Properties

Label 570.2.q.b.349.6
Level $570$
Weight $2$
Character 570.349
Analytic conductor $4.551$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: 12.0.89539436150784.1
Defining polynomial: \(x^{12} - 2 x^{11} + 2 x^{10} - 8 x^{9} + 4 x^{8} + 16 x^{7} - 8 x^{6} + 20 x^{5} + 20 x^{4} - 24 x^{3} + 8 x^{2} - 8 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 349.6
Root \(0.550552 + 0.147520i\) of defining polynomial
Character \(\chi\) \(=\) 570.349
Dual form 570.2.q.b.49.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.12032 + 0.710109i) q^{5} +(0.500000 - 0.866025i) q^{6} -4.67513i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(2.12032 + 0.710109i) q^{5} +(0.500000 - 0.866025i) q^{6} -4.67513i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(2.19130 - 0.445186i) q^{10} -3.96239 q^{11} -1.00000i q^{12} +(-0.698071 - 0.403032i) q^{13} +(-2.33757 - 4.04878i) q^{14} +(2.19130 - 0.445186i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-4.01621 + 2.31876i) q^{17} -1.00000i q^{18} +(3.01270 + 3.15018i) q^{19} +(1.67513 - 1.48119i) q^{20} +(-2.33757 - 4.04878i) q^{21} +(-3.43153 + 1.98119i) q^{22} +(5.52574 + 3.19029i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(3.99149 + 3.01131i) q^{25} -0.806063 q^{26} -1.00000i q^{27} +(-4.04878 - 2.33757i) q^{28} +(-2.03150 + 3.51866i) q^{29} +(1.67513 - 1.48119i) q^{30} +3.35026 q^{31} +(-0.866025 - 0.500000i) q^{32} +(-3.43153 + 1.98119i) q^{33} +(-2.31876 + 4.01621i) q^{34} +(3.31985 - 9.91276i) q^{35} +(-0.500000 - 0.866025i) q^{36} +2.19394i q^{37} +(4.18416 + 1.22179i) q^{38} -0.806063 q^{39} +(0.710109 - 2.12032i) q^{40} +(-2.02785 - 3.51235i) q^{41} +(-4.04878 - 2.33757i) q^{42} +(6.36551 - 3.67513i) q^{43} +(-1.98119 + 3.43153i) q^{44} +(1.67513 - 1.48119i) q^{45} +6.38058 q^{46} +(8.12382 + 4.69029i) q^{47} +(-0.866025 - 0.500000i) q^{48} -14.8568 q^{49} +(4.96239 + 0.612127i) q^{50} +(-2.31876 + 4.01621i) q^{51} +(-0.698071 + 0.403032i) q^{52} +(1.34790 + 0.778209i) q^{53} +(-0.500000 - 0.866025i) q^{54} +(-8.40152 - 2.81373i) q^{55} -4.67513 q^{56} +(4.18416 + 1.22179i) q^{57} +4.06300i q^{58} +(3.94723 + 6.83680i) q^{59} +(0.710109 - 2.12032i) q^{60} +(2.20299 - 3.81568i) q^{61} +(2.90141 - 1.67513i) q^{62} +(-4.04878 - 2.33757i) q^{63} -1.00000 q^{64} +(-1.19394 - 1.35026i) q^{65} +(-1.98119 + 3.43153i) q^{66} +(-6.42008 - 3.70663i) q^{67} +4.63752i q^{68} +6.38058 q^{69} +(-2.08130 - 10.2446i) q^{70} +(1.08427 + 1.87801i) q^{71} +(-0.866025 - 0.500000i) q^{72} +(-10.2463 + 5.91573i) q^{73} +(1.09697 + 1.90000i) q^{74} +(4.96239 + 0.612127i) q^{75} +(4.23449 - 1.03398i) q^{76} +18.5247i q^{77} +(-0.698071 + 0.403032i) q^{78} +(-4.67513 - 8.09756i) q^{79} +(-0.445186 - 2.19130i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-3.51235 - 2.02785i) q^{82} -9.92478i q^{83} -4.67513 q^{84} +(-10.1622 + 2.06456i) q^{85} +(3.67513 - 6.36551i) q^{86} +4.06300i q^{87} +3.96239i q^{88} +(-9.13141 + 15.8161i) q^{89} +(0.710109 - 2.12032i) q^{90} +(-1.88423 + 3.26358i) q^{91} +(5.52574 - 3.19029i) q^{92} +(2.90141 - 1.67513i) q^{93} +9.38058 q^{94} +(4.15090 + 8.81873i) q^{95} -1.00000 q^{96} +(10.7439 - 6.20299i) q^{97} +(-12.8664 + 7.42842i) q^{98} +(-1.98119 + 3.43153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 6q^{4} + 6q^{6} + 6q^{9} + O(q^{10}) \) \( 12q + 6q^{4} + 6q^{6} + 6q^{9} - 2q^{10} - 4q^{11} - 18q^{14} - 2q^{15} - 6q^{16} + 6q^{19} - 18q^{21} - 6q^{24} - 2q^{25} - 8q^{26} - 16q^{29} + 4q^{34} + 2q^{35} - 6q^{36} - 8q^{39} + 2q^{40} + 10q^{41} - 2q^{44} + 28q^{46} - 56q^{49} + 16q^{50} + 4q^{51} - 6q^{54} - 8q^{55} - 36q^{56} + 8q^{59} + 2q^{60} - 28q^{61} - 12q^{64} - 16q^{65} - 2q^{66} + 28q^{69} + 16q^{70} + 44q^{71} + 14q^{74} + 16q^{75} - 12q^{76} - 36q^{79} - 6q^{81} - 36q^{84} - 32q^{85} + 24q^{86} + 6q^{89} + 2q^{90} + 64q^{94} - 12q^{95} - 12q^{96} - 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 2.12032 + 0.710109i 0.948235 + 0.317570i
\(6\) 0.500000 0.866025i 0.204124 0.353553i
\(7\) 4.67513i 1.76703i −0.468400 0.883517i \(-0.655169\pi\)
0.468400 0.883517i \(-0.344831\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 2.19130 0.445186i 0.692951 0.140780i
\(11\) −3.96239 −1.19471 −0.597353 0.801979i \(-0.703781\pi\)
−0.597353 + 0.801979i \(0.703781\pi\)
\(12\) 1.00000i 0.288675i
\(13\) −0.698071 0.403032i −0.193610 0.111781i 0.400061 0.916488i \(-0.368989\pi\)
−0.593672 + 0.804707i \(0.702322\pi\)
\(14\) −2.33757 4.04878i −0.624741 1.08208i
\(15\) 2.19130 0.445186i 0.565792 0.114947i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −4.01621 + 2.31876i −0.974074 + 0.562382i −0.900476 0.434906i \(-0.856782\pi\)
−0.0735981 + 0.997288i \(0.523448\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 3.01270 + 3.15018i 0.691160 + 0.722702i
\(20\) 1.67513 1.48119i 0.374571 0.331205i
\(21\) −2.33757 4.04878i −0.510099 0.883517i
\(22\) −3.43153 + 1.98119i −0.731604 + 0.422392i
\(23\) 5.52574 + 3.19029i 1.15220 + 0.665221i 0.949422 0.314004i \(-0.101671\pi\)
0.202775 + 0.979225i \(0.435004\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) 3.99149 + 3.01131i 0.798298 + 0.602262i
\(26\) −0.806063 −0.158082
\(27\) 1.00000i 0.192450i
\(28\) −4.04878 2.33757i −0.765148 0.441758i
\(29\) −2.03150 + 3.51866i −0.377240 + 0.653400i −0.990660 0.136358i \(-0.956460\pi\)
0.613419 + 0.789757i \(0.289794\pi\)
\(30\) 1.67513 1.48119i 0.305836 0.270428i
\(31\) 3.35026 0.601725 0.300862 0.953668i \(-0.402726\pi\)
0.300862 + 0.953668i \(0.402726\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) −3.43153 + 1.98119i −0.597353 + 0.344882i
\(34\) −2.31876 + 4.01621i −0.397664 + 0.688774i
\(35\) 3.31985 9.91276i 0.561157 1.67556i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 2.19394i 0.360681i 0.983604 + 0.180340i \(0.0577200\pi\)
−0.983604 + 0.180340i \(0.942280\pi\)
\(38\) 4.18416 + 1.22179i 0.678761 + 0.198201i
\(39\) −0.806063 −0.129073
\(40\) 0.710109 2.12032i 0.112278 0.335252i
\(41\) −2.02785 3.51235i −0.316698 0.548537i 0.663099 0.748532i \(-0.269241\pi\)
−0.979797 + 0.199995i \(0.935907\pi\)
\(42\) −4.04878 2.33757i −0.624741 0.360694i
\(43\) 6.36551 3.67513i 0.970732 0.560452i 0.0712725 0.997457i \(-0.477294\pi\)
0.899459 + 0.437005i \(0.143961\pi\)
\(44\) −1.98119 + 3.43153i −0.298676 + 0.517322i
\(45\) 1.67513 1.48119i 0.249714 0.220803i
\(46\) 6.38058 0.940765
\(47\) 8.12382 + 4.69029i 1.18498 + 0.684149i 0.957162 0.289554i \(-0.0935071\pi\)
0.227819 + 0.973703i \(0.426840\pi\)
\(48\) −0.866025 0.500000i −0.125000 0.0721688i
\(49\) −14.8568 −2.12241
\(50\) 4.96239 + 0.612127i 0.701788 + 0.0865678i
\(51\) −2.31876 + 4.01621i −0.324691 + 0.562382i
\(52\) −0.698071 + 0.403032i −0.0968051 + 0.0558904i
\(53\) 1.34790 + 0.778209i 0.185148 + 0.106895i 0.589709 0.807616i \(-0.299242\pi\)
−0.404561 + 0.914511i \(0.632576\pi\)
\(54\) −0.500000 0.866025i −0.0680414 0.117851i
\(55\) −8.40152 2.81373i −1.13286 0.379403i
\(56\) −4.67513 −0.624741
\(57\) 4.18416 + 1.22179i 0.554206 + 0.161830i
\(58\) 4.06300i 0.533499i
\(59\) 3.94723 + 6.83680i 0.513886 + 0.890076i 0.999870 + 0.0161086i \(0.00512775\pi\)
−0.485985 + 0.873967i \(0.661539\pi\)
\(60\) 0.710109 2.12032i 0.0916746 0.273732i
\(61\) 2.20299 3.81568i 0.282063 0.488548i −0.689829 0.723972i \(-0.742314\pi\)
0.971893 + 0.235424i \(0.0756478\pi\)
\(62\) 2.90141 1.67513i 0.368480 0.212742i
\(63\) −4.04878 2.33757i −0.510099 0.294506i
\(64\) −1.00000 −0.125000
\(65\) −1.19394 1.35026i −0.148090 0.167479i
\(66\) −1.98119 + 3.43153i −0.243868 + 0.422392i
\(67\) −6.42008 3.70663i −0.784337 0.452837i 0.0536280 0.998561i \(-0.482921\pi\)
−0.837965 + 0.545724i \(0.816255\pi\)
\(68\) 4.63752i 0.562382i
\(69\) 6.38058 0.768131
\(70\) −2.08130 10.2446i −0.248764 1.22447i
\(71\) 1.08427 + 1.87801i 0.128679 + 0.222879i 0.923165 0.384403i \(-0.125593\pi\)
−0.794486 + 0.607283i \(0.792260\pi\)
\(72\) −0.866025 0.500000i −0.102062 0.0589256i
\(73\) −10.2463 + 5.91573i −1.19924 + 0.692384i −0.960387 0.278671i \(-0.910106\pi\)
−0.238857 + 0.971055i \(0.576773\pi\)
\(74\) 1.09697 + 1.90000i 0.127520 + 0.220871i
\(75\) 4.96239 + 0.612127i 0.573007 + 0.0706823i
\(76\) 4.23449 1.03398i 0.485729 0.118606i
\(77\) 18.5247i 2.11108i
\(78\) −0.698071 + 0.403032i −0.0790410 + 0.0456344i
\(79\) −4.67513 8.09756i −0.525993 0.911047i −0.999541 0.0302792i \(-0.990360\pi\)
0.473548 0.880768i \(-0.342973\pi\)
\(80\) −0.445186 2.19130i −0.0497734 0.244995i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −3.51235 2.02785i −0.387874 0.223939i
\(83\) 9.92478i 1.08939i −0.838636 0.544693i \(-0.816646\pi\)
0.838636 0.544693i \(-0.183354\pi\)
\(84\) −4.67513 −0.510099
\(85\) −10.1622 + 2.06456i −1.10225 + 0.223933i
\(86\) 3.67513 6.36551i 0.396300 0.686411i
\(87\) 4.06300i 0.435600i
\(88\) 3.96239i 0.422392i
\(89\) −9.13141 + 15.8161i −0.967928 + 1.67650i −0.266393 + 0.963865i \(0.585832\pi\)
−0.701535 + 0.712635i \(0.747502\pi\)
\(90\) 0.710109 2.12032i 0.0748520 0.223501i
\(91\) −1.88423 + 3.26358i −0.197521 + 0.342116i
\(92\) 5.52574 3.19029i 0.576099 0.332611i
\(93\) 2.90141 1.67513i 0.300862 0.173703i
\(94\) 9.38058 0.967533
\(95\) 4.15090 + 8.81873i 0.425873 + 0.904783i
\(96\) −1.00000 −0.102062
\(97\) 10.7439 6.20299i 1.09088 0.629818i 0.157067 0.987588i \(-0.449796\pi\)
0.933810 + 0.357770i \(0.116463\pi\)
\(98\) −12.8664 + 7.42842i −1.29970 + 0.750384i
\(99\) −1.98119 + 3.43153i −0.199118 + 0.344882i
\(100\) 4.60362 1.95108i 0.460362 0.195108i
\(101\) 5.21933 9.04014i 0.519343 0.899528i −0.480405 0.877047i \(-0.659510\pi\)
0.999747 0.0224809i \(-0.00715649\pi\)
\(102\) 4.63752i 0.459183i
\(103\) 2.13093i 0.209967i 0.994474 + 0.104984i \(0.0334790\pi\)
−0.994474 + 0.104984i \(0.966521\pi\)
\(104\) −0.403032 + 0.698071i −0.0395205 + 0.0684515i
\(105\) −2.08130 10.2446i −0.203115 0.999773i
\(106\) 1.55642 0.151173
\(107\) 7.95746i 0.769277i 0.923067 + 0.384639i \(0.125674\pi\)
−0.923067 + 0.384639i \(0.874326\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) 5.20299 + 9.01184i 0.498356 + 0.863177i 0.999998 0.00189769i \(-0.000604054\pi\)
−0.501643 + 0.865075i \(0.667271\pi\)
\(110\) −8.68279 + 1.76400i −0.827872 + 0.168191i
\(111\) 1.09697 + 1.90000i 0.104120 + 0.180340i
\(112\) −4.04878 + 2.33757i −0.382574 + 0.220879i
\(113\) 12.3004i 1.15713i −0.815637 0.578564i \(-0.803613\pi\)
0.815637 0.578564i \(-0.196387\pi\)
\(114\) 4.23449 1.03398i 0.396596 0.0968410i
\(115\) 9.45088 + 10.6883i 0.881299 + 0.996690i
\(116\) 2.03150 + 3.51866i 0.188620 + 0.326700i
\(117\) −0.698071 + 0.403032i −0.0645367 + 0.0372603i
\(118\) 6.83680 + 3.94723i 0.629379 + 0.363372i
\(119\) 10.8405 + 18.7763i 0.993747 + 1.72122i
\(120\) −0.445186 2.19130i −0.0406398 0.200038i
\(121\) 4.70052 0.427320
\(122\) 4.40597i 0.398898i
\(123\) −3.51235 2.02785i −0.316698 0.182846i
\(124\) 1.67513 2.90141i 0.150431 0.260554i
\(125\) 6.32487 + 9.21933i 0.565713 + 0.824602i
\(126\) −4.67513 −0.416494
\(127\) −10.3754 5.99024i −0.920668 0.531548i −0.0368202 0.999322i \(-0.511723\pi\)
−0.883848 + 0.467774i \(0.845056\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 3.67513 6.36551i 0.323577 0.560452i
\(130\) −1.70911 0.572393i −0.149899 0.0502022i
\(131\) 6.30606 + 10.9224i 0.550963 + 0.954296i 0.998205 + 0.0598835i \(0.0190729\pi\)
−0.447242 + 0.894413i \(0.647594\pi\)
\(132\) 3.96239i 0.344882i
\(133\) 14.7275 14.0847i 1.27704 1.22130i
\(134\) −7.41327 −0.640409
\(135\) 0.710109 2.12032i 0.0611164 0.182488i
\(136\) 2.31876 + 4.01621i 0.198832 + 0.344387i
\(137\) −5.53206 3.19394i −0.472636 0.272876i 0.244707 0.969597i \(-0.421308\pi\)
−0.717342 + 0.696721i \(0.754642\pi\)
\(138\) 5.52574 3.19029i 0.470383 0.271575i
\(139\) −6.63752 + 11.4965i −0.562987 + 0.975122i 0.434247 + 0.900794i \(0.357015\pi\)
−0.997234 + 0.0743282i \(0.976319\pi\)
\(140\) −6.92478 7.83146i −0.585250 0.661879i
\(141\) 9.38058 0.789987
\(142\) 1.87801 + 1.08427i 0.157599 + 0.0909901i
\(143\) 2.76603 + 1.59697i 0.231307 + 0.133545i
\(144\) −1.00000 −0.0833333
\(145\) −6.80606 + 6.01810i −0.565213 + 0.499776i
\(146\) −5.91573 + 10.2463i −0.489589 + 0.847993i
\(147\) −12.8664 + 7.42842i −1.06120 + 0.612686i
\(148\) 1.90000 + 1.09697i 0.156179 + 0.0901702i
\(149\) 0.449692 + 0.778890i 0.0368402 + 0.0638091i 0.883858 0.467756i \(-0.154937\pi\)
−0.847017 + 0.531565i \(0.821604\pi\)
\(150\) 4.60362 1.95108i 0.375884 0.159305i
\(151\) −10.3757 −0.844359 −0.422179 0.906512i \(-0.638735\pi\)
−0.422179 + 0.906512i \(0.638735\pi\)
\(152\) 3.15018 3.01270i 0.255514 0.244362i
\(153\) 4.63752i 0.374921i
\(154\) 9.26234 + 16.0428i 0.746381 + 1.29277i
\(155\) 7.10362 + 2.37905i 0.570576 + 0.191090i
\(156\) −0.403032 + 0.698071i −0.0322684 + 0.0558904i
\(157\) −12.2534 + 7.07452i −0.977929 + 0.564608i −0.901644 0.432478i \(-0.857639\pi\)
−0.0762850 + 0.997086i \(0.524306\pi\)
\(158\) −8.09756 4.67513i −0.644208 0.371933i
\(159\) 1.55642 0.123432
\(160\) −1.48119 1.67513i −0.117099 0.132431i
\(161\) 14.9150 25.8336i 1.17547 2.03597i
\(162\) −0.866025 0.500000i −0.0680414 0.0392837i
\(163\) 17.4617i 1.36770i −0.729621 0.683852i \(-0.760303\pi\)
0.729621 0.683852i \(-0.239697\pi\)
\(164\) −4.05571 −0.316698
\(165\) −8.68279 + 1.76400i −0.675955 + 0.137327i
\(166\) −4.96239 8.59511i −0.385156 0.667110i
\(167\) −20.0979 11.6036i −1.55523 0.897910i −0.997702 0.0677489i \(-0.978418\pi\)
−0.557523 0.830161i \(-0.688248\pi\)
\(168\) −4.04878 + 2.33757i −0.312370 + 0.180347i
\(169\) −6.17513 10.6956i −0.475010 0.822742i
\(170\) −7.76845 + 6.86907i −0.595813 + 0.526833i
\(171\) 4.23449 1.03398i 0.323819 0.0790704i
\(172\) 7.35026i 0.560452i
\(173\) −16.6055 + 9.58721i −1.26250 + 0.728902i −0.973557 0.228445i \(-0.926636\pi\)
−0.288939 + 0.957348i \(0.593302\pi\)
\(174\) 2.03150 + 3.51866i 0.154008 + 0.266749i
\(175\) 14.0783 18.6607i 1.06422 1.41062i
\(176\) 1.98119 + 3.43153i 0.149338 + 0.258661i
\(177\) 6.83680 + 3.94723i 0.513886 + 0.296692i
\(178\) 18.2628i 1.36886i
\(179\) −18.3707 −1.37309 −0.686546 0.727086i \(-0.740874\pi\)
−0.686546 + 0.727086i \(0.740874\pi\)
\(180\) −0.445186 2.19130i −0.0331822 0.163330i
\(181\) 3.10966 5.38610i 0.231140 0.400345i −0.727004 0.686633i \(-0.759088\pi\)
0.958144 + 0.286288i \(0.0924213\pi\)
\(182\) 3.76845i 0.279336i
\(183\) 4.40597i 0.325699i
\(184\) 3.19029 5.52574i 0.235191 0.407363i
\(185\) −1.55793 + 4.65184i −0.114542 + 0.342010i
\(186\) 1.67513 2.90141i 0.122827 0.212742i
\(187\) 15.9138 9.18783i 1.16373 0.671880i
\(188\) 8.12382 4.69029i 0.592490 0.342075i
\(189\) −4.67513 −0.340066
\(190\) 8.00415 + 5.56180i 0.580682 + 0.403495i
\(191\) 3.47627 0.251534 0.125767 0.992060i \(-0.459861\pi\)
0.125767 + 0.992060i \(0.459861\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) −7.57171 + 4.37153i −0.545024 + 0.314670i −0.747112 0.664698i \(-0.768560\pi\)
0.202089 + 0.979367i \(0.435227\pi\)
\(194\) 6.20299 10.7439i 0.445348 0.771366i
\(195\) −1.70911 0.572393i −0.122392 0.0409899i
\(196\) −7.42842 + 12.8664i −0.530602 + 0.919029i
\(197\) 12.6448i 0.900906i 0.892800 + 0.450453i \(0.148737\pi\)
−0.892800 + 0.450453i \(0.851263\pi\)
\(198\) 3.96239i 0.281595i
\(199\) −2.18783 + 3.78943i −0.155091 + 0.268625i −0.933092 0.359637i \(-0.882900\pi\)
0.778001 + 0.628263i \(0.216234\pi\)
\(200\) 3.01131 3.99149i 0.212932 0.282241i
\(201\) −7.41327 −0.522891
\(202\) 10.4387i 0.734461i
\(203\) 16.4502 + 9.49754i 1.15458 + 0.666596i
\(204\) 2.31876 + 4.01621i 0.162346 + 0.281191i
\(205\) −1.80555 8.88729i −0.126105 0.620715i
\(206\) 1.06547 + 1.84544i 0.0742346 + 0.128578i
\(207\) 5.52574 3.19029i 0.384066 0.221740i
\(208\) 0.806063i 0.0558904i
\(209\) −11.9375 12.4823i −0.825732 0.863416i
\(210\) −6.92478 7.83146i −0.477855 0.540422i
\(211\) 6.65022 + 11.5185i 0.457820 + 0.792967i 0.998845 0.0480390i \(-0.0152972\pi\)
−0.541026 + 0.841006i \(0.681964\pi\)
\(212\) 1.34790 0.778209i 0.0925739 0.0534476i
\(213\) 1.87801 + 1.08427i 0.128679 + 0.0742931i
\(214\) 3.97873 + 6.89137i 0.271981 + 0.471084i
\(215\) 16.1067 3.27224i 1.09846 0.223165i
\(216\) −1.00000 −0.0680414
\(217\) 15.6629i 1.06327i
\(218\) 9.01184 + 5.20299i 0.610359 + 0.352391i
\(219\) −5.91573 + 10.2463i −0.399748 + 0.692384i
\(220\) −6.63752 + 5.86907i −0.447501 + 0.395692i
\(221\) 3.73813 0.251454
\(222\) 1.90000 + 1.09697i 0.127520 + 0.0736237i
\(223\) 1.57468 0.909141i 0.105448 0.0608806i −0.446348 0.894859i \(-0.647276\pi\)
0.551797 + 0.833979i \(0.313942\pi\)
\(224\) −2.33757 + 4.04878i −0.156185 + 0.270521i
\(225\) 4.60362 1.95108i 0.306908 0.130072i
\(226\) −6.15022 10.6525i −0.409106 0.708593i
\(227\) 12.8691i 0.854150i −0.904216 0.427075i \(-0.859544\pi\)
0.904216 0.427075i \(-0.140456\pi\)
\(228\) 3.15018 3.01270i 0.208626 0.199521i
\(229\) −16.1114 −1.06467 −0.532336 0.846533i \(-0.678686\pi\)
−0.532336 + 0.846533i \(0.678686\pi\)
\(230\) 13.5289 + 4.53090i 0.892066 + 0.298759i
\(231\) 9.26234 + 16.0428i 0.609417 + 1.05554i
\(232\) 3.51866 + 2.03150i 0.231012 + 0.133375i
\(233\) 1.90632 1.10062i 0.124887 0.0721037i −0.436255 0.899823i \(-0.643695\pi\)
0.561142 + 0.827719i \(0.310362\pi\)
\(234\) −0.403032 + 0.698071i −0.0263470 + 0.0456344i
\(235\) 13.8945 + 15.7137i 0.906375 + 1.02505i
\(236\) 7.89446 0.513886
\(237\) −8.09756 4.67513i −0.525993 0.303682i
\(238\) 18.7763 + 10.8405i 1.21709 + 0.702686i
\(239\) −4.70052 −0.304052 −0.152026 0.988377i \(-0.548580\pi\)
−0.152026 + 0.988377i \(0.548580\pi\)
\(240\) −1.48119 1.67513i −0.0956107 0.108129i
\(241\) −12.6405 + 21.8939i −0.814244 + 1.41031i 0.0956262 + 0.995417i \(0.469515\pi\)
−0.909870 + 0.414894i \(0.863819\pi\)
\(242\) 4.07077 2.35026i 0.261679 0.151081i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) −2.20299 3.81568i −0.141032 0.244274i
\(245\) −31.5012 10.5500i −2.01254 0.674013i
\(246\) −4.05571 −0.258583
\(247\) −0.833453 3.41327i −0.0530313 0.217181i
\(248\) 3.35026i 0.212742i
\(249\) −4.96239 8.59511i −0.314479 0.544693i
\(250\) 10.0872 + 4.82174i 0.637968 + 0.304954i
\(251\) 6.21933 10.7722i 0.392561 0.679935i −0.600226 0.799831i \(-0.704923\pi\)
0.992787 + 0.119896i \(0.0382560\pi\)
\(252\) −4.04878 + 2.33757i −0.255049 + 0.147253i
\(253\) −21.8951 12.6412i −1.37654 0.794743i
\(254\) −11.9805 −0.751723
\(255\) −7.76845 + 6.86907i −0.486479 + 0.430158i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 22.7011 + 13.1065i 1.41606 + 0.817561i 0.995950 0.0899138i \(-0.0286592\pi\)
0.420107 + 0.907475i \(0.361992\pi\)
\(258\) 7.35026i 0.457607i
\(259\) 10.2569 0.637335
\(260\) −1.76633 + 0.358849i −0.109543 + 0.0222548i
\(261\) 2.03150 + 3.51866i 0.125747 + 0.217800i
\(262\) 10.9224 + 6.30606i 0.674790 + 0.389590i
\(263\) 5.03329 2.90597i 0.310366 0.179190i −0.336724 0.941603i \(-0.609319\pi\)
0.647090 + 0.762413i \(0.275986\pi\)
\(264\) 1.98119 + 3.43153i 0.121934 + 0.211196i
\(265\) 2.30536 + 2.60720i 0.141617 + 0.160159i
\(266\) 5.71203 19.5615i 0.350227 1.19939i
\(267\) 18.2628i 1.11767i
\(268\) −6.42008 + 3.70663i −0.392169 + 0.226419i
\(269\) 11.7501 + 20.3518i 0.716418 + 1.24087i 0.962410 + 0.271600i \(0.0875528\pi\)
−0.245992 + 0.969272i \(0.579114\pi\)
\(270\) −0.445186 2.19130i −0.0270932 0.133358i
\(271\) −16.3430 28.3069i −0.992765 1.71952i −0.600372 0.799721i \(-0.704981\pi\)
−0.392393 0.919798i \(-0.628353\pi\)
\(272\) 4.01621 + 2.31876i 0.243518 + 0.140595i
\(273\) 3.76845i 0.228077i
\(274\) −6.38787 −0.385906
\(275\) −15.8158 11.9320i −0.953731 0.719526i
\(276\) 3.19029 5.52574i 0.192033 0.332611i
\(277\) 19.6688i 1.18178i −0.806751 0.590892i \(-0.798776\pi\)
0.806751 0.590892i \(-0.201224\pi\)
\(278\) 13.2750i 0.796184i
\(279\) 1.67513 2.90141i 0.100287 0.173703i
\(280\) −9.91276 3.31985i −0.592401 0.198399i
\(281\) 5.79631 10.0395i 0.345779 0.598906i −0.639716 0.768611i \(-0.720948\pi\)
0.985495 + 0.169705i \(0.0542815\pi\)
\(282\) 8.12382 4.69029i 0.483766 0.279303i
\(283\) 25.4621 14.7005i 1.51356 0.873855i 0.513688 0.857977i \(-0.328279\pi\)
0.999874 0.0158784i \(-0.00505446\pi\)
\(284\) 2.16854 0.128679
\(285\) 8.00415 + 5.56180i 0.474125 + 0.329452i
\(286\) 3.19394 0.188861
\(287\) −16.4207 + 9.48049i −0.969282 + 0.559615i
\(288\) −0.866025 + 0.500000i −0.0510310 + 0.0294628i
\(289\) 2.25329 3.90282i 0.132547 0.229578i
\(290\) −2.88517 + 8.61486i −0.169423 + 0.505882i
\(291\) 6.20299 10.7439i 0.363625 0.629818i
\(292\) 11.8315i 0.692384i
\(293\) 22.2628i 1.30061i −0.759674 0.650304i \(-0.774642\pi\)
0.759674 0.650304i \(-0.225358\pi\)
\(294\) −7.42842 + 12.8664i −0.433235 + 0.750384i
\(295\) 3.51451 + 17.2992i 0.204622 + 1.00720i
\(296\) 2.19394 0.127520
\(297\) 3.96239i 0.229921i
\(298\) 0.778890 + 0.449692i 0.0451199 + 0.0260500i
\(299\) −2.57158 4.45410i −0.148718 0.257587i
\(300\) 3.01131 3.99149i 0.173858 0.230449i
\(301\) −17.1817 29.7596i −0.990338 1.71532i
\(302\) −8.98558 + 5.18783i −0.517062 + 0.298526i
\(303\) 10.4387i 0.599685i
\(304\) 1.22179 4.18416i 0.0700745 0.239978i
\(305\) 7.38058 6.52610i 0.422611 0.373683i
\(306\) 2.31876 + 4.01621i 0.132555 + 0.229591i
\(307\) 27.0744 15.6314i 1.54522 0.892132i 0.546721 0.837315i \(-0.315876\pi\)
0.998496 0.0548168i \(-0.0174575\pi\)
\(308\) 16.0428 + 9.26234i 0.914126 + 0.527771i
\(309\) 1.06547 + 1.84544i 0.0606123 + 0.104984i
\(310\) 7.34144 1.49149i 0.416966 0.0847110i
\(311\) −17.7889 −1.00872 −0.504359 0.863494i \(-0.668271\pi\)
−0.504359 + 0.863494i \(0.668271\pi\)
\(312\) 0.806063i 0.0456344i
\(313\) −5.40177 3.11871i −0.305326 0.176280i 0.339507 0.940604i \(-0.389740\pi\)
−0.644833 + 0.764323i \(0.723073\pi\)
\(314\) −7.07452 + 12.2534i −0.399238 + 0.691501i
\(315\) −6.92478 7.83146i −0.390167 0.441253i
\(316\) −9.35026 −0.525993
\(317\) −11.9018 6.87153i −0.668474 0.385944i 0.127024 0.991900i \(-0.459457\pi\)
−0.795498 + 0.605956i \(0.792791\pi\)
\(318\) 1.34790 0.778209i 0.0755863 0.0436398i
\(319\) 8.04960 13.9423i 0.450691 0.780620i
\(320\) −2.12032 0.710109i −0.118529 0.0396963i
\(321\) 3.97873 + 6.89137i 0.222071 + 0.384639i
\(322\) 29.8300i 1.66236i
\(323\) −19.4041 5.66608i −1.07968 0.315269i
\(324\) −1.00000 −0.0555556
\(325\) −1.57269 3.71081i −0.0872372 0.205839i
\(326\) −8.73084 15.1223i −0.483557 0.837544i
\(327\) 9.01184 + 5.20299i 0.498356 + 0.287726i
\(328\) −3.51235 + 2.02785i −0.193937 + 0.111970i
\(329\) 21.9277 37.9799i 1.20891 2.09390i
\(330\) −6.63752 + 5.86907i −0.365383 + 0.323082i
\(331\) −1.56230 −0.0858716 −0.0429358 0.999078i \(-0.513671\pi\)
−0.0429358 + 0.999078i \(0.513671\pi\)
\(332\) −8.59511 4.96239i −0.471718 0.272346i
\(333\) 1.90000 + 1.09697i 0.104120 + 0.0601135i
\(334\) −23.2071 −1.26984
\(335\) −10.9805 12.4182i −0.599928 0.678478i
\(336\) −2.33757 + 4.04878i −0.127525 + 0.220879i
\(337\) −11.2909 + 6.51881i −0.615055 + 0.355102i −0.774941 0.632033i \(-0.782221\pi\)
0.159886 + 0.987135i \(0.448887\pi\)
\(338\) −10.6956 6.17513i −0.581766 0.335883i
\(339\) −6.15022 10.6525i −0.334034 0.578564i
\(340\) −3.29314 + 9.83301i −0.178596 + 0.533270i
\(341\) −13.2750 −0.718884
\(342\) 3.15018 3.01270i 0.170342 0.162908i
\(343\) 36.7318i 1.98333i
\(344\) −3.67513 6.36551i −0.198150 0.343205i
\(345\) 13.5289 + 4.53090i 0.728369 + 0.243936i
\(346\) −9.58721 + 16.6055i −0.515412 + 0.892719i
\(347\) 21.2610 12.2750i 1.14135 0.658959i 0.194585 0.980886i \(-0.437664\pi\)
0.946764 + 0.321927i \(0.104331\pi\)
\(348\) 3.51866 + 2.03150i 0.188620 + 0.108900i
\(349\) −6.86907 −0.367693 −0.183846 0.982955i \(-0.558855\pi\)
−0.183846 + 0.982955i \(0.558855\pi\)
\(350\) 2.86177 23.1998i 0.152968 1.24008i
\(351\) −0.403032 + 0.698071i −0.0215122 + 0.0372603i
\(352\) 3.43153 + 1.98119i 0.182901 + 0.105598i
\(353\) 29.1368i 1.55080i −0.631473 0.775398i \(-0.717549\pi\)
0.631473 0.775398i \(-0.282451\pi\)
\(354\) 7.89446 0.419586
\(355\) 0.965406 + 4.75194i 0.0512385 + 0.252207i
\(356\) 9.13141 + 15.8161i 0.483964 + 0.838250i
\(357\) 18.7763 + 10.8405i 0.993747 + 0.573740i
\(358\) −15.9095 + 9.18536i −0.840844 + 0.485462i
\(359\) 10.4223 + 18.0520i 0.550069 + 0.952747i 0.998269 + 0.0588138i \(0.0187318\pi\)
−0.448200 + 0.893933i \(0.647935\pi\)
\(360\) −1.48119 1.67513i −0.0780658 0.0882871i
\(361\) −0.847322 + 18.9811i −0.0445959 + 0.999005i
\(362\) 6.21933i 0.326881i
\(363\) 4.07077 2.35026i 0.213660 0.123357i
\(364\) 1.88423 + 3.26358i 0.0987603 + 0.171058i
\(365\) −25.9263 + 5.26720i −1.35704 + 0.275698i
\(366\) −2.20299 3.81568i −0.115152 0.199449i
\(367\) 23.1758 + 13.3806i 1.20977 + 0.698461i 0.962709 0.270540i \(-0.0872021\pi\)
0.247060 + 0.969000i \(0.420535\pi\)
\(368\) 6.38058i 0.332611i
\(369\) −4.05571 −0.211132
\(370\) 0.976711 + 4.80758i 0.0507768 + 0.249934i
\(371\) 3.63823 6.30159i 0.188887 0.327162i
\(372\) 3.35026i 0.173703i
\(373\) 27.6312i 1.43069i 0.698772 + 0.715344i \(0.253730\pi\)
−0.698772 + 0.715344i \(0.746270\pi\)
\(374\) 9.18783 15.9138i 0.475091 0.822882i
\(375\) 10.0872 + 4.82174i 0.520899 + 0.248994i
\(376\) 4.69029 8.12382i 0.241883 0.418954i
\(377\) 2.83627 1.63752i 0.146075 0.0843365i
\(378\) −4.04878 + 2.33757i −0.208247 + 0.120231i
\(379\) 28.4387 1.46080 0.730398 0.683022i \(-0.239335\pi\)
0.730398 + 0.683022i \(0.239335\pi\)
\(380\) 9.71270 + 0.814582i 0.498251 + 0.0417872i
\(381\) −11.9805 −0.613779
\(382\) 3.01054 1.73813i 0.154033 0.0889307i
\(383\) −14.7601 + 8.52175i −0.754206 + 0.435441i −0.827212 0.561891i \(-0.810074\pi\)
0.0730058 + 0.997332i \(0.476741\pi\)
\(384\) −0.500000 + 0.866025i −0.0255155 + 0.0441942i
\(385\) −13.1545 + 39.2782i −0.670417 + 2.00180i
\(386\) −4.37153 + 7.57171i −0.222505 + 0.385390i
\(387\) 7.35026i 0.373635i
\(388\) 12.4060i 0.629818i
\(389\) 1.28115 2.21901i 0.0649568 0.112508i −0.831718 0.555198i \(-0.812642\pi\)
0.896675 + 0.442690i \(0.145976\pi\)
\(390\) −1.76633 + 0.358849i −0.0894416 + 0.0181710i
\(391\) −29.5901 −1.49643
\(392\) 14.8568i 0.750384i
\(393\) 10.9224 + 6.30606i 0.550963 + 0.318099i
\(394\) 6.32241 + 10.9507i 0.318518 + 0.551690i
\(395\) −4.16261 20.4893i −0.209444 1.03093i
\(396\) 1.98119 + 3.43153i 0.0995588 + 0.172441i
\(397\) 18.6367 10.7599i 0.935347 0.540023i 0.0468484 0.998902i \(-0.485082\pi\)
0.888499 + 0.458879i \(0.151749\pi\)
\(398\) 4.37565i 0.219332i
\(399\) 5.71203 19.5615i 0.285959 0.979301i
\(400\) 0.612127 4.96239i 0.0306063 0.248119i
\(401\) 13.9502 + 24.1624i 0.696638 + 1.20661i 0.969625 + 0.244595i \(0.0786550\pi\)
−0.272987 + 0.962018i \(0.588012\pi\)
\(402\) −6.42008 + 3.70663i −0.320204 + 0.184870i
\(403\) −2.33872 1.35026i −0.116500 0.0672613i
\(404\) −5.21933 9.04014i −0.259671 0.449764i
\(405\) −0.445186 2.19130i −0.0221215 0.108887i
\(406\) 18.9951 0.942710
\(407\) 8.69323i 0.430907i
\(408\) 4.01621 + 2.31876i 0.198832 + 0.114796i
\(409\) 18.6543 32.3103i 0.922398 1.59764i 0.126704 0.991941i \(-0.459560\pi\)
0.795694 0.605699i \(-0.207107\pi\)
\(410\) −6.00729 6.79384i −0.296679 0.335524i
\(411\) −6.38787 −0.315091
\(412\) 1.84544 + 1.06547i 0.0909184 + 0.0524918i
\(413\) 31.9629 18.4538i 1.57279 0.908053i
\(414\) 3.19029 5.52574i 0.156794 0.271575i
\(415\) 7.04767 21.0437i 0.345957 1.03299i
\(416\) 0.403032 + 0.698071i 0.0197603 + 0.0342258i
\(417\) 13.2750i 0.650081i
\(418\) −16.5793 4.84121i −0.810919 0.236791i
\(419\) 16.5271 0.807399 0.403700 0.914892i \(-0.367724\pi\)
0.403700 + 0.914892i \(0.367724\pi\)
\(420\) −9.91276 3.31985i −0.483693 0.161992i
\(421\) 10.4902 + 18.1696i 0.511263 + 0.885534i 0.999915 + 0.0130548i \(0.00415559\pi\)
−0.488652 + 0.872479i \(0.662511\pi\)
\(422\) 11.5185 + 6.65022i 0.560712 + 0.323727i
\(423\) 8.12382 4.69029i 0.394994 0.228050i
\(424\) 0.778209 1.34790i 0.0377931 0.0654597i
\(425\) −23.0132 2.83875i −1.11630 0.137700i
\(426\) 2.16854 0.105066
\(427\) −17.8388 10.2992i −0.863281 0.498415i
\(428\) 6.89137 + 3.97873i 0.333107 + 0.192319i
\(429\) 3.19394 0.154205
\(430\) 12.3127 10.8872i 0.593769 0.525026i
\(431\) 8.69640 15.0626i 0.418891 0.725540i −0.576937 0.816788i \(-0.695752\pi\)
0.995828 + 0.0912482i \(0.0290857\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) −0.124800 0.0720532i −0.00599750 0.00346266i 0.496998 0.867752i \(-0.334436\pi\)
−0.502996 + 0.864289i \(0.667769\pi\)
\(434\) −7.83146 13.5645i −0.375922 0.651116i
\(435\) −2.88517 + 8.61486i −0.138334 + 0.413051i
\(436\) 10.4060 0.498356
\(437\) 6.59739 + 27.0185i 0.315596 + 1.29247i
\(438\) 11.8315i 0.565329i
\(439\) 15.5381 + 26.9128i 0.741593 + 1.28448i 0.951770 + 0.306813i \(0.0992625\pi\)
−0.210177 + 0.977663i \(0.567404\pi\)
\(440\) −2.81373 + 8.40152i −0.134139 + 0.400527i
\(441\) −7.42842 + 12.8664i −0.353734 + 0.612686i
\(442\) 3.23732 1.86907i 0.153984 0.0889025i
\(443\) −26.7774 15.4599i −1.27223 0.734523i −0.296824 0.954932i \(-0.595927\pi\)
−0.975408 + 0.220409i \(0.929261\pi\)
\(444\) 2.19394 0.104120
\(445\) −30.5926 + 27.0508i −1.45023 + 1.28233i
\(446\) 0.909141 1.57468i 0.0430491 0.0745632i
\(447\) 0.778890 + 0.449692i 0.0368402 + 0.0212697i
\(448\) 4.67513i 0.220879i
\(449\) 3.40009 0.160460 0.0802301 0.996776i \(-0.474434\pi\)
0.0802301 + 0.996776i \(0.474434\pi\)
\(450\) 3.01131 3.99149i 0.141955 0.188161i
\(451\) 8.03515 + 13.9173i 0.378360 + 0.655339i
\(452\) −10.6525 6.15022i −0.501051 0.289282i
\(453\) −8.98558 + 5.18783i −0.422179 + 0.243745i
\(454\) −6.43453 11.1449i −0.301988 0.523058i
\(455\) −6.31265 + 5.58181i −0.295942 + 0.261679i
\(456\) 1.22179 4.18416i 0.0572156 0.195941i
\(457\) 9.11634i 0.426445i −0.977004 0.213222i \(-0.931604\pi\)
0.977004 0.213222i \(-0.0683959\pi\)
\(458\) −13.9529 + 8.05571i −0.651976 + 0.376419i
\(459\) 2.31876 + 4.01621i 0.108230 + 0.187461i
\(460\) 13.9818 2.84055i 0.651904 0.132441i
\(461\) −2.13823 3.70352i −0.0995871 0.172490i 0.811927 0.583759i \(-0.198419\pi\)
−0.911514 + 0.411269i \(0.865086\pi\)
\(462\) 16.0428 + 9.26234i 0.746381 + 0.430923i
\(463\) 29.4871i 1.37038i 0.728364 + 0.685190i \(0.240281\pi\)
−0.728364 + 0.685190i \(0.759719\pi\)
\(464\) 4.06300 0.188620
\(465\) 7.34144 1.49149i 0.340451 0.0691662i
\(466\) 1.10062 1.90632i 0.0509850 0.0883087i
\(467\) 15.9575i 0.738423i 0.929345 + 0.369212i \(0.120372\pi\)
−0.929345 + 0.369212i \(0.879628\pi\)
\(468\) 0.806063i 0.0372603i
\(469\) −17.3290 + 30.0147i −0.800179 + 1.38595i
\(470\) 19.8898 + 6.66123i 0.917448 + 0.307260i
\(471\) −7.07452 + 12.2534i −0.325976 + 0.564608i
\(472\) 6.83680 3.94723i 0.314689 0.181686i
\(473\) −25.2226 + 14.5623i −1.15974 + 0.669575i
\(474\) −9.35026 −0.429472
\(475\) 2.53896 + 21.6461i 0.116496 + 0.993191i
\(476\) 21.6810 0.993747
\(477\) 1.34790 0.778209i 0.0617160 0.0356317i
\(478\) −4.07077 + 2.35026i −0.186193 + 0.107498i
\(479\) 10.5410 18.2576i 0.481632 0.834211i −0.518146 0.855292i \(-0.673378\pi\)
0.999778 + 0.0210814i \(0.00671090\pi\)
\(480\) −2.12032 0.710109i −0.0967788 0.0324119i
\(481\) 0.884226 1.53152i 0.0403172 0.0698315i
\(482\) 25.2809i 1.15151i
\(483\) 29.8300i 1.35731i
\(484\) 2.35026 4.07077i 0.106830 0.185035i
\(485\) 27.1852 5.52297i 1.23442 0.250785i
\(486\) −1.00000 −0.0453609
\(487\) 10.2365i 0.463859i 0.972733 + 0.231929i \(0.0745038\pi\)
−0.972733 + 0.231929i \(0.925496\pi\)
\(488\) −3.81568 2.20299i −0.172728 0.0997245i
\(489\) −8.73084 15.1223i −0.394822 0.683852i
\(490\) −32.5559 + 6.61407i −1.47072 + 0.298793i
\(491\) −3.68901 6.38956i −0.166483 0.288357i 0.770698 0.637200i \(-0.219908\pi\)
−0.937181 + 0.348844i \(0.886574\pi\)
\(492\) −3.51235 + 2.02785i −0.158349 + 0.0914228i
\(493\) 18.8423i 0.848613i
\(494\) −2.42842 2.53925i −0.109260 0.114246i
\(495\) −6.63752 + 5.86907i −0.298334 + 0.263795i
\(496\) −1.67513 2.90141i −0.0752156 0.130277i
\(497\) 8.77996 5.06911i 0.393835 0.227381i
\(498\) −8.59511 4.96239i −0.385156 0.222370i
\(499\) −13.1944 22.8534i −0.590663 1.02306i −0.994143 0.108070i \(-0.965533\pi\)
0.403480 0.914988i \(-0.367800\pi\)
\(500\) 11.1466 0.867833i 0.498491 0.0388107i
\(501\) −23.2071 −1.03682
\(502\) 12.4387i 0.555164i
\(503\) −27.0701 15.6289i −1.20700 0.696860i −0.244895 0.969550i \(-0.578754\pi\)
−0.962102 + 0.272689i \(0.912087\pi\)
\(504\) −2.33757 + 4.04878i −0.104123 + 0.180347i
\(505\) 17.4861 15.4617i 0.778122 0.688036i
\(506\) −25.2823 −1.12394
\(507\) −10.6956 6.17513i −0.475010 0.274247i
\(508\) −10.3754 + 5.99024i −0.460334 + 0.265774i
\(509\) 1.79384 3.10703i 0.0795108 0.137717i −0.823528 0.567275i \(-0.807998\pi\)
0.903039 + 0.429559i \(0.141331\pi\)
\(510\) −3.29314 + 9.83301i −0.145823 + 0.435413i
\(511\) 27.6568 + 47.9030i 1.22346 + 2.11910i
\(512\) 1.00000i 0.0441942i
\(513\) 3.15018 3.01270i 0.139084 0.133014i
\(514\) 26.2130 1.15621
\(515\) −1.51319 + 4.51825i −0.0666793 + 0.199098i
\(516\) −3.67513 6.36551i −0.161789 0.280226i
\(517\) −32.1897 18.5847i −1.41570 0.817356i
\(518\) 8.88277 5.12847i 0.390287 0.225332i
\(519\) −9.58721 + 16.6055i −0.420832 + 0.728902i
\(520\) −1.35026 + 1.19394i −0.0592129 + 0.0523576i
\(521\) 1.56134 0.0684036 0.0342018 0.999415i \(-0.489111\pi\)
0.0342018 + 0.999415i \(0.489111\pi\)
\(522\) 3.51866 + 2.03150i 0.154008 + 0.0889164i
\(523\) 11.2025 + 6.46779i 0.489853 + 0.282817i 0.724513 0.689261i \(-0.242065\pi\)
−0.234660 + 0.972077i \(0.575398\pi\)
\(524\) 12.6121 0.550963
\(525\) 2.86177 23.1998i 0.124898 1.01252i
\(526\) 2.90597 5.03329i 0.126706 0.219462i
\(527\) −13.4554 + 7.76845i −0.586124 + 0.338399i
\(528\) 3.43153 + 1.98119i 0.149338 + 0.0862204i
\(529\) 8.85589 + 15.3389i 0.385039 + 0.666907i
\(530\) 3.30010 + 1.10523i 0.143347 + 0.0480079i
\(531\) 7.89446 0.342590
\(532\) −4.83399 19.7968i −0.209580 0.858299i
\(533\) 3.26916i 0.141603i
\(534\) 9.13141 + 15.8161i 0.395155 + 0.684428i
\(535\) −5.65066 + 16.8723i −0.244300 + 0.729455i
\(536\) −3.70663 + 6.42008i −0.160102 + 0.277305i
\(537\) −15.9095 + 9.18536i −0.686546 + 0.396378i
\(538\) 20.3518 + 11.7501i 0.877429 + 0.506584i
\(539\) 58.8686 2.53565
\(540\) −1.48119 1.67513i −0.0637405 0.0720862i
\(541\) −16.3004 + 28.2332i −0.700810 + 1.21384i 0.267372 + 0.963593i \(0.413845\pi\)
−0.968182 + 0.250246i \(0.919489\pi\)
\(542\) −28.3069 16.3430i −1.21588 0.701991i
\(543\) 6.21933i 0.266897i
\(544\) 4.63752 0.198832
\(545\) 4.63260 + 22.8026i 0.198439 + 0.976758i
\(546\) 1.88423 + 3.26358i 0.0806374 + 0.139668i
\(547\) −24.6599 14.2374i −1.05438 0.608748i −0.130510 0.991447i \(-0.541661\pi\)
−0.923873 + 0.382699i \(0.874995\pi\)
\(548\) −5.53206 + 3.19394i −0.236318 + 0.136438i
\(549\) −2.20299 3.81568i −0.0940211 0.162849i
\(550\) −19.6629 2.42548i −0.838429 0.103423i
\(551\) −17.2047 + 4.20106i −0.732947 + 0.178971i
\(552\) 6.38058i 0.271575i
\(553\) −37.8572 + 21.8568i −1.60985 + 0.929448i
\(554\) −9.83440 17.0337i −0.417823 0.723691i
\(555\) 0.976711 + 4.80758i 0.0414591 + 0.204070i
\(556\) 6.63752 + 11.4965i 0.281494 + 0.487561i
\(557\) 24.3934 + 14.0836i 1.03358 + 0.596740i 0.918009 0.396559i \(-0.129796\pi\)
0.115574 + 0.993299i \(0.463129\pi\)
\(558\) 3.35026i 0.141828i
\(559\) −5.92478 −0.250591
\(560\) −10.2446 + 2.08130i −0.432915 + 0.0879512i
\(561\) 9.18783 15.9138i 0.387910 0.671880i
\(562\) 11.5926i 0.489005i
\(563\) 7.02776i 0.296185i 0.988974 + 0.148092i \(0.0473133\pi\)
−0.988974 + 0.148092i \(0.952687\pi\)
\(564\) 4.69029 8.12382i 0.197497 0.342075i
\(565\) 8.73464 26.0808i 0.367469 1.09723i
\(566\) 14.7005 25.4621i 0.617909 1.07025i
\(567\) −4.04878 + 2.33757i −0.170033 + 0.0981685i
\(568\) 1.87801 1.08427i 0.0787997 0.0454950i
\(569\) −21.5320 −0.902668 −0.451334 0.892355i \(-0.649052\pi\)
−0.451334 + 0.892355i \(0.649052\pi\)
\(570\) 9.71270 + 0.814582i 0.406820 + 0.0341191i
\(571\) 14.1417 0.591813 0.295907 0.955217i \(-0.404378\pi\)
0.295907 + 0.955217i \(0.404378\pi\)
\(572\) 2.76603 1.59697i 0.115654 0.0667726i
\(573\) 3.01054 1.73813i 0.125767 0.0726116i
\(574\) −9.48049 + 16.4207i −0.395708 + 0.685386i
\(575\) 12.4490 + 29.3737i 0.519159 + 1.22497i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 4.22918i 0.176063i 0.996118 + 0.0880315i \(0.0280576\pi\)
−0.996118 + 0.0880315i \(0.971942\pi\)
\(578\) 4.50659i 0.187449i
\(579\) −4.37153 + 7.57171i −0.181675 + 0.314670i
\(580\) 1.80879 + 8.90327i 0.0751061 + 0.369688i
\(581\) −46.3996 −1.92498
\(582\) 12.4060i 0.514244i
\(583\) −5.34089 3.08356i −0.221197 0.127708i
\(584\) 5.91573 + 10.2463i 0.244795 + 0.423997i
\(585\) −1.76633 + 0.358849i −0.0730287 + 0.0148366i
\(586\) −11.1314 19.2802i −0.459834 0.796456i
\(587\) −2.11194 + 1.21933i −0.0871691 + 0.0503271i −0.542951 0.839764i \(-0.682693\pi\)
0.455782 + 0.890092i \(0.349360\pi\)
\(588\) 14.8568i 0.612686i
\(589\) 10.0933 + 10.5539i 0.415888 + 0.434868i
\(590\) 11.6932 + 13.2243i 0.481403 + 0.544434i
\(591\) 6.32241 + 10.9507i 0.260069 + 0.450453i
\(592\) 1.90000 1.09697i 0.0780897 0.0450851i
\(593\) −2.19785 1.26893i −0.0902549 0.0521087i 0.454193 0.890903i \(-0.349928\pi\)
−0.544448 + 0.838794i \(0.683261\pi\)
\(594\) 1.98119 + 3.43153i 0.0812894 + 0.140797i
\(595\) 9.65209 + 47.5097i 0.395697 + 1.94771i
\(596\) 0.899385 0.0368402
\(597\) 4.37565i 0.179084i
\(598\) −4.45410 2.57158i −0.182142 0.105160i
\(599\) −14.1776 + 24.5563i −0.579281 + 1.00334i 0.416281 + 0.909236i \(0.363333\pi\)
−0.995562 + 0.0941078i \(0.970000\pi\)
\(600\) 0.612127 4.96239i 0.0249900 0.202589i
\(601\) 23.5705 0.961463 0.480731 0.876868i \(-0.340371\pi\)
0.480731 + 0.876868i \(0.340371\pi\)
\(602\) −29.7596 17.1817i −1.21291 0.700275i
\(603\) −6.42008 + 3.70663i −0.261446 + 0.150946i
\(604\) −5.18783 + 8.98558i −0.211090 + 0.365618i
\(605\) 9.96660 + 3.33788i 0.405200 + 0.135704i
\(606\) −5.21933 9.04014i −0.212021 0.367231i
\(607\) 20.5042i 0.832241i 0.909310 + 0.416120i \(0.136610\pi\)
−0.909310 + 0.416120i \(0.863390\pi\)
\(608\) −1.03398 4.23449i −0.0419334 0.171731i
\(609\) 18.9951 0.769719
\(610\) 3.12872 9.34206i 0.126678 0.378249i
\(611\) −3.78067 6.54831i −0.152950 0.264916i
\(612\) 4.01621 + 2.31876i 0.162346 + 0.0937303i
\(613\) −0.211935 + 0.122361i −0.00855999 + 0.00494211i −0.504274 0.863544i \(-0.668240\pi\)
0.495714 + 0.868486i \(0.334906\pi\)
\(614\) 15.6314 27.0744i 0.630832 1.09263i
\(615\) −6.00729 6.79384i −0.242237 0.273954i
\(616\) 18.5247 0.746381
\(617\) 0.401053 + 0.231548i 0.0161458 + 0.00932177i 0.508051 0.861327i \(-0.330366\pi\)
−0.491905 + 0.870649i \(0.663699\pi\)
\(618\) 1.84544 + 1.06547i 0.0742346 + 0.0428593i
\(619\) 11.1685 0.448902 0.224451 0.974485i \(-0.427941\pi\)
0.224451 + 0.974485i \(0.427941\pi\)
\(620\) 5.61213 4.96239i 0.225388 0.199294i
\(621\) 3.19029 5.52574i 0.128022 0.221740i
\(622\) −15.4057 + 8.89446i −0.617711 + 0.356635i
\(623\) 73.9422 + 42.6905i 2.96243 + 1.71036i
\(624\) 0.403032 + 0.698071i 0.0161342 + 0.0279452i
\(625\) 6.86400 + 24.0392i 0.274560 + 0.961570i
\(626\) −6.23743 −0.249298
\(627\) −16.5793 4.84121i −0.662113 0.193339i
\(628\) 14.1490i 0.564608i
\(629\) −5.08721 8.81131i −0.202840 0.351330i
\(630\) −9.91276 3.31985i −0.394934 0.132266i
\(631\) 20.9695 36.3202i 0.834781 1.44588i −0.0594281 0.998233i \(-0.518928\pi\)
0.894209 0.447650i \(-0.147739\pi\)
\(632\) −8.09756 + 4.67513i −0.322104 + 0.185967i
\(633\) 11.5185 + 6.65022i 0.457820 + 0.264322i
\(634\) −13.7431 −0.545807
\(635\) −17.7454 20.0689i −0.704206 0.796409i
\(636\) 0.778209 1.34790i 0.0308580 0.0534476i
\(637\) 10.3711 + 5.98778i 0.410920 + 0.237245i
\(638\) 16.0992i 0.637373i
\(639\) 2.16854 0.0857863
\(640\) −2.19130 + 0.445186i −0.0866189 + 0.0175975i
\(641\) 12.5999 + 21.8237i 0.497666 + 0.861984i 0.999996 0.00269246i \(-0.000857038\pi\)
−0.502330 + 0.864676i \(0.667524\pi\)
\(642\) 6.89137 + 3.97873i 0.271981 + 0.157028i
\(643\) 18.4581 10.6568i 0.727917 0.420263i −0.0897424 0.995965i \(-0.528604\pi\)
0.817660 + 0.575702i \(0.195271\pi\)
\(644\) −14.9150 25.8336i −0.587734 1.01799i
\(645\) 12.3127 10.8872i 0.484810 0.428682i
\(646\) −19.6375 + 4.79510i −0.772628 + 0.188661i
\(647\) 22.0132i 0.865427i −0.901531 0.432714i \(-0.857556\pi\)
0.901531 0.432714i \(-0.142444\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) −15.6405 27.0901i −0.613942 1.06338i
\(650\) −3.21740 2.42731i −0.126197 0.0952069i
\(651\) −7.83146 13.5645i −0.306939 0.531634i
\(652\) −15.1223 8.73084i −0.592233 0.341926i
\(653\) 33.6785i 1.31794i −0.752169 0.658970i \(-0.770992\pi\)
0.752169 0.658970i \(-0.229008\pi\)
\(654\) 10.4060 0.406906
\(655\) 5.61475 + 27.6370i 0.219386 + 1.07987i
\(656\) −2.02785 + 3.51235i −0.0791744 + 0.137134i
\(657\) 11.8315i 0.461589i
\(658\) 43.8554i 1.70966i
\(659\) −22.9538 + 39.7572i −0.894154 + 1.54872i −0.0593053 + 0.998240i \(0.518889\pi\)
−0.834848 + 0.550480i \(0.814445\pi\)
\(660\) −2.81373 + 8.40152i −0.109524 + 0.327029i
\(661\) −7.24472 + 12.5482i −0.281787 + 0.488069i −0.971825 0.235704i \(-0.924260\pi\)
0.690038 + 0.723773i \(0.257594\pi\)
\(662\) −1.35299 + 0.781148i −0.0525854 + 0.0303602i
\(663\) 3.23732 1.86907i 0.125727 0.0725886i
\(664\) −9.92478 −0.385156
\(665\) 41.2287 19.4060i 1.59878 0.752532i
\(666\) 2.19394 0.0850133
\(667\) −22.4511 + 12.9622i −0.869311 + 0.501897i
\(668\) −20.0979 + 11.6036i −0.777613 + 0.448955i
\(669\) 0.909141 1.57468i 0.0351494 0.0608806i
\(670\) −15.7185 5.26422i −0.607258 0.203375i
\(671\) −8.72909 + 15.1192i −0.336983 + 0.583671i
\(672\) 4.67513i 0.180347i
\(673\) 19.8397i 0.764764i 0.924004 + 0.382382i \(0.124896\pi\)
−0.924004 + 0.382382i \(0.875104\pi\)
\(674\) −6.51881 + 11.2909i −0.251095 + 0.434909i
\(675\) 3.01131 3.99149i 0.115905 0.153633i
\(676\) −12.3503 −0.475010
\(677\) 10.3479i 0.397702i 0.980030 + 0.198851i \(0.0637209\pi\)
−0.980030 + 0.198851i \(0.936279\pi\)
\(678\) −10.6525 6.15022i −0.409106 0.236198i
\(679\) −28.9998 50.2291i −1.11291 1.92761i
\(680\) 2.06456 + 10.1622i 0.0791723 + 0.389703i
\(681\) −6.43453 11.1449i −0.246572 0.427075i
\(682\) −11.4965 + 6.63752i −0.440225 + 0.254164i
\(683\) 40.3307i 1.54321i 0.636100 + 0.771607i \(0.280547\pi\)
−0.636100 + 0.771607i \(0.719453\pi\)
\(684\) 1.22179 4.18416i 0.0467164 0.159985i
\(685\) −9.46168 10.7005i −0.361512 0.408846i
\(686\) 18.3659 + 31.8107i 0.701213 + 1.21454i
\(687\) −13.9529 + 8.05571i −0.532336 + 0.307344i
\(688\) −6.36551 3.67513i −0.242683 0.140113i
\(689\) −0.627285 1.08649i −0.0238977 0.0413920i
\(690\) 13.9818 2.84055i 0.532277 0.108138i
\(691\) 45.8202 1.74308 0.871541 0.490322i \(-0.163121\pi\)
0.871541 + 0.490322i \(0.163121\pi\)
\(692\) 19.1744i 0.728902i
\(693\) 16.0428 + 9.26234i 0.609417 + 0.351847i
\(694\) 12.2750 21.2610i 0.465954 0.807056i
\(695\) −22.2374 + 19.6629i −0.843514 + 0.745857i
\(696\) 4.06300 0.154008
\(697\) 16.2886 + 9.40422i 0.616974 + 0.356210i
\(698\) −5.94879 + 3.43453i −0.225165 + 0.129999i
\(699\) 1.10062 1.90632i 0.0416291 0.0721037i
\(700\) −9.12154 21.5225i −0.344762 0.813475i
\(701\) 18.6375 + 32.2811i 0.703929 + 1.21924i 0.967077 + 0.254486i \(0.0819062\pi\)
−0.263147 + 0.964756i \(0.584760\pi\)
\(702\) 0.806063i 0.0304229i
\(703\) −6.91130 + 6.60966i −0.260665 + 0.249288i
\(704\) 3.96239 0.149338
\(705\) 19.8898 + 6.66123i 0.749093 + 0.250876i
\(706\) −14.5684 25.2332i −0.548289 0.949665i
\(707\) −42.2639 24.4010i −1.58950 0.917696i
\(708\) 6.83680 3.94723i 0.256943 0.148346i
\(709\) 22.8356 39.5524i 0.857608 1.48542i −0.0165958 0.999862i \(-0.505283\pi\)
0.874204 0.485559i \(-0.161384\pi\)
\(710\) 3.21203 + 3.63259i 0.120546 + 0.136329i
\(711\) −9.35026 −0.350662
\(712\) 15.8161 + 9.13141i 0.592732 + 0.342214i
\(713\) 18.5127 + 10.6883i 0.693306 + 0.400280i
\(714\) 21.6810 0.811391
\(715\) 4.73084 + 5.35026i 0.176923 + 0.200088i
\(716\) −9.18536 + 15.9095i −0.343273 + 0.594567i
\(717\) −4.07077 + 2.35026i −0.152026 + 0.0877721i
\(718\) 18.0520 + 10.4223i 0.673694 + 0.388957i
\(719\) −14.5188 25.1473i −0.541460 0.937836i −0.998821 0.0485550i \(-0.984538\pi\)
0.457360 0.889281i \(-0.348795\pi\)
\(720\) −2.12032 0.710109i −0.0790196 0.0264642i
\(721\) 9.96239 0.371019
\(722\) 8.75675 + 16.8618i 0.325892 + 0.627530i
\(723\) 25.2809i 0.940207i
\(724\) −3.10966 5.38610i −0.115570 0.200173i
\(725\) −18.7045 + 7.92723i −0.694668 + 0.294410i
\(726\) 2.35026 4.07077i 0.0872264 0.151081i
\(727\) −11.6107 + 6.70346i −0.430618 + 0.248618i −0.699610 0.714525i \(-0.746643\pi\)
0.268992 + 0.963143i \(0.413310\pi\)
\(728\) 3.26358 + 1.88423i 0.120956 + 0.0698341i
\(729\) −1.00000 −0.0370370
\(730\) −19.8192 + 17.5247i −0.733543 + 0.648618i
\(731\) −17.0435 + 29.5202i −0.630376 + 1.09184i
\(732\) −3.81568 2.20299i −0.141032 0.0814247i
\(733\) 8.72829i 0.322387i −0.986923 0.161193i \(-0.948466\pi\)
0.986923 0.161193i \(-0.0515343\pi\)
\(734\) 26.7612 0.987772
\(735\) −32.5559 + 6.61407i −1.20084 + 0.243964i
\(736\) −3.19029 5.52574i −0.117596 0.203682i
\(737\) 25.4388 + 14.6871i 0.937052 + 0.541007i
\(738\) −3.51235 + 2.02785i −0.129291 + 0.0746464i
\(739\) −16.1661 28.0005i −0.594679 1.03001i −0.993592 0.113025i \(-0.963946\pi\)
0.398913 0.916989i \(-0.369387\pi\)
\(740\) 3.24965 + 3.67513i 0.119459 + 0.135100i
\(741\) −2.42842 2.53925i −0.0892104 0.0932816i
\(742\) 7.27645i 0.267127i
\(743\) −40.5255 + 23.3974i −1.48674 + 0.858367i −0.999886 0.0151182i \(-0.995188\pi\)
−0.486850 + 0.873486i \(0.661854\pi\)
\(744\) −1.67513 2.90141i −0.0614133 0.106371i
\(745\) 0.400394 + 1.97082i 0.0146693 + 0.0722054i
\(746\) 13.8156 + 23.9293i 0.505825 + 0.876114i
\(747\) −8.59511 4.96239i −0.314479 0.181564i
\(748\) 18.3757i 0.671880i
\(749\) 37.2022 1.35934
\(750\) 11.1466 0.867833i 0.407017 0.0316888i
\(751\) 19.6180 33.9794i 0.715871 1.23993i −0.246751 0.969079i \(-0.579363\pi\)
0.962623 0.270846i \(-0.0873036\pi\)
\(752\) 9.38058i 0.342075i
\(753\) 12.4387i 0.453290i
\(754\) 1.63752 2.83627i 0.0596349 0.103291i
\(755\) −21.9997 7.36784i −0.800650 0.268143i
\(756\) −2.33757 + 4.04878i −0.0850164 + 0.147253i
\(757\) 3.30977 1.91090i 0.120296 0.0694527i −0.438645 0.898661i \(-0.644541\pi\)
0.558940 + 0.829208i \(0.311208\pi\)
\(758\) 24.6286 14.2193i 0.894551 0.516469i
\(759\) −25.2823 −0.917691
\(760\) 8.81873 4.15090i 0.319889 0.150569i
\(761\) −28.3928 −1.02924 −0.514619 0.857419i \(-0.672067\pi\)
−0.514619 + 0.857419i \(0.672067\pi\)
\(762\) −10.3754 + 5.99024i −0.375861 + 0.217004i
\(763\) 42.1315 24.3246i 1.52526 0.880611i
\(764\) 1.73813 3.01054i 0.0628835 0.108917i
\(765\) −3.29314 + 9.83301i −0.119064 + 0.355513i
\(766\) −8.52175 + 14.7601i −0.307903 + 0.533304i
\(767\) 6.36344i 0.229770i
\(768\) 1.00000i 0.0360844i
\(769\) 3.11577 5.39668i 0.112358 0.194609i −0.804363 0.594139i \(-0.797493\pi\)
0.916720 + 0.399529i \(0.130826\pi\)
\(770\) 8.24694 + 40.5932i 0.297199 + 1.46288i
\(771\) 26.2130 0.944038
\(772\) 8.74306i 0.314670i
\(773\) −21.6189 12.4817i −0.777577 0.448935i 0.0579936 0.998317i \(-0.481530\pi\)
−0.835571 + 0.549382i \(0.814863\pi\)
\(774\) −3.67513 6.36551i −0.132100 0.228804i
\(775\) 13.3725 + 10.0887i 0.480356 +