Properties

Label 403.2.bs.a.4.8
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 4.8
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.360928 + 1.69803i) q^{2} +(0.922989 + 1.02508i) q^{3} +(-0.925954 - 0.412261i) q^{4} -3.21206i q^{5} +(-2.07376 + 1.19728i) q^{6} +(2.07463 - 4.65970i) q^{7} +(-1.00652 + 1.38535i) q^{8} +(0.114699 - 1.09128i) q^{9} +O(q^{10})\) \(q+(-0.360928 + 1.69803i) q^{2} +(0.922989 + 1.02508i) q^{3} +(-0.925954 - 0.412261i) q^{4} -3.21206i q^{5} +(-2.07376 + 1.19728i) q^{6} +(2.07463 - 4.65970i) q^{7} +(-1.00652 + 1.38535i) q^{8} +(0.114699 - 1.09128i) q^{9} +(5.45418 + 1.15932i) q^{10} +(0.851973 - 0.0895460i) q^{11} +(-0.432043 - 1.32969i) q^{12} +(0.333053 + 3.59014i) q^{13} +(7.16353 + 5.20461i) q^{14} +(3.29263 - 2.96469i) q^{15} +(-3.34553 - 3.71559i) q^{16} +(0.564410 - 5.37000i) q^{17} +(1.81164 + 0.588637i) q^{18} +(5.79368 + 5.21666i) q^{19} +(-1.32421 + 2.97422i) q^{20} +(6.69144 - 2.17418i) q^{21} +(-0.155449 + 1.47900i) q^{22} +(-4.83762 + 2.15385i) q^{23} +(-2.34910 + 0.246901i) q^{24} -5.31731 q^{25} +(-6.21638 - 0.730246i) q^{26} +(4.57236 - 3.32202i) q^{27} +(-3.84203 + 3.45938i) q^{28} +(-4.21286 - 0.895471i) q^{29} +(3.84575 + 6.66103i) q^{30} +(-1.08645 + 5.46074i) q^{31} +(4.55074 - 2.62737i) q^{32} +(0.878154 + 0.790694i) q^{33} +(8.91473 + 2.89657i) q^{34} +(-14.9672 - 6.66384i) q^{35} +(-0.556100 + 0.963194i) q^{36} +(-0.511548 - 0.295342i) q^{37} +(-10.9492 + 7.95503i) q^{38} +(-3.37278 + 3.65506i) q^{39} +(4.44982 + 3.23299i) q^{40} +(0.0643393 - 0.302692i) q^{41} +(1.27670 + 12.1470i) q^{42} +(-3.87945 + 4.30856i) q^{43} +(-0.825805 - 0.268320i) q^{44} +(-3.50527 - 0.368419i) q^{45} +(-1.91127 - 8.99181i) q^{46} +(3.70113 + 1.20257i) q^{47} +(0.720899 - 6.85889i) q^{48} +(-12.7248 - 14.1323i) q^{49} +(1.91917 - 9.02897i) q^{50} +(6.02564 - 4.37789i) q^{51} +(1.17168 - 3.46161i) q^{52} +(4.09651 + 2.97629i) q^{53} +(3.99060 + 8.96303i) q^{54} +(-0.287627 - 2.73659i) q^{55} +(4.36717 + 7.56415i) q^{56} +10.7539i q^{57} +(3.04108 - 6.83037i) q^{58} +(0.930322 + 4.37682i) q^{59} +(-4.27105 + 1.38775i) q^{60} +(5.33603 + 9.24228i) q^{61} +(-8.88038 - 3.81575i) q^{62} +(-4.84710 - 2.79847i) q^{63} +(-0.271184 - 0.834617i) q^{64} +(11.5317 - 1.06978i) q^{65} +(-1.65957 + 1.20575i) q^{66} +(3.52227 + 2.03358i) q^{67} +(-2.73646 + 4.73969i) q^{68} +(-6.67294 - 2.97098i) q^{69} +(16.7175 - 23.0097i) q^{70} +(-8.70458 - 0.914888i) q^{71} +(1.39637 + 1.25729i) q^{72} +(5.63434 + 7.75500i) q^{73} +(0.686133 - 0.762028i) q^{74} +(-4.90782 - 5.45069i) q^{75} +(-3.21406 - 7.21890i) q^{76} +(1.35027 - 4.15571i) q^{77} +(-4.98908 - 7.04631i) q^{78} +(4.01041 + 2.91373i) q^{79} +(-11.9347 + 10.7460i) q^{80} +(4.40563 + 0.936446i) q^{81} +(0.490760 + 0.218500i) q^{82} +(4.34577 - 1.41202i) q^{83} +(-7.09230 - 0.745431i) q^{84} +(-17.2488 - 1.81292i) q^{85} +(-5.91588 - 8.14251i) q^{86} +(-2.97049 - 5.14504i) q^{87} +(-0.733472 + 1.27041i) q^{88} +(-3.34557 + 0.351633i) q^{89} +(1.89074 - 5.81909i) q^{90} +(17.4199 + 5.89629i) q^{91} +5.36736 q^{92} +(-6.60049 + 3.92650i) q^{93} +(-3.37785 + 5.85060i) q^{94} +(16.7562 - 18.6096i) q^{95} +(6.89356 + 2.23985i) q^{96} +(3.12803 - 7.02568i) q^{97} +(28.5898 - 16.5064i) q^{98} -0.940016i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.360928 + 1.69803i −0.255215 + 1.20069i 0.644635 + 0.764490i \(0.277009\pi\)
−0.899850 + 0.436200i \(0.856324\pi\)
\(3\) 0.922989 + 1.02508i 0.532888 + 0.591832i 0.948132 0.317878i \(-0.102970\pi\)
−0.415244 + 0.909710i \(0.636304\pi\)
\(4\) −0.925954 0.412261i −0.462977 0.206131i
\(5\) 3.21206i 1.43648i −0.695798 0.718238i \(-0.744949\pi\)
0.695798 0.718238i \(-0.255051\pi\)
\(6\) −2.07376 + 1.19728i −0.846608 + 0.488789i
\(7\) 2.07463 4.65970i 0.784137 1.76120i 0.148946 0.988845i \(-0.452412\pi\)
0.635191 0.772355i \(-0.280922\pi\)
\(8\) −1.00652 + 1.38535i −0.355857 + 0.489795i
\(9\) 0.114699 1.09128i 0.0382329 0.363762i
\(10\) 5.45418 + 1.15932i 1.72476 + 0.366610i
\(11\) 0.851973 0.0895460i 0.256880 0.0269991i 0.0247867 0.999693i \(-0.492109\pi\)
0.232093 + 0.972694i \(0.425443\pi\)
\(12\) −0.432043 1.32969i −0.124720 0.383849i
\(13\) 0.333053 + 3.59014i 0.0923722 + 0.995725i
\(14\) 7.16353 + 5.20461i 1.91453 + 1.39099i
\(15\) 3.29263 2.96469i 0.850152 0.765481i
\(16\) −3.34553 3.71559i −0.836382 0.928897i
\(17\) 0.564410 5.37000i 0.136890 1.30242i −0.683221 0.730212i \(-0.739421\pi\)
0.820110 0.572205i \(-0.193912\pi\)
\(18\) 1.81164 + 0.588637i 0.427007 + 0.138743i
\(19\) 5.79368 + 5.21666i 1.32916 + 1.19678i 0.964019 + 0.265832i \(0.0856465\pi\)
0.365143 + 0.930952i \(0.381020\pi\)
\(20\) −1.32421 + 2.97422i −0.296102 + 0.665055i
\(21\) 6.69144 2.17418i 1.46019 0.474445i
\(22\) −0.155449 + 1.47900i −0.0331418 + 0.315323i
\(23\) −4.83762 + 2.15385i −1.00871 + 0.449108i −0.843488 0.537148i \(-0.819502\pi\)
−0.165225 + 0.986256i \(0.552835\pi\)
\(24\) −2.34910 + 0.246901i −0.479509 + 0.0503984i
\(25\) −5.31731 −1.06346
\(26\) −6.21638 0.730246i −1.21913 0.143213i
\(27\) 4.57236 3.32202i 0.879951 0.639322i
\(28\) −3.84203 + 3.45938i −0.726075 + 0.653761i
\(29\) −4.21286 0.895471i −0.782308 0.166285i −0.200590 0.979675i \(-0.564286\pi\)
−0.581718 + 0.813391i \(0.697619\pi\)
\(30\) 3.84575 + 6.66103i 0.702134 + 1.21613i
\(31\) −1.08645 + 5.46074i −0.195131 + 0.980777i
\(32\) 4.55074 2.62737i 0.804465 0.464458i
\(33\) 0.878154 + 0.790694i 0.152867 + 0.137642i
\(34\) 8.91473 + 2.89657i 1.52886 + 0.496758i
\(35\) −14.9672 6.66384i −2.52992 1.12639i
\(36\) −0.556100 + 0.963194i −0.0926834 + 0.160532i
\(37\) −0.511548 0.295342i −0.0840980 0.0485540i 0.457361 0.889281i \(-0.348795\pi\)
−0.541459 + 0.840727i \(0.682128\pi\)
\(38\) −10.9492 + 7.95503i −1.77619 + 1.29048i
\(39\) −3.37278 + 3.65506i −0.540078 + 0.585278i
\(40\) 4.44982 + 3.23299i 0.703579 + 0.511180i
\(41\) 0.0643393 0.302692i 0.0100481 0.0472726i −0.972838 0.231487i \(-0.925641\pi\)
0.982886 + 0.184215i \(0.0589742\pi\)
\(42\) 1.27670 + 12.1470i 0.196999 + 1.87432i
\(43\) −3.87945 + 4.30856i −0.591610 + 0.657050i −0.962390 0.271671i \(-0.912424\pi\)
0.370780 + 0.928721i \(0.379090\pi\)
\(44\) −0.825805 0.268320i −0.124495 0.0404508i
\(45\) −3.50527 0.368419i −0.522535 0.0549206i
\(46\) −1.91127 8.99181i −0.281801 1.32577i
\(47\) 3.70113 + 1.20257i 0.539866 + 0.175413i 0.566242 0.824239i \(-0.308397\pi\)
−0.0263762 + 0.999652i \(0.508397\pi\)
\(48\) 0.720899 6.85889i 0.104053 0.989996i
\(49\) −12.7248 14.1323i −1.81783 2.01890i
\(50\) 1.91917 9.02897i 0.271411 1.27689i
\(51\) 6.02564 4.37789i 0.843759 0.613027i
\(52\) 1.17168 3.46161i 0.162483 0.480039i
\(53\) 4.09651 + 2.97629i 0.562699 + 0.408825i 0.832446 0.554107i \(-0.186940\pi\)
−0.269747 + 0.962931i \(0.586940\pi\)
\(54\) 3.99060 + 8.96303i 0.543051 + 1.21971i
\(55\) −0.287627 2.73659i −0.0387836 0.369001i
\(56\) 4.36717 + 7.56415i 0.583587 + 1.01080i
\(57\) 10.7539i 1.42439i
\(58\) 3.04108 6.83037i 0.399313 0.896871i
\(59\) 0.930322 + 4.37682i 0.121118 + 0.569813i 0.996294 + 0.0860100i \(0.0274117\pi\)
−0.875177 + 0.483803i \(0.839255\pi\)
\(60\) −4.27105 + 1.38775i −0.551390 + 0.179158i
\(61\) 5.33603 + 9.24228i 0.683209 + 1.18335i 0.973996 + 0.226565i \(0.0727496\pi\)
−0.290787 + 0.956788i \(0.593917\pi\)
\(62\) −8.88038 3.81575i −1.12781 0.484601i
\(63\) −4.84710 2.79847i −0.610677 0.352575i
\(64\) −0.271184 0.834617i −0.0338979 0.104327i
\(65\) 11.5317 1.06978i 1.43033 0.132690i
\(66\) −1.65957 + 1.20575i −0.204279 + 0.148418i
\(67\) 3.52227 + 2.03358i 0.430313 + 0.248441i 0.699480 0.714652i \(-0.253415\pi\)
−0.269167 + 0.963094i \(0.586748\pi\)
\(68\) −2.73646 + 4.73969i −0.331845 + 0.574772i
\(69\) −6.67294 2.97098i −0.803327 0.357664i
\(70\) 16.7175 23.0097i 1.99812 2.75018i
\(71\) −8.70458 0.914888i −1.03304 0.108577i −0.427197 0.904159i \(-0.640499\pi\)
−0.605847 + 0.795581i \(0.707166\pi\)
\(72\) 1.39637 + 1.25729i 0.164563 + 0.148173i
\(73\) 5.63434 + 7.75500i 0.659449 + 0.907654i 0.999463 0.0327664i \(-0.0104317\pi\)
−0.340014 + 0.940420i \(0.610432\pi\)
\(74\) 0.686133 0.762028i 0.0797614 0.0885840i
\(75\) −4.90782 5.45069i −0.566706 0.629391i
\(76\) −3.21406 7.21890i −0.368678 0.828064i
\(77\) 1.35027 4.15571i 0.153878 0.473588i
\(78\) −4.98908 7.04631i −0.564902 0.797838i
\(79\) 4.01041 + 2.91373i 0.451206 + 0.327820i 0.790072 0.613014i \(-0.210043\pi\)
−0.338866 + 0.940835i \(0.610043\pi\)
\(80\) −11.9347 + 10.7460i −1.33434 + 1.20144i
\(81\) 4.40563 + 0.936446i 0.489515 + 0.104050i
\(82\) 0.490760 + 0.218500i 0.0541953 + 0.0241293i
\(83\) 4.34577 1.41202i 0.477010 0.154990i −0.0606373 0.998160i \(-0.519313\pi\)
0.537647 + 0.843170i \(0.319313\pi\)
\(84\) −7.09230 0.745431i −0.773833 0.0813332i
\(85\) −17.2488 1.81292i −1.87089 0.196638i
\(86\) −5.91588 8.14251i −0.637925 0.878029i
\(87\) −2.97049 5.14504i −0.318470 0.551606i
\(88\) −0.733472 + 1.27041i −0.0781884 + 0.135426i
\(89\) −3.34557 + 0.351633i −0.354629 + 0.0372731i −0.280168 0.959951i \(-0.590390\pi\)
−0.0744611 + 0.997224i \(0.523724\pi\)
\(90\) 1.89074 5.81909i 0.199301 0.613386i
\(91\) 17.4199 + 5.89629i 1.82610 + 0.618099i
\(92\) 5.36736 0.559586
\(93\) −6.60049 + 3.92650i −0.684439 + 0.407159i
\(94\) −3.37785 + 5.85060i −0.348398 + 0.603444i
\(95\) 16.7562 18.6096i 1.71915 1.90931i
\(96\) 6.89356 + 2.23985i 0.703571 + 0.228604i
\(97\) 3.12803 7.02568i 0.317604 0.713349i −0.682238 0.731130i \(-0.738993\pi\)
0.999842 + 0.0177806i \(0.00566003\pi\)
\(98\) 28.5898 16.5064i 2.88801 1.66739i
\(99\) 0.940016i 0.0944752i
\(100\) 4.92359 + 2.19212i 0.492359 + 0.219212i
\(101\) −6.54984 + 2.91617i −0.651733 + 0.290170i −0.705847 0.708365i \(-0.749433\pi\)
0.0541137 + 0.998535i \(0.482767\pi\)
\(102\) 5.25897 + 11.8118i 0.520716 + 1.16955i
\(103\) −2.49633 7.68291i −0.245970 0.757019i −0.995475 0.0950204i \(-0.969708\pi\)
0.749505 0.661999i \(-0.230292\pi\)
\(104\) −5.30882 3.15213i −0.520573 0.309092i
\(105\) −6.98359 21.4933i −0.681529 2.09753i
\(106\) −6.53238 + 5.88178i −0.634481 + 0.571289i
\(107\) −0.782735 + 0.348496i −0.0756698 + 0.0336904i −0.444223 0.895916i \(-0.646520\pi\)
0.368553 + 0.929607i \(0.379853\pi\)
\(108\) −5.60334 + 1.19103i −0.539181 + 0.114607i
\(109\) −0.321907 0.104594i −0.0308331 0.0100183i 0.293560 0.955941i \(-0.405160\pi\)
−0.324393 + 0.945922i \(0.605160\pi\)
\(110\) 4.75063 + 0.499311i 0.452954 + 0.0476074i
\(111\) −0.169403 0.796977i −0.0160790 0.0756457i
\(112\) −24.2543 + 7.88069i −2.29181 + 0.744655i
\(113\) −0.393553 0.175221i −0.0370224 0.0164834i 0.388142 0.921600i \(-0.373117\pi\)
−0.425164 + 0.905116i \(0.639784\pi\)
\(114\) −18.2605 3.88139i −1.71025 0.363526i
\(115\) 6.91828 + 15.5387i 0.645133 + 1.44899i
\(116\) 3.53175 + 2.56596i 0.327914 + 0.238244i
\(117\) 3.95606 + 0.0483286i 0.365738 + 0.00446798i
\(118\) −7.76776 −0.715080
\(119\) −23.8517 13.7708i −2.18648 1.26236i
\(120\) 0.793059 + 7.54545i 0.0723960 + 0.688802i
\(121\) −10.0418 + 2.13445i −0.912889 + 0.194041i
\(122\) −17.6196 + 5.72496i −1.59521 + 0.518314i
\(123\) 0.369669 0.213429i 0.0333320 0.0192442i
\(124\) 3.25725 4.60849i 0.292510 0.413855i
\(125\) 1.01922i 0.0911617i
\(126\) 6.50135 7.22049i 0.579187 0.643252i
\(127\) 1.51639 + 1.68412i 0.134558 + 0.149441i 0.806658 0.591019i \(-0.201274\pi\)
−0.672100 + 0.740460i \(0.734607\pi\)
\(128\) 11.9670 1.25778i 1.05774 0.111173i
\(129\) −7.99732 −0.704125
\(130\) −2.34559 + 19.9674i −0.205722 + 1.75125i
\(131\) 5.81721 4.22645i 0.508252 0.369267i −0.303908 0.952701i \(-0.598292\pi\)
0.812160 + 0.583434i \(0.198292\pi\)
\(132\) −0.487158 1.09418i −0.0424017 0.0952357i
\(133\) 36.3278 16.1742i 3.15002 1.40248i
\(134\) −4.72437 + 5.24695i −0.408123 + 0.453267i
\(135\) −10.6705 14.6867i −0.918371 1.26403i
\(136\) 6.87125 + 6.18690i 0.589205 + 0.530522i
\(137\) 3.55395 + 16.7200i 0.303634 + 1.42849i 0.820120 + 0.572191i \(0.193906\pi\)
−0.516486 + 0.856296i \(0.672760\pi\)
\(138\) 7.45328 10.2586i 0.634465 0.873266i
\(139\) 8.61978 1.83219i 0.731120 0.155404i 0.172714 0.984972i \(-0.444746\pi\)
0.558406 + 0.829568i \(0.311413\pi\)
\(140\) 11.1117 + 12.3408i 0.939112 + 1.04299i
\(141\) 2.18337 + 4.90393i 0.183873 + 0.412985i
\(142\) 4.69524 14.4505i 0.394016 1.21266i
\(143\) 0.605234 + 3.02888i 0.0506122 + 0.253287i
\(144\) −4.43849 + 3.22475i −0.369874 + 0.268729i
\(145\) −2.87630 + 13.5319i −0.238864 + 1.12377i
\(146\) −15.2018 + 6.76829i −1.25811 + 0.560148i
\(147\) 2.74195 26.0879i 0.226152 2.15170i
\(148\) 0.351912 + 0.484365i 0.0289270 + 0.0398146i
\(149\) −16.9482 + 9.78507i −1.38845 + 0.801624i −0.993141 0.116922i \(-0.962697\pi\)
−0.395313 + 0.918547i \(0.629364\pi\)
\(150\) 11.0268 6.36633i 0.900335 0.519809i
\(151\) −8.23736 11.3378i −0.670347 0.922653i 0.329421 0.944183i \(-0.393146\pi\)
−0.999768 + 0.0215298i \(0.993146\pi\)
\(152\) −13.0583 + 2.77563i −1.05917 + 0.225134i
\(153\) −5.79546 1.23186i −0.468535 0.0995903i
\(154\) 6.56919 + 3.79272i 0.529360 + 0.305626i
\(155\) 17.5402 + 3.48973i 1.40886 + 0.280302i
\(156\) 4.62989 1.99395i 0.370688 0.159644i
\(157\) −2.36645 7.28317i −0.188863 0.581260i 0.811131 0.584865i \(-0.198853\pi\)
−0.999994 + 0.00360483i \(0.998853\pi\)
\(158\) −6.39508 + 5.75815i −0.508765 + 0.458094i
\(159\) 0.730090 + 6.94634i 0.0578999 + 0.550881i
\(160\) −8.43927 14.6172i −0.667183 1.15559i
\(161\) 27.0103i 2.12871i
\(162\) −3.18023 + 7.14292i −0.249863 + 0.561200i
\(163\) 20.5903 + 2.16413i 1.61276 + 0.169508i 0.867559 0.497335i \(-0.165688\pi\)
0.745199 + 0.666843i \(0.232355\pi\)
\(164\) −0.184364 + 0.253755i −0.0143964 + 0.0198149i
\(165\) 2.53975 2.82068i 0.197720 0.219590i
\(166\) 0.829156 + 7.88889i 0.0643550 + 0.612297i
\(167\) 1.51155 7.11129i 0.116967 0.550288i −0.880169 0.474661i \(-0.842571\pi\)
0.997136 0.0756275i \(-0.0240960\pi\)
\(168\) −3.72304 + 11.4583i −0.287239 + 0.884030i
\(169\) −12.7782 + 2.39141i −0.982935 + 0.183954i
\(170\) 9.30395 28.6346i 0.713580 2.19617i
\(171\) 6.35738 5.72421i 0.486161 0.437742i
\(172\) 5.36844 2.39019i 0.409340 0.182250i
\(173\) −13.3315 + 2.83370i −1.01358 + 0.215442i −0.684617 0.728903i \(-0.740031\pi\)
−0.328958 + 0.944345i \(0.606697\pi\)
\(174\) 9.80858 3.18700i 0.743586 0.241606i
\(175\) −11.0315 + 24.7771i −0.833900 + 1.87297i
\(176\) −3.18302 2.86600i −0.239929 0.216033i
\(177\) −3.62793 + 4.99341i −0.272692 + 0.375328i
\(178\) 0.610424 5.80780i 0.0457532 0.435313i
\(179\) 2.23821 + 21.2952i 0.167292 + 1.59168i 0.680064 + 0.733153i \(0.261952\pi\)
−0.512772 + 0.858525i \(0.671381\pi\)
\(180\) 3.09383 + 1.78623i 0.230601 + 0.133137i
\(181\) −8.50826 −0.632414 −0.316207 0.948690i \(-0.602409\pi\)
−0.316207 + 0.948690i \(0.602409\pi\)
\(182\) −16.2994 + 27.4514i −1.20819 + 2.03484i
\(183\) −4.54901 + 14.0004i −0.336272 + 1.03494i
\(184\) 1.88531 8.86968i 0.138987 0.653881i
\(185\) −0.948657 + 1.64312i −0.0697466 + 0.120805i
\(186\) −4.28503 12.6250i −0.314193 0.925712i
\(187\) 4.62564i 0.338260i
\(188\) −2.93131 2.63936i −0.213788 0.192495i
\(189\) −5.99363 28.1978i −0.435972 2.05109i
\(190\) 25.5520 + 35.1693i 1.85374 + 2.55145i
\(191\) −4.48636 7.77061i −0.324622 0.562261i 0.656814 0.754053i \(-0.271904\pi\)
−0.981436 + 0.191791i \(0.938570\pi\)
\(192\) 0.605253 1.04833i 0.0436803 0.0756566i
\(193\) 9.65444 1.01472i 0.694942 0.0730413i 0.249530 0.968367i \(-0.419724\pi\)
0.445412 + 0.895326i \(0.353057\pi\)
\(194\) 10.8008 + 7.84726i 0.775454 + 0.563401i
\(195\) 11.7403 + 10.8336i 0.840738 + 0.775808i
\(196\) 5.95637 + 18.3318i 0.425455 + 1.30941i
\(197\) 7.96523 0.837180i 0.567499 0.0596466i 0.183566 0.983007i \(-0.441236\pi\)
0.383933 + 0.923361i \(0.374569\pi\)
\(198\) 1.59618 + 0.339278i 0.113435 + 0.0241114i
\(199\) −1.08682 + 0.231012i −0.0770429 + 0.0163760i −0.246272 0.969201i \(-0.579206\pi\)
0.169229 + 0.985577i \(0.445872\pi\)
\(200\) 5.35196 7.36634i 0.378441 0.520879i
\(201\) 1.16642 + 5.48759i 0.0822731 + 0.387065i
\(202\) −2.58774 12.1744i −0.182073 0.856585i
\(203\) −12.9128 + 17.7729i −0.906298 + 1.24741i
\(204\) −7.38431 + 1.56958i −0.517005 + 0.109893i
\(205\) −0.972265 0.206661i −0.0679060 0.0144339i
\(206\) 13.9468 1.46587i 0.971721 0.102132i
\(207\) 1.79559 + 5.52626i 0.124802 + 0.384102i
\(208\) 12.2252 13.2484i 0.847667 0.918611i
\(209\) 5.40320 + 3.92565i 0.373747 + 0.271543i
\(210\) 39.0169 4.10084i 2.69242 0.282985i
\(211\) −0.371527 + 0.643504i −0.0255770 + 0.0443006i −0.878531 0.477686i \(-0.841476\pi\)
0.852954 + 0.521987i \(0.174809\pi\)
\(212\) −2.56617 4.44474i −0.176245 0.305266i
\(213\) −7.09640 9.76735i −0.486237 0.669248i
\(214\) −0.309247 1.45489i −0.0211397 0.0994543i
\(215\) 13.8393 + 12.4610i 0.943836 + 0.849833i
\(216\) 9.67799i 0.658504i
\(217\) 23.1914 + 16.3915i 1.57434 + 1.11273i
\(218\) 0.293789 0.508858i 0.0198979 0.0344642i
\(219\) −2.74909 + 12.9334i −0.185766 + 0.873961i
\(220\) −0.861860 + 2.65253i −0.0581066 + 0.178834i
\(221\) 19.4670 + 0.237816i 1.30949 + 0.0159972i
\(222\) 1.41444 0.0949307
\(223\) −2.59066 1.49572i −0.173484 0.100161i 0.410744 0.911751i \(-0.365269\pi\)
−0.584227 + 0.811590i \(0.698602\pi\)
\(224\) −2.80165 26.6559i −0.187193 1.78102i
\(225\) −0.609888 + 5.80270i −0.0406592 + 0.386847i
\(226\) 0.439576 0.605024i 0.0292402 0.0402456i
\(227\) −9.68639 8.72167i −0.642908 0.578877i 0.281838 0.959462i \(-0.409056\pi\)
−0.924746 + 0.380585i \(0.875723\pi\)
\(228\) 4.43343 9.95764i 0.293611 0.659461i
\(229\) 1.21978 0.396330i 0.0806053 0.0261902i −0.268437 0.963297i \(-0.586507\pi\)
0.349042 + 0.937107i \(0.386507\pi\)
\(230\) −28.8822 + 6.13911i −1.90444 + 0.404801i
\(231\) 5.50624 2.45154i 0.362284 0.161299i
\(232\) 5.48085 4.93498i 0.359835 0.323997i
\(233\) −3.14882 + 9.69108i −0.206286 + 0.634884i 0.793372 + 0.608737i \(0.208324\pi\)
−0.999658 + 0.0261464i \(0.991676\pi\)
\(234\) −1.50992 + 6.70008i −0.0987063 + 0.437998i
\(235\) 3.86273 11.8883i 0.251977 0.775504i
\(236\) 0.942959 4.43627i 0.0613814 0.288777i
\(237\) 0.714745 + 6.80034i 0.0464276 + 0.441730i
\(238\) 31.9919 35.5306i 2.07373 2.30311i
\(239\) 17.0316 23.4419i 1.10168 1.51633i 0.268544 0.963268i \(-0.413458\pi\)
0.833137 0.553066i \(-0.186542\pi\)
\(240\) −22.0312 2.31557i −1.42210 0.149469i
\(241\) −9.24368 + 20.7616i −0.595438 + 1.33737i 0.324714 + 0.945812i \(0.394732\pi\)
−0.920152 + 0.391562i \(0.871935\pi\)
\(242\) 17.8217i 1.14562i
\(243\) −5.37121 9.30321i −0.344563 0.596801i
\(244\) −1.13069 10.7578i −0.0723848 0.688696i
\(245\) −45.3938 + 40.8727i −2.90010 + 2.61126i
\(246\) 0.228985 + 0.704743i 0.0145995 + 0.0449328i
\(247\) −16.7989 + 22.5375i −1.06889 + 1.43403i
\(248\) −6.47151 7.00143i −0.410941 0.444591i
\(249\) 5.45854 + 3.15149i 0.345921 + 0.199717i
\(250\) −1.73067 0.367865i −0.109457 0.0232658i
\(251\) −13.5565 + 2.88153i −0.855680 + 0.181880i −0.614808 0.788676i \(-0.710767\pi\)
−0.240872 + 0.970557i \(0.577433\pi\)
\(252\) 3.33449 + 4.58953i 0.210053 + 0.289113i
\(253\) −3.92865 + 2.26821i −0.246992 + 0.142601i
\(254\) −3.40700 + 1.96703i −0.213774 + 0.123422i
\(255\) −14.0620 19.3547i −0.880598 1.21204i
\(256\) −2.00001 + 19.0288i −0.125000 + 1.18930i
\(257\) −5.81797 + 2.59033i −0.362915 + 0.161580i −0.580090 0.814552i \(-0.696983\pi\)
0.217175 + 0.976133i \(0.430316\pi\)
\(258\) 2.88646 13.5797i 0.179703 0.845436i
\(259\) −2.43748 + 1.77093i −0.151458 + 0.110040i
\(260\) −11.1189 3.76351i −0.689564 0.233403i
\(261\) −1.46042 + 4.49472i −0.0903979 + 0.278216i
\(262\) 5.07706 + 11.4033i 0.313662 + 0.704496i
\(263\) −12.0244 13.3545i −0.741458 0.823472i 0.247929 0.968778i \(-0.420250\pi\)
−0.989387 + 0.145306i \(0.953583\pi\)
\(264\) −1.97926 + 0.420706i −0.121815 + 0.0258926i
\(265\) 9.56001 13.1582i 0.587267 0.808303i
\(266\) 14.3526 + 67.5235i 0.880012 + 4.14013i
\(267\) −3.44838 3.10493i −0.211037 0.190019i
\(268\) −2.42309 3.33510i −0.148014 0.203724i
\(269\) −10.2622 + 11.3974i −0.625700 + 0.694910i −0.969766 0.244035i \(-0.921529\pi\)
0.344066 + 0.938945i \(0.388195\pi\)
\(270\) 28.7898 12.8180i 1.75209 0.780080i
\(271\) 0.0974070 + 0.218780i 0.00591705 + 0.0132899i 0.916480 0.400081i \(-0.131018\pi\)
−0.910563 + 0.413371i \(0.864351\pi\)
\(272\) −21.8410 + 15.8684i −1.32430 + 0.962162i
\(273\) 10.0342 + 23.2991i 0.607298 + 1.41012i
\(274\) −29.6738 −1.79266
\(275\) −4.53021 + 0.476144i −0.273182 + 0.0287126i
\(276\) 4.95402 + 5.50199i 0.298197 + 0.331181i
\(277\) 10.2601 11.3950i 0.616472 0.684661i −0.351366 0.936238i \(-0.614283\pi\)
0.967837 + 0.251577i \(0.0809492\pi\)
\(278\) 15.2980i 0.917511i
\(279\) 5.83460 + 1.81196i 0.349309 + 0.108479i
\(280\) 24.2965 14.0276i 1.45199 0.838309i
\(281\) 11.5368 3.74854i 0.688230 0.223619i 0.0560348 0.998429i \(-0.482154\pi\)
0.632195 + 0.774809i \(0.282154\pi\)
\(282\) −9.11507 + 1.93747i −0.542795 + 0.115375i
\(283\) −2.41399 22.9675i −0.143497 1.36528i −0.794989 0.606624i \(-0.792523\pi\)
0.651493 0.758655i \(-0.274143\pi\)
\(284\) 7.68287 + 4.43571i 0.455895 + 0.263211i
\(285\) 34.5422 2.04610
\(286\) −5.36158 0.0654988i −0.317037 0.00387303i
\(287\) −1.27698 0.927777i −0.0753775 0.0547649i
\(288\) −2.34525 5.26751i −0.138195 0.310391i
\(289\) −11.8899 2.52727i −0.699403 0.148663i
\(290\) −21.9395 9.76811i −1.28833 0.573603i
\(291\) 10.0890 3.27813i 0.591430 0.192167i
\(292\) −2.02005 9.50360i −0.118215 0.556156i
\(293\) 2.52754 + 0.265656i 0.147661 + 0.0155198i 0.178070 0.984018i \(-0.443015\pi\)
−0.0304097 + 0.999538i \(0.509681\pi\)
\(294\) 43.3085 + 14.0718i 2.52580 + 0.820683i
\(295\) 14.0586 2.98825i 0.818523 0.173982i
\(296\) 0.924034 0.411407i 0.0537084 0.0239125i
\(297\) 3.59806 3.23971i 0.208780 0.187987i
\(298\) −10.4983 32.3104i −0.608149 1.87169i
\(299\) −9.34378 16.6504i −0.540365 0.962915i
\(300\) 2.29731 + 7.07039i 0.132635 + 0.408209i
\(301\) 12.0282 + 27.0157i 0.693293 + 1.55716i
\(302\) 22.2250 9.89519i 1.27890 0.569404i
\(303\) −9.03475 4.02253i −0.519033 0.231088i
\(304\) 38.9794i 2.23562i
\(305\) 29.6867 17.1396i 1.69986 0.981413i
\(306\) 4.18349 9.39627i 0.239154 0.537149i
\(307\) −11.1698 3.62928i −0.637493 0.207134i −0.0276018 0.999619i \(-0.508787\pi\)
−0.609892 + 0.792485i \(0.708787\pi\)
\(308\) −2.96353 + 3.29134i −0.168863 + 0.187541i
\(309\) 5.57154 9.65018i 0.316954 0.548980i
\(310\) −12.2564 + 28.5243i −0.696118 + 1.62007i
\(311\) −29.5843 −1.67757 −0.838785 0.544462i \(-0.816734\pi\)
−0.838785 + 0.544462i \(0.816734\pi\)
\(312\) −1.66878 8.35137i −0.0944762 0.472803i
\(313\) 3.03859 9.35181i 0.171751 0.528595i −0.827719 0.561143i \(-0.810362\pi\)
0.999470 + 0.0325472i \(0.0103619\pi\)
\(314\) 13.2212 1.38960i 0.746114 0.0784197i
\(315\) −8.98886 + 15.5692i −0.506465 + 0.877223i
\(316\) −2.51223 4.35132i −0.141324 0.244781i
\(317\) 9.18769 + 12.6458i 0.516032 + 0.710258i 0.984922 0.172999i \(-0.0553458\pi\)
−0.468890 + 0.883257i \(0.655346\pi\)
\(318\) −12.0586 1.26741i −0.676214 0.0710730i
\(319\) −3.66943 0.385673i −0.205449 0.0215935i
\(320\) −2.68084 + 0.871057i −0.149863 + 0.0486936i
\(321\) −1.07969 0.480710i −0.0602626 0.0268306i
\(322\) −45.8643 9.74876i −2.55592 0.543277i
\(323\) 31.2835 28.1678i 1.74066 1.56730i
\(324\) −3.69335 2.68338i −0.205186 0.149077i
\(325\) −1.77094 19.0899i −0.0982343 1.05892i
\(326\) −11.1064 + 34.1819i −0.615125 + 1.89316i
\(327\) −0.189899 0.426520i −0.0105014 0.0235866i
\(328\) 0.354577 + 0.393797i 0.0195782 + 0.0217438i
\(329\) 13.2821 14.7513i 0.732266 0.813264i
\(330\) 3.87294 + 5.33065i 0.213198 + 0.293442i
\(331\) −2.74704 2.47344i −0.150991 0.135953i 0.590173 0.807277i \(-0.299059\pi\)
−0.741164 + 0.671324i \(0.765726\pi\)
\(332\) −4.60610 0.484121i −0.252793 0.0265696i
\(333\) −0.380977 + 0.524369i −0.0208774 + 0.0287353i
\(334\) 11.5296 + 5.13333i 0.630874 + 0.280883i
\(335\) 6.53198 11.3137i 0.356880 0.618134i
\(336\) −30.4648 17.5888i −1.66199 0.959550i
\(337\) 23.3405 16.9579i 1.27144 0.923755i 0.272181 0.962246i \(-0.412255\pi\)
0.999259 + 0.0384908i \(0.0122550\pi\)
\(338\) 0.551304 22.5608i 0.0299870 1.22715i
\(339\) −0.183629 0.565152i −0.00997337 0.0306949i
\(340\) 15.2242 + 8.78968i 0.825646 + 0.476687i
\(341\) −0.436636 + 4.74969i −0.0236452 + 0.257210i
\(342\) 7.42534 + 12.8611i 0.401517 + 0.695447i
\(343\) −58.2943 + 18.9410i −3.14760 + 1.02272i
\(344\) −2.06414 9.71103i −0.111291 0.523584i
\(345\) −9.54297 + 21.4339i −0.513776 + 1.15396i
\(346\) 23.6601i 1.27197i
\(347\) −12.3316 21.3589i −0.661993 1.14661i −0.980091 0.198548i \(-0.936378\pi\)
0.318098 0.948058i \(-0.396956\pi\)
\(348\) 0.629437 + 5.98869i 0.0337414 + 0.321028i
\(349\) −6.78377 15.2366i −0.363127 0.815596i −0.999039 0.0438346i \(-0.986043\pi\)
0.635912 0.771762i \(-0.280624\pi\)
\(350\) −38.0907 27.6745i −2.03603 1.47926i
\(351\) 13.4493 + 15.3090i 0.717872 + 0.817134i
\(352\) 3.64184 2.64595i 0.194111 0.141030i
\(353\) −0.863338 + 4.06169i −0.0459508 + 0.216182i −0.995132 0.0985475i \(-0.968580\pi\)
0.949182 + 0.314729i \(0.101914\pi\)
\(354\) −7.16956 7.96260i −0.381058 0.423208i
\(355\) −2.93867 + 27.9596i −0.155969 + 1.48394i
\(356\) 3.24281 + 1.05365i 0.171868 + 0.0558435i
\(357\) −7.89864 37.1602i −0.418040 1.96673i
\(358\) −36.9678 3.88547i −1.95381 0.205353i
\(359\) 6.63217 + 2.15492i 0.350032 + 0.113732i 0.478756 0.877948i \(-0.341088\pi\)
−0.128723 + 0.991681i \(0.541088\pi\)
\(360\) 4.03850 4.48521i 0.212847 0.236391i
\(361\) 4.36723 + 41.5514i 0.229854 + 2.18692i
\(362\) 3.07087 14.4473i 0.161401 0.759333i
\(363\) −11.4564 8.32359i −0.601307 0.436875i
\(364\) −13.6992 12.6413i −0.718035 0.662582i
\(365\) 24.9095 18.0978i 1.30382 0.947283i
\(366\) −22.1313 12.7775i −1.15682 0.667890i
\(367\) −7.89017 + 13.6662i −0.411863 + 0.713368i −0.995094 0.0989387i \(-0.968455\pi\)
0.583230 + 0.812307i \(0.301789\pi\)
\(368\) 24.1872 + 10.7688i 1.26084 + 0.561364i
\(369\) −0.322944 0.104931i −0.0168118 0.00546248i
\(370\) −2.44768 2.20390i −0.127249 0.114575i
\(371\) 22.3674 12.9138i 1.16126 0.670451i
\(372\) 7.73049 0.914636i 0.400807 0.0474216i
\(373\) −13.8462 23.9823i −0.716927 1.24175i −0.962212 0.272303i \(-0.912215\pi\)
0.245285 0.969451i \(-0.421119\pi\)
\(374\) 7.85449 + 1.66952i 0.406146 + 0.0863290i
\(375\) −1.04478 + 0.940728i −0.0539524 + 0.0485790i
\(376\) −5.39123 + 3.91696i −0.278032 + 0.202002i
\(377\) 1.81176 15.4230i 0.0933103 0.794323i
\(378\) 50.0440 2.57399
\(379\) −28.2628 + 2.97054i −1.45176 + 0.152586i −0.797334 0.603538i \(-0.793757\pi\)
−0.654427 + 0.756125i \(0.727090\pi\)
\(380\) −23.1875 + 10.3237i −1.18949 + 0.529597i
\(381\) −0.326753 + 3.10885i −0.0167401 + 0.159271i
\(382\) 14.8140 4.81336i 0.757950 0.246273i
\(383\) 8.00661 17.9831i 0.409118 0.918895i −0.585044 0.811002i \(-0.698923\pi\)
0.994162 0.107894i \(-0.0344106\pi\)
\(384\) 12.3347 + 11.1062i 0.629455 + 0.566763i
\(385\) −13.3484 4.33716i −0.680297 0.221042i
\(386\) −1.76153 + 16.7598i −0.0896593 + 0.853051i
\(387\) 4.25690 + 4.72777i 0.216390 + 0.240326i
\(388\) −5.79283 + 5.21589i −0.294086 + 0.264797i
\(389\) 17.6877 + 12.8509i 0.896803 + 0.651566i 0.937643 0.347600i \(-0.113003\pi\)
−0.0408396 + 0.999166i \(0.513003\pi\)
\(390\) −22.6332 + 16.0252i −1.14607 + 0.811469i
\(391\) 8.83576 + 27.1937i 0.446844 + 1.37524i
\(392\) 32.3859 3.40389i 1.63573 0.171923i
\(393\) 9.70169 + 2.06216i 0.489386 + 0.104022i
\(394\) −1.45332 + 13.8274i −0.0732170 + 0.696613i
\(395\) 9.35907 12.8817i 0.470906 0.648146i
\(396\) −0.387532 + 0.870412i −0.0194742 + 0.0437399i
\(397\) −24.5241 + 14.1590i −1.23083 + 0.710621i −0.967203 0.254004i \(-0.918252\pi\)
−0.263628 + 0.964624i \(0.584919\pi\)
\(398\) 1.92884i 0.0966841i
\(399\) 50.1101 + 22.3104i 2.50864 + 1.11692i
\(400\) 17.7892 + 19.7569i 0.889461 + 0.987846i
\(401\) −5.07594 + 23.8804i −0.253481 + 1.19253i 0.648656 + 0.761082i \(0.275331\pi\)
−0.902137 + 0.431451i \(0.858002\pi\)
\(402\) −9.73910 −0.485742
\(403\) −19.9666 2.08178i −0.994609 0.103701i
\(404\) 7.26708 0.361551
\(405\) 3.00792 14.1511i 0.149465 0.703176i
\(406\) −25.5184 28.3410i −1.26645 1.40654i
\(407\) −0.462272 0.205817i −0.0229140 0.0102020i
\(408\) 12.7540i 0.631419i
\(409\) 1.21839 0.703438i 0.0602455 0.0347828i −0.469575 0.882893i \(-0.655593\pi\)
0.529820 + 0.848110i \(0.322259\pi\)
\(410\) 0.701835 1.57635i 0.0346612 0.0778503i
\(411\) −13.8591 + 19.0755i −0.683621 + 0.940924i
\(412\) −0.855881 + 8.14316i −0.0421662 + 0.401185i
\(413\) 22.3247 + 4.74527i 1.09853 + 0.233499i
\(414\) −10.0318 + 1.05439i −0.493038 + 0.0518204i
\(415\) −4.53550 13.9588i −0.222639 0.685213i
\(416\) 10.9483 + 15.4627i 0.536782 + 0.758122i
\(417\) 9.83411 + 7.14490i 0.481579 + 0.349887i
\(418\) −8.61605 + 7.75792i −0.421425 + 0.379452i
\(419\) 13.0149 + 14.4545i 0.635821 + 0.706150i 0.971823 0.235711i \(-0.0757418\pi\)
−0.336003 + 0.941861i \(0.609075\pi\)
\(420\) −2.39437 + 22.7809i −0.116833 + 1.11159i
\(421\) 3.36003 + 1.09174i 0.163758 + 0.0532082i 0.389749 0.920921i \(-0.372562\pi\)
−0.225991 + 0.974129i \(0.572562\pi\)
\(422\) −0.958596 0.863124i −0.0466637 0.0420162i
\(423\) 1.73686 3.90106i 0.0844491 0.189676i
\(424\) −8.24640 + 2.67942i −0.400481 + 0.130124i
\(425\) −3.00114 + 28.5540i −0.145577 + 1.38507i
\(426\) 19.1466 8.52460i 0.927654 0.413018i
\(427\) 54.1366 5.68998i 2.61985 0.275357i
\(428\) 0.868448 0.0419780
\(429\) −2.54623 + 3.41604i −0.122933 + 0.164928i
\(430\) −26.1542 + 19.0021i −1.26127 + 0.916364i
\(431\) 24.8898 22.4109i 1.19890 1.07949i 0.203962 0.978979i \(-0.434618\pi\)
0.994936 0.100514i \(-0.0320487\pi\)
\(432\) −27.6402 5.87511i −1.32984 0.282666i
\(433\) −13.3885 23.1896i −0.643411 1.11442i −0.984666 0.174449i \(-0.944186\pi\)
0.341256 0.939971i \(-0.389148\pi\)
\(434\) −36.2038 + 33.4636i −1.73784 + 1.60630i
\(435\) −16.5262 + 9.54138i −0.792369 + 0.457474i
\(436\) 0.254951 + 0.229559i 0.0122099 + 0.0109939i
\(437\) −39.2635 12.7575i −1.87823 0.610273i
\(438\) −20.9692 9.33608i −1.00195 0.446095i
\(439\) −9.17104 + 15.8847i −0.437710 + 0.758136i −0.997512 0.0704904i \(-0.977544\pi\)
0.559803 + 0.828626i \(0.310877\pi\)
\(440\) 4.08063 + 2.35595i 0.194537 + 0.112316i
\(441\) −16.8819 + 12.2654i −0.803899 + 0.584067i
\(442\) −7.43001 + 32.9698i −0.353409 + 1.56821i
\(443\) −6.14192 4.46236i −0.291811 0.212013i 0.432242 0.901758i \(-0.357723\pi\)
−0.724053 + 0.689745i \(0.757723\pi\)
\(444\) −0.171704 + 0.807803i −0.00814870 + 0.0383366i
\(445\) 1.12947 + 10.7462i 0.0535418 + 0.509417i
\(446\) 3.47482 3.85918i 0.164538 0.182737i
\(447\) −25.6735 8.34184i −1.21432 0.394556i
\(448\) −4.45167 0.467889i −0.210322 0.0221057i
\(449\) 7.52101 + 35.3836i 0.354938 + 1.66985i 0.687047 + 0.726613i \(0.258907\pi\)
−0.332108 + 0.943241i \(0.607760\pi\)
\(450\) −9.63304 3.12997i −0.454106 0.147548i
\(451\) 0.0277104 0.263647i 0.00130483 0.0124147i
\(452\) 0.292176 + 0.324494i 0.0137428 + 0.0152629i
\(453\) 4.01915 18.9086i 0.188836 0.888404i
\(454\) 18.3058 13.2999i 0.859132 0.624196i
\(455\) 18.9392 55.9538i 0.887884 2.62315i
\(456\) −14.8980 10.8240i −0.697661 0.506880i
\(457\) −2.59409 5.82642i −0.121346 0.272548i 0.842651 0.538460i \(-0.180994\pi\)
−0.963997 + 0.265912i \(0.914327\pi\)
\(458\) 0.232729 + 2.21427i 0.0108747 + 0.103466i
\(459\) −15.2585 26.4286i −0.712208 1.23358i
\(460\) 17.2403i 0.803832i
\(461\) −1.84347 + 4.14050i −0.0858588 + 0.192842i −0.951372 0.308044i \(-0.900326\pi\)
0.865513 + 0.500886i \(0.166992\pi\)
\(462\) 2.17543 + 10.2346i 0.101210 + 0.476157i
\(463\) −10.4396 + 3.39204i −0.485170 + 0.157641i −0.541381 0.840778i \(-0.682098\pi\)
0.0562106 + 0.998419i \(0.482098\pi\)
\(464\) 10.7670 + 18.6491i 0.499847 + 0.865761i
\(465\) 12.6121 + 21.2011i 0.584874 + 0.983179i
\(466\) −15.3193 8.84458i −0.709651 0.409717i
\(467\) 7.41394 + 22.8178i 0.343076 + 1.05588i 0.962606 + 0.270906i \(0.0873234\pi\)
−0.619530 + 0.784973i \(0.712677\pi\)
\(468\) −3.64321 1.67568i −0.168407 0.0774584i
\(469\) 16.7833 12.1938i 0.774980 0.563056i
\(470\) 18.7925 + 10.8498i 0.866832 + 0.500466i
\(471\) 5.28165 9.14809i 0.243366 0.421522i
\(472\) −6.99981 3.11652i −0.322193 0.143449i
\(473\) −2.91937 + 4.01817i −0.134233 + 0.184756i
\(474\) −11.8052 1.24077i −0.542229 0.0569906i
\(475\) −30.8068 27.7386i −1.41351 1.27273i
\(476\) 16.4084 + 22.5842i 0.752077 + 1.03515i
\(477\) 3.71784 4.12908i 0.170228 0.189058i
\(478\) 33.6580 + 37.3810i 1.53948 + 1.70977i
\(479\) 3.95870 + 8.89138i 0.180877 + 0.406257i 0.981115 0.193426i \(-0.0619599\pi\)
−0.800237 + 0.599683i \(0.795293\pi\)
\(480\) 7.19453 22.1425i 0.328384 1.01066i
\(481\) 0.889947 1.93489i 0.0405781 0.0882235i
\(482\) −31.9176 23.1895i −1.45381 1.05625i
\(483\) −27.6878 + 24.9302i −1.25984 + 1.13436i
\(484\) 10.1782 + 2.16344i 0.462645 + 0.0983382i
\(485\) −22.5669 10.0474i −1.02471 0.456230i
\(486\) 17.7358 5.76270i 0.804511 0.261401i
\(487\) 22.9509 + 2.41223i 1.04000 + 0.109309i 0.609103 0.793091i \(-0.291530\pi\)
0.430900 + 0.902400i \(0.358196\pi\)
\(488\) −18.1746 1.91023i −0.822726 0.0864719i
\(489\) 16.7862 + 23.1042i 0.759099 + 1.04481i
\(490\) −53.0193 91.8322i −2.39517 4.14856i
\(491\) 12.8863 22.3197i 0.581550 1.00727i −0.413746 0.910392i \(-0.635780\pi\)
0.995296 0.0968818i \(-0.0308869\pi\)
\(492\) −0.430285 + 0.0452248i −0.0193988 + 0.00203889i
\(493\) −7.18646 + 22.1176i −0.323662 + 0.996129i
\(494\) −32.2063 36.6595i −1.44903 1.64939i
\(495\) −3.01939 −0.135711
\(496\) 23.9246 14.2323i 1.07425 0.639048i
\(497\) −22.3219 + 38.6627i −1.00127 + 1.73426i
\(498\) −7.32147 + 8.13131i −0.328083 + 0.364373i
\(499\) 8.73739 + 2.83895i 0.391139 + 0.127089i 0.497983 0.867187i \(-0.334074\pi\)
−0.106843 + 0.994276i \(0.534074\pi\)
\(500\) 0.420185 0.943750i 0.0187912 0.0422058i
\(501\) 8.68481 5.01418i 0.388009 0.224017i
\(502\) 24.0594i 1.07383i
\(503\) 35.7073 + 15.8979i 1.59211 + 0.708853i 0.995596 0.0937493i \(-0.0298852\pi\)
0.596514 + 0.802602i \(0.296552\pi\)
\(504\) 8.75555 3.89822i 0.390003 0.173641i
\(505\) 9.36692 + 21.0384i 0.416822 + 0.936199i
\(506\) −2.43353 7.48964i −0.108184 0.332955i
\(507\) −14.2455 10.8914i −0.632664 0.483705i
\(508\) −0.709809 2.18457i −0.0314927 0.0969245i
\(509\) 13.3935 12.0595i 0.593655 0.534530i −0.316610 0.948556i \(-0.602545\pi\)
0.910265 + 0.414026i \(0.135878\pi\)
\(510\) 37.9403 16.8921i 1.68002 0.747995i
\(511\) 47.8251 10.1655i 2.11566 0.449697i
\(512\) −8.70169 2.82735i −0.384564 0.124952i
\(513\) 43.8206 + 4.60573i 1.93473 + 0.203348i
\(514\) −2.29859 10.8140i −0.101387 0.476986i
\(515\) −24.6779 + 8.01835i −1.08744 + 0.353331i
\(516\) 7.40516 + 3.29699i 0.325994 + 0.145142i
\(517\) 3.26095 + 0.693137i 0.143417 + 0.0304841i
\(518\) −2.12735 4.77810i −0.0934703 0.209938i
\(519\) −15.2096 11.0504i −0.667628 0.485060i
\(520\) −10.1248 + 17.0522i −0.444003 + 0.747790i
\(521\) 41.9410 1.83747 0.918733 0.394879i \(-0.129213\pi\)
0.918733 + 0.394879i \(0.129213\pi\)
\(522\) −7.10507 4.10211i −0.310980 0.179545i
\(523\) 1.35679 + 12.9090i 0.0593281 + 0.564469i 0.983298 + 0.182004i \(0.0582583\pi\)
−0.923970 + 0.382466i \(0.875075\pi\)
\(524\) −7.12888 + 1.51529i −0.311427 + 0.0661957i
\(525\) −35.5805 + 11.5608i −1.55286 + 0.504555i
\(526\) 27.0163 15.5979i 1.17797 0.680099i
\(527\) 28.7110 + 8.91631i 1.25067 + 0.388401i
\(528\) 5.90815i 0.257119i
\(529\) 3.37348 3.74663i 0.146673 0.162897i
\(530\) 18.8926 + 20.9824i 0.820643 + 0.911416i
\(531\) 4.88306 0.513231i 0.211907 0.0222723i
\(532\) −40.3059 −1.74748
\(533\) 1.10814 + 0.130174i 0.0479987 + 0.00563847i
\(534\) 6.51689 4.73480i 0.282013 0.204895i
\(535\) 1.11939 + 2.51419i 0.0483954 + 0.108698i
\(536\) −6.36244 + 2.83274i −0.274816 + 0.122356i
\(537\) −19.7635 + 21.9496i −0.852858 + 0.947195i
\(538\) −15.6492 21.5393i −0.674684 0.928623i
\(539\) −12.1067 10.9009i −0.521471 0.469535i
\(540\) 3.82564 + 17.9982i 0.164630 + 0.774521i
\(541\) 2.81453 3.87386i 0.121006 0.166550i −0.744217 0.667938i \(-0.767177\pi\)
0.865223 + 0.501388i \(0.167177\pi\)
\(542\) −0.406652 + 0.0864365i −0.0174672 + 0.00371277i
\(543\) −7.85303 8.72167i −0.337006 0.374283i
\(544\) −11.5405 25.9204i −0.494795 1.11133i
\(545\) −0.335962 + 1.03398i −0.0143910 + 0.0442910i
\(546\) −43.1842 + 8.62913i −1.84811 + 0.369292i
\(547\) 28.1346 20.4410i 1.20295 0.873994i 0.208378 0.978048i \(-0.433182\pi\)
0.994572 + 0.104054i \(0.0331815\pi\)
\(548\) 3.60222 16.9471i 0.153879 0.723945i
\(549\) 10.6980 4.76305i 0.456579 0.203282i
\(550\) 0.826570 7.86429i 0.0352451 0.335335i
\(551\) −19.7366 27.1651i −0.840808 1.15727i
\(552\) 10.8323 6.25402i 0.461052 0.266189i
\(553\) 21.8972 12.6424i 0.931164 0.537608i
\(554\) 15.6460 + 21.5348i 0.664733 + 0.914927i
\(555\) −2.55994 + 0.544131i −0.108663 + 0.0230971i
\(556\) −8.73687 1.85708i −0.370526 0.0787577i
\(557\) −13.6852 7.90115i −0.579860 0.334783i 0.181218 0.983443i \(-0.441996\pi\)
−0.761078 + 0.648660i \(0.775330\pi\)
\(558\) −5.18264 + 9.25336i −0.219399 + 0.391726i
\(559\) −16.7604 12.4928i −0.708889 0.528388i
\(560\) 25.3132 + 77.9061i 1.06968 + 3.29213i
\(561\) 4.74167 4.26942i 0.200193 0.180255i
\(562\) 2.20118 + 20.9429i 0.0928514 + 0.883422i
\(563\) 4.97915 + 8.62415i 0.209846 + 0.363465i 0.951666 0.307135i \(-0.0993703\pi\)
−0.741820 + 0.670599i \(0.766037\pi\)
\(564\) 5.44093i 0.229105i
\(565\) −0.562821 + 1.26412i −0.0236780 + 0.0531818i
\(566\) 39.8709 + 4.19060i 1.67590 + 0.176144i
\(567\) 13.5036 18.5861i 0.567099 0.780544i
\(568\) 10.0287 11.1380i 0.420797 0.467342i
\(569\) −2.32533 22.1241i −0.0974831 0.927489i −0.928523 0.371276i \(-0.878920\pi\)
0.831039 0.556213i \(-0.187746\pi\)
\(570\) −12.4673 + 58.6538i −0.522196 + 2.45674i
\(571\) −13.8484 + 42.6209i −0.579536 + 1.78363i 0.0406504 + 0.999173i \(0.487057\pi\)
−0.620186 + 0.784455i \(0.712943\pi\)
\(572\) 0.688270 3.05412i 0.0287780 0.127699i
\(573\) 3.82465 11.7711i 0.159777 0.491744i
\(574\) 2.03629 1.83348i 0.0849932 0.0765282i
\(575\) 25.7231 11.4527i 1.07273 0.477609i
\(576\) −0.941909 + 0.200209i −0.0392462 + 0.00834204i
\(577\) 28.1734 9.15410i 1.17288 0.381090i 0.343160 0.939277i \(-0.388503\pi\)
0.829715 + 0.558187i \(0.188503\pi\)
\(578\) 8.58276 19.2772i 0.356996 0.801826i
\(579\) 9.95112 + 8.96003i 0.413554 + 0.372366i
\(580\) 8.24202 11.3442i 0.342231 0.471041i
\(581\) 2.43625 23.1794i 0.101073 0.961643i
\(582\) 1.92495 + 18.3147i 0.0797918 + 0.759168i
\(583\) 3.75663 + 2.16889i 0.155584 + 0.0898263i
\(584\) −16.4144 −0.679234
\(585\) 0.155234 12.7071i 0.00641814 0.525374i
\(586\) −1.36335 + 4.19597i −0.0563196 + 0.173334i
\(587\) 1.12911 5.31203i 0.0466032 0.219251i −0.948683 0.316227i \(-0.897584\pi\)
0.995287 + 0.0969764i \(0.0309171\pi\)
\(588\) −13.2940 + 23.0258i −0.548234 + 0.949569i
\(589\) −34.7813 + 25.9702i −1.43314 + 1.07008i
\(590\) 24.9505i 1.02720i
\(591\) 8.21000 + 7.39232i 0.337714 + 0.304079i
\(592\) 0.614029 + 2.88878i 0.0252364 + 0.118728i
\(593\) 8.53994 + 11.7542i 0.350693 + 0.482688i 0.947526 0.319677i \(-0.103575\pi\)
−0.596833 + 0.802365i \(0.703575\pi\)
\(594\) 4.20249 + 7.27892i 0.172430 + 0.298658i
\(595\) −44.2325 + 76.6129i −1.81335 + 3.14082i
\(596\) 19.7273 2.07342i 0.808062 0.0849307i
\(597\) −1.23993 0.900864i −0.0507471 0.0368699i
\(598\) 31.6453 9.85646i 1.29407 0.403061i
\(599\) −3.04390 9.36815i −0.124370 0.382772i 0.869416 0.494081i \(-0.164496\pi\)
−0.993786 + 0.111309i \(0.964496\pi\)
\(600\) 12.4909 1.31285i 0.509939 0.0535968i
\(601\) 0.584896 + 0.124323i 0.0238584 + 0.00507126i 0.219825 0.975539i \(-0.429451\pi\)
−0.195967 + 0.980610i \(0.562785\pi\)
\(602\) −50.2149 + 10.6735i −2.04661 + 0.435020i
\(603\) 2.62321 3.61055i 0.106826 0.147033i
\(604\) 2.95330 + 13.8942i 0.120168 + 0.565346i
\(605\) 6.85597 + 32.2548i 0.278735 + 1.31134i
\(606\) 10.0913 13.8895i 0.409930 0.564220i
\(607\) −29.6496 + 6.30221i −1.20344 + 0.255799i −0.765637 0.643273i \(-0.777576\pi\)
−0.437802 + 0.899071i \(0.644243\pi\)
\(608\) 40.0716 + 8.51749i 1.62512 + 0.345430i
\(609\) −30.1370 + 3.16753i −1.22121 + 0.128355i
\(610\) 18.3889 + 56.5952i 0.744545 + 2.29147i
\(611\) −3.08472 + 13.6881i −0.124794 + 0.553761i
\(612\) 4.85848 + 3.52990i 0.196393 + 0.142688i
\(613\) 10.6682 1.12127i 0.430883 0.0452876i 0.113395 0.993550i \(-0.463827\pi\)
0.317488 + 0.948262i \(0.397161\pi\)
\(614\) 10.1941 17.6568i 0.411402 0.712569i
\(615\) −0.685545 1.18740i −0.0276438 0.0478805i
\(616\) 4.39805 + 6.05340i 0.177202 + 0.243898i
\(617\) −1.81199 8.52476i −0.0729481 0.343194i 0.926504 0.376284i \(-0.122798\pi\)
−0.999452 + 0.0330903i \(0.989465\pi\)
\(618\) 14.3754 + 12.9437i 0.578263 + 0.520671i
\(619\) 11.3815i 0.457462i −0.973490 0.228731i \(-0.926542\pi\)
0.973490 0.228731i \(-0.0734577\pi\)
\(620\) −14.8027 10.4625i −0.594492 0.420183i
\(621\) −14.9642 + 25.9188i −0.600494 + 1.04009i
\(622\) 10.6778 50.2351i 0.428141 2.01424i
\(623\) −5.30232 + 16.3188i −0.212433 + 0.653801i
\(624\) 24.8645 + 0.303753i 0.995375 + 0.0121598i
\(625\) −23.3128 −0.932511
\(626\) 14.7830 + 8.53495i 0.590846 + 0.341125i
\(627\) 0.962971 + 9.16206i 0.0384574 + 0.365897i
\(628\) −0.811350 + 7.71948i −0.0323764 + 0.308041i
\(629\) −1.87471 + 2.58032i −0.0747497 + 0.102884i
\(630\) −23.1926 20.8827i −0.924016 0.831988i
\(631\) 6.05847 13.6075i 0.241184 0.541708i −0.751878 0.659302i \(-0.770852\pi\)
0.993062 + 0.117595i \(0.0375184\pi\)
\(632\) −8.07307 + 2.62310i −0.321130 + 0.104341i
\(633\) −1.00256 + 0.213101i −0.0398482 + 0.00847000i
\(634\) −24.7890 + 11.0368i −0.984498 + 0.438327i
\(635\) 5.40949 4.87073i 0.214669 0.193289i
\(636\) 2.18768 6.73299i 0.0867471 0.266980i
\(637\) 46.4989 50.3905i 1.84235 1.99654i
\(638\) 1.97928 6.09161i 0.0783606 0.241169i
\(639\) −1.99681 + 9.39424i −0.0789925 + 0.371630i
\(640\) −4.04007 38.4387i −0.159698 1.51942i
\(641\) 16.6042 18.4408i 0.655825 0.728368i −0.319879 0.947458i \(-0.603642\pi\)
0.975704 + 0.219091i \(0.0703091\pi\)
\(642\) 1.20595 1.65985i 0.0475952 0.0655091i
\(643\) 42.3070 + 4.44665i 1.66843 + 0.175359i 0.891121 0.453765i \(-0.149920\pi\)
0.777305 + 0.629124i \(0.216586\pi\)
\(644\) 11.1353 25.0103i 0.438792 0.985543i
\(645\) 25.6879i 1.01146i
\(646\) 36.5387 + 63.2869i 1.43760 + 2.48999i
\(647\) −3.78385 36.0010i −0.148759 1.41534i −0.773146 0.634229i \(-0.781318\pi\)
0.624387 0.781115i \(-0.285349\pi\)
\(648\) −5.73164 + 5.16080i −0.225160 + 0.202735i
\(649\) 1.18454 + 3.64563i 0.0464971 + 0.143103i
\(650\) 33.0544 + 3.88295i 1.29650 + 0.152302i
\(651\) 4.60274 + 38.9023i 0.180396 + 1.52470i
\(652\) −18.1735 10.4925i −0.711729 0.410917i
\(653\) −6.77747 1.44060i −0.265223 0.0563749i 0.0733806 0.997304i \(-0.476621\pi\)
−0.338604 + 0.940929i \(0.609955\pi\)
\(654\) 0.792786 0.168512i 0.0310004 0.00658933i
\(655\) −13.5756 18.6852i −0.530443 0.730092i
\(656\) −1.33993 + 0.773608i −0.0523154 + 0.0302043i
\(657\) 9.10916 5.25918i 0.355382 0.205180i
\(658\) 20.2543 + 27.8776i 0.789593 + 1.08678i
\(659\) −0.0324731 + 0.308960i −0.00126497 + 0.0120354i −0.995136 0.0985089i \(-0.968593\pi\)
0.993871 + 0.110544i \(0.0352594\pi\)
\(660\) −3.51455 + 1.56478i −0.136804 + 0.0609090i
\(661\) −6.01292 + 28.2886i −0.233875 + 1.10030i 0.691832 + 0.722058i \(0.256804\pi\)
−0.925708 + 0.378239i \(0.876530\pi\)
\(662\) 5.19147 3.77183i 0.201772 0.146596i
\(663\) 17.7241 + 20.1748i 0.688346 + 0.783525i
\(664\) −2.41793 + 7.44163i −0.0938340 + 0.288791i
\(665\) −51.9524 116.687i −2.01463 4.52493i
\(666\) −0.752891 0.836170i −0.0291739 0.0324009i
\(667\) 22.3089 4.74190i 0.863804 0.183607i
\(668\) −4.33134 + 5.96158i −0.167585 + 0.230660i
\(669\) −0.857916 4.03618i −0.0331689 0.156048i
\(670\) 16.8535 + 15.1749i 0.651107 + 0.586259i
\(671\) 5.37377 + 7.39636i 0.207452 + 0.285533i
\(672\) 24.7386 27.4750i 0.954314 1.05987i
\(673\) −43.6828 + 19.4488i −1.68385 + 0.749698i −0.684055 + 0.729431i \(0.739785\pi\)
−0.999795 + 0.0202672i \(0.993548\pi\)
\(674\) 20.3708 + 45.7536i 0.784654 + 1.76236i
\(675\) −24.3127 + 17.6642i −0.935795 + 0.679895i
\(676\) 12.8179 + 3.05361i 0.492995 + 0.117446i
\(677\) −36.7819 −1.41364 −0.706821 0.707392i \(-0.749872\pi\)
−0.706821 + 0.707392i \(0.749872\pi\)
\(678\) 1.02592 0.107829i 0.0394004 0.00414115i
\(679\) −26.2480 29.1514i −1.00731 1.11873i
\(680\) 19.8727 22.0708i 0.762082 0.846378i
\(681\) 17.9794i 0.688970i
\(682\) −7.90753 2.45572i −0.302795 0.0940343i
\(683\) 27.5297 15.8943i 1.05339 0.608177i 0.129796 0.991541i \(-0.458568\pi\)
0.923597 + 0.383364i \(0.125234\pi\)
\(684\) −8.24652 + 2.67946i −0.315314 + 0.102452i
\(685\) 53.7056 11.4155i 2.05199 0.436163i
\(686\) −11.1223 105.822i −0.424653 4.04030i
\(687\) 1.53211 + 0.884567i 0.0584538 + 0.0337483i
\(688\) 28.9876 1.10514
\(689\) −9.32093 + 15.6983i −0.355099 + 0.598057i
\(690\) −32.9511 23.9404i −1.25443 0.911394i
\(691\) −12.9396 29.0628i −0.492245 1.10560i −0.973431 0.228981i \(-0.926461\pi\)
0.481186 0.876618i \(-0.340206\pi\)
\(692\) 13.5126 + 2.87219i 0.513671 + 0.109184i
\(693\) −4.38019 1.95019i −0.166390 0.0740815i
\(694\) 40.7189 13.2304i 1.54567 0.502218i
\(695\) −5.88510 27.6872i −0.223235 1.05024i
\(696\) 10.1175 + 1.06340i 0.383504 + 0.0403079i
\(697\) −1.58915 0.516345i −0.0601932 0.0195579i
\(698\) 28.3207 6.01975i 1.07195 0.227851i
\(699\) −12.8405 + 5.71695i −0.485672 + 0.216235i
\(700\) 20.4293 18.3946i 0.772153 0.695250i
\(701\) −10.4010 32.0110i −0.392841 1.20904i −0.930631 0.365960i \(-0.880741\pi\)
0.537790 0.843079i \(-0.319259\pi\)
\(702\) −30.8494 + 17.3119i −1.16434 + 0.653397i
\(703\) −1.42305 4.37969i −0.0536713 0.165183i
\(704\) −0.305778 0.686788i −0.0115244 0.0258843i
\(705\) 15.7517 7.01311i 0.593243 0.264129i
\(706\) −6.58527 2.93195i −0.247840 0.110345i
\(707\) 36.5703i 1.37537i
\(708\) 5.41789 3.12802i 0.203617 0.117558i
\(709\) −1.20138 + 2.69833i −0.0451186 + 0.101338i −0.934699 0.355442i \(-0.884331\pi\)
0.889580 + 0.456780i \(0.150997\pi\)
\(710\) −46.4157 15.0814i −1.74195 0.565994i
\(711\) 3.63970 4.04229i 0.136499 0.151598i
\(712\) 2.88023 4.98871i 0.107941 0.186960i
\(713\) −6.50577 28.7570i −0.243643 1.07696i
\(714\) 65.9500 2.46812
\(715\) 9.72892 1.94405i 0.363841 0.0727032i
\(716\) 6.70670 20.6411i 0.250641 0.771394i
\(717\) 39.7499 4.17788i 1.48449 0.156026i
\(718\) −6.05286 + 10.4839i −0.225891 + 0.391254i
\(719\) 20.1251 + 34.8577i 0.750541 + 1.29997i 0.947561 + 0.319575i \(0.103540\pi\)
−0.197020 + 0.980399i \(0.563126\pi\)
\(720\) 10.3581 + 14.2567i 0.386023 + 0.531315i
\(721\) −40.9790 4.30707i −1.52614 0.160404i
\(722\) −72.1319 7.58137i −2.68447 0.282149i
\(723\) −29.8142 + 9.68723i −1.10880 + 0.360272i
\(724\) 7.87826 + 3.50763i 0.292793 + 0.130360i
\(725\) 22.4011 + 4.76150i 0.831955 + 0.176837i
\(726\) 18.2687 16.4492i 0.678014 0.610487i
\(727\) 26.0839 + 18.9510i 0.967398 + 0.702855i 0.954857 0.297066i \(-0.0960081\pi\)
0.0125406 + 0.999921i \(0.496008\pi\)
\(728\) −25.7018 + 18.1980i −0.952574 + 0.674462i
\(729\) 8.75448 26.9435i 0.324240 0.997909i
\(730\) 21.7401 + 48.8291i 0.804639 + 1.80725i
\(731\) 20.9474 + 23.2644i 0.774767 + 0.860466i
\(732\) 9.98400 11.0884i 0.369019 0.409837i
\(733\) 4.43798 + 6.10836i 0.163921 + 0.225617i 0.883074 0.469234i \(-0.155470\pi\)
−0.719153 + 0.694852i \(0.755470\pi\)
\(734\) −20.3578 18.3303i −0.751421 0.676582i
\(735\) −83.7959 8.80730i −3.09086 0.324862i
\(736\) −16.3558 + 22.5118i −0.602882 + 0.829796i
\(737\) 3.18298 + 1.41715i 0.117246 + 0.0522015i
\(738\) 0.294735 0.510497i 0.0108494 0.0187916i
\(739\) −7.76954 4.48574i −0.285807 0.165011i 0.350242 0.936659i \(-0.386099\pi\)
−0.636049 + 0.771648i \(0.719433\pi\)
\(740\) 1.55581 1.13036i 0.0571927 0.0415529i
\(741\) −38.6081 + 3.58162i −1.41830 + 0.131574i
\(742\) 13.8550 + 42.6414i 0.508635 + 1.56542i
\(743\) 10.1116 + 5.83794i 0.370959 + 0.214173i 0.673877 0.738843i \(-0.264628\pi\)
−0.302918 + 0.953017i \(0.597961\pi\)
\(744\) 1.20391 13.0961i 0.0441376 0.480125i
\(745\) 31.4302 + 54.4387i 1.15151 + 1.99448i
\(746\) 45.7201 14.8554i 1.67393 0.543894i
\(747\) −1.04247 4.90442i −0.0381419 0.179443i
\(748\) −1.90697 + 4.28313i −0.0697258 + 0.156607i
\(749\) 4.37031i 0.159688i
\(750\) −1.22029 2.11361i −0.0445589 0.0771782i
\(751\) 1.88074 + 17.8940i 0.0686290 + 0.652962i 0.973721 + 0.227745i \(0.0731354\pi\)
−0.905092 + 0.425216i \(0.860198\pi\)
\(752\) −7.91399 17.7751i −0.288594 0.648192i
\(753\) −15.4663 11.2369i −0.563624 0.409497i
\(754\) 25.5348 + 8.64301i 0.929922 + 0.314760i
\(755\) −36.4175 + 26.4589i