Properties

Label 630.2.t.b.311.5
Level 630
Weight 2
Character 630.311
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 311.5
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.5

$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

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

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 \(-0.674314\pi\)
0.520660 0.853764i \(-0.325686\pi\)
\(12\) −0.531646 + 1.64844i −0.153473 + 0.475863i
\(13\) 2.43404 + 1.40529i 0.675080 + 0.389758i 0.797999 0.602659i \(-0.205892\pi\)
−0.122919 + 0.992417i \(0.539225\pi\)
\(14\) 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 −0.0285066 0.999594i \(-0.509075\pi\)
0.879927 0.475109i \(-0.157591\pi\)
\(18\) 1.75277 2.43471i 0.413132 0.573866i
\(19\) 3.76339 2.17279i 0.863381 0.498473i −0.00176228 0.999998i \(-0.500561\pi\)
0.865143 + 0.501525i \(0.167228\pi\)
\(20\) −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 \(0.139662\pi\)
−0.905279 + 0.424818i \(0.860338\pi\)
\(24\) 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 0.0787587 0.996894i \(-0.474904\pi\)
0.902715 + 0.430240i \(0.141571\pi\)
\(30\) 0.363801 + 1.69341i 0.0664207 + 0.309174i
\(31\) 0.319228 0.184307i 0.0573351 0.0331024i −0.471058 0.882102i \(-0.656128\pi\)
0.528394 + 0.849000i \(0.322795\pi\)
\(32\) 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 0.923238 0.384227i \(-0.125532\pi\)
−0.794370 + 0.607434i \(0.792199\pi\)
\(38\) −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 −0.736188 0.676777i \(-0.763376\pi\)
0.954200 + 0.299169i \(0.0967093\pi\)
\(42\) −3.02802 + 3.43963i −0.467234 + 0.530747i
\(43\) 3.18170 + 5.51086i 0.485204 + 0.840399i 0.999855 0.0170011i \(-0.00541188\pi\)
−0.514651 + 0.857400i \(0.672079\pi\)
\(44\) 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 −0.990812 0.135243i \(-0.956818\pi\)
0.612530 + 0.790447i \(0.290152\pi\)
\(48\) −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 0.277481 0.960731i \(-0.410501\pi\)
−0.693277 + 0.720671i \(0.743834\pi\)
\(54\) 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 −0.970603 0.240685i \(-0.922628\pi\)
0.276862 0.960910i \(-0.410705\pi\)
\(60\) 0.531646 1.64844i 0.0686352 0.212813i
\(61\) 12.6860 + 7.32427i 1.62428 + 0.937777i 0.985758 + 0.168171i \(0.0537861\pi\)
0.638519 + 0.769606i \(0.279547\pi\)
\(62\) −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 0.770455 0.637494i \(-0.220029\pi\)
−0.937314 + 0.348487i \(0.886696\pi\)
\(68\) 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 \(-0.819230\pi\)
0.843030 0.537867i \(-0.180770\pi\)
\(72\) 2.98490 + 0.300592i 0.351774 + 0.0354252i
\(73\) −14.3736 8.29858i −1.68230 0.971275i −0.960129 0.279559i \(-0.909812\pi\)
−0.722169 0.691716i \(-0.756855\pi\)
\(74\) 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 −0.508114 0.861290i \(-0.669657\pi\)
0.999956 + 0.00939423i \(0.00299032\pi\)
\(80\) 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 −0.806011 0.591901i \(-0.798378\pi\)
−0.109595 0.993976i \(-0.534956\pi\)
\(84\) 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 0.847887 0.530177i \(-0.177875\pi\)
−0.883090 + 0.469203i \(0.844541\pi\)
\(90\) −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 −0.412166 0.911109i \(-0.635227\pi\)
0.582961 + 0.812500i \(0.301894\pi\)
\(98\) 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 \(0.0890389\pi\)
−0.961132 + 0.276090i \(0.910961\pi\)
\(104\) 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 −0.565425 0.824800i \(-0.691288\pi\)
0.431586 + 0.902072i \(0.357954\pi\)
\(108\) −4.76062 2.08242i −0.458091 0.200381i
\(109\) 2.63446 4.56303i 0.252336 0.437059i −0.711833 0.702349i \(-0.752135\pi\)
0.964169 + 0.265290i \(0.0854679\pi\)
\(110\) 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 0.967355 0.253427i \(-0.0815576\pi\)
0.264203 + 0.964467i \(0.414891\pi\)
\(114\) −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 \(0.356291\pi\)
−0.436294 + 0.899804i \(0.643709\pi\)
\(138\) 6.90017 1.48238i 0.587382 0.126189i
\(139\) −7.81740 4.51338i −0.663063 0.382820i 0.130380 0.991464i \(-0.458380\pi\)
−0.793443 + 0.608645i \(0.791714\pi\)
\(140\) −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 \(0.118337\pi\)
−0.931687 + 0.363262i \(0.881663\pi\)
\(150\) −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 −0.610713 0.791852i \(-0.709117\pi\)
0.380407 + 0.924819i \(0.375784\pi\)
\(158\) −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 0.998322 + 0.0579002i \(0.0184405\pi\)
−0.449018 + 0.893523i \(0.648226\pi\)
\(164\) 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 0.226796 + 0.973942i \(0.427175\pi\)
−0.956857 + 0.290560i \(0.906158\pi\)
\(168\) −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 −0.985434 0.170057i \(-0.945605\pi\)
0.639991 + 0.768383i \(0.278938\pi\)
\(174\) −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 0.880339 0.474345i \(-0.157315\pi\)
0.0293749 + 0.999568i \(0.490648\pi\)
\(180\) 2.73530 1.23213i 0.203877 0.0918376i
\(181\) 3.34540i 0.248662i 0.992241 + 0.124331i \(0.0396784\pi\)
−0.992241 + 0.124331i \(0.960322\pi\)
\(182\) −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 0.681169 0.732127i \(-0.261472\pi\)
−0.293456 + 0.955973i \(0.594805\pi\)
\(192\) −1.16177 1.28464i −0.0838433 0.0927108i
\(193\) −1.04267 1.80595i −0.0750528 0.129995i 0.826056 0.563587i \(-0.190579\pi\)
−0.901109 + 0.433592i \(0.857246\pi\)
\(194\) −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 \(0.342863\pi\)
−0.473853 + 0.880604i \(0.657137\pi\)
\(198\) −13.7883 9.92635i −0.979891 0.705435i
\(199\) 5.60009 + 3.23321i 0.396980 + 0.229196i 0.685180 0.728374i \(-0.259724\pi\)
−0.288200 + 0.957570i \(0.593057\pi\)
\(200\) 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 −0.844374 0.535754i \(-0.820027\pi\)
0.886164 + 0.463372i \(0.153361\pi\)
\(212\) 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 −0.438859 0.898556i \(-0.644617\pi\)
0.558743 + 0.829341i \(0.311284\pi\)
\(224\) −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 \(0.145159\pi\)
−0.897808 + 0.440388i \(0.854841\pi\)
\(230\) −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 −0.910957 0.412502i \(-0.864655\pi\)
−0.0982415 + 0.995163i \(0.531322\pi\)
\(234\) 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 0.385939 0.922524i \(-0.373878\pi\)
−0.605960 + 0.795495i \(0.707211\pi\)
\(240\) 1.69341 0.363801i 0.109309 0.0234832i
\(241\) 11.1448i 0.717903i 0.933356 + 0.358951i \(0.116866\pi\)
−0.933356 + 0.358951i \(0.883134\pi\)
\(242\) 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 \(0.00615687\pi\)
−0.999813 + 0.0193412i \(0.993843\pi\)
\(264\) −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 −0.808459 0.588553i \(-0.799698\pi\)
0.913931 + 0.405869i \(0.133031\pi\)
\(270\) −5.16403 + 0.576883i −0.314273 + 0.0351080i
\(271\) −3.95501 + 2.28343i −0.240250 + 0.138708i −0.615292 0.788300i \(-0.710962\pi\)
0.375042 + 0.927008i \(0.377628\pi\)
\(272\) 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 −0.214250 0.976779i \(-0.568731\pi\)
0.738791 + 0.673935i \(0.235397\pi\)
\(282\) 8.55004 + 2.75751i 0.509147 + 0.164207i
\(283\) 7.55807 4.36365i 0.449280 0.259392i −0.258246 0.966079i \(-0.583144\pi\)
0.707526 + 0.706687i \(0.249811\pi\)
\(284\) 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 0.490085 + 0.871674i \(0.336966\pi\)
−0.999935 + 0.0114108i \(0.996368\pi\)
\(294\) 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 \(0.0297035\pi\)
−0.995649 + 0.0931808i \(0.970297\pi\)
\(308\) −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 0.946164 + 0.323687i \(0.104923\pi\)
−0.192761 + 0.981246i \(0.561744\pi\)
\(312\) 4.75948 1.02249i 0.269452 0.0578872i
\(313\) 4.19978 + 2.42475i 0.237386 + 0.137055i 0.613975 0.789326i \(-0.289570\pi\)
−0.376589 + 0.926380i \(0.622903\pi\)
\(314\) 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 −0.166319 0.986072i \(-0.553188\pi\)
−0.937123 + 0.348999i \(0.886522\pi\)
\(318\) −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 −0.687688 0.726006i \(-0.741374\pi\)
0.972584 + 0.232553i \(0.0747078\pi\)
\(332\) 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 −0.252864 0.967502i \(-0.581372\pi\)
0.964313 0.264765i \(-0.0852942\pi\)
\(338\) 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 −0.647730 0.761870i \(-0.724281\pi\)
0.335934 + 0.941886i \(0.390948\pi\)
\(348\) 2.22029 + 10.3350i 0.119020 + 0.554013i
\(349\) −18.6240 + 10.7526i −0.996920 + 0.575572i −0.907335 0.420407i \(-0.861887\pi\)
−0.0895843 + 0.995979i \(0.528554\pi\)
\(350\) 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 −0.335878 0.941906i \(-0.609033\pi\)
0.647775 + 0.761831i \(0.275699\pi\)
\(360\) −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 \(-0.626041\pi\)
0.385703 0.922623i \(-0.373959\pi\)
\(368\) −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 \(0.113737\pi\)
−0.936839 + 0.349761i \(0.886263\pi\)
\(390\) −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 −0.882502 0.470309i \(-0.844142\pi\)
−0.0339514 + 0.999423i \(0.510809\pi\)
\(398\) −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 \(0.172035\pi\)
−0.857471 + 0.514533i \(0.827965\pi\)
\(402\) −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 −0.907629 0.419773i \(-0.862110\pi\)
−0.0902803 + 0.995916i \(0.528776\pi\)
\(410\) 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 −0.980075 0.198630i \(-0.936351\pi\)
0.662056 + 0.749454i \(0.269684\pi\)
\(420\) −4.34216 + 1.46480i −0.211876 + 0.0714750i
\(421\) 16.4495 + 28.4914i 0.801701 + 1.38859i 0.918496 + 0.395431i \(0.129405\pi\)
−0.116795 + 0.993156i \(0.537262\pi\)
\(422\) −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 0.936146 0.351613i \(-0.114367\pi\)
0.163567 + 0.986532i \(0.447700\pi\)
\(432\) −0.576883 5.16403i −0.0277553 0.248455i
\(433\) 29.2742i 1.40683i 0.710780 + 0.703415i \(0.248342\pi\)
−0.710780 + 0.703415i \(0.751658\pi\)
\(434\) 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 0.211759 0.977322i \(-0.432081\pi\)
−0.740506 + 0.672050i \(0.765414\pi\)
\(440\) 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 0.879146 0.476552i \(-0.158113\pi\)
0.0268674 + 0.999639i \(0.491447\pi\)
\(444\) −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 \(0.122190\pi\)
−0.927222 + 0.374512i \(0.877810\pi\)
\(450\) 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 −0.503721 0.863867i \(-0.668036\pi\)
0.999991 + 0.00430150i \(0.00136921\pi\)
\(458\) 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 −0.988795 0.149282i \(-0.952304\pi\)
0.365115 0.930962i \(-0.381030\pi\)
\(462\) 19.4794 + 17.1484i 0.906266 + 0.797815i
\(463\) 7.79895 13.5082i 0.362448 0.627778i −0.625915 0.779891i \(-0.715274\pi\)
0.988363 + 0.152113i \(0.0486077\pi\)
\(464\) 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 −0.998998 0.0447533i \(-0.985750\pi\)
0.460742 0.887534i \(-0.347583\pi\)
\(468\) −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 −0.330195 0.943913i \(-0.607115\pi\)
0.982550 0.185999i \(-0.0595521\pi\)
\(488\) 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 0.445658 0.895203i \(-0.352970\pi\)
−0.552440 + 0.833553i \(0.686303\pi\)
\(492\) 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 −0.438146 0.898904i \(-0.644365\pi\)
0.997547 0.0700066i \(-0.0223020\pi\)
\(522\) 1.83453 18.2170i 0.0802952 0.797337i
\(523\) −10.7847 + 6.22654i −0.471581 + 0.272268i −0.716901 0.697175i \(-0.754440\pi\)
0.245320 + 0.969442i \(0.421107\pi\)
\(524\) −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 0.987901 0.155087i \(-0.0495658\pi\)
−0.628260 + 0.778004i \(0.716232\pi\)
\(542\) 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 0.971793 + 0.235836i \(0.0757829\pi\)
−0.281656 + 0.959515i \(0.590884\pi\)
\(548\) −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 0.944180 0.329430i \(-0.106857\pi\)
0.186795 + 0.982399i \(0.440190\pi\)
\(558\) 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 −0.867716 0.497061i \(-0.834413\pi\)
0.00339066 0.999994i \(-0.498921\pi\)
\(564\) −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 0.765663 0.643241i \(-0.222411\pi\)
−0.174232 + 0.984705i \(0.555744\pi\)
\(570\) 5.04856 + 5.58251i 0.211461 + 0.233826i
\(571\) −5.84580 10.1252i −0.244639 0.423727i 0.717391 0.696671i \(-0.245336\pi\)
−0.962030 + 0.272944i \(0.912003\pi\)
\(572\) 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 0.974528 0.224266i \(-0.0719984\pi\)
0.293044 + 0.956099i \(0.405332\pi\)
\(578\) 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 0.773300 0.634040i \(-0.218605\pi\)
−0.935745 + 0.352678i \(0.885271\pi\)
\(588\) −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 0.786802 0.617205i \(-0.211735\pi\)
−0.927916 + 0.372788i \(0.878402\pi\)
\(594\) −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 −0.949271 0.314461i \(-0.898176\pi\)
−0.202304 + 0.979323i \(0.564843\pi\)
\(600\) 1.28464 1.16177i 0.0524451 0.0474290i
\(601\) 28.7087 16.5750i 1.17105 0.676107i 0.217124 0.976144i \(-0.430333\pi\)
0.953927 + 0.300038i \(0.0969992\pi\)
\(602\) −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 \(-0.821078\pi\)
0.846138 0.532964i \(-0.178922\pi\)
\(608\) 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 −0.600448 0.799664i \(-0.705011\pi\)
0.992753 + 0.120172i \(0.0383445\pi\)
\(614\) 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 0.780192 0.625540i \(-0.215121\pi\)
−0.151637 + 0.988436i \(0.548454\pi\)
\(618\) 9.48993 2.03875i 0.381741 0.0820105i
\(619\) 15.9835i 0.642432i 0.947006 + 0.321216i \(0.104092\pi\)
−0.947006 + 0.321216i \(0.895908\pi\)
\(620\) −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 \(-0.947466\pi\)
0.986412 0.164291i \(-0.0525335\pi\)
\(642\) 1.85722 + 2.05364i 0.0732986 + 0.0810508i
\(643\) 11.2945 + 6.52086i 0.445410 + 0.257158i 0.705890 0.708322i \(-0.250547\pi\)
−0.260480 + 0.965479i \(0.583881\pi\)
\(644\) 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 −0.927886 0.372865i \(-0.878375\pi\)
0.786853 + 0.617140i \(0.211709\pi\)
\(648\) −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 \(-0.863211\pi\)
0.909076 0.416631i \(-0.136789\pi\)
\(654\) −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 −0.337817 0.941212i \(-0.609688\pi\)
0.646205 + 0.763164i \(0.276355\pi\)
\(660\) −9.33549 3.01083i −0.363383 0.117196i
\(661\) −18.5903 + 10.7331i −0.723078 + 0.417469i −0.815884 0.578215i \(-0.803749\pi\)
0.0928066 + 0.995684i \(0.470416\pi\)
\(662\) −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 −0.973643 0.228076i \(-0.926757\pi\)
0.289302 0.957238i \(-0.406577\pi\)
\(674\) −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 −0.966430 0.256931i \(-0.917289\pi\)
0.705724 + 0.708487i \(0.250622\pi\)
\(678\) 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 0.796426 0.604736i \(-0.206721\pi\)
−0.125504 + 0.992093i \(0.540055\pi\)
\(684\) −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 0.899224 0.437489i \(-0.144132\pi\)
0.0707348 + 0.997495i \(0.477466\pi\)
\(692\) −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 \(-0.712204\pi\)
0.618364 0.785892i \(-0.287796\pi\)
\(702\) 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 −0.995968 0.0897069i \(-0.971407\pi\)
0.575673 + 0.817680i \(0.304740\pi\)
\(710\) 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 0.501197 0.865333i \(-0.332893\pi\)
−0.999999 + 0.00138257i \(0.999560\pi\)
\(720\) 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 −0.666552 0.745458i \(-0.732231\pi\)
0.312310 + 0.949980i \(0.398897\pi\)
\(728\) −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 \(-0.971159\pi\)
0.995898 0.0904839i \(-0.0288414\pi\)
\(734\) −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 −0.950510 0.310693i \(-0.899439\pi\)
0.744324 + 0.667819i \(0.232772\pi\)
\(740\) 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 −0.260288 0.965531i \(-0.583818\pi\)
−0.966318 + 0.257349i \(0.917151\pi\)
\(744\) 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 −0.874857 0.505099i