Properties

Label 91.2.u.b.88.4
Level $91$
Weight $2$
Character 91.88
Analytic conductor $0.727$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: 12.0.2346760387617129.1
Defining polynomial: \(x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + 16 x^{2} - 96 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 88.4
Root \(-1.18541 - 0.771231i\) of defining polynomial
Character \(\chi\) \(=\) 91.88
Dual form 91.2.u.b.30.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.433001 + 0.249993i) q^{2} +0.849601 q^{3} +(-0.875007 - 1.51556i) q^{4} +(0.902810 - 0.521238i) q^{5} +(0.367878 + 0.212395i) q^{6} +(1.52469 + 2.16225i) q^{7} -1.87496i q^{8} -2.27818 q^{9} +O(q^{10})\) \(q+(0.433001 + 0.249993i) q^{2} +0.849601 q^{3} +(-0.875007 - 1.51556i) q^{4} +(0.902810 - 0.521238i) q^{5} +(0.367878 + 0.212395i) q^{6} +(1.52469 + 2.16225i) q^{7} -1.87496i q^{8} -2.27818 q^{9} +0.521224 q^{10} +3.96730i q^{11} +(-0.743407 - 1.28762i) q^{12} +(-3.57504 - 0.468096i) q^{13} +(0.119647 + 1.31742i) q^{14} +(0.767029 - 0.442844i) q^{15} +(-1.28129 + 2.21925i) q^{16} +(-0.0710177 - 0.123006i) q^{17} +(-0.986453 - 0.569529i) q^{18} -5.50977i q^{19} +(-1.57993 - 0.912173i) q^{20} +(1.29538 + 1.83705i) q^{21} +(-0.991800 + 1.71785i) q^{22} +(2.19549 - 3.80270i) q^{23} -1.59297i q^{24} +(-1.95662 + 3.38897i) q^{25} +(-1.43097 - 1.09642i) q^{26} -4.48435 q^{27} +(1.94289 - 4.20274i) q^{28} +(4.19880 + 7.27253i) q^{29} +0.442832 q^{30} +(-2.46516 - 1.42326i) q^{31} +(-4.35712 + 2.51558i) q^{32} +3.37063i q^{33} -0.0710158i q^{34} +(2.50355 + 1.15737i) q^{35} +(1.99342 + 3.45271i) q^{36} +(-0.730221 - 0.421593i) q^{37} +(1.37740 - 2.38574i) q^{38} +(-3.03736 - 0.397695i) q^{39} +(-0.977298 - 1.69273i) q^{40} +(10.4766 - 6.04869i) q^{41} +(0.101652 + 1.11928i) q^{42} +(2.41161 - 4.17704i) q^{43} +(6.01267 - 3.47142i) q^{44} +(-2.05676 + 1.18747i) q^{45} +(1.90130 - 1.09772i) q^{46} +(3.94602 - 2.27824i) q^{47} +(-1.08858 + 1.88548i) q^{48} +(-2.35062 + 6.59353i) q^{49} +(-1.69444 + 0.978285i) q^{50} +(-0.0603367 - 0.104506i) q^{51} +(2.41875 + 5.82776i) q^{52} +(0.139800 - 0.242141i) q^{53} +(-1.94173 - 1.12106i) q^{54} +(2.06791 + 3.58172i) q^{55} +(4.05412 - 2.85873i) q^{56} -4.68111i q^{57} +4.19868i q^{58} +(9.33705 - 5.39075i) q^{59} +(-1.34231 - 0.774983i) q^{60} -5.86354 q^{61} +(-0.711612 - 1.23255i) q^{62} +(-3.47352 - 4.92598i) q^{63} +2.60963 q^{64} +(-3.47157 + 1.44084i) q^{65} +(-0.842634 + 1.45949i) q^{66} +5.14447i q^{67} +(-0.124282 + 0.215263i) q^{68} +(1.86529 - 3.23078i) q^{69} +(0.794706 + 1.12701i) q^{70} +(-3.20326 - 1.84940i) q^{71} +4.27148i q^{72} +(-5.72686 - 3.30640i) q^{73} +(-0.210791 - 0.365101i) q^{74} +(-1.66235 + 2.87927i) q^{75} +(-8.35036 + 4.82108i) q^{76} +(-8.57829 + 6.04892i) q^{77} +(-1.21576 - 0.931521i) q^{78} +(-5.96135 - 10.3254i) q^{79} +2.67142i q^{80} +3.02462 q^{81} +6.04853 q^{82} +2.87321i q^{83} +(1.65068 - 3.57065i) q^{84} +(-0.128231 - 0.0740342i) q^{85} +(2.08846 - 1.20578i) q^{86} +(3.56730 + 6.17875i) q^{87} +7.43852 q^{88} +(1.51351 + 0.873824i) q^{89} -1.18744 q^{90} +(-4.43870 - 8.44381i) q^{91} -7.68427 q^{92} +(-2.09440 - 1.20921i) q^{93} +2.27818 q^{94} +(-2.87190 - 4.97427i) q^{95} +(-3.70181 + 2.13724i) q^{96} +(2.34079 + 1.35145i) q^{97} +(-2.66616 + 2.26737i) q^{98} -9.03822i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 6q^{3} + 4q^{4} + 3q^{5} - 9q^{6} + 3q^{7} + 2q^{9} + O(q^{10}) \) \( 12q + 6q^{3} + 4q^{4} + 3q^{5} - 9q^{6} + 3q^{7} + 2q^{9} - 24q^{10} - q^{12} - 2q^{13} + 4q^{14} - 12q^{15} - 8q^{16} + 17q^{17} - 3q^{18} - 3q^{20} - 21q^{21} - 15q^{22} + 3q^{23} - 5q^{25} - 9q^{26} + 12q^{27} + 27q^{28} - q^{29} - 22q^{30} - 18q^{31} + 18q^{32} + 18q^{35} - 13q^{36} + 15q^{37} + 19q^{38} - q^{39} - q^{40} - 6q^{41} - 8q^{42} + 11q^{43} + 33q^{44} - 9q^{45} - 30q^{46} + 15q^{47} + 19q^{48} + 9q^{49} + 18q^{50} + 4q^{51} + 47q^{52} - 8q^{53} + 6q^{54} - 15q^{55} + 27q^{59} + 30q^{60} - 10q^{61} + 41q^{62} - 54q^{63} + 2q^{64} - 3q^{65} - 34q^{66} - 11q^{68} + 7q^{69} - 3q^{70} + 30q^{71} - 42q^{73} - 33q^{74} + q^{75} - 45q^{76} - 19q^{77} + 44q^{78} - 35q^{79} - 28q^{81} - 10q^{82} + 3q^{84} - 21q^{85} + 57q^{86} + 10q^{87} + 28q^{88} + 48q^{89} - 16q^{91} - 66q^{92} - 81q^{93} - 2q^{94} + 2q^{95} - 21q^{96} - 3q^{97} - 36q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.433001 + 0.249993i 0.306178 + 0.176772i 0.645215 0.764001i \(-0.276768\pi\)
−0.339037 + 0.940773i \(0.610101\pi\)
\(3\) 0.849601 0.490518 0.245259 0.969458i \(-0.421127\pi\)
0.245259 + 0.969458i \(0.421127\pi\)
\(4\) −0.875007 1.51556i −0.437503 0.757778i
\(5\) 0.902810 0.521238i 0.403749 0.233105i −0.284351 0.958720i \(-0.591778\pi\)
0.688100 + 0.725616i \(0.258445\pi\)
\(6\) 0.367878 + 0.212395i 0.150186 + 0.0867098i
\(7\) 1.52469 + 2.16225i 0.576280 + 0.817252i
\(8\) 1.87496i 0.662897i
\(9\) −2.27818 −0.759392
\(10\) 0.521224 0.164825
\(11\) 3.96730i 1.19619i 0.801426 + 0.598094i \(0.204075\pi\)
−0.801426 + 0.598094i \(0.795925\pi\)
\(12\) −0.743407 1.28762i −0.214603 0.371703i
\(13\) −3.57504 0.468096i −0.991537 0.129827i
\(14\) 0.119647 + 1.31742i 0.0319770 + 0.352095i
\(15\) 0.767029 0.442844i 0.198046 0.114342i
\(16\) −1.28129 + 2.21925i −0.320322 + 0.554813i
\(17\) −0.0710177 0.123006i −0.0172243 0.0298334i 0.857285 0.514843i \(-0.172150\pi\)
−0.874509 + 0.485009i \(0.838816\pi\)
\(18\) −0.986453 0.569529i −0.232509 0.134239i
\(19\) 5.50977i 1.26403i −0.774957 0.632014i \(-0.782229\pi\)
0.774957 0.632014i \(-0.217771\pi\)
\(20\) −1.57993 0.912173i −0.353283 0.203968i
\(21\) 1.29538 + 1.83705i 0.282676 + 0.400877i
\(22\) −0.991800 + 1.71785i −0.211452 + 0.366246i
\(23\) 2.19549 3.80270i 0.457791 0.792917i −0.541053 0.840989i \(-0.681974\pi\)
0.998844 + 0.0480711i \(0.0153074\pi\)
\(24\) 1.59297i 0.325163i
\(25\) −1.95662 + 3.38897i −0.391325 + 0.677794i
\(26\) −1.43097 1.09642i −0.280637 0.215026i
\(27\) −4.48435 −0.863013
\(28\) 1.94289 4.20274i 0.367171 0.794243i
\(29\) 4.19880 + 7.27253i 0.779697 + 1.35047i 0.932116 + 0.362159i \(0.117960\pi\)
−0.152419 + 0.988316i \(0.548706\pi\)
\(30\) 0.442832 0.0808498
\(31\) −2.46516 1.42326i −0.442756 0.255625i 0.262010 0.965065i \(-0.415615\pi\)
−0.704766 + 0.709440i \(0.748948\pi\)
\(32\) −4.35712 + 2.51558i −0.770237 + 0.444696i
\(33\) 3.37063i 0.586751i
\(34\) 0.0710158i 0.0121791i
\(35\) 2.50355 + 1.15737i 0.423178 + 0.195631i
\(36\) 1.99342 + 3.45271i 0.332237 + 0.575451i
\(37\) −0.730221 0.421593i −0.120048 0.0693095i 0.438774 0.898598i \(-0.355413\pi\)
−0.558821 + 0.829288i \(0.688746\pi\)
\(38\) 1.37740 2.38574i 0.223445 0.387017i
\(39\) −3.03736 0.397695i −0.486366 0.0636822i
\(40\) −0.977298 1.69273i −0.154524 0.267644i
\(41\) 10.4766 6.04869i 1.63618 0.944647i 0.654044 0.756457i \(-0.273071\pi\)
0.982133 0.188190i \(-0.0602621\pi\)
\(42\) 0.101652 + 1.11928i 0.0156853 + 0.172709i
\(43\) 2.41161 4.17704i 0.367768 0.636993i −0.621448 0.783455i \(-0.713455\pi\)
0.989216 + 0.146463i \(0.0467888\pi\)
\(44\) 6.01267 3.47142i 0.906444 0.523336i
\(45\) −2.05676 + 1.18747i −0.306604 + 0.177018i
\(46\) 1.90130 1.09772i 0.280331 0.161849i
\(47\) 3.94602 2.27824i 0.575587 0.332315i −0.183791 0.982965i \(-0.558837\pi\)
0.759378 + 0.650650i \(0.225504\pi\)
\(48\) −1.08858 + 1.88548i −0.157123 + 0.272146i
\(49\) −2.35062 + 6.59353i −0.335803 + 0.941932i
\(50\) −1.69444 + 0.978285i −0.239630 + 0.138350i
\(51\) −0.0603367 0.104506i −0.00844883 0.0146338i
\(52\) 2.41875 + 5.82776i 0.335421 + 0.808164i
\(53\) 0.139800 0.242141i 0.0192030 0.0332606i −0.856264 0.516538i \(-0.827220\pi\)
0.875467 + 0.483278i \(0.160554\pi\)
\(54\) −1.94173 1.12106i −0.264236 0.152557i
\(55\) 2.06791 + 3.58172i 0.278837 + 0.482959i
\(56\) 4.05412 2.85873i 0.541754 0.382014i
\(57\) 4.68111i 0.620028i
\(58\) 4.19868i 0.551314i
\(59\) 9.33705 5.39075i 1.21558 0.701815i 0.251611 0.967829i \(-0.419040\pi\)
0.963969 + 0.266013i \(0.0857065\pi\)
\(60\) −1.34231 0.774983i −0.173292 0.100050i
\(61\) −5.86354 −0.750749 −0.375374 0.926873i \(-0.622486\pi\)
−0.375374 + 0.926873i \(0.622486\pi\)
\(62\) −0.711612 1.23255i −0.0903748 0.156534i
\(63\) −3.47352 4.92598i −0.437623 0.620615i
\(64\) 2.60963 0.326204
\(65\) −3.47157 + 1.44084i −0.430595 + 0.178714i
\(66\) −0.842634 + 1.45949i −0.103721 + 0.179650i
\(67\) 5.14447i 0.628497i 0.949341 + 0.314248i \(0.101753\pi\)
−0.949341 + 0.314248i \(0.898247\pi\)
\(68\) −0.124282 + 0.215263i −0.0150714 + 0.0261044i
\(69\) 1.86529 3.23078i 0.224555 0.388940i
\(70\) 0.794706 + 1.12701i 0.0949856 + 0.134704i
\(71\) −3.20326 1.84940i −0.380157 0.219484i 0.297730 0.954650i \(-0.403771\pi\)
−0.677887 + 0.735167i \(0.737104\pi\)
\(72\) 4.27148i 0.503399i
\(73\) −5.72686 3.30640i −0.670278 0.386985i 0.125904 0.992042i \(-0.459817\pi\)
−0.796182 + 0.605057i \(0.793150\pi\)
\(74\) −0.210791 0.365101i −0.0245040 0.0424421i
\(75\) −1.66235 + 2.87927i −0.191952 + 0.332470i
\(76\) −8.35036 + 4.82108i −0.957852 + 0.553016i
\(77\) −8.57829 + 6.04892i −0.977587 + 0.689339i
\(78\) −1.21576 0.931521i −0.137657 0.105474i
\(79\) −5.96135 10.3254i −0.670705 1.16169i −0.977705 0.209985i \(-0.932658\pi\)
0.307000 0.951710i \(-0.400675\pi\)
\(80\) 2.67142i 0.298674i
\(81\) 3.02462 0.336069
\(82\) 6.04853 0.667948
\(83\) 2.87321i 0.315376i 0.987489 + 0.157688i \(0.0504040\pi\)
−0.987489 + 0.157688i \(0.949596\pi\)
\(84\) 1.65068 3.57065i 0.180104 0.389590i
\(85\) −0.128231 0.0740342i −0.0139086 0.00803013i
\(86\) 2.08846 1.20578i 0.225205 0.130022i
\(87\) 3.56730 + 6.17875i 0.382455 + 0.662432i
\(88\) 7.43852 0.792949
\(89\) 1.51351 + 0.873824i 0.160432 + 0.0926252i 0.578066 0.815990i \(-0.303807\pi\)
−0.417635 + 0.908615i \(0.637141\pi\)
\(90\) −1.18744 −0.125167
\(91\) −4.43870 8.44381i −0.465302 0.885152i
\(92\) −7.68427 −0.801141
\(93\) −2.09440 1.20921i −0.217180 0.125389i
\(94\) 2.27818 0.234976
\(95\) −2.87190 4.97427i −0.294650 0.510350i
\(96\) −3.70181 + 2.13724i −0.377815 + 0.218131i
\(97\) 2.34079 + 1.35145i 0.237671 + 0.137219i 0.614106 0.789224i \(-0.289517\pi\)
−0.376435 + 0.926443i \(0.622850\pi\)
\(98\) −2.66616 + 2.26737i −0.269323 + 0.229039i
\(99\) 9.03822i 0.908376i
\(100\) 6.84823 0.684823
\(101\) −11.4722 −1.14153 −0.570765 0.821114i \(-0.693353\pi\)
−0.570765 + 0.821114i \(0.693353\pi\)
\(102\) 0.0603351i 0.00597407i
\(103\) 2.08475 + 3.61090i 0.205417 + 0.355792i 0.950265 0.311441i \(-0.100812\pi\)
−0.744849 + 0.667233i \(0.767478\pi\)
\(104\) −0.877660 + 6.70304i −0.0860617 + 0.657287i
\(105\) 2.12702 + 0.983303i 0.207576 + 0.0959606i
\(106\) 0.121067 0.0698982i 0.0117591 0.00678911i
\(107\) −4.24371 + 7.35032i −0.410255 + 0.710583i −0.994917 0.100694i \(-0.967894\pi\)
0.584662 + 0.811277i \(0.301227\pi\)
\(108\) 3.92383 + 6.79628i 0.377571 + 0.653972i
\(109\) −5.56886 3.21518i −0.533400 0.307958i 0.209000 0.977916i \(-0.432979\pi\)
−0.742400 + 0.669957i \(0.766312\pi\)
\(110\) 2.06785i 0.197162i
\(111\) −0.620397 0.358186i −0.0588855 0.0339975i
\(112\) −6.75214 + 0.613225i −0.638018 + 0.0579443i
\(113\) −5.48164 + 9.49448i −0.515670 + 0.893166i 0.484165 + 0.874977i \(0.339123\pi\)
−0.999835 + 0.0181892i \(0.994210\pi\)
\(114\) 1.17025 2.02692i 0.109603 0.189839i
\(115\) 4.57749i 0.426853i
\(116\) 7.34795 12.7270i 0.682240 1.18167i
\(117\) 8.14457 + 1.06641i 0.752965 + 0.0985893i
\(118\) 5.39060 0.496245
\(119\) 0.157690 0.341105i 0.0144554 0.0312690i
\(120\) −0.830314 1.43815i −0.0757969 0.131284i
\(121\) −4.73951 −0.430864
\(122\) −2.53892 1.46584i −0.229863 0.132711i
\(123\) 8.90097 5.13898i 0.802573 0.463366i
\(124\) 4.98145i 0.447348i
\(125\) 9.29184i 0.831087i
\(126\) −0.272577 3.00131i −0.0242831 0.267378i
\(127\) −1.00394 1.73887i −0.0890849 0.154300i 0.818040 0.575162i \(-0.195061\pi\)
−0.907125 + 0.420862i \(0.861728\pi\)
\(128\) 9.84421 + 5.68356i 0.870113 + 0.502360i
\(129\) 2.04891 3.54882i 0.180397 0.312456i
\(130\) −1.86339 0.243983i −0.163430 0.0213987i
\(131\) 6.22511 + 10.7822i 0.543890 + 0.942046i 0.998676 + 0.0514449i \(0.0163826\pi\)
−0.454785 + 0.890601i \(0.650284\pi\)
\(132\) 5.10838 2.94932i 0.444627 0.256706i
\(133\) 11.9135 8.40071i 1.03303 0.728434i
\(134\) −1.28608 + 2.22756i −0.111101 + 0.192432i
\(135\) −4.04851 + 2.33741i −0.348441 + 0.201172i
\(136\) −0.230631 + 0.133155i −0.0197765 + 0.0114180i
\(137\) 4.54246 2.62259i 0.388088 0.224063i −0.293243 0.956038i \(-0.594735\pi\)
0.681332 + 0.731975i \(0.261401\pi\)
\(138\) 1.61535 0.932620i 0.137507 0.0793899i
\(139\) 10.3693 17.9601i 0.879510 1.52336i 0.0276301 0.999618i \(-0.491204\pi\)
0.851880 0.523737i \(-0.175463\pi\)
\(140\) −0.436567 4.80698i −0.0368966 0.406264i
\(141\) 3.35255 1.93559i 0.282335 0.163006i
\(142\) −0.924676 1.60159i −0.0775971 0.134402i
\(143\) 1.85708 14.1833i 0.155297 1.18606i
\(144\) 2.91900 5.05585i 0.243250 0.421321i
\(145\) 7.58143 + 4.37714i 0.629604 + 0.363502i
\(146\) −1.65316 2.86335i −0.136816 0.236973i
\(147\) −1.99709 + 5.60187i −0.164717 + 0.462034i
\(148\) 1.47559i 0.121293i
\(149\) 0.0113760i 0.000931956i 1.00000 0.000465978i \(0.000148325\pi\)
−1.00000 0.000465978i \(0.999852\pi\)
\(150\) −1.43960 + 0.831153i −0.117543 + 0.0678633i
\(151\) 16.3726 + 9.45271i 1.33238 + 0.769251i 0.985664 0.168719i \(-0.0539631\pi\)
0.346717 + 0.937970i \(0.387296\pi\)
\(152\) −10.3306 −0.837920
\(153\) 0.161791 + 0.280230i 0.0130800 + 0.0226553i
\(154\) −5.22660 + 0.474676i −0.421171 + 0.0382505i
\(155\) −2.96743 −0.238350
\(156\) 2.05498 + 4.95127i 0.164530 + 0.396419i
\(157\) −9.89687 + 17.1419i −0.789856 + 1.36807i 0.136198 + 0.990682i \(0.456512\pi\)
−0.926054 + 0.377390i \(0.876822\pi\)
\(158\) 5.96119i 0.474247i
\(159\) 0.118774 0.205723i 0.00941942 0.0163149i
\(160\) −2.62243 + 4.54219i −0.207321 + 0.359091i
\(161\) 11.5698 1.05076i 0.911830 0.0828117i
\(162\) 1.30967 + 0.756136i 0.102897 + 0.0594076i
\(163\) 8.93255i 0.699651i 0.936815 + 0.349825i \(0.113759\pi\)
−0.936815 + 0.349825i \(0.886241\pi\)
\(164\) −18.3343 10.5853i −1.43167 0.826572i
\(165\) 1.75690 + 3.04304i 0.136774 + 0.236900i
\(166\) −0.718284 + 1.24410i −0.0557496 + 0.0965612i
\(167\) 5.31279 3.06734i 0.411116 0.237358i −0.280153 0.959955i \(-0.590385\pi\)
0.691269 + 0.722597i \(0.257052\pi\)
\(168\) 3.44438 2.42879i 0.265740 0.187385i
\(169\) 12.5618 + 3.34692i 0.966290 + 0.257456i
\(170\) −0.0370161 0.0641138i −0.00283900 0.00491730i
\(171\) 12.5522i 0.959893i
\(172\) −8.44072 −0.643599
\(173\) −24.2628 −1.84466 −0.922332 0.386399i \(-0.873719\pi\)
−0.922332 + 0.386399i \(0.873719\pi\)
\(174\) 3.56721i 0.270429i
\(175\) −10.3110 + 0.936441i −0.779441 + 0.0707883i
\(176\) −8.80446 5.08325i −0.663661 0.383165i
\(177\) 7.93277 4.57999i 0.596263 0.344253i
\(178\) 0.436901 + 0.756734i 0.0327471 + 0.0567196i
\(179\) 4.13675 0.309195 0.154598 0.987978i \(-0.450592\pi\)
0.154598 + 0.987978i \(0.450592\pi\)
\(180\) 3.59936 + 2.07809i 0.268280 + 0.154892i
\(181\) −7.86568 −0.584651 −0.292326 0.956319i \(-0.594429\pi\)
−0.292326 + 0.956319i \(0.594429\pi\)
\(182\) 0.188936 4.76582i 0.0140049 0.353266i
\(183\) −4.98167 −0.368256
\(184\) −7.12989 4.11645i −0.525623 0.303468i
\(185\) −0.879001 −0.0646254
\(186\) −0.604586 1.04717i −0.0443304 0.0767825i
\(187\) 0.488003 0.281749i 0.0356863 0.0206035i
\(188\) −6.90560 3.98695i −0.503642 0.290778i
\(189\) −6.83726 9.69626i −0.497337 0.705299i
\(190\) 2.87182i 0.208344i
\(191\) −6.47866 −0.468780 −0.234390 0.972143i \(-0.575309\pi\)
−0.234390 + 0.972143i \(0.575309\pi\)
\(192\) 2.21715 0.160009
\(193\) 4.82928i 0.347619i −0.984779 0.173810i \(-0.944392\pi\)
0.984779 0.173810i \(-0.0556077\pi\)
\(194\) 0.675708 + 1.17036i 0.0485130 + 0.0840270i
\(195\) −2.94945 + 1.22414i −0.211214 + 0.0876626i
\(196\) 12.0497 2.20689i 0.860690 0.157635i
\(197\) −22.3748 + 12.9181i −1.59414 + 0.920377i −0.601554 + 0.798832i \(0.705452\pi\)
−0.992586 + 0.121545i \(0.961215\pi\)
\(198\) 2.25950 3.91356i 0.160575 0.278125i
\(199\) 8.55731 + 14.8217i 0.606612 + 1.05068i 0.991795 + 0.127842i \(0.0408050\pi\)
−0.385183 + 0.922840i \(0.625862\pi\)
\(200\) 6.35417 + 3.66858i 0.449308 + 0.259408i
\(201\) 4.37075i 0.308289i
\(202\) −4.96749 2.86798i −0.349511 0.201790i
\(203\) −9.32312 + 20.1672i −0.654355 + 1.41546i
\(204\) −0.105590 + 0.182887i −0.00739278 + 0.0128047i
\(205\) 6.30561 10.9216i 0.440403 0.762800i
\(206\) 2.08470i 0.145248i
\(207\) −5.00171 + 8.66322i −0.347643 + 0.602136i
\(208\) 5.61947 7.33415i 0.389640 0.508532i
\(209\) 21.8589 1.51201
\(210\) 0.675184 + 0.957513i 0.0465921 + 0.0660746i
\(211\) −9.14557 15.8406i −0.629607 1.09051i −0.987631 0.156799i \(-0.949883\pi\)
0.358024 0.933713i \(-0.383451\pi\)
\(212\) −0.489304 −0.0336055
\(213\) −2.72149 1.57125i −0.186474 0.107661i
\(214\) −3.67506 + 2.12180i −0.251222 + 0.145043i
\(215\) 5.02810i 0.342913i
\(216\) 8.40796i 0.572089i
\(217\) −0.681174 7.50032i −0.0462411 0.509155i
\(218\) −1.60755 2.78435i −0.108877 0.188580i
\(219\) −4.86555 2.80912i −0.328783 0.189823i
\(220\) 3.61887 6.26806i 0.243984 0.422593i
\(221\) 0.196312 + 0.472995i 0.0132054 + 0.0318171i
\(222\) −0.179088 0.310190i −0.0120196 0.0208186i
\(223\) −9.96682 + 5.75435i −0.667428 + 0.385340i −0.795101 0.606477i \(-0.792582\pi\)
0.127674 + 0.991816i \(0.459249\pi\)
\(224\) −12.0826 5.58567i −0.807301 0.373208i
\(225\) 4.45753 7.72067i 0.297169 0.514712i
\(226\) −4.74711 + 2.74075i −0.315773 + 0.182312i
\(227\) 15.5057 8.95223i 1.02915 0.594181i 0.112410 0.993662i \(-0.464143\pi\)
0.916741 + 0.399481i \(0.130810\pi\)
\(228\) −7.09448 + 4.09600i −0.469843 + 0.271264i
\(229\) 3.34589 1.93175i 0.221103 0.127654i −0.385358 0.922767i \(-0.625922\pi\)
0.606461 + 0.795113i \(0.292589\pi\)
\(230\) 1.14434 1.98206i 0.0754556 0.130693i
\(231\) −7.28813 + 5.13918i −0.479524 + 0.338133i
\(232\) 13.6357 7.87256i 0.895226 0.516859i
\(233\) 12.5321 + 21.7062i 0.821004 + 1.42202i 0.904935 + 0.425549i \(0.139919\pi\)
−0.0839312 + 0.996472i \(0.526748\pi\)
\(234\) 3.26001 + 2.49784i 0.213114 + 0.163289i
\(235\) 2.37501 4.11363i 0.154928 0.268344i
\(236\) −16.3400 9.43388i −1.06364 0.614093i
\(237\) −5.06477 8.77245i −0.328992 0.569832i
\(238\) 0.153554 0.108277i 0.00995340 0.00701858i
\(239\) 7.80462i 0.504839i 0.967618 + 0.252419i \(0.0812263\pi\)
−0.967618 + 0.252419i \(0.918774\pi\)
\(240\) 2.26964i 0.146505i
\(241\) 18.8493 10.8826i 1.21419 0.701012i 0.250519 0.968112i \(-0.419399\pi\)
0.963669 + 0.267100i \(0.0860655\pi\)
\(242\) −2.05221 1.18484i −0.131921 0.0761647i
\(243\) 16.0228 1.02786
\(244\) 5.13063 + 8.88652i 0.328455 + 0.568901i
\(245\) 1.31463 + 7.17793i 0.0839888 + 0.458581i
\(246\) 5.13884 0.327640
\(247\) −2.57910 + 19.6976i −0.164104 + 1.25333i
\(248\) −2.66855 + 4.62207i −0.169453 + 0.293502i
\(249\) 2.44109i 0.154698i
\(250\) −2.32290 + 4.02338i −0.146913 + 0.254461i
\(251\) 3.83990 6.65090i 0.242372 0.419801i −0.719017 0.694992i \(-0.755408\pi\)
0.961390 + 0.275191i \(0.0887411\pi\)
\(252\) −4.42624 + 9.57458i −0.278827 + 0.603142i
\(253\) 15.0865 + 8.71017i 0.948478 + 0.547604i
\(254\) 1.00391i 0.0629909i
\(255\) −0.108945 0.0628995i −0.00682241 0.00393892i
\(256\) 0.232070 + 0.401958i 0.0145044 + 0.0251224i
\(257\) 6.81187 11.7985i 0.424913 0.735971i −0.571499 0.820603i \(-0.693638\pi\)
0.996412 + 0.0846316i \(0.0269713\pi\)
\(258\) 1.77436 1.02443i 0.110467 0.0637781i
\(259\) −0.201775 2.22172i −0.0125377 0.138051i
\(260\) 5.22132 + 4.00061i 0.323813 + 0.248107i
\(261\) −9.56560 16.5681i −0.592096 1.02554i
\(262\) 6.22494i 0.384578i
\(263\) −11.7232 −0.722880 −0.361440 0.932395i \(-0.617715\pi\)
−0.361440 + 0.932395i \(0.617715\pi\)
\(264\) 6.31978 0.388956
\(265\) 0.291476i 0.0179052i
\(266\) 7.25867 0.659227i 0.445057 0.0404198i
\(267\) 1.28588 + 0.742403i 0.0786945 + 0.0454343i
\(268\) 7.79673 4.50144i 0.476261 0.274970i
\(269\) −4.59938 7.96636i −0.280429 0.485717i 0.691061 0.722796i \(-0.257143\pi\)
−0.971490 + 0.237079i \(0.923810\pi\)
\(270\) −2.33735 −0.142246
\(271\) 2.22022 + 1.28184i 0.134869 + 0.0778665i 0.565916 0.824463i \(-0.308523\pi\)
−0.431048 + 0.902329i \(0.641856\pi\)
\(272\) 0.363976 0.0220693
\(273\) −3.77112 7.17388i −0.228239 0.434183i
\(274\) 2.62252 0.158432
\(275\) −13.4451 7.76252i −0.810769 0.468097i
\(276\) −6.52857 −0.392974
\(277\) −0.466941 0.808765i −0.0280558 0.0485940i 0.851657 0.524100i \(-0.175598\pi\)
−0.879712 + 0.475506i \(0.842265\pi\)
\(278\) 8.97981 5.18450i 0.538573 0.310945i
\(279\) 5.61607 + 3.24244i 0.336226 + 0.194120i
\(280\) 2.17002 4.69405i 0.129683 0.280523i
\(281\) 6.45288i 0.384947i 0.981302 + 0.192473i \(0.0616509\pi\)
−0.981302 + 0.192473i \(0.938349\pi\)
\(282\) 1.93554 0.115260
\(283\) −22.1746 −1.31814 −0.659071 0.752081i \(-0.729050\pi\)
−0.659071 + 0.752081i \(0.729050\pi\)
\(284\) 6.47296i 0.384099i
\(285\) −2.43997 4.22615i −0.144531 0.250335i
\(286\) 4.34984 5.67711i 0.257211 0.335695i
\(287\) 29.0524 + 13.4307i 1.71491 + 0.792788i
\(288\) 9.92629 5.73094i 0.584912 0.337699i
\(289\) 8.48991 14.7050i 0.499407 0.864998i
\(290\) 2.18851 + 3.79061i 0.128514 + 0.222593i
\(291\) 1.98873 + 1.14820i 0.116582 + 0.0673085i
\(292\) 11.5725i 0.677229i
\(293\) −20.9600 12.1013i −1.22450 0.706964i −0.258624 0.965978i \(-0.583269\pi\)
−0.965874 + 0.259014i \(0.916602\pi\)
\(294\) −2.26517 + 1.92636i −0.132107 + 0.112347i
\(295\) 5.61972 9.73364i 0.327193 0.566714i
\(296\) −0.790469 + 1.36913i −0.0459451 + 0.0795792i
\(297\) 17.7908i 1.03233i
\(298\) −0.00284392 + 0.00492581i −0.000164744 + 0.000285345i
\(299\) −9.62898 + 12.5671i −0.556858 + 0.726773i
\(300\) 5.81827 0.335918
\(301\) 12.7088 1.15420i 0.732521 0.0665270i
\(302\) 4.72623 + 8.18607i 0.271964 + 0.471055i
\(303\) −9.74683 −0.559940
\(304\) 12.2276 + 7.05959i 0.701299 + 0.404895i
\(305\) −5.29366 + 3.05630i −0.303114 + 0.175003i
\(306\) 0.161787i 0.00924872i
\(307\) 24.2924i 1.38644i 0.720726 + 0.693220i \(0.243809\pi\)
−0.720726 + 0.693220i \(0.756191\pi\)
\(308\) 16.6735 + 7.70803i 0.950063 + 0.439206i
\(309\) 1.77121 + 3.06782i 0.100761 + 0.174522i
\(310\) −1.28490 0.741837i −0.0729774 0.0421335i
\(311\) 1.99355 3.45294i 0.113044 0.195798i −0.803952 0.594694i \(-0.797273\pi\)
0.916996 + 0.398896i \(0.130607\pi\)
\(312\) −0.745661 + 5.69491i −0.0422148 + 0.322411i
\(313\) −14.2377 24.6604i −0.804763 1.39389i −0.916451 0.400147i \(-0.868959\pi\)
0.111688 0.993743i \(-0.464374\pi\)
\(314\) −8.57071 + 4.94830i −0.483673 + 0.279249i
\(315\) −5.70354 2.63669i −0.321358 0.148561i
\(316\) −10.4324 + 18.0695i −0.586871 + 1.01649i
\(317\) 14.5632 8.40806i 0.817950 0.472244i −0.0317591 0.999496i \(-0.510111\pi\)
0.849709 + 0.527252i \(0.176778\pi\)
\(318\) 0.102859 0.0593856i 0.00576804 0.00333018i
\(319\) −28.8523 + 16.6579i −1.61542 + 0.932664i
\(320\) 2.35600 1.36024i 0.131704 0.0760396i
\(321\) −3.60546 + 6.24485i −0.201237 + 0.348553i
\(322\) 5.27243 + 2.43740i 0.293821 + 0.135831i
\(323\) −0.677736 + 0.391291i −0.0377102 + 0.0217720i
\(324\) −2.64657 4.58399i −0.147031 0.254666i
\(325\) 8.58136 11.1998i 0.476008 0.621253i
\(326\) −2.23308 + 3.86780i −0.123679 + 0.214218i
\(327\) −4.73131 2.73162i −0.261642 0.151059i
\(328\) −11.3410 19.6432i −0.626204 1.08462i
\(329\) 10.9426 + 5.05866i 0.603285 + 0.278893i
\(330\) 1.75685i 0.0967115i
\(331\) 6.20917i 0.341287i 0.985333 + 0.170644i \(0.0545846\pi\)
−0.985333 + 0.170644i \(0.945415\pi\)
\(332\) 4.35451 2.51408i 0.238985 0.137978i
\(333\) 1.66357 + 0.960464i 0.0911632 + 0.0526331i
\(334\) 3.06726 0.167833
\(335\) 2.68149 + 4.64448i 0.146505 + 0.253755i
\(336\) −5.73663 + 0.520997i −0.312959 + 0.0284227i
\(337\) 7.69650 0.419255 0.209628 0.977781i \(-0.432775\pi\)
0.209628 + 0.977781i \(0.432775\pi\)
\(338\) 4.60255 + 4.58958i 0.250346 + 0.249640i
\(339\) −4.65721 + 8.06653i −0.252945 + 0.438114i
\(340\) 0.259122i 0.0140528i
\(341\) 5.64651 9.78005i 0.305776 0.529619i
\(342\) −3.13797 + 5.43513i −0.169682 + 0.293898i
\(343\) −17.8408 + 4.97049i −0.963313 + 0.268381i
\(344\) −7.83177 4.52167i −0.422261 0.243792i
\(345\) 3.88904i 0.209379i
\(346\) −10.5058 6.06553i −0.564795 0.326085i
\(347\) −15.2047 26.3353i −0.816231 1.41375i −0.908440 0.418015i \(-0.862726\pi\)
0.0922088 0.995740i \(-0.470607\pi\)
\(348\) 6.24283 10.8129i 0.334651 0.579632i
\(349\) −13.9933 + 8.07906i −0.749046 + 0.432462i −0.825349 0.564623i \(-0.809022\pi\)
0.0763028 + 0.997085i \(0.475688\pi\)
\(350\) −4.69880 2.17221i −0.251161 0.116110i
\(351\) 16.0317 + 2.09911i 0.855709 + 0.112042i
\(352\) −9.98008 17.2860i −0.531940 0.921347i
\(353\) 11.8424i 0.630306i 0.949041 + 0.315153i \(0.102056\pi\)
−0.949041 + 0.315153i \(0.897944\pi\)
\(354\) 4.57986 0.243417
\(355\) −3.85591 −0.204651
\(356\) 3.05841i 0.162095i
\(357\) 0.133973 0.289803i 0.00709062 0.0153380i
\(358\) 1.79122 + 1.03416i 0.0946688 + 0.0546571i
\(359\) 27.1631 15.6826i 1.43362 0.827698i 0.436221 0.899840i \(-0.356317\pi\)
0.997394 + 0.0721417i \(0.0229834\pi\)
\(360\) 2.22646 + 3.85634i 0.117345 + 0.203247i
\(361\) −11.3575 −0.597765
\(362\) −3.40585 1.96637i −0.179007 0.103350i
\(363\) −4.02669 −0.211346
\(364\) −8.91318 + 14.1155i −0.467178 + 0.739852i
\(365\) −6.89369 −0.360832
\(366\) −2.15707 1.24538i −0.112752 0.0650973i
\(367\) 24.0774 1.25683 0.628415 0.777878i \(-0.283704\pi\)
0.628415 + 0.777878i \(0.283704\pi\)
\(368\) 5.62610 + 9.74470i 0.293281 + 0.507977i
\(369\) −23.8676 + 13.7800i −1.24250 + 0.717358i
\(370\) −0.380608 0.219744i −0.0197869 0.0114240i
\(371\) 0.736720 0.0669084i 0.0382486 0.00347371i
\(372\) 4.23225i 0.219432i
\(373\) −18.3922 −0.952314 −0.476157 0.879360i \(-0.657971\pi\)
−0.476157 + 0.879360i \(0.657971\pi\)
\(374\) 0.281741 0.0145685
\(375\) 7.89436i 0.407663i
\(376\) −4.27160 7.39862i −0.220291 0.381555i
\(377\) −11.6066 27.9650i −0.597771 1.44027i
\(378\) −0.536539 5.90776i −0.0275966 0.303862i
\(379\) −7.04719 + 4.06870i −0.361990 + 0.208995i −0.669953 0.742403i \(-0.733686\pi\)
0.307963 + 0.951398i \(0.400353\pi\)
\(380\) −5.02586 + 8.70504i −0.257821 + 0.446559i
\(381\) −0.852946 1.47735i −0.0436977 0.0756867i
\(382\) −2.80527 1.61962i −0.143530 0.0828671i
\(383\) 22.3711i 1.14311i −0.820564 0.571555i \(-0.806340\pi\)
0.820564 0.571555i \(-0.193660\pi\)
\(384\) 8.36365 + 4.82876i 0.426806 + 0.246417i
\(385\) −4.59164 + 9.93236i −0.234012 + 0.506200i
\(386\) 1.20729 2.09108i 0.0614493 0.106433i
\(387\) −5.49409 + 9.51604i −0.279280 + 0.483727i
\(388\) 4.73012i 0.240136i
\(389\) −10.6973 + 18.5283i −0.542374 + 0.939420i 0.456393 + 0.889778i \(0.349141\pi\)
−0.998767 + 0.0496415i \(0.984192\pi\)
\(390\) −1.58314 0.207288i −0.0801655 0.0104964i
\(391\) −0.623674 −0.0315406
\(392\) 12.3626 + 4.40731i 0.624404 + 0.222603i
\(393\) 5.28886 + 9.16058i 0.266788 + 0.462090i
\(394\) −12.9178 −0.650788
\(395\) −10.7639 6.21456i −0.541592 0.312689i
\(396\) −13.6979 + 7.90851i −0.688347 + 0.397417i
\(397\) 1.19673i 0.0600622i 0.999549 + 0.0300311i \(0.00956063\pi\)
−0.999549 + 0.0300311i \(0.990439\pi\)
\(398\) 8.55708i 0.428928i
\(399\) 10.1217 7.13725i 0.506719 0.357310i
\(400\) −5.01399 8.68449i −0.250699 0.434224i
\(401\) 31.4150 + 18.1375i 1.56879 + 0.905741i 0.996310 + 0.0858220i \(0.0273516\pi\)
0.572479 + 0.819919i \(0.305982\pi\)
\(402\) −1.09266 + 1.89254i −0.0544968 + 0.0943913i
\(403\) 8.14682 + 6.24214i 0.405822 + 0.310943i
\(404\) 10.0383 + 17.3868i 0.499423 + 0.865026i
\(405\) 2.73066 1.57655i 0.135688 0.0783393i
\(406\) −9.07859 + 6.40171i −0.450563 + 0.317711i
\(407\) 1.67259 2.89701i 0.0829072 0.143599i
\(408\) −0.195945 + 0.113129i −0.00970071 + 0.00560071i
\(409\) −12.7066 + 7.33616i −0.628301 + 0.362750i −0.780094 0.625662i \(-0.784829\pi\)
0.151793 + 0.988412i \(0.451495\pi\)
\(410\) 5.46067 3.15272i 0.269683 0.155702i
\(411\) 3.85928 2.22816i 0.190364 0.109907i
\(412\) 3.64834 6.31912i 0.179741 0.311321i
\(413\) 25.8923 + 11.9698i 1.27407 + 0.588993i
\(414\) −4.33150 + 2.50079i −0.212881 + 0.122907i
\(415\) 1.49763 + 2.59397i 0.0735156 + 0.127333i
\(416\) 16.7544 6.95375i 0.821451 0.340936i
\(417\) 8.80975 15.2589i 0.431415 0.747233i
\(418\) 9.46494 + 5.46458i 0.462945 + 0.267282i
\(419\) 2.96674 + 5.13855i 0.144935 + 0.251034i 0.929349 0.369203i \(-0.120369\pi\)
−0.784414 + 0.620238i \(0.787036\pi\)
\(420\) −0.370908 4.08402i −0.0180984 0.199280i
\(421\) 2.63174i 0.128263i −0.997941 0.0641317i \(-0.979572\pi\)
0.997941 0.0641317i \(-0.0204278\pi\)
\(422\) 9.14532i 0.445187i
\(423\) −8.98974 + 5.19023i −0.437096 + 0.252358i
\(424\) −0.454004 0.262119i −0.0220484 0.0127296i
\(425\) 0.555819 0.0269612
\(426\) −0.785606 1.36071i −0.0380628 0.0659266i
\(427\) −8.94010 12.6784i −0.432642 0.613551i
\(428\) 14.8531 0.717952
\(429\) 1.57778 12.0501i 0.0761759 0.581785i
\(430\) 1.25699 2.17717i 0.0606175 0.104993i
\(431\) 18.8377i 0.907378i −0.891160 0.453689i \(-0.850108\pi\)
0.891160 0.453689i \(-0.149892\pi\)
\(432\) 5.74573 9.95190i 0.276442 0.478811i
\(433\) 9.56773 16.5718i 0.459796 0.796389i −0.539154 0.842207i \(-0.681256\pi\)
0.998950 + 0.0458176i \(0.0145893\pi\)
\(434\) 1.58008 3.41794i 0.0758463 0.164066i
\(435\) 6.44119 + 3.71883i 0.308832 + 0.178304i
\(436\) 11.2532i 0.538931i
\(437\) −20.9520 12.0966i −1.00227 0.578660i
\(438\) −1.40452 2.43271i −0.0671108 0.116239i
\(439\) −0.632554 + 1.09561i −0.0301901 + 0.0522908i −0.880726 0.473627i \(-0.842945\pi\)
0.850536 + 0.525918i \(0.176278\pi\)
\(440\) 6.71557 3.87724i 0.320152 0.184840i
\(441\) 5.35512 15.0212i 0.255006 0.715296i
\(442\) −0.0332422 + 0.253884i −0.00158117 + 0.0120760i
\(443\) 10.4696 + 18.1339i 0.497426 + 0.861568i 0.999996 0.00296930i \(-0.000945159\pi\)
−0.502569 + 0.864537i \(0.667612\pi\)
\(444\) 1.25366i 0.0594961i
\(445\) 1.82188 0.0863654
\(446\) −5.75419 −0.272469
\(447\) 0.00966505i 0.000457141i
\(448\) 3.97889 + 5.64267i 0.187985 + 0.266591i
\(449\) 15.4700 + 8.93162i 0.730075 + 0.421509i 0.818450 0.574578i \(-0.194834\pi\)
−0.0883746 + 0.996087i \(0.528167\pi\)
\(450\) 3.86023 2.22871i 0.181973 0.105062i
\(451\) 23.9970 + 41.5640i 1.12997 + 1.95717i
\(452\) 19.1859 0.902429
\(453\) 13.9102 + 8.03104i 0.653557 + 0.377331i
\(454\) 8.95199 0.420138
\(455\) −8.40853 5.30954i −0.394198 0.248915i
\(456\) −8.77687 −0.411015
\(457\) −5.68629 3.28298i −0.265994 0.153571i 0.361072 0.932538i \(-0.382411\pi\)
−0.627066 + 0.778966i \(0.715744\pi\)
\(458\) 1.93170 0.0902624
\(459\) 0.318468 + 0.551603i 0.0148648 + 0.0257466i
\(460\) −6.93744 + 4.00533i −0.323460 + 0.186749i
\(461\) −4.42854 2.55682i −0.206258 0.119083i 0.393313 0.919404i \(-0.371329\pi\)
−0.599571 + 0.800322i \(0.704662\pi\)
\(462\) −4.44053 + 0.403286i −0.206592 + 0.0187625i
\(463\) 33.3239i 1.54869i −0.632761 0.774347i \(-0.718079\pi\)
0.632761 0.774347i \(-0.281921\pi\)
\(464\) −21.5194 −0.999015
\(465\) −2.52113 −0.116915
\(466\) 12.5317i 0.580522i
\(467\) −6.47472 11.2145i −0.299614 0.518947i 0.676433 0.736504i \(-0.263525\pi\)
−0.976048 + 0.217557i \(0.930191\pi\)
\(468\) −5.51035 13.2767i −0.254716 0.613714i
\(469\) −11.1236 + 7.84374i −0.513641 + 0.362190i
\(470\) 2.05676 1.18747i 0.0948713 0.0547740i
\(471\) −8.40840 + 14.5638i −0.387439 + 0.671063i
\(472\) −10.1074 17.5066i −0.465231 0.805805i
\(473\) 16.5716 + 9.56761i 0.761962 + 0.439919i
\(474\) 5.06464i 0.232627i
\(475\) 18.6724 + 10.7805i 0.856750 + 0.494645i
\(476\) −0.654942 + 0.0594814i −0.0300192 + 0.00272633i
\(477\) −0.318489 + 0.551640i −0.0145826 + 0.0252578i
\(478\) −1.95110 + 3.37941i −0.0892414 + 0.154571i
\(479\) 27.0119i 1.23421i −0.786882 0.617104i \(-0.788306\pi\)
0.786882 0.617104i \(-0.211694\pi\)
\(480\) −2.22802 + 3.85905i −0.101695 + 0.176141i
\(481\) 2.41322 + 1.84903i 0.110033 + 0.0843083i
\(482\) 10.8823 0.495677
\(483\) 9.82974 0.892730i 0.447268 0.0406206i
\(484\) 4.14710 + 7.18299i 0.188505 + 0.326499i
\(485\) 2.81771 0.127946
\(486\) 6.93788 + 4.00558i 0.314708 + 0.181697i
\(487\) 27.7854 16.0419i 1.25908 0.726928i 0.286182 0.958175i \(-0.407614\pi\)
0.972895 + 0.231247i \(0.0742805\pi\)
\(488\) 10.9939i 0.497669i
\(489\) 7.58910i 0.343191i
\(490\) −1.22520 + 3.43670i −0.0553488 + 0.155254i
\(491\) −14.3020 24.7718i −0.645440 1.11793i −0.984200 0.177061i \(-0.943341\pi\)
0.338760 0.940873i \(-0.389992\pi\)
\(492\) −15.5768 8.99328i −0.702257 0.405448i
\(493\) 0.596378 1.03296i 0.0268595 0.0465220i
\(494\) −6.04103 + 7.88433i −0.271799 + 0.354733i
\(495\) −4.71106 8.15980i −0.211746 0.366756i
\(496\) 6.31716 3.64721i 0.283649 0.163765i
\(497\) −0.885125 9.74601i −0.0397033 0.437168i
\(498\) −0.610255 + 1.05699i −0.0273462 + 0.0473650i
\(499\) −1.55726 + 0.899082i −0.0697123 + 0.0402484i −0.534451 0.845199i \(-0.679482\pi\)
0.464739 + 0.885448i \(0.346148\pi\)
\(500\) 14.0823 8.13042i 0.629780 0.363603i
\(501\) 4.51376 2.60602i 0.201660 0.116428i
\(502\) 3.32536 1.91990i 0.148418 0.0856893i
\(503\) −14.5386 + 25.1816i −0.648245 + 1.12279i 0.335297 + 0.942112i \(0.391163\pi\)
−0.983542 + 0.180681i \(0.942170\pi\)
\(504\) −9.23600 + 6.51270i −0.411404 + 0.290099i
\(505\) −10.3572 + 5.97976i −0.460891 + 0.266096i
\(506\) 4.35497 + 7.54303i 0.193602 + 0.335329i
\(507\) 10.6725 + 2.84355i 0.473982 + 0.126287i
\(508\) −1.75690 + 3.04304i −0.0779499 + 0.135013i
\(509\) 20.0843 + 11.5957i 0.890220 + 0.513969i 0.874014 0.485900i \(-0.161508\pi\)
0.0162054 + 0.999869i \(0.494841\pi\)
\(510\) −0.0314489 0.0544711i −0.00139258 0.00241202i
\(511\) −1.58245 17.4241i −0.0700033 0.770798i
\(512\) 22.5022i 0.994464i
\(513\) 24.7077i 1.09087i
\(514\) 5.89910 3.40585i 0.260198 0.150225i
\(515\) 3.76427 + 2.17330i 0.165874 + 0.0957671i
\(516\) −7.17125 −0.315696
\(517\) 9.03847 + 15.6551i 0.397511 + 0.688510i
\(518\) 0.468046 1.01245i 0.0205648 0.0444844i
\(519\) −20.6137 −0.904840
\(520\) 2.70151 + 6.50904i 0.118469 + 0.285440i
\(521\) −16.6255 + 28.7962i −0.728376 + 1.26158i 0.229193 + 0.973381i \(0.426391\pi\)
−0.957569 + 0.288203i \(0.906942\pi\)
\(522\) 9.56535i 0.418664i
\(523\) −19.3560 + 33.5256i −0.846380 + 1.46597i 0.0380367 + 0.999276i \(0.487890\pi\)
−0.884417 + 0.466697i \(0.845444\pi\)
\(524\) 10.8940 18.8690i 0.475908 0.824296i
\(525\) −8.76027 + 0.795602i −0.382330 + 0.0347229i
\(526\) −5.07614 2.93071i −0.221330 0.127785i
\(527\) 0.404307i 0.0176119i
\(528\) −7.48028 4.31874i −0.325537 0.187949i
\(529\) 1.85966 + 3.22102i 0.0808546 + 0.140044i
\(530\) 0.0728671 0.126210i 0.00316514 0.00548219i
\(531\) −21.2714 + 12.2811i −0.923102 + 0.532953i
\(532\) −23.1561 10.7049i −1.00394 0.464115i
\(533\) −40.2857 + 16.7202i −1.74497 + 0.724233i
\(534\) 0.371191 + 0.642922i 0.0160630 + 0.0278220i
\(535\) 8.84793i 0.382529i
\(536\) 9.64566 0.416629
\(537\) 3.51459 0.151666
\(538\) 4.59926i 0.198288i
\(539\) −26.1585 9.32562i −1.12673 0.401683i
\(540\) 7.08495 + 4.09050i 0.304888 + 0.176027i
\(541\) 19.6306 11.3337i 0.843986 0.487275i −0.0146313 0.999893i \(-0.504657\pi\)
0.858617 + 0.512618i \(0.171324\pi\)
\(542\) 0.640905 + 1.11008i 0.0275292 + 0.0476820i
\(543\) −6.68269 −0.286782
\(544\) 0.618865 + 0.357302i 0.0265336 + 0.0153192i
\(545\) −6.70349 −0.287146
\(546\) 0.160520 4.04905i 0.00686964 0.173283i
\(547\) −9.21134 −0.393848 −0.196924 0.980419i \(-0.563095\pi\)
−0.196924 + 0.980419i \(0.563095\pi\)
\(548\) −7.94936 4.58957i −0.339580 0.196057i
\(549\) 13.3582 0.570113
\(550\) −3.88116 6.72236i −0.165493 0.286642i
\(551\) 40.0699 23.1344i 1.70704 0.985558i
\(552\) −6.05757 3.49734i −0.257827 0.148857i
\(553\) 13.2367 28.6329i 0.562884 1.21760i
\(554\) 0.466928i 0.0198379i
\(555\) −0.746801 −0.0316999
\(556\) −36.2927 −1.53915
\(557\) 11.3281i 0.479986i −0.970775 0.239993i \(-0.922855\pi\)
0.970775 0.239993i \(-0.0771451\pi\)
\(558\) 1.62118 + 2.80796i 0.0686299 + 0.118871i
\(559\) −10.5769 + 13.8042i −0.447354 + 0.583855i
\(560\) −5.77627 + 4.07310i −0.244092 + 0.172120i
\(561\) 0.414608 0.239374i 0.0175048 0.0101064i
\(562\) −1.61318 + 2.79411i −0.0680478 + 0.117862i
\(563\) 16.3193 + 28.2659i 0.687777 + 1.19127i 0.972555 + 0.232672i \(0.0747469\pi\)
−0.284778 + 0.958594i \(0.591920\pi\)
\(564\) −5.86700 3.38732i −0.247045 0.142632i
\(565\) 11.4290i 0.480820i
\(566\) −9.60161 5.54349i −0.403586 0.233010i
\(567\) 4.61162 + 6.53998i 0.193670 + 0.274653i
\(568\) −3.46755 + 6.00597i −0.145495 + 0.252005i
\(569\) 17.5045 30.3188i 0.733829 1.27103i −0.221407 0.975182i \(-0.571065\pi\)
0.955235 0.295847i \(-0.0956019\pi\)
\(570\) 2.43990i 0.102196i
\(571\) 13.1273 22.7371i 0.549360 0.951519i −0.448959 0.893552i \(-0.648205\pi\)
0.998319 0.0579663i \(-0.0184616\pi\)
\(572\) −23.1205 + 9.59594i −0.966716 + 0.401226i
\(573\) −5.50428 −0.229945
\(574\) 9.22215 + 13.0784i 0.384925 + 0.545882i
\(575\) 8.59149 + 14.8809i 0.358290 + 0.620576i
\(576\) −5.94520 −0.247717
\(577\) −21.2806 12.2863i −0.885922 0.511487i −0.0133154 0.999911i \(-0.504239\pi\)
−0.872606 + 0.488424i \(0.837572\pi\)
\(578\) 7.35228 4.24484i 0.305815 0.176562i
\(579\) 4.10296i 0.170513i
\(580\) 15.3201i 0.636133i
\(581\) −6.21259 + 4.38077i −0.257742 + 0.181745i
\(582\) 0.574083 + 0.994341i 0.0237965 + 0.0412167i
\(583\) 0.960646 + 0.554629i 0.0397859 + 0.0229704i
\(584\) −6.19936 + 10.7376i −0.256531 + 0.444325i
\(585\) 7.90885 3.28249i 0.326991 0.135714i
\(586\) −6.05048 10.4797i −0.249943 0.432914i
\(587\) 17.7777 10.2640i 0.733765 0.423639i −0.0860331 0.996292i \(-0.527419\pi\)
0.819798 + 0.572653i \(0.194086\pi\)
\(588\) 10.2374 1.87497i 0.422184 0.0773226i
\(589\) −7.84184 + 13.5825i −0.323117 + 0.559656i
\(590\) 4.86669 2.80978i 0.200358 0.115677i
\(591\) −19.0097 + 10.9752i −0.781954 + 0.451461i
\(592\) 1.87124 1.08036i 0.0769077 0.0444027i
\(593\) −33.1545 + 19.1417i −1.36149 + 0.786057i −0.989822 0.142308i \(-0.954548\pi\)
−0.371669 + 0.928365i \(0.621214\pi\)
\(594\) 4.44757 7.70342i 0.182486 0.316075i
\(595\) −0.0354328 0.390146i −0.00145260 0.0159944i
\(596\) 0.0172409 0.00995405i 0.000706216 0.000407734i
\(597\) 7.27030 + 12.5925i 0.297554 + 0.515378i
\(598\) −7.31105 + 3.03438i −0.298971 + 0.124085i
\(599\) −7.03567 + 12.1861i −0.287470 + 0.497912i −0.973205 0.229939i \(-0.926147\pi\)
0.685735 + 0.727851i \(0.259481\pi\)
\(600\) 5.39851 + 3.11683i 0.220393 + 0.127244i
\(601\) 10.1171 + 17.5233i 0.412685 + 0.714791i 0.995182 0.0980417i \(-0.0312579\pi\)
−0.582498 + 0.812832i \(0.697925\pi\)
\(602\) 5.79145 + 2.67734i 0.236042 + 0.109120i
\(603\) 11.7200i 0.477276i
\(604\) 33.0847i 1.34620i
\(605\) −4.27887 + 2.47041i −0.173961 + 0.100436i
\(606\) −4.22039 2.43664i −0.171441 0.0989818i
\(607\) 6.55127 0.265908 0.132954 0.991122i \(-0.457554\pi\)
0.132954 + 0.991122i \(0.457554\pi\)
\(608\) 13.8603 + 24.0067i 0.562108 + 0.973600i
\(609\) −7.92094 + 17.1341i −0.320973 + 0.694308i
\(610\) −3.05621 −0.123742
\(611\) −15.1736 + 6.29767i −0.613859 + 0.254776i
\(612\) 0.283136 0.490406i 0.0114451 0.0198235i
\(613\) 33.3244i 1.34596i −0.739660 0.672980i \(-0.765014\pi\)
0.739660 0.672980i \(-0.234986\pi\)
\(614\) −6.07294 + 10.5186i −0.245084 + 0.424498i
\(615\) 5.35726 9.27904i 0.216025 0.374167i
\(616\) 11.3415 + 16.0839i 0.456961 + 0.648040i
\(617\) 5.85466 + 3.38019i 0.235700 + 0.136081i 0.613199 0.789929i \(-0.289883\pi\)
−0.377499 + 0.926010i \(0.623216\pi\)
\(618\) 1.77116i 0.0712466i
\(619\) −15.2582 8.80931i −0.613278 0.354076i 0.160970 0.986959i \(-0.448538\pi\)
−0.774247 + 0.632883i \(0.781871\pi\)
\(620\) 2.59652 + 4.49731i 0.104279 + 0.180616i
\(621\) −9.84534 + 17.0526i −0.395080 + 0.684298i
\(622\) 1.72642 0.996751i 0.0692233 0.0399661i
\(623\) 0.418213 + 4.60489i 0.0167554 + 0.184491i
\(624\) 4.77431 6.23110i 0.191125 0.249444i
\(625\) −4.93986 8.55609i −0.197594 0.342244i
\(626\) 14.2373i 0.569038i
\(627\) 18.5714 0.741669
\(628\) 34.6393 1.38226
\(629\) 0.119762i 0.00477524i
\(630\) −1.81048 2.56754i −0.0721313 0.102293i
\(631\) 13.6416 + 7.87596i 0.543062 + 0.313537i 0.746319 0.665588i \(-0.231819\pi\)
−0.203257 + 0.979125i \(0.565153\pi\)
\(632\) −19.3596 + 11.1773i −0.770084 + 0.444608i
\(633\) −7.77009 13.4582i −0.308833 0.534915i
\(634\) 8.40783 0.333918
\(635\) −1.81273 1.04658i −0.0719359 0.0415322i
\(636\) −0.415713 −0.0164841
\(637\) 11.4899 22.4718i 0.455248 0.890364i
\(638\) −16.6575 −0.659475
\(639\) 7.29759 + 4.21327i 0.288688 + 0.166674i
\(640\) 11.8499 0.468410
\(641\) −10.4702 18.1350i −0.413550 0.716289i 0.581725 0.813385i \(-0.302378\pi\)
−0.995275 + 0.0970962i \(0.969045\pi\)
\(642\) −3.12234 + 1.80268i −0.123229 + 0.0711463i
\(643\) −16.3952 9.46576i −0.646563 0.373293i 0.140575 0.990070i \(-0.455105\pi\)
−0.787138 + 0.616777i \(0.788438\pi\)
\(644\) −11.7162 16.6153i −0.461681 0.654734i
\(645\) 4.27188i 0.168205i
\(646\) −0.391280 −0.0153947
\(647\) 37.6768 1.48123 0.740614 0.671930i \(-0.234535\pi\)
0.740614 + 0.671930i \(0.234535\pi\)
\(648\) 5.67104i 0.222779i
\(649\) 21.3867 + 37.0429i 0.839503 + 1.45406i
\(650\) 6.51562 2.70424i 0.255563 0.106069i
\(651\) −0.578727 6.37229i −0.0226821 0.249750i
\(652\) 13.5378 7.81604i 0.530180 0.306100i
\(653\) −14.5163 + 25.1430i −0.568066 + 0.983920i 0.428691 + 0.903451i \(0.358975\pi\)
−0.996757 + 0.0804686i \(0.974358\pi\)
\(654\) −1.36577 2.36559i −0.0534060 0.0925019i
\(655\) 11.2402 + 6.48952i 0.439190 + 0.253567i
\(656\) 31.0004i 1.21036i
\(657\) 13.0468 + 7.53257i 0.509004 + 0.293874i
\(658\) 3.47352 + 4.92598i 0.135412 + 0.192035i
\(659\) 0.709152 1.22829i 0.0276247 0.0478473i −0.851883 0.523733i \(-0.824539\pi\)
0.879507 + 0.475886i \(0.157872\pi\)
\(660\) 3.07459 5.32535i 0.119678 0.207289i
\(661\) 4.59298i 0.178646i 0.996003 + 0.0893231i \(0.0284704\pi\)
−0.996003 + 0.0893231i \(0.971530\pi\)
\(662\) −1.55225 + 2.68858i −0.0603300 + 0.104495i
\(663\) 0.166787 + 0.401857i 0.00647747 + 0.0156068i
\(664\) 5.38715 0.209062
\(665\) 6.37684 13.7940i 0.247283 0.534908i
\(666\) 0.480219 + 0.831764i 0.0186081 + 0.0322302i
\(667\) 36.8736 1.42775
\(668\) −9.29746 5.36789i −0.359730 0.207690i
\(669\) −8.46782 + 4.88890i −0.327385 + 0.189016i
\(670\) 2.68142i 0.103592i
\(671\) 23.2624i 0.898036i
\(672\) −10.2654 4.74559i −0.395996 0.183065i
\(673\) −2.10111 3.63924i −0.0809920 0.140282i 0.822684 0.568499i \(-0.192475\pi\)
−0.903676 + 0.428216i \(0.859142\pi\)
\(674\) 3.33259 + 1.92407i 0.128367 + 0.0741126i
\(675\) 8.77418 15.1973i 0.337718 0.584945i
\(676\) −5.91919 21.9666i −0.227661 0.844871i
\(677\) −4.04354 7.00361i −0.155406 0.269171i 0.777801 0.628511i \(-0.216335\pi\)
−0.933207 + 0.359340i \(0.883002\pi\)
\(678\) −4.03316 + 2.32854i −0.154892 + 0.0894272i
\(679\) 0.646806 + 7.12191i 0.0248222 + 0.273314i
\(680\) −0.138811 + 0.240427i −0.00532315 + 0.00921997i
\(681\) 13.1737 7.60583i 0.504817 0.291456i
\(682\) 4.88989 2.82318i 0.187244 0.108105i
\(683\) 21.3792 12.3433i 0.818051 0.472302i −0.0316929 0.999498i \(-0.510090\pi\)
0.849744 + 0.527196i \(0.176757\pi\)
\(684\) 19.0236 10.9833i 0.727386 0.419956i
\(685\) 2.73398 4.73540i 0.104460 0.180930i
\(686\) −8.96768 2.30785i −0.342388 0.0881142i
\(687\) 2.84267 1.64122i 0.108455 0.0626164i
\(688\) 6.17994 + 10.7040i 0.235608 + 0.408085i
\(689\) −0.613136 + 0.800222i −0.0233586 + 0.0304860i
\(690\) 0.972234 1.68396i 0.0370123 0.0641072i
\(691\) −9.74859 5.62835i −0.370854 0.214113i 0.302978 0.952998i \(-0.402019\pi\)
−0.673831 + 0.738885i \(0.735353\pi\)
\(692\) 21.2301 + 36.7716i 0.807047 + 1.39785i
\(693\) 19.5429 13.7805i 0.742372 0.523479i
\(694\) 15.2043i 0.577147i
\(695\) 21.6194i 0.820071i
\(696\) 11.5849 6.68854i 0.439124 0.253528i
\(697\) −1.48805 0.859128i −0.0563640 0.0325418i
\(698\) −8.07884 −0.305789
\(699\) 10.6473 + 18.4416i 0.402717 + 0.697526i
\(700\) 10.4415 + 14.8076i 0.394650 + 0.559673i
\(701\) 22.2305 0.839635 0.419818 0.907608i \(-0.362094\pi\)
0.419818 + 0.907608i \(0.362094\pi\)
\(702\) 6.41698 + 4.91673i 0.242193 + 0.185570i
\(703\) −2.32288 + 4.02335i −0.0876091 + 0.151743i
\(704\) 10.3532i 0.390201i
\(705\) 2.01781 3.49495i 0.0759951 0.131627i
\(706\) −2.96052 + 5.12776i −0.111420 + 0.192986i
\(707\) −17.4916 24.8058i −0.657841 0.932918i
\(708\) −13.8825 8.01504i −0.521734 0.301224i
\(709\) 23.7741i 0.892854i 0.894820 + 0.446427i \(0.147304\pi\)
−0.894820 + 0.446427i \(0.852696\pi\)
\(710\) −1.66961 0.963952i −0.0626595 0.0361765i
\(711\) 13.5810 + 23.5230i 0.509328 + 0.882182i
\(712\) 1.63838 2.83776i 0.0614010 0.106350i
\(713\) −10.8245 + 6.24951i −0.405380 + 0.234046i
\(714\) 0.130459 0.0919926i 0.00488232 0.00344274i
\(715\) −5.71626 13.7728i −0.213776 0.515072i
\(716\) −3.61969 6.26948i −0.135274 0.234301i
\(717\) 6.63082i 0.247632i
\(718\) 15.6822 0.585255
\(719\) −20.7808 −0.774992 −0.387496 0.921871i \(-0.626660\pi\)
−0.387496 + 0.921871i \(0.626660\pi\)
\(720\) 6.08597i 0.226811i
\(721\) −4.62904 + 10.0133i −0.172394 + 0.372913i
\(722\) −4.91782 2.83931i −0.183022 0.105668i
\(723\) 16.0144 9.24589i 0.595580 0.343859i
\(724\) 6.88252 + 11.9209i 0.255787 + 0.443036i
\(725\) −32.8618 −1.22046
\(726\) −1.74356 1.00665i −0.0647097 0.0373601i
\(727\) −26.7719 −0.992915 −0.496457 0.868061i \(-0.665366\pi\)
−0.496457 + 0.868061i \(0.665366\pi\)
\(728\) −15.8318 + 8.32236i −0.586765 + 0.308447i
\(729\) 4.53910 0.168115
\(730\) −2.98497 1.72338i −0.110479 0.0637850i
\(731\) −0.685069 −0.0253382
\(732\) 4.35899 + 7.55000i 0.161113 + 0.279056i
\(733\) −4.55224 + 2.62824i −0.168141 + 0.0970761i −0.581709 0.813397i \(-0.697616\pi\)
0.413568 + 0.910473i \(0.364282\pi\)
\(734\) 10.4255 + 6.01919i 0.384814 + 0.222172i
\(735\) 1.11691 + 6.09838i 0.0411980 + 0.224942i
\(736\) 22.0917i 0.814312i
\(737\) −20.4097 −0.751800
\(738\) −13.7796 −0.507235
\(739\) 7.15001i 0.263017i −0.991315 0.131509i \(-0.958018\pi\)
0.991315 0.131509i \(-0.0419821\pi\)
\(740\) 0.769132 + 1.33218i 0.0282738 + 0.0489717i
\(741\) −2.19121 + 16.7351i −0.0804960 + 0.614780i
\(742\) 0.335727 + 0.155204i 0.0123249 + 0.00569771i
\(743\) −0.618032 + 0.356821i −0.0226734 + 0.0130905i −0.511294 0.859406i \(-0.670834\pi\)
0.488620 + 0.872496i \(0.337500\pi\)
\(744\) −2.26721 + 3.92692i −0.0831198 + 0.143968i
\(745\) 0.00592959 + 0.0102703i 0.000217243 + 0.000376276i
\(746\) −7.96386 4.59794i −0.291578 0.168342i
\(747\) 6.54569i 0.239494i
\(748\) −0.854012 0.493064i −0.0312258 0.0180282i
\(749\) −22.3636 + 2.03104i −0.817147 + 0.0742127i
\(750\) −1.97354 + 3.41827i −0.0720634 + 0.124817i
\(751\) −12.8507 + 22.2580i −0.468927 + 0.812205i −0.999369 0.0355158i \(-0.988693\pi\)
0.530442 + 0.847721i \(0.322026\pi\)
\(752\) 11.6763i 0.425791i
\(753\) 3.26238 5.65062i 0.118888 0.205920i
\(754\) 1.96539 15.0104i 0.0715752 0.546648i
\(755\) 19.7084 0.717263
\(756\) −8.71259 + 18.8465i −0.316874 + 0.685442i
\(757\) −8.19425 14.1928i −0.297825 0.515848i 0.677813 0.735234i \(-0.262928\pi\)
−0.975638 + 0.219386i \(0.929594\pi\)
\(758\) −4.06859 −0.147778
\(759\) 12.8175 + 7.40018i 0.465245 + 0.268609i
\(760\) −9.32654 + 5.38468i −0.338309 + 0.195323i
\(761\) 8.31998i 0.301599i 0.988564 + 0.150800i \(0.0481848\pi\)
−0.988564 + 0.150800i \(0.951815\pi\)
\(762\) 0.852923i 0.0308981i
\(763\) −1.53879 16.9434i −0.0557079 0.613392i
\(764\) 5.66888 + 9.81878i 0.205093 + 0.355231i
\(765\) 0.292133 + 0.168663i 0.0105621 + 0.00609802i
\(766\) 5.59263 9.68671i 0.202070 0.349995i
\(767\) −35.9037 + 14.9015i −1.29641 + 0.538061i
\(768\) 0.197167 + 0.341504i 0.00711466 + 0.0123230i
\(769\) 22.1346 12.7794i 0.798194 0.460838i −0.0446452 0.999003i \(-0.514216\pi\)
0.842839 + 0.538165i \(0.180882\pi\)
\(770\) −4.47121 + 3.15284i −0.161131 + 0.113621i
\(771\) 5.78738 10.0240i 0.208427 0.361007i
\(772\) −7.31905 + 4.22565i −0.263418 + 0.152085i
\(773\) 7.27528 4.20038i 0.261674 0.151077i −0.363424 0.931624i \(-0.618392\pi\)
0.625098 + 0.780546i \(0.285059\pi\)
\(774\) −4.75789 + 2.74697i −0.171019 + 0.0987378i