Properties

Label 168.2.ba.c.101.3
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.3
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33258 + 0.473539i) q^{2} +(-1.52791 + 0.815778i) q^{3} +(1.55152 - 1.26205i) q^{4} +(0.461663 - 0.266541i) q^{5} +(1.64975 - 1.81061i) q^{6} +(0.489180 + 2.60014i) q^{7} +(-1.46989 + 2.41649i) q^{8} +(1.66901 - 2.49287i) q^{9} +O(q^{10})\) \(q+(-1.33258 + 0.473539i) q^{2} +(-1.52791 + 0.815778i) q^{3} +(1.55152 - 1.26205i) q^{4} +(0.461663 - 0.266541i) q^{5} +(1.64975 - 1.81061i) q^{6} +(0.489180 + 2.60014i) q^{7} +(-1.46989 + 2.41649i) q^{8} +(1.66901 - 2.49287i) q^{9} +(-0.488984 + 0.573802i) q^{10} +(-2.28733 + 3.96177i) q^{11} +(-1.34103 + 3.19400i) q^{12} -4.97924 q^{13} +(-1.88313 - 3.23323i) q^{14} +(-0.487941 + 0.783866i) q^{15} +(0.814443 - 3.91621i) q^{16} +(-2.16139 + 3.74363i) q^{17} +(-1.04362 + 4.11228i) q^{18} +(0.921087 + 1.59537i) q^{19} +(0.379891 - 0.996188i) q^{20} +(-2.86856 - 3.57371i) q^{21} +(1.17199 - 6.36250i) q^{22} +(0.103387 - 0.0596907i) q^{23} +(0.274542 - 4.89128i) q^{24} +(-2.35791 + 4.08402i) q^{25} +(6.63522 - 2.35786i) q^{26} +(-0.516471 + 5.17042i) q^{27} +(4.04048 + 3.41680i) q^{28} +7.74542 q^{29} +(0.279028 - 1.27562i) q^{30} +(-1.93668 - 1.11814i) q^{31} +(0.769168 + 5.60432i) q^{32} +(0.262906 - 7.91918i) q^{33} +(1.10746 - 6.01218i) q^{34} +(0.918880 + 1.07000i) q^{35} +(-0.556624 - 5.97413i) q^{36} +(7.02261 - 4.05451i) q^{37} +(-1.98289 - 1.68978i) q^{38} +(7.60783 - 4.06195i) q^{39} +(-0.0345007 + 1.50739i) q^{40} +2.60914 q^{41} +(5.51486 + 3.40387i) q^{42} +1.87217i q^{43} +(1.45112 + 9.03351i) q^{44} +(0.106069 - 1.59573i) q^{45} +(-0.109506 + 0.128500i) q^{46} +(-2.91482 - 5.04861i) q^{47} +(1.95036 + 6.64801i) q^{48} +(-6.52141 + 2.54387i) q^{49} +(1.20816 - 6.55884i) q^{50} +(0.248430 - 7.48314i) q^{51} +(-7.72540 + 6.28407i) q^{52} +(2.29287 - 3.97137i) q^{53} +(-1.76016 - 7.13455i) q^{54} +2.43867i q^{55} +(-7.00224 - 2.63982i) q^{56} +(-2.70880 - 1.68618i) q^{57} +(-10.3214 + 3.66775i) q^{58} +(-5.71492 - 3.29951i) q^{59} +(0.232229 + 1.83199i) q^{60} +(1.07564 + 1.86306i) q^{61} +(3.11026 + 0.572919i) q^{62} +(7.29824 + 3.12020i) q^{63} +(-3.67884 - 7.10395i) q^{64} +(-2.29873 + 1.32717i) q^{65} +(3.39970 + 10.6774i) q^{66} +(10.4812 + 6.05131i) q^{67} +(1.37122 + 8.53611i) q^{68} +(-0.109272 + 0.175543i) q^{69} +(-1.73116 - 0.990732i) q^{70} -6.20627i q^{71} +(3.57072 + 7.69740i) q^{72} +(8.35520 + 4.82388i) q^{73} +(-7.43820 + 8.72842i) q^{74} +(0.271018 - 8.16355i) q^{75} +(3.44253 + 1.31279i) q^{76} +(-11.4201 - 4.00935i) q^{77} +(-8.21452 + 9.01547i) q^{78} +(-0.0228792 - 0.0396280i) q^{79} +(-0.667833 - 2.02505i) q^{80} +(-3.42880 - 8.32126i) q^{81} +(-3.47688 + 1.23553i) q^{82} +3.86459i q^{83} +(-8.96084 - 1.92442i) q^{84} +2.30440i q^{85} +(-0.886545 - 2.49481i) q^{86} +(-11.8343 + 6.31854i) q^{87} +(-6.21145 - 11.3507i) q^{88} +(8.23362 + 14.2610i) q^{89} +(0.614293 + 2.17666i) q^{90} +(-2.43575 - 12.9467i) q^{91} +(0.0850749 - 0.223092i) q^{92} +(3.87123 + 0.128520i) q^{93} +(6.27493 + 5.34738i) q^{94} +(0.850463 + 0.491015i) q^{95} +(-5.74710 - 7.93542i) q^{96} -7.18828i q^{97} +(7.48565 - 6.47804i) q^{98} +(6.05860 + 12.3143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33258 + 0.473539i −0.942274 + 0.334842i
\(3\) −1.52791 + 0.815778i −0.882139 + 0.470990i
\(4\) 1.55152 1.26205i 0.775761 0.631027i
\(5\) 0.461663 0.266541i 0.206462 0.119201i −0.393204 0.919451i \(-0.628633\pi\)
0.599666 + 0.800250i \(0.295300\pi\)
\(6\) 1.64975 1.81061i 0.673509 0.739179i
\(7\) 0.489180 + 2.60014i 0.184893 + 0.982759i
\(8\) −1.46989 + 2.41649i −0.519685 + 0.854358i
\(9\) 1.66901 2.49287i 0.556337 0.830956i
\(10\) −0.488984 + 0.573802i −0.154630 + 0.181452i
\(11\) −2.28733 + 3.96177i −0.689656 + 1.19452i 0.282293 + 0.959328i \(0.408905\pi\)
−0.971949 + 0.235191i \(0.924428\pi\)
\(12\) −1.34103 + 3.19400i −0.387122 + 0.922029i
\(13\) −4.97924 −1.38099 −0.690496 0.723336i \(-0.742608\pi\)
−0.690496 + 0.723336i \(0.742608\pi\)
\(14\) −1.88313 3.23323i −0.503289 0.864118i
\(15\) −0.487941 + 0.783866i −0.125986 + 0.202393i
\(16\) 0.814443 3.91621i 0.203611 0.979052i
\(17\) −2.16139 + 3.74363i −0.524213 + 0.907964i 0.475389 + 0.879775i \(0.342307\pi\)
−0.999603 + 0.0281884i \(0.991026\pi\)
\(18\) −1.04362 + 4.11228i −0.245983 + 0.969274i
\(19\) 0.921087 + 1.59537i 0.211312 + 0.366003i 0.952125 0.305708i \(-0.0988931\pi\)
−0.740814 + 0.671711i \(0.765560\pi\)
\(20\) 0.379891 0.996188i 0.0849463 0.222754i
\(21\) −2.86856 3.57371i −0.625970 0.779847i
\(22\) 1.17199 6.36250i 0.249869 1.35649i
\(23\) 0.103387 0.0596907i 0.0215577 0.0124464i −0.489182 0.872182i \(-0.662705\pi\)
0.510740 + 0.859735i \(0.329371\pi\)
\(24\) 0.274542 4.89128i 0.0560407 0.998428i
\(25\) −2.35791 + 4.08402i −0.471582 + 0.816804i
\(26\) 6.63522 2.35786i 1.30127 0.462415i
\(27\) −0.516471 + 5.17042i −0.0993949 + 0.995048i
\(28\) 4.04048 + 3.41680i 0.763580 + 0.645714i
\(29\) 7.74542 1.43829 0.719144 0.694861i \(-0.244534\pi\)
0.719144 + 0.694861i \(0.244534\pi\)
\(30\) 0.279028 1.27562i 0.0509433 0.232895i
\(31\) −1.93668 1.11814i −0.347838 0.200825i 0.315894 0.948794i \(-0.397695\pi\)
−0.663733 + 0.747970i \(0.731029\pi\)
\(32\) 0.769168 + 5.60432i 0.135971 + 0.990713i
\(33\) 0.262906 7.91918i 0.0457660 1.37855i
\(34\) 1.10746 6.01218i 0.189928 1.03108i
\(35\) 0.918880 + 1.07000i 0.155319 + 0.180863i
\(36\) −0.556624 5.97413i −0.0927707 0.995688i
\(37\) 7.02261 4.05451i 1.15451 0.666557i 0.204528 0.978861i \(-0.434434\pi\)
0.949982 + 0.312304i \(0.101101\pi\)
\(38\) −1.98289 1.68978i −0.321667 0.274119i
\(39\) 7.60783 4.06195i 1.21823 0.650433i
\(40\) −0.0345007 + 1.50739i −0.00545504 + 0.238339i
\(41\) 2.60914 0.407479 0.203740 0.979025i \(-0.434690\pi\)
0.203740 + 0.979025i \(0.434690\pi\)
\(42\) 5.51486 + 3.40387i 0.850961 + 0.525228i
\(43\) 1.87217i 0.285503i 0.989759 + 0.142752i \(0.0455950\pi\)
−0.989759 + 0.142752i \(0.954405\pi\)
\(44\) 1.45112 + 9.03351i 0.218765 + 1.36185i
\(45\) 0.106069 1.59573i 0.0158118 0.237877i
\(46\) −0.109506 + 0.128500i −0.0161457 + 0.0189463i
\(47\) −2.91482 5.04861i −0.425170 0.736415i 0.571267 0.820764i \(-0.306452\pi\)
−0.996436 + 0.0843492i \(0.973119\pi\)
\(48\) 1.95036 + 6.64801i 0.281510 + 0.959558i
\(49\) −6.52141 + 2.54387i −0.931629 + 0.363410i
\(50\) 1.20816 6.55884i 0.170859 0.927559i
\(51\) 0.248430 7.48314i 0.0347871 1.04785i
\(52\) −7.72540 + 6.28407i −1.07132 + 0.871443i
\(53\) 2.29287 3.97137i 0.314950 0.545510i −0.664476 0.747309i \(-0.731345\pi\)
0.979427 + 0.201799i \(0.0646788\pi\)
\(54\) −1.76016 7.13455i −0.239527 0.970890i
\(55\) 2.43867i 0.328830i
\(56\) −7.00224 2.63982i −0.935714 0.352761i
\(57\) −2.70880 1.68618i −0.358790 0.223339i
\(58\) −10.3214 + 3.66775i −1.35526 + 0.481600i
\(59\) −5.71492 3.29951i −0.744019 0.429559i 0.0795100 0.996834i \(-0.474664\pi\)
−0.823529 + 0.567275i \(0.807998\pi\)
\(60\) 0.232229 + 1.83199i 0.0299807 + 0.236509i
\(61\) 1.07564 + 1.86306i 0.137722 + 0.238541i 0.926634 0.375965i \(-0.122689\pi\)
−0.788912 + 0.614506i \(0.789355\pi\)
\(62\) 3.11026 + 0.572919i 0.395004 + 0.0727608i
\(63\) 7.29824 + 3.12020i 0.919492 + 0.393108i
\(64\) −3.67884 7.10395i −0.459855 0.887994i
\(65\) −2.29873 + 1.32717i −0.285123 + 0.164616i
\(66\) 3.39970 + 10.6774i 0.418474 + 1.31430i
\(67\) 10.4812 + 6.05131i 1.28048 + 0.739285i 0.976936 0.213532i \(-0.0684968\pi\)
0.303544 + 0.952817i \(0.401830\pi\)
\(68\) 1.37122 + 8.53611i 0.166285 + 1.03516i
\(69\) −0.109272 + 0.175543i −0.0131548 + 0.0211329i
\(70\) −1.73116 0.990732i −0.206914 0.118415i
\(71\) 6.20627i 0.736549i −0.929717 0.368275i \(-0.879949\pi\)
0.929717 0.368275i \(-0.120051\pi\)
\(72\) 3.57072 + 7.69740i 0.420814 + 0.907147i
\(73\) 8.35520 + 4.82388i 0.977902 + 0.564592i 0.901636 0.432496i \(-0.142367\pi\)
0.0762659 + 0.997088i \(0.475700\pi\)
\(74\) −7.43820 + 8.72842i −0.864673 + 1.01466i
\(75\) 0.271018 8.16355i 0.0312945 0.942645i
\(76\) 3.44253 + 1.31279i 0.394885 + 0.150587i
\(77\) −11.4201 4.00935i −1.30144 0.456908i
\(78\) −8.21452 + 9.01547i −0.930111 + 1.02080i
\(79\) −0.0228792 0.0396280i −0.00257411 0.00445849i 0.864735 0.502228i \(-0.167486\pi\)
−0.867310 + 0.497769i \(0.834153\pi\)
\(80\) −0.667833 2.02505i −0.0746660 0.226408i
\(81\) −3.42880 8.32126i −0.380977 0.924584i
\(82\) −3.47688 + 1.23553i −0.383957 + 0.136441i
\(83\) 3.86459i 0.424194i 0.977249 + 0.212097i \(0.0680292\pi\)
−0.977249 + 0.212097i \(0.931971\pi\)
\(84\) −8.96084 1.92442i −0.977708 0.209971i
\(85\) 2.30440i 0.249947i
\(86\) −0.886545 2.49481i −0.0955986 0.269022i
\(87\) −11.8343 + 6.31854i −1.26877 + 0.677419i
\(88\) −6.21145 11.3507i −0.662143 1.20999i
\(89\) 8.23362 + 14.2610i 0.872762 + 1.51167i 0.859128 + 0.511761i \(0.171007\pi\)
0.0136336 + 0.999907i \(0.495660\pi\)
\(90\) 0.614293 + 2.17666i 0.0647522 + 0.229440i
\(91\) −2.43575 12.9467i −0.255335 1.35718i
\(92\) 0.0850749 0.223092i 0.00886967 0.0232589i
\(93\) 3.87123 + 0.128520i 0.401428 + 0.0133269i
\(94\) 6.27493 + 5.34738i 0.647209 + 0.551540i
\(95\) 0.850463 + 0.491015i 0.0872557 + 0.0503771i
\(96\) −5.74710 7.93542i −0.586561 0.809905i
\(97\) 7.18828i 0.729859i −0.931035 0.364930i \(-0.881093\pi\)
0.931035 0.364930i \(-0.118907\pi\)
\(98\) 7.48565 6.47804i 0.756165 0.654381i
\(99\) 6.05860 + 12.3143i 0.608912 + 1.23763i
\(100\) 1.49590 + 9.31226i 0.149590 + 0.931226i
\(101\) −3.33419 1.92499i −0.331764 0.191544i 0.324860 0.945762i \(-0.394683\pi\)
−0.656624 + 0.754218i \(0.728016\pi\)
\(102\) 3.21250 + 10.0895i 0.318085 + 0.999009i
\(103\) −4.61020 + 2.66170i −0.454256 + 0.262265i −0.709626 0.704578i \(-0.751136\pi\)
0.255370 + 0.966843i \(0.417803\pi\)
\(104\) 7.31894 12.0323i 0.717682 1.17986i
\(105\) −2.27685 0.885260i −0.222198 0.0863926i
\(106\) −1.17483 + 6.37793i −0.114110 + 0.619479i
\(107\) −4.60634 7.97842i −0.445312 0.771303i 0.552762 0.833339i \(-0.313574\pi\)
−0.998074 + 0.0620363i \(0.980241\pi\)
\(108\) 5.72403 + 8.67384i 0.550795 + 0.834640i
\(109\) 4.24194 + 2.44909i 0.406304 + 0.234580i 0.689201 0.724571i \(-0.257962\pi\)
−0.282896 + 0.959151i \(0.591295\pi\)
\(110\) −1.15481 3.24972i −0.110106 0.309848i
\(111\) −7.42233 + 11.9238i −0.704497 + 1.13176i
\(112\) 10.5811 + 0.201931i 0.999818 + 0.0190807i
\(113\) 3.87615i 0.364637i −0.983240 0.182319i \(-0.941640\pi\)
0.983240 0.182319i \(-0.0583602\pi\)
\(114\) 4.40816 + 0.964236i 0.412862 + 0.0903090i
\(115\) 0.0318201 0.0551140i 0.00296724 0.00513941i
\(116\) 12.0172 9.77513i 1.11577 0.907598i
\(117\) −8.31041 + 12.4126i −0.768298 + 1.14754i
\(118\) 9.17801 + 1.69061i 0.844904 + 0.155634i
\(119\) −10.7913 3.78859i −0.989233 0.347299i
\(120\) −1.17698 2.33130i −0.107443 0.212818i
\(121\) −4.96376 8.59748i −0.451251 0.781589i
\(122\) −2.31560 1.97332i −0.209645 0.178656i
\(123\) −3.98653 + 2.12848i −0.359453 + 0.191918i
\(124\) −4.41596 + 0.709371i −0.396565 + 0.0637034i
\(125\) 5.17934i 0.463254i
\(126\) −11.2030 0.701900i −0.998043 0.0625302i
\(127\) 8.19005 0.726750 0.363375 0.931643i \(-0.381624\pi\)
0.363375 + 0.931643i \(0.381624\pi\)
\(128\) 8.26633 + 7.72449i 0.730647 + 0.682755i
\(129\) −1.52728 2.86051i −0.134469 0.251854i
\(130\) 2.43477 2.85710i 0.213543 0.250584i
\(131\) 18.5565 10.7136i 1.62129 0.936053i 0.634715 0.772746i \(-0.281117\pi\)
0.986575 0.163306i \(-0.0522159\pi\)
\(132\) −9.58652 12.6186i −0.834400 1.09831i
\(133\) −3.69760 + 3.17537i −0.320622 + 0.275340i
\(134\) −16.8325 3.10059i −1.45411 0.267851i
\(135\) 1.13970 + 2.52465i 0.0980894 + 0.217288i
\(136\) −5.86944 10.7257i −0.503300 0.919721i
\(137\) 3.91533 + 2.26052i 0.334509 + 0.193129i 0.657841 0.753157i \(-0.271470\pi\)
−0.323332 + 0.946286i \(0.604803\pi\)
\(138\) 0.0624870 0.285669i 0.00531925 0.0243178i
\(139\) −14.8300 −1.25786 −0.628931 0.777461i \(-0.716507\pi\)
−0.628931 + 0.777461i \(0.716507\pi\)
\(140\) 2.77606 + 0.500453i 0.234620 + 0.0422960i
\(141\) 8.57212 + 5.33597i 0.721903 + 0.449370i
\(142\) 2.93891 + 8.27034i 0.246628 + 0.694031i
\(143\) 11.3892 19.7266i 0.952410 1.64962i
\(144\) −8.40328 8.56650i −0.700273 0.713875i
\(145\) 3.57577 2.06447i 0.296952 0.171445i
\(146\) −13.4182 2.47168i −1.11050 0.204557i
\(147\) 7.88888 9.20682i 0.650664 0.759366i
\(148\) 5.77873 15.1536i 0.475009 1.24562i
\(149\) 10.7714 + 18.6566i 0.882425 + 1.52841i 0.848636 + 0.528977i \(0.177424\pi\)
0.0337890 + 0.999429i \(0.489243\pi\)
\(150\) 3.50460 + 11.0069i 0.286150 + 0.898709i
\(151\) 1.40767 2.43816i 0.114555 0.198415i −0.803047 0.595916i \(-0.796789\pi\)
0.917602 + 0.397501i \(0.130122\pi\)
\(152\) −5.20909 0.119224i −0.422513 0.00967034i
\(153\) 5.72500 + 11.6362i 0.462839 + 0.940733i
\(154\) 17.1167 0.0650753i 1.37930 0.00524392i
\(155\) −1.19213 −0.0957539
\(156\) 6.67731 15.9037i 0.534613 1.27331i
\(157\) 3.54427 6.13885i 0.282863 0.489933i −0.689226 0.724547i \(-0.742049\pi\)
0.972089 + 0.234613i \(0.0753824\pi\)
\(158\) 0.0492537 + 0.0419731i 0.00391841 + 0.00333920i
\(159\) −0.263543 + 7.93838i −0.0209003 + 0.629554i
\(160\) 1.84888 + 2.38229i 0.146167 + 0.188337i
\(161\) 0.205779 + 0.239622i 0.0162176 + 0.0188848i
\(162\) 8.50957 + 9.46505i 0.668575 + 0.743645i
\(163\) −5.64257 + 3.25774i −0.441960 + 0.255166i −0.704429 0.709775i \(-0.748797\pi\)
0.262469 + 0.964941i \(0.415463\pi\)
\(164\) 4.04814 3.29287i 0.316106 0.257130i
\(165\) −1.98942 3.72607i −0.154876 0.290074i
\(166\) −1.83003 5.14986i −0.142038 0.399707i
\(167\) 17.2470 1.33462 0.667308 0.744782i \(-0.267447\pi\)
0.667308 + 0.744782i \(0.267447\pi\)
\(168\) 12.8523 1.67887i 0.991576 0.129528i
\(169\) 11.7928 0.907141
\(170\) −1.09122 3.07078i −0.0836928 0.235518i
\(171\) 5.51435 + 0.366542i 0.421693 + 0.0280301i
\(172\) 2.36278 + 2.90471i 0.180160 + 0.221482i
\(173\) −14.5387 + 8.39395i −1.10536 + 0.638180i −0.937624 0.347652i \(-0.886979\pi\)
−0.167737 + 0.985832i \(0.553646\pi\)
\(174\) 12.7780 14.0239i 0.968700 1.06315i
\(175\) −11.7725 4.13307i −0.889914 0.312430i
\(176\) 13.6522 + 12.1843i 1.02907 + 0.918426i
\(177\) 11.4235 + 0.379246i 0.858646 + 0.0285058i
\(178\) −17.7251 15.1050i −1.32855 1.13217i
\(179\) 2.00982 3.48110i 0.150221 0.260190i −0.781088 0.624421i \(-0.785335\pi\)
0.931309 + 0.364231i \(0.118668\pi\)
\(180\) −1.84932 2.60967i −0.137840 0.194513i
\(181\) −14.8596 −1.10451 −0.552253 0.833676i \(-0.686232\pi\)
−0.552253 + 0.833676i \(0.686232\pi\)
\(182\) 9.37658 + 16.0991i 0.695038 + 1.19334i
\(183\) −3.16332 1.96911i −0.233840 0.145561i
\(184\) −0.00772627 + 0.337573i −0.000569588 + 0.0248862i
\(185\) 2.16139 3.74363i 0.158908 0.275237i
\(186\) −5.21957 + 1.66192i −0.382718 + 0.121858i
\(187\) −9.88761 17.1258i −0.723053 1.25237i
\(188\) −10.8940 4.15438i −0.794528 0.302989i
\(189\) −13.6964 + 1.18637i −0.996270 + 0.0862959i
\(190\) −1.36582 0.251588i −0.0990872 0.0182521i
\(191\) −17.1154 + 9.88159i −1.23843 + 0.715006i −0.968773 0.247951i \(-0.920243\pi\)
−0.269655 + 0.962957i \(0.586910\pi\)
\(192\) 11.4162 + 7.85308i 0.823892 + 0.566747i
\(193\) −6.29229 + 10.8986i −0.452929 + 0.784496i −0.998566 0.0535255i \(-0.982954\pi\)
0.545638 + 0.838021i \(0.316287\pi\)
\(194\) 3.40393 + 9.57894i 0.244388 + 0.687728i
\(195\) 2.42957 3.90305i 0.173985 0.279504i
\(196\) −6.90761 + 12.1772i −0.493401 + 0.869802i
\(197\) −8.41804 −0.599761 −0.299880 0.953977i \(-0.596947\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(198\) −13.9048 13.5407i −0.988173 0.962297i
\(199\) 12.3980 + 7.15800i 0.878873 + 0.507417i 0.870287 0.492546i \(-0.163934\pi\)
0.00858618 + 0.999963i \(0.497267\pi\)
\(200\) −6.40312 11.7009i −0.452769 0.827381i
\(201\) −20.9508 0.695538i −1.47776 0.0490595i
\(202\) 5.35462 + 0.986336i 0.376750 + 0.0693983i
\(203\) 3.78890 + 20.1391i 0.265929 + 1.41349i
\(204\) −9.05868 11.9238i −0.634234 0.834832i
\(205\) 1.20454 0.695443i 0.0841290 0.0485719i
\(206\) 4.88303 5.73003i 0.340217 0.399230i
\(207\) 0.0237536 0.357356i 0.00165099 0.0248379i
\(208\) −4.05531 + 19.4997i −0.281185 + 1.35206i
\(209\) −8.42732 −0.582930
\(210\) 3.45328 + 0.101502i 0.238299 + 0.00700433i
\(211\) 9.62315i 0.662485i 0.943546 + 0.331243i \(0.107468\pi\)
−0.943546 + 0.331243i \(0.892532\pi\)
\(212\) −1.45464 9.05541i −0.0999051 0.621928i
\(213\) 5.06294 + 9.48262i 0.346907 + 0.649739i
\(214\) 9.91640 + 8.45058i 0.677871 + 0.577669i
\(215\) 0.499011 + 0.864312i 0.0340323 + 0.0589456i
\(216\) −11.7351 8.84801i −0.798473 0.602031i
\(217\) 1.95994 5.58261i 0.133049 0.378972i
\(218\) −6.81245 1.25487i −0.461397 0.0849907i
\(219\) −16.7012 0.554457i −1.12856 0.0374667i
\(220\) 3.07773 + 3.78365i 0.207501 + 0.255094i
\(221\) 10.7621 18.6404i 0.723935 1.25389i
\(222\) 4.24444 19.4041i 0.284868 1.30232i
\(223\) 20.1840i 1.35162i −0.737076 0.675810i \(-0.763794\pi\)
0.737076 0.675810i \(-0.236206\pi\)
\(224\) −14.1957 + 4.74146i −0.948492 + 0.316802i
\(225\) 6.24555 + 12.6942i 0.416370 + 0.846283i
\(226\) 1.83551 + 5.16526i 0.122096 + 0.343588i
\(227\) −1.03403 0.597000i −0.0686313 0.0396243i 0.465292 0.885157i \(-0.345949\pi\)
−0.533923 + 0.845533i \(0.679283\pi\)
\(228\) −6.33081 + 0.802514i −0.419268 + 0.0531478i
\(229\) 11.4021 + 19.7490i 0.753472 + 1.30505i 0.946130 + 0.323786i \(0.104956\pi\)
−0.192658 + 0.981266i \(0.561711\pi\)
\(230\) −0.0163041 + 0.0885117i −0.00107506 + 0.00583629i
\(231\) 20.7195 3.19031i 1.36325 0.209907i
\(232\) −11.3849 + 18.7167i −0.747457 + 1.22881i
\(233\) −14.1080 + 8.14528i −0.924249 + 0.533615i −0.884988 0.465614i \(-0.845834\pi\)
−0.0392607 + 0.999229i \(0.512500\pi\)
\(234\) 5.19642 20.4760i 0.339701 1.33856i
\(235\) −2.69133 1.55384i −0.175563 0.101361i
\(236\) −13.0310 + 2.09327i −0.848244 + 0.136260i
\(237\) 0.0672850 + 0.0418836i 0.00437063 + 0.00272063i
\(238\) 16.1742 0.0614922i 1.04842 0.00398594i
\(239\) 20.2417i 1.30933i 0.755920 + 0.654664i \(0.227190\pi\)
−0.755920 + 0.654664i \(0.772810\pi\)
\(240\) 2.67238 + 2.54929i 0.172501 + 0.164556i
\(241\) −7.99312 4.61483i −0.514882 0.297267i 0.219956 0.975510i \(-0.429409\pi\)
−0.734838 + 0.678242i \(0.762742\pi\)
\(242\) 10.6858 + 9.10627i 0.686911 + 0.585373i
\(243\) 12.0272 + 9.91699i 0.771545 + 0.636175i
\(244\) 4.02016 + 1.53307i 0.257365 + 0.0981446i
\(245\) −2.33265 + 2.91263i −0.149027 + 0.186081i
\(246\) 4.30444 4.72414i 0.274441 0.301200i
\(247\) −4.58631 7.94372i −0.291820 0.505447i
\(248\) 5.54869 3.03642i 0.352342 0.192813i
\(249\) −3.15265 5.90474i −0.199791 0.374198i
\(250\) −2.45262 6.90186i −0.155117 0.436512i
\(251\) 8.22152i 0.518938i 0.965751 + 0.259469i \(0.0835475\pi\)
−0.965751 + 0.259469i \(0.916452\pi\)
\(252\) 15.2612 4.36972i 0.961368 0.275267i
\(253\) 0.546129i 0.0343349i
\(254\) −10.9139 + 3.87831i −0.684797 + 0.243347i
\(255\) −1.87987 3.52091i −0.117722 0.220488i
\(256\) −14.6734 6.37906i −0.917085 0.398691i
\(257\) 6.71468 + 11.6302i 0.418850 + 0.725470i 0.995824 0.0912928i \(-0.0290999\pi\)
−0.576974 + 0.816763i \(0.695767\pi\)
\(258\) 3.38977 + 3.08862i 0.211038 + 0.192289i
\(259\) 13.9776 + 16.2763i 0.868525 + 1.01136i
\(260\) −1.89157 + 4.96026i −0.117310 + 0.307622i
\(261\) 12.9272 19.3083i 0.800174 1.19515i
\(262\) −19.6547 + 23.0639i −1.21427 + 1.42489i
\(263\) −13.0415 7.52949i −0.804170 0.464288i 0.0407569 0.999169i \(-0.487023\pi\)
−0.844927 + 0.534881i \(0.820356\pi\)
\(264\) 18.7502 + 12.2756i 1.15399 + 0.755514i
\(265\) 2.44458i 0.150170i
\(266\) 3.42367 5.98238i 0.209919 0.366803i
\(267\) −24.2141 15.0728i −1.48188 0.922439i
\(268\) 23.8989 3.83906i 1.45986 0.234508i
\(269\) 11.5014 + 6.64035i 0.701254 + 0.404869i 0.807814 0.589437i \(-0.200650\pi\)
−0.106560 + 0.994306i \(0.533984\pi\)
\(270\) −2.71425 2.82461i −0.165184 0.171900i
\(271\) 16.2954 9.40818i 0.989878 0.571506i 0.0846401 0.996412i \(-0.473026\pi\)
0.905238 + 0.424905i \(0.139693\pi\)
\(272\) 12.9005 + 11.5134i 0.782208 + 0.698103i
\(273\) 14.2832 + 17.7943i 0.864460 + 1.07696i
\(274\) −6.28792 1.15825i −0.379867 0.0699726i
\(275\) −10.7866 18.6830i −0.650459 1.12663i
\(276\) 0.0520067 + 0.410266i 0.00313043 + 0.0246951i
\(277\) −20.1344 11.6246i −1.20976 0.698454i −0.247052 0.969002i \(-0.579462\pi\)
−0.962706 + 0.270548i \(0.912795\pi\)
\(278\) 19.7621 7.02256i 1.18525 0.421185i
\(279\) −6.01973 + 2.96170i −0.360392 + 0.177312i
\(280\) −3.93630 + 0.647679i −0.235239 + 0.0387062i
\(281\) 21.2736i 1.26908i −0.772892 0.634538i \(-0.781190\pi\)
0.772892 0.634538i \(-0.218810\pi\)
\(282\) −13.9498 3.05136i −0.830698 0.181706i
\(283\) 4.31186 7.46836i 0.256314 0.443948i −0.708938 0.705271i \(-0.750825\pi\)
0.965251 + 0.261323i \(0.0841587\pi\)
\(284\) −7.83265 9.62917i −0.464782 0.571386i
\(285\) −1.69999 0.0564373i −0.100699 0.00334306i
\(286\) −5.83563 + 31.6804i −0.345068 + 1.87330i
\(287\) 1.27634 + 6.78411i 0.0753399 + 0.400454i
\(288\) 15.2546 + 7.43624i 0.898885 + 0.438185i
\(289\) −0.843181 1.46043i −0.0495989 0.0859078i
\(290\) −3.78739 + 4.44434i −0.222403 + 0.260980i
\(291\) 5.86404 + 10.9830i 0.343756 + 0.643837i
\(292\) 19.0513 3.06035i 1.11489 0.179094i
\(293\) 22.7441i 1.32872i −0.747411 0.664362i \(-0.768703\pi\)
0.747411 0.664362i \(-0.231297\pi\)
\(294\) −6.15276 + 16.0045i −0.358836 + 0.933401i
\(295\) −3.51782 −0.204815
\(296\) −0.524809 + 22.9297i −0.0305039 + 1.33276i
\(297\) −19.3027 13.8726i −1.12006 0.804970i
\(298\) −23.1883 19.7606i −1.34326 1.14470i
\(299\) −0.514790 + 0.297214i −0.0297711 + 0.0171883i
\(300\) −9.88234 13.0080i −0.570557 0.751015i
\(301\) −4.86790 + 0.915828i −0.280581 + 0.0527875i
\(302\) −0.721270 + 3.91563i −0.0415044 + 0.225319i
\(303\) 6.66470 + 0.221259i 0.382877 + 0.0127110i
\(304\) 6.99797 2.30783i 0.401361 0.132363i
\(305\) 0.993166 + 0.573405i 0.0568685 + 0.0328331i
\(306\) −13.1392 12.7951i −0.751118 0.731450i
\(307\) 22.8169 1.30223 0.651114 0.758980i \(-0.274302\pi\)
0.651114 + 0.758980i \(0.274302\pi\)
\(308\) −22.7785 + 8.19213i −1.29792 + 0.466790i
\(309\) 4.87261 7.82773i 0.277193 0.445304i
\(310\) 1.58860 0.564518i 0.0902264 0.0320625i
\(311\) −11.9871 + 20.7622i −0.679725 + 1.17732i 0.295339 + 0.955393i \(0.404567\pi\)
−0.975064 + 0.221925i \(0.928766\pi\)
\(312\) −1.36701 + 24.3549i −0.0773919 + 1.37882i
\(313\) 19.4419 11.2248i 1.09892 0.634463i 0.162984 0.986629i \(-0.447888\pi\)
0.935938 + 0.352166i \(0.114555\pi\)
\(314\) −1.81602 + 9.85883i −0.102484 + 0.556366i
\(315\) 4.20099 0.504805i 0.236699 0.0284425i
\(316\) −0.0855102 0.0326089i −0.00481032 0.00183439i
\(317\) 1.06072 + 1.83723i 0.0595762 + 0.103189i 0.894275 0.447517i \(-0.147692\pi\)
−0.834699 + 0.550706i \(0.814358\pi\)
\(318\) −3.40794 10.7033i −0.191108 0.600211i
\(319\) −17.7163 + 30.6856i −0.991924 + 1.71806i
\(320\) −3.59188 2.29907i −0.200792 0.128522i
\(321\) 13.5467 + 8.43255i 0.756103 + 0.470659i
\(322\) −0.387686 0.221870i −0.0216049 0.0123643i
\(323\) −7.96330 −0.443090
\(324\) −15.8217 8.58330i −0.878985 0.476850i
\(325\) 11.7406 20.3353i 0.651252 1.12800i
\(326\) 5.97649 7.01316i 0.331007 0.388423i
\(327\) −8.47921 0.281498i −0.468902 0.0155669i
\(328\) −3.83515 + 6.30496i −0.211761 + 0.348133i
\(329\) 11.7012 10.0486i 0.645108 0.553997i
\(330\) 4.41549 + 4.02321i 0.243065 + 0.221470i
\(331\) −1.25478 + 0.724448i −0.0689689 + 0.0398192i −0.534088 0.845429i \(-0.679345\pi\)
0.465119 + 0.885248i \(0.346012\pi\)
\(332\) 4.87732 + 5.99599i 0.267677 + 0.329073i
\(333\) 1.61347 24.2735i 0.0884176 1.33018i
\(334\) −22.9830 + 8.16713i −1.25757 + 0.446886i
\(335\) 6.45170 0.352494
\(336\) −16.3317 + 8.32328i −0.890965 + 0.454072i
\(337\) −21.6680 −1.18033 −0.590165 0.807282i \(-0.700937\pi\)
−0.590165 + 0.807282i \(0.700937\pi\)
\(338\) −15.7149 + 5.58436i −0.854775 + 0.303749i
\(339\) 3.16208 + 5.92240i 0.171740 + 0.321661i
\(340\) 2.90827 + 3.57532i 0.157723 + 0.193899i
\(341\) 8.85966 5.11513i 0.479778 0.277000i
\(342\) −7.52187 + 2.12281i −0.406736 + 0.114789i
\(343\) −9.80454 15.7121i −0.529396 0.848375i
\(344\) −4.52408 2.75189i −0.243922 0.148372i
\(345\) −0.00365740 + 0.110167i −0.000196908 + 0.00593121i
\(346\) 15.3991 18.0702i 0.827863 0.971462i
\(347\) −13.7374 + 23.7939i −0.737463 + 1.27732i 0.216171 + 0.976356i \(0.430643\pi\)
−0.953634 + 0.300969i \(0.902690\pi\)
\(348\) −10.3868 + 24.7389i −0.556793 + 1.32614i
\(349\) 15.6203 0.836134 0.418067 0.908416i \(-0.362708\pi\)
0.418067 + 0.908416i \(0.362708\pi\)
\(350\) 17.6449 0.0670834i 0.943158 0.00358576i
\(351\) 2.57163 25.7448i 0.137264 1.37415i
\(352\) −23.9624 9.77166i −1.27720 0.520831i
\(353\) 6.72613 11.6500i 0.357996 0.620067i −0.629630 0.776895i \(-0.716793\pi\)
0.987626 + 0.156828i \(0.0501268\pi\)
\(354\) −15.4023 + 4.90411i −0.818625 + 0.260651i
\(355\) −1.65423 2.86521i −0.0877973 0.152069i
\(356\) 30.7728 + 11.7351i 1.63096 + 0.621957i
\(357\) 19.5787 3.01465i 1.03621 0.159552i
\(358\) −1.02980 + 5.59056i −0.0544265 + 0.295470i
\(359\) 19.9816 11.5364i 1.05459 0.608867i 0.130658 0.991428i \(-0.458291\pi\)
0.923930 + 0.382561i \(0.124958\pi\)
\(360\) 3.70015 + 2.60186i 0.195015 + 0.137130i
\(361\) 7.80320 13.5155i 0.410695 0.711344i
\(362\) 19.8016 7.03660i 1.04075 0.369836i
\(363\) 14.5978 + 9.08684i 0.766186 + 0.476936i
\(364\) −20.1185 17.0130i −1.05450 0.891726i
\(365\) 5.14305 0.269200
\(366\) 5.14782 + 1.12603i 0.269081 + 0.0588585i
\(367\) 18.6893 + 10.7903i 0.975574 + 0.563248i 0.900931 0.433963i \(-0.142885\pi\)
0.0746427 + 0.997210i \(0.476218\pi\)
\(368\) −0.149558 0.453501i −0.00779625 0.0236404i
\(369\) 4.35469 6.50424i 0.226696 0.338597i
\(370\) −1.10746 + 6.01218i −0.0575741 + 0.312558i
\(371\) 11.4477 + 4.01907i 0.594337 + 0.208659i
\(372\) 6.16850 4.68630i 0.319822 0.242973i
\(373\) 0.158888 0.0917338i 0.00822689 0.00474980i −0.495881 0.868391i \(-0.665155\pi\)
0.504108 + 0.863641i \(0.331821\pi\)
\(374\) 21.2857 + 18.1393i 1.10066 + 0.937963i
\(375\) −4.22519 7.91356i −0.218188 0.408654i
\(376\) 16.4844 + 0.377289i 0.850116 + 0.0194572i
\(377\) −38.5663 −1.98627
\(378\) 17.6898 8.06673i 0.909864 0.414908i
\(379\) 2.93359i 0.150688i 0.997158 + 0.0753441i \(0.0240055\pi\)
−0.997158 + 0.0753441i \(0.975994\pi\)
\(380\) 1.93920 0.311509i 0.0994789 0.0159801i
\(381\) −12.5137 + 6.68127i −0.641094 + 0.342292i
\(382\) 18.1283 21.2728i 0.927524 1.08841i
\(383\) −7.67488 13.2933i −0.392168 0.679255i 0.600567 0.799574i \(-0.294942\pi\)
−0.992735 + 0.120319i \(0.961608\pi\)
\(384\) −18.9317 5.05883i −0.966103 0.258158i
\(385\) −6.34088 + 1.19295i −0.323161 + 0.0607983i
\(386\) 3.22407 17.5028i 0.164101 0.890870i
\(387\) 4.66708 + 3.12468i 0.237241 + 0.158836i
\(388\) −9.07199 11.1528i −0.460561 0.566197i
\(389\) −2.00060 + 3.46513i −0.101434 + 0.175689i −0.912276 0.409577i \(-0.865676\pi\)
0.810842 + 0.585266i \(0.199010\pi\)
\(390\) −1.38935 + 6.35162i −0.0703523 + 0.321627i
\(391\) 0.516059i 0.0260982i
\(392\) 3.43853 19.4981i 0.173672 0.984804i
\(393\) −19.6127 + 31.5074i −0.989332 + 1.58934i
\(394\) 11.2177 3.98627i 0.565139 0.200825i
\(395\) −0.0211250 0.0121965i −0.00106291 0.000613673i
\(396\) 24.9413 + 11.4596i 1.25335 + 0.575865i
\(397\) −11.7195 20.2987i −0.588183 1.01876i −0.994470 0.105017i \(-0.966510\pi\)
0.406288 0.913745i \(-0.366823\pi\)
\(398\) −19.9109 3.66765i −0.998044 0.183842i
\(399\) 3.05919 7.86810i 0.153151 0.393898i
\(400\) 14.0735 + 12.5603i 0.703675 + 0.628014i
\(401\) 14.5441 8.39703i 0.726297 0.419328i −0.0907689 0.995872i \(-0.528932\pi\)
0.817066 + 0.576544i \(0.195599\pi\)
\(402\) 28.2479 8.99416i 1.40888 0.448588i
\(403\) 9.64320 + 5.56751i 0.480362 + 0.277337i
\(404\) −7.60251 + 1.22125i −0.378239 + 0.0607595i
\(405\) −3.80091 2.92770i −0.188869 0.145479i
\(406\) −14.5857 25.0428i −0.723874 1.24285i
\(407\) 37.0960i 1.83878i
\(408\) 17.7178 + 11.5997i 0.877160 + 0.574272i
\(409\) 11.9749 + 6.91372i 0.592121 + 0.341861i 0.765936 0.642917i \(-0.222276\pi\)
−0.173815 + 0.984778i \(0.555609\pi\)
\(410\) −1.27583 + 1.49713i −0.0630086 + 0.0739380i
\(411\) −7.82635 0.259824i −0.386045 0.0128162i
\(412\) −3.79362 + 9.94800i −0.186898 + 0.490103i
\(413\) 5.78354 16.4736i 0.284590 0.810613i
\(414\) 0.137568 + 0.487452i 0.00676111 + 0.0239570i
\(415\) 1.03007 + 1.78414i 0.0505643 + 0.0875799i
\(416\) −3.82987 27.9052i −0.187775 1.36817i
\(417\) 22.6588 12.0980i 1.10961 0.592440i
\(418\) 11.2300 3.99066i 0.549280 0.195190i
\(419\) 17.5573i 0.857728i −0.903369 0.428864i \(-0.858914\pi\)
0.903369 0.428864i \(-0.141086\pi\)
\(420\) −4.64983 + 1.50000i −0.226888 + 0.0731926i
\(421\) 19.8896i 0.969362i −0.874691 0.484681i \(-0.838936\pi\)
0.874691 0.484681i \(-0.161064\pi\)
\(422\) −4.55694 12.8236i −0.221828 0.624243i
\(423\) −17.4504 1.15994i −0.848467 0.0563980i
\(424\) 6.22650 + 11.3782i 0.302386 + 0.552574i
\(425\) −10.1927 17.6543i −0.494419 0.856359i
\(426\) −11.2371 10.2388i −0.544442 0.496073i
\(427\) −4.31803 + 3.70818i −0.208964 + 0.179451i
\(428\) −17.2160 6.56525i −0.832168 0.317343i
\(429\) −1.30907 + 39.4315i −0.0632026 + 1.90377i
\(430\) −1.07426 0.915461i −0.0518052 0.0441475i
\(431\) 25.3821 + 14.6544i 1.22261 + 0.705876i 0.965474 0.260498i \(-0.0838868\pi\)
0.257139 + 0.966374i \(0.417220\pi\)
\(432\) 19.8278 + 6.23362i 0.953966 + 0.299915i
\(433\) 12.5427i 0.602763i 0.953504 + 0.301381i \(0.0974477\pi\)
−0.953504 + 0.301381i \(0.902552\pi\)
\(434\) 0.0318116 + 8.36736i 0.00152700 + 0.401646i
\(435\) −3.77930 + 6.07137i −0.181204 + 0.291100i
\(436\) 9.67234 1.55374i 0.463221 0.0744109i
\(437\) 0.190457 + 0.109961i 0.00911081 + 0.00526013i
\(438\) 22.5182 7.16981i 1.07596 0.342587i
\(439\) 11.7921 6.80818i 0.562807 0.324937i −0.191464 0.981500i \(-0.561324\pi\)
0.754271 + 0.656563i \(0.227990\pi\)
\(440\) −5.89302 3.58458i −0.280939 0.170888i
\(441\) −4.54277 + 20.5028i −0.216323 + 0.976322i
\(442\) −5.51431 + 29.9361i −0.262289 + 1.42391i
\(443\) 6.72205 + 11.6429i 0.319374 + 0.553172i 0.980358 0.197228i \(-0.0631940\pi\)
−0.660984 + 0.750400i \(0.729861\pi\)
\(444\) 3.53256 + 27.8674i 0.167648 + 1.32253i
\(445\) 7.60232 + 4.38920i 0.360384 + 0.208068i
\(446\) 9.55790 + 26.8967i 0.452580 + 1.27360i
\(447\) −31.6773 19.7185i −1.49828 0.932653i
\(448\) 16.6716 13.0406i 0.787660 0.616110i
\(449\) 16.3428i 0.771266i −0.922652 0.385633i \(-0.873983\pi\)
0.922652 0.385633i \(-0.126017\pi\)
\(450\) −14.3339 13.9586i −0.675706 0.658013i
\(451\) −5.96796 + 10.3368i −0.281020 + 0.486742i
\(452\) −4.89190 6.01393i −0.230096 0.282871i
\(453\) −0.161798 + 4.87364i −0.00760194 + 0.228984i
\(454\) 1.66063 + 0.305893i 0.0779374 + 0.0143563i
\(455\) −4.57532 5.32779i −0.214494 0.249770i
\(456\) 8.05627 4.06730i 0.377270 0.190469i
\(457\) 14.6395 + 25.3564i 0.684808 + 1.18612i 0.973497 + 0.228699i \(0.0734472\pi\)
−0.288689 + 0.957423i \(0.593219\pi\)
\(458\) −24.5461 20.9178i −1.14696 0.977423i
\(459\) −18.2399 13.1088i −0.851364 0.611864i
\(460\) −0.0201872 0.125669i −0.000941235 0.00585936i
\(461\) 6.06975i 0.282696i 0.989960 + 0.141348i \(0.0451437\pi\)
−0.989960 + 0.141348i \(0.954856\pi\)
\(462\) −26.0997 + 14.0628i −1.21427 + 0.654263i
\(463\) −3.30400 −0.153550 −0.0767750 0.997048i \(-0.524462\pi\)
−0.0767750 + 0.997048i \(0.524462\pi\)
\(464\) 6.30820 30.3327i 0.292851 1.40816i
\(465\) 1.82146 0.972510i 0.0844682 0.0450991i
\(466\) 14.9429 17.5349i 0.692219 0.812290i
\(467\) −7.03895 + 4.06394i −0.325724 + 0.188057i −0.653941 0.756546i \(-0.726886\pi\)
0.328217 + 0.944602i \(0.393552\pi\)
\(468\) 2.77156 + 29.7466i 0.128116 + 1.37504i
\(469\) −10.6070 + 30.2127i −0.489788 + 1.39509i
\(470\) 4.32220 + 0.796161i 0.199368 + 0.0367242i
\(471\) −0.407378 + 12.2709i −0.0187710 + 0.565415i
\(472\) 16.3735 8.96011i 0.753653 0.412422i
\(473\) −7.41711 4.28227i −0.341039 0.196899i
\(474\) −0.109496 0.0239510i −0.00502931 0.00110011i
\(475\) −8.68736 −0.398604
\(476\) −21.5243 + 7.74106i −0.986563 + 0.354811i
\(477\) −6.07328 12.3441i −0.278076 0.565198i
\(478\) −9.58523 26.9736i −0.438418 1.23375i
\(479\) −0.425876 + 0.737638i −0.0194588 + 0.0337035i −0.875591 0.483054i \(-0.839528\pi\)
0.856132 + 0.516757i \(0.172861\pi\)
\(480\) −4.76834 2.13165i −0.217644 0.0972961i
\(481\) −34.9673 + 20.1884i −1.59437 + 0.920510i
\(482\) 12.8368 + 2.36457i 0.584698 + 0.107703i
\(483\) −0.509889 0.198250i −0.0232008 0.00902069i
\(484\) −18.5519 7.07466i −0.843266 0.321575i
\(485\) −1.91597 3.31856i −0.0869999 0.150688i
\(486\) −20.7232 7.51982i −0.940025 0.341106i
\(487\) −2.45804 + 4.25745i −0.111384 + 0.192923i −0.916329 0.400427i \(-0.868862\pi\)
0.804944 + 0.593350i \(0.202195\pi\)
\(488\) −6.08314 0.139229i −0.275371 0.00630260i
\(489\) 5.96374 9.58062i 0.269690 0.433250i
\(490\) 1.72919 4.98591i 0.0781166 0.225240i
\(491\) −5.07434 −0.229002 −0.114501 0.993423i \(-0.536527\pi\)
−0.114501 + 0.993423i \(0.536527\pi\)
\(492\) −3.49893 + 8.33359i −0.157744 + 0.375707i
\(493\) −16.7408 + 28.9960i −0.753970 + 1.30591i
\(494\) 9.87327 + 8.41383i 0.444220 + 0.378556i
\(495\) 6.07929 + 4.07017i 0.273244 + 0.182941i
\(496\) −5.95620 + 6.67378i −0.267441 + 0.299662i
\(497\) 16.1372 3.03599i 0.723850 0.136183i
\(498\) 6.99726 + 6.37562i 0.313555 + 0.285698i
\(499\) −17.6743 + 10.2042i −0.791209 + 0.456805i −0.840388 0.541985i \(-0.817673\pi\)
0.0491790 + 0.998790i \(0.484340\pi\)
\(500\) 6.53660 + 8.03586i 0.292326 + 0.359374i
\(501\) −26.3519 + 14.0697i −1.17732 + 0.628590i
\(502\) −3.89321 10.9558i −0.173762 0.488982i
\(503\) 26.6102 1.18649 0.593245 0.805022i \(-0.297847\pi\)
0.593245 + 0.805022i \(0.297847\pi\)
\(504\) −18.2675 + 13.0498i −0.813701 + 0.581283i
\(505\) −2.05236 −0.0913289
\(506\) −0.258613 0.727759i −0.0114968 0.0323528i
\(507\) −18.0184 + 9.62033i −0.800224 + 0.427254i
\(508\) 12.7070 10.3363i 0.563784 0.458598i
\(509\) −24.9978 + 14.4325i −1.10801 + 0.639710i −0.938313 0.345787i \(-0.887612\pi\)
−0.169697 + 0.985496i \(0.554279\pi\)
\(510\) 4.17236 + 3.80168i 0.184755 + 0.168341i
\(511\) −8.45553 + 24.0844i −0.374051 + 1.06543i
\(512\) 22.5741 + 1.55218i 0.997644 + 0.0685972i
\(513\) −8.72444 + 3.93844i −0.385194 + 0.173887i
\(514\) −14.4552 12.3184i −0.637590 0.543343i
\(515\) −1.41891 + 2.45762i −0.0625245 + 0.108296i
\(516\) −5.97971 2.51064i −0.263242 0.110525i
\(517\) 26.6686 1.17288
\(518\) −26.3337 15.0706i −1.15704 0.662162i
\(519\) 15.3663 24.6856i 0.674505 1.08358i
\(520\) 0.171787 7.50566i 0.00753337 0.329145i
\(521\) −12.5564 + 21.7483i −0.550105 + 0.952811i 0.448161 + 0.893953i \(0.352079\pi\)
−0.998266 + 0.0588577i \(0.981254\pi\)
\(522\) −8.08325 + 31.8513i −0.353794 + 1.39410i
\(523\) −1.54754 2.68042i −0.0676692 0.117206i 0.830206 0.557457i \(-0.188223\pi\)
−0.897875 + 0.440251i \(0.854890\pi\)
\(524\) 15.2697 40.0417i 0.667060 1.74923i
\(525\) 21.3589 3.28876i 0.932179 0.143533i
\(526\) 20.9442 + 3.85799i 0.913212 + 0.168216i
\(527\) 8.37183 4.83348i 0.364683 0.210550i
\(528\) −30.7990 7.47932i −1.34036 0.325495i
\(529\) −11.4929 + 19.9062i −0.499690 + 0.865489i
\(530\) 1.15760 + 3.25759i 0.0502831 + 0.141501i
\(531\) −17.7635 + 8.73962i −0.770871 + 0.379267i
\(532\) −1.72942 + 9.59323i −0.0749797 + 0.415919i
\(533\) −12.9915 −0.562726
\(534\) 39.4046 + 8.61933i 1.70521 + 0.372995i
\(535\) −4.25316 2.45556i −0.183880 0.106163i
\(536\) −30.0291 + 16.4329i −1.29706 + 0.709792i
\(537\) −0.231008 + 6.95837i −0.00996875 + 0.300276i
\(538\) −18.4710 3.40241i −0.796341 0.146688i
\(539\) 4.83838 31.6550i 0.208404 1.36348i
\(540\) 4.95451 + 2.47870i 0.213208 + 0.106666i
\(541\) −23.8925 + 13.7944i −1.02722 + 0.593066i −0.916187 0.400751i \(-0.868749\pi\)
−0.111033 + 0.993817i \(0.535416\pi\)
\(542\) −17.2598 + 20.2536i −0.741372 + 0.869969i
\(543\) 22.7041 12.1221i 0.974328 0.520211i
\(544\) −22.6430 9.23362i −0.970809 0.395888i
\(545\) 2.61113 0.111849
\(546\) −27.4598 16.9487i −1.17517 0.725336i
\(547\) 32.0757i 1.37146i −0.727856 0.685730i \(-0.759483\pi\)
0.727856 0.685730i \(-0.240517\pi\)
\(548\) 8.92762 1.43411i 0.381369 0.0612623i
\(549\) 6.43963 + 0.428045i 0.274837 + 0.0182685i
\(550\) 23.2212 + 19.7887i 0.990154 + 0.843791i
\(551\) 7.13420 + 12.3568i 0.303927 + 0.526417i
\(552\) −0.263580 0.522084i −0.0112187 0.0222214i
\(553\) 0.0918460 0.0788743i 0.00390569 0.00335407i
\(554\) 32.3353 + 5.95626i 1.37380 + 0.253057i
\(555\) −0.248430 + 7.48314i −0.0105453 + 0.317642i
\(556\) −23.0090 + 18.7162i −0.975800 + 0.793744i
\(557\) −8.23577 + 14.2648i −0.348961 + 0.604417i −0.986065 0.166360i \(-0.946799\pi\)
0.637104 + 0.770777i \(0.280132\pi\)
\(558\) 6.61928 6.79727i 0.280216 0.287751i
\(559\) 9.32199i 0.394278i
\(560\) 4.93872 2.72707i 0.208699 0.115240i
\(561\) 29.0782 + 18.1006i 1.22768 + 0.764209i
\(562\) 10.0739 + 28.3487i 0.424940 + 1.19582i
\(563\) 14.5542 + 8.40290i 0.613388 + 0.354140i 0.774290 0.632830i \(-0.218107\pi\)
−0.160902 + 0.986970i \(0.551440\pi\)
\(564\) 20.0341 2.53959i 0.843588 0.106936i
\(565\) −1.03315 1.78947i −0.0434651 0.0752837i
\(566\) −2.20933 + 11.9940i −0.0928650 + 0.504145i
\(567\) 19.9591 12.9859i 0.838203 0.545358i
\(568\) 14.9974 + 9.12255i 0.629277 + 0.382774i
\(569\) 32.1947 18.5876i 1.34967 0.779235i 0.361471 0.932383i \(-0.382275\pi\)
0.988203 + 0.153149i \(0.0489414\pi\)
\(570\) 2.29209 0.729804i 0.0960052 0.0305681i
\(571\) 6.80801 + 3.93061i 0.284906 + 0.164491i 0.635642 0.771984i \(-0.280735\pi\)
−0.350736 + 0.936474i \(0.614069\pi\)
\(572\) −7.22549 44.9800i −0.302113 1.88071i
\(573\) 18.0896 29.0605i 0.755704 1.21402i
\(574\) −4.91336 8.43596i −0.205080 0.352110i
\(575\) 0.562982i 0.0234780i
\(576\) −23.8493 2.68573i −0.993719 0.111905i
\(577\) 14.7236 + 8.50067i 0.612951 + 0.353888i 0.774120 0.633039i \(-0.218193\pi\)
−0.161168 + 0.986927i \(0.551526\pi\)
\(578\) 1.81518 + 1.54686i 0.0755013 + 0.0643409i
\(579\) 0.723236 21.7851i 0.0300567 0.905359i
\(580\) 2.94242 7.71589i 0.122177 0.320385i
\(581\) −10.0484 + 1.89048i −0.416880 + 0.0784303i
\(582\) −13.0152 11.8589i −0.539497 0.491567i
\(583\) 10.4891 + 18.1677i 0.434415 + 0.752429i
\(584\) −23.9381 + 13.0997i −0.990565 + 0.542068i
\(585\) −0.528142 + 7.94551i −0.0218360 + 0.328506i
\(586\) 10.7702 + 30.3082i 0.444913 + 1.25202i
\(587\) 24.3750i 1.00606i −0.864268 0.503032i \(-0.832218\pi\)
0.864268 0.503032i \(-0.167782\pi\)
\(588\) 0.620281 24.2408i 0.0255799 0.999673i
\(589\) 4.11963i 0.169746i
\(590\) 4.68777 1.66582i 0.192992 0.0685809i
\(591\) 12.8620 6.86725i 0.529072 0.282481i
\(592\) −10.1588 30.8042i −0.417523 1.26604i
\(593\) −0.0286004 0.0495374i −0.00117448 0.00203426i 0.865438 0.501017i \(-0.167041\pi\)
−0.866612 + 0.498983i \(0.833707\pi\)
\(594\) 32.2915 + 9.34574i 1.32494 + 0.383460i
\(595\) −5.99174 + 1.12726i −0.245637 + 0.0462133i
\(596\) 40.2576 + 15.3520i 1.64902 + 0.628844i
\(597\) −24.7824 0.822741i −1.01428 0.0336726i
\(598\) 0.545255 0.639834i 0.0222971 0.0261648i
\(599\) −35.8620 20.7049i −1.46528 0.845980i −0.466033 0.884768i \(-0.654317\pi\)
−0.999247 + 0.0387877i \(0.987650\pi\)
\(600\) 19.3288 + 12.6544i 0.789093 + 0.516616i
\(601\) 23.8559i 0.973104i −0.873652 0.486552i \(-0.838254\pi\)
0.873652 0.486552i \(-0.161746\pi\)
\(602\) 6.05317 3.52555i 0.246709 0.143691i
\(603\) 32.5783 16.0285i 1.32669 0.652731i
\(604\) −0.893054 5.55943i −0.0363379 0.226210i
\(605\) −4.58317 2.64609i −0.186332 0.107579i
\(606\) −8.98600 + 2.86115i −0.365031 + 0.116226i
\(607\) −33.6542 + 19.4303i −1.36598 + 0.788650i −0.990412 0.138144i \(-0.955886\pi\)
−0.375570 + 0.926794i \(0.622553\pi\)
\(608\) −8.23248 + 6.38917i −0.333871 + 0.259115i
\(609\) −22.2182 27.6799i −0.900325 1.12164i
\(610\) −1.59500 0.293803i −0.0645796 0.0118958i
\(611\) 14.5136 + 25.1382i 0.587156 + 1.01698i
\(612\) 23.5680 + 10.8286i 0.952680 + 0.437720i
\(613\) 16.8751 + 9.74286i 0.681580 + 0.393510i 0.800450 0.599400i \(-0.204594\pi\)
−0.118870 + 0.992910i \(0.537927\pi\)
\(614\) −30.4052 + 10.8047i −1.22706 + 0.436041i
\(615\) −1.27311 + 2.04521i −0.0513366 + 0.0824710i
\(616\) 26.4748 21.7031i 1.06670 0.874444i
\(617\) 21.5819i 0.868854i −0.900707 0.434427i \(-0.856951\pi\)
0.900707 0.434427i \(-0.143049\pi\)
\(618\) −2.78639 + 12.7384i −0.112085 + 0.512415i
\(619\) 5.60757 9.71259i 0.225387 0.390382i −0.731048 0.682326i \(-0.760969\pi\)
0.956436 + 0.291944i \(0.0943020\pi\)
\(620\) −1.84961 + 1.50453i −0.0742821 + 0.0604232i
\(621\) 0.255230 + 0.565385i 0.0102420 + 0.0226881i
\(622\) 6.14199 33.3436i 0.246271 1.33696i
\(623\) −33.0529 + 28.3847i −1.32424 + 1.13721i
\(624\) −9.71132 33.1021i −0.388764 1.32514i
\(625\) −10.4090 18.0290i −0.416362 0.721160i
\(626\) −20.5925 + 24.1644i −0.823040 + 0.965803i
\(627\) 12.8762 6.87482i 0.514225 0.274554i
\(628\) −2.24855 13.9976i −0.0897268 0.558566i
\(629\) 35.0534i 1.39767i
\(630\) −5.35910 + 2.66202i −0.213512 + 0.106058i
\(631\) −22.3220 −0.888626 −0.444313 0.895872i \(-0.646552\pi\)
−0.444313 + 0.895872i \(0.646552\pi\)
\(632\) 0.129390 + 0.00296145i 0.00514688 + 0.000117800i
\(633\) −7.85036 14.7033i −0.312024 0.584404i
\(634\) −2.28350 1.94595i −0.0906892 0.0772837i
\(635\) 3.78105 2.18299i 0.150046 0.0866292i
\(636\) 9.60976 + 12.6492i 0.381052 + 0.501572i
\(637\) 32.4716 12.6665i 1.28657 0.501866i
\(638\) 9.07756 49.2803i 0.359384 1.95102i
\(639\) −15.4714 10.3583i −0.612040 0.409770i
\(640\) 5.87516 + 1.36280i 0.232236 + 0.0538692i
\(641\) 10.9414 + 6.31703i 0.432160 + 0.249508i 0.700266 0.713882i \(-0.253065\pi\)
−0.268107 + 0.963389i \(0.586398\pi\)
\(642\) −22.0451 4.82213i −0.870052 0.190314i
\(643\) 25.9092 1.02176 0.510879 0.859652i \(-0.329320\pi\)
0.510879 + 0.859652i \(0.329320\pi\)
\(644\) 0.621686 + 0.112074i 0.0244978 + 0.00441634i
\(645\) −1.46753 0.913508i −0.0577839 0.0359693i
\(646\) 10.6117 3.77093i 0.417512 0.148365i
\(647\) 8.29783 14.3723i 0.326221 0.565032i −0.655538 0.755163i \(-0.727558\pi\)
0.981759 + 0.190131i \(0.0608912\pi\)
\(648\) 25.1482 + 3.94571i 0.987914 + 0.155002i
\(649\) 26.1438 15.0941i 1.02623 0.592496i
\(650\) −6.01570 + 32.6580i −0.235955 + 1.28095i
\(651\) 1.55956 + 10.1286i 0.0611240 + 0.396971i
\(652\) −4.64313 + 12.1757i −0.181839 + 0.476836i
\(653\) 2.57443 + 4.45904i 0.100745 + 0.174496i 0.911992 0.410208i \(-0.134544\pi\)
−0.811247 + 0.584704i \(0.801211\pi\)
\(654\) 11.4325 3.64012i 0.447046 0.142340i
\(655\) 5.71124 9.89216i 0.223157 0.386519i
\(656\) 2.12500 10.2179i 0.0829671 0.398943i
\(657\) 25.9702 12.7773i 1.01319 0.498490i
\(658\) −10.8343 + 18.9315i −0.422367 + 0.738026i
\(659\) 20.6891 0.805934 0.402967 0.915214i \(-0.367979\pi\)
0.402967 + 0.915214i \(0.367979\pi\)
\(660\) −7.78912 3.27033i −0.303191 0.127297i
\(661\) −12.3911 + 21.4621i −0.481960 + 0.834779i −0.999786 0.0207072i \(-0.993408\pi\)
0.517826 + 0.855486i \(0.326742\pi\)
\(662\) 1.32904 1.55957i 0.0516545 0.0606144i
\(663\) −1.23699 + 37.2603i −0.0480408 + 1.44707i
\(664\) −9.33873 5.68053i −0.362413 0.220447i
\(665\) −0.860676 + 2.45151i −0.0333756 + 0.0950657i
\(666\) 9.34435 + 33.1103i 0.362086 + 1.28300i
\(667\) 0.800778 0.462329i 0.0310063 0.0179015i
\(668\) 26.7591 21.7667i 1.03534 0.842178i
\(669\) 16.4657 + 30.8393i 0.636599 + 1.19232i
\(670\) −8.59738 + 3.05513i −0.332146 + 0.118030i
\(671\) −9.84137 −0.379922
\(672\) 17.8218 18.8251i 0.687491 0.726193i
\(673\) 0.492833 0.0189973 0.00949866 0.999955i \(-0.496976\pi\)
0.00949866 + 0.999955i \(0.496976\pi\)
\(674\) 28.8743 10.2606i 1.11219 0.395225i
\(675\) −19.8983 14.3007i −0.765887 0.550433i
\(676\) 18.2968 14.8832i 0.703725 0.572430i
\(677\) 35.2987 20.3797i 1.35664 0.783256i 0.367471 0.930035i \(-0.380224\pi\)
0.989169 + 0.146779i \(0.0468905\pi\)
\(678\) −7.01819 6.39469i −0.269532 0.245587i
\(679\) 18.6905 3.51636i 0.717276 0.134946i
\(680\) −5.56854 3.38721i −0.213544 0.129894i
\(681\) 2.06693 + 0.0686192i 0.0792049 + 0.00262949i
\(682\) −9.38397 + 11.0117i −0.359331 + 0.421659i
\(683\) 14.8402 25.7039i 0.567843 0.983532i −0.428936 0.903335i \(-0.641112\pi\)
0.996779 0.0801976i \(-0.0255551\pi\)
\(684\) 9.01823 6.39071i 0.344821 0.244355i
\(685\) 2.41009 0.0920846
\(686\) 20.5056 + 16.2948i 0.782908 + 0.622138i
\(687\) −33.5322 20.8731i −1.27933 0.796360i
\(688\) 7.33181 + 1.52478i 0.279523 + 0.0581315i
\(689\) −11.4168 + 19.7744i −0.434944 + 0.753346i
\(690\) −0.0472947 0.148538i −0.00180048 0.00565476i
\(691\) 3.83116 + 6.63576i 0.145744 + 0.252436i 0.929650 0.368443i \(-0.120109\pi\)
−0.783906 + 0.620879i \(0.786776\pi\)
\(692\) −11.9636 + 31.3721i −0.454787 + 1.19259i
\(693\) −29.0550 + 21.7771i −1.10371 + 0.827242i
\(694\) 7.03883 38.2124i 0.267190 1.45052i
\(695\) −6.84645 + 3.95280i −0.259701 + 0.149938i
\(696\) 2.12645 37.8850i 0.0806027 1.43603i
\(697\) −5.63936 + 9.76765i −0.213606 + 0.369976i
\(698\) −20.8152 + 7.39680i −0.787867 + 0.279973i
\(699\) 14.9111 23.9543i 0.563988 0.906034i
\(700\) −23.4814 + 8.44492i −0.887513 + 0.319188i
\(701\) −6.75507 −0.255136 −0.127568 0.991830i \(-0.540717\pi\)
−0.127568 + 0.991830i \(0.540717\pi\)
\(702\) 8.76424 + 35.5247i 0.330785 + 1.34079i
\(703\) 12.9369 + 7.46910i 0.487923 + 0.281702i
\(704\) 36.5590 + 1.67438i 1.37787 + 0.0631055i
\(705\) 5.37969 + 0.178598i 0.202611 + 0.00672640i
\(706\) −3.44636 + 18.7096i −0.129706 + 0.704145i
\(707\) 3.37423 9.61100i 0.126901 0.361459i
\(708\) 18.2025 13.8287i 0.684092 0.519715i
\(709\) 36.0884 20.8357i 1.35533 0.782499i 0.366339 0.930482i \(-0.380611\pi\)
0.988990 + 0.147982i \(0.0472778\pi\)
\(710\) 3.56117 + 3.03477i 0.133648 + 0.113893i
\(711\) −0.136973 0.00910466i −0.00513689 0.000341452i
\(712\) −46.5642 1.06575i −1.74507 0.0399405i
\(713\) −0.266971 −0.00999815
\(714\) −24.6626 + 13.2885i −0.922973 + 0.497311i
\(715\) 12.1427i 0.454112i
\(716\) −1.27506 7.93750i −0.0476514 0.296638i
\(717\) −16.5127 30.9275i −0.616680 1.15501i
\(718\) −21.1641 + 24.8352i −0.789836 + 0.926840i
\(719\) −23.2782 40.3190i −0.868131 1.50365i −0.863904 0.503656i \(-0.831988\pi\)
−0.00422645 0.999991i \(-0.501345\pi\)
\(720\) −6.16281 1.71502i −0.229674 0.0639149i
\(721\) −9.17600 10.6851i −0.341732 0.397934i
\(722\) −3.99823 + 21.7056i −0.148799 + 0.807799i
\(723\) 15.9774 + 0.530429i 0.594208 + 0.0197269i
\(724\) −23.0550 + 18.7536i −0.856833 + 0.696973i
\(725\) −18.2630 + 31.6325i −0.678271 + 1.17480i
\(726\) −23.7557 5.19629i −0.881656 0.192853i
\(727\) 10.7218i 0.397651i 0.980035 + 0.198825i \(0.0637127\pi\)
−0.980035 + 0.198825i \(0.936287\pi\)
\(728\) 34.8658 + 13.1443i 1.29221 + 0.487160i
\(729\) −26.4665 5.34075i −0.980241 0.197805i
\(730\) −6.85351 + 2.43543i −0.253660 + 0.0901394i
\(731\) −7.00871 4.04648i −0.259227 0.149665i
\(732\) −7.39309 + 0.937171i −0.273256 + 0.0346388i
\(733\) −12.5202 21.6857i −0.462445 0.800979i 0.536637 0.843813i \(-0.319695\pi\)
−0.999082 + 0.0428345i \(0.986361\pi\)
\(734\) −30.0145 5.52876i −1.10786 0.204070i
\(735\) 1.18801 6.35316i 0.0438203 0.234340i
\(736\) 0.414048 + 0.533503i 0.0152620 + 0.0196652i
\(737\) −47.9478 + 27.6827i −1.76618 + 1.01971i
\(738\) −2.72294 + 10.7295i −0.100233 + 0.394959i
\(739\) −45.0173 25.9908i −1.65599 0.956086i −0.974538 0.224224i \(-0.928015\pi\)
−0.681452 0.731863i \(-0.738651\pi\)
\(740\) −1.37122 8.53611i −0.0504071 0.313794i
\(741\) 13.4878 + 8.39588i 0.495486 + 0.308430i
\(742\) −17.1582 + 0.0652330i −0.629896 + 0.00239478i
\(743\) 26.4603i 0.970735i 0.874310 + 0.485367i \(0.161314\pi\)
−0.874310 + 0.485367i \(0.838686\pi\)
\(744\) −6.00086 + 9.16588i −0.220002 + 0.336037i
\(745\) 9.94549 + 5.74203i 0.364375 + 0.210372i
\(746\) −0.168290 + 0.197482i −0.00616155 + 0.00723032i
\(747\) 9.63391 + 6.45004i 0.352486 + 0.235995i
\(748\) −36.9546 14.0924i −1.35119 0.515270i
\(749\) 18.4916 15.8800i 0.675670 0.580242i
\(750\) 9.37776 + 8.54463i 0.342428 + 0.312006i
\(751\) −9.69510 16.7924i −0.353779 0.612763i 0.633129 0.774046i \(-0.281770\pi\)
−0.986908 + 0.161283i \(0.948437\pi\)
\(752\) −22.1454 + 7.30322i −0.807558 + 0.266321i
\(753\) −6.70694 12.5617i −0.244414 0.457775i
\(754\) 51.3926 18.2626i 1.87161 0.665086i
\(755\) 1.50081i 0.0546202i
\(756\) −19.7531 + 19.1263i −0.718412 + 0.695618i
\(757\) 5.19772i 0.188914i −0.995529 0.0944572i \(-0.969888\pi\)
0.995529 0.0944572i \(-0.0301115\pi\)
\(758\) −1.38917 3.90923i −0.0504568 0.141990i
\(759\) −0.445520 0.834436i −0.0161714 0.0302881i
\(760\) −2.43662 + 1.33340i −0.0883856 + 0.0483674i
\(761\) 18.8681 + 32.6805i 0.683969 + 1.18467i 0.973760 + 0.227578i \(0.0730808\pi\)
−0.289791 + 0.957090i \(0.593586\pi\)
\(762\) 13.5116 14.8290i 0.489473 0.537198i
\(763\) −4.29288 + 12.2277i −0.155413 + 0.442671i
\(764\) −14.0839 + 36.9321i −0.509536 + 1.33616i
\(765\) 5.74456 + 3.84606i 0.207695 + 0.139055i
\(766\) 16.5223 + 14.0800i 0.596973 + 0.508730i
\(767\) 28.4559 + 16.4290i 1.02748 + 0.593218i
\(768\) 27.6235 2.22359i 0.996776 0.0802370i
\(769\) 13.9517i 0.503110i −0.967843 0.251555i \(-0.919058\pi\)
0.967843 0.251555i \(-0.0809419\pi\)
\(770\) 7.88480 4.59235i 0.284148 0.165497i
\(771\) −19.7471 12.2921i −0.711173 0.442691i
\(772\) 3.99194 + 24.8506i 0.143673 + 0.894391i