Properties

Label 400.2.bm.a.147.42
Level $400$
Weight $2$
Character 400.147
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 147.42
Character \(\chi\) \(=\) 400.147
Dual form 400.2.bm.a.283.42

$q$-expansion

\(f(q)\) \(=\) \(q+(0.902215 - 1.08904i) q^{2} +(0.220941 - 0.304099i) q^{3} +(-0.372015 - 1.96510i) q^{4} +(-0.321354 - 2.21286i) q^{5} +(-0.131840 - 0.514976i) q^{6} +(-0.601608 - 0.601608i) q^{7} +(-2.47571 - 1.36780i) q^{8} +(0.883390 + 2.71879i) q^{9} +O(q^{10})\) \(q+(0.902215 - 1.08904i) q^{2} +(0.220941 - 0.304099i) q^{3} +(-0.372015 - 1.96510i) q^{4} +(-0.321354 - 2.21286i) q^{5} +(-0.131840 - 0.514976i) q^{6} +(-0.601608 - 0.601608i) q^{7} +(-2.47571 - 1.36780i) q^{8} +(0.883390 + 2.71879i) q^{9} +(-2.69982 - 1.64651i) q^{10} +(-0.0459688 + 0.0234223i) q^{11} +(-0.679777 - 0.321041i) q^{12} +(-1.67983 - 5.16997i) q^{13} +(-1.19795 + 0.112395i) q^{14} +(-0.743927 - 0.391187i) q^{15} +(-3.72321 + 1.46209i) q^{16} +(-2.65816 - 0.421012i) q^{17} +(3.75788 + 1.49089i) q^{18} +(7.82999 + 1.24015i) q^{19} +(-4.22893 + 1.45471i) q^{20} +(-0.315868 + 0.0500286i) q^{21} +(-0.0159660 + 0.0711937i) q^{22} +(1.37354 + 2.69573i) q^{23} +(-0.962932 + 0.450656i) q^{24} +(-4.79346 + 1.42222i) q^{25} +(-7.14587 - 2.83503i) q^{26} +(2.09443 + 0.680521i) q^{27} +(-0.958410 + 1.40602i) q^{28} +(4.32397 - 0.684850i) q^{29} +(-1.09720 + 0.457232i) q^{30} +(-3.47148 - 4.77808i) q^{31} +(-1.76686 + 5.37384i) q^{32} +(-0.00303369 + 0.0191540i) q^{33} +(-2.85674 + 2.51500i) q^{34} +(-1.13794 + 1.52460i) q^{35} +(5.01406 - 2.74738i) q^{36} +(0.634122 + 1.95163i) q^{37} +(8.41491 - 7.40829i) q^{38} +(-1.94332 - 0.631424i) q^{39} +(-2.23117 + 5.91793i) q^{40} +(3.90752 - 1.26963i) q^{41} +(-0.230498 + 0.389129i) q^{42} +1.21411 q^{43} +(0.0631280 + 0.0816196i) q^{44} +(5.73242 - 2.82851i) q^{45} +(4.17499 + 0.936287i) q^{46} +(8.37702 - 1.32679i) q^{47} +(-0.377989 + 1.45526i) q^{48} -6.27614i q^{49} +(-2.77588 + 6.50342i) q^{50} +(-0.715326 + 0.715326i) q^{51} +(-9.53457 + 5.22432i) q^{52} +(2.31623 - 3.18801i) q^{53} +(2.63074 - 1.66694i) q^{54} +(0.0666023 + 0.0941954i) q^{55} +(0.666523 + 2.31228i) q^{56} +(2.10709 - 2.10709i) q^{57} +(3.15532 - 5.32686i) q^{58} +(5.17768 + 2.63816i) q^{59} +(-0.491968 + 1.60742i) q^{60} +(-7.52299 + 3.83315i) q^{61} +(-8.33554 - 0.530280i) q^{62} +(1.10419 - 2.16710i) q^{63} +(4.25824 + 6.77255i) q^{64} +(-10.9006 + 5.37860i) q^{65} +(0.0181224 + 0.0205848i) q^{66} +(-0.613194 + 0.445512i) q^{67} +(0.161547 + 5.38017i) q^{68} +(1.12324 + 0.177904i) q^{69} +(0.633681 + 2.61478i) q^{70} +(7.50193 + 5.45047i) q^{71} +(1.53176 - 7.93923i) q^{72} +(0.231209 - 0.117807i) q^{73} +(2.69751 + 1.07020i) q^{74} +(-0.626576 + 1.77191i) q^{75} +(-0.475858 - 15.8480i) q^{76} +(0.0417462 + 0.0135641i) q^{77} +(-2.44094 + 1.54668i) q^{78} +(12.8973 + 9.37042i) q^{79} +(4.43186 + 7.76908i) q^{80} +(-6.26854 + 4.55436i) q^{81} +(2.14274 - 5.40092i) q^{82} +(4.38538 + 6.03595i) q^{83} +(0.215818 + 0.602100i) q^{84} +(-0.0774266 + 6.01743i) q^{85} +(1.09539 - 1.32221i) q^{86} +(0.747080 - 1.46623i) q^{87} +(0.145842 + 0.00488956i) q^{88} +(-4.64160 + 14.2854i) q^{89} +(2.09152 - 8.79476i) q^{90} +(-2.09970 + 4.12089i) q^{91} +(4.78639 - 3.70200i) q^{92} -2.22000 q^{93} +(6.11295 - 10.3200i) q^{94} +(0.228071 - 17.7252i) q^{95} +(1.24381 + 1.72460i) q^{96} +(-2.86907 - 18.1146i) q^{97} +(-6.83496 - 5.66243i) q^{98} +(-0.104289 - 0.104289i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{17}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.902215 1.08904i 0.637963 0.770067i
\(3\) 0.220941 0.304099i 0.127560 0.175572i −0.740460 0.672100i \(-0.765392\pi\)
0.868020 + 0.496529i \(0.165392\pi\)
\(4\) −0.372015 1.96510i −0.186007 0.982548i
\(5\) −0.321354 2.21286i −0.143714 0.989619i
\(6\) −0.131840 0.514976i −0.0538233 0.210238i
\(7\) −0.601608 0.601608i −0.227386 0.227386i 0.584214 0.811600i \(-0.301403\pi\)
−0.811600 + 0.584214i \(0.801403\pi\)
\(8\) −2.47571 1.36780i −0.875294 0.483591i
\(9\) 0.883390 + 2.71879i 0.294463 + 0.906265i
\(10\) −2.69982 1.64651i −0.853758 0.520671i
\(11\) −0.0459688 + 0.0234223i −0.0138601 + 0.00706207i −0.460907 0.887449i \(-0.652476\pi\)
0.447047 + 0.894511i \(0.352476\pi\)
\(12\) −0.679777 0.321041i −0.196235 0.0926765i
\(13\) −1.67983 5.16997i −0.465900 1.43389i −0.857848 0.513904i \(-0.828199\pi\)
0.391948 0.919987i \(-0.371801\pi\)
\(14\) −1.19795 + 0.112395i −0.320167 + 0.0300388i
\(15\) −0.743927 0.391187i −0.192081 0.101004i
\(16\) −3.72321 + 1.46209i −0.930803 + 0.365522i
\(17\) −2.65816 0.421012i −0.644700 0.102110i −0.174481 0.984661i \(-0.555825\pi\)
−0.470218 + 0.882550i \(0.655825\pi\)
\(18\) 3.75788 + 1.49089i 0.885741 + 0.351406i
\(19\) 7.82999 + 1.24015i 1.79632 + 0.284510i 0.963241 0.268639i \(-0.0865738\pi\)
0.833083 + 0.553149i \(0.186574\pi\)
\(20\) −4.22893 + 1.45471i −0.945617 + 0.325282i
\(21\) −0.315868 + 0.0500286i −0.0689280 + 0.0109171i
\(22\) −0.0159660 + 0.0711937i −0.00340395 + 0.0151786i
\(23\) 1.37354 + 2.69573i 0.286404 + 0.562099i 0.988722 0.149765i \(-0.0478516\pi\)
−0.702318 + 0.711863i \(0.747852\pi\)
\(24\) −0.962932 + 0.450656i −0.196558 + 0.0919898i
\(25\) −4.79346 + 1.42222i −0.958693 + 0.284444i
\(26\) −7.14587 2.83503i −1.40142 0.555995i
\(27\) 2.09443 + 0.680521i 0.403073 + 0.130966i
\(28\) −0.958410 + 1.40602i −0.181123 + 0.265714i
\(29\) 4.32397 0.684850i 0.802941 0.127173i 0.258542 0.966000i \(-0.416758\pi\)
0.544399 + 0.838827i \(0.316758\pi\)
\(30\) −1.09720 + 0.457232i −0.200321 + 0.0834787i
\(31\) −3.47148 4.77808i −0.623496 0.858169i 0.374105 0.927386i \(-0.377950\pi\)
−0.997602 + 0.0692173i \(0.977950\pi\)
\(32\) −1.76686 + 5.37384i −0.312341 + 0.949970i
\(33\) −0.00303369 + 0.0191540i −0.000528098 + 0.00333428i
\(34\) −2.85674 + 2.51500i −0.489926 + 0.431319i
\(35\) −1.13794 + 1.52460i −0.192347 + 0.257704i
\(36\) 5.01406 2.74738i 0.835676 0.457896i
\(37\) 0.634122 + 1.95163i 0.104249 + 0.320845i 0.989553 0.144166i \(-0.0460501\pi\)
−0.885304 + 0.465012i \(0.846050\pi\)
\(38\) 8.41491 7.40829i 1.36508 1.20178i
\(39\) −1.94332 0.631424i −0.311181 0.101109i
\(40\) −2.23117 + 5.91793i −0.352779 + 0.935707i
\(41\) 3.90752 1.26963i 0.610251 0.198283i 0.0124441 0.999923i \(-0.496039\pi\)
0.597807 + 0.801640i \(0.296039\pi\)
\(42\) −0.230498 + 0.389129i −0.0355666 + 0.0600440i
\(43\) 1.21411 0.185150 0.0925748 0.995706i \(-0.470490\pi\)
0.0925748 + 0.995706i \(0.470490\pi\)
\(44\) 0.0631280 + 0.0816196i 0.00951691 + 0.0123046i
\(45\) 5.73242 2.82851i 0.854538 0.421649i
\(46\) 4.17499 + 0.936287i 0.615569 + 0.138048i
\(47\) 8.37702 1.32679i 1.22191 0.193532i 0.488042 0.872820i \(-0.337711\pi\)
0.733872 + 0.679288i \(0.237711\pi\)
\(48\) −0.377989 + 1.45526i −0.0545581 + 0.210049i
\(49\) 6.27614i 0.896591i
\(50\) −2.77588 + 6.50342i −0.392569 + 0.919723i
\(51\) −0.715326 + 0.715326i −0.100166 + 0.100166i
\(52\) −9.53457 + 5.22432i −1.32221 + 0.724483i
\(53\) 2.31623 3.18801i 0.318158 0.437907i −0.619746 0.784803i \(-0.712764\pi\)
0.937904 + 0.346896i \(0.112764\pi\)
\(54\) 2.63074 1.66694i 0.357998 0.226842i
\(55\) 0.0666023 + 0.0941954i 0.00898065 + 0.0127013i
\(56\) 0.666523 + 2.31228i 0.0890679 + 0.308992i
\(57\) 2.10709 2.10709i 0.279091 0.279091i
\(58\) 3.15532 5.32686i 0.414314 0.699451i
\(59\) 5.17768 + 2.63816i 0.674077 + 0.343459i 0.757296 0.653072i \(-0.226520\pi\)
−0.0832188 + 0.996531i \(0.526520\pi\)
\(60\) −0.491968 + 1.60742i −0.0635128 + 0.207517i
\(61\) −7.52299 + 3.83315i −0.963220 + 0.490785i −0.863565 0.504237i \(-0.831774\pi\)
−0.0996545 + 0.995022i \(0.531774\pi\)
\(62\) −8.33554 0.530280i −1.05862 0.0673457i
\(63\) 1.10419 2.16710i 0.139115 0.273029i
\(64\) 4.25824 + 6.77255i 0.532279 + 0.846569i
\(65\) −10.9006 + 5.37860i −1.35205 + 0.667133i
\(66\) 0.0181224 + 0.0205848i 0.00223071 + 0.00253382i
\(67\) −0.613194 + 0.445512i −0.0749136 + 0.0544279i −0.624612 0.780935i \(-0.714743\pi\)
0.549698 + 0.835363i \(0.314743\pi\)
\(68\) 0.161547 + 5.38017i 0.0195904 + 0.652442i
\(69\) 1.12324 + 0.177904i 0.135222 + 0.0214171i
\(70\) 0.633681 + 2.61478i 0.0757394 + 0.312526i
\(71\) 7.50193 + 5.45047i 0.890316 + 0.646852i 0.935960 0.352105i \(-0.114534\pi\)
−0.0456445 + 0.998958i \(0.514534\pi\)
\(72\) 1.53176 7.93923i 0.180520 0.935648i
\(73\) 0.231209 0.117807i 0.0270610 0.0137883i −0.440408 0.897798i \(-0.645166\pi\)
0.467469 + 0.884010i \(0.345166\pi\)
\(74\) 2.69751 + 1.07020i 0.313579 + 0.124409i
\(75\) −0.626576 + 1.77191i −0.0723508 + 0.204603i
\(76\) −0.475858 15.8480i −0.0545847 1.81790i
\(77\) 0.0417462 + 0.0135641i 0.00475742 + 0.00154578i
\(78\) −2.44094 + 1.54668i −0.276382 + 0.175127i
\(79\) 12.8973 + 9.37042i 1.45106 + 1.05426i 0.985583 + 0.169194i \(0.0541165\pi\)
0.465475 + 0.885061i \(0.345884\pi\)
\(80\) 4.43186 + 7.76908i 0.495497 + 0.868610i
\(81\) −6.26854 + 4.55436i −0.696505 + 0.506040i
\(82\) 2.14274 5.40092i 0.236627 0.596432i
\(83\) 4.38538 + 6.03595i 0.481357 + 0.662532i 0.978765 0.204985i \(-0.0657146\pi\)
−0.497408 + 0.867517i \(0.665715\pi\)
\(84\) 0.215818 + 0.602100i 0.0235477 + 0.0656945i
\(85\) −0.0774266 + 6.01743i −0.00839809 + 0.652682i
\(86\) 1.09539 1.32221i 0.118119 0.142578i
\(87\) 0.747080 1.46623i 0.0800953 0.157196i
\(88\) 0.145842 + 0.00488956i 0.0155468 + 0.000521229i
\(89\) −4.64160 + 14.2854i −0.492009 + 1.51425i 0.329558 + 0.944135i \(0.393100\pi\)
−0.821567 + 0.570112i \(0.806900\pi\)
\(90\) 2.09152 8.79476i 0.220465 0.927049i
\(91\) −2.09970 + 4.12089i −0.220108 + 0.431987i
\(92\) 4.78639 3.70200i 0.499016 0.385960i
\(93\) −2.22000 −0.230203
\(94\) 6.11295 10.3200i 0.630502 1.06442i
\(95\) 0.228071 17.7252i 0.0233996 1.81856i
\(96\) 1.24381 + 1.72460i 0.126946 + 0.176017i
\(97\) −2.86907 18.1146i −0.291310 1.83926i −0.505950 0.862563i \(-0.668858\pi\)
0.214640 0.976693i \(-0.431142\pi\)
\(98\) −6.83496 5.66243i −0.690435 0.571992i
\(99\) −0.104289 0.104289i −0.0104814 0.0104814i
\(100\) 4.57804 + 8.89053i 0.457804 + 0.889053i
\(101\) 1.28222 1.28222i 0.127586 0.127586i −0.640430 0.768016i \(-0.721244\pi\)
0.768016 + 0.640430i \(0.221244\pi\)
\(102\) 0.133640 + 1.42440i 0.0132324 + 0.141036i
\(103\) −7.15843 + 1.13378i −0.705341 + 0.111715i −0.498793 0.866721i \(-0.666223\pi\)
−0.206549 + 0.978436i \(0.566223\pi\)
\(104\) −2.91274 + 15.0970i −0.285618 + 1.48038i
\(105\) 0.212211 + 0.682893i 0.0207097 + 0.0666436i
\(106\) −1.38214 5.39874i −0.134245 0.524372i
\(107\) 7.96425i 0.769933i 0.922930 + 0.384967i \(0.125787\pi\)
−0.922930 + 0.384967i \(0.874213\pi\)
\(108\) 0.558132 4.36892i 0.0537063 0.420399i
\(109\) −1.82735 0.931080i −0.175028 0.0891812i 0.364281 0.931289i \(-0.381315\pi\)
−0.539309 + 0.842108i \(0.681315\pi\)
\(110\) 0.162672 + 0.0124520i 0.0155102 + 0.00118725i
\(111\) 0.733591 + 0.238358i 0.0696294 + 0.0226240i
\(112\) 3.11952 + 1.36031i 0.294767 + 0.128537i
\(113\) −5.05156 2.57390i −0.475210 0.242132i 0.199945 0.979807i \(-0.435924\pi\)
−0.675156 + 0.737675i \(0.735924\pi\)
\(114\) −0.393656 4.19576i −0.0368693 0.392969i
\(115\) 5.52387 3.90574i 0.515103 0.364212i
\(116\) −2.95438 8.24225i −0.274307 0.765273i
\(117\) 12.5721 9.13420i 1.16229 0.844457i
\(118\) 7.54445 3.25851i 0.694523 0.299970i
\(119\) 1.34589 + 1.85246i 0.123377 + 0.169814i
\(120\) 1.30668 + 1.98601i 0.119283 + 0.181297i
\(121\) −6.46407 + 8.89703i −0.587643 + 0.808821i
\(122\) −2.61290 + 11.6512i −0.236561 + 1.05485i
\(123\) 0.477237 1.46878i 0.0430310 0.132436i
\(124\) −8.09795 + 8.59931i −0.727218 + 0.772241i
\(125\) 4.68757 + 10.1502i 0.419269 + 0.907862i
\(126\) −1.36384 3.15770i −0.121500 0.281310i
\(127\) −4.12637 8.09845i −0.366156 0.718621i 0.632268 0.774750i \(-0.282124\pi\)
−0.998424 + 0.0561287i \(0.982124\pi\)
\(128\) 11.2174 + 1.47291i 0.991489 + 0.130188i
\(129\) 0.268246 0.369209i 0.0236177 0.0325070i
\(130\) −3.97716 + 16.7238i −0.348820 + 1.46678i
\(131\) 2.07070 13.0739i 0.180918 1.14227i −0.715352 0.698764i \(-0.753734\pi\)
0.896270 0.443508i \(-0.146266\pi\)
\(132\) 0.0387680 0.00116406i 0.00337432 0.000101318i
\(133\) −3.96450 5.45667i −0.343766 0.473153i
\(134\) −0.0680535 + 1.06974i −0.00587892 + 0.0924115i
\(135\) 0.832842 4.85336i 0.0716796 0.417710i
\(136\) 6.00497 + 4.67814i 0.514922 + 0.401148i
\(137\) 0.237708 + 0.121118i 0.0203087 + 0.0103478i 0.464115 0.885775i \(-0.346372\pi\)
−0.443807 + 0.896123i \(0.646372\pi\)
\(138\) 1.20715 1.06275i 0.102759 0.0904669i
\(139\) 8.77075 + 17.2136i 0.743925 + 1.46004i 0.882812 + 0.469727i \(0.155648\pi\)
−0.138887 + 0.990308i \(0.544352\pi\)
\(140\) 3.41932 + 1.66899i 0.288985 + 0.141056i
\(141\) 1.44735 2.84058i 0.121889 0.239220i
\(142\) 12.7041 3.25240i 1.06611 0.272935i
\(143\) 0.198312 + 0.198312i 0.0165837 + 0.0165837i
\(144\) −7.26416 8.83105i −0.605347 0.735921i
\(145\) −2.90500 9.34825i −0.241247 0.776330i
\(146\) 0.0803040 0.358083i 0.00664601 0.0296352i
\(147\) −1.90857 1.38665i −0.157416 0.114369i
\(148\) 3.59923 1.97214i 0.295855 0.162109i
\(149\) −2.28654 2.28654i −0.187321 0.187321i 0.607216 0.794537i \(-0.292286\pi\)
−0.794537 + 0.607216i \(0.792286\pi\)
\(150\) 1.36438 + 2.28101i 0.111401 + 0.186244i
\(151\) −16.9288 −1.37765 −0.688823 0.724930i \(-0.741872\pi\)
−0.688823 + 0.724930i \(0.741872\pi\)
\(152\) −17.6885 13.7801i −1.43472 1.11772i
\(153\) −1.20355 7.59892i −0.0973013 0.614336i
\(154\) 0.0524359 0.0332254i 0.00422541 0.00267738i
\(155\) −9.45763 + 9.21734i −0.759655 + 0.740355i
\(156\) −0.517865 + 4.05372i −0.0414624 + 0.324557i
\(157\) 19.7322i 1.57480i −0.616443 0.787400i \(-0.711427\pi\)
0.616443 0.787400i \(-0.288573\pi\)
\(158\) 21.8409 5.59151i 1.73757 0.444837i
\(159\) −0.457722 1.40872i −0.0362997 0.111719i
\(160\) 12.4593 + 2.18291i 0.984997 + 0.172574i
\(161\) 0.795438 2.44811i 0.0626893 0.192938i
\(162\) −0.695694 + 10.9357i −0.0546589 + 0.859190i
\(163\) −9.69318 + 3.14951i −0.759229 + 0.246688i −0.662948 0.748666i \(-0.730695\pi\)
−0.0962811 + 0.995354i \(0.530695\pi\)
\(164\) −3.94860 7.20633i −0.308334 0.562719i
\(165\) 0.0433599 0.000557914i 0.00337556 4.34335e-5i
\(166\) 10.5299 + 0.669881i 0.817282 + 0.0519929i
\(167\) −10.8158 1.71305i −0.836949 0.132560i −0.276775 0.960935i \(-0.589266\pi\)
−0.560174 + 0.828375i \(0.689266\pi\)
\(168\) 0.850425 + 0.308189i 0.0656117 + 0.0237773i
\(169\) −13.3896 + 9.72808i −1.02997 + 0.748314i
\(170\) 6.48336 + 5.51334i 0.497251 + 0.422854i
\(171\) 3.54523 + 22.3837i 0.271110 + 1.71172i
\(172\) −0.451665 2.38584i −0.0344392 0.181918i
\(173\) −6.54547 + 20.1449i −0.497643 + 1.53159i 0.315154 + 0.949040i \(0.397944\pi\)
−0.812797 + 0.582547i \(0.802056\pi\)
\(174\) −0.922752 2.13645i −0.0699536 0.161964i
\(175\) 3.73940 + 2.02817i 0.282672 + 0.153315i
\(176\) 0.136906 0.154416i 0.0103197 0.0116396i
\(177\) 1.94622 0.991651i 0.146287 0.0745370i
\(178\) 11.3696 + 17.9434i 0.852189 + 1.34491i
\(179\) −1.33324 8.41775i −0.0996510 0.629172i −0.986075 0.166299i \(-0.946818\pi\)
0.886424 0.462873i \(-0.153182\pi\)
\(180\) −7.69084 10.2125i −0.573241 0.761196i
\(181\) 0.741628 4.68245i 0.0551248 0.348044i −0.944675 0.328009i \(-0.893622\pi\)
0.999799 0.0200348i \(-0.00637771\pi\)
\(182\) 2.59343 + 6.00458i 0.192238 + 0.445089i
\(183\) −0.496477 + 3.13463i −0.0367006 + 0.231719i
\(184\) 0.286737 8.55257i 0.0211385 0.630504i
\(185\) 4.11489 2.03038i 0.302533 0.149277i
\(186\) −2.00292 + 2.41767i −0.146861 + 0.177272i
\(187\) 0.132054 0.0429068i 0.00965671 0.00313766i
\(188\) −5.72364 15.9681i −0.417439 1.16459i
\(189\) −0.850618 1.66943i −0.0618733 0.121433i
\(190\) −19.0976 16.2403i −1.38549 1.17820i
\(191\) −20.8424 + 6.77209i −1.50810 + 0.490011i −0.942368 0.334578i \(-0.891406\pi\)
−0.565732 + 0.824589i \(0.691406\pi\)
\(192\) 3.00034 + 0.201408i 0.216531 + 0.0145354i
\(193\) −3.34265 + 3.34265i −0.240609 + 0.240609i −0.817102 0.576493i \(-0.804421\pi\)
0.576493 + 0.817102i \(0.304421\pi\)
\(194\) −22.3160 13.2187i −1.60220 0.949049i
\(195\) −0.772756 + 4.50321i −0.0553382 + 0.322481i
\(196\) −12.3332 + 2.33481i −0.880944 + 0.166772i
\(197\) 16.9861 + 12.3411i 1.21021 + 0.879267i 0.995250 0.0973570i \(-0.0310389\pi\)
0.214957 + 0.976624i \(0.431039\pi\)
\(198\) −0.207665 + 0.0194836i −0.0147581 + 0.00138464i
\(199\) 9.28701i 0.658339i 0.944271 + 0.329169i \(0.106769\pi\)
−0.944271 + 0.329169i \(0.893231\pi\)
\(200\) 13.8125 + 3.03551i 0.976693 + 0.214643i
\(201\) 0.284904i 0.0200955i
\(202\) −0.239550 2.55323i −0.0168547 0.179645i
\(203\) −3.01334 2.18932i −0.211495 0.153660i
\(204\) 1.67180 + 1.13957i 0.117049 + 0.0797861i
\(205\) −4.06520 8.23877i −0.283926 0.575421i
\(206\) −5.22371 + 8.81874i −0.363953 + 0.614430i
\(207\) −6.11576 + 6.11576i −0.425075 + 0.425075i
\(208\) 13.8133 + 16.7928i 0.957780 + 1.16437i
\(209\) −0.388982 + 0.126388i −0.0269065 + 0.00874244i
\(210\) 0.935158 + 0.385010i 0.0645321 + 0.0265682i
\(211\) −7.83619 15.3794i −0.539465 1.05876i −0.986426 0.164207i \(-0.947494\pi\)
0.446961 0.894554i \(-0.352506\pi\)
\(212\) −7.12642 3.36562i −0.489445 0.231152i
\(213\) 3.31497 1.07710i 0.227138 0.0738016i
\(214\) 8.67339 + 7.18547i 0.592901 + 0.491189i
\(215\) −0.390158 2.68664i −0.0266086 0.183228i
\(216\) −4.25437 4.54953i −0.289473 0.309557i
\(217\) −0.786062 + 4.96300i −0.0533614 + 0.336910i
\(218\) −2.66264 + 1.15002i −0.180337 + 0.0778891i
\(219\) 0.0152586 0.0963388i 0.00103108 0.00650997i
\(220\) 0.160326 0.165922i 0.0108092 0.0111865i
\(221\) 2.28863 + 14.4499i 0.153950 + 0.972002i
\(222\) 0.921439 0.583859i 0.0618429 0.0391861i
\(223\) 0.963258 0.490805i 0.0645046 0.0328667i −0.421441 0.906856i \(-0.638475\pi\)
0.485945 + 0.873989i \(0.338475\pi\)
\(224\) 4.29590 2.16999i 0.287032 0.144988i
\(225\) −8.10122 11.7761i −0.540081 0.785071i
\(226\) −7.36067 + 3.17914i −0.489624 + 0.211473i
\(227\) −7.66257 + 23.5830i −0.508582 + 1.56526i 0.286081 + 0.958205i \(0.407647\pi\)
−0.794663 + 0.607050i \(0.792353\pi\)
\(228\) −4.92451 3.35677i −0.326134 0.222308i
\(229\) −2.64489 16.6992i −0.174779 1.10351i −0.906592 0.422008i \(-0.861326\pi\)
0.731813 0.681505i \(-0.238674\pi\)
\(230\) 0.730217 9.53953i 0.0481491 0.629018i
\(231\) 0.0133483 0.00969809i 0.000878252 0.000638087i
\(232\) −11.6416 4.21885i −0.764310 0.276981i
\(233\) −14.2316 2.25407i −0.932344 0.147669i −0.328258 0.944588i \(-0.606462\pi\)
−0.604086 + 0.796919i \(0.706462\pi\)
\(234\) 1.39528 21.9326i 0.0912123 1.43378i
\(235\) −5.62798 18.1108i −0.367129 1.18142i
\(236\) 3.25807 11.1561i 0.212082 0.726199i
\(237\) 5.69907 1.85174i 0.370195 0.120284i
\(238\) 3.23168 + 0.205589i 0.209479 + 0.0133264i
\(239\) 6.83671 21.0412i 0.442230 1.36104i −0.443263 0.896392i \(-0.646179\pi\)
0.885493 0.464653i \(-0.153821\pi\)
\(240\) 3.34175 + 0.368782i 0.215709 + 0.0238048i
\(241\) 3.81685 + 11.7470i 0.245865 + 0.756694i 0.995493 + 0.0948347i \(0.0302323\pi\)
−0.749628 + 0.661859i \(0.769768\pi\)
\(242\) 3.85724 + 15.0667i 0.247952 + 0.968522i
\(243\) 9.51914i 0.610653i
\(244\) 10.3312 + 13.3574i 0.661386 + 0.855120i
\(245\) −13.8882 + 2.01686i −0.887284 + 0.128853i
\(246\) −1.16899 1.84489i −0.0745323 0.117626i
\(247\) −6.74149 42.5641i −0.428950 2.70829i
\(248\) 2.05889 + 16.5774i 0.130740 + 1.05267i
\(249\) 2.80444 0.177724
\(250\) 15.2832 + 4.05273i 0.966593 + 0.256317i
\(251\) −9.12895 9.12895i −0.576214 0.576214i 0.357644 0.933858i \(-0.383580\pi\)
−0.933858 + 0.357644i \(0.883580\pi\)
\(252\) −4.66934 1.36365i −0.294141 0.0859021i
\(253\) −0.126280 0.0917479i −0.00793916 0.00576814i
\(254\) −12.5424 2.81277i −0.786981 0.176489i
\(255\) 1.81279 + 1.35304i 0.113521 + 0.0847307i
\(256\) 11.7246 10.8873i 0.732787 0.680458i
\(257\) 19.3036 + 19.3036i 1.20412 + 1.20412i 0.972901 + 0.231221i \(0.0742721\pi\)
0.231221 + 0.972901i \(0.425728\pi\)
\(258\) −0.160067 0.625236i −0.00996536 0.0389255i
\(259\) 0.792621 1.55561i 0.0492511 0.0966606i
\(260\) 14.6246 + 19.4198i 0.906982 + 1.20436i
\(261\) 5.68172 + 11.1510i 0.351689 + 0.690229i
\(262\) −12.3698 14.0506i −0.764208 0.868046i
\(263\) 8.17853 + 4.16717i 0.504310 + 0.256959i 0.687586 0.726103i \(-0.258670\pi\)
−0.183277 + 0.983061i \(0.558670\pi\)
\(264\) 0.0337094 0.0432701i 0.00207467 0.00266309i
\(265\) −7.79894 4.10099i −0.479085 0.251922i
\(266\) −9.51936 0.605591i −0.583669 0.0371312i
\(267\) 3.31865 + 4.56773i 0.203098 + 0.279541i
\(268\) 1.10359 + 1.03925i 0.0674126 + 0.0634823i
\(269\) −3.19567 + 20.1767i −0.194844 + 1.23019i 0.675355 + 0.737493i \(0.263990\pi\)
−0.870199 + 0.492701i \(0.836010\pi\)
\(270\) −4.53410 5.28577i −0.275936 0.321682i
\(271\) −2.50596 + 3.44916i −0.152226 + 0.209521i −0.878319 0.478076i \(-0.841334\pi\)
0.726092 + 0.687597i \(0.241334\pi\)
\(272\) 10.5125 2.31896i 0.637412 0.140607i
\(273\) 0.789249 + 1.54899i 0.0477675 + 0.0937491i
\(274\) 0.346366 0.149599i 0.0209247 0.00903758i
\(275\) 0.187038 0.177651i 0.0112788 0.0107128i
\(276\) −0.0682636 2.27346i −0.00410899 0.136846i
\(277\) 4.76351 14.6606i 0.286211 0.880868i −0.699822 0.714318i \(-0.746737\pi\)
0.986033 0.166550i \(-0.0532628\pi\)
\(278\) 26.6594 + 5.97865i 1.59892 + 0.358576i
\(279\) 9.92395 13.6591i 0.594131 0.817752i
\(280\) 4.90256 2.21798i 0.292984 0.132550i
\(281\) 12.4065 + 17.0761i 0.740112 + 1.01868i 0.998612 + 0.0526654i \(0.0167717\pi\)
−0.258500 + 0.966011i \(0.583228\pi\)
\(282\) −1.78769 4.13904i −0.106455 0.246476i
\(283\) 7.93866 5.76778i 0.471905 0.342859i −0.326278 0.945274i \(-0.605795\pi\)
0.798183 + 0.602415i \(0.205795\pi\)
\(284\) 7.91988 16.7697i 0.469958 0.995098i
\(285\) −5.33982 3.98557i −0.316303 0.236085i
\(286\) 0.394889 0.0370494i 0.0233503 0.00219078i
\(287\) −3.11461 1.58697i −0.183850 0.0936760i
\(288\) −16.1712 0.0565441i −0.952897 0.00333189i
\(289\) −9.27937 3.01505i −0.545846 0.177356i
\(290\) −12.8015 5.27047i −0.751733 0.309493i
\(291\) −6.14252 3.12977i −0.360081 0.183470i
\(292\) −0.317515 0.410522i −0.0185812 0.0240240i
\(293\) 9.48858i 0.554329i −0.960823 0.277164i \(-0.910605\pi\)
0.960823 0.277164i \(-0.0893947\pi\)
\(294\) −3.23206 + 0.827443i −0.188498 + 0.0482575i
\(295\) 4.17400 12.3053i 0.243020 0.716440i
\(296\) 1.09954 5.69900i 0.0639094 0.331248i
\(297\) −0.112218 + 0.0177735i −0.00651153 + 0.00103132i
\(298\) −4.55308 + 0.427181i −0.263753 + 0.0247459i
\(299\) 11.6295 11.6295i 0.672553 0.672553i
\(300\) 3.71508 + 0.572104i 0.214490 + 0.0330305i
\(301\) −0.730416 0.730416i −0.0421005 0.0421005i
\(302\) −15.2734 + 18.4361i −0.878887 + 1.06088i
\(303\) −0.106627 0.673217i −0.00612557 0.0386753i
\(304\) −30.9659 + 6.83081i −1.77602 + 0.391774i
\(305\) 10.8998 + 15.4155i 0.624118 + 0.882688i
\(306\) −9.36138 5.54515i −0.535155 0.316995i
\(307\) 15.4305 0.880666 0.440333 0.897834i \(-0.354860\pi\)
0.440333 + 0.897834i \(0.354860\pi\)
\(308\) 0.0111247 0.0870813i 0.000633888 0.00496192i
\(309\) −1.23681 + 2.42737i −0.0703595 + 0.138088i
\(310\) 1.50523 + 18.6158i 0.0854911 + 1.05730i
\(311\) −4.09283 + 12.5964i −0.232083 + 0.714279i 0.765412 + 0.643541i \(0.222535\pi\)
−0.997495 + 0.0707377i \(0.977465\pi\)
\(312\) 3.94744 + 4.22130i 0.223480 + 0.238984i
\(313\) 14.8664 29.1770i 0.840299 1.64918i 0.0825927 0.996583i \(-0.473680\pi\)
0.757706 0.652596i \(-0.226320\pi\)
\(314\) −21.4891 17.8027i −1.21270 1.00466i
\(315\) −5.15032 1.74701i −0.290188 0.0984331i
\(316\) 13.6158 28.8303i 0.765949 1.62183i
\(317\) 1.13258 + 1.55886i 0.0636118 + 0.0875541i 0.839638 0.543147i \(-0.182767\pi\)
−0.776026 + 0.630701i \(0.782767\pi\)
\(318\) −1.94712 0.772495i −0.109189 0.0433194i
\(319\) −0.182727 + 0.132759i −0.0102307 + 0.00743307i
\(320\) 13.6183 11.5992i 0.761285 0.648418i
\(321\) 2.42192 + 1.75963i 0.135178 + 0.0982129i
\(322\) −1.94843 3.07498i −0.108582 0.171362i
\(323\) −20.2913 6.59304i −1.12904 0.366847i
\(324\) 11.2818 + 10.6240i 0.626764 + 0.590222i
\(325\) 15.4050 + 22.3930i 0.854517 + 1.24214i
\(326\) −5.31540 + 13.3978i −0.294393 + 0.742035i
\(327\) −0.686876 + 0.349981i −0.0379843 + 0.0193540i
\(328\) −11.4105 2.20148i −0.630037 0.121556i
\(329\) −5.83788 4.24147i −0.321853 0.233840i
\(330\) 0.0397276 0.0467173i 0.00218693 0.00257170i
\(331\) 24.0783 + 3.81363i 1.32346 + 0.209616i 0.777865 0.628431i \(-0.216303\pi\)
0.545598 + 0.838047i \(0.316303\pi\)
\(332\) 10.2298 10.8631i 0.561433 0.596193i
\(333\) −4.74589 + 3.44809i −0.260073 + 0.188954i
\(334\) −11.6237 + 10.2333i −0.636022 + 0.559939i
\(335\) 1.18291 + 1.21374i 0.0646291 + 0.0663139i
\(336\) 1.10290 0.648094i 0.0601679 0.0353564i
\(337\) −7.16933 + 14.0706i −0.390538 + 0.766474i −0.999646 0.0266132i \(-0.991528\pi\)
0.609108 + 0.793088i \(0.291528\pi\)
\(338\) −1.48600 + 23.3586i −0.0808276 + 1.27054i
\(339\) −1.89881 + 0.967494i −0.103129 + 0.0525471i
\(340\) 11.8536 2.08642i 0.642853 0.113152i
\(341\) 0.271493 + 0.138333i 0.0147022 + 0.00749113i
\(342\) 27.5753 + 16.3340i 1.49110 + 0.883242i
\(343\) −7.98703 + 7.98703i −0.431259 + 0.431259i
\(344\) −3.00577 1.66066i −0.162060 0.0895367i
\(345\) 0.0327176 2.54274i 0.00176145 0.136897i
\(346\) 16.0332 + 25.3033i 0.861948 + 1.36031i
\(347\) −0.506570 + 0.697234i −0.0271941 + 0.0374295i −0.822398 0.568913i \(-0.807364\pi\)
0.795203 + 0.606343i \(0.207364\pi\)
\(348\) −3.15920 0.922626i −0.169351 0.0494580i
\(349\) 8.12497 8.12497i 0.434919 0.434919i −0.455378 0.890298i \(-0.650496\pi\)
0.890298 + 0.455378i \(0.150496\pi\)
\(350\) 5.58250 2.24252i 0.298397 0.119868i
\(351\) 11.9713i 0.638980i
\(352\) −0.0446469 0.288413i −0.00237969 0.0153725i
\(353\) 9.56921 1.51561i 0.509318 0.0806680i 0.103514 0.994628i \(-0.466991\pi\)
0.405804 + 0.913960i \(0.366991\pi\)
\(354\) 0.675967 3.01420i 0.0359272 0.160203i
\(355\) 9.65034 18.3522i 0.512187 0.974035i
\(356\) 29.7989 + 3.80683i 1.57934 + 0.201761i
\(357\) 0.860692 0.0455526
\(358\) −10.3701 6.14267i −0.548078 0.324650i
\(359\) −33.7610 + 10.9696i −1.78184 + 0.578954i −0.999060 0.0433460i \(-0.986198\pi\)
−0.782778 + 0.622300i \(0.786198\pi\)
\(360\) −18.0606 0.838257i −0.951878 0.0441800i
\(361\) 41.7007 + 13.5494i 2.19478 + 0.713126i
\(362\) −4.43027 5.03224i −0.232850 0.264489i
\(363\) 1.27740 + 3.93144i 0.0670462 + 0.206347i
\(364\) 8.87906 + 2.59308i 0.465389 + 0.135914i
\(365\) −0.334990 0.473775i −0.0175342 0.0247985i
\(366\) 2.96581 + 3.36880i 0.155025 + 0.176090i
\(367\) −5.32617 + 33.6281i −0.278024 + 1.75537i 0.313973 + 0.949432i \(0.398340\pi\)
−0.591997 + 0.805940i \(0.701660\pi\)
\(368\) −9.05539 8.02853i −0.472045 0.418516i
\(369\) 6.90372 + 9.50215i 0.359393 + 0.494662i
\(370\) 1.50135 6.31312i 0.0780514 0.328204i
\(371\) −3.31139 + 0.524473i −0.171919 + 0.0272293i
\(372\) 0.825873 + 4.36252i 0.0428195 + 0.226186i
\(373\) −5.54415 1.80140i −0.287065 0.0932731i 0.161945 0.986800i \(-0.448223\pi\)
−0.449010 + 0.893527i \(0.648223\pi\)
\(374\) 0.0724135 0.182523i 0.00374442 0.00943802i
\(375\) 4.12234 + 0.817110i 0.212877 + 0.0421954i
\(376\) −22.5538 8.17336i −1.16312 0.421509i
\(377\) −10.8042 21.2044i −0.556443 1.09208i
\(378\) −2.58552 0.579830i −0.132985 0.0298232i
\(379\) 2.43224 0.385229i 0.124936 0.0197879i −0.0936533 0.995605i \(-0.529855\pi\)
0.218589 + 0.975817i \(0.429855\pi\)
\(380\) −34.9165 + 6.14584i −1.79118 + 0.315275i
\(381\) −3.37441 0.534455i −0.172876 0.0273809i
\(382\) −11.4292 + 28.8080i −0.584770 + 1.47395i
\(383\) 16.9774 + 2.68896i 0.867505 + 0.137399i 0.574295 0.818649i \(-0.305276\pi\)
0.293210 + 0.956048i \(0.405276\pi\)
\(384\) 2.92630 3.08578i 0.149332 0.157471i
\(385\) 0.0166002 0.0967371i 0.000846025 0.00493018i
\(386\) 0.624488 + 6.65607i 0.0317856 + 0.338785i
\(387\) 1.07253 + 3.30091i 0.0545197 + 0.167795i
\(388\) −34.5296 + 12.3769i −1.75297 + 0.628341i
\(389\) 19.0699 9.71659i 0.966882 0.492651i 0.102086 0.994776i \(-0.467448\pi\)
0.864795 + 0.502125i \(0.167448\pi\)
\(390\) 4.20698 + 4.90443i 0.213029 + 0.248345i
\(391\) −2.51617 7.74397i −0.127248 0.391629i
\(392\) −8.58451 + 15.5379i −0.433583 + 0.784781i
\(393\) −3.51826 3.51826i −0.177473 0.177473i
\(394\) 28.7650 7.36416i 1.44916 0.371001i
\(395\) 16.5908 31.5511i 0.834774 1.58751i
\(396\) −0.166140 + 0.243734i −0.00834886 + 0.0122481i
\(397\) 18.6073 25.6107i 0.933873 1.28537i −0.0244572 0.999701i \(-0.507786\pi\)
0.958330 0.285664i \(-0.0922143\pi\)
\(398\) 10.1139 + 8.37888i 0.506965 + 0.419995i
\(399\) −2.53529 −0.126923
\(400\) 15.7677 12.3037i 0.788383 0.615185i
\(401\) −9.28001 −0.463421 −0.231711 0.972785i \(-0.574432\pi\)
−0.231711 + 0.972785i \(0.574432\pi\)
\(402\) 0.310271 + 0.257044i 0.0154749 + 0.0128202i
\(403\) −18.8711 + 25.9738i −0.940035 + 1.29385i
\(404\) −2.99669 2.04268i −0.149091 0.101627i
\(405\) 12.0926 + 12.4078i 0.600885 + 0.616549i
\(406\) −5.10295 + 1.30641i −0.253255 + 0.0648361i
\(407\) −0.0748613 0.0748613i −0.00371074 0.00371074i
\(408\) 2.74936 0.792512i 0.136114 0.0392352i
\(409\) 5.96624 + 18.3622i 0.295012 + 0.907953i 0.983217 + 0.182437i \(0.0583987\pi\)
−0.688206 + 0.725516i \(0.741601\pi\)
\(410\) −12.6400 3.00598i −0.624247 0.148455i
\(411\) 0.0893513 0.0455267i 0.00440737 0.00224567i
\(412\) 4.89104 + 13.6452i 0.240964 + 0.672252i
\(413\) −1.52780 4.70207i −0.0751779 0.231374i
\(414\) 1.14257 + 12.1780i 0.0561543 + 0.598518i
\(415\) 11.9474 11.6439i 0.586476 0.571576i
\(416\) 30.7506 + 0.107522i 1.50767 + 0.00527172i
\(417\) 7.17244 + 1.13600i 0.351236 + 0.0556303i
\(418\) −0.213304 + 0.537646i −0.0104330 + 0.0262971i
\(419\) 36.1315 + 5.72267i 1.76514 + 0.279571i 0.952797 0.303609i \(-0.0981918\pi\)
0.812343 + 0.583180i \(0.198192\pi\)
\(420\) 1.26301 0.671062i 0.0616284 0.0327445i
\(421\) 17.3300 2.74480i 0.844612 0.133773i 0.280892 0.959739i \(-0.409370\pi\)
0.563720 + 0.825966i \(0.309370\pi\)
\(422\) −23.8187 5.34160i −1.15948 0.260025i
\(423\) 11.0074 + 21.6033i 0.535200 + 1.05039i
\(424\) −10.0949 + 4.72444i −0.490250 + 0.229439i
\(425\) 13.3406 1.76239i 0.647113 0.0854885i
\(426\) 1.81781 4.58191i 0.0880733 0.221994i
\(427\) 6.83194 + 2.21983i 0.330621 + 0.107425i
\(428\) 15.6505 2.96282i 0.756497 0.143213i
\(429\) 0.104122 0.0164912i 0.00502704 0.000796205i
\(430\) −3.27787 1.99903i −0.158073 0.0964020i
\(431\) 1.48988 + 2.05064i 0.0717648 + 0.0987758i 0.843391 0.537301i \(-0.180556\pi\)
−0.771626 + 0.636077i \(0.780556\pi\)
\(432\) −8.79298 + 0.528518i −0.423052 + 0.0254283i
\(433\) −0.455180 + 2.87389i −0.0218746 + 0.138111i −0.996209 0.0869964i \(-0.972273\pi\)
0.974334 + 0.225107i \(0.0722731\pi\)
\(434\) 4.69571 + 5.33375i 0.225401 + 0.256028i
\(435\) −3.48462 1.18200i −0.167075 0.0566726i
\(436\) −1.14986 + 3.93729i −0.0550684 + 0.188562i
\(437\) 7.41173 + 22.8109i 0.354551 + 1.09120i
\(438\) −0.0911503 0.103536i −0.00435533 0.00494712i
\(439\) −20.0504 6.51477i −0.956953 0.310933i −0.211415 0.977396i \(-0.567807\pi\)
−0.745538 + 0.666463i \(0.767807\pi\)
\(440\) −0.0360471 0.324299i −0.00171848 0.0154603i
\(441\) 17.0635 5.54427i 0.812549 0.264013i
\(442\) 17.8013 + 10.5445i 0.846722 + 0.501549i
\(443\) −34.4762 −1.63801 −0.819006 0.573785i \(-0.805474\pi\)
−0.819006 + 0.573785i \(0.805474\pi\)
\(444\) 0.195490 1.53025i 0.00927756 0.0726224i
\(445\) 33.1031 + 5.68053i 1.56924 + 0.269283i
\(446\) 0.334561 1.49184i 0.0158419 0.0706406i
\(447\) −1.20052 + 0.190144i −0.0567828 + 0.00899352i
\(448\) 1.51263 6.63620i 0.0714651 0.313531i
\(449\) 2.17818i 0.102795i 0.998678 + 0.0513974i \(0.0163675\pi\)
−0.998678 + 0.0513974i \(0.983632\pi\)
\(450\) −20.1336 1.80200i −0.949109 0.0849469i
\(451\) −0.149886 + 0.149886i −0.00705786 + 0.00705786i
\(452\) −3.17870 + 10.8843i −0.149514 + 0.511955i
\(453\) −3.74026 + 5.14803i −0.175733 + 0.241876i
\(454\) 18.7695 + 29.6217i 0.880896 + 1.39022i
\(455\) 9.79368 + 3.32206i 0.459135 + 0.155741i
\(456\) −8.09863 + 2.33446i −0.379253 + 0.109321i
\(457\) −5.38865 + 5.38865i −0.252070 + 0.252070i −0.821819 0.569749i \(-0.807041\pi\)
0.569749 + 0.821819i \(0.307041\pi\)
\(458\) −20.5723 12.1859i −0.961282 0.569408i
\(459\) −5.28083 2.69072i −0.246488 0.125592i
\(460\) −9.73011 9.40195i −0.453669 0.438368i
\(461\) −10.1208 + 5.15680i −0.471372 + 0.240176i −0.673506 0.739182i \(-0.735212\pi\)
0.202134 + 0.979358i \(0.435212\pi\)
\(462\) 0.00148142 0.0232866i 6.89217e−5 0.00108339i
\(463\) −9.52271 + 18.6894i −0.442558 + 0.868569i 0.556725 + 0.830697i \(0.312058\pi\)
−0.999283 + 0.0378718i \(0.987942\pi\)
\(464\) −15.0977 + 8.87187i −0.700895 + 0.411866i
\(465\) 0.713407 + 4.91254i 0.0330834 + 0.227814i
\(466\) −15.2948 + 13.4651i −0.708516 + 0.623761i
\(467\) 1.54178 1.12017i 0.0713453 0.0518354i −0.551541 0.834148i \(-0.685960\pi\)
0.622886 + 0.782312i \(0.285960\pi\)
\(468\) −22.6266 21.3074i −1.04591 0.984936i
\(469\) 0.636926 + 0.100879i 0.0294105 + 0.00465817i
\(470\) −24.8010 10.2107i −1.14398 0.470985i
\(471\) −6.00054 4.35964i −0.276490 0.200882i
\(472\) −9.20994 13.6134i −0.423922 0.626606i
\(473\) −0.0558110 + 0.0284371i −0.00256619 + 0.00130754i
\(474\) 3.12517 7.87719i 0.143544 0.361811i
\(475\) −39.2965 + 5.19137i −1.80305 + 0.238196i
\(476\) 3.13957 3.33394i 0.143902 0.152811i
\(477\) 10.7137 + 3.48108i 0.490546 + 0.159388i
\(478\) −16.7465 26.4292i −0.765969 1.20884i
\(479\) 1.27089 + 0.923356i 0.0580685 + 0.0421892i 0.616441 0.787401i \(-0.288574\pi\)
−0.558372 + 0.829590i \(0.688574\pi\)
\(480\) 3.41660 3.30658i 0.155946 0.150924i
\(481\) 9.02464 6.55678i 0.411488 0.298963i
\(482\) 16.2366 + 6.44167i 0.739558 + 0.293410i
\(483\) −0.568722 0.782778i −0.0258777 0.0356177i
\(484\) 19.8883 + 9.39270i 0.904012 + 0.426941i
\(485\) −39.1630 + 12.1700i −1.77830 + 0.552612i
\(486\) 10.3667 + 8.58831i 0.470244 + 0.389574i
\(487\) −0.178806 + 0.350926i −0.00810246 + 0.0159020i −0.895022 0.446021i \(-0.852841\pi\)
0.886920 + 0.461923i \(0.152841\pi\)
\(488\) 23.8677 + 0.800198i 1.08044 + 0.0362233i
\(489\) −1.18386 + 3.64354i −0.0535359 + 0.164767i
\(490\) −10.3337 + 16.9444i −0.466829 + 0.765471i
\(491\) 16.1866 31.7679i 0.730490 1.43367i −0.163945 0.986469i \(-0.552422\pi\)
0.894435 0.447198i \(-0.147578\pi\)
\(492\) −3.06384 0.391408i −0.138129 0.0176460i
\(493\) −11.7822 −0.530642
\(494\) −52.4362 31.0602i −2.35922 1.39746i
\(495\) −0.197262 + 0.264289i −0.00886627 + 0.0118789i
\(496\) 19.9110 + 12.7142i 0.894032 + 0.570884i
\(497\) −1.23417 7.79227i −0.0553603 0.349531i
\(498\) 2.53020 3.05414i 0.113381 0.136859i
\(499\) 6.75155 + 6.75155i 0.302241 + 0.302241i 0.841890 0.539649i \(-0.181443\pi\)
−0.539649 + 0.841890i \(0.681443\pi\)
\(500\) 18.2023 12.9876i 0.814031 0.580821i
\(501\) −2.91058 + 2.91058i −0.130035 + 0.130035i
\(502\) −18.1781 + 1.70551i −0.811327 + 0.0761206i
\(503\) 30.2122 4.78514i 1.34710 0.213359i 0.559131 0.829079i \(-0.311135\pi\)
0.787965 + 0.615720i \(0.211135\pi\)
\(504\) −5.69782 + 3.85479i −0.253801 + 0.171706i
\(505\) −3.24942 2.42532i −0.144597 0.107925i
\(506\) −0.213849 + 0.0547477i −0.00950675 + 0.00243383i
\(507\) 6.22108i 0.276288i
\(508\) −14.3792 + 11.1215i −0.637973 + 0.493435i
\(509\) −22.0852 11.2529i −0.978907 0.498778i −0.110096 0.993921i \(-0.535116\pi\)
−0.868812 + 0.495143i \(0.835116\pi\)
\(510\) 3.10904 0.753462i 0.137671 0.0333639i
\(511\) −0.209971 0.0682236i −0.00928856 0.00301804i
\(512\) −1.27863 22.5913i −0.0565079 0.998402i
\(513\) 15.5554 + 7.92588i 0.686788 + 0.349936i
\(514\) 38.4383 3.60637i 1.69544 0.159070i
\(515\) 4.80929 + 15.4762i 0.211923 + 0.681965i
\(516\) −0.825322 0.389778i −0.0363328 0.0171590i
\(517\) −0.354005 + 0.257199i −0.0155691 + 0.0113116i
\(518\) −0.979002 2.26669i −0.0430149 0.0995925i
\(519\) 4.67988 + 6.44130i 0.205424 + 0.282742i
\(520\) 34.3435 + 1.59400i 1.50606 + 0.0699016i
\(521\) 11.4742 15.7929i 0.502694 0.691899i −0.479972 0.877284i \(-0.659353\pi\)
0.982666 + 0.185385i \(0.0593531\pi\)
\(522\) 17.2700 + 3.87299i 0.755888 + 0.169516i
\(523\) 3.93809 12.1202i 0.172201 0.529979i −0.827294 0.561769i \(-0.810121\pi\)
0.999495 + 0.0317901i \(0.0101208\pi\)
\(524\) −26.4618 + 0.794551i −1.15599 + 0.0347101i
\(525\) 1.44295 0.689044i 0.0629755 0.0300723i
\(526\) 11.9170 5.14706i 0.519606 0.224422i
\(527\) 7.21613 + 14.1625i 0.314340 + 0.616926i
\(528\) −0.0167098 0.0757498i −0.000727199 0.00329659i
\(529\) 8.13872 11.2020i 0.353857 0.487043i
\(530\) −11.5025 + 4.79337i −0.499635 + 0.208211i
\(531\) −2.59871 + 16.4076i −0.112774 + 0.712028i
\(532\) −9.24803 + 9.82059i −0.400953 + 0.425776i
\(533\) −13.1279 18.0690i −0.568632 0.782655i
\(534\) 7.96858 + 0.506935i 0.344834 + 0.0219372i
\(535\) 17.6237 2.55935i 0.761941 0.110650i
\(536\) 2.12746 0.264227i 0.0918923 0.0114129i
\(537\) −2.85440 1.45439i −0.123176 0.0627614i
\(538\) 19.0900 + 21.6839i 0.823029 + 0.934860i
\(539\) 0.147001 + 0.288506i 0.00633179 + 0.0124268i
\(540\) −9.84715 + 0.168904i −0.423754 + 0.00726849i
\(541\) 1.75153 3.43758i 0.0753043 0.147793i −0.850285 0.526323i \(-0.823570\pi\)
0.925589 + 0.378530i \(0.123570\pi\)
\(542\) 1.49535 + 5.84097i 0.0642309 + 0.250891i
\(543\) −1.26007 1.26007i −0.0540749 0.0540749i
\(544\) 6.95907 13.5407i 0.298368 0.580552i
\(545\) −1.47312 + 4.34286i −0.0631015 + 0.186028i
\(546\) 2.39898 + 0.537998i 0.102667 + 0.0230242i
\(547\) −26.0978 18.9612i −1.11586 0.810721i −0.132285 0.991212i \(-0.542231\pi\)
−0.983577 + 0.180491i \(0.942231\pi\)
\(548\) 0.149578 0.512177i 0.00638966 0.0218791i
\(549\) −17.0673 17.0673i −0.728414 0.728414i
\(550\) −0.0247209 0.363972i −0.00105410 0.0155198i
\(551\) 34.7060 1.47852
\(552\) −2.53748 1.97681i −0.108002 0.0841386i
\(553\) −2.12179 13.3964i −0.0902275 0.569674i
\(554\) −11.6682 18.4146i −0.495735 0.782363i
\(555\) 0.291710 1.69993i 0.0123824 0.0721579i
\(556\) 30.5635 23.6391i 1.29618 1.00252i
\(557\) 22.1713i 0.939429i 0.882818 + 0.469714i \(0.155643\pi\)
−0.882818 + 0.469714i \(0.844357\pi\)
\(558\) −5.92181 23.1311i −0.250690 0.979216i
\(559\) −2.03949 6.27690i −0.0862611 0.265484i
\(560\) 2.00770 7.34018i 0.0848406 0.310179i
\(561\) 0.0161281 0.0496372i 0.000680929 0.00209568i
\(562\) 29.7900 + 1.89514i 1.25661 + 0.0799417i
\(563\) −1.45586 + 0.473038i −0.0613573 + 0.0199362i −0.339535 0.940593i \(-0.610270\pi\)
0.278178 + 0.960530i \(0.410270\pi\)
\(564\) −6.12046 1.78744i −0.257718 0.0752650i
\(565\) −4.07232 + 12.0055i −0.171324 + 0.505075i
\(566\) 0.881048 13.8493i 0.0370332 0.582129i
\(567\) 6.51114 + 1.03126i 0.273442 + 0.0433090i
\(568\) −11.1174 23.7549i −0.466476 0.996735i
\(569\) −15.6948 + 11.4029i −0.657958 + 0.478035i −0.865973 0.500091i \(-0.833300\pi\)
0.208014 + 0.978126i \(0.433300\pi\)
\(570\) −9.15811 + 2.21943i −0.383591 + 0.0929616i
\(571\) −3.65479 23.0755i −0.152948 0.965678i −0.938098 0.346371i \(-0.887414\pi\)
0.785149 0.619307i \(-0.212586\pi\)
\(572\) 0.315927 0.463477i 0.0132096 0.0193789i
\(573\) −2.54554 + 7.83437i −0.106342 + 0.327286i
\(574\) −4.53832 + 1.96014i −0.189426 + 0.0818147i
\(575\) −10.4180 10.9684i −0.434459 0.457414i
\(576\) −14.6515 + 17.5601i −0.610479 + 0.731669i
\(577\) −3.63174 + 1.85047i −0.151192 + 0.0770359i −0.527949 0.849276i \(-0.677039\pi\)
0.376758 + 0.926312i \(0.377039\pi\)
\(578\) −11.6555 + 7.38538i −0.484805 + 0.307191i
\(579\) 0.277969 + 1.75502i 0.0115520 + 0.0729363i
\(580\) −17.2895 + 9.18629i −0.717908 + 0.381440i
\(581\) 0.992999 6.26955i 0.0411965 0.260105i
\(582\) −8.95032 + 3.86572i −0.371003 + 0.160239i
\(583\) −0.0318036 + 0.200800i −0.00131717 + 0.00831629i
\(584\) −0.733542 0.0245930i −0.0303542 0.00101767i
\(585\) −24.2528 24.8850i −1.00273 1.02887i
\(586\) −10.3334 8.56074i −0.426870 0.353641i
\(587\) −31.7598 + 10.3194i −1.31087 + 0.425926i −0.879349 0.476178i \(-0.842022\pi\)
−0.431518 + 0.902104i \(0.642022\pi\)
\(588\) −2.01490 + 4.26637i −0.0830929 + 0.175942i
\(589\) −21.2561 41.7175i −0.875844 1.71894i
\(590\) −9.63506 15.6476i −0.396669 0.644203i
\(591\) 7.50583 2.43879i 0.308749 0.100318i
\(592\) −5.21442 6.33917i −0.214311 0.260538i
\(593\) 21.5572 21.5572i 0.885249 0.885249i −0.108813 0.994062i \(-0.534705\pi\)
0.994062 + 0.108813i \(0.0347051\pi\)
\(594\) −0.0818884 + 0.138245i −0.00335992 + 0.00567226i
\(595\) 3.66671 3.57355i 0.150321 0.146501i
\(596\) −3.64265 + 5.34390i −0.149209 + 0.218895i
\(597\) 2.82417 + 2.05188i 0.115586 + 0.0839778i
\(598\) −2.17268 23.1574i −0.0888474 0.946975i
\(599\) 5.47272i 0.223609i −0.993730 0.111805i \(-0.964337\pi\)
0.993730 0.111805i \(-0.0356631\pi\)
\(600\) 3.97484 3.52971i 0.162272 0.144100i
\(601\) 19.1546i 0.781332i −0.920532 0.390666i \(-0.872245\pi\)
0.920532 0.390666i \(-0.127755\pi\)
\(602\) −1.45444 + 0.136459i −0.0592787 + 0.00556167i
\(603\) −1.75294 1.27359i −0.0713854 0.0518645i
\(604\) 6.29776 + 33.2667i 0.256252 + 1.35360i
\(605\) 21.7651 + 11.4450i 0.884878 + 0.465304i
\(606\) −0.829361 0.491266i −0.0336905 0.0199563i
\(607\) −22.0491 + 22.0491i −0.894945 + 0.894945i −0.994984 0.100038i \(-0.968103\pi\)
0.100038 + 0.994984i \(0.468103\pi\)
\(608\) −20.4989 + 39.8860i −0.831340 + 1.61759i
\(609\) −1.33154 + 0.432644i −0.0539568 + 0.0175316i
\(610\) 26.6220 + 2.03782i 1.07789 + 0.0825090i
\(611\) −20.9314 41.0802i −0.846793 1.66193i
\(612\) −14.4849 + 5.19200i −0.585516 + 0.209874i
\(613\) −24.7901 + 8.05479i −1.00126 + 0.325330i −0.763370 0.645962i \(-0.776457\pi\)
−0.237892 + 0.971292i \(0.576457\pi\)
\(614\) 13.9217 16.8044i 0.561832 0.678172i
\(615\) −3.40357 0.584057i −0.137245 0.0235514i
\(616\) −0.0847981 0.0906813i −0.00341661 0.00365365i
\(617\) −1.33839 + 8.45025i −0.0538815 + 0.340194i 0.945991 + 0.324194i \(0.105093\pi\)
−0.999872 + 0.0160000i \(0.994907\pi\)
\(618\) 1.52764 + 3.53694i 0.0614506 + 0.142277i
\(619\) −1.56520 + 9.88227i −0.0629106 + 0.397202i 0.936060 + 0.351840i \(0.114444\pi\)
−0.998971 + 0.0453616i \(0.985556\pi\)
\(620\) 21.6313 + 15.1562i 0.868736 + 0.608687i
\(621\) 1.04229 + 6.58074i 0.0418255 + 0.264076i
\(622\) 10.0254 + 15.8220i 0.401982 + 0.634403i
\(623\) 11.3866 5.80177i 0.456195 0.232443i
\(624\) 8.15861 0.490388i 0.326606 0.0196312i
\(625\) 20.9546 13.6347i 0.838183 0.545389i
\(626\) −18.3622 42.5140i −0.733900 1.69920i
\(627\) −0.0475076 + 0.146213i −0.00189727 + 0.00583920i
\(628\) −38.7756 + 7.34066i −1.54732 + 0.292924i
\(629\) −0.863942 5.45472i −0.0344476 0.217494i
\(630\) −6.54926 + 4.03272i −0.260929 + 0.160667i
\(631\) −14.1837 + 10.3051i −0.564644 + 0.410238i −0.833156 0.553038i \(-0.813468\pi\)
0.268512 + 0.963276i \(0.413468\pi\)
\(632\) −19.1130 40.8393i −0.760274 1.62450i
\(633\) −6.40819 1.01496i −0.254703 0.0403409i
\(634\) 2.71948 + 0.173005i 0.108005 + 0.00687090i
\(635\) −16.5947 + 11.7335i −0.658540 + 0.465631i
\(636\) −2.59800 + 1.42353i −0.103017 + 0.0564468i
\(637\) −32.4474 + 10.5428i −1.28561 + 0.417721i
\(638\) −0.0202794 + 0.318774i −0.000802868 + 0.0126204i
\(639\) −8.19158 + 25.2111i −0.324054 + 0.997336i
\(640\) −0.345421 25.2959i −0.0136540 0.999907i
\(641\) −1.26448 3.89167i −0.0499439 0.153712i 0.922974 0.384862i \(-0.125751\pi\)
−0.972918 + 0.231151i \(0.925751\pi\)
\(642\) 4.10140 1.05000i 0.161869 0.0414403i
\(643\) 37.1741i 1.46600i −0.680227 0.733002i \(-0.738119\pi\)
0.680227 0.733002i \(-0.261881\pi\)
\(644\) −5.10668 0.652381i −0.201231 0.0257074i
\(645\) −0.903208 0.474943i −0.0355638 0.0187008i
\(646\) −25.4872 + 16.1497i −1.00278 + 0.635400i
\(647\) −1.24415 7.85525i −0.0489125 0.308822i 0.951087 0.308922i \(-0.0999681\pi\)
−1.00000 0.000100141i \(0.999968\pi\)
\(648\) 21.7485 2.70113i 0.854363 0.106111i
\(649\) −0.299803 −0.0117683
\(650\) 38.2855 + 3.42662i 1.50168 + 0.134403i
\(651\) 1.33557 + 1.33557i 0.0523451 + 0.0523451i
\(652\) 9.79509 + 17.8764i 0.383605 + 0.700093i
\(653\) 17.2669 + 12.5451i 0.675705 + 0.490929i 0.871930 0.489630i \(-0.162868\pi\)
−0.196225 + 0.980559i \(0.562868\pi\)
\(654\) −0.238567 + 1.06379i −0.00932871 + 0.0415976i
\(655\) −29.5961 0.380815i −1.15642 0.0148797i
\(656\) −12.6922 + 10.4402i −0.495547 + 0.407623i
\(657\) 0.524540 + 0.524540i 0.0204643 + 0.0204643i
\(658\) −9.88616 + 2.53097i −0.385403 + 0.0986673i
\(659\) 4.03803 7.92509i 0.157299 0.308718i −0.798884 0.601485i \(-0.794576\pi\)
0.956184 + 0.292767i \(0.0945761\pi\)
\(660\) −0.0150342 0.0854139i −0.000585204 0.00332473i
\(661\) −8.30401 16.2975i −0.322989 0.633901i 0.671233 0.741246i \(-0.265765\pi\)
−0.994222 + 0.107345i \(0.965765\pi\)
\(662\) 25.8770 22.7815i 1.00574 0.885428i
\(663\) 4.89984 + 2.49659i 0.190294 + 0.0969596i
\(664\) −2.60091 20.9416i −0.100935 0.812690i
\(665\) −10.8008 + 10.5264i −0.418837 + 0.408196i
\(666\) −0.526708 + 8.27939i −0.0204095 + 0.320820i
\(667\) 7.78533 + 10.7156i 0.301449 + 0.414909i
\(668\) 0.657315 + 21.8913i 0.0254323 + 0.847000i
\(669\) 0.0635699 0.401365i 0.00245776 0.0155177i
\(670\) 2.38905 0.193173i 0.0922971 0.00746293i
\(671\) 0.256041 0.352411i 0.00988436 0.0136047i
\(672\) 0.289250 1.78582i 0.0111581 0.0688894i
\(673\) −8.02866 15.7571i −0.309482 0.607393i 0.682911 0.730502i \(-0.260714\pi\)
−0.992393 + 0.123108i \(0.960714\pi\)
\(674\) 8.85516 + 20.5024i 0.341088 + 0.789723i
\(675\) −11.0074 0.283313i −0.423676 0.0109047i
\(676\) 24.0977 + 22.6928i 0.926836 + 0.872800i
\(677\) −6.04315 + 18.5989i −0.232257 + 0.714814i 0.765216 + 0.643773i \(0.222632\pi\)
−0.997473 + 0.0710409i \(0.977368\pi\)
\(678\) −0.659500 + 2.94077i −0.0253279 + 0.112940i
\(679\) −9.17181 + 12.6239i −0.351982 + 0.484462i
\(680\) 8.42234 14.7915i 0.322982 0.567227i
\(681\) 5.47858 + 7.54062i 0.209940 + 0.288957i
\(682\) 0.395595 0.170861i 0.0151481 0.00654260i
\(683\) 36.9235 26.8265i 1.41284 1.02649i 0.419938 0.907553i \(-0.362052\pi\)
0.992902 0.118935i \(-0.0379480\pi\)
\(684\) 42.6672 15.2938i 1.63142 0.584772i
\(685\) 0.191629 0.564935i 0.00732176 0.0215851i
\(686\) 1.49217 + 15.9042i 0.0569713 + 0.607225i
\(687\) −5.66257 2.88522i −0.216040 0.110078i
\(688\) −4.52038 + 1.77513i −0.172338 + 0.0676763i
\(689\) −20.3728 6.61952i −0.776141 0.252184i
\(690\) −2.73963 2.32973i −0.104296 0.0886913i
\(691\) −5.55276 2.82927i −0.211237 0.107631i 0.345171 0.938540i \(-0.387821\pi\)
−0.556408 + 0.830909i \(0.687821\pi\)
\(692\) 42.0217 + 5.36829i 1.59742 + 0.204072i
\(693\) 0.125482i 0.00476665i
\(694\) 0.302280 + 1.18073i 0.0114744 + 0.0448199i
\(695\) 35.2726 24.9400i 1.33797 0.946030i
\(696\) −3.85506 + 2.60809i −0.146126 + 0.0988593i
\(697\) −10.9213 + 1.72977i −0.413675 + 0.0655198i
\(698\) −1.51794 16.1789i −0.0574549 0.612380i
\(699\) −3.82981 + 3.82981i −0.144857 + 0.144857i
\(700\) 2.59443 8.10280i 0.0980602 0.306257i
\(701\) −2.49400 2.49400i −0.0941970 0.0941970i 0.658438 0.752635i \(-0.271217\pi\)
−0.752635 + 0.658438i \(0.771217\pi\)
\(702\) −13.0372 10.8007i −0.492058 0.407646i
\(703\) 2.54486 + 16.0676i 0.0959813 + 0.606002i
\(704\) −0.354374 0.211588i −0.0133560 0.00797453i
\(705\) −6.75092 2.28994i −0.254254 0.0862443i
\(706\) 6.98293 11.7887i 0.262806 0.443672i
\(707\) −1.54279 −0.0580225
\(708\) −2.67271 3.45561i −0.100447 0.129870i
\(709\) −12.1619 + 23.8691i −0.456750 + 0.896423i 0.541689 + 0.840579i \(0.317785\pi\)
−0.998439 + 0.0558441i \(0.982215\pi\)
\(710\) −11.2796 27.0673i −0.423317 1.01582i
\(711\) −14.0829 + 43.3428i −0.528151 + 1.62548i
\(712\) 31.0308 29.0176i 1.16293 1.08748i
\(713\) 8.11219 15.9211i 0.303804 0.596249i
\(714\) 0.776529 0.937327i 0.0290609 0.0350786i
\(715\) 0.375107 0.502564i 0.0140282 0.0187948i
\(716\) −16.0457 + 5.75147i −0.599656 + 0.214943i
\(717\) −4.88811 6.72790i −0.182550 0.251258i
\(718\) −18.5134 + 46.6641i −0.690913 + 1.74149i
\(719\) 38.2484 27.7891i 1.42643 1.03636i 0.435757 0.900064i \(-0.356481\pi\)
0.990668 0.136294i \(-0.0435193\pi\)
\(720\) −17.2075 + 18.9124i −0.641284 + 0.704825i
\(721\) 4.98866 + 3.62448i 0.185787 + 0.134983i
\(722\) 52.3789 33.1893i 1.94934 1.23518i
\(723\) 4.41556 + 1.43470i 0.164217 + 0.0533572i
\(724\) −9.47737 + 0.284571i −0.352224 + 0.0105760i
\(725\) −19.7528 + 9.43244i −0.733600 + 0.350312i
\(726\) 5.43398 + 2.15586i 0.201674 + 0.0800115i
\(727\) 14.0493 7.15850i 0.521062 0.265494i −0.173619 0.984813i \(-0.555546\pi\)
0.694680 + 0.719319i \(0.255546\pi\)
\(728\) 10.8348 7.33014i 0.401564 0.271673i
\(729\) −15.9109 11.5599i −0.589291 0.428145i
\(730\) −0.818192 0.0626298i −0.0302827 0.00231803i
\(731\) −3.22730 0.511153i −0.119366 0.0189057i
\(732\) 6.34455 0.190504i 0.234501 0.00704121i
\(733\) −21.1007 + 15.3306i −0.779372 + 0.566247i −0.904790 0.425857i \(-0.859973\pi\)
0.125418 + 0.992104i \(0.459973\pi\)
\(734\) 31.8170 + 36.1402i 1.17439 + 1.33396i
\(735\) −2.45514 + 4.66899i −0.0905593 + 0.172218i
\(736\) −16.9133 + 2.61821i −0.623432 + 0.0965087i
\(737\) 0.0177529 0.0348420i 0.000653936 0.00128342i
\(738\) 16.5769 + 1.05457i 0.610203 + 0.0388191i
\(739\) 31.5142 16.0573i 1.15927 0.590676i 0.234840 0.972034i \(-0.424544\pi\)
0.924427 + 0.381358i \(0.124544\pi\)
\(740\) −5.52070 7.33082i −0.202945 0.269486i
\(741\) −14.4332 7.35406i −0.530215 0.270158i
\(742\) −2.41642 + 4.07942i −0.0887095 + 0.149760i
\(743\) −4.75872 + 4.75872i −0.174580 + 0.174580i −0.788988 0.614408i \(-0.789395\pi\)
0.614408 + 0.788988i \(0.289395\pi\)
\(744\) 5.49607 + 3.03652i 0.201496 + 0.111324i
\(745\) −4.32499 + 5.79457i −0.158455 + 0.212297i
\(746\) −6.96382 + 4.41254i −0.254963 + 0.161555i
\(747\) −12.5365 + 17.2550i −0.458687 + 0.631328i
\(748\) −0.133442 0.243536i −0.00487912 0.00890456i
\(749\) 4.79136 4.79136i 0.175072 0.175072i
\(750\) 4.60911 3.75219i 0.168301 0.137010i
\(751\) 15.0820i 0.550349i 0.961394 + 0.275175i \(0.0887357\pi\)
−0.961394 + 0.275175i \(0.911264\pi\)
\(752\) −29.2495 + 17.1879i −1.06662 + 0.626777i
\(753\) −4.79306 + 0.759146i −0.174669 + 0.0276648i
\(754\) −32.8401 7.36475i −1.19597 0.268208i
\(755\) 5.44014 + 37.4610i 0.197987 + 1.36334i
\(756\) −2.96415 + 2.29260i −0.107805 + 0.0833810i
\(757\) 23.8869 0.868184 0.434092 0.900869i \(-0.357069\pi\)
0.434092 + 0.900869i \(0.357069\pi\)
\(758\) 1.77488 2.99637i 0.0644664 0.108833i
\(759\) −0.0558009 + 0.0181308i −0.00202544 + 0.000658107i
\(760\) −24.8092 + 43.5704i −0.899923 + 1.58046i
\(761\) 10.6566 + 3.46253i 0.386301 + 0.125517i 0.495728 0.868478i \(-0.334901\pi\)
−0.109427 + 0.993995i \(0.534901\pi\)
\(762\) −3.62649 + 3.19268i −0.131374 + 0.115658i
\(763\) 0.539201 + 1.65949i 0.0195204 + 0.0600776i
\(764\) 21.0615 + 38.4379i 0.761977 + 1.39064i
\(765\) −16.4285 + 5.10523i −0.593975 + 0.184580i
\(766\) 18.2457 16.0630i 0.659242 0.580381i
\(767\) 4.94161 31.2001i 0.178431 1.12657i
\(768\) −0.720385 5.97089i −0.0259947 0.215456i
\(769\) 26.9212 + 37.0539i 0.970804 + 1.33620i 0.941640 + 0.336623i \(0.109285\pi\)
0.0291647 + 0.999575i \(0.490715\pi\)
\(770\) −0.0903736 0.105356i −0.00325684 0.00379677i
\(771\) 10.1351 1.60525i 0.365008 0.0578116i
\(772\) 7.81215 + 5.32512i 0.281165 + 0.191655i