Properties

Label 546.2.bu.a.71.3
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.3
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.847008 + 1.51082i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.36895 + 1.36895i) q^{5} +(0.427118 - 1.67856i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.56515 - 2.55935i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.847008 + 1.51082i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.36895 + 1.36895i) q^{5} +(0.427118 - 1.67856i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.56515 - 2.55935i) q^{9} +(-1.67662 - 0.967996i) q^{10} +(1.29660 + 4.83896i) q^{11} +(0.0218795 + 1.73191i) q^{12} +(3.60411 + 0.102093i) q^{13} +1.00000i q^{14} +(-3.22776 + 0.908727i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.540322 + 0.935866i) q^{17} +(2.17423 + 2.06705i) q^{18} +(2.27592 + 0.609830i) q^{19} +(1.87002 + 0.501072i) q^{20} +(1.24012 + 1.20918i) q^{21} +(-2.50483 - 4.33849i) q^{22} +(-1.57110 + 2.72123i) q^{23} +(-0.469386 - 1.66724i) q^{24} -1.25194i q^{25} +(-3.50772 + 0.834197i) q^{26} +(5.19242 - 0.196874i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(-0.710895 - 0.410435i) q^{29} +(2.88258 - 1.71317i) q^{30} +(-4.20449 + 4.20449i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-8.40902 - 2.13972i) q^{33} +(-0.764131 - 0.764131i) q^{34} +(1.67662 - 0.967996i) q^{35} +(-2.63514 - 1.43389i) q^{36} +(0.524550 - 0.140553i) q^{37} -2.35620 q^{38} +(-3.20695 + 5.35868i) q^{39} -1.93599 q^{40} +(-5.18191 + 1.38849i) q^{41} +(-1.51082 - 0.847008i) q^{42} +(-4.92064 + 2.84093i) q^{43} +(3.54236 + 3.54236i) q^{44} +(1.36101 - 5.64626i) q^{45} +(0.813262 - 3.03513i) q^{46} +(0.118229 - 0.118229i) q^{47} +(0.884905 + 1.48894i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.324025 + 1.20928i) q^{50} +(-1.87158 + 0.0236440i) q^{51} +(3.17229 - 1.71364i) q^{52} +14.4313i q^{53} +(-4.96454 + 1.53406i) q^{54} +(-4.84933 + 8.39929i) q^{55} +(0.500000 + 0.866025i) q^{56} +(-2.84906 + 2.92197i) q^{57} +(0.792900 + 0.212457i) q^{58} +(1.65760 + 0.444152i) q^{59} +(-2.34095 + 2.40086i) q^{60} +(-4.49739 - 7.78972i) q^{61} +(2.97302 - 5.14943i) q^{62} +(-2.87724 + 0.849414i) q^{63} -1.00000i q^{64} +(4.79409 + 5.07361i) q^{65} +(8.67629 - 0.109609i) q^{66} +(3.08685 + 11.5203i) q^{67} +(0.935866 + 0.540322i) q^{68} +(-2.78055 - 4.67855i) q^{69} +(-1.36895 + 1.36895i) q^{70} +(2.61215 - 9.74866i) q^{71} +(2.91647 + 0.703005i) q^{72} +(1.51217 + 1.51217i) q^{73} +(-0.470299 + 0.271527i) q^{74} +(1.89145 + 1.06040i) q^{75} +(2.27592 - 0.609830i) q^{76} +5.00966 q^{77} +(1.71075 - 6.00611i) q^{78} -1.54869 q^{79} +(1.87002 - 0.501072i) q^{80} +(-4.10058 + 8.01157i) q^{81} +(4.64597 - 2.68235i) q^{82} +(0.338916 + 0.338916i) q^{83} +(1.67856 + 0.427118i) q^{84} +(-0.541480 + 2.02083i) q^{85} +(4.01769 - 4.01769i) q^{86} +(1.22223 - 0.726392i) q^{87} +(-4.33849 - 2.50483i) q^{88} +(-4.35686 - 16.2600i) q^{89} +(0.146723 + 5.80612i) q^{90} +(1.03143 - 3.45488i) q^{91} +3.14220i q^{92} +(-2.79099 - 9.91347i) q^{93} +(-0.0836003 + 0.144800i) q^{94} +(2.28079 + 3.95045i) q^{95} +(-1.24012 - 1.20918i) q^{96} +(4.07964 + 1.09314i) q^{97} +(0.965926 + 0.258819i) q^{98} +(10.3552 - 10.8922i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −0.847008 + 1.51082i −0.489020 + 0.872272i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.36895 + 1.36895i 0.612214 + 0.612214i 0.943523 0.331308i \(-0.107490\pi\)
−0.331308 + 0.943523i \(0.607490\pi\)
\(6\) 0.427118 1.67856i 0.174370 0.685270i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.56515 2.55935i −0.521718 0.853118i
\(10\) −1.67662 0.967996i −0.530193 0.306107i
\(11\) 1.29660 + 4.83896i 0.390938 + 1.45900i 0.828590 + 0.559856i \(0.189144\pi\)
−0.437651 + 0.899145i \(0.644190\pi\)
\(12\) 0.0218795 + 1.73191i 0.00631608 + 0.499960i
\(13\) 3.60411 + 0.102093i 0.999599 + 0.0283155i
\(14\) 1.00000i 0.267261i
\(15\) −3.22776 + 0.908727i −0.833403 + 0.234632i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.540322 + 0.935866i 0.131047 + 0.226981i 0.924081 0.382198i \(-0.124833\pi\)
−0.793033 + 0.609178i \(0.791499\pi\)
\(18\) 2.17423 + 2.06705i 0.512472 + 0.487209i
\(19\) 2.27592 + 0.609830i 0.522131 + 0.139905i 0.510252 0.860025i \(-0.329552\pi\)
0.0118790 + 0.999929i \(0.496219\pi\)
\(20\) 1.87002 + 0.501072i 0.418150 + 0.112043i
\(21\) 1.24012 + 1.20918i 0.270616 + 0.263864i
\(22\) −2.50483 4.33849i −0.534032 0.924970i
\(23\) −1.57110 + 2.72123i −0.327597 + 0.567415i −0.982035 0.188701i \(-0.939572\pi\)
0.654437 + 0.756116i \(0.272906\pi\)
\(24\) −0.469386 1.66724i −0.0958130 0.340323i
\(25\) 1.25194i 0.250387i
\(26\) −3.50772 + 0.834197i −0.687921 + 0.163599i
\(27\) 5.19242 0.196874i 0.999282 0.0378884i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) −0.710895 0.410435i −0.132010 0.0762159i 0.432541 0.901614i \(-0.357617\pi\)
−0.564551 + 0.825398i \(0.690951\pi\)
\(30\) 2.88258 1.71317i 0.526284 0.312780i
\(31\) −4.20449 + 4.20449i −0.755149 + 0.755149i −0.975435 0.220286i \(-0.929301\pi\)
0.220286 + 0.975435i \(0.429301\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −8.40902 2.13972i −1.46382 0.372477i
\(34\) −0.764131 0.764131i −0.131047 0.131047i
\(35\) 1.67662 0.967996i 0.283400 0.163621i
\(36\) −2.63514 1.43389i −0.439190 0.238981i
\(37\) 0.524550 0.140553i 0.0862355 0.0231067i −0.215443 0.976516i \(-0.569120\pi\)
0.301679 + 0.953410i \(0.402453\pi\)
\(38\) −2.35620 −0.382227
\(39\) −3.20695 + 5.35868i −0.513523 + 0.858076i
\(40\) −1.93599 −0.306107
\(41\) −5.18191 + 1.38849i −0.809278 + 0.216845i −0.639654 0.768663i \(-0.720922\pi\)
−0.169625 + 0.985509i \(0.554256\pi\)
\(42\) −1.51082 0.847008i −0.233125 0.130696i
\(43\) −4.92064 + 2.84093i −0.750391 + 0.433239i −0.825835 0.563912i \(-0.809296\pi\)
0.0754441 + 0.997150i \(0.475963\pi\)
\(44\) 3.54236 + 3.54236i 0.534032 + 0.534032i
\(45\) 1.36101 5.64626i 0.202888 0.841694i
\(46\) 0.813262 3.03513i 0.119909 0.447506i
\(47\) 0.118229 0.118229i 0.0172454 0.0172454i −0.698431 0.715677i \(-0.746118\pi\)
0.715677 + 0.698431i \(0.246118\pi\)
\(48\) 0.884905 + 1.48894i 0.127725 + 0.214910i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 0.324025 + 1.20928i 0.0458240 + 0.171018i
\(51\) −1.87158 + 0.0236440i −0.262074 + 0.00331082i
\(52\) 3.17229 1.71364i 0.439918 0.237639i
\(53\) 14.4313i 1.98229i 0.132795 + 0.991144i \(0.457605\pi\)
−0.132795 + 0.991144i \(0.542395\pi\)
\(54\) −4.96454 + 1.53406i −0.675588 + 0.208760i
\(55\) −4.84933 + 8.39929i −0.653884 + 1.13256i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) −2.84906 + 2.92197i −0.377368 + 0.387024i
\(58\) 0.792900 + 0.212457i 0.104113 + 0.0278970i
\(59\) 1.65760 + 0.444152i 0.215801 + 0.0578237i 0.365100 0.930968i \(-0.381035\pi\)
−0.149299 + 0.988792i \(0.547702\pi\)
\(60\) −2.34095 + 2.40086i −0.302216 + 0.309950i
\(61\) −4.49739 7.78972i −0.575832 0.997371i −0.995951 0.0899015i \(-0.971345\pi\)
0.420118 0.907469i \(-0.361989\pi\)
\(62\) 2.97302 5.14943i 0.377574 0.653978i
\(63\) −2.87724 + 0.849414i −0.362498 + 0.107016i
\(64\) 1.00000i 0.125000i
\(65\) 4.79409 + 5.07361i 0.594634 + 0.629304i
\(66\) 8.67629 0.109609i 1.06798 0.0134919i
\(67\) 3.08685 + 11.5203i 0.377118 + 1.40742i 0.850225 + 0.526420i \(0.176466\pi\)
−0.473107 + 0.881005i \(0.656867\pi\)
\(68\) 0.935866 + 0.540322i 0.113490 + 0.0655237i
\(69\) −2.78055 4.67855i −0.334739 0.563232i
\(70\) −1.36895 + 1.36895i −0.163621 + 0.163621i
\(71\) 2.61215 9.74866i 0.310005 1.15695i −0.618546 0.785748i \(-0.712278\pi\)
0.928551 0.371205i \(-0.121055\pi\)
\(72\) 2.91647 + 0.703005i 0.343709 + 0.0828499i
\(73\) 1.51217 + 1.51217i 0.176986 + 0.176986i 0.790040 0.613055i \(-0.210059\pi\)
−0.613055 + 0.790040i \(0.710059\pi\)
\(74\) −0.470299 + 0.271527i −0.0546711 + 0.0315644i
\(75\) 1.89145 + 1.06040i 0.218406 + 0.122444i
\(76\) 2.27592 0.609830i 0.261066 0.0699523i
\(77\) 5.00966 0.570904
\(78\) 1.71075 6.00611i 0.193704 0.680058i
\(79\) −1.54869 −0.174241 −0.0871205 0.996198i \(-0.527767\pi\)
−0.0871205 + 0.996198i \(0.527767\pi\)
\(80\) 1.87002 0.501072i 0.209075 0.0560215i
\(81\) −4.10058 + 8.01157i −0.455620 + 0.890174i
\(82\) 4.64597 2.68235i 0.513062 0.296216i
\(83\) 0.338916 + 0.338916i 0.0372008 + 0.0372008i 0.725463 0.688262i \(-0.241626\pi\)
−0.688262 + 0.725463i \(0.741626\pi\)
\(84\) 1.67856 + 0.427118i 0.183146 + 0.0466024i
\(85\) −0.541480 + 2.02083i −0.0587318 + 0.219190i
\(86\) 4.01769 4.01769i 0.433239 0.433239i
\(87\) 1.22223 0.726392i 0.131037 0.0778774i
\(88\) −4.33849 2.50483i −0.462485 0.267016i
\(89\) −4.35686 16.2600i −0.461826 1.72356i −0.667202 0.744877i \(-0.732508\pi\)
0.205376 0.978683i \(-0.434158\pi\)
\(90\) 0.146723 + 5.80612i 0.0154659 + 0.612019i
\(91\) 1.03143 3.45488i 0.108123 0.362169i
\(92\) 3.14220i 0.327597i
\(93\) −2.79099 9.91347i −0.289412 1.02798i
\(94\) −0.0836003 + 0.144800i −0.00862272 + 0.0149350i
\(95\) 2.28079 + 3.95045i 0.234005 + 0.405308i
\(96\) −1.24012 1.20918i −0.126569 0.123411i
\(97\) 4.07964 + 1.09314i 0.414225 + 0.110991i 0.459912 0.887965i \(-0.347881\pi\)
−0.0456868 + 0.998956i \(0.514548\pi\)
\(98\) 0.965926 + 0.258819i 0.0975732 + 0.0261447i
\(99\) 10.3552 10.8922i 1.04074 1.09470i
\(100\) −0.625968 1.08421i −0.0625968 0.108421i
\(101\) 6.25605 10.8358i 0.622501 1.07820i −0.366518 0.930411i \(-0.619450\pi\)
0.989018 0.147792i \(-0.0472165\pi\)
\(102\) 1.80169 0.507239i 0.178394 0.0502242i
\(103\) 1.28719i 0.126830i −0.997987 0.0634152i \(-0.979801\pi\)
0.997987 0.0634152i \(-0.0201992\pi\)
\(104\) −2.62068 + 2.47630i −0.256979 + 0.242821i
\(105\) 0.0423586 + 3.35297i 0.00413378 + 0.327216i
\(106\) −3.73509 13.9395i −0.362784 1.35393i
\(107\) 4.87154 + 2.81258i 0.470949 + 0.271903i 0.716637 0.697446i \(-0.245680\pi\)
−0.245688 + 0.969349i \(0.579014\pi\)
\(108\) 4.39833 2.76671i 0.423230 0.266227i
\(109\) 13.5487 13.5487i 1.29773 1.29773i 0.367834 0.929891i \(-0.380099\pi\)
0.929891 0.367834i \(-0.119901\pi\)
\(110\) 2.51020 9.36819i 0.239338 0.893221i
\(111\) −0.231948 + 0.911550i −0.0220155 + 0.0865205i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −11.4378 + 6.60364i −1.07598 + 0.621218i −0.929809 0.368041i \(-0.880029\pi\)
−0.146172 + 0.989259i \(0.546695\pi\)
\(114\) 1.99572 3.55980i 0.186917 0.333406i
\(115\) −5.87600 + 1.57447i −0.547939 + 0.146820i
\(116\) −0.820871 −0.0762159
\(117\) −5.37969 9.38397i −0.497353 0.867549i
\(118\) −1.71607 −0.157977
\(119\) 1.04382 0.279691i 0.0956870 0.0256393i
\(120\) 1.63980 2.92494i 0.149693 0.267009i
\(121\) −12.2081 + 7.04835i −1.10983 + 0.640759i
\(122\) 6.36028 + 6.36028i 0.575832 + 0.575832i
\(123\) 2.29136 9.00499i 0.206605 0.811953i
\(124\) −1.53895 + 5.74344i −0.138202 + 0.515776i
\(125\) 8.55861 8.55861i 0.765505 0.765505i
\(126\) 2.55935 1.56515i 0.228005 0.139435i
\(127\) 12.1302 + 7.00340i 1.07638 + 0.621451i 0.929919 0.367765i \(-0.119877\pi\)
0.146466 + 0.989216i \(0.453210\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −0.124317 9.84050i −0.0109455 0.866408i
\(130\) −5.94388 3.65993i −0.521313 0.320997i
\(131\) 1.86345i 0.162810i 0.996681 + 0.0814051i \(0.0259407\pi\)
−0.996681 + 0.0814051i \(0.974059\pi\)
\(132\) −8.35229 + 2.35146i −0.726973 + 0.204669i
\(133\) 1.17810 2.04053i 0.102154 0.176937i
\(134\) −5.96333 10.3288i −0.515153 0.892272i
\(135\) 7.37769 + 6.83867i 0.634971 + 0.588579i
\(136\) −1.04382 0.279691i −0.0895070 0.0239833i
\(137\) 15.0687 + 4.03765i 1.28741 + 0.344959i 0.836675 0.547700i \(-0.184497\pi\)
0.450731 + 0.892660i \(0.351163\pi\)
\(138\) 3.89670 + 3.79948i 0.331709 + 0.323433i
\(139\) 4.68734 + 8.11872i 0.397575 + 0.688620i 0.993426 0.114475i \(-0.0365184\pi\)
−0.595851 + 0.803095i \(0.703185\pi\)
\(140\) 0.967996 1.67662i 0.0818106 0.141700i
\(141\) 0.0784817 + 0.278763i 0.00660935 + 0.0234761i
\(142\) 10.0926i 0.846949i
\(143\) 4.17904 + 17.5725i 0.349469 + 1.46949i
\(144\) −2.99904 + 0.0757869i −0.249920 + 0.00631558i
\(145\) −0.411315 1.53505i −0.0341578 0.127479i
\(146\) −1.85202 1.06926i −0.153274 0.0884929i
\(147\) 1.48894 0.884905i 0.122806 0.0729857i
\(148\) 0.383997 0.383997i 0.0315644 0.0315644i
\(149\) 2.84144 10.6044i 0.232780 0.868746i −0.746357 0.665546i \(-0.768199\pi\)
0.979137 0.203201i \(-0.0651344\pi\)
\(150\) −2.10145 0.534724i −0.171583 0.0436601i
\(151\) 14.2677 + 14.2677i 1.16109 + 1.16109i 0.984237 + 0.176854i \(0.0565919\pi\)
0.176854 + 0.984237i \(0.443408\pi\)
\(152\) −2.04053 + 1.17810i −0.165509 + 0.0955566i
\(153\) 1.54952 2.84765i 0.125272 0.230219i
\(154\) −4.83896 + 1.29660i −0.389934 + 0.104483i
\(155\) −11.5115 −0.924626
\(156\) −0.0979600 + 6.24423i −0.00784308 + 0.499938i
\(157\) 1.60781 0.128317 0.0641585 0.997940i \(-0.479564\pi\)
0.0641585 + 0.997940i \(0.479564\pi\)
\(158\) 1.49592 0.400830i 0.119009 0.0318883i
\(159\) −21.8030 12.2234i −1.72909 0.969379i
\(160\) −1.67662 + 0.967996i −0.132548 + 0.0765268i
\(161\) 2.22187 + 2.22187i 0.175108 + 0.175108i
\(162\) 1.88731 8.79989i 0.148281 0.691385i
\(163\) 1.98526 7.40908i 0.155497 0.580324i −0.843565 0.537027i \(-0.819547\pi\)
0.999062 0.0432967i \(-0.0137861\pi\)
\(164\) −3.79342 + 3.79342i −0.296216 + 0.296216i
\(165\) −8.58239 14.4407i −0.668138 1.12421i
\(166\) −0.415085 0.239650i −0.0322169 0.0186004i
\(167\) −5.14088 19.1860i −0.397813 1.48466i −0.816936 0.576729i \(-0.804329\pi\)
0.419123 0.907929i \(-0.362338\pi\)
\(168\) −1.73191 + 0.0218795i −0.133620 + 0.00168804i
\(169\) 12.9792 + 0.735908i 0.998396 + 0.0566083i
\(170\) 2.09212i 0.160458i
\(171\) −2.00139 6.77935i −0.153050 0.518430i
\(172\) −2.84093 + 4.92064i −0.216619 + 0.375196i
\(173\) −0.377787 0.654347i −0.0287226 0.0497490i 0.851307 0.524668i \(-0.175811\pi\)
−0.880029 + 0.474919i \(0.842477\pi\)
\(174\) −0.992577 + 1.01798i −0.0752471 + 0.0771726i
\(175\) −1.20928 0.324025i −0.0914128 0.0244940i
\(176\) 4.83896 + 1.29660i 0.364750 + 0.0977346i
\(177\) −2.07503 + 2.12813i −0.155969 + 0.159960i
\(178\) 8.41681 + 14.5783i 0.630867 + 1.09269i
\(179\) 5.46883 9.47230i 0.408760 0.707993i −0.585991 0.810317i \(-0.699295\pi\)
0.994751 + 0.102325i \(0.0326280\pi\)
\(180\) −1.64446 5.57031i −0.122571 0.415186i
\(181\) 21.7176i 1.61425i −0.590378 0.807127i \(-0.701021\pi\)
0.590378 0.807127i \(-0.298979\pi\)
\(182\) −0.102093 + 3.60411i −0.00756764 + 0.267154i
\(183\) 15.5782 0.196802i 1.15157 0.0145480i
\(184\) −0.813262 3.03513i −0.0599545 0.223753i
\(185\) 0.910494 + 0.525674i 0.0669409 + 0.0386483i
\(186\) 5.26169 + 8.85331i 0.385806 + 0.649156i
\(187\) −3.82804 + 3.82804i −0.279934 + 0.279934i
\(188\) 0.0432747 0.161503i 0.00315613 0.0117788i
\(189\) 1.15373 5.06645i 0.0839216 0.368530i
\(190\) −3.22553 3.22553i −0.234005 0.234005i
\(191\) −17.2727 + 9.97242i −1.24981 + 0.721579i −0.971072 0.238788i \(-0.923250\pi\)
−0.278739 + 0.960367i \(0.589917\pi\)
\(192\) 1.51082 + 0.847008i 0.109034 + 0.0611275i
\(193\) 23.9757 6.42428i 1.72581 0.462429i 0.746599 0.665274i \(-0.231685\pi\)
0.979211 + 0.202845i \(0.0650186\pi\)
\(194\) −4.22356 −0.303234
\(195\) −11.7259 + 2.94562i −0.839713 + 0.210940i
\(196\) −1.00000 −0.0714286
\(197\) −20.2111 + 5.41554i −1.43998 + 0.385841i −0.892527 0.450995i \(-0.851069\pi\)
−0.547453 + 0.836836i \(0.684403\pi\)
\(198\) −7.18329 + 13.2012i −0.510494 + 0.938165i
\(199\) −9.02261 + 5.20920i −0.639596 + 0.369271i −0.784459 0.620181i \(-0.787059\pi\)
0.144863 + 0.989452i \(0.453726\pi\)
\(200\) 0.885252 + 0.885252i 0.0625968 + 0.0625968i
\(201\) −20.0196 5.09409i −1.41208 0.359309i
\(202\) −3.23837 + 12.0858i −0.227851 + 0.850352i
\(203\) −0.580443 + 0.580443i −0.0407391 + 0.0407391i
\(204\) −1.60902 + 0.956267i −0.112654 + 0.0669521i
\(205\) −8.99456 5.19301i −0.628208 0.362696i
\(206\) 0.333149 + 1.24333i 0.0232116 + 0.0866268i
\(207\) 9.42360 0.238138i 0.654985 0.0165517i
\(208\) 1.89047 3.07020i 0.131080 0.212880i
\(209\) 11.8038i 0.816484i
\(210\) −0.908727 3.22776i −0.0627081 0.222736i
\(211\) 1.54901 2.68296i 0.106638 0.184702i −0.807768 0.589500i \(-0.799325\pi\)
0.914406 + 0.404798i \(0.132658\pi\)
\(212\) 7.21563 + 12.4978i 0.495572 + 0.858355i
\(213\) 12.5160 + 12.2037i 0.857580 + 0.836182i
\(214\) −5.43349 1.45590i −0.371426 0.0995233i
\(215\) −10.6252 2.84702i −0.724635 0.194165i
\(216\) −3.53239 + 3.81081i −0.240348 + 0.259293i
\(217\) 2.97302 + 5.14943i 0.201822 + 0.349566i
\(218\) −9.58034 + 16.5936i −0.648863 + 1.12386i
\(219\) −3.56543 + 1.00379i −0.240929 + 0.0678302i
\(220\) 9.69866i 0.653884i
\(221\) 1.85183 + 3.42812i 0.124568 + 0.230600i
\(222\) −0.0118818 0.940522i −0.000797453 0.0631237i
\(223\) −0.441102 1.64622i −0.0295384 0.110239i 0.949583 0.313517i \(-0.101507\pi\)
−0.979121 + 0.203278i \(0.934841\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) −3.20415 + 1.95947i −0.213610 + 0.130632i
\(226\) 9.33895 9.33895i 0.621218 0.621218i
\(227\) −2.39763 + 8.94809i −0.159136 + 0.593905i 0.839579 + 0.543238i \(0.182802\pi\)
−0.998716 + 0.0506680i \(0.983865\pi\)
\(228\) −1.00638 + 3.95503i −0.0666489 + 0.261928i
\(229\) 13.2081 + 13.2081i 0.872816 + 0.872816i 0.992778 0.119962i \(-0.0382774\pi\)
−0.119962 + 0.992778i \(0.538277\pi\)
\(230\) 5.26827 3.04164i 0.347380 0.200560i
\(231\) −4.24322 + 7.56869i −0.279184 + 0.497984i
\(232\) 0.792900 0.212457i 0.0520565 0.0139485i
\(233\) 19.6826 1.28945 0.644724 0.764415i \(-0.276972\pi\)
0.644724 + 0.764415i \(0.276972\pi\)
\(234\) 7.62513 + 7.67185i 0.498471 + 0.501525i
\(235\) 0.323699 0.0211158
\(236\) 1.65760 0.444152i 0.107900 0.0289119i
\(237\) 1.31175 2.33979i 0.0852074 0.151986i
\(238\) −0.935866 + 0.540322i −0.0606632 + 0.0350239i
\(239\) −16.5276 16.5276i −1.06908 1.06908i −0.997430 0.0716537i \(-0.977172\pi\)
−0.0716537 0.997430i \(-0.522828\pi\)
\(240\) −0.826897 + 3.24968i −0.0533760 + 0.209766i
\(241\) 0.895014 3.34024i 0.0576529 0.215164i −0.931090 0.364791i \(-0.881141\pi\)
0.988743 + 0.149627i \(0.0478072\pi\)
\(242\) 9.96787 9.96787i 0.640759 0.640759i
\(243\) −8.63081 12.9811i −0.553667 0.832738i
\(244\) −7.78972 4.49739i −0.498685 0.287916i
\(245\) −0.501072 1.87002i −0.0320123 0.119471i
\(246\) 0.117377 + 9.29120i 0.00748371 + 0.592385i
\(247\) 8.14039 + 2.43025i 0.517960 + 0.154633i
\(248\) 5.94605i 0.377574i
\(249\) −0.799105 + 0.224976i −0.0506412 + 0.0142573i
\(250\) −6.05185 + 10.4821i −0.382752 + 0.662947i
\(251\) 9.03954 + 15.6569i 0.570571 + 0.988258i 0.996507 + 0.0835047i \(0.0266114\pi\)
−0.425936 + 0.904753i \(0.640055\pi\)
\(252\) −2.06705 + 2.17423i −0.130212 + 0.136964i
\(253\) −15.2050 4.07417i −0.955930 0.256141i
\(254\) −13.5295 3.62522i −0.848918 0.227467i
\(255\) −2.59447 2.52974i −0.162472 0.158418i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 10.6193 18.3931i 0.662411 1.14733i −0.317569 0.948235i \(-0.602866\pi\)
0.979980 0.199095i \(-0.0638002\pi\)
\(258\) 2.66699 + 9.47302i 0.166040 + 0.589764i
\(259\) 0.543054i 0.0337437i
\(260\) 6.68861 + 1.99683i 0.414810 + 0.123838i
\(261\) 0.0622113 + 2.46183i 0.00385078 + 0.152383i
\(262\) −0.482296 1.79995i −0.0297963 0.111201i
\(263\) −8.58055 4.95399i −0.529100 0.305476i 0.211550 0.977367i \(-0.432149\pi\)
−0.740650 + 0.671891i \(0.765482\pi\)
\(264\) 7.45909 4.43307i 0.459075 0.272837i
\(265\) −19.7557 + 19.7557i −1.21358 + 1.21358i
\(266\) −0.609830 + 2.27592i −0.0373911 + 0.139545i
\(267\) 28.2563 + 7.18994i 1.72926 + 0.440017i
\(268\) 8.43342 + 8.43342i 0.515153 + 0.515153i
\(269\) −21.2435 + 12.2650i −1.29524 + 0.747808i −0.979578 0.201063i \(-0.935560\pi\)
−0.315663 + 0.948871i \(0.602227\pi\)
\(270\) −8.89628 4.69616i −0.541410 0.285799i
\(271\) 15.4032 4.12726i 0.935675 0.250713i 0.241402 0.970425i \(-0.422393\pi\)
0.694273 + 0.719712i \(0.255726\pi\)
\(272\) 1.08064 0.0655237
\(273\) 4.34607 + 4.48461i 0.263036 + 0.271421i
\(274\) −15.6003 −0.942446
\(275\) 6.05807 1.62325i 0.365315 0.0978859i
\(276\) −4.74730 2.66147i −0.285754 0.160202i
\(277\) −12.4005 + 7.15946i −0.745077 + 0.430170i −0.823912 0.566717i \(-0.808213\pi\)
0.0788355 + 0.996888i \(0.474880\pi\)
\(278\) −6.62890 6.62890i −0.397575 0.397575i
\(279\) 17.3415 + 4.18010i 1.03821 + 0.250256i
\(280\) −0.501072 + 1.87002i −0.0299448 + 0.111755i
\(281\) −2.01093 + 2.01093i −0.119962 + 0.119962i −0.764539 0.644577i \(-0.777033\pi\)
0.644577 + 0.764539i \(0.277033\pi\)
\(282\) −0.147957 0.248952i −0.00881069 0.0148249i
\(283\) −18.6556 10.7708i −1.10896 0.640260i −0.170402 0.985375i \(-0.554507\pi\)
−0.938560 + 0.345115i \(0.887840\pi\)
\(284\) −2.61215 9.74866i −0.155002 0.578477i
\(285\) −7.90027 + 0.0998055i −0.467972 + 0.00591197i
\(286\) −8.58474 15.8921i −0.507626 0.939720i
\(287\) 5.36471i 0.316669i
\(288\) 2.87724 0.849414i 0.169543 0.0500522i
\(289\) 7.91610 13.7111i 0.465653 0.806535i
\(290\) 0.794600 + 1.37629i 0.0466605 + 0.0808183i
\(291\) −5.10703 + 5.23771i −0.299379 + 0.307040i
\(292\) 2.06566 + 0.553492i 0.120884 + 0.0323906i
\(293\) 12.9513 + 3.47030i 0.756626 + 0.202737i 0.616455 0.787390i \(-0.288568\pi\)
0.140171 + 0.990127i \(0.455235\pi\)
\(294\) −1.20918 + 1.24012i −0.0705206 + 0.0723252i
\(295\) 1.66115 + 2.87720i 0.0967160 + 0.167517i
\(296\) −0.271527 + 0.470299i −0.0157822 + 0.0273356i
\(297\) 7.68513 + 24.8707i 0.445937 + 1.44314i
\(298\) 10.9785i 0.635966i
\(299\) −5.94023 + 9.64719i −0.343533 + 0.557912i
\(300\) 2.16824 0.0273918i 0.125184 0.00158147i
\(301\) 1.47058 + 5.48826i 0.0847626 + 0.316338i
\(302\) −17.4743 10.0888i −1.00553 0.580545i
\(303\) 11.0720 + 18.6298i 0.636071 + 1.07025i
\(304\) 1.66609 1.66609i 0.0955566 0.0955566i
\(305\) 4.50703 16.8205i 0.258072 0.963138i
\(306\) −0.759698 + 3.15166i −0.0434291 + 0.180169i
\(307\) −12.2012 12.2012i −0.696358 0.696358i 0.267265 0.963623i \(-0.413880\pi\)
−0.963623 + 0.267265i \(0.913880\pi\)
\(308\) 4.33849 2.50483i 0.247209 0.142726i
\(309\) 1.94471 + 1.09026i 0.110631 + 0.0620227i
\(310\) 11.1193 2.97940i 0.631531 0.169218i
\(311\) 10.8848 0.617221 0.308610 0.951189i \(-0.400136\pi\)
0.308610 + 0.951189i \(0.400136\pi\)
\(312\) −1.52150 6.05682i −0.0861382 0.342900i
\(313\) −26.3524 −1.48953 −0.744763 0.667329i \(-0.767438\pi\)
−0.744763 + 0.667329i \(0.767438\pi\)
\(314\) −1.55302 + 0.416131i −0.0876421 + 0.0234836i
\(315\) −5.10161 2.77600i −0.287443 0.156410i
\(316\) −1.34120 + 0.774344i −0.0754486 + 0.0435603i
\(317\) 16.1698 + 16.1698i 0.908185 + 0.908185i 0.996126 0.0879406i \(-0.0280286\pi\)
−0.0879406 + 0.996126i \(0.528029\pi\)
\(318\) 24.2238 + 6.16385i 1.35840 + 0.345652i
\(319\) 1.06434 3.97216i 0.0595914 0.222398i
\(320\) 1.36895 1.36895i 0.0765268 0.0765268i
\(321\) −8.37554 + 4.97773i −0.467477 + 0.277830i
\(322\) −2.72123 1.57110i −0.151648 0.0875541i
\(323\) 0.659010 + 2.45946i 0.0366683 + 0.136848i
\(324\) 0.454576 + 8.98851i 0.0252542 + 0.499362i
\(325\) 0.127814 4.51211i 0.00708984 0.250287i
\(326\) 7.67044i 0.424827i
\(327\) 8.99376 + 31.9454i 0.497356 + 1.76658i
\(328\) 2.68235 4.64597i 0.148108 0.256531i
\(329\) −0.0836003 0.144800i −0.00460904 0.00798308i
\(330\) 12.0275 + 11.7274i 0.662091 + 0.645571i
\(331\) −14.3227 3.83777i −0.787249 0.210943i −0.157271 0.987556i \(-0.550270\pi\)
−0.629978 + 0.776613i \(0.716936\pi\)
\(332\) 0.462967 + 0.124052i 0.0254086 + 0.00680822i
\(333\) −1.18073 1.12252i −0.0647034 0.0615138i
\(334\) 9.93141 + 17.2017i 0.543423 + 0.941235i
\(335\) −11.5450 + 19.9965i −0.630768 + 1.09252i
\(336\) 1.66724 0.469386i 0.0909552 0.0256071i
\(337\) 18.7747i 1.02272i 0.859366 + 0.511361i \(0.170859\pi\)
−0.859366 + 0.511361i \(0.829141\pi\)
\(338\) −12.7274 + 2.64842i −0.692278 + 0.144055i
\(339\) −0.288969 22.8738i −0.0156947 1.24234i
\(340\) 0.541480 + 2.02083i 0.0293659 + 0.109595i
\(341\) −25.7969 14.8938i −1.39698 0.806547i
\(342\) 3.68782 + 6.03036i 0.199415 + 0.326084i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 1.47058 5.48826i 0.0792881 0.295907i
\(345\) 2.59828 10.2112i 0.139887 0.549750i
\(346\) 0.534272 + 0.534272i 0.0287226 + 0.0287226i
\(347\) −8.16785 + 4.71571i −0.438473 + 0.253152i −0.702950 0.711240i \(-0.748134\pi\)
0.264477 + 0.964392i \(0.414801\pi\)
\(348\) 0.695284 1.24019i 0.0372711 0.0664811i
\(349\) 29.6009 7.93153i 1.58450 0.424565i 0.644184 0.764871i \(-0.277197\pi\)
0.940315 + 0.340305i \(0.110530\pi\)
\(350\) 1.25194 0.0669188
\(351\) 18.7341 0.179445i 0.999954 0.00957805i
\(352\) −5.00966 −0.267016
\(353\) −20.9033 + 5.60102i −1.11257 + 0.298112i −0.767873 0.640602i \(-0.778685\pi\)
−0.344696 + 0.938714i \(0.612018\pi\)
\(354\) 1.45353 2.59268i 0.0772541 0.137799i
\(355\) 16.9214 9.76956i 0.898093 0.518514i
\(356\) −11.9032 11.9032i −0.630867 0.630867i
\(357\) −0.461563 + 1.81393i −0.0244285 + 0.0960033i
\(358\) −2.83088 + 10.5650i −0.149616 + 0.558376i
\(359\) 17.6778 17.6778i 0.932998 0.932998i −0.0648939 0.997892i \(-0.520671\pi\)
0.997892 + 0.0648939i \(0.0206709\pi\)
\(360\) 3.03013 + 4.95489i 0.159702 + 0.261145i
\(361\) −11.6466 6.72415i −0.612978 0.353903i
\(362\) 5.62092 + 20.9776i 0.295429 + 1.10256i
\(363\) −0.308429 24.4142i −0.0161883 1.28142i
\(364\) −0.834197 3.50772i −0.0437238 0.183855i
\(365\) 4.14017i 0.216706i
\(366\) −14.9964 + 4.22203i −0.783876 + 0.220689i
\(367\) 9.29298 16.0959i 0.485090 0.840200i −0.514764 0.857332i \(-0.672120\pi\)
0.999853 + 0.0171324i \(0.00545369\pi\)
\(368\) 1.57110 + 2.72123i 0.0818993 + 0.141854i
\(369\) 11.6641 + 11.0891i 0.607210 + 0.577277i
\(370\) −1.01552 0.272109i −0.0527946 0.0141463i
\(371\) 13.9395 + 3.73509i 0.723705 + 0.193916i
\(372\) −7.37380 7.18982i −0.382314 0.372775i
\(373\) 6.06668 + 10.5078i 0.314121 + 0.544073i 0.979250 0.202655i \(-0.0649571\pi\)
−0.665130 + 0.746728i \(0.731624\pi\)
\(374\) 2.70683 4.68837i 0.139967 0.242430i
\(375\) 5.68131 + 20.1797i 0.293381 + 1.04208i
\(376\) 0.167201i 0.00862272i
\(377\) −2.52024 1.55183i −0.129799 0.0799233i
\(378\) 0.196874 + 5.19242i 0.0101261 + 0.267069i
\(379\) −0.775456 2.89404i −0.0398325 0.148657i 0.943146 0.332380i \(-0.107852\pi\)
−0.982978 + 0.183723i \(0.941185\pi\)
\(380\) 3.95045 + 2.28079i 0.202654 + 0.117002i
\(381\) −20.8553 + 12.3947i −1.06845 + 0.634998i
\(382\) 14.1031 14.1031i 0.721579 0.721579i
\(383\) 5.60300 20.9107i 0.286300 1.06848i −0.661585 0.749870i \(-0.730116\pi\)
0.947884 0.318615i \(-0.103218\pi\)
\(384\) −1.67856 0.427118i −0.0856588 0.0217963i
\(385\) 6.85799 + 6.85799i 0.349515 + 0.349515i
\(386\) −21.4960 + 12.4107i −1.09412 + 0.631690i
\(387\) 14.9725 + 8.14716i 0.761096 + 0.414144i
\(388\) 4.07964 1.09314i 0.207113 0.0554956i
\(389\) −35.3336 −1.79148 −0.895742 0.444575i \(-0.853355\pi\)
−0.895742 + 0.444575i \(0.853355\pi\)
\(390\) 10.5640 5.88015i 0.534930 0.297753i
\(391\) −3.39560 −0.171723
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −2.81533 1.57835i −0.142015 0.0796175i
\(394\) 18.1208 10.4620i 0.912911 0.527069i
\(395\) −2.12008 2.12008i −0.106673 0.106673i
\(396\) 3.52181 14.6105i 0.176978 0.734206i
\(397\) 5.30676 19.8051i 0.266338 0.993988i −0.695088 0.718925i \(-0.744634\pi\)
0.961426 0.275063i \(-0.0886989\pi\)
\(398\) 7.36693 7.36693i 0.369271 0.369271i
\(399\) 2.08501 + 3.50825i 0.104381 + 0.175632i
\(400\) −1.08421 0.625968i −0.0542104 0.0312984i
\(401\) −8.51826 31.7906i −0.425381 1.58755i −0.763088 0.646294i \(-0.776318\pi\)
0.337707 0.941251i \(-0.390349\pi\)
\(402\) 20.6559 0.260950i 1.03022 0.0130150i
\(403\) −15.5827 + 14.7242i −0.776229 + 0.733464i
\(404\) 12.5121i 0.622501i
\(405\) −16.5810 + 5.35396i −0.823915 + 0.266040i
\(406\) 0.410435 0.710895i 0.0203696 0.0352811i
\(407\) 1.36026 + 2.35604i 0.0674255 + 0.116784i
\(408\) 1.30669 1.34013i 0.0646908 0.0663462i
\(409\) −23.0665 6.18065i −1.14057 0.305614i −0.361387 0.932416i \(-0.617697\pi\)
−0.779178 + 0.626802i \(0.784363\pi\)
\(410\) 10.0321 + 2.68810i 0.495452 + 0.132756i
\(411\) −18.8635 + 19.3462i −0.930466 + 0.954276i
\(412\) −0.643594 1.11474i −0.0317076 0.0549192i
\(413\) 0.858036 1.48616i 0.0422212 0.0731293i
\(414\) −9.04086 + 2.66903i −0.444334 + 0.131176i
\(415\) 0.927919i 0.0455498i
\(416\) −1.03143 + 3.45488i −0.0505698 + 0.169389i
\(417\) −16.2361 + 0.205114i −0.795087 + 0.0100445i
\(418\) −3.05504 11.4016i −0.149427 0.557669i
\(419\) −22.2097 12.8228i −1.08501 0.626433i −0.152769 0.988262i \(-0.548819\pi\)
−0.932244 + 0.361829i \(0.882152\pi\)
\(420\) 1.71317 + 2.88258i 0.0835940 + 0.140655i
\(421\) −5.05403 + 5.05403i −0.246318 + 0.246318i −0.819458 0.573140i \(-0.805725\pi\)
0.573140 + 0.819458i \(0.305725\pi\)
\(422\) −0.801825 + 2.99245i −0.0390322 + 0.145670i
\(423\) −0.487635 0.117543i −0.0237096 0.00571513i
\(424\) −10.2044 10.2044i −0.495572 0.495572i
\(425\) 1.17164 0.676449i 0.0568331 0.0328126i
\(426\) −15.2480 8.54848i −0.738770 0.414175i
\(427\) −8.68830 + 2.32802i −0.420456 + 0.112661i
\(428\) 5.62516 0.271903
\(429\) −30.0886 8.57026i −1.45269 0.413776i
\(430\) 11.0001 0.530470
\(431\) 12.6301 3.38424i 0.608372 0.163013i 0.0585360 0.998285i \(-0.481357\pi\)
0.549836 + 0.835272i \(0.314690\pi\)
\(432\) 2.42571 4.59521i 0.116707 0.221087i
\(433\) −4.68915 + 2.70728i −0.225346 + 0.130104i −0.608423 0.793613i \(-0.708198\pi\)
0.383077 + 0.923716i \(0.374864\pi\)
\(434\) −4.20449 4.20449i −0.201822 0.201822i
\(435\) 2.66757 + 0.678775i 0.127900 + 0.0325448i
\(436\) 4.95915 18.5078i 0.237500 0.886363i
\(437\) −5.23518 + 5.23518i −0.250433 + 0.250433i
\(438\) 3.18414 1.89239i 0.152144 0.0904220i
\(439\) 32.3470 + 18.6755i 1.54384 + 0.891335i 0.998591 + 0.0530580i \(0.0168968\pi\)
0.545245 + 0.838277i \(0.316437\pi\)
\(440\) −2.51020 9.36819i −0.119669 0.446611i
\(441\) 0.0757869 + 2.99904i 0.00360890 + 0.142812i
\(442\) −2.67600 2.83202i −0.127284 0.134706i
\(443\) 31.1461i 1.47980i −0.672720 0.739898i \(-0.734874\pi\)
0.672720 0.739898i \(-0.265126\pi\)
\(444\) 0.254902 + 0.905400i 0.0120971 + 0.0429684i
\(445\) 16.2949 28.2236i 0.772451 1.33792i
\(446\) 0.852144 + 1.47596i 0.0403502 + 0.0698886i
\(447\) 13.6146 + 13.2749i 0.643949 + 0.627882i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) 14.2072 + 3.80679i 0.670477 + 0.179654i 0.577970 0.816058i \(-0.303845\pi\)
0.0925073 + 0.995712i \(0.470512\pi\)
\(450\) 2.58782 2.72200i 0.121991 0.128316i
\(451\) −13.4377 23.2747i −0.632756 1.09596i
\(452\) −6.60364 + 11.4378i −0.310609 + 0.537991i
\(453\) −33.6408 + 9.47109i −1.58058 + 0.444990i
\(454\) 9.26374i 0.434769i
\(455\) 6.14153 3.31759i 0.287920 0.155531i
\(456\) −0.0515526 4.08074i −0.00241417 0.191098i
\(457\) 2.20870 + 8.24299i 0.103319 + 0.385591i 0.998149 0.0608158i \(-0.0193702\pi\)
−0.894830 + 0.446406i \(0.852704\pi\)
\(458\) −16.1766 9.33954i −0.755881 0.436408i
\(459\) 2.98983 + 4.75303i 0.139553 + 0.221853i
\(460\) −4.30153 + 4.30153i −0.200560 + 0.200560i
\(461\) 1.14954 4.29016i 0.0535396 0.199812i −0.933975 0.357337i \(-0.883685\pi\)
0.987515 + 0.157525i \(0.0503514\pi\)
\(462\) 2.13972 8.40902i 0.0995486 0.391223i
\(463\) −16.3629 16.3629i −0.760446 0.760446i 0.215957 0.976403i \(-0.430713\pi\)
−0.976403 + 0.215957i \(0.930713\pi\)
\(464\) −0.710895 + 0.410435i −0.0330025 + 0.0190540i
\(465\) 9.75034 17.3918i 0.452161 0.806526i
\(466\) −19.0119 + 5.09423i −0.880710 + 0.235985i
\(467\) 35.6614 1.65021 0.825106 0.564978i \(-0.191116\pi\)
0.825106 + 0.564978i \(0.191116\pi\)
\(468\) −9.35093 5.43691i −0.432247 0.251321i
\(469\) 11.9267 0.550722
\(470\) −0.312669 + 0.0837795i −0.0144224 + 0.00386446i
\(471\) −1.36183 + 2.42911i −0.0627496 + 0.111927i
\(472\) −1.48616 + 0.858036i −0.0684062 + 0.0394943i
\(473\) −20.1273 20.1273i −0.925452 0.925452i
\(474\) −0.661473 + 2.59957i −0.0303825 + 0.119402i
\(475\) 0.763468 2.84930i 0.0350303 0.130735i
\(476\) 0.764131 0.764131i 0.0350239 0.0350239i
\(477\) 36.9347 22.5872i 1.69112 1.03420i
\(478\) 20.2421 + 11.6868i 0.925853 + 0.534542i
\(479\) 1.80118 + 6.72208i 0.0822978 + 0.307140i 0.994789 0.101957i \(-0.0325105\pi\)
−0.912491 + 0.409097i \(0.865844\pi\)
\(480\) −0.0423586 3.35297i −0.00193340 0.153041i
\(481\) 1.90488 0.453014i 0.0868552 0.0206557i
\(482\) 3.45807i 0.157511i
\(483\) −5.23879 + 1.47491i −0.238373 + 0.0671105i
\(484\) −7.04835 + 12.2081i −0.320379 + 0.554913i
\(485\) 4.08839 + 7.08130i 0.185644 + 0.321545i
\(486\) 11.6965 + 10.3050i 0.530563 + 0.467443i
\(487\) 20.4001 + 5.46620i 0.924419 + 0.247697i 0.689473 0.724311i \(-0.257842\pi\)
0.234946 + 0.972009i \(0.424509\pi\)
\(488\) 8.68830 + 2.32802i 0.393301 + 0.105385i
\(489\) 9.51226 + 9.27491i 0.430159 + 0.419426i
\(490\) 0.967996 + 1.67662i 0.0437296 + 0.0757419i
\(491\) −4.70139 + 8.14304i −0.212171 + 0.367490i −0.952394 0.304871i \(-0.901387\pi\)
0.740223 + 0.672361i \(0.234720\pi\)
\(492\) −2.51812 8.94423i −0.113526 0.403237i
\(493\) 0.887069i 0.0399516i
\(494\) −8.49200 0.240552i −0.382073 0.0108229i
\(495\) 29.0867 0.735032i 1.30735 0.0330372i
\(496\) 1.53895 + 5.74344i 0.0691009 + 0.257888i
\(497\) −8.74041 5.04628i −0.392061 0.226357i
\(498\) 0.713648 0.424134i 0.0319793 0.0190059i
\(499\) −29.6535 + 29.6535i −1.32747 + 1.32747i −0.419905 + 0.907568i \(0.637937\pi\)
−0.907568 + 0.419905i \(0.862063\pi\)
\(500\) 3.13267 11.6913i 0.140097 0.522850i
\(501\) 33.3410 + 8.48377i 1.48956 + 0.379027i
\(502\) −12.7838 12.7838i −0.570571 0.570571i
\(503\) 17.6305 10.1790i 0.786105 0.453858i −0.0524842 0.998622i \(-0.516714\pi\)
0.838590 + 0.544764i \(0.183381\pi\)
\(504\) 1.43389 2.63514i 0.0638704 0.117378i
\(505\) 23.3979 6.26946i 1.04120 0.278987i
\(506\) 15.7414 0.699789
\(507\) −12.1053 + 18.9858i −0.537614 + 0.843191i
\(508\) 14.0068 0.621451
\(509\) 40.7355 10.9151i 1.80557 0.483801i 0.810745 0.585399i \(-0.199062\pi\)
0.994826 + 0.101598i \(0.0323955\pi\)
\(510\) 3.16082 + 1.77204i 0.139963 + 0.0784673i
\(511\) 1.85202 1.06926i 0.0819285 0.0473014i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 11.9376 + 2.71843i 0.527057 + 0.120021i
\(514\) −5.49693 + 20.5148i −0.242459 + 0.904871i
\(515\) 1.76210 1.76210i 0.0776474 0.0776474i
\(516\) −5.02791 8.45997i −0.221341 0.372429i
\(517\) 0.725399 + 0.418809i 0.0319030 + 0.0184192i
\(518\) 0.140553 + 0.524550i 0.00617553 + 0.0230474i
\(519\) 1.30859 0.0165316i 0.0574407 0.000725658i
\(520\) −6.97752 0.197651i −0.305984 0.00866758i
\(521\) 44.6047i 1.95417i −0.212854 0.977084i \(-0.568276\pi\)
0.212854 0.977084i \(-0.431724\pi\)
\(522\) −0.697259 2.36184i −0.0305182 0.103375i
\(523\) 8.20723 14.2153i 0.358877 0.621593i −0.628896 0.777489i \(-0.716493\pi\)
0.987774 + 0.155896i \(0.0498264\pi\)
\(524\) 0.931723 + 1.61379i 0.0407025 + 0.0704988i
\(525\) 1.51381 1.55255i 0.0660681 0.0677588i
\(526\) 9.57036 + 2.56437i 0.417288 + 0.111812i
\(527\) −6.20662 1.66306i −0.270365 0.0724440i
\(528\) −6.05756 + 6.21257i −0.263621 + 0.270367i
\(529\) 6.56328 + 11.3679i 0.285360 + 0.494258i
\(530\) 13.9694 24.1957i 0.606792 1.05100i
\(531\) −1.45766 4.93755i −0.0632569 0.214271i
\(532\) 2.35620i 0.102154i
\(533\) −18.8179 + 4.47522i −0.815094 + 0.193843i
\(534\) −29.1544 + 0.368312i −1.26163 + 0.0159384i
\(535\) 2.81861 + 10.5192i 0.121859 + 0.454784i
\(536\) −10.3288 5.96333i −0.446136 0.257577i
\(537\) 9.67879 + 16.2855i 0.417671 + 0.702773i
\(538\) 17.3453 17.3453i 0.747808 0.747808i
\(539\) 1.29660 4.83896i 0.0558483 0.208429i
\(540\) 9.80860 + 2.23362i 0.422095 + 0.0961195i
\(541\) 26.3985 + 26.3985i 1.13496 + 1.13496i 0.989341 + 0.145619i \(0.0465173\pi\)
0.145619 + 0.989341i \(0.453483\pi\)
\(542\) −13.8101 + 7.97326i −0.593194 + 0.342481i
\(543\) 32.8113 + 18.3950i 1.40807 + 0.789403i
\(544\) −1.04382 + 0.279691i −0.0447535 + 0.0119917i
\(545\) 37.0949 1.58897
\(546\) −5.35868 3.20695i −0.229330 0.137245i
\(547\) 13.5658 0.580032 0.290016 0.957022i \(-0.406339\pi\)
0.290016 + 0.957022i \(0.406339\pi\)
\(548\) 15.0687 4.03765i 0.643703 0.172480i
\(549\) −12.8975 + 23.7025i −0.550453 + 1.01160i
\(550\) −5.43151 + 3.13589i −0.231601 + 0.133715i
\(551\) −1.36764 1.36764i −0.0582635 0.0582635i
\(552\) 5.27438 + 1.34209i 0.224493 + 0.0571232i
\(553\) −0.400830 + 1.49592i −0.0170450 + 0.0636129i
\(554\) 10.1250 10.1250i 0.430170 0.430170i
\(555\) −1.56540 + 0.930343i −0.0664473 + 0.0394909i
\(556\) 8.11872 + 4.68734i 0.344310 + 0.198788i
\(557\) 4.55992 + 17.0179i 0.193210 + 0.721070i 0.992723 + 0.120421i \(0.0384244\pi\)
−0.799513 + 0.600649i \(0.794909\pi\)
\(558\) −17.8325 + 0.450633i −0.754908 + 0.0190768i
\(559\) −18.0246 + 9.73667i −0.762358 + 0.411817i
\(560\) 1.93599i 0.0818106i
\(561\) −2.54110 9.02585i −0.107285 0.381072i
\(562\) 1.42194 2.46287i 0.0599809 0.103890i
\(563\) −13.1207 22.7258i −0.552972 0.957776i −0.998058 0.0622884i \(-0.980160\pi\)
0.445086 0.895488i \(-0.353173\pi\)
\(564\) 0.207349 + 0.202175i 0.00873095 + 0.00851310i
\(565\) −24.6979 6.61779i −1.03905 0.278413i
\(566\) 20.8077 + 5.57539i 0.874611 + 0.234351i
\(567\) 6.67727 + 6.03440i 0.280419 + 0.253421i
\(568\) 5.04628 + 8.74041i 0.211737 + 0.366740i
\(569\) −7.41148 + 12.8371i −0.310705 + 0.538157i −0.978515 0.206174i \(-0.933899\pi\)
0.667810 + 0.744332i \(0.267232\pi\)
\(570\) 7.60525 2.14115i 0.318549 0.0896827i
\(571\) 7.26369i 0.303976i −0.988382 0.151988i \(-0.951432\pi\)
0.988382 0.151988i \(-0.0485675\pi\)
\(572\) 12.4054 + 13.1287i 0.518696 + 0.548939i
\(573\) −0.436384 34.5427i −0.0182302 1.44304i
\(574\) −1.38849 5.18191i −0.0579544 0.216289i
\(575\) 3.40680 + 1.96692i 0.142073 + 0.0820262i
\(576\) −2.55935 + 1.56515i −0.106640 + 0.0652148i
\(577\) 15.1240 15.1240i 0.629619 0.629619i −0.318353 0.947972i \(-0.603130\pi\)
0.947972 + 0.318353i \(0.103130\pi\)
\(578\) −4.09768 + 15.2927i −0.170441 + 0.636094i
\(579\) −10.6017 + 41.6644i −0.440592 + 1.73151i
\(580\) −1.12373 1.12373i −0.0466605 0.0466605i
\(581\) 0.415085 0.239650i 0.0172206 0.00994234i
\(582\) 3.57739 6.38104i 0.148288 0.264503i
\(583\) −69.8323 + 18.7115i −2.89216 + 0.774952i
\(584\) −2.13853 −0.0884929
\(585\) 5.48167 20.2108i 0.226639 0.835612i
\(586\) −13.4082 −0.553888
\(587\) 14.4371 3.86840i 0.595881 0.159666i 0.0517414 0.998661i \(-0.483523\pi\)
0.544140 + 0.838995i \(0.316856\pi\)
\(588\) 0.847008 1.51082i 0.0349300 0.0623052i
\(589\) −12.1331 + 7.00505i −0.499936 + 0.288638i
\(590\) −2.34922 2.34922i −0.0967160 0.0967160i
\(591\) 8.93704 35.1223i 0.367621 1.44474i
\(592\) 0.140553 0.524550i 0.00577668 0.0215589i
\(593\) −11.2075 + 11.2075i −0.460239 + 0.460239i −0.898734 0.438495i \(-0.855512\pi\)
0.438495 + 0.898734i \(0.355512\pi\)
\(594\) −13.8603 22.0341i −0.568694 0.904072i
\(595\) 1.81183 + 1.04606i 0.0742777 + 0.0428843i
\(596\) −2.84144 10.6044i −0.116390 0.434373i
\(597\) −0.227950 18.0438i −0.00932937 0.738483i
\(598\) 3.24095 10.8559i 0.132532 0.443931i
\(599\) 19.7299i 0.806143i 0.915168 + 0.403072i \(0.132057\pi\)
−0.915168 + 0.403072i \(0.867943\pi\)
\(600\) −2.08727 + 0.587641i −0.0852126 + 0.0239904i
\(601\) −21.8523 + 37.8493i −0.891374 + 1.54390i −0.0531444 + 0.998587i \(0.516924\pi\)
−0.838229 + 0.545318i \(0.816409\pi\)
\(602\) −2.84093 4.92064i −0.115788 0.200550i
\(603\) 24.6530 25.9313i 1.00395 1.05601i
\(604\) 19.4901 + 5.22235i 0.793040 + 0.212494i
\(605\) −26.3612 7.06345i −1.07173 0.287170i
\(606\) −15.5165 15.1293i −0.630315 0.614587i
\(607\) −0.403192 0.698348i −0.0163650 0.0283451i 0.857727 0.514106i \(-0.171876\pi\)
−0.874092 + 0.485760i \(0.838543\pi\)
\(608\) −1.17810 + 2.04053i −0.0477783 + 0.0827545i
\(609\) −0.385305 1.36859i −0.0156134 0.0554579i
\(610\) 17.4138i 0.705066i
\(611\) 0.438179 0.414038i 0.0177268 0.0167502i
\(612\) −0.0818987 3.24090i −0.00331056 0.131006i
\(613\) −1.19793 4.47072i −0.0483838 0.180571i 0.937505 0.347971i \(-0.113129\pi\)
−0.985889 + 0.167401i \(0.946463\pi\)
\(614\) 14.9433 + 8.62754i 0.603064 + 0.348179i
\(615\) 15.4642 9.19064i 0.623576 0.370602i
\(616\) −3.54236 + 3.54236i −0.142726 + 0.142726i
\(617\) −5.55124 + 20.7175i −0.223484 + 0.834055i 0.759522 + 0.650482i \(0.225433\pi\)
−0.983006 + 0.183573i \(0.941234\pi\)
\(618\) −2.16062 0.549781i −0.0869131 0.0221154i
\(619\) −33.9860 33.9860i −1.36601 1.36601i −0.866043 0.499969i \(-0.833345\pi\)
−0.499969 0.866043i \(-0.666655\pi\)
\(620\) −9.96925 + 5.75575i −0.400375 + 0.231157i
\(621\) −7.62208 + 14.4391i −0.305864 + 0.579420i
\(622\) −10.5139 + 2.81720i −0.421570 + 0.112959i
\(623\) −16.8336 −0.674425
\(624\) 3.03728 + 5.45664i 0.121588 + 0.218440i
\(625\) 17.1730 0.686919
\(626\) 25.4545 6.82051i 1.01737 0.272602i
\(627\) −17.8334 9.99789i −0.712197 0.399277i
\(628\) 1.39240 0.803903i 0.0555629 0.0320792i
\(629\) 0.414964 + 0.414964i 0.0165457 + 0.0165457i
\(630\) 5.64626 + 1.36101i 0.224952 + 0.0542240i
\(631\) −2.19913 + 8.20725i −0.0875458 + 0.326725i −0.995784 0.0917279i \(-0.970761\pi\)
0.908238 + 0.418453i \(0.137428\pi\)
\(632\) 1.09509 1.09509i 0.0435603 0.0435603i
\(633\) 2.74145 + 4.61276i 0.108963 + 0.183341i
\(634\) −19.8039 11.4338i −0.786511 0.454093i
\(635\) 7.01841 + 26.1930i 0.278517 + 1.03944i
\(636\) −24.9937 + 0.315750i −0.991064 + 0.0125203i
\(637\) −3.07020 1.89047i −0.121646 0.0749031i
\(638\) 4.11228i 0.162807i
\(639\) −29.0387 + 8.57276i −1.14875 + 0.339133i
\(640\) −0.967996 + 1.67662i −0.0382634 + 0.0662741i
\(641\) 9.14555 + 15.8406i 0.361228 + 0.625664i 0.988163 0.153407i \(-0.0490244\pi\)
−0.626936 + 0.779071i \(0.715691\pi\)
\(642\) 6.80181 6.97587i 0.268446 0.275316i
\(643\) −23.2648 6.23377i −0.917472 0.245836i −0.230968 0.972961i \(-0.574189\pi\)
−0.686505 + 0.727125i \(0.740856\pi\)
\(644\) 3.03513 + 0.813262i 0.119601 + 0.0320470i
\(645\) 13.3010 13.6414i 0.523726 0.537128i
\(646\) −1.27311 2.20509i −0.0500898 0.0867581i
\(647\) 4.83585 8.37595i 0.190117 0.329292i −0.755172 0.655527i \(-0.772447\pi\)
0.945289 + 0.326235i \(0.105780\pi\)
\(648\) −2.76549 8.56458i −0.108639 0.336449i
\(649\) 8.59694i 0.337459i
\(650\) 1.04436 + 4.39144i 0.0409632 + 0.172247i
\(651\) −10.2980 + 0.130097i −0.403612 + 0.00509890i
\(652\) −1.98526 7.40908i −0.0777486 0.290162i
\(653\) 22.6224 + 13.0610i 0.885282 + 0.511118i 0.872396 0.488799i \(-0.162565\pi\)
0.0128859 + 0.999917i \(0.495898\pi\)
\(654\) −16.9554 28.5291i −0.663008 1.11558i
\(655\) −2.55097 + 2.55097i −0.0996747 + 0.0996747i
\(656\) −1.38849 + 5.18191i −0.0542114 + 0.202320i
\(657\) 1.50339 6.23695i 0.0586530 0.243326i
\(658\) 0.118229 + 0.118229i 0.00460904 + 0.00460904i
\(659\) −19.6160 + 11.3253i −0.764132 + 0.441172i −0.830777 0.556605i \(-0.812104\pi\)
0.0666453 + 0.997777i \(0.478770\pi\)
\(660\) −14.6529 8.21484i −0.570365 0.319762i
\(661\) 29.3854 7.87378i 1.14296 0.306255i 0.362818 0.931860i \(-0.381815\pi\)
0.780140 + 0.625605i \(0.215148\pi\)
\(662\) 14.8280 0.576306
\(663\) −6.74779 0.105860i −0.262063 0.00411126i
\(664\) −0.479299 −0.0186004
\(665\) 4.40616 1.18063i 0.170863 0.0457827i
\(666\) 1.43102 + 0.778679i 0.0554511 + 0.0301732i
\(667\) 2.23378 1.28967i 0.0864921 0.0499363i
\(668\) −14.0451 14.0451i −0.543423 0.543423i
\(669\) 2.86075 + 0.727932i 0.110603 + 0.0281435i
\(670\) 5.97611 22.3031i 0.230877 0.861646i
\(671\) 31.8628 31.8628i 1.23005 1.23005i
\(672\) −1.48894 + 0.884905i −0.0574371 + 0.0341359i
\(673\) 16.9366 + 9.77835i 0.652858 + 0.376928i 0.789550 0.613686i \(-0.210314\pi\)
−0.136692 + 0.990614i \(0.543647\pi\)
\(674\) −4.85925 18.1350i −0.187171 0.698533i
\(675\) −0.246474 6.50058i −0.00948677 0.250207i
\(676\) 11.6082 5.85226i 0.446470 0.225087i
\(677\) 47.5793i 1.82862i 0.405015 + 0.914310i \(0.367266\pi\)
−0.405015 + 0.914310i \(0.632734\pi\)
\(678\) 6.19931 + 22.0196i 0.238083 + 0.845660i
\(679\) 2.11178 3.65771i 0.0810427 0.140370i
\(680\) −1.04606 1.81183i −0.0401145 0.0694804i
\(681\) −11.4881 11.2015i −0.440226 0.429242i
\(682\) 28.7727 + 7.70962i 1.10176 + 0.295217i
\(683\) −29.7216 7.96389i −1.13727 0.304730i −0.359415 0.933178i \(-0.617024\pi\)
−0.777852 + 0.628448i \(0.783691\pi\)
\(684\) −5.12293 4.87040i −0.195880 0.186224i
\(685\) 15.1010 + 26.1557i 0.576979 + 0.999357i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −31.1424 + 8.76770i −1.18816 + 0.334509i
\(688\) 5.68187i 0.216619i
\(689\) −1.47333 + 52.0118i −0.0561295 + 1.98149i
\(690\) 0.133099 + 10.5357i 0.00506701 + 0.401087i
\(691\) −3.74279 13.9683i −0.142383 0.531379i −0.999858 0.0168540i \(-0.994635\pi\)
0.857475 0.514525i \(-0.172032\pi\)
\(692\) −0.654347 0.377787i −0.0248745 0.0143613i
\(693\) −7.84089 12.8215i −0.297851 0.487048i
\(694\) 6.66902 6.66902i 0.253152 0.253152i
\(695\) −4.69739 + 17.5309i −0.178182 + 0.664985i
\(696\) −0.350609 + 1.37788i −0.0132898 + 0.0522285i
\(697\) −4.09934 4.09934i −0.155274 0.155274i
\(698\) −26.5394 + 15.3225i −1.00453 + 0.579967i
\(699\) −16.6713 + 29.7368i −0.630567 + 1.12475i
\(700\) −1.20928 + 0.324025i −0.0457064 + 0.0122470i
\(701\) 0.0793469 0.00299689 0.00149845 0.999999i \(-0.499523\pi\)
0.00149845 + 0.999999i \(0.499523\pi\)
\(702\) −18.0493 + 5.02208i −0.681228 + 0.189546i
\(703\) 1.27955 0.0482590
\(704\) 4.83896 1.29660i 0.182375 0.0488673i
\(705\) −0.274176 + 0.489051i −0.0103261 + 0.0184187i
\(706\) 18.7414 10.8203i 0.705341 0.407229i
\(707\) −8.84740 8.84740i −0.332741 0.332741i
\(708\) −0.732965 + 2.88053i −0.0275465 + 0.108257i
\(709\) 0.737752 2.75333i 0.0277068 0.103403i −0.950688 0.310150i \(-0.899621\pi\)
0.978395 + 0.206746i \(0.0662875\pi\)
\(710\) −13.8162 + 13.8162i −0.518514 + 0.518514i
\(711\) 2.42394 + 3.96364i 0.0909048 + 0.148648i
\(712\) 14.5783 + 8.41681i 0.546347 + 0.315433i
\(713\) −4.83570 18.0471i −0.181098 0.675868i
\(714\) −0.0236440 1.87158i −0.000884855 0.0700422i
\(715\) −18.3350 + 29.7768i −0.685690 + 1.11359i
\(716\) 10.9377i 0.408760i
\(717\) 38.9693 10.9712i 1.45534 0.409728i
\(718\) −12.5001 + 21.6508i −0.466499 + 0.808000i
\(719\) 0.842006 + 1.45840i 0.0314015 + 0.0543890i 0.881299 0.472559i \(-0.156670\pi\)
−0.849898 + 0.526948i \(0.823336\pi\)
\(720\) −4.20930 4.00180i −0.156871 0.149138i
\(721\) −1.24333 0.333149i −0.0463040 0.0124071i
\(722\) 12.9901 + 3.48068i 0.483440 + 0.129537i
\(723\) 4.28842 + 4.18141i 0.159488 + 0.155508i
\(724\) −10.8588 18.8080i −0.403564 0.698993i
\(725\) −0.513839 + 0.889995i −0.0190835 + 0.0330536i
\(726\) 6.61679 + 23.5025i 0.245572 + 0.872260i
\(727\) 34.6532i 1.28521i −0.766196 0.642607i \(-0.777853\pi\)
0.766196 0.642607i \(-0.222147\pi\)
\(728\) 1.71364 + 3.17229i 0.0635116 + 0.117573i
\(729\) 26.9225 2.04451i 0.997129 0.0757224i
\(730\) −1.07156 3.99910i −0.0396600 0.148013i
\(731\) −5.31747 3.07004i −0.196674 0.113550i
\(732\) 13.3927 7.95953i 0.495009 0.294193i
\(733\) −27.6020 + 27.6020i −1.01950 + 1.01950i −0.0196968 + 0.999806i \(0.506270\pi\)
−0.999806 + 0.0196968i \(0.993730\pi\)
\(734\) −4.81040 + 17.9527i −0.177555 + 0.662645i
\(735\) 3.24968 + 0.826897i 0.119866 + 0.0305005i
\(736\) −2.22187 2.22187i −0.0818993 0.0818993i
\(737\) −51.7437 + 29.8743i −1.90600 + 1.10043i
\(738\) −14.1368 7.69239i −0.520381 0.283161i
\(739\) −27.2046 + 7.28945i −1.00074 + 0.268147i −0.721754 0.692149i \(-0.756664\pi\)
−0.278983 + 0.960296i \(0.589997\pi\)
\(740\) 1.05135 0.0386483
\(741\) −10.5666 + 10.2402i −0.388175 + 0.376184i
\(742\) −14.4313 −0.529789
\(743\) −11.2794 + 3.02232i −0.413803 + 0.110878i −0.459713 0.888067i \(-0.652048\pi\)
0.0459104 + 0.998946i \(0.485381\pi\)
\(744\) 8.98341 + 5.03635i 0.329348 + 0.184642i
\(745\) 18.4067 10.6271i 0.674370 0.389348i
\(746\) −8.57957 8.57957i −0.314121 0.314121i
\(747\) 0.336950 1.39786i 0.0123283 0.0511450i
\(748\) −1.40116 + 5.22919i −0.0512314 + 0.191198i
\(749\) 3.97759 3.97759i 0.145338 0.145338i
\(750\) −10.7106 18.0217i −0.391096 0.658059i
\(751\) −12.5124 7.22401i −0.456582 0.263608i 0.254024 0.967198i \(-0.418246\pi\)
−0.710606 + 0.703590i \(0.751579\pi\)
\(752\) −0.0432747 0.161503i −0.00157807 0.00588942i
\(753\) −31.3114 + 0.395562i −1.14105 + 0.0144151i
\(754\) 2.83601 + 0.846667i 0.103281 + 0.0308338i
\(755\) 39.0637i 1.42167i
\(756\) −1.53406 4.96454i −0.0557933 0.180559i
\(757\) 13.1472 22.7715i 0.477842 0.827646i −0.521836 0.853046i \(-0.674753\pi\)
0.999677 + 0.0254000i \(0.00808594\pi\)
\(758\) 1.49807 + 2.59473i 0.0544122 + 0.0942448i
\(759\) 19.0341 19.5212i 0.690893 0.708573i
\(760\) −4.40616 1.18063i −0.159828 0.0428258i
\(761\) 34.8239 + 9.33104i 1.26237 + 0.338250i 0.827101 0.562053i \(-0.189988\pi\)
0.435264 + 0.900303i \(0.356655\pi\)
\(762\) 16.9367 17.3701i 0.613551 0.629252i
\(763\) −9.58034 16.5936i −0.346832 0.600730i
\(764\) −9.97242 + 17.2727i −0.360789 + 0.624905i
\(765\) 6.01952 1.77707i 0.217636 0.0642503i
\(766\) 21.6483i 0.782185i
\(767\) 5.92882 + 1.77000i 0.214077 + 0.0639110i
\(768\) 1.73191 0.0218795i 0.0624950 0.000789510i
\(769\) 8.80289 + 32.8528i 0.317440 + 1.18470i 0.921696 + 0.387913i \(0.126804\pi\)
−0.604256 + 0.796791i \(0.706529\pi\)
\(770\) −8.39929 4.84933i −0.302689 0.174758i
\(771\) 18.7941 + 31.6229i 0.676852 + 1.13887i
\(772\) 17.5514 17.5514i 0.631690 0.631690i
\(773\) 3.54196 13.2188i 0.127396 0.475447i −0.872518 0.488582i \(-0.837514\pi\)
0.999914 + 0.0131349i \(0.00418109\pi\)