Properties

Label 503.2.c.a.2.15
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.15
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.604817 - 0.744661i) q^{2} +(1.49016 - 1.28975i) q^{3} +(0.221392 - 1.05673i) q^{4} +(-1.03109 - 3.25639i) q^{5} +(-1.86170 - 0.329604i) q^{6} +(-0.182067 + 0.528642i) q^{7} +(-2.62653 + 1.35281i) q^{8} +(0.126808 - 0.874904i) q^{9} +O(q^{10})\) \(q+(-0.604817 - 0.744661i) q^{2} +(1.49016 - 1.28975i) q^{3} +(0.221392 - 1.05673i) q^{4} +(-1.03109 - 3.25639i) q^{5} +(-1.86170 - 0.329604i) q^{6} +(-0.182067 + 0.528642i) q^{7} +(-2.62653 + 1.35281i) q^{8} +(0.126808 - 0.874904i) q^{9} +(-1.80128 + 2.73733i) q^{10} +(3.75292 - 1.21421i) q^{11} +(-1.03301 - 1.86025i) q^{12} +(3.71827 - 1.25462i) q^{13} +(0.503777 - 0.184154i) q^{14} +(-5.73642 - 3.52270i) q^{15} +(0.618189 + 0.270920i) q^{16} +(-6.48961 - 3.24039i) q^{17} +(-0.728203 + 0.434728i) q^{18} +(2.74376 + 6.15567i) q^{19} +(-3.66941 + 0.368652i) q^{20} +(0.410507 + 1.02259i) q^{21} +(-3.17400 - 2.06028i) q^{22} +(1.88530 - 6.51663i) q^{23} +(-2.16917 + 5.40347i) q^{24} +(-5.45213 + 3.83743i) q^{25} +(-3.18314 - 2.01003i) q^{26} +(2.24855 + 3.51197i) q^{27} +(0.518326 + 0.309434i) q^{28} +(-0.719777 + 6.02483i) q^{29} +(0.846273 + 6.40228i) q^{30} +(0.317364 + 3.89232i) q^{31} +(1.39881 + 5.07203i) q^{32} +(4.02644 - 6.64970i) q^{33} +(1.51203 + 6.79240i) q^{34} +(1.90919 + 0.0478020i) q^{35} +(-0.896466 - 0.327700i) q^{36} +(-4.87200 - 6.15431i) q^{37} +(2.92442 - 5.76623i) q^{38} +(3.92268 - 6.66522i) q^{39} +(7.11345 + 7.15811i) q^{40} +(-1.46958 + 7.47978i) q^{41} +(0.513198 - 0.924166i) q^{42} +(0.662269 - 3.60899i) q^{43} +(-0.452226 - 4.23465i) q^{44} +(-2.97978 + 0.489170i) q^{45} +(-5.99294 + 2.53746i) q^{46} +(6.47276 - 0.243160i) q^{47} +(1.27062 - 0.393594i) q^{48} +(5.26916 + 4.11790i) q^{49} +(6.15512 + 1.73904i) q^{50} +(-13.8499 + 3.54126i) q^{51} +(-0.502601 - 4.20698i) q^{52} +(-1.22737 + 2.75362i) q^{53} +(1.25527 - 3.79850i) q^{54} +(-7.82354 - 10.9690i) q^{55} +(-0.236947 - 1.63479i) q^{56} +(12.0279 + 5.63420i) q^{57} +(4.92179 - 3.10793i) q^{58} +(2.74319 - 6.59344i) q^{59} +(-4.99255 + 5.28197i) q^{60} +(-5.03231 - 8.31090i) q^{61} +(2.70651 - 2.59047i) q^{62} +(0.439424 + 0.226328i) q^{63} +(3.71476 - 5.20829i) q^{64} +(-7.91939 - 10.8145i) q^{65} +(-7.38704 + 1.02352i) q^{66} +(-6.22519 + 3.82285i) q^{67} +(-4.86097 + 6.14039i) q^{68} +(-5.59543 - 12.1424i) q^{69} +(-1.11912 - 1.45061i) q^{70} +(-1.06458 - 6.74883i) q^{71} +(0.850511 + 2.46951i) q^{72} +(8.35396 + 7.99578i) q^{73} +(-1.63621 + 7.35022i) q^{74} +(-3.17524 + 12.7503i) q^{75} +(7.11235 - 1.53661i) q^{76} +(-0.0414029 + 2.20502i) q^{77} +(-7.33584 + 1.11017i) q^{78} +(-0.0817102 - 1.44920i) q^{79} +(0.244810 - 2.29240i) q^{80} +(10.4233 + 3.08633i) q^{81} +(6.45873 - 3.42956i) q^{82} +(-2.41625 - 4.61998i) q^{83} +(1.17148 - 0.207404i) q^{84} +(-3.86057 + 24.4738i) q^{85} +(-3.08802 + 1.68961i) q^{86} +(6.69794 + 9.90632i) q^{87} +(-8.21456 + 8.26613i) q^{88} +(-3.52484 - 13.4347i) q^{89} +(2.16649 + 1.92307i) q^{90} +(-0.0137309 + 2.19406i) q^{91} +(-6.46895 - 3.43499i) q^{92} +(5.49305 + 5.39088i) q^{93} +(-4.09591 - 4.67295i) q^{94} +(17.2162 - 15.2818i) q^{95} +(8.62611 + 5.75403i) q^{96} +(-1.04799 - 4.44478i) q^{97} +(-0.120439 - 6.41432i) q^{98} +(-0.586412 - 3.43742i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.604817 0.744661i −0.427670 0.526555i 0.516379 0.856360i \(-0.327280\pi\)
−0.944049 + 0.329806i \(0.893017\pi\)
\(3\) 1.49016 1.28975i 0.860347 0.744638i −0.108026 0.994148i \(-0.534453\pi\)
0.968372 + 0.249510i \(0.0802696\pi\)
\(4\) 0.221392 1.05673i 0.110696 0.528367i
\(5\) −1.03109 3.25639i −0.461119 1.45630i −0.845925 0.533302i \(-0.820951\pi\)
0.384806 0.922997i \(-0.374268\pi\)
\(6\) −1.86170 0.329604i −0.760038 0.134560i
\(7\) −0.182067 + 0.528642i −0.0688150 + 0.199808i −0.974611 0.223907i \(-0.928119\pi\)
0.905796 + 0.423715i \(0.139274\pi\)
\(8\) −2.62653 + 1.35281i −0.928617 + 0.478290i
\(9\) 0.126808 0.874904i 0.0422695 0.291635i
\(10\) −1.80128 + 2.73733i −0.569615 + 0.865621i
\(11\) 3.75292 1.21421i 1.13155 0.366097i 0.318286 0.947995i \(-0.396893\pi\)
0.813262 + 0.581897i \(0.197690\pi\)
\(12\) −1.03301 1.86025i −0.298205 0.537007i
\(13\) 3.71827 1.25462i 1.03126 0.347968i 0.247406 0.968912i \(-0.420422\pi\)
0.783855 + 0.620944i \(0.213250\pi\)
\(14\) 0.503777 0.184154i 0.134640 0.0492171i
\(15\) −5.73642 3.52270i −1.48114 0.909556i
\(16\) 0.618189 + 0.270920i 0.154547 + 0.0677300i
\(17\) −6.48961 3.24039i −1.57396 0.785910i −0.574492 0.818510i \(-0.694800\pi\)
−0.999468 + 0.0326003i \(0.989621\pi\)
\(18\) −0.728203 + 0.434728i −0.171639 + 0.102466i
\(19\) 2.74376 + 6.15567i 0.629462 + 1.41221i 0.894103 + 0.447861i \(0.147814\pi\)
−0.264641 + 0.964347i \(0.585254\pi\)
\(20\) −3.66941 + 0.368652i −0.820504 + 0.0824332i
\(21\) 0.410507 + 1.02259i 0.0895799 + 0.223146i
\(22\) −3.17400 2.06028i −0.676700 0.439253i
\(23\) 1.88530 6.51663i 0.393112 1.35881i −0.482542 0.875873i \(-0.660286\pi\)
0.875654 0.482939i \(-0.160431\pi\)
\(24\) −2.16917 + 5.40347i −0.442780 + 1.10298i
\(25\) −5.45213 + 3.83743i −1.09043 + 0.767486i
\(26\) −3.18314 2.01003i −0.624264 0.394200i
\(27\) 2.24855 + 3.51197i 0.432733 + 0.675879i
\(28\) 0.518326 + 0.309434i 0.0979544 + 0.0584775i
\(29\) −0.719777 + 6.02483i −0.133659 + 1.11878i 0.753542 + 0.657400i \(0.228344\pi\)
−0.887201 + 0.461383i \(0.847353\pi\)
\(30\) 0.846273 + 6.40228i 0.154508 + 1.16889i
\(31\) 0.317364 + 3.89232i 0.0570003 + 0.699081i 0.961890 + 0.273436i \(0.0881601\pi\)
−0.904890 + 0.425646i \(0.860047\pi\)
\(32\) 1.39881 + 5.07203i 0.247278 + 0.896616i
\(33\) 4.02644 6.64970i 0.700914 1.15756i
\(34\) 1.51203 + 6.79240i 0.259312 + 1.16489i
\(35\) 1.90919 + 0.0478020i 0.322712 + 0.00808002i
\(36\) −0.896466 0.327700i −0.149411 0.0546166i
\(37\) −4.87200 6.15431i −0.800952 1.01176i −0.999498 0.0316714i \(-0.989917\pi\)
0.198547 0.980091i \(-0.436378\pi\)
\(38\) 2.92442 5.76623i 0.474403 0.935406i
\(39\) 3.92268 6.66522i 0.628132 1.06729i
\(40\) 7.11345 + 7.15811i 1.12474 + 1.13180i
\(41\) −1.46958 + 7.47978i −0.229510 + 1.16814i 0.673720 + 0.738987i \(0.264696\pi\)
−0.903230 + 0.429158i \(0.858810\pi\)
\(42\) 0.513198 0.924166i 0.0791882 0.142602i
\(43\) 0.662269 3.60899i 0.100995 0.550365i −0.893800 0.448467i \(-0.851970\pi\)
0.994795 0.101899i \(-0.0324918\pi\)
\(44\) −0.452226 4.23465i −0.0681757 0.638398i
\(45\) −2.97978 + 0.489170i −0.444199 + 0.0729211i
\(46\) −5.99294 + 2.53746i −0.883611 + 0.374128i
\(47\) 6.47276 0.243160i 0.944149 0.0354685i 0.438988 0.898493i \(-0.355337\pi\)
0.505162 + 0.863025i \(0.331433\pi\)
\(48\) 1.27062 0.393594i 0.183398 0.0568104i
\(49\) 5.26916 + 4.11790i 0.752737 + 0.588271i
\(50\) 6.15512 + 1.73904i 0.870466 + 0.245938i
\(51\) −13.8499 + 3.54126i −1.93937 + 0.495876i
\(52\) −0.502601 4.20698i −0.0696982 0.583403i
\(53\) −1.22737 + 2.75362i −0.168592 + 0.378238i −0.977878 0.209176i \(-0.932922\pi\)
0.809286 + 0.587414i \(0.199854\pi\)
\(54\) 1.25527 3.79850i 0.170820 0.516911i
\(55\) −7.82354 10.9690i −1.05493 1.47906i
\(56\) −0.236947 1.63479i −0.0316634 0.218459i
\(57\) 12.0279 + 5.63420i 1.59314 + 0.746267i
\(58\) 4.92179 3.10793i 0.646263 0.408091i
\(59\) 2.74319 6.59344i 0.357132 0.858393i −0.638891 0.769298i \(-0.720606\pi\)
0.996023 0.0890954i \(-0.0283976\pi\)
\(60\) −4.99255 + 5.28197i −0.644535 + 0.681900i
\(61\) −5.03231 8.31090i −0.644321 1.06410i −0.991970 0.126476i \(-0.959633\pi\)
0.347648 0.937625i \(-0.386980\pi\)
\(62\) 2.70651 2.59047i 0.343727 0.328990i
\(63\) 0.439424 + 0.226328i 0.0553622 + 0.0285146i
\(64\) 3.71476 5.20829i 0.464346 0.651036i
\(65\) −7.91939 10.8145i −0.982280 1.34137i
\(66\) −7.38704 + 1.02352i −0.909281 + 0.125986i
\(67\) −6.22519 + 3.82285i −0.760528 + 0.467035i −0.848571 0.529082i \(-0.822537\pi\)
0.0880424 + 0.996117i \(0.471939\pi\)
\(68\) −4.86097 + 6.14039i −0.589480 + 0.744631i
\(69\) −5.59543 12.1424i −0.673610 1.46178i
\(70\) −1.11912 1.45061i −0.133760 0.173381i
\(71\) −1.06458 6.74883i −0.126343 0.800939i −0.966136 0.258033i \(-0.916926\pi\)
0.839794 0.542906i \(-0.182676\pi\)
\(72\) 0.850511 + 2.46951i 0.100234 + 0.291034i
\(73\) 8.35396 + 7.99578i 0.977757 + 0.935836i 0.997952 0.0639603i \(-0.0203731\pi\)
−0.0201955 + 0.999796i \(0.506429\pi\)
\(74\) −1.63621 + 7.35022i −0.190205 + 0.854446i
\(75\) −3.17524 + 12.7503i −0.366645 + 1.47228i
\(76\) 7.11235 1.53661i 0.815843 0.176261i
\(77\) −0.0414029 + 2.20502i −0.00471830 + 0.251285i
\(78\) −7.33584 + 1.11017i −0.830620 + 0.125702i
\(79\) −0.0817102 1.44920i −0.00919311 0.163048i −0.999677 0.0254182i \(-0.991908\pi\)
0.990484 0.137629i \(-0.0439483\pi\)
\(80\) 0.244810 2.29240i 0.0273706 0.256299i
\(81\) 10.4233 + 3.08633i 1.15814 + 0.342926i
\(82\) 6.45873 3.42956i 0.713247 0.378731i
\(83\) −2.41625 4.61998i −0.265218 0.507109i 0.716467 0.697621i \(-0.245758\pi\)
−0.981685 + 0.190512i \(0.938985\pi\)
\(84\) 1.17148 0.207404i 0.127819 0.0226296i
\(85\) −3.86057 + 24.4738i −0.418738 + 2.65456i
\(86\) −3.08802 + 1.68961i −0.332990 + 0.182195i
\(87\) 6.69794 + 9.90632i 0.718095 + 1.06207i
\(88\) −8.21456 + 8.26613i −0.875675 + 0.881172i
\(89\) −3.52484 13.4347i −0.373632 1.42408i −0.841488 0.540275i \(-0.818320\pi\)
0.467856 0.883805i \(-0.345027\pi\)
\(90\) 2.16649 + 1.92307i 0.228368 + 0.202709i
\(91\) −0.0137309 + 2.19406i −0.00143939 + 0.230000i
\(92\) −6.46895 3.43499i −0.674435 0.358122i
\(93\) 5.49305 + 5.39088i 0.569603 + 0.559008i
\(94\) −4.09591 4.67295i −0.422461 0.481978i
\(95\) 17.2162 15.2818i 1.76634 1.56788i
\(96\) 8.62611 + 5.75403i 0.880399 + 0.587268i
\(97\) −1.04799 4.44478i −0.106408 0.451299i −0.999997 0.00241396i \(-0.999232\pi\)
0.893589 0.448885i \(-0.148179\pi\)
\(98\) −0.120439 6.41432i −0.0121662 0.647944i
\(99\) −0.586412 3.43742i −0.0589367 0.345474i
\(100\) 2.84808 + 6.61102i 0.284808 + 0.661102i
\(101\) 10.7494 4.23731i 1.06960 0.421628i 0.234723 0.972062i \(-0.424582\pi\)
0.834878 + 0.550435i \(0.185538\pi\)
\(102\) 11.0137 + 8.17164i 1.09052 + 0.809113i
\(103\) 18.2741 3.70930i 1.80060 0.365488i 0.821713 0.569902i \(-0.193019\pi\)
0.978885 + 0.204414i \(0.0655288\pi\)
\(104\) −8.06886 + 8.32538i −0.791217 + 0.816371i
\(105\) 2.90666 2.39115i 0.283661 0.233352i
\(106\) 2.79284 0.751463i 0.271265 0.0729885i
\(107\) 9.65489 + 0.362701i 0.933373 + 0.0350636i 0.499881 0.866094i \(-0.333377\pi\)
0.433492 + 0.901158i \(0.357281\pi\)
\(108\) 4.20903 1.59859i 0.405014 0.153825i
\(109\) −5.51280 5.83238i −0.528030 0.558641i 0.406900 0.913473i \(-0.366610\pi\)
−0.934930 + 0.354832i \(0.884538\pi\)
\(110\) −3.43638 + 12.4601i −0.327646 + 1.18803i
\(111\) −15.1976 2.88727i −1.44249 0.274048i
\(112\) −0.255772 + 0.277475i −0.0241681 + 0.0262189i
\(113\) −4.98644 10.1448i −0.469085 0.954345i −0.994622 0.103574i \(-0.966972\pi\)
0.525537 0.850771i \(-0.323865\pi\)
\(114\) −3.07914 12.3644i −0.288388 1.15803i
\(115\) −23.1646 + 0.579991i −2.16011 + 0.0540845i
\(116\) 6.20729 + 2.09446i 0.576332 + 0.194466i
\(117\) −0.626162 3.41222i −0.0578887 0.315460i
\(118\) −6.56901 + 1.94508i −0.604726 + 0.179059i
\(119\) 2.89455 2.84071i 0.265343 0.260408i
\(120\) 19.8324 + 1.49218i 1.81044 + 0.136216i
\(121\) 3.69478 2.67031i 0.335889 0.242755i
\(122\) −3.14517 + 8.77394i −0.284751 + 0.794355i
\(123\) 7.45713 + 13.0415i 0.672387 + 1.17591i
\(124\) 4.18341 + 0.526360i 0.375681 + 0.0472685i
\(125\) 4.53053 + 3.45019i 0.405223 + 0.308595i
\(126\) −0.0972336 0.464109i −0.00866226 0.0413461i
\(127\) −4.87533 + 2.74737i −0.432615 + 0.243790i −0.691874 0.722018i \(-0.743215\pi\)
0.259259 + 0.965808i \(0.416522\pi\)
\(128\) 4.37700 0.274278i 0.386876 0.0242429i
\(129\) −3.66780 6.23215i −0.322932 0.548710i
\(130\) −3.26334 + 12.4380i −0.286214 + 1.09089i
\(131\) −12.6715 + 8.45250i −1.10712 + 0.738499i −0.967793 0.251749i \(-0.918994\pi\)
−0.139322 + 0.990247i \(0.544492\pi\)
\(132\) −6.13554 5.72707i −0.534030 0.498477i
\(133\) −3.75370 + 0.329721i −0.325487 + 0.0285905i
\(134\) 6.61183 + 2.32354i 0.571175 + 0.200723i
\(135\) 9.11787 10.9433i 0.784741 0.941849i
\(136\) 21.4287 0.268223i 1.83750 0.0229999i
\(137\) −3.02646 7.82073i −0.258568 0.668170i 0.741428 0.671032i \(-0.234149\pi\)
−0.999996 + 0.00286193i \(0.999089\pi\)
\(138\) −5.65777 + 11.5106i −0.481622 + 0.979851i
\(139\) −3.10441 0.670699i −0.263312 0.0568880i 0.0775947 0.996985i \(-0.475276\pi\)
−0.340907 + 0.940097i \(0.610734\pi\)
\(140\) 0.473194 2.00692i 0.0399922 0.169616i
\(141\) 9.33186 8.71060i 0.785885 0.733565i
\(142\) −4.38172 + 4.87456i −0.367705 + 0.409064i
\(143\) 12.4310 9.22322i 1.03953 0.771285i
\(144\) 0.315420 0.506501i 0.0262850 0.0422084i
\(145\) 20.3613 3.86828i 1.69092 0.321244i
\(146\) 0.901531 11.0569i 0.0746113 0.915072i
\(147\) 13.1630 0.659559i 1.08566 0.0543995i
\(148\) −7.58209 + 3.78589i −0.623244 + 0.311198i
\(149\) −3.86695 + 6.03973i −0.316793 + 0.494794i −0.963414 0.268017i \(-0.913632\pi\)
0.646621 + 0.762811i \(0.276181\pi\)
\(150\) 11.4151 5.34712i 0.932037 0.436590i
\(151\) 12.3811 + 18.8151i 1.00756 + 1.53115i 0.838028 + 0.545626i \(0.183708\pi\)
0.169534 + 0.985524i \(0.445774\pi\)
\(152\) −15.5340 12.4563i −1.25997 1.01034i
\(153\) −3.65797 + 5.26687i −0.295729 + 0.425802i
\(154\) 1.66703 1.30280i 0.134333 0.104983i
\(155\) 12.3477 5.04680i 0.991788 0.405369i
\(156\) −6.17491 5.62086i −0.494389 0.450029i
\(157\) −5.14410 + 10.8051i −0.410544 + 0.862342i 0.588024 + 0.808843i \(0.299906\pi\)
−0.998568 + 0.0534990i \(0.982963\pi\)
\(158\) −1.02974 + 0.937347i −0.0819219 + 0.0745713i
\(159\) 1.72250 + 5.68633i 0.136603 + 0.450956i
\(160\) 15.0742 9.78481i 1.19172 0.773557i
\(161\) 3.10172 + 2.18311i 0.244450 + 0.172054i
\(162\) −4.00590 9.62847i −0.314733 0.756484i
\(163\) 13.4040 + 5.09084i 1.04988 + 0.398746i 0.818734 0.574173i \(-0.194676\pi\)
0.231147 + 0.972919i \(0.425752\pi\)
\(164\) 7.57878 + 3.20892i 0.591803 + 0.250574i
\(165\) −25.8056 6.25520i −2.00897 0.486966i
\(166\) −1.97893 + 4.59353i −0.153595 + 0.356527i
\(167\) −0.137492 + 4.39258i −0.0106395 + 0.339908i 0.979636 + 0.200784i \(0.0643490\pi\)
−0.990275 + 0.139124i \(0.955571\pi\)
\(168\) −2.46157 2.13051i −0.189914 0.164372i
\(169\) 1.90902 1.45380i 0.146848 0.111831i
\(170\) 20.5596 11.9274i 1.57685 0.914787i
\(171\) 5.73356 1.61994i 0.438456 0.123880i
\(172\) −3.66712 1.49884i −0.279615 0.114286i
\(173\) 5.30947 + 11.1525i 0.403672 + 0.847908i 0.999012 + 0.0444344i \(0.0141486\pi\)
−0.595341 + 0.803473i \(0.702983\pi\)
\(174\) 3.32582 10.9792i 0.252130 0.832332i
\(175\) −1.03597 3.58090i −0.0783122 0.270690i
\(176\) 2.64897 + 0.266132i 0.199673 + 0.0200605i
\(177\) −4.41610 13.3633i −0.331934 1.00445i
\(178\) −7.87245 + 10.7504i −0.590065 + 0.805775i
\(179\) −1.72073 + 3.19218i −0.128613 + 0.238594i −0.936442 0.350823i \(-0.885902\pi\)
0.807828 + 0.589418i \(0.200643\pi\)
\(180\) −0.142777 + 3.25713i −0.0106419 + 0.242772i
\(181\) 0.794388 + 11.5215i 0.0590464 + 0.856383i 0.930590 + 0.366064i \(0.119295\pi\)
−0.871543 + 0.490319i \(0.836880\pi\)
\(182\) 1.64213 1.31678i 0.121723 0.0976061i
\(183\) −18.2180 5.89417i −1.34671 0.435710i
\(184\) 3.86396 + 19.6665i 0.284855 + 1.44984i
\(185\) −15.0173 + 22.2108i −1.10410 + 1.63297i
\(186\) 0.692085 7.35095i 0.0507461 0.538998i
\(187\) −28.2895 4.28120i −2.06873 0.313072i
\(188\) 1.17606 6.89382i 0.0857732 0.502783i
\(189\) −2.26596 + 0.549262i −0.164825 + 0.0399529i
\(190\) −21.7924 3.57751i −1.58099 0.259540i
\(191\) −1.28613 + 22.8105i −0.0930609 + 1.65051i 0.515415 + 0.856940i \(0.327638\pi\)
−0.608476 + 0.793572i \(0.708219\pi\)
\(192\) −1.18179 12.5523i −0.0852883 0.905886i
\(193\) 9.80258 + 5.36348i 0.705605 + 0.386072i 0.792274 0.610165i \(-0.208897\pi\)
−0.0866686 + 0.996237i \(0.527622\pi\)
\(194\) −2.67601 + 3.46868i −0.192126 + 0.249037i
\(195\) −25.7492 5.90131i −1.84394 0.422601i
\(196\) 5.51807 4.65643i 0.394148 0.332602i
\(197\) 27.0587 2.03588i 1.92785 0.145050i 0.944710 0.327907i \(-0.106343\pi\)
0.983140 + 0.182857i \(0.0585345\pi\)
\(198\) −2.20504 + 2.51569i −0.156705 + 0.178782i
\(199\) −0.0826216 13.2021i −0.00585689 0.935869i −0.886669 0.462404i \(-0.846987\pi\)
0.880813 0.473465i \(-0.156997\pi\)
\(200\) 9.12885 17.4548i 0.645507 1.23424i
\(201\) −4.34604 + 13.7256i −0.306546 + 0.968130i
\(202\) −9.65675 5.44183i −0.679447 0.382886i
\(203\) −3.05393 1.47743i −0.214344 0.103695i
\(204\) 0.675921 + 15.4196i 0.0473240 + 1.07959i
\(205\) 25.8723 2.92682i 1.80700 0.204418i
\(206\) −13.8146 11.3645i −0.962512 0.791805i
\(207\) −5.46236 2.47582i −0.379660 0.172081i
\(208\) 2.63849 + 0.231762i 0.182946 + 0.0160698i
\(209\) 17.7714 + 19.7703i 1.22927 + 1.36754i
\(210\) −3.53859 0.718270i −0.244186 0.0495653i
\(211\) −19.1900 + 13.1506i −1.32109 + 0.905326i −0.999141 0.0414302i \(-0.986809\pi\)
−0.321951 + 0.946756i \(0.604338\pi\)
\(212\) 2.63811 + 1.90663i 0.181186 + 0.130948i
\(213\) −10.2907 8.68382i −0.705108 0.595006i
\(214\) −5.56935 7.40899i −0.380713 0.506468i
\(215\) −12.4351 + 1.56460i −0.848068 + 0.106705i
\(216\) −10.6569 6.18243i −0.725109 0.420661i
\(217\) −2.11543 0.540892i −0.143605 0.0367182i
\(218\) −1.00891 + 7.63269i −0.0683322 + 0.516951i
\(219\) 22.7613 + 1.14050i 1.53807 + 0.0770682i
\(220\) −13.3234 + 5.83894i −0.898262 + 0.393661i
\(221\) −28.1955 3.90666i −1.89664 0.262790i
\(222\) 7.04174 + 13.0633i 0.472610 + 0.876754i
\(223\) −9.67015 + 4.67822i −0.647561 + 0.313277i −0.730129 0.683309i \(-0.760540\pi\)
0.0825685 + 0.996585i \(0.473688\pi\)
\(224\) −2.93597 0.183978i −0.196168 0.0122925i
\(225\) 2.66601 + 5.25671i 0.177734 + 0.350447i
\(226\) −4.53857 + 9.84898i −0.301901 + 0.655144i
\(227\) −16.2454 + 3.72319i −1.07824 + 0.247117i −0.725234 0.688502i \(-0.758268\pi\)
−0.353011 + 0.935619i \(0.614842\pi\)
\(228\) 8.61673 11.4630i 0.570657 0.759153i
\(229\) 2.09901 3.67088i 0.138707 0.242579i −0.790236 0.612803i \(-0.790042\pi\)
0.928942 + 0.370224i \(0.120719\pi\)
\(230\) 14.4422 + 16.8990i 0.952293 + 1.11429i
\(231\) 2.78223 + 3.33924i 0.183057 + 0.219706i
\(232\) −6.25992 16.7981i −0.410984 1.10285i
\(233\) −8.00359 0.100181i −0.524333 0.00656305i −0.250088 0.968223i \(-0.580460\pi\)
−0.274244 + 0.961660i \(0.588428\pi\)
\(234\) −2.16224 + 2.53005i −0.141350 + 0.165394i
\(235\) −7.46584 20.8271i −0.487018 1.35861i
\(236\) −6.36019 4.35855i −0.414013 0.283718i
\(237\) −1.99087 2.05416i −0.129321 0.133432i
\(238\) −3.86604 0.437349i −0.250598 0.0283491i
\(239\) 0.529669 7.68208i 0.0342614 0.496913i −0.949067 0.315074i \(-0.897971\pi\)
0.983328 0.181838i \(-0.0582047\pi\)
\(240\) −2.59182 3.73180i −0.167301 0.240887i
\(241\) −4.61983 1.43106i −0.297589 0.0921828i 0.143487 0.989652i \(-0.454168\pi\)
−0.441077 + 0.897469i \(0.645403\pi\)
\(242\) −4.22314 1.13631i −0.271473 0.0730447i
\(243\) 8.11842 3.67968i 0.520797 0.236052i
\(244\) −9.89652 + 3.47785i −0.633560 + 0.222646i
\(245\) 7.97648 21.4044i 0.509598 1.36747i
\(246\) 5.20128 13.4408i 0.331622 0.856951i
\(247\) 17.9250 + 19.4461i 1.14054 + 1.23732i
\(248\) −6.09912 9.79395i −0.387295 0.621916i
\(249\) −9.55923 3.76817i −0.605792 0.238798i
\(250\) −0.170917 5.46045i −0.0108098 0.345349i
\(251\) −13.3935 + 16.4903i −0.845389 + 1.04086i 0.153223 + 0.988192i \(0.451035\pi\)
−0.998612 + 0.0526653i \(0.983228\pi\)
\(252\) 0.336453 0.414247i 0.0211946 0.0260951i
\(253\) −0.837162 26.7456i −0.0526319 1.68148i
\(254\) 4.99454 + 1.96881i 0.313386 + 0.123534i
\(255\) 25.8122 + 41.4492i 1.61642 + 2.59565i
\(256\) −11.5233 12.5011i −0.720207 0.781320i
\(257\) −1.38141 + 3.56974i −0.0861701 + 0.222674i −0.969020 0.246980i \(-0.920562\pi\)
0.882850 + 0.469654i \(0.155621\pi\)
\(258\) −2.42248 + 6.50058i −0.150817 + 0.404708i
\(259\) 4.14046 1.45505i 0.257276 0.0904121i
\(260\) −13.1813 + 5.97445i −0.817470 + 0.370519i
\(261\) 5.17987 + 1.39374i 0.320626 + 0.0862700i
\(262\) 13.9582 + 4.32376i 0.862340 + 0.267123i
\(263\) −1.14594 1.64996i −0.0706616 0.101741i 0.784432 0.620215i \(-0.212955\pi\)
−0.855094 + 0.518474i \(0.826500\pi\)
\(264\) −1.57979 + 22.9126i −0.0972296 + 1.41017i
\(265\) 10.2324 + 1.15754i 0.628569 + 0.0711073i
\(266\) 2.51583 + 2.59581i 0.154256 + 0.159159i
\(267\) −22.5801 15.4738i −1.38188 0.946982i
\(268\) 2.66152 + 7.42472i 0.162578 + 0.453537i
\(269\) −1.23075 + 1.44011i −0.0750402 + 0.0878052i −0.796454 0.604699i \(-0.793293\pi\)
0.721414 + 0.692504i \(0.243493\pi\)
\(270\) −13.6637 0.171028i −0.831546 0.0104084i
\(271\) −11.0401 29.6253i −0.670637 1.79961i −0.596873 0.802336i \(-0.703590\pi\)
−0.0737640 0.997276i \(-0.523501\pi\)
\(272\) −3.13391 3.76133i −0.190021 0.228064i
\(273\) 2.80933 + 3.28722i 0.170028 + 0.198951i
\(274\) −3.99334 + 6.98380i −0.241247 + 0.421907i
\(275\) −15.8020 + 21.0216i −0.952894 + 1.26765i
\(276\) −14.0701 + 3.22464i −0.846919 + 0.194101i
\(277\) −0.386137 + 0.837941i −0.0232007 + 0.0503470i −0.919460 0.393183i \(-0.871374\pi\)
0.896259 + 0.443530i \(0.146274\pi\)
\(278\) 1.37815 + 2.71738i 0.0826562 + 0.162978i
\(279\) 3.44565 + 0.215916i 0.206286 + 0.0129266i
\(280\) −5.07921 + 2.45722i −0.303541 + 0.146847i
\(281\) 2.66231 + 4.93893i 0.158820 + 0.294632i 0.947252 0.320490i \(-0.103848\pi\)
−0.788432 + 0.615122i \(0.789107\pi\)
\(282\) −12.1305 1.68075i −0.722362 0.100087i
\(283\) −14.6036 + 6.40001i −0.868095 + 0.380441i −0.787506 0.616306i \(-0.788628\pi\)
−0.0805888 + 0.996747i \(0.525680\pi\)
\(284\) −7.36741 0.369159i −0.437175 0.0219056i
\(285\) 5.94520 44.9770i 0.352163 2.66421i
\(286\) −14.3867 3.67851i −0.850701 0.217515i
\(287\) −3.68656 2.13871i −0.217611 0.126244i
\(288\) 4.61492 0.580653i 0.271937 0.0342153i
\(289\) 21.4001 + 28.4688i 1.25883 + 1.67464i
\(290\) −15.1954 12.8227i −0.892307 0.752974i
\(291\) −7.29434 5.27180i −0.427602 0.309038i
\(292\) 10.2989 7.05771i 0.602698 0.413021i
\(293\) 27.1063 + 5.50208i 1.58357 + 0.321435i 0.909006 0.416784i \(-0.136843\pi\)
0.674561 + 0.738219i \(0.264333\pi\)
\(294\) −8.45235 9.40305i −0.492951 0.548397i
\(295\) −24.2993 2.13442i −1.41476 0.124271i
\(296\) 21.1220 + 9.57359i 1.22769 + 0.556453i
\(297\) 12.7029 + 10.4499i 0.737095 + 0.606367i
\(298\) 6.83635 0.773366i 0.396019 0.0447999i
\(299\) −1.16583 26.5959i −0.0674219 1.53808i
\(300\) 12.7707 + 6.17819i 0.737315 + 0.356698i
\(301\) 1.78729 + 1.00718i 0.103017 + 0.0580530i
\(302\) 6.52255 20.5994i 0.375330 1.18536i
\(303\) 10.5532 20.1783i 0.606267 1.15921i
\(304\) 0.0284669 + 4.54871i 0.00163269 + 0.260886i
\(305\) −21.8747 + 24.9565i −1.25254 + 1.42900i
\(306\) 6.13444 0.461551i 0.350682 0.0263851i
\(307\) 1.68183 1.41921i 0.0959871 0.0809987i −0.595649 0.803245i \(-0.703105\pi\)
0.691636 + 0.722246i \(0.256890\pi\)
\(308\) 2.32095 + 0.531926i 0.132249 + 0.0303093i
\(309\) 22.4473 29.0965i 1.27698 1.65524i
\(310\) −11.2262 6.14243i −0.637607 0.348867i
\(311\) −1.21878 12.9452i −0.0691106 0.734055i −0.960031 0.279895i \(-0.909700\pi\)
0.890920 0.454160i \(-0.150061\pi\)
\(312\) −1.28627 + 22.8130i −0.0728205 + 1.29153i
\(313\) 5.76054 + 0.945670i 0.325605 + 0.0534524i 0.322578 0.946543i \(-0.395451\pi\)
0.00302750 + 0.999995i \(0.499036\pi\)
\(314\) 11.1574 2.70451i 0.629648 0.152624i
\(315\) 0.283924 1.66430i 0.0159973 0.0937726i
\(316\) −1.54951 0.234495i −0.0871666 0.0131914i
\(317\) −0.332316 + 3.52968i −0.0186647 + 0.198247i 0.981318 + 0.192392i \(0.0616246\pi\)
−0.999983 + 0.00585463i \(0.998136\pi\)
\(318\) 3.19259 4.72187i 0.179032 0.264790i
\(319\) 4.61412 + 23.4847i 0.258341 + 1.31489i
\(320\) −20.7905 6.72647i −1.16222 0.376021i
\(321\) 14.8552 11.9119i 0.829134 0.664858i
\(322\) −0.250291 3.63011i −0.0139482 0.202298i
\(323\) 2.14085 48.8387i 0.119120 2.71746i
\(324\) 5.56906 10.3313i 0.309392 0.573963i
\(325\) −15.4579 + 21.1089i −0.857453 + 1.17091i
\(326\) −4.31601 13.0605i −0.239042 0.723352i
\(327\) −15.7373 1.58107i −0.870275 0.0874334i
\(328\) −6.25881 21.6339i −0.345585 1.19453i
\(329\) −1.04993 + 3.46605i −0.0578847 + 0.191089i
\(330\) 10.9497 + 22.9997i 0.602760 + 1.26609i
\(331\) 27.5198 + 11.2480i 1.51263 + 0.618249i 0.974454 0.224586i \(-0.0721031\pi\)
0.538172 + 0.842835i \(0.319115\pi\)
\(332\) −5.41703 + 1.53051i −0.297298 + 0.0839974i
\(333\) −6.00224 + 3.48211i −0.328921 + 0.190819i
\(334\) 3.35414 2.55432i 0.183530 0.139766i
\(335\) 18.8674 + 16.3299i 1.03084 + 0.892199i
\(336\) −0.0232681 + 0.743365i −0.00126938 + 0.0405539i
\(337\) −1.49904 + 3.47960i −0.0816579 + 0.189546i −0.954325 0.298769i \(-0.903424\pi\)
0.872668 + 0.488315i \(0.162388\pi\)
\(338\) −2.23720 0.542289i −0.121687 0.0294966i
\(339\) −20.5149 8.68619i −1.11422 0.471769i
\(340\) 25.0076 + 9.49790i 1.35623 + 0.515096i
\(341\) 5.91712 + 14.2222i 0.320430 + 0.770177i
\(342\) −4.67406 3.28979i −0.252744 0.177892i
\(343\) −6.41909 + 4.16670i −0.346598 + 0.224981i
\(344\) 3.14280 + 10.3750i 0.169448 + 0.559384i
\(345\) −33.7710 + 30.7408i −1.81817 + 1.65503i
\(346\) 5.09356 10.6990i 0.273832 0.575180i
\(347\) −3.57428 3.25357i −0.191877 0.174661i 0.571524 0.820586i \(-0.306353\pi\)
−0.763401 + 0.645925i \(0.776472\pi\)
\(348\) 11.9512 4.88476i 0.640652 0.261851i
\(349\) 11.4740 8.96703i 0.614188 0.479994i −0.259982 0.965613i \(-0.583717\pi\)
0.874170 + 0.485619i \(0.161406\pi\)
\(350\) −2.03998 + 2.93724i −0.109041 + 0.157002i
\(351\) 12.7669 + 10.2374i 0.681445 + 0.546431i
\(352\) 11.4081 + 17.3365i 0.608055 + 0.924037i
\(353\) −14.5749 + 6.82728i −0.775746 + 0.363379i −0.771186 0.636610i \(-0.780336\pi\)
−0.00456008 + 0.999990i \(0.501452\pi\)
\(354\) −7.28022 + 11.3709i −0.386940 + 0.604355i
\(355\) −20.8791 + 10.4254i −1.10815 + 0.553321i
\(356\) −14.9773 + 0.750470i −0.793796 + 0.0397748i
\(357\) 0.649546 7.96638i 0.0343776 0.421625i
\(358\) 3.41781 0.649323i 0.180637 0.0343178i
\(359\) 3.47059 5.57306i 0.183171 0.294135i −0.744435 0.667695i \(-0.767281\pi\)
0.927606 + 0.373560i \(0.121863\pi\)
\(360\) 7.16471 5.31588i 0.377613 0.280172i
\(361\) −17.6624 + 19.6490i −0.929600 + 1.03416i
\(362\) 8.09912 7.55992i 0.425680 0.397341i
\(363\) 2.06179 8.74453i 0.108216 0.458969i
\(364\) 2.31549 + 0.500257i 0.121365 + 0.0262206i
\(365\) 17.4237 35.4481i 0.911996 1.85544i
\(366\) 6.62937 + 17.1311i 0.346523 + 0.895457i
\(367\) −7.24012 + 0.0906243i −0.377931 + 0.00473055i −0.201256 0.979539i \(-0.564502\pi\)
−0.176675 + 0.984269i \(0.556534\pi\)
\(368\) 2.93096 3.51774i 0.152787 0.183375i
\(369\) 6.35773 + 2.23424i 0.330970 + 0.116310i
\(370\) 25.6222 2.25063i 1.33204 0.117005i
\(371\) −1.23221 1.15018i −0.0639734 0.0597144i
\(372\) 6.91284 4.61119i 0.358414 0.239079i
\(373\) −1.66632 + 6.35110i −0.0862788 + 0.328847i −0.996324 0.0856610i \(-0.972700\pi\)
0.910046 + 0.414508i \(0.136046\pi\)
\(374\) 13.9219 + 23.6554i 0.719886 + 1.22319i
\(375\) 11.2011 0.701900i 0.578424 0.0362460i
\(376\) −16.6719 + 9.39507i −0.859789 + 0.484514i
\(377\) 4.88253 + 23.3050i 0.251463 + 1.20027i
\(378\) 1.77951 + 1.35517i 0.0915280 + 0.0697025i
\(379\) 19.5898 + 2.46481i 1.00626 + 0.126609i 0.610726 0.791842i \(-0.290878\pi\)
0.395536 + 0.918451i \(0.370559\pi\)
\(380\) −12.3373 21.5762i −0.632889 1.10683i
\(381\) −3.72161 + 10.3820i −0.190664 + 0.531886i
\(382\) 17.7640 12.8385i 0.908885 0.656874i
\(383\) 24.5662 + 1.84834i 1.25527 + 0.0944459i 0.685938 0.727660i \(-0.259392\pi\)
0.569335 + 0.822106i \(0.307201\pi\)
\(384\) 6.16870 6.05396i 0.314795 0.308940i
\(385\) 7.22309 2.13876i 0.368123 0.109001i
\(386\) −1.93480 10.5435i −0.0984785 0.536651i
\(387\) −3.07354 1.03707i −0.156237 0.0527173i
\(388\) −4.92897 + 0.123411i −0.250230 + 0.00626523i
\(389\) 2.35104 + 9.44068i 0.119202 + 0.478662i 0.999987 + 0.00514413i \(0.00163744\pi\)
−0.880784 + 0.473517i \(0.842984\pi\)
\(390\) 11.1791 + 22.7436i 0.566074 + 1.15167i
\(391\) −33.3513 + 36.1813i −1.68665 + 1.82977i
\(392\) −19.4103 3.68761i −0.980369 0.186252i
\(393\) −7.98101 + 28.9387i −0.402589 + 1.45976i
\(394\) −17.8816 18.9182i −0.900861 0.953085i
\(395\) −4.63490 + 1.76034i −0.233207 + 0.0885722i
\(396\) −3.76226 0.141335i −0.189061 0.00710237i
\(397\) −3.05490 + 0.821973i −0.153321 + 0.0412536i −0.335667 0.941981i \(-0.608962\pi\)
0.182346 + 0.983234i \(0.441631\pi\)
\(398\) −9.78109 + 8.04636i −0.490282 + 0.403327i
\(399\) −5.16837 + 5.33268i −0.258742 + 0.266968i
\(400\) −4.41008 + 0.895165i −0.220504 + 0.0447582i
\(401\) 18.2957 + 13.5746i 0.913644 + 0.677882i 0.946887 0.321565i \(-0.104209\pi\)
−0.0332429 + 0.999447i \(0.510584\pi\)
\(402\) 12.8495 5.06516i 0.640874 0.252627i
\(403\) 6.06341 + 14.0745i 0.302040 + 0.701101i
\(404\) −2.09788 12.2973i −0.104373 0.611814i
\(405\) −0.697074 37.1245i −0.0346379 1.84473i
\(406\) 0.746887 + 3.16772i 0.0370674 + 0.157211i
\(407\) −25.7568 17.1810i −1.27672 0.851632i
\(408\) 31.5864 28.0374i 1.56376 1.38806i
\(409\) 12.5754 + 14.3471i 0.621814 + 0.709416i 0.974009 0.226511i \(-0.0727318\pi\)
−0.352195 + 0.935927i \(0.614565\pi\)
\(410\) −17.8275 17.4959i −0.880438 0.864061i
\(411\) −14.5967 7.75080i −0.720003 0.382319i
\(412\) 0.125991 20.1320i 0.00620713 0.991834i
\(413\) 2.98613 + 2.65061i 0.146938 + 0.130428i
\(414\) 1.46008 + 5.56502i 0.0717590 + 0.273506i
\(415\) −12.5531 + 12.6319i −0.616206 + 0.620074i
\(416\) 11.5646 + 17.1042i 0.567002 + 0.838601i
\(417\) −5.49111 + 3.00446i −0.268901 + 0.147129i
\(418\) 3.97371 25.1911i 0.194361 1.23213i
\(419\) −13.6037 + 2.40846i −0.664585 + 0.117661i −0.496399 0.868094i \(-0.665345\pi\)
−0.168186 + 0.985755i \(0.553791\pi\)
\(420\) −1.88330 3.60095i −0.0918954 0.175708i
\(421\) 8.28698 4.40035i 0.403883 0.214460i −0.254616 0.967042i \(-0.581949\pi\)
0.658498 + 0.752582i \(0.271192\pi\)
\(422\) 21.3992 + 6.33630i 1.04170 + 0.308446i
\(423\) 0.608060 5.69388i 0.0295649 0.276846i
\(424\) −0.501405 8.89283i −0.0243504 0.431874i
\(425\) 47.8169 7.23639i 2.31946 0.351016i
\(426\) −0.242505 + 12.9152i −0.0117494 + 0.625744i
\(427\) 5.30971 1.14715i 0.256955 0.0555145i
\(428\) 2.52079 10.1223i 0.121847 0.489282i
\(429\) 6.62856 29.7770i 0.320030 1.43765i
\(430\) 8.68606 + 8.31365i 0.418879 + 0.400920i
\(431\) −0.0642381 0.186519i −0.00309424 0.00898430i 0.943938 0.330122i \(-0.107090\pi\)
−0.947032 + 0.321138i \(0.895935\pi\)
\(432\) 0.438563 + 2.78023i 0.0211004 + 0.133764i
\(433\) −11.7149 15.1850i −0.562981 0.729743i 0.421189 0.906973i \(-0.361613\pi\)
−0.984169 + 0.177230i \(0.943286\pi\)
\(434\) 0.876665 + 1.90242i 0.0420813 + 0.0913189i
\(435\) 25.3526 32.0254i 1.21556 1.53550i
\(436\) −7.38377 + 4.53432i −0.353618 + 0.217154i
\(437\) 45.2871 6.27479i 2.16637 0.300164i
\(438\) −12.9172 17.6393i −0.617206 0.842837i
\(439\) 6.69024 9.38006i 0.319308 0.447686i −0.623105 0.782138i \(-0.714129\pi\)
0.942413 + 0.334452i \(0.108551\pi\)
\(440\) 35.3877 + 18.2266i 1.68704 + 0.868920i
\(441\) 4.27094 4.08783i 0.203378 0.194658i
\(442\) 14.1440 + 23.3589i 0.672762 + 1.11107i
\(443\) 12.4542 13.1761i 0.591715 0.626018i −0.360018 0.932945i \(-0.617229\pi\)
0.951733 + 0.306928i \(0.0993011\pi\)
\(444\) −6.41571 + 15.4206i −0.304476 + 0.731829i
\(445\) −40.1143 + 25.3307i −1.90160 + 1.20079i
\(446\) 9.33236 + 4.37152i 0.441900 + 0.206997i
\(447\) 2.02736 + 13.9876i 0.0958908 + 0.661590i
\(448\) 2.07699 + 2.91204i 0.0981284 + 0.137581i
\(449\) −4.47572 + 13.5437i −0.211222 + 0.639169i 0.788487 + 0.615051i \(0.210865\pi\)
−0.999709 + 0.0241173i \(0.992322\pi\)
\(450\) 2.30202 5.16462i 0.108518 0.243462i
\(451\) 3.56678 + 29.8554i 0.167953 + 1.40584i
\(452\) −11.8243 + 3.02336i −0.556170 + 0.142207i
\(453\) 42.7167 + 12.0690i 2.00701 + 0.567051i
\(454\) 12.5980 + 9.84547i 0.591254 + 0.462071i
\(455\) 7.15885 2.21756i 0.335612 0.103961i
\(456\) −39.2137 + 1.47312i −1.83635 + 0.0689853i
\(457\) 27.1320 11.4879i 1.26918 0.537382i 0.352055 0.935979i \(-0.385483\pi\)
0.917126 + 0.398597i \(0.130503\pi\)
\(458\) −4.00308 + 0.657159i −0.187052 + 0.0307070i
\(459\) −3.21203 30.0775i −0.149925 1.40390i
\(460\) −4.51556 + 24.6072i −0.210539 + 1.14732i
\(461\) −12.1026 + 21.7944i −0.563676 + 1.01507i 0.430005 + 0.902826i \(0.358512\pi\)
−0.993681 + 0.112240i \(0.964197\pi\)
\(462\) 0.803863 4.09145i 0.0373991 0.190351i
\(463\) −9.86744 9.92938i −0.458579 0.461458i 0.441452 0.897285i \(-0.354464\pi\)
−0.900030 + 0.435828i \(0.856456\pi\)
\(464\) −2.07720 + 3.52948i −0.0964318 + 0.163852i
\(465\) 11.8909 23.4460i 0.551428 1.08728i
\(466\) 4.76611 + 6.02055i 0.220786 + 0.278897i
\(467\) −35.2824 12.8973i −1.63268 0.596818i −0.646558 0.762865i \(-0.723792\pi\)
−0.986118 + 0.166047i \(0.946900\pi\)
\(468\) −3.74444 0.0937526i −0.173087 0.00433372i
\(469\) −0.887515 3.98692i −0.0409816 0.184099i
\(470\) −10.9937 + 18.1561i −0.507100 + 0.837479i
\(471\) 6.27036 + 22.7360i 0.288923 + 1.04762i
\(472\) 1.71461 + 21.0288i 0.0789212 + 0.967931i
\(473\) −1.89661 14.3484i −0.0872063 0.659739i
\(474\) −0.325541 + 2.72491i −0.0149526 + 0.125159i
\(475\) −38.5813 23.0325i −1.77023 1.05680i
\(476\) −2.36105 3.68768i −0.108218 0.169025i
\(477\) 2.25351 + 1.42301i 0.103181 + 0.0651551i
\(478\) −6.04090 + 4.25183i −0.276304 + 0.194474i
\(479\) −6.59934 + 16.4392i −0.301531 + 0.751124i 0.697860 + 0.716234i \(0.254136\pi\)
−0.999391 + 0.0348898i \(0.988892\pi\)
\(480\) 9.84302 34.0229i 0.449270 1.55293i
\(481\) −25.8367 16.7709i −1.17805 0.764686i
\(482\) 1.72850 + 4.30574i 0.0787309 + 0.196121i
\(483\) 7.43774 0.747243i 0.338429 0.0340007i
\(484\) −2.00381 4.49558i −0.0910822 0.204344i
\(485\) −13.3933 + 7.99565i −0.608160 + 0.363064i
\(486\) −7.65028 3.81994i −0.347024 0.173276i
\(487\) 9.80708 + 4.29793i 0.444401 + 0.194758i 0.611603 0.791165i \(-0.290525\pi\)
−0.167202 + 0.985923i \(0.553473\pi\)
\(488\) 24.4605 + 15.0210i 1.10728 + 0.679971i
\(489\) 26.5401 9.70161i 1.20018 0.438722i
\(490\) −20.7633 + 7.00595i −0.937990 + 0.316497i
\(491\) 8.69858 + 15.6644i 0.392562 + 0.706924i 0.995890 0.0905686i \(-0.0288685\pi\)
−0.603329 + 0.797493i \(0.706159\pi\)
\(492\) 15.4323 4.99292i 0.695743 0.225098i
\(493\) 24.1939 36.7664i 1.08964 1.65588i
\(494\) 3.63935 25.1094i 0.163742 1.12972i
\(495\) −10.5889 + 5.45388i −0.475936 + 0.245134i
\(496\) −0.858316 + 2.49217i −0.0385395 + 0.111902i
\(497\) 3.76154 + 0.665959i 0.168728 + 0.0298723i
\(498\) 2.97558 + 9.39744i 0.133339 + 0.421110i
\(499\) −4.11993 + 19.6650i −0.184433 + 0.880325i 0.781974 + 0.623311i \(0.214213\pi\)
−0.966408 + 0.257014i \(0.917261\pi\)
\(500\) 4.64896 4.02372i 0.207908 0.179946i
\(501\) 5.46045 + 6.72300i 0.243955 + 0.300361i
\(502\) 20.3803 0.909616
\(503\) −22.2473 2.83854i −0.991958 0.126564i
\(504\) −1.46034 −0.0650485
\(505\) −24.8819 30.6350i −1.10723 1.36324i
\(506\) −19.4100 + 16.7996i −0.862882 + 0.746832i
\(507\) 0.969711 4.62856i 0.0430664 0.205562i
\(508\) 1.82388 + 5.76017i 0.0809217 + 0.255566i
\(509\) −4.58316 0.811421i −0.203145 0.0359656i 0.0718304 0.997417i \(-0.477116\pi\)
−0.274975 + 0.961451i \(0.588670\pi\)
\(510\) 15.2539 44.2905i 0.675454 1.96122i
\(511\) −5.74789 + 2.96049i −0.254272 + 0.130964i
\(512\) −1.08145 + 7.46138i −0.0477939 + 0.329750i
\(513\) −15.4491 + 23.4773i −0.682093 + 1.03655i
\(514\) 3.49375 1.13035i 0.154103 0.0498578i
\(515\) −30.9212 55.6828i −1.36255 2.45368i
\(516\) −7.39774 + 2.49614i −0.325667 + 0.109887i
\(517\) 23.9965 8.77183i 1.05537 0.385785i
\(518\) −3.58774 2.20320i −0.157636 0.0968033i
\(519\) 22.2959 + 9.77114i 0.978682 + 0.428905i
\(520\) 35.4304 + 17.6911i 1.55373 + 0.775806i
\(521\) −33.8388 + 20.2013i −1.48250 + 0.885035i −0.482546 + 0.875871i \(0.660288\pi\)
−0.999958 + 0.00916472i \(0.997083\pi\)
\(522\) −2.09502 4.70021i −0.0916964 0.205722i
\(523\) 5.69414 0.572070i 0.248987 0.0250149i 0.0253160 0.999679i \(-0.491941\pi\)
0.223671 + 0.974665i \(0.428196\pi\)
\(524\) 6.12667 + 15.2617i 0.267645 + 0.666712i
\(525\) −6.16223 3.99997i −0.268942 0.174573i
\(526\) −0.535581 + 1.85126i −0.0233524 + 0.0807189i
\(527\) 10.5531 26.2880i 0.459699 1.14512i
\(528\) 4.29064 3.01993i 0.186726 0.131425i
\(529\) −19.4649 12.2914i −0.846300 0.534407i
\(530\) −5.32673 8.31974i −0.231378 0.361387i
\(531\) −5.42077 3.23613i −0.235241 0.140436i
\(532\) −0.482612 + 4.03966i −0.0209239 + 0.175141i
\(533\) 3.91996 + 29.6556i 0.169792 + 1.28452i
\(534\) 2.13407 + 26.1733i 0.0923501 + 1.13263i
\(535\) −8.77399 31.8140i −0.379333 1.37544i
\(536\) 11.1791 18.4623i 0.482862 0.797450i
\(537\) 1.55294 + 6.97617i 0.0670145 + 0.301044i
\(538\) 1.81677 + 0.0454881i 0.0783267 + 0.00196113i
\(539\) 24.7747 + 9.05630i 1.06712 + 0.390083i
\(540\) −9.54552 12.0579i −0.410774 0.518890i
\(541\) 10.9254 21.5422i 0.469719 0.926171i −0.527349 0.849649i \(-0.676814\pi\)
0.997068 0.0765216i \(-0.0243814\pi\)
\(542\) −15.3836 + 26.1390i −0.660782 + 1.12277i
\(543\) 16.0436 + 16.1443i 0.688496 + 0.692818i
\(544\) 7.35758 37.4482i 0.315454 1.60558i
\(545\) −13.3083 + 23.9655i −0.570064 + 1.02657i
\(546\) 0.748732 4.08016i 0.0320428 0.174615i
\(547\) −0.0431601 0.404152i −0.00184539 0.0172803i 0.993386 0.114824i \(-0.0366305\pi\)
−0.995231 + 0.0975439i \(0.968901\pi\)
\(548\) −8.93446 + 1.46671i −0.381661 + 0.0626548i
\(549\) −7.90938 + 3.34890i −0.337564 + 0.142927i
\(550\) 25.2113 0.947100i 1.07501 0.0403845i
\(551\) −39.0618 + 12.1000i −1.66409 + 0.515476i
\(552\) 31.1229 + 24.3228i 1.32468 + 1.03525i
\(553\) 0.780985 + 0.220656i 0.0332108 + 0.00938326i
\(554\) 0.857524 0.219260i 0.0364327 0.00931546i
\(555\) 6.26807 + 52.4663i 0.266065 + 2.22707i
\(556\) −1.39604 + 3.13204i −0.0592053 + 0.132828i
\(557\) 4.19609 12.6976i 0.177794 0.538014i −0.821697 0.569925i \(-0.806972\pi\)
0.999491 + 0.0319115i \(0.0101595\pi\)
\(558\) −1.92321 2.69643i −0.0814158 0.114149i
\(559\) −2.06540 14.2501i −0.0873572 0.602714i
\(560\) 1.16729 + 0.546789i 0.0493270 + 0.0231060i
\(561\) −47.6777 + 30.1067i −2.01295 + 1.27111i
\(562\) 2.06762 4.96967i 0.0872172 0.209633i
\(563\) −3.95154 + 4.18061i −0.166537 + 0.176192i −0.804647 0.593754i \(-0.797645\pi\)
0.638109 + 0.769946i \(0.279717\pi\)
\(564\) −7.13878 11.7897i −0.300597 0.496438i
\(565\) −27.8940 + 26.6980i −1.17351 + 1.12319i
\(566\) 13.5984 + 7.00391i 0.571582 + 0.294396i
\(567\) −3.52930 + 4.94826i −0.148217 + 0.207807i
\(568\) 11.9260 + 16.2858i 0.500405 + 0.683337i
\(569\) 34.7390 4.81329i 1.45633 0.201784i 0.635124 0.772410i \(-0.280949\pi\)
0.821210 + 0.570626i \(0.193299\pi\)
\(570\) −37.0884 + 22.7757i −1.55346 + 0.953969i
\(571\) 6.20507 7.83825i 0.259674 0.328021i −0.636873 0.770969i \(-0.719773\pi\)
0.896547 + 0.442948i \(0.146067\pi\)
\(572\) −6.99436 15.1782i −0.292449 0.634632i
\(573\) 27.5034 + 35.6502i 1.14897 + 1.48931i
\(574\) 0.637087 + 4.03877i 0.0265915 + 0.168575i
\(575\) 14.7282 + 42.7642i 0.614209 + 1.78339i
\(576\) −4.08569 3.91052i −0.170237 0.162938i
\(577\) −0.145912 + 0.655469i −0.00607439 + 0.0272875i −0.979049 0.203623i \(-0.934728\pi\)
0.972975 + 0.230911i \(0.0741705\pi\)
\(578\) 8.25648 33.1542i 0.343424 1.37903i
\(579\) 21.5250 4.65043i 0.894549 0.193265i
\(580\) 0.420088 22.3729i 0.0174432 0.928984i
\(581\) 2.88224 0.436185i 0.119575 0.0180960i
\(582\) 0.486038 + 8.62029i 0.0201469 + 0.357322i
\(583\) −1.26275 + 11.8244i −0.0522976 + 0.489716i
\(584\) −32.7586 9.69984i −1.35556 0.401382i
\(585\) −10.4659 + 5.55734i −0.432711 + 0.229768i
\(586\) −12.2972 23.5128i −0.507991 0.971303i
\(587\) −24.7725 + 4.38582i −1.02247 + 0.181022i −0.660231 0.751063i \(-0.729541\pi\)
−0.362239 + 0.932085i \(0.617988\pi\)
\(588\) 2.21720 14.0558i 0.0914358 0.579651i
\(589\) −23.0891 + 12.6332i −0.951369 + 0.520541i
\(590\) 13.1072 + 19.3857i 0.539615 + 0.798095i
\(591\) 37.6961 37.9327i 1.55061 1.56034i
\(592\) −1.34449 5.12445i −0.0552581 0.210613i
\(593\) −22.4521 19.9294i −0.921996 0.818403i 0.0617269 0.998093i \(-0.480339\pi\)
−0.983723 + 0.179690i \(0.942491\pi\)
\(594\) 0.0987527 15.7796i 0.00405187 0.647447i
\(595\) −12.2350 6.49674i −0.501586 0.266340i
\(596\) 5.52627 + 5.42348i 0.226365 + 0.222154i
\(597\) −17.1505 19.5667i −0.701923 0.800810i
\(598\) −19.0998 + 16.9538i −0.781049 + 0.693293i
\(599\) 19.7322 + 13.1623i 0.806236 + 0.537798i 0.888535 0.458810i \(-0.151724\pi\)
−0.0822984 + 0.996608i \(0.526226\pi\)
\(600\) −8.90884 37.7844i −0.363702 1.54254i
\(601\) −0.544880 29.0190i −0.0222261 1.18371i −0.816939 0.576725i \(-0.804331\pi\)
0.794712 0.606986i \(-0.207622\pi\)
\(602\) −0.330972 1.94008i −0.0134894 0.0790719i
\(603\) 2.55522 + 5.93122i 0.104056 + 0.241538i
\(604\) 22.6236 8.91804i 0.920542 0.362870i
\(605\) −12.5052 9.27828i −0.508409 0.377216i
\(606\) −21.4087 + 4.34558i −0.869671 + 0.176527i
\(607\) −8.65105 + 8.92607i −0.351135 + 0.362298i −0.870426 0.492300i \(-0.836156\pi\)
0.519290 + 0.854598i \(0.326196\pi\)
\(608\) −27.3837 + 22.5271i −1.11056 + 0.913593i
\(609\) −6.45638 + 1.73720i −0.261626 + 0.0703949i
\(610\) 31.8143 + 1.19515i 1.28812 + 0.0483904i
\(611\) 23.7624 9.02497i 0.961323 0.365111i
\(612\) 4.75584 + 5.03154i 0.192243 + 0.203388i
\(613\) 11.8698 43.0393i 0.479418 1.73834i −0.177253 0.984165i \(-0.556721\pi\)
0.656671 0.754177i \(-0.271964\pi\)
\(614\) −2.07403 0.394029i −0.0837011 0.0159017i
\(615\) 34.7791 37.7303i 1.40243 1.52143i
\(616\) −2.87422 5.84755i −0.115806 0.235605i
\(617\) 10.6616 + 42.8122i 0.429221 + 1.72356i 0.660642 + 0.750701i \(0.270284\pi\)
−0.231420 + 0.972854i \(0.574337\pi\)
\(618\) −35.2435 + 0.882421i −1.41770 + 0.0354962i
\(619\) −27.1010 9.14441i −1.08928 0.367545i −0.283025 0.959112i \(-0.591338\pi\)
−0.806255 + 0.591567i \(0.798509\pi\)
\(620\) −2.59945 14.1655i −0.104396 0.568901i
\(621\) 27.1254 8.03183i 1.08850 0.322306i
\(622\) −8.90265 + 8.73706i −0.356964 + 0.350324i
\(623\) 7.74393 + 0.582648i 0.310254 + 0.0233433i
\(624\) 4.23070 3.05763i 0.169363 0.122403i
\(625\) −4.68520 + 13.0701i −0.187408 + 0.522803i
\(626\) −2.77987 4.86161i −0.111106 0.194309i
\(627\) 51.9810 + 6.54029i 2.07592 + 0.261194i
\(628\) 10.2793 + 7.82811i 0.410187 + 0.312375i
\(629\) 11.6750 + 55.7262i 0.465512 + 2.22195i
\(630\) −1.41106 + 0.795169i −0.0562180 + 0.0316803i
\(631\) −13.3587 + 0.837099i −0.531800 + 0.0333244i −0.326180 0.945308i \(-0.605762\pi\)
−0.205620 + 0.978632i \(0.565921\pi\)
\(632\) 2.17510 + 3.69582i 0.0865209 + 0.147012i
\(633\) −11.6352 + 44.3469i −0.462457 + 1.76263i
\(634\) 2.82941 1.88735i 0.112370 0.0749563i
\(635\) 13.9734 + 13.0431i 0.554518 + 0.517602i
\(636\) 6.39029 0.561317i 0.253391 0.0222577i
\(637\) 24.7585 + 8.70067i 0.980969 + 0.344733i
\(638\) 14.6974 17.6399i 0.581876 0.698370i
\(639\) −6.03958 + 0.0755972i −0.238922 + 0.00299058i
\(640\) −5.40625 13.9704i −0.213701 0.552228i
\(641\) −18.1930 + 37.0134i −0.718581 + 1.46194i 0.161379 + 0.986893i \(0.448406\pi\)
−0.879960 + 0.475048i \(0.842431\pi\)
\(642\) −17.8550 3.85753i −0.704681 0.152244i
\(643\) 0.976555 4.14179i 0.0385116 0.163336i −0.950623 0.310347i \(-0.899555\pi\)
0.989135 + 0.147011i \(0.0469651\pi\)
\(644\) 2.99367 2.79436i 0.117967 0.110113i
\(645\) −16.5124 + 18.3697i −0.650176 + 0.723306i
\(646\) −37.6631 + 27.9443i −1.48184 + 1.09945i
\(647\) 12.3578 19.8442i 0.485837 0.780154i −0.511004 0.859578i \(-0.670726\pi\)
0.996841 + 0.0794239i \(0.0253081\pi\)
\(648\) −31.5522 + 5.99435i −1.23949 + 0.235480i
\(649\) 2.28916 28.0755i 0.0898574 1.10206i
\(650\) 25.0682 1.25610i 0.983256 0.0492681i
\(651\) −3.84995 + 1.92236i −0.150891 + 0.0753431i
\(652\) 8.34720 13.0374i 0.326902 0.510583i
\(653\) −12.2168 + 5.72266i −0.478080 + 0.223945i −0.648188 0.761481i \(-0.724473\pi\)
0.170108 + 0.985425i \(0.445588\pi\)
\(654\) 8.34083 + 12.6752i 0.326152 + 0.495640i
\(655\) 40.5901 + 32.5480i 1.58599 + 1.27176i
\(656\) −2.93490 + 4.22577i −0.114588 + 0.164989i
\(657\) 8.05490 6.29498i 0.314251 0.245591i
\(658\) 3.21605 1.31448i 0.125375 0.0512438i
\(659\) 14.8941 + 13.5577i 0.580193 + 0.528134i 0.909291 0.416162i \(-0.136625\pi\)
−0.329097 + 0.944296i \(0.606744\pi\)
\(660\) −12.3232 + 25.8848i −0.479681 + 1.00757i
\(661\) 30.3550 27.6314i 1.18067 1.07474i 0.184913 0.982755i \(-0.440800\pi\)
0.995761 0.0919803i \(-0.0293197\pi\)
\(662\) −8.26848 27.2960i −0.321364 1.06089i
\(663\) −47.0546 + 30.5436i −1.82745 + 1.18622i
\(664\) 12.5963 + 8.86578i 0.488831 + 0.344059i
\(665\) 4.94411 + 11.8835i 0.191724 + 0.460823i
\(666\) 6.22325 + 2.36360i 0.241146 + 0.0915875i
\(667\) 37.9046 + 16.0491i 1.46767 + 0.621425i
\(668\) 4.61135 + 1.11778i 0.178418 + 0.0432480i
\(669\) −8.37637 + 19.4434i −0.323849 + 0.751725i
\(670\) 0.748921 23.9264i 0.0289334 0.924359i
\(671\) −28.9770 25.0799i −1.11865 0.968198i
\(672\) −4.61236 + 3.51251i −0.177926 + 0.135498i
\(673\) −25.2768 + 14.6640i −0.974349 + 0.565254i −0.901820 0.432112i \(-0.857768\pi\)
−0.0725293 + 0.997366i \(0.523107\pi\)
\(674\) 3.49777 0.988244i 0.134729 0.0380657i
\(675\) −25.7363 10.5191i −0.990590 0.404879i
\(676\) −1.11364 2.33918i −0.0428322 0.0899686i
\(677\) −10.6088 + 35.0217i −0.407728 + 1.34600i 0.476596 + 0.879122i \(0.341870\pi\)
−0.884325 + 0.466873i \(0.845381\pi\)
\(678\) 5.93951 + 20.5302i 0.228106 + 0.788458i
\(679\) 2.54050 + 0.255235i 0.0974956 + 0.00979504i
\(680\) −22.9685 69.5037i −0.880800 2.66534i
\(681\) −19.4063 + 26.5007i −0.743652 + 1.01551i
\(682\) 7.01196 13.0081i 0.268502 0.498106i
\(683\) −0.496531 + 11.3272i −0.0189992 + 0.433425i 0.965753 + 0.259463i \(0.0835455\pi\)
−0.984752 + 0.173962i \(0.944343\pi\)
\(684\) −0.442477 6.41748i −0.0169185 0.245379i
\(685\) −22.3468 + 17.9192i −0.853826 + 0.684658i
\(686\) 6.98515 + 2.25995i 0.266694 + 0.0862854i
\(687\) −1.60665 8.17741i −0.0612974 0.311988i
\(688\) 1.38715 2.05161i 0.0528847 0.0782170i
\(689\) −1.10894 + 11.7785i −0.0422472 + 0.448727i
\(690\) 43.3168 + 6.55536i 1.64904 + 0.249558i
\(691\) 5.23669 30.6963i 0.199213 1.16774i −0.694632 0.719365i \(-0.744433\pi\)
0.893845 0.448376i \(-0.147998\pi\)
\(692\) 12.9607 3.14162i 0.492691 0.119427i
\(693\) 1.92393 + 0.315839i 0.0730841 + 0.0119977i
\(694\) −0.261022 + 4.62945i −0.00990826 + 0.175731i
\(695\) 1.01687 + 10.8007i 0.0385723 + 0.409694i
\(696\) −30.9937 16.9582i −1.17481 0.642798i
\(697\) 33.7744 43.7788i 1.27930 1.65824i
\(698\) −13.6171 3.12082i −0.515413 0.118125i
\(699\) −12.0559 + 10.1734i −0.455995 + 0.384792i
\(700\) −4.01341 + 0.301966i −0.151693 + 0.0114132i
\(701\) −18.4829 + 21.0868i −0.698091 + 0.796439i −0.986966 0.160928i \(-0.948551\pi\)
0.288875 + 0.957367i \(0.406719\pi\)
\(702\) −0.0982463 15.6987i −0.00370807 0.592510i
\(703\) 24.5163 46.8764i 0.924652 1.76798i
\(704\) 7.61728 24.0568i 0.287087 0.906675i
\(705\) −37.9871 21.4067i −1.43068 0.806223i
\(706\) 13.8992 + 6.72414i 0.523103 + 0.253066i
\(707\) 0.282914 + 6.45404i 0.0106401 + 0.242729i
\(708\) −15.0992 + 1.70810i −0.567462 + 0.0641945i
\(709\) 11.4775 + 9.44192i 0.431048 + 0.354599i 0.825582 0.564282i \(-0.190847\pi\)
−0.394534 + 0.918881i \(0.629094\pi\)
\(710\) 20.3914 + 9.24243i 0.765276 + 0.346862i
\(711\) −1.27827 0.112282i −0.0479389 0.00421091i
\(712\) 27.4327 + 30.5183i 1.02808 + 1.14372i
\(713\) 25.9631 + 5.27004i 0.972327 + 0.197365i
\(714\) −6.32511 + 4.33451i −0.236711 + 0.162215i
\(715\) −42.8519 30.9701i −1.60257 1.15822i
\(716\) 2.99232 + 2.52507i 0.111828 + 0.0943664i
\(717\) −9.11868 12.1307i −0.340543 0.453029i
\(718\) −6.24912 + 0.786269i −0.233215 + 0.0293433i
\(719\) −27.1938 15.7761i −1.01416 0.588349i −0.100545 0.994933i \(-0.532059\pi\)
−0.913614 + 0.406583i \(0.866720\pi\)
\(720\) −1.97459 0.504881i −0.0735886 0.0188158i
\(721\) −1.36622 + 10.3358i −0.0508806 + 0.384925i
\(722\) 25.3144 + 1.26843i 0.942104 + 0.0472061i
\(723\) −8.73002 + 3.82591i −0.324673 + 0.142287i
\(724\) 12.3510 + 1.71130i 0.459020 + 0.0636000i
\(725\) −19.1955 35.6102i −0.712904 1.32253i
\(726\) −7.75872 + 3.75351i −0.287953 + 0.139306i
\(727\) 30.2228 + 1.89386i 1.12090 + 0.0702394i 0.612199 0.790704i \(-0.290285\pi\)
0.508701 + 0.860943i \(0.330126\pi\)
\(728\) −2.93207 5.78132i −0.108670 0.214270i
\(729\) −6.29671 + 13.6642i −0.233212 + 0.506083i
\(730\) −36.9349 + 8.46491i −1.36702 + 0.313300i
\(731\) −15.9924 + 21.2749i −0.591500 + 0.786880i
\(732\) −10.2619 + 17.9466i −0.379290 + 0.663326i
\(733\) 10.9862 + 12.8551i 0.405785 + 0.474812i 0.925074 0.379786i \(-0.124003\pi\)
−0.519289 + 0.854598i \(0.673803\pi\)
\(734\) 4.44644 + 5.33663i 0.164121 + 0.196978i
\(735\) −15.7200 42.1837i −0.579842 1.55597i
\(736\) 35.6897 + 0.446727i 1.31554 + 0.0164666i
\(737\) −18.7209 + 21.9055i −0.689595 + 0.806900i
\(738\) −2.18151 6.08566i −0.0803026 0.224016i
\(739\) −42.8037 29.3328i −1.57456 1.07902i −0.956033 0.293259i \(-0.905260\pi\)
−0.618525 0.785765i \(-0.712270\pi\)
\(740\) 20.1461 + 20.7866i 0.740587 + 0.764131i
\(741\) 51.7918 + 5.85898i 1.90262 + 0.215235i
\(742\) −0.111230 + 1.61323i −0.00408339 + 0.0592236i
\(743\) −13.7102 19.7404i −0.502978 0.724206i 0.485722 0.874113i \(-0.338557\pi\)
−0.988700 + 0.149907i \(0.952102\pi\)
\(744\) −21.7204 6.72824i −0.796310 0.246669i
\(745\) 23.6549 + 6.36475i 0.866647 + 0.233187i
\(746\) 5.73723 2.60041i 0.210055 0.0952077i
\(747\) −4.34844 + 1.52813i −0.159101 + 0.0559115i
\(748\) −10.7872 + 28.9466i −0.394417 + 1.05839i
\(749\) −1.94958 + 5.03795i −0.0712360 + 0.184083i
\(750\) −7.29731 7.91652i −0.266460 0.289070i
\(751\) −12.0080 19.2824i −0.438178 0.703624i 0.553431 0.832895i \(-0.313318\pi\)
−0.991609 + 0.129271i \(0.958736\pi\)
\(752\) 4.06726 + 1.60328i 0.148318 + 0.0584657i
\(753\) 1.30987 + 41.8475i 0.0477342 + 1.52501i
\(754\) 14.4013 17.7311i 0.524463 0.645727i
\(755\) 48.5031 59.7178i 1.76521 2.17335i
\(756\) 0.0787571 + 2.51612i 0.00286437 + 0.0915104i
\(757\) −9.42952 3.71704i −0.342722 0.135098i 0.189092 0.981959i \(-0.439446\pi\)
−0.531814 + 0.846861i \(0.678489\pi\)
\(758\) −10.0128 16.0785i −0.363682 0.583999i
\(759\) −35.7426 38.7755i −1.29737 1.40746i
\(760\) −24.5454 + 63.4282i −0.890354 + 2.30078i
\(761\) 15.4484 41.4549i 0.560006 1.50274i −0.279913 0.960025i \(-0.590306\pi\)
0.839918 0.542713i \(-0.182603\pi\)
\(762\) 9.98196 3.50787i 0.361608 0.127077i
\(763\) 4.08695 1.85241i 0.147957 0.0670619i
\(764\) 23.8199 + 6.40916i 0.861775 + 0.231875i
\(765\) 20.9227 + 6.48111i 0.756461 + 0.234325i
\(766\) −13.4817 19.4114i −0.487112 0.701362i
\(767\) 1.92765 27.9578i 0.0696035 1.00950i
\(768\) −33.2949 3.76651i −1.20143 0.135912i
\(769\) −5.77633 5.95996i −0.208300 0.214922i 0.605847 0.795582i \(-0.292835\pi\)
−0.814146 + 0.580660i \(0.802795\pi\)
\(770\) −5.96130 4.08520i −0.214830 0.147220i
\(771\) 2.54554 + 7.10117i 0.0916754 + 0.255742i
\(772\) 7.83798 9.17129i 0.282095 0.330082i
\(773\) 20.2302