Properties

Label 690.2.n.a.89.16
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.16
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.748393 + 1.56202i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.64573 + 1.51379i) q^{5} +(1.43961 - 0.963074i) q^{6} +(1.66558 - 1.07040i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.87982 + 2.33801i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.748393 + 1.56202i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-1.64573 + 1.51379i) q^{5} +(1.43961 - 0.963074i) q^{6} +(1.66558 - 1.07040i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.87982 + 2.33801i) q^{9} +(1.73260 + 1.41354i) q^{10} +(0.163968 - 1.14042i) q^{11} +(-1.15815 - 1.28790i) q^{12} +(-3.31360 + 5.15606i) q^{13} +(-1.29654 - 1.49629i) q^{14} +(-3.59623 - 1.43775i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-0.599806 + 2.04275i) q^{17} +(2.58174 + 1.52795i) q^{18} +(-0.290163 - 0.988203i) q^{19} +(1.15258 - 1.91613i) q^{20} +(2.91849 + 1.80058i) q^{21} -1.15215 q^{22} +(-4.69475 + 0.979447i) q^{23} +(-1.10997 + 1.32965i) q^{24} +(0.416853 - 4.98259i) q^{25} +(5.57516 + 2.54609i) q^{26} +(-5.05886 - 1.18656i) q^{27} +(-1.29654 + 1.49629i) q^{28} +(-0.730713 + 2.48858i) q^{29} +(-0.911320 + 3.76424i) q^{30} +(-2.50579 - 5.48692i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.90408 - 0.597363i) q^{33} +(2.10732 + 0.302987i) q^{34} +(-1.12072 + 4.28293i) q^{35} +(1.14498 - 2.77291i) q^{36} +(5.56307 + 6.42013i) q^{37} +(-0.936850 + 0.427845i) q^{38} +(-10.5337 - 1.31715i) q^{39} +(-2.06066 - 0.868156i) q^{40} +(2.34577 + 2.03262i) q^{41} +(1.36691 - 3.14504i) q^{42} +(-5.08716 + 11.1393i) q^{43} +(0.163968 + 1.14042i) q^{44} +(-0.445595 - 6.69339i) q^{45} +(1.63761 + 4.50757i) q^{46} -4.55049 q^{47} +(1.47408 + 0.909444i) q^{48} +(-1.27952 + 2.80176i) q^{49} +(-4.99120 + 0.296487i) q^{50} +(-3.63971 + 0.591871i) q^{51} +(1.72675 - 5.88075i) q^{52} +(2.42234 + 3.76924i) q^{53} +(-0.454536 + 5.17623i) q^{54} +(1.45652 + 2.12505i) q^{55} +(1.66558 + 1.07040i) q^{56} +(1.32644 - 1.19280i) q^{57} +(2.56724 + 0.369114i) q^{58} +(3.10824 - 4.83651i) q^{59} +(3.85562 + 0.366337i) q^{60} +(-9.92774 + 4.53385i) q^{61} +(-5.07446 + 3.26115i) q^{62} +(-0.628371 + 5.90629i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-2.35193 - 13.5016i) q^{65} +(-0.862262 - 1.79969i) q^{66} +(0.884738 + 6.15349i) q^{67} -2.12899i q^{68} +(-5.04343 - 6.60029i) q^{69} +(4.39883 + 0.499790i) q^{70} +(12.3693 - 1.77844i) q^{71} +(-2.90763 - 0.738698i) q^{72} +(-0.762867 - 2.59809i) q^{73} +(5.56307 - 6.42013i) q^{74} +(8.09488 - 3.07780i) q^{75} +(0.556818 + 0.866426i) q^{76} +(-0.947610 - 2.07498i) q^{77} +(0.195363 + 10.6140i) q^{78} +(6.33604 - 9.85907i) q^{79} +(-0.566057 + 2.16323i) q^{80} +(-1.93258 - 8.79006i) q^{81} +(1.67810 - 2.61117i) q^{82} +(12.6878 - 10.9940i) q^{83} +(-3.30756 - 0.905414i) q^{84} +(-2.10519 - 4.26980i) q^{85} +(11.7499 + 3.45009i) q^{86} +(-4.43407 + 0.721046i) q^{87} +(1.10548 - 0.324599i) q^{88} +(-4.37896 + 9.58859i) q^{89} +(-6.56184 + 1.39363i) q^{90} +12.1347i q^{91} +(4.22864 - 2.26244i) q^{92} +(6.69536 - 8.02046i) q^{93} +(0.647602 + 4.50417i) q^{94} +(1.97347 + 1.18707i) q^{95} +(0.690404 - 1.58850i) q^{96} +(4.00396 - 4.62082i) q^{97} +(2.95533 + 0.867764i) q^{98} +(2.35809 + 2.52715i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.748393 + 1.56202i 0.432085 + 0.901833i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −1.64573 + 1.51379i −0.735993 + 0.676989i
\(6\) 1.43961 0.963074i 0.587720 0.393173i
\(7\) 1.66558 1.07040i 0.629529 0.404574i −0.186606 0.982435i \(-0.559749\pi\)
0.816135 + 0.577861i \(0.196113\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −1.87982 + 2.33801i −0.626606 + 0.779336i
\(10\) 1.73260 + 1.41354i 0.547896 + 0.447002i
\(11\) 0.163968 1.14042i 0.0494383 0.343851i −0.950057 0.312077i \(-0.898975\pi\)
0.999495 0.0317739i \(-0.0101156\pi\)
\(12\) −1.15815 1.28790i −0.334329 0.371785i
\(13\) −3.31360 + 5.15606i −0.919027 + 1.43003i −0.0162778 + 0.999868i \(0.505182\pi\)
−0.902749 + 0.430167i \(0.858455\pi\)
\(14\) −1.29654 1.49629i −0.346515 0.399900i
\(15\) −3.59623 1.43775i −0.928543 0.371226i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −0.599806 + 2.04275i −0.145474 + 0.495440i −0.999701 0.0244610i \(-0.992213\pi\)
0.854226 + 0.519901i \(0.174031\pi\)
\(18\) 2.58174 + 1.52795i 0.608521 + 0.360141i
\(19\) −0.290163 0.988203i −0.0665679 0.226709i 0.919490 0.393114i \(-0.128602\pi\)
−0.986058 + 0.166405i \(0.946784\pi\)
\(20\) 1.15258 1.91613i 0.257725 0.428460i
\(21\) 2.91849 + 1.80058i 0.636867 + 0.392920i
\(22\) −1.15215 −0.245640
\(23\) −4.69475 + 0.979447i −0.978923 + 0.204229i
\(24\) −1.10997 + 1.32965i −0.226572 + 0.271413i
\(25\) 0.416853 4.98259i 0.0833706 0.996519i
\(26\) 5.57516 + 2.54609i 1.09338 + 0.499329i
\(27\) −5.05886 1.18656i −0.973578 0.228354i
\(28\) −1.29654 + 1.49629i −0.245023 + 0.282772i
\(29\) −0.730713 + 2.48858i −0.135690 + 0.462118i −0.999101 0.0423827i \(-0.986505\pi\)
0.863411 + 0.504500i \(0.168323\pi\)
\(30\) −0.911320 + 3.76424i −0.166384 + 0.687253i
\(31\) −2.50579 5.48692i −0.450053 0.985479i −0.989643 0.143551i \(-0.954148\pi\)
0.539590 0.841928i \(-0.318579\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.90408 0.597363i 0.331458 0.103988i
\(34\) 2.10732 + 0.302987i 0.361403 + 0.0519619i
\(35\) −1.12072 + 4.28293i −0.189437 + 0.723947i
\(36\) 1.14498 2.77291i 0.190830 0.462152i
\(37\) 5.56307 + 6.42013i 0.914563 + 1.05546i 0.998260 + 0.0589712i \(0.0187820\pi\)
−0.0836962 + 0.996491i \(0.526673\pi\)
\(38\) −0.936850 + 0.427845i −0.151977 + 0.0694057i
\(39\) −10.5337 1.31715i −1.68675 0.210913i
\(40\) −2.06066 0.868156i −0.325818 0.137267i
\(41\) 2.34577 + 2.03262i 0.366348 + 0.317442i 0.818509 0.574494i \(-0.194801\pi\)
−0.452161 + 0.891936i \(0.649347\pi\)
\(42\) 1.36691 3.14504i 0.210919 0.485290i
\(43\) −5.08716 + 11.1393i −0.775785 + 1.69873i −0.0623041 + 0.998057i \(0.519845\pi\)
−0.713481 + 0.700675i \(0.752882\pi\)
\(44\) 0.163968 + 1.14042i 0.0247192 + 0.171925i
\(45\) −0.445595 6.69339i −0.0664253 0.997791i
\(46\) 1.63761 + 4.50757i 0.241453 + 0.664606i
\(47\) −4.55049 −0.663757 −0.331879 0.943322i \(-0.607682\pi\)
−0.331879 + 0.943322i \(0.607682\pi\)
\(48\) 1.47408 + 0.909444i 0.212765 + 0.131267i
\(49\) −1.27952 + 2.80176i −0.182788 + 0.400251i
\(50\) −4.99120 + 0.296487i −0.705863 + 0.0419296i
\(51\) −3.63971 + 0.591871i −0.509662 + 0.0828785i
\(52\) 1.72675 5.88075i 0.239456 0.815514i
\(53\) 2.42234 + 3.76924i 0.332734 + 0.517745i 0.966800 0.255534i \(-0.0822514\pi\)
−0.634066 + 0.773279i \(0.718615\pi\)
\(54\) −0.454536 + 5.17623i −0.0618545 + 0.704396i
\(55\) 1.45652 + 2.12505i 0.196397 + 0.286541i
\(56\) 1.66558 + 1.07040i 0.222572 + 0.143038i
\(57\) 1.32644 1.19280i 0.175691 0.157991i
\(58\) 2.56724 + 0.369114i 0.337095 + 0.0484670i
\(59\) 3.10824 4.83651i 0.404658 0.629660i −0.577793 0.816184i \(-0.696086\pi\)
0.982450 + 0.186524i \(0.0597221\pi\)
\(60\) 3.85562 + 0.366337i 0.497758 + 0.0472939i
\(61\) −9.92774 + 4.53385i −1.27112 + 0.580499i −0.932753 0.360516i \(-0.882601\pi\)
−0.338363 + 0.941016i \(0.609873\pi\)
\(62\) −5.07446 + 3.26115i −0.644457 + 0.414167i
\(63\) −0.628371 + 5.90629i −0.0791674 + 0.744123i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −2.35193 13.5016i −0.291721 1.67467i
\(66\) −0.862262 1.79969i −0.106137 0.221526i
\(67\) 0.884738 + 6.15349i 0.108088 + 0.751768i 0.969717 + 0.244230i \(0.0785352\pi\)
−0.861629 + 0.507538i \(0.830556\pi\)
\(68\) 2.12899i 0.258178i
\(69\) −5.04343 6.60029i −0.607158 0.794581i
\(70\) 4.39883 + 0.499790i 0.525761 + 0.0597363i
\(71\) 12.3693 1.77844i 1.46797 0.211062i 0.638501 0.769621i \(-0.279555\pi\)
0.829465 + 0.558559i \(0.188646\pi\)
\(72\) −2.90763 0.738698i −0.342668 0.0870563i
\(73\) −0.762867 2.59809i −0.0892868 0.304083i 0.902727 0.430214i \(-0.141562\pi\)
−0.992014 + 0.126131i \(0.959744\pi\)
\(74\) 5.56307 6.42013i 0.646694 0.746325i
\(75\) 8.09488 3.07780i 0.934717 0.355394i
\(76\) 0.556818 + 0.866426i 0.0638714 + 0.0993859i
\(77\) −0.947610 2.07498i −0.107990 0.236465i
\(78\) 0.195363 + 10.6140i 0.0221205 + 1.20180i
\(79\) 6.33604 9.85907i 0.712860 1.10923i −0.276111 0.961126i \(-0.589046\pi\)
0.988971 0.148107i \(-0.0473179\pi\)
\(80\) −0.566057 + 2.16323i −0.0632871 + 0.241857i
\(81\) −1.93258 8.79006i −0.214731 0.976673i
\(82\) 1.67810 2.61117i 0.185315 0.288355i
\(83\) 12.6878 10.9940i 1.39266 1.20675i 0.441809 0.897109i \(-0.354337\pi\)
0.950854 0.309640i \(-0.100208\pi\)
\(84\) −3.30756 0.905414i −0.360884 0.0987887i
\(85\) −2.10519 4.26980i −0.228340 0.463125i
\(86\) 11.7499 + 3.45009i 1.26703 + 0.372033i
\(87\) −4.43407 + 0.721046i −0.475383 + 0.0773042i
\(88\) 1.10548 0.324599i 0.117845 0.0346023i
\(89\) −4.37896 + 9.58859i −0.464169 + 1.01639i 0.522348 + 0.852732i \(0.325056\pi\)
−0.986517 + 0.163656i \(0.947671\pi\)
\(90\) −6.56184 + 1.39363i −0.691679 + 0.146901i
\(91\) 12.1347i 1.27206i
\(92\) 4.22864 2.26244i 0.440866 0.235875i
\(93\) 6.69536 8.02046i 0.694277 0.831683i
\(94\) 0.647602 + 4.50417i 0.0667951 + 0.464570i
\(95\) 1.97347 + 1.18707i 0.202473 + 0.121791i
\(96\) 0.690404 1.58850i 0.0704640 0.162126i
\(97\) 4.00396 4.62082i 0.406541 0.469173i −0.515149 0.857101i \(-0.672263\pi\)
0.921690 + 0.387927i \(0.126809\pi\)
\(98\) 2.95533 + 0.867764i 0.298534 + 0.0876574i
\(99\) 2.35809 + 2.52715i 0.236997 + 0.253988i
\(100\) 1.00379 + 4.89820i 0.100379 + 0.489820i
\(101\) 2.19700 1.90371i 0.218609 0.189426i −0.538671 0.842516i \(-0.681073\pi\)
0.757280 + 0.653090i \(0.226528\pi\)
\(102\) 1.10383 + 3.51843i 0.109296 + 0.348377i
\(103\) −0.618015 + 4.29839i −0.0608948 + 0.423533i 0.936456 + 0.350786i \(0.114086\pi\)
−0.997350 + 0.0727468i \(0.976824\pi\)
\(104\) −6.06664 0.872251i −0.594883 0.0855312i
\(105\) −7.52877 + 1.45472i −0.734732 + 0.141966i
\(106\) 3.38614 2.93411i 0.328891 0.284986i
\(107\) 0.263932 0.120534i 0.0255153 0.0116524i −0.402617 0.915369i \(-0.631899\pi\)
0.428132 + 0.903716i \(0.359172\pi\)
\(108\) 5.18823 0.286746i 0.499238 0.0275921i
\(109\) −1.00167 + 3.41137i −0.0959424 + 0.326750i −0.993453 0.114243i \(-0.963556\pi\)
0.897510 + 0.440993i \(0.145374\pi\)
\(110\) 1.89613 1.74412i 0.180789 0.166295i
\(111\) −5.86501 + 13.4944i −0.556682 + 1.28083i
\(112\) 0.822470 1.80096i 0.0777161 0.170174i
\(113\) 14.7911 2.12664i 1.39143 0.200058i 0.594484 0.804107i \(-0.297356\pi\)
0.796947 + 0.604050i \(0.206447\pi\)
\(114\) −1.36944 1.14318i −0.128259 0.107069i
\(115\) 6.24361 8.71879i 0.582220 0.813032i
\(116\) 2.59364i 0.240814i
\(117\) −5.82596 17.4397i −0.538610 1.61230i
\(118\) −5.22963 2.38829i −0.481426 0.219860i
\(119\) 1.18754 + 4.04439i 0.108862 + 0.370749i
\(120\) −0.186103 3.86851i −0.0169888 0.353145i
\(121\) 9.28074 + 2.72507i 0.843704 + 0.247734i
\(122\) 5.90056 + 9.18145i 0.534212 + 0.831250i
\(123\) −1.41944 + 5.18534i −0.127987 + 0.467547i
\(124\) 3.95013 + 4.55869i 0.354732 + 0.409383i
\(125\) 6.85659 + 8.83103i 0.613272 + 0.789871i
\(126\) 5.93560 0.218577i 0.528785 0.0194724i
\(127\) −2.97314 0.427473i −0.263824 0.0379321i 0.00913362 0.999958i \(-0.497093\pi\)
−0.272957 + 0.962026i \(0.588002\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −21.2071 + 0.390341i −1.86718 + 0.0343676i
\(130\) −13.0295 + 4.24947i −1.14276 + 0.372703i
\(131\) −6.52880 10.1590i −0.570424 0.887597i 0.429456 0.903088i \(-0.358705\pi\)
−0.999880 + 0.0154907i \(0.995069\pi\)
\(132\) −1.65865 + 1.10961i −0.144367 + 0.0965789i
\(133\) −1.54106 1.33534i −0.133627 0.115788i
\(134\) 5.96494 1.75146i 0.515292 0.151303i
\(135\) 10.1217 5.70531i 0.871140 0.491035i
\(136\) −2.10732 + 0.302987i −0.180701 + 0.0259809i
\(137\) 0.420827i 0.0359536i −0.999838 0.0179768i \(-0.994277\pi\)
0.999838 0.0179768i \(-0.00572251\pi\)
\(138\) −5.81535 + 5.93142i −0.495035 + 0.504916i
\(139\) 18.6589 1.58262 0.791312 0.611413i \(-0.209399\pi\)
0.791312 + 0.611413i \(0.209399\pi\)
\(140\) −0.131316 4.42519i −0.0110983 0.373996i
\(141\) −3.40555 7.10796i −0.286799 0.598598i
\(142\) −3.52067 11.9903i −0.295448 1.00620i
\(143\) 5.33677 + 4.62434i 0.446284 + 0.386707i
\(144\) −0.317379 + 2.98316i −0.0264483 + 0.248597i
\(145\) −2.56464 5.20168i −0.212982 0.431976i
\(146\) −2.46307 + 1.12485i −0.203846 + 0.0930931i
\(147\) −5.33398 + 0.0981781i −0.439939 + 0.00809760i
\(148\) −7.14649 4.59277i −0.587438 0.377523i
\(149\) 1.38027 9.59999i 0.113076 0.786461i −0.851821 0.523833i \(-0.824502\pi\)
0.964897 0.262628i \(-0.0845893\pi\)
\(150\) −4.19850 7.57447i −0.342806 0.618453i
\(151\) −1.86013 1.19543i −0.151375 0.0972829i 0.462761 0.886483i \(-0.346859\pi\)
−0.614136 + 0.789200i \(0.710495\pi\)
\(152\) 0.778363 0.674456i 0.0631336 0.0547056i
\(153\) −3.64845 5.24235i −0.294960 0.423819i
\(154\) −1.91900 + 1.23326i −0.154637 + 0.0993793i
\(155\) 12.4299 + 5.23673i 0.998395 + 0.420624i
\(156\) 10.4781 1.70390i 0.838923 0.136421i
\(157\) −9.92259 + 2.91354i −0.791909 + 0.232526i −0.652579 0.757720i \(-0.726313\pi\)
−0.139330 + 0.990246i \(0.544495\pi\)
\(158\) −10.6604 4.86846i −0.848099 0.387314i
\(159\) −4.07477 + 6.60462i −0.323150 + 0.523780i
\(160\) 2.22177 + 0.252435i 0.175647 + 0.0199567i
\(161\) −6.77106 + 6.65661i −0.533635 + 0.524614i
\(162\) −8.42556 + 3.16386i −0.661974 + 0.248576i
\(163\) 1.35223 0.194421i 0.105915 0.0152282i −0.0891537 0.996018i \(-0.528416\pi\)
0.195068 + 0.980790i \(0.437507\pi\)
\(164\) −2.82341 1.28941i −0.220471 0.100686i
\(165\) −2.22931 + 3.86548i −0.173552 + 0.300928i
\(166\) −12.6878 10.9940i −0.984761 0.853300i
\(167\) 17.7218 + 5.20358i 1.37135 + 0.402665i 0.882751 0.469842i \(-0.155689\pi\)
0.488602 + 0.872507i \(0.337507\pi\)
\(168\) −0.425483 + 3.40274i −0.0328268 + 0.262527i
\(169\) −10.2046 22.3450i −0.784972 1.71885i
\(170\) −3.92674 + 2.69142i −0.301167 + 0.206422i
\(171\) 2.85588 + 1.17924i 0.218395 + 0.0901786i
\(172\) 1.74278 12.1213i 0.132886 0.924243i
\(173\) −2.17092 + 15.0991i −0.165052 + 1.14796i 0.723882 + 0.689924i \(0.242356\pi\)
−0.888933 + 0.458036i \(0.848553\pi\)
\(174\) 1.34474 + 4.28633i 0.101945 + 0.324946i
\(175\) −4.63907 8.74509i −0.350681 0.661067i
\(176\) −0.478621 1.04803i −0.0360774 0.0789986i
\(177\) 9.88091 + 1.23552i 0.742694 + 0.0928674i
\(178\) 10.1142 + 2.96979i 0.758090 + 0.222595i
\(179\) 6.11494 + 5.29863i 0.457052 + 0.396038i 0.852730 0.522351i \(-0.174945\pi\)
−0.395678 + 0.918389i \(0.629490\pi\)
\(180\) 2.31329 + 6.29672i 0.172422 + 0.469330i
\(181\) −4.11475 1.87914i −0.305847 0.139676i 0.256579 0.966523i \(-0.417405\pi\)
−0.562426 + 0.826848i \(0.690132\pi\)
\(182\) 12.0112 1.72695i 0.890328 0.128010i
\(183\) −14.5118 12.1142i −1.07274 0.895510i
\(184\) −2.84121 3.86362i −0.209457 0.284830i
\(185\) −18.8741 2.14445i −1.38765 0.157663i
\(186\) −8.89168 5.48578i −0.651969 0.402237i
\(187\) 2.23126 + 1.01898i 0.163166 + 0.0745152i
\(188\) 4.36616 1.28202i 0.318435 0.0935010i
\(189\) −9.69602 + 3.43870i −0.705281 + 0.250128i
\(190\) 0.894133 2.12232i 0.0648672 0.153969i
\(191\) −11.1897 + 7.19121i −0.809662 + 0.520338i −0.878756 0.477272i \(-0.841626\pi\)
0.0690938 + 0.997610i \(0.477989\pi\)
\(192\) −1.67059 0.457309i −0.120564 0.0330034i
\(193\) 4.29782 3.72408i 0.309364 0.268065i −0.486316 0.873783i \(-0.661660\pi\)
0.795679 + 0.605718i \(0.207114\pi\)
\(194\) −5.14361 3.30560i −0.369290 0.237328i
\(195\) 19.3296 13.7783i 1.38422 0.986681i
\(196\) 0.438344 3.04875i 0.0313103 0.217768i
\(197\) 10.4485 + 6.71487i 0.744428 + 0.478415i 0.857056 0.515223i \(-0.172291\pi\)
−0.112629 + 0.993637i \(0.535927\pi\)
\(198\) 2.16583 2.69374i 0.153919 0.191436i
\(199\) −9.96489 + 4.55081i −0.706393 + 0.322599i −0.736018 0.676962i \(-0.763296\pi\)
0.0296250 + 0.999561i \(0.490569\pi\)
\(200\) 4.70549 1.69066i 0.332729 0.119548i
\(201\) −8.94974 + 5.98720i −0.631266 + 0.422305i
\(202\) −2.19700 1.90371i −0.154580 0.133944i
\(203\) 1.44672 + 4.92708i 0.101540 + 0.345813i
\(204\) 3.32553 1.59332i 0.232834 0.111555i
\(205\) −6.93748 + 0.205868i −0.484535 + 0.0143785i
\(206\) 4.34259 0.302563
\(207\) 6.53532 12.8176i 0.454236 0.890881i
\(208\) 6.12902i 0.424971i
\(209\) −1.17455 + 0.168875i −0.0812453 + 0.0116813i
\(210\) 2.51137 + 7.24511i 0.173301 + 0.499960i
\(211\) 8.94819 2.62743i 0.616019 0.180880i 0.0411878 0.999151i \(-0.486886\pi\)
0.574831 + 0.818272i \(0.305068\pi\)
\(212\) −3.38614 2.93411i −0.232561 0.201515i
\(213\) 12.0350 + 17.9901i 0.824628 + 1.23266i
\(214\) −0.156868 0.244092i −0.0107233 0.0166858i
\(215\) −8.49056 26.0332i −0.579052 1.77545i
\(216\) −1.02219 5.09462i −0.0695512 0.346645i
\(217\) −10.0468 6.45668i −0.682020 0.438308i
\(218\) 3.51920 + 0.505984i 0.238350 + 0.0342696i
\(219\) 3.48734 3.13600i 0.235653 0.211911i
\(220\) −1.99622 1.62862i −0.134585 0.109801i
\(221\) −8.54504 9.86150i −0.574802 0.663356i
\(222\) 14.1917 + 3.88486i 0.952487 + 0.260735i
\(223\) 15.0451 + 23.4106i 1.00749 + 1.56769i 0.809190 + 0.587547i \(0.199906\pi\)
0.198302 + 0.980141i \(0.436457\pi\)
\(224\) −1.89968 0.557795i −0.126927 0.0372693i
\(225\) 10.8657 + 10.3410i 0.724383 + 0.689398i
\(226\) −4.20999 14.3379i −0.280044 0.953744i
\(227\) −16.2449 7.41882i −1.07821 0.492404i −0.204512 0.978864i \(-0.565561\pi\)
−0.873703 + 0.486460i \(0.838288\pi\)
\(228\) −0.936657 + 1.51819i −0.0620316 + 0.100544i
\(229\) 16.1774i 1.06903i −0.845159 0.534515i \(-0.820494\pi\)
0.845159 0.534515i \(-0.179506\pi\)
\(230\) −9.51861 4.93924i −0.627638 0.325684i
\(231\) 2.53197 3.03308i 0.166591 0.199562i
\(232\) −2.56724 + 0.369114i −0.168548 + 0.0242335i
\(233\) 7.78621 17.0494i 0.510092 1.11694i −0.462965 0.886377i \(-0.653214\pi\)
0.973056 0.230568i \(-0.0740584\pi\)
\(234\) −16.4330 + 8.24858i −1.07426 + 0.539227i
\(235\) 7.48888 6.88851i 0.488520 0.449357i
\(236\) −1.61973 + 5.51629i −0.105435 + 0.359080i
\(237\) 20.1419 + 2.51857i 1.30836 + 0.163599i
\(238\) 3.83422 1.75103i 0.248536 0.113502i
\(239\) 11.5926 10.0450i 0.749861 0.649758i −0.193661 0.981068i \(-0.562036\pi\)
0.943522 + 0.331311i \(0.107491\pi\)
\(240\) −3.80265 + 0.734755i −0.245460 + 0.0474283i
\(241\) −18.4645 2.65479i −1.18940 0.171010i −0.480936 0.876756i \(-0.659703\pi\)
−0.708465 + 0.705746i \(0.750612\pi\)
\(242\) 1.37655 9.57409i 0.0884878 0.615446i
\(243\) 12.2839 9.59714i 0.788014 0.615657i
\(244\) 8.24826 7.14716i 0.528041 0.457550i
\(245\) −2.13554 6.54786i −0.136435 0.418327i
\(246\) 5.33457 + 0.667041i 0.340120 + 0.0425290i
\(247\) 6.05672 + 1.77841i 0.385380 + 0.113158i
\(248\) 3.95013 4.55869i 0.250834 0.289477i
\(249\) 26.6683 + 11.5907i 1.69003 + 0.734531i
\(250\) 7.76535 8.04359i 0.491124 0.508721i
\(251\) −0.409367 2.84721i −0.0258390 0.179714i 0.972815 0.231584i \(-0.0743909\pi\)
−0.998654 + 0.0518700i \(0.983482\pi\)
\(252\) −1.06108 5.84408i −0.0668415 0.368142i
\(253\) 0.347196 + 5.51461i 0.0218280 + 0.346700i
\(254\) 3.00371i 0.188470i
\(255\) 5.09401 6.48384i 0.318999 0.406034i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −7.62412 + 2.23864i −0.475579 + 0.139643i −0.510733 0.859739i \(-0.670626\pi\)
0.0351539 + 0.999382i \(0.488808\pi\)
\(258\) 3.40445 + 20.9357i 0.211952 + 1.30340i
\(259\) 16.1378 + 4.73849i 1.00276 + 0.294436i
\(260\) 6.06050 + 12.2921i 0.375856 + 0.762322i
\(261\) −4.44472 6.38649i −0.275121 0.395314i
\(262\) −9.12646 + 7.90813i −0.563835 + 0.488566i
\(263\) −9.69651 + 15.0881i −0.597912 + 0.930370i 0.401979 + 0.915649i \(0.368322\pi\)
−0.999892 + 0.0147208i \(0.995314\pi\)
\(264\) 1.33436 + 1.48386i 0.0821244 + 0.0913251i
\(265\) −9.69238 2.53622i −0.595398 0.155799i
\(266\) −1.10243 + 1.71541i −0.0675943 + 0.105179i
\(267\) −18.2548 + 0.336000i −1.11717 + 0.0205629i
\(268\) −2.58254 5.65497i −0.157754 0.345432i
\(269\) 14.5143 + 22.5847i 0.884953 + 1.37701i 0.925867 + 0.377851i \(0.123337\pi\)
−0.0409139 + 0.999163i \(0.513027\pi\)
\(270\) −7.08771 9.20676i −0.431344 0.560305i
\(271\) −21.1673 + 24.4284i −1.28582 + 1.48392i −0.499199 + 0.866487i \(0.666372\pi\)
−0.786624 + 0.617432i \(0.788173\pi\)
\(272\) 0.599806 + 2.04275i 0.0363686 + 0.123860i
\(273\) −18.9546 + 9.08152i −1.14719 + 0.549638i
\(274\) −0.416543 + 0.0598899i −0.0251643 + 0.00361808i
\(275\) −5.61392 1.29238i −0.338532 0.0779333i
\(276\) 6.69865 + 4.91203i 0.403212 + 0.295669i
\(277\) 6.65868i 0.400081i −0.979788 0.200041i \(-0.935893\pi\)
0.979788 0.200041i \(-0.0641074\pi\)
\(278\) −2.65543 18.4689i −0.159262 1.10769i
\(279\) 17.5389 + 4.45584i 1.05003 + 0.266764i
\(280\) −4.36146 + 0.759749i −0.260647 + 0.0454037i
\(281\) −5.57442 + 6.43323i −0.332542 + 0.383774i −0.897255 0.441514i \(-0.854442\pi\)
0.564712 + 0.825288i \(0.308987\pi\)
\(282\) −6.55095 + 4.38246i −0.390103 + 0.260972i
\(283\) −6.71436 + 4.31506i −0.399127 + 0.256504i −0.724772 0.688989i \(-0.758055\pi\)
0.325645 + 0.945492i \(0.394419\pi\)
\(284\) −11.3672 + 5.19123i −0.674520 + 0.308043i
\(285\) −0.377299 + 3.97099i −0.0223493 + 0.235221i
\(286\) 3.81777 5.94057i 0.225749 0.351273i
\(287\) 6.08278 + 0.874572i 0.359055 + 0.0516244i
\(288\) 2.99797 0.110400i 0.176657 0.00650536i
\(289\) 10.4882 + 6.74038i 0.616955 + 0.396493i
\(290\) −4.78375 + 3.27881i −0.280911 + 0.192539i
\(291\) 10.2144 + 2.79609i 0.598776 + 0.163909i
\(292\) 1.46393 + 2.27792i 0.0856701 + 0.133305i
\(293\) −6.14801 + 20.9382i −0.359171 + 1.22322i 0.559710 + 0.828688i \(0.310912\pi\)
−0.918881 + 0.394535i \(0.870906\pi\)
\(294\) 0.856284 + 5.26572i 0.0499395 + 0.307103i
\(295\) 2.20616 + 12.6648i 0.128448 + 0.737374i
\(296\) −3.52897 + 7.72737i −0.205117 + 0.449144i
\(297\) −2.18268 + 5.57469i −0.126652 + 0.323476i
\(298\) −9.69870 −0.561831
\(299\) 10.5064 27.4519i 0.607603 1.58759i
\(300\) −6.89987 + 5.23372i −0.398364 + 0.302169i
\(301\) 3.45049 + 23.9987i 0.198883 + 1.38326i
\(302\) −0.918541 + 2.01132i −0.0528561 + 0.115739i
\(303\) 4.61785 + 2.00703i 0.265289 + 0.115301i
\(304\) −0.778363 0.674456i −0.0446422 0.0386827i
\(305\) 9.47506 22.4900i 0.542540 1.28778i
\(306\) −4.66977 + 4.35738i −0.266953 + 0.249095i
\(307\) −1.24426 + 0.568233i −0.0710135 + 0.0324308i −0.450605 0.892723i \(-0.648792\pi\)
0.379592 + 0.925154i \(0.376064\pi\)
\(308\) 1.49381 + 1.72395i 0.0851179 + 0.0982313i
\(309\) −7.17669 + 2.25153i −0.408268 + 0.128085i
\(310\) 3.41447 13.0487i 0.193929 0.741114i
\(311\) −29.0889 4.18235i −1.64948 0.237159i −0.746048 0.665892i \(-0.768051\pi\)
−0.903431 + 0.428733i \(0.858960\pi\)
\(312\) −3.17775 10.1290i −0.179905 0.573442i
\(313\) −17.6780 20.4015i −0.999221 1.15316i −0.988192 0.153224i \(-0.951035\pi\)
−0.0110296 0.999939i \(-0.503511\pi\)
\(314\) 4.29601 + 9.40696i 0.242438 + 0.530865i
\(315\) −7.90678 10.6714i −0.445497 0.601264i
\(316\) −3.30177 + 11.2448i −0.185739 + 0.632568i
\(317\) −20.8969 + 24.1163i −1.17369 + 1.35451i −0.251454 + 0.967869i \(0.580909\pi\)
−0.922232 + 0.386637i \(0.873637\pi\)
\(318\) 7.11729 + 3.09336i 0.399118 + 0.173467i
\(319\) 2.71822 + 1.24137i 0.152191 + 0.0695035i
\(320\) −0.0663257 2.23508i −0.00370772 0.124945i
\(321\) 0.385801 + 0.322061i 0.0215333 + 0.0179757i
\(322\) 7.55248 + 5.75481i 0.420883 + 0.320703i
\(323\) 2.19270 0.122005
\(324\) 4.33074 + 7.88953i 0.240597 + 0.438307i
\(325\) 24.3093 + 18.6596i 1.34844 + 1.03505i
\(326\) −0.384884 1.31079i −0.0213168 0.0725982i
\(327\) −6.07827 + 0.988417i −0.336129 + 0.0546596i
\(328\) −0.874470 + 2.97817i −0.0482845 + 0.164442i
\(329\) −7.57919 + 4.87085i −0.417854 + 0.268539i
\(330\) 4.14340 + 1.65651i 0.228087 + 0.0911878i
\(331\) 18.5223 + 21.3759i 1.01808 + 1.17492i 0.984481 + 0.175489i \(0.0561505\pi\)
0.0335961 + 0.999435i \(0.489304\pi\)
\(332\) −9.07645 + 14.1232i −0.498135 + 0.775113i
\(333\) −25.4679 + 0.937849i −1.39563 + 0.0513938i
\(334\) 2.62855 18.2819i 0.143828 1.00034i
\(335\) −10.7712 8.78766i −0.588491 0.480121i
\(336\) 3.42866 0.0631085i 0.187049 0.00344285i
\(337\) 11.0477 + 24.1911i 0.601806 + 1.31777i 0.928039 + 0.372482i \(0.121493\pi\)
−0.326233 + 0.945289i \(0.605779\pi\)
\(338\) −20.6653 + 13.2808i −1.12405 + 0.722380i
\(339\) 14.3914 + 21.5125i 0.781634 + 1.16840i
\(340\) 3.22286 + 3.50374i 0.174784 + 0.190017i
\(341\) −6.66828 + 1.95798i −0.361108 + 0.106031i
\(342\) 0.760801 2.99464i 0.0411394 0.161931i
\(343\) 2.84022 + 19.7542i 0.153358 + 1.06663i
\(344\) −12.2460 −0.660259
\(345\) 18.2916 + 3.22757i 0.984787 + 0.173766i
\(346\) 15.2543 0.820078
\(347\) −0.146080 1.01601i −0.00784198 0.0545422i 0.985525 0.169532i \(-0.0542256\pi\)
−0.993367 + 0.114990i \(0.963316\pi\)
\(348\) 4.05132 1.94106i 0.217174 0.104052i
\(349\) 5.52791 1.62314i 0.295902 0.0868848i −0.130412 0.991460i \(-0.541630\pi\)
0.426314 + 0.904575i \(0.359812\pi\)
\(350\) −7.99587 + 5.83641i −0.427397 + 0.311969i
\(351\) 22.8810 22.1520i 1.22130 1.18239i
\(352\) −0.969252 + 0.622900i −0.0516613 + 0.0332007i
\(353\) −2.96526 6.49302i −0.157825 0.345589i 0.814157 0.580645i \(-0.197200\pi\)
−0.971982 + 0.235057i \(0.924472\pi\)
\(354\) −0.183255 9.95617i −0.00973988 0.529164i
\(355\) −17.6643 + 21.6514i −0.937526 + 1.14914i
\(356\) 1.50017 10.4339i 0.0795086 0.552995i
\(357\) −5.42868 + 4.88176i −0.287316 + 0.258370i
\(358\) 4.37445 6.80677i 0.231197 0.359749i
\(359\) 7.81698 + 9.02128i 0.412565 + 0.476125i 0.923557 0.383460i \(-0.125268\pi\)
−0.510993 + 0.859585i \(0.670722\pi\)
\(360\) 5.90341 3.18586i 0.311137 0.167910i
\(361\) 15.0915 9.69870i 0.794288 0.510458i
\(362\) −1.27443 + 4.34030i −0.0669824 + 0.228121i
\(363\) 2.68902 + 16.5361i 0.141137 + 0.867922i
\(364\) −3.41874 11.6432i −0.179191 0.610267i
\(365\) 5.18844 + 3.12092i 0.271575 + 0.163357i
\(366\) −9.92568 + 16.0881i −0.518824 + 0.840940i
\(367\) 4.14223 0.216223 0.108111 0.994139i \(-0.465520\pi\)
0.108111 + 0.994139i \(0.465520\pi\)
\(368\) −3.41995 + 3.36214i −0.178277 + 0.175264i
\(369\) −9.16191 + 1.66348i −0.476950 + 0.0865972i
\(370\) 0.563440 + 18.9871i 0.0292918 + 0.987095i
\(371\) 8.06919 + 3.68508i 0.418932 + 0.191320i
\(372\) −4.16453 + 9.58188i −0.215921 + 0.496797i
\(373\) −5.39452 + 6.22560i −0.279317 + 0.322349i −0.878022 0.478621i \(-0.841137\pi\)
0.598704 + 0.800970i \(0.295682\pi\)
\(374\) 0.691068 2.35356i 0.0357343 0.121700i
\(375\) −8.66283 + 17.3192i −0.447347 + 0.894361i
\(376\) −1.89034 4.13927i −0.0974869 0.213467i
\(377\) −10.4100 12.0138i −0.536141 0.618740i
\(378\) 4.78358 + 9.10795i 0.246041 + 0.468462i
\(379\) 23.4155 + 3.36665i 1.20278 + 0.172933i 0.714423 0.699714i \(-0.246689\pi\)
0.488352 + 0.872647i \(0.337598\pi\)
\(380\) −2.22796 0.582995i −0.114292 0.0299070i
\(381\) −1.55735 4.96402i −0.0797857 0.254315i
\(382\) 8.71049 + 10.0524i 0.445667 + 0.514327i
\(383\) 15.0234 6.86094i 0.767658 0.350577i 0.00720760 0.999974i \(-0.497706\pi\)
0.760450 + 0.649397i \(0.224978\pi\)
\(384\) −0.214904 + 1.71867i −0.0109668 + 0.0877054i
\(385\) 4.70060 + 1.98036i 0.239565 + 0.100929i
\(386\) −4.29782 3.72408i −0.218753 0.189551i
\(387\) −16.4809 32.8337i −0.837773 1.66903i
\(388\) −2.53994 + 5.56169i −0.128946 + 0.282352i
\(389\) 2.99371 + 20.8217i 0.151787 + 1.05570i 0.913222 + 0.407462i \(0.133586\pi\)
−0.761435 + 0.648242i \(0.775505\pi\)
\(390\) −16.3889 17.1720i −0.829884 0.869538i
\(391\) 0.815172 10.1777i 0.0412250 0.514708i
\(392\) −3.08010 −0.155568
\(393\) 10.9825 17.8011i 0.553993 0.897944i
\(394\) 5.15954 11.2978i 0.259934 0.569176i
\(395\) 4.49720 + 25.8168i 0.226279 + 1.29899i
\(396\) −2.97455 1.76043i −0.149477 0.0884650i
\(397\) 10.5958 36.0860i 0.531788 1.81110i −0.0512841 0.998684i \(-0.516331\pi\)
0.583072 0.812420i \(-0.301850\pi\)
\(398\) 5.92265 + 9.21582i 0.296875 + 0.461947i
\(399\) 0.932506 3.40653i 0.0466837 0.170540i
\(400\) −2.34311 4.41699i −0.117156 0.220850i
\(401\) −12.7468 8.19188i −0.636545 0.409083i 0.182182 0.983265i \(-0.441684\pi\)
−0.818728 + 0.574182i \(0.805320\pi\)
\(402\) 7.19994 + 8.00658i 0.359100 + 0.399332i
\(403\) 36.5941 + 5.26143i 1.82288 + 0.262091i
\(404\) −1.57167 + 2.44556i −0.0781933 + 0.121671i
\(405\) 16.4868 + 11.5405i 0.819238 + 0.573454i
\(406\) 4.67104 2.13319i 0.231820 0.105868i
\(407\) 8.23384 5.29157i 0.408136 0.262293i
\(408\) −2.05038 3.06493i −0.101509 0.151736i
\(409\) 13.3214 15.3738i 0.658703 0.760184i −0.323862 0.946104i \(-0.604981\pi\)
0.982565 + 0.185920i \(0.0595266\pi\)
\(410\) 1.19108 + 6.83757i 0.0588232 + 0.337683i
\(411\) 0.657340 0.314943i 0.0324242 0.0155350i
\(412\) −0.618015 4.29839i −0.0304474 0.211766i
\(413\) 11.3826i 0.560103i
\(414\) −13.6172 4.64467i −0.669247 0.228273i
\(415\) −4.23796 + 37.2998i −0.208033 + 1.83098i
\(416\) 6.06664 0.872251i 0.297441 0.0427656i
\(417\) 13.9641 + 29.1455i 0.683827 + 1.42726i
\(418\) 0.334312 + 1.13856i 0.0163517 + 0.0556888i
\(419\) 17.2325 19.8874i 0.841862 0.971561i −0.158012 0.987437i \(-0.550508\pi\)
0.999874 + 0.0158763i \(0.00505378\pi\)
\(420\) 6.81396 3.51690i 0.332487 0.171607i
\(421\) 6.47964 + 10.0825i 0.315798 + 0.491392i 0.962474 0.271373i \(-0.0874778\pi\)
−0.646676 + 0.762765i \(0.723841\pi\)
\(422\) −3.87414 8.48319i −0.188590 0.412955i
\(423\) 8.55409 10.6391i 0.415914 0.517290i
\(424\) −2.42234 + 3.76924i −0.117639 + 0.183050i
\(425\) 9.92817 + 3.84012i 0.481587 + 0.186273i
\(426\) 16.0943 14.4728i 0.779769 0.701210i
\(427\) −11.6824 + 18.1781i −0.565350 + 0.879701i
\(428\) −0.219283 + 0.190010i −0.0105994 + 0.00918446i
\(429\) −3.22931 + 11.7970i −0.155913 + 0.569563i
\(430\) −24.5599 + 12.1091i −1.18439 + 0.583951i
\(431\) −3.32098 0.975128i −0.159966 0.0469703i 0.200769 0.979639i \(-0.435656\pi\)
−0.360735 + 0.932668i \(0.617474\pi\)
\(432\) −4.89729 + 1.73682i −0.235621 + 0.0835630i
\(433\) −13.1501 + 3.86122i −0.631954 + 0.185558i −0.581994 0.813193i \(-0.697727\pi\)
−0.0499597 + 0.998751i \(0.515909\pi\)
\(434\) −4.96115 + 10.8634i −0.238143 + 0.521460i
\(435\) 6.20577 7.89892i 0.297544 0.378724i
\(436\) 3.55539i 0.170272i
\(437\) 2.33013 + 4.35517i 0.111465 + 0.208336i
\(438\) −3.60038 3.00555i −0.172033 0.143611i
\(439\) −1.33038 9.25303i −0.0634958 0.441623i −0.996626 0.0820829i \(-0.973843\pi\)
0.933130 0.359540i \(-0.117066\pi\)
\(440\) −1.32795 + 2.20767i −0.0633075 + 0.105247i
\(441\) −4.14527 8.25831i −0.197394 0.393253i
\(442\) −8.54504 + 9.86150i −0.406446 + 0.469064i
\(443\) 3.52398 + 1.03473i 0.167429 + 0.0491616i 0.364373 0.931253i \(-0.381283\pi\)
−0.196944 + 0.980415i \(0.563102\pi\)
\(444\) 1.82562 14.6002i 0.0866402 0.692893i
\(445\) −7.30856 22.4091i −0.346459 1.06229i
\(446\) 21.0312 18.2236i 0.995854 0.862912i
\(447\) 16.0284 5.02855i 0.758115 0.237842i
\(448\) −0.281766 + 1.95972i −0.0133122 + 0.0925882i
\(449\) −35.6201 5.12139i −1.68101 0.241693i −0.765343 0.643622i \(-0.777431\pi\)
−0.915671 + 0.401929i \(0.868340\pi\)
\(450\) 8.68936 12.2268i 0.409620 0.576378i
\(451\) 2.70269 2.34189i 0.127264 0.110275i
\(452\) −13.5928 + 6.20764i −0.639353 + 0.291983i
\(453\) 0.475183 3.80021i 0.0223261 0.178550i
\(454\) −5.03141 + 17.1354i −0.236136 + 0.804204i
\(455\) −18.3694 19.9704i −0.861172 0.936228i
\(456\) 1.63604 + 0.711062i 0.0766144 + 0.0332985i
\(457\) −2.16833 + 4.74797i −0.101430 + 0.222101i −0.953543 0.301257i \(-0.902594\pi\)
0.852113 + 0.523358i \(0.175321\pi\)
\(458\) −16.0127 + 2.30228i −0.748224 + 0.107578i
\(459\) 5.45819 9.62229i 0.254767 0.449130i
\(460\) −3.53433 + 10.1246i −0.164789 + 0.472064i
\(461\) 2.28622i 0.106480i 0.998582 + 0.0532399i \(0.0169548\pi\)
−0.998582 + 0.0532399i \(0.983045\pi\)
\(462\) −3.36255 2.07455i −0.156440 0.0965167i
\(463\) −19.4958 8.90345i −0.906049 0.413778i −0.0927931 0.995685i \(-0.529580\pi\)
−0.813255 + 0.581907i \(0.802307\pi\)
\(464\) 0.730713 + 2.48858i 0.0339225 + 0.115529i
\(465\) 1.12258 + 23.3349i 0.0520583 + 1.08213i
\(466\) −17.9840 5.28057i −0.833092 0.244618i
\(467\) −5.61927 8.74376i −0.260029 0.404613i 0.686551 0.727081i \(-0.259124\pi\)
−0.946580 + 0.322468i \(0.895487\pi\)
\(468\) 10.5033 + 15.0919i 0.485515 + 0.697623i
\(469\) 8.06029 + 9.30208i 0.372190 + 0.429530i
\(470\) −7.88417 6.43231i −0.363670 0.296700i
\(471\) −11.9770 13.3188i −0.551871 0.613699i
\(472\) 5.69065 + 0.818192i 0.261933 + 0.0376603i
\(473\) 11.8694 + 7.62802i 0.545757 + 0.350737i
\(474\) −0.373559 20.2953i −0.0171581 0.932196i
\(475\) −5.04477 + 1.03383i −0.231470 + 0.0474352i
\(476\) −2.27887 3.54600i −0.104452 0.162531i
\(477\) −13.3661 1.42202i −0.611991 0.0651098i
\(478\) −11.5926 10.0450i −0.530231 0.459448i
\(479\) −9.80548 + 2.87915i −0.448024 + 0.131552i −0.497959 0.867201i \(-0.665917\pi\)
0.0499347 + 0.998752i \(0.484099\pi\)
\(480\) 1.26845 + 3.65938i 0.0578966 + 0.167027i
\(481\) −51.5364 + 7.40981i −2.34986 + 0.337858i
\(482\) 18.6543i 0.849682i
\(483\) −15.4652 5.59478i −0.703690 0.254572i
\(484\) −9.67255 −0.439661
\(485\) 0.405530 + 13.6658i 0.0184142 + 0.620532i
\(486\) −11.2476 10.7931i −0.510203 0.489584i
\(487\) −4.51226 15.3673i −0.204470 0.696360i −0.996325 0.0856517i \(-0.972703\pi\)
0.791855 0.610709i \(-0.209115\pi\)
\(488\) −8.24826 7.14716i −0.373381 0.323537i
\(489\) 1.31569 + 1.96670i 0.0594974 + 0.0889374i
\(490\) −6.17729 + 3.04566i −0.279062 + 0.137589i
\(491\) −29.6477 + 13.5396i −1.33798 + 0.611035i −0.950466 0.310828i \(-0.899394\pi\)
−0.387515 + 0.921863i \(0.626666\pi\)
\(492\) −0.0989369 5.37520i −0.00446042 0.242333i
\(493\) −4.64527 2.98533i −0.209212 0.134453i
\(494\) 0.898351 6.24817i 0.0404187 0.281118i
\(495\) −7.70637 0.589337i −0.346375 0.0264887i
\(496\) −5.07446 3.26115i −0.227850 0.146430i
\(497\) 18.6984 16.2022i 0.838737 0.726769i
\(498\) 7.67744 28.0464i 0.344034 1.25679i
\(499\) 25.0161 16.0768i 1.11987 0.719699i 0.156450 0.987686i \(-0.449995\pi\)
0.963422 + 0.267987i \(0.0863585\pi\)
\(500\) −9.06684 6.54159i −0.405482 0.292549i
\(501\) 5.13474 + 31.5761i 0.229403 + 1.41072i
\(502\) −2.75997 + 0.810401i −0.123184 + 0.0361700i
\(503\) −17.7920 8.12535i −0.793308 0.362291i −0.0228145 0.999740i \(-0.507263\pi\)
−0.770493 + 0.637448i \(0.779990\pi\)
\(504\) −5.63359 + 1.88198i −0.250940 + 0.0838298i
\(505\) −0.733840 + 6.45879i −0.0326554 + 0.287412i
\(506\) 5.40907 1.12847i 0.240462 0.0501667i
\(507\) 27.2663 32.6627i 1.21094 1.45060i
\(508\) 2.97314 0.427473i 0.131912 0.0189660i
\(509\) −33.0632 15.0995i −1.46550 0.669272i −0.486604 0.873623i \(-0.661765\pi\)
−0.978898 + 0.204350i \(0.934492\pi\)
\(510\) −7.14279 4.11942i −0.316288 0.182411i
\(511\) −4.05161 3.51074i −0.179233 0.155306i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 0.295326 + 5.34348i 0.0130389 + 0.235920i
\(514\) 3.30088 + 7.22792i 0.145596 + 0.318810i
\(515\) −5.48979 8.00954i −0.241909 0.352942i
\(516\) 20.2381 6.34925i 0.890931 0.279510i
\(517\) −0.746136 + 5.18949i −0.0328150 + 0.228234i
\(518\) 2.39361 16.6479i 0.105169 0.731468i
\(519\) −25.2097 + 7.90901i −1.10659 + 0.347167i
\(520\) 11.3045 7.74815i 0.495733 0.339779i
\(521\) 16.9256 + 37.0620i 0.741526 + 1.62371i 0.781029 + 0.624495i \(0.214695\pi\)
−0.0395030 + 0.999219i \(0.512577\pi\)
\(522\) −5.68893 + 5.30837i −0.248998 + 0.232341i
\(523\) −2.03180 0.596591i −0.0888445 0.0260871i 0.237008 0.971508i \(-0.423833\pi\)
−0.325853 + 0.945421i \(0.605651\pi\)
\(524\) 9.12646 + 7.90813i 0.398691 + 0.345468i
\(525\) 10.1882 13.7911i 0.444648 0.601892i
\(526\) 16.3144 + 7.45056i 0.711343 + 0.324860i
\(527\) 12.7114 1.82762i 0.553717 0.0796125i
\(528\) 1.27885 1.53196i 0.0556550 0.0666699i
\(529\) 21.0814 9.19652i 0.916581 0.399849i
\(530\) −1.13104 + 9.95466i −0.0491291 + 0.432403i
\(531\) 5.46489 + 16.3588i 0.237156 + 0.709913i
\(532\) 1.85485 + 0.847080i 0.0804178 + 0.0367256i
\(533\) −18.2533 + 5.35965i −0.790637 + 0.232152i
\(534\) 2.93050 + 18.0211i 0.126815 + 0.779851i
\(535\) −0.251898 + 0.597905i −0.0108905 + 0.0258497i
\(536\) −5.22987 + 3.36104i −0.225896 + 0.145175i
\(537\) −3.70019 + 13.5171i −0.159675 + 0.583307i
\(538\) 20.2892 17.5807i 0.874730 0.757958i
\(539\) 2.98539 + 1.91859i 0.128590 + 0.0826397i
\(540\) −8.10436 + 8.32583i −0.348756 + 0.358287i
\(541\) 6.16013 42.8446i 0.264845 1.84204i −0.230170 0.973150i \(-0.573928\pi\)
0.495015 0.868885i \(-0.335163\pi\)
\(542\) 27.1922 + 17.4753i 1.16800 + 0.750631i
\(543\) −0.144188 7.83366i −0.00618769 0.336175i
\(544\) 1.93660 0.884415i 0.0830310 0.0379190i
\(545\) −3.51564 7.13051i −0.150593 0.305438i
\(546\) 11.6866 + 17.4693i 0.500141 + 0.747616i
\(547\) −0.847136 0.734048i −0.0362209 0.0313856i 0.636562 0.771225i \(-0.280356\pi\)
−0.672783 + 0.739840i \(0.734901\pi\)
\(548\) 0.118561 + 0.403780i 0.00506466 + 0.0172486i
\(549\) 8.06216 31.7339i 0.344084 1.35437i
\(550\) −0.480278 + 5.74070i −0.0204791 + 0.244784i
\(551\) 2.67125 0.113799
\(552\) 3.90871 7.32953i 0.166366 0.311965i
\(553\) 23.2031i 0.986698i
\(554\) −6.59091 + 0.947629i −0.280021 + 0.0402609i
\(555\) −10.7755 31.0866i −0.457396 1.31955i
\(556\) −17.9030 + 5.25681i −0.759258 + 0.222938i
\(557\) 20.7887 + 18.0135i 0.880845 + 0.763257i 0.972590 0.232526i \(-0.0746991\pi\)
−0.0917452 + 0.995783i \(0.529245\pi\)
\(558\) 1.91444 17.9945i 0.0810446 0.761768i
\(559\) −40.5783 63.1410i −1.71628 2.67058i
\(560\) 1.37272 + 4.20894i 0.0580078 + 0.177860i
\(561\) 0.0781869 + 4.24787i 0.00330105 + 0.179345i
\(562\) 7.16107 + 4.60214i 0.302072 + 0.194130i
\(563\) 0.968031 + 0.139182i 0.0407976 + 0.00586582i 0.162683 0.986678i \(-0.447985\pi\)
−0.121886 + 0.992544i \(0.538894\pi\)
\(564\) 5.27015 + 5.86058i 0.221913 + 0.246775i
\(565\) −21.1229 + 25.8906i −0.888646 + 1.08922i
\(566\) 5.22669 + 6.03192i 0.219694 + 0.253541i
\(567\) −12.6277 12.5719i −0.530315 0.527970i
\(568\) 6.75612 + 10.5127i 0.283480 + 0.441104i
\(569\) 21.2268 + 6.23274i 0.889872 + 0.261290i 0.694546 0.719448i \(-0.255605\pi\)
0.195326 + 0.980738i \(0.437423\pi\)
\(570\) 3.98426 0.191672i 0.166882 0.00802826i
\(571\) 8.83153 + 30.0774i 0.369588 + 1.25870i 0.909048 + 0.416691i \(0.136810\pi\)
−0.539460 + 0.842011i \(0.681372\pi\)
\(572\) −6.42343 2.93348i −0.268577 0.122655i
\(573\) −19.6071 12.0968i −0.819100 0.505350i
\(574\) 6.14533i 0.256501i
\(575\) 2.92317 + 23.8003i 0.121904 + 0.992542i
\(576\) −0.535931 2.95174i −0.0223305 0.122989i
\(577\) −15.0185 + 2.15933i −0.625227 + 0.0898941i −0.447644 0.894212i \(-0.647737\pi\)
−0.177583 + 0.984106i \(0.556828\pi\)
\(578\) 5.17914 11.3407i 0.215424 0.471713i
\(579\) 9.03354 + 3.92621i 0.375421 + 0.163168i
\(580\) 3.92624 + 4.26843i 0.163028 + 0.177237i
\(581\) 9.36444 31.8923i 0.388502 1.32312i
\(582\) 1.31397 10.5083i 0.0544659 0.435583i
\(583\) 4.69572 2.14446i 0.194477 0.0888146i
\(584\) 2.04640 1.77321i 0.0846805 0.0733761i
\(585\) 35.9880 + 19.8817i 1.48792 + 0.822007i
\(586\) 21.6000 + 3.10562i 0.892289 + 0.128292i
\(587\) −1.03759 + 7.21660i −0.0428259 + 0.297861i 0.957140 + 0.289625i \(0.0935306\pi\)
−0.999966 + 0.00823577i \(0.997378\pi\)
\(588\) 5.09026 1.59696i 0.209919 0.0658574i
\(589\) −4.69510 + 4.06833i −0.193458 + 0.167633i
\(590\) 12.2219 3.98610i 0.503169 0.164105i
\(591\) −2.66915 + 21.3462i −0.109794 + 0.878065i
\(592\) 8.15094 + 2.39333i 0.335001 + 0.0983653i
\(593\) 8.56362 9.88294i 0.351666 0.405844i −0.552165 0.833735i \(-0.686198\pi\)
0.903830 + 0.427891i \(0.140743\pi\)
\(594\) 5.82858 + 1.36710i 0.239149 + 0.0560929i
\(595\) −8.07675 4.85829i −0.331115 0.199170i
\(596\) 1.38027 + 9.59999i 0.0565380 + 0.393231i
\(597\) −14.5661 12.1596i −0.596152 0.497658i
\(598\) −28.6677 6.49268i −1.17231 0.265505i
\(599\) 20.7817i 0.849116i −0.905401 0.424558i \(-0.860429\pi\)
0.905401 0.424558i \(-0.139571\pi\)
\(600\) 6.16240 + 6.08480i 0.251579 + 0.248411i
\(601\) 3.38787 7.41840i 0.138194 0.302603i −0.827864 0.560929i \(-0.810444\pi\)
0.966058 + 0.258327i \(0.0831711\pi\)
\(602\) 23.2634 6.83074i 0.948145 0.278400i
\(603\) −16.0501 9.49890i −0.653609 0.386825i
\(604\) 2.12157 + 0.622950i 0.0863256 + 0.0253475i
\(605\) −19.3988 + 9.56440i −0.788673 + 0.388848i
\(606\) 1.32942 4.85648i 0.0540038 0.197281i
\(607\) −4.70583 + 4.07763i −0.191004 + 0.165506i −0.745113 0.666938i \(-0.767604\pi\)
0.554109 + 0.832444i \(0.313059\pi\)
\(608\) −0.556818 + 0.866426i −0.0225820 + 0.0351382i
\(609\) −6.61348 + 5.94719i −0.267992 + 0.240992i
\(610\) −23.6096 6.17795i −0.955923 0.250138i
\(611\) 15.0785 23.4626i 0.610011 0.949195i
\(612\) 4.97760 + 4.00211i 0.201208 + 0.161776i
\(613\) −16.7844 36.7527i −0.677916 1.48443i −0.864837 0.502053i \(-0.832578\pi\)
0.186921 0.982375i \(-0.440149\pi\)
\(614\) 0.739526 + 1.15072i 0.0298448 + 0.0464395i
\(615\) −5.51353 10.6824i −0.222327 0.430757i
\(616\) 1.49381 1.72395i 0.0601875 0.0694600i
\(617\) −10.4759 35.6777i −0.421745 1.43633i −0.847163 0.531333i \(-0.821691\pi\)
0.425418 0.904997i \(-0.360127\pi\)
\(618\) 3.24996 + 6.78322i 0.130733 + 0.272861i
\(619\) −23.6819 + 3.40494i −0.951856 + 0.136856i −0.600712 0.799465i \(-0.705116\pi\)
−0.351144 + 0.936322i \(0.614207\pi\)
\(620\) −13.4018 1.52269i −0.538228 0.0611528i
\(621\) 24.9123 + 0.615736i 0.999695 + 0.0247086i
\(622\) 29.3880i 1.17835i
\(623\) 2.97014 + 20.6578i 0.118996 + 0.827636i
\(624\) −9.57366 + 4.58692i −0.383253 + 0.183624i
\(625\) −24.6525 4.15402i −0.986099 0.166161i
\(626\) −17.6780 + 20.4015i −0.706556 + 0.815409i
\(627\) −1.14281 1.70829i −0.0456394 0.0682223i
\(628\) 8.69982 5.59104i 0.347161 0.223107i
\(629\) −16.4515 + 7.51315i −0.655964 + 0.299569i
\(630\) −9.43751 + 9.34500i −0.376000 + 0.372314i
\(631\) −4.41336 + 6.86732i −0.175693 + 0.273384i −0.917921 0.396764i \(-0.870133\pi\)
0.742227 + 0.670148i \(0.233769\pi\)
\(632\) 11.6002 + 1.66786i 0.461432 + 0.0663439i
\(633\) 10.8009 + 12.0109i 0.429296 + 0.477391i
\(634\) 26.8448 + 17.2521i 1.06614 + 0.685168i
\(635\) 5.54009 3.79722i 0.219852 0.150688i
\(636\) 2.04897 7.48508i 0.0812471 0.296803i
\(637\) −10.2062 15.8812i −0.404385 0.629235i
\(638\) 0.841892 2.86722i 0.0333308 0.113514i
\(639\) −19.0940 + 32.2627i −0.755348 + 1.27629i
\(640\) −2.20290 + 0.383736i −0.0870771 + 0.0151685i
\(641\) 6.95608 15.2317i 0.274748 0.601615i −0.721081 0.692851i \(-0.756354\pi\)
0.995829 + 0.0912357i \(0.0290817\pi\)
\(642\) 0.263878 0.427708i 0.0104144 0.0168803i
\(643\) 37.2181 1.46774 0.733869 0.679291i \(-0.237713\pi\)
0.733869 + 0.679291i \(0.237713\pi\)
\(644\) 4.62140 8.29460i 0.182109 0.326853i
\(645\) 34.3102 32.7455i 1.35096 1.28935i
\(646\) −0.312053 2.17038i −0.0122776 0.0853924i
\(647\) −8.96178 + 19.6236i −0.352324 + 0.771482i 0.647631 + 0.761954i \(0.275760\pi\)
−0.999955 + 0.00952755i \(0.996967\pi\)
\(648\) 7.19290 5.40946i 0.282564 0.212503i
\(649\) −5.00602 4.33774i −0.196504 0.170271i
\(650\) 15.0101 26.7174i 0.588746 1.04794i
\(651\) 2.56652 20.5254i 0.100590 0.804454i
\(652\) −1.24268 + 0.567512i −0.0486670 + 0.0222255i
\(653\) −8.12232 9.37366i −0.317851 0.366820i 0.574231 0.818693i \(-0.305301\pi\)
−0.892082 + 0.451874i \(0.850756\pi\)
\(654\) 1.84338 + 5.87574i 0.0720820 + 0.229759i
\(655\) 26.1233 + 6.83573i 1.02072 + 0.267094i
\(656\) 3.07231 + 0.441731i 0.119953 + 0.0172467i
\(657\) 7.50840 + 3.10034i 0.292931 + 0.120956i
\(658\) 5.89990 + 6.80885i 0.230002 + 0.265437i
\(659\) 3.05395 + 6.68721i 0.118965 + 0.260497i 0.959741 0.280886i \(-0.0906283\pi\)
−0.840776 + 0.541383i \(0.817901\pi\)
\(660\) 1.04998 4.33698i 0.0408704 0.168817i
\(661\) −0.711805 + 2.42418i −0.0276860 + 0.0942899i −0.972177 0.234247i \(-0.924737\pi\)
0.944491 + 0.328537i \(0.106556\pi\)
\(662\) 18.5223 21.3759i 0.719890 0.830797i
\(663\) 9.00882 20.7278i 0.349874 0.805001i
\(664\) 15.2712 + 6.97412i 0.592637 + 0.270648i
\(665\) 4.55760 0.135246i 0.176736 0.00524461i
\(666\) 4.55276 + 25.0752i 0.176416 + 0.971644i
\(667\) 0.993082 12.3990i 0.0384523 0.480090i
\(668\) −18.4699 −0.714624
\(669\) −25.3082 + 41.0210i −0.978471 + 1.58596i
\(670\) −7.16532 + 11.9121i −0.276821 + 0.460206i
\(671\) 3.54267 + 12.0652i 0.136763 + 0.465774i
\(672\) −0.550416 3.38478i −0.0212327 0.130571i
\(673\) 9.16093 31.1993i 0.353128 1.20264i −0.571125 0.820863i \(-0.693493\pi\)
0.924253 0.381780i \(-0.124689\pi\)
\(674\) 22.3726 14.3780i 0.861760 0.553820i
\(675\) −8.02097 + 24.7116i −0.308727 + 0.951151i
\(676\) 16.0866 + 18.5649i 0.618715 + 0.714036i
\(677\) 3.92374 6.10546i 0.150802 0.234652i −0.757631 0.652683i \(-0.773643\pi\)
0.908433 + 0.418031i \(0.137280\pi\)
\(678\) 19.2454 17.3065i 0.739115 0.664651i
\(679\) 1.72278 11.9822i 0.0661141 0.459834i
\(680\) 3.00942 3.68869i 0.115406 0.141455i
\(681\) −0.569250 30.9271i −0.0218137 1.18513i
\(682\) 2.88705 + 6.32176i 0.110551 + 0.242073i
\(683\) 6.66796 4.28524i 0.255142 0.163970i −0.406817 0.913510i \(-0.633361\pi\)
0.661960 + 0.749540i \(0.269725\pi\)
\(684\) −3.07243 0.326876i −0.117477 0.0124984i
\(685\) 0.637045 + 0.692567i 0.0243402 + 0.0264616i
\(686\) 19.1489 5.62263i 0.731109 0.214673i
\(687\) 25.2694 12.1070i 0.964086 0.461911i
\(688\) 1.74278 + 12.1213i 0.0664430 + 0.462121i
\(689\) −27.4611 −1.04618
\(690\) 0.591547 18.5648i 0.0225198 0.706748i
\(691\) −20.3093 −0.772602 −0.386301 0.922373i \(-0.626247\pi\)
−0.386301 + 0.922373i \(0.626247\pi\)
\(692\) −2.17092 15.0991i −0.0825259 0.573980i
\(693\) 6.63265 + 1.68505i 0.251953 + 0.0640099i
\(694\) −0.984877 + 0.289186i −0.0373854 + 0.0109774i
\(695\) −30.7074 + 28.2457i −1.16480 + 1.07142i
\(696\) −2.49787 3.73384i −0.0946814 0.141531i
\(697\) −5.55915 + 3.57265i −0.210568 + 0.135324i
\(698\) −2.39332 5.24065i −0.0905887 0.198362i
\(699\) 32.4587 0.597440i 1.22770 0.0225972i
\(700\) 6.91493 + 7.08387i 0.261360 + 0.267745i
\(701\) −3.09661 + 21.5374i −0.116957 + 0.813455i 0.843918 + 0.536472i \(0.180243\pi\)
−0.960875 + 0.276982i \(0.910666\pi\)
\(702\) −25.1828 19.4956i −0.950465 0.735813i
\(703\) 4.73020 7.36033i 0.178403 0.277600i
\(704\) 0.754499 + 0.870738i 0.0284363 + 0.0328172i
\(705\) 16.3646 + 6.54247i 0.616327 + 0.246404i
\(706\) −6.00493 + 3.85914i −0.225999 + 0.145240i
\(707\) 1.62153 5.52244i 0.0609841 0.207693i
\(708\) −9.82875 + 1.59830i −0.369387 + 0.0600678i
\(709\) 10.6966 + 36.4292i 0.401719 + 1.36813i 0.873677 + 0.486507i \(0.161729\pi\)
−0.471958 + 0.881621i \(0.656453\pi\)
\(710\) 23.9449 + 14.4032i 0.898637 + 0.540543i
\(711\) 11.1400 + 33.3470i 0.417783 + 1.25061i
\(712\) −10.5412 −0.395047
\(713\) 17.1382 + 23.3054i 0.641831 + 0.872795i
\(714\) 5.60465 + 4.67868i 0.209749 + 0.175095i
\(715\) −15.7832 + 0.468363i −0.590258 + 0.0175158i
\(716\) −7.36004 3.36122i −0.275058 0.125615i
\(717\) 24.3663 + 10.5902i 0.909976 + 0.395499i
\(718\) 7.81698 9.02128i 0.291727 0.336671i
\(719\) −7.20030 + 24.5220i −0.268526 + 0.914515i 0.709267 + 0.704940i \(0.249026\pi\)
−0.977793 + 0.209575i \(0.932792\pi\)
\(720\) −3.99358 5.38993i −0.148832 0.200871i
\(721\) 3.57165 + 7.82082i 0.133015 + 0.291263i
\(722\) −11.7477 13.5576i −0.437205 0.504561i
\(723\) −9.67184 30.8287i −0.359700 1.14653i
\(724\) 4.47749 + 0.643766i 0.166405 + 0.0239254i
\(725\) 12.0950 + 4.67822i 0.449196 + 0.173745i
\(726\) 15.9851 5.01499i 0.593264 0.186124i
\(727\) 8.64617 + 9.97821i 0.320669 + 0.370071i 0.893082 0.449894i \(-0.148538\pi\)
−0.572413 + 0.819965i \(0.693993\pi\)
\(728\) −11.0381 + 5.04093i −0.409099 + 0.186829i
\(729\) 24.1841 + 12.0053i 0.895709 + 0.444642i
\(730\) 2.35077 5.57979i 0.0870058 0.206517i
\(731\) −19.7036 17.0733i −0.728763 0.631477i
\(732\) 17.3369 + 7.53507i 0.640792 + 0.278504i
\(733\) −13.7383 + 30.0827i −0.507436 + 1.11113i 0.466545 + 0.884497i \(0.345499\pi\)
−0.973981 + 0.226632i \(0.927229\pi\)
\(734\) −0.589501 4.10007i −0.0217589 0.151336i
\(735\) 8.62967 8.23613i 0.318310 0.303794i
\(736\) 3.81462 + 2.90665i 0.140609 + 0.107141i
\(737\) 7.16266 0.263840
\(738\) 2.95042 + 8.83192i 0.108607 + 0.325107i
\(739\) 7.44755 16.3079i 0.273963 0.599894i −0.721775 0.692128i \(-0.756673\pi\)
0.995737 + 0.0922336i \(0.0294006\pi\)
\(740\) 18.7137 3.25986i 0.687929 0.119835i
\(741\) 1.75489 + 10.7917i 0.0644674 + 0.396442i
\(742\) 2.49920 8.51150i 0.0917486 0.312467i
\(743\) −20.5905 32.0395i −0.755393 1.17541i −0.979617 0.200877i \(-0.935621\pi\)
0.224223 0.974538i \(-0.428015\pi\)
\(744\) 10.0770 + 2.75849i 0.369442 + 0.101131i
\(745\) 12.2609 + 17.8884i 0.449203 + 0.655381i
\(746\) 6.92995 + 4.45361i 0.253724 + 0.163058i
\(747\) 1.85342 + 50.3308i 0.0678132 + 1.84151i
\(748\) −2.42795 0.349087i −0.0887748 0.0127639i
\(749\) 0.310580 0.483272i 0.0113483 0.0176584i
\(750\) 18.3758 + 6.10987i 0.670989 + 0.223101i
\(751\) 15.5589 7.10551i 0.567752 0.259284i −0.110792 0.993844i \(-0.535339\pi\)
0.678544 + 0.734560i \(0.262611\pi\)
\(752\) −3.82812 + 2.46018i −0.139597 + 0.0897135i
\(753\) 4.14104 2.77027i 0.150908 0.100954i
\(754\) −10.4100 + 12.0138i −0.379109 + 0.437515i
\(755\) 4.87091 0.848495i 0.177271 0.0308799i
\(756\) 8.33447 6.03109i 0.303122 0.219349i
\(757\) −1.32280 9.20027i −0.0480780 0.334389i −0.999637 0.0269249i \(-0.991429\pi\)
0.951560 0.307465i \(-0.0994806\pi\)
\(758\) 23.6563i 0.859236i
\(759\) −8.35409 + 4.66942i −0.303234 + 0.169489i
\(760\) −0.259989 + 2.28825i −0.00943078 + 0.0830037i
\(761\) 29.6915 4.26899i 1.07632 0.154751i 0.418716 0.908117i \(-0.362480\pi\)
0.657601 + 0.753366i \(0.271571\pi\)
\(762\) −4.69186 + 2.24796i −0.169968 + 0.0814349i
\(763\) 1.98318 + 6.75408i 0.0717958 + 0.244514i
\(764\) 8.71049 10.0524i 0.315134 0.363684i
\(765\) 13.9402 + 3.10450i 0.504009 + 0.112243i
\(766\) −8.92915 13.8940i −0.322623 0.502012i
\(767\) 14.6379 + 32.0525i 0.528544 + 1.15735i
\(768\) 1.73176 0.0318750i 0.0624894 0.00115019i
\(769\) −22.6676 + 35.2714i −0.817413 + 1.27192i 0.141986 + 0.989869i \(0.454651\pi\)
−0.959399 + 0.282051i \(0.908985\pi\)
\(770\) 1.29124 4.93459i 0.0465331 0.177830i
\(771\) −9.20264 10.2336i −0.331425 0.368556i
\(772\) −3.07453 + 4.78406i −0.110655 + 0.172182i
\(773\) 5.07104 4.39408i 0.182393 0.158044i −0.558879 0.829249i \(-0.688768\pi\)
0.741272 + 0.671205i \(0.234223\pi\)