Properties

Label 162.3.h.a.5.2
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.75282 - 1.19248i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.51997 + 1.13158i) q^{5} +(-0.743160 + 4.17705i) q^{6} +(-2.05983 + 1.35477i) q^{7} +(1.81808 + 2.16670i) q^{8} +(6.15598 + 6.56535i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(-2.75282 - 1.19248i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.51997 + 1.13158i) q^{5} +(-0.743160 + 4.17705i) q^{6} +(-2.05983 + 1.35477i) q^{7} +(1.81808 + 2.16670i) q^{8} +(6.15598 + 6.56535i) q^{9} +(2.05288 + 1.72257i) q^{10} +(0.177149 - 1.51561i) q^{11} +(5.99038 - 0.339644i) q^{12} +(4.60013 + 15.3655i) q^{13} +(2.53609 + 2.39268i) q^{14} +(5.53357 - 1.30248i) q^{15} +(2.38863 - 3.20849i) q^{16} +(13.4044 + 2.36356i) q^{17} +(7.02683 - 10.6124i) q^{18} +(1.74697 + 9.90758i) q^{19} +(1.70089 - 3.38675i) q^{20} +(7.28588 - 1.27313i) q^{21} +(-2.14339 + 0.250527i) q^{22} +(3.40001 - 5.16947i) q^{23} +(-2.42108 - 8.13255i) q^{24} +(-6.14024 + 20.5098i) q^{25} +(19.6441 - 11.3415i) q^{26} +(-9.11723 - 25.4141i) q^{27} +(2.46543 - 4.27024i) q^{28} +(0.504434 - 0.475909i) q^{29} +(-3.59706 - 7.18992i) q^{30} +(-2.90952 + 49.9546i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(-2.29499 + 3.96094i) q^{33} +(-1.11924 - 19.2166i) q^{34} +(1.59785 - 4.39007i) q^{35} +(-16.8954 - 6.20843i) q^{36} +(-42.8060 + 15.5801i) q^{37} +(13.0640 - 5.63526i) q^{38} +(5.65975 - 47.7839i) q^{39} +(-5.21521 - 1.23603i) q^{40} +(-3.48374 + 14.6991i) q^{41} +(-4.12816 - 9.61083i) q^{42} +(-9.40174 - 21.7957i) q^{43} +(1.04379 + 2.86780i) q^{44} +(-16.7861 - 3.01318i) q^{45} +(-8.22255 - 2.99276i) q^{46} +(-36.2386 + 2.11066i) q^{47} +(-10.4015 + 5.98399i) q^{48} +(-17.0004 + 39.4114i) q^{49} +(30.2260 + 1.76046i) q^{50} +(-34.0814 - 22.4909i) q^{51} +(-22.0137 - 23.3331i) q^{52} +(35.6992 + 20.6109i) q^{53} +(-31.9987 + 20.8347i) q^{54} +(1.44576 + 2.50414i) q^{55} +(-6.68032 - 1.99996i) q^{56} +(7.00549 - 29.3570i) q^{57} +(-0.819411 - 0.538935i) q^{58} +(-0.503282 - 4.30585i) q^{59} +(-8.72086 + 7.29481i) q^{60} +(4.43174 + 2.22570i) q^{61} +(69.6911 - 12.2884i) q^{62} +(-21.5749 - 5.18357i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-24.3793 - 18.1497i) q^{65} +(6.19912 + 1.86630i) q^{66} +(6.27180 - 6.64772i) q^{67} +(-26.0788 + 7.80747i) q^{68} +(-15.5241 + 10.1761i) q^{69} +(-6.56227 - 0.767019i) q^{70} +(25.0928 - 29.9044i) q^{71} +(-3.03310 + 25.2745i) q^{72} +(18.7518 - 15.7346i) q^{73} +(35.4004 + 53.8237i) q^{74} +(41.3605 - 49.1376i) q^{75} +(-12.0153 - 16.1394i) q^{76} +(1.68841 + 3.36190i) q^{77} +(-67.6010 + 7.79592i) q^{78} +(-18.4337 + 4.36886i) q^{79} +7.57973i q^{80} +(-5.20776 + 80.8324i) q^{81} +21.3635 q^{82} +(-34.6912 - 146.374i) q^{83} +(-11.8790 + 8.81522i) q^{84} +(-23.0488 + 11.5756i) q^{85} +(-26.9266 + 20.0461i) q^{86} +(-1.95612 + 0.708562i) q^{87} +(3.60594 - 2.37166i) q^{88} +(101.116 + 120.505i) q^{89} +(1.32820 + 24.0820i) q^{90} +(-30.2923 - 25.4182i) q^{91} +(-1.43662 + 12.2911i) q^{92} +(67.5793 - 134.046i) q^{93} +(14.7233 + 49.1793i) q^{94} +(-13.8665 - 13.0824i) q^{95} +(11.6269 + 12.3619i) q^{96} +(97.6355 - 131.147i) q^{97} +(59.7782 + 10.5405i) q^{98} +(11.0410 - 8.16701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) −2.75282 1.19248i −0.917605 0.397493i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −1.51997 + 1.13158i −0.303994 + 0.226315i −0.738336 0.674433i \(-0.764388\pi\)
0.434342 + 0.900748i \(0.356981\pi\)
\(6\) −0.743160 + 4.17705i −0.123860 + 0.696174i
\(7\) −2.05983 + 1.35477i −0.294262 + 0.193539i −0.688052 0.725661i \(-0.741534\pi\)
0.393790 + 0.919200i \(0.371164\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 6.15598 + 6.56535i 0.683998 + 0.729484i
\(10\) 2.05288 + 1.72257i 0.205288 + 0.172257i
\(11\) 0.177149 1.51561i 0.0161045 0.137783i −0.982794 0.184705i \(-0.940867\pi\)
0.998899 + 0.0469220i \(0.0149412\pi\)
\(12\) 5.99038 0.339644i 0.499198 0.0283037i
\(13\) 4.60013 + 15.3655i 0.353856 + 1.18196i 0.930908 + 0.365254i \(0.119018\pi\)
−0.577052 + 0.816707i \(0.695797\pi\)
\(14\) 2.53609 + 2.39268i 0.181149 + 0.170905i
\(15\) 5.53357 1.30248i 0.368905 0.0868323i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 13.4044 + 2.36356i 0.788495 + 0.139033i 0.553374 0.832933i \(-0.313340\pi\)
0.235121 + 0.971966i \(0.424451\pi\)
\(18\) 7.02683 10.6124i 0.390379 0.589580i
\(19\) 1.74697 + 9.90758i 0.0919460 + 0.521451i 0.995641 + 0.0932737i \(0.0297332\pi\)
−0.903695 + 0.428178i \(0.859156\pi\)
\(20\) 1.70089 3.38675i 0.0850444 0.169337i
\(21\) 7.28588 1.27313i 0.346947 0.0606253i
\(22\) −2.14339 + 0.250527i −0.0974270 + 0.0113876i
\(23\) 3.40001 5.16947i 0.147827 0.224759i −0.753982 0.656895i \(-0.771869\pi\)
0.901809 + 0.432136i \(0.142240\pi\)
\(24\) −2.42108 8.13255i −0.100879 0.338856i
\(25\) −6.14024 + 20.5098i −0.245609 + 0.820393i
\(26\) 19.6441 11.3415i 0.755541 0.436212i
\(27\) −9.11723 25.4141i −0.337675 0.941263i
\(28\) 2.46543 4.27024i 0.0880509 0.152509i
\(29\) 0.504434 0.475909i 0.0173943 0.0164106i −0.677495 0.735527i \(-0.736935\pi\)
0.694890 + 0.719116i \(0.255453\pi\)
\(30\) −3.59706 7.18992i −0.119902 0.239664i
\(31\) −2.90952 + 49.9546i −0.0938556 + 1.61144i 0.542509 + 0.840050i \(0.317475\pi\)
−0.636364 + 0.771389i \(0.719562\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) −2.29499 + 3.96094i −0.0695452 + 0.120029i
\(34\) −1.11924 19.2166i −0.0329188 0.565193i
\(35\) 1.59785 4.39007i 0.0456530 0.125431i
\(36\) −16.8954 6.20843i −0.469317 0.172456i
\(37\) −42.8060 + 15.5801i −1.15692 + 0.421084i −0.847995 0.530004i \(-0.822191\pi\)
−0.308922 + 0.951087i \(0.599968\pi\)
\(38\) 13.0640 5.63526i 0.343789 0.148296i
\(39\) 5.65975 47.7839i 0.145122 1.22523i
\(40\) −5.21521 1.23603i −0.130380 0.0309007i
\(41\) −3.48374 + 14.6991i −0.0849694 + 0.358514i −0.998875 0.0474118i \(-0.984903\pi\)
0.913906 + 0.405926i \(0.133051\pi\)
\(42\) −4.12816 9.61083i −0.0982896 0.228829i
\(43\) −9.40174 21.7957i −0.218645 0.506876i 0.773225 0.634132i \(-0.218642\pi\)
−0.991870 + 0.127256i \(0.959383\pi\)
\(44\) 1.04379 + 2.86780i 0.0237226 + 0.0651773i
\(45\) −16.7861 3.01318i −0.373024 0.0669595i
\(46\) −8.22255 2.99276i −0.178751 0.0650601i
\(47\) −36.2386 + 2.11066i −0.771033 + 0.0449076i −0.439151 0.898413i \(-0.644721\pi\)
−0.331882 + 0.943321i \(0.607684\pi\)
\(48\) −10.4015 + 5.98399i −0.216699 + 0.124666i
\(49\) −17.0004 + 39.4114i −0.346947 + 0.804314i
\(50\) 30.2260 + 1.76046i 0.604520 + 0.0352093i
\(51\) −34.0814 22.4909i −0.668262 0.440999i
\(52\) −22.0137 23.3331i −0.423340 0.448714i
\(53\) 35.6992 + 20.6109i 0.673569 + 0.388885i 0.797428 0.603414i \(-0.206194\pi\)
−0.123858 + 0.992300i \(0.539527\pi\)
\(54\) −31.9987 + 20.8347i −0.592568 + 0.385828i
\(55\) 1.44576 + 2.50414i 0.0262866 + 0.0455297i
\(56\) −6.68032 1.99996i −0.119292 0.0357135i
\(57\) 7.00549 29.3570i 0.122903 0.515034i
\(58\) −0.819411 0.538935i −0.0141278 0.00929198i
\(59\) −0.503282 4.30585i −0.00853020 0.0729805i 0.988303 0.152505i \(-0.0487340\pi\)
−0.996833 + 0.0795243i \(0.974660\pi\)
\(60\) −8.72086 + 7.29481i −0.145348 + 0.121580i
\(61\) 4.43174 + 2.22570i 0.0726514 + 0.0364869i 0.484754 0.874651i \(-0.338909\pi\)
−0.412103 + 0.911137i \(0.635205\pi\)
\(62\) 69.6911 12.2884i 1.12405 0.198200i
\(63\) −21.5749 5.18357i −0.342458 0.0822789i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −24.3793 18.1497i −0.375066 0.279226i
\(66\) 6.19912 + 1.86630i 0.0939260 + 0.0282773i
\(67\) 6.27180 6.64772i 0.0936089 0.0992197i −0.678875 0.734253i \(-0.737532\pi\)
0.772484 + 0.635034i \(0.219014\pi\)
\(68\) −26.0788 + 7.80747i −0.383511 + 0.114816i
\(69\) −15.5241 + 10.1761i −0.224987 + 0.147480i
\(70\) −6.56227 0.767019i −0.0937467 0.0109574i
\(71\) 25.0928 29.9044i 0.353420 0.421189i −0.559819 0.828615i \(-0.689129\pi\)
0.913238 + 0.407426i \(0.133574\pi\)
\(72\) −3.03310 + 25.2745i −0.0421264 + 0.351035i
\(73\) 18.7518 15.7346i 0.256873 0.215542i −0.505252 0.862972i \(-0.668600\pi\)
0.762125 + 0.647430i \(0.224156\pi\)
\(74\) 35.4004 + 53.8237i 0.478384 + 0.727347i
\(75\) 41.3605 49.1376i 0.551473 0.655168i
\(76\) −12.0153 16.1394i −0.158096 0.212360i
\(77\) 1.68841 + 3.36190i 0.0219274 + 0.0436610i
\(78\) −67.6010 + 7.79592i −0.866680 + 0.0999476i
\(79\) −18.4337 + 4.36886i −0.233337 + 0.0553020i −0.345621 0.938374i \(-0.612332\pi\)
0.112283 + 0.993676i \(0.464184\pi\)
\(80\) 7.57973i 0.0947466i
\(81\) −5.20776 + 80.8324i −0.0642933 + 0.997931i
\(82\) 21.3635 0.260530
\(83\) −34.6912 146.374i −0.417966 1.76354i −0.620443 0.784252i \(-0.713047\pi\)
0.202476 0.979287i \(-0.435101\pi\)
\(84\) −11.8790 + 8.81522i −0.141417 + 0.104943i
\(85\) −23.0488 + 11.5756i −0.271163 + 0.136183i
\(86\) −26.9266 + 20.0461i −0.313100 + 0.233094i
\(87\) −1.95612 + 0.708562i −0.0224842 + 0.00814439i
\(88\) 3.60594 2.37166i 0.0409766 0.0269507i
\(89\) 101.116 + 120.505i 1.13613 + 1.35399i 0.926538 + 0.376202i \(0.122770\pi\)
0.209595 + 0.977788i \(0.432785\pi\)
\(90\) 1.32820 + 24.0820i 0.0147578 + 0.267577i
\(91\) −30.2923 25.4182i −0.332882 0.279321i
\(92\) −1.43662 + 12.2911i −0.0156154 + 0.133598i
\(93\) 67.5793 134.046i 0.726659 1.44136i
\(94\) 14.7233 + 49.1793i 0.156631 + 0.523184i
\(95\) −13.8665 13.0824i −0.145963 0.137709i
\(96\) 11.6269 + 12.3619i 0.121113 + 0.128769i
\(97\) 97.6355 131.147i 1.00655 1.35203i 0.0715314 0.997438i \(-0.477211\pi\)
0.935020 0.354595i \(-0.115381\pi\)
\(98\) 59.7782 + 10.5405i 0.609982 + 0.107556i
\(99\) 11.0410 8.16701i 0.111526 0.0824951i
\(100\) −7.43535 42.1680i −0.0743535 0.421680i
\(101\) −20.9008 + 41.6168i −0.206938 + 0.412048i −0.973028 0.230685i \(-0.925903\pi\)
0.766090 + 0.642733i \(0.222200\pi\)
\(102\) −19.8343 + 54.2343i −0.194454 + 0.531709i
\(103\) 175.704 20.5368i 1.70586 0.199387i 0.793444 0.608644i \(-0.208286\pi\)
0.912419 + 0.409257i \(0.134212\pi\)
\(104\) −24.9290 + 37.9028i −0.239702 + 0.364450i
\(105\) −9.63367 + 10.1796i −0.0917492 + 0.0969489i
\(106\) 16.7196 55.8474i 0.157732 0.526863i
\(107\) −74.1222 + 42.7945i −0.692731 + 0.399948i −0.804634 0.593771i \(-0.797639\pi\)
0.111903 + 0.993719i \(0.464305\pi\)
\(108\) 39.1066 + 37.2381i 0.362098 + 0.344797i
\(109\) −79.1776 + 137.140i −0.726400 + 1.25816i 0.231995 + 0.972717i \(0.425475\pi\)
−0.958395 + 0.285445i \(0.907859\pi\)
\(110\) 2.97440 2.80620i 0.0270400 0.0255109i
\(111\) 136.416 + 8.15613i 1.22897 + 0.0734786i
\(112\) −0.573407 + 9.84502i −0.00511970 + 0.0879019i
\(113\) 0.402468 + 0.173608i 0.00356167 + 0.00153635i 0.397860 0.917446i \(-0.369753\pi\)
−0.394298 + 0.918983i \(0.629012\pi\)
\(114\) −42.6827 0.0657316i −0.374410 0.000576593i
\(115\) 0.681727 + 11.7048i 0.00592806 + 0.101781i
\(116\) −0.474382 + 1.30335i −0.00408950 + 0.0112358i
\(117\) −72.5616 + 124.791i −0.620185 + 1.06659i
\(118\) −5.76111 + 2.09687i −0.0488230 + 0.0177701i
\(119\) −30.8129 + 13.2914i −0.258932 + 0.111692i
\(120\) 12.8826 + 9.62158i 0.107355 + 0.0801799i
\(121\) 115.473 + 27.3675i 0.954320 + 0.226178i
\(122\) 1.61741 6.82437i 0.0132574 0.0559375i
\(123\) 27.1185 36.3095i 0.220475 0.295200i
\(124\) −39.6391 91.8937i −0.319670 0.741078i
\(125\) −30.0781 82.6388i −0.240624 0.661110i
\(126\) −0.0966498 + 31.3796i −0.000767062 + 0.249044i
\(127\) −9.18383 3.34264i −0.0723136 0.0263200i 0.305610 0.952157i \(-0.401140\pi\)
−0.377924 + 0.925837i \(0.623362\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) −0.109665 + 71.2109i −0.000850118 + 0.552022i
\(130\) −17.0246 + 39.4675i −0.130959 + 0.303596i
\(131\) 61.8487 + 3.60228i 0.472127 + 0.0274983i 0.292560 0.956247i \(-0.405493\pi\)
0.179568 + 0.983746i \(0.442530\pi\)
\(132\) 0.546423 9.13924i 0.00413957 0.0692366i
\(133\) −17.0210 18.0412i −0.127977 0.135648i
\(134\) −11.1934 6.46249i −0.0835326 0.0482276i
\(135\) 42.6159 + 28.3118i 0.315673 + 0.209717i
\(136\) 19.2491 + 33.3405i 0.141538 + 0.245151i
\(137\) −106.069 31.7549i −0.774225 0.231788i −0.124768 0.992186i \(-0.539819\pi\)
−0.649457 + 0.760398i \(0.725004\pi\)
\(138\) 19.0663 + 18.0438i 0.138162 + 0.130752i
\(139\) 151.870 + 99.8864i 1.09259 + 0.718607i 0.962060 0.272838i \(-0.0879622\pi\)
0.130529 + 0.991445i \(0.458333\pi\)
\(140\) 1.08473 + 9.28045i 0.00774806 + 0.0662889i
\(141\) 102.275 + 37.4035i 0.725354 + 0.265273i
\(142\) −49.3350 24.7770i −0.347430 0.174486i
\(143\) 24.1030 4.25001i 0.168552 0.0297203i
\(144\) 35.7693 4.06919i 0.248398 0.0282583i
\(145\) −0.228197 + 1.29417i −0.00157377 + 0.00892532i
\(146\) −27.7680 20.6725i −0.190192 0.141592i
\(147\) 93.7963 88.2196i 0.638070 0.600133i
\(148\) 62.5209 66.2683i 0.422439 0.447759i
\(149\) −144.103 + 43.1416i −0.967134 + 0.289541i −0.731151 0.682216i \(-0.761016\pi\)
−0.235984 + 0.971757i \(0.575831\pi\)
\(150\) −81.1073 40.8901i −0.540715 0.272601i
\(151\) 48.5215 + 5.67135i 0.321335 + 0.0375586i 0.275231 0.961378i \(-0.411246\pi\)
0.0461034 + 0.998937i \(0.485320\pi\)
\(152\) −18.2906 + 21.7979i −0.120333 + 0.143407i
\(153\) 66.9997 + 102.555i 0.437907 + 0.670292i
\(154\) 4.07563 3.41986i 0.0264651 0.0222069i
\(155\) −52.1050 79.2218i −0.336161 0.511108i
\(156\) 32.7753 + 90.4827i 0.210098 + 0.580018i
\(157\) −78.2520 105.111i −0.498421 0.669495i 0.479724 0.877419i \(-0.340737\pi\)
−0.978145 + 0.207924i \(0.933329\pi\)
\(158\) 12.0239 + 23.9416i 0.0761007 + 0.151529i
\(159\) −73.6951 99.3086i −0.463491 0.624583i
\(160\) 10.4304 2.47205i 0.0651901 0.0154503i
\(161\) 15.2545i 0.0947483i
\(162\) 112.931 19.1963i 0.697107 0.118496i
\(163\) −200.481 −1.22995 −0.614974 0.788548i \(-0.710833\pi\)
−0.614974 + 0.788548i \(0.710833\pi\)
\(164\) −6.96749 29.3982i −0.0424847 0.179257i
\(165\) −0.993788 8.61747i −0.00602295 0.0522271i
\(166\) −190.110 + 95.4767i −1.14524 + 0.575161i
\(167\) −250.969 + 186.839i −1.50281 + 1.11880i −0.542426 + 0.840103i \(0.682494\pi\)
−0.960380 + 0.278695i \(0.910098\pi\)
\(168\) 16.0048 + 13.4717i 0.0952666 + 0.0801885i
\(169\) −73.7398 + 48.4994i −0.436330 + 0.286979i
\(170\) 23.4462 + 27.9421i 0.137919 + 0.164365i
\(171\) −54.2924 + 72.4604i −0.317500 + 0.423745i
\(172\) 36.3672 + 30.5157i 0.211437 + 0.177417i
\(173\) 31.1760 266.728i 0.180208 1.54178i −0.536196 0.844094i \(-0.680139\pi\)
0.716404 0.697686i \(-0.245787\pi\)
\(174\) 1.61302 + 2.46072i 0.00927022 + 0.0141421i
\(175\) −15.1383 50.5654i −0.0865045 0.288945i
\(176\) −4.43967 4.18862i −0.0252254 0.0237990i
\(177\) −3.74920 + 12.4534i −0.0211819 + 0.0703580i
\(178\) 132.848 178.446i 0.746339 1.00251i
\(179\) −199.255 35.1341i −1.11316 0.196280i −0.413323 0.910585i \(-0.635632\pi\)
−0.699834 + 0.714305i \(0.746743\pi\)
\(180\) 32.7058 9.68182i 0.181699 0.0537879i
\(181\) −31.7387 179.999i −0.175352 0.994470i −0.937737 0.347346i \(-0.887083\pi\)
0.762385 0.647123i \(-0.224028\pi\)
\(182\) −25.0983 + 49.9749i −0.137903 + 0.274587i
\(183\) −9.54564 11.4117i −0.0521620 0.0623590i
\(184\) 17.3822 2.03169i 0.0944684 0.0110418i
\(185\) 47.4337 72.1194i 0.256398 0.389835i
\(186\) −206.500 49.2775i −1.11022 0.264933i
\(187\) 5.95681 19.8971i 0.0318546 0.106402i
\(188\) 62.8734 36.3000i 0.334433 0.193085i
\(189\) 53.2103 + 39.9970i 0.281536 + 0.211624i
\(190\) −13.4801 + 23.3483i −0.0709482 + 0.122886i
\(191\) 41.9493 39.5772i 0.219630 0.207210i −0.568561 0.822641i \(-0.692500\pi\)
0.788191 + 0.615431i \(0.211018\pi\)
\(192\) 13.2191 20.0314i 0.0688494 0.104330i
\(193\) −4.02930 + 69.1805i −0.0208772 + 0.358448i 0.971650 + 0.236424i \(0.0759755\pi\)
−0.992527 + 0.122024i \(0.961062\pi\)
\(194\) −212.314 91.5832i −1.09440 0.472078i
\(195\) 45.4685 + 79.0345i 0.233172 + 0.405305i
\(196\) −4.99135 85.6981i −0.0254661 0.437235i
\(197\) 1.85921 5.10813i 0.00943759 0.0259296i −0.934884 0.354952i \(-0.884497\pi\)
0.944322 + 0.329023i \(0.106719\pi\)
\(198\) −14.8395 12.5299i −0.0749469 0.0632823i
\(199\) −107.702 + 39.2003i −0.541215 + 0.196986i −0.598139 0.801392i \(-0.704093\pi\)
0.0569238 + 0.998379i \(0.481871\pi\)
\(200\) −55.6021 + 23.9844i −0.278010 + 0.119922i
\(201\) −25.1924 + 10.8209i −0.125335 + 0.0538356i
\(202\) 64.0852 + 15.1885i 0.317254 + 0.0751905i
\(203\) −0.394301 + 1.66369i −0.00194237 + 0.00819550i
\(204\) 81.1003 + 9.60589i 0.397550 + 0.0470877i
\(205\) −11.3379 26.2843i −0.0553069 0.128216i
\(206\) −85.5647 235.087i −0.415363 1.14120i
\(207\) 54.8698 9.50087i 0.265072 0.0458979i
\(208\) 60.2881 + 21.9431i 0.289847 + 0.105496i
\(209\) 15.3255 0.892608i 0.0733277 0.00427085i
\(210\) 17.1501 + 9.93684i 0.0816669 + 0.0473183i
\(211\) 107.636 249.529i 0.510124 1.18260i −0.447423 0.894323i \(-0.647658\pi\)
0.957547 0.288278i \(-0.0930827\pi\)
\(212\) −82.3042 4.79368i −0.388227 0.0226117i
\(213\) −104.736 + 52.3987i −0.491719 + 0.246003i
\(214\) 83.0634 + 88.0421i 0.388147 + 0.411412i
\(215\) 38.9538 + 22.4900i 0.181181 + 0.104605i
\(216\) 38.4889 65.9591i 0.178189 0.305366i
\(217\) −61.6840 106.840i −0.284258 0.492350i
\(218\) 214.540 + 64.2291i 0.984128 + 0.294629i
\(219\) −70.3833 + 20.9533i −0.321385 + 0.0956773i
\(220\) −4.83167 3.17784i −0.0219621 0.0144447i
\(221\) 25.3447 + 216.838i 0.114682 + 0.981168i
\(222\) −33.2671 190.381i −0.149852 0.857572i
\(223\) 309.666 + 155.520i 1.38864 + 0.697399i 0.976859 0.213886i \(-0.0686121\pi\)
0.411777 + 0.911285i \(0.364908\pi\)
\(224\) 13.7347 2.42179i 0.0613155 0.0108116i
\(225\) −172.453 + 85.9453i −0.766460 + 0.381979i
\(226\) 0.107640 0.610454i 0.000476281 0.00270112i
\(227\) −208.518 155.236i −0.918582 0.683859i 0.0302828 0.999541i \(-0.490359\pi\)
−0.948865 + 0.315682i \(0.897767\pi\)
\(228\) 13.8301 + 58.7568i 0.0606583 + 0.257705i
\(229\) 105.815 112.157i 0.462074 0.489769i −0.453875 0.891065i \(-0.649959\pi\)
0.915948 + 0.401296i \(0.131440\pi\)
\(230\) 15.8846 4.75552i 0.0690633 0.0206762i
\(231\) −0.638880 11.2681i −0.00276572 0.0487795i
\(232\) 1.94825 + 0.227718i 0.00839764 + 0.000981543i
\(233\) 39.1685 46.6792i 0.168105 0.200340i −0.675414 0.737438i \(-0.736035\pi\)
0.843519 + 0.537099i \(0.180480\pi\)
\(234\) 195.390 + 59.1521i 0.834998 + 0.252787i
\(235\) 52.6931 44.2148i 0.224226 0.188148i
\(236\) 4.76442 + 7.24395i 0.0201882 + 0.0306947i
\(237\) 55.9542 + 9.95511i 0.236094 + 0.0420047i
\(238\) 28.3395 + 38.0666i 0.119074 + 0.159944i
\(239\) 2.34860 + 4.67645i 0.00982679 + 0.0195667i 0.898492 0.438989i \(-0.144663\pi\)
−0.888666 + 0.458556i \(0.848367\pi\)
\(240\) 9.03868 20.8656i 0.0376611 0.0869400i
\(241\) −86.4151 + 20.4807i −0.358569 + 0.0849824i −0.405952 0.913894i \(-0.633060\pi\)
0.0473832 + 0.998877i \(0.484912\pi\)
\(242\) 167.827i 0.693500i
\(243\) 110.727 216.307i 0.455667 0.890150i
\(244\) −9.91847 −0.0406495
\(245\) −18.7568 79.1413i −0.0765585 0.323026i
\(246\) −58.8097 25.4755i −0.239064 0.103559i
\(247\) −144.199 + 72.4192i −0.583800 + 0.293195i
\(248\) −113.526 + 84.5173i −0.457768 + 0.340796i
\(249\) −79.0493 + 444.308i −0.317467 + 1.78437i
\(250\) −103.909 + 68.3420i −0.415636 + 0.273368i
\(251\) 253.867 + 302.547i 1.01142 + 1.20537i 0.978572 + 0.205907i \(0.0660145\pi\)
0.0328517 + 0.999460i \(0.489541\pi\)
\(252\) 43.2128 10.1011i 0.171479 0.0400839i
\(253\) −7.23258 6.06885i −0.0285873 0.0239876i
\(254\) −1.60457 + 13.7280i −0.00631720 + 0.0540471i
\(255\) 77.2528 4.38010i 0.302952 0.0171769i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 356.557 + 336.394i 1.38738 + 1.30893i 0.900101 + 0.435681i \(0.143492\pi\)
0.487280 + 0.873246i \(0.337989\pi\)
\(258\) 98.0286 23.0738i 0.379956 0.0894334i
\(259\) 67.0656 90.0847i 0.258941 0.347818i
\(260\) 59.8633 + 10.5555i 0.230244 + 0.0405982i
\(261\) 6.22980 + 0.382101i 0.0238689 + 0.00146399i
\(262\) −15.2143 86.2844i −0.0580697 0.329330i
\(263\) −179.098 + 356.613i −0.680980 + 1.35594i 0.241691 + 0.970353i \(0.422298\pi\)
−0.922671 + 0.385588i \(0.873998\pi\)
\(264\) −12.7547 + 2.22874i −0.0483131 + 0.00844220i
\(265\) −77.5845 + 9.06832i −0.292772 + 0.0342201i
\(266\) −19.2751 + 29.3064i −0.0724629 + 0.110175i
\(267\) −134.653 452.307i −0.504319 1.69403i
\(268\) −5.24239 + 17.5108i −0.0195611 + 0.0653388i
\(269\) −145.224 + 83.8453i −0.539867 + 0.311693i −0.745025 0.667036i \(-0.767563\pi\)
0.205158 + 0.978729i \(0.434229\pi\)
\(270\) 25.0609 67.8770i 0.0928183 0.251396i
\(271\) −164.698 + 285.264i −0.607740 + 1.05264i 0.383872 + 0.923386i \(0.374590\pi\)
−0.991612 + 0.129250i \(0.958743\pi\)
\(272\) 39.6017 37.3623i 0.145594 0.137361i
\(273\) 53.0783 + 106.095i 0.194426 + 0.388625i
\(274\) −9.10443 + 156.317i −0.0332279 + 0.570500i
\(275\) 29.9971 + 12.9395i 0.109080 + 0.0470527i
\(276\) 18.6116 32.1219i 0.0674333 0.116384i
\(277\) 12.5142 + 214.861i 0.0451777 + 0.775671i 0.942482 + 0.334258i \(0.108486\pi\)
−0.897304 + 0.441413i \(0.854477\pi\)
\(278\) 87.9221 241.564i 0.316267 0.868935i
\(279\) −345.881 + 288.418i −1.23972 + 1.03375i
\(280\) 12.4170 4.51941i 0.0443464 0.0161408i
\(281\) 460.762 198.753i 1.63972 0.707307i 0.641511 0.767114i \(-0.278308\pi\)
0.998210 + 0.0598070i \(0.0190485\pi\)
\(282\) 18.1148 152.939i 0.0642367 0.542336i
\(283\) 160.979 + 38.1528i 0.568832 + 0.134816i 0.504960 0.863143i \(-0.331507\pi\)
0.0638714 + 0.997958i \(0.479655\pi\)
\(284\) −18.0053 + 75.9704i −0.0633990 + 0.267501i
\(285\) 22.5715 + 52.5489i 0.0791981 + 0.184382i
\(286\) −13.7094 31.7819i −0.0479348 0.111125i
\(287\) −12.7380 34.9973i −0.0443832 0.121942i
\(288\) −17.2654 47.8947i −0.0599493 0.166301i
\(289\) −97.4793 35.4796i −0.337299 0.122767i
\(290\) 1.85532 0.108060i 0.00639767 0.000372622i
\(291\) −425.163 + 244.596i −1.46104 + 0.840535i
\(292\) −19.3910 + 44.9534i −0.0664076 + 0.153950i
\(293\) 463.304 + 26.9844i 1.58124 + 0.0920969i 0.826123 0.563490i \(-0.190542\pi\)
0.755120 + 0.655587i \(0.227579\pi\)
\(294\) −151.989 100.300i −0.516970 0.341158i
\(295\) 5.63737 + 5.97526i 0.0191097 + 0.0202551i
\(296\) −111.582 64.4219i −0.376966 0.217641i
\(297\) −40.1329 + 9.31606i −0.135128 + 0.0313672i
\(298\) 106.365 + 184.229i 0.356928 + 0.618218i
\(299\) 95.0719 + 28.4627i 0.317966 + 0.0951929i
\(300\) −29.8163 + 124.947i −0.0993877 + 0.416490i
\(301\) 48.8942 + 32.1582i 0.162439 + 0.106838i
\(302\) −8.02051 68.6198i −0.0265580 0.227218i
\(303\) 107.163 89.6397i 0.353674 0.295841i
\(304\) 35.9613 + 18.0604i 0.118294 + 0.0594093i
\(305\) −9.25465 + 1.63184i −0.0303431 + 0.00535031i
\(306\) 119.274 125.645i 0.389783 0.410605i
\(307\) 13.6919 77.6505i 0.0445990 0.252933i −0.954354 0.298677i \(-0.903455\pi\)
0.998953 + 0.0457437i \(0.0145658\pi\)
\(308\) −6.03527 4.49309i −0.0195950 0.0145880i
\(309\) −508.170 152.989i −1.64456 0.495111i
\(310\) −92.0231 + 97.5387i −0.296849 + 0.314641i
\(311\) 355.243 106.353i 1.14226 0.341970i 0.340869 0.940111i \(-0.389279\pi\)
0.801391 + 0.598141i \(0.204094\pi\)
\(312\) 113.823 74.6119i 0.364818 0.239141i
\(313\) −103.770 12.1289i −0.331533 0.0387506i −0.0513018 0.998683i \(-0.516337\pi\)
−0.280231 + 0.959933i \(0.590411\pi\)
\(314\) −119.121 + 141.963i −0.379366 + 0.452111i
\(315\) 38.6587 16.5347i 0.122726 0.0524911i
\(316\) 29.0244 24.3543i 0.0918492 0.0770707i
\(317\) 183.368 + 278.798i 0.578449 + 0.879488i 0.999622 0.0274919i \(-0.00875203\pi\)
−0.421174 + 0.906980i \(0.638382\pi\)
\(318\) −112.623 + 133.800i −0.354160 + 0.420754i
\(319\) −0.631931 0.848831i −0.00198098 0.00266091i
\(320\) −6.80355 13.5470i −0.0212611 0.0423343i
\(321\) 255.076 29.4160i 0.794630 0.0916387i
\(322\) 20.9916 4.97510i 0.0651913 0.0154506i
\(323\) 136.934i 0.423945i
\(324\) −63.2474 149.143i −0.195208 0.460319i
\(325\) −343.389 −1.05658
\(326\) 65.3850 + 275.881i 0.200568 + 0.846261i
\(327\) 381.498 283.102i 1.16666 0.865757i
\(328\) −38.1822 + 19.1758i −0.116409 + 0.0584629i
\(329\) 71.7859 53.4426i 0.218194 0.162440i
\(330\) −11.5343 + 4.17805i −0.0349525 + 0.0126607i
\(331\) −186.250 + 122.499i −0.562689 + 0.370087i −0.798760 0.601649i \(-0.794511\pi\)
0.236071 + 0.971736i \(0.424140\pi\)
\(332\) 193.387 + 230.470i 0.582492 + 0.694186i
\(333\) −365.802 185.125i −1.09850 0.555932i
\(334\) 338.959 + 284.420i 1.01485 + 0.851558i
\(335\) −2.01055 + 17.2013i −0.00600164 + 0.0513473i
\(336\) 13.3185 26.4177i 0.0396383 0.0786242i
\(337\) −142.668 476.544i −0.423347 1.41408i −0.858079 0.513518i \(-0.828342\pi\)
0.434732 0.900560i \(-0.356843\pi\)
\(338\) 90.7893 + 85.6553i 0.268607 + 0.253418i
\(339\) −0.900897 0.957846i −0.00265751 0.00282550i
\(340\) 30.8042 41.3772i 0.0906005 0.121698i
\(341\) 75.1962 + 13.2591i 0.220517 + 0.0388830i
\(342\) 117.419 + 51.0792i 0.343331 + 0.149354i
\(343\) −39.3532 223.183i −0.114732 0.650679i
\(344\) 30.1316 59.9970i 0.0875920 0.174410i
\(345\) 12.0811 33.0341i 0.0350176 0.0957510i
\(346\) −377.210 + 44.0895i −1.09020 + 0.127426i
\(347\) 231.230 351.568i 0.666368 1.01316i −0.331206 0.943558i \(-0.607456\pi\)
0.997575 0.0696054i \(-0.0221740\pi\)
\(348\) 2.86011 3.02220i 0.00821871 0.00868449i
\(349\) 17.5908 58.7574i 0.0504035 0.168359i −0.929082 0.369874i \(-0.879401\pi\)
0.979486 + 0.201514i \(0.0645862\pi\)
\(350\) −64.6455 + 37.3231i −0.184702 + 0.106637i
\(351\) 348.560 256.999i 0.993048 0.732190i
\(352\) −4.31597 + 7.47548i −0.0122613 + 0.0212372i
\(353\) 457.706 431.823i 1.29662 1.22330i 0.337158 0.941448i \(-0.390534\pi\)
0.959459 0.281847i \(-0.0909470\pi\)
\(354\) 18.3598 + 1.09771i 0.0518637 + 0.00310087i
\(355\) −4.30117 + 73.8482i −0.0121160 + 0.208023i
\(356\) −288.886 124.613i −0.811478 0.350037i
\(357\) 100.672 + 0.155036i 0.281994 + 0.000434273i
\(358\) 16.6373 + 285.652i 0.0464730 + 0.797911i
\(359\) 1.75860 4.83172i 0.00489862 0.0134588i −0.937219 0.348741i \(-0.886609\pi\)
0.942118 + 0.335282i \(0.108832\pi\)
\(360\) −23.9898 41.8486i −0.0666383 0.116246i
\(361\) 244.121 88.8527i 0.676235 0.246129i
\(362\) −237.344 + 102.380i −0.655647 + 0.282818i
\(363\) −285.240 213.037i −0.785785 0.586878i
\(364\) 76.9556 + 18.2388i 0.211417 + 0.0501067i
\(365\) −10.6972 + 45.1351i −0.0293074 + 0.123658i
\(366\) −12.5903 + 16.8575i −0.0343999 + 0.0460588i
\(367\) 285.806 + 662.572i 0.778763 + 1.80537i 0.557537 + 0.830152i \(0.311746\pi\)
0.221225 + 0.975223i \(0.428994\pi\)
\(368\) −8.46481 23.2569i −0.0230022 0.0631981i
\(369\) −117.951 + 67.6152i −0.319649 + 0.183239i
\(370\) −114.713 41.7521i −0.310035 0.112844i
\(371\) −101.457 + 5.90922i −0.273470 + 0.0159278i
\(372\) −0.462364 + 300.235i −0.00124291 + 0.807084i
\(373\) 125.324 290.534i 0.335989 0.778911i −0.663537 0.748143i \(-0.730946\pi\)
0.999527 0.0307678i \(-0.00979523\pi\)
\(374\) −29.3231 1.70787i −0.0784039 0.00456651i
\(375\) −15.7458 + 263.357i −0.0419887 + 0.702285i
\(376\) −70.4577 74.6808i −0.187387 0.198619i
\(377\) 9.63303 + 5.56163i 0.0255518 + 0.0147523i
\(378\) 37.6856 86.2670i 0.0996973 0.228219i
\(379\) −8.79624 15.2355i −0.0232091 0.0401993i 0.854188 0.519965i \(-0.174055\pi\)
−0.877397 + 0.479766i \(0.840722\pi\)
\(380\) 36.5259 + 10.9351i 0.0961207 + 0.0287766i
\(381\) 21.2953 + 20.1532i 0.0558933 + 0.0528955i
\(382\) −68.1432 44.8185i −0.178385 0.117326i
\(383\) −41.9165 358.619i −0.109443 0.936341i −0.930700 0.365783i \(-0.880801\pi\)
0.821258 0.570558i \(-0.193273\pi\)
\(384\) −31.8763 11.6577i −0.0830112 0.0303585i
\(385\) −6.37057 3.19942i −0.0165469 0.00831018i
\(386\) 96.5129 17.0178i 0.250033 0.0440877i
\(387\) 85.2194 195.900i 0.220205 0.506201i
\(388\) −56.7830 + 322.032i −0.146348 + 0.829980i
\(389\) −25.2759 18.8172i −0.0649766 0.0483733i 0.564180 0.825652i \(-0.309192\pi\)
−0.629157 + 0.777278i \(0.716600\pi\)
\(390\) 93.9298 88.3452i 0.240846 0.226526i
\(391\) 57.7935 61.2575i 0.147809 0.156669i
\(392\) −116.301 + 34.8182i −0.296686 + 0.0888218i
\(393\) −165.962 83.6697i −0.422296 0.212900i
\(394\) −7.63562 0.892476i −0.0193797 0.00226517i
\(395\) 23.0749 27.4996i 0.0584175 0.0696192i
\(396\) −12.4026 + 24.5070i −0.0313196 + 0.0618864i
\(397\) 461.362 387.129i 1.16212 0.975136i 0.162189 0.986760i \(-0.448145\pi\)
0.999932 + 0.0116240i \(0.00370012\pi\)
\(398\) 89.0691 + 135.423i 0.223792 + 0.340259i
\(399\) 25.3419 + 69.9613i 0.0635135 + 0.175342i
\(400\) 51.1388 + 68.6914i 0.127847 + 0.171728i
\(401\) −257.057 511.843i −0.641040 1.27642i −0.946036 0.324062i \(-0.894951\pi\)
0.304996 0.952354i \(-0.401345\pi\)
\(402\) 23.1069 + 31.1379i 0.0574798 + 0.0774575i
\(403\) −780.961 + 185.091i −1.93787 + 0.459284i
\(404\) 93.1408i 0.230547i
\(405\) −83.5523 128.756i −0.206302 0.317915i
\(406\) 2.41798 0.00595563
\(407\) 16.0303 + 67.6371i 0.0393864 + 0.166184i
\(408\) −13.2315 114.734i −0.0324300 0.281212i
\(409\) −476.333 + 239.223i −1.16463 + 0.584899i −0.922747 0.385407i \(-0.874061\pi\)
−0.241882 + 0.970306i \(0.577765\pi\)
\(410\) −32.4718 + 24.1744i −0.0791996 + 0.0589619i
\(411\) 254.121 + 213.900i 0.618299 + 0.520439i
\(412\) −295.596 + 194.416i −0.717465 + 0.471884i
\(413\) 6.87013 + 8.18750i 0.0166347 + 0.0198245i
\(414\) −30.9693 72.4074i −0.0748051 0.174897i
\(415\) 218.362 + 183.228i 0.526175 + 0.441513i
\(416\) 10.5333 90.1186i 0.0253206 0.216631i
\(417\) −298.957 456.070i −0.716923 1.09369i
\(418\) −6.22657 20.7982i −0.0148961 0.0497564i
\(419\) −121.681 114.800i −0.290408 0.273985i 0.527225 0.849726i \(-0.323232\pi\)
−0.817633 + 0.575740i \(0.804714\pi\)
\(420\) 8.08069 26.8409i 0.0192397 0.0639069i
\(421\) 314.355 422.252i 0.746687 1.00297i −0.252685 0.967548i \(-0.581314\pi\)
0.999372 0.0354260i \(-0.0112788\pi\)
\(422\) −378.479 66.7361i −0.896870 0.158142i
\(423\) −236.941 224.926i −0.560145 0.531740i
\(424\) 20.2462 + 114.822i 0.0477504 + 0.270806i
\(425\) −130.782 + 260.409i −0.307723 + 0.612728i
\(426\) 106.264 + 127.038i 0.249446 + 0.298210i
\(427\) −12.1440 + 1.41942i −0.0284402 + 0.00332418i
\(428\) 94.0638 143.017i 0.219775 0.334152i
\(429\) −71.4191 17.0428i −0.166478 0.0397269i
\(430\) 18.2439 60.9390i 0.0424277 0.141719i
\(431\) −516.278 + 298.073i −1.19786 + 0.691585i −0.960078 0.279733i \(-0.909754\pi\)
−0.237783 + 0.971318i \(0.576421\pi\)
\(432\) −103.319 31.4524i −0.239164 0.0728065i
\(433\) −130.715 + 226.404i −0.301881 + 0.522874i −0.976562 0.215236i \(-0.930948\pi\)
0.674681 + 0.738110i \(0.264281\pi\)
\(434\) −126.904 + 119.728i −0.292406 + 0.275870i
\(435\) 2.17146 3.29049i 0.00499186 0.00756435i
\(436\) 18.4151 316.175i 0.0422364 0.725171i
\(437\) 57.1566 + 24.6550i 0.130793 + 0.0564187i
\(438\) 51.7885 + 90.0203i 0.118239 + 0.205526i
\(439\) 23.3382 + 400.702i 0.0531622 + 0.912760i 0.914464 + 0.404667i \(0.132612\pi\)
−0.861302 + 0.508093i \(0.830351\pi\)
\(440\) −2.79720 + 7.68525i −0.00635728 + 0.0174665i
\(441\) −363.404 + 131.002i −0.824045 + 0.297057i
\(442\) 290.123 105.596i 0.656388 0.238906i
\(443\) −507.642 + 218.975i −1.14592 + 0.494301i −0.882468 0.470372i \(-0.844120\pi\)
−0.263450 + 0.964673i \(0.584861\pi\)
\(444\) −251.132 + 107.869i −0.565613 + 0.242949i
\(445\) −290.054 68.7440i −0.651806 0.154481i
\(446\) 113.016 476.850i 0.253398 1.06917i
\(447\) 448.134 + 53.0791i 1.00254 + 0.118745i
\(448\) −7.81204 18.1103i −0.0174376 0.0404249i
\(449\) −254.457 699.114i −0.566719 1.55705i −0.809595 0.586989i \(-0.800313\pi\)
0.242876 0.970057i \(-0.421909\pi\)
\(450\) 174.513 + 209.282i 0.387806 + 0.465071i
\(451\) 21.6609 + 7.88392i 0.0480286 + 0.0174810i
\(452\) −0.875147 + 0.0509715i −0.00193617 + 0.000112769i
\(453\) −126.808 73.4732i −0.279929 0.162192i
\(454\) −145.613 + 337.569i −0.320734 + 0.743544i
\(455\) 74.8059 + 4.35695i 0.164409 + 0.00957571i
\(456\) 76.3443 38.1944i 0.167422 0.0837597i
\(457\) −325.484 344.993i −0.712218 0.754907i 0.265663 0.964066i \(-0.414409\pi\)
−0.977882 + 0.209159i \(0.932928\pi\)
\(458\) −188.849 109.032i −0.412335 0.238061i
\(459\) −62.1434 362.210i −0.135389 0.789129i
\(460\) −11.7246 20.3077i −0.0254883 0.0441471i
\(461\) 301.544 + 90.2765i 0.654109 + 0.195827i 0.596627 0.802519i \(-0.296507\pi\)
0.0574828 + 0.998346i \(0.481693\pi\)
\(462\) −15.2976 + 4.55413i −0.0331116 + 0.00985742i
\(463\) 430.503 + 283.147i 0.929813 + 0.611548i 0.921483 0.388418i \(-0.126978\pi\)
0.00832960 + 0.999965i \(0.497349\pi\)
\(464\) −0.322042 2.75524i −0.000694056 0.00593803i
\(465\) 48.9650 + 280.217i 0.105301 + 0.602618i
\(466\) −77.0093 38.6755i −0.165256 0.0829947i
\(467\) −771.784 + 136.086i −1.65264 + 0.291406i −0.920791 0.390057i \(-0.872455\pi\)
−0.731853 + 0.681463i \(0.761344\pi\)
\(468\) 17.6745 288.166i 0.0377660 0.615740i
\(469\) −3.91271 + 22.1901i −0.00834266 + 0.0473136i
\(470\) −78.0290 58.0904i −0.166019 0.123597i
\(471\) 90.0709 + 382.664i 0.191233 + 0.812451i
\(472\) 8.41449 8.91883i 0.0178273 0.0188958i
\(473\) −34.6992 + 10.3883i −0.0733599 + 0.0219625i
\(474\) −4.54975 80.2450i −0.00959863 0.169293i
\(475\) −213.929 25.0048i −0.450378 0.0526416i
\(476\) 43.1405 51.4129i 0.0906314 0.108010i
\(477\) 84.4454 + 361.258i 0.177034 + 0.757355i
\(478\) 5.66926 4.75708i 0.0118604 0.00995204i
\(479\) 327.324 + 497.672i 0.683349 + 1.03898i 0.996021 + 0.0891208i \(0.0284057\pi\)
−0.312671 + 0.949861i \(0.601224\pi\)
\(480\) −31.6609 5.63295i −0.0659602 0.0117353i
\(481\) −436.309 586.064i −0.907087 1.21843i
\(482\) 56.3668 + 112.236i 0.116944 + 0.232854i
\(483\) 18.1907 41.9928i 0.0376618 0.0869416i
\(484\) −230.945 + 54.7351i −0.477160 + 0.113089i
\(485\) 309.822i 0.638807i
\(486\) −333.771 81.8245i −0.686771 0.168363i
\(487\) 181.174 0.372022 0.186011 0.982548i \(-0.440444\pi\)
0.186011 + 0.982548i \(0.440444\pi\)
\(488\) 3.23481 + 13.6487i 0.00662871 + 0.0279687i
\(489\) 551.888 + 239.070i 1.12861 + 0.488896i
\(490\) −102.788 + 51.6223i −0.209772 + 0.105352i
\(491\) 135.881 101.160i 0.276744 0.206028i −0.449834 0.893112i \(-0.648517\pi\)
0.726578 + 0.687084i \(0.241110\pi\)
\(492\) −15.8765 + 89.2363i −0.0322693 + 0.181375i
\(493\) 7.88648 5.18702i 0.0159969 0.0105213i
\(494\) 146.685 + 174.812i 0.296932 + 0.353870i
\(495\) −7.54044 + 24.9074i −0.0152332 + 0.0503179i
\(496\) 153.329 + 128.658i 0.309131 + 0.259392i
\(497\) −11.1732 + 95.5931i −0.0224814 + 0.192340i
\(498\) 637.191 36.1276i 1.27950 0.0725454i
\(499\) 59.4304 + 198.511i 0.119099 + 0.397818i 0.996662 0.0816439i \(-0.0260170\pi\)
−0.877563 + 0.479462i \(0.840832\pi\)
\(500\) 127.934 + 120.699i 0.255868 + 0.241399i
\(501\) 913.672 215.059i 1.82370 0.429259i
\(502\) 333.537 448.018i 0.664416 0.892466i
\(503\) 538.709 + 94.9889i 1.07099 + 0.188845i 0.681229 0.732070i \(-0.261446\pi\)
0.389763 + 0.920915i \(0.372557\pi\)
\(504\) −27.9935 56.1704i −0.0555427 0.111449i
\(505\) −15.3241 86.9071i −0.0303447 0.172093i
\(506\) −5.99248 + 11.9320i −0.0118428 + 0.0235810i
\(507\) 260.827 45.5767i 0.514451 0.0898949i
\(508\) 19.4143 2.26920i 0.0382171 0.00446694i
\(509\) 327.303 497.640i 0.643031 0.977681i −0.356035 0.934473i \(-0.615872\pi\)
0.999066 0.0432088i \(-0.0137581\pi\)
\(510\) −31.2227 104.879i −0.0612209 0.205644i
\(511\) −17.3087 + 57.8150i −0.0338722 + 0.113141i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 235.865 134.727i 0.459775 0.262626i
\(514\) 346.622 600.367i 0.674362 1.16803i
\(515\) −243.826 + 230.038i −0.473448 + 0.446675i
\(516\) −63.7228 127.371i −0.123494 0.246843i
\(517\) −3.22070 + 55.2974i −0.00622960 + 0.106958i
\(518\) −145.838 62.9083i −0.281540 0.121445i
\(519\) −403.889 + 697.076i −0.778207 + 1.34311i
\(520\) −4.99845 85.8201i −0.00961241 0.165039i
\(521\) 186.826 513.302i 0.358592 0.985224i −0.620926 0.783869i \(-0.713243\pi\)
0.979518 0.201355i \(-0.0645344\pi\)
\(522\) −1.50598 8.69740i −0.00288502 0.0166617i
\(523\) 756.867 275.477i 1.44717 0.526725i 0.505367 0.862904i \(-0.331357\pi\)
0.941798 + 0.336179i \(0.109135\pi\)
\(524\) −113.773 + 49.0771i −0.217125 + 0.0936585i
\(525\) −18.6253 + 157.249i −0.0354768 + 0.299523i
\(526\) 549.143 + 130.149i 1.04400 + 0.247432i
\(527\) −157.071 + 662.735i −0.298048 + 1.25756i
\(528\) 7.22676 + 16.8247i 0.0136870 + 0.0318650i
\(529\) 194.363 + 450.584i 0.367416 + 0.851765i
\(530\) 37.7823 + 103.806i 0.0712873 + 0.195860i
\(531\) 25.1712 29.8110i 0.0474035 0.0561412i
\(532\) 46.6148 + 16.9664i 0.0876218 + 0.0318917i
\(533\) −241.884 + 14.0882i −0.453817 + 0.0264318i
\(534\) −578.501 + 332.811i −1.08333 + 0.623241i
\(535\) 64.2383 148.921i 0.120072 0.278357i
\(536\) 25.8062 + 1.50304i 0.0481460 + 0.00280418i
\(537\) 506.616 + 334.325i 0.943419 + 0.622580i
\(538\) 162.742 + 172.497i 0.302495 + 0.320626i
\(539\) 56.7206 + 32.7477i 0.105233 + 0.0607563i
\(540\) −101.578 12.3488i −0.188108 0.0228681i
\(541\) 115.979 + 200.881i 0.214378 + 0.371314i 0.953080 0.302718i \(-0.0978941\pi\)
−0.738702 + 0.674032i \(0.764561\pi\)
\(542\) 446.265 + 133.603i 0.823367 + 0.246500i
\(543\) −127.274 + 533.352i −0.234391 + 0.982231i
\(544\) −64.3297 42.3103i −0.118253 0.0777763i
\(545\) −34.8363 298.043i −0.0639198 0.546869i
\(546\) 128.685 107.642i 0.235687 0.197147i
\(547\) 606.563 + 304.627i 1.10889 + 0.556906i 0.906418 0.422382i \(-0.138806\pi\)
0.202473 + 0.979288i \(0.435102\pi\)
\(548\) 218.076 38.4527i 0.397949 0.0701692i
\(549\) 12.6692 + 42.7973i 0.0230768 + 0.0779550i
\(550\) 8.02269 45.4989i 0.0145867 0.0827253i
\(551\) 5.59633 + 4.16632i 0.0101567 + 0.00756137i
\(552\) −50.2727 15.1350i −0.0910737 0.0274186i
\(553\) 32.0514 33.9725i 0.0579592 0.0614332i
\(554\) 291.587 87.2954i 0.526330 0.157573i
\(555\) −216.577 + 141.968i −0.390229 + 0.255798i
\(556\) −361.089 42.2053i −0.649442 0.0759088i
\(557\) −292.377 + 348.442i −0.524914 + 0.625568i −0.961735 0.273980i \(-0.911660\pi\)
0.436821 + 0.899548i \(0.356104\pi\)
\(558\) 509.695 + 381.900i 0.913432 + 0.684408i
\(559\) 291.652 244.725i 0.521739 0.437791i
\(560\) −10.2688 15.6130i −0.0183372 0.0278803i
\(561\) −40.1249 + 47.6698i −0.0715240 + 0.0849728i
\(562\) −423.776 569.230i −0.754049 1.01286i
\(563\) −268.006 533.643i −0.476031 0.947856i −0.995625 0.0934426i \(-0.970213\pi\)
0.519593 0.854414i \(-0.326083\pi\)
\(564\) −216.366 + 24.9518i −0.383627 + 0.0442409i
\(565\) −0.808189 + 0.191544i −0.00143042 + 0.000339017i
\(566\) 233.966i 0.413367i
\(567\) −98.7825 173.557i −0.174220 0.306096i
\(568\) 110.415 0.194392
\(569\) 24.2295 + 102.232i 0.0425826 + 0.179670i 0.990180 0.139796i \(-0.0446446\pi\)
−0.947598 + 0.319466i \(0.896496\pi\)
\(570\) 64.9507 48.1988i 0.113949 0.0845592i
\(571\) −63.8065 + 32.0448i −0.111745 + 0.0561205i −0.503794 0.863824i \(-0.668063\pi\)
0.392049 + 0.919945i \(0.371767\pi\)
\(572\) −39.2636 + 29.2307i −0.0686427 + 0.0511026i
\(573\) −162.674 + 58.9249i −0.283898 + 0.102836i
\(574\) −44.0052 + 28.9427i −0.0766641 + 0.0504228i
\(575\) 85.1480 + 101.475i 0.148083 + 0.176479i
\(576\) −60.2767 + 39.3792i −0.104647 + 0.0683666i
\(577\) −18.9146 15.8712i −0.0327809 0.0275065i 0.626250 0.779622i \(-0.284589\pi\)
−0.659031 + 0.752116i \(0.729033\pi\)
\(578\) −17.0313 + 145.712i −0.0294659 + 0.252097i
\(579\) 93.5883 185.636i 0.161638 0.320615i
\(580\) −0.753797 2.51786i −0.00129965 0.00434113i
\(581\) 269.761 + 254.507i 0.464305 + 0.438049i
\(582\) 475.249 + 505.291i 0.816579 + 0.868198i
\(583\) 37.5622 50.4548i 0.0644291 0.0865433i
\(584\) 68.1843 + 12.0227i 0.116754 + 0.0205869i
\(585\) −30.9192 271.788i −0.0528533 0.464594i
\(586\) −113.969 646.350i −0.194486 1.10299i
\(587\) −241.714 + 481.293i −0.411779 + 0.819920i 0.588158 + 0.808746i \(0.299853\pi\)
−0.999938 + 0.0111741i \(0.996443\pi\)
\(588\) −88.4530 + 241.863i −0.150430 + 0.411332i
\(589\) −500.012 + 58.4430i −0.848917 + 0.0992241i
\(590\) 6.38394 9.70632i 0.0108202 0.0164514i
\(591\) −11.2094 + 11.8447i −0.0189668 + 0.0200417i
\(592\) −52.2592 + 174.558i −0.0882756 + 0.294861i
\(593\) −332.244 + 191.821i −0.560276 + 0.323476i −0.753256 0.657727i \(-0.771518\pi\)
0.192980 + 0.981203i \(0.438185\pi\)
\(594\) 25.9087 + 52.1883i 0.0436174 + 0.0878591i
\(595\) 31.7945 55.0697i 0.0534361 0.0925541i
\(596\) 218.826 206.452i 0.367158 0.346396i
\(597\) 343.229 + 20.5212i 0.574923 + 0.0343739i
\(598\) 8.16052 140.111i 0.0136463 0.234299i
\(599\) −306.641 132.272i −0.511922 0.220821i 0.124419 0.992230i \(-0.460293\pi\)
−0.636340 + 0.771408i \(0.719553\pi\)
\(600\) 181.663 + 0.279762i 0.302772 + 0.000466271i
\(601\) −48.1542 826.775i −0.0801234 1.37567i −0.763598 0.645692i \(-0.776569\pi\)
0.683475 0.729974i \(-0.260468\pi\)
\(602\) 28.3064 77.7711i 0.0470205 0.129188i
\(603\) 82.2537 + 0.253343i 0.136407 + 0.000420138i
\(604\) −91.8115 + 33.4166i −0.152006 + 0.0553256i
\(605\) −206.483 + 89.0683i −0.341295 + 0.147220i
\(606\) −158.303 118.231i −0.261226 0.195101i
\(607\) 345.424 + 81.8670i 0.569068 + 0.134872i 0.505070 0.863079i \(-0.331467\pi\)
0.0639979 + 0.997950i \(0.479615\pi\)
\(608\) 13.1244 55.3763i 0.0215862 0.0910794i
\(609\) 3.06935 4.10962i 0.00503998 0.00674815i
\(610\) 5.26388 + 12.2031i 0.00862931 + 0.0200050i
\(611\) −199.133 547.114i −0.325914 0.895440i
\(612\) −211.799 123.154i −0.346077 0.201232i
\(613\) 840.800 + 306.026i 1.37162 + 0.499227i 0.919626 0.392796i \(-0.128492\pi\)
0.451990 + 0.892023i \(0.350714\pi\)
\(614\) −111.320 + 6.48364i −0.181303 + 0.0105597i
\(615\) −0.132250 + 85.8760i −0.000215040 + 0.139636i
\(616\) −4.21457 + 9.77047i −0.00684183 + 0.0158611i
\(617\) −302.833 17.6380i −0.490814 0.0285867i −0.189047 0.981968i \(-0.560540\pi\)
−0.301768 + 0.953381i \(0.597577\pi\)
\(618\) −44.7928 + 749.185i −0.0724803 + 1.21227i
\(619\) −30.2957 32.1115i −0.0489429 0.0518765i 0.702440 0.711743i \(-0.252094\pi\)
−0.751382 + 0.659867i \(0.770613\pi\)
\(620\) 164.235 + 94.8210i 0.264895 + 0.152937i
\(621\) −162.376 39.2770i −0.261475 0.0632480i
\(622\) −262.210 454.161i −0.421560 0.730163i
\(623\) −371.539 111.231i −0.596370 0.178542i
\(624\) −139.795 132.298i −0.224031 0.212015i
\(625\) −307.949 202.541i −0.492719 0.324066i
\(626\) 17.1529 + 146.753i 0.0274008 + 0.234429i
\(627\) −43.2526 15.8181i −0.0689835 0.0252283i
\(628\) 234.204 + 117.622i 0.372937 + 0.187296i
\(629\) −610.613 + 107.668i −0.970768 + 0.171173i
\(630\) −35.3615 47.8054i −0.0561293 0.0758815i
\(631\) 10.3597 58.7526i 0.0164179 0.0931103i −0.975498 0.220009i \(-0.929391\pi\)
0.991916 + 0.126899i \(0.0405024\pi\)
\(632\) −42.9798 31.9973i −0.0680061 0.0506286i
\(633\) −593.861 + 558.552i −0.938168 + 0.882389i
\(634\) 323.848 343.259i 0.510801 0.541418i
\(635\) 17.7416 5.31148i 0.0279395 0.00836454i
\(636\) 220.852 + 111.342i 0.347251 + 0.175066i
\(637\) −683.779 79.9223i −1.07344 0.125467i
\(638\) −0.961972 + 1.14643i −0.00150779 + 0.00179692i
\(639\) 350.804 19.3480i 0.548989 0.0302786i
\(640\) −16.4230 + 13.7805i −0.0256609 + 0.0215321i
\(641\) −126.734 192.689i −0.197712 0.300607i 0.723001 0.690847i \(-0.242762\pi\)
−0.920713 + 0.390240i \(0.872392\pi\)
\(642\) −123.670 341.415i −0.192632 0.531799i
\(643\) −422.607 567.660i −0.657243 0.882830i 0.341121 0.940019i \(-0.389193\pi\)
−0.998363 + 0.0571896i \(0.981786\pi\)
\(644\) −13.6924 27.2638i −0.0212615 0.0423351i
\(645\) −80.4138 108.362i −0.124673 0.168004i
\(646\) 188.434 44.6598i 0.291694 0.0691328i
\(647\) 980.517i 1.51548i 0.652555 + 0.757741i \(0.273697\pi\)
−0.652555 + 0.757741i \(0.726303\pi\)
\(648\) −184.608 + 135.676i −0.284889 + 0.209377i
\(649\) −6.61514 −0.0101928
\(650\) 111.993 + 472.536i 0.172297 + 0.726978i
\(651\) 42.4003 + 367.667i 0.0651311 + 0.564773i
\(652\) 358.313 179.952i 0.549561 0.276000i
\(653\) −486.940 + 362.513i −0.745697 + 0.555150i −0.901573 0.432626i \(-0.857587\pi\)
0.155877 + 0.987776i \(0.450180\pi\)
\(654\) −513.997 432.645i −0.785928 0.661537i
\(655\) −98.0844 + 64.5111i −0.149747 + 0.0984902i
\(656\) 38.8405 + 46.2883i 0.0592081 + 0.0705614i
\(657\) 218.739 + 26.2501i 0.332936 + 0.0399544i
\(658\) −96.9543 81.3543i −0.147347 0.123639i
\(659\) 67.8547 580.534i 0.102966 0.880932i −0.838748 0.544519i \(-0.816712\pi\)
0.941715 0.336413i \(-0.109214\pi\)
\(660\) 9.51119 + 14.5097i 0.0144109 + 0.0219844i
\(661\) 280.596 + 937.256i 0.424502 + 1.41794i 0.856540 + 0.516081i \(0.172610\pi\)
−0.432037 + 0.901856i \(0.642205\pi\)
\(662\) 229.313 + 216.346i 0.346395 + 0.326806i
\(663\) 188.806 627.138i 0.284775 0.945910i
\(664\) 254.077 341.284i 0.382646 0.513982i
\(665\) 46.2864 + 8.16153i 0.0696035 + 0.0122730i
\(666\) −135.447 + 563.754i −0.203374 + 0.846477i
\(667\) −0.745114 4.22575i −0.00111711 0.00633546i
\(668\) 280.841 559.200i 0.420421 0.837126i
\(669\) −666.998 797.388i −0.997007 1.19191i
\(670\) 24.3264 2.84334i 0.0363080 0.00424380i
\(671\) 4.15837 6.32249i 0.00619727 0.00942249i
\(672\) −40.6970 9.71157i −0.0605609 0.0144517i
\(673\) 146.842 490.486i 0.218190 0.728806i −0.776881 0.629647i \(-0.783200\pi\)
0.995072 0.0991590i \(-0.0316152\pi\)
\(674\) −609.240 + 351.745i −0.903916 + 0.521876i
\(675\) 577.220 30.9441i 0.855141 0.0458432i
\(676\) 88.2596 152.870i 0.130562 0.226139i
\(677\) 148.515 140.117i 0.219373 0.206967i −0.568708 0.822540i \(-0.692557\pi\)
0.788081 + 0.615572i \(0.211075\pi\)
\(678\) −1.02427 + 1.55211i −0.00151072 + 0.00228925i
\(679\) −23.4380 + 402.415i −0.0345184 + 0.592659i
\(680\) −66.9854 28.8947i −0.0985079 0.0424922i
\(681\) 388.896 + 675.990i 0.571066 + 0.992643i
\(682\) −6.27871 107.801i −0.00920632 0.158066i
\(683\) 212.812 584.696i 0.311584 0.856071i −0.680753 0.732513i \(-0.738347\pi\)
0.992337 0.123558i \(-0.0394305\pi\)
\(684\) 31.9946 178.239i 0.0467758 0.260583i
\(685\) 197.154 71.7583i 0.287817 0.104757i
\(686\) −294.286 + 126.943i −0.428988 + 0.185048i
\(687\) −425.034 + 182.566i −0.618681 + 0.265744i
\(688\) −92.3886 21.8965i −0.134286 0.0318263i
\(689\) −152.476 + 643.348i −0.221301 + 0.933742i
\(690\) −49.3981 5.85094i −0.0715915 0.00847962i
\(691\) 290.492 + 673.436i 0.420394 + 0.974582i 0.988444 + 0.151588i \(0.0484387\pi\)
−0.568050 + 0.822994i \(0.692302\pi\)
\(692\) 183.695 + 504.697i 0.265455 + 0.729331i
\(693\) −11.6782 + 31.7808i −0.0168517 + 0.0458597i
\(694\) −559.203 203.533i −0.805769 0.293276i
\(695\) −343.866 + 20.0279i −0.494772 + 0.0288172i
\(696\) −5.09163 2.95012i −0.00731556 0.00423867i
\(697\) −81.4397 + 188.798i −0.116843 + 0.270873i
\(698\) −86.5928 5.04345i −0.124058 0.00722558i
\(699\) −163.487 + 81.7915i −0.233888 + 0.117012i
\(700\) 72.4436 + 76.7857i 0.103491 + 0.109694i
\(701\) −50.6711 29.2550i −0.0722841 0.0417332i 0.463422 0.886138i \(-0.346621\pi\)
−0.535706 + 0.844404i \(0.679955\pi\)
\(702\) −467.334 395.833i −0.665717 0.563865i
\(703\) −229.142 396.885i −0.325949 0.564559i
\(704\) 11.6946 + 3.50112i 0.0166116 + 0.00497319i
\(705\) −197.780 + 58.8796i −0.280539 + 0.0835172i
\(706\) −743.505 489.011i −1.05312 0.692650i
\(707\) −13.3293 114.039i −0.0188533 0.161301i
\(708\) −4.47731 25.6227i −0.00632388 0.0361903i
\(709\) 1098.95 + 551.914i 1.55000 + 0.778440i 0.998448 0.0556996i \(-0.0177389\pi\)
0.551554 + 0.834139i \(0.314035\pi\)
\(710\) 103.025 18.1660i 0.145105 0.0255860i
\(711\) −142.160 94.1289i −0.199944 0.132389i
\(712\) −77.2622 + 438.175i −0.108514 + 0.615415i
\(713\) 248.346 + 184.887i 0.348312 + 0.259309i
\(714\) −32.6198 138.585i −0.0456861 0.194096i
\(715\) −31.8266 + 33.7342i −0.0445127 + 0.0471807i
\(716\) 387.658 116.057i 0.541422 0.162091i
\(717\) −0.888693 15.6741i −0.00123946 0.0218606i
\(718\) −7.22245 0.844184i −0.0100591 0.00117574i
\(719\) 705.205 840.430i 0.980813 1.16889i −0.00482029 0.999988i \(-0.501534\pi\)
0.985633 0.168899i \(-0.0540212\pi\)
\(720\) −49.7636 + 46.6607i −0.0691161 + 0.0648065i
\(721\) −334.098 + 280.341i −0.463381 + 0.388823i
\(722\) −201.887 306.955i −0.279622 0.425145i
\(723\) 262.308 + 46.6685i 0.362804 + 0.0645485i
\(724\) 218.292 + 293.217i 0.301509 + 0.404996i
\(725\) 6.66346 + 13.2680i 0.00919098 + 0.0183007i
\(726\) −200.130 + 461.996i −0.275662 + 0.636359i
\(727\) −1073.14 + 254.338i −1.47612 + 0.349846i −0.888344 0.459179i \(-0.848144\pi\)
−0.587774 + 0.809026i \(0.699995\pi\)
\(728\) 111.847i 0.153635i
\(729\) −562.752 + 463.412i −0.771951 + 0.635682i
\(730\) 65.5989 0.0898615
\(731\) −74.5094 314.380i −0.101928 0.430068i
\(732\) 27.3037 + 11.8276i 0.0373002 + 0.0161579i
\(733\) 710.178 356.665i 0.968865 0.486582i 0.107299 0.994227i \(-0.465780\pi\)
0.861567 + 0.507644i \(0.169484\pi\)
\(734\) 818.549 609.387i 1.11519 0.830227i
\(735\) −42.7403 + 240.229i −0.0581501 + 0.326842i
\(736\) −29.2429 + 19.2334i −0.0397322 + 0.0261323i
\(737\) −8.96429 10.6832i −0.0121632 0.0144956i
\(738\) 131.513 + 140.259i 0.178202 + 0.190053i
\(739\) −120.402 101.029i −0.162926 0.136711i 0.557680 0.830056i \(-0.311692\pi\)
−0.720606 + 0.693345i \(0.756136\pi\)
\(740\) −20.0423 + 171.473i −0.0270842 + 0.231720i
\(741\) 483.310 27.4029i 0.652241 0.0369809i
\(742\) 41.2210 + 137.688i 0.0555539 + 0.185563i
\(743\) −1004.20 947.411i −1.35154 1.27512i −0.929637 0.368476i \(-0.879880\pi\)
−0.421907 0.906639i \(-0.638639\pi\)
\(744\) 413.302 97.2825i 0.555514 0.130756i
\(745\) 170.214 228.637i 0.228475 0.306896i
\(746\) −440.675 77.7029i −0.590717 0.104159i
\(747\) 747.437 1128.83i 1.00058 1.51116i
\(748\) 7.21323 + 40.9083i 0.00964336 + 0.0546902i
\(749\) 94.7026 188.568i 0.126439 0.251760i
\(750\) 367.539 64.2236i 0.490052 0.0856314i
\(751\) 549.930 64.2776i 0.732263 0.0855893i 0.258214 0.966088i \(-0.416866\pi\)
0.474049 + 0.880498i \(0.342792\pi\)
\(752\) −79.7886 + 121.313i −0.106102 + 0.161320i
\(753\) −338.068 1135.59i −0.448962 1.50809i
\(754\) 4.51161 15.0698i 0.00598357 0.0199865i
\(755\) −80.1688 + 46.2855i −0.106184 + 0.0613053i
\(756\) −131.002 23.7238i −0.173283 0.0313807i
\(757\) −351.435 + 608.704i −0.464248 + 0.804100i −0.999167 0.0408026i \(-0.987009\pi\)
0.534920 + 0.844903i \(0.320342\pi\)
\(758\) −18.0967 + 17.0734i −0.0238743 + 0.0225242i
\(759\) 12.6730 + 25.3311i 0.0166969 + 0.0333744i
\(760\) 3.13520 53.8294i 0.00412527 0.0708281i
\(761\) 1296.90 + 559.427i 1.70420 + 0.735120i 0.999676 + 0.0254402i \(0.00809874\pi\)
0.704524 + 0.709680i \(0.251161\pi\)
\(762\) 20.7874 35.8771i 0.0272801 0.0470829i
\(763\) −22.7005 389.753i −0.0297516 0.510816i
\(764\) −39.4502 + 108.389i −0.0516364 + 0.141870i
\(765\) −217.886 80.0648i −0.284818 0.104660i
\(766\) −479.822 + 174.641i −0.626399 + 0.227991i
\(767\) 63.8464 27.5406i 0.0832417 0.0359070i
\(768\) −5.64587 + 47.6668i −0.00735140 + 0.0620661i
\(769\) −488.741 115.834i −0.635554 0.150629i −0.0998059 0.995007i \(-0.531822\pi\)
−0.535748 + 0.844378i \(0.679970\pi\)
\(770\) −2.32500 + 9.80995i −0.00301948 + 0.0127402i
\(771\) −580.392