Properties

Label 43.9.f.a.2.7
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.7
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.83493 - 16.2694i) q^{2} +(-45.2846 + 94.0344i) q^{3} +(-43.6938 + 54.7902i) q^{4} +(843.199 + 192.455i) q^{5} +1884.69 q^{6} +324.806i q^{7} +(-3273.12 - 747.068i) q^{8} +(-2701.06 - 3387.03i) q^{9} +O(q^{10})\) \(q+(-7.83493 - 16.2694i) q^{2} +(-45.2846 + 94.0344i) q^{3} +(-43.6938 + 54.7902i) q^{4} +(843.199 + 192.455i) q^{5} +1884.69 q^{6} +324.806i q^{7} +(-3273.12 - 747.068i) q^{8} +(-2701.06 - 3387.03i) q^{9} +(-3475.28 - 15226.2i) q^{10} +(-2507.99 - 3144.92i) q^{11} +(-3173.52 - 6589.87i) q^{12} +(-1699.61 + 7446.49i) q^{13} +(5284.40 - 2544.83i) q^{14} +(-56281.3 + 70574.5i) q^{15} +(17482.4 + 76595.4i) q^{16} +(4257.88 + 18655.0i) q^{17} +(-33942.3 + 70481.8i) q^{18} +(-17362.7 - 13846.3i) q^{19} +(-47387.2 + 37790.0i) q^{20} +(-30543.0 - 14708.7i) q^{21} +(-31516.0 + 65443.6i) q^{22} +(161849. + 202953. i) q^{23} +(218472. - 273955. i) q^{24} +(322005. + 155069. i) q^{25} +(134466. - 30691.0i) q^{26} +(-226791. + 51763.6i) q^{27} +(-17796.2 - 14192.0i) q^{28} +(522548. + 1.08508e6i) q^{29} +(1.58916e6 + 362717. i) q^{30} +(-252939. + 121809. i) q^{31} +(437229. - 348679. i) q^{32} +(409304. - 93420.9i) q^{33} +(270145. - 215434. i) q^{34} +(-62510.5 + 273876. i) q^{35} +303596. q^{36} +1.29460e6i q^{37} +(-89235.5 + 390966. i) q^{38} +(-623260. - 497033. i) q^{39} +(-2.61611e6 - 1.25985e6i) q^{40} +(-3.68063e6 + 1.77250e6i) q^{41} +612158. i q^{42} +(294832. + 3.40606e6i) q^{43} +281894. q^{44} +(-1.62569e6 - 3.37577e6i) q^{45} +(2.03384e6 - 4.22331e6i) q^{46} +(-3.60348e6 + 4.51862e6i) q^{47} +(-7.99429e6 - 1.82464e6i) q^{48} +5.65930e6 q^{49} -6.45379e6i q^{50} +(-1.94703e6 - 444397. i) q^{51} +(-333733. - 418487. i) q^{52} +(-244902. - 1.07299e6i) q^{53} +(2.61906e6 + 3.28419e6i) q^{54} +(-1.50948e6 - 3.13446e6i) q^{55} +(242652. - 1.06313e6i) q^{56} +(2.08830e6 - 1.00567e6i) q^{57} +(1.35595e7 - 1.70031e7i) q^{58} +(-1.63497e6 - 7.16328e6i) q^{59} +(-1.40765e6 - 6.16733e6i) q^{60} +(549482. - 1.14101e6i) q^{61} +(3.96352e6 + 3.16080e6i) q^{62} +(1.10013e6 - 877323. i) q^{63} +(9.02246e6 + 4.34499e6i) q^{64} +(-2.86622e6 + 5.95178e6i) q^{65} +(-4.72676e6 - 5.92718e6i) q^{66} +(4.71731e6 - 5.91532e6i) q^{67} +(-1.20815e6 - 581817. i) q^{68} +(-2.64138e7 + 6.02878e6i) q^{69} +(4.94557e6 - 1.12879e6i) q^{70} +(-2.25173e6 - 1.79570e6i) q^{71} +(6.31057e6 + 1.31040e7i) q^{72} +(827508. + 188873. i) q^{73} +(2.10623e7 - 1.01431e7i) q^{74} +(-2.91637e7 + 2.32573e7i) q^{75} +(1.51729e6 - 346311. i) q^{76} +(1.02149e6 - 814610. i) q^{77} +(-3.20324e6 + 1.40343e7i) q^{78} -5.28311e7 q^{79} +6.79498e7i q^{80} +(1.17274e7 - 5.13810e7i) q^{81} +(5.76749e7 + 4.59942e7i) q^{82} +(1.56619e7 + 7.54237e6i) q^{83} +(2.14043e6 - 1.03078e6i) q^{84} +1.65493e7i q^{85} +(5.31046e7 - 3.14830e7i) q^{86} -1.25698e8 q^{87} +(5.85947e6 + 1.21673e7i) q^{88} +(2.56080e7 - 5.31756e7i) q^{89} +(-4.21846e7 + 5.28979e7i) q^{90} +(-2.41867e6 - 552045. i) q^{91} -1.81916e7 q^{92} -2.93010e7i q^{93} +(1.01748e8 + 2.32234e7i) q^{94} +(-1.19755e7 - 1.50168e7i) q^{95} +(1.29881e7 + 5.69044e7i) q^{96} +(6.71761e7 + 8.42362e7i) q^{97} +(-4.43402e7 - 9.20734e7i) q^{98} +(-3.87768e6 + 1.69892e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.83493 16.2694i −0.489683 1.01684i −0.988653 0.150218i \(-0.952002\pi\)
0.498970 0.866619i \(-0.333712\pi\)
\(3\) −45.2846 + 94.0344i −0.559069 + 1.16092i 0.409531 + 0.912296i \(0.365692\pi\)
−0.968600 + 0.248623i \(0.920022\pi\)
\(4\) −43.6938 + 54.7902i −0.170679 + 0.214024i
\(5\) 843.199 + 192.455i 1.34912 + 0.307928i 0.835216 0.549921i \(-0.185342\pi\)
0.513902 + 0.857849i \(0.328199\pi\)
\(6\) 1884.69 1.45423
\(7\) 324.806i 0.135280i 0.997710 + 0.0676398i \(0.0215469\pi\)
−0.997710 + 0.0676398i \(0.978453\pi\)
\(8\) −3273.12 747.068i −0.799101 0.182390i
\(9\) −2701.06 3387.03i −0.411685 0.516237i
\(10\) −3475.28 15226.2i −0.347528 1.52262i
\(11\) −2507.99 3144.92i −0.171299 0.214802i 0.688770 0.724980i \(-0.258151\pi\)
−0.860069 + 0.510178i \(0.829580\pi\)
\(12\) −3173.52 6589.87i −0.153044 0.317799i
\(13\) −1699.61 + 7446.49i −0.0595082 + 0.260722i −0.995927 0.0901615i \(-0.971262\pi\)
0.936419 + 0.350884i \(0.114119\pi\)
\(14\) 5284.40 2544.83i 0.137557 0.0662441i
\(15\) −56281.3 + 70574.5i −1.11173 + 1.39406i
\(16\) 17482.4 + 76595.4i 0.266760 + 1.16875i
\(17\) 4257.88 + 18655.0i 0.0509798 + 0.223357i 0.994000 0.109378i \(-0.0348858\pi\)
−0.943020 + 0.332735i \(0.892029\pi\)
\(18\) −33942.3 + 70481.8i −0.323333 + 0.671409i
\(19\) −17362.7 13846.3i −0.133231 0.106248i 0.554607 0.832112i \(-0.312869\pi\)
−0.687838 + 0.725864i \(0.741440\pi\)
\(20\) −47387.2 + 37790.0i −0.296170 + 0.236188i
\(21\) −30543.0 14708.7i −0.157049 0.0756306i
\(22\) −31516.0 + 65443.6i −0.134536 + 0.279368i
\(23\) 161849. + 202953.i 0.578361 + 0.725242i 0.981832 0.189750i \(-0.0607678\pi\)
−0.403471 + 0.914992i \(0.632196\pi\)
\(24\) 218472. 273955.i 0.658493 0.825723i
\(25\) 322005. + 155069.i 0.824333 + 0.396978i
\(26\) 134466. 30691.0i 0.294252 0.0671612i
\(27\) −226791. + 51763.6i −0.426748 + 0.0974024i
\(28\) −17796.2 14192.0i −0.0289531 0.0230894i
\(29\) 522548. + 1.08508e6i 0.738812 + 1.53416i 0.841988 + 0.539497i \(0.181385\pi\)
−0.103175 + 0.994663i \(0.532900\pi\)
\(30\) 1.58916e6 + 362717.i 1.96193 + 0.447798i
\(31\) −252939. + 121809.i −0.273885 + 0.131896i −0.565785 0.824553i \(-0.691427\pi\)
0.291900 + 0.956449i \(0.405713\pi\)
\(32\) 437229. 348679.i 0.416974 0.332526i
\(33\) 409304. 93420.9i 0.345136 0.0787749i
\(34\) 270145. 215434.i 0.202154 0.161212i
\(35\) −62510.5 + 273876.i −0.0416563 + 0.182508i
\(36\) 303596. 0.180753
\(37\) 1.29460e6i 0.690761i 0.938463 + 0.345380i \(0.112250\pi\)
−0.938463 + 0.345380i \(0.887750\pi\)
\(38\) −89235.5 + 390966.i −0.0427960 + 0.187502i
\(39\) −623260. 497033.i −0.269408 0.214846i
\(40\) −2.61611e6 1.25985e6i −1.02192 0.492131i
\(41\) −3.68063e6 + 1.77250e6i −1.30253 + 0.627264i −0.951080 0.308944i \(-0.900024\pi\)
−0.351446 + 0.936208i \(0.614310\pi\)
\(42\) 612158.i 0.196728i
\(43\) 294832. + 3.40606e6i 0.0862384 + 0.996275i
\(44\) 281894. 0.0752099
\(45\) −1.62569e6 3.37577e6i −0.396448 0.823234i
\(46\) 2.03384e6 4.22331e6i 0.454240 0.943238i
\(47\) −3.60348e6 + 4.51862e6i −0.738467 + 0.926008i −0.999224 0.0393966i \(-0.987456\pi\)
0.260757 + 0.965404i \(0.416028\pi\)
\(48\) −7.99429e6 1.82464e6i −1.50597 0.343727i
\(49\) 5.65930e6 0.981699
\(50\) 6.45379e6i 1.03261i
\(51\) −1.94703e6 444397.i −0.287801 0.0656886i
\(52\) −333733. 418487.i −0.0456442 0.0572360i
\(53\) −244902. 1.07299e6i −0.0310377 0.135985i 0.957035 0.289972i \(-0.0936458\pi\)
−0.988073 + 0.153987i \(0.950789\pi\)
\(54\) 2.61906e6 + 3.28419e6i 0.308014 + 0.386237i
\(55\) −1.50948e6 3.13446e6i −0.164959 0.342541i
\(56\) 242652. 1.06313e6i 0.0246736 0.108102i
\(57\) 2.08830e6 1.00567e6i 0.197830 0.0952700i
\(58\) 1.35595e7 1.70031e7i 1.19821 1.50250i
\(59\) −1.63497e6 7.16328e6i −0.134928 0.591159i −0.996505 0.0835318i \(-0.973380\pi\)
0.861577 0.507627i \(-0.169477\pi\)
\(60\) −1.40765e6 6.16733e6i −0.108615 0.475874i
\(61\) 549482. 1.14101e6i 0.0396857 0.0824082i −0.880183 0.474634i \(-0.842580\pi\)
0.919869 + 0.392226i \(0.128295\pi\)
\(62\) 3.96352e6 + 3.16080e6i 0.268234 + 0.213909i
\(63\) 1.10013e6 877323.i 0.0698363 0.0556926i
\(64\) 9.02246e6 + 4.34499e6i 0.537780 + 0.258981i
\(65\) −2.86622e6 + 5.95178e6i −0.160567 + 0.333421i
\(66\) −4.72676e6 5.92718e6i −0.249108 0.312372i
\(67\) 4.71731e6 5.91532e6i 0.234097 0.293548i −0.650883 0.759178i \(-0.725601\pi\)
0.884979 + 0.465630i \(0.154172\pi\)
\(68\) −1.20815e6 581817.i −0.0565050 0.0272114i
\(69\) −2.64138e7 + 6.02878e6i −1.16529 + 0.265970i
\(70\) 4.94557e6 1.12879e6i 0.205980 0.0470135i
\(71\) −2.25173e6 1.79570e6i −0.0886102 0.0706643i 0.578183 0.815907i \(-0.303762\pi\)
−0.666793 + 0.745243i \(0.732333\pi\)
\(72\) 6.31057e6 + 1.31040e7i 0.234822 + 0.487612i
\(73\) 827508. + 188873.i 0.0291394 + 0.00665088i 0.237066 0.971494i \(-0.423814\pi\)
−0.207926 + 0.978144i \(0.566671\pi\)
\(74\) 2.10623e7 1.01431e7i 0.702391 0.338254i
\(75\) −2.91637e7 + 2.32573e7i −0.921718 + 0.735046i
\(76\) 1.51729e6 346311.i 0.0454793 0.0103803i
\(77\) 1.02149e6 814610.i 0.0290583 0.0231732i
\(78\) −3.20324e6 + 1.40343e7i −0.0865387 + 0.379151i
\(79\) −5.28311e7 −1.35638 −0.678189 0.734887i \(-0.737235\pi\)
−0.678189 + 0.734887i \(0.737235\pi\)
\(80\) 6.79498e7i 1.65893i
\(81\) 1.17274e7 5.13810e7i 0.272434 1.19361i
\(82\) 5.76749e7 + 4.59942e7i 1.27565 + 1.01730i
\(83\) 1.56619e7 + 7.54237e6i 0.330014 + 0.158926i 0.591552 0.806267i \(-0.298515\pi\)
−0.261538 + 0.965193i \(0.584230\pi\)
\(84\) 2.14043e6 1.03078e6i 0.0429917 0.0207037i
\(85\) 1.65493e7i 0.317033i
\(86\) 5.31046e7 3.14830e7i 0.970820 0.575549i
\(87\) −1.25698e8 −2.19408
\(88\) 5.85947e6 + 1.21673e7i 0.0977075 + 0.202892i
\(89\) 2.56080e7 5.31756e7i 0.408147 0.847525i −0.591018 0.806658i \(-0.701274\pi\)
0.999165 0.0408667i \(-0.0130119\pi\)
\(90\) −4.21846e7 + 5.28979e7i −0.642960 + 0.806247i
\(91\) −2.41867e6 552045.i −0.0352704 0.00805024i
\(92\) −1.81916e7 −0.253934
\(93\) 2.93010e7i 0.391698i
\(94\) 1.01748e8 + 2.32234e7i 1.30321 + 0.297450i
\(95\) −1.19755e7 1.50168e7i −0.147027 0.184366i
\(96\) 1.29881e7 + 5.69044e7i 0.152918 + 0.669978i
\(97\) 6.71761e7 + 8.42362e7i 0.758801 + 0.951506i 0.999819 0.0190142i \(-0.00605276\pi\)
−0.241018 + 0.970521i \(0.577481\pi\)
\(98\) −4.43402e7 9.20734e7i −0.480722 0.998229i
\(99\) −3.87768e6 + 1.69892e7i −0.0403675 + 0.176861i
\(100\) −2.25659e7 + 1.08672e7i −0.225659 + 0.108672i
\(101\) 1.16338e8 1.45883e8i 1.11799 1.40191i 0.212696 0.977118i \(-0.431776\pi\)
0.905291 0.424792i \(-0.139653\pi\)
\(102\) 8.02477e6 + 3.51588e7i 0.0741365 + 0.324813i
\(103\) 2.21883e7 + 9.72133e7i 0.197140 + 0.863727i 0.972629 + 0.232366i \(0.0746466\pi\)
−0.775488 + 0.631362i \(0.782496\pi\)
\(104\) 1.11261e7 2.31035e7i 0.0951061 0.197490i
\(105\) −2.29231e7 1.82805e7i −0.188589 0.150394i
\(106\) −1.55380e7 + 1.23912e7i −0.123076 + 0.0981497i
\(107\) 5.76207e6 + 2.77486e6i 0.0439585 + 0.0211693i 0.455734 0.890116i \(-0.349377\pi\)
−0.411775 + 0.911285i \(0.635091\pi\)
\(108\) 7.07322e6 1.46877e7i 0.0519903 0.107959i
\(109\) 1.47215e8 + 1.84601e8i 1.04291 + 1.30776i 0.950055 + 0.312083i \(0.101027\pi\)
0.0928509 + 0.995680i \(0.470402\pi\)
\(110\) −3.91692e7 + 4.91166e7i −0.267531 + 0.335473i
\(111\) −1.21737e8 5.86253e7i −0.801917 0.386183i
\(112\) −2.48787e7 + 5.67839e6i −0.158108 + 0.0360872i
\(113\) −3.38894e7 + 7.73504e6i −0.207850 + 0.0474405i −0.325178 0.945653i \(-0.605424\pi\)
0.117328 + 0.993093i \(0.462567\pi\)
\(114\) −3.27233e7 2.60960e7i −0.193748 0.154509i
\(115\) 9.74120e7 + 2.02278e8i 0.556956 + 1.15653i
\(116\) −8.22840e7 1.87808e7i −0.454447 0.103725i
\(117\) 2.98122e7 1.43568e7i 0.159093 0.0766152i
\(118\) −1.03732e8 + 8.27238e7i −0.535040 + 0.426680i
\(119\) −6.05926e6 + 1.38299e6i −0.0302156 + 0.00689652i
\(120\) 2.36939e8 1.88953e8i 1.14265 0.911231i
\(121\) 4.40988e7 1.93210e8i 0.205724 0.901337i
\(122\) −2.28687e7 −0.103229
\(123\) 4.26373e8i 1.86281i
\(124\) 4.37791e6 1.91809e7i 0.0185174 0.0811300i
\(125\) −2.24674e7 1.79172e7i −0.0920266 0.0733888i
\(126\) −2.28929e7 1.10247e7i −0.0908279 0.0437404i
\(127\) −3.03491e8 + 1.46153e8i −1.16662 + 0.561816i −0.913986 0.405746i \(-0.867012\pi\)
−0.252636 + 0.967561i \(0.581298\pi\)
\(128\) 3.23997e8i 1.20698i
\(129\) −3.33639e8 1.26518e8i −1.20481 0.456871i
\(130\) 1.19288e8 0.417662
\(131\) −1.51162e8 3.13890e8i −0.513282 1.06584i −0.983099 0.183077i \(-0.941394\pi\)
0.469817 0.882764i \(-0.344320\pi\)
\(132\) −1.27655e7 + 2.65077e7i −0.0420475 + 0.0873126i
\(133\) 4.49737e6 5.63953e6i 0.0143732 0.0180234i
\(134\) −1.33198e8 3.04017e7i −0.413124 0.0942928i
\(135\) −2.01192e8 −0.605726
\(136\) 6.42410e7i 0.187783i
\(137\) 2.14289e8 + 4.89100e7i 0.608299 + 0.138840i 0.515565 0.856851i \(-0.327582\pi\)
0.0927340 + 0.995691i \(0.470439\pi\)
\(138\) 3.05035e8 + 3.82502e8i 0.841072 + 1.05467i
\(139\) −9.86253e7 4.32106e8i −0.264198 1.15753i −0.916648 0.399695i \(-0.869116\pi\)
0.652450 0.757831i \(-0.273741\pi\)
\(140\) −1.22744e7 1.53917e7i −0.0319514 0.0400657i
\(141\) −2.61724e8 5.43475e8i −0.662166 1.37500i
\(142\) −1.15727e7 + 5.07035e7i −0.0284632 + 0.124705i
\(143\) 2.76812e7 1.33306e7i 0.0661973 0.0318790i
\(144\) 2.12210e8 2.66103e8i 0.493532 0.618869i
\(145\) 2.31783e8 + 1.01551e9i 0.524336 + 2.29726i
\(146\) −3.41061e6 1.49429e7i −0.00750621 0.0328869i
\(147\) −2.56279e8 + 5.32169e8i −0.548838 + 1.13967i
\(148\) −7.09313e7 5.65658e7i −0.147840 0.117898i
\(149\) −4.46706e8 + 3.56236e8i −0.906311 + 0.722759i −0.961235 0.275732i \(-0.911080\pi\)
0.0549239 + 0.998491i \(0.482508\pi\)
\(150\) 6.06878e8 + 2.92257e8i 1.19877 + 0.577298i
\(151\) −9.22180e7 + 1.91493e8i −0.177381 + 0.368336i −0.970636 0.240554i \(-0.922671\pi\)
0.793254 + 0.608890i \(0.208385\pi\)
\(152\) 4.64862e7 + 5.82918e7i 0.0870862 + 0.109203i
\(153\) 5.16842e7 6.48099e7i 0.0943175 0.118270i
\(154\) −2.12565e7 1.02366e7i −0.0377928 0.0182000i
\(155\) −2.36721e8 + 5.40299e7i −0.410118 + 0.0936068i
\(156\) 5.44652e7 1.24313e7i 0.0919646 0.0209903i
\(157\) −3.73292e8 2.97691e8i −0.614399 0.489967i 0.266144 0.963933i \(-0.414250\pi\)
−0.880543 + 0.473967i \(0.842822\pi\)
\(158\) 4.13928e8 + 8.59529e8i 0.664196 + 1.37922i
\(159\) 1.11988e8 + 2.55605e7i 0.175220 + 0.0399927i
\(160\) 4.35776e8 2.09859e8i 0.664942 0.320219i
\(161\) −6.59203e7 + 5.25696e7i −0.0981105 + 0.0782405i
\(162\) −9.27822e8 + 2.11769e8i −1.34711 + 0.307470i
\(163\) 2.47776e8 1.97595e8i 0.351001 0.279914i −0.432078 0.901836i \(-0.642219\pi\)
0.783079 + 0.621922i \(0.213648\pi\)
\(164\) 6.37049e7 2.79110e8i 0.0880638 0.385833i
\(165\) 3.63104e8 0.489886
\(166\) 3.13903e8i 0.413393i
\(167\) 1.82926e8 8.01453e8i 0.235185 1.03041i −0.710082 0.704119i \(-0.751342\pi\)
0.945268 0.326296i \(-0.105801\pi\)
\(168\) 8.89824e7 + 7.09611e7i 0.111704 + 0.0890806i
\(169\) 6.82386e8 + 3.28620e8i 0.836534 + 0.402854i
\(170\) 2.69248e8 1.29663e8i 0.322371 0.155246i
\(171\) 9.62079e7i 0.112519i
\(172\) −1.99501e8 1.32670e8i −0.227946 0.151586i
\(173\) 1.10896e9 1.23803 0.619015 0.785379i \(-0.287532\pi\)
0.619015 + 0.785379i \(0.287532\pi\)
\(174\) 9.84838e8 + 2.04504e9i 1.07440 + 2.23102i
\(175\) −5.03675e7 + 1.04589e8i −0.0537030 + 0.111515i
\(176\) 1.97040e8 2.47081e8i 0.205355 0.257507i
\(177\) 7.47634e8 + 1.70643e8i 0.761722 + 0.173858i
\(178\) −1.06577e9 −1.06166
\(179\) 5.56859e8i 0.542417i −0.962521 0.271208i \(-0.912577\pi\)
0.962521 0.271208i \(-0.0874233\pi\)
\(180\) 2.55992e8 + 5.84284e7i 0.243857 + 0.0556588i
\(181\) 1.00337e9 + 1.25819e9i 0.934865 + 1.17228i 0.984828 + 0.173533i \(0.0555182\pi\)
−0.0499631 + 0.998751i \(0.515910\pi\)
\(182\) 9.96864e6 + 4.36755e7i 0.00908554 + 0.0398063i
\(183\) 8.24113e7 + 1.03340e8i 0.0734822 + 0.0921438i
\(184\) −3.78132e8 7.85200e8i −0.329893 0.685029i
\(185\) −2.49151e8 + 1.09160e9i −0.212704 + 0.931918i
\(186\) −4.76710e8 + 2.29571e8i −0.398293 + 0.191808i
\(187\) 4.79897e7 6.01772e7i 0.0392447 0.0492114i
\(188\) −9.01268e7 3.94871e8i −0.0721477 0.316100i
\(189\) −1.68132e7 7.36632e7i −0.0131766 0.0577303i
\(190\) −1.50487e8 + 3.12489e8i −0.115474 + 0.239784i
\(191\) −1.62961e9 1.29957e9i −1.22448 0.976488i −0.999998 0.00200948i \(-0.999360\pi\)
−0.224480 0.974479i \(-0.572068\pi\)
\(192\) −8.17157e8 + 6.51661e8i −0.601313 + 0.479531i
\(193\) 1.83503e9 + 8.83705e8i 1.32256 + 0.636910i 0.955968 0.293472i \(-0.0948108\pi\)
0.366590 + 0.930382i \(0.380525\pi\)
\(194\) 8.44152e8 1.75290e9i 0.595955 1.23751i
\(195\) −4.29876e8 5.39048e8i −0.297307 0.372811i
\(196\) −2.47276e8 + 3.10075e8i −0.167555 + 0.210108i
\(197\) −2.50959e9 1.20855e9i −1.66624 0.802418i −0.998305 0.0581970i \(-0.981465\pi\)
−0.667933 0.744221i \(-0.732821\pi\)
\(198\) 3.06786e8 7.00219e7i 0.199607 0.0455589i
\(199\) −1.33151e8 + 3.03909e7i −0.0849049 + 0.0193790i −0.264762 0.964314i \(-0.585294\pi\)
0.179857 + 0.983693i \(0.442436\pi\)
\(200\) −9.38113e8 7.48120e8i −0.586321 0.467575i
\(201\) 3.42622e8 + 7.11463e8i 0.209909 + 0.435881i
\(202\) −3.28494e9 7.49765e8i −1.97297 0.450318i
\(203\) −3.52441e8 + 1.69727e8i −0.207541 + 0.0999462i
\(204\) 1.09422e8 8.72608e7i 0.0631804 0.0503847i
\(205\) −3.44463e9 + 7.86214e8i −1.95041 + 0.445169i
\(206\) 1.40776e9 1.12265e9i 0.781734 0.623412i
\(207\) 2.50241e8 1.09638e9i 0.136294 0.597143i
\(208\) −6.00080e8 −0.320594
\(209\) 8.93308e7i 0.0468183i
\(210\) −1.17813e8 + 5.16171e8i −0.0605780 + 0.265409i
\(211\) 4.19231e8 + 3.34326e8i 0.211506 + 0.168671i 0.723513 0.690311i \(-0.242526\pi\)
−0.512007 + 0.858982i \(0.671098\pi\)
\(212\) 6.94898e7 + 3.34645e7i 0.0344015 + 0.0165669i
\(213\) 2.70826e8 1.30423e8i 0.131575 0.0633631i
\(214\) 1.15486e8i 0.0550649i
\(215\) −4.06911e8 + 2.92873e9i −0.190435 + 1.37065i
\(216\) 7.80986e8 0.358780
\(217\) −3.95643e7 8.21561e7i −0.0178429 0.0370511i
\(218\) 1.84994e9 3.84143e9i 0.819088 1.70085i
\(219\) −5.52340e7 + 6.92612e7i −0.0240121 + 0.0301102i
\(220\) 2.37693e8 + 5.42518e7i 0.101467 + 0.0231592i
\(221\) −1.46151e8 −0.0612679
\(222\) 2.43991e9i 1.00453i
\(223\) 3.77741e9 + 8.62169e8i 1.52748 + 0.348637i 0.902045 0.431642i \(-0.142066\pi\)
0.625432 + 0.780279i \(0.284923\pi\)
\(224\) 1.13253e8 + 1.42015e8i 0.0449840 + 0.0564081i
\(225\) −3.44532e8 1.50949e9i −0.134431 0.588981i
\(226\) 3.91366e8 + 4.90757e8i 0.150020 + 0.188119i
\(227\) 9.19661e8 + 1.90970e9i 0.346357 + 0.719219i 0.999270 0.0382151i \(-0.0121672\pi\)
−0.652912 + 0.757434i \(0.726453\pi\)
\(228\) −3.61446e7 + 1.58360e8i −0.0133753 + 0.0586011i
\(229\) 1.60101e9 7.71007e8i 0.582174 0.280360i −0.119528 0.992831i \(-0.538138\pi\)
0.701702 + 0.712471i \(0.252424\pi\)
\(230\) 2.52773e9 3.16967e9i 0.903272 1.13267i
\(231\) 3.03437e7 + 1.32944e8i 0.0106566 + 0.0466898i
\(232\) −8.99732e8 3.94198e9i −0.310571 1.36070i
\(233\) 1.53529e9 3.18806e9i 0.520915 1.08169i −0.460119 0.887857i \(-0.652193\pi\)
0.981034 0.193834i \(-0.0620924\pi\)
\(234\) −4.67153e8 3.72542e8i −0.155810 0.124255i
\(235\) −3.90808e9 + 3.11659e9i −1.28142 + 1.02190i
\(236\) 4.63916e8 + 2.23410e8i 0.149552 + 0.0720203i
\(237\) 2.39243e9 4.96794e9i 0.758309 1.57465i
\(238\) 6.99742e7 + 8.77449e7i 0.0218087 + 0.0273473i
\(239\) 3.83368e9 4.80728e9i 1.17496 1.47336i 0.325629 0.945497i \(-0.394424\pi\)
0.849333 0.527858i \(-0.177005\pi\)
\(240\) −6.38962e9 3.07708e9i −1.92588 0.927456i
\(241\) 3.15833e8 7.20869e7i 0.0936246 0.0213692i −0.175452 0.984488i \(-0.556139\pi\)
0.269077 + 0.963119i \(0.413282\pi\)
\(242\) −3.48892e9 + 7.96322e8i −1.01725 + 0.232181i
\(243\) 3.10725e9 + 2.47795e9i 0.891151 + 0.710669i
\(244\) 3.85073e7 + 7.99613e7i 0.0108639 + 0.0225590i
\(245\) 4.77192e9 + 1.08916e9i 1.32443 + 0.302292i
\(246\) −6.93682e9 + 3.34060e9i −1.89418 + 0.912187i
\(247\) 1.32616e8 1.05758e8i 0.0356295 0.0284136i
\(248\) 9.18898e8 2.09733e8i 0.242919 0.0554446i
\(249\) −1.41848e9 + 1.13120e9i −0.369001 + 0.294268i
\(250\) −1.15471e8 + 5.05912e8i −0.0295606 + 0.129513i
\(251\) 3.42265e8 0.0862319 0.0431159 0.999070i \(-0.486272\pi\)
0.0431159 + 0.999070i \(0.486272\pi\)
\(252\) 9.86098e7i 0.0244522i
\(253\) 2.32353e8 1.01800e9i 0.0567108 0.248466i
\(254\) 4.75565e9 + 3.79251e9i 1.14255 + 0.911154i
\(255\) −1.55621e9 7.49430e8i −0.368050 0.177243i
\(256\) −2.96149e9 + 1.42618e9i −0.689526 + 0.332058i
\(257\) 6.89816e9i 1.58125i 0.612300 + 0.790625i \(0.290244\pi\)
−0.612300 + 0.790625i \(0.709756\pi\)
\(258\) 5.55665e8 + 6.41936e9i 0.125411 + 1.44881i
\(259\) −4.20493e8 −0.0934459
\(260\) −2.00863e8 4.17097e8i −0.0439549 0.0912732i
\(261\) 2.26377e9 4.70076e9i 0.487831 1.01299i
\(262\) −3.92246e9 + 4.91861e9i −0.832441 + 1.04385i
\(263\) 5.82462e8 + 1.32943e8i 0.121743 + 0.0277871i 0.282958 0.959132i \(-0.408684\pi\)
−0.161215 + 0.986919i \(0.551541\pi\)
\(264\) −1.40949e9 −0.290166
\(265\) 9.51873e8i 0.193017i
\(266\) −1.26988e8 2.89843e7i −0.0253651 0.00578943i
\(267\) 3.84069e9 + 4.81607e9i 0.755726 + 0.947650i
\(268\) 1.17985e8 + 5.16925e8i 0.0228711 + 0.100205i
\(269\) 1.90098e9 + 2.38375e9i 0.363051 + 0.455252i 0.929488 0.368854i \(-0.120250\pi\)
−0.566436 + 0.824106i \(0.691678\pi\)
\(270\) 1.57633e9 + 3.27328e9i 0.296614 + 0.615925i
\(271\) −1.13969e9 + 4.99329e9i −0.211304 + 0.925784i 0.752378 + 0.658732i \(0.228907\pi\)
−0.963682 + 0.267052i \(0.913950\pi\)
\(272\) −1.35445e9 + 6.52268e8i −0.247450 + 0.119166i
\(273\) 1.61440e8 2.02439e8i 0.0290643 0.0364455i
\(274\) −8.83200e8 3.86955e9i −0.156696 0.686528i
\(275\) −3.19904e8 1.40159e9i −0.0559357 0.245070i
\(276\) 8.23800e8 1.71064e9i 0.141966 0.294796i
\(277\) −3.82435e9 3.04982e9i −0.649588 0.518030i 0.242348 0.970189i \(-0.422082\pi\)
−0.891937 + 0.452160i \(0.850654\pi\)
\(278\) −6.25738e9 + 4.99009e9i −1.04764 + 0.835467i
\(279\) 1.09577e9 + 5.27697e8i 0.180844 + 0.0870899i
\(280\) 4.09209e8 8.49730e8i 0.0665752 0.138245i
\(281\) −9.17053e8 1.14995e9i −0.147085 0.184439i 0.702831 0.711357i \(-0.251919\pi\)
−0.849916 + 0.526918i \(0.823348\pi\)
\(282\) −6.79143e9 + 8.51618e9i −1.07390 + 1.34663i
\(283\) −3.28588e9 1.58240e9i −0.512279 0.246701i 0.159841 0.987143i \(-0.448902\pi\)
−0.672120 + 0.740442i \(0.734616\pi\)
\(284\) 1.96773e8 4.49123e7i 0.0302478 0.00690385i
\(285\) 1.95440e9 4.46078e8i 0.296233 0.0676132i
\(286\) −4.33760e8 3.45912e8i −0.0648314 0.0517013i
\(287\) −5.75718e8 1.19549e9i −0.0848560 0.176205i
\(288\) −2.36197e9 5.39104e8i −0.343324 0.0783615i
\(289\) 5.95506e9 2.86781e9i 0.853679 0.411110i
\(290\) 1.47057e10 1.17274e10i 2.07919 1.65810i
\(291\) −1.09631e10 + 2.50227e9i −1.52884 + 0.348949i
\(292\) −4.65054e7 + 3.70868e7i −0.00639693 + 0.00510138i
\(293\) 2.34801e9 1.02873e10i 0.318589 1.39583i −0.521441 0.853287i \(-0.674605\pi\)
0.840029 0.542541i \(-0.182538\pi\)
\(294\) 1.06660e10 1.42762
\(295\) 6.35473e9i 0.839091i
\(296\) 9.67152e8 4.23737e9i 0.125988 0.551988i
\(297\) 7.31582e8 + 5.83417e8i 0.0940236 + 0.0749813i
\(298\) 9.29566e9 + 4.47656e9i 1.17873 + 0.567648i
\(299\) −1.78636e9 + 8.60268e8i −0.223504 + 0.107634i
\(300\) 2.61409e9i 0.322727i
\(301\) −1.10631e9 + 9.57633e7i −0.134776 + 0.0116663i
\(302\) 3.83799e9 0.461398
\(303\) 8.44974e9 + 1.75461e10i 1.00247 + 2.08166i
\(304\) 7.57022e8 1.57197e9i 0.0886369 0.184056i
\(305\) 6.82916e8 8.56349e8i 0.0789165 0.0989581i
\(306\) −1.45936e9 3.33090e8i −0.166447 0.0379905i
\(307\) −1.88508e9 −0.212215 −0.106108 0.994355i \(-0.533839\pi\)
−0.106108 + 0.994355i \(0.533839\pi\)
\(308\) 9.15610e7i 0.0101744i
\(309\) −1.01462e10 2.31580e9i −1.11293 0.254020i
\(310\) 2.73372e9 + 3.42798e9i 0.296011 + 0.371186i
\(311\) −9.50730e8 4.16542e9i −0.101629 0.445264i −0.999982 0.00599048i \(-0.998093\pi\)
0.898354 0.439273i \(-0.144764\pi\)
\(312\) 1.66869e9 + 2.09247e9i 0.176099 + 0.220821i
\(313\) 2.21353e9 + 4.59643e9i 0.230625 + 0.478899i 0.983880 0.178831i \(-0.0572314\pi\)
−0.753254 + 0.657729i \(0.771517\pi\)
\(314\) −1.91853e9 + 8.40562e9i −0.197356 + 0.864672i
\(315\) 1.09647e9 5.28033e8i 0.111367 0.0536314i
\(316\) 2.30839e9 2.89463e9i 0.231505 0.290298i
\(317\) −3.64221e9 1.59576e10i −0.360685 1.58026i −0.751460 0.659778i \(-0.770650\pi\)
0.390775 0.920486i \(-0.372207\pi\)
\(318\) −4.61563e8 2.02224e9i −0.0451360 0.197754i
\(319\) 2.10195e9 4.36474e9i 0.202983 0.421498i
\(320\) 6.77152e9 + 5.40010e9i 0.645782 + 0.514994i
\(321\) −5.21866e8 + 4.16174e8i −0.0491517 + 0.0391972i
\(322\) 1.37176e9 + 6.60603e8i 0.127601 + 0.0614493i
\(323\) 1.84375e8 3.82858e8i 0.0169391 0.0351745i
\(324\) 2.30277e9 + 2.88758e9i 0.208963 + 0.262031i
\(325\) −1.70201e9 + 2.13425e9i −0.152556 + 0.191299i
\(326\) −5.15605e9 2.48303e9i −0.456507 0.219842i
\(327\) −2.40254e10 + 5.48365e9i −2.10126 + 0.479600i
\(328\) 1.33713e10 3.05191e9i 1.15526 0.263680i
\(329\) −1.46768e9 1.17043e9i −0.125270 0.0998995i
\(330\) −2.84489e9 5.90748e9i −0.239889 0.498134i
\(331\) −5.02091e9 1.14599e9i −0.418283 0.0954705i 0.00819884 0.999966i \(-0.497390\pi\)
−0.426482 + 0.904496i \(0.640247\pi\)
\(332\) −1.09757e9 + 5.28564e8i −0.0903404 + 0.0435056i
\(333\) 4.38484e9 3.49679e9i 0.356596 0.284376i
\(334\) −1.44724e10 + 3.30322e9i −1.16293 + 0.265431i
\(335\) 5.11606e9 4.07992e9i 0.406216 0.323946i
\(336\) 5.92656e8 2.59660e9i 0.0464992 0.203726i
\(337\) −3.93653e9 −0.305206 −0.152603 0.988288i \(-0.548766\pi\)
−0.152603 + 0.988288i \(0.548766\pi\)
\(338\) 1.36767e10i 1.04789i
\(339\) 8.07309e8 3.53705e9i 0.0611281 0.267820i
\(340\) −9.06742e8 7.23102e8i −0.0678528 0.0541108i
\(341\) 1.01745e9 + 4.89976e8i 0.0752478 + 0.0362374i
\(342\) 1.56524e9 7.53782e8i 0.114414 0.0550987i
\(343\) 3.71062e9i 0.268084i
\(344\) 1.57954e9 1.13687e10i 0.112797 0.811853i
\(345\) −2.34324e10 −1.65402
\(346\) −8.68862e9 1.80421e10i −0.606242 1.25888i
\(347\) −1.09971e10 + 2.28357e10i −0.758507 + 1.57506i 0.0584055 + 0.998293i \(0.481398\pi\)
−0.816912 + 0.576762i \(0.804316\pi\)
\(348\) 5.49224e9 6.88705e9i 0.374483 0.469587i
\(349\) −2.00804e10 4.58322e9i −1.35354 0.308936i −0.516597 0.856229i \(-0.672801\pi\)
−0.836941 + 0.547293i \(0.815658\pi\)
\(350\) 2.09623e9 0.139690
\(351\) 1.77678e9i 0.117059i
\(352\) −2.19313e9 5.00568e8i −0.142854 0.0326056i
\(353\) 9.89058e9 + 1.24024e10i 0.636976 + 0.798743i 0.990621 0.136637i \(-0.0436294\pi\)
−0.353645 + 0.935380i \(0.615058\pi\)
\(354\) −3.08141e9 1.35005e10i −0.196217 0.859682i
\(355\) −1.55307e9 1.94749e9i −0.0977862 0.122620i
\(356\) 1.79459e9 + 3.72651e9i 0.111729 + 0.232008i
\(357\) 1.44343e8 6.32407e8i 0.00888633 0.0389336i
\(358\) −9.05976e9 + 4.36295e9i −0.551550 + 0.265612i
\(359\) −1.03967e10 + 1.30371e10i −0.625921 + 0.784880i −0.989164 0.146814i \(-0.953098\pi\)
0.363243 + 0.931695i \(0.381670\pi\)
\(360\) 2.79913e9 + 1.22638e10i 0.166653 + 0.730155i
\(361\) −3.66945e9 1.60769e10i −0.216059 0.946617i
\(362\) 1.26087e10 2.61821e10i 0.734234 1.52465i
\(363\) 1.61714e10 + 1.28962e10i 0.931365 + 0.742739i
\(364\) 1.35927e8 1.08398e8i 0.00774286 0.00617472i
\(365\) 6.61405e8 + 3.18516e8i 0.0372645 + 0.0179457i
\(366\) 1.03560e9 2.15045e9i 0.0577122 0.119841i
\(367\) 2.10424e10 + 2.63863e10i 1.15993 + 1.45450i 0.866959 + 0.498380i \(0.166072\pi\)
0.292968 + 0.956122i \(0.405357\pi\)
\(368\) −1.27157e10 + 1.59450e10i −0.693345 + 0.869427i
\(369\) 1.59451e10 + 7.67876e9i 0.860047 + 0.414177i
\(370\) 1.97118e10 4.49909e9i 1.05177 0.240059i
\(371\) 3.48513e8 7.95457e7i 0.0183960 0.00419876i
\(372\) 1.60541e9 + 1.28027e9i 0.0838329 + 0.0668545i
\(373\) 1.42490e10 + 2.95884e10i 0.736122 + 1.52857i 0.845147 + 0.534534i \(0.179513\pi\)
−0.109024 + 0.994039i \(0.534773\pi\)
\(374\) −1.35504e9 3.09279e8i −0.0692574 0.0158076i
\(375\) 2.70226e9 1.30134e9i 0.136648 0.0658061i
\(376\) 1.51703e10 1.20979e10i 0.759004 0.605285i
\(377\) −8.96818e9 + 2.04693e9i −0.443955 + 0.101330i
\(378\) −1.06673e9 + 8.50686e8i −0.0522500 + 0.0416679i
\(379\) 3.06463e9 1.34270e10i 0.148533 0.650764i −0.844761 0.535144i \(-0.820257\pi\)
0.993294 0.115620i \(-0.0368855\pi\)
\(380\) 1.34602e9 0.0645533
\(381\) 3.51571e10i 1.66845i
\(382\) −8.37536e9 + 3.66949e10i −0.393324 + 1.72326i
\(383\) −1.23231e10 9.82733e9i −0.572696 0.456710i 0.293819 0.955861i \(-0.405074\pi\)
−0.866515 + 0.499151i \(0.833645\pi\)
\(384\) 3.04669e10 + 1.46721e10i 1.40121 + 0.674788i
\(385\) 1.01809e9 4.90288e8i 0.0463388 0.0223156i
\(386\) 3.67787e10i 1.65671i
\(387\) 1.07401e10 1.01986e10i 0.478810 0.454671i
\(388\) −7.55050e9 −0.333157
\(389\) 2.41906e9 + 5.02323e9i 0.105645 + 0.219374i 0.947090 0.320970i \(-0.104009\pi\)
−0.841445 + 0.540343i \(0.818294\pi\)
\(390\) −5.40193e9 + 1.12172e10i −0.233502 + 0.484872i
\(391\) −3.09694e9 + 3.88345e9i −0.132503 + 0.166154i
\(392\) −1.85236e10 4.22788e9i −0.784477 0.179052i
\(393\) 3.63618e10 1.52432
\(394\) 5.02984e10i 2.08722i
\(395\) −4.45471e10 1.01676e10i −1.82992 0.417666i
\(396\) −7.61414e8 9.54783e8i −0.0309628 0.0388261i
\(397\) 2.02816e8 + 8.88597e8i 0.00816472 + 0.0357720i 0.978846 0.204598i \(-0.0655885\pi\)
−0.970681 + 0.240369i \(0.922731\pi\)
\(398\) 1.53767e9 + 1.92818e9i 0.0612818 + 0.0768449i
\(399\) 3.26648e8 + 6.78292e8i 0.0128881 + 0.0267624i
\(400\) −6.24819e9 + 2.73751e10i −0.244070 + 1.06934i
\(401\) −2.00171e10 + 9.63970e9i −0.774146 + 0.372809i −0.778874 0.627180i \(-0.784209\pi\)
0.00472879 + 0.999989i \(0.498495\pi\)
\(402\) 8.89065e9 1.11485e10i 0.340431 0.426887i
\(403\) −4.77151e8 2.09053e9i −0.0180899 0.0792569i
\(404\) 2.90974e9 + 1.27484e10i 0.109227 + 0.478553i
\(405\) 1.97770e10 4.10675e10i 0.735091 1.52643i
\(406\) 5.52271e9 + 4.40421e9i 0.203258 + 0.162093i
\(407\) 4.07140e9 3.24683e9i 0.148377 0.118327i
\(408\) 6.04086e9 + 2.90913e9i 0.218001 + 0.104984i
\(409\) −9.33409e9 + 1.93824e10i −0.333564 + 0.692652i −0.998529 0.0542220i \(-0.982732\pi\)
0.664965 + 0.746874i \(0.268446\pi\)
\(410\) 3.97796e10 + 4.98821e10i 1.40775 + 1.76526i
\(411\) −1.43032e10 + 1.79356e10i −0.501263 + 0.628564i
\(412\) −6.29583e9 3.03191e9i −0.218506 0.105227i
\(413\) 2.32668e9 5.31049e8i 0.0799717 0.0182530i
\(414\) −1.97980e10 + 4.51876e9i −0.673938 + 0.153822i
\(415\) 1.17545e10 + 9.37392e9i 0.396290 + 0.316030i
\(416\) 1.85331e9 + 3.84844e9i 0.0618835 + 0.128503i
\(417\) 4.50990e10 + 1.02936e10i 1.49150 + 0.340425i
\(418\) 1.45336e9 6.99900e8i 0.0476066 0.0229261i
\(419\) 2.11840e10 1.68937e10i 0.687309 0.548111i −0.216375 0.976310i \(-0.569423\pi\)
0.903684 + 0.428199i \(0.140852\pi\)
\(420\) 2.00319e9 4.57215e8i 0.0643761 0.0146934i
\(421\) −7.87913e9 + 6.28340e9i −0.250813 + 0.200017i −0.740823 0.671700i \(-0.765564\pi\)
0.490010 + 0.871717i \(0.336993\pi\)
\(422\) 2.15463e9 9.44005e9i 0.0679396 0.297663i
\(423\) 2.50379e10 0.782055
\(424\) 3.69497e9i 0.114327i
\(425\) −1.52176e9 + 6.66727e9i −0.0466435 + 0.204358i
\(426\) −4.24381e9 3.38433e9i −0.128860 0.102762i
\(427\) 3.70608e8 + 1.78475e8i 0.0111482 + 0.00536867i
\(428\) −4.03802e8 + 1.94461e8i −0.0120335 + 0.00579504i
\(429\) 3.20665e9i 0.0946723i
\(430\) 5.08368e10 1.63262e10i 1.48698 0.477542i
\(431\) −6.45727e10 −1.87129 −0.935643 0.352948i \(-0.885179\pi\)
−0.935643 + 0.352948i \(0.885179\pi\)
\(432\) −7.92971e9 1.64662e10i −0.227679 0.472780i
\(433\) −8.36449e9 + 1.73690e10i −0.237951 + 0.494111i −0.985410 0.170197i \(-0.945559\pi\)
0.747459 + 0.664308i \(0.231274\pi\)
\(434\) −1.02665e9 + 1.28737e9i −0.0289376 + 0.0362866i
\(435\) −1.05989e11 2.41913e10i −2.96008 0.675618i
\(436\) −1.65467e10 −0.457895
\(437\) 5.76483e9i 0.158074i
\(438\) 1.55959e9 + 3.55967e8i 0.0423755 + 0.00967193i
\(439\) −2.22082e10 2.78482e10i −0.597936 0.749788i 0.387119 0.922030i \(-0.373470\pi\)
−0.985055 + 0.172242i \(0.944899\pi\)
\(440\) 2.59904e9 + 1.13872e10i 0.0693430 + 0.303812i
\(441\) −1.52861e10 1.91682e10i −0.404151 0.506789i
\(442\) 1.14508e9 + 2.37779e9i 0.0300018 + 0.0622995i
\(443\) −6.68293e9 + 2.92798e10i −0.173521 + 0.760245i 0.811010 + 0.585033i \(0.198918\pi\)
−0.984531 + 0.175212i \(0.943939\pi\)
\(444\) 8.53123e9 4.10842e9i 0.219523 0.105717i
\(445\) 3.18266e10 3.99093e10i 0.811614 1.01773i
\(446\) −1.55688e10 6.82112e10i −0.393473 1.72392i
\(447\) −1.32696e10 5.81378e10i −0.332374 1.45623i
\(448\) −1.41128e9 + 2.93055e9i −0.0350349 + 0.0727507i
\(449\) −9.44890e9 7.53525e9i −0.232486 0.185401i 0.500317 0.865842i \(-0.333217\pi\)
−0.732803 + 0.680441i \(0.761788\pi\)
\(450\) −2.18592e10 + 1.74321e10i −0.533069 + 0.425108i
\(451\) 1.48053e10 + 7.12987e9i 0.357859 + 0.172336i
\(452\) 1.05695e9 2.19478e9i 0.0253222 0.0525821i
\(453\) −1.38308e10 1.73433e10i −0.328440 0.411851i
\(454\) 2.38641e10 2.99247e10i 0.561723 0.704378i
\(455\) −1.93317e9 9.30968e8i −0.0451051 0.0217215i
\(456\) −7.58655e9 + 1.73158e9i −0.175463 + 0.0400482i
\(457\) 6.19482e10 1.41393e10i 1.42025 0.324162i 0.557660 0.830070i \(-0.311699\pi\)
0.862588 + 0.505908i \(0.168842\pi\)
\(458\) −2.50876e10 2.00067e10i −0.570161 0.454688i
\(459\) −1.93130e9 4.01039e9i −0.0435110 0.0903516i
\(460\) −1.53392e10 3.50106e9i −0.342586 0.0781931i
\(461\) 6.95904e10 3.35130e10i 1.54080 0.742009i 0.545430 0.838156i \(-0.316366\pi\)
0.995367 + 0.0961478i \(0.0306521\pi\)
\(462\) 1.92518e9 1.53528e9i 0.0422576 0.0336993i
\(463\) 2.65322e10 6.05580e9i 0.577363 0.131779i 0.0761397 0.997097i \(-0.475740\pi\)
0.501224 + 0.865318i \(0.332883\pi\)
\(464\) −7.39769e10 + 5.89946e10i −1.59597 + 1.27274i
\(465\) 5.63912e9 2.47066e10i 0.120615 0.528447i
\(466\) −6.38968e10 −1.35499
\(467\) 5.54369e10i 1.16555i 0.812633 + 0.582776i \(0.198033\pi\)
−0.812633 + 0.582776i \(0.801967\pi\)
\(468\) −5.15995e8 + 2.26072e9i −0.0107563 + 0.0471264i
\(469\) 1.92133e9 + 1.53221e9i 0.0397111 + 0.0316685i
\(470\) 8.13246e10 + 3.91639e10i 1.66660 + 0.802591i
\(471\) 4.48976e10 2.16215e10i 0.912303 0.439342i
\(472\) 2.46677e10i 0.497005i
\(473\) 9.97235e9 9.46958e9i 0.199229 0.189185i
\(474\) −9.95699e10 −1.97249
\(475\) −3.44375e9 7.15102e9i −0.0676483 0.140473i
\(476\) 1.88978e8 3.92416e8i 0.00368114 0.00764398i
\(477\) −2.97274e9 + 3.72769e9i −0.0574226 + 0.0720057i
\(478\) −1.08248e11 2.47069e10i −2.07352 0.473268i
\(479\) −4.25127e10 −0.807563 −0.403782 0.914855i \(-0.632304\pi\)
−0.403782 + 0.914855i \(0.632304\pi\)
\(480\) 5.04813e10i 0.950968i
\(481\) −9.64021e9 2.20031e9i −0.180097 0.0411059i
\(482\) −3.64734e9 4.57362e9i −0.0675754 0.0847368i
\(483\) −1.95819e9 8.57937e9i −0.0359803 0.157640i
\(484\) 8.65916e9 + 1.08582e10i 0.157795 + 0.197869i
\(485\) 4.04312e10 + 8.39562e10i 0.730718 + 1.51735i
\(486\) 1.59697e10 6.99677e10i 0.286253 1.25416i
\(487\) 8.32316e10 4.00822e10i 1.47970 0.712584i 0.492237 0.870461i \(-0.336179\pi\)
0.987459 + 0.157877i \(0.0504649\pi\)
\(488\) −2.65093e9 + 3.32416e9i −0.0467433 + 0.0586142i
\(489\) 7.36028e9 + 3.22475e10i 0.128724 + 0.563976i
\(490\) −1.96677e10 8.61697e10i −0.341168 1.49476i
\(491\) −8.37277e9 + 1.73862e10i −0.144060 + 0.299143i −0.960497 0.278291i \(-0.910232\pi\)
0.816437 + 0.577435i \(0.195946\pi\)
\(492\) 2.33611e10 + 1.86298e10i 0.398687 + 0.317942i
\(493\) −1.80173e10 + 1.43683e10i −0.305001 + 0.243230i
\(494\) −2.75966e9 1.32898e9i −0.0463391 0.0223158i
\(495\) −6.53932e9 + 1.35790e10i −0.108921 + 0.226177i
\(496\) −1.37520e10 1.72444e10i −0.227216 0.284920i
\(497\) 5.83254e8 7.31378e8i 0.00955944 0.0119872i
\(498\) 2.95177e10 + 1.42150e10i 0.479916 + 0.231116i
\(499\) −3.08808e10 + 7.04834e9i −0.498065 + 0.113680i −0.464172 0.885745i \(-0.653648\pi\)
−0.0338936 + 0.999425i \(0.510791\pi\)
\(500\) 1.96337e9 4.48127e8i 0.0314140 0.00717004i
\(501\) 6.70804e10 + 5.34948e10i 1.06474 + 0.849104i
\(502\) −2.68162e9 5.56845e9i −0.0422263 0.0876838i
\(503\) 1.03500e11 + 2.36232e10i 1.61685 + 0.369035i 0.932798 0.360401i \(-0.117360\pi\)
0.684050 + 0.729435i \(0.260217\pi\)
\(504\) −4.25627e9 + 2.04971e9i −0.0659640 + 0.0317666i
\(505\) 1.26172e11 1.00619e11i 1.93998 1.54709i
\(506\) −1.83828e10 + 4.19575e9i −0.280420 + 0.0640041i
\(507\) −6.18032e10 + 4.92864e10i −0.935361 + 0.745925i
\(508\) 5.25287e9 2.30143e10i 0.0788754 0.345576i
\(509\) −2.73397e9 −0.0407307 −0.0203654 0.999793i \(-0.506483\pi\)
−0.0203654 + 0.999793i \(0.506483\pi\)
\(510\) 3.11903e10i 0.461040i
\(511\) −6.13472e7 + 2.68780e8i −0.000899729 + 0.00394197i
\(512\) −1.84415e10 1.47066e10i −0.268360 0.214010i
\(513\) 4.65445e9 + 2.24147e9i 0.0672047 + 0.0323641i
\(514\) 1.12229e11 5.40466e10i 1.60787 0.774312i
\(515\) 8.62404e10i 1.22598i
\(516\) 2.15099e10 1.27521e10i 0.303416 0.179880i
\(517\) 2.32482e10 0.325407
\(518\) 3.29454e9 + 6.84117e9i 0.0457588 + 0.0950192i
\(519\) −5.02188e10 + 1.04280e11i −0.692145 + 1.43725i
\(520\) 1.38279e10 1.73396e10i 0.189122 0.237151i
\(521\) −4.75273e10 1.08478e10i −0.645048 0.147228i −0.112532 0.993648i \(-0.535896\pi\)
−0.532516 + 0.846420i \(0.678753\pi\)
\(522\) −9.42150e10 −1.26893
\(523\) 7.77067e9i 0.103861i −0.998651 0.0519304i \(-0.983463\pi\)
0.998651 0.0519304i \(-0.0165374\pi\)
\(524\) 2.38029e10 + 5.43286e9i 0.315722 + 0.0720616i
\(525\) −7.55412e9 9.47257e9i −0.0994367 0.124690i
\(526\) −2.40064e9 1.05179e10i −0.0313606 0.137400i
\(527\) −3.34933e9 4.19993e9i −0.0434226 0.0544502i
\(528\) 1.43112e10 + 2.97175e10i 0.184137 + 0.382364i
\(529\) 2.43128e9 1.06522e10i 0.0310465 0.136024i
\(530\) −1.54864e10 + 7.45786e9i −0.196267 + 0.0945172i
\(531\) −1.98461e10 + 2.48862e10i −0.249630 + 0.313026i
\(532\) 1.12484e8 + 4.92824e8i 0.00140425 + 0.00615242i
\(533\) −6.94324e9 3.04203e10i −0.0860307 0.376925i
\(534\) 4.82631e10 1.00219e11i 0.593540 1.23250i
\(535\) 4.32453e9 + 3.44870e9i 0.0527866 + 0.0420959i
\(536\) −1.98595e10 + 1.58374e10i −0.240607 + 0.191878i
\(537\) 5.23639e10 + 2.52171e10i 0.629702 + 0.303249i
\(538\) 2.38882e10 4.96043e10i 0.285137 0.592093i
\(539\) −1.41935e10 1.77980e10i −0.168164 0.210871i
\(540\) 8.79085e9 1.10234e10i 0.103385 0.129640i
\(541\) −4.07181e10 1.96088e10i −0.475334 0.228909i 0.180849 0.983511i \(-0.442116\pi\)
−0.656182 + 0.754602i \(0.727830\pi\)
\(542\) 9.01672e10 2.05801e10i 1.04484 0.238479i
\(543\) −1.63751e11 + 3.73751e10i −1.88358 + 0.429915i
\(544\) 8.36627e9 + 6.67188e9i 0.0955292 + 0.0761820i
\(545\) 8.86039e10 + 1.83988e11i 1.00431 + 2.08547i
\(546\) −4.55843e9 1.04043e9i −0.0512914 0.0117069i
\(547\) −8.02196e10 + 3.86317e10i −0.896048 + 0.431514i −0.824460 0.565920i \(-0.808521\pi\)
−0.0715881 + 0.997434i \(0.522807\pi\)
\(548\) −1.20429e10 + 9.60386e9i −0.133539 + 0.106494i
\(549\) −5.34882e9 + 1.22083e9i −0.0588801 + 0.0134390i
\(550\) −2.02966e10 + 1.61860e10i −0.221806 + 0.176884i
\(551\) 5.95153e9 2.60754e10i 0.0645688 0.282894i
\(552\) 9.09594e10 0.979696
\(553\) 1.71599e10i 0.183490i
\(554\) −1.96552e10 + 8.61149e10i −0.208659 + 0.914196i
\(555\) −9.13656e10 7.28616e10i −0.962965 0.767939i
\(556\) 2.79845e10 + 1.34766e10i 0.292832 + 0.141020i
\(557\) 2.17903e9 1.04936e9i 0.0226382 0.0109020i −0.422530 0.906349i \(-0.638858\pi\)
0.445169 + 0.895447i \(0.353144\pi\)
\(558\) 2.19621e10i 0.226535i
\(559\) −2.58643e10 3.59353e9i −0.264883 0.0368022i
\(560\) −2.20705e10 −0.224419
\(561\) 3.48553e9 + 7.23778e9i 0.0351899 + 0.0730725i
\(562\) −1.15239e10 + 2.39297e10i −0.115519 + 0.239879i
\(563\) −8.43020e10 + 1.05711e11i −0.839082 + 1.05218i 0.158812 + 0.987309i \(0.449234\pi\)
−0.997894 + 0.0648670i \(0.979338\pi\)
\(564\) 4.12129e10 + 9.40656e9i 0.407302 + 0.0929640i
\(565\) −3.00642e10 −0.295023
\(566\) 6.58573e10i 0.641709i
\(567\) 1.66889e10 + 3.80913e9i 0.161471 + 0.0368547i
\(568\) 6.02869e9 + 7.55973e9i 0.0579201 + 0.0726295i
\(569\) −2.72668e10 1.19464e11i −0.260127 1.13969i −0.921114 0.389292i \(-0.872720\pi\)
0.660988 0.750397i \(-0.270137\pi\)
\(570\) −2.25700e10 2.83019e10i −0.213812 0.268111i
\(571\) 7.17514e10 + 1.48993e11i 0.674972 + 1.40159i 0.903726 + 0.428110i \(0.140821\pi\)
−0.228754 + 0.973484i \(0.573465\pi\)
\(572\) −4.79111e8 + 2.09912e9i −0.00447561 + 0.0196089i
\(573\) 1.96001e11 9.43891e10i 1.81819 0.875595i
\(574\) −1.49392e10 + 1.87332e10i −0.137620 + 0.172569i
\(575\) 2.06445e10 + 9.04496e10i 0.188857 + 0.827438i
\(576\) −9.65365e9 4.22954e10i −0.0877004 0.384241i
\(577\) 1.42573e9 2.96057e9i 0.0128628 0.0267098i −0.894438 0.447191i \(-0.852424\pi\)
0.907301 + 0.420481i \(0.138139\pi\)
\(578\) −9.33149e10 7.44162e10i −0.836065 0.666739i
\(579\) −1.66197e11 + 1.32538e11i −1.47880 + 1.17931i
\(580\) −6.57673e10 3.16719e10i −0.581163 0.279874i
\(581\) −2.44981e9 + 5.08708e9i −0.0214995 + 0.0446441i
\(582\) 1.26606e11 + 1.58759e11i 1.10347 + 1.38371i
\(583\) −2.76024e9 + 3.46123e9i −0.0238931 + 0.0299610i
\(584\) −2.56743e9 1.23641e9i −0.0220723 0.0106295i
\(585\) 2.79007e10 6.36815e9i 0.238227 0.0543738i
\(586\) −1.85765e11 + 4.23997e10i −1.57534 + 0.359561i
\(587\) −5.72879e10 4.56856e10i −0.482514 0.384792i 0.351805 0.936073i \(-0.385568\pi\)
−0.834320 + 0.551281i \(0.814139\pi\)
\(588\) −1.79599e10 3.72941e10i −0.150243 0.311983i
\(589\) 6.07832e9 + 1.38734e9i 0.0505036 + 0.0115271i
\(590\) −1.03388e11 + 4.97889e10i −0.853219 + 0.410889i
\(591\) 2.27291e11 1.81259e11i 1.86308 1.48576i
\(592\) −9.91602e10 + 2.26327e10i −0.807329 + 0.184268i
\(593\) −1.29509e10 + 1.03280e10i −0.104733 + 0.0835215i −0.674456 0.738315i \(-0.735622\pi\)
0.569723 + 0.821837i \(0.307050\pi\)
\(594\) 3.75995e9 1.64734e10i 0.0302020 0.132324i
\(595\) −5.37533e9 −0.0428881
\(596\) 4.00405e10i 0.317332i
\(597\) 3.17191e9 1.38970e10i 0.0249703 0.109402i
\(598\) 2.79921e10 + 2.23229e10i 0.218892 + 0.174561i
\(599\) 1.10826e11 + 5.33709e10i 0.860862 + 0.414569i 0.811598 0.584217i \(-0.198598\pi\)
0.0492640 + 0.998786i \(0.484312\pi\)
\(600\) 1.12831e11 5.43366e10i 0.870611 0.419264i
\(601\) 1.40384e11i 1.07602i −0.842938 0.538011i \(-0.819176\pi\)
0.842938 0.538011i \(-0.180824\pi\)
\(602\) 1.02259e10 + 1.72487e10i 0.0778601 + 0.131332i
\(603\) −3.27771e10 −0.247914
\(604\) −6.46257e9 1.34197e10i −0.0485577 0.100831i
\(605\) 7.43682e10 1.54427e11i 0.555093 1.15266i
\(606\) 2.19261e11 2.74944e11i 1.62581 2.03870i
\(607\) 6.34672e10 + 1.44860e10i 0.467514 + 0.106707i 0.449787 0.893136i \(-0.351500\pi\)
0.0177270 + 0.999843i \(0.494357\pi\)
\(608\) −1.24194e10 −0.0908839
\(609\) 4.08277e10i 0.296815i
\(610\) −1.92829e10 4.40119e9i −0.139268 0.0317871i
\(611\) −2.75234e10 3.45132e10i −0.197486 0.247640i
\(612\) 1.29268e9 + 5.66358e9i 0.00921475 + 0.0403725i
\(613\) 9.76751e9 + 1.22481e10i 0.0691739 + 0.0867413i 0.815215 0.579159i \(-0.196619\pi\)
−0.746041 + 0.665900i \(0.768048\pi\)
\(614\) 1.47695e10 + 3.06691e10i 0.103918 + 0.215788i
\(615\) 8.20574e10 3.59517e11i 0.573611 2.51315i
\(616\) −3.95202e9 + 1.90319e9i −0.0274471 + 0.0132178i
\(617\) −1.03739e10 + 1.30085e10i −0.0715816 + 0.0897605i −0.816333 0.577581i \(-0.803997\pi\)
0.744751 + 0.667342i \(0.232568\pi\)
\(618\) 4.18180e10 + 1.83216e11i 0.286688 + 1.25606i
\(619\) −2.59310e10 1.13611e11i −0.176627 0.773853i −0.983172 0.182681i \(-0.941522\pi\)
0.806545 0.591172i \(-0.201335\pi\)
\(620\) 7.38290e9 1.53307e10i 0.0499643 0.103752i
\(621\) −4.72115e10 3.76500e10i −0.317455 0.253162i
\(622\) −6.03200e10 + 4.81036e10i −0.402995 + 0.321378i
\(623\) 1.72718e10 + 8.31765e9i 0.114653 + 0.0552139i
\(624\) 2.71744e10 5.64282e10i 0.179234 0.372184i
\(625\) −1.02541e11 1.28582e11i −0.672012 0.842677i
\(626\) 5.74384e10 7.20254e10i 0.374029 0.469017i
\(627\) −8.40017e9 4.04531e9i −0.0543523 0.0261747i
\(628\) 3.26211e10 7.44555e9i 0.209730 0.0478694i
\(629\) −2.41507e10 + 5.51224e9i −0.154286 + 0.0352148i
\(630\) −1.71816e10 1.37018e10i −0.109069 0.0869794i
\(631\) 8.13381e10 + 1.68900e11i 0.513070 + 1.06540i 0.983154 + 0.182779i \(0.0585094\pi\)
−0.470084 + 0.882622i \(0.655776\pi\)
\(632\) 1.72922e11 + 3.94684e10i 1.08388 + 0.247389i
\(633\) −5.04228e10 + 2.42824e10i −0.314060 + 0.151243i
\(634\) −2.31084e11 + 1.84283e11i −1.43025 + 1.14059i
\(635\) −2.84031e11 + 6.48282e10i −1.74691 + 0.398721i
\(636\) −6.29364e9 + 5.01901e9i −0.0384657 + 0.0306754i
\(637\) −9.61862e9 + 4.21419e10i −0.0584191 + 0.255951i
\(638\) −8.74803e10 −0.527992
\(639\) 1.24770e10i 0.0748352i
\(640\) 6.23548e10 2.73194e11i 0.371664 1.62836i
\(641\) 1.58473e11 + 1.26378e11i 0.938693 + 0.748583i 0.967990 0.250988i \(-0.0807555\pi\)
−0.0292971 + 0.999571i \(0.509327\pi\)
\(642\) 1.08597e10 + 5.22975e9i 0.0639259 + 0.0307851i
\(643\) 2.73140e11 1.31537e11i 1.59787 0.769492i 0.598371 0.801219i \(-0.295815\pi\)
0.999497 + 0.0317268i \(0.0101007\pi\)
\(644\) 5.90875e9i 0.0343520i
\(645\) −2.56975e11 1.70890e11i −1.48474 0.987366i
\(646\) −7.67343e9 −0.0440615
\(647\) 1.00441e11 + 2.08568e11i 0.573185 + 1.19023i 0.963041 + 0.269355i \(0.0868106\pi\)
−0.389856 + 0.920876i \(0.627475\pi\)
\(648\) −7.67702e10 + 1.59415e11i −0.435405 + 0.904127i
\(649\) −1.84274e10 + 2.31073e10i −0.103869 + 0.130248i
\(650\) 4.80581e10 + 1.09689e10i 0.269223 + 0.0614485i
\(651\) 9.51716e9 0.0529887
\(652\) 2.22094e10i 0.122898i
\(653\) −3.04256e11 6.94444e10i −1.67335 0.381931i −0.722447 0.691427i \(-0.756983\pi\)
−0.950901 + 0.309496i \(0.899840\pi\)
\(654\) 2.77453e11 + 3.47915e11i 1.51663 + 1.90179i
\(655\) −6.70496e10 2.93764e11i −0.364277 1.59600i
\(656\) −2.00111e11 2.50932e11i −1.08058 1.35500i
\(657\) −1.59543e9 3.31295e9i −0.00856283 0.0177809i
\(658\) −7.54310e9 + 3.30485e10i −0.0402389 + 0.176298i
\(659\) 1.31792e11 6.34676e10i 0.698790 0.336519i −0.0505348 0.998722i \(-0.516093\pi\)
0.749325 + 0.662203i \(0.230378\pi\)
\(660\) −1.58654e10 + 1.98945e10i −0.0836131 + 0.104848i
\(661\) 3.88226e10 + 1.70093e11i 0.203366 + 0.891005i 0.968869 + 0.247573i \(0.0796330\pi\)
−0.765503 + 0.643432i \(0.777510\pi\)
\(662\) 2.06939e10 + 9.06660e10i 0.107748 + 0.472076i
\(663\) 6.61839e9 1.37432e10i 0.0342530 0.0711270i
\(664\) −4.56286e10 3.63876e10i −0.234728 0.187189i
\(665\) 4.87754e9 3.88971e9i 0.0249410 0.0198898i
\(666\) −9.12456e10 4.39415e10i −0.463783 0.223346i
\(667\) −1.35646e11 + 2.81672e11i −0.685337 + 1.42312i
\(668\) 3.59190e10 + 4.50411e10i 0.180393 + 0.226205i
\(669\) −2.52132e11 + 3.16164e11i −1.25870 + 1.57837i
\(670\) −1.06462e11 5.12693e10i −0.528318 0.254424i
\(671\) −4.96648e9 + 1.13357e9i −0.0244996 + 0.00559186i
\(672\) −1.84829e10 + 4.21860e9i −0.0906344 + 0.0206867i
\(673\) −1.90773e11 1.52136e11i −0.929942 0.741604i 0.0362730 0.999342i \(-0.488451\pi\)
−0.966215 + 0.257738i \(0.917023\pi\)
\(674\) 3.08424e10 + 6.40449e10i 0.149454 + 0.310345i
\(675\) −8.10549e10 1.85002e10i −0.390449 0.0891174i
\(676\) −4.78212e10 + 2.30295e10i −0.228999 + 0.110280i
\(677\) −1.01987e11 + 8.13319e10i −0.485501 + 0.387174i −0.835425 0.549604i \(-0.814779\pi\)
0.349925 + 0.936778i \(0.386207\pi\)
\(678\) −6.38709e10 + 1.45781e10i −0.302263 + 0.0689895i
\(679\) −2.73604e10 + 2.18192e10i −0.128719 + 0.102650i
\(680\) 1.23635e10 5.41679e10i 0.0578236 0.253342i
\(681\) −2.21224e11 −1.02859
\(682\) 2.03922e10i 0.0942596i
\(683\) 5.39067e10 2.36181e11i 0.247719 1.08533i −0.686078 0.727528i \(-0.740669\pi\)
0.933798 0.357802i \(-0.116474\pi\)
\(684\) −5.27126e9 4.20369e9i −0.0240818 0.0192046i
\(685\) 1.71275e11 + 8.24817e10i 0.777914 + 0.374624i
\(686\) 6.03696e10 2.90724e10i 0.272597 0.131276i
\(687\) 1.85465e11i 0.832597i
\(688\) −2.55735e11 + 8.21290e10i −1.14139 + 0.366558i
\(689\) 8.40622e9 0.0373013
\(690\) 1.83591e11 + 3.81230e11i 0.809944 + 1.68187i
\(691\) 1.40005e11 2.90723e11i 0.614088 1.27517i −0.329534 0.944144i \(-0.606892\pi\)
0.943622 0.331024i \(-0.107394\pi\)
\(692\) −4.84546e10 + 6.07602e10i −0.211305 + 0.264969i
\(693\) −5.51821e9 1.25950e9i −0.0239257 0.00546090i
\(694\) 4.57684e11 1.97300
\(695\) 3.83332e11i 1.64299i
\(696\) 4.11426e11 + 9.39053e10i 1.75329 + 0.400178i
\(697\) −4.87376e10 6.11150e10i −0.206506 0.258951i
\(698\) 8.27622e10 + 3.62605e11i 0.348667 + 1.52761i
\(699\) 2.30263e11 + 2.88740e11i 0.964529 + 1.20948i
\(700\) −3.52972e9 7.32955e9i −0.0147011 0.0305271i
\(701\) 5.47246e10 2.39764e11i 0.226626 0.992915i −0.725742 0.687966i \(-0.758504\pi\)
0.952369 0.304948i \(-0.0986393\pi\)
\(702\) −2.89071e10 + 1.39209e10i −0.119030 + 0.0573218i
\(703\) 1.79254e10 2.24778e10i 0.0733919 0.0920305i
\(704\) −8.96359e9 3.92720e10i −0.0364915 0.159879i
\(705\) −1.16091e11 5.08628e11i −0.469940 2.05894i
\(706\) 1.24288e11 2.58086e11i 0.500275 1.03883i
\(707\) 4.73839e10 + 3.77874e10i 0.189650 + 0.151241i
\(708\) −4.20165e10 + 3.35070e10i −0.167220 + 0.133353i
\(709\) 1.52979e11 + 7.36710e10i 0.605408 + 0.291549i 0.711366 0.702822i \(-0.248077\pi\)
−0.105958 + 0.994371i \(0.533791\pi\)
\(710\) −1.95163e10 + 4.05259e10i −0.0768004 + 0.159478i
\(711\) 1.42700e11 + 1.78940e11i 0.558401 + 0.700212i
\(712\) −1.23544e11 + 1.54919e11i −0.480730 + 0.602817i
\(713\) −6.56594e10 3.16199e10i −0.254061 0.122350i
\(714\) −1.14198e10 + 2.60650e9i −0.0439406 + 0.0100291i
\(715\) 2.59063e10 5.91294e9i 0.0991245 0.0226245i
\(716\) 3.05104e10 + 2.43313e10i 0.116090 + 0.0925790i
\(717\) 2.78443e11 + 5.78193e11i 1.05356 + 2.18774i
\(718\) 2.93564e11 + 6.70040e10i 1.10460 + 0.252117i
\(719\) 1.19535e11 5.75652e10i 0.447281 0.215399i −0.196664 0.980471i \(-0.563011\pi\)
0.643945 + 0.765072i \(0.277296\pi\)
\(720\) 2.30148e11 1.83537e11i 0.856400 0.682956i
\(721\) −3.15755e10 + 7.20690e9i −0.116845 + 0.0266690i
\(722\) −2.32812e11 + 1.85661e11i −0.856755 + 0.683239i
\(723\) −7.52374e9 + 3.29636e10i −0.0275347 + 0.120637i
\(724\) −1.12778e11 −0.410459
\(725\) 4.30433e11i 1.55795i
\(726\) 8.31124e10 3.64139e11i 0.299171 1.31075i
\(727\) 2.96828e11 + 2.36712e11i 1.06259 + 0.847390i 0.988705 0.149877i \(-0.0478877\pi\)
0.0738885 + 0.997267i \(0.476459\pi\)
\(728\) 7.50417e9 + 3.61382e9i 0.0267164 + 0.0128659i
\(729\) −6.21859e10 + 2.99472e10i −0.220182 + 0.106034i
\(730\) 1.32562e10i 0.0466797i
\(731\) −6.22848e10 + 2.00027e10i −0.218128 + 0.0700518i
\(732\) −9.26291e9 −0.0322629
\(733\) 4.61105e10 + 9.57495e10i 0.159729 + 0.331681i 0.965439 0.260630i \(-0.0839302\pi\)
−0.805710 + 0.592311i \(0.798216\pi\)
\(734\) 2.64424e11 5.49082e11i 0.910996 1.89170i
\(735\) −3.18513e11 + 3.99403e11i −1.09138 + 1.36855i
\(736\) 1.41530e11 + 3.23034e10i 0.482324 + 0.110087i
\(737\) −3.04341e10 −0.103155
\(738\) 3.19580e11i 1.07734i
\(739\) 3.78138e11 + 8.63076e10i 1.26786 + 0.289382i 0.802989 0.595994i \(-0.203242\pi\)
0.464876 + 0.885376i \(0.346099\pi\)
\(740\) −4.89228e10 6.13473e10i −0.163149 0.204583i
\(741\) 3.93942e9 + 1.72597e10i 0.0130665 + 0.0572481i
\(742\) −4.02473e9 5.04685e9i −0.0132777 0.0166497i
\(743\) −1.99120e11 4.13477e11i −0.653371 1.35674i −0.919610 0.392832i \(-0.871495\pi\)
0.266239 0.963907i \(-0.414219\pi\)
\(744\) −2.18899e10 + 9.59058e10i −0.0714416 + 0.313006i
\(745\) −4.45222e11 + 2.14408e11i −1.44528 + 0.696009i
\(746\) 3.69745e11 4.63646e11i 1.19384 1.49703i
\(747\) −1.67576e10 7.34197e10i −0.0538181 0.235793i
\(748\) 1.20027e9 + 5.25873e9i 0.00383419 + 0.0167987i
\(749\) −9.01294e8 + 1.87156e9i −0.00286378 + 0.00594669i
\(750\) −4.23440e10 3.37683e10i −0.133828 0.106724i
\(751\) 1.69485e11 1.35160e11i 0.532810 0.424902i −0.319772 0.947494i \(-0.603606\pi\)
0.852583 + 0.522592i \(0.175035\pi\)
\(752\) −4.09103e11 1.97014e11i −1.27927 0.616063i
\(753\) −1.54993e10 + 3.21847e10i −0.0482096 + 0.100108i
\(754\) 1.03567e11 + 1.29869e11i 0.320433 + 0.401811i