Properties

Label 21.33.h.b.2.18
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 2.18
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-74754.1 - 43159.3i) q^{2} +(3.41923e7 + 2.61516e7i) q^{3} +(1.57796e9 + 2.73311e9i) q^{4} +(-9.12997e10 - 5.27119e10i) q^{5} +(-1.42733e12 - 3.43066e12i) q^{6} +(3.71380e12 + 3.30248e13i) q^{7} +9.83202e13i q^{8} +(4.85204e14 + 1.78837e15i) q^{9} +O(q^{10})\) \(q+(-74754.1 - 43159.3i) q^{2} +(3.41923e7 + 2.61516e7i) q^{3} +(1.57796e9 + 2.73311e9i) q^{4} +(-9.12997e10 - 5.27119e10i) q^{5} +(-1.42733e12 - 3.43066e12i) q^{6} +(3.71380e12 + 3.30248e13i) q^{7} +9.83202e13i q^{8} +(4.85204e14 + 1.78837e15i) q^{9} +(4.55002e15 + 7.88086e15i) q^{10} +(2.11514e16 - 1.22117e16i) q^{11} +(-1.75212e16 + 1.34718e17i) q^{12} -1.14895e18 q^{13} +(1.14770e18 - 2.62902e18i) q^{14} +(-1.74324e18 - 4.18998e18i) q^{15} +(1.10207e19 - 1.90885e19i) q^{16} +(-1.82218e19 + 1.05204e19i) q^{17} +(4.09137e19 - 1.54629e20i) q^{18} +(-3.73927e18 + 6.47660e18i) q^{19} -3.32710e20i q^{20} +(-7.36668e20 + 1.22631e21i) q^{21} -2.10820e21 q^{22} +(-1.71221e21 - 9.88544e20i) q^{23} +(-2.57123e21 + 3.36179e21i) q^{24} +(-6.08444e21 - 1.05386e22i) q^{25} +(8.58887e22 + 4.95879e22i) q^{26} +(-3.01785e22 + 7.38373e22i) q^{27} +(-8.44002e22 + 6.22621e22i) q^{28} -8.94587e22i q^{29} +(-5.05220e22 + 3.88455e23i) q^{30} +(-1.54161e23 - 2.67014e23i) q^{31} +(-1.28198e24 + 7.40153e23i) q^{32} +(1.04257e24 + 1.35595e23i) q^{33} +1.81621e24 q^{34} +(1.40173e24 - 3.21091e24i) q^{35} +(-4.12218e24 + 4.14810e24i) q^{36} +(7.35254e24 - 1.27350e25i) q^{37} +(5.59051e23 - 3.22768e23i) q^{38} +(-3.92852e25 - 3.00469e25i) q^{39} +(5.18265e24 - 8.97661e24i) q^{40} -9.30479e25i q^{41} +(1.07996e26 - 5.98779e25i) q^{42} -8.55142e25 q^{43} +(6.67522e25 + 3.85394e25i) q^{44} +(4.99693e25 - 1.88854e26i) q^{45} +(8.53297e25 + 1.47795e26i) q^{46} +(3.70669e26 + 2.14006e26i) q^{47} +(8.76019e26 - 3.64468e26i) q^{48} +(-1.07684e27 + 2.45295e26i) q^{49} +1.05040e27i q^{50} +(-8.98172e26 - 1.16815e26i) q^{51} +(-1.81300e27 - 3.14021e27i) q^{52} +(3.28629e27 - 1.89734e27i) q^{53} +(5.44273e27 - 4.21715e27i) q^{54} -2.57482e27 q^{55} +(-3.24700e27 + 3.65142e26i) q^{56} +(-2.97228e26 + 1.23662e26i) q^{57} +(-3.86097e27 + 6.68740e27i) q^{58} +(-3.36277e27 + 1.94150e27i) q^{59} +(8.70092e27 - 1.13761e28i) q^{60} +(-8.96823e26 + 1.55334e27i) q^{61} +2.66139e28i q^{62} +(-5.72585e28 + 2.26654e28i) q^{63} +3.31105e28 q^{64} +(1.04899e29 + 6.05634e28i) q^{65} +(-7.20842e28 - 5.51329e28i) q^{66} +(7.26290e28 + 1.25797e29i) q^{67} +(-5.75068e28 - 3.32016e28i) q^{68} +(-3.26923e28 - 7.85776e28i) q^{69} +(-2.43366e29 + 1.79531e29i) q^{70} +5.31026e29i q^{71} +(-1.75833e29 + 4.77054e28i) q^{72} +(-4.73055e29 - 8.19356e29i) q^{73} +(-1.09926e30 + 6.34660e29i) q^{74} +(6.75596e28 - 5.19455e29i) q^{75} -2.36017e28 q^{76} +(4.81842e29 + 6.53167e29i) q^{77} +(1.63993e30 + 3.94165e30i) q^{78} +(-1.10962e30 + 1.92192e30i) q^{79} +(-2.01238e30 + 1.16185e30i) q^{80} +(-2.96284e30 + 1.73545e30i) q^{81} +(-4.01588e30 + 6.95571e30i) q^{82} +4.18467e30i q^{83} +(-4.51409e30 - 7.83189e28i) q^{84} +2.21820e30 q^{85} +(6.39254e30 + 3.69073e30i) q^{86} +(2.33949e30 - 3.05880e30i) q^{87} +(1.20066e30 + 2.07961e30i) q^{88} +(7.99110e30 + 4.61367e30i) q^{89} +(-1.18862e31 + 1.19609e31i) q^{90} +(-4.26697e30 - 3.79438e31i) q^{91} -6.23955e30i q^{92} +(1.71175e30 - 1.31614e31i) q^{93} +(-1.84727e31 - 3.19956e31i) q^{94} +(6.82788e29 - 3.94208e29i) q^{95} +(-6.31901e31 - 8.21842e30i) q^{96} +2.29716e31 q^{97} +(9.10852e31 + 2.81390e31i) q^{98} +(3.21018e31 + 3.19012e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −74754.1 43159.3i −1.14066 0.658558i −0.194064 0.980989i \(-0.562167\pi\)
−0.946593 + 0.322431i \(0.895500\pi\)
\(3\) 3.41923e7 + 2.61516e7i 0.794306 + 0.607517i
\(4\) 1.57796e9 + 2.73311e9i 0.367398 + 0.636353i
\(5\) −9.12997e10 5.27119e10i −0.598342 0.345453i 0.170047 0.985436i \(-0.445608\pi\)
−0.768389 + 0.639983i \(0.778941\pi\)
\(6\) −1.42733e12 3.43066e12i −0.505945 1.21607i
\(7\) 3.71380e12 + 3.30248e13i 0.111751 + 0.993736i
\(8\) 9.83202e13i 0.349304i
\(9\) 4.85204e14 + 1.78837e15i 0.261845 + 0.965110i
\(10\) 4.55002e15 + 7.88086e15i 0.455002 + 0.788086i
\(11\) 2.11514e16 1.22117e16i 0.460315 0.265763i −0.251862 0.967763i \(-0.581043\pi\)
0.712177 + 0.702000i \(0.247709\pi\)
\(12\) −1.75212e16 + 1.34718e17i −0.0947685 + 0.728660i
\(13\) −1.14895e18 −1.72666 −0.863331 0.504637i \(-0.831626\pi\)
−0.863331 + 0.504637i \(0.831626\pi\)
\(14\) 1.14770e18 2.62902e18i 0.526964 1.20711i
\(15\) −1.74324e18 4.18998e18i −0.265398 0.637899i
\(16\) 1.10207e19 1.90885e19i 0.597435 1.03479i
\(17\) −1.82218e19 + 1.05204e19i −0.374464 + 0.216197i −0.675407 0.737445i \(-0.736032\pi\)
0.300943 + 0.953642i \(0.402699\pi\)
\(18\) 4.09137e19 1.54629e20i 0.336906 1.27330i
\(19\) −3.73927e18 + 6.47660e18i −0.0129637 + 0.0224538i −0.872434 0.488731i \(-0.837460\pi\)
0.859471 + 0.511185i \(0.170793\pi\)
\(20\) 3.32710e20i 0.507675i
\(21\) −7.36668e20 + 1.22631e21i −0.514948 + 0.857221i
\(22\) −2.10820e21 −0.700082
\(23\) −1.71221e21 9.88544e20i −0.279197 0.161195i 0.353863 0.935297i \(-0.384868\pi\)
−0.633060 + 0.774103i \(0.718201\pi\)
\(24\) −2.57123e21 + 3.36179e21i −0.212208 + 0.277454i
\(25\) −6.08444e21 1.05386e22i −0.261325 0.452627i
\(26\) 8.58887e22 + 4.95879e22i 1.96953 + 1.13711i
\(27\) −3.01785e22 + 7.38373e22i −0.378336 + 0.925668i
\(28\) −8.44002e22 + 6.22621e22i −0.591310 + 0.436210i
\(29\) 8.94587e22i 0.357482i −0.983896 0.178741i \(-0.942798\pi\)
0.983896 0.178741i \(-0.0572025\pi\)
\(30\) −5.05220e22 + 3.88455e23i −0.117365 + 0.902404i
\(31\) −1.54161e23 2.67014e23i −0.211927 0.367069i 0.740390 0.672177i \(-0.234641\pi\)
−0.952318 + 0.305108i \(0.901307\pi\)
\(32\) −1.28198e24 + 7.40153e23i −1.06043 + 0.612240i
\(33\) 1.04257e24 + 1.35595e23i 0.527087 + 0.0685522i
\(34\) 1.81621e24 0.569513
\(35\) 1.40173e24 3.21091e24i 0.276424 0.633199i
\(36\) −4.12218e24 + 4.14810e24i −0.517949 + 0.521206i
\(37\) 7.35254e24 1.27350e25i 0.595950 1.03221i −0.397463 0.917618i \(-0.630109\pi\)
0.993412 0.114597i \(-0.0365575\pi\)
\(38\) 5.59051e23 3.22768e23i 0.0295742 0.0170747i
\(39\) −3.92852e25 3.00469e25i −1.37150 1.04898i
\(40\) 5.18265e24 8.97661e24i 0.120668 0.209003i
\(41\) 9.30479e25i 1.45937i −0.683784 0.729684i \(-0.739667\pi\)
0.683784 0.729684i \(-0.260333\pi\)
\(42\) 1.07996e26 5.98779e25i 1.15191 0.638672i
\(43\) −8.55142e25 −0.625955 −0.312977 0.949761i \(-0.601326\pi\)
−0.312977 + 0.949761i \(0.601326\pi\)
\(44\) 6.67522e25 + 3.85394e25i 0.338238 + 0.195282i
\(45\) 4.99693e25 1.88854e26i 0.176727 0.667921i
\(46\) 8.53297e25 + 1.47795e26i 0.212312 + 0.367735i
\(47\) 3.70669e26 + 2.14006e26i 0.653763 + 0.377450i 0.789896 0.613240i \(-0.210134\pi\)
−0.136134 + 0.990690i \(0.543468\pi\)
\(48\) 8.76019e26 3.64468e26i 1.10320 0.458986i
\(49\) −1.07684e27 + 2.45295e26i −0.975024 + 0.222101i
\(50\) 1.05040e27i 0.688390i
\(51\) −8.98172e26 1.16815e26i −0.428782 0.0557668i
\(52\) −1.81300e27 3.14021e27i −0.634373 1.09877i
\(53\) 3.28629e27 1.89734e27i 0.847796 0.489475i −0.0121105 0.999927i \(-0.503855\pi\)
0.859907 + 0.510451i \(0.170522\pi\)
\(54\) 5.44273e27 4.21715e27i 1.04116 0.806713i
\(55\) −2.57482e27 −0.367235
\(56\) −3.24700e27 + 3.65142e26i −0.347116 + 0.0390349i
\(57\) −2.97228e26 + 1.23662e26i −0.0239382 + 0.00995950i
\(58\) −3.86097e27 + 6.68740e27i −0.235423 + 0.407765i
\(59\) −3.36277e27 + 1.94150e27i −0.155979 + 0.0900543i −0.575958 0.817479i \(-0.695371\pi\)
0.419979 + 0.907534i \(0.362037\pi\)
\(60\) 8.70092e27 1.13761e28i 0.308422 0.403250i
\(61\) −8.96823e26 + 1.55334e27i −0.0244022 + 0.0422659i −0.877969 0.478718i \(-0.841102\pi\)
0.853566 + 0.520984i \(0.174435\pi\)
\(62\) 2.66139e28i 0.558266i
\(63\) −5.72585e28 + 2.26654e28i −0.929803 + 0.368057i
\(64\) 3.31105e28 0.417913
\(65\) 1.04899e29 + 6.05634e28i 1.03313 + 0.596481i
\(66\) −7.20842e28 5.51329e28i −0.556080 0.425312i
\(67\) 7.26290e28 + 1.25797e29i 0.440467 + 0.762911i 0.997724 0.0674288i \(-0.0214796\pi\)
−0.557257 + 0.830340i \(0.688146\pi\)
\(68\) −5.75068e28 3.32016e28i −0.275155 0.158861i
\(69\) −3.26923e28 7.85776e28i −0.123840 0.297655i
\(70\) −2.43366e29 + 1.79531e29i −0.732303 + 0.540221i
\(71\) 5.31026e29i 1.27345i 0.771090 + 0.636726i \(0.219712\pi\)
−0.771090 + 0.636726i \(0.780288\pi\)
\(72\) −1.75833e29 + 4.77054e28i −0.337116 + 0.0914634i
\(73\) −4.73055e29 8.19356e29i −0.727355 1.25982i −0.957997 0.286777i \(-0.907416\pi\)
0.230643 0.973039i \(-0.425917\pi\)
\(74\) −1.09926e30 + 6.34660e29i −1.35955 + 0.784935i
\(75\) 6.75596e28 5.19455e29i 0.0674073 0.518284i
\(76\) −2.36017e28 −0.0190514
\(77\) 4.81842e29 + 6.53167e29i 0.315539 + 0.427733i
\(78\) 1.63993e30 + 3.94165e30i 0.873596 + 2.09974i
\(79\) −1.10962e30 + 1.92192e30i −0.482103 + 0.835028i −0.999789 0.0205433i \(-0.993460\pi\)
0.517686 + 0.855571i \(0.326794\pi\)
\(80\) −2.01238e30 + 1.16185e30i −0.714941 + 0.412771i
\(81\) −2.96284e30 + 1.73545e30i −0.862874 + 0.505418i
\(82\) −4.01588e30 + 6.95571e30i −0.961079 + 1.66464i
\(83\) 4.18467e30i 0.824921i 0.910976 + 0.412460i \(0.135330\pi\)
−0.910976 + 0.412460i \(0.864670\pi\)
\(84\) −4.51409e30 7.83189e28i −0.734686 0.0127467i
\(85\) 2.21820e30 0.298743
\(86\) 6.39254e30 + 3.69073e30i 0.714000 + 0.412228i
\(87\) 2.33949e30 3.05880e30i 0.217177 0.283950i
\(88\) 1.20066e30 + 2.07961e30i 0.0928320 + 0.160790i
\(89\) 7.99110e30 + 4.61367e30i 0.515664 + 0.297719i 0.735159 0.677895i \(-0.237108\pi\)
−0.219495 + 0.975614i \(0.570441\pi\)
\(90\) −1.18862e31 + 1.19609e31i −0.641450 + 0.645483i
\(91\) −4.26697e30 3.79438e31i −0.192956 1.71585i
\(92\) 6.23955e30i 0.236891i
\(93\) 1.71175e30 1.31614e31i 0.0546656 0.420315i
\(94\) −1.84727e31 3.19956e31i −0.497146 0.861082i
\(95\) 6.82788e29 3.94208e29i 0.0155134 0.00895669i
\(96\) −6.31901e31 8.21842e30i −1.21425 0.157924i
\(97\) 2.29716e31 0.373975 0.186988 0.982362i \(-0.440128\pi\)
0.186988 + 0.982362i \(0.440128\pi\)
\(98\) 9.10852e31 + 2.81390e31i 1.25843 + 0.388769i
\(99\) 3.21018e31 + 3.19012e31i 0.377022 + 0.374666i
\(100\) 1.92020e31 3.32589e31i 0.192020 0.332589i
\(101\) 5.45003e30 3.14658e30i 0.0464790 0.0268347i −0.476580 0.879131i \(-0.658124\pi\)
0.523059 + 0.852296i \(0.324791\pi\)
\(102\) 6.21003e31 + 4.74968e31i 0.452367 + 0.345989i
\(103\) −7.95096e29 + 1.37715e30i −0.00495478 + 0.00858192i −0.868492 0.495703i \(-0.834910\pi\)
0.863537 + 0.504285i \(0.168244\pi\)
\(104\) 1.12965e32i 0.603129i
\(105\) 1.31899e32 7.31310e31i 0.604245 0.335021i
\(106\) −3.27551e32 −1.28939
\(107\) −2.07333e32 1.19704e32i −0.702310 0.405479i 0.105897 0.994377i \(-0.466229\pi\)
−0.808207 + 0.588898i \(0.799562\pi\)
\(108\) −2.49426e32 + 3.40312e31i −0.728052 + 0.0993339i
\(109\) 3.33198e32 + 5.77116e32i 0.839226 + 1.45358i 0.890543 + 0.454899i \(0.150325\pi\)
−0.0513170 + 0.998682i \(0.516342\pi\)
\(110\) 1.92478e32 + 1.11127e32i 0.418889 + 0.241845i
\(111\) 5.84440e32 2.43157e32i 1.10046 0.457845i
\(112\) 6.71321e32 + 2.93066e32i 1.09507 + 0.478055i
\(113\) 1.28317e33i 1.81564i −0.419365 0.907818i \(-0.637747\pi\)
0.419365 0.907818i \(-0.362253\pi\)
\(114\) 2.75561e31 + 3.58391e30i 0.0338642 + 0.00440433i
\(115\) 1.04216e32 + 1.80508e32i 0.111370 + 0.192899i
\(116\) 2.44501e32 1.41163e32i 0.227485 0.131338i
\(117\) −5.57475e32 2.05475e33i −0.452118 1.66642i
\(118\) 3.35174e32 0.237224
\(119\) −4.15106e32 5.62702e32i −0.256689 0.347958i
\(120\) 4.11960e32 1.71396e32i 0.222820 0.0927045i
\(121\) −7.57435e32 + 1.31192e33i −0.358740 + 0.621356i
\(122\) 1.34082e32 7.74124e31i 0.0556691 0.0321406i
\(123\) 2.43336e33 3.18152e33i 0.886592 1.15919i
\(124\) 4.86520e32 8.42678e32i 0.155724 0.269721i
\(125\) 3.73748e33i 1.05201i
\(126\) 5.25853e33 + 7.76905e32i 1.30297 + 0.192504i
\(127\) −2.04608e33 −0.446748 −0.223374 0.974733i \(-0.571707\pi\)
−0.223374 + 0.974733i \(0.571707\pi\)
\(128\) 3.03093e33 + 1.74991e33i 0.583735 + 0.337020i
\(129\) −2.92393e33 2.23634e33i −0.497200 0.380279i
\(130\) −5.22774e33 9.05472e33i −0.785635 1.36076i
\(131\) 8.15148e33 + 4.70626e33i 1.08367 + 0.625655i 0.931883 0.362758i \(-0.118165\pi\)
0.151784 + 0.988414i \(0.451498\pi\)
\(132\) 1.27454e33 + 3.06343e33i 0.150028 + 0.360599i
\(133\) −2.27775e32 9.94356e31i −0.0237618 0.0103733i
\(134\) 1.25385e34i 1.16029i
\(135\) 6.64740e33 5.15056e33i 0.546149 0.423169i
\(136\) −1.03437e33 1.79158e33i −0.0755183 0.130801i
\(137\) −2.66052e34 + 1.53605e34i −1.72758 + 0.997417i −0.827878 + 0.560908i \(0.810452\pi\)
−0.899700 + 0.436509i \(0.856215\pi\)
\(138\) −9.47474e32 + 7.28497e33i −0.0547648 + 0.421078i
\(139\) 1.43388e34 0.738371 0.369186 0.929356i \(-0.379637\pi\)
0.369186 + 0.929356i \(0.379637\pi\)
\(140\) 1.09877e34 1.23562e33i 0.504495 0.0567331i
\(141\) 7.07741e33 + 1.70109e34i 0.289980 + 0.696983i
\(142\) 2.29187e34 3.96964e34i 0.838643 1.45257i
\(143\) −2.43019e34 + 1.40307e34i −0.794809 + 0.458883i
\(144\) 3.94845e34 + 1.04473e34i 1.15512 + 0.305637i
\(145\) −4.71554e33 + 8.16756e33i −0.123493 + 0.213897i
\(146\) 8.16669e34i 1.91602i
\(147\) −4.32346e34 1.97740e34i −0.909398 0.415927i
\(148\) 4.64081e34 0.875804
\(149\) 4.34067e34 + 2.50609e34i 0.735490 + 0.424635i 0.820427 0.571751i \(-0.193736\pi\)
−0.0849372 + 0.996386i \(0.527069\pi\)
\(150\) −2.74697e34 + 3.59156e34i −0.418209 + 0.546792i
\(151\) 1.62648e34 + 2.81714e34i 0.222647 + 0.385636i 0.955611 0.294631i \(-0.0951969\pi\)
−0.732964 + 0.680268i \(0.761864\pi\)
\(152\) −6.36780e32 3.67645e32i −0.00784318 0.00452826i
\(153\) −2.76556e34 2.74828e34i −0.306705 0.304789i
\(154\) −7.82944e33 6.96228e34i −0.0782346 0.695697i
\(155\) 3.25045e34i 0.292844i
\(156\) 2.01310e34 1.54784e35i 0.163633 1.25815i
\(157\) −7.51544e34 1.30171e35i −0.551518 0.955257i −0.998165 0.0605473i \(-0.980715\pi\)
0.446647 0.894710i \(-0.352618\pi\)
\(158\) 1.65897e35 9.57807e34i 1.09983 0.634987i
\(159\) 1.61984e35 + 2.10674e34i 0.970775 + 0.126258i
\(160\) 1.56060e35 0.846001
\(161\) 2.62876e34 6.02165e34i 0.128984 0.295462i
\(162\) 2.96385e35 1.85776e33i 1.31709 0.00825564i
\(163\) 1.48267e35 2.56806e35i 0.597094 1.03420i −0.396154 0.918184i \(-0.629655\pi\)
0.993248 0.116012i \(-0.0370112\pi\)
\(164\) 2.54311e35 1.46826e35i 0.928673 0.536170i
\(165\) −8.80389e34 6.73357e34i −0.291697 0.223101i
\(166\) 1.80608e35 3.12821e35i 0.543258 0.940951i
\(167\) 5.76695e35i 1.57573i −0.615847 0.787866i \(-0.711186\pi\)
0.615847 0.787866i \(-0.288814\pi\)
\(168\) −1.20571e35 7.24294e34i −0.299431 0.179873i
\(169\) 8.77307e35 1.98136
\(170\) −1.65819e35 9.57359e34i −0.340763 0.196740i
\(171\) −1.33968e34 3.54471e33i −0.0250648 0.00663198i
\(172\) −1.34938e35 2.33720e35i −0.229975 0.398328i
\(173\) 9.47622e35 + 5.47110e35i 1.47196 + 0.849839i 0.999503 0.0315121i \(-0.0100323\pi\)
0.472461 + 0.881351i \(0.343366\pi\)
\(174\) −3.06902e35 + 1.27687e35i −0.434722 + 0.180866i
\(175\) 3.25437e35 2.40075e35i 0.420589 0.310269i
\(176\) 5.38330e35i 0.635105i
\(177\) −1.65754e35 2.15578e34i −0.178604 0.0232290i
\(178\) −3.98245e35 6.89781e35i −0.392130 0.679190i
\(179\) 1.79652e36 1.03722e36i 1.61727 0.933732i 0.629650 0.776879i \(-0.283198\pi\)
0.987622 0.156854i \(-0.0501351\pi\)
\(180\) 5.95008e35 1.61432e35i 0.489963 0.132932i
\(181\) 1.14469e36 0.862641 0.431320 0.902199i \(-0.358048\pi\)
0.431320 + 0.902199i \(0.358048\pi\)
\(182\) −1.31865e36 + 3.02061e36i −0.909890 + 2.08427i
\(183\) −7.12868e34 + 2.96589e34i −0.0450601 + 0.0187473i
\(184\) 9.71938e34 1.68345e35i 0.0563059 0.0975246i
\(185\) −1.34257e36 + 7.75133e35i −0.713163 + 0.411745i
\(186\) −6.95997e35 + 9.09989e35i −0.339156 + 0.443434i
\(187\) −2.56945e35 + 4.45041e35i −0.114914 + 0.199037i
\(188\) 1.35077e36i 0.554698i
\(189\) −2.55054e36 7.22422e35i −0.962149 0.272522i
\(190\) −6.80549e34 −0.0235940
\(191\) 2.02407e36 + 1.16860e36i 0.645195 + 0.372504i 0.786613 0.617446i \(-0.211833\pi\)
−0.141418 + 0.989950i \(0.545166\pi\)
\(192\) 1.13212e36 + 8.65894e35i 0.331951 + 0.253890i
\(193\) 9.64260e35 + 1.67015e36i 0.260182 + 0.450648i 0.966290 0.257456i \(-0.0828841\pi\)
−0.706108 + 0.708104i \(0.749551\pi\)
\(194\) −1.71722e36 9.91437e35i −0.426578 0.246285i
\(195\) 2.00290e36 + 4.81408e36i 0.458253 + 1.10144i
\(196\) −2.36964e36 2.55607e36i −0.499557 0.538859i
\(197\) 4.43927e35i 0.0862684i −0.999069 0.0431342i \(-0.986266\pi\)
0.999069 0.0431342i \(-0.0137343\pi\)
\(198\) −1.02291e36 3.77024e36i −0.183313 0.675656i
\(199\) −5.19426e36 8.99672e36i −0.858765 1.48743i −0.873107 0.487528i \(-0.837899\pi\)
0.0143420 0.999897i \(-0.495435\pi\)
\(200\) 1.03615e36 5.98223e35i 0.158104 0.0912816i
\(201\) −8.06450e35 + 6.20066e36i −0.113616 + 0.873577i
\(202\) −5.43216e35 −0.0706888
\(203\) 2.95435e36 3.32232e35i 0.355243 0.0399489i
\(204\) −1.09801e36 2.63914e36i −0.122046 0.293345i
\(205\) −4.90474e36 + 8.49525e36i −0.504143 + 0.873201i
\(206\) 1.18873e35 6.86316e34i 0.0113034 0.00652602i
\(207\) 9.37110e35 3.54170e36i 0.0824641 0.311664i
\(208\) −1.26623e37 + 2.19317e37i −1.03157 + 1.78673i
\(209\) 1.82652e35i 0.0137811i
\(210\) −1.30163e37 2.25830e35i −0.909867 0.0157861i
\(211\) 1.40307e37 0.908993 0.454496 0.890749i \(-0.349819\pi\)
0.454496 + 0.890749i \(0.349819\pi\)
\(212\) 1.03713e37 + 5.98786e36i 0.622958 + 0.359665i
\(213\) −1.38872e37 + 1.81570e37i −0.773644 + 1.01151i
\(214\) 1.03327e37 + 1.78967e37i 0.534063 + 0.925024i
\(215\) 7.80743e36 + 4.50762e36i 0.374535 + 0.216238i
\(216\) −7.25970e36 2.96716e36i −0.323339 0.132154i
\(217\) 8.24556e36 6.08276e36i 0.341087 0.251620i
\(218\) 5.75224e37i 2.21072i
\(219\) 5.25266e36 4.03868e37i 0.187617 1.44256i
\(220\) −4.06297e36 7.03727e36i −0.134921 0.233691i
\(221\) 2.09360e37 1.20874e37i 0.646572 0.373299i
\(222\) −5.41837e37 7.04707e36i −1.55676 0.202470i
\(223\) −4.98875e37 −1.33387 −0.666936 0.745115i \(-0.732394\pi\)
−0.666936 + 0.745115i \(0.732394\pi\)
\(224\) −2.92044e37 3.95884e37i −0.726909 0.985371i
\(225\) 1.58946e37 1.59946e37i 0.368409 0.370725i
\(226\) −5.53806e37 + 9.59221e37i −1.19570 + 2.07102i
\(227\) 7.82666e37 4.51872e37i 1.57457 0.909080i 0.578975 0.815345i \(-0.303453\pi\)
0.995597 0.0937346i \(-0.0298805\pi\)
\(228\) −8.06996e35 6.17223e35i −0.0151326 0.0115740i
\(229\) 5.63688e36 9.76336e36i 0.0985533 0.170699i −0.812533 0.582916i \(-0.801912\pi\)
0.911086 + 0.412216i \(0.135245\pi\)
\(230\) 1.79916e37i 0.293375i
\(231\) −6.06104e35 + 3.49342e37i −0.00922052 + 0.531446i
\(232\) 8.79560e36 0.124870
\(233\) 1.98395e37 + 1.14543e37i 0.262927 + 0.151801i 0.625669 0.780089i \(-0.284826\pi\)
−0.362742 + 0.931890i \(0.618159\pi\)
\(234\) −4.70078e37 + 1.77661e38i −0.581723 + 2.19856i
\(235\) −2.25613e37 3.90773e37i −0.260782 0.451688i
\(236\) −1.06127e37 6.12722e36i −0.114613 0.0661716i
\(237\) −8.82016e37 + 3.66963e37i −0.890232 + 0.370381i
\(238\) 6.74504e36 + 5.99799e37i 0.0636434 + 0.565945i
\(239\) 7.36308e37i 0.649670i 0.945771 + 0.324835i \(0.105309\pi\)
−0.945771 + 0.324835i \(0.894691\pi\)
\(240\) −9.91921e37 1.29008e37i −0.818648 0.106472i
\(241\) 5.42354e37 + 9.39384e37i 0.418803 + 0.725388i 0.995819 0.0913445i \(-0.0291165\pi\)
−0.577016 + 0.816733i \(0.695783\pi\)
\(242\) 1.13243e38 6.53807e37i 0.818398 0.472502i
\(243\) −1.46691e38 1.81442e37i −0.992437 0.122754i
\(244\) −5.66062e36 −0.0358613
\(245\) 1.11245e38 + 3.43671e37i 0.660123 + 0.203932i
\(246\) −3.19215e38 + 1.32810e38i −1.77469 + 0.738360i
\(247\) 4.29623e36 7.44129e36i 0.0223839 0.0387701i
\(248\) 2.62529e37 1.51571e37i 0.128218 0.0740270i
\(249\) −1.09436e38 + 1.43084e38i −0.501154 + 0.655240i
\(250\) 1.61307e38 2.79392e38i 0.692808 1.19998i
\(251\) 1.50857e38i 0.607834i 0.952698 + 0.303917i \(0.0982946\pi\)
−0.952698 + 0.303917i \(0.901705\pi\)
\(252\) −1.52299e38 1.20729e38i −0.575822 0.456460i
\(253\) −4.82874e37 −0.171358
\(254\) 1.52953e38 + 8.83072e37i 0.509586 + 0.294210i
\(255\) 7.58453e37 + 5.80096e37i 0.237293 + 0.181492i
\(256\) −2.22154e38 3.84782e38i −0.652851 1.13077i
\(257\) −1.56491e38 9.03500e37i −0.432075 0.249458i 0.268155 0.963376i \(-0.413586\pi\)
−0.700230 + 0.713917i \(0.746919\pi\)
\(258\) 1.22057e38 + 2.93370e38i 0.316699 + 0.761202i
\(259\) 4.47875e38 + 1.95521e38i 1.09235 + 0.476866i
\(260\) 3.82267e38i 0.876584i
\(261\) 1.59985e38 4.34057e37i 0.345010 0.0936050i
\(262\) −4.06238e38 7.03624e38i −0.824061 1.42732i
\(263\) 8.43071e38 4.86747e38i 1.60906 0.928991i 0.619480 0.785013i \(-0.287344\pi\)
0.989581 0.143979i \(-0.0459897\pi\)
\(264\) −1.33318e37 + 1.02506e38i −0.0239455 + 0.184113i
\(265\) −4.00049e38 −0.676363
\(266\) 1.27355e37 + 1.72638e37i 0.0202727 + 0.0274809i
\(267\) 1.52579e38 + 3.66732e38i 0.228726 + 0.549755i
\(268\) −2.29212e38 + 3.97007e38i −0.323654 + 0.560585i
\(269\) 1.13383e39 6.54618e38i 1.50838 0.870866i 0.508432 0.861102i \(-0.330225\pi\)
0.999952 0.00976362i \(-0.00310791\pi\)
\(270\) −7.19214e38 + 9.81281e37i −0.901650 + 0.123019i
\(271\) −2.67501e38 + 4.63326e38i −0.316095 + 0.547492i −0.979670 0.200618i \(-0.935705\pi\)
0.663575 + 0.748110i \(0.269038\pi\)
\(272\) 4.63770e38i 0.516654i
\(273\) 8.46395e38 1.40897e39i 0.889141 1.48013i
\(274\) 2.65180e39 2.62743
\(275\) −2.57388e38 1.48603e38i −0.240583 0.138901i
\(276\) 1.63174e38 2.13344e38i 0.143915 0.188164i
\(277\) −4.77324e38 8.26750e38i −0.397317 0.688174i 0.596077 0.802927i \(-0.296725\pi\)
−0.993394 + 0.114754i \(0.963392\pi\)
\(278\) −1.07188e39 6.18851e38i −0.842228 0.486261i
\(279\) 4.02721e38 4.05253e38i 0.298770 0.300648i
\(280\) 3.15698e38 + 1.37818e38i 0.221179 + 0.0965559i
\(281\) 9.19189e38i 0.608280i 0.952627 + 0.304140i \(0.0983691\pi\)
−0.952627 + 0.304140i \(0.901631\pi\)
\(282\) 2.05115e38 1.57709e39i 0.128236 0.985987i
\(283\) 2.86982e38 + 4.97067e38i 0.169540 + 0.293651i 0.938258 0.345936i \(-0.112439\pi\)
−0.768718 + 0.639587i \(0.779105\pi\)
\(284\) −1.45136e39 + 8.37941e38i −0.810365 + 0.467864i
\(285\) 3.36553e37 + 4.37716e36i 0.0177638 + 0.00231033i
\(286\) 2.42222e39 1.20881
\(287\) 3.07289e39 3.45562e38i 1.45023 0.163085i
\(288\) −1.94569e39 1.93353e39i −0.868548 0.863121i
\(289\) −9.62599e38 + 1.66727e39i −0.406518 + 0.704110i
\(290\) 7.05012e38 4.07039e38i 0.281727 0.162655i
\(291\) 7.85451e38 + 6.00744e38i 0.297051 + 0.227197i
\(292\) 1.49293e39 2.58583e39i 0.534458 0.925708i
\(293\) 3.94977e39i 1.33872i −0.742938 0.669360i \(-0.766568\pi\)
0.742938 0.669360i \(-0.233432\pi\)
\(294\) 2.37853e39 + 3.34416e39i 0.763398 + 1.07332i
\(295\) 4.09360e38 0.124438
\(296\) 1.25210e39 + 7.22903e38i 0.360556 + 0.208167i
\(297\) 2.63365e38 + 1.93029e39i 0.0718546 + 0.526647i
\(298\) −2.16322e39 3.74681e39i −0.559294 0.968726i
\(299\) 1.96724e39 + 1.13579e39i 0.482080 + 0.278329i
\(300\) 1.52634e39 6.35033e38i 0.354577 0.147522i
\(301\) −3.17583e38 2.82409e39i −0.0699509 0.622034i
\(302\) 2.80791e39i 0.586505i
\(303\) 2.68637e38 + 3.49386e37i 0.0532211 + 0.00692187i
\(304\) 8.24189e37 + 1.42754e38i 0.0154899 + 0.0268293i
\(305\) 1.63759e38 9.45465e37i 0.0292017 0.0168596i
\(306\) 8.81232e38 + 3.24805e39i 0.149124 + 0.549642i
\(307\) −6.38935e39 −1.02623 −0.513113 0.858321i \(-0.671508\pi\)
−0.513113 + 0.858321i \(0.671508\pi\)
\(308\) −1.02485e39 + 2.34760e39i −0.156260 + 0.357942i
\(309\) −6.32008e37 + 2.62947e37i −0.00914928 + 0.00380656i
\(310\) 1.40287e39 2.42984e39i 0.192855 0.334034i
\(311\) −6.04677e39 + 3.49111e39i −0.789509 + 0.455824i −0.839790 0.542912i \(-0.817322\pi\)
0.0502804 + 0.998735i \(0.483989\pi\)
\(312\) 2.95422e39 3.86253e39i 0.366412 0.479070i
\(313\) −3.80496e39 + 6.59039e39i −0.448375 + 0.776608i −0.998280 0.0586189i \(-0.981330\pi\)
0.549906 + 0.835227i \(0.314664\pi\)
\(314\) 1.29744e40i 1.45283i
\(315\) 6.42242e39 + 9.48861e38i 0.683487 + 0.100980i
\(316\) −7.00375e39 −0.708496
\(317\) −2.13286e39 1.23141e39i −0.205123 0.118428i 0.393920 0.919145i \(-0.371119\pi\)
−0.599043 + 0.800717i \(0.704452\pi\)
\(318\) −1.11997e40 8.56600e39i −1.02417 0.783328i
\(319\) −1.09245e39 1.89217e39i −0.0950056 0.164555i
\(320\) −3.02298e39 1.74532e39i −0.250055 0.144369i
\(321\) −3.95875e39 9.51506e39i −0.311514 0.748740i
\(322\) −4.56401e39 + 3.36688e39i −0.341706 + 0.252077i
\(323\) 1.57354e38i 0.0112108i
\(324\) −9.41843e39 5.35930e39i −0.638643 0.363403i
\(325\) 6.99071e39 + 1.21083e40i 0.451219 + 0.781535i
\(326\) −2.21671e40 + 1.27982e40i −1.36216 + 0.786442i
\(327\) −3.69973e39 + 2.84466e40i −0.216474 + 1.66443i
\(328\) 9.14849e39 0.509763
\(329\) −5.69090e39 + 1.30360e40i −0.302027 + 0.691848i
\(330\) 3.67511e39 + 8.83332e39i 0.185801 + 0.446581i
\(331\) −1.56412e40 + 2.70914e40i −0.753395 + 1.30492i 0.192774 + 0.981243i \(0.438252\pi\)
−0.946168 + 0.323675i \(0.895082\pi\)
\(332\) −1.14372e40 + 6.60327e39i −0.524940 + 0.303075i
\(333\) 2.63423e40 + 6.96998e39i 1.15225 + 0.304877i
\(334\) −2.48897e40 + 4.31103e40i −1.03771 + 1.79737i
\(335\) 1.53137e40i 0.608642i
\(336\) 1.52898e40 + 2.75768e40i 0.579395 + 1.04500i
\(337\) 2.92717e40 1.05772 0.528859 0.848710i \(-0.322620\pi\)
0.528859 + 0.848710i \(0.322620\pi\)
\(338\) −6.55823e40 3.78639e40i −2.26006 1.30484i
\(339\) 3.35570e40 4.38745e40i 1.10303 1.44217i
\(340\) 3.50024e39 + 6.06259e39i 0.109758 + 0.190106i
\(341\) −6.52142e39 3.76514e39i −0.195107 0.112645i
\(342\) 8.48482e38 + 8.43180e38i 0.0242228 + 0.0240715i
\(343\) −1.21000e40 3.46515e40i −0.329670 0.944096i
\(344\) 8.40778e39i 0.218648i
\(345\) −1.15718e39 + 8.89739e39i −0.0287274 + 0.220880i
\(346\) −4.72257e40 8.17974e40i −1.11934 1.93875i
\(347\) 9.55972e39 5.51931e39i 0.216358 0.124915i −0.387905 0.921700i \(-0.626801\pi\)
0.604263 + 0.796785i \(0.293468\pi\)
\(348\) 1.20517e40 + 1.56742e39i 0.260483 + 0.0338781i
\(349\) 5.48144e40 1.13159 0.565794 0.824547i \(-0.308570\pi\)
0.565794 + 0.824547i \(0.308570\pi\)
\(350\) −3.46892e40 + 3.90098e39i −0.684078 + 0.0769280i
\(351\) 3.46736e40 8.48353e40i 0.653259 1.59832i
\(352\) −1.80771e40 + 3.13105e40i −0.325422 + 0.563647i
\(353\) 9.57687e40 5.52921e40i 1.64751 0.951190i 0.669453 0.742854i \(-0.266529\pi\)
0.978057 0.208336i \(-0.0668048\pi\)
\(354\) 1.14604e40 + 8.76536e39i 0.188429 + 0.144118i
\(355\) 2.79914e40 4.84826e40i 0.439918 0.761960i
\(356\) 2.91208e40i 0.437525i
\(357\) 5.22157e38 3.00957e40i 0.00750083 0.432328i
\(358\) −1.79063e41 −2.45967
\(359\) −3.45456e39 1.99449e39i −0.0453818 0.0262012i 0.477137 0.878829i \(-0.341674\pi\)
−0.522519 + 0.852627i \(0.675008\pi\)
\(360\) 1.85681e40 + 4.91300e39i 0.233307 + 0.0617314i
\(361\) 4.15713e40 + 7.20035e40i 0.499664 + 0.865443i
\(362\) −8.55701e40 4.94039e40i −0.983977 0.568099i
\(363\) −6.02072e40 + 2.50492e40i −0.662434 + 0.275606i
\(364\) 9.69716e40 7.15361e40i 1.02099 0.753188i
\(365\) 9.97427e40i 1.00507i
\(366\) 6.60904e39 + 8.59563e38i 0.0637443 + 0.00829049i
\(367\) 1.10497e40 + 1.91387e40i 0.102022 + 0.176708i 0.912518 0.409037i \(-0.134135\pi\)
−0.810495 + 0.585745i \(0.800802\pi\)
\(368\) −3.77396e40 + 2.17890e40i −0.333605 + 0.192607i
\(369\) 1.66404e41 4.51472e40i 1.40845 0.382128i
\(370\) 1.33817e41 1.08463
\(371\) 7.48638e40 + 1.01482e41i 0.581151 + 0.787787i
\(372\) 3.86727e40 1.60898e40i 0.287552 0.119636i
\(373\) −5.33191e40 + 9.23514e40i −0.379788 + 0.657812i −0.991031 0.133631i \(-0.957336\pi\)
0.611243 + 0.791443i \(0.290670\pi\)
\(374\) 3.84153e40 2.21791e40i 0.262155 0.151355i
\(375\) −9.77412e40 + 1.27793e41i −0.639113 + 0.835616i
\(376\) −2.10411e40 + 3.64442e40i −0.131845 + 0.228362i
\(377\) 1.02784e41i 0.617251i
\(378\) 1.59484e41 + 1.64083e41i 0.918010 + 0.944486i
\(379\) −2.57242e41 −1.41943 −0.709717 0.704487i \(-0.751177\pi\)
−0.709717 + 0.704487i \(0.751177\pi\)
\(380\) 2.15483e39 + 1.24409e39i 0.0113992 + 0.00658135i
\(381\) −6.99601e40 5.35083e40i −0.354855 0.271407i
\(382\) −1.00872e41 1.74715e41i −0.490631 0.849797i
\(383\) 4.01440e40 + 2.31771e40i 0.187258 + 0.108113i 0.590698 0.806893i \(-0.298852\pi\)
−0.403440 + 0.915006i \(0.632186\pi\)
\(384\) 5.78714e40 + 1.39097e41i 0.258919 + 0.622326i
\(385\) −9.56237e39 8.50328e40i −0.0410387 0.364934i
\(386\) 1.66467e41i 0.685380i
\(387\) −4.14918e40 1.52931e41i −0.163903 0.604115i
\(388\) 3.62483e40 + 6.27839e40i 0.137398 + 0.237980i
\(389\) −8.32613e40 + 4.80710e40i −0.302865 + 0.174859i −0.643729 0.765253i \(-0.722614\pi\)
0.340864 + 0.940113i \(0.389280\pi\)
\(390\) 5.80472e40 4.46316e41i 0.202650 1.55815i
\(391\) 4.15995e40 0.139399
\(392\) −2.41174e40 1.05875e41i −0.0775808 0.340579i
\(393\) 1.55641e41 + 3.74092e41i 0.480667 + 1.15531i
\(394\) −1.91596e40 + 3.31853e40i −0.0568128 + 0.0984027i
\(395\) 2.02616e41 1.16980e41i 0.576925 0.333088i
\(396\) −3.65342e40 + 1.38077e41i −0.0999025 + 0.377571i
\(397\) 2.87629e41 4.98189e41i 0.755414 1.30842i −0.189754 0.981832i \(-0.560769\pi\)
0.945168 0.326584i \(-0.105898\pi\)
\(398\) 8.96722e41i 2.26219i
\(399\) −5.18774e39 9.35662e39i −0.0125722 0.0226753i
\(400\) −2.68220e41 −0.624498
\(401\) 4.82457e41 + 2.78547e41i 1.07932 + 0.623144i 0.930712 0.365753i \(-0.119189\pi\)
0.148604 + 0.988897i \(0.452522\pi\)
\(402\) 3.27901e41 4.28719e41i 0.704898 0.921628i
\(403\) 1.77123e41 + 3.06786e41i 0.365927 + 0.633804i
\(404\) 1.71999e40 + 9.93037e39i 0.0341526 + 0.0197180i
\(405\) 3.61985e41 2.26895e39i 0.690892 0.00433057i
\(406\) −2.35189e41 1.02672e41i −0.431519 0.188380i
\(407\) 3.59149e41i 0.633526i
\(408\) 1.14853e40 8.83084e40i 0.0194795 0.149775i
\(409\) −3.81814e41 6.61321e41i −0.622700 1.07855i −0.988981 0.148044i \(-0.952702\pi\)
0.366281 0.930504i \(-0.380631\pi\)
\(410\) 7.33298e41 4.23370e41i 1.15011 0.664015i
\(411\) −1.31140e42 1.70558e41i −1.97817 0.257279i
\(412\) −5.01853e39 −0.00728151
\(413\) −7.66061e40 1.03844e41i −0.106921 0.144938i
\(414\) −2.22910e41 + 2.24312e41i −0.299312 + 0.301194i
\(415\) 2.20582e41 3.82060e41i 0.284971 0.493585i
\(416\) 1.47293e42 8.50399e41i 1.83101 1.05713i
\(417\) 4.90275e41 + 3.74982e41i 0.586493 + 0.448574i
\(418\) 7.88312e39 1.36540e40i 0.00907565 0.0157195i
\(419\) 9.73319e41i 1.07853i −0.842137 0.539263i \(-0.818703\pi\)
0.842137 0.539263i \(-0.181297\pi\)
\(420\) 4.08007e41 + 2.45097e41i 0.435190 + 0.261426i
\(421\) 4.63482e40 0.0475904 0.0237952 0.999717i \(-0.492425\pi\)
0.0237952 + 0.999717i \(0.492425\pi\)
\(422\) −1.04885e42 6.05556e41i −1.03685 0.598625i
\(423\) −2.02871e41 + 7.66728e41i −0.193096 + 0.729786i
\(424\) 1.86547e41 + 3.23108e41i 0.170975 + 0.296138i
\(425\) 2.21739e41 + 1.28021e41i 0.195713 + 0.112995i
\(426\) 1.82177e42 7.57948e41i 1.54860 0.644297i
\(427\) −5.46294e40 2.38486e40i −0.0447281 0.0195261i
\(428\) 7.55554e41i 0.595889i
\(429\) −1.19786e42 1.55792e41i −0.910102 0.118367i
\(430\) −3.89091e41 6.73926e41i −0.284811 0.493307i
\(431\) −5.11918e41 + 2.95556e41i −0.361047 + 0.208451i −0.669540 0.742776i \(-0.733509\pi\)
0.308493 + 0.951227i \(0.400175\pi\)
\(432\) 1.07685e42 + 1.38980e42i 0.731839 + 0.944525i
\(433\) −5.66056e41 −0.370726 −0.185363 0.982670i \(-0.559346\pi\)
−0.185363 + 0.982670i \(0.559346\pi\)
\(434\) −8.78917e41 + 9.88387e40i −0.554769 + 0.0623866i
\(435\) −3.74830e41 + 1.55948e41i −0.228038 + 0.0948751i
\(436\) −1.05155e42 + 1.82134e42i −0.616660 + 1.06809i
\(437\) 1.28048e40 7.39285e39i 0.00723885 0.00417935i
\(438\) −2.13572e42 + 2.79238e42i −1.16402 + 1.52191i
\(439\) −1.36522e42 + 2.36464e42i −0.717417 + 1.24260i 0.244603 + 0.969623i \(0.421342\pi\)
−0.962020 + 0.272979i \(0.911991\pi\)
\(440\) 2.53157e41i 0.128276i
\(441\) −9.61166e41 1.80677e42i −0.469657 0.882849i
\(442\) −2.08673e42 −0.983356
\(443\) −2.17760e42 1.25724e42i −0.989733 0.571423i −0.0845386 0.996420i \(-0.526942\pi\)
−0.905195 + 0.424998i \(0.860275\pi\)
\(444\) 1.58680e42 + 1.21365e42i 0.695656 + 0.532066i
\(445\) −4.86391e41 8.42453e41i −0.205696 0.356275i
\(446\) 3.72929e42 + 2.15311e42i 1.52149 + 0.878432i
\(447\) 8.28792e41 + 1.99205e42i 0.326231 + 0.784114i
\(448\) 1.22966e41 + 1.09347e42i 0.0467021 + 0.415296i
\(449\) 3.24683e42i 1.18992i 0.803755 + 0.594960i \(0.202832\pi\)
−0.803755 + 0.594960i \(0.797168\pi\)
\(450\) −1.87850e42 + 5.09658e41i −0.664372 + 0.180251i
\(451\) −1.13628e42 1.96809e42i −0.387846 0.671769i
\(452\) 3.50705e42 2.02479e42i 1.15538 0.667062i
\(453\) −1.80599e41 + 1.38860e42i −0.0574307 + 0.441575i
\(454\) −7.80099e42 −2.39473
\(455\) −1.61052e42 + 3.68918e42i −0.477291 + 1.09332i
\(456\) −1.21584e40 2.92235e40i −0.00347889 0.00836170i
\(457\) −9.59529e41 + 1.66195e42i −0.265093 + 0.459155i −0.967588 0.252534i \(-0.918736\pi\)
0.702495 + 0.711689i \(0.252069\pi\)
\(458\) −8.42760e41 + 4.86567e41i −0.224831 + 0.129806i
\(459\) −2.26888e41 1.66294e42i −0.0584533 0.428424i
\(460\) −3.28899e41 + 5.69669e41i −0.0818345 + 0.141742i
\(461\) 1.33312e42i 0.320371i −0.987087 0.160185i \(-0.948791\pi\)
0.987087 0.160185i \(-0.0512092\pi\)
\(462\) 1.55304e42 2.58532e42i 0.360506 0.600125i
\(463\) 5.60783e41 0.125747 0.0628737 0.998021i \(-0.479973\pi\)
0.0628737 + 0.998021i \(0.479973\pi\)
\(464\) −1.70763e42 9.85901e41i −0.369918 0.213573i
\(465\) −8.50045e41 + 1.11140e42i −0.177908 + 0.232608i
\(466\) −9.88721e41 1.71251e42i −0.199940 0.346306i
\(467\) −2.92495e42 1.68872e42i −0.571542 0.329980i 0.186223 0.982507i \(-0.440375\pi\)
−0.757765 + 0.652528i \(0.773709\pi\)
\(468\) 4.73618e42 4.76596e42i 0.894323 0.899946i
\(469\) −3.88469e42 + 2.86574e42i −0.708910 + 0.522964i
\(470\) 3.89492e42i 0.686962i
\(471\) 8.34490e41 6.41626e42i 0.142261 1.09382i
\(472\) −1.90888e41 3.30628e41i −0.0314563 0.0544839i
\(473\) −1.80874e42 + 1.04428e42i −0.288137 + 0.166356i
\(474\) 8.17722e42 + 1.06352e42i 1.25937 + 0.163792i
\(475\) 9.10053e40 0.0135509
\(476\) 8.82906e41 2.02245e42i 0.127117 0.291184i
\(477\) 4.98766e42 + 4.95649e42i 0.694389 + 0.690050i
\(478\) 3.17785e42 5.50420e42i 0.427846 0.741051i
\(479\) 3.48369e42 2.01131e42i 0.453598 0.261885i −0.255751 0.966743i \(-0.582323\pi\)
0.709348 + 0.704858i \(0.248989\pi\)
\(480\) 5.33603e42 + 4.08121e42i 0.671984 + 0.513960i
\(481\) −8.44770e42 + 1.46318e43i −1.02900 + 1.78229i
\(482\) 9.36304e42i 1.10322i
\(483\) 2.47359e42 1.37148e42i 0.281952 0.156327i
\(484\) −4.78082e42 −0.527202
\(485\) −2.09730e42 1.21088e42i −0.223765 0.129191i
\(486\) 1.01827e43 + 7.68743e42i 1.05119 + 0.793598i
\(487\) −5.07420e42 8.78877e42i −0.506879 0.877940i −0.999968 0.00796114i \(-0.997466\pi\)
0.493090 0.869979i \(-0.335867\pi\)
\(488\) −1.52725e41 8.81758e40i −0.0147636 0.00852378i
\(489\) 1.17855e43 4.90335e42i 1.10257 0.458724i
\(490\) −6.83279e42 7.37036e42i −0.618673 0.667346i
\(491\) 1.18052e43i 1.03459i 0.855807 + 0.517295i \(0.173061\pi\)
−0.855807 + 0.517295i \(0.826939\pi\)
\(492\) 1.25352e43 + 1.63031e42i 1.06338 + 0.138302i
\(493\) 9.41140e41 + 1.63010e42i 0.0772865 + 0.133864i
\(494\) −6.42321e41 + 3.70844e41i −0.0510647 + 0.0294822i
\(495\) −1.24931e42 4.60472e42i −0.0961585 0.354422i
\(496\) −6.79586e42 −0.506451
\(497\) −1.75370e43 + 1.97213e42i −1.26548 + 0.142309i
\(498\) 1.43562e43 5.97290e42i 1.00316 0.417364i
\(499\) 1.33989e43 2.32076e43i 0.906694 1.57044i 0.0880667 0.996115i \(-0.471931\pi\)
0.818627 0.574325i \(-0.194736\pi\)
\(500\) −1.02150e43 + 5.89761e42i −0.669448 + 0.386506i
\(501\) 1.50815e43 1.97185e43i 0.957285 1.25161i
\(502\) 6.51087e42 1.12772e43i 0.400294 0.693330i
\(503\) 8.70214e42i 0.518249i −0.965844 0.259124i \(-0.916566\pi\)
0.965844 0.259124i \(-0.0834340\pi\)
\(504\) −2.22847e42 5.62967e42i −0.128563 0.324784i
\(505\) −6.63449e41 −0.0370805
\(506\) 3.60968e42 + 2.08405e42i 0.195461 + 0.112849i
\(507\) 2.99971e43 + 2.29430e43i 1.57381 + 1.20371i
\(508\) −3.22864e42 5.59216e42i −0.164134 0.284289i
\(509\) −8.09641e42 4.67446e42i −0.398848 0.230275i 0.287139 0.957889i \(-0.407296\pi\)
−0.685987 + 0.727614i \(0.740629\pi\)
\(510\) −3.16610e42 7.60988e42i −0.151148 0.363291i
\(511\) 2.53022e43 1.86655e43i 1.17064 0.863584i
\(512\) 2.33204e43i 1.04572i
\(513\) −3.65369e41 4.71551e41i −0.0158801 0.0204951i
\(514\) 7.79888e42 + 1.35081e43i 0.328566 + 0.569093i
\(515\) 1.45184e41 8.38221e40i 0.00592930 0.00342328i
\(516\) 1.49831e42 1.15203e43i 0.0593208 0.456108i
\(517\) 1.04535e43 0.401249
\(518\) −2.50420e43 3.39459e43i −0.931949 1.26331i
\(519\) 1.80935e43 + 4.34888e43i 0.652899 + 1.56928i
\(520\) −5.95460e42 + 1.03137e43i −0.208353 + 0.360878i
\(521\) 1.72470e43 9.95757e42i 0.585208 0.337870i −0.177992 0.984032i \(-0.556960\pi\)
0.763200 + 0.646162i \(0.223627\pi\)
\(522\) −1.38329e43 3.66009e42i −0.455182 0.120438i
\(523\) 2.38207e42 4.12586e42i 0.0760199 0.131670i −0.825509 0.564388i \(-0.809112\pi\)
0.901529 + 0.432718i \(0.142445\pi\)
\(524\) 2.97052e43i 0.919459i
\(525\) 1.74058e43 + 3.01988e41i 0.522570 + 0.00906652i
\(526\) −8.40307e43 −2.44718
\(527\) 5.61819e42 + 3.24366e42i 0.158718 + 0.0916359i
\(528\) 1.40782e43 1.84067e43i 0.385837 0.504468i
\(529\) −1.68500e43 2.91851e43i −0.448033 0.776015i
\(530\) 2.99053e43 + 1.72658e43i 0.771498 + 0.445424i
\(531\) −5.10374e42 5.07185e42i −0.127754 0.126956i
\(532\) −8.76521e40 7.79441e41i −0.00212900 0.0189320i
\(533\) 1.06907e44i 2.51984i
\(534\) 4.42199e42 3.39999e43i 0.101148 0.777711i
\(535\) 1.26197e43 + 2.18579e43i 0.280148 + 0.485230i
\(536\) −1.23684e43 + 7.14090e42i −0.266488 + 0.153857i
\(537\) 8.85520e43 + 1.15170e43i 1.85187 + 0.240851i
\(538\) −1.13011e44 −2.29406
\(539\) −1.97812e43 + 1.83385e43i −0.389792 + 0.361362i
\(540\) 2.45664e43 + 1.00407e43i 0.469939 + 0.192072i
\(541\) −7.27096e42 + 1.25937e43i −0.135032 + 0.233882i −0.925610 0.378480i \(-0.876447\pi\)
0.790578 + 0.612361i \(0.209780\pi\)
\(542\) 3.99936e43 2.30903e43i 0.721111 0.416334i
\(543\) 3.91395e43 + 2.99355e43i 0.685201 + 0.524069i
\(544\) 1.55734e43 2.69739e43i 0.264729 0.458523i
\(545\) 7.02541e43i 1.15965i
\(546\) −1.24082e44 + 6.87967e43i −1.98896 + 1.10277i
\(547\) −4.14634e43 −0.645457 −0.322729 0.946492i \(-0.604600\pi\)
−0.322729 + 0.946492i \(0.604600\pi\)
\(548\) −8.39641e43 4.84767e43i −1.26942 0.732899i
\(549\) −3.21309e42 8.50161e41i −0.0471808 0.0124837i
\(550\) 1.28272e43 + 2.22174e43i 0.182949 + 0.316876i
\(551\) 5.79388e41 + 3.34510e41i 0.00802683 + 0.00463429i
\(552\) 7.72577e42 3.21431e42i 0.103972 0.0432576i
\(553\) −6.75917e43 2.95073e43i −0.883673 0.385769i
\(554\) 8.24039e43i 1.04663i
\(555\) −6.61765e43 8.60683e42i −0.816612 0.106208i
\(556\) 2.26261e43 + 3.91895e43i 0.271277 + 0.469865i
\(557\) 1.38673e44 8.00627e43i 1.61550 0.932712i 0.627440 0.778665i \(-0.284103\pi\)
0.988064 0.154047i \(-0.0492307\pi\)
\(558\) −4.75954e43 + 1.29132e43i −0.538788 + 0.146179i
\(559\) 9.82516e43 1.08081
\(560\) −4.58434e43 6.21435e43i −0.490081 0.664336i
\(561\) −2.04241e43 + 8.49745e42i −0.212196 + 0.0882841i
\(562\) 3.96715e43 6.87131e43i 0.400588 0.693839i
\(563\) 8.60265e43 4.96674e43i 0.844302 0.487458i −0.0144222 0.999896i \(-0.504591\pi\)
0.858724 + 0.512438i \(0.171258\pi\)
\(564\) −3.53249e43 + 4.61860e43i −0.336989 + 0.440600i
\(565\) −6.76383e43 + 1.17153e44i −0.627217 + 1.08637i
\(566\) 4.95437e43i 0.446607i
\(567\) −6.83161e43 9.14019e43i −0.598679 0.800989i
\(568\) −5.22106e43 −0.444821
\(569\) −2.38775e43 1.37857e43i −0.197784 0.114191i 0.397837 0.917456i \(-0.369761\pi\)
−0.595622 + 0.803265i \(0.703094\pi\)
\(570\) −2.32695e42 1.77975e42i −0.0187409 0.0143338i
\(571\) 1.03720e44 + 1.79648e44i 0.812241 + 1.40684i 0.911292 + 0.411760i \(0.135086\pi\)
−0.0990519 + 0.995082i \(0.531581\pi\)
\(572\) −7.66949e43 4.42798e43i −0.584023 0.337186i
\(573\) 3.86468e43 + 9.28896e43i 0.286180 + 0.687849i
\(574\) −2.44625e44 1.06791e44i −1.76161 0.769035i
\(575\) 2.40589e43i 0.168496i
\(576\) 1.60654e43 + 5.92138e43i 0.109429 + 0.403332i
\(577\) 1.22794e44 + 2.12686e44i 0.813513 + 1.40905i 0.910391 + 0.413750i \(0.135781\pi\)
−0.0968774 + 0.995296i \(0.530885\pi\)
\(578\) 1.43916e44 8.30901e43i 0.927395 0.535432i
\(579\) −1.07068e43 + 8.23231e43i −0.0671126 + 0.516018i
\(580\) −2.97638e43 −0.181485
\(581\) −1.38198e44 + 1.55410e43i −0.819753 + 0.0921854i
\(582\) −3.27879e43 7.88076e43i −0.189211 0.454779i
\(583\) 4.63396e43 8.02626e43i 0.260169 0.450626i
\(584\) 8.05593e43 4.65109e43i 0.440058 0.254068i
\(585\) −5.74123e43 + 2.16983e44i −0.305148 + 1.15327i
\(586\) −1.70469e44 + 2.95262e44i −0.881626 + 1.52702i
\(587\) 3.18219e44i 1.60146i −0.599025 0.800731i \(-0.704445\pi\)
0.599025 0.800731i \(-0.295555\pi\)
\(588\) −1.41780e43 1.49368e44i −0.0694348 0.731509i
\(589\) 2.30579e42 0.0109894
\(590\) −3.06013e43 1.76677e43i −0.141941 0.0819497i
\(591\) 1.16094e43 1.51789e43i 0.0524096 0.0685236i
\(592\) −1.62061e44 2.80697e44i −0.712083 1.23336i
\(593\) 3.91958e44 + 2.26297e44i 1.67635 + 0.967839i 0.963958 + 0.266055i \(0.0857201\pi\)
0.712389 + 0.701785i \(0.247613\pi\)
\(594\) 6.36224e43 1.55664e44i 0.264866 0.648044i
\(595\) 8.23795e42 + 7.32555e43i 0.0333847 + 0.296872i
\(596\) 1.58181e44i 0.624041i
\(597\) 5.76754e43 4.43457e44i 0.221514 1.70319i
\(598\) −9.80396e43 1.69809e44i −0.366591 0.634955i
\(599\) −8.46699e42 + 4.88842e42i −0.0308248 + 0.0177967i −0.515333 0.856990i \(-0.672332\pi\)
0.484508 + 0.874787i \(0.338998\pi\)
\(600\) 5.10729e43 + 6.64248e42i 0.181038 + 0.0235456i
\(601\) 1.89204e44 0.653038 0.326519 0.945191i \(-0.394124\pi\)
0.326519 + 0.945191i \(0.394124\pi\)
\(602\) −9.81450e43 + 2.24819e44i −0.329856 + 0.755594i
\(603\) −1.89732e44 + 1.90925e44i −0.620959 + 0.624864i
\(604\) −5.13305e43 + 8.89071e43i −0.163600 + 0.283364i
\(605\) 1.38307e44 7.98518e43i 0.429298 0.247856i
\(606\) −1.85738e43 1.42060e43i −0.0561486 0.0429447i
\(607\) 2.65117e44 4.59196e44i 0.780582 1.35201i −0.151020 0.988531i \(-0.548256\pi\)
0.931603 0.363478i \(-0.118411\pi\)
\(608\) 1.10705e43i 0.0317476i
\(609\) 1.09704e44 + 6.59014e43i 0.306442 + 0.184085i
\(610\) −1.63222e43 −0.0444122
\(611\) −4.25880e44 2.45882e44i −1.12883 0.651729i
\(612\) 3.14741e43 1.18953e44i 0.0812701 0.307151i
\(613\) 1.93486e44 + 3.35128e44i 0.486724 + 0.843031i 0.999884 0.0152626i \(-0.00485841\pi\)
−0.513160 + 0.858293i \(0.671525\pi\)
\(614\) 4.77630e44 + 2.75760e44i 1.17057 + 0.675830i
\(615\) −3.89869e44 + 1.62205e44i −0.930929 + 0.387314i
\(616\) −6.42195e43 + 4.73748e43i −0.149409 + 0.110219i
\(617\) 3.57452e44i 0.810318i 0.914246 + 0.405159i \(0.132784\pi\)
−0.914246 + 0.405159i \(0.867216\pi\)
\(618\) 5.85938e42 + 7.62063e41i 0.0129430 + 0.00168335i
\(619\) −1.53716e44 2.66243e44i −0.330878 0.573097i 0.651806 0.758385i \(-0.274011\pi\)
−0.982684 + 0.185288i \(0.940678\pi\)
\(620\) −8.88384e43 + 5.12909e43i −0.186352 + 0.107590i
\(621\) 1.24663e44 9.65920e43i 0.254843 0.197458i
\(622\) 6.02694e44 1.20075
\(623\) −1.22688e44 + 2.81039e44i −0.238228 + 0.545704i
\(624\) −1.00650e45 + 4.18756e44i −1.90485 + 0.792515i
\(625\) 5.53455e43 9.58612e43i 0.102094 0.176833i
\(626\) 5.68873e44 3.28439e44i 1.02288 0.590562i
\(627\) −4.77664e42 + 6.24528e42i −0.00837225 + 0.0109464i
\(628\) 2.37182e44 4.10811e44i 0.405254 0.701920i
\(629\) 3.09406e44i 0.515369i
\(630\) −4.39150e44 3.48118e44i −0.713123 0.565299i
\(631\) 3.47882e44 0.550760 0.275380 0.961335i \(-0.411196\pi\)
0.275380 + 0.961335i \(0.411196\pi\)
\(632\) −1.88963e44 1.09098e44i −0.291678 0.168400i
\(633\) 4.79742e44 + 3.66926e44i 0.722019 + 0.552229i
\(634\) 1.06293e44 + 1.84105e44i 0.155983 + 0.270171i
\(635\) 1.86806e44 + 1.07853e44i 0.267308 + 0.154330i
\(636\) 1.98025e44 + 4.75965e44i 0.276317 + 0.664142i
\(637\) 1.23724e45 2.81832e44i 1.68354 0.383494i
\(638\) 1.88597e44i 0.250267i
\(639\) −9.49671e44 + 2.57656e44i −1.22902 + 0.333447i
\(640\) −1.84482e44 3.19532e44i −0.232849 0.403306i
\(641\) −1.09270e45 + 6.30872e44i −1.34516 + 0.776627i −0.987559 0.157248i \(-0.949738\pi\)
−0.357599 + 0.933875i \(0.616405\pi\)
\(642\) −1.14731e44 + 8.82146e44i −0.137759 + 1.05921i
\(643\) 7.75216e44 0.907919 0.453960 0.891022i \(-0.350011\pi\)
0.453960 + 0.891022i \(0.350011\pi\)
\(644\) 2.06060e44 2.31724e43i 0.235407 0.0264727i
\(645\) 1.49072e44 + 3.58303e44i 0.166127 + 0.399296i
\(646\) −6.79129e42 + 1.17629e43i −0.00738298 + 0.0127877i
\(647\) 2.24236e44 1.29463e44i 0.237814 0.137302i −0.376358 0.926474i \(-0.622824\pi\)
0.614172 + 0.789173i \(0.289490\pi\)
\(648\) −1.70630e44 2.91307e44i −0.176544 0.301405i
\(649\) −4.74181e43 + 8.21306e43i −0.0478662 + 0.0829067i
\(650\) 1.20686e45i 1.18862i
\(651\) 4.41009e44 + 7.65144e42i 0.423791 + 0.00735271i
\(652\) 9.35839e44 0.877485
\(653\) −2.97095e44 1.71528e44i −0.271822 0.156936i 0.357893 0.933762i \(-0.383495\pi\)
−0.629715 + 0.776826i \(0.716828\pi\)
\(654\) 1.50431e45 1.96682e45i 1.34305 1.75599i
\(655\) −4.96152e44 8.59361e44i −0.432269 0.748712i
\(656\) −1.77614e45 1.02546e45i −1.51014 0.871878i
\(657\) 1.23578e45 1.24355e45i 1.02541 1.03185i
\(658\) 9.88043e44 7.28881e44i 0.800132 0.590258i
\(659\) 2.21759e45i 1.75273i 0.481647 + 0.876365i \(0.340039\pi\)
−0.481647 + 0.876365i \(0.659961\pi\)
\(660\) 4.51139e43 3.46874e44i 0.0348023 0.267589i
\(661\) 8.14514e43 + 1.41078e44i 0.0613303 + 0.106227i 0.895060 0.445945i \(-0.147132\pi\)
−0.833730 + 0.552172i \(0.813799\pi\)
\(662\) 2.33849e45 1.35013e45i 1.71873 0.992309i
\(663\) 1.03195e45 + 1.34215e44i 0.740362 + 0.0962905i
\(664\) −4.11438e44 −0.288148
\(665\) 1.55544e43 + 2.10849e43i 0.0106342 + 0.0144154i
\(666\) −1.66837e45 1.65795e45i −1.11354 1.10658i
\(667\) −8.84338e43 + 1.53172e44i −0.0576242 + 0.0998081i
\(668\) 1.57617e45 9.10004e44i 1.00272 0.578922i
\(669\) −1.70577e45 1.30464e45i −1.05950 0.810350i
\(670\) −6.60927e44 + 1.14476e45i −0.400827 + 0.694252i
\(671\) 4.38071e43i 0.0259408i
\(672\) 3.67359e43 2.11736e45i 0.0212414 1.22430i
\(673\) −4.37086e44 −0.246789 −0.123394 0.992358i \(-0.539378\pi\)
−0.123394 + 0.992358i \(0.539378\pi\)
\(674\) −2.18818e45 1.26335e45i −1.20649 0.696569i
\(675\) 9.61757e44 1.31220e44i 0.517851 0.0706546i
\(676\) 1.38436e45 + 2.39778e45i 0.727950 + 1.26085i
\(677\) −1.63085e45 9.41572e44i −0.837520 0.483542i 0.0189004 0.999821i \(-0.493983\pi\)
−0.856421 + 0.516279i \(0.827317\pi\)
\(678\) −4.40211e45 + 1.83150e45i −2.20793 + 0.918612i
\(679\) 8.53119e43 + 7.58631e44i 0.0417920 + 0.371633i
\(680\) 2.18094e44i 0.104352i
\(681\) 3.85783e45 + 5.01745e44i 1.80297 + 0.234492i
\(682\) 3.25002e44 + 5.62920e44i 0.148367 + 0.256978i
\(683\) −2.68855e42 + 1.55224e42i −0.00119891 + 0.000692192i −0.500599 0.865679i \(-0.666887\pi\)
0.499400 + 0.866371i \(0.333554\pi\)
\(684\) −1.14516e43 4.22085e43i −0.00498850 0.0183867i
\(685\) 3.23873e45 1.37824
\(686\) −5.91011e44 + 3.11257e45i −0.245703 + 1.29400i
\(687\) 4.48066e44 1.86418e44i 0.181984 0.0757147i
\(688\) −9.42430e44 + 1.63234e45i −0.373968 + 0.647731i
\(689\) −3.77578e45 + 2.17995e45i −1.46386 + 0.845159i
\(690\) 4.70509e44 6.15173e44i 0.178231 0.233030i
\(691\) −1.11304e45 + 1.92784e45i −0.411966 + 0.713545i −0.995105 0.0988271i \(-0.968491\pi\)
0.583139 + 0.812372i \(0.301824\pi\)
\(692\) 3.45328e45i 1.24892i
\(693\) −9.34311e44 + 1.17863e45i −0.330187 + 0.416529i
\(694\) −9.52837e44 −0.329054
\(695\) −1.30913e45 7.55824e44i −0.441799 0.255073i
\(696\) 3.00742e44 + 2.30019e44i 0.0991849 + 0.0758606i
\(697\) 9.78900e44 + 1.69550e45i 0.315511 + 0.546480i
\(698\) −4.09760e45 2.36575e45i −1.29075 0.745217i
\(699\) 3.78807e44 + 9.10484e44i 0.116623 + 0.280309i
\(700\) 1.16968e45 + 5.10626e44i 0.351964 + 0.153651i
\(701\) 3.08146e44i 0.0906292i −0.998973 0.0453146i \(-0.985571\pi\)
0.998973 0.0453146i \(-0.0144290\pi\)
\(702\) −6.25343e45 + 4.84530e45i −1.79773 + 1.39292i
\(703\) 5.49862e43 + 9.52388e43i 0.0154514 + 0.0267626i
\(704\) 7.00332e44 4.04337e44i 0.192372 0.111066i
\(705\) 2.50513e44 1.92616e45i 0.0672675 0.517209i
\(706\) −9.54546e45 −2.50566
\(707\) 1.24155e44 + 1.68300e44i 0.0318607 + 0.0431891i
\(708\) −2.02634e44 4.87042e44i −0.0508371 0.122190i
\(709\) 9.51830e44 1.64862e45i 0.233464 0.404371i −0.725361 0.688368i \(-0.758327\pi\)
0.958825 + 0.283997i \(0.0916606\pi\)
\(710\) −4.18495e45 + 2.41618e45i −1.00359 + 0.579423i
\(711\) −3.97548e45 1.05189e45i −0.932130 0.246635i
\(712\) −4.53617e44 + 7.85687e44i −0.103994 + 0.180123i
\(713\) 6.09579e44i 0.136646i
\(714\) −1.33794e45 + 2.22724e45i −0.293269 + 0.488198i
\(715\) 2.95834e45 0.634090
\(716\) 5.66968e45 + 3.27339e45i 1.18837 + 0.686104i
\(717\) −1.92557e45 + 2.51761e45i −0.394686 + 0.516037i
\(718\) 1.72162e44 + 2.98193e44i 0.0345101 + 0.0597732i
\(719\) 5.59581e45 + 3.23074e45i 1.09698 + 0.633344i 0.935427 0.353519i \(-0.115015\pi\)
0.161557 + 0.986863i \(0.448348\pi\)
\(720\) −3.05423e45 3.03514e45i −0.585574 0.581915i
\(721\) −4.84328e43 2.11434e43i −0.00908187 0.00396470i
\(722\) 7.17674e45i 1.31623i
\(723\) −6.02212e44 + 4.63031e45i −0.108028 + 0.830610i
\(724\) 1.80628e45 + 3.12856e45i 0.316933 + 0.548944i
\(725\) −9.42765e44 + 5.44306e44i −0.161806 + 0.0934189i
\(726\) 5.58184e45 + 7.25967e44i 0.937112 + 0.121880i
\(727\) 8.47127e45 1.39123 0.695614 0.718416i \(-0.255133\pi\)
0.695614 + 0.718416i \(0.255133\pi\)
\(728\) 3.73064e45 4.19530e44i 0.599352 0.0674001i
\(729\) −4.54120e45 4.45660e45i −0.713724 0.700427i
\(730\) 4.30482e45 7.45617e45i 0.661896 1.14644i
\(731\) 1.55823e45 8.99643e44i 0.234397 0.135329i
\(732\) −1.93549e44 1.48034e44i −0.0284849 0.0217864i
\(733\) −3.34739e45 + 5.79786e45i −0.481996 + 0.834841i −0.999786 0.0206663i \(-0.993421\pi\)
0.517791 + 0.855507i \(0.326755\pi\)
\(734\) 1.90759e45i 0.268750i
\(735\) 2.90498e45 + 4.08434e45i 0.400448 + 0.563021i
\(736\) 2.92669e45 0.394759
\(737\) 3.07241e45 + 1.77385e45i 0.405507 + 0.234120i
\(738\) −1.43879e46 3.80694e45i −1.85821 0.491670i
\(739\) 7.40490e44 + 1.28257e45i 0.0935854 + 0.162095i 0.909017 0.416758i \(-0.136834\pi\)
−0.815432 + 0.578853i \(0.803501\pi\)