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This tutorial builds a large circuitβwith 32 qubits and a gate depth of 14βin the following steps:
- Build: The circuit build has two steps:
- Layout the grid of qubits
- Define the gate operations on the grid of qubits
- Run options: In the final cell, the qsim simulator is run.
- Set
options = {'t' = 16, 'v' = 3}for 16 Cores, - and
Verbosity = 3.
- Set
- Run Calculate Amplitudes: The final step is running the circuit and calculating the amplitudes for two input bitstrings, as described by qsim_amplitudes usage.
Setup
Install the Cirq and qsimcirq packages:
import time
import numpy as np
try:
import cirq
except ImportError:
!pip install cirq --quiet
import cirq
try:
import qsimcirq
except ImportError:
!pip install qsimcirq --quiet
import qsimcirq
And import module dependencies for this tutorial:
Build the circuit
This is a large circuit with 32 qubits, and a depth of 14 quantum gate operations. Each cirq.GridQubit() call creates a simulated qubit with a grid location defined by the argument. This results in the grid of qubits q. The circuit is made up of a sequence of gate operations on the qubit grid. This explains the size of the circuit definition: each of the 32 qubits has a sequence of 14 gate operations applied.
The output of print(circuit) results in what renders as a complete circuit diagram, with each qubit represented as a line and the gate operations represented as notations on these lines.
Layout the grid of qubits
q = [
cirq.GridQubit(1, 5),
cirq.GridQubit(1, 6),
cirq.GridQubit(1, 7),
cirq.GridQubit(2, 4),
cirq.GridQubit(2, 5),
cirq.GridQubit(2, 6),
cirq.GridQubit(2, 7),
cirq.GridQubit(3, 3),
cirq.GridQubit(3, 4),
cirq.GridQubit(3, 5),
cirq.GridQubit(3, 6),
cirq.GridQubit(3, 7),
cirq.GridQubit(4, 2),
cirq.GridQubit(4, 3),
cirq.GridQubit(4, 4),
cirq.GridQubit(4, 5),
cirq.GridQubit(4, 6),
cirq.GridQubit(4, 7),
cirq.GridQubit(5, 1),
cirq.GridQubit(5, 2),
cirq.GridQubit(5, 3),
cirq.GridQubit(5, 4),
cirq.GridQubit(5, 5),
cirq.GridQubit(5, 6),
cirq.GridQubit(6, 1),
cirq.GridQubit(6, 2),
cirq.GridQubit(6, 3),
cirq.GridQubit(6, 4),
cirq.GridQubit(6, 5),
cirq.GridQubit(7, 2),
cirq.GridQubit(7, 3),
cirq.GridQubit(7, 4),
]
Define the gate operations on the qubits
circuit = cirq.Circuit(
[
cirq.Y(q[0]) ** 0.5,
cirq.X(q[1]) ** 0.5,
cirq.X(q[2]) ** 0.5,
cirq.X(q[3]) ** 0.5,
cirq.Y(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
cirq.Y(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
cirq.Y(q[9]) ** 0.5,
cirq.Y(q[10]) ** 0.5,
cirq.X(q[11]) ** 0.5,
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.X(q[13]) ** 0.5,
[cirq.X(q[14]) ** 0.5, cirq.H(q[14]) ** 0.5, cirq.X(q[14]) ** -0.5],
cirq.X(q[15]) ** 0.5,
cirq.X(q[16]) ** 0.5,
[cirq.X(q[17]) ** 0.5, cirq.H(q[17]) ** 0.5, cirq.X(q[17]) ** -0.5],
cirq.X(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
cirq.X(q[21]) ** 0.5,
cirq.Y(q[22]) ** 0.5,
cirq.Y(q[23]) ** 0.5,
cirq.X(q[24]) ** 0.5,
[cirq.X(q[25]) ** 0.5, cirq.H(q[25]) ** 0.5, cirq.X(q[25]) ** -0.5],
cirq.X(q[26]) ** 0.5,
cirq.X(q[27]) ** 0.5,
cirq.X(q[28]) ** 0.5,
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-2.079870303178702 * np.pi).on(q[1]),
cirq.rz(rads=2.0436918407499873 * np.pi).on(q[2]),
cirq.rz(rads=1.2371391697444234 * np.pi).on(q[3]),
cirq.rz(rads=-1.2825274365288457 * np.pi).on(q[4]),
cirq.rz(rads=-0.6529975013575373 * np.pi).on(q[5]),
cirq.rz(rads=0.21248377848559125 * np.pi).on(q[6]),
cirq.rz(rads=0.2767373377033284 * np.pi).on(q[8]),
cirq.rz(rads=-0.18492941569567625 * np.pi).on(q[9]),
cirq.rz(rads=0.02232591119805812 * np.pi).on(q[10]),
cirq.rz(rads=-0.030028573876142287 * np.pi).on(q[11]),
cirq.rz(rads=-0.8467509808142173 * np.pi).on(q[12]),
cirq.rz(rads=0.8164932597686655 * np.pi).on(q[13]),
cirq.rz(rads=-1.00125113388313 * np.pi).on(q[14]),
cirq.rz(rads=1.1224546746752684 * np.pi).on(q[15]),
cirq.rz(rads=-0.16310561378711827 * np.pi).on(q[16]),
cirq.rz(rads=0.1766183348870303 * np.pi).on(q[17]),
cirq.rz(rads=-0.22542387771877406 * np.pi).on(q[19]),
cirq.rz(rads=0.2814659583608806 * np.pi).on(q[20]),
cirq.rz(rads=-0.33113463396189063 * np.pi).on(q[21]),
cirq.rz(rads=0.40440704518468423 * np.pi).on(q[22]),
cirq.rz(rads=-0.4081262439699967 * np.pi).on(q[25]),
cirq.rz(rads=0.3666829187201306 * np.pi).on(q[26]),
cirq.rz(rads=-0.3507308388473503 * np.pi).on(q[27]),
cirq.rz(rads=0.37554649493270875 * np.pi).on(q[28]),
cirq.rz(rads=-1.4187954353764791 * np.pi).on(q[29]),
cirq.rz(rads=1.5102819373895253 * np.pi).on(q[30]),
[
cirq.ISWAP(q[1], q[2]) ** -0.9570391651387101,
cirq.CZ(q[1], q[2]) ** -0.17511624695473224,
],
[
cirq.ISWAP(q[3], q[4]) ** -1.0141403689884423,
cirq.CZ(q[3], q[4]) ** -0.17046670168281958,
],
[
cirq.ISWAP(q[5], q[6]) ** -1.013386784909492,
cirq.CZ(q[5], q[6]) ** 1.8378144783929071,
],
[
cirq.ISWAP(q[8], q[9]) ** -1.009868884178167,
cirq.CZ(q[8], q[9]) ** -0.16552586798219657,
],
[
cirq.ISWAP(q[10], q[11]) ** -0.973165668451805,
cirq.CZ(q[10], q[11]) ** -0.1627822085708043,
],
[
cirq.ISWAP(q[12], q[13]) ** -0.9967062367293744,
cirq.CZ(q[12], q[13]) ** -0.16320564272090876,
],
[
cirq.ISWAP(q[14], q[15]) ** -0.9733750299685556,
cirq.CZ(q[14], q[15]) ** -0.16091330726740966,
],
[
cirq.ISWAP(q[16], q[17]) ** -0.9794265878513263,
cirq.CZ(q[16], q[17]) ** -0.16849356010919606,
],
[
cirq.ISWAP(q[19], q[20]) ** -0.9375857698276336,
cirq.CZ(q[19], q[20]) ** -0.144908770657389,
],
[
cirq.ISWAP(q[21], q[22]) ** -0.9769678680475263,
cirq.CZ(q[21], q[22]) ** -0.16332605888196952,
],
[
cirq.ISWAP(q[25], q[26]) ** -0.9656924944561719,
cirq.CZ(q[25], q[26]) ** -0.1474408404408433,
],
[
cirq.ISWAP(q[27], q[28]) ** -0.9998377482375511,
cirq.CZ(q[27], q[28]) ** -0.15252451837046574,
],
[
cirq.ISWAP(q[29], q[30]) ** -0.9878279109459591,
cirq.CZ(q[29], q[30]) ** -0.1609201967232209,
],
cirq.rz(rads=1.3803105504474993 * np.pi).on(q[1]),
cirq.rz(rads=-1.4164890128762133 * np.pi).on(q[2]),
cirq.rz(rads=-0.7660705551087533 * np.pi).on(q[3]),
cirq.rz(rads=0.7206822883243308 * np.pi).on(q[4]),
cirq.rz(rads=1.3183560383893944 * np.pi).on(q[5]),
cirq.rz(rads=-1.7588697612613406 * np.pi).on(q[6]),
cirq.rz(rads=-0.6722145774944012 * np.pi).on(q[8]),
cirq.rz(rads=0.7640224995020534 * np.pi).on(q[9]),
cirq.rz(rads=0.5799079899133832 * np.pi).on(q[10]),
cirq.rz(rads=-0.5876106525914674 * np.pi).on(q[11]),
cirq.rz(rads=1.0843371101222938 * np.pi).on(q[12]),
cirq.rz(rads=-1.1145948311678457 * np.pi).on(q[13]),
cirq.rz(rads=0.7990757781248072 * np.pi).on(q[14]),
cirq.rz(rads=-0.6778722373326689 * np.pi).on(q[15]),
cirq.rz(rads=-1.6258237067659351 * np.pi).on(q[16]),
cirq.rz(rads=1.6393364278658469 * np.pi).on(q[17]),
cirq.rz(rads=0.7948295009385445 * np.pi).on(q[19]),
cirq.rz(rads=-0.7387874202964381 * np.pi).on(q[20]),
cirq.rz(rads=0.049341949396894985 * np.pi).on(q[21]),
cirq.rz(rads=0.02393046182589869 * np.pi).on(q[22]),
cirq.rz(rads=0.4710627118441926 * np.pi).on(q[25]),
cirq.rz(rads=-0.5125060370940587 * np.pi).on(q[26]),
cirq.rz(rads=2.1645856475342256 * np.pi).on(q[27]),
cirq.rz(rads=-2.1397699914488673 * np.pi).on(q[28]),
cirq.rz(rads=1.2773117920270392 * np.pi).on(q[29]),
cirq.rz(rads=-1.1858252900139932 * np.pi).on(q[30]),
cirq.X(q[0]) ** 0.5,
cirq.Y(q[1]) ** 0.5,
cirq.Y(q[2]) ** 0.5,
[cirq.X(q[3]) ** 0.5, cirq.H(q[3]) ** 0.5, cirq.X(q[3]) ** -0.5],
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
[cirq.X(q[5]) ** 0.5, cirq.H(q[5]) ** 0.5, cirq.X(q[5]) ** -0.5],
cirq.Y(q[6]) ** 0.5,
cirq.X(q[7]) ** 0.5,
cirq.Y(q[8]) ** 0.5,
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
[cirq.X(q[10]) ** 0.5, cirq.H(q[10]) ** 0.5, cirq.X(q[10]) ** -0.5],
[cirq.X(q[11]) ** 0.5, cirq.H(q[11]) ** 0.5, cirq.X(q[11]) ** -0.5],
cirq.Y(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
[cirq.X(q[15]) ** 0.5, cirq.H(q[15]) ** 0.5, cirq.X(q[15]) ** -0.5],
[cirq.X(q[16]) ** 0.5, cirq.H(q[16]) ** 0.5, cirq.X(q[16]) ** -0.5],
cirq.X(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
[cirq.X(q[19]) ** 0.5, cirq.H(q[19]) ** 0.5, cirq.X(q[19]) ** -0.5],
cirq.Y(q[20]) ** 0.5,
cirq.Y(q[21]) ** 0.5,
cirq.X(q[22]) ** 0.5,
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
cirq.Y(q[24]) ** 0.5,
cirq.Y(q[25]) ** 0.5,
cirq.Y(q[26]) ** 0.5,
[cirq.X(q[27]) ** 0.5, cirq.H(q[27]) ** 0.5, cirq.X(q[27]) ** -0.5],
cirq.Y(q[28]) ** 0.5,
cirq.X(q[29]) ** 0.5,
cirq.X(q[30]) ** 0.5,
[cirq.X(q[31]) ** 0.5, cirq.H(q[31]) ** 0.5, cirq.X(q[31]) ** -0.5],
cirq.rz(rads=-5.435868884042397 * np.pi).on(q[0]),
cirq.rz(rads=5.438497289344933 * np.pi).on(q[1]),
cirq.rz(rads=-5.19048555249959 * np.pi).on(q[4]),
cirq.rz(rads=5.170988862096221 * np.pi).on(q[5]),
cirq.rz(rads=2.5333591271878086 * np.pi).on(q[7]),
cirq.rz(rads=-2.4748096263683066 * np.pi).on(q[8]),
cirq.rz(rads=-4.480708067260001 * np.pi).on(q[9]),
cirq.rz(rads=4.525888267898699 * np.pi).on(q[10]),
cirq.rz(rads=2.135954522972214 * np.pi).on(q[13]),
cirq.rz(rads=-2.1822665205802965 * np.pi).on(q[14]),
cirq.rz(rads=-3.7780476633662574 * np.pi).on(q[15]),
cirq.rz(rads=3.817335880513747 * np.pi).on(q[16]),
cirq.rz(rads=-2.8819419896554686 * np.pi).on(q[18]),
cirq.rz(rads=2.9028256034569604 * np.pi).on(q[19]),
cirq.rz(rads=0.7811374803446167 * np.pi).on(q[20]),
cirq.rz(rads=-0.6780279413275597 * np.pi).on(q[21]),
cirq.rz(rads=1.863573798571082 * np.pi).on(q[22]),
cirq.rz(rads=-2.150412392135508 * np.pi).on(q[23]),
cirq.rz(rads=2.2532274955007456 * np.pi).on(q[24]),
cirq.rz(rads=-2.5360843333016145 * np.pi).on(q[25]),
cirq.rz(rads=2.3134893226730737 * np.pi).on(q[26]),
cirq.rz(rads=-2.238493420699622 * np.pi).on(q[27]),
cirq.rz(rads=1.42630741834175 * np.pi).on(q[30]),
cirq.rz(rads=-1.5270341780432073 * np.pi).on(q[31]),
[
cirq.ISWAP(q[0], q[1]) ** -0.969777854908417,
cirq.CZ(q[0], q[1]) ** -0.21266743136622576,
],
[
cirq.ISWAP(q[4], q[5]) ** -0.9959624181216683,
cirq.CZ(q[4], q[5]) ** -0.17314460131772672,
],
[
cirq.ISWAP(q[7], q[8]) ** -0.8242343706275942,
cirq.CZ(q[7], q[8]) ** -0.15468164635790926,
],
[
cirq.ISWAP(q[9], q[10]) ** -0.981653050634976,
cirq.CZ(q[9], q[10]) ** -0.1933349989832593,
],
[
cirq.ISWAP(q[13], q[14]) ** -0.9637565510028211,
cirq.CZ(q[13], q[14]) ** -0.15186761578643612,
],
[
cirq.ISWAP(q[15], q[16]) ** -1.0089894642925605,
cirq.CZ(q[15], q[16]) ** -0.17298943435986638,
],
[
cirq.ISWAP(q[18], q[19]) ** -0.9446726997534635,
cirq.CZ(q[18], q[19]) ** -0.16140479146278733,
],
[
cirq.ISWAP(q[20], q[21]) ** -0.980271915828302,
cirq.CZ(q[20], q[21]) ** -0.16470994863165317,
],
[
cirq.ISWAP(q[22], q[23]) ** -0.9290392306402181,
cirq.CZ(q[22], q[23]) ** -0.1664963204791881,
],
[
cirq.ISWAP(q[24], q[25]) ** -0.9486971380890047,
cirq.CZ(q[24], q[25]) ** -0.1448964931003518,
],
[
cirq.ISWAP(q[26], q[27]) ** -0.9789198374818319,
cirq.CZ(q[26], q[27]) ** -0.14726825222820017,
],
[
cirq.ISWAP(q[30], q[31]) ** -0.9389507566733047,
cirq.CZ(q[30], q[31]) ** -0.1385796856074536,
],
cirq.rz(rads=5.79385605258612 * np.pi).on(q[0]),
cirq.rz(rads=-5.791227647283584 * np.pi).on(q[1]),
cirq.rz(rads=5.223139057027918 * np.pi).on(q[4]),
cirq.rz(rads=-5.242635747431287 * np.pi).on(q[5]),
cirq.rz(rads=-2.346072351850546 * np.pi).on(q[7]),
cirq.rz(rads=2.404621852670048 * np.pi).on(q[8]),
cirq.rz(rads=5.048199817882042 * np.pi).on(q[9]),
cirq.rz(rads=-5.0030196172433445 * np.pi).on(q[10]),
cirq.rz(rads=-2.6543362735839113 * np.pi).on(q[13]),
cirq.rz(rads=2.6080242759758283 * np.pi).on(q[14]),
cirq.rz(rads=3.9045088495271663 * np.pi).on(q[15]),
cirq.rz(rads=-3.8652206323796765 * np.pi).on(q[16]),
cirq.rz(rads=1.9770644223044243 * np.pi).on(q[18]),
cirq.rz(rads=-1.9561808085029322 * np.pi).on(q[19]),
cirq.rz(rads=-1.5516585295358842 * np.pi).on(q[20]),
cirq.rz(rads=1.6547680685529413 * np.pi).on(q[21]),
cirq.rz(rads=-1.8933072151541963 * np.pi).on(q[22]),
cirq.rz(rads=1.6064686215897703 * np.pi).on(q[23]),
cirq.rz(rads=-0.5449135022758093 * np.pi).on(q[24]),
cirq.rz(rads=0.2620566644749405 * np.pi).on(q[25]),
cirq.rz(rads=-2.3490397609251703 * np.pi).on(q[26]),
cirq.rz(rads=2.424035662898622 * np.pi).on(q[27]),
cirq.rz(rads=-1.8655832225378013 * np.pi).on(q[30]),
cirq.rz(rads=1.7648564628363437 * np.pi).on(q[31]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
cirq.X(q[1]) ** 0.5,
cirq.X(q[2]) ** 0.5,
cirq.Y(q[3]) ** 0.5,
cirq.X(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
cirq.Y(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
cirq.Y(q[9]) ** 0.5,
cirq.Y(q[10]) ** 0.5,
cirq.X(q[11]) ** 0.5,
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.X(q[13]) ** 0.5,
cirq.X(q[14]) ** 0.5,
cirq.Y(q[15]) ** 0.5,
cirq.Y(q[16]) ** 0.5,
cirq.Y(q[17]) ** 0.5,
cirq.X(q[18]) ** 0.5,
cirq.X(q[19]) ** 0.5,
[cirq.X(q[20]) ** 0.5, cirq.H(q[20]) ** 0.5, cirq.X(q[20]) ** -0.5],
cirq.X(q[21]) ** 0.5,
cirq.Y(q[22]) ** 0.5,
cirq.X(q[23]) ** 0.5,
[cirq.X(q[24]) ** 0.5, cirq.H(q[24]) ** 0.5, cirq.X(q[24]) ** -0.5],
[cirq.X(q[25]) ** 0.5, cirq.H(q[25]) ** 0.5, cirq.X(q[25]) ** -0.5],
cirq.X(q[26]) ** 0.5,
cirq.Y(q[27]) ** 0.5,
cirq.X(q[28]) ** 0.5,
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
cirq.Y(q[31]) ** 0.5,
cirq.rz(rads=-6.214223110662173 * np.pi).on(q[3]),
cirq.rz(rads=6.24431588336413 * np.pi).on(q[8]),
cirq.rz(rads=-6.196295096608877 * np.pi).on(q[4]),
cirq.rz(rads=6.191833422443152 * np.pi).on(q[9]),
cirq.rz(rads=-5.367868774756692 * np.pi).on(q[5]),
cirq.rz(rads=5.257156584109544 * np.pi).on(q[10]),
cirq.rz(rads=-1.6118072404137829 * np.pi).on(q[6]),
cirq.rz(rads=1.5665192386902935 * np.pi).on(q[11]),
cirq.rz(rads=-5.408932498710608 * np.pi).on(q[12]),
cirq.rz(rads=5.396221422935972 * np.pi).on(q[19]),
cirq.rz(rads=-3.2786928385561493 * np.pi).on(q[13]),
cirq.rz(rads=3.339006443218924 * np.pi).on(q[20]),
cirq.rz(rads=-5.390755870544794 * np.pi).on(q[14]),
cirq.rz(rads=5.4172568990486605 * np.pi).on(q[21]),
cirq.rz(rads=-5.620144773112766 * np.pi).on(q[15]),
cirq.rz(rads=5.630469153514815 * np.pi).on(q[22]),
cirq.rz(rads=4.367652291347506 * np.pi).on(q[16]),
cirq.rz(rads=-3.9105776028384707 * np.pi).on(q[23]),
cirq.rz(rads=7.0181466269225865 * np.pi).on(q[25]),
cirq.rz(rads=-7.000766026200176 * np.pi).on(q[29]),
cirq.rz(rads=5.700873278515409 * np.pi).on(q[26]),
cirq.rz(rads=-5.683378195921049 * np.pi).on(q[30]),
cirq.rz(rads=4.586335789661189 * np.pi).on(q[27]),
cirq.rz(rads=-4.76537552715921 * np.pi).on(q[31]),
[
cirq.ISWAP(q[3], q[8]) ** -0.9582439102445623,
cirq.CZ(q[3], q[8]) ** -0.16481196420780725,
],
[
cirq.ISWAP(q[4], q[9]) ** -0.9924132629744455,
cirq.CZ(q[4], q[9]) ** -0.17814200700009597,
],
[
cirq.ISWAP(q[5], q[10]) ** -1.0126733526485854,
cirq.CZ(q[5], q[10]) ** -0.18074346084220166,
],
[
cirq.ISWAP(q[6], q[11]) ** -0.9737940569293067,
cirq.CZ(q[6], q[11]) ** -0.17117494551642629,
],
[
cirq.ISWAP(q[12], q[19]) ** -0.9744121515000286,
cirq.CZ(q[12], q[19]) ** -0.16733875650098531,
],
[
cirq.ISWAP(q[13], q[20]) ** -1.0121115249769066,
cirq.CZ(q[13], q[20]) ** -0.16059979031178617,
],
[
cirq.ISWAP(q[14], q[21]) ** -0.985003985982119,
cirq.CZ(q[14], q[21]) ** -0.16606010863938203,
],
[
cirq.ISWAP(q[15], q[22]) ** -0.9628319095031052,
cirq.CZ(q[15], q[22]) ** -0.16339300450568622,
],
[
cirq.ISWAP(q[16], q[23]) ** -0.9999941453695372,
cirq.CZ(q[16], q[23]) ** -0.16477879415124544,
],
[
cirq.ISWAP(q[25], q[29]) ** -1.0162656461553201,
cirq.CZ(q[25], q[29]) ** -0.1624755502163923,
],
[
cirq.ISWAP(q[26], q[30]) ** -0.9778318391639494,
cirq.CZ(q[26], q[30]) ** -0.17777349355837574,
],
[
cirq.ISWAP(q[27], q[31]) ** -0.881941750344955,
cirq.CZ(q[27], q[31]) ** -0.18326258546194193,
],
cirq.rz(rads=6.89944406229822 * np.pi).on(q[3]),
cirq.rz(rads=-6.869351289596263 * np.pi).on(q[8]),
cirq.rz(rads=6.506615138479995 * np.pi).on(q[4]),
cirq.rz(rads=-6.511076812645719 * np.pi).on(q[9]),
cirq.rz(rads=6.150506057270183 * np.pi).on(q[5]),
cirq.rz(rads=-6.2612182479173315 * np.pi).on(q[10]),
cirq.rz(rads=2.4087294851133443 * np.pi).on(q[6]),
cirq.rz(rads=-2.4540174868368334 * np.pi).on(q[11]),
cirq.rz(rads=4.737705877923889 * np.pi).on(q[12]),
cirq.rz(rads=-4.750416953698525 * np.pi).on(q[19]),
cirq.rz(rads=2.9425087256630427 * np.pi).on(q[13]),
cirq.rz(rads=-2.882195121000268 * np.pi).on(q[20]),
cirq.rz(rads=4.466531408750767 * np.pi).on(q[14]),
cirq.rz(rads=-4.440030380246901 * np.pi).on(q[21]),
cirq.rz(rads=4.486471496440378 * np.pi).on(q[15]),
cirq.rz(rads=-4.476147116038329 * np.pi).on(q[22]),
cirq.rz(rads=-4.89701654221443 * np.pi).on(q[16]),
cirq.rz(rads=5.354091230723465 * np.pi).on(q[23]),
cirq.rz(rads=-5.629287261948809 * np.pi).on(q[25]),
cirq.rz(rads=5.646667862671219 * np.pi).on(q[29]),
cirq.rz(rads=-5.760627714067928 * np.pi).on(q[26]),
cirq.rz(rads=5.778122796662288 * np.pi).on(q[30]),
cirq.rz(rads=-3.985782702743221 * np.pi).on(q[27]),
cirq.rz(rads=3.806742965245199 * np.pi).on(q[31]),
cirq.X(q[0]) ** 0.5,
cirq.Y(q[1]) ** 0.5,
cirq.Y(q[2]) ** 0.5,
[cirq.X(q[3]) ** 0.5, cirq.H(q[3]) ** 0.5, cirq.X(q[3]) ** -0.5],
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
cirq.Y(q[5]) ** 0.5,
cirq.X(q[6]) ** 0.5,
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.X(q[8]) ** 0.5,
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
[cirq.X(q[10]) ** 0.5, cirq.H(q[10]) ** 0.5, cirq.X(q[10]) ** -0.5],
cirq.Y(q[11]) ** 0.5,
cirq.Y(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
[cirq.X(q[15]) ** 0.5, cirq.H(q[15]) ** 0.5, cirq.X(q[15]) ** -0.5],
[cirq.X(q[16]) ** 0.5, cirq.H(q[16]) ** 0.5, cirq.X(q[16]) ** -0.5],
cirq.X(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
cirq.Y(q[21]) ** 0.5,
cirq.X(q[22]) ** 0.5,
cirq.Y(q[23]) ** 0.5,
cirq.X(q[24]) ** 0.5,
cirq.X(q[25]) ** 0.5,
cirq.Y(q[26]) ** 0.5,
[cirq.X(q[27]) ** 0.5, cirq.H(q[27]) ** 0.5, cirq.X(q[27]) ** -0.5],
[cirq.X(q[28]) ** 0.5, cirq.H(q[28]) ** 0.5, cirq.X(q[28]) ** -0.5],
cirq.X(q[29]) ** 0.5,
cirq.Y(q[30]) ** 0.5,
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-2.4865845873665364 * np.pi).on(q[0]),
cirq.rz(rads=2.4890814068883764 * np.pi).on(q[4]),
cirq.rz(rads=-2.4240781150731663 * np.pi).on(q[1]),
cirq.rz(rads=2.419398026235366 * np.pi).on(q[5]),
cirq.rz(rads=2.3861256785493166 * np.pi).on(q[2]),
cirq.rz(rads=-2.392456163642626 * np.pi).on(q[6]),
cirq.rz(rads=12.703597923836748 * np.pi).on(q[7]),
cirq.rz(rads=-12.7869629079138 * np.pi).on(q[13]),
cirq.rz(rads=12.184253063938954 * np.pi).on(q[8]),
cirq.rz(rads=-12.108584830758572 * np.pi).on(q[14]),
cirq.rz(rads=3.782562501914174 * np.pi).on(q[9]),
cirq.rz(rads=-3.873596611893716 * np.pi).on(q[15]),
cirq.rz(rads=4.772639843256901 * np.pi).on(q[10]),
cirq.rz(rads=-4.771314675186062 * np.pi).on(q[16]),
cirq.rz(rads=8.49593730829863 * np.pi).on(q[11]),
cirq.rz(rads=-8.479908941862229 * np.pi).on(q[17]),
cirq.rz(rads=1.639481743922408 * np.pi).on(q[18]),
cirq.rz(rads=-1.9319083897827265 * np.pi).on(q[24]),
cirq.rz(rads=9.60223181672896 * np.pi).on(q[19]),
cirq.rz(rads=-9.605639326034064 * np.pi).on(q[25]),
cirq.rz(rads=6.330499004273446 * np.pi).on(q[20]),
cirq.rz(rads=-6.2177071019033425 * np.pi).on(q[26]),
cirq.rz(rads=9.851852381617888 * np.pi).on(q[21]),
cirq.rz(rads=-9.926465199012979 * np.pi).on(q[27]),
cirq.rz(rads=6.431104618355057 * np.pi).on(q[22]),
cirq.rz(rads=-6.38660616379351 * np.pi).on(q[28]),
[
cirq.ISWAP(q[0], q[4]) ** -0.9984812470539374,
cirq.CZ(q[0], q[4]) ** -0.17233320530255947,
],
[
cirq.ISWAP(q[1], q[5]) ** -1.0282887997603027,
cirq.CZ(q[1], q[5]) ** -0.16427011854127802,
],
[
cirq.ISWAP(q[2], q[6]) ** -0.9575293160506735,
cirq.CZ(q[2], q[6]) ** -0.21522732166595954,
],
[
cirq.ISWAP(q[7], q[13]) ** -0.933831313649303,
cirq.CZ(q[7], q[13]) ** -0.1583933739924931,
],
[
cirq.ISWAP(q[8], q[14]) ** -0.9390847780661252,
cirq.CZ(q[8], q[14]) ** -0.17144555428591543,
],
[
cirq.ISWAP(q[9], q[15]) ** -1.0209160715892363,
cirq.CZ(q[9], q[15]) ** -0.14849009270439747,
],
[
cirq.ISWAP(q[10], q[16]) ** -1.0287988330229174,
cirq.CZ(q[10], q[16]) ** -0.1385888562342036,
],
[
cirq.ISWAP(q[11], q[17]) ** -1.0128317439690167,
cirq.CZ(q[11], q[17]) ** -0.1669440143200578,
],
[
cirq.ISWAP(q[18], q[24]) ** -0.8044060664115181,
cirq.CZ(q[18], q[24]) ** -0.10552370353526683,
],
[
cirq.ISWAP(q[19], q[25]) ** -0.9705721508169989,
cirq.CZ(q[19], q[25]) ** -0.15402718033611607,
],
[
cirq.ISWAP(q[20], q[26]) ** -0.989459174023089,
cirq.CZ(q[20], q[26]) ** -0.16509252502035418,
],
[
cirq.ISWAP(q[21], q[27]) ** -0.9618960066063004,
cirq.CZ(q[21], q[27]) ** -0.15722561327755682,
],
[
cirq.ISWAP(q[22], q[28]) ** -1.0052002427791902,
cirq.CZ(q[22], q[28]) ** -0.16175415193774326,
],
cirq.rz(rads=2.557874433792943 * np.pi).on(q[0]),
cirq.rz(rads=-2.555377614271102 * np.pi).on(q[4]),
cirq.rz(rads=1.9789952328325573 * np.pi).on(q[1]),
cirq.rz(rads=-1.9836753216703575 * np.pi).on(q[5]),
cirq.rz(rads=-2.805807436079691 * np.pi).on(q[2]),
cirq.rz(rads=2.7994769509863815 * np.pi).on(q[6]),
cirq.rz(rads=-12.477250219528523 * np.pi).on(q[7]),
cirq.rz(rads=12.39388523545147 * np.pi).on(q[13]),
cirq.rz(rads=-11.31088974563283 * np.pi).on(q[8]),
cirq.rz(rads=11.386557978813212 * np.pi).on(q[14]),
cirq.rz(rads=-5.4898636407973544 * np.pi).on(q[9]),
cirq.rz(rads=5.398829530817813 * np.pi).on(q[15]),
cirq.rz(rads=-5.863871460773714 * np.pi).on(q[10]),
cirq.rz(rads=5.8651966288445525 * np.pi).on(q[16]),
cirq.rz(rads=-8.850693052252502 * np.pi).on(q[11]),
cirq.rz(rads=8.866721418688904 * np.pi).on(q[17]),
cirq.rz(rads=-2.40381552479658 * np.pi).on(q[18]),
cirq.rz(rads=2.1113888789362614 * np.pi).on(q[24]),
cirq.rz(rads=-10.03456101076628 * np.pi).on(q[19]),
cirq.rz(rads=10.031153501461176 * np.pi).on(q[25]),
cirq.rz(rads=-5.434421382024706 * np.pi).on(q[20]),
cirq.rz(rads=5.54721328439481 * np.pi).on(q[26]),
cirq.rz(rads=-9.17988634353845 * np.pi).on(q[21]),
cirq.rz(rads=9.10527352614336 * np.pi).on(q[27]),
cirq.rz(rads=-6.5670035038476025 * np.pi).on(q[22]),
cirq.rz(rads=6.61150195840915 * np.pi).on(q[28]),
cirq.Y(q[0]) ** 0.5,
cirq.X(q[1]) ** 0.5,
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
cirq.X(q[3]) ** 0.5,
cirq.Y(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
cirq.Y(q[6]) ** 0.5,
cirq.Y(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
cirq.X(q[9]) ** 0.5,
cirq.Y(q[10]) ** 0.5,
cirq.X(q[11]) ** 0.5,
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.X(q[13]) ** 0.5,
cirq.X(q[14]) ** 0.5,
cirq.Y(q[15]) ** 0.5,
cirq.X(q[16]) ** 0.5,
cirq.Y(q[17]) ** 0.5,
cirq.X(q[18]) ** 0.5,
cirq.X(q[19]) ** 0.5,
cirq.Y(q[20]) ** 0.5,
cirq.X(q[21]) ** 0.5,
cirq.Y(q[22]) ** 0.5,
cirq.X(q[23]) ** 0.5,
cirq.Y(q[24]) ** 0.5,
cirq.Y(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
cirq.Y(q[27]) ** 0.5,
cirq.X(q[28]) ** 0.5,
cirq.Y(q[29]) ** 0.5,
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
cirq.Y(q[31]) ** 0.5,
cirq.rz(rads=-13.031870303178678 * np.pi).on(q[1]),
cirq.rz(rads=12.995691840749963 * np.pi).on(q[2]),
cirq.rz(rads=5.381139169744492 * np.pi).on(q[3]),
cirq.rz(rads=-5.426527436528915 * np.pi).on(q[4]),
cirq.rz(rads=-6.86899750135751 * np.pi).on(q[5]),
cirq.rz(rads=6.428483778485565 * np.pi).on(q[6]),
cirq.rz(rads=5.16073733770325 * np.pi).on(q[8]),
cirq.rz(rads=-5.068929415695599 * np.pi).on(q[9]),
cirq.rz(rads=-0.7176740888019262 * np.pi).on(q[10]),
cirq.rz(rads=0.7099714261238419 * np.pi).on(q[11]),
cirq.rz(rads=-4.694750980814187 * np.pi).on(q[12]),
cirq.rz(rads=4.664493259768636 * np.pi).on(q[13]),
cirq.rz(rads=-4.701251133883051 * np.pi).on(q[14]),
cirq.rz(rads=4.82245467467519 * np.pi).on(q[15]),
cirq.rz(rads=3.5368943862129347 * np.pi).on(q[16]),
cirq.rz(rads=-3.523381665113022 * np.pi).on(q[17]),
cirq.rz(rads=-1.113423877718808 * np.pi).on(q[19]),
cirq.rz(rads=1.1694659583609144 * np.pi).on(q[20]),
cirq.rz(rads=-3.587134633961795 * np.pi).on(q[21]),
cirq.rz(rads=3.6604070451845887 * np.pi).on(q[22]),
cirq.rz(rads=-5.2921262439699195 * np.pi).on(q[25]),
cirq.rz(rads=5.250682918720053 * np.pi).on(q[26]),
cirq.rz(rads=-6.349327548997941 * np.pi).on(q[27]),
cirq.rz(rads=6.3741432050833 * np.pi).on(q[28]),
cirq.rz(rads=-7.486795435376533 * np.pi).on(q[29]),
cirq.rz(rads=7.578281937389579 * np.pi).on(q[30]),
[
cirq.ISWAP(q[1], q[2]) ** -0.9570391651387101,
cirq.CZ(q[1], q[2]) ** -0.17511624695473224,
],
[
cirq.ISWAP(q[3], q[4]) ** -1.0141403689884423,
cirq.CZ(q[3], q[4]) ** -0.17046670168281958,
],
[
cirq.ISWAP(q[5], q[6]) ** -1.013386784909492,
cirq.CZ(q[5], q[6]) ** 1.8378144783929071,
],
[
cirq.ISWAP(q[8], q[9]) ** -1.009868884178167,
cirq.CZ(q[8], q[9]) ** -0.16552586798219657,
],
[
cirq.ISWAP(q[10], q[11]) ** -0.973165668451805,
cirq.CZ(q[10], q[11]) ** -0.1627822085708043,
],
[
cirq.ISWAP(q[12], q[13]) ** -0.9967062367293744,
cirq.CZ(q[12], q[13]) ** -0.16320564272090876,
],
[
cirq.ISWAP(q[14], q[15]) ** -0.9733750299685556,
cirq.CZ(q[14], q[15]) ** -0.16091330726740966,
],
[
cirq.ISWAP(q[16], q[17]) ** -0.9794265878513263,
cirq.CZ(q[16], q[17]) ** -0.16849356010919606,
],
[
cirq.ISWAP(q[19], q[20]) ** -0.9375857698276336,
cirq.CZ(q[19], q[20]) ** -0.144908770657389,
],
[
cirq.ISWAP(q[21], q[22]) ** -0.9769678680475263,
cirq.CZ(q[21], q[22]) ** -0.16332605888196952,
],
[
cirq.ISWAP(q[25], q[26]) ** -0.9656924944561719,
cirq.CZ(q[25], q[26]) ** -0.1474408404408433,
],
[
cirq.ISWAP(q[27], q[28]) ** -0.9998377482375511,
cirq.CZ(q[27], q[28]) ** -0.15252451837046574,
],
[
cirq.ISWAP(q[29], q[30]) ** -0.9878279109459591,
cirq.CZ(q[29], q[30]) ** -0.1609201967232209,
],
cirq.rz(rads=12.332310550447476 * np.pi).on(q[1]),
cirq.rz(rads=-12.36848901287619 * np.pi).on(q[2]),
cirq.rz(rads=-4.910070555108823 * np.pi).on(q[3]),
cirq.rz(rads=4.864682288324399 * np.pi).on(q[4]),
cirq.rz(rads=7.534356038389369 * np.pi).on(q[5]),
cirq.rz(rads=-7.974869761261314 * np.pi).on(q[6]),
cirq.rz(rads=-5.556214577494324 * np.pi).on(q[8]),
cirq.rz(rads=5.648022499501975 * np.pi).on(q[9]),
cirq.rz(rads=1.3199079899133674 * np.pi).on(q[10]),
cirq.rz(rads=-1.3276106525914517 * np.pi).on(q[11]),
cirq.rz(rads=4.932337110122265 * np.pi).on(q[12]),
cirq.rz(rads=-4.9625948311678165 * np.pi).on(q[13]),
cirq.rz(rads=4.499075778124728 * np.pi).on(q[14]),
cirq.rz(rads=-4.37787223733259 * np.pi).on(q[15]),
cirq.rz(rads=-5.325823706765988 * np.pi).on(q[16]),
cirq.rz(rads=5.3393364278658995 * np.pi).on(q[17]),
cirq.rz(rads=1.682829500938578 * np.pi).on(q[19]),
cirq.rz(rads=-1.6267874202964716 * np.pi).on(q[20]),
cirq.rz(rads=3.305341949396799 * np.pi).on(q[21]),
cirq.rz(rads=-3.232069538174005 * np.pi).on(q[22]),
cirq.rz(rads=5.3550627118441145 * np.pi).on(q[25]),
cirq.rz(rads=-5.39650603709398 * np.pi).on(q[26]),
cirq.rz(rads=8.163182357684818 * np.pi).on(q[27]),
cirq.rz(rads=-8.138366701599459 * np.pi).on(q[28]),
cirq.rz(rads=7.345311792027093 * np.pi).on(q[29]),
cirq.rz(rads=-7.253825290014047 * np.pi).on(q[30]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
cirq.Y(q[1]) ** 0.5,
cirq.Y(q[2]) ** 0.5,
[cirq.X(q[3]) ** 0.5, cirq.H(q[3]) ** 0.5, cirq.X(q[3]) ** -0.5],
cirq.X(q[4]) ** 0.5,
[cirq.X(q[5]) ** 0.5, cirq.H(q[5]) ** 0.5, cirq.X(q[5]) ** -0.5],
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.X(q[8]) ** 0.5,
cirq.Y(q[9]) ** 0.5,
cirq.X(q[10]) ** 0.5,
cirq.Y(q[11]) ** 0.5,
cirq.X(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
[cirq.X(q[15]) ** 0.5, cirq.H(q[15]) ** 0.5, cirq.X(q[15]) ** -0.5],
cirq.Y(q[16]) ** 0.5,
cirq.X(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
[cirq.X(q[21]) ** 0.5, cirq.H(q[21]) ** 0.5, cirq.X(q[21]) ** -0.5],
cirq.X(q[22]) ** 0.5,
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
cirq.X(q[24]) ** 0.5,
cirq.X(q[25]) ** 0.5,
cirq.X(q[26]) ** 0.5,
cirq.X(q[27]) ** 0.5,
[cirq.X(q[28]) ** 0.5, cirq.H(q[28]) ** 0.5, cirq.X(q[28]) ** -0.5],
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
cirq.Y(q[30]) ** 0.5,
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-17.867868884042345 * np.pi).on(q[0]),
cirq.rz(rads=17.87049728934488 * np.pi).on(q[1]),
cirq.rz(rads=-17.622485552499665 * np.pi).on(q[4]),
cirq.rz(rads=17.602988862096296 * np.pi).on(q[5]),
cirq.rz(rads=7.565359127187911 * np.pi).on(q[7]),
cirq.rz(rads=-7.506809626368408 * np.pi).on(q[8]),
cirq.rz(rads=-15.28470806725993 * np.pi).on(q[9]),
cirq.rz(rads=15.329888267898626 * np.pi).on(q[10]),
cirq.rz(rads=7.019954522972137 * np.pi).on(q[13]),
cirq.rz(rads=-7.066266520580219 * np.pi).on(q[14]),
cirq.rz(rads=-13.842047663366333 * np.pi).on(q[15]),
cirq.rz(rads=13.881335880513822 * np.pi).on(q[16]),
cirq.rz(rads=-7.765941989655391 * np.pi).on(q[18]),
cirq.rz(rads=7.786825603456883 * np.pi).on(q[19]),
cirq.rz(rads=3.001137480344569 * np.pi).on(q[20]),
cirq.rz(rads=-2.8980279413275123 * np.pi).on(q[21]),
cirq.rz(rads=5.563573798571002 * np.pi).on(q[22]),
cirq.rz(rads=-5.8504123921354285 * np.pi).on(q[23]),
cirq.rz(rads=5.509227495500649 * np.pi).on(q[24]),
cirq.rz(rads=-5.792084333301517 * np.pi).on(q[25]),
cirq.rz(rads=7.868086032823645 * np.pi).on(q[26]),
cirq.rz(rads=-7.793090130850194 * np.pi).on(q[27]),
cirq.rz(rads=4.3863074183418185 * np.pi).on(q[30]),
cirq.rz(rads=-4.487034178043276 * np.pi).on(q[31]),
[
cirq.ISWAP(q[0], q[1]) ** -0.969777854908417,
cirq.CZ(q[0], q[1]) ** -0.21266743136622576,
],
[
cirq.ISWAP(q[4], q[5]) ** -0.9959624181216683,
cirq.CZ(q[4], q[5]) ** -0.17314460131772672,
],
[
cirq.ISWAP(q[7], q[8]) ** -0.8242343706275942,
cirq.CZ(q[7], q[8]) ** -0.15468164635790926,
],
[
cirq.ISWAP(q[9], q[10]) ** -0.981653050634976,
cirq.CZ(q[9], q[10]) ** -0.1933349989832593,
],
[
cirq.ISWAP(q[13], q[14]) ** -0.9637565510028211,
cirq.CZ(q[13], q[14]) ** -0.15186761578643612,
],
[
cirq.ISWAP(q[15], q[16]) ** -1.0089894642925605,
cirq.CZ(q[15], q[16]) ** -0.17298943435986638,
],
[
cirq.ISWAP(q[18], q[19]) ** -0.9446726997534635,
cirq.CZ(q[18], q[19]) ** -0.16140479146278733,
],
[
cirq.ISWAP(q[20], q[21]) ** -0.980271915828302,
cirq.CZ(q[20], q[21]) ** -0.16470994863165317,
],
[
cirq.ISWAP(q[22], q[23]) ** -0.9290392306402181,
cirq.CZ(q[22], q[23]) ** -0.1664963204791881,
],
[
cirq.ISWAP(q[24], q[25]) ** -0.9486971380890047,
cirq.CZ(q[24], q[25]) ** -0.1448964931003518,
],
[
cirq.ISWAP(q[26], q[27]) ** -0.9789198374818319,
cirq.CZ(q[26], q[27]) ** -0.14726825222820017,
],
[
cirq.ISWAP(q[30], q[31]) ** -0.9389507566733047,
cirq.CZ(q[30], q[31]) ** -0.1385796856074536,
],
cirq.rz(rads=18.225856052586064 * np.pi).on(q[0]),
cirq.rz(rads=-18.223227647283533 * np.pi).on(q[1]),
cirq.rz(rads=17.655139057028 * np.pi).on(q[4]),
cirq.rz(rads=-17.674635747431363 * np.pi).on(q[5]),
cirq.rz(rads=-7.378072351850649 * np.pi).on(q[7]),
cirq.rz(rads=7.436621852670151 * np.pi).on(q[8]),
cirq.rz(rads=15.852199817881967 * np.pi).on(q[9]),
cirq.rz(rads=-15.80701961724327 * np.pi).on(q[10]),
cirq.rz(rads=-7.538336273583833 * np.pi).on(q[13]),
cirq.rz(rads=7.492024275975751 * np.pi).on(q[14]),
cirq.rz(rads=13.968508849527241 * np.pi).on(q[15]),
cirq.rz(rads=-13.929220632379753 * np.pi).on(q[16]),
cirq.rz(rads=6.861064422304347 * np.pi).on(q[18]),
cirq.rz(rads=-6.840180808502855 * np.pi).on(q[19]),
cirq.rz(rads=-3.771658529535837 * np.pi).on(q[20]),
cirq.rz(rads=3.874768068552894 * np.pi).on(q[21]),
cirq.rz(rads=-5.593307215154117 * np.pi).on(q[22]),
cirq.rz(rads=5.30646862158969 * np.pi).on(q[23]),
cirq.rz(rads=-3.800913502275713 * np.pi).on(q[24]),
cirq.rz(rads=3.5180566644748446 * np.pi).on(q[25]),
cirq.rz(rads=-7.9036364710757425 * np.pi).on(q[26]),
cirq.rz(rads=7.978632373049194 * np.pi).on(q[27]),
cirq.rz(rads=-4.825583222537869 * np.pi).on(q[30]),
cirq.rz(rads=4.724856462836412 * np.pi).on(q[31]),
cirq.X(q[0]) ** 0.5,
[cirq.X(q[1]) ** 0.5, cirq.H(q[1]) ** 0.5, cirq.X(q[1]) ** -0.5],
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
cirq.Y(q[3]) ** 0.5,
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
cirq.X(q[5]) ** 0.5,
cirq.Y(q[6]) ** 0.5,
cirq.X(q[7]) ** 0.5,
cirq.Y(q[8]) ** 0.5,
cirq.X(q[9]) ** 0.5,
cirq.Y(q[10]) ** 0.5,
cirq.X(q[11]) ** 0.5,
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.Y(q[13]) ** 0.5,
[cirq.X(q[14]) ** 0.5, cirq.H(q[14]) ** 0.5, cirq.X(q[14]) ** -0.5],
cirq.Y(q[15]) ** 0.5,
[cirq.X(q[16]) ** 0.5, cirq.H(q[16]) ** 0.5, cirq.X(q[16]) ** -0.5],
[cirq.X(q[17]) ** 0.5, cirq.H(q[17]) ** 0.5, cirq.X(q[17]) ** -0.5],
[cirq.X(q[18]) ** 0.5, cirq.H(q[18]) ** 0.5, cirq.X(q[18]) ** -0.5],
[cirq.X(q[19]) ** 0.5, cirq.H(q[19]) ** 0.5, cirq.X(q[19]) ** -0.5],
[cirq.X(q[20]) ** 0.5, cirq.H(q[20]) ** 0.5, cirq.X(q[20]) ** -0.5],
cirq.Y(q[21]) ** 0.5,
cirq.Y(q[22]) ** 0.5,
cirq.Y(q[23]) ** 0.5,
[cirq.X(q[24]) ** 0.5, cirq.H(q[24]) ** 0.5, cirq.X(q[24]) ** -0.5],
cirq.Y(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
[cirq.X(q[27]) ** 0.5, cirq.H(q[27]) ** 0.5, cirq.X(q[27]) ** -0.5],
cirq.Y(q[28]) ** 0.5,
cirq.Y(q[29]) ** 0.5,
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
[cirq.X(q[31]) ** 0.5, cirq.H(q[31]) ** 0.5, cirq.X(q[31]) ** -0.5],
cirq.rz(rads=-16.574223110662086 * np.pi).on(q[3]),
cirq.rz(rads=16.60431588336404 * np.pi).on(q[8]),
cirq.rz(rads=-15.816295096608934 * np.pi).on(q[4]),
cirq.rz(rads=15.811833422443211 * np.pi).on(q[9]),
cirq.rz(rads=-13.3598687747566 * np.pi).on(q[5]),
cirq.rz(rads=13.249156584109453 * np.pi).on(q[10]),
cirq.rz(rads=-4.127807240413703 * np.pi).on(q[6]),
cirq.rz(rads=4.082519238690215 * np.pi).on(q[11]),
cirq.rz(rads=-13.252932498710596 * np.pi).on(q[12]),
cirq.rz(rads=13.24022142293596 * np.pi).on(q[19]),
cirq.rz(rads=-8.162692838556204 * np.pi).on(q[13]),
cirq.rz(rads=8.223006443218978 * np.pi).on(q[20]),
cirq.rz(rads=-12.938755870544817 * np.pi).on(q[14]),
cirq.rz(rads=12.965256899048683 * np.pi).on(q[21]),
cirq.rz(rads=-12.724144773112773 * np.pi).on(q[15]),
cirq.rz(rads=12.73446915351482 * np.pi).on(q[22]),
cirq.rz(rads=11.027652291347495 * np.pi).on(q[16]),
cirq.rz(rads=-10.570577602838458 * np.pi).on(q[23]),
cirq.rz(rads=17.082146626922658 * np.pi).on(q[25]),
cirq.rz(rads=-17.06476602620025 * np.pi).on(q[29]),
cirq.rz(rads=14.58087327851535 * np.pi).on(q[26]),
cirq.rz(rads=-14.563378195920992 * np.pi).on(q[30]),
cirq.rz(rads=10.871739079510629 * np.pi).on(q[27]),
cirq.rz(rads=-11.050778817008649 * np.pi).on(q[31]),
[
cirq.ISWAP(q[3], q[8]) ** -0.9582439102445623,
cirq.CZ(q[3], q[8]) ** -0.16481196420780725,
],
[
cirq.ISWAP(q[4], q[9]) ** -0.9924132629744455,
cirq.CZ(q[4], q[9]) ** -0.17814200700009597,
],
[
cirq.ISWAP(q[5], q[10]) ** -1.0126733526485854,
cirq.CZ(q[5], q[10]) ** -0.18074346084220166,
],
[
cirq.ISWAP(q[6], q[11]) ** -0.9737940569293067,
cirq.CZ(q[6], q[11]) ** -0.17117494551642629,
],
[
cirq.ISWAP(q[12], q[19]) ** -0.9744121515000286,
cirq.CZ(q[12], q[19]) ** -0.16733875650098531,
],
[
cirq.ISWAP(q[13], q[20]) ** -1.0121115249769066,
cirq.CZ(q[13], q[20]) ** -0.16059979031178617,
],
[
cirq.ISWAP(q[14], q[21]) ** -0.985003985982119,
cirq.CZ(q[14], q[21]) ** -0.16606010863938203,
],
[
cirq.ISWAP(q[15], q[22]) ** -0.9628319095031052,
cirq.CZ(q[15], q[22]) ** -0.16339300450568622,
],
[
cirq.ISWAP(q[16], q[23]) ** -0.9999941453695372,
cirq.CZ(q[16], q[23]) ** -0.16477879415124544,
],
[
cirq.ISWAP(q[25], q[29]) ** -1.0162656461553201,
cirq.CZ(q[25], q[29]) ** -0.1624755502163923,
],
[
cirq.ISWAP(q[26], q[30]) ** -0.9778318391639494,
cirq.CZ(q[26], q[30]) ** -0.17777349355837574,
],
[
cirq.ISWAP(q[27], q[31]) ** -0.881941750344955,
cirq.CZ(q[27], q[31]) ** -0.18326258546194193,
],
cirq.rz(rads=17.259444062298133 * np.pi).on(q[3]),
cirq.rz(rads=-17.229351289596174 * np.pi).on(q[8]),
cirq.rz(rads=16.126615138480055 * np.pi).on(q[4]),
cirq.rz(rads=-16.131076812645777 * np.pi).on(q[9]),
cirq.rz(rads=14.142506057270092 * np.pi).on(q[5]),
cirq.rz(rads=-14.253218247917241 * np.pi).on(q[10]),
cirq.rz(rads=4.924729485113265 * np.pi).on(q[6]),
cirq.rz(rads=-4.9700174868367535 * np.pi).on(q[11]),
cirq.rz(rads=12.581705877923879 * np.pi).on(q[12]),
cirq.rz(rads=-12.594416953698515 * np.pi).on(q[19]),
cirq.rz(rads=7.826508725663096 * np.pi).on(q[13]),
cirq.rz(rads=-7.7661951210003215 * np.pi).on(q[20]),
cirq.rz(rads=12.014531408750791 * np.pi).on(q[14]),
cirq.rz(rads=-11.988030380246926 * np.pi).on(q[21]),
cirq.rz(rads=11.590471496440383 * np.pi).on(q[15]),
cirq.rz(rads=-11.580147116038336 * np.pi).on(q[22]),
cirq.rz(rads=-11.55701654221442 * np.pi).on(q[16]),
cirq.rz(rads=12.014091230723457 * np.pi).on(q[23]),
cirq.rz(rads=-15.693287261948884 * np.pi).on(q[25]),
cirq.rz(rads=15.710667862671292 * np.pi).on(q[29]),
cirq.rz(rads=-14.640627714067872 * np.pi).on(q[26]),
cirq.rz(rads=14.658122796662232 * np.pi).on(q[30]),
cirq.rz(rads=-10.271185992592658 * np.pi).on(q[27]),
cirq.rz(rads=10.092146255094638 * np.pi).on(q[31]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
cirq.Y(q[1]) ** 0.5,
cirq.Y(q[2]) ** 0.5,
[cirq.X(q[3]) ** 0.5, cirq.H(q[3]) ** 0.5, cirq.X(q[3]) ** -0.5],
cirq.Y(q[4]) ** 0.5,
cirq.Y(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.X(q[8]) ** 0.5,
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
cirq.X(q[10]) ** 0.5,
cirq.Y(q[11]) ** 0.5,
cirq.X(q[12]) ** 0.5,
cirq.X(q[13]) ** 0.5,
cirq.Y(q[14]) ** 0.5,
cirq.X(q[15]) ** 0.5,
cirq.Y(q[16]) ** 0.5,
cirq.X(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
cirq.X(q[21]) ** 0.5,
cirq.X(q[22]) ** 0.5,
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
cirq.X(q[24]) ** 0.5,
[cirq.X(q[25]) ** 0.5, cirq.H(q[25]) ** 0.5, cirq.X(q[25]) ** -0.5],
cirq.Y(q[26]) ** 0.5,
cirq.X(q[27]) ** 0.5,
cirq.X(q[28]) ** 0.5,
cirq.X(q[29]) ** 0.5,
cirq.Y(q[30]) ** 0.5,
cirq.Y(q[31]) ** 0.5,
cirq.rz(rads=-4.706584587366488 * np.pi).on(q[0]),
cirq.rz(rads=4.709081406888329 * np.pi).on(q[4]),
cirq.rz(rads=-4.644078115073251 * np.pi).on(q[1]),
cirq.rz(rads=4.639398026235451 * np.pi).on(q[5]),
cirq.rz(rads=4.902125678549236 * np.pi).on(q[2]),
cirq.rz(rads=-4.908456163642546 * np.pi).on(q[6]),
cirq.rz(rads=26.023597923836856 * np.pi).on(q[7]),
cirq.rz(rads=-26.106962907913907 * np.pi).on(q[13]),
cirq.rz(rads=25.356253063938887 * np.pi).on(q[8]),
cirq.rz(rads=-25.2805848307585 * np.pi).on(q[14]),
cirq.rz(rads=8.370562501914259 * np.pi).on(q[9]),
cirq.rz(rads=-8.461596611893802 * np.pi).on(q[15]),
cirq.rz(rads=10.100639843256841 * np.pi).on(q[10]),
cirq.rz(rads=-10.099314675186001 * np.pi).on(q[16]),
cirq.rz(rads=18.263937308298605 * np.pi).on(q[11]),
cirq.rz(rads=-18.247908941862203 * np.pi).on(q[17]),
cirq.rz(rads=4.303481743922509 * np.pi).on(q[18]),
cirq.rz(rads=-4.595908389782827 * np.pi).on(q[24]),
cirq.rz(rads=20.40623181672889 * np.pi).on(q[19]),
cirq.rz(rads=-20.409639326033993 * np.pi).on(q[25]),
cirq.rz(rads=13.138499004273484 * np.pi).on(q[20]),
cirq.rz(rads=-13.02570710190338 * np.pi).on(q[26]),
cirq.rz(rads=19.994449091768548 * np.pi).on(q[21]),
cirq.rz(rads=-20.069061909163636 * np.pi).on(q[27]),
cirq.rz(rads=13.831104618355031 * np.pi).on(q[22]),
cirq.rz(rads=-13.786606163793484 * np.pi).on(q[28]),
[
cirq.ISWAP(q[0], q[4]) ** -0.9984812470539374,
cirq.CZ(q[0], q[4]) ** -0.17233320530255947,
],
[
cirq.ISWAP(q[1], q[5]) ** -1.0282887997603027,
cirq.CZ(q[1], q[5]) ** -0.16427011854127802,
],
[
cirq.ISWAP(q[2], q[6]) ** -0.9575293160506735,
cirq.CZ(q[2], q[6]) ** -0.21522732166595954,
],
[
cirq.ISWAP(q[7], q[13]) ** -0.933831313649303,
cirq.CZ(q[7], q[13]) ** -0.1583933739924931,
],
[
cirq.ISWAP(q[8], q[14]) ** -0.9390847780661252,
cirq.CZ(q[8], q[14]) ** -0.17144555428591543,
],
[
cirq.ISWAP(q[9], q[15]) ** -1.0209160715892363,
cirq.CZ(q[9], q[15]) ** -0.14849009270439747,
],
[
cirq.ISWAP(q[10], q[16]) ** -1.0287988330229174,
cirq.CZ(q[10], q[16]) ** -0.1385888562342036,
],
[
cirq.ISWAP(q[11], q[17]) ** -1.0128317439690167,
cirq.CZ(q[11], q[17]) ** -0.1669440143200578,
],
[
cirq.ISWAP(q[18], q[24]) ** -0.8044060664115181,
cirq.CZ(q[18], q[24]) ** -0.10552370353526683,
],
[
cirq.ISWAP(q[19], q[25]) ** -0.9705721508169989,
cirq.CZ(q[19], q[25]) ** -0.15402718033611607,
],
[
cirq.ISWAP(q[20], q[26]) ** -0.989459174023089,
cirq.CZ(q[20], q[26]) ** -0.16509252502035418,
],
[
cirq.ISWAP(q[21], q[27]) ** -0.9618960066063004,
cirq.CZ(q[21], q[27]) ** -0.15722561327755682,
],
[
cirq.ISWAP(q[22], q[28]) ** -1.0052002427791902,
cirq.CZ(q[22], q[28]) ** -0.16175415193774326,
],
cirq.rz(rads=4.777874433792896 * np.pi).on(q[0]),
cirq.rz(rads=-4.775377614271054 * np.pi).on(q[4]),
cirq.rz(rads=4.198995232832642 * np.pi).on(q[1]),
cirq.rz(rads=-4.203675321670441 * np.pi).on(q[5]),
cirq.rz(rads=-5.321807436079611 * np.pi).on(q[2]),
cirq.rz(rads=5.315476950986302 * np.pi).on(q[6]),
cirq.rz(rads=-25.79725021952863 * np.pi).on(q[7]),
cirq.rz(rads=25.713885235451578 * np.pi).on(q[13]),
cirq.rz(rads=-24.48288974563276 * np.pi).on(q[8]),
cirq.rz(rads=24.55855797881315 * np.pi).on(q[14]),
cirq.rz(rads=-10.07786364079744 * np.pi).on(q[9]),
cirq.rz(rads=9.986829530817898 * np.pi).on(q[15]),
cirq.rz(rads=-11.191871460773655 * np.pi).on(q[10]),
cirq.rz(rads=11.193196628844492 * np.pi).on(q[16]),
cirq.rz(rads=-18.61869305225248 * np.pi).on(q[11]),
cirq.rz(rads=18.63472141868888 * np.pi).on(q[17]),
cirq.rz(rads=-5.067815524796681 * np.pi).on(q[18]),
cirq.rz(rads=4.775388878936363 * np.pi).on(q[24]),
cirq.rz(rads=-20.83856101076621 * np.pi).on(q[19]),
cirq.rz(rads=20.835153501461107 * np.pi).on(q[25]),
cirq.rz(rads=-12.242421382024746 * np.pi).on(q[20]),
cirq.rz(rads=12.35521328439485 * np.pi).on(q[26]),
cirq.rz(rads=-19.32248305368911 * np.pi).on(q[21]),
cirq.rz(rads=19.24787023629402 * np.pi).on(q[27]),
cirq.rz(rads=-13.967003503847575 * np.pi).on(q[22]),
cirq.rz(rads=14.01150195840912 * np.pi).on(q[28]),
cirq.Y(q[0]) ** 0.5,
[cirq.X(q[1]) ** 0.5, cirq.H(q[1]) ** 0.5, cirq.X(q[1]) ** -0.5],
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
cirq.X(q[3]) ** 0.5,
cirq.X(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
cirq.X(q[6]) ** 0.5,
cirq.X(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
cirq.X(q[9]) ** 0.5,
[cirq.X(q[10]) ** 0.5, cirq.H(q[10]) ** 0.5, cirq.X(q[10]) ** -0.5],
cirq.X(q[11]) ** 0.5,
cirq.Y(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.X(q[14]) ** 0.5,
cirq.Y(q[15]) ** 0.5,
cirq.X(q[16]) ** 0.5,
[cirq.X(q[17]) ** 0.5, cirq.H(q[17]) ** 0.5, cirq.X(q[17]) ** -0.5],
[cirq.X(q[18]) ** 0.5, cirq.H(q[18]) ** 0.5, cirq.X(q[18]) ** -0.5],
cirq.X(q[19]) ** 0.5,
cirq.Y(q[20]) ** 0.5,
[cirq.X(q[21]) ** 0.5, cirq.H(q[21]) ** 0.5, cirq.X(q[21]) ** -0.5],
[cirq.X(q[22]) ** 0.5, cirq.H(q[22]) ** 0.5, cirq.X(q[22]) ** -0.5],
cirq.Y(q[23]) ** 0.5,
cirq.Y(q[24]) ** 0.5,
cirq.X(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
cirq.Y(q[27]) ** 0.5,
cirq.Y(q[28]) ** 0.5,
cirq.Y(q[29]) ** 0.5,
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-23.983870303178655 * np.pi).on(q[1]),
cirq.rz(rads=23.947691840749943 * np.pi).on(q[2]),
cirq.rz(rads=9.52513916974456 * np.pi).on(q[3]),
cirq.rz(rads=-9.570527436528984 * np.pi).on(q[4]),
cirq.rz(rads=-13.084997501357485 * np.pi).on(q[5]),
cirq.rz(rads=12.644483778485537 * np.pi).on(q[6]),
cirq.rz(rads=10.044737337703173 * np.pi).on(q[8]),
cirq.rz(rads=-9.952929415695523 * np.pi).on(q[9]),
cirq.rz(rads=-1.4576740888019104 * np.pi).on(q[10]),
cirq.rz(rads=1.4499714261238263 * np.pi).on(q[11]),
cirq.rz(rads=-8.542750980814159 * np.pi).on(q[12]),
cirq.rz(rads=8.512493259768608 * np.pi).on(q[13]),
cirq.rz(rads=-8.401251133882973 * np.pi).on(q[14]),
cirq.rz(rads=8.52245467467511 * np.pi).on(q[15]),
cirq.rz(rads=7.236894386212986 * np.pi).on(q[16]),
cirq.rz(rads=-7.223381665113074 * np.pi).on(q[17]),
cirq.rz(rads=-2.0014238777188416 * np.pi).on(q[19]),
cirq.rz(rads=2.057465958360948 * np.pi).on(q[20]),
cirq.rz(rads=-6.843134633961698 * np.pi).on(q[21]),
cirq.rz(rads=6.916407045184491 * np.pi).on(q[22]),
cirq.rz(rads=-10.176126243969842 * np.pi).on(q[25]),
cirq.rz(rads=10.134682918719976 * np.pi).on(q[26]),
cirq.rz(rads=-12.347924259148533 * np.pi).on(q[27]),
cirq.rz(rads=12.372739915233888 * np.pi).on(q[28]),
cirq.rz(rads=-13.554795435376587 * np.pi).on(q[29]),
cirq.rz(rads=13.646281937389634 * np.pi).on(q[30]),
[
cirq.ISWAP(q[1], q[2]) ** -0.9570391651387101,
cirq.CZ(q[1], q[2]) ** -0.17511624695473224,
],
[
cirq.ISWAP(q[3], q[4]) ** -1.0141403689884423,
cirq.CZ(q[3], q[4]) ** -0.17046670168281958,
],
[
cirq.ISWAP(q[5], q[6]) ** -1.013386784909492,
cirq.CZ(q[5], q[6]) ** 1.8378144783929071,
],
[
cirq.ISWAP(q[8], q[9]) ** -1.009868884178167,
cirq.CZ(q[8], q[9]) ** -0.16552586798219657,
],
[
cirq.ISWAP(q[10], q[11]) ** -0.973165668451805,
cirq.CZ(q[10], q[11]) ** -0.1627822085708043,
],
[
cirq.ISWAP(q[12], q[13]) ** -0.9967062367293744,
cirq.CZ(q[12], q[13]) ** -0.16320564272090876,
],
[
cirq.ISWAP(q[14], q[15]) ** -0.9733750299685556,
cirq.CZ(q[14], q[15]) ** -0.16091330726740966,
],
[
cirq.ISWAP(q[16], q[17]) ** -0.9794265878513263,
cirq.CZ(q[16], q[17]) ** -0.16849356010919606,
],
[
cirq.ISWAP(q[19], q[20]) ** -0.9375857698276336,
cirq.CZ(q[19], q[20]) ** -0.144908770657389,
],
[
cirq.ISWAP(q[21], q[22]) ** -0.9769678680475263,
cirq.CZ(q[21], q[22]) ** -0.16332605888196952,
],
[
cirq.ISWAP(q[25], q[26]) ** -0.9656924944561719,
cirq.CZ(q[25], q[26]) ** -0.1474408404408433,
],
[
cirq.ISWAP(q[27], q[28]) ** -0.9998377482375511,
cirq.CZ(q[27], q[28]) ** -0.15252451837046574,
],
[
cirq.ISWAP(q[29], q[30]) ** -0.9878279109459591,
cirq.CZ(q[29], q[30]) ** -0.1609201967232209,
],
cirq.rz(rads=23.28431055044745 * np.pi).on(q[1]),
cirq.rz(rads=-23.320489012876163 * np.pi).on(q[2]),
cirq.rz(rads=-9.054070555108892 * np.pi).on(q[3]),
cirq.rz(rads=9.008682288324469 * np.pi).on(q[4]),
cirq.rz(rads=13.750356038389338 * np.pi).on(q[5]),
cirq.rz(rads=-14.190869761261286 * np.pi).on(q[6]),
cirq.rz(rads=-10.440214577494247 * np.pi).on(q[8]),
cirq.rz(rads=10.5320224995019 * np.pi).on(q[9]),
cirq.rz(rads=2.0599079899133517 * np.pi).on(q[10]),
cirq.rz(rads=-2.067610652591436 * np.pi).on(q[11]),
cirq.rz(rads=8.780337110122234 * np.pi).on(q[12]),
cirq.rz(rads=-8.810594831167785 * np.pi).on(q[13]),
cirq.rz(rads=8.199075778124648 * np.pi).on(q[14]),
cirq.rz(rads=-8.07787223733251 * np.pi).on(q[15]),
cirq.rz(rads=-9.025823706766039 * np.pi).on(q[16]),
cirq.rz(rads=9.039336427865951 * np.pi).on(q[17]),
cirq.rz(rads=2.570829500938612 * np.pi).on(q[19]),
cirq.rz(rads=-2.5147874202965053 * np.pi).on(q[20]),
cirq.rz(rads=6.561341949396702 * np.pi).on(q[21]),
cirq.rz(rads=-6.48806953817391 * np.pi).on(q[22]),
cirq.rz(rads=10.239062711844038 * np.pi).on(q[25]),
cirq.rz(rads=-10.280506037093904 * np.pi).on(q[26]),
cirq.rz(rads=14.161779067835406 * np.pi).on(q[27]),
cirq.rz(rads=-14.136963411750049 * np.pi).on(q[28]),
cirq.rz(rads=13.413311792027148 * np.pi).on(q[29]),
cirq.rz(rads=-13.3218252900141 * np.pi).on(q[30]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
cirq.X(q[1]) ** 0.5,
cirq.X(q[2]) ** 0.5,
cirq.Y(q[3]) ** 0.5,
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
cirq.Y(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.Y(q[8]) ** 0.5,
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
cirq.Y(q[10]) ** 0.5,
[cirq.X(q[11]) ** 0.5, cirq.H(q[11]) ** 0.5, cirq.X(q[11]) ** -0.5],
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.X(q[13]) ** 0.5,
[cirq.X(q[14]) ** 0.5, cirq.H(q[14]) ** 0.5, cirq.X(q[14]) ** -0.5],
[cirq.X(q[15]) ** 0.5, cirq.H(q[15]) ** 0.5, cirq.X(q[15]) ** -0.5],
cirq.Y(q[16]) ** 0.5,
cirq.X(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
cirq.X(q[21]) ** 0.5,
cirq.X(q[22]) ** 0.5,
cirq.X(q[23]) ** 0.5,
cirq.X(q[24]) ** 0.5,
cirq.Y(q[25]) ** 0.5,
cirq.X(q[26]) ** 0.5,
[cirq.X(q[27]) ** 0.5, cirq.H(q[27]) ** 0.5, cirq.X(q[27]) ** -0.5],
cirq.X(q[28]) ** 0.5,
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
cirq.Y(q[30]) ** 0.5,
cirq.Y(q[31]) ** 0.5,
cirq.rz(rads=-30.29986888404229 * np.pi).on(q[0]),
cirq.rz(rads=30.302497289344824 * np.pi).on(q[1]),
cirq.rz(rads=-30.054485552499738 * np.pi).on(q[4]),
cirq.rz(rads=30.034988862096366 * np.pi).on(q[5]),
cirq.rz(rads=12.597359127188014 * np.pi).on(q[7]),
cirq.rz(rads=-12.538809626368511 * np.pi).on(q[8]),
cirq.rz(rads=-26.08870806725985 * np.pi).on(q[9]),
cirq.rz(rads=26.13388826789855 * np.pi).on(q[10]),
cirq.rz(rads=11.90395452297206 * np.pi).on(q[13]),
cirq.rz(rads=-11.950266520580142 * np.pi).on(q[14]),
cirq.rz(rads=-23.906047663366408 * np.pi).on(q[15]),
cirq.rz(rads=23.945335880513902 * np.pi).on(q[16]),
cirq.rz(rads=-12.64994198965531 * np.pi).on(q[18]),
cirq.rz(rads=12.670825603456805 * np.pi).on(q[19]),
cirq.rz(rads=5.221137480344522 * np.pi).on(q[20]),
cirq.rz(rads=-5.118027941327464 * np.pi).on(q[21]),
cirq.rz(rads=9.263573798570924 * np.pi).on(q[22]),
cirq.rz(rads=-9.55041239213535 * np.pi).on(q[23]),
cirq.rz(rads=8.765227495500554 * np.pi).on(q[24]),
cirq.rz(rads=-9.048084333301423 * np.pi).on(q[25]),
cirq.rz(rads=13.422682742974219 * np.pi).on(q[26]),
cirq.rz(rads=-13.34768684100077 * np.pi).on(q[27]),
cirq.rz(rads=7.346307418341885 * np.pi).on(q[30]),
cirq.rz(rads=-7.447034178043343 * np.pi).on(q[31]),
[
cirq.ISWAP(q[0], q[1]) ** -0.969777854908417,
cirq.CZ(q[0], q[1]) ** -0.21266743136622576,
],
[
cirq.ISWAP(q[4], q[5]) ** -0.9959624181216683,
cirq.CZ(q[4], q[5]) ** -0.17314460131772672,
],
[
cirq.ISWAP(q[7], q[8]) ** -0.8242343706275942,
cirq.CZ(q[7], q[8]) ** -0.15468164635790926,
],
[
cirq.ISWAP(q[9], q[10]) ** -0.981653050634976,
cirq.CZ(q[9], q[10]) ** -0.1933349989832593,
],
[
cirq.ISWAP(q[13], q[14]) ** -0.9637565510028211,
cirq.CZ(q[13], q[14]) ** -0.15186761578643612,
],
[
cirq.ISWAP(q[15], q[16]) ** -1.0089894642925605,
cirq.CZ(q[15], q[16]) ** -0.17298943435986638,
],
[
cirq.ISWAP(q[18], q[19]) ** -0.9446726997534635,
cirq.CZ(q[18], q[19]) ** -0.16140479146278733,
],
[
cirq.ISWAP(q[20], q[21]) ** -0.980271915828302,
cirq.CZ(q[20], q[21]) ** -0.16470994863165317,
],
[
cirq.ISWAP(q[22], q[23]) ** -0.9290392306402181,
cirq.CZ(q[22], q[23]) ** -0.1664963204791881,
],
[
cirq.ISWAP(q[24], q[25]) ** -0.9486971380890047,
cirq.CZ(q[24], q[25]) ** -0.1448964931003518,
],
[
cirq.ISWAP(q[26], q[27]) ** -0.9789198374818319,
cirq.CZ(q[26], q[27]) ** -0.14726825222820017,
],
[
cirq.ISWAP(q[30], q[31]) ** -0.9389507566733047,
cirq.CZ(q[30], q[31]) ** -0.1385796856074536,
],
cirq.rz(rads=30.657856052586013 * np.pi).on(q[0]),
cirq.rz(rads=-30.65522764728348 * np.pi).on(q[1]),
cirq.rz(rads=30.087139057028068 * np.pi).on(q[4]),
cirq.rz(rads=-30.106635747431437 * np.pi).on(q[5]),
cirq.rz(rads=-12.410072351850753 * np.pi).on(q[7]),
cirq.rz(rads=12.468621852670255 * np.pi).on(q[8]),
cirq.rz(rads=26.656199817881895 * np.pi).on(q[9]),
cirq.rz(rads=-26.611019617243198 * np.pi).on(q[10]),
cirq.rz(rads=-12.422336273583753 * np.pi).on(q[13]),
cirq.rz(rads=12.376024275975672 * np.pi).on(q[14]),
cirq.rz(rads=24.032508849527318 * np.pi).on(q[15]),
cirq.rz(rads=-23.993220632379824 * np.pi).on(q[16]),
cirq.rz(rads=11.745064422304269 * np.pi).on(q[18]),
cirq.rz(rads=-11.724180808502775 * np.pi).on(q[19]),
cirq.rz(rads=-5.991658529535789 * np.pi).on(q[20]),
cirq.rz(rads=6.094768068552847 * np.pi).on(q[21]),
cirq.rz(rads=-9.293307215154037 * np.pi).on(q[22]),
cirq.rz(rads=9.006468621589612 * np.pi).on(q[23]),
cirq.rz(rads=-7.056913502275617 * np.pi).on(q[24]),
cirq.rz(rads=6.774056664474749 * np.pi).on(q[25]),
cirq.rz(rads=-13.45823318122632 * np.pi).on(q[26]),
cirq.rz(rads=13.53322908319977 * np.pi).on(q[27]),
cirq.rz(rads=-7.785583222537938 * np.pi).on(q[30]),
cirq.rz(rads=7.68485646283648 * np.pi).on(q[31]),
cirq.X(q[0]) ** 0.5,
cirq.Y(q[1]) ** 0.5,
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
[cirq.X(q[3]) ** 0.5, cirq.H(q[3]) ** 0.5, cirq.X(q[3]) ** -0.5],
cirq.X(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
cirq.X(q[6]) ** 0.5,
cirq.X(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
cirq.X(q[9]) ** 0.5,
[cirq.X(q[10]) ** 0.5, cirq.H(q[10]) ** 0.5, cirq.X(q[10]) ** -0.5],
cirq.X(q[11]) ** 0.5,
cirq.Y(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
cirq.X(q[15]) ** 0.5,
[cirq.X(q[16]) ** 0.5, cirq.H(q[16]) ** 0.5, cirq.X(q[16]) ** -0.5],
cirq.Y(q[17]) ** 0.5,
cirq.X(q[18]) ** 0.5,
cirq.X(q[19]) ** 0.5,
cirq.Y(q[20]) ** 0.5,
cirq.Y(q[21]) ** 0.5,
[cirq.X(q[22]) ** 0.5, cirq.H(q[22]) ** 0.5, cirq.X(q[22]) ** -0.5],
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
[cirq.X(q[24]) ** 0.5, cirq.H(q[24]) ** 0.5, cirq.X(q[24]) ** -0.5],
cirq.X(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
cirq.Y(q[27]) ** 0.5,
cirq.Y(q[28]) ** 0.5,
cirq.X(q[29]) ** 0.5,
cirq.X(q[30]) ** 0.5,
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-26.934223110661993 * np.pi).on(q[3]),
cirq.rz(rads=26.964315883363945 * np.pi).on(q[8]),
cirq.rz(rads=-25.436295096608994 * np.pi).on(q[4]),
cirq.rz(rads=25.43183342244327 * np.pi).on(q[9]),
cirq.rz(rads=-21.351868774756507 * np.pi).on(q[5]),
cirq.rz(rads=21.24115658410936 * np.pi).on(q[10]),
cirq.rz(rads=-6.643807240413623 * np.pi).on(q[6]),
cirq.rz(rads=6.598519238690134 * np.pi).on(q[11]),
cirq.rz(rads=-21.096932498710586 * np.pi).on(q[12]),
cirq.rz(rads=21.084221422935954 * np.pi).on(q[19]),
cirq.rz(rads=-13.046692838556257 * np.pi).on(q[13]),
cirq.rz(rads=13.107006443219033 * np.pi).on(q[20]),
cirq.rz(rads=-20.486755870544844 * np.pi).on(q[14]),
cirq.rz(rads=20.51325689904871 * np.pi).on(q[21]),
cirq.rz(rads=-19.82814477311278 * np.pi).on(q[15]),
cirq.rz(rads=19.838469153514826 * np.pi).on(q[22]),
cirq.rz(rads=17.687652291347487 * np.pi).on(q[16]),
cirq.rz(rads=-17.230577602838448 * np.pi).on(q[23]),
cirq.rz(rads=27.146146626922736 * np.pi).on(q[25]),
cirq.rz(rads=-27.128766026200324 * np.pi).on(q[29]),
cirq.rz(rads=23.46087327851529 * np.pi).on(q[26]),
cirq.rz(rads=-23.443378195920936 * np.pi).on(q[30]),
cirq.rz(rads=17.157142369360066 * np.pi).on(q[27]),
cirq.rz(rads=-17.33618210685809 * np.pi).on(q[31]),
[
cirq.ISWAP(q[3], q[8]) ** -0.9582439102445623,
cirq.CZ(q[3], q[8]) ** -0.16481196420780725,
],
[
cirq.ISWAP(q[4], q[9]) ** -0.9924132629744455,
cirq.CZ(q[4], q[9]) ** -0.17814200700009597,
],
[
cirq.ISWAP(q[5], q[10]) ** -1.0126733526485854,
cirq.CZ(q[5], q[10]) ** -0.18074346084220166,
],
[
cirq.ISWAP(q[6], q[11]) ** -0.9737940569293067,
cirq.CZ(q[6], q[11]) ** -0.17117494551642629,
],
[
cirq.ISWAP(q[12], q[19]) ** -0.9744121515000286,
cirq.CZ(q[12], q[19]) ** -0.16733875650098531,
],
[
cirq.ISWAP(q[13], q[20]) ** -1.0121115249769066,
cirq.CZ(q[13], q[20]) ** -0.16059979031178617,
],
[
cirq.ISWAP(q[14], q[21]) ** -0.985003985982119,
cirq.CZ(q[14], q[21]) ** -0.16606010863938203,
],
[
cirq.ISWAP(q[15], q[22]) ** -0.9628319095031052,
cirq.CZ(q[15], q[22]) ** -0.16339300450568622,
],
[
cirq.ISWAP(q[16], q[23]) ** -0.9999941453695372,
cirq.CZ(q[16], q[23]) ** -0.16477879415124544,
],
[
cirq.ISWAP(q[25], q[29]) ** -1.0162656461553201,
cirq.CZ(q[25], q[29]) ** -0.1624755502163923,
],
[
cirq.ISWAP(q[26], q[30]) ** -0.9778318391639494,
cirq.CZ(q[26], q[30]) ** -0.17777349355837574,
],
[
cirq.ISWAP(q[27], q[31]) ** -0.881941750344955,
cirq.CZ(q[27], q[31]) ** -0.18326258546194193,
],
cirq.rz(rads=27.61944406229804 * np.pi).on(q[3]),
cirq.rz(rads=-27.589351289596088 * np.pi).on(q[8]),
cirq.rz(rads=25.746615138480117 * np.pi).on(q[4]),
cirq.rz(rads=-25.75107681264584 * np.pi).on(q[9]),
cirq.rz(rads=22.13450605727 * np.pi).on(q[5]),
cirq.rz(rads=-22.245218247917148 * np.pi).on(q[10]),
cirq.rz(rads=7.440729485113184 * np.pi).on(q[6]),
cirq.rz(rads=-7.486017486836674 * np.pi).on(q[11]),
cirq.rz(rads=20.425705877923868 * np.pi).on(q[12]),
cirq.rz(rads=-20.4384169536985 * np.pi).on(q[19]),
cirq.rz(rads=12.71050872566315 * np.pi).on(q[13]),
cirq.rz(rads=-12.650195121000372 * np.pi).on(q[20]),
cirq.rz(rads=19.562531408750814 * np.pi).on(q[14]),
cirq.rz(rads=-19.53603038024695 * np.pi).on(q[21]),
cirq.rz(rads=18.69447149644039 * np.pi).on(q[15]),
cirq.rz(rads=-18.684147116038343 * np.pi).on(q[22]),
cirq.rz(rads=-18.21701654221441 * np.pi).on(q[16]),
cirq.rz(rads=18.674091230723448 * np.pi).on(q[23]),
cirq.rz(rads=-25.757287261948953 * np.pi).on(q[25]),
cirq.rz(rads=25.774667862671368 * np.pi).on(q[29]),
cirq.rz(rads=-23.52062771406781 * np.pi).on(q[26]),
cirq.rz(rads=23.538122796662165 * np.pi).on(q[30]),
cirq.rz(rads=-16.556589282442097 * np.pi).on(q[27]),
cirq.rz(rads=16.377549544944078 * np.pi).on(q[31]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
cirq.X(q[1]) ** 0.5,
cirq.X(q[2]) ** 0.5,
cirq.X(q[3]) ** 0.5,
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
[cirq.X(q[5]) ** 0.5, cirq.H(q[5]) ** 0.5, cirq.X(q[5]) ** -0.5],
cirq.Y(q[6]) ** 0.5,
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.X(q[8]) ** 0.5,
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
cirq.X(q[10]) ** 0.5,
[cirq.X(q[11]) ** 0.5, cirq.H(q[11]) ** 0.5, cirq.X(q[11]) ** -0.5],
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.Y(q[13]) ** 0.5,
cirq.X(q[14]) ** 0.5,
[cirq.X(q[15]) ** 0.5, cirq.H(q[15]) ** 0.5, cirq.X(q[15]) ** -0.5],
cirq.X(q[16]) ** 0.5,
cirq.X(q[17]) ** 0.5,
[cirq.X(q[18]) ** 0.5, cirq.H(q[18]) ** 0.5, cirq.X(q[18]) ** -0.5],
[cirq.X(q[19]) ** 0.5, cirq.H(q[19]) ** 0.5, cirq.X(q[19]) ** -0.5],
[cirq.X(q[20]) ** 0.5, cirq.H(q[20]) ** 0.5, cirq.X(q[20]) ** -0.5],
cirq.X(q[21]) ** 0.5,
cirq.X(q[22]) ** 0.5,
cirq.X(q[23]) ** 0.5,
cirq.X(q[24]) ** 0.5,
[cirq.X(q[25]) ** 0.5, cirq.H(q[25]) ** 0.5, cirq.X(q[25]) ** -0.5],
cirq.Y(q[26]) ** 0.5,
cirq.X(q[27]) ** 0.5,
cirq.X(q[28]) ** 0.5,
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
[cirq.X(q[31]) ** 0.5, cirq.H(q[31]) ** 0.5, cirq.X(q[31]) ** -0.5],
cirq.rz(rads=-6.926584587366442 * np.pi).on(q[0]),
cirq.rz(rads=6.929081406888282 * np.pi).on(q[4]),
cirq.rz(rads=-6.864078115073335 * np.pi).on(q[1]),
cirq.rz(rads=6.859398026235534 * np.pi).on(q[5]),
cirq.rz(rads=7.418125678549155 * np.pi).on(q[2]),
cirq.rz(rads=-7.424456163642465 * np.pi).on(q[6]),
cirq.rz(rads=39.34359792383697 * np.pi).on(q[7]),
cirq.rz(rads=-39.42696290791402 * np.pi).on(q[13]),
cirq.rz(rads=38.52825306393881 * np.pi).on(q[8]),
cirq.rz(rads=-38.452584830758425 * np.pi).on(q[14]),
cirq.rz(rads=12.958562501914345 * np.pi).on(q[9]),
cirq.rz(rads=-13.049596611893888 * np.pi).on(q[15]),
cirq.rz(rads=15.428639843256777 * np.pi).on(q[10]),
cirq.rz(rads=-15.42731467518594 * np.pi).on(q[16]),
cirq.rz(rads=28.031937308298577 * np.pi).on(q[11]),
cirq.rz(rads=-28.01590894186218 * np.pi).on(q[17]),
cirq.rz(rads=6.967481743922609 * np.pi).on(q[18]),
cirq.rz(rads=-7.259908389782927 * np.pi).on(q[24]),
cirq.rz(rads=31.210231816728815 * np.pi).on(q[19]),
cirq.rz(rads=-31.213639326033913 * np.pi).on(q[25]),
cirq.rz(rads=19.946499004273523 * np.pi).on(q[20]),
cirq.rz(rads=-19.833707101903418 * np.pi).on(q[26]),
cirq.rz(rads=30.137045801919207 * np.pi).on(q[21]),
cirq.rz(rads=-30.211658619314296 * np.pi).on(q[27]),
cirq.rz(rads=21.231104618355 * np.pi).on(q[22]),
cirq.rz(rads=-21.186606163793456 * np.pi).on(q[28]),
[
cirq.ISWAP(q[0], q[4]) ** -0.9984812470539374,
cirq.CZ(q[0], q[4]) ** -0.17233320530255947,
],
[
cirq.ISWAP(q[1], q[5]) ** -1.0282887997603027,
cirq.CZ(q[1], q[5]) ** -0.16427011854127802,
],
[
cirq.ISWAP(q[2], q[6]) ** -0.9575293160506735,
cirq.CZ(q[2], q[6]) ** -0.21522732166595954,
],
[
cirq.ISWAP(q[7], q[13]) ** -0.933831313649303,
cirq.CZ(q[7], q[13]) ** -0.1583933739924931,
],
[
cirq.ISWAP(q[8], q[14]) ** -0.9390847780661252,
cirq.CZ(q[8], q[14]) ** -0.17144555428591543,
],
[
cirq.ISWAP(q[9], q[15]) ** -1.0209160715892363,
cirq.CZ(q[9], q[15]) ** -0.14849009270439747,
],
[
cirq.ISWAP(q[10], q[16]) ** -1.0287988330229174,
cirq.CZ(q[10], q[16]) ** -0.1385888562342036,
],
[
cirq.ISWAP(q[11], q[17]) ** -1.0128317439690167,
cirq.CZ(q[11], q[17]) ** -0.1669440143200578,
],
[
cirq.ISWAP(q[18], q[24]) ** -0.8044060664115181,
cirq.CZ(q[18], q[24]) ** -0.10552370353526683,
],
[
cirq.ISWAP(q[19], q[25]) ** -0.9705721508169989,
cirq.CZ(q[19], q[25]) ** -0.15402718033611607,
],
[
cirq.ISWAP(q[20], q[26]) ** -0.989459174023089,
cirq.CZ(q[20], q[26]) ** -0.16509252502035418,
],
[
cirq.ISWAP(q[21], q[27]) ** -0.9618960066063004,
cirq.CZ(q[21], q[27]) ** -0.15722561327755682,
],
[
cirq.ISWAP(q[22], q[28]) ** -1.0052002427791902,
cirq.CZ(q[22], q[28]) ** -0.16175415193774326,
],
cirq.rz(rads=6.997874433792849 * np.pi).on(q[0]),
cirq.rz(rads=-6.995377614271008 * np.pi).on(q[4]),
cirq.rz(rads=6.418995232832726 * np.pi).on(q[1]),
cirq.rz(rads=-6.423675321670527 * np.pi).on(q[5]),
cirq.rz(rads=-7.8378074360795305 * np.pi).on(q[2]),
cirq.rz(rads=7.831476950986221 * np.pi).on(q[6]),
cirq.rz(rads=-39.11725021952874 * np.pi).on(q[7]),
cirq.rz(rads=39.03388523545169 * np.pi).on(q[13]),
cirq.rz(rads=-37.65488974563269 * np.pi).on(q[8]),
cirq.rz(rads=37.730557978813074 * np.pi).on(q[14]),
cirq.rz(rads=-14.665863640797525 * np.pi).on(q[9]),
cirq.rz(rads=14.574829530817984 * np.pi).on(q[15]),
cirq.rz(rads=-16.519871460773594 * np.pi).on(q[10]),
cirq.rz(rads=16.52119662884443 * np.pi).on(q[16]),
cirq.rz(rads=-28.386693052252454 * np.pi).on(q[11]),
cirq.rz(rads=28.402721418688852 * np.pi).on(q[17]),
cirq.rz(rads=-7.731815524796781 * np.pi).on(q[18]),
cirq.rz(rads=7.439388878936463 * np.pi).on(q[24]),
cirq.rz(rads=-31.64256101076613 * np.pi).on(q[19]),
cirq.rz(rads=31.63915350146103 * np.pi).on(q[25]),
cirq.rz(rads=-19.050421382024783 * np.pi).on(q[20]),
cirq.rz(rads=19.16321328439489 * np.pi).on(q[26]),
cirq.rz(rads=-29.465079763839764 * np.pi).on(q[21]),
cirq.rz(rads=29.390466946444676 * np.pi).on(q[27]),
cirq.rz(rads=-21.367003503847553 * np.pi).on(q[22]),
cirq.rz(rads=21.411501958409097 * np.pi).on(q[28]),
cirq.Y(q[0]) ** 0.5,
cirq.Y(q[1]) ** 0.5,
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
cirq.Y(q[3]) ** 0.5,
cirq.Y(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
cirq.Y(q[7]) ** 0.5,
cirq.Y(q[8]) ** 0.5,
cirq.Y(q[9]) ** 0.5,
cirq.Y(q[10]) ** 0.5,
cirq.Y(q[11]) ** 0.5,
cirq.Y(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
cirq.X(q[15]) ** 0.5,
cirq.Y(q[16]) ** 0.5,
cirq.Y(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.Y(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
[cirq.X(q[21]) ** 0.5, cirq.H(q[21]) ** 0.5, cirq.X(q[21]) ** -0.5],
cirq.Y(q[22]) ** 0.5,
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
cirq.Y(q[24]) ** 0.5,
cirq.X(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
cirq.Y(q[27]) ** 0.5,
[cirq.X(q[28]) ** 0.5, cirq.H(q[28]) ** 0.5, cirq.X(q[28]) ** -0.5],
cirq.X(q[29]) ** 0.5,
cirq.Y(q[30]) ** 0.5,
cirq.Y(q[31]) ** 0.5,
cirq.rz(rads=-34.93587030317863 * np.pi).on(q[1]),
cirq.rz(rads=34.899691840749924 * np.pi).on(q[2]),
cirq.rz(rads=13.66913916974463 * np.pi).on(q[3]),
cirq.rz(rads=-13.714527436529053 * np.pi).on(q[4]),
cirq.rz(rads=-19.300997501357458 * np.pi).on(q[5]),
cirq.rz(rads=18.86048377848551 * np.pi).on(q[6]),
cirq.rz(rads=14.928737337703097 * np.pi).on(q[8]),
cirq.rz(rads=-14.836929415695444 * np.pi).on(q[9]),
cirq.rz(rads=-2.1976740888018944 * np.pi).on(q[10]),
cirq.rz(rads=2.1899714261238103 * np.pi).on(q[11]),
cirq.rz(rads=-12.39075098081413 * np.pi).on(q[12]),
cirq.rz(rads=12.360493259768578 * np.pi).on(q[13]),
cirq.rz(rads=-12.10125113388289 * np.pi).on(q[14]),
cirq.rz(rads=12.22245467467503 * np.pi).on(q[15]),
cirq.rz(rads=10.936894386213037 * np.pi).on(q[16]),
cirq.rz(rads=-10.923381665113125 * np.pi).on(q[17]),
cirq.rz(rads=-2.8894238777188748 * np.pi).on(q[19]),
cirq.rz(rads=2.945465958360982 * np.pi).on(q[20]),
cirq.rz(rads=-10.099134633961603 * np.pi).on(q[21]),
cirq.rz(rads=10.172407045184396 * np.pi).on(q[22]),
cirq.rz(rads=-15.060126243969762 * np.pi).on(q[25]),
cirq.rz(rads=15.018682918719897 * np.pi).on(q[26]),
cirq.rz(rads=-18.34652096929912 * np.pi).on(q[27]),
cirq.rz(rads=18.371336625384476 * np.pi).on(q[28]),
cirq.rz(rads=-19.622795435376638 * np.pi).on(q[29]),
cirq.rz(rads=19.714281937389686 * np.pi).on(q[30]),
[
cirq.ISWAP(q[1], q[2]) ** -0.9570391651387101,
cirq.CZ(q[1], q[2]) ** -0.17511624695473224,
],
[
cirq.ISWAP(q[3], q[4]) ** -1.0141403689884423,
cirq.CZ(q[3], q[4]) ** -0.17046670168281958,
],
[
cirq.ISWAP(q[5], q[6]) ** -1.013386784909492,
cirq.CZ(q[5], q[6]) ** 1.8378144783929071,
],
[
cirq.ISWAP(q[8], q[9]) ** -1.009868884178167,
cirq.CZ(q[8], q[9]) ** -0.16552586798219657,
],
[
cirq.ISWAP(q[10], q[11]) ** -0.973165668451805,
cirq.CZ(q[10], q[11]) ** -0.1627822085708043,
],
[
cirq.ISWAP(q[12], q[13]) ** -0.9967062367293744,
cirq.CZ(q[12], q[13]) ** -0.16320564272090876,
],
[
cirq.ISWAP(q[14], q[15]) ** -0.9733750299685556,
cirq.CZ(q[14], q[15]) ** -0.16091330726740966,
],
[
cirq.ISWAP(q[16], q[17]) ** -0.9794265878513263,
cirq.CZ(q[16], q[17]) ** -0.16849356010919606,
],
[
cirq.ISWAP(q[19], q[20]) ** -0.9375857698276336,
cirq.CZ(q[19], q[20]) ** -0.144908770657389,
],
[
cirq.ISWAP(q[21], q[22]) ** -0.9769678680475263,
cirq.CZ(q[21], q[22]) ** -0.16332605888196952,
],
[
cirq.ISWAP(q[25], q[26]) ** -0.9656924944561719,
cirq.CZ(q[25], q[26]) ** -0.1474408404408433,
],
[
cirq.ISWAP(q[27], q[28]) ** -0.9998377482375511,
cirq.CZ(q[27], q[28]) ** -0.15252451837046574,
],
[
cirq.ISWAP(q[29], q[30]) ** -0.9878279109459591,
cirq.CZ(q[29], q[30]) ** -0.1609201967232209,
],
cirq.rz(rads=34.236310550447435 * np.pi).on(q[1]),
cirq.rz(rads=-34.27248901287614 * np.pi).on(q[2]),
cirq.rz(rads=-13.19807055510896 * np.pi).on(q[3]),
cirq.rz(rads=13.152682288324536 * np.pi).on(q[4]),
cirq.rz(rads=19.96635603838931 * np.pi).on(q[5]),
cirq.rz(rads=-20.40686976126126 * np.pi).on(q[6]),
cirq.rz(rads=-15.32421457749417 * np.pi).on(q[8]),
cirq.rz(rads=15.416022499501823 * np.pi).on(q[9]),
cirq.rz(rads=2.7999079899133363 * np.pi).on(q[10]),
cirq.rz(rads=-2.80761065259142 * np.pi).on(q[11]),
cirq.rz(rads=12.628337110122207 * np.pi).on(q[12]),
cirq.rz(rads=-12.658594831167758 * np.pi).on(q[13]),
cirq.rz(rads=11.899075778124569 * np.pi).on(q[14]),
cirq.rz(rads=-11.777872237332431 * np.pi).on(q[15]),
cirq.rz(rads=-12.725823706766091 * np.pi).on(q[16]),
cirq.rz(rads=12.739336427866004 * np.pi).on(q[17]),
cirq.rz(rads=3.458829500938646 * np.pi).on(q[19]),
cirq.rz(rads=-3.4027874202965385 * np.pi).on(q[20]),
cirq.rz(rads=9.817341949396608 * np.pi).on(q[21]),
cirq.rz(rads=-9.744069538173814 * np.pi).on(q[22]),
cirq.rz(rads=15.12306271184396 * np.pi).on(q[25]),
cirq.rz(rads=-15.164506037093826 * np.pi).on(q[26]),
cirq.rz(rads=20.160375777985994 * np.pi).on(q[27]),
cirq.rz(rads=-20.13556012190064 * np.pi).on(q[28]),
cirq.rz(rads=19.481311792027203 * np.pi).on(q[29]),
cirq.rz(rads=-19.389825290014155 * np.pi).on(q[30]),
[cirq.X(q[0]) ** 0.5, cirq.H(q[0]) ** 0.5, cirq.X(q[0]) ** -0.5],
[cirq.X(q[1]) ** 0.5, cirq.H(q[1]) ** 0.5, cirq.X(q[1]) ** -0.5],
cirq.Y(q[2]) ** 0.5,
cirq.X(q[3]) ** 0.5,
[cirq.X(q[4]) ** 0.5, cirq.H(q[4]) ** 0.5, cirq.X(q[4]) ** -0.5],
cirq.Y(q[5]) ** 0.5,
cirq.Y(q[6]) ** 0.5,
[cirq.X(q[7]) ** 0.5, cirq.H(q[7]) ** 0.5, cirq.X(q[7]) ** -0.5],
cirq.X(q[8]) ** 0.5,
cirq.X(q[9]) ** 0.5,
cirq.X(q[10]) ** 0.5,
[cirq.X(q[11]) ** 0.5, cirq.H(q[11]) ** 0.5, cirq.X(q[11]) ** -0.5],
[cirq.X(q[12]) ** 0.5, cirq.H(q[12]) ** 0.5, cirq.X(q[12]) ** -0.5],
cirq.Y(q[13]) ** 0.5,
cirq.X(q[14]) ** 0.5,
cirq.Y(q[15]) ** 0.5,
cirq.X(q[16]) ** 0.5,
cirq.X(q[17]) ** 0.5,
[cirq.X(q[18]) ** 0.5, cirq.H(q[18]) ** 0.5, cirq.X(q[18]) ** -0.5],
[cirq.X(q[19]) ** 0.5, cirq.H(q[19]) ** 0.5, cirq.X(q[19]) ** -0.5],
[cirq.X(q[20]) ** 0.5, cirq.H(q[20]) ** 0.5, cirq.X(q[20]) ** -0.5],
cirq.Y(q[21]) ** 0.5,
[cirq.X(q[22]) ** 0.5, cirq.H(q[22]) ** 0.5, cirq.X(q[22]) ** -0.5],
cirq.X(q[23]) ** 0.5,
cirq.X(q[24]) ** 0.5,
cirq.Y(q[25]) ** 0.5,
cirq.Y(q[26]) ** 0.5,
cirq.X(q[27]) ** 0.5,
cirq.Y(q[28]) ** 0.5,
[cirq.X(q[29]) ** 0.5, cirq.H(q[29]) ** 0.5, cirq.X(q[29]) ** -0.5],
[cirq.X(q[30]) ** 0.5, cirq.H(q[30]) ** 0.5, cirq.X(q[30]) ** -0.5],
cirq.X(q[31]) ** 0.5,
cirq.rz(rads=-42.731868884042235 * np.pi).on(q[0]),
cirq.rz(rads=42.73449728934477 * np.pi).on(q[1]),
cirq.rz(rads=-42.48648555249982 * np.pi).on(q[4]),
cirq.rz(rads=42.46698886209646 * np.pi).on(q[5]),
cirq.rz(rads=17.629359127188117 * np.pi).on(q[7]),
cirq.rz(rads=-17.570809626368614 * np.pi).on(q[8]),
cirq.rz(rads=-36.89270806725978 * np.pi).on(q[9]),
cirq.rz(rads=36.93788826789848 * np.pi).on(q[10]),
cirq.rz(rads=16.787954522971983 * np.pi).on(q[13]),
cirq.rz(rads=-16.834266520580062 * np.pi).on(q[14]),
cirq.rz(rads=-33.970047663366486 * np.pi).on(q[15]),
cirq.rz(rads=34.00933588051398 * np.pi).on(q[16]),
cirq.rz(rads=-17.533941989655233 * np.pi).on(q[18]),
cirq.rz(rads=17.554825603456727 * np.pi).on(q[19]),
cirq.rz(rads=7.441137480344476 * np.pi).on(q[20]),
cirq.rz(rads=-7.338027941327417 * np.pi).on(q[21]),
cirq.rz(rads=12.963573798570843 * np.pi).on(q[22]),
cirq.rz(rads=-13.250412392135269 * np.pi).on(q[23]),
cirq.rz(rads=12.021227495500458 * np.pi).on(q[24]),
cirq.rz(rads=-12.30408433330133 * np.pi).on(q[25]),
cirq.rz(rads=18.97727945312479 * np.pi).on(q[26]),
cirq.rz(rads=-18.902283551151342 * np.pi).on(q[27]),
cirq.rz(rads=10.306307418341955 * np.pi).on(q[30]),
cirq.rz(rads=-10.407034178043412 * np.pi).on(q[31]),
[
cirq.ISWAP(q[0], q[1]) ** -0.969777854908417,
cirq.CZ(q[0], q[1]) ** -0.21266743136622576,
],
[
cirq.ISWAP(q[4], q[5]) ** -0.9959624181216683,
cirq.CZ(q[4], q[5]) ** -0.17314460131772672,
],
[
cirq.ISWAP(q[7], q[8]) ** -0.8242343706275942,
cirq.CZ(q[7], q[8]) ** -0.15468164635790926,
],
[
cirq.ISWAP(q[9], q[10]) ** -0.981653050634976,
cirq.CZ(q[9], q[10]) ** -0.1933349989832593,
],
[
cirq.ISWAP(q[13], q[14]) ** -0.9637565510028211,
cirq.CZ(q[13], q[14]) ** -0.15186761578643612,
],
[
cirq.ISWAP(q[15], q[16]) ** -1.0089894642925605,
cirq.CZ(q[15], q[16]) ** -0.17298943435986638,
],
[
cirq.ISWAP(q[18], q[19]) ** -0.9446726997534635,
cirq.CZ(q[18], q[19]) ** -0.16140479146278733,
],
[
cirq.ISWAP(q[20], q[21]) ** -0.980271915828302,
cirq.CZ(q[20], q[21]) ** -0.16470994863165317,
],
[
cirq.ISWAP(q[22], q[23]) ** -0.9290392306402181,
cirq.CZ(q[22], q[23]) ** -0.1664963204791881,
],
[
cirq.ISWAP(q[24], q[25]) ** -0.9486971380890047,
cirq.CZ(q[24], q[25]) ** -0.1448964931003518,
],
[
cirq.ISWAP(q[26], q[27]) ** -0.9789198374818319,
cirq.CZ(q[26], q[27]) ** -0.14726825222820017,
],
[
cirq.ISWAP(q[30], q[31]) ** -0.9389507566733047,
cirq.CZ(q[30], q[31]) ** -0.1385796856074536,
],
cirq.rz(rads=43.08985605258596 * np.pi).on(q[0]),
cirq.rz(rads=-43.08722764728342 * np.pi).on(q[1]),
cirq.rz(rads=42.51913905702814 * np.pi).on(q[4]),
cirq.rz(rads=-42.53863574743151 * np.pi).on(q[5]),
cirq.rz(rads=-17.442072351850854 * np.pi).on(q[7]),
cirq.rz(rads=17.500621852670356 * np.pi).on(q[8]),
cirq.rz(rads=37.46019981788182 * np.pi).on(q[9]),
cirq.rz(rads=-37.415019617243125 * np.pi).on(q[10]),
cirq.rz(rads=-17.306336273583675 * np.pi).on(q[13]),
cirq.rz(rads=17.260024275975592 * np.pi).on(q[14]),
cirq.rz(rads=34.09650884952739 * np.pi).on(q[15]),
cirq.rz(rads=-34.057220632379895 * np.pi).on(q[16]),
cirq.rz(rads=16.629064422304193 * np.pi).on(q[18]),
cirq.rz(rads=-16.6081808085027 * np.pi).on(q[19]),
cirq.rz(rads=-8.211658529535743 * np.pi).on(q[20]),
cirq.rz(rads=8.3147680685528 * np.pi).on(q[21]),
cirq.rz(rads=-12.993307215153958 * np.pi).on(q[22]),
cirq.rz(rads=12.706468621589535 * np.pi).on(q[23]),
cirq.rz(rads=-10.31291350227552 * np.pi).on(q[24]),
cirq.rz(rads=10.030056664474653 * np.pi).on(q[25]),
cirq.rz(rads=-19.012829891376892 * np.pi).on(q[26]),
cirq.rz(rads=19.08782579335034 * np.pi).on(q[27]),
cirq.rz(rads=-10.745583222538006 * np.pi).on(q[30]),
cirq.rz(rads=10.644856462836547 * np.pi).on(q[31]),
cirq.X(q[0]) ** 0.5,
cirq.Y(q[1]) ** 0.5,
[cirq.X(q[2]) ** 0.5, cirq.H(q[2]) ** 0.5, cirq.X(q[2]) ** -0.5],
cirq.Y(q[3]) ** 0.5,
cirq.X(q[4]) ** 0.5,
cirq.X(q[5]) ** 0.5,
[cirq.X(q[6]) ** 0.5, cirq.H(q[6]) ** 0.5, cirq.X(q[6]) ** -0.5],
cirq.Y(q[7]) ** 0.5,
[cirq.X(q[8]) ** 0.5, cirq.H(q[8]) ** 0.5, cirq.X(q[8]) ** -0.5],
[cirq.X(q[9]) ** 0.5, cirq.H(q[9]) ** 0.5, cirq.X(q[9]) ** -0.5],
cirq.Y(q[10]) ** 0.5,
cirq.X(q[11]) ** 0.5,
cirq.X(q[12]) ** 0.5,
[cirq.X(q[13]) ** 0.5, cirq.H(q[13]) ** 0.5, cirq.X(q[13]) ** -0.5],
cirq.Y(q[14]) ** 0.5,
cirq.X(q[15]) ** 0.5,
cirq.Y(q[16]) ** 0.5,
cirq.Y(q[17]) ** 0.5,
cirq.Y(q[18]) ** 0.5,
cirq.X(q[19]) ** 0.5,
cirq.X(q[20]) ** 0.5,
[cirq.X(q[21]) ** 0.5, cirq.H(q[21]) ** 0.5, cirq.X(q[21]) ** -0.5],
cirq.Y(q[22]) ** 0.5,
[cirq.X(q[23]) ** 0.5, cirq.H(q[23]) ** 0.5, cirq.X(q[23]) ** -0.5],
[cirq.X(q[24]) ** 0.5, cirq.H(q[24]) ** 0.5, cirq.X(q[24]) ** -0.5],
cirq.X(q[25]) ** 0.5,
[cirq.X(q[26]) ** 0.5, cirq.H(q[26]) ** 0.5, cirq.X(q[26]) ** -0.5],
[cirq.X(q[27]) ** 0.5, cirq.H(q[27]) ** 0.5, cirq.X(q[27]) ** -0.5],
[cirq.X(q[28]) ** 0.5, cirq.H(q[28]) ** 0.5, cirq.X(q[28]) ** -0.5],
cirq.Y(q[29]) ** 0.5,
cirq.Y(q[30]) ** 0.5,
[cirq.X(q[31]) ** 0.5, cirq.H(q[31]) ** 0.5, cirq.X(q[31]) ** -0.5],
],
strategy=cirq.InsertStrategy.EARLIEST,
)
# print a representation of the circuit
print(circuit)
βββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββ ββββββββββββββββββββββββ ββββββββββββββββββββββ ββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββ ββββββββββββββββββββββ βββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ βββββββββββββββββββββ βββββββββββββββββββ
(1, 5): βββY^0.5βββX^0.5βββββββββRz(-1.44Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@ββββββββββββRz(1.79Ο)ββββββX^0.5βββββββββH^0.5βββββββββββX^-0.5ββββββββββββββββββββX^0.5βββββββββββββββββββRz(1.51Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββRz(-1.44Ο)ββββY^0.5ββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββRz(-1.87Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-1.77Ο)ββββββX^0.5ββββββββββββββββββββββX^0.5βββββββββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(-0.707Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββββββRz(0.778Ο)βββββββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββX^0.5βββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(1.7Ο)βββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(-1.34Ο)βββββX^0.5βββββββββX^0.5βββββββββββββH^0.5βββββββββββββββββββββX^-0.5βββββββββββββββββββRz(1.07Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββRz(-1.0Ο)βββββββββββββββY^0.5ββββββββββββββββX^0.5ββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(1.27Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββ@ββββββββββRz(-0.91Ο)βββX^0.5ββββ
β β β β β β β β β β β β β β
(1, 6): βββX^0.5βββRz(1.92Ο)βββββiSwapββββββββββββ@βββββββββββββRz(1.38Ο)ββββββY^0.5ββββββRz(1.44Ο)βββββiSwap^-0.97ββββββ@^-0.213βββββRz(-1.79Ο)βββββX^0.5βββββββββY^0.5βββββββββββRz(1.58Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββββΌβββββββββββββRz(1.98Ο)βββββββββββββββββββΌβββββββββββX^0.5βββββββββββββββRz(-1.03Ο)ββββiSwapββββββββββββ@βββββββββββββRz(0.332Ο)βββββY^0.5ββββββββββRz(1.87Ο)βββββiSwap^-0.97ββββββ@^-0.213ββββββRz(1.78Ο)βββββββX^0.5ββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββY^0.5ββββββββββRz(-0.644Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββ@βββββββββββββΌβββββββββββRz(0.199Ο)ββββββββββββββββββββββββββββββββΌββββββββββX^0.5βββββββββββββββββββββββββH^0.5ββββββββββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββRz(0.016Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-0.716Ο)ββββX^0.5ββββββββββRz(-1.7Ο)ββββββiSwap^-0.97ββββ@^-0.213ββββββRz(1.34Ο)ββββββY^0.5βββββββββX^0.5βββββββββββββRz(1.14Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββiSwapβββββββββββββββββββ@ββββββββββββββββββββRz(-1.58Ο)βββY^0.5ββββββββββββRz(1.06Ο)βββββiSwapββββββββββ@ββββββββββββββRz(-1.76Ο)ββββX^0.5ββββββββββββH^0.5βββββββββX^-0.5βββββββββRz(-1.27Ο)βββiSwap^-0.97βββ@^-0.213βββRz(0.913Ο)βββY^0.5ββββ
β β β β β β β β β β β β β β β β β β β β
(1, 7): βββX^0.5βββRz(-1.96Ο)ββββiSwap^-0.957βββββ@^-0.175ββββββRz(-1.42Ο)βββββY^0.5ββββββX^0.5βββββββββY^0.5ββββββββββββRz(-1.61Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββRz(1.19Ο)βββββX^0.5ββββββββββH^0.5ββββββββΌβββββββββββββββββββββββββββββββββββββββββββX^-0.5ββββββΌββββββββββββββββββββββββββββββββββββββΌβββββββββββββRz(0.996Ο)ββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.957βββββ@^-0.175ββββββRz(-0.368Ο)ββββY^0.5ββββββββββX^0.5βββββββββH^0.5ββββββββββββX^-0.5ββββββββY^0.5βββββββββββRz(0.902Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββRz(-1.32Ο)ββΌβββββββββββββββββββββββββX^0.5βββββββΌβββββββββββββΌβββββββββββH^0.5βββββββββββββββββββββββββββββββββββββΌββββββββββX^-0.5ββββββββββββββββββββββββRz(-0.052Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.957βββββ@^-0.175ββββββRz(0.68Ο)ββββββX^0.5ββββββββββX^0.5ββββββββββH^0.5ββββββββββX^-0.5ββββββββX^0.5ββββββββββRz(-0.582Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββ@ββββββββββββββRz(0.162Ο)βββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββΌβββββββββββRz(-1.1Ο)βββββββββββββββββββΌββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.957βββ@^-0.175βββββββRz(1.73Ο)βββββY^0.5ββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β
(2, 4): βββX^0.5βββRz(1.24Ο)βββββiSwapββββββββββββ@βββββββββββββRz(-0.766Ο)ββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββY^0.5ββββββββRz(1.79Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββRz(-1.1Ο)βββΌββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββββββββX^0.5βββββββΌββββββββββββββββββββββββββββββββββββββΌβββββββββββββRz(1.38Ο)βββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(-0.91Ο)ββββX^0.5ββββββββββββH^0.5βββββββββX^-0.5ββββββββββY^0.5ββββββββββββββββββββββRz(-0.574Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββ@βββββββββββββββββββββββRz(1.26Ο)ββββββββββββββββββββββββββββββββββββββββX^0.5βββββββββββββββΌββββββββββββββββββββββββββββH^0.5ββββββββΌββββββββββββββββββββββββββββββββX^-0.5ββββββΌβββββββββββββββββββββββββX^0.5βββββββΌβββββββββββββΌβββββββββββRz(1.53Ο)βββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-1.05Ο)βββββY^0.5ββββββββββX^0.5ββββββββββH^0.5ββββββββββX^-0.5ββββββββRz(1.07Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββΌββββββββββββββββββββββββββRz(-0.381Ο)βΌββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(1.67Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-1.2Ο)ββββββX^0.5ββββββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(2, 5): βββY^0.5βββRz(-1.28Ο)ββββiSwap^-1.01ββββββ@^-0.17βββββββRz(0.721Ο)βββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββRz(-1.19Ο)ββββββββββββββββββββββββββββββββiSwapβββββββββββ@βββββββββββββββββββββββββRz(1.22Ο)βββββββββββββββX^0.5ββββββββββββββββββββββRz(1.8Ο)βββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββΌβββββββ@βββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββRz(-1.49Ο)ββΌββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββββββββRz(-1.51Ο)ββΌβββββββββββββββββββββββββββββββββββββiSwap^-0.998βββββββββββββββββββββββββββββ@^-0.172ββββββββββββββββββββββββRz(1.45Ο)βββββY^0.5ββββββββββββRz(-1.43Ο)ββββiSwap^-1.01ββββ@^-0.17ββββββββRz(0.865Ο)ββββX^0.5ββββββββββββRz(-1.62Ο)ββββiSwapβββββββββββ@ββββββββββββββββββββββββββRz(1.66Ο)βββββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββΌβββββββββββββββββββββRz(0.184Ο)ββΌβββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββΌββββββββββββββββββββββββββββRz(0.127Ο)βββΌββββββββββββββββββββββββββββββββY^0.5βββββββΌβββββββββββββββββββββββββRz(0.709Ο)ββΌββββββββββββiSwap^-0.998βββββββββββββββββββββββββββββββββββββββββ@^-0.172βββββββββββββββββββββββββββββββββRz(-0.775Ο)ββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββRz(-1.57Ο)ββββiSwap^-1.01ββββββ@^-0.17βββββββRz(1.01Ο)ββββββX^0.5ββββββββββH^0.5ββββββββββX^-0.5βββββββββRz(1.95Ο)βββββiSwapββββββββββ@βββββββββββββRz(-1.91Ο)ββββββββX^0.5βββββββββββββββββββββRz(-1.44Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββΌββββββββββ@ββββββββΌββββββββββββββββββββββββββRz(1.75Ο)βββΌββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββRz(-1.07Ο)ββββββββββββββββββββββiSwap^-0.998βββββββββββββββββββββββββββ@^-0.172βββββββββββββββββββββββββΌββββββββββRz(1.0Ο)ββββββΌβββββββββββY^0.5ββββRz(-1.71Ο)βββiSwap^-1.01ββββββ@^-0.17βββββββRz(1.15Ο)ββββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.51Ο)βββββiSwapββββββββββ@ββββββββββββRz(-1.48Ο)ββββX^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(2, 6): βββX^0.5βββRz(-0.653Ο)ββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββRz(1.32Ο)βββββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(1.17Ο)βββββiSwap^-0.996ββββ@^-0.173ββββββββββββββββββRz(-1.24Ο)ββββββββββββββX^0.5ββββββββββββββββββββββRz(-1.37Ο)βββββββββββββββΌββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββΌββββββββΌβββββββ@βββββββββΌβββββββββββββββββββββββββββββββββββββββRz(-1.85Ο)ββΌββββββββββββY^0.5βββββββββRz(-1.58Ο)βββββββββββββββββiSwap^-1.03ββββββββββββββββββββββββββββββββββββββββββββ@^-0.164ββββββββββββββββββββββββββββββRz(-1.98Ο)βββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββRz(1.13Ο)βββββiSwapββββββββββββ@βββββββββββββRz(-0.466Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.6Ο)ββββββiSwap^-0.996ββββ@^-0.173βββββββββββββββββββRz(-1.68Ο)ββββββββββββββX^0.5ββββββββRz(-1.36Ο)βββββiSwapβββββββΌβββββββββββββββββββββ@βββββββββββΌββββββββββββββββββββββββΌβββββββββββRz(-1.86Ο)ββββββββββββββββββββββββββββΌββββββββββY^0.5ββββΌββββββββββββββββββββββββββββRz(0.639Ο)βββΌβββββββββββββββββββββββββββββββββββββββββββiSwap^-1.03ββββββββββββββββββββββββββ@^-0.164βββββRz(-0.204Ο)ββββββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββββRz(-1.09Ο)βββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββ@βββββββββββββRz(1.75Ο)ββββββββY^0.5βββββββββRz(-1.96Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.996βββ@^-0.173ββββββRz(1.89Ο)βββββββββX^0.5βββββββββββββββββββββRz(-1.35Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββΌββββββββΌββββββββββββββββββββββββββiSwapβββββββΌββββββββββββββ@ββββββββββββββββββββββββββββββββββββββRz(-1.86Ο)ββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββββRz(-1.14Ο)ββββββββββββββββββββββiSwap^-1.03βββββββββββββ@^-0.164βββββββββββββRz(1.58Ο)ββββX^0.5ββββββββββββRz(0.699Ο)ββββiSwapββββββββββ@ββββββββββββββRz(-0.034Ο)βββY^0.5ββββββββββββRz(-1.53Ο)ββββiSwap^-0.996βββ@^-0.173βββββRz(1.46Ο)βββββX^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(2, 7): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(0.212Ο)ββββiSwap^-1.01ββββ@^-0.162βββRz(-1.76Ο)ββββY^0.5ββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββββRz(-1.61Ο)βββββββββββββββiSwapβββββββββββββββββββββββ@ββββββββββββRz(-1.59Ο)βββββββββββββββββX^0.5ββββββββββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββRz(1.61Ο)βββββββββββββββββΌββββββββΌββββββββΌββββββββiSwap^-0.958βββββββββββββββββββββββββββββββββββββββ@^(-3/14)ββββRz(-1.2Ο)βββββY^0.5ββββββββββRz(-1.57Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββββββ@^-0.162ββββββRz(0.025Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββY^0.5βββββββββRz(-0.128Ο)βββββββββββββββiSwapββββββββββββββββββββββββ@βββββββββββRz(0.925Ο)βββX^0.5βββββββββββΌβββββββββββΌβββββββββββH^0.5ββββββΌβββββββββββΌβββββββX^-0.5βββββββββββΌβββββββββββRz(-0.908Ο)βββββββββββββββββββββββββββΌββββββββββββββββββiSwap^-0.958βββββββββββββββββββββββββββββ@^(-3/14)ββββββββββββββββββββββββRz(1.32Ο)ββββββββββββββββββββββββββββX^0.5βββββββββββββββββββRz(0.644Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββββββββββββββββββββββββββ@^-0.162ββββββRz(1.81Ο)ββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββX^0.5ββββββββββRz(1.36Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββ@ββββββββββββRz(-0.559Ο)ββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββΌββββββββββββΌβββββββββββRz(0.576Ο)βββββββββββββββββββββββββΌβββββββββββΌβββββββiSwap^-0.958ββββββββββββββββΌββββββββββ@^(-3/14)βββββββΌβββββββββRz(-0.169Ο)ββββββββββββββββββX^0.5βββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββRz(-1.14Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββββ@^-0.162βββββββRz(-0.407Ο)βββY^0.5ββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β
(3, 3): βββY^0.5βββX^0.5βββββββββRz(-1.47Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(1.65Ο)βββββββY^0.5βββββΌββββββββββββββββX^0.5βββββββΌββββββββββββH^0.5ββββββββββββββββββββββX^-0.5βββββββββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββRz(0.704Ο)ββββββββββββββββΌββββββββΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββRz(-0.477Ο)βββY^0.5ββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββRz(-0.435Ο)ββββββββββββββββββββββββββββββββββiSwapβββββββββββ@ββββββββββΌββββββββββββββββRz(0.622Ο)βββΌβββββββββββX^0.5ββββββββX^0.5βββββββββββΌβββββββββββΌβββββββββββH^0.5ββββββΌβββββββββββΌβββββββX^-0.5βββββββββββΌβββββββββββRz(-1.98Ο)ββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββRz(-1.8Ο)ββββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββX^0.5βββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(0.597Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββ@βββββββββββββββββββββββββRz(-0.41Ο)βββββββββββββββX^0.5βββββββΌββββββββββββββββX^0.5βββββββΌββββββββββββH^0.5ββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββΌββββββββββββΌβββββββββββRz(-0.656Ο)ββββββββββββββββββββββββΌβββββββββββΌβββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββRz(0.883Ο)βββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββX^0.5βββββββββββββββββββH^0.5ββββββββββββββββX^-0.5βββββββRz(1.63Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-1.44Ο)βββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(3, 4): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(0.277Ο)ββββiSwapββββββββββ@ββββββββββRz(-0.672Ο)βββY^0.5ββββββββββββRz(1.53Ο)ββββiSwap^-0.824βββ@^-0.155ββββββRz(-1.6Ο)βββββββX^0.5βββββΌββββββββββββββββH^0.5βββββββΌββββββββββββX^-0.5βββββββββββββββββββββRz(-1.76Ο)ββββββββββββββiSwap^-0.958βΌββββββββββββΌββββββββββββββββββββββββββββββββββββ@^-0.165βΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββRz(1.13Ο)βββββββββββββββX^0.5βββββββββRz(0.184Ο)βββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββββΌβββββββββββββRz(0.689Ο)ββββββββββββββββββΌβββββββββββX^0.5βββββββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.16Ο)βββββiSwapββββββββββ@ββββββββββββββRz(-1.56Ο)ββββX^0.5ββββββββββββRz(0.493Ο)ββββiSwap^-0.824ββββ@^-0.155βββΌββββββββββββββββRz(-0.563Ο)ββΌβββββββββββY^0.5ββββββββRz(0.604Ο)ββββββΌββββββββββiSwap^-0.958βββββββββββΌββββββββββ@^-0.165βββββββββββββββββΌβββββββββββRz(-1.23Ο)ββββββββββββββββββββββββββββΌββββββββββX^0.5ββββββββββββββββββββββββββββββββRz(1.36Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββRz(-0.483Ο)βββX^0.5ββββββββββββH^0.5βββββββββX^-0.5βββββββββRz(-1.96Ο)βββββiSwapββββββββββ@ββββββββββββββRz(1.56Ο)βββββY^0.5ββββββββββRz(-0.539Ο)βββiSwap^-0.824ββββββ@^-0.155ββββββββββββββββββRz(0.469Ο)βββββββββββββββX^0.5βββββββΌββββββββββββββββH^0.5βββββββΌββββββββββββX^-0.5βββββββββββββββββββββββRz(-1.04Ο)ββββββββββββββββββββββββββiSwap^-0.958βΌβββββββββββββββββββββββββββββββββββββββββββββ@^-0.165ββββΌβββββββββββββββββββββββββββββββββββΌββββββββββRz(0.411Ο)ββββββΌβββββββββX^0.5ββββββββββββββββββββββββRz(-1.47Ο)ββββββββββββββββββββββββββββββββββΌβββββββββββββiSwapββββββββββββββββββββββββΌβββββββ@ββββββββββββRz(-1.66Ο)βββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(-1.07Ο)ββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(0.676Ο)βββββX^0.5ββββββββββRz(-1.57Ο)ββββiSwap^-0.824βββββ@^-0.155ββββββRz(1.5Ο)βββββββX^0.5ββββββββH^0.5βββββββββX^-0.5βββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(3, 5): βββY^0.5βββRz(-0.185Ο)ββββββββββββββββββββββββββββββββββiSwap^-1.01ββββ@^(-1/6)βββRz(0.764Ο)ββββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(-0.481Ο)βββiSwapβββββββββββ@βββββββββΌββββββββββββββββRz(1.05Ο)βββΌββββββββββββY^0.5ββββββββββββββββββββββRz(-1.81Ο)ββββββββββββββββββββββββββiSwap^-0.992βΌββββββββββββββββββββββββββββββββββββββββββββ@^-0.178βΌββββββββββββββββββββββββββββββββββββββββββββββββRz(1.49Ο)βββββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββββββββRz(-0.217Ο)βΌββββββββββββββββββββββββββββββββββββββΌβββββββββββββiSwapβββββββββββββββββββββββΌβββββββββββ@βββββββββββββββββββRz(-1.49Ο)ββββX^0.5ββββββββββββRz(-1.07Ο)ββββiSwap^-1.01ββββ@^(-1/6)βββββββRz(1.65Ο)βββββY^0.5ββββββββββββRz(0.715Ο)ββββiSwapβββββββββββ@ββββββββββΌββββββββββββββββRz(-0.148Ο)ββΌβββββββββββX^0.5ββββββββRz(-0.188Ο)βββββΌβββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββiSwap^-0.992βββββββββββββββββββββββββββββββββββββ@^-0.178ββββββββββββββββββββββββββββββββββββββββRz(-0.131Ο)ββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββΌββββββββββββββββββββββββββββββββββββββββRz(0.371Ο)ββΌββββββββββββββββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββΌβββββββββββ@ββββββββββββββββββββββββRz(1.92Ο)βββββX^0.5ββββββββββββRz(-1.95Ο)ββββββββββββββββββββββββββββββββββiSwap^-1.01ββββ@^(-1/6)βββββββRz(-1.47Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5ββββββββββββRz(1.91Ο)βββββββββββββββββiSwapββββββββββββββββββββ@βββββββββββΌββββββββββββββββRz(-1.34Ο)ββΌββββββββββββX^0.5ββββββββββββββββββββββββRz(1.43Ο)βββββββββββββββββββββββββββββββββββββββiSwap^-0.992βββββββββββββββββββββββββββββββββββββββββββββ@^-0.178ββββββββββββββββββββββββββββΌββββββββββRz(-1.75Ο)ββββββΌβββββββββX^0.5ββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββX^-0.5ββββββΌββββββββββββββΌββββββββββββββββRz(0.959Ο)ββΌββββββββΌββββββββββββiSwapββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββRz(1.33Ο)βββββββββββββββY^0.5ββββββββββββββββRz(1.16Ο)ββββiSwap^-1.01ββββββ@^(-1/6)ββββββRz(-0.584Ο)ββββX^0.5ββββββββββRz(-0.893Ο)βββiSwapββββββββββββ@βββββββββββββRz(1.46Ο)ββββββX^0.5ββββββββH^0.5βββββββββX^-0.5βββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(3, 6): βββY^0.5βββRz(0.022Ο)ββββiSwapββββββββββββ@βββββββββββββRz(0.58Ο)ββββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββRz(0.526Ο)ββββββββββββββββββββββββββββββββiSwap^-0.982ββββ@^-0.193ββΌββββββββββββββββRz(-1.0Ο)βββΌββββββββββββY^0.5ββββββββββββββββββββββRz(1.26Ο)βββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββββββββββββββββββββββββββββββββββββββββββ@^(-2/11)ββββββββββββββββββββββββββββββββββββββββRz(1.74Ο)βββββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββββββββRz(0.773Ο)ββΌββββββββββββββββββββββββββββββββββββββΌββββββββββββββΌββββββββββiSwapββββββββββββΌββββββββββββΌβββββββ@βββββββββββRz(-1.86Ο)ββββY^0.5ββββββββββββRz(-0.718Ο)βββiSwapββββββββββ@ββββββββββββββRz(1.32Ο)βββββX^0.5ββββββββββββRz(-0.67Ο)ββββiSwap^-0.982ββββ@^-0.193βββΌββββββββββββββββRz(0.193Ο)βββΌβββββββββββY^0.5ββββββββRz(1.25Ο)ββββββiSwap^-1.01ββββββββββββββββββββββ@^(-2/11)ββββββββββββββββββββββββββRz(1.75Ο)ββββββββββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββββββββRz(-1.9Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββΌββββββββββββΌβββββββββββiSwapβββββββββββββββββββββΌββββββββββββΌβββββββ@ββββββββββββββββRz(0.808Ο)ββββX^0.5ββββββββββββH^0.5βββββββββX^-0.5βββββββββRz(-1.46Ο)βββββiSwapββββββββββ@ββββββββββββββRz(-1.94Ο)ββββY^0.5ββββββββββRz(-1.87Ο)ββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.982βββββββββββββ@^-0.193ββββΌββββββββββββββββRz(1.39Ο)βββΌββββββββββββX^0.5ββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββRz(1.24Ο)βββββββββββββββββββββββββββββββββββββiSwap^-1.01βββββββββββββββ@^(-2/11)ββββββββββββββββββββββββββββββRz(1.75Ο)βββββββββββββββββββββββX^0.5βββββββΌββββββββββββββΌββββββββββββββββRz(-0.571Ο)βΌββββββββΌβββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββΌβββββββββββ@βββββββββββββββββββRz(-0.52Ο)ββββββββββββββY^0.5ββββββββββββββββRz(1.8Ο)βββββiSwapββββββββββββ@βββββββββββββRz(-1.2Ο)ββββββX^0.5ββββββββββRz(0.938Ο)ββββiSwap^-0.982βββββ@^-0.193ββββββRz(-1.41Ο)βββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(3, 7): βββX^0.5βββRz(-0.03Ο)ββββiSwap^-0.973βββββ@^-0.163ββββββRz(-0.588Ο)ββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββX^0.5ββββββββRz(1.57Ο)βββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.974ββββββββββββββββ@^-0.171βββββRz(1.55Ο)ββββββββββββββββββY^0.5βββββββββββββββββββRz(0.496Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββ@ββββββββββββRz(-0.851Ο)βββX^0.5ββββββββββRz(0.71Ο)ββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββΌββββββββββββββΌβββββββββββΌββββββββββββββββΌββββββββββββΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.973βββ@^-0.163βββββββRz(-1.33Ο)ββββY^0.5ββββββββββββX^0.5βββββββββRz(0.083Ο)ββββββββββββββββiSwap^-0.974βββββββββββββββββ@^-0.171ββββRz(-0.97Ο)βββY^0.5ββββββββββRz(-1.74Ο)ββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββRz(1.38Ο)βββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββββββββRz(1.45Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββββββββββββββββΌββββββββββββΌββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.973βββ@^-0.163βββββββRz(1.93Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5ββββββββββββX^0.5βββββββββββββββββββββRz(-1.4Ο)βββββββββββββββββββββββββββiSwap^-0.974ββββββββββββββββ@^-0.171βββββRz(0.514Ο)βββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββRz(0.032Ο)ββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββRz(-0.387Ο)βΌββββββββββββββΌββββββββββββββββY^0.5βββββββΌββββββββΌβββββββββββββΌββββββββββββΌββββββββββRz(-1.81Ο)βββββββΌββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.973βββββ@^-0.163ββββββRz(1.19Ο)ββββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββX^0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 2): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(-0.847Ο)βββiSwapββββββββββ@ββββββββββRz(1.08Ο)βββββY^0.5ββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββββRz(-1.41Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββ@ββββββββββββRz(0.738Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββX^0.5βββββββΌββββββββββββH^0.5βββββββββX^-0.5βββββββββRz(-0.695Ο)ββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββΌββββββββββββββΌβββββββββββΌββββββββββββββββΌββββββββββββΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(0.932Ο)ββββX^0.5ββββββββββββX^0.5βββββββββH^0.5βββββββββββX^-0.5βββββββββββββββββββββRz(-1.25Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββ@ββββββββΌβββββββββββββββRz(0.582Ο)βββββββββββββββββββββββββββΌββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββRz(-0.543Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββββββββββββββββΌββββββββββββΌββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(0.78Ο)ββββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββY^0.5βββββββββRz(-1.1Ο)ββββββββββββββββββiSwapββββββββββββββββββββββββ@ββββββββββββRz(0.426Ο)ββββββββββββββββββX^0.5βββββββββββββββββββH^0.5ββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββRz(-0.391Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββΌββββββββββββββΌββββββββββββββββββββββββββββΌββββββββΌβββββββββββββΌββββββββββββΌβββββββββββββββββββββββββββΌββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(0.628Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββX^0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 3): βββX^0.5βββRz(0.816Ο)βββββββββββββββββββββββββββββββββββiSwap^-0.997βββ@^-0.163βββRz(-1.11Ο)ββββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(-1.86Ο)ββββiSwapβββββββββββ@βββββββββββββββββββββββββRz(1.35Ο)βββββββββββββββX^0.5ββββββΌββββββββββββββββRz(0.721Ο)ββΌββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββRz(-1.06Ο)ββΌββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββββββββRz(-0.787Ο)βΌβββββββββββββββββββββββββββββββββββββiSwap^(-14/15)βΌβββββββββββΌβββββββββββββββ@^-0.158βββββΌββββββββΌβββββββββββRz(0.394Ο)ββββX^0.5ββββββββββββRz(0.664Ο)ββββiSwap^-0.997βββ@^-0.163βββββββRz(-0.963Ο)βββX^0.5ββββββββββββH^0.5βββββββββX^-0.5ββββββββββRz(-0.98Ο)βββββββββββββββββiSwapβββββββββββββββββββ@ββββββββββββRz(0.462Ο)βββββY^0.5βββββββΌβββββββββββββββββββββRz(-0.163Ο)βΌββββββββΌβββββββββββββββββββββββββββiSwapββββββββββββββββββββΌβββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββRz(-0.173Ο)ββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββRz(1.89Ο)βββββββββββββββββββββββββββiSwap^(-14/15)ββββββββββββββββββββββββββββββββββββββ@^-0.158βββββββββββββββββββββββΌββββββββββββΌββββββββββββΌββββββββββRz(1.71Ο)ββββββΌββββββββββββΌββββββββΌβββββββX^0.5ββββH^0.5βββββββββX^-0.5βββββββββββRz(0.512Ο)ββββiSwap^-0.997βββ@^-0.163βββββββRz(-0.811Ο)ββββX^0.5ββββββββββRz(-0.096Ο)ββββββββββββββββββββββββββββββββiSwapβββββββββββββ@βββββββββΌββββββββββββββββRz(-0.422Ο)ββΌββββββββββββX^0.5βββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββββββββββRz(-1.05Ο)ββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββββββββββββββββRz(0.711Ο)ββββββββββββββββY^0.5ββββββΌββββββββββββββββββββββββββββRz(0.573Ο)βΌββββββββββββββββββββββββββββββββiSwap^(-14/15)βΌβββββββββββββββββββββββββββ@^-0.158βΌβββββββββββββΌββββββββββββΌββββββββββRz(-0.966Ο)ββββββΌββββββββββββΌβββββββββX^0.5βββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββRz(0.36Ο)ββββiSwap^-0.997βββββ@^-0.163ββββββRz(-0.659Ο)ββββY^0.5ββββββββββRz(0.788Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-1.31Ο)βββββX^0.5ββββββββH^0.5βββββββββX^-0.5βββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 4): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(-1.0Ο)βββββiSwapββββββββββ@ββββββββββRz(0.799Ο)ββββY^0.5ββββββββββββRz(1.82Ο)βββββββββββββββββββββββββββββββββiSwap^-0.964ββββ@^-0.152ββββββββββββββββββRz(-1.39Ο)ββββββββββββββX^0.5ββββββΌββββββββββββββββRz(-1.39Ο)ββΌβββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββΌβββββββ@βββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββRz(0.467Ο)ββΌββββββββββββY^0.5βββββββββRz(-0.109Ο)ββββββββββββββββiSwap^-0.939βββββββββββββββββββββββββββββββββββββββββββ@^-0.171ββββββββββββββββββββββββββββββRz(-0.613Ο)ββββΌβββββββββββΌβββββββββββββββX^0.5ββββββββΌββββββββΌβββββββββββRz(-0.701Ο)ββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(0.499Ο)ββββY^0.5ββββββββββββRz(0.934Ο)βββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.964ββββββββββββ@^-0.152βββββRz(-0.508Ο)ββββX^0.5βββββββΌβββββββββββββββββββββH^0.5βββββββΌββββββββΌβββββββββββββββX^-0.5βββββββΌββββββββββββββββββββββββΌββββββββββββRz(-0.939Ο)βΌββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββRz(0.015Ο)ββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββββββββββRz(-1.28Ο)βββββββββββββββββββββββββββββββiSwap^-0.939βΌββββββββββββΌββββββββββββββββββββββββ@^-0.171βββββΌββββββββΌββββββββββββββββRz(0.559Ο)ββββX^0.5ββββββββββββRz(-0.401Ο)βββiSwapββββββββββ@ββββββββββββββRz(0.199Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββRz(0.05Ο)βββββiSwap^-0.964ββββββ@^-0.152ββΌββββββββββββββββRz(0.376Ο)βββΌββββββββββββY^0.5βββββββββββββββββββββββRz(-0.487Ο)βββββββββββββββββββββββββiSwapβββββββββββββββββββββββ@βββββββββββββββββββββββββΌβββββββββββRz(-0.437Ο)ββββββββββββββββββββββββββββββββββββΌββββββββββX^0.5ββββββββββββββββββββββββββββββRz(1.55Ο)ββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.939ββββββββββββββββββββββββ@^-0.171ββββββΌββββββββββββΌββββββββββRz(1.73Ο)ββββββββΌββββββββββββΌβββββββββY^0.5βββββRz(-0.101Ο)βββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-0.101Ο)ββββX^0.5ββββββββββRz(-0.834Ο)βββiSwap^-0.964βββββ@^-0.152ββββββRz(1.26Ο)ββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 5): βββX^0.5βββRz(1.12Ο)ββββββββββββββββββββββββββββββββββββiSwap^-0.973βββ@^-0.161βββRz(-0.678Ο)βββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(0.222Ο)ββββiSwapβββββββββββ@βββββββββββββββββββββββββRz(-0.095Ο)βββββββββββββY^0.5ββββββΌββββββββββββββββRz(-1.62Ο)ββΌβββββββββββββΌββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββΌββββββββΌβββββββ@βββββββββββββββββββββΌβββββββββββββββββββββββββββRz(0.486Ο)ββΌββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββRz(0.126Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.02βΌβββββββββββββββββββββββββββ@^-0.148βΌβββββββββββRz(1.4Ο)ββββββY^0.5ββββββββββββRz(0.822Ο)ββββiSwap^-0.973βββ@^-0.161βββββββRz(-0.378Ο)βββX^0.5ββββββββββββH^0.5βββββββββX^-0.5ββββββββββRz(-1.84Ο)βββββββββββββββββiSwapβββββββββββββββββββ@ββββββββββββRz(1.97Ο)ββββββY^0.5βββββββΌβββββββββββββββββββββRz(-0.724Ο)βΌββββββββΌββββββββββββββββββββββββββββΌβββββββββββiSwapββββββββΌββββββββββββββββββββββββΌβββββββ@βββββββββββββββββββββββββββββΌβββββββββββRz(-0.41Ο)ββββββββββββββββββββββββΌββββββββββX^0.5βββββββββββββββββββββRz(-0.462Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.02ββΌββββββββββββββββββββββββββββββββββββ@^-0.148βΌββββββββββββββββRz(1.99Ο)βββββY^0.5ββββββββββββRz(0.522Ο)ββββiSwap^-0.973βββ@^-0.161βββββββRz(-0.078Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββRz(0.094Ο)ββββiSwapβββββββββββββ@βββββββββΌββββββββββββββββRz(0.033Ο)βββΌββββββββββββX^0.5βββββββββββββββββββββββRz(0.172Ο)βββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββββββββββββββββββββΌβββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββΌββββββββββ@ββββββββββββββββββββββββββββββββββRz(-1.31Ο)ββββββββββββββββX^0.5ββββββΌββββββββββββββββββββββββββββH^0.5ββββββΌβββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββRz(-1.05Ο)ββββββββββββββββββββββiSwap^-1.02ββΌββββββββββββββββββββββββββ@^-0.148βββββΌβββββββββββββββββββRz(-1.43Ο)ββββββββββββββX^0.5ββββββββββββββββRz(0.222Ο)βββiSwap^-0.973βββββ@^-0.161ββββββRz(0.222Ο)βββββY^0.5ββββββββββRz(-1.97Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-1.9Ο)ββββββX^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 6): βββX^0.5βββRz(-0.163Ο)ββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββRz(-1.63Ο)ββββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(-0.183Ο)βββiSwap^-1.01βββββ@^-0.173ββββββββββββββββββRz(0.135Ο)ββββββββββββββY^0.5ββββββΌββββββββββββββββRz(0.368Ο)ββΌβββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββiSwapβββββββββββββββββββββΌββββββββΌββββββββΌββββββββ@ββββββββββββΌβββββββββββββββββββββββββββRz(-0.897Ο)βΌββββββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββRz(-0.771Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.03βββββββββββββββββββββββββ@^-0.139ββββRz(1.87Ο)βββββX^0.5ββββββββββββRz(-0.463Ο)βββiSwapββββββββββ@ββββββββββββββRz(-1.33Ο)ββββY^0.5ββββββββββββRz(1.88Ο)ββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01βββββββββββββ@^-0.173βββββRz(-1.93Ο)βββββX^0.5βββββββΌβββββββββββββββββββββH^0.5βββββββΌββββββββΌβββββββββββββββX^-0.5βββββββΌββββββββββββΌββββββββββββΌββββββββββββRz(-0.972Ο)βΌββββββββΌβββββββββββββββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββΌββββββββββ@βββββββββββββββββββββββββRz(0.443Ο)ββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββββββββββRz(1.9Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.03ββββββββββββββββββββββββββββββββββ@^-0.139βββββββββRz(-0.807Ο)βββX^0.5ββββββββββββRz(-0.763Ο)βββiSwapββββββββββ@ββββββββββββββRz(-1.03Ο)βββββY^0.5ββββββββββRz(-0.055Ο)ββββββββββββββββββββββββββββββββiSwap^-1.01βββββββ@^-0.173ββΌββββββββββββββββRz(0.007Ο)βββΌββββββββββββX^0.5βββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββΌββββββββββββββββRz(1.69Ο)βββΌβββββββββββββββββββββββββΌββββββββββββΌβββββββββββiSwapββββββββββββββββββββββββββββββΌβββββββββββΌβββββββ@ββββββββββββββββββββββββββRz(1.78Ο)βββββββββββββββββX^0.5ββββββΌββββββββββββββββββββββββββββRz(0.573Ο)βΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.03ββββββββββββββββββββββββββββ@^-0.139ββββββββββββRz(0.521Ο)ββββββββββββββY^0.5ββββββββββββββββRz(-1.06Ο)βββiSwapββββββββββββ@βββββββββββββRz(-0.726Ο)ββββX^0.5ββββββββββRz(-1.99Ο)ββββiSwap^-1.01ββββββ@^-0.173ββββββRz(1.94Ο)ββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(4, 7): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(0.177Ο)ββββiSwap^-0.979βββ@^-0.168βββRz(1.64Ο)βββββX^0.5ββββββββββββY^0.5ββββββββX^0.5ββββββββββRz(-0.48Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββββββββΌββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββββββββββββββββΌββββββββΌββββββββΌβββββββββΌβββββββββββiSwap^-1.01ββββββββββββββββββββββββββββ@^(-1/6)βββββRz(0.867Ο)ββββY^0.5ββββββββββRz(0.477Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.979βββ@^-0.168βββββββRz(1.34Ο)βββββX^0.5ββββββββββββX^0.5βββββββββH^0.5βββββββββββX^-0.5βββββββββββββββββββββX^0.5βββββββββββββββββββRz(1.75Ο)βββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββΌβββββββiSwap^-1.01ββββββββββββββββββΌββββββββββββΌβββββββββββ@^(-1/6)βββββRz(-1.36Ο)ββΌββββββββΌβββββββββββββββββββββββββββββΌββββββββββββΌβββββββββX^0.5βββββββββββββββββββΌβββββββββββΌββββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββRz(0.777Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.979βββ@^-0.168βββββββRz(1.04Ο)ββββββX^0.5ββββββββββY^0.5βββββββββX^0.5ββββββββββRz(-0.016Ο)βββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββββββββββββββββββββΌββββββββββββΌββββββββββββΌββββββββββββββββββββββββββββββββββΌβββββββββββΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββββββββββββββββββββββββββββ@^(-1/6)ββββββββββββββRz(0.403Ο)ββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(1.08Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.979βββββ@^-0.168ββββββRz(0.739Ο)βββββX^0.5ββββββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 1): βββX^0.5βββY^0.5βββββββββRz(1.12Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(1.98Ο)βββββββX^0.5βββββββββββββββββββββY^0.5βββββββββββββββββββRz(1.64Ο)ββΌββββββββββββββββββββββββββββΌβββββββββββββΌββββββββββββΌββββββββββββΌββββββββββββΌβββββββββββββββββββββββββΌββββββββΌββββββββΌβββββββββΌββββββββββββββββββββββiSwapβββββββββββββββββββββββ@ββββββββββββRz(1.6Ο)ββββββX^0.5ββββββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββRz(0.234Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-1.14Ο)ββββββX^0.5ββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββY^0.5ββββββββββRz(0.303Ο)ββΌβββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββΌββββββββββββΌββββββββββββββββββββββββββββββββββββΌββββββββΌβββββββββββiSwapβββββββββββββΌββββββββββββΌβββββββββββββββββββ@βββββββββββββΌβββββββββββΌββββββββββRz(-1.07Ο)βββββX^0.5βββββββββββββββββββH^0.5ββββββββββββββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββββββRz(-0.65Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(-0.255Ο)ββββX^0.5βββββββββX^0.5βββββββββββββH^0.5βββββΌββββββββββββββββX^-0.5βββββββΌββββββββββββRz(-1.03Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββiSwapβββββββββββββΌββββββββββββΌββββββββββββΌββββββββββββββββββββ@βββββββββββββΌβββββββββββΌββββββββΌβββββββββββRz(0.268Ο)βββββY^0.5βββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββRz(-1.53Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββRz(0.629Ο)ββββY^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 2): βββY^0.5βββRz(-0.225Ο)βββiSwapββββββββββββ@βββββββββββββRz(0.795Ο)βββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββRz(-1.1Ο)ββββiSwap^-0.945βββ@^-0.161ββββββRz(-1.96Ο)ββββββX^0.5βββββββββββββββββββββRz(1.4Ο)ββββββββββββββββββββββββββiSwap^-0.974ββββββββββββββββ@^(-1/6)ββββββΌββββββββββββΌββββββββββββΌββββββββββββΌβββββββββRz(-0.75Ο)ββββββΌββββββββΌββββββββΌβββββββββΌβββββββββββY^0.5βββββββΌββββββββββββββββRz(1.6Ο)ββββΌβββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββββββββββββββRz(1.96Ο)ββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββRz(-1.11Ο)ββββiSwapββββββββββββ@βββββββββββββRz(1.68Ο)ββββββY^0.5ββββββββββRz(-0.213Ο)βββiSwap^-0.945βββββ@^-0.161ββββββRz(1.16Ο)βββββββX^0.5ββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββRz(1.24Ο)βββββββββββββββββiSwap^-0.974βββββββββββββββββββββ@^(-1/6)ββββββββββββββββRz(-0.594Ο)ββΌββββββββββββΌββββββββββββββββββββββββY^0.5βββββββΌββββββββΌββββββββββββΌβββββββββββββββββΌββββββββββββΌβββββββββRz(0.406Ο)βΌβββββββββββββΌβββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββRz(-0.839Ο)ββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββRz(2.0Ο)ββββββiSwapββββββββββββ@βββββββββββββRz(-1.43Ο)βββββY^0.5ββββββββββRz(0.671Ο)βββββiSwap^-0.945βββ@^-0.161ββββββRz(0.276Ο)βββββX^0.5βββββββββRz(1.08Ο)ββββββββββββββββββiSwap^-0.974βββββββββββββββββ@^(-1/6)βββββRz(-0.438Ο)βββββββββββββββββX^0.5βββββββββββββββββββH^0.5ββββββββΌββββββββββββββββX^-0.5ββββββΌββββββββΌβββββββββββββββββΌββββββββββββΌββββββββββββΌββββββββββRz(-0.79Ο)βΌβββββββββββββΌβββββββββββΌββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββRz(0.357Ο)ββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(1.11Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(-0.541Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.55Ο)βββββiSwap^-0.945βββ@^-0.161βββββRz(-0.608Ο)βββX^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 3): βββX^0.5βββRz(0.281Ο)ββββiSwap^(-15/16)βββ@^-0.145ββββββRz(-0.739Ο)ββββY^0.5ββββββRz(0.781Ο)ββββiSwapββββββββββββ@ββββββββββββRz(-1.55Ο)βββββX^0.5βββββββββH^0.5βββββββββββX^-0.5ββββββββββββββββββββRz(-0.661Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.01ββΌββββββββββββΌββββββββββββΌββββββββββββββββββββββββ@^-0.161βΌββββββββΌβββββββββΌβββββββββββββββββββββββΌββββββββββββββββRz(1.12Ο)βββΌββββββββββββX^0.5βββββββββRz(-1.67Ο)ββββββΌβββββββββββiSwapββββββββββββββββββββββββββββββββββββββββΌββββββββββ@βββββββββββββββββββββββββββββββββββββRz(-1.43Ο)βββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(1.17Ο)βββββiSwap^(-15/16)βββ@^-0.145ββββββRz(-1.63Ο)βββββX^0.5ββββββββββRz(-0.999Ο)ββββββββββββββββββββββββββββββββββiSwapβββββββββββ@ββββββββββββββββββββββββββRz(0.228Ο)ββββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5βββββββββββββββββββββββββββRz(0.223Ο)βββββββββββββββββββββββββββββββββββββiSwap^-1.01ββΌβββββββββββββββββββββββββββββββββββ@^-0.161βΌββββββββββββΌβββββββββββββββββΌββββββββββββΌβββββββββRz(0.234Ο)βΌβββββββββββββΌβββββββββββΌββββββββββX^0.5ββββββββββRz(1.14Ο)ββββββββββββββββββββββββββββΌβββββββββββββiSwapββββββββββββββββββββββββββββββββββΌββββββββ@ββββββββββββββββββββRz(-0.242Ο)ββββββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββRz(-1.94Ο)ββββiSwap^(-15/16)βββ@^-0.145ββββββRz(1.48Ο)ββββββX^0.5ββββββββββRz(1.22Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββ@βββββββββββββββββββββββββRz(-1.99Ο)βββββββββββββββY^0.5βββββββββββββββββββββββRz(1.11Ο)ββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌββββββββΌββββββββββββββββiSwap^-1.01ββΌββββββββββββΌβββββββββββββββββββββΌββββββββββββ@^-0.161ββββΌββββββββΌββββββββββββββββββββββββββRz(-0.65Ο)ββββββββββββββββX^0.5ββββββΌββββββββββββββββββββββββββββH^0.5ββββββΌβββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββRz(-0.054Ο)βββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββRz(0.95Ο)βββββββββββββββX^0.5ββββββββββββββββRz(-1.06Ο)βββiSwap^(-15/16)βββ@^-0.145ββββββRz(0.597Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(-0.559Ο)βββiSwapββββββββββ@ββββββββββββRz(-0.212Ο)βββX^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 4): βββX^0.5βββRz(-0.331Ο)βββiSwapββββββββββββ@βββββββββββββRz(0.049Ο)βββββY^0.5ββββββRz(-0.678Ο)βββiSwap^-0.98ββββββ@^-0.165βββββRz(1.66Ο)ββββββX^0.5βββββββββRz(1.42Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.985βΌββββββββββββΌββββββββββββββββββββββββββββββββ@^(-1/6)βΌβββββββββΌβββββββββββββββββββββββΌββββββββββββββββRz(-0.44Ο)ββΌββββββββββββY^0.5βββββββββRz(1.85Ο)βββββββΌββββββββββββΌβββββββββββiSwapββββββββββββββββββββββββββββΌβββββββββββΌβββββββ@βββββββββββββββββββββββββββββRz(-1.18Ο)βββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββRz(0.413Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-0.695Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.1Ο)ββββββiSwap^-0.98βββββ@^-0.165βββββββββββββββββββRz(-0.125Ο)βββββββββββββY^0.5ββββββββRz(0.965Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββΌββββββββββββββββiSwap^-0.985βΌββββββββββββββββββββΌββββββββββββ@^(-1/6)ββββΌβββββββββββββββββββββββββRz(0.012Ο)ββββββββββββββX^0.5ββββββββΌββββββββββββββΌββββββββββββββββββββββββββRz(-0.006Ο)βΌβββββββββΌββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββRz(0.678Ο)ββββX^0.5ββββββββββββH^0.5βββββββββX^-0.5βββββββββRz(1.16Ο)ββββββiSwapββββββββββ@ββββββββββββββRz(-1.44Ο)ββββX^0.5ββββββββββRz(-1.12Ο)ββββiSwap^-0.98βββββββ@^-0.165ββββββββββββββββββRz(-1.91Ο)βββββββββββββββY^0.5βββββββββββββββββββββββRz(0.513Ο)ββββββββββββββββββββββββββiSwap^-0.985ββββββββββββββββ@^(-1/6)βΌββββββββββββββββRz(0.464Ο)βββΌββββββββββββΌβββββββββββββββββββββΌββββββββββββX^0.5βββββββΌββββββββΌββββββββββββββββββββββββββRz(-1.86Ο)βββββββββββββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββΌββββββββ@ββββββββββββRz(-1.46Ο)ββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββΌβββββββββββH^0.5βββββββββββββββββββββββΌβββββββββββX^-0.5ββββββββββββββRz(1.9Ο)ββββββββββββββββiSwapββββββββββββββββ@ββββββββββββRz(1.82Ο)ββββββββY^0.5βββββββββRz(0.662Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.98ββββ@^-0.165βββββRz(0.315Ο)ββββX^0.5ββββββH^0.5ββββββββX^-0.5βββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 5): βββY^0.5βββRz(0.404Ο)ββββiSwap^-0.977βββββ@^-0.163ββββββRz(0.024Ο)βββββX^0.5ββββββRz(1.86Ο)βββββiSwapββββββββββββ@ββββββββββββRz(-1.89Ο)βββββY^0.5βββββββββRz(1.63Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.963βΌββββββββββββββββββββββββββββββββββββββββ@^-0.163ββΌβββββββββββββββββββββββΌββββββββββββββββRz(-0.476Ο)βΌββββββββββββX^0.5βββββββββRz(-1.57Ο)ββββββΌββββββββββββΌββββββββββββΌβββββββββββiSwapββββββββββββββββΌβββββββββββΌββββββββΌβββββββ@βββββββββββββββββββββRz(1.43Ο)ββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(-0.34Ο)ββββiSwap^-0.977βββββ@^-0.163ββββββRz(0.768Ο)βββββX^0.5ββββββββββRz(1.56Ο)βββββiSwapββββββββββββ@βββββββββββββRz(-1.59Ο)ββββββY^0.5ββββββββββββββββββββββRz(0.734Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.963ββββββββββββββββββββββββββββββββ@^-0.163βββββΌββββββββββββββββRz(0.42Ο)ββββΌββββββββββββββββββββΌββββββββββββX^0.5βββββββΌβββββββββββββββββββββββββRz(1.83Ο)ββββββββββββββββββββββββββββΌββββββββββββββΌβββββββββββiSwapββββββββββββββββββββββΌβββββββββΌβββββββ@ββββββββββββRz(-1.97Ο)βββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββX^0.5ββββββββββββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(-1.08Ο)ββββββββββββββββββββββββββββββββββiSwap^-0.977βββ@^-0.163βββββββRz(1.51Ο)βββββX^0.5ββββββββββRz(1.26Ο)βββββiSwapβββββββββββββ@βββββββββββββββββββββββββRz(-1.29Ο)βββββββββββββββX^0.5βββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββββββββββRz(-0.162Ο)βββββββββΌββββββββββββββββββββββββββββiSwap^-0.963βΌβββββββββββββββββββββΌβββββββββββββββββββββββ@^-0.163βΌββββββββββββββββββββββββββRz(1.32Ο)βββββββββββββββββX^0.5ββββββΌββββββββββββΌββββββββββββββββRz(1.23Ο)ββΌβββββββββΌββββββββββββiSwapβββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββΌβββββββββββRz(-1.37Ο)ββββββββββββββββββΌβββββββββββY^0.5βββββββββββββββRz(-1.83Ο)ββββββββββββββiSwap^-0.977βββββββββ@^-0.163βββββRz(-1.74Ο)βββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββRz(0.964Ο)ββββiSwapββββββββββββ@βββββββββββββRz(-0.993Ο)ββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(5, 6): βββY^0.5βββX^0.5βββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(1.85Ο)βββββββββββββββββββββββββββββββiSwap^(-13/14)βββ@^(-1/6)βββββRz(1.61Ο)ββββββX^0.5βββββββββRz(0.089Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1ββββββββββββββββββββββββββββββββββββββββββ@^-0.165ββββββββββββββββΌββββββββββββββββRz(1.35Ο)βββΌββββββββββββY^0.5βββββββββX^0.5βββββββββββΌββββββββββββΌββββββββββββΌββββββββββββΌβββββββββX^0.5ββββββΌβββββββββββΌββββββββΌββββββββΌβββββββH^0.5βββββββββX^-0.5βββββββββββββββββββββββββββββββββββRz(-1.85Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^(-13/14)βββ@^(-1/6)ββββββRz(1.31Ο)βββββββY^0.5ββββββββββββββββββββββRz(1.43Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββiSwap^-1βββββββββββββΌβββββββββββββββββββββββ@^-0.165ββββββββββββββββββRz(0.014Ο)ββββββββββββββX^0.5ββββββββΌββββββββββββββΌββββββββββββΌββββββββββββββH^0.5βββββββΌβββββββββΌββββββββΌββββββββββββX^-0.5βββββββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββY^0.5ββββββββββββββββββββX^0.5βββββββββRz(-1.55Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^(-13/14)ββββ@^(-1/6)ββββββββββββββββββRz(1.01Ο)ββββββββββββββββX^0.5βββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββββββββββRz(-1.23Ο)ββββββββββΌββββββββββββββββββββββββββββββββββββββββiSwap^-1ββββββββββββββΌβββββββββββββββββββββββββββββββ@^-0.165βββββββββββββββββββRz(-1.33Ο)ββββββββββββββββX^0.5ββββββΌββββββββββββΌββββββββββββββββX^0.5ββββββΌβββββββββΌβββββββββββββΌββββββββββH^0.5βββββββββββββββββββββββββββΌββββββββββX^-0.5ββββββββββββββββΌβββββββββββX^0.5βββββββββββββββββββββββΌβββββββββββRz(-1.25Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^(-13/14)βββ@^(-1/6)ββββββRz(0.706Ο)βββββX^0.5ββββββββH^0.5βββββββββX^-0.5βββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(6, 1): βββX^0.5βββY^0.5βββββββββRz(-1.75Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(-0.545Ο)βββββX^0.5βββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββββββββX^0.5βββββββββββββββββββRz(-1.93Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.804ββββββββββββββββ@^-0.106βββββRz(-1.89Ο)ββββY^0.5βββββββββββΌββββββββββββΌββββββββββββΌββββββββββββΌβββββββββX^0.5ββββββΌβββββββββββΌββββββββΌββββββββΌβββββββRz(1.51Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββ@ββββββββββββββββββββββββββRz(0.199Ο)ββββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5βββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββRz(-0.596Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.804βββββββββββββββββββββββββββββββββββββ@^-0.106βββββRz(0.775Ο)βββββββββββββββββββββββββββY^0.5βββββββββββββββββββX^0.5ββββββββΌββββββββββββββΌββββββββββββΌββββββββββββββRz(0.765Ο)ββΌβββββββββΌββββββββΌβββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@βββββββββββββRz(0.943Ο)ββββββββX^0.5βββββββββββββββββββββH^0.5ββββββββββββββββββββX^-0.5ββββββββββββββββββββββX^0.5βββββββββββββββββββRz(0.74Ο)βββββββββββββββββββββββββββββββββββββββiSwap^-0.804ββββββββββββββββββββββββββββββββββββββββββββββββββ@^-0.106βββββRz(-0.561Ο)βββββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββX^0.5ββββββΌββββββββββββΌββββββββββββββββRz(0.021Ο)βΌβββββββββΌβββββββββββββΌββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββRz(1.69Ο)βββββX^0.5ββββββH^0.5ββββββββX^-0.5βββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(6, 2): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(-0.408Ο)βββiSwapββββββββββ@ββββββββββRz(0.471Ο)ββββY^0.5ββββββββββββRz(1.46Ο)ββββiSwap^-0.949βββ@^-0.145ββββββRz(0.262Ο)ββββββX^0.5βββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββββββββRz(-0.982Ο)βββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββRz(-1.63Ο)ββββββββββββββX^0.5βββββββββRz(-1.61Ο)βββββiSwap^-0.971βΌββββββββββββΌββββββββββββΌβββββββββββββββββββ@^(-2/13)βββΌββββββββΌββββββββΌβββββββββββββββββββββRz(-1.97Ο)βββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(-1.29Ο)βββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(1.36Ο)βββββX^0.5ββββββββββββRz(-1.79Ο)ββββiSwap^-0.949ββββ@^-0.145βββββββββββββββββββRz(-0.482Ο)βββββββββββββY^0.5ββββββββRz(1.08Ο)βββββββββββββββββiSwapββββββββββββββββββββββββββββ@βββββββββββββββββββββββRz(0.307Ο)βββββββββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββββββββH^0.5ββββββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββRz(-0.41Ο)ββββββββββββββββββββββββββiSwap^-0.971βββΌββββββββββββΌβββββββββββββββββββββββββ@^(-2/13)βΌββββββββΌββββββββββββRz(0.835Ο)βββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββX^0.5ββββββββββββββββββββRz(1.82Ο)ββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(-1.76Ο)βββββY^0.5ββββββββββRz(-1.05Ο)ββββiSwap^-0.949βββ@^-0.145ββββββRz(-1.23Ο)ββββββββX^0.5βββββββββββββββββββββRz(-0.854Ο)βββββββββββββββββββββββββiSwapβββββββββββββββββββββββ@ββββββββββββRz(-1.76Ο)βββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββRz(0.786Ο)ββββββββββββββββββββββββββiSwap^-0.971βΌββββββββββββββββββββββββββ@^(-2/13)βΌβββββββββββββΌββββββββββRz(-0.361Ο)βββββββββββββββββββββΌββββββββββX^0.5βββββββββββββββββΌβββββββββββRz(0.94Ο)βββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββ@ββββββββββββββRz(-0.877Ο)βββY^0.5ββββββββββββRz(-0.304Ο)βββiSwap^-0.949βββ@^-0.145βββββRz(-1.97Ο)ββββX^0.5ββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(6, 3): βββX^0.5βββRz(0.367Ο)βββββββββββββββββββββββββββββββββββiSwap^-0.966βββ@^-0.147βββRz(-0.513Ο)βββY^0.5ββββββββββββRz(-1.69Ο)βββiSwapββββββββββ@βββββββββββββRz(1.65Ο)βββββββX^0.5βββββββββββββββββββββRz(1.7Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββΌβββββββ@ββββββββββββββββββββββββββββββββββββββββββββββββββββββββRz(-1.76Ο)ββββββββββββββY^0.5βββββββββRz(1.78Ο)ββββββββββββββββββiSwap^-0.989βΌββββββββββββΌββββββββββββββββββββββββββββββ@^-0.165βΌββββββββΌβββββββββββββββββββββRz(1.55Ο)ββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.25Ο)βββββiSwap^-0.966βββ@^-0.147βββββββRz(-1.4Ο)βββββX^0.5ββββββββββββRz(-0.132Ο)βββiSwapβββββββββββ@ββββββββββββββββββββββββββRz(0.096Ο)ββββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββΌβββββββββββββββββββββRz(-1.42Ο)ββΌβββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββββββββββββββββββRz(1.36Ο)ββββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββRz(-1.03Ο)ββββββββββββββββββββββββββββββββββββββββiSwap^-0.989βΌββββββββββββββββββββββββββββββββββ@^-0.165βΌββββββββββββRz(0.355Ο)βββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββX^0.5ββββββββββββββββββββH^0.5βββββββββX^-0.5βββββββββββRz(-1.87Ο)ββββiSwap^-0.966βββ@^-0.147βββββββRz(1.72Ο)ββββββX^0.5ββββββββββRz(1.42Ο)ββββββββββββββββββββββββββββββββββiSwapβββββββββββββ@βββββββββββββββββββββββββRz(-1.46Ο)βββββββββββββββX^0.5βββββββΌββββββββββββββββH^0.5βββββββΌββββββββββββX^-0.5βββββββββββββββββββββββRz(-0.539Ο)βββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββββββββββββββββββββββββββββ@βββββββββββββββββββββββββββββββββββββββββββββRz(0.479Ο)ββββββββββββββββY^0.5ββββββββββββββββββΌββββββββββββββββRz(0.166Ο)ββββββββββΌβββββββββββββΌββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββiSwap^-0.989βββββββββββββββββββββββββββ@^-0.165ββββββββββββββββββββββββRz(-0.837Ο)βββββββββββββX^0.5ββββββββββββββββH^0.5ββββββββX^-0.5βββββββββββRz(-0.981Ο)βββiSwap^-0.966βββ@^-0.147βββββββRz(0.835Ο)ββββY^0.5ββββββββββββRz(-1.02Ο)ββββiSwapββββββββββ@ββββββββββββRz(0.987Ο)ββββX^0.5ββββββH^0.5ββββββββX^-0.5βββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(6, 4): βββX^0.5βββRz(-0.351Ο)βββiSwapββββββββββββ@βββββββββββββRz(-1.84Ο)βββββX^0.5ββββββH^0.5βββββββββX^-0.5βββββββββββRz(1.76Ο)ββββiSwap^-0.979βββ@^-0.147ββββββRz(-1.58Ο)ββββββY^0.5βββββββββββββββββββββRz(0.586Ο)ββββββββββββββββββββββββiSwapβββββββββββββββββββββββ@βββββββββββββΌββββββββββββΌβββββββββββRz(0.014Ο)ββββββββββββββββββββββββββββΌββββββββΌβββββββX^0.5ββββββββββββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5ββββββββRz(-1.93Ο)βββββββββββββββββββββββββββββiSwap^-0.962βΌββββββββββββββββββββββββββββββββββββββ@^-0.157βΌβββββββββββββββββββββRz(1.11Ο)ββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(1.65Ο)βββββiSwapββββββββββββ@βββββββββββββRz(0.163Ο)βββββX^0.5ββββββββββRz(0.207Ο)βββββββββββββββββββββββββββββββββββiSwap^-0.979ββββ@^-0.147βββββββββββββββββββRz(-0.021Ο)βββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββΌβββββββββββββββββββββRz(-1.13Ο)ββΌββββββββββββββββββββββββΌβββββββββββiSwapβββββββββββββββββββββββββββββββββΌββββββββββ@ββββββββββββββββββββββββββββββββββββRz(1.73Ο)ββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββRz(-0.069Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββiSwap^-0.962βββββββββββββββββββββββββ@^-0.157βββββββββββββββββββββββββββββRz(-0.752Ο)βββY^0.5ββββββββββββRz(-0.348Ο)βββiSwapββββββββββ@ββββββββββββββRz(-1.84Ο)βββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββRz(-1.35Ο)ββββiSwap^-0.979ββββββ@^-0.147ββββββββββββββββββRz(1.53Ο)ββββββββββββββββY^0.5βββββββΌββββββββββββββββRz(1.16Ο)βββΌββββββββββββiSwapββββββββββββββββββββββββ@ββββββββββββββββββββββββββββββββββββΌβββββββββββRz(-0.557Ο)ββββββββββββββββββββββββββββββββββββΌββββββββββX^0.5ββββββββββββββββββββββββββββββRz(1.79Ο)βββββββββββββββββββββββββββββββββββββββiSwap^-0.962ββββββββββββββββββββββββ@^-0.157ββββββΌββββββββββRz(1.39Ο)βββββββββββββββββββββββΌββββββββββY^0.5ββββββββββββββββRz(1.65Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββ@βββββββββββββRz(0.16Ο)ββββββX^0.5ββββββββββRz(1.1Ο)βββββββββββββββββββββββββββββββββββββiSwap^-0.979βββ@^-0.147βββββRz(-0.912Ο)βββX^0.5ββββββH^0.5ββββββββX^-0.5βββ
β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β β
(6, 5): βββX^0.5βββRz(0.376Ο)ββββiSwap^-1βββββββββ@^(-2/13)βββββRz(1.86Ο)ββββββY^0.5ββββββX^0.5βββββββββX^0.5ββββββββββββH^0.5ββββββββX^-0.5βββββββββRz(1.61Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββββββββΌββββββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββΌβββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.0βββββββββββββββββββββββββββββββββββββ@^-0.162ββββββββββββββRz(-1.39Ο)βββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββRz(-1.63Ο)ββββiSwap^-1βββββββββ@^(-2/13)βββββRz(-0.138Ο)ββββX^0.5ββββββββββH^0.5βββββββββX^-0.5βββββββββββY^0.5βββββββββX^0.5βββββββββββRz(-1.79Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββΌββββββββββββΌβββββββββββββββββββββββββββββββββββββΌβββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.0βββββββββββββββββββββββββββββββββ@^-0.162βββββRz(-1.99Ο)βββββββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββRz(0.373Ο)βββββββββββββββββββββββββββββββββββiSwap^-1βββββββ@^(-2/13)ββββββRz(1.86Ο)ββββββX^0.5ββββββββββY^0.5βββββββββX^0.5ββββββββββRz(-1.19Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌβββββββββββββΌβββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.0ββββββββββββββββββββββββββββββββ@^-0.162ββββββββββββββββββββββββRz(1.41Ο)ββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββββββββββββRz(-1.63Ο)βββiSwap^-1βββββββββ@^(-2/13)βββββRz(-0.136Ο)ββββY^0.5ββββββββββX^0.5βββββββββH^0.5ββββββββββββX^-0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β
(7, 2): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(-1.42Ο)ββββiSwapββββββββββ@ββββββββββRz(1.28Ο)βββββX^0.5ββββββββββββX^0.5ββββββββH^0.5ββββββββββX^-0.5ββββββββRz(0.999Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌββββββββββββββββββββββββββββΌββββββββββββiSwap^-1.02ββΌββββββββββββββββββββββββββββββββββββββββββββββββ@^-0.162βΌββββββββββββββββββββββββββββββββββββββββββββββββββββββββRz(1.65Ο)βββββββββββββββX^0.5βββββββββY^0.5ββββββββββRz(0.513Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββ@βββββββββββββRz(-0.655Ο)ββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββY^0.5βββββββββRz(-1.07Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.02ββββββββββββββββββββββ@^-0.162βββββββββββββββββΌββββββββββββΌβββββββββββRz(-0.289Ο)βββββββββββββββΌβββββββββββΌβββββββX^0.5ββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββRz(-1.55Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapββββββββββββββββββββββββββββββββ@βββββββββββββRz(1.41Ο)ββββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5βββββββββX^0.5ββββββββββRz(0.871Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-1.02βββββββββββββββββ@^-0.162ββββββΌβββββββββββRz(1.77Ο)βββββββββΌββββββββββX^0.5βββββββββββββββββββββΌβββββββββββH^0.5ββββββββββββββββββββββββββββββββββββββββββΌββββββββββX^-0.5βββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββRz(0.377Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwapβββββββββββββββββββββββββββ@βββββββββββββββββββββββRz(-0.519Ο)ββββββββββX^0.5ββββββββH^0.5ββββββββββββX^-0.5ββββββββY^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β β β β β β β
(7, 3): βββX^0.5βββH^0.5βββββββββX^-0.5βββββββββββRz(1.51Ο)βββββiSwap^-0.988βββ@^-0.161βββRz(-1.19Ο)ββββX^0.5ββββββββββββRz(1.43Ο)ββββiSwapββββββββββ@βββββββββββββRz(-1.87Ο)ββββββX^0.5βββββββββββββββββββββH^0.5βββββββββββββββββββX^-0.5βββββΌββββββββββββββββRz(-1.68Ο)ββΌββββββββββββββββββββββββiSwap^-0.978βββββββββββββββββββββββββββββββββββββββββββββ@^-0.178βββββββββββββββββββββββββββββββββββββββββββββββββRz(1.78Ο)βββββββββββββββY^0.5βββββββββX^0.5ββββββββββH^0.5βββββββββββββββββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββββββββββββββRz(-0.422Ο)ββββββββββββββββββββββββββββββiSwap^-0.988ββββββββββββββββββββ@^-0.161ββββββRz(0.746Ο)βββββββY^0.5βββββββββRz(0.386Ο)βββββiSwapββββββββββ@βββββββββββββRz(-0.826Ο)ββββββX^0.5βββββββββH^0.5βββββββββββX^-0.5βββββββββββββββββββββRz(1.44Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.978βΌββββββββββββββββββββββββββββββββββββ@^-0.178ββββΌββββββββββββββββββββββββββββββββββββRz(-1.34Ο)βββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββH^0.5ββββββββββββββββββββββββββββββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββββββRz(1.65Ο)ββββββββββββββββββββββββββββββββββββββββiSwap^-0.988βββββββββββββββββββββββββ@^-0.161ββββββRz(-1.32Ο)βββββββY^0.5βββββββββRz(-0.654Ο)ββββiSwapββββββββββ@ββββββββββββββRz(0.214Ο)βββββX^0.5βββββββββRz(0.557Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββΌβββββββββββββββββββββββββββββββββββiSwap^-0.978ββββββββββββββββββββββββββββββββββββββββββββββ@^-0.178ββββββββββββββββββββββββββββββββββββββRz(-0.462Ο)βββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββRz(-0.286Ο)ββββββββββββββββββββββββββββiSwap^-0.988ββββββββββββββββββββ@^-0.161ββββββββββββββββRz(0.61Ο)ββββββββββββX^0.5ββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(-1.69Ο)βββββiSwapββββββββββ@βββββββββββββRz(1.25Ο)ββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
β β β β β β β β β β β β β β
(7, 4): βββX^0.5βββX^0.5βββββββββH^0.5ββββββββββββX^-0.5ββββββββRz(-1.53Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.939βββ@^-0.139ββββββRz(1.76Ο)βββββββY^0.5βββββββββββββββββββββRz(-0.765Ο)βββββββββββββββββββββββiSwap^-0.882ββββββββββββββββ@^-0.183βββββRz(-0.193Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββX^0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββX^0.5βββββββββRz(-0.487Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.939βββ@^-0.139ββββββRz(0.725Ο)βββββββX^0.5βββββββββH^0.5βββββββββββX^-0.5βββββββββββββββββββββRz(0.949Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.882ββββββββββββββββββββββββββββββββββββ@^-0.183βββββββββββββββββββββββββββββRz(-1.91Ο)βββββββββββββββββββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββY^0.5ββββββββββββββββββββββββββββββββββββββββββββββββRz(0.553Ο)βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.939βββ@^-0.139βββββββRz(-0.315Ο)ββββX^0.5βββββββββRz(-1.34Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.882βββββββββββββββββ@^-0.183ββββββββββββββββββββββββββββRz(0.378Ο)ββββββββββββββββββββββββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββββββH^0.5βββββββββββββββββββββX^-0.5βββββββββββββββββββββββββββββββββY^0.5βββββββββββββββββββββββββββX^0.5βββββββββββββββββββββββββββββββββββββRz(1.59Ο)ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββiSwap^-0.939βββ@^-0.139ββββββRz(-1.36Ο)βββββββX^0.5βββββββββH^0.5ββββββββββX^-0.5ββββββββββββββββββββββββββββββββββββββββββββββββββββββ
βββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββ ββββββββββββββββββββββββ ββββββββββββββββββββββ ββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββ ββββββββββββββββββββββ βββββββββββββββββββββββββ βββββββββββββββββββββ ββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ ββββββββββββββββββββββββββββββββββββ βββββββββββββββββββββββββββββ βββββββββββββββββββββ βββββββββββββββββββ
Run the circuit
Run the amplitude calculation. It should be a few minutes:
options = {"t": 16, "v": 3}
simulator = qsimcirq.QSimSimulator(options)
wall_start = time.monotonic()
process_start = time.process_time()
results = simulator.compute_amplitudes(
circuit,
bitstrings=[0b11011001001100111101110001000001, 0b11011011000111010001001010001011],
)
wall_end = time.monotonic()
process_end = time.process_time()
print(f"Result: {results}")
total_process_time = process_end - process_start
total_wall_time = wall_end - wall_start
print(f"Wall Time: {total_wall_time} -- Process Time: {total_process_time} ")
Result: [(-3.869717602356104e-06-5.219020749791525e-06j), (7.610328793816734e-06+9.70489600149449e-06j)] Wall Time: 147.6608045989999 -- Process Time: 2295.0433410680002