Properties

Label 5.33.c.a.2.10
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 2.10
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.10

$q$-expansion

\(f(q)\) \(=\) \(q+(25524.4 + 25524.4i) q^{2} +(3.82280e7 - 3.82280e7i) q^{3} -2.99198e9i q^{4} +(-1.26030e11 - 8.60210e10i) q^{5} +1.95149e12 q^{6} +(-1.22489e13 - 1.22489e13i) q^{7} +(1.85995e14 - 1.85995e14i) q^{8} -1.06974e15i q^{9} +O(q^{10})\) \(q+(25524.4 + 25524.4i) q^{2} +(3.82280e7 - 3.82280e7i) q^{3} -2.99198e9i q^{4} +(-1.26030e11 - 8.60210e10i) q^{5} +1.95149e12 q^{6} +(-1.22489e13 - 1.22489e13i) q^{7} +(1.85995e14 - 1.85995e14i) q^{8} -1.06974e15i q^{9} +(-1.02119e15 - 5.41245e15i) q^{10} -6.03478e16 q^{11} +(-1.14377e17 - 1.14377e17i) q^{12} +(1.61811e17 - 1.61811e17i) q^{13} -6.25291e17i q^{14} +(-8.10627e18 + 1.52945e18i) q^{15} -3.35568e18 q^{16} +(3.87016e19 + 3.87016e19i) q^{17} +(2.73044e19 - 2.73044e19i) q^{18} +2.45952e20i q^{19} +(-2.57373e20 + 3.77078e20i) q^{20} -9.36503e20 q^{21} +(-1.54034e21 - 1.54034e21i) q^{22} +(-9.22936e19 + 9.22936e19i) q^{23} -1.42204e22i q^{24} +(8.48385e21 + 2.16824e22i) q^{25} +8.26026e21 q^{26} +(2.99433e22 + 2.99433e22i) q^{27} +(-3.66485e22 + 3.66485e22i) q^{28} -1.82230e23i q^{29} +(-2.45945e23 - 1.67869e23i) q^{30} -3.83738e23 q^{31} +(-8.84493e23 - 8.84493e23i) q^{32} +(-2.30698e24 + 2.30698e24i) q^{33} +1.97567e24i q^{34} +(4.90062e23 + 2.59739e24i) q^{35} -3.20064e24 q^{36} +(-1.31159e25 - 1.31159e25i) q^{37} +(-6.27776e24 + 6.27776e24i) q^{38} -1.23714e25i q^{39} +(-3.94403e25 + 7.44139e24i) q^{40} -1.00429e26 q^{41} +(-2.39036e25 - 2.39036e25i) q^{42} +(7.50109e25 - 7.50109e25i) q^{43} +1.80560e26i q^{44} +(-9.20200e25 + 1.34819e26i) q^{45} -4.71147e24 q^{46} +(-3.79204e24 - 3.79204e24i) q^{47} +(-1.28281e26 + 1.28281e26i) q^{48} -8.04356e26i q^{49} +(-3.36884e26 + 7.69974e26i) q^{50} +2.95897e27 q^{51} +(-4.84136e26 - 4.84136e26i) q^{52} +(5.28931e27 - 5.28931e27i) q^{53} +1.52857e27i q^{54} +(7.60561e27 + 5.19118e27i) q^{55} -4.55646e27 q^{56} +(9.40225e27 + 9.40225e27i) q^{57} +(4.65131e27 - 4.65131e27i) q^{58} -2.33154e28i q^{59} +(4.57609e27 + 2.42538e28i) q^{60} -6.44243e28 q^{61} +(-9.79466e27 - 9.79466e27i) q^{62} +(-1.31031e28 + 1.31031e28i) q^{63} -3.07397e28i q^{64} +(-3.43122e28 + 6.47385e27i) q^{65} -1.17768e29 q^{66} +(1.20462e29 + 1.20462e29i) q^{67} +(1.15794e29 - 1.15794e29i) q^{68} +7.05640e27i q^{69} +(-5.37881e28 + 7.88052e28i) q^{70} -7.66986e29 q^{71} +(-1.98966e29 - 1.98966e29i) q^{72} +(-5.26426e28 + 5.26426e28i) q^{73} -6.69550e29i q^{74} +(1.15319e30 + 5.04553e29i) q^{75} +7.35884e29 q^{76} +(7.39195e29 + 7.39195e29i) q^{77} +(3.15773e29 - 3.15773e29i) q^{78} +2.15502e30i q^{79} +(4.22914e29 + 2.88658e29i) q^{80} +4.27159e30 q^{81} +(-2.56338e30 - 2.56338e30i) q^{82} +(4.04853e30 - 4.04853e30i) q^{83} +2.80200e30i q^{84} +(-1.54840e30 - 8.20669e30i) q^{85} +3.82921e30 q^{86} +(-6.96629e30 - 6.96629e30i) q^{87} +(-1.12244e31 + 1.12244e31i) q^{88} +2.02304e31i q^{89} +(-5.78991e30 + 1.09241e30i) q^{90} -3.96402e30 q^{91} +(2.76141e29 + 2.76141e29i) q^{92} +(-1.46695e31 + 1.46695e31i) q^{93} -1.93579e29i q^{94} +(2.11570e31 - 3.09972e31i) q^{95} -6.76248e31 q^{96} +(-5.39171e31 - 5.39171e31i) q^{97} +(2.05307e31 - 2.05307e31i) q^{98} +6.45564e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 25524.4 + 25524.4i 0.389471 + 0.389471i 0.874499 0.485028i \(-0.161191\pi\)
−0.485028 + 0.874499i \(0.661191\pi\)
\(3\) 3.82280e7 3.82280e7i 0.888058 0.888058i −0.106278 0.994336i \(-0.533893\pi\)
0.994336 + 0.106278i \(0.0338934\pi\)
\(4\) 2.99198e9i 0.696625i
\(5\) −1.26030e11 8.60210e10i −0.825948 0.563747i
\(6\) 1.95149e12 0.691745
\(7\) −1.22489e13 1.22489e13i −0.368578 0.368578i 0.498381 0.866958i \(-0.333928\pi\)
−0.866958 + 0.498381i \(0.833928\pi\)
\(8\) 1.85995e14 1.85995e14i 0.660786 0.660786i
\(9\) 1.06974e15i 0.577295i
\(10\) −1.02119e15 5.41245e15i −0.102119 0.541245i
\(11\) −6.03478e16 −1.31334 −0.656672 0.754176i \(-0.728036\pi\)
−0.656672 + 0.754176i \(0.728036\pi\)
\(12\) −1.14377e17 1.14377e17i −0.618644 0.618644i
\(13\) 1.61811e17 1.61811e17i 0.243173 0.243173i −0.574989 0.818161i \(-0.694993\pi\)
0.818161 + 0.574989i \(0.194993\pi\)
\(14\) 6.25291e17i 0.287100i
\(15\) −8.10627e18 + 1.52945e18i −1.23413 + 0.232849i
\(16\) −3.35568e18 −0.181912
\(17\) 3.87016e19 + 3.87016e19i 0.795328 + 0.795328i 0.982355 0.187027i \(-0.0598852\pi\)
−0.187027 + 0.982355i \(0.559885\pi\)
\(18\) 2.73044e19 2.73044e19i 0.224839 0.224839i
\(19\) 2.45952e20i 0.852693i 0.904560 + 0.426346i \(0.140200\pi\)
−0.904560 + 0.426346i \(0.859800\pi\)
\(20\) −2.57373e20 + 3.77078e20i −0.392720 + 0.575376i
\(21\) −9.36503e20 −0.654637
\(22\) −1.54034e21 1.54034e21i −0.511509 0.511509i
\(23\) −9.22936e19 + 9.22936e19i −0.0150496 + 0.0150496i −0.714592 0.699542i \(-0.753387\pi\)
0.699542 + 0.714592i \(0.253387\pi\)
\(24\) 1.42204e22i 1.17363i
\(25\) 8.48385e21 + 2.16824e22i 0.364379 + 0.931251i
\(26\) 8.26026e21 0.189417
\(27\) 2.99433e22 + 2.99433e22i 0.375387 + 0.375387i
\(28\) −3.66485e22 + 3.66485e22i −0.256760 + 0.256760i
\(29\) 1.82230e23i 0.728202i −0.931359 0.364101i \(-0.881376\pi\)
0.931359 0.364101i \(-0.118624\pi\)
\(30\) −2.45945e23 1.67869e23i −0.571345 0.389969i
\(31\) −3.83738e23 −0.527530 −0.263765 0.964587i \(-0.584964\pi\)
−0.263765 + 0.964587i \(0.584964\pi\)
\(32\) −8.84493e23 8.84493e23i −0.731635 0.731635i
\(33\) −2.30698e24 + 2.30698e24i −1.16633 + 1.16633i
\(34\) 1.97567e24i 0.619514i
\(35\) 4.90062e23 + 2.59739e24i 0.0966413 + 0.512210i
\(36\) −3.20064e24 −0.402158
\(37\) −1.31159e25 1.31159e25i −1.06309 1.06309i −0.997871 0.0652199i \(-0.979225\pi\)
−0.0652199 0.997871i \(-0.520775\pi\)
\(38\) −6.27776e24 + 6.27776e24i −0.332099 + 0.332099i
\(39\) 1.23714e25i 0.431903i
\(40\) −3.94403e25 + 7.44139e24i −0.918290 + 0.173258i
\(41\) −1.00429e26 −1.57513 −0.787567 0.616230i \(-0.788659\pi\)
−0.787567 + 0.616230i \(0.788659\pi\)
\(42\) −2.39036e25 2.39036e25i −0.254962 0.254962i
\(43\) 7.50109e25 7.50109e25i 0.549072 0.549072i −0.377101 0.926172i \(-0.623079\pi\)
0.926172 + 0.377101i \(0.123079\pi\)
\(44\) 1.80560e26i 0.914909i
\(45\) −9.20200e25 + 1.34819e26i −0.325448 + 0.476815i
\(46\) −4.71147e24 −0.0117228
\(47\) −3.79204e24 3.79204e24i −0.00668817 0.00668817i 0.703755 0.710443i \(-0.251505\pi\)
−0.710443 + 0.703755i \(0.751505\pi\)
\(48\) −1.28281e26 + 1.28281e26i −0.161548 + 0.161548i
\(49\) 8.04356e26i 0.728301i
\(50\) −3.36884e26 + 7.69974e26i −0.220780 + 0.504610i
\(51\) 2.95897e27 1.41259
\(52\) −4.84136e26 4.84136e26i −0.169400 0.169400i
\(53\) 5.28931e27 5.28931e27i 1.36454 1.36454i 0.496500 0.868037i \(-0.334618\pi\)
0.868037 0.496500i \(-0.165382\pi\)
\(54\) 1.52857e27i 0.292404i
\(55\) 7.60561e27 + 5.19118e27i 1.08475 + 0.740394i
\(56\) −4.55646e27 −0.487102
\(57\) 9.40225e27 + 9.40225e27i 0.757241 + 0.757241i
\(58\) 4.65131e27 4.65131e27i 0.283614 0.283614i
\(59\) 2.33154e28i 1.08146i −0.841197 0.540729i \(-0.818148\pi\)
0.841197 0.540729i \(-0.181852\pi\)
\(60\) 4.57609e27 + 2.42538e28i 0.162209 + 0.859726i
\(61\) −6.44243e28 −1.75296 −0.876481 0.481437i \(-0.840115\pi\)
−0.876481 + 0.481437i \(0.840115\pi\)
\(62\) −9.79466e27 9.79466e27i −0.205458 0.205458i
\(63\) −1.31031e28 + 1.31031e28i −0.212778 + 0.212778i
\(64\) 3.07397e28i 0.387989i
\(65\) −3.43122e28 + 6.47385e27i −0.337936 + 0.0637601i
\(66\) −1.17768e29 −0.908500
\(67\) 1.20462e29 + 1.20462e29i 0.730555 + 0.730555i 0.970730 0.240175i \(-0.0772048\pi\)
−0.240175 + 0.970730i \(0.577205\pi\)
\(68\) 1.15794e29 1.15794e29i 0.554045 0.554045i
\(69\) 7.05640e27i 0.0267299i
\(70\) −5.37881e28 + 7.88052e28i −0.161852 + 0.237130i
\(71\) −7.66986e29 −1.83931 −0.919653 0.392733i \(-0.871530\pi\)
−0.919653 + 0.392733i \(0.871530\pi\)
\(72\) −1.98966e29 1.98966e29i −0.381468 0.381468i
\(73\) −5.26426e28 + 5.26426e28i −0.0809416 + 0.0809416i −0.746418 0.665477i \(-0.768228\pi\)
0.665477 + 0.746418i \(0.268228\pi\)
\(74\) 6.69550e29i 0.828086i
\(75\) 1.15319e30 + 5.04553e29i 1.15059 + 0.503415i
\(76\) 7.35884e29 0.594007
\(77\) 7.39195e29 + 7.39195e29i 0.484069 + 0.484069i
\(78\) 3.15773e29 3.15773e29i 0.168214 0.168214i
\(79\) 2.15502e30i 0.936308i 0.883647 + 0.468154i \(0.155081\pi\)
−0.883647 + 0.468154i \(0.844919\pi\)
\(80\) 4.22914e29 + 2.88658e29i 0.150249 + 0.102552i
\(81\) 4.27159e30 1.24403
\(82\) −2.56338e30 2.56338e30i −0.613468 0.613468i
\(83\) 4.04853e30 4.04853e30i 0.798084 0.798084i −0.184710 0.982793i \(-0.559134\pi\)
0.982793 + 0.184710i \(0.0591344\pi\)
\(84\) 2.80200e30i 0.456036i
\(85\) −1.54840e30 8.20669e30i −0.208535 1.10526i
\(86\) 3.82921e30 0.427695
\(87\) −6.96629e30 6.96629e30i −0.646686 0.646686i
\(88\) −1.12244e31 + 1.12244e31i −0.867839 + 0.867839i
\(89\) 2.02304e31i 1.30547i 0.757588 + 0.652733i \(0.226378\pi\)
−0.757588 + 0.652733i \(0.773622\pi\)
\(90\) −5.78991e30 + 1.09241e30i −0.312458 + 0.0589530i
\(91\) −3.96402e30 −0.179256
\(92\) 2.76141e29 + 2.76141e29i 0.0104840 + 0.0104840i
\(93\) −1.46695e31 + 1.46695e31i −0.468477 + 0.468477i
\(94\) 1.93579e29i 0.00520969i
\(95\) 2.11570e31 3.09972e31i 0.480703 0.704280i
\(96\) −6.76248e31 −1.29947
\(97\) −5.39171e31 5.39171e31i −0.877766 0.877766i 0.115537 0.993303i \(-0.463141\pi\)
−0.993303 + 0.115537i \(0.963141\pi\)
\(98\) 2.05307e31 2.05307e31i 0.283652 0.283652i
\(99\) 6.45564e31i 0.758187i
\(100\) 6.48733e31 2.53835e31i 0.648733 0.253835i
\(101\) 2.58425e31 0.220390 0.110195 0.993910i \(-0.464852\pi\)
0.110195 + 0.993910i \(0.464852\pi\)
\(102\) 7.55258e31 + 7.55258e31i 0.550164 + 0.550164i
\(103\) 2.27845e31 2.27845e31i 0.141985 0.141985i −0.632541 0.774527i \(-0.717988\pi\)
0.774527 + 0.632541i \(0.217988\pi\)
\(104\) 6.01921e31i 0.321370i
\(105\) 1.18027e32 + 8.05589e31i 0.540696 + 0.369049i
\(106\) 2.70013e32 1.06289
\(107\) 6.98821e31 + 6.98821e31i 0.236715 + 0.236715i 0.815488 0.578773i \(-0.196468\pi\)
−0.578773 + 0.815488i \(0.696468\pi\)
\(108\) 8.95897e31 8.95897e31i 0.261504 0.261504i
\(109\) 1.90698e32i 0.480312i −0.970734 0.240156i \(-0.922801\pi\)
0.970734 0.240156i \(-0.0771985\pi\)
\(110\) 6.16269e31 + 3.26630e32i 0.134118 + 0.710842i
\(111\) −1.00279e33 −1.88817
\(112\) 4.11034e31 + 4.11034e31i 0.0670485 + 0.0670485i
\(113\) 5.72067e32 5.72067e32i 0.809453 0.809453i −0.175098 0.984551i \(-0.556024\pi\)
0.984551 + 0.175098i \(0.0560242\pi\)
\(114\) 4.79973e32i 0.589846i
\(115\) 1.95709e31 3.69254e30i 0.0209144 0.00394603i
\(116\) −5.45229e32 −0.507284
\(117\) −1.73096e32 1.73096e32i −0.140382 0.140382i
\(118\) 5.95110e32 5.95110e32i 0.421197 0.421197i
\(119\) 9.48105e32i 0.586280i
\(120\) −1.22325e33 + 1.79219e33i −0.661632 + 0.969359i
\(121\) 1.53048e33 0.724873
\(122\) −1.64439e33 1.64439e33i −0.682727 0.682727i
\(123\) −3.83920e33 + 3.83920e33i −1.39881 + 1.39881i
\(124\) 1.14814e33i 0.367491i
\(125\) 7.95922e32 3.46241e33i 0.224032 0.974582i
\(126\) −6.68898e32 −0.165742
\(127\) −3.47065e32 3.47065e32i −0.0757795 0.0757795i 0.668201 0.743981i \(-0.267065\pi\)
−0.743981 + 0.668201i \(0.767065\pi\)
\(128\) −3.01426e33 + 3.01426e33i −0.580525 + 0.580525i
\(129\) 5.73503e33i 0.975215i
\(130\) −1.04104e33 7.10555e32i −0.156449 0.106784i
\(131\) 9.01964e33 1.19908 0.599540 0.800344i \(-0.295350\pi\)
0.599540 + 0.800344i \(0.295350\pi\)
\(132\) 6.90243e33 + 6.90243e33i 0.812492 + 0.812492i
\(133\) 3.01264e33 3.01264e33i 0.314283 0.314283i
\(134\) 6.14942e33i 0.569059i
\(135\) −1.19799e33 6.34949e33i −0.0984267 0.521673i
\(136\) 1.43966e34 1.05108
\(137\) 8.97738e33 + 8.97738e33i 0.582935 + 0.582935i 0.935709 0.352773i \(-0.114761\pi\)
−0.352773 + 0.935709i \(0.614761\pi\)
\(138\) −1.80110e32 + 1.80110e32i −0.0104105 + 0.0104105i
\(139\) 1.59798e34i 0.822876i −0.911438 0.411438i \(-0.865027\pi\)
0.911438 0.411438i \(-0.134973\pi\)
\(140\) 7.77134e33 1.46626e33i 0.356818 0.0673227i
\(141\) −2.89924e32 −0.0118790
\(142\) −1.95768e34 1.95768e34i −0.716356 0.716356i
\(143\) −9.76496e33 + 9.76496e33i −0.319370 + 0.319370i
\(144\) 3.58970e33i 0.105017i
\(145\) −1.56756e34 + 2.29664e34i −0.410522 + 0.601457i
\(146\) −2.68734e33 −0.0630488
\(147\) −3.07489e34 3.07489e34i −0.646774 0.646774i
\(148\) −3.92425e34 + 3.92425e34i −0.740576 + 0.740576i
\(149\) 2.71186e34i 0.459502i −0.973249 0.229751i \(-0.926209\pi\)
0.973249 0.229751i \(-0.0737912\pi\)
\(150\) 1.65562e34 + 4.23129e34i 0.252057 + 0.644188i
\(151\) −6.27427e34 −0.858879 −0.429440 0.903096i \(-0.641289\pi\)
−0.429440 + 0.903096i \(0.641289\pi\)
\(152\) 4.57458e34 + 4.57458e34i 0.563447 + 0.563447i
\(153\) 4.14006e34 4.14006e34i 0.459138 0.459138i
\(154\) 3.77350e34i 0.377062i
\(155\) 4.83623e34 + 3.30095e34i 0.435712 + 0.297394i
\(156\) −3.70151e34 −0.300875
\(157\) −1.47429e35 1.47429e35i −1.08190 1.08190i −0.996332 0.0855710i \(-0.972729\pi\)
−0.0855710 0.996332i \(-0.527271\pi\)
\(158\) −5.50056e34 + 5.50056e34i −0.364665 + 0.364665i
\(159\) 4.04400e35i 2.42358i
\(160\) 3.53873e34 + 1.87557e35i 0.191835 + 1.01675i
\(161\) 2.26099e33 0.0110939
\(162\) 1.09030e35 + 1.09030e35i 0.484512 + 0.484512i
\(163\) 9.35744e34 9.35744e34i 0.376839 0.376839i −0.493122 0.869960i \(-0.664144\pi\)
0.869960 + 0.493122i \(0.164144\pi\)
\(164\) 3.00482e35i 1.09728i
\(165\) 4.89196e35 9.22990e34i 1.62084 0.305811i
\(166\) 2.06672e35 0.621660
\(167\) −1.02297e34 1.02297e34i −0.0279511 0.0279511i 0.692993 0.720944i \(-0.256292\pi\)
−0.720944 + 0.692993i \(0.756292\pi\)
\(168\) −1.74185e35 + 1.74185e35i −0.432575 + 0.432575i
\(169\) 3.90413e35i 0.881734i
\(170\) 1.69949e35 2.48992e35i 0.349249 0.511686i
\(171\) 2.63104e35 0.492255
\(172\) −2.24431e35 2.24431e35i −0.382497 0.382497i
\(173\) −5.46385e35 + 5.46385e35i −0.848713 + 0.848713i −0.989973 0.141259i \(-0.954885\pi\)
0.141259 + 0.989973i \(0.454885\pi\)
\(174\) 3.55620e35i 0.503731i
\(175\) 1.61667e35 3.69503e35i 0.208936 0.477540i
\(176\) 2.02508e35 0.238912
\(177\) −8.91300e35 8.91300e35i −0.960398 0.960398i
\(178\) −5.16369e35 + 5.16369e35i −0.508441 + 0.508441i
\(179\) 1.42175e36i 1.27990i −0.768418 0.639948i \(-0.778956\pi\)
0.768418 0.639948i \(-0.221044\pi\)
\(180\) 4.03375e35 + 2.75322e35i 0.332161 + 0.226715i
\(181\) 1.21808e36 0.917952 0.458976 0.888449i \(-0.348216\pi\)
0.458976 + 0.888449i \(0.348216\pi\)
\(182\) −1.01179e35 1.01179e35i −0.0698150 0.0698150i
\(183\) −2.46281e36 + 2.46281e36i −1.55673 + 1.55673i
\(184\) 3.43322e34i 0.0198892i
\(185\) 5.24749e35 + 2.78123e36i 0.278743 + 1.47737i
\(186\) −7.48860e35 −0.364917
\(187\) −2.33556e36 2.33556e36i −1.04454 1.04454i
\(188\) −1.13457e34 + 1.13457e34i −0.00465915 + 0.00465915i
\(189\) 7.33545e35i 0.276718i
\(190\) 1.33120e36 2.51165e35i 0.461516 0.0870765i
\(191\) 3.06927e36 0.978366 0.489183 0.872181i \(-0.337295\pi\)
0.489183 + 0.872181i \(0.337295\pi\)
\(192\) −1.17512e36 1.17512e36i −0.344557 0.344557i
\(193\) 1.46007e34 1.46007e34i 0.00393965 0.00393965i −0.705134 0.709074i \(-0.749113\pi\)
0.709074 + 0.705134i \(0.249113\pi\)
\(194\) 2.75240e36i 0.683728i
\(195\) −1.06420e36 + 1.55917e36i −0.243484 + 0.356730i
\(196\) −2.40662e36 −0.507353
\(197\) 4.81103e36 + 4.81103e36i 0.934929 + 0.934929i 0.998009 0.0630793i \(-0.0200921\pi\)
−0.0630793 + 0.998009i \(0.520092\pi\)
\(198\) −1.64776e36 + 1.64776e36i −0.295292 + 0.295292i
\(199\) 7.23484e36i 1.19613i −0.801447 0.598066i \(-0.795936\pi\)
0.801447 0.598066i \(-0.204064\pi\)
\(200\) 5.61076e36 + 2.45485e36i 0.856134 + 0.374581i
\(201\) 9.21003e36 1.29755
\(202\) 6.59613e35 + 6.59613e35i 0.0858356 + 0.0858356i
\(203\) −2.23212e36 + 2.23212e36i −0.268399 + 0.268399i
\(204\) 8.85318e36i 0.984049i
\(205\) 1.26570e37 + 8.63900e36i 1.30098 + 0.887977i
\(206\) 1.16312e36 0.110598
\(207\) 9.87301e34 + 9.87301e34i 0.00868808 + 0.00868808i
\(208\) −5.42986e35 + 5.42986e35i −0.0442360 + 0.0442360i
\(209\) 1.48427e37i 1.11988i
\(210\) 9.56352e35 + 5.06878e36i 0.0668511 + 0.354319i
\(211\) −1.91789e37 −1.24253 −0.621263 0.783602i \(-0.713380\pi\)
−0.621263 + 0.783602i \(0.713380\pi\)
\(212\) −1.58255e37 1.58255e37i −0.950571 0.950571i
\(213\) −2.93203e37 + 2.93203e37i −1.63341 + 1.63341i
\(214\) 3.56739e36i 0.184387i
\(215\) −1.59061e37 + 3.00108e36i −0.763042 + 0.143967i
\(216\) 1.11386e37 0.496101
\(217\) 4.70037e36 + 4.70037e36i 0.194436 + 0.194436i
\(218\) 4.86745e36 4.86745e36i 0.187067 0.187067i
\(219\) 4.02485e36i 0.143762i
\(220\) 1.55319e37 2.27558e37i 0.515777 0.755666i
\(221\) 1.25247e37 0.386804
\(222\) −2.55955e37 2.55955e37i −0.735388 0.735388i
\(223\) −2.91044e37 + 2.91044e37i −0.778180 + 0.778180i −0.979521 0.201341i \(-0.935470\pi\)
0.201341 + 0.979521i \(0.435470\pi\)
\(224\) 2.16681e37i 0.539328i
\(225\) 2.31945e37 9.07551e36i 0.537606 0.210354i
\(226\) 2.92033e37 0.630517
\(227\) −1.82430e37 1.82430e37i −0.367014 0.367014i 0.499373 0.866387i \(-0.333564\pi\)
−0.866387 + 0.499373i \(0.833564\pi\)
\(228\) 2.81314e37 2.81314e37i 0.527513 0.527513i
\(229\) 5.31018e37i 0.928414i 0.885727 + 0.464207i \(0.153661\pi\)
−0.885727 + 0.464207i \(0.846339\pi\)
\(230\) 5.93785e35 + 4.05285e35i 0.00968241 + 0.00660869i
\(231\) 5.65159e37 0.859763
\(232\) −3.38938e37 3.38938e37i −0.481186 0.481186i
\(233\) 1.79434e37 1.79434e37i 0.237799 0.237799i −0.578139 0.815938i \(-0.696221\pi\)
0.815938 + 0.578139i \(0.196221\pi\)
\(234\) 8.83632e36i 0.109350i
\(235\) 1.51714e35 + 8.04104e35i 0.00175364 + 0.00929451i
\(236\) −6.97591e37 −0.753371
\(237\) 8.23823e37 + 8.23823e37i 0.831496 + 0.831496i
\(238\) 2.41998e37 2.41998e37i 0.228339 0.228339i
\(239\) 5.12367e37i 0.452080i −0.974118 0.226040i \(-0.927422\pi\)
0.974118 0.226040i \(-0.0725779\pi\)
\(240\) 2.72020e37 5.13234e36i 0.224502 0.0423580i
\(241\) 6.19512e37 0.478384 0.239192 0.970972i \(-0.423117\pi\)
0.239192 + 0.970972i \(0.423117\pi\)
\(242\) 3.90645e37 + 3.90645e37i 0.282317 + 0.282317i
\(243\) 1.07809e38 1.07809e38i 0.729380 0.729380i
\(244\) 1.92756e38i 1.22116i
\(245\) −6.91915e37 + 1.01373e38i −0.410578 + 0.601539i
\(246\) −1.95986e38 −1.08959
\(247\) 3.97978e37 + 3.97978e37i 0.207352 + 0.207352i
\(248\) −7.13732e37 + 7.13732e37i −0.348584 + 0.348584i
\(249\) 3.09535e38i 1.41749i
\(250\) 1.08691e38 6.80604e37i 0.466825 0.292317i
\(251\) −2.36998e38 −0.954915 −0.477457 0.878655i \(-0.658441\pi\)
−0.477457 + 0.878655i \(0.658441\pi\)
\(252\) 3.92043e37 + 3.92043e37i 0.148226 + 0.148226i
\(253\) 5.56972e36 5.56972e36i 0.0197654 0.0197654i
\(254\) 1.77172e37i 0.0590278i
\(255\) −3.72918e38 2.54533e38i −1.16673 0.796346i
\(256\) −2.85900e38 −0.840184
\(257\) −5.30335e37 5.30335e37i −0.146427 0.146427i 0.630093 0.776520i \(-0.283017\pi\)
−0.776520 + 0.630093i \(0.783017\pi\)
\(258\) 1.46383e38 1.46383e38i 0.379818 0.379818i
\(259\) 3.21311e38i 0.783663i
\(260\) 1.93696e37 + 1.02661e38i 0.0444169 + 0.235415i
\(261\) −1.94939e38 −0.420387
\(262\) 2.30220e38 + 2.30220e38i 0.467007 + 0.467007i
\(263\) 4.90685e38 4.90685e38i 0.936506 0.936506i −0.0615952 0.998101i \(-0.519619\pi\)
0.998101 + 0.0615952i \(0.0196188\pi\)
\(264\) 8.58171e38i 1.54138i
\(265\) −1.12160e39 + 2.11618e38i −1.89629 + 0.357782i
\(266\) 1.53792e38 0.244808
\(267\) 7.73369e38 + 7.73369e38i 1.15933 + 1.15933i
\(268\) 3.60420e38 3.60420e38i 0.508923 0.508923i
\(269\) 9.02803e38i 1.20104i −0.799611 0.600519i \(-0.794961\pi\)
0.799611 0.600519i \(-0.205039\pi\)
\(270\) 1.31489e38 1.92644e38i 0.164842 0.241511i
\(271\) 1.34673e39 1.59138 0.795689 0.605706i \(-0.207109\pi\)
0.795689 + 0.605706i \(0.207109\pi\)
\(272\) −1.29870e38 1.29870e38i −0.144679 0.144679i
\(273\) −1.51537e38 + 1.51537e38i −0.159190 + 0.159190i
\(274\) 4.58284e38i 0.454073i
\(275\) −5.11982e38 1.30848e39i −0.478555 1.22305i
\(276\) 2.11126e37 0.0186207
\(277\) −5.46248e38 5.46248e38i −0.454688 0.454688i 0.442219 0.896907i \(-0.354191\pi\)
−0.896907 + 0.442219i \(0.854191\pi\)
\(278\) 4.07874e38 4.07874e38i 0.320486 0.320486i
\(279\) 4.10499e38i 0.304540i
\(280\) 5.74249e38 + 3.91951e38i 0.402320 + 0.274602i
\(281\) 1.38640e39 0.917463 0.458731 0.888575i \(-0.348304\pi\)
0.458731 + 0.888575i \(0.348304\pi\)
\(282\) −7.40013e36 7.40013e36i −0.00462651 0.00462651i
\(283\) 3.63813e37 3.63813e37i 0.0214929 0.0214929i −0.696279 0.717772i \(-0.745162\pi\)
0.717772 + 0.696279i \(0.245162\pi\)
\(284\) 2.29481e39i 1.28131i
\(285\) −3.76171e38 1.99375e39i −0.198549 1.05233i
\(286\) −4.98489e38 −0.248770
\(287\) 1.23015e39 + 1.23015e39i 0.580559 + 0.580559i
\(288\) −9.46176e38 + 9.46176e38i −0.422369 + 0.422369i
\(289\) 6.27714e38i 0.265092i
\(290\) −9.86312e38 + 1.86092e38i −0.394136 + 0.0743636i
\(291\) −4.12228e39 −1.55901
\(292\) 1.57506e38 + 1.57506e38i 0.0563860 + 0.0563860i
\(293\) 1.32517e39 1.32517e39i 0.449149 0.449149i −0.445922 0.895072i \(-0.647124\pi\)
0.895072 + 0.445922i \(0.147124\pi\)
\(294\) 1.56969e39i 0.503799i
\(295\) −2.00561e39 + 2.93843e39i −0.609669 + 0.893228i
\(296\) −4.87897e39 −1.40495
\(297\) −1.80701e39 1.80701e39i −0.493012 0.493012i
\(298\) 6.92186e38 6.92186e38i 0.178963 0.178963i
\(299\) 2.98683e37i 0.00731933i
\(300\) 1.50961e39 3.45034e39i 0.350692 0.801533i
\(301\) −1.83760e39 −0.404751
\(302\) −1.60147e39 1.60147e39i −0.334508 0.334508i
\(303\) 9.87907e38 9.87907e38i 0.195719 0.195719i
\(304\) 8.25335e38i 0.155115i
\(305\) 8.11937e39 + 5.54184e39i 1.44785 + 0.988227i
\(306\) 2.11345e39 0.357642
\(307\) 7.05755e39 + 7.05755e39i 1.13355 + 1.13355i 0.989583 + 0.143966i \(0.0459856\pi\)
0.143966 + 0.989583i \(0.454014\pi\)
\(308\) 2.21166e39 2.21166e39i 0.337215 0.337215i
\(309\) 1.74201e39i 0.252183i
\(310\) 3.91871e38 + 2.07696e39i 0.0538711 + 0.285523i
\(311\) 5.74069e39 0.749545 0.374773 0.927117i \(-0.377721\pi\)
0.374773 + 0.927117i \(0.377721\pi\)
\(312\) −2.30102e39 2.30102e39i −0.285396 0.285396i
\(313\) −8.73997e39 + 8.73997e39i −1.02991 + 1.02991i −0.0303741 + 0.999539i \(0.509670\pi\)
−0.999539 + 0.0303741i \(0.990330\pi\)
\(314\) 7.52606e39i 0.842739i
\(315\) 2.77853e39 5.24239e38i 0.295696 0.0557905i
\(316\) 6.44780e39 0.652256
\(317\) −9.63203e39 9.63203e39i −0.926338 0.926338i 0.0711291 0.997467i \(-0.477340\pi\)
−0.997467 + 0.0711291i \(0.977340\pi\)
\(318\) 1.03220e40 1.03220e40i 0.943912 0.943912i
\(319\) 1.09972e40i 0.956380i
\(320\) −2.64426e39 + 3.87411e39i −0.218728 + 0.320459i
\(321\) 5.34291e39 0.420433
\(322\) 5.77104e37 + 5.77104e37i 0.00432076 + 0.00432076i
\(323\) −9.51873e39 + 9.51873e39i −0.678170 + 0.678170i
\(324\) 1.27805e40i 0.866619i
\(325\) 4.88124e39 + 2.13567e39i 0.315062 + 0.137848i
\(326\) 4.77685e39 0.293535
\(327\) −7.29002e39 7.29002e39i −0.426545 0.426545i
\(328\) −1.86793e40 + 1.86793e40i −1.04083 + 1.04083i
\(329\) 9.28967e37i 0.00493022i
\(330\) 1.48423e40 + 1.01305e40i 0.750373 + 0.512164i
\(331\) 4.22090e39 0.203309 0.101655 0.994820i \(-0.467586\pi\)
0.101655 + 0.994820i \(0.467586\pi\)
\(332\) −1.21131e40 1.21131e40i −0.555965 0.555965i
\(333\) −1.40306e40 + 1.40306e40i −0.613717 + 0.613717i
\(334\) 5.22212e38i 0.0217723i
\(335\) −4.81951e39 2.55440e40i −0.191552 1.01525i
\(336\) 3.14260e39 0.119086
\(337\) 1.22132e40 + 1.22132e40i 0.441318 + 0.441318i 0.892455 0.451137i \(-0.148981\pi\)
−0.451137 + 0.892455i \(0.648981\pi\)
\(338\) −9.96505e39 + 9.96505e39i −0.343410 + 0.343410i
\(339\) 4.37379e40i 1.43768i
\(340\) −2.45543e40 + 4.63278e39i −0.769953 + 0.145271i
\(341\) 2.31577e40 0.692829
\(342\) 6.71557e39 + 6.71557e39i 0.191719 + 0.191719i
\(343\) −2.33805e40 + 2.33805e40i −0.637013 + 0.637013i
\(344\) 2.79032e40i 0.725637i
\(345\) 6.06998e38 8.89315e38i 0.0150689 0.0220775i
\(346\) −2.78922e40 −0.661098
\(347\) −3.70278e40 3.70278e40i −0.838023 0.838023i 0.150575 0.988599i \(-0.451887\pi\)
−0.988599 + 0.150575i \(0.951887\pi\)
\(348\) −2.08430e40 + 2.08430e40i −0.450498 + 0.450498i
\(349\) 6.84855e40i 1.41381i 0.707307 + 0.706907i \(0.249910\pi\)
−0.707307 + 0.706907i \(0.750090\pi\)
\(350\) 1.35578e40 5.30488e39i 0.267362 0.104613i
\(351\) 9.69032e39 0.182568
\(352\) 5.33772e40 + 5.33772e40i 0.960889 + 0.960889i
\(353\) 1.81046e40 1.81046e40i 0.311454 0.311454i −0.534018 0.845473i \(-0.679319\pi\)
0.845473 + 0.534018i \(0.179319\pi\)
\(354\) 4.54997e40i 0.748094i
\(355\) 9.66629e40 + 6.59769e40i 1.51917 + 1.03690i
\(356\) 6.05291e40 0.909420
\(357\) −3.62441e40 3.62441e40i −0.520651 0.520651i
\(358\) 3.62893e40 3.62893e40i 0.498482 0.498482i
\(359\) 7.67945e40i 1.00883i −0.863461 0.504416i \(-0.831708\pi\)
0.863461 0.504416i \(-0.168292\pi\)
\(360\) 7.96035e39 + 4.21908e40i 0.100021 + 0.530124i
\(361\) 2.27061e40 0.272915
\(362\) 3.10908e40 + 3.10908e40i 0.357515 + 0.357515i
\(363\) 5.85072e40 5.85072e40i 0.643730 0.643730i
\(364\) 1.18603e40i 0.124874i
\(365\) 1.11629e40 2.10616e39i 0.112484 0.0212229i
\(366\) −1.25723e41 −1.21260
\(367\) −5.02195e40 5.02195e40i −0.463677 0.463677i 0.436181 0.899859i \(-0.356331\pi\)
−0.899859 + 0.436181i \(0.856331\pi\)
\(368\) 3.09707e38 3.09707e38i 0.00273770 0.00273770i
\(369\) 1.07433e41i 0.909316i
\(370\) −5.75953e40 + 8.43831e40i −0.466831 + 0.683955i
\(371\) −1.29577e41 −1.00588
\(372\) 4.38909e40 + 4.38909e40i 0.326353 + 0.326353i
\(373\) 8.76062e40 8.76062e40i 0.624013 0.624013i −0.322542 0.946555i \(-0.604537\pi\)
0.946555 + 0.322542i \(0.104537\pi\)
\(374\) 1.19227e41i 0.813635i
\(375\) −1.01934e41 1.62787e41i −0.666532 1.06444i
\(376\) −1.41060e39 −0.00883889
\(377\) −2.94869e40 2.94869e40i −0.177079 0.177079i
\(378\) 1.87233e40 1.87233e40i 0.107774 0.107774i
\(379\) 3.34210e41i 1.84413i 0.387033 + 0.922066i \(0.373500\pi\)
−0.387033 + 0.922066i \(0.626500\pi\)
\(380\) −9.27431e40 6.33014e40i −0.490619 0.334870i
\(381\) −2.65352e40 −0.134593
\(382\) 7.83412e40 + 7.83412e40i 0.381045 + 0.381045i
\(383\) −1.18599e41 + 1.18599e41i −0.553223 + 0.553223i −0.927369 0.374147i \(-0.877936\pi\)
0.374147 + 0.927369i \(0.377936\pi\)
\(384\) 2.30458e41i 1.03108i
\(385\) −2.95742e40 1.56747e41i −0.126923 0.672708i
\(386\) 7.45348e38 0.00306875
\(387\) −8.02421e40 8.02421e40i −0.316976 0.316976i
\(388\) −1.61319e41 + 1.61319e41i −0.611474 + 0.611474i
\(389\) 1.16963e41i 0.425456i −0.977111 0.212728i \(-0.931765\pi\)
0.977111 0.212728i \(-0.0682349\pi\)
\(390\) −6.69599e40 + 1.26337e40i −0.233766 + 0.0441058i
\(391\) −7.14382e39 −0.0239388
\(392\) −1.49606e41 1.49606e41i −0.481251 0.481251i
\(393\) 3.44803e41 3.44803e41i 1.06485 1.06485i
\(394\) 2.45597e41i 0.728255i
\(395\) 1.85377e41 2.71597e41i 0.527841 0.773341i
\(396\) 1.93152e41 0.528172
\(397\) 2.38763e41 + 2.38763e41i 0.627074 + 0.627074i 0.947331 0.320257i \(-0.103769\pi\)
−0.320257 + 0.947331i \(0.603769\pi\)
\(398\) 1.84664e41 1.84664e41i 0.465859 0.465859i
\(399\) 2.30335e41i 0.558204i
\(400\) −2.84691e40 7.27590e40i −0.0662847 0.169405i
\(401\) −4.39823e40 −0.0983938 −0.0491969 0.998789i \(-0.515666\pi\)
−0.0491969 + 0.998789i \(0.515666\pi\)
\(402\) 2.35080e41 + 2.35080e41i 0.505358 + 0.505358i
\(403\) −6.20931e40 + 6.20931e40i −0.128281 + 0.128281i
\(404\) 7.73203e40i 0.153529i
\(405\) −5.38347e41 3.67446e41i −1.02750 0.701316i
\(406\) −1.13947e41 −0.209067
\(407\) 7.91516e41 + 7.91516e41i 1.39620 + 1.39620i
\(408\) 5.50352e41 5.50352e41i 0.933422 0.933422i
\(409\) 6.56453e41i 1.07061i 0.844660 + 0.535304i \(0.179803\pi\)
−0.844660 + 0.535304i \(0.820197\pi\)
\(410\) 1.02558e41 + 5.43567e41i 0.160852 + 0.852534i
\(411\) 6.86374e41 1.03536
\(412\) −6.81708e40 6.81708e40i −0.0989106 0.0989106i
\(413\) −2.85588e41 + 2.85588e41i −0.398601 + 0.398601i
\(414\) 5.04004e39i 0.00676751i
\(415\) −8.58494e41 + 1.61976e41i −1.10909 + 0.209258i
\(416\) −2.86242e41 −0.355828
\(417\) −6.10875e41 6.10875e41i −0.730762 0.730762i
\(418\) 3.78849e41 3.78849e41i 0.436160 0.436160i
\(419\) 1.28771e41i 0.142690i 0.997452 + 0.0713450i \(0.0227291\pi\)
−0.997452 + 0.0713450i \(0.977271\pi\)
\(420\) 2.41031e41 3.53135e41i 0.257089 0.376662i
\(421\) −1.05429e42 −1.08254 −0.541272 0.840848i \(-0.682057\pi\)
−0.541272 + 0.840848i \(0.682057\pi\)
\(422\) −4.89530e41 4.89530e41i −0.483927 0.483927i
\(423\) −4.05649e39 + 4.05649e39i −0.00386104 + 0.00386104i
\(424\) 1.96757e42i 1.80333i
\(425\) −5.10804e41 + 1.16748e42i −0.450849 + 1.03045i
\(426\) −1.49677e42 −1.27233
\(427\) 7.89128e41 + 7.89128e41i 0.646102 + 0.646102i
\(428\) 2.09086e41 2.09086e41i 0.164902 0.164902i
\(429\) 7.46590e41i 0.567238i
\(430\) −4.82594e41 3.29392e41i −0.353253 0.241112i
\(431\) 1.73817e42 1.22590 0.612951 0.790121i \(-0.289982\pi\)
0.612951 + 0.790121i \(0.289982\pi\)
\(432\) −1.00480e41 1.00480e41i −0.0682872 0.0682872i
\(433\) −3.37670e41 + 3.37670e41i −0.221150 + 0.221150i −0.808982 0.587833i \(-0.799981\pi\)
0.587833 + 0.808982i \(0.299981\pi\)
\(434\) 2.39948e41i 0.151454i
\(435\) 2.78712e41 + 1.47721e42i 0.169561 + 0.898696i
\(436\) −5.70566e41 −0.334597
\(437\) −2.26998e40 2.26998e40i −0.0128327 0.0128327i
\(438\) −1.02732e41 + 1.02732e41i −0.0559910 + 0.0559910i
\(439\) 1.88083e42i 0.988363i −0.869359 0.494182i \(-0.835468\pi\)
0.869359 0.494182i \(-0.164532\pi\)
\(440\) 2.38013e42 4.49072e41i 1.20603 0.227548i
\(441\) −8.60451e41 −0.420445
\(442\) 3.19685e41 + 3.19685e41i 0.150649 + 0.150649i
\(443\) −1.07059e42 + 1.07059e42i −0.486590 + 0.486590i −0.907228 0.420639i \(-0.861806\pi\)
0.420639 + 0.907228i \(0.361806\pi\)
\(444\) 3.00033e42i 1.31535i
\(445\) 1.74024e42 2.54963e42i 0.735952 1.07825i
\(446\) −1.48574e42 −0.606157
\(447\) −1.03669e42 1.03669e42i −0.408065 0.408065i
\(448\) −3.76528e41 + 3.76528e41i −0.143004 + 0.143004i
\(449\) 2.36463e42i 0.866607i −0.901248 0.433304i \(-0.857348\pi\)
0.901248 0.433304i \(-0.142652\pi\)
\(450\) 8.23671e41 + 3.60378e41i 0.291309 + 0.127455i
\(451\) 6.06067e42 2.06869
\(452\) −1.71161e42 1.71161e42i −0.563885 0.563885i
\(453\) −2.39853e42 + 2.39853e42i −0.762735 + 0.762735i
\(454\) 9.31281e41i 0.285882i
\(455\) 4.99584e41 + 3.40989e41i 0.148056 + 0.101055i
\(456\) 3.49754e42 1.00075
\(457\) −5.36646e41 5.36646e41i −0.148262 0.148262i 0.629079 0.777341i \(-0.283432\pi\)
−0.777341 + 0.629079i \(0.783432\pi\)
\(458\) −1.35539e42 + 1.35539e42i −0.361590 + 0.361590i
\(459\) 2.31770e42i 0.597111i
\(460\) −1.10480e40 5.85558e40i −0.00274890 0.0145695i
\(461\) 4.09470e42 0.984027 0.492014 0.870587i \(-0.336261\pi\)
0.492014 + 0.870587i \(0.336261\pi\)
\(462\) 1.44253e42 + 1.44253e42i 0.334853 + 0.334853i
\(463\) 1.54711e42 1.54711e42i 0.346918 0.346918i −0.512043 0.858960i \(-0.671111\pi\)
0.858960 + 0.512043i \(0.171111\pi\)
\(464\) 6.11505e41i 0.132468i
\(465\) 3.11068e42 5.86908e41i 0.651041 0.122835i
\(466\) 9.15989e41 0.185232
\(467\) −1.55016e42 1.55016e42i −0.302904 0.302904i 0.539245 0.842149i \(-0.318710\pi\)
−0.842149 + 0.539245i \(0.818710\pi\)
\(468\) −5.17900e41 + 5.17900e41i −0.0977939 + 0.0977939i
\(469\) 2.95105e42i 0.538532i
\(470\) −1.66518e40 + 2.43966e40i −0.00293695 + 0.00430293i
\(471\) −1.12718e43 −1.92159
\(472\) −4.33653e42 4.33653e42i −0.714613 0.714613i
\(473\) −4.52674e42 + 4.52674e42i −0.721120 + 0.721120i
\(474\) 4.20551e42i 0.647687i
\(475\) −5.33282e42 + 2.08662e42i −0.794071 + 0.310703i
\(476\) −2.83671e42 −0.408417
\(477\) −5.65818e42 5.65818e42i −0.787740 0.787740i
\(478\) 1.30778e42 1.30778e42i 0.176072 0.176072i
\(479\) 7.32607e42i 0.953900i −0.878930 0.476950i \(-0.841742\pi\)
0.878930 0.476950i \(-0.158258\pi\)
\(480\) 8.52272e42 + 5.81715e42i 1.07329 + 0.732572i
\(481\) −4.24460e42 −0.517030
\(482\) 1.58126e42 + 1.58126e42i 0.186317 + 0.186317i
\(483\) 8.64332e40 8.64332e40i 0.00985205 0.00985205i
\(484\) 4.57917e42i 0.504965i
\(485\) 2.15715e42 + 1.14331e43i 0.230151 + 1.21983i
\(486\) 5.50350e42 0.568145
\(487\) −2.12024e42 2.12024e42i −0.211798 0.211798i 0.593233 0.805031i \(-0.297851\pi\)
−0.805031 + 0.593233i \(0.797851\pi\)
\(488\) −1.19826e43 + 1.19826e43i −1.15833 + 1.15833i
\(489\) 7.15432e42i 0.669309i
\(490\) −4.35354e42 + 8.21404e41i −0.394190 + 0.0743737i
\(491\) 8.11842e42 0.711488 0.355744 0.934583i \(-0.384228\pi\)
0.355744 + 0.934583i \(0.384228\pi\)
\(492\) 1.14868e43 + 1.14868e43i 0.974446 + 0.974446i
\(493\) 7.05259e42 7.05259e42i 0.579159 0.579159i
\(494\) 2.03163e42i 0.161515i
\(495\) 5.55320e42 8.13602e42i 0.427426 0.626223i
\(496\) 1.28770e42 0.0959638
\(497\) 9.39474e42 + 9.39474e42i 0.677927 + 0.677927i
\(498\) 7.90067e42 7.90067e42i 0.552071 0.552071i
\(499\) 1.37353e43i 0.929455i −0.885454 0.464727i \(-0.846152\pi\)
0.885454 0.464727i \(-0.153848\pi\)
\(500\) −1.03595e43 2.38138e42i −0.678918 0.156066i
\(501\) −7.82121e41 −0.0496444
\(502\) −6.04921e42 6.04921e42i −0.371911 0.371911i
\(503\) 1.55558e43 1.55558e43i 0.926411 0.926411i −0.0710610 0.997472i \(-0.522639\pi\)
0.997472 + 0.0710610i \(0.0226385\pi\)
\(504\) 4.87423e42i 0.281201i
\(505\) −3.25692e42 2.22300e42i −0.182031 0.124244i
\(506\) 2.84327e41 0.0153961
\(507\) 1.49247e43 + 1.49247e43i 0.783031 + 0.783031i
\(508\) −1.03841e42 + 1.03841e42i −0.0527899 + 0.0527899i
\(509\) 1.49333e43i 0.735650i 0.929895 + 0.367825i \(0.119897\pi\)
−0.929895 + 0.367825i \(0.880103\pi\)
\(510\) −3.02168e42 1.60153e43i −0.144253 0.764560i
\(511\) 1.28963e42 0.0596665
\(512\) 5.64872e42 + 5.64872e42i 0.253297 + 0.253297i
\(513\) −7.36461e42 + 7.36461e42i −0.320090 + 0.320090i
\(514\) 2.70729e42i 0.114058i
\(515\) −4.83146e42 + 9.11577e41i −0.197316 + 0.0372287i
\(516\) −1.71591e43 −0.679359
\(517\) 2.28841e41 + 2.28841e41i 0.00878387 + 0.00878387i
\(518\) −8.20125e42 + 8.20125e42i −0.305214 + 0.305214i
\(519\) 4.17744e43i 1.50741i
\(520\) −5.17778e42 + 7.58598e42i −0.181172 + 0.265435i
\(521\) −8.58493e42 −0.291295 −0.145647 0.989337i \(-0.546527\pi\)
−0.145647 + 0.989337i \(0.546527\pi\)
\(522\) −4.97568e42 4.97568e42i −0.163729 0.163729i
\(523\) 1.07427e43 1.07427e43i 0.342837 0.342837i −0.514596 0.857433i \(-0.672058\pi\)
0.857433 + 0.514596i \(0.172058\pi\)
\(524\) 2.69866e43i 0.835310i
\(525\) −7.94515e42 2.03056e43i −0.238536 0.609631i
\(526\) 2.50488e43 0.729483
\(527\) −1.48513e43 1.48513e43i −0.419559 0.419559i
\(528\) 7.74146e42 7.74146e42i 0.212168 0.212168i
\(529\) 3.75919e43i 0.999547i
\(530\) −3.40296e43 2.32267e43i −0.877895 0.599203i
\(531\) −2.49414e43 −0.624321
\(532\) −9.01377e42 9.01377e42i −0.218938 0.218938i
\(533\) −1.62505e43 + 1.62505e43i −0.383030 + 0.383030i
\(534\) 3.94795e43i 0.903050i
\(535\) −2.79589e42 1.48185e43i −0.0620668 0.328962i
\(536\) 4.48105e43 0.965480
\(537\) −5.43507e43 5.43507e43i −1.13662 1.13662i
\(538\) 2.30435e43 2.30435e43i 0.467769 0.467769i
\(539\) 4.85411e43i 0.956510i
\(540\) −1.89976e43 + 3.58436e42i −0.363410 + 0.0685665i
\(541\) −6.33794e43 −1.17704 −0.588521 0.808482i \(-0.700290\pi\)
−0.588521 + 0.808482i \(0.700290\pi\)
\(542\) 3.43745e43 + 3.43745e43i 0.619795 + 0.619795i
\(543\) 4.65649e43 4.65649e43i 0.815195 0.815195i
\(544\) 6.84625e43i 1.16378i
\(545\) −1.64041e43 + 2.40336e43i −0.270774 + 0.396712i
\(546\) −7.73575e42 −0.124000
\(547\) 8.25783e43 + 8.25783e43i 1.28549 + 1.28549i 0.937497 + 0.347993i \(0.113137\pi\)
0.347993 + 0.937497i \(0.386863\pi\)
\(548\) 2.68602e43 2.68602e43i 0.406087 0.406087i
\(549\) 6.89172e43i 1.01198i
\(550\) 2.03302e43 4.64662e43i 0.289960 0.662726i
\(551\) 4.48198e43 0.620933
\(552\) 1.31245e42 + 1.31245e42i 0.0176628 + 0.0176628i
\(553\) 2.63967e43 2.63967e43i 0.345102 0.345102i
\(554\) 2.78853e43i 0.354176i
\(555\) 1.26381e44 + 8.62609e43i 1.55953 + 1.06445i
\(556\) −4.78113e43 −0.573236
\(557\) 3.60283e43 + 3.60283e43i 0.419721 + 0.419721i 0.885107 0.465387i \(-0.154085\pi\)
−0.465387 + 0.885107i \(0.654085\pi\)
\(558\) −1.04777e43 + 1.04777e43i −0.118610 + 0.118610i
\(559\) 2.42752e43i 0.267039i
\(560\) −1.64449e42 8.71599e42i −0.0175802 0.0931769i
\(561\) −1.78567e44 −1.85522
\(562\) 3.53870e43 + 3.53870e43i 0.357325 + 0.357325i
\(563\) 9.28636e43 9.28636e43i 0.911405 0.911405i −0.0849781 0.996383i \(-0.527082\pi\)
0.996383 + 0.0849781i \(0.0270820\pi\)
\(564\) 8.67448e41i 0.00827518i
\(565\) −1.21307e44 + 2.28876e43i −1.12489 + 0.212239i
\(566\) 1.85722e42 0.0167417
\(567\) −5.23223e43 5.23223e43i −0.458520 0.458520i
\(568\) −1.42655e44 + 1.42655e44i −1.21539 + 1.21539i
\(569\) 1.45469e44i 1.20496i −0.798134 0.602480i \(-0.794179\pi\)
0.798134 0.602480i \(-0.205821\pi\)
\(570\) 4.12877e43 6.04908e43i 0.332524 0.487182i
\(571\) 1.95688e44 1.53245 0.766227 0.642570i \(-0.222132\pi\)
0.766227 + 0.642570i \(0.222132\pi\)
\(572\) 2.92166e43 + 2.92166e43i 0.222481 + 0.222481i
\(573\) 1.17332e44 1.17332e44i 0.868846 0.868846i
\(574\) 6.27973e43i 0.452221i
\(575\) −2.78415e42 1.21814e42i −0.0194988 0.00853122i
\(576\) −3.28834e43 −0.223984
\(577\) −6.66021e43 6.66021e43i −0.441240 0.441240i 0.451188 0.892429i \(-0.351000\pi\)
−0.892429 + 0.451188i \(0.851000\pi\)
\(578\) −1.60220e43 + 1.60220e43i −0.103246 + 0.103246i
\(579\) 1.11631e42i 0.00699727i
\(580\) 6.87150e43 + 4.69011e43i 0.418990 + 0.285980i
\(581\) −9.91803e43 −0.588311
\(582\) −1.05219e44 1.05219e44i −0.607190 0.607190i
\(583\) −3.19198e44 + 3.19198e44i −1.79211 + 1.79211i
\(584\) 1.95825e43i 0.106970i
\(585\) 6.92533e42 + 3.67051e43i 0.0368084 + 0.195089i
\(586\) 6.76484e43 0.349861
\(587\) −1.58074e43 1.58074e43i −0.0795519 0.0795519i 0.666211 0.745763i \(-0.267915\pi\)
−0.745763 + 0.666211i \(0.767915\pi\)
\(588\) −9.20002e43 + 9.20002e43i −0.450559 + 0.450559i
\(589\) 9.43810e43i 0.449821i
\(590\) −1.26193e44 + 2.38095e43i −0.585335 + 0.110438i
\(591\) 3.67832e44 1.66054
\(592\) 4.40127e43 + 4.40127e43i 0.193388 + 0.193388i
\(593\) −2.31682e44 + 2.31682e44i −0.990872 + 0.990872i −0.999959 0.00908685i \(-0.997108\pi\)
0.00908685 + 0.999959i \(0.497108\pi\)
\(594\) 9.22456e43i 0.384028i
\(595\) −8.15569e43 + 1.19489e44i −0.330513 + 0.484236i
\(596\) −8.11385e43 −0.320101
\(597\) −2.76573e44 2.76573e44i −1.06224 1.06224i
\(598\) −7.62369e41 + 7.62369e41i −0.00285067 + 0.00285067i
\(599\) 4.34699e44i 1.58256i −0.611454 0.791280i \(-0.709415\pi\)
0.611454 0.791280i \(-0.290585\pi\)
\(600\) 3.08332e44 1.20644e44i 1.09295 0.427647i
\(601\) 3.47776e44 1.20035 0.600174 0.799869i \(-0.295098\pi\)
0.600174 + 0.799869i \(0.295098\pi\)
\(602\) −4.69036e43 4.69036e43i −0.157639 0.157639i
\(603\) 1.28863e44 1.28863e44i 0.421745 0.421745i
\(604\) 1.87725e44i 0.598317i
\(605\) −1.92886e44 1.31653e44i −0.598707 0.408645i
\(606\) 5.04314e43 0.152454
\(607\) 3.58025e44 + 3.58025e44i 1.05413 + 1.05413i 0.998449 + 0.0556819i \(0.0177333\pi\)
0.0556819 + 0.998449i \(0.482267\pi\)
\(608\) 2.17543e44 2.17543e44i 0.623860 0.623860i
\(609\) 1.70659e44i 0.476708i
\(610\) 6.57898e43 + 3.48694e44i 0.179011 + 0.948782i
\(611\) −1.22719e42 −0.00325276
\(612\) −1.23870e44 1.23870e44i −0.319847 0.319847i
\(613\) −1.77316e44 + 1.77316e44i −0.446046 + 0.446046i −0.894038 0.447992i \(-0.852139\pi\)
0.447992 + 0.894038i \(0.352139\pi\)
\(614\) 3.60279e44i 0.882968i
\(615\) 8.14104e44 1.53601e44i 1.94392 0.366769i
\(616\) 2.74973e44 0.639732
\(617\) −7.20277e43 7.20277e43i −0.163282 0.163282i 0.620737 0.784019i \(-0.286833\pi\)
−0.784019 + 0.620737i \(0.786833\pi\)
\(618\) 4.44637e43 4.44637e43i 0.0982178 0.0982178i
\(619\) 2.62343e44i 0.564701i −0.959311 0.282351i \(-0.908886\pi\)
0.959311 0.282351i \(-0.0911141\pi\)
\(620\) 9.87638e43 1.44699e44i 0.207172 0.303528i
\(621\) −5.52714e42 −0.0112989
\(622\) 1.46527e44 + 1.46527e44i 0.291926 + 0.291926i
\(623\) 2.47801e44 2.47801e44i 0.481165 0.481165i
\(624\) 4.15146e43i 0.0785682i
\(625\) −3.98150e44 + 3.67900e44i −0.734456 + 0.678656i
\(626\) −4.46164e44 −0.802242
\(627\) −5.67405e44 5.67405e44i −0.994518 0.994518i
\(628\) −4.41105e44 + 4.41105e44i −0.753681 + 0.753681i
\(629\) 1.01521e45i 1.69101i
\(630\) 8.43010e43 + 5.75393e43i 0.136894 + 0.0934363i
\(631\) −2.95807e44 −0.468315 −0.234158 0.972199i \(-0.575233\pi\)
−0.234158 + 0.972199i \(0.575233\pi\)
\(632\) 4.00823e44 + 4.00823e44i 0.618699 + 0.618699i
\(633\) −7.33172e44 + 7.33172e44i −1.10343 + 1.10343i
\(634\) 4.91703e44i 0.721563i
\(635\) 1.38856e43 + 7.35954e43i 0.0198694 + 0.105310i
\(636\) −1.20996e45 −1.68832
\(637\) −1.30154e44 1.30154e44i −0.177103 0.177103i
\(638\) −2.80696e44 + 2.80696e44i −0.372482 + 0.372482i
\(639\) 8.20475e44i 1.06182i
\(640\) 6.39175e44 1.20596e44i 0.806752 0.152214i
\(641\) −1.20869e44 −0.148794 −0.0743970 0.997229i \(-0.523703\pi\)
−0.0743970 + 0.997229i \(0.523703\pi\)
\(642\) 1.36374e44 + 1.36374e44i 0.163747 + 0.163747i
\(643\) 1.10766e45 1.10766e45i 1.29727 1.29727i 0.367076 0.930191i \(-0.380359\pi\)
0.930191 0.367076i \(-0.119641\pi\)
\(644\) 6.76485e42i 0.00772830i
\(645\) −4.93333e44 + 7.22784e44i −0.549775 + 0.805477i
\(646\) −4.85919e44 −0.528255
\(647\) 1.38258e44 + 1.38258e44i 0.146629 + 0.146629i 0.776610 0.629981i \(-0.216937\pi\)
−0.629981 + 0.776610i \(0.716937\pi\)
\(648\) 7.94493e44 7.94493e44i 0.822034 0.822034i
\(649\) 1.40703e45i 1.42033i
\(650\) 7.00788e43 + 1.79102e44i 0.0690197 + 0.176395i
\(651\) 3.59371e44 0.345341
\(652\) −2.79973e44 2.79973e44i −0.262515 0.262515i
\(653\) 5.22925e44 5.22925e44i 0.478441 0.478441i −0.426192 0.904633i \(-0.640145\pi\)
0.904633 + 0.426192i \(0.140145\pi\)
\(654\) 3.72146e44i 0.332253i
\(655\) −1.13674e45 7.75878e44i −0.990378 0.675978i
\(656\) 3.37007e44 0.286535
\(657\) 5.63139e43 + 5.63139e43i 0.0467272 + 0.0467272i
\(658\) −2.37113e42 + 2.37113e42i −0.00192018 + 0.00192018i
\(659\) 1.28026e45i 1.01189i 0.862567 + 0.505943i \(0.168856\pi\)
−0.862567 + 0.505943i \(0.831144\pi\)
\(660\) −2.76157e44 1.46366e45i −0.213036 1.12912i
\(661\) 7.17962e44 0.540602 0.270301 0.962776i \(-0.412877\pi\)
0.270301 + 0.962776i \(0.412877\pi\)
\(662\) 1.07736e44 + 1.07736e44i 0.0791830 + 0.0791830i
\(663\) 4.78794e44 4.78794e44i 0.343505 0.343505i
\(664\) 1.50601e45i 1.05472i
\(665\) −6.38833e44 + 1.20532e44i −0.436758 + 0.0824053i
\(666\) −7.16243e44 −0.478050
\(667\) 1.68187e43 + 1.68187e43i 0.0109592 + 0.0109592i
\(668\) −3.06070e43 + 3.06070e43i −0.0194714 + 0.0194714i
\(669\) 2.22520e45i 1.38214i
\(670\) 5.28979e44 7.75009e44i 0.320805 0.470013i
\(671\) 3.88787e45 2.30224
\(672\) 8.28330e44 + 8.28330e44i 0.478955 + 0.478955i
\(673\) −1.17159e45 + 1.17159e45i −0.661509 + 0.661509i −0.955736 0.294227i \(-0.904938\pi\)
0.294227 + 0.955736i \(0.404938\pi\)
\(674\) 6.23469e44i 0.343761i
\(675\) −3.95207e44 + 9.03276e44i −0.212796 + 0.486362i
\(676\) 1.16811e45 0.614238
\(677\) 3.70142e43 + 3.70142e43i 0.0190086 + 0.0190086i 0.716547 0.697539i \(-0.245721\pi\)
−0.697539 + 0.716547i \(0.745721\pi\)
\(678\) 1.11638e45 1.11638e45i 0.559936 0.559936i
\(679\) 1.32085e45i 0.647049i
\(680\) −1.81439e45 1.23841e45i −0.868139 0.592544i
\(681\) −1.39479e45 −0.651859
\(682\) 5.91086e44 + 5.91086e44i 0.269837 + 0.269837i
\(683\) 4.65304e44 4.65304e44i 0.207494 0.207494i −0.595707 0.803201i \(-0.703128\pi\)
0.803201 + 0.595707i \(0.203128\pi\)
\(684\) 7.87203e44i 0.342917i
\(685\) −3.59173e44 1.90366e45i −0.152846 0.810102i
\(686\) −1.19355e45 −0.496196
\(687\) 2.02998e45 + 2.02998e45i 0.824486 + 0.824486i
\(688\) −2.51712e44 + 2.51712e44i −0.0998825 + 0.0998825i
\(689\) 1.71174e45i 0.663637i
\(690\) 3.81924e43 7.20596e42i 0.0144674 0.00272965i
\(691\) −2.71789e45 −1.00596 −0.502982 0.864297i \(-0.667764\pi\)
−0.502982 + 0.864297i \(0.667764\pi\)
\(692\) 1.63477e45 + 1.63477e45i 0.591235 + 0.591235i
\(693\) 7.90746e44 7.90746e44i 0.279451 0.279451i
\(694\) 1.89022e45i 0.652771i
\(695\) −1.37460e45 + 2.01393e45i −0.463894 + 0.679652i
\(696\) −2.59139e45 −0.854642
\(697\) −3.88676e45 3.88676e45i −1.25275 1.25275i
\(698\) −1.74805e45 + 1.74805e45i −0.550639 + 0.550639i
\(699\) 1.37188e45i 0.422359i
\(700\) −1.10555e45 4.83706e44i −0.332666 0.145550i
\(701\) −2.04201e45 −0.600578 −0.300289 0.953848i \(-0.597083\pi\)
−0.300289 + 0.953848i \(0.597083\pi\)
\(702\) 2.47339e44 + 2.47339e44i 0.0711048 + 0.0711048i
\(703\) 3.22588e45 3.22588e45i 0.906490 0.906490i
\(704\) 1.85507e45i 0.509564i
\(705\) 3.65390e43 + 2.49396e43i 0.00981140 + 0.00669673i
\(706\) 9.24218e44 0.242605
\(707\) −3.16542e44 3.16542e44i −0.0812309 0.0812309i
\(708\) −2.66675e45 + 2.66675e45i −0.669038 + 0.669038i
\(709\) 2.09336e45i 0.513458i 0.966483 + 0.256729i \(0.0826447\pi\)
−0.966483 + 0.256729i \(0.917355\pi\)
\(710\) 7.83242e44 + 4.15128e45i 0.187829 + 0.995515i
\(711\) 2.30531e45 0.540526
\(712\) 3.76276e45 + 3.76276e45i 0.862633 + 0.862633i
\(713\) 3.54165e43 3.54165e43i 0.00793914 0.00793914i
\(714\) 1.85022e45i 0.405556i
\(715\) 2.07066e45 3.90683e44i 0.443826 0.0837390i
\(716\) −4.25385e45 −0.891608
\(717\) −1.95868e45 1.95868e45i −0.401473 0.401473i
\(718\) 1.96013e45 1.96013e45i 0.392911 0.392911i
\(719\) 4.97562e45i 0.975404i 0.873010 + 0.487702i \(0.162165\pi\)
−0.873010 + 0.487702i \(0.837835\pi\)
\(720\) 3.08789e44 4.52408e44i 0.0592028 0.0867382i
\(721\) −5.58170e44 −0.104665
\(722\) 5.79558e44 + 5.79558e44i 0.106292 + 0.106292i
\(723\) 2.36827e45 2.36827e45i 0.424833 0.424833i
\(724\) 3.64448e45i 0.639468i
\(725\) 3.95118e45 1.54601e45i 0.678139 0.265341i
\(726\) 2.98672e45 0.501428
\(727\) −5.33936e45 5.33936e45i −0.876877 0.876877i 0.116334 0.993210i \(-0.462886\pi\)
−0.993210 + 0.116334i \(0.962886\pi\)
\(728\) −7.37287e44 + 7.37287e44i −0.118450 + 0.118450i
\(729\) 3.27289e44i 0.0514388i
\(730\) 3.38684e44 + 2.31167e44i 0.0520750 + 0.0355436i
\(731\) 5.80608e45 0.873384
\(732\) 7.36869e45 + 7.36869e45i 1.08446 + 1.08446i
\(733\) 3.57603e45 3.57603e45i 0.514917 0.514917i −0.401112 0.916029i \(-0.631376\pi\)
0.916029 + 0.401112i \(0.131376\pi\)
\(734\) 2.56364e45i 0.361177i
\(735\) 1.23022e45 + 6.52032e45i 0.169585 + 0.898818i
\(736\) 1.63266e44 0.0220217
\(737\) −7.26961e45 7.26961e45i −0.959470 0.959470i
\(738\) −2.74215e45 + 2.74215e45i −0.354152 + 0.354152i
\(739\) 5.00870e45i 0.633016i −0.948590 0.316508i \(-0.897490\pi\)
0.948590 0.316508i \(-0.102510\pi\)
\(740\) 8.32140e45 1.57004e45i 1.02917 0.194179i
\(741\) 3.04278e45 0.368281
\(742\) −3.30736e45 3.30736e45i −0.391759 0.391759i
\(743\) −5.33609e45 + 5.33609e45i −0.618589 + 0.618589i −0.945169 0.326580i \(-0.894104\pi\)
0.326580 + 0.945169i \(0.394104\pi\)
\(744\) 5.45691e45i 0.619127i
\(745\) −2.33277e45 + 3.41775e45i −0.259043 + 0.379525i
\(746\) 4.47218e45 0.486070
\(747\) −4.33088e45 4.33088e45i −0.460730 0.460730i
\(748\) −6.98794e45 + 6.98794e45i −0.727652 + 0.727652i
\(749\) 1.71196e45i 0.174496i
\(750\) 1.55323e45 6.75686e45i 0.154973 0.674162i
\(751\) 1.08028e46 1.05511 0.527554 0.849522i \(-0.323109\pi\)
0.527554 + 0.849522i \(0.323109\pi\)
\(752\) 1.27249e43 + 1.27249e43i 0.00121665 + 0.00121665i
\(753\) −9.05995e45 + 9.05995e45i −0.8