Properties

Label 570.2.bf.a.29.5
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 29.5
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.23853 - 1.21080i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.86795 - 1.22913i) q^{5} +(1.42997 + 0.977341i) q^{6} +(-1.22822 - 0.709111i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0679076 + 2.99923i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.23853 - 1.21080i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.86795 - 1.22913i) q^{5} +(1.42997 + 0.977341i) q^{6} +(-1.22822 - 0.709111i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.0679076 + 2.99923i) q^{9} +(-1.62614 + 1.53482i) q^{10} +(4.15895 - 2.40117i) q^{11} +(-1.57796 - 0.714182i) q^{12} +(4.38640 + 3.68062i) q^{13} +(1.33269 + 0.485061i) q^{14} +(-3.80175 - 0.739407i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.869046 - 4.92861i) q^{17} +(-0.587687 - 2.94187i) q^{18} +(3.92152 + 1.90308i) q^{19} +(1.33491 - 1.79388i) q^{20} +(0.662587 + 2.36538i) q^{21} +(-3.67881 + 3.08688i) q^{22} +(-4.49116 + 1.63465i) q^{23} +(1.67800 + 0.429323i) q^{24} +(1.97847 - 4.59191i) q^{25} +(-4.95889 - 2.86302i) q^{26} +(3.54738 - 3.79686i) q^{27} +(-1.39668 - 0.246272i) q^{28} +(-0.843948 + 4.78627i) q^{29} +(3.87239 + 0.0680073i) q^{30} +(-8.38379 - 4.84038i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(-8.05832 - 2.06175i) q^{33} +(1.71169 + 4.70282i) q^{34} +(-3.16584 + 0.185055i) q^{35} +(1.08961 + 2.79513i) q^{36} +6.32334 q^{37} +(-4.19241 - 1.19320i) q^{38} +(-0.976165 - 9.86962i) q^{39} +(-1.00313 + 1.99843i) q^{40} +(3.61797 - 3.03584i) q^{41} +(-1.06327 - 2.21439i) q^{42} +(3.09131 - 8.49330i) q^{43} +(3.08688 - 3.67881i) q^{44} +(3.81330 + 5.51895i) q^{45} +(4.13907 - 2.38969i) q^{46} +(-0.195215 + 1.10712i) q^{47} +(-1.72706 - 0.131419i) q^{48} +(-2.49432 - 4.32029i) q^{49} +(-1.15104 + 4.86571i) q^{50} +(-4.89124 + 7.15647i) q^{51} +(5.38071 + 1.95842i) q^{52} +(-0.0601527 - 0.165268i) q^{53} +(-2.83417 + 4.35517i) q^{54} +(4.81735 - 9.59716i) q^{55} +1.41822 q^{56} +(-2.55266 - 7.10520i) q^{57} -4.86010i q^{58} +(-0.697387 - 3.95508i) q^{59} +(-3.82537 + 0.605459i) q^{60} +(0.668904 - 0.243461i) q^{61} +(9.09695 + 3.31102i) q^{62} +(2.04338 - 3.73186i) q^{63} +(0.500000 - 0.866025i) q^{64} +(12.7175 + 1.48376i) q^{65} +(8.29392 + 0.631117i) q^{66} +(2.07512 - 11.7686i) q^{67} +(-2.50232 - 4.33414i) q^{68} +(7.54166 + 3.41335i) q^{69} +(3.08561 - 0.731986i) q^{70} +(-11.1500 - 4.05828i) q^{71} +(-1.55843 - 2.56346i) q^{72} +(-0.496670 - 0.591909i) q^{73} +(-6.22728 + 1.09804i) q^{74} +(-8.01030 + 3.29167i) q^{75} +(4.33591 + 0.447070i) q^{76} -6.81079 q^{77} +(2.67518 + 9.55017i) q^{78} +(6.74377 + 8.03691i) q^{79} +(0.640862 - 2.14226i) q^{80} +(-8.99078 + 0.407341i) q^{81} +(-3.03584 + 3.61797i) q^{82} +(-1.06491 + 1.84448i) q^{83} +(1.43164 + 1.99612i) q^{84} +(-7.68124 - 8.13822i) q^{85} +(-1.56950 + 8.90107i) q^{86} +(6.84048 - 4.90607i) q^{87} +(-2.40117 + 4.15895i) q^{88} +(0.424481 + 0.356182i) q^{89} +(-4.71372 - 4.77293i) q^{90} +(-2.77747 - 7.63105i) q^{91} +(-3.66122 + 3.07213i) q^{92} +(4.52281 + 16.1461i) q^{93} -1.12420i q^{94} +(9.66433 - 1.26520i) q^{95} +(1.72364 - 0.170478i) q^{96} +(3.40129 + 19.2897i) q^{97} +(3.20664 + 3.82152i) q^{98} +(7.48409 + 12.3106i) 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
\(3\) −1.23853 1.21080i −0.715065 0.699058i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 1.86795 1.22913i 0.835373 0.549684i
\(6\) 1.42997 + 0.977341i 0.583781 + 0.398998i
\(7\) −1.22822 0.709111i −0.464222 0.268019i 0.249596 0.968350i \(-0.419702\pi\)
−0.713818 + 0.700331i \(0.753036\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 0.0679076 + 2.99923i 0.0226359 + 0.999744i
\(10\) −1.62614 + 1.53482i −0.514229 + 0.485354i
\(11\) 4.15895 2.40117i 1.25397 0.723980i 0.282075 0.959392i \(-0.408977\pi\)
0.971896 + 0.235413i \(0.0756441\pi\)
\(12\) −1.57796 0.714182i −0.455517 0.206166i
\(13\) 4.38640 + 3.68062i 1.21657 + 1.02082i 0.998997 + 0.0447764i \(0.0142575\pi\)
0.217570 + 0.976045i \(0.430187\pi\)
\(14\) 1.33269 + 0.485061i 0.356177 + 0.129638i
\(15\) −3.80175 0.739407i −0.981607 0.190914i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.869046 4.92861i −0.210775 1.19536i −0.888090 0.459670i \(-0.847968\pi\)
0.677315 0.735693i \(-0.263143\pi\)
\(18\) −0.587687 2.94187i −0.138519 0.693406i
\(19\) 3.92152 + 1.90308i 0.899658 + 0.436596i
\(20\) 1.33491 1.79388i 0.298495 0.401124i
\(21\) 0.662587 + 2.36538i 0.144588 + 0.516169i
\(22\) −3.67881 + 3.08688i −0.784324 + 0.658126i
\(23\) −4.49116 + 1.63465i −0.936471 + 0.340847i −0.764771 0.644302i \(-0.777148\pi\)
−0.171700 + 0.985149i \(0.554926\pi\)
\(24\) 1.67800 + 0.429323i 0.342520 + 0.0876351i
\(25\) 1.97847 4.59191i 0.395695 0.918382i
\(26\) −4.95889 2.86302i −0.972518 0.561484i
\(27\) 3.54738 3.79686i 0.682693 0.730706i
\(28\) −1.39668 0.246272i −0.263947 0.0465410i
\(29\) −0.843948 + 4.78627i −0.156717 + 0.888787i 0.800482 + 0.599357i \(0.204577\pi\)
−0.957199 + 0.289430i \(0.906534\pi\)
\(30\) 3.87239 + 0.0680073i 0.706998 + 0.0124164i
\(31\) −8.38379 4.84038i −1.50577 0.869359i −0.999978 0.00670539i \(-0.997866\pi\)
−0.505796 0.862653i \(-0.668801\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −8.05832 2.06175i −1.40277 0.358905i
\(34\) 1.71169 + 4.70282i 0.293552 + 0.806527i
\(35\) −3.16584 + 0.185055i −0.535124 + 0.0312800i
\(36\) 1.08961 + 2.79513i 0.181602 + 0.465855i
\(37\) 6.32334 1.03955 0.519775 0.854303i \(-0.326016\pi\)
0.519775 + 0.854303i \(0.326016\pi\)
\(38\) −4.19241 1.19320i −0.680098 0.193563i
\(39\) −0.976165 9.86962i −0.156311 1.58040i
\(40\) −1.00313 + 1.99843i −0.158608 + 0.315980i
\(41\) 3.61797 3.03584i 0.565032 0.474118i −0.314961 0.949105i \(-0.601992\pi\)
0.879993 + 0.474987i \(0.157547\pi\)
\(42\) −1.06327 2.21439i −0.164065 0.341688i
\(43\) 3.09131 8.49330i 0.471420 1.29522i −0.445190 0.895436i \(-0.646864\pi\)
0.916611 0.399781i \(-0.130914\pi\)
\(44\) 3.08688 3.67881i 0.465365 0.554601i
\(45\) 3.81330 + 5.51895i 0.568453 + 0.822716i
\(46\) 4.13907 2.38969i 0.610273 0.352341i
\(47\) −0.195215 + 1.10712i −0.0284750 + 0.161490i −0.995730 0.0923186i \(-0.970572\pi\)
0.967254 + 0.253808i \(0.0816833\pi\)
\(48\) −1.72706 0.131419i −0.249279 0.0189686i
\(49\) −2.49432 4.32029i −0.356332 0.617185i
\(50\) −1.15104 + 4.86571i −0.162782 + 0.688115i
\(51\) −4.89124 + 7.15647i −0.684910 + 1.00211i
\(52\) 5.38071 + 1.95842i 0.746170 + 0.271584i
\(53\) −0.0601527 0.165268i −0.00826261 0.0227013i 0.935493 0.353346i \(-0.114956\pi\)
−0.943755 + 0.330645i \(0.892734\pi\)
\(54\) −2.83417 + 4.35517i −0.385681 + 0.592664i
\(55\) 4.81735 9.59716i 0.649572 1.29408i
\(56\) 1.41822 0.189518
\(57\) −2.55266 7.10520i −0.338108 0.941107i
\(58\) 4.86010i 0.638163i
\(59\) −0.697387 3.95508i −0.0907921 0.514907i −0.995956 0.0898444i \(-0.971363\pi\)
0.905164 0.425063i \(-0.139748\pi\)
\(60\) −3.82537 + 0.605459i −0.493853 + 0.0781644i
\(61\) 0.668904 0.243461i 0.0856443 0.0311720i −0.298843 0.954302i \(-0.596601\pi\)
0.384487 + 0.923130i \(0.374378\pi\)
\(62\) 9.09695 + 3.31102i 1.15531 + 0.420500i
\(63\) 2.04338 3.73186i 0.257442 0.470170i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 12.7175 + 1.48376i 1.57742 + 0.184038i
\(66\) 8.29392 + 0.631117i 1.02091 + 0.0776851i
\(67\) 2.07512 11.7686i 0.253516 1.43776i −0.546336 0.837566i \(-0.683978\pi\)
0.799852 0.600197i \(-0.204911\pi\)
\(68\) −2.50232 4.33414i −0.303451 0.525592i
\(69\) 7.54166 + 3.41335i 0.907910 + 0.410919i
\(70\) 3.08561 0.731986i 0.368801 0.0874890i
\(71\) −11.1500 4.05828i −1.32327 0.481630i −0.418763 0.908096i \(-0.637536\pi\)
−0.904504 + 0.426466i \(0.859758\pi\)
\(72\) −1.55843 2.56346i −0.183662 0.302106i
\(73\) −0.496670 0.591909i −0.0581309 0.0692777i 0.736195 0.676769i \(-0.236620\pi\)
−0.794326 + 0.607491i \(0.792176\pi\)
\(74\) −6.22728 + 1.09804i −0.723906 + 0.127644i
\(75\) −8.01030 + 3.29167i −0.924950 + 0.380089i
\(76\) 4.33591 + 0.447070i 0.497363 + 0.0512824i
\(77\) −6.81079 −0.776161
\(78\) 2.67518 + 9.55017i 0.302904 + 1.08134i
\(79\) 6.74377 + 8.03691i 0.758733 + 0.904223i 0.997767 0.0667883i \(-0.0212752\pi\)
−0.239034 + 0.971011i \(0.576831\pi\)
\(80\) 0.640862 2.14226i 0.0716506 0.239512i
\(81\) −8.99078 + 0.407341i −0.998975 + 0.0452602i
\(82\) −3.03584 + 3.61797i −0.335252 + 0.399538i
\(83\) −1.06491 + 1.84448i −0.116889 + 0.202458i −0.918533 0.395343i \(-0.870626\pi\)
0.801644 + 0.597801i \(0.203959\pi\)
\(84\) 1.43164 + 1.99612i 0.156204 + 0.217794i
\(85\) −7.68124 8.13822i −0.833147 0.882714i
\(86\) −1.56950 + 8.90107i −0.169243 + 0.959827i
\(87\) 6.84048 4.90607i 0.733377 0.525986i
\(88\) −2.40117 + 4.15895i −0.255966 + 0.443345i
\(89\) 0.424481 + 0.356182i 0.0449949 + 0.0377552i 0.665008 0.746836i \(-0.268428\pi\)
−0.620013 + 0.784592i \(0.712873\pi\)
\(90\) −4.71372 4.77293i −0.496870 0.503111i
\(91\) −2.77747 7.63105i −0.291158 0.799951i
\(92\) −3.66122 + 3.07213i −0.381709 + 0.320292i
\(93\) 4.52281 + 16.1461i 0.468994 + 1.67427i
\(94\) 1.12420i 0.115952i
\(95\) 9.66433 1.26520i 0.991539 0.129807i
\(96\) 1.72364 0.170478i 0.175918 0.0173994i
\(97\) 3.40129 + 19.2897i 0.345349 + 1.95857i 0.276825 + 0.960920i \(0.410718\pi\)
0.0685236 + 0.997649i \(0.478171\pi\)
\(98\) 3.20664 + 3.82152i 0.323919 + 0.386032i
\(99\) 7.48409 + 12.3106i 0.752179 + 1.23726i
\(100\) 0.288632 4.99166i 0.0288632 0.499166i
\(101\) −4.90930 + 5.85068i −0.488494 + 0.582164i −0.952834 0.303493i \(-0.901847\pi\)
0.464340 + 0.885657i \(0.346292\pi\)
\(102\) 3.57422 7.89710i 0.353901 0.781929i
\(103\) 7.05809 + 12.2250i 0.695454 + 1.20456i 0.970027 + 0.242996i \(0.0781301\pi\)
−0.274573 + 0.961566i \(0.588537\pi\)
\(104\) −5.63904 0.994315i −0.552953 0.0975006i
\(105\) 4.14505 + 3.60401i 0.404515 + 0.351716i
\(106\) 0.0879374 + 0.152312i 0.00854124 + 0.0147939i
\(107\) −2.82207 1.62932i −0.272820 0.157513i 0.357348 0.933971i \(-0.383681\pi\)
−0.630168 + 0.776458i \(0.717014\pi\)
\(108\) 2.03484 4.78115i 0.195803 0.460067i
\(109\) −5.47763 + 15.0497i −0.524662 + 1.44150i 0.340615 + 0.940203i \(0.389365\pi\)
−0.865277 + 0.501294i \(0.832858\pi\)
\(110\) −3.07764 + 10.2879i −0.293441 + 0.980911i
\(111\) −7.83164 7.65633i −0.743346 0.726706i
\(112\) −1.39668 + 0.246272i −0.131974 + 0.0232705i
\(113\) 6.20361i 0.583587i 0.956481 + 0.291793i \(0.0942519\pi\)
−0.956481 + 0.291793i \(0.905748\pi\)
\(114\) 3.74768 + 6.55400i 0.351003 + 0.613838i
\(115\) −6.38006 + 8.57366i −0.594944 + 0.799498i
\(116\) 0.843948 + 4.78627i 0.0783586 + 0.444394i
\(117\) −10.7412 + 13.4058i −0.993021 + 1.23936i
\(118\) 1.37358 + 3.77389i 0.126449 + 0.347415i
\(119\) −2.42755 + 6.66965i −0.222533 + 0.611406i
\(120\) 3.66211 1.26053i 0.334304 0.115070i
\(121\) 6.03123 10.4464i 0.548294 0.949673i
\(122\) −0.616465 + 0.355916i −0.0558121 + 0.0322231i
\(123\) −8.15676 0.620680i −0.735470 0.0559648i
\(124\) −9.53370 1.68105i −0.856151 0.150963i
\(125\) −1.94837 11.0093i −0.174267 0.984698i
\(126\) −1.36431 + 4.02999i −0.121542 + 0.359020i
\(127\) −3.40159 2.85428i −0.301843 0.253276i 0.479268 0.877669i \(-0.340902\pi\)
−0.781111 + 0.624393i \(0.785347\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −14.1124 + 6.77623i −1.24253 + 0.596614i
\(130\) −12.7820 + 0.747154i −1.12105 + 0.0655297i
\(131\) 8.85370 1.56115i 0.773551 0.136398i 0.227080 0.973876i \(-0.427082\pi\)
0.546471 + 0.837478i \(0.315971\pi\)
\(132\) −8.27751 + 0.818695i −0.720465 + 0.0712583i
\(133\) −3.46698 5.11818i −0.300625 0.443803i
\(134\) 11.9501i 1.03234i
\(135\) 1.95948 11.4525i 0.168646 0.985677i
\(136\) 3.21692 + 3.83378i 0.275849 + 0.328744i
\(137\) 4.36619 1.58916i 0.373029 0.135771i −0.148701 0.988882i \(-0.547509\pi\)
0.521730 + 0.853111i \(0.325287\pi\)
\(138\) −8.01981 2.05190i −0.682692 0.174669i
\(139\) 1.93418 + 1.62297i 0.164055 + 0.137658i 0.721119 0.692811i \(-0.243628\pi\)
−0.557064 + 0.830469i \(0.688072\pi\)
\(140\) −2.91162 + 1.25668i −0.246077 + 0.106208i
\(141\) 1.58228 1.13483i 0.133252 0.0955701i
\(142\) 11.6854 + 2.06044i 0.980614 + 0.172909i
\(143\) 27.0806 + 4.77504i 2.26459 + 0.399309i
\(144\) 1.97989 + 2.25389i 0.164991 + 0.187825i
\(145\) 4.30650 + 9.97783i 0.357635 + 0.828613i
\(146\) 0.591909 + 0.496670i 0.0489867 + 0.0411047i
\(147\) −2.14174 + 8.37094i −0.176648 + 0.690424i
\(148\) 5.94200 2.16271i 0.488429 0.177774i
\(149\) −7.24242 8.63118i −0.593322 0.707094i 0.382919 0.923782i \(-0.374919\pi\)
−0.976241 + 0.216688i \(0.930475\pi\)
\(150\) 7.31701 4.63264i 0.597432 0.378253i
\(151\) 19.6099i 1.59583i −0.602772 0.797914i \(-0.705937\pi\)
0.602772 0.797914i \(-0.294063\pi\)
\(152\) −4.34767 + 0.312645i −0.352643 + 0.0253589i
\(153\) 14.7230 2.94116i 1.19029 0.237779i
\(154\) 6.70732 1.18268i 0.540491 0.0953031i
\(155\) −21.6100 + 1.26318i −1.73575 + 0.101461i
\(156\) −4.29290 8.94054i −0.343707 0.715816i
\(157\) 5.00142 13.7413i 0.399157 1.09667i −0.563539 0.826089i \(-0.690561\pi\)
0.962696 0.270585i \(-0.0872172\pi\)
\(158\) −8.03691 6.74377i −0.639382 0.536505i
\(159\) −0.125607 + 0.277523i −0.00996125 + 0.0220090i
\(160\) −0.259126 + 2.22100i −0.0204857 + 0.175586i
\(161\) 6.67526 + 1.17703i 0.526084 + 0.0927628i
\(162\) 8.78345 1.96239i 0.690093 0.154180i
\(163\) 1.16357 0.671789i 0.0911381 0.0526186i −0.453738 0.891135i \(-0.649910\pi\)
0.544876 + 0.838516i \(0.316577\pi\)
\(164\) 2.36146 4.09017i 0.184399 0.319389i
\(165\) −17.5867 + 6.05348i −1.36912 + 0.471263i
\(166\) 0.728442 2.00138i 0.0565381 0.155337i
\(167\) 0.645971 + 1.77479i 0.0499867 + 0.137337i 0.962174 0.272437i \(-0.0878296\pi\)
−0.912187 + 0.409774i \(0.865607\pi\)
\(168\) −1.75651 1.71719i −0.135518 0.132484i
\(169\) 3.43605 + 19.4868i 0.264312 + 1.49899i
\(170\) 8.97773 + 6.68075i 0.688560 + 0.512390i
\(171\) −5.44147 + 11.8908i −0.416119 + 0.909310i
\(172\) 9.03839i 0.689170i
\(173\) 4.05906 0.715722i 0.308605 0.0544153i −0.0172012 0.999852i \(-0.505476\pi\)
0.325806 + 0.945437i \(0.394364\pi\)
\(174\) −5.88463 + 6.01938i −0.446113 + 0.456328i
\(175\) −5.68617 + 4.23690i −0.429834 + 0.320280i
\(176\) 1.64250 4.51272i 0.123808 0.340159i
\(177\) −3.92509 + 5.74288i −0.295028 + 0.431661i
\(178\) −0.479883 0.277060i −0.0359687 0.0207666i
\(179\) 6.18641 + 10.7152i 0.462394 + 0.800890i 0.999080 0.0428923i \(-0.0136572\pi\)
−0.536686 + 0.843782i \(0.680324\pi\)
\(180\) 5.47092 + 3.88189i 0.407778 + 0.289339i
\(181\) 8.94578 + 1.57738i 0.664935 + 0.117246i 0.495921 0.868368i \(-0.334831\pi\)
0.169014 + 0.985614i \(0.445942\pi\)
\(182\) 4.06039 + 7.03281i 0.300976 + 0.521306i
\(183\) −1.12324 0.508378i −0.0830323 0.0375804i
\(184\) 3.07213 3.66122i 0.226481 0.269909i
\(185\) 11.8117 7.77222i 0.868412 0.571425i
\(186\) −7.25784 15.1154i −0.532170 1.10832i
\(187\) −15.4487 18.4111i −1.12972 1.34635i
\(188\) 0.195215 + 1.10712i 0.0142375 + 0.0807450i
\(189\) −7.04934 + 2.14788i −0.512764 + 0.156235i
\(190\) −9.29781 + 2.92418i −0.674534 + 0.212142i
\(191\) 22.4414i 1.62380i 0.583795 + 0.811901i \(0.301567\pi\)
−0.583795 + 0.811901i \(0.698433\pi\)
\(192\) −1.66785 + 0.467196i −0.120367 + 0.0337169i
\(193\) −7.75600 + 6.50806i −0.558289 + 0.468460i −0.877736 0.479144i \(-0.840947\pi\)
0.319447 + 0.947604i \(0.396503\pi\)
\(194\) −6.69923 18.4060i −0.480977 1.32147i
\(195\) −13.9545 17.2361i −0.999302 1.23430i
\(196\) −3.82152 3.20664i −0.272966 0.229046i
\(197\) −0.395106 + 0.684343i −0.0281501 + 0.0487574i −0.879757 0.475423i \(-0.842295\pi\)
0.851607 + 0.524181i \(0.175628\pi\)
\(198\) −9.50810 10.8240i −0.675711 0.769226i
\(199\) −2.50621 + 14.2134i −0.177661 + 1.00756i 0.757367 + 0.652989i \(0.226485\pi\)
−0.935028 + 0.354575i \(0.884626\pi\)
\(200\) 0.582546 + 4.96595i 0.0411923 + 0.351146i
\(201\) −16.8196 + 12.0632i −1.18636 + 0.850871i
\(202\) 3.81876 6.61428i 0.268687 0.465379i
\(203\) 4.43055 5.28012i 0.310963 0.370592i
\(204\) −2.14860 + 8.39778i −0.150432 + 0.587962i
\(205\) 3.02674 10.1177i 0.211397 0.706654i
\(206\) −9.07370 10.8136i −0.632195 0.753420i
\(207\) −5.20767 13.3590i −0.361958 0.928515i
\(208\) 5.72603 0.397029
\(209\) 20.8790 1.50143i 1.44423 0.103856i
\(210\) −4.70790 2.82948i −0.324876 0.195253i
\(211\) −12.2236 + 2.15536i −0.841510 + 0.148381i −0.577756 0.816209i \(-0.696072\pi\)
−0.263753 + 0.964590i \(0.584961\pi\)
\(212\) −0.113050 0.134728i −0.00776432 0.00925315i
\(213\) 8.89586 + 18.5268i 0.609535 + 1.26944i
\(214\) 3.06213 + 1.11452i 0.209323 + 0.0761872i
\(215\) −4.66497 19.6647i −0.318148 1.34112i
\(216\) −1.17369 + 5.06186i −0.0798594 + 0.344416i
\(217\) 6.86474 + 11.8901i 0.466009 + 0.807151i
\(218\) 2.78107 15.7722i 0.188358 1.06823i
\(219\) −0.101545 + 1.33447i −0.00686176 + 0.0901749i
\(220\) 1.24441 10.6660i 0.0838982 0.719102i
\(221\) 14.3284 24.8174i 0.963830 1.66940i
\(222\) 9.04217 + 6.18006i 0.606871 + 0.414778i
\(223\) −18.9999 6.91541i −1.27233 0.463090i −0.384442 0.923149i \(-0.625606\pi\)
−0.887888 + 0.460059i \(0.847828\pi\)
\(224\) 1.33269 0.485061i 0.0890443 0.0324095i
\(225\) 13.9066 + 5.62208i 0.927104 + 0.374805i
\(226\) −1.07725 6.10936i −0.0716573 0.406389i
\(227\) 26.6214i 1.76692i 0.468502 + 0.883462i \(0.344794\pi\)
−0.468502 + 0.883462i \(0.655206\pi\)
\(228\) −4.82884 5.80365i −0.319798 0.384356i
\(229\) 20.0431 1.32448 0.662241 0.749291i \(-0.269605\pi\)
0.662241 + 0.749291i \(0.269605\pi\)
\(230\) 4.79433 9.55129i 0.316129 0.629793i
\(231\) 8.43536 + 8.24653i 0.555006 + 0.542582i
\(232\) −1.66225 4.56700i −0.109132 0.299838i
\(233\) −2.34476 0.853421i −0.153610 0.0559095i 0.264071 0.964503i \(-0.414935\pi\)
−0.417681 + 0.908594i \(0.637157\pi\)
\(234\) 8.25010 15.0673i 0.539326 0.984979i
\(235\) 0.996143 + 2.30799i 0.0649812 + 0.150557i
\(236\) −2.00805 3.47804i −0.130713 0.226401i
\(237\) 1.37877 18.1193i 0.0895608 1.17698i
\(238\) 1.23250 6.98986i 0.0798912 0.453085i
\(239\) 12.5280 7.23302i 0.810367 0.467865i −0.0367166 0.999326i \(-0.511690\pi\)
0.847083 + 0.531460i \(0.178357\pi\)
\(240\) −3.38759 + 1.87730i −0.218668 + 0.121179i
\(241\) 8.99940 10.7251i 0.579702 0.690862i −0.393890 0.919158i \(-0.628871\pi\)
0.973592 + 0.228295i \(0.0733152\pi\)
\(242\) −4.12561 + 11.3350i −0.265204 + 0.728642i
\(243\) 11.6285 + 10.3816i 0.745972 + 0.665978i
\(244\) 0.545295 0.457557i 0.0349089 0.0292921i
\(245\) −9.96948 5.00424i −0.636926 0.319709i
\(246\) 8.14062 0.805156i 0.519027 0.0513349i
\(247\) 10.1968 + 22.7813i 0.648808 + 1.44954i
\(248\) 9.68077 0.614729
\(249\) 3.55223 0.995044i 0.225113 0.0630583i
\(250\) 3.83051 + 10.5037i 0.242263 + 0.664311i
\(251\) 8.28066 + 22.7509i 0.522670 + 1.43602i 0.867537 + 0.497373i \(0.165702\pi\)
−0.344866 + 0.938652i \(0.612076\pi\)
\(252\) 0.643781 4.20568i 0.0405544 0.264933i
\(253\) −14.7534 + 17.5824i −0.927540 + 1.10540i
\(254\) 3.84556 + 2.22023i 0.241292 + 0.139310i
\(255\) −0.340352 + 19.3799i −0.0213136 + 1.21362i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −22.8296 4.02548i −1.42407 0.251102i −0.592075 0.805883i \(-0.701691\pi\)
−0.831997 + 0.554780i \(0.812802\pi\)
\(258\) 12.7213 9.12388i 0.791995 0.568028i
\(259\) −7.76643 4.48395i −0.482583 0.278619i
\(260\) 12.4581 2.95537i 0.772616 0.183284i
\(261\) −14.4124 2.20617i −0.892107 0.136559i
\(262\) −8.44810 + 3.07486i −0.521925 + 0.189965i
\(263\) −3.44475 + 2.89049i −0.212412 + 0.178235i −0.742786 0.669529i \(-0.766496\pi\)
0.530374 + 0.847764i \(0.322052\pi\)
\(264\) 8.00959 2.24363i 0.492956 0.138086i
\(265\) −0.315499 0.234777i −0.0193809 0.0144223i
\(266\) 4.30307 + 4.43839i 0.263838 + 0.272135i
\(267\) −0.0944657 0.955105i −0.00578120 0.0584515i
\(268\) −2.07512 11.7686i −0.126758 0.718881i
\(269\) 2.33247 1.95718i 0.142213 0.119331i −0.568906 0.822403i \(-0.692633\pi\)
0.711119 + 0.703072i \(0.248189\pi\)
\(270\) 0.0589951 + 11.6188i 0.00359033 + 0.707098i
\(271\) 9.53733 + 3.47130i 0.579351 + 0.210867i 0.615040 0.788496i \(-0.289140\pi\)
−0.0356881 + 0.999363i \(0.511362\pi\)
\(272\) −3.83378 3.21692i −0.232457 0.195054i
\(273\) −5.79972 + 12.8142i −0.351015 + 0.775553i
\(274\) −4.02390 + 2.32320i −0.243093 + 0.140350i
\(275\) −2.79759 23.8482i −0.168701 1.43810i
\(276\) 8.25428 + 0.628101i 0.496849 + 0.0378072i
\(277\) −3.83354 + 2.21329i −0.230335 + 0.132984i −0.610727 0.791842i \(-0.709123\pi\)
0.380392 + 0.924825i \(0.375789\pi\)
\(278\) −2.18662 1.26244i −0.131145 0.0757164i
\(279\) 13.9481 25.4736i 0.835051 1.52507i
\(280\) 2.64917 1.74318i 0.158318 0.104175i
\(281\) 28.9911 10.5519i 1.72946 0.629472i 0.730869 0.682518i \(-0.239115\pi\)
0.998592 + 0.0530452i \(0.0168927\pi\)
\(282\) −1.36118 + 1.39235i −0.0810573 + 0.0829133i
\(283\) 11.7937 2.07954i 0.701060 0.123616i 0.188254 0.982120i \(-0.439717\pi\)
0.512806 + 0.858505i \(0.328606\pi\)
\(284\) −11.8656 −0.704095
\(285\) −13.5015 10.1346i −0.799758 0.600323i
\(286\) −27.4984 −1.62601
\(287\) −6.59639 + 1.16312i −0.389373 + 0.0686569i
\(288\) −2.34119 1.87585i −0.137956 0.110535i
\(289\) −7.56114 + 2.75203i −0.444773 + 0.161884i
\(290\) −5.97370 9.07843i −0.350788 0.533104i
\(291\) 19.1434 28.0091i 1.12221 1.64192i
\(292\) −0.669162 0.386341i −0.0391598 0.0226089i
\(293\) −1.00629 + 0.580979i −0.0587878 + 0.0339412i −0.529106 0.848556i \(-0.677473\pi\)
0.470318 + 0.882497i \(0.344139\pi\)
\(294\) 0.655601 8.61568i 0.0382354 0.502477i
\(295\) −6.16399 6.53071i −0.358882 0.380233i
\(296\) −5.47617 + 3.16167i −0.318296 + 0.183768i
\(297\) 5.63645 24.3088i 0.327060 1.41054i
\(298\) 8.63118 + 7.24242i 0.499991 + 0.419542i
\(299\) −25.7165 9.36004i −1.48722 0.541305i
\(300\) −6.40140 + 5.83284i −0.369585 + 0.336759i
\(301\) −9.81950 + 8.23954i −0.565986 + 0.474919i
\(302\) 3.40521 + 19.3119i 0.195948 + 1.11128i
\(303\) 13.1643 1.30203i 0.756271 0.0747998i
\(304\) 4.22733 1.06286i 0.242454 0.0609592i
\(305\) 0.950233 1.27694i 0.0544102 0.0731175i
\(306\) −13.9886 + 5.45310i −0.799676 + 0.311733i
\(307\) −6.69443 + 5.61729i −0.382071 + 0.320596i −0.813515 0.581544i \(-0.802449\pi\)
0.431444 + 0.902140i \(0.358004\pi\)
\(308\) −6.40005 + 2.32943i −0.364676 + 0.132731i
\(309\) 6.06039 23.6869i 0.344764 1.34750i
\(310\) 21.0623 4.99652i 1.19626 0.283783i
\(311\) −15.1358 8.73866i −0.858273 0.495524i 0.00516087 0.999987i \(-0.498357\pi\)
−0.863433 + 0.504463i \(0.831691\pi\)
\(312\) 5.78019 + 8.05926i 0.327239 + 0.456266i
\(313\) 10.9107 + 1.92385i 0.616709 + 0.108742i 0.473271 0.880917i \(-0.343073\pi\)
0.143438 + 0.989659i \(0.454184\pi\)
\(314\) −2.53929 + 14.4010i −0.143300 + 0.812696i
\(315\) −0.770007 9.48251i −0.0433850 0.534279i
\(316\) 9.08585 + 5.24572i 0.511119 + 0.295095i
\(317\) −6.37530 + 7.59779i −0.358073 + 0.426734i −0.914766 0.403984i \(-0.867625\pi\)
0.556694 + 0.830718i \(0.312070\pi\)
\(318\) 0.0755070 0.295118i 0.00423422 0.0165494i
\(319\) 7.98270 + 21.9323i 0.446946 + 1.22797i
\(320\) −0.130484 2.23226i −0.00729426 0.124787i
\(321\) 1.52243 + 5.43494i 0.0849735 + 0.303349i
\(322\) −6.77824 −0.377736
\(323\) 5.97154 20.9815i 0.332265 1.16744i
\(324\) −8.30925 + 3.45780i −0.461625 + 0.192100i
\(325\) 25.5795 12.8599i 1.41889 0.713340i
\(326\) −1.02924 + 0.863636i −0.0570044 + 0.0478324i
\(327\) 25.0064 12.0071i 1.38286 0.663995i
\(328\) −1.61533 + 4.43810i −0.0891919 + 0.245053i
\(329\) 1.02484 1.22135i 0.0565011 0.0673354i
\(330\) 16.2684 9.01542i 0.895543 0.496282i
\(331\) −1.54553 + 0.892314i −0.0849502 + 0.0490460i −0.541873 0.840460i \(-0.682285\pi\)
0.456923 + 0.889506i \(0.348951\pi\)
\(332\) −0.369840 + 2.09747i −0.0202976 + 0.115113i
\(333\) 0.429403 + 18.9652i 0.0235311 + 1.03928i
\(334\) −0.944346 1.63566i −0.0516723 0.0894991i
\(335\) −10.5889 24.5337i −0.578535 1.34042i
\(336\) 2.02801 + 1.38609i 0.110637 + 0.0756172i
\(337\) −13.7974 5.02183i −0.751590 0.273557i −0.0623155 0.998056i \(-0.519849\pi\)
−0.689275 + 0.724500i \(0.742071\pi\)
\(338\) −6.76771 18.5941i −0.368115 1.01139i
\(339\) 7.51136 7.68335i 0.407961 0.417302i
\(340\) −10.0014 5.02029i −0.542404 0.272263i
\(341\) −46.4903 −2.51759
\(342\) 3.29399 12.6550i 0.178119 0.684305i
\(343\) 17.0026i 0.918052i
\(344\) 1.56950 + 8.90107i 0.0846217 + 0.479914i
\(345\) 18.2829 2.89372i 0.984319 0.155793i
\(346\) −3.87311 + 1.40970i −0.208220 + 0.0757857i
\(347\) 12.3781 + 4.50525i 0.664490 + 0.241855i 0.652174 0.758069i \(-0.273857\pi\)
0.0123165 + 0.999924i \(0.496079\pi\)
\(348\) 4.74998 6.94978i 0.254625 0.372548i
\(349\) −0.140899 + 0.244043i −0.00754213 + 0.0130633i −0.869772 0.493454i \(-0.835734\pi\)
0.862230 + 0.506517i \(0.169067\pi\)
\(350\) 4.86405 5.15993i 0.259995 0.275810i
\(351\) 29.5350 3.59797i 1.57646 0.192045i
\(352\) −0.833918 + 4.72938i −0.0444480 + 0.252077i
\(353\) 2.12483 + 3.68032i 0.113093 + 0.195884i 0.917016 0.398850i \(-0.130591\pi\)
−0.803923 + 0.594734i \(0.797257\pi\)
\(354\) 2.86822 6.33722i 0.152444 0.336819i
\(355\) −25.8159 + 6.12419i −1.37016 + 0.325038i
\(356\) 0.520703 + 0.189521i 0.0275972 + 0.0100446i
\(357\) 11.0822 5.32126i 0.586534 0.281631i
\(358\) −7.95310 9.47813i −0.420334 0.500935i
\(359\) −4.39502 + 0.774960i −0.231960 + 0.0409008i −0.288420 0.957504i \(-0.593130\pi\)
0.0564597 + 0.998405i \(0.482019\pi\)
\(360\) −6.06188 2.87290i −0.319489 0.151415i
\(361\) 11.7566 + 14.9259i 0.618768 + 0.785574i
\(362\) −9.08379 −0.477433
\(363\) −20.1184 + 5.63553i −1.05594 + 0.295789i
\(364\) −5.21994 6.22088i −0.273599 0.326063i
\(365\) −1.65529 0.495183i −0.0866418 0.0259191i
\(366\) 1.19445 + 0.305606i 0.0624351 + 0.0159743i
\(367\) 3.08143 3.67231i 0.160850 0.191693i −0.679600 0.733583i \(-0.737847\pi\)
0.840449 + 0.541890i \(0.182291\pi\)
\(368\) −2.38969 + 4.13907i −0.124571 + 0.215764i
\(369\) 9.35086 + 10.6450i 0.486786 + 0.554155i
\(370\) −10.2826 + 9.70522i −0.534567 + 0.504550i
\(371\) −0.0433130 + 0.245640i −0.00224870 + 0.0127530i
\(372\) 9.77234 + 13.6255i 0.506672 + 0.706447i
\(373\) 7.49476 12.9813i 0.388064 0.672147i −0.604125 0.796890i \(-0.706477\pi\)
0.992189 + 0.124743i \(0.0398106\pi\)
\(374\) 18.4111 + 15.4487i 0.952015 + 0.798835i
\(375\) −10.9169 + 15.9944i −0.563749 + 0.825946i
\(376\) −0.384498 1.05640i −0.0198290 0.0544797i
\(377\) −21.3183 + 17.8882i −1.09795 + 0.921289i
\(378\) 6.56927 3.33935i 0.337887 0.171758i
\(379\) 16.5268i 0.848924i −0.905446 0.424462i \(-0.860463\pi\)
0.905446 0.424462i \(-0.139537\pi\)
\(380\) 8.64877 4.49430i 0.443673 0.230553i
\(381\) 0.757003 + 7.65377i 0.0387825 + 0.392114i
\(382\) −3.89691 22.1005i −0.199383 1.13076i
\(383\) 4.62139 + 5.50756i 0.236142 + 0.281423i 0.871081 0.491139i \(-0.163419\pi\)
−0.634939 + 0.772562i \(0.718975\pi\)
\(384\) 1.56139 0.749717i 0.0796791 0.0382588i
\(385\) −12.7222 + 8.37135i −0.648384 + 0.426643i
\(386\) 6.50806 7.75600i 0.331251 0.394770i
\(387\) 25.6833 + 8.69479i 1.30556 + 0.441981i
\(388\) 9.79363 + 16.9631i 0.497196 + 0.861169i
\(389\) 25.3831 + 4.47573i 1.28697 + 0.226928i 0.774939 0.632036i \(-0.217781\pi\)
0.512036 + 0.858964i \(0.328892\pi\)
\(390\) 16.7355 + 14.5511i 0.847435 + 0.736824i
\(391\) 11.9596 + 20.7146i 0.604821 + 1.04758i
\(392\) 4.32029 + 2.49432i 0.218208 + 0.125982i
\(393\) −12.8558 8.78657i −0.648489 0.443224i
\(394\) 0.270268 0.742556i 0.0136159 0.0374094i
\(395\) 22.4754 + 6.72357i 1.13086 + 0.338300i
\(396\) 11.2432 + 9.00846i 0.564993 + 0.452692i
\(397\) −28.0894 + 4.95291i −1.40976 + 0.248580i −0.826150 0.563451i \(-0.809473\pi\)
−0.583615 + 0.812030i \(0.698362\pi\)
\(398\) 14.4327i 0.723446i
\(399\) −1.90316 + 10.5369i −0.0952773 + 0.527502i
\(400\) −1.43602 4.78935i −0.0718012 0.239467i
\(401\) −0.583919 3.31157i −0.0291595 0.165372i 0.966751 0.255721i \(-0.0823128\pi\)
−0.995910 + 0.0903491i \(0.971202\pi\)
\(402\) 14.4693 14.8006i 0.721662 0.738187i
\(403\) −18.9590 52.0894i −0.944415 2.59476i
\(404\) −2.61218 + 7.17692i −0.129961 + 0.357065i
\(405\) −16.2936 + 11.8117i −0.809638 + 0.586930i
\(406\) −3.44635 + 5.96926i −0.171040 + 0.296249i
\(407\) 26.2984 15.1834i 1.30357 0.752614i
\(408\) 0.657703 8.64330i 0.0325611 0.427907i
\(409\) −35.2334 6.21261i −1.74218 0.307194i −0.790087 0.612995i \(-0.789964\pi\)
−0.952095 + 0.305802i \(0.901076\pi\)
\(410\) −1.22383 + 10.4896i −0.0604408 + 0.518046i
\(411\) −7.33182 3.31838i −0.361652 0.163683i
\(412\) 10.8136 + 9.07370i 0.532749 + 0.447029i
\(413\) −1.94805 + 5.35222i −0.0958572 + 0.263366i
\(414\) 7.44832 + 12.2518i 0.366065 + 0.602141i
\(415\) 0.277907 + 4.75431i 0.0136419 + 0.233380i
\(416\) −5.63904 + 0.994315i −0.276477 + 0.0487503i
\(417\) −0.430439 4.35200i −0.0210787 0.213118i
\(418\) −20.3011 + 5.10422i −0.992958 + 0.249655i
\(419\) 0.791705i 0.0386773i −0.999813 0.0193387i \(-0.993844\pi\)
0.999813 0.0193387i \(-0.00615607\pi\)
\(420\) 5.12772 + 1.96898i 0.250207 + 0.0960761i
\(421\) 12.1149 + 14.4380i 0.590445 + 0.703665i 0.975692 0.219148i \(-0.0703279\pi\)
−0.385246 + 0.922814i \(0.625883\pi\)
\(422\) 11.6637 4.24522i 0.567778 0.206654i
\(423\) −3.33376 0.510313i −0.162093 0.0248123i
\(424\) 0.134728 + 0.113050i 0.00654297 + 0.00549020i
\(425\) −24.3511 5.76054i −1.18120 0.279427i
\(426\) −11.9779 16.7006i −0.580329 0.809147i
\(427\) −0.994199 0.175304i −0.0481127 0.00848356i
\(428\) −3.20914 0.565858i −0.155120 0.0273518i
\(429\) −27.7585 38.7033i −1.34019 1.86861i
\(430\) 8.00884 + 18.5559i 0.386220 + 0.894844i
\(431\) −7.47680 6.27378i −0.360145 0.302197i 0.444704 0.895678i \(-0.353309\pi\)
−0.804848 + 0.593480i \(0.797753\pi\)
\(432\) 0.276874 5.18877i 0.0133211 0.249645i
\(433\) −17.3942 + 6.33098i −0.835913 + 0.304247i −0.724283 0.689503i \(-0.757829\pi\)
−0.111629 + 0.993750i \(0.535607\pi\)
\(434\) −8.82514 10.5174i −0.423620 0.504851i
\(435\) 6.74747 17.5721i 0.323517 0.842520i
\(436\) 16.0155i 0.767004i
\(437\) −20.7230 2.13672i −0.991316 0.102213i
\(438\) −0.131726 1.33183i −0.00629409 0.0636371i
\(439\) −17.0425 + 3.00505i −0.813394 + 0.143423i −0.564846 0.825196i \(-0.691065\pi\)
−0.248548 + 0.968620i \(0.579953\pi\)
\(440\) 0.626627 + 10.7201i 0.0298733 + 0.511059i
\(441\) 12.7882 7.77443i 0.608961 0.370211i
\(442\) −9.80118 + 26.9285i −0.466194 + 1.28086i
\(443\) 5.68509 + 4.77036i 0.270107 + 0.226647i 0.767773 0.640722i \(-0.221365\pi\)
−0.497666 + 0.867369i \(0.665809\pi\)
\(444\) −9.97795 4.51601i −0.473533 0.214321i
\(445\) 1.23070 + 0.143587i 0.0583410 + 0.00680669i
\(446\) 19.9121 + 3.51105i 0.942867 + 0.166253i
\(447\) −1.48072 + 19.4591i −0.0700357 + 0.920385i
\(448\) −1.22822 + 0.709111i −0.0580278 + 0.0335024i
\(449\) 3.42022 5.92399i 0.161410 0.279570i −0.773965 0.633229i \(-0.781729\pi\)
0.935375 + 0.353658i \(0.115062\pi\)
\(450\) −14.6715 3.12182i −0.691623 0.147164i
\(451\) 7.75739 21.3132i 0.365281 1.00360i
\(452\) 2.12176 + 5.82949i 0.0997992 + 0.274196i
\(453\) −23.7437 + 24.2874i −1.11558 + 1.14112i
\(454\) −4.62276 26.2170i −0.216957 1.23042i
\(455\) −14.5677 10.8405i −0.682946 0.508212i
\(456\) 5.76327 + 4.87696i 0.269890 + 0.228385i
\(457\) 1.24574i 0.0582734i −0.999575 0.0291367i \(-0.990724\pi\)
0.999575 0.0291367i \(-0.00927581\pi\)
\(458\) −19.7386 + 3.48044i −0.922322 + 0.162630i
\(459\) −21.7960 14.1840i −1.01735 0.662051i
\(460\) −3.06293 + 10.2387i −0.142810 + 0.477382i
\(461\) −4.17855 + 11.4805i −0.194614 + 0.534699i −0.998166 0.0605363i \(-0.980719\pi\)
0.803552 + 0.595235i \(0.202941\pi\)
\(462\) −9.73920 6.65646i −0.453109 0.309687i
\(463\) −5.36979 3.10025i −0.249555 0.144081i 0.370005 0.929030i \(-0.379356\pi\)
−0.619561 + 0.784949i \(0.712689\pi\)
\(464\) 2.43005 + 4.20897i 0.112812 + 0.195397i
\(465\) 28.2940 + 24.6009i 1.31210 + 1.14084i
\(466\) 2.45733 + 0.433293i 0.113834 + 0.0200719i
\(467\) 15.7559 + 27.2901i 0.729097 + 1.26283i 0.957265 + 0.289212i \(0.0933933\pi\)
−0.228168 + 0.973622i \(0.573273\pi\)
\(468\) −5.50836 + 16.2710i −0.254624 + 0.752127i
\(469\) −10.8939 + 12.9829i −0.503036 + 0.599494i
\(470\) −1.38179 2.09995i −0.0637371 0.0968633i
\(471\) −22.8324 + 10.9632i −1.05206 + 0.505160i
\(472\) 2.58149 + 3.07651i 0.118823 + 0.141608i
\(473\) −7.53727 42.7460i −0.346564 1.96546i
\(474\) 1.78856 + 18.0835i 0.0821515 + 0.830601i
\(475\) 16.4974 14.2421i 0.756952 0.653471i
\(476\) 7.09769i 0.325322i
\(477\) 0.491593 0.191635i 0.0225085 0.00877436i
\(478\) −11.0816 + 9.29859i −0.506862 + 0.425308i
\(479\) 1.99506 + 5.48139i 0.0911568 + 0.250451i 0.976890 0.213744i \(-0.0685658\pi\)
−0.885733 + 0.464195i \(0.846344\pi\)
\(480\) 3.01013 2.43703i 0.137393 0.111234i
\(481\) 27.7367 + 23.2738i 1.26468 + 1.06120i
\(482\) −7.00029 + 12.1249i −0.318855 + 0.552272i
\(483\) −6.84235 9.54021i −0.311338 0.434095i
\(484\) 2.09463 11.8792i 0.0952102 0.539964i
\(485\) 30.0630 + 31.8515i 1.36509 + 1.44630i
\(486\) −13.2546 8.20457i −0.601242 0.372167i
\(487\) −2.75503 + 4.77186i −0.124842 + 0.216234i −0.921671 0.387972i \(-0.873176\pi\)
0.796829 + 0.604205i \(0.206509\pi\)
\(488\) −0.457557 + 0.545295i −0.0207126 + 0.0246844i
\(489\) −2.25452 0.576829i −0.101953 0.0260851i
\(490\) 10.6870 + 3.19704i 0.482789 + 0.144427i
\(491\) −11.0236 13.1374i −0.497489 0.592885i 0.457617 0.889150i \(-0.348703\pi\)
−0.955106 + 0.296265i \(0.904259\pi\)
\(492\) −7.87713 + 2.20653i −0.355129 + 0.0994780i
\(493\) 24.3231 1.09546
\(494\) −13.9978 20.6645i −0.629792 0.929741i
\(495\) 29.1112 + 13.7966i 1.30845 + 0.620113i
\(496\) −9.53370 + 1.68105i −0.428076 + 0.0754813i
\(497\) 10.8169 + 12.8911i 0.485204 + 0.578244i
\(498\) −3.32547 + 1.59676i −0.149018 + 0.0715527i
\(499\) −24.7622 9.01269i −1.10851 0.403463i −0.278061 0.960563i \(-0.589692\pi\)
−0.830445 + 0.557100i \(0.811914\pi\)
\(500\) −5.59626 9.67894i −0.250272 0.432855i
\(501\) 1.34887 2.98027i 0.0602630 0.133149i
\(502\) −12.1055 20.9674i −0.540295 0.935819i
\(503\) −6.28854 + 35.6641i −0.280392 + 1.59018i 0.440903 + 0.897555i \(0.354658\pi\)
−0.721295 + 0.692628i \(0.756453\pi\)
\(504\) 0.0963081 + 4.25358i 0.00428991 + 0.189469i
\(505\) −1.97908 + 16.9629i −0.0880679 + 0.754841i
\(506\) 11.4761 19.8772i 0.510176 0.883651i
\(507\) 19.3391 28.2954i 0.858879 1.25664i
\(508\) −4.17267 1.51873i −0.185132 0.0673827i
\(509\) −18.8278 + 6.85277i −0.834529 + 0.303744i −0.723716 0.690098i \(-0.757568\pi\)
−0.110813 + 0.993841i \(0.535345\pi\)
\(510\) −3.03010 19.1446i −0.134175 0.847736i
\(511\) 0.190290 + 1.07919i 0.00841792 + 0.0477404i
\(512\) 1.00000i 0.0441942i
\(513\) 21.1368 8.13851i 0.933213 0.359324i
\(514\) 23.1818 1.02251
\(515\) 28.2102 + 14.1603i 1.24309 + 0.623978i
\(516\) −10.9437 + 11.1943i −0.481770 + 0.492802i
\(517\) 1.84649 + 5.07319i 0.0812086 + 0.223119i
\(518\) 8.42707 + 3.06720i 0.370264 + 0.134765i
\(519\) −5.89386 4.02828i −0.258712 0.176822i
\(520\) −11.7556 + 5.07379i −0.515517 + 0.222500i
\(521\) 14.2673 + 24.7117i 0.625061 + 1.08264i 0.988529 + 0.151031i \(0.0482592\pi\)
−0.363468 + 0.931607i \(0.618407\pi\)
\(522\) 14.5766 0.330038i 0.637999 0.0144454i
\(523\) −1.42189 + 8.06393i −0.0621748 + 0.352611i 0.937810 + 0.347148i \(0.112850\pi\)
−0.999985 + 0.00546262i \(0.998261\pi\)
\(524\) 7.78581 4.49514i 0.340125 0.196371i
\(525\) 12.1725 + 1.63731i 0.531253 + 0.0714581i
\(526\) 2.89049 3.44475i 0.126031 0.150198i
\(527\) −16.5704 + 45.5269i −0.721820 + 1.98318i
\(528\) −7.49830 + 3.60040i −0.326322 + 0.156687i
\(529\) −0.120610 + 0.101204i −0.00524392 + 0.00440017i
\(530\) 0.351474 + 0.176425i 0.0152671 + 0.00766340i
\(531\) 11.8148 2.36021i 0.512720 0.102424i
\(532\) −5.00842 3.62374i −0.217142 0.157109i
\(533\) 27.0436 1.17139
\(534\) 0.258883 + 0.924191i 0.0112030 + 0.0399937i
\(535\) −7.27414 + 0.425200i −0.314489 + 0.0183830i
\(536\) 4.08719 + 11.2295i 0.176540 + 0.485039i
\(537\) 5.31193 20.7616i 0.229227 0.895929i
\(538\) −1.95718 + 2.33247i −0.0843798 + 0.100560i
\(539\) −20.7475 11.9786i −0.893659 0.515954i
\(540\) −2.07568 11.4320i −0.0893231 0.491957i
\(541\) 0.949568 5.38527i 0.0408251 0.231531i −0.957567 0.288210i \(-0.906940\pi\)
0.998392 + 0.0566788i \(0.0180511\pi\)
\(542\) −9.99522 1.76243i −0.429331 0.0757027i
\(543\) −9.16971 12.7852i −0.393510 0.548666i
\(544\) 4.33414 + 2.50232i 0.185825 + 0.107286i
\(545\) 8.26607 + 34.8447i 0.354080 + 1.49259i
\(546\) 3.48644 13.6267i 0.149206 0.583168i
\(547\) 17.2181 6.26689i 0.736194 0.267953i 0.0534097 0.998573i \(-0.482991\pi\)
0.682784 + 0.730620i \(0.260769\pi\)
\(548\) 3.55935 2.98665i 0.152048 0.127583i
\(549\) 0.775619 + 1.98966i 0.0331026 + 0.0849168i
\(550\) 6.89628 + 23.0001i 0.294058 + 0.980726i
\(551\) −12.4182 + 17.1633i −0.529033 + 0.731182i
\(552\) −8.23795 + 0.814783i −0.350630 + 0.0346794i
\(553\) −2.58375 14.6531i −0.109872 0.623115i
\(554\) 3.39096 2.84536i 0.144068 0.120888i
\(555\) −24.0397 4.67552i −1.02043 0.198465i
\(556\) 2.37262 + 0.863563i 0.100622 + 0.0366232i
\(557\) −10.2164 8.57260i −0.432884 0.363233i 0.400155 0.916448i \(-0.368956\pi\)
−0.833039 + 0.553215i \(0.813401\pi\)
\(558\) −9.31276 + 27.5087i −0.394240 + 1.16454i
\(559\) 44.8204 25.8770i 1.89570 1.09448i
\(560\) −2.30622 + 2.17672i −0.0974557 + 0.0919833i
\(561\) −3.15851 + 41.5081i −0.133352 + 1.75247i
\(562\) −26.7183 + 15.4258i −1.12704 + 0.650699i
\(563\) −32.8298 18.9543i −1.38361 0.798829i −0.391027 0.920379i \(-0.627880\pi\)
−0.992585 + 0.121550i \(0.961214\pi\)
\(564\) 1.09872 1.60757i 0.0462647 0.0676907i
\(565\) 7.62505 + 11.5880i 0.320788 + 0.487512i
\(566\) −11.2534 + 4.09589i −0.473015 + 0.172163i
\(567\) 11.3315 + 5.87516i 0.475877 + 0.246733i
\(568\) 11.6854 2.06044i 0.490307 0.0864543i
\(569\) −17.7730 −0.745083 −0.372542 0.928016i \(-0.621514\pi\)
−0.372542 + 0.928016i \(0.621514\pi\)
\(570\) 15.0562 + 7.63614i 0.630635 + 0.319843i
\(571\) −4.65101 −0.194639 −0.0973193 0.995253i \(-0.531027\pi\)
−0.0973193 + 0.995253i \(0.531027\pi\)
\(572\) 27.0806 4.77504i 1.13230 0.199654i
\(573\) 27.1721 27.7943i 1.13513 1.16112i
\(574\) 6.29421 2.29090i 0.262715 0.0956205i
\(575\) −1.37948 + 23.8571i −0.0575284 + 0.994910i
\(576\) 2.63136 + 1.44081i 0.109640 + 0.0600336i
\(577\) 3.11745 + 1.79986i 0.129781 + 0.0749292i 0.563485 0.826126i \(-0.309460\pi\)
−0.433704 + 0.901055i \(0.642794\pi\)
\(578\) 6.96839 4.02320i 0.289847 0.167343i
\(579\) 17.4860 + 1.33058i 0.726694 + 0.0552970i
\(580\) 7.45940 + 7.90318i 0.309735 + 0.328162i
\(581\) 2.61588 1.51028i 0.108525 0.0626570i
\(582\) −13.9889 + 30.9078i −0.579857 + 1.28117i
\(583\) −0.647009 0.542905i −0.0267964 0.0224848i
\(584\) 0.726084 + 0.264273i 0.0300456 + 0.0109357i
\(585\) −3.58654 + 38.2436i −0.148285 + 1.58118i
\(586\) 0.890112 0.746892i 0.0367702 0.0308538i
\(587\) 6.87823 + 39.0084i 0.283895 + 1.61005i 0.709206 + 0.705001i \(0.249054\pi\)
−0.425311 + 0.905047i \(0.639835\pi\)
\(588\) 0.850456 + 8.59863i 0.0350722 + 0.354602i
\(589\) −23.6656 34.9367i −0.975122 1.43954i
\(590\) 7.20440 + 5.36113i 0.296600 + 0.220714i
\(591\) 1.31796 0.369183i 0.0542135 0.0151862i
\(592\) 4.84396 4.06457i 0.199086 0.167053i
\(593\) 20.7672 7.55865i 0.852807 0.310396i 0.121623 0.992576i \(-0.461190\pi\)
0.731184 + 0.682180i \(0.238968\pi\)
\(594\) −1.32964 + 24.9182i −0.0545560 + 1.02241i
\(595\) 3.66332 + 15.4423i 0.150182 + 0.633075i
\(596\) −9.75769 5.63360i −0.399690 0.230761i
\(597\) 20.3137 14.5692i 0.831385 0.596279i
\(598\) 26.9512 + 4.75222i 1.10212 + 0.194333i
\(599\) −4.39302 + 24.9141i −0.179494 + 1.01796i 0.753334 + 0.657638i \(0.228444\pi\)
−0.932828 + 0.360323i \(0.882667\pi\)
\(600\) 5.29129 6.85582i 0.216016 0.279888i
\(601\) −39.5222 22.8182i −1.61215 0.930773i −0.988872 0.148769i \(-0.952469\pi\)
−0.623274 0.782003i \(-0.714198\pi\)
\(602\) 8.23954 9.81950i 0.335818 0.400213i
\(603\) 35.4377 + 5.42459i 1.44313 + 0.220906i
\(604\) −6.70696 18.4272i −0.272902 0.749793i
\(605\) −1.57396 26.9265i −0.0639904 1.09472i
\(606\) −12.7382 + 3.56821i −0.517456 + 0.144949i
\(607\) 22.8014 0.925482 0.462741 0.886493i \(-0.346866\pi\)
0.462741 + 0.886493i \(0.346866\pi\)
\(608\) −3.97854 + 1.78078i −0.161351 + 0.0722202i
\(609\) −11.8805 + 1.17506i −0.481424 + 0.0476157i
\(610\) −0.714058 + 1.42255i −0.0289114 + 0.0575973i
\(611\) −4.93118 + 4.13775i −0.199494 + 0.167395i
\(612\) 12.8292 7.79936i 0.518589 0.315270i
\(613\) −2.80974 + 7.71971i −0.113484 + 0.311796i −0.983413 0.181382i \(-0.941943\pi\)
0.869928 + 0.493178i \(0.164165\pi\)
\(614\) 5.61729 6.69443i 0.226696 0.270165i
\(615\) −15.9993 + 8.86633i −0.645155 + 0.357525i
\(616\) 5.89831 3.40539i 0.237650 0.137207i
\(617\) 6.51429 36.9444i 0.262255 1.48732i −0.514483 0.857501i \(-0.672016\pi\)
0.776738 0.629823i \(-0.216873\pi\)
\(618\) −1.85513 + 24.3795i −0.0746242 + 0.980685i
\(619\) 9.45192 + 16.3712i 0.379905 + 0.658014i 0.991048 0.133506i \(-0.0426235\pi\)
−0.611143 + 0.791520i \(0.709290\pi\)
\(620\) −19.8747 + 8.57805i −0.798187 + 0.344503i
\(621\) −9.72530 + 22.8510i −0.390263 + 0.916979i
\(622\) 16.4233 + 5.97759i 0.658515 + 0.239680i
\(623\) −0.268782 0.738473i −0.0107685 0.0295863i
\(624\) −7.09186 6.93310i −0.283901 0.277546i
\(625\) −17.1713 18.1699i −0.686851 0.726798i
\(626\) −11.0790 −0.442806
\(627\) −27.6772 23.4208i −1.10532 0.935337i
\(628\) 14.6232i 0.583528i
\(629\) −5.49528 31.1653i −0.219111 1.24264i
\(630\) 2.40493 + 9.20474i 0.0958147 + 0.366726i
\(631\) −1.50942 + 0.549385i −0.0600891 + 0.0218707i −0.371890 0.928277i \(-0.621290\pi\)
0.311801 + 0.950148i \(0.399068\pi\)
\(632\) −9.85873 3.58828i −0.392159 0.142734i
\(633\) 17.7490 + 12.1310i 0.705461 + 0.482162i
\(634\) 4.95910 8.58942i 0.196951 0.341129i
\(635\) −9.86228 1.15064i −0.391373 0.0456618i
\(636\) −0.0231132 + 0.303746i −0.000916499 + 0.0120443i
\(637\) 4.96028 28.1312i 0.196534 1.11460i
\(638\) −11.6699 20.2129i −0.462017 0.800237i
\(639\) 11.4146 33.7171i 0.451553 1.33383i
\(640\) 0.516129 + 2.17569i 0.0204018 + 0.0860016i
\(641\) 13.3177 + 4.84724i 0.526017 + 0.191455i 0.591359 0.806408i \(-0.298592\pi\)
−0.0653420 + 0.997863i \(0.520814\pi\)
\(642\) −2.44306 5.08801i −0.0964201 0.200808i
\(643\) 10.8475 + 12.9275i 0.427782 + 0.509811i 0.936281 0.351252i \(-0.114244\pi\)
−0.508499 + 0.861063i \(0.669799\pi\)
\(644\) 6.67526 1.17703i 0.263042 0.0463814i
\(645\) −18.0324 + 30.0037i −0.710024 + 1.18139i
\(646\) −2.23742 + 21.6997i −0.0880302 + 0.853762i
\(647\) −5.35296 −0.210447 −0.105223 0.994449i \(-0.533556\pi\)
−0.105223 + 0.994449i \(0.533556\pi\)
\(648\) 7.58257 4.84816i 0.297872 0.190454i
\(649\) −12.3972 14.7744i −0.486633 0.579947i
\(650\) −22.9577 + 17.1064i −0.900477 + 0.670967i
\(651\) 5.89438 23.0381i 0.231019 0.902933i
\(652\) 0.863636 1.02924i 0.0338226 0.0403082i
\(653\) −17.4454 + 30.2163i −0.682692 + 1.18246i 0.291465 + 0.956582i \(0.405857\pi\)
−0.974156 + 0.225875i \(0.927476\pi\)
\(654\) −22.5415 + 16.1670i −0.881442 + 0.632180i
\(655\) 14.6194 13.7985i 0.571228 0.539152i
\(656\) 0.820127 4.65117i 0.0320206 0.181598i
\(657\) 1.74154 1.52982i 0.0679441 0.0596841i
\(658\) −0.797182 + 1.38076i −0.0310774 + 0.0538276i
\(659\) 6.36176 + 5.33815i 0.247819 + 0.207945i 0.758232 0.651984i \(-0.226063\pi\)
−0.510414 + 0.859929i \(0.670508\pi\)
\(660\) −14.4557 + 11.7034i −0.562687 + 0.455555i
\(661\) −7.72468 21.2234i −0.300455 0.825493i −0.994421 0.105485i \(-0.966360\pi\)
0.693966 0.720008i \(-0.255862\pi\)
\(662\) 1.36710 1.14714i 0.0531340 0.0445847i
\(663\) −47.7952 + 13.3883i −1.85621 + 0.519958i
\(664\) 2.12982i 0.0826531i
\(665\) −12.7671 5.29914i −0.495085 0.205492i
\(666\) −3.71615 18.6025i −0.143998 0.720831i
\(667\) −4.03355 22.8754i −0.156180 0.885740i
\(668\) 1.21403 + 1.44682i 0.0469721 + 0.0559792i
\(669\) 15.1588 + 31.5701i 0.586072 + 1.22057i
\(670\) 14.6883 + 22.3223i 0.567458 + 0.862385i
\(671\) 2.19734 2.61869i 0.0848275 0.101094i
\(672\) −2.23789 1.01287i −0.0863286 0.0390723i
\(673\) 7.25134 + 12.5597i 0.279519 + 0.484141i 0.971265 0.238000i \(-0.0764918\pi\)
−0.691747 + 0.722140i \(0.743158\pi\)
\(674\) 14.4598 + 2.54965i 0.556970 + 0.0982088i
\(675\) −10.4164 23.8012i −0.400929 0.916109i
\(676\) 9.89372 + 17.1364i 0.380528 + 0.659094i
\(677\) −25.0311 14.4517i −0.962025 0.555425i −0.0652290 0.997870i \(-0.520778\pi\)
−0.896796 + 0.442445i \(0.854111\pi\)
\(678\) −6.06304 + 8.87096i −0.232850 + 0.340687i
\(679\) 9.50100 26.1038i 0.364615 1.00177i
\(680\) 10.7213 + 3.20728i 0.411141 + 0.122994i
\(681\) 32.2333 32.9714i 1.23518 1.26347i
\(682\) 45.7840 8.07296i 1.75316 0.309130i
\(683\) 26.1222i 0.999537i 0.866159 + 0.499768i \(0.166582\pi\)
−0.866159 + 0.499768i \(0.833418\pi\)
\(684\) −1.04642 + 13.0348i −0.0400110 + 0.498397i
\(685\) 6.20253 8.33510i 0.236987 0.318468i
\(686\) −2.95246 16.7443i −0.112726 0.639299i
\(687\) −24.8239 24.2682i −0.947091 0.925890i
\(688\) −3.09131 8.49330i −0.117855 0.323804i
\(689\) 0.344437 0.946332i 0.0131220 0.0360524i
\(690\) −17.5027 + 6.02455i −0.666315 + 0.229351i
\(691\) −22.3974 + 38.7935i −0.852038 + 1.47577i 0.0273283 + 0.999627i \(0.491300\pi\)
−0.879366 + 0.476146i \(0.842033\pi\)
\(692\) 3.56948 2.06084i 0.135691 0.0783413i
\(693\) −0.462504 20.4271i −0.0175691 0.775962i
\(694\) −12.9724 2.28738i −0.492424 0.0868277i
\(695\) 5.60779 + 0.654265i 0.212716 + 0.0248177i
\(696\) −3.47100 + 7.66903i −0.131568 + 0.290694i
\(697\) −18.1066 15.1933i −0.685837 0.575486i
\(698\) 0.0963803 0.264803i 0.00364805 0.0100229i
\(699\) 1.87072 + 3.89603i 0.0707572 + 0.147361i
\(700\) −3.89415 + 5.92617i −0.147185 + 0.223988i
\(701\) 46.1368 8.13516i 1.74256 0.307261i 0.790341 0.612667i \(-0.209903\pi\)
0.952222 + 0.305407i \(0.0987924\pi\)
\(702\) −28.4615 + 8.67200i −1.07421 + 0.327304i
\(703\) 24.7971 + 12.0338i 0.935240 + 0.453864i
\(704\) 4.80234i 0.180995i
\(705\) 1.56077 4.06464i 0.0587820 0.153083i
\(706\) −2.73163 3.25543i −0.102806 0.122520i
\(707\) 10.1785 3.70466i 0.382801 0.139328i
\(708\) −1.72420 + 6.73900i −0.0647994 + 0.253267i
\(709\) −18.7780 15.7566i −0.705222 0.591752i 0.218032 0.975942i \(-0.430036\pi\)
−0.923254 + 0.384190i \(0.874481\pi\)
\(710\) 24.3602 10.5140i 0.914223 0.394585i
\(711\) −23.6466 + 20.7719i −0.886817 + 0.779007i
\(712\) −0.545703 0.0962221i −0.0204511 0.00360608i
\(713\) 45.5652 + 8.03438i 1.70643 + 0.300890i
\(714\) −9.98984 + 7.16483i −0.373860 + 0.268137i
\(715\) 56.4543 24.3661i 2.11127 0.911239i
\(716\) 9.47813 + 7.95310i 0.354214 + 0.297221i
\(717\) −24.2740 6.21060i −0.906530 0.231939i
\(718\) 4.19368 1.52637i 0.156507 0.0569638i
\(719\) 3.90235 + 4.65064i 0.145533 + 0.173439i 0.833887 0.551936i \(-0.186111\pi\)
−0.688354 + 0.725375i \(0.741666\pi\)
\(720\) 6.46866 + 1.77662i 0.241073 + 0.0662107i
\(721\) 20.0199i 0.745579i
\(722\) −14.1698 12.6576i −0.527347 0.471068i
\(723\) −24.1320 + 2.38680i −0.897478 + 0.0887659i
\(724\) 8.94578 1.57738i 0.332467 0.0586230i
\(725\) 20.3084 + 13.3448i 0.754234 + 0.495615i
\(726\) 18.8342 9.04344i 0.699001 0.335633i
\(727\) −8.98220 + 24.6784i −0.333131 + 0.915270i 0.654161 + 0.756355i \(0.273022\pi\)
−0.987292 + 0.158915i \(0.949200\pi\)
\(728\) 6.22088 + 5.21994i 0.230561 + 0.193464i
\(729\) −1.83225 26.9378i −0.0678612 0.997695i
\(730\) 1.71613 + 0.200222i 0.0635168 + 0.00741055i
\(731\) −44.5466 7.85478i −1.64762 0.290519i
\(732\) −1.22938 0.0935480i −0.0454390 0.00345763i
\(733\) −9.94353 + 5.74090i −0.367273 + 0.212045i −0.672266 0.740309i \(-0.734679\pi\)
0.304994 + 0.952354i \(0.401346\pi\)
\(734\) −2.39693 + 4.15160i −0.0884723 + 0.153238i
\(735\) 6.28833 + 18.2690i 0.231948 + 0.673861i
\(736\) 1.63465 4.49116i 0.0602539 0.165546i
\(737\) −19.6281 53.9277i −0.723010 1.98645i
\(738\) −11.0573 8.85949i −0.407024 0.326122i
\(739\) 1.78347 + 10.1146i 0.0656061 + 0.372071i 0.999880 + 0.0155136i \(0.00493833\pi\)
−0.934274 + 0.356557i \(0.883951\pi\)
\(740\) 8.44110 11.3433i 0.310301 0.416989i
\(741\) 14.9546 40.5616i 0.549371 1.49007i
\(742\) 0.249430i 0.00915685i
\(743\) −19.8443 + 3.49908i −0.728016 + 0.128369i −0.525359 0.850881i \(-0.676069\pi\)
−0.202657 + 0.979250i \(0.564958\pi\)
\(744\) −11.9899 11.7215i −0.439571 0.429731i
\(745\) −24.1373 7.22073i −0.884323 0.264547i
\(746\) −5.12672 + 14.0855i −0.187703 + 0.515708i
\(747\) −5.60434 3.06866i −0.205052 0.112276i
\(748\) −20.8140 12.0170i −0.761036 0.439385i
\(749\) 2.31074 + 4.00233i 0.0844328 + 0.146242i
\(750\) 7.97370 17.6471i 0.291158 0.644381i
\(751\) 6.32900 + 1.11597i 0.230949 + 0.0407225i 0.287925 0.957653i \(-0.407035\pi\)
−0.0569760 + 0.998376i \(0.518146\pi\)
\(752\) 0.562099 + 0.973584i 0.0204976 + 0.0355030i
\(753\) 17.2911 38.2039i 0.630121 1.39223i
\(754\) 17.8882 21.3183i 0.651450 0.776368i
\(755\) −24.1031 36.6302i −0.877201 1.33311i
\(756\) −5.88960 + 4.42936i −0.214203 + 0.161094i
\(757\) 26.0578 + 31.0544i 0.947086 + 1.12869i 0.991556 + 0.129682i \(0.0413956\pi\)
−0.0444701 + 0.999011i \(0.514160\pi\)
\(758\) 2.86985 + 16.2757i 0.104238 + 0.591161i
\(759\) 39.5614 3.91286i 1.43599 0.142028i
\(760\) −7.73695 + 5.92786i −0.280649 + 0.215026i
\(761\) 35.7467i 1.29582i −0.761719 0.647908i \(-0.775644\pi\)
0.761719 0.647908i \(-0.224356\pi\)
\(762\) −2.07457 7.40604i −0.0751536 0.268292i
\(763\) 17.3996 14.6000i 0.629908 0.528556i
\(764\) 7.67541 + 21.0880i 0.277687 + 0.762938i
\(765\) 23.8868 23.5905i 0.863629 0.852915i
\(766\) −5.50756 4.62139i −0.198996 0.166978i
\(767\) 11.4981 19.9154i 0.415174 0.719102i
\(768\) −1.40748 + 1.00946i −0.0507880 + 0.0364257i
\(769\) −2.02211 + 11.4680i −0.0729191 + 0.413545i 0.926396 + 0.376550i \(0.122890\pi\)
−0.999315 + 0.0369950i \(0.988221\pi\)
\(770\) 11.0753 10.4534i 0.399125 0.376713i
\(771\) 23.4011 + 32.6278i 0.842769 + 1.17506i
\(772\) −5.06237 + 8.76828i −0.182199 + 0.315577i
\(773\) 20.3355 24.2349i 0.731417 0.871669i −0.264269 0.964449i \(-0.585131\pi\)
0.995687 + 0.0927798i \(0.0295753\pi\)
\(774\) −26.8030