Properties

Label 322.2.k.a.111.2
Level $322$
Weight $2$
Character 322.111
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 111.2
Character \(\chi\) \(=\) 322.111
Dual form 322.2.k.a.293.2

$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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 −0.846843 0.531843i \(-0.821500\pi\)
0.424873 0.905253i \(-0.360319\pi\)
\(4\) −0.654861 + 0.755750i −0.327430 + 0.377875i
\(5\) −1.52995 0.983241i −0.684216 0.439719i 0.151809 0.988410i \(-0.451490\pi\)
−0.836025 + 0.548691i \(0.815126\pi\)
\(6\) 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 0.395204 0.918593i \(-0.370674\pi\)
−0.435423 + 0.900226i \(0.643401\pi\)
\(12\) 2.35977 + 1.07767i 0.681208 + 0.311097i
\(13\) −2.27281 0.326780i −0.630363 0.0906326i −0.180275 0.983616i \(-0.557699\pi\)
−0.450089 + 0.892984i \(0.648608\pi\)
\(14\) −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 0.453128 0.891445i \(-0.350308\pi\)
−0.946859 + 0.321650i \(0.895762\pi\)
\(18\) −3.13780 2.01654i −0.739587 0.475304i
\(19\) −3.74575 + 4.32283i −0.859334 + 0.991724i 0.140665 + 0.990057i \(0.455076\pi\)
−0.999999 + 0.00166691i \(0.999469\pi\)
\(20\) 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 0.998936 + 0.0461106i \(0.0146827\pi\)
−0.0965222 + 0.995331i \(0.530772\pi\)
\(30\) −4.66996 + 0.671438i −0.852613 + 0.122587i
\(31\) 0.987591 3.36343i 0.177377 0.604089i −0.822023 0.569454i \(-0.807155\pi\)
0.999400 0.0346354i \(-0.0110270\pi\)
\(32\) 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 0.691337 0.722533i \(-0.257022\pi\)
−0.944431 + 0.328711i \(0.893386\pi\)
\(38\) −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 −0.275446 0.961317i \(-0.588826\pi\)
0.988869 0.148791i \(-0.0475381\pi\)
\(42\) −1.84818 + 6.61012i −0.285180 + 1.01996i
\(43\) −1.10149 3.75133i −0.167975 0.572072i −0.999854 0.0171134i \(-0.994552\pi\)
0.831878 0.554958i \(-0.187266\pi\)
\(44\) 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 \(0.0809980\pi\)
−0.967799 + 0.251725i \(0.919002\pi\)
\(48\) −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 0.726987 0.686651i \(-0.240920\pi\)
0.890991 + 0.454021i \(0.150011\pi\)
\(54\) −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 −0.0324284 0.999474i \(-0.510324\pi\)
−0.312699 + 0.949852i \(0.601233\pi\)
\(60\) −2.55073 3.96902i −0.329298 0.512398i
\(61\) 3.68508 + 1.08204i 0.471826 + 0.138541i 0.508997 0.860768i \(-0.330016\pi\)
−0.0371709 + 0.999309i \(0.511835\pi\)
\(62\) 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 −0.515613 0.856822i \(-0.672436\pi\)
0.309888 + 0.950773i \(0.399708\pi\)
\(68\) 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 −0.952373 0.304934i \(-0.901366\pi\)
0.393218 0.919445i \(-0.371362\pi\)
\(72\) 3.57882 1.05084i 0.421768 0.123842i
\(73\) −2.35242 2.03838i −0.275330 0.238575i 0.506240 0.862393i \(-0.331035\pi\)
−0.781569 + 0.623818i \(0.785581\pi\)
\(74\) 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 −0.355313 0.934747i \(-0.615626\pi\)
−0.604269 + 0.796780i \(0.706535\pi\)
\(80\) −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 −0.477171 + 0.878811i \(0.658338\pi\)
−0.997618 + 0.0689784i \(0.978026\pi\)
\(84\) −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 −0.366016 0.930609i \(-0.619278\pi\)
0.195213 + 0.980761i \(0.437460\pi\)
\(90\) 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 −0.106617 0.994300i \(-0.534002\pi\)
−0.948737 + 0.316065i \(0.897638\pi\)
\(98\) 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 0.763381 + 0.645948i \(0.223538\pi\)
0.270455 + 0.962733i \(0.412826\pi\)
\(102\) −7.98228 1.14768i −0.790363 0.113637i
\(103\) −1.57755 + 3.45435i −0.155440 + 0.340367i −0.971291 0.237896i \(-0.923542\pi\)
0.815850 + 0.578263i \(0.196269\pi\)
\(104\) 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 0.601924 + 0.798554i \(0.294401\pi\)
−0.938101 + 0.346361i \(0.887417\pi\)
\(108\) −1.87427 + 0.269479i −0.180352 + 0.0259306i
\(109\) −7.96452 + 6.90130i −0.762863 + 0.661025i −0.946767 0.321920i \(-0.895672\pi\)
0.183904 + 0.982944i \(0.441126\pi\)
\(110\) −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 0.242906 0.970050i \(-0.421900\pi\)
0.892184 + 0.451672i \(0.149172\pi\)
\(114\) 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 −0.816047 0.577986i \(-0.803839\pi\)
0.971210 + 0.238226i \(0.0765660\pi\)
\(128\) −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 0.256135 0.966641i \(-0.417551\pi\)
0.518094 + 0.855324i \(0.326642\pi\)
\(132\) −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 \(-0.788333\pi\)
0.786935 0.617036i \(-0.211667\pi\)
\(138\) −12.4375 0.311229i −1.05875 0.0264936i
\(139\) 13.4134i 1.13771i −0.822438 0.568855i \(-0.807387\pi\)
0.822438 0.568855i \(-0.192613\pi\)
\(140\) −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 0.201382 0.979513i \(-0.435457\pi\)
−0.608390 + 0.793639i \(0.708184\pi\)
\(150\) −3.99387 1.82394i −0.326098 0.148924i
\(151\) −1.14863 + 7.98892i −0.0934744 + 0.650129i 0.888185 + 0.459486i \(0.151966\pi\)
−0.981659 + 0.190643i \(0.938943\pi\)
\(152\) 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 −0.999082 0.0428311i \(-0.986362\pi\)
0.184579 + 0.982818i \(0.440908\pi\)
\(158\) −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 −0.872847 0.487994i \(-0.837729\pi\)
0.202792 0.979222i \(-0.434998\pi\)
\(164\) 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 −0.467150 0.884178i \(-0.654719\pi\)
0.808696 + 0.588227i \(0.200174\pi\)
\(168\) −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 0.479789 0.877384i \(-0.340713\pi\)
−0.348887 + 0.937165i \(0.613440\pi\)
\(174\) 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 0.957350 0.288931i \(-0.0932999\pi\)
0.134876 + 0.990862i \(0.456936\pi\)
\(180\) −4.44221 + 5.12658i −0.331103 + 0.382113i
\(181\) 19.9652 5.86233i 1.48401 0.435743i 0.563382 0.826196i \(-0.309500\pi\)
0.920623 + 0.390453i \(0.127682\pi\)
\(182\) 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 −0.303890 0.952707i \(-0.598285\pi\)
−0.0231712 + 0.999732i \(0.507376\pi\)
\(192\) 0.730873 2.48912i 0.0527462 0.179637i
\(193\) −20.9423 + 13.4588i −1.50746 + 0.968787i −0.513615 + 0.858021i \(0.671694\pi\)
−0.993847 + 0.110766i \(0.964670\pi\)
\(194\) 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 −0.447552 0.894258i \(-0.647704\pi\)
0.681365 0.731944i \(-0.261387\pi\)
\(198\) 0.295707 + 0.460129i 0.0210150 + 0.0326999i
\(199\) 14.6718 + 4.30802i 1.04005 + 0.305387i 0.756792 0.653656i \(-0.226765\pi\)
0.283261 + 0.959043i \(0.408584\pi\)
\(200\) 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 0.104173 + 0.994559i \(0.466781\pi\)
−0.999261 + 0.0384282i \(0.987765\pi\)
\(212\) −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 0.174292 0.984694i \(-0.444236\pi\)
0.444653 + 0.895703i \(0.353327\pi\)
\(224\) −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 −0.275907 0.961184i \(-0.588978\pi\)
0.287548 + 0.957766i \(0.407160\pi\)
\(228\) −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 0.155236 0.987877i \(-0.450386\pi\)
0.664680 + 0.747128i \(0.268568\pi\)
\(234\) 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 −0.716997 0.697077i \(-0.754484\pi\)
0.336232 + 0.941779i \(0.390847\pi\)
\(240\) 4.66996 + 0.671438i 0.301444 + 0.0433412i
\(241\) −12.1600 + 26.6266i −0.783292 + 1.71517i −0.0883679 + 0.996088i \(0.528165\pi\)
−0.694924 + 0.719083i \(0.744562\pi\)
\(242\) 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 −0.790990 0.611829i \(-0.790434\pi\)
0.0555994 0.998453i \(-0.482293\pi\)
\(252\) 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 0.439139 0.898419i \(-0.355284\pi\)
−0.826778 + 0.562528i \(0.809829\pi\)
\(258\) −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 0.0591478 0.998249i \(-0.481162\pi\)
−0.224487 + 0.974477i \(0.572071\pi\)
\(264\) 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 −0.377812 0.925882i \(-0.623323\pi\)
−0.101657 + 0.994820i \(0.532414\pi\)
\(270\) 2.60258 2.25515i 0.158388 0.137244i
\(271\) −14.7593 + 22.9659i −0.896563 + 1.39508i 0.0219806 + 0.999758i \(0.493003\pi\)
−0.918543 + 0.395320i \(0.870634\pi\)
\(272\) −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 −0.700438 0.713713i \(-0.747012\pi\)
0.940189 + 0.340654i \(0.110648\pi\)
\(282\) 5.86354 + 6.76688i 0.349168 + 0.402962i
\(283\) −1.99165 13.8523i −0.118392 0.823431i −0.959327 0.282296i \(-0.908904\pi\)
0.840936 0.541135i \(-0.182005\pi\)
\(284\) 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 0.974247 0.225483i \(-0.0723959\pi\)
−0.361837 + 0.932241i \(0.617850\pi\)
\(294\) −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 −0.734880 0.678197i \(-0.762762\pi\)
0.984882 0.173229i \(-0.0554202\pi\)
\(308\) −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 0.610126 0.792304i \(-0.291119\pi\)
−0.199236 + 0.979952i \(0.563846\pi\)
\(312\) 0.847736 5.89613i 0.0479936 0.333803i
\(313\) 16.8700 10.8417i 0.953548 0.612808i 0.0313426 0.999509i \(-0.490022\pi\)
0.922205 + 0.386701i \(0.126385\pi\)
\(314\) −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 0.689647 0.724146i \(-0.257766\pi\)
−0.372216 + 0.928146i \(0.621402\pi\)
\(318\) 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 −0.0972805 0.995257i \(-0.531014\pi\)
0.864906 + 0.501934i \(0.167378\pi\)
\(332\) 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 −0.999785 0.0207519i \(-0.993394\pi\)
0.852292 + 0.523067i \(0.175212\pi\)
\(338\) −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 0.679337 0.733827i \(-0.262268\pi\)
−0.999460 + 0.0328544i \(0.989540\pi\)
\(348\) 5.42373 + 18.4715i 0.290742 + 0.990177i
\(349\) −20.0486 17.3722i −1.07318 0.929912i −0.0754389 0.997150i \(-0.524036\pi\)
−0.997737 + 0.0672383i \(0.978581\pi\)
\(350\) −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 −0.544511 0.838754i \(-0.683285\pi\)
0.911536 0.411220i \(-0.134897\pi\)
\(354\) −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 0.961153 0.276015i \(-0.0890139\pi\)
−0.650350 + 0.759635i \(0.725378\pi\)
\(360\) −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 −0.145739 + 0.989323i \(0.546556\pi\)
−0.839378 + 0.543549i \(0.817080\pi\)
\(374\) −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 0.798150 0.602459i \(-0.205812\pi\)
0.0673694 + 0.997728i \(0.478539\pi\)
\(380\) −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 −0.171872 0.985119i \(-0.554981\pi\)
−0.677183 + 0.735814i \(0.736800\pi\)
\(384\) 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 0.00541238 0.999985i \(-0.498277\pi\)
0.759283 + 0.650761i \(0.225550\pi\)
\(390\) 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 −0.653975 0.756516i \(-0.726900\pi\)
0.655746 + 0.754982i \(0.272354\pi\)
\(398\) 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 −0.314241 0.949343i \(-0.601750\pi\)
−0.568973 + 0.822356i \(0.692659\pi\)
\(402\) −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 −0.222445 0.974945i \(-0.571404\pi\)
0.979248 0.202664i \(-0.0649599\pi\)
\(410\) −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 0.586722 0.809789i \(-0.300418\pi\)
−0.492877 + 0.870099i \(0.664055\pi\)
\(420\) 11.4208 + 5.03784i 0.557280 + 0.245821i
\(421\) −20.1264 + 2.89374i −0.980901 + 0.141032i −0.614067 0.789254i \(-0.710467\pi\)
−0.366834 + 0.930286i \(0.619558\pi\)
\(422\) −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 −0.668744 0.743493i \(-0.733168\pi\)
0.640753 + 0.767747i \(0.278622\pi\)
\(432\) 1.02373 1.59295i 0.0492541 0.0766408i
\(433\) 14.4388 16.6632i 0.693883 0.800783i −0.294030 0.955796i \(-0.594996\pi\)
0.987912 + 0.155013i \(0.0495419\pi\)
\(434\) −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 0.0720876 0.997398i \(-0.477034\pi\)
0.800991 + 0.598677i \(0.204307\pi\)
\(440\) −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 0.934281 0.356538i \(-0.116043\pi\)
−0.485871 + 0.874031i \(0.661497\pi\)
\(444\) −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 0.572631 + 0.819814i \(0.305923\pi\)
−0.994567 + 0.104098i \(0.966804\pi\)
\(450\) −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 −0.970804 0.239873i \(-0.922894\pi\)
0.687008 0.726650i \(-0.258924\pi\)
\(458\) 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 \(-0.657517\pi\)
0.474904 0.880037i \(-0.342483\pi\)
\(462\) 0.649193 0.769131i 0.0302032 0.0357832i
\(463\) −6.89065 + 2.02328i −0.320236 + 0.0940297i −0.437900 0.899024i \(-0.644278\pi\)
0.117664 + 0.993053i \(0.462459\pi\)
\(464\) 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 0.981346 0.192251i \(-0.0615787\pi\)
−0.995758 + 0.0920137i \(0.970670\pi\)
\(468\) −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 −0.708309 0.705903i \(-0.750542\pi\)
0.799520 + 0.600639i \(0.205087\pi\)
\(480\) 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 −0.662378 0.749170i \(-0.730453\pi\)
0.835811 + 0.549018i \(0.184998\pi\)
\(488\) −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 −0.311436 0.950267i \(-0.600810\pi\)
−0.775750 + 0.631041i \(0.782628\pi\)
\(492\) 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 0.999988 0.00483891i \(-0.00154028\pi\)
−0.960845 + 0.277086i \(0.910631\pi\)
\(500\) −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 0.621915 0.783084i \(-0.286355\pi\)
0.946556 + 0.322540i \(0.104537\pi\)
\(504\) −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 −0.802368 0.596829i \(-0.796427\pi\)
0.352325 0.935878i \(-0.385391\pi\)
\(510\) 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 −0.402423 0.915454i \(-0.631832\pi\)
−0.833471 + 0.552562i \(0.813650\pi\)
\(522\) −3.93917 27.3975i −0.172413 1.19916i
\(523\) 0.211236 + 0.243779i 0.00923670 + 0.0106597i 0.760349 0.649515i \(-0.225028\pi\)
−0.751112 + 0.660174i \(0.770482\pi\)
\(524\) −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 −0.544863 0.838525i \(-0.683418\pi\)
0.990524 0.137337i \(-0.0438542\pi\)
\(542\) −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 0.359380 0.933191i \(-0.382988\pi\)
−0.699569 + 0.714565i \(0.746625\pi\)
\(548\) 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 −0.632664 0.774426i \(-0.718039\pi\)
0.967261 + 0.253783i \(0.0816750\pi\)
\(558\) −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 −0.718490 0.695537i \(-0.755166\pi\)
0.996163 + 0.0875184i \(0.0278937\pi\)
\(564\) −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 −0.972588 0.232537i \(-0.925297\pi\)
0.0917562 + 0.995782i \(0.470752\pi\)
\(570\) 14.5900 22.7024i 0.611107 0.950901i
\(571\) 16.7289 + 14.4956i 0.700081 + 0.606624i 0.930424 0.366486i \(-0.119439\pi\)
−0.230342 + 0.973110i \(0.573985\pi\)
\(572\) −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 −0.440922 0.897545i \(-0.645349\pi\)
0.389577 + 0.920994i \(0.372621\pi\)
\(578\) 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 −0.989126 0.147069i \(-0.953016\pi\)
−0.758887 0.651222i \(-0.774257\pi\)
\(588\) 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 0.309889 + 0.950773i \(0.399708\pi\)
−0.993586 + 0.113080i \(0.963928\pi\)
\(594\) 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 0.937839 0.347069i \(-0.112823\pi\)
−0.976601 + 0.215061i \(0.931005\pi\)
\(602\) −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 −0.872041 0.489433i \(-0.837204\pi\)
−0.0829450 0.996554i \(-0.526433\pi\)
\(608\) −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 0.00790810 0.999969i \(-0.497483\pi\)
0.533971 0.845503i \(-0.320699\pi\)
\(614\) 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 0.659726 0.751506i \(-0.270672\pi\)
−0.649968 + 0.759962i \(0.725218\pi\)
\(618\) 2.77551 + 9.45251i 0.111647 + 0.380236i
\(619\) 10.6305 + 23.2776i 0.427276 + 0.935604i 0.993761 + 0.111532i \(0.0355756\pi\)
−0.566485 + 0.824072i \(0.691697\pi\)
\(620\) 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 −0.182496 0.983207i \(-0.558418\pi\)
−0.452105 + 0.891965i \(0.649327\pi\)
\(632\) 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 0.902081 0.431567i \(-0.142039\pi\)
−0.992202 + 0.124644i \(0.960221\pi\)
\(642\) 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 0.819291 + 0.573378i \(0.194367\pi\)
−0.379240 + 0.925298i \(0.623814\pi\)
\(648\) 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 −0.542881 0.839810i \(-0.682666\pi\)
0.538397 + 0.842691i \(0.319030\pi\)
\(654\) −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 0.737993 + 0.674808i \(0.235774\pi\)
−0.985668 + 0.168695i \(0.946045\pi\)
\(660\) 0.0984601 + 0.684805i 0.00383255 + 0.0266560i
\(661\) −6.49448 7.49503i −0.252606 0.291523i 0.615257 0.788327i \(-0.289052\pi\)
−0.867863 + 0.496804i \(0.834507\pi\)
\(662\) 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 0.914621 0.404311i \(-0.132489\pi\)
−0.530360 + 0.847772i \(0.677943\pi\)
\(674\) −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 0.812043 + 0.583598i \(0.198356\pi\)
−0.943568 + 0.331179i \(0.892554\pi\)
\(678\) 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 −0.998722 0.0505376i \(-0.983907\pi\)
0.944029 0.329863i \(-0.107003\pi\)
\(684\) 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 \(0.0684260\pi\)
−0.976984 + 0.213315i \(0.931574\pi\)
\(692\) −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 0.183534 0.983013i \(-0.441246\pi\)
−0.622723 + 0.782443i \(0.713973\pi\)
\(702\) 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 0.463398 0.886150i \(-0.346630\pi\)
−0.811182 + 0.584794i \(0.801175\pi\)
\(710\) −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 0.0317848 0.999495i \(-0.489881\pi\)
0.993845 + 0.110782i \(0.0353354\pi\)
\(720\) −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 −0.848967 0.528446i \(-0.822775\pi\)
0.128018 + 0.991772i \(0.459138\pi\)
\(728\) −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 0.472160 0.881513i \(-0.343474\pi\)
0.873788 + 0.486307i \(0.161656\pi\)
\(734\) −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 0.324110 0.946019i \(-0.394935\pi\)
0.784115 + 0.620615i \(0.213117\pi\)
\(740\) −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 0.684057 0.729428i \(-0.260214\pi\)
0.861852 + 0.507160i \(0.169305\pi\)
\(744\) 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 −0.455621 0.890174i \(-0.650583\pi\)
0.864557 0.502535i \(-0.167599\pi\)
\(752\) 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 −0.817771 0.575544i \(-0.804790\pi\)
−0.100559 + 0.994931i \(0.532063\pi\)
\(758\) 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 −0.862383 0.506257i \(-0.831029\pi\)
−0.182137 + 0.983273i \(0.558302\pi\)
\(762\) −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 0.807522 + 0.589838i \(0.200808\pi\)
−0.940988 + 0.338440i \(0.890101\pi\)
\(770\) −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 −0.227915 0.973681i \(-0.573191\pi\)