Properties

Label 570.2.bf.a.29.32
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 29.32
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.32

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(0.307434 + 1.70455i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.17153 - 0.533326i) q^{5} +(0.598755 + 1.62527i) q^{6} +(0.260757 + 0.150548i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.81097 + 1.04807i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(0.307434 + 1.70455i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.17153 - 0.533326i) q^{5} +(0.598755 + 1.62527i) q^{6} +(0.260757 + 0.150548i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.81097 + 1.04807i) q^{9} +(2.04593 - 0.902307i) q^{10} +(1.17946 - 0.680961i) q^{11} +(0.871883 + 1.49660i) q^{12} +(2.32350 + 1.94965i) q^{13} +(0.282938 + 0.102981i) q^{14} +(1.57668 + 3.53752i) 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} +(-0.176451 + 0.490756i) q^{21} +(1.04329 - 0.875426i) q^{22} +(-0.311004 + 0.113196i) q^{23} +(1.11852 + 1.32247i) q^{24} +(4.43113 - 2.31627i) q^{25} +(2.62675 + 1.51656i) q^{26} +(-2.65067 - 4.46922i) q^{27} +(0.296522 + 0.0522848i) q^{28} +(-1.30430 + 7.39707i) q^{29} +(2.16701 + 3.20999i) q^{30} +(-2.02006 - 1.16628i) q^{31} +(0.642788 - 0.766044i) q^{32} +(1.52334 + 1.80109i) q^{33} +(-0.0218560 - 0.0600489i) q^{34} +(0.646534 + 0.187852i) q^{35} +(-2.28299 + 1.94627i) q^{36} -3.24655 q^{37} +(-3.77728 - 2.17535i) q^{38} +(-2.60894 + 4.55990i) q^{39} +(1.61394 - 1.54764i) q^{40} +(-4.00006 + 3.35645i) q^{41} +(-0.0885514 + 0.513941i) q^{42} +(1.86872 - 5.13426i) q^{43} +(0.875426 - 1.04329i) q^{44} +(-5.54515 + 3.77509i) q^{45} +(-0.286623 + 0.165482i) q^{46} +(0.167421 - 0.949491i) q^{47} +(1.33117 + 1.10815i) q^{48} +(-3.45467 - 5.98366i) q^{49} +(3.96159 - 3.05054i) q^{50} +(0.103859 - 0.0382621i) q^{51} +(2.85019 + 1.03738i) q^{52} +(2.00009 + 5.49519i) q^{53} +(-3.38648 - 3.94104i) q^{54} +(2.19806 - 2.10777i) q^{55} +0.301096 q^{56} +(3.74220 - 6.55713i) q^{57} +7.51118i q^{58} +(1.12932 + 6.40472i) q^{59} +(2.69150 + 2.78493i) q^{60} +(2.91313 - 1.06029i) q^{61} +(-2.19190 - 0.797785i) q^{62} +(-0.890765 - 0.149894i) q^{63} +(0.500000 - 0.866025i) q^{64} +(6.08535 + 2.99454i) q^{65} +(1.81295 + 1.50921i) q^{66} +(1.99315 - 11.3037i) q^{67} +(-0.0319514 - 0.0553414i) q^{68} +(-0.288562 - 0.495322i) q^{69} +(0.669332 + 0.0727285i) q^{70} +(-7.92785 - 2.88550i) q^{71} +(-1.91034 + 2.31314i) 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} +(-1.77749 + 4.94366i) q^{78} +(-9.29589 - 11.0784i) q^{79} +(1.32068 - 1.80439i) q^{80} +(6.80310 - 5.89219i) q^{81} +(-3.35645 + 4.00006i) q^{82} +(-0.598913 + 1.03735i) q^{83} +(0.00203881 + 0.521510i) q^{84} +(-0.0576599 - 0.130741i) q^{85} +(0.948773 - 5.38076i) q^{86} +(-13.0096 + 0.0508603i) q^{87} +(0.680961 - 1.17946i) q^{88} +(-10.2819 - 8.62750i) q^{89} +(-4.80537 + 4.68064i) q^{90} +(0.312353 + 0.858182i) q^{91} +(-0.253533 + 0.212740i) q^{92} +(1.36695 - 3.80185i) q^{93} -0.964139i q^{94} +(-8.74996 - 4.29396i) q^{95} +(1.50337 + 0.860155i) q^{96} +(1.21710 + 6.90250i) q^{97} +(-4.44124 - 5.29286i) q^{98} +(-2.60173 + 3.15032i) 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
\(3\) 0.307434 + 1.70455i 0.177497 + 0.984121i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 2.17153 0.533326i 0.971140 0.238511i
\(6\) 0.598755 + 1.62527i 0.244441 + 0.663512i
\(7\) 0.260757 + 0.150548i 0.0985569 + 0.0569018i 0.548468 0.836171i \(-0.315211\pi\)
−0.449911 + 0.893073i \(0.648544\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −2.81097 + 1.04807i −0.936990 + 0.349357i
\(10\) 2.04593 0.902307i 0.646981 0.285335i
\(11\) 1.17946 0.680961i 0.355620 0.205317i −0.311538 0.950234i \(-0.600844\pi\)
0.667158 + 0.744916i \(0.267511\pi\)
\(12\) 0.871883 + 1.49660i 0.251691 + 0.432032i
\(13\) 2.32350 + 1.94965i 0.644422 + 0.540734i 0.905373 0.424618i \(-0.139591\pi\)
−0.260951 + 0.965352i \(0.584036\pi\)
\(14\) 0.282938 + 0.102981i 0.0756183 + 0.0275228i
\(15\) 1.57668 + 3.53752i 0.407098 + 0.913385i
\(16\) 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
\(21\) −0.176451 + 0.490756i −0.0385048 + 0.107092i
\(22\) 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 \(0.399874\pi\)
\(24\) 1.11852 + 1.32247i 0.228317 + 0.269947i
\(25\) 4.43113 2.31627i 0.886225 0.463255i
\(26\) 2.62675 + 1.51656i 0.515148 + 0.297421i
\(27\) −2.65067 4.46922i −0.510122 0.860102i
\(28\) 0.296522 + 0.0522848i 0.0560374 + 0.00988090i
\(29\) −1.30430 + 7.39707i −0.242203 + 1.37360i 0.584697 + 0.811252i \(0.301213\pi\)
−0.826900 + 0.562349i \(0.809898\pi\)
\(30\) 2.16701 + 3.20999i 0.395641 + 0.586062i
\(31\) −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
\(33\) 1.52334 + 1.80109i 0.265179 + 0.313530i
\(34\) −0.0218560 0.0600489i −0.00374828 0.0102983i
\(35\) 0.646534 + 0.187852i 0.109284 + 0.0317528i
\(36\) −2.28299 + 1.94627i −0.380498 + 0.324379i
\(37\) −3.24655 −0.533730 −0.266865 0.963734i \(-0.585988\pi\)
−0.266865 + 0.963734i \(0.585988\pi\)
\(38\) −3.77728 2.17535i −0.612756 0.352888i
\(39\) −2.60894 + 4.55990i −0.417765 + 0.730168i
\(40\) 1.61394 1.54764i 0.255186 0.244704i
\(41\) −4.00006 + 3.35645i −0.624704 + 0.524189i −0.899278 0.437377i \(-0.855907\pi\)
0.274574 + 0.961566i \(0.411463\pi\)
\(42\) −0.0885514 + 0.513941i −0.0136638 + 0.0793028i
\(43\) 1.86872 5.13426i 0.284977 0.782967i −0.711773 0.702409i \(-0.752108\pi\)
0.996750 0.0805579i \(-0.0256702\pi\)
\(44\) 0.875426 1.04329i 0.131975 0.157282i
\(45\) −5.54515 + 3.77509i −0.826623 + 0.562757i
\(46\) −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 \(0.0331545\pi\)
\(48\) 1.33117 + 1.10815i 0.192138 + 0.159947i
\(49\) −3.45467 5.98366i −0.493524 0.854809i
\(50\) 3.96159 3.05054i 0.560253 0.431412i
\(51\) 0.103859 0.0382621i 0.0145432 0.00535776i
\(52\) 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 \(0.757332\pi\)
\(54\) −3.38648 3.94104i −0.460841 0.536307i
\(55\) 2.19806 2.10777i 0.296386 0.284211i
\(56\) 0.301096 0.0402357
\(57\) 3.74220 6.55713i 0.495667 0.868513i
\(58\) 7.51118i 0.986266i
\(59\) 1.12932 + 6.40472i 0.147026 + 0.833824i 0.965718 + 0.259592i \(0.0835880\pi\)
−0.818693 + 0.574232i \(0.805301\pi\)
\(60\) 2.69150 + 2.78493i 0.347471 + 0.359533i
\(61\) 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
\(63\) −0.890765 0.149894i −0.112226 0.0188849i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 6.08535 + 2.99454i 0.754795 + 0.371427i
\(66\) 1.81295 + 1.50921i 0.223159 + 0.185771i
\(67\) 1.99315 11.3037i 0.243502 1.38097i −0.580444 0.814300i \(-0.697121\pi\)
0.823946 0.566668i \(-0.191768\pi\)
\(68\) −0.0319514 0.0553414i −0.00387467 0.00671113i
\(69\) −0.288562 0.495322i −0.0347388 0.0596297i
\(70\) 0.669332 + 0.0727285i 0.0800005 + 0.00869272i
\(71\) −7.92785 2.88550i −0.940862 0.342446i −0.174356 0.984683i \(-0.555784\pi\)
−0.766506 + 0.642237i \(0.778007\pi\)
\(72\) −1.91034 + 2.31314i −0.225135 + 0.272606i
\(73\) 6.48523 + 7.72880i 0.759039 + 0.904587i 0.997787 0.0664943i \(-0.0211814\pi\)
−0.238748 + 0.971082i \(0.576737\pi\)
\(74\) −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
\(78\) −1.77749 + 4.94366i −0.201261 + 0.559760i
\(79\) −9.29589 11.0784i −1.04587 1.24642i −0.968394 0.249425i \(-0.919758\pi\)
−0.0774757 0.996994i \(-0.524686\pi\)
\(80\) 1.32068 1.80439i 0.147656 0.201737i
\(81\) 6.80310 5.89219i 0.755900 0.654688i
\(82\) −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 \(0.187607\pi\)
\(84\) 0.00203881 + 0.521510i 0.000222452 + 0.0569014i
\(85\) −0.0576599 0.130741i −0.00625409 0.0141808i
\(86\) 0.948773 5.38076i 0.102309 0.580222i
\(87\) −13.0096 + 0.0508603i −1.39478 + 0.00545279i
\(88\) 0.680961 1.17946i 0.0725907 0.125731i
\(89\) −10.2819 8.62750i −1.08987 0.914513i −0.0931717 0.995650i \(-0.529701\pi\)
−0.996703 + 0.0811366i \(0.974145\pi\)
\(90\) −4.80537 + 4.68064i −0.506531 + 0.493383i
\(91\) 0.312353 + 0.858182i 0.0327435 + 0.0899619i
\(92\) −0.253533 + 0.212740i −0.0264326 + 0.0221796i
\(93\) 1.36695 3.80185i 0.141746 0.394233i
\(94\) 0.964139i 0.0994433i
\(95\) −8.74996 4.29396i −0.897727 0.440551i
\(96\) 1.50337 + 0.860155i 0.153437 + 0.0877892i
\(97\) 1.21710 + 6.90250i 0.123577 + 0.700842i 0.982143 + 0.188138i \(0.0602452\pi\)
−0.858565 + 0.512704i \(0.828644\pi\)
\(98\) −4.44124 5.29286i −0.448633 0.534660i
\(99\) −2.60173 + 3.15032i −0.261483 + 0.316619i
\(100\) 3.37168 3.69212i 0.337168 0.369212i
\(101\) 8.36352 9.96725i 0.832201 0.991779i −0.167781 0.985824i \(-0.553660\pi\)
0.999982 0.00595439i \(-0.00189535\pi\)
\(102\) 0.0956370 0.0557157i 0.00946948 0.00551668i
\(103\) −7.33114 12.6979i −0.722359 1.25116i −0.960052 0.279822i \(-0.909725\pi\)
0.237693 0.971340i \(-0.423609\pi\)
\(104\) 2.98703 + 0.526694i 0.292902 + 0.0516466i
\(105\) −0.121436 + 1.15980i −0.0118510 + 0.113185i
\(106\) 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 \(0.815046\pi\)
\(108\) −4.01938 3.29311i −0.386765 0.316880i
\(109\) 4.18068 11.4863i 0.400437 1.10019i −0.561632 0.827387i \(-0.689826\pi\)
0.962069 0.272805i \(-0.0879513\pi\)
\(110\) 1.79866 2.45743i 0.171495 0.234307i
\(111\) −0.998099 5.53391i −0.0947354 0.525255i
\(112\) 0.296522 0.0522848i 0.0280187 0.00494045i
\(113\) 10.9590i 1.03094i 0.856907 + 0.515470i \(0.172383\pi\)
−0.856907 + 0.515470i \(0.827617\pi\)
\(114\) 2.54672 7.10734i 0.238522 0.665663i
\(115\) −0.614986 + 0.411677i −0.0573478 + 0.0383890i
\(116\) 1.30430 + 7.39707i 0.121101 + 0.686800i
\(117\) −8.57465 3.04520i −0.792726 0.281529i
\(118\) 2.22434 + 6.11131i 0.204767 + 0.562592i
\(119\) 0.00658077 0.0180805i 0.000603258 0.00165744i
\(120\) 3.13421 + 2.27524i 0.286113 + 0.207700i
\(121\) −4.57258 + 7.91995i −0.415690 + 0.719995i
\(122\) 2.68475 1.55004i 0.243066 0.140334i
\(123\) −6.95097 5.78640i −0.626748 0.521742i
\(124\) −2.29713 0.405046i −0.206288 0.0363742i
\(125\) 8.38701 7.39311i 0.750157 0.661259i
\(126\) −0.903261 + 0.00706258i −0.0804689 + 0.000629184i
\(127\) 7.76577 + 6.51626i 0.689101 + 0.578224i 0.918650 0.395073i \(-0.129281\pi\)
−0.229549 + 0.973297i \(0.573725\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) 9.32610 + 1.60688i 0.821117 + 0.141478i
\(130\) 6.51290 + 1.89234i 0.571219 + 0.165969i
\(131\) 9.56494 1.68656i 0.835692 0.147355i 0.260603 0.965446i \(-0.416079\pi\)
0.575089 + 0.818091i \(0.304967\pi\)
\(132\) 2.04748 + 1.17146i 0.178210 + 0.101963i
\(133\) −0.450224 1.23281i −0.0390394 0.106898i
\(134\) 11.4781i 0.991556i
\(135\) −8.13958 8.29139i −0.700544 0.713609i
\(136\) −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 \(0.522154\pi\)
\(138\) −0.370190 0.437688i −0.0315126 0.0372585i
\(139\) −9.86691 8.27932i −0.836901 0.702243i 0.119964 0.992778i \(-0.461722\pi\)
−0.956864 + 0.290535i \(0.906167\pi\)
\(140\) 0.671792 0.0446047i 0.0567768 0.00376978i
\(141\) 1.66992 0.00652845i 0.140633 0.000549795i
\(142\) −8.30847 1.46501i −0.697231 0.122941i
\(143\) 4.06810 + 0.717316i 0.340192 + 0.0599850i
\(144\) −1.47964 + 2.60972i −0.123303 + 0.217477i
\(145\) 1.11271 + 16.7586i 0.0924058 + 1.39173i
\(146\) 7.72880 + 6.48523i 0.639640 + 0.536722i
\(147\) 9.13736 7.72823i 0.753637 0.637414i
\(148\) −3.05076 + 1.11039i −0.250771 + 0.0912732i
\(149\) −10.4460 12.4490i −0.855768 1.01986i −0.999542 0.0302536i \(-0.990369\pi\)
0.143775 0.989610i \(-0.454076\pi\)
\(150\) 6.41772 + 5.81488i 0.524005 + 0.474783i
\(151\) 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
\(155\) −5.00864 1.45527i −0.402304 0.116890i
\(156\) −0.892028 + 5.17722i −0.0714194 + 0.414509i
\(157\) −5.19992 + 14.2867i −0.414998 + 1.14020i 0.539501 + 0.841985i \(0.318613\pi\)
−0.954499 + 0.298214i \(0.903609\pi\)
\(158\) −11.0784 9.29589i −0.881351 0.739542i
\(159\) −8.75193 + 5.09865i −0.694073 + 0.404349i
\(160\) 0.987284 2.00631i 0.0780516 0.158613i
\(161\) −0.0981380 0.0173044i −0.00773436 0.00136378i
\(162\) 5.67657 6.98402i 0.445994 0.548716i
\(163\) −1.45342 + 0.839134i −0.113841 + 0.0657260i −0.555839 0.831290i \(-0.687603\pi\)
0.441998 + 0.897016i \(0.354270\pi\)
\(164\) −2.61085 + 4.52213i −0.203873 + 0.353119i
\(165\) 4.26855 + 3.09870i 0.332306 + 0.241234i
\(166\) −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 \(0.715955\pi\)
\(168\) 0.0925671 + 0.513233i 0.00714171 + 0.0395968i
\(169\) −0.659905 3.74251i −0.0507619 0.287885i
\(170\) −0.0794868 0.118742i −0.00609636 0.00910709i
\(171\) 12.3274 + 4.36288i 0.942701 + 0.333638i
\(172\) 5.46377i 0.416608i
\(173\) 9.25645 1.63216i 0.703755 0.124091i 0.189692 0.981844i \(-0.439251\pi\)
0.514063 + 0.857753i \(0.328140\pi\)
\(174\) −12.8032 + 2.30919i −0.970606 + 0.175059i
\(175\) 1.50416 + 0.0631131i 0.113704 + 0.00477090i
\(176\) 0.465805 1.27979i 0.0351113 0.0964676i
\(177\) −10.5700 + 3.89401i −0.794487 + 0.292692i
\(178\) −11.6238 6.71101i −0.871241 0.503011i
\(179\) 9.62052 + 16.6632i 0.719072 + 1.24547i 0.961368 + 0.275266i \(0.0887660\pi\)
−0.242296 + 0.970202i \(0.577901\pi\)
\(180\) −3.91958 + 5.44397i −0.292149 + 0.405770i
\(181\) 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
\(183\) 2.70291 + 4.63960i 0.199805 + 0.342969i
\(184\) −0.212740 + 0.253533i −0.0156834 + 0.0186907i
\(185\) −7.05000 + 1.73147i −0.518327 + 0.127300i
\(186\) 0.686000 3.98146i 0.0503000 0.291935i
\(187\) −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
\(190\) −9.36267 2.70931i −0.679240 0.196554i
\(191\) 4.36267i 0.315672i 0.987465 + 0.157836i \(0.0504517\pi\)
−0.987465 + 0.157836i \(0.949548\pi\)
\(192\) 1.62990 + 0.586029i 0.117628 + 0.0422930i
\(193\) 14.4475 12.1229i 1.03995 0.872624i 0.0479511 0.998850i \(-0.484731\pi\)
0.992002 + 0.126226i \(0.0402864\pi\)
\(194\) 2.39721 + 6.58629i 0.172110 + 0.472868i
\(195\) −3.23350 + 11.2934i −0.231556 + 0.808737i
\(196\) −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 \(0.938374\pi\)
\(198\) −2.01515 + 3.55424i −0.143211 + 0.252589i
\(199\) 0.786466 4.46027i 0.0557511 0.316180i −0.944160 0.329486i \(-0.893124\pi\)
0.999911 + 0.0133061i \(0.00423558\pi\)
\(200\) 2.67933 4.22151i 0.189457 0.298506i
\(201\) 19.8805 0.0777214i 1.40226 0.00548204i
\(202\) 6.50566 11.2681i 0.457737 0.792823i
\(203\) −1.45372 + 1.73248i −0.102031 + 0.121596i
\(204\) 0.0845092 0.0714765i 0.00591682 0.00500435i
\(205\) −6.89618 + 9.42197i −0.481650 + 0.658059i
\(206\) −9.42473 11.2320i −0.656652 0.782567i
\(207\) 0.755586 0.644146i 0.0525169 0.0447712i
\(208\) 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
\(213\) 2.48119 14.4005i 0.170008 0.986706i
\(214\) −8.73752 3.18020i −0.597284 0.217394i
\(215\) 1.31975 12.1459i 0.0900061 0.828341i
\(216\) −4.53016 2.54512i −0.308238 0.173174i
\(217\) −0.351163 0.608233i −0.0238385 0.0412895i
\(218\) 2.12259 12.0378i 0.143760 0.815303i
\(219\) −11.1803 + 13.4305i −0.755497 + 0.907548i
\(220\) 1.34460 2.73243i 0.0906531 0.184221i
\(221\) 0.0969120 0.167857i 0.00651901 0.0112913i
\(222\) −1.94389 5.27652i −0.130465 0.354137i
\(223\) 11.4237 + 4.15790i 0.764990 + 0.278433i 0.694899 0.719107i \(-0.255449\pi\)
0.0700905 + 0.997541i \(0.477671\pi\)
\(224\) 0.282938 0.102981i 0.0189046 0.00688071i
\(225\) −10.0281 + 11.1551i −0.668543 + 0.743674i
\(226\) 1.90302 + 10.7926i 0.126587 + 0.717910i
\(227\) 24.7503i 1.64274i 0.570399 + 0.821368i \(0.306789\pi\)
−0.570399 + 0.821368i \(0.693211\pi\)
\(228\) 1.27385 7.44159i 0.0843628 0.492832i
\(229\) 5.31192 0.351021 0.175511 0.984478i \(-0.443842\pi\)
0.175511 + 0.984478i \(0.443842\pi\)
\(230\) −0.534156 + 0.512214i −0.0352212 + 0.0337744i
\(231\) 0.126069 + 0.698983i 0.00829474 + 0.0459897i
\(232\) 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 \(0.455145\pi\)
\(234\) −8.97317 1.50997i −0.586595 0.0987098i
\(235\) −0.142828 2.15114i −0.00931710 0.140325i
\(236\) 3.25176 + 5.63222i 0.211672 + 0.366626i
\(237\) 16.0258 19.2512i 1.04099 1.25050i
\(238\) 0.00334114 0.0189486i 0.000216574 0.00122825i
\(239\) −8.88918 + 5.13217i −0.574993 + 0.331973i −0.759141 0.650926i \(-0.774381\pi\)
0.184148 + 0.982899i \(0.441047\pi\)
\(240\) 3.48169 + 1.69643i 0.224742 + 0.109504i
\(241\) −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
\(243\) 12.1350 + 9.78475i 0.778462 + 0.627692i
\(244\) 2.37480 1.99270i 0.152031 0.127569i
\(245\) −10.6932 11.1513i −0.683162 0.712428i
\(246\) −7.85017 4.49147i −0.500509 0.286366i
\(247\) −2.30996 13.0177i −0.146979 0.828294i
\(248\) −2.33257 −0.148118
\(249\) −1.95234 0.701961i −0.123724 0.0444850i
\(250\) 6.97580 8.73718i 0.441188 0.552588i
\(251\) −1.76923 4.86093i −0.111673 0.306819i 0.871249 0.490841i \(-0.163310\pi\)
−0.982922 + 0.184022i \(0.941088\pi\)
\(252\) −0.888312 + 0.163805i −0.0559584 + 0.0103187i
\(253\) −0.289735 + 0.345292i −0.0182155 + 0.0217083i
\(254\) 8.77933 + 5.06875i 0.550864 + 0.318041i
\(255\) 0.205127 0.138478i 0.0128456 0.00867184i
\(256\) 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 \(0.203246\pi\)
\(258\) 9.46345 0.0369967i 0.589169 0.00230331i
\(259\) −0.846561 0.488762i −0.0526028 0.0303702i
\(260\) 6.74255 + 0.732635i 0.418155 + 0.0454361i
\(261\) −4.08630 22.1599i −0.252935 1.37167i
\(262\) 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 \(0.297912\pi\)
\(264\) 2.21979 + 0.798125i 0.136619 + 0.0491212i
\(265\) 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 −0.933947 0.357411i \(-0.883660\pi\)
0.189803 + 0.981822i \(0.439215\pi\)
\(270\) −9.45571 6.75200i −0.575456 0.410914i
\(271\) 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
\(273\) −1.36678 + 0.796254i −0.0827216 + 0.0481915i
\(274\) −8.24184 + 4.75843i −0.497908 + 0.287467i
\(275\) 3.64904 5.74937i 0.220045 0.346700i
\(276\) −0.440569 0.366756i −0.0265192 0.0220761i
\(277\) −0.895389 + 0.516953i −0.0537987 + 0.0310607i −0.526658 0.850077i \(-0.676555\pi\)
0.472859 + 0.881138i \(0.343222\pi\)
\(278\) −11.1547 6.44017i −0.669015 0.386256i
\(279\) 6.90068 + 1.16122i 0.413133 + 0.0695203i
\(280\) 0.653841 0.160583i 0.0390745 0.00959664i
\(281\) −14.7019 + 5.35105i −0.877042 + 0.319217i −0.741015 0.671488i \(-0.765655\pi\)
−0.136027 + 0.990705i \(0.543433\pi\)
\(282\) 1.64342 0.296409i 0.0978643 0.0176509i
\(283\) −7.62181 + 1.34393i −0.453070 + 0.0798884i −0.395526 0.918455i \(-0.629438\pi\)
−0.0575432 + 0.998343i \(0.518327\pi\)
\(284\) −8.43664 −0.500622
\(285\) 4.62923 16.2348i 0.274212 0.961669i
\(286\) 4.13086 0.244263
\(287\) −1.54835 + 0.273016i −0.0913961 + 0.0161156i
\(288\) −1.00399 + 2.82701i −0.0591605 + 0.166583i
\(289\) 15.9709 5.81295i 0.939467 0.341938i
\(290\) 4.00591 + 16.3108i 0.235235 + 0.957802i
\(291\) −11.3915 + 4.19666i −0.667779 + 0.246013i
\(292\) 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 \(-0.0239260\pi\)
\(294\) 7.65655 9.19751i 0.446539 0.536410i
\(295\) 5.86817 + 13.3058i 0.341658 + 0.774692i
\(296\) −2.81160 + 1.62328i −0.163421 + 0.0943510i
\(297\) −6.16972 3.46626i −0.358004 0.201133i
\(298\) −12.4490 10.4460i −0.721153 0.605119i
\(299\) −0.943311 0.343337i −0.0545531 0.0198557i
\(300\) 7.32996 + 4.61212i 0.423196 + 0.266281i
\(301\) 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
\(306\) 0.124372 + 0.145889i 0.00710988 + 0.00833992i
\(307\) 5.35862 4.49641i 0.305832 0.256624i −0.476935 0.878939i \(-0.658252\pi\)
0.782767 + 0.622315i \(0.213808\pi\)
\(308\) 0.385339 0.140252i 0.0219567 0.00799160i
\(309\) 19.3904 16.4000i 1.10308 0.932966i
\(310\) −5.18526 0.563421i −0.294503 0.0320002i
\(311\) −8.39956 4.84949i −0.476295 0.274989i 0.242576 0.970132i \(-0.422008\pi\)
−0.718871 + 0.695143i \(0.755341\pi\)
\(312\) 0.0205380 + 5.25346i 0.00116274 + 0.297419i
\(313\) −19.4845 3.43564i −1.10133 0.194194i −0.406700 0.913562i \(-0.633320\pi\)
−0.694629 + 0.719368i \(0.744432\pi\)
\(314\) −2.64007 + 14.9726i −0.148988 + 0.844950i
\(315\) −2.01427 + 0.149568i −0.113491 + 0.00842718i
\(316\) −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 \(0.327374\pi\)
\(318\) −7.73360 + 6.54095i −0.433679 + 0.366798i
\(319\) 3.49874 + 9.61271i 0.195892 + 0.538209i
\(320\) 0.623893 2.14727i 0.0348767 0.120036i
\(321\) 5.44905 15.1552i 0.304137 0.845883i
\(322\) −0.0996520 −0.00555339
\(323\) −0.139011 + 0.241379i −0.00773475 + 0.0134307i
\(324\) 4.37757 7.86364i 0.243198 0.436869i
\(325\) 14.8116 + 3.25727i 0.821601 + 0.180681i
\(326\) −1.28563 + 1.07877i −0.0712043 + 0.0597475i
\(327\) 20.8643 + 3.59489i 1.15380 + 0.198798i
\(328\) −1.78593 + 4.90679i −0.0986113 + 0.270932i
\(329\) 0.186600 0.222382i 0.0102876 0.0122603i
\(330\) 4.74178 + 2.31040i 0.261027 + 0.127183i
\(331\) −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
\(333\) 9.12596 3.40262i 0.500100 0.186462i
\(334\) 6.68051 + 11.5710i 0.365541 + 0.633136i
\(335\) −1.70038 25.6094i −0.0929015 1.39919i
\(336\) 0.180283 + 0.489362i 0.00983523 + 0.0266969i
\(337\) −3.75445 1.36651i −0.204518 0.0744385i 0.237730 0.971331i \(-0.423597\pi\)
−0.442248 + 0.896893i \(0.645819\pi\)
\(338\) −1.29976 3.57106i −0.0706976 0.194240i
\(339\) −18.6802 + 3.36918i −1.01457 + 0.182989i
\(340\) −0.0988985 0.103135i −0.00536353 0.00559329i
\(341\) −3.17677 −0.172032
\(342\) 12.8977 + 2.15597i 0.697430 + 0.116581i
\(343\) 4.18805i 0.226133i
\(344\) −0.948773 5.38076i −0.0511544 0.290111i
\(345\) −0.890790 0.921710i −0.0479585 0.0496232i
\(346\) 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 \(0.488512\pi\)
\(348\) −12.2077 + 4.49735i −0.654400 + 0.241083i
\(349\) 3.44103 5.96003i 0.184194 0.319033i −0.759111 0.650962i \(-0.774366\pi\)
0.943305 + 0.331928i \(0.107699\pi\)
\(350\) 1.49227 0.199040i 0.0797649 0.0106391i
\(351\) 2.55456 15.5521i 0.136353 0.830109i
\(352\) 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 \(0.694006\pi\)
\(354\) −9.73319 + 5.67031i −0.517313 + 0.301374i
\(355\) −18.7545 2.03783i −0.995386 0.108157i
\(356\) −12.6126 4.59060i −0.668465 0.243301i
\(357\) 0.0328422 + 0.00565868i 0.00173820 + 0.000299489i
\(358\) 12.3679 + 14.7395i 0.653664 + 0.779007i
\(359\) 21.1878 3.73598i 1.11825 0.197177i 0.416176 0.909284i \(-0.363370\pi\)
0.702071 + 0.712107i \(0.252259\pi\)
\(360\) −2.91470 + 6.04190i −0.153618 + 0.318436i
\(361\) 3.33998 + 18.7041i 0.175789 + 0.984428i
\(362\) 15.4939 0.814340
\(363\) −14.9057 5.35933i −0.782346 0.281292i
\(364\) 0.587031 + 0.699596i 0.0307688 + 0.0366688i
\(365\) 18.2049 + 13.3246i 0.952887 + 0.697442i
\(366\) 3.46751 + 4.09976i 0.181250 + 0.214298i
\(367\) −1.43718 + 1.71277i −0.0750202 + 0.0894056i −0.802249 0.596989i \(-0.796363\pi\)
0.727229 + 0.686395i \(0.240808\pi\)
\(368\) −0.165482 + 0.286623i −0.00862634 + 0.0149413i
\(369\) 7.72624 13.6272i 0.402212 0.709404i
\(370\) −6.64223 + 2.92939i −0.345313 + 0.152292i
\(371\) −0.305754 + 1.73402i −0.0158740 + 0.0900258i
\(372\) −0.0157945 4.04009i −0.000818904 0.209469i
\(373\) −8.49126 + 14.7073i −0.439661 + 0.761515i −0.997663 0.0683245i \(-0.978235\pi\)
0.558002 + 0.829839i \(0.311568\pi\)
\(374\) −0.0666693 0.0559421i −0.00344738 0.00289270i
\(375\) 15.1804 + 12.0232i 0.783910 + 0.620874i
\(376\) −0.329755 0.905994i −0.0170058 0.0467231i
\(377\) −17.4522 + 14.6441i −0.898834 + 0.754212i
\(378\) −0.289731 1.53748i −0.0149022 0.0790795i
\(379\) 31.6333i 1.62489i 0.583037 + 0.812446i \(0.301864\pi\)
−0.583037 + 0.812446i \(0.698136\pi\)
\(380\) −9.69090 1.04234i −0.497133 0.0534710i
\(381\) −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 \(0.728029\pi\)
\(384\) 1.70690 + 0.294097i 0.0871049 + 0.0150081i
\(385\) 0.890480 0.218701i 0.0453831 0.0111460i
\(386\) 12.1229 14.4475i 0.617038 0.735358i
\(387\) 0.128159 + 16.3908i 0.00651470 + 0.833191i
\(388\) 3.50449 + 6.06995i 0.177914 + 0.308155i
\(389\) 16.3942 + 2.89073i 0.831217 + 0.146566i 0.573036 0.819530i \(-0.305766\pi\)
0.258182 + 0.966096i \(0.416877\pi\)
\(390\) −1.22330 + 11.6833i −0.0619440 + 0.591608i
\(391\) 0.0105748 + 0.0183160i 0.000534788 + 0.000926280i
\(392\) −5.98366 3.45467i −0.302221 0.174487i
\(393\) 5.81540 + 15.7854i 0.293348 + 0.796268i
\(394\) −6.31050 + 17.3380i −0.317918 + 0.873474i
\(395\) −26.0948 19.0994i −1.31297 0.960996i
\(396\) −1.36735 + 3.85017i −0.0687120 + 0.193478i
\(397\) −31.3959 + 5.53594i −1.57571 + 0.277841i −0.892043 0.451951i \(-0.850728\pi\)
−0.683670 + 0.729791i \(0.739617\pi\)
\(398\) 4.52908i 0.227022i
\(399\) 1.96297 1.14644i 0.0982713 0.0573935i
\(400\) 1.90557 4.62264i 0.0952784 0.231132i
\(401\) 6.36197 + 36.0805i 0.317702 + 1.80177i 0.556655 + 0.830744i \(0.312085\pi\)
−0.238953 + 0.971031i \(0.576804\pi\)
\(402\) 19.5650 3.52875i 0.975812 0.175998i
\(403\) −2.41977 6.64826i −0.120537 0.331174i
\(404\) 4.45013 12.2266i 0.221402 0.608298i
\(405\) 11.6307 16.4234i 0.577934 0.816083i
\(406\) −1.13079 + 1.95859i −0.0561204 + 0.0972033i
\(407\) −3.82918 + 2.21078i −0.189805 + 0.109584i
\(408\) 0.0708135 0.0850654i 0.00350579 0.00421137i
\(409\) 16.0690 + 2.83340i 0.794562 + 0.140103i 0.556172 0.831067i \(-0.312269\pi\)
0.238389 + 0.971170i \(0.423381\pi\)
\(410\) −5.15530 + 10.4763i −0.254602 + 0.517390i
\(411\) −8.29758 14.2430i −0.409290 0.702553i
\(412\) −11.2320 9.42473i −0.553359 0.464323i
\(413\) −0.669739 + 1.84009i −0.0329557 + 0.0905451i
\(414\) 0.632252 0.765566i 0.0310735 0.0376255i
\(415\) −0.747316 + 2.57205i −0.0366843 + 0.126257i
\(416\) 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 \(0.129727\pi\)
−0.918095 + 0.396361i \(0.870273\pi\)
\(420\) 0.282562 + 1.13139i 0.0137876 + 0.0552062i
\(421\) −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
\(423\) 0.524519 + 2.84446i 0.0255030 + 0.138302i
\(424\) 4.47972 + 3.75893i 0.217555 + 0.182550i
\(425\) −0.194938 0.253156i −0.00945588 0.0122799i
\(426\) −0.0571268 14.6126i −0.00276780 0.707981i
\(427\) 0.919244 + 0.162087i 0.0444853 + 0.00784396i
\(428\) −9.15701 1.61463i −0.442621 0.0780460i
\(429\) 0.0279712 + 7.15480i 0.00135046 + 0.345437i
\(430\) −0.809408 12.1905i −0.0390331 0.587879i
\(431\) 0.498544 + 0.418328i 0.0240140 + 0.0201502i 0.654716 0.755875i \(-0.272788\pi\)
−0.630702 + 0.776025i \(0.717233\pi\)
\(432\) −4.90329 1.71980i −0.235910 0.0827440i
\(433\) 2.08615 0.759297i 0.100254 0.0364895i −0.291406 0.956599i \(-0.594123\pi\)
0.391660 + 0.920110i \(0.371901\pi\)
\(434\) −0.451447 0.538014i −0.0216702 0.0258255i
\(435\) −28.2238 + 7.04883i −1.35323 + 0.337966i
\(436\) 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 \(0.431804\pi\)
\(440\) 0.849694 2.92441i 0.0405075 0.139416i
\(441\) 15.9823 + 13.1992i 0.761061 + 0.628531i
\(442\) 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 \(-0.578633\pi\)
\(444\) −2.83061 4.85880i −0.134335 0.230588i
\(445\) −26.9287 13.2513i −1.27654 0.628174i
\(446\) 11.9722 + 2.11102i 0.566900 + 0.0999597i
\(447\) 18.0085 21.6329i 0.851774 1.02320i
\(448\) 0.260757 0.150548i 0.0123196 0.00711273i
\(449\) 19.7245 34.1638i 0.930855 1.61229i 0.148992 0.988838i \(-0.452397\pi\)
0.781863 0.623450i \(-0.214270\pi\)
\(450\) −7.93873 + 12.7270i −0.374235 + 0.599957i
\(451\) −2.43229 + 6.68267i −0.114532 + 0.314675i
\(452\) 3.74821 + 10.2981i 0.176301 + 0.484384i
\(453\) −20.6374 + 3.72218i −0.969631 + 0.174883i
\(454\) 4.29785 + 24.3743i 0.201708 + 1.14394i
\(455\) 1.13598 + 1.69699i 0.0532554 + 0.0795559i
\(456\) −0.0377211 7.54974i −0.00176645 0.353549i
\(457\) 20.8281i 0.974295i −0.873320 0.487148i \(-0.838037\pi\)
0.873320 0.487148i \(-0.161963\pi\)
\(458\) 5.23122 0.922404i 0.244439 0.0431011i
\(459\) −0.251843 + 0.216405i −0.0117550 + 0.0101009i
\(460\) −0.437096 + 0.597187i −0.0203797 + 0.0278440i
\(461\) 3.47801 9.55575i 0.161987 0.445056i −0.831971 0.554820i \(-0.812787\pi\)
0.993958 + 0.109764i \(0.0350095\pi\)
\(462\) 0.245531 + 0.666472i 0.0114231 + 0.0310071i
\(463\) 21.1384 + 12.2042i 0.982383 + 0.567179i 0.902989 0.429664i \(-0.141368\pi\)
0.0793943 + 0.996843i \(0.474701\pi\)
\(464\) 3.75559 + 6.50487i 0.174349 + 0.301981i
\(465\) 0.940756 8.98488i 0.0436265 0.416664i
\(466\) 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 \(0.901030\pi\)
\(468\) −9.09905 + 0.0711453i −0.420604 + 0.00328869i
\(469\) 2.22148 2.64746i 0.102578 0.122248i
\(470\) −0.514201 2.09366i −0.0237183 0.0965734i
\(471\) −25.9509 4.47131i −1.19576 0.206027i
\(472\) 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
\(475\) −21.2909 4.65790i −0.976895 0.213719i
\(476\) 0.0192409i 0.000881904i
\(477\) −11.3815 13.3506i −0.521125 0.611282i
\(478\) −7.86294 + 6.59779i −0.359643 + 0.301776i
\(479\) −10.5719 29.0461i −0.483043 1.32715i −0.906872 0.421407i \(-0.861536\pi\)
0.423829 0.905742i \(-0.360686\pi\)
\(480\) 3.72337 + 1.06607i 0.169948 + 0.0486591i
\(481\) −7.54336 6.32963i −0.343948 0.288606i
\(482\) −2.79945 + 4.84879i −0.127511 + 0.220856i
\(483\) −0.000674771 0.172601i −3.07032e−5 0.00785362i
\(484\) −1.58804 + 9.00623i −0.0721837 + 0.409374i
\(485\) 6.32425 + 14.3399i 0.287169 + 0.651141i
\(486\) 13.6498 + 7.52887i 0.619166 + 0.341517i
\(487\) −19.2347 + 33.3156i −0.871609 + 1.50967i −0.0112782 + 0.999936i \(0.503590\pi\)
−0.860331 + 0.509735i \(0.829743\pi\)
\(488\) 1.99270 2.37480i 0.0902052 0.107502i
\(489\) −1.87717 2.21945i −0.0848888 0.100367i
\(490\) −12.4671 9.12500i −0.563207 0.412226i
\(491\) 9.08306 + 10.8248i 0.409913 + 0.488515i 0.931016 0.364979i \(-0.118924\pi\)
−0.521103 + 0.853494i \(0.674479\pi\)
\(492\) −8.51085 3.06007i −0.383699 0.137959i
\(493\) 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
\(498\) −2.04457 0.352277i −0.0916194 0.0157859i
\(499\) 2.10380 + 0.765722i 0.0941792 + 0.0342784i 0.388680 0.921373i \(-0.372931\pi\)
−0.294501 + 0.955651i \(0.595153\pi\)
\(500\) 5.35262 9.81577i 0.239377 0.438975i
\(501\) −19.9961 + 11.6492i −0.893361 + 0.520450i
\(502\) −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 \(-0.235033\pi\)
\(504\) −0.846372 + 0.315570i −0.0377004 + 0.0140566i
\(505\) 12.8459 26.1047i 0.571634 1.16164i
\(506\) −0.225373 + 0.390358i −0.0100191 + 0.0173535i
\(507\) 6.17641 2.27541i 0.274304 0.101055i
\(508\) 9.52613 + 3.46723i 0.422654 + 0.153833i
\(509\) 33.7020 12.2665i 1.49382 0.543704i 0.539364 0.842073i \(-0.318665\pi\)
0.954451 + 0.298368i \(0.0964424\pi\)
\(510\) 0.177964 0.171994i 0.00788040 0.00761604i
\(511\) 0.527513 + 2.99168i 0.0233358 + 0.132344i
\(512\) 1.00000i 0.0441942i
\(513\) −3.64688 + 22.3540i −0.161014 + 0.986952i
\(514\) 28.6727 1.26470
\(515\) −22.6920 23.6641i −0.999927 1.04276i
\(516\) 9.31325 1.67975i 0.409993 0.0739467i
\(517\) −0.449100 1.23389i −0.0197514 0.0542665i
\(518\) −0.918573 0.334333i −0.0403598 0.0146898i
\(519\) 5.62784 + 15.2763i 0.247035 + 0.670555i
\(520\) 6.76734 0.449328i 0.296768 0.0197043i
\(521\) 7.48895 + 12.9712i 0.328097 + 0.568280i 0.982134 0.188182i \(-0.0602594\pi\)
−0.654037 + 0.756462i \(0.726926\pi\)
\(522\) −7.87225 21.1137i −0.344559 0.924121i
\(523\) −4.94711 + 28.0565i −0.216322 + 1.22682i 0.662276 + 0.749260i \(0.269591\pi\)
−0.878598 + 0.477563i \(0.841520\pi\)
\(524\) 8.41127 4.85625i 0.367448 0.212146i
\(525\) 0.354849 + 2.58331i 0.0154869 + 0.112745i
\(526\) −1.31785 + 1.57055i −0.0574609 + 0.0684792i
\(527\) −0.0509806 + 0.140068i −0.00222075 + 0.00610146i
\(528\) 2.32466 + 0.400537i 0.101168 + 0.0174311i
\(529\) −17.5351 + 14.7137i −0.762396 + 0.639726i
\(530\) 9.05040 + 9.43811i 0.393124 + 0.409965i
\(531\) −9.88710 16.8199i −0.429063 0.729920i
\(532\) −0.844717 1.00448i −0.0366231 0.0435496i
\(533\) −15.8380 −0.686020
\(534\) 7.86569 21.8765i 0.340381 0.946690i
\(535\) −19.9659 5.80113i −0.863200 0.250805i
\(536\) −3.92574 10.7859i −0.169566 0.465879i
\(537\) −25.4456 + 21.5215i −1.09806 + 0.928720i
\(538\) −10.2411 + 12.2049i −0.441525 + 0.526189i
\(539\) −8.14928 4.70499i −0.351014 0.202658i
\(540\) −10.4845 5.00746i −0.451182 0.215487i
\(541\) 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
\(543\) 0.104913 + 26.8360i 0.00450226 + 1.15164i
\(544\) −0.0553414 0.0319514i −0.00237274 0.00136990i
\(545\) 2.95254 27.1727i 0.126473 1.16395i
\(546\) −1.20775 + 1.02150i −0.0516870 + 0.0437160i
\(547\) 42.1511 15.3418i 1.80225 0.655966i 0.804147 0.594431i \(-0.202623\pi\)
0.998105 0.0615348i \(-0.0195995\pi\)
\(548\) −7.29033 + 6.11732i −0.311428 + 0.261319i
\(549\) −7.07745 + 6.03361i −0.302058 + 0.257508i
\(550\) 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
\(555\) −5.11879 11.4848i −0.217280 0.487501i
\(556\) −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 \(-0.569507\pi\)
\(558\) 6.99749 0.0547132i 0.296227 0.00231619i
\(559\) 14.3520 8.28610i 0.607023 0.350465i
\(560\) 0.616023 0.271681i 0.0260317 0.0114806i
\(561\) 0.0964425 0.115852i 0.00407180 0.00489129i
\(562\) −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 \(0.976609\pi\)
\(564\) 1.56698 0.577283i 0.0659819 0.0243080i
\(565\) 5.84475 + 23.7980i 0.245890 + 1.00119i
\(566\) −7.27265 + 2.64703i −0.305692 + 0.111263i
\(567\) 2.66101 0.512236i 0.111752 0.0215119i
\(568\) −8.30847 + 1.46501i −0.348615 + 0.0614703i
\(569\) −19.4653 −0.816026 −0.408013 0.912976i \(-0.633778\pi\)
−0.408013 + 0.912976i \(0.633778\pi\)
\(570\) 1.73975 16.7921i 0.0728703 0.703342i
\(571\) −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
\(573\) −7.43639 + 1.34123i −0.310659 + 0.0560308i
\(574\) −1.47742 + 0.537736i −0.0616662 + 0.0224447i
\(575\) −1.11591 + 1.22196i −0.0465365 + 0.0509592i
\(576\) −0.497829 + 2.95841i −0.0207429 + 0.123267i
\(577\) 39.1212 + 22.5866i 1.62864 + 0.940294i 0.984500 + 0.175384i \(0.0561168\pi\)
0.644137 + 0.764910i \(0.277217\pi\)
\(578\) 14.7189 8.49796i 0.612225 0.353468i
\(579\) 25.1057 + 20.8995i 1.04336 + 0.868552i
\(580\) 6.77739 + 15.3674i 0.281416 + 0.638095i
\(581\) −0.312342 + 0.180331i −0.0129581 + 0.00748137i
\(582\) −10.4897 + 6.11101i −0.434810 + 0.253309i
\(583\) 6.10103 + 5.11937i 0.252679 + 0.212023i
\(584\) 9.48077 + 3.45072i 0.392317 + 0.142792i
\(585\) −20.2442 2.03968i −0.836996 0.0843305i
\(586\) 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
\(591\) −30.0727 10.8126i −1.23703 0.444772i
\(592\) −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 \(0.327375\pi\)
\(594\) −6.67790 2.34223i −0.273998 0.0961031i
\(595\) 0.00464755 0.0427721i 0.000190531 0.00175349i
\(596\) −14.0738 8.12553i −0.576486 0.332834i
\(597\) 7.84453 0.0306676i 0.321055 0.00125514i
\(598\) −0.988599 0.174317i −0.0404268 0.00712834i
\(599\) 0.282246 1.60070i 0.0115323 0.0654028i −0.978499 0.206254i \(-0.933873\pi\)
0.990031 + 0.140851i \(0.0449839\pi\)
\(600\) 8.01949 + 3.26921i 0.327394 + 0.133465i
\(601\) −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
\(603\) 6.24441 + 33.8634i 0.254292 + 1.37902i
\(604\) 4.14093 + 11.3771i 0.168492 + 0.462928i
\(605\) −5.70561 + 19.6371i −0.231966 + 0.798363i
\(606\) 21.2071 + 7.62501i 0.861481 + 0.309745i
\(607\) −35.4233 −1.43779 −0.718895 0.695119i \(-0.755352\pi\)
−0.718895 + 0.695119i \(0.755352\pi\)
\(608\) −4.29185 + 0.761580i −0.174058 + 0.0308862i
\(609\) −3.40001 1.94532i −0.137775 0.0788281i
\(610\) 5.00336 4.79782i 0.202580 0.194258i
\(611\) 2.24017 1.87973i 0.0906277 0.0760457i
\(612\) 0.147816 + 0.122076i 0.00597511 + 0.00493462i
\(613\) −3.55306 + 9.76196i −0.143507 + 0.394282i −0.990534 0.137268i \(-0.956168\pi\)
0.847027 + 0.531550i \(0.178390\pi\)
\(614\) 4.49641 5.35862i 0.181460 0.216256i
\(615\) −18.1803 8.85824i −0.733101 0.357199i
\(616\) 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 \(0.870958\pi\)
\(618\) 16.2479 19.5180i 0.653588 0.785129i
\(619\) −20.8777 36.1613i −0.839146 1.45344i −0.890610 0.454769i \(-0.849722\pi\)
0.0514634 0.998675i \(-0.483611\pi\)
\(620\) −5.20432 + 0.345549i −0.209010 + 0.0138776i
\(621\) 1.33027 + 1.08990i 0.0533819 + 0.0437362i
\(622\) −9.11406 3.31725i −0.365440 0.133009i
\(623\) −1.38221 3.79760i −0.0553771 0.152147i
\(624\) 0.932480 + 5.17008i 0.0373291 + 0.206969i
\(625\) 14.2698 20.5274i 0.570790 0.821096i
\(626\) −19.7851 −0.790771
\(627\) −0.0513732 10.2822i −0.00205165 0.410630i
\(628\) 15.2035i 0.606687i
\(629\) 0.0360257 + 0.204312i 0.00143644 + 0.00814645i
\(630\) −1.95770 + 0.497070i −0.0779965 + 0.0198037i
\(631\) 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
\(633\) −6.62639 17.9868i −0.263375 0.714909i
\(634\) −5.77521 + 10.0030i −0.229363 + 0.397268i
\(635\) 20.3389 + 10.0086i 0.807126 + 0.397179i
\(636\) −6.48028 + 7.78450i −0.256960 + 0.308676i
\(637\) 3.63911 20.6384i 0.144187 0.817724i
\(638\) 5.11482 + 8.85913i 0.202498 + 0.350736i
\(639\) 25.3091 0.197892i 1.00121 0.00782847i
\(640\) 0.241546 2.22298i 0.00954793 0.0878711i
\(641\) −5.88345 2.14140i −0.232382 0.0845803i 0.223204 0.974772i \(-0.428348\pi\)
−0.455587 + 0.890191i \(0.650570\pi\)
\(642\) 2.73459 15.8712i 0.107926 0.626387i
\(643\) −21.6550 25.8074i −0.853988 1.01774i −0.999597 0.0284009i \(-0.990958\pi\)
0.145609 0.989342i \(-0.453486\pi\)
\(644\) −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 \(0.444321\pi\)
\(648\) 2.94556 8.50433i 0.115712 0.334082i
\(649\) 5.69336 + 6.78508i 0.223484 + 0.266338i
\(650\) 15.1522 + 0.635773i 0.594319 + 0.0249371i
\(651\) 0.928803 0.785566i 0.0364027 0.0307888i
\(652\) −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 \(0.164012\pi\)
\(654\) 21.1716 0.0827687i 0.827874 0.00323651i
\(655\) 19.8711 8.76365i 0.776428 0.342424i
\(656\) −0.906739 + 5.14237i −0.0354022 + 0.200776i
\(657\) −26.3301 14.9284i −1.02724 0.582414i
\(658\) 0.145149 0.251406i 0.00565851 0.00980082i
\(659\) −3.04626 2.55612i −0.118665 0.0995721i 0.581524 0.813529i \(-0.302457\pi\)
−0.700189 + 0.713957i \(0.746901\pi\)
\(660\) 5.07094 + 1.45190i 0.197386 + 0.0565151i
\(661\) −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
\(663\) 0.315914 + 0.113586i 0.0122691 + 0.00441133i
\(664\) 1.19783i 0.0464847i
\(665\) −1.63517 2.43697i −0.0634090 0.0945017i
\(666\) 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
\(669\) −3.57530 + 20.7506i −0.138229 + 0.802264i
\(670\) −6.12157 24.9251i −0.236497 0.962940i
\(671\) 2.71390 3.23430i 0.104769 0.124859i
\(672\) 0.262521 + 0.450621i 0.0101270 + 0.0173831i
\(673\) −23.7354 41.1110i −0.914933 1.58471i −0.806999 0.590553i \(-0.798910\pi\)
−0.107935 0.994158i \(-0.534424\pi\)
\(674\) −3.93471 0.693795i −0.151559 0.0267240i
\(675\) −22.0974 13.6640i −0.850530 0.525927i
\(676\) −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 \(0.787661\pi\)
\(678\) −17.8114 + 6.56178i −0.684042 + 0.252004i
\(679\) −0.721791 + 1.98311i −0.0276998 + 0.0761046i
\(680\) −0.115305 0.0843949i −0.00442176 0.00323639i
\(681\) −42.1881 + 7.60908i −1.61665 + 0.291580i
\(682\) −3.12851 + 0.551641i −0.119797 + 0.0211234i
\(683\) 23.7348i 0.908186i 0.890954 + 0.454093i \(0.150037\pi\)
−0.890954 + 0.454093i \(0.849963\pi\)
\(684\) 13.0762 0.116456i 0.499980 0.00445280i
\(685\) −17.6839 + 11.8377i −0.675667 + 0.452297i
\(686\) −0.727247 4.12442i −0.0277664 0.157471i
\(687\) 1.63306 + 9.05442i 0.0623052 + 0.345448i
\(688\) −1.86872 5.13426i −0.0712442 0.195742i
\(689\) −6.06649 + 16.6675i −0.231115 + 0.634982i
\(690\) −1.03731 0.753023i −0.0394897 0.0286671i
\(691\) −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
\(693\) −1.15269 + 0.429782i −0.0437872 + 0.0163261i
\(694\) 13.7846 + 2.43059i 0.523255 + 0.0922640i
\(695\) −25.8419 12.7166i −0.980240 0.482366i
\(696\) −11.2413 + 6.54887i −0.426099 + 0.248234i
\(697\) 0.255615 + 0.214486i 0.00968209 + 0.00812424i
\(698\) 2.35380 6.46702i 0.0890927 0.244780i
\(699\) −4.22531 + 24.5231i −0.159816 + 0.927550i
\(700\) 1.43503 0.455145i 0.0542391 0.0172029i
\(701\) −37.8763 + 6.67861i −1.43057 + 0.252248i −0.834642 0.550793i \(-0.814326\pi\)
−0.595925 + 0.803040i \(0.703214\pi\)
\(702\) −0.184839 15.7594i −0.00697628 0.594801i
\(703\) 10.8505 + 9.08456i 0.409234 + 0.342630i
\(704\) 1.36192i 0.0513294i
\(705\) 3.62282 0.904792i 0.136443 0.0340764i
\(706\) 10.2380 + 12.2012i 0.385312 + 0.459196i
\(707\) 3.68140 1.33992i 0.138453 0.0503928i
\(708\) −8.60068 + 7.27432i −0.323233 + 0.273386i
\(709\) −16.6759 13.9928i −0.626277 0.525509i 0.273492 0.961874i \(-0.411821\pi\)
−0.899770 + 0.436365i \(0.856266\pi\)
\(710\) −18.8234 + 1.24981i −0.706431 + 0.0469046i
\(711\) 37.7414 + 21.3983i 1.41541 + 0.802500i
\(712\) −13.2181 2.33071i −0.495369 0.0873470i
\(713\) 0.760267 + 0.134056i 0.0284722 + 0.00502042i
\(714\) 0.0333259 0.000130285i 0.00124719 4.87580e-6i
\(715\) 9.21659 0.611949i 0.344681 0.0228856i
\(716\) 14.7395 + 12.3679i 0.550841 + 0.462210i
\(717\) −11.4809 13.5742i −0.428761 0.506939i
\(718\) 20.2171 7.35844i 0.754497 0.274614i
\(719\) 21.3466 + 25.4399i 0.796094 + 0.948748i 0.999540 0.0303382i \(-0.00965843\pi\)
−0.203446 + 0.979086i \(0.565214\pi\)
\(720\) −1.82126 + 6.45624i −0.0678742 + 0.240610i
\(721\) 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
\(725\) 11.3541 + 35.7985i 0.421681 + 1.32952i
\(726\) −15.6099 2.68956i −0.579337 0.0998191i
\(727\) 11.6972 32.1379i 0.433827 1.19193i −0.509618 0.860401i \(-0.670213\pi\)
0.943445 0.331529i \(-0.107564\pi\)
\(728\) 0.699596 + 0.587031i 0.0259288 + 0.0217568i
\(729\) −12.9479 + 23.6929i −0.479550 + 0.877514i
\(730\) 20.2421 + 9.96093i 0.749194 + 0.368671i
\(731\) −0.343845 0.0606292i −0.0127176 0.00224245i
\(732\) 4.12674 + 3.43535i 0.152529 + 0.126974i
\(733\) 43.0329 24.8451i 1.58946 0.917673i 0.596061 0.802939i \(-0.296732\pi\)
0.993396 0.114734i \(-0.0366016\pi\)
\(734\) −1.11793 + 1.93631i −0.0412635 + 0.0714705i
\(735\) 15.7204 21.6553i 0.579857 0.798769i
\(736\) −0.113196 + 0.311004i −0.00417247 + 0.0114638i
\(737\) −5.34655 14.6895i −0.196943 0.541096i
\(738\) 5.24252 14.7618i 0.192980 0.543390i
\(739\) 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
\(741\) 21.4791 7.93950i 0.789053 0.291665i
\(742\) 1.76077i 0.0646399i
\(743\) 29.8429 5.26211i 1.09483 0.193048i 0.403065 0.915171i \(-0.367945\pi\)
0.691765 + 0.722123i \(0.256834\pi\)
\(744\) −0.717109 3.97597i −0.0262905 0.145766i
\(745\) −29.3232 21.4624i −1.07432 0.786321i
\(746\) −5.80836 + 15.9583i −0.212659 + 0.584277i
\(747\) 0.596312 3.54366i 0.0218179 0.129656i
\(748\) −0.0753706 0.0435153i −0.00275582 0.00159108i
\(749\) −1.39984 2.42459i −0.0511489 0.0885925i
\(750\) 17.0375 + 9.20448i 0.622123 + 0.336100i
\(751\) 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
\(753\) 7.74177 4.51016i 0.282126 0.164359i
\(754\) −14.6441 + 17.4522i −0.533308 + 0.635572i
\(755\) 6.45713 + 26.2914i 0.234999 + 0.956840i
\(756\) −0.552310 1.46381i −0.0200873 0.0532383i
\(757\) 18.8437 + 22.4570i 0.684886 + 0.816215i 0.990727 0.135868i \(-0.0433822\pi\)
−0.305841 + 0.952082i \(0.598938\pi\)
\(758\) 5.49306 + 31.1527i 0.199517 + 1.13152i
\(759\) −0.677641 0.387712i −0.0245968 0.0140731i
\(760\) −9.72467 + 0.656302i −0.352751 + 0.0238066i
\(761\) 5.20717i 0.188760i 0.995536 + 0.0943799i \(0.0300868\pi\)
−0.995536 + 0.0943799i \(0.969913\pi\)
\(762\) −5.94086 + 16.5231i −0.215215 + 0.598568i
\(763\) 2.81939 2.36575i 0.102069 0.0856458i
\(764\) 1.49212 + 4.09957i 0.0539831 + 0.148317i
\(765\) 0.299106 + 0.307077i 0.0108142 + 0.0111024i
\(766\) 4.66711 + 3.91617i 0.168629 + 0.141497i
\(767\) −9.86295 + 17.0831i −0.356131 + 0.616836i
\(768\) 1.73204 0.00677128i 0.0624995 0.000244337i
\(769\) 1.80555 10.2398i 0.0651097 0.369256i −0.934791 0.355197i \(-0.884414\pi\)
0.999901 0.0140585i \(-0.00447511\pi\)
\(770\) 0.838975 0.370009i 0.0302345 0.0133342i
\(771\) 0.194151 + 49.6622i 0.00699217 + 1.78854i
\(772\) 9.42993 16.3331i 0.339390 0.587842i
\(773\) −12.1616 + 14.4936i −0.437421 + 0.521298i −0.939048 0.343786i \(-0.888290\pi\)
0.501627