Properties

Label 21.33.h.b.2.10
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 2.10
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-92637.1 - 53484.1i) q^{2} +(-4.06397e7 - 1.41929e7i) q^{3} +(3.57361e9 + 6.18967e9i) q^{4} +(2.33257e11 + 1.34671e11i) q^{5} +(3.00565e12 + 3.48836e12i) q^{6} +(-1.79704e13 + 2.79552e13i) q^{7} -3.05100e14i q^{8} +(1.45014e15 + 1.15359e15i) q^{9} +O(q^{10})\) \(q+(-92637.1 - 53484.1i) q^{2} +(-4.06397e7 - 1.41929e7i) q^{3} +(3.57361e9 + 6.18967e9i) q^{4} +(2.33257e11 + 1.34671e11i) q^{5} +(3.00565e12 + 3.48836e12i) q^{6} +(-1.79704e13 + 2.79552e13i) q^{7} -3.05100e14i q^{8} +(1.45014e15 + 1.15359e15i) q^{9} +(-1.44055e16 - 2.49510e16i) q^{10} +(-1.12559e16 + 6.49860e15i) q^{11} +(-5.73810e16 - 3.02266e17i) q^{12} -8.58078e17 q^{13} +(3.15989e18 - 1.62855e18i) q^{14} +(-7.56811e18 - 8.78356e18i) q^{15} +(-9.69446e17 + 1.67913e18i) q^{16} +(3.54232e18 - 2.04516e18i) q^{17} +(-7.26387e19 - 1.84425e20i) q^{18} +(-6.58754e19 + 1.14100e20i) q^{19} +1.92504e21i q^{20} +(1.12708e21 - 8.81036e20i) q^{21} +1.39029e21 q^{22} +(-2.63095e21 - 1.51898e21i) q^{23} +(-4.33024e21 + 1.23992e22i) q^{24} +(2.46309e22 + 4.26620e22i) q^{25} +(7.94898e22 + 4.58935e22i) q^{26} +(-4.25607e22 - 6.74631e22i) q^{27} +(-2.37253e23 - 1.13303e22i) q^{28} +2.10284e23i q^{29} +(2.31307e23 + 1.21846e24i) q^{30} +(5.97107e23 + 1.03422e24i) q^{31} +(-9.55221e23 + 5.51497e23i) q^{32} +(5.49670e23 - 1.04347e23i) q^{33} -4.37534e23 q^{34} +(-7.95647e24 + 4.10063e24i) q^{35} +(-1.95808e24 + 1.30984e25i) q^{36} +(5.36384e24 - 9.29045e24i) q^{37} +(1.22050e25 - 7.04657e24i) q^{38} +(3.48720e25 + 1.21786e25i) q^{39} +(4.10880e25 - 7.11666e25i) q^{40} +6.82656e25i q^{41} +(-1.51531e26 + 2.13360e25i) q^{42} +2.33040e26 q^{43} +(-8.04484e25 - 4.64469e25i) q^{44} +(1.82901e26 + 4.64374e26i) q^{45} +(1.62482e26 + 2.81428e26i) q^{46} +(1.75462e26 + 1.01303e26i) q^{47} +(6.32296e25 - 5.44800e25i) q^{48} +(-4.58554e26 - 1.00473e27i) q^{49} -5.26945e27i q^{50} +(-1.72986e26 + 3.28389e25i) q^{51} +(-3.06643e27 - 5.31122e27i) q^{52} +(2.80083e27 - 1.61706e27i) q^{53} +(3.34496e26 + 8.52591e27i) q^{54} -3.50069e27 q^{55} +(8.52911e27 + 5.48278e27i) q^{56} +(4.29656e27 - 3.70201e27i) q^{57} +(1.12469e28 - 1.94801e28i) q^{58} +(-1.32962e28 + 7.67658e27i) q^{59} +(2.73219e28 - 7.82331e28i) q^{60} +(-3.21010e28 + 5.56006e28i) q^{61} -1.27743e29i q^{62} +(-5.83085e28 + 1.98086e28i) q^{63} +1.26313e29 q^{64} +(-2.00152e29 - 1.15558e29i) q^{65} +(-5.65008e28 - 1.97322e28i) q^{66} +(9.46407e28 + 1.63922e29i) q^{67} +(2.53178e28 + 1.46172e28i) q^{68} +(8.53622e28 + 9.90715e28i) q^{69} +(9.56383e29 + 4.56734e28i) q^{70} +3.45775e29i q^{71} +(3.51959e29 - 4.42439e29i) q^{72} +(1.26269e29 + 2.18705e29i) q^{73} +(-9.93782e29 + 5.73760e29i) q^{74} +(-3.95496e29 - 2.08335e30i) q^{75} -9.41651e29 q^{76} +(2.06042e28 - 4.31444e29i) q^{77} +(-2.57908e30 - 2.99329e30i) q^{78} +(8.05948e29 - 1.39594e30i) q^{79} +(-4.52259e29 + 2.61112e29i) q^{80} +(7.72156e29 + 3.34574e30i) q^{81} +(3.65112e30 - 6.32393e30i) q^{82} -2.12034e30i q^{83} +(9.48105e30 + 3.82776e30i) q^{84} +1.10169e30 q^{85} +(-2.15882e31 - 1.24639e31i) q^{86} +(2.98454e30 - 8.54589e30i) q^{87} +(1.98272e30 + 3.43418e30i) q^{88} +(1.57064e31 + 9.06811e30i) q^{89} +(7.89316e30 - 5.28006e31i) q^{90} +(1.54200e31 - 2.39877e31i) q^{91} -2.17129e31i q^{92} +(-9.58768e30 - 5.05050e31i) q^{93} +(-1.08362e31 - 1.87688e31i) q^{94} +(-3.07318e31 + 1.77430e31i) q^{95} +(4.66472e31 - 8.85532e30i) q^{96} +1.13132e32 q^{97} +(-1.12581e31 + 1.17601e32i) q^{98} +(-2.38194e31 - 3.56076e30i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} + O(q^{10}) \) \( 164q + 43046720q^{3} + 176093659134q^{4} + 3915256954876q^{6} - 41868332499126q^{7} + 1232720974221986q^{9} - 653609167486978q^{10} - 80283770812252892q^{12} + 930128021838524592q^{13} + 295985739739384604q^{15} - \)\(35\!\cdots\!98\)\(q^{16} - \)\(28\!\cdots\!84\)\(q^{18} - \)\(55\!\cdots\!32\)\(q^{19} - \)\(63\!\cdots\!60\)\(q^{21} - \)\(13\!\cdots\!96\)\(q^{22} + \)\(10\!\cdots\!46\)\(q^{24} + \)\(37\!\cdots\!44\)\(q^{25} - \)\(46\!\cdots\!76\)\(q^{27} + \)\(47\!\cdots\!58\)\(q^{28} - \)\(33\!\cdots\!80\)\(q^{30} + \)\(52\!\cdots\!26\)\(q^{31} - \)\(73\!\cdots\!26\)\(q^{33} - \)\(22\!\cdots\!96\)\(q^{34} - \)\(58\!\cdots\!40\)\(q^{36} - \)\(47\!\cdots\!40\)\(q^{37} + \)\(80\!\cdots\!20\)\(q^{39} - \)\(45\!\cdots\!26\)\(q^{40} + \)\(10\!\cdots\!78\)\(q^{42} - \)\(82\!\cdots\!28\)\(q^{43} + \)\(88\!\cdots\!80\)\(q^{45} + \)\(30\!\cdots\!92\)\(q^{46} - \)\(10\!\cdots\!00\)\(q^{48} + \)\(42\!\cdots\!90\)\(q^{49} + \)\(89\!\cdots\!16\)\(q^{51} + \)\(39\!\cdots\!84\)\(q^{52} + \)\(16\!\cdots\!78\)\(q^{54} + \)\(55\!\cdots\!00\)\(q^{55} - \)\(88\!\cdots\!80\)\(q^{57} + \)\(63\!\cdots\!34\)\(q^{58} + \)\(69\!\cdots\!10\)\(q^{60} - \)\(49\!\cdots\!48\)\(q^{61} + \)\(38\!\cdots\!20\)\(q^{63} - \)\(17\!\cdots\!24\)\(q^{64} + \)\(20\!\cdots\!84\)\(q^{66} + \)\(41\!\cdots\!36\)\(q^{67} - \)\(54\!\cdots\!68\)\(q^{69} - \)\(18\!\cdots\!50\)\(q^{70} + \)\(88\!\cdots\!12\)\(q^{72} + \)\(14\!\cdots\!40\)\(q^{73} - \)\(13\!\cdots\!24\)\(q^{75} - \)\(13\!\cdots\!12\)\(q^{76} - \)\(15\!\cdots\!20\)\(q^{78} + \)\(11\!\cdots\!98\)\(q^{79} + \)\(41\!\cdots\!98\)\(q^{81} - \)\(17\!\cdots\!72\)\(q^{82} + \)\(23\!\cdots\!36\)\(q^{84} - \)\(11\!\cdots\!64\)\(q^{85} + \)\(25\!\cdots\!98\)\(q^{87} - \)\(10\!\cdots\!90\)\(q^{88} - \)\(13\!\cdots\!64\)\(q^{90} + \)\(33\!\cdots\!84\)\(q^{91} - \)\(88\!\cdots\!00\)\(q^{93} - \)\(96\!\cdots\!24\)\(q^{94} + \)\(14\!\cdots\!10\)\(q^{96} - \)\(26\!\cdots\!24\)\(q^{97} - \)\(24\!\cdots\!32\)\(q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −92637.1 53484.1i −1.41353 0.816102i −0.417811 0.908534i \(-0.637203\pi\)
−0.995719 + 0.0924317i \(0.970536\pi\)
\(3\) −4.06397e7 1.41929e7i −0.944083 0.329709i
\(4\) 3.57361e9 + 6.18967e9i 0.832045 + 1.44114i
\(5\) 2.33257e11 + 1.34671e11i 1.52867 + 0.882579i 0.999418 + 0.0341148i \(0.0108612\pi\)
0.529253 + 0.848464i \(0.322472\pi\)
\(6\) 3.00565e12 + 3.48836e12i 1.06541 + 1.23652i
\(7\) −1.79704e13 + 2.79552e13i −0.540742 + 0.841189i
\(8\) 3.05100e14i 1.08393i
\(9\) 1.45014e15 + 1.15359e15i 0.782584 + 0.622544i
\(10\) −1.44055e16 2.49510e16i −1.44055 2.49510i
\(11\) −1.12559e16 + 6.49860e15i −0.244961 + 0.141429i −0.617455 0.786606i \(-0.711836\pi\)
0.372494 + 0.928035i \(0.378503\pi\)
\(12\) −5.73810e16 3.02266e17i −0.310362 1.63489i
\(13\) −8.58078e17 −1.28953 −0.644767 0.764379i \(-0.723046\pi\)
−0.644767 + 0.764379i \(0.723046\pi\)
\(14\) 3.15989e18 1.62855e18i 1.45085 0.747745i
\(15\) −7.56811e18 8.78356e18i −1.15220 1.33724i
\(16\) −9.69446e17 + 1.67913e18i −0.0525538 + 0.0910258i
\(17\) 3.54232e18 2.04516e18i 0.0727957 0.0420286i −0.463160 0.886274i \(-0.653285\pi\)
0.535956 + 0.844246i \(0.319951\pi\)
\(18\) −7.26387e19 1.84425e20i −0.598147 1.51865i
\(19\) −6.58754e19 + 1.14100e20i −0.228384 + 0.395573i −0.957329 0.288999i \(-0.906678\pi\)
0.728945 + 0.684572i \(0.240011\pi\)
\(20\) 1.92504e21i 2.93738i
\(21\) 1.12708e21 8.81036e20i 0.787852 0.615864i
\(22\) 1.39029e21 0.461681
\(23\) −2.63095e21 1.51898e21i −0.429009 0.247689i 0.269915 0.962884i \(-0.413004\pi\)
−0.698925 + 0.715195i \(0.746338\pi\)
\(24\) −4.33024e21 + 1.23992e22i −0.357382 + 1.02332i
\(25\) 2.46309e22 + 4.26620e22i 1.05789 + 1.83232i
\(26\) 7.94898e22 + 4.58935e22i 1.82280 + 1.05239i
\(27\) −4.25607e22 6.74631e22i −0.533566 0.845758i
\(28\) −2.37253e23 1.13303e22i −1.66220 0.0793805i
\(29\) 2.10284e23i 0.840309i 0.907453 + 0.420154i \(0.138024\pi\)
−0.907453 + 0.420154i \(0.861976\pi\)
\(30\) 2.31307e23 + 1.21846e24i 0.537340 + 2.83055i
\(31\) 5.97107e23 + 1.03422e24i 0.820852 + 1.42176i 0.905048 + 0.425309i \(0.139834\pi\)
−0.0841960 + 0.996449i \(0.526832\pi\)
\(32\) −9.55221e23 + 5.51497e23i −0.790140 + 0.456188i
\(33\) 5.49670e23 1.04347e23i 0.277894 0.0527543i
\(34\) −4.37534e23 −0.137199
\(35\) −7.95647e24 + 4.10063e24i −1.56903 + 0.808653i
\(36\) −1.95808e24 + 1.30984e25i −0.246031 + 1.64580i
\(37\) 5.36384e24 9.29045e24i 0.434759 0.753025i −0.562517 0.826786i \(-0.690167\pi\)
0.997276 + 0.0737611i \(0.0235002\pi\)
\(38\) 1.22050e25 7.04657e24i 0.645655 0.372769i
\(39\) 3.48720e25 + 1.21786e25i 1.21743 + 0.425171i
\(40\) 4.10880e25 7.11666e25i 0.956655 1.65698i
\(41\) 6.82656e25i 1.07068i 0.844636 + 0.535341i \(0.179817\pi\)
−0.844636 + 0.535341i \(0.820183\pi\)
\(42\) −1.51531e26 + 2.13360e25i −1.61626 + 0.227575i
\(43\) 2.33040e26 1.70583 0.852915 0.522050i \(-0.174833\pi\)
0.852915 + 0.522050i \(0.174833\pi\)
\(44\) −8.04484e25 4.64469e25i −0.407638 0.235350i
\(45\) 1.82901e26 + 4.64374e26i 0.646870 + 1.64236i
\(46\) 1.62482e26 + 2.81428e26i 0.404279 + 0.700231i
\(47\) 1.75462e26 + 1.01303e26i 0.309468 + 0.178672i 0.646689 0.762754i \(-0.276153\pi\)
−0.337220 + 0.941426i \(0.609487\pi\)
\(48\) 6.32296e25 5.44800e25i 0.0796271 0.0686084i
\(49\) −4.58554e26 1.00473e27i −0.415196 0.909732i
\(50\) 5.26945e27i 3.45339i
\(51\) −1.72986e26 + 3.28389e25i −0.0825823 + 0.0156771i
\(52\) −3.06643e27 5.31122e27i −1.07295 1.85841i
\(53\) 2.80083e27 1.61706e27i 0.722557 0.417169i −0.0931360 0.995653i \(-0.529689\pi\)
0.815693 + 0.578485i \(0.196356\pi\)
\(54\) 3.34496e26 + 8.52591e27i 0.0639868 + 1.63095i
\(55\) −3.50069e27 −0.499287
\(56\) 8.52911e27 + 5.48278e27i 0.911791 + 0.586128i
\(57\) 4.29656e27 3.70201e27i 0.346037 0.298153i
\(58\) 1.12469e28 1.94801e28i 0.685778 1.18780i
\(59\) −1.32962e28 + 7.67658e27i −0.616731 + 0.356070i −0.775595 0.631230i \(-0.782550\pi\)
0.158864 + 0.987300i \(0.449217\pi\)
\(60\) 2.73219e28 7.82331e28i 0.968480 2.77313i
\(61\) −3.21010e28 + 5.56006e28i −0.873457 + 1.51287i −0.0150606 + 0.999887i \(0.504794\pi\)
−0.858397 + 0.512986i \(0.828539\pi\)
\(62\) 1.27743e29i 2.67960i
\(63\) −5.83085e28 + 1.98086e28i −0.946854 + 0.321665i
\(64\) 1.26313e29 1.59429
\(65\) −2.00152e29 1.15558e29i −1.97127 1.13812i
\(66\) −5.65008e28 1.97322e28i −0.435865 0.152220i
\(67\) 9.46407e28 + 1.63922e29i 0.573959 + 0.994127i 0.996154 + 0.0876214i \(0.0279266\pi\)
−0.422195 + 0.906505i \(0.638740\pi\)
\(68\) 2.53178e28 + 1.46172e28i 0.121139 + 0.0699394i
\(69\) 8.53622e28 + 9.90715e28i 0.323355 + 0.375287i
\(70\) 9.56383e29 + 4.56734e28i 2.87782 + 0.137434i
\(71\) 3.45775e29i 0.829201i 0.910003 + 0.414601i \(0.136079\pi\)
−0.910003 + 0.414601i \(0.863921\pi\)
\(72\) 3.51959e29 4.42439e29i 0.674796 0.848268i
\(73\) 1.26269e29 + 2.18705e29i 0.194148 + 0.336274i 0.946621 0.322349i \(-0.104473\pi\)
−0.752473 + 0.658623i \(0.771139\pi\)
\(74\) −9.93782e29 + 5.73760e29i −1.22909 + 0.709615i
\(75\) −3.95496e29 2.08335e30i −0.394604 2.07866i
\(76\) −9.41651e29 −0.760103
\(77\) 2.06042e28 4.31444e29i 0.0134929 0.282535i
\(78\) −2.57908e30 2.99329e30i −1.37389 1.59454i
\(79\) 8.05948e29 1.39594e30i 0.350166 0.606505i −0.636112 0.771596i \(-0.719459\pi\)
0.986278 + 0.165091i \(0.0527919\pi\)
\(80\) −4.52259e29 + 2.61112e29i −0.160675 + 0.0927657i
\(81\) 7.72156e29 + 3.34574e30i 0.224877 + 0.974387i
\(82\) 3.65112e30 6.32393e30i 0.873785 1.51344i
\(83\) 2.12034e30i 0.417980i −0.977918 0.208990i \(-0.932982\pi\)
0.977918 0.208990i \(-0.0670177\pi\)
\(84\) 9.48105e30 + 3.82776e30i 1.54308 + 0.622982i
\(85\) 1.10169e30 0.148374
\(86\) −2.15882e31 1.24639e31i −2.41124 1.39213i
\(87\) 2.98454e30 8.54589e30i 0.277057 0.793321i
\(88\) 1.98272e30 + 3.43418e30i 0.153299 + 0.265521i
\(89\) 1.57064e31 + 9.06811e30i 1.01353 + 0.585163i 0.912224 0.409692i \(-0.134364\pi\)
0.101308 + 0.994855i \(0.467697\pi\)
\(90\) 7.89316e30 5.28006e31i 0.425962 2.84943i
\(91\) 1.54200e31 2.39877e31i 0.697305 1.08474i
\(92\) 2.17129e31i 0.824353i
\(93\) −9.58768e30 5.05050e31i −0.306187 1.61290i
\(94\) −1.08362e31 1.87688e31i −0.291629 0.505116i
\(95\) −3.07318e31 + 1.77430e31i −0.698248 + 0.403134i
\(96\) 4.66472e31 8.85532e30i 0.896366 0.170163i
\(97\) 1.13132e32 1.84178 0.920889 0.389824i \(-0.127464\pi\)
0.920889 + 0.389824i \(0.127464\pi\)
\(98\) −1.12581e31 + 1.17601e32i −0.155542 + 1.62478i
\(99\) −2.38194e31 3.56076e30i −0.279749 0.0418196i
\(100\) −1.76043e32 + 3.04915e32i −1.76043 + 3.04915i
\(101\) −5.29567e30 + 3.05746e30i −0.0451626 + 0.0260747i −0.522411 0.852694i \(-0.674967\pi\)
0.477249 + 0.878768i \(0.341634\pi\)
\(102\) 1.77812e31 + 6.20987e30i 0.129527 + 0.0452355i
\(103\) −1.30530e32 + 2.26085e32i −0.813423 + 1.40889i 0.0970325 + 0.995281i \(0.469065\pi\)
−0.910455 + 0.413608i \(0.864268\pi\)
\(104\) 2.61799e32i 1.39777i
\(105\) 3.81548e32 5.37232e31i 1.74792 0.246112i
\(106\) −3.45947e32 −1.36181
\(107\) −3.05784e32 1.76544e32i −1.03580 0.598017i −0.117156 0.993113i \(-0.537378\pi\)
−0.918640 + 0.395096i \(0.870711\pi\)
\(108\) 2.65479e32 5.04523e32i 0.774909 1.47266i
\(109\) 2.04226e32 + 3.53729e32i 0.514383 + 0.890937i 0.999861 + 0.0166884i \(0.00531234\pi\)
−0.485478 + 0.874249i \(0.661354\pi\)
\(110\) 3.24294e32 + 1.87231e32i 0.705758 + 0.407469i
\(111\) −3.49843e32 + 3.01432e32i −0.658727 + 0.567574i
\(112\) −2.95190e31 5.72757e31i −0.0481518 0.0934291i
\(113\) 9.58920e32i 1.35684i 0.734676 + 0.678418i \(0.237334\pi\)
−0.734676 + 0.678418i \(0.762666\pi\)
\(114\) −5.96019e32 + 1.13146e32i −0.732457 + 0.139047i
\(115\) −4.09124e32 7.08624e32i −0.437210 0.757269i
\(116\) −1.30159e33 + 7.51474e32i −1.21101 + 0.699175i
\(117\) −1.24434e33 9.89868e32i −1.00917 0.802792i
\(118\) 1.64230e33 1.16236
\(119\) −6.48430e30 + 1.35779e32i −0.00400970 + 0.0839615i
\(120\) −2.67986e33 + 2.30903e33i −1.44948 + 1.24890i
\(121\) −9.71225e32 + 1.68221e33i −0.459996 + 0.796736i
\(122\) 5.94750e33 3.43379e33i 2.46932 1.42566i
\(123\) 9.68885e32 2.77429e33i 0.353013 1.01081i
\(124\) −4.26765e33 + 7.39179e33i −1.36597 + 2.36593i
\(125\) 6.99717e33i 1.96953i
\(126\) 6.46097e33 + 1.28357e33i 1.60092 + 0.318046i
\(127\) 1.40308e33 0.306352 0.153176 0.988199i \(-0.451050\pi\)
0.153176 + 0.988199i \(0.451050\pi\)
\(128\) −7.59860e33 4.38705e33i −1.46344 0.844916i
\(129\) −9.47068e33 3.30751e33i −1.61044 0.562427i
\(130\) 1.23610e34 + 2.14099e34i 1.85764 + 3.21752i
\(131\) −6.16649e31 3.56023e31i −0.00819780 0.00473300i 0.495895 0.868382i \(-0.334840\pi\)
−0.504093 + 0.863649i \(0.668173\pi\)
\(132\) 2.61018e33 + 3.02938e33i 0.307247 + 0.356592i
\(133\) −2.00586e33 3.89198e33i −0.209254 0.406017i
\(134\) 2.02471e34i 1.87364i
\(135\) −8.42247e32 2.14679e34i −0.0691989 1.76380i
\(136\) −6.23978e32 1.08076e33i −0.0455561 0.0789055i
\(137\) 1.66105e34 9.59009e33i 1.07858 0.622721i 0.148070 0.988977i \(-0.452694\pi\)
0.930514 + 0.366256i \(0.119360\pi\)
\(138\) −2.60896e33 1.37432e34i −0.150800 0.794370i
\(139\) −1.34452e34 −0.692357 −0.346178 0.938169i \(-0.612521\pi\)
−0.346178 + 0.938169i \(0.612521\pi\)
\(140\) −5.38149e34 3.45939e34i −2.47089 1.58837i
\(141\) −5.69292e33 6.60721e33i −0.233254 0.270715i
\(142\) 1.84935e34 3.20316e34i 0.676713 1.17210i
\(143\) 9.65844e33 5.57631e33i 0.315886 0.182377i
\(144\) −3.34286e33 + 1.31664e33i −0.0977953 + 0.0385183i
\(145\) −2.83192e34 + 4.90502e34i −0.741639 + 1.28456i
\(146\) 2.70136e34i 0.633777i
\(147\) 4.37544e33 + 4.73402e34i 0.0920331 + 0.995756i
\(148\) 7.66731e34 1.44696
\(149\) −9.48625e34 5.47689e34i −1.60736 0.928013i −0.989957 0.141370i \(-0.954849\pi\)
−0.617408 0.786643i \(-0.711817\pi\)
\(150\) −7.47886e34 + 2.14149e35i −1.13861 + 3.26028i
\(151\) −1.43530e34 2.48601e34i −0.196477 0.340308i 0.750907 0.660408i \(-0.229617\pi\)
−0.947384 + 0.320100i \(0.896283\pi\)
\(152\) 3.48117e34 + 2.00986e34i 0.428774 + 0.247553i
\(153\) 7.49616e33 + 1.12060e33i 0.0831334 + 0.0124276i
\(154\) −2.49841e34 + 3.88657e34i −0.249650 + 0.388360i
\(155\) 3.21652e35i 2.89787i
\(156\) 4.92374e34 + 2.59368e35i 0.400222 + 2.10825i
\(157\) 7.79356e34 + 1.34988e35i 0.571928 + 0.990608i 0.996368 + 0.0851523i \(0.0271377\pi\)
−0.424440 + 0.905456i \(0.639529\pi\)
\(158\) −1.49321e35 + 8.62108e34i −0.989940 + 0.571542i
\(159\) −1.36775e35 + 2.59649e34i −0.819698 + 0.155608i
\(160\) −2.97082e35 −1.61049
\(161\) 8.97426e34 4.62519e34i 0.440336 0.226942i
\(162\) 1.07413e35 3.51238e35i 0.477329 1.56085i
\(163\) 3.09232e34 5.35606e34i 0.124533 0.215697i −0.797018 0.603956i \(-0.793590\pi\)
0.921550 + 0.388259i \(0.126924\pi\)
\(164\) −4.22542e35 + 2.43955e35i −1.54301 + 0.890856i
\(165\) 1.42267e35 + 4.96848e34i 0.471368 + 0.164619i
\(166\) −1.13404e35 + 1.96422e35i −0.341115 + 0.590828i
\(167\) 2.12512e35i 0.580657i −0.956927 0.290329i \(-0.906235\pi\)
0.956927 0.290329i \(-0.0937646\pi\)
\(168\) −2.68804e35 3.43871e35i −0.667555 0.853978i
\(169\) 2.93518e35 0.662899
\(170\) −1.02058e35 5.89231e34i −0.209731 0.121088i
\(171\) −2.27153e35 + 8.94678e34i −0.424991 + 0.167390i
\(172\) 8.32795e35 + 1.44244e36i 1.41933 + 2.45835i
\(173\) 3.50539e35 + 2.02384e35i 0.544501 + 0.314368i 0.746901 0.664935i \(-0.231541\pi\)
−0.202400 + 0.979303i \(0.564874\pi\)
\(174\) −7.33548e35 + 6.32041e35i −1.03906 + 0.895277i
\(175\) −1.63525e36 7.80938e34i −2.11337 0.100927i
\(176\) 2.52002e34i 0.0297304i
\(177\) 6.49307e35 1.23262e35i 0.699645 0.132818i
\(178\) −9.69999e35 1.68009e36i −0.955105 1.65429i
\(179\) 8.20586e35 4.73766e35i 0.738713 0.426496i −0.0828883 0.996559i \(-0.526414\pi\)
0.821601 + 0.570063i \(0.193081\pi\)
\(180\) −2.22071e36 + 2.79159e36i −1.82865 + 2.29875i
\(181\) 9.54593e35 0.719384 0.359692 0.933071i \(-0.382882\pi\)
0.359692 + 0.933071i \(0.382882\pi\)
\(182\) −2.71143e36 + 1.39743e36i −1.87092 + 0.964243i
\(183\) 2.09371e36 1.80399e36i 1.32342 1.14029i
\(184\) −4.63440e35 + 8.02702e35i −0.268478 + 0.465017i
\(185\) 2.50231e36 1.44471e36i 1.32921 0.767418i
\(186\) −1.81304e36 + 5.19143e36i −0.883486 + 2.52976i
\(187\) −2.65814e34 + 4.60403e34i −0.0118881 + 0.0205908i
\(188\) 1.44807e36i 0.594652i
\(189\) 2.65078e36 + 2.25518e34i 0.999964 + 0.00850729i
\(190\) 3.79587e36 1.31599
\(191\) −2.23375e36 1.28966e36i −0.712034 0.411093i 0.0997796 0.995010i \(-0.468186\pi\)
−0.811814 + 0.583916i \(0.801520\pi\)
\(192\) −5.13330e36 1.79274e36i −1.50514 0.525651i
\(193\) −2.33931e35 4.05180e35i −0.0631205 0.109328i 0.832738 0.553667i \(-0.186772\pi\)
−0.895859 + 0.444339i \(0.853439\pi\)
\(194\) −1.04802e37 6.05076e36i −2.60341 1.50308i
\(195\) 6.49402e36 + 7.53698e36i 1.48580 + 1.72442i
\(196\) 4.58027e36 6.42882e36i 0.965593 1.35530i
\(197\) 7.34453e36i 1.42726i −0.700521 0.713632i \(-0.747049\pi\)
0.700521 0.713632i \(-0.252951\pi\)
\(198\) 2.01612e36 + 1.60382e36i 0.361304 + 0.287417i
\(199\) 2.90775e35 + 5.03638e35i 0.0480738 + 0.0832663i 0.889061 0.457789i \(-0.151358\pi\)
−0.840987 + 0.541055i \(0.818025\pi\)
\(200\) 1.30162e37 7.51489e36i 1.98611 1.14668i
\(201\) −1.51963e36 8.00498e36i −0.214093 1.12778i
\(202\) 6.54101e35 0.0851183
\(203\) −5.87853e36 3.77890e36i −0.706858 0.454390i
\(204\) −8.21445e35 9.53370e35i −0.0913052 0.105969i
\(205\) −9.19339e36 + 1.59234e37i −0.944961 + 1.63672i
\(206\) 2.41839e37 1.39626e37i 2.29960 1.32767i
\(207\) −2.06298e36 5.23777e36i −0.181539 0.460915i
\(208\) 8.31860e35 1.44082e36i 0.0677699 0.117381i
\(209\) 1.71239e36i 0.129200i
\(210\) −3.82189e37 1.54300e37i −2.67158 1.07859i
\(211\) 1.03329e36 0.0669427 0.0334714 0.999440i \(-0.489344\pi\)
0.0334714 + 0.999440i \(0.489344\pi\)
\(212\) 2.00181e37 + 1.15575e37i 1.20240 + 0.694206i
\(213\) 4.90754e36 1.40522e37i 0.273395 0.782835i
\(214\) 1.88846e37 + 3.27091e37i 0.976086 + 1.69063i
\(215\) 5.43582e37 + 3.13837e37i 2.60765 + 1.50553i
\(216\) −2.05830e37 + 1.29853e37i −0.916744 + 0.578349i
\(217\) −3.96421e37 1.89316e36i −1.63984 0.0783127i
\(218\) 4.36913e37i 1.67916i
\(219\) −2.02749e36 1.06802e37i −0.0724191 0.381482i
\(220\) −1.25101e37 2.16681e37i −0.415430 0.719545i
\(221\) −3.03959e36 + 1.75491e36i −0.0938725 + 0.0541973i
\(222\) 4.85303e37 9.21280e36i 1.39433 0.264694i
\(223\) −3.48450e37 −0.931671 −0.465835 0.884871i \(-0.654246\pi\)
−0.465835 + 0.884871i \(0.654246\pi\)
\(224\) 1.74855e36 3.66140e37i 0.0435221 0.911336i
\(225\) −1.34960e37 + 9.02800e37i −0.312812 + 2.09253i
\(226\) 5.12869e37 8.88316e37i 1.10732 1.91793i
\(227\) −4.82932e37 + 2.78821e37i −0.971566 + 0.560934i −0.899713 0.436482i \(-0.856224\pi\)
−0.0718524 + 0.997415i \(0.522891\pi\)
\(228\) 3.82684e37 + 1.33647e37i 0.717601 + 0.250613i
\(229\) 1.08271e37 1.87530e37i 0.189297 0.327871i −0.755719 0.654896i \(-0.772713\pi\)
0.945016 + 0.327024i \(0.106046\pi\)
\(230\) 8.75265e37i 1.42723i
\(231\) −6.96077e36 + 1.72413e37i −0.105893 + 0.262288i
\(232\) 6.41577e37 0.910838
\(233\) 1.29676e38 + 7.48687e37i 1.71856 + 0.992214i 0.921555 + 0.388247i \(0.126919\pi\)
0.797009 + 0.603967i \(0.206414\pi\)
\(234\) 6.23296e37 + 1.58251e38i 0.771331 + 1.95836i
\(235\) 2.72851e37 + 4.72591e37i 0.315384 + 0.546260i
\(236\) −9.50310e37 5.48662e37i −1.02630 0.592533i
\(237\) −5.25659e37 + 4.52920e37i −0.530555 + 0.457138i
\(238\) 7.86268e36 1.22313e37i 0.0741890 0.115410i
\(239\) 1.10853e38i 0.978093i −0.872258 0.489046i \(-0.837345\pi\)
0.872258 0.489046i \(-0.162655\pi\)
\(240\) 2.20856e37 4.19265e36i 0.182276 0.0346026i
\(241\) −6.84728e37 1.18598e38i −0.528744 0.915811i −0.999438 0.0335151i \(-0.989330\pi\)
0.470694 0.882296i \(-0.344004\pi\)
\(242\) 1.79943e38 1.03890e38i 1.30044 0.750807i
\(243\) 1.61055e37 1.46929e38i 0.108962 0.994046i
\(244\) −4.58866e38 −2.90703
\(245\) 2.83474e37 2.96115e38i 0.168211 1.75712i
\(246\) −2.38135e38 + 2.05182e38i −1.32392 + 1.14072i
\(247\) 5.65262e37 9.79063e37i 0.294509 0.510105i
\(248\) 3.15540e38 1.82177e38i 1.54109 0.889748i
\(249\) −3.00937e37 + 8.61699e37i −0.137812 + 0.394608i
\(250\) 3.74237e38 6.48198e38i 1.60734 2.78399i
\(251\) 8.97460e37i 0.361606i 0.983519 + 0.180803i \(0.0578696\pi\)
−0.983519 + 0.180803i \(0.942130\pi\)
\(252\) −3.30980e38 2.90122e38i −1.25139 1.09691i
\(253\) 3.94850e37 0.140121
\(254\) −1.29977e38 7.50422e37i −0.433039 0.250015i
\(255\) −4.47725e37 1.56362e37i −0.140078 0.0489202i
\(256\) 1.98021e38 + 3.42982e38i 0.581930 + 1.00793i
\(257\) −1.57374e38 9.08601e37i −0.434514 0.250867i 0.266754 0.963765i \(-0.414049\pi\)
−0.701268 + 0.712898i \(0.747382\pi\)
\(258\) 7.00437e38 + 8.12929e38i 1.81741 + 2.10929i
\(259\) 1.63325e38 + 3.16901e38i 0.398343 + 0.772906i
\(260\) 1.65184e39i 3.78786i
\(261\) −2.42581e38 + 3.04943e38i −0.523130 + 0.657613i
\(262\) 3.80831e36 + 6.59618e36i 0.00772523 + 0.0133805i
\(263\) 9.44717e37 5.45433e37i 0.180306 0.104100i −0.407131 0.913370i \(-0.633471\pi\)
0.587436 + 0.809270i \(0.300137\pi\)
\(264\) −3.18363e37 1.67704e38i −0.0571821 0.301218i
\(265\) 8.71082e38 1.47274
\(266\) −2.23416e37 + 4.67823e38i −0.0355637 + 0.744690i
\(267\) −5.09601e38 5.91444e38i −0.763925 0.886612i
\(268\) −6.76417e38 + 1.17159e39i −0.955120 + 1.65432i
\(269\) 2.34069e38 1.35140e38i 0.311391 0.179782i −0.336158 0.941806i \(-0.609127\pi\)
0.647549 + 0.762024i \(0.275794\pi\)
\(270\) −1.07017e39 + 2.03377e39i −1.34163 + 2.54966i
\(271\) 5.37612e38 9.31171e38i 0.635273 1.10032i −0.351185 0.936306i \(-0.614221\pi\)
0.986457 0.164018i \(-0.0524456\pi\)
\(272\) 7.93069e36i 0.00883504i
\(273\) −9.67119e38 + 7.55997e38i −1.01596 + 0.794178i
\(274\) −2.05167e39 −2.03282
\(275\) −5.54487e38 3.20133e38i −0.518285 0.299232i
\(276\) −3.08169e38 + 8.82406e38i −0.271796 + 0.778258i
\(277\) 3.46013e38 + 5.99313e38i 0.288016 + 0.498858i 0.973336 0.229384i \(-0.0736710\pi\)
−0.685320 + 0.728242i \(0.740338\pi\)
\(278\) 1.24552e39 + 7.19103e38i 0.978667 + 0.565034i
\(279\) −3.27171e38 + 2.18858e39i −0.242721 + 1.62366i
\(280\) 1.25110e39 + 2.42752e39i 0.876525 + 1.70072i
\(281\) 1.59127e39i 1.05304i 0.850163 + 0.526519i \(0.176503\pi\)
−0.850163 + 0.526519i \(0.823497\pi\)
\(282\) 1.73995e38 + 9.16554e38i 0.108781 + 0.573023i
\(283\) −7.02502e38 1.21677e39i −0.415016 0.718828i 0.580414 0.814321i \(-0.302891\pi\)
−0.995430 + 0.0954929i \(0.969557\pi\)
\(284\) −2.14023e39 + 1.23566e39i −1.19500 + 0.689933i
\(285\) 1.50075e39 2.84897e38i 0.792121 0.150373i
\(286\) −1.19297e39 −0.595353
\(287\) −1.90838e39 1.22676e39i −0.900645 0.578962i
\(288\) −2.02141e39 3.02180e38i −0.902348 0.134892i
\(289\) −1.17559e39 + 2.03618e39i −0.496467 + 0.859906i
\(290\) 5.24681e39 3.02925e39i 2.09666 1.21051i
\(291\) −4.59764e39 1.60567e39i −1.73879 0.607250i
\(292\) −9.02474e38 + 1.56313e39i −0.323079 + 0.559590i
\(293\) 3.49177e38i 0.118349i 0.998248 + 0.0591744i \(0.0188468\pi\)
−0.998248 + 0.0591744i \(0.981153\pi\)
\(294\) 2.12662e39 4.61948e39i 0.682547 1.48264i
\(295\) −4.13524e39 −1.25704
\(296\) −2.83451e39 1.63651e39i −0.816227 0.471249i
\(297\) 9.17475e38 + 4.82774e38i 0.250317 + 0.131717i
\(298\) 5.85853e39 + 1.01473e40i 1.51471 + 2.62355i
\(299\) 2.25756e39 + 1.30340e39i 0.553222 + 0.319403i
\(300\) 1.14819e40 9.89308e39i 2.66732 2.29822i
\(301\) −4.18784e39 + 6.51468e39i −0.922414 + 1.43492i
\(302\) 3.07062e39i 0.641380i
\(303\) 2.58609e38 4.90933e37i 0.0512343 0.00972613i
\(304\) −1.27725e38 2.21227e38i −0.0240049 0.0415777i
\(305\) −1.49756e40 + 8.64615e39i −2.67046 + 1.54179i
\(306\) −6.34488e38 5.04734e38i −0.107369 0.0854122i
\(307\) −2.41833e39 −0.388420 −0.194210 0.980960i \(-0.562214\pi\)
−0.194210 + 0.980960i \(0.562214\pi\)
\(308\) 2.74412e39 1.41428e39i 0.418401 0.215637i
\(309\) 8.51352e39 7.33543e39i 1.23246 1.06192i
\(310\) 1.72032e40 2.97969e40i 2.36496 4.09622i
\(311\) −1.06884e40 + 6.17097e39i −1.39556 + 0.805726i −0.993923 0.110073i \(-0.964891\pi\)
−0.401635 + 0.915800i \(0.631558\pi\)
\(312\) 3.71568e39 1.06394e40i 0.460856 1.31961i
\(313\) −2.47982e39 + 4.29518e39i −0.292221 + 0.506142i −0.974335 0.225105i \(-0.927728\pi\)
0.682114 + 0.731246i \(0.261061\pi\)
\(314\) 1.66732e40i 1.86701i
\(315\) −1.62685e40 3.23197e39i −1.73132 0.343953i
\(316\) 1.15206e40 1.16542
\(317\) 6.76836e38 + 3.90772e38i 0.0650932 + 0.0375816i 0.532193 0.846623i \(-0.321368\pi\)
−0.467100 + 0.884204i \(0.654701\pi\)
\(318\) 1.40592e40 + 4.90999e39i 1.28566 + 0.449000i
\(319\) −1.36655e39 2.36694e39i −0.118844 0.205843i
\(320\) 2.94633e40 + 1.70106e40i 2.43715 + 1.40709i
\(321\) 9.92129e39 + 1.15147e40i 0.780706 + 0.906089i
\(322\) −1.07872e40 5.15159e38i −0.807637 0.0385698i
\(323\) 5.38903e38i 0.0383946i
\(324\) −1.79496e40 + 1.67357e40i −1.21713 + 1.13481i
\(325\) −2.11352e40 3.66073e40i −1.36419 2.36284i
\(326\) −5.72927e39 + 3.30780e39i −0.352061 + 0.203263i
\(327\) −3.27923e39 1.72740e40i −0.191870 1.01072i
\(328\) 2.08278e40 1.16055
\(329\) −5.98506e39 + 3.08460e39i −0.317639 + 0.163706i
\(330\) −1.05218e40 1.22117e40i −0.531947 0.617379i
\(331\) 1.37745e40 2.38582e40i 0.663482 1.14918i −0.316213 0.948688i \(-0.602411\pi\)
0.979695 0.200496i \(-0.0642553\pi\)
\(332\) 1.31242e40 7.57726e39i 0.602370 0.347779i
\(333\) 1.84957e40 7.28483e39i 0.809027 0.318649i
\(334\) −1.13660e40 + 1.96865e40i −0.473876 + 0.820777i
\(335\) 5.09814e40i 2.02626i
\(336\) 3.86734e38 + 2.74662e39i 0.0146549 + 0.104081i
\(337\) −1.69301e40 −0.611761 −0.305880 0.952070i \(-0.598951\pi\)
−0.305880 + 0.952070i \(0.598951\pi\)
\(338\) −2.71907e40 1.56985e40i −0.937028 0.540993i
\(339\) 1.36098e40 3.89702e40i 0.447360 1.28097i
\(340\) 3.93702e39 + 6.81913e39i 0.123454 + 0.213829i
\(341\) −1.34420e40 7.76072e39i −0.402154 0.232184i
\(342\) 2.58279e40 + 3.86101e39i 0.737345 + 0.110226i
\(343\) 3.63279e40 + 5.23654e39i 0.989770 + 0.142672i
\(344\) 7.11005e40i 1.84900i
\(345\) 6.56926e39 + 3.46049e40i 0.163084 + 0.859077i
\(346\) −2.16486e40 3.74965e40i −0.513112 0.888737i
\(347\) −1.76311e40 + 1.01793e40i −0.399032 + 0.230381i −0.686066 0.727539i \(-0.740664\pi\)
0.287034 + 0.957920i \(0.407331\pi\)
\(348\) 6.35618e40 1.20663e40i 1.37381 0.260800i
\(349\) −6.96512e40 −1.43788 −0.718938 0.695074i \(-0.755372\pi\)
−0.718938 + 0.695074i \(0.755372\pi\)
\(350\) 1.47308e41 + 9.46943e40i 2.90495 + 1.86739i
\(351\) 3.65204e40 + 5.78886e40i 0.688052 + 1.09063i
\(352\) 7.16792e39 1.24152e40i 0.129036 0.223497i
\(353\) −1.45659e40 + 8.40964e39i −0.250578 + 0.144671i −0.620029 0.784579i \(-0.712879\pi\)
0.369451 + 0.929250i \(0.379546\pi\)
\(354\) −6.67425e40 2.33089e40i −1.09736 0.383239i
\(355\) −4.65658e40 + 8.06543e40i −0.731835 + 1.26758i
\(356\) 1.29623e41i 1.94753i
\(357\) 2.19061e39 5.42597e39i 0.0314683 0.0779446i
\(358\) −1.01356e41 −1.39226
\(359\) −8.76439e39 5.06012e39i −0.115136 0.0664737i 0.441326 0.897347i \(-0.354508\pi\)
−0.556462 + 0.830873i \(0.687842\pi\)
\(360\) 1.41680e41 5.58032e40i 1.78020 0.701163i
\(361\) 3.29201e40 + 5.70193e40i 0.395681 + 0.685340i
\(362\) −8.84307e40 5.10555e40i −1.01687 0.587091i
\(363\) 6.33457e40 5.45800e40i 0.696965 0.600520i
\(364\) 2.03581e41 + 9.72230e39i 2.14346 + 0.102364i
\(365\) 6.80192e40i 0.685402i
\(366\) −2.90440e41 + 5.51359e40i −2.80129 + 0.531787i
\(367\) −2.20022e40 3.81089e40i −0.203146 0.351860i 0.746394 0.665504i \(-0.231783\pi\)
−0.949540 + 0.313644i \(0.898450\pi\)
\(368\) 5.10112e39 2.94513e39i 0.0450921 0.0260339i
\(369\) −7.87503e40 + 9.89950e40i −0.666547 + 0.837899i
\(370\) −3.09075e41 −2.50517
\(371\) −5.12697e39 + 1.07357e41i −0.0397996 + 0.833387i
\(372\) 2.78347e41 2.39830e41i 2.06966 1.78326i
\(373\) 3.78324e40 6.55277e40i 0.269478 0.466749i −0.699249 0.714878i \(-0.746482\pi\)
0.968727 + 0.248129i \(0.0798156\pi\)
\(374\) 4.92485e39 2.84336e39i 0.0336083 0.0194038i
\(375\) 9.93100e40 2.84363e41i 0.649371 1.85940i
\(376\) 3.09074e40 5.35333e40i 0.193668 0.335443i
\(377\) 1.80440e41i 1.08361i
\(378\) −2.44354e41 1.43863e41i −1.40654 0.828098i
\(379\) 5.56634e40 0.307144 0.153572 0.988137i \(-0.450922\pi\)
0.153572 + 0.988137i \(0.450922\pi\)
\(380\) −2.19647e41 1.26813e41i −1.16195 0.670851i
\(381\) −5.70205e40 1.99137e40i −0.289222 0.101007i
\(382\) 1.37952e41 + 2.38940e41i 0.670988 + 1.16219i
\(383\) −2.97705e41 1.71880e41i −1.38869 0.801761i −0.395522 0.918456i \(-0.629436\pi\)
−0.993168 + 0.116696i \(0.962770\pi\)
\(384\) 2.46540e41 + 2.86134e41i 1.10303 + 1.28018i
\(385\) 6.29089e40 9.78623e40i 0.269986 0.419995i
\(386\) 5.00463e40i 0.206051i
\(387\) 3.37942e41 + 2.68832e41i 1.33496 + 1.06195i
\(388\) 4.04289e41 + 7.00249e41i 1.53244 + 2.65427i
\(389\) −3.11799e41 + 1.80017e41i −1.13418 + 0.654818i −0.944982 0.327121i \(-0.893921\pi\)
−0.189196 + 0.981939i \(0.560588\pi\)
\(390\) −1.98480e41 1.04553e42i −0.692918 3.65009i
\(391\) −1.24262e40 −0.0416400
\(392\) −3.06544e41 + 1.39905e41i −0.986087 + 0.450044i
\(393\) 2.00074e39 + 2.32207e39i 0.00617889 + 0.00717123i
\(394\) −3.92815e41 + 6.80376e41i −1.16479 + 2.01748i
\(395\) 3.75986e41 2.17075e41i 1.07058 0.618098i
\(396\) −6.30813e40 1.60159e41i −0.172495 0.437954i
\(397\) −9.64942e40 + 1.67133e41i −0.253427 + 0.438949i −0.964467 0.264203i \(-0.914891\pi\)
0.711040 + 0.703152i \(0.248224\pi\)
\(398\) 6.22074e40i 0.156933i
\(399\) 2.62792e40 + 1.86638e41i 0.0636862 + 0.452306i
\(400\) −9.55134e40 −0.222384
\(401\) −5.12814e39 2.96073e39i −0.0114723 0.00662353i 0.494253 0.869318i \(-0.335442\pi\)
−0.505725 + 0.862695i \(0.668775\pi\)
\(402\) −2.87364e41 + 8.22835e41i −0.617754 + 1.76887i
\(403\) −5.12364e41 8.87441e41i −1.05852 1.83341i
\(404\) −3.78493e40 2.18523e40i −0.0751547 0.0433906i
\(405\) −2.70463e41 + 8.84403e41i −0.516211 + 1.68799i
\(406\) 3.42459e41 + 6.64475e41i 0.628337 + 1.21916i
\(407\) 1.39430e41i 0.245949i
\(408\) 1.00191e40 + 5.27779e40i 0.0169929 + 0.0895136i
\(409\) 4.39838e41 + 7.61822e41i 0.717331 + 1.24245i 0.962053 + 0.272861i \(0.0879700\pi\)
−0.244722 + 0.969593i \(0.578697\pi\)
\(410\) 1.70330e42 9.83399e41i 2.67146 1.54237i
\(411\) −8.11157e41 + 1.53987e41i −1.22359 + 0.232282i
\(412\) −1.86586e42 −2.70722
\(413\) 2.43390e40 5.09649e41i 0.0339705 0.711329i
\(414\) −8.90285e40 + 5.95548e41i −0.119543 + 0.799671i
\(415\) 2.85548e41 4.94583e41i 0.368900 0.638954i
\(416\) 8.19653e41 4.73227e41i 1.01891 0.588269i
\(417\) 5.46408e41 + 1.90826e41i 0.653642 + 0.228276i
\(418\) −9.15857e40 + 1.58631e41i −0.105440 + 0.182628i
\(419\) 4.36712e41i 0.483916i −0.970287 0.241958i \(-0.922210\pi\)
0.970287 0.241958i \(-0.0777897\pi\)
\(420\) 1.69603e42 + 2.16967e42i 1.80903 + 2.31422i
\(421\) 6.43874e41 0.661130 0.330565 0.943783i \(-0.392761\pi\)
0.330565 + 0.943783i \(0.392761\pi\)
\(422\) −9.57211e40 5.52646e40i −0.0946256 0.0546321i
\(423\) 1.37583e41 + 3.49314e41i 0.130954 + 0.332483i
\(424\) −4.93364e41 8.54531e41i −0.452182 0.783203i
\(425\) 1.74501e41 + 1.00748e41i 0.154020 + 0.0889233i
\(426\) −1.20619e42 + 1.03928e42i −1.02532 + 0.883442i
\(427\) −9.77455e41 1.89656e42i −0.800296 1.55282i
\(428\) 2.52360e42i 1.99031i
\(429\) −4.71660e41 + 8.95381e40i −0.358354 + 0.0680285i
\(430\) −3.35706e42 5.81460e42i −2.45733 4.25622i
\(431\) −1.04544e42 + 6.03584e41i −0.737330 + 0.425698i −0.821098 0.570788i \(-0.806638\pi\)
0.0837677 + 0.996485i \(0.473305\pi\)
\(432\) 1.54540e41 6.06303e39i 0.105027 0.00412050i
\(433\) 1.76577e42 1.15645 0.578225 0.815877i \(-0.303746\pi\)
0.578225 + 0.815877i \(0.303746\pi\)
\(434\) 3.57107e42 + 2.29560e42i 2.25405 + 1.44897i
\(435\) 1.84705e42 1.59145e42i 1.12370 0.968203i
\(436\) −1.45965e42 + 2.52818e42i −0.855980 + 1.48260i
\(437\) 3.46630e41 2.00127e41i 0.195958 0.113136i
\(438\) −3.83401e41 + 1.09782e42i −0.208962 + 0.598338i
\(439\) −1.18563e42 + 2.05358e42i −0.623043 + 1.07914i 0.365873 + 0.930665i \(0.380771\pi\)
−0.988916 + 0.148477i \(0.952563\pi\)
\(440\) 1.06806e42i 0.541193i
\(441\) 4.94077e41 1.98599e42i 0.241422 0.970420i
\(442\) 3.75438e41 0.176922
\(443\) −1.85362e42 1.07019e42i −0.842485 0.486409i 0.0156234 0.999878i \(-0.495027\pi\)
−0.858108 + 0.513469i \(0.828360\pi\)
\(444\) −3.11597e42 1.08821e42i −1.36605 0.477074i
\(445\) 2.44242e42 + 4.23040e42i 1.03290 + 1.78904i
\(446\) 3.22794e42 + 1.86365e42i 1.31695 + 0.760339i
\(447\) 3.07785e42 + 3.57216e42i 1.21151 + 1.40608i
\(448\) −2.26989e42 + 3.53109e42i −0.862099 + 1.34110i
\(449\) 2.83765e41i 0.103996i 0.998647 + 0.0519981i \(0.0165590\pi\)
−0.998647 + 0.0519981i \(0.983441\pi\)
\(450\) 6.07877e42 7.64146e42i 2.14989 2.70257i
\(451\) −4.43631e41 7.68392e41i −0.151425 0.262276i
\(452\) −5.93540e42 + 3.42680e42i −1.95540 + 1.12895i
\(453\) 2.30464e41 + 1.21402e42i 0.0732879 + 0.386058i
\(454\) 5.96499e42 1.83112
\(455\) 6.82727e42 3.51866e42i 2.02332 1.04279i
\(456\) −1.12948e42 1.31088e42i −0.323178 0.375081i
\(457\) −2.16814e42 + 3.75533e42i −0.599002 + 1.03750i 0.393966 + 0.919125i \(0.371103\pi\)
−0.992969 + 0.118377i \(0.962231\pi\)
\(458\) −2.00597e42 + 1.15815e42i −0.535153 + 0.308971i
\(459\) −2.88737e41 1.51933e41i −0.0743873 0.0391425i
\(460\) 2.92410e42 5.06469e42i 0.727557 1.26016i
\(461\) 8.16514e42i 1.96223i −0.193435 0.981113i \(-0.561963\pi\)
0.193435 0.981113i \(-0.438037\pi\)
\(462\) 1.56696e42 1.22489e42i 0.363736 0.284333i
\(463\) 7.33114e42 1.64390 0.821950 0.569560i \(-0.192886\pi\)
0.821950 + 0.569560i \(0.192886\pi\)
\(464\) −3.53095e41 2.03859e41i −0.0764898 0.0441614i
\(465\) 4.56516e42 1.30718e43i 0.955452 2.73583i
\(466\) −8.00856e42 1.38712e43i −1.61950 2.80505i
\(467\) −7.50614e42 4.33367e42i −1.46672 0.846810i −0.467411 0.884040i \(-0.654813\pi\)
−0.999307 + 0.0372302i \(0.988147\pi\)
\(468\) 1.68018e42 1.12394e43i 0.317265 2.12232i
\(469\) −6.28321e42 3.00064e41i −1.14661 0.0547581i
\(470\) 5.83726e42i 1.02954i
\(471\) −1.25140e42 6.59201e42i −0.213335 1.12379i
\(472\) 2.34212e42 + 4.05667e42i 0.385956 + 0.668495i
\(473\) −2.62308e42 + 1.51444e42i −0.417862 + 0.241253i
\(474\) 7.29195e42 1.38428e42i 1.12303 0.213191i
\(475\) −6.49029e42 −0.966421
\(476\) −8.63598e41 + 4.45084e41i −0.124337 + 0.0640812i
\(477\) 5.92702e42 + 8.86030e41i 0.825168 + 0.123354i
\(478\) −5.92886e42 + 1.02691e43i −0.798224 + 1.38256i
\(479\) −1.10015e43 + 6.35173e42i −1.43247 + 0.827035i −0.997309 0.0733187i \(-0.976641\pi\)
−0.435158 + 0.900354i \(0.643308\pi\)
\(480\) 1.20733e43 + 4.21645e42i 1.52043 + 0.530991i
\(481\) −4.60259e42 + 7.97193e42i −0.560637 + 0.971051i
\(482\) 1.46488e43i 1.72604i
\(483\) −4.30356e42 + 6.05955e41i −0.490539 + 0.0690695i
\(484\) −1.38831e43 −1.53095
\(485\) 2.63888e43 + 1.52356e43i 2.81547 + 1.62551i
\(486\) −9.35031e42 + 1.27497e43i −0.965264 + 1.31619i
\(487\) 4.42014e42 + 7.65590e42i 0.441542 + 0.764774i 0.997804 0.0662332i \(-0.0210981\pi\)
−0.556262 + 0.831007i \(0.687765\pi\)
\(488\) 1.69637e43 + 9.79402e42i 1.63985 + 0.946768i
\(489\) −2.01689e42 + 1.73779e42i −0.188686 + 0.162576i
\(490\) −1.84634e43 + 2.59151e43i −1.67176 + 2.34647i
\(491\) 5.96901e42i 0.523116i −0.965188 0.261558i \(-0.915764\pi\)
0.965188 0.261558i \(-0.0842363\pi\)
\(492\) 2.06344e43 3.91715e42i 1.75045 0.332299i
\(493\) 4.30065e41 + 7.44895e41i 0.0353170 + 0.0611709i
\(494\) −1.04729e43 + 6.04650e42i −0.832595 + 0.480699i
\(495\) −5.07651e42 4.03835e42i −0.390734 0.310829i
\(496\) −2.31545e42 −0.172555
\(497\) −9.66619e42 6.21373e42i −0.697515 0.448384i
\(498\) 7.39651e42 6.37299e42i 0.516841 0.445322i
\(499\) −5.15220e42 + 8.92387e42i −0.348645 + 0.603872i −0.986009 0.166691i \(-0.946692\pi\)
0.637364 + 0.770563i \(0.280025\pi\)
\(500\) −4.33102e43 + 2.50051e43i −2.83838 + 1.63874i
\(501\) −3.01616e42 + 8.63642e42i −0.191448 + 0.548188i
\(502\) 4.79998e42 8.31381e42i 0.295107 0.511141i
\(503\) 3.98492e42i 0.237318i −0.992935 0.118659i \(-0.962140\pi\)
0.992935 0.118659i \(-0.0378596\pi\)
\(504\) 6.04358e42 + 1.77899e43i 0.348663 + 1.02632i
\(505\) −1.64700e42 −0.0920518
\(506\) −3.65777e42 2.11182e42i −0.198065 0.114353i
\(507\) −1.19285e43 4.16586e42i −0.625831 0.218564i
\(508\) 5.01404e42 + 8.68457e42i 0.254899 + 0.441498i
\(509\) 2.49879e43 + 1.44268e43i 1.23096 + 0.710698i 0.967231 0.253898i \(-0.0817127\pi\)
0.263734 + 0.964596i \(0.415046\pi\)
\(510\) 3.31131e42 + 3.84311e42i 0.158080 + 0.183468i
\(511\) −8.38305e42 4.00344e41i −0.387853 0.0185225i
\(512\) 4.67930e42i 0.209827i
\(513\) 1.05012e43 4.11993e41i 0.456417 0.0179065i
\(514\) 9.71913e42 + 1.68340e43i 0.409466 + 0.709216i
\(515\) −6.08942e43 + 3.51573e43i −2.48691 + 1.43582i
\(516\) −1.33721e43 7.04401e43i −0.529424 2.78885i
\(517\) −2.63331e42 −0.101077
\(518\) 1.81914e42 3.80921e43i 0.0677002 1.41762i
\(519\) −1.13734e43 1.32000e43i −0.410404 0.476316i
\(520\) −3.52567e43 + 6.10664e43i −1.23364 + 2.13673i
\(521\) 4.48791e43 2.59110e43i 1.52279 0.879185i 0.523155 0.852237i \(-0.324755\pi\)
0.999637 0.0269472i \(-0.00857861\pi\)
\(522\) 3.87816e43 1.52748e43i 1.27614 0.502628i
\(523\) 3.00210e43 5.19979e43i 0.958073 1.65943i 0.230898 0.972978i \(-0.425834\pi\)
0.727175 0.686452i \(-0.240833\pi\)
\(524\) 5.08914e41i 0.0157523i
\(525\) 6.53477e43 + 2.63826e43i 1.96192 + 0.792080i
\(526\) −1.16688e43 −0.339824
\(527\) 4.23029e42 + 2.44236e42i 0.119509 + 0.0689985i
\(528\) −3.57663e41 + 1.02413e42i −0.00980237 + 0.0280680i
\(529\) −1.41899e43 2.45776e43i −0.377301 0.653504i
\(530\) −8.06945e43 4.65890e43i −2.08176 1.20190i
\(531\) −2.81370e43 4.20621e42i −0.704314 0.105288i
\(532\) 1.69219e43 2.63240e43i 0.411020 0.639390i
\(533\) 5.85772e43i 1.38068i
\(534\) 1.55752e43 + 8.20453e43i 0.356264 + 1.87669i
\(535\) −4.75508e43 8.23604e43i −1.05559 1.82834i
\(536\) 5.00127e43 2.88748e43i 1.07757 0.622133i
\(537\) −4.00724e43 + 7.60720e42i −0.838025 + 0.159088i
\(538\) −2.89112e43 −0.586881
\(539\) 1.16908e43 + 8.32922e42i 0.230369 + 0.164129i
\(540\) 1.29869e44 8.19311e43i 2.48432 1.56729i
\(541\) −1.40575e43 + 2.43484e43i −0.261068 + 0.452182i −0.966526 0.256569i \(-0.917408\pi\)
0.705458 + 0.708751i \(0.250741\pi\)
\(542\) −9.96056e43 + 5.75073e43i −1.79595 + 1.03689i
\(543\) −3.87943e43 1.35484e43i −0.679158 0.237187i
\(544\) −2.25580e42 + 3.90716e42i −0.0383458 + 0.0664169i
\(545\) 1.10013e44i 1.81593i
\(546\) 1.30025e44 1.83079e43i 2.08422 0.293466i
\(547\) 1.20227e44 1.87157 0.935786 0.352569i \(-0.114692\pi\)
0.935786 + 0.352569i \(0.114692\pi\)
\(548\) 1.18719e44 + 6.85424e43i 1.79486 + 1.03626i
\(549\) −1.10691e44 + 4.35976e43i −1.62538 + 0.640185i
\(550\) 3.42441e43 + 5.93124e43i 0.488407 + 0.845946i
\(551\) −2.39934e43 1.38526e43i −0.332403 0.191913i
\(552\) 3.02267e43 2.60440e43i 0.406785 0.350495i
\(553\) 2.45406e43 + 4.76161e43i 0.320836 + 0.622518i
\(554\) 7.40248e43i 0.940202i
\(555\) −1.22197e44 + 2.31975e43i −1.50791 + 0.286255i
\(556\) −4.80478e43 8.32213e43i −0.576072 0.997787i
\(557\) 1.00631e44 5.80991e43i 1.17232 0.676840i 0.218096 0.975927i \(-0.430015\pi\)
0.954226 + 0.299087i \(0.0966821\pi\)
\(558\) 1.47363e44 1.85246e44i 1.66817 2.09701i
\(559\) −1.99967e44 −2.19973
\(560\) 8.27871e41 1.73353e43i 0.00885022 0.185320i
\(561\) 1.73370e42 1.49380e42i 0.0180123 0.0155198i
\(562\) 8.51079e43 1.47411e44i 0.859387 1.48850i
\(563\) −7.83667e43 + 4.52451e43i −0.769126 + 0.444055i −0.832563 0.553931i \(-0.813127\pi\)
0.0634368 + 0.997986i \(0.479794\pi\)
\(564\) 2.05522e43 5.88489e43i 0.196062 0.561400i
\(565\) −1.29139e44 + 2.23675e44i −1.19751 + 2.07416i
\(566\) 1.50291e44i 1.35478i
\(567\) −1.07407e44 3.85386e43i −0.941244 0.337728i
\(568\) 1.05496e44 0.898798
\(569\) 9.63133e43 + 5.56065e43i 0.797792 + 0.460606i 0.842699 0.538386i \(-0.180966\pi\)
−0.0449063 + 0.998991i \(0.514299\pi\)
\(570\) −1.54263e44 5.38743e43i −1.24241 0.433894i
\(571\) −2.61198e43 4.52408e43i −0.204546 0.354285i 0.745442 0.666571i \(-0.232239\pi\)
−0.949988 + 0.312286i \(0.898905\pi\)
\(572\) 6.90310e43 + 3.98551e43i 0.525663 + 0.303492i
\(573\) 7.24749e43 + 8.41146e43i 0.536678 + 0.622870i
\(574\) 1.11174e44 + 2.15712e44i 0.800596 + 1.55340i
\(575\) 1.49655e44i 1.04811i
\(576\) 1.83172e44 + 1.45713e44i 1.24767 + 0.992516i
\(577\) 4.67104e42 + 8.09049e42i 0.0309457 + 0.0535996i 0.881084 0.472961i \(-0.156815\pi\)
−0.850138 + 0.526560i \(0.823481\pi\)
\(578\) 2.17807e44 1.25751e44i 1.40354 0.810336i
\(579\) 3.75620e42 + 1.97865e43i 0.0235446 + 0.124026i
\(580\) −4.04806e44 −2.46831
\(581\) 5.92744e43 + 3.81034e43i 0.351600 + 0.226019i
\(582\) 3.40035e44 + 3.94645e44i 1.96226 + 2.27740i
\(583\) −2.10172e43 + 3.64029e43i −0.117999 + 0.204380i
\(584\) 6.67268e43 3.85247e43i 0.364498 0.210443i
\(585\) −1.56944e44 3.98469e44i −0.834161 2.11788i
\(586\) 1.86754e43 3.23468e43i 0.0965847 0.167290i
\(587\) 1.58296e44i 0.796637i −0.917247 0.398318i \(-0.869594\pi\)
0.917247 0.398318i \(-0.130406\pi\)
\(588\) −2.77384e44 + 1.96258e44i −1.35845 + 0.961147i
\(589\) −1.57339e44 −0.749878
\(590\) 3.83077e44 + 2.21170e44i 1.77686 + 1.02587i
\(591\) −1.04240e44 + 2.98479e44i −0.470581 + 1.34746i
\(592\) 1.03999e43 + 1.80132e43i 0.0456964 + 0.0791485i
\(593\) −3.48453e44 2.01180e44i −1.49029 0.860417i −0.490347 0.871527i \(-0.663130\pi\)
−0.999938 + 0.0111101i \(0.996463\pi\)
\(594\) −5.91716e43 9.37931e43i −0.246337 0.390470i
\(595\) −1.97979e43 + 3.07980e43i −0.0802321 + 0.124811i
\(596\) 7.82891e44i 3.08859i
\(597\) −4.66895e42 2.45946e43i −0.0179320 0.0944606i
\(598\) −1.39422e44 2.41487e44i −0.521331 0.902972i
\(599\) 1.30752e44 7.54898e43i 0.476014 0.274827i −0.242740 0.970091i \(-0.578046\pi\)
0.718754 + 0.695265i \(0.244713\pi\)
\(600\) −6.35631e44 + 1.20666e44i −2.25312 + 0.427724i
\(601\) 3.58039e42 0.0123577 0.00617887 0.999981i \(-0.498033\pi\)
0.00617887 + 0.999981i \(0.498033\pi\)
\(602\) 7.36381e44 3.79519e44i 2.47490 1.27553i
\(603\) −5.18562e43 + 3.46888e44i −0.169716 + 1.13530i
\(604\) 1.02584e44 1.77680e44i 0.326955 0.566303i
\(605\) −4.53090e44 + 2.61591e44i −1.40637 + 0.811965i
\(606\) −2.65825e43 9.28358e42i −0.0803588 0.0280643i
\(607\) 1.50788e44 2.61172e44i 0.443963 0.768967i −0.554016 0.832506i \(-0.686905\pi\)
0.997979 + 0.0635390i \(0.0202387\pi\)
\(608\) 1.45320e44i 0.416744i
\(609\) 1.85268e44 + 2.37007e44i 0.517516 + 0.662039i
\(610\) 1.84972e45 5.03303
\(611\) −1.50560e44 8.69256e43i −0.399070 0.230403i
\(612\) 1.98522e43 + 5.04033e43i 0.0512608 + 0.130148i
\(613\) −1.41091e44 2.44377e44i −0.354921 0.614741i 0.632183 0.774819i \(-0.282159\pi\)
−0.987104 + 0.160077i \(0.948826\pi\)
\(614\) 2.24027e44 + 1.29342e44i 0.549043 + 0.316990i
\(615\) 5.99615e44 5.16642e44i 1.43176 1.23364i
\(616\) −1.31633e44 6.28633e42i −0.306249 0.0146253i
\(617\) 6.54373e44i 1.48341i −0.670724 0.741707i \(-0.734016\pi\)
0.670724 0.741707i \(-0.265984\pi\)
\(618\) −1.18100e45 + 2.24196e44i −2.60875 + 0.495236i
\(619\) −1.39329e44 2.41324e44i −0.299909 0.519458i 0.676206 0.736713i \(-0.263623\pi\)
−0.976115 + 0.217255i \(0.930290\pi\)
\(620\) −1.99092e45 + 1.14946e45i −4.17625 + 2.41116i
\(621\) 9.49987e42 + 2.42141e44i 0.0194201 + 0.494997i
\(622\) 1.32020e45 2.63022
\(623\) −5.35752e44 + 2.76118e44i −1.04029 + 0.536149i
\(624\) −5.42559e43 + 4.67481e43i −0.102682 + 0.0884729i
\(625\) −3.68831e44 + 6.38834e44i −0.680374 + 1.17844i
\(626\) 4.59448e44 2.65262e44i 0.826127 0.476964i
\(627\) −2.43038e43 + 6.95911e43i −0.0425984 + 0.121976i
\(628\) −5.57022e44 + 9.64791e44i −0.951740 + 1.64846i
\(629\) 4.38797e43i 0.0730892i
\(630\) 1.33421e45 + 1.16950e45i 2.16658 + 1.89912i
\(631\) −4.67837e44 −0.740670 −0.370335 0.928898i \(-0.620757\pi\)
−0.370335 + 0.928898i \(0.620757\pi\)
\(632\) −4.25902e44 2.45895e44i −0.657410 0.379556i
\(633\) −4.19926e43 1.46654e43i −0.0631995 0.0220716i
\(634\) −4.18001e43 7.23999e43i −0.0613408 0.106245i
\(635\) 3.27277e44 + 1.88953e44i 0.468312 + 0.270380i
\(636\) −6.49496e44 7.53806e44i −0.906280 1.05183i
\(637\) 3.93475e44 + 8.62139e44i 0.535410 + 1.17313i
\(638\) 2.92356e44i 0.387954i
\(639\) −3.98882e44 + 5.01424e44i −0.516215 + 0.648920i
\(640\) −1.18162e45 2.04662e45i −1.49141 2.58320i
\(641\) −3.34683e44 + 1.93229e44i −0.412007 + 0.237872i −0.691652 0.722231i \(-0.743117\pi\)
0.279645 + 0.960104i \(0.409783\pi\)
\(642\) −3.03228e44 1.59732e45i −0.364091 1.91792i
\(643\) −5.21627e44 −0.610921 −0.305460 0.952205i \(-0.598810\pi\)
−0.305460 + 0.952205i \(0.598810\pi\)
\(644\) 6.06989e44 + 3.90191e44i 0.693436 + 0.445762i
\(645\) −1.76367e45 2.04692e45i −1.96545 2.28111i
\(646\) 2.88227e43 4.99225e43i 0.0313339 0.0542720i
\(647\) 2.66661e44 1.53957e44i 0.282808 0.163279i −0.351886 0.936043i \(-0.614460\pi\)
0.634694 + 0.772764i \(0.281126\pi\)
\(648\) 1.02078e45 2.35585e44i 1.05617 0.243751i
\(649\) 9.97741e43 1.72814e44i 0.100717 0.174447i
\(650\) 4.52160e45i 4.45326i
\(651\) 1.58417e45 + 6.39572e44i 1.52232 + 0.614602i
\(652\) 4.42030e44 0.414467
\(653\) −3.50437e44 2.02325e44i −0.320627 0.185114i 0.331045 0.943615i \(-0.392599\pi\)
−0.651672 + 0.758501i \(0.725932\pi\)
\(654\) −6.20105e44 + 1.77560e45i −0.553632 + 1.58526i
\(655\) −9.58917e42 1.66089e43i −0.00835449 0.0144704i
\(656\) −1.14627e44 6.61798e43i −0.0974596 0.0562683i
\(657\) −6.91864e43 + 4.62816e44i −0.0574083 + 0.384028i
\(658\) 7.19415e44 + 3.43567e43i 0.582593 + 0.0278226i
\(659\) 1.14507e45i 0.905037i −0.891755 0.452518i \(-0.850526\pi\)
0.891755 0.452518i \(-0.149474\pi\)
\(660\) 2.00873e44 + 1.05814e45i 0.154960 + 0.816281i
\(661\) 6.21126e44 + 1.07582e45i 0.467688 + 0.810060i 0.999318 0.0369166i \(-0.0117536\pi\)
−0.531630 + 0.846977i \(0.678420\pi\)
\(662\) −2.55207e45 + 1.47344e45i −1.87570 + 1.08294i
\(663\) 1.48435e44 2.81783e43i 0.106493 0.0202162i
\(664\) −6.46915e44 −0.453062
\(665\) 5.62552e43 1.17796e45i 0.0384606 0.805350i
\(666\) −2.10301e45 3.14379e44i −1.40363 0.209829i
\(667\) 3.19417e44 5.53247e44i 0.208135 0.360501i
\(668\) 1.31538e45 7.59434e44i 0.836811 0.483133i
\(669\) 1.41609e45 + 4.94551e44i 0.879574 + 0.307180i
\(670\) 2.72669e45 4.72277e45i 1.65363 2.86418i
\(671\) 8.34448e44i 0.494127i
\(672\) −5.90718e44 + 1.46316e45i −0.341564 + 0.846027i
\(673\) −7.16759e44 −0.404699 −0.202350 0.979313i \(-0.564858\pi\)
−0.202350 + 0.979313i \(0.564858\pi\)
\(674\) 1.56836e45 + 9.05492e44i 0.864742 + 0.499259i
\(675\) 1.82980e45 3.47740e45i 0.985245 1.87238i
\(676\) 1.04892e45 + 1.81678e45i 0.551562 + 0.955334i
\(677\) 1.59914e45 + 9.23262e44i 0.821234 + 0.474139i 0.850842 0.525422i \(-0.176093\pi\)
−0.0296081 + 0.999562i \(0.509426\pi\)
\(678\) −3.34506e45 + 2.88218e45i −1.67776 + 1.44559i
\(679\) −2.03303e45 + 3.16262e45i −0.995927 + 1.54928i
\(680\) 3.36127e44i 0.160828i
\(681\) 2.35835e45 4.47699e44i 1.10218 0.209234i
\(682\) 8.30150e44 + 1.43786e45i 0.378972 + 0.656398i
\(683\) 1.38731e45 8.00962e44i 0.618645 0.357175i −0.157696 0.987488i \(-0.550407\pi\)
0.776341 + 0.630313i \(0.217073\pi\)
\(684\) −1.36553e45 1.08628e45i −0.594845 0.473198i
\(685\) 5.16602e45 2.19840
\(686\) −3.08524e45 2.42806e45i −1.28264 1.00942i
\(687\) −7.06167e44 + 6.08449e44i −0.286814 + 0.247125i
\(688\) −2.25920e44 + 3.91305e44i −0.0896478 + 0.155274i
\(689\) −2.40333e45 + 1.38756e45i −0.931762 + 0.537953i
\(690\) 1.24225e45 3.55705e45i 0.470570 1.34742i
\(691\) −1.56979e44 + 2.71895e44i −0.0581021 + 0.100636i −0.893613 0.448837i \(-0.851838\pi\)
0.835511 + 0.549473i \(0.185172\pi\)
\(692\) 2.89296e45i 1.04627i
\(693\) 5.27587e44 6.01887e44i 0.186450 0.212708i
\(694\) 2.17773e45 0.752059
\(695\) −3.13618e45 1.81067e45i −1.05839 0.611059i
\(696\) −2.60735e45 9.10582e44i −0.859906 0.300311i
\(697\) 1.39614e44 + 2.41819e44i 0.0449992 + 0.0779410i
\(698\) 6.45228e45 + 3.72523e45i 2.03248 + 1.17345i
\(699\) −4.20740e45 4.88312e45i −1.29533 1.50336i
\(700\) −5.36038e45 1.04007e46i −1.61297 3.12965i
\(701\) 8.74634e44i 0.257240i −0.991694 0.128620i \(-0.958945\pi\)
0.991694 0.128620i \(-0.0410547\pi\)
\(702\) −2.87023e44 7.31589e45i −0.0825132 2.10317i
\(703\) 7.06691e44 + 1.22402e45i 0.198584 + 0.343958i
\(704\) −1.42176e45 + 8.20856e44i −0.390539 + 0.225478i
\(705\) −4.38113e44 2.30785e45i −0.117641 0.619700i
\(706\) 1.79913e45 0.472266
\(707\) 9.69385e42 2.02985e44i 0.00248763 0.0520900i
\(708\) 3.08332e45 + 3.57850e45i 0.773546 + 0.897779i
\(709\) −1.49936e44 + 2.59696e44i −0.0367760 + 0.0636980i −0.883828 0.467813i \(-0.845042\pi\)
0.847052 + 0.531511i \(0.178375\pi\)
\(710\) 8.62744e45 4.98106e45i 2.06894 1.19450i
\(711\) 2.77908e45 1.09459e45i 0.651611 0.256648i
\(712\) 2.76668e45 4.79203e45i 0.634277 1.09860i
\(713\) 3.62797e45i 0.813264i
\(714\) −4.93135e44 + 3.85483e44i −0.108092 + 0.0844957i
\(715\) 3.00386e45 0.643848
\(716\) 5.86491e45 + 3.38610e45i 1.22929 + 0.709728i
\(717\) −1.57332e45 + 4.50502e45i −0.322486 + 0.923400i
\(718\) 5.41272e44 + 9.37510e44i 0.108499 + 0.187925i
\(719\) −5.21087e45 3.00849e45i −1.02152 0.589776i −0.106977 0.994261i \(-0.534117\pi\)
−0.914544 + 0.404486i \(0.867451\pi\)
\(720\) −9.57057e44 1.43070e44i −0.183492 0.0274303i
\(721\) −3.97456e45 7.71185e45i −0.745290 1.44609i
\(722\) 7.04280e45i 1.29167i
\(723\) 1.09946e45 + 5.79162e45i 0.197227 + 1.03893i
\(724\) 3.41134e45 + 5.90862e45i 0.598560 + 1.03674i
\(725\) −8.97116e45 + 5.17950e45i −1.53971 + 0.888955i
\(726\) −8.78732e45 + 1.66815e45i −1.47527 + 0.280059i
\(727\) 7.11919e45 1.16918 0.584588 0.811330i \(-0.301256\pi\)
0.584588 + 0.811330i \(0.301256\pi\)
\(728\) −7.31864e45 4.70465e45i −1.17579 0.755832i
\(729\) −2.73986e45 + 5.74255e45i −0.430614 + 0.902536i
\(730\) 3.63794e45 6.30110e45i 0.559358 0.968837i
\(731\) 8.25504e44 4.76605e44i 0.124177 0.0716936i
\(732\) 1.86482e46 + 6.51263e45i 2.74447 + 0.958471i
\(733\) −6.37013e45 + 1.10334e46i −0.917243 + 1.58871i −0.113660 + 0.993520i \(0.536258\pi\)
−0.803583 + 0.595193i \(0.797076\pi\)
\(734\) 4.70706e45i 0.663152i
\(735\) −5.35475e45 + 1.16317e46i −0.738145 + 1.60341i
\(736\) 3.35085e45 0.451970
\(737\) −2.13053e45 1.23006e45i −0.281196 0.162348i
\(738\) 1.25899e46 4.95872e45i 1.62599 0.640425i
\(739\) −1.52650e45 2.64397e45i −0.192924 0.334154i 0.753294 0.657684i \(-0.228464\pi\)
−0.946218 + 0.323530i \(0.895130\pi\)