Properties

Label 21.33.h.b.2.11
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 33 \)
Character orbit: \([\chi]\) \(=\) 21.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(136.219975799\)
Analytic rank: \(0\)
Dimension: \(164\)
Relative dimension: \(82\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-89987.0 - 51954.0i) q^{2} +(-1.34905e6 - 4.30256e7i) q^{3} +(3.25096e9 + 5.63082e9i) q^{4} +(2.01263e11 + 1.16199e11i) q^{5} +(-2.11396e12 + 3.94183e12i) q^{6} +(2.96316e13 - 1.50465e13i) q^{7} -2.29320e14i q^{8} +(-1.84938e15 + 1.16087e14i) q^{9} +O(q^{10})\) \(q+(-89987.0 - 51954.0i) q^{2} +(-1.34905e6 - 4.30256e7i) q^{3} +(3.25096e9 + 5.63082e9i) q^{4} +(2.01263e11 + 1.16199e11i) q^{5} +(-2.11396e12 + 3.94183e12i) q^{6} +(2.96316e13 - 1.50465e13i) q^{7} -2.29320e14i q^{8} +(-1.84938e15 + 1.16087e14i) q^{9} +(-1.20740e16 - 2.09128e16i) q^{10} +(2.24326e16 - 1.29515e16i) q^{11} +(2.37884e17 - 1.47471e17i) q^{12} +7.52921e17 q^{13} +(-3.44818e18 - 1.85491e17i) q^{14} +(4.72802e18 - 8.81621e18i) q^{15} +(2.04867e18 - 3.54840e18i) q^{16} +(6.31507e19 - 3.64601e19i) q^{17} +(1.72451e20 + 8.56364e19i) q^{18} +(1.80765e20 - 3.13095e20i) q^{19} +1.51103e21i q^{20} +(-6.87359e20 - 1.25462e21i) q^{21} -2.69152e21 q^{22} +(-9.36222e21 - 5.40528e21i) q^{23} +(-9.86662e21 + 3.09363e20i) q^{24} +(1.53629e22 + 2.66094e22i) q^{25} +(-6.77531e22 - 3.91173e22i) q^{26} +(7.48962e21 + 7.94140e22i) q^{27} +(1.81055e23 + 1.17935e23i) q^{28} +3.72386e22i q^{29} +(-8.83498e23 + 5.47704e23i) q^{30} +(1.08265e23 + 1.87520e23i) q^{31} +(-1.22167e24 + 7.05334e23i) q^{32} +(-5.87507e23 - 9.47703e23i) q^{33} -7.57699e24 q^{34} +(7.71212e24 + 4.14864e23i) q^{35} +(-6.66592e24 - 1.00361e25i) q^{36} +(-1.87123e24 + 3.24107e24i) q^{37} +(-3.25331e25 + 1.87830e25i) q^{38} +(-1.01573e24 - 3.23948e25i) q^{39} +(2.66468e25 - 4.61535e25i) q^{40} -4.32983e25i q^{41} +(-3.32908e24 + 1.48610e26i) q^{42} -1.56074e26 q^{43} +(1.45855e26 + 8.42093e25i) q^{44} +(-3.85701e26 - 1.91532e26i) q^{45} +(5.61652e26 + 9.72810e26i) q^{46} +(7.84344e26 + 4.52841e26i) q^{47} +(-1.55436e26 - 8.33583e25i) q^{48} +(6.51634e26 - 8.91703e26i) q^{49} -3.19267e27i q^{50} +(-1.65391e27 - 2.66791e27i) q^{51} +(2.44771e27 + 4.23956e27i) q^{52} +(2.68518e27 - 1.55029e27i) q^{53} +(3.45191e27 - 7.53535e27i) q^{54} +6.01979e27 q^{55} +(-3.45046e27 - 6.79511e27i) q^{56} +(-1.37149e28 - 7.35515e27i) q^{57} +(1.93469e27 - 3.35099e27i) q^{58} +(-1.68826e28 + 9.74716e27i) q^{59} +(6.50131e28 - 2.03846e27i) q^{60} +(2.72856e28 - 4.72600e28i) q^{61} -2.24991e28i q^{62} +(-5.30534e28 + 3.12665e28i) q^{63} +1.28982e29 q^{64} +(1.51535e29 + 8.74887e28i) q^{65} +(3.63099e27 + 1.15804e29i) q^{66} +(-6.24483e28 - 1.08164e29i) q^{67} +(4.10601e29 + 2.37060e29i) q^{68} +(-2.19935e29 + 4.10107e29i) q^{69} +(-6.72437e29 - 4.38008e29i) q^{70} +3.91015e29i q^{71} +(2.66211e28 + 4.24100e29i) q^{72} +(-4.27576e29 - 7.40583e29i) q^{73} +(3.36773e29 - 1.94436e29i) q^{74} +(1.12416e30 - 6.96897e29i) q^{75} +2.35064e30 q^{76} +(4.69839e29 - 7.21304e29i) q^{77} +(-1.59164e30 + 2.96789e30i) q^{78} +(3.45885e29 - 5.99090e29i) q^{79} +(8.24643e29 - 4.76108e29i) q^{80} +(3.40673e30 - 4.29378e29i) q^{81} +(-2.24952e30 + 3.89629e30i) q^{82} +3.53147e30i q^{83} +(4.82996e30 - 7.94911e30i) q^{84} +1.69465e31 q^{85} +(1.40446e31 + 8.10867e30i) q^{86} +(1.60221e30 - 5.02366e28i) q^{87} +(-2.97003e30 - 5.14424e30i) q^{88} +(1.33127e30 + 7.68608e29i) q^{89} +(2.47572e31 + 3.72741e31i) q^{90} +(2.23102e31 - 1.13288e31i) q^{91} -7.02894e31i q^{92} +(7.92209e30 - 4.91112e30i) q^{93} +(-4.70538e31 - 8.14996e31i) q^{94} +(7.27627e31 - 4.20095e31i) q^{95} +(3.19955e31 + 5.16117e31i) q^{96} -8.26346e31 q^{97} +(-1.04966e32 + 4.63867e31i) q^{98} +(-3.99829e31 + 2.65563e31i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} + O(q^{10}) \) \( 164 q + 43046720 q^{3} + 176093659134 q^{4} + 3915256954876 q^{6} - 41868332499126 q^{7} + 1232720974221986 q^{9} - 653609167486978 q^{10} - 80283770812252892 q^{12} + 930128021838524592 q^{13} + 295985739739384604 q^{15} - \)\(35\!\cdots\!98\)\( q^{16} - \)\(28\!\cdots\!84\)\( q^{18} - \)\(55\!\cdots\!32\)\( q^{19} - \)\(63\!\cdots\!60\)\( q^{21} - \)\(13\!\cdots\!96\)\( q^{22} + \)\(10\!\cdots\!46\)\( q^{24} + \)\(37\!\cdots\!44\)\( q^{25} - \)\(46\!\cdots\!76\)\( q^{27} + \)\(47\!\cdots\!58\)\( q^{28} - \)\(33\!\cdots\!80\)\( q^{30} + \)\(52\!\cdots\!26\)\( q^{31} - \)\(73\!\cdots\!26\)\( q^{33} - \)\(22\!\cdots\!96\)\( q^{34} - \)\(58\!\cdots\!40\)\( q^{36} - \)\(47\!\cdots\!40\)\( q^{37} + \)\(80\!\cdots\!20\)\( q^{39} - \)\(45\!\cdots\!26\)\( q^{40} + \)\(10\!\cdots\!78\)\( q^{42} - \)\(82\!\cdots\!28\)\( q^{43} + \)\(88\!\cdots\!80\)\( q^{45} + \)\(30\!\cdots\!92\)\( q^{46} - \)\(10\!\cdots\!00\)\( q^{48} + \)\(42\!\cdots\!90\)\( q^{49} + \)\(89\!\cdots\!16\)\( q^{51} + \)\(39\!\cdots\!84\)\( q^{52} + \)\(16\!\cdots\!78\)\( q^{54} + \)\(55\!\cdots\!00\)\( q^{55} - \)\(88\!\cdots\!80\)\( q^{57} + \)\(63\!\cdots\!34\)\( q^{58} + \)\(69\!\cdots\!10\)\( q^{60} - \)\(49\!\cdots\!48\)\( q^{61} + \)\(38\!\cdots\!20\)\( q^{63} - \)\(17\!\cdots\!24\)\( q^{64} + \)\(20\!\cdots\!84\)\( q^{66} + \)\(41\!\cdots\!36\)\( q^{67} - \)\(54\!\cdots\!68\)\( q^{69} - \)\(18\!\cdots\!50\)\( q^{70} + \)\(88\!\cdots\!12\)\( q^{72} + \)\(14\!\cdots\!40\)\( q^{73} - \)\(13\!\cdots\!24\)\( q^{75} - \)\(13\!\cdots\!12\)\( q^{76} - \)\(15\!\cdots\!20\)\( q^{78} + \)\(11\!\cdots\!98\)\( q^{79} + \)\(41\!\cdots\!98\)\( q^{81} - \)\(17\!\cdots\!72\)\( q^{82} + \)\(23\!\cdots\!36\)\( q^{84} - \)\(11\!\cdots\!64\)\( q^{85} + \)\(25\!\cdots\!98\)\( q^{87} - \)\(10\!\cdots\!90\)\( q^{88} - \)\(13\!\cdots\!64\)\( q^{90} + \)\(33\!\cdots\!84\)\( q^{91} - \)\(88\!\cdots\!00\)\( q^{93} - \)\(96\!\cdots\!24\)\( q^{94} + \)\(14\!\cdots\!10\)\( q^{96} - \)\(26\!\cdots\!24\)\( q^{97} - \)\(24\!\cdots\!32\)\( q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −89987.0 51954.0i −1.37309 0.792756i −0.381777 0.924255i \(-0.624688\pi\)
−0.991316 + 0.131499i \(0.958021\pi\)
\(3\) −1.34905e6 4.30256e7i −0.0313392 0.999509i
\(4\) 3.25096e9 + 5.63082e9i 0.756923 + 1.31103i
\(5\) 2.01263e11 + 1.16199e11i 1.31900 + 0.761523i 0.983567 0.180543i \(-0.0577855\pi\)
0.335429 + 0.942066i \(0.391119\pi\)
\(6\) −2.11396e12 + 3.94183e12i −0.749335 + 1.39726i
\(7\) 2.96316e13 1.50465e13i 0.891633 0.452759i
\(8\) 2.29320e14i 0.814708i
\(9\) −1.84938e15 + 1.16087e14i −0.998036 + 0.0626475i
\(10\) −1.20740e16 2.09128e16i −1.20740 2.09128i
\(11\) 2.24326e16 1.29515e16i 0.488199 0.281862i −0.235628 0.971843i \(-0.575715\pi\)
0.723827 + 0.689982i \(0.242381\pi\)
\(12\) 2.37884e17 1.47471e17i 1.28666 0.797637i
\(13\) 7.52921e17 1.13150 0.565751 0.824576i \(-0.308586\pi\)
0.565751 + 0.824576i \(0.308586\pi\)
\(14\) −3.44818e18 1.85491e17i −1.58322 0.0851674i
\(15\) 4.72802e18 8.81621e18i 0.719812 1.34221i
\(16\) 2.04867e18 3.54840e18i 0.111059 0.192359i
\(17\) 6.31507e19 3.64601e19i 1.29776 0.749264i 0.317746 0.948176i \(-0.397074\pi\)
0.980017 + 0.198912i \(0.0637407\pi\)
\(18\) 1.72451e20 + 8.56364e19i 1.42006 + 0.705177i
\(19\) 1.80765e20 3.13095e20i 0.626697 1.08547i −0.361513 0.932367i \(-0.617740\pi\)
0.988210 0.153104i \(-0.0489268\pi\)
\(20\) 1.51103e21i 2.30566i
\(21\) −6.87359e20 1.25462e21i −0.480479 0.877006i
\(22\) −2.69152e21 −0.893789
\(23\) −9.36222e21 5.40528e21i −1.52663 0.881400i −0.999500 0.0316145i \(-0.989935\pi\)
−0.527129 0.849785i \(-0.676732\pi\)
\(24\) −9.86662e21 + 3.09363e20i −0.814307 + 0.0255322i
\(25\) 1.53629e22 + 2.66094e22i 0.659833 + 1.14287i
\(26\) −6.77531e22 3.91173e22i −1.55366 0.897005i
\(27\) 7.48962e21 + 7.94140e22i 0.0938943 + 0.995582i
\(28\) 1.81055e23 + 1.17935e23i 1.26848 + 0.826253i
\(29\) 3.72386e22i 0.148808i 0.997228 + 0.0744038i \(0.0237054\pi\)
−0.997228 + 0.0744038i \(0.976295\pi\)
\(30\) −8.83498e23 + 5.47704e23i −2.05242 + 1.27235i
\(31\) 1.08265e23 + 1.87520e23i 0.148833 + 0.257786i 0.930796 0.365538i \(-0.119115\pi\)
−0.781963 + 0.623324i \(0.785782\pi\)
\(32\) −1.22167e24 + 7.05334e23i −1.01055 + 0.583439i
\(33\) −5.87507e23 9.47703e23i −0.297023 0.479125i
\(34\) −7.57699e24 −2.37593
\(35\) 7.71212e24 + 4.14864e23i 1.52085 + 0.0818120i
\(36\) −6.66592e24 1.00361e25i −0.837569 1.26103i
\(37\) −1.87123e24 + 3.24107e24i −0.151670 + 0.262700i −0.931842 0.362865i \(-0.881798\pi\)
0.780171 + 0.625566i \(0.215132\pi\)
\(38\) −3.25331e25 + 1.87830e25i −1.72103 + 0.993635i
\(39\) −1.01573e24 3.23948e25i −0.0354603 1.13095i
\(40\) 2.66468e25 4.61535e25i 0.620418 1.07460i
\(41\) 4.32983e25i 0.679093i −0.940589 0.339547i \(-0.889726\pi\)
0.940589 0.339547i \(-0.110274\pi\)
\(42\) −3.32908e24 + 1.48610e26i −0.0355087 + 1.58511i
\(43\) −1.56074e26 −1.14245 −0.571223 0.820795i \(-0.693531\pi\)
−0.571223 + 0.820795i \(0.693531\pi\)
\(44\) 1.45855e26 + 8.42093e25i 0.739057 + 0.426695i
\(45\) −3.85701e26 1.91532e26i −1.36411 0.677395i
\(46\) 5.61652e26 + 9.72810e26i 1.39747 + 2.42049i
\(47\) 7.84344e26 + 4.52841e26i 1.38338 + 0.798693i 0.992558 0.121774i \(-0.0388583\pi\)
0.390820 + 0.920467i \(0.372192\pi\)
\(48\) −1.55436e26 8.33583e25i −0.195745 0.104976i
\(49\) 6.51634e26 8.91703e26i 0.590019 0.807389i
\(50\) 3.19267e27i 2.09235i
\(51\) −1.65391e27 2.66791e27i −0.789567 1.27364i
\(52\) 2.44771e27 + 4.23956e27i 0.856460 + 1.48343i
\(53\) 2.68518e27 1.55029e27i 0.692723 0.399944i −0.111908 0.993719i \(-0.535696\pi\)
0.804631 + 0.593775i \(0.202363\pi\)
\(54\) 3.45191e27 7.53535e27i 0.660328 1.44146i
\(55\) 6.01979e27 0.858576
\(56\) −3.45046e27 6.79511e27i −0.368866 0.726420i
\(57\) −1.37149e28 7.35515e27i −1.10458 0.592371i
\(58\) 1.93469e27 3.35099e27i 0.117968 0.204327i
\(59\) −1.68826e28 + 9.74716e27i −0.783081 + 0.452112i −0.837521 0.546405i \(-0.815996\pi\)
0.0544401 + 0.998517i \(0.482663\pi\)
\(60\) 6.50131e28 2.03846e27i 2.30452 0.0722573i
\(61\) 2.72856e28 4.72600e28i 0.742430 1.28593i −0.208956 0.977925i \(-0.567007\pi\)
0.951386 0.308001i \(-0.0996601\pi\)
\(62\) 2.24991e28i 0.471953i
\(63\) −5.30534e28 + 3.12665e28i −0.861517 + 0.507728i
\(64\) 1.28982e29 1.62798
\(65\) 1.51535e29 + 8.74887e28i 1.49245 + 0.861665i
\(66\) 3.63099e27 + 1.15804e29i 0.0280106 + 0.893350i
\(67\) −6.24483e28 1.08164e29i −0.378725 0.655971i 0.612152 0.790740i \(-0.290304\pi\)
−0.990877 + 0.134769i \(0.956971\pi\)
\(68\) 4.10601e29 + 2.37060e29i 1.96461 + 1.13427i
\(69\) −2.19935e29 + 4.10107e29i −0.833124 + 1.55350i
\(70\) −6.72437e29 4.38008e29i −2.02341 1.31799i
\(71\) 3.91015e29i 0.937690i 0.883280 + 0.468845i \(0.155330\pi\)
−0.883280 + 0.468845i \(0.844670\pi\)
\(72\) 2.66211e28 + 4.24100e29i 0.0510394 + 0.813107i
\(73\) −4.27576e29 7.40583e29i −0.657426 1.13870i −0.981280 0.192589i \(-0.938312\pi\)
0.323853 0.946107i \(-0.395022\pi\)
\(74\) 3.36773e29 1.94436e29i 0.416514 0.240475i
\(75\) 1.12416e30 6.96897e29i 1.12163 0.695326i
\(76\) 2.35064e30 1.89744
\(77\) 4.69839e29 7.21304e29i 0.307679 0.472353i
\(78\) −1.59164e30 + 2.96789e30i −0.847874 + 1.58101i
\(79\) 3.45885e29 5.99090e29i 0.150279 0.260291i −0.781051 0.624467i \(-0.785316\pi\)
0.931330 + 0.364176i \(0.118649\pi\)
\(80\) 8.24643e29 4.76108e29i 0.292972 0.169147i
\(81\) 3.40673e30 4.29378e29i 0.992151 0.125049i
\(82\) −2.24952e30 + 3.89629e30i −0.538355 + 0.932458i
\(83\) 3.53147e30i 0.696156i 0.937466 + 0.348078i \(0.113166\pi\)
−0.937466 + 0.348078i \(0.886834\pi\)
\(84\) 4.82996e30 7.94911e30i 0.786094 1.29375i
\(85\) 1.69465e31 2.28233
\(86\) 1.40446e31 + 8.10867e30i 1.56868 + 0.905680i
\(87\) 1.60221e30 5.02366e28i 0.148734 0.00466350i
\(88\) −2.97003e30 5.14424e30i −0.229635 0.397739i
\(89\) 1.33127e30 + 7.68608e29i 0.0859064 + 0.0495981i 0.542338 0.840161i \(-0.317539\pi\)
−0.456431 + 0.889759i \(0.650873\pi\)
\(90\) 2.47572e31 + 3.72741e31i 1.33604 + 2.01153i
\(91\) 2.23102e31 1.13288e31i 1.00889 0.512298i
\(92\) 7.02894e31i 2.66861i
\(93\) 7.92209e30 4.91112e30i 0.252995 0.156839i
\(94\) −4.70538e31 8.14996e31i −1.26634 2.19336i
\(95\) 7.27627e31 4.20095e31i 1.65322 0.954487i
\(96\) 3.19955e31 + 5.16117e31i 0.614822 + 0.991765i
\(97\) −8.26346e31 −1.34528 −0.672642 0.739968i \(-0.734841\pi\)
−0.672642 + 0.739968i \(0.734841\pi\)
\(98\) −1.04966e32 + 4.63867e31i −1.45021 + 0.640879i
\(99\) −3.99829e31 + 2.65563e31i −0.469582 + 0.311892i
\(100\) −9.98886e31 + 1.73012e32i −0.998886 + 1.73012i
\(101\) −4.91171e31 + 2.83578e31i −0.418881 + 0.241841i −0.694598 0.719398i \(-0.744418\pi\)
0.275718 + 0.961239i \(0.411085\pi\)
\(102\) 1.02217e31 + 3.26005e32i 0.0744597 + 2.37477i
\(103\) 1.10368e32 1.91163e32i 0.687779 1.19127i −0.284776 0.958594i \(-0.591919\pi\)
0.972555 0.232673i \(-0.0747473\pi\)
\(104\) 1.72660e32i 0.921844i
\(105\) 7.44573e30 3.32378e32i 0.0341097 1.52266i
\(106\) −3.22175e32 −1.26823
\(107\) −2.06404e31 1.19168e31i −0.0699163 0.0403662i 0.464634 0.885503i \(-0.346186\pi\)
−0.534551 + 0.845136i \(0.679519\pi\)
\(108\) −4.22818e32 + 3.00344e32i −1.23417 + 0.876677i
\(109\) 1.75376e32 + 3.03761e32i 0.441720 + 0.765081i 0.997817 0.0660361i \(-0.0210352\pi\)
−0.556098 + 0.831117i \(0.687702\pi\)
\(110\) −5.41703e32 3.12753e32i −1.17890 0.680641i
\(111\) 1.41973e32 + 7.61385e31i 0.267325 + 0.143363i
\(112\) 7.31434e30 1.35970e32i 0.0119313 0.221797i
\(113\) 6.75214e31i 0.0955402i −0.998858 0.0477701i \(-0.984789\pi\)
0.998858 0.0477701i \(-0.0152115\pi\)
\(114\) 8.52037e32 + 1.37441e33i 1.04708 + 1.68904i
\(115\) −1.25618e33 2.17576e33i −1.34241 2.32513i
\(116\) −2.09684e32 + 1.21061e32i −0.195091 + 0.112636i
\(117\) −1.39244e33 + 8.74044e31i −1.12928 + 0.0708858i
\(118\) 2.02562e33 1.43366
\(119\) 1.32266e33 2.03057e33i 0.817893 1.25564i
\(120\) −2.02173e33 1.08423e33i −1.09351 0.586437i
\(121\) −7.20208e32 + 1.24744e33i −0.341108 + 0.590817i
\(122\) −4.91069e33 + 2.83519e33i −2.03885 + 1.17713i
\(123\) −1.86294e33 + 5.84115e31i −0.678760 + 0.0212822i
\(124\) −7.03927e32 + 1.21924e33i −0.225310 + 0.390248i
\(125\) 1.72970e33i 0.486867i
\(126\) 6.39854e33 5.72470e31i 1.58545 0.0141848i
\(127\) −3.09845e33 −0.676528 −0.338264 0.941051i \(-0.609840\pi\)
−0.338264 + 0.941051i \(0.609840\pi\)
\(128\) −6.35964e33 3.67174e33i −1.22482 0.707151i
\(129\) 2.10551e32 + 6.71518e33i 0.0358033 + 1.14188i
\(130\) −9.09078e33 1.57457e34i −1.36618 2.36629i
\(131\) 6.14583e33 + 3.54830e33i 0.817033 + 0.471714i 0.849392 0.527762i \(-0.176969\pi\)
−0.0323592 + 0.999476i \(0.510302\pi\)
\(132\) 3.42639e33 6.38909e33i 0.403324 0.752066i
\(133\) 6.45383e32 1.19974e34i 0.0673273 1.25158i
\(134\) 1.29778e34i 1.20095i
\(135\) −7.72046e33 + 1.68534e34i −0.634312 + 1.38467i
\(136\) −8.36102e33 1.44817e34i −0.610431 1.05730i
\(137\) 1.60299e34 9.25488e33i 1.04088 0.600955i 0.120801 0.992677i \(-0.461454\pi\)
0.920084 + 0.391722i \(0.128120\pi\)
\(138\) 4.10980e34 2.54778e34i 2.37550 1.47264i
\(139\) 8.92733e33 0.459711 0.229855 0.973225i \(-0.426175\pi\)
0.229855 + 0.973225i \(0.426175\pi\)
\(140\) 2.27358e34 + 4.47743e34i 1.04391 + 2.05580i
\(141\) 1.84256e34 3.43577e34i 0.754947 1.40773i
\(142\) 2.03148e34 3.51862e34i 0.743359 1.28754i
\(143\) 1.68900e34 9.75142e33i 0.552398 0.318927i
\(144\) −3.37685e33 + 6.80017e33i −0.0987897 + 0.198939i
\(145\) −4.32709e33 + 7.49474e33i −0.113320 + 0.196276i
\(146\) 8.88571e34i 2.08471i
\(147\) −3.92451e34 2.68340e34i −0.825483 0.564426i
\(148\) −2.43332e34 −0.459210
\(149\) −4.92663e34 2.84439e34i −0.834776 0.481958i 0.0207092 0.999786i \(-0.493408\pi\)
−0.855485 + 0.517827i \(0.826741\pi\)
\(150\) −1.37366e35 + 4.30706e33i −2.09132 + 0.0655724i
\(151\) −4.85188e34 8.40370e34i −0.664169 1.15037i −0.979510 0.201396i \(-0.935452\pi\)
0.315341 0.948978i \(-0.397881\pi\)
\(152\) −7.17988e34 4.14531e34i −0.884341 0.510575i
\(153\) −1.12557e35 + 7.47596e34i −1.24827 + 0.829094i
\(154\) −7.97541e34 + 4.04980e34i −0.796932 + 0.404671i
\(155\) 5.03210e34i 0.453359i
\(156\) 1.79108e35 1.11034e35i 1.45586 0.902529i
\(157\) 1.02470e35 + 1.77483e35i 0.751974 + 1.30246i 0.946865 + 0.321632i \(0.104231\pi\)
−0.194891 + 0.980825i \(0.562435\pi\)
\(158\) −6.22503e34 + 3.59402e34i −0.412694 + 0.238269i
\(159\) −7.03245e34 1.13440e35i −0.421457 0.679849i
\(160\) −3.27837e35 −1.77721
\(161\) −3.58748e35 1.92984e34i −1.76025 0.0946906i
\(162\) −3.28870e35 1.38355e35i −1.46145 0.614829i
\(163\) 6.72570e34 1.16493e35i 0.270854 0.469134i −0.698226 0.715877i \(-0.746027\pi\)
0.969081 + 0.246743i \(0.0793605\pi\)
\(164\) 2.43805e35 1.40761e35i 0.890311 0.514021i
\(165\) −8.12099e33 2.59005e35i −0.0269070 0.858154i
\(166\) 1.83474e35 3.17787e35i 0.551881 0.955887i
\(167\) 1.27506e35i 0.348391i −0.984711 0.174196i \(-0.944267\pi\)
0.984711 0.174196i \(-0.0557325\pi\)
\(168\) −2.87709e35 + 1.57625e35i −0.714504 + 0.391450i
\(169\) 1.24110e35 0.280298
\(170\) −1.52497e36 8.80440e35i −3.13385 1.80933i
\(171\) −2.97958e35 + 6.00016e35i −0.557464 + 1.12260i
\(172\) −5.07390e35 8.78826e35i −0.864743 1.49778i
\(173\) 7.99801e35 + 4.61765e35i 1.24235 + 0.717272i 0.969572 0.244805i \(-0.0787239\pi\)
0.272779 + 0.962077i \(0.412057\pi\)
\(174\) −1.46788e35 7.87206e34i −0.207923 0.111507i
\(175\) 8.55607e35 + 5.57320e35i 1.10577 + 0.720271i
\(176\) 1.06133e35i 0.125213i
\(177\) 4.42153e35 + 7.13233e35i 0.476431 + 0.768527i
\(178\) −7.98646e34 1.38330e35i −0.0786383 0.136206i
\(179\) 7.25087e35 4.18629e35i 0.652742 0.376861i −0.136764 0.990604i \(-0.543670\pi\)
0.789506 + 0.613743i \(0.210337\pi\)
\(180\) −1.75412e35 2.79448e36i −0.144444 2.30113i
\(181\) 9.95648e35 0.750323 0.375162 0.926959i \(-0.377587\pi\)
0.375162 + 0.926959i \(0.377587\pi\)
\(182\) −2.59621e36 1.39660e35i −1.79142 0.0963671i
\(183\) −2.07020e36 1.11022e36i −1.30856 0.701765i
\(184\) −1.23954e36 + 2.14694e36i −0.718083 + 1.24376i
\(185\) −7.53219e35 + 4.34871e35i −0.400105 + 0.231000i
\(186\) −9.68037e35 + 3.03524e34i −0.471721 + 0.0147906i
\(187\) 9.44423e35 1.63579e36i 0.422378 0.731579i
\(188\) 5.88867e36i 2.41820i
\(189\) 1.41683e36 + 2.24047e36i 0.534478 + 0.845183i
\(190\) −8.73026e36 −3.02670
\(191\) 4.30359e36 + 2.48468e36i 1.37182 + 0.792021i 0.991157 0.132693i \(-0.0423623\pi\)
0.380663 + 0.924714i \(0.375696\pi\)
\(192\) −1.74003e35 5.54952e36i −0.0510195 1.62718i
\(193\) −1.72902e36 2.99475e36i −0.466534 0.808060i 0.532736 0.846282i \(-0.321164\pi\)
−0.999269 + 0.0382219i \(0.987831\pi\)
\(194\) 7.43604e36 + 4.29320e36i 1.84720 + 1.06648i
\(195\) 3.55982e36 6.63790e36i 0.814469 1.51872i
\(196\) 7.13946e36 + 7.70345e35i 1.50511 + 0.162401i
\(197\) 9.61954e36i 1.86937i 0.355481 + 0.934684i \(0.384317\pi\)
−0.355481 + 0.934684i \(0.615683\pi\)
\(198\) 4.97765e36 3.12451e35i 0.892034 0.0559937i
\(199\) −1.10326e36 1.91091e36i −0.182402 0.315929i 0.760296 0.649577i \(-0.225054\pi\)
−0.942698 + 0.333647i \(0.891721\pi\)
\(200\) 6.10206e36 3.52303e36i 0.931101 0.537571i
\(201\) −4.56956e36 + 2.83279e36i −0.643780 + 0.399096i
\(202\) 5.89320e36 0.766883
\(203\) 5.60310e35 + 1.10344e36i 0.0673739 + 0.132682i
\(204\) 9.64574e36 1.79861e37i 1.07214 1.99920i
\(205\) 5.03123e36 8.71434e36i 0.517145 0.895721i
\(206\) −1.98634e37 + 1.14682e37i −1.88877 + 1.09048i
\(207\) 1.79418e37 + 8.90959e36i 1.57885 + 0.784029i
\(208\) 1.54249e36 2.67167e36i 0.125663 0.217655i
\(209\) 9.36470e36i 0.706567i
\(210\) −1.79384e37 + 2.95229e37i −1.25394 + 2.06372i
\(211\) −8.60262e36 −0.557329 −0.278664 0.960389i \(-0.589892\pi\)
−0.278664 + 0.960389i \(0.589892\pi\)
\(212\) 1.74588e37 + 1.00799e37i 1.04868 + 0.605453i
\(213\) 1.68236e37 5.27497e35i 0.937229 0.0293864i
\(214\) 1.23825e36 + 2.14471e36i 0.0640010 + 0.110853i
\(215\) −3.14119e37 1.81357e37i −1.50688 0.869998i
\(216\) 1.82112e37 1.71752e36i 0.811108 0.0764964i
\(217\) 6.02956e36 + 3.92750e36i 0.249419 + 0.162465i
\(218\) 3.64460e37i 1.40070i
\(219\) −3.12872e37 + 1.93958e37i −1.11753 + 0.692789i
\(220\) 1.95701e37 + 3.38964e37i 0.649876 + 1.12562i
\(221\) 4.75475e37 2.74515e37i 1.46842 0.847794i
\(222\) −8.82005e36 1.42276e37i −0.253410 0.408774i
\(223\) −1.42957e37 −0.382232 −0.191116 0.981567i \(-0.561211\pi\)
−0.191116 + 0.981567i \(0.561211\pi\)
\(224\) −2.55873e37 + 3.92821e37i −0.636879 + 0.977746i
\(225\) −3.15009e37 4.74275e37i −0.730135 1.09928i
\(226\) −3.50801e36 + 6.07605e36i −0.0757400 + 0.131186i
\(227\) 6.42878e35 3.71166e35i 0.0129335 0.00746713i −0.493519 0.869735i \(-0.664290\pi\)
0.506453 + 0.862268i \(0.330956\pi\)
\(228\) −3.17113e36 1.01138e38i −0.0594643 1.89651i
\(229\) −2.27944e37 + 3.94810e37i −0.398529 + 0.690273i −0.993545 0.113441i \(-0.963813\pi\)
0.595015 + 0.803714i \(0.297146\pi\)
\(230\) 2.61054e38i 4.25682i
\(231\) −3.16684e37 1.92420e37i −0.481764 0.292724i
\(232\) 8.53954e36 0.121235
\(233\) 2.57710e36 + 1.48789e36i 0.0341536 + 0.0197186i 0.516980 0.855998i \(-0.327056\pi\)
−0.482826 + 0.875716i \(0.660390\pi\)
\(234\) 1.29842e38 + 6.44774e37i 1.60680 + 0.797910i
\(235\) 1.05239e38 + 1.82280e38i 1.21645 + 2.10695i
\(236\) −1.09769e38 6.33752e37i −1.18546 0.684428i
\(237\) −2.62428e37 1.40737e37i −0.264873 0.142048i
\(238\) −2.24518e38 + 1.14007e38i −2.11846 + 1.07572i
\(239\) 4.15613e37i 0.366710i 0.983047 + 0.183355i \(0.0586957\pi\)
−0.983047 + 0.183355i \(0.941304\pi\)
\(240\) −2.15973e37 3.48384e37i −0.178246 0.287527i
\(241\) 9.65701e35 + 1.67264e36i 0.00745710 + 0.0129161i 0.869730 0.493528i \(-0.164293\pi\)
−0.862273 + 0.506444i \(0.830960\pi\)
\(242\) 1.29619e38 7.48354e37i 0.936746 0.540831i
\(243\) −2.30701e37 1.45997e38i −0.156081 0.987744i
\(244\) 3.54817e38 2.24785
\(245\) 2.34765e38 1.03747e38i 1.39308 0.615630i
\(246\) 1.70675e38 + 9.15307e37i 0.948872 + 0.508868i
\(247\) 1.36102e38 2.35735e38i 0.709109 1.22821i
\(248\) 4.30020e37 2.48272e37i 0.210020 0.121255i
\(249\) 1.51944e38 4.76413e36i 0.695814 0.0218169i
\(250\) 8.98648e37 1.55650e38i 0.385967 0.668514i
\(251\) 2.25856e38i 0.910022i 0.890486 + 0.455011i \(0.150365\pi\)
−0.890486 + 0.455011i \(0.849635\pi\)
\(252\) −3.48531e38 1.97088e38i −1.31775 0.745163i
\(253\) −2.80025e38 −0.993731
\(254\) 2.78821e38 + 1.60977e38i 0.928935 + 0.536321i
\(255\) −2.28617e37 7.29134e38i −0.0715262 2.28121i
\(256\) 1.04537e38 + 1.81063e38i 0.307206 + 0.532097i
\(257\) 1.07128e38 + 6.18504e37i 0.295783 + 0.170770i 0.640547 0.767919i \(-0.278708\pi\)
−0.344764 + 0.938689i \(0.612041\pi\)
\(258\) 3.29934e38 6.15218e38i 0.856074 1.59630i
\(259\) −6.68083e36 + 1.24193e38i −0.0162942 + 0.302902i
\(260\) 1.13769e39i 2.60885i
\(261\) −4.32292e36 6.88683e37i −0.00932242 0.148515i
\(262\) −3.68696e38 6.38601e38i −0.747908 1.29542i
\(263\) −4.27056e38 + 2.46561e38i −0.815067 + 0.470579i −0.848712 0.528855i \(-0.822622\pi\)
0.0336454 + 0.999434i \(0.489288\pi\)
\(264\) −2.17327e38 + 1.34727e38i −0.390347 + 0.241987i
\(265\) 7.20569e38 1.21826
\(266\) −6.81388e38 + 1.04608e39i −1.08465 + 1.66517i
\(267\) 3.12739e37 5.83155e37i 0.0468815 0.0874186i
\(268\) 4.06034e38 7.03271e38i 0.573331 0.993038i
\(269\) −4.83728e38 + 2.79281e38i −0.643524 + 0.371539i −0.785971 0.618264i \(-0.787836\pi\)
0.142446 + 0.989803i \(0.454503\pi\)
\(270\) 1.57034e39 1.11548e39i 1.96868 1.39843i
\(271\) −6.95207e38 + 1.20413e39i −0.821495 + 1.42287i 0.0830730 + 0.996543i \(0.473527\pi\)
−0.904568 + 0.426328i \(0.859807\pi\)
\(272\) 2.98779e38i 0.332849i
\(273\) −5.17526e38 9.44627e38i −0.543664 0.992335i
\(274\) −1.92331e39 −1.90564
\(275\) 6.89261e38 + 3.97945e38i 0.644259 + 0.371963i
\(276\) −3.02424e39 + 9.48237e37i −2.66730 + 0.0836319i
\(277\) 9.27623e38 + 1.60669e39i 0.772138 + 1.33738i 0.936389 + 0.350964i \(0.114146\pi\)
−0.164251 + 0.986419i \(0.552521\pi\)
\(278\) −8.03344e38 4.63811e38i −0.631226 0.364438i
\(279\) −2.21991e38 3.34227e38i −0.164690 0.247956i
\(280\) 9.51365e37 1.76854e39i 0.0666528 1.23905i
\(281\) 7.97716e38i 0.527894i 0.964537 + 0.263947i \(0.0850245\pi\)
−0.964537 + 0.263947i \(0.914976\pi\)
\(282\) −3.44309e39 + 2.13447e39i −2.15260 + 1.33445i
\(283\) −1.49702e39 2.59291e39i −0.884390 1.53181i −0.846411 0.532531i \(-0.821241\pi\)
−0.0379799 0.999279i \(-0.512092\pi\)
\(284\) −2.20173e39 + 1.27117e39i −1.22934 + 0.709759i
\(285\) −1.90564e39 3.07398e39i −1.00583 1.62250i
\(286\) −2.02650e39 −1.01132
\(287\) −6.51488e38 1.28300e39i −0.307465 0.605502i
\(288\) 2.17746e39 1.44625e39i 0.972009 0.645601i
\(289\) 1.47472e39 2.55429e39i 0.622794 1.07871i
\(290\) 7.78763e38 4.49619e38i 0.311199 0.179671i
\(291\) 1.11478e38 + 3.55540e39i 0.0421601 + 1.34462i
\(292\) 2.78006e39 4.81521e39i 0.995242 1.72381i
\(293\) 4.07923e39i 1.38260i −0.722568 0.691300i \(-0.757038\pi\)
0.722568 0.691300i \(-0.242962\pi\)
\(294\) 2.13742e39 + 4.45365e39i 0.686013 + 1.42942i
\(295\) −4.53045e39 −1.37717
\(296\) 7.43241e38 + 4.29111e38i 0.214024 + 0.123567i
\(297\) 1.19654e39 + 1.68446e39i 0.326455 + 0.459577i
\(298\) 2.95555e39 + 5.11917e39i 0.764150 + 1.32355i
\(299\) −7.04901e39 4.06975e39i −1.72738 0.997306i
\(300\) 7.57870e39 + 4.06436e39i 1.76058 + 0.944175i
\(301\) −4.62472e39 + 2.34837e39i −1.01864 + 0.517252i
\(302\) 1.00830e40i 2.10609i
\(303\) 1.28637e39 + 2.07503e39i 0.254850 + 0.411096i
\(304\) −7.40658e38 1.28286e39i −0.139200 0.241102i
\(305\) 1.09831e40 6.34112e39i 1.95852 1.13075i
\(306\) 1.40127e40 8.79591e38i 2.37127 0.148846i
\(307\) −8.52291e39 −1.36891 −0.684453 0.729057i \(-0.739959\pi\)
−0.684453 + 0.729057i \(0.739959\pi\)
\(308\) 5.58896e39 + 3.00651e38i 0.852158 + 0.0458407i
\(309\) −8.37381e39 4.49077e39i −1.21224 0.650107i
\(310\) 2.61438e39 4.52823e39i 0.359403 0.622503i
\(311\) −5.58531e39 + 3.22468e39i −0.729257 + 0.421037i −0.818150 0.575004i \(-0.805000\pi\)
0.0888932 + 0.996041i \(0.471667\pi\)
\(312\) −7.42878e39 + 2.32926e38i −0.921391 + 0.0288898i
\(313\) 5.41839e39 9.38493e39i 0.638500 1.10591i −0.347262 0.937768i \(-0.612889\pi\)
0.985762 0.168146i \(-0.0537781\pi\)
\(314\) 2.12949e40i 2.38453i
\(315\) −1.43108e40 + 1.28037e38i −1.52298 + 0.0136260i
\(316\) 4.49783e39 0.454998
\(317\) −5.83188e39 3.36704e39i −0.560868 0.323817i 0.192626 0.981272i \(-0.438300\pi\)
−0.753494 + 0.657455i \(0.771633\pi\)
\(318\) 4.34630e38 + 1.38618e40i 0.0397453 + 1.26761i
\(319\) 4.82294e38 + 8.35357e38i 0.0419431 + 0.0726476i
\(320\) 2.59592e40 + 1.49876e40i 2.14730 + 1.23974i
\(321\) −4.84880e38 + 9.04143e38i −0.0381552 + 0.0711470i
\(322\) 3.12800e40 + 2.03750e40i 2.34193 + 1.52547i
\(323\) 2.63629e40i 1.87825i
\(324\) 1.34929e40 + 1.77868e40i 0.914924 + 1.20609i
\(325\) 1.15671e40 + 2.00348e40i 0.746603 + 1.29315i
\(326\) −1.21045e40 + 6.98855e39i −0.743817 + 0.429443i
\(327\) 1.28329e40 7.95545e39i 0.750862 0.465480i
\(328\) −9.92917e39 −0.553263
\(329\) 3.00550e40 + 1.61677e39i 1.59508 + 0.0858053i
\(330\) −1.27256e40 + 2.37290e40i −0.643361 + 1.19966i
\(331\) 3.50219e39 6.06597e39i 0.168691 0.292181i −0.769269 0.638925i \(-0.779379\pi\)
0.937960 + 0.346744i \(0.112713\pi\)
\(332\) −1.98851e40 + 1.14807e40i −0.912680 + 0.526936i
\(333\) 3.08437e39 6.21120e39i 0.134915 0.271686i
\(334\) −6.62446e39 + 1.14739e40i −0.276189 + 0.478374i
\(335\) 2.90258e40i 1.15363i
\(336\) −5.86006e39 1.31273e38i −0.222062 0.00497449i
\(337\) 3.27229e38 0.0118242 0.00591212 0.999983i \(-0.498118\pi\)
0.00591212 + 0.999983i \(0.498118\pi\)
\(338\) −1.11683e40 6.44802e39i −0.384875 0.222208i
\(339\) −2.90515e39 + 9.10895e37i −0.0954933 + 0.00299415i
\(340\) 5.50924e40 + 9.54229e40i 1.72754 + 2.99220i
\(341\) 4.85731e39 + 2.80437e39i 0.145320 + 0.0839006i
\(342\) 5.79855e40 3.85135e40i 1.65540 1.09950i
\(343\) 5.89192e39 3.62274e40i 0.160528 0.987031i
\(344\) 3.57909e40i 0.930759i
\(345\) −9.19189e40 + 5.69830e40i −2.28191 + 1.41462i
\(346\) −4.79811e40 8.31058e40i −1.13724 1.96976i
\(347\) 4.25852e40 2.45866e40i 0.963802 0.556451i 0.0664606 0.997789i \(-0.478829\pi\)
0.897341 + 0.441338i \(0.145496\pi\)
\(348\) 5.49159e39 + 8.85845e39i 0.118694 + 0.191465i
\(349\) 1.34930e40 0.278549 0.139275 0.990254i \(-0.455523\pi\)
0.139275 + 0.990254i \(0.455523\pi\)
\(350\) −4.80385e40 9.46038e40i −0.947328 1.86561i
\(351\) 5.63909e39 + 5.97925e40i 0.106242 + 1.12650i
\(352\) −1.82702e40 + 3.16449e40i −0.328898 + 0.569668i
\(353\) 6.39304e39 3.69102e39i 0.109980 0.0634967i −0.444001 0.896026i \(-0.646441\pi\)
0.553981 + 0.832529i \(0.313108\pi\)
\(354\) −2.73265e39 8.71534e40i −0.0449296 1.43295i
\(355\) −4.54355e40 + 7.86967e40i −0.714072 + 1.23681i
\(356\) 9.99485e39i 0.150168i
\(357\) −8.91507e40 5.41688e40i −1.28066 0.778141i
\(358\) −8.69978e40 −1.19503
\(359\) −2.44866e40 1.41373e40i −0.321675 0.185719i 0.330464 0.943819i \(-0.392795\pi\)
−0.652139 + 0.758100i \(0.726128\pi\)
\(360\) −4.39222e40 + 8.84488e40i −0.551879 + 1.11135i
\(361\) −2.37530e40 4.11413e40i −0.285498 0.494496i
\(362\) −8.95954e40 5.17279e40i −1.03026 0.594823i
\(363\) 5.46433e40 + 2.93045e40i 0.601216 + 0.322425i
\(364\) 1.36320e41 + 8.87955e40i 1.43528 + 0.934908i
\(365\) 1.98736e41i 2.00258i
\(366\) 1.28610e41 + 2.07461e41i 1.24045 + 2.00096i
\(367\) −4.25514e40 7.37013e40i −0.392878 0.680484i 0.599950 0.800037i \(-0.295187\pi\)
−0.992828 + 0.119553i \(0.961854\pi\)
\(368\) −3.83602e40 + 2.21473e40i −0.339091 + 0.195774i
\(369\) 5.02638e39 + 8.00751e40i 0.0425435 + 0.677759i
\(370\) 9.03732e40 0.732508
\(371\) 5.62397e40 8.63401e40i 0.436577 0.670239i
\(372\) 5.34080e40 + 2.86421e40i 0.397118 + 0.212969i
\(373\) 4.15423e40 7.19534e40i 0.295903 0.512519i −0.679292 0.733868i \(-0.737713\pi\)
0.975195 + 0.221350i \(0.0710462\pi\)
\(374\) −1.69972e41 + 9.81331e40i −1.15993 + 0.669684i
\(375\) 7.44213e40 2.33345e39i 0.486628 0.0152580i
\(376\) 1.03845e41 1.79866e41i 0.650702 1.12705i
\(377\) 2.80377e40i 0.168376i
\(378\) −1.10950e40 2.75223e41i −0.0638645 1.58422i
\(379\) 1.74631e41 0.963591 0.481796 0.876284i \(-0.339985\pi\)
0.481796 + 0.876284i \(0.339985\pi\)
\(380\) 4.73097e41 + 2.73143e41i 2.50272 + 1.44495i
\(381\) 4.17996e39 + 1.33313e41i 0.0212018 + 0.676195i
\(382\) −2.58178e41 4.47178e41i −1.25576 2.17504i
\(383\) 1.30456e41 + 7.53188e40i 0.608532 + 0.351336i 0.772391 0.635148i \(-0.219061\pi\)
−0.163859 + 0.986484i \(0.552394\pi\)
\(384\) −1.49399e41 + 2.78580e41i −0.668419 + 1.24638i
\(385\) 1.78376e41 9.05768e40i 0.765535 0.388728i
\(386\) 3.59318e41i 1.47939i
\(387\) 2.88640e41 1.81182e40i 1.14020 0.0715714i
\(388\) −2.68642e41 4.65301e41i −1.01828 1.76371i
\(389\) −6.94500e40 + 4.00970e40i −0.252626 + 0.145854i −0.620966 0.783837i \(-0.713260\pi\)
0.368340 + 0.929691i \(0.379926\pi\)
\(390\) −6.65204e41 + 4.12378e41i −2.32231 + 1.43967i
\(391\) −7.88308e41 −2.64161
\(392\) −2.04485e41 1.49432e41i −0.657786 0.480693i
\(393\) 1.44376e41 2.69215e41i 0.445877 0.831415i
\(394\) 4.99774e41 8.65634e41i 1.48195 2.56681i
\(395\) 1.39228e41 8.03830e40i 0.396435 0.228882i
\(396\) −2.79517e41 1.38803e41i −0.764337 0.379557i
\(397\) −3.59205e41 + 6.22161e41i −0.943396 + 1.63401i −0.184464 + 0.982839i \(0.559055\pi\)
−0.758932 + 0.651170i \(0.774279\pi\)
\(398\) 2.29276e41i 0.578401i
\(399\) −5.17065e41 1.15830e40i −1.25308 0.0280707i
\(400\) 1.25895e41 0.293121
\(401\) 7.78801e40 + 4.49641e40i 0.174227 + 0.100590i 0.584578 0.811338i \(-0.301260\pi\)
−0.410350 + 0.911928i \(0.634594\pi\)
\(402\) 5.58376e41 1.75076e40i 1.20036 0.0376366i
\(403\) 8.15146e40 + 1.41187e41i 0.168405 + 0.291686i
\(404\) −3.19355e41 1.84380e41i −0.634121 0.366110i
\(405\) 7.35542e41 + 3.09441e41i 1.40387 + 0.590606i
\(406\) 6.90740e39 1.28405e41i 0.0126735 0.235595i
\(407\) 9.69408e40i 0.171000i
\(408\) −6.11805e41 + 3.79274e41i −1.03765 + 0.643266i
\(409\) −2.17722e41 3.77105e41i −0.355082 0.615020i 0.632050 0.774928i \(-0.282214\pi\)
−0.987132 + 0.159908i \(0.948880\pi\)
\(410\) −9.05491e41 + 5.22785e41i −1.42018 + 0.819939i
\(411\) −4.19822e41 6.77212e41i −0.633280 1.02154i
\(412\) 1.43521e42 2.08238
\(413\) −3.53597e41 + 5.42848e41i −0.493523 + 0.757665i
\(414\) −1.15164e42 1.73390e42i −1.54636 2.32819i
\(415\) −4.10354e41 + 7.10754e41i −0.530138 + 0.918227i
\(416\) −9.19824e41 + 5.31061e41i −1.14343 + 0.660162i
\(417\) −1.20434e40 3.84103e41i −0.0144069 0.459485i
\(418\) −4.86534e41 + 8.42701e41i −0.560135 + 0.970182i
\(419\) 5.80717e41i 0.643487i −0.946827 0.321744i \(-0.895731\pi\)
0.946827 0.321744i \(-0.104269\pi\)
\(420\) 1.89577e42 1.03862e42i 2.02207 1.10782i
\(421\) 1.72171e42 1.76785 0.883927 0.467626i \(-0.154891\pi\)
0.883927 + 0.467626i \(0.154891\pi\)
\(422\) 7.74124e41 + 4.46941e41i 0.765264 + 0.441826i
\(423\) −1.50312e42 7.46423e41i −1.43070 0.710459i
\(424\) −3.55512e41 6.15765e41i −0.325837 0.564367i
\(425\) 1.94036e42 + 1.12027e42i 1.71262 + 0.988779i
\(426\) −1.54131e42 8.26587e41i −1.31020 0.702644i
\(427\) 9.74172e40 1.81094e42i 0.0797608 1.48272i
\(428\) 1.54964e41i 0.122216i
\(429\) −4.42346e41 7.13545e41i −0.336082 0.542132i
\(430\) 1.88444e42 + 3.26395e42i 1.37939 + 2.38918i
\(431\) 6.01198e41 3.47102e41i 0.424015 0.244805i −0.272779 0.962077i \(-0.587943\pi\)
0.696794 + 0.717272i \(0.254609\pi\)
\(432\) 2.97137e41 + 1.36117e41i 0.201937 + 0.0925066i
\(433\) 1.85922e42 1.21766 0.608829 0.793302i \(-0.291640\pi\)
0.608829 + 0.793302i \(0.291640\pi\)
\(434\) −3.38533e41 6.66684e41i −0.213681 0.420809i
\(435\) 3.28303e41 + 1.76065e41i 0.199731 + 0.107113i
\(436\) −1.14028e42 + 1.97503e42i −0.668695 + 1.15821i
\(437\) −3.38473e42 + 1.95417e42i −1.91347 + 1.10474i
\(438\) 3.82313e42 1.19872e41i 2.08369 0.0653332i
\(439\) 2.39340e41 4.14549e41i 0.125772 0.217843i −0.796263 0.604951i \(-0.793193\pi\)
0.922034 + 0.387108i \(0.126526\pi\)
\(440\) 1.38046e42i 0.699488i
\(441\) −1.10160e42 + 1.72474e42i −0.538279 + 0.842767i
\(442\) −5.70487e42 −2.68837
\(443\) 6.02214e41 + 3.47688e41i 0.273710 + 0.158027i 0.630572 0.776130i \(-0.282820\pi\)
−0.356862 + 0.934157i \(0.616153\pi\)
\(444\) 3.28266e40 + 1.04695e42i 0.0143913 + 0.458985i
\(445\) 1.78623e41 + 3.09384e41i 0.0755401 + 0.130839i
\(446\) 1.28643e42 + 7.42718e41i 0.524840 + 0.303017i
\(447\) −1.15735e42 + 2.15808e42i −0.455560 + 0.849470i
\(448\) 3.82194e42 1.94072e42i 1.45156 0.737082i
\(449\) 3.21735e42i 1.17912i 0.807726 + 0.589558i \(0.200698\pi\)
−0.807726 + 0.589558i \(0.799302\pi\)
\(450\) 3.70628e41 + 5.90446e42i 0.131080 + 2.08824i
\(451\) −5.60777e41 9.71294e41i −0.191410 0.331532i
\(452\) 3.80201e41 2.19509e41i 0.125256 0.0723165i
\(453\) −3.55028e42 + 2.20092e42i −1.12899 + 0.699894i
\(454\) −7.71342e40 −0.0236784
\(455\) 5.80662e42 + 3.12360e41i 1.72084 + 0.0925705i
\(456\) −1.68668e42 + 3.14511e42i −0.482609 + 0.899908i
\(457\) 1.22377e42 2.11963e42i 0.338096 0.585599i −0.645979 0.763355i \(-0.723551\pi\)
0.984075 + 0.177756i \(0.0568839\pi\)
\(458\) 4.10240e42 2.36852e42i 1.09444 0.631873i
\(459\) 3.36842e42 + 4.74198e42i 0.867807 + 1.22168i
\(460\) 8.16756e42 1.41466e43i 2.03220 3.51988i
\(461\) 1.60807e42i 0.386447i 0.981155 + 0.193223i \(0.0618942\pi\)
−0.981155 + 0.193223i \(0.938106\pi\)
\(462\) 1.85004e42 + 3.37683e42i 0.429447 + 0.783859i
\(463\) 3.86813e42 0.867371 0.433685 0.901064i \(-0.357213\pi\)
0.433685 + 0.901064i \(0.357213\pi\)
\(464\) 1.32137e41 + 7.62896e40i 0.0286245 + 0.0165264i
\(465\) 2.16509e42 6.78854e40i 0.453136 0.0142079i
\(466\) −1.54604e41 2.67781e41i −0.0312640 0.0541509i
\(467\) 1.52846e42 + 8.82457e41i 0.298665 + 0.172434i 0.641843 0.766836i \(-0.278170\pi\)
−0.343178 + 0.939270i \(0.611503\pi\)
\(468\) −5.01891e42 7.55642e42i −0.947711 1.42686i
\(469\) −3.47793e42 2.26543e42i −0.634680 0.413414i
\(470\) 2.18705e43i 3.85738i
\(471\) 7.49809e42 4.64827e42i 1.27825 0.792423i
\(472\) 2.23522e42 + 3.87151e42i 0.368339 + 0.637982i
\(473\) −3.50114e42 + 2.02139e42i −0.557740 + 0.322011i
\(474\) 1.63033e42 + 2.62987e42i 0.251085 + 0.405024i
\(475\) 1.11083e43 1.65406
\(476\) 1.57337e43 + 8.46373e41i 2.26527 + 0.121857i
\(477\) −4.78595e42 + 3.17879e42i −0.666307 + 0.442555i
\(478\) 2.15928e42 3.73997e42i 0.290711 0.503527i
\(479\) −9.98116e42 + 5.76263e42i −1.29961 + 0.750330i −0.980337 0.197333i \(-0.936772\pi\)
−0.319273 + 0.947663i \(0.603439\pi\)
\(480\) 4.42268e41 + 1.41054e43i 0.0556962 + 1.77633i
\(481\) −1.40889e42 + 2.44027e42i −0.171615 + 0.297246i
\(482\) 2.00688e41i 0.0236466i
\(483\) −3.46356e41 + 1.54614e43i −0.0394792 + 1.76236i
\(484\) −9.36547e42 −1.03277
\(485\) −1.66313e43 9.60207e42i −1.77442 1.02446i
\(486\) −5.50914e42 + 1.43364e43i −0.568727 + 1.48000i
\(487\) −5.08631e41 8.80975e41i −0.0508089 0.0880035i 0.839502 0.543356i \(-0.182847\pi\)
−0.890311 + 0.455352i \(0.849513\pi\)
\(488\) −1.08376e43 6.25712e42i −1.04765 0.604863i
\(489\) −5.10289e42 2.73662e42i −0.477392 0.256019i
\(490\) −2.65159e43 2.86105e42i −2.40087 0.259053i
\(491\) 1.38333e43i 1.21233i −0.795338 0.606166i \(-0.792707\pi\)
0.795338 0.606166i \(-0.207293\pi\)
\(492\) −6.38523e42 1.03000e43i −0.541670 0.873764i
\(493\) 1.35772e42 + 2.35164e42i 0.111496 + 0.193117i
\(494\) −2.44948e43 + 1.41421e43i −1.94734 + 1.12430i
\(495\) −1.11329e43 + 6.98821e41i −0.856889 + 0.0537876i
\(496\) 8.87194e41 0.0661168
\(497\) 5.88340e42 + 1.15864e43i 0.424547 + 0.836076i
\(498\) −1.39205e43 7.46538e42i −0.972713 0.521654i
\(499\) 1.01914e43 1.76520e43i 0.689645 1.19450i −0.282308 0.959324i \(-0.591100\pi\)
0.971953 0.235176i \(-0.0755667\pi\)
\(500\) −9.73963e42 + 5.62318e42i −0.638297 + 0.368521i
\(501\) −5.48602e42 + 1.72012e41i −0.348220 + 0.0109183i
\(502\) 1.17341e43 2.03241e43i 0.721425 1.24954i
\(503\) 1.69153e43i 1.00738i −0.863886 0.503688i \(-0.831976\pi\)
0.863886 0.503688i \(-0.168024\pi\)
\(504\) 7.17004e42 + 1.21662e43i 0.413650 + 0.701885i
\(505\) −1.31806e43 −0.736669
\(506\) 2.51986e43 + 1.45484e43i 1.36448 + 0.787786i
\(507\) −1.67430e41 5.33991e42i −0.00878430 0.280160i
\(508\) −1.00729e43 1.74469e43i −0.512079 0.886947i
\(509\) −1.94946e43 1.12552e43i −0.960351 0.554459i −0.0640699 0.997945i \(-0.520408\pi\)
−0.896281 + 0.443487i \(0.853741\pi\)
\(510\) −3.58242e43 + 6.68003e43i −1.71023 + 3.18901i
\(511\) −2.38129e43 1.55111e43i −1.10174 0.717643i
\(512\) 9.81555e42i 0.440145i
\(513\) 2.62180e43 + 1.20103e43i 1.13952 + 0.522009i
\(514\) −6.42676e42 1.11315e43i −0.270758 0.468967i
\(515\) 4.44261e43 2.56494e43i 1.81435 1.04752i
\(516\) −3.71275e43 + 2.30163e43i −1.46994 + 0.911257i
\(517\) 2.34598e43 0.900484
\(518\) 7.05354e42 1.08287e43i 0.262501 0.402996i
\(519\) 1.87888e43 3.50348e43i 0.677985 1.26422i
\(520\) 2.00629e43 3.47500e43i 0.702005 1.21591i
\(521\) −8.93551e42 + 5.15892e42i −0.303191 + 0.175047i −0.643875 0.765130i \(-0.722674\pi\)
0.340685 + 0.940178i \(0.389341\pi\)
\(522\) −3.18898e42 + 6.42184e42i −0.104936 + 0.211316i
\(523\) 2.03595e42 3.52636e42i 0.0649739 0.112538i −0.831708 0.555213i \(-0.812637\pi\)
0.896682 + 0.442674i \(0.145970\pi\)
\(524\) 4.61414e43i 1.42820i
\(525\) 2.28248e43 3.75648e43i 0.685263 1.12780i
\(526\) 5.12394e43 1.49222
\(527\) 1.36740e43 + 7.89467e42i 0.386300 + 0.223030i
\(528\) −4.56644e42 + 1.43179e41i −0.125151 + 0.00392406i
\(529\) 3.96297e43 + 6.86406e43i 1.05373 + 1.82512i
\(530\) −6.48419e43 3.74365e43i −1.67279 0.965786i
\(531\) 3.00908e43 1.99861e43i 0.753219 0.500282i
\(532\) 6.96532e43 3.53689e43i 1.69182 0.859084i
\(533\) 3.26002e43i 0.768396i
\(534\) −5.84397e42 + 3.62283e42i −0.133674 + 0.0828683i
\(535\) −2.76943e42 4.79680e42i −0.0614795 0.106486i
\(536\) −2.48041e43 + 1.43206e43i −0.534424 + 0.308550i
\(537\) −1.89899e43 3.06325e43i −0.397132 0.640611i
\(538\) 5.80390e43 1.17816
\(539\) 3.06897e42 2.84428e43i 0.0604745 0.560470i
\(540\) −1.19997e44 + 1.13171e43i −2.29547 + 0.216488i
\(541\) 1.12718e43 1.95233e43i 0.209333 0.362575i −0.742172 0.670210i \(-0.766204\pi\)
0.951505 + 0.307635i \(0.0995375\pi\)
\(542\) 1.25119e44 7.22376e43i 2.25598 1.30249i
\(543\) −1.34318e42 4.28383e43i −0.0235145 0.749955i
\(544\) −5.14331e43 + 8.90847e43i −0.874299 + 1.51433i
\(545\) 8.15143e43i 1.34552i
\(546\) −2.50653e42 + 1.11892e44i −0.0401782 + 1.79356i
\(547\) −6.20782e43 −0.966366 −0.483183 0.875519i \(-0.660519\pi\)
−0.483183 + 0.875519i \(0.660519\pi\)
\(548\) 1.04225e44 + 6.01745e43i 1.57574 + 0.909753i
\(549\) −4.49751e43 + 9.05692e43i −0.660411 + 1.32991i
\(550\) −4.13497e43 7.16198e43i −0.589752 1.02148i
\(551\) 1.16592e43 + 6.73144e42i 0.161526 + 0.0932572i
\(552\) 9.40457e43 + 5.04355e43i 1.26565 + 0.678752i
\(553\) 1.23491e42 2.29563e43i 0.0161448 0.300124i
\(554\) 1.92775e44i 2.44847i
\(555\) 1.97267e43 + 3.18210e43i 0.243426 + 0.392669i
\(556\) 2.90224e43 + 5.02682e43i 0.347966 + 0.602694i
\(557\) −4.29140e43 + 2.47764e43i −0.499938 + 0.288639i −0.728688 0.684846i \(-0.759870\pi\)
0.228750 + 0.973485i \(0.426536\pi\)
\(558\) 2.61186e42 + 4.16094e43i 0.0295667 + 0.471025i
\(559\) −1.17511e44 −1.29268
\(560\) 1.72717e43 2.65158e43i 0.184641 0.283463i
\(561\) −7.16548e43 3.84276e43i −0.744457 0.399243i
\(562\) 4.14446e43 7.17841e43i 0.418491 0.724848i
\(563\) −1.45757e44 + 8.41528e43i −1.43052 + 0.825913i −0.997160 0.0753070i \(-0.976006\pi\)
−0.433362 + 0.901220i \(0.642673\pi\)
\(564\) 2.53363e44 7.94410e42i 2.41701 0.0757842i
\(565\) 7.84592e42 1.35895e43i 0.0727560 0.126017i
\(566\) 3.11104e44i 2.80442i
\(567\) 9.44862e43 6.39825e43i 0.828017 0.560703i
\(568\) 8.96674e43 0.763943
\(569\) −6.97204e43 4.02531e43i −0.577516 0.333429i 0.182630 0.983182i \(-0.441539\pi\)
−0.760145 + 0.649753i \(0.774872\pi\)
\(570\) 1.17775e43 + 3.75624e44i 0.0948542 + 3.02521i
\(571\) −8.11628e43 1.40578e44i −0.635593 1.10088i −0.986389 0.164428i \(-0.947422\pi\)
0.350796 0.936452i \(-0.385911\pi\)
\(572\) 1.09817e44 + 6.34029e43i 0.836245 + 0.482806i
\(573\) 1.01099e44 1.88517e44i 0.748640 1.39597i
\(574\) −8.03143e42 + 1.49301e44i −0.0578366 + 1.07516i
\(575\) 3.32164e44i 2.32631i
\(576\) −2.38536e44 + 1.49731e43i −1.62478 + 0.101989i
\(577\) 1.83190e43 + 3.17294e43i 0.121364 + 0.210208i 0.920306 0.391200i \(-0.127940\pi\)
−0.798942 + 0.601408i \(0.794607\pi\)
\(578\) −2.65411e44 + 1.53235e44i −1.71031 + 0.987446i
\(579\) −1.26518e44 + 7.84321e43i −0.793042 + 0.491628i
\(580\) −5.62687e43 −0.343099
\(581\) 5.31363e43 + 1.04643e44i 0.315191 + 0.620716i
\(582\) 1.74686e44 3.25732e44i 1.00807 1.87972i
\(583\) 4.01570e43 6.95540e43i 0.225457 0.390504i
\(584\) −1.69830e44 + 9.80515e43i −0.927704 + 0.535610i
\(585\) −2.90402e44 1.44209e44i −1.54350 0.766474i
\(586\) −2.11933e44 + 3.67078e44i −1.09606 + 1.89844i
\(587\) 1.56426e43i 0.0787227i −0.999225 0.0393613i \(-0.987468\pi\)
0.999225 0.0393613i \(-0.0125323\pi\)
\(588\) 2.35131e43 3.08218e44i 0.115152 1.50946i
\(589\) 7.82819e43 0.373092
\(590\) 4.07681e44 + 2.35375e44i 1.89099 + 1.09176i
\(591\) 4.13886e44 1.29772e43i 1.86845 0.0585844i
\(592\) 7.66708e42 + 1.32798e43i 0.0336886 + 0.0583503i
\(593\) −1.59510e44 9.20934e43i −0.682203 0.393870i 0.118481 0.992956i \(-0.462197\pi\)
−0.800685 + 0.599086i \(0.795531\pi\)
\(594\) −2.01585e43 2.13745e44i −0.0839218 0.889841i
\(595\) 5.02152e44 2.54986e44i 2.03500 1.03334i
\(596\) 3.69880e44i 1.45922i
\(597\) −8.07295e43 + 5.00464e43i −0.310058 + 0.192213i
\(598\) 4.22880e44 + 7.32449e44i 1.58124 + 2.73879i
\(599\) −2.35549e44 + 1.35994e44i −0.857536 + 0.495099i −0.863186 0.504885i \(-0.831535\pi\)
0.00565039 + 0.999984i \(0.498201\pi\)
\(600\) −1.59812e44 2.57792e44i −0.566487 0.913796i
\(601\) −4.54549e44 −1.56888 −0.784439 0.620205i \(-0.787049\pi\)
−0.784439 + 0.620205i \(0.787049\pi\)
\(602\) 5.38172e44 + 2.89503e43i 1.80874 + 0.0972991i
\(603\) 1.28047e44 + 1.92786e44i 0.419076 + 0.630956i
\(604\) 3.15465e44 5.46401e44i 1.00545 1.74149i
\(605\) −2.89902e44 + 1.67375e44i −0.899840 + 0.519523i
\(606\) −7.95021e42 2.53558e44i −0.0240335 0.766506i
\(607\) 3.28242e44 5.68532e44i 0.966440 1.67392i 0.260745 0.965408i \(-0.416032\pi\)
0.705695 0.708516i \(-0.250635\pi\)
\(608\) 5.10000e44i 1.46256i
\(609\) 4.67201e43 2.55962e43i 0.130505 0.0714989i
\(610\) −1.31779e45 −3.58565
\(611\) 5.90549e44 + 3.40953e44i 1.56530 + 0.903724i
\(612\) −7.86877e44 3.90749e44i −2.03181 1.00896i
\(613\) 1.96420e44 + 3.40210e44i 0.494105 + 0.855815i 0.999977 0.00679382i \(-0.00216256\pi\)
−0.505872 + 0.862609i \(0.668829\pi\)
\(614\) 7.66951e44 + 4.42800e44i 1.87964 + 1.08521i
\(615\) −3.81727e44 2.04715e44i −0.911488 0.488820i
\(616\) −1.65409e44 1.07743e44i −0.384830 0.250668i
\(617\) 5.75592e44i 1.30482i −0.757865 0.652412i \(-0.773757\pi\)
0.757865 0.652412i \(-0.226243\pi\)
\(618\) 5.20221e44 + 8.39164e44i 1.14914 + 1.85367i
\(619\) −2.82130e44 4.88664e44i −0.607294 1.05186i −0.991684 0.128694i \(-0.958922\pi\)
0.384390 0.923171i \(-0.374412\pi\)
\(620\) −2.83349e44 + 1.63591e44i −0.594366 + 0.343157i
\(621\) 3.59136e44 7.83975e44i 0.734164 1.60264i
\(622\) 6.70140e44 1.33512
\(623\) 5.10124e43 + 2.74415e42i 0.0990530 + 0.00532843i
\(624\) −1.17031e44 6.27622e43i −0.221486 0.118780i
\(625\) 1.56707e44 2.71424e44i 0.289073 0.500689i
\(626\) −9.75170e44 + 5.63014e44i −1.75344 + 1.01235i
\(627\) −4.02922e44 + 1.26334e43i −0.706220 + 0.0221432i
\(628\) −6.66252e44 + 1.15398e45i −1.13837 + 1.97172i
\(629\) 2.72901e44i 0.454564i
\(630\) 1.29444e45 + 7.31983e44i 2.10200 + 1.18864i
\(631\) −8.37729e43 −0.132628 −0.0663138 0.997799i \(-0.521124\pi\)
−0.0663138 + 0.997799i \(0.521124\pi\)
\(632\) −1.37383e44 7.93183e43i −0.212061 0.122433i
\(633\) 1.16053e43 + 3.70133e44i 0.0174662 + 0.557055i
\(634\) 3.49862e44 + 6.05979e44i 0.513416 + 0.889262i
\(635\) −6.23603e44 3.60038e44i −0.892337 0.515191i
\(636\) 4.10139e44 7.64774e44i 0.572291 1.06713i
\(637\) 4.90628e44 6.71382e44i 0.667608 0.913563i
\(638\) 1.00228e44i 0.133003i
\(639\) −4.53918e43 7.23135e44i −0.0587440 0.935848i
\(640\) −8.53306e44 1.47797e45i −1.07702 1.86546i
\(641\) 5.59142e44 3.22821e44i 0.688325 0.397405i −0.114659 0.993405i \(-0.536578\pi\)
0.802984 + 0.596000i \(0.203244\pi\)
\(642\) 9.06068e43 5.61696e43i 0.108793 0.0674436i
\(643\) −3.26562e44 −0.382464 −0.191232 0.981545i \(-0.561248\pi\)
−0.191232 + 0.981545i \(0.561248\pi\)
\(644\) −1.05761e45 2.08279e45i −1.20823 2.37942i
\(645\) −7.37921e44 + 1.37598e45i −0.822346 + 1.53341i
\(646\) −1.36966e45 + 2.37232e45i −1.48899 + 2.57901i
\(647\) −3.40443e44 + 1.96555e44i −0.361058 + 0.208457i −0.669545 0.742772i \(-0.733511\pi\)
0.308487 + 0.951229i \(0.400177\pi\)
\(648\) −9.84650e43 7.81231e44i −0.101878 0.808313i
\(649\) −2.52480e44 + 4.37308e44i −0.254866 + 0.441441i
\(650\) 2.40382e45i 2.36750i
\(651\) 1.60849e44 2.64724e44i 0.154569 0.254388i
\(652\) 8.74599e44 0.820063
\(653\) −3.14413e44 1.81526e44i −0.287667 0.166084i 0.349222 0.937040i \(-0.386446\pi\)
−0.636889 + 0.770955i \(0.719779\pi\)
\(654\) −1.56811e45 + 4.91674e43i −1.40001 + 0.0438968i
\(655\) 8.24618e44 + 1.42828e45i 0.718442 + 1.24438i
\(656\) −1.53640e44 8.87041e43i −0.130630 0.0754192i
\(657\) 8.76722e44 + 1.31998e45i 0.727471 + 1.09527i
\(658\) −2.62056e45 1.70697e45i −2.12217 1.38233i
\(659\) 1.65096e45i 1.30488i 0.757840 + 0.652440i \(0.226255\pi\)
−0.757840 + 0.652440i \(0.773745\pi\)
\(660\) 1.43201e45 8.87743e44i 1.10470 0.684832i
\(661\) 5.75286e44 + 9.96425e44i 0.433172 + 0.750277i 0.997144 0.0755173i \(-0.0240608\pi\)
−0.563972 + 0.825794i \(0.690727\pi\)
\(662\) −6.30303e44 + 3.63905e44i −0.463256 + 0.267461i
\(663\) −1.24526e45 2.00872e45i −0.893397 1.44113i
\(664\) 8.09837e44 0.567164
\(665\) 1.52398e45 2.33963e45i 1.04191 1.59956i
\(666\) −6.00250e44 + 3.98681e44i −0.400631 + 0.266096i
\(667\) 2.01285e44 3.48636e44i 0.131159 0.227174i
\(668\) 7.17965e44 4.14517e44i 0.456751 0.263705i
\(669\) 1.92856e43 + 6.15080e44i 0.0119788 + 0.382044i
\(670\) −1.50801e45 + 2.61194e45i −0.914547 + 1.58404i
\(671\) 1.41355e45i 0.837050i
\(672\) 1.72465e45 + 1.04792e45i 0.997225 + 0.605924i
\(673\) 9.49764e44 0.536259 0.268130 0.963383i \(-0.413594\pi\)
0.268130 + 0.963383i \(0.413594\pi\)
\(674\) −2.94463e43 1.70008e43i −0.0162358 0.00937373i
\(675\) −1.99810e45 + 1.41933e45i −1.07586 + 0.764227i
\(676\) 4.03477e44 + 6.98842e44i 0.212164 + 0.367479i
\(677\) 2.24093e45 + 1.29380e45i 1.15082 + 0.664429i 0.949088 0.315011i \(-0.102008\pi\)
0.201736 + 0.979440i \(0.435342\pi\)
\(678\) 2.66158e44 + 1.42737e44i 0.133495 + 0.0715916i
\(679\) −2.44859e45 + 1.24336e45i −1.19950 + 0.609089i
\(680\) 3.88617e45i 1.85943i
\(681\) −1.68369e43 2.71595e43i −0.00786879 0.0126931i
\(682\) −2.91396e44 5.04713e44i −0.133025 0.230407i
\(683\) −2.90594e45 + 1.67775e45i −1.29585 + 0.748161i −0.979685 0.200542i \(-0.935730\pi\)
−0.316168 + 0.948703i \(0.602396\pi\)
\(684\) −4.34723e45 + 2.72879e44i −1.89372 + 0.118870i
\(685\) 4.30164e45 1.83056
\(686\) −2.41235e45 + 2.95388e45i −1.00289 + 1.22803i
\(687\) 1.72945e45 + 9.27480e44i 0.702424 + 0.376701i
\(688\) −3.19744e44 + 5.53814e44i −0.126879 + 0.219760i
\(689\) 2.02173e45 1.16724e45i 0.783818 0.452537i
\(690\) 1.12320e46 3.52174e44i 4.25473 0.133405i
\(691\) 2.12175e45 3.67497e45i 0.785317 1.36021i −0.143493 0.989651i \(-0.545833\pi\)
0.928810 0.370557i \(-0.120833\pi\)
\(692\) 6.00472e45i 2.17168i
\(693\) −7.85177e44 + 1.38851e45i −0.277483 + 0.490701i
\(694\) −5.10949e45 −1.76452
\(695\) 1.79674e45 + 1.03735e45i 0.606357 + 0.350080i
\(696\) −1.15202e43 3.67419e44i −0.00379939 0.121175i
\(697\) −1.57866e45 2.73432e45i −0.508820 0.881303i
\(698\) −1.21420e45 7.01016e44i −0.382474 0.220821i
\(699\) 6.05406e43 1.12888e44i 0.0186386 0.0347548i
\(700\) −3.56631e44 + 6.62960e45i −0.107312 + 1.99489i
\(701\) 4.00608e45i 1.17823i −0.808048 0.589117i \(-0.799476\pi\)
0.808048 0.589117i \(-0.200524\pi\)
\(702\) 2.59901e45 5.67352e45i 0.747162 1.63102i
\(703\) 6.76508e44 + 1.17175e45i 0.190102 + 0.329267i
\(704\) 2.89340e45 1.67050e45i 0.794777 0.458865i
\(705\) 7.70073e45 4.77389e45i 2.06779 1.28188i
\(706\) −7.67054e44 −0.201349
\(707\) −1.02873e45 + 1.57932e45i −0.263992 + 0.405285i
\(708\) −2.57867e45 + 4.80838e45i −0.646940 + 1.20633i
\(709\) 2.45243e44 4.24773e44i 0.0601528 0.104188i −0.834381 0.551188i \(-0.814175\pi\)
0.894534 + 0.447001i \(0.147508\pi\)
\(710\) 8.17722e45 4.72112e45i 1.96097 1.13217i
\(711\) −5.70126e44 + 1.14810e45i −0.133677 + 0.269194i
\(712\) 1.76257e44 3.05286e44i 0.0404079 0.0699886i
\(713\) 2.34080e45i 0.524725i
\(714\) 5.20811e45 + 9.50623e45i 1.14159 + 2.08371i
\(715\) 4.53243e45 0.971481
\(716\) 4.71445e45 + 2.72189e45i 0.988150 + 0.570509i
\(717\) 1.78820e45 5.60681e43i 0.366530 0.0114924i
\(718\) 1.46898e45 + 2.54435e45i 0.294459 + 0.510019i
\(719\) 3.21655e45 + 1.85707e45i 0.630562 + 0.364055i 0.780970 0.624569i \(-0.214725\pi\)
−0.150408 + 0.988624i \(0.548059\pi\)
\(720\) −1.46981e45 + 9.76235e44i −0.281800 + 0.187169i
\(721\) 3.94046e44 7.32513e45i 0.0738895 1.37357i
\(722\) 4.93625e45i 0.905319i
\(723\) 7.06637e43 4.38063e43i 0.0126760 0.00785822i
\(724\) 3.23681e45 + 5.60632e45i 0.567937 + 0.983696i
\(725\) −9.90896e44 + 5.72094e44i −0.170067 + 0.0981882i
\(726\) −3.39470e45 5.47597e45i −0.569922 0.919337i
\(727\) −2.31512e45 −0.380209 −0.190104 0.981764i \(-0.560883\pi\)
−0.190104 + 0.981764i \(0.560883\pi\)
\(728\) −2.59792e45 5.11618e45i −0.417373 0.821946i
\(729\) −6.25050e45 + 1.18956e45i −0.982368 + 0.186959i
\(730\) −1.03251e46 + 1.78836e46i −1.58756 + 2.74973i
\(731\) −9.85619e45 + 5.69047e45i −1.48262 + 0.855993i
\(732\) −4.78665e44 1.52662e46i −0.0704457 2.24674i
\(733\) −5.77372e45 + 1.00004e46i −0.831365 + 1.43997i 0.0655907 + 0.997847i \(0.479107\pi\)
−0.896956 + 0.442120i \(0.854226\pi\)
\(734\) 8.84287e45i 1.24582i
\(735\) −4.78050e45 9.96093e45i −0.658986 1.37310i
\(736\) 1.52501e46 2.05697
\(737\) −2.80175e45 1.61759e45i −0.369786 0.213496i
\(738\) 3.70791e45 7.46686e45i 0.478881 0.964353i
\(739\) −6.73061e44 1.16578e45i −0.0850636 0.147334i 0.820355 0.571855i \(-0.193776\pi\)
−0.905418 +