Properties

Label 546.2.bu.b.71.9
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 71.9
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.884905 + 1.48894i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.36895 - 1.36895i) q^{5} +(-0.469386 + 1.66724i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.43389 - 2.63514i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.884905 + 1.48894i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.36895 - 1.36895i) q^{5} +(-0.469386 + 1.66724i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.43389 - 2.63514i) 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} +(3.24968 - 0.826897i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.540322 - 0.935866i) q^{17} +(-2.06705 - 2.17423i) q^{18} +(2.27592 + 0.609830i) q^{19} +(-1.87002 - 0.501072i) q^{20} +(1.20918 + 1.24012i) q^{21} +(-2.50483 - 4.33849i) q^{22} +(1.57110 - 2.72123i) q^{23} +(0.427118 + 1.67856i) 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} +(2.92494 - 1.63980i) q^{30} +(-4.20449 + 4.20449i) q^{31} +(0.258819 - 0.965926i) q^{32} +(8.35229 + 2.35146i) q^{33} +(-0.764131 - 0.764131i) q^{34} +(-1.67662 + 0.967996i) q^{35} +(-2.55935 - 1.56515i) q^{36} +(0.524550 - 0.140553i) q^{37} +2.35620 q^{38} +(-3.34130 + 5.27596i) q^{39} -1.93599 q^{40} +(5.18191 - 1.38849i) q^{41} +(1.48894 + 0.884905i) q^{42} +(-4.92064 + 2.84093i) q^{43} +(-3.54236 - 3.54236i) q^{44} +(-1.64446 + 5.57031i) q^{45} +(0.813262 - 3.03513i) q^{46} +(-0.118229 + 0.118229i) q^{47} +(0.847008 + 1.51082i) 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} +(5.06645 - 1.15373i) q^{54} +(-4.84933 + 8.39929i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-2.92197 + 2.84906i) q^{57} +(0.792900 + 0.212457i) q^{58} +(-1.65760 - 0.444152i) q^{59} +(2.40086 - 2.34095i) q^{60} +(-4.49739 - 7.78972i) q^{61} +(-2.97302 + 5.14943i) q^{62} +(-2.91647 + 0.703005i) 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} +(2.66147 + 4.74730i) q^{69} +(-1.36895 + 1.36895i) q^{70} +(-2.61215 + 9.74866i) q^{71} +(-2.87724 - 0.849414i) q^{72} +(1.51217 + 1.51217i) q^{73} +(0.470299 - 0.271527i) q^{74} +(1.86406 + 1.10784i) q^{75} +(2.27592 - 0.609830i) q^{76} -5.00966 q^{77} +(-1.86193 + 5.96097i) q^{78} -1.54869 q^{79} +(-1.87002 + 0.501072i) q^{80} +(-4.88793 + 7.55699i) q^{81} +(4.64597 - 2.68235i) q^{82} +(-0.338916 - 0.338916i) q^{83} +(1.66724 + 0.469386i) q^{84} +(-0.541480 + 2.02083i) q^{85} +(-4.01769 + 4.01769i) q^{86} +(-1.24019 + 0.695284i) 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} +(-2.53966 - 9.98081i) q^{93} +(-0.0836003 + 0.144800i) q^{94} +(-2.28079 - 3.95045i) q^{95} +(1.20918 + 1.24012i) q^{96} +(4.07964 + 1.09314i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(-10.8922 + 10.3552i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

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
\(3\) −0.884905 + 1.48894i −0.510900 + 0.859640i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.36895 1.36895i −0.612214 0.612214i 0.331308 0.943523i \(-0.392510\pi\)
−0.943523 + 0.331308i \(0.892510\pi\)
\(6\) −0.469386 + 1.66724i −0.191626 + 0.680646i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.43389 2.63514i −0.477963 0.878380i
\(10\) −1.67662 0.967996i −0.530193 0.306107i
\(11\) −1.29660 4.83896i −0.390938 1.45900i −0.828590 0.559856i \(-0.810856\pi\)
0.437651 0.899145i \(-0.355810\pi\)
\(12\) −0.0218795 + 1.73191i −0.00631608 + 0.499960i
\(13\) 3.60411 + 0.102093i 0.999599 + 0.0283155i
\(14\) 1.00000i 0.267261i
\(15\) 3.24968 0.826897i 0.839064 0.213504i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.540322 0.935866i −0.131047 0.226981i 0.793033 0.609178i \(-0.208501\pi\)
−0.924081 + 0.382198i \(0.875167\pi\)
\(18\) −2.06705 2.17423i −0.487209 0.512472i
\(19\) 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
\(21\) 1.20918 + 1.24012i 0.263864 + 0.270616i
\(22\) −2.50483 4.33849i −0.534032 0.924970i
\(23\) 1.57110 2.72123i 0.327597 0.567415i −0.654437 0.756116i \(-0.727094\pi\)
0.982035 + 0.188701i \(0.0604278\pi\)
\(24\) 0.427118 + 1.67856i 0.0871851 + 0.342635i
\(25\) 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 0.564551 0.825398i \(-0.309049\pi\)
−0.432541 + 0.901614i \(0.642383\pi\)
\(30\) 2.92494 1.63980i 0.534018 0.299385i
\(31\) −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
\(33\) 8.35229 + 2.35146i 1.45395 + 0.409337i
\(34\) −0.764131 0.764131i −0.131047 0.131047i
\(35\) −1.67662 + 0.967996i −0.283400 + 0.163621i
\(36\) −2.55935 1.56515i −0.426559 0.260859i
\(37\) 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
\(39\) −3.34130 + 5.27596i −0.535036 + 0.844829i
\(40\) −1.93599 −0.306107
\(41\) 5.18191 1.38849i 0.809278 0.216845i 0.169625 0.985509i \(-0.445744\pi\)
0.639654 + 0.768663i \(0.279078\pi\)
\(42\) 1.48894 + 0.884905i 0.229749 + 0.136544i
\(43\) −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
\(45\) −1.64446 + 5.57031i −0.245141 + 0.830373i
\(46\) 0.813262 3.03513i 0.119909 0.447506i
\(47\) −0.118229 + 0.118229i −0.0172454 + 0.0172454i −0.715677 0.698431i \(-0.753882\pi\)
0.698431 + 0.715677i \(0.253882\pi\)
\(48\) 0.847008 + 1.51082i 0.122255 + 0.218068i
\(49\) −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 \(-0.542395\pi\)
0.132795 0.991144i \(-0.457605\pi\)
\(54\) 5.06645 1.15373i 0.689456 0.157003i
\(55\) −4.84933 + 8.39929i −0.653884 + 1.13256i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −2.92197 + 2.84906i −0.387024 + 0.377368i
\(58\) 0.792900 + 0.212457i 0.104113 + 0.0278970i
\(59\) −1.65760 0.444152i −0.215801 0.0578237i 0.149299 0.988792i \(-0.452298\pi\)
−0.365100 + 0.930968i \(0.618965\pi\)
\(60\) 2.40086 2.34095i 0.309950 0.302216i
\(61\) −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
\(63\) −2.91647 + 0.703005i −0.367440 + 0.0885703i
\(64\) 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
\(69\) 2.66147 + 4.74730i 0.320403 + 0.571508i
\(70\) −1.36895 + 1.36895i −0.163621 + 0.163621i
\(71\) −2.61215 + 9.74866i −0.310005 + 1.15695i 0.618546 + 0.785748i \(0.287722\pi\)
−0.928551 + 0.371205i \(0.878945\pi\)
\(72\) −2.87724 0.849414i −0.339086 0.100104i
\(73\) 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
\(75\) 1.86406 + 1.10784i 0.215243 + 0.127923i
\(76\) 2.27592 0.609830i 0.261066 0.0699523i
\(77\) −5.00966 −0.570904
\(78\) −1.86193 + 5.96097i −0.210822 + 0.674947i
\(79\) −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
\(81\) −4.88793 + 7.55699i −0.543103 + 0.839666i
\(82\) 4.64597 2.68235i 0.513062 0.296216i
\(83\) −0.338916 0.338916i −0.0372008 0.0372008i 0.688262 0.725463i \(-0.258374\pi\)
−0.725463 + 0.688262i \(0.758374\pi\)
\(84\) 1.66724 + 0.469386i 0.181910 + 0.0512142i
\(85\) −0.541480 + 2.02083i −0.0587318 + 0.219190i
\(86\) −4.01769 + 4.01769i −0.433239 + 0.433239i
\(87\) −1.24019 + 0.695284i −0.132962 + 0.0745423i
\(88\) −4.33849 2.50483i −0.462485 0.267016i
\(89\) 4.35686 + 16.2600i 0.461826 + 1.72356i 0.667202 + 0.744877i \(0.267492\pi\)
−0.205376 + 0.978683i \(0.565842\pi\)
\(90\) −0.146723 + 5.80612i −0.0154659 + 0.612019i
\(91\) 1.03143 3.45488i 0.108123 0.362169i
\(92\) 3.14220i 0.327597i
\(93\) −2.53966 9.98081i −0.263351 1.03496i
\(94\) −0.0836003 + 0.144800i −0.00862272 + 0.0149350i
\(95\) −2.28079 3.95045i −0.234005 0.405308i
\(96\) 1.20918 + 1.24012i 0.123411 + 0.126569i
\(97\) 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
\(99\) −10.8922 + 10.3552i −1.09470 + 1.04074i
\(100\) −0.625968 1.08421i −0.0625968 0.108421i
\(101\) −6.25605 + 10.8358i −0.622501 + 1.07820i 0.366518 + 0.930411i \(0.380550\pi\)
−0.989018 + 0.147792i \(0.952783\pi\)
\(102\) 1.81393 0.461563i 0.179606 0.0457015i
\(103\) 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 0.245688 0.969349i \(-0.420986\pi\)
−0.716637 + 0.697446i \(0.754320\pi\)
\(108\) 4.59521 2.42571i 0.442174 0.233414i
\(109\) 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
\(111\) −0.254902 + 0.905400i −0.0241942 + 0.0859367i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 11.4378 6.60364i 1.07598 0.621218i 0.146172 0.989259i \(-0.453305\pi\)
0.929809 + 0.368041i \(0.119971\pi\)
\(114\) −2.08501 + 3.50825i −0.195279 + 0.328577i
\(115\) −5.87600 + 1.57447i −0.547939 + 0.146820i
\(116\) 0.820871 0.0762159
\(117\) −4.89885 9.64371i −0.452899 0.891562i
\(118\) −1.71607 −0.157977
\(119\) −1.04382 + 0.279691i −0.0956870 + 0.0256393i
\(120\) 1.71317 2.88258i 0.156390 0.263142i
\(121\) −12.2081 + 7.04835i −1.10983 + 0.640759i
\(122\) −6.36028 6.36028i −0.575832 0.575832i
\(123\) −2.51812 + 8.94423i −0.227051 + 0.806474i
\(124\) −1.53895 + 5.74344i −0.138202 + 0.515776i
\(125\) −8.55861 + 8.55861i −0.765505 + 0.765505i
\(126\) −2.63514 + 1.43389i −0.234757 + 0.127741i
\(127\) 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 \(-0.974059\pi\)
0.996681 0.0814051i \(-0.0259407\pi\)
\(132\) 8.40902 2.13972i 0.731912 0.186238i
\(133\) 1.17810 2.04053i 0.102154 0.176937i
\(134\) 5.96333 + 10.3288i 0.515153 + 0.892272i
\(135\) −6.83867 7.37769i −0.588579 0.634971i
\(136\) −1.04382 0.279691i −0.0895070 0.0239833i
\(137\) −15.0687 4.03765i −1.28741 0.344959i −0.450731 0.892660i \(-0.648837\pi\)
−0.836675 + 0.547700i \(0.815503\pi\)
\(138\) 3.79948 + 3.89670i 0.323433 + 0.331709i
\(139\) 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
\(141\) −0.0714144 0.280657i −0.00601418 0.0236356i
\(142\) 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
\(147\) 1.51082 0.847008i 0.124610 0.0698600i
\(148\) 0.383997 0.383997i 0.0315644 0.0315644i
\(149\) −2.84144 + 10.6044i −0.232780 + 0.868746i 0.746357 + 0.665546i \(0.231801\pi\)
−0.979137 + 0.203201i \(0.934866\pi\)
\(150\) 2.08727 + 0.587641i 0.170425 + 0.0479807i
\(151\) 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
\(153\) −1.69138 + 2.76575i −0.136740 + 0.223598i
\(154\) −4.83896 + 1.29660i −0.389934 + 0.104483i
\(155\) 11.5115 0.924626
\(156\) −0.255672 + 6.23976i −0.0204702 + 0.499581i
\(157\) 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
\(159\) 21.4873 + 12.7703i 1.70405 + 1.01275i
\(160\) −1.67662 + 0.967996i −0.132548 + 0.0765268i
\(161\) −2.22187 2.22187i −0.175108 0.175108i
\(162\) −2.76549 + 8.56458i −0.217277 + 0.672897i
\(163\) 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
\(165\) −8.21484 14.6529i −0.639525 1.14073i
\(166\) −0.415085 0.239650i −0.0322169 0.0186004i
\(167\) 5.14088 + 19.1860i 0.397813 + 1.48466i 0.816936 + 0.576729i \(0.195671\pi\)
−0.419123 + 0.907929i \(0.637662\pi\)
\(168\) 1.73191 + 0.0218795i 0.133620 + 0.00168804i
\(169\) 12.9792 + 0.735908i 0.998396 + 0.0566083i
\(170\) 2.09212i 0.160458i
\(171\) −1.65642 6.87179i −0.126670 0.525499i
\(172\) −2.84093 + 4.92064i −0.216619 + 0.375196i
\(173\) 0.377787 + 0.654347i 0.0287226 + 0.0497490i 0.880029 0.474919i \(-0.157523\pi\)
−0.851307 + 0.524668i \(0.824189\pi\)
\(174\) −1.01798 + 0.992577i −0.0771726 + 0.0752471i
\(175\) −1.20928 0.324025i −0.0914128 0.0244940i
\(176\) −4.83896 1.29660i −0.364750 0.0977346i
\(177\) 2.12813 2.07503i 0.159960 0.155969i
\(178\) 8.41681 + 14.5783i 0.630867 + 1.09269i
\(179\) −5.46883 + 9.47230i −0.408760 + 0.707993i −0.994751 0.102325i \(-0.967372\pi\)
0.585991 + 0.810317i \(0.300705\pi\)
\(180\) 1.36101 + 5.64626i 0.101444 + 0.420847i
\(181\) 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
\(186\) −5.03635 8.98341i −0.369283 0.658696i
\(187\) −3.82804 + 3.82804i −0.279934 + 0.279934i
\(188\) −0.0432747 + 0.161503i −0.00315613 + 0.0117788i
\(189\) 1.53406 4.96454i 0.111587 0.361117i
\(190\) −3.22553 3.22553i −0.234005 0.234005i
\(191\) 17.2727 9.97242i 1.24981 0.721579i 0.278739 0.960367i \(-0.410083\pi\)
0.971072 + 0.238788i \(0.0767501\pi\)
\(192\) 1.48894 + 0.884905i 0.107455 + 0.0638625i
\(193\) 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
\(195\) 11.7966 2.64845i 0.844773 0.189660i
\(196\) −1.00000 −0.0714286
\(197\) 20.2111 5.41554i 1.43998 0.385841i 0.547453 0.836836i \(-0.315597\pi\)
0.892527 + 0.450995i \(0.148931\pi\)
\(198\) −7.84089 + 12.8215i −0.557228 + 0.911184i
\(199\) −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
\(201\) −19.8846 5.59821i −1.40255 0.394867i
\(202\) −3.23837 + 12.0858i −0.227851 + 0.850352i
\(203\) 0.580443 0.580443i 0.0407391 0.0407391i
\(204\) 1.63266 0.915315i 0.114309 0.0640848i
\(205\) −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
\(210\) −0.826897 3.24968i −0.0570613 0.224249i
\(211\) 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
\(213\) −12.2037 12.5160i −0.836182 0.857580i
\(214\) −5.43349 1.45590i −0.371426 0.0995233i
\(215\) 10.6252 + 2.84702i 0.724635 + 0.194165i
\(216\) 3.81081 3.53239i 0.259293 0.240348i
\(217\) 2.97302 + 5.14943i 0.201822 + 0.349566i
\(218\) 9.58034 16.5936i 0.648863 1.12386i
\(219\) −3.58965 + 0.913403i −0.242566 + 0.0617221i
\(220\) 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
\(225\) −3.29903 + 1.79514i −0.219935 + 0.119676i
\(226\) 9.33895 9.33895i 0.621218 0.621218i
\(227\) 2.39763 8.94809i 0.159136 0.593905i −0.839579 0.543238i \(-0.817198\pi\)
0.998716 0.0506680i \(-0.0161350\pi\)
\(228\) −1.10597 + 3.92835i −0.0732446 + 0.260161i
\(229\) 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
\(231\) 4.43307 7.45909i 0.291675 0.490772i
\(232\) 0.792900 0.212457i 0.0520565 0.0139485i
\(233\) −19.6826 −1.28945 −0.644724 0.764415i \(-0.723028\pi\)
−0.644724 + 0.764415i \(0.723028\pi\)
\(234\) −7.22791 8.04720i −0.472503 0.526062i
\(235\) 0.323699 0.0211158
\(236\) −1.65760 + 0.444152i −0.107900 + 0.0289119i
\(237\) 1.37044 2.30591i 0.0890198 0.149785i
\(238\) −0.935866 + 0.540322i −0.0606632 + 0.0350239i
\(239\) 16.5276 + 16.5276i 1.06908 + 1.06908i 0.997430 + 0.0716537i \(0.0228276\pi\)
0.0716537 + 0.997430i \(0.477172\pi\)
\(240\) 0.908727 3.22776i 0.0586581 0.208351i
\(241\) 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
\(243\) −6.92656 13.9651i −0.444339 0.895859i
\(244\) −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
\(249\) 0.804533 0.204717i 0.0509852 0.0129734i
\(250\) −6.05185 + 10.4821i −0.382752 + 0.662947i
\(251\) −9.03954 15.6569i −0.570571 0.988258i −0.996507 0.0835047i \(-0.973389\pi\)
0.425936 0.904753i \(-0.359945\pi\)
\(252\) −2.17423 + 2.06705i −0.136964 + 0.130212i
\(253\) −15.2050 4.07417i −0.955930 0.256141i
\(254\) 13.5295 + 3.62522i 0.848918 + 0.227467i
\(255\) −2.52974 2.59447i −0.158418 0.162472i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −10.6193 + 18.3931i −0.662411 + 1.14733i 0.317569 + 0.948235i \(0.397134\pi\)
−0.979980 + 0.199095i \(0.936200\pi\)
\(258\) −2.42683 9.53737i −0.151088 0.593771i
\(259\) 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 0.740650 0.671891i \(-0.234518\pi\)
−0.211550 + 0.977367i \(0.567851\pi\)
\(264\) 7.56869 4.24322i 0.465821 0.261152i
\(265\) −19.7557 + 19.7557i −1.21358 + 1.21358i
\(266\) 0.609830 2.27592i 0.0373911 0.139545i
\(267\) −28.0656 7.90147i −1.71759 0.483562i
\(268\) 8.43342 + 8.43342i 0.515153 + 0.515153i
\(269\) 21.2435 12.2650i 1.29524 0.747808i 0.315663 0.948871i \(-0.397773\pi\)
0.979578 + 0.201063i \(0.0644396\pi\)
\(270\) −8.51513 5.35633i −0.518215 0.325976i
\(271\) 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
\(273\) 4.23139 + 4.59297i 0.256095 + 0.277979i
\(274\) −15.6003 −0.942446
\(275\) −6.05807 + 1.62325i −0.365315 + 0.0978859i
\(276\) 4.67855 + 2.78055i 0.281616 + 0.167369i
\(277\) −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
\(279\) 17.1082 + 5.05066i 1.02424 + 0.302375i
\(280\) −0.501072 + 1.87002i −0.0299448 + 0.111755i
\(281\) 2.01093 2.01093i 0.119962 0.119962i −0.644577 0.764539i \(-0.722967\pi\)
0.764539 + 0.644577i \(0.222967\pi\)
\(282\) −0.141620 0.252610i −0.00843337 0.0150427i
\(283\) −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
\(288\) −2.91647 + 0.703005i −0.171855 + 0.0414250i
\(289\) 7.91610 13.7111i 0.465653 0.806535i
\(290\) −0.794600 1.37629i −0.0466605 0.0808183i
\(291\) −5.23771 + 5.10703i −0.307040 + 0.299379i
\(292\) 2.06566 + 0.553492i 0.120884 + 0.0323906i
\(293\) −12.9513 3.47030i −0.756626 0.202737i −0.140171 0.990127i \(-0.544765\pi\)
−0.616455 + 0.787390i \(0.711432\pi\)
\(294\) 1.24012 1.20918i 0.0723252 0.0705206i
\(295\) 1.66115 + 2.87720i 0.0967160 + 0.167517i
\(296\) 0.271527 0.470299i 0.0157822 0.0273356i
\(297\) −5.77980 25.3812i −0.335378 1.47277i
\(298\) 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
\(303\) −10.5979 18.9035i −0.608831 1.08598i
\(304\) 1.66609 1.66609i 0.0955566 0.0955566i
\(305\) −4.50703 + 16.8205i −0.258072 + 0.963138i
\(306\) −0.917914 + 3.10927i −0.0524737 + 0.177745i
\(307\) −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
\(309\) 1.91655 + 1.13904i 0.109029 + 0.0647976i
\(310\) 11.1193 2.97940i 0.631531 0.169218i
\(311\) −10.8848 −0.617221 −0.308610 0.951189i \(-0.599864\pi\)
−0.308610 + 0.951189i \(0.599864\pi\)
\(312\) 1.36801 + 6.09332i 0.0774482 + 0.344966i
\(313\) −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
\(315\) 4.95489 + 3.03013i 0.279176 + 0.170728i
\(316\) −1.34120 + 0.774344i −0.0754486 + 0.0435603i
\(317\) −16.1698 16.1698i −0.908185 0.908185i 0.0879406 0.996126i \(-0.471971\pi\)
−0.996126 + 0.0879406i \(0.971971\pi\)
\(318\) 24.0603 + 6.77383i 1.34924 + 0.379858i
\(319\) 1.06434 3.97216i 0.0595914 0.222398i
\(320\) −1.36895 + 1.36895i −0.0765268 + 0.0765268i
\(321\) 8.49861 4.76456i 0.474346 0.265932i
\(322\) −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
\(327\) 8.18387 + 32.1624i 0.452569 + 1.77858i
\(328\) 2.68235 4.64597i 0.148108 0.256531i
\(329\) 0.0836003 + 0.144800i 0.00460904 + 0.00798308i
\(330\) −11.7274 12.0275i −0.645571 0.662091i
\(331\) −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
\(333\) −1.12252 1.18073i −0.0615138 0.0647034i
\(334\) 9.93141 + 17.2017i 0.543423 + 0.941235i
\(335\) 11.5450 19.9965i 0.630768 1.09252i
\(336\) 1.67856 0.427118i 0.0915731 0.0233012i
\(337\) 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
\(342\) −3.37853 6.20893i −0.182690 0.335740i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −1.47058 + 5.48826i −0.0792881 + 0.295907i
\(345\) 2.85541 10.1423i 0.153730 0.546041i
\(346\) 0.534272 + 0.534272i 0.0287226 + 0.0287226i
\(347\) 8.16785 4.71571i 0.438473 0.253152i −0.264477 0.964392i \(-0.585199\pi\)
0.702950 + 0.711240i \(0.251866\pi\)
\(348\) −0.726392 + 1.22223i −0.0389387 + 0.0655183i
\(349\) 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
\(351\) 18.6939 + 1.23966i 0.997808 + 0.0661684i
\(352\) −5.00966 −0.267016
\(353\) 20.9033 5.60102i 1.11257 0.298112i 0.344696 0.938714i \(-0.387982\pi\)
0.767873 + 0.640602i \(0.221315\pi\)
\(354\) 1.51856 2.55513i 0.0807106 0.135804i
\(355\) 16.9214 9.76956i 0.898093 0.518514i
\(356\) 11.9032 + 11.9032i 0.630867 + 0.630867i
\(357\) 0.507239 1.80169i 0.0268460 0.0953555i
\(358\) −2.83088 + 10.5650i −0.149616 + 0.558376i
\(359\) −17.6778 + 17.6778i −0.932998 + 0.932998i −0.997892 0.0648939i \(-0.979329\pi\)
0.0648939 + 0.997892i \(0.479329\pi\)
\(360\) 2.77600 + 5.10161i 0.146308 + 0.268878i
\(361\) −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
\(366\) 15.0983 3.84184i 0.789201 0.200816i
\(367\) 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
\(369\) −11.0891 11.6641i −0.577277 0.607210i
\(370\) −1.01552 0.272109i −0.0527946 0.0141463i
\(371\) −13.9395 3.73509i −0.723705 0.193916i
\(372\) −7.18982 7.37380i −0.372775 0.382314i
\(373\) 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
\(375\) −5.16971 20.3168i −0.266962 1.04916i
\(376\) 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
\(381\) −21.1617 + 11.8639i −1.08415 + 0.607804i
\(382\) 14.1031 14.1031i 0.721579 0.721579i
\(383\) −5.60300 + 20.9107i −0.286300 + 1.06848i 0.661585 + 0.749870i \(0.269884\pi\)
−0.947884 + 0.318615i \(0.896782\pi\)
\(384\) 1.66724 + 0.469386i 0.0850808 + 0.0239533i
\(385\) 6.85799 + 6.85799i 0.349515 + 0.349515i
\(386\) 21.4960 12.4107i 1.09412 0.631690i
\(387\) 14.5419 + 8.89301i 0.739207 + 0.452057i
\(388\) 4.07964 1.09314i 0.207113 0.0554956i
\(389\) 35.3336 1.79148 0.895742 0.444575i \(-0.146645\pi\)
0.895742 + 0.444575i \(0.146645\pi\)
\(390\) 10.7092 5.61140i 0.542281 0.284144i
\(391\) −3.39560 −0.171723
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 2.77456 + 1.64897i 0.139958 + 0.0831797i
\(394\) 18.1208 10.4620i 0.912911 0.527069i
\(395\) 2.12008 + 2.12008i 0.106673 + 0.106673i
\(396\) −4.25527 + 14.4140i −0.213836 + 0.724330i
\(397\) 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
\(399\) 1.99572 + 3.55980i 0.0999111 + 0.178213i
\(400\) −1.08421 0.625968i −0.0542104 0.0312984i
\(401\) 8.51826 + 31.7906i 0.425381 + 1.58755i 0.763088 + 0.646294i \(0.223682\pi\)
−0.337707 + 0.941251i \(0.609651\pi\)
\(402\) −20.6559 0.260950i −1.03022 0.0130150i
\(403\) −15.5827 + 14.7242i −0.776229 + 0.733464i
\(404\) 12.5121i 0.622501i
\(405\) 17.0365 3.65382i 0.846551 0.181560i
\(406\) 0.410435 0.710895i 0.0203696 0.0352811i
\(407\) −1.36026 2.35604i −0.0674255 0.116784i
\(408\) 1.34013 1.30669i 0.0663462 0.0646908i
\(409\) −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
\(411\) 19.3462 18.8635i 0.954276 0.930466i
\(412\) −0.643594 1.11474i −0.0317076 0.0549192i
\(413\) −0.858036 + 1.48616i −0.0422212 + 0.0731293i
\(414\) −9.16413 + 2.20898i −0.450393 + 0.108566i
\(415\) 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 0.932244 0.361829i \(-0.117848\pi\)
0.152769 + 0.988262i \(0.451181\pi\)
\(420\) −1.63980 2.92494i −0.0800141 0.142722i
\(421\) −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
\(423\) 0.481076 + 0.142023i 0.0233907 + 0.00690537i
\(424\) −10.2044 10.2044i −0.495572 0.495572i
\(425\) −1.17164 + 0.676449i −0.0568331 + 0.0328126i
\(426\) −15.0272 8.93095i −0.728071 0.432706i
\(427\) −8.68830 + 2.32802i −0.420456 + 0.112661i
\(428\) −5.62516 −0.271903
\(429\) 29.8625 + 9.32763i 1.44177 + 0.450342i
\(430\) 11.0001 0.530470
\(431\) −12.6301 + 3.38424i −0.608372 + 0.163013i −0.549836 0.835272i \(-0.685310\pi\)
−0.0585360 + 0.998285i \(0.518643\pi\)
\(432\) 2.76671 4.39833i 0.133113 0.211615i
\(433\) −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
\(435\) 2.64957 + 0.745948i 0.127037 + 0.0357655i
\(436\) 4.95915 18.5078i 0.237500 0.886363i
\(437\) 5.23518 5.23518i 0.250433 0.250433i
\(438\) −3.23093 + 1.81135i −0.154380 + 0.0865496i
\(439\) 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 \(0.265126\pi\)
−0.672720 + 0.739898i \(0.734874\pi\)
\(444\) 0.231948 + 0.911550i 0.0110078 + 0.0432602i
\(445\) 16.2949 28.2236i 0.772451 1.33792i
\(446\) −0.852144 1.47596i −0.0403502 0.0698886i
\(447\) −13.2749 13.6146i −0.627882 0.643949i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −14.2072 3.80679i −0.670477 0.179654i −0.0925073 0.995712i \(-0.529488\pi\)
−0.577970 + 0.816058i \(0.696155\pi\)
\(450\) −2.72200 + 2.58782i −0.128316 + 0.121991i
\(451\) −13.4377 23.2747i −0.632756 1.09596i
\(452\) 6.60364 11.4378i 0.310609 0.537991i
\(453\) −33.8694 + 8.61822i −1.59132 + 0.404919i
\(454\) 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
\(459\) −2.62133 4.96578i −0.122353 0.231783i
\(460\) −4.30153 + 4.30153i −0.200560 + 0.200560i
\(461\) −1.14954 + 4.29016i −0.0535396 + 0.199812i −0.987515 0.157525i \(-0.949649\pi\)
0.933975 + 0.357337i \(0.116315\pi\)
\(462\) 2.35146 8.35229i 0.109400 0.388584i
\(463\) −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
\(465\) −10.1866 + 17.1399i −0.472391 + 0.794846i
\(466\) −19.0119 + 5.09423i −0.880710 + 0.235985i
\(467\) −35.6614 −1.65021 −0.825106 0.564978i \(-0.808884\pi\)
−0.825106 + 0.564978i \(0.808884\pi\)
\(468\) −9.06439 5.90227i −0.419002 0.272833i
\(469\) 11.9267 0.550722
\(470\) 0.312669 0.0837795i 0.0144224 0.00386446i
\(471\) −1.42276 + 2.39393i −0.0655571 + 0.110306i
\(472\) −1.48616 + 0.858036i −0.0684062 + 0.0394943i
\(473\) 20.1273 + 20.1273i 0.925452 + 0.925452i
\(474\) 0.726933 2.58203i 0.0333891 0.118597i
\(475\) 0.763468 2.84930i 0.0350303 0.130735i
\(476\) −0.764131 + 0.764131i −0.0350239 + 0.0350239i
\(477\) −38.0284 + 20.6928i −1.74120 + 0.947459i
\(478\) 20.2421 + 11.6868i 0.925853 + 0.534542i
\(479\) −1.80118 6.72208i −0.0822978 0.307140i 0.912491 0.409097i \(-0.134156\pi\)
−0.994789 + 0.101957i \(0.967490\pi\)
\(480\) 0.0423586 3.35297i 0.00193340 0.153041i
\(481\) 1.90488 0.453014i 0.0868552 0.0206557i
\(482\) 3.45807i 0.157511i
\(483\) 5.27438 1.34209i 0.239993 0.0610673i
\(484\) −7.04835 + 12.2081i −0.320379 + 0.554913i
\(485\) −4.08839 7.08130i −0.185644 0.321545i
\(486\) −10.3050 11.6965i −0.467443 0.530563i
\(487\) 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
\(489\) 9.27491 + 9.51226i 0.419426 + 0.430159i
\(490\) 0.967996 + 1.67662i 0.0437296 + 0.0757419i
\(491\) 4.70139 8.14304i 0.212171 0.367490i −0.740223 0.672361i \(-0.765280\pi\)
0.952394 + 0.304871i \(0.0986134\pi\)
\(492\) 2.29136 + 9.00499i 0.103303 + 0.405976i
\(493\) 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
\(498\) 0.724135 0.405970i 0.0324493 0.0181920i
\(499\) −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
\(501\) −33.1160 9.32333i −1.47951 0.416536i
\(502\) −12.7838 12.7838i −0.570571 0.570571i
\(503\) −17.6305 + 10.1790i −0.786105 + 0.453858i −0.838590 0.544764i \(-0.816619\pi\)
0.0524842 + 0.998622i \(0.483286\pi\)
\(504\) −1.56515 + 2.55935i −0.0697175 + 0.114003i
\(505\) 23.3979 6.26946i 1.04120 0.278987i
\(506\) −15.7414 −0.699789
\(507\) −12.5810 + 18.6740i −0.558743 + 0.829341i
\(508\) 14.0068 0.621451
\(509\) −40.7355 + 10.9151i −1.80557 + 0.483801i −0.994826 0.101598i \(-0.967604\pi\)
−0.810745 + 0.585399i \(0.800938\pi\)
\(510\) −3.11504 1.85133i −0.137936 0.0819781i
\(511\) 1.85202 1.06926i 0.0819285 0.0473014i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 11.6975 + 3.61456i 0.516456 + 0.159587i
\(514\) −5.49693 + 20.5148i −0.242459 + 0.904871i
\(515\) −1.76210 + 1.76210i −0.0776474 + 0.0776474i
\(516\) −4.81259 8.58428i −0.211862 0.377902i
\(517\) 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 \(0.431724\pi\)
−0.212854 + 0.977084i \(0.568276\pi\)
\(522\) −0.577076 2.39404i −0.0252579 0.104784i
\(523\) 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
\(525\) 1.55255 1.51381i 0.0677588 0.0660681i
\(526\) 9.57036 + 2.56437i 0.417288 + 0.111812i
\(527\) 6.20662 + 1.66306i 0.270365 + 0.0724440i
\(528\) 6.21257 6.05756i 0.270367 0.263621i
\(529\) 6.56328 + 11.3679i 0.285360 + 0.494258i
\(530\) −13.9694 + 24.1957i −0.606792 + 1.05100i
\(531\) 1.20641 + 5.00487i 0.0523536 + 0.217193i
\(532\) 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
\(537\) −9.26429 16.5248i −0.399784 0.713100i
\(538\) 17.3453 17.3453i 0.747808 0.747808i
\(539\) −1.29660 + 4.83896i −0.0558483 + 0.208429i
\(540\) −9.61131 2.96993i −0.413605 0.127806i
\(541\) 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
\(543\) 32.3362 + 19.2180i 1.38768 + 0.824722i
\(544\) −1.04382 + 0.279691i −0.0447535 + 0.0119917i
\(545\) −37.0949 −1.58897
\(546\) 5.27596 + 3.34130i 0.225790 + 0.142994i
\(547\) 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
\(549\) −14.0782 + 23.0208i −0.600844 + 0.982506i
\(550\) −5.43151 + 3.13589i −0.231601 + 0.133715i
\(551\) 1.36764 + 1.36764i 0.0582635 + 0.0582635i
\(552\) 5.23879 + 1.47491i 0.222978 + 0.0627762i
\(553\) −0.400830 + 1.49592i −0.0170450 + 0.0636129i
\(554\) −10.1250 + 10.1250i −0.430170 + 0.430170i
\(555\) 1.58840 0.890500i 0.0674237 0.0377996i
\(556\) 8.11872 + 4.68734i 0.344310 + 0.198788i
\(557\) −4.55992 17.0179i −0.193210 0.721070i −0.992723 0.120421i \(-0.961576\pi\)
0.799513 0.600649i \(-0.205091\pi\)
\(558\) 17.8325 + 0.450633i 0.754908 + 0.0190768i
\(559\) −18.0246 + 9.73667i −0.762358 + 0.411817i
\(560\) 1.93599i 0.0818106i
\(561\) −2.31227 9.08717i −0.0976242 0.383660i
\(562\) 1.42194 2.46287i 0.0599809 0.103890i
\(563\) 13.1207 + 22.7258i 0.552972 + 0.957776i 0.998058 + 0.0622884i \(0.0198398\pi\)
−0.445086 + 0.895488i \(0.646827\pi\)
\(564\) −0.202175 0.207349i −0.00851310 0.00873095i
\(565\) −24.6979 6.61779i −1.03905 0.278413i
\(566\) −20.8077 5.57539i −0.874611 0.234351i
\(567\) 6.03440 + 6.67727i 0.253421 + 0.280419i
\(568\) 5.04628 + 8.74041i 0.211737 + 0.366740i
\(569\) 7.41148 12.8371i 0.310705 0.538157i −0.667810 0.744332i \(-0.732768\pi\)
0.978515 + 0.206174i \(0.0661014\pi\)
\(570\) 7.65691 1.94834i 0.320713 0.0816068i
\(571\) 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
\(576\) −2.63514 + 1.43389i −0.109798 + 0.0597453i
\(577\) 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
\(579\) −11.6509 + 41.3833i −0.484193 + 1.71983i
\(580\) −1.12373 1.12373i −0.0466605 0.0466605i
\(581\) −0.415085 + 0.239650i −0.0172206 + 0.00994234i
\(582\) −3.73745 + 6.28863i −0.154922 + 0.260672i
\(583\) −69.8323 + 18.7115i −2.89216 + 0.774952i
\(584\) 2.13853 0.0884929
\(585\) −6.49549 + 19.9081i −0.268555 + 0.823098i
\(586\) −13.4082 −0.553888
\(587\) −14.4371 + 3.86840i −0.595881 + 0.159666i −0.544140 0.838995i \(-0.683144\pi\)
−0.0517414 + 0.998661i \(0.516477\pi\)
\(588\) 0.884905 1.48894i 0.0364928 0.0614029i
\(589\) −12.1331 + 7.00505i −0.499936 + 0.288638i
\(590\) 2.34922 + 2.34922i 0.0967160 + 0.0967160i
\(591\) −9.82146 + 34.8853i −0.404001 + 1.43499i
\(592\) 0.140553 0.524550i 0.00577668 0.0215589i
\(593\) 11.2075 11.2075i 0.460239 0.460239i −0.438495 0.898734i \(-0.644488\pi\)
0.898734 + 0.438495i \(0.144488\pi\)
\(594\) −12.1520 23.0204i −0.498602 0.944539i
\(595\) 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 \(-0.867943\pi\)
0.915168 0.403072i \(-0.132057\pi\)
\(600\) 2.10145 0.534724i 0.0857914 0.0218300i
\(601\) −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
\(603\) 25.9313 24.6530i 1.05601 1.00395i
\(604\) 19.4901 + 5.22235i 0.793040 + 0.212494i
\(605\) 26.3612 + 7.06345i 1.07173 + 0.287170i
\(606\) −15.1293 15.5165i −0.614587 0.630315i
\(607\) −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
\(609\) 0.350609 + 1.37788i 0.0142074 + 0.0558346i
\(610\) 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
\(615\) 15.6914 8.79705i 0.632739 0.354731i
\(616\) −3.54236 + 3.54236i −0.142726 + 0.142726i
\(617\) 5.55124 20.7175i 0.223484 0.834055i −0.759522 0.650482i \(-0.774567\pi\)
0.983006 0.183573i \(-0.0587664\pi\)
\(618\) 2.14605 + 0.604188i 0.0863267 + 0.0243040i
\(619\) −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
\(621\) 8.69356 13.8204i 0.348861 0.554596i
\(622\) −10.5139 + 2.81720i −0.421570 + 0.112959i
\(623\) 16.8336 0.674425
\(624\) 2.89846 + 5.53163i 0.116031 + 0.221442i
\(625\) 17.1730 0.686919
\(626\) −25.4545 + 6.82051i −1.01737 + 0.272602i
\(627\) 17.5751 + 10.4452i 0.701883 + 0.417142i
\(628\) 1.39240 0.803903i 0.0555629 0.0320792i
\(629\) −0.414964 0.414964i −0.0165457 0.0165457i
\(630\) 5.57031 + 1.64446i 0.221926 + 0.0655168i
\(631\) −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
\(633\) 2.62404 + 4.68054i 0.104296 + 0.186035i
\(634\) −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
\(639\) 29.4346 7.09512i 1.16442 0.280679i
\(640\) −0.967996 + 1.67662i −0.0382634 + 0.0662741i
\(641\) −9.14555 15.8406i −0.361228 0.625664i 0.626936 0.779071i \(-0.284309\pi\)
−0.988163 + 0.153407i \(0.950976\pi\)
\(642\) 6.97587 6.80181i 0.275316 0.268446i
\(643\) −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
\(645\) −13.6414 + 13.3010i −0.537128 + 0.523726i
\(646\) −1.27311 2.20509i −0.0500898 0.0867581i
\(647\) −4.83585 + 8.37595i −0.190117 + 0.329292i −0.945289 0.326235i \(-0.894220\pi\)
0.755172 + 0.655527i \(0.227553\pi\)
\(648\) 1.88731 + 8.79989i 0.0741406 + 0.345692i
\(649\) 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 −0.0128859 0.999917i \(-0.504102\pi\)
−0.872396 + 0.488799i \(0.837435\pi\)
\(654\) 16.2293 + 28.9484i 0.634614 + 1.13197i
\(655\) −2.55097 + 2.55097i −0.0996747 + 0.0996747i
\(656\) 1.38849 5.18191i 0.0542114 0.202320i
\(657\) 1.81649 6.15305i 0.0708682 0.240053i
\(658\) 0.118229 + 0.118229i 0.00460904 + 0.00460904i
\(659\) 19.6160 11.3253i 0.764132 0.441172i −0.0666453 0.997777i \(-0.521230\pi\)
0.830777 + 0.556605i \(0.187896\pi\)
\(660\) −14.4407 8.58239i −0.562105 0.334069i
\(661\) 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
\(663\) 6.74296 + 0.276291i 0.261875 + 0.0107303i
\(664\) −0.479299 −0.0186004
\(665\) −4.40616 + 1.18063i −0.170863 + 0.0457827i
\(666\) −1.38987 0.849964i −0.0538563 0.0329354i
\(667\) 2.23378 1.28967i 0.0864921 0.0499363i
\(668\) 14.0451 + 14.0451i 0.543423 + 0.543423i
\(669\) 2.84145 + 0.799969i 0.109857 + 0.0309286i
\(670\) 5.97611 22.3031i 0.230877 0.861646i
\(671\) −31.8628 + 31.8628i −1.23005 + 1.23005i
\(672\) 1.51082 0.847008i 0.0582812 0.0326740i
\(673\) 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 \(-0.632734\pi\)
0.405015 0.914310i \(-0.367266\pi\)
\(678\) 5.64106 + 22.1692i 0.216644 + 0.851404i
\(679\) 2.11178 3.65771i 0.0810427 0.140370i
\(680\) 1.04606 + 1.81183i 0.0401145 + 0.0694804i
\(681\) 11.2015 + 11.4881i 0.429242 + 0.440226i
\(682\) 28.7727 + 7.70962i 1.10176 + 0.295217i
\(683\) 29.7216 + 7.96389i 1.13727 + 0.304730i 0.777852 0.628448i \(-0.216309\pi\)
0.359415 + 0.933178i \(0.382976\pi\)
\(684\) −4.87040 5.12293i −0.186224 0.195880i
\(685\) 15.1010 + 26.1557i 0.576979 + 0.999357i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −31.3540 + 7.97817i −1.19623 + 0.304386i
\(688\) 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
\(693\) 7.18329 + 13.2012i 0.272871 + 0.501470i
\(694\) 6.66902 6.66902i 0.253152 0.253152i
\(695\) 4.69739 17.5309i 0.178182 0.664985i
\(696\) −0.385305 + 1.36859i −0.0146050 + 0.0518761i
\(697\) −4.09934 4.09934i −0.155274 0.155274i
\(698\) 26.5394 15.3225i 1.00453 0.579967i
\(699\) 17.4172 29.3062i 0.658779 1.10846i
\(700\) −1.20928 + 0.324025i −0.0457064 + 0.0122470i
\(701\) −0.0793469 −0.00299689 −0.00149845 0.999999i \(-0.500477\pi\)
−0.00149845 + 0.999999i \(0.500477\pi\)
\(702\) 18.3778 3.64092i 0.693626 0.137418i
\(703\) 1.27955 0.0482590
\(704\) −4.83896 + 1.29660i −0.182375 + 0.0488673i
\(705\) −0.286443 + 0.481969i −0.0107881 + 0.0181520i
\(706\) 18.7414 10.8203i 0.705341 0.407229i
\(707\) 8.84740 + 8.84740i 0.332741 + 0.332741i
\(708\) 0.805500 2.86110i 0.0302726 0.107527i
\(709\) 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
\(711\) 2.22065 + 4.08101i 0.0832807 + 0.153050i
\(712\) 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
\(717\) −39.2340 + 9.98328i −1.46522 + 0.372832i
\(718\) −12.5001 + 21.6508i −0.466499 + 0.808000i
\(719\) −0.842006 1.45840i −0.0314015 0.0543890i 0.849898 0.526948i \(-0.176664\pi\)
−0.881299 + 0.472559i \(0.843330\pi\)
\(720\) 4.00180 + 4.20930i 0.149138 + 0.156871i
\(721\) −1.24333 0.333149i −0.0463040 0.0124071i
\(722\) −12.9901 3.48068i −0.483440 0.129537i
\(723\) 4.18141 + 4.28842i 0.155508 + 0.159488i
\(724\) −10.8588 18.8080i −0.403564 0.698993i
\(725\) 0.513839 0.889995i 0.0190835 0.0330536i
\(726\) −6.02095 23.6622i −0.223458 0.878185i
\(727\) 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
\(732\) 13.5895 7.61866i 0.502283 0.281594i
\(733\) −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
\(735\) −3.22776 0.908727i −0.119058 0.0335189i
\(736\) −2.22187 2.22187i −0.0818993 0.0818993i
\(737\) 51.7437 29.8743i 1.90600 1.10043i
\(738\) −13.7302 8.39660i −0.505415 0.309083i
\(739\) −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
\(741\) −10.8220 + 9.97001i −0.397555 + 0.366258i
\(742\) −14.4313 −0.529789
\(743\) 11.2794 3.02232i 0.413803 0.110878i −0.0459104 0.998946i \(-0.514619\pi\)
0.459713 + 0.888067i \(0.347952\pi\)
\(744\) −8.85331 5.26169i −0.324578 0.192903i
\(745\) 18.4067 10.6271i 0.674370 0.389348i
\(746\) 8.57957 + 8.57957i 0.314121 + 0.314121i
\(747\) −0.407123 + 1.37906i −0.0148959 + 0.0504571i
\(748\) −1.40116 + 5.22919i −0.0512314 + 0.191198i
\(749\) −3.97759 + 3.97759i −0.145338 + 0.145338i
\(750\) −10.2519 18.2865i −0.374347 0.667729i
\(751\) −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
\(756\) −1.15373 5.06645i −0.0419608 0.184265i
\(757\) 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
\(759\) 19.5212 19.0341i 0.708573 0.690893i
\(760\) −4.40616 1.18063i −0.159828 0.0428258i
\(761\) −34.8239 9.33104i −1.26237 0.338250i −0.435264 0.900303i \(-0.643345\pi\)
−0.827101 + 0.562053i \(0.810012\pi\)
\(762\) −17.3701 + 16.9367i −0.629252 + 0.613551i
\(763\) −9.58034 16.5936i −0.346832 0.600730i
\(764\) 9.97242 17.2727i 0.360789 0.624905i
\(765\) 6.10160 1.47077i 0.220604 0.0531758i
\(766\) 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
\(771\) −17.9892 32.0876i −0.647865 1.15561i
\(772\) 17.5514 17.5514i 0.631690 0.631690i
\(773\) −3.54196 + 13.2188i −0.127396 + 0.475447i −0.999914