Properties

Label 8.10.b.a.5.7
Level 8
Weight 10
Character 8.5
Analytic conductor 4.120
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 8 = 2^{3} \)
Weight: \( k \) = \( 10 \)
Character orbit: \([\chi]\) = 8.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.12028668931\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{28}\cdot 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 5.7
Root \(-10.4846 + 6.16784i\)
Character \(\chi\) = 8.5
Dual form 8.10.b.a.5.8

$q$-expansion

\(f(q)\) \(=\) \(q+(18.9692 - 12.3357i) q^{2} -67.6316i q^{3} +(207.662 - 467.996i) q^{4} -506.862i q^{5} +(-834.282 - 1282.92i) q^{6} +300.249 q^{7} +(-1833.85 - 11439.2i) q^{8} +15109.0 q^{9} +O(q^{10})\) \(q+(18.9692 - 12.3357i) q^{2} -67.6316i q^{3} +(207.662 - 467.996i) q^{4} -506.862i q^{5} +(-834.282 - 1282.92i) q^{6} +300.249 q^{7} +(-1833.85 - 11439.2i) q^{8} +15109.0 q^{9} +(-6252.48 - 9614.77i) q^{10} +55228.5i q^{11} +(-31651.3 - 14044.6i) q^{12} +160140. i q^{13} +(5695.48 - 3703.77i) q^{14} -34279.9 q^{15} +(-175897. - 194370. i) q^{16} +305284. q^{17} +(286605. - 186379. i) q^{18} -634238. i q^{19} +(-237209. - 105256. i) q^{20} -20306.3i q^{21} +(681281. + 1.04764e6i) q^{22} -2.25093e6 q^{23} +(-773650. + 124026. i) q^{24} +1.69622e6 q^{25} +(1.97543e6 + 3.03773e6i) q^{26} -2.35304e6i q^{27} +(62350.4 - 140515. i) q^{28} +1.62728e6i q^{29} +(-650263. + 422865. i) q^{30} -2.76752e6 q^{31} +(-5.73431e6 - 1.51725e6i) q^{32} +3.73520e6 q^{33} +(5.79099e6 - 3.76588e6i) q^{34} -152185. i q^{35} +(3.13756e6 - 7.07093e6i) q^{36} +6.07614e6i q^{37} +(-7.82375e6 - 1.20310e7i) q^{38} +1.08305e7 q^{39} +(-5.79808e6 + 929508. i) q^{40} -6.28260e6 q^{41} +(-250492. - 385195. i) q^{42} +2.76782e7i q^{43} +(2.58467e7 + 1.14689e7i) q^{44} -7.65816e6i q^{45} +(-4.26984e7 + 2.77667e7i) q^{46} +1.38355e7 q^{47} +(-1.31456e7 + 1.18962e7i) q^{48} -4.02635e7 q^{49} +(3.21759e7 - 2.09240e7i) q^{50} -2.06468e7i q^{51} +(7.49448e7 + 3.32550e7i) q^{52} -1.04915e8i q^{53} +(-2.90263e7 - 4.46353e7i) q^{54} +2.79932e7 q^{55} +(-550611. - 3.43460e6i) q^{56} -4.28946e7 q^{57} +(2.00735e7 + 3.08682e7i) q^{58} -3.86522e7i q^{59} +(-7.11865e6 + 1.60429e7i) q^{60} +1.10399e8i q^{61} +(-5.24977e7 + 3.41392e7i) q^{62} +4.53644e6 q^{63} +(-1.27492e8 + 4.19555e7i) q^{64} +8.11687e7 q^{65} +(7.08538e7 - 4.60762e7i) q^{66} +1.57010e8i q^{67} +(6.33960e7 - 1.42872e8i) q^{68} +1.52234e8i q^{69} +(-1.87730e6 - 2.88682e6i) q^{70} -1.55007e8 q^{71} +(-2.77076e7 - 1.72834e8i) q^{72} +2.67232e8 q^{73} +(7.49533e7 + 1.15260e8i) q^{74} -1.14718e8i q^{75} +(-2.96821e8 - 1.31707e8i) q^{76} +1.65823e7i q^{77} +(2.05446e8 - 1.33602e8i) q^{78} -2.31067e8 q^{79} +(-9.85190e7 + 8.91553e7i) q^{80} +1.38250e8 q^{81} +(-1.19176e8 + 7.75001e7i) q^{82} -5.10130e8i q^{83} +(-9.50327e6 - 4.21686e6i) q^{84} -1.54737e8i q^{85} +(3.41430e8 + 5.25035e8i) q^{86} +1.10055e8 q^{87} +(6.31769e8 - 1.01281e8i) q^{88} -3.91714e8 q^{89} +(-9.44685e7 - 1.45269e8i) q^{90} +4.80817e7i q^{91} +(-4.67434e8 + 1.05343e9i) q^{92} +1.87172e8i q^{93} +(2.62448e8 - 1.70670e8i) q^{94} -3.21471e8 q^{95} +(-1.02614e8 + 3.87821e8i) q^{96} -4.08584e8 q^{97} +(-7.63766e8 + 4.96677e8i) q^{98} +8.34446e8i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 18q^{2} - 428q^{4} + 4684q^{6} + 4800q^{7} - 3384q^{8} - 39368q^{9} + O(q^{10}) \) \( 8q - 18q^{2} - 428q^{4} + 4684q^{6} + 4800q^{7} - 3384q^{8} - 39368q^{9} + 26392q^{10} + 54760q^{12} - 72336q^{14} - 163136q^{15} + 185616q^{16} - 102000q^{17} - 23614q^{18} + 1245264q^{20} - 2373124q^{22} + 3412032q^{23} - 3961456q^{24} - 2423384q^{25} + 4551240q^{26} + 7509920q^{28} - 15284368q^{30} + 803584q^{31} - 14113248q^{32} + 58272q^{33} + 27757244q^{34} + 57226188q^{36} - 63661140q^{38} - 17590208q^{39} - 93063648q^{40} - 2180784q^{41} + 127541344q^{42} + 114013320q^{44} - 131840944q^{46} + 7432320q^{47} - 217917408q^{48} + 24436680q^{49} + 231784902q^{50} + 219270896q^{52} - 362934280q^{54} + 7056832q^{55} - 358503360q^{56} + 134003744q^{57} + 375425192q^{58} + 516952992q^{60} - 344291904q^{62} - 223198400q^{63} - 316815296q^{64} - 146501760q^{65} + 239713176q^{66} + 79875048q^{68} - 56202048q^{70} + 560234688q^{71} + 112273016q^{72} - 523987120q^{73} - 65773608q^{74} - 87532760q^{76} + 318117968q^{78} - 248943744q^{79} + 890441280q^{80} + 231960296q^{81} - 1051981172q^{82} - 1275608768q^{84} + 1492810428q^{86} + 540527424q^{87} + 1544767952q^{88} + 744827856q^{89} - 3218579800q^{90} - 2959012128q^{92} + 3068552352q^{94} - 1465245504q^{95} + 4296343616q^{96} - 9932784q^{97} - 3062604162q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 18.9692 12.3357i 0.838329 0.545165i
\(3\) 67.6316i 0.482063i −0.970517 0.241032i \(-0.922514\pi\)
0.970517 0.241032i \(-0.0774858\pi\)
\(4\) 207.662 467.996i 0.405591 0.914055i
\(5\) 506.862i 0.362681i −0.983420 0.181340i \(-0.941956\pi\)
0.983420 0.181340i \(-0.0580436\pi\)
\(6\) −834.282 1282.92i −0.262804 0.404128i
\(7\) 300.249 0.0472650 0.0236325 0.999721i \(-0.492477\pi\)
0.0236325 + 0.999721i \(0.492477\pi\)
\(8\) −1833.85 11439.2i −0.158292 0.987392i
\(9\) 15109.0 0.767615
\(10\) −6252.48 9614.77i −0.197721 0.304046i
\(11\) 55228.5i 1.13736i 0.822560 + 0.568678i \(0.192545\pi\)
−0.822560 + 0.568678i \(0.807455\pi\)
\(12\) −31651.3 14044.6i −0.440632 0.195521i
\(13\) 160140.i 1.55508i 0.628831 + 0.777542i \(0.283534\pi\)
−0.628831 + 0.777542i \(0.716466\pi\)
\(14\) 5695.48 3703.77i 0.0396236 0.0257672i
\(15\) −34279.9 −0.174835
\(16\) −175897. 194370.i −0.670992 0.741464i
\(17\) 305284. 0.886510 0.443255 0.896396i \(-0.353824\pi\)
0.443255 + 0.896396i \(0.353824\pi\)
\(18\) 286605. 186379.i 0.643514 0.418477i
\(19\) 634238.i 1.11651i −0.829671 0.558253i \(-0.811472\pi\)
0.829671 0.558253i \(-0.188528\pi\)
\(20\) −237209. 105256.i −0.331510 0.147100i
\(21\) 20306.3i 0.0227847i
\(22\) 681281. + 1.04764e6i 0.620046 + 0.953479i
\(23\) −2.25093e6 −1.67721 −0.838604 0.544741i \(-0.816628\pi\)
−0.838604 + 0.544741i \(0.816628\pi\)
\(24\) −773650. + 124026.i −0.475986 + 0.0763068i
\(25\) 1.69622e6 0.868463
\(26\) 1.97543e6 + 3.03773e6i 0.847777 + 1.30367i
\(27\) 2.35304e6i 0.852103i
\(28\) 62350.4 140515.i 0.0191703 0.0432028i
\(29\) 1.62728e6i 0.427238i 0.976917 + 0.213619i \(0.0685252\pi\)
−0.976917 + 0.213619i \(0.931475\pi\)
\(30\) −650263. + 422865.i −0.146569 + 0.0953140i
\(31\) −2.76752e6 −0.538224 −0.269112 0.963109i \(-0.586730\pi\)
−0.269112 + 0.963109i \(0.586730\pi\)
\(32\) −5.73431e6 1.51725e6i −0.966732 0.255790i
\(33\) 3.73520e6 0.548278
\(34\) 5.79099e6 3.76588e6i 0.743187 0.483294i
\(35\) 152185.i 0.0171421i
\(36\) 3.13756e6 7.07093e6i 0.311337 0.701642i
\(37\) 6.07614e6i 0.532991i 0.963836 + 0.266496i \(0.0858658\pi\)
−0.963836 + 0.266496i \(0.914134\pi\)
\(38\) −7.82375e6 1.20310e7i −0.608680 0.935999i
\(39\) 1.08305e7 0.749649
\(40\) −5.79808e6 + 929508.i −0.358108 + 0.0574094i
\(41\) −6.28260e6 −0.347226 −0.173613 0.984814i \(-0.555544\pi\)
−0.173613 + 0.984814i \(0.555544\pi\)
\(42\) −250492. 385195.i −0.0124214 0.0191011i
\(43\) 2.76782e7i 1.23461i 0.786723 + 0.617306i \(0.211776\pi\)
−0.786723 + 0.617306i \(0.788224\pi\)
\(44\) 2.58467e7 + 1.14689e7i 1.03961 + 0.461301i
\(45\) 7.65816e6i 0.278399i
\(46\) −4.26984e7 + 2.77667e7i −1.40605 + 0.914355i
\(47\) 1.38355e7 0.413574 0.206787 0.978386i \(-0.433699\pi\)
0.206787 + 0.978386i \(0.433699\pi\)
\(48\) −1.31456e7 + 1.18962e7i −0.357433 + 0.323461i
\(49\) −4.02635e7 −0.997766
\(50\) 3.21759e7 2.09240e7i 0.728057 0.473455i
\(51\) 2.06468e7i 0.427354i
\(52\) 7.49448e7 + 3.32550e7i 1.42143 + 0.630728i
\(53\) 1.04915e8i 1.82641i −0.407503 0.913204i \(-0.633600\pi\)
0.407503 0.913204i \(-0.366400\pi\)
\(54\) −2.90263e7 4.46353e7i −0.464536 0.714342i
\(55\) 2.79932e7 0.412497
\(56\) −550611. 3.43460e6i −0.00748167 0.0466691i
\(57\) −4.28946e7 −0.538227
\(58\) 2.00735e7 + 3.08682e7i 0.232915 + 0.358166i
\(59\) 3.86522e7i 0.415279i −0.978205 0.207640i \(-0.933422\pi\)
0.978205 0.207640i \(-0.0665782\pi\)
\(60\) −7.11865e6 + 1.60429e7i −0.0709115 + 0.159809i
\(61\) 1.10399e8i 1.02089i 0.859909 + 0.510447i \(0.170520\pi\)
−0.859909 + 0.510447i \(0.829480\pi\)
\(62\) −5.24977e7 + 3.41392e7i −0.451209 + 0.293421i
\(63\) 4.53644e6 0.0362813
\(64\) −1.27492e8 + 4.19555e7i −0.949887 + 0.312593i
\(65\) 8.11687e7 0.563999
\(66\) 7.08538e7 4.60762e7i 0.459637 0.298902i
\(67\) 1.57010e8i 0.951901i 0.879472 + 0.475950i \(0.157896\pi\)
−0.879472 + 0.475950i \(0.842104\pi\)
\(68\) 6.33960e7 1.42872e8i 0.359560 0.810318i
\(69\) 1.52234e8i 0.808521i
\(70\) −1.87730e6 2.88682e6i −0.00934528 0.0143707i
\(71\) −1.55007e8 −0.723919 −0.361960 0.932194i \(-0.617892\pi\)
−0.361960 + 0.932194i \(0.617892\pi\)
\(72\) −2.77076e7 1.72834e8i −0.121507 0.757937i
\(73\) 2.67232e8 1.10138 0.550689 0.834711i \(-0.314365\pi\)
0.550689 + 0.834711i \(0.314365\pi\)
\(74\) 7.49533e7 + 1.15260e8i 0.290568 + 0.446822i
\(75\) 1.14718e8i 0.418654i
\(76\) −2.96821e8 1.31707e8i −1.02055 0.452845i
\(77\) 1.65823e7i 0.0537572i
\(78\) 2.05446e8 1.33602e8i 0.628453 0.408682i
\(79\) −2.31067e8 −0.667447 −0.333723 0.942671i \(-0.608305\pi\)
−0.333723 + 0.942671i \(0.608305\pi\)
\(80\) −9.85190e7 + 8.91553e7i −0.268915 + 0.243356i
\(81\) 1.38250e8 0.356847
\(82\) −1.19176e8 + 7.75001e7i −0.291090 + 0.189295i
\(83\) 5.10130e8i 1.17986i −0.807455 0.589929i \(-0.799156\pi\)
0.807455 0.589929i \(-0.200844\pi\)
\(84\) −9.50327e6 4.21686e6i −0.0208265 0.00924128i
\(85\) 1.54737e8i 0.321520i
\(86\) 3.41430e8 + 5.25035e8i 0.673067 + 1.03501i
\(87\) 1.10055e8 0.205956
\(88\) 6.31769e8 1.01281e8i 1.12302 0.180034i
\(89\) −3.91714e8 −0.661781 −0.330891 0.943669i \(-0.607349\pi\)
−0.330891 + 0.943669i \(0.607349\pi\)
\(90\) −9.44685e7 1.45269e8i −0.151773 0.233390i
\(91\) 4.80817e7i 0.0735011i
\(92\) −4.67434e8 + 1.05343e9i −0.680260 + 1.53306i
\(93\) 1.87172e8i 0.259458i
\(94\) 2.62448e8 1.70670e8i 0.346711 0.225466i
\(95\) −3.21471e8 −0.404935
\(96\) −1.02614e8 + 3.87821e8i −0.123307 + 0.466026i
\(97\) −4.08584e8 −0.468607 −0.234303 0.972164i \(-0.575281\pi\)
−0.234303 + 0.972164i \(0.575281\pi\)
\(98\) −7.63766e8 + 4.96677e8i −0.836456 + 0.543947i
\(99\) 8.34446e8i 0.873051i
\(100\) 3.52240e8 7.93822e8i 0.352240 0.793822i
\(101\) 9.53192e8i 0.911452i −0.890120 0.455726i \(-0.849380\pi\)
0.890120 0.455726i \(-0.150620\pi\)
\(102\) −2.54693e8 3.91654e8i −0.232978 0.358263i
\(103\) 1.76824e9 1.54801 0.774005 0.633180i \(-0.218251\pi\)
0.774005 + 0.633180i \(0.218251\pi\)
\(104\) 1.83187e9 2.93672e8i 1.53548 0.246157i
\(105\) −1.02925e7 −0.00826359
\(106\) −1.29420e9 1.99016e9i −0.995693 1.53113i
\(107\) 4.21493e8i 0.310859i 0.987847 + 0.155430i \(0.0496762\pi\)
−0.987847 + 0.155430i \(0.950324\pi\)
\(108\) −1.10121e9 4.88638e8i −0.778868 0.345605i
\(109\) 3.63239e8i 0.246475i −0.992377 0.123238i \(-0.960672\pi\)
0.992377 0.123238i \(-0.0393278\pi\)
\(110\) 5.31010e8 3.45315e8i 0.345808 0.224879i
\(111\) 4.10939e8 0.256936
\(112\) −5.28127e7 5.83594e7i −0.0317145 0.0350453i
\(113\) −6.97516e8 −0.402440 −0.201220 0.979546i \(-0.564491\pi\)
−0.201220 + 0.979546i \(0.564491\pi\)
\(114\) −8.13676e8 + 5.29133e8i −0.451211 + 0.293422i
\(115\) 1.14091e9i 0.608291i
\(116\) 7.61559e8 + 3.37924e8i 0.390519 + 0.173284i
\(117\) 2.41954e9i 1.19371i
\(118\) −4.76801e8 7.33202e8i −0.226396 0.348141i
\(119\) 9.16610e7 0.0419009
\(120\) 6.28642e7 + 3.92134e8i 0.0276750 + 0.172631i
\(121\) −6.92244e8 −0.293579
\(122\) 1.36184e9 + 2.09418e9i 0.556555 + 0.855845i
\(123\) 4.24903e8i 0.167385i
\(124\) −5.74710e8 + 1.29519e9i −0.218299 + 0.491967i
\(125\) 1.84971e9i 0.677656i
\(126\) 8.60528e7 5.59601e7i 0.0304157 0.0197793i
\(127\) −1.71741e9 −0.585809 −0.292905 0.956142i \(-0.594622\pi\)
−0.292905 + 0.956142i \(0.594622\pi\)
\(128\) −1.90087e9 + 2.36856e9i −0.625904 + 0.779900i
\(129\) 1.87193e9 0.595161
\(130\) 1.53971e9 1.00127e9i 0.472817 0.307473i
\(131\) 6.19742e9i 1.83861i −0.393544 0.919306i \(-0.628751\pi\)
0.393544 0.919306i \(-0.371249\pi\)
\(132\) 7.75660e8 1.74806e9i 0.222376 0.501156i
\(133\) 1.90429e8i 0.0527717i
\(134\) 1.93683e9 + 2.97836e9i 0.518943 + 0.798006i
\(135\) −1.19266e9 −0.309041
\(136\) −5.59844e8 3.49219e9i −0.140327 0.875333i
\(137\) 2.20927e9 0.535805 0.267903 0.963446i \(-0.413669\pi\)
0.267903 + 0.963446i \(0.413669\pi\)
\(138\) 1.87791e9 + 2.88776e9i 0.440777 + 0.677807i
\(139\) 1.31612e9i 0.299039i −0.988759 0.149520i \(-0.952227\pi\)
0.988759 0.149520i \(-0.0477727\pi\)
\(140\) −7.12218e7 3.16030e7i −0.0156688 0.00695268i
\(141\) 9.35715e8i 0.199369i
\(142\) −2.94037e9 + 1.91212e9i −0.606882 + 0.394655i
\(143\) −8.84428e9 −1.76868
\(144\) −2.65761e9 2.93674e9i −0.515064 0.569159i
\(145\) 8.24804e8 0.154951
\(146\) 5.06919e9 3.29649e9i 0.923317 0.600432i
\(147\) 2.72308e9i 0.480987i
\(148\) 2.84361e9 + 1.26179e9i 0.487183 + 0.216176i
\(149\) 4.24563e9i 0.705673i 0.935685 + 0.352837i \(0.114783\pi\)
−0.935685 + 0.352837i \(0.885217\pi\)
\(150\) −1.41512e9 2.17611e9i −0.228235 0.350970i
\(151\) 1.04571e10 1.63687 0.818434 0.574600i \(-0.194843\pi\)
0.818434 + 0.574600i \(0.194843\pi\)
\(152\) −7.25516e9 + 1.16310e9i −1.10243 + 0.176734i
\(153\) 4.61252e9 0.680498
\(154\) 2.04554e8 + 3.14553e8i 0.0293065 + 0.0450662i
\(155\) 1.40275e9i 0.195204i
\(156\) 2.24909e9 5.06864e9i 0.304051 0.685221i
\(157\) 7.15069e9i 0.939290i 0.882855 + 0.469645i \(0.155618\pi\)
−0.882855 + 0.469645i \(0.844382\pi\)
\(158\) −4.38317e9 + 2.85037e9i −0.559540 + 0.363869i
\(159\) −7.09560e9 −0.880445
\(160\) −7.69038e8 + 2.90650e9i −0.0927700 + 0.350615i
\(161\) −6.75839e8 −0.0792733
\(162\) 2.62249e9 1.70541e9i 0.299155 0.194541i
\(163\) 1.05206e10i 1.16734i 0.811990 + 0.583671i \(0.198384\pi\)
−0.811990 + 0.583671i \(0.801616\pi\)
\(164\) −1.30466e9 + 2.94023e9i −0.140832 + 0.317384i
\(165\) 1.89323e9i 0.198850i
\(166\) −6.29279e9 9.67677e9i −0.643216 0.989108i
\(167\) 1.39991e10 1.39276 0.696382 0.717671i \(-0.254792\pi\)
0.696382 + 0.717671i \(0.254792\pi\)
\(168\) −2.32287e8 + 3.72387e7i −0.0224975 + 0.00360664i
\(169\) −1.50402e10 −1.41829
\(170\) −1.90878e9 2.93523e9i −0.175281 0.269540i
\(171\) 9.58268e9i 0.857047i
\(172\) 1.29533e10 + 5.74773e9i 1.12850 + 0.500747i
\(173\) 8.80028e9i 0.746946i −0.927641 0.373473i \(-0.878167\pi\)
0.927641 0.373473i \(-0.121833\pi\)
\(174\) 2.08766e9 1.35761e9i 0.172659 0.112280i
\(175\) 5.09286e8 0.0410479
\(176\) 1.07348e10 9.71451e9i 0.843309 0.763157i
\(177\) −2.61411e9 −0.200191
\(178\) −7.43052e9 + 4.83206e9i −0.554790 + 0.360780i
\(179\) 4.93292e9i 0.359141i −0.983745 0.179571i \(-0.942529\pi\)
0.983745 0.179571i \(-0.0574708\pi\)
\(180\) −3.58399e9 1.59031e9i −0.254472 0.112916i
\(181\) 2.32627e10i 1.61104i −0.592569 0.805520i \(-0.701886\pi\)
0.592569 0.805520i \(-0.298114\pi\)
\(182\) 5.93120e8 + 9.12073e8i 0.0400702 + 0.0616181i
\(183\) 7.46646e9 0.492136
\(184\) 4.12787e9 + 2.57488e10i 0.265489 + 1.65606i
\(185\) 3.07976e9 0.193306
\(186\) 2.30889e9 + 3.55051e9i 0.141448 + 0.217511i
\(187\) 1.68604e10i 1.00828i
\(188\) 2.87311e9 6.47494e9i 0.167742 0.378029i
\(189\) 7.06496e8i 0.0402746i
\(190\) −6.09806e9 + 3.96556e9i −0.339469 + 0.220756i
\(191\) −2.01231e10 −1.09407 −0.547034 0.837111i \(-0.684243\pi\)
−0.547034 + 0.837111i \(0.684243\pi\)
\(192\) 2.83752e9 + 8.62247e9i 0.150689 + 0.457906i
\(193\) −1.91524e10 −0.993606 −0.496803 0.867863i \(-0.665493\pi\)
−0.496803 + 0.867863i \(0.665493\pi\)
\(194\) −7.75052e9 + 5.04016e9i −0.392847 + 0.255468i
\(195\) 5.48957e9i 0.271883i
\(196\) −8.36121e9 + 1.88431e10i −0.404685 + 0.912013i
\(197\) 2.35449e10i 1.11378i 0.830586 + 0.556890i \(0.188005\pi\)
−0.830586 + 0.556890i \(0.811995\pi\)
\(198\) 1.02934e10 + 1.58288e10i 0.475957 + 0.731904i
\(199\) 2.87445e10 1.29932 0.649661 0.760224i \(-0.274911\pi\)
0.649661 + 0.760224i \(0.274911\pi\)
\(200\) −3.11061e9 1.94033e10i −0.137471 0.857513i
\(201\) 1.06189e10 0.458877
\(202\) −1.17583e10 1.80813e10i −0.496892 0.764097i
\(203\) 4.88587e8i 0.0201934i
\(204\) −9.66264e9 4.28757e9i −0.390625 0.173331i
\(205\) 3.18441e9i 0.125932i
\(206\) 3.35421e10 2.18124e10i 1.29774 0.843920i
\(207\) −3.40092e10 −1.28745
\(208\) 3.11264e10 2.81680e10i 1.15304 1.04345i
\(209\) 3.50280e10 1.26987
\(210\) −1.95240e8 + 1.26965e8i −0.00692760 + 0.00450502i
\(211\) 1.31866e10i 0.457996i −0.973427 0.228998i \(-0.926455\pi\)
0.973427 0.228998i \(-0.0735449\pi\)
\(212\) −4.91000e10 2.17870e10i −1.66944 0.740774i
\(213\) 1.04834e10i 0.348975i
\(214\) 5.19940e9 + 7.99540e9i 0.169469 + 0.260602i
\(215\) 1.40290e10 0.447770
\(216\) −2.69168e10 + 4.31512e9i −0.841360 + 0.134881i
\(217\) −8.30944e8 −0.0254392
\(218\) −4.48080e9 6.89036e9i −0.134370 0.206627i
\(219\) 1.80734e10i 0.530934i
\(220\) 5.81315e9 1.31007e10i 0.167305 0.377045i
\(221\) 4.88880e10i 1.37860i
\(222\) 7.79520e9 5.06921e9i 0.215397 0.140072i
\(223\) −3.08477e10 −0.835315 −0.417658 0.908604i \(-0.637149\pi\)
−0.417658 + 0.908604i \(0.637149\pi\)
\(224\) −1.72172e9 4.55553e8i −0.0456926 0.0120899i
\(225\) 2.56281e10 0.666645
\(226\) −1.32313e10 + 8.60432e9i −0.337377 + 0.219396i
\(227\) 3.48742e10i 0.871742i 0.900009 + 0.435871i \(0.143560\pi\)
−0.900009 + 0.435871i \(0.856440\pi\)
\(228\) −8.90759e9 + 2.00745e10i −0.218300 + 0.491969i
\(229\) 5.73355e10i 1.37773i −0.724890 0.688864i \(-0.758110\pi\)
0.724890 0.688864i \(-0.241890\pi\)
\(230\) 1.40739e10 + 2.16422e10i 0.331619 + 0.509948i
\(231\) 1.12149e9 0.0259144
\(232\) 1.86147e10 2.98418e9i 0.421852 0.0676284i
\(233\) 2.77681e10 0.617227 0.308613 0.951188i \(-0.400135\pi\)
0.308613 + 0.951188i \(0.400135\pi\)
\(234\) 2.98467e10 + 4.58969e10i 0.650766 + 1.00072i
\(235\) 7.01267e9i 0.149995i
\(236\) −1.80891e10 8.02662e9i −0.379588 0.168433i
\(237\) 1.56275e10i 0.321752i
\(238\) 1.73874e9 1.13070e9i 0.0351267 0.0228429i
\(239\) −7.05276e10 −1.39820 −0.699099 0.715025i \(-0.746415\pi\)
−0.699099 + 0.715025i \(0.746415\pi\)
\(240\) 6.02972e9 + 6.66300e9i 0.117313 + 0.129634i
\(241\) −6.27074e10 −1.19741 −0.598704 0.800970i \(-0.704318\pi\)
−0.598704 + 0.800970i \(0.704318\pi\)
\(242\) −1.31313e10 + 8.53929e9i −0.246116 + 0.160049i
\(243\) 5.56649e10i 1.02413i
\(244\) 5.16663e10 + 2.29257e10i 0.933153 + 0.414065i
\(245\) 2.04080e10i 0.361871i
\(246\) 5.24146e9 + 8.06007e9i 0.0912524 + 0.140324i
\(247\) 1.01567e11 1.73626
\(248\) 5.07522e9 + 3.16582e10i 0.0851966 + 0.531439i
\(249\) −3.45009e10 −0.568766
\(250\) −2.28174e10 3.50876e10i −0.369434 0.568098i
\(251\) 1.85039e10i 0.294260i 0.989117 + 0.147130i \(0.0470036\pi\)
−0.989117 + 0.147130i \(0.952996\pi\)
\(252\) 9.42049e8 2.12304e9i 0.0147154 0.0331631i
\(253\) 1.24316e11i 1.90758i
\(254\) −3.25778e10 + 2.11853e10i −0.491101 + 0.319362i
\(255\) −1.04651e10 −0.154993
\(256\) −6.84026e9 + 6.83782e10i −0.0995389 + 0.995034i
\(257\) 5.36058e9 0.0766501 0.0383250 0.999265i \(-0.487798\pi\)
0.0383250 + 0.999265i \(0.487798\pi\)
\(258\) 3.55090e10 2.30915e10i 0.498941 0.324461i
\(259\) 1.82435e9i 0.0251918i
\(260\) 1.68557e10 3.79866e10i 0.228753 0.515526i
\(261\) 2.45864e10i 0.327954i
\(262\) −7.64493e10 1.17560e11i −1.00235 1.54136i
\(263\) 5.46057e10 0.703780 0.351890 0.936041i \(-0.385539\pi\)
0.351890 + 0.936041i \(0.385539\pi\)
\(264\) −6.84979e9 4.27276e10i −0.0867880 0.541365i
\(265\) −5.31776e10 −0.662403
\(266\) −2.34907e9 3.61229e9i −0.0287693 0.0442400i
\(267\) 2.64923e10i 0.319021i
\(268\) 7.34802e10 + 3.26052e10i 0.870090 + 0.386082i
\(269\) 4.00949e9i 0.0466878i −0.999727 0.0233439i \(-0.992569\pi\)
0.999727 0.0233439i \(-0.00743127\pi\)
\(270\) −2.26239e10 + 1.47123e10i −0.259078 + 0.168478i
\(271\) 8.23746e10 0.927751 0.463875 0.885900i \(-0.346459\pi\)
0.463875 + 0.885900i \(0.346459\pi\)
\(272\) −5.36984e10 5.93381e10i −0.594841 0.657315i
\(273\) 3.25185e9 0.0354322
\(274\) 4.19082e10 2.72529e10i 0.449181 0.292102i
\(275\) 9.36795e10i 0.987751i
\(276\) 7.12450e10 + 3.16133e10i 0.739032 + 0.327929i
\(277\) 9.10228e10i 0.928948i 0.885587 + 0.464474i \(0.153756\pi\)
−0.885587 + 0.464474i \(0.846244\pi\)
\(278\) −1.62352e10 2.49657e10i −0.163026 0.250693i
\(279\) −4.18144e10 −0.413149
\(280\) −1.74087e9 + 2.79084e8i −0.0169260 + 0.00271346i
\(281\) −5.50847e8 −0.00527051 −0.00263525 0.999997i \(-0.500839\pi\)
−0.00263525 + 0.999997i \(0.500839\pi\)
\(282\) −1.15427e10 1.77498e10i −0.108689 0.167137i
\(283\) 1.29983e11i 1.20461i 0.798265 + 0.602306i \(0.205751\pi\)
−0.798265 + 0.602306i \(0.794249\pi\)
\(284\) −3.21892e10 + 7.25429e10i −0.293615 + 0.661702i
\(285\) 2.17416e10i 0.195205i
\(286\) −1.67769e11 + 1.09100e11i −1.48274 + 0.964225i
\(287\) −1.88634e9 −0.0164116
\(288\) −8.66395e10 2.29241e10i −0.742078 0.196348i
\(289\) −2.53898e10 −0.214101
\(290\) 1.56459e10 1.01745e10i 0.129900 0.0844739i
\(291\) 2.76332e10i 0.225898i
\(292\) 5.54942e10 1.25064e11i 0.446709 1.00672i
\(293\) 4.93910e10i 0.391510i −0.980653 0.195755i \(-0.937284\pi\)
0.980653 0.195755i \(-0.0627158\pi\)
\(294\) 3.35911e10 + 5.16548e10i 0.262217 + 0.403225i
\(295\) −1.95913e10 −0.150614
\(296\) 6.95060e10 1.11427e10i 0.526272 0.0843682i
\(297\) 1.29955e11 0.969144
\(298\) 5.23727e10 + 8.05362e10i 0.384708 + 0.591586i
\(299\) 3.60464e11i 2.60820i
\(300\) −5.36875e10 2.38226e10i −0.382673 0.169802i
\(301\) 8.31036e9i 0.0583540i
\(302\) 1.98362e11 1.28995e11i 1.37223 0.892363i
\(303\) −6.44659e10 −0.439378
\(304\) −1.23277e11 + 1.11560e11i −0.827850 + 0.749167i
\(305\) 5.59570e10 0.370259
\(306\) 8.74959e10 5.68985e10i 0.570481 0.370983i
\(307\) 3.94315e10i 0.253350i −0.991944 0.126675i \(-0.959570\pi\)
0.991944 0.126675i \(-0.0404305\pi\)
\(308\) 7.76045e9 + 3.44352e9i 0.0491370 + 0.0218034i
\(309\) 1.19589e11i 0.746239i
\(310\) 1.73039e10 + 2.66091e10i 0.106418 + 0.163645i
\(311\) −1.46670e11 −0.889036 −0.444518 0.895770i \(-0.646625\pi\)
−0.444518 + 0.895770i \(0.646625\pi\)
\(312\) −1.98615e10 1.23892e11i −0.118663 0.740198i
\(313\) −4.50074e10 −0.265054 −0.132527 0.991179i \(-0.542309\pi\)
−0.132527 + 0.991179i \(0.542309\pi\)
\(314\) 8.82086e10 + 1.35643e11i 0.512068 + 0.787434i
\(315\) 2.29935e9i 0.0131585i
\(316\) −4.79840e10 + 1.08139e11i −0.270710 + 0.610083i
\(317\) 1.18290e10i 0.0657932i 0.999459 + 0.0328966i \(0.0104732\pi\)
−0.999459 + 0.0328966i \(0.989527\pi\)
\(318\) −1.34598e11 + 8.75290e10i −0.738102 + 0.479987i
\(319\) −8.98721e10 −0.485922
\(320\) 2.12656e10 + 6.46207e10i 0.113371 + 0.344506i
\(321\) 2.85063e10 0.149854
\(322\) −1.28201e10 + 8.33693e9i −0.0664571 + 0.0432170i
\(323\) 1.93623e11i 0.989793i
\(324\) 2.87093e10 6.47004e10i 0.144734 0.326178i
\(325\) 2.71632e11i 1.35053i
\(326\) 1.29779e11 + 1.99568e11i 0.636394 + 0.978617i
\(327\) −2.45665e10 −0.118817
\(328\) 1.15213e10 + 7.18678e10i 0.0549631 + 0.342848i
\(329\) 4.15408e9 0.0195476
\(330\) −2.33542e10 3.59131e10i −0.108406 0.166702i
\(331\) 2.13896e11i 0.979438i 0.871880 + 0.489719i \(0.162901\pi\)
−0.871880 + 0.489719i \(0.837099\pi\)
\(332\) −2.38739e11 1.05935e11i −1.07845 0.478539i
\(333\) 9.18042e10i 0.409132i
\(334\) 2.65553e11 1.72689e11i 1.16759 0.759286i
\(335\) 7.95826e10 0.345236
\(336\) −3.94695e9 + 3.57181e9i −0.0168941 + 0.0152884i
\(337\) 1.90045e11 0.802644 0.401322 0.915937i \(-0.368551\pi\)
0.401322 + 0.915937i \(0.368551\pi\)
\(338\) −2.85301e11 + 1.85531e11i −1.18899 + 0.773200i
\(339\) 4.71741e10i 0.194002i
\(340\) −7.24161e10 3.21330e10i −0.293887 0.130406i
\(341\) 1.52846e11i 0.612153i
\(342\) −1.18209e11 1.81776e11i −0.467232 0.718487i
\(343\) −2.42052e10 −0.0944244
\(344\) 3.16616e11 5.07578e10i 1.21905 0.195429i
\(345\) 7.71617e10 0.293235
\(346\) −1.08557e11 1.66935e11i −0.407209 0.626186i
\(347\) 2.51449e11i 0.931039i 0.885038 + 0.465519i \(0.154132\pi\)
−0.885038 + 0.465519i \(0.845868\pi\)
\(348\) 2.28544e10 5.15055e10i 0.0835339 0.188255i
\(349\) 2.95592e10i 0.106654i −0.998577 0.0533271i \(-0.983017\pi\)
0.998577 0.0533271i \(-0.0169826\pi\)
\(350\) 9.66077e9 6.28239e9i 0.0344116 0.0223779i
\(351\) 3.76815e11 1.32509
\(352\) 8.37957e10 3.16698e11i 0.290924 1.09952i
\(353\) −3.46408e11 −1.18741 −0.593706 0.804682i \(-0.702336\pi\)
−0.593706 + 0.804682i \(0.702336\pi\)
\(354\) −4.95877e10 + 3.22468e10i −0.167826 + 0.109137i
\(355\) 7.85674e10i 0.262552i
\(356\) −8.13444e10 + 1.83321e11i −0.268412 + 0.604904i
\(357\) 6.19918e9i 0.0201989i
\(358\) −6.08509e10 9.35736e10i −0.195791 0.301079i
\(359\) −2.46772e11 −0.784100 −0.392050 0.919944i \(-0.628234\pi\)
−0.392050 + 0.919944i \(0.628234\pi\)
\(360\) −8.76030e10 + 1.40439e10i −0.274889 + 0.0440683i
\(361\) −7.95703e10 −0.246586
\(362\) −2.86961e11 4.41275e11i −0.878282 1.35058i
\(363\) 4.68176e10i 0.141524i
\(364\) 2.25021e10 + 9.98477e9i 0.0671840 + 0.0298114i
\(365\) 1.35450e11i 0.399449i
\(366\) 1.41633e11 9.21038e10i 0.412572 0.268295i
\(367\) 4.79554e11 1.37988 0.689938 0.723868i \(-0.257638\pi\)
0.689938 + 0.723868i \(0.257638\pi\)
\(368\) 3.95931e11 + 4.37515e11i 1.12539 + 1.24359i
\(369\) −9.49236e10 −0.266536
\(370\) 5.84207e10 3.79910e10i 0.162054 0.105383i
\(371\) 3.15007e10i 0.0863252i
\(372\) 8.75958e10 + 3.88686e10i 0.237159 + 0.105234i
\(373\) 1.74705e11i 0.467320i −0.972318 0.233660i \(-0.924930\pi\)
0.972318 0.233660i \(-0.0750703\pi\)
\(374\) 2.07984e11 + 3.19828e11i 0.549677 + 0.845268i
\(375\) −1.25099e11 −0.326673
\(376\) −2.53722e10 1.58266e11i −0.0654654 0.408360i
\(377\) −2.60592e11 −0.664392
\(378\) −8.71510e9 1.34017e10i −0.0219563 0.0337634i
\(379\) 4.64716e11i 1.15694i −0.815704 0.578470i \(-0.803650\pi\)
0.815704 0.578470i \(-0.196350\pi\)
\(380\) −6.67575e10 + 1.50447e11i −0.164238 + 0.370133i
\(381\) 1.16151e11i 0.282397i
\(382\) −3.81719e11 + 2.48232e11i −0.917189 + 0.596447i
\(383\) 5.58072e11 1.32524 0.662622 0.748954i \(-0.269444\pi\)
0.662622 + 0.748954i \(0.269444\pi\)
\(384\) 1.60189e11 + 1.28559e11i 0.375962 + 0.301725i
\(385\) 8.40493e9 0.0194967
\(386\) −3.63305e11 + 2.36257e11i −0.832969 + 0.541679i
\(387\) 4.18190e11i 0.947707i
\(388\) −8.48476e10 + 1.91216e11i −0.190063 + 0.428332i
\(389\) 3.37004e11i 0.746211i −0.927789 0.373105i \(-0.878293\pi\)
0.927789 0.373105i \(-0.121707\pi\)
\(390\) −6.77176e10 1.04133e11i −0.148221 0.227928i
\(391\) −6.87173e11 −1.48686
\(392\) 7.38371e10 + 4.60581e11i 0.157938 + 0.985187i
\(393\) −4.19142e11 −0.886328
\(394\) 2.90442e11 + 4.46629e11i 0.607193 + 0.933714i
\(395\) 1.17119e11i 0.242070i
\(396\) 3.90517e11 + 1.73283e11i 0.798017 + 0.354102i
\(397\) 1.52291e11i 0.307693i 0.988095 + 0.153846i \(0.0491661\pi\)
−0.988095 + 0.153846i \(0.950834\pi\)
\(398\) 5.45261e11 3.54583e11i 1.08926 0.708344i
\(399\) −1.28790e10 −0.0254393
\(400\) −2.98359e11 3.29694e11i −0.582732 0.643934i
\(401\) 2.43333e11 0.469949 0.234975 0.972001i \(-0.424499\pi\)
0.234975 + 0.972001i \(0.424499\pi\)
\(402\) 2.01432e11 1.30991e11i 0.384690 0.250163i
\(403\) 4.43190e11i 0.836984i
\(404\) −4.46090e11 1.97942e11i −0.833117 0.369677i
\(405\) 7.00736e10i 0.129422i
\(406\) 6.02705e9 + 9.26812e9i 0.0110087 + 0.0169287i
\(407\) −3.35576e11 −0.606201
\(408\) −2.36183e11 + 3.78632e10i −0.421966 + 0.0676467i
\(409\) 9.06042e11 1.60101 0.800504 0.599327i \(-0.204565\pi\)
0.800504 + 0.599327i \(0.204565\pi\)
\(410\) 3.92818e10 + 6.04058e10i 0.0686538 + 0.105573i
\(411\) 1.49417e11i 0.258292i
\(412\) 3.67197e11 8.27529e11i 0.627859 1.41497i
\(413\) 1.16053e10i 0.0196282i
\(414\) −6.45129e11 + 4.19527e11i −1.07931 + 0.701872i
\(415\) −2.58565e11 −0.427911
\(416\) 2.42972e11 9.18291e11i 0.397775 1.50335i
\(417\) −8.90112e10 −0.144156
\(418\) 6.64455e11 4.32094e11i 1.06456 0.692286i
\(419\) 4.87495e10i 0.0772693i 0.999253 + 0.0386347i \(0.0123009\pi\)
−0.999253 + 0.0386347i \(0.987699\pi\)
\(420\) −2.13736e9 + 4.81684e9i −0.00335163 + 0.00755337i
\(421\) 1.21366e11i 0.188290i 0.995558 + 0.0941451i \(0.0300118\pi\)
−0.995558 + 0.0941451i \(0.969988\pi\)
\(422\) −1.62665e11 2.50139e11i −0.249683 0.383951i
\(423\) 2.09039e11 0.317466
\(424\) −1.20015e12 + 1.92399e11i −1.80338 + 0.289106i
\(425\) 5.17827e11 0.769900
\(426\) 1.29320e11 + 1.98862e11i 0.190249 + 0.292556i
\(427\) 3.31471e10i 0.0482526i
\(428\) 1.97257e11 + 8.75283e10i 0.284142 + 0.126082i
\(429\) 5.98153e11i 0.852618i
\(430\) 2.66120e11 1.73058e11i 0.375379 0.244108i
\(431\) 5.02186e11 0.700998 0.350499 0.936563i \(-0.386012\pi\)
0.350499 + 0.936563i \(0.386012\pi\)
\(432\) −4.57361e11 + 4.13891e11i −0.631804 + 0.571754i
\(433\) 5.10983e11 0.698572 0.349286 0.937016i \(-0.386424\pi\)
0.349286 + 0.937016i \(0.386424\pi\)
\(434\) −1.57624e10 + 1.02503e10i −0.0213264 + 0.0138685i
\(435\) 5.57828e10i 0.0746963i
\(436\) −1.69995e11 7.54312e10i −0.225292 0.0999681i
\(437\) 1.42763e12i 1.87261i
\(438\) −2.22947e11 3.42838e11i −0.289447 0.445097i
\(439\) −1.29662e12 −1.66618 −0.833088 0.553140i \(-0.813429\pi\)
−0.833088 + 0.553140i \(0.813429\pi\)
\(440\) −5.13354e10 3.20220e11i −0.0652950 0.407297i
\(441\) −6.08339e11 −0.765900
\(442\) 6.03067e11 + 9.27368e11i 0.751563 + 1.15572i
\(443\) 6.03046e11i 0.743933i 0.928246 + 0.371966i \(0.121316\pi\)
−0.928246 + 0.371966i \(0.878684\pi\)
\(444\) 8.53367e10 1.92318e11i 0.104211 0.234853i
\(445\) 1.98545e11i 0.240015i
\(446\) −5.85156e11 + 3.80527e11i −0.700269 + 0.455384i
\(447\) 2.87139e11 0.340179
\(448\) −3.82792e10 + 1.25971e10i −0.0448964 + 0.0147747i
\(449\) −1.45512e11 −0.168963 −0.0844814 0.996425i \(-0.526923\pi\)
−0.0844814 + 0.996425i \(0.526923\pi\)
\(450\) 4.86144e11 3.16139e11i 0.558868 0.363431i
\(451\) 3.46979e11i 0.394920i
\(452\) −1.44848e11 + 3.26435e11i −0.163226 + 0.367852i
\(453\) 7.07229e11i 0.789074i
\(454\) 4.30197e11 + 6.61537e11i 0.475243 + 0.730807i
\(455\) 2.43708e10 0.0266574
\(456\) 7.86622e10 + 4.90678e11i 0.0851970 + 0.531441i
\(457\) 3.72554e11 0.399545 0.199773 0.979842i \(-0.435980\pi\)
0.199773 + 0.979842i \(0.435980\pi\)
\(458\) −7.07271e11 1.08761e12i −0.751089 1.15499i
\(459\) 7.18344e11i 0.755397i
\(460\) 5.33942e11 + 2.36924e11i 0.556012 + 0.246717i
\(461\) 1.61071e12i 1.66097i −0.557039 0.830486i \(-0.688063\pi\)
0.557039 0.830486i \(-0.311937\pi\)
\(462\) 2.12737e10 1.38343e10i 0.0217248 0.0141276i
\(463\) 1.87693e11 0.189816 0.0949082 0.995486i \(-0.469744\pi\)
0.0949082 + 0.995486i \(0.469744\pi\)
\(464\) 3.16294e11 2.86232e11i 0.316782 0.286674i
\(465\) 9.48703e10 0.0941005
\(466\) 5.26740e11 3.42538e11i 0.517439 0.336490i
\(467\) 6.66110e11i 0.648067i 0.946046 + 0.324034i \(0.105039\pi\)
−0.946046 + 0.324034i \(0.894961\pi\)
\(468\) 1.13234e12 + 5.02449e11i 1.09111 + 0.484156i
\(469\) 4.71421e10i 0.0449916i
\(470\) −8.65060e10 1.33025e11i −0.0817722 0.125745i
\(471\) 4.83613e11 0.452797
\(472\) −4.42149e11 + 7.08824e10i −0.410044 + 0.0657354i
\(473\) −1.52863e12 −1.40419
\(474\) 1.92775e11 + 2.96441e11i 0.175408 + 0.269734i
\(475\) 1.07580e12i 0.969644i
\(476\) 1.90345e10 4.28970e10i 0.0169946 0.0382997i
\(477\) 1.58516e12i 1.40198i
\(478\) −1.33785e12 + 8.70005e11i −1.17215 + 0.762248i
\(479\) 5.09054e11 0.441829 0.220914 0.975293i \(-0.429096\pi\)
0.220914 + 0.975293i \(0.429096\pi\)
\(480\) 1.96572e11 + 5.20113e10i 0.169019 + 0.0447210i
\(481\) −9.73032e11 −0.828846
\(482\) −1.18951e12 + 7.73538e11i −1.00382 + 0.652785i
\(483\) 4.57081e10i 0.0382148i
\(484\) −1.43753e11 + 3.23967e11i −0.119073 + 0.268347i
\(485\) 2.07096e11i 0.169955i
\(486\) −6.86664e11 1.05592e12i −0.558317 0.858554i
\(487\) −4.44777e11 −0.358313 −0.179156 0.983821i \(-0.557337\pi\)
−0.179156 + 0.983821i \(0.557337\pi\)
\(488\) 1.26287e12 2.02455e11i 1.00802 0.161599i
\(489\) 7.11529e11 0.562733
\(490\) 2.51746e11 + 3.87124e11i 0.197279 + 0.303367i
\(491\) 1.37326e12i 1.06632i 0.846015 + 0.533159i \(0.178995\pi\)
−0.846015 + 0.533159i \(0.821005\pi\)
\(492\) 1.98853e11 + 8.82363e10i 0.152999 + 0.0678898i
\(493\) 4.96781e11i 0.378751i
\(494\) 1.92664e12 1.25289e12i 1.45556 0.946549i
\(495\) 4.22949e11 0.316639
\(496\) 4.86798e11 + 5.37924e11i 0.361144 + 0.399074i
\(497\) −4.65408e10 −0.0342160
\(498\) −6.54456e11 + 4.25592e11i −0.476813 + 0.310071i
\(499\) 7.60506e11i 0.549099i 0.961573 + 0.274549i \(0.0885287\pi\)
−0.961573 + 0.274549i \(0.911471\pi\)
\(500\) −8.65658e11 3.84116e11i −0.619414 0.274851i
\(501\) 9.46785e11i 0.671401i
\(502\) 2.28258e11 + 3.51004e11i 0.160420 + 0.246687i
\(503\) 1.79142e12 1.24779 0.623895 0.781508i \(-0.285549\pi\)
0.623895 + 0.781508i \(0.285549\pi\)
\(504\) −8.31916e9 5.18932e10i −0.00574304 0.0358239i
\(505\) −4.83136e11 −0.330566
\(506\) −1.53352e12 2.35817e12i −1.03995 1.59918i
\(507\) 1.01720e12i 0.683705i
\(508\) −3.56641e11 + 8.03739e11i −0.237599 + 0.535462i
\(509\) 2.67944e12i 1.76935i 0.466209 + 0.884674i \(0.345619\pi\)
−0.466209 + 0.884674i \(0.654381\pi\)
\(510\) −1.98515e11 + 1.29094e11i −0.129935 + 0.0844967i
\(511\) 8.02362e10 0.0520566
\(512\) 7.13736e11 + 1.38146e12i 0.459011 + 0.888431i
\(513\) −1.49239e12 −0.951378
\(514\) 1.01686e11 6.61263e10i 0.0642580 0.0417869i
\(515\) 8.96253e11i 0.561433i
\(516\) 3.88729e11 8.76054e11i 0.241392 0.544010i
\(517\) 7.64112e11i 0.470381i
\(518\) 2.25046e10 + 3.46065e10i 0.0137337 + 0.0211190i
\(519\) −5.95178e11 −0.360075
\(520\) −1.48851e11 9.28503e11i −0.0892765 0.556889i
\(521\) 9.97197e11 0.592941 0.296470 0.955042i \(-0.404190\pi\)
0.296470 + 0.955042i \(0.404190\pi\)
\(522\) 3.03290e11 + 4.66386e11i 0.178789 + 0.274934i
\(523\) 1.46266e12i 0.854840i 0.904053 + 0.427420i \(0.140577\pi\)
−0.904053 + 0.427420i \(0.859423\pi\)
\(524\) −2.90037e12 1.28697e12i −1.68059 0.745724i
\(525\) 3.44439e10i 0.0197877i
\(526\) 1.03583e12 6.73598e11i 0.589999 0.383676i
\(527\) −8.44879e11 −0.477141
\(528\) −6.57008e11 7.26012e11i −0.367890 0.406529i
\(529\) 3.26554e12 1.81303
\(530\) −1.00874e12 + 6.55981e11i −0.555312 + 0.361119i
\(531\) 5.83995e11i 0.318775i
\(532\) −8.91201e10 3.95450e10i −0.0482362 0.0214037i
\(533\) 1.00609e12i 0.539966i
\(534\) 3.26800e11 + 5.02538e11i 0.173919 + 0.267444i
\(535\) 2.13639e11 0.112743
\(536\) 1.79607e12 2.87933e11i 0.939900 0.150678i
\(537\) −3.33621e11 −0.173129
\(538\) −4.94597e10 7.60568e10i −0.0254525 0.0391397i
\(539\) 2.22369e12i 1.13482i
\(540\) −2.47672e11 + 5.58162e11i −0.125344 + 0.282481i
\(541\) 5.74239e11i 0.288207i −0.989563 0.144104i \(-0.953970\pi\)
0.989563 0.144104i \(-0.0460299\pi\)
\(542\) 1.56258e12 1.01615e12i 0.777760 0.505777i
\(543\) −1.57329e12 −0.776624
\(544\) −1.75059e12 4.63193e11i −0.857018 0.226760i
\(545\) −1.84112e11 −0.0893919
\(546\) 6.16850e10 4.01137e10i 0.0297038 0.0193164i
\(547\) 2.55692e12i 1.22117i −0.791952 0.610583i \(-0.790935\pi\)
0.791952 0.610583i \(-0.209065\pi\)
\(548\) 4.58783e11 1.03393e12i 0.217318 0.489756i
\(549\) 1.66801e12i 0.783653i
\(550\) 1.15560e12 + 1.77703e12i 0.538487 + 0.828061i
\(551\) 1.03208e12 0.477014
\(552\) 1.74143e12 2.79175e11i 0.798327 0.127982i
\(553\) −6.93777e10 −0.0315469
\(554\) 1.12283e12 + 1.72663e12i 0.506429 + 0.778764i
\(555\) 2.08289e11i 0.0931856i
\(556\) −6.15938e11 2.73308e11i −0.273338 0.121288i
\(557\) 2.10146e12i 0.925065i −0.886602 0.462533i \(-0.846941\pi\)
0.886602 0.462533i \(-0.153059\pi\)
\(558\) −7.93186e11 + 5.15808e11i −0.346355 + 0.225234i
\(559\) −4.43239e12 −1.91993
\(560\) −2.95802e10 + 2.67687e10i −0.0127103 + 0.0115022i
\(561\) 1.14029e12 0.486054
\(562\) −1.04491e10 + 6.79506e9i −0.00441842 + 0.00287329i
\(563\) 2.42568e12i 1.01753i 0.860906 + 0.508764i \(0.169897\pi\)
−0.860906 + 0.508764i \(0.830103\pi\)
\(564\) −4.37911e11 1.94313e11i −0.182234 0.0808622i
\(565\) 3.53544e11i 0.145957i
\(566\) 1.60343e12 + 2.46567e12i 0.656712 + 1.00986i
\(567\) 4.15093e10 0.0168664
\(568\) 2.84260e11 + 1.77316e12i 0.114591 + 0.714792i
\(569\) 1.74418e12 0.697567 0.348784 0.937203i \(-0.386595\pi\)
0.348784 + 0.937203i \(0.386595\pi\)
\(570\) 2.68197e11 + 4.12421e11i 0.106419 + 0.163646i
\(571\) 1.57621e12i 0.620515i −0.950653 0.310258i \(-0.899585\pi\)
0.950653 0.310258i \(-0.100415\pi\)
\(572\) −1.83663e12 + 4.13909e12i −0.717362 + 1.61667i
\(573\) 1.36096e12i 0.527410i
\(574\) −3.57824e10 + 2.32693e10i −0.0137584 + 0.00894705i
\(575\) −3.81807e12 −1.45659
\(576\) −1.92627e12 + 6.33903e11i −0.729148 + 0.239951i
\(577\) −2.85422e12 −1.07200 −0.536001 0.844217i \(-0.680066\pi\)
−0.536001 + 0.844217i \(0.680066\pi\)
\(578\) −4.81624e11 + 3.13200e11i −0.179487 + 0.116720i
\(579\) 1.29531e12i 0.478981i
\(580\) 1.71281e11 3.86005e11i 0.0628468 0.141634i
\(581\) 1.53166e11i 0.0557660i
\(582\) 3.40874e11 + 5.24180e11i 0.123152 + 0.189377i
\(583\) 5.79432e12 2.07728
\(584\) −4.90064e11 3.05692e12i −0.174339 1.08749i
\(585\) 1.22637e12 0.432934
\(586\) −6.09271e11 9.36908e11i −0.213438 0.328214i
\(587\) 3.12539e12i 1.08651i −0.839569 0.543254i \(-0.817192\pi\)
0.839569 0.543254i \(-0.182808\pi\)
\(588\) 1.27439e12 + 5.65482e11i 0.439648 + 0.195084i
\(589\) 1.75527e12i 0.600931i
\(590\) −3.71632e11 + 2.41672e11i −0.126264 + 0.0821094i
\(591\) 1.59238e12 0.536912
\(592\) 1.18102e12 1.06877e12i 0.395194 0.357633i
\(593\) 3.82893e11 0.127155 0.0635773 0.997977i \(-0.479749\pi\)
0.0635773 + 0.997977i \(0.479749\pi\)
\(594\) 2.46514e12 1.60308e12i 0.812462 0.528343i
\(595\) 4.64595e10i 0.0151966i
\(596\) 1.98694e12 + 8.81657e11i 0.645024 + 0.286215i
\(597\) 1.94404e12i 0.626355i
\(598\) −4.44656e12 6.83771e12i −1.42190 2.18653i
\(599\) −7.48723e10 −0.0237629 −0.0118815 0.999929i \(-0.503782\pi\)
−0.0118815 + 0.999929i \(0.503782\pi\)
\(600\) −1.31228e12 + 2.10375e11i −0.413376 + 0.0662696i
\(601\) −2.78892e12 −0.871969 −0.435984 0.899954i \(-0.643600\pi\)
−0.435984 + 0.899954i \(0.643600\pi\)
\(602\) 1.02514e11 + 1.57641e11i 0.0318125 + 0.0489198i
\(603\) 2.37226e12i 0.730693i
\(604\) 2.17154e12 4.89387e12i 0.663899 1.49619i
\(605\) 3.50872e11i 0.106475i
\(606\) −1.22287e12 + 7.95230e11i −0.368343 + 0.239533i
\(607\) 2.12944e12 0.636673 0.318337 0.947978i \(-0.396876\pi\)
0.318337 + 0.947978i \(0.396876\pi\)
\(608\) −9.62300e11 + 3.63692e12i −0.285591 + 1.07936i
\(609\) 3.30440e10 0.00973451
\(610\) 1.06146e12 6.90267e11i 0.310399 0.201852i
\(611\) 2.21561e12i 0.643143i
\(612\) 9.57847e11 2.15864e12i 0.276004 0.622012i
\(613\) 4.30691e12i 1.23195i −0.787765 0.615976i \(-0.788762\pi\)
0.787765 0.615976i \(-0.211238\pi\)
\(614\) −4.86414e11 7.47984e11i −0.138117 0.212390i
\(615\) 2.15367e11 0.0607073
\(616\) 1.89688e11 3.04094e10i 0.0530794 0.00850932i
\(617\) −2.30493e12 −0.640286 −0.320143 0.947369i \(-0.603731\pi\)
−0.320143 + 0.947369i \(0.603731\pi\)
\(618\) −1.47521e12 2.26851e12i −0.406823 0.625594i
\(619\) 5.14701e12i 1.40912i 0.709646 + 0.704559i \(0.248855\pi\)
−0.709646 + 0.704559i \(0.751145\pi\)
\(620\) 6.56482e11 + 2.91299e11i 0.178427 + 0.0791728i
\(621\) 5.29653e12i 1.42915i
\(622\) −2.78221e12 + 1.80927e12i −0.745304 + 0.484671i
\(623\) −1.17612e11 −0.0312791
\(624\) −1.90505e12 2.10513e12i −0.503009 0.555838i
\(625\) 2.37537e12 0.622690
\(626\) −8.53756e11 + 5.55197e11i −0.222203 + 0.144498i
\(627\) 2.36900e12i 0.612156i
\(628\) 3.34650e12 + 1.48493e12i 0.858562 + 0.380967i
\(629\) 1.85495e12i 0.472502i
\(630\) −2.83640e10 4.36169e10i −0.00717357 0.0110312i
\(631\) 5.22883e12 1.31302 0.656512 0.754316i \(-0.272031\pi\)
0.656512 + 0.754316i \(0.272031\pi\)
\(632\) 4.23743e11 + 2.64322e12i 0.105651 + 0.659032i
\(633\) −8.91830e11 −0.220783
\(634\) 1.45919e11 + 2.24387e11i 0.0358681 + 0.0551563i
\(635\) 8.70487e11i 0.212462i
\(636\) −1.47349e12 + 3.32071e12i −0.357100 + 0.804775i
\(637\) 6.44778e12i 1.55161i
\(638\) −1.70480e12 + 1.10863e12i −0.407363 + 0.264908i
\(639\) −2.34200e12 −0.555691
\(640\) 1.20053e12 + 9.63478e11i 0.282855 + 0.227003i
\(641\) −6.02644e12 −1.40994 −0.704969 0.709238i \(-0.749039\pi\)
−0.704969 + 0.709238i \(0.749039\pi\)
\(642\) 5.40742e11 3.51644e11i 0.125627 0.0816950i
\(643\) 5.00421e12i 1.15448i 0.816575 + 0.577240i \(0.195870\pi\)
−0.816575 + 0.577240i \(0.804130\pi\)
\(644\) −1.40346e11 + 3.16290e11i −0.0321525 + 0.0724601i
\(645\) 9.48807e11i 0.215854i
\(646\) −2.38846e12 3.67287e12i −0.539600 0.829772i
\(647\) 3.75255e11 0.0841893 0.0420946 0.999114i \(-0.486597\pi\)
0.0420946 + 0.999114i \(0.486597\pi\)
\(648\) −2.53530e11 1.58147e12i −0.0564860 0.352348i
\(649\) 2.13471e12 0.472321
\(650\) 3.35076e12 + 5.15264e12i 0.736263 + 1.13219i
\(651\) 5.61981e10i 0.0122633i
\(652\) 4.92362e12 + 2.18474e12i 1.06701 + 0.473463i
\(653\) 3.69732e12i 0.795753i −0.917439 0.397877i \(-0.869747\pi\)
0.917439 0.397877i \(-0.130253\pi\)
\(654\) −4.66007e11 + 3.03044e11i −0.0996075 + 0.0647747i
\(655\) −3.14124e12 −0.666829
\(656\) 1.10509e12 + 1.22115e12i 0.232986 + 0.257456i
\(657\) 4.03761e12 0.845434
\(658\) 7.87996e10 5.12433e10i 0.0163873 0.0106567i
\(659\) 9.20538e12i 1.90133i −0.310220 0.950665i \(-0.600403\pi\)
0.310220 0.950665i \(-0.399597\pi\)
\(660\) −8.86023e11 3.93153e11i −0.181760 0.0806517i
\(661\) 4.18896e12i 0.853492i 0.904371 + 0.426746i \(0.140340\pi\)
−0.904371 + 0.426746i \(0.859660\pi\)
\(662\) 2.63855e12 + 4.05744e12i 0.533955 + 0.821091i
\(663\) 3.30638e12 0.664571
\(664\) −5.83547e12 + 9.35502e11i −1.16498 + 0.186762i
\(665\) −9.65212e10 −0.0191393
\(666\) 1.13247e12 + 1.74145e12i 0.223044 + 0.342987i
\(667\) 3.66289e12i 0.716568i
\(668\) 2.90710e12 6.55155e12i 0.564892 1.27306i
\(669\) 2.08628e12i 0.402675i
\(670\) 1.50962e12 9.81704e11i 0.289421 0.188211i
\(671\) −6.09717e12 −1.16112
\(672\) −3.08098e10 + 1.16443e11i −0.00582810 + 0.0220267i
\(673\) −9.82065e12 −1.84532 −0.922661 0.385611i \(-0.873991\pi\)
−0.922661 + 0.385611i \(0.873991\pi\)
\(674\) 3.60501e12 2.34434e12i 0.672879 0.437573i
\(675\) 3.99126e12i 0.740019i
\(676\) −3.12329e12 + 7.03877e12i −0.575244 + 1.29639i
\(677\) 1.20487e12i 0.220440i −0.993907 0.110220i \(-0.964845\pi\)
0.993907 0.110220i \(-0.0351555\pi\)
\(678\) 5.81924e11 + 8.94856e11i 0.105763 + 0.162637i
\(679\) −1.22677e11 −0.0221487
\(680\) −1.77006e12 + 2.83764e11i −0.317466 + 0.0508940i
\(681\) 2.35860e12 0.420235
\(682\) −1.88546e12 2.89937e12i −0.333724 0.513185i
\(683\) 3.83455e12i 0.674251i −0.941460 0.337125i \(-0.890545\pi\)
0.941460 0.337125i \(-0.109455\pi\)
\(684\) −4.48466e12 1.98996e12i −0.783388 0.347610i
\(685\) 1.11980e12i 0.194326i
\(686\) −4.59153e11 + 2.98587e11i −0.0791587 + 0.0514769i
\(687\) −3.87769e12 −0.664153
\(688\) 5.37983e12 4.86851e12i 0.915421 0.828415i
\(689\) 1.68011e13 2.84022
\(690\) 1.46370e12 9.51841e11i 0.245827 0.159861i
\(691\) 8.54150e12i 1.42522i 0.701559 + 0.712612i \(0.252488\pi\)
−0.701559 + 0.712612i \(0.747512\pi\)
\(692\) −4.11850e12 1.82749e12i −0.682750 0.302954i
\(693\) 2.50541e11i 0.0412648i
\(694\) 3.10179e12 + 4.76980e12i 0.507569 + 0.780517i
\(695\) −6.67090e11 −0.108456
\(696\) −2.01825e11 1.25894e12i −0.0326012 0.203359i
\(697\) −1.91798e12 −0.307819
\(698\) −3.64632e11 5.60714e11i −0.0581441 0.0894112i
\(699\) 1.87800e12i 0.297543i
\(700\) 1.05760e11 2.38344e11i 0.0166486 0.0375200i
\(701\) 1.27661e11i 0.0199676i −0.999950 0.00998380i \(-0.996822\pi\)
0.999950 0.00998380i \(-0.00317799\pi\)
\(702\) 7.14788e12 4.64826e12i 1.11086 0.722393i
\(703\) 3.85372e12 0.595088
\(704\) −2.31714e12 7.04118e12i −0.355529 1.08036i
\(705\) −4.74278e11 −0.0723073
\(706\) −6.57109e12 + 4.27317e12i −0.995442 + 0.647335i
\(707\) 2.86194e11i 0.0430798i
\(708\) −5.42853e11 + 1.22339e12i −0.0811956 + 0.182986i
\(709\) 1.20824e13i 1.79574i 0.440258 + 0.897871i \(0.354887\pi\)
−0.440258 + 0.897871i \(0.645113\pi\)
\(710\) 9.69181e11 + 1.49036e12i 0.143134 + 0.220105i
\(711\) −3.49119e12 −0.512342
\(712\) 7.18345e11 + 4.48089e12i 0.104755 + 0.653438i
\(713\) 6.22950e12 0.902714
\(714\) −7.64711e10 1.17594e11i −0.0110117 0.0169333i
\(715\) 4.48283e12i 0.641468i
\(716\) −2.30859e12 1.02438e12i −0.328275 0.145664i
\(717\) 4.76990e12i 0.674020i
\(718\) −4.68108e12 + 3.04410e12i −0.657334 + 0.427464i
\(719\) −3.46841e12 −0.484005 −0.242003 0.970276i \(-0.577804\pi\)
−0.242003 + 0.970276i \(0.577804\pi\)
\(720\) −1.48852e12 + 1.34704e12i −0.206423 + 0.186804i
\(721\) 5.30912e11 0.0731667
\(722\) −1.50939e12 + 9.81553e11i −0.206720 + 0.134430i
\(723\) 4.24101e12i 0.577227i
\(724\) −1.08868e13 4.83079e12i −1.47258 0.653423i
\(725\) 2.76021e12i 0.371041i
\(726\) 5.77526e11 + 8.88093e11i 0.0771538 + 0.118643i
\(727\) −2.83270e12 −0.376093 −0.188047 0.982160i \(-0.560216\pi\)
−0.188047 + 0.982160i \(0.560216\pi\)
\(728\) 5.50015e11 8.81747e10i 0.0725744 0.0116346i
\(729\) −1.04354e12 −0.136846
\(730\) −1.67087e12 2.56938e12i −0.217765 0.334869i
\(731\) 8.44972e12i 1.09450i
\(732\) 1.55050e12 3.49427e12i 0.199606 0.449839i
\(733\) 3.96035e12i 0.506718i −0.967372 0.253359i \(-0.918465\pi\)
0.967372 0.253359i \(-0.0815353\pi\)
\(734\) 9.09677e12 5.91562e12i 1.15679 0.752260i
\(735\) 1.38023e12 0.174445
\(736\) 1.29075e13 + 3.41523e12i 1.62141 + 0.429013i
\(737\) −8.67145e12 −1.08265
\(738\) −1.80063e12 + 1.17095e12i −0.223445 + 0.145306i
\(739\) 7.18973e12i 0.886773i −0.896330 0.443387i \(-0.853777\pi\)
0.896330 0.443387i \(-0.146223\pi\)
\(740\) 6.39551e11 1.44132e12i 0.0784030 0.176692i
\(741\) 6.86912e12i 0.836988i
\(742\) −3.88582e11 5.97544e11i −0.0470615 0.0723689i
\(743\) 4.60214e12 0.554001 0.277000 0.960870i \(-0.410660\pi\)
0.277000 + 0.960870i \(0.410660\pi\)
\(744\) 2.14109e12 3.43245e11i 0.256187 0.0410702i
\(745\) 2.15195e12 0.255934
\(746\) −2.15510e12 3.31401e12i −0.254767 0.391768i
\(747\) 7.70753e12i 0.905676i
\(748\) 7.89059e12 + 3.50127e12i 0.921620 + 0.408948i
\(749\) 1.26553e11i 0.0146928i
\(750\) −2.37303e12 + 1.54318e12i −0.273859 + 0.178091i
\(751\) 1.53501e13 1.76089 0.880446 0.474147i \(-0.157244\pi\)
0.880446 + 0.474147i \(0.157244\pi\)
\(752\) −2.43361e12 2.68920e12i −0.277505 0.306650i
\(753\) 1.25145e12 0.141852
\(754\) −4.94322e12 + 3.21457e12i −0.556979 + 0.362203i
\(755\) 5.30029e12i 0.593661i
\(756\) −3.30637e11 1.46713e11i −0.0368132 0.0163350i
\(757\) 1.45554e13i 1.61099i −0.592604 0.805494i \(-0.701900\pi\)
0.592604 0.805494i \(-0.298100\pi\)
\(758\) −5.73258e12 8.81529e12i −0.630723 0.969897i
\(759\) −8.40767e12 −0.919576
\(760\) 5.89530e11 + 3.67736e12i 0.0640980 + 0.399830i
\(761\) −9.75697e12 −1.05459 −0.527295 0.849682i \(-0.676794\pi\)
−0.527295 + 0.849682i \(0.676794\pi\)
\(762\) 1.43280e12 + 2.20329e12i 0.153953 + 0.236742i
\(763\) 1.09062e11i 0.0116497i
\(764\) −4.17881e12 + 9.41752e12i −0.443744 + 1.00004i
\(765\) 2.33791e12i 0.246803i
\(766\) 1.05862e13 6.88419e12i 1.11099 0.722476i
\(767\) 6.18976e12 0.645794
\(768\) 4.62453e12 + 4.62618e11i 0.479669 + 0.0479841i
\(769\) −7.29745e12 −0.752494 −0.376247 0.926519i \(-0.622786\pi\)
−0.376247 + 0.926519i \(0.622786\pi\)
\(770\) 1.59435e11 1.03680e11i 0.0163446 0.0106289i
\(771\) 3.62545e11i 0.0369502i
\(772\) −3.97723e12 + 8.96323e12i −0.402997 + 0.908210i
\(773\) 4.86326e12i 0.489914i 0.969534 + 0.244957i \(0.0787739\pi\)
−0.969534 + 0.244957i \(0.921226\pi\)
\(774\) 5.15865e12 + 7.93273e12