Properties

Label 64.2.i.a.5.4
Level $64$
Weight $2$
Character 64.5
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 5.4
Character \(\chi\) \(=\) 64.5
Dual form 64.2.i.a.13.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0973444 + 1.41086i) q^{2} +(0.306211 + 0.204603i) q^{3} +(-1.98105 + 0.274678i) q^{4} +(1.42470 + 0.283390i) q^{5} +(-0.258859 + 0.451937i) q^{6} +(-0.666723 + 1.60961i) q^{7} +(-0.580376 - 2.76824i) q^{8} +(-1.09615 - 2.64634i) q^{9} +O(q^{10})\) \(q+(0.0973444 + 1.41086i) q^{2} +(0.306211 + 0.204603i) q^{3} +(-1.98105 + 0.274678i) q^{4} +(1.42470 + 0.283390i) q^{5} +(-0.258859 + 0.451937i) q^{6} +(-0.666723 + 1.60961i) q^{7} +(-0.580376 - 2.76824i) q^{8} +(-1.09615 - 2.64634i) q^{9} +(-0.261137 + 2.03763i) q^{10} +(-1.65860 - 2.48226i) q^{11} +(-0.662818 - 0.321220i) q^{12} +(5.03569 - 1.00166i) q^{13} +(-2.33584 - 0.783966i) q^{14} +(0.378274 + 0.378274i) q^{15} +(3.84910 - 1.08830i) q^{16} +(-1.55248 + 1.55248i) q^{17} +(3.62690 - 1.80412i) q^{18} +(-0.0359002 - 0.180483i) q^{19} +(-2.90023 - 0.170075i) q^{20} +(-0.533490 + 0.356467i) q^{21} +(3.34067 - 2.58168i) q^{22} +(-6.50946 + 2.69631i) q^{23} +(0.388674 - 0.966412i) q^{24} +(-2.66995 - 1.10593i) q^{25} +(1.90340 + 7.00714i) q^{26} +(0.421339 - 2.11821i) q^{27} +(0.878685 - 3.37185i) q^{28} +(0.0389072 - 0.0582287i) q^{29} +(-0.496869 + 0.570515i) q^{30} +6.25272i q^{31} +(1.91013 + 5.32460i) q^{32} -1.09945i q^{33} +(-2.34146 - 2.03921i) q^{34} +(-1.40602 + 2.10426i) q^{35} +(2.89841 + 4.94143i) q^{36} +(-1.63291 + 8.20918i) q^{37} +(0.251141 - 0.0682192i) q^{38} +(1.74693 + 0.723600i) q^{39} +(-0.0423689 - 4.10837i) q^{40} +(-6.98521 + 2.89337i) q^{41} +(-0.554857 - 0.717979i) q^{42} +(9.23959 - 6.17369i) q^{43} +(3.96758 + 4.46190i) q^{44} +(-0.811733 - 4.08086i) q^{45} +(-4.43777 - 8.92146i) q^{46} +(7.84283 - 7.84283i) q^{47} +(1.40131 + 0.454290i) q^{48} +(2.80342 + 2.80342i) q^{49} +(1.30041 - 3.87458i) q^{50} +(-0.793030 + 0.157743i) q^{51} +(-9.70081 + 3.36753i) q^{52} +(-1.21975 - 1.82549i) q^{53} +(3.02951 + 0.388253i) q^{54} +(-1.65955 - 4.00650i) q^{55} +(4.84275 + 0.911470i) q^{56} +(0.0259343 - 0.0626110i) q^{57} +(0.0859400 + 0.0492244i) q^{58} +(-8.31975 - 1.65490i) q^{59} +(-0.853284 - 0.645476i) q^{60} +(-3.29205 - 2.19968i) q^{61} +(-8.82172 + 0.608668i) q^{62} +4.99040 q^{63} +(-7.32633 + 3.21324i) q^{64} +7.45818 q^{65} +(1.55117 - 0.107025i) q^{66} +(13.1855 + 8.81029i) q^{67} +(2.64911 - 3.50197i) q^{68} +(-2.54494 - 0.506220i) q^{69} +(-3.10569 - 1.77886i) q^{70} +(1.13245 - 2.73397i) q^{71} +(-6.68952 + 4.57027i) q^{72} +(-3.74820 - 9.04896i) q^{73} +(-11.7410 - 1.50469i) q^{74} +(-0.591290 - 0.884929i) q^{75} +(0.120695 + 0.347684i) q^{76} +(5.10131 - 1.01471i) q^{77} +(-0.850845 + 2.53510i) q^{78} +(-1.58284 - 1.58284i) q^{79} +(5.79221 - 0.459704i) q^{80} +(-5.51384 + 5.51384i) q^{81} +(-4.76211 - 9.57349i) q^{82} +(-1.12345 - 5.64796i) q^{83} +(0.958956 - 0.852716i) q^{84} +(-2.65177 + 1.77186i) q^{85} +(9.60964 + 12.4348i) q^{86} +(0.0238276 - 0.00986972i) q^{87} +(-5.90890 + 6.03204i) q^{88} +(14.5341 + 6.02023i) q^{89} +(5.67850 - 1.54249i) q^{90} +(-1.74513 + 8.77334i) q^{91} +(12.1549 - 7.12952i) q^{92} +(-1.27933 + 1.91465i) q^{93} +(11.8286 + 10.3017i) q^{94} -0.267307i q^{95} +(-0.504530 + 2.02127i) q^{96} -5.25588i q^{97} +(-3.68233 + 4.22812i) q^{98} +(-4.75084 + 7.11013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0973444 + 1.41086i 0.0688329 + 0.997628i
\(3\) 0.306211 + 0.204603i 0.176791 + 0.118128i 0.640817 0.767694i \(-0.278596\pi\)
−0.464026 + 0.885821i \(0.653596\pi\)
\(4\) −1.98105 + 0.274678i −0.990524 + 0.137339i
\(5\) 1.42470 + 0.283390i 0.637143 + 0.126736i 0.503084 0.864238i \(-0.332199\pi\)
0.134059 + 0.990973i \(0.457199\pi\)
\(6\) −0.258859 + 0.451937i −0.105679 + 0.184503i
\(7\) −0.666723 + 1.60961i −0.251998 + 0.608376i −0.998365 0.0571578i \(-0.981796\pi\)
0.746367 + 0.665534i \(0.231796\pi\)
\(8\) −0.580376 2.76824i −0.205194 0.978721i
\(9\) −1.09615 2.64634i −0.365383 0.882112i
\(10\) −0.261137 + 2.03763i −0.0825787 + 0.644356i
\(11\) −1.65860 2.48226i −0.500086 0.748431i 0.492456 0.870337i \(-0.336099\pi\)
−0.992542 + 0.121906i \(0.961099\pi\)
\(12\) −0.662818 0.321220i −0.191339 0.0927282i
\(13\) 5.03569 1.00166i 1.39665 0.277811i 0.561337 0.827587i \(-0.310287\pi\)
0.835312 + 0.549776i \(0.185287\pi\)
\(14\) −2.33584 0.783966i −0.624279 0.209524i
\(15\) 0.378274 + 0.378274i 0.0976700 + 0.0976700i
\(16\) 3.84910 1.08830i 0.962276 0.272076i
\(17\) −1.55248 + 1.55248i −0.376532 + 0.376532i −0.869849 0.493317i \(-0.835784\pi\)
0.493317 + 0.869849i \(0.335784\pi\)
\(18\) 3.62690 1.80412i 0.854869 0.425234i
\(19\) −0.0359002 0.180483i −0.00823608 0.0414056i 0.976449 0.215750i \(-0.0692195\pi\)
−0.984685 + 0.174344i \(0.944220\pi\)
\(20\) −2.90023 0.170075i −0.648511 0.0380300i
\(21\) −0.533490 + 0.356467i −0.116417 + 0.0777874i
\(22\) 3.34067 2.58168i 0.712233 0.550416i
\(23\) −6.50946 + 2.69631i −1.35732 + 0.562219i −0.938320 0.345769i \(-0.887618\pi\)
−0.418997 + 0.907988i \(0.637618\pi\)
\(24\) 0.388674 0.966412i 0.0793378 0.197268i
\(25\) −2.66995 1.10593i −0.533990 0.221186i
\(26\) 1.90340 + 7.00714i 0.373287 + 1.37421i
\(27\) 0.421339 2.11821i 0.0810866 0.407650i
\(28\) 0.878685 3.37185i 0.166056 0.637221i
\(29\) 0.0389072 0.0582287i 0.00722489 0.0108128i −0.827840 0.560965i \(-0.810430\pi\)
0.835064 + 0.550152i \(0.185430\pi\)
\(30\) −0.496869 + 0.570515i −0.0907155 + 0.104161i
\(31\) 6.25272i 1.12302i 0.827469 + 0.561511i \(0.189780\pi\)
−0.827469 + 0.561511i \(0.810220\pi\)
\(32\) 1.91013 + 5.32460i 0.337666 + 0.941266i
\(33\) 1.09945i 0.191390i
\(34\) −2.34146 2.03921i −0.401557 0.349721i
\(35\) −1.40602 + 2.10426i −0.237662 + 0.355686i
\(36\) 2.89841 + 4.94143i 0.483069 + 0.823572i
\(37\) −1.63291 + 8.20918i −0.268448 + 1.34958i 0.577532 + 0.816368i \(0.304016\pi\)
−0.845981 + 0.533213i \(0.820984\pi\)
\(38\) 0.251141 0.0682192i 0.0407405 0.0110666i
\(39\) 1.74693 + 0.723600i 0.279732 + 0.115869i
\(40\) −0.0423689 4.10837i −0.00669911 0.649591i
\(41\) −6.98521 + 2.89337i −1.09091 + 0.451868i −0.854323 0.519743i \(-0.826028\pi\)
−0.236584 + 0.971611i \(0.576028\pi\)
\(42\) −0.554857 0.717979i −0.0856162 0.110787i
\(43\) 9.23959 6.17369i 1.40902 0.941480i 0.409449 0.912333i \(-0.365721\pi\)
0.999575 0.0291463i \(-0.00927887\pi\)
\(44\) 3.96758 + 4.46190i 0.598136 + 0.672657i
\(45\) −0.811733 4.08086i −0.121006 0.608338i
\(46\) −4.43777 8.92146i −0.654313 1.31540i
\(47\) 7.84283 7.84283i 1.14399 1.14399i 0.156281 0.987713i \(-0.450049\pi\)
0.987713 0.156281i \(-0.0499507\pi\)
\(48\) 1.40131 + 0.454290i 0.202261 + 0.0655711i
\(49\) 2.80342 + 2.80342i 0.400488 + 0.400488i
\(50\) 1.30041 3.87458i 0.183905 0.547948i
\(51\) −0.793030 + 0.157743i −0.111046 + 0.0220885i
\(52\) −9.70081 + 3.36753i −1.34526 + 0.466993i
\(53\) −1.21975 1.82549i −0.167546 0.250750i 0.738190 0.674593i \(-0.235681\pi\)
−0.905736 + 0.423843i \(0.860681\pi\)
\(54\) 3.02951 + 0.388253i 0.412265 + 0.0528346i
\(55\) −1.65955 4.00650i −0.223773 0.540236i
\(56\) 4.84275 + 0.911470i 0.647139 + 0.121800i
\(57\) 0.0259343 0.0626110i 0.00343509 0.00829304i
\(58\) 0.0859400 + 0.0492244i 0.0112845 + 0.00646347i
\(59\) −8.31975 1.65490i −1.08314 0.215450i −0.378918 0.925430i \(-0.623704\pi\)
−0.704221 + 0.709981i \(0.748704\pi\)
\(60\) −0.853284 0.645476i −0.110158 0.0833306i
\(61\) −3.29205 2.19968i −0.421504 0.281640i 0.326675 0.945137i \(-0.394072\pi\)
−0.748179 + 0.663497i \(0.769072\pi\)
\(62\) −8.82172 + 0.608668i −1.12036 + 0.0773009i
\(63\) 4.99040 0.628731
\(64\) −7.32633 + 3.21324i −0.915791 + 0.401656i
\(65\) 7.45818 0.925074
\(66\) 1.55117 0.107025i 0.190936 0.0131739i
\(67\) 13.1855 + 8.81029i 1.61087 + 1.07635i 0.943372 + 0.331736i \(0.107634\pi\)
0.667497 + 0.744612i \(0.267366\pi\)
\(68\) 2.64911 3.50197i 0.321252 0.424677i
\(69\) −2.54494 0.506220i −0.306375 0.0609417i
\(70\) −3.10569 1.77886i −0.371201 0.212615i
\(71\) 1.13245 2.73397i 0.134397 0.324462i −0.842326 0.538968i \(-0.818814\pi\)
0.976723 + 0.214506i \(0.0688142\pi\)
\(72\) −6.68952 + 4.57027i −0.788367 + 0.538612i
\(73\) −3.74820 9.04896i −0.438694 1.05910i −0.976400 0.215969i \(-0.930709\pi\)
0.537706 0.843132i \(-0.319291\pi\)
\(74\) −11.7410 1.50469i −1.36486 0.174916i
\(75\) −0.591290 0.884929i −0.0682763 0.102183i
\(76\) 0.120695 + 0.347684i 0.0138446 + 0.0398821i
\(77\) 5.10131 1.01471i 0.581348 0.115637i
\(78\) −0.850845 + 2.53510i −0.0963392 + 0.287044i
\(79\) −1.58284 1.58284i −0.178083 0.178083i 0.612436 0.790520i \(-0.290190\pi\)
−0.790520 + 0.612436i \(0.790190\pi\)
\(80\) 5.79221 0.459704i 0.647589 0.0513964i
\(81\) −5.51384 + 5.51384i −0.612649 + 0.612649i
\(82\) −4.76211 9.57349i −0.525887 1.05722i
\(83\) −1.12345 5.64796i −0.123314 0.619944i −0.992172 0.124881i \(-0.960145\pi\)
0.868857 0.495063i \(-0.164855\pi\)
\(84\) 0.958956 0.852716i 0.104631 0.0930389i
\(85\) −2.65177 + 1.77186i −0.287625 + 0.192185i
\(86\) 9.60964 + 12.4348i 1.03623 + 1.34088i
\(87\) 0.0238276 0.00986972i 0.00255459 0.00105814i
\(88\) −5.90890 + 6.03204i −0.629891 + 0.643018i
\(89\) 14.5341 + 6.02023i 1.54061 + 0.638143i 0.981588 0.191009i \(-0.0611759\pi\)
0.559024 + 0.829151i \(0.311176\pi\)
\(90\) 5.67850 1.54249i 0.598566 0.162593i
\(91\) −1.74513 + 8.77334i −0.182939 + 0.919696i
\(92\) 12.1549 7.12952i 1.26724 0.743304i
\(93\) −1.27933 + 1.91465i −0.132660 + 0.198540i
\(94\) 11.8286 + 10.3017i 1.22003 + 1.06254i
\(95\) 0.267307i 0.0274251i
\(96\) −0.504530 + 2.02127i −0.0514934 + 0.206295i
\(97\) 5.25588i 0.533654i −0.963744 0.266827i \(-0.914025\pi\)
0.963744 0.266827i \(-0.0859753\pi\)
\(98\) −3.68233 + 4.22812i −0.371971 + 0.427105i
\(99\) −4.75084 + 7.11013i −0.477477 + 0.714595i
\(100\) 5.59308 + 1.45752i 0.559308 + 0.145752i
\(101\) −0.994080 + 4.99758i −0.0989146 + 0.497278i 0.899288 + 0.437356i \(0.144085\pi\)
−0.998203 + 0.0599215i \(0.980915\pi\)
\(102\) −0.299751 1.10350i −0.0296797 0.109263i
\(103\) 0.990660 + 0.410345i 0.0976127 + 0.0404325i 0.430955 0.902373i \(-0.358177\pi\)
−0.333343 + 0.942806i \(0.608177\pi\)
\(104\) −5.69544 13.3587i −0.558483 1.30993i
\(105\) −0.861080 + 0.356671i −0.0840328 + 0.0348075i
\(106\) 2.45677 1.89860i 0.238623 0.184409i
\(107\) −3.35832 + 2.24396i −0.324661 + 0.216932i −0.707210 0.707004i \(-0.750046\pi\)
0.382549 + 0.923935i \(0.375046\pi\)
\(108\) −0.252865 + 4.31201i −0.0243319 + 0.414924i
\(109\) 0.692578 + 3.48183i 0.0663370 + 0.333498i 0.999675 0.0255008i \(-0.00811805\pi\)
−0.933338 + 0.358999i \(0.883118\pi\)
\(110\) 5.49106 2.73140i 0.523552 0.260428i
\(111\) −2.17964 + 2.17964i −0.206882 + 0.206882i
\(112\) −0.814542 + 6.92116i −0.0769670 + 0.653988i
\(113\) 5.12191 + 5.12191i 0.481829 + 0.481829i 0.905715 0.423886i \(-0.139334\pi\)
−0.423886 + 0.905715i \(0.639334\pi\)
\(114\) 0.0908599 + 0.0304949i 0.00850981 + 0.00285611i
\(115\) −10.0381 + 1.99670i −0.936058 + 0.186194i
\(116\) −0.0610829 + 0.126041i −0.00567140 + 0.0117026i
\(117\) −8.17059 12.2282i −0.755371 1.13049i
\(118\) 1.52495 11.8991i 0.140383 1.09540i
\(119\) −1.46382 3.53397i −0.134188 0.323958i
\(120\) 0.827614 1.26670i 0.0755504 0.115633i
\(121\) 0.798822 1.92853i 0.0726202 0.175321i
\(122\) 2.78297 4.85874i 0.251958 0.439890i
\(123\) −2.73094 0.543217i −0.246240 0.0489803i
\(124\) −1.71749 12.3869i −0.154235 1.11238i
\(125\) −9.52945 6.36737i −0.852340 0.569515i
\(126\) 0.485787 + 7.04075i 0.0432774 + 0.627240i
\(127\) −2.94406 −0.261243 −0.130622 0.991432i \(-0.541697\pi\)
−0.130622 + 0.991432i \(0.541697\pi\)
\(128\) −5.24661 10.0236i −0.463739 0.885972i
\(129\) 4.09242 0.360317
\(130\) 0.726012 + 10.5224i 0.0636755 + 0.922880i
\(131\) −6.41752 4.28805i −0.560701 0.374648i 0.242687 0.970105i \(-0.421971\pi\)
−0.803388 + 0.595456i \(0.796971\pi\)
\(132\) 0.301995 + 2.17806i 0.0262853 + 0.189576i
\(133\) 0.314443 + 0.0625465i 0.0272656 + 0.00542347i
\(134\) −11.1465 + 19.4606i −0.962915 + 1.68114i
\(135\) 1.20056 2.89840i 0.103328 0.249455i
\(136\) 5.19867 + 3.39662i 0.445782 + 0.291258i
\(137\) 1.69028 + 4.08071i 0.144411 + 0.348638i 0.979490 0.201491i \(-0.0645786\pi\)
−0.835080 + 0.550129i \(0.814579\pi\)
\(138\) 0.466470 3.63983i 0.0397085 0.309843i
\(139\) 4.34787 + 6.50705i 0.368782 + 0.551921i 0.968730 0.248118i \(-0.0798121\pi\)
−0.599948 + 0.800039i \(0.704812\pi\)
\(140\) 2.20741 4.55485i 0.186560 0.384955i
\(141\) 4.00623 0.796888i 0.337385 0.0671101i
\(142\) 3.96748 + 1.33159i 0.332944 + 0.111744i
\(143\) −10.8386 10.8386i −0.906366 0.906366i
\(144\) −7.09920 8.99308i −0.591600 0.749423i
\(145\) 0.0719323 0.0719323i 0.00597365 0.00597365i
\(146\) 12.4019 6.16905i 1.02639 0.510554i
\(147\) 0.284847 + 1.43202i 0.0234938 + 0.118111i
\(148\) 0.979984 16.7113i 0.0805542 1.37366i
\(149\) 10.7964 7.21395i 0.884479 0.590990i −0.0282295 0.999601i \(-0.508987\pi\)
0.912708 + 0.408612i \(0.133987\pi\)
\(150\) 1.19095 0.920370i 0.0972407 0.0751479i
\(151\) −9.79563 + 4.05748i −0.797157 + 0.330193i −0.743817 0.668383i \(-0.766987\pi\)
−0.0533397 + 0.998576i \(0.516987\pi\)
\(152\) −0.478784 + 0.204128i −0.0388345 + 0.0165570i
\(153\) 5.81014 + 2.40664i 0.469722 + 0.194565i
\(154\) 1.92820 + 7.09845i 0.155379 + 0.572010i
\(155\) −1.77196 + 8.90823i −0.142327 + 0.715526i
\(156\) −3.65950 0.953644i −0.292995 0.0763526i
\(157\) −4.31959 + 6.46472i −0.344741 + 0.515941i −0.962809 0.270184i \(-0.912916\pi\)
0.618068 + 0.786124i \(0.287916\pi\)
\(158\) 2.07908 2.38724i 0.165403 0.189919i
\(159\) 0.808550i 0.0641222i
\(160\) 1.21242 + 8.12725i 0.0958499 + 0.642515i
\(161\) 12.2754i 0.967437i
\(162\) −8.31599 7.24251i −0.653366 0.569025i
\(163\) 0.437112 0.654184i 0.0342372 0.0512396i −0.813956 0.580926i \(-0.802690\pi\)
0.848193 + 0.529687i \(0.177690\pi\)
\(164\) 13.0433 7.65059i 1.01851 0.597410i
\(165\) 0.311573 1.56638i 0.0242559 0.121943i
\(166\) 7.85911 2.13482i 0.609985 0.165695i
\(167\) 17.5845 + 7.28375i 1.36073 + 0.563633i 0.939259 0.343208i \(-0.111514\pi\)
0.421472 + 0.906841i \(0.361514\pi\)
\(168\) 1.29641 + 1.26994i 0.100020 + 0.0979784i
\(169\) 12.3444 5.11322i 0.949570 0.393325i
\(170\) −2.75798 3.56879i −0.211527 0.273714i
\(171\) −0.438266 + 0.292840i −0.0335150 + 0.0223940i
\(172\) −16.6083 + 14.7683i −1.26637 + 1.12607i
\(173\) 0.285668 + 1.43615i 0.0217189 + 0.109188i 0.990124 0.140194i \(-0.0447725\pi\)
−0.968405 + 0.249382i \(0.919773\pi\)
\(174\) 0.0162443 + 0.0326566i 0.00123147 + 0.00247569i
\(175\) 3.56024 3.56024i 0.269129 0.269129i
\(176\) −9.08556 7.74944i −0.684850 0.584136i
\(177\) −2.20900 2.20900i −0.166038 0.166038i
\(178\) −7.07888 + 21.0916i −0.530584 + 1.58088i
\(179\) 9.41568 1.87290i 0.703761 0.139987i 0.169778 0.985482i \(-0.445695\pi\)
0.533983 + 0.845496i \(0.320695\pi\)
\(180\) 2.72901 + 7.86141i 0.203408 + 0.585955i
\(181\) 1.23999 + 1.85578i 0.0921677 + 0.137939i 0.874688 0.484686i \(-0.161066\pi\)
−0.782520 + 0.622625i \(0.786066\pi\)
\(182\) −12.5478 1.60809i −0.930107 0.119200i
\(183\) −0.557999 1.34713i −0.0412485 0.0995826i
\(184\) 11.2420 + 16.4549i 0.828769 + 1.21307i
\(185\) −4.65279 + 11.2328i −0.342080 + 0.825854i
\(186\) −2.82584 1.61857i −0.207201 0.118680i
\(187\) 6.42861 + 1.27873i 0.470107 + 0.0935100i
\(188\) −13.3828 + 17.6913i −0.976038 + 1.29027i
\(189\) 3.12858 + 2.09045i 0.227571 + 0.152058i
\(190\) 0.377132 0.0260208i 0.0273600 0.00188775i
\(191\) −13.2544 −0.959054 −0.479527 0.877527i \(-0.659192\pi\)
−0.479527 + 0.877527i \(0.659192\pi\)
\(192\) −2.90084 0.515062i −0.209350 0.0371714i
\(193\) −9.34813 −0.672893 −0.336447 0.941703i \(-0.609225\pi\)
−0.336447 + 0.941703i \(0.609225\pi\)
\(194\) 7.41531 0.511631i 0.532388 0.0367329i
\(195\) 2.28378 + 1.52597i 0.163545 + 0.109277i
\(196\) −6.32374 4.78366i −0.451696 0.341690i
\(197\) 16.0043 + 3.18345i 1.14026 + 0.226812i 0.728873 0.684649i \(-0.240045\pi\)
0.411387 + 0.911461i \(0.365045\pi\)
\(198\) −10.4939 6.01063i −0.745766 0.427157i
\(199\) 2.57784 6.22346i 0.182738 0.441170i −0.805791 0.592201i \(-0.798259\pi\)
0.988529 + 0.151031i \(0.0482593\pi\)
\(200\) −1.51190 + 8.03292i −0.106908 + 0.568014i
\(201\) 2.23494 + 5.39561i 0.157640 + 0.380577i
\(202\) −7.14765 0.916021i −0.502907 0.0644510i
\(203\) 0.0677854 + 0.101448i 0.00475760 + 0.00712025i
\(204\) 1.52770 0.530325i 0.106960 0.0371302i
\(205\) −10.7717 + 2.14263i −0.752331 + 0.149648i
\(206\) −0.482504 + 1.43763i −0.0336176 + 0.100164i
\(207\) 14.2707 + 14.2707i 0.991880 + 0.991880i
\(208\) 18.2928 9.33585i 1.26838 0.647325i
\(209\) −0.388462 + 0.388462i −0.0268705 + 0.0268705i
\(210\) −0.587034 1.18014i −0.0405092 0.0814376i
\(211\) −4.14756 20.8512i −0.285530 1.43546i −0.811201 0.584768i \(-0.801186\pi\)
0.525671 0.850688i \(-0.323814\pi\)
\(212\) 2.91781 + 3.28134i 0.200396 + 0.225364i
\(213\) 0.906147 0.605468i 0.0620881 0.0414860i
\(214\) −3.49282 4.51968i −0.238765 0.308959i
\(215\) 14.9132 6.17723i 1.01707 0.421284i
\(216\) −6.10826 + 0.0629934i −0.415614 + 0.00428616i
\(217\) −10.0645 4.16884i −0.683220 0.282999i
\(218\) −4.84495 + 1.31607i −0.328141 + 0.0891353i
\(219\) 0.703709 3.53778i 0.0475522 0.239061i
\(220\) 4.38814 + 7.48123i 0.295848 + 0.504384i
\(221\) −6.26276 + 9.37288i −0.421279 + 0.630488i
\(222\) −3.28734 2.86299i −0.220632 0.192151i
\(223\) 18.1448i 1.21507i 0.794294 + 0.607533i \(0.207841\pi\)
−0.794294 + 0.607533i \(0.792159\pi\)
\(224\) −9.84408 0.475468i −0.657735 0.0317686i
\(225\) 8.27785i 0.551856i
\(226\) −6.72771 + 7.72489i −0.447521 + 0.513852i
\(227\) 13.5289 20.2475i 0.897946 1.34387i −0.0407657 0.999169i \(-0.512980\pi\)
0.938712 0.344703i \(-0.112020\pi\)
\(228\) −0.0341793 + 0.131159i −0.00226358 + 0.00868622i
\(229\) 3.24498 16.3136i 0.214434 1.07803i −0.712173 0.702004i \(-0.752289\pi\)
0.926607 0.376031i \(-0.122711\pi\)
\(230\) −3.79422 13.9680i −0.250183 0.921022i
\(231\) 1.76969 + 0.733029i 0.116437 + 0.0482298i
\(232\) −0.183772 0.0739100i −0.0120652 0.00485243i
\(233\) −7.94074 + 3.28916i −0.520215 + 0.215480i −0.627311 0.778769i \(-0.715845\pi\)
0.107096 + 0.994249i \(0.465845\pi\)
\(234\) 16.4568 12.7179i 1.07582 0.831395i
\(235\) 13.3962 8.95106i 0.873873 0.583903i
\(236\) 16.9364 + 0.993183i 1.10246 + 0.0646507i
\(237\) −0.160828 0.808537i −0.0104469 0.0525201i
\(238\) 4.84344 2.40925i 0.313954 0.156169i
\(239\) −10.9591 + 10.9591i −0.708886 + 0.708886i −0.966301 0.257415i \(-0.917129\pi\)
0.257415 + 0.966301i \(0.417129\pi\)
\(240\) 1.86769 + 1.04434i 0.120559 + 0.0674119i
\(241\) −20.9147 20.9147i −1.34723 1.34723i −0.888651 0.458584i \(-0.848357\pi\)
−0.458584 0.888651i \(-0.651643\pi\)
\(242\) 2.79864 + 0.939294i 0.179903 + 0.0603801i
\(243\) −9.17118 + 1.82426i −0.588332 + 0.117026i
\(244\) 7.12591 + 3.45341i 0.456190 + 0.221082i
\(245\) 3.19955 + 4.78847i 0.204412 + 0.305924i
\(246\) 0.500562 3.90585i 0.0319147 0.249028i
\(247\) −0.361565 0.872895i −0.0230058 0.0555410i
\(248\) 17.3091 3.62893i 1.09913 0.230438i
\(249\) 0.811579 1.95933i 0.0514318 0.124167i
\(250\) 8.05583 14.0645i 0.509495 0.889520i
\(251\) 5.57057 + 1.10806i 0.351611 + 0.0699398i 0.367736 0.929930i \(-0.380133\pi\)
−0.0161250 + 0.999870i \(0.505133\pi\)
\(252\) −9.88622 + 1.37076i −0.622774 + 0.0863495i
\(253\) 17.4895 + 11.6861i 1.09956 + 0.734700i
\(254\) −0.286588 4.15365i −0.0179821 0.260623i
\(255\) −1.17453 −0.0735518
\(256\) 13.6312 8.37798i 0.851950 0.523624i
\(257\) −18.3131 −1.14234 −0.571171 0.820831i \(-0.693511\pi\)
−0.571171 + 0.820831i \(0.693511\pi\)
\(258\) 0.398374 + 5.77383i 0.0248017 + 0.359463i
\(259\) −12.1249 8.10160i −0.753405 0.503409i
\(260\) −14.7750 + 2.04860i −0.916308 + 0.127049i
\(261\) −0.196741 0.0391342i −0.0121780 0.00242235i
\(262\) 5.42512 9.47163i 0.335165 0.585159i
\(263\) −5.81316 + 14.0342i −0.358455 + 0.865387i 0.637063 + 0.770812i \(0.280149\pi\)
−0.995518 + 0.0945749i \(0.969851\pi\)
\(264\) −3.04354 + 0.638095i −0.187317 + 0.0392720i
\(265\) −1.22045 2.94643i −0.0749718 0.180998i
\(266\) −0.0576352 + 0.449723i −0.00353384 + 0.0275743i
\(267\) 3.21874 + 4.81719i 0.196984 + 0.294807i
\(268\) −28.5412 13.8318i −1.74343 0.844914i
\(269\) −13.7633 + 2.73769i −0.839162 + 0.166920i −0.595918 0.803045i \(-0.703212\pi\)
−0.243244 + 0.969965i \(0.578212\pi\)
\(270\) 4.20611 + 1.41168i 0.255976 + 0.0859118i
\(271\) −17.1462 17.1462i −1.04156 1.04156i −0.999098 0.0424570i \(-0.986481\pi\)
−0.0424570 0.999098i \(-0.513519\pi\)
\(272\) −4.28609 + 7.66523i −0.259883 + 0.464773i
\(273\) −2.32943 + 2.32943i −0.140984 + 0.140984i
\(274\) −5.59276 + 2.78199i −0.337871 + 0.168066i
\(275\) 1.68316 + 8.46181i 0.101498 + 0.510267i
\(276\) 5.18070 + 0.303806i 0.311841 + 0.0182870i
\(277\) −5.37310 + 3.59019i −0.322838 + 0.215714i −0.706419 0.707794i \(-0.749691\pi\)
0.383581 + 0.923507i \(0.374691\pi\)
\(278\) −8.75729 + 6.76766i −0.525228 + 0.405897i
\(279\) 16.5468 6.85391i 0.990631 0.410333i
\(280\) 6.64114 + 2.67095i 0.396884 + 0.159620i
\(281\) 2.20599 + 0.913752i 0.131598 + 0.0545099i 0.447511 0.894279i \(-0.352311\pi\)
−0.315912 + 0.948788i \(0.602311\pi\)
\(282\) 1.51428 + 5.57465i 0.0901741 + 0.331966i
\(283\) 1.14821 5.77245i 0.0682541 0.343137i −0.931535 0.363651i \(-0.881530\pi\)
0.999790 + 0.0205138i \(0.00653021\pi\)
\(284\) −1.49247 + 5.72718i −0.0885618 + 0.339846i
\(285\) 0.0546919 0.0818521i 0.00323967 0.00484850i
\(286\) 14.2366 16.3468i 0.841829 0.966604i
\(287\) 13.1726i 0.777551i
\(288\) 11.9969 10.8914i 0.706924 0.641782i
\(289\) 12.1796i 0.716447i
\(290\) 0.108489 + 0.0944842i 0.00637067 + 0.00554830i
\(291\) 1.07537 1.60941i 0.0630394 0.0943452i
\(292\) 9.91093 + 16.8969i 0.579993 + 0.988815i
\(293\) −0.402515 + 2.02358i −0.0235152 + 0.118219i −0.990760 0.135626i \(-0.956695\pi\)
0.967245 + 0.253845i \(0.0816953\pi\)
\(294\) −1.99266 + 0.541279i −0.116214 + 0.0315680i
\(295\) −11.3841 4.71546i −0.662809 0.274545i
\(296\) 23.6727 0.244132i 1.37595 0.0141899i
\(297\) −5.95679 + 2.46738i −0.345648 + 0.143172i
\(298\) 11.2288 + 14.5300i 0.650469 + 0.841702i
\(299\) −30.0788 + 20.0980i −1.73950 + 1.16230i
\(300\) 1.41445 + 1.59067i 0.0816630 + 0.0918375i
\(301\) 3.77701 + 18.9883i 0.217703 + 1.09447i
\(302\) −6.67808 13.4253i −0.384281 0.772538i
\(303\) −1.32692 + 1.32692i −0.0762295 + 0.0762295i
\(304\) −0.334604 0.655626i −0.0191908 0.0376027i
\(305\) −4.06680 4.06680i −0.232864 0.232864i
\(306\) −2.82984 + 8.43156i −0.161771 + 0.482000i
\(307\) 19.1912 3.81736i 1.09530 0.217868i 0.385804 0.922581i \(-0.373924\pi\)
0.709493 + 0.704712i \(0.248924\pi\)
\(308\) −9.82722 + 3.41142i −0.559958 + 0.194383i
\(309\) 0.219393 + 0.328344i 0.0124808 + 0.0186789i
\(310\) −12.7407 1.63282i −0.723626 0.0927377i
\(311\) 11.9287 + 28.7984i 0.676414 + 1.63301i 0.770497 + 0.637444i \(0.220008\pi\)
−0.0940829 + 0.995564i \(0.529992\pi\)
\(312\) 0.989226 5.25587i 0.0560039 0.297555i
\(313\) 3.76527 9.09016i 0.212825 0.513806i −0.781030 0.624494i \(-0.785305\pi\)
0.993855 + 0.110688i \(0.0353053\pi\)
\(314\) −9.54129 5.46502i −0.538446 0.308409i
\(315\) 7.10980 + 1.41423i 0.400592 + 0.0796827i
\(316\) 3.57045 + 2.70091i 0.200854 + 0.151938i
\(317\) −6.34804 4.24162i −0.356541 0.238233i 0.364380 0.931250i \(-0.381281\pi\)
−0.720921 + 0.693017i \(0.756281\pi\)
\(318\) 1.14075 0.0787078i 0.0639701 0.00441372i
\(319\) −0.209070 −0.0117057
\(320\) −11.3484 + 2.50169i −0.634394 + 0.139849i
\(321\) −1.48748 −0.0830228
\(322\) 17.3189 1.19494i 0.965143 0.0665915i
\(323\) 0.335931 + 0.224462i 0.0186917 + 0.0124894i
\(324\) 9.40865 12.4377i 0.522703 0.690984i
\(325\) −14.5528 2.89473i −0.807245 0.160571i
\(326\) 0.965512 + 0.553022i 0.0534747 + 0.0306290i
\(327\) −0.500319 + 1.20788i −0.0276677 + 0.0667957i
\(328\) 12.0636 + 17.6575i 0.666100 + 0.974972i
\(329\) 7.39492 + 17.8529i 0.407695 + 0.984263i
\(330\) 2.24027 + 0.287107i 0.123323 + 0.0158047i
\(331\) −3.00110 4.49147i −0.164956 0.246873i 0.739778 0.672851i \(-0.234930\pi\)
−0.904734 + 0.425977i \(0.859930\pi\)
\(332\) 3.77698 + 10.8803i 0.207289 + 0.597133i
\(333\) 23.5142 4.67726i 1.28857 0.256312i
\(334\) −8.56459 + 25.5183i −0.468634 + 1.39630i
\(335\) 16.2886 + 16.2886i 0.889943 + 0.889943i
\(336\) −1.66551 + 1.95268i −0.0908613 + 0.106527i
\(337\) 9.39328 9.39328i 0.511684 0.511684i −0.403358 0.915042i \(-0.632157\pi\)
0.915042 + 0.403358i \(0.132157\pi\)
\(338\) 8.41570 + 16.9185i 0.457754 + 0.920244i
\(339\) 0.520424 + 2.61635i 0.0282655 + 0.142100i
\(340\) 4.76659 4.23852i 0.258505 0.229866i
\(341\) 15.5209 10.3707i 0.840505 0.561607i
\(342\) −0.455818 0.589825i −0.0246478 0.0318941i
\(343\) −17.6488 + 7.31037i −0.952946 + 0.394723i
\(344\) −22.4527 21.9943i −1.21057 1.18586i
\(345\) −3.48231 1.44242i −0.187481 0.0776572i
\(346\) −1.99839 + 0.542838i −0.107434 + 0.0291831i
\(347\) 2.30495 11.5878i 0.123736 0.622064i −0.868293 0.496052i \(-0.834782\pi\)
0.992029 0.126011i \(-0.0402176\pi\)
\(348\) −0.0444926 + 0.0260973i −0.00238506 + 0.00139896i
\(349\) 14.7665 22.0997i 0.790435 1.18297i −0.189152 0.981948i \(-0.560574\pi\)
0.979587 0.201021i \(-0.0644261\pi\)
\(350\) 5.36956 + 4.67642i 0.287015 + 0.249965i
\(351\) 11.0887i 0.591871i
\(352\) 10.0489 13.5728i 0.535610 0.723433i
\(353\) 10.7979i 0.574714i −0.957824 0.287357i \(-0.907223\pi\)
0.957824 0.287357i \(-0.0927766\pi\)
\(354\) 2.90155 3.33162i 0.154216 0.177073i
\(355\) 2.38817 3.57415i 0.126751 0.189696i
\(356\) −30.4464 7.93415i −1.61366 0.420509i
\(357\) 0.274826 1.38164i 0.0145453 0.0731242i
\(358\) 3.55895 + 13.1019i 0.188097 + 0.692456i
\(359\) −13.1862 5.46192i −0.695943 0.288269i 0.00653056 0.999979i \(-0.497921\pi\)
−0.702474 + 0.711710i \(0.747921\pi\)
\(360\) −10.8257 + 4.61551i −0.570564 + 0.243259i
\(361\) 17.5224 7.25803i 0.922233 0.382001i
\(362\) −2.49753 + 1.93010i −0.131267 + 0.101444i
\(363\) 0.639191 0.427094i 0.0335488 0.0224166i
\(364\) 1.04733 17.8598i 0.0548951 0.936106i
\(365\) −2.77567 13.9542i −0.145285 0.730397i
\(366\) 1.84629 0.918394i 0.0965072 0.0480052i
\(367\) −17.9142 + 17.9142i −0.935116 + 0.935116i −0.998020 0.0629039i \(-0.979964\pi\)
0.0629039 + 0.998020i \(0.479964\pi\)
\(368\) −22.1212 + 17.4626i −1.15315 + 0.910302i
\(369\) 15.3136 + 15.3136i 0.797196 + 0.797196i
\(370\) −16.3009 5.47098i −0.847442 0.284423i
\(371\) 3.75157 0.746234i 0.194772 0.0387425i
\(372\) 2.00850 4.14442i 0.104136 0.214878i
\(373\) 16.1231 + 24.1299i 0.834820 + 1.24940i 0.966130 + 0.258056i \(0.0830818\pi\)
−0.131310 + 0.991341i \(0.541918\pi\)
\(374\) −1.17832 + 9.19434i −0.0609294 + 0.475428i
\(375\) −1.61523 3.89952i −0.0834102 0.201370i
\(376\) −26.2626 17.1591i −1.35439 0.884911i
\(377\) 0.137599 0.332194i 0.00708672 0.0171088i
\(378\) −2.64479 + 4.61749i −0.136033 + 0.237498i
\(379\) −5.13105 1.02063i −0.263564 0.0524262i 0.0615391 0.998105i \(-0.480399\pi\)
−0.325103 + 0.945678i \(0.605399\pi\)
\(380\) 0.0734234 + 0.529547i 0.00376654 + 0.0271652i
\(381\) −0.901502 0.602365i −0.0461854 0.0308601i
\(382\) −1.29024 18.7001i −0.0660144 0.956779i
\(383\) 8.64365 0.441670 0.220835 0.975311i \(-0.429122\pi\)
0.220835 + 0.975311i \(0.429122\pi\)
\(384\) 0.444299 4.14282i 0.0226730 0.211412i
\(385\) 7.55537 0.385057
\(386\) −0.909988 13.1889i −0.0463172 0.671297i
\(387\) −26.4656 17.6838i −1.34532 0.898916i
\(388\) 1.44368 + 10.4122i 0.0732916 + 0.528597i
\(389\) −3.11633 0.619876i −0.158004 0.0314290i 0.115454 0.993313i \(-0.463168\pi\)
−0.273458 + 0.961884i \(0.588168\pi\)
\(390\) −1.93062 + 3.37063i −0.0977606 + 0.170679i
\(391\) 5.91985 14.2918i 0.299380 0.722767i
\(392\) 6.13350 9.38757i 0.309788 0.474144i
\(393\) −1.08776 2.62609i −0.0548704 0.132469i
\(394\) −2.93348 + 22.8897i −0.147786 + 1.15317i
\(395\) −1.80650 2.70362i −0.0908950 0.136034i
\(396\) 7.45864 15.3905i 0.374811 0.773400i
\(397\) −19.5057 + 3.87993i −0.978963 + 0.194728i −0.658539 0.752546i \(-0.728825\pi\)
−0.320424 + 0.947274i \(0.603825\pi\)
\(398\) 9.03137 + 3.03115i 0.452702 + 0.151938i
\(399\) 0.0834885 + 0.0834885i 0.00417965 + 0.00417965i
\(400\) −11.4805 1.35112i −0.574025 0.0675562i
\(401\) 12.9963 12.9963i 0.649006 0.649006i −0.303747 0.952753i \(-0.598238\pi\)
0.952753 + 0.303747i \(0.0982376\pi\)
\(402\) −7.39489 + 3.67841i −0.368824 + 0.183463i
\(403\) 6.26311 + 31.4868i 0.311988 + 1.56847i
\(404\) 0.596594 10.1735i 0.0296816 0.506150i
\(405\) −9.41811 + 6.29298i −0.467989 + 0.312701i
\(406\) −0.136530 + 0.105511i −0.00677589 + 0.00523642i
\(407\) 23.0857 9.56241i 1.14432 0.473991i
\(408\) 0.896928 + 2.10375i 0.0444045 + 0.104151i
\(409\) −10.3447 4.28490i −0.511510 0.211874i 0.111973 0.993711i \(-0.464283\pi\)
−0.623483 + 0.781837i \(0.714283\pi\)
\(410\) −4.07152 14.9888i −0.201078 0.740246i
\(411\) −0.317344 + 1.59539i −0.0156534 + 0.0786950i
\(412\) −2.07526 0.540800i −0.102241 0.0266433i
\(413\) 8.21072 12.2882i 0.404023 0.604663i
\(414\) −18.7447 + 21.5231i −0.921253 + 1.05780i
\(415\) 8.36499i 0.410621i
\(416\) 14.9523 + 24.8997i 0.733095 + 1.22081i
\(417\) 2.88212i 0.141138i
\(418\) −0.585880 0.510250i −0.0286563 0.0249572i
\(419\) −16.9150 + 25.3152i −0.826354 + 1.23673i 0.142672 + 0.989770i \(0.454430\pi\)
−0.969027 + 0.246957i \(0.920570\pi\)
\(420\) 1.60787 0.943102i 0.0784560 0.0460187i
\(421\) 4.45310 22.3872i 0.217031 1.09109i −0.706544 0.707669i \(-0.749747\pi\)
0.923575 0.383418i \(-0.125253\pi\)
\(422\) 29.0144 7.88137i 1.41240 0.383659i
\(423\) −29.3516 12.1579i −1.42713 0.591135i
\(424\) −4.34548 + 4.43604i −0.211035 + 0.215433i
\(425\) 5.86199 2.42811i 0.284348 0.117781i
\(426\) 0.942438 + 1.21951i 0.0456613 + 0.0590853i
\(427\) 5.73551 3.83235i 0.277561 0.185460i
\(428\) 6.03663 5.36785i 0.291792 0.259465i
\(429\) −1.10128 5.53649i −0.0531701 0.267304i
\(430\) 10.1669 + 20.4390i 0.490292 + 0.985658i
\(431\) 9.97751 9.97751i 0.480600 0.480600i −0.424723 0.905323i \(-0.639629\pi\)
0.905323 + 0.424723i \(0.139629\pi\)
\(432\) −0.683479 8.61176i −0.0328839 0.414334i
\(433\) 9.49988 + 9.49988i 0.456535 + 0.456535i 0.897516 0.440981i \(-0.145369\pi\)
−0.440981 + 0.897516i \(0.645369\pi\)
\(434\) 4.90192 14.6054i 0.235300 0.701079i
\(435\) 0.0367440 0.00730885i 0.00176174 0.000350432i
\(436\) −2.32841 6.70743i −0.111511 0.321228i
\(437\) 0.720328 + 1.07805i 0.0344580 + 0.0515700i
\(438\) 5.05982 + 0.648451i 0.241767 + 0.0309842i
\(439\) −3.51252 8.47998i −0.167643 0.404727i 0.817623 0.575754i \(-0.195291\pi\)
−0.985266 + 0.171027i \(0.945291\pi\)
\(440\) −10.1278 + 6.91930i −0.482824 + 0.329865i
\(441\) 4.34582 10.4917i 0.206944 0.499606i
\(442\) −13.8335 7.92347i −0.657990 0.376881i
\(443\) 4.35418 + 0.866101i 0.206874 + 0.0411497i 0.297439 0.954741i \(-0.403867\pi\)
−0.0905656 + 0.995890i \(0.528867\pi\)
\(444\) 3.71927 4.91667i 0.176509 0.233335i
\(445\) 19.0006 + 12.6958i 0.900715 + 0.601839i
\(446\) −25.5998 + 1.76630i −1.21218 + 0.0836365i
\(447\) 4.78198 0.226180
\(448\) −0.287447 13.9349i −0.0135806 0.658362i
\(449\) 12.3670 0.583636 0.291818 0.956474i \(-0.405740\pi\)
0.291818 + 0.956474i \(0.405740\pi\)
\(450\) −11.6789 + 0.805802i −0.550548 + 0.0379859i
\(451\) 18.7677 + 12.5402i 0.883738 + 0.590495i
\(452\) −11.5536 8.73988i −0.543437 0.411089i
\(453\) −3.82970 0.761775i −0.179935 0.0357913i
\(454\) 29.8833 + 17.1164i 1.40249 + 0.803314i
\(455\) −4.97254 + 12.0048i −0.233116 + 0.562793i
\(456\) −0.188374 0.0354546i −0.00882143 0.00166031i
\(457\) 5.19687 + 12.5463i 0.243099 + 0.586893i 0.997588 0.0694200i \(-0.0221149\pi\)
−0.754488 + 0.656314i \(0.772115\pi\)
\(458\) 23.3321 + 2.99017i 1.09024 + 0.139722i
\(459\) 2.63437 + 3.94261i 0.122962 + 0.184025i
\(460\) 19.3375 6.71282i 0.901616 0.312987i
\(461\) −31.3777 + 6.24141i −1.46140 + 0.290691i −0.860836 0.508882i \(-0.830059\pi\)
−0.600568 + 0.799573i \(0.705059\pi\)
\(462\) −0.861932 + 2.56814i −0.0401007 + 0.119481i
\(463\) 20.2752 + 20.2752i 0.942266 + 0.942266i 0.998422 0.0561556i \(-0.0178843\pi\)
−0.0561556 + 0.998422i \(0.517884\pi\)
\(464\) 0.0863874 0.266471i 0.00401043 0.0123706i
\(465\) −2.36525 + 2.36525i −0.109686 + 0.109686i
\(466\) −5.41353 10.8831i −0.250777 0.504149i
\(467\) 1.24791 + 6.27365i 0.0577463 + 0.290310i 0.998858 0.0477869i \(-0.0152168\pi\)
−0.941111 + 0.338097i \(0.890217\pi\)
\(468\) 19.5451 + 21.9803i 0.903475 + 1.01604i
\(469\) −22.9723 + 15.3496i −1.06076 + 0.708777i
\(470\) 13.9327 + 18.0288i 0.642669 + 0.831608i
\(471\) −2.64541 + 1.09576i −0.121894 + 0.0504901i
\(472\) 0.247420 + 23.9915i 0.0113884 + 1.10430i
\(473\) −30.6495 12.6954i −1.40926 0.583737i
\(474\) 1.12508 0.305612i 0.0516764 0.0140372i
\(475\) −0.103749 + 0.521583i −0.00476035 + 0.0239319i
\(476\) 3.87060 + 6.59888i 0.177409 + 0.302459i
\(477\) −3.49383 + 5.22888i −0.159971 + 0.239414i
\(478\) −16.5286 14.3950i −0.755999 0.658410i
\(479\) 38.2671i 1.74847i −0.485503 0.874235i \(-0.661364\pi\)
0.485503 0.874235i \(-0.338636\pi\)
\(480\) −1.29161 + 2.73671i −0.0589536 + 0.124913i
\(481\) 42.9745i 1.95947i
\(482\) 27.4718 31.5436i 1.25131 1.43677i
\(483\) 2.51159 3.75886i 0.114281 0.171034i
\(484\) −1.05278 + 4.03992i −0.0478536 + 0.183633i
\(485\) 1.48946 7.48803i 0.0676330 0.340014i
\(486\) −3.46654 12.7617i −0.157245 0.578881i
\(487\) −0.702848 0.291129i −0.0318491 0.0131923i 0.366702 0.930338i \(-0.380487\pi\)
−0.398551 + 0.917146i \(0.630487\pi\)
\(488\) −4.17861 + 10.3898i −0.189157 + 0.470325i
\(489\) 0.267696 0.110884i 0.0121057 0.00501433i
\(490\) −6.44440 + 4.98025i −0.291128 + 0.224985i
\(491\) −16.0938 + 10.7535i −0.726303 + 0.485300i −0.862931 0.505322i \(-0.831374\pi\)
0.136628 + 0.990622i \(0.456374\pi\)
\(492\) 5.55933 + 0.326010i 0.250634 + 0.0146977i
\(493\) 0.0299963 + 0.150802i 0.00135097 + 0.00679177i
\(494\) 1.19634 0.595089i 0.0538257 0.0267743i
\(495\) −8.78343 + 8.78343i −0.394786 + 0.394786i
\(496\) 6.80486 + 24.0674i 0.305547 + 1.08066i
\(497\) 3.64560 + 3.64560i 0.163528 + 0.163528i
\(498\) 2.84334 + 0.954295i 0.127413 + 0.0427630i
\(499\) −27.5562 + 5.48127i −1.23359 + 0.245376i −0.768477 0.639878i \(-0.778985\pi\)
−0.465109 + 0.885253i \(0.653985\pi\)
\(500\) 20.6273 + 9.99654i 0.922480 + 0.447059i
\(501\) 3.89429 + 5.82822i 0.173984 + 0.260386i
\(502\) −1.02105 + 7.96715i −0.0455715 + 0.355591i
\(503\) 0.279297 + 0.674282i 0.0124532 + 0.0300647i 0.929984 0.367600i \(-0.119821\pi\)
−0.917531 + 0.397665i \(0.869821\pi\)
\(504\) −2.89631 13.8146i −0.129012 0.615353i
\(505\) −2.83252 + 6.83831i −0.126046 + 0.304301i
\(506\) −14.7850 + 25.8128i −0.657272 + 1.14752i
\(507\) 4.82617 + 0.959986i 0.214338 + 0.0426345i
\(508\) 5.83232 0.808670i 0.258767 0.0358789i
\(509\) −14.6162 9.76623i −0.647851 0.432880i 0.187750 0.982217i \(-0.439881\pi\)
−0.835601 + 0.549336i \(0.814881\pi\)
\(510\) −0.114334 1.65709i −0.00506278 0.0733774i
\(511\) 17.0643 0.754882
\(512\) 13.1471 + 18.4162i 0.581024 + 0.813887i
\(513\) −0.397427 −0.0175468
\(514\) −1.78268 25.8373i −0.0786307 1.13963i
\(515\) 1.29510 + 0.865359i 0.0570690 + 0.0381323i
\(516\) −8.10728 + 1.12410i −0.356903 + 0.0494857i
\(517\) −32.4761 6.45989i −1.42830 0.284106i
\(518\) 10.2499 17.8952i 0.450356 0.786269i
\(519\) −0.206366 + 0.498212i −0.00905848 + 0.0218691i
\(520\) −4.32855 20.6461i −0.189820 0.905389i
\(521\) 0.465084 + 1.12281i 0.0203757 + 0.0491913i 0.933740 0.357952i \(-0.116525\pi\)
−0.913364 + 0.407143i \(0.866525\pi\)
\(522\) 0.0360612 0.281383i 0.00157836 0.0123158i
\(523\) −16.7116 25.0106i −0.730746 1.09364i −0.991736 0.128297i \(-0.959049\pi\)
0.260990 0.965341i \(-0.415951\pi\)
\(524\) 13.8912 + 6.73207i 0.606842 + 0.294092i
\(525\) 1.81862 0.361746i 0.0793710 0.0157879i
\(526\) −20.3662 6.83540i −0.888008 0.298038i
\(527\) −9.70724 9.70724i −0.422854 0.422854i
\(528\) −1.19653 4.23190i −0.0520725 0.184170i
\(529\) 18.8396 18.8396i 0.819111 0.819111i
\(530\) 4.03820 2.00871i 0.175408 0.0872526i
\(531\) 4.74025 + 23.8308i 0.205709 + 1.03417i
\(532\) −0.640106 0.0375371i −0.0277521 0.00162744i
\(533\) −32.2772 + 21.5669i −1.39808 + 0.934167i
\(534\) −6.48305 + 5.01012i −0.280549 + 0.216809i
\(535\) −5.42050 + 2.24524i −0.234349 + 0.0970704i
\(536\) 16.7364 41.6140i 0.722904 1.79745i
\(537\) 3.26638 + 1.35298i 0.140955 + 0.0583854i
\(538\) −5.20227 19.1516i −0.224286 0.825682i
\(539\) 2.30908 11.6086i 0.0994593 0.500016i
\(540\) −1.58223 + 6.07165i −0.0680885 + 0.261282i
\(541\) 12.6138 18.8780i 0.542312 0.811627i −0.454556 0.890718i \(-0.650202\pi\)
0.996867 + 0.0790916i \(0.0252019\pi\)
\(542\) 22.5217 25.8599i 0.967392 1.11078i
\(543\) 0.821964i 0.0352739i
\(544\) −11.2318 5.30091i −0.481559 0.227275i
\(545\) 5.15681i 0.220893i
\(546\) −3.51326 3.05974i −0.150354 0.130945i
\(547\) −17.7222 + 26.5232i −0.757748 + 1.13405i 0.229258 + 0.973366i \(0.426370\pi\)
−0.987006 + 0.160684i \(0.948630\pi\)
\(548\) −4.46942 7.61979i −0.190924 0.325501i
\(549\) −2.21251 + 11.1230i −0.0944276 + 0.474720i
\(550\) −11.7746 + 3.19841i −0.502070 + 0.136381i
\(551\) −0.0119061 0.00493165i −0.000507215 0.000210095i
\(552\) 0.0756838 + 7.33881i 0.00322132 + 0.312360i
\(553\) 3.60307 1.49244i 0.153218 0.0634651i
\(554\) −5.58830 7.23121i −0.237424 0.307224i
\(555\) −3.72301 + 2.48764i −0.158033 + 0.105594i
\(556\) −10.4007 11.6965i −0.441088 0.496043i
\(557\) −5.25641 26.4258i −0.222721 1.11970i −0.916662 0.399664i \(-0.869127\pi\)
0.693940 0.720032i \(-0.255873\pi\)
\(558\) 11.2806 + 22.6780i 0.477548 + 0.960037i
\(559\) 40.3437 40.3437i 1.70636 1.70636i
\(560\) −3.12186 + 9.62971i −0.131923 + 0.406930i
\(561\) 1.70688 + 1.70688i 0.0720644 + 0.0720644i
\(562\) −1.07443 + 3.20129i −0.0453223 + 0.135038i
\(563\) 37.9592 7.55055i 1.59979 0.318218i 0.687002 0.726655i \(-0.258926\pi\)
0.912786 + 0.408437i \(0.133926\pi\)
\(564\) −7.71764 + 2.67910i −0.324971 + 0.112810i
\(565\) 5.84567 + 8.74866i 0.245929 + 0.368059i
\(566\) 8.25589 + 1.05805i 0.347021 + 0.0444732i
\(567\) −5.19894 12.5514i −0.218335 0.527107i
\(568\) −8.22553 1.54816i −0.345136 0.0649592i
\(569\) −2.03813 + 4.92049i −0.0854431 + 0.206278i −0.960826 0.277152i \(-0.910609\pi\)
0.875383 + 0.483430i \(0.160609\pi\)
\(570\) 0.120806 + 0.0691947i 0.00506000 + 0.00289825i
\(571\) 14.3880 + 2.86195i 0.602118 + 0.119769i 0.486731 0.873552i \(-0.338189\pi\)
0.115387 + 0.993321i \(0.463189\pi\)
\(572\) 24.4488 + 18.4946i 1.02226 + 0.773298i
\(573\) −4.05864 2.71189i −0.169552 0.113291i
\(574\) 18.5846 1.28227i 0.775707 0.0535211i
\(575\) 20.3619 0.849149
\(576\) 16.5341 + 15.8657i 0.688919 + 0.661072i
\(577\) −10.2313 −0.425936 −0.212968 0.977059i \(-0.568313\pi\)
−0.212968 + 0.977059i \(0.568313\pi\)
\(578\) −17.1837 + 1.18562i −0.714748 + 0.0493151i
\(579\) −2.86250 1.91266i −0.118961 0.0794874i
\(580\) −0.122743 + 0.162260i −0.00509663 + 0.00673747i
\(581\) 9.84005 + 1.95731i 0.408234 + 0.0812028i
\(582\) 2.37533 + 1.36053i 0.0984606 + 0.0563959i
\(583\) −2.50827 + 6.05550i −0.103882 + 0.250793i
\(584\) −22.8743 + 15.6277i −0.946547 + 0.646680i
\(585\) −8.17527 19.7369i −0.338006 0.816018i
\(586\) −2.89417 0.370908i −0.119557 0.0153221i
\(587\) 15.0588 + 22.5371i 0.621543 + 0.930206i 0.999990 + 0.00458217i \(0.00145855\pi\)
−0.378446 + 0.925623i \(0.623541\pi\)
\(588\) −0.957642 2.75867i −0.0394925 0.113766i
\(589\) 1.12851 0.224474i 0.0464994 0.00924930i
\(590\) 5.54467 16.5204i 0.228270 0.680135i
\(591\) 4.24934 + 4.24934i 0.174795 + 0.174795i
\(592\) 2.64884 + 33.3751i 0.108867 + 1.37171i
\(593\) 9.24907 9.24907i 0.379814 0.379814i −0.491221 0.871035i \(-0.663449\pi\)
0.871035 + 0.491221i \(0.163449\pi\)
\(594\) −4.06099 8.16401i −0.166625 0.334973i
\(595\) −1.08400 5.44966i −0.0444399 0.223414i
\(596\) −19.4068 + 17.2567i −0.794932 + 0.706863i
\(597\) 2.06270 1.37826i 0.0844209 0.0564082i
\(598\) −31.2835 40.4806i −1.27928 1.65537i
\(599\) 5.52517 2.28860i 0.225752 0.0935097i −0.266940 0.963713i \(-0.586013\pi\)
0.492693 + 0.870203i \(0.336013\pi\)
\(600\) −2.10653 + 2.15043i −0.0859985 + 0.0877908i
\(601\) −16.7410 6.93436i −0.682880 0.282858i 0.0141501 0.999900i \(-0.495496\pi\)
−0.697030 + 0.717042i \(0.745496\pi\)
\(602\) −26.4221 + 7.17723i −1.07689 + 0.292522i
\(603\) 8.86169 44.5507i 0.360876 1.81425i
\(604\) 18.2911 10.7287i 0.744254 0.436545i
\(605\) 1.68460 2.52119i 0.0684888 0.102501i
\(606\) −2.00126 1.74293i −0.0812958 0.0708016i
\(607\) 7.72029i 0.313357i 0.987650 + 0.156679i \(0.0500787\pi\)
−0.987650 + 0.156679i \(0.949921\pi\)
\(608\) 0.892425 0.535900i 0.0361926 0.0217336i
\(609\) 0.0449336i 0.00182080i
\(610\) 5.34180 6.13356i 0.216283 0.248341i
\(611\) 31.6382 47.3499i 1.27994 1.91557i
\(612\) −12.1712 3.17175i −0.491992 0.128210i
\(613\) −5.99511 + 30.1394i −0.242140 + 1.21732i 0.648003 + 0.761638i \(0.275605\pi\)
−0.890143 + 0.455682i \(0.849395\pi\)
\(614\) 7.25391 + 26.7044i 0.292744 + 1.07770i
\(615\) −3.73681 1.54784i −0.150683 0.0624149i
\(616\) −5.76965 13.5327i −0.232466 0.545250i
\(617\) −17.6517 + 7.31159i −0.710632 + 0.294353i −0.708566 0.705644i \(-0.750658\pi\)
−0.00206586 + 0.999998i \(0.500658\pi\)
\(618\) −0.441891 + 0.341495i −0.0177755 + 0.0137369i
\(619\) −9.76932 + 6.52765i −0.392662 + 0.262368i −0.736191 0.676774i \(-0.763378\pi\)
0.343529 + 0.939142i \(0.388378\pi\)
\(620\) 1.06343 18.1343i 0.0427085 0.728293i
\(621\) 2.96866 + 14.9245i 0.119128 + 0.598899i
\(622\) −39.4693 + 19.6331i −1.58258 + 0.787214i
\(623\) −19.3805 + 19.3805i −0.776462 + 0.776462i
\(624\) 7.51159 + 0.884029i 0.300704 + 0.0353895i
\(625\) −1.55466 1.55466i −0.0621862 0.0621862i
\(626\) 13.1915 + 4.42739i 0.527237 + 0.176954i
\(627\) −0.198432 + 0.0394705i −0.00792460 + 0.00157630i
\(628\) 6.78159 13.9934i 0.270615 0.558398i
\(629\) −10.2095 15.2797i −0.407081 0.609240i
\(630\) −1.30318 + 10.1686i −0.0519198 + 0.405127i
\(631\) 4.61559 + 11.1430i 0.183744 + 0.443596i 0.988732 0.149694i \(-0.0478287\pi\)
−0.804989 + 0.593290i \(0.797829\pi\)
\(632\) −3.46304 + 5.30032i −0.137752 + 0.210836i
\(633\) 2.99620 7.23347i 0.119088 0.287504i
\(634\) 5.36639 9.36909i 0.213127 0.372094i
\(635\) −4.19439 0.834315i −0.166449 0.0331088i
\(636\) 0.222091 + 1.60178i 0.00880650 + 0.0635146i
\(637\) 16.9252 + 11.3091i 0.670601 + 0.448081i
\(638\) −0.0203518 0.294969i −0.000805737 0.0116779i
\(639\) −8.47633 −0.335318
\(640\) −4.63424 15.7674i −0.183184 0.623263i
\(641\) 6.70997 0.265028 0.132514 0.991181i \(-0.457695\pi\)
0.132514 + 0.991181i \(0.457695\pi\)
\(642\) −0.144797 2.09862i −0.00571470 0.0828259i
\(643\) 0.990370 + 0.661744i 0.0390564 + 0.0260966i 0.574945 0.818192i \(-0.305023\pi\)
−0.535889 + 0.844289i \(0.680023\pi\)
\(644\) 3.37179 + 24.3182i 0.132867 + 0.958270i
\(645\) 5.83045 + 1.15975i 0.229574 + 0.0456651i
\(646\) −0.283983 + 0.495801i −0.0111732 + 0.0195070i
\(647\) −3.48816 + 8.42116i −0.137134 + 0.331070i −0.977496 0.210956i \(-0.932342\pi\)
0.840362 + 0.542026i \(0.182342\pi\)
\(648\) 18.4637 + 12.0635i 0.725324 + 0.473901i
\(649\) 9.69120 + 23.3966i 0.380413 + 0.918398i
\(650\) 2.66743 20.8138i 0.104625 0.816383i
\(651\) −2.22889 3.33577i −0.0873570 0.130739i
\(652\) −0.686249 + 1.41603i −0.0268756 + 0.0554562i
\(653\) 32.8825 6.54074i 1.28679 0.255959i 0.496150 0.868237i \(-0.334747\pi\)
0.790643 + 0.612278i \(0.209747\pi\)
\(654\) −1.75285 0.588299i −0.0685417 0.0230043i
\(655\) −7.92782 7.92782i −0.309765 0.309765i
\(656\) −23.7379 + 18.7389i −0.926810 + 0.731631i
\(657\) −19.8380 + 19.8380i −0.773954 + 0.773954i
\(658\) −24.4681 + 12.1711i −0.953865 + 0.474478i
\(659\) 5.99601 + 30.1440i 0.233571 + 1.17424i 0.902424 + 0.430848i \(0.141786\pi\)
−0.668853 + 0.743395i \(0.733214\pi\)
\(660\) −0.186989 + 3.18866i −0.00727855 + 0.124118i
\(661\) 37.6753 25.1739i 1.46540 0.979149i 0.470069 0.882629i \(-0.344229\pi\)
0.995331 0.0965199i \(-0.0307712\pi\)
\(662\) 6.04469 4.67135i 0.234934 0.181557i
\(663\) −3.83545 + 1.58869i −0.148956 + 0.0616997i
\(664\) −14.9829 + 6.38792i −0.581449 + 0.247899i
\(665\) 0.430260 + 0.178220i 0.0166848 + 0.00691106i
\(666\) 8.88792 + 32.7199i 0.344400 + 1.26787i
\(667\) −0.0962624 + 0.483944i −0.00372729 + 0.0187384i
\(668\) −36.8365 9.59937i −1.42525 0.371411i
\(669\) −3.71249 + 5.55614i −0.143533 + 0.214813i
\(670\) −21.3954 + 24.5666i −0.826575 + 0.949089i
\(671\) 11.8201i 0.456310i
\(672\) −2.91708 2.15973i −0.112529 0.0833132i
\(673\) 32.2882i 1.24462i 0.782771 + 0.622310i \(0.213806\pi\)
−0.782771 + 0.622310i \(0.786194\pi\)
\(674\) 14.1670 + 12.3382i 0.545692 + 0.475250i
\(675\) −3.46755 + 5.18955i −0.133466 + 0.199746i
\(676\) −23.0504 + 13.5203i −0.886553 + 0.520011i
\(677\) 1.07518 5.40530i 0.0413225 0.207742i −0.954608 0.297864i \(-0.903726\pi\)
0.995931 + 0.0901220i \(0.0287257\pi\)
\(678\) −3.64064 + 0.988931i −0.139818 + 0.0379797i
\(679\) 8.45994 + 3.50422i 0.324663 + 0.134480i
\(680\) 6.44395 + 6.31240i 0.247114 + 0.242069i
\(681\) 8.28540 3.43193i 0.317497 0.131512i
\(682\) 16.1425 + 20.8883i 0.618130 + 0.799854i
\(683\) 16.8416 11.2532i 0.644427 0.430592i −0.189945 0.981795i \(-0.560831\pi\)
0.834371 + 0.551203i \(0.185831\pi\)
\(684\) 0.787789 0.700512i 0.0301219 0.0267847i
\(685\) 1.25171 + 6.29277i 0.0478254 + 0.240435i
\(686\) −12.0319 24.1884i −0.459381 0.923516i
\(687\) 4.33147 4.33147i 0.165256 0.165256i
\(688\) 28.8453 33.8187i 1.09972 1.28932i
\(689\) −7.97082 7.97082i −0.303664 0.303664i
\(690\) 1.69607 5.05346i 0.0645682 0.192382i
\(691\) −17.9592 + 3.57231i −0.683201 + 0.135897i −0.524476 0.851425i \(-0.675739\pi\)
−0.158726 + 0.987323i \(0.550739\pi\)
\(692\) −0.960400 2.76661i −0.0365089 0.105171i
\(693\) −8.27706 12.3875i −0.314419 0.470562i
\(694\) 16.5731 + 2.12396i 0.629106 + 0.0806243i
\(695\) 4.35036 + 10.5027i 0.165019 + 0.398390i
\(696\) −0.0411507 0.0602324i −0.00155981 0.00228310i
\(697\) 6.35251 15.3363i 0.240618 0.580904i
\(698\) 32.6170 + 18.6822i 1.23457 + 0.707133i
\(699\) −3.10451 0.617526i −0.117423 0.0233570i
\(700\) −6.07508 + 8.03092i −0.229616 + 0.303540i
\(701\) 11.9298 + 7.97124i 0.450583 + 0.301070i 0.760079 0.649831i \(-0.225160\pi\)
−0.309496 + 0.950901i \(0.600160\pi\)
\(702\) 15.6446 1.07942i 0.590467 0.0407402i
\(703\) 1.54024 0.0580911
\(704\) 20.1275 + 12.8564i 0.758585 + 0.484544i
\(705\) 5.93348 0.223468
\(706\) 15.2343 1.05111i 0.573351 0.0395592i
\(707\) −7.38139 4.93208i −0.277606 0.185490i
\(708\) 4.98289 + 3.76937i 0.187269 + 0.141661i
\(709\) 8.17031 + 1.62518i 0.306843 + 0.0610348i 0.346110 0.938194i \(-0.387502\pi\)
−0.0392674 + 0.999229i \(0.512502\pi\)
\(710\) 5.27510 + 3.02145i 0.197971 + 0.113393i
\(711\) −2.45370 + 5.92375i −0.0920208 + 0.222158i
\(712\) 8.23018 43.7279i 0.308439 1.63877i
\(713\) −16.8593 40.7019i −0.631385 1.52430i
\(714\) 1.97605 + 0.253245i 0.0739520 + 0.00947746i
\(715\) −12.3701 18.5132i −0.462616 0.692354i
\(716\) −18.1385 + 6.29658i −0.677866 + 0.235314i
\(717\) −5.59807 + 1.11353i −0.209064 + 0.0415854i
\(718\) 6.42240 19.1356i 0.239682 0.714135i
\(719\) 14.9481 + 14.9481i 0.557471 + 0.557471i 0.928587 0.371116i \(-0.121025\pi\)
−0.371116 + 0.928587i \(0.621025\pi\)
\(720\) −7.56565 14.8242i −0.281955 0.552467i
\(721\) −1.32099 + 1.32099i −0.0491963 + 0.0491963i
\(722\) 11.9458 + 24.0152i 0.444575 + 0.893751i
\(723\) −2.12509 10.6835i −0.0790328 0.397325i
\(724\) −2.96622 3.33578i −0.110239 0.123973i
\(725\) −0.168277 + 0.112439i −0.00624966 + 0.00417589i
\(726\) 0.664791 + 0.860233i 0.0246727 + 0.0319263i
\(727\) −12.1904 + 5.04943i −0.452117 + 0.187273i −0.597110 0.802160i \(-0.703684\pi\)
0.144992 + 0.989433i \(0.453684\pi\)
\(728\) 25.2996 0.260910i 0.937664 0.00966996i
\(729\) 18.4310 + 7.63436i 0.682629 + 0.282754i
\(730\) 19.4172 5.27444i 0.718664 0.195216i
\(731\) −4.75974 + 23.9288i −0.176045 + 0.885040i
\(732\) 1.47545 + 2.51546i 0.0545342 + 0.0929740i
\(733\) 8.53401 12.7721i 0.315211 0.471746i −0.639706 0.768620i \(-0.720944\pi\)
0.954917 + 0.296873i \(0.0959439\pi\)
\(734\) −27.0183 23.5306i −0.997264 0.868531i
\(735\) 2.12092i 0.0782313i
\(736\) −26.7907 29.5100i −0.987518 1.08775i
\(737\) 47.3427i 1.74389i
\(738\) −20.1147 + 23.0961i −0.740432 + 0.850179i
\(739\) 8.82990 13.2149i 0.324813 0.486117i −0.632744 0.774361i \(-0.718071\pi\)
0.957557 + 0.288244i \(0.0930714\pi\)
\(740\) 6.13199 23.5308i 0.225416 0.865010i
\(741\) 0.0678823 0.341267i 0.00249372 0.0125368i
\(742\) 1.41802 + 5.22030i 0.0520573 + 0.191643i
\(743\) −19.6016 8.11923i −0.719112 0.297866i −0.00704260 0.999975i \(-0.502242\pi\)
−0.712069 + 0.702109i \(0.752242\pi\)
\(744\) 6.04271 + 2.43027i 0.221537 + 0.0890982i
\(745\) 17.4260 7.21808i 0.638439 0.264450i
\(746\) −32.4744 + 25.0963i −1.18897 + 0.918840i
\(747\) −13.7149 + 9.16402i −0.501803 + 0.335294i
\(748\) −13.0866 0.767425i −0.478494 0.0280599i
\(749\) −1.37283 6.90170i −0.0501622 0.252183i
\(750\) 5.34443 2.65846i 0.195151 0.0970733i
\(751\) −35.0649 + 35.0649i −1.27954 + 1.27954i −0.338608 + 0.940928i \(0.609956\pi\)
−0.940928 + 0.338608i \(0.890044\pi\)
\(752\) 21.6525 38.7232i 0.789585 1.41209i
\(753\) 1.47906 + 1.47906i 0.0538998 + 0.0538998i
\(754\) 0.482073 + 0.161796i 0.0175561 + 0.00589226i
\(755\) −15.1056 + 3.00470i −0.549750 + 0.109352i
\(756\) −6.77208 3.28193i −0.246298 0.119363i
\(757\) 4.47197 + 6.69277i 0.162536 + 0.243253i 0.903794 0.427968i \(-0.140770\pi\)
−0.741258 + 0.671221i \(0.765770\pi\)
\(758\) 0.940485 7.33854i 0.0341600 0.266548i
\(759\) 2.96446 + 7.15683i 0.107603 + 0.259776i
\(760\) −0.739969 + 0.155138i −0.0268415 + 0.00562746i
\(761\) −14.8692 + 35.8975i −0.539009 + 1.30128i 0.386406 + 0.922329i \(0.373716\pi\)
−0.925415 + 0.378955i \(0.876284\pi\)
\(762\) 0.762096 1.33053i 0.0276078 0.0482000i
\(763\) −6.06615 1.20663i −0.219609 0.0436830i
\(764\) 26.2576 3.64070i 0.949966 0.131716i
\(765\) 7.59566 + 5.07526i 0.274622 + 0.183496i
\(766\) 0.841411 + 12.1950i 0.0304014 + 0.440623i
\(767\) −43.5533 −1.57262
\(768\) 5.88818 + 0.223564i 0.212471 + 0.00806716i
\(769\) −8.75459 −0.315699 −0.157849 0.987463i \(-0.550456\pi\)
−0.157849 + 0.987463i \(0.550456\pi\)
\(770\) 0.735473 + 10.6596i 0.0265046 + 0.384144i
\(771\) −5.60768 3.74693i −0.201956 0.134942i
\(772\) 18.5191 2.56773i 0.666517 0.0924146i