Properties

Label 570.2.bf.a.29.38
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.38
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(1.62527 + 0.598755i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.32068 + 1.80439i) q^{5} +(1.70455 + 0.307434i) q^{6} +(-0.260757 - 0.150548i) q^{7} +(0.866025 - 0.500000i) q^{8} +(2.28299 + 1.94627i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(1.62527 + 0.598755i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.32068 + 1.80439i) q^{5} +(1.70455 + 0.307434i) q^{6} +(-0.260757 - 0.150548i) q^{7} +(0.866025 - 0.500000i) q^{8} +(2.28299 + 1.94627i) q^{9} +(1.61394 + 1.54764i) q^{10} +(-1.17946 + 0.680961i) q^{11} +(1.73204 + 0.00677128i) q^{12} +(-2.32350 - 1.94965i) q^{13} +(-0.282938 - 0.102981i) q^{14} +(1.06607 + 3.72337i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.0110966 - 0.0629319i) q^{17} +(2.58627 + 1.52027i) q^{18} +(-3.34215 - 2.79822i) q^{19} +(1.85817 + 1.24387i) q^{20} +(-0.333658 - 0.400810i) q^{21} +(-1.04329 + 0.875426i) q^{22} +(-0.311004 + 0.113196i) q^{23} +(1.70690 - 0.294097i) q^{24} +(-1.51163 + 4.76602i) q^{25} +(-2.62675 - 1.51656i) q^{26} +(2.54512 + 4.53016i) q^{27} +(-0.296522 - 0.0522848i) q^{28} +(1.30430 - 7.39707i) q^{29} +(1.69643 + 3.48169i) q^{30} +(-2.02006 - 1.16628i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-2.32466 + 0.400537i) q^{33} +(-0.0218560 - 0.0600489i) q^{34} +(-0.0727285 - 0.669332i) q^{35} +(2.81097 + 1.04807i) q^{36} +3.24655 q^{37} +(-3.77728 - 2.17535i) q^{38} +(-2.60894 - 4.55990i) q^{39} +(2.04593 + 0.902307i) q^{40} +(4.00006 - 3.35645i) q^{41} +(-0.398189 - 0.336782i) q^{42} +(-1.86872 + 5.13426i) q^{43} +(-0.875426 + 1.04329i) q^{44} +(-0.496744 + 6.68979i) q^{45} +(-0.286623 + 0.165482i) q^{46} +(0.167421 - 0.949491i) q^{47} +(1.62990 - 0.586029i) q^{48} +(-3.45467 - 5.98366i) q^{49} +(-0.661051 + 4.95611i) q^{50} +(0.0196458 - 0.108925i) q^{51} +(-2.85019 - 1.03738i) q^{52} +(2.00009 + 5.49519i) q^{53} +(3.29311 + 4.01938i) q^{54} +(-2.78640 - 1.22887i) q^{55} -0.301096 q^{56} +(-3.75645 - 6.54898i) q^{57} -7.51118i q^{58} +(-1.12932 - 6.40472i) q^{59} +(2.27524 + 3.13421i) q^{60} +(2.91313 - 1.06029i) q^{61} +(-2.19190 - 0.797785i) q^{62} +(-0.302297 - 0.851203i) q^{63} +(0.500000 - 0.866025i) q^{64} +(0.449328 - 6.76734i) q^{65} +(-2.21979 + 0.798125i) q^{66} +(-1.99315 + 11.3037i) q^{67} +(-0.0319514 - 0.0553414i) q^{68} +(-0.573242 - 0.00224105i) q^{69} +(-0.187852 - 0.646534i) q^{70} +(7.92785 + 2.88550i) q^{71} +(2.95026 + 0.544028i) q^{72} +(-6.48523 - 7.72880i) q^{73} +(3.19723 - 0.563758i) q^{74} +(-5.31048 + 6.84097i) q^{75} +(-4.09764 - 1.48638i) q^{76} +0.410069 q^{77} +(-3.36113 - 4.03759i) q^{78} +(-9.29589 - 11.0784i) q^{79} +(2.17153 + 0.533326i) q^{80} +(1.42405 + 8.88662i) q^{81} +(3.35645 - 4.00006i) q^{82} +(-0.598913 + 1.03735i) q^{83} +(-0.450621 - 0.262521i) q^{84} +(0.0988985 - 0.103135i) q^{85} +(-0.948773 + 5.38076i) q^{86} +(6.54887 - 11.2413i) q^{87} +(-0.680961 + 1.17946i) q^{88} +(10.2819 + 8.62750i) q^{89} +(0.672472 + 6.67441i) q^{90} +(0.312353 + 0.858182i) q^{91} +(-0.253533 + 0.212740i) q^{92} +(-2.58482 - 3.10504i) q^{93} -0.964139i q^{94} +(0.635161 - 9.72608i) q^{95} +(1.50337 - 0.860155i) q^{96} +(-1.21710 - 6.90250i) q^{97} +(-4.44124 - 5.29286i) q^{98} +(-4.01802 - 0.740924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) 1.62527 + 0.598755i 0.938348 + 0.345691i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 1.32068 + 1.80439i 0.590624 + 0.806947i
\(6\) 1.70455 + 0.307434i 0.695879 + 0.125509i
\(7\) −0.260757 0.150548i −0.0985569 0.0569018i 0.449911 0.893073i \(-0.351456\pi\)
−0.548468 + 0.836171i \(0.684789\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 2.28299 + 1.94627i 0.760995 + 0.648757i
\(10\) 1.61394 + 1.54764i 0.510373 + 0.489407i
\(11\) −1.17946 + 0.680961i −0.355620 + 0.205317i −0.667158 0.744916i \(-0.732489\pi\)
0.311538 + 0.950234i \(0.399156\pi\)
\(12\) 1.73204 + 0.00677128i 0.499996 + 0.00195470i
\(13\) −2.32350 1.94965i −0.644422 0.540734i 0.260951 0.965352i \(-0.415964\pi\)
−0.905373 + 0.424618i \(0.860409\pi\)
\(14\) −0.282938 0.102981i −0.0756183 0.0275228i
\(15\) 1.06607 + 3.72337i 0.275257 + 0.961371i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.0110966 0.0629319i −0.00269132 0.0152632i 0.983433 0.181275i \(-0.0580223\pi\)
−0.986124 + 0.166011i \(0.946911\pi\)
\(18\) 2.58627 + 1.52027i 0.609589 + 0.358331i
\(19\) −3.34215 2.79822i −0.766743 0.641955i
\(20\) 1.85817 + 1.24387i 0.415499 + 0.278138i
\(21\) −0.333658 0.400810i −0.0728102 0.0874640i
\(22\) −1.04329 + 0.875426i −0.222431 + 0.186642i
\(23\) −0.311004 + 0.113196i −0.0648489 + 0.0236031i −0.374241 0.927332i \(-0.622097\pi\)
0.309392 + 0.950935i \(0.399874\pi\)
\(24\) 1.70690 0.294097i 0.348419 0.0600322i
\(25\) −1.51163 + 4.76602i −0.302325 + 0.953205i
\(26\) −2.62675 1.51656i −0.515148 0.297421i
\(27\) 2.54512 + 4.53016i 0.489809 + 0.871830i
\(28\) −0.296522 0.0522848i −0.0560374 0.00988090i
\(29\) 1.30430 7.39707i 0.242203 1.37360i −0.584697 0.811252i \(-0.698787\pi\)
0.826900 0.562349i \(-0.190102\pi\)
\(30\) 1.69643 + 3.48169i 0.309724 + 0.635666i
\(31\) −2.02006 1.16628i −0.362814 0.209471i 0.307501 0.951548i \(-0.400507\pi\)
−0.670314 + 0.742077i \(0.733841\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −2.32466 + 0.400537i −0.404672 + 0.0697245i
\(34\) −0.0218560 0.0600489i −0.00374828 0.0102983i
\(35\) −0.0727285 0.669332i −0.0122934 0.113138i
\(36\) 2.81097 + 1.04807i 0.468495 + 0.174678i
\(37\) 3.24655 0.533730 0.266865 0.963734i \(-0.414012\pi\)
0.266865 + 0.963734i \(0.414012\pi\)
\(38\) −3.77728 2.17535i −0.612756 0.352888i
\(39\) −2.60894 4.55990i −0.417765 0.730168i
\(40\) 2.04593 + 0.902307i 0.323490 + 0.142667i
\(41\) 4.00006 3.35645i 0.624704 0.524189i −0.274574 0.961566i \(-0.588537\pi\)
0.899278 + 0.437377i \(0.144093\pi\)
\(42\) −0.398189 0.336782i −0.0614419 0.0519666i
\(43\) −1.86872 + 5.13426i −0.284977 + 0.782967i 0.711773 + 0.702409i \(0.247892\pi\)
−0.996750 + 0.0805579i \(0.974330\pi\)
\(44\) −0.875426 + 1.04329i −0.131975 + 0.157282i
\(45\) −0.496744 + 6.68979i −0.0740502 + 0.997255i
\(46\) −0.286623 + 0.165482i −0.0422603 + 0.0243990i
\(47\) 0.167421 0.949491i 0.0244209 0.138498i −0.970160 0.242467i \(-0.922043\pi\)
0.994580 + 0.103970i \(0.0331545\pi\)
\(48\) 1.62990 0.586029i 0.235256 0.0845860i
\(49\) −3.45467 5.98366i −0.493524 0.854809i
\(50\) −0.661051 + 4.95611i −0.0934867 + 0.700900i
\(51\) 0.0196458 0.108925i 0.00275097 0.0152526i
\(52\) −2.85019 1.03738i −0.395250 0.143859i
\(53\) 2.00009 + 5.49519i 0.274733 + 0.754823i 0.997938 + 0.0641892i \(0.0204461\pi\)
−0.723205 + 0.690634i \(0.757332\pi\)
\(54\) 3.29311 + 4.01938i 0.448135 + 0.546969i
\(55\) −2.78640 1.22887i −0.375718 0.165701i
\(56\) −0.301096 −0.0402357
\(57\) −3.75645 6.54898i −0.497554 0.867433i
\(58\) 7.51118i 0.986266i
\(59\) −1.12932 6.40472i −0.147026 0.833824i −0.965718 0.259592i \(-0.916412\pi\)
0.818693 0.574232i \(-0.194699\pi\)
\(60\) 2.27524 + 3.13421i 0.293733 + 0.404625i
\(61\) 2.91313 1.06029i 0.372988 0.135757i −0.148723 0.988879i \(-0.547516\pi\)
0.521711 + 0.853122i \(0.325294\pi\)
\(62\) −2.19190 0.797785i −0.278371 0.101319i
\(63\) −0.302297 0.851203i −0.0380858 0.107242i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 0.449328 6.76734i 0.0557323 0.839385i
\(66\) −2.21979 + 0.798125i −0.273238 + 0.0982424i
\(67\) −1.99315 + 11.3037i −0.243502 + 1.38097i 0.580444 + 0.814300i \(0.302879\pi\)
−0.823946 + 0.566668i \(0.808232\pi\)
\(68\) −0.0319514 0.0553414i −0.00387467 0.00671113i
\(69\) −0.573242 0.00224105i −0.0690102 0.000269791i
\(70\) −0.187852 0.646534i −0.0224526 0.0772756i
\(71\) 7.92785 + 2.88550i 0.940862 + 0.342446i 0.766506 0.642237i \(-0.221993\pi\)
0.174356 + 0.984683i \(0.444216\pi\)
\(72\) 2.95026 + 0.544028i 0.347691 + 0.0641144i
\(73\) −6.48523 7.72880i −0.759039 0.904587i 0.238748 0.971082i \(-0.423263\pi\)
−0.997787 + 0.0664943i \(0.978819\pi\)
\(74\) 3.19723 0.563758i 0.371671 0.0655355i
\(75\) −5.31048 + 6.84097i −0.613201 + 0.789927i
\(76\) −4.09764 1.48638i −0.470032 0.170499i
\(77\) 0.410069 0.0467317
\(78\) −3.36113 4.03759i −0.380573 0.457167i
\(79\) −9.29589 11.0784i −1.04587 1.24642i −0.968394 0.249425i \(-0.919758\pi\)
−0.0774757 0.996994i \(-0.524686\pi\)
\(80\) 2.17153 + 0.533326i 0.242785 + 0.0596277i
\(81\) 1.42405 + 8.88662i 0.158228 + 0.987403i
\(82\) 3.35645 4.00006i 0.370657 0.441732i
\(83\) −0.598913 + 1.03735i −0.0657393 + 0.113864i −0.897022 0.441987i \(-0.854274\pi\)
0.831282 + 0.555850i \(0.187607\pi\)
\(84\) −0.450621 0.262521i −0.0491668 0.0286433i
\(85\) 0.0988985 0.103135i 0.0107271 0.0111866i
\(86\) −0.948773 + 5.38076i −0.102309 + 0.580222i
\(87\) 6.54887 11.2413i 0.702112 1.20519i
\(88\) −0.680961 + 1.17946i −0.0725907 + 0.125731i
\(89\) 10.2819 + 8.62750i 1.08987 + 0.914513i 0.996703 0.0811366i \(-0.0258550\pi\)
0.0931717 + 0.995650i \(0.470299\pi\)
\(90\) 0.672472 + 6.67441i 0.0708848 + 0.703545i
\(91\) 0.312353 + 0.858182i 0.0327435 + 0.0899619i
\(92\) −0.253533 + 0.212740i −0.0264326 + 0.0221796i
\(93\) −2.58482 3.10504i −0.268034 0.321978i
\(94\) 0.964139i 0.0994433i
\(95\) 0.635161 9.72608i 0.0651661 0.997874i
\(96\) 1.50337 0.860155i 0.153437 0.0877892i
\(97\) −1.21710 6.90250i −0.123577 0.700842i −0.982143 0.188138i \(-0.939755\pi\)
0.858565 0.512704i \(-0.171356\pi\)
\(98\) −4.44124 5.29286i −0.448633 0.534660i
\(99\) −4.01802 0.740924i −0.403826 0.0744657i
\(100\) 0.209611 + 4.99560i 0.0209611 + 0.499560i
\(101\) −8.36352 + 9.96725i −0.832201 + 0.991779i 0.167781 + 0.985824i \(0.446340\pi\)
−0.999982 + 0.00595439i \(0.998105\pi\)
\(102\) 0.000432703 0.110682i 4.28440e−5 0.0109591i
\(103\) 7.33114 + 12.6979i 0.722359 + 1.25116i 0.960052 + 0.279822i \(0.0902753\pi\)
−0.237693 + 0.971340i \(0.576391\pi\)
\(104\) −2.98703 0.526694i −0.292902 0.0516466i
\(105\) 0.282562 1.13139i 0.0275753 0.110412i
\(106\) 2.92393 + 5.06440i 0.283997 + 0.491898i
\(107\) −8.05254 4.64914i −0.778468 0.449449i 0.0574188 0.998350i \(-0.481713\pi\)
−0.835887 + 0.548901i \(0.815046\pi\)
\(108\) 3.94104 + 3.38648i 0.379227 + 0.325864i
\(109\) 4.18068 11.4863i 0.400437 1.10019i −0.561632 0.827387i \(-0.689826\pi\)
0.962069 0.272805i \(-0.0879513\pi\)
\(110\) −2.95746 0.726349i −0.281983 0.0692546i
\(111\) 5.27652 + 1.94389i 0.500825 + 0.184506i
\(112\) −0.296522 + 0.0522848i −0.0280187 + 0.00494045i
\(113\) 10.9590i 1.03094i 0.856907 + 0.515470i \(0.172383\pi\)
−0.856907 + 0.515470i \(0.827617\pi\)
\(114\) −4.83660 5.79718i −0.452989 0.542956i
\(115\) −0.614986 0.411677i −0.0573478 0.0383890i
\(116\) −1.30430 7.39707i −0.121101 0.686800i
\(117\) −1.50997 8.97317i −0.139597 0.829570i
\(118\) −2.22434 6.11131i −0.204767 0.562592i
\(119\) −0.00658077 + 0.0180805i −0.000603258 + 0.00165744i
\(120\) 2.78493 + 2.69150i 0.254228 + 0.245699i
\(121\) −4.57258 + 7.91995i −0.415690 + 0.719995i
\(122\) 2.68475 1.55004i 0.243066 0.140334i
\(123\) 8.51085 3.06007i 0.767397 0.275917i
\(124\) −2.29713 0.405046i −0.206288 0.0363742i
\(125\) −10.5961 + 3.56681i −0.947746 + 0.319026i
\(126\) −0.445514 0.785778i −0.0396896 0.0700027i
\(127\) −7.76577 6.51626i −0.689101 0.578224i 0.229549 0.973297i \(-0.426275\pi\)
−0.918650 + 0.395073i \(0.870719\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −6.11133 + 7.22564i −0.538072 + 0.636182i
\(130\) −0.732635 6.74255i −0.0642563 0.591361i
\(131\) −9.56494 + 1.68656i −0.835692 + 0.147355i −0.575089 0.818091i \(-0.695033\pi\)
−0.260603 + 0.965446i \(0.583921\pi\)
\(132\) −2.04748 + 1.17146i −0.178210 + 0.101963i
\(133\) 0.450224 + 1.23281i 0.0390394 + 0.106898i
\(134\) 11.4781i 0.991556i
\(135\) −4.81288 + 10.5753i −0.414227 + 0.910174i
\(136\) −0.0410759 0.0489523i −0.00352223 0.00419763i
\(137\) −8.94292 + 3.25496i −0.764045 + 0.278090i −0.694503 0.719489i \(-0.744376\pi\)
−0.0695416 + 0.997579i \(0.522154\pi\)
\(138\) −0.564922 + 0.0973354i −0.0480894 + 0.00828574i
\(139\) −9.86691 8.27932i −0.836901 0.702243i 0.119964 0.992778i \(-0.461722\pi\)
−0.956864 + 0.290535i \(0.906167\pi\)
\(140\) −0.297267 0.604092i −0.0251237 0.0510551i
\(141\) 0.840616 1.44293i 0.0707926 0.121517i
\(142\) 8.30847 + 1.46501i 0.697231 + 0.122941i
\(143\) 4.06810 + 0.717316i 0.340192 + 0.0599850i
\(144\) 2.99991 + 0.0234562i 0.249992 + 0.00195468i
\(145\) 15.0697 7.41567i 1.25147 0.615838i
\(146\) −7.72880 6.48523i −0.639640 0.536722i
\(147\) −2.03201 11.7936i −0.167598 0.972716i
\(148\) 3.05076 1.11039i 0.250771 0.0912732i
\(149\) 10.4460 + 12.4490i 0.855768 + 1.01986i 0.999542 + 0.0302536i \(0.00963149\pi\)
−0.143775 + 0.989610i \(0.545924\pi\)
\(150\) −4.04188 + 7.65919i −0.330018 + 0.625370i
\(151\) 12.1073i 0.985276i 0.870234 + 0.492638i \(0.163967\pi\)
−0.870234 + 0.492638i \(0.836033\pi\)
\(152\) −4.29350 0.752249i −0.348249 0.0610154i
\(153\) 0.0971493 0.165270i 0.00785405 0.0133613i
\(154\) 0.403840 0.0712078i 0.0325423 0.00573809i
\(155\) −0.563421 5.18526i −0.0452551 0.416490i
\(156\) −4.01118 3.39259i −0.321152 0.271625i
\(157\) 5.19992 14.2867i 0.414998 1.14020i −0.539501 0.841985i \(-0.681387\pi\)
0.954499 0.298214i \(-0.0963908\pi\)
\(158\) −11.0784 9.29589i −0.881351 0.739542i
\(159\) −0.0395975 + 10.1287i −0.00314029 + 0.803260i
\(160\) 2.23116 + 0.148141i 0.176388 + 0.0117116i
\(161\) 0.0981380 + 0.0173044i 0.00773436 + 0.00136378i
\(162\) 2.94556 + 8.50433i 0.231425 + 0.668164i
\(163\) 1.45342 0.839134i 0.113841 0.0657260i −0.441998 0.897016i \(-0.645730\pi\)
0.555839 + 0.831290i \(0.312397\pi\)
\(164\) 2.61085 4.52213i 0.203873 0.353119i
\(165\) −3.79285 3.66561i −0.295273 0.285368i
\(166\) −0.409681 + 1.12559i −0.0317974 + 0.0873626i
\(167\) 4.56974 + 12.5552i 0.353617 + 0.971554i 0.981198 + 0.193003i \(0.0618227\pi\)
−0.627581 + 0.778551i \(0.715955\pi\)
\(168\) −0.489362 0.180283i −0.0377551 0.0139091i
\(169\) −0.659905 3.74251i −0.0507619 0.287885i
\(170\) 0.0794868 0.118742i 0.00609636 0.00910709i
\(171\) −2.18400 12.8930i −0.167015 0.985954i
\(172\) 5.46377i 0.416608i
\(173\) 9.25645 1.63216i 0.703755 0.124091i 0.189692 0.981844i \(-0.439251\pi\)
0.514063 + 0.857753i \(0.328140\pi\)
\(174\) 4.49735 12.2077i 0.340943 0.925461i
\(175\) 1.11168 1.01520i 0.0840353 0.0767420i
\(176\) −0.465805 + 1.27979i −0.0351113 + 0.0964676i
\(177\) 1.99940 11.0856i 0.150284 0.833242i
\(178\) 11.6238 + 6.71101i 0.871241 + 0.503011i
\(179\) −9.62052 16.6632i −0.719072 1.24547i −0.961368 0.275266i \(-0.911234\pi\)
0.242296 0.970202i \(-0.422099\pi\)
\(180\) 1.82126 + 6.45624i 0.135748 + 0.481220i
\(181\) 15.2585 + 2.69048i 1.13415 + 0.199982i 0.709047 0.705161i \(-0.249125\pi\)
0.425107 + 0.905143i \(0.360237\pi\)
\(182\) 0.456629 + 0.790905i 0.0338476 + 0.0586258i
\(183\) 5.36947 + 0.0209916i 0.396922 + 0.00155174i
\(184\) −0.212740 + 0.253533i −0.0156834 + 0.0186907i
\(185\) 4.28765 + 5.85804i 0.315234 + 0.430692i
\(186\) −3.08474 2.60902i −0.226184 0.191303i
\(187\) 0.0559421 + 0.0666693i 0.00409089 + 0.00487534i
\(188\) −0.167421 0.949491i −0.0122104 0.0692488i
\(189\) 0.0183489 1.56443i 0.00133468 0.113796i
\(190\) −1.06340 9.68861i −0.0771475 0.702886i
\(191\) 4.36267i 0.315672i −0.987465 0.157836i \(-0.949548\pi\)
0.987465 0.157836i \(-0.0504517\pi\)
\(192\) 1.33117 1.10815i 0.0960689 0.0799735i
\(193\) −14.4475 + 12.1229i −1.03995 + 0.872624i −0.992002 0.126226i \(-0.959714\pi\)
−0.0479511 + 0.998850i \(0.515269\pi\)
\(194\) −2.39721 6.58629i −0.172110 0.472868i
\(195\) 4.78225 10.7297i 0.342464 0.768370i
\(196\) −5.29286 4.44124i −0.378062 0.317231i
\(197\) −9.22534 + 15.9787i −0.657278 + 1.13844i 0.324040 + 0.946044i \(0.394959\pi\)
−0.981318 + 0.192395i \(0.938374\pi\)
\(198\) −4.08564 0.0319455i −0.290354 0.00227027i
\(199\) 0.786466 4.46027i 0.0557511 0.316180i −0.944160 0.329486i \(-0.893124\pi\)
0.999911 + 0.0133061i \(0.00423558\pi\)
\(200\) 1.07390 + 4.88331i 0.0759365 + 0.345302i
\(201\) −10.0076 + 17.1781i −0.705878 + 1.21165i
\(202\) −6.50566 + 11.2681i −0.457737 + 0.792823i
\(203\) −1.45372 + 1.73248i −0.102031 + 0.121596i
\(204\) −0.0187936 0.109076i −0.00131581 0.00763682i
\(205\) 11.3391 + 2.78487i 0.791958 + 0.194504i
\(206\) 9.42473 + 11.2320i 0.656652 + 0.782567i
\(207\) −0.930329 0.346874i −0.0646624 0.0241094i
\(208\) −3.03311 −0.210308
\(209\) 5.84741 + 1.02450i 0.404474 + 0.0708664i
\(210\) 0.0818059 1.16327i 0.00564514 0.0802731i
\(211\) −10.8988 + 1.92176i −0.750306 + 0.132299i −0.535708 0.844403i \(-0.679955\pi\)
−0.214598 + 0.976702i \(0.568844\pi\)
\(212\) 3.75893 + 4.47972i 0.258165 + 0.307669i
\(213\) 11.1572 + 9.43654i 0.764476 + 0.646581i
\(214\) −8.73752 3.18020i −0.597284 0.217394i
\(215\) −11.7322 + 3.40881i −0.800127 + 0.232479i
\(216\) 4.46922 + 2.65067i 0.304092 + 0.180355i
\(217\) 0.351163 + 0.608233i 0.0238385 + 0.0412895i
\(218\) 2.12259 12.0378i 0.143760 0.815303i
\(219\) −5.91258 16.4444i −0.399535 1.11121i
\(220\) −3.03866 0.201756i −0.204866 0.0136024i
\(221\) −0.0969120 + 0.167857i −0.00651901 + 0.0112913i
\(222\) 5.53391 + 0.998099i 0.371411 + 0.0669881i
\(223\) −11.4237 4.15790i −0.764990 0.278433i −0.0700905 0.997541i \(-0.522329\pi\)
−0.694899 + 0.719107i \(0.744551\pi\)
\(224\) −0.282938 + 0.102981i −0.0189046 + 0.00688071i
\(225\) −12.7270 + 7.93873i −0.848467 + 0.529248i
\(226\) 1.90302 + 10.7926i 0.126587 + 0.717910i
\(227\) 24.7503i 1.64274i 0.570399 + 0.821368i \(0.306789\pi\)
−0.570399 + 0.821368i \(0.693211\pi\)
\(228\) −5.76979 4.86924i −0.382114 0.322474i
\(229\) 5.31192 0.351021 0.175511 0.984478i \(-0.443842\pi\)
0.175511 + 0.984478i \(0.443842\pi\)
\(230\) −0.677130 0.298631i −0.0446486 0.0196911i
\(231\) 0.666472 + 0.245531i 0.0438507 + 0.0161548i
\(232\) −2.56897 7.05820i −0.168661 0.463394i
\(233\) 13.5006 + 4.91382i 0.884455 + 0.321915i 0.744006 0.668173i \(-0.232923\pi\)
0.140449 + 0.990088i \(0.455145\pi\)
\(234\) −3.04520 8.57465i −0.199071 0.560542i
\(235\) 1.93436 0.951879i 0.126184 0.0620937i
\(236\) −3.25176 5.63222i −0.211672 0.366626i
\(237\) −8.47506 23.5713i −0.550514 1.53112i
\(238\) −0.00334114 + 0.0189486i −0.000216574 + 0.00122825i
\(239\) 8.88918 5.13217i 0.574993 0.331973i −0.184148 0.982899i \(-0.558953\pi\)
0.759141 + 0.650926i \(0.225619\pi\)
\(240\) 3.20999 + 2.16701i 0.207204 + 0.139880i
\(241\) −3.59890 + 4.28901i −0.231826 + 0.276279i −0.869399 0.494110i \(-0.835494\pi\)
0.637573 + 0.770390i \(0.279938\pi\)
\(242\) −3.12783 + 8.59365i −0.201065 + 0.552421i
\(243\) −3.00645 + 15.2958i −0.192864 + 0.981226i
\(244\) 2.37480 1.99270i 0.152031 0.127569i
\(245\) 6.23435 14.1360i 0.398298 0.903119i
\(246\) 7.85017 4.49147i 0.500509 0.286366i
\(247\) 2.30996 + 13.0177i 0.146979 + 0.828294i
\(248\) −2.33257 −0.148118
\(249\) −1.59451 + 1.32737i −0.101048 + 0.0841184i
\(250\) −9.81577 + 5.35262i −0.620804 + 0.338530i
\(251\) 1.76923 + 4.86093i 0.111673 + 0.306819i 0.982922 0.184022i \(-0.0589118\pi\)
−0.871249 + 0.490841i \(0.836690\pi\)
\(252\) −0.575195 0.696478i −0.0362339 0.0438740i
\(253\) 0.289735 0.345292i 0.0182155 0.0217083i
\(254\) −8.77933 5.06875i −0.550864 0.318041i
\(255\) 0.222489 0.108406i 0.0139328 0.00678867i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 28.2371 + 4.97896i 1.76138 + 0.310579i 0.958401 0.285425i \(-0.0921349\pi\)
0.802981 + 0.596005i \(0.203246\pi\)
\(258\) −4.76376 + 8.17709i −0.296579 + 0.509083i
\(259\) −0.846561 0.488762i −0.0526028 0.0303702i
\(260\) −1.89234 6.51290i −0.117358 0.403913i
\(261\) 17.3744 14.3489i 1.07545 0.888173i
\(262\) −9.12676 + 3.32187i −0.563853 + 0.205226i
\(263\) −1.57055 + 1.31785i −0.0968442 + 0.0812619i −0.689924 0.723882i \(-0.742356\pi\)
0.593080 + 0.805143i \(0.297912\pi\)
\(264\) −1.81295 + 1.50921i −0.111579 + 0.0928853i
\(265\) −7.27399 + 10.8663i −0.446838 + 0.667512i
\(266\) 0.657459 + 1.13590i 0.0403114 + 0.0696465i
\(267\) 11.5450 + 20.1783i 0.706543 + 1.23489i
\(268\) 1.99315 + 11.3037i 0.121751 + 0.690484i
\(269\) 12.2049 10.2411i 0.744144 0.624411i −0.189803 0.981822i \(-0.560785\pi\)
0.933947 + 0.357411i \(0.116340\pi\)
\(270\) −2.90339 + 11.2503i −0.176695 + 0.684674i
\(271\) 16.9517 + 6.16992i 1.02974 + 0.374796i 0.800983 0.598687i \(-0.204310\pi\)
0.228761 + 0.973483i \(0.426533\pi\)
\(272\) −0.0489523 0.0410759i −0.00296817 0.00249059i
\(273\) −0.00618392 + 1.58180i −0.000374268 + 0.0957347i
\(274\) −8.24184 + 4.75843i −0.497908 + 0.287467i
\(275\) −1.46257 6.65069i −0.0881965 0.401052i
\(276\) −0.539438 + 0.193954i −0.0324703 + 0.0116747i
\(277\) 0.895389 0.516953i 0.0537987 0.0310607i −0.472859 0.881138i \(-0.656778\pi\)
0.526658 + 0.850077i \(0.323445\pi\)
\(278\) −11.1547 6.44017i −0.669015 0.386256i
\(279\) −2.34187 6.59420i −0.140204 0.394784i
\(280\) −0.397651 0.543294i −0.0237642 0.0324680i
\(281\) 14.7019 5.35105i 0.877042 0.319217i 0.136027 0.990705i \(-0.456567\pi\)
0.741015 + 0.671488i \(0.234345\pi\)
\(282\) 0.577283 1.56698i 0.0343767 0.0933125i
\(283\) 7.62181 1.34393i 0.453070 0.0798884i 0.0575432 0.998343i \(-0.481673\pi\)
0.395526 + 0.918455i \(0.370562\pi\)
\(284\) 8.43664 0.500622
\(285\) 6.85584 15.4272i 0.406105 0.913826i
\(286\) 4.13086 0.244263
\(287\) −1.54835 + 0.273016i −0.0913961 + 0.0161156i
\(288\) 2.95841 0.497829i 0.174326 0.0293348i
\(289\) 15.9709 5.81295i 0.939467 0.341938i
\(290\) 13.5531 9.91984i 0.795864 0.582513i
\(291\) 2.15480 11.9471i 0.126316 0.700354i
\(292\) −8.73753 5.04461i −0.511325 0.295214i
\(293\) 26.7166 15.4248i 1.56080 0.901128i 0.563622 0.826033i \(-0.309407\pi\)
0.997176 0.0750949i \(-0.0239260\pi\)
\(294\) −4.04907 11.2615i −0.236147 0.656786i
\(295\) 10.0651 10.4963i 0.586014 0.611118i
\(296\) 2.81160 1.62328i 0.163421 0.0943510i
\(297\) −6.08673 3.61001i −0.353188 0.209474i
\(298\) 12.4490 + 10.4460i 0.721153 + 0.605119i
\(299\) 0.943311 + 0.343337i 0.0545531 + 0.0198557i
\(300\) −2.65047 + 8.24470i −0.153025 + 0.476008i
\(301\) 1.26023 1.05746i 0.0726387 0.0609511i
\(302\) 2.10241 + 11.9233i 0.120980 + 0.686111i
\(303\) −19.5609 + 11.1918i −1.12374 + 0.642949i
\(304\) −4.35890 + 0.00473766i −0.250000 + 0.000271724i
\(305\) 5.76048 + 3.85611i 0.329844 + 0.220800i
\(306\) 0.0669746 0.179629i 0.00382868 0.0102687i
\(307\) −5.35862 + 4.49641i −0.305832 + 0.256624i −0.782767 0.622315i \(-0.786192\pi\)
0.476935 + 0.878939i \(0.341748\pi\)
\(308\) 0.385339 0.140252i 0.0219567 0.00799160i
\(309\) 4.31213 + 25.0270i 0.245308 + 1.42374i
\(310\) −1.45527 5.00864i −0.0826539 0.284472i
\(311\) 8.39956 + 4.84949i 0.476295 + 0.274989i 0.718871 0.695143i \(-0.244659\pi\)
−0.242576 + 0.970132i \(0.577992\pi\)
\(312\) −4.53936 2.64452i −0.256991 0.149716i
\(313\) 19.4845 + 3.43564i 1.10133 + 0.194194i 0.694629 0.719368i \(-0.255568\pi\)
0.406700 + 0.913562i \(0.366680\pi\)
\(314\) 2.64007 14.9726i 0.148988 0.844950i
\(315\) 1.13666 1.66962i 0.0640438 0.0940727i
\(316\) −12.5243 7.23092i −0.704548 0.406771i
\(317\) −7.42447 + 8.84814i −0.417000 + 0.496961i −0.933125 0.359552i \(-0.882929\pi\)
0.516125 + 0.856513i \(0.327374\pi\)
\(318\) 1.71984 + 9.98172i 0.0964437 + 0.559747i
\(319\) 3.49874 + 9.61271i 0.195892 + 0.538209i
\(320\) 2.22298 0.241546i 0.124269 0.0135028i
\(321\) −10.3038 12.3776i −0.575104 0.690849i
\(322\) 0.0996520 0.00555339
\(323\) −0.139011 + 0.241379i −0.00773475 + 0.0134307i
\(324\) 4.37757 + 7.86364i 0.243198 + 0.436869i
\(325\) 12.8043 8.12671i 0.710256 0.450789i
\(326\) 1.28563 1.07877i 0.0712043 0.0597475i
\(327\) 13.6722 16.1652i 0.756076 0.893935i
\(328\) 1.78593 4.90679i 0.0986113 0.270932i
\(329\) −0.186600 + 0.222382i −0.0102876 + 0.0122603i
\(330\) −4.37176 2.95130i −0.240657 0.162464i
\(331\) −19.1300 + 11.0447i −1.05148 + 0.607072i −0.923063 0.384648i \(-0.874323\pi\)
−0.128416 + 0.991720i \(0.540989\pi\)
\(332\) −0.208000 + 1.17963i −0.0114155 + 0.0647405i
\(333\) 7.41183 + 6.31868i 0.406166 + 0.346261i
\(334\) 6.68051 + 11.5710i 0.365541 + 0.633136i
\(335\) −23.0286 + 11.3321i −1.25819 + 0.619141i
\(336\) −0.513233 0.0925671i −0.0279992 0.00504995i
\(337\) 3.75445 + 1.36651i 0.204518 + 0.0744385i 0.442248 0.896893i \(-0.354181\pi\)
−0.237730 + 0.971331i \(0.576403\pi\)
\(338\) −1.29976 3.57106i −0.0706976 0.194240i
\(339\) −6.56178 + 17.8114i −0.356387 + 0.967381i
\(340\) 0.0576599 0.130741i 0.00312705 0.00709041i
\(341\) 3.17677 0.172032
\(342\) −4.38967 12.3179i −0.237366 0.666076i
\(343\) 4.18805i 0.226133i
\(344\) 0.948773 + 5.38076i 0.0511544 + 0.290111i
\(345\) −0.753023 1.03731i −0.0405414 0.0558469i
\(346\) 8.83241 3.21473i 0.474833 0.172825i
\(347\) 13.1531 + 4.78733i 0.706095 + 0.256997i 0.670011 0.742351i \(-0.266289\pi\)
0.0360839 + 0.999349i \(0.488512\pi\)
\(348\) 2.30919 12.8032i 0.123786 0.686322i
\(349\) 3.44103 5.96003i 0.184194 0.319033i −0.759111 0.650962i \(-0.774366\pi\)
0.943305 + 0.331928i \(0.107699\pi\)
\(350\) 0.918506 1.19282i 0.0490962 0.0637589i
\(351\) 2.91862 15.4879i 0.155785 0.826683i
\(352\) −0.236495 + 1.34123i −0.0126052 + 0.0714879i
\(353\) 7.96374 + 13.7936i 0.423867 + 0.734159i 0.996314 0.0857827i \(-0.0273391\pi\)
−0.572447 + 0.819942i \(0.694006\pi\)
\(354\) 0.0440372 11.2643i 0.00234055 0.598693i
\(355\) 5.26356 + 18.1157i 0.279361 + 0.961482i
\(356\) 12.6126 + 4.59060i 0.668465 + 0.243301i
\(357\) −0.0215213 + 0.0254454i −0.00113903 + 0.00134671i
\(358\) −12.3679 14.7395i −0.653664 0.779007i
\(359\) −21.1878 + 3.73598i −1.11825 + 0.197177i −0.702071 0.712107i \(-0.747741\pi\)
−0.416176 + 0.909284i \(0.636630\pi\)
\(360\) 2.91470 + 6.04190i 0.153618 + 0.318436i
\(361\) 3.33998 + 18.7041i 0.175789 + 0.984428i
\(362\) 15.4939 0.814340
\(363\) −12.1738 + 10.1342i −0.638958 + 0.531906i
\(364\) 0.587031 + 0.699596i 0.0307688 + 0.0366688i
\(365\) 5.38085 21.9091i 0.281647 1.14678i
\(366\) 5.29154 0.911726i 0.276593 0.0476567i
\(367\) 1.43718 1.71277i 0.0750202 0.0894056i −0.727229 0.686395i \(-0.759192\pi\)
0.802249 + 0.596989i \(0.203637\pi\)
\(368\) −0.165482 + 0.286623i −0.00862634 + 0.0149413i
\(369\) 15.6646 + 0.122481i 0.815468 + 0.00637613i
\(370\) 5.23975 + 5.02450i 0.272401 + 0.261211i
\(371\) 0.305754 1.73402i 0.0158740 0.0900258i
\(372\) −3.49093 2.03373i −0.180996 0.105444i
\(373\) 8.49126 14.7073i 0.439661 0.761515i −0.558002 0.829839i \(-0.688432\pi\)
0.997663 + 0.0683245i \(0.0217653\pi\)
\(374\) 0.0666693 + 0.0559421i 0.00344738 + 0.00289270i
\(375\) −19.3572 0.547453i −0.999600 0.0282704i
\(376\) −0.329755 0.905994i −0.0170058 0.0467231i
\(377\) −17.4522 + 14.6441i −0.898834 + 0.754212i
\(378\) −0.253591 1.54385i −0.0130433 0.0794072i
\(379\) 31.6333i 1.62489i 0.583037 + 0.812446i \(0.301864\pi\)
−0.583037 + 0.812446i \(0.698136\pi\)
\(380\) −2.72966 9.35676i −0.140029 0.479992i
\(381\) −8.71981 15.2404i −0.446730 0.780792i
\(382\) −0.757570 4.29639i −0.0387607 0.219823i
\(383\) 3.91617 + 4.66711i 0.200107 + 0.238478i 0.856761 0.515714i \(-0.172473\pi\)
−0.656654 + 0.754192i \(0.728029\pi\)
\(384\) 1.11852 1.32247i 0.0570792 0.0674868i
\(385\) 0.541569 + 0.739924i 0.0276009 + 0.0377100i
\(386\) −12.1229 + 14.4475i −0.617038 + 0.735358i
\(387\) −14.2589 + 8.08441i −0.724822 + 0.410954i
\(388\) −3.50449 6.06995i −0.177914 0.308155i
\(389\) −16.3942 2.89073i −0.831217 0.146566i −0.258182 0.966096i \(-0.583123\pi\)
−0.573036 + 0.819530i \(0.694234\pi\)
\(390\) 2.84641 11.3971i 0.144134 0.577116i
\(391\) 0.0105748 + 0.0183160i 0.000534788 + 0.000926280i
\(392\) −5.98366 3.45467i −0.302221 0.174487i
\(393\) −16.5554 2.98595i −0.835110 0.150621i
\(394\) −6.31050 + 17.3380i −0.317918 + 0.873474i
\(395\) 7.71288 31.4044i 0.388077 1.58013i
\(396\) −4.02912 + 0.678004i −0.202471 + 0.0340710i
\(397\) 31.3959 5.53594i 1.57571 0.277841i 0.683670 0.729791i \(-0.260383\pi\)
0.892043 + 0.451951i \(0.149272\pi\)
\(398\) 4.52908i 0.227022i
\(399\) −0.00641620 + 2.27322i −0.000321212 + 0.113803i
\(400\) 1.90557 + 4.62264i 0.0952784 + 0.231132i
\(401\) −6.36197 36.0805i −0.317702 1.80177i −0.556655 0.830744i \(-0.687915\pi\)
0.238953 0.971031i \(-0.423196\pi\)
\(402\) −6.87256 + 18.6550i −0.342772 + 0.930425i
\(403\) 2.41977 + 6.64826i 0.120537 + 0.331174i
\(404\) −4.45013 + 12.2266i −0.221402 + 0.608298i
\(405\) −14.1542 + 14.3059i −0.703328 + 0.710865i
\(406\) −1.13079 + 1.95859i −0.0561204 + 0.0972033i
\(407\) −3.82918 + 2.21078i −0.189805 + 0.109584i
\(408\) −0.0374488 0.104155i −0.00185399 0.00515644i
\(409\) 16.0690 + 2.83340i 0.794562 + 0.140103i 0.556172 0.831067i \(-0.312269\pi\)
0.238389 + 0.971170i \(0.423381\pi\)
\(410\) 11.6504 + 0.773548i 0.575374 + 0.0382028i
\(411\) −16.4836 0.0644413i −0.813074 0.00317865i
\(412\) 11.2320 + 9.42473i 0.553359 + 0.464323i
\(413\) −0.669739 + 1.84009i −0.0329557 + 0.0905451i
\(414\) −0.976430 0.180054i −0.0479889 0.00884916i
\(415\) −2.66275 + 0.289330i −0.130709 + 0.0142026i
\(416\) −2.98703 + 0.526694i −0.146451 + 0.0258233i
\(417\) −11.0791 19.3640i −0.542545 0.948258i
\(418\) 5.93648 0.00645233i 0.290362 0.000315594i
\(419\) 16.2266i 0.792723i −0.918095 0.396361i \(-0.870273\pi\)
0.918095 0.396361i \(-0.129727\pi\)
\(420\) −0.121436 1.15980i −0.00592548 0.0565925i
\(421\) −2.31467 2.75851i −0.112810 0.134442i 0.706684 0.707529i \(-0.250190\pi\)
−0.819494 + 0.573087i \(0.805746\pi\)
\(422\) −10.3995 + 3.78512i −0.506241 + 0.184257i
\(423\) 2.23019 1.84183i 0.108435 0.0895528i
\(424\) 4.47972 + 3.75893i 0.217555 + 0.182550i
\(425\) 0.316709 + 0.0422430i 0.0153626 + 0.00204909i
\(426\) 12.6263 + 7.35576i 0.611746 + 0.356388i
\(427\) −0.919244 0.162087i −0.0444853 0.00784396i
\(428\) −9.15701 1.61463i −0.442621 0.0780460i
\(429\) 6.18225 + 3.60162i 0.298482 + 0.173888i
\(430\) −10.9620 + 5.39429i −0.528634 + 0.260136i
\(431\) −0.498544 0.418328i −0.0240140 0.0201502i 0.630702 0.776025i \(-0.282767\pi\)
−0.654716 + 0.755875i \(0.727212\pi\)
\(432\) 4.86161 + 1.83433i 0.233904 + 0.0882543i
\(433\) −2.08615 + 0.759297i −0.100254 + 0.0364895i −0.391660 0.920110i \(-0.628099\pi\)
0.291406 + 0.956599i \(0.405877\pi\)
\(434\) 0.451447 + 0.538014i 0.0216702 + 0.0258255i
\(435\) 28.9325 3.02936i 1.38721 0.145247i
\(436\) 12.2235i 0.585400i
\(437\) 1.35617 + 0.491938i 0.0648745 + 0.0235326i
\(438\) −8.67830 15.1679i −0.414665 0.724750i
\(439\) 1.63843 0.288899i 0.0781980 0.0137884i −0.134412 0.990925i \(-0.542915\pi\)
0.212610 + 0.977137i \(0.431804\pi\)
\(440\) −3.02753 + 0.328966i −0.144332 + 0.0156829i
\(441\) 3.75888 20.3844i 0.178994 0.970683i
\(442\) −0.0662917 + 0.182135i −0.00315318 + 0.00866328i
\(443\) −26.1390 21.9332i −1.24190 1.04208i −0.997373 0.0724371i \(-0.976922\pi\)
−0.244529 0.969642i \(-0.578633\pi\)
\(444\) 5.62315 + 0.0219833i 0.266863 + 0.00104328i
\(445\) −1.98835 + 29.9466i −0.0942568 + 1.41960i
\(446\) −11.9722 2.11102i −0.566900 0.0999597i
\(447\) 9.52358 + 26.4876i 0.450450 + 1.25282i
\(448\) −0.260757 + 0.150548i −0.0123196 + 0.00711273i
\(449\) −19.7245 + 34.1638i −0.930855 + 1.61229i −0.148992 + 0.988838i \(0.547603\pi\)
−0.781863 + 0.623450i \(0.785730\pi\)
\(450\) −11.1551 + 10.0281i −0.525857 + 0.472731i
\(451\) −2.43229 + 6.68267i −0.114532 + 0.314675i
\(452\) 3.74821 + 10.2981i 0.176301 + 0.484384i
\(453\) −7.24928 + 19.6775i −0.340601 + 0.924532i
\(454\) 4.29785 + 24.3743i 0.201708 + 1.14394i
\(455\) −1.13598 + 1.69699i −0.0532554 + 0.0795559i
\(456\) −6.52767 3.79336i −0.305686 0.177640i
\(457\) 20.8281i 0.974295i 0.873320 + 0.487148i \(0.161963\pi\)
−0.873320 + 0.487148i \(0.838037\pi\)
\(458\) 5.23122 0.922404i 0.244439 0.0431011i
\(459\) 0.256850 0.210439i 0.0119887 0.00982244i
\(460\) −0.718700 0.176512i −0.0335095 0.00822991i
\(461\) −3.47801 + 9.55575i −0.161987 + 0.445056i −0.993958 0.109764i \(-0.964991\pi\)
0.831971 + 0.554820i \(0.187213\pi\)
\(462\) 0.698983 + 0.126069i 0.0325196 + 0.00586527i
\(463\) −21.1384 12.2042i −0.982383 0.567179i −0.0793943 0.996843i \(-0.525299\pi\)
−0.902989 + 0.429664i \(0.858632\pi\)
\(464\) −3.75559 6.50487i −0.174349 0.301981i
\(465\) 2.18899 8.76478i 0.101512 0.406457i
\(466\) 14.1488 + 2.49481i 0.655430 + 0.115570i
\(467\) −4.56140 7.90057i −0.211076 0.365595i 0.740975 0.671532i \(-0.234364\pi\)
−0.952052 + 0.305937i \(0.901030\pi\)
\(468\) −4.48791 7.91558i −0.207454 0.365898i
\(469\) 2.22148 2.64746i 0.102578 0.122248i
\(470\) 1.73968 1.27332i 0.0802454 0.0587337i
\(471\) 17.0055 20.1061i 0.783570 0.926442i
\(472\) −4.18038 4.98199i −0.192418 0.229315i
\(473\) −1.29215 7.32817i −0.0594133 0.336950i
\(474\) −12.4394 21.7416i −0.571362 0.998623i
\(475\) 18.3885 11.6989i 0.843720 0.536783i
\(476\) 0.0192409i 0.000881904i
\(477\) −6.12897 + 16.4382i −0.280626 + 0.752652i
\(478\) 7.86294 6.59779i 0.359643 0.301776i
\(479\) 10.5719 + 29.0461i 0.483043 + 1.32715i 0.906872 + 0.421407i \(0.138464\pi\)
−0.423829 + 0.905742i \(0.639314\pi\)
\(480\) 3.53752 + 1.57668i 0.161465 + 0.0719654i
\(481\) −7.54336 6.32963i −0.343948 0.288606i
\(482\) −2.79945 + 4.84879i −0.127511 + 0.220856i
\(483\) 0.149139 + 0.0868849i 0.00678608 + 0.00395340i
\(484\) −1.58804 + 9.00623i −0.0721837 + 0.409374i
\(485\) 10.8474 11.3121i 0.492555 0.513655i
\(486\) −0.304689 + 15.5855i −0.0138210 + 0.706972i
\(487\) 19.2347 33.3156i 0.871609 1.50967i 0.0112782 0.999936i \(-0.496410\pi\)
0.860331 0.509735i \(-0.170257\pi\)
\(488\) 1.99270 2.37480i 0.0902052 0.107502i
\(489\) 2.86463 0.493573i 0.129543 0.0223201i
\(490\) 3.68493 15.0039i 0.166468 0.677806i
\(491\) −9.08306 10.8248i −0.409913 0.488515i 0.521103 0.853494i \(-0.325521\pi\)
−0.931016 + 0.364979i \(0.881076\pi\)
\(492\) 6.95097 5.78640i 0.313374 0.260871i
\(493\) −0.479985 −0.0216174
\(494\) 4.53536 + 12.4188i 0.204055 + 0.558747i
\(495\) −3.96959 8.22859i −0.178420 0.369848i
\(496\) −2.29713 + 0.405046i −0.103144 + 0.0181871i
\(497\) −1.63283 1.94594i −0.0732426 0.0872872i
\(498\) −1.33979 + 1.58408i −0.0600375 + 0.0709845i
\(499\) 2.10380 + 0.765722i 0.0941792 + 0.0342784i 0.388680 0.921373i \(-0.372931\pi\)
−0.294501 + 0.955651i \(0.595153\pi\)
\(500\) −8.73718 + 6.97580i −0.390738 + 0.311967i
\(501\) −0.0904711 + 23.1418i −0.00404195 + 1.03390i
\(502\) 2.58645 + 4.47986i 0.115439 + 0.199946i
\(503\) 6.16336 34.9542i 0.274811 1.55853i −0.464751 0.885441i \(-0.653856\pi\)
0.739562 0.673088i \(-0.235033\pi\)
\(504\) −0.687398 0.586015i −0.0306192 0.0261032i
\(505\) −29.0303 1.92751i −1.29183 0.0857731i
\(506\) 0.225373 0.390358i 0.0100191 0.0173535i
\(507\) 1.16832 6.47769i 0.0518870 0.287685i
\(508\) −9.52613 3.46723i −0.422654 0.153833i
\(509\) −33.7020 + 12.2665i −1.49382 + 0.543704i −0.954451 0.298368i \(-0.903558\pi\)
−0.539364 + 0.842073i \(0.681335\pi\)
\(510\) 0.200285 0.145394i 0.00886875 0.00643817i
\(511\) 0.527513 + 2.99168i 0.0233358 + 0.132344i
\(512\) 1.00000i 0.0441942i
\(513\) 4.17018 22.2623i 0.184118 0.982904i
\(514\) 28.6727 1.26470
\(515\) −13.2299 + 29.9980i −0.582978 + 1.32187i
\(516\) −3.27146 + 8.88008i −0.144018 + 0.390924i
\(517\) 0.449100 + 1.23389i 0.0197514 + 0.0542665i
\(518\) −0.918573 0.334333i −0.0403598 0.0146898i
\(519\) 16.0215 + 2.88965i 0.703265 + 0.126841i
\(520\) −2.99454 6.08535i −0.131319 0.266860i
\(521\) −7.48895 12.9712i −0.328097 0.568280i 0.654037 0.756462i \(-0.273074\pi\)
−0.982134 + 0.188182i \(0.939741\pi\)
\(522\) 14.6188 17.1479i 0.639848 0.750544i
\(523\) 4.94711 28.0565i 0.216322 1.22682i −0.662276 0.749260i \(-0.730409\pi\)
0.878598 0.477563i \(-0.158480\pi\)
\(524\) −8.41127 + 4.85625i −0.367448 + 0.212146i
\(525\) 2.41464 0.984348i 0.105383 0.0429605i
\(526\) −1.31785 + 1.57055i −0.0574609 + 0.0684792i
\(527\) −0.0509806 + 0.140068i −0.00222075 + 0.00610146i
\(528\) −1.52334 + 1.80109i −0.0662947 + 0.0783826i
\(529\) −17.5351 + 14.7137i −0.762396 + 0.639726i
\(530\) −5.27657 + 11.9643i −0.229200 + 0.519698i
\(531\) 9.88710 16.8199i 0.429063 0.729920i
\(532\) 0.844717 + 1.00448i 0.0366231 + 0.0435496i
\(533\) −15.8380 −0.686020
\(534\) 14.8735 + 17.8670i 0.643641 + 0.773180i
\(535\) −2.24596 20.6699i −0.0971012 0.893638i
\(536\) 3.92574 + 10.7859i 0.169566 + 0.465879i
\(537\) −5.65873 32.8425i −0.244192 1.41726i
\(538\) 10.2411 12.2049i 0.441525 0.526189i
\(539\) 8.14928 + 4.70499i 0.351014 + 0.202658i
\(540\) −0.905677 + 11.5836i −0.0389741 + 0.498479i
\(541\) 1.87963 10.6599i 0.0808118 0.458306i −0.917370 0.398035i \(-0.869692\pi\)
0.998182 0.0602715i \(-0.0191966\pi\)
\(542\) 17.7656 + 3.13255i 0.763097 + 0.134555i
\(543\) 23.1882 + 13.5088i 0.995099 + 0.579720i
\(544\) −0.0553414 0.0319514i −0.00237274 0.00136990i
\(545\) 26.2471 7.62616i 1.12430 0.326669i
\(546\) 0.268586 + 1.55884i 0.0114944 + 0.0667122i
\(547\) −42.1511 + 15.3418i −1.80225 + 0.655966i −0.804147 + 0.594431i \(0.797377\pi\)
−0.998105 + 0.0615348i \(0.980400\pi\)
\(548\) −7.29033 + 6.11732i −0.311428 + 0.261319i
\(549\) 8.71425 + 3.24911i 0.371915 + 0.138669i
\(550\) −2.59523 6.29568i −0.110661 0.268448i
\(551\) −25.0578 + 21.0724i −1.06750 + 0.897715i
\(552\) −0.497563 + 0.284680i −0.0211777 + 0.0121168i
\(553\) 0.756135 + 4.28825i 0.0321541 + 0.182355i
\(554\) 0.792018 0.664582i 0.0336496 0.0282354i
\(555\) 3.46104 + 12.0881i 0.146913 + 0.513112i
\(556\) −12.1036 4.40534i −0.513305 0.186828i
\(557\) −28.6909 24.0745i −1.21567 1.02007i −0.999040 0.0438157i \(-0.986049\pi\)
−0.216631 0.976253i \(-0.569507\pi\)
\(558\) −3.45136 6.08736i −0.146108 0.257698i
\(559\) 14.3520 8.28610i 0.607023 0.350465i
\(560\) −0.485951 0.465989i −0.0205352 0.0196916i
\(561\) 0.0510024 + 0.141851i 0.00215332 + 0.00598895i
\(562\) 13.5493 7.82272i 0.571545 0.329981i
\(563\) −33.9867 19.6222i −1.43237 0.826978i −0.435067 0.900398i \(-0.643275\pi\)
−0.997301 + 0.0734196i \(0.976609\pi\)
\(564\) 0.296409 1.64342i 0.0124811 0.0692005i
\(565\) −19.7744 + 14.4734i −0.831914 + 0.608899i
\(566\) 7.27265 2.64703i 0.305692 0.111263i
\(567\) 0.966534 2.53164i 0.0405906 0.106319i
\(568\) 8.30847 1.46501i 0.348615 0.0614703i
\(569\) 19.4653 0.816026 0.408013 0.912976i \(-0.366222\pi\)
0.408013 + 0.912976i \(0.366222\pi\)
\(570\) 4.07278 16.3833i 0.170590 0.686221i
\(571\) −33.7349 −1.41176 −0.705880 0.708332i \(-0.749448\pi\)
−0.705880 + 0.708332i \(0.749448\pi\)
\(572\) 4.06810 0.717316i 0.170096 0.0299925i
\(573\) 2.61217 7.09051i 0.109125 0.296210i
\(574\) −1.47742 + 0.537736i −0.0616662 + 0.0224447i
\(575\) −0.0693737 1.65336i −0.00289308 0.0689501i
\(576\) 2.82701 1.00399i 0.117792 0.0418328i
\(577\) −39.1212 22.5866i −1.62864 0.940294i −0.984500 0.175384i \(-0.943883\pi\)
−0.644137 0.764910i \(-0.722783\pi\)
\(578\) 14.7189 8.49796i 0.612225 0.353468i
\(579\) −30.7396 + 11.0524i −1.27750 + 0.459323i
\(580\) 11.6246 12.1226i 0.482686 0.503364i
\(581\) 0.312342 0.180331i 0.0129581 0.00748137i
\(582\) 0.0474597 12.1398i 0.00196727 0.503212i
\(583\) −6.10103 5.11937i −0.252679 0.212023i
\(584\) −9.48077 3.45072i −0.392317 0.142792i
\(585\) 14.1969 14.5752i 0.586969 0.602611i
\(586\) 23.6322 19.8298i 0.976237 0.819160i
\(587\) −1.74499 9.89633i −0.0720234 0.408465i −0.999410 0.0343596i \(-0.989061\pi\)
0.927386 0.374106i \(-0.122050\pi\)
\(588\) −5.94310 10.3873i −0.245089 0.428366i
\(589\) 3.48785 + 9.55047i 0.143714 + 0.393520i
\(590\) 8.08955 12.0846i 0.333041 0.497516i
\(591\) −24.5610 + 20.4460i −1.01030 + 0.841037i
\(592\) 2.48700 2.08684i 0.102215 0.0857688i
\(593\) 8.78941 3.19908i 0.360938 0.131371i −0.155184 0.987886i \(-0.549597\pi\)
0.516122 + 0.856515i \(0.327375\pi\)
\(594\) −6.62113 2.49822i −0.271668 0.102503i
\(595\) −0.0413153 + 0.0120042i −0.00169376 + 0.000492126i
\(596\) 14.0738 + 8.12553i 0.576486 + 0.332834i
\(597\) 3.94882 6.77823i 0.161615 0.277414i
\(598\) 0.988599 + 0.174317i 0.0404268 + 0.00712834i
\(599\) −0.282246 + 1.60070i −0.0115323 + 0.0654028i −0.990031 0.140851i \(-0.955016\pi\)
0.978499 + 0.206254i \(0.0661273\pi\)
\(600\) −1.17852 + 8.57969i −0.0481131 + 0.350264i
\(601\) −27.3240 15.7755i −1.11457 0.643497i −0.174561 0.984646i \(-0.555851\pi\)
−0.940009 + 0.341149i \(0.889184\pi\)
\(602\) 1.05746 1.26023i 0.0430989 0.0513633i
\(603\) −26.5504 + 21.9270i −1.08122 + 0.892937i
\(604\) 4.14093 + 11.3771i 0.168492 + 0.462928i
\(605\) −20.3296 + 2.20898i −0.826514 + 0.0898077i
\(606\) −17.3203 + 14.4184i −0.703589 + 0.585709i
\(607\) 35.4233 1.43779 0.718895 0.695119i \(-0.244648\pi\)
0.718895 + 0.695119i \(0.244648\pi\)
\(608\) −4.29185 + 0.761580i −0.174058 + 0.0308862i
\(609\) −3.40001 + 1.94532i −0.137775 + 0.0788281i
\(610\) 6.34257 + 2.79723i 0.256803 + 0.113257i
\(611\) −2.24017 + 1.87973i −0.0906277 + 0.0760457i
\(612\) 0.0347649 0.188530i 0.00140529 0.00762086i
\(613\) 3.55306 9.76196i 0.143507 0.394282i −0.847027 0.531550i \(-0.821610\pi\)
0.990534 + 0.137268i \(0.0438321\pi\)
\(614\) −4.49641 + 5.35862i −0.181460 + 0.216256i
\(615\) 16.7616 + 11.3155i 0.675894 + 0.456285i
\(616\) 0.355131 0.205035i 0.0143086 0.00826108i
\(617\) −4.72712 + 26.8088i −0.190307 + 1.07928i 0.728639 + 0.684898i \(0.240153\pi\)
−0.918946 + 0.394384i \(0.870958\pi\)
\(618\) 8.59252 + 23.8980i 0.345642 + 0.961320i
\(619\) −20.8777 36.1613i −0.839146 1.45344i −0.890610 0.454769i \(-0.849722\pi\)
0.0514634 0.998675i \(-0.483611\pi\)
\(620\) −2.30291 4.67985i −0.0924869 0.187947i
\(621\) −1.30434 1.12080i −0.0523414 0.0449762i
\(622\) 9.11406 + 3.31725i 0.365440 + 0.133009i
\(623\) −1.38221 3.79760i −0.0553771 0.152147i
\(624\) −4.92961 1.81609i −0.197343 0.0727017i
\(625\) −20.4300 14.4089i −0.817199 0.576356i
\(626\) 19.7851 0.790771
\(627\) 8.89017 + 5.16625i 0.355039 + 0.206320i
\(628\) 15.2035i 0.606687i
\(629\) −0.0360257 0.204312i −0.00143644 0.00814645i
\(630\) 0.829468 1.84164i 0.0330468 0.0733726i
\(631\) 39.1946 14.2657i 1.56031 0.567907i 0.589504 0.807765i \(-0.299323\pi\)
0.970808 + 0.239858i \(0.0771010\pi\)
\(632\) −13.5897 4.94624i −0.540569 0.196751i
\(633\) −18.8642 3.40235i −0.749783 0.135231i
\(634\) −5.77521 + 10.0030i −0.229363 + 0.397268i
\(635\) 1.50178 22.6183i 0.0595962 0.897581i
\(636\) 3.42702 + 9.53143i 0.135890 + 0.377946i
\(637\) −3.63911 + 20.6384i −0.144187 + 0.817724i
\(638\) 5.11482 + 8.85913i 0.202498 + 0.350736i
\(639\) 12.4832 + 22.0173i 0.493827 + 0.870991i
\(640\) 2.14727 0.623893i 0.0848782 0.0246615i
\(641\) 5.88345 + 2.14140i 0.232382 + 0.0845803i 0.455587 0.890191i \(-0.349430\pi\)
−0.223204 + 0.974772i \(0.571652\pi\)
\(642\) −12.2966 10.4003i −0.485310 0.410467i
\(643\) 21.6550 + 25.8074i 0.853988 + 1.01774i 0.999597 + 0.0284009i \(0.00904151\pi\)
−0.145609 + 0.989342i \(0.546514\pi\)
\(644\) 0.0981380 0.0173044i 0.00386718 0.000681888i
\(645\) −21.1089 1.48447i −0.831164 0.0584509i
\(646\) −0.0949837 + 0.261851i −0.00373708 + 0.0103024i
\(647\) 8.85339 0.348063 0.174031 0.984740i \(-0.444321\pi\)
0.174031 + 0.984740i \(0.444321\pi\)
\(648\) 5.67657 + 6.98402i 0.222997 + 0.274358i
\(649\) 5.69336 + 6.78508i 0.223484 + 0.266338i
\(650\) 11.1986 10.2267i 0.439245 0.401124i
\(651\) 0.206552 + 1.19880i 0.00809541 + 0.0469847i
\(652\) 1.07877 1.28563i 0.0422479 0.0503491i
\(653\) 0.213128 0.369148i 0.00834034 0.0144459i −0.861825 0.507206i \(-0.830678\pi\)
0.870165 + 0.492760i \(0.164012\pi\)
\(654\) 10.6575 18.2937i 0.416740 0.715342i
\(655\) −15.6754 15.0315i −0.612488 0.587328i
\(656\) 0.906739 5.14237i 0.0354022 0.200776i
\(657\) 0.236655 30.2668i 0.00923279 1.18082i
\(658\) −0.145149 + 0.251406i −0.00565851 + 0.00980082i
\(659\) 3.04626 + 2.55612i 0.118665 + 0.0995721i 0.700189 0.713957i \(-0.253099\pi\)
−0.581524 + 0.813529i \(0.697543\pi\)
\(660\) −4.81783 2.14732i −0.187534 0.0835843i
\(661\) −8.53117 23.4392i −0.331824 0.911679i −0.987637 0.156756i \(-0.949896\pi\)
0.655813 0.754923i \(-0.272326\pi\)
\(662\) −16.9215 + 14.1988i −0.657672 + 0.551852i
\(663\) −0.258013 + 0.214785i −0.0100204 + 0.00834157i
\(664\) 1.19783i 0.0464847i
\(665\) −1.62986 + 2.44052i −0.0632035 + 0.0946393i
\(666\) 8.39646 + 4.93563i 0.325356 + 0.191252i
\(667\) 0.431677 + 2.44816i 0.0167146 + 0.0947932i
\(668\) 8.58829 + 10.2351i 0.332291 + 0.396009i
\(669\) −16.0771 13.5977i −0.621575 0.525718i
\(670\) −20.7109 + 15.1588i −0.800133 + 0.585637i
\(671\) −2.71390 + 3.23430i −0.104769 + 0.124859i
\(672\) −0.521510 0.00203881i −0.0201177 7.86486e-5i
\(673\) 23.7354 + 41.1110i 0.914933 + 1.58471i 0.806999 + 0.590553i \(0.201090\pi\)
0.107935 + 0.994158i \(0.465576\pi\)
\(674\) 3.93471 + 0.693795i 0.151559 + 0.0267240i
\(675\) −25.4381 + 5.28220i −0.979114 + 0.203312i
\(676\) −1.90012 3.29111i −0.0730816 0.126581i
\(677\) −16.7209 9.65384i −0.642638 0.371027i 0.142992 0.989724i \(-0.454328\pi\)
−0.785630 + 0.618697i \(0.787661\pi\)
\(678\) −3.36918 + 18.6802i −0.129393 + 0.717410i
\(679\) −0.721791 + 1.98311i −0.0276998 + 0.0761046i
\(680\) 0.0340810 0.138767i 0.00130695 0.00532147i
\(681\) −14.8194 + 40.2259i −0.567879 + 1.54146i
\(682\) 3.12851 0.551641i 0.119797 0.0211234i
\(683\) 23.7348i 0.908186i 0.890954 + 0.454093i \(0.150037\pi\)
−0.890954 + 0.454093i \(0.849963\pi\)
\(684\) −6.46196 11.3685i −0.247079 0.434686i
\(685\) −17.6839 11.8377i −0.675667 0.452297i
\(686\) 0.727247 + 4.12442i 0.0277664 + 0.157471i
\(687\) 8.63328 + 3.18053i 0.329380 + 0.121345i
\(688\) 1.86872 + 5.13426i 0.0712442 + 0.195742i
\(689\) 6.06649 16.6675i 0.231115 0.634982i
\(690\) −0.921710 0.890790i −0.0350889 0.0339118i
\(691\) −6.88252 + 11.9209i −0.261823 + 0.453491i −0.966726 0.255812i \(-0.917657\pi\)
0.704903 + 0.709304i \(0.250990\pi\)
\(692\) 8.13999 4.69963i 0.309436 0.178653i
\(693\) 0.936183 + 0.798107i 0.0355626 + 0.0303176i
\(694\) 13.7846 + 2.43059i 0.523255 + 0.0922640i
\(695\) 1.90811 28.7380i 0.0723786 1.09010i
\(696\) 0.0508603 13.0096i 0.00192785 0.493129i
\(697\) −0.255615 0.214486i −0.00968209 0.00812424i
\(698\) 2.35380 6.46702i 0.0890927 0.244780i
\(699\) 18.9999 + 16.0698i 0.718644 + 0.607817i
\(700\) 0.697421 1.33420i 0.0263600 0.0504278i
\(701\) 37.8763 6.67861i 1.43057 0.252248i 0.595925 0.803040i \(-0.296786\pi\)
0.834642 + 0.550793i \(0.185674\pi\)
\(702\) 0.184839 15.7594i 0.00697628 0.594801i
\(703\) −10.8505 9.08456i −0.409234 0.342630i
\(704\) 1.36192i 0.0513294i
\(705\) 3.71379 0.388850i 0.139869 0.0146450i
\(706\) 10.2380 + 12.2012i 0.385312 + 0.459196i
\(707\) 3.68140 1.33992i 0.138453 0.0503928i
\(708\) −1.91267 11.1009i −0.0718824 0.417196i
\(709\) −16.6759 13.9928i −0.626277 0.525509i 0.273492 0.961874i \(-0.411821\pi\)
−0.899770 + 0.436365i \(0.856266\pi\)
\(710\) 8.32936 + 16.9265i 0.312595 + 0.635240i
\(711\) 0.339220 43.3842i 0.0127217 1.62703i
\(712\) 13.2181 + 2.33071i 0.495369 + 0.0873470i
\(713\) 0.760267 + 0.134056i 0.0284722 + 0.00502042i
\(714\) −0.0167758 + 0.0287959i −0.000627818 + 0.00107766i
\(715\) 4.07833 + 8.28777i 0.152521 + 0.309945i
\(716\) −14.7395 12.3679i −0.550841 0.462210i
\(717\) 17.5202 3.01871i 0.654304 0.112736i
\(718\) −20.2171 + 7.35844i −0.754497 + 0.274614i
\(719\) −21.3466 25.4399i −0.796094 0.948748i 0.203446 0.979086i \(-0.434786\pi\)
−0.999540 + 0.0303382i \(0.990342\pi\)
\(720\) 3.91958 + 5.44397i 0.146074 + 0.202885i
\(721\) 4.41476i 0.164414i
\(722\) 6.53718 + 17.8400i 0.243289 + 0.663936i
\(723\) −8.41724 + 4.81592i −0.313041 + 0.179106i
\(724\) 15.2585 2.69048i 0.567077 0.0999910i
\(725\) 33.2830 + 17.3979i 1.23610 + 0.646144i
\(726\) −10.2290 + 12.0942i −0.379636 + 0.448857i
\(727\) −11.6972 + 32.1379i −0.433827 + 1.19193i 0.509618 + 0.860401i \(0.329787\pi\)
−0.943445 + 0.331529i \(0.892436\pi\)
\(728\) 0.699596 + 0.587031i 0.0259288 + 0.0217568i
\(729\) −14.0447 + 23.0596i −0.520174 + 0.854060i
\(730\) 1.49463 22.5106i 0.0553187 0.833156i
\(731\) 0.343845 + 0.0606292i 0.0127176 + 0.00224245i
\(732\) 5.05283 1.81674i 0.186758 0.0671487i
\(733\) −43.0329 + 24.8451i −1.58946 + 0.917673i −0.596061 + 0.802939i \(0.703268\pi\)
−0.993396 + 0.114734i \(0.963398\pi\)
\(734\) 1.11793 1.93631i 0.0412635 0.0714705i
\(735\) 18.5965 19.2420i 0.685942 0.709752i
\(736\) −0.113196 + 0.311004i −0.00417247 + 0.0114638i
\(737\) −5.34655 14.6895i −0.196943 0.541096i
\(738\) 15.4479 2.59951i 0.568646 0.0956894i
\(739\) 3.87529 + 21.9779i 0.142555 + 0.808469i 0.969298 + 0.245889i \(0.0790800\pi\)
−0.826743 + 0.562580i \(0.809809\pi\)
\(740\) 6.03264 + 4.03830i 0.221764 + 0.148451i
\(741\) −4.04009 + 22.5403i −0.148416 + 0.828038i
\(742\) 1.76077i 0.0646399i
\(743\) 29.8429 5.26211i 1.09483 0.193048i 0.403065 0.915171i \(-0.367945\pi\)
0.691765 + 0.722123i \(0.256834\pi\)
\(744\) −3.79104 1.39664i −0.138986 0.0512031i
\(745\) −8.66711 + 35.2897i −0.317539 + 1.29292i
\(746\) 5.80836 15.9583i 0.212659 0.584277i
\(747\) −3.38627 + 1.20260i −0.123897 + 0.0440009i
\(748\) 0.0753706 + 0.0435153i 0.00275582 + 0.00159108i
\(749\) 1.39984 + 2.42459i 0.0511489 + 0.0885925i
\(750\) −19.1582 + 2.82220i −0.699557 + 0.103052i
\(751\) 19.0123 + 3.35237i 0.693767 + 0.122330i 0.509403 0.860528i \(-0.329866\pi\)
0.184364 + 0.982858i \(0.440977\pi\)
\(752\) −0.482069 0.834969i −0.0175793 0.0304482i
\(753\) −0.0350271 + 8.95965i −0.00127646 + 0.326508i
\(754\) −14.6441 + 17.4522i −0.533308 + 0.635572i
\(755\) −21.8462 + 15.9898i −0.795065 + 0.581928i
\(756\) −0.517826 1.47636i −0.0188331 0.0536948i
\(757\) −18.8437 22.4570i −0.684886 0.816215i 0.305841 0.952082i \(-0.401062\pi\)
−0.990727 + 0.135868i \(0.956618\pi\)
\(758\) 5.49306 + 31.1527i 0.199517 + 1.13152i
\(759\) 0.677641 0.387712i 0.0245968 0.0140731i
\(760\) −4.31297 8.74061i −0.156448 0.317055i
\(761\) 5.20717i 0.188760i −0.995536 0.0943799i \(-0.969913\pi\)
0.995536 0.0943799i \(-0.0300868\pi\)
\(762\) −11.2338 13.4947i −0.406958 0.488862i
\(763\) −2.81939 + 2.36575i −0.102069 + 0.0856458i
\(764\) −1.49212 4.09957i −0.0539831 0.148317i
\(765\) 0.426513 0.0429728i 0.0154206 0.00155369i
\(766\) 4.66711 + 3.91617i 0.168629 + 0.141497i
\(767\) −9.86295 + 17.0831i −0.356131 + 0.616836i
\(768\) 0.871883 1.49660i 0.0314614 0.0540040i
\(769\) 1.80555 10.2398i 0.0651097 0.369256i −0.934791 0.355197i \(-0.884414\pi\)
0.999901 0.0140585i \(-0.00447511\pi\)
\(770\) 0.661828 + 0.634640i 0.0238506 + 0.0228709i
\(771\) 42.9117 + 24.9992i 1.54543 + 0.900326i
\(772\) −9.42993 + 16.3331i −0.339390 + 0.587842i
\(773\) −12.1616 + 14.4936i −0.437421 + 0.521298i −0.939048 0.343786i \(-0.888290\pi\)