Properties

Label 630.2.t.b.551.5
Level 630
Weight 2
Character 630.551
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 551.5
Character \(\chi\) \(=\) 630.551
Dual form 630.2.t.b.311.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.16177 - 1.28464i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(-0.363801 + 1.69341i) q^{6} +(-1.57438 + 2.12634i) q^{7} +1.00000i q^{8} +(-0.300592 - 2.98490i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(1.16177 - 1.28464i) q^{3} +(0.500000 - 0.866025i) q^{4} -1.00000 q^{5} +(-0.363801 + 1.69341i) q^{6} +(-1.57438 + 2.12634i) q^{7} +1.00000i q^{8} +(-0.300592 - 2.98490i) q^{9} +(0.866025 - 0.500000i) q^{10} +5.66323i q^{11} +(-0.531646 - 1.64844i) q^{12} +(2.43404 - 1.40529i) q^{13} +(0.300277 - 2.62866i) q^{14} +(-1.16177 + 1.28464i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.51050 + 6.08036i) q^{17} +(1.75277 + 2.43471i) q^{18} +(3.76339 + 2.17279i) q^{19} +(-0.500000 + 0.866025i) q^{20} +(0.902526 + 4.49282i) q^{21} +(-2.83161 - 4.90450i) q^{22} -4.07471i q^{23} +(1.28464 + 1.16177i) q^{24} +1.00000 q^{25} +(-1.40529 + 2.43404i) q^{26} +(-4.18374 - 3.08161i) q^{27} +(1.05428 + 2.42662i) q^{28} +(5.28540 + 3.05152i) q^{29} +(0.363801 - 1.69341i) q^{30} +(0.319228 + 0.184307i) q^{31} +(0.866025 + 0.500000i) q^{32} +(7.27520 + 6.57936i) q^{33} +(-6.08036 - 3.51050i) q^{34} +(1.57438 - 2.12634i) q^{35} +(-2.73530 - 1.23213i) q^{36} +(0.783876 - 1.35771i) q^{37} -4.34559 q^{38} +(1.02249 - 4.75948i) q^{39} -1.00000i q^{40} +(1.39596 + 2.41787i) q^{41} +(-3.02802 - 3.43963i) q^{42} +(3.18170 - 5.51086i) q^{43} +(4.90450 + 2.83161i) q^{44} +(0.300592 + 2.98490i) q^{45} +(2.03736 + 3.52880i) q^{46} +(-2.59337 - 4.49185i) q^{47} +(-1.69341 - 0.363801i) q^{48} +(-2.04268 - 6.69533i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(11.8894 + 2.55424i) q^{51} -2.81058i q^{52} +(-3.02705 + 1.74767i) q^{53} +(5.16403 + 0.576883i) q^{54} -5.66323i q^{55} +(-2.12634 - 1.57438i) q^{56} +(7.16344 - 2.31031i) q^{57} -6.10305 q^{58} +(-5.32873 + 9.22962i) q^{59} +(0.531646 + 1.64844i) q^{60} +(12.6860 - 7.32427i) q^{61} -0.368613 q^{62} +(6.82018 + 4.06020i) q^{63} -1.00000 q^{64} +(-2.43404 + 1.40529i) q^{65} +(-9.59019 - 2.06029i) q^{66} +(-1.36579 + 2.36562i) q^{67} +7.02099 q^{68} +(-5.23453 - 4.73387i) q^{69} +(-0.300277 + 2.62866i) q^{70} +9.06430i q^{71} +(2.98490 - 0.300592i) q^{72} +(-14.3736 + 8.29858i) q^{73} +1.56775i q^{74} +(1.16177 - 1.28464i) q^{75} +(3.76339 - 2.17279i) q^{76} +(-12.0420 - 8.91605i) q^{77} +(1.49423 + 4.63307i) q^{78} +(4.37159 + 7.57182i) q^{79} +(0.500000 + 0.866025i) q^{80} +(-8.81929 + 1.79448i) q^{81} +(-2.41787 - 1.39596i) q^{82} +(-8.34157 + 14.4480i) q^{83} +(4.34216 + 1.46480i) q^{84} +(-3.51050 - 6.08036i) q^{85} +6.36340i q^{86} +(10.0605 - 3.24466i) q^{87} -5.66323 q^{88} +(-0.332109 + 0.575230i) q^{89} +(-1.75277 - 2.43471i) q^{90} +(-0.843953 + 7.38805i) q^{91} +(-3.52880 - 2.03736i) q^{92} +(0.607637 - 0.195972i) q^{93} +(4.49185 + 2.59337i) q^{94} +(-3.76339 - 2.17279i) q^{95} +(1.64844 - 0.531646i) q^{96} +(1.68214 + 0.971182i) q^{97} +(5.11668 + 4.77698i) q^{98} +(16.9042 - 1.70232i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 1.16177 1.28464i 0.670747 0.741686i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −0.363801 + 1.69341i −0.148521 + 0.691333i
\(7\) −1.57438 + 2.12634i −0.595058 + 0.803683i
\(8\) 1.00000i 0.353553i
\(9\) −0.300592 2.98490i −0.100197 0.994968i
\(10\) 0.866025 0.500000i 0.273861 0.158114i
\(11\) 5.66323i 1.70753i 0.520660 + 0.853764i \(0.325686\pi\)
−0.520660 + 0.853764i \(0.674314\pi\)
\(12\) −0.531646 1.64844i −0.153473 0.475863i
\(13\) 2.43404 1.40529i 0.675080 0.389758i −0.122919 0.992417i \(-0.539225\pi\)
0.797999 + 0.602659i \(0.205892\pi\)
\(14\) 0.300277 2.62866i 0.0802524 0.702538i
\(15\) −1.16177 + 1.28464i −0.299967 + 0.331692i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.51050 + 6.08036i 0.851420 + 1.47470i 0.879927 + 0.475109i \(0.157591\pi\)
−0.0285066 + 0.999594i \(0.509075\pi\)
\(18\) 1.75277 + 2.43471i 0.413132 + 0.573866i
\(19\) 3.76339 + 2.17279i 0.863381 + 0.498473i 0.865143 0.501525i \(-0.167228\pi\)
−0.00176228 + 0.999998i \(0.500561\pi\)
\(20\) −0.500000 + 0.866025i −0.111803 + 0.193649i
\(21\) 0.902526 + 4.49282i 0.196947 + 0.980414i
\(22\) −2.83161 4.90450i −0.603702 1.04564i
\(23\) 4.07471i 0.849636i −0.905279 0.424818i \(-0.860338\pi\)
0.905279 0.424818i \(-0.139662\pi\)
\(24\) 1.28464 + 1.16177i 0.262226 + 0.237145i
\(25\) 1.00000 0.200000
\(26\) −1.40529 + 2.43404i −0.275600 + 0.477354i
\(27\) −4.18374 3.08161i −0.805161 0.593056i
\(28\) 1.05428 + 2.42662i 0.199240 + 0.458588i
\(29\) 5.28540 + 3.05152i 0.981473 + 0.566654i 0.902715 0.430240i \(-0.141571\pi\)
0.0787587 + 0.996894i \(0.474904\pi\)
\(30\) 0.363801 1.69341i 0.0664207 0.309174i
\(31\) 0.319228 + 0.184307i 0.0573351 + 0.0331024i 0.528394 0.849000i \(-0.322795\pi\)
−0.471058 + 0.882102i \(0.656128\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 7.27520 + 6.57936i 1.26645 + 1.14532i
\(34\) −6.08036 3.51050i −1.04277 0.602045i
\(35\) 1.57438 2.12634i 0.266118 0.359418i
\(36\) −2.73530 1.23213i −0.455883 0.205355i
\(37\) 0.783876 1.35771i 0.128868 0.223207i −0.794370 0.607434i \(-0.792199\pi\)
0.923238 + 0.384227i \(0.125532\pi\)
\(38\) −4.34559 −0.704947
\(39\) 1.02249 4.75948i 0.163730 0.762126i
\(40\) 1.00000i 0.158114i
\(41\) 1.39596 + 2.41787i 0.218012 + 0.377609i 0.954200 0.299169i \(-0.0967093\pi\)
−0.736188 + 0.676777i \(0.763376\pi\)
\(42\) −3.02802 3.43963i −0.467234 0.530747i
\(43\) 3.18170 5.51086i 0.485204 0.840399i −0.514651 0.857400i \(-0.672079\pi\)
0.999855 + 0.0170011i \(0.00541188\pi\)
\(44\) 4.90450 + 2.83161i 0.739381 + 0.426882i
\(45\) 0.300592 + 2.98490i 0.0448097 + 0.444963i
\(46\) 2.03736 + 3.52880i 0.300392 + 0.520294i
\(47\) −2.59337 4.49185i −0.378282 0.655204i 0.612530 0.790447i \(-0.290152\pi\)
−0.990812 + 0.135243i \(0.956818\pi\)
\(48\) −1.69341 0.363801i −0.244423 0.0525101i
\(49\) −2.04268 6.69533i −0.291812 0.956476i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 11.8894 + 2.55424i 1.66485 + 0.357666i
\(52\) 2.81058i 0.389758i
\(53\) −3.02705 + 1.74767i −0.415797 + 0.240060i −0.693277 0.720671i \(-0.743834\pi\)
0.277481 + 0.960731i \(0.410501\pi\)
\(54\) 5.16403 + 0.576883i 0.702735 + 0.0785038i
\(55\) 5.66323i 0.763630i
\(56\) −2.12634 1.57438i −0.284145 0.210385i
\(57\) 7.16344 2.31031i 0.948820 0.306008i
\(58\) −6.10305 −0.801370
\(59\) −5.32873 + 9.22962i −0.693741 + 1.20159i 0.276862 + 0.960910i \(0.410705\pi\)
−0.970603 + 0.240685i \(0.922628\pi\)
\(60\) 0.531646 + 1.64844i 0.0686352 + 0.212813i
\(61\) 12.6860 7.32427i 1.62428 0.937777i 0.638519 0.769606i \(-0.279547\pi\)
0.985758 0.168171i \(-0.0537861\pi\)
\(62\) −0.368613 −0.0468139
\(63\) 6.82018 + 4.06020i 0.859262 + 0.511537i
\(64\) −1.00000 −0.125000
\(65\) −2.43404 + 1.40529i −0.301905 + 0.174305i
\(66\) −9.59019 2.06029i −1.18047 0.253604i
\(67\) −1.36579 + 2.36562i −0.166858 + 0.289007i −0.937314 0.348487i \(-0.886696\pi\)
0.770455 + 0.637494i \(0.220029\pi\)
\(68\) 7.02099 0.851420
\(69\) −5.23453 4.73387i −0.630164 0.569891i
\(70\) −0.300277 + 2.62866i −0.0358900 + 0.314185i
\(71\) 9.06430i 1.07573i 0.843030 + 0.537867i \(0.180770\pi\)
−0.843030 + 0.537867i \(0.819230\pi\)
\(72\) 2.98490 0.300592i 0.351774 0.0354252i
\(73\) −14.3736 + 8.29858i −1.68230 + 0.971275i −0.722169 + 0.691716i \(0.756855\pi\)
−0.960129 + 0.279559i \(0.909812\pi\)
\(74\) 1.56775i 0.182248i
\(75\) 1.16177 1.28464i 0.134149 0.148337i
\(76\) 3.76339 2.17279i 0.431690 0.249237i
\(77\) −12.0420 8.91605i −1.37231 1.01608i
\(78\) 1.49423 + 4.63307i 0.169189 + 0.524592i
\(79\) 4.37159 + 7.57182i 0.491842 + 0.851896i 0.999956 0.00939423i \(-0.00299032\pi\)
−0.508114 + 0.861290i \(0.669657\pi\)
\(80\) 0.500000 + 0.866025i 0.0559017 + 0.0968246i
\(81\) −8.81929 + 1.79448i −0.979921 + 0.199386i
\(82\) −2.41787 1.39596i −0.267010 0.154158i
\(83\) −8.34157 + 14.4480i −0.915606 + 1.58588i −0.109595 + 0.993976i \(0.534956\pi\)
−0.806011 + 0.591901i \(0.798378\pi\)
\(84\) 4.34216 + 1.46480i 0.473769 + 0.159823i
\(85\) −3.51050 6.08036i −0.380767 0.659507i
\(86\) 6.36340i 0.686183i
\(87\) 10.0605 3.24466i 1.07860 0.347864i
\(88\) −5.66323 −0.603702
\(89\) −0.332109 + 0.575230i −0.0352035 + 0.0609742i −0.883090 0.469203i \(-0.844541\pi\)
0.847887 + 0.530177i \(0.177875\pi\)
\(90\) −1.75277 2.43471i −0.184758 0.256640i
\(91\) −0.843953 + 7.38805i −0.0884703 + 0.774479i
\(92\) −3.52880 2.03736i −0.367903 0.212409i
\(93\) 0.607637 0.195972i 0.0630090 0.0203213i
\(94\) 4.49185 + 2.59337i 0.463299 + 0.267486i
\(95\) −3.76339 2.17279i −0.386116 0.222924i
\(96\) 1.64844 0.531646i 0.168243 0.0542609i
\(97\) 1.68214 + 0.971182i 0.170795 + 0.0986085i 0.582961 0.812500i \(-0.301894\pi\)
−0.412166 + 0.911109i \(0.635227\pi\)
\(98\) 5.11668 + 4.77698i 0.516863 + 0.482548i
\(99\) 16.9042 1.70232i 1.69893 0.171090i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) 6.28513 0.625393 0.312697 0.949853i \(-0.398768\pi\)
0.312697 + 0.949853i \(0.398768\pi\)
\(102\) −11.5737 + 3.73268i −1.14596 + 0.369590i
\(103\) 5.60402i 0.552181i −0.961132 0.276090i \(-0.910961\pi\)
0.961132 0.276090i \(-0.0890389\pi\)
\(104\) 1.40529 + 2.43404i 0.137800 + 0.238677i
\(105\) −0.902526 4.49282i −0.0880775 0.438455i
\(106\) 1.74767 3.02705i 0.169748 0.294013i
\(107\) −1.38444 0.799307i −0.133839 0.0772720i 0.431586 0.902072i \(-0.357954\pi\)
−0.565425 + 0.824800i \(0.691288\pi\)
\(108\) −4.76062 + 2.08242i −0.458091 + 0.200381i
\(109\) 2.63446 + 4.56303i 0.252336 + 0.437059i 0.964169 0.265290i \(-0.0854679\pi\)
−0.711833 + 0.702349i \(0.752135\pi\)
\(110\) 2.83161 + 4.90450i 0.269984 + 0.467626i
\(111\) −0.833489 2.58435i −0.0791113 0.245295i
\(112\) 2.62866 + 0.300277i 0.248385 + 0.0283735i
\(113\) 13.0916 7.55846i 1.23156 0.711040i 0.264203 0.964467i \(-0.414891\pi\)
0.967355 + 0.253427i \(0.0815576\pi\)
\(114\) −5.04856 + 5.58251i −0.472841 + 0.522850i
\(115\) 4.07471i 0.379969i
\(116\) 5.28540 3.05152i 0.490737 0.283327i
\(117\) −4.92631 6.84294i −0.455437 0.632630i
\(118\) 10.6575i 0.981098i
\(119\) −18.4558 2.10824i −1.69184 0.193262i
\(120\) −1.28464 1.16177i −0.117271 0.106054i
\(121\) −21.0722 −1.91565
\(122\) −7.32427 + 12.6860i −0.663108 + 1.14854i
\(123\) 4.72788 + 1.01570i 0.426298 + 0.0915829i
\(124\) 0.319228 0.184307i 0.0286676 0.0165512i
\(125\) −1.00000 −0.0894427
\(126\) −7.93654 0.106144i −0.707044 0.00945602i
\(127\) −4.63451 −0.411247 −0.205623 0.978631i \(-0.565922\pi\)
−0.205623 + 0.978631i \(0.565922\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −3.38307 10.4897i −0.297863 0.923564i
\(130\) 1.40529 2.43404i 0.123252 0.213479i
\(131\) −3.71505 −0.324585 −0.162293 0.986743i \(-0.551889\pi\)
−0.162293 + 0.986743i \(0.551889\pi\)
\(132\) 9.33549 3.01083i 0.812550 0.262059i
\(133\) −10.5451 + 4.58147i −0.914376 + 0.397264i
\(134\) 2.73159i 0.235973i
\(135\) 4.18374 + 3.08161i 0.360079 + 0.265223i
\(136\) −6.08036 + 3.51050i −0.521386 + 0.301022i
\(137\) 21.0639i 1.79961i −0.436294 0.899804i \(-0.643709\pi\)
0.436294 0.899804i \(-0.356291\pi\)
\(138\) 6.90017 + 1.48238i 0.587382 + 0.126189i
\(139\) −7.81740 + 4.51338i −0.663063 + 0.382820i −0.793443 0.608645i \(-0.791714\pi\)
0.130380 + 0.991464i \(0.458380\pi\)
\(140\) −1.05428 2.42662i −0.0891030 0.205087i
\(141\) −8.78330 1.88694i −0.739688 0.158909i
\(142\) −4.53215 7.84991i −0.380329 0.658750i
\(143\) 7.95849 + 13.7845i 0.665522 + 1.15272i
\(144\) −2.43471 + 1.75277i −0.202892 + 0.146064i
\(145\) −5.28540 3.05152i −0.438928 0.253415i
\(146\) 8.29858 14.3736i 0.686795 1.18956i
\(147\) −10.9742 5.15431i −0.905137 0.425120i
\(148\) −0.783876 1.35771i −0.0644342 0.111603i
\(149\) 8.86835i 0.726524i −0.931687 0.363262i \(-0.881663\pi\)
0.931687 0.363262i \(-0.118337\pi\)
\(150\) −0.363801 + 1.69341i −0.0297042 + 0.138267i
\(151\) 13.4954 1.09824 0.549122 0.835742i \(-0.314962\pi\)
0.549122 + 0.835742i \(0.314962\pi\)
\(152\) −2.17279 + 3.76339i −0.176237 + 0.305251i
\(153\) 17.0940 12.3062i 1.38197 0.994897i
\(154\) 14.8867 + 1.70054i 1.19960 + 0.137033i
\(155\) −0.319228 0.184307i −0.0256410 0.0148039i
\(156\) −3.61058 3.26524i −0.289078 0.261429i
\(157\) −2.88573 1.66608i −0.230306 0.132967i 0.380407 0.924819i \(-0.375784\pi\)
−0.610713 + 0.791852i \(0.709117\pi\)
\(158\) −7.57182 4.37159i −0.602381 0.347785i
\(159\) −1.27161 + 5.91904i −0.100845 + 0.469411i
\(160\) −0.866025 0.500000i −0.0684653 0.0395285i
\(161\) 8.66424 + 6.41513i 0.682838 + 0.505583i
\(162\) 6.74049 5.96371i 0.529583 0.468553i
\(163\) 7.01305 12.1470i 0.549304 0.951423i −0.449018 0.893523i \(-0.648226\pi\)
0.998322 0.0579002i \(-0.0184405\pi\)
\(164\) 2.79192 0.218012
\(165\) −7.27520 6.57936i −0.566374 0.512202i
\(166\) 16.6831i 1.29486i
\(167\) −9.43447 16.3410i −0.730061 1.26450i −0.956857 0.290560i \(-0.906158\pi\)
0.226796 0.973942i \(-0.427175\pi\)
\(168\) −4.49282 + 0.902526i −0.346629 + 0.0696314i
\(169\) −2.55031 + 4.41727i −0.196178 + 0.339790i
\(170\) 6.08036 + 3.51050i 0.466342 + 0.269243i
\(171\) 5.35433 11.8865i 0.409456 0.908981i
\(172\) −3.18170 5.51086i −0.242602 0.420199i
\(173\) −4.54360 7.86975i −0.345444 0.598326i 0.639991 0.768383i \(-0.278938\pi\)
−0.985434 + 0.170057i \(0.945605\pi\)
\(174\) −7.09032 + 7.84021i −0.537516 + 0.594365i
\(175\) −1.57438 + 2.12634i −0.119012 + 0.160737i
\(176\) 4.90450 2.83161i 0.369691 0.213441i
\(177\) 5.66599 + 17.5682i 0.425882 + 1.32050i
\(178\) 0.664218i 0.0497853i
\(179\) 12.1711 7.02701i 0.909714 0.525224i 0.0293749 0.999568i \(-0.490648\pi\)
0.880339 + 0.474345i \(0.157315\pi\)
\(180\) 2.73530 + 1.23213i 0.203877 + 0.0918376i
\(181\) 3.34540i 0.248662i −0.992241 0.124331i \(-0.960322\pi\)
0.992241 0.124331i \(-0.0396784\pi\)
\(182\) −2.96314 6.82022i −0.219643 0.505548i
\(183\) 5.32915 24.8060i 0.393942 1.83372i
\(184\) 4.07471 0.300392
\(185\) −0.783876 + 1.35771i −0.0576317 + 0.0998211i
\(186\) −0.428243 + 0.473535i −0.0314003 + 0.0347213i
\(187\) −34.4345 + 19.8807i −2.51810 + 1.45382i
\(188\) −5.18675 −0.378282
\(189\) 13.1393 4.04446i 0.955747 0.294191i
\(190\) 4.34559 0.315262
\(191\) 5.35829 3.09361i 0.387713 0.223846i −0.293456 0.955973i \(-0.594805\pi\)
0.681169 + 0.732127i \(0.261472\pi\)
\(192\) −1.16177 + 1.28464i −0.0838433 + 0.0927108i
\(193\) −1.04267 + 1.80595i −0.0750528 + 0.129995i −0.901109 0.433592i \(-0.857246\pi\)
0.826056 + 0.563587i \(0.190579\pi\)
\(194\) −1.94236 −0.139454
\(195\) −1.02249 + 4.75948i −0.0732222 + 0.340833i
\(196\) −6.81967 1.57865i −0.487119 0.112761i
\(197\) 24.7197i 1.76121i −0.473853 0.880604i \(-0.657137\pi\)
0.473853 0.880604i \(-0.342863\pi\)
\(198\) −13.7883 + 9.92635i −0.979891 + 0.705435i
\(199\) 5.60009 3.23321i 0.396980 0.229196i −0.288200 0.957570i \(-0.593057\pi\)
0.685180 + 0.728374i \(0.259724\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) 1.45224 + 4.50286i 0.102433 + 0.317607i
\(202\) −5.44308 + 3.14256i −0.382974 + 0.221110i
\(203\) −14.8098 + 6.43433i −1.03944 + 0.451601i
\(204\) 8.15676 9.01943i 0.571087 0.631487i
\(205\) −1.39596 2.41787i −0.0974981 0.168872i
\(206\) 2.80201 + 4.85323i 0.195225 + 0.338140i
\(207\) −12.1626 + 1.22483i −0.845361 + 0.0851314i
\(208\) −2.43404 1.40529i −0.168770 0.0974394i
\(209\) −12.3050 + 21.3129i −0.851157 + 1.47425i
\(210\) 3.02802 + 3.43963i 0.208953 + 0.237357i
\(211\) 0.607035 + 1.05142i 0.0417900 + 0.0723824i 0.886164 0.463372i \(-0.153361\pi\)
−0.844374 + 0.535754i \(0.820027\pi\)
\(212\) 3.49533i 0.240060i
\(213\) 11.6443 + 10.5306i 0.797857 + 0.721545i
\(214\) 1.59861 0.109279
\(215\) −3.18170 + 5.51086i −0.216990 + 0.375838i
\(216\) 3.08161 4.18374i 0.209677 0.284667i
\(217\) −0.894485 + 0.388622i −0.0607216 + 0.0263814i
\(218\) −4.56303 2.63446i −0.309047 0.178428i
\(219\) −6.03806 + 28.1058i −0.408014 + 1.89922i
\(220\) −4.90450 2.83161i −0.330661 0.190907i
\(221\) 17.0893 + 9.86653i 1.14955 + 0.663695i
\(222\) 2.01400 + 1.82136i 0.135171 + 0.122242i
\(223\) 1.79024 + 1.03360i 0.119884 + 0.0692148i 0.558743 0.829341i \(-0.311284\pi\)
−0.438859 + 0.898556i \(0.644617\pi\)
\(224\) −2.42662 + 1.05428i −0.162135 + 0.0704421i
\(225\) −0.300592 2.98490i −0.0200395 0.198994i
\(226\) −7.55846 + 13.0916i −0.502781 + 0.870843i
\(227\) −19.5582 −1.29813 −0.649063 0.760735i \(-0.724839\pi\)
−0.649063 + 0.760735i \(0.724839\pi\)
\(228\) 1.58093 7.35888i 0.104700 0.487353i
\(229\) 13.3285i 0.880775i −0.897808 0.440388i \(-0.854841\pi\)
0.897808 0.440388i \(-0.145159\pi\)
\(230\) −2.03736 3.52880i −0.134339 0.232682i
\(231\) −25.4439 + 5.11121i −1.67408 + 0.336293i
\(232\) −3.05152 + 5.28540i −0.200342 + 0.347003i
\(233\) −15.4047 8.89393i −1.00920 0.582661i −0.0982415 0.995163i \(-0.531322\pi\)
−0.910957 + 0.412502i \(0.864655\pi\)
\(234\) 7.68778 + 3.46300i 0.502566 + 0.226384i
\(235\) 2.59337 + 4.49185i 0.169173 + 0.293016i
\(236\) 5.32873 + 9.22962i 0.346871 + 0.600797i
\(237\) 14.8058 + 3.18078i 0.961741 + 0.206614i
\(238\) 17.0373 7.40209i 1.10436 0.479806i
\(239\) −3.40145 + 1.96383i −0.220021 + 0.127029i −0.605960 0.795495i \(-0.707211\pi\)
0.385939 + 0.922524i \(0.373878\pi\)
\(240\) 1.69341 + 0.363801i 0.109309 + 0.0234832i
\(241\) 11.1448i 0.717903i −0.933356 0.358951i \(-0.883134\pi\)
0.933356 0.358951i \(-0.116866\pi\)
\(242\) 18.2490 10.5361i 1.17309 0.677285i
\(243\) −7.94071 + 13.4144i −0.509397 + 0.860532i
\(244\) 14.6485i 0.937777i
\(245\) 2.04268 + 6.69533i 0.130502 + 0.427749i
\(246\) −4.60231 + 1.48431i −0.293433 + 0.0946363i
\(247\) 12.2136 0.777135
\(248\) −0.184307 + 0.319228i −0.0117035 + 0.0202710i
\(249\) 8.86952 + 27.5012i 0.562083 + 1.74281i
\(250\) 0.866025 0.500000i 0.0547723 0.0316228i
\(251\) −20.9221 −1.32059 −0.660295 0.751006i \(-0.729569\pi\)
−0.660295 + 0.751006i \(0.729569\pi\)
\(252\) 6.92632 3.87635i 0.436317 0.244187i
\(253\) 23.0760 1.45078
\(254\) 4.01361 2.31726i 0.251836 0.145398i
\(255\) −11.8894 2.55424i −0.744546 0.159953i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 29.1778 1.82006 0.910030 0.414541i \(-0.136058\pi\)
0.910030 + 0.414541i \(0.136058\pi\)
\(258\) 8.17466 + 7.39279i 0.508932 + 0.460255i
\(259\) 1.65285 + 3.80434i 0.102703 + 0.236390i
\(260\) 2.81058i 0.174305i
\(261\) 7.51975 16.6937i 0.465461 1.03331i
\(262\) 3.21733 1.85752i 0.198767 0.114758i
\(263\) 0.627322i 0.0386824i −0.999813 0.0193412i \(-0.993843\pi\)
0.999813 0.0193412i \(-0.00615687\pi\)
\(264\) −6.57936 + 7.27520i −0.404931 + 0.447758i
\(265\) 3.02705 1.74767i 0.185950 0.107358i
\(266\) 6.84159 9.24022i 0.419485 0.566554i
\(267\) 0.353129 + 1.09492i 0.0216111 + 0.0670082i
\(268\) 1.36579 + 2.36562i 0.0834291 + 0.144504i
\(269\) 1.72988 + 2.99624i 0.105472 + 0.182684i 0.913931 0.405869i \(-0.133031\pi\)
−0.808459 + 0.588553i \(0.799698\pi\)
\(270\) −5.16403 0.576883i −0.314273 0.0351080i
\(271\) −3.95501 2.28343i −0.240250 0.138708i 0.375042 0.927008i \(-0.377628\pi\)
−0.615292 + 0.788300i \(0.710962\pi\)
\(272\) 3.51050 6.08036i 0.212855 0.368676i
\(273\) 8.51050 + 9.66738i 0.515079 + 0.585096i
\(274\) 10.5319 + 18.2419i 0.636258 + 1.10203i
\(275\) 5.66323i 0.341506i
\(276\) −6.71692 + 2.16630i −0.404311 + 0.130396i
\(277\) 30.6143 1.83943 0.919717 0.392582i \(-0.128418\pi\)
0.919717 + 0.392582i \(0.128418\pi\)
\(278\) 4.51338 7.81740i 0.270694 0.468856i
\(279\) 0.454180 1.00827i 0.0271910 0.0603634i
\(280\) 2.12634 + 1.57438i 0.127073 + 0.0940869i
\(281\) 8.79291 + 5.07659i 0.524541 + 0.302844i 0.738791 0.673935i \(-0.235397\pi\)
−0.214250 + 0.976779i \(0.568731\pi\)
\(282\) 8.55004 2.75751i 0.509147 0.164207i
\(283\) 7.55807 + 4.36365i 0.449280 + 0.259392i 0.707526 0.706687i \(-0.249811\pi\)
−0.258246 + 0.966079i \(0.583144\pi\)
\(284\) 7.84991 + 4.53215i 0.465806 + 0.268933i
\(285\) −7.16344 + 2.31031i −0.424325 + 0.136851i
\(286\) −13.7845 7.95849i −0.815095 0.470595i
\(287\) −7.33900 0.838350i −0.433207 0.0494862i
\(288\) 1.23213 2.73530i 0.0726040 0.161179i
\(289\) −16.1472 + 27.9677i −0.949833 + 1.64516i
\(290\) 6.10305 0.358383
\(291\) 3.20187 1.03265i 0.187697 0.0605350i
\(292\) 16.5972i 0.971275i
\(293\) −8.72722 15.1160i −0.509849 0.883085i −0.999935 0.0114108i \(-0.996368\pi\)
0.490085 0.871674i \(-0.336966\pi\)
\(294\) 12.0811 1.02334i 0.704584 0.0596823i
\(295\) 5.32873 9.22962i 0.310250 0.537369i
\(296\) 1.35771 + 0.783876i 0.0789155 + 0.0455619i
\(297\) 17.4519 23.6935i 1.01266 1.37484i
\(298\) 4.43418 + 7.68022i 0.256865 + 0.444903i
\(299\) −5.72616 9.91800i −0.331152 0.573572i
\(300\) −0.531646 1.64844i −0.0306946 0.0951727i
\(301\) 6.70880 + 15.4416i 0.386689 + 0.890036i
\(302\) −11.6874 + 6.74772i −0.672534 + 0.388288i
\(303\) 7.30186 8.07412i 0.419481 0.463846i
\(304\) 4.34559i 0.249237i
\(305\) −12.6860 + 7.32427i −0.726399 + 0.419387i
\(306\) −8.65078 + 19.2045i −0.494532 + 1.09785i
\(307\) 3.26532i 0.186362i −0.995649 0.0931808i \(-0.970297\pi\)
0.995649 0.0931808i \(-0.0297035\pi\)
\(308\) −13.7425 + 5.97063i −0.783052 + 0.340208i
\(309\) −7.19914 6.51057i −0.409545 0.370373i
\(310\) 0.368613 0.0209358
\(311\) 13.2864 23.0127i 0.753403 1.30493i −0.192761 0.981246i \(-0.561744\pi\)
0.946164 0.323687i \(-0.104923\pi\)
\(312\) 4.75948 + 1.02249i 0.269452 + 0.0578872i
\(313\) 4.19978 2.42475i 0.237386 0.137055i −0.376589 0.926380i \(-0.622903\pi\)
0.613975 + 0.789326i \(0.289570\pi\)
\(314\) 3.33216 0.188044
\(315\) −6.82018 4.06020i −0.384273 0.228766i
\(316\) 8.74318 0.491842
\(317\) −19.6462 + 11.3428i −1.10344 + 0.637073i −0.937123 0.348999i \(-0.886522\pi\)
−0.166319 + 0.986072i \(0.553188\pi\)
\(318\) −1.85828 5.76185i −0.104207 0.323108i
\(319\) −17.2815 + 29.9324i −0.967577 + 1.67589i
\(320\) 1.00000 0.0559017
\(321\) −2.63522 + 0.849897i −0.147084 + 0.0474366i
\(322\) −10.7110 1.22354i −0.596902 0.0681854i
\(323\) 30.5103i 1.69764i
\(324\) −2.85558 + 8.53497i −0.158643 + 0.474165i
\(325\) 2.43404 1.40529i 0.135016 0.0779515i
\(326\) 14.0261i 0.776834i
\(327\) 8.92248 + 1.91684i 0.493414 + 0.106002i
\(328\) −2.41787 + 1.39596i −0.133505 + 0.0770790i
\(329\) 13.6342 + 1.55746i 0.751676 + 0.0858656i
\(330\) 9.59019 + 2.06029i 0.527923 + 0.113415i
\(331\) 5.18322 + 8.97760i 0.284895 + 0.493453i 0.972584 0.232553i \(-0.0747078\pi\)
−0.687688 + 0.726006i \(0.741374\pi\)
\(332\) 8.34157 + 14.4480i 0.457803 + 0.792938i
\(333\) −4.28827 1.93168i −0.234996 0.105855i
\(334\) 16.3410 + 9.43447i 0.894138 + 0.516231i
\(335\) 1.36579 2.36562i 0.0746213 0.129248i
\(336\) 3.43963 3.02802i 0.187647 0.165192i
\(337\) 13.0605 + 22.6214i 0.711449 + 1.23227i 0.964313 + 0.264765i \(0.0852942\pi\)
−0.252864 + 0.967502i \(0.581372\pi\)
\(338\) 5.10063i 0.277438i
\(339\) 5.49955 25.5992i 0.298695 1.39036i
\(340\) −7.02099 −0.380767
\(341\) −1.04377 + 1.80786i −0.0565233 + 0.0979013i
\(342\) 1.30625 + 12.9712i 0.0706339 + 0.701400i
\(343\) 17.4525 + 6.19752i 0.942348 + 0.334635i
\(344\) 5.51086 + 3.18170i 0.297126 + 0.171546i
\(345\) 5.23453 + 4.73387i 0.281818 + 0.254863i
\(346\) 7.86975 + 4.54360i 0.423080 + 0.244266i
\(347\) −5.80811 3.35332i −0.311796 0.180015i 0.335934 0.941886i \(-0.390948\pi\)
−0.647730 + 0.761870i \(0.724281\pi\)
\(348\) 2.22029 10.3350i 0.119020 0.554013i
\(349\) −18.6240 10.7526i −0.996920 0.575572i −0.0895843 0.995979i \(-0.528554\pi\)
−0.907335 + 0.420407i \(0.861887\pi\)
\(350\) 0.300277 2.62866i 0.0160505 0.140508i
\(351\) −14.5139 1.62138i −0.774696 0.0865427i
\(352\) −2.83161 + 4.90450i −0.150926 + 0.261411i
\(353\) 7.03656 0.374518 0.187259 0.982311i \(-0.440040\pi\)
0.187259 + 0.982311i \(0.440040\pi\)
\(354\) −13.6910 12.3815i −0.727667 0.658068i
\(355\) 9.06430i 0.481083i
\(356\) 0.332109 + 0.575230i 0.0176017 + 0.0304871i
\(357\) −24.1496 + 21.2597i −1.27813 + 1.12518i
\(358\) −7.02701 + 12.1711i −0.371389 + 0.643265i
\(359\) 5.90962 + 3.41192i 0.311898 + 0.180074i 0.647775 0.761831i \(-0.275699\pi\)
−0.335878 + 0.941906i \(0.609033\pi\)
\(360\) −2.98490 + 0.300592i −0.157318 + 0.0158426i
\(361\) −0.0579356 0.100347i −0.00304924 0.00528144i
\(362\) 1.67270 + 2.89720i 0.0879152 + 0.152274i
\(363\) −24.4810 + 27.0701i −1.28492 + 1.42081i
\(364\) 5.97627 + 4.42491i 0.313241 + 0.231928i
\(365\) 14.3736 8.29858i 0.752346 0.434367i
\(366\) 7.78784 + 24.1472i 0.407077 + 1.26220i
\(367\) 35.3498i 1.84525i 0.385703 + 0.922623i \(0.373959\pi\)
−0.385703 + 0.922623i \(0.626041\pi\)
\(368\) −3.52880 + 2.03736i −0.183952 + 0.106205i
\(369\) 6.79750 4.89360i 0.353864 0.254751i
\(370\) 1.56775i 0.0815036i
\(371\) 1.04957 9.18803i 0.0544909 0.477019i
\(372\) 0.134102 0.624215i 0.00695286 0.0323640i
\(373\) −17.4842 −0.905300 −0.452650 0.891688i \(-0.649521\pi\)
−0.452650 + 0.891688i \(0.649521\pi\)
\(374\) 19.8807 34.4345i 1.02801 1.78056i
\(375\) −1.16177 + 1.28464i −0.0599934 + 0.0663384i
\(376\) 4.49185 2.59337i 0.231650 0.133743i
\(377\) 17.1531 0.883431
\(378\) −9.35678 + 10.0723i −0.481261 + 0.518062i
\(379\) −11.0373 −0.566948 −0.283474 0.958980i \(-0.591487\pi\)
−0.283474 + 0.958980i \(0.591487\pi\)
\(380\) −3.76339 + 2.17279i −0.193058 + 0.111462i
\(381\) −5.38423 + 5.95368i −0.275842 + 0.305016i
\(382\) −3.09361 + 5.35829i −0.158283 + 0.274154i
\(383\) 27.9589 1.42864 0.714318 0.699822i \(-0.246737\pi\)
0.714318 + 0.699822i \(0.246737\pi\)
\(384\) 0.363801 1.69341i 0.0185651 0.0864166i
\(385\) 12.0420 + 8.91605i 0.613716 + 0.454404i
\(386\) 2.08533i 0.106141i
\(387\) −17.4058 7.84053i −0.884786 0.398557i
\(388\) 1.68214 0.971182i 0.0853975 0.0493043i
\(389\) 13.7967i 0.699523i −0.936839 0.349761i \(-0.886263\pi\)
0.936839 0.349761i \(-0.113737\pi\)
\(390\) −1.49423 4.63307i −0.0756635 0.234605i
\(391\) 24.7757 14.3043i 1.25296 0.723398i
\(392\) 6.69533 2.04268i 0.338165 0.103171i
\(393\) −4.31602 + 4.77249i −0.217714 + 0.240740i
\(394\) 12.3599 + 21.4079i 0.622681 + 1.07851i
\(395\) −4.37159 7.57182i −0.219959 0.380979i
\(396\) 6.97784 15.4906i 0.350650 0.778433i
\(397\) −18.2602 10.5425i −0.916453 0.529114i −0.0339514 0.999423i \(-0.510809\pi\)
−0.882502 + 0.470309i \(0.844142\pi\)
\(398\) −3.23321 + 5.60009i −0.162066 + 0.280707i
\(399\) −6.36542 + 18.8692i −0.318670 + 0.944643i
\(400\) −0.500000 0.866025i −0.0250000 0.0433013i
\(401\) 20.6070i 1.02907i −0.857471 0.514533i \(-0.827965\pi\)
0.857471 0.514533i \(-0.172035\pi\)
\(402\) −3.50910 3.17347i −0.175018 0.158278i
\(403\) 1.03602 0.0516077
\(404\) 3.14256 5.44308i 0.156348 0.270803i
\(405\) 8.81929 1.79448i 0.438234 0.0891683i
\(406\) 9.60849 12.9772i 0.476861 0.644047i
\(407\) 7.68904 + 4.43927i 0.381132 + 0.220047i
\(408\) −2.55424 + 11.8894i −0.126454 + 0.588615i
\(409\) −20.1815 11.6518i −0.997909 0.576143i −0.0902803 0.995916i \(-0.528776\pi\)
−0.907629 + 0.419773i \(0.862110\pi\)
\(410\) 2.41787 + 1.39596i 0.119410 + 0.0689416i
\(411\) −27.0595 24.4713i −1.33475 1.20708i
\(412\) −4.85323 2.80201i −0.239101 0.138045i
\(413\) −11.2359 25.8616i −0.552885 1.27257i
\(414\) 9.92073 7.14204i 0.487577 0.351012i
\(415\) 8.34157 14.4480i 0.409472 0.709226i
\(416\) 2.81058 0.137800
\(417\) −3.28394 + 15.2860i −0.160815 + 0.748560i
\(418\) 24.6101i 1.20372i
\(419\) −6.50968 11.2751i −0.318019 0.550824i 0.662056 0.749454i \(-0.269684\pi\)
−0.980075 + 0.198630i \(0.936351\pi\)
\(420\) −4.34216 1.46480i −0.211876 0.0714750i
\(421\) 16.4495 28.4914i 0.801701 1.38859i −0.116795 0.993156i \(-0.537262\pi\)
0.918496 0.395431i \(-0.129405\pi\)
\(422\) −1.05142 0.607035i −0.0511821 0.0295500i
\(423\) −12.6282 + 9.09118i −0.614004 + 0.442028i
\(424\) −1.74767 3.02705i −0.0848742 0.147006i
\(425\) 3.51050 + 6.08036i 0.170284 + 0.294941i
\(426\) −15.3496 3.29760i −0.743691 0.159769i
\(427\) −4.39862 + 38.5060i −0.212864 + 1.86344i
\(428\) −1.38444 + 0.799307i −0.0669195 + 0.0386360i
\(429\) 26.9540 + 5.79061i 1.30135 + 0.279573i
\(430\) 6.36340i 0.306870i
\(431\) 22.8306 13.1813i 1.09971 0.634919i 0.163567 0.986532i \(-0.447700\pi\)
0.936146 + 0.351613i \(0.114367\pi\)
\(432\) −0.576883 + 5.16403i −0.0277553 + 0.248455i
\(433\) 29.2742i 1.40683i −0.710780 0.703415i \(-0.751658\pi\)
0.710780 0.703415i \(-0.248342\pi\)
\(434\) 0.580336 0.783799i 0.0278570 0.0376235i
\(435\) −10.0605 + 3.24466i −0.482364 + 0.155570i
\(436\) 5.26893 0.252336
\(437\) 8.85351 15.3347i 0.423521 0.733560i
\(438\) −8.82381 27.3594i −0.421618 1.30728i
\(439\) −11.0785 + 6.39616i −0.528747 + 0.305272i −0.740506 0.672050i \(-0.765414\pi\)
0.211759 + 0.977322i \(0.432081\pi\)
\(440\) 5.66323 0.269984
\(441\) −19.3709 + 8.10977i −0.922424 + 0.386180i
\(442\) −19.7331 −0.938606
\(443\) 19.0694 11.0097i 0.906014 0.523087i 0.0268674 0.999639i \(-0.491447\pi\)
0.879146 + 0.476552i \(0.158113\pi\)
\(444\) −2.65485 0.570350i −0.125994 0.0270676i
\(445\) 0.332109 0.575230i 0.0157435 0.0272685i
\(446\) −2.06719 −0.0978845
\(447\) −11.3926 10.3030i −0.538853 0.487313i
\(448\) 1.57438 2.12634i 0.0743823 0.100460i
\(449\) 15.8715i 0.749025i −0.927222 0.374512i \(-0.877810\pi\)
0.927222 0.374512i \(-0.122190\pi\)
\(450\) 1.75277 + 2.43471i 0.0826265 + 0.114773i
\(451\) −13.6930 + 7.90564i −0.644777 + 0.372262i
\(452\) 15.1169i 0.711040i
\(453\) 15.6786 17.3368i 0.736643 0.814552i
\(454\) 16.9379 9.77912i 0.794936 0.458957i
\(455\) 0.843953 7.38805i 0.0395651 0.346357i
\(456\) 2.31031 + 7.16344i 0.108190 + 0.335459i
\(457\) 10.6090 + 18.3754i 0.496270 + 0.859565i 0.999991 0.00430150i \(-0.00136921\pi\)
−0.503721 + 0.863867i \(0.668036\pi\)
\(458\) 6.66427 + 11.5429i 0.311401 + 0.539363i
\(459\) 4.05029 36.2566i 0.189051 1.69231i
\(460\) 3.52880 + 2.03736i 0.164531 + 0.0949922i
\(461\) −13.3910 + 23.1938i −0.623679 + 1.08024i 0.365115 + 0.930962i \(0.381030\pi\)
−0.988795 + 0.149282i \(0.952304\pi\)
\(462\) 19.4794 17.1484i 0.906266 0.797815i
\(463\) 7.79895 + 13.5082i 0.362448 + 0.627778i 0.988363 0.152113i \(-0.0486077\pi\)
−0.625915 + 0.779891i \(0.715274\pi\)
\(464\) 6.10305i 0.283327i
\(465\) −0.607637 + 0.195972i −0.0281785 + 0.00908797i
\(466\) 17.7879 0.824007
\(467\) −11.6318 + 20.1469i −0.538256 + 0.932288i 0.460742 + 0.887534i \(0.347583\pi\)
−0.998998 + 0.0447533i \(0.985750\pi\)
\(468\) −8.38931 + 0.844840i −0.387796 + 0.0390527i
\(469\) −2.87986 6.62853i −0.132980 0.306077i
\(470\) −4.49185 2.59337i −0.207194 0.119623i
\(471\) −5.49286 + 1.77153i −0.253097 + 0.0816276i
\(472\) −9.22962 5.32873i −0.424828 0.245274i
\(473\) 31.2093 + 18.0187i 1.43500 + 0.828500i
\(474\) −14.4126 + 4.64828i −0.661993 + 0.213502i
\(475\) 3.76339 + 2.17279i 0.172676 + 0.0996946i
\(476\) −11.0537 + 14.9290i −0.506644 + 0.684272i
\(477\) 6.12652 + 8.51011i 0.280514 + 0.389651i
\(478\) 1.96383 3.40145i 0.0898233 0.155579i
\(479\) −18.9385 −0.865320 −0.432660 0.901557i \(-0.642425\pi\)
−0.432660 + 0.901557i \(0.642425\pi\)
\(480\) −1.64844 + 0.531646i −0.0752406 + 0.0242662i
\(481\) 4.40630i 0.200910i
\(482\) 5.57242 + 9.65172i 0.253817 + 0.439624i
\(483\) 18.3070 3.67753i 0.832995 0.167334i
\(484\) −10.5361 + 18.2490i −0.478913 + 0.829502i
\(485\) −1.68214 0.971182i −0.0763819 0.0440991i
\(486\) 0.169672 15.5875i 0.00769646 0.707065i
\(487\) 14.3962 + 24.9350i 0.652355 + 1.12991i 0.982550 + 0.185999i \(0.0595521\pi\)
−0.330195 + 0.943913i \(0.607115\pi\)
\(488\) 7.32427 + 12.6860i 0.331554 + 0.574269i
\(489\) −7.45692 23.1212i −0.337213 1.04558i
\(490\) −5.11668 4.77698i −0.231148 0.215802i
\(491\) −2.36612 + 1.36608i −0.106782 + 0.0616504i −0.552440 0.833553i \(-0.686303\pi\)
0.445658 + 0.895203i \(0.352970\pi\)
\(492\) 3.24356 3.58661i 0.146231 0.161697i
\(493\) 42.8494i 1.92984i
\(494\) −10.5773 + 6.10681i −0.475896 + 0.274759i
\(495\) −16.9042 + 1.70232i −0.759787 + 0.0765138i
\(496\) 0.368613i 0.0165512i
\(497\) −19.2738 14.2706i −0.864549 0.640124i
\(498\) −21.4318 19.3819i −0.960382 0.868525i
\(499\) 24.1713 1.08205 0.541027 0.841005i \(-0.318036\pi\)
0.541027 + 0.841005i \(0.318036\pi\)
\(500\) −0.500000 + 0.866025i −0.0223607 + 0.0387298i
\(501\) −31.9529 6.86454i −1.42755 0.306685i
\(502\) 18.1191 10.4610i 0.808693 0.466899i
\(503\) −14.6533 −0.653358 −0.326679 0.945135i \(-0.605930\pi\)
−0.326679 + 0.945135i \(0.605930\pi\)
\(504\) −4.06020 + 6.82018i −0.180855 + 0.303795i
\(505\) −6.28513 −0.279684
\(506\) −19.9844 + 11.5380i −0.888416 + 0.512927i
\(507\) 2.71173 + 8.40808i 0.120432 + 0.373416i
\(508\) −2.31726 + 4.01361i −0.102812 + 0.178075i
\(509\) −38.5161 −1.70720 −0.853598 0.520932i \(-0.825585\pi\)
−0.853598 + 0.520932i \(0.825585\pi\)
\(510\) 11.5737 3.73268i 0.512491 0.165286i
\(511\) 4.98374 43.6282i 0.220468 1.93000i
\(512\) 1.00000i 0.0441942i
\(513\) −9.04934 20.6877i −0.399538 0.913384i
\(514\) −25.2687 + 14.5889i −1.11456 + 0.643489i
\(515\) 5.60402i 0.246943i
\(516\) −10.7759 2.31501i −0.474381 0.101913i
\(517\) 25.4384 14.6869i 1.11878 0.645928i
\(518\) −3.33358 2.46823i −0.146469 0.108448i
\(519\) −15.3884 3.30593i −0.675476 0.145114i
\(520\) −1.40529 2.43404i −0.0616261 0.106740i
\(521\) 12.7686 + 22.1158i 0.559401 + 0.968911i 0.997547 + 0.0700066i \(0.0223020\pi\)
−0.438146 + 0.898904i \(0.644365\pi\)
\(522\) 1.83453 + 18.2170i 0.0802952 + 0.797337i
\(523\) −10.7847 6.22654i −0.471581 0.272268i 0.245320 0.969442i \(-0.421107\pi\)
−0.716901 + 0.697175i \(0.754440\pi\)
\(524\) −1.85752 + 3.21733i −0.0811463 + 0.140550i
\(525\) 0.902526 + 4.49282i 0.0393895 + 0.196083i
\(526\) 0.313661 + 0.543277i 0.0136763 + 0.0236880i
\(527\) 2.58803i 0.112736i
\(528\) 2.06029 9.59019i 0.0896625 0.417359i
\(529\) 6.39672 0.278118
\(530\) −1.74767 + 3.02705i −0.0759138 + 0.131487i
\(531\) 29.1513 + 13.1314i 1.26506 + 0.569853i
\(532\) −1.30488 + 11.4231i −0.0565737 + 0.495252i
\(533\) 6.79563 + 3.92346i 0.294352 + 0.169944i
\(534\) −0.853280 0.771667i −0.0369250 0.0333933i
\(535\) 1.38444 + 0.799307i 0.0598546 + 0.0345571i
\(536\) −2.36562 1.36579i −0.102179 0.0589933i
\(537\) 5.11287 23.7993i 0.220637 1.02701i
\(538\) −2.99624 1.72988i −0.129177 0.0745803i
\(539\) 37.9172 11.5682i 1.63321 0.498277i
\(540\) 4.76062 2.08242i 0.204865 0.0896131i
\(541\) 8.36504 14.4887i 0.359641 0.622916i −0.628260 0.778004i \(-0.716232\pi\)
0.987901 + 0.155087i \(0.0495658\pi\)
\(542\) 4.56686 0.196163
\(543\) −4.29763 3.88658i −0.184429 0.166789i
\(544\) 7.02099i 0.301022i
\(545\) −2.63446 4.56303i −0.112848 0.195459i
\(546\) −12.2040 4.11694i −0.522283 0.176189i
\(547\) 16.1409 27.9569i 0.690137 1.19535i −0.281656 0.959515i \(-0.590884\pi\)
0.971793 0.235836i \(-0.0757829\pi\)
\(548\) −18.2419 10.5319i −0.779253 0.449902i
\(549\) −25.6756 35.6649i −1.09581 1.52214i
\(550\) −2.83161 4.90450i −0.120740 0.209129i
\(551\) 13.2607 + 22.9681i 0.564923 + 0.978476i
\(552\) 4.73387 5.23453i 0.201487 0.222797i
\(553\) −22.9828 2.62538i −0.977329 0.111642i
\(554\) −26.5128 + 15.3071i −1.12642 + 0.650338i
\(555\) 0.833489 + 2.58435i 0.0353796 + 0.109699i
\(556\) 9.02675i 0.382820i
\(557\) 26.6920 15.4106i 1.13097 0.652969i 0.186795 0.982399i \(-0.440190\pi\)
0.944180 + 0.329430i \(0.106857\pi\)
\(558\) 0.110802 + 1.10027i 0.00469064 + 0.0465783i
\(559\) 17.8848i 0.756448i
\(560\) −2.62866 0.300277i −0.111081 0.0126890i
\(561\) −14.4653 + 67.3326i −0.610724 + 2.84279i
\(562\) −10.1532 −0.428286
\(563\) −20.5084 + 35.5216i −0.864325 + 1.49705i 0.00339066 + 0.999994i \(0.498921\pi\)
−0.867716 + 0.497061i \(0.834413\pi\)
\(564\) −6.02579 + 6.66309i −0.253732 + 0.280567i
\(565\) −13.0916 + 7.55846i −0.550769 + 0.317987i
\(566\) −8.72730 −0.366836
\(567\) 10.0692 21.5780i 0.422866 0.906192i
\(568\) −9.06430 −0.380329
\(569\) 14.1078 8.14517i 0.591432 0.341463i −0.174232 0.984705i \(-0.555744\pi\)
0.765663 + 0.643241i \(0.222411\pi\)
\(570\) 5.04856 5.58251i 0.211461 0.233826i
\(571\) −5.84580 + 10.1252i −0.244639 + 0.423727i −0.962030 0.272944i \(-0.912003\pi\)
0.717391 + 0.696671i \(0.245336\pi\)
\(572\) 15.9170 0.665522
\(573\) 2.25092 10.4775i 0.0940334 0.437705i
\(574\) 6.77494 2.94347i 0.282780 0.122858i
\(575\) 4.07471i 0.169927i
\(576\) 0.300592 + 2.98490i 0.0125247 + 0.124371i
\(577\) 30.4481 17.5792i 1.26757 0.731833i 0.293044 0.956099i \(-0.405332\pi\)
0.974528 + 0.224266i \(0.0719984\pi\)
\(578\) 32.2943i 1.34327i
\(579\) 1.10866 + 3.43754i 0.0460743 + 0.142859i
\(580\) −5.28540 + 3.05152i −0.219464 + 0.126708i
\(581\) −17.5887 40.4837i −0.729703 1.67955i
\(582\) −2.25657 + 2.49523i −0.0935380 + 0.103431i
\(583\) −9.89744 17.1429i −0.409910 0.709985i
\(584\) −8.29858 14.3736i −0.343398 0.594782i
\(585\) 4.92631 + 6.84294i 0.203678 + 0.282921i
\(586\) 15.1160 + 8.72722i 0.624436 + 0.360518i
\(587\) −3.93572 + 6.81686i −0.162444 + 0.281362i −0.935745 0.352678i \(-0.885271\pi\)
0.773300 + 0.634040i \(0.218605\pi\)
\(588\) −9.95086 + 6.92678i −0.410367 + 0.285656i
\(589\) 0.800920 + 1.38723i 0.0330014 + 0.0571600i
\(590\) 10.6575i 0.438760i
\(591\) −31.7559 28.7186i −1.30626 1.18132i
\(592\) −1.56775 −0.0644342
\(593\) −3.43635 + 5.95193i −0.141114 + 0.244416i −0.927916 0.372788i \(-0.878402\pi\)
0.786802 + 0.617205i \(0.211735\pi\)
\(594\) −3.26702 + 29.2451i −0.134048 + 1.19994i
\(595\) 18.4558 + 2.10824i 0.756613 + 0.0864295i
\(596\) −7.68022 4.43418i −0.314594 0.181631i
\(597\) 2.35249 10.9503i 0.0962811 0.448167i
\(598\) 9.91800 + 5.72616i 0.405577 + 0.234160i
\(599\) −28.1842 16.2722i −1.15157 0.664862i −0.202304 0.979323i \(-0.564843\pi\)
−0.949271 + 0.314461i \(0.898176\pi\)
\(600\) 1.28464 + 1.16177i 0.0524451 + 0.0474290i
\(601\) 28.7087 + 16.5750i 1.17105 + 0.676107i 0.953927 0.300038i \(-0.0969992\pi\)
0.217124 + 0.976144i \(0.430333\pi\)
\(602\) −13.5308 10.0184i −0.551473 0.408318i
\(603\) 7.47171 + 3.36567i 0.304271 + 0.137061i
\(604\) 6.74772 11.6874i 0.274561 0.475553i
\(605\) 21.0722 0.856705
\(606\) −2.28653 + 10.6433i −0.0928841 + 0.432355i
\(607\) 26.2617i 1.06593i 0.846138 + 0.532964i \(0.178922\pi\)
−0.846138 + 0.532964i \(0.821078\pi\)
\(608\) 2.17279 + 3.76339i 0.0881184 + 0.152626i
\(609\) −8.93975 + 26.5004i −0.362257 + 1.07385i
\(610\) 7.32427 12.6860i 0.296551 0.513642i
\(611\) −12.6247 7.28889i −0.510742 0.294877i
\(612\) −2.11046 20.9570i −0.0853101 0.847135i
\(613\) 9.71301 + 16.8234i 0.392305 + 0.679492i 0.992753 0.120172i \(-0.0383445\pi\)
−0.600448 + 0.799664i \(0.705011\pi\)
\(614\) 1.63266 + 2.82785i 0.0658888 + 0.114123i
\(615\) −4.72788 1.01570i −0.190646 0.0409571i
\(616\) 8.91605 12.0420i 0.359238 0.485185i
\(617\) 15.6130 9.01417i 0.628556 0.362897i −0.151637 0.988436i \(-0.548454\pi\)
0.780192 + 0.625540i \(0.215121\pi\)
\(618\) 9.48993 + 2.03875i 0.381741 + 0.0820105i
\(619\) 15.9835i 0.642432i −0.947006 0.321216i \(-0.895908\pi\)
0.947006 0.321216i \(-0.104092\pi\)
\(620\) −0.319228 + 0.184307i −0.0128205 + 0.00740193i
\(621\) −12.5567 + 17.0475i −0.503882 + 0.684094i
\(622\) 26.5728i 1.06547i
\(623\) −0.700272 1.61181i −0.0280558 0.0645757i
\(624\) −4.63307 + 1.49423i −0.185471 + 0.0598172i
\(625\) 1.00000 0.0400000
\(626\) −2.42475 + 4.19978i −0.0969123 + 0.167857i
\(627\) 13.0838 + 40.5682i 0.522518 + 1.62014i
\(628\) −2.88573 + 1.66608i −0.115153 + 0.0664837i
\(629\) 11.0072 0.438885
\(630\) 7.93654 + 0.106144i 0.316199 + 0.00422886i
\(631\) −43.0538 −1.71395 −0.856973 0.515362i \(-0.827657\pi\)
−0.856973 + 0.515362i \(0.827657\pi\)
\(632\) −7.57182 + 4.37159i −0.301191 + 0.173893i
\(633\) 2.05592 + 0.441680i 0.0817155 + 0.0175552i
\(634\) 11.3428 19.6462i 0.450478 0.780251i
\(635\) 4.63451 0.183915
\(636\) 4.49024 + 4.06076i 0.178050 + 0.161020i
\(637\) −14.3808 13.4261i −0.569790 0.531962i
\(638\) 34.5630i 1.36836i
\(639\) 27.0560 2.72466i 1.07032 0.107786i
\(640\) −0.866025 + 0.500000i −0.0342327 + 0.0197642i
\(641\) 8.31902i 0.328582i 0.986412 + 0.164291i \(0.0525335\pi\)
−0.986412 + 0.164291i \(0.947466\pi\)
\(642\) 1.85722 2.05364i 0.0732986 0.0810508i
\(643\) 11.2945 6.52086i 0.445410 0.257158i −0.260480 0.965479i \(-0.583881\pi\)
0.705890 + 0.708322i \(0.250547\pi\)
\(644\) 9.88779 4.29589i 0.389633 0.169282i
\(645\) 3.38307 + 10.4897i 0.133208 + 0.413030i
\(646\) −15.2552 26.4227i −0.600206 1.03959i
\(647\) −3.58732 6.21343i −0.141032 0.244275i 0.786853 0.617140i \(-0.211709\pi\)
−0.927886 + 0.372865i \(0.878375\pi\)
\(648\) −1.79448 8.81929i −0.0704938 0.346454i
\(649\) −52.2695 30.1778i −2.05176 1.18458i
\(650\) −1.40529 + 2.43404i −0.0551200 + 0.0954707i
\(651\) −0.539945 + 1.60058i −0.0211621 + 0.0627316i
\(652\) −7.01305 12.1470i −0.274652 0.475711i
\(653\) 21.2930i 0.833261i 0.909076 + 0.416631i \(0.136789\pi\)
−0.909076 + 0.416631i \(0.863211\pi\)
\(654\) −8.68551 + 2.80120i −0.339630 + 0.109536i
\(655\) 3.71505 0.145159
\(656\) 1.39596 2.41787i 0.0545031 0.0944021i
\(657\) 29.0910 + 40.4092i 1.13495 + 1.57651i
\(658\) −12.5863 + 5.46829i −0.490664 + 0.213176i
\(659\) 7.91663 + 4.57067i 0.308388 + 0.178048i 0.646205 0.763164i \(-0.276355\pi\)
−0.337817 + 0.941212i \(0.609688\pi\)
\(660\) −9.33549 + 3.01083i −0.363383 + 0.117196i
\(661\) −18.5903 10.7331i −0.723078 0.417469i 0.0928066 0.995684i \(-0.470416\pi\)
−0.815884 + 0.578215i \(0.803749\pi\)
\(662\) −8.97760 5.18322i −0.348924 0.201451i
\(663\) 32.5288 10.4910i 1.26331 0.407437i
\(664\) −14.4480 8.34157i −0.560692 0.323716i
\(665\) 10.5451 4.58147i 0.408921 0.177662i
\(666\) 4.67959 0.471255i 0.181330 0.0182607i
\(667\) 12.4341 21.5365i 0.481450 0.833895i
\(668\) −18.8689 −0.730061
\(669\) 3.40765 1.09902i 0.131747 0.0424904i
\(670\) 2.73159i 0.105530i
\(671\) 41.4790 + 71.8438i 1.60128 + 2.77350i
\(672\) −1.46480 + 4.34216i −0.0565059 + 0.167502i
\(673\) −17.7533 + 30.7497i −0.684341 + 1.18531i 0.289302 + 0.957238i \(0.406577\pi\)
−0.973643 + 0.228076i \(0.926757\pi\)
\(674\) −22.6214 13.0605i −0.871344 0.503071i
\(675\) −4.18374 3.08161i −0.161032 0.118611i
\(676\) 2.55031 + 4.41727i 0.0980890 + 0.169895i
\(677\) −6.78337 11.7491i −0.260706 0.451556i 0.705724 0.708487i \(-0.250622\pi\)
−0.966430 + 0.256931i \(0.917289\pi\)
\(678\) 8.03685 + 24.9193i 0.308653 + 0.957021i
\(679\) −4.71338 + 2.04780i −0.180883 + 0.0785872i
\(680\) 6.08036 3.51050i 0.233171 0.134621i
\(681\) −22.7221 + 25.1253i −0.870714 + 0.962802i
\(682\) 2.08754i 0.0799361i
\(683\) 17.5340 10.1233i 0.670922 0.387357i −0.125504 0.992093i \(-0.540055\pi\)
0.796426 + 0.604736i \(0.206721\pi\)
\(684\) −7.61682 10.5802i −0.291237 0.404545i
\(685\) 21.0639i 0.804809i
\(686\) −18.2131 + 3.35906i −0.695379 + 0.128249i
\(687\) −17.1224 15.4847i −0.653259 0.590777i
\(688\) −6.36340 −0.242602
\(689\) −4.91196 + 8.50776i −0.187131 + 0.324120i
\(690\) −6.90017 1.48238i −0.262685 0.0564334i
\(691\) 25.4972 14.7208i 0.969958 0.560006i 0.0707348 0.997495i \(-0.477466\pi\)
0.899224 + 0.437489i \(0.144132\pi\)
\(692\) −9.08721 −0.345444
\(693\) −22.9938 + 38.6242i −0.873463 + 1.46721i
\(694\) 6.70663 0.254580
\(695\) 7.81740 4.51338i 0.296531 0.171202i
\(696\) 3.24466 + 10.0605i 0.122989 + 0.381343i
\(697\) −9.80102 + 16.9759i −0.371240 + 0.643007i
\(698\) 21.5051 0.813982
\(699\) −29.3222 + 9.45685i −1.10907 + 0.357691i
\(700\) 1.05428 + 2.42662i 0.0398481 + 0.0917177i
\(701\) 41.6152i 1.57178i 0.618364 + 0.785892i \(0.287796\pi\)
−0.618364 + 0.785892i \(0.712204\pi\)
\(702\) 13.3801 5.85281i 0.505000 0.220900i
\(703\) 5.90006 3.40640i 0.222525 0.128475i
\(704\) 5.66323i 0.213441i
\(705\) 8.78330 + 1.88694i 0.330798 + 0.0710664i
\(706\) −6.09384 + 3.51828i −0.229345 + 0.132412i
\(707\) −9.89515 + 13.3643i −0.372145 + 0.502618i
\(708\) 18.0475 + 3.87719i 0.678266 + 0.145714i
\(709\) −11.1912 19.3838i −0.420296 0.727973i 0.575673 0.817680i \(-0.304740\pi\)
−0.995968 + 0.0897069i \(0.971407\pi\)
\(710\) 4.53215 + 7.84991i 0.170088 + 0.294602i
\(711\) 21.2871 15.3248i 0.798327 0.574725i
\(712\) −0.575230 0.332109i −0.0215576 0.0124463i
\(713\) 0.750996 1.30076i 0.0281250 0.0487140i
\(714\) 10.2844 30.4863i 0.384882 1.14092i
\(715\) −7.95849 13.7845i −0.297630 0.515511i
\(716\) 14.0540i 0.525224i
\(717\) −1.42888 + 6.65114i −0.0533626 + 0.248391i
\(718\) −6.82384 −0.254664
\(719\) −13.3750 + 23.1661i −0.498802 + 0.863951i −0.999999 0.00138257i \(-0.999560\pi\)
0.501197 + 0.865333i \(0.332893\pi\)
\(720\) 2.43471 1.75277i 0.0907361 0.0653220i
\(721\) 11.9161 + 8.82284i 0.443778 + 0.328580i
\(722\) 0.100347 + 0.0579356i 0.00373454 + 0.00215614i
\(723\) −14.3171 12.9477i −0.532459 0.481531i
\(724\) −2.89720 1.67270i −0.107674 0.0621655i
\(725\) 5.28540 + 3.05152i 0.196295 + 0.113331i
\(726\) 7.66607 35.6839i 0.284515 1.32435i
\(727\) −9.55141 5.51451i −0.354242 0.204522i 0.312310 0.949980i \(-0.398897\pi\)
−0.666552 + 0.745458i \(0.732231\pi\)
\(728\) −7.38805 0.843953i −0.273820 0.0312790i
\(729\) 8.00735 + 25.7853i 0.296569 + 0.955012i
\(730\) −8.29858 + 14.3736i −0.307144 + 0.531989i
\(731\) 44.6773 1.65245
\(732\) −18.8181 17.0182i −0.695536 0.629011i
\(733\) 4.89952i 0.180968i 0.995898 + 0.0904839i \(0.0288414\pi\)
−0.995898 + 0.0904839i \(0.971159\pi\)
\(734\) −17.6749 30.6139i −0.652393 1.12998i
\(735\) 10.9742 + 5.15431i 0.404790 + 0.190120i
\(736\) 2.03736 3.52880i 0.0750980 0.130073i
\(737\) −13.3971 7.73481i −0.493488 0.284915i
\(738\) −3.44001 + 7.63673i −0.126629 + 0.281112i
\(739\) −5.60509 9.70830i −0.206187 0.357126i 0.744324 0.667819i \(-0.232772\pi\)
−0.950510 + 0.310693i \(0.899439\pi\)
\(740\) 0.783876 + 1.35771i 0.0288159 + 0.0499105i
\(741\) 14.1894 15.6901i 0.521261 0.576390i
\(742\) 3.68506 + 8.48185i 0.135283 + 0.311379i
\(743\) −33.4349 + 19.3036i −1.22661 + 0.708182i −0.966318 0.257349i \(-0.917151\pi\)
−0.260288 + 0.965531i \(0.583818\pi\)
\(744\) 0.195972 + 0.607637i 0.00718467 + 0.0222770i
\(745\) 8.86835i 0.324911i
\(746\) 15.1418 8.74212i 0.554381 0.320072i
\(747\) 45.6334 + 20.5558i 1.66964 + 0.752098i
\(748\) 39.7615i 1.45382i
\(749\) 3.87923 1.68539i 0.141744 0.0615828i
\(750\) 0.363801 1.69341i 0.0132841 0.0618347i
\(751\) 39.0281 1.42416 0.712078 0.702100i \(-0.247754\pi\)
0.712078 + 0.702100i \(0.247754\pi\)
\(752\) −2.59337 + 4.49185i −0.0945706 + 0.163801i
\(753\) −24.3066 + 26.8773i −0.885782 + 0.979464i
\(754\) −14.8550 + 8.57656i −0.540989 + 0.312340i
\(755\) −13.4954 −0.491149
\(756\) 3.06707 13.4012i 0.111548 0.487398i
\(757\) −51.3343 −1.86578 −0.932889 0.360163i \(-0.882721\pi\)
−0.932889 + 0.360163i \(0.882721\pi\)
\(758\) 9.55858 5.51865i 0.347183 0.200446i
\(759\) 26.8090 29.6444i 0.973105 1.07602i
\(760\) 2.17279 3.76339i 0.0788155 0.136512i
\(761\) 3.20178 0.116064 0.0580321 0.998315i \(-0.481517\pi\)
0.0580321 + 0.998315i \(0.481517\pi\)
\(762\) 1.68604 7.84815i 0.0610788 0.284308i
\(763\) −13.8502 1.58214i −0.501411 0.0572773i
\(764\) 6.18722i 0.223846i
\(765\) −17.0940 + 12.3062i −0.618036 + 0.444931i
\(766\) −24.2132 + 13.9795i