Properties

Label 384.2.v.a.229.17
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.17
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.192507 - 1.40105i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.92588 - 0.539424i) q^{4} +(-1.13201 - 1.37936i) q^{5} +(-0.490674 - 1.32636i) q^{6} +(-3.27816 + 2.19039i) q^{7} +(-1.12651 + 2.59441i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(0.192507 - 1.40105i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.92588 - 0.539424i) q^{4} +(-1.13201 - 1.37936i) q^{5} +(-0.490674 - 1.32636i) q^{6} +(-3.27816 + 2.19039i) q^{7} +(-1.12651 + 2.59441i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-2.15047 + 1.32046i) q^{10} +(-3.58120 + 1.08634i) q^{11} +(-1.95276 + 0.432125i) q^{12} +(-5.07386 - 4.16401i) q^{13} +(2.43778 + 5.01453i) q^{14} +(-1.64857 - 0.682859i) q^{15} +(3.41804 + 2.07774i) q^{16} +(3.69412 - 1.53015i) q^{17} +(-1.05798 - 0.938446i) q^{18} +(-0.395943 - 4.02007i) q^{19} +(1.43606 + 3.26711i) q^{20} +(-1.85853 + 3.47707i) q^{21} +(0.832616 + 5.22656i) q^{22} +(4.46479 - 0.888103i) q^{23} +(0.229508 + 2.81910i) q^{24} +(0.354271 - 1.78104i) q^{25} +(-6.81074 + 6.30713i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(7.49489 - 2.45012i) q^{28} +(-0.526952 + 1.73713i) q^{29} +(-1.27408 + 2.17827i) q^{30} +(-0.107098 - 0.107098i) q^{31} +(3.56901 - 4.38887i) q^{32} +(-2.64623 + 2.64623i) q^{33} +(-1.43268 - 5.47021i) q^{34} +(6.73223 + 2.04220i) q^{35} +(-1.51848 + 1.30162i) q^{36} +(-5.97528 - 0.588514i) q^{37} +(-5.70855 - 0.219158i) q^{38} +(-6.43765 - 1.28053i) q^{39} +(4.85384 - 1.38304i) q^{40} +(-0.531807 - 2.67357i) q^{41} +(4.51376 + 3.27325i) q^{42} +(6.31201 + 3.37384i) q^{43} +(7.48296 - 0.160386i) q^{44} +(-1.77580 + 0.174901i) q^{45} +(-0.384771 - 6.42637i) q^{46} +(-2.41492 - 5.83013i) q^{47} +(3.99388 + 0.221145i) q^{48} +(3.26969 - 7.89374i) q^{49} +(-2.42713 - 0.839214i) q^{50} +(2.53661 - 3.09087i) q^{51} +(7.52549 + 10.7564i) q^{52} +(2.32073 + 7.65041i) q^{53} +(-1.37543 - 0.328907i) q^{54} +(5.55240 + 3.71000i) q^{55} +(-1.98992 - 10.9724i) q^{56} +(-2.24424 - 3.35874i) q^{57} +(2.33236 + 1.07269i) q^{58} +(-8.94984 + 7.34494i) q^{59} +(2.80659 + 2.20438i) q^{60} +(-7.19944 - 13.4692i) q^{61} +(-0.170667 + 0.129432i) q^{62} +3.94260i q^{63} +(-5.46197 - 5.84525i) q^{64} +11.7124i q^{65} +(3.19809 + 4.21693i) q^{66} +(-1.25845 - 2.35439i) q^{67} +(-7.93984 + 0.954199i) q^{68} +(3.51895 - 2.88793i) q^{69} +(4.15723 - 9.03906i) q^{70} +(5.92462 + 8.86682i) q^{71} +(1.53132 + 2.37804i) q^{72} +(3.82637 + 2.55670i) q^{73} +(-1.97482 + 8.25838i) q^{74} +(-0.527137 - 1.73774i) q^{75} +(-1.40599 + 7.95577i) q^{76} +(9.36020 - 11.4054i) q^{77} +(-3.03338 + 8.77296i) q^{78} +(-0.938124 + 2.26483i) q^{79} +(-1.00332 - 7.06671i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-3.84819 + 0.230406i) q^{82} +(-2.92711 + 0.288296i) q^{83} +(5.45492 - 5.69388i) q^{84} +(-6.29240 - 3.36336i) q^{85} +(5.94203 - 8.19396i) q^{86} +(0.354146 + 1.78041i) q^{87} +(1.21582 - 10.5149i) q^{88} +(8.98890 + 1.78800i) q^{89} +(-0.0968093 + 2.52166i) q^{90} +(25.7537 + 2.53652i) q^{91} +(-9.07773 - 0.698037i) q^{92} +(-0.144938 - 0.0439663i) q^{93} +(-8.63319 + 2.26108i) q^{94} +(-5.09690 + 5.09690i) q^{95} +(1.07869 - 5.55306i) q^{96} +(-11.0663 - 11.0663i) q^{97} +(-10.4301 - 6.10061i) q^{98} +(-1.08634 + 3.58120i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.192507 1.40105i 0.136123 0.990692i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) −1.92588 0.539424i −0.962941 0.269712i
\(5\) −1.13201 1.37936i −0.506250 0.616867i 0.455687 0.890140i \(-0.349394\pi\)
−0.961936 + 0.273273i \(0.911894\pi\)
\(6\) −0.490674 1.32636i −0.200317 0.541485i
\(7\) −3.27816 + 2.19039i −1.23903 + 0.827891i −0.990063 0.140622i \(-0.955090\pi\)
−0.248963 + 0.968513i \(0.580090\pi\)
\(8\) −1.12651 + 2.59441i −0.398280 + 0.917264i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −2.15047 + 1.32046i −0.680037 + 0.417568i
\(11\) −3.58120 + 1.08634i −1.07977 + 0.327545i −0.779560 0.626328i \(-0.784557\pi\)
−0.300211 + 0.953873i \(0.597057\pi\)
\(12\) −1.95276 + 0.432125i −0.563713 + 0.124744i
\(13\) −5.07386 4.16401i −1.40724 1.15489i −0.966321 0.257340i \(-0.917154\pi\)
−0.440915 0.897549i \(-0.645346\pi\)
\(14\) 2.43778 + 5.01453i 0.651525 + 1.34019i
\(15\) −1.64857 0.682859i −0.425658 0.176313i
\(16\) 3.41804 + 2.07774i 0.854511 + 0.519434i
\(17\) 3.69412 1.53015i 0.895955 0.371117i 0.113292 0.993562i \(-0.463861\pi\)
0.782664 + 0.622445i \(0.213861\pi\)
\(18\) −1.05798 0.938446i −0.249368 0.221194i
\(19\) −0.395943 4.02007i −0.0908355 0.922268i −0.927318 0.374275i \(-0.877892\pi\)
0.836482 0.547994i \(-0.184608\pi\)
\(20\) 1.43606 + 3.26711i 0.321112 + 0.730548i
\(21\) −1.85853 + 3.47707i −0.405565 + 0.758758i
\(22\) 0.832616 + 5.22656i 0.177514 + 1.11431i
\(23\) 4.46479 0.888103i 0.930974 0.185182i 0.293769 0.955877i \(-0.405090\pi\)
0.637205 + 0.770694i \(0.280090\pi\)
\(24\) 0.229508 + 2.81910i 0.0468482 + 0.575446i
\(25\) 0.354271 1.78104i 0.0708542 0.356208i
\(26\) −6.81074 + 6.30713i −1.33570 + 1.23693i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) 7.49489 2.45012i 1.41640 0.463030i
\(29\) −0.526952 + 1.73713i −0.0978525 + 0.322576i −0.992176 0.124844i \(-0.960157\pi\)
0.894324 + 0.447420i \(0.147657\pi\)
\(30\) −1.27408 + 2.17827i −0.232614 + 0.397696i
\(31\) −0.107098 0.107098i −0.0192353 0.0192353i 0.697424 0.716659i \(-0.254330\pi\)
−0.716659 + 0.697424i \(0.754330\pi\)
\(32\) 3.56901 4.38887i 0.630918 0.775850i
\(33\) −2.64623 + 2.64623i −0.460650 + 0.460650i
\(34\) −1.43268 5.47021i −0.245702 0.938133i
\(35\) 6.73223 + 2.04220i 1.13796 + 0.345195i
\(36\) −1.51848 + 1.30162i −0.253080 + 0.216937i
\(37\) −5.97528 0.588514i −0.982330 0.0967511i −0.405918 0.913910i \(-0.633048\pi\)
−0.576413 + 0.817159i \(0.695548\pi\)
\(38\) −5.70855 0.219158i −0.926048 0.0355520i
\(39\) −6.43765 1.28053i −1.03085 0.205049i
\(40\) 4.85384 1.38304i 0.767459 0.218679i
\(41\) −0.531807 2.67357i −0.0830543 0.417542i −0.999835 0.0181517i \(-0.994222\pi\)
0.916781 0.399390i \(-0.130778\pi\)
\(42\) 4.51376 + 3.27325i 0.696489 + 0.505074i
\(43\) 6.31201 + 3.37384i 0.962573 + 0.514506i 0.876300 0.481766i \(-0.160004\pi\)
0.0862727 + 0.996272i \(0.472504\pi\)
\(44\) 7.48296 0.160386i 1.12810 0.0241791i
\(45\) −1.77580 + 0.174901i −0.264721 + 0.0260728i
\(46\) −0.384771 6.42637i −0.0567315 0.947516i
\(47\) −2.41492 5.83013i −0.352252 0.850411i −0.996341 0.0854612i \(-0.972764\pi\)
0.644090 0.764950i \(-0.277236\pi\)
\(48\) 3.99388 + 0.221145i 0.576467 + 0.0319195i
\(49\) 3.26969 7.89374i 0.467099 1.12768i
\(50\) −2.42713 0.839214i −0.343247 0.118683i
\(51\) 2.53661 3.09087i 0.355197 0.432809i
\(52\) 7.52549 + 10.7564i 1.04360 + 1.49164i
\(53\) 2.32073 + 7.65041i 0.318776 + 1.05086i 0.959173 + 0.282820i \(0.0912700\pi\)
−0.640397 + 0.768044i \(0.721230\pi\)
\(54\) −1.37543 0.328907i −0.187173 0.0447586i
\(55\) 5.55240 + 3.71000i 0.748686 + 0.500256i
\(56\) −1.98992 10.9724i −0.265915 1.46625i
\(57\) −2.24424 3.35874i −0.297257 0.444876i
\(58\) 2.33236 + 1.07269i 0.306254 + 0.140852i
\(59\) −8.94984 + 7.34494i −1.16517 + 0.956230i −0.999551 0.0299597i \(-0.990462\pi\)
−0.165619 + 0.986190i \(0.552962\pi\)
\(60\) 2.80659 + 2.20438i 0.362330 + 0.284584i
\(61\) −7.19944 13.4692i −0.921794 1.72456i −0.645998 0.763339i \(-0.723559\pi\)
−0.275796 0.961216i \(-0.588941\pi\)
\(62\) −0.170667 + 0.129432i −0.0216747 + 0.0164379i
\(63\) 3.94260i 0.496721i
\(64\) −5.46197 5.84525i −0.682746 0.730656i
\(65\) 11.7124i 1.45274i
\(66\) 3.19809 + 4.21693i 0.393657 + 0.519068i
\(67\) −1.25845 2.35439i −0.153744 0.287635i 0.793244 0.608904i \(-0.208391\pi\)
−0.946988 + 0.321269i \(0.895891\pi\)
\(68\) −7.93984 + 0.954199i −0.962847 + 0.115714i
\(69\) 3.51895 2.88793i 0.423632 0.347665i
\(70\) 4.15723 9.03906i 0.496884 1.08037i
\(71\) 5.92462 + 8.86682i 0.703123 + 1.05230i 0.995385 + 0.0959594i \(0.0305919\pi\)
−0.292263 + 0.956338i \(0.594408\pi\)
\(72\) 1.53132 + 2.37804i 0.180468 + 0.280254i
\(73\) 3.82637 + 2.55670i 0.447843 + 0.299239i 0.758966 0.651131i \(-0.225705\pi\)
−0.311123 + 0.950370i \(0.600705\pi\)
\(74\) −1.97482 + 8.25838i −0.229568 + 0.960017i
\(75\) −0.527137 1.73774i −0.0608686 0.200657i
\(76\) −1.40599 + 7.95577i −0.161278 + 0.912589i
\(77\) 9.36020 11.4054i 1.06669 1.29977i
\(78\) −3.03338 + 8.77296i −0.343462 + 0.993342i
\(79\) −0.938124 + 2.26483i −0.105547 + 0.254813i −0.967826 0.251620i \(-0.919037\pi\)
0.862279 + 0.506434i \(0.169037\pi\)
\(80\) −1.00332 7.06671i −0.112174 0.790083i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −3.84819 + 0.230406i −0.424961 + 0.0254441i
\(83\) −2.92711 + 0.288296i −0.321293 + 0.0316446i −0.257378 0.966311i \(-0.582859\pi\)
−0.0639146 + 0.997955i \(0.520359\pi\)
\(84\) 5.45492 5.69388i 0.595181 0.621253i
\(85\) −6.29240 3.36336i −0.682507 0.364808i
\(86\) 5.94203 8.19396i 0.640745 0.883577i
\(87\) 0.354146 + 1.78041i 0.0379684 + 0.190880i
\(88\) 1.21582 10.5149i 0.129606 1.12089i
\(89\) 8.98890 + 1.78800i 0.952822 + 0.189528i 0.646940 0.762541i \(-0.276049\pi\)
0.305882 + 0.952069i \(0.401049\pi\)
\(90\) −0.0968093 + 2.52166i −0.0102046 + 0.265806i
\(91\) 25.7537 + 2.53652i 2.69972 + 0.265900i
\(92\) −9.07773 0.698037i −0.946419 0.0727754i
\(93\) −0.144938 0.0439663i −0.0150293 0.00455909i
\(94\) −8.63319 + 2.26108i −0.890445 + 0.233212i
\(95\) −5.09690 + 5.09690i −0.522931 + 0.522931i
\(96\) 1.07869 5.55306i 0.110093 0.566756i
\(97\) −11.0663 11.0663i −1.12361 1.12361i −0.991194 0.132421i \(-0.957725\pi\)
−0.132421 0.991194i \(-0.542275\pi\)
\(98\) −10.4301 6.10061i −1.05360 0.616254i
\(99\) −1.08634 + 3.58120i −0.109182 + 0.359924i
\(100\) −1.64302 + 3.23897i −0.164302 + 0.323897i
\(101\) 0.497143 5.04757i 0.0494675 0.502252i −0.938245 0.345971i \(-0.887549\pi\)
0.987713 0.156281i \(-0.0499505\pi\)
\(102\) −3.84215 4.14894i −0.380429 0.410806i
\(103\) −0.529535 + 2.66215i −0.0521766 + 0.262310i −0.998065 0.0621833i \(-0.980194\pi\)
0.945888 + 0.324493i \(0.105194\pi\)
\(104\) 16.5189 8.47291i 1.61981 0.830837i
\(105\) 6.89999 1.37249i 0.673370 0.133942i
\(106\) 11.1654 1.77870i 1.08448 0.172762i
\(107\) 6.29412 11.7755i 0.608475 1.13838i −0.369416 0.929264i \(-0.620442\pi\)
0.977892 0.209113i \(-0.0670576\pi\)
\(108\) −0.725596 + 1.86374i −0.0698205 + 0.179338i
\(109\) −1.51504 15.3824i −0.145114 1.47337i −0.741651 0.670786i \(-0.765957\pi\)
0.596537 0.802586i \(-0.296543\pi\)
\(110\) 6.26677 7.06499i 0.597513 0.673620i
\(111\) −5.54715 + 2.29771i −0.526512 + 0.218089i
\(112\) −15.7559 + 0.675720i −1.48880 + 0.0638495i
\(113\) −5.02863 2.08293i −0.473054 0.195945i 0.133403 0.991062i \(-0.457410\pi\)
−0.606457 + 0.795117i \(0.707410\pi\)
\(114\) −5.13780 + 2.49771i −0.481199 + 0.233932i
\(115\) −6.27919 5.15320i −0.585538 0.480539i
\(116\) 1.95189 3.06125i 0.181229 0.284230i
\(117\) −6.28114 + 1.90536i −0.580691 + 0.176151i
\(118\) 8.56772 + 13.9531i 0.788723 + 1.28449i
\(119\) −8.75826 + 13.1077i −0.802868 + 1.20158i
\(120\) 3.62874 3.50782i 0.331257 0.320219i
\(121\) 2.49866 1.66955i 0.227151 0.151777i
\(122\) −20.2570 + 7.49386i −1.83398 + 0.678462i
\(123\) −1.72933 2.10719i −0.155928 0.189999i
\(124\) 0.148487 + 0.264029i 0.0133345 + 0.0237105i
\(125\) −10.7262 + 5.73328i −0.959381 + 0.512800i
\(126\) 5.52378 + 0.758979i 0.492098 + 0.0676153i
\(127\) 11.0905 0.984122 0.492061 0.870561i \(-0.336244\pi\)
0.492061 + 0.870561i \(0.336244\pi\)
\(128\) −9.24095 + 6.52724i −0.816792 + 0.576932i
\(129\) 7.15712 0.630149
\(130\) 16.4096 + 2.25471i 1.43922 + 0.197751i
\(131\) 7.00203 3.74266i 0.611770 0.326998i −0.136250 0.990675i \(-0.543505\pi\)
0.748020 + 0.663677i \(0.231005\pi\)
\(132\) 6.52378 3.66889i 0.567822 0.319336i
\(133\) 10.1035 + 12.3112i 0.876085 + 1.06751i
\(134\) −3.54088 + 1.30991i −0.305886 + 0.113159i
\(135\) −1.48367 + 0.991357i −0.127694 + 0.0853224i
\(136\) −0.191596 + 11.3078i −0.0164292 + 0.969636i
\(137\) 2.50473 3.74859i 0.213994 0.320264i −0.708907 0.705302i \(-0.750812\pi\)
0.922901 + 0.385038i \(0.125812\pi\)
\(138\) −3.36871 5.48617i −0.286763 0.467014i
\(139\) −19.7858 + 6.00195i −1.67821 + 0.509079i −0.978657 0.205503i \(-0.934117\pi\)
−0.699552 + 0.714582i \(0.746617\pi\)
\(140\) −11.8639 7.56457i −1.00268 0.639323i
\(141\) −4.87807 4.00333i −0.410808 0.337141i
\(142\) 13.5634 6.59376i 1.13821 0.553336i
\(143\) 22.6940 + 9.40018i 1.89777 + 0.786083i
\(144\) 3.62654 1.68767i 0.302211 0.140639i
\(145\) 2.99263 1.23959i 0.248524 0.102942i
\(146\) 4.31867 4.86876i 0.357416 0.402941i
\(147\) −0.837470 8.50298i −0.0690734 0.701314i
\(148\) 11.1902 + 4.35662i 0.919831 + 0.358112i
\(149\) 8.46385 15.8347i 0.693386 1.29723i −0.250870 0.968021i \(-0.580717\pi\)
0.944256 0.329212i \(-0.106783\pi\)
\(150\) −2.53614 + 0.404019i −0.207075 + 0.0329880i
\(151\) −14.6594 + 2.91593i −1.19296 + 0.237295i −0.751346 0.659909i \(-0.770595\pi\)
−0.441617 + 0.897204i \(0.645595\pi\)
\(152\) 10.8758 + 3.50140i 0.882141 + 0.284001i
\(153\) 0.780066 3.92166i 0.0630646 0.317047i
\(154\) −14.1777 15.3097i −1.14247 1.23369i
\(155\) −0.0264904 + 0.268962i −0.00212776 + 0.0216035i
\(156\) 11.7074 + 5.93877i 0.937342 + 0.475482i
\(157\) −3.20835 + 10.5765i −0.256054 + 0.844097i 0.730815 + 0.682576i \(0.239140\pi\)
−0.986869 + 0.161522i \(0.948360\pi\)
\(158\) 2.99255 + 1.75036i 0.238074 + 0.139251i
\(159\) 5.65308 + 5.65308i 0.448318 + 0.448318i
\(160\) −10.0940 + 0.0453035i −0.797998 + 0.00358155i
\(161\) −12.6910 + 12.6910i −1.00019 + 1.00019i
\(162\) −1.36807 + 0.358305i −0.107486 + 0.0281511i
\(163\) 16.7374 + 5.07723i 1.31097 + 0.397679i 0.866976 0.498350i \(-0.166060\pi\)
0.443996 + 0.896029i \(0.353560\pi\)
\(164\) −0.417993 + 5.43586i −0.0326398 + 0.424469i
\(165\) 6.64566 + 0.654540i 0.517364 + 0.0509559i
\(166\) −0.159574 + 4.15653i −0.0123853 + 0.322610i
\(167\) −13.9092 2.76671i −1.07632 0.214094i −0.375064 0.926999i \(-0.622379\pi\)
−0.701261 + 0.712905i \(0.747379\pi\)
\(168\) −6.92730 8.73873i −0.534453 0.674208i
\(169\) 5.86892 + 29.5050i 0.451455 + 2.26962i
\(170\) −5.92357 + 8.16850i −0.454317 + 0.626495i
\(171\) −3.56254 1.90422i −0.272434 0.145619i
\(172\) −10.3363 9.90247i −0.788132 0.755056i
\(173\) 20.7586 2.04454i 1.57825 0.155444i 0.729402 0.684085i \(-0.239798\pi\)
0.848846 + 0.528641i \(0.177298\pi\)
\(174\) 2.56262 0.153434i 0.194272 0.0116318i
\(175\) 2.73982 + 6.61452i 0.207111 + 0.500010i
\(176\) −14.4978 3.72761i −1.09281 0.280979i
\(177\) −4.43067 + 10.6966i −0.333030 + 0.804005i
\(178\) 4.23551 12.2497i 0.317465 0.918154i
\(179\) −3.57652 + 4.35801i −0.267322 + 0.325733i −0.889319 0.457287i \(-0.848821\pi\)
0.621998 + 0.783019i \(0.286321\pi\)
\(180\) 3.51433 + 0.621072i 0.261943 + 0.0462920i
\(181\) 2.50890 + 8.27073i 0.186485 + 0.614759i 0.999472 + 0.0324776i \(0.0103397\pi\)
−0.812987 + 0.582281i \(0.802160\pi\)
\(182\) 8.51157 35.5940i 0.630920 2.63840i
\(183\) −12.6987 8.48499i −0.938714 0.627228i
\(184\) −2.72551 + 12.5840i −0.200928 + 0.927703i
\(185\) 5.95230 + 8.90825i 0.437622 + 0.654947i
\(186\) −0.0895005 + 0.194601i −0.00656250 + 0.0142688i
\(187\) −11.5671 + 9.49287i −0.845870 + 0.694187i
\(188\) 1.50593 + 12.5308i 0.109832 + 0.913902i
\(189\) 1.85853 + 3.47707i 0.135188 + 0.252919i
\(190\) 6.15983 + 8.12221i 0.446881 + 0.589247i
\(191\) 10.8664i 0.786262i 0.919483 + 0.393131i \(0.128608\pi\)
−0.919483 + 0.393131i \(0.871392\pi\)
\(192\) −7.57246 2.58030i −0.546495 0.186217i
\(193\) 8.62124i 0.620571i 0.950643 + 0.310285i \(0.100425\pi\)
−0.950643 + 0.310285i \(0.899575\pi\)
\(194\) −17.6348 + 13.3741i −1.26611 + 0.960206i
\(195\) 5.52117 + 10.3294i 0.395379 + 0.739702i
\(196\) −10.5551 + 13.4387i −0.753937 + 0.959904i
\(197\) −11.8346 + 9.71239i −0.843179 + 0.691979i −0.953328 0.301936i \(-0.902367\pi\)
0.110149 + 0.993915i \(0.464867\pi\)
\(198\) 4.80831 + 2.21143i 0.341711 + 0.157159i
\(199\) −6.81399 10.1979i −0.483031 0.722906i 0.507279 0.861782i \(-0.330651\pi\)
−0.990310 + 0.138875i \(0.955651\pi\)
\(200\) 4.22167 + 2.92548i 0.298517 + 0.206863i
\(201\) −2.21971 1.48316i −0.156566 0.104614i
\(202\) −6.97620 1.66822i −0.490844 0.117375i
\(203\) −2.07756 6.84880i −0.145816 0.480692i
\(204\) −6.55251 + 4.58434i −0.458767 + 0.320968i
\(205\) −3.08580 + 3.76006i −0.215522 + 0.262614i
\(206\) 3.62787 + 1.25439i 0.252766 + 0.0873974i
\(207\) 1.74208 4.20574i 0.121083 0.292319i
\(208\) −8.69097 24.7749i −0.602610 1.71783i
\(209\) 5.78513 + 13.9665i 0.400166 + 0.966086i
\(210\) −0.594634 9.93144i −0.0410336 0.685334i
\(211\) 1.51118 0.148838i 0.104034 0.0102464i −0.0458663 0.998948i \(-0.514605\pi\)
0.149900 + 0.988701i \(0.452105\pi\)
\(212\) −0.342628 15.9856i −0.0235318 1.09790i
\(213\) 9.40483 + 5.02699i 0.644409 + 0.344444i
\(214\) −15.2863 11.0852i −1.04495 0.757771i
\(215\) −2.49152 12.5257i −0.169920 0.854248i
\(216\) 2.47150 + 1.37538i 0.168165 + 0.0935827i
\(217\) 0.585670 + 0.116497i 0.0397579 + 0.00790833i
\(218\) −21.8432 0.838586i −1.47941 0.0567962i
\(219\) 4.57978 + 0.451069i 0.309473 + 0.0304804i
\(220\) −8.69201 10.1401i −0.586015 0.683646i
\(221\) −25.1150 7.61856i −1.68942 0.512480i
\(222\) 2.15133 + 8.21416i 0.144388 + 0.551299i
\(223\) 2.64866 2.64866i 0.177367 0.177367i −0.612840 0.790207i \(-0.709973\pi\)
0.790207 + 0.612840i \(0.209973\pi\)
\(224\) −2.08641 + 22.2049i −0.139404 + 1.48363i
\(225\) −1.28406 1.28406i −0.0856039 0.0856039i
\(226\) −3.88633 + 6.64439i −0.258515 + 0.441978i
\(227\) 8.31547 27.4124i 0.551917 1.81943i −0.0209530 0.999780i \(-0.506670\pi\)
0.572870 0.819646i \(-0.305830\pi\)
\(228\) 2.51035 + 7.67914i 0.166252 + 0.508563i
\(229\) −0.275703 + 2.79926i −0.0182190 + 0.184980i −0.999987 0.00510269i \(-0.998376\pi\)
0.981768 + 0.190083i \(0.0608758\pi\)
\(230\) −8.42868 + 7.80544i −0.555771 + 0.514675i
\(231\) 2.87847 14.4711i 0.189390 0.952126i
\(232\) −3.91321 3.32401i −0.256915 0.218232i
\(233\) 3.85912 0.767627i 0.252819 0.0502889i −0.0670534 0.997749i \(-0.521360\pi\)
0.319873 + 0.947460i \(0.396360\pi\)
\(234\) 1.46034 + 9.16698i 0.0954656 + 0.599264i
\(235\) −5.30811 + 9.93078i −0.346263 + 0.647813i
\(236\) 21.1984 9.31773i 1.37990 0.606533i
\(237\) 0.240283 + 2.43963i 0.0156080 + 0.158471i
\(238\) 16.6785 + 14.7941i 1.08110 + 0.958957i
\(239\) 11.2520 4.66072i 0.727830 0.301477i 0.0121698 0.999926i \(-0.496126\pi\)
0.715660 + 0.698449i \(0.246126\pi\)
\(240\) −4.21607 5.75932i −0.272146 0.371763i
\(241\) −19.5697 8.10603i −1.26059 0.522155i −0.350502 0.936562i \(-0.613989\pi\)
−0.910092 + 0.414407i \(0.863989\pi\)
\(242\) −1.85812 3.82215i −0.119444 0.245697i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) 6.59966 + 29.8237i 0.422500 + 1.90926i
\(245\) −14.5896 + 4.42571i −0.932096 + 0.282748i
\(246\) −3.28519 + 2.01722i −0.209456 + 0.128613i
\(247\) −14.7307 + 22.0460i −0.937290 + 1.40275i
\(248\) 0.398503 0.157210i 0.0253049 0.00998283i
\(249\) −2.44558 + 1.63409i −0.154983 + 0.103556i
\(250\) 5.96774 + 16.1317i 0.377433 + 1.02026i
\(251\) 8.29909 + 10.1125i 0.523834 + 0.638293i 0.965970 0.258655i \(-0.0832791\pi\)
−0.442136 + 0.896948i \(0.645779\pi\)
\(252\) 2.12674 7.59299i 0.133972 0.478313i
\(253\) −15.0245 + 8.03077i −0.944583 + 0.504890i
\(254\) 2.13500 15.5383i 0.133962 0.974962i
\(255\) −7.13488 −0.446804
\(256\) 7.36603 + 14.2036i 0.460377 + 0.887723i
\(257\) 23.5319 1.46788 0.733939 0.679215i \(-0.237680\pi\)
0.733939 + 0.679215i \(0.237680\pi\)
\(258\) 1.37780 10.0275i 0.0857778 0.624283i
\(259\) 20.8770 11.1590i 1.29723 0.693385i
\(260\) 6.31793 22.5566i 0.391822 1.39890i
\(261\) 1.15161 + 1.40324i 0.0712828 + 0.0868584i
\(262\) −3.89572 10.5307i −0.240678 0.650588i
\(263\) 14.4694 9.66815i 0.892222 0.596163i −0.0227235 0.999742i \(-0.507234\pi\)
0.914945 + 0.403578i \(0.132234\pi\)
\(264\) −3.88443 9.84643i −0.239070 0.606006i
\(265\) 7.92556 11.8614i 0.486863 0.728642i
\(266\) 19.1935 11.7855i 1.17683 0.722617i
\(267\) 8.77036 2.66046i 0.536738 0.162818i
\(268\) 1.15361 + 5.21312i 0.0704679 + 0.318442i
\(269\) −3.03503 2.49079i −0.185049 0.151866i 0.537308 0.843386i \(-0.319441\pi\)
−0.722357 + 0.691520i \(0.756941\pi\)
\(270\) 1.10332 + 2.26954i 0.0671461 + 0.138120i
\(271\) −8.82116 3.65384i −0.535847 0.221955i 0.0983148 0.995155i \(-0.468655\pi\)
−0.634162 + 0.773200i \(0.718655\pi\)
\(272\) 15.8059 + 2.44527i 0.958374 + 0.148266i
\(273\) 23.9085 9.90321i 1.44701 0.599370i
\(274\) −4.76979 4.23088i −0.288154 0.255597i
\(275\) 0.666109 + 6.76311i 0.0401679 + 0.407831i
\(276\) −8.33490 + 3.66360i −0.501702 + 0.220523i
\(277\) 12.6498 23.6661i 0.760051 1.42196i −0.141794 0.989896i \(-0.545287\pi\)
0.901845 0.432060i \(-0.142213\pi\)
\(278\) 4.60013 + 28.8763i 0.275897 + 1.73189i
\(279\) −0.148549 + 0.0295482i −0.00889340 + 0.00176901i
\(280\) −12.8822 + 15.1656i −0.769860 + 0.906321i
\(281\) −0.412699 + 2.07478i −0.0246196 + 0.123771i −0.991141 0.132816i \(-0.957598\pi\)
0.966521 + 0.256587i \(0.0825980\pi\)
\(282\) −6.54793 + 6.06375i −0.389923 + 0.361091i
\(283\) −1.35498 + 13.7574i −0.0805453 + 0.817791i 0.867030 + 0.498257i \(0.166026\pi\)
−0.947575 + 0.319534i \(0.896474\pi\)
\(284\) −6.62714 20.2723i −0.393248 1.20294i
\(285\) −2.09240 + 6.89773i −0.123943 + 0.408586i
\(286\) 17.5389 29.9859i 1.03710 1.77310i
\(287\) 7.59952 + 7.59952i 0.448586 + 0.448586i
\(288\) −1.66638 5.40585i −0.0981922 0.318543i
\(289\) −0.715671 + 0.715671i −0.0420983 + 0.0420983i
\(290\) −1.16062 4.43145i −0.0681541 0.260224i
\(291\) −14.9763 4.54300i −0.877923 0.266315i
\(292\) −5.99000 6.98794i −0.350538 0.408938i
\(293\) 24.5945 + 2.42235i 1.43683 + 0.141515i 0.786241 0.617919i \(-0.212024\pi\)
0.650584 + 0.759434i \(0.274524\pi\)
\(294\) −12.0743 0.463547i −0.704189 0.0270346i
\(295\) 20.2626 + 4.03048i 1.17973 + 0.234664i
\(296\) 8.25804 14.8394i 0.479989 0.862522i
\(297\) 0.730094 + 3.67043i 0.0423644 + 0.212980i
\(298\) −20.5559 14.9066i −1.19077 0.863515i
\(299\) −26.3518 14.0853i −1.52396 0.814576i
\(300\) 0.0778257 + 3.63103i 0.00449327 + 0.209638i
\(301\) −28.0818 + 2.76582i −1.61861 + 0.159419i
\(302\) 1.26333 + 21.0998i 0.0726965 + 1.21416i
\(303\) −1.94097 4.68591i −0.111506 0.269199i
\(304\) 6.99930 14.5634i 0.401437 0.835271i
\(305\) −10.4290 + 25.1779i −0.597163 + 1.44168i
\(306\) −5.34427 1.84786i −0.305511 0.105635i
\(307\) 11.0666 13.4846i 0.631601 0.769609i −0.354625 0.935009i \(-0.615392\pi\)
0.986227 + 0.165400i \(0.0528915\pi\)
\(308\) −24.1790 + 16.9164i −1.37773 + 0.963901i
\(309\) 0.787922 + 2.59743i 0.0448233 + 0.147763i
\(310\) 0.371729 + 0.0888915i 0.0211128 + 0.00504870i
\(311\) −21.5386 14.3916i −1.22134 0.816074i −0.233623 0.972327i \(-0.575058\pi\)
−0.987717 + 0.156254i \(0.950058\pi\)
\(312\) 10.5743 15.2594i 0.598650 0.863893i
\(313\) −16.7798 25.1127i −0.948448 1.41945i −0.907387 0.420295i \(-0.861926\pi\)
−0.0410602 0.999157i \(-0.513074\pi\)
\(314\) 14.2006 + 6.53111i 0.801385 + 0.368572i
\(315\) 5.43826 4.46306i 0.306411 0.251465i
\(316\) 3.02842 3.85575i 0.170362 0.216903i
\(317\) 0.908284 + 1.69928i 0.0510143 + 0.0954411i 0.906136 0.422986i \(-0.139018\pi\)
−0.855122 + 0.518427i \(0.826518\pi\)
\(318\) 9.00850 6.83198i 0.505172 0.383119i
\(319\) 6.79344i 0.380360i
\(320\) −1.87969 + 14.1509i −0.105078 + 0.791058i
\(321\) 13.3521i 0.745239i
\(322\) 15.3376 + 20.2238i 0.854731 + 1.12703i
\(323\) −7.61399 14.2448i −0.423654 0.792601i
\(324\) 0.238640 + 1.98571i 0.0132578 + 0.110317i
\(325\) −9.21379 + 7.56156i −0.511089 + 0.419440i
\(326\) 10.3355 22.4725i 0.572431 1.24464i
\(327\) −8.58738 12.8519i −0.474883 0.710713i
\(328\) 7.53544 + 1.63207i 0.416075 + 0.0901160i
\(329\) 20.6867 + 13.8224i 1.14050 + 0.762056i
\(330\) 2.19638 9.18490i 0.120907 0.505612i
\(331\) −3.16857 10.4454i −0.174160 0.574130i −0.999948 0.0101495i \(-0.996769\pi\)
0.825788 0.563981i \(-0.190731\pi\)
\(332\) 5.79279 + 1.02373i 0.317921 + 0.0561847i
\(333\) −3.80902 + 4.64131i −0.208733 + 0.254342i
\(334\) −6.55391 + 18.9548i −0.358614 + 1.03716i
\(335\) −1.82297 + 4.40105i −0.0995996 + 0.240455i
\(336\) −13.5770 + 8.02323i −0.740684 + 0.437703i
\(337\) −6.10241 14.7325i −0.332420 0.802532i −0.998399 0.0565618i \(-0.981986\pi\)
0.665980 0.745970i \(-0.268014\pi\)
\(338\) 42.4678 2.54271i 2.30995 0.138305i
\(339\) −5.41674 + 0.533503i −0.294197 + 0.0289759i
\(340\) 10.3041 + 9.87171i 0.558821 + 0.535369i
\(341\) 0.499884 + 0.267193i 0.0270702 + 0.0144693i
\(342\) −3.35372 + 4.62473i −0.181348 + 0.250077i
\(343\) 1.18768 + 5.97089i 0.0641289 + 0.322398i
\(344\) −15.8637 + 12.5753i −0.855311 + 0.678016i
\(345\) −7.96696 1.58473i −0.428927 0.0853188i
\(346\) 1.13167 29.4774i 0.0608391 1.58472i
\(347\) −9.72658 0.957984i −0.522150 0.0514273i −0.166491 0.986043i \(-0.553244\pi\)
−0.355659 + 0.934616i \(0.615744\pi\)
\(348\) 0.278354 3.61990i 0.0149214 0.194047i
\(349\) 25.0573 + 7.60104i 1.34128 + 0.406874i 0.877713 0.479186i \(-0.159068\pi\)
0.463571 + 0.886060i \(0.346568\pi\)
\(350\) 9.79470 2.56529i 0.523549 0.137120i
\(351\) −4.64129 + 4.64129i −0.247734 + 0.247734i
\(352\) −8.01350 + 19.5946i −0.427121 + 1.04439i
\(353\) 18.5306 + 18.5306i 0.986284 + 0.986284i 0.999907 0.0136234i \(-0.00433658\pi\)
−0.0136234 + 0.999907i \(0.504337\pi\)
\(354\) 14.1335 + 8.26676i 0.751188 + 0.439373i
\(355\) 5.52378 18.2095i 0.293172 0.966458i
\(356\) −16.3471 8.29232i −0.866393 0.439492i
\(357\) −1.54519 + 15.6885i −0.0817799 + 0.830325i
\(358\) 5.41728 + 5.84983i 0.286312 + 0.309173i
\(359\) −2.24449 + 11.2838i −0.118460 + 0.595538i 0.875261 + 0.483651i \(0.160689\pi\)
−0.993721 + 0.111887i \(0.964311\pi\)
\(360\) 1.54669 4.80420i 0.0815176 0.253203i
\(361\) 2.63070 0.523278i 0.138458 0.0275410i
\(362\) 12.0707 1.92292i 0.634422 0.101066i
\(363\) 1.41660 2.65027i 0.0743523 0.139103i
\(364\) −48.2304 18.7772i −2.52796 0.984194i
\(365\) −0.804886 8.17214i −0.0421296 0.427749i
\(366\) −14.3325 + 16.1581i −0.749171 + 0.844596i
\(367\) −15.5635 + 6.44661i −0.812407 + 0.336510i −0.749914 0.661535i \(-0.769905\pi\)
−0.0624932 + 0.998045i \(0.519905\pi\)
\(368\) 17.1061 + 6.24109i 0.891717 + 0.325339i
\(369\) −2.51845 1.04318i −0.131105 0.0543056i
\(370\) 13.6268 6.62457i 0.708422 0.344395i
\(371\) −24.3651 19.9959i −1.26497 1.03814i
\(372\) 0.255416 + 0.162857i 0.0132427 + 0.00844373i
\(373\) −15.3327 + 4.65113i −0.793898 + 0.240826i −0.661081 0.750314i \(-0.729902\pi\)
−0.132817 + 0.991141i \(0.542402\pi\)
\(374\) 11.0732 + 18.0335i 0.572583 + 0.932491i
\(375\) −6.75702 + 10.1126i −0.348931 + 0.522212i
\(376\) 17.8462 + 0.302380i 0.920346 + 0.0155941i
\(377\) 9.90709 6.61971i 0.510241 0.340932i
\(378\) 5.22932 1.93453i 0.268967 0.0995017i
\(379\) −16.0830 19.5972i −0.826129 1.00664i −0.999762 0.0218310i \(-0.993050\pi\)
0.173632 0.984811i \(-0.444450\pi\)
\(380\) 12.5654 7.06664i 0.644593 0.362511i
\(381\) 9.78094 5.22802i 0.501093 0.267840i
\(382\) 15.2243 + 2.09185i 0.778943 + 0.107028i
\(383\) 28.8724 1.47531 0.737656 0.675176i \(-0.235933\pi\)
0.737656 + 0.675176i \(0.235933\pi\)
\(384\) −5.07287 + 10.1127i −0.258874 + 0.516060i
\(385\) −26.3280 −1.34180
\(386\) 12.0788 + 1.65965i 0.614794 + 0.0844740i
\(387\) 6.31201 3.37384i 0.320858 0.171502i
\(388\) 15.3430 + 27.2819i 0.778922 + 1.38503i
\(389\) −12.2744 14.9565i −0.622339 0.758323i 0.362464 0.931998i \(-0.381936\pi\)
−0.984803 + 0.173675i \(0.944436\pi\)
\(390\) 15.5348 5.74695i 0.786637 0.291008i
\(391\) 15.1345 10.1126i 0.765387 0.511415i
\(392\) 16.7963 + 17.3753i 0.848341 + 0.877585i
\(393\) 4.41096 6.60147i 0.222503 0.333000i
\(394\) 11.3293 + 18.4505i 0.570762 + 0.929525i
\(395\) 4.18597 1.26980i 0.210619 0.0638907i
\(396\) 4.02396 6.31096i 0.202211 0.317138i
\(397\) 19.1560 + 15.7209i 0.961410 + 0.789009i 0.977516 0.210861i \(-0.0676269\pi\)
−0.0161059 + 0.999870i \(0.505127\pi\)
\(398\) −15.5994 + 7.58358i −0.781929 + 0.380130i
\(399\) 14.7139 + 6.09471i 0.736618 + 0.305117i
\(400\) 4.91144 5.35159i 0.245572 0.267579i
\(401\) −15.5917 + 6.45830i −0.778613 + 0.322512i −0.736356 0.676595i \(-0.763455\pi\)
−0.0422574 + 0.999107i \(0.513455\pi\)
\(402\) −2.50529 + 2.82440i −0.124953 + 0.140868i
\(403\) 0.0974431 + 0.989357i 0.00485399 + 0.0492834i
\(404\) −3.68022 + 9.45286i −0.183098 + 0.470297i
\(405\) −0.841158 + 1.57370i −0.0417975 + 0.0781976i
\(406\) −9.99546 + 1.59232i −0.496066 + 0.0790257i
\(407\) 22.0380 4.38363i 1.09238 0.217288i
\(408\) 5.16149 + 10.0629i 0.255532 + 0.498188i
\(409\) 1.88636 9.48335i 0.0932743 0.468921i −0.905712 0.423895i \(-0.860663\pi\)
0.998986 0.0450268i \(-0.0143373\pi\)
\(410\) 4.67399 + 5.04720i 0.230832 + 0.249263i
\(411\) 0.441900 4.48669i 0.0217973 0.221312i
\(412\) 2.45585 4.84135i 0.120991 0.238516i
\(413\) 13.2506 43.6815i 0.652022 2.14943i
\(414\) −5.55709 3.25037i −0.273116 0.159747i
\(415\) 3.71118 + 3.71118i 0.182175 + 0.182175i
\(416\) −36.3840 + 7.40713i −1.78387 + 0.363164i
\(417\) −14.6202 + 14.6202i −0.715955 + 0.715955i
\(418\) 20.6815 5.41660i 1.01157 0.264935i
\(419\) −29.4538 8.93472i −1.43891 0.436490i −0.528056 0.849210i \(-0.677079\pi\)
−0.910858 + 0.412720i \(0.864579\pi\)
\(420\) −14.0289 1.07876i −0.684541 0.0526382i
\(421\) 33.5677 + 3.30613i 1.63599 + 0.161131i 0.873822 0.486246i \(-0.161634\pi\)
0.762170 + 0.647377i \(0.224134\pi\)
\(422\) 0.0823831 2.14589i 0.00401035 0.104460i
\(423\) −6.18923 1.23111i −0.300931 0.0598588i
\(424\) −22.4626 2.59731i −1.09088 0.126137i
\(425\) −1.41655 7.12146i −0.0687126 0.345442i
\(426\) 8.85356 12.2089i 0.428956 0.591524i
\(427\) 53.1037 + 28.3845i 2.56987 + 1.37362i
\(428\) −18.4737 + 19.2830i −0.892960 + 0.932077i
\(429\) 24.4456 2.40768i 1.18024 0.116244i
\(430\) −18.0288 + 1.07945i −0.869427 + 0.0520559i
\(431\) −12.0578 29.1101i −0.580803 1.40218i −0.892086 0.451865i \(-0.850759\pi\)
0.311283 0.950317i \(-0.399241\pi\)
\(432\) 2.40276 3.19793i 0.115603 0.153860i
\(433\) 7.29294 17.6067i 0.350476 0.846125i −0.646085 0.763266i \(-0.723595\pi\)
0.996561 0.0828594i \(-0.0264052\pi\)
\(434\) 0.275964 0.798126i 0.0132467 0.0383113i
\(435\) 2.05493 2.50394i 0.0985262 0.120055i
\(436\) −5.37988 + 30.4420i −0.257650 + 1.45791i
\(437\) −5.33804 17.5972i −0.255353 0.841786i
\(438\) 1.51361 6.32967i 0.0723231 0.302443i
\(439\) 16.1908 + 10.8184i 0.772747 + 0.516333i 0.878317 0.478079i \(-0.158667\pi\)
−0.105570 + 0.994412i \(0.533667\pi\)
\(440\) −15.8801 + 10.2259i −0.757053 + 0.487500i
\(441\) −4.74686 7.10418i −0.226041 0.338294i
\(442\) −15.5088 + 33.7208i −0.737679 + 1.60393i
\(443\) −12.6856 + 10.4108i −0.602712 + 0.494633i −0.885556 0.464533i \(-0.846222\pi\)
0.282844 + 0.959166i \(0.408722\pi\)
\(444\) 11.9226 1.43284i 0.565822 0.0679996i
\(445\) −7.70922 14.4229i −0.365452 0.683713i
\(446\) −3.20102 4.22079i −0.151573 0.199860i
\(447\) 17.9548i 0.849234i
\(448\) 30.7086 + 7.19778i 1.45084 + 0.340063i
\(449\) 6.79111i 0.320492i 0.987077 + 0.160246i \(0.0512288\pi\)
−0.987077 + 0.160246i \(0.948771\pi\)
\(450\) −2.04622 + 1.55184i −0.0964597 + 0.0731544i
\(451\) 4.80893 + 8.99687i 0.226443 + 0.423646i
\(452\) 8.56097 + 6.72404i 0.402674 + 0.316272i
\(453\) −11.5538 + 9.48200i −0.542847 + 0.445503i
\(454\) −36.8054 16.9275i −1.72736 0.794446i
\(455\) −25.6547 38.3949i −1.20271 1.79998i
\(456\) 11.2421 2.03884i 0.526460 0.0954775i
\(457\) 8.07863 + 5.39797i 0.377902 + 0.252506i 0.729986 0.683462i \(-0.239527\pi\)
−0.352083 + 0.935969i \(0.614527\pi\)
\(458\) 3.86883 + 0.925152i 0.180779 + 0.0432295i
\(459\) −1.16070 3.82631i −0.0541768 0.178597i
\(460\) 9.31323 + 13.3116i 0.434231 + 0.620657i
\(461\) 12.6400 15.4018i 0.588702 0.717335i −0.390414 0.920639i \(-0.627668\pi\)
0.979116 + 0.203304i \(0.0651681\pi\)
\(462\) −19.7206 6.81867i −0.917483 0.317233i
\(463\) −6.47138 + 15.6233i −0.300751 + 0.726076i 0.699187 + 0.714939i \(0.253545\pi\)
−0.999938 + 0.0111378i \(0.996455\pi\)
\(464\) −5.41043 + 4.84271i −0.251173 + 0.224817i
\(465\) 0.103425 + 0.249691i 0.00479623 + 0.0115791i
\(466\) −0.332575 5.55460i −0.0154062 0.257312i
\(467\) −19.7365 + 1.94388i −0.913298 + 0.0899520i −0.543738 0.839255i \(-0.682991\pi\)
−0.369560 + 0.929207i \(0.620491\pi\)
\(468\) 13.1245 0.281304i 0.606681 0.0130033i
\(469\) 9.28244 + 4.96157i 0.428623 + 0.229104i
\(470\) 12.8917 + 9.34868i 0.594649 + 0.431223i
\(471\) 2.15622 + 10.8401i 0.0993534 + 0.499483i
\(472\) −8.97377 31.4937i −0.413051 1.44962i
\(473\) −26.2697 5.22537i −1.20788 0.240263i
\(474\) 3.46430 + 0.132998i 0.159121 + 0.00610882i
\(475\) −7.30018 0.719005i −0.334955 0.0329902i
\(476\) 23.9380 20.5194i 1.09719 0.940504i
\(477\) 7.65041 + 2.32073i 0.350288 + 0.106259i
\(478\) −4.36382 16.6618i −0.199596 0.762093i
\(479\) 9.30545 9.30545i 0.425177 0.425177i −0.461805 0.886982i \(-0.652798\pi\)
0.886982 + 0.461805i \(0.152798\pi\)
\(480\) −8.88073 + 4.79822i −0.405348 + 0.219008i
\(481\) 27.8672 + 27.8672i 1.27063 + 1.27063i
\(482\) −15.1243 + 25.8576i −0.688891 + 1.17778i
\(483\) −5.20996 + 17.1749i −0.237062 + 0.781487i
\(484\) −5.71272 + 1.86752i −0.259669 + 0.0848873i
\(485\) −2.73723 + 27.7916i −0.124291 + 1.26195i
\(486\) −1.03763 + 0.960901i −0.0470677 + 0.0435874i
\(487\) 3.74420 18.8233i 0.169666 0.852967i −0.798372 0.602164i \(-0.794305\pi\)
0.968038 0.250803i \(-0.0806947\pi\)
\(488\) 43.0549 3.50518i 1.94900 0.158672i
\(489\) 17.1544 3.41223i 0.775750 0.154306i
\(490\) 3.39203 + 21.2927i 0.153237 + 0.961908i
\(491\) −0.877842 + 1.64233i −0.0396164 + 0.0741171i −0.900951 0.433922i \(-0.857129\pi\)
0.861334 + 0.508039i \(0.169629\pi\)
\(492\) 2.19381 + 4.99104i 0.0989045 + 0.225013i
\(493\) 0.711450 + 7.22347i 0.0320421 + 0.325329i
\(494\) 28.0518 + 24.8824i 1.26211 + 1.11951i
\(495\) 6.16950 2.55549i 0.277298 0.114861i
\(496\) −0.143544 0.588586i −0.00644532 0.0264283i
\(497\) −38.8436 16.0896i −1.74237 0.721715i
\(498\) 1.81864 + 3.74096i 0.0814954 + 0.167636i
\(499\) −13.3440 10.9511i −0.597360 0.490241i 0.286445 0.958097i \(-0.407527\pi\)
−0.883805 + 0.467856i \(0.845027\pi\)
\(500\) 23.7501 5.25564i 1.06214 0.235039i
\(501\) −13.5710 + 4.11672i −0.606309 + 0.183922i
\(502\) 15.7657 9.68072i 0.703658 0.432072i
\(503\) −7.39402 + 11.0659i −0.329683 + 0.493405i −0.958869 0.283850i \(-0.908388\pi\)
0.629186 + 0.777255i \(0.283388\pi\)
\(504\) −10.2287 4.44137i −0.455625 0.197834i
\(505\) −7.52517 + 5.02816i −0.334866 + 0.223750i
\(506\) 8.35919 + 22.5961i 0.371611 + 1.00452i
\(507\) 19.0845 + 23.2545i 0.847572 + 1.03277i
\(508\) −21.3590 5.98248i −0.947652 0.265430i
\(509\) −8.76128 + 4.68300i −0.388337 + 0.207570i −0.653998 0.756496i \(-0.726910\pi\)
0.265662 + 0.964066i \(0.414410\pi\)
\(510\) −1.37352 + 9.99632i −0.0608203 + 0.442645i
\(511\) −18.1436 −0.802627
\(512\) 21.3179 7.58589i 0.942128 0.335252i
\(513\) −4.03953 −0.178349
\(514\) 4.53006 32.9693i 0.199812 1.45422i
\(515\) 4.27149 2.28316i 0.188225 0.100608i
\(516\) −13.7838 3.86072i −0.606796 0.169959i
\(517\) 14.9818 + 18.2554i 0.658900 + 0.802871i
\(518\) −11.6153 31.3979i −0.510348 1.37954i
\(519\) 17.3437 11.5887i 0.761303 0.508686i
\(520\) −30.3867 13.1941i −1.33255 0.578597i
\(521\) −1.59889 + 2.39291i −0.0700487 + 0.104835i −0.864840 0.502047i \(-0.832580\pi\)
0.794791 + 0.606883i \(0.207580\pi\)
\(522\) 2.18770 1.34333i 0.0957531 0.0587959i
\(523\) 1.10433 0.334994i 0.0482888 0.0146482i −0.266048 0.963960i \(-0.585718\pi\)
0.314337 + 0.949312i \(0.398218\pi\)
\(524\) −15.5040 + 3.43086i −0.677294 + 0.149878i
\(525\) 5.53437 + 4.54194i 0.241540 + 0.198226i
\(526\) −10.7601 22.1335i −0.469162 0.965068i
\(527\) −0.559509 0.231756i −0.0243726 0.0100955i
\(528\) −14.5431 + 3.54677i −0.632908 + 0.154353i
\(529\) −2.10357 + 0.871328i −0.0914597 + 0.0378838i
\(530\) −15.0927 13.3875i −0.655587 0.581517i
\(531\) 1.13483 + 11.5222i 0.0492475 + 0.500019i
\(532\) −12.8172 29.1599i −0.555697 1.26424i
\(533\) −8.43448 + 15.7798i −0.365338 + 0.683499i
\(534\) −2.03908 12.7999i −0.0882396 0.553905i
\(535\) −23.3676 + 4.64810i −1.01027 + 0.200955i
\(536\) 7.52592 0.612699i 0.325070 0.0264646i
\(537\) −1.09986 + 5.52938i −0.0474625 + 0.238610i
\(538\) −4.07398 + 3.77274i −0.175642 + 0.162654i
\(539\) −3.13410 + 31.8211i −0.134995 + 1.37063i
\(540\) 3.39214 1.10891i 0.145974 0.0477198i
\(541\) 1.19441 3.93744i 0.0513517 0.169284i −0.927514 0.373789i \(-0.878058\pi\)
0.978866 + 0.204505i \(0.0655585\pi\)
\(542\) −6.81735 + 11.6555i −0.292830 + 0.500646i
\(543\) 6.11145 + 6.11145i 0.262267 + 0.262267i
\(544\) 6.46869 21.6741i 0.277343 0.929271i
\(545\) −19.5028 + 19.5028i −0.835410 + 0.835410i
\(546\) −9.27234 35.4034i −0.396820 1.51513i
\(547\) 6.26152 + 1.89941i 0.267723 + 0.0812130i 0.421292 0.906925i \(-0.361577\pi\)
−0.153569 + 0.988138i \(0.549077\pi\)
\(548\) −6.84590 + 5.86824i −0.292442 + 0.250679i
\(549\) −15.1990 1.49697i −0.648679 0.0638893i
\(550\) 9.60369 + 0.368696i 0.409503 + 0.0157213i
\(551\) 7.19202 + 1.43058i 0.306390 + 0.0609448i
\(552\) 3.52836 + 12.3829i 0.150177 + 0.527050i
\(553\) −1.88556 9.47933i −0.0801820 0.403102i
\(554\) −30.7222 22.2789i −1.30526 0.946538i
\(555\) 9.44878 + 5.05048i 0.401078 + 0.214381i
\(556\) 41.3427 0.886118i 1.75332 0.0375798i
\(557\) 13.1818 1.29829i 0.558531 0.0550105i 0.185187 0.982703i \(-0.440711\pi\)
0.373344 + 0.927693i \(0.378211\pi\)
\(558\) 0.0128018 + 0.213813i 0.000541944 + 0.00905142i
\(559\) −17.9776 43.4017i −0.760370 1.83570i
\(560\) 18.7679 + 20.9681i 0.793089 + 0.886065i
\(561\) −5.72636 + 13.8247i −0.241767 + 0.583677i
\(562\) 2.82742 + 0.977623i 0.119268 + 0.0412385i
\(563\) −14.8656 + 18.1138i −0.626509 + 0.763404i −0.985452 0.169956i \(-0.945637\pi\)
0.358942 + 0.933360i \(0.383137\pi\)
\(564\) 7.23509 + 10.3413i 0.304652 + 0.435447i
\(565\) 2.81936 + 9.29417i 0.118611 + 0.391009i
\(566\) 19.0139 + 4.54679i 0.799214 + 0.191116i
\(567\) 3.27816 + 2.19039i 0.137670 + 0.0919879i
\(568\) −29.6783 + 5.38238i −1.24527 + 0.225840i
\(569\) −5.45457 8.16334i −0.228667 0.342225i 0.699338 0.714791i \(-0.253478\pi\)
−0.928006 + 0.372566i \(0.878478\pi\)
\(570\) 9.26126 + 4.25943i 0.387912 + 0.178408i
\(571\) −24.4896 + 20.0981i −1.02486 + 0.841079i −0.987404 0.158220i \(-0.949425\pi\)
−0.0374534 + 0.999298i \(0.511925\pi\)
\(572\) −38.6354 30.3454i −1.61543 1.26880i
\(573\) 5.12236 + 9.58327i 0.213990 + 0.400347i
\(574\) 12.1103 9.18435i 0.505473 0.383347i
\(575\) 8.26660i 0.344741i
\(576\) −7.89465 + 1.29401i −0.328944 + 0.0539172i
\(577\) 21.3414i 0.888455i −0.895914 0.444227i \(-0.853478\pi\)
0.895914 0.444227i \(-0.146522\pi\)
\(578\) 0.864920 + 1.14046i 0.0359759 + 0.0474370i
\(579\) 4.06403 + 7.60326i 0.168895 + 0.315981i
\(580\) −6.43212 + 0.773003i −0.267079 + 0.0320972i
\(581\) 8.96405 7.35661i 0.371892 0.305204i
\(582\) −9.24800 + 20.1079i −0.383342 + 0.833500i
\(583\) −16.6220 24.8765i −0.688411 1.03028i
\(584\) −10.9436 + 7.04706i −0.452848 + 0.291609i
\(585\) 9.73847 + 6.50704i 0.402636 + 0.269033i
\(586\) 8.12844 33.9918i 0.335783 1.40419i
\(587\) 3.99769 + 13.1786i 0.165002 + 0.543940i 0.999980 0.00634426i \(-0.00201945\pi\)
−0.834978 + 0.550284i \(0.814519\pi\)
\(588\) −2.97385 + 16.8275i −0.122639 + 0.693954i
\(589\) −0.388137 + 0.472946i −0.0159929 + 0.0194874i
\(590\) 9.54760 27.6130i 0.393068 1.13681i
\(591\) −5.85878 + 14.1443i −0.240998 + 0.581821i
\(592\) −19.2010 14.4266i −0.789156 0.592930i
\(593\) −12.9909 31.3628i −0.533473 1.28792i −0.929210 0.369553i \(-0.879511\pi\)
0.395737 0.918364i \(-0.370489\pi\)
\(594\) 5.28301 0.316314i 0.216764 0.0129785i
\(595\) 27.9946 2.75722i 1.14766 0.113035i
\(596\) −24.8420 + 25.9303i −1.01757 + 1.06214i
\(597\) −10.8166 5.78161i −0.442695 0.236626i
\(598\) −24.8072 + 34.2087i −1.01444 + 1.39890i
\(599\) −4.63786 23.3161i −0.189498 0.952670i −0.952097 0.305798i \(-0.901077\pi\)
0.762599 0.646872i \(-0.223923\pi\)
\(600\) 5.10224 + 0.589962i 0.208298 + 0.0240851i
\(601\) 26.1177 + 5.19512i 1.06536 + 0.211914i 0.696490 0.717567i \(-0.254744\pi\)
0.368872 + 0.929480i \(0.379744\pi\)
\(602\) −1.53090 + 39.8764i −0.0623949 + 1.62524i
\(603\) −2.65676 0.261668i −0.108192 0.0106560i
\(604\) 29.8051 + 2.29188i 1.21275 + 0.0932554i
\(605\) −5.13141 1.55660i −0.208622 0.0632847i
\(606\) −6.93885 + 1.81732i −0.281871 + 0.0738237i
\(607\) −0.468586 + 0.468586i −0.0190193 + 0.0190193i −0.716552 0.697533i \(-0.754281\pi\)
0.697533 + 0.716552i \(0.254281\pi\)
\(608\) −19.0567 12.6099i −0.772851 0.511400i
\(609\) −5.06075 5.06075i −0.205072 0.205072i
\(610\) 33.2678 + 19.4585i 1.34697 + 0.787851i
\(611\) −12.0238 + 39.6370i −0.486429 + 1.60354i
\(612\) −3.61775 + 7.13186i −0.146239 + 0.288288i
\(613\) −0.755117 + 7.66683i −0.0304989 + 0.309660i 0.967817 + 0.251654i \(0.0809744\pi\)
−0.998316 + 0.0580066i \(0.981526\pi\)
\(614\) −16.7623 18.1007i −0.676469 0.730484i
\(615\) −0.948954 + 4.77071i −0.0382655 + 0.192374i
\(616\) 19.0461 + 37.1325i 0.767389 + 1.49611i
\(617\) −14.1892 + 2.82241i −0.571235 + 0.113626i −0.472252 0.881463i \(-0.656559\pi\)
−0.0989829 + 0.995089i \(0.531559\pi\)
\(618\) 3.79081 0.603894i 0.152489 0.0242922i
\(619\) −7.11777 + 13.3164i −0.286087 + 0.535232i −0.983381 0.181554i \(-0.941887\pi\)
0.697294 + 0.716785i \(0.254387\pi\)
\(620\) 0.196102 0.503699i 0.00787565 0.0202291i
\(621\) −0.446200 4.53034i −0.0179054 0.181796i
\(622\) −24.3097 + 27.4061i −0.974730 + 1.09889i
\(623\) −33.3835 + 13.8279i −1.33748 + 0.554002i
\(624\) −19.3436 17.7526i −0.774362 0.710674i
\(625\) 11.6619 + 4.83051i 0.466475 + 0.193220i
\(626\) −38.4143 + 18.6749i −1.53535 + 0.746399i
\(627\) 11.6858 + 9.59030i 0.466687 + 0.383000i
\(628\) 11.8841 18.6384i 0.474228 0.743755i
\(629\) −22.9739 + 6.96906i −0.916030 + 0.277875i
\(630\) −5.20607 8.47844i −0.207415 0.337789i
\(631\) 9.61773 14.3939i 0.382876 0.573014i −0.589110 0.808053i \(-0.700522\pi\)
0.971986 + 0.235039i \(0.0755217\pi\)
\(632\) −4.81911 4.98523i −0.191694 0.198302i
\(633\) 1.26258 0.843628i 0.0501830 0.0335312i
\(634\) 2.55563 0.945428i 0.101497 0.0375477i
\(635\) −12.5545 15.2977i −0.498212 0.607073i
\(636\) −7.83775 13.9366i −0.310787 0.552621i
\(637\) −49.4596 + 26.4367i −1.95966 + 1.04746i
\(638\) −9.51795 1.30779i −0.376819 0.0517758i
\(639\) 10.6640 0.421862
\(640\) 19.4642 + 5.35768i 0.769391 + 0.211781i
\(641\) −25.1023 −0.991483 −0.495741 0.868470i \(-0.665104\pi\)
−0.495741 + 0.868470i \(0.665104\pi\)
\(642\) −18.7069 2.57037i −0.738302 0.101444i
\(643\) 23.4824 12.5516i 0.926054 0.494986i 0.0618263 0.998087i \(-0.480308\pi\)
0.864228 + 0.503101i \(0.167808\pi\)
\(644\) 31.2872 17.5955i 1.23289 0.693361i
\(645\) −8.10192 9.87221i −0.319013 0.388718i
\(646\) −21.4234 + 7.92536i −0.842892 + 0.311819i
\(647\) −5.99339 + 4.00465i −0.235624 + 0.157439i −0.667777 0.744361i \(-0.732754\pi\)
0.432153 + 0.901800i \(0.357754\pi\)
\(648\) 2.82802 + 0.0479171i 0.111095 + 0.00188236i
\(649\) 24.0720 36.0263i 0.944909 1.41416i
\(650\) 8.82041 + 14.3646i 0.345965 + 0.563427i
\(651\) 0.571431 0.173342i 0.0223962 0.00679380i
\(652\) −29.4954 18.8067i −1.15513 0.736527i
\(653\) 25.0158 + 20.5299i 0.978942 + 0.803397i 0.980483 0.196602i \(-0.0629906\pi\)
−0.00154129 + 0.999999i \(0.500491\pi\)
\(654\) −19.6593 + 9.55726i −0.768740 + 0.373718i
\(655\) −13.0888 5.42157i −0.511423 0.211838i
\(656\) 3.73724 10.2433i 0.145915 0.399935i
\(657\) 4.25164 1.76109i 0.165872 0.0687065i
\(658\) 23.3483 26.3222i 0.910210 1.02615i
\(659\) 2.58284 + 26.2241i 0.100613 + 1.02154i 0.904417 + 0.426650i \(0.140306\pi\)
−0.803804 + 0.594895i \(0.797194\pi\)
\(660\) −12.4457 4.84540i −0.484448 0.188607i
\(661\) 12.9940 24.3101i 0.505408 0.945552i −0.491788 0.870715i \(-0.663656\pi\)
0.997196 0.0748366i \(-0.0238435\pi\)
\(662\) −15.2445 + 2.42852i −0.592493 + 0.0943870i
\(663\) −25.7408 + 5.12017i −0.999692 + 0.198851i
\(664\) 2.54946 7.91891i 0.0989381 0.307313i
\(665\) 5.54422 27.8727i 0.214996 1.08086i
\(666\) 5.76944 + 6.23011i 0.223561 + 0.241412i
\(667\) −0.809983 + 8.22390i −0.0313627 + 0.318431i
\(668\) 25.2950 + 12.8313i 0.978694 + 0.496458i
\(669\) 1.08734 3.58448i 0.0420390 0.138584i
\(670\) 5.81515 + 3.40131i 0.224659 + 0.131404i
\(671\) 40.4148 + 40.4148i 1.56020 + 1.56020i
\(672\) 8.62728 + 20.5665i 0.332805 + 0.793371i
\(673\) −17.7806 + 17.7806i −0.685391 + 0.685391i −0.961210 0.275819i \(-0.911051\pi\)
0.275819 + 0.961210i \(0.411051\pi\)
\(674\) −21.8158 + 5.71367i −0.840312 + 0.220082i
\(675\) −1.73774 0.527137i −0.0668856 0.0202895i
\(676\) 4.61289 59.9890i 0.177419 2.30727i
\(677\) 28.8775 + 2.84419i 1.10985 + 0.109311i 0.636291 0.771449i \(-0.280468\pi\)
0.473563 + 0.880760i \(0.342968\pi\)
\(678\) −0.295298 + 7.69183i −0.0113409 + 0.295403i
\(679\) 60.5167 + 12.0375i 2.32242 + 0.461958i
\(680\) 15.8144 12.5363i 0.606454 0.480743i
\(681\) −5.58854 28.0955i −0.214153 1.07662i
\(682\) 0.470583 0.648926i 0.0180195 0.0248486i
\(683\) 19.0879 + 10.2027i 0.730380 + 0.390396i 0.794273 0.607561i \(-0.207852\pi\)
−0.0638935 + 0.997957i \(0.520352\pi\)
\(684\) 5.83386 + 5.58902i 0.223063 + 0.213702i
\(685\) −8.00602 + 0.788525i −0.305894 + 0.0301280i
\(686\) 8.59415 0.514565i 0.328126 0.0196462i
\(687\) 1.07641 + 2.59869i 0.0410678 + 0.0991464i
\(688\) 14.5648 + 24.6466i 0.555277 + 0.939644i
\(689\) 20.0813 48.4807i 0.765038 1.84697i
\(690\) −3.75398 + 10.8570i −0.142911 + 0.413320i
\(691\) −27.8202 + 33.8990i −1.05833 + 1.28958i −0.102796 + 0.994702i \(0.532779\pi\)
−0.955535 + 0.294878i \(0.904721\pi\)
\(692\) −41.0815 7.26015i −1.56168 0.275989i
\(693\) −4.28302 14.1192i −0.162699 0.536346i
\(694\) −3.21462 + 13.4430i −0.122025 + 0.510289i
\(695\) 30.6765 + 20.4974i 1.16363 + 0.777510i
\(696\) −5.01807 1.08684i −0.190210 0.0411967i
\(697\) −6.05554 9.06275i −0.229370 0.343276i
\(698\) 15.4731 33.6432i 0.585667 1.27341i
\(699\) 3.04158 2.49616i 0.115043 0.0944136i
\(700\) −1.70854 14.2167i −0.0645769 0.537341i
\(701\) −8.01344 14.9921i −0.302664 0.566244i 0.683909 0.729567i \(-0.260279\pi\)
−0.986573 + 0.163324i \(0.947779\pi\)
\(702\) 5.60919 + 7.39615i 0.211705 + 0.279150i
\(703\) 24.2541i 0.914761i
\(704\) 25.9103 + 14.9994i 0.976532 + 0.565311i
\(705\) 11.2604i 0.424091i
\(706\) 29.5296 22.3950i 1.11136 0.842847i
\(707\) 9.42646 + 17.6357i 0.354518 + 0.663257i
\(708\) 14.3029 18.2104i 0.537538 0.684387i
\(709\) −2.04074 + 1.67479i −0.0766416 + 0.0628981i −0.671934 0.740611i \(-0.734536\pi\)
0.595292 + 0.803509i \(0.297036\pi\)
\(710\) −24.4490 11.2445i −0.917555 0.422000i
\(711\) 1.36195 + 2.03829i 0.0510769 + 0.0764420i
\(712\) −14.7649 + 21.3067i −0.553337 + 0.798504i
\(713\) −0.573284 0.383056i −0.0214697 0.0143456i
\(714\) 21.6830 + 5.18504i 0.811464 + 0.194045i
\(715\) −12.7237 41.9443i −0.475838 1.56863i
\(716\) 9.23877 6.46374i 0.345269 0.241561i
\(717\) 7.72631 9.41453i 0.288544 0.351592i
\(718\) 15.3771 + 5.31686i 0.573869 + 0.198424i
\(719\) 6.10001 14.7267i 0.227492 0.549215i −0.768379 0.639995i \(-0.778936\pi\)
0.995871 + 0.0907808i \(0.0289363\pi\)
\(720\) −6.43317 3.09183i −0.239750 0.115226i
\(721\) −4.09526 9.88684i −0.152516 0.368205i
\(722\) −0.226711 3.78647i −0.00843730 0.140918i
\(723\) −21.0801 + 2.07621i −0.783977 + 0.0772150i
\(724\) −0.370410 17.2818i −0.0137662 0.642274i
\(725\) 2.90721 + 1.55393i 0.107971 + 0.0577117i
\(726\) −3.44046 2.49493i −0.127687 0.0925954i
\(727\) −4.58626 23.0567i −0.170095 0.855126i −0.967731 0.251986i \(-0.918916\pi\)
0.797636 0.603139i \(-0.206084\pi\)
\(728\) −35.5925 + 63.9584i −1.31915 + 2.37046i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −11.6045 0.445511i −0.429503 0.0164891i
\(731\) 28.4798 + 2.80502i 1.05336 + 0.103747i
\(732\) 19.8792 + 23.1911i 0.734755 + 0.857166i
\(733\) 5.33915 + 1.61961i 0.197206 + 0.0598218i 0.387343 0.921936i \(-0.373393\pi\)
−0.190137 + 0.981758i \(0.560893\pi\)
\(734\) 6.03593 + 23.0462i 0.222790 + 0.850652i
\(735\) −10.7806 + 10.7806i −0.397649 + 0.397649i
\(736\) 12.0371 22.7650i 0.443694 0.839131i
\(737\) 7.06444 + 7.06444i 0.260222 + 0.260222i
\(738\) −1.94636 + 3.32766i −0.0716466 + 0.122493i
\(739\) −4.54020 + 14.9670i −0.167014 + 0.550571i −0.999996 0.00272825i \(-0.999132\pi\)
0.832982 + 0.553300i \(0.186632\pi\)
\(740\) −6.65810 20.3671i −0.244757 0.748708i
\(741\) −2.59888 + 26.3868i −0.0954721 + 0.969345i
\(742\) −32.7058 + 30.2874i −1.20067 + 1.11188i
\(743\) −1.95925 + 9.84983i −0.0718781 + 0.361355i −0.999939 0.0110738i \(-0.996475\pi\)
0.928061 + 0.372429i \(0.121475\pi\)
\(744\) 0.277340 0.326500i 0.0101678 0.0119701i
\(745\) −31.4229 + 6.25041i −1.15125 + 0.228997i
\(746\) 3.56481 + 22.3773i 0.130517 + 0.819291i
\(747\) −1.38651 + 2.59398i −0.0507297 + 0.0949086i
\(748\) 27.3975 12.0426i 1.00175 0.440320i
\(749\) 5.15980 + 52.3884i 0.188535 + 1.91423i
\(750\) 12.8675 + 11.4137i 0.469854 + 0.416768i
\(751\) 43.9270 18.1952i 1.60292 0.663951i 0.611094 0.791558i \(-0.290730\pi\)
0.991825 + 0.127607i \(0.0407298\pi\)
\(752\) 3.85917 24.9452i 0.140729 0.909657i
\(753\) 12.0861 + 5.00624i 0.440443 + 0.182437i
\(754\) −7.36736 15.1547i −0.268303 0.551901i
\(755\) 20.6166 + 16.9196i 0.750316 + 0.615769i
\(756\) −1.70370 7.69896i −0.0619628 0.280008i
\(757\) 46.3806 14.0694i 1.68573 0.511361i 0.705415 0.708794i \(-0.250761\pi\)
0.980316 + 0.197433i \(0.0632606\pi\)
\(758\) −30.5528 + 18.7605i −1.10973 + 0.681412i
\(759\) −9.46476 + 14.1650i −0.343549 + 0.514158i
\(760\) −7.48178 18.9652i −0.271393 0.687939i
\(761\) −24.4692 + 16.3498i −0.887007 + 0.592679i −0.913441 0.406971i \(-0.866585\pi\)
0.0264336 + 0.999651i \(0.491585\pi\)
\(762\) −5.44182 14.7100i −0.197136 0.532888i
\(763\) 38.6601 + 47.1075i 1.39959 + 1.70541i
\(764\) 5.86157 20.9273i 0.212064 0.757123i
\(765\) −6.29240 + 3.36336i −0.227502 + 0.121603i
\(766\) 5.55815 40.4517i 0.200824 1.46158i
\(767\) 75.9947 2.74401
\(768\) 13.1918 + 9.05411i 0.476017 + 0.326712i
\(769\) 13.4439 0.484799 0.242399 0.970177i \(-0.422066\pi\)
0.242399 + 0.970177i \(0.422066\pi\)
\(770\) −5.06833 + 36.8868i −0.182650 + 1.32931i
\(771\) 20.7533 11.0929i 0.747411 0.399499i
\(772\) 4.65051 16.6035i 0.167375 0.597573i
\(773\) −11.2434 13.7001i −0.404398 0.492760i 0.530496 0.847687i