Properties

Label 260.2.o.a.183.8
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.8
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.18329 + 0.774482i) q^{2} +(2.05925 - 2.05925i) q^{3} +(0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 + 4.03155i) q^{6} +(0.845670 + 0.845670i) q^{7} +(0.472478 + 2.78869i) q^{8} -5.48103i q^{9} +O(q^{10})\) \(q+(-1.18329 + 0.774482i) q^{2} +(2.05925 - 2.05925i) q^{3} +(0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 + 4.03155i) q^{6} +(0.845670 + 0.845670i) q^{7} +(0.472478 + 2.78869i) q^{8} -5.48103i q^{9} +(-0.211491 + 3.15520i) q^{10} +4.19592i q^{11} +(-2.12622 - 5.42248i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(-1.65563 - 0.345717i) q^{14} +(-0.901767 - 6.44918i) q^{15} +(-2.71887 - 2.93390i) q^{16} +(-0.206069 + 0.206069i) q^{17} +(4.24496 + 6.48565i) q^{18} -4.84005 q^{19} +(-2.19339 - 3.89731i) q^{20} +3.48290 q^{21} +(-3.24967 - 4.96499i) q^{22} +(0.389358 - 0.389358i) q^{23} +(6.71555 + 4.76965i) q^{24} +(-1.37145 - 4.80823i) q^{25} +(1.38435 + 0.289071i) q^{26} +(-5.10906 - 5.10906i) q^{27} +(2.22684 - 0.873173i) q^{28} +6.55621i q^{29} +(6.06183 + 6.93286i) q^{30} +5.06902i q^{31} +(5.48946 + 1.36594i) q^{32} +(8.64045 + 8.64045i) q^{33} +(0.0842426 - 0.403436i) q^{34} +(2.64848 - 0.370328i) q^{35} +(-10.0460 - 4.38677i) q^{36} +(8.49149 - 8.49149i) q^{37} +(5.72719 - 3.74853i) q^{38} -2.91222 q^{39} +(5.61382 + 2.91291i) q^{40} -5.61170 q^{41} +(-4.12128 + 2.69744i) q^{42} +(-3.25094 + 3.25094i) q^{43} +(7.69060 + 3.35822i) q^{44} +(-9.78287 - 7.38267i) q^{45} +(-0.159173 + 0.762274i) q^{46} +(8.91159 + 8.91159i) q^{47} +(-11.6405 - 0.442809i) q^{48} -5.56968i q^{49} +(5.34672 + 4.62738i) q^{50} +0.848694i q^{51} +(-1.86197 + 0.730103i) q^{52} +(0.0714058 + 0.0714058i) q^{53} +(10.0024 + 2.08863i) q^{54} +(7.48913 + 5.65169i) q^{55} +(-1.95875 + 2.75787i) q^{56} +(-9.96688 + 9.96688i) q^{57} +(-5.07767 - 7.75790i) q^{58} -10.9539 q^{59} +(-12.5423 - 3.50881i) q^{60} -3.57989 q^{61} +(-3.92586 - 5.99812i) q^{62} +(4.63514 - 4.63514i) q^{63} +(-7.55353 + 2.63518i) q^{64} +(-2.21452 + 0.309649i) q^{65} +(-16.9160 - 3.53229i) q^{66} +(-6.95966 - 6.95966i) q^{67} +(0.212770 + 0.542626i) q^{68} -1.60357i q^{69} +(-2.84711 + 2.48941i) q^{70} +4.61114i q^{71} +(15.2849 - 2.58966i) q^{72} +(2.57559 + 2.57559i) q^{73} +(-3.47140 + 16.6244i) q^{74} +(-12.7255 - 7.07720i) q^{75} +(-3.87376 + 8.87121i) q^{76} +(-3.54836 + 3.54836i) q^{77} +(3.44600 - 2.25546i) q^{78} +2.19111 q^{79} +(-8.89878 + 0.900979i) q^{80} -4.59860 q^{81} +(6.64027 - 4.34616i) q^{82} +(11.1906 - 11.1906i) q^{83} +(2.78755 - 6.38371i) q^{84} +(0.0902396 + 0.645368i) q^{85} +(1.32901 - 6.36460i) q^{86} +(13.5009 + 13.5009i) q^{87} +(-11.7011 + 1.98248i) q^{88} +15.0102i q^{89} +(17.2937 + 1.15919i) q^{90} -1.19596i q^{91} +(-0.402020 - 1.02527i) q^{92} +(10.4384 + 10.4384i) q^{93} +(-17.4469 - 3.64313i) q^{94} +(-6.51931 + 8.63882i) q^{95} +(14.1170 - 8.49136i) q^{96} +(-5.51024 + 5.51024i) q^{97} +(4.31362 + 6.59056i) q^{98} +22.9980 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.18329 + 0.774482i −0.836713 + 0.547642i
\(3\) 2.05925 2.05925i 1.18891 1.18891i 0.211540 0.977369i \(-0.432152\pi\)
0.977369 0.211540i \(-0.0678478\pi\)
\(4\) 0.800354 1.83288i 0.400177 0.916438i
\(5\) 1.34695 1.78486i 0.602374 0.798214i
\(6\) −0.841839 + 4.03155i −0.343679 + 1.64587i
\(7\) 0.845670 + 0.845670i 0.319633 + 0.319633i 0.848626 0.528993i \(-0.177430\pi\)
−0.528993 + 0.848626i \(0.677430\pi\)
\(8\) 0.472478 + 2.78869i 0.167046 + 0.985949i
\(9\) 5.48103i 1.82701i
\(10\) −0.211491 + 3.15520i −0.0668793 + 0.997761i
\(11\) 4.19592i 1.26512i 0.774512 + 0.632559i \(0.217995\pi\)
−0.774512 + 0.632559i \(0.782005\pi\)
\(12\) −2.12622 5.42248i −0.613787 1.56534i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) −1.65563 0.345717i −0.442486 0.0923968i
\(15\) −0.901767 6.44918i −0.232835 1.66517i
\(16\) −2.71887 2.93390i −0.679716 0.733475i
\(17\) −0.206069 + 0.206069i −0.0499790 + 0.0499790i −0.731655 0.681676i \(-0.761252\pi\)
0.681676 + 0.731655i \(0.261252\pi\)
\(18\) 4.24496 + 6.48565i 1.00055 + 1.52868i
\(19\) −4.84005 −1.11038 −0.555192 0.831722i \(-0.687355\pi\)
−0.555192 + 0.831722i \(0.687355\pi\)
\(20\) −2.19339 3.89731i −0.490457 0.871466i
\(21\) 3.48290 0.760030
\(22\) −3.24967 4.96499i −0.692831 1.05854i
\(23\) 0.389358 0.389358i 0.0811867 0.0811867i −0.665347 0.746534i \(-0.731717\pi\)
0.746534 + 0.665347i \(0.231717\pi\)
\(24\) 6.71555 + 4.76965i 1.37081 + 0.973601i
\(25\) −1.37145 4.80823i −0.274290 0.961647i
\(26\) 1.38435 + 0.289071i 0.271494 + 0.0566915i
\(27\) −5.10906 5.10906i −0.983240 0.983240i
\(28\) 2.22684 0.873173i 0.420834 0.165014i
\(29\) 6.55621i 1.21746i 0.793379 + 0.608728i \(0.208320\pi\)
−0.793379 + 0.608728i \(0.791680\pi\)
\(30\) 6.06183 + 6.93286i 1.10673 + 1.26576i
\(31\) 5.06902i 0.910423i 0.890383 + 0.455211i \(0.150436\pi\)
−0.890383 + 0.455211i \(0.849564\pi\)
\(32\) 5.48946 + 1.36594i 0.970409 + 0.241467i
\(33\) 8.64045 + 8.64045i 1.50411 + 1.50411i
\(34\) 0.0842426 0.403436i 0.0144475 0.0691887i
\(35\) 2.64848 0.370328i 0.447675 0.0625968i
\(36\) −10.0460 4.38677i −1.67434 0.731128i
\(37\) 8.49149 8.49149i 1.39599 1.39599i 0.584856 0.811137i \(-0.301151\pi\)
0.811137 0.584856i \(-0.198849\pi\)
\(38\) 5.72719 3.74853i 0.929073 0.608093i
\(39\) −2.91222 −0.466329
\(40\) 5.61382 + 2.91291i 0.887622 + 0.460572i
\(41\) −5.61170 −0.876400 −0.438200 0.898877i \(-0.644384\pi\)
−0.438200 + 0.898877i \(0.644384\pi\)
\(42\) −4.12128 + 2.69744i −0.635927 + 0.416224i
\(43\) −3.25094 + 3.25094i −0.495763 + 0.495763i −0.910116 0.414353i \(-0.864008\pi\)
0.414353 + 0.910116i \(0.364008\pi\)
\(44\) 7.69060 + 3.35822i 1.15940 + 0.506271i
\(45\) −9.78287 7.38267i −1.45834 1.10054i
\(46\) −0.159173 + 0.762274i −0.0234687 + 0.112391i
\(47\) 8.91159 + 8.91159i 1.29989 + 1.29989i 0.928462 + 0.371427i \(0.121131\pi\)
0.371427 + 0.928462i \(0.378869\pi\)
\(48\) −11.6405 0.442809i −1.68016 0.0639140i
\(49\) 5.56968i 0.795669i
\(50\) 5.34672 + 4.62738i 0.756140 + 0.654410i
\(51\) 0.848694i 0.118841i
\(52\) −1.86197 + 0.730103i −0.258209 + 0.101247i
\(53\) 0.0714058 + 0.0714058i 0.00980834 + 0.00980834i 0.711994 0.702186i \(-0.247792\pi\)
−0.702186 + 0.711994i \(0.747792\pi\)
\(54\) 10.0024 + 2.08863i 1.36115 + 0.284226i
\(55\) 7.48913 + 5.65169i 1.00983 + 0.762074i
\(56\) −1.95875 + 2.75787i −0.261749 + 0.368536i
\(57\) −9.96688 + 9.96688i −1.32015 + 1.32015i
\(58\) −5.07767 7.75790i −0.666730 1.01866i
\(59\) −10.9539 −1.42608 −0.713038 0.701125i \(-0.752681\pi\)
−0.713038 + 0.701125i \(0.752681\pi\)
\(60\) −12.5423 3.50881i −1.61920 0.452985i
\(61\) −3.57989 −0.458357 −0.229179 0.973384i \(-0.573604\pi\)
−0.229179 + 0.973384i \(0.573604\pi\)
\(62\) −3.92586 5.99812i −0.498585 0.761762i
\(63\) 4.63514 4.63514i 0.583973 0.583973i
\(64\) −7.55353 + 2.63518i −0.944191 + 0.329398i
\(65\) −2.21452 + 0.309649i −0.274678 + 0.0384073i
\(66\) −16.9160 3.53229i −2.08222 0.434795i
\(67\) −6.95966 6.95966i −0.850258 0.850258i 0.139907 0.990165i \(-0.455320\pi\)
−0.990165 + 0.139907i \(0.955320\pi\)
\(68\) 0.212770 + 0.542626i 0.0258022 + 0.0658031i
\(69\) 1.60357i 0.193047i
\(70\) −2.84711 + 2.48941i −0.340295 + 0.297541i
\(71\) 4.61114i 0.547241i 0.961838 + 0.273621i \(0.0882213\pi\)
−0.961838 + 0.273621i \(0.911779\pi\)
\(72\) 15.2849 2.58966i 1.80134 0.305195i
\(73\) 2.57559 + 2.57559i 0.301450 + 0.301450i 0.841581 0.540131i \(-0.181625\pi\)
−0.540131 + 0.841581i \(0.681625\pi\)
\(74\) −3.47140 + 16.6244i −0.403541 + 1.93255i
\(75\) −12.7255 7.07720i −1.46942 0.817205i
\(76\) −3.87376 + 8.87121i −0.444350 + 1.01760i
\(77\) −3.54836 + 3.54836i −0.404374 + 0.404374i
\(78\) 3.44600 2.25546i 0.390183 0.255381i
\(79\) 2.19111 0.246519 0.123259 0.992374i \(-0.460665\pi\)
0.123259 + 0.992374i \(0.460665\pi\)
\(80\) −8.89878 + 0.900979i −0.994914 + 0.100732i
\(81\) −4.59860 −0.510955
\(82\) 6.64027 4.34616i 0.733295 0.479953i
\(83\) 11.1906 11.1906i 1.22832 1.22832i 0.263725 0.964598i \(-0.415049\pi\)
0.964598 0.263725i \(-0.0849512\pi\)
\(84\) 2.78755 6.38371i 0.304147 0.696520i
\(85\) 0.0902396 + 0.645368i 0.00978785 + 0.0700000i
\(86\) 1.32901 6.36460i 0.143311 0.686312i
\(87\) 13.5009 + 13.5009i 1.44745 + 1.44745i
\(88\) −11.7011 + 1.98248i −1.24734 + 0.211333i
\(89\) 15.0102i 1.59108i 0.605902 + 0.795540i \(0.292812\pi\)
−0.605902 + 0.795540i \(0.707188\pi\)
\(90\) 17.2937 + 1.15919i 1.82292 + 0.122189i
\(91\) 1.19596i 0.125371i
\(92\) −0.402020 1.02527i −0.0419135 0.106892i
\(93\) 10.4384 + 10.4384i 1.08241 + 1.08241i
\(94\) −17.4469 3.64313i −1.79951 0.375761i
\(95\) −6.51931 + 8.63882i −0.668867 + 0.886324i
\(96\) 14.1170 8.49136i 1.44081 0.866646i
\(97\) −5.51024 + 5.51024i −0.559480 + 0.559480i −0.929159 0.369680i \(-0.879467\pi\)
0.369680 + 0.929159i \(0.379467\pi\)
\(98\) 4.31362 + 6.59056i 0.435742 + 0.665747i
\(99\) 22.9980 2.31138
\(100\) −9.91054 1.33459i −0.991054 0.133459i
\(101\) 6.35464 0.632310 0.316155 0.948708i \(-0.397608\pi\)
0.316155 + 0.948708i \(0.397608\pi\)
\(102\) −0.657299 1.00425i −0.0650823 0.0994358i
\(103\) 2.93721 2.93721i 0.289412 0.289412i −0.547436 0.836848i \(-0.684396\pi\)
0.836848 + 0.547436i \(0.184396\pi\)
\(104\) 1.63781 2.30599i 0.160600 0.226121i
\(105\) 4.69129 6.21648i 0.457823 0.606666i
\(106\) −0.139796 0.0291913i −0.0135782 0.00283531i
\(107\) 5.50848 + 5.50848i 0.532525 + 0.532525i 0.921323 0.388798i \(-0.127110\pi\)
−0.388798 + 0.921323i \(0.627110\pi\)
\(108\) −13.4533 + 5.27522i −1.29455 + 0.507608i
\(109\) 8.20270i 0.785676i −0.919608 0.392838i \(-0.871493\pi\)
0.919608 0.392838i \(-0.128507\pi\)
\(110\) −13.2390 0.887400i −1.26228 0.0846102i
\(111\) 34.9722i 3.31942i
\(112\) 0.181848 4.78038i 0.0171830 0.451703i
\(113\) −6.21691 6.21691i −0.584838 0.584838i 0.351391 0.936229i \(-0.385709\pi\)
−0.936229 + 0.351391i \(0.885709\pi\)
\(114\) 4.07455 19.5129i 0.381616 1.82755i
\(115\) −0.170504 1.21939i −0.0158995 0.113709i
\(116\) 12.0167 + 5.24729i 1.11572 + 0.487198i
\(117\) −3.87567 + 3.87567i −0.358306 + 0.358306i
\(118\) 12.9617 8.48360i 1.19322 0.780979i
\(119\) −0.348532 −0.0319499
\(120\) 17.5587 5.56184i 1.60288 0.507724i
\(121\) −6.60574 −0.600522
\(122\) 4.23605 2.77256i 0.383514 0.251016i
\(123\) −11.5559 + 11.5559i −1.04196 + 1.04196i
\(124\) 9.29088 + 4.05701i 0.834346 + 0.364330i
\(125\) −10.4293 4.02860i −0.932825 0.360329i
\(126\) −1.89489 + 9.07456i −0.168810 + 0.808426i
\(127\) 6.13573 + 6.13573i 0.544458 + 0.544458i 0.924832 0.380375i \(-0.124205\pi\)
−0.380375 + 0.924832i \(0.624205\pi\)
\(128\) 6.89712 8.96826i 0.609625 0.792690i
\(129\) 13.3890i 1.17884i
\(130\) 2.38061 2.08151i 0.208793 0.182561i
\(131\) 2.46129i 0.215043i 0.994203 + 0.107522i \(0.0342915\pi\)
−0.994203 + 0.107522i \(0.965708\pi\)
\(132\) 22.7523 8.92145i 1.98033 0.776513i
\(133\) −4.09309 4.09309i −0.354916 0.354916i
\(134\) 13.6254 + 2.84517i 1.17706 + 0.245785i
\(135\) −16.0006 + 2.23731i −1.37711 + 0.192557i
\(136\) −0.672024 0.477298i −0.0576256 0.0409280i
\(137\) −1.04589 + 1.04589i −0.0893561 + 0.0893561i −0.750372 0.661016i \(-0.770126\pi\)
0.661016 + 0.750372i \(0.270126\pi\)
\(138\) 1.24194 + 1.89749i 0.105721 + 0.161525i
\(139\) −4.32728 −0.367035 −0.183517 0.983016i \(-0.558748\pi\)
−0.183517 + 0.983016i \(0.558748\pi\)
\(140\) 1.44096 5.15073i 0.121783 0.435316i
\(141\) 36.7024 3.09090
\(142\) −3.57124 5.45632i −0.299692 0.457884i
\(143\) 2.96696 2.96696i 0.248110 0.248110i
\(144\) −16.0808 + 14.9022i −1.34007 + 1.24185i
\(145\) 11.7019 + 8.83088i 0.971791 + 0.733365i
\(146\) −5.04243 1.05292i −0.417314 0.0871406i
\(147\) −11.4694 11.4694i −0.945978 0.945978i
\(148\) −8.76765 22.3601i −0.720696 1.83799i
\(149\) 0.356765i 0.0292274i 0.999893 + 0.0146137i \(0.00465185\pi\)
−0.999893 + 0.0146137i \(0.995348\pi\)
\(150\) 20.5392 1.48131i 1.67702 0.120948i
\(151\) 1.46387i 0.119128i 0.998224 + 0.0595642i \(0.0189711\pi\)
−0.998224 + 0.0595642i \(0.981029\pi\)
\(152\) −2.28682 13.4974i −0.185485 1.09478i
\(153\) 1.12947 + 1.12947i 0.0913121 + 0.0913121i
\(154\) 1.45060 6.94689i 0.116893 0.559797i
\(155\) 9.04749 + 6.82771i 0.726712 + 0.548415i
\(156\) −2.33081 + 5.33774i −0.186614 + 0.427361i
\(157\) 1.76334 1.76334i 0.140730 0.140730i −0.633232 0.773962i \(-0.718272\pi\)
0.773962 + 0.633232i \(0.218272\pi\)
\(158\) −2.59272 + 1.69697i −0.206265 + 0.135004i
\(159\) 0.294085 0.0233225
\(160\) 9.83205 7.95807i 0.777292 0.629140i
\(161\) 0.658536 0.0518999
\(162\) 5.44148 3.56153i 0.427523 0.279821i
\(163\) −11.1949 + 11.1949i −0.876851 + 0.876851i −0.993207 0.116357i \(-0.962878\pi\)
0.116357 + 0.993207i \(0.462878\pi\)
\(164\) −4.49135 + 10.2855i −0.350715 + 0.803166i
\(165\) 27.0603 3.78374i 2.10664 0.294564i
\(166\) −4.57479 + 21.9086i −0.355073 + 1.70043i
\(167\) −15.3618 15.3618i −1.18873 1.18873i −0.977418 0.211315i \(-0.932226\pi\)
−0.211315 0.977418i \(-0.567774\pi\)
\(168\) 1.64559 + 9.71270i 0.126960 + 0.749351i
\(169\) 1.00000i 0.0769231i
\(170\) −0.606606 0.693769i −0.0465245 0.0532097i
\(171\) 26.5285i 2.02868i
\(172\) 3.35666 + 8.56047i 0.255943 + 0.652730i
\(173\) −7.09724 7.09724i −0.539593 0.539593i 0.383816 0.923410i \(-0.374610\pi\)
−0.923410 + 0.383816i \(0.874610\pi\)
\(174\) −26.4316 5.51927i −2.00378 0.418415i
\(175\) 2.90639 5.22598i 0.219702 0.395047i
\(176\) 12.3104 11.4081i 0.927932 0.859921i
\(177\) −22.5568 + 22.5568i −1.69548 + 1.69548i
\(178\) −11.6251 17.7614i −0.871341 1.33128i
\(179\) 12.1671 0.909411 0.454705 0.890642i \(-0.349745\pi\)
0.454705 + 0.890642i \(0.349745\pi\)
\(180\) −21.3613 + 12.0220i −1.59218 + 0.896069i
\(181\) 13.0663 0.971209 0.485605 0.874179i \(-0.338599\pi\)
0.485605 + 0.874179i \(0.338599\pi\)
\(182\) 0.926249 + 1.41517i 0.0686581 + 0.104899i
\(183\) −7.37188 + 7.37188i −0.544945 + 0.544945i
\(184\) 1.26976 + 0.901833i 0.0936078 + 0.0664840i
\(185\) −3.71851 26.5937i −0.273390 1.95521i
\(186\) −20.4360 4.26730i −1.49844 0.312894i
\(187\) −0.864648 0.864648i −0.0632293 0.0632293i
\(188\) 23.4663 9.20141i 1.71145 0.671082i
\(189\) 8.64117i 0.628552i
\(190\) 1.02363 15.2713i 0.0742618 1.10790i
\(191\) 13.9391i 1.00860i −0.863529 0.504300i \(-0.831751\pi\)
0.863529 0.504300i \(-0.168249\pi\)
\(192\) −10.1281 + 20.9811i −0.730933 + 1.51418i
\(193\) 4.56547 + 4.56547i 0.328630 + 0.328630i 0.852065 0.523435i \(-0.175350\pi\)
−0.523435 + 0.852065i \(0.675350\pi\)
\(194\) 2.25263 10.7878i 0.161729 0.774518i
\(195\) −3.92262 + 5.19791i −0.280904 + 0.372230i
\(196\) −10.2085 4.45772i −0.729181 0.318409i
\(197\) −13.4201 + 13.4201i −0.956144 + 0.956144i −0.999078 0.0429337i \(-0.986330\pi\)
0.0429337 + 0.999078i \(0.486330\pi\)
\(198\) −27.2133 + 17.8115i −1.93396 + 1.26581i
\(199\) −8.20575 −0.581690 −0.290845 0.956770i \(-0.593936\pi\)
−0.290845 + 0.956770i \(0.593936\pi\)
\(200\) 12.7607 6.09633i 0.902316 0.431076i
\(201\) −28.6634 −2.02176
\(202\) −7.51939 + 4.92156i −0.529062 + 0.346279i
\(203\) −5.54439 + 5.54439i −0.389140 + 0.389140i
\(204\) 1.55555 + 0.679256i 0.108910 + 0.0475575i
\(205\) −7.55868 + 10.0161i −0.527921 + 0.699555i
\(206\) −1.20076 + 5.75040i −0.0836608 + 0.400649i
\(207\) −2.13408 2.13408i −0.148329 0.148329i
\(208\) −0.152052 + 3.99711i −0.0105429 + 0.277150i
\(209\) 20.3085i 1.40477i
\(210\) −0.736601 + 10.9892i −0.0508303 + 0.758328i
\(211\) 9.25421i 0.637086i −0.947908 0.318543i \(-0.896806\pi\)
0.947908 0.318543i \(-0.103194\pi\)
\(212\) 0.188028 0.0737280i 0.0129138 0.00506366i
\(213\) 9.49549 + 9.49549i 0.650620 + 0.650620i
\(214\) −10.7843 2.25191i −0.737203 0.153938i
\(215\) 1.42362 + 10.1813i 0.0970900 + 0.694360i
\(216\) 11.8337 16.6615i 0.805178 1.13367i
\(217\) −4.28672 + 4.28672i −0.291001 + 0.291001i
\(218\) 6.35285 + 9.70618i 0.430269 + 0.657385i
\(219\) 10.6076 0.716794
\(220\) 16.3528 9.20329i 1.10251 0.620485i
\(221\) 0.291425 0.0196034
\(222\) 27.0854 + 41.3823i 1.81785 + 2.77740i
\(223\) −0.454255 + 0.454255i −0.0304191 + 0.0304191i −0.722153 0.691734i \(-0.756847\pi\)
0.691734 + 0.722153i \(0.256847\pi\)
\(224\) 3.48714 + 5.79741i 0.232994 + 0.387356i
\(225\) −26.3541 + 7.51696i −1.75694 + 0.501131i
\(226\) 12.1713 + 2.54153i 0.809623 + 0.169060i
\(227\) −17.6950 17.6950i −1.17446 1.17446i −0.981134 0.193327i \(-0.938072\pi\)
−0.193327 0.981134i \(-0.561928\pi\)
\(228\) 10.2910 + 26.2451i 0.681539 + 1.73812i
\(229\) 2.81751i 0.186186i 0.995657 + 0.0930932i \(0.0296755\pi\)
−0.995657 + 0.0930932i \(0.970325\pi\)
\(230\) 1.14615 + 1.31085i 0.0755752 + 0.0864346i
\(231\) 14.6139i 0.961527i
\(232\) −18.2832 + 3.09766i −1.20035 + 0.203371i
\(233\) −11.0313 11.0313i −0.722685 0.722685i 0.246466 0.969151i \(-0.420731\pi\)
−0.969151 + 0.246466i \(0.920731\pi\)
\(234\) 1.58441 7.58769i 0.103576 0.496023i
\(235\) 27.9094 3.90248i 1.82061 0.254569i
\(236\) −8.76700 + 20.0771i −0.570683 + 1.30691i
\(237\) 4.51204 4.51204i 0.293088 0.293088i
\(238\) 0.412415 0.269932i 0.0267329 0.0174971i
\(239\) 0.438609 0.0283713 0.0141856 0.999899i \(-0.495484\pi\)
0.0141856 + 0.999899i \(0.495484\pi\)
\(240\) −16.4695 + 20.1802i −1.06310 + 1.30262i
\(241\) −6.48281 −0.417594 −0.208797 0.977959i \(-0.566955\pi\)
−0.208797 + 0.977959i \(0.566955\pi\)
\(242\) 7.81652 5.11603i 0.502465 0.328871i
\(243\) 5.85752 5.85752i 0.375760 0.375760i
\(244\) −2.86518 + 6.56148i −0.183424 + 0.420056i
\(245\) −9.94111 7.50209i −0.635114 0.479291i
\(246\) 4.72415 22.6238i 0.301201 1.44244i
\(247\) 3.42243 + 3.42243i 0.217764 + 0.217764i
\(248\) −14.1359 + 2.39500i −0.897630 + 0.152083i
\(249\) 46.0883i 2.92073i
\(250\) 15.4610 3.31030i 0.977838 0.209362i
\(251\) 17.3721i 1.09652i −0.836309 0.548259i \(-0.815291\pi\)
0.836309 0.548259i \(-0.184709\pi\)
\(252\) −4.78589 12.2054i −0.301482 0.768868i
\(253\) 1.63371 + 1.63371i 0.102711 + 0.102711i
\(254\) −12.0124 2.50834i −0.753722 0.157387i
\(255\) 1.51480 + 1.14315i 0.0948605 + 0.0715868i
\(256\) −1.21554 + 15.9538i −0.0759710 + 0.997110i
\(257\) 12.8863 12.8863i 0.803824 0.803824i −0.179867 0.983691i \(-0.557567\pi\)
0.983691 + 0.179867i \(0.0575666\pi\)
\(258\) −10.3695 15.8431i −0.645579 0.986347i
\(259\) 14.3620 0.892412
\(260\) −1.20486 + 4.30678i −0.0747220 + 0.267095i
\(261\) 35.9348 2.22431
\(262\) −1.90622 2.91242i −0.117767 0.179930i
\(263\) −17.7105 + 17.7105i −1.09208 + 1.09208i −0.0967688 + 0.995307i \(0.530851\pi\)
−0.995307 + 0.0967688i \(0.969149\pi\)
\(264\) −20.0131 + 28.1779i −1.23172 + 1.73423i
\(265\) 0.223629 0.0312693i 0.0137374 0.00192086i
\(266\) 8.01334 + 1.67329i 0.491329 + 0.102596i
\(267\) 30.9098 + 30.9098i 1.89165 + 1.89165i
\(268\) −18.3264 + 7.18600i −1.11946 + 0.438955i
\(269\) 9.90226i 0.603752i −0.953347 0.301876i \(-0.902387\pi\)
0.953347 0.301876i \(-0.0976128\pi\)
\(270\) 17.2006 15.0396i 1.04680 0.915280i
\(271\) 23.2048i 1.40959i −0.709409 0.704797i \(-0.751038\pi\)
0.709409 0.704797i \(-0.248962\pi\)
\(272\) 1.16486 + 0.0443118i 0.0706299 + 0.00268680i
\(273\) −2.46278 2.46278i −0.149054 0.149054i
\(274\) 0.427567 2.04761i 0.0258303 0.123701i
\(275\) 20.1750 5.75450i 1.21660 0.347009i
\(276\) −2.93914 1.28342i −0.176916 0.0772530i
\(277\) 14.8259 14.8259i 0.890802 0.890802i −0.103797 0.994599i \(-0.533099\pi\)
0.994599 + 0.103797i \(0.0330992\pi\)
\(278\) 5.12043 3.35140i 0.307103 0.201004i
\(279\) 27.7834 1.66335
\(280\) 2.28407 + 7.21080i 0.136500 + 0.430928i
\(281\) −0.130168 −0.00776516 −0.00388258 0.999992i \(-0.501236\pi\)
−0.00388258 + 0.999992i \(0.501236\pi\)
\(282\) −43.4296 + 28.4254i −2.58620 + 1.69271i
\(283\) 10.2040 10.2040i 0.606564 0.606564i −0.335482 0.942047i \(-0.608899\pi\)
0.942047 + 0.335482i \(0.108899\pi\)
\(284\) 8.45164 + 3.69054i 0.501513 + 0.218994i
\(285\) 4.36460 + 31.2144i 0.258536 + 1.84898i
\(286\) −1.21292 + 5.80864i −0.0717215 + 0.343472i
\(287\) −4.74565 4.74565i −0.280127 0.280127i
\(288\) 7.48678 30.0879i 0.441163 1.77295i
\(289\) 16.9151i 0.995004i
\(290\) −20.6861 1.38658i −1.21473 0.0814227i
\(291\) 22.6939i 1.33034i
\(292\) 6.78213 2.65935i 0.396894 0.155627i
\(293\) 11.9053 + 11.9053i 0.695514 + 0.695514i 0.963440 0.267926i \(-0.0863382\pi\)
−0.267926 + 0.963440i \(0.586338\pi\)
\(294\) 22.4544 + 4.68878i 1.30957 + 0.273455i
\(295\) −14.7544 + 19.5512i −0.859032 + 1.13831i
\(296\) 27.6921 + 19.6681i 1.60957 + 1.14318i
\(297\) 21.4372 21.4372i 1.24391 1.24391i
\(298\) −0.276309 0.422157i −0.0160061 0.0244549i
\(299\) −0.550635 −0.0318440
\(300\) −23.1566 + 17.6600i −1.33694 + 1.01960i
\(301\) −5.49844 −0.316925
\(302\) −1.13374 1.73219i −0.0652397 0.0996763i
\(303\) 13.0858 13.0858i 0.751759 0.751759i
\(304\) 13.1595 + 14.2002i 0.754746 + 0.814439i
\(305\) −4.82193 + 6.38959i −0.276103 + 0.365867i
\(306\) −2.21124 0.461736i −0.126408 0.0263957i
\(307\) −24.2442 24.2442i −1.38369 1.38369i −0.837967 0.545721i \(-0.816256\pi\)
−0.545721 0.837967i \(-0.683744\pi\)
\(308\) 3.66376 + 9.34366i 0.208762 + 0.532404i
\(309\) 12.0969i 0.688170i
\(310\) −15.9938 1.07205i −0.908384 0.0608885i
\(311\) 11.5941i 0.657443i −0.944427 0.328721i \(-0.893382\pi\)
0.944427 0.328721i \(-0.106618\pi\)
\(312\) −1.37596 8.12127i −0.0778984 0.459776i
\(313\) 22.6331 + 22.6331i 1.27930 + 1.27930i 0.941062 + 0.338235i \(0.109830\pi\)
0.338235 + 0.941062i \(0.390170\pi\)
\(314\) −0.720869 + 3.45222i −0.0406810 + 0.194820i
\(315\) −2.02978 14.5164i −0.114365 0.817906i
\(316\) 1.75366 4.01603i 0.0986512 0.225919i
\(317\) −0.866886 + 0.866886i −0.0486892 + 0.0486892i −0.731032 0.682343i \(-0.760961\pi\)
0.682343 + 0.731032i \(0.260961\pi\)
\(318\) −0.347988 + 0.227764i −0.0195142 + 0.0127724i
\(319\) −27.5093 −1.54023
\(320\) −5.47079 + 17.0315i −0.305827 + 0.952087i
\(321\) 22.6867 1.26625
\(322\) −0.779240 + 0.510025i −0.0434253 + 0.0284226i
\(323\) 0.997383 0.997383i 0.0554959 0.0554959i
\(324\) −3.68051 + 8.42866i −0.204473 + 0.468259i
\(325\) −2.43017 + 4.36970i −0.134802 + 0.242387i
\(326\) 4.57656 21.9170i 0.253472 1.21387i
\(327\) −16.8914 16.8914i −0.934098 0.934098i
\(328\) −2.65140 15.6493i −0.146399 0.864086i
\(329\) 15.0725i 0.830976i
\(330\) −29.0897 + 25.4350i −1.60134 + 1.40015i
\(331\) 6.91111i 0.379869i 0.981797 + 0.189935i \(0.0608276\pi\)
−0.981797 + 0.189935i \(0.939172\pi\)
\(332\) −11.5545 29.4673i −0.634135 1.61723i
\(333\) −46.5421 46.5421i −2.55049 2.55049i
\(334\) 30.0749 + 6.28004i 1.64563 + 0.343628i
\(335\) −21.7963 + 3.04771i −1.19086 + 0.166514i
\(336\) −9.46952 10.2185i −0.516605 0.557463i
\(337\) −3.31953 + 3.31953i −0.180826 + 0.180826i −0.791716 0.610889i \(-0.790812\pi\)
0.610889 + 0.791716i \(0.290812\pi\)
\(338\) −0.774482 1.18329i −0.0421263 0.0643625i
\(339\) −25.6044 −1.39064
\(340\) 1.25510 + 0.351125i 0.0680675 + 0.0190424i
\(341\) −21.2692 −1.15179
\(342\) −20.5458 31.3909i −1.11099 1.69743i
\(343\) 10.6298 10.6298i 0.573956 0.573956i
\(344\) −10.6018 7.52985i −0.571613 0.405982i
\(345\) −2.86215 2.15993i −0.154093 0.116287i
\(346\) 13.8948 + 2.90141i 0.746989 + 0.155981i
\(347\) −0.298469 0.298469i −0.0160226 0.0160226i 0.699050 0.715073i \(-0.253606\pi\)
−0.715073 + 0.699050i \(0.753606\pi\)
\(348\) 35.5509 13.9399i 1.90573 0.747259i
\(349\) 28.4804i 1.52452i −0.647271 0.762260i \(-0.724090\pi\)
0.647271 0.762260i \(-0.275910\pi\)
\(350\) 0.608327 + 8.43480i 0.0325164 + 0.450859i
\(351\) 7.22531i 0.385658i
\(352\) −5.73139 + 23.0333i −0.305484 + 1.22768i
\(353\) −12.3525 12.3525i −0.657459 0.657459i 0.297320 0.954778i \(-0.403907\pi\)
−0.954778 + 0.297320i \(0.903907\pi\)
\(354\) 9.22143 44.1612i 0.490113 2.34714i
\(355\) 8.23024 + 6.21097i 0.436816 + 0.329644i
\(356\) 27.5118 + 12.0135i 1.45812 + 0.636713i
\(357\) −0.717716 + 0.717716i −0.0379855 + 0.0379855i
\(358\) −14.3972 + 9.42319i −0.760916 + 0.498031i
\(359\) −28.4805 −1.50314 −0.751572 0.659651i \(-0.770704\pi\)
−0.751572 + 0.659651i \(0.770704\pi\)
\(360\) 15.9658 30.7695i 0.841470 1.62169i
\(361\) 4.42610 0.232953
\(362\) −15.4612 + 10.1196i −0.812624 + 0.531875i
\(363\) −13.6029 + 13.6029i −0.713966 + 0.713966i
\(364\) −2.19204 0.957191i −0.114894 0.0501704i
\(365\) 8.06627 1.12788i 0.422208 0.0590358i
\(366\) 3.01369 14.4325i 0.157528 0.754398i
\(367\) 15.7149 + 15.7149i 0.820313 + 0.820313i 0.986153 0.165840i \(-0.0530335\pi\)
−0.165840 + 0.986153i \(0.553034\pi\)
\(368\) −2.20095 0.0837251i −0.114732 0.00436447i
\(369\) 30.7579i 1.60119i
\(370\) 24.9965 + 28.5882i 1.29950 + 1.48623i
\(371\) 0.120772i 0.00627015i
\(372\) 27.4867 10.7778i 1.42512 0.558805i
\(373\) 4.87930 + 4.87930i 0.252641 + 0.252641i 0.822052 0.569412i \(-0.192829\pi\)
−0.569412 + 0.822052i \(0.692829\pi\)
\(374\) 1.69278 + 0.353475i 0.0875318 + 0.0182778i
\(375\) −29.7725 + 13.1806i −1.53744 + 0.680646i
\(376\) −20.6411 + 29.0622i −1.06448 + 1.49877i
\(377\) 4.63594 4.63594i 0.238763 0.238763i
\(378\) 6.69243 + 10.2250i 0.344221 + 0.525918i
\(379\) −0.333137 −0.0171121 −0.00855604 0.999963i \(-0.502724\pi\)
−0.00855604 + 0.999963i \(0.502724\pi\)
\(380\) 10.6161 + 18.8632i 0.544595 + 0.967661i
\(381\) 25.2700 1.29462
\(382\) 10.7956 + 16.4940i 0.552351 + 0.843909i
\(383\) −8.70979 + 8.70979i −0.445050 + 0.445050i −0.893705 0.448655i \(-0.851903\pi\)
0.448655 + 0.893705i \(0.351903\pi\)
\(384\) −4.26501 32.6708i −0.217648 1.66723i
\(385\) 1.55386 + 11.1128i 0.0791923 + 0.566361i
\(386\) −8.93816 1.86641i −0.454941 0.0949975i
\(387\) 17.8185 + 17.8185i 0.905765 + 0.905765i
\(388\) 5.68944 + 14.5097i 0.288837 + 0.736619i
\(389\) 15.7397i 0.798036i 0.916943 + 0.399018i \(0.130649\pi\)
−0.916943 + 0.399018i \(0.869351\pi\)
\(390\) 0.615909 9.18863i 0.0311877 0.465284i
\(391\) 0.160469i 0.00811526i
\(392\) 15.5321 2.63155i 0.784489 0.132913i
\(393\) 5.06840 + 5.06840i 0.255667 + 0.255667i
\(394\) 5.48626 26.2736i 0.276394 1.32364i
\(395\) 2.95131 3.91082i 0.148497 0.196775i
\(396\) 18.4065 42.1524i 0.924962 2.11824i
\(397\) 17.4901 17.4901i 0.877805 0.877805i −0.115502 0.993307i \(-0.536848\pi\)
0.993307 + 0.115502i \(0.0368478\pi\)
\(398\) 9.70979 6.35521i 0.486708 0.318558i
\(399\) −16.8574 −0.843925
\(400\) −10.3781 + 17.0966i −0.518904 + 0.854832i
\(401\) 1.23996 0.0619204 0.0309602 0.999521i \(-0.490143\pi\)
0.0309602 + 0.999521i \(0.490143\pi\)
\(402\) 33.9171 22.1993i 1.69163 1.10720i
\(403\) 3.58434 3.58434i 0.178549 0.178549i
\(404\) 5.08596 11.6473i 0.253036 0.579473i
\(405\) −6.19408 + 8.20786i −0.307786 + 0.407852i
\(406\) 2.26659 10.8547i 0.112489 0.538707i
\(407\) 35.6296 + 35.6296i 1.76610 + 1.76610i
\(408\) −2.36674 + 0.400989i −0.117171 + 0.0198519i
\(409\) 13.6662i 0.675749i 0.941191 + 0.337875i \(0.109708\pi\)
−0.941191 + 0.337875i \(0.890292\pi\)
\(410\) 1.18682 17.7060i 0.0586131 0.874438i
\(411\) 4.30749i 0.212473i
\(412\) −3.03274 7.73436i −0.149412 0.381045i
\(413\) −9.26339 9.26339i −0.455822 0.455822i
\(414\) 4.17804 + 0.872430i 0.205340 + 0.0428776i
\(415\) −4.90046 35.0467i −0.240554 1.72037i
\(416\) −2.91577 4.84750i −0.142957 0.237668i
\(417\) −8.91095 + 8.91095i −0.436371 + 0.436371i
\(418\) 15.7285 + 24.0308i 0.769309 + 1.17539i
\(419\) −30.4429 −1.48723 −0.743617 0.668605i \(-0.766892\pi\)
−0.743617 + 0.668605i \(0.766892\pi\)
\(420\) −7.63934 13.5739i −0.372762 0.662340i
\(421\) −30.0550 −1.46479 −0.732396 0.680878i \(-0.761598\pi\)
−0.732396 + 0.680878i \(0.761598\pi\)
\(422\) 7.16722 + 10.9504i 0.348895 + 0.533058i
\(423\) 48.8447 48.8447i 2.37491 2.37491i
\(424\) −0.165391 + 0.232866i −0.00803208 + 0.0113090i
\(425\) 1.27344 + 0.708214i 0.0617709 + 0.0343534i
\(426\) −18.5900 3.88184i −0.900689 0.188076i
\(427\) −3.02740 3.02740i −0.146506 0.146506i
\(428\) 14.5051 5.68762i 0.701130 0.274922i
\(429\) 12.2194i 0.589960i
\(430\) −9.56981 10.9449i −0.461497 0.527810i
\(431\) 29.7403i 1.43254i 0.697822 + 0.716271i \(0.254153\pi\)
−0.697822 + 0.716271i \(0.745847\pi\)
\(432\) −1.09862 + 28.8803i −0.0528575 + 1.38951i
\(433\) 0.932973 + 0.932973i 0.0448358 + 0.0448358i 0.729169 0.684333i \(-0.239907\pi\)
−0.684333 + 0.729169i \(0.739907\pi\)
\(434\) 1.75245 8.39242i 0.0841201 0.402849i
\(435\) 42.2822 5.91217i 2.02727 0.283467i
\(436\) −15.0345 6.56507i −0.720023 0.314410i
\(437\) −1.88451 + 1.88451i −0.0901484 + 0.0901484i
\(438\) −12.5519 + 8.21539i −0.599751 + 0.392546i
\(439\) −18.8341 −0.898901 −0.449450 0.893305i \(-0.648380\pi\)
−0.449450 + 0.893305i \(0.648380\pi\)
\(440\) −12.2223 + 23.5551i −0.582678 + 1.12295i
\(441\) −30.5276 −1.45370
\(442\) −0.344841 + 0.225704i −0.0164024 + 0.0107356i
\(443\) −12.6851 + 12.6851i −0.602687 + 0.602687i −0.941025 0.338338i \(-0.890135\pi\)
0.338338 + 0.941025i \(0.390135\pi\)
\(444\) −64.0998 27.9902i −3.04204 1.32836i
\(445\) 26.7911 + 20.2180i 1.27002 + 0.958425i
\(446\) 0.185703 0.889327i 0.00879330 0.0421109i
\(447\) 0.734670 + 0.734670i 0.0347487 + 0.0347487i
\(448\) −8.61629 4.15930i −0.407082 0.196508i
\(449\) 15.8773i 0.749297i 0.927167 + 0.374648i \(0.122237\pi\)
−0.927167 + 0.374648i \(0.877763\pi\)
\(450\) 25.3628 29.3055i 1.19561 1.38148i
\(451\) 23.5462i 1.10875i
\(452\) −16.3706 + 6.41909i −0.770006 + 0.301929i
\(453\) 3.01448 + 3.01448i 0.141633 + 0.141633i
\(454\) 34.6429 + 7.23389i 1.62587 + 0.339503i
\(455\) −2.13462 1.61090i −0.100072 0.0755200i
\(456\) −32.5036 23.0854i −1.52212 1.08107i
\(457\) 14.5221 14.5221i 0.679317 0.679317i −0.280529 0.959846i \(-0.590510\pi\)
0.959846 + 0.280529i \(0.0905099\pi\)
\(458\) −2.18211 3.33394i −0.101963 0.155785i
\(459\) 2.10564 0.0982827
\(460\) −2.37146 0.663435i −0.110570 0.0309328i
\(461\) 6.30338 0.293578 0.146789 0.989168i \(-0.453106\pi\)
0.146789 + 0.989168i \(0.453106\pi\)
\(462\) −11.3182 17.2926i −0.526572 0.804522i
\(463\) −20.4903 + 20.4903i −0.952265 + 0.952265i −0.998911 0.0466465i \(-0.985147\pi\)
0.0466465 + 0.998911i \(0.485147\pi\)
\(464\) 19.2352 17.8254i 0.892974 0.827525i
\(465\) 32.6910 4.57107i 1.51601 0.211978i
\(466\) 21.5968 + 4.50969i 1.00045 + 0.208908i
\(467\) 11.3954 + 11.3954i 0.527315 + 0.527315i 0.919771 0.392456i \(-0.128374\pi\)
−0.392456 + 0.919771i \(0.628374\pi\)
\(468\) 4.00172 + 10.2055i 0.184979 + 0.471751i
\(469\) 11.7712i 0.543542i
\(470\) −30.0026 + 26.2331i −1.38391 + 1.21004i
\(471\) 7.26233i 0.334630i
\(472\) −5.17547 30.5470i −0.238221 1.40604i
\(473\) −13.6407 13.6407i −0.627199 0.627199i
\(474\) −1.84456 + 8.83355i −0.0847235 + 0.405738i
\(475\) 6.63789 + 23.2721i 0.304567 + 1.06780i
\(476\) −0.278949 + 0.638817i −0.0127856 + 0.0292801i
\(477\) 0.391377 0.391377i 0.0179199 0.0179199i
\(478\) −0.519002 + 0.339695i −0.0237386 + 0.0155373i
\(479\) 27.1128 1.23881 0.619407 0.785070i \(-0.287373\pi\)
0.619407 + 0.785070i \(0.287373\pi\)
\(480\) 3.85900 36.6343i 0.176139 1.67212i
\(481\) −12.0088 −0.547554
\(482\) 7.67105 5.02082i 0.349407 0.228692i
\(483\) 1.35609 1.35609i 0.0617043 0.0617043i
\(484\) −5.28694 + 12.1075i −0.240315 + 0.550341i
\(485\) 2.41299 + 17.2570i 0.109568 + 0.783601i
\(486\) −2.39460 + 11.4677i −0.108621 + 0.520185i
\(487\) 6.08398 + 6.08398i 0.275692 + 0.275692i 0.831386 0.555695i \(-0.187548\pi\)
−0.555695 + 0.831386i \(0.687548\pi\)
\(488\) −1.69142 9.98317i −0.0765668 0.451917i
\(489\) 46.1061i 2.08499i
\(490\) 17.5735 + 1.17794i 0.793888 + 0.0532138i
\(491\) 28.1664i 1.27113i −0.772046 0.635567i \(-0.780767\pi\)
0.772046 0.635567i \(-0.219233\pi\)
\(492\) 11.9317 + 30.4293i 0.537923 + 1.37186i
\(493\) −1.35103 1.35103i −0.0608473 0.0608473i
\(494\) −6.70035 1.39912i −0.301463 0.0629494i
\(495\) 30.9771 41.0481i 1.39232 1.84498i
\(496\) 14.8720 13.7820i 0.667772 0.618829i
\(497\) −3.89950 + 3.89950i −0.174917 + 0.174917i
\(498\) 35.6946 + 54.5359i 1.59951 + 2.44381i
\(499\) 19.3231 0.865023 0.432511 0.901629i \(-0.357628\pi\)
0.432511 + 0.901629i \(0.357628\pi\)
\(500\) −15.7311 + 15.8913i −0.703515 + 0.710681i
\(501\) −63.2677 −2.82659
\(502\) 13.4544 + 20.5563i 0.600499 + 0.917471i
\(503\) 5.39116 5.39116i 0.240380 0.240380i −0.576627 0.817007i \(-0.695632\pi\)
0.817007 + 0.576627i \(0.195632\pi\)
\(504\) 15.1160 + 10.7360i 0.673318 + 0.478217i
\(505\) 8.55938 11.3421i 0.380887 0.504719i
\(506\) −3.19844 0.667876i −0.142188 0.0296907i
\(507\) 2.05925 + 2.05925i 0.0914546 + 0.0914546i
\(508\) 16.1568 6.33527i 0.716841 0.281082i
\(509\) 14.1691i 0.628033i 0.949417 + 0.314017i \(0.101675\pi\)
−0.949417 + 0.314017i \(0.898325\pi\)
\(510\) −2.67780 0.179491i −0.118575 0.00794801i
\(511\) 4.35620i 0.192707i
\(512\) −10.9176 19.8193i −0.482493 0.875900i
\(513\) 24.7281 + 24.7281i 1.09177 + 1.09177i
\(514\) −5.26802 + 25.2284i −0.232363 + 1.11278i
\(515\) −1.28624 9.19880i −0.0566783 0.405347i
\(516\) 24.5404 + 10.7159i 1.08033 + 0.471743i
\(517\) −37.3923 + 37.3923i −1.64451 + 1.64451i
\(518\) −16.9944 + 11.1231i −0.746693 + 0.488722i
\(519\) −29.2300 −1.28306
\(520\) −1.90983 6.02931i −0.0837515 0.264403i
\(521\) 18.4923 0.810164 0.405082 0.914280i \(-0.367243\pi\)
0.405082 + 0.914280i \(0.367243\pi\)
\(522\) −42.5213 + 27.8308i −1.86111 + 1.21812i
\(523\) 3.63846 3.63846i 0.159099 0.159099i −0.623069 0.782167i \(-0.714114\pi\)
0.782167 + 0.623069i \(0.214114\pi\)
\(524\) 4.51123 + 1.96990i 0.197074 + 0.0860555i
\(525\) −4.77662 16.7466i −0.208469 0.730881i
\(526\) 7.24020 34.6731i 0.315688 1.51182i
\(527\) −1.04457 1.04457i −0.0455020 0.0455020i
\(528\) 1.85799 48.8425i 0.0808587 2.12559i
\(529\) 22.6968i 0.986817i
\(530\) −0.240401 + 0.210198i −0.0104424 + 0.00913041i
\(531\) 60.0387i 2.60546i
\(532\) −10.7780 + 4.22620i −0.467287 + 0.183229i
\(533\) 3.96807 + 3.96807i 0.171876 + 0.171876i
\(534\) −60.5144 12.6362i −2.61871 0.546821i
\(535\) 17.2515 2.41222i 0.745848 0.104289i
\(536\) 16.1200 22.6966i 0.696279 0.980344i
\(537\) 25.0551 25.0551i 1.08121 1.08121i
\(538\) 7.66913 + 11.7173i 0.330640 + 0.505167i
\(539\) 23.3699 1.00661
\(540\) −8.70545 + 31.1178i −0.374623 + 1.33910i
\(541\) 12.8284 0.551535 0.275767 0.961224i \(-0.411068\pi\)
0.275767 + 0.961224i \(0.411068\pi\)
\(542\) 17.9717 + 27.4581i 0.771952 + 1.17943i
\(543\) 26.9068 26.9068i 1.15468 1.15468i
\(544\) −1.41268 + 0.849728i −0.0605684 + 0.0364318i
\(545\) −14.6407 11.0486i −0.627138 0.473271i
\(546\) 4.82156 + 1.00680i 0.206344 + 0.0430873i
\(547\) −15.8672 15.8672i −0.678431 0.678431i 0.281214 0.959645i \(-0.409263\pi\)
−0.959645 + 0.281214i \(0.909263\pi\)
\(548\) 1.07990 + 2.75406i 0.0461310 + 0.117648i
\(549\) 19.6215i 0.837423i
\(550\) −19.4161 + 22.4344i −0.827905 + 0.956606i
\(551\) 31.7324i 1.35184i
\(552\) 4.47185 0.757651i 0.190335 0.0322478i
\(553\) 1.85295 + 1.85295i 0.0787956 + 0.0787956i
\(554\) −6.06095 + 29.0257i −0.257505 + 1.23319i
\(555\) −62.4205 47.1059i −2.64960 1.99953i
\(556\) −3.46336 + 7.93136i −0.146879 + 0.336365i
\(557\) −4.50875 + 4.50875i −0.191042 + 0.191042i −0.796146 0.605104i \(-0.793131\pi\)
0.605104 + 0.796146i \(0.293131\pi\)
\(558\) −32.8759 + 21.5178i −1.39175 + 0.910920i
\(559\) 4.59752 0.194454
\(560\) −8.28736 6.76350i −0.350205 0.285810i
\(561\) −3.56105 −0.150348
\(562\) 0.154026 0.100813i 0.00649721 0.00425252i
\(563\) −7.11349 + 7.11349i −0.299798 + 0.299798i −0.840935 0.541137i \(-0.817994\pi\)
0.541137 + 0.840935i \(0.317994\pi\)
\(564\) 29.3749 67.2709i 1.23691 2.83262i
\(565\) −19.4702 + 2.72245i −0.819117 + 0.114534i
\(566\) −4.17148 + 19.9771i −0.175340 + 0.839700i
\(567\) −3.88890 3.88890i −0.163318 0.163318i
\(568\) −12.8590 + 2.17866i −0.539552 + 0.0914146i
\(569\) 18.4963i 0.775404i 0.921785 + 0.387702i \(0.126731\pi\)
−0.921785 + 0.387702i \(0.873269\pi\)
\(570\) −29.3396 33.5554i −1.22890 1.40548i
\(571\) 31.1985i 1.30562i 0.757523 + 0.652808i \(0.226409\pi\)
−0.757523 + 0.652808i \(0.773591\pi\)
\(572\) −3.06345 7.81270i −0.128089 0.326665i
\(573\) −28.7042 28.7042i −1.19913 1.19913i
\(574\) 9.29090 + 1.94006i 0.387795 + 0.0809766i
\(575\) −2.40611 1.33814i −0.100342 0.0558042i
\(576\) 14.4435 + 41.4011i 0.601813 + 1.72505i
\(577\) 21.5066 21.5066i 0.895334 0.895334i −0.0996855 0.995019i \(-0.531784\pi\)
0.995019 + 0.0996855i \(0.0317837\pi\)
\(578\) −13.1004 20.0154i −0.544906 0.832533i
\(579\) 18.8029 0.781423
\(580\) 25.5516 14.3803i 1.06097 0.597110i
\(581\) 18.9270 0.785226
\(582\) −17.5760 26.8535i −0.728550 1.11311i
\(583\) −0.299613 + 0.299613i −0.0124087 + 0.0124087i
\(584\) −5.96561 + 8.39943i −0.246859 + 0.347571i
\(585\) 1.69720 + 12.1379i 0.0701704 + 0.501839i
\(586\) −23.3078 4.86698i −0.962838 0.201053i
\(587\) −2.12698 2.12698i −0.0877898 0.0877898i 0.661848 0.749638i \(-0.269772\pi\)
−0.749638 + 0.661848i \(0.769772\pi\)
\(588\) −30.2015 + 11.8424i −1.24549 + 0.488371i
\(589\) 24.5343i 1.01092i
\(590\) 2.31665 34.5617i 0.0953751 1.42288i
\(591\) 55.2708i 2.27354i
\(592\) −48.0004 1.82596i −1.97281 0.0750465i
\(593\) −14.9993 14.9993i −0.615948 0.615948i 0.328541 0.944490i \(-0.393443\pi\)
−0.944490 + 0.328541i \(0.893443\pi\)
\(594\) −8.76372 + 41.9692i −0.359580 + 1.72202i
\(595\) −0.469456 + 0.622082i −0.0192458 + 0.0255029i
\(596\) 0.653907 + 0.285539i 0.0267851 + 0.0116961i
\(597\) −16.8977 + 16.8977i −0.691577 + 0.691577i
\(598\) 0.651561 0.426457i 0.0266443 0.0174391i
\(599\) 31.8821 1.30267 0.651334 0.758791i \(-0.274210\pi\)
0.651334 + 0.758791i \(0.274210\pi\)
\(600\) 13.7236 38.8313i 0.560262 1.58528i
\(601\) −36.5855 −1.49236 −0.746178 0.665747i \(-0.768113\pi\)
−0.746178 + 0.665747i \(0.768113\pi\)
\(602\) 6.50626 4.25845i 0.265175 0.173561i
\(603\) −38.1461 + 38.1461i −1.55343 + 1.55343i
\(604\) 2.68310 + 1.17162i 0.109174 + 0.0476725i
\(605\) −8.89761 + 11.7903i −0.361739 + 0.479345i
\(606\) −5.34959 + 25.6190i −0.217312 + 1.04070i
\(607\) 8.79118 + 8.79118i 0.356823 + 0.356823i 0.862640 0.505818i \(-0.168809\pi\)
−0.505818 + 0.862640i \(0.668809\pi\)
\(608\) −26.5693 6.61124i −1.07753 0.268121i
\(609\) 22.8346i 0.925304i
\(610\) 0.757114 11.2952i 0.0306546 0.457331i
\(611\) 12.6029i 0.509858i
\(612\) 2.97415 1.16620i 0.120223 0.0471409i
\(613\) 9.74539 + 9.74539i 0.393613 + 0.393613i 0.875973 0.482360i \(-0.160220\pi\)
−0.482360 + 0.875973i \(0.660220\pi\)
\(614\) 47.4646 + 9.91122i 1.91551 + 0.399984i
\(615\) 5.06044 + 36.1909i 0.204057 + 1.45936i
\(616\) −11.5718 8.21875i −0.466241 0.331143i
\(617\) 15.9154 15.9154i 0.640729 0.640729i −0.310005 0.950735i \(-0.600331\pi\)
0.950735 + 0.310005i \(0.100331\pi\)
\(618\) 9.36885 + 14.3142i 0.376870 + 0.575801i
\(619\) 6.47284 0.260165 0.130083 0.991503i \(-0.458476\pi\)
0.130083 + 0.991503i \(0.458476\pi\)
\(620\) 19.7555 11.1183i 0.793402 0.446523i
\(621\) −3.97850 −0.159652
\(622\) 8.97945 + 13.7192i 0.360043 + 0.550091i
\(623\) −12.6937 + 12.6937i −0.508562 + 0.508562i
\(624\) 7.91794 + 8.54416i 0.316971 + 0.342040i
\(625\) −21.2382 + 13.1885i −0.849530 + 0.527541i
\(626\) −44.3104 9.25259i −1.77100 0.369808i
\(627\) −41.8202 41.8202i −1.67014 1.67014i
\(628\) −1.82069 4.64328i −0.0726533 0.185287i
\(629\) 3.49966i 0.139541i
\(630\) 13.6445 + 15.6051i 0.543610 + 0.621722i
\(631\) 38.0648i 1.51533i 0.652641 + 0.757667i \(0.273661\pi\)
−0.652641 + 0.757667i \(0.726339\pi\)
\(632\) 1.03525 + 6.11031i 0.0411800 + 0.243055i
\(633\) −19.0567 19.0567i −0.757438 0.757438i
\(634\) 0.354390 1.69717i 0.0140746 0.0674031i
\(635\) 19.2159 2.68690i 0.762561 0.106626i
\(636\) 0.235372 0.539021i 0.00933312 0.0213736i
\(637\) −3.93836 + 3.93836i −0.156044 + 0.156044i
\(638\) 32.5515 21.3055i 1.28873 0.843492i
\(639\) 25.2738 0.999816
\(640\) −6.71702 24.3902i −0.265514 0.964107i
\(641\) 2.47864 0.0979003 0.0489501 0.998801i \(-0.484412\pi\)
0.0489501 + 0.998801i \(0.484412\pi\)
\(642\) −26.8449 + 17.5704i −1.05949 + 0.693450i
\(643\) 22.2075 22.2075i 0.875780 0.875780i −0.117315 0.993095i \(-0.537429\pi\)
0.993095 + 0.117315i \(0.0374287\pi\)
\(644\) 0.527062 1.20701i 0.0207692 0.0475631i
\(645\) 23.8975 + 18.0343i 0.940963 + 0.710100i
\(646\) −0.407739 + 1.95265i −0.0160423 + 0.0768260i
\(647\) −19.5503 19.5503i −0.768603 0.768603i 0.209258 0.977861i \(-0.432895\pi\)
−0.977861 + 0.209258i \(0.932895\pi\)
\(648\) −2.17274 12.8240i −0.0853531 0.503776i
\(649\) 45.9617i 1.80415i
\(650\) −0.508652 7.05275i −0.0199510 0.276632i
\(651\) 17.6549i 0.691948i
\(652\) 11.5590 + 29.4787i 0.452683 + 1.15447i
\(653\) 1.86959 + 1.86959i 0.0731625 + 0.0731625i 0.742741 0.669579i \(-0.233525\pi\)
−0.669579 + 0.742741i \(0.733525\pi\)
\(654\) 33.0696 + 6.90536i 1.29312 + 0.270021i
\(655\) 4.39305 + 3.31523i 0.171651 + 0.129537i
\(656\) 15.2575 + 16.4642i 0.595704 + 0.642818i
\(657\) 14.1169 14.1169i 0.550753 0.550753i
\(658\) −11.6734 17.8352i −0.455077 0.695288i
\(659\) 1.00511 0.0391535 0.0195767 0.999808i \(-0.493768\pi\)
0.0195767 + 0.999808i \(0.493768\pi\)
\(660\) 14.7227 52.6264i 0.573079 2.04848i
\(661\) −5.91229 −0.229961 −0.114981 0.993368i \(-0.536681\pi\)
−0.114981 + 0.993368i \(0.536681\pi\)
\(662\) −5.35254 8.17786i −0.208032 0.317841i
\(663\) 0.600118 0.600118i 0.0233066 0.0233066i
\(664\) 36.4942 + 25.9196i 1.41625 + 1.00588i
\(665\) −12.8188 + 1.79240i −0.497091 + 0.0695065i
\(666\) 91.1189 + 19.0268i 3.53079 + 0.737274i
\(667\) 2.55271 + 2.55271i 0.0988412 + 0.0988412i
\(668\) −40.4512 + 15.8614i −1.56510 + 0.613696i
\(669\) 1.87085i 0.0723312i
\(670\) 23.4310 20.4872i 0.905219 0.791490i
\(671\) 15.0209i 0.579876i
\(672\) 19.1192 + 4.75744i 0.737540 + 0.183522i
\(673\) 22.2258 + 22.2258i 0.856742 + 0.856742i 0.990953 0.134211i \(-0.0428498\pi\)
−0.134211 + 0.990953i \(0.542850\pi\)
\(674\) 1.35705 6.49889i 0.0522717 0.250328i
\(675\) −17.5587 + 31.5724i −0.675836 + 1.21522i
\(676\) 1.83288 + 0.800354i 0.0704952 + 0.0307829i
\(677\) 13.0165 13.0165i 0.500263 0.500263i −0.411256 0.911520i \(-0.634910\pi\)
0.911520 + 0.411256i \(0.134910\pi\)
\(678\) 30.2974 19.8301i 1.16357 0.761571i
\(679\) −9.31969 −0.357657
\(680\) −1.75709 + 0.556572i −0.0673814 + 0.0213436i
\(681\) −72.8771 −2.79266
\(682\) 25.1676 16.4726i 0.963719 0.630769i
\(683\) −5.53879 + 5.53879i −0.211936 + 0.211936i −0.805089 0.593153i \(-0.797883\pi\)
0.593153 + 0.805089i \(0.297883\pi\)
\(684\) 48.6234 + 21.2322i 1.85916 + 0.811832i
\(685\) 0.458004 + 3.27552i 0.0174994 + 0.125151i
\(686\) −4.34556 + 20.8108i −0.165914 + 0.794558i
\(687\) 5.80196 + 5.80196i 0.221359 + 0.221359i
\(688\) 18.3768 + 0.699062i 0.700609 + 0.0266515i
\(689\) 0.100983i 0.00384715i
\(690\) 5.05958 + 0.339141i 0.192615 + 0.0129109i
\(691\) 24.6693i 0.938466i −0.883074 0.469233i \(-0.844530\pi\)
0.883074 0.469233i \(-0.155470\pi\)
\(692\) −18.6887 + 7.32806i −0.710437 + 0.278571i
\(693\) 19.4487 + 19.4487i 0.738795 + 0.738795i
\(694\) 0.584334 + 0.122017i 0.0221810 + 0.00463169i
\(695\) −5.82863 + 7.72359i −0.221092 + 0.292972i
\(696\) −31.2708 + 44.0285i −1.18532 + 1.66890i
\(697\) 1.15640 1.15640i 0.0438016 0.0438016i
\(698\) 22.0575 + 33.7006i 0.834890 + 1.27559i
\(699\) −45.4325 −1.71841
\(700\) −7.25243 9.50968i −0.274116 0.359432i
\(701\) −10.8183 −0.408603 −0.204302 0.978908i \(-0.565492\pi\)
−0.204302 + 0.978908i \(0.565492\pi\)
\(702\) −5.59587 8.54964i −0.211203 0.322685i
\(703\) −41.0993 + 41.0993i −1.55009 + 1.55009i
\(704\) −11.0570 31.6940i −0.416727 1.19451i
\(705\) 49.4363 65.5087i 1.86188 2.46720i
\(706\) 24.1834 + 5.04982i 0.910156 + 0.190052i
\(707\) 5.37393 + 5.37393i 0.202107 + 0.202107i
\(708\) 23.2904 + 59.3973i 0.875307 + 2.23229i
\(709\) 26.0040i 0.976601i −0.872676 0.488300i \(-0.837617\pi\)
0.872676 0.488300i \(-0.162383\pi\)
\(710\) −14.5491 0.975215i −0.546016 0.0365991i
\(711\) 12.0095i 0.450392i
\(712\) −41.8587 + 7.09199i −1.56872 + 0.265784i
\(713\) 1.97366 + 1.97366i 0.0739142 + 0.0739142i
\(714\) 0.293408 1.40512i 0.0109805 0.0525855i
\(715\) −1.29926 9.29197i −0.0485897 0.347500i
\(716\) 9.73798 22.3008i 0.363925 0.833418i
\(717\) 0.903206 0.903206i 0.0337308 0.0337308i
\(718\) 33.7007 22.0577i 1.25770 0.823184i
\(719\) 30.3758 1.13283 0.566413 0.824122i \(-0.308331\pi\)
0.566413 + 0.824122i \(0.308331\pi\)
\(720\) 4.93829 + 48.7745i 0.184039 + 1.81772i
\(721\) 4.96783 0.185012
\(722\) −5.23736 + 3.42794i −0.194914 + 0.127575i
\(723\) −13.3497 + 13.3497i −0.496482 + 0.496482i
\(724\) 10.4577 23.9489i 0.388656 0.890053i
\(725\) 31.5238 8.99152i 1.17076 0.333937i
\(726\) 5.56098 26.6314i 0.206387 0.988383i
\(727\) 0.0125971 + 0.0125971i 0.000467201 + 0.000467201i 0.707340 0.706873i \(-0.249895\pi\)
−0.706873 + 0.707340i \(0.749895\pi\)
\(728\) 3.33515 0.565064i 0.123609 0.0209427i
\(729\) 37.9200i 1.40444i
\(730\) −8.67122 + 7.58179i −0.320936 + 0.280615i
\(731\) 1.33983i 0.0495555i
\(732\) 7.61163 + 19.4119i 0.281334 + 0.717483i
\(733\) 24.1323 + 24.1323i 0.891347 + 0.891347i 0.994650 0.103303i \(-0.0329411\pi\)
−0.103303 + 0.994650i \(0.532941\pi\)
\(734\) −30.7663 6.42440i −1.13560 0.237129i
\(735\) −35.9199 + 5.02256i −1.32493 + 0.185260i
\(736\) 2.66920 1.60552i 0.0983882 0.0591804i
\(737\) 29.2022 29.2022i 1.07568 1.07568i
\(738\) −23.8214 36.3955i −0.876879 1.33974i
\(739\) −1.06565 −0.0392006 −0.0196003 0.999808i \(-0.506239\pi\)
−0.0196003 + 0.999808i \(0.506239\pi\)
\(740\) −51.7192 14.4689i −1.90123 0.531886i
\(741\) 14.0953 0.517804
\(742\) −0.0935354 0.142908i −0.00343379 0.00524631i
\(743\) 1.75392 1.75392i 0.0643452 0.0643452i −0.674202 0.738547i \(-0.735512\pi\)
0.738547 + 0.674202i \(0.235512\pi\)
\(744\) −24.1775 + 34.0413i −0.886388 + 1.24801i
\(745\) 0.636776 + 0.480545i 0.0233297 + 0.0176058i
\(746\) −9.55256 1.99470i −0.349744 0.0730311i
\(747\) −61.3358 61.3358i −2.24416 2.24416i
\(748\) −2.27682 + 0.892767i −0.0832487 + 0.0326428i
\(749\) 9.31671i 0.340425i
\(750\) 25.0213 38.6548i 0.913649 1.41147i
\(751\) 10.4197i 0.380220i −0.981763 0.190110i \(-0.939115\pi\)
0.981763 0.190110i \(-0.0608845\pi\)
\(752\) 1.91629 50.3751i 0.0698801 1.83699i
\(753\) −35.7735 35.7735i −1.30366 1.30366i
\(754\) −1.89521 + 9.07611i −0.0690195 + 0.330533i
\(755\) 2.61281 + 1.97177i 0.0950899 + 0.0717599i
\(756\) −15.8382 6.91600i −0.576029 0.251532i
\(757\) 1.88156 1.88156i 0.0683863 0.0683863i −0.672086 0.740473i \(-0.734602\pi\)
0.740473 + 0.672086i \(0.234602\pi\)
\(758\) 0.394198 0.258008i 0.0143179 0.00937129i
\(759\) 6.72845 0.244227
\(760\) −27.1712 14.0986i −0.985602 0.511412i
\(761\) 45.0253 1.63216 0.816082 0.577935i \(-0.196141\pi\)
0.816082 + 0.577935i \(0.196141\pi\)
\(762\) −29.9018 + 19.5712i −1.08323 + 0.708989i
\(763\) 6.93678 6.93678i 0.251128 0.251128i
\(764\) −25.5487 11.1562i −0.924319 0.403619i
\(765\) 3.53728 0.494606i 0.127891 0.0178825i
\(766\) 3.56064 17.0518i 0.128651 0.616106i
\(767\) 7.74558 + 7.74558i 0.279677 + 0.279677i
\(768\) 30.3497 + 35.3559i 1.09515 + 1.27580i
\(769\) 40.0379i 1.44380i 0.691996 + 0.721902i \(0.256732\pi\)
−0.691996 + 0.721902i \(0.743268\pi\)
\(770\) −10.4453 11.9462i −0.376424 0.430513i
\(771\) 53.0722i 1.91135i
\(772\) 12.0219 4.71395i 0.432679 0.169659i
\(773\) 12.8017 + 12.8017i 0.460444 + 0.460444i 0.898801 0.438357i \(-0.144439\pi\)
−0.438357 + 0.898801i \(0.644439\pi\)
\(774\) −34.8846 7.28435i −1.25390 0.261831i
\(775\) 24.3730 6.95191i 0.875505 0.249720i