Properties

Label 570.2.bf.a.29.35
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 29.35
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.35

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(1.20820 - 1.24107i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.18236 - 0.487123i) q^{5} +(0.974336 - 1.43202i) q^{6} +(1.28021 + 0.739129i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.0805041 - 2.99892i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(1.20820 - 1.24107i) q^{3} +(0.939693 - 0.342020i) q^{4} +(2.18236 - 0.487123i) q^{5} +(0.974336 - 1.43202i) q^{6} +(1.28021 + 0.739129i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-0.0805041 - 2.99892i) q^{9} +(2.06462 - 0.858686i) q^{10} +(-2.81878 + 1.62742i) q^{11} +(0.710866 - 1.57945i) q^{12} +(-3.29541 - 2.76518i) q^{13} +(1.38911 + 0.505594i) q^{14} +(2.03218 - 3.29701i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.748773 + 4.24650i) q^{17} +(-0.600038 - 2.93938i) q^{18} +(1.45278 + 4.10968i) q^{19} +(1.88415 - 1.20416i) q^{20} +(2.46406 - 0.695812i) q^{21} +(-2.49335 + 2.09217i) q^{22} +(-7.23936 + 2.63491i) q^{23} +(0.425798 - 1.67890i) q^{24} +(4.52542 - 2.12616i) q^{25} +(-3.72551 - 2.15093i) q^{26} +(-3.81913 - 3.52338i) q^{27} +(1.45580 + 0.256697i) q^{28} +(-0.791685 + 4.48987i) q^{29} +(1.42879 - 3.59980i) q^{30} +(2.19798 + 1.26901i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-1.38590 + 5.46455i) q^{33} +(1.47480 + 4.05197i) q^{34} +(3.15393 + 0.989429i) q^{35} +(-1.10134 - 2.79053i) q^{36} -4.11020 q^{37} +(2.14434 + 3.79497i) q^{38} +(-7.41329 + 0.748943i) q^{39} +(1.64642 - 1.51304i) q^{40} +(1.02830 - 0.862846i) q^{41} +(2.30580 - 1.11312i) q^{42} +(2.81406 - 7.73157i) q^{43} +(-2.09217 + 2.49335i) q^{44} +(-1.63653 - 6.50552i) q^{45} +(-6.67183 + 3.85198i) q^{46} +(2.06260 - 11.6976i) q^{47} +(0.127791 - 1.72733i) q^{48} +(-2.40738 - 4.16970i) q^{49} +(4.08747 - 2.87969i) q^{50} +(6.17487 + 4.20135i) q^{51} +(-4.04242 - 1.47132i) q^{52} +(-0.503212 - 1.38256i) q^{53} +(-4.37294 - 2.80667i) q^{54} +(-5.35884 + 4.92472i) q^{55} +1.47826 q^{56} +(6.85564 + 3.16232i) q^{57} +4.55913i q^{58} +(2.10421 + 11.9336i) q^{59} +(0.781981 - 3.79322i) q^{60} +(8.53541 - 3.10664i) q^{61} +(2.38495 + 0.868051i) q^{62} +(2.11353 - 3.89875i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-8.53877 - 4.42935i) q^{65} +(-0.415941 + 5.62219i) q^{66} +(-2.31594 + 13.1344i) q^{67} +(2.15601 + 3.73431i) q^{68} +(-5.47649 + 12.1680i) q^{69} +(3.27783 + 0.426723i) q^{70} +(2.08000 + 0.757058i) q^{71} +(-1.56918 - 2.55689i) q^{72} +(-7.62144 - 9.08287i) q^{73} +(-4.04776 + 0.713729i) q^{74} +(2.82891 - 8.18519i) q^{75} +(2.77076 + 3.36495i) q^{76} -4.81150 q^{77} +(-7.17062 + 2.02487i) q^{78} +(4.55951 + 5.43381i) q^{79} +(1.35867 - 1.77595i) q^{80} +(-8.98704 + 0.482851i) q^{81} +(0.862846 - 1.02830i) q^{82} +(-1.29300 + 2.23955i) q^{83} +(2.07748 - 1.49661i) q^{84} +(3.70267 + 8.90267i) q^{85} +(1.42874 - 8.10277i) q^{86} +(4.61572 + 6.40720i) q^{87} +(-1.62742 + 2.81878i) q^{88} +(-3.44561 - 2.89121i) q^{89} +(-2.74134 - 6.12250i) q^{90} +(-2.17499 - 5.97574i) q^{91} +(-5.90158 + 4.95202i) q^{92} +(4.23053 - 1.19463i) q^{93} -11.8780i q^{94} +(5.17241 + 8.26113i) q^{95} +(-0.174098 - 1.72328i) q^{96} +(1.63353 + 9.26423i) q^{97} +(-3.09486 - 3.68831i) q^{98} +(5.10743 + 8.32227i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) 1.20820 1.24107i 0.697555 0.716531i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 2.18236 0.487123i 0.975983 0.217848i
\(6\) 0.974336 1.43202i 0.397771 0.584618i
\(7\) 1.28021 + 0.739129i 0.483874 + 0.279365i 0.722029 0.691862i \(-0.243210\pi\)
−0.238156 + 0.971227i \(0.576543\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −0.0805041 2.99892i −0.0268347 0.999640i
\(10\) 2.06462 0.858686i 0.652890 0.271540i
\(11\) −2.81878 + 1.62742i −0.849893 + 0.490686i −0.860615 0.509257i \(-0.829920\pi\)
0.0107218 + 0.999943i \(0.496587\pi\)
\(12\) 0.710866 1.57945i 0.205209 0.455949i
\(13\) −3.29541 2.76518i −0.913982 0.766922i 0.0588900 0.998264i \(-0.481244\pi\)
−0.972872 + 0.231342i \(0.925688\pi\)
\(14\) 1.38911 + 0.505594i 0.371255 + 0.135126i
\(15\) 2.03218 3.29701i 0.524706 0.851283i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.748773 + 4.24650i 0.181604 + 1.02993i 0.930241 + 0.366949i \(0.119597\pi\)
−0.748637 + 0.662980i \(0.769291\pi\)
\(18\) −0.600038 2.93938i −0.141430 0.692818i
\(19\) 1.45278 + 4.10968i 0.333290 + 0.942824i
\(20\) 1.88415 1.20416i 0.421308 0.269258i
\(21\) 2.46406 0.695812i 0.537702 0.151839i
\(22\) −2.49335 + 2.09217i −0.531585 + 0.446053i
\(23\) −7.23936 + 2.63491i −1.50951 + 0.549417i −0.958503 0.285083i \(-0.907979\pi\)
−0.551008 + 0.834500i \(0.685757\pi\)
\(24\) 0.425798 1.67890i 0.0869156 0.342703i
\(25\) 4.52542 2.12616i 0.905084 0.425232i
\(26\) −3.72551 2.15093i −0.730633 0.421831i
\(27\) −3.81913 3.52338i −0.734992 0.678076i
\(28\) 1.45580 + 0.256697i 0.275120 + 0.0485112i
\(29\) −0.791685 + 4.48987i −0.147012 + 0.833748i 0.818717 + 0.574197i \(0.194686\pi\)
−0.965729 + 0.259551i \(0.916426\pi\)
\(30\) 1.42879 3.59980i 0.260860 0.657231i
\(31\) 2.19798 + 1.26901i 0.394769 + 0.227920i 0.684225 0.729271i \(-0.260141\pi\)
−0.289455 + 0.957192i \(0.593474\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −1.38590 + 5.46455i −0.241255 + 0.951255i
\(34\) 1.47480 + 4.05197i 0.252925 + 0.694907i
\(35\) 3.15393 + 0.989429i 0.533111 + 0.167244i
\(36\) −1.10134 2.79053i −0.183557 0.465088i
\(37\) −4.11020 −0.675713 −0.337857 0.941198i \(-0.609702\pi\)
−0.337857 + 0.941198i \(0.609702\pi\)
\(38\) 2.14434 + 3.79497i 0.347858 + 0.615625i
\(39\) −7.41329 + 0.748943i −1.18708 + 0.119927i
\(40\) 1.64642 1.51304i 0.260322 0.239233i
\(41\) 1.02830 0.862846i 0.160593 0.134754i −0.558950 0.829201i \(-0.688796\pi\)
0.719543 + 0.694448i \(0.244351\pi\)
\(42\) 2.30580 1.11312i 0.355792 0.171758i
\(43\) 2.81406 7.73157i 0.429140 1.17905i −0.517195 0.855867i \(-0.673024\pi\)
0.946335 0.323186i \(-0.104754\pi\)
\(44\) −2.09217 + 2.49335i −0.315407 + 0.375887i
\(45\) −1.63653 6.50552i −0.243960 0.969785i
\(46\) −6.67183 + 3.85198i −0.983708 + 0.567944i
\(47\) 2.06260 11.6976i 0.300861 1.70627i −0.341513 0.939877i \(-0.610939\pi\)
0.642374 0.766391i \(-0.277949\pi\)
\(48\) 0.127791 1.72733i 0.0184451 0.249319i
\(49\) −2.40738 4.16970i −0.343911 0.595671i
\(50\) 4.08747 2.87969i 0.578055 0.407250i
\(51\) 6.17487 + 4.20135i 0.864655 + 0.588306i
\(52\) −4.04242 1.47132i −0.560583 0.204035i
\(53\) −0.503212 1.38256i −0.0691214 0.189910i 0.900322 0.435224i \(-0.143331\pi\)
−0.969443 + 0.245315i \(0.921109\pi\)
\(54\) −4.37294 2.80667i −0.595082 0.381940i
\(55\) −5.35884 + 4.92472i −0.722586 + 0.664049i
\(56\) 1.47826 0.197541
\(57\) 6.85564 + 3.16232i 0.908051 + 0.418859i
\(58\) 4.55913i 0.598643i
\(59\) 2.10421 + 11.9336i 0.273945 + 1.55362i 0.742293 + 0.670075i \(0.233738\pi\)
−0.468349 + 0.883544i \(0.655151\pi\)
\(60\) 0.781981 3.79322i 0.100953 0.489702i
\(61\) 8.53541 3.10664i 1.09285 0.397764i 0.268173 0.963371i \(-0.413580\pi\)
0.824675 + 0.565607i \(0.191358\pi\)
\(62\) 2.38495 + 0.868051i 0.302889 + 0.110243i
\(63\) 2.11353 3.89875i 0.266279 0.491196i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −8.53877 4.42935i −1.05910 0.549394i
\(66\) −0.415941 + 5.62219i −0.0511988 + 0.692043i
\(67\) −2.31594 + 13.1344i −0.282937 + 1.60462i 0.429625 + 0.903008i \(0.358646\pi\)
−0.712562 + 0.701609i \(0.752465\pi\)
\(68\) 2.15601 + 3.73431i 0.261454 + 0.452852i
\(69\) −5.47649 + 12.1680i −0.659292 + 1.46486i
\(70\) 3.27783 + 0.426723i 0.391775 + 0.0510032i
\(71\) 2.08000 + 0.757058i 0.246850 + 0.0898462i 0.462482 0.886629i \(-0.346959\pi\)
−0.215632 + 0.976475i \(0.569181\pi\)
\(72\) −1.56918 2.55689i −0.184929 0.301332i
\(73\) −7.62144 9.08287i −0.892022 1.06307i −0.997640 0.0686633i \(-0.978127\pi\)
0.105618 0.994407i \(-0.466318\pi\)
\(74\) −4.04776 + 0.713729i −0.470542 + 0.0829693i
\(75\) 2.82891 8.18519i 0.326654 0.945144i
\(76\) 2.77076 + 3.36495i 0.317827 + 0.385987i
\(77\) −4.81150 −0.548321
\(78\) −7.17062 + 2.02487i −0.811912 + 0.229271i
\(79\) 4.55951 + 5.43381i 0.512985 + 0.611351i 0.958907 0.283720i \(-0.0915687\pi\)
−0.445922 + 0.895072i \(0.647124\pi\)
\(80\) 1.35867 1.77595i 0.151904 0.198558i
\(81\) −8.98704 + 0.482851i −0.998560 + 0.0536501i
\(82\) 0.862846 1.02830i 0.0952854 0.113557i
\(83\) −1.29300 + 2.23955i −0.141926 + 0.245823i −0.928222 0.372027i \(-0.878663\pi\)
0.786296 + 0.617850i \(0.211996\pi\)
\(84\) 2.07748 1.49661i 0.226671 0.163293i
\(85\) 3.70267 + 8.90267i 0.401611 + 0.965630i
\(86\) 1.42874 8.10277i 0.154065 0.873744i
\(87\) 4.61572 + 6.40720i 0.494857 + 0.686923i
\(88\) −1.62742 + 2.81878i −0.173484 + 0.300483i
\(89\) −3.44561 2.89121i −0.365234 0.306467i 0.441639 0.897193i \(-0.354397\pi\)
−0.806873 + 0.590725i \(0.798842\pi\)
\(90\) −2.74134 6.12250i −0.288963 0.645369i
\(91\) −2.17499 5.97574i −0.228001 0.626428i
\(92\) −5.90158 + 4.95202i −0.615282 + 0.516283i
\(93\) 4.23053 1.19463i 0.438685 0.123878i
\(94\) 11.8780i 1.22513i
\(95\) 5.17241 + 8.26113i 0.530678 + 0.847574i
\(96\) −0.174098 1.72328i −0.0177688 0.175881i
\(97\) 1.63353 + 9.26423i 0.165860 + 0.940640i 0.948173 + 0.317754i \(0.102929\pi\)
−0.782313 + 0.622886i \(0.785960\pi\)
\(98\) −3.09486 3.68831i −0.312628 0.372576i
\(99\) 5.10743 + 8.32227i 0.513316 + 0.836419i
\(100\) 3.52532 3.54572i 0.352532 0.354572i
\(101\) 6.36950 7.59088i 0.633789 0.755321i −0.349586 0.936904i \(-0.613678\pi\)
0.983376 + 0.181584i \(0.0581223\pi\)
\(102\) 6.81062 + 3.06527i 0.674352 + 0.303506i
\(103\) 8.07822 + 13.9919i 0.795971 + 1.37866i 0.922221 + 0.386663i \(0.126372\pi\)
−0.126250 + 0.991998i \(0.540294\pi\)
\(104\) −4.23650 0.747009i −0.415423 0.0732503i
\(105\) 5.03853 2.71882i 0.491710 0.265329i
\(106\) −0.735646 1.27418i −0.0714523 0.123759i
\(107\) −9.45606 5.45946i −0.914152 0.527786i −0.0323873 0.999475i \(-0.510311\pi\)
−0.881765 + 0.471689i \(0.843644\pi\)
\(108\) −4.79388 2.00468i −0.461291 0.192900i
\(109\) −1.84788 + 5.07700i −0.176995 + 0.486289i −0.996188 0.0872281i \(-0.972199\pi\)
0.819194 + 0.573517i \(0.194421\pi\)
\(110\) −4.42226 + 5.78045i −0.421646 + 0.551144i
\(111\) −4.96595 + 5.10104i −0.471347 + 0.484170i
\(112\) 1.45580 0.256697i 0.137560 0.0242556i
\(113\) 12.3088i 1.15792i −0.815357 0.578959i \(-0.803459\pi\)
0.815357 0.578959i \(-0.196541\pi\)
\(114\) 7.30061 + 1.92381i 0.683765 + 0.180181i
\(115\) −14.5154 + 9.27680i −1.35357 + 0.865066i
\(116\) 0.791685 + 4.48987i 0.0735061 + 0.416874i
\(117\) −8.02725 + 10.1053i −0.742120 + 0.934233i
\(118\) 4.14449 + 11.3869i 0.381531 + 1.04825i
\(119\) −2.18013 + 5.98986i −0.199852 + 0.549089i
\(120\) 0.111416 3.87138i 0.0101708 0.353407i
\(121\) −0.203002 + 0.351609i −0.0184547 + 0.0319645i
\(122\) 7.86628 4.54160i 0.712180 0.411177i
\(123\) 0.171541 2.31868i 0.0154673 0.209068i
\(124\) 2.49945 + 0.440721i 0.224457 + 0.0395779i
\(125\) 8.84041 6.84449i 0.790711 0.612190i
\(126\) 1.40441 4.20653i 0.125115 0.374747i
\(127\) −0.979491 0.821891i −0.0869158 0.0729310i 0.598295 0.801276i \(-0.295845\pi\)
−0.685210 + 0.728345i \(0.740290\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −6.19546 12.8337i −0.545480 1.12995i
\(130\) −9.17819 2.87932i −0.804981 0.252533i
\(131\) 10.3496 1.82492i 0.904252 0.159444i 0.297860 0.954610i \(-0.403727\pi\)
0.606392 + 0.795166i \(0.292616\pi\)
\(132\) 0.566661 + 5.60900i 0.0493215 + 0.488201i
\(133\) −1.17772 + 6.33504i −0.102122 + 0.549317i
\(134\) 13.3370i 1.15214i
\(135\) −10.0511 5.82892i −0.865057 0.501673i
\(136\) 2.77171 + 3.30319i 0.237672 + 0.283247i
\(137\) −6.87090 + 2.50080i −0.587021 + 0.213658i −0.618419 0.785849i \(-0.712226\pi\)
0.0313977 + 0.999507i \(0.490004\pi\)
\(138\) −3.28033 + 12.9342i −0.279240 + 1.10103i
\(139\) −0.409647 0.343735i −0.0347458 0.0291552i 0.625249 0.780425i \(-0.284997\pi\)
−0.659995 + 0.751270i \(0.729442\pi\)
\(140\) 3.30213 0.148948i 0.279081 0.0125884i
\(141\) −12.0255 16.6929i −1.01273 1.40579i
\(142\) 2.17986 + 0.384368i 0.182930 + 0.0322555i
\(143\) 13.7891 + 2.43140i 1.15311 + 0.203324i
\(144\) −1.98934 2.24556i −0.165778 0.187130i
\(145\) 0.459374 + 10.1842i 0.0381490 + 0.845750i
\(146\) −9.08287 7.62144i −0.751704 0.630755i
\(147\) −8.08347 2.05011i −0.666714 0.169090i
\(148\) −3.86233 + 1.40577i −0.317481 + 0.115554i
\(149\) −2.54088 3.02810i −0.208157 0.248072i 0.651857 0.758342i \(-0.273990\pi\)
−0.860014 + 0.510270i \(0.829546\pi\)
\(150\) 1.36459 8.55207i 0.111418 0.698274i
\(151\) 4.79732i 0.390400i −0.980763 0.195200i \(-0.937464\pi\)
0.980763 0.195200i \(-0.0625356\pi\)
\(152\) 3.31298 + 2.83270i 0.268718 + 0.229762i
\(153\) 12.6746 2.58737i 1.02468 0.209177i
\(154\) −4.73840 + 0.835508i −0.381831 + 0.0673271i
\(155\) 5.41496 + 1.69874i 0.434940 + 0.136446i
\(156\) −6.71006 + 3.23927i −0.537235 + 0.259349i
\(157\) −1.75281 + 4.81581i −0.139890 + 0.384344i −0.989778 0.142620i \(-0.954447\pi\)
0.849888 + 0.526963i \(0.176670\pi\)
\(158\) 5.43381 + 4.55951i 0.432291 + 0.362735i
\(159\) −2.32384 1.04589i −0.184292 0.0829446i
\(160\) 1.02964 1.98490i 0.0814001 0.156920i
\(161\) −11.2154 1.97758i −0.883901 0.155856i
\(162\) −8.76666 + 2.03610i −0.688774 + 0.159971i
\(163\) 5.20311 3.00402i 0.407539 0.235293i −0.282193 0.959358i \(-0.591062\pi\)
0.689732 + 0.724065i \(0.257728\pi\)
\(164\) 0.671175 1.16251i 0.0524100 0.0907767i
\(165\) −0.362640 + 12.6007i −0.0282315 + 0.980966i
\(166\) −0.884467 + 2.43005i −0.0686480 + 0.188609i
\(167\) −4.24497 11.6630i −0.328486 0.902508i −0.988495 0.151251i \(-0.951670\pi\)
0.660009 0.751257i \(-0.270552\pi\)
\(168\) 1.78603 1.83462i 0.137795 0.141544i
\(169\) 0.956097 + 5.42229i 0.0735459 + 0.417099i
\(170\) 5.19235 + 8.12446i 0.398235 + 0.623118i
\(171\) 12.2076 4.68761i 0.933541 0.358470i
\(172\) 8.22777i 0.627361i
\(173\) 4.05361 0.714761i 0.308190 0.0543423i −0.0174140 0.999848i \(-0.505543\pi\)
0.325604 + 0.945506i \(0.394432\pi\)
\(174\) 5.65820 + 5.50834i 0.428947 + 0.417586i
\(175\) 7.36500 + 0.622942i 0.556741 + 0.0470900i
\(176\) −1.11322 + 3.05855i −0.0839122 + 0.230547i
\(177\) 17.3527 + 11.8067i 1.30431 + 0.887444i
\(178\) −3.89531 2.24896i −0.291966 0.168567i
\(179\) 2.65771 + 4.60328i 0.198646 + 0.344066i 0.948090 0.318003i \(-0.103012\pi\)
−0.749443 + 0.662068i \(0.769679\pi\)
\(180\) −3.76286 5.55346i −0.280467 0.413930i
\(181\) −25.3198 4.46457i −1.88201 0.331849i −0.889791 0.456369i \(-0.849150\pi\)
−0.992217 + 0.124520i \(0.960261\pi\)
\(182\) −3.17963 5.50727i −0.235690 0.408226i
\(183\) 6.45694 14.3465i 0.477311 1.06052i
\(184\) −4.95202 + 5.90158i −0.365067 + 0.435070i
\(185\) −8.96996 + 2.00217i −0.659484 + 0.147203i
\(186\) 3.95881 1.91111i 0.290274 0.140129i
\(187\) −9.02147 10.7514i −0.659716 0.786218i
\(188\) −2.06260 11.6976i −0.150431 0.853134i
\(189\) −2.28505 7.33350i −0.166213 0.533434i
\(190\) 6.52835 + 7.23744i 0.473617 + 0.525059i
\(191\) 11.5816i 0.838015i −0.907983 0.419007i \(-0.862378\pi\)
0.907983 0.419007i \(-0.137622\pi\)
\(192\) −0.470697 1.66687i −0.0339696 0.120296i
\(193\) −0.0914143 + 0.0767057i −0.00658015 + 0.00552140i −0.646072 0.763277i \(-0.723589\pi\)
0.639492 + 0.768798i \(0.279145\pi\)
\(194\) 3.21743 + 8.83982i 0.230998 + 0.634662i
\(195\) −15.8137 + 5.24565i −1.13244 + 0.375649i
\(196\) −3.68831 3.09486i −0.263451 0.221062i
\(197\) 10.0727 17.4464i 0.717649 1.24301i −0.244279 0.969705i \(-0.578551\pi\)
0.961929 0.273300i \(-0.0881152\pi\)
\(198\) 6.47498 + 7.30894i 0.460157 + 0.519424i
\(199\) −4.04530 + 22.9420i −0.286764 + 1.62632i 0.412153 + 0.911115i \(0.364777\pi\)
−0.698917 + 0.715203i \(0.746334\pi\)
\(200\) 2.85605 4.10402i 0.201953 0.290198i
\(201\) 13.5025 + 18.7432i 0.952394 + 1.32204i
\(202\) 4.95459 8.58161i 0.348604 0.603800i
\(203\) −4.33212 + 5.16281i −0.304055 + 0.362359i
\(204\) 7.23943 + 1.83605i 0.506861 + 0.128549i
\(205\) 1.82381 2.38395i 0.127381 0.166502i
\(206\) 10.3852 + 12.3766i 0.723568 + 0.862315i
\(207\) 8.48469 + 21.4981i 0.589727 + 1.49422i
\(208\) −4.30185 −0.298280
\(209\) −10.7832 9.21998i −0.745891 0.637759i
\(210\) 4.48986 3.55244i 0.309830 0.245142i
\(211\) 24.9212 4.39428i 1.71565 0.302515i 0.772530 0.634978i \(-0.218991\pi\)
0.943116 + 0.332463i \(0.107880\pi\)
\(212\) −0.945728 1.12708i −0.0649529 0.0774078i
\(213\) 3.45262 1.66674i 0.236569 0.114203i
\(214\) −10.2604 3.73449i −0.701388 0.255285i
\(215\) 2.37508 18.2439i 0.161979 1.24422i
\(216\) −5.06916 1.14177i −0.344912 0.0776879i
\(217\) 1.87592 + 3.24919i 0.127346 + 0.220569i
\(218\) −0.938193 + 5.32075i −0.0635424 + 0.360367i
\(219\) −20.4807 1.51520i −1.38396 0.102388i
\(220\) −3.35131 + 6.46055i −0.225945 + 0.435570i
\(221\) 9.27482 16.0645i 0.623892 1.08061i
\(222\) −4.00472 + 5.88588i −0.268779 + 0.395034i
\(223\) −22.3261 8.12604i −1.49507 0.544160i −0.540289 0.841479i \(-0.681685\pi\)
−0.954778 + 0.297319i \(0.903907\pi\)
\(224\) 1.38911 0.505594i 0.0928137 0.0337814i
\(225\) −6.74050 13.4002i −0.449366 0.893348i
\(226\) −2.13741 12.1218i −0.142178 0.806333i
\(227\) 12.6657i 0.840650i 0.907374 + 0.420325i \(0.138084\pi\)
−0.907374 + 0.420325i \(0.861916\pi\)
\(228\) 7.52377 + 0.626840i 0.498274 + 0.0415135i
\(229\) 14.4298 0.953547 0.476773 0.879026i \(-0.341806\pi\)
0.476773 + 0.879026i \(0.341806\pi\)
\(230\) −12.6840 + 11.6564i −0.836356 + 0.768602i
\(231\) −5.81325 + 5.97140i −0.382484 + 0.392889i
\(232\) 1.55931 + 4.28418i 0.102374 + 0.281270i
\(233\) 2.30660 + 0.839533i 0.151110 + 0.0549996i 0.416468 0.909150i \(-0.363268\pi\)
−0.265358 + 0.964150i \(0.585490\pi\)
\(234\) −6.15054 + 11.3457i −0.402073 + 0.741690i
\(235\) −1.19682 26.5331i −0.0780720 1.73083i
\(236\) 6.05883 + 10.4942i 0.394396 + 0.683115i
\(237\) 12.2525 + 0.906467i 0.795887 + 0.0588814i
\(238\) −1.10688 + 6.27743i −0.0717484 + 0.406905i
\(239\) −26.6345 + 15.3774i −1.72284 + 0.994682i −0.809922 + 0.586537i \(0.800491\pi\)
−0.912917 + 0.408145i \(0.866176\pi\)
\(240\) −0.562535 3.83191i −0.0363115 0.247349i
\(241\) 3.73432 4.45039i 0.240549 0.286675i −0.632240 0.774772i \(-0.717864\pi\)
0.872789 + 0.488097i \(0.162309\pi\)
\(242\) −0.138861 + 0.381518i −0.00892634 + 0.0245249i
\(243\) −10.2589 + 11.7369i −0.658108 + 0.752923i
\(244\) 6.95813 5.83857i 0.445449 0.373776i
\(245\) −7.28493 7.92711i −0.465417 0.506444i
\(246\) −0.233700 2.31324i −0.0149002 0.147487i
\(247\) 6.57649 17.5603i 0.418452 1.11733i
\(248\) 2.53801 0.161164
\(249\) 1.21723 + 4.31053i 0.0771386 + 0.273169i
\(250\) 7.51758 8.27563i 0.475453 0.523397i
\(251\) 6.20880 + 17.0585i 0.391896 + 1.07672i 0.966135 + 0.258037i \(0.0830758\pi\)
−0.574239 + 0.818688i \(0.694702\pi\)
\(252\) 0.652615 4.38649i 0.0411109 0.276323i
\(253\) 16.1180 19.2087i 1.01333 1.20764i
\(254\) −1.10733 0.639317i −0.0694801 0.0401143i
\(255\) 15.5224 + 6.16095i 0.972050 + 0.385813i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −29.4280 5.18895i −1.83567 0.323678i −0.854890 0.518809i \(-0.826376\pi\)
−0.980777 + 0.195132i \(0.937487\pi\)
\(258\) −8.32989 11.5629i −0.518596 0.719876i
\(259\) −5.26192 3.03797i −0.326960 0.188770i
\(260\) −9.53874 1.24180i −0.591568 0.0770132i
\(261\) 13.5285 + 2.01275i 0.837392 + 0.124586i
\(262\) 9.87551 3.59439i 0.610111 0.222062i
\(263\) 6.37410 5.34851i 0.393044 0.329803i −0.424754 0.905309i \(-0.639639\pi\)
0.817798 + 0.575506i \(0.195195\pi\)
\(264\) 1.53204 + 5.42539i 0.0942908 + 0.333910i
\(265\) −1.77167 2.77213i −0.108833 0.170290i
\(266\) −0.0597642 + 6.44330i −0.00366438 + 0.395064i
\(267\) −7.75117 + 0.783078i −0.474364 + 0.0479236i
\(268\) 2.31594 + 13.1344i 0.141469 + 0.802308i
\(269\) 12.4453 10.4428i 0.758802 0.636711i −0.179013 0.983847i \(-0.557290\pi\)
0.937815 + 0.347136i \(0.112846\pi\)
\(270\) −10.9105 3.99502i −0.663994 0.243129i
\(271\) −10.5460 3.83843i −0.640624 0.233168i 0.00122479 0.999999i \(-0.499610\pi\)
−0.641849 + 0.766831i \(0.721832\pi\)
\(272\) 3.30319 + 2.77171i 0.200286 + 0.168060i
\(273\) −10.0441 4.52058i −0.607899 0.273598i
\(274\) −6.33226 + 3.65593i −0.382546 + 0.220863i
\(275\) −9.29599 + 13.3579i −0.560570 + 0.805514i
\(276\) −0.984501 + 13.3073i −0.0592600 + 0.801005i
\(277\) 16.8897 9.75128i 1.01480 0.585898i 0.102210 0.994763i \(-0.467409\pi\)
0.912595 + 0.408865i \(0.134075\pi\)
\(278\) −0.463113 0.267378i −0.0277757 0.0160363i
\(279\) 3.62870 6.69373i 0.217245 0.400743i
\(280\) 3.22610 0.720094i 0.192796 0.0430338i
\(281\) −0.926183 + 0.337103i −0.0552515 + 0.0201099i −0.369498 0.929232i \(-0.620470\pi\)
0.314247 + 0.949341i \(0.398248\pi\)
\(282\) −14.7415 14.3510i −0.877841 0.854592i
\(283\) 9.06457 1.59833i 0.538833 0.0950107i 0.102393 0.994744i \(-0.467350\pi\)
0.436440 + 0.899733i \(0.356239\pi\)
\(284\) 2.21349 0.131346
\(285\) 16.5019 + 3.56179i 0.977490 + 0.210982i
\(286\) 14.0019 0.827947
\(287\) 1.95419 0.344577i 0.115352 0.0203397i
\(288\) −2.34905 1.86600i −0.138419 0.109955i
\(289\) −1.49736 + 0.544996i −0.0880802 + 0.0320586i
\(290\) 2.22086 + 9.94968i 0.130413 + 0.584265i
\(291\) 13.4712 + 9.16571i 0.789694 + 0.537304i
\(292\) −10.2683 5.92843i −0.600909 0.346935i
\(293\) 10.4808 6.05108i 0.612294 0.353508i −0.161569 0.986861i \(-0.551655\pi\)
0.773863 + 0.633354i \(0.218322\pi\)
\(294\) −8.31667 0.615284i −0.485038 0.0358841i
\(295\) 10.4053 + 25.0184i 0.605818 + 1.45663i
\(296\) −3.55954 + 2.05510i −0.206894 + 0.119450i
\(297\) 16.4993 + 3.71630i 0.957387 + 0.215641i
\(298\) −3.02810 2.54088i −0.175413 0.147189i
\(299\) 31.1427 + 11.3350i 1.80103 + 0.655520i
\(300\) −0.141197 8.65910i −0.00815204 0.499934i
\(301\) 9.31722 7.81807i 0.537036 0.450626i
\(302\) −0.833045 4.72443i −0.0479364 0.271861i
\(303\) −1.72517 17.0763i −0.0991083 0.981007i
\(304\) 3.75454 + 2.21437i 0.215338 + 0.127003i
\(305\) 17.1141 10.9376i 0.979948 0.626286i
\(306\) 12.0328 4.74899i 0.687869 0.271482i
\(307\) 5.37432 4.50959i 0.306729 0.257376i −0.476410 0.879223i \(-0.658062\pi\)
0.783138 + 0.621848i \(0.213618\pi\)
\(308\) −4.52133 + 1.64563i −0.257627 + 0.0937684i
\(309\) 27.1250 + 6.87937i 1.54309 + 0.391354i
\(310\) 5.62768 + 0.732638i 0.319631 + 0.0416111i
\(311\) −5.59973 3.23301i −0.317532 0.183327i 0.332760 0.943011i \(-0.392020\pi\)
−0.650292 + 0.759685i \(0.725353\pi\)
\(312\) −6.04563 + 4.35525i −0.342266 + 0.246567i
\(313\) 13.0662 + 2.30393i 0.738546 + 0.130226i 0.530251 0.847841i \(-0.322098\pi\)
0.208295 + 0.978066i \(0.433209\pi\)
\(314\) −0.889926 + 5.04702i −0.0502214 + 0.284820i
\(315\) 2.71331 9.53803i 0.152878 0.537407i
\(316\) 6.14301 + 3.54667i 0.345571 + 0.199516i
\(317\) 17.7824 21.1922i 0.998758 1.19027i 0.0170548 0.999855i \(-0.494571\pi\)
0.981703 0.190419i \(-0.0609845\pi\)
\(318\) −2.47015 0.626473i −0.138519 0.0351308i
\(319\) −5.07532 13.9443i −0.284164 0.780733i
\(320\) 0.669321 2.13354i 0.0374162 0.119269i
\(321\) −18.2004 + 5.13950i −1.01585 + 0.286859i
\(322\) −11.3885 −0.634654
\(323\) −16.3640 + 9.24644i −0.910515 + 0.514486i
\(324\) −8.27991 + 3.52748i −0.459995 + 0.195971i
\(325\) −20.7923 5.50703i −1.15335 0.305475i
\(326\) 4.60242 3.86189i 0.254905 0.213890i
\(327\) 4.06831 + 8.42738i 0.224978 + 0.466035i
\(328\) 0.459111 1.26140i 0.0253502 0.0696490i
\(329\) 11.2866 13.4508i 0.622250 0.741568i
\(330\) 1.83096 + 12.4723i 0.100791 + 0.686576i
\(331\) −19.1889 + 11.0787i −1.05472 + 0.608941i −0.923966 0.382475i \(-0.875072\pi\)
−0.130750 + 0.991415i \(0.541739\pi\)
\(332\) −0.449056 + 2.54672i −0.0246451 + 0.139770i
\(333\) 0.330888 + 12.3262i 0.0181326 + 0.675470i
\(334\) −6.20574 10.7487i −0.339563 0.588140i
\(335\) 1.34382 + 29.7921i 0.0734209 + 1.62772i
\(336\) 1.44032 2.11689i 0.0785759 0.115486i
\(337\) −0.337706 0.122915i −0.0183960 0.00669561i 0.332806 0.942995i \(-0.392005\pi\)
−0.351202 + 0.936300i \(0.614227\pi\)
\(338\) 1.88314 + 5.17389i 0.102429 + 0.281423i
\(339\) −15.2761 14.8715i −0.829685 0.807711i
\(340\) 6.52426 + 7.09939i 0.353828 + 0.385018i
\(341\) −8.26082 −0.447349
\(342\) 11.2082 6.73622i 0.606069 0.364253i
\(343\) 17.4653i 0.943035i
\(344\) −1.42874 8.10277i −0.0770323 0.436872i
\(345\) −6.02436 + 29.2228i −0.324341 + 1.57330i
\(346\) 3.86791 1.40780i 0.207940 0.0756840i
\(347\) −9.09244 3.30938i −0.488108 0.177657i 0.0862298 0.996275i \(-0.472518\pi\)
−0.574338 + 0.818619i \(0.694740\pi\)
\(348\) 6.52875 + 4.44212i 0.349978 + 0.238123i
\(349\) 12.0168 20.8137i 0.643245 1.11413i −0.341459 0.939897i \(-0.610921\pi\)
0.984704 0.174236i \(-0.0557456\pi\)
\(350\) 7.36128 0.665440i 0.393477 0.0355693i
\(351\) 2.84282 + 22.1716i 0.151739 + 1.18343i
\(352\) −0.565197 + 3.20539i −0.0301251 + 0.170848i
\(353\) −6.31913 10.9451i −0.336333 0.582546i 0.647407 0.762145i \(-0.275854\pi\)
−0.983740 + 0.179598i \(0.942520\pi\)
\(354\) 19.1393 + 8.61404i 1.01724 + 0.457831i
\(355\) 4.90810 + 0.638960i 0.260495 + 0.0339125i
\(356\) −4.22666 1.53838i −0.224013 0.0815339i
\(357\) 4.79979 + 9.94264i 0.254032 + 0.526220i
\(358\) 3.41668 + 4.07184i 0.180577 + 0.215204i
\(359\) −9.62079 + 1.69640i −0.507766 + 0.0895328i −0.421662 0.906753i \(-0.638553\pi\)
−0.0861044 + 0.996286i \(0.527442\pi\)
\(360\) −4.67004 4.81568i −0.246133 0.253808i
\(361\) −14.7789 + 11.9409i −0.777836 + 0.628468i
\(362\) −25.7104 −1.35131
\(363\) 0.191104 + 0.676753i 0.0100304 + 0.0355203i
\(364\) −4.08765 4.87147i −0.214251 0.255334i
\(365\) −21.0572 16.1096i −1.10219 0.843213i
\(366\) 3.86760 15.2498i 0.202163 0.797118i
\(367\) 17.3910 20.7258i 0.907802 1.08188i −0.0885101 0.996075i \(-0.528211\pi\)
0.996312 0.0858013i \(-0.0273450\pi\)
\(368\) −3.85198 + 6.67183i −0.200799 + 0.347793i
\(369\) −2.67039 3.01433i −0.139015 0.156920i
\(370\) −8.48601 + 3.52937i −0.441167 + 0.183483i
\(371\) 0.377676 2.14191i 0.0196080 0.111202i
\(372\) 3.56680 2.56951i 0.184930 0.133223i
\(373\) 14.7375 25.5261i 0.763079 1.32169i −0.178178 0.983998i \(-0.557020\pi\)
0.941256 0.337693i \(-0.109647\pi\)
\(374\) −10.7514 9.02147i −0.555940 0.466489i
\(375\) 2.18651 19.2411i 0.112911 0.993605i
\(376\) −4.06253 11.1617i −0.209509 0.575621i
\(377\) 15.0242 12.6068i 0.773786 0.649284i
\(378\) −3.52379 6.82529i −0.181244 0.351055i
\(379\) 9.76267i 0.501475i 0.968055 + 0.250737i \(0.0806730\pi\)
−0.968055 + 0.250737i \(0.919327\pi\)
\(380\) 7.68594 + 5.99385i 0.394281 + 0.307478i
\(381\) −2.20344 + 0.222607i −0.112886 + 0.0114045i
\(382\) −2.01112 11.4056i −0.102898 0.583563i
\(383\) 13.5937 + 16.2003i 0.694604 + 0.827797i 0.991904 0.126987i \(-0.0405306\pi\)
−0.297300 + 0.954784i \(0.596086\pi\)
\(384\) −0.752994 1.55981i −0.0384261 0.0795986i
\(385\) −10.5004 + 2.34379i −0.535152 + 0.119451i
\(386\) −0.0767057 + 0.0914143i −0.00390422 + 0.00465287i
\(387\) −23.4129 7.81672i −1.19014 0.397346i
\(388\) 4.70357 + 8.14682i 0.238788 + 0.413592i
\(389\) 16.3233 + 2.87824i 0.827625 + 0.145933i 0.571387 0.820681i \(-0.306406\pi\)
0.256238 + 0.966614i \(0.417517\pi\)
\(390\) −14.6625 + 7.91197i −0.742466 + 0.400638i
\(391\) −16.6098 28.7690i −0.839994 1.45491i
\(392\) −4.16970 2.40738i −0.210602 0.121591i
\(393\) 10.2396 15.0495i 0.516519 0.759146i
\(394\) 6.89012 18.9305i 0.347119 0.953703i
\(395\) 12.5974 + 9.63750i 0.633846 + 0.484915i
\(396\) 7.64580 + 6.07353i 0.384216 + 0.305206i
\(397\) −28.9935 + 5.11234i −1.45514 + 0.256581i −0.844598 0.535401i \(-0.820161\pi\)
−0.610545 + 0.791982i \(0.709049\pi\)
\(398\) 23.2959i 1.16772i
\(399\) 6.43929 + 9.11563i 0.322368 + 0.456352i
\(400\) 2.10001 4.53762i 0.105000 0.226881i
\(401\) −0.524009 2.97180i −0.0261678 0.148405i 0.968924 0.247357i \(-0.0795620\pi\)
−0.995092 + 0.0989522i \(0.968451\pi\)
\(402\) 16.5521 + 16.1137i 0.825544 + 0.803680i
\(403\) −3.73423 10.2597i −0.186015 0.511072i
\(404\) 3.38914 9.31159i 0.168616 0.463269i
\(405\) −19.3778 + 5.43155i −0.962890 + 0.269896i
\(406\) −3.36979 + 5.83664i −0.167240 + 0.289668i
\(407\) 11.5857 6.68903i 0.574284 0.331563i
\(408\) 7.44827 + 0.551038i 0.368744 + 0.0272805i
\(409\) 2.11348 + 0.372663i 0.104505 + 0.0184270i 0.225656 0.974207i \(-0.427547\pi\)
−0.121151 + 0.992634i \(0.538659\pi\)
\(410\) 1.38214 2.66444i 0.0682588 0.131587i
\(411\) −5.19776 + 11.5487i −0.256386 + 0.569657i
\(412\) 12.3766 + 10.3852i 0.609749 + 0.511640i
\(413\) −6.12662 + 16.8328i −0.301471 + 0.828286i
\(414\) 12.0889 + 19.6982i 0.594137 + 0.968113i
\(415\) −1.73087 + 5.51736i −0.0849651 + 0.270837i
\(416\) −4.23650 + 0.747009i −0.207711 + 0.0366251i
\(417\) −0.921535 + 0.0930999i −0.0451278 + 0.00455912i
\(418\) −12.2204 7.20742i −0.597721 0.352526i
\(419\) 23.8617i 1.16572i −0.812573 0.582859i \(-0.801934\pi\)
0.812573 0.582859i \(-0.198066\pi\)
\(420\) 3.80478 4.27813i 0.185654 0.208751i
\(421\) −5.91970 7.05483i −0.288509 0.343831i 0.602250 0.798307i \(-0.294271\pi\)
−0.890759 + 0.454476i \(0.849827\pi\)
\(422\) 23.7795 8.65504i 1.15757 0.421321i
\(423\) −35.2462 5.24387i −1.71373 0.254966i
\(424\) −1.12708 0.945728i −0.0547356 0.0459286i
\(425\) 12.4173 + 17.6252i 0.602326 + 0.854948i
\(426\) 3.11074 2.24096i 0.150716 0.108575i
\(427\) 13.2233 + 2.33163i 0.639922 + 0.112835i
\(428\) −10.7530 1.89605i −0.519768 0.0916491i
\(429\) 19.6776 14.1757i 0.950042 0.684407i
\(430\) −0.829023 18.3792i −0.0399790 0.886322i
\(431\) 5.05850 + 4.24459i 0.243660 + 0.204455i 0.756436 0.654067i \(-0.226939\pi\)
−0.512777 + 0.858522i \(0.671383\pi\)
\(432\) −5.19041 0.244179i −0.249724 0.0117481i
\(433\) −15.0200 + 5.46683i −0.721815 + 0.262719i −0.676696 0.736262i \(-0.736589\pi\)
−0.0451190 + 0.998982i \(0.514367\pi\)
\(434\) 2.41163 + 2.87407i 0.115762 + 0.137960i
\(435\) 13.1943 + 11.7344i 0.632617 + 0.562622i
\(436\) 5.40284i 0.258749i
\(437\) −21.3458 25.9235i −1.02111 1.24009i
\(438\) −20.4327 + 2.06425i −0.976310 + 0.0986337i
\(439\) 13.4451 2.37074i 0.641701 0.113149i 0.156677 0.987650i \(-0.449922\pi\)
0.485024 + 0.874501i \(0.338811\pi\)
\(440\) −2.17853 + 6.94435i −0.103858 + 0.331059i
\(441\) −12.3108 + 7.55520i −0.586228 + 0.359772i
\(442\) 6.34435 17.4310i 0.301770 0.829107i
\(443\) 8.77593 + 7.36388i 0.416957 + 0.349869i 0.827004 0.562196i \(-0.190043\pi\)
−0.410047 + 0.912064i \(0.634488\pi\)
\(444\) −2.92180 + 6.49187i −0.138663 + 0.308090i
\(445\) −8.92794 4.63123i −0.423225 0.219541i
\(446\) −23.3980 4.12570i −1.10793 0.195358i
\(447\) −6.82798 0.505148i −0.322952 0.0238927i
\(448\) 1.28021 0.739129i 0.0604842 0.0349206i
\(449\) −12.0850 + 20.9319i −0.570328 + 0.987836i 0.426204 + 0.904627i \(0.359850\pi\)
−0.996532 + 0.0832095i \(0.973483\pi\)
\(450\) −8.96502 12.0262i −0.422615 0.566919i
\(451\) −1.49433 + 4.10565i −0.0703654 + 0.193327i
\(452\) −4.20987 11.5665i −0.198016 0.544043i
\(453\) −5.95380 5.79612i −0.279734 0.272325i
\(454\) 2.19937 + 12.4733i 0.103222 + 0.585399i
\(455\) −7.65755 11.9818i −0.358991 0.561713i
\(456\) 7.51831 0.689172i 0.352077 0.0322734i
\(457\) 31.4742i 1.47230i 0.676818 + 0.736150i \(0.263358\pi\)
−0.676818 + 0.736150i \(0.736642\pi\)
\(458\) 14.2106 2.50570i 0.664016 0.117084i
\(459\) 12.1024 18.8562i 0.564892 0.880131i
\(460\) −10.4672 + 13.6819i −0.488034 + 0.637922i
\(461\) −11.7029 + 32.1534i −0.545058 + 1.49753i 0.295248 + 0.955421i \(0.404598\pi\)
−0.840305 + 0.542113i \(0.817624\pi\)
\(462\) −4.68801 + 6.89014i −0.218106 + 0.320558i
\(463\) 15.9360 + 9.20064i 0.740608 + 0.427590i 0.822290 0.569068i \(-0.192696\pi\)
−0.0816824 + 0.996658i \(0.526029\pi\)
\(464\) 2.27957 + 3.94832i 0.105826 + 0.183296i
\(465\) 8.65061 4.66791i 0.401162 0.216469i
\(466\) 2.41734 + 0.426242i 0.111981 + 0.0197453i
\(467\) 15.9343 + 27.5990i 0.737351 + 1.27713i 0.953684 + 0.300810i \(0.0972570\pi\)
−0.216333 + 0.976320i \(0.569410\pi\)
\(468\) −4.08694 + 12.2413i −0.188919 + 0.565856i
\(469\) −12.6729 + 15.1029i −0.585179 + 0.697389i
\(470\) −5.78607 25.9222i −0.266891 1.19570i
\(471\) 3.85901 + 7.99382i 0.177814 + 0.368336i
\(472\) 7.78909 + 9.28267i 0.358522 + 0.427270i
\(473\) 4.65031 + 26.3732i 0.213822 + 1.21264i
\(474\) 12.2238 1.23493i 0.561457 0.0567224i
\(475\) 15.3123 + 15.5092i 0.702574 + 0.711610i
\(476\) 6.37427i 0.292164i
\(477\) −4.10568 + 1.62039i −0.187986 + 0.0741927i
\(478\) −23.5596 + 19.7688i −1.07759 + 0.904205i
\(479\) −8.97820 24.6674i −0.410224 1.12708i −0.957072 0.289850i \(-0.906394\pi\)
0.546848 0.837232i \(-0.315828\pi\)
\(480\) −1.21939 3.67601i −0.0556575 0.167786i
\(481\) 13.5448 + 11.3654i 0.617590 + 0.518220i
\(482\) 2.90479 5.03124i 0.132309 0.229167i
\(483\) −16.0048 + 11.5298i −0.728244 + 0.524625i
\(484\) −0.0705017 + 0.399835i −0.00320462 + 0.0181743i
\(485\) 8.07778 + 19.4222i 0.366793 + 0.881916i
\(486\) −8.06494 + 13.3400i −0.365833 + 0.605117i
\(487\) 7.30221 12.6478i 0.330895 0.573126i −0.651793 0.758397i \(-0.725983\pi\)
0.982688 + 0.185271i \(0.0593162\pi\)
\(488\) 5.83857 6.95813i 0.264300 0.314980i
\(489\) 2.55821 10.0869i 0.115686 0.456144i
\(490\) −8.55078 6.54166i −0.386285 0.295522i
\(491\) −0.299707 0.357177i −0.0135256 0.0161192i 0.759239 0.650812i \(-0.225571\pi\)
−0.772765 + 0.634692i \(0.781127\pi\)
\(492\) −0.631840 2.23752i −0.0284856 0.100875i
\(493\) −19.6590 −0.885399
\(494\) 3.42727 18.4355i 0.154200 0.829451i
\(495\) 15.2002 + 15.6743i 0.683200 + 0.704506i
\(496\) 2.49945 0.440721i 0.112229 0.0197890i
\(497\) 2.10327 + 2.50658i 0.0943446 + 0.112436i
\(498\) 1.94725 + 4.03368i 0.0872584 + 0.180753i
\(499\) −7.85290 2.85822i −0.351544 0.127952i 0.160211 0.987083i \(-0.448782\pi\)
−0.511756 + 0.859131i \(0.671005\pi\)
\(500\) 5.96632 9.45532i 0.266822 0.422855i
\(501\) −19.6033 8.82290i −0.875812 0.394178i
\(502\) 9.07666 + 15.7212i 0.405111 + 0.701673i
\(503\) −1.95218 + 11.0714i −0.0870436 + 0.493649i 0.909853 + 0.414930i \(0.136194\pi\)
−0.996897 + 0.0787187i \(0.974917\pi\)
\(504\) −0.119006 4.43318i −0.00530094 0.197469i
\(505\) 10.2029 19.6688i 0.454022 0.875250i
\(506\) 12.5376 21.7158i 0.557364 0.965383i
\(507\) 7.88460 + 5.36463i 0.350167 + 0.238252i
\(508\) −1.20152 0.437319i −0.0533090 0.0194029i
\(509\) −2.39322 + 0.871062i −0.106078 + 0.0386091i −0.394514 0.918890i \(-0.629087\pi\)
0.288436 + 0.957499i \(0.406865\pi\)
\(510\) 16.3564 + 3.37191i 0.724274 + 0.149311i
\(511\) −3.04362 17.2612i −0.134642 0.763591i
\(512\) 1.00000i 0.0441942i
\(513\) 8.93163 20.8141i 0.394341 0.918964i
\(514\) −29.8820 −1.31804
\(515\) 24.4454 + 26.6003i 1.07719 + 1.17215i
\(516\) −10.2112 9.94079i −0.449524 0.437619i
\(517\) 13.2229 + 36.3296i 0.581542 + 1.59777i
\(518\) −5.70952 2.07809i −0.250862 0.0913062i
\(519\) 4.01051 5.89439i 0.176042 0.258735i
\(520\) −9.60947 + 0.433451i −0.421403 + 0.0190081i
\(521\) −5.34154 9.25182i −0.234017 0.405330i 0.724969 0.688781i \(-0.241854\pi\)
−0.958987 + 0.283451i \(0.908521\pi\)
\(522\) 13.6725 0.367029i 0.598428 0.0160644i
\(523\) −6.46521 + 36.6660i −0.282704 + 1.60329i 0.430670 + 0.902510i \(0.358277\pi\)
−0.713374 + 0.700784i \(0.752834\pi\)
\(524\) 9.10132 5.25465i 0.397593 0.229550i
\(525\) 9.67150 8.38783i 0.422099 0.366075i
\(526\) 5.34851 6.37410i 0.233206 0.277924i
\(527\) −3.74305 + 10.2839i −0.163050 + 0.447975i
\(528\) 2.45088 + 5.07693i 0.106661 + 0.220945i
\(529\) 27.8466 23.3661i 1.21072 1.01592i
\(530\) −2.22613 2.42237i −0.0966968 0.105221i
\(531\) 35.6184 7.27106i 1.54571 0.315537i
\(532\) 1.06001 + 6.35579i 0.0459573 + 0.275559i
\(533\) −5.77459 −0.250125
\(534\) −7.49743 + 2.11716i −0.324446 + 0.0916184i
\(535\) −23.2960 7.30826i −1.00717 0.315964i
\(536\) 4.56151 + 12.5327i 0.197027 + 0.541328i
\(537\) 8.92403 + 2.26329i 0.385100 + 0.0976682i
\(538\) 10.4428 12.4453i 0.450222 0.536554i
\(539\) 13.5717 + 7.83563i 0.584575 + 0.337504i
\(540\) −11.4385 2.03973i −0.492235 0.0877760i
\(541\) 1.13016 6.40946i 0.0485894 0.275564i −0.950827 0.309722i \(-0.899764\pi\)
0.999416 + 0.0341582i \(0.0108750\pi\)
\(542\) −11.0523 1.94882i −0.474738 0.0837091i
\(543\) −36.1323 + 26.0296i −1.55058 + 1.11704i
\(544\) 3.73431 + 2.15601i 0.160107 + 0.0924380i
\(545\) −1.55962 + 11.9800i −0.0668066 + 0.513167i
\(546\) −10.6765 2.70775i −0.456913 0.115881i
\(547\) −15.1317 + 5.50749i −0.646985 + 0.235483i −0.644607 0.764514i \(-0.722979\pi\)
−0.00237778 + 0.999997i \(0.500757\pi\)
\(548\) −5.60121 + 4.69998i −0.239272 + 0.200773i
\(549\) −10.0037 25.3469i −0.426947 1.08178i
\(550\) −6.83519 + 14.7692i −0.291453 + 0.629762i
\(551\) −19.6020 + 3.26921i −0.835075 + 0.139273i
\(552\) 1.34124 + 13.2761i 0.0570871 + 0.565068i
\(553\) 1.82084 + 10.3265i 0.0774299 + 0.439127i
\(554\) 14.9398 12.5360i 0.634733 0.532604i
\(555\) −8.35267 + 13.5514i −0.354551 + 0.575223i
\(556\) −0.502507 0.182898i −0.0213110 0.00775658i
\(557\) −14.6705 12.3100i −0.621609 0.521592i 0.276700 0.960956i \(-0.410759\pi\)
−0.898309 + 0.439365i \(0.855204\pi\)
\(558\) 2.41122 7.22216i 0.102075 0.305738i
\(559\) −30.6527 + 17.6973i −1.29647 + 0.748517i
\(560\) 3.05204 1.26936i 0.128972 0.0536403i
\(561\) −24.2429 1.79354i −1.02354 0.0757234i
\(562\) −0.853575 + 0.492812i −0.0360059 + 0.0207880i
\(563\) −5.79723 3.34703i −0.244324 0.141061i 0.372838 0.927896i \(-0.378385\pi\)
−0.617163 + 0.786836i \(0.711718\pi\)
\(564\) −17.0095 11.5732i −0.716231 0.487319i
\(565\) −5.99592 26.8624i −0.252250 1.13011i
\(566\) 8.64931 3.14809i 0.363558 0.132324i
\(567\) −11.8622 6.02443i −0.498165 0.253002i
\(568\) 2.17986 0.384368i 0.0914649 0.0161277i
\(569\) −8.36559 −0.350704 −0.175352 0.984506i \(-0.556106\pi\)
−0.175352 + 0.984506i \(0.556106\pi\)
\(570\) 16.8697 + 0.642144i 0.706595 + 0.0268964i
\(571\) −20.1454 −0.843060 −0.421530 0.906814i \(-0.638507\pi\)
−0.421530 + 0.906814i \(0.638507\pi\)
\(572\) 13.7891 2.43140i 0.576553 0.101662i
\(573\) −14.3736 13.9929i −0.600464 0.584561i
\(574\) 1.86467 0.678684i 0.0778298 0.0283277i
\(575\) −27.1589 + 27.3161i −1.13261 + 1.13916i
\(576\) −2.63739 1.42974i −0.109891 0.0595726i
\(577\) −6.73746 3.88988i −0.280484 0.161938i 0.353158 0.935564i \(-0.385108\pi\)
−0.633643 + 0.773626i \(0.718441\pi\)
\(578\) −1.37998 + 0.796731i −0.0573995 + 0.0331396i
\(579\) −0.0152497 + 0.206127i −0.000633757 + 0.00856636i
\(580\) 3.91486 + 9.41288i 0.162556 + 0.390848i
\(581\) −3.31063 + 1.91140i −0.137348 + 0.0792980i
\(582\) 14.8581 + 6.68722i 0.615889 + 0.277194i
\(583\) 3.66845 + 3.07820i 0.151932 + 0.127486i
\(584\) −11.1418 4.05528i −0.461051 0.167809i
\(585\) −12.5959 + 25.9637i −0.520775 + 1.07347i
\(586\) 9.27079 7.77912i 0.382973 0.321352i
\(587\) −1.97128 11.1797i −0.0813632 0.461434i −0.998082 0.0619014i \(-0.980284\pi\)
0.916719 0.399533i \(-0.130828\pi\)
\(588\) −8.29716 + 0.838237i −0.342169 + 0.0345683i
\(589\) −2.02203 + 10.8766i −0.0833161 + 0.448161i
\(590\) 14.5916 + 22.8314i 0.600726 + 0.939956i
\(591\) −9.48237 33.5797i −0.390053 1.38128i
\(592\) −3.14860 + 2.64199i −0.129407 + 0.108585i
\(593\) −24.3330 + 8.85648i −0.999236 + 0.363692i −0.789290 0.614021i \(-0.789551\pi\)
−0.209946 + 0.977713i \(0.567329\pi\)
\(594\) 16.8940 + 0.794764i 0.693168 + 0.0326096i
\(595\) −1.84004 + 14.1340i −0.0754342 + 0.579439i
\(596\) −3.42332 1.97645i −0.140225 0.0809587i
\(597\) 23.5851 + 32.7391i 0.965274 + 1.33992i
\(598\) 32.6378 + 5.75493i 1.33466 + 0.235337i
\(599\) 4.49458 25.4900i 0.183643 1.04149i −0.744043 0.668132i \(-0.767094\pi\)
0.927686 0.373361i \(-0.121795\pi\)
\(600\) −1.64269 8.50303i −0.0670625 0.347135i
\(601\) 24.4980 + 14.1439i 0.999294 + 0.576943i 0.908039 0.418885i \(-0.137579\pi\)
0.0912547 + 0.995828i \(0.470912\pi\)
\(602\) 7.81807 9.31722i 0.318641 0.379741i
\(603\) 39.5753 + 5.88795i 1.61163 + 0.239776i
\(604\) −1.64078 4.50800i −0.0667623 0.183428i
\(605\) −0.271746 + 0.866225i −0.0110481 + 0.0352171i
\(606\) −4.66423 16.5173i −0.189471 0.670969i
\(607\) −42.0994 −1.70876 −0.854381 0.519647i \(-0.826063\pi\)
−0.854381 + 0.519647i \(0.826063\pi\)
\(608\) 4.08202 + 1.52876i 0.165548 + 0.0619993i
\(609\) 1.17334 + 11.6142i 0.0475463 + 0.470630i
\(610\) 14.9548 13.7433i 0.605501 0.556449i
\(611\) −39.1430 + 32.8449i −1.58356 + 1.32876i
\(612\) 11.0253 6.76632i 0.445673 0.273512i
\(613\) 9.34878 25.6856i 0.377594 1.03743i −0.594757 0.803906i \(-0.702752\pi\)
0.972351 0.233525i \(-0.0750260\pi\)
\(614\) 4.50959 5.37432i 0.181992 0.216890i
\(615\) −0.755119 5.14377i −0.0304493 0.207417i
\(616\) −4.16688 + 2.40575i −0.167888 + 0.0969304i
\(617\) −5.70210 + 32.3382i −0.229558 + 1.30189i 0.624220 + 0.781249i \(0.285417\pi\)
−0.853778 + 0.520638i \(0.825694\pi\)
\(618\) 27.9075 + 2.06465i 1.12260 + 0.0830526i
\(619\) 16.3880 + 28.3849i 0.658690 + 1.14088i 0.980955 + 0.194235i \(0.0622225\pi\)
−0.322265 + 0.946649i \(0.604444\pi\)
\(620\) 5.66940 0.255728i 0.227689 0.0102703i
\(621\) 36.9319 + 15.4440i 1.48203 + 0.619746i
\(622\) −6.07606 2.21151i −0.243628 0.0886733i
\(623\) −2.27412 6.24810i −0.0911108 0.250325i
\(624\) −5.19750 + 5.33890i −0.208067 + 0.213727i
\(625\) 15.9589 19.2435i 0.638356 0.769742i
\(626\) 13.2678 0.530287
\(627\) −24.4709 + 2.24315i −0.977275 + 0.0895826i
\(628\) 5.12488i 0.204505i
\(629\) −3.07761 17.4540i −0.122712 0.695936i
\(630\) 1.01583 9.86429i 0.0404717 0.393003i
\(631\) −14.5454 + 5.29409i −0.579042 + 0.210754i −0.614903 0.788603i \(-0.710805\pi\)
0.0358608 + 0.999357i \(0.488583\pi\)
\(632\) 6.66555 + 2.42606i 0.265141 + 0.0965036i
\(633\) 24.6562 36.2381i 0.979996 1.44034i
\(634\) 13.8322 23.9581i 0.549348 0.951499i
\(635\) −2.53797 1.31653i −0.100716 0.0522450i
\(636\) −2.54141 0.188018i −0.100773 0.00745542i
\(637\) −3.59666 + 20.3977i −0.142505 + 0.808186i
\(638\) −7.41963 12.8512i −0.293746 0.508783i
\(639\) 2.10291 6.29870i 0.0831897 0.249173i
\(640\) 0.288666 2.21736i 0.0114105 0.0876487i
\(641\) 35.9483 + 13.0841i 1.41987 + 0.516791i 0.934010 0.357246i \(-0.116284\pi\)
0.485860 + 0.874037i \(0.338506\pi\)
\(642\) −17.0314 + 8.22189i −0.672176 + 0.324492i
\(643\) 6.24965 + 7.44804i 0.246462 + 0.293722i 0.875066 0.484003i \(-0.160818\pi\)
−0.628604 + 0.777726i \(0.716373\pi\)
\(644\) −11.2154 + 1.97758i −0.441950 + 0.0779278i
\(645\) −19.7724 24.9899i −0.778536 0.983977i
\(646\) −14.5097 + 11.9475i −0.570878 + 0.470069i
\(647\) 11.4994 0.452090 0.226045 0.974117i \(-0.427420\pi\)
0.226045 + 0.974117i \(0.427420\pi\)
\(648\) −7.54158 + 4.91168i −0.296261 + 0.192949i
\(649\) −25.3522 30.2136i −0.995163 1.18599i
\(650\) −21.4327 1.81281i −0.840661 0.0711044i
\(651\) 6.29895 + 1.59752i 0.246875 + 0.0626119i
\(652\) 3.86189 4.60242i 0.151243 0.180245i
\(653\) −13.7942 + 23.8922i −0.539807 + 0.934973i 0.459107 + 0.888381i \(0.348169\pi\)
−0.998914 + 0.0465920i \(0.985164\pi\)
\(654\) 5.46990 + 7.59290i 0.213890 + 0.296906i
\(655\) 21.6977 9.02419i 0.847800 0.352604i
\(656\) 0.233097 1.32196i 0.00910089 0.0516137i
\(657\) −26.6253 + 23.5873i −1.03875 + 0.920228i
\(658\) 8.77941 15.2064i 0.342257 0.592806i
\(659\) 20.6532 + 17.3301i 0.804533 + 0.675083i 0.949296 0.314383i \(-0.101798\pi\)
−0.144763 + 0.989466i \(0.546242\pi\)
\(660\) 3.96893 + 11.9648i 0.154491 + 0.465731i
\(661\) 11.9285 + 32.7733i 0.463965 + 1.27473i 0.922479 + 0.386046i \(0.126160\pi\)
−0.458514 + 0.888687i \(0.651618\pi\)
\(662\) −16.9736 + 14.2425i −0.659696 + 0.553551i
\(663\) −8.73127 30.9198i −0.339094 1.20083i
\(664\) 2.58601i 0.100357i
\(665\) 0.515721 + 14.3990i 0.0199988 + 0.558371i
\(666\) 2.46628 + 12.0814i 0.0955663 + 0.468147i
\(667\) −6.09912 34.5898i −0.236159 1.33932i
\(668\) −7.97794 9.50774i −0.308676 0.367866i
\(669\) −37.0594 + 17.8904i −1.43280 + 0.691682i
\(670\) 6.49675 + 29.1061i 0.250991 + 1.12447i
\(671\) −19.0036 + 22.6476i −0.733626 + 0.874302i
\(672\) 1.05084 2.33484i 0.0405372 0.0900684i
\(673\) 7.40599 + 12.8275i 0.285480 + 0.494466i 0.972725 0.231960i \(-0.0745137\pi\)
−0.687246 + 0.726425i \(0.741180\pi\)
\(674\) −0.353920 0.0624056i −0.0136325 0.00240377i
\(675\) −24.7745 7.82472i −0.953569 0.301174i
\(676\) 2.75297 + 4.76828i 0.105883 + 0.183396i
\(677\) −18.6874 10.7891i −0.718213 0.414661i 0.0958814 0.995393i \(-0.469433\pi\)
−0.814095 + 0.580732i \(0.802766\pi\)
\(678\) −17.6264 11.9929i −0.676940 0.460586i
\(679\) −4.75620 + 13.0675i −0.182526 + 0.501486i
\(680\) 7.65794 + 5.85861i 0.293669 + 0.224667i
\(681\) 15.7190 + 15.3027i 0.602352 + 0.586400i
\(682\) −8.13532 + 1.43448i −0.311518 + 0.0549290i
\(683\) 17.1907i 0.657782i −0.944368 0.328891i \(-0.893325\pi\)
0.944368 0.328891i \(-0.106675\pi\)
\(684\) 9.86817 8.58017i 0.377319 0.328071i
\(685\) −13.7766 + 8.80464i −0.526377 + 0.336408i
\(686\) −3.03281 17.1999i −0.115793 0.656696i
\(687\) 17.4341 17.9084i 0.665151 0.683246i
\(688\) −2.81406 7.73157i −0.107285 0.294763i
\(689\) −2.16474 + 5.94758i −0.0824701 + 0.226585i
\(690\) −0.858342 + 29.8250i −0.0326765 + 1.13542i
\(691\) −1.18086 + 2.04531i −0.0449220 + 0.0778072i −0.887612 0.460592i \(-0.847637\pi\)
0.842690 + 0.538399i \(0.180971\pi\)
\(692\) 3.56469 2.05807i 0.135509 0.0782362i
\(693\) 0.387345 + 14.4293i 0.0147140 + 0.548124i
\(694\) −9.52897 1.68021i −0.361715 0.0637801i
\(695\) −1.06144 0.550606i −0.0402627 0.0208857i
\(696\) 7.20093 + 3.24093i 0.272951 + 0.122847i
\(697\) 4.43404 + 3.72060i 0.167951 + 0.140928i
\(698\) 8.21998 22.5842i 0.311131 0.854825i
\(699\) 3.82875 1.84832i 0.144817 0.0699100i
\(700\) 7.13389 1.93360i 0.269636 0.0730833i
\(701\) 26.2374 4.62636i 0.990972 0.174735i 0.345417 0.938449i \(-0.387737\pi\)
0.645555 + 0.763714i \(0.276626\pi\)
\(702\) 6.64969 + 21.3411i 0.250976 + 0.805468i
\(703\) −5.97121 16.8916i −0.225208 0.637079i
\(704\) 3.25484i 0.122671i
\(705\) −34.3754 30.5720i −1.29465 1.15141i
\(706\) −8.12372 9.68147i −0.305740 0.364367i
\(707\) 13.7649 5.01003i 0.517684 0.188421i
\(708\) 20.3443 + 5.15967i 0.764586 + 0.193912i
\(709\) 33.7315 + 28.3041i 1.26681 + 1.06298i 0.994922 + 0.100654i \(0.0320935\pi\)
0.271891 + 0.962328i \(0.412351\pi\)
\(710\) 4.94448 0.223029i 0.185563 0.00837014i
\(711\) 15.9285 14.1110i 0.597365 0.529205i
\(712\) −4.42959 0.781056i −0.166006 0.0292713i
\(713\) −19.2557 3.39530i −0.721132 0.127155i
\(714\) 6.45339 + 8.95811i 0.241512 + 0.335249i
\(715\) 31.2773 1.41082i 1.16970 0.0527615i
\(716\) 4.07184 + 3.41668i 0.152172 + 0.127687i
\(717\) −13.0953 + 51.6342i −0.489054 + 1.92831i
\(718\) −9.18005 + 3.34127i −0.342596 + 0.124695i
\(719\) −24.3135 28.9757i −0.906741 1.08061i −0.996412 0.0846401i \(-0.973026\pi\)
0.0896708 0.995971i \(-0.471418\pi\)
\(720\) −5.43532 3.93157i −0.202563 0.146521i
\(721\) 23.8834i 0.889464i
\(722\) −12.4808 + 14.3258i −0.464489 + 0.533151i
\(723\) −1.01143 10.0115i −0.0376156 0.372332i
\(724\) −25.3198 + 4.46457i −0.941004 + 0.165924i
\(725\) 5.96347 + 22.0018i 0.221478 + 0.817126i
\(726\) 0.305718 + 0.633287i 0.0113463 + 0.0235035i
\(727\) −3.86750 + 10.6259i −0.143438 + 0.394092i −0.990520 0.137370i \(-0.956135\pi\)
0.847082 + 0.531462i \(0.178357\pi\)
\(728\) −4.87147 4.08765i −0.180549 0.151498i
\(729\) 2.17152 + 26.9125i 0.0804268 + 0.996761i
\(730\) −23.5347 12.2083i −0.871059 0.451848i
\(731\) 34.9392 + 6.16073i 1.29227 + 0.227863i
\(732\) 1.16075 15.6897i 0.0429027 0.579907i
\(733\) −29.1108 + 16.8071i −1.07523 + 0.620786i −0.929606 0.368554i \(-0.879853\pi\)
−0.145626 + 0.989340i \(0.546520\pi\)
\(734\) 13.5278 23.4308i 0.499320 0.864847i
\(735\) −18.6397 0.536438i −0.687537 0.0197868i
\(736\) −2.63491 + 7.23936i −0.0971242 + 0.266846i
\(737\) −14.8470 40.7918i −0.546896 1.50259i
\(738\) −3.15325 2.50482i −0.116073 0.0922038i
\(739\) 4.15936 + 23.5889i 0.153005 + 0.867732i 0.960588 + 0.277978i \(0.0896642\pi\)
−0.807583 + 0.589754i \(0.799225\pi\)
\(740\) −7.74422 + 4.94934i −0.284683 + 0.181941i
\(741\) −13.8478 29.3782i −0.508711 1.07923i
\(742\) 2.17495i 0.0798449i
\(743\) 37.1845 6.55664i 1.36417 0.240540i 0.556829 0.830627i \(-0.312018\pi\)
0.807339 + 0.590087i \(0.200907\pi\)
\(744\) 3.06643 3.14985i 0.112421 0.115479i
\(745\) −7.02018 5.37070i −0.257200 0.196767i
\(746\) 10.0810 27.6974i 0.369093 1.01408i
\(747\) 6.82032 + 3.69732i 0.249543 + 0.135278i
\(748\) −12.1546 7.01746i −0.444416 0.256584i
\(749\) −8.07049 13.9785i −0.294889 0.510763i
\(750\) −1.18789 19.3284i −0.0433756 0.705775i
\(751\) 14.6978 + 2.59162i 0.536331 + 0.0945696i 0.435252 0.900309i \(-0.356659\pi\)
0.101079 + 0.994878i \(0.467771\pi\)
\(752\) −5.93902 10.2867i −0.216574 0.375117i
\(753\) 28.6723 + 12.9046i 1.04488 + 0.470269i
\(754\) 12.6068 15.0242i 0.459113 0.547149i
\(755\) −2.33688 10.4695i −0.0850479 0.381024i
\(756\) −4.65545 6.10970i −0.169317 0.222208i
\(757\) −1.36076 1.62169i −0.0494576 0.0589413i 0.740749 0.671782i \(-0.234471\pi\)
−0.790206 + 0.612841i \(0.790027\pi\)
\(758\) 1.69527 + 9.61435i 0.0615750 + 0.349209i
\(759\) −4.36554 43.2116i −0.158459 1.56848i
\(760\) 8.61000 + 4.56814i 0.312317 + 0.165704i
\(761\) 33.4174i 1.21138i −0.795701 0.605690i \(-0.792897\pi\)
0.795701 0.605690i \(-0.207103\pi\)
\(762\) −2.13131 + 0.601850i −0.0772093 + 0.0218027i
\(763\) −6.11823 + 5.13381i −0.221495 + 0.185856i
\(764\) −3.96114 10.8831i −0.143309 0.393738i
\(765\) 26.4003 11.8207i 0.954506 0.427378i
\(766\) 16.2003 + 13.5937i 0.585341 + 0.491159i
\(767\) 26.0642 45.1445i 0.941124 1.63007i
\(768\) −1.01241 1.40535i −0.0365323 0.0507114i
\(769\) 2.70890 15.3629i 0.0976855 0.554002i −0.896206 0.443639i \(-0.853687\pi\)
0.993891 0.110363i \(-0.0352015\pi\)
\(770\) −9.93392 + 4.13157i −0.357994 + 0.148891i
\(771\) −41.9947 + 30.2529i −1.51240 + 1.08953i
\(772\) −0.0596665 + 0.103345i −0.00214744 + 0.00371948i
\(773\) −9.91263 + 11.8134i −0.356533 + 0.424899i −0.914262 0.405124i \(-0.867228\pi\)
0.557729 + 0.830023i \(0.311673\pi\)