Properties

Label 966.2.s.a.181.4
Level $966$
Weight $2$
Character 966.181
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.4
Character \(\chi\) \(=\) 966.181
Dual form 966.2.s.a.475.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.296662 + 0.342366i) q^{5} +(-0.281733 + 0.959493i) q^{6} +(2.35940 - 1.19718i) q^{7} +(0.415415 + 0.909632i) q^{8} +(0.654861 + 0.755750i) q^{9} +(0.381101 + 0.244919i) q^{10} +(1.25631 + 0.180630i) q^{11} +(0.989821 + 0.142315i) q^{12} +(-2.29449 + 3.57030i) q^{13} +(-1.52077 - 2.16501i) q^{14} +(0.412077 - 0.188189i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.531866 + 0.156170i) q^{17} +(0.654861 - 0.755750i) q^{18} +(-1.02004 + 0.299510i) q^{19} +(0.188189 - 0.412077i) q^{20} +(-2.64351 + 0.108862i) q^{21} -1.26923i q^{22} +(4.66820 + 1.09904i) q^{23} -1.00000i q^{24} +(0.682368 + 4.74597i) q^{25} +(3.86050 + 1.76303i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-1.92654 + 1.81340i) q^{28} +(8.48246 + 2.49067i) q^{29} +(-0.244919 - 0.381101i) q^{30} +(-4.32419 + 1.97479i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.06774 - 0.686196i) q^{33} +(0.0788880 - 0.548678i) q^{34} +(-0.290071 + 1.16294i) q^{35} +(-0.841254 - 0.540641i) q^{36} +(2.91543 - 2.52623i) q^{37} +(0.441629 + 0.967032i) q^{38} +(3.57030 - 2.29449i) q^{39} +(-0.434665 - 0.127629i) q^{40} +(-0.666300 - 0.577352i) q^{41} +(0.483964 + 2.60111i) q^{42} +(5.19926 + 2.37442i) q^{43} +(-1.25631 + 0.180630i) q^{44} -0.453015 q^{45} +(0.423498 - 4.77710i) q^{46} -8.72627i q^{47} +(-0.989821 + 0.142315i) q^{48} +(4.13353 - 5.64924i) q^{49} +(4.60055 - 1.35084i) q^{50} +(-0.418927 - 0.363002i) q^{51} +(1.19568 - 4.07211i) q^{52} +(-2.10325 - 3.27272i) q^{53} +(-0.909632 + 0.415415i) q^{54} +(-0.434540 + 0.376531i) q^{55} +(2.06912 + 1.64886i) q^{56} +(1.05228 + 0.151295i) q^{57} +(1.25814 - 8.75058i) q^{58} +(7.59001 - 11.8103i) q^{59} +(-0.342366 + 0.296662i) q^{60} +(5.89710 + 12.9129i) q^{61} +(2.57009 + 3.99913i) q^{62} +(2.44984 + 0.999130i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-0.541661 - 1.84473i) q^{65} +(-0.527256 + 1.15453i) q^{66} +(8.09534 - 1.16393i) q^{67} -0.554320 q^{68} +(-3.78979 - 2.93896i) q^{69} +(1.19238 + 0.121615i) q^{70} +(-0.744098 - 5.17532i) q^{71} +(-0.415415 + 0.909632i) q^{72} +(-2.51679 - 8.57139i) q^{73} +(-2.91543 - 2.52623i) q^{74} +(1.35084 - 4.60055i) q^{75} +(0.894338 - 0.574756i) q^{76} +(3.18038 - 1.07785i) q^{77} +(-2.77924 - 3.20742i) q^{78} +(-5.23113 + 8.13980i) q^{79} +(-0.0644708 + 0.448404i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-0.476651 + 0.741683i) q^{82} +(9.54566 + 11.0163i) q^{83} +(2.50576 - 0.849215i) q^{84} +(-0.211252 + 0.135763i) q^{85} +(1.61032 - 5.48426i) q^{86} +(-6.68125 - 5.78934i) q^{87} +(0.357583 + 1.21781i) q^{88} +(2.67504 - 5.85751i) q^{89} +(0.0644708 + 0.448404i) q^{90} +(-1.13934 + 11.1707i) q^{91} +(-4.78874 + 0.260665i) q^{92} +4.75378 q^{93} +(-8.63745 + 1.24188i) q^{94} +(0.200065 - 0.438080i) q^{95} +(0.281733 + 0.959493i) q^{96} +(-11.2536 + 12.9873i) q^{97} +(-6.18000 - 3.28749i) q^{98} +(0.686196 + 1.06774i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −0.296662 + 0.342366i −0.132671 + 0.153111i −0.818198 0.574937i \(-0.805027\pi\)
0.685527 + 0.728048i \(0.259572\pi\)
\(6\) −0.281733 + 0.959493i −0.115017 + 0.391711i
\(7\) 2.35940 1.19718i 0.891769 0.452491i
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 0.381101 + 0.244919i 0.120515 + 0.0774501i
\(11\) 1.25631 + 0.180630i 0.378791 + 0.0544620i 0.329081 0.944302i \(-0.393261\pi\)
0.0497103 + 0.998764i \(0.484170\pi\)
\(12\) 0.989821 + 0.142315i 0.285737 + 0.0410828i
\(13\) −2.29449 + 3.57030i −0.636377 + 0.990222i 0.361938 + 0.932202i \(0.382115\pi\)
−0.998315 + 0.0580203i \(0.981521\pi\)
\(14\) −1.52077 2.16501i −0.406443 0.578623i
\(15\) 0.412077 0.188189i 0.106398 0.0485903i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.531866 + 0.156170i 0.128996 + 0.0378768i 0.345594 0.938384i \(-0.387678\pi\)
−0.216597 + 0.976261i \(0.569496\pi\)
\(18\) 0.654861 0.755750i 0.154352 0.178132i
\(19\) −1.02004 + 0.299510i −0.234013 + 0.0687124i −0.396636 0.917976i \(-0.629823\pi\)
0.162623 + 0.986688i \(0.448004\pi\)
\(20\) 0.188189 0.412077i 0.0420804 0.0921433i
\(21\) −2.64351 + 0.108862i −0.576861 + 0.0237556i
\(22\) 1.26923i 0.270600i
\(23\) 4.66820 + 1.09904i 0.973387 + 0.229165i
\(24\) 1.00000i 0.204124i
\(25\) 0.682368 + 4.74597i 0.136474 + 0.949195i
\(26\) 3.86050 + 1.76303i 0.757106 + 0.345759i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −1.92654 + 1.81340i −0.364082 + 0.342701i
\(29\) 8.48246 + 2.49067i 1.57515 + 0.462507i 0.948496 0.316789i \(-0.102605\pi\)
0.626657 + 0.779295i \(0.284423\pi\)
\(30\) −0.244919 0.381101i −0.0447158 0.0695792i
\(31\) −4.32419 + 1.97479i −0.776647 + 0.354683i −0.763983 0.645237i \(-0.776759\pi\)
−0.0126646 + 0.999920i \(0.504031\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −1.06774 0.686196i −0.185870 0.119451i
\(34\) 0.0788880 0.548678i 0.0135292 0.0940975i
\(35\) −0.290071 + 1.16294i −0.0490309 + 0.196572i
\(36\) −0.841254 0.540641i −0.140209 0.0901068i
\(37\) 2.91543 2.52623i 0.479294 0.415310i −0.381418 0.924403i \(-0.624564\pi\)
0.860712 + 0.509092i \(0.170019\pi\)
\(38\) 0.441629 + 0.967032i 0.0716416 + 0.156873i
\(39\) 3.57030 2.29449i 0.571705 0.367413i
\(40\) −0.434665 0.127629i −0.0687266 0.0201799i
\(41\) −0.666300 0.577352i −0.104059 0.0901672i 0.601278 0.799040i \(-0.294659\pi\)
−0.705336 + 0.708873i \(0.749204\pi\)
\(42\) 0.483964 + 2.60111i 0.0746773 + 0.401360i
\(43\) 5.19926 + 2.37442i 0.792880 + 0.362096i 0.770327 0.637649i \(-0.220093\pi\)
0.0225533 + 0.999746i \(0.492820\pi\)
\(44\) −1.25631 + 0.180630i −0.189396 + 0.0272310i
\(45\) −0.453015 −0.0675315
\(46\) 0.423498 4.77710i 0.0624413 0.704344i
\(47\) 8.72627i 1.27286i −0.771336 0.636429i \(-0.780411\pi\)
0.771336 0.636429i \(-0.219589\pi\)
\(48\) −0.989821 + 0.142315i −0.142868 + 0.0205414i
\(49\) 4.13353 5.64924i 0.590504 0.807035i
\(50\) 4.60055 1.35084i 0.650617 0.191038i
\(51\) −0.418927 0.363002i −0.0586615 0.0508305i
\(52\) 1.19568 4.07211i 0.165811 0.564700i
\(53\) −2.10325 3.27272i −0.288904 0.449543i 0.666218 0.745757i \(-0.267912\pi\)
−0.955122 + 0.296214i \(0.904276\pi\)
\(54\) −0.909632 + 0.415415i −0.123785 + 0.0565308i
\(55\) −0.434540 + 0.376531i −0.0585934 + 0.0507715i
\(56\) 2.06912 + 1.64886i 0.276498 + 0.220338i
\(57\) 1.05228 + 0.151295i 0.139378 + 0.0200395i
\(58\) 1.25814 8.75058i 0.165202 1.14901i
\(59\) 7.59001 11.8103i 0.988136 1.53757i 0.152486 0.988306i \(-0.451272\pi\)
0.835649 0.549263i \(-0.185092\pi\)
\(60\) −0.342366 + 0.296662i −0.0441993 + 0.0382989i
\(61\) 5.89710 + 12.9129i 0.755047 + 1.65332i 0.757079 + 0.653324i \(0.226626\pi\)
−0.00203172 + 0.999998i \(0.500647\pi\)
\(62\) 2.57009 + 3.99913i 0.326401 + 0.507890i
\(63\) 2.44984 + 0.999130i 0.308651 + 0.125879i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −0.541661 1.84473i −0.0671848 0.228810i
\(66\) −0.527256 + 1.15453i −0.0649007 + 0.142113i
\(67\) 8.09534 1.16393i 0.989003 0.142197i 0.371219 0.928545i \(-0.378940\pi\)
0.617784 + 0.786348i \(0.288031\pi\)
\(68\) −0.554320 −0.0672212
\(69\) −3.78979 2.93896i −0.456237 0.353809i
\(70\) 1.19238 + 0.121615i 0.142517 + 0.0145358i
\(71\) −0.744098 5.17532i −0.0883082 0.614197i −0.985131 0.171806i \(-0.945040\pi\)
0.896823 0.442391i \(-0.145869\pi\)
\(72\) −0.415415 + 0.909632i −0.0489571 + 0.107201i
\(73\) −2.51679 8.57139i −0.294568 1.00321i −0.965221 0.261435i \(-0.915804\pi\)
0.670653 0.741771i \(-0.266014\pi\)
\(74\) −2.91543 2.52623i −0.338912 0.293669i
\(75\) 1.35084 4.60055i 0.155982 0.531226i
\(76\) 0.894338 0.574756i 0.102588 0.0659291i
\(77\) 3.18038 1.07785i 0.362438 0.122832i
\(78\) −2.77924 3.20742i −0.314687 0.363168i
\(79\) −5.23113 + 8.13980i −0.588549 + 0.915799i 0.411442 + 0.911436i \(0.365025\pi\)
−0.999990 + 0.00436339i \(0.998611\pi\)
\(80\) −0.0644708 + 0.448404i −0.00720805 + 0.0501331i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −0.476651 + 0.741683i −0.0526373 + 0.0819052i
\(83\) 9.54566 + 11.0163i 1.04777 + 1.20919i 0.977340 + 0.211677i \(0.0678925\pi\)
0.0704325 + 0.997517i \(0.477562\pi\)
\(84\) 2.50576 0.849215i 0.273401 0.0926570i
\(85\) −0.211252 + 0.135763i −0.0229135 + 0.0147256i
\(86\) 1.61032 5.48426i 0.173646 0.591383i
\(87\) −6.68125 5.78934i −0.716305 0.620682i
\(88\) 0.357583 + 1.21781i 0.0381184 + 0.129819i
\(89\) 2.67504 5.85751i 0.283553 0.620895i −0.713240 0.700920i \(-0.752773\pi\)
0.996793 + 0.0800253i \(0.0255001\pi\)
\(90\) 0.0644708 + 0.448404i 0.00679582 + 0.0472660i
\(91\) −1.13934 + 11.1707i −0.119435 + 1.17100i
\(92\) −4.78874 + 0.260665i −0.499261 + 0.0271762i
\(93\) 4.75378 0.492944
\(94\) −8.63745 + 1.24188i −0.890885 + 0.128090i
\(95\) 0.200065 0.438080i 0.0205262 0.0449461i
\(96\) 0.281733 + 0.959493i 0.0287542 + 0.0979278i
\(97\) −11.2536 + 12.9873i −1.14263 + 1.31866i −0.201937 + 0.979398i \(0.564724\pi\)
−0.940691 + 0.339265i \(0.889822\pi\)
\(98\) −6.18000 3.28749i −0.624275 0.332086i
\(99\) 0.686196 + 1.06774i 0.0689653 + 0.107312i
\(100\) −1.99182 4.36148i −0.199182 0.436148i
\(101\) 4.74677 4.11310i 0.472321 0.409268i −0.385907 0.922538i \(-0.626111\pi\)
0.858227 + 0.513269i \(0.171566\pi\)
\(102\) −0.299688 + 0.466324i −0.0296735 + 0.0461729i
\(103\) 0.144154 1.00261i 0.0142039 0.0987904i −0.981486 0.191533i \(-0.938654\pi\)
0.995690 + 0.0927423i \(0.0295633\pi\)
\(104\) −4.20082 0.603987i −0.411925 0.0592258i
\(105\) 0.746958 0.937344i 0.0728957 0.0914754i
\(106\) −2.94009 + 2.54760i −0.285567 + 0.247445i
\(107\) 13.5169 6.17295i 1.30673 0.596761i 0.364332 0.931269i \(-0.381297\pi\)
0.942393 + 0.334508i \(0.108570\pi\)
\(108\) 0.540641 + 0.841254i 0.0520232 + 0.0809497i
\(109\) 3.73296 12.7133i 0.357552 1.21771i −0.562791 0.826599i \(-0.690272\pi\)
0.920343 0.391112i \(-0.127910\pi\)
\(110\) 0.434540 + 0.376531i 0.0414318 + 0.0359009i
\(111\) −3.70140 + 1.08683i −0.351322 + 0.103157i
\(112\) 1.33761 2.28272i 0.126392 0.215697i
\(113\) −15.1781 + 2.18228i −1.42784 + 0.205292i −0.812495 0.582969i \(-0.801891\pi\)
−0.615342 + 0.788260i \(0.710982\pi\)
\(114\) 1.06310i 0.0995686i
\(115\) −1.76115 + 1.27219i −0.164228 + 0.118632i
\(116\) −8.84056 −0.820826
\(117\) −4.20082 + 0.603987i −0.388366 + 0.0558386i
\(118\) −12.7703 5.83198i −1.17560 0.536877i
\(119\) 1.44185 0.268271i 0.132174 0.0245924i
\(120\) 0.342366 + 0.296662i 0.0312536 + 0.0270814i
\(121\) −9.00874 2.64520i −0.818976 0.240473i
\(122\) 11.9422 7.67477i 1.08119 0.694841i
\(123\) 0.366247 + 0.801969i 0.0330234 + 0.0723111i
\(124\) 3.59267 3.11306i 0.322631 0.279561i
\(125\) −3.73280 2.39892i −0.333871 0.214566i
\(126\) 0.640311 2.56710i 0.0570434 0.228695i
\(127\) −2.11766 + 14.7287i −0.187912 + 1.30696i 0.649490 + 0.760370i \(0.274982\pi\)
−0.837402 + 0.546587i \(0.815927\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −3.74304 4.31970i −0.329557 0.380329i
\(130\) −1.74886 + 0.798680i −0.153386 + 0.0700488i
\(131\) 11.5293 + 17.9399i 1.00732 + 1.56742i 0.809449 + 0.587191i \(0.199766\pi\)
0.197870 + 0.980228i \(0.436598\pi\)
\(132\) 1.21781 + 0.357583i 0.105997 + 0.0311236i
\(133\) −2.04811 + 1.92783i −0.177594 + 0.167164i
\(134\) −2.30417 7.84730i −0.199050 0.677903i
\(135\) 0.412077 + 0.188189i 0.0354660 + 0.0161968i
\(136\) 0.0788880 + 0.548678i 0.00676459 + 0.0470487i
\(137\) 2.02912i 0.173360i 0.996236 + 0.0866798i \(0.0276257\pi\)
−0.996236 + 0.0866798i \(0.972374\pi\)
\(138\) −2.36970 + 4.16947i −0.201723 + 0.354929i
\(139\) 12.0464i 1.02176i 0.859651 + 0.510881i \(0.170681\pi\)
−0.859651 + 0.510881i \(0.829319\pi\)
\(140\) −0.0493160 1.19755i −0.00416796 0.101212i
\(141\) −3.62502 + 7.93769i −0.305282 + 0.668475i
\(142\) −5.01674 + 1.47305i −0.420996 + 0.123615i
\(143\) −3.52749 + 4.07094i −0.294984 + 0.340429i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) −3.36914 + 2.16522i −0.279792 + 0.179812i
\(146\) −8.12597 + 3.71101i −0.672510 + 0.307125i
\(147\) −6.10677 + 3.42160i −0.503678 + 0.282209i
\(148\) −2.08561 + 3.24528i −0.171436 + 0.266760i
\(149\) −19.7415 2.83840i −1.61729 0.232531i −0.726572 0.687091i \(-0.758887\pi\)
−0.890716 + 0.454560i \(0.849797\pi\)
\(150\) −4.74597 0.682368i −0.387507 0.0557151i
\(151\) 13.2148 + 8.49266i 1.07541 + 0.691123i 0.953492 0.301418i \(-0.0974598\pi\)
0.121916 + 0.992540i \(0.461096\pi\)
\(152\) −0.696184 0.803439i −0.0564680 0.0651675i
\(153\) 0.230273 + 0.504227i 0.0186165 + 0.0407644i
\(154\) −1.51949 2.99461i −0.122444 0.241313i
\(155\) 0.606721 2.06630i 0.0487330 0.165969i
\(156\) −2.77924 + 3.20742i −0.222518 + 0.256799i
\(157\) 8.47013 2.48706i 0.675990 0.198489i 0.0743215 0.997234i \(-0.476321\pi\)
0.601669 + 0.798746i \(0.294503\pi\)
\(158\) 8.80142 + 4.01947i 0.700203 + 0.319772i
\(159\) 0.553646 + 3.85070i 0.0439070 + 0.305380i
\(160\) 0.453015 0.0358140
\(161\) 12.3299 2.99560i 0.971732 0.236086i
\(162\) 1.00000 0.0785674
\(163\) −2.44867 17.0309i −0.191795 1.33396i −0.827255 0.561827i \(-0.810099\pi\)
0.635460 0.772134i \(-0.280811\pi\)
\(164\) 0.801969 + 0.366247i 0.0626232 + 0.0285991i
\(165\) 0.551689 0.161990i 0.0429489 0.0126109i
\(166\) 9.54566 11.0163i 0.740887 0.855029i
\(167\) 1.56725 5.33757i 0.121278 0.413034i −0.876366 0.481646i \(-0.840039\pi\)
0.997643 + 0.0686125i \(0.0218572\pi\)
\(168\) −1.19718 2.35940i −0.0923643 0.182032i
\(169\) −2.08194 4.55882i −0.160149 0.350678i
\(170\) 0.164446 + 0.189780i 0.0126124 + 0.0145555i
\(171\) −0.894338 0.574756i −0.0683918 0.0439527i
\(172\) −5.65761 0.813441i −0.431389 0.0620243i
\(173\) −0.710275 0.102122i −0.0540012 0.00776420i 0.115261 0.993335i \(-0.463229\pi\)
−0.169262 + 0.985571i \(0.554139\pi\)
\(174\) −4.77957 + 7.43715i −0.362338 + 0.563809i
\(175\) 7.29175 + 10.3807i 0.551205 + 0.784709i
\(176\) 1.15453 0.527256i 0.0870259 0.0397434i
\(177\) −11.8103 + 7.59001i −0.887716 + 0.570500i
\(178\) −6.17859 1.81420i −0.463105 0.135980i
\(179\) −14.6945 + 16.9584i −1.09832 + 1.26753i −0.137454 + 0.990508i \(0.543892\pi\)
−0.960865 + 0.277019i \(0.910654\pi\)
\(180\) 0.434665 0.127629i 0.0323980 0.00951292i
\(181\) −4.50792 + 9.87096i −0.335071 + 0.733703i −0.999912 0.0132821i \(-0.995772\pi\)
0.664841 + 0.746985i \(0.268499\pi\)
\(182\) 11.2191 0.462011i 0.831616 0.0342465i
\(183\) 14.1957i 1.04938i
\(184\) 0.939521 + 4.70290i 0.0692624 + 0.346703i
\(185\) 1.74758i 0.128485i
\(186\) −0.676533 4.70539i −0.0496058 0.345016i
\(187\) 0.639979 + 0.292269i 0.0467999 + 0.0213728i
\(188\) 2.45847 + 8.37280i 0.179303 + 0.610649i
\(189\) −1.81340 1.92654i −0.131906 0.140135i
\(190\) −0.462093 0.135683i −0.0335238 0.00984347i
\(191\) 5.74041 + 8.93225i 0.415361 + 0.646315i 0.984390 0.176003i \(-0.0563169\pi\)
−0.569028 + 0.822318i \(0.692681\pi\)
\(192\) 0.909632 0.415415i 0.0656470 0.0299800i
\(193\) −7.31374 8.44051i −0.526455 0.607561i 0.428780 0.903409i \(-0.358943\pi\)
−0.955235 + 0.295848i \(0.904398\pi\)
\(194\) 14.4567 + 9.29075i 1.03793 + 0.667037i
\(195\) −0.273615 + 1.90304i −0.0195940 + 0.136279i
\(196\) −2.37452 + 6.58496i −0.169608 + 0.470354i
\(197\) 20.6726 + 13.2855i 1.47286 + 0.946550i 0.997779 + 0.0666090i \(0.0212180\pi\)
0.475082 + 0.879941i \(0.342418\pi\)
\(198\) 0.959218 0.831167i 0.0681686 0.0590685i
\(199\) −5.05198 11.0623i −0.358125 0.784185i −0.999851 0.0172509i \(-0.994509\pi\)
0.641726 0.766934i \(-0.278219\pi\)
\(200\) −4.03362 + 2.59225i −0.285220 + 0.183300i
\(201\) −7.84730 2.30417i −0.553506 0.162524i
\(202\) −4.74677 4.11310i −0.333981 0.289396i
\(203\) 22.9953 4.27852i 1.61395 0.300293i
\(204\) 0.504227 + 0.230273i 0.0353030 + 0.0161223i
\(205\) 0.395331 0.0568401i 0.0276111 0.00396988i
\(206\) −1.01292 −0.0705737
\(207\) 2.22642 + 4.24771i 0.154747 + 0.295236i
\(208\) 4.24402i 0.294270i
\(209\) −1.33558 + 0.192028i −0.0923843 + 0.0132829i
\(210\) −1.03411 0.605958i −0.0713601 0.0418150i
\(211\) −12.0211 + 3.52971i −0.827565 + 0.242995i −0.667971 0.744188i \(-0.732837\pi\)
−0.159595 + 0.987183i \(0.551019\pi\)
\(212\) 2.94009 + 2.54760i 0.201926 + 0.174970i
\(213\) −1.47305 + 5.01674i −0.100932 + 0.343742i
\(214\) −8.03377 12.5008i −0.549177 0.854536i
\(215\) −2.35535 + 1.07565i −0.160633 + 0.0733587i
\(216\) 0.755750 0.654861i 0.0514222 0.0445576i
\(217\) −7.83831 + 9.83614i −0.532099 + 0.667721i
\(218\) −13.1151 1.88567i −0.888269 0.127714i
\(219\) −1.27133 + 8.84232i −0.0859088 + 0.597509i
\(220\) 0.310857 0.483703i 0.0209580 0.0326113i
\(221\) −1.77794 + 1.54059i −0.119597 + 0.103631i
\(222\) 1.60253 + 3.50906i 0.107555 + 0.235512i
\(223\) 1.78563 + 2.77849i 0.119574 + 0.186061i 0.895881 0.444294i \(-0.146545\pi\)
−0.776307 + 0.630356i \(0.782909\pi\)
\(224\) −2.44984 0.999130i −0.163687 0.0667572i
\(225\) −3.13991 + 3.62365i −0.209327 + 0.241577i
\(226\) 4.32014 + 14.7130i 0.287371 + 0.978697i
\(227\) 6.15857 13.4854i 0.408758 0.895056i −0.587548 0.809189i \(-0.699907\pi\)
0.996307 0.0858670i \(-0.0273660\pi\)
\(228\) −1.05228 + 0.151295i −0.0696890 + 0.0100198i
\(229\) −19.5216 −1.29002 −0.645012 0.764173i \(-0.723147\pi\)
−0.645012 + 0.764173i \(0.723147\pi\)
\(230\) 1.50988 + 1.56217i 0.0995586 + 0.103007i
\(231\) −3.34073 0.340733i −0.219804 0.0224186i
\(232\) 1.25814 + 8.75058i 0.0826011 + 0.574504i
\(233\) 1.26005 2.75912i 0.0825486 0.180756i −0.863857 0.503738i \(-0.831958\pi\)
0.946405 + 0.322981i \(0.104685\pi\)
\(234\) 1.19568 + 4.07211i 0.0781640 + 0.266202i
\(235\) 2.98758 + 2.58875i 0.194888 + 0.168872i
\(236\) −3.95522 + 13.4702i −0.257463 + 0.876838i
\(237\) 8.13980 5.23113i 0.528737 0.339799i
\(238\) −0.470737 1.38899i −0.0305133 0.0900350i
\(239\) 4.76259 + 5.49632i 0.308066 + 0.355527i 0.888579 0.458724i \(-0.151693\pi\)
−0.580513 + 0.814251i \(0.697148\pi\)
\(240\) 0.244919 0.381101i 0.0158094 0.0245999i
\(241\) 0.855816 5.95233i 0.0551280 0.383423i −0.943514 0.331332i \(-0.892502\pi\)
0.998642 0.0520917i \(-0.0165888\pi\)
\(242\) −1.33620 + 9.29350i −0.0858944 + 0.597409i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) −9.29620 10.7284i −0.595128 0.686815i
\(245\) 0.707848 + 3.09110i 0.0452228 + 0.197483i
\(246\) 0.741683 0.476651i 0.0472880 0.0303902i
\(247\) 1.27113 4.32907i 0.0808800 0.275452i
\(248\) −3.59267 3.11306i −0.228134 0.197680i
\(249\) −4.10671 13.9862i −0.260252 0.886337i
\(250\) −1.84327 + 4.03620i −0.116579 + 0.255272i
\(251\) 1.78867 + 12.4405i 0.112900 + 0.785235i 0.965074 + 0.261977i \(0.0843745\pi\)
−0.852174 + 0.523258i \(0.824716\pi\)
\(252\) −2.63210 0.268457i −0.165806 0.0169112i
\(253\) 5.66618 + 2.22395i 0.356230 + 0.139818i
\(254\) 14.8801 0.933662
\(255\) 0.248559 0.0357375i 0.0155654 0.00223797i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −4.47382 15.2364i −0.279069 0.950422i −0.973082 0.230460i \(-0.925977\pi\)
0.694013 0.719963i \(-0.255841\pi\)
\(258\) −3.74304 + 4.31970i −0.233032 + 0.268933i
\(259\) 3.85431 9.45068i 0.239495 0.587237i
\(260\) 1.03944 + 1.61740i 0.0644633 + 0.100307i
\(261\) 3.67250 + 8.04166i 0.227322 + 0.497766i
\(262\) 16.1165 13.9651i 0.995683 0.862764i
\(263\) −10.8802 + 16.9299i −0.670901 + 1.04394i 0.324286 + 0.945959i \(0.394876\pi\)
−0.995188 + 0.0979842i \(0.968761\pi\)
\(264\) 0.180630 1.25631i 0.0111170 0.0773204i
\(265\) 1.74442 + 0.250810i 0.107159 + 0.0154072i
\(266\) 2.19969 + 1.75291i 0.134871 + 0.107478i
\(267\) −4.86660 + 4.21693i −0.297831 + 0.258072i
\(268\) −7.43950 + 3.39751i −0.454440 + 0.207536i
\(269\) −5.26357 8.19027i −0.320925 0.499370i 0.642883 0.765964i \(-0.277738\pi\)
−0.963809 + 0.266594i \(0.914102\pi\)
\(270\) 0.127629 0.434665i 0.00776726 0.0264529i
\(271\) −9.55148 8.27640i −0.580211 0.502756i 0.314586 0.949229i \(-0.398134\pi\)
−0.894797 + 0.446473i \(0.852680\pi\)
\(272\) 0.531866 0.156170i 0.0322491 0.00946920i
\(273\) 5.67684 9.68790i 0.343578 0.586339i
\(274\) 2.00847 0.288774i 0.121336 0.0174455i
\(275\) 6.08566i 0.366979i
\(276\) 4.46428 + 1.75221i 0.268718 + 0.105470i
\(277\) −3.42225 −0.205623 −0.102811 0.994701i \(-0.532784\pi\)
−0.102811 + 0.994701i \(0.532784\pi\)
\(278\) 11.9238 1.71438i 0.715141 0.102822i
\(279\) −4.32419 1.97479i −0.258882 0.118228i
\(280\) −1.17834 + 0.219243i −0.0704195 + 0.0131023i
\(281\) −15.5389 13.4646i −0.926975 0.803228i 0.0537637 0.998554i \(-0.482878\pi\)
−0.980738 + 0.195325i \(0.937424\pi\)
\(282\) 8.37280 + 2.45847i 0.498593 + 0.146400i
\(283\) 2.66602 1.71335i 0.158478 0.101848i −0.458998 0.888437i \(-0.651791\pi\)
0.617476 + 0.786589i \(0.288155\pi\)
\(284\) 2.17201 + 4.75604i 0.128885 + 0.282219i
\(285\) −0.363970 + 0.315382i −0.0215597 + 0.0186816i
\(286\) 4.53152 + 2.91223i 0.267954 + 0.172204i
\(287\) −2.26326 0.564524i −0.133596 0.0333228i
\(288\) 0.142315 0.989821i 0.00838598 0.0583258i
\(289\) −14.0428 9.02477i −0.826048 0.530869i
\(290\) 2.62266 + 3.02671i 0.154008 + 0.177734i
\(291\) 15.6317 7.13878i 0.916349 0.418483i
\(292\) 4.82968 + 7.51513i 0.282636 + 0.439790i
\(293\) 9.05405 + 2.65851i 0.528943 + 0.155312i 0.535290 0.844668i \(-0.320202\pi\)
−0.00634727 + 0.999980i \(0.502020\pi\)
\(294\) 4.25586 + 5.55767i 0.248207 + 0.324130i
\(295\) 1.79178 + 6.10223i 0.104321 + 0.355285i
\(296\) 3.50906 + 1.60253i 0.203960 + 0.0931453i
\(297\) −0.180630 1.25631i −0.0104812 0.0728984i
\(298\) 19.9445i 1.15535i
\(299\) −14.6350 + 14.1451i −0.846366 + 0.818034i
\(300\) 4.79478i 0.276827i
\(301\) 15.1097 0.622230i 0.870911 0.0358647i
\(302\) 6.52555 14.2890i 0.375503 0.822237i
\(303\) −6.02645 + 1.76953i −0.346211 + 0.101657i
\(304\) −0.696184 + 0.803439i −0.0399289 + 0.0460804i
\(305\) −6.17037 1.81178i −0.353314 0.103742i
\(306\) 0.466324 0.299688i 0.0266579 0.0171320i
\(307\) −0.252316 + 0.115229i −0.0144004 + 0.00657646i −0.422602 0.906315i \(-0.638883\pi\)
0.408202 + 0.912892i \(0.366156\pi\)
\(308\) −2.74789 + 1.93020i −0.156575 + 0.109984i
\(309\) −0.547627 + 0.852125i −0.0311534 + 0.0484757i
\(310\) −2.13161 0.306480i −0.121068 0.0174069i
\(311\) −15.0812 2.16834i −0.855174 0.122955i −0.299236 0.954179i \(-0.596732\pi\)
−0.555938 + 0.831224i \(0.687641\pi\)
\(312\) 3.57030 + 2.29449i 0.202128 + 0.129900i
\(313\) 12.9617 + 14.9586i 0.732637 + 0.845509i 0.992766 0.120065i \(-0.0383104\pi\)
−0.260129 + 0.965574i \(0.583765\pi\)
\(314\) −3.66717 8.02997i −0.206950 0.453158i
\(315\) −1.06884 + 0.542340i −0.0602225 + 0.0305574i
\(316\) 2.72599 9.28386i 0.153349 0.522258i
\(317\) 1.72545 1.99127i 0.0969108 0.111841i −0.705222 0.708986i \(-0.749153\pi\)
0.802133 + 0.597145i \(0.203698\pi\)
\(318\) 3.73271 1.09602i 0.209320 0.0614619i
\(319\) 10.2067 + 4.66124i 0.571465 + 0.260979i
\(320\) −0.0644708 0.448404i −0.00360403 0.0250666i
\(321\) −14.8597 −0.829388
\(322\) −4.71983 11.7781i −0.263026 0.656367i
\(323\) −0.589299 −0.0327895
\(324\) −0.142315 0.989821i −0.00790638 0.0549901i
\(325\) −18.5102 8.45334i −1.02676 0.468907i
\(326\) −16.5090 + 4.84749i −0.914351 + 0.268478i
\(327\) −8.67690 + 10.0137i −0.479834 + 0.553758i
\(328\) 0.248387 0.845928i 0.0137149 0.0467086i
\(329\) −10.4469 20.5888i −0.575956 1.13509i
\(330\) −0.238855 0.523020i −0.0131485 0.0287913i
\(331\) 0.673466 + 0.777222i 0.0370171 + 0.0427200i 0.773956 0.633239i \(-0.218275\pi\)
−0.736939 + 0.675959i \(0.763730\pi\)
\(332\) −12.2626 7.88072i −0.673000 0.432511i
\(333\) 3.81840 + 0.549003i 0.209247 + 0.0300852i
\(334\) −5.50629 0.791684i −0.301291 0.0433190i
\(335\) −2.00309 + 3.11687i −0.109440 + 0.170293i
\(336\) −2.16501 + 1.52077i −0.118111 + 0.0829648i
\(337\) 0.646710 0.295343i 0.0352285 0.0160883i −0.397723 0.917506i \(-0.630199\pi\)
0.432951 + 0.901417i \(0.357472\pi\)
\(338\) −4.21612 + 2.70954i −0.229327 + 0.147379i
\(339\) 14.7130 + 4.32014i 0.799103 + 0.234638i
\(340\) 0.164446 0.189780i 0.00891832 0.0102923i
\(341\) −5.78922 + 1.69987i −0.313504 + 0.0920530i
\(342\) −0.441629 + 0.967032i −0.0238805 + 0.0522911i
\(343\) 2.98950 18.2774i 0.161418 0.986886i
\(344\) 5.71579i 0.308175i
\(345\) 2.13049 0.425617i 0.114702 0.0229145i
\(346\) 0.717579i 0.0385773i
\(347\) −2.45231 17.0562i −0.131647 0.915625i −0.943408 0.331635i \(-0.892400\pi\)
0.811761 0.583990i \(-0.198509\pi\)
\(348\) 8.04166 + 3.67250i 0.431078 + 0.196867i
\(349\) 6.12198 + 20.8495i 0.327702 + 1.11605i 0.944386 + 0.328840i \(0.106658\pi\)
−0.616684 + 0.787211i \(0.711524\pi\)
\(350\) 9.23734 8.69487i 0.493757 0.464760i
\(351\) 4.07211 + 1.19568i 0.217353 + 0.0638206i
\(352\) −0.686196 1.06774i −0.0365744 0.0569108i
\(353\) 2.77769 1.26853i 0.147841 0.0675169i −0.340120 0.940382i \(-0.610468\pi\)
0.487962 + 0.872865i \(0.337741\pi\)
\(354\) 9.19354 + 10.6099i 0.488631 + 0.563910i
\(355\) 1.99260 + 1.28057i 0.105756 + 0.0679653i
\(356\) −0.916426 + 6.37389i −0.0485705 + 0.337815i
\(357\) −1.42299 0.354937i −0.0753129 0.0187853i
\(358\) 18.8770 + 12.1315i 0.997680 + 0.641170i
\(359\) 17.3321 15.0184i 0.914754 0.792639i −0.0639417 0.997954i \(-0.520367\pi\)
0.978696 + 0.205314i \(0.0658217\pi\)
\(360\) −0.188189 0.412077i −0.00991845 0.0217184i
\(361\) −15.0330 + 9.66115i −0.791213 + 0.508482i
\(362\) 10.4120 + 3.05725i 0.547244 + 0.160685i
\(363\) 7.09578 + 6.14853i 0.372432 + 0.322714i
\(364\) −2.05395 11.0392i −0.107656 0.578610i
\(365\) 3.68119 + 1.68114i 0.192682 + 0.0879950i
\(366\) −14.0512 + 2.02026i −0.734468 + 0.105601i
\(367\) 17.1739 0.896469 0.448235 0.893916i \(-0.352053\pi\)
0.448235 + 0.893916i \(0.352053\pi\)
\(368\) 4.52133 1.59925i 0.235690 0.0833667i
\(369\) 0.881641i 0.0458964i
\(370\) 1.72979 0.248707i 0.0899277 0.0129297i
\(371\) −8.88044 5.20369i −0.461050 0.270162i
\(372\) −4.56122 + 1.33929i −0.236488 + 0.0694392i
\(373\) −10.1929 8.83219i −0.527768 0.457314i 0.349760 0.936839i \(-0.386263\pi\)
−0.877528 + 0.479526i \(0.840809\pi\)
\(374\) 0.198215 0.675059i 0.0102495 0.0349065i
\(375\) 2.39892 + 3.73280i 0.123880 + 0.192761i
\(376\) 7.93769 3.62502i 0.409355 0.186946i
\(377\) −28.3554 + 24.5701i −1.46038 + 1.26542i
\(378\) −1.64886 + 2.06912i −0.0848082 + 0.106424i
\(379\) −8.33313 1.19812i −0.428044 0.0615434i −0.0750737 0.997178i \(-0.523919\pi\)
−0.352970 + 0.935635i \(0.614828\pi\)
\(380\) −0.0685390 + 0.476700i −0.00351598 + 0.0244542i
\(381\) 8.04480 12.5180i 0.412148 0.641314i
\(382\) 8.02438 6.95317i 0.410563 0.355755i
\(383\) −4.88632 10.6995i −0.249679 0.546721i 0.742746 0.669573i \(-0.233523\pi\)
−0.992425 + 0.122852i \(0.960796\pi\)
\(384\) −0.540641 0.841254i −0.0275895 0.0429300i
\(385\) −0.574479 + 1.40861i −0.0292782 + 0.0717894i
\(386\) −7.31374 + 8.44051i −0.372260 + 0.429611i
\(387\) 1.61032 + 5.48426i 0.0818573 + 0.278780i
\(388\) 7.13878 15.6317i 0.362417 0.793582i
\(389\) −24.1657 + 3.47450i −1.22525 + 0.176164i −0.724406 0.689374i \(-0.757886\pi\)
−0.500843 + 0.865538i \(0.666977\pi\)
\(390\) 1.92261 0.0973550
\(391\) 2.31122 + 1.31357i 0.116884 + 0.0664303i
\(392\) 6.85586 + 1.41321i 0.346273 + 0.0713779i
\(393\) −3.03490 21.1082i −0.153090 1.06477i
\(394\) 10.2082 22.3529i 0.514283 1.12612i
\(395\) −1.23491 4.20573i −0.0621353 0.211613i
\(396\) −0.959218 0.831167i −0.0482025 0.0417677i
\(397\) 0.506566 1.72521i 0.0254238 0.0865856i −0.945804 0.324738i \(-0.894724\pi\)
0.971228 + 0.238153i \(0.0765419\pi\)
\(398\) −10.2307 + 6.57488i −0.512820 + 0.329569i
\(399\) 2.66388 0.902802i 0.133361 0.0451966i
\(400\) 3.13991 + 3.62365i 0.156996 + 0.181183i
\(401\) −4.44905 + 6.92286i −0.222175 + 0.345711i −0.934391 0.356249i \(-0.884055\pi\)
0.712216 + 0.701960i \(0.247692\pi\)
\(402\) −1.16393 + 8.09534i −0.0580518 + 0.403759i
\(403\) 2.87122 19.9698i 0.143026 0.994765i
\(404\) −3.39570 + 5.28381i −0.168942 + 0.262879i
\(405\) −0.296662 0.342366i −0.0147412 0.0170123i
\(406\) −7.50754 22.1523i −0.372593 1.09940i
\(407\) 4.11899 2.64712i 0.204171 0.131213i
\(408\) 0.156170 0.531866i 0.00773157 0.0263313i
\(409\) 25.2968 + 21.9198i 1.25084 + 1.08386i 0.993054 + 0.117662i \(0.0375399\pi\)
0.257790 + 0.966201i \(0.417006\pi\)
\(410\) −0.112523 0.383218i −0.00555712 0.0189258i
\(411\) 0.842927 1.84575i 0.0415785 0.0910443i
\(412\) 0.144154 + 1.00261i 0.00710196 + 0.0493952i
\(413\) 3.76885 36.9518i 0.185453 1.81828i
\(414\) 3.88762 2.80827i 0.191066 0.138019i
\(415\) −6.60343 −0.324150
\(416\) 4.20082 0.603987i 0.205962 0.0296129i
\(417\) 5.00426 10.9578i 0.245060 0.536605i
\(418\) 0.380147 + 1.29466i 0.0185936 + 0.0633240i
\(419\) 6.57181 7.58428i 0.321054 0.370516i −0.572164 0.820139i \(-0.693896\pi\)
0.893219 + 0.449623i \(0.148442\pi\)
\(420\) −0.452621 + 1.10982i −0.0220857 + 0.0541535i
\(421\) −17.8263 27.7383i −0.868801 1.35188i −0.935212 0.354089i \(-0.884791\pi\)
0.0664103 0.997792i \(-0.478845\pi\)
\(422\) 5.20456 + 11.3964i 0.253354 + 0.554768i
\(423\) 6.59488 5.71449i 0.320654 0.277848i
\(424\) 2.10325 3.27272i 0.102143 0.158937i
\(425\) −0.378250 + 2.63079i −0.0183478 + 0.127612i
\(426\) 5.17532 + 0.744098i 0.250745 + 0.0360517i
\(427\) 29.3726 + 23.4067i 1.42144 + 1.13273i
\(428\) −11.2302 + 9.73104i −0.542833 + 0.470368i
\(429\) 4.89985 2.23769i 0.236567 0.108036i
\(430\) 1.39990 + 2.17829i 0.0675093 + 0.105046i
\(431\) 1.86565 6.35384i 0.0898654 0.306054i −0.902279 0.431153i \(-0.858107\pi\)
0.992144 + 0.125100i \(0.0399250\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) 14.9964 4.40333i 0.720680 0.211611i 0.0992297 0.995065i \(-0.468362\pi\)
0.621450 + 0.783454i \(0.286544\pi\)
\(434\) 10.8515 + 6.35870i 0.520890 + 0.305227i
\(435\) 3.96415 0.569958i 0.190066 0.0273274i
\(436\) 13.2500i 0.634560i
\(437\) −5.09092 + 0.277113i −0.243532 + 0.0132561i
\(438\) 8.93325 0.426847
\(439\) −19.8719 + 2.85715i −0.948434 + 0.136364i −0.599136 0.800647i \(-0.704489\pi\)
−0.349298 + 0.937012i \(0.613580\pi\)
\(440\) −0.523020 0.238855i −0.0249340 0.0113870i
\(441\) 6.97630 0.575554i 0.332205 0.0274073i
\(442\) 1.77794 + 1.54059i 0.0845678 + 0.0732784i
\(443\) 22.5687 + 6.62677i 1.07227 + 0.314848i 0.769783 0.638305i \(-0.220364\pi\)
0.302489 + 0.953153i \(0.402182\pi\)
\(444\) 3.24528 2.08561i 0.154014 0.0989788i
\(445\) 1.21183 + 2.65354i 0.0574464 + 0.125790i
\(446\) 2.49609 2.16287i 0.118193 0.102415i
\(447\) 16.7784 + 10.7828i 0.793591 + 0.510010i
\(448\) −0.640311 + 2.56710i −0.0302519 + 0.121284i
\(449\) 2.35522 16.3809i 0.111150 0.773064i −0.855655 0.517547i \(-0.826845\pi\)
0.966805 0.255517i \(-0.0822456\pi\)
\(450\) 4.03362 + 2.59225i 0.190147 + 0.122200i
\(451\) −0.732791 0.845685i −0.0345058 0.0398218i
\(452\) 13.9485 6.37005i 0.656081 0.299622i
\(453\) −8.49266 13.2148i −0.399020 0.620887i
\(454\) −14.2246 4.17671i −0.667592 0.196023i
\(455\) −3.48646 3.70398i −0.163448 0.173645i
\(456\) 0.299510 + 1.02004i 0.0140259 + 0.0477677i
\(457\) 9.86563 + 4.50548i 0.461494 + 0.210757i 0.632574 0.774500i \(-0.281998\pi\)
−0.171080 + 0.985257i \(0.554726\pi\)
\(458\) 2.77821 + 19.3229i 0.129817 + 0.902899i
\(459\) 0.554320i 0.0258734i
\(460\) 1.33139 1.71683i 0.0620766 0.0800477i
\(461\) 6.04515i 0.281551i 0.990042 + 0.140775i \(0.0449595\pi\)
−0.990042 + 0.140775i \(0.955040\pi\)
\(462\) 0.138170 + 3.35522i 0.00642826 + 0.156099i
\(463\) 14.4679 31.6804i 0.672382 1.47231i −0.198136 0.980175i \(-0.563489\pi\)
0.870518 0.492137i \(-0.163784\pi\)
\(464\) 8.48246 2.49067i 0.393788 0.115627i
\(465\) −1.41026 + 1.62753i −0.0653995 + 0.0754750i
\(466\) −2.91036 0.854560i −0.134820 0.0395867i
\(467\) −13.8190 + 8.88090i −0.639465 + 0.410959i −0.819803 0.572645i \(-0.805917\pi\)
0.180338 + 0.983605i \(0.442281\pi\)
\(468\) 3.86050 1.76303i 0.178452 0.0814961i
\(469\) 17.7067 12.4377i 0.817620 0.574322i
\(470\) 2.13723 3.32559i 0.0985829 0.153398i
\(471\) −8.73786 1.25632i −0.402620 0.0578880i
\(472\) 13.8960 + 1.99795i 0.639616 + 0.0919629i
\(473\) 6.10298 + 3.92215i 0.280615 + 0.180341i
\(474\) −6.33630 7.31248i −0.291036 0.335873i
\(475\) −2.11751 4.63670i −0.0971580 0.212746i
\(476\) −1.30786 + 0.663620i −0.0599458 + 0.0304170i
\(477\) 1.09602 3.73271i 0.0501834 0.170909i
\(478\) 4.76259 5.49632i 0.217836 0.251396i
\(479\) −24.9489 + 7.32564i −1.13994 + 0.334717i −0.796608 0.604496i \(-0.793374\pi\)
−0.343334 + 0.939213i \(0.611556\pi\)
\(480\) −0.412077 0.188189i −0.0188087 0.00858963i
\(481\) 2.32998 + 16.2054i 0.106238 + 0.738901i
\(482\) −6.01354 −0.273909
\(483\) −12.4601 2.39713i −0.566954 0.109073i
\(484\) 9.38906 0.426776
\(485\) −1.10791 7.70569i −0.0503077 0.349897i
\(486\) −0.909632 0.415415i −0.0412617 0.0188436i
\(487\) 19.0013 5.57930i 0.861033 0.252822i 0.178736 0.983897i \(-0.442799\pi\)
0.682297 + 0.731075i \(0.260981\pi\)
\(488\) −9.29620 + 10.7284i −0.420819 + 0.485651i
\(489\) −4.84749 + 16.5090i −0.219211 + 0.746565i
\(490\) 2.95890 1.14055i 0.133669 0.0515249i
\(491\) −0.503548 1.10262i −0.0227248 0.0497604i 0.897929 0.440140i \(-0.145071\pi\)
−0.920654 + 0.390379i \(0.872344\pi\)
\(492\) −0.577352 0.666300i −0.0260290 0.0300391i
\(493\) 4.12256 + 2.64941i 0.185671 + 0.119323i
\(494\) −4.46590 0.642100i −0.200931 0.0288894i
\(495\) −0.569127 0.0818281i −0.0255804 0.00367790i
\(496\) −2.57009 + 3.99913i −0.115400 + 0.179566i
\(497\) −7.95140 11.3198i −0.356669 0.507763i
\(498\) −13.2594 + 6.05535i −0.594166 + 0.271347i
\(499\) −19.6650 + 12.6379i −0.880327 + 0.565752i −0.900895 0.434037i \(-0.857089\pi\)
0.0205681 + 0.999788i \(0.493453\pi\)
\(500\) 4.25745 + 1.25010i 0.190399 + 0.0559061i
\(501\) −3.64293 + 4.20417i −0.162754 + 0.187828i
\(502\) 12.0593 3.54093i 0.538232 0.158039i
\(503\) 0.620290 1.35824i 0.0276573 0.0605611i −0.895299 0.445465i \(-0.853038\pi\)
0.922957 + 0.384904i \(0.125766\pi\)
\(504\) 0.108862 + 2.64351i 0.00484908 + 0.117751i
\(505\) 2.84533i 0.126616i
\(506\) 1.39493 5.92501i 0.0620122 0.263399i
\(507\) 5.01171i 0.222578i
\(508\) −2.11766 14.7287i −0.0939560 0.653479i
\(509\) −13.7559 6.28209i −0.609717 0.278449i 0.0865314 0.996249i \(-0.472422\pi\)
−0.696249 + 0.717801i \(0.745149\pi\)
\(510\) −0.0707474 0.240944i −0.00313275 0.0106692i
\(511\) −16.1996 17.2103i −0.716628 0.761339i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.574756 + 0.894338i 0.0253761 + 0.0394860i
\(514\) −14.4447 + 6.59665i −0.637126 + 0.290966i
\(515\) 0.300496 + 0.346790i 0.0132414 + 0.0152814i
\(516\) 4.80842 + 3.09019i 0.211679 + 0.136038i
\(517\) 1.57623 10.9629i 0.0693223 0.482147i
\(518\) −9.90301 2.47011i −0.435113 0.108530i
\(519\) 0.603666 + 0.387952i 0.0264980 + 0.0170292i
\(520\) 1.45301 1.25904i 0.0637187 0.0552125i
\(521\) −6.26485 13.7181i −0.274468 0.601001i 0.721329 0.692593i \(-0.243532\pi\)
−0.995797 + 0.0915917i \(0.970805\pi\)
\(522\) 7.43715 4.77957i 0.325515 0.209196i
\(523\) −32.5362 9.55348i −1.42271 0.417744i −0.522288 0.852769i \(-0.674921\pi\)
−0.900419 + 0.435025i \(0.856740\pi\)
\(524\) −16.1165 13.9651i −0.704054 0.610066i
\(525\) −2.32050 12.4717i −0.101275 0.544312i
\(526\) 18.3060 + 8.36007i 0.798180 + 0.364516i
\(527\) −2.60829 + 0.375016i −0.113619 + 0.0163359i
\(528\) −1.26923 −0.0552360
\(529\) 20.5842 + 10.2611i 0.894966 + 0.446134i
\(530\) 1.76236i 0.0765521i
\(531\) 13.8960 1.99795i 0.603036 0.0867035i
\(532\) 1.42202 2.42676i 0.0616522 0.105213i
\(533\) 3.59014 1.05416i 0.155506 0.0456607i
\(534\) 4.86660 + 4.21693i 0.210598 + 0.182484i
\(535\) −1.89653 + 6.45900i −0.0819943 + 0.279247i
\(536\) 4.42168 + 6.88027i 0.190987 + 0.297182i
\(537\) 20.4113 9.32155i 0.880814 0.402254i
\(538\) −7.35782 + 6.37559i −0.317218 + 0.274871i
\(539\) 6.21341 6.35055i 0.267630 0.273538i
\(540\) −0.448404 0.0644708i −0.0192962 0.00277438i
\(541\) −0.586210 + 4.07718i −0.0252032 + 0.175292i −0.998535 0.0541099i \(-0.982768\pi\)
0.973332 + 0.229402i \(0.0736769\pi\)
\(542\) −6.83284 + 10.6321i −0.293496 + 0.456688i
\(543\) 8.20109 7.10629i 0.351943 0.304960i
\(544\) −0.230273 0.504227i −0.00987287 0.0216186i
\(545\) 3.24517 + 5.04958i 0.139008 + 0.216300i
\(546\) −10.3972 4.24033i −0.444959 0.181469i
\(547\) 19.3512 22.3325i 0.827399 0.954869i −0.172145 0.985072i \(-0.555070\pi\)
0.999544 + 0.0302026i \(0.00961526\pi\)
\(548\) −0.571670 1.94693i −0.0244205 0.0831686i
\(549\) −5.89710 + 12.9129i −0.251682 + 0.551107i
\(550\) 6.02372 0.866080i 0.256852 0.0369298i
\(551\) −9.39842 −0.400386
\(552\) 1.09904 4.66820i 0.0467782 0.198692i
\(553\) −2.59754 + 25.4676i −0.110459 + 1.08299i
\(554\) 0.487037 + 3.38742i 0.0206922 + 0.143917i
\(555\) 0.725972 1.58966i 0.0308158 0.0674772i
\(556\) −3.39386 11.5584i −0.143932 0.490187i
\(557\) 13.3158 + 11.5382i 0.564207 + 0.488888i 0.889631 0.456680i \(-0.150962\pi\)
−0.325424 + 0.945568i \(0.605507\pi\)
\(558\) −1.33929 + 4.56122i −0.0566968 + 0.193092i
\(559\) −20.4071 + 13.1148i −0.863127 + 0.554698i
\(560\) 0.384707 + 1.13515i 0.0162569 + 0.0479687i
\(561\) −0.460733 0.531714i −0.0194521 0.0224490i
\(562\) −11.1161 + 17.2970i −0.468904 + 0.729629i
\(563\) 0.755485 5.25451i 0.0318399 0.221451i −0.967689 0.252147i \(-0.918863\pi\)
0.999529 + 0.0306960i \(0.00977236\pi\)
\(564\) 1.24188 8.63745i 0.0522925 0.363702i
\(565\) 3.75563 5.84387i 0.158000 0.245853i
\(566\) −2.07532 2.39505i −0.0872322 0.100671i
\(567\) 0.849215 + 2.50576i 0.0356637 + 0.105232i
\(568\) 4.39852 2.82676i 0.184558 0.118608i
\(569\) 6.25165 21.2912i 0.262083 0.892572i −0.718344 0.695688i \(-0.755100\pi\)
0.980427 0.196884i \(-0.0630823\pi\)
\(570\) 0.363970 + 0.315382i 0.0152450 + 0.0132099i
\(571\) −9.33889 31.8053i −0.390820 1.33101i −0.886589 0.462557i \(-0.846932\pi\)
0.495769 0.868454i \(-0.334886\pi\)
\(572\) 2.23769 4.89985i 0.0935623 0.204873i
\(573\) −1.51107 10.5097i −0.0631258 0.439049i
\(574\) −0.236683 + 2.32056i −0.00987895 + 0.0968584i
\(575\) −2.03058 + 22.9051i −0.0846809 + 0.955209i
\(576\) −1.00000 −0.0416667
\(577\) −13.9305 + 2.00291i −0.579935 + 0.0833821i −0.426039 0.904705i \(-0.640091\pi\)
−0.153897 + 0.988087i \(0.549182\pi\)
\(578\) −6.93441 + 15.1842i −0.288433 + 0.631581i
\(579\) 3.14650 + 10.7160i 0.130764 + 0.445342i
\(580\) 2.62266 3.02671i 0.108900 0.125677i
\(581\) 35.7105 + 14.5639i 1.48152 + 0.604214i
\(582\) −9.29075 14.4567i −0.385114 0.599249i
\(583\) −2.05118 4.49146i −0.0849512 0.186017i
\(584\) 6.75130 5.85004i 0.279371 0.242076i
\(585\) 1.03944 1.61740i 0.0429755 0.0668712i
\(586\) 1.34292 9.34023i 0.0554756 0.385841i
\(587\) −7.69186 1.10592i −0.317477 0.0456463i −0.0182658 0.999833i \(-0.505814\pi\)
−0.299211 + 0.954187i \(0.596724\pi\)
\(588\) 4.89543 5.00348i 0.201884 0.206340i
\(589\) 3.81937 3.30950i 0.157374 0.136366i
\(590\) 5.78512 2.64198i 0.238170 0.108768i
\(591\) −13.2855 20.6726i −0.546491 0.850357i
\(592\) 1.08683 3.70140i 0.0446684 0.152127i
\(593\) −8.25187 7.15029i −0.338864 0.293627i 0.468760 0.883326i \(-0.344701\pi\)
−0.807623 + 0.589699i \(0.799247\pi\)
\(594\) −1.21781 + 0.357583i −0.0499675 + 0.0146718i
\(595\) −0.335894 + 0.573226i −0.0137703 + 0.0235000i
\(596\) 19.7415 2.83840i 0.808644 0.116265i
\(597\) 12.1613i 0.497728i
\(598\) 16.0839 + 12.4730i 0.657721 + 0.510060i
\(599\) −2.23046 −0.0911343 −0.0455671 0.998961i \(-0.514509\pi\)
−0.0455671 + 0.998961i \(0.514509\pi\)
\(600\) 4.74597 0.682368i 0.193754 0.0278576i
\(601\) 27.5089 + 12.5629i 1.12211 + 0.512451i 0.888039 0.459768i \(-0.152067\pi\)
0.234073 + 0.972219i \(0.424795\pi\)
\(602\) −2.76624 14.8674i −0.112743 0.605950i
\(603\) 6.18096 + 5.35584i 0.251708 + 0.218106i
\(604\) −15.0722 4.42560i −0.613279 0.180075i
\(605\) 3.57818 2.29956i 0.145474 0.0934902i
\(606\) 2.60917 + 5.71328i 0.105990 + 0.232086i
\(607\) 8.94337 7.74948i 0.363000 0.314542i −0.454195 0.890902i \(-0.650073\pi\)
0.817195 + 0.576361i \(0.195528\pi\)
\(608\) 0.894338 + 0.574756i 0.0362702 + 0.0233094i
\(609\) −22.6946 5.66071i −0.919632 0.229384i
\(610\) −0.915208 + 6.36541i −0.0370557 + 0.257728i
\(611\) 31.1554 + 20.0223i 1.26041 + 0.810018i
\(612\) −0.363002 0.418927i −0.0146735 0.0169341i
\(613\) 34.7353 15.8631i 1.40295 0.640704i 0.437003 0.899460i \(-0.356040\pi\)
0.965943 + 0.258756i \(0.0833126\pi\)
\(614\) 0.149964 + 0.233349i 0.00605207 + 0.00941720i
\(615\) −0.383218 0.112523i −0.0154529 0.00453737i
\(616\) 2.30162 + 2.44522i 0.0927350 + 0.0985207i
\(617\) −5.82770 19.8473i −0.234615 0.799024i −0.989670 0.143363i \(-0.954208\pi\)
0.755056 0.655661i \(-0.227610\pi\)
\(618\) 0.921387 + 0.420783i 0.0370636 + 0.0169264i
\(619\) −5.84403 40.6461i −0.234891 1.63371i −0.676461 0.736478i \(-0.736487\pi\)
0.441570 0.897227i \(-0.354422\pi\)
\(620\) 2.15353i 0.0864880i
\(621\) −0.260665 4.78874i −0.0104601 0.192166i
\(622\) 15.2362i 0.610918i
\(623\) −0.701007 17.0227i −0.0280852 0.682000i
\(624\) 1.76303 3.86050i 0.0705777 0.154544i
\(625\) −21.0741 + 6.18791i −0.842963 + 0.247516i
\(626\) 12.9617 14.9586i 0.518053 0.597865i
\(627\) 1.29466 + 0.380147i 0.0517038 + 0.0151816i
\(628\) −7.42635 + 4.77262i −0.296344 + 0.190448i
\(629\) 1.94514 0.888316i 0.0775578 0.0354195i
\(630\) 0.688932 + 0.980782i 0.0274477 + 0.0390753i
\(631\) −19.3273 + 30.0738i −0.769407 + 1.19722i 0.206374 + 0.978473i \(0.433834\pi\)
−0.975781 + 0.218748i \(0.929803\pi\)
\(632\) −9.57732 1.37701i −0.380965 0.0547745i
\(633\) 12.4011 + 1.78300i 0.492898 + 0.0708680i
\(634\) −2.21656 1.42450i −0.0880309 0.0565740i
\(635\) −4.41436 5.09445i −0.175179 0.202167i
\(636\) −1.61609 3.53873i −0.0640820 0.140320i
\(637\) 10.6851 + 27.7201i 0.423360 + 1.09831i
\(638\) 3.16123 10.7662i 0.125154 0.426237i
\(639\) 3.42396 3.95146i 0.135450 0.156317i
\(640\) −0.434665 + 0.127629i −0.0171816 + 0.00504499i
\(641\) −26.2645 11.9946i −1.03739 0.473759i −0.177434 0.984133i \(-0.556780\pi\)
−0.859953 + 0.510374i \(0.829507\pi\)
\(642\) 2.11476 + 14.7085i 0.0834628 + 0.580497i
\(643\) 26.0200 1.02613 0.513065 0.858350i \(-0.328510\pi\)
0.513065 + 0.858350i \(0.328510\pi\)
\(644\) −10.9865 + 6.34799i −0.432928 + 0.250146i
\(645\) 2.58934 0.101955
\(646\) 0.0838660 + 0.583301i 0.00329966 + 0.0229497i
\(647\) 36.1860 + 16.5256i 1.42262 + 0.649688i 0.970241 0.242139i \(-0.0778492\pi\)
0.452376 + 0.891827i \(0.350576\pi\)
\(648\) −0.959493 + 0.281733i −0.0376924 + 0.0110675i
\(649\) 11.6687 13.4664i 0.458036 0.528602i
\(650\) −5.73301 + 19.5249i −0.224867 + 0.765828i
\(651\) 11.2161 5.69112i 0.439592 0.223052i
\(652\) 7.14763 + 15.6511i 0.279923 + 0.612946i
\(653\) 9.07561 + 10.4738i 0.355156 + 0.409872i 0.905011 0.425388i \(-0.139862\pi\)
−0.549855 + 0.835260i \(0.685317\pi\)
\(654\) 11.1466 + 7.16349i 0.435867 + 0.280115i
\(655\) −9.56233 1.37485i −0.373631 0.0537200i
\(656\) −0.872667 0.125471i −0.0340719 0.00489880i
\(657\) 4.82968 7.51513i 0.188424 0.293193i
\(658\) −18.8924 + 13.2707i −0.736504 + 0.517344i
\(659\) −0.993414 + 0.453677i −0.0386979 + 0.0176727i −0.434670 0.900590i \(-0.643135\pi\)
0.395972 + 0.918263i \(0.370408\pi\)
\(660\) −0.483703 + 0.310857i −0.0188281 + 0.0121001i
\(661\) 32.2923 + 9.48189i 1.25603 + 0.368803i 0.841014 0.541013i \(-0.181959\pi\)
0.415012 + 0.909816i \(0.363777\pi\)
\(662\) 0.673466 0.777222i 0.0261750 0.0302076i
\(663\) 2.25725 0.662789i 0.0876644 0.0257406i
\(664\) −6.05535 + 13.2594i −0.234993 + 0.514563i
\(665\) −0.0524279 1.27312i −0.00203307 0.0493694i
\(666\) 3.85767i 0.149482i
\(667\) 36.8605 + 20.9495i 1.42724 + 0.811169i
\(668\) 5.56291i 0.215235i
\(669\) −0.470037 3.26918i −0.0181727 0.126394i
\(670\) 3.37021 + 1.53912i 0.130203 + 0.0594615i
\(671\) 5.07613 + 17.2877i 0.195962 + 0.667385i
\(672\) 1.81340 + 1.92654i 0.0699536 + 0.0743180i
\(673\) 4.79489 + 1.40791i 0.184830 + 0.0542709i 0.372838 0.927897i \(-0.378385\pi\)
−0.188008 + 0.982168i \(0.560203\pi\)
\(674\) −0.384373 0.598096i −0.0148055 0.0230378i
\(675\) 4.36148 1.99182i 0.167874 0.0766653i
\(676\) 3.28197 + 3.78760i 0.126230 + 0.145677i
\(677\) −24.5257 15.7617i −0.942597 0.605771i −0.0234673 0.999725i \(-0.507471\pi\)
−0.919130 + 0.393954i \(0.871107\pi\)
\(678\) 2.18228 15.1781i 0.0838101 0.582912i
\(679\) −11.0036 + 44.1148i −0.422278 + 1.69297i
\(680\) −0.211252 0.135763i −0.00810114 0.00520628i
\(681\) −11.2041 + 9.70837i −0.429340 + 0.372026i
\(682\) 2.50646 + 5.48838i 0.0959772 + 0.210161i
\(683\) −37.4094 + 24.0416i −1.43143 + 0.919925i −0.431590 + 0.902070i \(0.642047\pi\)
−0.999841 + 0.0178550i \(0.994316\pi\)
\(684\) 1.02004 + 0.299510i 0.0390022 + 0.0114521i
\(685\) −0.694702 0.601963i −0.0265432 0.0229998i
\(686\) −18.5168 0.357925i −0.706975 0.0136656i
\(687\) 17.7575 + 8.10956i 0.677490 + 0.309399i
\(688\) 5.65761 0.813441i 0.215694 0.0310122i
\(689\) 16.5105 0.628999
\(690\) −0.724485 2.04823i −0.0275807 0.0779748i
\(691\) 17.8319i 0.678356i −0.940722 0.339178i \(-0.889851\pi\)
0.940722 0.339178i \(-0.110149\pi\)
\(692\) 0.710275 0.102122i 0.0270006 0.00388210i
\(693\) 2.89729 + 1.69773i 0.110059 + 0.0644914i
\(694\) −16.5336 + 4.85470i −0.627607 + 0.184282i
\(695\) −4.12428 3.57371i −0.156443 0.135559i
\(696\) 2.49067 8.48246i 0.0944088 0.321527i
\(697\) −0.264217 0.411130i −0.0100079 0.0155727i
\(698\) 19.7661 9.02687i 0.748157 0.341672i
\(699\) −2.29236 + 1.98634i −0.0867051 + 0.0751304i
\(700\) −9.92098 7.90591i −0.374978 0.298815i
\(701\) −20.8441 2.99693i −0.787270 0.113192i −0.263058 0.964780i \(-0.584731\pi\)
−0.524212 + 0.851588i \(0.675640\pi\)
\(702\) 0.603987 4.20082i 0.0227960 0.158550i
\(703\) −2.21722 + 3.45006i −0.0836240 + 0.130121i
\(704\) −0.959218 + 0.831167i −0.0361519 + 0.0313258i
\(705\) −1.64219 3.59590i −0.0618485 0.135429i
\(706\) −1.65092 2.56888i −0.0621332 0.0966812i
\(707\) 6.27541 15.3872i 0.236011 0.578694i
\(708\) 9.19354 10.6099i 0.345514 0.398745i
\(709\) −4.91958 16.7546i −0.184759 0.629230i −0.998825 0.0484587i \(-0.984569\pi\)
0.814066 0.580772i \(-0.197249\pi\)
\(710\) 0.983955 2.15456i 0.0369272 0.0808592i
\(711\) −9.57732 + 1.37701i −0.359177 + 0.0516419i
\(712\) 6.43943 0.241328
\(713\) −22.3566 + 4.46627i −0.837260 + 0.167263i
\(714\) −0.148811 + 1.45902i −0.00556912 + 0.0546026i
\(715\) −0.347280 2.41539i −0.0129875 0.0903303i
\(716\) 9.32155 20.4113i 0.348363 0.762808i
\(717\) −2.04895 6.97808i −0.0765194 0.260601i
\(718\) −17.3321 15.0184i −0.646829 0.560481i
\(719\) 0.120786 0.411360i 0.00450456 0.0153411i −0.957210 0.289394i \(-0.906546\pi\)
0.961715 + 0.274053i \(0.0883644\pi\)
\(720\) −0.381101 + 0.244919i −0.0142028 + 0.00912758i
\(721\) −0.860189 2.53814i −0.0320351 0.0945253i
\(722\) 11.7022 + 13.5051i 0.435512 + 0.502608i
\(723\) −3.25117 + 5.05891i −0.120912 + 0.188143i
\(724\) 1.54434 10.7411i 0.0573951 0.399192i
\(725\) −6.03252 + 41.9571i −0.224042 + 1.55825i
\(726\) 5.07611 7.89858i 0.188392 0.293144i
\(727\) 24.8795 + 28.7125i 0.922729 + 1.06489i 0.997706 + 0.0677010i \(0.0215664\pi\)
−0.0749764 + 0.997185i \(0.523888\pi\)
\(728\) −10.6345 + 3.60409i −0.394141 + 0.133576i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 1.14014 3.88297i 0.0421986 0.143715i
\(731\) 2.39450 + 2.07484i 0.0885637 + 0.0767409i
\(732\) 3.99939 + 13.6207i 0.147822 + 0.503434i
\(733\) −16.3608 + 35.8251i −0.604299 + 1.32323i 0.322107 + 0.946703i \(0.395609\pi\)
−0.926406 + 0.376526i \(0.877118\pi\)
\(734\) −2.44410 16.9991i −0.0902133 0.627447i
\(735\) 0.640206 3.10581i 0.0236144 0.114560i
\(736\) −2.22642 4.24771i −0.0820671 0.156573i
\(737\) 10.3805 0.382370
\(738\) −0.872667 + 0.125471i −0.0321233 + 0.00461863i
\(739\) 1.83604 4.02036i 0.0675398 0.147892i −0.872852 0.487986i \(-0.837732\pi\)
0.940391 + 0.340094i \(0.110459\pi\)
\(740\) −0.492351 1.67679i −0.0180992 0.0616401i
\(741\) −2.95462 + 3.40981i −0.108541 + 0.125263i
\(742\) −3.88691 + 9.53061i −0.142693 + 0.349880i
\(743\) −4.13936 6.44097i −0.151858 0.236296i 0.756987 0.653430i \(-0.226671\pi\)
−0.908845 + 0.417134i \(0.863034\pi\)
\(744\) 1.97479 + 4.32419i 0.0723993 + 0.158532i
\(745\) 6.82833 5.91678i 0.250171 0.216774i
\(746\) −7.29170 + 11.3461i −0.266968 + 0.415410i
\(747\) −2.07447 + 14.4283i −0.0759009 + 0.527902i
\(748\) −0.696397 0.100127i −0.0254628 0.00366100i
\(749\) 24.5016 30.7466i 0.895268 1.12345i
\(750\) 3.35340 2.90574i 0.122449 0.106103i
\(751\) 12.7150 5.80673i 0.463976 0.211891i −0.169690 0.985497i \(-0.554277\pi\)
0.633666 + 0.773607i \(0.281549\pi\)
\(752\) −4.71778 7.34101i −0.172040 0.267699i
\(753\) 3.54093 12.0593i 0.129038 0.439465i
\(754\) 28.3554 + 24.5701i 1.03264 + 0.894789i
\(755\) −6.82794 + 2.00486i −0.248494 + 0.0729644i
\(756\) 2.28272 + 1.33761i 0.0830216 + 0.0486484i
\(757\) 11.1114 1.59757i 0.403849 0.0580647i 0.0626025 0.998039i \(-0.480060\pi\)
0.341247 + 0.939974i \(0.389151\pi\)
\(758\) 8.41882i 0.305785i
\(759\) −4.23028 4.37679i −0.153549 0.158867i
\(760\) 0.481602 0.0174695
\(761\) −21.9657 + 3.15819i −0.796256 + 0.114484i −0.528423 0.848981i \(-0.677217\pi\)
−0.267833 + 0.963465i \(0.586307\pi\)
\(762\) −13.5354 6.18142i −0.490337 0.223929i
\(763\) −6.41253 34.4647i −0.232149 1.24771i
\(764\) −8.02438 6.95317i −0.290312 0.251557i
\(765\) −0.240944 0.0707474i −0.00871133 0.00255788i
\(766\) −9.89524 + 6.35928i −0.357530 + 0.229770i
\(767\) 24.7510 + 54.1972i 0.893708 + 1.95695i
\(768\) −0.755750 + 0.654861i −0.0272708 + 0.0236303i
\(769\) 7.94531 + 5.10614i 0.286515 + 0.184132i 0.676002 0.736900i \(-0.263711\pi\)
−0.389487 + 0.921032i \(0.627348\pi\)
\(770\) 1.47603 + 0.368166i 0.0531924 + 0.0132678i
\(771\) −2.25991 + 15.7180i −0.0813888 + 0.566071i
\(772\) 9.39545 + 6.03809i 0.338150 + 0.217316i
\(773\) 0.472249 + 0.545005i 0.0169856 + 0.0196025i 0.764179 0.645004i \(-0.223144\pi\)
−0.747193 + 0.664607i \(0.768599\pi\)
\(774\)