Properties

Label 21.33.h.b.2.7
Level $21$
Weight $33$
Character 21.2
Analytic conductor $136.220$
Analytic rank $0$
Dimension $164$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 2.7
Character \(\chi\) \(=\) 21.2
Dual form 21.33.h.b.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-100095. - 57789.7i) q^{2} +(-3.45400e7 - 2.56906e7i) q^{3} +(4.53182e9 + 7.84935e9i) q^{4} +(-4.47113e9 - 2.58141e9i) q^{5} +(1.97262e12 + 4.56755e12i) q^{6} +(-8.18737e12 - 3.22086e13i) q^{7} -5.51161e14i q^{8} +(5.33007e14 + 1.77471e15i) q^{9} +O(q^{10})\) \(q+(-100095. - 57789.7i) q^{2} +(-3.45400e7 - 2.56906e7i) q^{3} +(4.53182e9 + 7.84935e9i) q^{4} +(-4.47113e9 - 2.58141e9i) q^{5} +(1.97262e12 + 4.56755e12i) q^{6} +(-8.18737e12 - 3.22086e13i) q^{7} -5.51161e14i q^{8} +(5.33007e14 + 1.77471e15i) q^{9} +(2.98358e14 + 5.16770e14i) q^{10} +(-5.49555e16 + 3.17286e16i) q^{11} +(4.51251e16 - 3.87542e17i) q^{12} +8.95079e17 q^{13} +(-1.04181e18 + 3.69706e18i) q^{14} +(8.81150e16 + 2.04028e17i) q^{15} +(-1.23874e19 + 2.14557e19i) q^{16} +(1.11558e19 - 6.44081e18i) q^{17} +(4.92087e19 - 2.08441e20i) q^{18} +(-1.47932e20 + 2.56226e20i) q^{19} -4.67939e19i q^{20} +(-5.44666e20 + 1.32282e21i) q^{21} +7.33435e21 q^{22} +(8.13695e21 + 4.69787e21i) q^{23} +(-1.41597e22 + 1.90371e22i) q^{24} +(-1.16282e22 - 2.01406e22i) q^{25} +(-8.95927e22 - 5.17264e22i) q^{26} +(2.71832e22 - 7.49917e22i) q^{27} +(2.15713e23 - 2.10229e23i) q^{28} -3.48157e23i q^{29} +(2.97086e21 - 2.55142e22i) q^{30} +(-5.48453e23 - 9.49949e23i) q^{31} +(4.29763e23 - 2.48124e23i) q^{32} +(2.71329e24 + 3.15934e23i) q^{33} -1.48885e24 q^{34} +(-4.65367e22 + 1.65144e23i) q^{35} +(-1.15148e25 + 1.22264e25i) q^{36} +(4.86908e24 - 8.43349e24i) q^{37} +(2.96145e25 - 1.70979e25i) q^{38} +(-3.09160e25 - 2.29951e25i) q^{39} +(-1.42277e24 + 2.46431e24i) q^{40} +4.39129e25i q^{41} +(1.30964e26 - 1.00932e26i) q^{42} +1.75298e26 q^{43} +(-4.98097e26 - 2.87577e26i) q^{44} +(2.19810e24 - 9.31085e24i) q^{45} +(-5.42977e26 - 9.40464e26i) q^{46} +(3.59706e26 + 2.07676e26i) q^{47} +(9.79072e26 - 4.22839e26i) q^{48} +(-9.70362e26 + 5.27408e26i) q^{49} +2.68796e27i q^{50} +(-5.50790e26 - 6.41337e25i) q^{51} +(4.05634e27 + 7.02579e27i) q^{52} +(-3.18270e27 + 1.83753e27i) q^{53} +(-7.05465e27 + 5.93537e27i) q^{54} +3.27617e26 q^{55} +(-1.77521e28 + 4.51256e27i) q^{56} +(1.16922e28 - 5.04959e27i) q^{57} +(-2.01199e28 + 3.48487e28i) q^{58} +(-5.31906e27 + 3.07096e27i) q^{59} +(-1.20216e27 + 1.61626e27i) q^{60} +(-2.41488e27 + 4.18270e27i) q^{61} +1.26780e29i q^{62} +(5.27969e28 - 3.16976e28i) q^{63} +4.90513e28 q^{64} +(-4.00201e27 - 2.31056e27i) q^{65} +(-2.53329e29 - 1.88424e29i) q^{66} +(-9.66103e28 - 1.67334e29i) q^{67} +(1.01112e29 + 5.83772e28i) q^{68} +(-1.60359e29 - 3.71308e29i) q^{69} +(1.42017e28 - 1.38407e28i) q^{70} +5.90453e29i q^{71} +(9.78150e29 - 2.93773e29i) q^{72} +(-4.37203e29 - 7.57257e29i) q^{73} +(-9.74738e29 + 5.62765e29i) q^{74} +(-1.15787e29 + 9.94394e29i) q^{75} -2.68161e30 q^{76} +(1.47187e30 + 1.51027e30i) q^{77} +(1.76565e30 + 4.08832e30i) q^{78} +(-1.18663e30 + 2.05530e30i) q^{79} +(1.10772e29 - 6.39540e28i) q^{80} +(-2.86549e30 + 1.89186e30i) q^{81} +(2.53772e30 - 4.39545e30i) q^{82} +3.24407e30i q^{83} +(-1.28516e31 + 1.71953e30i) q^{84} -6.65054e28 q^{85} +(-1.75464e31 - 1.01304e31i) q^{86} +(-8.94436e30 + 1.20254e31i) q^{87} +(1.74876e31 + 3.02894e31i) q^{88} +(9.01342e29 + 5.20390e29i) q^{89} +(-7.58090e29 + 8.04940e29i) q^{90} +(-7.32834e30 - 2.88292e31i) q^{91} +8.51597e31i q^{92} +(-5.46116e30 + 4.69014e31i) q^{93} +(-2.40031e31 - 4.15746e31i) q^{94} +(1.32285e30 - 7.63746e29i) q^{95} +(-2.12185e31 - 2.47066e30i) q^{96} -2.77862e31 q^{97} +(1.27607e32 + 3.28620e30i) q^{98} +(-8.56006e31 - 8.06184e31i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −100095. 57789.7i −1.52732 0.881801i −0.999473 0.0324650i \(-0.989664\pi\)
−0.527852 0.849336i \(-0.677002\pi\)
\(3\) −3.45400e7 2.56906e7i −0.802385 0.596807i
\(4\) 4.53182e9 + 7.84935e9i 1.05515 + 1.82757i
\(5\) −4.47113e9 2.58141e9i −0.0293020 0.0169175i 0.485277 0.874360i \(-0.338719\pi\)
−0.514579 + 0.857443i \(0.672052\pi\)
\(6\) 1.97262e12 + 4.56755e12i 0.699236 + 1.61906i
\(7\) −8.18737e12 3.22086e13i −0.246363 0.969178i
\(8\) 5.51161e14i 1.95812i
\(9\) 5.33007e14 + 1.77471e15i 0.287642 + 0.957738i
\(10\) 2.98358e14 + 5.16770e14i 0.0298358 + 0.0516770i
\(11\) −5.49555e16 + 3.17286e16i −1.19599 + 0.690506i −0.959659 0.281166i \(-0.909279\pi\)
−0.236333 + 0.971672i \(0.575946\pi\)
\(12\) 4.51251e16 3.87542e17i 0.244072 2.09613i
\(13\) 8.95079e17 1.34514 0.672570 0.740033i \(-0.265190\pi\)
0.672570 + 0.740033i \(0.265190\pi\)
\(14\) −1.04181e18 + 3.69706e18i −0.478346 + 1.69749i
\(15\) 8.81150e16 + 2.04028e17i 0.0134150 + 0.0310620i
\(16\) −1.23874e19 + 2.14557e19i −0.671524 + 1.16311i
\(17\) 1.11558e19 6.44081e18i 0.229255 0.132360i −0.380973 0.924586i \(-0.624411\pi\)
0.610228 + 0.792226i \(0.291078\pi\)
\(18\) 4.92087e19 2.08441e20i 0.405212 1.71642i
\(19\) −1.47932e20 + 2.56226e20i −0.512867 + 0.888312i 0.487022 + 0.873390i \(0.338083\pi\)
−0.999889 + 0.0149219i \(0.995250\pi\)
\(20\) 4.67939e19i 0.0714018i
\(21\) −5.44666e20 + 1.32282e21i −0.380734 + 0.924685i
\(22\) 7.33435e21 2.43556
\(23\) 8.13695e21 + 4.69787e21i 1.32683 + 0.766047i 0.984809 0.173644i \(-0.0555541\pi\)
0.342024 + 0.939691i \(0.388887\pi\)
\(24\) −1.41597e22 + 1.90371e22i −1.16862 + 1.57116i
\(25\) −1.16282e22 2.01406e22i −0.499428 0.865034i
\(26\) −8.95927e22 5.17264e22i −2.05447 1.18615i
\(27\) 2.71832e22 7.49917e22i 0.340785 0.940141i
\(28\) 2.15713e23 2.10229e23i 1.51129 1.47287i
\(29\) 3.48157e23i 1.39126i −0.718402 0.695628i \(-0.755126\pi\)
0.718402 0.695628i \(-0.244874\pi\)
\(30\) 2.97086e21 2.55142e22i 0.00690148 0.0592711i
\(31\) −5.48453e23 9.49949e23i −0.753967 1.30591i −0.945886 0.324499i \(-0.894804\pi\)
0.191919 0.981411i \(-0.438529\pi\)
\(32\) 4.29763e23 2.48124e23i 0.355491 0.205243i
\(33\) 2.71329e24 + 3.15934e23i 1.37174 + 0.159725i
\(34\) −1.48885e24 −0.466862
\(35\) −4.65367e22 + 1.65144e23i −0.00917714 + 0.0325667i
\(36\) −1.15148e25 + 1.22264e25i −1.44683 + 1.53624i
\(37\) 4.86908e24 8.43349e24i 0.394656 0.683565i −0.598401 0.801197i \(-0.704197\pi\)
0.993057 + 0.117632i \(0.0375303\pi\)
\(38\) 2.96145e25 1.70979e25i 1.56663 0.904494i
\(39\) −3.09160e25 2.29951e25i −1.07932 0.802790i
\(40\) −1.42277e24 + 2.46431e24i −0.0331265 + 0.0573767i
\(41\) 4.39129e25i 0.688732i 0.938835 + 0.344366i \(0.111906\pi\)
−0.938835 + 0.344366i \(0.888094\pi\)
\(42\) 1.30964e26 1.00932e26i 1.39689 1.07656i
\(43\) 1.75298e26 1.28316 0.641580 0.767056i \(-0.278279\pi\)
0.641580 + 0.767056i \(0.278279\pi\)
\(44\) −4.98097e26 2.87577e26i −2.52390 1.45717i
\(45\) 2.19810e24 9.31085e24i 0.00777405 0.0329298i
\(46\) −5.42977e26 9.40464e26i −1.35100 2.34001i
\(47\) 3.59706e26 + 2.07676e26i 0.634427 + 0.366287i 0.782465 0.622695i \(-0.213962\pi\)
−0.148038 + 0.988982i \(0.547296\pi\)
\(48\) 9.79072e26 4.22839e26i 1.23298 0.532495i
\(49\) −9.70362e26 + 5.27408e26i −0.878610 + 0.477539i
\(50\) 2.68796e27i 1.76158i
\(51\) −5.50790e26 6.41337e25i −0.262944 0.0306170i
\(52\) 4.05634e27 + 7.02579e27i 1.41932 + 2.45834i
\(53\) −3.18270e27 + 1.83753e27i −0.821073 + 0.474047i −0.850786 0.525512i \(-0.823874\pi\)
0.0297132 + 0.999558i \(0.490541\pi\)
\(54\) −7.05465e27 + 5.93537e27i −1.34951 + 1.13540i
\(55\) 3.27617e26 0.0467266
\(56\) −1.77521e28 + 4.51256e27i −1.89776 + 0.482408i
\(57\) 1.16922e28 5.04959e27i 0.941668 0.406685i
\(58\) −2.01199e28 + 3.48487e28i −1.22681 + 2.12490i
\(59\) −5.31906e27 + 3.07096e27i −0.246719 + 0.142443i −0.618261 0.785973i \(-0.712163\pi\)
0.371542 + 0.928416i \(0.378829\pi\)
\(60\) −1.20216e27 + 1.61626e27i −0.0426131 + 0.0572917i
\(61\) −2.41488e27 + 4.18270e27i −0.0657081 + 0.113810i −0.897008 0.442015i \(-0.854264\pi\)
0.831300 + 0.555824i \(0.187597\pi\)
\(62\) 1.26780e29i 2.65940i
\(63\) 5.27969e28 3.16976e28i 0.857354 0.514728i
\(64\) 4.90513e28 0.619115
\(65\) −4.00201e27 2.31056e27i −0.0394153 0.0227564i
\(66\) −2.53329e29 1.88424e29i −1.95425 1.45356i
\(67\) −9.66103e28 1.67334e29i −0.585904 1.01482i −0.994762 0.102218i \(-0.967406\pi\)
0.408858 0.912598i \(-0.365927\pi\)
\(68\) 1.01112e29 + 5.83772e28i 0.483795 + 0.279319i
\(69\) −1.60359e29 3.71308e29i −0.607448 1.40653i
\(70\) 1.42017e28 1.38407e28i 0.0427338 0.0416475i
\(71\) 5.90453e29i 1.41596i 0.706231 + 0.707981i \(0.250394\pi\)
−0.706231 + 0.707981i \(0.749606\pi\)
\(72\) 9.78150e29 2.93773e29i 1.87536 0.563238i
\(73\) −4.37203e29 7.57257e29i −0.672228 1.16433i −0.977271 0.211995i \(-0.932004\pi\)
0.305042 0.952339i \(-0.401329\pi\)
\(74\) −9.74738e29 + 5.62765e29i −1.20554 + 0.696017i
\(75\) −1.15787e29 + 9.94394e29i −0.115526 + 0.992152i
\(76\) −2.68161e30 −2.16460
\(77\) 1.47187e30 + 1.51027e30i 0.963872 + 0.989013i
\(78\) 1.76565e30 + 4.08832e30i 0.940571 + 2.17787i
\(79\) −1.18663e30 + 2.05530e30i −0.515563 + 0.892981i 0.484274 + 0.874916i \(0.339084\pi\)
−0.999837 + 0.0180647i \(0.994250\pi\)
\(80\) 1.10772e29 6.39540e28i 0.0393540 0.0227210i
\(81\) −2.86549e30 + 1.89186e30i −0.834524 + 0.550972i
\(82\) 2.53772e30 4.39545e30i 0.607325 1.05192i
\(83\) 3.24407e30i 0.639501i 0.947502 + 0.319750i \(0.103599\pi\)
−0.947502 + 0.319750i \(0.896401\pi\)
\(84\) −1.28516e31 + 1.71953e30i −2.09166 + 0.279860i
\(85\) −6.65054e28 −0.00895683
\(86\) −1.75464e31 1.01304e31i −1.95980 1.13149i
\(87\) −8.94436e30 + 1.20254e31i −0.830312 + 1.11632i
\(88\) 1.74876e31 + 3.02894e31i 1.35209 + 2.34189i
\(89\) 9.01342e29 + 5.20390e29i 0.0581633 + 0.0335806i 0.528800 0.848747i \(-0.322642\pi\)
−0.470636 + 0.882327i \(0.655976\pi\)
\(90\) −7.58090e29 + 8.04940e29i −0.0409110 + 0.0434393i
\(91\) −7.32834e30 2.88292e31i −0.331393 1.30368i
\(92\) 8.51597e31i 3.23317i
\(93\) −5.46116e30 + 4.69014e31i −0.174405 + 1.49782i
\(94\) −2.40031e31 4.15746e31i −0.645984 1.11888i
\(95\) 1.32285e30 7.63746e29i 0.0300560 0.0173529i
\(96\) −2.12185e31 2.47066e30i −0.407731 0.0474760i
\(97\) −2.77862e31 −0.452358 −0.226179 0.974086i \(-0.572623\pi\)
−0.226179 + 0.974086i \(0.572623\pi\)
\(98\) 1.27607e32 + 3.28620e30i 1.76302 + 0.0454022i
\(99\) −8.56006e31 8.06184e31i −1.00534 0.946828i
\(100\) 1.05394e32 1.82548e32i 1.05394 1.82548i
\(101\) −1.50943e32 + 8.71472e31i −1.28728 + 0.743210i −0.978168 0.207817i \(-0.933364\pi\)
−0.309109 + 0.951026i \(0.600031\pi\)
\(102\) 5.14250e31 + 3.82495e31i 0.374603 + 0.278627i
\(103\) 4.58772e31 7.94616e31i 0.285891 0.495178i −0.686934 0.726720i \(-0.741044\pi\)
0.972825 + 0.231542i \(0.0743770\pi\)
\(104\) 4.93333e32i 2.63394i
\(105\) 5.85002e30 4.50851e30i 0.0267996 0.0206540i
\(106\) 4.24762e32 1.67206
\(107\) −1.70465e32 9.84181e31i −0.577424 0.333376i 0.182685 0.983172i \(-0.441521\pi\)
−0.760109 + 0.649796i \(0.774855\pi\)
\(108\) 7.11826e32 1.26479e32i 2.07775 0.369179i
\(109\) 7.43869e31 + 1.28842e32i 0.187358 + 0.324514i 0.944369 0.328889i \(-0.106674\pi\)
−0.757010 + 0.653403i \(0.773341\pi\)
\(110\) −3.27928e31 1.89329e31i −0.0713667 0.0412036i
\(111\) −3.84839e32 + 1.66203e32i −0.724623 + 0.312948i
\(112\) 7.92478e32 + 2.23317e32i 1.29270 + 0.364278i
\(113\) 4.04743e32i 0.572696i 0.958126 + 0.286348i \(0.0924413\pi\)
−0.958126 + 0.286348i \(0.907559\pi\)
\(114\) −1.46214e33 1.70251e32i −1.79685 0.209224i
\(115\) −2.42542e31 4.20095e31i −0.0259192 0.0448934i
\(116\) 2.73281e33 1.57779e33i 2.54262 1.46798i
\(117\) 4.77083e32 + 1.58850e33i 0.386919 + 1.28829i
\(118\) 7.09880e32 0.502427
\(119\) −2.98786e32 3.06580e32i −0.184761 0.189580i
\(120\) 1.12452e32 4.85656e31i 0.0608230 0.0262681i
\(121\) 9.57717e32 1.65881e33i 0.453598 0.785655i
\(122\) 4.83434e32 2.79111e32i 0.200715 0.115883i
\(123\) 1.12815e33 1.51675e33i 0.411040 0.552628i
\(124\) 4.97099e33 8.61000e33i 1.59109 2.75585i
\(125\) 2.40275e32i 0.0676313i
\(126\) −7.11649e33 + 1.21642e32i −1.76335 + 0.0301407i
\(127\) 7.45383e32 0.162750 0.0813748 0.996684i \(-0.474069\pi\)
0.0813748 + 0.996684i \(0.474069\pi\)
\(128\) −6.75560e33 3.90034e33i −1.30108 0.751179i
\(129\) −6.05478e33 4.50350e33i −1.02959 0.765799i
\(130\) 2.67054e32 + 4.62550e32i 0.0401333 + 0.0695129i
\(131\) 3.31571e33 + 1.91433e33i 0.440794 + 0.254493i 0.703934 0.710265i \(-0.251425\pi\)
−0.263140 + 0.964758i \(0.584758\pi\)
\(132\) 9.81628e33 + 2.27293e34i 1.15548 + 2.67549i
\(133\) 9.46386e33 + 2.66687e33i 0.987283 + 0.278212i
\(134\) 2.23323e34i 2.06660i
\(135\) −3.15124e32 + 2.65126e32i −0.0258905 + 0.0217828i
\(136\) −3.54993e33 6.14865e33i −0.259177 0.448908i
\(137\) 8.72502e33 5.03739e33i 0.566549 0.327097i −0.189221 0.981935i \(-0.560596\pi\)
0.755770 + 0.654837i \(0.227263\pi\)
\(138\) −5.40664e33 + 4.64331e34i −0.312508 + 2.68387i
\(139\) −1.41606e34 −0.729197 −0.364598 0.931165i \(-0.618794\pi\)
−0.364598 + 0.931165i \(0.618794\pi\)
\(140\) −1.50717e33 + 3.83119e32i −0.0692011 + 0.0175908i
\(141\) −7.08892e33 1.64142e34i −0.290452 0.672533i
\(142\) 3.41221e34 5.91012e34i 1.24860 2.16263i
\(143\) −4.91895e34 + 2.83996e34i −1.60878 + 0.928828i
\(144\) −4.46801e34 1.05481e34i −1.30712 0.308584i
\(145\) −8.98735e32 + 1.55665e33i −0.0235366 + 0.0407666i
\(146\) 1.01063e35i 2.37109i
\(147\) 4.70657e34 + 6.71249e33i 0.989982 + 0.141191i
\(148\) 8.82632e34 1.66568
\(149\) −2.72795e34 1.57498e34i −0.462228 0.266868i 0.250752 0.968051i \(-0.419322\pi\)
−0.712981 + 0.701184i \(0.752655\pi\)
\(150\) 6.90554e34 9.28423e34i 1.05133 1.41347i
\(151\) 3.30285e34 + 5.72071e34i 0.452125 + 0.783103i 0.998518 0.0544258i \(-0.0173328\pi\)
−0.546393 + 0.837529i \(0.684000\pi\)
\(152\) 1.41222e35 + 8.15345e34i 1.73942 + 1.00425i
\(153\) 1.73767e34 + 1.63653e34i 0.192710 + 0.181494i
\(154\) −6.00490e34 2.36229e35i −0.600032 2.36049i
\(155\) 5.66312e33i 0.0510210i
\(156\) 4.03905e34 3.46881e35i 0.328312 2.81959i
\(157\) −2.37943e34 4.12130e34i −0.174614 0.302440i 0.765414 0.643539i \(-0.222534\pi\)
−0.940028 + 0.341098i \(0.889201\pi\)
\(158\) 2.37551e35 1.37150e35i 1.57486 0.909248i
\(159\) 1.57138e35 + 1.82970e34i 0.941731 + 0.109655i
\(160\) −2.56203e33 −0.0138888
\(161\) 8.46916e34 3.00543e35i 0.415553 1.47466i
\(162\) 3.96151e35 2.37695e34i 1.76044 0.105628i
\(163\) −1.71711e35 + 2.97413e35i −0.691508 + 1.19773i 0.279835 + 0.960048i \(0.409720\pi\)
−0.971344 + 0.237680i \(0.923613\pi\)
\(164\) −3.44688e35 + 1.99006e35i −1.25871 + 0.726714i
\(165\) −1.13159e34 8.41669e33i −0.0374927 0.0278868i
\(166\) 1.87474e35 3.24715e35i 0.563913 0.976725i
\(167\) 5.27726e35i 1.44193i −0.692970 0.720966i \(-0.743698\pi\)
0.692970 0.720966i \(-0.256302\pi\)
\(168\) 7.29090e35 + 3.00199e35i 1.81064 + 0.745523i
\(169\) 3.58387e35 0.809403
\(170\) 6.65684e33 + 3.84333e33i 0.0136800 + 0.00789814i
\(171\) −5.33575e35 1.25966e35i −0.998292 0.235676i
\(172\) 7.94418e35 + 1.37597e36i 1.35392 + 2.34506i
\(173\) 2.44689e35 + 1.41271e35i 0.380082 + 0.219440i 0.677854 0.735197i \(-0.262910\pi\)
−0.297772 + 0.954637i \(0.596244\pi\)
\(174\) 1.59023e36 6.86782e35i 2.25253 0.972817i
\(175\) −5.53498e35 + 5.39427e35i −0.715331 + 0.697147i
\(176\) 1.57214e36i 1.85477i
\(177\) 2.62615e35 + 3.05787e34i 0.282975 + 0.0329494i
\(178\) −6.01464e34 1.04177e35i −0.0592229 0.102577i
\(179\) −7.91049e35 + 4.56713e35i −0.712123 + 0.411144i −0.811847 0.583871i \(-0.801537\pi\)
0.0997235 + 0.995015i \(0.468204\pi\)
\(180\) 8.30455e34 2.49415e34i 0.0683842 0.0205382i
\(181\) −7.49059e35 −0.564494 −0.282247 0.959342i \(-0.591080\pi\)
−0.282247 + 0.959342i \(0.591080\pi\)
\(182\) −9.32506e35 + 3.30916e36i −0.643442 + 2.28337i
\(183\) 1.90866e35 8.24308e34i 0.120646 0.0521041i
\(184\) 2.58928e36 4.48477e36i 1.50001 2.59810i
\(185\) −4.35405e34 + 2.51381e34i −0.0231284 + 0.0133532i
\(186\) 3.25705e36 4.37898e36i 1.58715 2.13386i
\(187\) −4.08716e35 + 7.07916e35i −0.182791 + 0.316604i
\(188\) 3.76461e36i 1.54595i
\(189\) −2.63794e36 2.61549e35i −0.995121 0.0986653i
\(190\) −1.76547e35 −0.0612071
\(191\) 2.40076e36 + 1.38608e36i 0.765271 + 0.441830i 0.831185 0.555996i \(-0.187663\pi\)
−0.0659138 + 0.997825i \(0.520996\pi\)
\(192\) −1.69423e36 1.26016e36i −0.496768 0.369492i
\(193\) −2.05023e36 3.55110e36i −0.553204 0.958178i −0.998041 0.0625661i \(-0.980072\pi\)
0.444837 0.895612i \(-0.353262\pi\)
\(194\) 2.78126e36 + 1.60576e36i 0.690897 + 0.398890i
\(195\) 7.88698e34 + 1.82621e35i 0.0180450 + 0.0417827i
\(196\) −8.53731e36 5.22659e36i −1.79980 1.10185i
\(197\) 2.23293e36i 0.433926i −0.976180 0.216963i \(-0.930385\pi\)
0.976180 0.216963i \(-0.0696151\pi\)
\(198\) 3.90926e36 + 1.30163e37i 0.700569 + 2.33263i
\(199\) −1.44318e36 2.49967e36i −0.238601 0.413269i 0.721712 0.692193i \(-0.243355\pi\)
−0.960313 + 0.278924i \(0.910022\pi\)
\(200\) −1.11007e37 + 6.40902e36i −1.69384 + 0.977939i
\(201\) −9.61987e35 + 8.26170e36i −0.135529 + 1.16394i
\(202\) 2.01449e37 2.62145
\(203\) −1.12137e37 + 2.85049e36i −1.34837 + 0.342754i
\(204\) −1.99268e36 4.61399e36i −0.221490 0.512854i
\(205\) 1.13357e35 1.96340e35i 0.0116516 0.0201812i
\(206\) −9.18413e36 + 5.30246e36i −0.873298 + 0.504199i
\(207\) −4.00030e36 + 1.69447e37i −0.352019 + 1.49111i
\(208\) −1.10877e37 + 1.92045e37i −0.903295 + 1.56455i
\(209\) 1.87747e37i 1.41655i
\(210\) −8.46102e35 + 1.13207e35i −0.0591445 + 0.00791344i
\(211\) 2.00880e37 1.30142 0.650709 0.759327i \(-0.274472\pi\)
0.650709 + 0.759327i \(0.274472\pi\)
\(212\) −2.88469e37 1.66548e37i −1.73271 1.00038i
\(213\) 1.51691e37 2.03943e37i 0.845056 1.13615i
\(214\) 1.13751e37 + 1.97023e37i 0.587943 + 1.01835i
\(215\) −7.83778e35 4.52514e35i −0.0375991 0.0217079i
\(216\) −4.13325e37 1.49823e37i −1.84091 0.667298i
\(217\) −2.61061e37 + 2.54425e37i −1.07991 + 1.05246i
\(218\) 1.71952e37i 0.660851i
\(219\) −4.35340e36 + 3.73877e37i −0.155497 + 1.33543i
\(220\) 1.48470e36 + 2.57158e36i 0.0493034 + 0.0853960i
\(221\) 9.98533e36 5.76503e36i 0.308380 0.178043i
\(222\) 4.81253e37 + 5.60367e36i 1.38269 + 0.161000i
\(223\) −2.87652e37 −0.769113 −0.384556 0.923101i \(-0.625646\pi\)
−0.384556 + 0.923101i \(0.625646\pi\)
\(224\) −1.15103e37 1.18106e37i −0.286497 0.293970i
\(225\) 2.95458e37 3.13718e37i 0.684819 0.727141i
\(226\) 2.33900e37 4.05126e37i 0.505004 0.874692i
\(227\) 5.62486e36 3.24751e36i 0.113161 0.0653337i −0.442351 0.896842i \(-0.645855\pi\)
0.555512 + 0.831508i \(0.312522\pi\)
\(228\) 9.26228e37 + 6.88921e37i 1.73684 + 1.29185i
\(229\) 4.07261e37 7.05397e37i 0.712041 1.23329i −0.252048 0.967715i \(-0.581104\pi\)
0.964090 0.265577i \(-0.0855625\pi\)
\(230\) 5.60658e36i 0.0914224i
\(231\) −1.20389e37 8.99780e37i −0.183145 1.36881i
\(232\) −1.91891e38 −2.72425
\(233\) −1.17381e38 6.77700e37i −1.55562 0.898137i −0.997667 0.0682639i \(-0.978254\pi\)
−0.557952 0.829873i \(-0.688413\pi\)
\(234\) 4.40457e37 1.86571e38i 0.545067 2.30883i
\(235\) −1.07219e36 1.85709e36i −0.0123933 0.0214658i
\(236\) −4.82101e37 2.78341e37i −0.520650 0.300597i
\(237\) 9.37882e37 4.05050e37i 0.946617 0.408823i
\(238\) 1.21898e37 + 4.79538e37i 0.115018 + 0.452472i
\(239\) 6.64046e37i 0.585911i 0.956126 + 0.292956i \(0.0946388\pi\)
−0.956126 + 0.292956i \(0.905361\pi\)
\(240\) −5.46907e36 6.36815e35i −0.0451371 0.00525574i
\(241\) 1.16072e38 + 2.01043e38i 0.896304 + 1.55244i 0.832182 + 0.554503i \(0.187091\pi\)
0.0641224 + 0.997942i \(0.479575\pi\)
\(242\) −1.91725e38 + 1.10692e38i −1.38558 + 0.799967i
\(243\) 1.47577e38 + 8.27119e36i 0.998433 + 0.0559587i
\(244\) −4.37753e37 −0.277327
\(245\) 5.70006e36 + 1.46791e35i 0.0338238 + 0.000871049i
\(246\) −2.00575e38 + 8.66236e37i −1.11510 + 0.481587i
\(247\) −1.32411e38 + 2.29342e38i −0.689878 + 1.19490i
\(248\) −5.23575e38 + 3.02286e38i −2.55713 + 1.47636i
\(249\) 8.33421e37 1.12050e38i 0.381659 0.513126i
\(250\) 1.38854e37 2.40502e37i 0.0596374 0.103295i
\(251\) 4.88537e38i 1.96842i 0.177001 + 0.984211i \(0.443360\pi\)
−0.177001 + 0.984211i \(0.556640\pi\)
\(252\) 4.88072e38 + 2.70774e38i 1.84533 + 1.02376i
\(253\) −5.96227e38 −2.11584
\(254\) −7.46089e37 4.30755e37i −0.248572 0.143513i
\(255\) 2.29710e36 + 1.70856e36i 0.00718682 + 0.00534550i
\(256\) 3.45463e38 + 5.98359e38i 1.01522 + 1.75842i
\(257\) −2.86263e38 1.65274e38i −0.790378 0.456325i 0.0497179 0.998763i \(-0.484168\pi\)
−0.840095 + 0.542439i \(0.817501\pi\)
\(258\) 3.45796e38 + 8.00681e38i 0.897232 + 2.07752i
\(259\) −3.11496e38 8.77781e37i −0.759725 0.214087i
\(260\) 4.18842e37i 0.0960455i
\(261\) 6.17877e38 1.85570e38i 1.33246 0.400184i
\(262\) −2.21257e38 3.83228e38i −0.448824 0.777386i
\(263\) −3.25684e38 + 1.88034e38i −0.621591 + 0.358876i −0.777488 0.628898i \(-0.783506\pi\)
0.155897 + 0.987773i \(0.450173\pi\)
\(264\) 1.74131e38 1.49546e39i 0.312761 2.68604i
\(265\) 1.89737e37 0.0320788
\(266\) −7.93165e38 8.13854e38i −1.26257 1.29551i
\(267\) −1.77632e37 4.11303e37i −0.0266282 0.0616569i
\(268\) 8.75642e38 1.51666e39i 1.23643 2.14156i
\(269\) 8.00682e38 4.62274e38i 1.06518 0.614983i 0.138321 0.990387i \(-0.455829\pi\)
0.926861 + 0.375404i \(0.122496\pi\)
\(270\) 4.68638e37 8.32685e36i 0.0587513 0.0104390i
\(271\) 8.21157e38 1.42229e39i 0.970326 1.68065i 0.275758 0.961227i \(-0.411071\pi\)
0.694568 0.719427i \(-0.255596\pi\)
\(272\) 3.19141e38i 0.355533i
\(273\) −4.87519e38 + 1.18403e39i −0.512141 + 1.24383i
\(274\) −1.16444e39 −1.15374
\(275\) 1.27807e39 + 7.37893e38i 1.19462 + 0.689716i
\(276\) 2.18780e39 2.94142e39i 1.92958 2.59425i
\(277\) 1.13908e39 + 1.97295e39i 0.948154 + 1.64225i 0.749309 + 0.662220i \(0.230386\pi\)
0.198845 + 0.980031i \(0.436281\pi\)
\(278\) 1.41740e39 + 8.18337e38i 1.11372 + 0.643007i
\(279\) 1.39355e39 1.47967e39i 1.03385 1.09774i
\(280\) 9.10208e37 + 2.56493e37i 0.0637694 + 0.0179699i
\(281\) 1.38183e39i 0.914434i −0.889355 0.457217i \(-0.848846\pi\)
0.889355 0.457217i \(-0.151154\pi\)
\(282\) −2.39008e38 + 2.05264e39i −0.149426 + 1.28330i
\(283\) −1.08899e38 1.88618e38i −0.0643339 0.111430i 0.832064 0.554679i \(-0.187159\pi\)
−0.896398 + 0.443249i \(0.853826\pi\)
\(284\) −4.63467e39 + 2.67583e39i −2.58777 + 1.49405i
\(285\) −6.53122e37 7.60491e36i −0.0344728 0.00401399i
\(286\) 6.56482e39 3.27617
\(287\) 1.41437e39 3.59531e38i 0.667504 0.169678i
\(288\) 6.69413e38 + 6.30452e38i 0.298823 + 0.281431i
\(289\) −1.10099e39 + 1.90697e39i −0.464961 + 0.805337i
\(290\) 1.79917e38 1.03875e38i 0.0718960 0.0415092i
\(291\) 9.59737e38 + 7.13845e38i 0.362965 + 0.269970i
\(292\) 3.96265e39 6.86351e39i 1.41860 2.45709i
\(293\) 3.89234e39i 1.31926i −0.751592 0.659628i \(-0.770714\pi\)
0.751592 0.659628i \(-0.229286\pi\)
\(294\) −4.32312e39 3.39180e39i −1.38752 1.08861i
\(295\) 3.17096e37 0.00963914
\(296\) −4.64821e39 2.68365e39i −1.33850 0.772784i
\(297\) 8.85512e38 + 4.98369e39i 0.241597 + 1.35972i
\(298\) 1.82036e39 + 3.15295e39i 0.470648 + 0.815187i
\(299\) 7.28321e39 + 4.20496e39i 1.78478 + 1.03044i
\(300\) −8.33007e39 + 3.59757e39i −1.93512 + 0.835736i
\(301\) −1.43523e39 5.64609e39i −0.316123 1.24361i
\(302\) 7.63484e39i 1.59474i
\(303\) 7.45245e39 + 8.67759e38i 1.47644 + 0.171916i
\(304\) −3.66500e39 6.34797e39i −0.688806 1.19305i
\(305\) 2.15945e37 1.24676e37i 0.00385075 0.00222323i
\(306\) −7.93568e38 2.64228e39i −0.134289 0.447132i
\(307\) 3.39958e39 0.546023 0.273011 0.962011i \(-0.411980\pi\)
0.273011 + 0.962011i \(0.411980\pi\)
\(308\) −5.18434e39 + 1.83975e40i −0.790463 + 2.80510i
\(309\) −3.62601e39 + 1.56599e39i −0.524921 + 0.226702i
\(310\) 3.27270e38 5.66849e38i 0.0449904 0.0779256i
\(311\) 9.31566e39 5.37840e39i 1.21632 0.702242i 0.252190 0.967678i \(-0.418849\pi\)
0.964129 + 0.265436i \(0.0855158\pi\)
\(312\) −1.26740e40 + 1.70397e40i −1.57196 + 2.11344i
\(313\) −5.34260e38 + 9.25365e38i −0.0629569 + 0.109045i −0.895786 0.444486i \(-0.853386\pi\)
0.832829 + 0.553530i \(0.186720\pi\)
\(314\) 5.50027e39i 0.615899i
\(315\) −3.17886e38 + 5.43360e36i −0.0338301 + 0.000578255i
\(316\) −2.15104e40 −2.17598
\(317\) 3.99439e39 + 2.30616e39i 0.384152 + 0.221790i 0.679623 0.733562i \(-0.262143\pi\)
−0.295471 + 0.955352i \(0.595477\pi\)
\(318\) −1.46713e40 1.09124e40i −1.34164 0.997898i
\(319\) 1.10465e40 + 1.91331e40i 0.960671 + 1.66393i
\(320\) −2.19315e38 1.26621e38i −0.0181413 0.0104739i
\(321\) 3.35945e39 + 7.77871e39i 0.264355 + 0.612107i
\(322\) −2.58455e40 + 2.51885e40i −1.93504 + 1.88585i
\(323\) 3.81121e39i 0.271533i
\(324\) −2.78358e40 1.39187e40i −1.88748 0.943794i
\(325\) −1.04082e40 1.80275e40i −0.671800 1.16359i
\(326\) 3.43748e40 1.98463e40i 2.11232 1.21955i
\(327\) 7.40699e38 6.36125e39i 0.0433389 0.372202i
\(328\) 2.42031e40 1.34862
\(329\) 3.74392e39 1.32859e40i 0.198697 0.705112i
\(330\) 6.46266e38 + 1.49641e39i 0.0326729 + 0.0756532i
\(331\) −4.58210e39 + 7.93643e39i −0.220707 + 0.382276i −0.955023 0.296532i \(-0.904170\pi\)
0.734316 + 0.678808i \(0.237503\pi\)
\(332\) −2.54639e40 + 1.47016e40i −1.16873 + 0.674767i
\(333\) 1.75622e40 + 4.14608e39i 0.768196 + 0.181355i
\(334\) −3.04971e40 + 5.28226e40i −1.27150 + 2.20230i
\(335\) 9.97562e38i 0.0396481i
\(336\) −2.16351e40 2.80726e40i −0.819842 1.06379i
\(337\) 1.17008e39 0.0422803 0.0211401 0.999777i \(-0.493270\pi\)
0.0211401 + 0.999777i \(0.493270\pi\)
\(338\) −3.58726e40 2.07111e40i −1.23622 0.713733i
\(339\) 1.03981e40 1.39798e40i 0.341789 0.459522i
\(340\) −3.01391e38 5.22024e38i −0.00945077 0.0163692i
\(341\) 6.02811e40 + 3.48033e40i 1.80348 + 1.04124i
\(342\) 4.61285e40 + 4.34437e40i 1.31690 + 1.24025i
\(343\) 2.49318e40 + 2.69359e40i 0.679278 + 0.733881i
\(344\) 9.66173e40i 2.51258i
\(345\) −2.41509e38 + 2.07412e39i −0.00599553 + 0.0514905i
\(346\) −1.63281e40 2.82810e40i −0.387006 0.670313i
\(347\) 8.68219e39 5.01266e39i 0.196498 0.113448i −0.398523 0.917158i \(-0.630477\pi\)
0.595021 + 0.803710i \(0.297144\pi\)
\(348\) −1.34925e41 1.57106e40i −2.91626 0.339567i
\(349\) −8.54791e40 −1.76463 −0.882314 0.470662i \(-0.844015\pi\)
−0.882314 + 0.470662i \(0.844015\pi\)
\(350\) 8.65756e40 2.20074e40i 1.70729 0.433989i
\(351\) 2.43311e40 6.71235e40i 0.458404 1.26462i
\(352\) −1.57452e40 + 2.72715e40i −0.283443 + 0.490938i
\(353\) 5.23955e40 3.02506e40i 0.901361 0.520401i 0.0237197 0.999719i \(-0.492449\pi\)
0.877642 + 0.479317i \(0.159116\pi\)
\(354\) −2.45193e40 1.82372e40i −0.403139 0.299852i
\(355\) 1.52420e39 2.63999e39i 0.0239545 0.0414905i
\(356\) 9.43326e39i 0.141730i
\(357\) 2.44387e39 + 1.82653e40i 0.0351064 + 0.262382i
\(358\) 1.05573e41 1.45019
\(359\) −2.97437e40 1.71726e40i −0.390737 0.225592i 0.291743 0.956497i \(-0.405765\pi\)
−0.682479 + 0.730905i \(0.739098\pi\)
\(360\) −5.13178e39 1.21151e39i −0.0644805 0.0152225i
\(361\) −2.16859e39 3.75610e39i −0.0260652 0.0451463i
\(362\) 7.49769e40 + 4.32879e40i 0.862165 + 0.497771i
\(363\) −7.56955e40 + 3.26912e40i −0.832845 + 0.359687i
\(364\) 1.93080e41 1.88172e41i 2.03290 1.98122i
\(365\) 4.51439e39i 0.0454897i
\(366\) −2.38684e40 2.77922e39i −0.230210 0.0268056i
\(367\) 7.98072e40 + 1.38230e41i 0.736860 + 1.27628i 0.953903 + 0.300117i \(0.0970256\pi\)
−0.217043 + 0.976162i \(0.569641\pi\)
\(368\) −2.01592e41 + 1.16389e41i −1.78200 + 1.02884i
\(369\) −7.79326e40 + 2.34059e40i −0.659625 + 0.198108i
\(370\) 5.81090e39 0.0470995
\(371\) 8.52423e40 + 8.74658e40i 0.661718 + 0.678978i
\(372\) −3.92894e41 + 1.69682e41i −2.92138 + 1.26168i
\(373\) −5.97110e40 + 1.03423e41i −0.425317 + 0.736671i −0.996450 0.0841864i \(-0.973171\pi\)
0.571133 + 0.820858i \(0.306504\pi\)
\(374\) 8.18206e40 4.72391e40i 0.558363 0.322371i
\(375\) 6.17280e39 8.29909e39i 0.0403628 0.0542663i
\(376\) 1.14463e41 1.98256e41i 0.717233 1.24228i
\(377\) 3.11628e41i 1.87144i
\(378\) 2.48929e41 + 1.78625e41i 1.43287 + 1.02819i
\(379\) 3.23238e41 1.78359 0.891795 0.452441i \(-0.149447\pi\)
0.891795 + 0.452441i \(0.149447\pi\)
\(380\) 1.19898e40 + 6.92232e39i 0.0634271 + 0.0366196i
\(381\) −2.57456e40 1.91493e40i −0.130588 0.0971302i
\(382\) −1.60203e41 2.77479e41i −0.779212 1.34963i
\(383\) −1.28547e41 7.42168e40i −0.599629 0.346196i 0.169267 0.985570i \(-0.445860\pi\)
−0.768896 + 0.639374i \(0.779193\pi\)
\(384\) 1.33136e41 + 3.08273e41i 0.595658 + 1.37923i
\(385\) −2.68233e39 1.05521e40i −0.0115117 0.0452863i
\(386\) 4.73929e41i 1.95126i
\(387\) 9.34348e40 + 3.11102e41i 0.369091 + 1.22893i
\(388\) −1.25922e41 2.18104e41i −0.477304 0.826715i
\(389\) −1.83364e41 + 1.05865e41i −0.666992 + 0.385088i −0.794936 0.606693i \(-0.792496\pi\)
0.127944 + 0.991781i \(0.459162\pi\)
\(390\) 2.65916e39 2.28373e40i 0.00928346 0.0797279i
\(391\) 1.21032e41 0.405577
\(392\) 2.90687e41 + 5.34826e41i 0.935079 + 1.72042i
\(393\) −6.53445e40 1.51303e41i −0.201803 0.467270i
\(394\) −1.29041e41 + 2.23505e41i −0.382637 + 0.662746i
\(395\) 1.06111e40 6.12634e39i 0.0302140 0.0174441i
\(396\) 2.44875e41 1.03726e42i 0.669610 2.83638i
\(397\) 7.48102e40 1.29575e41i 0.196477 0.340309i −0.750906 0.660409i \(-0.770383\pi\)
0.947384 + 0.320100i \(0.103716\pi\)
\(398\) 3.33604e41i 0.841594i
\(399\) −2.58368e41 3.35246e41i −0.626142 0.812451i
\(400\) 5.76175e41 1.34151
\(401\) 1.46019e41 + 8.43041e40i 0.326662 + 0.188599i 0.654358 0.756185i \(-0.272939\pi\)
−0.327696 + 0.944783i \(0.606272\pi\)
\(402\) 5.73731e41 7.71360e41i 1.23336 1.65821i
\(403\) −4.90909e41 8.50279e41i −1.01419 1.75663i
\(404\) −1.36810e42 7.89871e41i −2.71653 1.56839i
\(405\) 1.76956e40 1.06176e39i 0.0337743 0.00202650i
\(406\) 1.28716e42 + 3.62715e41i 2.36165 + 0.665501i
\(407\) 6.17956e41i 1.09005i
\(408\) −3.53480e40 + 3.03574e41i −0.0599518 + 0.514876i
\(409\) 1.43860e41 + 2.49173e41i 0.234621 + 0.406376i 0.959163 0.282855i \(-0.0912816\pi\)
−0.724541 + 0.689232i \(0.757948\pi\)
\(410\) −2.26929e40 + 1.31017e40i −0.0355917 + 0.0205488i
\(411\) −4.30776e41 5.01593e40i −0.649804 0.0756627i
\(412\) 8.31629e41 1.20663
\(413\) 1.42460e41 + 1.46176e41i 0.198835 + 0.204022i
\(414\) 1.37964e42 1.46490e42i 1.85251 1.96699i
\(415\) 8.37427e39 1.45047e40i 0.0108188 0.0187386i
\(416\) 3.84672e41 2.22090e41i 0.478186 0.276081i
\(417\) 4.89107e41 + 3.63794e41i 0.585096 + 0.435190i
\(418\) −1.08499e42 + 1.87925e42i −1.24912 + 2.16353i
\(419\) 8.73904e41i 0.968366i −0.874967 0.484183i \(-0.839117\pi\)
0.874967 0.484183i \(-0.160883\pi\)
\(420\) 6.19001e40 + 2.54871e40i 0.0660242 + 0.0271851i
\(421\) −8.64268e41 −0.887432 −0.443716 0.896168i \(-0.646340\pi\)
−0.443716 + 0.896168i \(0.646340\pi\)
\(422\) −2.01070e42 1.16088e42i −1.98769 1.14759i
\(423\) −1.76839e41 + 7.49065e41i −0.168319 + 0.712974i
\(424\) 1.01278e42 + 1.75418e42i 0.928240 + 1.60776i
\(425\) −2.59444e41 1.49790e41i −0.228992 0.132209i
\(426\) −2.69692e42 + 1.16474e42i −2.29253 + 0.990092i
\(427\) 1.54490e41 + 4.35347e40i 0.126490 + 0.0356443i
\(428\) 1.78405e42i 1.40704i
\(429\) 2.42861e42 + 2.82786e41i 1.84519 + 0.214853i
\(430\) 5.23014e40 + 9.05886e40i 0.0382840 + 0.0663099i
\(431\) −2.07834e42 + 1.19993e42i −1.46582 + 0.846290i −0.999270 0.0382066i \(-0.987836\pi\)
−0.466547 + 0.884496i \(0.654502\pi\)
\(432\) 1.27227e42 + 1.51219e42i 0.864646 + 1.02770i
\(433\) 5.41887e41 0.354897 0.177448 0.984130i \(-0.443216\pi\)
0.177448 + 0.984130i \(0.443216\pi\)
\(434\) 4.08340e42 1.03799e42i 2.57743 0.655178i
\(435\) 7.10337e40 3.06778e40i 0.0432152 0.0186637i
\(436\) −6.74217e41 + 1.16778e42i −0.395381 + 0.684820i
\(437\) −2.40743e42 + 1.38993e42i −1.36098 + 0.785761i
\(438\) 2.59638e42 3.49073e42i 1.41508 1.90252i
\(439\) −1.71147e41 + 2.96436e41i −0.0899369 + 0.155775i −0.907484 0.420086i \(-0.862000\pi\)
0.817547 + 0.575861i \(0.195333\pi\)
\(440\) 1.80570e41i 0.0914962i
\(441\) −1.45320e42 1.44100e42i −0.710083 0.704118i
\(442\) −1.33264e42 −0.627995
\(443\) −1.73273e42 1.00039e42i −0.787538 0.454685i 0.0515573 0.998670i \(-0.483582\pi\)
−0.839095 + 0.543985i \(0.816915\pi\)
\(444\) −3.04861e42 2.26753e42i −1.33652 0.994091i
\(445\) −2.68667e39 4.65346e39i −0.00113620 0.00196796i
\(446\) 2.87925e42 + 1.66234e42i 1.17469 + 0.678205i
\(447\) 5.37613e41 + 1.24483e42i 0.211616 + 0.489992i
\(448\) −4.01601e41 1.57987e42i −0.152527 0.600032i
\(449\) 2.46196e42i 0.902276i −0.892454 0.451138i \(-0.851018\pi\)
0.892454 0.451138i \(-0.148982\pi\)
\(450\) −4.77035e42 + 1.43270e42i −1.68714 + 0.506706i
\(451\) −1.39329e42 2.41326e42i −0.475574 0.823719i
\(452\) −3.17697e42 + 1.83422e42i −1.04664 + 0.604278i
\(453\) 3.28878e41 2.82446e42i 0.104584 0.898181i
\(454\) −7.50691e41 −0.230445
\(455\) −4.16540e40 + 1.47817e41i −0.0123445 + 0.0438067i
\(456\) −2.78314e42 6.44428e42i −0.796337 1.84390i
\(457\) 3.12318e41 5.40951e41i 0.0862856 0.149451i −0.819653 0.572861i \(-0.805834\pi\)
0.905938 + 0.423410i \(0.139167\pi\)
\(458\) −8.15294e42 + 4.70710e42i −2.17504 + 1.25576i
\(459\) −1.79756e41 1.01168e42i −0.0463107 0.260638i
\(460\) 2.19832e41 3.80760e41i 0.0546972 0.0947383i
\(461\) 5.00114e42i 1.20186i 0.799302 + 0.600930i \(0.205203\pi\)
−0.799302 + 0.600930i \(0.794797\pi\)
\(462\) −3.99477e42 + 9.70205e42i −0.927300 + 2.25212i
\(463\) 5.34930e42 1.19950 0.599752 0.800186i \(-0.295266\pi\)
0.599752 + 0.800186i \(0.295266\pi\)
\(464\) 7.46994e42 + 4.31277e42i 1.61819 + 0.934263i
\(465\) 1.45489e41 1.95604e41i 0.0304497 0.0409384i
\(466\) 7.83282e42 + 1.35668e43i 1.58396 + 2.74349i
\(467\) 4.45803e42 + 2.57384e42i 0.871109 + 0.502935i 0.867717 0.497059i \(-0.165587\pi\)
0.00339246 + 0.999994i \(0.498920\pi\)
\(468\) −1.03067e43 + 1.09436e43i −1.94619 + 2.06646i
\(469\) −4.59861e42 + 4.48171e42i −0.839192 + 0.817859i
\(470\) 2.47847e41i 0.0437137i
\(471\) −2.36929e41 + 2.03479e42i −0.0403910 + 0.346884i
\(472\) 1.69259e42 + 2.93166e42i 0.278921 + 0.483105i
\(473\) −9.63357e42 + 5.56194e42i −1.53465 + 0.886030i
\(474\) −1.17285e43 1.36566e42i −1.80629 0.210324i
\(475\) 6.88074e42 1.02456
\(476\) 1.05241e42 3.73464e42i 0.151521 0.537698i
\(477\) −4.95749e42 4.66895e42i −0.690188 0.650017i
\(478\) 3.83750e42 6.64675e42i 0.516657 0.894877i
\(479\) 7.42235e42 4.28530e42i 0.966437 0.557973i 0.0682887 0.997666i \(-0.478246\pi\)
0.898148 + 0.439693i \(0.144913\pi\)
\(480\) 8.84926e40 + 6.58201e40i 0.0111442 + 0.00828894i
\(481\) 4.35821e42 7.54864e42i 0.530868 0.919491i
\(482\) 2.68311e43i 3.16145i
\(483\) −1.06464e43 + 8.20499e42i −1.21352 + 0.935241i
\(484\) 1.73608e43 1.91445
\(485\) 1.24236e41 + 7.17276e40i 0.0132550 + 0.00765276i
\(486\) −1.42937e43 9.35635e42i −1.47559 0.965887i
\(487\) −2.17214e42 3.76226e42i −0.216983 0.375825i 0.736901 0.676000i \(-0.236288\pi\)
−0.953884 + 0.300175i \(0.902955\pi\)
\(488\) 2.30534e42 + 1.33099e42i 0.222853 + 0.128664i
\(489\) 1.35716e43 5.86128e42i 1.26967 0.548341i
\(490\) −5.62063e41 3.44098e41i −0.0508918 0.0311562i
\(491\) 1.59892e43i 1.40128i −0.713516 0.700639i \(-0.752899\pi\)
0.713516 0.700639i \(-0.247101\pi\)
\(492\) 1.70181e43 + 1.98158e42i 1.44367 + 0.168101i
\(493\) −2.24241e42 3.88397e42i −0.184147 0.318952i
\(494\) 2.65073e43 1.53040e43i 2.10734 1.21667i
\(495\) 1.74622e41 + 5.81425e41i 0.0134405 + 0.0447518i
\(496\) 2.71757e43 2.02523
\(497\) 1.90177e43 4.83426e42i 1.37232 0.348841i
\(498\) −1.48175e43 + 6.39933e42i −1.03539 + 0.447162i
\(499\) 1.55369e42 2.69107e42i 0.105137 0.182103i −0.808657 0.588280i \(-0.799805\pi\)
0.913794 + 0.406177i \(0.133139\pi\)
\(500\) −1.88600e42 + 1.08888e42i −0.123601 + 0.0713610i
\(501\) −1.35576e43 + 1.82277e43i −0.860556 + 1.15698i
\(502\) 2.82324e43 4.89000e43i 1.73576 3.00642i
\(503\) 2.68245e43i 1.59751i 0.601656 + 0.798755i \(0.294508\pi\)
−0.601656 + 0.798755i \(0.705492\pi\)
\(504\) −1.74705e43 2.90996e43i −1.00790 1.67880i
\(505\) 8.99849e41 0.0502930
\(506\) 5.96792e43 + 3.44558e43i 3.23158 + 1.86575i
\(507\) −1.23787e43 9.20717e42i −0.649452 0.483058i
\(508\) 3.37794e42 + 5.85077e42i 0.171725 + 0.297436i
\(509\) −2.19732e43 1.26862e43i −1.08245 0.624954i −0.150895 0.988550i \(-0.548216\pi\)
−0.931557 + 0.363596i \(0.881549\pi\)
\(510\) −1.31190e41 3.03767e41i −0.00626294 0.0145017i
\(511\) −2.08107e43 + 2.02816e43i −0.962834 + 0.938358i
\(512\) 4.63531e43i 2.07855i
\(513\) 1.51935e43 + 1.80587e43i 0.660361 + 0.784891i
\(514\) 1.91023e43 + 3.30861e43i 0.804776 + 1.39391i
\(515\) −4.10245e41 + 2.36855e41i −0.0167544 + 0.00967314i
\(516\) 7.91033e42 6.79352e43i 0.313184 2.68967i
\(517\) −2.63571e43 −1.01169
\(518\) 2.61064e43 + 2.67874e43i 0.971564 + 0.996906i
\(519\) −4.82223e42 1.11657e43i −0.174008 0.402911i
\(520\) −1.27349e42 + 2.20575e42i −0.0445598 + 0.0771798i
\(521\) −1.64654e43 + 9.50629e42i −0.558686 + 0.322558i −0.752618 0.658457i \(-0.771209\pi\)
0.193932 + 0.981015i \(0.437876\pi\)
\(522\) −7.25703e43 1.71324e43i −2.38798 0.563753i
\(523\) −8.43922e42 + 1.46172e43i −0.269324 + 0.466483i −0.968687 0.248283i \(-0.920134\pi\)
0.699363 + 0.714766i \(0.253467\pi\)
\(524\) 3.47016e43i 1.07411i
\(525\) 3.29760e43 4.41215e42i 0.990033 0.132465i
\(526\) 4.34657e43 1.26583
\(527\) −1.22369e43 7.06497e42i −0.345701 0.199591i
\(528\) −4.03893e43 + 5.43019e43i −1.10694 + 1.48824i
\(529\) 2.53355e43 + 4.38824e43i 0.673657 + 1.16681i
\(530\) −1.89917e42 1.09648e42i −0.0489947 0.0282871i
\(531\) −8.28515e42 7.80293e42i −0.207390 0.195319i
\(532\) 2.19553e43 + 8.63709e43i 0.533278 + 2.09788i
\(533\) 3.93055e43i 0.926442i
\(534\) −5.98901e41 + 5.14346e42i −0.0136992 + 0.117651i
\(535\) 5.08114e41 + 8.80079e41i 0.0112798 + 0.0195371i
\(536\) −9.22280e43 + 5.32479e43i −1.98713 + 1.14727i
\(537\) 3.90561e43 + 4.54766e42i 0.816771 + 0.0951042i
\(538\) −1.06859e44 −2.16917
\(539\) 3.65928e43 5.97722e43i 0.721067 1.17782i
\(540\) −3.50916e42 1.27201e42i −0.0671278 0.0243327i
\(541\) 4.52296e42 7.83399e42i 0.0839975 0.145488i −0.820966 0.570977i \(-0.806565\pi\)
0.904964 + 0.425489i \(0.139898\pi\)
\(542\) −1.64387e44 + 9.49089e43i −2.96401 + 1.71127i
\(543\) 2.58725e43 + 1.92438e43i 0.452941 + 0.336894i
\(544\) 3.19624e42 5.53604e42i 0.0543321 0.0941059i
\(545\) 7.68091e41i 0.0126785i
\(546\) 1.17223e44 9.03418e43i 1.87902 1.44813i
\(547\) 2.95538e42 0.0460061 0.0230031 0.999735i \(-0.492677\pi\)
0.0230031 + 0.999735i \(0.492677\pi\)
\(548\) 7.90805e43 + 4.56571e43i 1.19558 + 0.690271i
\(549\) −8.71022e42 2.05630e42i −0.127900 0.0301946i
\(550\) −8.52853e43 1.47718e44i −1.21638 2.10684i
\(551\) 8.92068e43 + 5.15036e43i 1.23587 + 0.713530i
\(552\) −2.04650e44 + 8.83839e43i −2.75415 + 1.18945i
\(553\) 7.59138e43 + 2.13922e43i 0.992473 + 0.279674i
\(554\) 2.63309e44i 3.34433i
\(555\) 2.14970e42 + 2.50310e41i 0.0265272 + 0.00308881i
\(556\) −6.41733e43 1.11151e44i −0.769410 1.33266i
\(557\) 1.23290e44 7.11814e43i 1.43630 0.829246i 0.438707 0.898630i \(-0.355437\pi\)
0.997590 + 0.0693839i \(0.0221033\pi\)
\(558\) −2.24997e44 + 6.75745e43i −2.54701 + 0.764955i
\(559\) 1.56905e44 1.72603
\(560\) −2.96680e42 3.04418e42i −0.0317161 0.0325434i
\(561\) 3.23038e43 1.39513e43i 0.335620 0.144947i
\(562\) −7.98554e43 + 1.38314e44i −0.806349 + 1.39664i
\(563\) −7.86762e43 + 4.54237e43i −0.772163 + 0.445809i −0.833646 0.552300i \(-0.813750\pi\)
0.0614827 + 0.998108i \(0.480417\pi\)
\(564\) 9.67150e43 1.30030e44i 0.922631 1.24044i
\(565\) 1.04481e42 1.80966e42i 0.00968858 0.0167811i
\(566\) 2.51729e43i 0.226919i
\(567\) 8.43951e43 + 7.68041e43i 0.739585 + 0.673063i
\(568\) 3.25435e44 2.77262
\(569\) 5.24605e43 + 3.02881e43i 0.434546 + 0.250885i 0.701282 0.712884i \(-0.252612\pi\)
−0.266735 + 0.963770i \(0.585945\pi\)
\(570\) 6.09793e42 + 4.53559e42i 0.0491116 + 0.0365288i
\(571\) −2.58028e43 4.46918e43i −0.202064 0.349986i 0.747129 0.664679i \(-0.231432\pi\)
−0.949193 + 0.314693i \(0.898098\pi\)
\(572\) −4.45836e44 2.57404e44i −3.39499 1.96010i
\(573\) −4.73132e43 1.09552e44i −0.350355 0.811237i
\(574\) −1.62349e44 4.57491e43i −1.16912 0.329452i
\(575\) 2.18511e44i 1.53034i
\(576\) 2.61447e43 + 8.70517e43i 0.178083 + 0.592949i
\(577\) 1.31868e44 + 2.28403e44i 0.873630 + 1.51317i 0.858215 + 0.513291i \(0.171574\pi\)
0.0154153 + 0.999881i \(0.495093\pi\)
\(578\) 2.20406e44 1.27252e44i 1.42029 0.820007i
\(579\) −2.04149e43 + 1.75327e44i −0.127965 + 1.09898i
\(580\) −1.62916e43 −0.0993382
\(581\) 1.04487e44 2.65604e43i 0.619790 0.157549i
\(582\) −5.48118e43 1.26915e44i −0.316305 0.732395i
\(583\) 1.16605e44 2.01965e44i 0.654665 1.13391i
\(584\) −4.17371e44 + 2.40969e44i −2.27990 + 1.31630i
\(585\) 1.96747e42 8.33394e42i 0.0104572 0.0442952i
\(586\) −2.24938e44 + 3.89603e44i −1.16332 + 2.01493i
\(587\) 3.93556e44i 1.98060i 0.138940 + 0.990301i \(0.455630\pi\)
−0.138940 + 0.990301i \(0.544370\pi\)
\(588\) 1.60605e44 + 3.99855e44i 0.786541 + 1.95824i
\(589\) 3.24535e44 1.54674
\(590\) −3.17396e42 1.83249e42i −0.0147221 0.00849980i
\(591\) −5.73654e43 + 7.71255e43i −0.258970 + 0.348176i
\(592\) 1.20631e44 + 2.08939e44i 0.530043 + 0.918061i
\(593\) −1.93832e44 1.11909e44i −0.828993 0.478619i 0.0245148 0.999699i \(-0.492196\pi\)
−0.853508 + 0.521080i \(0.825529\pi\)
\(594\) 1.99371e44 5.50015e44i 0.830002 2.28977i
\(595\) 5.44504e41 + 2.14205e42i 0.00220663 + 0.00868075i
\(596\) 2.85502e44i 1.12634i
\(597\) −1.43703e43 + 1.23415e44i −0.0551922 + 0.473999i
\(598\) −4.86007e44 8.41790e44i −1.81729 3.14764i
\(599\) −2.09780e44 + 1.21117e44i −0.763722 + 0.440935i −0.830631 0.556824i \(-0.812020\pi\)
0.0669083 + 0.997759i \(0.478687\pi\)
\(600\) 5.48072e44 + 6.38171e43i 1.94275 + 0.226213i
\(601\) −1.55450e44 −0.536538 −0.268269 0.963344i \(-0.586452\pi\)
−0.268269 + 0.963344i \(0.586452\pi\)
\(602\) −1.82628e44 + 6.48086e44i −0.613794 + 2.17815i
\(603\) 2.45475e44 2.60645e44i 0.803397 0.853047i
\(604\) −2.99359e44 + 5.18505e44i −0.954116 + 1.65258i
\(605\) −8.56415e42 + 4.94451e42i −0.0265826 + 0.0153475i
\(606\) −6.95804e44 5.17533e44i −2.10341 1.56450i
\(607\) −1.00198e44 + 1.73549e44i −0.295014 + 0.510979i −0.974988 0.222257i \(-0.928658\pi\)
0.679974 + 0.733236i \(0.261991\pi\)
\(608\) 1.46822e44i 0.421050i
\(609\) 4.60551e44 + 1.89629e44i 1.28647 + 0.529699i
\(610\) −2.88199e42 −0.00784180
\(611\) 3.21965e44 + 1.85887e44i 0.853393 + 0.492707i
\(612\) −4.97090e43 + 2.10560e44i −0.128355 + 0.543693i
\(613\) −1.88249e44 3.26057e44i −0.473549 0.820211i 0.525992 0.850489i \(-0.323694\pi\)
−0.999542 + 0.0302779i \(0.990361\pi\)
\(614\) −3.40280e44 1.96461e44i −0.833954 0.481484i
\(615\) −8.95945e42 + 3.86938e42i −0.0213934 + 0.00923932i
\(616\) 8.32401e44 8.11241e44i 1.93661 1.88738i
\(617\) 6.19385e44i 1.40410i 0.712127 + 0.702050i \(0.247732\pi\)
−0.712127 + 0.702050i \(0.752268\pi\)
\(618\) 4.53443e44 + 5.27987e43i 1.00163 + 0.116629i
\(619\) 1.45537e44 + 2.52078e44i 0.313273 + 0.542606i 0.979069 0.203529i \(-0.0652410\pi\)
−0.665796 + 0.746134i \(0.731908\pi\)
\(620\) −4.44518e43 + 2.56643e43i −0.0932443 + 0.0538346i
\(621\) 5.73490e44 4.82501e44i 1.17236 0.986353i
\(622\) −1.24327e45 −2.47695
\(623\) 9.38142e42 3.32916e43i 0.0182163 0.0646436i
\(624\) 8.76346e44 3.78474e44i 1.65853 0.716280i
\(625\) −2.70120e44 + 4.67862e44i −0.498283 + 0.863052i
\(626\) 1.06953e44 6.17495e43i 0.192311 0.111031i
\(627\) −4.82333e44 + 6.48479e44i −0.845408 + 1.13662i
\(628\) 2.15663e44 3.73540e44i 0.368487 0.638238i
\(629\) 1.25443e44i 0.208947i
\(630\) 3.21327e43 + 1.78267e43i 0.0521794 + 0.0289482i
\(631\) 6.70565e44 1.06163 0.530813 0.847489i \(-0.321887\pi\)
0.530813 + 0.847489i \(0.321887\pi\)
\(632\) 1.13280e45 + 6.54024e44i 1.74856 + 1.00953i
\(633\) −6.93839e44 5.16072e44i −1.04424 0.776695i
\(634\) −2.66545e44 4.61670e44i −0.391149 0.677491i
\(635\) −3.33270e42 1.92414e42i −0.00476889 0.00275332i
\(636\) 5.68501e44 + 1.31635e45i 0.793264 + 1.83678i
\(637\) −8.68550e44 + 4.72071e44i −1.18185 + 0.642357i
\(638\) 2.55350e45i 3.38849i
\(639\) −1.04788e45 + 3.14715e44i −1.35612 + 0.407290i
\(640\) 2.01367e43 + 3.48779e43i 0.0254161 + 0.0440221i
\(641\) −6.97079e44 + 4.02459e44i −0.858131 + 0.495442i −0.863386 0.504544i \(-0.831661\pi\)
0.00525512 + 0.999986i \(0.498327\pi\)
\(642\) 1.13266e44 9.72750e44i 0.136001 1.16799i
\(643\) 1.50923e45 1.76758 0.883792 0.467880i \(-0.154982\pi\)
0.883792 + 0.467880i \(0.154982\pi\)
\(644\) 2.74287e45 6.97234e44i 3.13352 0.796534i
\(645\) 1.54463e43 + 3.57656e43i 0.0172135 + 0.0398575i
\(646\) 2.20249e44 3.81482e44i 0.239438 0.414719i
\(647\) −1.15097e44 + 6.64515e43i −0.122067 + 0.0704752i −0.559790 0.828634i \(-0.689118\pi\)
0.437723 + 0.899110i \(0.355785\pi\)
\(648\) 1.04272e45 + 1.57935e45i 1.07887 + 1.63410i
\(649\) 1.94874e44 3.37532e44i 0.196716 0.340722i
\(650\) 2.40594e45i 2.36958i
\(651\) 1.55534e45 2.08102e44i 1.49462 0.199977i
\(652\) −3.11266e45 −2.91857
\(653\) −6.91843e44 3.99436e44i −0.632990 0.365457i 0.148919 0.988849i \(-0.452421\pi\)
−0.781909 + 0.623393i \(0.785754\pi\)
\(654\) −4.41755e44 + 5.93923e44i −0.394400 + 0.530256i
\(655\) −9.88331e42 1.71184e43i −0.00861076 0.0149143i
\(656\) −9.42181e44 5.43969e44i −0.801075 0.462501i
\(657\) 1.11088e45 1.17953e45i 0.921765 0.978730i
\(658\) −1.14254e45 + 1.11349e45i −0.925244 + 0.901723i
\(659\) 3.29801e44i 0.260667i 0.991470 + 0.130333i \(0.0416047\pi\)
−0.991470 + 0.130333i \(0.958395\pi\)
\(660\) 1.47838e43 1.26965e44i 0.0114047 0.0979451i
\(661\) −9.02055e43 1.56241e44i −0.0679219 0.117644i 0.830064 0.557667i \(-0.188304\pi\)
−0.897986 + 0.440023i \(0.854970\pi\)
\(662\) 9.17289e44 5.29597e44i 0.674184 0.389240i
\(663\) −4.93001e44 5.74047e43i −0.353697 0.0411842i
\(664\) 1.78801e45 1.25222
\(665\) −3.54298e43 3.63540e43i −0.0242227 0.0248545i
\(666\) −1.51829e45 1.42992e45i −1.01337 0.954385i
\(667\) 1.63560e45 2.83294e45i 1.06577 1.84596i
\(668\) 4.14230e45 2.39156e45i 2.63523 1.52145i
\(669\) 9.93552e44 + 7.38996e44i 0.617124 + 0.459012i
\(670\) 5.76488e43 9.98507e43i 0.0349618 0.0605556i
\(671\) 3.06483e44i 0.181487i
\(672\) 9.41467e43 + 7.03645e44i 0.0544373 + 0.406860i
\(673\) 1.95386e44 0.110319 0.0551597 0.998478i \(-0.482433\pi\)
0.0551597 + 0.998478i \(0.482433\pi\)
\(674\) −1.17119e44 6.76187e43i −0.0645757 0.0372828i
\(675\) −1.82647e45 + 3.24531e44i −0.983452 + 0.174742i
\(676\) 1.62415e45 + 2.81310e45i 0.854039 + 1.47924i
\(677\) −1.15427e45 6.66419e44i −0.592774 0.342238i 0.173419 0.984848i \(-0.444518\pi\)
−0.766194 + 0.642610i \(0.777852\pi\)
\(678\) −1.84868e45 + 7.98405e44i −0.927230 + 0.400450i
\(679\) 2.27496e44 + 8.94956e44i 0.111444 + 0.438415i
\(680\) 3.66552e43i 0.0175385i
\(681\) −2.77713e44 3.23367e43i −0.129790 0.0151127i
\(682\) −4.02255e45 6.96725e45i −1.83633 3.18062i
\(683\) 3.88040e43 2.24035e43i 0.0173039 0.00999043i −0.491323 0.870977i \(-0.663487\pi\)
0.508627 + 0.860987i \(0.330153\pi\)
\(684\) −1.42932e45 4.75907e45i −0.622631 2.07312i
\(685\) −5.20142e43 −0.0221347
\(686\) −9.38921e44 4.13695e45i −0.390340 1.71986i
\(687\) −3.21889e45 + 1.39016e45i −1.30737 + 0.564623i
\(688\) −2.17149e45 + 3.76113e45i −0.861673 + 1.49246i
\(689\) −2.84877e45 + 1.64474e45i −1.10446 + 0.637660i
\(690\) 1.44036e44 1.93651e44i 0.0545616 0.0733559i
\(691\) −6.00697e44 + 1.04044e45i −0.222335 + 0.385095i −0.955516 0.294938i \(-0.904701\pi\)
0.733182 + 0.680033i \(0.238034\pi\)
\(692\) 2.56087e45i 0.926168i
\(693\) −1.89576e45 + 3.41713e45i −0.669966 + 1.20762i
\(694\) −1.15872e45 −0.400155
\(695\) 6.33138e43 + 3.65543e43i 0.0213669 + 0.0123362i
\(696\) 6.62791e45 + 4.92979e45i 2.18589 + 1.62585i
\(697\) 2.82835e44 + 4.89884e44i 0.0911609 + 0.157895i
\(698\) 8.55601e45 + 4.93981e45i 2.69516 + 1.55605i
\(699\) 2.31329e45 + 5.35637e45i 0.712190 + 1.64906i
\(700\) −6.74251e45 1.90001e45i −2.02886 0.571724i
\(701\) 2.43630e45i 0.716543i 0.933617 + 0.358271i \(0.116634\pi\)
−0.933617 + 0.358271i \(0.883366\pi\)
\(702\) −6.31447e45 + 5.31262e45i −1.81528 + 1.52727i
\(703\) 1.44059e45 + 2.49517e45i 0.404813 + 0.701156i
\(704\) −2.69564e45 + 1.55633e45i −0.740456 + 0.427503i
\(705\) −1.06762e43 + 9.16893e43i −0.00286677 + 0.0246203i
\(706\) −6.99269e45 −1.83556
\(707\) 4.04272e45 + 4.14817e45i 1.03744 + 1.06450i
\(708\) 9.50102e44 + 2.19994e45i 0.238363 + 0.551922i
\(709\) −2.37467e44 + 4.11304e44i −0.0582455 + 0.100884i −0.893678 0.448709i \(-0.851884\pi\)
0.835432 + 0.549593i \(0.185217\pi\)
\(710\) −3.05129e44 + 1.76166e44i −0.0731727 + 0.0422463i
\(711\) −4.28004e45 1.01043e45i −1.00354 0.236915i
\(712\) 2.86819e44 4.96785e44i 0.0657548 0.113891i
\(713\) 1.03062e46i 2.31030i
\(714\) 8.10927e44 1.96949e45i 0.177750 0.431700i
\(715\) 2.93243e44 0.0628538
\(716\) −7.16979e45 4.13948e45i −1.50279 0.867636i
\(717\) 1.70597e45 2.29362e45i 0.349676 0.470126i
\(718\) 1.98479e45 + 3.43777e45i 0.397855 + 0.689105i
\(719\) 2.32910e45 + 1.34471e45i 0.456590 + 0.263613i 0.710610 0.703587i \(-0.248419\pi\)
−0.254019 + 0.967199i \(0.581753\pi\)
\(720\) 1.72542e44 + 1.62499e44i 0.0330807 + 0.0311553i
\(721\) −2.93496e45 8.27059e44i −0.550349 0.155086i
\(722\) 5.01288e44i 0.0919374i
\(723\) 1.15578e45 9.92599e45i 0.207329 1.78058i
\(724\) −3.39460e45 5.87963e45i −0.595624 1.03165i
\(725\) −7.01210e45 + 4.04844e45i −1.20348 + 0.694832i
\(726\) 9.46594e45 + 1.10221e45i 1.58920 + 0.185045i
\(727\) 5.53936e45 0.909723 0.454861 0.890562i \(-0.349689\pi\)
0.454861 + 0.890562i \(0.349689\pi\)
\(728\) −1.58896e46 + 4.03910e45i −2.55276 + 0.648907i
\(729\) −4.88483e45 4.07703e45i −0.767731 0.640773i
\(730\) 2.60885e44 4.51867e44i 0.0401129 0.0694776i
\(731\) 1.95559e45 1.12906e45i 0.294171 0.169839i
\(732\) 1.51200e45 + 1.12461e45i 0.222523 + 0.165511i
\(733\) −1.83430e45 + 3.17710e45i −0.264123 + 0.457474i −0.967333 0.253507i \(-0.918416\pi\)
0.703210 + 0.710982i \(0.251749\pi\)
\(734\) 1.84481e46i 2.59906i
\(735\) −1.93109e44 1.51508e44i −0.0266198 0.0208852i
\(736\) 4.66261e45 0.628904
\(737\) 1.06185e46 + 6.13062e45i 1.40147 + 0.809141i
\(738\) 9.15326e45 + 2.16090e45i 1.18215 + 0.279082i
\(739\) 9.86678e44 + 1.70898e45i 0.124699 + 0.215986i 0.921615 0.388104i \(-0.126870\pi\)
−0.796916 + 0.604090i \(0.793537\pi\)
\(740\)