Properties

Label 322.2.k.a.293.2
Level $322$
Weight $2$
Character 322.293
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 293.2
Character \(\chi\) \(=\) 322.293
Dual form 322.2.k.a.111.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.730873 + 2.48912i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-1.52995 + 0.983241i) q^{5} +(1.96057 + 1.69884i) q^{6} +(-2.20702 - 1.45913i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.13780 - 2.01654i) q^{9} +O(q^{10})\) \(q+(0.415415 - 0.909632i) q^{2} +(-0.730873 + 2.48912i) q^{3} +(-0.654861 - 0.755750i) q^{4} +(-1.52995 + 0.983241i) q^{5} +(1.96057 + 1.69884i) q^{6} +(-2.20702 - 1.45913i) q^{7} +(-0.959493 + 0.281733i) q^{8} +(-3.13780 - 2.01654i) q^{9} +(0.258822 + 1.80015i) q^{10} +(-0.133389 + 0.0609167i) q^{11} +(2.35977 - 1.07767i) q^{12} +(-2.27281 + 0.326780i) q^{13} +(-2.24410 + 1.40143i) q^{14} +(-1.32921 - 4.52687i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-2.03570 + 2.34933i) q^{17} +(-3.13780 + 2.01654i) q^{18} +(-3.74575 - 4.32283i) q^{19} +(1.74499 + 0.512375i) q^{20} +(5.24501 - 4.42710i) q^{21} +0.146641i q^{22} +(-3.54475 + 3.23029i) q^{23} -2.59421i q^{24} +(-0.703081 + 1.53953i) q^{25} +(-0.646909 + 2.20317i) q^{26} +(1.43104 - 1.24001i) q^{27} +(0.342551 + 2.62348i) q^{28} +(4.85965 - 5.60833i) q^{29} +(-4.66996 - 0.671438i) q^{30} +(0.987591 + 3.36343i) q^{31} +(0.841254 + 0.540641i) q^{32} +(-0.0541388 - 0.376544i) q^{33} +(1.29136 + 2.82768i) q^{34} +(4.81132 + 0.0623726i) q^{35} +(0.530822 + 3.69195i) q^{36} +(-1.53951 + 2.39552i) q^{37} +(-5.48822 + 1.61149i) q^{38} +(0.847736 - 5.89613i) q^{39} +(1.19097 - 1.37445i) q^{40} +(4.56813 + 7.10816i) q^{41} +(-1.84818 - 6.61012i) q^{42} +(-1.10149 + 3.75133i) q^{43} +(0.133389 + 0.0609167i) q^{44} +6.78344 q^{45} +(1.46583 + 4.56633i) q^{46} -3.45148i q^{47} +(-2.35977 - 1.07767i) q^{48} +(2.74186 + 6.44067i) q^{49} +(1.10834 + 1.27909i) q^{50} +(-4.35992 - 6.78417i) q^{51} +(1.73534 + 1.50368i) q^{52} +(11.7791 + 1.69357i) q^{53} +(-0.533473 - 1.81684i) q^{54} +(0.144183 - 0.224353i) q^{55} +(2.52870 + 0.778238i) q^{56} +(13.4977 - 6.16420i) q^{57} +(-3.08275 - 6.75028i) q^{58} +(-2.65098 + 0.381153i) q^{59} +(-2.55073 + 3.96902i) q^{60} +(3.68508 - 1.08204i) q^{61} +(3.46974 + 0.498873i) q^{62} +(3.98278 + 9.02902i) q^{63} +(0.841254 - 0.540641i) q^{64} +(3.15599 - 2.73468i) q^{65} +(-0.365006 - 0.107176i) q^{66} +(-1.68393 - 0.769024i) q^{67} +3.10860 q^{68} +(-5.44982 - 11.1842i) q^{69} +(2.05543 - 4.35062i) q^{70} +(-4.71153 + 10.3168i) q^{71} +(3.57882 + 1.05084i) q^{72} +(-2.35242 + 2.03838i) q^{73} +(1.53951 + 2.39552i) q^{74} +(-3.31823 - 2.87526i) q^{75} +(-0.814029 + 5.66170i) q^{76} +(0.383277 + 0.0601879i) q^{77} +(-5.01115 - 3.22047i) q^{78} +(-8.52895 + 1.22628i) q^{79} +(-0.755498 - 1.65431i) q^{80} +(-2.60776 - 5.71021i) q^{81} +(8.36348 - 1.20249i) q^{82} +(-13.4360 - 8.63477i) q^{83} +(-6.78053 - 1.06478i) q^{84} +(0.804575 - 5.59594i) q^{85} +(2.95475 + 2.56031i) q^{86} +(10.4081 + 16.1952i) q^{87} +(0.110824 - 0.0960291i) q^{88} +(-1.61135 - 0.473136i) q^{89} +(2.81794 - 6.17043i) q^{90} +(5.49295 + 2.59512i) q^{91} +(4.76260 + 0.563555i) q^{92} -9.09379 q^{93} +(-3.13958 - 1.43380i) q^{94} +(9.98120 + 2.93075i) q^{95} +(-1.96057 + 1.69884i) q^{96} +(-10.3940 + 6.67984i) q^{97} +(6.99765 + 0.181462i) q^{98} +(0.541389 + 0.0778400i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + O(q^{10}) \) \( 80 q - 8 q^{2} - 8 q^{4} - 11 q^{7} - 8 q^{8} - 6 q^{9} + 11 q^{14} - 8 q^{16} - 6 q^{18} - 33 q^{21} + 18 q^{23} - 58 q^{25} - 11 q^{28} + 16 q^{29} + 22 q^{30} - 8 q^{32} + 47 q^{35} + 16 q^{36} - 22 q^{37} - 30 q^{39} - 22 q^{42} + 44 q^{43} - 4 q^{46} + 17 q^{49} + 8 q^{50} - 88 q^{51} + 44 q^{53} + 11 q^{56} - 22 q^{57} - 28 q^{58} + 121 q^{63} - 8 q^{64} - 154 q^{65} + 58 q^{70} + 42 q^{71} - 28 q^{72} + 22 q^{74} + 38 q^{77} + 58 q^{78} - 88 q^{79} - 26 q^{81} - 11 q^{84} + 26 q^{85} - 132 q^{86} + 22 q^{88} - 4 q^{92} + 152 q^{93} - 68 q^{95} - 27 q^{98} - 44 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 0.909632i 0.293743 0.643207i
\(3\) −0.730873 + 2.48912i −0.421970 + 1.43710i 0.424873 + 0.905253i \(0.360319\pi\)
−0.846843 + 0.531843i \(0.821500\pi\)
\(4\) −0.654861 0.755750i −0.327430 0.377875i
\(5\) −1.52995 + 0.983241i −0.684216 + 0.439719i −0.836025 0.548691i \(-0.815126\pi\)
0.151809 + 0.988410i \(0.451490\pi\)
\(6\) 1.96057 + 1.69884i 0.800400 + 0.693550i
\(7\) −2.20702 1.45913i −0.834175 0.551500i
\(8\) −0.959493 + 0.281733i −0.339232 + 0.0996075i
\(9\) −3.13780 2.01654i −1.04593 0.672181i
\(10\) 0.258822 + 1.80015i 0.0818468 + 0.569257i
\(11\) −0.133389 + 0.0609167i −0.0402183 + 0.0183671i −0.435423 0.900226i \(-0.643401\pi\)
0.395204 + 0.918593i \(0.370674\pi\)
\(12\) 2.35977 1.07767i 0.681208 0.311097i
\(13\) −2.27281 + 0.326780i −0.630363 + 0.0906326i −0.450089 0.892984i \(-0.648608\pi\)
−0.180275 + 0.983616i \(0.557699\pi\)
\(14\) −2.24410 + 1.40143i −0.599762 + 0.374548i
\(15\) −1.32921 4.52687i −0.343200 1.16883i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) −2.03570 + 2.34933i −0.493730 + 0.569795i −0.946859 0.321650i \(-0.895762\pi\)
0.453128 + 0.891445i \(0.350308\pi\)
\(18\) −3.13780 + 2.01654i −0.739587 + 0.475304i
\(19\) −3.74575 4.32283i −0.859334 0.991724i −0.999999 0.00166691i \(-0.999469\pi\)
0.140665 0.990057i \(-0.455076\pi\)
\(20\) 1.74499 + 0.512375i 0.390192 + 0.114571i
\(21\) 5.24501 4.42710i 1.14456 0.966073i
\(22\) 0.146641i 0.0312639i
\(23\) −3.54475 + 3.23029i −0.739131 + 0.673561i
\(24\) 2.59421i 0.529540i
\(25\) −0.703081 + 1.53953i −0.140616 + 0.307907i
\(26\) −0.646909 + 2.20317i −0.126869 + 0.432077i
\(27\) 1.43104 1.24001i 0.275405 0.238639i
\(28\) 0.342551 + 2.62348i 0.0647361 + 0.495792i
\(29\) 4.85965 5.60833i 0.902414 1.04144i −0.0965222 0.995331i \(-0.530772\pi\)
0.998936 0.0461106i \(-0.0146827\pi\)
\(30\) −4.66996 0.671438i −0.852613 0.122587i
\(31\) 0.987591 + 3.36343i 0.177377 + 0.604089i 0.999400 + 0.0346354i \(0.0110270\pi\)
−0.822023 + 0.569454i \(0.807155\pi\)
\(32\) 0.841254 + 0.540641i 0.148714 + 0.0955727i
\(33\) −0.0541388 0.376544i −0.00942436 0.0655479i
\(34\) 1.29136 + 2.82768i 0.221466 + 0.484944i
\(35\) 4.81132 + 0.0623726i 0.813261 + 0.0105429i
\(36\) 0.530822 + 3.69195i 0.0884703 + 0.615324i
\(37\) −1.53951 + 2.39552i −0.253094 + 0.393822i −0.944431 0.328711i \(-0.893386\pi\)
0.691337 + 0.722533i \(0.257022\pi\)
\(38\) −5.48822 + 1.61149i −0.890307 + 0.261418i
\(39\) 0.847736 5.89613i 0.135746 0.944137i
\(40\) 1.19097 1.37445i 0.188309 0.217320i
\(41\) 4.56813 + 7.10816i 0.713423 + 1.11011i 0.988869 + 0.148791i \(0.0475381\pi\)
−0.275446 + 0.961317i \(0.588826\pi\)
\(42\) −1.84818 6.61012i −0.285180 1.01996i
\(43\) −1.10149 + 3.75133i −0.167975 + 0.572072i 0.831878 + 0.554958i \(0.187266\pi\)
−0.999854 + 0.0171134i \(0.994552\pi\)
\(44\) 0.133389 + 0.0609167i 0.0201091 + 0.00918353i
\(45\) 6.78344 1.01122
\(46\) 1.46583 + 4.56633i 0.216125 + 0.673268i
\(47\) 3.45148i 0.503451i −0.967799 0.251725i \(-0.919002\pi\)
0.967799 0.251725i \(-0.0809980\pi\)
\(48\) −2.35977 1.07767i −0.340604 0.155549i
\(49\) 2.74186 + 6.44067i 0.391695 + 0.920095i
\(50\) 1.10834 + 1.27909i 0.156743 + 0.180891i
\(51\) −4.35992 6.78417i −0.610511 0.949974i
\(52\) 1.73534 + 1.50368i 0.240648 + 0.208523i
\(53\) 11.7791 + 1.69357i 1.61798 + 0.232630i 0.890991 0.454021i \(-0.150011\pi\)
0.726987 + 0.686651i \(0.240920\pi\)
\(54\) −0.533473 1.81684i −0.0725964 0.247241i
\(55\) 0.144183 0.224353i 0.0194416 0.0302518i
\(56\) 2.52870 + 0.778238i 0.337912 + 0.103996i
\(57\) 13.4977 6.16420i 1.78782 0.816468i
\(58\) −3.08275 6.75028i −0.404785 0.886355i
\(59\) −2.65098 + 0.381153i −0.345128 + 0.0496219i −0.312699 0.949852i \(-0.601233\pi\)
−0.0324284 + 0.999474i \(0.510324\pi\)
\(60\) −2.55073 + 3.96902i −0.329298 + 0.512398i
\(61\) 3.68508 1.08204i 0.471826 0.138541i −0.0371709 0.999309i \(-0.511835\pi\)
0.508997 + 0.860768i \(0.330016\pi\)
\(62\) 3.46974 + 0.498873i 0.440657 + 0.0633570i
\(63\) 3.98278 + 9.02902i 0.501784 + 1.13755i
\(64\) 0.841254 0.540641i 0.105157 0.0675801i
\(65\) 3.15599 2.73468i 0.391452 0.339195i
\(66\) −0.365006 0.107176i −0.0449292 0.0131924i
\(67\) −1.68393 0.769024i −0.205725 0.0939513i 0.309888 0.950773i \(-0.399708\pi\)
−0.515613 + 0.856822i \(0.672436\pi\)
\(68\) 3.10860 0.376974
\(69\) −5.44982 11.1842i −0.656082 1.34643i
\(70\) 2.05543 4.35062i 0.245671 0.519998i
\(71\) −4.71153 + 10.3168i −0.559155 + 1.22438i 0.393218 + 0.919445i \(0.371362\pi\)
−0.952373 + 0.304934i \(0.901366\pi\)
\(72\) 3.57882 + 1.05084i 0.421768 + 0.123842i
\(73\) −2.35242 + 2.03838i −0.275330 + 0.238575i −0.781569 0.623818i \(-0.785581\pi\)
0.506240 + 0.862393i \(0.331035\pi\)
\(74\) 1.53951 + 2.39552i 0.178964 + 0.278474i
\(75\) −3.31823 2.87526i −0.383156 0.332006i
\(76\) −0.814029 + 5.66170i −0.0933756 + 0.649441i
\(77\) 0.383277 + 0.0601879i 0.0436785 + 0.00685904i
\(78\) −5.01115 3.22047i −0.567401 0.364647i
\(79\) −8.52895 + 1.22628i −0.959582 + 0.137967i −0.604269 0.796780i \(-0.706535\pi\)
−0.355313 + 0.934747i \(0.615626\pi\)
\(80\) −0.755498 1.65431i −0.0844673 0.184958i
\(81\) −2.60776 5.71021i −0.289752 0.634468i
\(82\) 8.36348 1.20249i 0.923592 0.132792i
\(83\) −13.4360 8.63477i −1.47479 0.947789i −0.997618 0.0689784i \(-0.978026\pi\)
−0.477171 0.878811i \(-0.658338\pi\)
\(84\) −6.78053 1.06478i −0.739817 0.116177i
\(85\) 0.804575 5.59594i 0.0872685 0.606965i
\(86\) 2.95475 + 2.56031i 0.318619 + 0.276085i
\(87\) 10.4081 + 16.1952i 1.11586 + 1.73631i
\(88\) 0.110824 0.0960291i 0.0118138 0.0102367i
\(89\) −1.61135 0.473136i −0.170803 0.0501523i 0.195213 0.980761i \(-0.437460\pi\)
−0.366016 + 0.930609i \(0.619278\pi\)
\(90\) 2.81794 6.17043i 0.297037 0.650421i
\(91\) 5.49295 + 2.59512i 0.575817 + 0.272042i
\(92\) 4.76260 + 0.563555i 0.496536 + 0.0587546i
\(93\) −9.09379 −0.942982
\(94\) −3.13958 1.43380i −0.323823 0.147885i
\(95\) 9.98120 + 2.93075i 1.02405 + 0.300688i
\(96\) −1.96057 + 1.69884i −0.200100 + 0.173388i
\(97\) −10.3940 + 6.67984i −1.05535 + 0.678235i −0.948737 0.316065i \(-0.897638\pi\)
−0.106617 + 0.994300i \(0.534002\pi\)
\(98\) 6.99765 + 0.181462i 0.706869 + 0.0183304i
\(99\) 0.541389 + 0.0778400i 0.0544116 + 0.00782321i
\(100\) 1.62392 0.476827i 0.162392 0.0476827i
\(101\) 10.3899 16.1670i 1.03384 1.60868i 0.270455 0.962733i \(-0.412826\pi\)
0.763381 0.645948i \(-0.223538\pi\)
\(102\) −7.98228 + 1.14768i −0.790363 + 0.113637i
\(103\) −1.57755 3.45435i −0.155440 0.340367i 0.815850 0.578263i \(-0.196269\pi\)
−0.971291 + 0.237896i \(0.923542\pi\)
\(104\) 2.08868 0.953867i 0.204812 0.0935344i
\(105\) −3.67171 + 11.9304i −0.358322 + 1.16429i
\(106\) 6.43373 10.0111i 0.624899 0.972361i
\(107\) −3.47745 11.8431i −0.336177 1.14491i −0.938101 0.346361i \(-0.887417\pi\)
0.601924 0.798554i \(-0.294401\pi\)
\(108\) −1.87427 0.269479i −0.180352 0.0259306i
\(109\) −7.96452 6.90130i −0.762863 0.661025i 0.183904 0.982944i \(-0.441126\pi\)
−0.946767 + 0.321920i \(0.895672\pi\)
\(110\) −0.144183 0.224353i −0.0137473 0.0213912i
\(111\) −4.83757 5.58285i −0.459162 0.529901i
\(112\) 1.75837 1.97690i 0.166151 0.186799i
\(113\) 12.0662 + 5.51043i 1.13509 + 0.518378i 0.892184 0.451672i \(-0.149172\pi\)
0.242906 + 0.970050i \(0.421900\pi\)
\(114\) 14.8387i 1.38977i
\(115\) 2.24715 8.42753i 0.209548 0.785871i
\(116\) −7.42089 −0.689012
\(117\) 7.79059 + 3.55784i 0.720240 + 0.328923i
\(118\) −0.754546 + 2.56975i −0.0694616 + 0.236565i
\(119\) 7.92081 2.21465i 0.726099 0.203016i
\(120\) 2.55073 + 3.96902i 0.232849 + 0.362320i
\(121\) −7.18939 + 8.29699i −0.653581 + 0.754272i
\(122\) 0.546582 3.80156i 0.0494852 0.344177i
\(123\) −21.0318 + 6.17549i −1.89637 + 0.556826i
\(124\) 1.89517 2.94895i 0.170192 0.264823i
\(125\) −1.73216 12.0475i −0.154929 1.07756i
\(126\) 9.86759 + 0.127921i 0.879075 + 0.0113961i
\(127\) 1.74860 + 3.82890i 0.155163 + 0.339760i 0.971210 0.238226i \(-0.0765660\pi\)
−0.816047 + 0.577986i \(0.803839\pi\)
\(128\) −0.142315 0.989821i −0.0125790 0.0874887i
\(129\) −8.53247 5.48348i −0.751242 0.482794i
\(130\) −1.17651 4.00681i −0.103186 0.351421i
\(131\) 8.86146 + 1.27409i 0.774229 + 0.111317i 0.518094 0.855324i \(-0.326642\pi\)
0.256135 + 0.966641i \(0.417551\pi\)
\(132\) −0.249119 + 0.287499i −0.0216831 + 0.0250236i
\(133\) 1.95936 + 15.0061i 0.169898 + 1.30119i
\(134\) −1.39906 + 1.21229i −0.120860 + 0.104726i
\(135\) −0.970205 + 3.30421i −0.0835019 + 0.284381i
\(136\) 1.29136 2.82768i 0.110733 0.242472i
\(137\) 14.4444i 1.23407i 0.786935 + 0.617036i \(0.211667\pi\)
−0.786935 + 0.617036i \(0.788333\pi\)
\(138\) −12.4375 + 0.311229i −1.05875 + 0.0264936i
\(139\) 13.4134i 1.13771i 0.822438 + 0.568855i \(0.192613\pi\)
−0.822438 + 0.568855i \(0.807387\pi\)
\(140\) −3.10360 3.67699i −0.262302 0.310763i
\(141\) 8.59117 + 2.52260i 0.723507 + 0.212441i
\(142\) 7.42725 + 8.57151i 0.623281 + 0.719305i
\(143\) 0.283261 0.182041i 0.0236875 0.0152230i
\(144\) 2.44257 2.81888i 0.203548 0.234907i
\(145\) −1.92069 + 13.3587i −0.159505 + 1.10938i
\(146\) 0.876948 + 2.98661i 0.0725767 + 0.247174i
\(147\) −18.0356 + 2.11753i −1.48755 + 0.174651i
\(148\) 2.81858 0.405251i 0.231686 0.0333114i
\(149\) −4.96816 + 2.26888i −0.407008 + 0.185874i −0.608390 0.793639i \(-0.708184\pi\)
0.201382 + 0.979513i \(0.435457\pi\)
\(150\) −3.99387 + 1.82394i −0.326098 + 0.148924i
\(151\) −1.14863 7.98892i −0.0934744 0.650129i −0.981659 0.190643i \(-0.938943\pi\)
0.888185 0.459486i \(-0.151966\pi\)
\(152\) 4.81190 + 3.09242i 0.390297 + 0.250828i
\(153\) 11.1251 3.26664i 0.899415 0.264092i
\(154\) 0.213968 0.323638i 0.0172420 0.0260795i
\(155\) −4.81803 4.17484i −0.386993 0.335332i
\(156\) −5.01115 + 3.22047i −0.401213 + 0.257844i
\(157\) −10.2057 11.7780i −0.814503 0.939987i 0.184579 0.982818i \(-0.440908\pi\)
−0.999082 + 0.0428311i \(0.986362\pi\)
\(158\) −2.42759 + 8.26762i −0.193129 + 0.657737i
\(159\) −12.8245 + 28.0818i −1.01705 + 2.22703i
\(160\) −1.81866 −0.143778
\(161\) 12.5367 1.95704i 0.988034 0.154237i
\(162\) −6.27749 −0.493206
\(163\) −8.55469 + 18.7322i −0.670055 + 1.46722i 0.202792 + 0.979222i \(0.434998\pi\)
−0.872847 + 0.487994i \(0.837729\pi\)
\(164\) 2.38049 8.10722i 0.185885 0.633067i
\(165\) 0.453063 + 0.522863i 0.0352709 + 0.0407048i
\(166\) −13.4360 + 8.63477i −1.04283 + 0.670188i
\(167\) 4.41375 + 3.82453i 0.341546 + 0.295951i 0.808696 0.588227i \(-0.200174\pi\)
−0.467150 + 0.884178i \(0.654719\pi\)
\(168\) −3.78529 + 5.72546i −0.292042 + 0.441729i
\(169\) −7.41454 + 2.17711i −0.570349 + 0.167470i
\(170\) −4.75602 3.05651i −0.364770 0.234423i
\(171\) 3.03626 + 21.1176i 0.232188 + 1.61491i
\(172\) 3.55638 1.62415i 0.271172 0.123840i
\(173\) 1.72175 0.786296i 0.130902 0.0597810i −0.348887 0.937165i \(-0.613440\pi\)
0.479789 + 0.877384i \(0.340713\pi\)
\(174\) 19.0554 2.73975i 1.44458 0.207700i
\(175\) 3.79810 2.37189i 0.287109 0.179298i
\(176\) −0.0413134 0.140701i −0.00311412 0.0106057i
\(177\) 0.988789 6.87718i 0.0743219 0.516920i
\(178\) −1.09976 + 1.26919i −0.0824305 + 0.0951298i
\(179\) 14.6130 9.39120i 1.09223 0.701931i 0.134876 0.990862i \(-0.456936\pi\)
0.957350 + 0.288931i \(0.0932999\pi\)
\(180\) −4.44221 5.12658i −0.331103 0.382113i
\(181\) 19.9652 + 5.86233i 1.48401 + 0.435743i 0.920623 0.390453i \(-0.127682\pi\)
0.563382 + 0.826196i \(0.309500\pi\)
\(182\) 4.64245 3.91851i 0.344122 0.290459i
\(183\) 9.96345i 0.736520i
\(184\) 2.49109 4.09811i 0.183645 0.302117i
\(185\) 5.17875i 0.380749i
\(186\) −3.77769 + 8.27200i −0.276994 + 0.606532i
\(187\) 0.128427 0.437382i 0.00939151 0.0319846i
\(188\) −2.60846 + 2.26024i −0.190241 + 0.164845i
\(189\) −4.96768 + 0.648635i −0.361345 + 0.0471813i
\(190\) 6.81224 7.86175i 0.494212 0.570351i
\(191\) −4.52007 0.649888i −0.327061 0.0470242i −0.0231712 0.999732i \(-0.507376\pi\)
−0.303890 + 0.952707i \(0.598285\pi\)
\(192\) 0.730873 + 2.48912i 0.0527462 + 0.179637i
\(193\) −20.9423 13.4588i −1.50746 0.968787i −0.993847 0.110766i \(-0.964670\pi\)
−0.513615 0.858021i \(-0.671694\pi\)
\(194\) 1.75836 + 12.2296i 0.126243 + 0.878038i
\(195\) 4.50033 + 9.85434i 0.322275 + 0.705684i
\(196\) 3.07199 6.28990i 0.219428 0.449279i
\(197\) 3.28172 + 22.8248i 0.233813 + 1.62620i 0.681365 + 0.731944i \(0.261387\pi\)
−0.447552 + 0.894258i \(0.647704\pi\)
\(198\) 0.295707 0.460129i 0.0210150 0.0326999i
\(199\) 14.6718 4.30802i 1.04005 0.305387i 0.283261 0.959043i \(-0.408584\pi\)
0.756792 + 0.653656i \(0.226765\pi\)
\(200\) 0.240865 1.67525i 0.0170317 0.118458i
\(201\) 3.14493 3.62945i 0.221827 0.256002i
\(202\) −10.3899 16.1670i −0.731033 1.13751i
\(203\) −18.9086 + 5.28683i −1.32713 + 0.371062i
\(204\) −2.27199 + 7.73770i −0.159071 + 0.541747i
\(205\) −13.9781 6.38357i −0.976270 0.445848i
\(206\) −3.79752 −0.264586
\(207\) 17.6367 2.98786i 1.22584 0.207671i
\(208\) 2.29618i 0.159211i
\(209\) 0.762974 + 0.348438i 0.0527760 + 0.0241020i
\(210\) 9.32696 + 8.29596i 0.643622 + 0.572476i
\(211\) −13.0019 15.0050i −0.895089 1.03299i −0.999261 0.0384282i \(-0.987765\pi\)
0.104173 0.994559i \(-0.466781\pi\)
\(212\) −6.43373 10.0111i −0.441870 0.687563i
\(213\) −22.2363 19.2678i −1.52360 1.32021i
\(214\) −12.2174 1.75660i −0.835167 0.120079i
\(215\) −2.00323 6.82238i −0.136619 0.465283i
\(216\) −1.02373 + 1.59295i −0.0696558 + 0.108386i
\(217\) 2.72805 8.86417i 0.185192 0.601739i
\(218\) −9.58622 + 4.37788i −0.649261 + 0.296508i
\(219\) −3.35447 7.34526i −0.226674 0.496346i
\(220\) −0.263975 + 0.0379538i −0.0177972 + 0.00255885i
\(221\) 3.85905 6.00479i 0.259588 0.403926i
\(222\) −7.08794 + 2.08121i −0.475712 + 0.139682i
\(223\) 9.24282 + 1.32892i 0.618945 + 0.0889909i 0.444653 0.895703i \(-0.353327\pi\)
0.174292 + 0.984694i \(0.444236\pi\)
\(224\) −1.06780 2.42070i −0.0713451 0.161740i
\(225\) 5.31066 3.41296i 0.354044 0.227530i
\(226\) 10.0249 8.68666i 0.666849 0.577828i
\(227\) 0.175392 + 0.0514997i 0.0116412 + 0.00341815i 0.287548 0.957766i \(-0.407160\pi\)
−0.275907 + 0.961184i \(0.588978\pi\)
\(228\) −13.4977 6.16420i −0.893908 0.408234i
\(229\) 3.66720 0.242336 0.121168 0.992632i \(-0.461336\pi\)
0.121168 + 0.992632i \(0.461336\pi\)
\(230\) −6.73245 5.54500i −0.443925 0.365627i
\(231\) −0.429942 + 0.910035i −0.0282881 + 0.0598759i
\(232\) −3.08275 + 6.75028i −0.202392 + 0.443177i
\(233\) 12.5155 + 3.67488i 0.819917 + 0.240749i 0.664680 0.747128i \(-0.268568\pi\)
0.155236 + 0.987877i \(0.450386\pi\)
\(234\) 6.47265 5.60859i 0.423131 0.366645i
\(235\) 3.39364 + 5.28061i 0.221377 + 0.344469i
\(236\) 2.02408 + 1.75387i 0.131756 + 0.114167i
\(237\) 3.18122 22.1259i 0.206643 1.43723i
\(238\) 1.27591 8.12502i 0.0827050 0.526667i
\(239\) −5.88648 3.78301i −0.380765 0.244703i 0.336232 0.941779i \(-0.390847\pi\)
−0.716997 + 0.697077i \(0.754484\pi\)
\(240\) 4.66996 0.671438i 0.301444 0.0433412i
\(241\) −12.1600 26.6266i −0.783292 1.71517i −0.694924 0.719083i \(-0.744562\pi\)
−0.0883679 0.996088i \(-0.528165\pi\)
\(242\) 4.56063 + 9.98639i 0.293169 + 0.641950i
\(243\) 21.7422 3.12605i 1.39476 0.200536i
\(244\) −3.23096 2.07641i −0.206841 0.132929i
\(245\) −10.5277 7.15800i −0.672587 0.457308i
\(246\) −3.11950 + 21.6966i −0.198892 + 1.38332i
\(247\) 9.92598 + 8.60091i 0.631575 + 0.547263i
\(248\) −1.89517 2.94895i −0.120344 0.187258i
\(249\) 31.3130 27.1329i 1.98438 1.71948i
\(250\) −11.6783 3.42906i −0.738601 0.216873i
\(251\) −11.6508 + 25.5117i −0.735391 + 1.61028i 0.0555994 + 0.998453i \(0.482293\pi\)
−0.790990 + 0.611829i \(0.790434\pi\)
\(252\) 4.21551 8.92274i 0.265552 0.562079i
\(253\) 0.276052 0.646819i 0.0173552 0.0406651i
\(254\) 4.20928 0.264114
\(255\) 13.3410 + 6.09261i 0.835443 + 0.381534i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −6.21433 + 5.38475i −0.387639 + 0.335891i −0.826778 0.562528i \(-0.809829\pi\)
0.439139 + 0.898419i \(0.355284\pi\)
\(258\) −8.53247 + 5.48348i −0.531208 + 0.341387i
\(259\) 6.89312 3.04062i 0.428317 0.188935i
\(260\) −4.13346 0.594302i −0.256346 0.0368571i
\(261\) −26.5581 + 7.79815i −1.64390 + 0.482693i
\(262\) 4.84013 7.53139i 0.299024 0.465291i
\(263\) −2.68136 + 0.385521i −0.165340 + 0.0237723i −0.224487 0.974477i \(-0.572071\pi\)
0.0591478 + 0.998249i \(0.481162\pi\)
\(264\) 0.158030 + 0.346039i 0.00972610 + 0.0212972i
\(265\) −19.6866 + 8.99057i −1.20934 + 0.552286i
\(266\) 14.4640 + 4.45146i 0.886844 + 0.272937i
\(267\) 2.35539 3.66505i 0.144147 0.224298i
\(268\) 0.521549 + 1.77623i 0.0318587 + 0.108501i
\(269\) −7.86388 1.13065i −0.479469 0.0689372i −0.101657 0.994820i \(-0.532414\pi\)
−0.377812 + 0.925882i \(0.623323\pi\)
\(270\) 2.60258 + 2.25515i 0.158388 + 0.137244i
\(271\) −14.7593 22.9659i −0.896563 1.39508i −0.918543 0.395320i \(-0.870634\pi\)
0.0219806 0.999758i \(-0.493003\pi\)
\(272\) −2.03570 2.34933i −0.123433 0.142449i
\(273\) −10.4742 + 11.7759i −0.633928 + 0.712711i
\(274\) 13.1391 + 6.00044i 0.793763 + 0.362500i
\(275\) 0.248186i 0.0149662i
\(276\) −4.88362 + 11.4428i −0.293959 + 0.688777i
\(277\) 11.8830 0.713982 0.356991 0.934108i \(-0.383803\pi\)
0.356991 + 0.934108i \(0.383803\pi\)
\(278\) 12.2013 + 5.57213i 0.731783 + 0.334194i
\(279\) 3.68363 12.5453i 0.220533 0.751066i
\(280\) −4.63400 + 1.29566i −0.276934 + 0.0774304i
\(281\) 4.01896 + 6.25362i 0.239751 + 0.373060i 0.940189 0.340654i \(-0.110648\pi\)
−0.700438 + 0.713713i \(0.747012\pi\)
\(282\) 5.86354 6.76688i 0.349168 0.402962i
\(283\) −1.99165 + 13.8523i −0.118392 + 0.823431i 0.840936 + 0.541135i \(0.182005\pi\)
−0.959327 + 0.282296i \(0.908904\pi\)
\(284\) 10.8823 3.19534i 0.645746 0.189608i
\(285\) −14.5900 + 22.7024i −0.864236 + 1.34478i
\(286\) −0.0479193 0.333286i −0.00283352 0.0197076i
\(287\) 0.289783 22.3533i 0.0171053 1.31948i
\(288\) −1.54946 3.39285i −0.0913029 0.199925i
\(289\) 1.04411 + 7.26191i 0.0614179 + 0.427171i
\(290\) 11.3536 + 7.29652i 0.666707 + 0.428467i
\(291\) −9.03023 30.7541i −0.529362 1.80284i
\(292\) 3.08101 + 0.442983i 0.180303 + 0.0259236i
\(293\) 10.4828 12.0978i 0.612410 0.706759i −0.361837 0.932241i \(-0.617850\pi\)
0.974247 + 0.225483i \(0.0723959\pi\)
\(294\) −5.56607 + 17.2854i −0.324620 + 1.00810i
\(295\) 3.68110 3.18969i 0.214322 0.185711i
\(296\) 0.802252 2.73222i 0.0466299 0.158807i
\(297\) −0.115348 + 0.252578i −0.00669319 + 0.0146560i
\(298\) 5.46173i 0.316390i
\(299\) 7.00094 8.50018i 0.404875 0.491578i
\(300\) 4.39064i 0.253494i
\(301\) 7.90469 6.67203i 0.455619 0.384569i
\(302\) −7.74413 2.27388i −0.445625 0.130847i
\(303\) 32.6481 + 37.6779i 1.87558 + 2.16454i
\(304\) 4.81190 3.09242i 0.275981 0.177363i
\(305\) −4.57410 + 5.27879i −0.261912 + 0.302263i
\(306\) 1.65011 11.4768i 0.0943308 0.656085i
\(307\) 4.38038 + 14.9182i 0.250001 + 0.851426i 0.984882 + 0.173229i \(0.0554202\pi\)
−0.734880 + 0.678197i \(0.762762\pi\)
\(308\) −0.205506 0.329076i −0.0117098 0.0187509i
\(309\) 9.75129 1.40202i 0.554732 0.0797584i
\(310\) −5.79905 + 2.64834i −0.329364 + 0.150416i
\(311\) 7.24614 3.30920i 0.410891 0.187648i −0.199236 0.979952i \(-0.563846\pi\)
0.610126 + 0.792304i \(0.291119\pi\)
\(312\) 0.847736 + 5.89613i 0.0479936 + 0.333803i
\(313\) 16.8700 + 10.8417i 0.953548 + 0.612808i 0.922205 0.386701i \(-0.126385\pi\)
0.0313426 + 0.999509i \(0.490022\pi\)
\(314\) −14.9532 + 4.39067i −0.843860 + 0.247780i
\(315\) −14.9712 9.89793i −0.843530 0.557685i
\(316\) 6.51204 + 5.64271i 0.366331 + 0.317427i
\(317\) 5.65169 3.63212i 0.317431 0.204000i −0.372216 0.928146i \(-0.621402\pi\)
0.689647 + 0.724146i \(0.257766\pi\)
\(318\) 20.2166 + 23.3312i 1.13369 + 1.30835i
\(319\) −0.306582 + 1.04412i −0.0171653 + 0.0584597i
\(320\) −0.755498 + 1.65431i −0.0422336 + 0.0924788i
\(321\) 32.0205 1.78721
\(322\) 3.42776 12.2168i 0.191022 0.680816i
\(323\) 17.7810 0.989359
\(324\) −2.60776 + 5.71021i −0.144876 + 0.317234i
\(325\) 1.09488 3.72882i 0.0607330 0.206838i
\(326\) 13.4856 + 15.5632i 0.746900 + 0.861968i
\(327\) 22.9992 14.7807i 1.27186 0.817375i
\(328\) −6.38569 5.53323i −0.352591 0.305522i
\(329\) −5.03617 + 7.61749i −0.277653 + 0.419966i
\(330\) 0.663822 0.194916i 0.0365422 0.0107298i
\(331\) 13.9657 + 8.97522i 0.767625 + 0.493323i 0.864906 0.501934i \(-0.167378\pi\)
−0.0972805 + 0.995257i \(0.531014\pi\)
\(332\) 2.27296 + 15.8088i 0.124745 + 0.867620i
\(333\) 9.66135 4.41219i 0.529439 0.241787i
\(334\) 5.31246 2.42612i 0.290685 0.132751i
\(335\) 3.33247 0.479137i 0.182072 0.0261780i
\(336\) 3.63560 + 5.82167i 0.198338 + 0.317598i
\(337\) −2.70761 9.22128i −0.147493 0.502315i 0.852292 0.523067i \(-0.175212\pi\)
−0.999785 + 0.0207519i \(0.993394\pi\)
\(338\) −1.09975 + 7.64890i −0.0598183 + 0.416046i
\(339\) −22.5350 + 26.0068i −1.22393 + 1.41249i
\(340\) −4.75602 + 3.05651i −0.257931 + 0.165762i
\(341\) −0.336622 0.388483i −0.0182291 0.0210375i
\(342\) 20.4706 + 6.01070i 1.10692 + 0.325022i
\(343\) 3.34644 18.2154i 0.180691 0.983540i
\(344\) 3.90970i 0.210797i
\(345\) 19.3348 + 11.7529i 1.04095 + 0.632754i
\(346\) 1.89280i 0.101757i
\(347\) −5.96324 + 13.0577i −0.320123 + 0.700972i −0.999460 0.0328544i \(-0.989540\pi\)
0.679337 + 0.733827i \(0.262268\pi\)
\(348\) 5.42373 18.4715i 0.290742 0.990177i
\(349\) −20.0486 + 17.3722i −1.07318 + 0.929912i −0.997737 0.0672383i \(-0.978581\pi\)
−0.0754389 + 0.997150i \(0.524036\pi\)
\(350\) −0.579761 4.44019i −0.0309895 0.237338i
\(351\) −2.84728 + 3.28593i −0.151976 + 0.175390i
\(352\) −0.145148 0.0208691i −0.00773641 0.00111233i
\(353\) 6.89578 + 23.4849i 0.367025 + 1.24997i 0.911536 + 0.411220i \(0.134897\pi\)
−0.544511 + 0.838754i \(0.683285\pi\)
\(354\) −5.84494 3.75632i −0.310655 0.199646i
\(355\) −2.93549 20.4168i −0.155800 1.08361i
\(356\) 0.697639 + 1.52762i 0.0369748 + 0.0809636i
\(357\) −0.276575 + 21.3345i −0.0146379 + 1.12914i
\(358\) −2.47208 17.1937i −0.130653 0.908715i
\(359\) 5.88889 9.16329i 0.310804 0.483620i −0.650350 0.759635i \(-0.725378\pi\)
0.961153 + 0.276015i \(0.0890139\pi\)
\(360\) −6.50866 + 1.91112i −0.343037 + 0.100725i
\(361\) −1.95220 + 13.5778i −0.102747 + 0.714623i
\(362\) 13.6264 15.7257i 0.716189 0.826526i
\(363\) −15.3977 23.9593i −0.808171 1.25754i
\(364\) −1.63586 5.85073i −0.0857421 0.306662i
\(365\) 1.59487 5.43162i 0.0834792 0.284304i
\(366\) 9.06307 + 4.13897i 0.473734 + 0.216347i
\(367\) −30.5671 −1.59559 −0.797795 0.602928i \(-0.794001\pi\)
−0.797795 + 0.602928i \(0.794001\pi\)
\(368\) −2.69294 3.96839i −0.140379 0.206866i
\(369\) 31.5158i 1.64065i
\(370\) −4.71076 2.15133i −0.244901 0.111842i
\(371\) −23.5255 20.9250i −1.22138 1.08637i
\(372\) 5.95516 + 6.87262i 0.308761 + 0.356329i
\(373\) −19.0258 29.6047i −0.985117 1.53287i −0.839378 0.543549i \(-0.817080\pi\)
−0.145739 0.989323i \(-0.546556\pi\)
\(374\) −0.344506 0.298516i −0.0178140 0.0154359i
\(375\) 31.2536 + 4.49359i 1.61393 + 0.232048i
\(376\) 0.972396 + 3.31168i 0.0501475 + 0.170787i
\(377\) −9.21235 + 14.3347i −0.474460 + 0.738275i
\(378\) −1.47363 + 4.78821i −0.0757952 + 0.246279i
\(379\) 16.8499 7.69508i 0.865520 0.395270i 0.0673694 0.997728i \(-0.478539\pi\)
0.798150 + 0.602459i \(0.205812\pi\)
\(380\) −4.32139 9.46252i −0.221683 0.485417i
\(381\) −10.8086 + 1.55404i −0.553741 + 0.0796160i
\(382\) −2.46886 + 3.84163i −0.126318 + 0.196555i
\(383\) −16.6163 + 4.87900i −0.849055 + 0.249305i −0.677183 0.735814i \(-0.736800\pi\)
−0.171872 + 0.985119i \(0.554981\pi\)
\(384\) 2.56780 + 0.369194i 0.131038 + 0.0188404i
\(385\) −0.645576 + 0.284770i −0.0329016 + 0.0145132i
\(386\) −20.9423 + 13.4588i −1.06594 + 0.685036i
\(387\) 11.0210 9.54972i 0.560227 0.485439i
\(388\) 11.8549 + 3.48092i 0.601843 + 0.176717i
\(389\) 15.0821 + 6.88779i 0.764695 + 0.349225i 0.759283 0.650761i \(-0.225550\pi\)
0.00541238 + 0.999985i \(0.498277\pi\)
\(390\) 10.8333 0.548567
\(391\) −0.372942 14.9037i −0.0188605 0.753711i
\(392\) −4.44534 5.40730i −0.224524 0.273110i
\(393\) −9.64796 + 21.1261i −0.486675 + 1.06567i
\(394\) 22.1255 + 6.49663i 1.11467 + 0.327295i
\(395\) 11.8432 10.2622i 0.595895 0.516346i
\(396\) −0.295707 0.460129i −0.0148598 0.0231223i
\(397\) 0.0352935 + 0.0305820i 0.00177133 + 0.00153487i 0.655746 0.754982i \(-0.272354\pi\)
−0.653975 + 0.756516i \(0.726900\pi\)
\(398\) 2.17616 15.1355i 0.109081 0.758675i
\(399\) −38.7841 6.09045i −1.94163 0.304904i
\(400\) −1.42380 0.915023i −0.0711902 0.0457512i
\(401\) −17.6863 + 2.54291i −0.883213 + 0.126987i −0.568973 0.822356i \(-0.692659\pi\)
−0.314241 + 0.949343i \(0.601750\pi\)
\(402\) −1.99501 4.36846i −0.0995020 0.217879i
\(403\) −3.34371 7.32169i −0.166562 0.364720i
\(404\) −19.0222 + 2.73498i −0.946389 + 0.136070i
\(405\) 9.60427 + 6.17229i 0.477240 + 0.306704i
\(406\) −3.04587 + 19.3961i −0.151164 + 0.962614i
\(407\) 0.0594262 0.413318i 0.00294565 0.0204874i
\(408\) 6.09464 + 5.28103i 0.301730 + 0.261450i
\(409\) 15.3054 + 23.8157i 0.756804 + 1.17761i 0.979248 + 0.202664i \(0.0649599\pi\)
−0.222445 + 0.974945i \(0.571404\pi\)
\(410\) −11.6134 + 10.0631i −0.573545 + 0.496979i
\(411\) −35.9540 10.5570i −1.77348 0.520741i
\(412\) −1.57755 + 3.45435i −0.0777202 + 0.170184i
\(413\) 6.40690 + 3.02691i 0.315263 + 0.148945i
\(414\) 4.60871 17.2841i 0.226506 0.849469i
\(415\) 29.0465 1.42583
\(416\) −2.08868 0.953867i −0.102406 0.0467672i
\(417\) −33.3876 9.80349i −1.63500 0.480079i
\(418\) 0.633901 0.549279i 0.0310051 0.0268661i
\(419\) 1.92096 1.23452i 0.0938448 0.0603104i −0.492877 0.870099i \(-0.664055\pi\)
0.586722 + 0.809789i \(0.300418\pi\)
\(420\) 11.4208 5.03784i 0.557280 0.245821i
\(421\) −20.1264 2.89374i −0.980901 0.141032i −0.366834 0.930286i \(-0.619558\pi\)
−0.614067 + 0.789254i \(0.710467\pi\)
\(422\) −19.0502 + 5.59365i −0.927351 + 0.272295i
\(423\) −6.96007 + 10.8301i −0.338410 + 0.526576i
\(424\) −11.7791 + 1.69357i −0.572042 + 0.0822472i
\(425\) −2.18560 4.78580i −0.106017 0.232145i
\(426\) −26.7639 + 12.2227i −1.29672 + 0.592191i
\(427\) −9.71188 2.98894i −0.469991 0.144645i
\(428\) −6.67317 + 10.3837i −0.322560 + 0.501913i
\(429\) 0.246094 + 0.838120i 0.0118815 + 0.0404648i
\(430\) −7.03803 1.01192i −0.339404 0.0487989i
\(431\) −0.581106 0.503531i −0.0279909 0.0242542i 0.640753 0.767747i \(-0.278622\pi\)
−0.668744 + 0.743493i \(0.733168\pi\)
\(432\) 1.02373 + 1.59295i 0.0492541 + 0.0766408i
\(433\) 14.4388 + 16.6632i 0.693883 + 0.800783i 0.987912 0.155013i \(-0.0495419\pi\)
−0.294030 + 0.955796i \(0.594996\pi\)
\(434\) −6.92986 6.16383i −0.332644 0.295873i
\(435\) −31.8477 14.5443i −1.52698 0.697348i
\(436\) 10.5386i 0.504706i
\(437\) 27.2417 + 3.22349i 1.30315 + 0.154200i
\(438\) −8.07498 −0.385837
\(439\) 18.2930 + 8.35414i 0.873078 + 0.398722i 0.800991 0.598677i \(-0.204307\pi\)
0.0720876 + 0.997398i \(0.477034\pi\)
\(440\) −0.0751350 + 0.255886i −0.00358192 + 0.0121989i
\(441\) 4.38445 25.7386i 0.208783 1.22565i
\(442\) −3.85905 6.00479i −0.183556 0.285619i
\(443\) 9.43794 10.8920i 0.448410 0.517493i −0.485871 0.874031i \(-0.661497\pi\)
0.934281 + 0.356538i \(0.116043\pi\)
\(444\) −1.05130 + 7.31198i −0.0498927 + 0.347011i
\(445\) 2.93050 0.860473i 0.138919 0.0407903i
\(446\) 5.04843 7.85551i 0.239050 0.371969i
\(447\) −2.01644 14.0246i −0.0953743 0.663343i
\(448\) −2.64553 0.0342959i −0.124989 0.00162033i
\(449\) −8.94067 19.5773i −0.421936 0.923912i −0.994567 0.104098i \(-0.966804\pi\)
0.572631 0.819814i \(-0.305923\pi\)
\(450\) −0.898405 6.24854i −0.0423512 0.294559i
\(451\) −1.04234 0.669874i −0.0490821 0.0315431i
\(452\) −3.73715 12.7276i −0.175781 0.598654i
\(453\) 20.7249 + 2.97979i 0.973741 + 0.140003i
\(454\) 0.119706 0.138148i 0.00561808 0.00648362i
\(455\) −10.9556 + 1.43048i −0.513605 + 0.0670621i
\(456\) −11.2143 + 9.71725i −0.525158 + 0.455052i
\(457\) −6.06688 + 20.6619i −0.283797 + 0.966523i 0.687008 + 0.726650i \(0.258924\pi\)
−0.970804 + 0.239873i \(0.922894\pi\)
\(458\) 1.52341 3.33581i 0.0711844 0.155872i
\(459\) 5.88627i 0.274748i
\(460\) −7.84067 + 3.82058i −0.365573 + 0.178135i
\(461\) 37.7904i 1.76007i 0.474904 + 0.880037i \(0.342483\pi\)
−0.474904 + 0.880037i \(0.657517\pi\)
\(462\) 0.649193 + 0.769131i 0.0302032 + 0.0357832i
\(463\) −6.89065 2.02328i −0.320236 0.0940297i 0.117664 0.993053i \(-0.462459\pi\)
−0.437900 + 0.899024i \(0.644278\pi\)
\(464\) 4.85965 + 5.60833i 0.225604 + 0.260360i
\(465\) 13.9131 8.94138i 0.645203 0.414647i
\(466\) 8.54191 9.85788i 0.395696 0.456658i
\(467\) −0.311445 + 2.16614i −0.0144119 + 0.100237i −0.995758 0.0920137i \(-0.970670\pi\)
0.981346 + 0.192251i \(0.0615787\pi\)
\(468\) −2.41291 8.21762i −0.111537 0.379860i
\(469\) 2.59435 + 4.15433i 0.119796 + 0.191829i
\(470\) 6.21318 0.893321i 0.286593 0.0412058i
\(471\) 36.7760 16.7950i 1.69455 0.773874i
\(472\) 2.43621 1.11258i 0.112136 0.0512106i
\(473\) −0.0815919 0.567484i −0.00375160 0.0260930i
\(474\) −18.8049 12.0852i −0.863737 0.555090i
\(475\) 9.28870 2.72741i 0.426195 0.125142i
\(476\) −6.86075 4.53586i −0.314462 0.207901i
\(477\) −33.5452 29.0671i −1.53593 1.33089i
\(478\) −5.88648 + 3.78301i −0.269241 + 0.173031i
\(479\) 1.99626 + 2.30381i 0.0912116 + 0.105264i 0.799520 0.600639i \(-0.205087\pi\)
−0.708309 + 0.705903i \(0.750542\pi\)
\(480\) 1.32921 4.52687i 0.0606698 0.206622i
\(481\) 2.71620 5.94765i 0.123848 0.271189i
\(482\) −29.2718 −1.33330
\(483\) −4.29144 + 32.6359i −0.195267 + 1.48498i
\(484\) 10.9785 0.499023
\(485\) 9.33449 20.4397i 0.423857 0.928118i
\(486\) 6.18847 21.0760i 0.280715 0.956026i
\(487\) 3.82734 + 4.41698i 0.173433 + 0.200153i 0.835811 0.549018i \(-0.184998\pi\)
−0.662378 + 0.749170i \(0.730453\pi\)
\(488\) −3.23096 + 2.07641i −0.146259 + 0.0939949i
\(489\) −40.3743 34.9845i −1.82579 1.58205i
\(490\) −10.8845 + 6.60275i −0.491711 + 0.298282i
\(491\) −24.0904 + 7.07358i −1.08719 + 0.319226i −0.775750 0.631041i \(-0.782628\pi\)
−0.311436 + 0.950267i \(0.600810\pi\)
\(492\) 18.4400 + 11.8507i 0.831341 + 0.534270i
\(493\) 3.28300 + 22.8338i 0.147859 + 1.02838i
\(494\) 11.9471 5.45604i 0.537524 0.245479i
\(495\) −0.904835 + 0.413224i −0.0406693 + 0.0185731i
\(496\) −3.46974 + 0.498873i −0.155796 + 0.0224001i
\(497\) 25.4520 15.8946i 1.14168 0.712972i
\(498\) −11.6730 39.7547i −0.523081 1.78145i
\(499\) 0.874394 6.08155i 0.0391433 0.272247i −0.960845 0.277086i \(-0.910631\pi\)
0.999988 + 0.00483891i \(0.00154028\pi\)
\(500\) −7.97053 + 9.19848i −0.356453 + 0.411369i
\(501\) −12.7456 + 8.19112i −0.569433 + 0.365952i
\(502\) 18.3663 + 21.1959i 0.819729 + 0.946017i
\(503\) 35.1771 + 10.3289i 1.56847 + 0.460545i 0.946556 0.322540i \(-0.104537\pi\)
0.621915 + 0.783084i \(0.286355\pi\)
\(504\) −6.36522 7.54120i −0.283529 0.335912i
\(505\) 34.9506i 1.55528i
\(506\) −0.473691 0.519804i −0.0210581 0.0231081i
\(507\) 20.0469i 0.890314i
\(508\) 1.74860 3.82890i 0.0775815 0.169880i
\(509\) −10.1534 + 34.5794i −0.450043 + 1.53271i 0.352325 + 0.935878i \(0.385391\pi\)
−0.802368 + 0.596829i \(0.796427\pi\)
\(510\) 11.0841 9.60440i 0.490811 0.425290i
\(511\) 8.16610 1.06626i 0.361247 0.0471684i
\(512\) −0.654861 + 0.755750i −0.0289410 + 0.0333997i
\(513\) −10.7207 1.54140i −0.473329 0.0680544i
\(514\) 2.31661 + 7.88966i 0.102181 + 0.347998i
\(515\) 5.81003 + 3.73388i 0.256021 + 0.164535i
\(516\) 1.44344 + 10.0393i 0.0635438 + 0.441957i
\(517\) 0.210253 + 0.460390i 0.00924692 + 0.0202479i
\(518\) 0.0976599 7.53332i 0.00429093 0.330995i
\(519\) 0.698809 + 4.86032i 0.0306743 + 0.213345i
\(520\) −2.25770 + 3.51305i −0.0990066 + 0.154057i
\(521\) −28.2098 + 8.28315i −1.23589 + 0.362891i −0.833471 0.552562i \(-0.813650\pi\)
−0.402423 + 0.915454i \(0.631832\pi\)
\(522\) −3.93917 + 27.3975i −0.172413 + 1.19916i
\(523\) 0.211236 0.243779i 0.00923670 0.0106597i −0.751112 0.660174i \(-0.770482\pi\)
0.760349 + 0.649515i \(0.225028\pi\)
\(524\) −4.84013 7.53139i −0.211442 0.329010i
\(525\) 3.12800 + 11.1875i 0.136517 + 0.488262i
\(526\) −0.763194 + 2.59920i −0.0332769 + 0.113331i
\(527\) −9.91222 4.52676i −0.431783 0.197189i
\(528\) 0.380416 0.0165555
\(529\) 2.13049 22.9011i 0.0926302 0.995701i
\(530\) 21.6424i 0.940085i
\(531\) 9.08684 + 4.14982i 0.394335 + 0.180087i
\(532\) 10.0577 11.3077i 0.436059 0.490251i
\(533\) −12.7053 14.6627i −0.550328 0.635112i
\(534\) −2.35539 3.66505i −0.101928 0.158602i
\(535\) 16.9649 + 14.7002i 0.733459 + 0.635546i
\(536\) 1.83238 + 0.263456i 0.0791466 + 0.0113796i
\(537\) 12.6956 + 43.2373i 0.547857 + 1.86583i
\(538\) −4.29525 + 6.68354i −0.185181 + 0.288148i
\(539\) −0.758078 0.692088i −0.0326527 0.0298103i
\(540\) 3.13251 1.43057i 0.134802 0.0615618i
\(541\) 10.3658 + 22.6980i 0.445661 + 0.975862i 0.990524 + 0.137337i \(0.0438542\pi\)
−0.544863 + 0.838525i \(0.683418\pi\)
\(542\) −27.0217 + 3.88514i −1.16068 + 0.166881i
\(543\) −29.1841 + 45.4114i −1.25241 + 1.94879i
\(544\) −2.98268 + 0.875795i −0.127881 + 0.0375494i
\(545\) 18.9710 + 2.72762i 0.812628 + 0.116838i
\(546\) 6.36061 + 14.4196i 0.272209 + 0.617101i
\(547\) −7.95636 + 5.11324i −0.340189 + 0.218626i −0.699569 0.714565i \(-0.746625\pi\)
0.359380 + 0.933191i \(0.382988\pi\)
\(548\) 10.9164 9.45909i 0.466324 0.404072i
\(549\) −13.7450 4.03590i −0.586623 0.172248i
\(550\) −0.225758 0.103100i −0.00962635 0.00439621i
\(551\) −42.4469 −1.80830
\(552\) 8.38003 + 9.19581i 0.356678 + 0.391400i
\(553\) 20.6129 + 9.73846i 0.876548 + 0.414121i
\(554\) 4.93639 10.8092i 0.209727 0.459238i
\(555\) 12.8905 + 3.78501i 0.547173 + 0.160665i
\(556\) 10.1372 8.78391i 0.429912 0.372521i
\(557\) 7.89677 + 12.2876i 0.334597 + 0.520643i 0.967261 0.253783i \(-0.0816750\pi\)
−0.632664 + 0.774426i \(0.718039\pi\)
\(558\) −9.88135 8.56224i −0.418311 0.362469i
\(559\) 1.27761 8.88599i 0.0540372 0.375837i
\(560\) −0.746459 + 4.75347i −0.0315437 + 0.200871i
\(561\) 0.994835 + 0.639341i 0.0420020 + 0.0269930i
\(562\) 7.35803 1.05792i 0.310380 0.0446258i
\(563\) 6.58852 + 14.4268i 0.277673 + 0.608019i 0.996163 0.0875184i \(-0.0278937\pi\)
−0.718490 + 0.695537i \(0.755166\pi\)
\(564\) −3.71957 8.14472i −0.156622 0.342955i
\(565\) −23.8788 + 3.43325i −1.00459 + 0.144438i
\(566\) 11.7731 + 7.56611i 0.494860 + 0.318027i
\(567\) −2.57657 + 16.4076i −0.108206 + 0.689055i
\(568\) 1.61410 11.2263i 0.0677260 0.471045i
\(569\) −21.0111 18.2062i −0.880831 0.763245i 0.0917562 0.995782i \(-0.470752\pi\)
−0.972588 + 0.232537i \(0.925297\pi\)
\(570\) 14.5900 + 22.7024i 0.611107 + 0.950901i
\(571\) 16.7289 14.4956i 0.700081 0.606624i −0.230342 0.973110i \(-0.573985\pi\)
0.930424 + 0.366486i \(0.119439\pi\)
\(572\) −0.323074 0.0948630i −0.0135084 0.00396642i
\(573\) 4.92125 10.7760i 0.205588 0.450175i
\(574\) −20.2129 9.54951i −0.843672 0.398589i
\(575\) −2.48089 7.72841i −0.103460 0.322297i
\(576\) −3.72991 −0.155413
\(577\) −1.23337 0.563260i −0.0513457 0.0234488i 0.389577 0.920994i \(-0.372621\pi\)
−0.440922 + 0.897545i \(0.645349\pi\)
\(578\) 7.03940 + 2.06696i 0.292801 + 0.0859740i
\(579\) 48.8068 42.2914i 2.02834 1.75757i
\(580\) 11.3536 7.29652i 0.471433 0.302972i
\(581\) 17.0542 + 38.6620i 0.707525 + 1.60397i
\(582\) −31.7262 4.56155i −1.31510 0.189082i
\(583\) −1.67436 + 0.491637i −0.0693450 + 0.0203615i
\(584\) 1.68285 2.61857i 0.0696368 0.108357i
\(585\) −15.4174 + 2.21669i −0.637433 + 0.0916490i
\(586\) −6.64981 14.5611i −0.274701 0.601512i
\(587\) −42.3510 + 19.3411i −1.74801 + 0.798291i −0.758887 + 0.651222i \(0.774257\pi\)
−0.989126 + 0.147069i \(0.953016\pi\)
\(588\) 13.4111 + 12.2437i 0.553065 + 0.504921i
\(589\) 10.8402 16.8677i 0.446664 0.695023i
\(590\) −1.37226 4.67350i −0.0564951 0.192405i
\(591\) −59.2124 8.51345i −2.43567 0.350197i
\(592\) −2.15205 1.86476i −0.0884486 0.0766411i
\(593\) −16.6491 25.9065i −0.683696 1.06385i −0.993586 0.113080i \(-0.963928\pi\)
0.309889 0.950773i \(-0.399708\pi\)
\(594\) 0.181835 + 0.209849i 0.00746079 + 0.00861021i
\(595\) −9.94094 + 11.1764i −0.407539 + 0.458187i
\(596\) 4.96816 + 2.26888i 0.203504 + 0.0929371i
\(597\) 39.6684i 1.62352i
\(598\) −4.82374 9.89938i −0.197257 0.404816i
\(599\) 5.12884 0.209559 0.104779 0.994496i \(-0.466586\pi\)
0.104779 + 0.994496i \(0.466586\pi\)
\(600\) 3.99387 + 1.82394i 0.163049 + 0.0744620i
\(601\) −0.950241 + 3.23622i −0.0387611 + 0.132008i −0.976601 0.215061i \(-0.931005\pi\)
0.937839 + 0.347069i \(0.112823\pi\)
\(602\) −2.78536 9.96202i −0.113523 0.406022i
\(603\) 3.73306 + 5.80876i 0.152022 + 0.236551i
\(604\) −5.28542 + 6.09971i −0.215061 + 0.248193i
\(605\) 2.84148 19.7629i 0.115523 0.803477i
\(606\) 47.8355 14.0458i 1.94318 0.570570i
\(607\) −23.5283 + 36.6108i −0.954986 + 1.48599i −0.0829450 + 0.996554i \(0.526433\pi\)
−0.872041 + 0.489433i \(0.837204\pi\)
\(608\) −0.814029 5.66170i −0.0330132 0.229612i
\(609\) 0.660242 50.9299i 0.0267544 2.06379i
\(610\) 2.90161 + 6.35363i 0.117483 + 0.257251i
\(611\) 1.12788 + 7.84456i 0.0456290 + 0.317357i
\(612\) −9.75418 6.26863i −0.394289 0.253394i
\(613\) 13.4163 + 45.6917i 0.541879 + 1.84547i 0.533971 + 0.845503i \(0.320699\pi\)
0.00790810 + 0.999969i \(0.497483\pi\)
\(614\) 15.3897 + 2.21271i 0.621079 + 0.0892977i
\(615\) 26.1057 30.1276i 1.05268 1.21486i
\(616\) −0.384709 + 0.0502319i −0.0155004 + 0.00202390i
\(617\) 0.242398 0.210039i 0.00975858 0.00845586i −0.649968 0.759962i \(-0.725218\pi\)
0.659726 + 0.751506i \(0.270672\pi\)
\(618\) 2.77551 9.45251i 0.111647 0.380236i
\(619\) 10.6305 23.2776i 0.427276 0.935604i −0.566485 0.824072i \(-0.691697\pi\)
0.993761 0.111532i \(-0.0355756\pi\)
\(620\) 6.37516i 0.256033i
\(621\) −1.06711 + 9.01820i −0.0428218 + 0.361888i
\(622\) 7.96601i 0.319408i
\(623\) 2.86592 + 3.39540i 0.114821 + 0.136034i
\(624\) 5.71547 + 1.67821i 0.228802 + 0.0671824i
\(625\) 8.95399 + 10.3335i 0.358159 + 0.413338i
\(626\) 16.8700 10.8417i 0.674260 0.433321i
\(627\) −1.42494 + 1.64447i −0.0569067 + 0.0656739i
\(628\) −2.21791 + 15.4259i −0.0885042 + 0.615560i
\(629\) −2.49388 8.49338i −0.0994376 0.338653i
\(630\) −15.2227 + 9.50651i −0.606488 + 0.378748i
\(631\) −15.9410 + 2.29197i −0.634600 + 0.0912417i −0.452105 0.891965i \(-0.649327\pi\)
−0.182496 + 0.983207i \(0.558418\pi\)
\(632\) 7.83799 3.57949i 0.311778 0.142384i
\(633\) 46.8521 21.3966i 1.86220 0.850439i
\(634\) −0.956097 6.64980i −0.0379715 0.264097i
\(635\) −6.44000 4.13874i −0.255564 0.164241i
\(636\) 29.6210 8.69752i 1.17455 0.344879i
\(637\) −8.33641 13.7424i −0.330301 0.544494i
\(638\) 0.822409 + 0.712621i 0.0325595 + 0.0282130i
\(639\) 35.5881 22.8711i 1.40784 0.904766i
\(640\) 1.19097 + 1.37445i 0.0470772 + 0.0543299i
\(641\) −2.28167 + 7.77067i −0.0901207 + 0.306923i −0.992202 0.124644i \(-0.960221\pi\)
0.902081 + 0.431567i \(0.142039\pi\)
\(642\) 13.3018 29.1269i 0.524980 1.14955i
\(643\) 13.5694 0.535126 0.267563 0.963540i \(-0.413782\pi\)
0.267563 + 0.963540i \(0.413782\pi\)
\(644\) −9.68886 8.19305i −0.381794 0.322851i
\(645\) 18.4459 0.726305
\(646\) 7.38648 16.1741i 0.290617 0.636362i
\(647\) 11.1932 38.1206i 0.440051 1.49868i −0.379240 0.925298i \(-0.623814\pi\)
0.819291 0.573378i \(-0.194367\pi\)
\(648\) 4.11088 + 4.74421i 0.161491 + 0.186370i
\(649\) 0.330392 0.212330i 0.0129690 0.00833469i
\(650\) −2.93702 2.54494i −0.115199 0.0998209i
\(651\) 20.0702 + 13.2690i 0.786611 + 0.520055i
\(652\) 19.7590 5.80175i 0.773820 0.227214i
\(653\) −0.114571 0.0736301i −0.00448350 0.00288137i 0.538397 0.842691i \(-0.319030\pi\)
−0.542881 + 0.839810i \(0.682666\pi\)
\(654\) −3.89078 27.0610i −0.152142 1.05817i
\(655\) −14.8104 + 6.76366i −0.578688 + 0.264278i
\(656\) −7.68592 + 3.51004i −0.300085 + 0.137044i
\(657\) 11.4919 1.65229i 0.448342 0.0644618i
\(658\) 4.83701 + 7.74549i 0.188566 + 0.301950i
\(659\) −6.35806 21.6536i −0.247675 0.843503i −0.985668 0.168695i \(-0.946045\pi\)
0.737993 0.674808i \(-0.235774\pi\)
\(660\) 0.0984601 0.684805i 0.00383255 0.0266560i
\(661\) −6.49448 + 7.49503i −0.252606 + 0.291523i −0.867863 0.496804i \(-0.834507\pi\)
0.615257 + 0.788327i \(0.289052\pi\)
\(662\) 13.9657 8.97522i 0.542793 0.348832i
\(663\) 12.1262 + 13.9944i 0.470943 + 0.543497i
\(664\) 15.3244 + 4.49965i 0.594702 + 0.174620i
\(665\) −17.7524 21.0321i −0.688407 0.815590i
\(666\) 10.6212i 0.411562i
\(667\) 0.890290 + 35.5782i 0.0344722 + 1.37759i
\(668\) 5.84023i 0.225965i
\(669\) −10.0632 + 22.0353i −0.389064 + 0.851932i
\(670\) 0.948520 3.23036i 0.0366445 0.124800i
\(671\) −0.425635 + 0.368815i −0.0164314 + 0.0142379i
\(672\) 6.80586 0.888649i 0.262542 0.0342804i
\(673\) 9.96860 11.5044i 0.384261 0.443461i −0.530360 0.847772i \(-0.677943\pi\)
0.914621 + 0.404311i \(0.132489\pi\)
\(674\) −9.51275 1.36773i −0.366417 0.0526829i
\(675\) 0.902891 + 3.07497i 0.0347523 + 0.118355i
\(676\) 6.50084 + 4.17783i 0.250032 + 0.160686i
\(677\) −3.42218 23.8018i −0.131525 0.914777i −0.943568 0.331179i \(-0.892554\pi\)
0.812043 0.583598i \(-0.198356\pi\)
\(678\) 14.2952 + 31.3021i 0.549004 + 1.20215i
\(679\) 32.6866 + 0.423740i 1.25440 + 0.0162617i
\(680\) 0.804575 + 5.59594i 0.0308541 + 0.214595i
\(681\) −0.256378 + 0.398932i −0.00982443 + 0.0152871i
\(682\) −0.493214 + 0.144821i −0.0188862 + 0.00554548i
\(683\) −1.42937 + 9.94149i −0.0546933 + 0.380401i 0.944029 + 0.329863i \(0.107003\pi\)
−0.998722 + 0.0505376i \(0.983907\pi\)
\(684\) 13.9713 16.1238i 0.534207 0.616507i
\(685\) −14.2024 22.0993i −0.542644 0.844371i
\(686\) −15.1792 10.6110i −0.579543 0.405129i
\(687\) −2.68026 + 9.12813i −0.102258 + 0.348260i
\(688\) −3.55638 1.62415i −0.135586 0.0619200i
\(689\) −27.3250 −1.04100
\(690\) 18.7228 12.7052i 0.712763 0.483679i
\(691\) 11.2148i 0.426630i −0.976984 0.213315i \(-0.931574\pi\)
0.976984 0.213315i \(-0.0684260\pi\)
\(692\) −1.72175 0.786296i −0.0654510 0.0298905i
\(693\) −1.08128 0.961753i −0.0410743 0.0365340i
\(694\) 9.40045 + 10.8487i 0.356836 + 0.411811i
\(695\) −13.1886 20.5219i −0.500272 0.778439i
\(696\) −14.5492 12.6069i −0.551485 0.477865i
\(697\) −25.9987 3.73805i −0.984772 0.141589i
\(698\) 7.47382 + 25.4535i 0.282888 + 0.963429i
\(699\) −18.2944 + 28.4667i −0.691960 + 1.07671i
\(700\) −4.27978 1.31715i −0.161760 0.0497837i
\(701\) −11.6281 + 5.31039i −0.439189 + 0.200571i −0.622723 0.782443i \(-0.713973\pi\)
0.183534 + 0.983013i \(0.441246\pi\)
\(702\) 1.80619 + 3.95500i 0.0681702 + 0.149272i
\(703\) 16.1221 2.31800i 0.608055 0.0874251i
\(704\) −0.0792799 + 0.123362i −0.00298797 + 0.00464938i
\(705\) −15.6244 + 4.58774i −0.588449 + 0.172784i
\(706\) 24.2272 + 3.48335i 0.911803 + 0.131097i
\(707\) −46.5206 + 20.5207i −1.74959 + 0.771760i
\(708\) −5.84494 + 3.75632i −0.219666 + 0.141171i
\(709\) −9.26047 + 8.02424i −0.347784 + 0.301357i −0.811182 0.584794i \(-0.801175\pi\)
0.463398 + 0.886150i \(0.346630\pi\)
\(710\) −19.7912 5.81122i −0.742751 0.218091i
\(711\) 29.2350 + 13.3512i 1.09640 + 0.500708i
\(712\) 1.67938 0.0629374
\(713\) −14.3656 8.73230i −0.537996 0.327027i
\(714\) 19.2917 + 9.11425i 0.721972 + 0.341092i
\(715\) −0.254386 + 0.557028i −0.00951350 + 0.0208317i
\(716\) −16.6669 4.89383i −0.622870 0.182891i
\(717\) 13.7186 11.8873i 0.512332 0.443938i
\(718\) −5.88889 9.16329i −0.219771 0.341971i
\(719\) 27.5014 + 23.8301i 1.02563 + 0.888713i 0.993845 0.110782i \(-0.0353354\pi\)
0.0317848 + 0.999495i \(0.489881\pi\)
\(720\) −0.965384 + 6.71439i −0.0359777 + 0.250231i
\(721\) −1.55867 + 9.92567i −0.0580481 + 0.369651i
\(722\) 11.5399 + 7.41622i 0.429469 + 0.276003i
\(723\) 75.1643 10.8070i 2.79539 0.401917i
\(724\) −8.64401 18.9277i −0.321252 0.703444i
\(725\) 5.21749 + 11.4247i 0.193773 + 0.424303i
\(726\) −28.1906 + 4.05320i −1.04625 + 0.150428i
\(727\) −19.4389 12.4926i −0.720948 0.463325i 0.128018 0.991772i \(-0.459138\pi\)
−0.848967 + 0.528446i \(0.822775\pi\)
\(728\) −6.00157 0.942455i −0.222433 0.0349297i
\(729\) −5.42949 + 37.7629i −0.201092 + 1.39863i
\(730\) −4.27825 3.70712i −0.158345 0.137207i
\(731\) −6.57078 10.2243i −0.243029 0.378161i
\(732\) 7.52987 6.52467i 0.278312 0.241159i
\(733\) 36.4402 + 10.6998i 1.34595 + 0.395206i 0.873788 0.486307i \(-0.161656\pi\)
0.472160 + 0.881513i \(0.343474\pi\)
\(734\) −12.6980 + 27.8048i −0.468693 + 1.02630i
\(735\) 25.5115 20.9730i 0.941007 0.773602i
\(736\) −4.72846 + 0.801054i −0.174293 + 0.0295272i
\(737\) 0.271464 0.00999950
\(738\) −28.6678 13.0921i −1.05528 0.481929i
\(739\) 30.1266 + 8.84597i 1.10823 + 0.325404i 0.784115 0.620615i \(-0.213117\pi\)
0.324110 + 0.946019i \(0.394935\pi\)
\(740\) −3.91384 + 3.39136i −0.143876 + 0.124669i
\(741\) −28.6634 + 18.4208i −1.05298 + 0.676706i
\(742\) −28.8068 + 12.7070i −1.05753 + 0.466488i
\(743\) 42.1384 + 6.05859i 1.54591 + 0.222268i 0.861852 0.507160i \(-0.169305\pi\)
0.684057 + 0.729428i \(0.260214\pi\)
\(744\) 8.72542 2.56202i 0.319890 0.0939280i
\(745\) 5.37020 8.35619i 0.196749 0.306147i
\(746\) −34.8329 + 5.00822i −1.27532 + 0.183364i
\(747\) 24.7470 + 54.1884i 0.905446 + 1.98265i
\(748\) −0.414653 + 0.189366i −0.0151612 + 0.00692390i
\(749\) −9.60585 + 31.2120i −0.350990 + 1.14046i
\(750\) 17.0707 26.5626i 0.623335 0.969928i
\(751\) 11.2066 + 38.1663i 0.408936 + 1.39271i 0.864557 + 0.502535i \(0.167599\pi\)
−0.455621 + 0.890174i \(0.650583\pi\)
\(752\) 3.41635 + 0.491197i 0.124582 + 0.0179121i
\(753\) −54.9864 47.6460i −2.00382 1.73632i
\(754\) 9.21235 + 14.3347i 0.335494 + 0.522039i
\(755\) 9.61239 + 11.0933i 0.349831 + 0.403726i
\(756\) 3.74334 + 3.32955i 0.136144 + 0.121095i
\(757\) −25.2666 11.5389i −0.918330 0.419387i −0.100559 0.994931i \(-0.532063\pi\)
−0.817771 + 0.575544i \(0.804790\pi\)
\(758\) 18.5238i 0.672816i
\(759\) 1.40825 + 1.15987i 0.0511164 + 0.0421006i
\(760\) −10.4026 −0.377341
\(761\) −28.8144 13.1591i −1.04452 0.477016i −0.182137 0.983273i \(-0.558302\pi\)
−0.862383 + 0.506257i \(0.831029\pi\)
\(762\) −3.07645 + 10.4774i −0.111448 + 0.379557i
\(763\) 7.50794 + 26.8526i 0.271806 + 0.972129i
\(764\) 2.46886 + 3.84163i 0.0893203 + 0.138985i
\(765\) −13.8091 + 15.9365i −0.499268 + 0.576185i
\(766\) −2.46458 + 17.1416i −0.0890490 + 0.619350i
\(767\) 5.90060 1.73257i 0.213058 0.0625596i
\(768\) 1.40253 2.18239i 0.0506096 0.0787501i
\(769\) −3.70113 25.7419i −0.133466 0.928278i −0.940988 0.338440i \(-0.890101\pi\)
0.807522 0.589838i \(-0.200808\pi\)
\(770\) −0.00914635 + 0.705534i −0.000329612 + 0.0254257i
\(771\) −8.86142 19.4038i −0.319136 0.698811i
\(772\) 3.54281 + 24.6408i 0.127509 + 0.886842i
\(773\) 15.6557 + 10.0613i 0.563098 + 0.361881i 0.791012 0.611800i \(-0.209554\pi\)