Properties

Label 5.33.c.a.2.13
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 2.13
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.13

$q$-expansion

\(f(q)\) \(=\) \(q+(65410.6 + 65410.6i) q^{2} +(-1.37699e7 + 1.37699e7i) q^{3} +4.26212e9i q^{4} +(5.68539e10 - 1.41600e11i) q^{5} -1.80139e12 q^{6} +(-2.41000e12 - 2.41000e12i) q^{7} +(2.14856e12 - 2.14856e12i) q^{8} +1.47380e15i q^{9} +O(q^{10})\) \(q+(65410.6 + 65410.6i) q^{2} +(-1.37699e7 + 1.37699e7i) q^{3} +4.26212e9i q^{4} +(5.68539e10 - 1.41600e11i) q^{5} -1.80139e12 q^{6} +(-2.41000e12 - 2.41000e12i) q^{7} +(2.14856e12 - 2.14856e12i) q^{8} +1.47380e15i q^{9} +(1.29810e16 - 5.54333e15i) q^{10} +4.03786e16 q^{11} +(-5.86889e16 - 5.86889e16i) q^{12} +(-2.33631e17 + 2.33631e17i) q^{13} -3.15280e17i q^{14} +(1.16695e18 + 2.73269e18i) q^{15} +1.85867e19 q^{16} +(5.44103e19 + 5.44103e19i) q^{17} +(-9.64022e19 + 9.64022e19i) q^{18} +2.36248e20i q^{19} +(6.03518e20 + 2.42318e20i) q^{20} +6.63710e19 q^{21} +(2.64119e21 + 2.64119e21i) q^{22} +(9.56472e20 - 9.56472e20i) q^{23} +5.91707e19i q^{24} +(-1.68183e22 - 1.61011e22i) q^{25} -3.05639e22 q^{26} +(-4.58099e22 - 4.58099e22i) q^{27} +(1.02717e22 - 1.02717e22i) q^{28} +1.73763e22i q^{29} +(-1.02416e23 + 2.55078e23i) q^{30} +2.11052e23 q^{31} +(1.20654e24 + 1.20654e24i) q^{32} +(-5.56009e23 + 5.56009e23i) q^{33} +7.11802e24i q^{34} +(-4.78276e23 + 2.04240e23i) q^{35} -6.28152e24 q^{36} +(1.04242e25 + 1.04242e25i) q^{37} +(-1.54531e25 + 1.54531e25i) q^{38} -6.43414e24i q^{39} +(-1.82083e23 - 4.26390e23i) q^{40} -3.86953e25 q^{41} +(4.34136e24 + 4.34136e24i) q^{42} +(-1.15120e26 + 1.15120e26i) q^{43} +1.72098e26i q^{44} +(2.08691e26 + 8.37913e25i) q^{45} +1.25127e26 q^{46} +(5.56550e26 + 5.56550e26i) q^{47} +(-2.55937e26 + 2.55937e26i) q^{48} -1.09281e27i q^{49} +(-4.69167e25 - 2.15328e27i) q^{50} -1.49845e27 q^{51} +(-9.95763e26 - 9.95763e26i) q^{52} +(1.97322e27 - 1.97322e27i) q^{53} -5.99291e27i q^{54} +(2.29568e27 - 5.71763e27i) q^{55} -1.03561e25 q^{56} +(-3.25311e27 - 3.25311e27i) q^{57} +(-1.13659e27 + 1.13659e27i) q^{58} +2.24378e28i q^{59} +(-1.16471e28 + 4.97369e27i) q^{60} +4.54027e28 q^{61} +(1.38050e28 + 1.38050e28i) q^{62} +(3.55187e27 - 3.55187e27i) q^{63} +7.80117e28i q^{64} +(1.97994e28 + 4.63651e28i) q^{65} -7.27377e28 q^{66} +(-1.71739e29 - 1.71739e29i) q^{67} +(-2.31903e29 + 2.31903e29i) q^{68} +2.63410e28i q^{69} +(-4.46437e28 - 1.79249e28i) q^{70} +4.36893e29 q^{71} +(3.16654e27 + 3.16654e27i) q^{72} +(6.60223e29 - 6.60223e29i) q^{73} +1.36371e30i q^{74} +(4.53296e29 - 9.87664e27i) q^{75} -1.00692e30 q^{76} +(-9.73126e28 - 9.73126e28i) q^{77} +(4.20861e29 - 4.20861e29i) q^{78} -2.22778e30i q^{79} +(1.05673e30 - 2.63189e30i) q^{80} -1.46939e30 q^{81} +(-2.53108e30 - 2.53108e30i) q^{82} +(1.54776e30 - 1.54776e30i) q^{83} +2.82881e29i q^{84} +(1.07980e31 - 4.61109e30i) q^{85} -1.50602e31 q^{86} +(-2.39269e29 - 2.39269e29i) q^{87} +(8.67557e28 - 8.67557e28i) q^{88} +2.18479e31i q^{89} +(8.16976e30 + 1.91314e31i) q^{90} +1.12610e30 q^{91} +(4.07660e30 + 4.07660e30i) q^{92} +(-2.90615e30 + 2.90615e30i) q^{93} +7.28085e31i q^{94} +(3.34529e31 + 1.34316e31i) q^{95} -3.32279e31 q^{96} +(-7.63959e31 - 7.63959e31i) q^{97} +(7.14814e31 - 7.14814e31i) q^{98} +5.95100e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 65410.6 + 65410.6i 0.998086 + 0.998086i 0.999998 0.00191196i \(-0.000608598\pi\)
−0.00191196 + 0.999998i \(0.500609\pi\)
\(3\) −1.37699e7 + 1.37699e7i −0.319882 + 0.319882i −0.848722 0.528840i \(-0.822627\pi\)
0.528840 + 0.848722i \(0.322627\pi\)
\(4\) 4.26212e9i 0.992352i
\(5\) 5.68539e10 1.41600e11i 0.372598 0.927993i
\(6\) −1.80139e12 −0.638540
\(7\) −2.41000e12 2.41000e12i −0.0725186 0.0725186i 0.669917 0.742436i \(-0.266330\pi\)
−0.742436 + 0.669917i \(0.766330\pi\)
\(8\) 2.14856e12 2.14856e12i 0.00763321 0.00763321i
\(9\) 1.47380e15i 0.795351i
\(10\) 1.29810e16 5.54333e15i 1.29810 0.554333i
\(11\) 4.03786e16 0.878756 0.439378 0.898302i \(-0.355199\pi\)
0.439378 + 0.898302i \(0.355199\pi\)
\(12\) −5.86889e16 5.86889e16i −0.317436 0.317436i
\(13\) −2.33631e17 + 2.33631e17i −0.351105 + 0.351105i −0.860520 0.509416i \(-0.829862\pi\)
0.509416 + 0.860520i \(0.329862\pi\)
\(14\) 3.15280e17i 0.144760i
\(15\) 1.16695e18 + 2.73269e18i 0.177661 + 0.416036i
\(16\) 1.85867e19 1.00759
\(17\) 5.44103e19 + 5.44103e19i 1.11815 + 1.11815i 0.992013 + 0.126133i \(0.0402566\pi\)
0.126133 + 0.992013i \(0.459743\pi\)
\(18\) −9.64022e19 + 9.64022e19i −0.793829 + 0.793829i
\(19\) 2.36248e20i 0.819051i 0.912299 + 0.409526i \(0.134306\pi\)
−0.912299 + 0.409526i \(0.865694\pi\)
\(20\) 6.03518e20 + 2.42318e20i 0.920896 + 0.369748i
\(21\) 6.63710e19 0.0463948
\(22\) 2.64119e21 + 2.64119e21i 0.877074 + 0.877074i
\(23\) 9.56472e20 9.56472e20i 0.155965 0.155965i −0.624811 0.780776i \(-0.714824\pi\)
0.780776 + 0.624811i \(0.214824\pi\)
\(24\) 5.91707e19i 0.00488345i
\(25\) −1.68183e22 1.61011e22i −0.722342 0.691536i
\(26\) −3.05639e22 −0.700865
\(27\) −4.58099e22 4.58099e22i −0.574301 0.574301i
\(28\) 1.02717e22 1.02717e22i 0.0719639 0.0719639i
\(29\) 1.73763e22i 0.0694365i 0.999397 + 0.0347183i \(0.0110534\pi\)
−0.999397 + 0.0347183i \(0.988947\pi\)
\(30\) −1.02416e23 + 2.55078e23i −0.237918 + 0.592561i
\(31\) 2.11052e23 0.290136 0.145068 0.989422i \(-0.453660\pi\)
0.145068 + 0.989422i \(0.453660\pi\)
\(32\) 1.20654e24 + 1.20654e24i 0.998028 + 0.998028i
\(33\) −5.56009e23 + 5.56009e23i −0.281099 + 0.281099i
\(34\) 7.11802e24i 2.23201i
\(35\) −4.78276e23 + 2.04240e23i −0.0943170 + 0.0402765i
\(36\) −6.28152e24 −0.789268
\(37\) 1.04242e25 + 1.04242e25i 0.844921 + 0.844921i 0.989494 0.144573i \(-0.0461809\pi\)
−0.144573 + 0.989494i \(0.546181\pi\)
\(38\) −1.54531e25 + 1.54531e25i −0.817484 + 0.817484i
\(39\) 6.43414e24i 0.224624i
\(40\) −1.82083e23 4.26390e23i −0.00423945 0.00992768i
\(41\) −3.86953e25 −0.606899 −0.303449 0.952848i \(-0.598138\pi\)
−0.303449 + 0.952848i \(0.598138\pi\)
\(42\) 4.34136e24 + 4.34136e24i 0.0463060 + 0.0463060i
\(43\) −1.15120e26 + 1.15120e26i −0.842667 + 0.842667i −0.989205 0.146538i \(-0.953187\pi\)
0.146538 + 0.989205i \(0.453187\pi\)
\(44\) 1.72098e26i 0.872036i
\(45\) 2.08691e26 + 8.37913e25i 0.738080 + 0.296346i
\(46\) 1.25127e26 0.311333
\(47\) 5.56550e26 + 5.56550e26i 0.981609 + 0.981609i 0.999834 0.0182247i \(-0.00580141\pi\)
−0.0182247 + 0.999834i \(0.505801\pi\)
\(48\) −2.55937e26 + 2.55937e26i −0.322310 + 0.322310i
\(49\) 1.09281e27i 0.989482i
\(50\) −4.69167e25 2.15328e27i −0.0307473 1.41117i
\(51\) −1.49845e27 −0.715350
\(52\) −9.95763e26 9.95763e26i −0.348419 0.348419i
\(53\) 1.97322e27 1.97322e27i 0.509052 0.509052i −0.405183 0.914235i \(-0.632792\pi\)
0.914235 + 0.405183i \(0.132792\pi\)
\(54\) 5.99291e27i 1.14640i
\(55\) 2.29568e27 5.71763e27i 0.327422 0.815480i
\(56\) −1.03561e25 −0.00110710
\(57\) −3.25311e27 3.25311e27i −0.262000 0.262000i
\(58\) −1.13659e27 + 1.13659e27i −0.0693037 + 0.0693037i
\(59\) 2.24378e28i 1.04075i 0.853937 + 0.520377i \(0.174208\pi\)
−0.853937 + 0.520377i \(0.825792\pi\)
\(60\) −1.16471e28 + 4.97369e27i −0.412854 + 0.176302i
\(61\) 4.54027e28 1.23539 0.617695 0.786418i \(-0.288067\pi\)
0.617695 + 0.786418i \(0.288067\pi\)
\(62\) 1.38050e28 + 1.38050e28i 0.289581 + 0.289581i
\(63\) 3.55187e27 3.55187e27i 0.0576777 0.0576777i
\(64\) 7.80117e28i 0.984646i
\(65\) 1.97994e28 + 4.63651e28i 0.195002 + 0.456643i
\(66\) −7.27377e28 −0.561121
\(67\) −1.71739e29 1.71739e29i −1.04153 1.04153i −0.999099 0.0424295i \(-0.986490\pi\)
−0.0424295 0.999099i \(-0.513510\pi\)
\(68\) −2.31903e29 + 2.31903e29i −1.10959 + 1.10959i
\(69\) 2.63410e28i 0.0997808i
\(70\) −4.46437e28 1.79249e28i −0.134336 0.0539371i
\(71\) 4.36893e29 1.04771 0.523855 0.851807i \(-0.324493\pi\)
0.523855 + 0.851807i \(0.324493\pi\)
\(72\) 3.16654e27 + 3.16654e27i 0.00607108 + 0.00607108i
\(73\) 6.60223e29 6.60223e29i 1.01514 1.01514i 0.0152535 0.999884i \(-0.495144\pi\)
0.999884 0.0152535i \(-0.00485552\pi\)
\(74\) 1.36371e30i 1.68661i
\(75\) 4.53296e29 9.87664e27i 0.452274 0.00985437i
\(76\) −1.00692e30 −0.812787
\(77\) −9.73126e28 9.73126e28i −0.0637261 0.0637261i
\(78\) 4.20861e29 4.20861e29i 0.224194 0.224194i
\(79\) 2.22778e30i 0.967918i −0.875091 0.483959i \(-0.839198\pi\)
0.875091 0.483959i \(-0.160802\pi\)
\(80\) 1.05673e30 2.63189e30i 0.375425 0.935036i
\(81\) −1.46939e30 −0.427933
\(82\) −2.53108e30 2.53108e30i −0.605737 0.605737i
\(83\) 1.54776e30 1.54776e30i 0.305108 0.305108i −0.537901 0.843008i \(-0.680782\pi\)
0.843008 + 0.537901i \(0.180782\pi\)
\(84\) 2.82881e29i 0.0460400i
\(85\) 1.07980e31 4.61109e30i 1.45425 0.621013i
\(86\) −1.50602e31 −1.68211
\(87\) −2.39269e29 2.39269e29i −0.0222115 0.0222115i
\(88\) 8.67557e28 8.67557e28i 0.00670773 0.00670773i
\(89\) 2.18479e31i 1.40984i 0.709288 + 0.704919i \(0.249017\pi\)
−0.709288 + 0.704919i \(0.750983\pi\)
\(90\) 8.16976e30 + 1.91314e31i 0.440889 + 1.03245i
\(91\) 1.12610e30 0.0509232
\(92\) 4.07660e30 + 4.07660e30i 0.154772 + 0.154772i
\(93\) −2.90615e30 + 2.90615e30i −0.0928093 + 0.0928093i
\(94\) 7.28085e31i 1.95946i
\(95\) 3.34529e31 + 1.34316e31i 0.760074 + 0.305176i
\(96\) −3.32279e31 −0.638503
\(97\) −7.63959e31 7.63959e31i −1.24372 1.24372i −0.958447 0.285272i \(-0.907916\pi\)
−0.285272 0.958447i \(-0.592084\pi\)
\(98\) 7.14814e31 7.14814e31i 0.987588 0.987588i
\(99\) 5.95100e31i 0.698919i
\(100\) 6.86247e31 7.16818e31i 0.686247 0.716818i
\(101\) −1.39281e32 −1.18782 −0.593908 0.804533i \(-0.702416\pi\)
−0.593908 + 0.804533i \(0.702416\pi\)
\(102\) −9.80143e31 9.80143e31i −0.713981 0.713981i
\(103\) 3.23271e31 3.23271e31i 0.201452 0.201452i −0.599170 0.800622i \(-0.704503\pi\)
0.800622 + 0.599170i \(0.204503\pi\)
\(104\) 1.00394e30i 0.00536011i
\(105\) 3.77345e30 9.39816e30i 0.0172866 0.0430541i
\(106\) 2.58139e32 1.01616
\(107\) −6.53958e31 6.53958e31i −0.221518 0.221518i 0.587619 0.809138i \(-0.300065\pi\)
−0.809138 + 0.587619i \(0.800065\pi\)
\(108\) 1.95247e32 1.95247e32i 0.569909 0.569909i
\(109\) 4.51565e32i 1.13736i 0.822560 + 0.568678i \(0.192545\pi\)
−0.822560 + 0.568678i \(0.807455\pi\)
\(110\) 5.24155e32 2.23832e32i 1.14071 0.487123i
\(111\) −2.87081e32 −0.540551
\(112\) −4.47941e31 4.47941e31i −0.0730689 0.0730689i
\(113\) −2.81489e32 + 2.81489e32i −0.398297 + 0.398297i −0.877632 0.479335i \(-0.840878\pi\)
0.479335 + 0.877632i \(0.340878\pi\)
\(114\) 4.25576e32i 0.522997i
\(115\) −8.10578e31 1.89816e32i −0.0866222 0.202847i
\(116\) −7.40597e31 −0.0689055
\(117\) −3.44325e32 3.44325e32i −0.279251 0.279251i
\(118\) −1.46767e33 + 1.46767e33i −1.03876 + 1.03876i
\(119\) 2.62258e32i 0.162173i
\(120\) 8.37861e30 + 3.36409e30i 0.00453181 + 0.00181956i
\(121\) −4.80945e32 −0.227788
\(122\) 2.96981e33 + 2.96981e33i 1.23303 + 1.23303i
\(123\) 5.32829e32 5.32829e32i 0.194136 0.194136i
\(124\) 8.99527e32i 0.287917i
\(125\) −3.23611e33 + 1.46608e33i −0.910883 + 0.412664i
\(126\) 4.64659e32 0.115135
\(127\) 1.16769e33 + 1.16769e33i 0.254957 + 0.254957i 0.822999 0.568042i \(-0.192299\pi\)
−0.568042 + 0.822999i \(0.692299\pi\)
\(128\) 7.92654e31 7.92654e31i 0.0152660 0.0152660i
\(129\) 3.17038e33i 0.539109i
\(130\) −1.73767e33 + 4.32786e33i −0.261141 + 0.650398i
\(131\) 1.31659e34 1.75029 0.875146 0.483859i \(-0.160765\pi\)
0.875146 + 0.483859i \(0.160765\pi\)
\(132\) −2.36978e33 2.36978e33i −0.278949 0.278949i
\(133\) 5.69359e32 5.69359e32i 0.0593964 0.0593964i
\(134\) 2.24671e34i 2.07907i
\(135\) −9.09118e33 + 3.88224e33i −0.746930 + 0.318964i
\(136\) 2.33807e32 0.0170701
\(137\) −1.20768e34 1.20768e34i −0.784192 0.784192i 0.196343 0.980535i \(-0.437093\pi\)
−0.980535 + 0.196343i \(0.937093\pi\)
\(138\) −1.72298e33 + 1.72298e33i −0.0995899 + 0.0995899i
\(139\) 3.31670e34i 1.70792i −0.520335 0.853962i \(-0.674193\pi\)
0.520335 0.853962i \(-0.325807\pi\)
\(140\) −8.70494e32 2.03847e33i −0.0399685 0.0935956i
\(141\) −1.53273e34 −0.627999
\(142\) 2.85774e34 + 2.85774e34i 1.04571 + 1.04571i
\(143\) −9.43369e33 + 9.43369e33i −0.308535 + 0.308535i
\(144\) 2.73932e34i 0.801387i
\(145\) 2.46049e33 + 9.87907e32i 0.0644366 + 0.0258719i
\(146\) 8.63711e34 2.02639
\(147\) 1.50479e34 + 1.50479e34i 0.316518 + 0.316518i
\(148\) −4.44293e34 + 4.44293e34i −0.838459 + 0.838459i
\(149\) 2.73185e34i 0.462889i 0.972848 + 0.231445i \(0.0743452\pi\)
−0.972848 + 0.231445i \(0.925655\pi\)
\(150\) 3.02964e34 + 2.90043e34i 0.461244 + 0.441573i
\(151\) −1.13348e35 −1.55161 −0.775806 0.630971i \(-0.782657\pi\)
−0.775806 + 0.630971i \(0.782657\pi\)
\(152\) 5.07593e32 + 5.07593e32i 0.00625199 + 0.00625199i
\(153\) −8.01900e34 + 8.01900e34i −0.889318 + 0.889318i
\(154\) 1.27306e34i 0.127208i
\(155\) 1.19991e34 2.98850e34i 0.108104 0.269244i
\(156\) 2.74231e34 0.222906
\(157\) −1.25103e35 1.25103e35i −0.918067 0.918067i 0.0788216 0.996889i \(-0.474884\pi\)
−0.996889 + 0.0788216i \(0.974884\pi\)
\(158\) 1.45720e35 1.45720e35i 0.966066 0.966066i
\(159\) 5.43421e34i 0.325673i
\(160\) 2.39443e35 1.02250e35i 1.29803 0.554300i
\(161\) −4.61020e33 −0.0226207
\(162\) −9.61135e34 9.61135e34i −0.427114 0.427114i
\(163\) −1.85939e35 + 1.85939e35i −0.748806 + 0.748806i −0.974255 0.225449i \(-0.927615\pi\)
0.225449 + 0.974255i \(0.427615\pi\)
\(164\) 1.64924e35i 0.602257i
\(165\) 4.71199e34 + 1.10342e35i 0.156121 + 0.365594i
\(166\) 2.02479e35 0.609047
\(167\) −3.31985e35 3.31985e35i −0.907099 0.907099i 0.0889380 0.996037i \(-0.471653\pi\)
−0.996037 + 0.0889380i \(0.971653\pi\)
\(168\) 1.42602e32 1.42602e32i 0.000354141 0.000354141i
\(169\) 3.33613e35i 0.753451i
\(170\) 1.00792e36 + 4.04687e35i 2.07129 + 0.831643i
\(171\) −3.48183e35 −0.651433
\(172\) −4.90656e35 4.90656e35i −0.836223 0.836223i
\(173\) 5.39012e35 5.39012e35i 0.837260 0.837260i −0.151237 0.988497i \(-0.548326\pi\)
0.988497 + 0.151237i \(0.0483258\pi\)
\(174\) 3.13014e34i 0.0443380i
\(175\) 1.72861e33 + 7.93359e34i 0.00223403 + 0.102532i
\(176\) 7.50507e35 0.885425
\(177\) −3.08966e35 3.08966e35i −0.332919 0.332919i
\(178\) −1.42908e36 + 1.42908e36i −1.40714 + 1.40714i
\(179\) 1.15335e36i 1.03828i −0.854691 0.519138i \(-0.826253\pi\)
0.854691 0.519138i \(-0.173747\pi\)
\(180\) −3.57129e35 + 8.89466e35i −0.294079 + 0.732435i
\(181\) −1.17921e36 −0.888657 −0.444328 0.895864i \(-0.646558\pi\)
−0.444328 + 0.895864i \(0.646558\pi\)
\(182\) 7.36590e34 + 7.36590e34i 0.0508257 + 0.0508257i
\(183\) −6.25189e35 + 6.25189e35i −0.395179 + 0.395179i
\(184\) 4.11007e33i 0.00238103i
\(185\) 2.06873e36 8.83418e35i 1.09890 0.469265i
\(186\) −3.80187e35 −0.185263
\(187\) 2.19701e36 + 2.19701e36i 0.982578 + 0.982578i
\(188\) −2.37208e36 + 2.37208e36i −0.974102 + 0.974102i
\(189\) 2.20804e35i 0.0832949i
\(190\) 1.30960e36 + 3.06674e36i 0.454027 + 1.06321i
\(191\) 4.73722e36 1.51004 0.755022 0.655700i \(-0.227626\pi\)
0.755022 + 0.655700i \(0.227626\pi\)
\(192\) −1.07421e36 1.07421e36i −0.314971 0.314971i
\(193\) −2.77871e36 + 2.77871e36i −0.749767 + 0.749767i −0.974435 0.224669i \(-0.927870\pi\)
0.224669 + 0.974435i \(0.427870\pi\)
\(194\) 9.99420e36i 2.48268i
\(195\) −9.11077e35 3.65806e35i −0.208450 0.0836945i
\(196\) 4.65769e36 0.981915
\(197\) −1.66306e36 1.66306e36i −0.323184 0.323184i 0.526803 0.849987i \(-0.323390\pi\)
−0.849987 + 0.526803i \(0.823390\pi\)
\(198\) −3.89259e36 + 3.89259e36i −0.697582 + 0.697582i
\(199\) 1.08501e37i 1.79385i −0.442185 0.896924i \(-0.645796\pi\)
0.442185 0.896924i \(-0.354204\pi\)
\(200\) −7.07292e34 + 1.54108e33i −0.0107924 + 0.000235151i
\(201\) 4.72964e36 0.666333
\(202\) −9.11044e36 9.11044e36i −1.18554 1.18554i
\(203\) 4.18768e34 4.18768e34i 0.00503544 0.00503544i
\(204\) 6.38656e36i 0.709879i
\(205\) −2.19998e36 + 5.47927e36i −0.226129 + 0.563198i
\(206\) 4.22907e36 0.402133
\(207\) 1.40965e36 + 1.40965e36i 0.124047 + 0.124047i
\(208\) −4.34244e36 + 4.34244e36i −0.353769 + 0.353769i
\(209\) 9.53938e36i 0.719746i
\(210\) 8.61562e35 3.67916e35i 0.0602252 0.0257181i
\(211\) 1.30546e37 0.845756 0.422878 0.906187i \(-0.361020\pi\)
0.422878 + 0.906187i \(0.361020\pi\)
\(212\) 8.41011e36 + 8.41011e36i 0.505159 + 0.505159i
\(213\) −6.01596e36 + 6.01596e36i −0.335144 + 0.335144i
\(214\) 8.55516e36i 0.442189i
\(215\) 9.75605e36 + 2.28461e37i 0.468014 + 1.09597i
\(216\) −1.96850e35 −0.00876751
\(217\) −5.08635e35 5.08635e35i −0.0210402 0.0210402i
\(218\) −2.95371e37 + 2.95371e37i −1.13518 + 1.13518i
\(219\) 1.81824e37i 0.649449i
\(220\) 2.43692e37 + 9.78447e36i 0.809243 + 0.324918i
\(221\) −2.54239e37 −0.785173
\(222\) −1.87781e37 1.87781e37i −0.539516 0.539516i
\(223\) 1.94206e37 1.94206e37i 0.519260 0.519260i −0.398087 0.917348i \(-0.630326\pi\)
0.917348 + 0.398087i \(0.130326\pi\)
\(224\) 5.81554e36i 0.144751i
\(225\) 2.37298e37 2.47869e37i 0.550014 0.574515i
\(226\) −3.68247e37 −0.795069
\(227\) −3.21519e37 3.21519e37i −0.646835 0.646835i 0.305392 0.952227i \(-0.401212\pi\)
−0.952227 + 0.305392i \(0.901212\pi\)
\(228\) 1.38651e37 1.38651e37i 0.259996 0.259996i
\(229\) 1.49373e37i 0.261158i 0.991438 + 0.130579i \(0.0416836\pi\)
−0.991438 + 0.130579i \(0.958316\pi\)
\(230\) 7.11394e36 1.77180e37i 0.116002 0.288915i
\(231\) 2.67997e36 0.0407697
\(232\) 3.73339e34 + 3.73339e34i 0.000530024 + 0.000530024i
\(233\) 1.20900e37 1.20900e37i 0.160225 0.160225i −0.622441 0.782667i \(-0.713859\pi\)
0.782667 + 0.622441i \(0.213859\pi\)
\(234\) 4.50450e37i 0.557434i
\(235\) 1.10450e38 4.71658e37i 1.27667 0.545181i
\(236\) −9.56325e37 −1.03279
\(237\) 3.06763e37 + 3.06763e37i 0.309620 + 0.309620i
\(238\) 1.71545e37 1.71545e37i 0.161862 0.161862i
\(239\) 7.27736e37i 0.642107i 0.947061 + 0.321054i \(0.104037\pi\)
−0.947061 + 0.321054i \(0.895963\pi\)
\(240\) 2.16898e37 + 5.07919e37i 0.179009 + 0.419193i
\(241\) 9.00368e37 0.695260 0.347630 0.937632i \(-0.386986\pi\)
0.347630 + 0.937632i \(0.386986\pi\)
\(242\) −3.14589e37 3.14589e37i −0.227352 0.227352i
\(243\) 1.05120e38 1.05120e38i 0.711189 0.711189i
\(244\) 1.93512e38i 1.22594i
\(245\) −1.54743e38 6.21306e37i −0.918233 0.368679i
\(246\) 6.97053e37 0.387529
\(247\) −5.51949e37 5.51949e37i −0.287573 0.287573i
\(248\) 4.53456e35 4.53456e35i 0.00221467 0.00221467i
\(249\) 4.26248e37i 0.195197i
\(250\) −3.07573e38 1.15779e38i −1.32101 0.497266i
\(251\) −2.59110e38 −1.04401 −0.522004 0.852943i \(-0.674816\pi\)
−0.522004 + 0.852943i \(0.674816\pi\)
\(252\) 1.51385e37 + 1.51385e37i 0.0572366 + 0.0572366i
\(253\) 3.86210e37 3.86210e37i 0.137055 0.137055i
\(254\) 1.52758e38i 0.508938i
\(255\) −8.51926e37 + 2.12181e38i −0.266538 + 0.663840i
\(256\) 3.45427e38 1.01512
\(257\) 1.25730e38 + 1.25730e38i 0.347143 + 0.347143i 0.859044 0.511901i \(-0.171059\pi\)
−0.511901 + 0.859044i \(0.671059\pi\)
\(258\) 2.07377e38 2.07377e38i 0.538077 0.538077i
\(259\) 5.02448e37i 0.122545i
\(260\) −1.97613e38 + 8.43875e37i −0.453151 + 0.193511i
\(261\) −2.56091e37 −0.0552264
\(262\) 8.61190e38 + 8.61190e38i 1.74694 + 1.74694i
\(263\) −6.36717e38 + 6.36717e38i −1.21522 + 1.21522i −0.245932 + 0.969287i \(0.579094\pi\)
−0.969287 + 0.245932i \(0.920906\pi\)
\(264\) 2.38923e36i 0.00429137i
\(265\) −1.67224e38 3.91595e38i −0.282725 0.662068i
\(266\) 7.44842e37 0.118565
\(267\) −3.00843e38 3.00843e38i −0.450982 0.450982i
\(268\) 7.31971e38 7.31971e38i 1.03356 1.03356i
\(269\) 3.80922e38i 0.506757i −0.967367 0.253378i \(-0.918458\pi\)
0.967367 0.253378i \(-0.0815417\pi\)
\(270\) −8.48599e38 3.40720e38i −1.06385 0.427147i
\(271\) −4.25519e38 −0.502818 −0.251409 0.967881i \(-0.580894\pi\)
−0.251409 + 0.967881i \(0.580894\pi\)
\(272\) 1.01131e39 + 1.01131e39i 1.12663 + 1.12663i
\(273\) −1.55063e37 + 1.55063e37i −0.0162894 + 0.0162894i
\(274\) 1.57990e39i 1.56538i
\(275\) −6.79101e38 6.50139e38i −0.634763 0.607691i
\(276\) −1.12269e38 −0.0990177
\(277\) 1.69345e38 + 1.69345e38i 0.140960 + 0.140960i 0.774065 0.633106i \(-0.218220\pi\)
−0.633106 + 0.774065i \(0.718220\pi\)
\(278\) 2.16947e39 2.16947e39i 1.70466 1.70466i
\(279\) 3.11048e38i 0.230760i
\(280\) −5.88782e35 + 1.46642e36i −0.000412502 + 0.00102738i
\(281\) −1.02067e39 −0.675439 −0.337719 0.941247i \(-0.609655\pi\)
−0.337719 + 0.941247i \(0.609655\pi\)
\(282\) −1.00257e39 1.00257e39i −0.626797 0.626797i
\(283\) 6.11215e37 6.11215e37i 0.0361086 0.0361086i −0.688822 0.724931i \(-0.741872\pi\)
0.724931 + 0.688822i \(0.241872\pi\)
\(284\) 1.86209e39i 1.03970i
\(285\) −6.45594e38 + 2.75690e38i −0.340755 + 0.145514i
\(286\) −1.23413e39 −0.615890
\(287\) 9.32558e37 + 9.32558e37i 0.0440114 + 0.0440114i
\(288\) −1.77820e39 + 1.77820e39i −0.793782 + 0.793782i
\(289\) 3.55306e39i 1.50050i
\(290\) 9.63222e37 + 2.25561e38i 0.0384909 + 0.0901357i
\(291\) 2.10392e39 0.795687
\(292\) 2.81395e39 + 2.81395e39i 1.00737 + 1.00737i
\(293\) 1.82353e39 1.82353e39i 0.618061 0.618061i −0.326972 0.945034i \(-0.606028\pi\)
0.945034 + 0.326972i \(0.106028\pi\)
\(294\) 1.96858e39i 0.631824i
\(295\) 3.17720e39 + 1.27568e39i 0.965812 + 0.387782i
\(296\) 4.47941e37 0.0128989
\(297\) −1.84974e39 1.84974e39i −0.504670 0.504670i
\(298\) −1.78692e39 + 1.78692e39i −0.462003 + 0.462003i
\(299\) 4.46923e38i 0.109520i
\(300\) 4.20954e37 + 1.93200e39i 0.00977901 + 0.448816i
\(301\) 5.54880e38 0.122218
\(302\) −7.41417e39 7.41417e39i −1.54864 1.54864i
\(303\) 1.91788e39 1.91788e39i 0.379961 0.379961i
\(304\) 4.39109e39i 0.825267i
\(305\) 2.58132e39 6.42904e39i 0.460303 1.14643i
\(306\) −1.04905e40 −1.77523
\(307\) −2.15113e39 2.15113e39i −0.345504 0.345504i 0.512928 0.858432i \(-0.328561\pi\)
−0.858432 + 0.512928i \(0.828561\pi\)
\(308\) 4.14758e38 4.14758e38i 0.0632388 0.0632388i
\(309\) 8.90282e38i 0.128882i
\(310\) 2.73966e39 1.16993e39i 0.376626 0.160832i
\(311\) 6.46580e39 0.844221 0.422111 0.906544i \(-0.361289\pi\)
0.422111 + 0.906544i \(0.361289\pi\)
\(312\) −1.38241e37 1.38241e37i −0.00171460 0.00171460i
\(313\) 3.70925e38 3.70925e38i 0.0437096 0.0437096i −0.684914 0.728624i \(-0.740160\pi\)
0.728624 + 0.684914i \(0.240160\pi\)
\(314\) 1.63662e40i 1.83262i
\(315\) −3.01009e38 7.04883e38i −0.0320339 0.0750151i
\(316\) 9.49506e39 0.960516
\(317\) 7.00150e39 + 7.00150e39i 0.673353 + 0.673353i 0.958488 0.285134i \(-0.0920383\pi\)
−0.285134 + 0.958488i \(0.592038\pi\)
\(318\) −3.55455e39 + 3.55455e39i −0.325050 + 0.325050i
\(319\) 7.01629e38i 0.0610178i
\(320\) 1.10465e40 + 4.43527e39i 0.913745 + 0.366877i
\(321\) 1.80099e39 0.141720
\(322\) −3.01556e38 3.01556e38i −0.0225774 0.0225774i
\(323\) −1.28543e40 + 1.28543e40i −0.915819 + 0.915819i
\(324\) 6.26271e39i 0.424661i
\(325\) 7.69099e39 1.67575e38i 0.496419 0.0108162i
\(326\) −2.43248e40 −1.49475
\(327\) −6.21800e39 6.21800e39i −0.363820 0.363820i
\(328\) −8.31390e37 + 8.31390e37i −0.00463258 + 0.00463258i
\(329\) 2.68258e39i 0.142370i
\(330\) −4.13542e39 + 1.02997e40i −0.209072 + 0.520716i
\(331\) 3.52235e40 1.69662 0.848310 0.529500i \(-0.177620\pi\)
0.848310 + 0.529500i \(0.177620\pi\)
\(332\) 6.59672e39 + 6.59672e39i 0.302774 + 0.302774i
\(333\) −1.53632e40 + 1.53632e40i −0.672009 + 0.672009i
\(334\) 4.34306e40i 1.81073i
\(335\) −3.40823e40 + 1.45543e40i −1.35460 + 0.578460i
\(336\) 1.23362e39 0.0467469
\(337\) 3.64439e39 + 3.64439e39i 0.131688 + 0.131688i 0.769878 0.638191i \(-0.220317\pi\)
−0.638191 + 0.769878i \(0.720317\pi\)
\(338\) −2.18218e40 + 2.18218e40i −0.752009 + 0.752009i
\(339\) 7.75215e39i 0.254816i
\(340\) 1.96530e40 + 4.60222e40i 0.616264 + 1.44313i
\(341\) 8.52197e39 0.254959
\(342\) −2.27748e40 2.27748e40i −0.650186 0.650186i
\(343\) −5.29536e39 + 5.29536e39i −0.144274 + 0.144274i
\(344\) 4.94685e38i 0.0128645i
\(345\) 3.72990e39 + 1.49759e39i 0.0925959 + 0.0371781i
\(346\) 7.05141e40 1.67132
\(347\) −1.53522e40 1.53522e40i −0.347454 0.347454i 0.511706 0.859161i \(-0.329014\pi\)
−0.859161 + 0.511706i \(0.829014\pi\)
\(348\) 1.01979e39 1.01979e39i 0.0220416 0.0220416i
\(349\) 1.04767e40i 0.216280i −0.994136 0.108140i \(-0.965510\pi\)
0.994136 0.108140i \(-0.0344896\pi\)
\(350\) −5.07634e39 + 5.30248e39i −0.100106 + 0.104566i
\(351\) 2.14052e40 0.403279
\(352\) 4.87185e40 + 4.87185e40i 0.877023 + 0.877023i
\(353\) −3.88369e40 + 3.88369e40i −0.668113 + 0.668113i −0.957279 0.289166i \(-0.906622\pi\)
0.289166 + 0.957279i \(0.406622\pi\)
\(354\) 4.04192e40i 0.664563i
\(355\) 2.48391e40 6.18642e40i 0.390374 0.972268i
\(356\) −9.31183e40 −1.39906
\(357\) 3.61127e39 + 3.61127e39i 0.0518762 + 0.0518762i
\(358\) 7.54413e40 7.54413e40i 1.03629 1.03629i
\(359\) 1.83934e40i 0.241630i 0.992675 + 0.120815i \(0.0385508\pi\)
−0.992675 + 0.120815i \(0.961449\pi\)
\(360\) 6.28415e38 2.68354e38i 0.00789598 0.00337185i
\(361\) 2.73852e40 0.329155
\(362\) −7.71328e40 7.71328e40i −0.886956 0.886956i
\(363\) 6.62256e39 6.62256e39i 0.0728652 0.0728652i
\(364\) 4.79958e39i 0.0505337i
\(365\) −5.59516e40 1.31024e41i −0.563803 1.32028i
\(366\) −8.17880e40 −0.788846
\(367\) −2.37750e40 2.37750e40i −0.219514 0.219514i 0.588780 0.808294i \(-0.299609\pi\)
−0.808294 + 0.588780i \(0.799609\pi\)
\(368\) 1.77777e40 1.77777e40i 0.157149 0.157149i
\(369\) 5.70291e40i 0.482697i
\(370\) 1.93102e41 + 7.75321e40i 1.56516 + 0.628426i
\(371\) −9.51095e39 −0.0738314
\(372\) −1.23864e40 1.23864e40i −0.0920995 0.0920995i
\(373\) −8.19579e40 + 8.19579e40i −0.583780 + 0.583780i −0.935940 0.352160i \(-0.885447\pi\)
0.352160 + 0.935940i \(0.385447\pi\)
\(374\) 2.87416e41i 1.96140i
\(375\) 2.43731e40 6.47485e40i 0.159372 0.423379i
\(376\) 2.39156e39 0.0149857
\(377\) −4.05963e39 4.05963e39i −0.0243795 0.0243795i
\(378\) −1.44429e40 + 1.44429e40i −0.0831355 + 0.0831355i
\(379\) 2.83892e41i 1.56648i 0.621718 + 0.783241i \(0.286435\pi\)
−0.621718 + 0.783241i \(0.713565\pi\)
\(380\) −5.72472e40 + 1.42580e41i −0.302843 + 0.754261i
\(381\) −3.21578e40 −0.163112
\(382\) 3.09864e41 + 3.09864e41i 1.50715 + 1.50715i
\(383\) 1.27021e41 1.27021e41i 0.592510 0.592510i −0.345799 0.938309i \(-0.612392\pi\)
0.938309 + 0.345799i \(0.112392\pi\)
\(384\) 2.18295e39i 0.00976662i
\(385\) −1.93121e40 + 8.24692e39i −0.0828816 + 0.0353932i
\(386\) −3.63514e41 −1.49666
\(387\) −1.69664e41 1.69664e41i −0.670216 0.670216i
\(388\) 3.25608e41 3.25608e41i 1.23421 1.23421i
\(389\) 3.13956e41i 1.14202i 0.820942 + 0.571012i \(0.193449\pi\)
−0.820942 + 0.571012i \(0.806551\pi\)
\(390\) −3.56665e40 8.35216e40i −0.124517 0.291585i
\(391\) 1.04084e41 0.348783
\(392\) −2.34797e39 2.34797e39i −0.00755292 0.00755292i
\(393\) −1.81293e41 + 1.81293e41i −0.559887 + 0.559887i
\(394\) 2.17564e41i 0.645130i
\(395\) −3.15455e41 1.26658e41i −0.898221 0.360644i
\(396\) −2.53639e41 −0.693574
\(397\) −3.19598e41 3.19598e41i −0.839375 0.839375i 0.149401 0.988777i \(-0.452265\pi\)
−0.988777 + 0.149401i \(0.952265\pi\)
\(398\) 7.09713e41 7.09713e41i 1.79042 1.79042i
\(399\) 1.56800e40i 0.0379997i
\(400\) −3.12598e41 2.99267e41i −0.727824 0.696784i
\(401\) 3.83293e41 0.857475 0.428737 0.903429i \(-0.358959\pi\)
0.428737 + 0.903429i \(0.358959\pi\)
\(402\) 3.09369e41 + 3.09369e41i 0.665058 + 0.665058i
\(403\) −4.93081e40 + 4.93081e40i −0.101868 + 0.101868i
\(404\) 5.93631e41i 1.17873i
\(405\) −8.35404e40 + 2.08066e41i −0.159447 + 0.397119i
\(406\) 5.47838e39 0.0100516
\(407\) 4.20916e41 + 4.20916e41i 0.742480 + 0.742480i
\(408\) −3.21950e39 + 3.21950e39i −0.00546042 + 0.00546042i
\(409\) 4.66428e40i 0.0760696i 0.999276 + 0.0380348i \(0.0121098\pi\)
−0.999276 + 0.0380348i \(0.987890\pi\)
\(410\) −5.02304e41 + 2.14500e41i −0.787816 + 0.336424i
\(411\) 3.32592e41 0.501698
\(412\) 1.37782e41 + 1.37782e41i 0.199911 + 0.199911i
\(413\) 5.40752e40 5.40752e40i 0.0754739 0.0754739i
\(414\) 1.84412e41i 0.247619i
\(415\) −1.31167e41 3.07159e41i −0.169455 0.396820i
\(416\) −5.63771e41 −0.700824
\(417\) 4.56705e41 + 4.56705e41i 0.546335 + 0.546335i
\(418\) −6.23976e41 + 6.23976e41i −0.718369 + 0.718369i
\(419\) 3.48405e41i 0.386065i −0.981192 0.193032i \(-0.938168\pi\)
0.981192 0.193032i \(-0.0618322\pi\)
\(420\) 4.00561e40 + 1.60829e40i 0.0427248 + 0.0171544i
\(421\) 1.07614e42 1.10499 0.552493 0.833517i \(-0.313677\pi\)
0.552493 + 0.833517i \(0.313677\pi\)
\(422\) 8.53911e41 + 8.53911e41i 0.844138 + 0.844138i
\(423\) −8.20244e41 + 8.20244e41i −0.780724 + 0.780724i
\(424\) 8.47916e39i 0.00777140i
\(425\) −3.90266e40 1.79116e42i −0.0344459 1.58092i
\(426\) −7.87015e41 −0.669005
\(427\) −1.09421e41 1.09421e41i −0.0895887 0.0895887i
\(428\) 2.78725e41 2.78725e41i 0.219824 0.219824i
\(429\) 2.59802e41i 0.197390i
\(430\) −8.56228e41 + 2.13253e42i −0.626750 + 1.56099i
\(431\) 8.14206e41 0.574246 0.287123 0.957894i \(-0.407301\pi\)
0.287123 + 0.957894i \(0.407301\pi\)
\(432\) −8.51457e41 8.51457e41i −0.578659 0.578659i
\(433\) −4.99540e40 + 4.99540e40i −0.0327163 + 0.0327163i −0.723276 0.690559i \(-0.757364\pi\)
0.690559 + 0.723276i \(0.257364\pi\)
\(434\) 6.65402e40i 0.0419999i
\(435\) −4.74840e40 + 2.02772e40i −0.0288881 + 0.0123362i
\(436\) −1.92462e42 −1.12866
\(437\) 2.25965e41 + 2.25965e41i 0.127743 + 0.127743i
\(438\) −1.18932e42 + 1.18932e42i −0.648206 + 0.648206i
\(439\) 1.09081e42i 0.573215i 0.958048 + 0.286607i \(0.0925275\pi\)
−0.958048 + 0.286607i \(0.907472\pi\)
\(440\) −7.35226e39 1.72171e40i −0.00372544 0.00872401i
\(441\) 1.61059e42 0.786985
\(442\) −1.66299e42 1.66299e42i −0.783670 0.783670i
\(443\) 2.11887e42 2.11887e42i 0.963043 0.963043i −0.0362982 0.999341i \(-0.511557\pi\)
0.999341 + 0.0362982i \(0.0115566\pi\)
\(444\) 1.22357e42i 0.536416i
\(445\) 3.09367e42 + 1.24214e42i 1.30832 + 0.525302i
\(446\) 2.54063e42 1.03653
\(447\) −3.76173e41 3.76173e41i −0.148070 0.148070i
\(448\) 1.88009e41 1.88009e41i 0.0714051 0.0714051i
\(449\) 5.09144e42i 1.86595i 0.359947 + 0.932973i \(0.382795\pi\)
−0.359947 + 0.932973i \(0.617205\pi\)
\(450\) 3.17350e42 6.91458e40i 1.12238 0.0244549i
\(451\) −1.56246e42 −0.533316
\(452\) −1.19974e42 1.19974e42i −0.395251 0.395251i
\(453\) 1.56079e42 1.56079e42i 0.496333 0.496333i
\(454\) 4.20615e42i 1.29119i
\(455\) 6.40233e40 1.59457e41i 0.0189739 0.0472564i
\(456\) −1.39790e40 −0.00399980
\(457\) −3.78147e42 3.78147e42i −1.04472 1.04472i −0.998952 0.0457712i \(-0.985425\pi\)
−0.0457712 0.998952i \(-0.514575\pi\)
\(458\) −9.77055e41 + 9.77055e41i −0.260658 + 0.260658i
\(459\) 4.98507e42i 1.28430i
\(460\) 8.09019e41 3.45478e41i 0.201295 0.0859597i
\(461\) −6.34710e42 −1.52532 −0.762659 0.646801i \(-0.776107\pi\)
−0.762659 + 0.646801i \(0.776107\pi\)
\(462\) 1.75298e41 + 1.75298e41i 0.0406917 + 0.0406917i
\(463\) −5.21645e42 + 5.21645e42i −1.16971 + 1.16971i −0.187437 + 0.982277i \(0.560018\pi\)
−0.982277 + 0.187437i \(0.939982\pi\)
\(464\) 3.22968e41i 0.0699635i
\(465\) 2.46287e41 + 5.76739e41i 0.0515459 + 0.120707i
\(466\) 1.58163e42 0.319838
\(467\) −2.03137e42 2.03137e42i −0.396935 0.396935i 0.480216 0.877151i \(-0.340558\pi\)
−0.877151 + 0.480216i \(0.840558\pi\)
\(468\) 1.46756e42 1.46756e42i 0.277116 0.277116i
\(469\) 8.27782e41i 0.151060i
\(470\) 1.03097e43 + 4.13945e42i 1.81837 + 0.730090i
\(471\) 3.44532e42 0.587347
\(472\) 4.82089e40 + 4.82089e40i 0.00794429 + 0.00794429i
\(473\) −4.64839e42 + 4.64839e42i −0.740499 + 0.740499i
\(474\) 4.01310e42i 0.618055i
\(475\) 3.80385e42 3.97330e42i 0.566403 0.591635i
\(476\) 1.11778e42 0.160932
\(477\) 2.90814e42 + 2.90814e42i 0.404875 + 0.404875i
\(478\) −4.76017e42 + 4.76017e42i −0.640878 + 0.640878i
\(479\) 3.78435e42i 0.492746i 0.969175 + 0.246373i \(0.0792388\pi\)
−0.969175 + 0.246373i \(0.920761\pi\)
\(480\) −1.88913e42 + 4.70508e42i −0.237905 + 0.592526i
\(481\) −4.87084e42 −0.593311
\(482\) 5.88936e42 + 5.88936e42i 0.693930 + 0.693930i
\(483\) 6.34820e40 6.34820e40i 0.00723596 0.00723596i
\(484\) 2.04985e42i 0.226045i
\(485\) −1.51611e43 + 6.47429e42i −1.61757 + 0.690756i
\(486\) 1.37519e43 1.41966
\(487\) 2.37482e41 + 2.37482e41i 0.0237229 + 0.0237229i 0.718869 0.695146i \(-0.244660\pi\)
−0.695146 + 0.718869i \(0.744660\pi\)
\(488\) 9.75502e40 9.75502e40i 0.00942999 0.00942999i
\(489\) 5.12072e42i 0.479060i
\(490\) −6.05781e42 1.41858e43i −0.548502 1.28445i
\(491\) −3.26077e42 −0.285769 −0.142885 0.989739i \(-0.545638\pi\)
−0.142885 + 0.989739i \(0.545638\pi\)
\(492\) 2.27098e42 + 2.27098e42i 0.192651 + 0.192651i
\(493\) −9.45448e41 + 9.45448e41i −0.0776402 + 0.0776402i
\(494\) 7.22066e42i 0.574045i
\(495\) 8.42665e42 + 3.38338e42i 0.648592 + 0.260416i
\(496\) 3.92276e42 0.292338
\(497\) −1.05291e42 1.05291e42i −0.0759785 0.0759785i
\(498\) −2.78811e42 + 2.78811e42i −0.194823 + 0.194823i
\(499\) 2.79514e43i 1.89145i −0.324973 0.945723i \(-0.605355\pi\)
0.324973 0.945723i \(-0.394645\pi\)
\(500\) −6.24859e42 1.37927e43i −0.409508 0.903917i
\(501\) 9.14279e42 0.580330
\(502\) −1.69485e43 1.69485e43i −1.04201 1.04201i
\(503\) 1.43967e43 1.43967e43i 0.857385 0.857385i −0.133644 0.991029i \(-0.542668\pi\)
0.991029 + 0.133644i \(0.0426679\pi\)
\(504\) 1.52628e40i 0.000880531i
\(505\) −7.91865e42 + 1.97222e43i −0.442577 + 1.10229i
\(506\) 5.05245e42 0.273586
\(507\) −4.59381e42 4.59381e42i −0.241016 0.241016i
\(508\) −4.97682e42 + 4.97682e42i −0.253007 + 0.253007i
\(509\) 5.03625e42i 0.248098i −0.992276 0.124049i \(-0.960412\pi\)
0.992276 0.124049i \(-0.0395880\pi\)
\(510\) −1.94514e43 + 8.30638e42i −0.928597 + 0.396542i
\(511\) −3.18228e42 −0.147233
\(512\) 2.22542e43 + 2.22542e43i 0.997911 + 0.997911i
\(513\) 1.08225e43 1.08225e43i 0.470382 0.470382i
\(514\) 1.64481e43i 0.692957i
\(515\) −2.73962e42 6.41546e42i −0.111886 0.262007i
\(516\) 1.35126e43 0.534986
\(517\) 2.24727e43 + 2.24727e43i 0.862595 + 0.862595i
\(518\) 3.28654e42 3.28654e42i 0.122310 0.122310i
\(519\) 1.48443e43i 0.535649i
\(520\) 1.42158e41 + 5.70778e40i 0.00497414 + 0.00199716i
\(521\) 5.72502e42 0.194256 0.0971278 0.995272i \(-0.469034\pi\)
0.0971278 + 0.995272i \(0.469034\pi\)
\(522\) −1.67511e42 1.67511e42i −0.0551207 0.0551207i
\(523\) 1.53307e43 1.53307e43i 0.489254 0.489254i −0.418817 0.908071i \(-0.637555\pi\)
0.908071 + 0.418817i \(0.137555\pi\)
\(524\) 5.61147e43i 1.73691i
\(525\) −1.11625e42 1.06864e42i −0.0335129 0.0320837i
\(526\) −8.32961e43 −2.42579
\(527\) 1.14834e43 + 1.14834e43i 0.324414 + 0.324414i
\(528\) −1.03344e43 + 1.03344e43i −0.283232 + 0.283232i
\(529\) 3.57792e43i 0.951350i
\(530\) 1.46762e43 3.65526e43i 0.378617 0.942985i
\(531\) −3.30688e43 −0.827764
\(532\) 2.42668e42 + 2.42668e42i 0.0589422 + 0.0589422i
\(533\) 9.04041e42 9.04041e42i 0.213085 0.213085i
\(534\) 3.93566e43i 0.900239i
\(535\) −1.29781e43 + 5.54207e42i −0.288105 + 0.123030i
\(536\) −7.37981e41 −0.0159004
\(537\) 1.58815e43 + 1.58815e43i 0.332126 + 0.332126i
\(538\) 2.49163e43 2.49163e43i 0.505787 0.505787i
\(539\) 4.41262e43i 0.869514i
\(540\) −1.65466e43 3.87477e43i −0.316525 0.741218i
\(541\) −4.11451e43 −0.764121 −0.382061 0.924137i \(-0.624785\pi\)
−0.382061 + 0.924137i \(0.624785\pi\)
\(542\) −2.78335e43 2.78335e43i −0.501855 0.501855i
\(543\) 1.62376e43 1.62376e43i 0.284266 0.284266i
\(544\) 1.31297e44i 2.23188i
\(545\) 6.39418e43 + 2.56732e43i 1.05546 + 0.423776i
\(546\) −2.02855e42 −0.0325165
\(547\) −6.22056e42 6.22056e42i −0.0968350 0.0968350i 0.657030 0.753865i \(-0.271813\pi\)
−0.753865 + 0.657030i \(0.771813\pi\)
\(548\) 5.14728e43 5.14728e43i 0.778195 0.778195i
\(549\) 6.69145e43i 0.982568i
\(550\) −1.89443e42 8.69464e43i −0.0270194 1.24008i
\(551\) −4.10511e42 −0.0568721
\(552\) 5.65952e40 + 5.65952e40i 0.000761648 + 0.000761648i
\(553\) −5.36896e42 + 5.36896e42i −0.0701920 + 0.0701920i
\(554\) 2.21538e43i 0.281380i
\(555\) −1.63216e43 + 4.06508e43i −0.201408 + 0.501627i
\(556\) 1.41362e44 1.69486
\(557\) −2.82497e43 2.82497e43i −0.329102 0.329102i 0.523143 0.852245i \(-0.324759\pi\)
−0.852245 + 0.523143i \(0.824759\pi\)
\(558\) −2.03458e43 + 2.03458e43i −0.230318 + 0.230318i
\(559\) 5.37913e43i 0.591729i
\(560\) −8.88959e42 + 3.79615e42i −0.0950328 + 0.0405822i
\(561\) −6.05052e43 −0.628619
\(562\) −6.67629e43 6.67629e43i −0.674146 0.674146i
\(563\) 7.55262e43 7.55262e43i 0.741248 0.741248i −0.231570 0.972818i \(-0.574386\pi\)
0.972818 + 0.231570i \(0.0743863\pi\)
\(564\) 6.53266e43i 0.623196i
\(565\) 2.38553e43 + 5.58628e43i 0.221212 + 0.518021i
\(566\) 7.99599e42 0.0720791
\(567\) 3.54123e42 + 3.54123e42i 0.0310331 + 0.0310331i
\(568\) 9.38689e41 9.38689e41i 0.00799739 0.00799739i
\(569\) 4.96293e43i 0.411095i −0.978647 0.205547i \(-0.934103\pi\)
0.978647 0.205547i \(-0.0658975\pi\)
\(570\) −6.02617e43 2.41956e43i −0.485338 0.194867i
\(571\) 9.85215e43 0.771531 0.385765 0.922597i \(-0.373937\pi\)
0.385765 + 0.922597i \(0.373937\pi\)
\(572\) −4.02075e43 4.02075e43i −0.306176 0.306176i
\(573\) −6.52309e43 + 6.52309e43i −0.483036 + 0.483036i
\(574\) 1.21998e43i 0.0878544i
\(575\) −3.14865e43 + 6.86043e41i −0.220515 + 0.00480469i
\(576\) −1.14974e44 −0.783139
\(577\) 9.44045e43 + 9.44045e43i 0.625431 + 0.625431i 0.946915 0.321484i \(-0.104182\pi\)
−0.321484 + 0.946915i \(0.604182\pi\)
\(578\) −2.32408e44 + 2.32408e44i −1.49763 + 1.49763i
\(579\) 7.65250e43i 0.479674i
\(580\) −4.21058e42 + 1.04869e43i −0.0256740 + 0.0639438i
\(581\) −7.46020e42 −0.0442519
\(582\) 1.37619e44 + 1.37619e44i 0.794164 + 0.794164i
\(583\) 7.96760e43 7.96760e43i 0.447333 0.447333i
\(584\) 2.83705e42i 0.0154975i
\(585\) −6.83329e43 + 2.91804e43i −0.363192 + 0.155095i
\(586\) 2.38557e44 1.23376
\(587\) −1.18485e44 1.18485e44i −0.596284 0.596284i 0.343037 0.939322i \(-0.388544\pi\)
−0.939322 + 0.343037i \(0.888544\pi\)
\(588\) −6.41359e43 + 6.41359e43i −0.314097 + 0.314097i
\(589\) 4.98606e43i 0.237636i
\(590\) 1.24380e44 + 2.91265e44i 0.576923 + 1.35100i
\(591\) 4.58004e43 0.206761
\(592\) 1.93752e44 + 1.93752e44i 0.851333 + 0.851333i
\(593\) −2.63119e44 + 2.63119e44i −1.12532 + 1.12532i −0.134396 + 0.990928i \(0.542909\pi\)
−0.990928 + 0.134396i \(0.957091\pi\)
\(594\) 2.41985e44i 1.00741i
\(595\) −3.71359e43 1.49104e43i −0.150495 0.0604252i
\(596\) −1.16435e44 −0.459349
\(597\) 1.49405e44 + 1.49405e44i 0.573820 + 0.573820i
\(598\) −2.92335e43 + 2.92335e43i −0.109310 + 0.109310i
\(599\) 3.25999e44i 1.18682i −0.804899 0.593412i \(-0.797780\pi\)
0.804899 0.593412i \(-0.202220\pi\)
\(600\) 9.52713e41 9.95154e41i 0.00337708 0.00352753i
\(601\) 1.17707e44 0.406268 0.203134 0.979151i \(-0.434887\pi\)
0.203134 + 0.979151i \(0.434887\pi\)
\(602\) 3.62950e43 + 3.62950e43i 0.121984 + 0.121984i
\(603\) 2.53109e44 2.53109e44i 0.828381 0.828381i
\(604\) 4.83103e44i 1.53975i
\(605\) −2.73436e43 + 6.81021e43i −0.0848731 + 0.211385i
\(606\) 2.50899e44 0.758468
\(607\) −3.62966e44 3.62966e44i −1.06868 1.06868i −0.997461 0.0712188i \(-0.977311\pi\)
−0.0712188 0.997461i \(-0.522689\pi\)
\(608\) −2.85043e44 + 2.85043e44i −0.817436 + 0.817436i
\(609\) 1.15328e42i 0.00322149i
\(610\) 5.89373e44 2.51682e44i 1.60366 0.684817i
\(611\) −2.60055e44 −0.689295
\(612\) −3.41779e44 3.41779e44i −0.882517 0.882517i
\(613\) −9.76216e43 + 9.76216e43i −0.245572 + 0.245572i −0.819150 0.573579i \(-0.805555\pi\)
0.573579 + 0.819150i \(0.305555\pi\)
\(614\) 2.81414e44i 0.689686i
\(615\) −4.51555e43 1.05742e44i −0.107822 0.252492i
\(616\) −4.18163e41 −0.000972870
\(617\) −5.44998e44 5.44998e44i −1.23547 1.23547i −0.961833 0.273637i \(-0.911773\pi\)
−0.273637 0.961833i \(-0.588227\pi\)
\(618\) −5.82338e43 + 5.82338e43i −0.128635 + 0.128635i
\(619\) 3.11910e44i 0.671396i 0.941970 + 0.335698i \(0.108972\pi\)
−0.941970 + 0.335698i \(0.891028\pi\)
\(620\) 1.27373e44 + 5.11416e43i 0.267185 + 0.107277i
\(621\) −8.76318e43 −0.179142
\(622\) 4.22932e44 + 4.22932e44i 0.842606 + 0.842606i
\(623\) 5.26535e43 5.26535e43i 0.102239 0.102239i
\(624\) 1.19590e44i 0.226329i
\(625\) 2.36119e43 + 5.41587e44i 0.0435563 + 0.999051i
\(626\) 4.85248e43 0.0872518
\(627\) −1.31356e44 1.31356e44i −0.230234 0.230234i
\(628\) 5.33205e44 5.33205e44i 0.911046 0.911046i
\(629\) 1.13437e45i 1.88949i
\(630\) 2.64177e43 6.57960e43i 0.0428989 0.106844i
\(631\) 7.85800e44 1.24406 0.622031 0.782993i \(-0.286308\pi\)
0.622031 + 0.782993i \(0.286308\pi\)
\(632\) −4.78651e42 4.78651e42i −0.00738832 0.00738832i
\(633\) −1.79761e44 + 1.79761e44i −0.270542 + 0.270542i
\(634\) 9.15944e44i 1.34413i
\(635\) 2.31732e44 9.89575e43i 0.331594 0.141602i
\(636\) −2.31612e44 −0.323183
\(637\) 2.55314e44 + 2.55314e44i 0.347412 + 0.347412i
\(638\) −4.58939e43 + 4.58939e43i −0.0609010 + 0.0609010i
\(639\) 6.43893e44i 0.833297i
\(640\) −6.71748e42 1.57306e43i −0.00847865 0.0198548i
\(641\) −9.24961e43 −0.113866 −0.0569331 0.998378i \(-0.518132\pi\)
−0.0569331 + 0.998378i \(0.518132\pi\)
\(642\) 1.17803e44 + 1.17803e44i 0.141448 + 0.141448i
\(643\) −8.15227e43 + 8.15227e43i −0.0954779 + 0.0954779i −0.753232 0.657754i \(-0.771506\pi\)
0.657754 + 0.753232i \(0.271506\pi\)
\(644\) 1.96492e43i 0.0224477i
\(645\) −4.48928e44 1.80249e44i −0.500289 0.200871i
\(646\) −1.68162e45 −1.82813
\(647\) −9.40725e44 9.40725e44i −0.997687 0.997687i 0.00231036 0.999997i \(-0.499265\pi\)
−0.999997 + 0.00231036i \(0.999265\pi\)
\(648\) −3.15706e42 + 3.15706e42i −0.00326650 + 0.00326650i
\(649\) 9.06007e44i 0.914568i
\(650\) 5.14033e44 + 4.92111e44i 0.506265 + 0.484674i
\(651\) 1.40077e43 0.0134608
\(652\) −7.92495e44 7.92495e44i −0.743079 0.743079i
\(653\) 6.72204e43 6.72204e43i 0.0615022 0.0615022i −0.675687 0.737189i \(-0.736153\pi\)
0.737189 + 0.675687i \(0.236153\pi\)
\(654\) 8.13445e44i 0.726247i
\(655\) 7.48533e44 1.86430e45i 0.652154 1.62426i
\(656\) −7.19219e44 −0.611505
\(657\) 9.73037e44 + 9.73037e44i 0.807390 + 0.807390i
\(658\) 1.75469e44 1.75469e44i 0.142097 0.142097i
\(659\) 2.22598e45i 1.75936i −0.475563 0.879682i \(-0.657756\pi\)
0.475563 0.879682i \(-0.342244\pi\)
\(660\) −4.70292e44 + 2.00831e44i −0.362798 + 0.154927i
\(661\) 1.67203e45 1.25899 0.629494 0.777006i \(-0.283262\pi\)
0.629494 + 0.777006i \(0.283262\pi\)
\(662\) 2.30399e45 + 2.30399e45i 1.69337 + 1.69337i
\(663\) 3.50084e44 3.50084e44i 0.251163 0.251163i
\(664\) 6.65088e42i 0.00465790i
\(665\) −4.82513e43 1.12992e44i −0.0329885 0.0772504i
\(666\) −2.00984e45 −1.34144
\(667\) 1.66199e43 + 1.66199e43i 0.0108297 + 0.0108297i
\(668\) 1.41496e45 1.41496e45i 0.900162 0.900162i
\(669\) 5.34839e44i 0.332204i
\(670\) −3.18135e45 1.27734e45i −1.92936 0.774657i
\(671\) 1.83330e45 1.08561
\(672\) 8.00793e43 + 8.00793e43i 0.0463033 + 0.0463033i
\(673\) −1.58210e44 + 1.58210e44i −0.0893292 + 0.0893292i −0.750359 0.661030i \(-0.770120\pi\)
0.661030 + 0.750359i \(0.270120\pi\)
\(674\) 4.76763e44i 0.262872i
\(675\) 3.28578e43 + 1.50804e45i 0.0176921 + 0.811991i
\(676\) −1.42190e45 −0.747689
\(677\) 2.03805e44 + 2.03805e44i 0.104664 + 0.104664i 0.757500 0.652836i \(-0.226421\pi\)
−0.652836 + 0.757500i \(0.726421\pi\)
\(678\) 5.07072e44 5.07072e44i 0.254328 0.254328i
\(679\) 3.68229e44i 0.180385i
\(680\) 1.32929e43 3.31072e43i 0.00636027 0.0158409i
\(681\) 8.85457e44 0.413822
\(682\) 5.57427e44 + 5.57427e44i 0.254471 + 0.254471i
\(683\) 2.20201e45 2.20201e45i 0.981947 0.981947i −0.0178927 0.999840i \(-0.505696\pi\)
0.999840 + 0.0178927i \(0.00569572\pi\)
\(684\) 1.48400e45i 0.646451i
\(685\) −2.39669e45 + 1.02347e45i −1.01991 + 0.435537i
\(686\) −6.92745e44 −0.287997
\(687\) −2.05684e44 2.05684e44i −0.0835398 0.0835398i
\(688\) −2.13971e45 + 2.13971e45i −0.849063 + 0.849063i
\(689\) 9.22011e44i 0.357461i
\(690\) 1.46017e44 + 3.41933e44i 0.0553118 + 0.129526i
\(691\) 3.26068e45 1.20687 0.603434 0.797413i \(-0.293799\pi\)
0.603434 + 0.797413i \(0.293799\pi\)
\(692\) 2.29733e45 + 2.29733e45i 0.830857 + 0.830857i
\(693\) 1.43419e44 1.43419e44i 0.0506846 0.0506846i
\(694\) 2.00839e45i 0.693579i
\(695\) −4.69646e45 1.88567e45i −1.58494 0.636369i
\(696\) −1.02817e42 −0.000339090
\(697\) −2.10542e45 2.10542e45i −0.678601 0.678601i
\(698\) 6.85286e44 6.85286e44i 0.215867 0.215867i
\(699\) 3.32956e44i 0.102507i
\(700\) −3.38139e44 + 7.36754e42i −0.101748 + 0.00221694i
\(701\) −8.04654e44 −0.236658 −0.118329 0.992974i \(-0.537754\pi\)
−0.118329 + 0.992974i \(0.537754\pi\)
\(702\) 1.40013e45 + 1.40013e45i 0.402508 + 0.402508i
\(703\) −2.46270e45 + 2.46270e45i −0.692034 + 0.692034i
\(704\) 3.15000e45i 0.865264i
\(705\) −8.71414e44 + 2.17035e45i −0.233991 + 0.582778i
\(706\) −5.08069e45 −1.33367
\(707\) 3.35667e44 + 3.35667e44i 0.0861387 + 0.0861387i
\(708\) 1.31685e45 1.31685e45i 0.330372 0.330372i
\(709\) 5.73694e45i 1.40715i 0.710621 + 0.703575i \(0.248414\pi\)
−0.710621 + 0.703575i \(0.751586\pi\)
\(710\) 5.67131e45 2.42184e45i 1.36003 0.580780i
\(711\) 3.28330e45 0.769834
\(712\) 4.69414e43 + 4.69414e43i 0.0107616 + 0.0107616i
\(713\) 2.01865e44 2.01865e44i 0.0452510 0.0452510i
\(714\) 4.72430e44i 0.103554i
\(715\) 7.99473e44 + 1.87216e45i 0.171359 + 0.401278i
\(716\) 4.91572e45 1.03034
\(717\) −1.00208e45 1.00208e45i −0.205399 0.205399i
\(718\) −1.20312e45 + 1.20312e45i −0.241168 + 0.241168i
\(719\) 3.47833e45i 0.681881i −0.940085 0.340941i \(-0.889255\pi\)
0.940085 0.340941i \(-0.110745\pi\)
\(720\) 3.87888e45 + 1.55741e45i 0.743681 + 0.298595i
\(721\) −1.55817e44 −0.0292180
\(722\) 1.79128e45 + 1.79128e45i 0.328525 + 0.328525i
\(723\) −1.23980e45 + 1.23980e45i −0.222401 + 0.222401i
\(724\) 5.02594e45i 0.881861i
\(725\) 2.79776e44 2.92240e44i 0.0480179 0.0501569i
\(726\) 8.66371e44 0.145451
\(727\) −6.97830e45 6.97830e45i −1.14604 1.14604i −0.987325 0.158713i \(-0.949266\pi\)
−0.158713 0.987325i \(-0.550734\pi\)
\(728\) 2.41950e42 2.41950e42i 0.000388707 0.000388707i
\(729\) 1.72175e44i 0.0270602i
\(730\) 4.91053e45 1.22302e46i 0.755027 1.88047i
\(731\) −1.25275e46 −1.88445
\(732\) −2.66463e45 2.66463e45i −0.392157 0.392157i
\(733\) −7.35143e44 + 7.35143e44i −0.105854 + 0.105854i −0.758050 0.652196i \(-0.773848\pi\)
0.652196 + 0.758050i \(0.273848\pi\)
\(734\) 3.11027e45i 0.438188i
\(735\) 2.98632e45 1.27526e45i 0.411660 0.175793i
\(736\) 2.30805e45 0.311315
\(737\) −6.93457e45 6.93457e45i −0.915250 0.915250i
\(738\) 3.73031e45 3.73031e45i 0.481773 0.481773i
\(739\) 3.26989e45i 0.413259i 0.978419 + 0.206629i \(0.0662495\pi\)
−0.978419 + 0.206629i \(0.933751\pi\)
\(740\) 3.76523e45 + 8.81719e45i 0.465676 + 1.09049i
\(741\) 1.52005e45 0.183979
\(742\) −6.22117e44 6.22117e44i −0.0736901 0.0736901i
\(743\) 4.52346e45 4.52346e45i 0.524385 0.524385i −0.394508 0.918893i \(-0.629085\pi\)
0.918893 + 0.394508i \(0.129085\pi\)
\(744\) 1.24881e43i 0.00141687i
\(745\) 3.86832e45 + 1.55316e45i 0.429558 + 0.172471i
\(746\) −1.07218e46 −1.16533
\(747\) 2.28108e45 + 2.28108e45i 0.242667 + 0.242667i
\(748\) −9.36394e45 + 9.36394e45i −0.975063 + 0.975063i
\(749\) 3.15208e44i 0.0321284i
\(750\) 5.82950e45 2.64098e45i 0.581636 0.263502i
\(751\) 7.01790e45 0.685438 0.342719 0.939438i \(-0.388652\pi\)
0.342719 + 0.939438i \(0.388652\pi\)
\(752\) 1.03445e46 + 1.03445e46i 0.989059 + 0.989059i
\(753\) 3.56791e45 3.56791e45i 0.333960