Properties

Label 5.33.c.a.3.1
Level $5$
Weight $33$
Character 5.3
Analytic conductor $32.433$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 3.1
Character \(\chi\) \(=\) 5.3
Dual form 5.33.c.a.2.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-86676.0 + 86676.0i) q^{2} +(3.32299e7 + 3.32299e7i) q^{3} -1.07305e10i q^{4} +(1.18818e11 - 9.57363e10i) q^{5} -5.76047e12 q^{6} +(-3.06435e13 + 3.06435e13i) q^{7} +(5.57804e14 + 5.57804e14i) q^{8} +3.55432e14i q^{9} +O(q^{10})\) \(q+(-86676.0 + 86676.0i) q^{2} +(3.32299e7 + 3.32299e7i) q^{3} -1.07305e10i q^{4} +(1.18818e11 - 9.57363e10i) q^{5} -5.76047e12 q^{6} +(-3.06435e13 + 3.06435e13i) q^{7} +(5.57804e14 + 5.57804e14i) q^{8} +3.55432e14i q^{9} +(-2.00059e15 + 1.85967e16i) q^{10} -5.53776e16 q^{11} +(3.56573e17 - 3.56573e17i) q^{12} +(1.61898e17 + 1.61898e17i) q^{13} -5.31211e18i q^{14} +(7.12960e18 + 7.66989e17i) q^{15} -5.06094e19 q^{16} +(-2.56755e19 + 2.56755e19i) q^{17} +(-3.08074e19 - 3.08074e19i) q^{18} -4.51346e20i q^{19} +(-1.02730e21 - 1.27497e21i) q^{20} -2.03656e21 q^{21} +(4.79991e21 - 4.79991e21i) q^{22} +(2.16132e21 + 2.16132e21i) q^{23} +3.70715e22i q^{24} +(4.95218e21 - 2.27503e22i) q^{25} -2.80654e22 q^{26} +(4.97647e22 - 4.97647e22i) q^{27} +(3.28820e23 + 3.28820e23i) q^{28} -1.69547e23i q^{29} +(-6.84445e23 + 5.51486e23i) q^{30} +6.36232e23 q^{31} +(1.99086e24 - 1.99086e24i) q^{32} +(-1.84019e24 - 1.84019e24i) q^{33} -4.45090e24i q^{34} +(-7.07292e23 + 6.57469e24i) q^{35} +3.81395e24 q^{36} +(1.46477e24 - 1.46477e24i) q^{37} +(3.91208e25 + 3.91208e25i) q^{38} +1.07597e25i q^{39} +(1.19679e26 + 1.28748e25i) q^{40} -4.24771e25 q^{41} +(1.76521e26 - 1.76521e26i) q^{42} +(-1.43757e26 - 1.43757e26i) q^{43} +5.94228e26i q^{44} +(3.40277e25 + 4.22316e25i) q^{45} -3.74670e26 q^{46} +(4.39170e26 - 4.39170e26i) q^{47} +(-1.68174e27 - 1.68174e27i) q^{48} -7.73623e26i q^{49} +(1.54267e27 + 2.40114e27i) q^{50} -1.70639e27 q^{51} +(1.73725e27 - 1.73725e27i) q^{52} +(1.94845e27 + 1.94845e27i) q^{53} +8.62681e27i q^{54} +(-6.57984e27 + 5.30165e27i) q^{55} -3.41862e28 q^{56} +(1.49982e28 - 1.49982e28i) q^{57} +(1.46957e28 + 1.46957e28i) q^{58} -2.69068e28i q^{59} +(8.23015e27 - 7.65041e28i) q^{60} +1.09426e28 q^{61} +(-5.51460e28 + 5.51460e28i) q^{62} +(-1.08917e28 - 1.08917e28i) q^{63} +1.27755e29i q^{64} +(3.47359e28 + 3.73682e27i) q^{65} +3.19001e29 q^{66} +(2.17368e28 - 2.17368e28i) q^{67} +(2.75511e29 + 2.75511e29i) q^{68} +1.43641e29i q^{69} +(-5.08562e29 - 6.31173e29i) q^{70} +5.41700e29 q^{71} +(-1.98261e29 + 1.98261e29i) q^{72} +(8.08294e28 + 8.08294e28i) q^{73} +2.53920e29i q^{74} +(9.20551e29 - 5.91430e29i) q^{75} -4.84316e30 q^{76} +(1.69697e30 - 1.69697e30i) q^{77} +(-9.32610e29 - 9.32610e29i) q^{78} -1.28870e30i q^{79} +(-6.01328e30 + 4.84515e30i) q^{80} +3.96597e30 q^{81} +(3.68175e30 - 3.68175e30i) q^{82} +(-3.95942e30 - 3.95942e30i) q^{83} +2.18533e31i q^{84} +(-5.92624e29 + 5.50878e30i) q^{85} +2.49206e31 q^{86} +(5.63403e30 - 5.63403e30i) q^{87} +(-3.08899e31 - 3.08899e31i) q^{88} -6.87798e30i q^{89} +(-6.60985e30 - 7.11074e29i) q^{90} -9.92227e30 q^{91} +(2.31920e31 - 2.31920e31i) q^{92} +(2.11419e31 + 2.11419e31i) q^{93} +7.61309e31i q^{94} +(-4.32102e31 - 5.36278e31i) q^{95} +1.32312e32 q^{96} +(-3.25578e31 + 3.25578e31i) q^{97} +(6.70545e31 + 6.70545e31i) q^{98} -1.96830e31i 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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −86676.0 + 86676.0i −1.32257 + 1.32257i −0.410881 + 0.911689i \(0.634779\pi\)
−0.911689 + 0.410881i \(0.865221\pi\)
\(3\) 3.32299e7 + 3.32299e7i 0.771950 + 0.771950i 0.978447 0.206498i \(-0.0662066\pi\)
−0.206498 + 0.978447i \(0.566207\pi\)
\(4\) 1.07305e10i 2.49838i
\(5\) 1.18818e11 9.57363e10i 0.778683 0.627418i
\(6\) −5.76047e12 −2.04192
\(7\) −3.06435e13 + 3.06435e13i −0.922083 + 0.922083i −0.997176 0.0750935i \(-0.976074\pi\)
0.0750935 + 0.997176i \(0.476074\pi\)
\(8\) 5.57804e14 + 5.57804e14i 1.98172 + 1.98172i
\(9\) 3.55432e14i 0.191812i
\(10\) −2.00059e15 + 1.85967e16i −0.200059 + 1.85967i
\(11\) −5.53776e16 −1.20518 −0.602589 0.798052i \(-0.705864\pi\)
−0.602589 + 0.798052i \(0.705864\pi\)
\(12\) 3.56573e17 3.56573e17i 1.92863 1.92863i
\(13\) 1.61898e17 + 1.61898e17i 0.243304 + 0.243304i 0.818215 0.574912i \(-0.194964\pi\)
−0.574912 + 0.818215i \(0.694964\pi\)
\(14\) 5.31211e18i 2.43904i
\(15\) 7.12960e18 + 7.66989e17i 1.08544 + 0.116769i
\(16\) −5.06094e19 −2.74354
\(17\) −2.56755e19 + 2.56755e19i −0.527638 + 0.527638i −0.919868 0.392229i \(-0.871704\pi\)
0.392229 + 0.919868i \(0.371704\pi\)
\(18\) −3.08074e19 3.08074e19i −0.253685 0.253685i
\(19\) 4.51346e20i 1.56478i −0.622792 0.782388i \(-0.714002\pi\)
0.622792 0.782388i \(-0.285998\pi\)
\(20\) −1.02730e21 1.27497e21i −1.56753 1.94545i
\(21\) −2.03656e21 −1.42360
\(22\) 4.79991e21 4.79991e21i 1.59393 1.59393i
\(23\) 2.16132e21 + 2.16132e21i 0.352431 + 0.352431i 0.861013 0.508582i \(-0.169830\pi\)
−0.508582 + 0.861013i \(0.669830\pi\)
\(24\) 3.70715e22i 3.05957i
\(25\) 4.95218e21 2.27503e22i 0.212694 0.977119i
\(26\) −2.80654e22 −0.643572
\(27\) 4.97647e22 4.97647e22i 0.623880 0.623880i
\(28\) 3.28820e23 + 3.28820e23i 2.30372 + 2.30372i
\(29\) 1.69547e23i 0.677520i −0.940873 0.338760i \(-0.889992\pi\)
0.940873 0.338760i \(-0.110008\pi\)
\(30\) −6.84445e23 + 5.51486e23i −1.59000 + 1.28113i
\(31\) 6.36232e23 0.874638 0.437319 0.899306i \(-0.355928\pi\)
0.437319 + 0.899306i \(0.355928\pi\)
\(32\) 1.99086e24 1.99086e24i 1.64680 1.64680i
\(33\) −1.84019e24 1.84019e24i −0.930337 0.930337i
\(34\) 4.45090e24i 1.39568i
\(35\) −7.07292e23 + 6.57469e24i −0.139479 + 1.29654i
\(36\) 3.81395e24 0.479221
\(37\) 1.46477e24 1.46477e24i 0.118725 0.118725i −0.645248 0.763973i \(-0.723246\pi\)
0.763973 + 0.645248i \(0.223246\pi\)
\(38\) 3.91208e25 + 3.91208e25i 2.06953 + 2.06953i
\(39\) 1.07597e25i 0.375636i
\(40\) 1.19679e26 + 1.28748e25i 2.78650 + 0.299766i
\(41\) −4.24771e25 −0.666214 −0.333107 0.942889i \(-0.608097\pi\)
−0.333107 + 0.942889i \(0.608097\pi\)
\(42\) 1.76521e26 1.76521e26i 1.88282 1.88282i
\(43\) −1.43757e26 1.43757e26i −1.05229 1.05229i −0.998555 0.0537314i \(-0.982889\pi\)
−0.0537314 0.998555i \(-0.517111\pi\)
\(44\) 5.94228e26i 3.01100i
\(45\) 3.40277e25 + 4.22316e25i 0.120346 + 0.149361i
\(46\) −3.74670e26 −0.932231
\(47\) 4.39170e26 4.39170e26i 0.774580 0.774580i −0.204323 0.978903i \(-0.565499\pi\)
0.978903 + 0.204323i \(0.0654993\pi\)
\(48\) −1.68174e27 1.68174e27i −2.11787 2.11787i
\(49\) 7.73623e26i 0.700474i
\(50\) 1.54267e27 + 2.40114e27i 1.01100 + 1.57361i
\(51\) −1.70639e27 −0.814621
\(52\) 1.73725e27 1.73725e27i 0.607866 0.607866i
\(53\) 1.94845e27 + 1.94845e27i 0.502662 + 0.502662i 0.912264 0.409602i \(-0.134333\pi\)
−0.409602 + 0.912264i \(0.634333\pi\)
\(54\) 8.62681e27i 1.65025i
\(55\) −6.57984e27 + 5.30165e27i −0.938452 + 0.756150i
\(56\) −3.41862e28 −3.65462
\(57\) 1.49982e28 1.49982e28i 1.20793 1.20793i
\(58\) 1.46957e28 + 1.46957e28i 0.896068 + 0.896068i
\(59\) 2.69068e28i 1.24804i −0.781407 0.624022i \(-0.785497\pi\)
0.781407 0.624022i \(-0.214503\pi\)
\(60\) 8.23015e27 7.65041e28i 0.291735 2.71184i
\(61\) 1.09426e28 0.297744 0.148872 0.988856i \(-0.452436\pi\)
0.148872 + 0.988856i \(0.452436\pi\)
\(62\) −5.51460e28 + 5.51460e28i −1.15677 + 1.15677i
\(63\) −1.08917e28 1.08917e28i −0.176867 0.176867i
\(64\) 1.27755e29i 1.61249i
\(65\) 3.47359e28 + 3.73682e27i 0.342109 + 0.0368034i
\(66\) 3.19001e29 2.46087
\(67\) 2.17368e28 2.17368e28i 0.131825 0.131825i −0.638116 0.769941i \(-0.720286\pi\)
0.769941 + 0.638116i \(0.220286\pi\)
\(68\) 2.75511e29 + 2.75511e29i 1.31824 + 1.31824i
\(69\) 1.43641e29i 0.544119i
\(70\) −5.08562e29 6.31173e29i −1.53030 1.89924i
\(71\) 5.41700e29 1.29905 0.649524 0.760341i \(-0.274968\pi\)
0.649524 + 0.760341i \(0.274968\pi\)
\(72\) −1.98261e29 + 1.98261e29i −0.380118 + 0.380118i
\(73\) 8.08294e28 + 8.08294e28i 0.124281 + 0.124281i 0.766511 0.642231i \(-0.221991\pi\)
−0.642231 + 0.766511i \(0.721991\pi\)
\(74\) 2.53920e29i 0.314043i
\(75\) 9.20551e29 5.91430e29i 0.918476 0.590097i
\(76\) −4.84316e30 −3.90941
\(77\) 1.69697e30 1.69697e30i 1.11127 1.11127i
\(78\) −9.32610e29 9.32610e29i −0.496805 0.496805i
\(79\) 1.28870e30i 0.559912i −0.960013 0.279956i \(-0.909680\pi\)
0.960013 0.279956i \(-0.0903199\pi\)
\(80\) −6.01328e30 + 4.84515e30i −2.13635 + 1.72134i
\(81\) 3.96597e30 1.15502
\(82\) 3.68175e30 3.68175e30i 0.881114 0.881114i
\(83\) −3.95942e30 3.95942e30i −0.780516 0.780516i 0.199402 0.979918i \(-0.436100\pi\)
−0.979918 + 0.199402i \(0.936100\pi\)
\(84\) 2.18533e31i 3.55671i
\(85\) −5.92624e29 + 5.50878e30i −0.0798135 + 0.741913i
\(86\) 2.49206e31 2.78345
\(87\) 5.63403e30 5.63403e30i 0.523012 0.523012i
\(88\) −3.08899e31 3.08899e31i −2.38832 2.38832i
\(89\) 6.87798e30i 0.443834i −0.975066 0.221917i \(-0.928769\pi\)
0.975066 0.221917i \(-0.0712314\pi\)
\(90\) −6.60985e30 7.11074e29i −0.356707 0.0383738i
\(91\) −9.92227e30 −0.448692
\(92\) 2.31920e31 2.31920e31i 0.880509 0.880509i
\(93\) 2.11419e31 + 2.11419e31i 0.675177 + 0.675177i
\(94\) 7.61309e31i 2.04887i
\(95\) −4.32102e31 5.36278e31i −0.981767 1.21846i
\(96\) 1.32312e32 2.54250
\(97\) −3.25578e31 + 3.25578e31i −0.530039 + 0.530039i −0.920584 0.390545i \(-0.872287\pi\)
0.390545 + 0.920584i \(0.372287\pi\)
\(98\) 6.70545e31 + 6.70545e31i 0.926426 + 0.926426i
\(99\) 1.96830e31i 0.231168i
\(100\) −2.44122e32 5.31392e31i −2.44122 0.531392i
\(101\) 1.95953e32 1.67113 0.835566 0.549389i \(-0.185140\pi\)
0.835566 + 0.549389i \(0.185140\pi\)
\(102\) 1.47903e32 1.47903e32i 1.07739 1.07739i
\(103\) −2.62815e31 2.62815e31i −0.163777 0.163777i 0.620460 0.784238i \(-0.286946\pi\)
−0.784238 + 0.620460i \(0.786946\pi\)
\(104\) 1.80615e32i 0.964318i
\(105\) −2.41979e32 + 1.94973e32i −1.10854 + 0.893194i
\(106\) −3.37768e32 −1.32961
\(107\) −3.82851e32 + 3.82851e32i −1.29685 + 1.29685i −0.366385 + 0.930463i \(0.619405\pi\)
−0.930463 + 0.366385i \(0.880595\pi\)
\(108\) −5.33999e32 5.33999e32i −1.55869 1.55869i
\(109\) 2.58662e32i 0.651491i 0.945457 + 0.325746i \(0.105615\pi\)
−0.945457 + 0.325746i \(0.894385\pi\)
\(110\) 1.10788e32 1.02984e33i 0.241107 2.24123i
\(111\) 9.73480e31 0.183299
\(112\) 1.55085e33 1.55085e33i 2.52977 2.52977i
\(113\) −3.18085e32 3.18085e32i −0.450078 0.450078i 0.445302 0.895380i \(-0.353096\pi\)
−0.895380 + 0.445302i \(0.853096\pi\)
\(114\) 2.59996e33i 3.19514i
\(115\) 4.63721e32 + 4.98861e31i 0.495554 + 0.0533107i
\(116\) −1.81932e33 −1.69271
\(117\) −5.75438e31 + 5.75438e31i −0.0466686 + 0.0466686i
\(118\) 2.33217e33 + 2.33217e33i 1.65063 + 1.65063i
\(119\) 1.57358e33i 0.973053i
\(120\) 3.54909e33 + 4.40475e33i 1.91963 + 2.38244i
\(121\) 9.55303e32 0.452455
\(122\) −9.48460e32 + 9.48460e32i −0.393788 + 0.393788i
\(123\) −1.41151e33 1.41151e33i −0.514283 0.514283i
\(124\) 6.82707e33i 2.18518i
\(125\) −1.58963e33 3.17724e33i −0.447440 0.894314i
\(126\) 1.88809e33 0.467837
\(127\) −2.69610e32 + 2.69610e32i −0.0588676 + 0.0588676i −0.735928 0.677060i \(-0.763254\pi\)
0.677060 + 0.735928i \(0.263254\pi\)
\(128\) −2.52256e33 2.52256e33i −0.485828 0.485828i
\(129\) 9.55407e33i 1.62462i
\(130\) −3.33466e33 + 2.68688e33i −0.501139 + 0.403789i
\(131\) 5.95457e33 0.791607 0.395803 0.918335i \(-0.370466\pi\)
0.395803 + 0.918335i \(0.370466\pi\)
\(132\) −1.97461e34 + 1.97461e34i −2.32434 + 2.32434i
\(133\) 1.38308e34 + 1.38308e34i 1.44285 + 1.44285i
\(134\) 3.76811e33i 0.348696i
\(135\) 1.14863e33 1.06772e34i 0.0943715 0.877238i
\(136\) −2.86438e34 −2.09126
\(137\) −1.77917e33 + 1.77917e33i −0.115528 + 0.115528i −0.762507 0.646979i \(-0.776032\pi\)
0.646979 + 0.762507i \(0.276032\pi\)
\(138\) −1.24502e34 1.24502e34i −0.719635 0.719635i
\(139\) 2.18631e34i 1.12584i −0.826513 0.562918i \(-0.809679\pi\)
0.826513 0.562918i \(-0.190321\pi\)
\(140\) 7.05495e34 + 7.58958e33i 3.23926 + 0.348473i
\(141\) 2.91871e34 1.19587
\(142\) −4.69523e34 + 4.69523e34i −1.71808 + 1.71808i
\(143\) −8.96554e33 8.96554e33i −0.293224 0.293224i
\(144\) 1.79882e34i 0.526244i
\(145\) −1.62318e34 2.01452e34i −0.425088 0.527574i
\(146\) −1.40119e34 −0.328740
\(147\) 2.57074e34 2.57074e34i 0.540731 0.540731i
\(148\) −1.57176e34 1.57176e34i −0.296619 0.296619i
\(149\) 1.48607e34i 0.251802i −0.992043 0.125901i \(-0.959818\pi\)
0.992043 0.125901i \(-0.0401822\pi\)
\(150\) −2.85269e34 + 1.31052e35i −0.434304 + 1.99519i
\(151\) −8.95001e34 −1.22516 −0.612580 0.790409i \(-0.709868\pi\)
−0.612580 + 0.790409i \(0.709868\pi\)
\(152\) 2.51763e35 2.51763e35i 3.10094 3.10094i
\(153\) −9.12590e33 9.12590e33i −0.101208 0.101208i
\(154\) 2.94172e35i 2.93948i
\(155\) 7.55956e34 6.09105e34i 0.681066 0.548763i
\(156\) 1.15457e35 0.938484
\(157\) −7.21862e34 + 7.21862e34i −0.529736 + 0.529736i −0.920494 0.390758i \(-0.872213\pi\)
0.390758 + 0.920494i \(0.372213\pi\)
\(158\) 1.11700e35 + 1.11700e35i 0.740523 + 0.740523i
\(159\) 1.29494e35i 0.776059i
\(160\) 4.59517e34 4.27148e35i 0.249105 2.31557i
\(161\) −1.32461e35 −0.649942
\(162\) −3.43755e35 + 3.43755e35i −1.52760 + 1.52760i
\(163\) −1.69172e35 1.69172e35i −0.681281 0.681281i 0.279008 0.960289i \(-0.409994\pi\)
−0.960289 + 0.279008i \(0.909994\pi\)
\(164\) 4.55800e35i 1.66446i
\(165\) −3.94821e35 4.24740e34i −1.30815 0.140728i
\(166\) 6.86373e35 2.06457
\(167\) 4.19852e35 4.19852e35i 1.14718 1.14718i 0.160079 0.987104i \(-0.448825\pi\)
0.987104 0.160079i \(-0.0511748\pi\)
\(168\) −1.13600e36 1.13600e36i −2.82118 2.82118i
\(169\) 3.90357e35i 0.881607i
\(170\) −4.26113e35 5.28845e35i −0.875673 1.08679i
\(171\) 1.60423e35 0.300143
\(172\) −1.54258e36 + 1.54258e36i −2.62902 + 2.62902i
\(173\) 5.15326e34 + 5.15326e34i 0.0800469 + 0.0800469i 0.745997 0.665950i \(-0.231973\pi\)
−0.665950 + 0.745997i \(0.731973\pi\)
\(174\) 9.76670e35i 1.38344i
\(175\) 5.45398e35 + 8.48902e35i 0.704863 + 1.09711i
\(176\) 2.80263e36 3.30645
\(177\) 8.94111e35 8.94111e35i 0.963427 0.963427i
\(178\) 5.96155e35 + 5.96155e35i 0.587002 + 0.587002i
\(179\) 3.86229e35i 0.347694i −0.984773 0.173847i \(-0.944380\pi\)
0.984773 0.173847i \(-0.0556197\pi\)
\(180\) 4.53165e35 3.65134e35i 0.373161 0.300671i
\(181\) −8.84555e35 −0.666603 −0.333302 0.942820i \(-0.608163\pi\)
−0.333302 + 0.942820i \(0.608163\pi\)
\(182\) 8.60022e35 8.60022e35i 0.593427 0.593427i
\(183\) 3.63622e35 + 3.63622e35i 0.229843 + 0.229843i
\(184\) 2.41119e36i 1.39684i
\(185\) 3.38087e34 3.14271e35i 0.0179589 0.166939i
\(186\) −3.66499e36 −1.78594
\(187\) 1.42185e36 1.42185e36i 0.635898 0.635898i
\(188\) −4.71250e36 4.71250e36i −1.93520 1.93520i
\(189\) 3.04993e36i 1.15054i
\(190\) 8.39353e36 + 9.02959e35i 2.90996 + 0.313048i
\(191\) 3.61819e36 1.15334 0.576670 0.816977i \(-0.304352\pi\)
0.576670 + 0.816977i \(0.304352\pi\)
\(192\) −4.24528e36 + 4.24528e36i −1.24476 + 1.24476i
\(193\) −3.74741e36 3.74741e36i −1.01115 1.01115i −0.999937 0.0112097i \(-0.996432\pi\)
−0.0112097 0.999937i \(-0.503568\pi\)
\(194\) 5.64397e36i 1.40203i
\(195\) 1.03010e36 + 1.27844e36i 0.235681 + 0.292502i
\(196\) −8.30134e36 −1.75005
\(197\) −4.47450e36 + 4.47450e36i −0.869531 + 0.869531i −0.992420 0.122890i \(-0.960784\pi\)
0.122890 + 0.992420i \(0.460784\pi\)
\(198\) 1.70604e36 + 1.70604e36i 0.305736 + 0.305736i
\(199\) 1.12924e37i 1.86697i −0.358610 0.933487i \(-0.616749\pi\)
0.358610 0.933487i \(-0.383251\pi\)
\(200\) 1.54526e37 9.92788e36i 2.35787 1.51487i
\(201\) 1.44462e36 0.203525
\(202\) −1.69845e37 + 1.69845e37i −2.21019 + 2.21019i
\(203\) 5.19552e36 + 5.19552e36i 0.624730 + 0.624730i
\(204\) 1.83104e37i 2.03523i
\(205\) −5.04703e36 + 4.06660e36i −0.518769 + 0.417994i
\(206\) 4.55594e36 0.433214
\(207\) −7.68204e35 + 7.68204e35i −0.0676006 + 0.0676006i
\(208\) −8.19357e36 8.19357e36i −0.667513 0.667513i
\(209\) 2.49945e37i 1.88583i
\(210\) 4.07433e36 3.78733e37i 0.284805 2.64743i
\(211\) −1.68200e37 −1.08970 −0.544849 0.838534i \(-0.683413\pi\)
−0.544849 + 0.838534i \(0.683413\pi\)
\(212\) 2.09078e37 2.09078e37i 1.25584 1.25584i
\(213\) 1.80006e37 + 1.80006e37i 1.00280 + 1.00280i
\(214\) 6.63679e37i 3.43035i
\(215\) −3.08437e37 3.31810e36i −1.47962 0.159175i
\(216\) 5.55179e37 2.47271
\(217\) −1.94964e37 + 1.94964e37i −0.806489 + 0.806489i
\(218\) −2.24198e37 2.24198e37i −0.861643 0.861643i
\(219\) 5.37190e36i 0.191877i
\(220\) 5.68892e37 + 7.06048e37i 1.88915 + 2.34461i
\(221\) −8.31364e36 −0.256753
\(222\) −8.43773e36 + 8.43773e36i −0.242425 + 0.242425i
\(223\) 1.11820e37 + 1.11820e37i 0.298980 + 0.298980i 0.840614 0.541634i \(-0.182194\pi\)
−0.541634 + 0.840614i \(0.682194\pi\)
\(224\) 1.22014e38i 3.03698i
\(225\) 8.08619e36 + 1.76016e36i 0.187423 + 0.0407974i
\(226\) 5.51406e37 1.19052
\(227\) 1.90311e37 1.90311e37i 0.382870 0.382870i −0.489265 0.872135i \(-0.662735\pi\)
0.872135 + 0.489265i \(0.162735\pi\)
\(228\) −1.60938e38 1.60938e38i −3.01787 3.01787i
\(229\) 6.59696e37i 1.15339i 0.816960 + 0.576695i \(0.195658\pi\)
−0.816960 + 0.576695i \(0.804342\pi\)
\(230\) −4.45174e37 + 3.58695e37i −0.725912 + 0.584898i
\(231\) 1.12780e38 1.71570
\(232\) 9.45741e37 9.45741e37i 1.34265 1.34265i
\(233\) −4.83253e37 4.83253e37i −0.640442 0.640442i 0.310222 0.950664i \(-0.399597\pi\)
−0.950664 + 0.310222i \(0.899597\pi\)
\(234\) 9.97533e36i 0.123445i
\(235\) 1.01366e37 9.42255e37i 0.117167 1.08914i
\(236\) −2.88723e38 −3.11809
\(237\) 4.28235e37 4.28235e37i 0.432224 0.432224i
\(238\) 1.36391e38 + 1.36391e38i 1.28693 + 1.28693i
\(239\) 9.02438e37i 0.796253i 0.917331 + 0.398127i \(0.130339\pi\)
−0.917331 + 0.398127i \(0.869661\pi\)
\(240\) −3.60825e38 3.88168e37i −2.97794 0.320361i
\(241\) −5.86486e37 −0.452882 −0.226441 0.974025i \(-0.572709\pi\)
−0.226441 + 0.974025i \(0.572709\pi\)
\(242\) −8.28018e37 + 8.28018e37i −0.598403 + 0.598403i
\(243\) 3.95739e37 + 3.95739e37i 0.267737 + 0.267737i
\(244\) 1.17419e38i 0.743879i
\(245\) −7.40638e37 9.19200e37i −0.439490 0.545447i
\(246\) 2.44688e38 1.36035
\(247\) 7.30721e37 7.30721e37i 0.380715 0.380715i
\(248\) 3.54893e38 + 3.54893e38i 1.73329 + 1.73329i
\(249\) 2.63142e38i 1.20504i
\(250\) 4.13173e38 + 1.37608e38i 1.77456 + 0.591022i
\(251\) 2.01611e38 0.812335 0.406168 0.913799i \(-0.366865\pi\)
0.406168 + 0.913799i \(0.366865\pi\)
\(252\) −1.16873e38 + 1.16873e38i −0.441881 + 0.441881i
\(253\) −1.19689e38 1.19689e38i −0.424743 0.424743i
\(254\) 4.67374e37i 0.155713i
\(255\) −2.02749e38 + 1.63363e38i −0.634331 + 0.511107i
\(256\) −1.11411e38 −0.327408
\(257\) 1.06669e38 1.06669e38i 0.294514 0.294514i −0.544346 0.838861i \(-0.683222\pi\)
0.838861 + 0.544346i \(0.183222\pi\)
\(258\) 8.28108e38 + 8.28108e38i 2.14868 + 2.14868i
\(259\) 8.97711e37i 0.218948i
\(260\) 4.00979e37 3.72733e38i 0.0919491 0.854721i
\(261\) 6.02624e37 0.129957
\(262\) −5.16118e38 + 5.16118e38i −1.04696 + 1.04696i
\(263\) −3.24189e38 3.24189e38i −0.618737 0.618737i 0.326470 0.945207i \(-0.394141\pi\)
−0.945207 + 0.326470i \(0.894141\pi\)
\(264\) 2.05293e39i 3.68733i
\(265\) 4.18048e38 + 4.49728e37i 0.706793 + 0.0760354i
\(266\) −2.39760e39 −3.81655
\(267\) 2.28555e38 2.28555e38i 0.342618 0.342618i
\(268\) −2.33246e38 2.33246e38i −0.329350 0.329350i
\(269\) 9.40374e38i 1.25102i 0.780217 + 0.625510i \(0.215109\pi\)
−0.780217 + 0.625510i \(0.784891\pi\)
\(270\) 8.25899e38 + 1.02502e39i 1.03540 + 1.28502i
\(271\) −1.17019e39 −1.38277 −0.691384 0.722487i \(-0.742999\pi\)
−0.691384 + 0.722487i \(0.742999\pi\)
\(272\) 1.29942e39 1.29942e39i 1.44760 1.44760i
\(273\) −3.29716e38 3.29716e38i −0.346368 0.346368i
\(274\) 3.08422e38i 0.305588i
\(275\) −2.74240e38 + 1.25986e39i −0.256335 + 1.17760i
\(276\) 1.54134e39 1.35942
\(277\) 5.47028e38 5.47028e38i 0.455338 0.455338i −0.441784 0.897122i \(-0.645654\pi\)
0.897122 + 0.441784i \(0.145654\pi\)
\(278\) 1.89501e39 + 1.89501e39i 1.48900 + 1.48900i
\(279\) 2.26137e38i 0.167766i
\(280\) −4.06192e39 + 3.27286e39i −2.84579 + 2.29297i
\(281\) 8.75207e38 0.579175 0.289587 0.957152i \(-0.406482\pi\)
0.289587 + 0.957152i \(0.406482\pi\)
\(282\) −2.52982e39 + 2.52982e39i −1.58163 + 1.58163i
\(283\) −7.09866e38 7.09866e38i −0.419366 0.419366i 0.465619 0.884985i \(-0.345832\pi\)
−0.884985 + 0.465619i \(0.845832\pi\)
\(284\) 5.81270e39i 3.24552i
\(285\) 3.46177e38 3.21792e39i 0.182718 1.69847i
\(286\) 1.55419e39 0.775619
\(287\) 1.30165e39 1.30165e39i 0.614304 0.614304i
\(288\) 7.07617e38 + 7.07617e38i 0.315877 + 0.315877i
\(289\) 1.04945e39i 0.443195i
\(290\) 3.15301e39 + 3.39195e38i 1.25996 + 0.135544i
\(291\) −2.16379e39 −0.818327
\(292\) 8.67338e38 8.67338e38i 0.310501 0.310501i
\(293\) 1.23887e38 + 1.23887e38i 0.0419897 + 0.0419897i 0.727790 0.685800i \(-0.240548\pi\)
−0.685800 + 0.727790i \(0.740548\pi\)
\(294\) 4.45643e39i 1.43031i
\(295\) −2.57596e39 3.19700e39i −0.783045 0.971831i
\(296\) 1.63410e39 0.470557
\(297\) −2.75585e39 + 2.75585e39i −0.751887 + 0.751887i
\(298\) 1.28807e39 + 1.28807e39i 0.333026 + 0.333026i
\(299\) 6.99829e38i 0.171496i
\(300\) −6.34633e39 9.87795e39i −1.47429 2.29471i
\(301\) 8.81045e39 1.94059
\(302\) 7.75751e39 7.75751e39i 1.62036 1.62036i
\(303\) 6.51151e39 + 6.51151e39i 1.29003 + 1.29003i
\(304\) 2.28423e40i 4.29302i
\(305\) 1.30017e39 1.04760e39i 0.231848 0.186810i
\(306\) 1.58199e39 0.267708
\(307\) 1.44230e38 1.44230e38i 0.0231655 0.0231655i −0.695429 0.718595i \(-0.744786\pi\)
0.718595 + 0.695429i \(0.244786\pi\)
\(308\) −1.82092e40 1.82092e40i −2.77639 2.77639i
\(309\) 1.74666e39i 0.252856i
\(310\) −1.27284e39 + 1.18318e40i −0.174979 + 1.62654i
\(311\) −3.54229e39 −0.462507 −0.231253 0.972894i \(-0.574283\pi\)
−0.231253 + 0.972894i \(0.574283\pi\)
\(312\) −6.00182e39 + 6.00182e39i −0.744405 + 0.744405i
\(313\) 2.68158e39 + 2.68158e39i 0.315995 + 0.315995i 0.847227 0.531231i \(-0.178271\pi\)
−0.531231 + 0.847227i \(0.678271\pi\)
\(314\) 1.25136e40i 1.40123i
\(315\) −2.33685e39 2.51394e38i −0.248692 0.0267538i
\(316\) −1.38284e40 −1.39888
\(317\) 5.96351e39 5.96351e39i 0.573527 0.573527i −0.359585 0.933112i \(-0.617082\pi\)
0.933112 + 0.359585i \(0.117082\pi\)
\(318\) −1.12240e40 1.12240e40i −1.02639 1.02639i
\(319\) 9.38911e39i 0.816533i
\(320\) 1.22308e40 + 1.51795e40i 1.01171 + 1.25562i
\(321\) −2.54442e40 −2.00220
\(322\) 1.14812e40 1.14812e40i 0.859594 0.859594i
\(323\) 1.15885e40 + 1.15885e40i 0.825636 + 0.825636i
\(324\) 4.25568e40i 2.88568i
\(325\) 4.48499e39 2.88149e39i 0.289486 0.185987i
\(326\) 2.93263e40 1.80208
\(327\) −8.59531e39 + 8.59531e39i −0.502918 + 0.502918i
\(328\) −2.36939e40 2.36939e40i −1.32025 1.32025i
\(329\) 2.69154e40i 1.42845i
\(330\) 3.79029e40 3.05400e40i 1.91624 1.54399i
\(331\) −1.21325e40 −0.584388 −0.292194 0.956359i \(-0.594385\pi\)
−0.292194 + 0.956359i \(0.594385\pi\)
\(332\) −4.24864e40 + 4.24864e40i −1.95003 + 1.95003i
\(333\) 5.20624e38 + 5.20624e38i 0.0227728 + 0.0227728i
\(334\) 7.27822e40i 3.03446i
\(335\) 5.01712e38 4.66371e39i 0.0199406 0.185359i
\(336\) 1.03069e41 3.90571
\(337\) −2.74022e40 + 2.74022e40i −0.990165 + 0.990165i −0.999952 0.00978662i \(-0.996885\pi\)
0.00978662 + 0.999952i \(0.496885\pi\)
\(338\) 3.38346e40 + 3.38346e40i 1.16599 + 1.16599i
\(339\) 2.11399e40i 0.694875i
\(340\) 5.91119e40 + 6.35914e39i 1.85358 + 0.199405i
\(341\) −3.52330e40 −1.05410
\(342\) −1.39048e40 + 1.39048e40i −0.396960 + 0.396960i
\(343\) −1.01370e40 1.01370e40i −0.276188 0.276188i
\(344\) 1.60377e41i 4.17067i
\(345\) 1.37517e40 + 1.70671e40i 0.341389 + 0.423696i
\(346\) −8.93327e39 −0.211735
\(347\) 3.03445e40 3.03445e40i 0.686766 0.686766i −0.274750 0.961516i \(-0.588595\pi\)
0.961516 + 0.274750i \(0.0885950\pi\)
\(348\) −6.04559e40 6.04559e40i −1.30668 1.30668i
\(349\) 6.34527e40i 1.30992i −0.755665 0.654958i \(-0.772686\pi\)
0.755665 0.654958i \(-0.227314\pi\)
\(350\) −1.20852e41 2.63065e40i −2.38323 0.518770i
\(351\) 1.61136e40 0.303585
\(352\) −1.10249e41 + 1.10249e41i −1.98469 + 1.98469i
\(353\) 2.28151e40 + 2.28151e40i 0.392489 + 0.392489i 0.875574 0.483085i \(-0.160484\pi\)
−0.483085 + 0.875574i \(0.660484\pi\)
\(354\) 1.54996e41i 2.54840i
\(355\) 6.43635e40 5.18603e40i 1.01155 0.815045i
\(356\) −7.38040e40 −1.10887
\(357\) 5.22898e40 5.22898e40i 0.751148 0.751148i
\(358\) 3.34768e40 + 3.34768e40i 0.459849 + 0.459849i
\(359\) 6.43148e40i 0.844889i 0.906389 + 0.422445i \(0.138828\pi\)
−0.906389 + 0.422445i \(0.861172\pi\)
\(360\) −4.57613e39 + 4.25378e40i −0.0574987 + 0.534484i
\(361\) −1.20515e41 −1.44852
\(362\) 7.66696e40 7.66696e40i 0.881630 0.881630i
\(363\) 3.17446e40 + 3.17446e40i 0.349272 + 0.349272i
\(364\) 1.06471e41i 1.12101i
\(365\) 1.73423e40 + 1.86564e39i 0.174751 + 0.0187994i
\(366\) −6.30345e40 −0.607968
\(367\) 1.05697e41 1.05697e41i 0.975904 0.975904i −0.0238129 0.999716i \(-0.507581\pi\)
0.999716 + 0.0238129i \(0.00758060\pi\)
\(368\) −1.09383e41 1.09383e41i −0.966909 0.966909i
\(369\) 1.50977e40i 0.127788i
\(370\) 2.43094e40 + 3.01701e40i 0.197036 + 0.244540i
\(371\) −1.19415e41 −0.926991
\(372\) 2.26863e41 2.26863e41i 1.68685 1.68685i
\(373\) 1.48816e41 + 1.48816e41i 1.06001 + 1.06001i 0.998081 + 0.0619275i \(0.0197248\pi\)
0.0619275 + 0.998081i \(0.480275\pi\)
\(374\) 2.46480e41i 1.68204i
\(375\) 5.27563e40 1.58403e41i 0.344964 1.03577i
\(376\) 4.89941e41 3.07000
\(377\) 2.74494e40 2.74494e40i 0.164843 0.164843i
\(378\) −2.64356e41 2.64356e41i −1.52167 1.52167i
\(379\) 5.82696e40i 0.321525i 0.986993 + 0.160762i \(0.0513953\pi\)
−0.986993 + 0.160762i \(0.948605\pi\)
\(380\) −5.75452e41 + 4.63666e41i −3.04419 + 2.45283i
\(381\) −1.79182e40 −0.0908856
\(382\) −3.13610e41 + 3.13610e41i −1.52537 + 1.52537i
\(383\) −1.79346e41 1.79346e41i −0.836587 0.836587i 0.151821 0.988408i \(-0.451486\pi\)
−0.988408 + 0.151821i \(0.951486\pi\)
\(384\) 1.67649e41i 0.750069i
\(385\) 3.91681e40 3.64091e41i 0.168097 1.56256i
\(386\) 6.49621e41 2.67463
\(387\) 5.10959e40 5.10959e40i 0.201841 0.201841i
\(388\) 3.49361e41 + 3.49361e41i 1.32424 + 1.32424i
\(389\) 1.82784e41i 0.664882i −0.943124 0.332441i \(-0.892128\pi\)
0.943124 0.332441i \(-0.107872\pi\)
\(390\) −2.00095e41 2.15258e40i −0.698558 0.0751495i
\(391\) −1.10986e41 −0.371913
\(392\) 4.31530e41 4.31530e41i 1.38814 1.38814i
\(393\) 1.97870e41 + 1.97870e41i 0.611081 + 0.611081i
\(394\) 7.75663e41i 2.30003i
\(395\) −1.23376e41 1.53121e41i −0.351299 0.435994i
\(396\) −2.11208e41 −0.577546
\(397\) −4.90080e41 + 4.90080e41i −1.28712 + 1.28712i −0.350592 + 0.936528i \(0.614020\pi\)
−0.936528 + 0.350592i \(0.885980\pi\)
\(398\) 9.78783e41 + 9.78783e41i 2.46921 + 2.46921i
\(399\) 9.19194e41i 2.22762i
\(400\) −2.50627e41 + 1.15138e42i −0.583536 + 2.68076i
\(401\) −8.88117e41 −1.98683 −0.993413 0.114586i \(-0.963446\pi\)
−0.993413 + 0.114586i \(0.963446\pi\)
\(402\) −1.25214e41 + 1.25214e41i −0.269176 + 0.269176i
\(403\) 1.03005e41 + 1.03005e41i 0.212803 + 0.212803i
\(404\) 2.10267e42i 4.17513i
\(405\) 4.71228e41 3.79688e41i 0.899395 0.724680i
\(406\) −9.00653e41 −1.65250
\(407\) −8.11152e40 + 8.11152e40i −0.143084 + 0.143084i
\(408\) −9.51831e41 9.51831e41i −1.61435 1.61435i
\(409\) 3.63748e41i 0.593236i 0.954996 + 0.296618i \(0.0958588\pi\)
−0.954996 + 0.296618i \(0.904141\pi\)
\(410\) 8.49794e40 7.89933e41i 0.133282 1.23894i
\(411\) −1.18243e41 −0.178364
\(412\) −2.82013e41 + 2.82013e41i −0.409179 + 0.409179i
\(413\) 8.24519e41 + 8.24519e41i 1.15080 + 1.15080i
\(414\) 1.33170e41i 0.178813i
\(415\) −8.49509e41 9.13884e40i −1.09748 0.118065i
\(416\) 6.44635e41 0.801347
\(417\) 7.26509e41 7.26509e41i 0.869088 0.869088i
\(418\) −2.16642e42 2.16642e42i −2.49415 2.49415i
\(419\) 1.93654e41i 0.214586i −0.994227 0.107293i \(-0.965782\pi\)
0.994227 0.107293i \(-0.0342183\pi\)
\(420\) 2.09215e42 + 2.59655e42i 2.23154 + 2.76955i
\(421\) 8.78917e41 0.902473 0.451237 0.892404i \(-0.350983\pi\)
0.451237 + 0.892404i \(0.350983\pi\)
\(422\) 1.45789e42 1.45789e42i 1.44120 1.44120i
\(423\) 1.56095e41 + 1.56095e41i 0.148574 + 0.148574i
\(424\) 2.17371e42i 1.99227i
\(425\) 4.56976e41 + 7.11276e41i 0.403340 + 0.627791i
\(426\) −3.12044e42 −2.65254
\(427\) −3.35320e41 + 3.35320e41i −0.274545 + 0.274545i
\(428\) 4.10817e42 + 4.10817e42i 3.24002 + 3.24002i
\(429\) 5.95848e41i 0.452709i
\(430\) 2.96100e42 2.38580e42i 2.16742 1.74638i
\(431\) −9.45849e41 −0.667092 −0.333546 0.942734i \(-0.608245\pi\)
−0.333546 + 0.942734i \(0.608245\pi\)
\(432\) −2.51856e42 + 2.51856e42i −1.71164 + 1.71164i
\(433\) −2.36559e41 2.36559e41i −0.154929 0.154929i 0.625386 0.780315i \(-0.284941\pi\)
−0.780315 + 0.625386i \(0.784941\pi\)
\(434\) 3.37974e42i 2.13328i
\(435\) 1.30041e41 1.20880e42i 0.0791136 0.735407i
\(436\) 2.77557e42 1.62768
\(437\) 9.75505e41 9.75505e41i 0.551476 0.551476i
\(438\) −4.65615e41 4.65615e41i −0.253770 0.253770i
\(439\) 3.18528e42i 1.67384i 0.547323 + 0.836921i \(0.315647\pi\)
−0.547323 + 0.836921i \(0.684353\pi\)
\(440\) −6.62754e42 7.12978e41i −3.35822 0.361271i
\(441\) 2.74970e41 0.134359
\(442\) 7.20593e41 7.20593e41i 0.339573 0.339573i
\(443\) 6.98555e41 + 6.98555e41i 0.317498 + 0.317498i 0.847805 0.530307i \(-0.177923\pi\)
−0.530307 + 0.847805i \(0.677923\pi\)
\(444\) 1.04459e42i 0.457951i
\(445\) −6.58472e41 8.17225e41i −0.278469 0.345606i
\(446\) −1.93842e42 −0.790844
\(447\) 4.93820e41 4.93820e41i 0.194378 0.194378i
\(448\) −3.91485e42 3.91485e42i −1.48685 1.48685i
\(449\) 5.89734e41i 0.216130i 0.994144 + 0.108065i \(0.0344654\pi\)
−0.994144 + 0.108065i \(0.965535\pi\)
\(450\) −8.53442e41 + 5.48314e41i −0.301838 + 0.193923i
\(451\) 2.35228e42 0.802906
\(452\) −3.41320e42 + 3.41320e42i −1.12447 + 1.12447i
\(453\) −2.97408e42 2.97408e42i −0.945761 0.945761i
\(454\) 3.29908e42i 1.01274i
\(455\) −1.17894e42 + 9.49921e41i −0.349389 + 0.281517i
\(456\) 1.67321e43 4.78754
\(457\) 9.39889e41 9.39889e41i 0.259667 0.259667i −0.565251 0.824919i \(-0.691221\pi\)
0.824919 + 0.565251i \(0.191221\pi\)
\(458\) −5.71797e42 5.71797e42i −1.52544 1.52544i
\(459\) 2.55547e42i 0.658366i
\(460\) 5.35302e41 4.97594e42i 0.133191 1.23808i
\(461\) −6.05305e42 −1.45465 −0.727327 0.686291i \(-0.759237\pi\)
−0.727327 + 0.686291i \(0.759237\pi\)
\(462\) −9.77531e42 + 9.77531e42i −2.26913 + 2.26913i
\(463\) −2.11416e42 2.11416e42i −0.474070 0.474070i 0.429159 0.903229i \(-0.358810\pi\)
−0.903229 + 0.429159i \(0.858810\pi\)
\(464\) 8.58067e42i 1.85880i
\(465\) 4.53608e42 + 4.87983e41i 0.949366 + 0.102131i
\(466\) 8.37729e42 1.69406
\(467\) 5.09474e42 5.09474e42i 0.995524 0.995524i −0.00446649 0.999990i \(-0.501422\pi\)
0.999990 + 0.00446649i \(0.00142173\pi\)
\(468\) 6.17473e41 + 6.17473e41i 0.116596 + 0.116596i
\(469\) 1.33218e42i 0.243107i
\(470\) 7.28849e42 + 9.04569e42i 1.28550 + 1.59542i
\(471\) −4.79748e42 −0.817859
\(472\) 1.50087e43 1.50087e43i 2.47327 2.47327i
\(473\) 7.96093e42 + 7.96093e42i 1.26819 + 1.26819i
\(474\) 7.42354e42i 1.14329i
\(475\) −1.02683e43 2.23515e42i −1.52897 0.332819i
\(476\) −1.68852e43 −2.43106
\(477\) −6.92542e41 + 6.92542e41i −0.0964166 + 0.0964166i
\(478\) −7.82197e42 7.82197e42i −1.05310 1.05310i
\(479\) 2.06787e42i 0.269250i −0.990897 0.134625i \(-0.957017\pi\)
0.990897 0.134625i \(-0.0429830\pi\)
\(480\) 1.57210e43 1.26671e43i 1.97980 1.59521i
\(481\) 4.74286e41 0.0577722
\(482\) 5.08343e42 5.08343e42i 0.598968 0.598968i
\(483\) −4.40167e42 4.40167e42i −0.501722 0.501722i
\(484\) 1.02509e43i 1.13041i
\(485\) −7.51477e41 + 6.98541e42i −0.0801766 + 0.745288i
\(486\) −6.86022e42 −0.708203
\(487\) −4.62925e42 + 4.62925e42i −0.462432 + 0.462432i −0.899452 0.437020i \(-0.856034\pi\)
0.437020 + 0.899452i \(0.356034\pi\)
\(488\) 6.10383e42 + 6.10383e42i 0.590045 + 0.590045i
\(489\) 1.12431e43i 1.05183i
\(490\) 1.43868e43 + 1.54770e42i 1.30265 + 0.140136i
\(491\) 1.32422e43 1.16053 0.580266 0.814427i \(-0.302949\pi\)
0.580266 + 0.814427i \(0.302949\pi\)
\(492\) −1.51462e43 + 1.51462e43i −1.28488 + 1.28488i
\(493\) 4.35321e42 + 4.35321e42i 0.357486 + 0.357486i
\(494\) 1.26672e43i 1.00705i
\(495\) −1.88438e42 2.33868e42i −0.145039 0.180007i
\(496\) −3.21993e43 −2.39960
\(497\) −1.65996e43 + 1.65996e43i −1.19783 + 1.19783i
\(498\) 2.28081e43 + 2.28081e43i 1.59375 + 1.59375i
\(499\) 2.82701e43i 1.91302i −0.291704 0.956509i \(-0.594222\pi\)
0.291704 0.956509i \(-0.405778\pi\)
\(500\) −3.40933e43 + 1.70574e43i −2.23434 + 1.11788i
\(501\) 2.79033e43 1.77113
\(502\) −1.74748e43 + 1.74748e43i −1.07437 + 1.07437i
\(503\) −4.98530e42 4.98530e42i −0.296895 0.296895i 0.542901 0.839797i \(-0.317326\pi\)
−0.839797 + 0.542901i \(0.817326\pi\)
\(504\) 1.21509e43i 0.701000i
\(505\) 2.32827e43 1.87599e43i 1.30128 1.04850i
\(506\) 2.07483e43 1.12350
\(507\) 1.29715e43 1.29715e43i 0.680556 0.680556i
\(508\) 2.89304e42 + 2.89304e42i 0.147074 + 0.147074i
\(509\) 5.33326e42i 0.262729i −0.991334 0.131365i \(-0.958064\pi\)
0.991334 0.131365i \(-0.0419359\pi\)
\(510\) 3.41379e42 3.17332e43i 0.162972 1.51492i
\(511\) −4.95379e42 −0.229194
\(512\) 2.04910e43 2.04910e43i 0.918848 0.918848i
\(513\) −2.24611e43 2.24611e43i −0.976232 0.976232i
\(514\) 1.84912e43i 0.779032i
\(515\) −5.63879e42 6.06610e41i −0.230288 0.0247739i
\(516\) −1.02520e44 −4.05894
\(517\) −2.43202e43 + 2.43202e43i −0.933507 + 0.933507i
\(518\) −7.78100e42 7.78100e42i −0.289574 0.289574i
\(519\) 3.42485e42i 0.123584i
\(520\) 1.72914e43 + 2.14602e43i 0.605030 + 0.750898i
\(521\) 3.76240e43 1.27662 0.638309 0.769780i \(-0.279634\pi\)
0.638309 + 0.769780i \(0.279634\pi\)
\(522\) −5.22331e42 + 5.22331e42i −0.171877 + 0.171877i
\(523\) 1.50259e43 + 1.50259e43i 0.479529 + 0.479529i 0.904981 0.425452i \(-0.139885\pi\)
−0.425452 + 0.904981i \(0.639885\pi\)
\(524\) 6.38954e43i 1.97774i
\(525\) −1.00854e43 + 4.63324e43i −0.302792 + 1.39103i
\(526\) 5.61988e43 1.63665
\(527\) −1.63356e43 + 1.63356e43i −0.461493 + 0.461493i
\(528\) 9.31310e43 + 9.31310e43i 2.55242 + 2.55242i
\(529\) 2.82663e43i 0.751584i
\(530\) −4.01328e43 + 3.23367e43i −1.03535 + 0.834221i
\(531\) 9.56354e42 0.239390
\(532\) 1.48411e44 1.48411e44i 3.60480 3.60480i
\(533\) −6.87697e42 6.87697e42i −0.162092 0.162092i
\(534\) 3.96204e43i 0.906272i
\(535\) −8.83669e42 + 8.21421e43i −0.196168 + 1.82350i
\(536\) 2.42497e43 0.522480
\(537\) 1.28344e43 1.28344e43i 0.268402 0.268402i
\(538\) −8.15078e43 8.15078e43i −1.65456 1.65456i
\(539\) 4.28414e43i 0.844196i
\(540\) −1.14572e44 1.23254e43i −2.19168 0.235776i
\(541\) −1.25940e43 −0.233887 −0.116944 0.993139i \(-0.537310\pi\)
−0.116944 + 0.993139i \(0.537310\pi\)
\(542\) 1.01428e44 1.01428e44i 1.82881 1.82881i
\(543\) −2.93937e43 2.93937e43i −0.514584 0.514584i
\(544\) 1.02233e44i 1.73783i
\(545\) 2.47633e43 + 3.07336e43i 0.408757 + 0.507305i
\(546\) 5.71569e43 0.916191
\(547\) −8.84166e43 + 8.84166e43i −1.37638 + 1.37638i −0.525713 + 0.850662i \(0.676201\pi\)
−0.850662 + 0.525713i \(0.823799\pi\)
\(548\) 1.90913e43 + 1.90913e43i 0.288634 + 0.288634i
\(549\) 3.88935e42i 0.0571110i
\(550\) −8.54294e43 1.32969e44i −1.21844 1.89648i
\(551\) −7.65244e43 −1.06017
\(552\) −8.01236e43 + 8.01236e43i −1.07829 + 1.07829i
\(553\) 3.94905e43 + 3.94905e43i 0.516286 + 0.516286i
\(554\) 9.48284e43i 1.20443i
\(555\) 1.15667e43 9.31974e42i 0.142732 0.115005i
\(556\) −2.34602e44 −2.81277
\(557\) 9.39482e43 9.39482e43i 1.09447 1.09447i 0.0994288 0.995045i \(-0.468298\pi\)
0.995045 0.0994288i \(-0.0317015\pi\)
\(558\) −1.96007e43 1.96007e43i −0.221883 0.221883i
\(559\) 4.65481e43i 0.512050i
\(560\) 3.57956e43 3.32741e44i 0.382667 3.55711i
\(561\) 9.44958e43 0.981763
\(562\) −7.58594e43 + 7.58594e43i −0.765999 + 0.765999i
\(563\) −1.25127e44 1.25127e44i −1.22805 1.22805i −0.964700 0.263352i \(-0.915172\pi\)
−0.263352 0.964700i \(-0.584828\pi\)
\(564\) 3.13192e44i 2.98775i
\(565\) −6.82463e43 7.34180e42i −0.632855 0.0680813i
\(566\) 1.23057e44 1.10928
\(567\) −1.21531e44 + 1.21531e44i −1.06502 + 1.06502i
\(568\) 3.02162e44 + 3.02162e44i 2.57435 + 2.57435i
\(569\) 1.10478e44i 0.915124i 0.889178 + 0.457562i \(0.151277\pi\)
−0.889178 + 0.457562i \(0.848723\pi\)
\(570\) 2.48911e44 + 3.08921e44i 2.00469 + 2.48800i
\(571\) 5.02914e43 0.393837 0.196918 0.980420i \(-0.436907\pi\)
0.196918 + 0.980420i \(0.436907\pi\)
\(572\) −9.62045e43 + 9.62045e43i −0.732587 + 0.732587i
\(573\) 1.20232e44 + 1.20232e44i 0.890321 + 0.890321i
\(574\) 2.25643e44i 1.62492i
\(575\) 5.98741e43 3.84676e43i 0.419328 0.269407i
\(576\) −4.54081e43 −0.309295
\(577\) 7.02072e43 7.02072e43i 0.465124 0.465124i −0.435207 0.900331i \(-0.643325\pi\)
0.900331 + 0.435207i \(0.143325\pi\)
\(578\) −9.09619e43 9.09619e43i −0.586157 0.586157i
\(579\) 2.49052e44i 1.56111i
\(580\) −2.16167e44 + 1.74175e44i −1.31808 + 1.06203i
\(581\) 2.42661e44 1.43940
\(582\) 1.87548e44 1.87548e44i 1.08229 1.08229i
\(583\) −1.07901e44 1.07901e44i −0.605797 0.605797i
\(584\) 9.01739e43i 0.492578i
\(585\) −1.32818e42 + 1.23463e43i −0.00705935 + 0.0656208i
\(586\) −2.14760e43 −0.111069
\(587\) −1.77933e44 + 1.77933e44i −0.895461 + 0.895461i −0.995031 0.0995692i \(-0.968254\pi\)
0.0995692 + 0.995031i \(0.468254\pi\)
\(588\) −2.75853e44 2.75853e44i −1.35095 1.35095i
\(589\) 2.87161e44i 1.36861i
\(590\) 5.00377e44 + 5.38296e43i 2.32095 + 0.249683i
\(591\) −2.97374e44 −1.34247
\(592\) −7.41308e43 + 7.41308e43i −0.325725 + 0.325725i
\(593\) 1.20920e44 + 1.20920e44i 0.517159 + 0.517159i 0.916711 0.399552i \(-0.130834\pi\)
−0.399552 + 0.916711i \(0.630834\pi\)
\(594\) 4.77732e44i 1.98885i
\(595\) −1.50648e44 1.86969e44i −0.610510 0.757700i
\(596\) −1.59462e44 −0.629098
\(597\) 3.75246e44 3.75246e44i 1.44121 1.44121i
\(598\) −6.06584e43 6.06584e43i −0.226815 0.226815i
\(599\) 1.71232e44i 0.623385i 0.950183 + 0.311692i \(0.100896\pi\)
−0.950183 + 0.311692i \(0.899104\pi\)
\(600\) 8.43389e44 + 1.83585e44i 2.98957 + 0.650754i
\(601\) 3.11518e44 1.07521 0.537603 0.843198i \(-0.319330\pi\)
0.537603 + 0.843198i \(0.319330\pi\)
\(602\) −7.63654e44 + 7.63654e44i −2.56657 + 2.56657i
\(603\) 7.72594e42 + 7.72594e42i 0.0252857 + 0.0252857i
\(604\) 9.60379e44i 3.06092i
\(605\) 1.13507e44 9.14572e43i 0.352319 0.283878i
\(606\) −1.12878e45 −3.41231
\(607\) 3.42745e44 3.42745e44i 1.00914 1.00914i 0.00918494 0.999958i \(-0.497076\pi\)
0.999958 0.00918494i \(-0.00292370\pi\)
\(608\) −8.98569e44 8.98569e44i −2.57688 2.57688i
\(609\) 3.45293e44i 0.964520i
\(610\) −2.18917e43 + 2.03496e44i −0.0595665 + 0.553705i
\(611\) 1.42202e44 0.376916
\(612\) −9.79252e43 + 9.79252e43i −0.252855 + 0.252855i
\(613\) 1.24312e44 + 1.24312e44i 0.312714 + 0.312714i 0.845960 0.533246i \(-0.179028\pi\)
−0.533246 + 0.845960i \(0.679028\pi\)
\(614\) 2.50026e43i 0.0612761i
\(615\) −3.02845e44 3.25795e43i −0.723134 0.0777933i
\(616\) 1.89315e45 4.40447
\(617\) −5.35295e44 + 5.35295e44i −1.21347 + 1.21347i −0.243599 + 0.969876i \(0.578328\pi\)
−0.969876 + 0.243599i \(0.921672\pi\)
\(618\) 1.51394e44 + 1.51394e44i 0.334420 + 0.334420i
\(619\) 4.74043e44i 1.02039i −0.860058 0.510196i \(-0.829573\pi\)
0.860058 0.510196i \(-0.170427\pi\)
\(620\) −6.53599e44 8.11177e44i −1.37102 1.70156i
\(621\) 2.15115e44 0.439750
\(622\) 3.07031e44 3.07031e44i 0.611698 0.611698i
\(623\) 2.10765e44 + 2.10765e44i 0.409252 + 0.409252i
\(624\) 5.44543e44i 1.03057i
\(625\) −4.93053e44 2.25327e44i −0.909522 0.415655i
\(626\) −4.64856e44 −0.835852
\(627\) −8.30564e44 + 8.30564e44i −1.45577 + 1.45577i
\(628\) 7.74592e44 + 7.74592e44i 1.32348 + 1.32348i
\(629\) 7.52172e43i 0.125287i
\(630\) 2.24339e44 1.80759e44i 0.364297 0.293529i
\(631\) −8.03532e44 −1.27214 −0.636068 0.771633i \(-0.719440\pi\)
−0.636068 + 0.771633i \(0.719440\pi\)
\(632\) 7.18845e44 7.18845e44i 1.10959 1.10959i
\(633\) −5.58927e44 5.58927e44i −0.841192 0.841192i
\(634\) 1.03379e45i 1.51706i
\(635\) −6.22294e42 + 5.78459e43i −0.00890463 + 0.0827738i
\(636\) 1.38953e45 1.93889
\(637\) 1.25248e44 1.25248e44i 0.170428 0.170428i
\(638\) −8.13810e44 8.13810e44i −1.07992 1.07992i
\(639\) 1.92537e44i 0.249173i
\(640\) −5.41226e44 5.82240e43i −0.683123 0.0734890i
\(641\) 1.17538e45 1.44693 0.723467 0.690359i \(-0.242547\pi\)
0.723467 + 0.690359i \(0.242547\pi\)
\(642\) 2.20540e45 2.20540e45i 2.64805 2.64805i
\(643\) 1.46375e44 + 1.46375e44i 0.171432 + 0.171432i 0.787608 0.616176i \(-0.211319\pi\)
−0.616176 + 0.787608i \(0.711319\pi\)
\(644\) 1.42137e45i 1.62380i
\(645\) −9.14672e44 1.13519e45i −1.01932 1.26507i
\(646\) −2.00890e45 −2.18392
\(647\) 8.61440e44 8.61440e44i 0.913601 0.913601i −0.0829525 0.996554i \(-0.526435\pi\)
0.996554 + 0.0829525i \(0.0264350\pi\)
\(648\) 2.21224e45 + 2.21224e45i 2.28892 + 2.28892i
\(649\) 1.49004e45i 1.50412i
\(650\) −1.38985e44 + 6.38496e44i −0.136884 + 0.628847i
\(651\) −1.29573e45 −1.24514
\(652\) −1.81529e45 + 1.81529e45i −1.70210 + 1.70210i
\(653\) 1.32500e45 + 1.32500e45i 1.21228 + 1.21228i 0.970274 + 0.242009i \(0.0778062\pi\)
0.242009 + 0.970274i \(0.422194\pi\)
\(654\) 1.49001e45i 1.33029i
\(655\) 7.07508e44 5.70069e44i 0.616411 0.496668i
\(656\) 2.14974e45 1.82778
\(657\) −2.87293e43 + 2.87293e43i −0.0238385 + 0.0238385i
\(658\) −2.33292e45 2.33292e45i −1.88923 1.88923i
\(659\) 1.35807e45i 1.07339i 0.843777 + 0.536693i \(0.180327\pi\)
−0.843777 + 0.536693i \(0.819673\pi\)
\(660\) −4.55766e44 + 4.23661e45i −0.351592 + 3.26825i
\(661\) −1.26466e45 −0.952251 −0.476125 0.879377i \(-0.657959\pi\)
−0.476125 + 0.879377i \(0.657959\pi\)
\(662\) 1.05159e45 1.05159e45i 0.772895 0.772895i
\(663\) −2.76262e44 2.76262e44i −0.198200 0.198200i
\(664\) 4.41716e45i 3.09353i
\(665\) 2.96746e45 + 3.19233e44i 2.02880 + 0.218254i
\(666\) −9.02512e43 −0.0602373
\(667\) 3.66446e44 3.66446e44i 0.238779 0.238779i
\(668\) −4.50521e45 4.50521e45i −2.86610 2.86610i
\(669\) 7.43154e44i 0.461595i
\(670\) 3.60745e44 + 4.47718e44i 0.218778 + 0.271523i
\(671\) −6.05975e44 −0.358835
\(672\) −4.05452e45 + 4.05452e45i −2.34440 + 2.34440i
\(673\) 1.15935e45 + 1.15935e45i 0.654595 + 0.654595i 0.954096 0.299501i \(-0.0968203\pi\)
−0.299501 + 0.954096i \(0.596820\pi\)
\(674\) 4.75023e45i 2.61913i
\(675\) −8.85719e44 1.37861e45i −0.476909 0.742301i
\(676\) −4.18872e45 −2.20259
\(677\) 6.38384e44 6.38384e44i 0.327841 0.327841i −0.523924 0.851765i \(-0.675532\pi\)
0.851765 + 0.523924i \(0.175532\pi\)
\(678\) 1.83232e45 + 1.83232e45i 0.919021 + 0.919021i
\(679\) 1.99537e45i 0.977480i
\(680\) −3.40339e45 + 2.74225e45i −1.62843 + 1.31209i
\(681\) 1.26480e45 0.591112
\(682\) 3.05386e45 3.05386e45i 1.39411 1.39411i
\(683\) 1.93850e45 + 1.93850e45i 0.864438 + 0.864438i 0.991850 0.127411i \(-0.0406669\pi\)
−0.127411 + 0.991850i \(0.540667\pi\)
\(684\) 1.72141e45i 0.749872i
\(685\) −4.10655e43 + 3.81727e44i −0.0174754 + 0.162444i
\(686\) 1.75727e45 0.730556
\(687\) −2.19216e45 + 2.19216e45i −0.890358 + 0.890358i
\(688\) 7.27546e45 + 7.27546e45i 2.88699 + 2.88699i
\(689\) 6.30902e44i 0.244599i
\(690\) −2.67125e45 2.87367e44i −1.01188 0.108856i
\(691\) −3.70189e45 −1.37017 −0.685085 0.728463i \(-0.740235\pi\)
−0.685085 + 0.728463i \(0.740235\pi\)
\(692\) 5.52969e44 5.52969e44i 0.199988 0.199988i
\(693\) 6.03156e44 + 6.03156e44i 0.213156 + 0.213156i
\(694\) 5.26028e45i 1.81659i
\(695\) −2.09309e45 2.59772e45i −0.706369 0.876669i
\(696\) 6.28537e45 2.07292
\(697\) 1.09062e45 1.09062e45i 0.351520 0.351520i
\(698\) 5.49983e45 + 5.49983e45i 1.73246 + 1.73246i
\(699\) 3.21169e45i 0.988778i
\(700\) 9.10912e45 5.85238e45i 2.74099 1.76102i
\(701\) 8.01374e44 0.235693 0.117847 0.993032i \(-0.462401\pi\)
0.117847 + 0.993032i \(0.462401\pi\)
\(702\) −1.39667e45 + 1.39667e45i −0.401512 + 0.401512i
\(703\) −6.61116e44 6.61116e44i −0.185777 0.185777i
\(704\) 7.07475e45i 1.94334i
\(705\) 3.46794e45 2.79427e45i 0.931207 0.750312i
\(706\) −3.95504e45 −1.03819
\(707\) −6.00470e45 + 6.00470e45i −1.54092 + 1.54092i
\(708\) −9.59423e45 9.59423e45i −2.40701 2.40701i
\(709\) 3.45331e45i 0.847023i −0.905891 0.423512i \(-0.860797\pi\)
0.905891 0.423512i \(-0.139203\pi\)
\(710\) −1.08372e45 + 1.00738e46i −0.259886 + 2.41580i
\(711\) 4.58047e44 0.107398
\(712\) 3.83656e45 3.83656e45i 0.879554 0.879554i
\(713\) 1.37510e45 + 1.37510e45i 0.308250 + 0.308250i
\(714\) 9.06453e45i 1.98689i
\(715\) −1.92359e45 2.06936e44i −0.412303 0.0443547i
\(716\) −4.14442e45 −0.868672
\(717\) −2.99879e45 + 2.99879e45i −0.614667 + 0.614667i
\(718\) −5.57455e45 5.57455e45i −1.11743 1.11743i
\(719\) 5.70040e45i 1.11749i 0.829340 + 0.558745i \(0.188717\pi\)
−0.829340 + 0.558745i \(0.811283\pi\)
\(720\) −1.72212e45 2.13731e45i −0.330175 0.409777i
\(721\) 1.61071e45 0.302033
\(722\) 1.04457e46 1.04457e46i 1.91577 1.91577i
\(723\) −1.94889e45 1.94889e45i −0.349602 0.349602i
\(724\) 9.49170e45i 1.66543i
\(725\) −3.85725e45 8.39627e44i −0.662018 0.144105i
\(726\) −5.50299e45 −0.923874
\(727\) −4.55645e43 + 4.55645e43i −0.00748300 + 0.00748300i −0.710838 0.703355i \(-0.751684\pi\)
0.703355 + 0.710838i \(0.251684\pi\)
\(728\) −5.53468e45 5.53468e45i −0.889182 0.889182i
\(729\) 4.71896e45i 0.741661i
\(730\) −1.66486e45 + 1.34145e45i −0.255984 + 0.206257i
\(731\) 7.38208e45 1.11045
\(732\) 3.90183e45 3.90183e45i 0.574237 0.574237i
\(733\) −1.81150e45 1.81150e45i −0.260841 0.260841i 0.564555 0.825395i \(-0.309048\pi\)
−0.825395 + 0.564555i \(0.809048\pi\)
\(734\) 1.83228e46i 2.58140i
\(735\) 5.93360e44 5.51562e45i 0.0817939 0.760322i
\(736\) 8.60581e45 1.16077
\(737\) −1.20373e45 + 1.20373e45i −0.158873 + 0.158873i
\(738\) 1.30861e45 + 1.30861e45i 0.169008 + 0.169008i
\(739\) 1.85724e45i 0.234724i −0.993089 0.117362i \(-0.962556\pi\)
0.993089 0.117362i \(-0.0374438\pi\)
\(740\) −3.37228e45 3.62783e44i −0.417077 0.0448683i
\(741\) 4.85636e45 0.587786
\(742\) 1.03504e46 1.03504e46i 1.22601 1.22601i
\(743\) 8.67590e45 + 8.67590e45i 1.00576 + 1.00576i 0.999983 + 0.00577436i \(0.00183805\pi\)
0.00577436 + 0.999983i \(0.498162\pi\)
\(744\) 2.35861e46i 2.67602i
\(745\) −1.42271e45 1.76571e45i −0.157985 0.196074i
\(746\) −2.57976e46 −2.80387
\(747\) 1.40730e45 1.40730e45i 0.149713 0.149713i
\(748\) −1.52571e46 1.52571e46i −1.58872 1.58872i
\(749\) 2.34638e46i 2.39160i
\(750\) 9.15699e45 + 1.83024e46i 0.913634 + 1.82611i
\(751\) 3.45624e45 0.337570 0.168785 0.985653i \(-0.446016\pi\)
0.168785 + 0.985653i \(0.446016\pi\)
\(752\) −2.22261e46 + 2.22261e46i −2.12509 + 2.12509i
\(753\) 6.69952e45 + 6.69952e45i 0.627082 + 0.627082i