Properties

Label 5.33.c.a.3.7
Level $5$
Weight $33$
Character 5.3
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 5 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 5.c (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.4333275711\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.7
Character \(\chi\) \(=\) 5.3
Dual form 5.33.c.a.2.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-7096.95 + 7096.95i) q^{2} +(-4.70380e7 - 4.70380e7i) q^{3} +4.19423e9i q^{4} +(-3.87281e10 + 1.47591e11i) q^{5} +6.67652e11 q^{6} +(-3.04405e13 + 3.04405e13i) q^{7} +(-6.02475e13 - 6.02475e13i) q^{8} +2.57212e15i q^{9} +O(q^{10})\) \(q+(-7096.95 + 7096.95i) q^{2} +(-4.70380e7 - 4.70380e7i) q^{3} +4.19423e9i q^{4} +(-3.87281e10 + 1.47591e11i) q^{5} +6.67652e11 q^{6} +(-3.04405e13 + 3.04405e13i) q^{7} +(-6.02475e13 - 6.02475e13i) q^{8} +2.57212e15i q^{9} +(-7.72597e14 - 1.32230e15i) q^{10} +3.11706e16 q^{11} +(1.97288e17 - 1.97288e17i) q^{12} +(8.11181e17 + 8.11181e17i) q^{13} -4.32069e17i q^{14} +(8.76409e18 - 5.12070e18i) q^{15} -1.71589e19 q^{16} +(-5.99103e19 + 5.99103e19i) q^{17} +(-1.82542e19 - 1.82542e19i) q^{18} -3.24007e19i q^{19} +(-6.19032e20 - 1.62435e20i) q^{20} +2.86372e21 q^{21} +(-2.21216e20 + 2.21216e20i) q^{22} +(7.07294e20 + 7.07294e20i) q^{23} +5.66784e21i q^{24} +(-2.02833e22 - 1.14319e22i) q^{25} -1.15138e22 q^{26} +(3.38249e22 - 3.38249e22i) q^{27} +(-1.27675e23 - 1.27675e23i) q^{28} +1.29019e23i q^{29} +(-2.58569e22 + 9.85397e22i) q^{30} +1.94976e23 q^{31} +(3.80537e23 - 3.80537e23i) q^{32} +(-1.46620e24 - 1.46620e24i) q^{33} -8.50362e23i q^{34} +(-3.31385e24 - 5.67165e24i) q^{35} -1.07881e25 q^{36} +(-1.30388e25 + 1.30388e25i) q^{37} +(2.29947e23 + 2.29947e23i) q^{38} -7.63126e25i q^{39} +(1.12253e25 - 6.55873e24i) q^{40} +1.97064e25 q^{41} +(-2.03237e25 + 2.03237e25i) q^{42} +(-1.49066e26 - 1.49066e26i) q^{43} +1.30737e26i q^{44} +(-3.79622e26 - 9.96133e25i) q^{45} -1.00393e25 q^{46} +(-1.46092e25 + 1.46092e25i) q^{47} +(8.07122e26 + 8.07122e26i) q^{48} -7.48818e26i q^{49} +(2.25081e26 - 6.28184e25i) q^{50} +5.63612e27 q^{51} +(-3.40228e27 + 3.40228e27i) q^{52} +(1.61176e26 + 1.61176e26i) q^{53} +4.80108e26i q^{54} +(-1.20718e27 + 4.60051e27i) q^{55} +3.66792e27 q^{56} +(-1.52406e27 + 1.52406e27i) q^{57} +(-9.15643e26 - 9.15643e26i) q^{58} -1.65995e28i q^{59} +(2.14774e28 + 3.67586e28i) q^{60} +3.79371e28 q^{61} +(-1.38374e27 + 1.38374e27i) q^{62} +(-7.82965e28 - 7.82965e28i) q^{63} -6.82958e28i q^{64} +(-1.51139e29 + 8.83077e28i) q^{65} +2.08111e28 q^{66} +(-5.62478e27 + 5.62478e27i) q^{67} +(-2.51278e29 - 2.51278e29i) q^{68} -6.65393e28i q^{69} +(6.37697e28 + 1.67332e28i) q^{70} +2.56347e29 q^{71} +(1.54964e29 - 1.54964e29i) q^{72} +(2.59851e28 + 2.59851e28i) q^{73} -1.85071e29i q^{74} +(4.16355e29 + 1.49182e30i) q^{75} +1.35896e29 q^{76} +(-9.48847e29 + 9.48847e29i) q^{77} +(5.41587e29 + 5.41587e29i) q^{78} -6.46531e29i q^{79} +(6.64534e29 - 2.53251e30i) q^{80} +1.58408e30 q^{81} +(-1.39855e29 + 1.39855e29i) q^{82} +(5.85299e30 + 5.85299e30i) q^{83} +1.20111e31i q^{84} +(-6.52203e30 - 1.11625e31i) q^{85} +2.11582e30 q^{86} +(6.06880e30 - 6.06880e30i) q^{87} +(-1.87795e30 - 1.87795e30i) q^{88} -1.03268e31i q^{89} +(3.40111e30 - 1.98721e30i) q^{90} -4.93855e31 q^{91} +(-2.96656e30 + 2.96656e30i) q^{92} +(-9.17129e30 - 9.17129e30i) q^{93} -2.07362e29i q^{94} +(4.78207e30 + 1.25482e30i) q^{95} -3.57994e31 q^{96} +(4.86752e31 - 4.86752e31i) q^{97} +(5.31433e30 + 5.31433e30i) q^{98} +8.01744e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} + O(q^{10}) \) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} - 17555754485145450q^{10} - 60908362837533640q^{11} + 444566273630869608q^{12} + 649759187023107138q^{13} + 6285624407445962400q^{15} - 46108906958970522120q^{16} - \)\(21\!\cdots\!02\)\(q^{17} + \)\(24\!\cdots\!58\)\(q^{18} - \)\(30\!\cdots\!00\)\(q^{20} + \)\(45\!\cdots\!60\)\(q^{21} - \)\(11\!\cdots\!44\)\(q^{22} + \)\(13\!\cdots\!08\)\(q^{23} + \)\(35\!\cdots\!50\)\(q^{25} - \)\(23\!\cdots\!40\)\(q^{26} + \)\(17\!\cdots\!60\)\(q^{27} + \)\(59\!\cdots\!12\)\(q^{28} + \)\(12\!\cdots\!00\)\(q^{30} - \)\(12\!\cdots\!40\)\(q^{31} + \)\(31\!\cdots\!68\)\(q^{32} - \)\(16\!\cdots\!04\)\(q^{33} - \)\(81\!\cdots\!00\)\(q^{35} + \)\(31\!\cdots\!80\)\(q^{36} - \)\(12\!\cdots\!02\)\(q^{37} + \)\(57\!\cdots\!80\)\(q^{38} + \)\(21\!\cdots\!00\)\(q^{40} - \)\(15\!\cdots\!40\)\(q^{41} + \)\(79\!\cdots\!36\)\(q^{42} - \)\(54\!\cdots\!52\)\(q^{43} + \)\(10\!\cdots\!50\)\(q^{45} - \)\(34\!\cdots\!40\)\(q^{46} + \)\(27\!\cdots\!48\)\(q^{47} - \)\(31\!\cdots\!92\)\(q^{48} + \)\(44\!\cdots\!50\)\(q^{50} - \)\(61\!\cdots\!40\)\(q^{51} + \)\(60\!\cdots\!28\)\(q^{52} - \)\(11\!\cdots\!82\)\(q^{53} - \)\(71\!\cdots\!00\)\(q^{55} - \)\(47\!\cdots\!00\)\(q^{56} + \)\(44\!\cdots\!20\)\(q^{57} - \)\(29\!\cdots\!80\)\(q^{58} + \)\(34\!\cdots\!00\)\(q^{60} + \)\(50\!\cdots\!60\)\(q^{61} - \)\(21\!\cdots\!24\)\(q^{62} + \)\(21\!\cdots\!08\)\(q^{63} - \)\(34\!\cdots\!50\)\(q^{65} + \)\(13\!\cdots\!20\)\(q^{66} - \)\(73\!\cdots\!52\)\(q^{67} + \)\(10\!\cdots\!12\)\(q^{68} - \)\(36\!\cdots\!00\)\(q^{70} + \)\(81\!\cdots\!60\)\(q^{71} - \)\(95\!\cdots\!20\)\(q^{72} - \)\(37\!\cdots\!42\)\(q^{73} + \)\(10\!\cdots\!00\)\(q^{75} - \)\(66\!\cdots\!00\)\(q^{76} + \)\(63\!\cdots\!56\)\(q^{77} - \)\(91\!\cdots\!84\)\(q^{78} + \)\(58\!\cdots\!00\)\(q^{80} - \)\(14\!\cdots\!70\)\(q^{81} + \)\(27\!\cdots\!36\)\(q^{82} + \)\(49\!\cdots\!28\)\(q^{83} - \)\(44\!\cdots\!50\)\(q^{85} + \)\(16\!\cdots\!60\)\(q^{86} + \)\(36\!\cdots\!80\)\(q^{87} - \)\(47\!\cdots\!60\)\(q^{88} + \)\(81\!\cdots\!50\)\(q^{90} - \)\(10\!\cdots\!40\)\(q^{91} - \)\(18\!\cdots\!52\)\(q^{92} + \)\(11\!\cdots\!16\)\(q^{93} - \)\(10\!\cdots\!00\)\(q^{95} + \)\(38\!\cdots\!60\)\(q^{96} - \)\(15\!\cdots\!02\)\(q^{97} + \)\(12\!\cdots\!02\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7096.95 + 7096.95i −0.108291 + 0.108291i −0.759176 0.650885i \(-0.774398\pi\)
0.650885 + 0.759176i \(0.274398\pi\)
\(3\) −4.70380e7 4.70380e7i −1.09272 1.09272i −0.995237 0.0974813i \(-0.968921\pi\)
−0.0974813 0.995237i \(-0.531079\pi\)
\(4\) 4.19423e9i 0.976546i
\(5\) −3.87281e10 + 1.47591e11i −0.253809 + 0.967254i
\(6\) 6.67652e11 0.236663
\(7\) −3.04405e13 + 3.04405e13i −0.915973 + 0.915973i −0.996734 0.0807601i \(-0.974265\pi\)
0.0807601 + 0.996734i \(0.474265\pi\)
\(8\) −6.02475e13 6.02475e13i −0.214042 0.214042i
\(9\) 2.57212e15i 1.38807i
\(10\) −7.72597e14 1.32230e15i −0.0772597 0.132230i
\(11\) 3.11706e16 0.678362 0.339181 0.940721i \(-0.389850\pi\)
0.339181 + 0.940721i \(0.389850\pi\)
\(12\) 1.97288e17 1.97288e17i 1.06709 1.06709i
\(13\) 8.11181e17 + 8.11181e17i 1.21906 + 1.21906i 0.967963 + 0.251094i \(0.0807904\pi\)
0.251094 + 0.967963i \(0.419210\pi\)
\(14\) 4.32069e17i 0.198383i
\(15\) 8.76409e18 5.12070e18i 1.33428 0.779596i
\(16\) −1.71589e19 −0.930189
\(17\) −5.99103e19 + 5.99103e19i −1.23117 + 1.23117i −0.267659 + 0.963514i \(0.586250\pi\)
−0.963514 + 0.267659i \(0.913750\pi\)
\(18\) −1.82542e19 1.82542e19i −0.150315 0.150315i
\(19\) 3.24007e19i 0.112330i −0.998421 0.0561652i \(-0.982113\pi\)
0.998421 0.0561652i \(-0.0178874\pi\)
\(20\) −6.19032e20 1.62435e20i −0.944569 0.247856i
\(21\) 2.86372e21 2.00180
\(22\) −2.21216e20 + 2.21216e20i −0.0734605 + 0.0734605i
\(23\) 7.07294e20 + 7.07294e20i 0.115333 + 0.115333i 0.762418 0.647085i \(-0.224012\pi\)
−0.647085 + 0.762418i \(0.724012\pi\)
\(24\) 5.66784e21i 0.467775i
\(25\) −2.02833e22 1.14319e22i −0.871162 0.490995i
\(26\) −1.15138e22 −0.264026
\(27\) 3.38249e22 3.38249e22i 0.424049 0.424049i
\(28\) −1.27675e23 1.27675e23i −0.894490 0.894490i
\(29\) 1.29019e23i 0.515568i 0.966203 + 0.257784i \(0.0829924\pi\)
−0.966203 + 0.257784i \(0.917008\pi\)
\(30\) −2.58569e22 + 9.85397e22i −0.0600671 + 0.228913i
\(31\) 1.94976e23 0.268037 0.134019 0.990979i \(-0.457212\pi\)
0.134019 + 0.990979i \(0.457212\pi\)
\(32\) 3.80537e23 3.80537e23i 0.314773 0.314773i
\(33\) −1.46620e24 1.46620e24i −0.741259 0.741259i
\(34\) 8.50362e23i 0.266650i
\(35\) −3.31385e24 5.67165e24i −0.653497 1.11846i
\(36\) −1.07881e25 −1.35551
\(37\) −1.30388e25 + 1.30388e25i −1.05684 + 1.05684i −0.0585575 + 0.998284i \(0.518650\pi\)
−0.998284 + 0.0585575i \(0.981350\pi\)
\(38\) 2.29947e23 + 2.29947e23i 0.0121644 + 0.0121644i
\(39\) 7.63126e25i 2.66417i
\(40\) 1.12253e25 6.55873e24i 0.261359 0.152707i
\(41\) 1.97064e25 0.309076 0.154538 0.987987i \(-0.450611\pi\)
0.154538 + 0.987987i \(0.450611\pi\)
\(42\) −2.03237e25 + 2.03237e25i −0.216777 + 0.216777i
\(43\) −1.49066e26 1.49066e26i −1.09114 1.09114i −0.995407 0.0957369i \(-0.969479\pi\)
−0.0957369 0.995407i \(-0.530521\pi\)
\(44\) 1.30737e26i 0.662452i
\(45\) −3.79622e26 9.96133e25i −1.34262 0.352304i
\(46\) −1.00393e25 −0.0249791
\(47\) −1.46092e25 + 1.46092e25i −0.0257669 + 0.0257669i −0.719873 0.694106i \(-0.755800\pi\)
0.694106 + 0.719873i \(0.255800\pi\)
\(48\) 8.07122e26 + 8.07122e26i 1.01643 + 1.01643i
\(49\) 7.48818e26i 0.678015i
\(50\) 2.25081e26 6.28184e25i 0.147509 0.0411687i
\(51\) 5.63612e27 2.69065
\(52\) −3.40228e27 + 3.40228e27i −1.19047 + 1.19047i
\(53\) 1.61176e26 + 1.61176e26i 0.0415802 + 0.0415802i 0.727591 0.686011i \(-0.240640\pi\)
−0.686011 + 0.727591i \(0.740640\pi\)
\(54\) 4.80108e26i 0.0918414i
\(55\) −1.20718e27 + 4.60051e27i −0.172174 + 0.656149i
\(56\) 3.66792e27 0.392114
\(57\) −1.52406e27 + 1.52406e27i −0.122746 + 0.122746i
\(58\) −9.15643e26 9.15643e26i −0.0558314 0.0558314i
\(59\) 1.65995e28i 0.769950i −0.922927 0.384975i \(-0.874210\pi\)
0.922927 0.384975i \(-0.125790\pi\)
\(60\) 2.14774e28 + 3.67586e28i 0.761311 + 1.30298i
\(61\) 3.79371e28 1.03225 0.516127 0.856512i \(-0.327373\pi\)
0.516127 + 0.856512i \(0.327373\pi\)
\(62\) −1.38374e27 + 1.38374e27i −0.0290260 + 0.0290260i
\(63\) −7.82965e28 7.82965e28i −1.27143 1.27143i
\(64\) 6.82958e28i 0.862014i
\(65\) −1.51139e29 + 8.83077e28i −1.48855 + 0.869731i
\(66\) 2.08111e28 0.160543
\(67\) −5.62478e27 + 5.62478e27i −0.0341121 + 0.0341121i −0.723957 0.689845i \(-0.757679\pi\)
0.689845 + 0.723957i \(0.257679\pi\)
\(68\) −2.51278e29 2.51278e29i −1.20230 1.20230i
\(69\) 6.65393e28i 0.252054i
\(70\) 6.37697e28 + 1.67332e28i 0.191887 + 0.0503514i
\(71\) 2.56347e29 0.614744 0.307372 0.951589i \(-0.400550\pi\)
0.307372 + 0.951589i \(0.400550\pi\)
\(72\) 1.54964e29 1.54964e29i 0.297105 0.297105i
\(73\) 2.59851e28 + 2.59851e28i 0.0399538 + 0.0399538i 0.726801 0.686848i \(-0.241006\pi\)
−0.686848 + 0.726801i \(0.741006\pi\)
\(74\) 1.85071e29i 0.228893i
\(75\) 4.16355e29 + 1.49182e30i 0.415416 + 1.48845i
\(76\) 1.35896e29 0.109696
\(77\) −9.48847e29 + 9.48847e29i −0.621362 + 0.621362i
\(78\) 5.41587e29 + 5.41587e29i 0.288506 + 0.288506i
\(79\) 6.46531e29i 0.280903i −0.990088 0.140451i \(-0.955145\pi\)
0.990088 0.140451i \(-0.0448554\pi\)
\(80\) 6.64534e29 2.53251e30i 0.236090 0.899729i
\(81\) 1.58408e30 0.461335
\(82\) −1.39855e29 + 1.39855e29i −0.0334701 + 0.0334701i
\(83\) 5.85299e30 + 5.85299e30i 1.15379 + 1.15379i 0.985786 + 0.168007i \(0.0537332\pi\)
0.168007 + 0.985786i \(0.446267\pi\)
\(84\) 1.20111e31i 1.95485i
\(85\) −6.52203e30 1.11625e31i −0.878375 1.50334i
\(86\) 2.11582e30 0.236322
\(87\) 6.06880e30 6.06880e30i 0.563371 0.563371i
\(88\) −1.87795e30 1.87795e30i −0.145198 0.145198i
\(89\) 1.03268e31i 0.666383i −0.942859 0.333191i \(-0.891874\pi\)
0.942859 0.333191i \(-0.108126\pi\)
\(90\) 3.40111e30 1.98721e30i 0.183544 0.107242i
\(91\) −4.93855e31 −2.23325
\(92\) −2.96656e30 + 2.96656e30i −0.112628 + 0.112628i
\(93\) −9.17129e30 9.17129e30i −0.292889 0.292889i
\(94\) 2.07362e29i 0.00558064i
\(95\) 4.78207e30 + 1.25482e30i 0.108652 + 0.0285104i
\(96\) −3.57994e31 −0.687917
\(97\) 4.86752e31 4.86752e31i 0.792429 0.792429i −0.189460 0.981888i \(-0.560674\pi\)
0.981888 + 0.189460i \(0.0606736\pi\)
\(98\) 5.31433e30 + 5.31433e30i 0.0734228 + 0.0734228i
\(99\) 8.01744e31i 0.941613i
\(100\) 4.79479e31 8.50730e31i 0.479479 0.850730i
\(101\) 1.32253e32 1.12788 0.563939 0.825817i \(-0.309285\pi\)
0.563939 + 0.825817i \(0.309285\pi\)
\(102\) −3.99993e31 + 3.99993e31i −0.291373 + 0.291373i
\(103\) −5.17852e31 5.17852e31i −0.322708 0.322708i 0.527097 0.849805i \(-0.323280\pi\)
−0.849805 + 0.527097i \(0.823280\pi\)
\(104\) 9.77432e31i 0.521859i
\(105\) −1.10906e32 + 4.22660e32i −0.508075 + 1.93625i
\(106\) −2.28772e30 −0.00900552
\(107\) −1.05685e32 + 1.05685e32i −0.357992 + 0.357992i −0.863072 0.505080i \(-0.831463\pi\)
0.505080 + 0.863072i \(0.331463\pi\)
\(108\) 1.41870e32 + 1.41870e32i 0.414104 + 0.414104i
\(109\) 2.00633e32i 0.505333i 0.967553 + 0.252667i \(0.0813076\pi\)
−0.967553 + 0.252667i \(0.918692\pi\)
\(110\) −2.40823e31 4.12169e31i −0.0524101 0.0896999i
\(111\) 1.22664e33 2.30966
\(112\) 5.22327e32 5.22327e32i 0.852028 0.852028i
\(113\) −5.67464e32 5.67464e32i −0.802941 0.802941i 0.180613 0.983554i \(-0.442192\pi\)
−0.983554 + 0.180613i \(0.942192\pi\)
\(114\) 2.16324e31i 0.0265845i
\(115\) −1.31783e32 + 7.69983e31i −0.140829 + 0.0822840i
\(116\) −5.41137e32 −0.503476
\(117\) −2.08645e33 + 2.08645e33i −1.69213 + 1.69213i
\(118\) 1.17806e32 + 1.17806e32i 0.0833786 + 0.0833786i
\(119\) 3.64740e33i 2.25544i
\(120\) −8.36523e32 2.19505e32i −0.452458 0.118725i
\(121\) −1.13977e33 −0.539824
\(122\) −2.69238e32 + 2.69238e32i −0.111784 + 0.111784i
\(123\) −9.26949e32 9.26949e32i −0.337733 0.337733i
\(124\) 8.17777e32i 0.261751i
\(125\) 2.47278e33 2.55091e33i 0.696026 0.718017i
\(126\) 1.11133e33 0.275369
\(127\) 3.88082e33 3.88082e33i 0.847353 0.847353i −0.142449 0.989802i \(-0.545498\pi\)
0.989802 + 0.142449i \(0.0454977\pi\)
\(128\) 2.11909e33 + 2.11909e33i 0.408121 + 0.408121i
\(129\) 1.40235e34i 2.38463i
\(130\) 4.45909e32 1.69934e33i 0.0670120 0.255380i
\(131\) −1.29669e34 −1.72384 −0.861918 0.507047i \(-0.830737\pi\)
−0.861918 + 0.507047i \(0.830737\pi\)
\(132\) 6.14959e33 6.14959e33i 0.723874 0.723874i
\(133\) 9.86294e32 + 9.86294e32i 0.102892 + 0.102892i
\(134\) 7.98376e31i 0.00738807i
\(135\) 3.68229e33 + 6.30224e33i 0.302536 + 0.517791i
\(136\) 7.21889e33 0.527045
\(137\) −7.81980e33 + 7.81980e33i −0.507769 + 0.507769i −0.913841 0.406072i \(-0.866898\pi\)
0.406072 + 0.913841i \(0.366898\pi\)
\(138\) 4.72226e32 + 4.72226e32i 0.0272951 + 0.0272951i
\(139\) 9.15332e33i 0.471348i 0.971832 + 0.235674i \(0.0757298\pi\)
−0.971832 + 0.235674i \(0.924270\pi\)
\(140\) 2.37882e34 1.38991e34i 1.09223 0.638170i
\(141\) 1.37438e33 0.0563119
\(142\) −1.81928e33 + 1.81928e33i −0.0665712 + 0.0665712i
\(143\) 2.52850e34 + 2.52850e34i 0.826962 + 0.826962i
\(144\) 4.41348e34i 1.29117i
\(145\) −1.90421e34 4.99667e33i −0.498686 0.130856i
\(146\) −3.68830e32 −0.00865328
\(147\) −3.52229e34 + 3.52229e34i −0.740879 + 0.740879i
\(148\) −5.46878e34 5.46878e34i −1.03205 1.03205i
\(149\) 3.01233e34i 0.510413i 0.966887 + 0.255207i \(0.0821435\pi\)
−0.966887 + 0.255207i \(0.917857\pi\)
\(150\) −1.35422e34 7.63251e33i −0.206172 0.116200i
\(151\) −6.55243e33 −0.0896957 −0.0448478 0.998994i \(-0.514280\pi\)
−0.0448478 + 0.998994i \(0.514280\pi\)
\(152\) −1.95206e33 + 1.95206e33i −0.0240434 + 0.0240434i
\(153\) −1.54096e35 1.54096e35i −1.70895 1.70895i
\(154\) 1.34679e34i 0.134576i
\(155\) −7.55107e33 + 2.87768e34i −0.0680301 + 0.259260i
\(156\) 3.20073e35 2.60169
\(157\) −6.66947e34 + 6.66947e34i −0.489437 + 0.489437i −0.908129 0.418691i \(-0.862489\pi\)
0.418691 + 0.908129i \(0.362489\pi\)
\(158\) 4.58840e33 + 4.58840e33i 0.0304192 + 0.0304192i
\(159\) 1.51628e34i 0.0908709i
\(160\) 4.14265e34 + 7.09015e34i 0.224573 + 0.384358i
\(161\) −4.30607e34 −0.211284
\(162\) −1.12421e34 + 1.12421e34i −0.0499584 + 0.0499584i
\(163\) 1.22414e35 + 1.22414e35i 0.492981 + 0.492981i 0.909244 0.416263i \(-0.136661\pi\)
−0.416263 + 0.909244i \(0.636661\pi\)
\(164\) 8.26532e34i 0.301827i
\(165\) 2.73182e35 1.59615e35i 0.905124 0.528848i
\(166\) −8.30767e34 −0.249891
\(167\) −1.95331e35 + 1.95331e35i −0.533712 + 0.533712i −0.921675 0.387963i \(-0.873179\pi\)
0.387963 + 0.921675i \(0.373179\pi\)
\(168\) −1.72532e35 1.72532e35i −0.428470 0.428470i
\(169\) 8.73249e35i 1.97220i
\(170\) 1.25506e35 + 3.29329e34i 0.257918 + 0.0676780i
\(171\) 8.33386e34 0.155922
\(172\) 6.25216e35 6.25216e35i 1.06555 1.06555i
\(173\) −4.25483e35 4.25483e35i −0.660913 0.660913i 0.294682 0.955595i \(-0.404786\pi\)
−0.955595 + 0.294682i \(0.904786\pi\)
\(174\) 8.61400e34i 0.122016i
\(175\) 9.65426e35 2.69443e35i 1.24770 0.348223i
\(176\) −5.34854e35 −0.631005
\(177\) −7.80806e35 + 7.80806e35i −0.841338 + 0.841338i
\(178\) 7.32885e34 + 7.32885e34i 0.0721632 + 0.0721632i
\(179\) 9.99817e35i 0.900061i 0.893013 + 0.450031i \(0.148587\pi\)
−0.893013 + 0.450031i \(0.851413\pi\)
\(180\) 4.17801e35 1.59222e36i 0.344041 1.31113i
\(181\) −4.23579e35 −0.319211 −0.159605 0.987181i \(-0.551022\pi\)
−0.159605 + 0.987181i \(0.551022\pi\)
\(182\) 3.50486e35 3.50486e35i 0.241840 0.241840i
\(183\) −1.78448e36 1.78448e36i −1.12796 1.12796i
\(184\) 8.52253e34i 0.0493723i
\(185\) −1.41944e36 2.42938e36i −0.753999 1.29047i
\(186\) 1.30176e35 0.0634345
\(187\) −1.86744e36 + 1.86744e36i −0.835181 + 0.835181i
\(188\) −6.12745e34 6.12745e34i −0.0251625 0.0251625i
\(189\) 2.05929e36i 0.776836i
\(190\) −4.28435e34 + 2.50327e34i −0.0148535 + 0.00867862i
\(191\) 5.31256e36 1.69344 0.846721 0.532037i \(-0.178573\pi\)
0.846721 + 0.532037i \(0.178573\pi\)
\(192\) −3.21250e36 + 3.21250e36i −0.941939 + 0.941939i
\(193\) −2.64739e36 2.64739e36i −0.714334 0.714334i 0.253105 0.967439i \(-0.418548\pi\)
−0.967439 + 0.253105i \(0.918548\pi\)
\(194\) 6.90892e35i 0.171626i
\(195\) 1.12631e37 + 2.95544e36i 2.57693 + 0.676190i
\(196\) 3.14072e36 0.662113
\(197\) −1.01234e36 + 1.01234e36i −0.196728 + 0.196728i −0.798596 0.601868i \(-0.794423\pi\)
0.601868 + 0.798596i \(0.294423\pi\)
\(198\) −5.68994e35 5.68994e35i −0.101968 0.101968i
\(199\) 8.46667e36i 1.39979i −0.714245 0.699896i \(-0.753230\pi\)
0.714245 0.699896i \(-0.246770\pi\)
\(200\) 5.33278e35 + 1.91076e36i 0.0813718 + 0.291559i
\(201\) 5.29156e35 0.0745499
\(202\) −9.38590e35 + 9.38590e35i −0.122139 + 0.122139i
\(203\) −3.92741e36 3.92741e36i −0.472247 0.472247i
\(204\) 2.36392e37i 2.62754i
\(205\) −7.63192e35 + 2.90849e36i −0.0784462 + 0.298955i
\(206\) 7.35035e35 0.0698928
\(207\) −1.81924e36 + 1.81924e36i −0.160090 + 0.160090i
\(208\) −1.39190e37 1.39190e37i −1.13395 1.13395i
\(209\) 1.00995e36i 0.0762007i
\(210\) −2.21250e36 3.78669e36i −0.154659 0.264698i
\(211\) 2.82040e37 1.82722 0.913612 0.406587i \(-0.133281\pi\)
0.913612 + 0.406587i \(0.133281\pi\)
\(212\) −6.76010e35 + 6.76010e35i −0.0406050 + 0.0406050i
\(213\) −1.20580e37 1.20580e37i −0.671742 0.671742i
\(214\) 1.50009e36i 0.0775346i
\(215\) 2.77738e37 1.62277e37i 1.33236 0.778472i
\(216\) −4.07573e36 −0.181529
\(217\) −5.93518e36 + 5.93518e36i −0.245515 + 0.245515i
\(218\) −1.42388e36 1.42388e36i −0.0547230 0.0547230i
\(219\) 2.44457e36i 0.0873166i
\(220\) −1.92956e37 5.06319e36i −0.640760 0.168136i
\(221\) −9.71962e37 −3.00174
\(222\) −8.70538e36 + 8.70538e36i −0.250115 + 0.250115i
\(223\) 1.30695e37 + 1.30695e37i 0.349446 + 0.349446i 0.859903 0.510457i \(-0.170524\pi\)
−0.510457 + 0.859903i \(0.670524\pi\)
\(224\) 2.31675e37i 0.576647i
\(225\) 2.94041e37 5.21711e37i 0.681535 1.20923i
\(226\) 8.05454e36 0.173902
\(227\) 1.43770e37 1.43770e37i 0.289238 0.289238i −0.547541 0.836779i \(-0.684436\pi\)
0.836779 + 0.547541i \(0.184436\pi\)
\(228\) −6.39228e36 6.39228e36i −0.119867 0.119867i
\(229\) 3.75566e37i 0.656626i 0.944569 + 0.328313i \(0.106480\pi\)
−0.944569 + 0.328313i \(0.893520\pi\)
\(230\) 3.88802e35 1.48171e36i 0.00633991 0.0241611i
\(231\) 8.92637e37 1.35795
\(232\) 7.77308e36 7.77308e36i 0.110353 0.110353i
\(233\) 9.07091e37 + 9.07091e37i 1.20214 + 1.20214i 0.973514 + 0.228629i \(0.0734242\pi\)
0.228629 + 0.973514i \(0.426576\pi\)
\(234\) 2.96149e37i 0.366485i
\(235\) −1.59041e36 2.72198e36i −0.0183833 0.0314630i
\(236\) 6.96221e37 0.751891
\(237\) −3.04115e37 + 3.04115e37i −0.306948 + 0.306948i
\(238\) 2.58854e37 + 2.58854e37i 0.244244 + 0.244244i
\(239\) 2.98424e37i 0.263310i 0.991296 + 0.131655i \(0.0420292\pi\)
−0.991296 + 0.131655i \(0.957971\pi\)
\(240\) −1.50383e38 + 8.78659e37i −1.24113 + 0.725171i
\(241\) −3.70032e37 −0.285737 −0.142868 0.989742i \(-0.545633\pi\)
−0.142868 + 0.989742i \(0.545633\pi\)
\(242\) 8.08892e36 8.08892e36i 0.0584581 0.0584581i
\(243\) −1.37190e38 1.37190e38i −0.928159 0.928159i
\(244\) 1.59117e38i 1.00804i
\(245\) 1.10519e38 + 2.90003e37i 0.655813 + 0.172086i
\(246\) 1.31570e37 0.0731469
\(247\) 2.62829e37 2.62829e37i 0.136937 0.136937i
\(248\) −1.17468e37 1.17468e37i −0.0573712 0.0573712i
\(249\) 5.50625e38i 2.52154i
\(250\) 5.54476e35 + 3.56529e37i 0.00238146 + 0.153128i
\(251\) −2.91728e38 −1.17544 −0.587718 0.809066i \(-0.699974\pi\)
−0.587718 + 0.809066i \(0.699974\pi\)
\(252\) 3.28394e38 3.28394e38i 1.24161 1.24161i
\(253\) 2.20468e37 + 2.20468e37i 0.0782377 + 0.0782377i
\(254\) 5.50841e37i 0.183521i
\(255\) −2.18276e38 + 8.31842e38i −0.682910 + 2.60254i
\(256\) 2.63250e38 0.773623
\(257\) −2.49201e38 + 2.49201e38i −0.688049 + 0.688049i −0.961800 0.273751i \(-0.911735\pi\)
0.273751 + 0.961800i \(0.411735\pi\)
\(258\) −9.95240e37 9.95240e37i −0.258233 0.258233i
\(259\) 7.93814e38i 1.93608i
\(260\) −3.70383e38 6.33911e38i −0.849332 1.45363i
\(261\) −3.31853e38 −0.715644
\(262\) 9.20256e37 9.20256e37i 0.186676 0.186676i
\(263\) 5.70919e38 + 5.70919e38i 1.08964 + 1.08964i 0.995565 + 0.0940739i \(0.0299890\pi\)
0.0940739 + 0.995565i \(0.470011\pi\)
\(264\) 1.76670e38i 0.317321i
\(265\) −3.00302e37 + 1.75461e37i −0.0507721 + 0.0296652i
\(266\) −1.39994e37 −0.0222845
\(267\) −4.85749e38 + 4.85749e38i −0.728169 + 0.728169i
\(268\) −2.35916e37 2.35916e37i −0.0333121 0.0333121i
\(269\) 2.51868e38i 0.335071i 0.985866 + 0.167536i \(0.0535809\pi\)
−0.985866 + 0.167536i \(0.946419\pi\)
\(270\) −7.08597e37 1.85937e37i −0.0888340 0.0233101i
\(271\) −2.08963e38 −0.246922 −0.123461 0.992349i \(-0.539399\pi\)
−0.123461 + 0.992349i \(0.539399\pi\)
\(272\) 1.02800e39 1.02800e39i 1.14522 1.14522i
\(273\) 2.32299e39 + 2.32299e39i 2.44031 + 2.44031i
\(274\) 1.10994e38i 0.109974i
\(275\) −6.32243e38 3.56338e38i −0.590964 0.333073i
\(276\) 2.79081e38 0.246142
\(277\) 8.79489e38 8.79489e38i 0.732072 0.732072i −0.238958 0.971030i \(-0.576806\pi\)
0.971030 + 0.238958i \(0.0768057\pi\)
\(278\) −6.49607e37 6.49607e37i −0.0510427 0.0510427i
\(279\) 5.01502e38i 0.372054i
\(280\) −1.42052e38 + 5.41354e38i −0.0995218 + 0.379274i
\(281\) −1.51613e39 −1.00331 −0.501654 0.865068i \(-0.667275\pi\)
−0.501654 + 0.865068i \(0.667275\pi\)
\(282\) −9.75389e36 + 9.75389e36i −0.00609807 + 0.00609807i
\(283\) −7.58472e38 7.58472e38i −0.448081 0.448081i 0.446635 0.894716i \(-0.352622\pi\)
−0.894716 + 0.446635i \(0.852622\pi\)
\(284\) 1.07518e39i 0.600326i
\(285\) −1.65915e38 2.83963e38i −0.0875723 0.149880i
\(286\) −3.58892e38 −0.179105
\(287\) −5.99872e38 + 5.99872e38i −0.283106 + 0.283106i
\(288\) 9.78787e38 + 9.78787e38i 0.436926 + 0.436926i
\(289\) 4.81058e39i 2.03157i
\(290\) 1.70602e38 9.96798e37i 0.0681736 0.0398327i
\(291\) −4.57917e39 −1.73180
\(292\) −1.08988e38 + 1.08988e38i −0.0390168 + 0.0390168i
\(293\) −7.67115e38 7.67115e38i −0.260003 0.260003i 0.565052 0.825055i \(-0.308856\pi\)
−0.825055 + 0.565052i \(0.808856\pi\)
\(294\) 4.99950e38i 0.160461i
\(295\) 2.44994e39 + 6.42867e38i 0.744737 + 0.195420i
\(296\) 1.57111e39 0.452417
\(297\) 1.05434e39 1.05434e39i 0.287659 0.287659i
\(298\) −2.13783e38 2.13783e38i −0.0552731 0.0552731i
\(299\) 1.14749e39i 0.281196i
\(300\) −6.25703e39 + 1.74629e39i −1.45354 + 0.405673i
\(301\) 9.07525e39 1.99892
\(302\) 4.65023e37 4.65023e37i 0.00971323 0.00971323i
\(303\) −6.22089e39 6.22089e39i −1.23245 1.23245i
\(304\) 5.55963e38i 0.104488i
\(305\) −1.46923e39 + 5.59918e39i −0.261995 + 0.998452i
\(306\) 2.18723e39 0.370128
\(307\) 2.83542e39 2.83542e39i 0.455411 0.455411i −0.441735 0.897146i \(-0.645637\pi\)
0.897146 + 0.441735i \(0.145637\pi\)
\(308\) −3.97969e39 3.97969e39i −0.606789 0.606789i
\(309\) 4.87174e39i 0.705259i
\(310\) −1.50638e38 2.57817e38i −0.0207085 0.0354426i
\(311\) 2.65133e38 0.0346177 0.0173088 0.999850i \(-0.494490\pi\)
0.0173088 + 0.999850i \(0.494490\pi\)
\(312\) −4.59764e39 + 4.59764e39i −0.570245 + 0.570245i
\(313\) 8.24421e39 + 8.24421e39i 0.971493 + 0.971493i 0.999605 0.0281114i \(-0.00894932\pi\)
−0.0281114 + 0.999605i \(0.508949\pi\)
\(314\) 9.46659e38i 0.106003i
\(315\) 1.45882e40 8.52361e39i 1.55250 0.907099i
\(316\) 2.71170e39 0.274315
\(317\) −1.40618e40 + 1.40618e40i −1.35236 + 1.35236i −0.469353 + 0.883011i \(0.655513\pi\)
−0.883011 + 0.469353i \(0.844487\pi\)
\(318\) 1.07610e38 + 1.07610e38i 0.00984050 + 0.00984050i
\(319\) 4.02160e39i 0.349742i
\(320\) 1.00799e40 + 2.64497e39i 0.833787 + 0.218787i
\(321\) 9.94243e39 0.782370
\(322\) 3.05600e38 3.05600e38i 0.0228802 0.0228802i
\(323\) 1.94114e39 + 1.94114e39i 0.138298 + 0.138298i
\(324\) 6.64400e39i 0.450515i
\(325\) −7.18013e39 2.57268e40i −0.463446 1.66055i
\(326\) −1.73754e39 −0.106771
\(327\) 9.43735e39 9.43735e39i 0.552187 0.552187i
\(328\) −1.18726e39 1.18726e39i −0.0661553 0.0661553i
\(329\) 8.89424e38i 0.0472035i
\(330\) −8.05975e38 + 3.07154e39i −0.0407473 + 0.155286i
\(331\) −9.25577e39 −0.445825 −0.222913 0.974838i \(-0.571556\pi\)
−0.222913 + 0.974838i \(0.571556\pi\)
\(332\) −2.45488e40 + 2.45488e40i −1.12673 + 1.12673i
\(333\) −3.35373e40 3.35373e40i −1.46697 1.46697i
\(334\) 2.77251e39i 0.115592i
\(335\) −6.12331e38 1.04801e39i −0.0243371 0.0416530i
\(336\) −4.91384e40 −1.86205
\(337\) 2.98555e40 2.98555e40i 1.07881 1.07881i 0.0821975 0.996616i \(-0.473806\pi\)
0.996616 0.0821975i \(-0.0261938\pi\)
\(338\) −6.19741e39 6.19741e39i −0.213571 0.213571i
\(339\) 5.33847e40i 1.75478i
\(340\) 4.68180e40 2.73549e40i 1.46808 0.857774i
\(341\) 6.07753e39 0.181826
\(342\) −5.91450e38 + 5.91450e38i −0.0168850 + 0.0168850i
\(343\) −1.08249e40 1.08249e40i −0.294930 0.294930i
\(344\) 1.79616e40i 0.467101i
\(345\) 9.82062e39 + 2.57694e39i 0.243800 + 0.0639734i
\(346\) 6.03927e39 0.143142
\(347\) 1.11720e40 1.11720e40i 0.252847 0.252847i −0.569290 0.822137i \(-0.692782\pi\)
0.822137 + 0.569290i \(0.192782\pi\)
\(348\) 2.54540e40 + 2.54540e40i 0.550158 + 0.550158i
\(349\) 2.84935e40i 0.588218i −0.955772 0.294109i \(-0.904977\pi\)
0.955772 0.294109i \(-0.0950229\pi\)
\(350\) −4.93936e39 + 8.76381e39i −0.0974052 + 0.172824i
\(351\) 5.48762e40 1.03388
\(352\) 1.18616e40 1.18616e40i 0.213530 0.213530i
\(353\) −4.16523e40 4.16523e40i −0.716546 0.716546i 0.251350 0.967896i \(-0.419125\pi\)
−0.967896 + 0.251350i \(0.919125\pi\)
\(354\) 1.10827e40i 0.182219i
\(355\) −9.92782e39 + 3.78345e40i −0.156027 + 0.594614i
\(356\) 4.33128e40 0.650753
\(357\) −1.71566e41 + 1.71566e41i −2.46456 + 2.46456i
\(358\) −7.09565e39 7.09565e39i −0.0974684 0.0974684i
\(359\) 7.75800e40i 1.01915i 0.860426 + 0.509576i \(0.170198\pi\)
−0.860426 + 0.509576i \(0.829802\pi\)
\(360\) 1.68698e40 + 2.88727e40i 0.211968 + 0.362784i
\(361\) 8.21486e40 0.987382
\(362\) 3.00612e39 3.00612e39i 0.0345676 0.0345676i
\(363\) 5.36126e40 + 5.36126e40i 0.589876 + 0.589876i
\(364\) 2.07134e41i 2.18087i
\(365\) −4.84153e39 + 2.82882e39i −0.0487862 + 0.0285049i
\(366\) 2.53288e40 0.244296
\(367\) 1.41573e41 1.41573e41i 1.30715 1.30715i 0.383679 0.923466i \(-0.374657\pi\)
0.923466 0.383679i \(-0.125343\pi\)
\(368\) −1.21364e40 1.21364e40i −0.107282 0.107282i
\(369\) 5.06872e40i 0.429019i
\(370\) 2.73149e40 + 7.16747e39i 0.221397 + 0.0580949i
\(371\) −9.81256e39 −0.0761727
\(372\) 3.84665e40 3.84665e40i 0.286020 0.286020i
\(373\) 1.36751e40 + 1.36751e40i 0.0974070 + 0.0974070i 0.754131 0.656724i \(-0.228058\pi\)
−0.656724 + 0.754131i \(0.728058\pi\)
\(374\) 2.65063e40i 0.180885i
\(375\) −2.36304e41 + 3.67502e39i −1.54515 + 0.0240303i
\(376\) 1.76034e39 0.0110304
\(377\) −1.04658e41 + 1.04658e41i −0.628507 + 0.628507i
\(378\) −1.46147e40 1.46147e40i −0.0841243 0.0841243i
\(379\) 1.18815e41i 0.655607i 0.944746 + 0.327803i \(0.106308\pi\)
−0.944746 + 0.327803i \(0.893692\pi\)
\(380\) −5.26301e39 + 2.00571e40i −0.0278417 + 0.106104i
\(381\) −3.65092e41 −1.85184
\(382\) −3.77030e40 + 3.77030e40i −0.183384 + 0.183384i
\(383\) −1.67057e41 1.67057e41i −0.779263 0.779263i 0.200442 0.979705i \(-0.435762\pi\)
−0.979705 + 0.200442i \(0.935762\pi\)
\(384\) 1.99355e41i 0.891924i
\(385\) −1.03295e41 1.76789e41i −0.443308 0.758722i
\(386\) 3.75768e40 0.154712
\(387\) 3.83414e41 3.83414e41i 1.51458 1.51458i
\(388\) 2.04155e41 + 2.04155e41i 0.773843 + 0.773843i
\(389\) 1.48996e40i 0.0541976i −0.999633 0.0270988i \(-0.991373\pi\)
0.999633 0.0270988i \(-0.00862687\pi\)
\(390\) −1.00908e41 + 5.89589e40i −0.352284 + 0.205833i
\(391\) −8.47484e40 −0.283990
\(392\) −4.51144e40 + 4.51144e40i −0.145124 + 0.145124i
\(393\) 6.09937e41 + 6.09937e41i 1.88367 + 1.88367i
\(394\) 1.43690e40i 0.0426077i
\(395\) 9.54224e40 + 2.50389e40i 0.271705 + 0.0712956i
\(396\) −3.36270e41 −0.919529
\(397\) 3.39786e41 3.39786e41i 0.892396 0.892396i −0.102352 0.994748i \(-0.532637\pi\)
0.994748 + 0.102352i \(0.0326368\pi\)
\(398\) 6.00876e40 + 6.00876e40i 0.151585 + 0.151585i
\(399\) 9.27865e40i 0.224863i
\(400\) 3.48041e41 + 1.96159e41i 0.810345 + 0.456718i
\(401\) −4.80069e41 −1.07397 −0.536987 0.843590i \(-0.680438\pi\)
−0.536987 + 0.843590i \(0.680438\pi\)
\(402\) −3.75540e39 + 3.75540e39i −0.00807308 + 0.00807308i
\(403\) 1.58161e41 + 1.58161e41i 0.326753 + 0.326753i
\(404\) 5.54698e41i 1.10142i
\(405\) −6.13484e40 + 2.33796e41i −0.117091 + 0.446228i
\(406\) 5.57452e40 0.102280
\(407\) −4.06427e41 + 4.06427e41i −0.716922 + 0.716922i
\(408\) −3.39562e41 3.39562e41i −0.575912 0.575912i
\(409\) 8.18705e41i 1.33523i −0.744509 0.667613i \(-0.767316\pi\)
0.744509 0.667613i \(-0.232684\pi\)
\(410\) −1.52251e40 2.60578e40i −0.0238791 0.0408692i
\(411\) 7.35655e41 1.10970
\(412\) 2.17199e41 2.17199e41i 0.315140 0.315140i
\(413\) 5.05296e41 + 5.05296e41i 0.705254 + 0.705254i
\(414\) 2.58222e40i 0.0346727i
\(415\) −1.09052e42 + 6.37175e41i −1.40885 + 0.823169i
\(416\) 6.17369e41 0.767452
\(417\) 4.30553e41 4.30553e41i 0.515051 0.515051i
\(418\) 7.16757e39 + 7.16757e39i 0.00825185 + 0.00825185i
\(419\) 3.60887e41i 0.399896i −0.979807 0.199948i \(-0.935923\pi\)
0.979807 0.199948i \(-0.0640773\pi\)
\(420\) −1.77273e42 4.65167e41i −1.89084 0.496158i
\(421\) 3.67988e41 0.377850 0.188925 0.981991i \(-0.439500\pi\)
0.188925 + 0.981991i \(0.439500\pi\)
\(422\) −2.00163e41 + 2.00163e41i −0.197872 + 0.197872i
\(423\) −3.75767e40 3.75767e40i −0.0357662 0.0357662i
\(424\) 1.94209e40i 0.0177998i
\(425\) 1.90007e42 5.30294e41i 1.67705 0.468052i
\(426\) 1.71150e41 0.145487
\(427\) −1.15482e42 + 1.15482e42i −0.945517 + 0.945517i
\(428\) −4.43268e41 4.43268e41i −0.349596 0.349596i
\(429\) 2.37871e42i 1.80727i
\(430\) −8.19418e40 + 3.12277e41i −0.0599805 + 0.228583i
\(431\) −1.24481e42 −0.877944 −0.438972 0.898501i \(-0.644657\pi\)
−0.438972 + 0.898501i \(0.644657\pi\)
\(432\) −5.80400e41 + 5.80400e41i −0.394446 + 0.394446i
\(433\) −1.38645e42 1.38645e42i −0.908023 0.908023i 0.0880895 0.996113i \(-0.471924\pi\)
−0.996113 + 0.0880895i \(0.971924\pi\)
\(434\) 8.42433e40i 0.0531741i
\(435\) 6.60669e41 + 1.13074e42i 0.401935 + 0.687912i
\(436\) −8.41500e41 −0.493481
\(437\) 2.29168e40 2.29168e40i 0.0129554 0.0129554i
\(438\) 1.73490e40 + 1.73490e40i 0.00945560 + 0.00945560i
\(439\) 3.05218e41i 0.160390i −0.996779 0.0801952i \(-0.974446\pi\)
0.996779 0.0801952i \(-0.0255544\pi\)
\(440\) 3.49898e41 2.04439e41i 0.177296 0.103591i
\(441\) 1.92605e42 0.941131
\(442\) 6.89797e41 6.89797e41i 0.325061 0.325061i
\(443\) −1.39251e42 1.39251e42i −0.632906 0.632906i 0.315890 0.948796i \(-0.397697\pi\)
−0.948796 + 0.315890i \(0.897697\pi\)
\(444\) 5.14480e42i 2.25549i
\(445\) 1.52414e42 + 3.99936e41i 0.644562 + 0.169134i
\(446\) −1.85507e41 −0.0756838
\(447\) 1.41694e42 1.41694e42i 0.557738 0.557738i
\(448\) 2.07896e42 + 2.07896e42i 0.789582 + 0.789582i
\(449\) 3.83257e42i 1.40459i 0.711887 + 0.702294i \(0.247841\pi\)
−0.711887 + 0.702294i \(0.752159\pi\)
\(450\) 1.61576e41 + 5.78936e41i 0.0571449 + 0.204753i
\(451\) 6.14260e41 0.209666
\(452\) 2.38008e42 2.38008e42i 0.784109 0.784109i
\(453\) 3.08213e41 + 3.08213e41i 0.0980121 + 0.0980121i
\(454\) 2.04066e41i 0.0626436i
\(455\) 1.91261e42 7.28886e42i 0.566817 2.16012i
\(456\) 1.83642e41 0.0525454
\(457\) −3.65794e42 + 3.65794e42i −1.01059 + 1.01059i −0.0106511 + 0.999943i \(0.503390\pi\)
−0.999943 + 0.0106511i \(0.996610\pi\)
\(458\) −2.66537e41 2.66537e41i −0.0711066 0.0711066i
\(459\) 4.05292e42i 1.04416i
\(460\) −3.22949e41 5.52727e41i −0.0803541 0.137526i
\(461\) −4.44456e42 −1.06811 −0.534053 0.845451i \(-0.679332\pi\)
−0.534053 + 0.845451i \(0.679332\pi\)
\(462\) −6.33500e41 + 6.33500e41i −0.147053 + 0.147053i
\(463\) 3.29200e42 + 3.29200e42i 0.738183 + 0.738183i 0.972226 0.234043i \(-0.0751956\pi\)
−0.234043 + 0.972226i \(0.575196\pi\)
\(464\) 2.21383e42i 0.479576i
\(465\) 1.70879e42 9.98416e41i 0.357636 0.208961i
\(466\) −1.28752e42 −0.260362
\(467\) −2.22020e42 + 2.22020e42i −0.433832 + 0.433832i −0.889930 0.456098i \(-0.849247\pi\)
0.456098 + 0.889930i \(0.349247\pi\)
\(468\) −8.75107e42 8.75107e42i −1.65245 1.65245i
\(469\) 3.42442e41i 0.0624916i
\(470\) 3.06048e40 + 8.03074e39i 0.00539790 + 0.00141641i
\(471\) 6.27437e42 1.06963
\(472\) −1.00008e42 + 1.00008e42i −0.164802 + 0.164802i
\(473\) −4.64646e42 4.64646e42i −0.740191 0.740191i
\(474\) 4.31658e41i 0.0664793i
\(475\) −3.70401e41 + 6.57195e41i −0.0551537 + 0.0978580i
\(476\) 1.52980e43 2.20254
\(477\) −4.14564e41 + 4.14564e41i −0.0577162 + 0.0577162i
\(478\) −2.11790e41 2.11790e41i −0.0285141 0.0285141i
\(479\) 8.47094e41i 0.110297i 0.998478 + 0.0551484i \(0.0175632\pi\)
−0.998478 + 0.0551484i \(0.982437\pi\)
\(480\) 1.38644e42 5.28368e42i 0.174599 0.665390i
\(481\) −2.11536e43 −2.57670
\(482\) 2.62610e41 2.62610e41i 0.0309427 0.0309427i
\(483\) 2.02549e42 + 2.02549e42i 0.230874 + 0.230874i
\(484\) 4.78048e42i 0.527163i
\(485\) 5.29894e42 + 9.06914e42i 0.565355 + 0.967606i
\(486\) 1.94726e42 0.201022
\(487\) −9.87049e42 + 9.87049e42i −0.985996 + 0.985996i −0.999903 0.0139070i \(-0.995573\pi\)
0.0139070 + 0.999903i \(0.495573\pi\)
\(488\) −2.28561e42 2.28561e42i −0.220946 0.220946i
\(489\) 1.15162e43i 1.07738i
\(490\) −9.90163e41 + 5.78535e41i −0.0896539 + 0.0523832i
\(491\) 1.85335e43 1.62425 0.812125 0.583483i \(-0.198311\pi\)
0.812125 + 0.583483i \(0.198311\pi\)
\(492\) 3.88784e42 3.88784e42i 0.329812 0.329812i
\(493\) −7.72958e42 7.72958e42i −0.634754 0.634754i
\(494\) 3.73056e41i 0.0296581i
\(495\) −1.18330e43 3.10500e42i −0.910780 0.238990i
\(496\) −3.34559e42 −0.249325
\(497\) −7.80332e42 + 7.80332e42i −0.563089 + 0.563089i
\(498\) 3.90776e42 + 3.90776e42i 0.273060 + 0.273060i
\(499\) 2.37069e43i 1.60423i 0.597170 + 0.802115i \(0.296292\pi\)
−0.597170 + 0.802115i \(0.703708\pi\)
\(500\) 1.06991e43 + 1.03714e43i 0.701177 + 0.679701i
\(501\) 1.83759e43 1.16639
\(502\) 2.07038e42 2.07038e42i 0.127289 0.127289i
\(503\) 4.52928e42 + 4.52928e42i 0.269738 + 0.269738i 0.828994 0.559257i \(-0.188913\pi\)
−0.559257 + 0.828994i \(0.688913\pi\)
\(504\) 9.43433e42i 0.544280i
\(505\) −5.12189e42 + 1.95193e43i −0.286265 + 1.09094i
\(506\) −3.12930e41 −0.0169449
\(507\) 4.10758e43 4.10758e43i 2.15506 2.15506i
\(508\) 1.62771e43 + 1.62771e43i 0.827479 + 0.827479i
\(509\) 2.95053e43i 1.45350i −0.686900 0.726752i \(-0.741029\pi\)
0.686900 0.726752i \(-0.258971\pi\)
\(510\) −4.35445e42 7.45264e42i −0.207879 0.355785i
\(511\) −1.58200e42 −0.0731933
\(512\) −1.09697e43 + 1.09697e43i −0.491898 + 0.491898i
\(513\) −1.09595e42 1.09595e42i −0.0476336 0.0476336i
\(514\) 3.53713e42i 0.149019i
\(515\) 9.64859e42 5.63750e42i 0.394047 0.230235i
\(516\) −5.88177e43 −2.32870
\(517\) −4.55378e41 + 4.55378e41i −0.0174793 + 0.0174793i
\(518\) 5.63366e42 + 5.63366e42i 0.209660 + 0.209660i
\(519\) 4.00277e43i 1.44438i
\(520\) 1.44260e43 + 3.78541e42i 0.504770 + 0.132452i
\(521\) −5.20733e43 −1.76690 −0.883449 0.468528i \(-0.844784\pi\)
−0.883449 + 0.468528i \(0.844784\pi\)
\(522\) 2.35514e42 2.35514e42i 0.0774978 0.0774978i
\(523\) 8.98796e42 + 8.98796e42i 0.286836 + 0.286836i 0.835828 0.548992i \(-0.184988\pi\)
−0.548992 + 0.835828i \(0.684988\pi\)
\(524\) 5.43863e43i 1.68341i
\(525\) −5.80857e43 3.27376e43i −1.74390 0.982875i
\(526\) −8.10358e42 −0.235996
\(527\) −1.16811e43 + 1.16811e43i −0.330000 + 0.330000i
\(528\) 2.51585e43 + 2.51585e43i 0.689511 + 0.689511i
\(529\) 3.66084e43i 0.973396i
\(530\) 8.85990e40 3.37647e41i 0.00228568 0.00871063i
\(531\) 4.26958e43 1.06874
\(532\) −4.13675e42 + 4.13675e42i −0.100478 + 0.100478i
\(533\) 1.59854e43 + 1.59854e43i 0.376781 + 0.376781i
\(534\) 6.89468e42i 0.157708i
\(535\) −1.15052e43 1.96912e43i −0.255408 0.437131i
\(536\) 6.77757e41 0.0146029
\(537\) 4.70293e43 4.70293e43i 0.983514 0.983514i
\(538\) −1.78750e42 1.78750e42i −0.0362851 0.0362851i
\(539\) 2.33411e43i 0.459940i
\(540\) −2.64331e43 + 1.54444e43i −0.505647 + 0.295441i
\(541\) 4.33440e43 0.804957 0.402478 0.915429i \(-0.368149\pi\)
0.402478 + 0.915429i \(0.368149\pi\)
\(542\) 1.48300e42 1.48300e42i 0.0267395 0.0267395i
\(543\) 1.99243e43 + 1.99243e43i 0.348807 + 0.348807i
\(544\) 4.55962e43i 0.775080i
\(545\) −2.96116e43 7.77013e42i −0.488786 0.128258i
\(546\) −3.29723e43 −0.528527
\(547\) −2.48838e43 + 2.48838e43i −0.387364 + 0.387364i −0.873746 0.486382i \(-0.838316\pi\)
0.486382 + 0.873746i \(0.338316\pi\)
\(548\) −3.27981e43 3.27981e43i −0.495860 0.495860i
\(549\) 9.75786e43i 1.43284i
\(550\) 7.01591e42 1.95809e42i 0.100065 0.0279273i
\(551\) 4.18032e42 0.0579140
\(552\) −4.00882e42 + 4.00882e42i −0.0539500 + 0.0539500i
\(553\) 1.96807e43 + 1.96807e43i 0.257300 + 0.257300i
\(554\) 1.24834e43i 0.158554i
\(555\) −4.75053e43 + 1.81041e44i −0.586212 + 2.23403i
\(556\) −3.83912e43 −0.460293
\(557\) 7.53822e43 7.53822e43i 0.878184 0.878184i −0.115163 0.993347i \(-0.536739\pi\)
0.993347 + 0.115163i \(0.0367389\pi\)
\(558\) −3.55914e42 3.55914e42i −0.0402901 0.0402901i
\(559\) 2.41838e44i 2.66033i
\(560\) 5.68622e43 + 9.73196e43i 0.607876 + 1.04038i
\(561\) 1.75681e44 1.82524
\(562\) 1.07599e43 1.07599e43i 0.108649 0.108649i
\(563\) 7.41872e43 + 7.41872e43i 0.728106 + 0.728106i 0.970242 0.242137i \(-0.0778482\pi\)
−0.242137 + 0.970242i \(0.577848\pi\)
\(564\) 5.76446e42i 0.0549911i
\(565\) 1.05730e44 6.17760e43i 0.980441 0.572855i
\(566\) 1.07657e43 0.0970462
\(567\) −4.82201e43 + 4.82201e43i −0.422571 + 0.422571i
\(568\) −1.54442e43 1.54442e43i −0.131581 0.131581i
\(569\) 5.94303e42i 0.0492280i −0.999697 0.0246140i \(-0.992164\pi\)
0.999697 0.0246140i \(-0.00783567\pi\)
\(570\) 3.19276e42 + 8.37784e41i 0.0257139 + 0.00674736i
\(571\) −9.88482e43 −0.774090 −0.387045 0.922061i \(-0.626504\pi\)
−0.387045 + 0.922061i \(0.626504\pi\)
\(572\) −1.06051e44 + 1.06051e44i −0.807567 + 0.807567i
\(573\) −2.49892e44 2.49892e44i −1.85046 1.85046i
\(574\) 8.51453e42i 0.0613155i
\(575\) −6.26058e42 2.24320e43i −0.0438459 0.157102i
\(576\) 1.75665e44 1.19653
\(577\) −4.75070e43 + 4.75070e43i −0.314735 + 0.314735i −0.846741 0.532006i \(-0.821438\pi\)
0.532006 + 0.846741i \(0.321438\pi\)
\(578\) 3.41405e43 + 3.41405e43i 0.220001 + 0.220001i
\(579\) 2.49056e44i 1.56113i
\(580\) 2.09572e43 7.98671e43i 0.127787 0.486990i
\(581\) −3.56335e44 −2.11369
\(582\) 3.24981e43 3.24981e43i 0.187539 0.187539i
\(583\) 5.02395e42 + 5.02395e42i 0.0282065 + 0.0282065i
\(584\) 3.13107e42i 0.0171036i
\(585\) −2.27138e44 3.88747e44i −1.20725 2.06620i
\(586\) 1.08884e43 0.0563119
\(587\) 7.73947e43 7.73947e43i 0.389495 0.389495i −0.485013 0.874507i \(-0.661185\pi\)
0.874507 + 0.485013i \(0.161185\pi\)
\(588\) −1.47733e44 1.47733e44i −0.723503 0.723503i
\(589\) 6.31738e42i 0.0301087i
\(590\) −2.19495e43 + 1.28247e43i −0.101810 + 0.0594861i
\(591\) 9.52365e43 0.429936
\(592\) 2.23732e44 2.23732e44i 0.983062 0.983062i
\(593\) 1.91536e44 + 1.91536e44i 0.819171 + 0.819171i 0.985988 0.166817i \(-0.0533490\pi\)
−0.166817 + 0.985988i \(0.553349\pi\)
\(594\) 1.49652e43i 0.0623017i
\(595\) 5.38324e44 + 1.41257e44i 2.18159 + 0.572451i
\(596\) −1.26344e44 −0.498442
\(597\) −3.98255e44 + 3.98255e44i −1.52958 + 1.52958i
\(598\) −8.14366e42 8.14366e42i −0.0304509 0.0304509i
\(599\) 2.28716e44i 0.832659i 0.909214 + 0.416329i \(0.136684\pi\)
−0.909214 + 0.416329i \(0.863316\pi\)
\(600\) 6.47940e43 1.14963e44i 0.229675 0.407508i
\(601\) 2.35286e44 0.812089 0.406045 0.913853i \(-0.366908\pi\)
0.406045 + 0.913853i \(0.366908\pi\)
\(602\) −6.44067e43 + 6.44067e43i −0.216465 + 0.216465i
\(603\) −1.44676e43 1.44676e43i −0.0473499 0.0473499i
\(604\) 2.74824e43i 0.0875920i
\(605\) 4.41413e43 1.68221e44i 0.137012 0.522148i
\(606\) 8.82987e43 0.266927
\(607\) −3.64849e44 + 3.64849e44i −1.07422 + 1.07422i −0.0772063 + 0.997015i \(0.524600\pi\)
−0.997015 + 0.0772063i \(0.975400\pi\)
\(608\) −1.23297e43 1.23297e43i −0.0353586 0.0353586i
\(609\) 3.69474e44i 1.03207i
\(610\) −2.93101e43 5.01642e43i −0.0797516 0.136495i
\(611\) −2.37015e43 −0.0628226
\(612\) 6.46317e44 6.46317e44i 1.66887 1.66887i
\(613\) −1.17915e44 1.17915e44i −0.296621 0.296621i 0.543068 0.839689i \(-0.317263\pi\)
−0.839689 + 0.543068i \(0.817263\pi\)
\(614\) 4.02457e43i 0.0986337i
\(615\) 1.72709e44 1.00911e44i 0.412394 0.240954i
\(616\) 1.14331e44 0.265995
\(617\) −4.22198e44 + 4.22198e44i −0.957091 + 0.957091i −0.999117 0.0420252i \(-0.986619\pi\)
0.0420252 + 0.999117i \(0.486619\pi\)
\(618\) −3.45745e43 3.45745e43i −0.0763731 0.0763731i
\(619\) 3.95394e44i 0.851098i −0.904935 0.425549i \(-0.860081\pi\)
0.904935 0.425549i \(-0.139919\pi\)
\(620\) −1.20697e44 3.16710e43i −0.253179 0.0664346i
\(621\) 4.78483e43 0.0978139
\(622\) −1.88164e42 + 1.88164e42i −0.00374878 + 0.00374878i
\(623\) 3.14351e44 + 3.14351e44i 0.610389 + 0.610389i
\(624\) 1.30944e45i 2.47818i
\(625\) 2.80726e44 + 4.63753e44i 0.517848 + 0.855473i
\(626\) −1.17018e44 −0.210408
\(627\) −4.75060e43 + 4.75060e43i −0.0832660 + 0.0832660i
\(628\) −2.79733e44 2.79733e44i −0.477958 0.477958i
\(629\) 1.56232e45i 2.60231i
\(630\) −4.30399e43 + 1.64023e44i −0.0698911 + 0.266352i
\(631\) 7.17521e44 1.13596 0.567982 0.823041i \(-0.307724\pi\)
0.567982 + 0.823041i \(0.307724\pi\)
\(632\) −3.89519e43 + 3.89519e43i −0.0601250 + 0.0601250i
\(633\) −1.32666e45 1.32666e45i −1.99664 1.99664i
\(634\) 1.99592e44i 0.292897i
\(635\) 4.22479e44 + 7.23073e44i 0.604540 + 1.03467i
\(636\) 6.35963e43 0.0887397
\(637\) 6.07427e44 6.07427e44i 0.826539 0.826539i
\(638\) −2.85411e43 2.85411e43i −0.0378739 0.0378739i
\(639\) 6.59354e44i 0.853306i
\(640\) −3.94827e44 + 2.30691e44i −0.498342 + 0.291172i
\(641\) −5.22495e44 −0.643212 −0.321606 0.946874i \(-0.604223\pi\)
−0.321606 + 0.946874i \(0.604223\pi\)
\(642\) −7.05610e43 + 7.05610e43i −0.0847235 + 0.0847235i
\(643\) −9.54303e43 9.54303e43i −0.111766 0.111766i 0.649012 0.760778i \(-0.275182\pi\)
−0.760778 + 0.649012i \(0.775182\pi\)
\(644\) 1.80607e44i 0.206329i
\(645\) −2.06974e45 5.43103e44i −2.30654 0.605239i
\(646\) −2.75524e43 −0.0299529
\(647\) 3.59396e43 3.59396e43i 0.0381157 0.0381157i −0.687792 0.725908i \(-0.741420\pi\)
0.725908 + 0.687792i \(0.241420\pi\)
\(648\) −9.54367e43 9.54367e43i −0.0987451 0.0987451i
\(649\) 5.17415e44i 0.522305i
\(650\) 2.33539e44 + 1.31625e44i 0.230009 + 0.129635i
\(651\) 5.58357e44 0.536557
\(652\) −5.13434e44 + 5.13434e44i −0.481419 + 0.481419i
\(653\) 8.40400e44 + 8.40400e44i 0.768910 + 0.768910i 0.977915 0.209005i \(-0.0670225\pi\)
−0.209005 + 0.977915i \(0.567022\pi\)
\(654\) 1.33953e44i 0.119594i
\(655\) 5.02184e44 1.91380e45i 0.437525 1.66739i
\(656\) −3.38141e44 −0.287499
\(657\) −6.68367e43 + 6.68367e43i −0.0554587 + 0.0554587i
\(658\) 6.31220e42 + 6.31220e42i 0.00511172 + 0.00511172i
\(659\) 4.82839e44i 0.381624i −0.981627 0.190812i \(-0.938888\pi\)
0.981627 0.190812i \(-0.0611121\pi\)
\(660\) 6.69464e44 + 1.14579e45i 0.516445 + 0.883896i
\(661\) −1.23727e45 −0.931628 −0.465814 0.884883i \(-0.654238\pi\)
−0.465814 + 0.884883i \(0.654238\pi\)
\(662\) 6.56878e43 6.56878e43i 0.0482788 0.0482788i
\(663\) 4.57191e45 + 4.57191e45i 3.28006 + 3.28006i
\(664\) 7.05255e44i 0.493920i
\(665\) −1.83766e44 + 1.07371e44i −0.125637 + 0.0734076i
\(666\) 4.76026e44 0.317719
\(667\) −9.12545e43 + 9.12545e43i −0.0594622 + 0.0594622i
\(668\) −8.19262e44 8.19262e44i −0.521194 0.521194i
\(669\) 1.22952e45i 0.763693i
\(670\) 1.17833e43 + 3.09196e42i 0.00714614 + 0.00187515i
\(671\) 1.18252e45 0.700242
\(672\) 1.08975e45 1.08975e45i 0.630113 0.630113i
\(673\) 1.19050e45 + 1.19050e45i 0.672183 + 0.672183i 0.958219 0.286036i \(-0.0923377\pi\)
−0.286036 + 0.958219i \(0.592338\pi\)
\(674\) 4.23767e44i 0.233651i
\(675\) −1.07276e45 + 2.99400e44i −0.577622 + 0.161210i
\(676\) −3.66261e45 −1.92594
\(677\) 9.03188e44 9.03188e44i 0.463831 0.463831i −0.436078 0.899909i \(-0.643633\pi\)
0.899909 + 0.436078i \(0.143633\pi\)
\(678\) −3.78869e44 3.78869e44i −0.190026 0.190026i
\(679\) 2.96339e45i 1.45169i
\(680\) −2.79574e44 + 1.06545e45i −0.133769 + 0.509787i
\(681\) −1.35253e45 −0.632111
\(682\) −4.31319e43 + 4.31319e43i −0.0196901 + 0.0196901i
\(683\) −1.77118e45 1.77118e45i −0.789827 0.789827i 0.191639 0.981466i \(-0.438620\pi\)
−0.981466 + 0.191639i \(0.938620\pi\)
\(684\) 3.49541e44i 0.152265i
\(685\) −8.51288e44 1.45698e45i −0.362266 0.620019i
\(686\) 1.53648e44 0.0638765
\(687\) 1.76658e45 1.76658e45i 0.717507 0.717507i
\(688\) 2.55781e45 + 2.55781e45i 1.01497 + 1.01497i
\(689\) 2.61486e44i 0.101377i
\(690\) −8.79850e43 + 5.14081e43i −0.0333291 + 0.0194736i
\(691\) −6.30258e44 −0.233276 −0.116638 0.993175i \(-0.537212\pi\)
−0.116638 + 0.993175i \(0.537212\pi\)
\(692\) 1.78457e45 1.78457e45i 0.645412 0.645412i
\(693\) −2.44055e45 2.44055e45i −0.862493 0.862493i
\(694\) 1.58574e44i 0.0547622i
\(695\) −1.35095e45 3.54491e44i −0.455914 0.119632i
\(696\) −7.31259e44 −0.241170
\(697\) −1.18062e45 + 1.18062e45i −0.380526 + 0.380526i
\(698\) 2.02217e44 + 2.02217e44i 0.0636987 + 0.0636987i
\(699\) 8.53354e45i 2.62721i
\(700\) 1.13011e45 + 4.04922e45i 0.340056 + 1.21844i
\(701\) 3.24603e45 0.954695 0.477348 0.878714i \(-0.341598\pi\)
0.477348 + 0.878714i \(0.341598\pi\)
\(702\) −3.89454e44 + 3.89454e44i −0.111960 + 0.111960i
\(703\) 4.22467e44 + 4.22467e44i 0.118715 + 0.118715i
\(704\) 2.12882e45i 0.584758i
\(705\) −5.32270e43 + 2.02846e44i −0.0142924 + 0.0544679i
\(706\) 5.91210e44 0.155191
\(707\) −4.02583e45 + 4.02583e45i −1.03311 + 1.03311i
\(708\) −3.27488e45 3.27488e45i −0.821606 0.821606i
\(709\) 1.57466e45i 0.386231i 0.981176 + 0.193116i \(0.0618593\pi\)
−0.981176 + 0.193116i \(0.938141\pi\)
\(710\) −1.98053e44 3.38967e44i −0.0474949 0.0812876i
\(711\) 1.66296e45 0.389912
\(712\) −6.22161e44 + 6.22161e44i −0.142634 + 0.142634i
\(713\) 1.37906e44 + 1.37906e44i 0.0309136 + 0.0309136i
\(714\) 2.43519e45i 0.533780i
\(715\) −4.71108e45 + 2.75260e45i −1.00977 + 0.589993i
\(716\) −4.19347e45 −0.878951
\(717\) 1.40373e45 1.40373e45i 0.287724 0.287724i
\(718\) −5.50582e44 5.50582e44i −0.110365 0.110365i
\(719\) 3.33402e45i 0.653592i 0.945095 + 0.326796i \(0.105969\pi\)
−0.945095 + 0.326796i \(0.894031\pi\)
\(720\) 6.51392e45 + 1.70926e45i 1.24889 + 0.327709i
\(721\) 3.15273e45 0.591185
\(722\) −5.83005e44 + 5.83005e44i −0.106924 + 0.106924i
\(723\) 1.74055e45 + 1.74055e45i 0.312230 + 0.312230i
\(724\) 1.77659e45i 0.311724i
\(725\) 1.47493e45 2.61694e45i 0.253142 0.449144i
\(726\) −7.60972e44 −0.127756
\(727\) −5.07017e45 + 5.07017e45i −0.832668 + 0.832668i −0.987881 0.155213i \(-0.950394\pi\)
0.155213 + 0.987881i \(0.450394\pi\)
\(728\) 2.97535e45 + 2.97535e45i 0.478009 + 0.478009i
\(729\) 9.97095e45i 1.56710i
\(730\) 1.42841e43 5.44361e43i 0.00219628 0.00836992i
\(731\) 1.78611e46 2.68677
\(732\) 7.48454e45 7.48454e45i 1.10151 1.10151i
\(733\) −7.72941e44 7.72941e44i −0.111297 0.111297i 0.649265 0.760562i \(-0.275077\pi\)
−0.760562 + 0.649265i \(0.775077\pi\)
\(734\) 2.00948e45i 0.283104i
\(735\) −3.83448e45 6.56271e45i −0.528577 0.904660i
\(736\) 5.38303e44 0.0726076
\(737\) −1.75328e44 + 1.75328e44i −0.0231404 + 0.0231404i
\(738\) −3.59725e44 3.59725e44i −0.0464588 0.0464588i
\(739\) 1.08394e46i 1.36992i 0.728581 + 0.684959i \(0.240180\pi\)
−0.728581 + 0.684959i \(0.759820\pi\)
\(740\) 1.01894e46 5.95348e45i 1.26020 0.736315i
\(741\) −2.47258e45 −0.299268
\(742\) 6.96393e43 6.96393e43i 0.00824882 0.00824882i