Properties

Label 403.2.bs.a.4.11
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.319792 + 1.50450i) q^{2} +(-0.741178 - 0.823162i) q^{3} +(-0.334172 - 0.148783i) q^{4} -1.09342i q^{5} +(1.47547 - 0.851865i) q^{6} +(1.19871 - 2.69235i) q^{7} +(-1.47745 + 2.03354i) q^{8} +(0.185335 - 1.76335i) q^{9} +O(q^{10})\) \(q+(-0.319792 + 1.50450i) q^{2} +(-0.741178 - 0.823162i) q^{3} +(-0.334172 - 0.148783i) q^{4} -1.09342i q^{5} +(1.47547 - 0.851865i) q^{6} +(1.19871 - 2.69235i) q^{7} +(-1.47745 + 2.03354i) q^{8} +(0.185335 - 1.76335i) q^{9} +(1.64506 + 0.349668i) q^{10} +(-6.28754 + 0.660847i) q^{11} +(0.125208 + 0.385352i) q^{12} +(0.607479 - 3.55401i) q^{13} +(3.66731 + 2.66446i) q^{14} +(-0.900065 + 0.810422i) q^{15} +(-3.07652 - 3.41682i) q^{16} +(0.0196837 - 0.187278i) q^{17} +(2.59369 + 0.842741i) q^{18} +(-4.97125 - 4.47613i) q^{19} +(-0.162683 + 0.365391i) q^{20} +(-3.10470 + 1.00878i) q^{21} +(1.01646 - 9.67095i) q^{22} +(1.06409 - 0.473761i) q^{23} +(2.76899 - 0.291032i) q^{24} +3.80442 q^{25} +(5.15275 + 2.05050i) q^{26} +(-4.27727 + 3.10762i) q^{27} +(-0.801151 + 0.721359i) q^{28} +(5.10745 + 1.08562i) q^{29} +(-0.931449 - 1.61332i) q^{30} +(5.55998 + 0.294333i) q^{31} +(1.77079 - 1.02237i) q^{32} +(5.20417 + 4.68586i) q^{33} +(0.275466 + 0.0895043i) q^{34} +(-2.94388 - 1.31070i) q^{35} +(-0.324289 + 0.561686i) q^{36} +(-3.34860 - 1.93331i) q^{37} +(8.32412 - 6.04783i) q^{38} +(-3.37577 + 2.13410i) q^{39} +(2.22352 + 1.61548i) q^{40} +(1.19896 - 5.64068i) q^{41} +(-0.524851 - 4.99363i) q^{42} +(-2.02263 + 2.24636i) q^{43} +(2.19944 + 0.714641i) q^{44} +(-1.92809 - 0.202650i) q^{45} +(0.372489 + 1.75242i) q^{46} +(10.4789 + 3.40479i) q^{47} +(-0.532347 + 5.06495i) q^{48} +(-1.12792 - 1.25268i) q^{49} +(-1.21662 + 5.72377i) q^{50} +(-0.168749 + 0.122604i) q^{51} +(-0.731778 + 1.09727i) q^{52} +(-5.63838 - 4.09652i) q^{53} +(-3.30758 - 7.42895i) q^{54} +(0.722586 + 6.87494i) q^{55} +(3.70396 + 6.41544i) q^{56} +7.40976i q^{57} +(-3.26664 + 7.33700i) q^{58} +(-0.595603 - 2.80209i) q^{59} +(0.421353 - 0.136906i) q^{60} +(5.43465 + 9.41309i) q^{61} +(-2.22086 + 8.27088i) q^{62} +(-4.52538 - 2.61273i) q^{63} +(-1.86972 - 5.75440i) q^{64} +(-3.88604 - 0.664233i) q^{65} +(-8.71414 + 6.33119i) q^{66} +(-2.04786 - 1.18233i) q^{67} +(-0.0344415 + 0.0596545i) q^{68} +(-1.17866 - 0.524773i) q^{69} +(2.91338 - 4.00992i) q^{70} +(-3.48505 - 0.366294i) q^{71} +(3.31201 + 2.98215i) q^{72} +(-7.29034 - 10.0343i) q^{73} +(3.97953 - 4.41972i) q^{74} +(-2.81976 - 3.13166i) q^{75} +(0.995280 + 2.23543i) q^{76} +(-5.75771 + 17.7204i) q^{77} +(-2.13121 - 5.76133i) q^{78} +(8.83661 + 6.42017i) q^{79} +(-3.73603 + 3.36394i) q^{80} +(0.525349 + 0.111666i) q^{81} +(8.10300 + 3.60769i) q^{82} +(-3.25750 + 1.05843i) q^{83} +(1.18759 + 0.124821i) q^{84} +(-0.204774 - 0.0215227i) q^{85} +(-2.73283 - 3.76142i) q^{86} +(-2.89189 - 5.00890i) q^{87} +(7.94568 - 13.7623i) q^{88} +(7.22060 - 0.758916i) q^{89} +(0.921474 - 2.83600i) q^{90} +(-8.84044 - 5.89577i) q^{91} -0.426075 q^{92} +(-3.87865 - 4.79492i) q^{93} +(-8.47358 + 14.6767i) q^{94} +(-4.89431 + 5.43569i) q^{95} +(-2.15405 - 0.699893i) q^{96} +(-1.84168 + 4.13648i) q^{97} +(2.24536 - 1.29636i) q^{98} +11.2096i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.319792 + 1.50450i −0.226127 + 1.06384i 0.707809 + 0.706404i \(0.249684\pi\)
−0.933936 + 0.357440i \(0.883650\pi\)
\(3\) −0.741178 0.823162i −0.427920 0.475253i 0.490169 0.871627i \(-0.336935\pi\)
−0.918089 + 0.396374i \(0.870268\pi\)
\(4\) −0.334172 0.148783i −0.167086 0.0743914i
\(5\) 1.09342i 0.488994i −0.969650 0.244497i \(-0.921377\pi\)
0.969650 0.244497i \(-0.0786229\pi\)
\(6\) 1.47547 0.851865i 0.602359 0.347772i
\(7\) 1.19871 2.69235i 0.453070 1.01761i −0.532202 0.846618i \(-0.678635\pi\)
0.985272 0.170995i \(-0.0546981\pi\)
\(8\) −1.47745 + 2.03354i −0.522358 + 0.718965i
\(9\) 0.185335 1.76335i 0.0617784 0.587782i
\(10\) 1.64506 + 0.349668i 0.520214 + 0.110575i
\(11\) −6.28754 + 0.660847i −1.89576 + 0.199253i −0.979517 0.201362i \(-0.935463\pi\)
−0.916247 + 0.400615i \(0.868797\pi\)
\(12\) 0.125208 + 0.385352i 0.0361446 + 0.111242i
\(13\) 0.607479 3.55401i 0.168484 0.985704i
\(14\) 3.66731 + 2.66446i 0.980130 + 0.712106i
\(15\) −0.900065 + 0.810422i −0.232396 + 0.209250i
\(16\) −3.07652 3.41682i −0.769130 0.854205i
\(17\) 0.0196837 0.187278i 0.00477401 0.0454216i −0.991876 0.127212i \(-0.959397\pi\)
0.996650 + 0.0817904i \(0.0260638\pi\)
\(18\) 2.59369 + 0.842741i 0.611339 + 0.198636i
\(19\) −4.97125 4.47613i −1.14048 1.02690i −0.999319 0.0369096i \(-0.988249\pi\)
−0.141165 0.989986i \(-0.545085\pi\)
\(20\) −0.162683 + 0.365391i −0.0363770 + 0.0817040i
\(21\) −3.10470 + 1.00878i −0.677501 + 0.220133i
\(22\) 1.01646 9.67095i 0.216710 2.06185i
\(23\) 1.06409 0.473761i 0.221877 0.0987860i −0.292788 0.956177i \(-0.594583\pi\)
0.514665 + 0.857391i \(0.327916\pi\)
\(24\) 2.76899 0.291032i 0.565217 0.0594067i
\(25\) 3.80442 0.760885
\(26\) 5.15275 + 2.05050i 1.01054 + 0.402136i
\(27\) −4.27727 + 3.10762i −0.823160 + 0.598061i
\(28\) −0.801151 + 0.721359i −0.151403 + 0.136324i
\(29\) 5.10745 + 1.08562i 0.948429 + 0.201595i 0.656058 0.754710i \(-0.272222\pi\)
0.292371 + 0.956305i \(0.405556\pi\)
\(30\) −0.931449 1.61332i −0.170059 0.294550i
\(31\) 5.55998 + 0.294333i 0.998602 + 0.0528639i
\(32\) 1.77079 1.02237i 0.313035 0.180731i
\(33\) 5.20417 + 4.68586i 0.905930 + 0.815703i
\(34\) 0.275466 + 0.0895043i 0.0472420 + 0.0153499i
\(35\) −2.94388 1.31070i −0.497606 0.221549i
\(36\) −0.324289 + 0.561686i −0.0540482 + 0.0936143i
\(37\) −3.34860 1.93331i −0.550506 0.317835i 0.198820 0.980036i \(-0.436289\pi\)
−0.749326 + 0.662201i \(0.769622\pi\)
\(38\) 8.32412 6.04783i 1.35035 0.981088i
\(39\) −3.37577 + 2.13410i −0.540557 + 0.341729i
\(40\) 2.22352 + 1.61548i 0.351570 + 0.255430i
\(41\) 1.19896 5.64068i 0.187247 0.880926i −0.779741 0.626103i \(-0.784649\pi\)
0.966987 0.254824i \(-0.0820175\pi\)
\(42\) −0.524851 4.99363i −0.0809863 0.770533i
\(43\) −2.02263 + 2.24636i −0.308449 + 0.342567i −0.877361 0.479832i \(-0.840698\pi\)
0.568912 + 0.822398i \(0.307364\pi\)
\(44\) 2.19944 + 0.714641i 0.331578 + 0.107736i
\(45\) −1.92809 0.202650i −0.287422 0.0302093i
\(46\) 0.372489 + 1.75242i 0.0549205 + 0.258381i
\(47\) 10.4789 + 3.40479i 1.52850 + 0.496640i 0.948176 0.317746i \(-0.102926\pi\)
0.580324 + 0.814385i \(0.302926\pi\)
\(48\) −0.532347 + 5.06495i −0.0768377 + 0.731062i
\(49\) −1.12792 1.25268i −0.161131 0.178955i
\(50\) −1.21662 + 5.72377i −0.172057 + 0.809463i
\(51\) −0.168749 + 0.122604i −0.0236296 + 0.0171679i
\(52\) −0.731778 + 1.09727i −0.101479 + 0.152163i
\(53\) −5.63838 4.09652i −0.774491 0.562701i 0.128830 0.991667i \(-0.458878\pi\)
−0.903321 + 0.428966i \(0.858878\pi\)
\(54\) −3.30758 7.42895i −0.450105 1.01095i
\(55\) 0.722586 + 6.87494i 0.0974335 + 0.927017i
\(56\) 3.70396 + 6.41544i 0.494962 + 0.857300i
\(57\) 7.40976i 0.981447i
\(58\) −3.26664 + 7.33700i −0.428931 + 0.963395i
\(59\) −0.595603 2.80209i −0.0775409 0.364801i 0.922220 0.386666i \(-0.126373\pi\)
−0.999761 + 0.0218641i \(0.993040\pi\)
\(60\) 0.421353 0.136906i 0.0543965 0.0176745i
\(61\) 5.43465 + 9.41309i 0.695836 + 1.20522i 0.969898 + 0.243511i \(0.0782992\pi\)
−0.274062 + 0.961712i \(0.588367\pi\)
\(62\) −2.22086 + 8.27088i −0.282050 + 1.05040i
\(63\) −4.52538 2.61273i −0.570144 0.329173i
\(64\) −1.86972 5.75440i −0.233715 0.719300i
\(65\) −3.88604 0.664233i −0.482004 0.0823879i
\(66\) −8.71414 + 6.33119i −1.07264 + 0.779316i
\(67\) −2.04786 1.18233i −0.250186 0.144445i 0.369663 0.929166i \(-0.379473\pi\)
−0.619849 + 0.784721i \(0.712806\pi\)
\(68\) −0.0344415 + 0.0596545i −0.00417665 + 0.00723417i
\(69\) −1.17866 0.524773i −0.141894 0.0631752i
\(70\) 2.91338 4.00992i 0.348216 0.479278i
\(71\) −3.48505 0.366294i −0.413600 0.0434711i −0.104556 0.994519i \(-0.533342\pi\)
−0.309044 + 0.951048i \(0.600009\pi\)
\(72\) 3.31201 + 2.98215i 0.390324 + 0.351449i
\(73\) −7.29034 10.0343i −0.853270 1.17443i −0.983133 0.182893i \(-0.941454\pi\)
0.129863 0.991532i \(-0.458546\pi\)
\(74\) 3.97953 4.41972i 0.462611 0.513782i
\(75\) −2.81976 3.13166i −0.325597 0.361613i
\(76\) 0.995280 + 2.23543i 0.114166 + 0.256422i
\(77\) −5.75771 + 17.7204i −0.656152 + 2.01943i
\(78\) −2.13121 5.76133i −0.241312 0.652342i
\(79\) 8.83661 + 6.42017i 0.994197 + 0.722326i 0.960836 0.277117i \(-0.0893791\pi\)
0.0333604 + 0.999443i \(0.489379\pi\)
\(80\) −3.73603 + 3.36394i −0.417701 + 0.376100i
\(81\) 0.525349 + 0.111666i 0.0583721 + 0.0124074i
\(82\) 8.10300 + 3.60769i 0.894827 + 0.398403i
\(83\) −3.25750 + 1.05843i −0.357557 + 0.116177i −0.482287 0.876014i \(-0.660194\pi\)
0.124730 + 0.992191i \(0.460194\pi\)
\(84\) 1.18759 + 0.124821i 0.129577 + 0.0136191i
\(85\) −0.204774 0.0215227i −0.0222109 0.00233446i
\(86\) −2.73283 3.76142i −0.294689 0.405605i
\(87\) −2.89189 5.00890i −0.310043 0.537010i
\(88\) 7.94568 13.7623i 0.847012 1.46707i
\(89\) 7.22060 0.758916i 0.765382 0.0804449i 0.286211 0.958167i \(-0.407604\pi\)
0.479171 + 0.877722i \(0.340937\pi\)
\(90\) 0.921474 2.83600i 0.0971319 0.298941i
\(91\) −8.84044 5.89577i −0.926729 0.618045i
\(92\) −0.426075 −0.0444214
\(93\) −3.87865 4.79492i −0.402197 0.497210i
\(94\) −8.47358 + 14.6767i −0.873983 + 1.51378i
\(95\) −4.89431 + 5.43569i −0.502146 + 0.557690i
\(96\) −2.15405 0.699893i −0.219847 0.0714325i
\(97\) −1.84168 + 4.13648i −0.186994 + 0.419996i −0.982579 0.185847i \(-0.940497\pi\)
0.795585 + 0.605842i \(0.207164\pi\)
\(98\) 2.24536 1.29636i 0.226816 0.130952i
\(99\) 11.2096i 1.12661i
\(100\) −1.27133 0.566033i −0.127133 0.0566033i
\(101\) 7.41707 3.30229i 0.738026 0.328591i −0.00306439 0.999995i \(-0.500975\pi\)
0.741091 + 0.671405i \(0.234309\pi\)
\(102\) −0.130493 0.293092i −0.0129207 0.0290204i
\(103\) 0.803263 + 2.47219i 0.0791478 + 0.243592i 0.982799 0.184677i \(-0.0591237\pi\)
−0.903652 + 0.428269i \(0.859124\pi\)
\(104\) 6.32969 + 6.48621i 0.620677 + 0.636025i
\(105\) 1.10302 + 3.39475i 0.107644 + 0.331294i
\(106\) 7.96634 7.17292i 0.773759 0.696696i
\(107\) −9.76930 + 4.34957i −0.944434 + 0.420489i −0.820401 0.571789i \(-0.806250\pi\)
−0.124033 + 0.992278i \(0.539583\pi\)
\(108\) 1.89170 0.402094i 0.182029 0.0386915i
\(109\) −1.24129 0.403321i −0.118894 0.0386311i 0.248966 0.968512i \(-0.419909\pi\)
−0.367860 + 0.929881i \(0.619909\pi\)
\(110\) −10.5745 1.11142i −1.00823 0.105970i
\(111\) 0.890478 + 4.18937i 0.0845204 + 0.397637i
\(112\) −12.8871 + 4.18728i −1.21772 + 0.395661i
\(113\) −14.1578 6.30345i −1.33185 0.592979i −0.387486 0.921876i \(-0.626656\pi\)
−0.944366 + 0.328897i \(0.893323\pi\)
\(114\) −11.1480 2.36958i −1.04411 0.221932i
\(115\) −0.518022 1.16350i −0.0483058 0.108497i
\(116\) −1.54524 1.12268i −0.143472 0.104239i
\(117\) −6.15436 1.72988i −0.568971 0.159927i
\(118\) 4.40623 0.405626
\(119\) −0.480623 0.277488i −0.0440586 0.0254373i
\(120\) −0.318222 3.02768i −0.0290495 0.276388i
\(121\) 28.3368 6.02317i 2.57607 0.547561i
\(122\) −15.9000 + 5.16622i −1.43952 + 0.467727i
\(123\) −5.53184 + 3.19381i −0.498789 + 0.287976i
\(124\) −1.81420 0.925587i −0.162920 0.0831202i
\(125\) 9.62697i 0.861062i
\(126\) 5.37804 5.97292i 0.479114 0.532110i
\(127\) −0.349662 0.388339i −0.0310275 0.0344595i 0.727431 0.686180i \(-0.240714\pi\)
−0.758459 + 0.651721i \(0.774047\pi\)
\(128\) 13.3225 1.40025i 1.17755 0.123766i
\(129\) 3.34825 0.294797
\(130\) 2.24206 5.63414i 0.196642 0.494147i
\(131\) 5.50739 4.00135i 0.481183 0.349600i −0.320601 0.947214i \(-0.603885\pi\)
0.801783 + 0.597615i \(0.203885\pi\)
\(132\) −1.04191 2.34017i −0.0906868 0.203686i
\(133\) −18.0104 + 8.01875i −1.56170 + 0.695314i
\(134\) 2.43371 2.70291i 0.210241 0.233496i
\(135\) 3.39794 + 4.67687i 0.292448 + 0.402521i
\(136\) 0.351756 + 0.316722i 0.0301628 + 0.0271587i
\(137\) 2.47573 + 11.6474i 0.211516 + 0.995104i 0.947907 + 0.318548i \(0.103195\pi\)
−0.736391 + 0.676556i \(0.763471\pi\)
\(138\) 1.16645 1.60548i 0.0992947 0.136667i
\(139\) −7.45064 + 1.58368i −0.631955 + 0.134326i −0.512742 0.858543i \(-0.671370\pi\)
−0.119213 + 0.992869i \(0.538037\pi\)
\(140\) 0.788752 + 0.875997i 0.0666617 + 0.0740353i
\(141\) −4.96402 11.1494i −0.418046 0.938946i
\(142\) 1.66558 5.12614i 0.139773 0.430176i
\(143\) −1.47090 + 22.7474i −0.123002 + 1.90223i
\(144\) −6.59522 + 4.79171i −0.549602 + 0.399309i
\(145\) 1.18704 5.58461i 0.0985787 0.463776i
\(146\) 17.4280 7.75945i 1.44235 0.642177i
\(147\) −0.195170 + 1.85692i −0.0160974 + 0.153156i
\(148\) 0.831363 + 1.14427i 0.0683376 + 0.0940586i
\(149\) 4.64654 2.68268i 0.380660 0.219774i −0.297446 0.954739i \(-0.596135\pi\)
0.678105 + 0.734965i \(0.262801\pi\)
\(150\) 5.61332 3.24085i 0.458326 0.264615i
\(151\) −6.81891 9.38542i −0.554915 0.763774i 0.435754 0.900066i \(-0.356482\pi\)
−0.990669 + 0.136291i \(0.956482\pi\)
\(152\) 16.4472 3.49596i 1.33404 0.283559i
\(153\) −0.326588 0.0694184i −0.0264031 0.00561215i
\(154\) −24.8191 14.3293i −1.99998 1.15469i
\(155\) 0.321831 6.07942i 0.0258501 0.488310i
\(156\) 1.44561 0.210898i 0.115741 0.0168854i
\(157\) 3.00815 + 9.25813i 0.240076 + 0.738879i 0.996407 + 0.0846901i \(0.0269900\pi\)
−0.756331 + 0.654189i \(0.773010\pi\)
\(158\) −12.4851 + 11.2416i −0.993257 + 0.894333i
\(159\) 0.806943 + 7.67755i 0.0639948 + 0.608870i
\(160\) −1.11788 1.93623i −0.0883764 0.153072i
\(161\) 3.43279i 0.270542i
\(162\) −0.336005 + 0.754679i −0.0263990 + 0.0592931i
\(163\) 13.0865 + 1.37545i 1.02501 + 0.107733i 0.602087 0.798431i \(-0.294336\pi\)
0.422927 + 0.906164i \(0.361003\pi\)
\(164\) −1.23990 + 1.70657i −0.0968196 + 0.133261i
\(165\) 5.12363 5.69037i 0.398874 0.442994i
\(166\) −0.550682 5.23939i −0.0427412 0.406656i
\(167\) −3.65911 + 17.2147i −0.283150 + 1.33212i 0.574762 + 0.818321i \(0.305095\pi\)
−0.857912 + 0.513796i \(0.828239\pi\)
\(168\) 2.53566 7.80394i 0.195630 0.602087i
\(169\) −12.2619 4.31797i −0.943226 0.332152i
\(170\) 0.0978662 0.301201i 0.00750599 0.0231011i
\(171\) −8.81432 + 7.93645i −0.674048 + 0.606916i
\(172\) 1.01013 0.449737i 0.0770214 0.0342921i
\(173\) 21.1301 4.49135i 1.60649 0.341471i 0.684602 0.728917i \(-0.259976\pi\)
0.921892 + 0.387446i \(0.126643\pi\)
\(174\) 8.46070 2.74905i 0.641404 0.208405i
\(175\) 4.56040 10.2428i 0.344734 0.774286i
\(176\) 21.6017 + 19.4503i 1.62829 + 1.46612i
\(177\) −1.86513 + 2.56713i −0.140192 + 0.192957i
\(178\) −1.16730 + 11.1061i −0.0874928 + 0.832438i
\(179\) −0.100189 0.953237i −0.00748849 0.0712483i 0.990139 0.140086i \(-0.0447377\pi\)
−0.997628 + 0.0688373i \(0.978071\pi\)
\(180\) 0.614161 + 0.354586i 0.0457768 + 0.0264293i
\(181\) 19.9951 1.48622 0.743111 0.669168i \(-0.233349\pi\)
0.743111 + 0.669168i \(0.233349\pi\)
\(182\) 11.6973 11.4150i 0.867062 0.846139i
\(183\) 3.72045 11.4504i 0.275024 0.846436i
\(184\) −0.608723 + 2.86382i −0.0448757 + 0.211123i
\(185\) −2.11393 + 3.66144i −0.155419 + 0.269194i
\(186\) 8.45433 4.30207i 0.619902 0.315443i
\(187\) 1.19053i 0.0870599i
\(188\) −2.99517 2.69686i −0.218445 0.196689i
\(189\) 3.23958 + 15.2410i 0.235645 + 1.10862i
\(190\) −6.61284 9.10180i −0.479746 0.660314i
\(191\) −3.50466 6.07025i −0.253588 0.439228i 0.710923 0.703270i \(-0.248278\pi\)
−0.964511 + 0.264042i \(0.914944\pi\)
\(192\) −3.35101 + 5.80412i −0.241838 + 0.418876i
\(193\) −10.9666 + 1.15263i −0.789390 + 0.0829682i −0.490639 0.871363i \(-0.663237\pi\)
−0.298751 + 0.954331i \(0.596570\pi\)
\(194\) −5.63439 4.09362i −0.404526 0.293905i
\(195\) 2.33348 + 3.69115i 0.167104 + 0.264329i
\(196\) 0.190541 + 0.586426i 0.0136101 + 0.0418876i
\(197\) 24.2480 2.54857i 1.72760 0.181578i 0.811996 0.583664i \(-0.198381\pi\)
0.915602 + 0.402086i \(0.131715\pi\)
\(198\) −16.8648 3.58473i −1.19853 0.254756i
\(199\) 18.5698 3.94713i 1.31638 0.279805i 0.504388 0.863477i \(-0.331718\pi\)
0.811989 + 0.583673i \(0.198385\pi\)
\(200\) −5.62085 + 7.73644i −0.397454 + 0.547049i
\(201\) 0.544578 + 2.56204i 0.0384116 + 0.180712i
\(202\) 2.59639 + 12.2151i 0.182681 + 0.859448i
\(203\) 9.04523 12.4497i 0.634850 0.873797i
\(204\) 0.0746326 0.0158636i 0.00522533 0.00111068i
\(205\) −6.16766 1.31098i −0.430768 0.0915626i
\(206\) −3.97629 + 0.417925i −0.277041 + 0.0291182i
\(207\) −0.638193 1.96415i −0.0443574 0.136518i
\(208\) −14.0123 + 8.85832i −0.971580 + 0.614214i
\(209\) 34.2150 + 24.8586i 2.36670 + 1.71951i
\(210\) −5.46015 + 0.573885i −0.376786 + 0.0396018i
\(211\) 13.1303 22.7423i 0.903927 1.56565i 0.0815750 0.996667i \(-0.474005\pi\)
0.822352 0.568980i \(-0.192662\pi\)
\(212\) 1.27469 + 2.20784i 0.0875464 + 0.151635i
\(213\) 2.28153 + 3.14025i 0.156328 + 0.215167i
\(214\) −3.41980 16.0889i −0.233773 1.09981i
\(215\) 2.45623 + 2.21160i 0.167513 + 0.150830i
\(216\) 13.2893i 0.904225i
\(217\) 7.45726 14.6166i 0.506232 0.992238i
\(218\) 1.00375 1.73855i 0.0679828 0.117750i
\(219\) −2.85641 + 13.4383i −0.193018 + 0.908078i
\(220\) 0.781406 2.40492i 0.0526824 0.162140i
\(221\) −0.653631 0.183724i −0.0439679 0.0123586i
\(222\) −6.58769 −0.442137
\(223\) −21.4021 12.3565i −1.43319 0.827455i −0.435831 0.900029i \(-0.643545\pi\)
−0.997363 + 0.0725740i \(0.976879\pi\)
\(224\) −0.629902 5.99312i −0.0420871 0.400432i
\(225\) 0.705093 6.70851i 0.0470062 0.447234i
\(226\) 14.0111 19.2846i 0.932005 1.28279i
\(227\) 2.39795 + 2.15912i 0.159157 + 0.143306i 0.744862 0.667219i \(-0.232515\pi\)
−0.585704 + 0.810525i \(0.699182\pi\)
\(228\) 1.10244 2.47613i 0.0730112 0.163986i
\(229\) 13.4396 4.36678i 0.888111 0.288565i 0.170790 0.985307i \(-0.445368\pi\)
0.717321 + 0.696743i \(0.245368\pi\)
\(230\) 1.91614 0.407289i 0.126347 0.0268558i
\(231\) 18.8543 8.39445i 1.24052 0.552315i
\(232\) −9.75367 + 8.78224i −0.640359 + 0.576582i
\(233\) 5.08805 15.6594i 0.333329 1.02588i −0.634210 0.773161i \(-0.718675\pi\)
0.967539 0.252721i \(-0.0813255\pi\)
\(234\) 4.57072 8.70605i 0.298797 0.569132i
\(235\) 3.72288 11.4579i 0.242854 0.747428i
\(236\) −0.217870 + 1.02500i −0.0141821 + 0.0667215i
\(237\) −1.26466 12.0325i −0.0821486 0.781592i
\(238\) 0.571181 0.634360i 0.0370241 0.0411195i
\(239\) −0.317163 + 0.436537i −0.0205156 + 0.0282373i −0.819152 0.573577i \(-0.805555\pi\)
0.798636 + 0.601814i \(0.205555\pi\)
\(240\) 5.53814 + 0.582082i 0.357485 + 0.0375732i
\(241\) −4.48244 + 10.0677i −0.288739 + 0.648519i −0.998431 0.0559933i \(-0.982167\pi\)
0.709692 + 0.704512i \(0.248834\pi\)
\(242\) 44.5589i 2.86436i
\(243\) 7.63303 + 13.2208i 0.489659 + 0.848114i
\(244\) −0.415600 3.95417i −0.0266061 0.253140i
\(245\) −1.36971 + 1.23330i −0.0875078 + 0.0787923i
\(246\) −3.03606 9.34403i −0.193572 0.595753i
\(247\) −18.9281 + 14.9487i −1.20437 + 0.951163i
\(248\) −8.81314 + 10.8716i −0.559635 + 0.690345i
\(249\) 3.28564 + 1.89697i 0.208219 + 0.120215i
\(250\) 14.4838 + 3.07863i 0.916036 + 0.194710i
\(251\) −12.4301 + 2.64211i −0.784583 + 0.166768i −0.582750 0.812652i \(-0.698023\pi\)
−0.201833 + 0.979420i \(0.564690\pi\)
\(252\) 1.12352 + 1.54640i 0.0707754 + 0.0974140i
\(253\) −6.37739 + 3.68199i −0.400943 + 0.231485i
\(254\) 0.696076 0.401880i 0.0436757 0.0252162i
\(255\) 0.134058 + 0.184515i 0.00839502 + 0.0115548i
\(256\) −0.888841 + 8.45676i −0.0555526 + 0.528548i
\(257\) −1.43341 + 0.638195i −0.0894136 + 0.0398095i −0.450956 0.892546i \(-0.648917\pi\)
0.361543 + 0.932356i \(0.382250\pi\)
\(258\) −1.07074 + 5.03745i −0.0666616 + 0.313618i
\(259\) −9.21916 + 6.69811i −0.572851 + 0.416200i
\(260\) 1.19978 + 0.800144i 0.0744070 + 0.0496228i
\(261\) 2.86092 8.80499i 0.177086 0.545015i
\(262\) 4.25883 + 9.56548i 0.263111 + 0.590957i
\(263\) −18.9132 21.0052i −1.16624 1.29524i −0.947611 0.319427i \(-0.896510\pi\)
−0.218625 0.975809i \(-0.570157\pi\)
\(264\) −17.2178 + 3.65975i −1.05968 + 0.225242i
\(265\) −4.47924 + 6.16514i −0.275157 + 0.378722i
\(266\) −6.30465 29.6610i −0.386563 1.81864i
\(267\) −5.97646 5.38123i −0.365754 0.329326i
\(268\) 0.508426 + 0.699788i 0.0310571 + 0.0427464i
\(269\) −11.7351 + 13.0332i −0.715504 + 0.794648i −0.985763 0.168139i \(-0.946224\pi\)
0.270259 + 0.962788i \(0.412891\pi\)
\(270\) −8.12300 + 3.61659i −0.494350 + 0.220099i
\(271\) 7.22986 + 16.2385i 0.439183 + 0.986420i 0.988558 + 0.150844i \(0.0481992\pi\)
−0.549375 + 0.835576i \(0.685134\pi\)
\(272\) −0.700453 + 0.508909i −0.0424712 + 0.0308571i
\(273\) 1.69916 + 11.6469i 0.102838 + 0.704904i
\(274\) −18.3153 −1.10647
\(275\) −23.9204 + 2.51414i −1.44246 + 0.151608i
\(276\) 0.315797 + 0.350728i 0.0190088 + 0.0211114i
\(277\) 1.81761 2.01866i 0.109210 0.121290i −0.686061 0.727544i \(-0.740662\pi\)
0.795271 + 0.606254i \(0.207329\pi\)
\(278\) 11.7160i 0.702677i
\(279\) 1.54947 9.74962i 0.0927644 0.583694i
\(280\) 7.01480 4.05000i 0.419215 0.242034i
\(281\) 1.25668 0.408319i 0.0749671 0.0243583i −0.271293 0.962497i \(-0.587451\pi\)
0.346260 + 0.938138i \(0.387451\pi\)
\(282\) 18.3617 3.90290i 1.09342 0.232414i
\(283\) −2.04957 19.5004i −0.121834 1.15918i −0.869095 0.494646i \(-0.835298\pi\)
0.747260 0.664532i \(-0.231369\pi\)
\(284\) 1.11011 + 0.640921i 0.0658728 + 0.0380317i
\(285\) 8.10201 0.479922
\(286\) −33.7532 9.48740i −1.99587 0.561002i
\(287\) −13.7495 9.98958i −0.811606 0.589666i
\(288\) −1.47460 3.31200i −0.0868916 0.195162i
\(289\) 16.5938 + 3.52713i 0.976107 + 0.207478i
\(290\) 8.02245 + 3.57183i 0.471095 + 0.209745i
\(291\) 4.77000 1.54987i 0.279623 0.0908549i
\(292\) 0.943295 + 4.43785i 0.0552022 + 0.259706i
\(293\) −21.3564 2.24465i −1.24766 0.131134i −0.542421 0.840107i \(-0.682492\pi\)
−0.705236 + 0.708973i \(0.749159\pi\)
\(294\) −2.73133 0.887463i −0.159294 0.0517579i
\(295\) −3.06388 + 0.651247i −0.178386 + 0.0379171i
\(296\) 8.87886 3.95312i 0.516073 0.229771i
\(297\) 24.8398 22.3659i 1.44135 1.29780i
\(298\) 2.55018 + 7.84864i 0.147728 + 0.454659i
\(299\) −1.03734 4.06957i −0.0599910 0.235349i
\(300\) 0.476346 + 1.46604i 0.0275019 + 0.0846420i
\(301\) 3.62343 + 8.13837i 0.208851 + 0.469088i
\(302\) 16.3010 7.25768i 0.938018 0.417633i
\(303\) −8.21570 3.65786i −0.471980 0.210139i
\(304\) 30.7568i 1.76402i
\(305\) 10.2925 5.94238i 0.589347 0.340260i
\(306\) 0.208881 0.469153i 0.0119409 0.0268197i
\(307\) −18.5426 6.02486i −1.05828 0.343857i −0.272369 0.962193i \(-0.587807\pi\)
−0.785914 + 0.618336i \(0.787807\pi\)
\(308\) 4.56056 5.06501i 0.259862 0.288606i
\(309\) 1.43965 2.49355i 0.0818989 0.141853i
\(310\) 9.04358 + 2.42835i 0.513641 + 0.137921i
\(311\) 15.7235 0.891600 0.445800 0.895133i \(-0.352919\pi\)
0.445800 + 0.895133i \(0.352919\pi\)
\(312\) 0.647772 10.0178i 0.0366729 0.567146i
\(313\) 6.30548 19.4063i 0.356407 1.09691i −0.598782 0.800912i \(-0.704349\pi\)
0.955189 0.295996i \(-0.0956514\pi\)
\(314\) −14.8909 + 1.56509i −0.840340 + 0.0883233i
\(315\) −2.85682 + 4.94816i −0.160964 + 0.278797i
\(316\) −1.99773 3.46018i −0.112381 0.194650i
\(317\) 3.12066 + 4.29521i 0.175273 + 0.241243i 0.887611 0.460594i \(-0.152363\pi\)
−0.712338 + 0.701837i \(0.752363\pi\)
\(318\) −11.8090 1.24117i −0.662213 0.0696014i
\(319\) −32.8307 3.45064i −1.83817 0.193199i
\(320\) −6.29200 + 2.04439i −0.351733 + 0.114285i
\(321\) 10.8212 + 4.81791i 0.603980 + 0.268909i
\(322\) 5.16464 + 1.09778i 0.287814 + 0.0611768i
\(323\) −0.936135 + 0.842900i −0.0520879 + 0.0469002i
\(324\) −0.158943 0.115479i −0.00883014 0.00641548i
\(325\) 2.31111 13.5209i 0.128197 0.750007i
\(326\) −6.25432 + 19.2488i −0.346395 + 1.06609i
\(327\) 0.588022 + 1.32072i 0.0325177 + 0.0730359i
\(328\) 9.69913 + 10.7720i 0.535545 + 0.594783i
\(329\) 21.7280 24.1314i 1.19790 1.33041i
\(330\) 6.92268 + 9.52825i 0.381081 + 0.524513i
\(331\) 13.1865 + 11.8732i 0.724798 + 0.652611i 0.946574 0.322487i \(-0.104519\pi\)
−0.221776 + 0.975098i \(0.571185\pi\)
\(332\) 1.24604 + 0.130964i 0.0683853 + 0.00718758i
\(333\) −4.02971 + 5.54643i −0.220827 + 0.303942i
\(334\) −24.7295 11.0103i −1.35314 0.602456i
\(335\) −1.29279 + 2.23918i −0.0706327 + 0.122339i
\(336\) 12.9985 + 7.50467i 0.709125 + 0.409413i
\(337\) −9.12842 + 6.63218i −0.497257 + 0.361278i −0.807968 0.589226i \(-0.799433\pi\)
0.310712 + 0.950504i \(0.399433\pi\)
\(338\) 10.4177 17.0673i 0.566647 0.928337i
\(339\) 5.30468 + 16.3261i 0.288111 + 0.886714i
\(340\) 0.0652276 + 0.0376592i 0.00353747 + 0.00204236i
\(341\) −35.1531 + 1.82366i −1.90365 + 0.0987568i
\(342\) −9.12166 15.7992i −0.493243 0.854322i
\(343\) 14.8956 4.83987i 0.804286 0.261328i
\(344\) −1.57972 7.43199i −0.0851727 0.400706i
\(345\) −0.573799 + 1.28877i −0.0308923 + 0.0693853i
\(346\) 33.2267i 1.78628i
\(347\) −8.05022 13.9434i −0.432158 0.748520i 0.564901 0.825159i \(-0.308915\pi\)
−0.997059 + 0.0766387i \(0.975581\pi\)
\(348\) 0.221149 + 2.10409i 0.0118548 + 0.112791i
\(349\) −8.89544 19.9795i −0.476162 1.06948i −0.978770 0.204963i \(-0.934293\pi\)
0.502608 0.864515i \(-0.332374\pi\)
\(350\) 13.9520 + 10.1367i 0.745766 + 0.541830i
\(351\) 8.44614 + 17.0892i 0.450822 + 0.912157i
\(352\) −10.4583 + 7.59840i −0.557429 + 0.404996i
\(353\) −4.80474 + 22.6045i −0.255731 + 1.20312i 0.643432 + 0.765503i \(0.277510\pi\)
−0.899163 + 0.437615i \(0.855823\pi\)
\(354\) −3.26580 3.62704i −0.173575 0.192775i
\(355\) −0.400515 + 3.81064i −0.0212571 + 0.202248i
\(356\) −2.52583 0.820693i −0.133869 0.0434967i
\(357\) 0.127810 + 0.601299i 0.00676442 + 0.0318241i
\(358\) 1.46619 + 0.154102i 0.0774904 + 0.00814457i
\(359\) −28.9082 9.39284i −1.52572 0.495735i −0.578323 0.815808i \(-0.696293\pi\)
−0.947393 + 0.320073i \(0.896293\pi\)
\(360\) 3.26075 3.62143i 0.171857 0.190866i
\(361\) 2.69152 + 25.6081i 0.141659 + 1.34779i
\(362\) −6.39426 + 30.0826i −0.336075 + 1.58111i
\(363\) −25.9606 18.8615i −1.36258 0.989973i
\(364\) 2.07703 + 3.28551i 0.108866 + 0.172207i
\(365\) −10.9717 + 7.97144i −0.574287 + 0.417244i
\(366\) 16.0374 + 9.25917i 0.838286 + 0.483985i
\(367\) −3.69165 + 6.39413i −0.192703 + 0.333771i −0.946145 0.323743i \(-0.895059\pi\)
0.753442 + 0.657514i \(0.228392\pi\)
\(368\) −4.89244 2.17825i −0.255036 0.113549i
\(369\) −9.72426 3.15960i −0.506225 0.164482i
\(370\) −4.83263 4.35132i −0.251236 0.226214i
\(371\) −17.7881 + 10.2699i −0.923510 + 0.533189i
\(372\) 0.582734 + 2.17940i 0.0302134 + 0.112997i
\(373\) 17.8020 + 30.8339i 0.921750 + 1.59652i 0.796706 + 0.604367i \(0.206574\pi\)
0.125044 + 0.992151i \(0.460093\pi\)
\(374\) −1.79115 0.380721i −0.0926182 0.0196866i
\(375\) −7.92456 + 7.13530i −0.409222 + 0.368465i
\(376\) −22.4058 + 16.2788i −1.15549 + 0.839514i
\(377\) 6.96098 17.4924i 0.358509 0.900905i
\(378\) −23.9662 −1.23269
\(379\) 25.1442 2.64276i 1.29157 0.135749i 0.566291 0.824205i \(-0.308378\pi\)
0.725278 + 0.688456i \(0.241711\pi\)
\(380\) 2.44428 1.08826i 0.125389 0.0558267i
\(381\) −0.0605040 + 0.575657i −0.00309971 + 0.0294918i
\(382\) 10.2535 3.33155i 0.524613 0.170457i
\(383\) −4.06233 + 9.12415i −0.207575 + 0.466222i −0.987091 0.160161i \(-0.948799\pi\)
0.779515 + 0.626383i \(0.215465\pi\)
\(384\) −11.0270 9.92874i −0.562718 0.506674i
\(385\) 19.3759 + 6.29562i 0.987488 + 0.320854i
\(386\) 1.77288 16.8678i 0.0902372 0.858550i
\(387\) 3.58625 + 3.98293i 0.182299 + 0.202464i
\(388\) 1.23087 1.10828i 0.0624881 0.0562646i
\(389\) −13.9796 10.1568i −0.708795 0.514970i 0.173990 0.984747i \(-0.444334\pi\)
−0.882785 + 0.469778i \(0.844334\pi\)
\(390\) −6.29958 + 2.33032i −0.318992 + 0.118000i
\(391\) −0.0677800 0.208605i −0.00342778 0.0105496i
\(392\) 4.21383 0.442891i 0.212830 0.0223694i
\(393\) −7.37572 1.56776i −0.372056 0.0790829i
\(394\) −3.91999 + 37.2962i −0.197486 + 1.87895i
\(395\) 7.01997 9.66217i 0.353213 0.486156i
\(396\) 1.66779 3.74592i 0.0838097 0.188240i
\(397\) 1.26883 0.732562i 0.0636809 0.0367662i −0.467821 0.883823i \(-0.654961\pi\)
0.531502 + 0.847057i \(0.321628\pi\)
\(398\) 29.2006i 1.46369i
\(399\) 19.9497 + 8.88216i 0.998732 + 0.444664i
\(400\) −11.7044 12.9990i −0.585219 0.649952i
\(401\) 3.97464 18.6992i 0.198484 0.933795i −0.760281 0.649595i \(-0.774939\pi\)
0.958765 0.284200i \(-0.0917280\pi\)
\(402\) −4.02875 −0.200936
\(403\) 4.42364 19.5814i 0.220357 0.975419i
\(404\) −2.96990 −0.147758
\(405\) 0.122099 0.574429i 0.00606713 0.0285436i
\(406\) 15.8380 + 17.5899i 0.786027 + 0.872971i
\(407\) 22.3321 + 9.94287i 1.10696 + 0.492850i
\(408\) 0.524300i 0.0259567i
\(409\) −17.5150 + 10.1123i −0.866062 + 0.500021i −0.866038 0.499979i \(-0.833341\pi\)
−2.44434e−5 1.00000i \(0.500008\pi\)
\(410\) 3.94474 8.86002i 0.194817 0.437565i
\(411\) 7.75274 10.6707i 0.382414 0.526348i
\(412\) 0.0993915 0.945647i 0.00489667 0.0465887i
\(413\) −8.25817 1.75533i −0.406358 0.0863740i
\(414\) 3.15917 0.332042i 0.155265 0.0163190i
\(415\) 1.15731 + 3.56183i 0.0568100 + 0.174843i
\(416\) −2.55778 6.91448i −0.125406 0.339010i
\(417\) 6.82588 + 4.95929i 0.334265 + 0.242858i
\(418\) −48.3415 + 43.5269i −2.36446 + 2.12897i
\(419\) −3.34938 3.71987i −0.163628 0.181727i 0.655755 0.754974i \(-0.272350\pi\)
−0.819383 + 0.573246i \(0.805684\pi\)
\(420\) 0.136482 1.29854i 0.00665965 0.0633623i
\(421\) 26.0019 + 8.44854i 1.26726 + 0.411757i 0.864075 0.503364i \(-0.167904\pi\)
0.403181 + 0.915120i \(0.367904\pi\)
\(422\) 30.0169 + 27.0274i 1.46120 + 1.31567i
\(423\) 7.94593 17.8468i 0.386344 0.867743i
\(424\) 16.6609 5.41345i 0.809124 0.262900i
\(425\) 0.0748852 0.712485i 0.00363247 0.0345606i
\(426\) −5.45413 + 2.42834i −0.264254 + 0.117653i
\(427\) 31.8579 3.34840i 1.54171 0.162040i
\(428\) 3.91176 0.189082
\(429\) 19.8150 15.6491i 0.956677 0.755546i
\(430\) −4.11283 + 2.98815i −0.198338 + 0.144101i
\(431\) 23.1852 20.8760i 1.11679 1.00556i 0.116867 0.993148i \(-0.462715\pi\)
0.999923 0.0124145i \(-0.00395177\pi\)
\(432\) 23.7773 + 5.05401i 1.14398 + 0.243161i
\(433\) −4.40483 7.62939i −0.211683 0.366645i 0.740559 0.671992i \(-0.234561\pi\)
−0.952241 + 0.305347i \(0.901228\pi\)
\(434\) 19.6059 + 15.8937i 0.941114 + 0.762924i
\(435\) −5.47685 + 3.16206i −0.262595 + 0.151609i
\(436\) 0.354798 + 0.319462i 0.0169918 + 0.0152994i
\(437\) −7.41045 2.40780i −0.354490 0.115181i
\(438\) −19.3046 8.59494i −0.922407 0.410682i
\(439\) 1.99793 3.46052i 0.0953561 0.165162i −0.814401 0.580302i \(-0.802934\pi\)
0.909757 + 0.415141i \(0.136268\pi\)
\(440\) −15.0481 8.68800i −0.717388 0.414184i
\(441\) −2.41795 + 1.75675i −0.115141 + 0.0836546i
\(442\) 0.485439 0.924636i 0.0230900 0.0439804i
\(443\) 28.5080 + 20.7123i 1.35446 + 0.984071i 0.998776 + 0.0494637i \(0.0157512\pi\)
0.355681 + 0.934607i \(0.384249\pi\)
\(444\) 0.325734 1.53246i 0.0154586 0.0727272i
\(445\) −0.829817 7.89518i −0.0393371 0.374267i
\(446\) 25.4347 28.2481i 1.20437 1.33758i
\(447\) −5.65220 1.83651i −0.267340 0.0868640i
\(448\) −17.7341 1.86393i −0.837857 0.0880624i
\(449\) 7.81897 + 36.7854i 0.369000 + 1.73601i 0.635434 + 0.772155i \(0.280821\pi\)
−0.266434 + 0.963853i \(0.585845\pi\)
\(450\) 9.86750 + 3.20614i 0.465158 + 0.151139i
\(451\) −3.81090 + 36.2583i −0.179448 + 1.70734i
\(452\) 3.79328 + 4.21287i 0.178421 + 0.198157i
\(453\) −2.67169 + 12.5693i −0.125527 + 0.590559i
\(454\) −4.01525 + 2.91725i −0.188445 + 0.136913i
\(455\) −6.44658 + 9.66635i −0.302220 + 0.453165i
\(456\) −15.0680 10.9476i −0.705625 0.512667i
\(457\) −6.45460 14.4973i −0.301933 0.678153i 0.697321 0.716759i \(-0.254375\pi\)
−0.999255 + 0.0386054i \(0.987708\pi\)
\(458\) 2.27197 + 21.6163i 0.106162 + 1.01006i
\(459\) 0.497796 + 0.862208i 0.0232351 + 0.0402444i
\(460\) 0.465880i 0.0217218i
\(461\) 12.1013 27.1800i 0.563614 1.26590i −0.376935 0.926240i \(-0.623022\pi\)
0.940549 0.339658i \(-0.110311\pi\)
\(462\) 6.60004 + 31.0508i 0.307062 + 1.44461i
\(463\) 15.0863 4.90183i 0.701120 0.227808i 0.0633013 0.997994i \(-0.479837\pi\)
0.637818 + 0.770187i \(0.279837\pi\)
\(464\) −12.0038 20.7912i −0.557262 0.965206i
\(465\) −5.24288 + 4.24101i −0.243133 + 0.196672i
\(466\) 21.9325 + 12.6627i 1.01600 + 0.586590i
\(467\) −9.30237 28.6298i −0.430462 1.32483i −0.897666 0.440677i \(-0.854738\pi\)
0.467203 0.884150i \(-0.345262\pi\)
\(468\) 1.79924 + 1.49374i 0.0831697 + 0.0690481i
\(469\) −5.63804 + 4.09628i −0.260341 + 0.189149i
\(470\) 16.0478 + 9.26522i 0.740231 + 0.427373i
\(471\) 5.39137 9.33812i 0.248421 0.430278i
\(472\) 6.57814 + 2.92878i 0.302783 + 0.134808i
\(473\) 11.2329 15.4607i 0.516488 0.710885i
\(474\) 18.5073 + 1.94520i 0.850068 + 0.0893458i
\(475\) −18.9127 17.0291i −0.867776 0.781349i
\(476\) 0.119325 + 0.164237i 0.00546926 + 0.00752779i
\(477\) −8.26857 + 9.18318i −0.378592 + 0.420469i
\(478\) −0.555346 0.616774i −0.0254009 0.0282106i
\(479\) 9.17087 + 20.5981i 0.419028 + 0.941152i 0.992536 + 0.121952i \(0.0389154\pi\)
−0.573508 + 0.819200i \(0.694418\pi\)
\(480\) −0.765280 + 2.35529i −0.0349301 + 0.107504i
\(481\) −8.90522 + 10.7265i −0.406043 + 0.489086i
\(482\) −13.7135 9.96342i −0.624631 0.453821i
\(483\) −2.82574 + 2.54431i −0.128576 + 0.115770i
\(484\) −10.3655 2.20325i −0.471159 0.100148i
\(485\) 4.52292 + 2.01374i 0.205375 + 0.0914390i
\(486\) −22.3317 + 7.25601i −1.01299 + 0.329139i
\(487\) −12.9020 1.35605i −0.584645 0.0614487i −0.192412 0.981314i \(-0.561631\pi\)
−0.392234 + 0.919866i \(0.628298\pi\)
\(488\) −27.1713 2.85582i −1.22999 0.129277i
\(489\) −8.56721 11.7918i −0.387423 0.533242i
\(490\) −1.41747 2.45514i −0.0640349 0.110912i
\(491\) −11.1004 + 19.2265i −0.500956 + 0.867681i 0.499043 + 0.866577i \(0.333685\pi\)
−0.999999 + 0.00110426i \(0.999649\pi\)
\(492\) 2.32377 0.244238i 0.104764 0.0110111i
\(493\) 0.303847 0.935144i 0.0136846 0.0421168i
\(494\) −16.4373 33.2579i −0.739549 1.49635i
\(495\) 12.2568 0.550903
\(496\) −16.0997 19.9030i −0.722898 0.893670i
\(497\) −5.16376 + 8.94390i −0.231626 + 0.401189i
\(498\) −3.90471 + 4.33662i −0.174974 + 0.194329i
\(499\) 20.7352 + 6.73727i 0.928235 + 0.301602i 0.733841 0.679322i \(-0.237726\pi\)
0.194394 + 0.980923i \(0.437726\pi\)
\(500\) −1.43233 + 3.21706i −0.0640556 + 0.143871i
\(501\) 16.8826 9.74716i 0.754258 0.435471i
\(502\) 19.5461i 0.872385i
\(503\) 7.39042 + 3.29043i 0.329523 + 0.146713i 0.564828 0.825208i \(-0.308942\pi\)
−0.235306 + 0.971921i \(0.575609\pi\)
\(504\) 11.9991 5.34235i 0.534483 0.237967i
\(505\) −3.61081 8.11001i −0.160679 0.360891i
\(506\) −3.50012 10.7723i −0.155599 0.478886i
\(507\) 5.53389 + 13.2939i 0.245769 + 0.590405i
\(508\) 0.0590690 + 0.181796i 0.00262076 + 0.00806587i
\(509\) 20.4013 18.3694i 0.904272 0.814211i −0.0789016 0.996882i \(-0.525141\pi\)
0.983174 + 0.182672i \(0.0584746\pi\)
\(510\) −0.320474 + 0.142684i −0.0141908 + 0.00631815i
\(511\) −35.7548 + 7.59992i −1.58170 + 0.336201i
\(512\) 13.0415 + 4.23744i 0.576359 + 0.187270i
\(513\) 35.1735 + 3.69688i 1.55295 + 0.163221i
\(514\) −0.501773 2.36066i −0.0221323 0.104124i
\(515\) 2.70315 0.878307i 0.119115 0.0387028i
\(516\) −1.11889 0.498162i −0.0492564 0.0219304i
\(517\) −68.1363 14.4828i −2.99663 0.636954i
\(518\) −7.12911 16.0123i −0.313235 0.703538i
\(519\) −19.3583 14.0646i −0.849735 0.617369i
\(520\) 7.09218 6.92104i 0.311013 0.303508i
\(521\) −7.77586 −0.340666 −0.170333 0.985387i \(-0.554484\pi\)
−0.170333 + 0.985387i \(0.554484\pi\)
\(522\) 12.3322 + 7.12002i 0.539768 + 0.311635i
\(523\) 3.07463 + 29.2532i 0.134444 + 1.27915i 0.828810 + 0.559530i \(0.189018\pi\)
−0.694366 + 0.719622i \(0.744315\pi\)
\(524\) −2.43575 + 0.517734i −0.106406 + 0.0226173i
\(525\) −11.8116 + 3.83782i −0.515500 + 0.167496i
\(526\) 37.6507 21.7376i 1.64165 0.947805i
\(527\) 0.164563 1.03547i 0.00716849 0.0451057i
\(528\) 32.1978i 1.40123i
\(529\) −14.4822 + 16.0841i −0.629660 + 0.699308i
\(530\) −7.84305 8.71059i −0.340680 0.378364i
\(531\) −5.05145 + 0.530928i −0.219214 + 0.0230403i
\(532\) 7.21162 0.312663
\(533\) −19.3187 7.68772i −0.836785 0.332992i
\(534\) 10.0073 7.27073i 0.433058 0.314635i
\(535\) 4.75593 + 10.6820i 0.205617 + 0.461823i
\(536\) 5.42993 2.41756i 0.234537 0.104423i
\(537\) −0.710410 + 0.788990i −0.0306565 + 0.0340474i
\(538\) −15.8557 21.8235i −0.683587 0.940877i
\(539\) 7.91967 + 7.13090i 0.341124 + 0.307150i
\(540\) −0.439659 2.06843i −0.0189199 0.0890111i
\(541\) 3.61061 4.96958i 0.155232 0.213659i −0.724316 0.689468i \(-0.757845\pi\)
0.879549 + 0.475809i \(0.157845\pi\)
\(542\) −26.7430 + 5.68439i −1.14871 + 0.244166i
\(543\) −14.8199 16.4592i −0.635983 0.706331i
\(544\) −0.156611 0.351755i −0.00671466 0.0150814i
\(545\) −0.441001 + 1.35726i −0.0188904 + 0.0581387i
\(546\) −18.0662 1.16820i −0.773163 0.0499944i
\(547\) −19.6806 + 14.2988i −0.841483 + 0.611373i −0.922784 0.385317i \(-0.874092\pi\)
0.0813019 + 0.996690i \(0.474092\pi\)
\(548\) 0.905614 4.26058i 0.0386859 0.182003i
\(549\) 17.6058 7.83859i 0.751396 0.334543i
\(550\) 3.86704 36.7924i 0.164891 1.56883i
\(551\) −20.5310 28.2585i −0.874651 1.20385i
\(552\) 2.80856 1.62152i 0.119540 0.0690166i
\(553\) 27.8779 16.0953i 1.18549 0.684442i
\(554\) 2.45583 + 3.38016i 0.104338 + 0.143609i
\(555\) 4.58076 0.973670i 0.194442 0.0413300i
\(556\) 2.72542 + 0.579306i 0.115583 + 0.0245680i
\(557\) −20.3205 11.7320i −0.861007 0.497103i 0.00334239 0.999994i \(-0.498936\pi\)
−0.864349 + 0.502892i \(0.832269\pi\)
\(558\) 14.1728 + 5.44903i 0.599983 + 0.230676i
\(559\) 6.75487 + 8.55307i 0.285701 + 0.361756i
\(560\) 4.57848 + 14.0911i 0.193476 + 0.595458i
\(561\) 0.979996 0.882392i 0.0413755 0.0372546i
\(562\) 0.212442 + 2.02125i 0.00896133 + 0.0852614i
\(563\) 6.47535 + 11.2156i 0.272903 + 0.472682i 0.969604 0.244680i \(-0.0786827\pi\)
−0.696701 + 0.717362i \(0.745349\pi\)
\(564\) 4.46436i 0.187984i
\(565\) −6.89235 + 15.4805i −0.289963 + 0.651268i
\(566\) 29.9938 + 3.15248i 1.26073 + 0.132509i
\(567\) 0.930386 1.28057i 0.0390725 0.0537787i
\(568\) 5.89387 6.54581i 0.247301 0.274656i
\(569\) −0.350938 3.33895i −0.0147121 0.139976i 0.984700 0.174257i \(-0.0557525\pi\)
−0.999412 + 0.0342812i \(0.989086\pi\)
\(570\) −2.59096 + 12.1895i −0.108523 + 0.510562i
\(571\) −0.438134 + 1.34844i −0.0183353 + 0.0564303i −0.959806 0.280666i \(-0.909445\pi\)
0.941470 + 0.337096i \(0.109445\pi\)
\(572\) 3.87595 7.38269i 0.162062 0.308686i
\(573\) −2.39922 + 7.38404i −0.100229 + 0.308473i
\(574\) 19.4263 17.4915i 0.810839 0.730083i
\(575\) 4.04823 1.80239i 0.168823 0.0751648i
\(576\) −10.4935 + 2.23047i −0.437230 + 0.0929361i
\(577\) 25.1358 8.16713i 1.04642 0.340002i 0.265156 0.964205i \(-0.414576\pi\)
0.781262 + 0.624203i \(0.214576\pi\)
\(578\) −10.6131 + 23.8375i −0.441449 + 0.991510i
\(579\) 9.07698 + 8.17295i 0.377226 + 0.339656i
\(580\) −1.22757 + 1.68961i −0.0509721 + 0.0701571i
\(581\) −1.05515 + 10.0391i −0.0437749 + 0.416491i
\(582\) 0.806372 + 7.67212i 0.0334252 + 0.318020i
\(583\) 38.1587 + 22.0309i 1.58037 + 0.912428i
\(584\) 31.1763 1.29008
\(585\) −1.89149 + 6.72932i −0.0782036 + 0.278223i
\(586\) 10.2067 31.4130i 0.421635 1.29766i
\(587\) −2.41360 + 11.3551i −0.0996201 + 0.468676i 0.899852 + 0.436195i \(0.143674\pi\)
−0.999472 + 0.0324810i \(0.989659\pi\)
\(588\) 0.341498 0.591493i 0.0140832 0.0243927i
\(589\) −26.3226 26.3504i −1.08460 1.08575i
\(590\) 4.81788i 0.198349i
\(591\) −20.0700 18.0711i −0.825568 0.743345i
\(592\) 3.69624 + 17.3894i 0.151914 + 0.714701i
\(593\) −0.723289 0.995522i −0.0297019 0.0408812i 0.793908 0.608038i \(-0.208043\pi\)
−0.823610 + 0.567157i \(0.808043\pi\)
\(594\) 25.7059 + 44.5240i 1.05473 + 1.82684i
\(595\) −0.303412 + 0.525525i −0.0124387 + 0.0215444i
\(596\) −1.95188 + 0.205151i −0.0799521 + 0.00840331i
\(597\) −17.0126 12.3604i −0.696281 0.505878i
\(598\) 6.45441 0.259268i 0.263940 0.0106023i
\(599\) −6.30831 19.4150i −0.257751 0.793275i −0.993275 0.115777i \(-0.963064\pi\)
0.735525 0.677498i \(-0.236936\pi\)
\(600\) 10.5344 1.10721i 0.430065 0.0452017i
\(601\) −4.01142 0.852654i −0.163629 0.0347805i 0.125368 0.992110i \(-0.459989\pi\)
−0.288998 + 0.957330i \(0.593322\pi\)
\(602\) −13.4029 + 2.84888i −0.546263 + 0.116112i
\(603\) −2.46440 + 3.39196i −0.100358 + 0.138131i
\(604\) 0.882296 + 4.15088i 0.0359001 + 0.168897i
\(605\) −6.58588 30.9841i −0.267754 1.25968i
\(606\) 8.13058 11.1908i 0.330282 0.454595i
\(607\) 22.4161 4.76468i 0.909840 0.193392i 0.270862 0.962618i \(-0.412691\pi\)
0.638977 + 0.769226i \(0.279358\pi\)
\(608\) −13.3793 2.84386i −0.542603 0.115334i
\(609\) −16.9522 + 1.78175i −0.686939 + 0.0722002i
\(610\) 5.64887 + 17.3854i 0.228716 + 0.703915i
\(611\) 18.4664 35.1736i 0.747069 1.42297i
\(612\) 0.0988082 + 0.0717884i 0.00399409 + 0.00290187i
\(613\) −12.6493 + 1.32950i −0.510902 + 0.0536979i −0.356472 0.934306i \(-0.616021\pi\)
−0.154429 + 0.988004i \(0.549354\pi\)
\(614\) 14.9942 25.9707i 0.605116 1.04809i
\(615\) 3.49219 + 6.04865i 0.140819 + 0.243905i
\(616\) −27.5284 37.8896i −1.10915 1.52661i
\(617\) 2.59875 + 12.2262i 0.104622 + 0.492207i 0.998992 + 0.0448802i \(0.0142906\pi\)
−0.894371 + 0.447327i \(0.852376\pi\)
\(618\) 3.29116 + 2.96338i 0.132390 + 0.119204i
\(619\) 2.78385i 0.111892i 0.998434 + 0.0559462i \(0.0178175\pi\)
−0.998434 + 0.0559462i \(0.982182\pi\)
\(620\) −1.01206 + 1.98369i −0.0406453 + 0.0796667i
\(621\) −3.07911 + 5.33317i −0.123560 + 0.214013i
\(622\) −5.02826 + 23.6561i −0.201615 + 0.948524i
\(623\) 6.61215 20.3501i 0.264910 0.815309i
\(624\) 17.6775 + 4.96882i 0.707665 + 0.198912i
\(625\) 8.49575 0.339830
\(626\) 27.1804 + 15.6926i 1.08635 + 0.627202i
\(627\) −4.89671 46.5891i −0.195556 1.86059i
\(628\) 0.372213 3.54137i 0.0148529 0.141316i
\(629\) −0.427980 + 0.589064i −0.0170647 + 0.0234875i
\(630\) −6.53093 5.88048i −0.260199 0.234284i
\(631\) 0.134028 0.301031i 0.00533556 0.0119839i −0.910858 0.412720i \(-0.864579\pi\)
0.916194 + 0.400736i \(0.131246\pi\)
\(632\) −26.1113 + 8.48409i −1.03865 + 0.337479i
\(633\) −28.4525 + 6.04777i −1.13089 + 0.240377i
\(634\) −7.46012 + 3.32146i −0.296279 + 0.131912i
\(635\) −0.424619 + 0.382329i −0.0168505 + 0.0151723i
\(636\) 0.872630 2.68568i 0.0346020 0.106494i
\(637\) −5.13723 + 3.24766i −0.203544 + 0.128677i
\(638\) 15.6905 48.2904i 0.621193 1.91183i
\(639\) −1.29181 + 6.07747i −0.0511030 + 0.240421i
\(640\) −1.53107 14.5671i −0.0605208 0.575817i
\(641\) 10.0950 11.2117i 0.398730 0.442835i −0.510028 0.860158i \(-0.670365\pi\)
0.908758 + 0.417323i \(0.137032\pi\)
\(642\) −10.7091 + 14.7398i −0.422654 + 0.581733i
\(643\) 24.3584 + 2.56017i 0.960600 + 0.100963i 0.571830 0.820372i \(-0.306234\pi\)
0.388769 + 0.921335i \(0.372900\pi\)
\(644\) −0.510740 + 1.14714i −0.0201260 + 0.0452037i
\(645\) 3.66106i 0.144154i
\(646\) −0.968777 1.67797i −0.0381160 0.0660189i
\(647\) −0.604759 5.75390i −0.0237755 0.226209i −0.999957 0.00925433i \(-0.997054\pi\)
0.976182 0.216955i \(-0.0696125\pi\)
\(648\) −1.00326 + 0.903335i −0.0394116 + 0.0354864i
\(649\) 5.59663 + 17.2247i 0.219687 + 0.676127i
\(650\) 19.6032 + 7.80096i 0.768902 + 0.305979i
\(651\) −17.5590 + 4.69497i −0.688190 + 0.184010i
\(652\) −4.16849 2.40668i −0.163251 0.0942529i
\(653\) −15.3954 3.27239i −0.602467 0.128058i −0.103427 0.994637i \(-0.532981\pi\)
−0.499040 + 0.866579i \(0.666314\pi\)
\(654\) −2.17507 + 0.462326i −0.0850520 + 0.0180784i
\(655\) −4.37517 6.02191i −0.170952 0.235296i
\(656\) −22.9618 + 13.2570i −0.896509 + 0.517600i
\(657\) −19.0451 + 10.9957i −0.743020 + 0.428983i
\(658\) 29.3573 + 40.4069i 1.14447 + 1.57523i
\(659\) 0.172825 1.64432i 0.00673229 0.0640535i −0.990640 0.136501i \(-0.956414\pi\)
0.997372 + 0.0724475i \(0.0230810\pi\)
\(660\) −2.55880 + 1.13925i −0.0996012 + 0.0443453i
\(661\) −6.64549 + 31.2646i −0.258480 + 1.21605i 0.636970 + 0.770888i \(0.280187\pi\)
−0.895450 + 0.445163i \(0.853146\pi\)
\(662\) −22.0802 + 16.0422i −0.858173 + 0.623499i
\(663\) 0.333222 + 0.674216i 0.0129413 + 0.0261844i
\(664\) 2.66045 8.18802i 0.103245 0.317757i
\(665\) 8.76790 + 19.6930i 0.340004 + 0.763663i
\(666\) −7.05594 7.83642i −0.273412 0.303655i
\(667\) 5.94908 1.26452i 0.230349 0.0489623i
\(668\) 3.78403 5.20827i 0.146408 0.201514i
\(669\) 5.69138 + 26.7758i 0.220041 + 1.03521i
\(670\) −2.95543 2.66108i −0.114178 0.102806i
\(671\) −40.3912 55.5937i −1.55928 2.14617i
\(672\) −4.46644 + 4.96048i −0.172297 + 0.191355i
\(673\) 34.3778 15.3060i 1.32517 0.590002i 0.382566 0.923928i \(-0.375040\pi\)
0.942599 + 0.333926i \(0.108374\pi\)
\(674\) −7.05895 15.8547i −0.271900 0.610698i
\(675\) −16.2725 + 11.8227i −0.626330 + 0.455055i
\(676\) 3.45515 + 3.26731i 0.132890 + 0.125666i
\(677\) −3.31052 −0.127234 −0.0636169 0.997974i \(-0.520264\pi\)
−0.0636169 + 0.997974i \(0.520264\pi\)
\(678\) −26.2591 + 2.75994i −1.00847 + 0.105995i
\(679\) 8.92920 + 9.91688i 0.342671 + 0.380575i
\(680\) 0.346312 0.384618i 0.0132804 0.0147494i
\(681\) 3.57419i 0.136963i
\(682\) 8.49797 53.4711i 0.325404 2.04751i
\(683\) −21.0188 + 12.1352i −0.804264 + 0.464342i −0.844960 0.534830i \(-0.820376\pi\)
0.0406963 + 0.999172i \(0.487042\pi\)
\(684\) 4.12630 1.34072i 0.157773 0.0512636i
\(685\) 12.7355 2.70702i 0.486600 0.103430i
\(686\) 2.51811 + 23.9582i 0.0961419 + 0.914729i
\(687\) −13.5557 7.82638i −0.517181 0.298595i
\(688\) 13.8981 0.529859
\(689\) −17.9843 + 17.5503i −0.685146 + 0.668613i
\(690\) −1.75547 1.27542i −0.0668296 0.0485545i
\(691\) 17.8435 + 40.0772i 0.678800 + 1.52461i 0.842845 + 0.538156i \(0.180879\pi\)
−0.164045 + 0.986453i \(0.552454\pi\)
\(692\) −7.72933 1.64292i −0.293825 0.0624544i
\(693\) 30.1801 + 13.4370i 1.14645 + 0.510431i
\(694\) 23.5523 7.65260i 0.894032 0.290489i
\(695\) 1.73164 + 8.14671i 0.0656847 + 0.309022i
\(696\) 14.4584 + 1.51964i 0.548045 + 0.0576018i
\(697\) −1.03278 0.335569i −0.0391192 0.0127106i
\(698\) 32.9039 6.99394i 1.24543 0.264724i
\(699\) −16.6614 + 7.41813i −0.630191 + 0.280579i
\(700\) −3.04792 + 2.74436i −0.115200 + 0.103727i
\(701\) 1.50516 + 4.63240i 0.0568490 + 0.174963i 0.975449 0.220225i \(-0.0706793\pi\)
−0.918600 + 0.395189i \(0.870679\pi\)
\(702\) −28.4118 + 7.24224i −1.07234 + 0.273341i
\(703\) 7.99295 + 24.5998i 0.301460 + 0.927798i
\(704\) 15.5587 + 34.9454i 0.586390 + 1.31705i
\(705\) −12.1910 + 5.42778i −0.459139 + 0.204422i
\(706\) −32.4721 14.4575i −1.22210 0.544115i
\(707\) 23.9278i 0.899899i
\(708\) 1.00522 0.580363i 0.0377784 0.0218114i
\(709\) −12.7883 + 28.7229i −0.480274 + 1.07871i 0.497196 + 0.867638i \(0.334363\pi\)
−0.977470 + 0.211074i \(0.932304\pi\)
\(710\) −5.60504 1.82119i −0.210353 0.0683480i
\(711\) 12.9587 14.3921i 0.485990 0.539747i
\(712\) −9.12481 + 15.8046i −0.341967 + 0.592304i
\(713\) 6.05573 2.32091i 0.226789 0.0869186i
\(714\) −0.945528 −0.0353855
\(715\) 24.8726 + 1.60831i 0.930181 + 0.0601475i
\(716\) −0.108345 + 0.333451i −0.00404904 + 0.0124617i
\(717\) 0.594415 0.0624756i 0.0221988 0.00233319i
\(718\) 23.3762 40.4887i 0.872391 1.51103i
\(719\) −10.9456 18.9584i −0.408204 0.707030i 0.586485 0.809960i \(-0.300511\pi\)
−0.994689 + 0.102930i \(0.967178\pi\)
\(720\) 5.23937 + 7.21138i 0.195260 + 0.268752i
\(721\) 7.61887 + 0.800776i 0.283742 + 0.0298225i
\(722\) −39.3881 4.13986i −1.46587 0.154070i
\(723\) 11.6096 3.77220i 0.431767 0.140290i
\(724\) −6.68179 2.97492i −0.248327 0.110562i
\(725\) 19.4309 + 4.13016i 0.721645 + 0.153390i
\(726\) 36.6792 33.0261i 1.36129 1.22571i
\(727\) 39.6255 + 28.7896i 1.46963 + 1.06775i 0.980721 + 0.195411i \(0.0626041\pi\)
0.488907 + 0.872336i \(0.337396\pi\)
\(728\) 25.0506 9.26664i 0.928437 0.343445i
\(729\) 5.72333 17.6146i 0.211975 0.652392i
\(730\) −8.48437 19.0562i −0.314021 0.705302i
\(731\) 0.380881 + 0.423012i 0.0140874 + 0.0156456i
\(732\) −2.94689 + 3.27285i −0.108920 + 0.120968i
\(733\) 10.4614 + 14.3989i 0.386400 + 0.531834i 0.957266 0.289210i \(-0.0933924\pi\)
−0.570866 + 0.821043i \(0.693392\pi\)
\(734\) −8.43942 7.59889i −0.311505 0.280480i
\(735\) 2.03040 + 0.213404i 0.0748926 + 0.00787152i
\(736\) 1.39992 1.92682i 0.0516016 0.0710235i
\(737\) 13.6573 + 6.08064i 0.503074 + 0.223983i
\(738\) 7.86338 13.6198i 0.289455 0.501351i
\(739\) −37.0794 21.4078i −1.36399 0.787498i −0.373834 0.927495i \(-0.621957\pi\)
−0.990152 + 0.139998i \(0.955291\pi\)
\(740\) 1.25118 0.909032i 0.0459941 0.0334167i
\(741\) 26.3343 + 4.50128i 0.967416 + 0.165359i
\(742\) −9.76267 30.0464i −0.358399 1.10304i
\(743\) −7.85535 4.53529i −0.288185 0.166384i 0.348938 0.937146i \(-0.386542\pi\)
−0.637123 + 0.770762i \(0.719876\pi\)
\(744\) 15.4812 0.803128i 0.567567 0.0294441i
\(745\) −2.93331 5.08064i −0.107468 0.186140i
\(746\) −52.0826 + 16.9227i −1.90688 + 0.619583i
\(747\) 1.26264 + 5.94026i 0.0461976 + 0.217343i
\(748\) 0.177130 0.397840i 0.00647651 0.0145465i
\(749\) 31.5162i 1.15158i
\(750\) −8.20087 14.2043i −0.299454 0.518669i
\(751\) −4.01631 38.2127i −0.146557 1.39440i −0.782494 0.622658i \(-0.786053\pi\)
0.635936 0.771741i \(-0.280614\pi\)
\(752\) −20.6049 46.2793i −0.751383 1.68763i
\(753\) 11.3878 + 8.27374i 0.414995 + 0.301512i
\(754\) 24.0913 + 16.0667i 0.877354 + 0.585116i
\(755\)