Properties

Label 5.33.c.a.2.8
Level $5$
Weight $33$
Character 5.2
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-5100.58 - 5100.58i) q^{2} +(-7.18185e6 + 7.18185e6i) q^{3} -4.24294e9i q^{4} +(1.52141e11 + 1.16729e10i) q^{5} +7.32632e10 q^{6} +(2.17171e13 + 2.17171e13i) q^{7} +(-4.35482e13 + 4.35482e13i) q^{8} +1.74986e15i q^{9} +O(q^{10})\) \(q+(-5100.58 - 5100.58i) q^{2} +(-7.18185e6 + 7.18185e6i) q^{3} -4.24294e9i q^{4} +(1.52141e11 + 1.16729e10i) q^{5} +7.32632e10 q^{6} +(2.17171e13 + 2.17171e13i) q^{7} +(-4.35482e13 + 4.35482e13i) q^{8} +1.74986e15i q^{9} +(-7.16467e14 - 8.35545e14i) q^{10} -5.19447e16 q^{11} +(3.04721e16 + 3.04721e16i) q^{12} +(6.04100e17 - 6.04100e17i) q^{13} -2.21539e17i q^{14} +(-1.17649e18 + 1.00882e18i) q^{15} -1.77790e19 q^{16} +(2.55450e19 + 2.55450e19i) q^{17} +(8.92531e18 - 8.92531e18i) q^{18} +1.62776e20i q^{19} +(4.95274e19 - 6.45523e20i) q^{20} -3.11938e20 q^{21} +(2.64948e20 + 2.64948e20i) q^{22} +(-2.79781e21 + 2.79781e21i) q^{23} -6.25514e20i q^{24} +(2.30106e22 + 3.55185e21i) q^{25} -6.16252e21 q^{26} +(-2.58754e22 - 2.58754e22i) q^{27} +(9.21442e22 - 9.21442e22i) q^{28} +3.52661e23i q^{29} +(1.11463e22 + 8.55195e20i) q^{30} +4.98494e23 q^{31} +(2.77722e23 + 2.77722e23i) q^{32} +(3.73059e23 - 3.73059e23i) q^{33} -2.60589e23i q^{34} +(3.05055e24 + 3.55756e24i) q^{35} +7.42455e24 q^{36} +(1.32176e25 + 1.32176e25i) q^{37} +(8.30252e23 - 8.30252e23i) q^{38} +8.67711e24i q^{39} +(-7.13380e24 + 6.11713e24i) q^{40} +1.17803e26 q^{41} +(1.59106e24 + 1.59106e24i) q^{42} +(9.57807e25 - 9.57807e25i) q^{43} +2.20398e26i q^{44} +(-2.04260e25 + 2.66225e26i) q^{45} +2.85409e25 q^{46} +(-4.63469e26 - 4.63469e26i) q^{47} +(1.27686e26 - 1.27686e26i) q^{48} -1.61163e26i q^{49} +(-9.92506e25 - 1.35484e26i) q^{50} -3.66921e26 q^{51} +(-2.56316e27 - 2.56316e27i) q^{52} +(-7.08726e26 + 7.08726e26i) q^{53} +2.63959e26i q^{54} +(-7.90291e27 - 6.06346e26i) q^{55} -1.89148e27 q^{56} +(-1.16903e27 - 1.16903e27i) q^{57} +(1.79878e27 - 1.79878e27i) q^{58} -1.33400e28i q^{59} +(4.28035e27 + 4.99175e27i) q^{60} +2.13789e28 q^{61} +(-2.54261e27 - 2.54261e27i) q^{62} +(-3.80019e28 + 3.80019e28i) q^{63} +7.35273e28i q^{64} +(9.89598e28 - 8.48566e28i) q^{65} -3.80564e27 q^{66} +(2.29693e29 + 2.29693e29i) q^{67} +(1.08386e29 - 1.08386e29i) q^{68} -4.01869e28i q^{69} +(2.58601e27 - 3.37052e28i) q^{70} -3.37234e28 q^{71} +(-7.62034e28 - 7.62034e28i) q^{72} +(-4.11610e29 + 4.11610e29i) q^{73} -1.34835e29i q^{74} +(-1.90767e29 + 1.39749e29i) q^{75} +6.90648e29 q^{76} +(-1.12809e30 - 1.12809e30i) q^{77} +(4.42583e28 - 4.42583e28i) q^{78} -9.94314e29i q^{79} +(-2.70491e30 - 2.07533e29i) q^{80} -2.87086e30 q^{81} +(-6.00861e29 - 6.00861e29i) q^{82} +(1.82705e30 - 1.82705e30i) q^{83} +1.32353e30i q^{84} +(3.58826e30 + 4.18463e30i) q^{85} -9.77075e29 q^{86} +(-2.53276e30 - 2.53276e30i) q^{87} +(2.26210e30 - 2.26210e30i) q^{88} +3.30204e30i q^{89} +(1.46209e30 - 1.25372e30i) q^{90} +2.62386e31 q^{91} +(1.18709e31 + 1.18709e31i) q^{92} +(-3.58011e30 + 3.58011e30i) q^{93} +4.72792e30i q^{94} +(-1.90007e30 + 2.47649e31i) q^{95} -3.98911e30 q^{96} +(5.20836e31 + 5.20836e31i) q^{97} +(-8.22027e29 + 8.22027e29i) q^{98} -9.08961e31i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} + O(q^{10}) \) \( 30q - 2q^{2} - 2792232q^{3} + 229266409900q^{5} - 645476451240q^{6} + 21807690136848q^{7} + 340768936037220q^{8} - 17555754485145450q^{10} - 60908362837533640q^{11} + 444566273630869608q^{12} + 649759187023107138q^{13} + 6285624407445962400q^{15} - 46108906958970522120q^{16} - \)\(21\!\cdots\!02\)\(q^{17} + \)\(24\!\cdots\!58\)\(q^{18} - \)\(30\!\cdots\!00\)\(q^{20} + \)\(45\!\cdots\!60\)\(q^{21} - \)\(11\!\cdots\!44\)\(q^{22} + \)\(13\!\cdots\!08\)\(q^{23} + \)\(35\!\cdots\!50\)\(q^{25} - \)\(23\!\cdots\!40\)\(q^{26} + \)\(17\!\cdots\!60\)\(q^{27} + \)\(59\!\cdots\!12\)\(q^{28} + \)\(12\!\cdots\!00\)\(q^{30} - \)\(12\!\cdots\!40\)\(q^{31} + \)\(31\!\cdots\!68\)\(q^{32} - \)\(16\!\cdots\!04\)\(q^{33} - \)\(81\!\cdots\!00\)\(q^{35} + \)\(31\!\cdots\!80\)\(q^{36} - \)\(12\!\cdots\!02\)\(q^{37} + \)\(57\!\cdots\!80\)\(q^{38} + \)\(21\!\cdots\!00\)\(q^{40} - \)\(15\!\cdots\!40\)\(q^{41} + \)\(79\!\cdots\!36\)\(q^{42} - \)\(54\!\cdots\!52\)\(q^{43} + \)\(10\!\cdots\!50\)\(q^{45} - \)\(34\!\cdots\!40\)\(q^{46} + \)\(27\!\cdots\!48\)\(q^{47} - \)\(31\!\cdots\!92\)\(q^{48} + \)\(44\!\cdots\!50\)\(q^{50} - \)\(61\!\cdots\!40\)\(q^{51} + \)\(60\!\cdots\!28\)\(q^{52} - \)\(11\!\cdots\!82\)\(q^{53} - \)\(71\!\cdots\!00\)\(q^{55} - \)\(47\!\cdots\!00\)\(q^{56} + \)\(44\!\cdots\!20\)\(q^{57} - \)\(29\!\cdots\!80\)\(q^{58} + \)\(34\!\cdots\!00\)\(q^{60} + \)\(50\!\cdots\!60\)\(q^{61} - \)\(21\!\cdots\!24\)\(q^{62} + \)\(21\!\cdots\!08\)\(q^{63} - \)\(34\!\cdots\!50\)\(q^{65} + \)\(13\!\cdots\!20\)\(q^{66} - \)\(73\!\cdots\!52\)\(q^{67} + \)\(10\!\cdots\!12\)\(q^{68} - \)\(36\!\cdots\!00\)\(q^{70} + \)\(81\!\cdots\!60\)\(q^{71} - \)\(95\!\cdots\!20\)\(q^{72} - \)\(37\!\cdots\!42\)\(q^{73} + \)\(10\!\cdots\!00\)\(q^{75} - \)\(66\!\cdots\!00\)\(q^{76} + \)\(63\!\cdots\!56\)\(q^{77} - \)\(91\!\cdots\!84\)\(q^{78} + \)\(58\!\cdots\!00\)\(q^{80} - \)\(14\!\cdots\!70\)\(q^{81} + \)\(27\!\cdots\!36\)\(q^{82} + \)\(49\!\cdots\!28\)\(q^{83} - \)\(44\!\cdots\!50\)\(q^{85} + \)\(16\!\cdots\!60\)\(q^{86} + \)\(36\!\cdots\!80\)\(q^{87} - \)\(47\!\cdots\!60\)\(q^{88} + \)\(81\!\cdots\!50\)\(q^{90} - \)\(10\!\cdots\!40\)\(q^{91} - \)\(18\!\cdots\!52\)\(q^{92} + \)\(11\!\cdots\!16\)\(q^{93} - \)\(10\!\cdots\!00\)\(q^{95} + \)\(38\!\cdots\!60\)\(q^{96} - \)\(15\!\cdots\!02\)\(q^{97} + \)\(12\!\cdots\!02\)\(q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5100.58 5100.58i −0.0778287 0.0778287i 0.667121 0.744950i \(-0.267526\pi\)
−0.744950 + 0.667121i \(0.767526\pi\)
\(3\) −7.18185e6 + 7.18185e6i −0.166838 + 0.166838i −0.785588 0.618750i \(-0.787640\pi\)
0.618750 + 0.785588i \(0.287640\pi\)
\(4\) 4.24294e9i 0.987885i
\(5\) 1.52141e11 + 1.16729e10i 0.997070 + 0.0764996i
\(6\) 7.32632e10 0.0259696
\(7\) 2.17171e13 + 2.17171e13i 0.653481 + 0.653481i 0.953830 0.300348i \(-0.0971030\pi\)
−0.300348 + 0.953830i \(0.597103\pi\)
\(8\) −4.35482e13 + 4.35482e13i −0.154714 + 0.154714i
\(9\) 1.74986e15i 0.944330i
\(10\) −7.16467e14 8.35545e14i −0.0716467 0.0835545i
\(11\) −5.19447e16 −1.13047 −0.565234 0.824930i \(-0.691214\pi\)
−0.565234 + 0.824930i \(0.691214\pi\)
\(12\) 3.04721e16 + 3.04721e16i 0.164817 + 0.164817i
\(13\) 6.04100e17 6.04100e17i 0.907852 0.907852i −0.0882469 0.996099i \(-0.528126\pi\)
0.996099 + 0.0882469i \(0.0281265\pi\)
\(14\) 2.21539e17i 0.101719i
\(15\) −1.17649e18 + 1.00882e18i −0.179113 + 0.153587i
\(16\) −1.77790e19 −0.963803
\(17\) 2.55450e19 + 2.55450e19i 0.524957 + 0.524957i 0.919064 0.394107i \(-0.128946\pi\)
−0.394107 + 0.919064i \(0.628946\pi\)
\(18\) 8.92531e18 8.92531e18i 0.0734959 0.0734959i
\(19\) 1.62776e20i 0.564329i 0.959366 + 0.282165i \(0.0910524\pi\)
−0.959366 + 0.282165i \(0.908948\pi\)
\(20\) 4.95274e19 6.45523e20i 0.0755728 0.984991i
\(21\) −3.11938e20 −0.218052
\(22\) 2.64948e20 + 2.64948e20i 0.0879829 + 0.0879829i
\(23\) −2.79781e21 + 2.79781e21i −0.456218 + 0.456218i −0.897412 0.441194i \(-0.854555\pi\)
0.441194 + 0.897412i \(0.354555\pi\)
\(24\) 6.25514e20i 0.0516247i
\(25\) 2.30106e22 + 3.55185e21i 0.988296 + 0.152551i
\(26\) −6.16252e21 −0.141314
\(27\) −2.58754e22 2.58754e22i −0.324389 0.324389i
\(28\) 9.21442e22 9.21442e22i 0.645564 0.645564i
\(29\) 3.52661e23i 1.40926i 0.709577 + 0.704628i \(0.248886\pi\)
−0.709577 + 0.704628i \(0.751114\pi\)
\(30\) 1.11463e22 + 8.55195e20i 0.0258935 + 0.00198667i
\(31\) 4.98494e23 0.685287 0.342643 0.939466i \(-0.388678\pi\)
0.342643 + 0.939466i \(0.388678\pi\)
\(32\) 2.77722e23 + 2.77722e23i 0.229726 + 0.229726i
\(33\) 3.73059e23 3.73059e23i 0.188606 0.188606i
\(34\) 2.60589e23i 0.0817134i
\(35\) 3.05055e24 + 3.55756e24i 0.601575 + 0.701557i
\(36\) 7.42455e24 0.932890
\(37\) 1.32176e25 + 1.32176e25i 1.07134 + 1.07134i 0.997252 + 0.0740830i \(0.0236030\pi\)
0.0740830 + 0.997252i \(0.476397\pi\)
\(38\) 8.30252e23 8.30252e23i 0.0439210 0.0439210i
\(39\) 8.67711e24i 0.302929i
\(40\) −7.13380e24 + 6.11713e24i −0.166097 + 0.142425i
\(41\) 1.17803e26 1.84762 0.923811 0.382849i \(-0.125057\pi\)
0.923811 + 0.382849i \(0.125057\pi\)
\(42\) 1.59106e24 + 1.59106e24i 0.0169707 + 0.0169707i
\(43\) 9.57807e25 9.57807e25i 0.701105 0.701105i −0.263543 0.964648i \(-0.584891\pi\)
0.964648 + 0.263543i \(0.0848911\pi\)
\(44\) 2.20398e26i 1.11677i
\(45\) −2.04260e25 + 2.66225e26i −0.0722409 + 0.941563i
\(46\) 2.85409e25 0.0710137
\(47\) −4.63469e26 4.63469e26i −0.817439 0.817439i 0.168297 0.985736i \(-0.446173\pi\)
−0.985736 + 0.168297i \(0.946173\pi\)
\(48\) 1.27686e26 1.27686e26i 0.160799 0.160799i
\(49\) 1.61163e26i 0.145925i
\(50\) −9.92506e25 1.35484e26i −0.0650449 0.0887906i
\(51\) −3.66921e26 −0.175166
\(52\) −2.56316e27 2.56316e27i −0.896853 0.896853i
\(53\) −7.08726e26 + 7.08726e26i −0.182837 + 0.182837i −0.792591 0.609754i \(-0.791268\pi\)
0.609754 + 0.792591i \(0.291268\pi\)
\(54\) 2.63959e26i 0.0504935i
\(55\) −7.90291e27 6.06346e26i −1.12716 0.0864804i
\(56\) −1.89148e27 −0.202206
\(57\) −1.16903e27 1.16903e27i −0.0941519 0.0941519i
\(58\) 1.79878e27 1.79878e27i 0.109680 0.109680i
\(59\) 1.33400e28i 0.618764i −0.950938 0.309382i \(-0.899878\pi\)
0.950938 0.309382i \(-0.100122\pi\)
\(60\) 4.28035e27 + 4.99175e27i 0.151726 + 0.176943i
\(61\) 2.13789e28 0.581712 0.290856 0.956767i \(-0.406060\pi\)
0.290856 + 0.956767i \(0.406060\pi\)
\(62\) −2.54261e27 2.54261e27i −0.0533350 0.0533350i
\(63\) −3.80019e28 + 3.80019e28i −0.617102 + 0.617102i
\(64\) 7.35273e28i 0.928044i
\(65\) 9.89598e28 8.48566e28i 0.974642 0.835741i
\(66\) −3.80564e27 −0.0293579
\(67\) 2.29693e29 + 2.29693e29i 1.39300 + 1.39300i 0.818514 + 0.574487i \(0.194798\pi\)
0.574487 + 0.818514i \(0.305202\pi\)
\(68\) 1.08386e29 1.08386e29i 0.518598 0.518598i
\(69\) 4.01869e28i 0.152230i
\(70\) 2.58601e27 3.37052e28i 0.00778147 0.101421i
\(71\) −3.37234e28 −0.0808719 −0.0404360 0.999182i \(-0.512875\pi\)
−0.0404360 + 0.999182i \(0.512875\pi\)
\(72\) −7.62034e28 7.62034e28i −0.146101 0.146101i
\(73\) −4.11610e29 + 4.11610e29i −0.632878 + 0.632878i −0.948789 0.315911i \(-0.897690\pi\)
0.315911 + 0.948789i \(0.397690\pi\)
\(74\) 1.34835e29i 0.166761i
\(75\) −1.90767e29 + 1.39749e29i −0.190337 + 0.139434i
\(76\) 6.90648e29 0.557493
\(77\) −1.12809e30 1.12809e30i −0.738740 0.738740i
\(78\) 4.42583e28 4.42583e28i 0.0235766 0.0235766i
\(79\) 9.94314e29i 0.432006i −0.976393 0.216003i \(-0.930698\pi\)
0.976393 0.216003i \(-0.0693022\pi\)
\(80\) −2.70491e30 2.07533e29i −0.960979 0.0737305i
\(81\) −2.87086e30 −0.836089
\(82\) −6.00861e29 6.00861e29i −0.143798 0.143798i
\(83\) 1.82705e30 1.82705e30i 0.360164 0.360164i −0.503709 0.863873i \(-0.668032\pi\)
0.863873 + 0.503709i \(0.168032\pi\)
\(84\) 1.32353e30i 0.215410i
\(85\) 3.58826e30 + 4.18463e30i 0.483260 + 0.563578i
\(86\) −9.77075e29 −0.109132
\(87\) −2.53276e30 2.53276e30i −0.235118 0.235118i
\(88\) 2.26210e30 2.26210e30i 0.174900 0.174900i
\(89\) 3.30204e30i 0.213079i 0.994308 + 0.106540i \(0.0339771\pi\)
−0.994308 + 0.106540i \(0.966023\pi\)
\(90\) 1.46209e30 1.25372e30i 0.0789030 0.0676581i
\(91\) 2.62386e31 1.18653
\(92\) 1.18709e31 + 1.18709e31i 0.450692 + 0.450692i
\(93\) −3.58011e30 + 3.58011e30i −0.114332 + 0.114332i
\(94\) 4.72792e30i 0.127240i
\(95\) −1.90007e30 + 2.47649e31i −0.0431710 + 0.562676i
\(96\) −3.98911e30 −0.0766543
\(97\) 5.20836e31 + 5.20836e31i 0.847916 + 0.847916i 0.989873 0.141956i \(-0.0453393\pi\)
−0.141956 + 0.989873i \(0.545339\pi\)
\(98\) −8.22027e29 + 8.22027e29i −0.0113571 + 0.0113571i
\(99\) 9.08961e31i 1.06754i
\(100\) 1.50703e31 9.76323e31i 0.150703 0.976323i
\(101\) −1.05656e32 −0.901053 −0.450527 0.892763i \(-0.648764\pi\)
−0.450527 + 0.892763i \(0.648764\pi\)
\(102\) 1.87151e30 + 1.87151e30i 0.0136329 + 0.0136329i
\(103\) −6.05176e31 + 6.05176e31i −0.377126 + 0.377126i −0.870064 0.492939i \(-0.835923\pi\)
0.492939 + 0.870064i \(0.335923\pi\)
\(104\) 5.26150e31i 0.280916i
\(105\) −4.74585e31 3.64122e30i −0.217413 0.0166809i
\(106\) 7.22983e30 0.0284600
\(107\) −2.28247e32 2.28247e32i −0.773152 0.773152i 0.205504 0.978656i \(-0.434117\pi\)
−0.978656 + 0.205504i \(0.934117\pi\)
\(108\) −1.09787e32 + 1.09787e32i −0.320459 + 0.320459i
\(109\) 1.01353e31i 0.0255278i −0.999919 0.0127639i \(-0.995937\pi\)
0.999919 0.0127639i \(-0.00406299\pi\)
\(110\) 3.72167e31 + 4.34021e31i 0.0809944 + 0.0944557i
\(111\) −1.89854e32 −0.357480
\(112\) −3.86109e32 3.86109e32i −0.629827 0.629827i
\(113\) 4.25348e32 4.25348e32i 0.601852 0.601852i −0.338952 0.940804i \(-0.610072\pi\)
0.940804 + 0.338952i \(0.110072\pi\)
\(114\) 1.19255e31i 0.0146554i
\(115\) −4.58319e32 + 3.93002e32i −0.489782 + 0.419981i
\(116\) 1.49632e33 1.39218
\(117\) 1.05709e33 + 1.05709e33i 0.857311 + 0.857311i
\(118\) −6.80420e31 + 6.80420e31i −0.0481576 + 0.0481576i
\(119\) 1.10953e33i 0.686099i
\(120\) 7.30157e30 9.51662e31i 0.00394927 0.0514734i
\(121\) 5.86878e32 0.277960
\(122\) −1.09045e32 1.09045e32i −0.0452739 0.0452739i
\(123\) −8.46040e32 + 8.46040e32i −0.308254 + 0.308254i
\(124\) 2.11508e33i 0.676985i
\(125\) 3.45938e33 + 8.08982e32i 0.973729 + 0.227708i
\(126\) 3.87664e32 0.0960564
\(127\) −2.19370e32 2.19370e32i −0.0478981 0.0478981i 0.682752 0.730650i \(-0.260783\pi\)
−0.730650 + 0.682752i \(0.760783\pi\)
\(128\) 1.56784e33 1.56784e33i 0.301954 0.301954i
\(129\) 1.37577e33i 0.233943i
\(130\) −9.37570e32 7.19345e31i −0.140900 0.0108104i
\(131\) −1.06780e34 −1.41954 −0.709771 0.704433i \(-0.751201\pi\)
−0.709771 + 0.704433i \(0.751201\pi\)
\(132\) −1.58287e33 1.58287e33i −0.186321 0.186321i
\(133\) −3.53502e33 + 3.53502e33i −0.368779 + 0.368779i
\(134\) 2.34314e33i 0.216831i
\(135\) −3.63466e33 4.23874e33i −0.298623 0.348254i
\(136\) −2.22488e33 −0.162437
\(137\) −3.30014e33 3.30014e33i −0.214290 0.214290i 0.591797 0.806087i \(-0.298419\pi\)
−0.806087 + 0.591797i \(0.798419\pi\)
\(138\) −2.04976e32 + 2.04976e32i −0.0118478 + 0.0118478i
\(139\) 7.98496e33i 0.411184i −0.978638 0.205592i \(-0.934088\pi\)
0.978638 0.205592i \(-0.0659119\pi\)
\(140\) 1.50945e34 1.29433e34i 0.693058 0.594287i
\(141\) 6.65713e33 0.272761
\(142\) 1.72009e32 + 1.72009e32i 0.00629415 + 0.00629415i
\(143\) −3.13798e34 + 3.13798e34i −1.02630 + 1.02630i
\(144\) 3.11108e34i 0.910148i
\(145\) −4.11658e33 + 5.36542e34i −0.107808 + 1.40513i
\(146\) 4.19889e33 0.0985120
\(147\) 1.15745e33 + 1.15745e33i 0.0243459 + 0.0243459i
\(148\) 5.60815e34 5.60815e34i 1.05836 1.05836i
\(149\) 6.45391e34i 1.09356i 0.837276 + 0.546780i \(0.184147\pi\)
−0.837276 + 0.546780i \(0.815853\pi\)
\(150\) 1.68583e33 + 2.60220e32i 0.0256657 + 0.00396169i
\(151\) 1.15864e35 1.58605 0.793027 0.609187i \(-0.208504\pi\)
0.793027 + 0.609187i \(0.208504\pi\)
\(152\) −7.08861e33 7.08861e33i −0.0873099 0.0873099i
\(153\) −4.47003e34 + 4.47003e34i −0.495733 + 0.495733i
\(154\) 1.15078e34i 0.114990i
\(155\) 7.58412e34 + 5.81887e33i 0.683279 + 0.0524242i
\(156\) 3.68164e34 0.299259
\(157\) −1.13553e35 1.13553e35i −0.833303 0.833303i 0.154664 0.987967i \(-0.450571\pi\)
−0.987967 + 0.154664i \(0.950571\pi\)
\(158\) −5.07158e33 + 5.07158e33i −0.0336225 + 0.0336225i
\(159\) 1.01799e34i 0.0610086i
\(160\) 3.90110e34 + 4.54946e34i 0.211479 + 0.246627i
\(161\) −1.21521e35 −0.596260
\(162\) 1.46431e34 + 1.46431e34i 0.0650717 + 0.0650717i
\(163\) −3.28695e35 + 3.28695e35i −1.32371 + 1.32371i −0.412957 + 0.910751i \(0.635504\pi\)
−0.910751 + 0.412957i \(0.864496\pi\)
\(164\) 4.99829e35i 1.82524i
\(165\) 6.11122e34 5.24028e34i 0.202481 0.173625i
\(166\) −1.86380e34 −0.0560621
\(167\) 7.18851e34 + 7.18851e34i 0.196415 + 0.196415i 0.798461 0.602046i \(-0.205648\pi\)
−0.602046 + 0.798461i \(0.705648\pi\)
\(168\) 1.35843e34 1.35843e34i 0.0337357 0.0337357i
\(169\) 2.87093e35i 0.648389i
\(170\) 3.04183e33 3.96462e34i 0.00625105 0.0814740i
\(171\) −2.84835e35 −0.532913
\(172\) −4.06392e35 4.06392e35i −0.692611 0.692611i
\(173\) −5.80898e35 + 5.80898e35i −0.902323 + 0.902323i −0.995637 0.0933134i \(-0.970254\pi\)
0.0933134 + 0.995637i \(0.470254\pi\)
\(174\) 2.58371e34i 0.0365979i
\(175\) 4.22586e35 + 5.76858e35i 0.546143 + 0.745522i
\(176\) 9.23527e35 1.08955
\(177\) 9.58062e34 + 9.58062e34i 0.103234 + 0.103234i
\(178\) 1.68423e34 1.68423e34i 0.0165837 0.0165837i
\(179\) 4.88973e35i 0.440186i −0.975479 0.220093i \(-0.929364\pi\)
0.975479 0.220093i \(-0.0706361\pi\)
\(180\) 1.12958e36 + 8.66662e34i 0.930156 + 0.0713657i
\(181\) 7.74061e35 0.583335 0.291667 0.956520i \(-0.405790\pi\)
0.291667 + 0.956520i \(0.405790\pi\)
\(182\) −1.33832e35 1.33832e35i −0.0923459 0.0923459i
\(183\) −1.53540e35 + 1.53540e35i −0.0970519 + 0.0970519i
\(184\) 2.43679e35i 0.141167i
\(185\) 1.85665e36 + 2.16522e36i 0.986239 + 1.15015i
\(186\) 3.65212e34 0.0177966
\(187\) −1.32693e36 1.32693e36i −0.593448 0.593448i
\(188\) −1.96647e36 + 1.96647e36i −0.807536 + 0.807536i
\(189\) 1.12388e36i 0.423964i
\(190\) 1.36007e35 1.16624e35i 0.0471522 0.0404324i
\(191\) 3.98723e36 1.27098 0.635489 0.772110i \(-0.280799\pi\)
0.635489 + 0.772110i \(0.280799\pi\)
\(192\) −5.28062e35 5.28062e35i −0.154834 0.154834i
\(193\) −1.92242e36 + 1.92242e36i −0.518717 + 0.518717i −0.917183 0.398466i \(-0.869543\pi\)
0.398466 + 0.917183i \(0.369543\pi\)
\(194\) 5.31313e35i 0.131984i
\(195\) −1.01287e35 + 1.32014e36i −0.0231740 + 0.302042i
\(196\) −6.83806e35 −0.144157
\(197\) −5.92024e36 5.92024e36i −1.15048 1.15048i −0.986456 0.164025i \(-0.947552\pi\)
−0.164025 0.986456i \(-0.552448\pi\)
\(198\) −4.63623e35 + 4.63623e35i −0.0830849 + 0.0830849i
\(199\) 9.63563e36i 1.59305i −0.604602 0.796527i \(-0.706668\pi\)
0.604602 0.796527i \(-0.293332\pi\)
\(200\) −1.15675e36 + 8.47392e35i −0.176505 + 0.129302i
\(201\) −3.29924e36 −0.464812
\(202\) 5.38905e35 + 5.38905e35i 0.0701278 + 0.0701278i
\(203\) −7.65878e36 + 7.65878e36i −0.920922 + 0.920922i
\(204\) 1.55682e36i 0.173044i
\(205\) 1.79226e37 + 1.37510e36i 1.84221 + 0.141342i
\(206\) 6.17350e35 0.0587024
\(207\) −4.89578e36 4.89578e36i −0.430821 0.430821i
\(208\) −1.07403e37 + 1.07403e37i −0.874990 + 0.874990i
\(209\) 8.45535e36i 0.637957i
\(210\) 2.23493e35 + 2.60638e35i 0.0156227 + 0.0182192i
\(211\) 7.42910e36 0.481301 0.240651 0.970612i \(-0.422639\pi\)
0.240651 + 0.970612i \(0.422639\pi\)
\(212\) 3.00708e36 + 3.00708e36i 0.180622 + 0.180622i
\(213\) 2.42196e35 2.42196e35i 0.0134925 0.0134925i
\(214\) 2.32839e36i 0.120347i
\(215\) 1.56902e37 1.34541e37i 0.752684 0.645416i
\(216\) 2.25365e36 0.100375
\(217\) 1.08258e37 + 1.08258e37i 0.447822 + 0.447822i
\(218\) −5.16960e34 + 5.16960e34i −0.00198680 + 0.00198680i
\(219\) 5.91224e36i 0.211177i
\(220\) −2.57269e36 + 3.35315e37i −0.0854327 + 1.11350i
\(221\) 3.08635e37 0.953167
\(222\) 9.68364e35 + 9.68364e35i 0.0278222 + 0.0278222i
\(223\) 2.97856e36 2.97856e36i 0.0796394 0.0796394i −0.666165 0.745804i \(-0.732065\pi\)
0.745804 + 0.666165i \(0.232065\pi\)
\(224\) 1.20626e37i 0.300243i
\(225\) −6.21525e36 + 4.02653e37i −0.144058 + 0.933277i
\(226\) −4.33904e36 −0.0936826
\(227\) −4.34126e37 4.34126e37i −0.873379 0.873379i 0.119460 0.992839i \(-0.461884\pi\)
−0.992839 + 0.119460i \(0.961884\pi\)
\(228\) −4.96013e36 + 4.96013e36i −0.0930112 + 0.0930112i
\(229\) 7.21605e37i 1.26163i −0.775934 0.630815i \(-0.782721\pi\)
0.775934 0.630815i \(-0.217279\pi\)
\(230\) 4.34223e36 + 3.33155e35i 0.0708056 + 0.00543252i
\(231\) 1.62035e37 0.246501
\(232\) −1.53578e37 1.53578e37i −0.218032 0.218032i
\(233\) −1.48428e37 + 1.48428e37i −0.196708 + 0.196708i −0.798587 0.601879i \(-0.794419\pi\)
0.601879 + 0.798587i \(0.294419\pi\)
\(234\) 1.07836e37i 0.133447i
\(235\) −6.51025e37 7.59226e37i −0.752510 0.877577i
\(236\) −5.66010e37 −0.611268
\(237\) 7.14101e36 + 7.14101e36i 0.0720753 + 0.0720753i
\(238\) 5.65924e36 5.65924e36i 0.0533982 0.0533982i
\(239\) 1.79423e38i 1.58311i 0.611096 + 0.791556i \(0.290729\pi\)
−0.611096 + 0.791556i \(0.709271\pi\)
\(240\) 2.09168e37 1.79358e37i 0.172629 0.148027i
\(241\) −1.30342e38 −1.00650 −0.503249 0.864141i \(-0.667862\pi\)
−0.503249 + 0.864141i \(0.667862\pi\)
\(242\) −2.99342e36 2.99342e36i −0.0216332 0.0216332i
\(243\) 6.85657e37 6.85657e37i 0.463881 0.463881i
\(244\) 9.07093e37i 0.574665i
\(245\) 1.88125e36 2.45195e37i 0.0111632 0.145497i
\(246\) 8.63059e36 0.0479821
\(247\) 9.83329e37 + 9.83329e37i 0.512327 + 0.512327i
\(248\) −2.17085e37 + 2.17085e37i −0.106024 + 0.106024i
\(249\) 2.62431e37i 0.120178i
\(250\) −1.35186e37 2.17711e37i −0.0580618 0.0935063i
\(251\) 1.38891e38 0.559623 0.279812 0.960055i \(-0.409728\pi\)
0.279812 + 0.960055i \(0.409728\pi\)
\(252\) 1.61240e38 + 1.61240e38i 0.609626 + 0.609626i
\(253\) 1.45332e38 1.45332e38i 0.515741 0.515741i
\(254\) 2.23783e36i 0.00745570i
\(255\) −5.58237e37 4.28304e36i −0.174653 0.0134001i
\(256\) 2.99803e38 0.881043
\(257\) 2.30472e38 + 2.30472e38i 0.636339 + 0.636339i 0.949650 0.313312i \(-0.101438\pi\)
−0.313312 + 0.949650i \(0.601438\pi\)
\(258\) 7.01720e36 7.01720e36i 0.0182074 0.0182074i
\(259\) 5.74096e38i 1.40019i
\(260\) −3.60041e38 4.19880e38i −0.825616 0.962834i
\(261\) −6.17109e38 −1.33080
\(262\) 5.44638e37 + 5.44638e37i 0.110481 + 0.110481i
\(263\) 1.71630e38 1.71630e38i 0.327568 0.327568i −0.524093 0.851661i \(-0.675596\pi\)
0.851661 + 0.524093i \(0.175596\pi\)
\(264\) 3.24922e37i 0.0583601i
\(265\) −1.16099e38 + 9.95532e37i −0.196288 + 0.168314i
\(266\) 3.60613e37 0.0574031
\(267\) −2.37147e37 2.37147e37i −0.0355499 0.0355499i
\(268\) 9.74574e38 9.74574e38i 1.37613 1.37613i
\(269\) 3.57871e38i 0.476091i 0.971254 + 0.238045i \(0.0765067\pi\)
−0.971254 + 0.238045i \(0.923493\pi\)
\(270\) −3.08117e36 + 4.01589e37i −0.00386274 + 0.0503456i
\(271\) −8.92028e38 −1.05407 −0.527036 0.849843i \(-0.676697\pi\)
−0.527036 + 0.849843i \(0.676697\pi\)
\(272\) −4.54166e38 4.54166e38i −0.505955 0.505955i
\(273\) −1.88442e38 + 1.88442e38i −0.197959 + 0.197959i
\(274\) 3.36652e37i 0.0333559i
\(275\) −1.19528e39 1.84500e38i −1.11724 0.172454i
\(276\) −1.70510e38 −0.150385
\(277\) −4.08137e38 4.08137e38i −0.339726 0.339726i 0.516538 0.856264i \(-0.327221\pi\)
−0.856264 + 0.516538i \(0.827221\pi\)
\(278\) −4.07279e37 + 4.07279e37i −0.0320019 + 0.0320019i
\(279\) 8.72295e38i 0.647137i
\(280\) −2.87772e38 2.20791e37i −0.201613 0.0154687i
\(281\) 1.97166e38 0.130476 0.0652379 0.997870i \(-0.479219\pi\)
0.0652379 + 0.997870i \(0.479219\pi\)
\(282\) −3.39552e37 3.39552e37i −0.0212286 0.0212286i
\(283\) 1.67880e39 1.67880e39i 0.991779 0.991779i −0.00818785 0.999966i \(-0.502606\pi\)
0.999966 + 0.00818785i \(0.00260630\pi\)
\(284\) 1.43086e38i 0.0798922i
\(285\) −1.64211e38 1.91503e38i −0.0866734 0.101079i
\(286\) 3.20110e38 0.159751
\(287\) 2.55833e39 + 2.55833e39i 1.20739 + 1.20739i
\(288\) −4.85975e38 + 4.85975e38i −0.216937 + 0.216937i
\(289\) 1.06281e39i 0.448840i
\(290\) 2.94664e38 2.52670e38i 0.117750 0.100969i
\(291\) −7.48113e38 −0.282930
\(292\) 1.74643e39 + 1.74643e39i 0.625210 + 0.625210i
\(293\) −8.92137e38 + 8.92137e38i −0.302378 + 0.302378i −0.841943 0.539566i \(-0.818588\pi\)
0.539566 + 0.841943i \(0.318588\pi\)
\(294\) 1.18074e37i 0.00378962i
\(295\) 1.55717e38 2.02956e39i 0.0473352 0.616951i
\(296\) −1.15121e39 −0.331502
\(297\) 1.34409e39 + 1.34409e39i 0.366712 + 0.366712i
\(298\) 3.29187e38 3.29187e38i 0.0851103 0.0851103i
\(299\) 3.38031e39i 0.828357i
\(300\) 5.92948e38 + 8.09413e38i 0.137745 + 0.188031i
\(301\) 4.16016e39 0.916317
\(302\) −5.90974e38 5.90974e38i −0.123440 0.123440i
\(303\) 7.58803e38 7.58803e38i 0.150330 0.150330i
\(304\) 2.89400e39i 0.543902i
\(305\) 3.25260e39 + 2.49554e38i 0.580007 + 0.0445007i
\(306\) 4.55995e38 0.0771644
\(307\) −7.96399e39 7.96399e39i −1.27914 1.27914i −0.941152 0.337983i \(-0.890255\pi\)
−0.337983 0.941152i \(-0.609745\pi\)
\(308\) −4.78641e39 + 4.78641e39i −0.729791 + 0.729791i
\(309\) 8.69257e38i 0.125838i
\(310\) −3.57154e38 4.16514e38i −0.0490986 0.0572588i
\(311\) −7.82326e38 −0.102146 −0.0510730 0.998695i \(-0.516264\pi\)
−0.0510730 + 0.998695i \(0.516264\pi\)
\(312\) −3.77873e38 3.77873e38i −0.0468675 0.0468675i
\(313\) 6.87661e36 6.87661e36i 0.000810336 0.000810336i −0.706701 0.707512i \(-0.749818\pi\)
0.707512 + 0.706701i \(0.249818\pi\)
\(314\) 1.15837e39i 0.129710i
\(315\) −6.22523e39 + 5.33805e39i −0.662501 + 0.568085i
\(316\) −4.21881e39 −0.426773
\(317\) −6.11072e39 6.11072e39i −0.587684 0.587684i 0.349319 0.937004i \(-0.386413\pi\)
−0.937004 + 0.349319i \(0.886413\pi\)
\(318\) −5.19235e37 + 5.19235e37i −0.00474822 + 0.00474822i
\(319\) 1.83189e40i 1.59312i
\(320\) −8.58277e38 + 1.11865e40i −0.0709950 + 0.925325i
\(321\) 3.27848e39 0.257983
\(322\) 6.19825e38 + 6.19825e38i 0.0464061 + 0.0464061i
\(323\) −4.15812e39 + 4.15812e39i −0.296249 + 0.296249i
\(324\) 1.21809e40i 0.825960i
\(325\) 1.60463e40 1.17550e40i 1.03572 0.758732i
\(326\) 3.35307e39 0.206045
\(327\) 7.27904e37 + 7.27904e37i 0.00425902 + 0.00425902i
\(328\) −5.13010e39 + 5.13010e39i −0.285854 + 0.285854i
\(329\) 2.01304e40i 1.06836i
\(330\) −5.78993e38 4.44229e37i −0.0292718 0.00224586i
\(331\) 2.73484e40 1.31730 0.658650 0.752449i \(-0.271128\pi\)
0.658650 + 0.752449i \(0.271128\pi\)
\(332\) −7.75204e39 7.75204e39i −0.355801 0.355801i
\(333\) −2.31290e40 + 2.31290e40i −1.01169 + 1.01169i
\(334\) 7.33311e38i 0.0305735i
\(335\) 3.22645e40 + 3.76269e40i 1.28235 + 1.49548i
\(336\) 5.54595e39 0.210159
\(337\) 1.27351e40 + 1.27351e40i 0.460176 + 0.460176i 0.898713 0.438537i \(-0.144503\pi\)
−0.438537 + 0.898713i \(0.644503\pi\)
\(338\) −1.46434e39 + 1.46434e39i −0.0504633 + 0.0504633i
\(339\) 6.10957e39i 0.200824i
\(340\) 1.77551e40 1.52247e40i 0.556750 0.477405i
\(341\) −2.58941e40 −0.774695
\(342\) 1.45283e39 + 1.45283e39i 0.0414759 + 0.0414759i
\(343\) 2.74850e40 2.74850e40i 0.748840 0.748840i
\(344\) 8.34217e39i 0.216942i
\(345\) 4.69098e38 6.11407e39i 0.0116455 0.151783i
\(346\) 5.92583e39 0.140453
\(347\) −1.27904e40 1.27904e40i −0.289475 0.289475i 0.547398 0.836873i \(-0.315619\pi\)
−0.836873 + 0.547398i \(0.815619\pi\)
\(348\) −1.07463e40 + 1.07463e40i −0.232270 + 0.232270i
\(349\) 5.37615e40i 1.10985i −0.831900 0.554925i \(-0.812747\pi\)
0.831900 0.554925i \(-0.187253\pi\)
\(350\) 7.86875e38 5.09775e39i 0.0155173 0.100529i
\(351\) −3.12626e40 −0.588994
\(352\) −1.44262e40 1.44262e40i −0.259698 0.259698i
\(353\) −7.74551e40 + 7.74551e40i −1.33246 + 1.33246i −0.429300 + 0.903162i \(0.641240\pi\)
−0.903162 + 0.429300i \(0.858760\pi\)
\(354\) 9.77334e38i 0.0160691i
\(355\) −5.13070e39 3.93650e38i −0.0806349 0.00618667i
\(356\) 1.40103e40 0.210498
\(357\) −7.96847e39 7.96847e39i −0.114468 0.114468i
\(358\) −2.49404e39 + 2.49404e39i −0.0342591 + 0.0342591i
\(359\) 4.46431e39i 0.0586467i −0.999570 0.0293234i \(-0.990665\pi\)
0.999570 0.0293234i \(-0.00933525\pi\)
\(360\) −1.07041e40 1.24832e40i −0.134497 0.156850i
\(361\) 5.67024e40 0.681532
\(362\) −3.94816e39 3.94816e39i −0.0454002 0.0454002i
\(363\) −4.21487e39 + 4.21487e39i −0.0463744 + 0.0463744i
\(364\) 1.11329e41i 1.17215i
\(365\) −6.74273e40 + 5.78179e40i −0.679438 + 0.582608i
\(366\) 1.56629e39 0.0151068
\(367\) −9.91282e40 9.91282e40i −0.915251 0.915251i 0.0814285 0.996679i \(-0.474052\pi\)
−0.996679 + 0.0814285i \(0.974052\pi\)
\(368\) 4.97423e40 4.97423e40i 0.439705 0.439705i
\(369\) 2.06138e41i 1.74476i
\(370\) 1.57392e39 2.05139e40i 0.0127572 0.166272i
\(371\) −3.07829e40 −0.238961
\(372\) 1.51902e40 + 1.51902e40i 0.112947 + 0.112947i
\(373\) 1.85950e41 1.85950e41i 1.32451 1.32451i 0.414423 0.910084i \(-0.363983\pi\)
0.910084 0.414423i \(-0.136017\pi\)
\(374\) 1.35362e40i 0.0923745i
\(375\) −3.06547e40 + 1.90348e40i −0.200446 + 0.124465i
\(376\) 4.03666e40 0.252939
\(377\) 2.13043e41 + 2.13043e41i 1.27940 + 1.27940i
\(378\) −5.73241e39 + 5.73241e39i −0.0329966 + 0.0329966i
\(379\) 1.93679e41i 1.06870i 0.845264 + 0.534349i \(0.179443\pi\)
−0.845264 + 0.534349i \(0.820557\pi\)
\(380\) 1.05076e41 + 8.06187e39i 0.555859 + 0.0426480i
\(381\) 3.15097e39 0.0159825
\(382\) −2.03372e40 2.03372e40i −0.0989185 0.0989185i
\(383\) −1.64205e41 + 1.64205e41i −0.765961 + 0.765961i −0.977393 0.211432i \(-0.932187\pi\)
0.211432 + 0.977393i \(0.432187\pi\)
\(384\) 2.25199e40i 0.100755i
\(385\) −1.58460e41 1.84796e41i −0.680062 0.793089i
\(386\) 1.96109e40 0.0807421
\(387\) 1.67603e41 + 1.67603e41i 0.662074 + 0.662074i
\(388\) 2.20987e41 2.20987e41i 0.837644 0.837644i
\(389\) 2.37002e41i 0.862103i −0.902327 0.431052i \(-0.858143\pi\)
0.902327 0.431052i \(-0.141857\pi\)
\(390\) 7.25011e39 6.21686e39i 0.0253111 0.0217039i
\(391\) −1.42940e41 −0.478990
\(392\) 7.01839e39 + 7.01839e39i 0.0225767 + 0.0225767i
\(393\) 7.66876e40 7.66876e40i 0.236834 0.236834i
\(394\) 6.03933e40i 0.179081i
\(395\) 1.16065e40 1.51276e41i 0.0330483 0.430740i
\(396\) −3.85666e41 −1.05460
\(397\) 2.85614e41 + 2.85614e41i 0.750121 + 0.750121i 0.974502 0.224381i \(-0.0720359\pi\)
−0.224381 + 0.974502i \(0.572036\pi\)
\(398\) −4.91473e40 + 4.91473e40i −0.123985 + 0.123985i
\(399\) 5.07760e40i 0.123053i
\(400\) −4.09105e41 6.31485e40i −0.952522 0.147029i
\(401\) −3.29029e41 −0.736078 −0.368039 0.929810i \(-0.619971\pi\)
−0.368039 + 0.929810i \(0.619971\pi\)
\(402\) 1.68281e40 + 1.68281e40i 0.0361757 + 0.0361757i
\(403\) 3.01140e41 3.01140e41i 0.622139 0.622139i
\(404\) 4.48290e41i 0.890138i
\(405\) −4.36775e41 3.35113e40i −0.833639 0.0639605i
\(406\) 7.81284e40 0.143348
\(407\) −6.86585e41 6.86585e41i −1.21111 1.21111i
\(408\) 1.59788e40 1.59788e40i 0.0271007 0.0271007i
\(409\) 7.42695e40i 0.121126i 0.998164 + 0.0605630i \(0.0192896\pi\)
−0.998164 + 0.0605630i \(0.980710\pi\)
\(410\) −8.44017e40 9.84293e40i −0.132376 0.154377i
\(411\) 4.74022e40 0.0715038
\(412\) 2.56772e41 + 2.56772e41i 0.372557 + 0.372557i
\(413\) 2.89707e41 2.89707e41i 0.404351 0.404351i
\(414\) 4.99426e40i 0.0670604i
\(415\) 2.99295e41 2.56641e41i 0.386661 0.331556i
\(416\) 3.35543e41 0.417114
\(417\) 5.73468e40 + 5.73468e40i 0.0686013 + 0.0686013i
\(418\) −4.31272e40 + 4.31272e40i −0.0496513 + 0.0496513i
\(419\) 1.03667e42i 1.14873i 0.818600 + 0.574364i \(0.194751\pi\)
−0.818600 + 0.574364i \(0.805249\pi\)
\(420\) −1.54495e40 + 2.01363e41i −0.0164788 + 0.214779i
\(421\) −2.97711e41 −0.305691 −0.152845 0.988250i \(-0.548844\pi\)
−0.152845 + 0.988250i \(0.548844\pi\)
\(422\) −3.78927e40 3.78927e40i −0.0374591 0.0374591i
\(423\) 8.11007e41 8.11007e41i 0.771932 0.771932i
\(424\) 6.17276e40i 0.0565751i
\(425\) 4.97073e41 + 6.78538e41i 0.438730 + 0.598896i
\(426\) −2.47068e39 −0.00210021
\(427\) 4.64287e41 + 4.64287e41i 0.380138 + 0.380138i
\(428\) −9.68438e41 + 9.68438e41i −0.763786 + 0.763786i
\(429\) 4.50730e41i 0.342452i
\(430\) −1.48653e41 1.14053e40i −0.108812 0.00834856i
\(431\) 1.89770e42 1.33842 0.669209 0.743075i \(-0.266633\pi\)
0.669209 + 0.743075i \(0.266633\pi\)
\(432\) 4.60039e41 + 4.60039e41i 0.312647 + 0.312647i
\(433\) 3.55115e41 3.55115e41i 0.232575 0.232575i −0.581192 0.813766i \(-0.697413\pi\)
0.813766 + 0.581192i \(0.197413\pi\)
\(434\) 1.10436e41i 0.0697068i
\(435\) −3.55771e41 4.14901e41i −0.216443 0.252416i
\(436\) −4.30035e40 −0.0252186
\(437\) −4.55416e41 4.55416e41i −0.257457 0.257457i
\(438\) −3.01558e40 + 3.01558e40i −0.0164356 + 0.0164356i
\(439\) 5.29926e41i 0.278473i −0.990259 0.139236i \(-0.955535\pi\)
0.990259 0.139236i \(-0.0444648\pi\)
\(440\) 3.70563e41 3.17753e41i 0.187767 0.161008i
\(441\) 2.82014e41 0.137801
\(442\) −1.57422e41 1.57422e41i −0.0741837 0.0741837i
\(443\) −1.34884e42 + 1.34884e42i −0.613058 + 0.613058i −0.943742 0.330684i \(-0.892721\pi\)
0.330684 + 0.943742i \(0.392721\pi\)
\(444\) 8.05537e41i 0.353149i
\(445\) −3.85444e40 + 5.02374e41i −0.0163005 + 0.212455i
\(446\) −3.03847e40 −0.0123965
\(447\) −4.63510e41 4.63510e41i −0.182448 0.182448i
\(448\) −1.59680e42 + 1.59680e42i −0.606460 + 0.606460i
\(449\) 5.15854e42i 1.89054i −0.326293 0.945269i \(-0.605800\pi\)
0.326293 0.945269i \(-0.394200\pi\)
\(450\) 2.37078e41 1.73675e41i 0.0838476 0.0614238i
\(451\) −6.11922e42 −2.08868
\(452\) −1.80472e42 1.80472e42i −0.594561 0.594561i
\(453\) −8.32119e41 + 8.32119e41i −0.264615 + 0.264615i
\(454\) 4.42859e41i 0.135948i
\(455\) 3.99196e42 + 3.06281e41i 1.18305 + 0.0907689i
\(456\) 1.01819e41 0.0291333
\(457\) −1.83049e41 1.83049e41i −0.0505718 0.0505718i 0.681369 0.731940i \(-0.261385\pi\)
−0.731940 + 0.681369i \(0.761385\pi\)
\(458\) −3.68060e41 + 3.68060e41i −0.0981909 + 0.0981909i
\(459\) 1.32197e42i 0.340581i
\(460\) 1.66748e42 + 1.94462e42i 0.414893 + 0.483849i
\(461\) 5.64635e42 1.35692 0.678458 0.734639i \(-0.262649\pi\)
0.678458 + 0.734639i \(0.262649\pi\)
\(462\) −8.26474e40 8.26474e40i −0.0191848 0.0191848i
\(463\) −3.17014e42 + 3.17014e42i −0.710858 + 0.710858i −0.966715 0.255857i \(-0.917642\pi\)
0.255857 + 0.966715i \(0.417642\pi\)
\(464\) 6.26997e42i 1.35824i
\(465\) −5.86470e41 + 5.02890e41i −0.122744 + 0.105251i
\(466\) 1.51414e41 0.0306190
\(467\) −1.45092e42 1.45092e42i −0.283514 0.283514i 0.550995 0.834509i \(-0.314248\pi\)
−0.834509 + 0.550995i \(0.814248\pi\)
\(468\) 4.48517e42 4.48517e42i 0.846925 0.846925i
\(469\) 9.97654e42i 1.82060i
\(470\) −5.51886e40 + 7.19310e41i −0.00973384 + 0.126867i
\(471\) 1.63104e42 0.278054
\(472\) 5.80936e41 + 5.80936e41i 0.0957318 + 0.0957318i
\(473\) −4.97531e42 + 4.97531e42i −0.792577 + 0.792577i
\(474\) 7.28466e40i 0.0112190i
\(475\) −5.78156e41 + 3.74556e42i −0.0860889 + 0.557724i
\(476\) 4.70766e42 0.677787
\(477\) −1.24017e42 1.24017e42i −0.172659 0.172659i
\(478\) 9.15162e41 9.15162e41i 0.123212 0.123212i
\(479\) 4.93083e42i 0.642025i −0.947075 0.321013i \(-0.895977\pi\)
0.947075 0.321013i \(-0.104023\pi\)
\(480\) −6.06906e41 4.65645e40i −0.0764296 0.00586402i
\(481\) 1.59695e43 1.94523
\(482\) 6.64822e41 + 6.64822e41i 0.0783344 + 0.0783344i
\(483\) 8.72743e41 8.72743e41i 0.0994792 0.0994792i
\(484\) 2.49009e42i 0.274592i
\(485\) 7.31607e42 + 8.53200e42i 0.780566 + 0.910297i
\(486\) −6.99449e41 −0.0722065
\(487\) −4.98113e42 4.98113e42i −0.497582 0.497582i 0.413103 0.910684i \(-0.364445\pi\)
−0.910684 + 0.413103i \(0.864445\pi\)
\(488\) −9.31013e41 + 9.31013e41i −0.0899992 + 0.0899992i
\(489\) 4.72128e42i 0.441691i
\(490\) −1.34659e41 + 1.15468e41i −0.0121927 + 0.0104550i
\(491\) −1.98459e43 −1.73927 −0.869636 0.493693i \(-0.835647\pi\)
−0.869636 + 0.493693i \(0.835647\pi\)
\(492\) 3.58969e42 + 3.58969e42i 0.304520 + 0.304520i
\(493\) −9.00875e42 + 9.00875e42i −0.739799 + 0.739799i
\(494\) 1.00311e42i 0.0797475i
\(495\) 1.06102e42 1.38290e43i 0.0816660 1.06441i
\(496\) −8.86273e42 −0.660482
\(497\) −7.32374e41 7.32374e41i −0.0528483 0.0528483i
\(498\) 1.33855e41 1.33855e41i 0.00935332 0.00935332i
\(499\) 2.02767e43i 1.37211i 0.727551 + 0.686054i \(0.240659\pi\)
−0.727551 + 0.686054i \(0.759341\pi\)
\(500\) 3.43246e42 1.46779e43i 0.224949 0.961933i
\(501\) −1.03254e42 −0.0655393
\(502\) −7.08427e41 7.08427e41i −0.0435547 0.0435547i
\(503\) 1.19644e43 1.19644e43i 0.712529 0.712529i −0.254535 0.967064i \(-0.581922\pi\)
0.967064 + 0.254535i \(0.0819223\pi\)
\(504\) 3.30983e42i 0.190949i
\(505\) −1.60745e43 1.23331e42i −0.898413 0.0689302i
\(506\) −1.48255e42 −0.0802788
\(507\) 2.06186e42 + 2.06186e42i 0.108176 + 0.108176i
\(508\) −9.30775e41 + 9.30775e41i −0.0473179 + 0.0473179i
\(509\) 8.65032e42i 0.426136i −0.977037 0.213068i \(-0.931654\pi\)
0.977037 0.213068i \(-0.0683455\pi\)
\(510\) 2.62887e41 + 3.06579e41i 0.0125501 + 0.0146359i
\(511\) −1.78779e43 −0.827147
\(512\) −8.26298e42 8.26298e42i −0.370525 0.370525i
\(513\) 4.21189e42 4.21189e42i 0.183062 0.183062i
\(514\) 2.35108e42i 0.0990508i
\(515\) −9.91361e42 + 8.50077e42i −0.404870 + 0.347171i
\(516\) 5.83729e42 0.231108
\(517\) 2.40748e43 + 2.40748e43i 0.924089 + 0.924089i
\(518\) 2.92822e42 2.92822e42i 0.108975 0.108975i
\(519\) 8.34384e42i 0.301085i
\(520\) −6.14170e41 + 8.00488e42i −0.0214899 + 0.280092i
\(521\) 1.77245e43 0.601411 0.300706 0.953717i \(-0.402778\pi\)
0.300706 + 0.953717i \(0.402778\pi\)
\(522\) 3.14761e42 + 3.14761e42i 0.103575 + 0.103575i
\(523\) 1.29808e43 1.29808e43i 0.414260 0.414260i −0.468960 0.883220i \(-0.655371\pi\)
0.883220 + 0.468960i \(0.155371\pi\)
\(524\) 4.53059e43i 1.40234i
\(525\) −7.17786e42 1.10796e42i −0.215499 0.0332640i
\(526\) −1.75083e42 −0.0509884
\(527\) 1.27340e43 + 1.27340e43i 0.359746 + 0.359746i
\(528\) −6.63263e42 + 6.63263e42i −0.181779 + 0.181779i
\(529\) 2.19534e43i 0.583730i
\(530\) 1.09995e42 + 8.43932e40i 0.0283766 + 0.00217718i
\(531\) 2.33432e43 0.584317
\(532\) 1.49989e43 + 1.49989e43i 0.364311 + 0.364311i
\(533\) 7.11645e43 7.11645e43i 1.67737 1.67737i
\(534\) 2.41918e41i 0.00553360i
\(535\) −3.20614e43 3.73900e43i −0.711741 0.830033i
\(536\) −2.00055e43 −0.431035
\(537\) 3.51173e42 + 3.51173e42i 0.0734400 + 0.0734400i
\(538\) 1.82535e42 1.82535e42i 0.0370535 0.0370535i
\(539\) 8.37159e42i 0.164964i
\(540\) −1.79847e43 + 1.54216e43i −0.344035 + 0.295005i
\(541\) −1.63100e43 −0.302899 −0.151449 0.988465i \(-0.548394\pi\)
−0.151449 + 0.988465i \(0.548394\pi\)
\(542\) 4.54986e42 + 4.54986e42i 0.0820370 + 0.0820370i
\(543\) −5.55919e42 + 5.55919e42i −0.0973227 + 0.0973227i
\(544\) 1.41888e43i 0.241193i
\(545\) 1.18309e41 1.54200e42i 0.00195287 0.0254530i
\(546\) 1.92232e42 0.0308137
\(547\) −4.27534e43 4.27534e43i −0.665539 0.665539i 0.291141 0.956680i \(-0.405965\pi\)
−0.956680 + 0.291141i \(0.905965\pi\)
\(548\) −1.40023e43 + 1.40023e43i −0.211694 + 0.211694i
\(549\) 3.74101e43i 0.549328i
\(550\) 5.15555e42 + 7.03766e42i 0.0735312 + 0.100375i
\(551\) −5.74048e43 −0.795284
\(552\) 1.75007e42 + 1.75007e42i 0.0235521 + 0.0235521i
\(553\) 2.15936e43 2.15936e43i 0.282308 0.282308i
\(554\) 4.16347e42i 0.0528809i
\(555\) −2.88845e43 2.21615e42i −0.356432 0.0273471i
\(556\) −3.38797e43 −0.406202
\(557\) 1.27671e43 + 1.27671e43i 0.148734 + 0.148734i 0.777552 0.628818i \(-0.216461\pi\)
−0.628818 + 0.777552i \(0.716461\pi\)
\(558\) 4.44921e42 4.44921e42i 0.0503658 0.0503658i
\(559\) 1.15722e44i 1.27300i
\(560\) −5.42359e43 6.32499e43i −0.579800 0.676163i
\(561\) 1.90596e43 0.198020
\(562\) −1.00566e42 1.00566e42i −0.0101548 0.0101548i
\(563\) −8.17225e43 + 8.17225e43i −0.802061 + 0.802061i −0.983417 0.181356i \(-0.941951\pi\)
0.181356 + 0.983417i \(0.441951\pi\)
\(564\) 2.82458e43i 0.269456i
\(565\) 6.96778e43 5.97477e43i 0.646129 0.554047i
\(566\) −1.71257e43 −0.154378
\(567\) −6.23468e43 6.23468e43i −0.546368 0.546368i
\(568\) 1.46859e42 1.46859e42i 0.0125121 0.0125121i
\(569\) 7.56311e43i 0.626476i 0.949675 + 0.313238i \(0.101414\pi\)
−0.949675 + 0.313238i \(0.898586\pi\)
\(570\) −1.39205e41 + 1.81435e42i −0.00112113 + 0.0146125i
\(571\) 1.54228e44 1.20777 0.603887 0.797070i \(-0.293618\pi\)
0.603887 + 0.797070i \(0.293618\pi\)
\(572\) 1.33142e44 + 1.33142e44i 1.01386 + 1.01386i
\(573\) −2.86357e43 + 2.86357e43i −0.212048 + 0.212048i
\(574\) 2.60979e43i 0.187938i
\(575\) −7.43165e43 + 5.44417e43i −0.520475 + 0.381282i
\(576\) −1.28663e44 −0.876380
\(577\) 1.09219e44 + 1.09219e44i 0.723575 + 0.723575i 0.969332 0.245757i \(-0.0790364\pi\)
−0.245757 + 0.969332i \(0.579036\pi\)
\(578\) −5.42096e42 + 5.42096e42i −0.0349326 + 0.0349326i
\(579\) 2.76130e43i 0.173084i
\(580\) 2.27651e44 + 1.74664e43i 1.38810 + 0.106501i
\(581\) 7.93563e43 0.470720
\(582\) 3.81581e42 + 3.81581e42i 0.0220201 + 0.0220201i
\(583\) 3.68146e43 3.68146e43i 0.206692 0.206692i
\(584\) 3.58497e43i 0.195831i
\(585\) 1.48487e44 + 1.73166e44i 0.789215 + 0.920383i
\(586\) 9.10083e42 0.0470673
\(587\) −2.14797e44 2.14797e44i −1.08098 1.08098i −0.996418 0.0845635i \(-0.973050\pi\)
−0.0845635 0.996418i \(-0.526950\pi\)
\(588\) 4.91099e42 4.91099e42i 0.0240509 0.0240509i
\(589\) 8.11428e43i 0.386727i
\(590\) −1.11462e43 + 9.55771e42i −0.0517005 + 0.0443324i
\(591\) 8.50365e43 0.383889
\(592\) −2.34996e44 2.34996e44i −1.03256 1.03256i
\(593\) −1.74021e43 + 1.74021e43i −0.0744263 + 0.0744263i −0.743340 0.668914i \(-0.766760\pi\)
0.668914 + 0.743340i \(0.266760\pi\)
\(594\) 1.37113e43i 0.0570814i
\(595\) −1.29514e43 + 1.68804e44i −0.0524863 + 0.684089i
\(596\) 2.73835e44 1.08031
\(597\) 6.92016e43 + 6.92016e43i 0.265783 + 0.265783i
\(598\) 1.72415e43 1.72415e43i 0.0644699 0.0644699i
\(599\) 1.15737e44i 0.421350i 0.977556 + 0.210675i \(0.0675662\pi\)
−0.977556 + 0.210675i \(0.932434\pi\)
\(600\) 2.22173e42 1.43934e43i 0.00787539 0.0510204i
\(601\) 1.20468e43 0.0415796 0.0207898 0.999784i \(-0.493382\pi\)
0.0207898 + 0.999784i \(0.493382\pi\)
\(602\) −2.12192e43 2.12192e43i −0.0713158 0.0713158i
\(603\) −4.01932e44 + 4.01932e44i −1.31545 + 1.31545i
\(604\) 4.91604e44i 1.56684i
\(605\) 8.92881e43 + 6.85058e42i 0.277145 + 0.0212638i
\(606\) −7.74067e42 −0.0234000
\(607\) −4.01564e44 4.01564e44i −1.18232 1.18232i −0.979141 0.203182i \(-0.934872\pi\)
−0.203182 0.979141i \(-0.565128\pi\)
\(608\) −4.52064e43 + 4.52064e43i −0.129641 + 0.129641i
\(609\) 1.10008e44i 0.307291i
\(610\) −1.53173e43 1.78630e43i −0.0416778 0.0486046i
\(611\) −5.59963e44 −1.48423
\(612\) 1.89661e44 + 1.89661e44i 0.489727 + 0.489727i
\(613\) 6.00864e43 6.00864e43i 0.151150 0.151150i −0.627481 0.778632i \(-0.715914\pi\)
0.778632 + 0.627481i \(0.215914\pi\)
\(614\) 8.12419e43i 0.199107i
\(615\) −1.38593e44 + 1.18841e44i −0.330932 + 0.283770i
\(616\) 9.82526e43 0.228588
\(617\) 1.50007e44 + 1.50007e44i 0.340055 + 0.340055i 0.856388 0.516333i \(-0.172703\pi\)
−0.516333 + 0.856388i \(0.672703\pi\)
\(618\) −4.43371e42 + 4.43371e42i −0.00979381 + 0.00979381i
\(619\) 6.43848e44i 1.38590i −0.720984 0.692951i \(-0.756310\pi\)
0.720984 0.692951i \(-0.243690\pi\)
\(620\) 2.46891e43 3.21789e44i 0.0517891 0.675001i
\(621\) 1.44789e44 0.295985
\(622\) 3.99032e42 + 3.99032e42i 0.00794989 + 0.00794989i
\(623\) −7.17106e43 + 7.17106e43i −0.139243 + 0.139243i
\(624\) 1.54270e44i 0.291964i
\(625\) 5.16870e44 + 1.63460e44i 0.953456 + 0.301531i
\(626\) −7.01494e40 −0.000126135
\(627\) 6.07251e43 + 6.07251e43i 0.106436 + 0.106436i
\(628\) −4.81797e44 + 4.81797e44i −0.823208 + 0.823208i
\(629\) 6.75289e44i 1.12481i
\(630\) 5.89794e43 + 4.52516e42i 0.0957749 + 0.00734828i
\(631\) 1.29342e44 0.204772 0.102386 0.994745i \(-0.467352\pi\)
0.102386 + 0.994745i \(0.467352\pi\)
\(632\) 4.33006e43 + 4.33006e43i 0.0668376 + 0.0668376i
\(633\) −5.33547e43 + 5.33547e43i −0.0802996 + 0.0802996i
\(634\) 6.23364e43i 0.0914774i
\(635\) −3.08145e43 3.59359e43i −0.0440936 0.0514220i
\(636\) −4.31928e43 −0.0602695
\(637\) −9.73588e43 9.73588e43i −0.132478 0.132478i
\(638\) −9.34370e43 + 9.34370e43i −0.123990 + 0.123990i
\(639\) 5.90113e43i 0.0763698i
\(640\) 2.56833e44 2.20231e44i 0.324169 0.277970i
\(641\) 1.04469e45 1.28606 0.643028 0.765843i \(-0.277678\pi\)
0.643028 + 0.765843i \(0.277678\pi\)
\(642\) −1.67221e43 1.67221e43i −0.0200785 0.0200785i
\(643\) 9.53779e44 9.53779e44i 1.11705 1.11705i 0.124877 0.992172i \(-0.460146\pi\)
0.992172 0.124877i \(-0.0398536\pi\)
\(644\) 5.15604e44i 0.589037i
\(645\) −1.60592e43 + 2.09310e44i −0.0178965 + 0.233257i
\(646\) 4.24176e43 0.0461133
\(647\) 1.17210e44 + 1.17210e44i 0.124308 + 0.124308i 0.766524 0.642216i \(-0.221985\pi\)
−0.642216 + 0.766524i \(0.721985\pi\)
\(648\) 1.25021e44 1.25021e44i 0.129355 0.129355i
\(649\) 6.92945e44i 0.699494i
\(650\) −1.41803e44 2.18883e43i −0.139660 0.0215575i
\(651\) −1.55499e44 −0.149428
\(652\) 1.39463e45 + 1.39463e45i 1.30767 + 1.30767i
\(653\) 5.84265e44 5.84265e44i 0.534563 0.534563i −0.387364 0.921927i \(-0.626614\pi\)
0.921927 + 0.387364i \(0.126614\pi\)
\(654\) 7.42546e41i 0.000662948i
\(655\) −1.62455e45 1.24643e44i −1.41538 0.108594i
\(656\) −2.09442e45 −1.78074
\(657\) −7.20260e44 7.20260e44i −0.597645 0.597645i
\(658\) −1.02677e44 + 1.02677e44i −0.0831492 + 0.0831492i
\(659\) 8.79148e44i 0.694857i −0.937707 0.347428i \(-0.887055\pi\)
0.937707 0.347428i \(-0.112945\pi\)
\(660\) −2.22342e44 2.59295e44i −0.171521 0.200028i
\(661\) 9.80458e44 0.738254 0.369127 0.929379i \(-0.379657\pi\)
0.369127 + 0.929379i \(0.379657\pi\)
\(662\) −1.39493e44 1.39493e44i −0.102524 0.102524i
\(663\) −2.21657e44 + 2.21657e44i −0.159025 + 0.159025i
\(664\) 1.59129e44i 0.111445i
\(665\) −5.79085e44 + 4.96557e44i −0.395909 + 0.339486i
\(666\) 2.35943e44 0.157478
\(667\) −9.86679e44 9.86679e44i −0.642928 0.642928i
\(668\) 3.05004e44 3.05004e44i 0.194036 0.194036i
\(669\) 4.27831e43i 0.0265738i
\(670\) 2.73512e43 3.56487e44i 0.0165875 0.216195i
\(671\) −1.11052e45 −0.657607
\(672\) −8.66319e43 8.66319e43i −0.0500921 0.0500921i
\(673\) 6.46753e44 6.46753e44i 0.365172 0.365172i −0.500541 0.865713i \(-0.666866\pi\)
0.865713 + 0.500541i \(0.166866\pi\)
\(674\) 1.29913e44i 0.0716298i
\(675\) −5.03501e44 6.87312e44i −0.271106 0.370078i
\(676\) −1.21812e45 −0.640534
\(677\) 3.66386e44 + 3.66386e44i 0.188157 + 0.188157i 0.794899 0.606742i \(-0.207524\pi\)
−0.606742 + 0.794899i \(0.707524\pi\)
\(678\) 3.11624e43 3.11624e43i 0.0156299 0.0156299i
\(679\) 2.26221e45i 1.10819i
\(680\) −3.38496e44 2.59709e43i −0.161961 0.0124264i
\(681\) 6.23566e44 0.291426
\(682\) 1.32075e44 + 1.32075e44i 0.0602935 + 0.0602935i
\(683\) 2.94810e45 2.94810e45i 1.31465 1.31465i 0.396708 0.917945i \(-0.370152\pi\)
0.917945 0.396708i \(-0.129848\pi\)
\(684\) 1.20854e45i 0.526457i
\(685\) −4.63563e44 5.40607e44i −0.197269 0.230056i
\(686\) −2.80378e44 −0.116562
\(687\) 5.18246e44 + 5.18246e44i 0.210488 + 0.210488i
\(688\) −1.70289e45 + 1.70289e45i −0.675727 + 0.675727i
\(689\) 8.56282e44i 0.331978i
\(690\) −3.35779e43 + 2.87926e43i −0.0127195 + 0.0109068i
\(691\) −3.82490e45 −1.41570 −0.707850 0.706363i \(-0.750335\pi\)
−0.707850 + 0.706363i \(0.750335\pi\)
\(692\) 2.46471e45 + 2.46471e45i 0.891392 + 0.891392i
\(693\) 1.97400e45 1.97400e45i 0.697614 0.697614i
\(694\) 1.30477e44i 0.0450589i
\(695\) 9.32077e43 1.21484e45i 0.0314554 0.409979i
\(696\) 2.20595e44 0.0727523
\(697\) 3.00927e45 + 3.00927e45i 0.969922 + 0.969922i
\(698\) −2.74215e44 + 2.74215e44i −0.0863782 + 0.0863782i
\(699\) 2.13198e44i 0.0656369i
\(700\) 2.44757e45 1.79301e45i 0.736490 0.539527i
\(701\) 5.21709e45 1.53441 0.767203 0.641404i \(-0.221648\pi\)
0.767203 + 0.641404i \(0.221648\pi\)
\(702\) 1.59457e44 + 1.59457e44i 0.0458406 + 0.0458406i
\(703\) −2.15151e45 + 2.15151e45i −0.604586 + 0.604586i
\(704\) 3.81935e45i 1.04913i
\(705\) 1.01282e45 + 7.77082e43i 0.271961 + 0.0208661i
\(706\) 7.90132e44 0.207407
\(707\) −2.29453e45 2.29453e45i −0.588821 0.588821i
\(708\) 4.06500e44 4.06500e44i 0.101983 0.101983i
\(709\) 4.59255e45i 1.12645i 0.826302 + 0.563227i \(0.190440\pi\)
−0.826302 + 0.563227i \(0.809560\pi\)
\(710\) 2.41617e43 + 2.81774e43i 0.00579421 + 0.00675721i
\(711\) 1.73991e45 0.407956
\(712\) −1.43798e44 1.43798e44i −0.0329665 0.0329665i
\(713\) −1.39469e45 + 1.39469e45i −0.312640 + 0.312640i
\(714\) 8.12876e43i 0.0178177i
\(715\) −5.14044e45 + 4.40785e45i −1.10180 + 0.944779i
\(716\) −2.07468e45 −0.434853
\(717\) −1.28859e45 1.28859e45i −0.264124 0.264124i
\(718\) −2.27706e43 + 2.27706e43i −0.00456439 + 0.00456439i
\(719\) 1.38193e45i 0.270909i −0.990784 0.135454i \(-0.956751\pi\)
0.990784 0.135454i \(-0.0432494\pi\)
\(720\) 3.63154e44 4.73323e45i 0.0696260 0.907481i
\(721\) −2.62853e45 −0.492889
\(722\) −2.89215e44 2.89215e44i −0.0530428 0.0530428i
\(723\) 9.36100e44 9.36100e44i 0.167923 0.167923i
\(724\) 3.28429e45i 0.576268i
\(725\) −1.25260e45 + 8.11493e45i −0.214983 + 1.39276i
\(726\) 4.29966e43 0.00721852
\(727\) −4.22465e45 4.22465e45i −0.693809 0.693809i 0.269259 0.963068i \(-0.413221\pi\)
−0.963068 + 0.269259i \(0.913221\pi\)
\(728\) −1.14264e45 + 1.14264e45i −0.183573 + 0.183573i
\(729\) 4.33491e45i 0.681302i
\(730\) 6.38823e44 + 4.90133e43i 0.0982233 + 0.00753613i
\(731\) 4.89345e45 0.736100
\(732\) 6.51460e44 + 6.51460e44i 0.0958762 + 0.0958762i
\(733\) 1.90729e45 1.90729e45i 0.274634 0.274634i −0.556329 0.830962i \(-0.687790\pi\)
0.830962 + 0.556329i \(0.187790\pi\)
\(734\) 1.01122e45i 0.142465i
\(735\) 1.62585e44 + 1.89606e44i 0.0224121 + 0.0261370i
\(736\) −1.55402e45 −0.209610
\(737\) −1.19314e46 1.19314e46i −1.57474 1.57474i
\(738\) 1.05142e45 1.05142e45i 0.135793 0.135793i
\(739\) 3.71447e45i 0.469446i 0.972062 + 0.234723i \(0.0754183\pi\)
−0.972062 + 0.234723i \(0.924582\pi\)
\(740\) 9.18691e45 7.87764e45i 1.13622 0.974291i
\(741\) −1.41242e45 −0.170952
\(742\) 1.57011e44 + 1.57011e44i 0.0185980 + 0.0185980i
\(743\) −1.06173e46 + 1.06173e46i −1.23082 + 1.23082i −0.267166 + 0.963650i \(0.586087\pi\)
−0.963650 + 0.267166i \(0.913913\pi\)
\(744\) 3.11815e44i 0.0353777i
\(745\) −7.53359e44 + 9.81902e45i −0.0836569 + 1.09036i
\(746\) −1.89690e45 −0.206169
\(747\) 3.19708e45 + 3.19708e45i 0.340113 + 0.340113i
\(748\) −5.63008e45 + 5.63008e45i −0.586258 + 0.586258i
\(749\) 9.91373e45i 1.01048i
\(750\) 2.53445e44 + 5.92686e43i 0.0252874 + 0.00591349i
\(751\) 1.11575e46 1.08975 0.544876 0.838517i \(-0.316577\pi\)
0.544876 + 0.838517i \(0.316577\pi\)
\(752\) 8.24003e45 + 8.24003e45i 0.787850 + 0.787850i
\(753\) −9.97497e44 + 9.97497e44i