Properties

Label 300.2.n.a.191.48
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 191.48
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.48

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +O(q^{10})\) \(q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +(1.03629 - 2.98766i) q^{10} +(-1.53656 - 1.11637i) q^{11} +(2.81647 + 2.01680i) q^{12} +(-3.79520 + 2.75737i) q^{13} +(-0.205881 + 0.386826i) q^{14} +(-1.89744 - 3.37634i) q^{15} +(-1.50447 + 3.70629i) q^{16} +(-4.30413 - 1.39850i) q^{17} +(4.13624 - 0.944224i) q^{18} +(5.24788 + 1.70514i) q^{19} +(3.27883 - 3.04126i) q^{20} +(0.187436 + 0.502891i) q^{21} +(-1.17648 - 2.41464i) q^{22} +(5.20321 + 3.78035i) q^{23} +(2.17606 + 4.38917i) q^{24} +(-4.76097 + 1.52747i) q^{25} +(-6.57006 + 0.920633i) q^{26} +(2.49342 - 4.55882i) q^{27} +(-0.514046 + 0.346120i) q^{28} +(-6.49757 + 2.11119i) q^{29} +(-0.125397 - 5.47579i) q^{30} +(-5.73466 - 1.86330i) q^{31} +(-4.34080 + 3.62732i) q^{32} +(-3.16912 - 0.882374i) q^{33} +(-4.44408 - 4.60574i) q^{34} +(0.684528 - 0.107120i) q^{35} +(5.79108 + 1.56951i) q^{36} +(3.24583 - 2.35823i) q^{37} +(5.41852 + 5.61562i) q^{38} +(-4.49158 + 6.77094i) q^{39} +(6.11405 - 1.61813i) q^{40} +(-0.902077 - 1.24160i) q^{41} +(-0.100146 + 0.752353i) q^{42} -3.75970i q^{43} +(0.135662 - 3.79616i) q^{44} +(-5.12192 - 4.33197i) q^{45} +(3.98389 + 8.17664i) q^{46} +(2.19448 + 6.75392i) q^{47} +(-0.199746 + 6.92532i) q^{48} +6.90399 q^{49} +(-6.95854 - 1.25649i) q^{50} +(-7.83151 + 0.333888i) q^{51} +(-8.81381 - 3.21610i) q^{52} +(0.721525 - 0.234438i) q^{53} +(6.14187 - 4.03453i) q^{54} +(-1.93507 + 3.78048i) q^{55} +(-0.871715 + 0.0905438i) q^{56} +(9.54870 - 0.407098i) q^{57} +(-9.51436 - 1.68164i) q^{58} +(11.0576 - 8.03382i) q^{59} +(3.48180 - 6.91933i) q^{60} +(-7.66779 - 5.57097i) q^{61} +(-5.92112 - 6.13650i) q^{62} +(0.608411 + 0.702802i) q^{63} +(-7.82922 + 1.64416i) q^{64} +(7.40358 + 7.43104i) q^{65} +(-3.37006 - 3.20726i) q^{66} +(-6.37132 - 2.07017i) q^{67} +(-2.48778 - 8.70266i) q^{68} +(10.7315 + 2.98796i) q^{69} +(0.925744 + 0.321100i) q^{70} +(0.750346 + 2.30933i) q^{71} +(6.18677 + 5.80723i) q^{72} +(-7.60274 - 5.52372i) q^{73} +(5.61902 - 0.787367i) q^{74} +(-6.80300 + 5.35903i) q^{75} +(3.03326 + 10.6109i) q^{76} +(0.345915 - 0.476111i) q^{77} +(-10.1062 + 5.46849i) q^{78} +(1.81171 - 0.588659i) q^{79} +(8.70797 + 2.04235i) q^{80} +(1.28909 - 8.90720i) q^{81} +(-0.301186 - 2.14940i) q^{82} +(-0.792743 + 2.43981i) q^{83} +(-0.624917 + 0.872700i) q^{84} +(-1.60156 + 9.99208i) q^{85} +(2.49810 - 4.69363i) q^{86} +(-9.26837 + 7.35689i) q^{87} +(2.69169 - 4.64900i) q^{88} +(5.28769 - 7.27788i) q^{89} +(-3.51590 - 8.81127i) q^{90} +(-0.854388 - 1.17596i) q^{91} +(-0.459388 + 12.8548i) q^{92} +(-10.4344 + 0.444859i) q^{93} +(-1.74798 + 9.88974i) q^{94} +(1.95272 - 12.1830i) q^{95} +(-4.85084 + 8.51289i) q^{96} +(3.88035 + 11.9425i) q^{97} +(8.61898 + 4.58730i) q^{98} +(-5.67719 + 0.484963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24841 + 0.664442i 0.882756 + 0.469831i
\(3\) 1.62298 0.604914i 0.937031 0.349247i
\(4\) 1.11703 + 1.65899i 0.558517 + 0.829493i
\(5\) −0.345709 2.20918i −0.154606 0.987976i
\(6\) 2.42807 + 0.323201i 0.991257 + 0.131946i
\(7\) 0.309856i 0.117114i 0.998284 + 0.0585572i \(0.0186500\pi\)
−0.998284 + 0.0585572i \(0.981350\pi\)
\(8\) 0.292213 + 2.81329i 0.103313 + 0.994649i
\(9\) 2.26816 1.96353i 0.756053 0.654510i
\(10\) 1.03629 2.98766i 0.327703 0.944781i
\(11\) −1.53656 1.11637i −0.463290 0.336600i 0.331531 0.943444i \(-0.392435\pi\)
−0.794820 + 0.606845i \(0.792435\pi\)
\(12\) 2.81647 + 2.01680i 0.813046 + 0.582200i
\(13\) −3.79520 + 2.75737i −1.05260 + 0.764758i −0.972705 0.232045i \(-0.925458\pi\)
−0.0798941 + 0.996803i \(0.525458\pi\)
\(14\) −0.205881 + 0.386826i −0.0550240 + 0.103384i
\(15\) −1.89744 3.37634i −0.489918 0.871768i
\(16\) −1.50447 + 3.70629i −0.376117 + 0.926572i
\(17\) −4.30413 1.39850i −1.04391 0.339185i −0.263631 0.964623i \(-0.584920\pi\)
−0.780274 + 0.625438i \(0.784920\pi\)
\(18\) 4.13624 0.944224i 0.974920 0.222556i
\(19\) 5.24788 + 1.70514i 1.20395 + 0.391186i 0.841212 0.540706i \(-0.181843\pi\)
0.362735 + 0.931892i \(0.381843\pi\)
\(20\) 3.27883 3.04126i 0.733169 0.680046i
\(21\) 0.187436 + 0.502891i 0.0409019 + 0.109740i
\(22\) −1.17648 2.41464i −0.250827 0.514803i
\(23\) 5.20321 + 3.78035i 1.08494 + 0.788257i 0.978538 0.206065i \(-0.0660660\pi\)
0.106405 + 0.994323i \(0.466066\pi\)
\(24\) 2.17606 + 4.38917i 0.444185 + 0.895935i
\(25\) −4.76097 + 1.52747i −0.952194 + 0.305494i
\(26\) −6.57006 + 0.920633i −1.28850 + 0.180551i
\(27\) 2.49342 4.55882i 0.479859 0.877345i
\(28\) −0.514046 + 0.346120i −0.0971456 + 0.0654105i
\(29\) −6.49757 + 2.11119i −1.20657 + 0.392038i −0.842173 0.539207i \(-0.818724\pi\)
−0.364395 + 0.931245i \(0.618724\pi\)
\(30\) −0.125397 5.47579i −0.0228942 0.999738i
\(31\) −5.73466 1.86330i −1.02997 0.334659i −0.255195 0.966890i \(-0.582140\pi\)
−0.774780 + 0.632231i \(0.782140\pi\)
\(32\) −4.34080 + 3.62732i −0.767352 + 0.641226i
\(33\) −3.16912 0.882374i −0.551673 0.153602i
\(34\) −4.44408 4.60574i −0.762154 0.789877i
\(35\) 0.684528 0.107120i 0.115706 0.0181066i
\(36\) 5.79108 + 1.56951i 0.965180 + 0.261585i
\(37\) 3.24583 2.35823i 0.533611 0.387691i −0.288096 0.957602i \(-0.593022\pi\)
0.821707 + 0.569911i \(0.193022\pi\)
\(38\) 5.41852 + 5.61562i 0.879000 + 0.910974i
\(39\) −4.49158 + 6.77094i −0.719228 + 1.08422i
\(40\) 6.11405 1.61813i 0.966717 0.255849i
\(41\) −0.902077 1.24160i −0.140881 0.193906i 0.732746 0.680502i \(-0.238238\pi\)
−0.873627 + 0.486596i \(0.838238\pi\)
\(42\) −0.100146 + 0.752353i −0.0154528 + 0.116091i
\(43\) 3.75970i 0.573349i −0.958028 0.286674i \(-0.907450\pi\)
0.958028 0.286674i \(-0.0925498\pi\)
\(44\) 0.135662 3.79616i 0.0204518 0.572292i
\(45\) −5.12192 4.33197i −0.763531 0.645771i
\(46\) 3.98389 + 8.17664i 0.587393 + 1.20558i
\(47\) 2.19448 + 6.75392i 0.320098 + 0.985161i 0.973605 + 0.228240i \(0.0732971\pi\)
−0.653507 + 0.756921i \(0.726703\pi\)
\(48\) −0.199746 + 6.92532i −0.0288308 + 0.999584i
\(49\) 6.90399 0.986284
\(50\) −6.95854 1.25649i −0.984086 0.177694i
\(51\) −7.83151 + 0.333888i −1.09663 + 0.0467536i
\(52\) −8.81381 3.21610i −1.22226 0.445993i
\(53\) 0.721525 0.234438i 0.0991091 0.0322025i −0.259043 0.965866i \(-0.583407\pi\)
0.358152 + 0.933663i \(0.383407\pi\)
\(54\) 6.14187 4.03453i 0.835803 0.549029i
\(55\) −1.93507 + 3.78048i −0.260925 + 0.509759i
\(56\) −0.871715 + 0.0905438i −0.116488 + 0.0120994i
\(57\) 9.54870 0.407098i 1.26476 0.0539215i
\(58\) −9.51436 1.68164i −1.24930 0.220810i
\(59\) 11.0576 8.03382i 1.43958 1.04591i 0.451447 0.892298i \(-0.350908\pi\)
0.988131 0.153617i \(-0.0490921\pi\)
\(60\) 3.48180 6.91933i 0.449498 0.893281i
\(61\) −7.66779 5.57097i −0.981760 0.713290i −0.0236585 0.999720i \(-0.507531\pi\)
−0.958101 + 0.286430i \(0.907531\pi\)
\(62\) −5.92112 6.13650i −0.751984 0.779337i
\(63\) 0.608411 + 0.702802i 0.0766526 + 0.0885448i
\(64\) −7.82922 + 1.64416i −0.978653 + 0.205520i
\(65\) 7.40358 + 7.43104i 0.918301 + 0.921707i
\(66\) −3.37006 3.20726i −0.414826 0.394786i
\(67\) −6.37132 2.07017i −0.778380 0.252911i −0.107232 0.994234i \(-0.534199\pi\)
−0.671149 + 0.741323i \(0.734199\pi\)
\(68\) −2.48778 8.70266i −0.301687 1.05535i
\(69\) 10.7315 + 2.98796i 1.29192 + 0.359708i
\(70\) 0.925744 + 0.321100i 0.110648 + 0.0383787i
\(71\) 0.750346 + 2.30933i 0.0890497 + 0.274067i 0.985657 0.168759i \(-0.0539760\pi\)
−0.896608 + 0.442826i \(0.853976\pi\)
\(72\) 6.18677 + 5.80723i 0.729118 + 0.684388i
\(73\) −7.60274 5.52372i −0.889834 0.646502i 0.0460010 0.998941i \(-0.485352\pi\)
−0.935835 + 0.352439i \(0.885352\pi\)
\(74\) 5.61902 0.787367i 0.653198 0.0915296i
\(75\) −6.80300 + 5.35903i −0.785542 + 0.618808i
\(76\) 3.03326 + 10.6109i 0.347939 + 1.21715i
\(77\) 0.345915 0.476111i 0.0394207 0.0542579i
\(78\) −10.1062 + 5.46849i −1.14430 + 0.619185i
\(79\) 1.81171 0.588659i 0.203833 0.0662293i −0.205321 0.978695i \(-0.565824\pi\)
0.409154 + 0.912465i \(0.365824\pi\)
\(80\) 8.70797 + 2.04235i 0.973581 + 0.228341i
\(81\) 1.28909 8.90720i 0.143233 0.989689i
\(82\) −0.301186 2.14940i −0.0332604 0.237362i
\(83\) −0.792743 + 2.43981i −0.0870149 + 0.267804i −0.985091 0.172037i \(-0.944965\pi\)
0.898076 + 0.439841i \(0.144965\pi\)
\(84\) −0.624917 + 0.872700i −0.0681840 + 0.0952194i
\(85\) −1.60156 + 9.99208i −0.173713 + 1.08379i
\(86\) 2.49810 4.69363i 0.269377 0.506127i
\(87\) −9.26837 + 7.35689i −0.993673 + 0.788741i
\(88\) 2.69169 4.64900i 0.286935 0.495586i
\(89\) 5.28769 7.27788i 0.560494 0.771454i −0.430895 0.902402i \(-0.641802\pi\)
0.991389 + 0.130948i \(0.0418021\pi\)
\(90\) −3.51590 8.81127i −0.370608 0.928789i
\(91\) −0.854388 1.17596i −0.0895642 0.123275i
\(92\) −0.459388 + 12.8548i −0.0478945 + 1.34021i
\(93\) −10.4344 + 0.444859i −1.08200 + 0.0461297i
\(94\) −1.74798 + 9.88974i −0.180291 + 1.02005i
\(95\) 1.95272 12.1830i 0.200345 1.24995i
\(96\) −4.85084 + 8.51289i −0.495087 + 0.868844i
\(97\) 3.88035 + 11.9425i 0.393990 + 1.21258i 0.929745 + 0.368204i \(0.120027\pi\)
−0.535755 + 0.844374i \(0.679973\pi\)
\(98\) 8.61898 + 4.58730i 0.870649 + 0.463387i
\(99\) −5.67719 + 0.484963i −0.570579 + 0.0487406i
\(100\) −7.85222 6.19215i −0.785222 0.619215i
\(101\) 8.75109i 0.870766i −0.900245 0.435383i \(-0.856613\pi\)
0.900245 0.435383i \(-0.143387\pi\)
\(102\) −9.99875 4.78675i −0.990024 0.473959i
\(103\) 4.44126 1.44305i 0.437610 0.142188i −0.0819226 0.996639i \(-0.526106\pi\)
0.519533 + 0.854451i \(0.326106\pi\)
\(104\) −8.86630 9.87127i −0.869413 0.967957i
\(105\) 1.04618 0.587934i 0.102097 0.0573765i
\(106\) 1.05653 + 0.186738i 0.102619 + 0.0181376i
\(107\) −0.307528 −0.0297299 −0.0148649 0.999890i \(-0.504732\pi\)
−0.0148649 + 0.999890i \(0.504732\pi\)
\(108\) 10.3483 0.955808i 0.995762 0.0919727i
\(109\) 7.14020 5.18766i 0.683908 0.496888i −0.190744 0.981640i \(-0.561090\pi\)
0.874652 + 0.484752i \(0.161090\pi\)
\(110\) −4.92766 + 3.43383i −0.469834 + 0.327403i
\(111\) 3.84140 5.79082i 0.364610 0.549640i
\(112\) −1.14842 0.466168i −0.108515 0.0440488i
\(113\) 5.33456 + 7.34239i 0.501833 + 0.690714i 0.982516 0.186181i \(-0.0596109\pi\)
−0.480682 + 0.876895i \(0.659611\pi\)
\(114\) 12.1911 + 5.83633i 1.14181 + 0.546622i
\(115\) 6.55269 12.8017i 0.611041 1.19377i
\(116\) −10.7604 8.42110i −0.999081 0.781880i
\(117\) −3.19393 + 13.7062i −0.295279 + 1.26713i
\(118\) 19.1424 2.68233i 1.76220 0.246929i
\(119\) 0.433332 1.33366i 0.0397235 0.122256i
\(120\) 8.94419 6.32468i 0.816489 0.577361i
\(121\) −2.28447 7.03087i −0.207679 0.639170i
\(122\) −5.87092 12.0496i −0.531528 1.09092i
\(123\) −2.21512 1.46942i −0.199731 0.132493i
\(124\) −3.31462 11.5951i −0.297661 1.04127i
\(125\) 5.02037 + 9.98979i 0.449035 + 0.893514i
\(126\) 0.292573 + 1.28164i 0.0260645 + 0.114177i
\(127\) −8.06366 + 11.0987i −0.715534 + 0.984848i 0.284127 + 0.958787i \(0.408296\pi\)
−0.999660 + 0.0260609i \(0.991704\pi\)
\(128\) −10.8665 3.14948i −0.960472 0.278378i
\(129\) −2.27429 6.10194i −0.200240 0.537246i
\(130\) 4.30518 + 14.1962i 0.377589 + 1.24509i
\(131\) 0.458670 1.41164i 0.0400742 0.123336i −0.929018 0.370035i \(-0.879346\pi\)
0.969092 + 0.246699i \(0.0793458\pi\)
\(132\) −2.07617 6.24317i −0.180707 0.543398i
\(133\) −0.528348 + 1.62609i −0.0458136 + 0.141000i
\(134\) −6.57849 6.81778i −0.568295 0.588966i
\(135\) −10.9333 3.93240i −0.940986 0.338447i
\(136\) 2.67666 12.5174i 0.229522 1.07336i
\(137\) 10.6892 + 14.7124i 0.913236 + 1.25696i 0.966050 + 0.258357i \(0.0831811\pi\)
−0.0528136 + 0.998604i \(0.516819\pi\)
\(138\) 11.4120 + 10.8607i 0.971450 + 0.924520i
\(139\) 6.52821 8.98531i 0.553715 0.762124i −0.436795 0.899561i \(-0.643887\pi\)
0.990510 + 0.137437i \(0.0438865\pi\)
\(140\) 0.942352 + 1.01597i 0.0796433 + 0.0858647i
\(141\) 7.64715 + 9.63404i 0.644006 + 0.811332i
\(142\) −0.597677 + 3.38154i −0.0501559 + 0.283772i
\(143\) 8.90981 0.745075
\(144\) 3.86504 + 11.3605i 0.322086 + 0.946710i
\(145\) 6.91027 + 13.6245i 0.573866 + 1.13145i
\(146\) −5.82112 11.9474i −0.481759 0.988775i
\(147\) 11.2051 4.17632i 0.924179 0.344457i
\(148\) 7.53798 + 2.75056i 0.619618 + 0.226094i
\(149\) 10.3539i 0.848222i 0.905610 + 0.424111i \(0.139413\pi\)
−0.905610 + 0.424111i \(0.860587\pi\)
\(150\) −12.0537 + 2.17006i −0.984178 + 0.177184i
\(151\) 19.3082i 1.57128i 0.618685 + 0.785639i \(0.287666\pi\)
−0.618685 + 0.785639i \(0.712334\pi\)
\(152\) −3.26356 + 15.2621i −0.264710 + 1.23792i
\(153\) −12.5084 + 5.27928i −1.01125 + 0.426805i
\(154\) 0.748191 0.364540i 0.0602909 0.0293755i
\(155\) −2.13385 + 13.3131i −0.171395 + 1.06933i
\(156\) −16.2501 + 0.111911i −1.30105 + 0.00896005i
\(157\) 5.03933 0.402182 0.201091 0.979573i \(-0.435551\pi\)
0.201091 + 0.979573i \(0.435551\pi\)
\(158\) 2.65287 + 0.468888i 0.211051 + 0.0373027i
\(159\) 1.02921 0.816949i 0.0816216 0.0647883i
\(160\) 9.51407 + 8.33562i 0.752153 + 0.658989i
\(161\) −1.17136 + 1.61224i −0.0923164 + 0.127063i
\(162\) 7.52763 10.2633i 0.591426 0.806359i
\(163\) 6.18477 + 8.51261i 0.484429 + 0.666759i 0.979348 0.202180i \(-0.0648025\pi\)
−0.494920 + 0.868939i \(0.664803\pi\)
\(164\) 1.05215 2.88344i 0.0821591 0.225159i
\(165\) −0.853732 + 7.30621i −0.0664629 + 0.568788i
\(166\) −2.61078 + 2.51914i −0.202636 + 0.195524i
\(167\) 1.55001 4.77044i 0.119943 0.369148i −0.873003 0.487716i \(-0.837830\pi\)
0.992946 + 0.118568i \(0.0378303\pi\)
\(168\) −1.36001 + 0.674263i −0.104927 + 0.0520205i
\(169\) 2.78321 8.56584i 0.214093 0.658911i
\(170\) −8.63855 + 11.4100i −0.662547 + 0.875110i
\(171\) 15.2511 6.43685i 1.16628 0.492238i
\(172\) 6.23729 4.19971i 0.475589 0.320225i
\(173\) 7.28298 10.0242i 0.553715 0.762123i −0.436796 0.899561i \(-0.643887\pi\)
0.990510 + 0.137438i \(0.0438868\pi\)
\(174\) −16.4589 + 3.02610i −1.24775 + 0.229408i
\(175\) −0.473295 1.47521i −0.0357778 0.111516i
\(176\) 6.44931 4.01538i 0.486135 0.302670i
\(177\) 13.0866 19.7277i 0.983646 1.48282i
\(178\) 11.4369 5.57239i 0.857233 0.417668i
\(179\) 6.67793 + 20.5526i 0.499132 + 1.53617i 0.810417 + 0.585854i \(0.199241\pi\)
−0.311285 + 0.950317i \(0.600759\pi\)
\(180\) 1.46531 13.3361i 0.109218 0.994018i
\(181\) 6.78493 20.8819i 0.504320 1.55214i −0.297592 0.954693i \(-0.596183\pi\)
0.801911 0.597443i \(-0.203817\pi\)
\(182\) −0.285263 2.03577i −0.0211451 0.150902i
\(183\) −15.8147 4.40326i −1.16905 0.325498i
\(184\) −9.11479 + 15.7428i −0.671951 + 1.16057i
\(185\) −6.33188 6.35536i −0.465529 0.467256i
\(186\) −13.3219 6.37769i −0.976813 0.467635i
\(187\) 5.05230 + 6.95389i 0.369461 + 0.508519i
\(188\) −8.75335 + 11.1850i −0.638403 + 0.815748i
\(189\) 1.41258 + 0.772601i 0.102750 + 0.0561985i
\(190\) 10.5327 13.9119i 0.764122 1.00927i
\(191\) −4.26831 + 3.10111i −0.308844 + 0.224389i −0.731400 0.681948i \(-0.761133\pi\)
0.422556 + 0.906337i \(0.361133\pi\)
\(192\) −11.7121 + 7.40445i −0.845251 + 0.534370i
\(193\) 2.61953 0.188558 0.0942788 0.995546i \(-0.469945\pi\)
0.0942788 + 0.995546i \(0.469945\pi\)
\(194\) −3.09084 + 17.4874i −0.221909 + 1.25552i
\(195\) 16.5110 + 7.58194i 1.18238 + 0.542954i
\(196\) 7.71199 + 11.4536i 0.550857 + 0.818116i
\(197\) −21.8387 + 7.09582i −1.55594 + 0.505556i −0.955720 0.294277i \(-0.904921\pi\)
−0.600222 + 0.799834i \(0.704921\pi\)
\(198\) −7.40967 3.16673i −0.526582 0.225050i
\(199\) 6.62396i 0.469560i −0.972049 0.234780i \(-0.924563\pi\)
0.972049 0.234780i \(-0.0754370\pi\)
\(200\) −5.68843 12.9477i −0.402233 0.915537i
\(201\) −11.5928 + 0.494247i −0.817695 + 0.0348615i
\(202\) 5.81459 10.9249i 0.409113 0.768674i
\(203\) −0.654164 2.01331i −0.0459133 0.141307i
\(204\) −9.30198 12.6194i −0.651269 0.883535i
\(205\) −2.43107 + 2.42209i −0.169793 + 0.169166i
\(206\) 6.50332 + 1.14944i 0.453108 + 0.0800854i
\(207\) 19.2245 1.64222i 1.33620 0.114142i
\(208\) −4.50987 18.2145i −0.312703 1.26295i
\(209\) −6.16010 8.47865i −0.426103 0.586480i
\(210\) 1.69671 0.0388550i 0.117084 0.00268125i
\(211\) 9.71127 13.3664i 0.668551 0.920182i −0.331175 0.943569i \(-0.607445\pi\)
0.999726 + 0.0233873i \(0.00744509\pi\)
\(212\) 1.19490 + 0.935125i 0.0820658 + 0.0642246i
\(213\) 2.61474 + 3.29411i 0.179159 + 0.225709i
\(214\) −0.383920 0.204335i −0.0262442 0.0139680i
\(215\) −8.30586 + 1.29976i −0.566455 + 0.0886431i
\(216\) 13.5539 + 5.68258i 0.922226 + 0.386650i
\(217\) 0.577355 1.77692i 0.0391934 0.120625i
\(218\) 12.3608 1.73206i 0.837177 0.117310i
\(219\) −15.6805 4.36590i −1.05959 0.295020i
\(220\) −8.43330 + 1.01266i −0.568573 + 0.0682738i
\(221\) 20.1912 6.56052i 1.35821 0.441309i
\(222\) 8.64329 4.67691i 0.580100 0.313893i
\(223\) −12.0612 + 16.6009i −0.807679 + 1.11168i 0.183998 + 0.982927i \(0.441096\pi\)
−0.991677 + 0.128749i \(0.958904\pi\)
\(224\) −1.12395 1.34502i −0.0750968 0.0898681i
\(225\) −7.79941 + 12.8129i −0.519960 + 0.854190i
\(226\) 1.78110 + 12.7108i 0.118477 + 0.845509i
\(227\) −9.87438 7.17416i −0.655386 0.476166i 0.209716 0.977762i \(-0.432746\pi\)
−0.865102 + 0.501597i \(0.832746\pi\)
\(228\) 11.3416 + 15.3864i 0.751115 + 1.01899i
\(229\) 0.971101 + 2.98874i 0.0641721 + 0.197502i 0.978002 0.208596i \(-0.0668893\pi\)
−0.913830 + 0.406097i \(0.866889\pi\)
\(230\) 16.6864 11.6279i 1.10027 0.766720i
\(231\) 0.273409 0.981970i 0.0179890 0.0646089i
\(232\) −7.83806 17.6626i −0.514594 1.15961i
\(233\) 8.86597 + 2.88073i 0.580829 + 0.188723i 0.584672 0.811270i \(-0.301223\pi\)
−0.00384306 + 0.999993i \(0.501223\pi\)
\(234\) −13.0943 + 14.9887i −0.855999 + 0.979840i
\(235\) 14.1620 7.18290i 0.923826 0.468561i
\(236\) 25.6797 + 9.37036i 1.67161 + 0.609958i
\(237\) 2.58428 2.05131i 0.167867 0.133247i
\(238\) 1.42711 1.37702i 0.0925061 0.0892593i
\(239\) −18.5823 13.5009i −1.20199 0.873298i −0.207512 0.978232i \(-0.566537\pi\)
−0.994479 + 0.104935i \(0.966537\pi\)
\(240\) 15.3684 1.95287i 0.992023 0.126057i
\(241\) −6.49962 + 4.72225i −0.418677 + 0.304187i −0.777105 0.629371i \(-0.783313\pi\)
0.358428 + 0.933557i \(0.383313\pi\)
\(242\) 1.81966 10.2953i 0.116972 0.661806i
\(243\) −3.29591 15.2360i −0.211433 0.977393i
\(244\) 0.676985 18.9437i 0.0433395 1.21275i
\(245\) −2.38677 15.2522i −0.152485 0.974425i
\(246\) −1.78902 3.30625i −0.114064 0.210799i
\(247\) −24.6185 + 7.99903i −1.56644 + 0.508966i
\(248\) 3.56628 16.6777i 0.226459 1.05904i
\(249\) 0.189265 + 4.43932i 0.0119942 + 0.281330i
\(250\) −0.370175 + 15.8071i −0.0234119 + 0.999726i
\(251\) 26.8547 1.69505 0.847527 0.530752i \(-0.178091\pi\)
0.847527 + 0.530752i \(0.178091\pi\)
\(252\) −0.486323 + 1.79440i −0.0306355 + 0.113037i
\(253\) −3.77474 11.6175i −0.237316 0.730383i
\(254\) −17.4411 + 8.49781i −1.09435 + 0.533200i
\(255\) 3.44504 + 17.1858i 0.215737 + 1.07622i
\(256\) −11.4731 11.1520i −0.717072 0.696999i
\(257\) 3.87994i 0.242024i 0.992651 + 0.121012i \(0.0386140\pi\)
−0.992651 + 0.121012i \(0.961386\pi\)
\(258\) 1.21514 9.12883i 0.0756513 0.568336i
\(259\) 0.730712 + 1.00574i 0.0454042 + 0.0624936i
\(260\) −4.05794 + 20.5832i −0.251663 + 1.27651i
\(261\) −10.5921 + 17.5467i −0.655637 + 1.08611i
\(262\) 1.51056 1.45754i 0.0933227 0.0900472i
\(263\) −11.2726 + 8.19005i −0.695101 + 0.505020i −0.878333 0.478049i \(-0.841344\pi\)
0.183232 + 0.983070i \(0.441344\pi\)
\(264\) 1.55632 9.17350i 0.0957848 0.564590i
\(265\) −0.767353 1.51293i −0.0471381 0.0929387i
\(266\) −1.74003 + 1.67896i −0.106688 + 0.102944i
\(267\) 4.17935 15.0105i 0.255772 0.918627i
\(268\) −3.68260 12.8824i −0.224951 0.786916i
\(269\) −13.6533 4.43622i −0.832456 0.270481i −0.138376 0.990380i \(-0.544188\pi\)
−0.694079 + 0.719899i \(0.744188\pi\)
\(270\) −11.0363 12.1737i −0.671648 0.740870i
\(271\) 1.44312 0.468897i 0.0876630 0.0284834i −0.264857 0.964288i \(-0.585325\pi\)
0.352520 + 0.935804i \(0.385325\pi\)
\(272\) 11.6587 13.8484i 0.706910 0.839680i
\(273\) −2.09802 1.39174i −0.126978 0.0842321i
\(274\) 3.56890 + 25.4693i 0.215605 + 1.53866i
\(275\) 9.02073 + 2.96798i 0.543971 + 0.178976i
\(276\) 7.03048 + 21.1411i 0.423185 + 1.27254i
\(277\) 10.4349 + 7.58142i 0.626974 + 0.455523i 0.855350 0.518050i \(-0.173342\pi\)
−0.228377 + 0.973573i \(0.573342\pi\)
\(278\) 14.1201 6.87970i 0.846865 0.412617i
\(279\) −16.6658 + 7.03391i −0.997754 + 0.421109i
\(280\) 0.501388 + 1.89447i 0.0299636 + 0.113217i
\(281\) −24.2794 7.88884i −1.44838 0.470609i −0.523884 0.851789i \(-0.675518\pi\)
−0.924501 + 0.381181i \(0.875518\pi\)
\(282\) 3.14549 + 17.1083i 0.187311 + 1.01878i
\(283\) −2.52345 0.819917i −0.150003 0.0487390i 0.233053 0.972464i \(-0.425128\pi\)
−0.383056 + 0.923725i \(0.625128\pi\)
\(284\) −2.99298 + 3.82441i −0.177601 + 0.226937i
\(285\) −4.20043 20.9541i −0.248812 1.24121i
\(286\) 11.1231 + 5.92005i 0.657720 + 0.350060i
\(287\) 0.384718 0.279514i 0.0227092 0.0164992i
\(288\) −2.72327 + 16.7506i −0.160470 + 0.987041i
\(289\) 2.81646 + 2.04628i 0.165674 + 0.120369i
\(290\) −0.425837 + 21.6003i −0.0250060 + 1.26841i
\(291\) 13.5219 + 17.0352i 0.792670 + 0.998622i
\(292\) 0.671242 18.7830i 0.0392815 1.09919i
\(293\) 25.7575i 1.50477i −0.658726 0.752383i \(-0.728904\pi\)
0.658726 0.752383i \(-0.271096\pi\)
\(294\) 16.7634 + 2.23138i 0.977661 + 0.130137i
\(295\) −21.5709 21.6509i −1.25591 1.26056i
\(296\) 7.58287 + 8.44236i 0.440745 + 0.490702i
\(297\) −8.92064 + 4.22130i −0.517628 + 0.244945i
\(298\) −6.87954 + 12.9258i −0.398521 + 0.748773i
\(299\) −30.1710 −1.74484
\(300\) −16.4897 5.29985i −0.952036 0.305987i
\(301\) 1.16497 0.0671475
\(302\) −12.8292 + 24.1045i −0.738236 + 1.38706i
\(303\) −5.29365 14.2029i −0.304112 0.815935i
\(304\) −14.2150 + 16.8848i −0.815287 + 0.968412i
\(305\) −9.65647 + 18.8655i −0.552928 + 1.08023i
\(306\) −19.1234 1.72045i −1.09321 0.0983516i
\(307\) 12.4595i 0.711099i 0.934657 + 0.355550i \(0.115706\pi\)
−0.934657 + 0.355550i \(0.884294\pi\)
\(308\) 1.17626 + 0.0420356i 0.0670237 + 0.00239520i
\(309\) 6.33517 5.02863i 0.360395 0.286069i
\(310\) −11.5097 + 15.2023i −0.653705 + 0.863432i
\(311\) −6.46908 4.70006i −0.366828 0.266516i 0.389067 0.921210i \(-0.372798\pi\)
−0.755894 + 0.654694i \(0.772798\pi\)
\(312\) −20.3611 10.6576i −1.15272 0.603366i
\(313\) −18.1139 + 13.1605i −1.02386 + 0.743875i −0.967070 0.254511i \(-0.918085\pi\)
−0.0567864 + 0.998386i \(0.518085\pi\)
\(314\) 6.29113 + 3.34834i 0.355029 + 0.188958i
\(315\) 1.34228 1.58706i 0.0756292 0.0894205i
\(316\) 3.00031 + 2.34804i 0.168781 + 0.132088i
\(317\) −16.3147 5.30095i −0.916323 0.297731i −0.187365 0.982290i \(-0.559995\pi\)
−0.728957 + 0.684559i \(0.759995\pi\)
\(318\) 1.82769 0.336034i 0.102492 0.0188439i
\(319\) 12.3408 + 4.00976i 0.690950 + 0.224503i
\(320\) 6.33888 + 16.7278i 0.354354 + 0.935111i
\(321\) −0.499113 + 0.186028i −0.0278578 + 0.0103831i
\(322\) −2.53358 + 1.23443i −0.141191 + 0.0687922i
\(323\) −20.2029 14.6783i −1.12412 0.816722i
\(324\) 16.2169 7.81106i 0.900938 0.433948i
\(325\) 13.8570 18.9248i 0.768650 1.04976i
\(326\) 2.06497 + 14.7366i 0.114368 + 0.816185i
\(327\) 8.45036 12.7387i 0.467306 0.704452i
\(328\) 3.22939 2.90062i 0.178313 0.160160i
\(329\) −2.09274 + 0.679973i −0.115377 + 0.0374881i
\(330\) −5.92035 + 8.55386i −0.325905 + 0.470874i
\(331\) −33.9964 11.0461i −1.86861 0.607149i −0.992047 0.125867i \(-0.959829\pi\)
−0.876566 0.481282i \(-0.840171\pi\)
\(332\) −4.93314 + 1.41020i −0.270741 + 0.0773950i
\(333\) 2.73159 11.7221i 0.149690 0.642369i
\(334\) 5.10472 4.92555i 0.279318 0.269514i
\(335\) −2.37075 + 14.7911i −0.129528 + 0.808123i
\(336\) −2.14585 0.0618923i −0.117066 0.00337650i
\(337\) −3.49101 + 2.53637i −0.190167 + 0.138165i −0.678795 0.734328i \(-0.737498\pi\)
0.488628 + 0.872492i \(0.337498\pi\)
\(338\) 9.16608 8.84436i 0.498569 0.481070i
\(339\) 13.0994 + 8.68964i 0.711463 + 0.471957i
\(340\) −18.3657 + 8.50454i −0.996021 + 0.461223i
\(341\) 6.73149 + 9.26510i 0.364531 + 0.501733i
\(342\) 23.3165 + 2.09769i 1.26081 + 0.113430i
\(343\) 4.30823i 0.232623i
\(344\) 10.5771 1.09863i 0.570281 0.0592343i
\(345\) 2.89097 24.7408i 0.155645 1.33200i
\(346\) 15.7526 7.67510i 0.846864 0.412616i
\(347\) −4.70767 14.4887i −0.252721 0.777795i −0.994270 0.106896i \(-0.965909\pi\)
0.741549 0.670898i \(-0.234091\pi\)
\(348\) −22.5581 7.15819i −1.20924 0.383719i
\(349\) 6.71463 0.359426 0.179713 0.983719i \(-0.442483\pi\)
0.179713 + 0.983719i \(0.442483\pi\)
\(350\) 0.389329 2.15614i 0.0208105 0.115251i
\(351\) 3.10734 + 24.1769i 0.165858 + 1.29047i
\(352\) 10.7193 0.727629i 0.571343 0.0387828i
\(353\) −12.7469 + 4.14173i −0.678451 + 0.220442i −0.627917 0.778280i \(-0.716092\pi\)
−0.0505337 + 0.998722i \(0.516092\pi\)
\(354\) 29.4452 15.9329i 1.56500 0.846823i
\(355\) 4.84232 2.45601i 0.257004 0.130351i
\(356\) 17.9804 + 0.642560i 0.952961 + 0.0340556i
\(357\) −0.103457 2.42664i −0.00547553 0.128431i
\(358\) −5.31921 + 30.0950i −0.281129 + 1.59057i
\(359\) 19.8499 14.4218i 1.04764 0.761153i 0.0758753 0.997117i \(-0.475825\pi\)
0.971762 + 0.235965i \(0.0758249\pi\)
\(360\) 10.6904 15.6753i 0.563433 0.826162i
\(361\) 9.26145 + 6.72883i 0.487445 + 0.354149i
\(362\) 22.3451 21.5608i 1.17443 1.13321i
\(363\) −7.96073 10.0291i −0.417830 0.526391i
\(364\) 0.996528 2.73101i 0.0522322 0.143144i
\(365\) −9.57455 + 18.7054i −0.501155 + 0.979087i
\(366\) −16.8174 16.0050i −0.879060 0.836593i
\(367\) 29.8410 + 9.69594i 1.55769 + 0.506124i 0.956190 0.292748i \(-0.0945698\pi\)
0.601500 + 0.798872i \(0.294570\pi\)
\(368\) −21.8391 + 13.5972i −1.13844 + 0.708801i
\(369\) −4.48398 1.04490i −0.233427 0.0543951i
\(370\) −3.68198 12.1412i −0.191417 0.631193i
\(371\) 0.0726419 + 0.223569i 0.00377138 + 0.0116071i
\(372\) −12.3936 16.8136i −0.642578 0.871745i
\(373\) 2.56104 + 1.86070i 0.132606 + 0.0963436i 0.652111 0.758124i \(-0.273884\pi\)
−0.519505 + 0.854467i \(0.673884\pi\)
\(374\) 1.68686 + 12.0382i 0.0872256 + 0.622483i
\(375\) 14.1909 + 13.1764i 0.732817 + 0.680426i
\(376\) −18.3595 + 8.14730i −0.946819 + 0.420165i
\(377\) 18.8382 25.9286i 0.970218 1.33539i
\(378\) 1.25012 + 1.90310i 0.0642993 + 0.0978847i
\(379\) 16.6493 5.40969i 0.855217 0.277877i 0.151588 0.988444i \(-0.451561\pi\)
0.703630 + 0.710567i \(0.251561\pi\)
\(380\) 22.3927 10.3693i 1.14872 0.531934i
\(381\) −6.37346 + 22.8908i −0.326522 + 1.17273i
\(382\) −7.38910 + 1.03540i −0.378059 + 0.0529757i
\(383\) 6.59223 20.2888i 0.336847 1.03671i −0.628958 0.777439i \(-0.716518\pi\)
0.965805 0.259270i \(-0.0834818\pi\)
\(384\) −19.5413 + 1.46173i −0.997214 + 0.0745934i
\(385\) −1.17140 0.599593i −0.0597002 0.0305581i
\(386\) 3.27023 + 1.74052i 0.166450 + 0.0885903i
\(387\) −7.38229 8.52760i −0.375263 0.433482i
\(388\) −15.4780 + 19.7776i −0.785774 + 1.00406i
\(389\) −4.43623 + 6.10594i −0.224926 + 0.309583i −0.906533 0.422134i \(-0.861281\pi\)
0.681608 + 0.731718i \(0.261281\pi\)
\(390\) 15.5747 + 20.4360i 0.788656 + 1.03481i
\(391\) −17.1085 23.5478i −0.865213 1.19086i
\(392\) 2.01743 + 19.4229i 0.101896 + 0.981007i
\(393\) −0.109506 2.56853i −0.00552387 0.129565i
\(394\) −31.9783 5.65207i −1.61104 0.284747i
\(395\) −1.92678 3.79888i −0.0969467 0.191142i
\(396\) −7.14617 8.87666i −0.359108 0.446069i
\(397\) −8.37440 25.7738i −0.420299 1.29355i −0.907424 0.420216i \(-0.861954\pi\)
0.487125 0.873332i \(-0.338046\pi\)
\(398\) 4.40124 8.26939i 0.220614 0.414507i
\(399\) 0.126142 + 2.95872i 0.00631498 + 0.148121i
\(400\) 1.50149 19.9436i 0.0750744 0.997178i
\(401\) 15.4298i 0.770526i −0.922807 0.385263i \(-0.874111\pi\)
0.922807 0.385263i \(-0.125889\pi\)
\(402\) −14.8009 7.08574i −0.738204 0.353404i
\(403\) 26.9020 8.74099i 1.34008 0.435420i
\(404\) 14.5179 9.77527i 0.722294 0.486338i
\(405\) −20.1233 + 0.231460i −0.999934 + 0.0115013i
\(406\) 0.521065 2.94808i 0.0258600 0.146311i
\(407\) −7.62007 −0.377713
\(408\) −3.22779 21.9348i −0.159799 1.08593i
\(409\) −23.6000 + 17.1464i −1.16694 + 0.847834i −0.990640 0.136502i \(-0.956414\pi\)
−0.176303 + 0.984336i \(0.556414\pi\)
\(410\) −4.64430 + 1.40844i −0.229365 + 0.0695580i
\(411\) 26.2480 + 17.4119i 1.29472 + 0.858867i
\(412\) 7.35504 + 5.75605i 0.362357 + 0.283580i
\(413\) 2.48933 + 3.42626i 0.122492 + 0.168595i
\(414\) 25.0912 + 10.7234i 1.23316 + 0.527028i
\(415\) 5.66405 + 0.907848i 0.278037 + 0.0445645i
\(416\) 6.47232 25.7356i 0.317332 1.26179i
\(417\) 5.15985 18.5320i 0.252679 0.907517i
\(418\) −2.05674 14.6778i −0.100598 0.717916i
\(419\) −8.89913 + 27.3887i −0.434751 + 1.33803i 0.458591 + 0.888648i \(0.348354\pi\)
−0.893342 + 0.449378i \(0.851646\pi\)
\(420\) 2.14399 + 1.07886i 0.104616 + 0.0526427i
\(421\) 7.02569 + 21.6229i 0.342411 + 1.05383i 0.962955 + 0.269662i \(0.0869119\pi\)
−0.620544 + 0.784172i \(0.713088\pi\)
\(422\) 21.0048 10.2341i 1.02250 0.498190i
\(423\) 18.2390 + 11.0100i 0.886809 + 0.535326i
\(424\) 0.870380 + 1.96135i 0.0422694 + 0.0952518i
\(425\) 22.6280 + 0.0837748i 1.09762 + 0.00406367i
\(426\) 1.07552 + 5.84973i 0.0521090 + 0.283420i
\(427\) 1.72620 2.37591i 0.0835366 0.114978i
\(428\) −0.343519 0.510185i −0.0166046 0.0246607i
\(429\) 14.4605 5.38966i 0.698159 0.260215i
\(430\) −11.2327 3.89613i −0.541689 0.187888i
\(431\) −4.98781 + 15.3509i −0.240255 + 0.739428i 0.756126 + 0.654426i \(0.227090\pi\)
−0.996381 + 0.0850017i \(0.972910\pi\)
\(432\) 13.1450 + 16.0999i 0.632441 + 0.774609i
\(433\) −3.93756 + 12.1186i −0.189227 + 0.582380i −0.999996 0.00298628i \(-0.999049\pi\)
0.810769 + 0.585367i \(0.199049\pi\)
\(434\) 1.90143 1.83469i 0.0912716 0.0880682i
\(435\) 19.4569 + 17.9322i 0.932886 + 0.859781i
\(436\) 16.5821 + 6.05070i 0.794139 + 0.289776i
\(437\) 20.8598 + 28.7110i 0.997859 + 1.37343i
\(438\) −16.6747 15.8692i −0.796750 0.758260i
\(439\) −0.00992669 + 0.0136629i −0.000473775 + 0.000652095i −0.809254 0.587459i \(-0.800128\pi\)
0.808780 + 0.588111i \(0.200128\pi\)
\(440\) −11.2010 4.33922i −0.533989 0.206864i
\(441\) 15.6593 13.5562i 0.745683 0.645533i
\(442\) 29.5659 + 5.22569i 1.40631 + 0.248561i
\(443\) −13.3387 −0.633739 −0.316870 0.948469i \(-0.602632\pi\)
−0.316870 + 0.948469i \(0.602632\pi\)
\(444\) 13.8979 0.0957113i 0.659564 0.00454226i
\(445\) −17.9062 9.16544i −0.848834 0.434484i
\(446\) −26.0876 + 12.7106i −1.23528 + 0.601865i
\(447\) 6.26319 + 16.8042i 0.296239 + 0.794810i
\(448\) −0.509452 2.42593i −0.0240694 0.114614i
\(449\) 34.1036i 1.60945i −0.593649 0.804724i \(-0.702313\pi\)
0.593649 0.804724i \(-0.297687\pi\)
\(450\) −18.2502 + 10.8134i −0.860324 + 0.509748i
\(451\) 2.91485i 0.137255i
\(452\) −6.22204 + 17.0517i −0.292660 + 0.802043i
\(453\) 11.6798 + 31.3369i 0.548764 + 1.47234i
\(454\) −7.56043 15.5172i −0.354828 0.728259i
\(455\) −2.30255 + 2.29404i −0.107945 + 0.107546i
\(456\) 3.93554 + 26.7443i 0.184298 + 1.25242i
\(457\) −31.6417 −1.48014 −0.740069 0.672531i \(-0.765207\pi\)
−0.740069 + 0.672531i \(0.765207\pi\)
\(458\) −0.773516 + 4.37640i −0.0361440 + 0.204496i
\(459\) −17.1075 + 16.1347i −0.798510 + 0.753104i
\(460\) 28.5575 3.42916i 1.33150 0.159885i
\(461\) −7.09986 + 9.77212i −0.330673 + 0.455133i −0.941688 0.336486i \(-0.890762\pi\)
0.611015 + 0.791619i \(0.290762\pi\)
\(462\) 0.993787 1.04423i 0.0462352 0.0485821i
\(463\) 20.5543 + 28.2905i 0.955238 + 1.31477i 0.949161 + 0.314791i \(0.101934\pi\)
0.00607669 + 0.999982i \(0.498066\pi\)
\(464\) 1.95071 27.2581i 0.0905597 1.26542i
\(465\) 4.59004 + 22.8977i 0.212858 + 1.06186i
\(466\) 9.15425 + 9.48723i 0.424062 + 0.439488i
\(467\) 3.83021 11.7882i 0.177241 0.545492i −0.822488 0.568783i \(-0.807414\pi\)
0.999729 + 0.0232909i \(0.00741440\pi\)
\(468\) −26.3060 + 10.0116i −1.21600 + 0.462785i
\(469\) 0.641453 1.97419i 0.0296196 0.0911596i
\(470\) 22.4525 + 0.442638i 1.03566 + 0.0204174i
\(471\) 8.17875 3.04836i 0.376857 0.140461i
\(472\) 25.8327 + 28.7607i 1.18904 + 1.32382i
\(473\) −4.19723 + 5.77700i −0.192989 + 0.265627i
\(474\) 4.58921 0.843761i 0.210789 0.0387552i
\(475\) −27.5896 0.102144i −1.26590 0.00468668i
\(476\) 2.69657 0.770852i 0.123597 0.0353319i
\(477\) 1.17621 1.94848i 0.0538549 0.0892147i
\(478\) −14.2278 29.2014i −0.650763 1.33564i
\(479\) 0.322045 + 0.991153i 0.0147146 + 0.0452869i 0.958144 0.286286i \(-0.0924207\pi\)
−0.943430 + 0.331573i \(0.892421\pi\)
\(480\) 20.4835 + 7.77340i 0.934940 + 0.354805i
\(481\) −5.81604 + 17.8999i −0.265189 + 0.816166i
\(482\) −11.2518 + 1.57667i −0.512506 + 0.0718151i
\(483\) −0.925837 + 3.32522i −0.0421271 + 0.151303i
\(484\) 9.11229 11.6436i 0.414195 0.529256i
\(485\) 25.0417 12.7010i 1.13708 0.576725i
\(486\) 6.00883 21.2107i 0.272566 0.962137i
\(487\) −15.6093 21.4843i −0.707323 0.973547i −0.999851 0.0172900i \(-0.994496\pi\)
0.292527 0.956257i \(-0.405504\pi\)
\(488\) 13.4322 23.1996i 0.608045 1.05020i
\(489\) 15.1872 + 10.0746i 0.686788 + 0.455588i
\(490\) 7.15452 20.6268i 0.323208 0.931822i
\(491\) 25.8833 18.8053i 1.16810 0.848671i 0.177316 0.984154i \(-0.443259\pi\)
0.990780 + 0.135483i \(0.0432586\pi\)
\(492\) −0.0366117 5.31625i −0.00165058 0.239675i
\(493\) 30.9189 1.39252
\(494\) −36.0487 6.37151i −1.62191 0.286668i
\(495\) 3.03403 + 12.3743i 0.136370 + 0.556183i
\(496\) 15.5336 18.4510i 0.697477 0.828475i
\(497\) −0.715558 + 0.232499i −0.0320972 + 0.0104290i
\(498\) −2.71339 + 5.66783i −0.121590 + 0.253982i
\(499\) 22.0312i 0.986252i 0.869958 + 0.493126i \(0.164146\pi\)
−0.869958 + 0.493126i \(0.835854\pi\)
\(500\) −10.9650 + 19.4877i −0.490370 + 0.871515i
\(501\) −0.370061 8.67997i −0.0165331 0.387792i
\(502\) 33.5256 + 17.8434i 1.49632 + 0.796389i
\(503\) 5.57845 + 17.1687i 0.248731 + 0.765514i 0.995000 + 0.0998705i \(0.0318429\pi\)
−0.746270 + 0.665644i \(0.768157\pi\)
\(504\) −1.79940 + 1.91701i −0.0801518 + 0.0853903i
\(505\) −19.3328 + 3.02533i −0.860296 + 0.134626i
\(506\) 3.00671 17.0114i 0.133665 0.756249i
\(507\) −0.664484 15.5858i −0.0295108 0.692191i
\(508\) −27.4199 0.979896i −1.21656 0.0434758i
\(509\) 17.7421 + 24.4200i 0.786406 + 1.08240i 0.994546 + 0.104296i \(0.0332590\pi\)
−0.208140 + 0.978099i \(0.566741\pi\)
\(510\) −7.11815 + 23.7439i −0.315197 + 1.05140i
\(511\) 1.71156 2.35575i 0.0757147 0.104212i
\(512\) −6.91330 21.5454i −0.305528 0.952183i
\(513\) 20.8586 19.6725i 0.920930 0.868563i
\(514\) −2.57800 + 4.84374i −0.113711 + 0.213648i
\(515\) −4.72335 9.31267i −0.208136 0.410365i
\(516\) 7.58256 10.5891i 0.333804 0.466159i
\(517\) 4.16796 12.8277i 0.183307 0.564160i
\(518\) 0.243970 + 1.74109i 0.0107194 + 0.0764989i
\(519\) 5.75641 20.6746i 0.252679 0.907516i
\(520\) −18.7423 + 22.9999i −0.821902 + 1.00861i
\(521\) 2.15432 0.699982i 0.0943826 0.0306668i −0.261445 0.965218i \(-0.584199\pi\)
0.355828 + 0.934552i \(0.384199\pi\)
\(522\) −24.8820 + 14.8675i −1.08906 + 0.650734i
\(523\) 2.94584 4.05459i 0.128812 0.177295i −0.739739 0.672893i \(-0.765051\pi\)
0.868552 + 0.495598i \(0.165051\pi\)
\(524\) 2.85424 0.815925i 0.124688 0.0356438i
\(525\) −1.66053 2.10795i −0.0724714 0.0919984i
\(526\) −19.5146 + 2.73450i −0.850879 + 0.119230i
\(527\) 22.0769 + 16.0398i 0.961685 + 0.698705i
\(528\) 8.03818 10.4182i 0.349817 0.453393i
\(529\) 5.67491 + 17.4656i 0.246735 + 0.759373i
\(530\) 0.0472872 2.39862i 0.00205403 0.104189i
\(531\) 9.30576 39.9339i 0.403835 1.73299i
\(532\) −3.28784 + 0.939874i −0.142546 + 0.0407487i
\(533\) 6.84712 + 2.22477i 0.296582 + 0.0963653i
\(534\) 15.1911 15.9622i 0.657384 0.690754i
\(535\) 0.106315 + 0.679386i 0.00459641 + 0.0293724i
\(536\) 3.96220 18.5293i 0.171141 0.800344i
\(537\) 23.2707 + 29.3169i 1.00421 + 1.26512i
\(538\) −14.0972 14.6100i −0.607775 0.629883i
\(539\) −10.6084 7.70744i −0.456935 0.331983i
\(540\) −5.68904 22.5308i −0.244817 0.969569i
\(541\) 2.54633 1.85001i 0.109475 0.0795383i −0.531701 0.846932i \(-0.678447\pi\)
0.641176 + 0.767394i \(0.278447\pi\)
\(542\) 2.11315 + 0.373493i 0.0907675 + 0.0160429i
\(543\) −1.61988 37.9952i −0.0695159 1.63053i
\(544\) 23.7562 9.54187i 1.01854 0.409104i
\(545\) −13.9289 13.9806i −0.596650 0.598863i
\(546\) −1.69444 3.13147i −0.0725155 0.134014i
\(547\) 19.1348 6.21729i 0.818147 0.265832i 0.130103 0.991501i \(-0.458469\pi\)
0.688045 + 0.725668i \(0.258469\pi\)
\(548\) −12.4674 + 34.1674i −0.532583 + 1.45956i
\(549\) −28.3305 + 2.42008i −1.20912 + 0.103287i
\(550\) 9.28949 + 9.69900i 0.396105 + 0.413567i
\(551\) −37.6983 −1.60600
\(552\) −5.27012 + 31.0640i −0.224311 + 1.32217i
\(553\) 0.182399 + 0.561367i 0.00775641 + 0.0238718i
\(554\) 7.98961 + 16.3981i 0.339446 + 0.696688i
\(555\) −14.1210 6.48442i −0.599402 0.275248i
\(556\) 22.1987 + 0.793308i 0.941436 + 0.0336438i
\(557\) 2.68419i 0.113733i −0.998382 0.0568664i \(-0.981889\pi\)
0.998382 0.0568664i \(-0.0181109\pi\)
\(558\) −25.4793 2.29226i −1.07862 0.0970391i
\(559\) 10.3669 + 14.2688i 0.438473 + 0.603507i
\(560\) −0.632833 + 2.69822i −0.0267421 + 0.114020i
\(561\) 12.4063 + 8.22986i 0.523795 + 0.347465i
\(562\) −25.0688 25.9807i −1.05746 1.09593i
\(563\) −5.37175 + 3.90280i −0.226392 + 0.164483i −0.695199 0.718817i \(-0.744684\pi\)
0.468807 + 0.883301i \(0.344684\pi\)
\(564\) −7.44061 + 23.4481i −0.313306 + 0.987342i
\(565\) 14.3765 14.3233i 0.604823 0.602588i
\(566\) −2.60550 2.70027i −0.109517 0.113501i
\(567\) 2.75995 + 0.399433i 0.115907 + 0.0167746i
\(568\) −6.27755 + 2.78576i −0.263400 + 0.116888i
\(569\) 16.1239 + 5.23898i 0.675950 + 0.219629i 0.626821 0.779163i \(-0.284356\pi\)
0.0491284 + 0.998792i \(0.484356\pi\)
\(570\) 8.67892 28.9501i 0.363520 1.21259i
\(571\) −10.2552 + 3.33210i −0.429165 + 0.139444i −0.515631 0.856811i \(-0.672443\pi\)
0.0864661 + 0.996255i \(0.472443\pi\)
\(572\) 9.95256 + 14.7812i 0.416137 + 0.618035i
\(573\) −5.05150 + 7.61502i −0.211030 + 0.318122i
\(574\) 0.666004 0.0933241i 0.0277985 0.00389527i
\(575\) −30.5467 10.0504i −1.27388 0.419131i
\(576\) −14.5296 + 19.1021i −0.605399 + 0.795922i
\(577\) −0.900509 0.654258i −0.0374887 0.0272371i 0.568883 0.822418i \(-0.307376\pi\)
−0.606372 + 0.795181i \(0.707376\pi\)
\(578\) 2.15646 + 4.42597i 0.0896967 + 0.184096i
\(579\) 4.25145 1.58459i 0.176684 0.0658532i
\(580\) −14.8838 + 26.6830i −0.618015 + 1.10795i
\(581\) −0.755990 0.245636i −0.0313638 0.0101907i
\(582\) 5.56195 + 30.2514i 0.230550 + 1.25396i
\(583\) −1.37038 0.445265i −0.0567555 0.0184410i
\(584\) 13.3182 23.0028i 0.551111 0.951864i
\(585\) 31.3836 + 2.31763i 1.29755 + 0.0958220i
\(586\) 17.1143 32.1558i 0.706986 1.32834i
\(587\) −6.04530 + 4.39217i −0.249516 + 0.181284i −0.705512 0.708698i \(-0.749283\pi\)
0.455996 + 0.889982i \(0.349283\pi\)
\(588\) 19.4449 + 13.9240i 0.801894 + 0.574215i
\(589\) −26.9176 19.5568i −1.10912 0.805824i
\(590\) −12.5435 41.3617i −0.516406 1.70283i
\(591\) −31.1515 + 24.7269i −1.28140 + 1.01713i
\(592\) 3.85704 + 15.5779i 0.158523 + 0.640246i
\(593\) 41.8958i 1.72045i 0.509912 + 0.860226i \(0.329678\pi\)
−0.509912 + 0.860226i \(0.670322\pi\)
\(594\) −13.9414 0.657350i −0.572022 0.0269714i
\(595\) −3.09611 0.496252i −0.126928 0.0203443i
\(596\) −17.1769 + 11.5656i −0.703594 + 0.473746i
\(597\) −4.00692 10.7506i −0.163992 0.439992i
\(598\) −37.6657 20.0469i −1.54027 0.819779i
\(599\) 30.2844 1.23739 0.618693 0.785633i \(-0.287662\pi\)
0.618693 + 0.785633i \(0.287662\pi\)
\(600\) −17.0645 17.5728i −0.696653 0.717408i
\(601\) −5.91631 −0.241331 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(602\) 1.45435 + 0.774051i 0.0592748 + 0.0315480i
\(603\) −18.5160 + 7.81481i −0.754030 + 0.318244i
\(604\) −32.0320 + 21.5679i −1.30336 + 0.877586i
\(605\) −14.7427 + 7.47745i −0.599377 + 0.304001i
\(606\) 2.82836 21.2483i 0.114894 0.863153i
\(607\) 6.47572i 0.262842i −0.991327 0.131421i \(-0.958046\pi\)
0.991327 0.131421i \(-0.0419539\pi\)
\(608\) −28.9651 + 11.6341i −1.17469 + 0.471824i
\(609\) −2.27958 2.87186i −0.0923731 0.116374i
\(610\) −24.5902 + 17.1356i −0.995628 + 0.693801i
\(611\) −26.9516 19.5815i −1.09034 0.792182i
\(612\) −22.7306 14.8542i −0.918831 0.600445i
\(613\) 14.2311 10.3395i 0.574787 0.417607i −0.262054 0.965053i \(-0.584400\pi\)
0.836841 + 0.547446i \(0.184400\pi\)
\(614\) −8.27859 + 15.5545i −0.334097 + 0.627727i
\(615\) −2.48044 + 5.40159i −0.100021 + 0.217813i
\(616\) 1.44052 + 0.834035i 0.0580402 + 0.0336042i
\(617\) −20.9543 6.80846i −0.843587 0.274098i −0.144830 0.989457i \(-0.546263\pi\)
−0.698758 + 0.715358i \(0.746263\pi\)
\(618\) 11.2501 2.06842i 0.452545 0.0832039i
\(619\) −19.7409 6.41419i −0.793452 0.257808i −0.115879 0.993263i \(-0.536968\pi\)
−0.677573 + 0.735455i \(0.736968\pi\)
\(620\) −24.4698 + 11.3311i −0.982730 + 0.455069i
\(621\) 30.2077 14.2945i 1.21219 0.573618i
\(622\) −4.95312 10.1659i −0.198602 0.407616i
\(623\) 2.25509 + 1.63842i 0.0903484 + 0.0656420i
\(624\) −18.3376 26.8338i −0.734093 1.07421i
\(625\) 20.3337 14.5445i 0.813347 0.581779i
\(626\) −31.3578 + 4.39403i −1.25331 + 0.175621i
\(627\) −15.1266 10.0344i −0.604098 0.400735i
\(628\) 5.62910 + 8.36017i 0.224626 + 0.333607i
\(629\) −17.2685 + 5.61086i −0.688538 + 0.223720i
\(630\) 2.73022 1.08942i 0.108775 0.0434036i
\(631\) −30.4448 9.89211i −1.21199 0.393799i −0.367830 0.929893i \(-0.619899\pi\)
−0.844158 + 0.536094i \(0.819899\pi\)
\(632\) 2.18547 + 4.92484i 0.0869334 + 0.195900i
\(633\) 7.67572 27.5680i 0.305082 1.09573i
\(634\) −16.8451 17.4579i −0.669006 0.693341i
\(635\) 27.3067 + 13.9772i 1.08363 + 0.554667i
\(636\) 2.50497 + 0.794884i 0.0993285 + 0.0315192i
\(637\) −26.2020 + 19.0369i −1.03816 + 0.754269i
\(638\) 12.7420 + 13.2055i 0.504462 + 0.522812i
\(639\) 6.23634 + 3.76459i 0.246706 + 0.148925i
\(640\) −3.20114 + 25.0949i −0.126536 + 0.991962i
\(641\) 27.9458 + 38.4641i 1.10379 + 1.51924i 0.830258 + 0.557379i \(0.188193\pi\)
0.273535 + 0.961862i \(0.411807\pi\)
\(642\) −0.746701 0.0993935i −0.0294699 0.00392275i
\(643\) 39.1531i 1.54405i 0.635594 + 0.772024i \(0.280755\pi\)
−0.635594 + 0.772024i \(0.719245\pi\)
\(644\) −3.98314 0.142344i −0.156958 0.00560914i
\(645\) −12.6940 + 7.13382i −0.499828 + 0.280894i
\(646\) −15.4686 31.7482i −0.608604 1.24911i
\(647\) −2.07945 6.39988i −0.0817515 0.251605i 0.901824 0.432104i \(-0.142229\pi\)
−0.983575 + 0.180499i \(0.942229\pi\)
\(648\) 25.4352 + 1.02380i 0.999191 + 0.0402186i
\(649\) −25.9594 −1.01900
\(650\) 29.8736 14.4187i 1.17174 0.565547i
\(651\) −0.137842 3.23316i −0.00540246 0.126718i
\(652\) −7.21369 + 19.7693i −0.282510 + 0.774226i
\(653\) 26.7002 8.67542i 1.04486 0.339495i 0.264210 0.964465i \(-0.414889\pi\)
0.780649 + 0.624970i \(0.214889\pi\)
\(654\) 19.0136 10.2883i 0.743491 0.402304i
\(655\) −3.27714 0.525268i −0.128048 0.0205239i
\(656\) 5.95888 1.47541i 0.232655 0.0576049i
\(657\) −28.0902 + 2.39955i −1.09590 + 0.0936154i
\(658\) −3.06439 0.541623i −0.119462 0.0211146i
\(659\) −10.1120 + 7.34678i −0.393906 + 0.286190i −0.767054 0.641582i \(-0.778278\pi\)
0.373148 + 0.927772i \(0.378278\pi\)
\(660\) −13.0745 + 6.74496i −0.508926 + 0.262547i
\(661\) 18.2915 + 13.2896i 0.711457 + 0.516904i 0.883644 0.468160i \(-0.155083\pi\)
−0.172186 + 0.985064i \(0.555083\pi\)
\(662\) −35.1018 36.3787i −1.36427 1.41390i
\(663\) 28.8015 22.8616i 1.11856 0.887870i
\(664\) −7.09556 1.51727i −0.275361 0.0588816i
\(665\) 3.77498 + 0.605063i 0.146387 + 0.0234633i
\(666\) 11.1988 12.8190i 0.433945 0.496726i
\(667\) −41.7892 13.5781i −1.61808 0.525747i
\(668\) 9.64550 2.75730i 0.373196 0.106683i
\(669\) −9.53310 + 34.2389i −0.368571 + 1.32375i
\(670\) −12.7875 + 16.8900i −0.494023 + 0.652519i
\(671\) 5.56271 + 17.1202i 0.214746 + 0.660920i
\(672\) −2.63777 1.50306i −0.101754 0.0579818i
\(673\) 12.8972 + 9.37034i 0.497149 + 0.361200i 0.807927 0.589283i \(-0.200590\pi\)
−0.310778 + 0.950483i \(0.600590\pi\)
\(674\) −6.04346 + 0.846843i −0.232786 + 0.0326192i
\(675\) −4.90765 + 25.5130i −0.188895 + 0.981997i
\(676\) 17.3195 4.95103i 0.666136 0.190424i
\(677\) 23.1821 31.9074i 0.890960 1.22630i −0.0823033 0.996607i \(-0.526228\pi\)
0.973263 0.229694i \(-0.0737724\pi\)
\(678\) 10.5796 + 19.5520i 0.406308 + 0.750890i
\(679\) −3.70045 + 1.20235i −0.142010 + 0.0461420i
\(680\) −28.5786 1.58583i −1.09594 0.0608139i
\(681\) −20.3657 5.67040i −0.780416 0.217290i
\(682\) 2.24751 + 16.0393i 0.0860617 + 0.614176i
\(683\) −7.28659 + 22.4258i −0.278814 + 0.858100i 0.709371 + 0.704835i \(0.248979\pi\)
−0.988185 + 0.153265i \(0.951021\pi\)
\(684\) 27.7147 + 18.1112i 1.05970 + 0.692500i
\(685\) 28.8069 28.7005i 1.10066 1.09659i
\(686\) −2.86257 + 5.37842i −0.109293 + 0.205349i
\(687\) 3.38401 + 4.26325i 0.129108 + 0.162653i
\(688\) 13.9345 + 5.65635i 0.531249 + 0.215646i
\(689\) −2.09190 + 2.87925i −0.0796950 + 0.109691i
\(690\) 20.0479 28.9657i 0.763212 1.10271i
\(691\) 10.9643 + 15.0910i 0.417100 + 0.574089i 0.964932 0.262500i \(-0.0845468\pi\)
−0.547832 + 0.836588i \(0.684547\pi\)
\(692\) 24.7653 + 0.885028i 0.941435 + 0.0336437i
\(693\) −0.150269 1.75911i −0.00570823 0.0668231i
\(694\) 3.74983 21.2158i 0.142341 0.805339i
\(695\) −22.1070 11.3157i −0.838568 0.429229i
\(696\) −23.4054 23.9248i −0.887180 0.906869i
\(697\) 2.14628 + 6.60557i 0.0812962 + 0.250204i
\(698\) 8.38258 + 4.46148i 0.317285 + 0.168870i
\(699\) 16.1319 0.687766i 0.610165 0.0260137i
\(700\) 1.91867 2.43306i 0.0725190 0.0919608i
\(701\) 22.0139i 0.831452i −0.909490 0.415726i \(-0.863528\pi\)
0.909490 0.415726i \(-0.136472\pi\)
\(702\) −12.1849 + 32.2473i −0.459891 + 1.21709i
\(703\) 21.0548 6.84113i 0.794098 0.258018i
\(704\) 13.8656 + 6.21400i 0.522578 + 0.234199i
\(705\) 18.6397 20.2245i 0.702010 0.761699i
\(706\) −18.6653 3.29903i −0.702477 0.124161i
\(707\) 2.71158 0.101979
\(708\) 47.3461 0.326061i 1.77937 0.0122541i
\(709\) −26.2223 + 19.0516i −0.984798 + 0.715498i −0.958776 0.284164i \(-0.908284\pi\)
−0.0260224 + 0.999661i \(0.508284\pi\)
\(710\) 7.67706 + 0.151348i 0.288115 + 0.00568001i
\(711\) 2.95339 4.89251i 0.110761 0.183483i
\(712\) 22.0199 + 12.7491i 0.825232 + 0.477794i
\(713\) −22.7947 31.3742i −0.853667 1.17497i
\(714\) 1.48320 3.09817i 0.0555075 0.115946i
\(715\) −3.08020 19.6834i −0.115193 0.736117i
\(716\) −26.6369 + 34.0365i −0.995469 + 1.27200i
\(717\) −38.3257 10.6710i −1.43130 0.398515i
\(718\) 34.3632 4.81515i 1.28242 0.179700i
\(719\) 11.1789 34.4052i 0.416903 1.28310i −0.493634 0.869669i \(-0.664332\pi\)
0.910538 0.413426i \(-0.135668\pi\)
\(720\) 23.7613 12.4660i 0.885531 0.464581i
\(721\) 0.447138 + 1.37615i 0.0166523 + 0.0512505i
\(722\) 7.09112 + 14.5540i 0.263904 + 0.541644i
\(723\) −7.69223 + 11.5958i −0.286077 + 0.431254i
\(724\) 42.2217 12.0697i 1.56916 0.448565i
\(725\) 27.7099 19.9761i 1.02912 0.741895i
\(726\) −3.27447 17.8098i −0.121527 0.660984i
\(727\) −9.73296 + 13.3963i −0.360976 + 0.496840i −0.950420 0.310969i \(-0.899347\pi\)
0.589445 + 0.807809i \(0.299347\pi\)
\(728\) 3.05867 2.74728i 0.113362 0.101821i
\(729\) −14.5657 22.7341i −0.539470 0.842005i
\(730\) −24.3816 + 16.9902i −0.902404 + 0.628837i
\(731\) −5.25793 + 16.1822i −0.194472 + 0.598522i
\(732\) −10.3606 31.1549i −0.382938 1.15152i
\(733\) −2.17150 + 6.68320i −0.0802063 + 0.246850i −0.983117 0.182979i \(-0.941426\pi\)
0.902911 + 0.429829i \(0.141426\pi\)
\(734\) 30.8113 + 31.9321i 1.13727 + 1.17864i
\(735\) −13.0999 23.3102i −0.483199 0.859811i
\(736\) −36.2986 + 2.46395i −1.33798 + 0.0908224i
\(737\) 7.47882 + 10.2937i 0.275486 + 0.379174i
\(738\) −4.90355 4.28380i −0.180502 0.157689i
\(739\) 13.1867 18.1499i 0.485081 0.667656i −0.494391 0.869240i \(-0.664609\pi\)
0.979471 + 0.201584i \(0.0646088\pi\)
\(740\) 3.47053 17.6037i 0.127579 0.647123i
\(741\) −35.1167 + 27.8743i −1.29004 + 1.02399i
\(742\) −0.0578618 + 0.327371i −0.00212417 + 0.0120182i
\(743\) 45.8197 1.68096 0.840480 0.541842i \(-0.182273\pi\)
0.840480 + 0.541842i \(0.182273\pi\)
\(744\) −4.30058 29.2250i −0.157667 1.07144i
\(745\) 22.8736 3.57943i 0.838023 0.131140i
\(746\) 1.96089 + 4.02457i 0.0717932 + 0.147350i
\(747\) 2.99258 + 7.09046i 0.109493 + 0.259426i
\(748\) −5.89282 + 16.1494i −0.215463 + 0.590482i
\(749\) 0.0952894i 0.00348180i
\(750\) 8.96111 + 25.8785i 0.327214 + 0.944950i
\(751\) 12.7397i 0.464880i −0.972611 0.232440i \(-0.925329\pi\)
0.972611 0.232440i \(-0.0746709\pi\)
\(752\) −28.3335 2.02768i −1.03322 0.0739418i
\(753\) 43.5848 16.2448i 1.58832 0.591992i
\(754\) 40.7458 19.8525i 1.48387 0.722986i
\(755\) 42.6553 6.67502i 1.55239 0.242929i
\(756\) 0.296163 + 3.20647i 0.0107713 + 0.116618i
\(757\) 8.77358 0.318881 0.159441 0.987208i \(-0.449031\pi\)
0.159441 + 0.987208i \(0.449031\pi\)
\(758\) 24.3795 + 4.30901i 0.885504 + 0.156510i
\(759\) −13.1539 16.5716i −0.477456 0.601509i
\(760\) 34.8450 + 1.93355i 1.26396 + 0.0701373i
\(761\) −19.8575 + 27.3316i −0.719836 + 0.990769i 0.279694 + 0.960089i \(0.409767\pi\)
−0.999529 + 0.0306793i \(0.990233\pi\)
\(762\) −23.1663 + 24.3422i −0.839225 + 0.881825i
\(763\) 1.60743 + 2.21243i 0.0581928 + 0.0800955i
\(764\) −9.91255 3.61702i −0.358624 0.130859i
\(765\) 15.9872 + 25.8083i 0.578018 + 0.933103i
\(766\) 21.7105 20.9485i 0.784432 0.756900i
\(767\) −19.8136 + 60.9799i −0.715427 + 2.20186i
\(768\) −25.3667 11.1592i −0.915343 0.402675i
\(769\) −5.09067 + 15.6675i −0.183574 + 0.564984i −0.999921 0.0125785i \(-0.995996\pi\)
0.816346 + 0.577563i \(0.195996\pi\)
\(770\) −1.06399 1.52686i −0.0383436 0.0550244i
\(771\) 2.34703 + 6.29709i 0.0845262 + 0.226784i
\(772\) 2.92610 + 4.34576i 0.105313 + 0.156407i
\(773\) −8.59165 + 11.8254i −0.309020 + 0.425330i −0.935075 0.354449i \(-0.884668\pi\)
0.626055 + 0.779779i \(0.284668\pi\)