Properties

Label 570.2.bi.a.347.33
Level $570$
Weight $2$
Character 570.347
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
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.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 347.33
Character \(\chi\) \(=\) 570.347
Dual form 570.2.bi.a.23.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +O(q^{10})\) \(q+(0.422618 - 0.906308i) q^{2} +(0.651562 + 1.60483i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-2.12425 + 0.698252i) q^{5} +(1.72983 + 0.0877136i) q^{6} +(0.771887 - 2.88072i) q^{7} +(-0.965926 + 0.258819i) q^{8} +(-2.15094 + 2.09129i) q^{9} +(-0.264916 + 2.22032i) q^{10} +(4.54257 + 2.62265i) q^{11} +(0.810553 - 1.53069i) q^{12} +(5.15970 + 3.61286i) q^{13} +(-2.28461 - 1.91701i) q^{14} +(-2.50465 - 2.95410i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-0.850862 + 1.82468i) q^{17} +(0.986324 + 2.83323i) q^{18} +(3.51804 + 2.57359i) q^{19} +(1.90033 + 1.17844i) q^{20} +(5.12599 - 0.638222i) q^{21} +(4.29671 - 3.00859i) q^{22} +(-3.36921 - 0.294768i) q^{23} +(-1.04472 - 1.38151i) q^{24} +(4.02489 - 2.96653i) q^{25} +(5.45495 - 3.14942i) q^{26} +(-4.75762 - 2.08928i) q^{27} +(-2.70292 + 1.26039i) q^{28} +(4.14994 + 1.51045i) q^{29} +(-3.73584 + 1.02153i) q^{30} +(-1.72653 - 2.99044i) q^{31} +(0.819152 + 0.573576i) q^{32} +(-1.24914 + 8.99886i) q^{33} +(1.29413 + 1.54229i) q^{34} +(0.371788 + 6.65835i) q^{35} +(2.98461 + 0.303459i) q^{36} +(3.88883 + 3.88883i) q^{37} +(3.81926 - 2.10078i) q^{38} +(-2.43615 + 10.6344i) q^{39} +(1.87115 - 1.22426i) q^{40} +(-8.88378 - 1.56645i) q^{41} +(1.58791 - 4.91545i) q^{42} +(-5.74981 + 0.503043i) q^{43} +(-0.910838 - 5.16562i) q^{44} +(3.10888 - 5.94431i) q^{45} +(-1.69104 + 2.92897i) q^{46} +(8.51881 - 3.97239i) q^{47} +(-1.69359 + 0.362988i) q^{48} +(-1.64056 - 0.947179i) q^{49} +(-0.987595 - 4.90150i) q^{50} +(-3.48268 - 0.176595i) q^{51} +(-0.548980 - 6.27487i) q^{52} +(10.5832 + 0.925908i) q^{53} +(-3.90418 + 3.42890i) q^{54} +(-11.4808 - 2.39932i) q^{55} +2.98234i q^{56} +(-1.83795 + 7.32270i) q^{57} +(3.12278 - 3.12278i) q^{58} +(-4.19415 + 1.52654i) q^{59} +(-0.653012 + 3.81754i) q^{60} +(-8.74677 + 7.33941i) q^{61} +(-3.43992 + 0.300954i) q^{62} +(4.36413 + 7.81048i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-13.4832 - 4.07186i) q^{65} +(7.62783 + 4.93519i) q^{66} +(-4.04485 - 8.67420i) q^{67} +(1.94471 - 0.521083i) q^{68} +(-1.72220 - 5.59906i) q^{69} +(6.19163 + 2.47698i) q^{70} +(1.24794 - 1.48724i) q^{71} +(1.53638 - 2.57673i) q^{72} +(-7.61738 - 10.8787i) q^{73} +(5.16797 - 1.88099i) q^{74} +(7.38322 + 4.52637i) q^{75} +(-0.289865 - 4.34925i) q^{76} +(11.0615 - 11.0615i) q^{77} +(8.60851 + 6.70221i) q^{78} +(6.95672 + 1.22666i) q^{79} +(-0.318772 - 2.21323i) q^{80} +(0.253044 - 8.99644i) q^{81} +(-5.17413 + 7.38943i) q^{82} +(0.902946 - 3.36984i) q^{83} +(-3.78383 - 3.51649i) q^{84} +(0.533359 - 4.47020i) q^{85} +(-1.97406 + 5.42369i) q^{86} +(0.279924 + 7.64408i) q^{87} +(-5.06658 - 1.35759i) q^{88} +(-1.58210 - 8.97253i) q^{89} +(-4.07351 - 5.32978i) q^{90} +(14.3904 - 12.0749i) q^{91} +(1.93988 + 2.77044i) q^{92} +(3.67419 - 4.71924i) q^{93} -9.39947i q^{94} +(-9.27022 - 3.01048i) q^{95} +(-0.386763 + 1.68832i) q^{96} +(-11.9774 - 5.58514i) q^{97} +(-1.55177 + 1.08656i) q^{98} +(-15.2555 + 3.85866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.422618 0.906308i 0.298836 0.640856i
\(3\) 0.651562 + 1.60483i 0.376179 + 0.926547i
\(4\) −0.642788 0.766044i −0.321394 0.383022i
\(5\) −2.12425 + 0.698252i −0.949994 + 0.312268i
\(6\) 1.72983 + 0.0877136i 0.706199 + 0.0358089i
\(7\) 0.771887 2.88072i 0.291746 1.08881i −0.652022 0.758200i \(-0.726079\pi\)
0.943768 0.330610i \(-0.107254\pi\)
\(8\) −0.965926 + 0.258819i −0.341506 + 0.0915064i
\(9\) −2.15094 + 2.09129i −0.716978 + 0.697095i
\(10\) −0.264916 + 2.22032i −0.0837738 + 0.702127i
\(11\) 4.54257 + 2.62265i 1.36964 + 0.790760i 0.990881 0.134737i \(-0.0430188\pi\)
0.378755 + 0.925497i \(0.376352\pi\)
\(12\) 0.810553 1.53069i 0.233986 0.441871i
\(13\) 5.15970 + 3.61286i 1.43104 + 1.00203i 0.994762 + 0.102219i \(0.0325941\pi\)
0.436283 + 0.899810i \(0.356295\pi\)
\(14\) −2.28461 1.91701i −0.610587 0.512343i
\(15\) −2.50465 2.95410i −0.646699 0.762745i
\(16\) −0.173648 + 0.984808i −0.0434120 + 0.246202i
\(17\) −0.850862 + 1.82468i −0.206364 + 0.442550i −0.982063 0.188554i \(-0.939620\pi\)
0.775698 + 0.631104i \(0.217398\pi\)
\(18\) 0.986324 + 2.83323i 0.232479 + 0.667798i
\(19\) 3.51804 + 2.57359i 0.807094 + 0.590423i
\(20\) 1.90033 + 1.17844i 0.424928 + 0.263508i
\(21\) 5.12599 0.638222i 1.11858 0.139272i
\(22\) 4.29671 3.00859i 0.916061 0.641433i
\(23\) −3.36921 0.294768i −0.702530 0.0614634i −0.269707 0.962942i \(-0.586927\pi\)
−0.432823 + 0.901479i \(0.642482\pi\)
\(24\) −1.04472 1.38151i −0.213253 0.281999i
\(25\) 4.02489 2.96653i 0.804978 0.593305i
\(26\) 5.45495 3.14942i 1.06980 0.617652i
\(27\) −4.75762 2.08928i −0.915604 0.402081i
\(28\) −2.70292 + 1.26039i −0.510804 + 0.238192i
\(29\) 4.14994 + 1.51045i 0.770624 + 0.280484i 0.697257 0.716821i \(-0.254403\pi\)
0.0733667 + 0.997305i \(0.476626\pi\)
\(30\) −3.73584 + 1.02153i −0.682067 + 0.186505i
\(31\) −1.72653 2.99044i −0.310094 0.537099i 0.668288 0.743902i \(-0.267027\pi\)
−0.978382 + 0.206804i \(0.933694\pi\)
\(32\) 0.819152 + 0.573576i 0.144807 + 0.101395i
\(33\) −1.24914 + 8.99886i −0.217447 + 1.56650i
\(34\) 1.29413 + 1.54229i 0.221942 + 0.264500i
\(35\) 0.371788 + 6.65835i 0.0628436 + 1.12547i
\(36\) 2.98461 + 0.303459i 0.497435 + 0.0505765i
\(37\) 3.88883 + 3.88883i 0.639320 + 0.639320i 0.950388 0.311068i \(-0.100687\pi\)
−0.311068 + 0.950388i \(0.600687\pi\)
\(38\) 3.81926 2.10078i 0.619565 0.340791i
\(39\) −2.43615 + 10.6344i −0.390097 + 1.70287i
\(40\) 1.87115 1.22426i 0.295855 0.193572i
\(41\) −8.88378 1.56645i −1.38741 0.244638i −0.570452 0.821331i \(-0.693232\pi\)
−0.816961 + 0.576692i \(0.804343\pi\)
\(42\) 1.58791 4.91545i 0.245020 0.758470i
\(43\) −5.74981 + 0.503043i −0.876838 + 0.0767134i −0.516681 0.856178i \(-0.672833\pi\)
−0.360157 + 0.932892i \(0.617277\pi\)
\(44\) −0.910838 5.16562i −0.137314 0.778747i
\(45\) 3.10888 5.94431i 0.463445 0.886126i
\(46\) −1.69104 + 2.92897i −0.249331 + 0.431853i
\(47\) 8.51881 3.97239i 1.24260 0.579432i 0.313612 0.949551i \(-0.398461\pi\)
0.928984 + 0.370119i \(0.120683\pi\)
\(48\) −1.69359 + 0.362988i −0.244448 + 0.0523928i
\(49\) −1.64056 0.947179i −0.234366 0.135311i
\(50\) −0.987595 4.90150i −0.139667 0.693176i
\(51\) −3.48268 0.176595i −0.487673 0.0247282i
\(52\) −0.548980 6.27487i −0.0761298 0.870168i
\(53\) 10.5832 + 0.925908i 1.45371 + 0.127183i 0.786456 0.617646i \(-0.211914\pi\)
0.667255 + 0.744830i \(0.267469\pi\)
\(54\) −3.90418 + 3.42890i −0.531292 + 0.466614i
\(55\) −11.4808 2.39932i −1.54808 0.323524i
\(56\) 2.98234i 0.398532i
\(57\) −1.83795 + 7.32270i −0.243443 + 0.969915i
\(58\) 3.12278 3.12278i 0.410041 0.410041i
\(59\) −4.19415 + 1.52654i −0.546031 + 0.198739i −0.600282 0.799788i \(-0.704945\pi\)
0.0542510 + 0.998527i \(0.482723\pi\)
\(60\) −0.653012 + 3.81754i −0.0843034 + 0.492842i
\(61\) −8.74677 + 7.33941i −1.11991 + 0.939715i −0.998600 0.0529000i \(-0.983154\pi\)
−0.121309 + 0.992615i \(0.538709\pi\)
\(62\) −3.43992 + 0.300954i −0.436870 + 0.0382212i
\(63\) 4.36413 + 7.81048i 0.549829 + 0.984028i
\(64\) 0.866025 0.500000i 0.108253 0.0625000i
\(65\) −13.4832 4.07186i −1.67239 0.505052i
\(66\) 7.62783 + 4.93519i 0.938921 + 0.607480i
\(67\) −4.04485 8.67420i −0.494157 1.05972i −0.982361 0.186993i \(-0.940126\pi\)
0.488204 0.872729i \(-0.337652\pi\)
\(68\) 1.94471 0.521083i 0.235831 0.0631906i
\(69\) −1.72220 5.59906i −0.207328 0.674048i
\(70\) 6.19163 + 2.47698i 0.740042 + 0.296056i
\(71\) 1.24794 1.48724i 0.148104 0.176503i −0.686892 0.726759i \(-0.741026\pi\)
0.834996 + 0.550256i \(0.185470\pi\)
\(72\) 1.53638 2.57673i 0.181064 0.303671i
\(73\) −7.61738 10.8787i −0.891547 1.27326i −0.961246 0.275692i \(-0.911093\pi\)
0.0696993 0.997568i \(-0.477796\pi\)
\(74\) 5.16797 1.88099i 0.600764 0.218660i
\(75\) 7.38322 + 4.52637i 0.852541 + 0.522660i
\(76\) −0.289865 4.34925i −0.0332498 0.498893i
\(77\) 11.0615 11.0615i 1.26057 1.26057i
\(78\) 8.60851 + 6.70221i 0.974721 + 0.758876i
\(79\) 6.95672 + 1.22666i 0.782692 + 0.138010i 0.550695 0.834707i \(-0.314363\pi\)
0.231997 + 0.972716i \(0.425474\pi\)
\(80\) −0.318772 2.21323i −0.0356398 0.247447i
\(81\) 0.253044 8.99644i 0.0281160 0.999605i
\(82\) −5.17413 + 7.38943i −0.571388 + 0.816026i
\(83\) 0.902946 3.36984i 0.0991112 0.369888i −0.898499 0.438975i \(-0.855342\pi\)
0.997611 + 0.0690866i \(0.0220085\pi\)
\(84\) −3.78383 3.51649i −0.412849 0.383681i
\(85\) 0.533359 4.47020i 0.0578509 0.484861i
\(86\) −1.97406 + 5.42369i −0.212869 + 0.584852i
\(87\) 0.279924 + 7.64408i 0.0300110 + 0.819532i
\(88\) −5.06658 1.35759i −0.540099 0.144719i
\(89\) −1.58210 8.97253i −0.167702 0.951087i −0.946234 0.323482i \(-0.895147\pi\)
0.778532 0.627605i \(-0.215965\pi\)
\(90\) −4.07351 5.32978i −0.429385 0.561808i
\(91\) 14.3904 12.0749i 1.50852 1.26580i
\(92\) 1.93988 + 2.77044i 0.202247 + 0.288838i
\(93\) 3.67419 4.71924i 0.380996 0.489362i
\(94\) 9.39947i 0.969481i
\(95\) −9.27022 3.01048i −0.951105 0.308869i
\(96\) −0.386763 + 1.68832i −0.0394738 + 0.172313i
\(97\) −11.9774 5.58514i −1.21612 0.567085i −0.294674 0.955598i \(-0.595211\pi\)
−0.921443 + 0.388513i \(0.872989\pi\)
\(98\) −1.55177 + 1.08656i −0.156752 + 0.109759i
\(99\) −15.2555 + 3.85866i −1.53324 + 0.387810i
\(100\) −4.85964 1.17640i −0.485964 0.117640i
\(101\) −2.30532 + 0.406489i −0.229387 + 0.0404472i −0.287160 0.957883i \(-0.592711\pi\)
0.0577728 + 0.998330i \(0.481600\pi\)
\(102\) −1.63189 + 3.08175i −0.161582 + 0.305139i
\(103\) −0.604862 2.25738i −0.0595989 0.222426i 0.929703 0.368311i \(-0.120064\pi\)
−0.989302 + 0.145885i \(0.953397\pi\)
\(104\) −5.91897 2.15433i −0.580403 0.211249i
\(105\) −10.4432 + 4.93498i −1.01916 + 0.481604i
\(106\) 5.31180 9.20031i 0.515928 0.893613i
\(107\) 10.1828 + 2.72847i 0.984407 + 0.263771i 0.714900 0.699227i \(-0.246472\pi\)
0.269508 + 0.962998i \(0.413139\pi\)
\(108\) 1.45766 + 4.98751i 0.140263 + 0.479923i
\(109\) −3.14952 + 3.75346i −0.301670 + 0.359516i −0.895490 0.445082i \(-0.853175\pi\)
0.593820 + 0.804598i \(0.297619\pi\)
\(110\) −7.02653 + 9.39118i −0.669954 + 0.895414i
\(111\) −3.70709 + 8.77471i −0.351861 + 0.832859i
\(112\) 2.70292 + 1.26039i 0.255402 + 0.119096i
\(113\) −6.59570 6.59570i −0.620472 0.620472i 0.325180 0.945652i \(-0.394575\pi\)
−0.945652 + 0.325180i \(0.894575\pi\)
\(114\) 5.85987 + 4.76046i 0.548827 + 0.445858i
\(115\) 7.36288 1.72640i 0.686592 0.160988i
\(116\) −1.51045 4.14994i −0.140242 0.385312i
\(117\) −18.6537 + 3.01938i −1.72454 + 0.279142i
\(118\) −0.389004 + 4.44633i −0.0358107 + 0.409318i
\(119\) 4.59962 + 3.85954i 0.421647 + 0.353804i
\(120\) 3.18389 + 2.20519i 0.290648 + 0.201305i
\(121\) 8.25664 + 14.3009i 0.750603 + 1.30008i
\(122\) 2.95522 + 11.0290i 0.267553 + 0.998521i
\(123\) −3.27445 15.2776i −0.295247 1.37753i
\(124\) −1.18102 + 3.24482i −0.106058 + 0.291393i
\(125\) −6.47849 + 9.11203i −0.579454 + 0.815005i
\(126\) 8.92306 0.654396i 0.794929 0.0582983i
\(127\) 5.77456 8.24692i 0.512409 0.731796i −0.476686 0.879074i \(-0.658162\pi\)
0.989095 + 0.147277i \(0.0470510\pi\)
\(128\) −0.0871557 0.996195i −0.00770355 0.0880520i
\(129\) −4.55365 8.89969i −0.400927 0.783574i
\(130\) −9.38860 + 10.4991i −0.823435 + 0.920831i
\(131\) 6.58150 + 18.0825i 0.575028 + 1.57988i 0.796454 + 0.604699i \(0.206707\pi\)
−0.221426 + 0.975177i \(0.571071\pi\)
\(132\) 7.69646 4.82746i 0.669891 0.420176i
\(133\) 10.1293 8.14797i 0.878325 0.706518i
\(134\) −9.57092 −0.826802
\(135\) 11.5652 + 1.11613i 0.995375 + 0.0960612i
\(136\) 0.349608 1.98272i 0.0299786 0.170017i
\(137\) −0.294698 + 3.36841i −0.0251777 + 0.287783i 0.973159 + 0.230133i \(0.0739162\pi\)
−0.998337 + 0.0576496i \(0.981639\pi\)
\(138\) −5.80231 0.805424i −0.493925 0.0685623i
\(139\) −5.82449 + 1.02701i −0.494027 + 0.0871102i −0.415111 0.909771i \(-0.636257\pi\)
−0.0789163 + 0.996881i \(0.525146\pi\)
\(140\) 4.86161 4.56471i 0.410881 0.385788i
\(141\) 11.9255 + 11.0830i 1.00431 + 0.933354i
\(142\) −0.820494 1.75955i −0.0688543 0.147659i
\(143\) 13.9630 + 29.9438i 1.16765 + 2.50403i
\(144\) −1.68601 2.48141i −0.140501 0.206784i
\(145\) −9.87019 0.310881i −0.819675 0.0258172i
\(146\) −13.0787 + 2.30613i −1.08240 + 0.190857i
\(147\) 0.451131 3.24996i 0.0372086 0.268052i
\(148\) 0.479325 5.47871i 0.0394003 0.450347i
\(149\) 1.52277 8.63608i 0.124750 0.707495i −0.856705 0.515806i \(-0.827492\pi\)
0.981456 0.191689i \(-0.0613964\pi\)
\(150\) 7.22257 4.77854i 0.589720 0.390166i
\(151\) 3.43774 0.279759 0.139880 0.990169i \(-0.455328\pi\)
0.139880 + 0.990169i \(0.455328\pi\)
\(152\) −4.06426 1.57537i −0.329655 0.127779i
\(153\) −1.98578 5.70416i −0.160541 0.461154i
\(154\) −5.35032 14.6999i −0.431141 1.18455i
\(155\) 5.75566 + 5.14689i 0.462306 + 0.413408i
\(156\) 9.71238 4.96948i 0.777613 0.397877i
\(157\) −1.32588 15.1548i −0.105816 1.20949i −0.844545 0.535485i \(-0.820129\pi\)
0.738729 0.674003i \(-0.235427\pi\)
\(158\) 4.05176 5.78652i 0.322341 0.460351i
\(159\) 5.40967 + 17.5874i 0.429015 + 1.39477i
\(160\) −2.14059 0.646446i −0.169228 0.0511060i
\(161\) −3.44980 + 9.47824i −0.271882 + 0.746990i
\(162\) −8.04660 4.03140i −0.632201 0.316736i
\(163\) 1.29378 + 4.82847i 0.101337 + 0.378195i 0.997904 0.0647136i \(-0.0206134\pi\)
−0.896567 + 0.442908i \(0.853947\pi\)
\(164\) 4.51041 + 7.81227i 0.352204 + 0.610036i
\(165\) −3.62998 19.9881i −0.282594 1.55607i
\(166\) −2.67251 2.24250i −0.207427 0.174052i
\(167\) 1.27084 14.5258i 0.0983405 1.12404i −0.773350 0.633980i \(-0.781420\pi\)
0.871690 0.490057i \(-0.163024\pi\)
\(168\) −4.78614 + 1.94318i −0.369259 + 0.149919i
\(169\) 9.12350 + 25.0666i 0.701808 + 1.92820i
\(170\) −3.82597 2.37257i −0.293438 0.181968i
\(171\) −12.9492 + 1.82159i −0.990250 + 0.139301i
\(172\) 4.08126 + 4.08126i 0.311193 + 0.311193i
\(173\) 1.15563 + 0.538881i 0.0878613 + 0.0409704i 0.466052 0.884757i \(-0.345676\pi\)
−0.378191 + 0.925728i \(0.623454\pi\)
\(174\) 7.04619 + 2.97683i 0.534171 + 0.225673i
\(175\) −5.43897 13.8844i −0.411148 1.04956i
\(176\) −3.37162 + 4.01814i −0.254145 + 0.302879i
\(177\) −5.18258 5.73624i −0.389547 0.431162i
\(178\) −8.80050 2.35809i −0.659625 0.176746i
\(179\) −2.67508 + 4.63337i −0.199945 + 0.346314i −0.948510 0.316747i \(-0.897410\pi\)
0.748566 + 0.663061i \(0.230743\pi\)
\(180\) −6.55196 + 1.43939i −0.488354 + 0.107286i
\(181\) −15.1461 5.51273i −1.12580 0.409758i −0.289034 0.957319i \(-0.593334\pi\)
−0.836766 + 0.547561i \(0.815556\pi\)
\(182\) −4.86199 18.1452i −0.360395 1.34501i
\(183\) −17.4775 9.25496i −1.29198 0.684147i
\(184\) 3.33070 0.587293i 0.245543 0.0432958i
\(185\) −10.9762 5.54547i −0.806989 0.407711i
\(186\) −2.72430 5.32439i −0.199755 0.390403i
\(187\) −8.65061 + 6.05722i −0.632595 + 0.442948i
\(188\) −8.51881 3.97239i −0.621298 0.289716i
\(189\) −9.69096 + 12.0927i −0.704914 + 0.879613i
\(190\) −6.64619 + 7.12939i −0.482165 + 0.517220i
\(191\) 21.6744i 1.56830i 0.620569 + 0.784152i \(0.286902\pi\)
−0.620569 + 0.784152i \(0.713098\pi\)
\(192\) 1.36668 + 1.06404i 0.0986318 + 0.0767904i
\(193\) 3.22893 + 4.61139i 0.232423 + 0.331935i 0.918374 0.395713i \(-0.129502\pi\)
−0.685951 + 0.727648i \(0.740614\pi\)
\(194\) −10.1237 + 8.49480i −0.726840 + 0.609891i
\(195\) −2.25051 24.2913i −0.161162 1.73953i
\(196\) 0.328952 + 1.86558i 0.0234966 + 0.133256i
\(197\) −13.6769 3.66471i −0.974438 0.261100i −0.263738 0.964594i \(-0.584955\pi\)
−0.710701 + 0.703494i \(0.751622\pi\)
\(198\) −2.95012 + 15.4569i −0.209656 + 1.09848i
\(199\) −1.09449 + 3.00709i −0.0775864 + 0.213167i −0.972422 0.233230i \(-0.925071\pi\)
0.894835 + 0.446396i \(0.147293\pi\)
\(200\) −3.11995 + 3.90716i −0.220614 + 0.276278i
\(201\) 11.2851 12.1431i 0.795991 0.856505i
\(202\) −0.605864 + 2.26112i −0.0426284 + 0.159092i
\(203\) 7.55448 10.7889i 0.530220 0.757233i
\(204\) 2.10335 + 2.78140i 0.147264 + 0.194737i
\(205\) 19.9652 2.87558i 1.39443 0.200840i
\(206\) −2.30150 0.405817i −0.160353 0.0282746i
\(207\) 7.86341 6.41196i 0.546545 0.445662i
\(208\) −4.45395 + 4.45395i −0.308826 + 0.308826i
\(209\) 9.23130 + 20.9173i 0.638542 + 1.44688i
\(210\) 0.0591012 + 11.5504i 0.00407837 + 0.797054i
\(211\) −6.54194 + 2.38107i −0.450366 + 0.163920i −0.557238 0.830353i \(-0.688139\pi\)
0.106872 + 0.994273i \(0.465916\pi\)
\(212\) −6.09345 8.70234i −0.418500 0.597679i
\(213\) 3.19987 + 1.03370i 0.219252 + 0.0708281i
\(214\) 6.77626 8.07564i 0.463216 0.552039i
\(215\) 11.8628 5.08341i 0.809036 0.346686i
\(216\) 5.13625 + 0.786723i 0.349478 + 0.0535297i
\(217\) −9.94730 + 2.66537i −0.675267 + 0.180937i
\(218\) 2.07074 + 4.44072i 0.140248 + 0.300763i
\(219\) 12.4953 19.3127i 0.844354 1.30503i
\(220\) 5.54176 + 10.3371i 0.373625 + 0.696926i
\(221\) −10.9825 + 6.34076i −0.738764 + 0.426526i
\(222\) 6.38591 + 7.06812i 0.428594 + 0.474381i
\(223\) 11.2959 0.988260i 0.756427 0.0661788i 0.297583 0.954696i \(-0.403819\pi\)
0.458844 + 0.888517i \(0.348264\pi\)
\(224\) 2.28461 1.91701i 0.152647 0.128086i
\(225\) −2.45342 + 14.7980i −0.163561 + 0.986533i
\(226\) −8.76520 + 3.19027i −0.583053 + 0.212214i
\(227\) 6.24355 6.24355i 0.414399 0.414399i −0.468869 0.883268i \(-0.655338\pi\)
0.883268 + 0.468869i \(0.155338\pi\)
\(228\) 6.79093 3.29899i 0.449740 0.218481i
\(229\) 9.89106i 0.653620i −0.945090 0.326810i \(-0.894026\pi\)
0.945090 0.326810i \(-0.105974\pi\)
\(230\) 1.54704 7.40264i 0.102009 0.488116i
\(231\) 24.9590 + 10.5445i 1.64218 + 0.693779i
\(232\) −4.39947 0.384903i −0.288839 0.0252701i
\(233\) −1.18431 13.5367i −0.0775865 0.886817i −0.930865 0.365363i \(-0.880945\pi\)
0.853279 0.521455i \(-0.174611\pi\)
\(234\) −5.14691 + 18.1821i −0.336464 + 1.18860i
\(235\) −15.3224 + 14.3866i −0.999521 + 0.938480i
\(236\) 3.86535 + 2.23166i 0.251613 + 0.145269i
\(237\) 2.56416 + 11.9636i 0.166560 + 0.777117i
\(238\) 5.44182 2.53756i 0.352741 0.164486i
\(239\) 7.13591 12.3598i 0.461583 0.799486i −0.537457 0.843291i \(-0.680615\pi\)
0.999040 + 0.0438055i \(0.0139482\pi\)
\(240\) 3.34415 1.95363i 0.215864 0.126106i
\(241\) 2.30887 + 13.0942i 0.148727 + 0.843475i 0.964298 + 0.264818i \(0.0853118\pi\)
−0.815571 + 0.578657i \(0.803577\pi\)
\(242\) 16.4504 1.43923i 1.05747 0.0925170i
\(243\) 14.6026 5.45564i 0.936757 0.349980i
\(244\) 11.2446 + 1.98273i 0.719863 + 0.126931i
\(245\) 4.14634 + 0.866521i 0.264900 + 0.0553600i
\(246\) −15.2300 3.48892i −0.971031 0.222445i
\(247\) 8.85400 + 25.9892i 0.563367 + 1.65365i
\(248\) 2.44168 + 2.44168i 0.155047 + 0.155047i
\(249\) 5.99633 0.746587i 0.380002 0.0473130i
\(250\) 5.52038 + 9.72242i 0.349139 + 0.614900i
\(251\) −12.7462 15.1904i −0.804534 0.958807i 0.195225 0.980759i \(-0.437456\pi\)
−0.999759 + 0.0219517i \(0.993012\pi\)
\(252\) 3.17796 8.36360i 0.200193 0.526857i
\(253\) −14.5318 10.1753i −0.913608 0.639715i
\(254\) −5.03382 8.71883i −0.315850 0.547068i
\(255\) 7.52140 2.05666i 0.471009 0.128793i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −3.30755 + 1.54234i −0.206319 + 0.0962083i −0.523031 0.852313i \(-0.675199\pi\)
0.316712 + 0.948522i \(0.397421\pi\)
\(258\) −9.99031 + 0.365842i −0.621970 + 0.0227763i
\(259\) 14.2044 8.20090i 0.882617 0.509579i
\(260\) 5.54761 + 12.9461i 0.344048 + 0.802881i
\(261\) −12.0850 + 5.42982i −0.748045 + 0.336097i
\(262\) 19.1698 + 1.67714i 1.18431 + 0.103614i
\(263\) 7.32234 5.12716i 0.451515 0.316154i −0.325606 0.945506i \(-0.605568\pi\)
0.777121 + 0.629351i \(0.216679\pi\)
\(264\) −1.12250 9.01553i −0.0690850 0.554868i
\(265\) −23.1278 + 5.42286i −1.42073 + 0.333124i
\(266\) −3.10372 12.6238i −0.190302 0.774013i
\(267\) 13.3685 8.38515i 0.818140 0.513163i
\(268\) −4.04485 + 8.67420i −0.247078 + 0.529861i
\(269\) −1.30023 + 7.37396i −0.0792763 + 0.449598i 0.919169 + 0.393863i \(0.128861\pi\)
−0.998446 + 0.0557354i \(0.982250\pi\)
\(270\) 5.89923 10.0099i 0.359016 0.609186i
\(271\) −2.96649 2.48918i −0.180202 0.151207i 0.548225 0.836331i \(-0.315304\pi\)
−0.728427 + 0.685124i \(0.759748\pi\)
\(272\) −1.64921 1.15479i −0.0999979 0.0700193i
\(273\) 28.7544 + 15.2265i 1.74030 + 0.921547i
\(274\) 2.92827 + 1.69064i 0.176903 + 0.102135i
\(275\) 26.0635 2.91976i 1.57169 0.176068i
\(276\) −3.18212 + 4.91829i −0.191541 + 0.296046i
\(277\) 18.1472 4.86254i 1.09036 0.292162i 0.331528 0.943446i \(-0.392436\pi\)
0.758834 + 0.651284i \(0.225769\pi\)
\(278\) −1.53074 + 5.71282i −0.0918079 + 0.342632i
\(279\) 9.96752 + 2.82157i 0.596740 + 0.168923i
\(280\) −2.08243 6.33524i −0.124449 0.378603i
\(281\) −10.8277 12.9040i −0.645928 0.769787i 0.339366 0.940655i \(-0.389788\pi\)
−0.985294 + 0.170867i \(0.945343\pi\)
\(282\) 15.0845 6.12433i 0.898270 0.364699i
\(283\) −9.71324 + 20.8301i −0.577392 + 1.23822i 0.373191 + 0.927754i \(0.378263\pi\)
−0.950584 + 0.310468i \(0.899514\pi\)
\(284\) −1.94145 −0.115204
\(285\) −1.20882 16.8386i −0.0716041 0.997433i
\(286\) 33.0393 1.95366
\(287\) −11.3698 + 24.3826i −0.671137 + 1.43926i
\(288\) −2.96146 + 0.479356i −0.174505 + 0.0282463i
\(289\) 8.32190 + 9.91765i 0.489523 + 0.583391i
\(290\) −4.45308 + 8.81405i −0.261494 + 0.517579i
\(291\) 1.15919 22.8607i 0.0679526 1.34012i
\(292\) −3.43724 + 12.8280i −0.201150 + 0.750700i
\(293\) 22.5939 6.05403i 1.31995 0.353680i 0.470992 0.882138i \(-0.343896\pi\)
0.848960 + 0.528458i \(0.177229\pi\)
\(294\) −2.75481 1.78236i −0.160664 0.103949i
\(295\) 7.84351 6.17134i 0.456667 0.359309i
\(296\) −4.76283 2.74982i −0.276834 0.159830i
\(297\) −16.1324 21.9683i −0.936095 1.27473i
\(298\) −7.18339 5.02987i −0.416123 0.291372i
\(299\) −16.3192 13.6934i −0.943763 0.791912i
\(300\) −1.27844 8.56537i −0.0738108 0.494522i
\(301\) −2.98908 + 16.9519i −0.172287 + 0.977091i
\(302\) 1.45285 3.11565i 0.0836022 0.179285i
\(303\) −2.15440 3.43478i −0.123767 0.197323i
\(304\) −3.14540 + 3.01769i −0.180401 + 0.173077i
\(305\) 13.4556 21.6982i 0.770464 1.24243i
\(306\) −6.00896 0.610958i −0.343509 0.0349261i
\(307\) 2.56772 1.79793i 0.146547 0.102614i −0.498003 0.867175i \(-0.665933\pi\)
0.644551 + 0.764562i \(0.277044\pi\)
\(308\) −15.5838 1.36340i −0.887968 0.0776871i
\(309\) 3.22859 2.44152i 0.183668 0.138893i
\(310\) 7.09711 3.04123i 0.403089 0.172730i
\(311\) 4.79978 2.77115i 0.272171 0.157138i −0.357703 0.933835i \(-0.616440\pi\)
0.629874 + 0.776698i \(0.283107\pi\)
\(312\) −0.399249 10.9026i −0.0226030 0.617238i
\(313\) 30.4975 14.2212i 1.72382 0.803832i 0.731260 0.682099i \(-0.238933\pi\)
0.992563 0.121733i \(-0.0388452\pi\)
\(314\) −14.2953 5.20306i −0.806730 0.293626i
\(315\) −14.7242 13.5442i −0.829615 0.763127i
\(316\) −3.53202 6.11763i −0.198691 0.344144i
\(317\) −1.93373 1.35401i −0.108609 0.0760490i 0.518010 0.855375i \(-0.326673\pi\)
−0.626619 + 0.779326i \(0.715562\pi\)
\(318\) 18.2259 + 2.52995i 1.02206 + 0.141873i
\(319\) 14.8900 + 17.7452i 0.833679 + 0.993540i
\(320\) −1.49053 + 1.66683i −0.0833231 + 0.0931786i
\(321\) 2.25599 + 18.1194i 0.125917 + 1.01132i
\(322\) 7.13225 + 7.13225i 0.397465 + 0.397465i
\(323\) −7.68935 + 4.22952i −0.427847 + 0.235337i
\(324\) −7.05433 + 5.58896i −0.391907 + 0.310498i
\(325\) 31.4849 0.765025i 1.74647 0.0424360i
\(326\) 4.92285 + 0.868032i 0.272652 + 0.0480758i
\(327\) −8.07576 2.60883i −0.446590 0.144269i
\(328\) 8.98650 0.786217i 0.496197 0.0434116i
\(329\) −4.86778 27.6065i −0.268369 1.52200i
\(330\) −19.6494 5.15743i −1.08167 0.283907i
\(331\) −4.03310 + 6.98554i −0.221679 + 0.383960i −0.955318 0.295580i \(-0.904487\pi\)
0.733639 + 0.679540i \(0.237820\pi\)
\(332\) −3.16185 + 1.47439i −0.173529 + 0.0809179i
\(333\) −16.4973 0.231965i −0.904046 0.0127116i
\(334\) −12.6277 7.29062i −0.690958 0.398925i
\(335\) 14.6491 + 15.6019i 0.800363 + 0.852421i
\(336\) −0.261592 + 5.15894i −0.0142710 + 0.281443i
\(337\) −1.21997 13.9443i −0.0664558 0.759594i −0.954183 0.299224i \(-0.903272\pi\)
0.887727 0.460370i \(-0.152283\pi\)
\(338\) 26.5738 + 2.32491i 1.44543 + 0.126458i
\(339\) 6.28745 14.8825i 0.341488 0.808305i
\(340\) −3.76720 + 2.46481i −0.204305 + 0.133673i
\(341\) 18.1124i 0.980840i
\(342\) −3.82164 + 12.5058i −0.206651 + 0.676236i
\(343\) 10.7669 10.7669i 0.581361 0.581361i
\(344\) 5.42369 1.97406i 0.292426 0.106434i
\(345\) 7.56794 + 10.6913i 0.407444 + 0.575600i
\(346\) 0.976785 0.819620i 0.0525123 0.0440630i
\(347\) −0.935054 + 0.0818066i −0.0501963 + 0.00439161i −0.112226 0.993683i \(-0.535798\pi\)
0.0620299 + 0.998074i \(0.480243\pi\)
\(348\) 5.67578 5.12796i 0.304254 0.274887i
\(349\) −7.28582 + 4.20647i −0.390001 + 0.225167i −0.682161 0.731202i \(-0.738959\pi\)
0.292160 + 0.956370i \(0.405626\pi\)
\(350\) −14.8821 0.938415i −0.795484 0.0501604i
\(351\) −16.9996 27.9687i −0.907373 1.49286i
\(352\) 2.21676 + 4.75386i 0.118154 + 0.253382i
\(353\) −11.9516 + 3.20242i −0.636119 + 0.170447i −0.562445 0.826835i \(-0.690139\pi\)
−0.0736740 + 0.997282i \(0.523472\pi\)
\(354\) −7.38905 + 2.27278i −0.392724 + 0.120797i
\(355\) −1.61248 + 4.03065i −0.0855813 + 0.213925i
\(356\) −5.85641 + 6.97939i −0.310389 + 0.369907i
\(357\) −3.19696 + 9.89633i −0.169201 + 0.523769i
\(358\) 3.06872 + 4.38259i 0.162187 + 0.231627i
\(359\) 20.5893 7.49391i 1.08666 0.395513i 0.264280 0.964446i \(-0.414866\pi\)
0.822384 + 0.568933i \(0.192644\pi\)
\(360\) −1.46445 + 6.54640i −0.0771832 + 0.345026i
\(361\) 5.75322 + 18.1080i 0.302801 + 0.953054i
\(362\) −11.3972 + 11.3972i −0.599026 + 0.599026i
\(363\) −17.5708 + 22.5684i −0.922227 + 1.18453i
\(364\) −18.4999 3.26203i −0.969658 0.170977i
\(365\) 23.7773 + 17.7903i 1.24456 + 0.931189i
\(366\) −15.7742 + 11.9287i −0.824529 + 0.623523i
\(367\) −1.97843 + 2.82549i −0.103273 + 0.147489i −0.867462 0.497503i \(-0.834250\pi\)
0.764189 + 0.644992i \(0.223139\pi\)
\(368\) 0.875348 3.26684i 0.0456307 0.170296i
\(369\) 22.3843 15.2092i 1.16528 0.791759i
\(370\) −9.66466 + 7.60424i −0.502442 + 0.395325i
\(371\) 10.8363 29.7725i 0.562592 1.54571i
\(372\) −5.97687 + 0.218871i −0.309886 + 0.0113479i
\(373\) −30.8790 8.27400i −1.59885 0.428411i −0.654157 0.756359i \(-0.726977\pi\)
−0.944696 + 0.327947i \(0.893643\pi\)
\(374\) 1.83380 + 10.4000i 0.0948236 + 0.537771i
\(375\) −18.8444 4.45980i −0.973119 0.230303i
\(376\) −7.20041 + 6.04186i −0.371333 + 0.311585i
\(377\) 15.9554 + 22.7867i 0.821744 + 1.17357i
\(378\) 6.86411 + 13.8936i 0.353052 + 0.714609i
\(379\) 11.3542i 0.583228i −0.956536 0.291614i \(-0.905808\pi\)
0.956536 0.291614i \(-0.0941922\pi\)
\(380\) 3.65262 + 9.03650i 0.187375 + 0.463563i
\(381\) 16.9974 + 3.89378i 0.870801 + 0.199485i
\(382\) 19.6437 + 9.15999i 1.00506 + 0.468666i
\(383\) −0.526180 + 0.368435i −0.0268865 + 0.0188262i −0.586942 0.809629i \(-0.699669\pi\)
0.560056 + 0.828455i \(0.310780\pi\)
\(384\) 1.54193 0.788952i 0.0786864 0.0402610i
\(385\) −15.7737 + 31.2211i −0.803901 + 1.59117i
\(386\) 5.54394 0.977546i 0.282179 0.0497558i
\(387\) 11.3155 13.1065i 0.575197 0.666242i
\(388\) 3.42044 + 12.7653i 0.173647 + 0.648058i
\(389\) −4.84457 1.76328i −0.245629 0.0894018i 0.216272 0.976333i \(-0.430610\pi\)
−0.461901 + 0.886931i \(0.652833\pi\)
\(390\) −22.9665 8.22627i −1.16295 0.416554i
\(391\) 3.40459 5.89693i 0.172178 0.298221i
\(392\) 1.82981 + 0.490296i 0.0924194 + 0.0247637i
\(393\) −24.7310 + 22.3440i −1.24752 + 1.12711i
\(394\) −9.10146 + 10.8467i −0.458525 + 0.546449i
\(395\) −15.6343 + 2.25181i −0.786648 + 0.113301i
\(396\) 12.7619 + 9.20609i 0.641312 + 0.462624i
\(397\) −32.9781 15.3779i −1.65512 0.771797i −0.999866 0.0163919i \(-0.994782\pi\)
−0.655258 0.755405i \(-0.727440\pi\)
\(398\) 2.26280 + 2.26280i 0.113424 + 0.113424i
\(399\) 19.6760 + 10.9469i 0.985030 + 0.548032i
\(400\) 2.22254 + 4.47887i 0.111127 + 0.223944i
\(401\) 6.98171 + 19.1821i 0.348650 + 0.957908i 0.982796 + 0.184695i \(0.0591296\pi\)
−0.634146 + 0.773213i \(0.718648\pi\)
\(402\) −6.23605 15.3597i −0.311026 0.766071i
\(403\) 1.89566 21.6675i 0.0944296 1.07933i
\(404\) 1.79322 + 1.50469i 0.0892159 + 0.0748610i
\(405\) 5.74426 + 19.2874i 0.285434 + 0.958398i
\(406\) −6.58541 11.4063i −0.326829 0.566084i
\(407\) 7.46623 + 27.8644i 0.370087 + 1.38119i
\(408\) 3.40972 0.730807i 0.168806 0.0361804i
\(409\) −2.33415 + 6.41301i −0.115416 + 0.317103i −0.983928 0.178565i \(-0.942855\pi\)
0.868512 + 0.495668i \(0.165077\pi\)
\(410\) 5.83148 19.3099i 0.287996 0.953646i
\(411\) −5.59773 + 1.72179i −0.276116 + 0.0849296i
\(412\) −1.34045 + 1.91437i −0.0660394 + 0.0943140i
\(413\) 1.16014 + 13.2605i 0.0570869 + 0.652506i
\(414\) −2.48799 9.83648i −0.122278 0.483437i
\(415\) 0.434914 + 7.78887i 0.0213491 + 0.382341i
\(416\) 2.15433 + 5.91897i 0.105625 + 0.290201i
\(417\) −5.44319 8.67813i −0.266554 0.424970i
\(418\) 22.8589 + 0.473652i 1.11806 + 0.0231671i
\(419\) 6.76793 0.330635 0.165318 0.986240i \(-0.447135\pi\)
0.165318 + 0.986240i \(0.447135\pi\)
\(420\) 10.4932 + 4.82785i 0.512016 + 0.235575i
\(421\) 0.526979 2.98865i 0.0256834 0.145658i −0.969269 0.246002i \(-0.920883\pi\)
0.994953 + 0.100344i \(0.0319943\pi\)
\(422\) −0.606759 + 6.93529i −0.0295366 + 0.337605i
\(423\) −10.0160 + 26.3596i −0.486995 + 1.28165i
\(424\) −10.4622 + 1.84477i −0.508090 + 0.0895899i
\(425\) 1.98834 + 9.86824i 0.0964484 + 0.478680i
\(426\) 2.28918 2.46321i 0.110911 0.119343i
\(427\) 14.3913 + 30.8622i 0.696442 + 1.49353i
\(428\) −4.45524 9.55429i −0.215352 0.461824i
\(429\) −38.9569 + 41.9185i −1.88085 + 2.02384i
\(430\) 0.406301 12.8997i 0.0195936 0.622078i
\(431\) −39.1867 + 6.90968i −1.88756 + 0.332828i −0.993379 0.114881i \(-0.963351\pi\)
−0.894179 + 0.447709i \(0.852240\pi\)
\(432\) 2.88369 4.32254i 0.138741 0.207968i
\(433\) 1.12085 12.8114i 0.0538645 0.615674i −0.920506 0.390727i \(-0.872224\pi\)
0.974371 0.224947i \(-0.0722209\pi\)
\(434\) −1.78826 + 10.1418i −0.0858394 + 0.486820i
\(435\) −5.93213 16.0425i −0.284424 0.769179i
\(436\) 4.89979 0.234657
\(437\) −11.0944 9.70800i −0.530718 0.464397i
\(438\) −12.2225 19.4865i −0.584016 0.931101i
\(439\) −0.696102 1.91253i −0.0332232 0.0912799i 0.921972 0.387256i \(-0.126577\pi\)
−0.955195 + 0.295977i \(0.904355\pi\)
\(440\) 11.7106 0.653896i 0.558282 0.0311733i
\(441\) 5.50957 1.39356i 0.262360 0.0663602i
\(442\) 1.10527 + 12.6333i 0.0525722 + 0.600903i
\(443\) 20.9141 29.8684i 0.993659 1.41909i 0.0874952 0.996165i \(-0.472114\pi\)
0.906164 0.422927i \(-0.138997\pi\)
\(444\) 9.10469 2.80048i 0.432089 0.132905i
\(445\) 9.62587 + 17.9552i 0.456310 + 0.851159i
\(446\) 3.87817 10.6552i 0.183637 0.504538i
\(447\) 14.8516 3.18315i 0.702456 0.150558i
\(448\) −0.771887 2.88072i −0.0364682 0.136101i
\(449\) −14.9035 25.8136i −0.703338 1.21822i −0.967288 0.253681i \(-0.918359\pi\)
0.263950 0.964536i \(-0.414975\pi\)
\(450\) 12.3747 + 8.47746i 0.583348 + 0.399631i
\(451\) −36.2470 30.4148i −1.70680 1.43218i
\(452\) −0.812966 + 9.29224i −0.0382387 + 0.437070i
\(453\) 2.23990 + 5.51697i 0.105240 + 0.259210i
\(454\) −3.01994 8.29722i −0.141733 0.389408i
\(455\) −22.1374 + 35.6983i −1.03782 + 1.67356i
\(456\) −0.119928 7.54888i −0.00561615 0.353509i
\(457\) −7.39630 7.39630i −0.345984 0.345984i 0.512627 0.858611i \(-0.328672\pi\)
−0.858611 + 0.512627i \(0.828672\pi\)
\(458\) −8.96434 4.18014i −0.418876 0.195325i
\(459\) 7.86034 6.90344i 0.366889 0.322225i
\(460\) −6.05527 4.53059i −0.282328 0.211240i
\(461\) 13.7098 16.3386i 0.638527 0.760967i −0.345610 0.938378i \(-0.612328\pi\)
0.984137 + 0.177412i \(0.0567724\pi\)
\(462\) 20.1047 18.1642i 0.935356 0.845076i
\(463\) −8.49534 2.27632i −0.394812 0.105789i 0.0559505 0.998434i \(-0.482181\pi\)
−0.450762 + 0.892644i \(0.648848\pi\)
\(464\) −2.20814 + 3.82460i −0.102510 + 0.177553i
\(465\) −4.50969 + 12.5904i −0.209132 + 0.583864i
\(466\) −12.7689 4.64750i −0.591508 0.215291i
\(467\) 3.02788 + 11.3002i 0.140113 + 0.522910i 0.999924 + 0.0122978i \(0.00391461\pi\)
−0.859811 + 0.510612i \(0.829419\pi\)
\(468\) 14.3034 + 12.3488i 0.661173 + 0.570822i
\(469\) −28.1101 + 4.95657i −1.29800 + 0.228873i
\(470\) 6.56320 + 19.9668i 0.302738 + 0.921002i
\(471\) 23.4570 12.0021i 1.08084 0.553028i
\(472\) 3.65614 2.56005i 0.168287 0.117836i
\(473\) −27.4382 12.7947i −1.26161 0.588299i
\(474\) 11.9263 + 2.73210i 0.547794 + 0.125490i
\(475\) 21.7944 0.0779288i 0.999994 0.00357562i
\(476\) 6.00438i 0.275210i
\(477\) −24.7001 + 20.1409i −1.13094 + 0.922187i
\(478\) −8.18597 11.6908i −0.374418 0.534724i
\(479\) 12.2537 10.2821i 0.559887 0.469801i −0.318386 0.947961i \(-0.603141\pi\)
0.878272 + 0.478161i \(0.158696\pi\)
\(480\) −0.357290 3.85647i −0.0163080 0.176023i
\(481\) 6.01540 + 34.1150i 0.274279 + 1.55551i
\(482\) 12.8432 + 3.44132i 0.584991 + 0.156748i
\(483\) −17.4587 + 0.639331i −0.794397 + 0.0290906i
\(484\) 5.64787 15.5174i 0.256721 0.705336i
\(485\) 29.3428 + 3.50102i 1.33239 + 0.158973i
\(486\) 1.22683 15.5401i 0.0556503 0.704914i
\(487\) 2.80344 10.4626i 0.127036 0.474105i −0.872868 0.487956i \(-0.837743\pi\)
0.999904 + 0.0138515i \(0.00440921\pi\)
\(488\) 6.54915 9.35315i 0.296466 0.423397i
\(489\) −6.90587 + 5.22234i −0.312294 + 0.236162i
\(490\) 2.53765 3.39165i 0.114639 0.153219i
\(491\) −24.0307 4.23726i −1.08449 0.191225i −0.397290 0.917693i \(-0.630049\pi\)
−0.687200 + 0.726468i \(0.741160\pi\)
\(492\) −9.59852 + 12.3286i −0.432735 + 0.555816i
\(493\) −6.28712 + 6.28712i −0.283158 + 0.283158i
\(494\) 27.2961 + 2.95906i 1.22811 + 0.133134i
\(495\) 29.7122 18.8489i 1.33546 0.847197i
\(496\) 3.24482 1.18102i 0.145697 0.0530292i
\(497\) −3.32105 4.74295i −0.148970 0.212751i
\(498\) 1.85752 5.75004i 0.0832376 0.257666i
\(499\) 13.6561 16.2747i 0.611332 0.728558i −0.368222 0.929738i \(-0.620033\pi\)
0.979554 + 0.201180i \(0.0644777\pi\)
\(500\) 11.1445 0.894290i 0.498398 0.0399939i
\(501\) 24.1393 7.42495i 1.07847 0.331722i
\(502\) −19.1539 + 5.13228i −0.854882 + 0.229065i
\(503\) 13.9731 + 29.9654i 0.623029 + 1.33609i 0.923976 + 0.382450i \(0.124920\pi\)
−0.300947 + 0.953641i \(0.597303\pi\)
\(504\) −6.23693 6.41482i −0.277815 0.285739i
\(505\) 4.61324 2.47318i 0.205286 0.110055i
\(506\) −15.3634 + 8.87004i −0.682985 + 0.394321i
\(507\) −34.2830 + 30.9741i −1.52256 + 1.37561i
\(508\) −10.0293 + 0.877452i −0.444979 + 0.0389306i
\(509\) −24.7885 + 20.8000i −1.09873 + 0.921945i −0.997339 0.0729014i \(-0.976774\pi\)
−0.101392 + 0.994847i \(0.532330\pi\)
\(510\) 1.31472 7.68589i 0.0582166 0.340337i
\(511\) −37.2184 + 13.5464i −1.64644 + 0.599256i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −11.3605 19.5943i −0.501580 0.865111i
\(514\) 3.64948i 0.160972i
\(515\) 2.86110 + 4.37289i 0.126075 + 0.192693i
\(516\) −3.89052 + 9.20891i −0.171271 + 0.405400i
\(517\) 49.1155 + 4.29705i 2.16010 + 0.188984i
\(518\) −1.42951 16.3394i −0.0628091 0.717911i
\(519\) −0.111844 + 2.20571i −0.00490940 + 0.0968198i
\(520\) 14.0776 + 0.443403i 0.617346 + 0.0194445i
\(521\) −28.8289 16.6444i −1.26302 0.729204i −0.289361 0.957220i \(-0.593443\pi\)
−0.973657 + 0.228016i \(0.926776\pi\)
\(522\) −0.186270 + 13.2475i −0.00815283 + 0.579828i
\(523\) −29.1596 + 13.5974i −1.27506 + 0.594571i −0.937910 0.346880i \(-0.887241\pi\)
−0.337152 + 0.941450i \(0.609464\pi\)
\(524\) 9.62151 16.6649i 0.420317 0.728011i
\(525\) 18.7382 17.7751i 0.817803 0.775771i
\(526\) −1.55223 8.80313i −0.0676804 0.383835i
\(527\) 6.92563 0.605914i 0.301685 0.0263940i
\(528\) −8.64524 2.79280i −0.376236 0.121541i
\(529\) −11.3859 2.00763i −0.495037 0.0872884i
\(530\) −4.85946 + 23.2527i −0.211082 + 1.01003i
\(531\) 5.82890 12.0547i 0.252953 0.523128i
\(532\) −12.7527 2.52211i −0.552900 0.109347i
\(533\) −40.1783 40.1783i −1.74032 1.74032i
\(534\) −1.94975 15.6597i −0.0843738 0.677662i
\(535\) −23.5360 + 1.31420i −1.01755 + 0.0568177i
\(536\) 6.15207 + 7.33175i 0.265729 + 0.316684i
\(537\) −9.17873 1.27411i −0.396091 0.0549818i
\(538\) 6.13358 + 4.29478i 0.264437 + 0.185161i
\(539\) −4.96825 8.60526i −0.213998 0.370655i
\(540\) −6.57897 9.57691i −0.283114 0.412124i
\(541\) 15.5421 + 5.65685i 0.668206 + 0.243207i 0.653775 0.756689i \(-0.273184\pi\)
0.0144307 + 0.999896i \(0.495406\pi\)
\(542\) −3.50966 + 1.63658i −0.150753 + 0.0702972i
\(543\) −1.02164 27.8987i −0.0438428 1.19725i
\(544\) −1.74358 + 1.00666i −0.0747553 + 0.0431600i
\(545\) 4.06952 10.1724i 0.174319 0.435740i
\(546\) 25.9520 19.6254i 1.11064 0.839888i
\(547\) −13.4843 1.17972i −0.576545 0.0504411i −0.204846 0.978794i \(-0.565669\pi\)
−0.371699 + 0.928353i \(0.621225\pi\)
\(548\) 2.76978 1.93942i 0.118319 0.0828480i
\(549\) 3.46492 34.0786i 0.147879 1.45444i
\(550\) 8.36871 24.8555i 0.356843 1.05984i
\(551\) 10.7124 + 15.9941i 0.456362 + 0.681371i
\(552\) 3.11266 + 4.96254i 0.132484 + 0.211220i
\(553\) 8.90345 19.0935i 0.378613 0.811939i
\(554\) 3.26240 18.5020i 0.138606 0.786074i
\(555\) 1.74782 21.2282i 0.0741909 0.901086i
\(556\) 4.53065 + 3.80167i 0.192142 + 0.161227i
\(557\) 9.96609 + 6.97833i 0.422277 + 0.295682i 0.765334 0.643633i \(-0.222574\pi\)
−0.343057 + 0.939314i \(0.611463\pi\)
\(558\) 6.76967 7.84119i 0.286583 0.331944i
\(559\) −31.4848 18.1777i −1.33166 0.768836i
\(560\) −6.62175 0.790070i −0.279820 0.0333866i
\(561\) −15.3572 9.93607i −0.648381 0.419501i
\(562\) −16.2710 + 4.35980i −0.686350 + 0.183907i
\(563\) −8.06651 + 30.1046i −0.339963 + 1.26876i 0.558425 + 0.829555i \(0.311406\pi\)
−0.898388 + 0.439203i \(0.855261\pi\)
\(564\) 0.824462 16.2595i 0.0347161 0.684647i
\(565\) 18.6164 + 9.40547i 0.783198 + 0.395691i
\(566\) 14.7735 + 17.6064i 0.620977 + 0.740051i
\(567\) −25.7209 7.67318i −1.08018 0.322243i
\(568\) −0.820494 + 1.75955i −0.0344272 + 0.0738293i
\(569\) −0.279833 −0.0117312 −0.00586561 0.999983i \(-0.501867\pi\)
−0.00586561 + 0.999983i \(0.501867\pi\)
\(570\) −15.7718 6.02074i −0.660609 0.252181i
\(571\) 20.1066 0.841434 0.420717 0.907192i \(-0.361779\pi\)
0.420717 + 0.907192i \(0.361779\pi\)
\(572\) 13.9630 29.9438i 0.583824 1.25201i
\(573\) −34.7836 + 14.1222i −1.45311 + 0.589963i
\(574\) 17.2930 + 20.6090i 0.721797 + 0.860205i
\(575\) −14.4351 + 8.80845i −0.601987 + 0.367338i
\(576\) −0.817121 + 2.88657i −0.0340467 + 0.120274i
\(577\) −2.71584 + 10.1356i −0.113062 + 0.421952i −0.999135 0.0415937i \(-0.986756\pi\)
0.886073 + 0.463546i \(0.153423\pi\)
\(578\) 12.5054 3.35082i 0.520157 0.139376i
\(579\) −5.29663 + 8.18647i −0.220120 + 0.340218i
\(580\) 6.10629 + 7.76083i 0.253550 + 0.322251i
\(581\) −9.01060 5.20227i −0.373822 0.215827i
\(582\) −20.2289 10.7119i −0.838515 0.444023i
\(583\) 45.6465 + 31.9620i 1.89048 + 1.32373i
\(584\) 10.1734 + 8.53654i 0.420980 + 0.353244i
\(585\) 37.5169 19.4389i 1.55113 0.803701i
\(586\) 4.06180 23.0356i 0.167791 0.951592i
\(587\) −10.2854 + 22.0572i −0.424526 + 0.910398i 0.571438 + 0.820645i \(0.306386\pi\)
−0.995964 + 0.0897533i \(0.971392\pi\)
\(588\) −2.77960 + 1.74345i −0.114629 + 0.0718987i
\(589\) 1.62217 14.9639i 0.0668404 0.616576i
\(590\) −2.27832 9.71675i −0.0937969 0.400032i
\(591\) −3.03011 24.3368i −0.124642 1.00108i
\(592\) −4.50504 + 3.15446i −0.185156 + 0.129648i
\(593\) 1.21650 + 0.106430i 0.0499558 + 0.00437057i 0.112106 0.993696i \(-0.464240\pi\)
−0.0621504 + 0.998067i \(0.519796\pi\)
\(594\) −26.7279 + 5.33670i −1.09666 + 0.218967i
\(595\) −12.4657 4.98694i −0.511043 0.204445i
\(596\) −7.59444 + 4.38465i −0.311080 + 0.179602i
\(597\) −5.53898 + 0.202836i −0.226696 + 0.00830151i
\(598\) −19.3073 + 9.00312i −0.789532 + 0.368165i
\(599\) −10.6955 3.89283i −0.437004 0.159057i 0.114143 0.993464i \(-0.463588\pi\)
−0.551148 + 0.834408i \(0.685810\pi\)
\(600\) −8.30316 2.46122i −0.338975 0.100479i
\(601\) −4.34754 7.53016i −0.177340 0.307162i 0.763629 0.645656i \(-0.223416\pi\)
−0.940969 + 0.338494i \(0.890082\pi\)
\(602\) 14.1004 + 9.87320i 0.574689 + 0.402402i
\(603\) 26.8404 + 10.1987i 1.09303 + 0.415324i
\(604\) −2.20973 2.63346i −0.0899128 0.107154i
\(605\) −27.5248 24.6135i −1.11904 1.00068i
\(606\) −4.02345 + 0.500949i −0.163442 + 0.0203497i
\(607\) −2.28976 2.28976i −0.0929387 0.0929387i 0.659109 0.752048i \(-0.270934\pi\)
−0.752048 + 0.659109i \(0.770934\pi\)
\(608\) 1.40566 + 4.12603i 0.0570069 + 0.167333i
\(609\) 22.2365 + 5.09398i 0.901070 + 0.206419i
\(610\) −13.9787 21.3649i −0.565980 0.865041i
\(611\) 58.3063 + 10.2810i 2.35882 + 0.415923i
\(612\) −3.09321 + 5.18776i −0.125036 + 0.209703i
\(613\) 12.4695 1.09094i 0.503637 0.0440626i 0.167493 0.985873i \(-0.446433\pi\)
0.336144 + 0.941811i \(0.390877\pi\)
\(614\) −0.544318 3.08698i −0.0219669 0.124580i
\(615\) 17.6233 + 30.1670i 0.710642 + 1.21645i
\(616\) −7.82165 + 13.5475i −0.315143 + 0.545844i
\(617\) 3.91390 1.82508i 0.157568 0.0734750i −0.342235 0.939615i \(-0.611184\pi\)
0.499802 + 0.866140i \(0.333406\pi\)
\(618\) −0.848305 3.95793i −0.0341238 0.159211i
\(619\) 0.855340 + 0.493831i 0.0343790 + 0.0198487i 0.517091 0.855930i \(-0.327015\pi\)
−0.482712 + 0.875779i \(0.660348\pi\)
\(620\) 0.243076 7.71745i 0.00976217 0.309940i
\(621\) 15.4136 + 8.44161i 0.618526 + 0.338750i
\(622\) −0.483044 5.52122i −0.0193683 0.221381i
\(623\) −27.0686 2.36819i −1.08448 0.0948796i
\(624\) −10.0498 4.24579i −0.402316 0.169968i
\(625\) 7.39945 23.8799i 0.295978 0.955195i
\(626\) 33.6503i 1.34494i
\(627\) −27.5539 + 28.4436i −1.10040 + 1.13593i
\(628\) −10.7570 + 10.7570i −0.429252 + 0.429252i
\(629\) −10.4047 + 3.78701i −0.414864 + 0.150998i
\(630\) −18.4979 + 7.62065i −0.736974 + 0.303614i
\(631\) 26.9539 22.6170i 1.07302 0.900370i 0.0776966 0.996977i \(-0.475243\pi\)
0.995323 + 0.0966070i \(0.0307990\pi\)
\(632\) −7.03715 + 0.615671i −0.279923 + 0.0244901i
\(633\) −8.08368 8.94726i −0.321297 0.355622i
\(634\) −2.04438 + 1.18033i −0.0811928 + 0.0468767i
\(635\) −6.50818 + 21.5506i −0.258269 + 0.855211i
\(636\) 9.99550 15.4490i 0.396347 0.612594i
\(637\) −5.04279 10.8143i −0.199803 0.428478i
\(638\) 22.3754 5.99547i 0.885850 0.237363i
\(639\) 0.426001 + 5.80876i 0.0168523 + 0.229791i
\(640\) 0.880736 + 2.05531i 0.0348141 + 0.0812433i
\(641\) 11.4765 13.6772i 0.453296 0.540217i −0.490196 0.871612i \(-0.663075\pi\)
0.943492 + 0.331395i \(0.107519\pi\)
\(642\) 17.3751 + 5.61295i 0.685742 + 0.221526i
\(643\) 25.3833 + 36.2511i 1.00102 + 1.42960i 0.900596 + 0.434658i \(0.143131\pi\)
0.100423 + 0.994945i \(0.467981\pi\)
\(644\) 9.47824 3.44980i 0.373495 0.135941i
\(645\) 15.8873 + 15.7256i 0.625563 + 0.619194i
\(646\) 0.583589 + 8.75640i 0.0229610 + 0.344516i
\(647\) 4.75082 4.75082i 0.186774 0.186774i −0.607526 0.794300i \(-0.707838\pi\)
0.794300 + 0.607526i \(0.207838\pi\)
\(648\) 2.08403 + 8.75539i 0.0818684 + 0.343944i
\(649\) −23.0558 4.06536i −0.905020 0.159579i
\(650\) 12.6127 28.8583i 0.494712 1.13192i
\(651\) −10.7587 14.2270i −0.421668 0.557602i
\(652\) 2.86719 4.09478i 0.112288 0.160364i
\(653\) 3.04073 11.3482i 0.118993 0.444088i −0.880561 0.473932i \(-0.842834\pi\)
0.999555 + 0.0298435i \(0.00950091\pi\)
\(654\) −5.77737 + 6.21658i −0.225913 + 0.243088i
\(655\) −26.6069 33.8163i −1.03962 1.32131i
\(656\) 3.08530 8.47681i 0.120461 0.330964i
\(657\) 39.1350 + 7.46935i 1.52680 + 0.291407i
\(658\) −27.0772 7.25533i −1.05558 0.282842i
\(659\) 1.57079 + 8.90841i 0.0611894 + 0.347023i 0.999997 + 0.00257956i \(0.000821101\pi\)
−0.938807 + 0.344443i \(0.888068\pi\)
\(660\) −12.9784 + 15.6288i −0.505185 + 0.608350i
\(661\) 11.1294 9.33871i 0.432885 0.363234i −0.400154 0.916448i \(-0.631043\pi\)
0.833039 + 0.553214i \(0.186599\pi\)
\(662\) 4.62658 + 6.60745i 0.179817 + 0.256806i
\(663\) −17.3316 13.4936i −0.673104 0.524050i
\(664\) 3.48872i 0.135388i
\(665\) −15.8279 + 24.3812i −0.613780 + 0.945461i
\(666\) −7.18229 + 14.8536i −0.278308 + 0.575565i
\(667\) −13.5368 6.31231i −0.524147 0.244414i
\(668\) −11.9443 + 8.36346i −0.462137 + 0.323592i
\(669\) 8.94594 + 17.4840i 0.345870 + 0.675970i
\(670\) 20.3310 6.68292i 0.785457 0.258184i
\(671\) −58.9815 + 10.4000i −2.27696 + 0.401489i
\(672\) 4.56503 + 2.41734i 0.176100 + 0.0932511i
\(673\) −4.98372 18.5995i −0.192108 0.716958i −0.992996 0.118144i \(-0.962306\pi\)
0.800888 0.598814i \(-0.204361\pi\)
\(674\) −13.1534 4.78745i −0.506650 0.184405i
\(675\) −25.3468 + 5.70450i −0.975598 + 0.219566i
\(676\) 13.3377 23.1015i 0.512987 0.888520i
\(677\) −2.85044 0.763774i −0.109551 0.0293542i 0.203627 0.979049i \(-0.434727\pi\)
−0.313178 + 0.949694i \(0.601394\pi\)
\(678\) −10.8309 11.9880i −0.415958 0.460395i
\(679\) −25.3344 + 30.1924i −0.972245 + 1.15868i
\(680\) 0.641787 + 4.45592i 0.0246114 + 0.170877i
\(681\) 14.0879 + 5.95176i 0.539849 + 0.228072i
\(682\) −16.4154 7.65462i −0.628578 0.293111i
\(683\) −15.4021 15.4021i −0.589346 0.589346i 0.348109 0.937454i \(-0.386824\pi\)
−0.937454 + 0.348109i \(0.886824\pi\)
\(684\) 9.71901 + 8.74876i 0.371616 + 0.334517i
\(685\) −1.72599 7.36113i −0.0659466 0.281254i
\(686\) −5.20786 14.3085i −0.198837 0.546300i
\(687\) 15.8734 6.44463i 0.605609 0.245878i
\(688\) 0.503043 5.74981i 0.0191783 0.219210i
\(689\) 51.2609 + 43.0130i 1.95288 + 1.63866i
\(690\) 12.8879 2.34055i 0.490636 0.0891032i
\(691\) 4.93248 + 8.54330i 0.187640 + 0.325002i 0.944463 0.328618i \(-0.106583\pi\)
−0.756823 + 0.653620i \(0.773249\pi\)
\(692\) −0.330021 1.23165i −0.0125455 0.0468204i
\(693\) −0.659806 + 46.9253i −0.0250640 + 1.78254i
\(694\) −0.321029 + 0.882019i −0.0121861 + 0.0334810i
\(695\) 11.6556 6.24860i 0.442121 0.237023i
\(696\) −2.24882 7.31117i −0.0852413 0.277129i
\(697\) 10.4171 14.8772i 0.394577 0.563515i
\(698\) 0.733236 + 8.38092i 0.0277534 + 0.317223i
\(699\) 20.9524 10.7206i 0.792492 0.405490i
\(700\) −7.13996 + 13.0912i −0.269865 + 0.494801i
\(701\) 1.46716 + 4.03098i 0.0554138 + 0.152248i 0.964311 0.264772i \(-0.0852967\pi\)
−0.908897 + 0.417020i \(0.863074\pi\)
\(702\) −32.5326 + 3.58683i −1.22786 + 0.135376i
\(703\) 3.67279 + 23.6893i 0.138522 + 0.893461i
\(704\) 5.24531 0.197690
\(705\) −33.0715 15.2160i −1.24555 0.573067i
\(706\) −2.14858 + 12.1852i −0.0808630 + 0.458597i
\(707\) −0.608460 + 6.95473i −0.0228835 + 0.261560i
\(708\) −1.06291 + 7.65727i −0.0399467 + 0.287778i
\(709\) 38.5505 6.79749i 1.44779 0.255285i 0.606164 0.795340i \(-0.292707\pi\)
0.841630 + 0.540054i \(0.181596\pi\)
\(710\) 2.97155 + 3.16483i 0.111520 + 0.118774i
\(711\) −17.5287 + 11.9100i −0.657379 + 0.446661i
\(712\) 3.85045 + 8.25732i 0.144302 + 0.309456i
\(713\) 4.93557 + 10.5844i 0.184838 + 0.396387i
\(714\) 7.61802 + 7.07980i 0.285097 + 0.264955i
\(715\) −50.5693 53.8585i −1.89119 2.01419i
\(716\) 5.26887 0.929044i 0.196907 0.0347200i
\(717\) 24.4847 + 3.39875i 0.914399 + 0.126929i
\(718\) 1.90964 21.8273i 0.0712673 0.814589i
\(719\) −4.72401 + 26.7912i −0.176176 + 0.999144i 0.760602 + 0.649219i \(0.224904\pi\)
−0.936778 + 0.349925i \(0.886207\pi\)
\(720\) 5.31415 + 4.09387i 0.198047 + 0.152570i
\(721\) −6.96976 −0.259567
\(722\) 18.8429 + 2.43859i 0.701259 + 0.0907550i
\(723\) −19.5096 + 12.2370i −0.725571 + 0.455100i
\(724\) 5.51273 + 15.1461i 0.204879 + 0.562900i
\(725\) 21.1838 6.23149i 0.786748 0.231432i
\(726\) 13.0282 + 25.4623i 0.483521 + 0.944996i
\(727\) 0.239917 + 2.74226i 0.00889802 + 0.101705i 0.999345 0.0361897i \(-0.0115221\pi\)
−0.990447 + 0.137895i \(0.955967\pi\)
\(728\) −10.7748 + 15.3880i −0.399340 + 0.570317i
\(729\) 18.2699 + 19.8800i 0.676661 + 0.736294i
\(730\) 26.1723 14.0311i 0.968679 0.519313i
\(731\) 3.97440 10.9196i 0.146999 0.403876i
\(732\) 4.14463 + 19.3375i 0.153190 + 0.714736i
\(733\) 9.79046 + 36.5385i 0.361619 + 1.34958i 0.871947 + 0.489600i \(0.162857\pi\)
−0.510328 + 0.859980i \(0.670476\pi\)
\(734\) 1.72464 + 2.98717i 0.0636578 + 0.110259i
\(735\) 1.31098 + 7.21874i 0.0483562 + 0.266267i
\(736\) −2.59083 2.17396i −0.0954992 0.0801333i
\(737\) 4.37543 50.0114i 0.161171 1.84219i
\(738\) −4.32418 26.7148i −0.159175 0.983385i
\(739\) 15.7765 + 43.3456i 0.580349 + 1.59450i 0.787586 + 0.616205i \(0.211331\pi\)
−0.207237 + 0.978291i \(0.566447\pi\)
\(740\) 2.80731 + 11.9728i 0.103199 + 0.440131i
\(741\) −35.9392 + 31.1427i −1.32026 + 1.14406i
\(742\) −22.4034 22.4034i −0.822455 0.822455i
\(743\) −3.08551 1.43880i −0.113196 0.0527843i 0.365195 0.930931i \(-0.381002\pi\)
−0.478392 + 0.878147i \(0.658780\pi\)
\(744\) −2.32757 + 5.50938i −0.0853329 + 0.201984i
\(745\) 2.79541 + 19.4085i 0.102416 + 0.711072i
\(746\) −20.5488 + 24.4891i −0.752346 + 0.896611i
\(747\) 5.10512 + 9.13663i 0.186787 + 0.334292i
\(748\) 10.2006 + 2.73324i 0.372971 + 0.0999373i
\(749\) 15.7199 27.2277i 0.574393 0.994878i
\(750\) −12.0059 + 15.1940i −0.438394 + 0.554807i
\(751\) 31.9133 + 11.6155i 1.16453 + 0.423856i 0.850715 0.525627i \(-0.176169\pi\)
0.313819 + 0.949483i \(0.398391\pi\)
\(752\) 2.43276 + 9.07919i 0.0887137 + 0.331084i
\(753\) 16.0729 30.3529i 0.585730 1.10612i
\(754\) 27.3948 4.83044i 0.997658 0.175914i
\(755\) −7.30262 + 2.40041i −0.265769 + 0.0873598i
\(756\) 15.4928 0.349319i 0.563466 0.0127046i
\(757\) 33.2232 23.2632i 1.20752 0.845514i 0.216117 0.976367i \(-0.430661\pi\)
0.991402 + 0.130853i \(0.0417717\pi\)
\(758\) −10.2904 4.79851i −0.373765 0.174290i
\(759\) 6.86120 29.9509i 0.249046 1.08715i
\(760\) 9.73352 + 0.508593i 0.353072 + 0.0184486i
\(761\) 4.27771i 0.155067i −0.996990 0.0775334i \(-0.975296\pi\)
0.996990 0.0775334i \(-0.0247044\pi\)
\(762\) 10.7124 13.7593i 0.388068 0.498445i
\(763\) 8.38158 + 11.9701i 0.303434 + 0.433348i
\(764\) 16.6035 13.9320i 0.600695 0.504043i
\(765\) 8.20124 + 10.7305i 0.296516 + 0.387962i
\(766\) 0.111542 + 0.632588i 0.00403019 + 0.0228563i
\(767\) −27.1558 7.27636i −0.980538 0.262734i
\(768\) −0.0633846 1.73089i −0.00228720 0.0624581i
\(769\) 13.3480 36.6734i 0.481342 1.32248i −0.427001 0.904251i \(-0.640430\pi\)
0.908343 0.418226i \(-0.137348\pi\)
\(770\) 21.6297 + 27.4904i 0.779479 + 0.990685i
\(771\) −4.63026 4.30312i −0.166755 0.154973i
\(772\) 1.45701 5.43764i 0.0524390 0.195705i
\(773\) 21.5214 30.7358i 0.774072 1.10549i −0.217516 0.976057i \(-0.569795\pi\)
0.991588