Properties

Label 354.2.e.c.49.3
Level 354
Weight 2
Character 354.49
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 49.3
Character \(\chi\) = 354.49
Dual form 354.2.e.c.289.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(1.45282 - 1.71039i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-1.71569 - 1.03229i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\) \(q+(-0.370138 + 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(1.45282 - 1.71039i) q^{5} +(-0.468408 + 0.883512i) q^{6} +(-1.71569 - 1.03229i) q^{7} +(0.907575 - 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(1.05117 + 1.98271i) q^{10} +(0.0279740 - 0.515950i) q^{11} +(-0.647386 - 0.762162i) q^{12} +(5.54018 - 1.21948i) q^{13} +(1.59402 - 1.21174i) q^{14} +(1.62923 - 1.54329i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(1.99422 - 1.19988i) q^{17} +(-0.561187 + 0.827689i) q^{18} +(-0.224878 + 0.809936i) q^{19} +(-2.23097 + 0.242633i) q^{20} +(-1.59402 - 1.21174i) q^{21} +(0.468951 + 0.216960i) q^{22} +(-2.30909 - 3.40565i) q^{23} +(0.947653 - 0.319302i) q^{24} +(-0.00584200 - 0.0356346i) q^{25} +(-0.917757 + 5.59807i) q^{26} +(0.947653 + 0.319302i) q^{27} +(0.535672 + 1.92932i) q^{28} +(-1.59058 - 3.99205i) q^{29} +(0.830637 + 2.08474i) q^{30} +(1.01176 + 3.64405i) q^{31} +(-0.947653 - 0.319302i) q^{32} +(0.0835940 - 0.509901i) q^{33} +(0.376526 + 2.29671i) q^{34} +(-4.25820 + 1.43476i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(8.83659 + 4.08824i) q^{37} +(-0.669176 - 0.508694i) q^{38} +(5.63955 - 0.613338i) q^{39} +(0.600368 - 2.16233i) q^{40} +(-5.59929 + 8.25834i) q^{41} +(1.71569 - 1.03229i) q^{42} +(0.440400 + 8.12269i) q^{43} +(-0.375127 + 0.355339i) q^{44} +(1.78653 - 1.35809i) q^{45} +(4.01845 - 0.884527i) q^{46} +(-6.47213 - 7.61958i) q^{47} +(-0.0541389 + 0.998533i) q^{48} +(-1.40091 - 2.64240i) q^{49} +(0.0352661 + 0.00776265i) q^{50} +(2.11226 - 0.977236i) q^{51} +(-4.86078 - 2.92464i) q^{52} +(-4.95106 + 9.33870i) q^{53} +(-0.647386 + 0.762162i) q^{54} +(-0.841834 - 0.797427i) q^{55} +(-1.99056 - 0.216487i) q^{56} +(-0.311129 + 0.780875i) q^{57} +4.29726 q^{58} +(-1.83998 - 7.45751i) q^{59} -2.24413 q^{60} +(0.102756 - 0.257898i) q^{61} +(-3.75973 - 0.408895i) q^{62} +(-1.45366 - 1.37698i) q^{63} +(0.647386 - 0.762162i) q^{64} +(5.96307 - 11.2475i) q^{65} +(0.442745 + 0.266391i) q^{66} +(-2.12829 + 0.984650i) q^{67} +(-2.27296 - 0.500315i) q^{68} +(-1.92733 - 3.63534i) q^{69} +(0.243269 - 4.48683i) q^{70} +(5.07130 + 5.97039i) q^{71} +(0.976621 - 0.214970i) q^{72} +(-6.14456 + 4.67098i) q^{73} +(-7.06864 + 6.69577i) q^{74} +(-0.00195497 - 0.0360574i) q^{75} +(0.720253 - 0.433362i) q^{76} +(-0.580606 + 0.856330i) q^{77} +(-1.51764 + 5.46603i) q^{78} +(-4.42166 + 0.480884i) q^{79} +(1.78653 + 1.35809i) q^{80} +(0.907575 + 0.419889i) q^{81} +(-5.59929 - 8.25834i) q^{82} +(-0.0601995 + 0.0202836i) q^{83} +(0.323936 + 1.97592i) q^{84} +(0.844973 - 5.15411i) q^{85} +(-7.70880 - 2.59740i) q^{86} +(-1.14964 - 4.14062i) q^{87} +(-0.191253 - 0.480009i) q^{88} +(-3.85635 - 9.67870i) q^{89} +(0.600368 + 2.16233i) q^{90} +(-10.7641 - 3.62684i) q^{91} +(-0.665676 + 4.06044i) q^{92} +(0.611843 + 3.73208i) q^{93} +(9.47400 - 3.19216i) q^{94} +(1.05860 + 1.56132i) q^{95} +(-0.907575 - 0.419889i) q^{96} +(-7.52947 - 5.72376i) q^{97} +(2.97326 - 0.323361i) q^{98} +(0.138234 - 0.497874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{18}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.370138 + 0.928977i −0.261727 + 0.656886i
\(3\) 0.994138 + 0.108119i 0.573966 + 0.0624225i
\(4\) −0.725995 0.687699i −0.362998 0.343850i
\(5\) 1.45282 1.71039i 0.649720 0.764909i −0.334397 0.942432i \(-0.608533\pi\)
0.984117 + 0.177523i \(0.0568084\pi\)
\(6\) −0.468408 + 0.883512i −0.191227 + 0.360692i
\(7\) −1.71569 1.03229i −0.648468 0.390170i 0.152984 0.988229i \(-0.451112\pi\)
−0.801453 + 0.598058i \(0.795939\pi\)
\(8\) 0.907575 0.419889i 0.320876 0.148453i
\(9\) 0.976621 + 0.214970i 0.325540 + 0.0716568i
\(10\) 1.05117 + 1.98271i 0.332409 + 0.626989i
\(11\) 0.0279740 0.515950i 0.00843447 0.155565i −0.991282 0.131757i \(-0.957938\pi\)
0.999717 0.0238079i \(-0.00757902\pi\)
\(12\) −0.647386 0.762162i −0.186884 0.220017i
\(13\) 5.54018 1.21948i 1.53657 0.338224i 0.635569 0.772044i \(-0.280766\pi\)
0.901000 + 0.433820i \(0.142835\pi\)
\(14\) 1.59402 1.21174i 0.426019 0.323851i
\(15\) 1.62923 1.54329i 0.420665 0.398475i
\(16\) 0.0541389 + 0.998533i 0.0135347 + 0.249633i
\(17\) 1.99422 1.19988i 0.483670 0.291014i −0.252759 0.967529i \(-0.581338\pi\)
0.736429 + 0.676515i \(0.236510\pi\)
\(18\) −0.561187 + 0.827689i −0.132273 + 0.195088i
\(19\) −0.224878 + 0.809936i −0.0515905 + 0.185812i −0.984856 0.173376i \(-0.944532\pi\)
0.933265 + 0.359188i \(0.116946\pi\)
\(20\) −2.23097 + 0.242633i −0.498861 + 0.0542544i
\(21\) −1.59402 1.21174i −0.347843 0.264424i
\(22\) 0.468951 + 0.216960i 0.0999807 + 0.0462560i
\(23\) −2.30909 3.40565i −0.481478 0.710126i 0.506924 0.861991i \(-0.330783\pi\)
−0.988401 + 0.151865i \(0.951472\pi\)
\(24\) 0.947653 0.319302i 0.193439 0.0651772i
\(25\) −0.00584200 0.0356346i −0.00116840 0.00712692i
\(26\) −0.917757 + 5.59807i −0.179987 + 1.09787i
\(27\) 0.947653 + 0.319302i 0.182376 + 0.0614496i
\(28\) 0.535672 + 1.92932i 0.101233 + 0.364607i
\(29\) −1.59058 3.99205i −0.295363 0.741306i −0.999512 0.0312529i \(-0.990050\pi\)
0.704148 0.710053i \(-0.251329\pi\)
\(30\) 0.830637 + 2.08474i 0.151653 + 0.380620i
\(31\) 1.01176 + 3.64405i 0.181718 + 0.654490i 0.997137 + 0.0756182i \(0.0240930\pi\)
−0.815419 + 0.578872i \(0.803493\pi\)
\(32\) −0.947653 0.319302i −0.167523 0.0564451i
\(33\) 0.0835940 0.509901i 0.0145518 0.0887623i
\(34\) 0.376526 + 2.29671i 0.0645737 + 0.393882i
\(35\) −4.25820 + 1.43476i −0.719768 + 0.242518i
\(36\) −0.561187 0.827689i −0.0935312 0.137948i
\(37\) 8.83659 + 4.08824i 1.45273 + 0.672102i 0.978110 0.208090i \(-0.0667249\pi\)
0.474616 + 0.880193i \(0.342587\pi\)
\(38\) −0.669176 0.508694i −0.108555 0.0825211i
\(39\) 5.63955 0.613338i 0.903051 0.0982127i
\(40\) 0.600368 2.16233i 0.0949265 0.341894i
\(41\) −5.59929 + 8.25834i −0.874463 + 1.28974i 0.0816275 + 0.996663i \(0.473988\pi\)
−0.956090 + 0.293073i \(0.905322\pi\)
\(42\) 1.71569 1.03229i 0.264736 0.159286i
\(43\) 0.440400 + 8.12269i 0.0671603 + 1.23870i 0.816827 + 0.576883i \(0.195731\pi\)
−0.749666 + 0.661816i \(0.769786\pi\)
\(44\) −0.375127 + 0.355339i −0.0565526 + 0.0535694i
\(45\) 1.78653 1.35809i 0.266321 0.202452i
\(46\) 4.01845 0.884527i 0.592488 0.130416i
\(47\) −6.47213 7.61958i −0.944058 1.11143i −0.993634 0.112660i \(-0.964063\pi\)
0.0495759 0.998770i \(-0.484213\pi\)
\(48\) −0.0541389 + 0.998533i −0.00781428 + 0.144126i
\(49\) −1.40091 2.64240i −0.200130 0.377486i
\(50\) 0.0352661 + 0.00776265i 0.00498738 + 0.00109780i
\(51\) 2.11226 0.977236i 0.295776 0.136840i
\(52\) −4.86078 2.92464i −0.674069 0.405574i
\(53\) −4.95106 + 9.33870i −0.680081 + 1.28277i 0.267594 + 0.963532i \(0.413771\pi\)
−0.947675 + 0.319237i \(0.896573\pi\)
\(54\) −0.647386 + 0.762162i −0.0880981 + 0.103717i
\(55\) −0.841834 0.797427i −0.113513 0.107525i
\(56\) −1.99056 0.216487i −0.266000 0.0289293i
\(57\) −0.311129 + 0.780875i −0.0412100 + 0.103429i
\(58\) 4.29726 0.564258
\(59\) −1.83998 7.45751i −0.239545 0.970885i
\(60\) −2.24413 −0.289716
\(61\) 0.102756 0.257898i 0.0131566 0.0330205i −0.922252 0.386590i \(-0.873653\pi\)
0.935408 + 0.353569i \(0.115032\pi\)
\(62\) −3.75973 0.408895i −0.477486 0.0519297i
\(63\) −1.45366 1.37698i −0.183144 0.173483i
\(64\) 0.647386 0.762162i 0.0809233 0.0952703i
\(65\) 5.96307 11.2475i 0.739628 1.39509i
\(66\) 0.442745 + 0.266391i 0.0544981 + 0.0327904i
\(67\) −2.12829 + 0.984650i −0.260012 + 0.120294i −0.545565 0.838069i \(-0.683685\pi\)
0.285553 + 0.958363i \(0.407823\pi\)
\(68\) −2.27296 0.500315i −0.275636 0.0606721i
\(69\) −1.92733 3.63534i −0.232024 0.437643i
\(70\) 0.243269 4.48683i 0.0290762 0.536279i
\(71\) 5.07130 + 5.97039i 0.601852 + 0.708555i 0.975743 0.218918i \(-0.0702526\pi\)
−0.373891 + 0.927473i \(0.621977\pi\)
\(72\) 0.976621 0.214970i 0.115096 0.0253345i
\(73\) −6.14456 + 4.67098i −0.719167 + 0.546696i −0.899506 0.436908i \(-0.856073\pi\)
0.180339 + 0.983604i \(0.442280\pi\)
\(74\) −7.06864 + 6.69577i −0.821712 + 0.778367i
\(75\) −0.00195497 0.0360574i −0.000225741 0.00416355i
\(76\) 0.720253 0.433362i 0.0826187 0.0497100i
\(77\) −0.580606 + 0.856330i −0.0661662 + 0.0975879i
\(78\) −1.51764 + 5.46603i −0.171838 + 0.618906i
\(79\) −4.42166 + 0.480884i −0.497475 + 0.0541037i −0.353418 0.935466i \(-0.614981\pi\)
−0.144057 + 0.989569i \(0.546015\pi\)
\(80\) 1.78653 + 1.35809i 0.199741 + 0.151839i
\(81\) 0.907575 + 0.419889i 0.100842 + 0.0466543i
\(82\) −5.59929 8.25834i −0.618338 0.911981i
\(83\) −0.0601995 + 0.0202836i −0.00660775 + 0.00222641i −0.322603 0.946534i \(-0.604558\pi\)
0.315996 + 0.948761i \(0.397661\pi\)
\(84\) 0.323936 + 1.97592i 0.0353443 + 0.215591i
\(85\) 0.844973 5.15411i 0.0916502 0.559041i
\(86\) −7.70880 2.59740i −0.831261 0.280085i
\(87\) −1.14964 4.14062i −0.123254 0.443922i
\(88\) −0.191253 0.480009i −0.0203877 0.0511692i
\(89\) −3.85635 9.67870i −0.408772 1.02594i −0.978892 0.204379i \(-0.934483\pi\)
0.570120 0.821562i \(-0.306897\pi\)
\(90\) 0.600368 + 2.16233i 0.0632843 + 0.227930i
\(91\) −10.7641 3.62684i −1.12838 0.380196i
\(92\) −0.665676 + 4.06044i −0.0694015 + 0.423330i
\(93\) 0.611843 + 3.73208i 0.0634451 + 0.386998i
\(94\) 9.47400 3.19216i 0.977169 0.329246i
\(95\) 1.05860 + 1.56132i 0.108610 + 0.160188i
\(96\) −0.907575 0.419889i −0.0926290 0.0428548i
\(97\) −7.52947 5.72376i −0.764502 0.581160i 0.148597 0.988898i \(-0.452524\pi\)
−0.913099 + 0.407738i \(0.866318\pi\)
\(98\) 2.97326 0.323361i 0.300344 0.0326644i
\(99\) 0.138234 0.497874i 0.0138930 0.0500382i
\(100\) −0.0202646 + 0.0298881i −0.00202646 + 0.00298881i
\(101\) 5.81513 3.49885i 0.578627 0.348148i −0.195964 0.980611i \(-0.562783\pi\)
0.774591 + 0.632463i \(0.217956\pi\)
\(102\) 0.126001 + 2.32395i 0.0124760 + 0.230106i
\(103\) −4.42168 + 4.18844i −0.435681 + 0.412699i −0.873852 0.486193i \(-0.838385\pi\)
0.438170 + 0.898892i \(0.355627\pi\)
\(104\) 4.51608 3.43303i 0.442838 0.336637i
\(105\) −4.38837 + 0.965952i −0.428261 + 0.0942673i
\(106\) −6.84285 8.05603i −0.664637 0.782471i
\(107\) −0.191508 + 3.53215i −0.0185137 + 0.341466i 0.974572 + 0.224075i \(0.0719359\pi\)
−0.993086 + 0.117391i \(0.962547\pi\)
\(108\) −0.468408 0.883512i −0.0450726 0.0850160i
\(109\) 0.473527 + 0.104231i 0.0453557 + 0.00998354i 0.237590 0.971365i \(-0.423642\pi\)
−0.192235 + 0.981349i \(0.561573\pi\)
\(110\) 1.05239 0.486886i 0.100341 0.0464227i
\(111\) 8.34277 + 5.01968i 0.791861 + 0.476447i
\(112\) 0.937895 1.76906i 0.0886227 0.167160i
\(113\) −2.26128 + 2.66218i −0.212723 + 0.250437i −0.858167 0.513371i \(-0.828397\pi\)
0.645444 + 0.763808i \(0.276672\pi\)
\(114\) −0.610254 0.578063i −0.0571555 0.0541406i
\(115\) −9.17966 0.998348i −0.856008 0.0930965i
\(116\) −1.59058 + 3.99205i −0.147682 + 0.370653i
\(117\) 5.67280 0.524451
\(118\) 7.60890 + 1.05101i 0.700456 + 0.0967537i
\(119\) −4.66009 −0.427190
\(120\) 0.830637 2.08474i 0.0758265 0.190310i
\(121\) 10.6701 + 1.16044i 0.970009 + 0.105495i
\(122\) 0.201547 + 0.190916i 0.0182472 + 0.0172847i
\(123\) −6.45935 + 7.60454i −0.582420 + 0.685678i
\(124\) 1.77147 3.34135i 0.159083 0.300062i
\(125\) 9.54505 + 5.74307i 0.853735 + 0.513675i
\(126\) 1.81724 0.840744i 0.161893 0.0748995i
\(127\) −10.8700 2.39267i −0.964556 0.212315i −0.295348 0.955390i \(-0.595436\pi\)
−0.669208 + 0.743075i \(0.733367\pi\)
\(128\) 0.468408 + 0.883512i 0.0414018 + 0.0780922i
\(129\) −0.440400 + 8.12269i −0.0387750 + 0.715163i
\(130\) 8.24155 + 9.70270i 0.722832 + 0.850983i
\(131\) −8.41574 + 1.85245i −0.735287 + 0.161849i −0.566800 0.823855i \(-0.691819\pi\)
−0.168486 + 0.985704i \(0.553888\pi\)
\(132\) −0.411347 + 0.312698i −0.0358032 + 0.0272169i
\(133\) 1.22191 1.15746i 0.105953 0.100364i
\(134\) −0.126957 2.34158i −0.0109674 0.202282i
\(135\) 1.92290 1.15697i 0.165497 0.0995760i
\(136\) 1.30609 1.92634i 0.111996 0.165182i
\(137\) −0.985920 + 3.55096i −0.0842329 + 0.303379i −0.993651 0.112503i \(-0.964113\pi\)
0.909419 + 0.415882i \(0.136527\pi\)
\(138\) 4.09053 0.444871i 0.348209 0.0378700i
\(139\) 17.4344 + 13.2533i 1.47876 + 1.12413i 0.963704 + 0.266975i \(0.0860240\pi\)
0.515061 + 0.857153i \(0.327769\pi\)
\(140\) 4.07812 + 1.88674i 0.344664 + 0.159458i
\(141\) −5.61037 8.27468i −0.472479 0.696854i
\(142\) −7.42343 + 2.50125i −0.622961 + 0.209900i
\(143\) −0.474212 2.89257i −0.0396556 0.241889i
\(144\) −0.161782 + 0.986827i −0.0134818 + 0.0822355i
\(145\) −9.13879 3.07922i −0.758935 0.255715i
\(146\) −2.06489 7.43706i −0.170892 0.615496i
\(147\) −1.10701 2.77838i −0.0913043 0.229157i
\(148\) −3.60384 9.04496i −0.296234 0.743491i
\(149\) 1.09079 + 3.92867i 0.0893611 + 0.321849i 0.994697 0.102846i \(-0.0327949\pi\)
−0.905336 + 0.424696i \(0.860381\pi\)
\(150\) 0.0342201 + 0.0115301i 0.00279406 + 0.000941427i
\(151\) −0.205443 + 1.25315i −0.0167187 + 0.101980i −0.993868 0.110576i \(-0.964730\pi\)
0.977149 + 0.212556i \(0.0681787\pi\)
\(152\) 0.135990 + 0.829502i 0.0110302 + 0.0672815i
\(153\) 2.20554 0.743132i 0.178307 0.0600787i
\(154\) −0.580606 0.856330i −0.0467866 0.0690051i
\(155\) 7.70265 + 3.56362i 0.618691 + 0.286237i
\(156\) −4.51608 3.43303i −0.361576 0.274863i
\(157\) 8.65295 0.941065i 0.690580 0.0751051i 0.243902 0.969800i \(-0.421572\pi\)
0.446678 + 0.894695i \(0.352607\pi\)
\(158\) 1.18989 4.28561i 0.0946628 0.340945i
\(159\) −5.93173 + 8.74865i −0.470417 + 0.693813i
\(160\) −1.92290 + 1.15697i −0.152018 + 0.0914664i
\(161\) 0.446037 + 8.22668i 0.0351527 + 0.648353i
\(162\) −0.725995 + 0.687699i −0.0570396 + 0.0540308i
\(163\) −9.31559 + 7.08153i −0.729653 + 0.554668i −0.902713 0.430243i \(-0.858428\pi\)
0.173060 + 0.984911i \(0.444635\pi\)
\(164\) 9.74432 2.14489i 0.760903 0.167487i
\(165\) −0.750682 0.883771i −0.0584405 0.0688015i
\(166\) 0.00343916 0.0634317i 0.000266931 0.00492325i
\(167\) 4.75730 + 8.97322i 0.368131 + 0.694369i 0.996504 0.0835433i \(-0.0266237\pi\)
−0.628373 + 0.777912i \(0.716279\pi\)
\(168\) −1.95549 0.430436i −0.150869 0.0332088i
\(169\) 17.4079 8.05376i 1.33907 0.619520i
\(170\) 4.47529 + 2.69269i 0.343239 + 0.206520i
\(171\) −0.393732 + 0.742658i −0.0301095 + 0.0567925i
\(172\) 5.26624 6.19990i 0.401547 0.472738i
\(173\) 7.67716 + 7.27219i 0.583683 + 0.552894i 0.921530 0.388307i \(-0.126940\pi\)
−0.337847 + 0.941201i \(0.609699\pi\)
\(174\) 4.27207 + 0.464616i 0.323865 + 0.0352224i
\(175\) −0.0267624 + 0.0671685i −0.00202304 + 0.00507746i
\(176\) 0.516708 0.0389483
\(177\) −1.02289 7.61273i −0.0768852 0.572208i
\(178\) 10.4187 0.780912
\(179\) −1.93755 + 4.86288i −0.144819 + 0.363469i −0.983437 0.181252i \(-0.941985\pi\)
0.838618 + 0.544721i \(0.183364\pi\)
\(180\) −2.23097 0.242633i −0.166287 0.0180848i
\(181\) −13.6702 12.9491i −1.01610 0.962498i −0.0167949 0.999859i \(-0.505346\pi\)
−0.999302 + 0.0373610i \(0.988105\pi\)
\(182\) 7.35344 8.65714i 0.545073 0.641710i
\(183\) 0.130037 0.245276i 0.00961263 0.0181313i
\(184\) −3.52566 2.12132i −0.259915 0.156386i
\(185\) 19.8304 9.17453i 1.45796 0.674525i
\(186\) −3.69348 0.812996i −0.270819 0.0596117i
\(187\) −0.563293 1.06248i −0.0411921 0.0776965i
\(188\) −0.541244 + 9.98267i −0.0394743 + 0.728061i
\(189\) −1.29626 1.52608i −0.0942892 0.111006i
\(190\) −1.84226 + 0.405511i −0.133651 + 0.0294189i
\(191\) 15.0687 11.4550i 1.09034 0.828851i 0.104161 0.994560i \(-0.466784\pi\)
0.986175 + 0.165709i \(0.0529912\pi\)
\(192\) 0.725995 0.687699i 0.0523942 0.0496304i
\(193\) 0.839600 + 15.4855i 0.0604358 + 1.11467i 0.858738 + 0.512415i \(0.171249\pi\)
−0.798302 + 0.602257i \(0.794268\pi\)
\(194\) 8.10418 4.87613i 0.581846 0.350085i
\(195\) 7.14419 10.5369i 0.511606 0.754562i
\(196\) −0.800121 + 2.88178i −0.0571515 + 0.205841i
\(197\) 15.1480 1.64745i 1.07925 0.117376i 0.448821 0.893622i \(-0.351844\pi\)
0.630430 + 0.776246i \(0.282879\pi\)
\(198\) 0.411347 + 0.312698i 0.0292332 + 0.0222225i
\(199\) 24.2086 + 11.2001i 1.71611 + 0.793955i 0.994858 + 0.101277i \(0.0322930\pi\)
0.721247 + 0.692678i \(0.243569\pi\)
\(200\) −0.0202646 0.0298881i −0.00143293 0.00211341i
\(201\) −2.22227 + 0.748770i −0.156747 + 0.0528141i
\(202\) 1.09795 + 6.69718i 0.0772513 + 0.471212i
\(203\) −1.39204 + 8.49106i −0.0977019 + 0.595955i
\(204\) −2.20554 0.743132i −0.154418 0.0520297i
\(205\) 5.99022 + 21.5748i 0.418375 + 1.50685i
\(206\) −2.25433 5.65794i −0.157067 0.394207i
\(207\) −1.52299 3.82241i −0.105855 0.265676i
\(208\) 1.51764 + 5.46603i 0.105229 + 0.379001i
\(209\) 0.411596 + 0.138683i 0.0284707 + 0.00959288i
\(210\) 0.726954 4.43423i 0.0501646 0.305991i
\(211\) 0.490787 + 2.99367i 0.0337872 + 0.206093i 0.998325 0.0578512i \(-0.0184249\pi\)
−0.964538 + 0.263944i \(0.914977\pi\)
\(212\) 10.0167 3.37501i 0.687947 0.231796i
\(213\) 4.39605 + 6.48370i 0.301213 + 0.444255i
\(214\) −3.21040 1.48529i −0.219458 0.101532i
\(215\) 14.5328 + 11.0475i 0.991128 + 0.753436i
\(216\) 0.994138 0.108119i 0.0676425 0.00735657i
\(217\) 2.02586 7.29648i 0.137524 0.495317i
\(218\) −0.272099 + 0.401316i −0.0184289 + 0.0271805i
\(219\) −6.61357 + 3.97925i −0.446903 + 0.268893i
\(220\) 0.0627772 + 1.15786i 0.00423244 + 0.0780627i
\(221\) 9.58510 9.07949i 0.644764 0.610752i
\(222\) −7.75114 + 5.89226i −0.520222 + 0.395463i
\(223\) −16.2625 + 3.57966i −1.08902 + 0.239711i −0.722967 0.690883i \(-0.757222\pi\)
−0.366053 + 0.930594i \(0.619291\pi\)
\(224\) 1.29626 + 1.52608i 0.0866102 + 0.101965i
\(225\) 0.00195497 0.0360574i 0.000130332 0.00240382i
\(226\) −1.63612 3.08605i −0.108833 0.205281i
\(227\) −23.4007 5.15087i −1.55316 0.341875i −0.646222 0.763149i \(-0.723652\pi\)
−0.906933 + 0.421274i \(0.861583\pi\)
\(228\) 0.762885 0.352948i 0.0505233 0.0233746i
\(229\) 7.05442 + 4.24450i 0.466169 + 0.280485i 0.729197 0.684304i \(-0.239894\pi\)
−0.263028 + 0.964788i \(0.584721\pi\)
\(230\) 4.32519 8.15817i 0.285194 0.537934i
\(231\) −0.669788 + 0.788536i −0.0440688 + 0.0518819i
\(232\) −3.11979 2.95522i −0.204824 0.194020i
\(233\) −8.53137 0.927843i −0.558909 0.0607850i −0.175695 0.984445i \(-0.556217\pi\)
−0.383214 + 0.923660i \(0.625183\pi\)
\(234\) −2.09972 + 5.26990i −0.137263 + 0.344504i
\(235\) −22.4353 −1.46352
\(236\) −3.79271 + 6.67947i −0.246885 + 0.434797i
\(237\) −4.44773 −0.288911
\(238\) 1.72488 4.32912i 0.111807 0.280615i
\(239\) −8.28877 0.901458i −0.536156 0.0583105i −0.163964 0.986466i \(-0.552428\pi\)
−0.372192 + 0.928156i \(0.621394\pi\)
\(240\) 1.62923 + 1.54329i 0.105166 + 0.0996187i
\(241\) 13.2437 15.5916i 0.853099 1.00435i −0.146786 0.989168i \(-0.546893\pi\)
0.999885 0.0151770i \(-0.00483117\pi\)
\(242\) −5.02743 + 9.48275i −0.323176 + 0.609574i
\(243\) 0.856857 + 0.515554i 0.0549674 + 0.0330728i
\(244\) −0.251957 + 0.116568i −0.0161299 + 0.00746247i
\(245\) −6.55480 1.44282i −0.418771 0.0921784i
\(246\) −4.67359 8.81532i −0.297977 0.562044i
\(247\) −0.258157 + 4.76142i −0.0164261 + 0.302962i
\(248\) 2.44835 + 2.88242i 0.155470 + 0.183034i
\(249\) −0.0620397 + 0.0136560i −0.00393160 + 0.000865411i
\(250\) −8.86816 + 6.74140i −0.560872 + 0.426364i
\(251\) −1.19026 + 1.12748i −0.0751288 + 0.0711657i −0.724343 0.689440i \(-0.757857\pi\)
0.649214 + 0.760606i \(0.275098\pi\)
\(252\) 0.108402 + 1.99936i 0.00682871 + 0.125948i
\(253\) −1.82174 + 1.09610i −0.114532 + 0.0689114i
\(254\) 6.24613 9.21235i 0.391917 0.578034i
\(255\) 1.39728 5.03254i 0.0875009 0.315150i
\(256\) −0.994138 + 0.108119i −0.0621336 + 0.00675744i
\(257\) −18.3725 13.9664i −1.14604 0.871200i −0.152917 0.988239i \(-0.548867\pi\)
−0.993127 + 0.117039i \(0.962660\pi\)
\(258\) −7.38278 3.41564i −0.459632 0.212648i
\(259\) −10.9405 16.1361i −0.679812 1.00265i
\(260\) −12.0641 + 4.06487i −0.748183 + 0.252092i
\(261\) −0.695219 4.24065i −0.0430330 0.262490i
\(262\) 1.39411 8.50369i 0.0861284 0.525360i
\(263\) 15.8167 + 5.32927i 0.975300 + 0.328617i 0.761431 0.648245i \(-0.224497\pi\)
0.213869 + 0.976862i \(0.431393\pi\)
\(264\) −0.138234 0.497874i −0.00850771 0.0306420i
\(265\) 8.77981 + 22.0357i 0.539340 + 1.35364i
\(266\) 0.622974 + 1.56355i 0.0381970 + 0.0958672i
\(267\) −2.78729 10.0389i −0.170579 0.614371i
\(268\) 2.22227 + 0.748770i 0.135747 + 0.0457384i
\(269\) 4.03849 24.6337i 0.246231 1.50194i −0.517095 0.855928i \(-0.672986\pi\)
0.763326 0.646014i \(-0.223565\pi\)
\(270\) 0.363060 + 2.21456i 0.0220951 + 0.134774i
\(271\) −4.12390 + 1.38950i −0.250509 + 0.0844064i −0.441755 0.897136i \(-0.645644\pi\)
0.191246 + 0.981542i \(0.438747\pi\)
\(272\) 1.30609 + 1.92634i 0.0791933 + 0.116801i
\(273\) −10.3088 4.76938i −0.623919 0.288656i
\(274\) −2.93384 2.23024i −0.177240 0.134734i
\(275\) −0.0185491 + 0.00201734i −0.00111855 + 0.000121650i
\(276\) −1.10078 + 3.96467i −0.0662594 + 0.238645i
\(277\) −7.97736 + 11.7657i −0.479313 + 0.706934i −0.988075 0.153973i \(-0.950793\pi\)
0.508762 + 0.860907i \(0.330103\pi\)
\(278\) −18.7651 + 11.2906i −1.12546 + 0.677165i
\(279\) 0.204748 + 3.77635i 0.0122579 + 0.226084i
\(280\) −3.26220 + 3.09012i −0.194954 + 0.184670i
\(281\) −0.587773 + 0.446813i −0.0350636 + 0.0266547i −0.622559 0.782573i \(-0.713907\pi\)
0.587496 + 0.809227i \(0.300114\pi\)
\(282\) 9.76360 2.14913i 0.581414 0.127979i
\(283\) −20.7425 24.4200i −1.23301 1.45162i −0.849087 0.528253i \(-0.822847\pi\)
−0.383927 0.923363i \(-0.625429\pi\)
\(284\) 0.424097 7.82200i 0.0251655 0.464151i
\(285\) 0.883586 + 1.66662i 0.0523391 + 0.0987220i
\(286\) 2.86265 + 0.630117i 0.169272 + 0.0372596i
\(287\) 18.1317 8.38860i 1.07028 0.495163i
\(288\) −0.856857 0.515554i −0.0504908 0.0303793i
\(289\) −5.42574 + 10.2340i −0.319161 + 0.602002i
\(290\) 6.24314 7.34999i 0.366610 0.431606i
\(291\) −6.86649 6.50428i −0.402521 0.381288i
\(292\) 7.67315 + 0.834506i 0.449037 + 0.0488358i
\(293\) −9.17768 + 23.0342i −0.536166 + 1.34567i 0.372454 + 0.928051i \(0.378516\pi\)
−0.908620 + 0.417624i \(0.862863\pi\)
\(294\) 2.99079 0.174426
\(295\) −15.4284 7.68733i −0.898276 0.447574i
\(296\) 9.73647 0.565921
\(297\) 0.191253 0.480009i 0.0110976 0.0278530i
\(298\) −4.05339 0.440833i −0.234807 0.0255368i
\(299\) −16.9459 16.0520i −0.980005 0.928310i
\(300\) −0.0233773 + 0.0275219i −0.00134969 + 0.00158898i
\(301\) 7.62942 14.3906i 0.439752 0.829461i
\(302\) −1.08810 0.654688i −0.0626131 0.0376731i
\(303\) 6.15934 2.84961i 0.353845 0.163706i
\(304\) −0.820923 0.180699i −0.0470832 0.0103638i
\(305\) −0.291820 0.550431i −0.0167096 0.0315176i
\(306\) −0.126001 + 2.32395i −0.00720301 + 0.132852i
\(307\) 4.51439 + 5.31475i 0.257650 + 0.303329i 0.875744 0.482775i \(-0.160371\pi\)
−0.618095 + 0.786104i \(0.712095\pi\)
\(308\) 1.01042 0.222409i 0.0575738 0.0126729i
\(309\) −4.84861 + 3.68582i −0.275828 + 0.209679i
\(310\) −6.16157 + 5.83655i −0.349953 + 0.331494i
\(311\) 0.845364 + 15.5918i 0.0479362 + 0.884131i 0.919316 + 0.393521i \(0.128743\pi\)
−0.871379 + 0.490610i \(0.836774\pi\)
\(312\) 4.86078 2.92464i 0.275188 0.165575i
\(313\) 15.7099 23.1704i 0.887977 1.30967i −0.0622347 0.998062i \(-0.519823\pi\)
0.950211 0.311606i \(-0.100867\pi\)
\(314\) −2.32856 + 8.38671i −0.131408 + 0.473289i
\(315\) −4.46708 + 0.485824i −0.251691 + 0.0273731i
\(316\) 3.54081 + 2.69165i 0.199186 + 0.151417i
\(317\) −4.96885 2.29883i −0.279078 0.129115i 0.275357 0.961342i \(-0.411204\pi\)
−0.554436 + 0.832227i \(0.687066\pi\)
\(318\) −5.93173 8.74865i −0.332635 0.490600i
\(319\) −2.10419 + 0.708986i −0.117812 + 0.0396956i
\(320\) −0.363060 2.21456i −0.0202956 0.123798i
\(321\) −0.572277 + 3.49074i −0.0319414 + 0.194834i
\(322\) −7.80749 2.63065i −0.435094 0.146600i
\(323\) 0.523373 + 1.88502i 0.0291213 + 0.104885i
\(324\) −0.370138 0.928977i −0.0205632 0.0516098i
\(325\) −0.0758216 0.190298i −0.00420582 0.0105558i
\(326\) −3.13052 11.2751i −0.173383 0.624471i
\(327\) 0.459482 + 0.154817i 0.0254094 + 0.00856143i
\(328\) −1.61419 + 9.84615i −0.0891289 + 0.543663i
\(329\) 3.23850 + 19.7540i 0.178544 + 1.08907i
\(330\) 1.09886 0.370249i 0.0604902 0.0203815i
\(331\) −9.70640 14.3159i −0.533512 0.786871i 0.461446 0.887169i \(-0.347331\pi\)
−0.994958 + 0.100297i \(0.968021\pi\)
\(332\) 0.0576536 + 0.0266734i 0.00316415 + 0.00146389i
\(333\) 7.75114 + 5.89226i 0.424760 + 0.322894i
\(334\) −10.0968 + 1.09809i −0.552471 + 0.0600848i
\(335\) −1.40788 + 5.07071i −0.0769205 + 0.277043i
\(336\) 1.12367 1.65728i 0.0613010 0.0904122i
\(337\) −1.87726 + 1.12951i −0.102261 + 0.0615282i −0.565765 0.824566i \(-0.691419\pi\)
0.463505 + 0.886094i \(0.346592\pi\)
\(338\) 1.03842 + 19.1526i 0.0564827 + 1.04176i
\(339\) −2.53585 + 2.40209i −0.137729 + 0.130464i
\(340\) −4.15792 + 3.16077i −0.225495 + 0.171417i
\(341\) 1.90845 0.420081i 0.103348 0.0227487i
\(342\) −0.544177 0.640654i −0.0294257 0.0346426i
\(343\) −1.08303 + 19.9752i −0.0584779 + 1.07856i
\(344\) 3.81033 + 7.18704i 0.205439 + 0.387499i
\(345\) −9.01791 1.98499i −0.485508 0.106868i
\(346\) −9.59730 + 4.44019i −0.515954 + 0.238706i
\(347\) 8.21638 + 4.94363i 0.441078 + 0.265388i 0.718724 0.695296i \(-0.244727\pi\)
−0.277646 + 0.960684i \(0.589554\pi\)
\(348\) −2.01287 + 3.79668i −0.107901 + 0.203523i
\(349\) 9.57156 11.2685i 0.512354 0.603190i −0.443774 0.896139i \(-0.646361\pi\)
0.956128 + 0.292949i \(0.0946366\pi\)
\(350\) −0.0524922 0.0497232i −0.00280583 0.00265782i
\(351\) 5.63955 + 0.613338i 0.301017 + 0.0327376i
\(352\) −0.191253 + 0.480009i −0.0101938 + 0.0255846i
\(353\) −14.7918 −0.787290 −0.393645 0.919263i \(-0.628786\pi\)
−0.393645 + 0.919263i \(0.628786\pi\)
\(354\) 7.45066 + 1.86752i 0.395998 + 0.0992576i
\(355\) 17.5794 0.933016
\(356\) −3.85635 + 9.67870i −0.204386 + 0.512970i
\(357\) −4.63277 0.503844i −0.245192 0.0266663i
\(358\) −3.80034 3.59987i −0.200854 0.190259i
\(359\) 13.4654 15.8527i 0.710677 0.836673i −0.281753 0.959487i \(-0.590916\pi\)
0.992430 + 0.122814i \(0.0391917\pi\)
\(360\) 1.05117 1.98271i 0.0554014 0.104498i
\(361\) 15.6749 + 9.43125i 0.824993 + 0.496382i
\(362\) 17.0893 7.90633i 0.898191 0.415548i
\(363\) 10.4821 + 2.30728i 0.550167 + 0.121101i
\(364\) 5.32049 + 10.0355i 0.278870 + 0.526004i
\(365\) −0.937744 + 17.2957i −0.0490838 + 0.905297i
\(366\) 0.179724 + 0.211588i 0.00939434 + 0.0110599i
\(367\) −11.4283 + 2.51557i −0.596554 + 0.131311i −0.502976 0.864301i \(-0.667762\pi\)
−0.0935781 + 0.995612i \(0.529830\pi\)
\(368\) 3.27564 2.49008i 0.170755 0.129804i
\(369\) −7.24368 + 6.86158i −0.377091 + 0.357200i
\(370\) 1.18293 + 21.8179i 0.0614976 + 1.13426i
\(371\) 18.1347 10.9113i 0.941509 0.566487i
\(372\) 2.12235 3.13023i 0.110039 0.162295i
\(373\) 7.69539 27.7163i 0.398452 1.43509i −0.443856 0.896098i \(-0.646390\pi\)
0.842308 0.538996i \(-0.181196\pi\)
\(374\) 1.19552 0.130021i 0.0618188 0.00672320i
\(375\) 8.86816 + 6.74140i 0.457950 + 0.348124i
\(376\) −9.07333 4.19777i −0.467921 0.216483i
\(377\) −13.6803 20.1770i −0.704573 1.03917i
\(378\) 1.89749 0.639338i 0.0975962 0.0328840i
\(379\) −3.70862 22.6216i −0.190499 1.16199i −0.892914 0.450226i \(-0.851343\pi\)
0.702415 0.711767i \(-0.252105\pi\)
\(380\) 0.305179 1.86151i 0.0156553 0.0954934i
\(381\) −10.5476 3.55389i −0.540369 0.182071i
\(382\) 5.06387 + 18.2384i 0.259090 + 0.933159i
\(383\) 2.18624 + 5.48704i 0.111712 + 0.280375i 0.974194 0.225712i \(-0.0724708\pi\)
−0.862483 + 0.506087i \(0.831092\pi\)
\(384\) 0.370138 + 0.928977i 0.0188885 + 0.0474066i
\(385\) 0.621143 + 2.23715i 0.0316564 + 0.114016i
\(386\) −14.6965 4.95181i −0.748030 0.252041i
\(387\) −1.31604 + 8.02746i −0.0668978 + 0.408059i
\(388\) 1.53014 + 9.33344i 0.0776811 + 0.473834i
\(389\) −7.35523 + 2.47826i −0.372925 + 0.125653i −0.499522 0.866301i \(-0.666491\pi\)
0.126597 + 0.991954i \(0.459594\pi\)
\(390\) 7.14419 + 10.5369i 0.361760 + 0.533556i
\(391\) −8.69121 4.02098i −0.439533 0.203350i
\(392\) −2.38095 1.80995i −0.120256 0.0914163i
\(393\) −8.56669 + 0.931684i −0.432133 + 0.0469972i
\(394\) −4.07642 + 14.6819i −0.205367 + 0.739665i
\(395\) −5.60136 + 8.26139i −0.281835 + 0.415676i
\(396\) −0.442745 + 0.266391i −0.0222488 + 0.0133866i
\(397\) −2.03434 37.5211i −0.102100 1.88313i −0.383500 0.923541i \(-0.625282\pi\)
0.281400 0.959591i \(-0.409201\pi\)
\(398\) −19.3652 + 18.3437i −0.970689 + 0.919486i
\(399\) 1.33989 1.01856i 0.0670785 0.0509917i
\(400\) 0.0352661 0.00776265i 0.00176330 0.000388133i
\(401\) −9.39688 11.0629i −0.469258 0.552453i 0.475716 0.879599i \(-0.342189\pi\)
−0.944974 + 0.327146i \(0.893913\pi\)
\(402\) 0.126957 2.34158i 0.00633204 0.116788i
\(403\) 10.0492 + 18.9548i 0.500587 + 0.944207i
\(404\) −6.62792 1.45891i −0.329751 0.0725837i
\(405\) 2.03672 0.942285i 0.101205 0.0468225i
\(406\) −7.37275 4.43604i −0.365903 0.220157i
\(407\) 2.35652 4.44487i 0.116808 0.220324i
\(408\) 1.50671 1.77383i 0.0745931 0.0878177i
\(409\) 23.0439 + 21.8283i 1.13945 + 1.07934i 0.995970 + 0.0896872i \(0.0285867\pi\)
0.143476 + 0.989654i \(0.454172\pi\)
\(410\) −22.2597 2.42089i −1.09933 0.119559i
\(411\) −1.36407 + 3.42355i −0.0672845 + 0.168871i
\(412\) 6.09051 0.300058
\(413\) −4.54152 + 14.6941i −0.223474 + 0.723052i
\(414\) 4.11465 0.202224
\(415\) −0.0527661 + 0.132433i −0.00259019 + 0.00650088i
\(416\) −5.63955 0.613338i −0.276502 0.0300714i
\(417\) 15.8992 + 15.0606i 0.778590 + 0.737519i
\(418\) −0.281180 + 0.331031i −0.0137530 + 0.0161913i
\(419\) 12.8569 24.2506i 0.628099 1.18472i −0.341467 0.939894i \(-0.610924\pi\)
0.969567 0.244828i \(-0.0787314\pi\)
\(420\) 3.85022 + 2.31660i 0.187871 + 0.113038i
\(421\) −22.1406 + 10.2433i −1.07907 + 0.499230i −0.877172 0.480177i \(-0.840572\pi\)
−0.201896 + 0.979407i \(0.564710\pi\)
\(422\) −2.96271 0.652141i −0.144222 0.0317457i
\(423\) −4.68283 8.83276i −0.227687 0.429464i
\(424\) −0.572247 + 10.5545i −0.0277908 + 0.512570i
\(425\) −0.0544076 0.0640536i −0.00263916 0.00310706i
\(426\) −7.65035 + 1.68397i −0.370661 + 0.0815886i
\(427\) −0.442523 + 0.336398i −0.0214152 + 0.0162794i
\(428\) 2.56809 2.43262i 0.124133 0.117585i
\(429\) −0.158691 2.92688i −0.00766167 0.141311i
\(430\) −15.6420 + 9.41150i −0.754326 + 0.453863i
\(431\) 18.5080 27.2972i 0.891498 1.31486i −0.0570976 0.998369i \(-0.518185\pi\)
0.948595 0.316492i \(-0.102505\pi\)
\(432\) −0.267528 + 0.963550i −0.0128715 + 0.0463588i
\(433\) 3.91924 0.426243i 0.188346 0.0204839i −0.0134596 0.999909i \(-0.504284\pi\)
0.201806 + 0.979426i \(0.435319\pi\)
\(434\) 6.02841 + 4.58268i 0.289373 + 0.219976i
\(435\) −8.75230 4.04924i −0.419640 0.194146i
\(436\) −0.272099 0.401316i −0.0130312 0.0192195i
\(437\) 3.27762 1.10436i 0.156790 0.0528286i
\(438\) −1.24870 7.61672i −0.0596651 0.363941i
\(439\) 5.22285 31.8580i 0.249273 1.52050i −0.504528 0.863396i \(-0.668333\pi\)
0.753801 0.657103i \(-0.228218\pi\)
\(440\) −1.09886 0.370249i −0.0523860 0.0176509i
\(441\) −0.800121 2.88178i −0.0381010 0.137227i
\(442\) 4.88682 + 12.2650i 0.232442 + 0.583386i
\(443\) 0.688647 + 1.72837i 0.0327186 + 0.0821176i 0.944428 0.328718i \(-0.106616\pi\)
−0.911710 + 0.410835i \(0.865237\pi\)
\(444\) −2.60478 9.38158i −0.123618 0.445230i
\(445\) −22.1569 7.46553i −1.05034 0.353900i
\(446\) 2.69397 16.4325i 0.127563 0.778101i
\(447\) 0.659632 + 4.02358i 0.0311995 + 0.190309i
\(448\) −1.89749 + 0.639338i −0.0896478 + 0.0302059i
\(449\) −6.76942 9.98414i −0.319469 0.471181i 0.633718 0.773564i \(-0.281528\pi\)
−0.953186 + 0.302383i \(0.902218\pi\)
\(450\) 0.0327728 + 0.0151623i 0.00154493 + 0.000714759i
\(451\) 4.10425 + 3.11997i 0.193262 + 0.146914i
\(452\) 3.47246 0.377653i 0.163331 0.0177633i
\(453\) −0.339727 + 1.22359i −0.0159618 + 0.0574891i
\(454\) 13.4465 19.8321i 0.631076 0.930768i
\(455\) −21.8415 + 13.1416i −1.02395 + 0.616088i
\(456\) 0.0455078 + 0.839342i 0.00213110 + 0.0393058i
\(457\) −30.4375 + 28.8319i −1.42381 + 1.34870i −0.577062 + 0.816700i \(0.695801\pi\)
−0.846744 + 0.532000i \(0.821441\pi\)
\(458\) −6.55415 + 4.98234i −0.306255 + 0.232809i
\(459\) 2.27296 0.500315i 0.106092 0.0233527i
\(460\) 5.97783 + 7.03765i 0.278718 + 0.328132i
\(461\) −1.60017 + 29.5135i −0.0745275 + 1.37458i 0.687100 + 0.726563i \(0.258884\pi\)
−0.761627 + 0.648016i \(0.775599\pi\)
\(462\) −0.484617 0.914085i −0.0225464 0.0425271i
\(463\) 22.7638 + 5.01070i 1.05793 + 0.232867i 0.709671 0.704533i \(-0.248844\pi\)
0.348254 + 0.937400i \(0.386775\pi\)
\(464\) 3.90009 1.80437i 0.181057 0.0837659i
\(465\) 7.27220 + 4.37554i 0.337240 + 0.202911i
\(466\) 4.01973 7.58202i 0.186210 0.351230i
\(467\) 15.3639 18.0878i 0.710958 0.837004i −0.281504 0.959560i \(-0.590833\pi\)
0.992462 + 0.122556i \(0.0391091\pi\)
\(468\) −4.11843 3.90118i −0.190374 0.180332i
\(469\) 4.66792 + 0.507667i 0.215544 + 0.0234419i
\(470\) 8.30415 20.8419i 0.383042 0.961363i
\(471\) 8.70397 0.401058
\(472\) −4.80125 5.99567i −0.220995 0.275973i
\(473\) 4.20322 0.193264
\(474\) 1.64627 4.13184i 0.0756159 0.189782i
\(475\) 0.0301755 + 0.00328178i 0.00138455 + 0.000150579i
\(476\) 3.38320 + 3.20474i 0.155069 + 0.146889i
\(477\) −6.84285 + 8.05603i −0.313313 + 0.368860i
\(478\) 3.90543 7.36641i 0.178630 0.336932i
\(479\) 18.0353 + 10.8515i 0.824052 + 0.495816i 0.864063 0.503383i \(-0.167912\pi\)
−0.0400108 + 0.999199i \(0.512739\pi\)
\(480\) −2.03672 + 0.942285i −0.0929629 + 0.0430092i
\(481\) 53.9418 + 11.8735i 2.45953 + 0.541384i
\(482\) 9.58228 + 18.0741i 0.436461 + 0.823253i
\(483\) −0.446037 + 8.22668i −0.0202954 + 0.374327i
\(484\) −6.94841 8.18030i −0.315837 0.371832i
\(485\) −20.7288 + 4.56276i −0.941247 + 0.207184i
\(486\) −0.796093 + 0.605174i −0.0361115 + 0.0274513i
\(487\) 22.5483 21.3589i 1.02176 0.967864i 0.0222701 0.999752i \(-0.492911\pi\)
0.999491 + 0.0318881i \(0.0101520\pi\)
\(488\) −0.0150298 0.277208i −0.000680366 0.0125486i
\(489\) −10.0266 + 6.03282i −0.453420 + 0.272814i
\(490\) 3.76653 5.55521i 0.170154 0.250959i
\(491\) −0.205728 + 0.740965i −0.00928437 + 0.0334393i −0.968047 0.250768i \(-0.919317\pi\)
0.958763 + 0.284208i \(0.0917305\pi\)
\(492\) 9.91910 1.07877i 0.447187 0.0486346i
\(493\) −7.96197 6.05253i −0.358589 0.272592i
\(494\) −4.32770 2.00221i −0.194712 0.0900835i
\(495\) −0.650729 0.959753i −0.0292481 0.0431377i
\(496\) −3.58393 + 1.20757i −0.160923 + 0.0542213i
\(497\) −2.53755 15.4784i −0.113825 0.694300i
\(498\) 0.0102772 0.0626880i 0.000460531 0.00280912i
\(499\) −29.2020 9.83931i −1.30726 0.440468i −0.422437 0.906392i \(-0.638825\pi\)
−0.884825 + 0.465924i \(0.845722\pi\)
\(500\) −2.98016 10.7336i −0.133277 0.480020i
\(501\) 3.75924 + 9.43497i 0.167950 + 0.421524i
\(502\) −0.606838 1.52305i −0.0270845 0.0679770i
\(503\) 11.5052 + 41.4381i 0.512993 + 1.84763i 0.530343 + 0.847783i \(0.322063\pi\)
−0.0173507 + 0.999849i \(0.505523\pi\)
\(504\) −1.89749 0.639338i −0.0845208 0.0284784i
\(505\) 2.46393 15.0293i 0.109644 0.668796i
\(506\) −0.343960 2.09806i −0.0152909 0.0932702i
\(507\) 18.1766 6.12442i 0.807253 0.271995i
\(508\) 6.24613 + 9.21235i 0.277127 + 0.408732i
\(509\) −38.0656 17.6110i −1.68723 0.780595i −0.998452 0.0556205i \(-0.982286\pi\)
−0.688776 0.724974i \(-0.741852\pi\)
\(510\) 4.15792 + 3.16077i 0.184116 + 0.139961i
\(511\) 15.3640 1.67093i 0.679662 0.0739177i
\(512\) 0.267528 0.963550i 0.0118232 0.0425833i
\(513\) −0.471720 + 0.695735i −0.0208269 + 0.0307174i
\(514\) 19.7748 11.8981i 0.872230 0.524803i
\(515\) 0.739964 + 13.6478i 0.0326067 + 0.601395i
\(516\) 5.90570 5.59418i 0.259984 0.246270i
\(517\) −4.11237 + 3.12615i −0.180862 + 0.137488i
\(518\) 19.0396 4.19092i 0.836550 0.184139i
\(519\) 6.84589 + 8.05961i 0.300501 + 0.353777i
\(520\) 0.689215 12.7118i 0.0302241 0.557450i
\(521\) −12.2474 23.1011i −0.536569 1.01208i −0.992521 0.122072i \(-0.961046\pi\)
0.455953 0.890004i \(-0.349299\pi\)
\(522\) 4.19679 + 0.923784i 0.183689 + 0.0404329i
\(523\) 33.8825 15.6757i 1.48158 0.685452i 0.498209 0.867057i \(-0.333991\pi\)
0.983372 + 0.181605i \(0.0581293\pi\)
\(524\) 7.38372 + 4.44264i 0.322559 + 0.194077i
\(525\) −0.0338677 + 0.0638812i −0.00147811 + 0.00278800i
\(526\) −10.8051 + 12.7208i −0.471126 + 0.554653i
\(527\) 6.39011 + 6.05304i 0.278358 + 0.263674i
\(528\) 0.513679 + 0.0558659i 0.0223550 + 0.00243125i
\(529\) 2.24662 5.63860i 0.0976793 0.245157i
\(530\) −23.7204 −1.03035
\(531\) −0.193814 7.67870i −0.00841082 0.333227i
\(532\) −1.68308 −0.0729710
\(533\) −20.9501 + 52.5809i −0.907452 + 2.27753i
\(534\) 10.3576 + 1.12646i 0.448217 + 0.0487465i
\(535\) 5.76312 + 5.45912i 0.249162 + 0.236018i
\(536\) −1.51814 + 1.78729i −0.0655735 + 0.0771991i
\(537\) −2.45196 + 4.62489i −0.105810 + 0.199579i
\(538\) 21.3893 + 12.8695i 0.922159 + 0.554845i
\(539\) −1.40253 + 0.648882i −0.0604114 + 0.0279493i
\(540\) −2.19166 0.482421i −0.0943141 0.0207601i
\(541\) −11.4694 21.6336i −0.493108 0.930100i −0.997768 0.0667820i \(-0.978727\pi\)
0.504660 0.863318i \(-0.331618\pi\)
\(542\) 0.235596 4.34532i 0.0101197 0.186647i
\(543\) −12.1900 14.3512i −0.523123 0.615868i
\(544\) −2.27296 + 0.500315i −0.0974521 + 0.0214508i
\(545\) 0.866224 0.658487i 0.0371050 0.0282065i
\(546\) 8.24633 7.81134i 0.352911 0.334295i
\(547\) 0.726476 + 13.3991i 0.0310619 + 0.572902i 0.972095 + 0.234588i \(0.0753740\pi\)
−0.941033 + 0.338315i \(0.890143\pi\)
\(548\) 3.15777 1.89997i 0.134893 0.0811626i
\(549\) 0.155794 0.229779i 0.00664913 0.00980673i
\(550\) 0.00499167 0.0179784i 0.000212846 0.000766600i
\(551\) 3.59099 0.390544i 0.152982 0.0166377i
\(552\) −3.27564 2.49008i −0.139421 0.105985i
\(553\) 8.08259 + 3.73940i 0.343707 + 0.159016i
\(554\) −7.97736 11.7657i −0.338926 0.499878i
\(555\) 20.7061 6.97670i 0.878926 0.296145i
\(556\) −3.54301 21.6114i −0.150257 0.916529i
\(557\) −1.86987 + 11.4057i −0.0792290 + 0.483276i 0.917171 + 0.398495i \(0.130467\pi\)
−0.996400 + 0.0847808i \(0.972981\pi\)
\(558\) −3.58393 1.20757i −0.151720 0.0511203i
\(559\) 12.3454 + 44.4641i 0.522154 + 1.88063i
\(560\) −1.66319 4.17428i −0.0702824 0.176396i
\(561\) −0.445116 1.11716i −0.0187928 0.0471665i
\(562\) −0.197522 0.711410i −0.00833197 0.0300090i
\(563\) 30.0754 + 10.1336i 1.26753 + 0.427079i 0.871153 0.491011i \(-0.163373\pi\)
0.396372 + 0.918090i \(0.370269\pi\)
\(564\) −1.61739 + 9.86563i −0.0681043 + 0.415418i
\(565\) 1.26814 + 7.73533i 0.0533512 + 0.325428i
\(566\) 30.3632 10.2305i 1.27626 0.430022i
\(567\) −1.12367 1.65728i −0.0471895 0.0695993i
\(568\) 7.10949 + 3.28920i 0.298307 + 0.138012i
\(569\) −26.2932 19.9876i −1.10227 0.837923i −0.114435 0.993431i \(-0.536506\pi\)
−0.987835 + 0.155507i \(0.950299\pi\)
\(570\) −1.87530 + 0.203951i −0.0785477 + 0.00854257i
\(571\) 3.33191 12.0004i 0.139436 0.502203i −0.860538 0.509386i \(-0.829873\pi\)
0.999974 + 0.00718278i \(0.00228637\pi\)
\(572\) −1.64494 + 2.42611i −0.0687784 + 0.101441i
\(573\) 16.2189 9.75859i 0.677554 0.407671i
\(574\) 1.08159 + 19.9488i 0.0451449 + 0.832648i
\(575\) −0.107869 + 0.102179i −0.00449846 + 0.00426117i
\(576\) 0.796093 0.605174i 0.0331705 0.0252156i
\(577\) 10.5720 2.32707i 0.440118 0.0968773i 0.0106168 0.999944i \(-0.496620\pi\)
0.429501 + 0.903066i \(0.358689\pi\)
\(578\) −7.49891 8.82840i −0.311913 0.367213i
\(579\) −0.839600 + 15.4855i −0.0348926 + 0.643556i
\(580\) 4.51714 + 8.52024i 0.187564 + 0.353784i
\(581\) 0.124222 + 0.0273433i 0.00515360 + 0.00113439i
\(582\) 8.58388 3.97132i 0.355813 0.164617i
\(583\) 4.67980 + 2.81574i 0.193817 + 0.116616i
\(584\) −3.61536 + 6.81930i −0.149605 + 0.282185i
\(585\) 8.24155 9.70270i 0.340746 0.401157i
\(586\) −18.0013 17.0517i −0.743625 0.704399i
\(587\) −23.2485 2.52843i −0.959570 0.104359i −0.385091 0.922879i \(-0.625830\pi\)
−0.574479 + 0.818519i \(0.694795\pi\)
\(588\) −1.10701 + 2.77838i −0.0456521 + 0.114578i
\(589\) −3.17897 −0.130987
\(590\) 12.8520 11.4872i 0.529108 0.472923i
\(591\) 15.2373 0.626780
\(592\) −3.60384 + 9.04496i −0.148117 + 0.371745i
\(593\) −9.31101 1.01263i −0.382357 0.0415839i −0.0850777 0.996374i \(-0.527114\pi\)
−0.297280 + 0.954790i \(0.596079\pi\)
\(594\) 0.375127 + 0.355339i 0.0153917 + 0.0145798i
\(595\) −6.77026 + 7.97057i −0.277554 + 0.326761i
\(596\) 1.90984 3.60234i 0.0782300 0.147557i
\(597\) 22.8558 + 13.7519i 0.935425 + 0.562827i
\(598\) 21.1842 9.80087i 0.866288 0.400787i
\(599\) −16.9059 3.72127i −0.690756 0.152047i −0.144299 0.989534i \(-0.546093\pi\)
−0.546457 + 0.837487i \(0.684024\pi\)
\(600\) −0.0169144 0.0319039i −0.000690527 0.00130247i
\(601\) 1.23416 22.7628i 0.0503426 0.928515i −0.858873 0.512189i \(-0.828835\pi\)
0.909215 0.416326i \(-0.136683\pi\)
\(602\) 10.5446 + 12.4141i 0.429766 + 0.505960i
\(603\) −2.29020 + 0.504111i −0.0932641 + 0.0205290i
\(604\) 1.01094 0.768495i 0.0411345 0.0312696i
\(605\) 17.4865 16.5641i 0.710928 0.673427i
\(606\) 0.367418 + 6.77663i 0.0149253 + 0.275282i
\(607\) 38.0100 22.8699i 1.54278 0.928259i 0.546935 0.837175i \(-0.315794\pi\)
0.995843 0.0910843i \(-0.0290333\pi\)
\(608\) 0.471720 0.695735i 0.0191308 0.0282158i
\(609\) −2.30192 + 8.29078i −0.0932786 + 0.335959i
\(610\) 0.619352 0.0673586i 0.0250768 0.00272727i
\(611\) −45.1487 34.3212i −1.82652 1.38849i
\(612\) −2.11226 0.977236i −0.0853831 0.0395024i
\(613\) −6.95346 10.2556i −0.280848 0.414219i 0.660934 0.750444i \(-0.270160\pi\)
−0.941782 + 0.336225i \(0.890850\pi\)
\(614\) −6.60822 + 2.22657i −0.266686 + 0.0898570i
\(615\) 3.62246 + 22.0960i 0.146072 + 0.890997i
\(616\) −0.167380 + 1.02097i −0.00674394 + 0.0411362i
\(617\) 14.9148 + 5.02537i 0.600446 + 0.202314i 0.603077 0.797683i \(-0.293941\pi\)
−0.00263116 + 0.999997i \(0.500838\pi\)
\(618\) −1.62938 5.86851i −0.0655434 0.236066i
\(619\) −14.7838 37.1045i −0.594210 1.49135i −0.851147 0.524927i \(-0.824093\pi\)
0.256937 0.966428i \(-0.417287\pi\)
\(620\) −3.14138 7.88428i −0.126161 0.316640i
\(621\) −1.10078 3.96467i −0.0441730 0.159097i
\(622\) −14.7973 4.98580i −0.593319 0.199913i
\(623\) −3.37498 + 20.5865i −0.135216 + 0.824781i
\(624\) 0.917757 + 5.59807i 0.0367397 + 0.224102i
\(625\) 23.8612 8.03977i 0.954448 0.321591i
\(626\) 15.7099 + 23.1704i 0.627894 + 0.926075i
\(627\) 0.394189 + 0.182371i 0.0157424 + 0.00728320i
\(628\) −6.92917 5.26742i −0.276504 0.210193i
\(629\) 22.5275 2.45002i 0.898231 0.0976885i
\(630\) 1.20212 4.32963i 0.0478935 0.172497i
\(631\) 13.6956 20.1994i 0.545211 0.804126i −0.450868 0.892591i \(-0.648886\pi\)
0.996079 + 0.0884641i \(0.0281959\pi\)
\(632\) −3.81107 + 2.29304i −0.151596 + 0.0912124i
\(633\) 0.164238 + 3.02918i 0.00652786 + 0.120399i
\(634\) 3.97473 3.76506i 0.157856 0.149530i
\(635\) −19.8845 + 15.1158i −0.789093 + 0.599853i
\(636\) 10.3228 2.27223i 0.409328 0.0900998i
\(637\) −10.9837 12.9310i −0.435189 0.512344i
\(638\) 0.120211 2.21717i 0.00475922 0.0877786i
\(639\) 3.66927 + 6.92098i 0.145154 + 0.273790i
\(640\) 2.19166 + 0.482421i 0.0866330 + 0.0190694i
\(641\) −42.4464 + 19.6378i −1.67653 + 0.775647i −0.677332 + 0.735678i \(0.736864\pi\)
−0.999201 + 0.0399690i \(0.987274\pi\)
\(642\) −3.03099 1.82369i −0.119624 0.0719752i
\(643\) −12.1110 + 22.8438i −0.477612 + 0.900872i 0.521260 + 0.853398i \(0.325462\pi\)
−0.998872 + 0.0474742i \(0.984883\pi\)
\(644\) 5.33366 6.27927i 0.210176 0.247438i
\(645\) 13.2531 + 12.5540i 0.521842 + 0.494315i
\(646\) −1.94486 0.211516i −0.0765195 0.00832199i
\(647\) −11.5582 + 29.0090i −0.454401 + 1.14046i 0.506171 + 0.862433i \(0.331060\pi\)
−0.960573 + 0.278029i \(0.910319\pi\)
\(648\) 1.00000 0.0392837
\(649\) −3.89917 + 0.740719i −0.153056 + 0.0290758i
\(650\) 0.204847 0.00803475
\(651\) 2.80287 7.03467i 0.109853 0.275710i
\(652\) 11.6330 + 1.26517i 0.455585 + 0.0495478i
\(653\) −20.7757 19.6798i −0.813017 0.770131i 0.163277 0.986580i \(-0.447794\pi\)
−0.976294 + 0.216450i \(0.930552\pi\)
\(654\) −0.313894 + 0.369544i −0.0122742 + 0.0144503i
\(655\) −9.05814 + 17.0855i −0.353931 + 0.667584i
\(656\) −8.54937 5.14398i −0.333797 0.200839i
\(657\) −7.00503 + 3.24087i −0.273292 + 0.126438i
\(658\) −19.5497 4.30321i −0.762125 0.167756i
\(659\) −5.40011 10.1857i −0.210358 0.396778i 0.755771 0.654836i \(-0.227262\pi\)
−0.966129 + 0.258058i \(0.916917\pi\)
\(660\) −0.0627772 + 1.15786i −0.00244360 + 0.0450695i
\(661\) 17.1612 + 20.2037i 0.667494 + 0.785834i 0.986822 0.161810i \(-0.0517332\pi\)
−0.319328 + 0.947644i \(0.603457\pi\)
\(662\) 16.8918 3.71817i 0.656519 0.144511i
\(663\) 10.5106 7.98993i 0.408197 0.310303i
\(664\) −0.0461187 + 0.0436860i −0.00178975 + 0.00169535i
\(665\) −0.204486 3.77152i −0.00792962 0.146253i
\(666\) −8.34277 + 5.01968i −0.323276 + 0.194509i
\(667\) −9.92274 + 14.6349i −0.384210 + 0.566668i
\(668\) 2.71710 9.78611i 0.105128 0.378636i
\(669\) −16.5542 + 1.80038i −0.640024 + 0.0696068i
\(670\) −4.18947 3.18475i −0.161853 0.123038i
\(671\) −0.130188 0.0602313i −0.00502585 0.00232521i
\(672\) 1.12367 + 1.65728i 0.0433463 + 0.0639311i
\(673\) −36.9044 + 12.4345i −1.42256 + 0.479316i −0.922272 0.386542i \(-0.873669\pi\)
−0.500289 + 0.865859i \(0.666773\pi\)
\(674\) −0.354442 2.16200i −0.0136526 0.0832772i
\(675\) 0.00584200 0.0356346i 0.000224859 0.00137158i
\(676\) −18.1766 6.12442i −0.699102 0.235555i
\(677\) 10.7585 + 38.7487i 0.413483 + 1.48923i 0.818277 + 0.574824i \(0.194930\pi\)
−0.404794 + 0.914408i \(0.632657\pi\)
\(678\) −1.29287 3.24485i −0.0496523 0.124618i
\(679\) 7.00961 + 17.5928i 0.269004 + 0.675150i
\(680\) −1.39728 5.03254i −0.0535831 0.192989i
\(681\) −22.7066 7.65073i −0.870118 0.293177i
\(682\) −0.316144 + 1.92839i −0.0121058 + 0.0738419i
\(683\) −3.89511 23.7591i −0.149042 0.909117i −0.950422 0.310962i \(-0.899349\pi\)
0.801380 0.598155i \(-0.204099\pi\)
\(684\) 0.796574 0.268397i 0.0304578 0.0102624i
\(685\) 4.64117 + 6.84521i 0.177330 + 0.261542i
\(686\) −18.1557 8.39970i −0.693186 0.320702i
\(687\) 6.55415 + 4.98234i 0.250056 + 0.190088i
\(688\) −8.08694 + 0.879507i −0.308312 + 0.0335309i
\(689\) −16.0414 + 57.7758i −0.611127 + 2.20108i
\(690\) 5.18188 7.64271i 0.197271 0.290953i
\(691\) −11.2362 + 6.76059i −0.427445 + 0.257185i −0.712982 0.701183i \(-0.752656\pi\)
0.285537 + 0.958368i \(0.407828\pi\)
\(692\) −0.572501 10.5592i −0.0217632 0.401399i
\(693\) −0.751118 + 0.711497i −0.0285326 + 0.0270275i
\(694\) −7.63371 + 5.80300i −0.289772 + 0.220279i
\(695\) 47.9972 10.5650i 1.82064 0.400753i
\(696\) −2.78199 3.27521i −0.105451 0.124146i
\(697\) −1.25719 + 23.1875i −0.0476194 + 0.878288i
\(698\) 6.92539 + 13.0627i 0.262130 + 0.494429i
\(699\) −8.38105 1.84481i −0.317000 0.0697770i
\(700\) 0.0656211 0.0303595i 0.00248024 0.00114748i
\(701\) 14.2517 + 8.57495i 0.538279 + 0.323871i 0.758601 0.651556i \(-0.225883\pi\)
−0.220322 + 0.975427i \(0.570711\pi\)
\(702\) −2.65719 + 5.01199i −0.100289 + 0.189165i
\(703\) −5.29836 + 6.23772i −0.199832 + 0.235260i
\(704\) −0.375127 0.355339i −0.0141381 0.0133924i
\(705\) −22.3038 2.42568i −0.840009 0.0913564i
\(706\) 5.47502 13.7413i 0.206055 0.517160i
\(707\) −13.5888 −0.511059
\(708\) −4.49266 + 6.23025i −0.168844 + 0.234147i
\(709\) −25.7101 −0.965563 −0.482781 0.875741i \(-0.660373\pi\)
−0.482781 + 0.875741i \(0.660373\pi\)
\(710\) −6.50679 + 16.3308i −0.244196 + 0.612885i
\(711\) −4.42166 0.480884i −0.165825 0.0180346i
\(712\) −7.56391 7.16491i −0.283469 0.268516i
\(713\) 10.0741 11.8601i 0.377277 0.444165i
\(714\) 2.18283 4.11725i 0.0816902 0.154084i
\(715\) −5.63636 3.39128i −0.210788 0.126827i
\(716\) 4.75085 2.19798i 0.177548 0.0821423i
\(717\) −8.14272 1.79235i −0.304095 0.0669365i
\(718\) 9.74273 + 18.3767i 0.363595 + 0.685814i
\(719\) 2.07418 38.2560i 0.0773538 1.42671i −0.660033 0.751237i \(-0.729458\pi\)
0.737387 0.675471i \(-0.236060\pi\)
\(720\) 1.45282 + 1.71039i 0.0541433 + 0.0637424i
\(721\) 11.9099 2.62157i 0.443548 0.0976324i
\(722\) −14.5633 + 11.0707i −0.541989 + 0.412009i
\(723\) 14.8518 14.0683i 0.552343 0.523207i
\(724\) 1.01941 + 18.8020i 0.0378862 + 0.698769i
\(725\) −0.132963 + 0.0800013i −0.00493813 + 0.00297117i
\(726\) −6.02323 + 8.88360i −0.223543 + 0.329701i
\(727\) −7.00736 + 25.2382i −0.259889 + 0.936034i 0.712308 + 0.701867i \(0.247650\pi\)
−0.972196 + 0.234167i \(0.924764\pi\)
\(728\) −11.2921 + 1.22809i −0.418512 + 0.0455159i
\(729\) 0.796093 + 0.605174i 0.0294849 + 0.0224139i
\(730\) −15.7202 7.27293i −0.581830 0.269183i
\(731\) 10.6245 + 15.6700i 0.392963 + 0.579577i
\(732\) −0.263083 + 0.0886429i −0.00972382 + 0.00327634i
\(733\) −2.29929 14.0250i −0.0849262 0.518027i −0.994691 0.102904i \(-0.967187\pi\)
0.909765 0.415123i \(-0.136262\pi\)
\(734\) 1.89316 11.5478i 0.0698778 0.426236i
\(735\) −6.36038 2.14306i −0.234606 0.0790480i
\(736\) 1.10078 + 3.96467i 0.0405754 + 0.146140i
\(737\) 0.448493 + 1.12563i 0.0165205 + 0.0414632i
\(738\) −3.69309 9.26895i −0.135944 0.341195i
\(739\) 6.60795 + 23.7997i 0.243077 + 0.875485i 0.979915 + 0.199416i \(0.0639044\pi\)
−0.736838 + 0.676070i \(0.763682\pi\)
\(740\) −20.7061 6.97670i −0.761172 0.256469i
\(741\) −0.771444 + 4.70560i −0.0283397 + 0.172865i
\(742\) 3.42400 + 20.8855i 0.125699 + 0.766729i
\(743\) 23.3098 7.85399i 0.855155 0.288135i 0.142625 0.989777i \(-0.454446\pi\)
0.712530 + 0.701642i \(0.247549\pi\)
\(744\) 2.12235 + 3.13023i 0.0778092 + 0.114760i
\(745\) 8.30428 + 3.84197i 0.304245 + 0.140759i
\(746\) 22.8994 + 17.4077i 0.838407 + 0.637341i
\(747\) −0.0631524 + 0.00686824i −0.00231063 + 0.000251296i
\(748\) −0.321721 + 1.15873i −0.0117633 + 0.0423675i
\(749\) 3.97478 5.86237i 0.145235 0.214206i
\(750\) −9.54505 + 5.74307i −0.348536 + 0.209707i
\(751\) −0.174376 3.21617i −0.00636306 0.117360i −0.999989 0.00463455i \(-0.998525\pi\)
0.993626 0.112725i \(-0.0359580\pi\)
\(752\) 7.25802 6.87516i 0.264673 0.250711i
\(753\) −1.30519 + 0.992178i −0.0475637 + 0.0361570i
\(754\) 23.8076 5.24044i 0.867021 0.190846i
\(755\) 1.84490 + 2.17198i 0.0671426 + 0.0790464i
\(756\) −0.108402 + 1.99936i −0.00394256 + 0.0727162i
\(757\) 1.65110 + 3.11430i 0.0600101 + 0.113191i 0.911703 0.410851i \(-0.134768\pi\)
−0.851692 + 0.524042i \(0.824423\pi\)