Properties

Label 260.2.o.a.183.11
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 183.11
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.774482 + 1.18329i) q^{2} +(-2.05925 + 2.05925i) q^{3} +(-0.800354 - 1.83288i) q^{4} +(1.34695 - 1.78486i) q^{5} +(-0.841839 - 4.03155i) q^{6} +(-0.845670 - 0.845670i) q^{7} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +O(q^{10})\) \(q+(-0.774482 + 1.18329i) 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} +(2.78869 + 0.472478i) q^{8} -5.48103i q^{9} +(1.06882 + 2.97618i) q^{10} -4.19592i q^{11} +(5.42248 + 2.12622i) 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} +(6.48565 + 4.24496i) q^{18} +4.84005 q^{19} +(-4.34946 - 1.04027i) q^{20} +3.48290 q^{21} +(4.96499 + 3.24967i) 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} +(-0.873173 + 2.22684i) q^{28} +6.55621i q^{29} +(-8.32966 - 3.92773i) q^{30} -5.06902i q^{31} +(-1.36594 - 5.48946i) 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} +(-3.74853 + 5.72719i) q^{38} +2.91222 q^{39} +(4.59953 - 4.34101i) q^{40} -5.61170 q^{41} +(-2.69744 + 4.12128i) 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} +(-0.442809 - 11.6405i) q^{48} -5.56968i q^{49} +(6.75170 + 2.10107i) q^{50} -0.848694i q^{51} +(-0.730103 + 1.86197i) 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} +(-7.75790 - 5.07767i) q^{58} +10.9539 q^{59} +(11.0988 - 6.81446i) q^{60} -3.57989 q^{61} +(5.99812 + 3.92586i) 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} +(0.542626 + 0.212770i) q^{68} -1.60357i q^{69} +(1.61299 - 3.42073i) q^{70} -4.61114i q^{71} +(2.58966 - 15.2849i) 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} +(-2.25546 + 3.44600i) q^{78} -2.19111 q^{79} +(1.57442 + 8.80461i) q^{80} -4.59860 q^{81} +(4.34616 - 6.64027i) 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} +(1.98248 - 11.7011i) q^{88} +15.0102i q^{89} +(16.3125 - 5.85823i) q^{90} +1.19596i q^{91} +(1.02527 + 0.402020i) 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} +(6.59056 + 4.31362i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.774482 + 1.18329i −0.547642 + 0.836713i
\(3\) −2.05925 + 2.05925i −1.18891 + 1.18891i −0.211540 + 0.977369i \(0.567848\pi\)
−0.977369 + 0.211540i \(0.932152\pi\)
\(4\) −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 0.528993 0.848626i \(-0.322570\pi\)
−0.848626 + 0.528993i \(0.822570\pi\)
\(8\) 2.78869 + 0.472478i 0.985949 + 0.167046i
\(9\) 5.48103i 1.82701i
\(10\) 1.06882 + 2.97618i 0.337990 + 0.941150i
\(11\) 4.19592i 1.26512i −0.774512 0.632559i \(-0.782005\pi\)
0.774512 0.632559i \(-0.217995\pi\)
\(12\) 5.42248 + 2.12622i 1.56534 + 0.613787i
\(13\) −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 \(0.261252\pi\)
\(18\) 6.48565 + 4.24496i 1.52868 + 1.00055i
\(19\) 4.84005 1.11038 0.555192 0.831722i \(-0.312645\pi\)
0.555192 + 0.831722i \(0.312645\pi\)
\(20\) −4.34946 1.04027i −0.972570 0.232612i
\(21\) 3.48290 0.760030
\(22\) 4.96499 + 3.24967i 1.05854 + 0.692831i
\(23\) −0.389358 + 0.389358i −0.0811867 + 0.0811867i −0.746534 0.665347i \(-0.768283\pi\)
0.665347 + 0.746534i \(0.268283\pi\)
\(24\) −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
\(28\) −0.873173 + 2.22684i −0.165014 + 0.420834i
\(29\) 6.55621i 1.21746i 0.793379 + 0.608728i \(0.208320\pi\)
−0.793379 + 0.608728i \(0.791680\pi\)
\(30\) −8.32966 3.92773i −1.52078 0.717101i
\(31\) 5.06902i 0.910423i −0.890383 0.455211i \(-0.849564\pi\)
0.890383 0.455211i \(-0.150436\pi\)
\(32\) −1.36594 5.48946i −0.241467 0.970409i
\(33\) 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 \(-0.198849\pi\)
\(38\) −3.74853 + 5.72719i −0.608093 + 0.929073i
\(39\) 2.91222 0.466329
\(40\) 4.59953 4.34101i 0.727249 0.686374i
\(41\) −5.61170 −0.876400 −0.438200 0.898877i \(-0.644384\pi\)
−0.438200 + 0.898877i \(0.644384\pi\)
\(42\) −2.69744 + 4.12128i −0.416224 + 0.635927i
\(43\) 3.25094 3.25094i 0.495763 0.495763i −0.414353 0.910116i \(-0.635992\pi\)
0.910116 + 0.414353i \(0.135992\pi\)
\(44\) −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 \(-0.878869\pi\)
−0.371427 0.928462i \(-0.621131\pi\)
\(48\) −0.442809 11.6405i −0.0639140 1.68016i
\(49\) 5.56968i 0.795669i
\(50\) 6.75170 + 2.10107i 0.954835 + 0.297136i
\(51\) 0.848694i 0.118841i
\(52\) −0.730103 + 1.86197i −0.101247 + 0.258209i
\(53\) 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
\(58\) −7.75790 5.07767i −1.01866 0.666730i
\(59\) 10.9539 1.42608 0.713038 0.701125i \(-0.247319\pi\)
0.713038 + 0.701125i \(0.247319\pi\)
\(60\) 11.0988 6.81446i 1.43285 0.879743i
\(61\) −3.57989 −0.458357 −0.229179 0.973384i \(-0.573604\pi\)
−0.229179 + 0.973384i \(0.573604\pi\)
\(62\) 5.99812 + 3.92586i 0.761762 + 0.498585i
\(63\) −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 0.990165 0.139907i \(-0.0446802\pi\)
−0.139907 + 0.990165i \(0.544680\pi\)
\(68\) 0.542626 + 0.212770i 0.0658031 + 0.0258022i
\(69\) 1.60357i 0.193047i
\(70\) 1.61299 3.42073i 0.192790 0.408856i
\(71\) 4.61114i 0.547241i −0.961838 0.273621i \(-0.911779\pi\)
0.961838 0.273621i \(-0.0882213\pi\)
\(72\) 2.58966 15.2849i 0.305195 1.80134i
\(73\) 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
\(78\) −2.25546 + 3.44600i −0.255381 + 0.390183i
\(79\) −2.19111 −0.246519 −0.123259 0.992374i \(-0.539335\pi\)
−0.123259 + 0.992374i \(0.539335\pi\)
\(80\) 1.57442 + 8.80461i 0.176026 + 0.984386i
\(81\) −4.59860 −0.510955
\(82\) 4.34616 6.64027i 0.479953 0.733295i
\(83\) −11.1906 + 11.1906i −1.22832 + 1.22832i −0.263725 + 0.964598i \(0.584951\pi\)
−0.964598 + 0.263725i \(0.915049\pi\)
\(84\) −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
\(88\) 1.98248 11.7011i 0.211333 1.24734i
\(89\) 15.0102i 1.59108i 0.605902 + 0.795540i \(0.292812\pi\)
−0.605902 + 0.795540i \(0.707188\pi\)
\(90\) 16.3125 5.85823i 1.71949 0.617512i
\(91\) 1.19596i 0.125371i
\(92\) 1.02527 + 0.402020i 0.106892 + 0.0419135i
\(93\) 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 \(0.379467\pi\)
\(98\) 6.59056 + 4.31362i 0.665747 + 0.435742i
\(99\) −22.9980 −2.31138
\(100\) −7.71525 + 6.36199i −0.771525 + 0.636199i
\(101\) 6.35464 0.632310 0.316155 0.948708i \(-0.397608\pi\)
0.316155 + 0.948708i \(0.397608\pi\)
\(102\) 1.00425 + 0.657299i 0.0994358 + 0.0650823i
\(103\) −2.93721 + 2.93721i −0.289412 + 0.289412i −0.836848 0.547436i \(-0.815604\pi\)
0.547436 + 0.836848i \(0.315604\pi\)
\(104\) −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 0.388798 0.921323i \(-0.372890\pi\)
−0.921323 + 0.388798i \(0.872890\pi\)
\(108\) 5.27522 13.4533i 0.507608 1.29455i
\(109\) 8.20270i 0.785676i −0.919608 0.392838i \(-0.871493\pi\)
0.919608 0.392838i \(-0.128507\pi\)
\(110\) 12.4878 4.48468i 1.19066 0.427598i
\(111\) 34.9722i 3.31942i
\(112\) 4.78038 0.181848i 0.451703 0.0171830i
\(113\) −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
\(118\) −8.48360 + 12.9617i −0.780979 + 1.19322i
\(119\) 0.348532 0.0319499
\(120\) −0.532352 + 18.4108i −0.0485969 + 1.68067i
\(121\) −6.60574 −0.600522
\(122\) 2.77256 4.23605i 0.251016 0.383514i
\(123\) 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 0.380375 0.924832i \(-0.375795\pi\)
−0.924832 + 0.380375i \(0.875795\pi\)
\(128\) −8.96826 + 6.89712i −0.792690 + 0.609625i
\(129\) 13.3890i 1.17884i
\(130\) 1.34870 2.86024i 0.118289 0.250860i
\(131\) 2.46129i 0.215043i −0.994203 0.107522i \(-0.965708\pi\)
0.994203 0.107522i \(-0.0342915\pi\)
\(132\) 8.92145 22.7523i 0.776513 1.98033i
\(133\) −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 \(0.270126\pi\)
\(138\) 1.89749 + 1.24194i 0.161525 + 0.105721i
\(139\) 4.32728 0.367035 0.183517 0.983016i \(-0.441252\pi\)
0.183517 + 0.983016i \(0.441252\pi\)
\(140\) 2.79849 + 4.55794i 0.236515 + 0.385216i
\(141\) 36.7024 3.09090
\(142\) 5.45632 + 3.57124i 0.457884 + 0.299692i
\(143\) −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
\(148\) −22.3601 8.76765i −1.83799 0.720696i
\(149\) 0.356765i 0.0292274i 0.999893 + 0.0146137i \(0.00465185\pi\)
−0.999893 + 0.0146137i \(0.995348\pi\)
\(150\) −18.2301 + 9.57683i −1.48848 + 0.781945i
\(151\) 1.46387i 0.119128i −0.998224 0.0595642i \(-0.981029\pi\)
0.998224 0.0595642i \(-0.0189711\pi\)
\(152\) 13.4974 + 2.28682i 1.09478 + 0.185485i
\(153\) 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 \(0.218272\pi\)
\(158\) 1.69697 2.59272i 0.135004 0.206265i
\(159\) −0.294085 −0.0233225
\(160\) −11.6378 4.95601i −0.920047 0.391807i
\(161\) 0.658536 0.0518999
\(162\) 3.56153 5.44148i 0.279821 0.427523i
\(163\) 11.1949 11.1949i 0.876851 0.876851i −0.116357 0.993207i \(-0.537122\pi\)
0.993207 + 0.116357i \(0.0371216\pi\)
\(164\) 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 \(0.0677745\pi\)
0.211315 + 0.977418i \(0.432226\pi\)
\(168\) 9.71270 + 1.64559i 0.749351 + 0.126960i
\(169\) 1.00000i 0.0769231i
\(170\) −0.833547 0.393047i −0.0639301 0.0301453i
\(171\) 26.5285i 2.02868i
\(172\) −8.56047 3.35666i −0.652730 0.255943i
\(173\) −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
\(178\) −17.7614 11.6251i −1.33128 0.871341i
\(179\) −12.1671 −0.909411 −0.454705 0.890642i \(-0.650255\pi\)
−0.454705 + 0.890642i \(0.650255\pi\)
\(180\) −5.70176 + 23.8395i −0.424984 + 1.77689i
\(181\) 13.0663 0.971209 0.485605 0.874179i \(-0.338599\pi\)
0.485605 + 0.874179i \(0.338599\pi\)
\(182\) −1.41517 0.926249i −0.104899 0.0686581i
\(183\) 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
\(188\) −9.20141 + 23.4663i −0.671082 + 1.71145i
\(189\) 8.64117i 0.628552i
\(190\) 5.17314 + 14.4048i 0.375299 + 1.04504i
\(191\) 13.9391i 1.00860i 0.863529 + 0.504300i \(0.168249\pi\)
−0.863529 + 0.504300i \(0.831751\pi\)
\(192\) −20.9811 + 10.1281i −1.51418 + 0.730933i
\(193\) 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 \(0.486330\pi\)
\(198\) 17.8115 27.2133i 1.26581 1.93396i
\(199\) 8.20575 0.581690 0.290845 0.956770i \(-0.406064\pi\)
0.290845 + 0.956770i \(0.406064\pi\)
\(200\) −1.55276 14.0566i −0.109797 0.993954i
\(201\) −28.6634 −2.02176
\(202\) −4.92156 + 7.51939i −0.346279 + 0.529062i
\(203\) 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
\(208\) 3.99711 0.152052i 0.277150 0.0105429i
\(209\) 20.3085i 1.40477i
\(210\) 3.72259 + 10.3657i 0.256883 + 0.715302i
\(211\) 9.25421i 0.637086i 0.947908 + 0.318543i \(0.103194\pi\)
−0.947908 + 0.318543i \(0.896806\pi\)
\(212\) 0.0737280 0.188028i 0.00506366 0.0129138i
\(213\) 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
\(218\) 9.70618 + 6.35285i 0.657385 + 0.430269i
\(219\) −10.6076 −0.716794
\(220\) −4.36490 + 18.2500i −0.294281 + 1.23041i
\(221\) 0.291425 0.0196034
\(222\) −41.3823 27.0854i −2.77740 1.81785i
\(223\) 0.454255 0.454255i 0.0304191 0.0304191i −0.691734 0.722153i \(-0.743153\pi\)
0.722153 + 0.691734i \(0.243153\pi\)
\(224\) −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 \(0.0619279\pi\)
0.193327 + 0.981134i \(0.438072\pi\)
\(228\) 26.2451 + 10.2910i 1.73812 + 0.681539i
\(229\) 2.81751i 0.186186i 0.995657 + 0.0930932i \(0.0296755\pi\)
−0.995657 + 0.0930932i \(0.970325\pi\)
\(230\) −1.57495 0.742644i −0.103849 0.0489685i
\(231\) 14.6139i 0.961527i
\(232\) −3.09766 + 18.2832i −0.203371 + 1.20035i
\(233\) −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
\(238\) −0.269932 + 0.412415i −0.0174971 + 0.0267329i
\(239\) −0.438609 −0.0283713 −0.0141856 0.999899i \(-0.504516\pi\)
−0.0141856 + 0.999899i \(0.504516\pi\)
\(240\) −21.3730 14.8888i −1.37962 0.961066i
\(241\) −6.48281 −0.417594 −0.208797 0.977959i \(-0.566955\pi\)
−0.208797 + 0.977959i \(0.566955\pi\)
\(242\) 5.11603 7.81652i 0.328871 0.502465i
\(243\) −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
\(248\) 2.39500 14.1359i 0.152083 0.897630i
\(249\) 46.0883i 2.92073i
\(250\) 12.8443 9.22082i 0.812346 0.583176i
\(251\) 17.3721i 1.09652i 0.836309 + 0.548259i \(0.184709\pi\)
−0.836309 + 0.548259i \(0.815291\pi\)
\(252\) 12.2054 + 4.78589i 0.768868 + 0.301482i
\(253\) 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 \(0.0575666\pi\)
\(258\) −15.8431 10.3695i −0.986347 0.645579i
\(259\) −14.3620 −0.892412
\(260\) 2.33995 + 3.81112i 0.145118 + 0.236356i
\(261\) 35.9348 2.22431
\(262\) 2.91242 + 1.90622i 0.179930 + 0.117767i
\(263\) 17.7105 17.7105i 1.09208 1.09208i 0.0967688 0.995307i \(-0.469149\pi\)
0.995307 0.0967688i \(-0.0308507\pi\)
\(264\) 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
\(268\) 7.18600 18.3264i 0.438955 1.11946i
\(269\) 9.90226i 0.603752i −0.953347 0.301876i \(-0.902387\pi\)
0.953347 0.301876i \(-0.0976128\pi\)
\(270\) −9.74481 + 20.6661i −0.593050 + 1.25770i
\(271\) 23.2048i 1.40959i 0.709409 + 0.704797i \(0.248962\pi\)
−0.709409 + 0.704797i \(0.751038\pi\)
\(272\) −0.0443118 1.16486i −0.00268680 0.0706299i
\(273\) −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 \(0.0330992\pi\)
\(278\) −3.35140 + 5.12043i −0.201004 + 0.307103i
\(279\) −27.7834 −1.66335
\(280\) −7.56075 0.218620i −0.451841 0.0130651i
\(281\) −0.130168 −0.00776516 −0.00388258 0.999992i \(-0.501236\pi\)
−0.00388258 + 0.999992i \(0.501236\pi\)
\(282\) −28.4254 + 43.4296i −1.69271 + 2.58620i
\(283\) −10.2040 + 10.2040i −0.606564 + 0.606564i −0.942047 0.335482i \(-0.891101\pi\)
0.335482 + 0.942047i \(0.391101\pi\)
\(284\) −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
\(288\) −30.0879 + 7.48678i −1.77295 + 0.441163i
\(289\) 16.9151i 0.995004i
\(290\) −19.5124 + 7.00740i −1.14581 + 0.411489i
\(291\) 22.6939i 1.33034i
\(292\) 2.65935 6.78213i 0.155627 0.396894i
\(293\) 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
\(298\) −0.422157 0.276309i −0.0244549 0.0160061i
\(299\) 0.550635 0.0318440
\(300\) 2.78670 28.9886i 0.160890 1.67366i
\(301\) −5.49844 −0.316925
\(302\) 1.73219 + 1.13374i 0.0996763 + 0.0652397i
\(303\) −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 \(0.183744\pi\)
0.545721 + 0.837967i \(0.316256\pi\)
\(308\) 9.34366 + 3.66376i 0.532404 + 0.208762i
\(309\) 12.0969i 0.688170i
\(310\) 15.0863 5.41787i 0.856844 0.307714i
\(311\) 11.5941i 0.657443i 0.944427 + 0.328721i \(0.106618\pi\)
−0.944427 + 0.328721i \(0.893382\pi\)
\(312\) 8.12127 + 1.37596i 0.459776 + 0.0778984i
\(313\) 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 \(0.260961\pi\)
\(318\) 0.227764 0.347988i 0.0127724 0.0195142i
\(319\) 27.5093 1.54023
\(320\) 14.8777 9.93253i 0.831687 0.555245i
\(321\) 22.6867 1.26625
\(322\) −0.510025 + 0.779240i −0.0284226 + 0.0434253i
\(323\) −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
\(328\) −15.6493 2.65140i −0.864086 0.146399i
\(329\) 15.0725i 0.830976i
\(330\) −16.4804 + 34.9506i −0.907217 + 1.92397i
\(331\) 6.91111i 0.379869i −0.981797 0.189935i \(-0.939172\pi\)
0.981797 0.189935i \(-0.0608276\pi\)
\(332\) 29.4673 + 11.5545i 1.61723 + 0.634135i
\(333\) −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 \(0.290812\pi\)
\(338\) −1.18329 0.774482i −0.0643625 0.0421263i
\(339\) 25.6044 1.39064
\(340\) 1.11066 0.681921i 0.0602338 0.0369824i
\(341\) −21.2692 −1.15179
\(342\) 31.3909 + 20.5458i 1.69743 + 1.11099i
\(343\) −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 0.715073 0.699050i \(-0.246394\pi\)
−0.699050 + 0.715073i \(0.746394\pi\)
\(348\) −13.9399 + 35.5509i −0.747259 + 1.90573i
\(349\) 28.4804i 1.52452i −0.647271 0.762260i \(-0.724090\pi\)
0.647271 0.762260i \(-0.275910\pi\)
\(350\) −3.93291 7.48653i −0.210223 0.400172i
\(351\) 7.22531i 0.385658i
\(352\) −23.0333 + 5.73139i −1.22768 + 0.305484i
\(353\) −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
\(358\) 9.42319 14.3972i 0.498031 0.760916i
\(359\) 28.4805 1.50314 0.751572 0.659651i \(-0.229296\pi\)
0.751572 + 0.659651i \(0.229296\pi\)
\(360\) −23.7932 25.2101i −1.25401 1.32869i
\(361\) 4.42610 0.232953
\(362\) −10.1196 + 15.4612i −0.531875 + 0.812624i
\(363\) 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 0.165840 0.986153i \(-0.446966\pi\)
−0.986153 + 0.165840i \(0.946966\pi\)
\(368\) −0.0837251 2.20095i −0.00436447 0.114732i
\(369\) 30.7579i 1.60119i
\(370\) 34.3481 + 16.1963i 1.78567 + 0.842006i
\(371\) 0.120772i 0.00627015i
\(372\) 10.7778 27.4867i 0.558805 1.42512i
\(373\) 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
\(378\) 10.2250 + 6.69243i 0.525918 + 0.344221i
\(379\) 0.333137 0.0171121 0.00855604 0.999963i \(-0.497276\pi\)
0.00855604 + 0.999963i \(0.497276\pi\)
\(380\) −21.0516 5.03497i −1.07993 0.258288i
\(381\) 25.2700 1.29462
\(382\) −16.4940 10.7956i −0.843909 0.552351i
\(383\) 8.70979 8.70979i 0.445050 0.445050i −0.448655 0.893705i \(-0.648097\pi\)
0.893705 + 0.448655i \(0.148097\pi\)
\(384\) 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
\(388\) 14.5097 + 5.68944i 0.736619 + 0.288837i
\(389\) 15.7397i 0.798036i 0.916943 + 0.399018i \(0.130649\pi\)
−0.916943 + 0.399018i \(0.869351\pi\)
\(390\) 3.11264 + 8.66728i 0.157615 + 0.438885i
\(391\) 0.160469i 0.00811526i
\(392\) 2.63155 15.5321i 0.132913 0.784489i
\(393\) 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 \(0.0368478\pi\)
\(398\) −6.35521 + 9.70979i −0.318558 + 0.486708i
\(399\) 16.8574 0.843925
\(400\) 17.8357 + 9.04925i 0.891784 + 0.452462i
\(401\) 1.23996 0.0619204 0.0309602 0.999521i \(-0.490143\pi\)
0.0309602 + 0.999521i \(0.490143\pi\)
\(402\) 22.1993 33.9171i 1.10720 1.69163i
\(403\) −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
\(408\) 0.400989 2.36674i 0.0198519 0.117171i
\(409\) 13.6662i 0.675749i 0.941191 + 0.337875i \(0.109708\pi\)
−0.941191 + 0.337875i \(0.890292\pi\)
\(410\) −5.99789 16.7014i −0.296215 0.824824i
\(411\) 4.30749i 0.212473i
\(412\) 7.73436 + 3.03274i 0.381045 + 0.149412i
\(413\) −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
\(418\) 24.0308 + 15.7285i 1.17539 + 0.769309i
\(419\) 30.4429 1.48723 0.743617 0.668605i \(-0.233108\pi\)
0.743617 + 0.668605i \(0.233108\pi\)
\(420\) −15.1487 3.62316i −0.739182 0.176792i
\(421\) −30.0550 −1.46479 −0.732396 0.680878i \(-0.761598\pi\)
−0.732396 + 0.680878i \(0.761598\pi\)
\(422\) −10.9504 7.16722i −0.533058 0.348895i
\(423\) −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
\(428\) −5.68762 + 14.5051i −0.274922 + 0.701130i
\(429\) 12.2194i 0.589960i
\(430\) 13.1500 + 6.20070i 0.634151 + 0.299024i
\(431\) 29.7403i 1.43254i −0.697822 0.716271i \(-0.745847\pi\)
0.697822 0.716271i \(-0.254153\pi\)
\(432\) −28.8803 + 1.09862i −1.38951 + 0.0528575i
\(433\) 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
\(438\) 8.21539 12.5519i 0.392546 0.599751i
\(439\) 18.8341 0.898901 0.449450 0.893305i \(-0.351620\pi\)
0.449450 + 0.893305i \(0.351620\pi\)
\(440\) −18.2145 19.2992i −0.868343 0.920055i
\(441\) −30.5276 −1.45370
\(442\) −0.225704 + 0.344841i −0.0107356 + 0.0164024i
\(443\) 12.6851 12.6851i 0.602687 0.602687i −0.338338 0.941025i \(-0.609865\pi\)
0.941025 + 0.338338i \(0.109865\pi\)
\(444\) 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
\(448\) −4.15930 8.61629i −0.196508 0.407082i
\(449\) 15.8773i 0.749297i 0.927167 + 0.374648i \(0.122237\pi\)
−0.927167 + 0.374648i \(0.877763\pi\)
\(450\) 11.5160 37.0063i 0.542870 1.74449i
\(451\) 23.5462i 1.10875i
\(452\) −6.41909 + 16.3706i −0.301929 + 0.770006i
\(453\) 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 \(0.0905099\pi\)
\(458\) −3.33394 2.18211i −0.155785 0.101963i
\(459\) −2.10564 −0.0982827
\(460\) 2.09853 1.28846i 0.0978446 0.0600747i
\(461\) 6.30338 0.293578 0.146789 0.989168i \(-0.453106\pi\)
0.146789 + 0.989168i \(0.453106\pi\)
\(462\) 17.2926 + 11.3182i 0.804522 + 0.526572i
\(463\) 20.4903 20.4903i 0.952265 0.952265i −0.0466465 0.998911i \(-0.514853\pi\)
0.998911 + 0.0466465i \(0.0148534\pi\)
\(464\) −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 0.392456 0.919771i \(-0.371626\pi\)
−0.919771 + 0.392456i \(0.871626\pi\)
\(468\) 10.2055 + 4.00172i 0.471751 + 0.184979i
\(469\) 11.7712i 0.543542i
\(470\) 16.9976 36.0473i 0.784040 1.66274i
\(471\) 7.26233i 0.334630i
\(472\) 30.5470 + 5.17547i 1.40604 + 0.238221i
\(473\) −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
\(478\) 0.339695 0.519002i 0.0155373 0.0237386i
\(479\) −27.1128 −1.23881 −0.619407 0.785070i \(-0.712627\pi\)
−0.619407 + 0.785070i \(0.712627\pi\)
\(480\) 34.1708 13.7594i 1.55968 0.628029i
\(481\) −12.0088 −0.547554
\(482\) 5.02082 7.67105i 0.228692 0.349407i
\(483\) −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 0.555695 0.831386i \(-0.312452\pi\)
−0.831386 + 0.555695i \(0.812452\pi\)
\(488\) −9.98317 1.69142i −0.451917 0.0765668i
\(489\) 46.1061i 2.08499i
\(490\) 16.5764 5.95299i 0.748844 0.268929i
\(491\) 28.1664i 1.27113i 0.772046 + 0.635567i \(0.219233\pi\)
−0.772046 + 0.635567i \(0.780767\pi\)
\(492\) −30.4293 11.9317i −1.37186 0.537923i
\(493\) −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
\(498\) 54.5359 + 35.6946i 2.44381 + 1.59951i
\(499\) −19.3231 −0.865023 −0.432511 0.901629i \(-0.642372\pi\)
−0.432511 + 0.901629i \(0.642372\pi\)
\(500\) 0.963208 + 22.3399i 0.0430760 + 0.999072i
\(501\) −63.2677 −2.82659
\(502\) −20.5563 13.4544i −0.917471 0.600499i
\(503\) −5.39116 + 5.39116i −0.240380 + 0.240380i −0.817007 0.576627i \(-0.804368\pi\)
0.576627 + 0.817007i \(0.304368\pi\)
\(504\) −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
\(508\) −6.33527 + 16.1568i −0.281082 + 0.716841i
\(509\) 14.1691i 0.628033i 0.949417 + 0.314017i \(0.101675\pi\)
−0.949417 + 0.314017i \(0.898325\pi\)
\(510\) 2.52586 0.907101i 0.111847 0.0401671i
\(511\) 4.35620i 0.192707i
\(512\) 19.8193 + 10.9176i 0.875900 + 0.482493i
\(513\) 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
\(518\) 11.1231 16.9944i 0.488722 0.746693i
\(519\) 29.2300 1.28306
\(520\) −6.32191 0.182799i −0.277234 0.00801628i
\(521\) 18.4923 0.810164 0.405082 0.914280i \(-0.367243\pi\)
0.405082 + 0.914280i \(0.367243\pi\)
\(522\) −27.8308 + 42.5213i −1.21812 + 1.86111i
\(523\) −3.63846 + 3.63846i −0.159099 + 0.159099i −0.782167 0.623069i \(-0.785886\pi\)
0.623069 + 0.782167i \(0.285886\pi\)
\(524\) −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
\(528\) −48.8425 + 1.85799i −2.12559 + 0.0808587i
\(529\) 22.6968i 0.986817i
\(530\) −0.136196 + 0.288836i −0.00591599 + 0.0125462i
\(531\) 60.0387i 2.60546i
\(532\) −4.22620 + 10.7780i −0.183229 + 0.467287i
\(533\) 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
\(538\) 11.7173 + 7.66913i 0.505167 + 0.330640i
\(539\) −23.3699 −1.00661
\(540\) −16.9069 27.5365i −0.727556 1.18498i
\(541\) 12.8284 0.551535 0.275767 0.961224i \(-0.411068\pi\)
0.275767 + 0.961224i \(0.411068\pi\)
\(542\) −27.4581 17.9717i −1.17943 0.771952i
\(543\) −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 0.959645 0.281214i \(-0.0907370\pi\)
−0.281214 + 0.959645i \(0.590737\pi\)
\(548\) 2.75406 + 1.07990i 0.117648 + 0.0461310i
\(549\) 19.6215i 0.837423i
\(550\) 8.81591 28.3296i 0.375912 1.20798i
\(551\) 31.7324i 1.35184i
\(552\) 0.757651 4.47185i 0.0322478 0.190335i
\(553\) 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 \(0.293131\pi\)
\(558\) 21.5178 32.8759i 0.910920 1.39175i
\(559\) −4.59752 −0.194454
\(560\) 6.11435 8.77724i 0.258379 0.370906i
\(561\) −3.56105 −0.150348
\(562\) 0.100813 0.154026i 0.00425252 0.00649721i
\(563\) 7.11349 7.11349i 0.299798 0.299798i −0.541137 0.840935i \(-0.682006\pi\)
0.840935 + 0.541137i \(0.182006\pi\)
\(564\) −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
\(568\) 2.17866 12.8590i 0.0914146 0.539552i
\(569\) 18.4963i 0.775404i 0.921785 + 0.387702i \(0.126731\pi\)
−0.921785 + 0.387702i \(0.873269\pi\)
\(570\) −40.3160 19.0104i −1.68865 0.796258i
\(571\) 31.1985i 1.30562i −0.757523 0.652808i \(-0.773591\pi\)
0.757523 0.652808i \(-0.226409\pi\)
\(572\) 7.81270 + 3.06345i 0.326665 + 0.128089i
\(573\) −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 \(0.0317837\pi\)
\(578\) −20.0154 13.1004i −0.832533 0.544906i
\(579\) −18.8029 −0.781423
\(580\) 6.82023 28.5160i 0.283195 1.18406i
\(581\) 18.9270 0.785226
\(582\) 26.8535 + 17.5760i 1.11311 + 0.728550i
\(583\) 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 0.749638 0.661848i \(-0.230228\pi\)
−0.661848 + 0.749638i \(0.730228\pi\)
\(588\) 11.8424 30.2015i 0.488371 1.24549i
\(589\) 24.5343i 1.01092i
\(590\) 11.7077 + 32.6007i 0.482000 + 1.34215i
\(591\) 55.2708i 2.27354i
\(592\) 1.82596 + 48.0004i 0.0750465 + 1.97281i
\(593\) −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
\(598\) −0.426457 + 0.651561i −0.0174391 + 0.0266443i
\(599\) −31.8821 −1.30267 −0.651334 0.758791i \(-0.725790\pi\)
−0.651334 + 0.758791i \(0.725790\pi\)
\(600\) 32.1437 + 25.7486i 1.31226 + 1.05118i
\(601\) −36.5855 −1.49236 −0.746178 0.665747i \(-0.768113\pi\)
−0.746178 + 0.665747i \(0.768113\pi\)
\(602\) 4.25845 6.50626i 0.173561 0.265175i
\(603\) 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 0.505818 0.862640i \(-0.331191\pi\)
−0.862640 + 0.505818i \(0.831191\pi\)
\(608\) −6.61124 26.5693i −0.268121 1.07753i
\(609\) 22.8346i 0.925304i
\(610\) −3.82625 10.6544i −0.154920 0.431383i
\(611\) 12.6029i 0.509858i
\(612\) 1.16620 2.97415i 0.0471409 0.120223i
\(613\) 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 \(0.100331\pi\)
\(618\) 14.3142 + 9.36885i 0.575801 + 0.376870i
\(619\) −6.47284 −0.260165 −0.130083 0.991503i \(-0.541524\pi\)
−0.130083 + 0.991503i \(0.541524\pi\)
\(620\) −5.27315 + 22.0475i −0.211775 + 0.885449i
\(621\) −3.97850 −0.159652
\(622\) −13.7192 8.97945i −0.550091 0.360043i
\(623\) 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
\(628\) −4.64328 1.82069i −0.185287 0.0726533i
\(629\) 3.49966i 0.139541i
\(630\) −18.7491 8.84087i −0.746984 0.352229i
\(631\) 38.0648i 1.51533i −0.652641 0.757667i \(-0.726339\pi\)
0.652641 0.757667i \(-0.273661\pi\)
\(632\) −6.11031 1.03525i −0.243055 0.0411800i
\(633\) −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
\(638\) −21.3055 + 32.5515i −0.843492 + 1.28873i
\(639\) −25.2738 −0.999816
\(640\) 0.230590 + 25.2972i 0.00911488 + 0.999958i
\(641\) 2.47864 0.0979003 0.0489501 0.998801i \(-0.484412\pi\)
0.0489501 + 0.998801i \(0.484412\pi\)
\(642\) −17.5704 + 26.8449i −0.693450 + 1.05949i
\(643\) −22.2075 + 22.2075i −0.875780 + 0.875780i −0.993095 0.117315i \(-0.962571\pi\)
0.117315 + 0.993095i \(0.462571\pi\)
\(644\) −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 0.977861 0.209258i \(-0.0671048\pi\)
−0.209258 + 0.977861i \(0.567105\pi\)
\(648\) −12.8240 2.17274i −0.503776 0.0853531i
\(649\) 45.9617i 1.80415i
\(650\) −3.28850 6.25986i −0.128985 0.245532i
\(651\) 17.6549i 0.691948i
\(652\) −29.4787 11.5590i −1.15447 0.452683i
\(653\) 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
\(658\) −17.8352 11.6734i −0.695288 0.455077i
\(659\) −1.00511 −0.0391535 −0.0195767 0.999808i \(-0.506232\pi\)
−0.0195767 + 0.999808i \(0.506232\pi\)
\(660\) −28.5929 46.5698i −1.11298 1.81273i
\(661\) −5.91229 −0.229961 −0.114981 0.993368i \(-0.536681\pi\)
−0.114981 + 0.993368i \(0.536681\pi\)
\(662\) 8.17786 + 5.35254i 0.317841 + 0.208032i
\(663\) −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
\(668\) 15.8614 40.4512i 0.613696 1.56510i
\(669\) 1.87085i 0.0723312i
\(670\) −13.2746 + 28.1518i −0.512841 + 1.08760i
\(671\) 15.0209i 0.579876i
\(672\) −4.75744 19.1192i −0.183522 0.737540i
\(673\) 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 \(0.134910\pi\)
\(678\) −19.8301 + 30.2974i −0.761571 + 1.16357i
\(679\) 9.31969 0.357657
\(680\) −0.0532723 + 1.84236i −0.00204290 + 0.0706515i
\(681\) −72.8771 −2.79266
\(682\) 16.4726 25.1676i 0.630769 0.963719i
\(683\) 5.53879 5.53879i 0.211936 0.211936i −0.593153 0.805089i \(-0.702117\pi\)
0.805089 + 0.593153i \(0.202117\pi\)
\(684\) −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
\(688\) 0.699062 + 18.3768i 0.0266515 + 0.700609i
\(689\) 0.100983i 0.00384715i
\(690\) 4.77251 1.71393i 0.181686 0.0652481i
\(691\) 24.6693i 0.938466i 0.883074 + 0.469233i \(0.155470\pi\)
−0.883074 + 0.469233i \(0.844530\pi\)
\(692\) −7.32806 + 18.6887i −0.278571 + 0.710437i
\(693\) 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
\(698\) 33.7006 + 22.0575i 1.27559 + 0.834890i
\(699\) 45.4325 1.71841
\(700\) 11.9047 + 1.14441i 0.449956 + 0.0432546i
\(701\) −10.8183 −0.408603 −0.204302 0.978908i \(-0.565492\pi\)
−0.204302 + 0.978908i \(0.565492\pi\)
\(702\) 8.54964 + 5.59587i 0.322685 + 0.211203i
\(703\) 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
\(708\) 59.3973 + 23.2904i 2.23229 + 0.875307i
\(709\) 26.0040i 0.976601i −0.872676 0.488300i \(-0.837617\pi\)
0.872676 0.488300i \(-0.162383\pi\)
\(710\) 13.7236 4.92847i 0.515036 0.184962i
\(711\) 12.0095i 0.450392i
\(712\) −7.09199 + 41.8587i −0.265784 + 1.56872i
\(713\) 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
\(718\) −22.0577 + 33.7007i −0.823184 + 1.25770i
\(719\) −30.3758 −1.13283 −0.566413 0.824122i \(-0.691669\pi\)
−0.566413 + 0.824122i \(0.691669\pi\)
\(720\) 48.2583 8.62947i 1.79848 0.321601i
\(721\) 4.96783 0.185012
\(722\) −3.42794 + 5.23736i −0.127575 + 0.194914i
\(723\) 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 0.706873 0.707340i \(-0.250105\pi\)
−0.707340 + 0.706873i \(0.750105\pi\)
\(728\) −0.565064 + 3.33515i −0.0209427 + 0.123609i
\(729\) 37.9200i 1.40444i
\(730\) −4.91257 + 10.4183i −0.181823 + 0.385597i
\(731\) 1.33983i 0.0495555i
\(732\) −19.4119 7.61163i −0.717483 0.281334i
\(733\) 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
\(738\) −36.3955 23.8214i −1.33974 0.876879i
\(739\) 1.06565 0.0392006 0.0196003 0.999808i \(-0.493761\pi\)
0.0196003 + 0.999808i \(0.493761\pi\)
\(740\) −45.7669 + 28.1000i −1.68242 + 1.03298i
\(741\) 14.0953 0.517804
\(742\) 0.142908 + 0.0935354i 0.00524631 + 0.00343379i
\(743\) −1.75392 + 1.75392i −0.0643452 + 0.0643452i −0.738547 0.674202i \(-0.764488\pi\)
0.674202 + 0.738547i \(0.264488\pi\)
\(744\) 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
\(748\) 0.892767 2.27682i 0.0326428 0.0832487i
\(749\) 9.31671i 0.340425i
\(750\) −7.46170 + 45.4377i −0.272463 + 1.65915i
\(751\) 10.4197i 0.380220i 0.981763 + 0.190110i \(0.0608845\pi\)
−0.981763 + 0.190110i \(0.939115\pi\)
\(752\) 50.3751 1.91629i 1.83699 0.0698801i
\(753\) −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 \(0.234602\pi\)
\(758\) −0.258008 + 0.394198i −0.00937129 + 0.0143179i
\(759\) −6.72845 −0.244227
\(760\) 22.2619 21.0107i 0.807526 0.762138i
\(761\) 45.0253 1.63216 0.816082 0.577935i \(-0.196141\pi\)
0.816082 + 0.577935i \(0.196141\pi\)
\(762\) −19.5712 + 29.9018i −0.708989 + 1.08323i
\(763\) −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
\(768\) 35.3559 + 30.3497i 1.27580 + 1.09515i
\(769\) 40.0379i 1.44380i 0.691996 + 0.721902i \(0.256732\pi\)
−0.691996 + 0.721902i \(0.743268\pi\)
\(770\) −14.3531 6.76800i −0.517251 0.243902i
\(771\) 53.0722i 1.91135i
\(772\) 4.71395 12.0219i 0.169659 0.432679i
\(773\) 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