Properties

Label 273.2.bh.a.131.1
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.1
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.34239 - 1.35238i) q^{2} +(-1.69032 + 0.377930i) q^{3} +(2.65786 + 4.60354i) q^{4} +(0.200745 - 0.347701i) q^{5} +(4.47048 + 1.40069i) q^{6} +(-0.906582 - 2.48558i) q^{7} -8.96820i q^{8} +(2.71434 - 1.27764i) q^{9} +O(q^{10})\) \(q+(-2.34239 - 1.35238i) q^{2} +(-1.69032 + 0.377930i) q^{3} +(2.65786 + 4.60354i) q^{4} +(0.200745 - 0.347701i) q^{5} +(4.47048 + 1.40069i) q^{6} +(-0.906582 - 2.48558i) q^{7} -8.96820i q^{8} +(2.71434 - 1.27764i) q^{9} +(-0.940448 + 0.542968i) q^{10} +(-3.04703 + 1.75920i) q^{11} +(-6.23243 - 6.77696i) q^{12} +1.00000i q^{13} +(-1.23788 + 7.04824i) q^{14} +(-0.207917 + 0.663593i) q^{15} +(-6.81269 + 11.7999i) q^{16} +(-0.0332237 - 0.0575451i) q^{17} +(-8.08589 - 0.678079i) q^{18} +(-2.52377 - 1.45710i) q^{19} +2.13421 q^{20} +(2.47178 + 3.85879i) q^{21} +9.51644 q^{22} +(-0.737839 - 0.425992i) q^{23} +(3.38935 + 15.1591i) q^{24} +(2.41940 + 4.19053i) q^{25} +(1.35238 - 2.34239i) q^{26} +(-4.10523 + 3.18545i) q^{27} +(9.03291 - 10.7798i) q^{28} +9.90320i q^{29} +(1.38445 - 1.27321i) q^{30} +(2.11213 - 1.21944i) q^{31} +(16.3826 - 9.45847i) q^{32} +(4.48559 - 4.12518i) q^{33} +0.179724i q^{34} +(-1.04623 - 0.183749i) q^{35} +(13.0960 + 9.09978i) q^{36} +(-4.65384 + 8.06069i) q^{37} +(3.94110 + 6.82619i) q^{38} +(-0.377930 - 1.69032i) q^{39} +(-3.11826 - 1.80033i) q^{40} -6.50051 q^{41} +(-0.571332 - 12.3816i) q^{42} -6.02083 q^{43} +(-16.1971 - 9.35143i) q^{44} +(0.100653 - 1.20026i) q^{45} +(1.15220 + 1.99568i) q^{46} +(-2.16223 + 3.74509i) q^{47} +(7.05606 - 22.5203i) q^{48} +(-5.35622 + 4.50676i) q^{49} -13.0878i q^{50} +(0.0779066 + 0.0847132i) q^{51} +(-4.60354 + 2.65786i) q^{52} +(1.56326 - 0.902551i) q^{53} +(13.9240 - 1.90973i) q^{54} +1.41261i q^{55} +(-22.2912 + 8.13041i) q^{56} +(4.81665 + 1.50915i) q^{57} +(13.3929 - 23.1971i) q^{58} +(6.29345 + 10.9006i) q^{59} +(-3.60749 + 0.806582i) q^{60} +(-7.44109 - 4.29612i) q^{61} -6.59657 q^{62} +(-5.63645 - 5.58842i) q^{63} -23.9150 q^{64} +(0.347701 + 0.200745i) q^{65} +(-16.0858 + 3.59655i) q^{66} +(-3.47158 - 6.01294i) q^{67} +(0.176608 - 0.305893i) q^{68} +(1.40818 + 0.441209i) q^{69} +(2.20218 + 1.84531i) q^{70} +6.81783i q^{71} +(-11.4581 - 24.3427i) q^{72} +(5.90111 - 3.40701i) q^{73} +(21.8022 - 12.5875i) q^{74} +(-5.67328 - 6.16895i) q^{75} -15.4911i q^{76} +(7.13503 + 5.97878i) q^{77} +(-1.40069 + 4.47048i) q^{78} +(-0.362637 + 0.628106i) q^{79} +(2.73523 + 4.73756i) q^{80} +(5.73526 - 6.93590i) q^{81} +(15.2267 + 8.79115i) q^{82} -9.37638 q^{83} +(-11.1945 + 21.6351i) q^{84} -0.0266780 q^{85} +(14.1031 + 8.14244i) q^{86} +(-3.74272 - 16.7395i) q^{87} +(15.7769 + 27.3264i) q^{88} +(8.24234 - 14.2762i) q^{89} +(-1.85897 + 2.67535i) q^{90} +(2.48558 - 0.906582i) q^{91} -4.52890i q^{92} +(-3.10930 + 2.85947i) q^{93} +(10.1296 - 5.84831i) q^{94} +(-1.01327 + 0.585013i) q^{95} +(-24.1171 + 22.1793i) q^{96} +12.3400i q^{97} +(18.6412 - 3.31295i) q^{98} +(-6.02304 + 8.66809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.34239 1.35238i −1.65632 0.956276i −0.974392 0.224856i \(-0.927809\pi\)
−0.681927 0.731420i \(-0.738858\pi\)
\(3\) −1.69032 + 0.377930i −0.975905 + 0.218198i
\(4\) 2.65786 + 4.60354i 1.32893 + 2.30177i
\(5\) 0.200745 0.347701i 0.0897761 0.155497i −0.817640 0.575729i \(-0.804718\pi\)
0.907416 + 0.420233i \(0.138052\pi\)
\(6\) 4.47048 + 1.40069i 1.82507 + 0.571829i
\(7\) −0.906582 2.48558i −0.342656 0.939461i
\(8\) 8.96820i 3.17074i
\(9\) 2.71434 1.27764i 0.904779 0.425881i
\(10\) −0.940448 + 0.542968i −0.297396 + 0.171702i
\(11\) −3.04703 + 1.75920i −0.918715 + 0.530420i −0.883225 0.468950i \(-0.844632\pi\)
−0.0354898 + 0.999370i \(0.511299\pi\)
\(12\) −6.23243 6.77696i −1.79915 1.95634i
\(13\) 1.00000i 0.277350i
\(14\) −1.23788 + 7.04824i −0.330837 + 1.88372i
\(15\) −0.207917 + 0.663593i −0.0536838 + 0.171339i
\(16\) −6.81269 + 11.7999i −1.70317 + 2.94998i
\(17\) −0.0332237 0.0575451i −0.00805793 0.0139567i 0.861968 0.506962i \(-0.169232\pi\)
−0.870026 + 0.493005i \(0.835898\pi\)
\(18\) −8.08589 0.678079i −1.90586 0.159825i
\(19\) −2.52377 1.45710i −0.578993 0.334282i 0.181740 0.983347i \(-0.441827\pi\)
−0.760733 + 0.649065i \(0.775160\pi\)
\(20\) 2.13421 0.477224
\(21\) 2.47178 + 3.85879i 0.539388 + 0.842058i
\(22\) 9.51644 2.02891
\(23\) −0.737839 0.425992i −0.153850 0.0888254i 0.421099 0.907015i \(-0.361645\pi\)
−0.574949 + 0.818189i \(0.694978\pi\)
\(24\) 3.38935 + 15.1591i 0.691848 + 3.09434i
\(25\) 2.41940 + 4.19053i 0.483881 + 0.838106i
\(26\) 1.35238 2.34239i 0.265223 0.459380i
\(27\) −4.10523 + 3.18545i −0.790052 + 0.613040i
\(28\) 9.03291 10.7798i 1.70706 2.03719i
\(29\) 9.90320i 1.83898i 0.393116 + 0.919489i \(0.371397\pi\)
−0.393116 + 0.919489i \(0.628603\pi\)
\(30\) 1.38445 1.27321i 0.252765 0.232455i
\(31\) 2.11213 1.21944i 0.379349 0.219017i −0.298186 0.954508i \(-0.596381\pi\)
0.677535 + 0.735490i \(0.263048\pi\)
\(32\) 16.3826 9.45847i 2.89605 1.67204i
\(33\) 4.48559 4.12518i 0.780841 0.718101i
\(34\) 0.179724i 0.0308224i
\(35\) −1.04623 0.183749i −0.176845 0.0310593i
\(36\) 13.0960 + 9.09978i 2.18267 + 1.51663i
\(37\) −4.65384 + 8.06069i −0.765087 + 1.32517i 0.175114 + 0.984548i \(0.443971\pi\)
−0.940201 + 0.340621i \(0.889363\pi\)
\(38\) 3.94110 + 6.82619i 0.639331 + 1.10735i
\(39\) −0.377930 1.69032i −0.0605172 0.270667i
\(40\) −3.11826 1.80033i −0.493039 0.284656i
\(41\) −6.50051 −1.01521 −0.507604 0.861590i \(-0.669469\pi\)
−0.507604 + 0.861590i \(0.669469\pi\)
\(42\) −0.571332 12.3816i −0.0881584 1.91052i
\(43\) −6.02083 −0.918168 −0.459084 0.888393i \(-0.651822\pi\)
−0.459084 + 0.888393i \(0.651822\pi\)
\(44\) −16.1971 9.35143i −2.44181 1.40978i
\(45\) 0.100653 1.20026i 0.0150045 0.178924i
\(46\) 1.15220 + 1.99568i 0.169883 + 0.294246i
\(47\) −2.16223 + 3.74509i −0.315394 + 0.546278i −0.979521 0.201341i \(-0.935470\pi\)
0.664127 + 0.747620i \(0.268803\pi\)
\(48\) 7.05606 22.5203i 1.01845 3.25053i
\(49\) −5.35622 + 4.50676i −0.765174 + 0.643823i
\(50\) 13.0878i 1.85089i
\(51\) 0.0779066 + 0.0847132i 0.0109091 + 0.0118622i
\(52\) −4.60354 + 2.65786i −0.638396 + 0.368578i
\(53\) 1.56326 0.902551i 0.214731 0.123975i −0.388777 0.921332i \(-0.627102\pi\)
0.603508 + 0.797357i \(0.293769\pi\)
\(54\) 13.9240 1.90973i 1.89481 0.259882i
\(55\) 1.41261i 0.190476i
\(56\) −22.2912 + 8.13041i −2.97878 + 1.08647i
\(57\) 4.81665 + 1.50915i 0.637981 + 0.199892i
\(58\) 13.3929 23.1971i 1.75857 3.04593i
\(59\) 6.29345 + 10.9006i 0.819337 + 1.41913i 0.906171 + 0.422910i \(0.138992\pi\)
−0.0868346 + 0.996223i \(0.527675\pi\)
\(60\) −3.60749 + 0.806582i −0.465725 + 0.104129i
\(61\) −7.44109 4.29612i −0.952734 0.550061i −0.0588049 0.998269i \(-0.518729\pi\)
−0.893929 + 0.448208i \(0.852062\pi\)
\(62\) −6.59657 −0.837765
\(63\) −5.63645 5.58842i −0.710126 0.704075i
\(64\) −23.9150 −2.98937
\(65\) 0.347701 + 0.200745i 0.0431270 + 0.0248994i
\(66\) −16.0858 + 3.59655i −1.98002 + 0.442704i
\(67\) −3.47158 6.01294i −0.424120 0.734598i 0.572217 0.820102i \(-0.306083\pi\)
−0.996338 + 0.0855039i \(0.972750\pi\)
\(68\) 0.176608 0.305893i 0.0214168 0.0370950i
\(69\) 1.40818 + 0.441209i 0.169525 + 0.0531154i
\(70\) 2.20218 + 1.84531i 0.263211 + 0.220557i
\(71\) 6.81783i 0.809128i 0.914510 + 0.404564i \(0.132577\pi\)
−0.914510 + 0.404564i \(0.867423\pi\)
\(72\) −11.4581 24.3427i −1.35036 2.86882i
\(73\) 5.90111 3.40701i 0.690673 0.398760i −0.113191 0.993573i \(-0.536107\pi\)
0.803864 + 0.594813i \(0.202774\pi\)
\(74\) 21.8022 12.5875i 2.53446 1.46327i
\(75\) −5.67328 6.16895i −0.655094 0.712329i
\(76\) 15.4911i 1.77695i
\(77\) 7.13503 + 5.97878i 0.813112 + 0.681345i
\(78\) −1.40069 + 4.47048i −0.158597 + 0.506182i
\(79\) −0.362637 + 0.628106i −0.0407998 + 0.0706674i −0.885704 0.464250i \(-0.846324\pi\)
0.844904 + 0.534917i \(0.179657\pi\)
\(80\) 2.73523 + 4.73756i 0.305808 + 0.529676i
\(81\) 5.73526 6.93590i 0.637251 0.770656i
\(82\) 15.2267 + 8.79115i 1.68151 + 0.970820i
\(83\) −9.37638 −1.02919 −0.514596 0.857433i \(-0.672058\pi\)
−0.514596 + 0.857433i \(0.672058\pi\)
\(84\) −11.1945 + 21.6351i −1.22142 + 2.36058i
\(85\) −0.0266780 −0.00289364
\(86\) 14.1031 + 8.14244i 1.52078 + 0.878022i
\(87\) −3.74272 16.7395i −0.401261 1.79467i
\(88\) 15.7769 + 27.3264i 1.68182 + 2.91300i
\(89\) 8.24234 14.2762i 0.873687 1.51327i 0.0155318 0.999879i \(-0.495056\pi\)
0.858155 0.513391i \(-0.171611\pi\)
\(90\) −1.85897 + 2.67535i −0.195953 + 0.282007i
\(91\) 2.48558 0.906582i 0.260560 0.0950356i
\(92\) 4.52890i 0.472170i
\(93\) −3.10930 + 2.85947i −0.322420 + 0.296513i
\(94\) 10.1296 5.84831i 1.04479 0.603207i
\(95\) −1.01327 + 0.585013i −0.103959 + 0.0600210i
\(96\) −24.1171 + 22.1793i −2.46144 + 2.26366i
\(97\) 12.3400i 1.25293i 0.779448 + 0.626466i \(0.215499\pi\)
−0.779448 + 0.626466i \(0.784501\pi\)
\(98\) 18.6412 3.31295i 1.88305 0.334659i
\(99\) −6.02304 + 8.66809i −0.605338 + 0.871176i
\(100\) −12.8608 + 22.2756i −1.28608 + 2.22756i
\(101\) −8.01945 13.8901i −0.797965 1.38212i −0.920939 0.389706i \(-0.872577\pi\)
0.122974 0.992410i \(-0.460757\pi\)
\(102\) −0.0679231 0.303791i −0.00672539 0.0300797i
\(103\) −8.39412 4.84635i −0.827097 0.477525i 0.0257607 0.999668i \(-0.491799\pi\)
−0.852858 + 0.522143i \(0.825133\pi\)
\(104\) 8.96820 0.879404
\(105\) 1.83791 0.0848078i 0.179361 0.00827640i
\(106\) −4.88236 −0.474217
\(107\) 13.5726 + 7.83617i 1.31212 + 0.757551i 0.982446 0.186545i \(-0.0597291\pi\)
0.329670 + 0.944096i \(0.393062\pi\)
\(108\) −25.5755 10.4321i −2.46100 1.00383i
\(109\) 1.48964 + 2.58013i 0.142682 + 0.247132i 0.928506 0.371318i \(-0.121094\pi\)
−0.785824 + 0.618450i \(0.787761\pi\)
\(110\) 1.91038 3.30888i 0.182148 0.315489i
\(111\) 4.82009 15.3839i 0.457503 1.46018i
\(112\) 35.5059 + 6.23589i 3.35499 + 0.589236i
\(113\) 2.24305i 0.211008i −0.994419 0.105504i \(-0.966354\pi\)
0.994419 0.105504i \(-0.0336456\pi\)
\(114\) −9.24153 10.0490i −0.865549 0.941171i
\(115\) −0.296236 + 0.171032i −0.0276241 + 0.0159488i
\(116\) −45.5898 + 26.3213i −4.23291 + 2.44387i
\(117\) 1.27764 + 2.71434i 0.118118 + 0.250941i
\(118\) 34.0445i 3.13405i
\(119\) −0.112913 + 0.134750i −0.0103507 + 0.0123525i
\(120\) 5.95123 + 1.86464i 0.543271 + 0.170217i
\(121\) 0.689601 1.19442i 0.0626910 0.108584i
\(122\) 11.6200 + 20.1263i 1.05202 + 1.82215i
\(123\) 10.9879 2.45674i 0.990747 0.221516i
\(124\) 11.2275 + 6.48218i 1.00826 + 0.582117i
\(125\) 3.95019 0.353316
\(126\) 5.64510 + 20.7129i 0.502906 + 1.84525i
\(127\) −0.258579 −0.0229451 −0.0114726 0.999934i \(-0.503652\pi\)
−0.0114726 + 0.999934i \(0.503652\pi\)
\(128\) 23.2531 + 13.4252i 2.05530 + 1.18663i
\(129\) 10.1771 2.27545i 0.896044 0.200342i
\(130\) −0.542968 0.940448i −0.0476214 0.0824827i
\(131\) 6.61855 11.4637i 0.578265 1.00158i −0.417413 0.908717i \(-0.637063\pi\)
0.995678 0.0928679i \(-0.0296034\pi\)
\(132\) 30.9125 + 9.68548i 2.69059 + 0.843013i
\(133\) −1.33373 + 7.59402i −0.115649 + 0.658485i
\(134\) 18.7795i 1.62230i
\(135\) 0.283478 + 2.06686i 0.0243979 + 0.177887i
\(136\) −0.516076 + 0.297957i −0.0442532 + 0.0255496i
\(137\) −3.88727 + 2.24432i −0.332112 + 0.191745i −0.656778 0.754084i \(-0.728081\pi\)
0.324667 + 0.945829i \(0.394748\pi\)
\(138\) −2.70182 2.93787i −0.229994 0.250088i
\(139\) 0.860445i 0.0729820i −0.999334 0.0364910i \(-0.988382\pi\)
0.999334 0.0364910i \(-0.0116180\pi\)
\(140\) −1.93484 5.30475i −0.163524 0.448333i
\(141\) 2.23947 7.14757i 0.188598 0.601934i
\(142\) 9.22029 15.9700i 0.773750 1.34017i
\(143\) −1.75920 3.04703i −0.147112 0.254806i
\(144\) −3.41586 + 40.7332i −0.284655 + 3.39443i
\(145\) 3.44336 + 1.98802i 0.285955 + 0.165096i
\(146\) −18.4303 −1.52530
\(147\) 7.35046 9.64213i 0.606256 0.795270i
\(148\) −49.4770 −4.06698
\(149\) 8.42600 + 4.86475i 0.690285 + 0.398536i 0.803719 0.595009i \(-0.202852\pi\)
−0.113434 + 0.993546i \(0.536185\pi\)
\(150\) 4.94627 + 22.1225i 0.403861 + 1.80630i
\(151\) 0.157225 + 0.272322i 0.0127948 + 0.0221612i 0.872352 0.488878i \(-0.162594\pi\)
−0.859557 + 0.511040i \(0.829261\pi\)
\(152\) −13.0676 + 22.6337i −1.05992 + 1.83583i
\(153\) −0.163702 0.113749i −0.0132346 0.00919606i
\(154\) −8.62743 23.6539i −0.695218 1.90608i
\(155\) 0.979186i 0.0786501i
\(156\) 6.77696 6.23243i 0.542591 0.498994i
\(157\) 0.292137 0.168665i 0.0233150 0.0134609i −0.488297 0.872677i \(-0.662382\pi\)
0.511612 + 0.859216i \(0.329048\pi\)
\(158\) 1.69887 0.980845i 0.135155 0.0780318i
\(159\) −2.30131 + 2.11640i −0.182506 + 0.167841i
\(160\) 7.59498i 0.600436i
\(161\) −0.389925 + 2.22016i −0.0307304 + 0.174973i
\(162\) −22.8142 + 8.49034i −1.79245 + 0.667064i
\(163\) −4.86769 + 8.43109i −0.381267 + 0.660374i −0.991244 0.132045i \(-0.957846\pi\)
0.609977 + 0.792419i \(0.291179\pi\)
\(164\) −17.2774 29.9254i −1.34914 2.33678i
\(165\) −0.533867 2.38776i −0.0415615 0.185887i
\(166\) 21.9631 + 12.6804i 1.70467 + 0.984191i
\(167\) −21.1951 −1.64012 −0.820061 0.572276i \(-0.806061\pi\)
−0.820061 + 0.572276i \(0.806061\pi\)
\(168\) 34.6064 22.1675i 2.66994 1.71026i
\(169\) −1.00000 −0.0769231
\(170\) 0.0624903 + 0.0360788i 0.00479279 + 0.00276712i
\(171\) −8.71202 0.730586i −0.666225 0.0558693i
\(172\) −16.0025 27.7171i −1.22018 2.11341i
\(173\) −1.39456 + 2.41545i −0.106026 + 0.183643i −0.914157 0.405360i \(-0.867146\pi\)
0.808131 + 0.589003i \(0.200479\pi\)
\(174\) −13.8713 + 44.2721i −1.05158 + 3.35626i
\(175\) 8.22251 9.81268i 0.621563 0.741769i
\(176\) 47.9397i 3.61359i
\(177\) −14.7576 16.0469i −1.10925 1.20616i
\(178\) −38.6136 + 22.2935i −2.89421 + 1.67097i
\(179\) −6.40708 + 3.69913i −0.478887 + 0.276486i −0.719953 0.694023i \(-0.755837\pi\)
0.241065 + 0.970509i \(0.422503\pi\)
\(180\) 5.79297 2.72676i 0.431782 0.203241i
\(181\) 6.75312i 0.501955i 0.967993 + 0.250978i \(0.0807520\pi\)
−0.967993 + 0.250978i \(0.919248\pi\)
\(182\) −7.04824 1.23788i −0.522450 0.0917577i
\(183\) 14.2014 + 4.44958i 1.04980 + 0.328923i
\(184\) −3.82038 + 6.61709i −0.281642 + 0.487818i
\(185\) 1.86848 + 3.23629i 0.137373 + 0.237937i
\(186\) 11.1503 2.49304i 0.817578 0.182799i
\(187\) 0.202467 + 0.116895i 0.0148059 + 0.00854818i
\(188\) −22.9876 −1.67654
\(189\) 11.6394 + 7.31601i 0.846643 + 0.532161i
\(190\) 3.16463 0.229587
\(191\) −2.73421 1.57860i −0.197840 0.114223i 0.397807 0.917469i \(-0.369771\pi\)
−0.595648 + 0.803246i \(0.703105\pi\)
\(192\) 40.4239 9.03819i 2.91734 0.652275i
\(193\) 7.89553 + 13.6755i 0.568332 + 0.984381i 0.996731 + 0.0807909i \(0.0257446\pi\)
−0.428399 + 0.903590i \(0.640922\pi\)
\(194\) 16.6883 28.9050i 1.19815 2.07526i
\(195\) −0.663593 0.207917i −0.0475209 0.0148892i
\(196\) −34.9831 12.6793i −2.49880 0.905661i
\(197\) 1.27729i 0.0910034i −0.998964 0.0455017i \(-0.985511\pi\)
0.998964 0.0455017i \(-0.0144887\pi\)
\(198\) 25.8308 12.1586i 1.83572 0.864075i
\(199\) −1.67557 + 0.967389i −0.118778 + 0.0685764i −0.558212 0.829698i \(-0.688512\pi\)
0.439434 + 0.898275i \(0.355179\pi\)
\(200\) 37.5815 21.6977i 2.65741 1.53426i
\(201\) 8.14053 + 8.85177i 0.574189 + 0.624355i
\(202\) 43.3813i 3.05230i
\(203\) 24.6152 8.97806i 1.72765 0.630136i
\(204\) −0.182917 + 0.583802i −0.0128067 + 0.0408743i
\(205\) −1.30495 + 2.26024i −0.0911415 + 0.157862i
\(206\) 13.1082 + 22.7041i 0.913291 + 1.58187i
\(207\) −2.54701 0.213591i −0.177029 0.0148456i
\(208\) −11.7999 6.81269i −0.818178 0.472375i
\(209\) 10.2533 0.709239
\(210\) −4.41979 2.28689i −0.304994 0.157811i
\(211\) 13.4977 0.929219 0.464609 0.885516i \(-0.346195\pi\)
0.464609 + 0.885516i \(0.346195\pi\)
\(212\) 8.30986 + 4.79770i 0.570724 + 0.329508i
\(213\) −2.57666 11.5243i −0.176550 0.789632i
\(214\) −21.1949 36.7107i −1.44886 2.50949i
\(215\) −1.20865 + 2.09345i −0.0824295 + 0.142772i
\(216\) 28.5677 + 36.8165i 1.94379 + 2.50505i
\(217\) −4.94583 4.14434i −0.335745 0.281336i
\(218\) 8.05823i 0.545772i
\(219\) −8.68713 + 7.98913i −0.587022 + 0.539855i
\(220\) −6.50301 + 3.75451i −0.438433 + 0.253129i
\(221\) 0.0575451 0.0332237i 0.00387090 0.00223487i
\(222\) −32.0954 + 29.5166i −2.15410 + 1.98102i
\(223\) 5.68282i 0.380550i −0.981731 0.190275i \(-0.939062\pi\)
0.981731 0.190275i \(-0.0609379\pi\)
\(224\) −38.3619 32.1453i −2.56316 2.14780i
\(225\) 11.9211 + 8.28338i 0.794738 + 0.552225i
\(226\) −3.03345 + 5.25408i −0.201782 + 0.349496i
\(227\) −7.99291 13.8441i −0.530508 0.918867i −0.999366 0.0355939i \(-0.988668\pi\)
0.468858 0.883274i \(-0.344666\pi\)
\(228\) 5.85453 + 26.1848i 0.387726 + 1.73413i
\(229\) −17.8595 10.3112i −1.18019 0.681381i −0.224129 0.974559i \(-0.571954\pi\)
−0.956058 + 0.293178i \(0.905287\pi\)
\(230\) 0.925199 0.0610058
\(231\) −14.3200 7.40949i −0.942188 0.487508i
\(232\) 88.8139 5.83092
\(233\) −11.3030 6.52578i −0.740483 0.427518i 0.0817617 0.996652i \(-0.473945\pi\)
−0.822245 + 0.569134i \(0.807279\pi\)
\(234\) 0.678079 8.08589i 0.0443274 0.528591i
\(235\) 0.868116 + 1.50362i 0.0566297 + 0.0980855i
\(236\) −33.4542 + 57.9443i −2.17768 + 3.77185i
\(237\) 0.375591 1.19875i 0.0243973 0.0778671i
\(238\) 0.446719 0.162935i 0.0289565 0.0105615i
\(239\) 12.3592i 0.799453i −0.916635 0.399726i \(-0.869105\pi\)
0.916635 0.399726i \(-0.130895\pi\)
\(240\) −6.41388 6.97425i −0.414014 0.450186i
\(241\) 19.9006 11.4896i 1.28191 0.740111i 0.304713 0.952444i \(-0.401440\pi\)
0.977197 + 0.212333i \(0.0681063\pi\)
\(242\) −3.23062 + 1.86520i −0.207672 + 0.119900i
\(243\) −7.07312 + 13.8914i −0.453741 + 0.891134i
\(244\) 45.6738i 2.92397i
\(245\) 0.491771 + 2.76708i 0.0314181 + 0.176782i
\(246\) −29.0604 9.10519i −1.85282 0.580526i
\(247\) 1.45710 2.52377i 0.0927131 0.160584i
\(248\) −10.9362 18.9420i −0.694447 1.20282i
\(249\) 15.8490 3.54361i 1.00439 0.224567i
\(250\) −9.25288 5.34215i −0.585204 0.337868i
\(251\) −16.8596 −1.06417 −0.532084 0.846692i \(-0.678591\pi\)
−0.532084 + 0.846692i \(0.678591\pi\)
\(252\) 10.7456 40.8009i 0.676912 2.57021i
\(253\) 2.99763 0.188459
\(254\) 0.605692 + 0.349696i 0.0380045 + 0.0219419i
\(255\) 0.0450943 0.0100824i 0.00282391 0.000631386i
\(256\) −12.3969 21.4720i −0.774805 1.34200i
\(257\) −3.73837 + 6.47505i −0.233193 + 0.403902i −0.958746 0.284264i \(-0.908251\pi\)
0.725553 + 0.688166i \(0.241584\pi\)
\(258\) −26.9160 8.43331i −1.67572 0.525035i
\(259\) 24.2546 + 4.25982i 1.50711 + 0.264693i
\(260\) 2.13421i 0.132358i
\(261\) 12.6527 + 26.8806i 0.783185 + 1.66387i
\(262\) −31.0064 + 17.9016i −1.91558 + 1.10596i
\(263\) 8.68033 5.01159i 0.535252 0.309028i −0.207900 0.978150i \(-0.566663\pi\)
0.743153 + 0.669122i \(0.233330\pi\)
\(264\) −36.9954 40.2277i −2.27691 2.47584i
\(265\) 0.724732i 0.0445199i
\(266\) 13.3941 15.9844i 0.821246 0.980068i
\(267\) −8.53678 + 27.2463i −0.522443 + 1.66744i
\(268\) 18.4539 31.9631i 1.12725 1.95246i
\(269\) 5.00301 + 8.66547i 0.305039 + 0.528343i 0.977270 0.211998i \(-0.0679971\pi\)
−0.672231 + 0.740342i \(0.734664\pi\)
\(270\) 2.13116 5.22476i 0.129698 0.317969i
\(271\) −12.3135 7.10923i −0.747994 0.431855i 0.0769743 0.997033i \(-0.475474\pi\)
−0.824969 + 0.565178i \(0.808807\pi\)
\(272\) 0.905371 0.0548962
\(273\) −3.85879 + 2.47178i −0.233545 + 0.149599i
\(274\) 12.1407 0.733444
\(275\) −14.7440 8.51245i −0.889096 0.513320i
\(276\) 1.71161 + 7.65527i 0.103027 + 0.460793i
\(277\) −1.52470 2.64085i −0.0916101 0.158673i 0.816579 0.577234i \(-0.195868\pi\)
−0.908189 + 0.418561i \(0.862535\pi\)
\(278\) −1.16365 + 2.01550i −0.0697909 + 0.120881i
\(279\) 4.17502 6.00851i 0.249952 0.359720i
\(280\) −1.64790 + 9.38282i −0.0984809 + 0.560731i
\(281\) 0.650678i 0.0388162i 0.999812 + 0.0194081i \(0.00617818\pi\)
−0.999812 + 0.0194081i \(0.993822\pi\)
\(282\) −14.9119 + 13.7138i −0.887993 + 0.816643i
\(283\) −12.9136 + 7.45569i −0.767636 + 0.443195i −0.832031 0.554730i \(-0.812822\pi\)
0.0643945 + 0.997925i \(0.479488\pi\)
\(284\) −31.3862 + 18.1208i −1.86243 + 1.07527i
\(285\) 1.49166 1.37180i 0.0883580 0.0812585i
\(286\) 9.51644i 0.562719i
\(287\) 5.89324 + 16.1575i 0.347867 + 0.953749i
\(288\) 32.3833 46.6045i 1.90820 2.74620i
\(289\) 8.49779 14.7186i 0.499870 0.865800i
\(290\) −5.37712 9.31344i −0.315755 0.546904i
\(291\) −4.66364 20.8584i −0.273387 1.22274i
\(292\) 31.3686 + 18.1107i 1.83571 + 1.05985i
\(293\) 7.99990 0.467359 0.233680 0.972314i \(-0.424923\pi\)
0.233680 + 0.972314i \(0.424923\pi\)
\(294\) −30.2575 + 12.6450i −1.76465 + 0.737472i
\(295\) 5.05352 0.294228
\(296\) 72.2899 + 41.7366i 4.20176 + 2.42589i
\(297\) 6.90491 16.9281i 0.400664 0.982268i
\(298\) −13.1580 22.7903i −0.762221 1.32021i
\(299\) 0.425992 0.737839i 0.0246357 0.0426704i
\(300\) 13.3203 42.5134i 0.769046 2.45451i
\(301\) 5.45837 + 14.9653i 0.314615 + 0.862583i
\(302\) 0.850512i 0.0489414i
\(303\) 18.8049 + 20.4479i 1.08031 + 1.17470i
\(304\) 34.3873 19.8535i 1.97225 1.13868i
\(305\) −2.98753 + 1.72485i −0.171066 + 0.0987647i
\(306\) 0.229623 + 0.487832i 0.0131267 + 0.0278875i
\(307\) 27.9094i 1.59287i 0.604721 + 0.796437i \(0.293285\pi\)
−0.604721 + 0.796437i \(0.706715\pi\)
\(308\) −8.55969 + 48.7371i −0.487733 + 2.77706i
\(309\) 16.0203 + 5.01947i 0.911363 + 0.285548i
\(310\) −1.32423 + 2.29364i −0.0752113 + 0.130270i
\(311\) 14.0884 + 24.4018i 0.798878 + 1.38370i 0.920348 + 0.391102i \(0.127906\pi\)
−0.121470 + 0.992595i \(0.538761\pi\)
\(312\) −15.1591 + 3.38935i −0.858215 + 0.191884i
\(313\) 16.4802 + 9.51486i 0.931517 + 0.537811i 0.887291 0.461210i \(-0.152585\pi\)
0.0442258 + 0.999022i \(0.485918\pi\)
\(314\) −0.912396 −0.0514895
\(315\) −3.07459 + 0.837952i −0.173234 + 0.0472133i
\(316\) −3.85535 −0.216880
\(317\) −25.3298 14.6242i −1.42267 0.821376i −0.426139 0.904658i \(-0.640127\pi\)
−0.996526 + 0.0832814i \(0.973460\pi\)
\(318\) 8.25274 1.84519i 0.462791 0.103473i
\(319\) −17.4218 30.1754i −0.975431 1.68950i
\(320\) −4.80083 + 8.31528i −0.268374 + 0.464838i
\(321\) −25.9036 8.11609i −1.44580 0.452996i
\(322\) 3.91585 4.67314i 0.218222 0.260424i
\(323\) 0.193641i 0.0107745i
\(324\) 47.1732 + 7.96788i 2.62074 + 0.442660i
\(325\) −4.19053 + 2.41940i −0.232449 + 0.134204i
\(326\) 22.8041 13.1659i 1.26300 0.729193i
\(327\) −3.49307 3.79826i −0.193167 0.210044i
\(328\) 58.2978i 3.21896i
\(329\) 11.2690 + 1.97917i 0.621279 + 0.109115i
\(330\) −1.97863 + 6.31504i −0.108920 + 0.347632i
\(331\) −12.7058 + 22.0072i −0.698377 + 1.20962i 0.270652 + 0.962677i \(0.412761\pi\)
−0.969029 + 0.246947i \(0.920573\pi\)
\(332\) −24.9211 43.1646i −1.36772 2.36896i
\(333\) −2.33342 + 27.8254i −0.127871 + 1.52482i
\(334\) 49.6471 + 28.6637i 2.71657 + 1.56841i
\(335\) −2.78761 −0.152304
\(336\) −62.3730 + 2.87812i −3.40272 + 0.157014i
\(337\) −21.6536 −1.17955 −0.589774 0.807568i \(-0.700783\pi\)
−0.589774 + 0.807568i \(0.700783\pi\)
\(338\) 2.34239 + 1.35238i 0.127409 + 0.0735597i
\(339\) 0.847714 + 3.79146i 0.0460415 + 0.205924i
\(340\) −0.0709064 0.122813i −0.00384544 0.00666049i
\(341\) −4.29048 + 7.43133i −0.232343 + 0.402429i
\(342\) 19.4189 + 13.4933i 1.05005 + 0.729632i
\(343\) 16.0578 + 9.22756i 0.867038 + 0.498242i
\(344\) 53.9960i 2.91127i
\(345\) 0.436094 0.401054i 0.0234785 0.0215920i
\(346\) 6.53320 3.77194i 0.351227 0.202781i
\(347\) −4.95825 + 2.86265i −0.266173 + 0.153675i −0.627147 0.778901i \(-0.715778\pi\)
0.360974 + 0.932576i \(0.382444\pi\)
\(348\) 67.1136 61.7210i 3.59767 3.30860i
\(349\) 13.1495i 0.703879i −0.936023 0.351940i \(-0.885522\pi\)
0.936023 0.351940i \(-0.114478\pi\)
\(350\) −32.5308 + 11.8652i −1.73884 + 0.634219i
\(351\) −3.18545 4.10523i −0.170027 0.219121i
\(352\) −33.2788 + 57.6405i −1.77376 + 3.07225i
\(353\) −11.1581 19.3263i −0.593884 1.02864i −0.993703 0.112043i \(-0.964261\pi\)
0.399820 0.916594i \(-0.369073\pi\)
\(354\) 12.8664 + 57.5460i 0.683843 + 3.05853i
\(355\) 2.37057 + 1.36865i 0.125817 + 0.0726404i
\(356\) 87.6279 4.64427
\(357\) 0.139933 0.270443i 0.00740603 0.0143133i
\(358\) 20.0105 1.05759
\(359\) −2.24043 1.29351i −0.118245 0.0682688i 0.439711 0.898139i \(-0.355081\pi\)
−0.557956 + 0.829871i \(0.688414\pi\)
\(360\) −10.7642 0.902678i −0.567322 0.0475753i
\(361\) −5.25372 9.09971i −0.276512 0.478932i
\(362\) 9.13277 15.8184i 0.480008 0.831398i
\(363\) −0.714235 + 2.27957i −0.0374876 + 0.119647i
\(364\) 10.7798 + 9.03291i 0.565015 + 0.473453i
\(365\) 2.73577i 0.143197i
\(366\) −27.2477 29.6284i −1.42426 1.54870i
\(367\) 2.45639 1.41820i 0.128223 0.0740294i −0.434517 0.900664i \(-0.643081\pi\)
0.562739 + 0.826634i \(0.309747\pi\)
\(368\) 10.0533 5.80430i 0.524067 0.302570i
\(369\) −17.6446 + 8.30532i −0.918540 + 0.432358i
\(370\) 10.1075i 0.525466i
\(371\) −3.66059 3.06738i −0.190048 0.159251i
\(372\) −21.4278 6.71374i −1.11098 0.348091i
\(373\) 7.24945 12.5564i 0.375363 0.650147i −0.615019 0.788513i \(-0.710852\pi\)
0.990381 + 0.138366i \(0.0441849\pi\)
\(374\) −0.316171 0.547625i −0.0163488 0.0283170i
\(375\) −6.67707 + 1.49290i −0.344803 + 0.0770928i
\(376\) 33.5868 + 19.3913i 1.73210 + 1.00003i
\(377\) −9.90320 −0.510041
\(378\) −17.3700 32.8778i −0.893417 1.69105i
\(379\) 17.1723 0.882081 0.441040 0.897487i \(-0.354610\pi\)
0.441040 + 0.897487i \(0.354610\pi\)
\(380\) −5.38626 3.10976i −0.276309 0.159527i
\(381\) 0.437080 0.0977246i 0.0223923 0.00500658i
\(382\) 4.26972 + 7.39537i 0.218458 + 0.378380i
\(383\) −6.08327 + 10.5365i −0.310841 + 0.538392i −0.978545 0.206035i \(-0.933944\pi\)
0.667704 + 0.744427i \(0.267277\pi\)
\(384\) −44.3789 13.9048i −2.26470 0.709575i
\(385\) 3.51115 1.28065i 0.178945 0.0652678i
\(386\) 42.7110i 2.17393i
\(387\) −16.3426 + 7.69246i −0.830739 + 0.391030i
\(388\) −56.8075 + 32.7978i −2.88396 + 1.66506i
\(389\) 8.18868 4.72774i 0.415183 0.239706i −0.277832 0.960630i \(-0.589616\pi\)
0.693014 + 0.720924i \(0.256282\pi\)
\(390\) 1.27321 + 1.38445i 0.0644715 + 0.0701044i
\(391\) 0.0566121i 0.00286300i
\(392\) 40.4176 + 48.0356i 2.04139 + 2.42617i
\(393\) −6.85498 + 21.8786i −0.345788 + 1.10363i
\(394\) −1.72739 + 2.99192i −0.0870244 + 0.150731i
\(395\) 0.145595 + 0.252179i 0.00732570 + 0.0126885i
\(396\) −55.9123 4.68878i −2.80970 0.235620i
\(397\) −4.26279 2.46112i −0.213943 0.123520i 0.389199 0.921154i \(-0.372752\pi\)
−0.603143 + 0.797633i \(0.706085\pi\)
\(398\) 5.23310 0.262312
\(399\) −0.615573 13.3403i −0.0308172 0.667853i
\(400\) −65.9306 −3.29653
\(401\) −11.9015 6.87136i −0.594335 0.343139i 0.172475 0.985014i \(-0.444824\pi\)
−0.766810 + 0.641875i \(0.778157\pi\)
\(402\) −7.09735 31.7434i −0.353984 1.58321i
\(403\) 1.21944 + 2.11213i 0.0607445 + 0.105213i
\(404\) 42.6291 73.8358i 2.12088 3.67347i
\(405\) −1.26030 3.38651i −0.0626246 0.168277i
\(406\) −69.8001 12.2590i −3.46412 0.608402i
\(407\) 32.7482i 1.62327i
\(408\) 0.759725 0.698682i 0.0376120 0.0345899i
\(409\) −9.12596 + 5.26888i −0.451250 + 0.260529i −0.708358 0.705853i \(-0.750564\pi\)
0.257108 + 0.966383i \(0.417230\pi\)
\(410\) 6.11339 3.52957i 0.301919 0.174313i
\(411\) 5.72252 5.26272i 0.282271 0.259591i
\(412\) 51.5236i 2.53838i
\(413\) 21.3887 25.5251i 1.05247 1.25601i
\(414\) 5.67723 + 3.94484i 0.279021 + 0.193878i
\(415\) −1.88227 + 3.26018i −0.0923968 + 0.160036i
\(416\) 9.45847 + 16.3826i 0.463740 + 0.803221i
\(417\) 0.325188 + 1.45442i 0.0159245 + 0.0712234i
\(418\) −24.0173 13.8664i −1.17473 0.678228i
\(419\) 25.3410 1.23799 0.618993 0.785396i \(-0.287541\pi\)
0.618993 + 0.785396i \(0.287541\pi\)
\(420\) 5.27531 + 8.23548i 0.257409 + 0.401850i
\(421\) −12.3928 −0.603989 −0.301995 0.953310i \(-0.597652\pi\)
−0.301995 + 0.953310i \(0.597652\pi\)
\(422\) −31.6168 18.2540i −1.53908 0.888590i
\(423\) −1.08414 + 12.9280i −0.0527125 + 0.628581i
\(424\) −8.09426 14.0197i −0.393092 0.680855i
\(425\) 0.160763 0.278450i 0.00779815 0.0135068i
\(426\) −9.54966 + 30.4790i −0.462683 + 1.47671i
\(427\) −3.93238 + 22.3902i −0.190301 + 1.08354i
\(428\) 83.3096i 4.02692i
\(429\) 4.12518 + 4.48559i 0.199165 + 0.216566i
\(430\) 5.66227 3.26912i 0.273059 0.157651i
\(431\) −14.2490 + 8.22666i −0.686350 + 0.396264i −0.802243 0.596997i \(-0.796360\pi\)
0.115893 + 0.993262i \(0.463027\pi\)
\(432\) −9.62039 70.1429i −0.462861 3.37475i
\(433\) 26.6504i 1.28074i −0.768067 0.640369i \(-0.778781\pi\)
0.768067 0.640369i \(-0.221219\pi\)
\(434\) 5.98033 + 16.3963i 0.287065 + 0.787047i
\(435\) −6.57169 2.05904i −0.315089 0.0987234i
\(436\) −7.91850 + 13.7152i −0.379227 + 0.656841i
\(437\) 1.24143 + 2.15021i 0.0593854 + 0.102859i
\(438\) 31.1530 6.96535i 1.48855 0.332817i
\(439\) −6.67011 3.85099i −0.318347 0.183798i 0.332308 0.943171i \(-0.392173\pi\)
−0.650656 + 0.759373i \(0.725506\pi\)
\(440\) 12.6686 0.603950
\(441\) −8.78056 + 19.0762i −0.418122 + 0.908391i
\(442\) −0.179724 −0.00854860
\(443\) 15.0564 + 8.69284i 0.715353 + 0.413009i 0.813040 0.582208i \(-0.197811\pi\)
−0.0976867 + 0.995217i \(0.531144\pi\)
\(444\) 83.6317 18.6988i 3.96899 0.887407i
\(445\) −3.30923 5.73175i −0.156872 0.271711i
\(446\) −7.68533 + 13.3114i −0.363911 + 0.630312i
\(447\) −16.0811 5.03854i −0.760612 0.238315i
\(448\) 21.6809 + 59.4427i 1.02433 + 2.80840i
\(449\) 5.70855i 0.269403i 0.990886 + 0.134701i \(0.0430075\pi\)
−0.990886 + 0.134701i \(0.956992\pi\)
\(450\) −16.7215 35.5247i −0.788260 1.67465i
\(451\) 19.8072 11.4357i 0.932687 0.538487i
\(452\) 10.3260 5.96169i 0.485692 0.280414i
\(453\) −0.368679 0.400890i −0.0173220 0.0188355i
\(454\) 43.2378i 2.02925i
\(455\) 0.183749 1.04623i 0.00861430 0.0490481i
\(456\) 13.5344 43.1967i 0.633805 2.02287i
\(457\) −3.76466 + 6.52058i −0.176103 + 0.305020i −0.940543 0.339676i \(-0.889683\pi\)
0.764439 + 0.644696i \(0.223016\pi\)
\(458\) 27.8892 + 48.3055i 1.30318 + 2.25717i
\(459\) 0.319698 + 0.130404i 0.0149222 + 0.00608672i
\(460\) −1.57470 0.909156i −0.0734210 0.0423896i
\(461\) −21.9371 −1.02171 −0.510855 0.859667i \(-0.670671\pi\)
−0.510855 + 0.859667i \(0.670671\pi\)
\(462\) 23.5226 + 36.7220i 1.09437 + 1.70846i
\(463\) −10.6584 −0.495338 −0.247669 0.968845i \(-0.579664\pi\)
−0.247669 + 0.968845i \(0.579664\pi\)
\(464\) −116.857 67.4674i −5.42495 3.13210i
\(465\) 0.370064 + 1.65513i 0.0171613 + 0.0767550i
\(466\) 17.6507 + 30.5718i 0.817651 + 1.41621i
\(467\) 17.6834 30.6285i 0.818290 1.41732i −0.0886511 0.996063i \(-0.528256\pi\)
0.906941 0.421257i \(-0.138411\pi\)
\(468\) −9.09978 + 13.0960i −0.420638 + 0.605363i
\(469\) −11.7984 + 14.0801i −0.544799 + 0.650159i
\(470\) 4.69609i 0.216614i
\(471\) −0.430060 + 0.395504i −0.0198161 + 0.0182239i
\(472\) 97.7585 56.4409i 4.49970 2.59790i
\(473\) 18.3457 10.5919i 0.843534 0.487015i
\(474\) −2.50094 + 2.29999i −0.114872 + 0.105642i
\(475\) 14.1012i 0.647010i
\(476\) −0.920432 0.161655i −0.0421879 0.00740945i
\(477\) 3.09009 4.44712i 0.141485 0.203620i
\(478\) −16.7144 + 28.9501i −0.764497 + 1.32415i
\(479\) 2.73155 + 4.73119i 0.124808 + 0.216174i 0.921658 0.388004i \(-0.126835\pi\)
−0.796850 + 0.604177i \(0.793502\pi\)
\(480\) 2.87037 + 12.8379i 0.131014 + 0.585968i
\(481\) −8.06069 4.65384i −0.367536 0.212197i
\(482\) −62.1532 −2.83100
\(483\) −0.179966 3.90013i −0.00818876 0.177462i
\(484\) 7.33144 0.333247
\(485\) 4.29062 + 2.47719i 0.194827 + 0.112483i
\(486\) 35.3544 22.9735i 1.60371 1.04210i
\(487\) 12.1026 + 20.9624i 0.548423 + 0.949897i 0.998383 + 0.0568482i \(0.0181051\pi\)
−0.449959 + 0.893049i \(0.648562\pi\)
\(488\) −38.5284 + 66.7332i −1.74410 + 3.02087i
\(489\) 5.04158 16.0909i 0.227988 0.727654i
\(490\) 2.59022 7.14663i 0.117014 0.322852i
\(491\) 7.77738i 0.350988i 0.984480 + 0.175494i \(0.0561523\pi\)
−0.984480 + 0.175494i \(0.943848\pi\)
\(492\) 40.5140 + 44.0537i 1.82651 + 1.98609i
\(493\) 0.569881 0.329021i 0.0256661 0.0148184i
\(494\) −6.82619 + 3.94110i −0.307125 + 0.177319i
\(495\) 1.80481 + 3.83430i 0.0811201 + 0.172339i
\(496\) 33.2306i 1.49210i
\(497\) 16.9463 6.18092i 0.760144 0.277252i
\(498\) −41.9169 13.1334i −1.87834 0.588521i
\(499\) 8.49095 14.7068i 0.380107 0.658365i −0.610970 0.791654i \(-0.709220\pi\)
0.991077 + 0.133289i \(0.0425538\pi\)
\(500\) 10.4990 + 18.1849i 0.469531 + 0.813252i
\(501\) 35.8263 8.01025i 1.60060 0.357871i
\(502\) 39.4917 + 22.8005i 1.76260 + 1.01764i
\(503\) 22.5107 1.00370 0.501850 0.864955i \(-0.332653\pi\)
0.501850 + 0.864955i \(0.332653\pi\)
\(504\) −50.1181 + 50.5488i −2.23244 + 2.25162i
\(505\) −6.43947 −0.286553
\(506\) −7.02161 4.05393i −0.312148 0.180219i
\(507\) 1.69032 0.377930i 0.0750696 0.0167845i
\(508\) −0.687265 1.19038i −0.0304925 0.0528145i
\(509\) −0.390857 + 0.676985i −0.0173244 + 0.0300068i −0.874558 0.484922i \(-0.838848\pi\)
0.857233 + 0.514928i \(0.172181\pi\)
\(510\) −0.119264 0.0373676i −0.00528108 0.00165467i
\(511\) −13.8182 11.5790i −0.611283 0.512223i
\(512\) 13.3603i 0.590450i
\(513\) 15.0022 2.05761i 0.662362 0.0908458i
\(514\) 17.5134 10.1114i 0.772484 0.445994i
\(515\) −3.37016 + 1.94576i −0.148507 + 0.0857406i
\(516\) 37.5244 + 40.8029i 1.65192 + 1.79625i
\(517\) 15.2152i 0.669165i
\(518\) −51.0528 42.7795i −2.24313 1.87963i
\(519\) 1.44438 4.60992i 0.0634011 0.202353i
\(520\) 1.80033 3.11826i 0.0789495 0.136745i
\(521\) 16.7953 + 29.0903i 0.735816 + 1.27447i 0.954364 + 0.298645i \(0.0965345\pi\)
−0.218548 + 0.975826i \(0.570132\pi\)
\(522\) 6.71515 80.0762i 0.293914 3.50484i
\(523\) 14.7822 + 8.53451i 0.646381 + 0.373188i 0.787068 0.616866i \(-0.211598\pi\)
−0.140688 + 0.990054i \(0.544931\pi\)
\(524\) 70.3646 3.07389
\(525\) −10.1901 + 19.6941i −0.444734 + 0.859519i
\(526\) −27.1103 −1.18206
\(527\) −0.140345 0.0810285i −0.00611354 0.00352965i
\(528\) 18.1178 + 81.0332i 0.788477 + 3.52652i
\(529\) −11.1371 19.2900i −0.484220 0.838694i
\(530\) −0.980112 + 1.69760i −0.0425734 + 0.0737392i
\(531\) 31.0096 + 21.5471i 1.34570 + 0.935063i
\(532\) −38.5043 + 14.0439i −1.66937 + 0.608880i
\(533\) 6.50051i 0.281568i
\(534\) 56.8437 52.2764i 2.45987 2.26222i
\(535\) 5.44929 3.14615i 0.235593 0.136020i
\(536\) −53.9253 + 31.1338i −2.32922 + 1.34477i
\(537\) 9.43198 8.67412i 0.407020 0.374316i
\(538\) 27.0639i 1.16681i
\(539\) 8.39225 23.1549i 0.361480 0.997354i
\(540\) −8.76143 + 6.79842i −0.377032 + 0.292557i
\(541\) 8.05167 13.9459i 0.346169 0.599581i −0.639397 0.768877i \(-0.720816\pi\)
0.985565 + 0.169295i \(0.0541492\pi\)
\(542\) 19.2287 + 33.3051i 0.825945 + 1.43058i
\(543\) −2.55220 11.4149i −0.109526 0.489860i
\(544\) −1.08858 0.628491i −0.0466724 0.0269463i
\(545\) 1.19615 0.0512376
\(546\) 12.3816 0.571332i 0.529883 0.0244508i
\(547\) 4.67071 0.199705 0.0998525 0.995002i \(-0.468163\pi\)
0.0998525 + 0.995002i \(0.468163\pi\)
\(548\) −20.6636 11.9301i −0.882706 0.509630i
\(549\) −25.6865 2.15406i −1.09627 0.0919330i
\(550\) 23.0241 + 39.8789i 0.981751 + 1.70044i
\(551\) 14.4300 24.9934i 0.614737 1.06476i
\(552\) 3.95685 12.6288i 0.168415 0.537518i
\(553\) 1.88997 + 0.331934i 0.0803696 + 0.0141153i
\(554\) 8.24787i 0.350418i
\(555\) −4.38141 4.76421i −0.185980 0.202229i
\(556\) 3.96109 2.28694i 0.167988 0.0969878i
\(557\) 3.22271 1.86063i 0.136551 0.0788375i −0.430168 0.902749i \(-0.641546\pi\)
0.566719 + 0.823911i \(0.308213\pi\)
\(558\) −17.9053 + 8.42805i −0.757992 + 0.356788i
\(559\) 6.02083i 0.254654i
\(560\) 9.29588 11.0936i 0.392823 0.468791i
\(561\) −0.386412 0.121070i −0.0163143 0.00511159i
\(562\) 0.879963 1.52414i 0.0371190 0.0642920i
\(563\) 14.5436 + 25.1903i 0.612941 + 1.06164i 0.990742 + 0.135758i \(0.0433469\pi\)
−0.377801 + 0.925887i \(0.623320\pi\)
\(564\) 38.8563 8.68770i 1.63615 0.365818i
\(565\) −0.779910 0.450281i −0.0328111 0.0189435i
\(566\) 40.3317 1.69527
\(567\) −22.4392 7.96749i −0.942359 0.334603i
\(568\) 61.1437 2.56553
\(569\) −12.4189 7.17005i −0.520627 0.300584i 0.216564 0.976268i \(-0.430515\pi\)
−0.737191 + 0.675684i \(0.763848\pi\)
\(570\) −5.34923 + 1.19601i −0.224055 + 0.0500953i
\(571\) −3.52406 6.10385i −0.147477 0.255438i 0.782817 0.622252i \(-0.213782\pi\)
−0.930294 + 0.366814i \(0.880449\pi\)
\(572\) 9.35143 16.1971i 0.391003 0.677237i
\(573\) 5.21828 + 1.63499i 0.217997 + 0.0683026i
\(574\) 8.04684 45.8171i 0.335869 1.91237i
\(575\) 4.12258i 0.171924i
\(576\) −64.9134 + 30.5548i −2.70472 + 1.27312i
\(577\) −18.8550 + 10.8859i −0.784944 + 0.453187i −0.838179 0.545395i \(-0.816380\pi\)
0.0532358 + 0.998582i \(0.483047\pi\)
\(578\) −39.8103 + 22.9845i −1.65589 + 0.956028i
\(579\) −18.5143 20.1319i −0.769428 0.836653i
\(580\) 21.1355i 0.877605i
\(581\) 8.50046 + 23.3057i 0.352658 + 0.966885i
\(582\) −17.2844 + 55.1656i −0.716463 + 2.28669i
\(583\) −3.17554 + 5.50020i −0.131518 + 0.227795i
\(584\) −30.5547 52.9224i −1.26436 2.18994i
\(585\) 1.20026 + 0.100653i 0.0496246 + 0.00416150i
\(586\) −18.7389 10.8189i −0.774096 0.446924i
\(587\) 2.51604 0.103848 0.0519240 0.998651i \(-0.483465\pi\)
0.0519240 + 0.998651i \(0.483465\pi\)
\(588\) 63.9244 + 8.21077i 2.63620 + 0.338607i
\(589\) −7.10737 −0.292854
\(590\) −11.8373 6.83428i −0.487335 0.281363i
\(591\) 0.482728 + 2.15903i 0.0198568 + 0.0888107i
\(592\) −63.4104 109.830i −2.60615 4.51398i
\(593\) 0.658976 1.14138i 0.0270609 0.0468709i −0.852178 0.523252i \(-0.824719\pi\)
0.879239 + 0.476381i \(0.158052\pi\)
\(594\) −39.0672 + 30.3141i −1.60295 + 1.24380i
\(595\) 0.0241858 + 0.0663104i 0.000991522 + 0.00271846i
\(596\) 51.7193i 2.11850i
\(597\) 2.46663 2.26844i 0.100953 0.0928411i
\(598\) −1.99568 + 1.15220i −0.0816093 + 0.0471171i
\(599\) −15.7329 + 9.08337i −0.642827 + 0.371136i −0.785703 0.618604i \(-0.787698\pi\)
0.142876 + 0.989741i \(0.454365\pi\)
\(600\) −55.3244 + 50.8791i −2.25861 + 2.07713i
\(601\) 12.4359i 0.507271i 0.967300 + 0.253636i \(0.0816264\pi\)
−0.967300 + 0.253636i \(0.918374\pi\)
\(602\) 7.45306 42.4362i 0.303764 1.72957i
\(603\) −17.1054 11.8857i −0.696587 0.484024i
\(604\) −0.835764 + 1.44759i −0.0340067 + 0.0589014i
\(605\) −0.276868 0.479550i −0.0112563 0.0194965i
\(606\) −16.3951 73.3282i −0.666006 2.97875i
\(607\) −3.23061 1.86519i −0.131126 0.0757059i 0.433002 0.901393i \(-0.357454\pi\)
−0.564128 + 0.825687i \(0.690788\pi\)
\(608\) −55.1278 −2.23573
\(609\) −38.2144 + 24.4786i −1.54853 + 0.991922i
\(610\) 9.33061 0.377785
\(611\) −3.74509 2.16223i −0.151510 0.0874745i
\(612\) 0.0885505 1.05594i 0.00357944 0.0426838i
\(613\) 21.0952 + 36.5380i 0.852029 + 1.47576i 0.879374 + 0.476131i \(0.157961\pi\)
−0.0273455 + 0.999626i \(0.508705\pi\)
\(614\) 37.7441 65.3747i 1.52323 2.63831i
\(615\) 1.35156 4.31369i 0.0545003 0.173945i
\(616\) 53.6189 63.9883i 2.16037 2.57816i
\(617\) 39.0753i 1.57311i −0.617518 0.786557i \(-0.711862\pi\)
0.617518 0.786557i \(-0.288138\pi\)
\(618\) −30.7375 33.4230i −1.23644 1.34447i
\(619\) −30.2965 + 17.4917i −1.21772 + 0.703050i −0.964429 0.264341i \(-0.914846\pi\)
−0.253289 + 0.967391i \(0.581512\pi\)
\(620\) 4.50773 2.60254i 0.181035 0.104520i
\(621\) 4.38598 0.601555i 0.176003 0.0241396i
\(622\) 76.2112i 3.05579i
\(623\) −42.9569 7.54451i −1.72103 0.302264i
\(624\) 22.5203 + 7.05606i 0.901534 + 0.282468i
\(625\) −11.3040 + 19.5792i −0.452161 + 0.783166i
\(626\) −25.7354 44.5750i −1.02859 1.78157i
\(627\) −17.3314 + 3.87505i −0.692149 + 0.154754i
\(628\) 1.55291 + 0.896575i 0.0619680 + 0.0357772i
\(629\) 0.618471 0.0246601
\(630\) 8.33512 + 2.19520i 0.332079 + 0.0874590i
\(631\) 25.7945 1.02686 0.513432 0.858130i \(-0.328374\pi\)
0.513432 + 0.858130i \(0.328374\pi\)
\(632\) 5.63298 + 3.25220i 0.224068 + 0.129366i
\(633\) −22.8153 + 5.10118i −0.906829 + 0.202754i
\(634\) 39.5549 + 68.5111i 1.57093 + 2.72092i
\(635\) −0.0519085 + 0.0899081i −0.00205993 + 0.00356790i
\(636\) −15.8595 4.96909i −0.628870 0.197037i
\(637\) −4.50676 5.35622i −0.178564 0.212221i
\(638\) 94.2432i 3.73113i
\(639\) 8.71075 + 18.5059i 0.344592 + 0.732082i
\(640\) 9.33591 5.39009i 0.369034 0.213062i
\(641\) −34.8700 + 20.1322i −1.37728 + 0.795175i −0.991832 0.127553i \(-0.959288\pi\)
−0.385452 + 0.922728i \(0.625954\pi\)
\(642\) 49.7002 + 54.0425i 1.96151 + 2.13289i
\(643\) 35.0949i 1.38401i 0.721894 + 0.692003i \(0.243272\pi\)
−0.721894 + 0.692003i \(0.756728\pi\)
\(644\) −11.2569 + 4.10582i −0.443586 + 0.161792i
\(645\) 1.25183 3.99538i 0.0492908 0.157318i
\(646\) 0.261876 0.453583i 0.0103034 0.0178460i
\(647\) −9.11963 15.7957i −0.358530 0.620992i 0.629186 0.777255i \(-0.283388\pi\)
−0.987715 + 0.156263i \(0.950055\pi\)
\(648\) −62.2026 51.4350i −2.44355 2.02056i
\(649\) −38.3527 22.1429i −1.50547 0.869186i
\(650\) 13.0878 0.513346
\(651\) 9.92628 + 5.13608i 0.389042 + 0.201299i
\(652\) −51.7505 −2.02671
\(653\) 36.3240 + 20.9717i 1.42147 + 0.820684i 0.996424 0.0844893i \(-0.0269259\pi\)
0.425042 + 0.905173i \(0.360259\pi\)
\(654\) 3.04545 + 13.6210i 0.119086 + 0.532622i
\(655\) −2.65729 4.60256i −0.103829 0.179837i
\(656\) 44.2859 76.7055i 1.72908 2.99485i
\(657\) 11.6647 16.7873i 0.455082 0.654934i
\(658\) −23.7197 19.8759i −0.924692 0.774843i
\(659\) 19.2740i 0.750809i −0.926861 0.375404i \(-0.877504\pi\)
0.926861 0.375404i \(-0.122496\pi\)
\(660\) 9.57320 8.80400i 0.372636 0.342695i
\(661\) 27.8902 16.1024i 1.08480 0.626311i 0.152615 0.988286i \(-0.451231\pi\)
0.932188 + 0.361974i \(0.117897\pi\)
\(662\) 59.5241 34.3662i 2.31347 1.33568i
\(663\) −0.0847132 + 0.0779066i −0.00328999 + 0.00302564i
\(664\) 84.0893i 3.26330i
\(665\) 2.37271 + 1.98821i 0.0920097 + 0.0770993i
\(666\) 43.0962 62.0222i 1.66995 2.40331i
\(667\) 4.21868 7.30697i 0.163348 0.282927i
\(668\) −56.3334 97.5723i −2.17961 3.77519i
\(669\) 2.14771 + 9.60576i 0.0830352 + 0.371380i
\(670\) 6.52967 + 3.76991i 0.252263 + 0.145644i
\(671\) 30.2310 1.16705
\(672\) 76.9924 + 39.8376i 2.97005 + 1.53677i
\(673\) 21.3505 0.823003 0.411501 0.911409i \(-0.365005\pi\)
0.411501 + 0.911409i \(0.365005\pi\)
\(674\) 50.7212 + 29.2839i 1.95371 + 1.12797i
\(675\) −23.2809 9.49620i −0.896083 0.365509i
\(676\) −2.65786 4.60354i −0.102225 0.177059i
\(677\) −12.1475 + 21.0400i −0.466865 + 0.808634i −0.999284 0.0378470i \(-0.987950\pi\)
0.532418 + 0.846481i \(0.321283\pi\)
\(678\) 3.14181 10.0275i 0.120660 0.385104i
\(679\) 30.6720 11.1872i 1.17708 0.429325i
\(680\) 0.239254i 0.00917497i
\(681\) 18.7427 + 20.3802i 0.718221 + 0.780971i
\(682\) 20.0999 11.6047i 0.769667 0.444367i
\(683\) −27.2353 + 15.7243i −1.04213 + 0.601674i −0.920436 0.390894i \(-0.872166\pi\)
−0.121694 + 0.992568i \(0.538833\pi\)
\(684\) −19.7920 42.0480i −0.756767 1.60774i
\(685\) 1.80215i 0.0688564i
\(686\) −25.1344 43.3307i −0.959635 1.65438i
\(687\) 34.0850 + 10.6795i 1.30043 + 0.407449i
\(688\) 41.0180 71.0453i 1.56380 2.70858i
\(689\) 0.902551 + 1.56326i 0.0343845 + 0.0595556i
\(690\) −1.56388 + 0.349660i −0.0595359 + 0.0133113i
\(691\) 2.93545 + 1.69478i 0.111670 + 0.0644725i 0.554795 0.831987i \(-0.312797\pi\)
−0.443125 + 0.896460i \(0.646130\pi\)
\(692\) −14.8262 −0.563606
\(693\) 27.0056 + 7.11242i 1.02586 + 0.270178i
\(694\) 15.4855 0.587823
\(695\) −0.299178 0.172730i −0.0113485 0.00655204i
\(696\) −150.124 + 33.5654i −5.69042 + 1.27229i
\(697\) 0.215971 + 0.374073i 0.00818048 + 0.0141690i
\(698\) −17.7832 + 30.8014i −0.673103 + 1.16585i
\(699\) 21.5719 + 6.75890i 0.815925 + 0.255645i
\(700\) 67.0273 + 11.7720i 2.53339 + 0.444939i
\(701\) 0.391628i 0.0147916i −0.999973 0.00739579i \(-0.997646\pi\)
0.999973 0.00739579i \(-0.00235417\pi\)
\(702\) 1.90973 + 13.9240i 0.0720782 + 0.525527i
\(703\) 23.4905 13.5622i 0.885960 0.511509i
\(704\) 72.8698 42.0714i 2.74638 1.58562i
\(705\) −2.03565 2.21351i −0.0766672 0.0833656i
\(706\) 60.3597i 2.27167i
\(707\) −27.2547 + 32.5255i −1.02502 + 1.22325i
\(708\) 34.6492 110.588i 1.30220 4.15613i
\(709\) −7.31852 + 12.6760i −0.274853 + 0.476059i −0.970098 0.242714i \(-0.921962\pi\)
0.695245 + 0.718773i \(0.255296\pi\)
\(710\) −3.70186 6.41182i −0.138928 0.240631i
\(711\) −0.181825 + 2.16821i −0.00681897 + 0.0813143i
\(712\) −128.031 73.9190i −4.79818 2.77023i
\(713\) −2.07788 −0.0778173
\(714\) −0.693518 + 0.444239i −0.0259543 + 0.0166252i
\(715\) −1.41261 −0.0528286
\(716\) −34.0582 19.6635i −1.27281 0.734860i
\(717\) 4.67093 + 20.8910i 0.174439 + 0.780189i
\(718\) 3.49863 + 6.05981i 0.130568 + 0.226150i
\(719\) −19.9231 + 34.5078i −0.743006 + 1.28692i 0.208115 + 0.978104i \(0.433267\pi\)
−0.951121 + 0.308820i \(0.900066\pi\)
\(720\) 13.4773 + 9.36470i 0.502268 + 0.349002i
\(721\) −4.43603 + 25.2579i −0.165206 + 0.940652i
\(722\) 28.4201i 1.05769i
\(723\) −29.2960 + 26.9421i −1.08953 + 1.00199i
\(724\) −31.0883 + 17.9488i −1.15539 + 0.667062i
\(725\) −41.4996 + 23.9598i −1.54126 + 0.889846i
\(726\) 4.75586 4.37373i 0.176507 0.162324i
\(727\) 20.5112i 0.760717i −0.924839 0.380358i \(-0.875801\pi\)
0.924839 0.380358i \(-0.124199\pi\)
\(728\) −8.13041 22.2912i −0.301333 0.826166i
\(729\) 6.70583 26.1540i 0.248364 0.968667i
\(730\) −3.69979 + 6.40823i −0.136935 + 0.237179i
\(731\) 0.200034 + 0.346469i 0.00739853 + 0.0128146i
\(732\) 17.2615 + 77.2032i 0.638004 + 2.85351i
\(733\) −15.8648 9.15957i −0.585981 0.338316i 0.177526 0.984116i \(-0.443191\pi\)
−0.763507 + 0.645800i \(0.776524\pi\)
\(734\) −7.67177 −0.283170
\(735\) −1.87701 4.49138i −0.0692345 0.165667i
\(736\) −16.1169 −0.594078
\(737\) 21.1560 + 12.2144i 0.779291 + 0.449924i
\(738\) 52.5624 + 4.40785i 1.93485 + 0.162255i
\(739\) −0.357502 0.619212i −0.0131509 0.0227781i 0.859375 0.511346i \(-0.170853\pi\)
−0.872526 + 0.488568i \(0.837520\pi\)
\(740\) −9.93228 + 17.2032i −0.365118 + 0.632403i
\(741\) −1.50915 + 4.81665i −0.0554401 + 0.176944i
\(742\) 4.42626 + 12.1355i 0.162493 + 0.445508i
\(743\) 10.1968i 0.374086i −0.982352 0.187043i \(-0.940110\pi\)
0.982352 0.187043i \(-0.0598903\pi\)
\(744\) 25.6443 + 27.8848i 0.940166 + 1.02231i
\(745\) 3.38296 1.95315i 0.123942 0.0715581i
\(746\) −33.9621 + 19.6080i −1.24344 + 0.717901i
\(747\) −25.4507 + 11.9797i −0.931191 + 0.438313i
\(748\) 1.24276i 0.0454397i
\(749\) 7.17272 40.8400i 0.262085 1.49226i
\(750\) 17.6593 + 5.53299i 0.644825 + 0.202036i
\(751\) 27.2820 47.2538i 0.995533 1.72431i 0.416002 0.909363i \(-0.363431\pi\)
0.579531 0.814950i \(-0.303236\pi\)
\(752\) −29.4612 51.0283i −1.07434 1.86081i
\(753\) 28.4980 6.37174i 1.03853 0.232199i
\(754\) 23.1971 + 13.3929i 0.844790 + 0.487740i
\(755\) 0.126249 0.00459467
\(756\) −2.74367 + 73.0275i −0.0997863 + 2.65598i
\(757\) −37.7258 −1.37117 −0.685583 0.727994i \(-0.740453\pi\)
−0.685583 + 0.727994i \(0.740453\pi\)
\(758\) −40.2242 23.2234i −1.46101 0.843513i
\(759\) −5.06694 + 1.13289i −0.183918 + 0.0411214i
\(760\) 5.24651 + 9.08722i 0.190311 + 0.329628i
\(761\) −7.58017 + 13.1292i −0.274781 + 0.475935i −0.970080 0.242786i \(-0.921939\pi\)
0.695299 + 0.718721i \(0.255272\pi\)
\(762\) −1.15597 0.362188i −0.0418764 0.0131207i
\(763\) 5.06265 6.04172i 0.183280 0.218725i
\(764\) 16.7827i 0.607178i
\(765\) −0.0724132 + 0.0340850i −0.00261810 + 0.00123234i
\(766\) 28.4988 16.4538i 1.02970 0.594499i
\(767\) −10.9006 + 6.29345i −0.393597 + 0.227243i
\(768\) 29.0696 + 31.6094i 1.04896 + 1.14060i
\(769\) 5.85294i 0.211062i 0.994416 + 0.105531i \(0.0336543\pi\)
−0.994416 + 0.105531i \(0.966346\pi\)
\(770\) −9.95641 1.74864i −0.358804 0.0630166i
\(771\) 3.87191 12.3577i 0.139444 0.445052i
\(772\) −41.9704 + 72.6948i −1.51055 + 2.61634i
\(773\) 11.9836 + 20.7563i 0.431022 + 0.746551i 0.996962 0.0778952i \(-0.0248199\pi\)
−0.565940 + 0.824446i \(0.691487\pi\)
\(774\) 48.6838 + 4.08259i 1.74990 + 0.146746i
\(775\) 10.2202 + 5.90062i 0.367120 + 0.211957i
\(776\) 110.667