Properties

Label 5.33.c.a.2.15
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 2.15
Character \(\chi\) \(=\) 5.2
Dual form 5.33.c.a.3.15

$q$-expansion

\(f(q)\) \(=\) \(q+(84542.4 + 84542.4i) q^{2} +(5.85262e6 - 5.85262e6i) q^{3} +9.99987e9i q^{4} +(-1.33071e11 + 7.46670e10i) q^{5} +9.89589e11 q^{6} +(-4.06221e12 - 4.06221e12i) q^{7} +(-4.82306e14 + 4.82306e14i) q^{8} +1.78451e15i q^{9} +O(q^{10})\) \(q+(84542.4 + 84542.4i) q^{2} +(5.85262e6 - 5.85262e6i) q^{3} +9.99987e9i q^{4} +(-1.33071e11 + 7.46670e10i) q^{5} +9.89589e11 q^{6} +(-4.06221e12 - 4.06221e12i) q^{7} +(-4.82306e14 + 4.82306e14i) q^{8} +1.78451e15i q^{9} +(-1.75627e16 - 4.93762e15i) q^{10} -1.93753e16 q^{11} +(5.85254e16 + 5.85254e16i) q^{12} +(6.35202e17 - 6.35202e17i) q^{13} -6.86859e17i q^{14} +(-3.41817e17 + 1.21581e18i) q^{15} -3.86015e19 q^{16} +(-4.90922e19 - 4.90922e19i) q^{17} +(-1.50867e20 + 1.50867e20i) q^{18} +5.30302e17i q^{19} +(-7.46660e20 - 1.33069e21i) q^{20} -4.75492e19 q^{21} +(-1.63803e21 - 1.63803e21i) q^{22} +(-7.61780e21 + 7.61780e21i) q^{23} +5.64550e21i q^{24} +(1.21327e22 - 1.98720e22i) q^{25} +1.07403e23 q^{26} +(2.12891e22 + 2.12891e22i) q^{27} +(4.06216e22 - 4.06216e22i) q^{28} -1.82808e21i q^{29} +(-1.31686e23 + 7.38896e22i) q^{30} -1.01814e24 q^{31} +(-1.19197e24 - 1.19197e24i) q^{32} +(-1.13396e23 + 1.13396e23i) q^{33} -8.30074e24i q^{34} +(8.43877e23 + 2.37250e23i) q^{35} -1.78449e25 q^{36} +(3.94346e24 + 3.94346e24i) q^{37} +(-4.48330e22 + 4.48330e22i) q^{38} -7.43519e24i q^{39} +(2.81686e25 - 1.00193e26i) q^{40} +7.58500e25 q^{41} +(-4.01992e24 - 4.01992e24i) q^{42} +(-1.10287e26 + 1.10287e26i) q^{43} -1.93750e26i q^{44} +(-1.33244e26 - 2.37467e26i) q^{45} -1.28805e27 q^{46} +(6.32156e26 + 6.32156e26i) q^{47} +(-2.25920e26 + 2.25920e26i) q^{48} -1.07142e27i q^{49} +(2.70576e27 - 6.54298e26i) q^{50} -5.74636e26 q^{51} +(6.35194e27 + 6.35194e27i) q^{52} +(-3.02021e27 + 3.02021e27i) q^{53} +3.59966e27i q^{54} +(2.57829e27 - 1.44669e27i) q^{55} +3.91846e27 q^{56} +(3.10365e24 + 3.10365e24i) q^{57} +(1.54550e26 - 1.54550e26i) q^{58} +1.06369e28i q^{59} +(-1.21580e28 - 3.41812e27i) q^{60} -3.36099e27 q^{61} +(-8.60759e28 - 8.60759e28i) q^{62} +(7.24908e27 - 7.24908e27i) q^{63} -3.57525e28i q^{64} +(-3.70984e28 + 1.31956e29i) q^{65} -1.91736e28 q^{66} +(5.01232e28 + 5.01232e28i) q^{67} +(4.90915e29 - 4.90915e29i) q^{68} +8.91681e28i q^{69} +(5.12857e28 + 9.14010e28i) q^{70} +6.84870e28 q^{71} +(-8.60681e29 - 8.60681e29i) q^{72} +(-8.59218e29 + 8.59218e29i) q^{73} +6.66779e29i q^{74} +(-4.52951e28 - 1.87312e29i) q^{75} -5.30294e27 q^{76} +(7.87065e28 + 7.87065e28i) q^{77} +(6.28589e29 - 6.28589e29i) q^{78} +3.56643e30i q^{79} +(5.13674e30 - 2.88226e30i) q^{80} -3.05755e30 q^{81} +(6.41254e30 + 6.41254e30i) q^{82} +(-1.63821e30 + 1.63821e30i) q^{83} -4.75485e29i q^{84} +(1.01983e31 + 2.86718e30i) q^{85} -1.86478e31 q^{86} +(-1.06990e28 - 1.06990e28i) q^{87} +(9.34481e30 - 9.34481e30i) q^{88} +7.81891e30i q^{89} +(8.81125e30 - 3.13408e31i) q^{90} -5.16066e30 q^{91} +(-7.61769e31 - 7.61769e31i) q^{92} +(-5.95878e30 + 5.95878e30i) q^{93} +1.06888e32i q^{94} +(-3.95960e28 - 7.05678e28i) q^{95} -1.39523e31 q^{96} +(-3.43333e31 - 3.43333e31i) q^{97} +(9.05808e31 - 9.05808e31i) q^{98} -3.45754e31i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 84542.4 + 84542.4i 1.29001 + 1.29001i 0.934775 + 0.355239i \(0.115601\pi\)
0.355239 + 0.934775i \(0.384399\pi\)
\(3\) 5.85262e6 5.85262e6i 0.135960 0.135960i −0.635852 0.771811i \(-0.719351\pi\)
0.771811 + 0.635852i \(0.219351\pi\)
\(4\) 9.99987e9i 2.32828i
\(5\) −1.33071e11 + 7.46670e10i −0.872094 + 0.489338i
\(6\) 9.89589e11 0.350780
\(7\) −4.06221e12 4.06221e12i −0.122235 0.122235i 0.643343 0.765578i \(-0.277547\pi\)
−0.765578 + 0.643343i \(0.777547\pi\)
\(8\) −4.82306e14 + 4.82306e14i −1.71349 + 1.71349i
\(9\) 1.78451e15i 0.963030i
\(10\) −1.75627e16 4.93762e15i −1.75627 0.493762i
\(11\) −1.93753e16 −0.421662 −0.210831 0.977522i \(-0.567617\pi\)
−0.210831 + 0.977522i \(0.567617\pi\)
\(12\) 5.85254e16 + 5.85254e16i 0.316552 + 0.316552i
\(13\) 6.35202e17 6.35202e17i 0.954593 0.954593i −0.0444196 0.999013i \(-0.514144\pi\)
0.999013 + 0.0444196i \(0.0141438\pi\)
\(14\) 6.86859e17i 0.315369i
\(15\) −3.41817e17 + 1.21581e18i −0.0520395 + 0.185100i
\(16\) −3.86015e19 −2.09259
\(17\) −4.90922e19 4.90922e19i −1.00886 1.00886i −0.999960 0.00889669i \(-0.997168\pi\)
−0.00889669 0.999960i \(-0.502832\pi\)
\(18\) −1.50867e20 + 1.50867e20i −1.24232 + 1.24232i
\(19\) 5.30302e17i 0.00183851i 1.00000 0.000919254i \(0.000292608\pi\)
−1.00000 0.000919254i \(0.999707\pi\)
\(20\) −7.46660e20 1.33069e21i −1.13931 2.03048i
\(21\) −4.75492e19 −0.0332380
\(22\) −1.63803e21 1.63803e21i −0.543951 0.543951i
\(23\) −7.61780e21 + 7.61780e21i −1.24218 + 1.24218i −0.283083 + 0.959095i \(0.591357\pi\)
−0.959095 + 0.283083i \(0.908643\pi\)
\(24\) 5.64550e21i 0.465932i
\(25\) 1.21327e22 1.98720e22i 0.521097 0.853497i
\(26\) 1.07403e23 2.46288
\(27\) 2.12891e22 + 2.12891e22i 0.266893 + 0.266893i
\(28\) 4.06216e22 4.06216e22i 0.284596 0.284596i
\(29\) 1.82808e21i 0.00730511i −0.999993 0.00365255i \(-0.998837\pi\)
0.999993 0.00365255i \(-0.00116265\pi\)
\(30\) −1.31686e23 + 7.38896e22i −0.305913 + 0.171650i
\(31\) −1.01814e24 −1.39965 −0.699826 0.714313i \(-0.746739\pi\)
−0.699826 + 0.714313i \(0.746739\pi\)
\(32\) −1.19197e24 1.19197e24i −0.985977 0.985977i
\(33\) −1.13396e23 + 1.13396e23i −0.0573291 + 0.0573291i
\(34\) 8.30074e24i 2.60288i
\(35\) 8.43877e23 + 2.37250e23i 0.166414 + 0.0467861i
\(36\) −1.78449e25 −2.24220
\(37\) 3.94346e24 + 3.94346e24i 0.319632 + 0.319632i 0.848626 0.528994i \(-0.177431\pi\)
−0.528994 + 0.848626i \(0.677431\pi\)
\(38\) −4.48330e22 + 4.48330e22i −0.00237170 + 0.00237170i
\(39\) 7.43519e24i 0.259572i
\(40\) 2.81686e25 1.00193e26i 0.655852 2.33281i
\(41\) 7.58500e25 1.18964 0.594818 0.803860i \(-0.297224\pi\)
0.594818 + 0.803860i \(0.297224\pi\)
\(42\) −4.01992e24 4.01992e24i −0.0428775 0.0428775i
\(43\) −1.10287e26 + 1.10287e26i −0.807286 + 0.807286i −0.984222 0.176937i \(-0.943381\pi\)
0.176937 + 0.984222i \(0.443381\pi\)
\(44\) 1.93750e26i 0.981746i
\(45\) −1.33244e26 2.37467e26i −0.471247 0.839853i
\(46\) −1.28805e27 −3.20486
\(47\) 6.32156e26 + 6.32156e26i 1.11496 + 1.11496i 0.992470 + 0.122488i \(0.0390874\pi\)
0.122488 + 0.992470i \(0.460913\pi\)
\(48\) −2.25920e26 + 2.25920e26i −0.284508 + 0.284508i
\(49\) 1.07142e27i 0.970117i
\(50\) 2.70576e27 6.54298e26i 1.77325 0.428801i
\(51\) −5.74636e26 −0.274328
\(52\) 6.35194e27 + 6.35194e27i 2.22256 + 2.22256i
\(53\) −3.02021e27 + 3.02021e27i −0.779154 + 0.779154i −0.979687 0.200533i \(-0.935733\pi\)
0.200533 + 0.979687i \(0.435733\pi\)
\(54\) 3.59966e27i 0.688592i
\(55\) 2.57829e27 1.44669e27i 0.367729 0.206335i
\(56\) 3.91846e27 0.418897
\(57\) 3.10365e24 + 3.10365e24i 0.000249963 + 0.000249963i
\(58\) 1.54550e26 1.54550e26i 0.00942370 0.00942370i
\(59\) 1.06369e28i 0.493380i 0.969094 + 0.246690i \(0.0793430\pi\)
−0.969094 + 0.246690i \(0.920657\pi\)
\(60\) −1.21580e28 3.41812e27i −0.430963 0.121162i
\(61\) −3.36099e27 −0.0914513 −0.0457256 0.998954i \(-0.514560\pi\)
−0.0457256 + 0.998954i \(0.514560\pi\)
\(62\) −8.60759e28 8.60759e28i −1.80557 1.80557i
\(63\) 7.24908e27 7.24908e27i 0.117716 0.117716i
\(64\) 3.57525e28i 0.451260i
\(65\) −3.70984e28 + 1.31956e29i −0.365377 + 1.29961i
\(66\) −1.91736e28 −0.147911
\(67\) 5.01232e28 + 5.01232e28i 0.303978 + 0.303978i 0.842568 0.538590i \(-0.181043\pi\)
−0.538590 + 0.842568i \(0.681043\pi\)
\(68\) 4.90915e29 4.90915e29i 2.34890 2.34890i
\(69\) 8.91681e28i 0.337772i
\(70\) 5.12857e28 + 9.14010e28i 0.154322 + 0.275031i
\(71\) 6.84870e28 0.164238 0.0821192 0.996623i \(-0.473831\pi\)
0.0821192 + 0.996623i \(0.473831\pi\)
\(72\) −8.60681e29 8.60681e29i −1.65015 1.65015i
\(73\) −8.59218e29 + 8.59218e29i −1.32111 + 1.32111i −0.408224 + 0.912882i \(0.633852\pi\)
−0.912882 + 0.408224i \(0.866148\pi\)
\(74\) 6.66779e29i 0.824659i
\(75\) −4.52951e28 1.87312e29i −0.0451930 0.186889i
\(76\) −5.30294e27 −0.00428055
\(77\) 7.87065e28 + 7.87065e28i 0.0515417 + 0.0515417i
\(78\) 6.28589e29 6.28589e29i 0.334852 0.334852i
\(79\) 3.56643e30i 1.54953i 0.632249 + 0.774765i \(0.282132\pi\)
−0.632249 + 0.774765i \(0.717868\pi\)
\(80\) 5.13674e30 2.88226e30i 1.82494 1.02398i
\(81\) −3.05755e30 −0.890457
\(82\) 6.41254e30 + 6.41254e30i 1.53465 + 1.53465i
\(83\) −1.63821e30 + 1.63821e30i −0.322938 + 0.322938i −0.849893 0.526955i \(-0.823334\pi\)
0.526955 + 0.849893i \(0.323334\pi\)
\(84\) 4.75485e29i 0.0773871i
\(85\) 1.01983e31 + 2.86718e30i 1.37349 + 0.386147i
\(86\) −1.86478e31 −2.08282
\(87\) −1.06990e28 1.06990e28i −0.000993200 0.000993200i
\(88\) 9.34481e30 9.34481e30i 0.722516 0.722516i
\(89\) 7.81891e30i 0.504552i 0.967655 + 0.252276i \(0.0811791\pi\)
−0.967655 + 0.252276i \(0.918821\pi\)
\(90\) 8.81125e30 3.13408e31i 0.475507 1.69134i
\(91\) −5.16066e30 −0.233369
\(92\) −7.61769e31 7.61769e31i −2.89213 2.89213i
\(93\) −5.95878e30 + 5.95878e30i −0.190296 + 0.190296i
\(94\) 1.06888e32i 2.87662i
\(95\) −3.95960e28 7.05678e28i −0.000899651 0.00160335i
\(96\) −1.39523e31 −0.268106
\(97\) −3.43333e31 3.43333e31i −0.558943 0.558943i 0.370063 0.929007i \(-0.379336\pi\)
−0.929007 + 0.370063i \(0.879336\pi\)
\(98\) 9.05808e31 9.05808e31i 1.25147 1.25147i
\(99\) 3.45754e31i 0.406074i
\(100\) 1.98718e32 + 1.21326e32i 1.98718 + 1.21326i
\(101\) 8.46617e31 0.722013 0.361007 0.932563i \(-0.382433\pi\)
0.361007 + 0.932563i \(0.382433\pi\)
\(102\) −4.85811e31 4.85811e31i −0.353887 0.353887i
\(103\) 1.36234e32 1.36234e32i 0.848966 0.848966i −0.141038 0.990004i \(-0.545044\pi\)
0.990004 + 0.141038i \(0.0450439\pi\)
\(104\) 6.12723e32i 3.27138i
\(105\) 6.32742e30 3.55036e30i 0.0289866 0.0162646i
\(106\) −5.10672e32 −2.01024
\(107\) −1.53197e32 1.53197e32i −0.518930 0.518930i 0.398317 0.917248i \(-0.369594\pi\)
−0.917248 + 0.398317i \(0.869594\pi\)
\(108\) −2.12888e32 + 2.12888e32i −0.621400 + 0.621400i
\(109\) 2.33989e32i 0.589349i −0.955598 0.294674i \(-0.904789\pi\)
0.955598 0.294674i \(-0.0952112\pi\)
\(110\) 3.40282e32 + 9.56677e31i 0.740552 + 0.208201i
\(111\) 4.61592e31 0.0869141
\(112\) 1.56807e32 + 1.56807e32i 0.255787 + 0.255787i
\(113\) 1.27505e32 1.27505e32i 0.180415 0.180415i −0.611122 0.791537i \(-0.709281\pi\)
0.791537 + 0.611122i \(0.209281\pi\)
\(114\) 5.24781e29i 0.000644911i
\(115\) 4.44910e32 1.58251e33i 0.475452 1.69114i
\(116\) 1.82805e31 0.0170083
\(117\) 1.13353e33 + 1.13353e33i 0.919302 + 0.919302i
\(118\) −8.99267e32 + 8.99267e32i −0.636468 + 0.636468i
\(119\) 3.98846e32i 0.246635i
\(120\) −4.21533e32 7.51253e32i −0.227998 0.406337i
\(121\) −1.73598e33 −0.822201
\(122\) −2.84146e32 2.84146e32i −0.117973 0.117973i
\(123\) 4.43921e32 4.43921e32i 0.161743 0.161743i
\(124\) 1.01813e34i 3.25877i
\(125\) −1.30732e32 + 3.55031e33i −0.0367978 + 0.999323i
\(126\) 1.22571e33 0.303710
\(127\) −1.02268e33 1.02268e33i −0.223297 0.223297i 0.586588 0.809885i \(-0.300471\pi\)
−0.809885 + 0.586588i \(0.800471\pi\)
\(128\) −2.09689e33 + 2.09689e33i −0.403846 + 0.403846i
\(129\) 1.29093e33i 0.219517i
\(130\) −1.42922e34 + 8.01946e33i −2.14786 + 1.20518i
\(131\) 9.09503e33 1.20910 0.604551 0.796566i \(-0.293352\pi\)
0.604551 + 0.796566i \(0.293352\pi\)
\(132\) −1.13395e33 1.13395e33i −0.133478 0.133478i
\(133\) 2.15420e30 2.15420e30i 0.000224729 0.000224729i
\(134\) 8.47506e33i 0.784271i
\(135\) −4.42256e33 1.24337e33i −0.363357 0.102155i
\(136\) 4.73549e34 3.45734
\(137\) 1.39497e34 + 1.39497e34i 0.905805 + 0.905805i 0.995930 0.0901254i \(-0.0287268\pi\)
−0.0901254 + 0.995930i \(0.528727\pi\)
\(138\) −7.53849e33 + 7.53849e33i −0.435731 + 0.435731i
\(139\) 9.38369e33i 0.483211i −0.970375 0.241606i \(-0.922326\pi\)
0.970375 0.241606i \(-0.0776740\pi\)
\(140\) −2.37247e33 + 8.43865e33i −0.108931 + 0.387458i
\(141\) 7.39954e33 0.303179
\(142\) 5.79006e33 + 5.79006e33i 0.211870 + 0.211870i
\(143\) −1.23072e34 + 1.23072e34i −0.402516 + 0.402516i
\(144\) 6.88849e34i 2.01523i
\(145\) 1.36497e32 + 2.43264e32i 0.00357467 + 0.00637075i
\(146\) −1.45281e35 −3.40849
\(147\) −6.27064e33 6.27064e33i −0.131897 0.131897i
\(148\) −3.94341e34 + 3.94341e34i −0.744191 + 0.744191i
\(149\) 5.90707e34i 1.00090i −0.865765 0.500451i \(-0.833167\pi\)
0.865765 0.500451i \(-0.166833\pi\)
\(150\) 1.20064e34 1.96651e34i 0.182791 0.299390i
\(151\) 3.87072e34 0.529859 0.264929 0.964268i \(-0.414651\pi\)
0.264929 + 0.964268i \(0.414651\pi\)
\(152\) −2.55768e32 2.55768e32i −0.00315027 0.00315027i
\(153\) 8.76057e34 8.76057e34i 0.971560 0.971560i
\(154\) 1.33081e34i 0.132979i
\(155\) 1.35485e35 7.60214e34i 1.22063 0.684902i
\(156\) 7.43509e34 0.604356
\(157\) −1.06636e34 1.06636e34i −0.0782548 0.0782548i 0.666896 0.745151i \(-0.267623\pi\)
−0.745151 + 0.666896i \(0.767623\pi\)
\(158\) −3.01514e35 + 3.01514e35i −1.99892 + 1.99892i
\(159\) 3.53523e34i 0.211867i
\(160\) 2.47618e35 + 6.96161e34i 1.34234 + 0.377389i
\(161\) 6.18902e34 0.303674
\(162\) −2.58492e35 2.58492e35i −1.14870 1.14870i
\(163\) 2.93398e35 2.93398e35i 1.18156 1.18156i 0.202217 0.979341i \(-0.435185\pi\)
0.979341 0.202217i \(-0.0648145\pi\)
\(164\) 7.58490e35i 2.76980i
\(165\) 6.62279e33 2.35567e34i 0.0219431 0.0780497i
\(166\) −2.76996e35 −0.833191
\(167\) −6.86082e34 6.86082e34i −0.187462 0.187462i 0.607136 0.794598i \(-0.292318\pi\)
−0.794598 + 0.607136i \(0.792318\pi\)
\(168\) 2.29332e34 2.29332e34i 0.0569531 0.0569531i
\(169\) 3.64185e35i 0.822497i
\(170\) 6.19792e35 + 1.10459e36i 1.27369 + 2.26996i
\(171\) −9.46331e32 −0.00177054
\(172\) −1.10285e36 1.10285e36i −1.87958 1.87958i
\(173\) −3.11746e34 + 3.11746e34i −0.0484243 + 0.0484243i −0.730904 0.682480i \(-0.760901\pi\)
0.682480 + 0.730904i \(0.260901\pi\)
\(174\) 1.80905e33i 0.00256249i
\(175\) −1.30010e35 + 3.14386e34i −0.168023 + 0.0406308i
\(176\) 7.47914e35 0.882366
\(177\) 6.22535e34 + 6.22535e34i 0.0670798 + 0.0670798i
\(178\) −6.61029e35 + 6.61029e35i −0.650880 + 0.650880i
\(179\) 1.80994e36i 1.62936i 0.579914 + 0.814678i \(0.303086\pi\)
−0.579914 + 0.814678i \(0.696914\pi\)
\(180\) 2.37464e36 1.33242e36i 1.95541 1.09719i
\(181\) 9.70489e35 0.731364 0.365682 0.930740i \(-0.380836\pi\)
0.365682 + 0.930740i \(0.380836\pi\)
\(182\) −4.36294e35 4.36294e35i −0.301049 0.301049i
\(183\) −1.96706e34 + 1.96706e34i −0.0124337 + 0.0124337i
\(184\) 7.34821e36i 4.25693i
\(185\) −8.19207e35 2.30314e35i −0.435157 0.122341i
\(186\) −1.00754e36 −0.490970
\(187\) 9.51175e35 + 9.51175e35i 0.425397 + 0.425397i
\(188\) −6.32148e36 + 6.32148e36i −2.59593 + 2.59593i
\(189\) 1.72962e35i 0.0652471i
\(190\) 2.61843e33 9.31351e33i 0.000907785 0.00322891i
\(191\) −3.26878e36 −1.04196 −0.520981 0.853568i \(-0.674434\pi\)
−0.520981 + 0.853568i \(0.674434\pi\)
\(192\) −2.09246e35 2.09246e35i −0.0613531 0.0613531i
\(193\) −1.78102e36 + 1.78102e36i −0.480566 + 0.480566i −0.905312 0.424747i \(-0.860363\pi\)
0.424747 + 0.905312i \(0.360363\pi\)
\(194\) 5.80524e36i 1.44209i
\(195\) 5.55164e35 + 9.89409e35i 0.127019 + 0.226372i
\(196\) 1.07141e37 2.25870
\(197\) 3.07795e36 + 3.07795e36i 0.598139 + 0.598139i 0.939817 0.341678i \(-0.110995\pi\)
−0.341678 + 0.939817i \(0.610995\pi\)
\(198\) 2.92309e36 2.92309e36i 0.523841 0.523841i
\(199\) 3.66895e36i 0.606586i −0.952897 0.303293i \(-0.901914\pi\)
0.952897 0.303293i \(-0.0980861\pi\)
\(200\) 3.73270e36 + 1.54361e37i 0.569565 + 2.35536i
\(201\) 5.86703e35 0.0826574
\(202\) 7.15751e36 + 7.15751e36i 0.931408 + 0.931408i
\(203\) −7.42605e33 + 7.42605e33i −0.000892937 + 0.000892937i
\(204\) 5.74628e36i 0.638711i
\(205\) −1.00934e37 + 5.66349e36i −1.03747 + 0.582134i
\(206\) 2.30351e37 2.19036
\(207\) −1.35941e37 1.35941e37i −1.19625 1.19625i
\(208\) −2.45197e37 + 2.45197e37i −1.99757 + 1.99757i
\(209\) 1.02747e34i 0.000775229i
\(210\) 8.35091e35 + 2.34780e35i 0.0583747 + 0.0164116i
\(211\) 1.56199e37 1.01195 0.505976 0.862547i \(-0.331132\pi\)
0.505976 + 0.862547i \(0.331132\pi\)
\(212\) −3.02017e37 3.02017e37i −1.81409 1.81409i
\(213\) 4.00828e35 4.00828e35i 0.0223298 0.0223298i
\(214\) 2.59032e37i 1.33886i
\(215\) 6.44118e36 2.29107e37i 0.308994 1.09906i
\(216\) −2.05357e37 −0.914639
\(217\) 4.13590e36 + 4.13590e36i 0.171086 + 0.171086i
\(218\) 1.97820e37 1.97820e37i 0.760268 0.760268i
\(219\) 1.00574e37i 0.359234i
\(220\) 1.44667e37 + 2.57825e37i 0.480405 + 0.856175i
\(221\) −6.23669e37 −1.92610
\(222\) 3.90241e36 + 3.90241e36i 0.112120 + 0.112120i
\(223\) −1.38056e37 + 1.38056e37i −0.369129 + 0.369129i −0.867160 0.498030i \(-0.834057\pi\)
0.498030 + 0.867160i \(0.334057\pi\)
\(224\) 9.68410e36i 0.241041i
\(225\) 3.54619e37 + 2.16510e37i 0.821943 + 0.501832i
\(226\) 2.15592e37 0.465476
\(227\) 1.75494e37 + 1.75494e37i 0.353060 + 0.353060i 0.861247 0.508187i \(-0.169684\pi\)
−0.508187 + 0.861247i \(0.669684\pi\)
\(228\) −3.10361e34 + 3.10361e34i −0.000581982 + 0.000581982i
\(229\) 1.71079e37i 0.299108i −0.988754 0.149554i \(-0.952216\pi\)
0.988754 0.149554i \(-0.0477838\pi\)
\(230\) 1.71403e38 9.61751e37i 2.79494 1.56826i
\(231\) 9.21279e35 0.0140152
\(232\) 8.81692e35 + 8.81692e35i 0.0125173 + 0.0125173i
\(233\) −1.67794e36 + 1.67794e36i −0.0222373 + 0.0222373i −0.718138 0.695901i \(-0.755005\pi\)
0.695901 + 0.718138i \(0.255005\pi\)
\(234\) 1.91662e38i 2.37183i
\(235\) −1.31323e38 3.69205e37i −1.51794 0.426758i
\(236\) −1.06367e38 −1.14872
\(237\) 2.08730e37 + 2.08730e37i 0.210674 + 0.210674i
\(238\) −3.37194e37 + 3.37194e37i −0.318162 + 0.318162i
\(239\) 1.01699e38i 0.897330i 0.893700 + 0.448665i \(0.148100\pi\)
−0.893700 + 0.448665i \(0.851900\pi\)
\(240\) 1.31946e37 4.69321e37i 0.108897 0.387338i
\(241\) −2.09334e37 −0.161647 −0.0808234 0.996728i \(-0.525755\pi\)
−0.0808234 + 0.996728i \(0.525755\pi\)
\(242\) −1.46764e38 1.46764e38i −1.06065 1.06065i
\(243\) −5.73438e37 + 5.73438e37i −0.387959 + 0.387959i
\(244\) 3.36094e37i 0.212924i
\(245\) 8.00000e37 + 1.42576e38i 0.474715 + 0.846034i
\(246\) 7.50603e37 0.417300
\(247\) 3.36849e35 + 3.36849e35i 0.00175503 + 0.00175503i
\(248\) 4.91054e38 4.91054e38i 2.39830 2.39830i
\(249\) 1.91756e37i 0.0878132i
\(250\) −3.11204e38 + 2.89099e38i −1.33661 + 1.24167i
\(251\) 3.44889e38 1.38963 0.694816 0.719187i \(-0.255486\pi\)
0.694816 + 0.719187i \(0.255486\pi\)
\(252\) 7.24898e37 + 7.24898e37i 0.274074 + 0.274074i
\(253\) 1.47597e38 1.47597e38i 0.523780 0.523780i
\(254\) 1.72920e38i 0.576112i
\(255\) 7.64674e37 4.29063e37i 0.239240 0.134239i
\(256\) −5.08107e38 −1.49319
\(257\) −1.84454e38 1.84454e38i −0.509282 0.509282i 0.405024 0.914306i \(-0.367263\pi\)
−0.914306 + 0.405024i \(0.867263\pi\)
\(258\) −1.09138e38 + 1.09138e38i −0.283180 + 0.283180i
\(259\) 3.20384e37i 0.0781402i
\(260\) −1.31954e39 3.70979e38i −3.02586 0.850698i
\(261\) 3.26223e36 0.00703504
\(262\) 7.68915e38 + 7.68915e38i 1.55976 + 1.55976i
\(263\) −4.14571e37 + 4.14571e37i −0.0791237 + 0.0791237i −0.745561 0.666437i \(-0.767818\pi\)
0.666437 + 0.745561i \(0.267818\pi\)
\(264\) 1.09383e38i 0.196466i
\(265\) 1.76393e38 6.27413e38i 0.298227 1.06077i
\(266\) 3.64242e35 0.000579808
\(267\) 4.57611e37 + 4.57611e37i 0.0685988 + 0.0685988i
\(268\) −5.01225e38 + 5.01225e38i −0.707743 + 0.707743i
\(269\) 1.03829e39i 1.38127i −0.723201 0.690637i \(-0.757330\pi\)
0.723201 0.690637i \(-0.242670\pi\)
\(270\) −2.68776e38 4.79011e38i −0.336954 0.600517i
\(271\) 7.15719e38 0.845734 0.422867 0.906192i \(-0.361024\pi\)
0.422867 + 0.906192i \(0.361024\pi\)
\(272\) 1.89503e39 + 1.89503e39i 2.11112 + 2.11112i
\(273\) −3.02034e37 + 3.02034e37i −0.0317287 + 0.0317287i
\(274\) 2.35868e39i 2.33700i
\(275\) −2.35075e38 + 3.85026e38i −0.219727 + 0.359888i
\(276\) −8.91669e38 −0.786427
\(277\) 4.40275e38 + 4.40275e38i 0.366478 + 0.366478i 0.866191 0.499713i \(-0.166561\pi\)
−0.499713 + 0.866191i \(0.666561\pi\)
\(278\) 7.93320e38 7.93320e38i 0.623349 0.623349i
\(279\) 1.81688e39i 1.34791i
\(280\) −5.21433e38 + 2.92580e38i −0.365317 + 0.204982i
\(281\) 1.10078e39 0.728452 0.364226 0.931311i \(-0.381333\pi\)
0.364226 + 0.931311i \(0.381333\pi\)
\(282\) 6.25575e38 + 6.25575e38i 0.391105 + 0.391105i
\(283\) 6.35069e38 6.35069e38i 0.375178 0.375178i −0.494181 0.869359i \(-0.664532\pi\)
0.869359 + 0.494181i \(0.164532\pi\)
\(284\) 6.84861e38i 0.382392i
\(285\) −6.44747e35 1.81266e35i −0.000340307 9.56750e-5i
\(286\) −2.08096e39 −1.03850
\(287\) −3.08119e38 3.08119e38i −0.145415 0.145415i
\(288\) 2.12709e39 2.12709e39i 0.949525 0.949525i
\(289\) 2.45217e39i 1.03559i
\(290\) −9.02635e36 + 3.21059e37i −0.00360698 + 0.0128297i
\(291\) −4.01879e38 −0.151988
\(292\) −8.59206e39 8.59206e39i −3.07590 3.07590i
\(293\) −2.06948e39 + 2.06948e39i −0.701423 + 0.701423i −0.964716 0.263293i \(-0.915191\pi\)
0.263293 + 0.964716i \(0.415191\pi\)
\(294\) 1.06027e39i 0.340298i
\(295\) −7.94223e38 1.41546e39i −0.241429 0.430274i
\(296\) −3.80391e39 −1.09537
\(297\) −4.12482e38 4.12482e38i −0.112539 0.112539i
\(298\) 4.99398e39 4.99398e39i 1.29118 1.29118i
\(299\) 9.67768e39i 2.37155i
\(300\) 1.87309e39 4.52945e38i 0.435130 0.105222i
\(301\) 8.96015e38 0.197357
\(302\) 3.27240e39 + 3.27240e39i 0.683526 + 0.683526i
\(303\) 4.95493e38 4.95493e38i 0.0981647 0.0981647i
\(304\) 2.04704e37i 0.00384724i
\(305\) 4.47250e38 2.50955e38i 0.0797542 0.0447506i
\(306\) 1.48128e40 2.50665
\(307\) −3.61620e39 3.61620e39i −0.580816 0.580816i 0.354311 0.935128i \(-0.384715\pi\)
−0.935128 + 0.354311i \(0.884715\pi\)
\(308\) −7.87055e38 + 7.87055e38i −0.120003 + 0.120003i
\(309\) 1.59465e39i 0.230850i
\(310\) 1.78812e40 + 5.02718e39i 2.45816 + 0.691095i
\(311\) −6.85765e39 −0.895383 −0.447692 0.894188i \(-0.647754\pi\)
−0.447692 + 0.894188i \(0.647754\pi\)
\(312\) 3.58604e39 + 3.58604e39i 0.444776 + 0.444776i
\(313\) −7.78586e39 + 7.78586e39i −0.917481 + 0.917481i −0.996846 0.0793643i \(-0.974711\pi\)
0.0793643 + 0.996846i \(0.474711\pi\)
\(314\) 1.80306e39i 0.201900i
\(315\) −4.23376e38 + 1.50591e39i −0.0450564 + 0.160262i
\(316\) −3.56638e40 −3.60773
\(317\) 4.58100e39 + 4.58100e39i 0.440567 + 0.440567i 0.892203 0.451635i \(-0.149159\pi\)
−0.451635 + 0.892203i \(0.649159\pi\)
\(318\) −2.98877e39 + 2.98877e39i −0.273312 + 0.273312i
\(319\) 3.54195e37i 0.00308029i
\(320\) 2.66953e39 + 4.75762e39i 0.220818 + 0.393541i
\(321\) −1.79320e39 −0.141107
\(322\) 5.23235e39 + 5.23235e39i 0.391744 + 0.391744i
\(323\) 2.60337e37 2.60337e37i 0.00185479 0.00185479i
\(324\) 3.05751e40i 2.07323i
\(325\) −4.91601e39 2.03295e40i −0.317307 1.31218i
\(326\) 4.96091e40 3.04845
\(327\) −1.36945e39 1.36945e39i −0.0801277 0.0801277i
\(328\) −3.65829e40 + 3.65829e40i −2.03843 + 2.03843i
\(329\) 5.13591e39i 0.272573i
\(330\) 2.55144e39 1.43163e39i 0.128992 0.0723783i
\(331\) 3.21776e40 1.54991 0.774954 0.632017i \(-0.217773\pi\)
0.774954 + 0.632017i \(0.217773\pi\)
\(332\) −1.63819e40 1.63819e40i −0.751890 0.751890i
\(333\) −7.03716e39 + 7.03716e39i −0.307815 + 0.307815i
\(334\) 1.16006e40i 0.483657i
\(335\) −1.04125e40 2.92740e39i −0.413845 0.116349i
\(336\) 1.83547e39 0.0695534
\(337\) −1.12808e40 1.12808e40i −0.407624 0.407624i 0.473285 0.880909i \(-0.343068\pi\)
−0.880909 + 0.473285i \(0.843068\pi\)
\(338\) 3.07890e40 3.07890e40i 1.06103 1.06103i
\(339\) 1.49248e39i 0.0490583i
\(340\) −2.86714e40 + 1.01982e41i −0.899056 + 3.19786i
\(341\) 1.97267e40 0.590181
\(342\) −8.00051e37 8.00051e37i −0.00228402 0.00228402i
\(343\) −8.83878e39 + 8.83878e39i −0.240817 + 0.240817i
\(344\) 1.06384e41i 2.76656i
\(345\) −6.65791e39 1.18657e40i −0.165285 0.294569i
\(346\) −5.27115e39 −0.124936
\(347\) −2.64560e40 2.64560e40i −0.598759 0.598759i 0.341223 0.939982i \(-0.389159\pi\)
−0.939982 + 0.341223i \(0.889159\pi\)
\(348\) 1.06989e38 1.06989e38i 0.00231244 0.00231244i
\(349\) 2.73612e40i 0.564845i 0.959290 + 0.282422i \(0.0911379\pi\)
−0.959290 + 0.282422i \(0.908862\pi\)
\(350\) −1.36493e40 8.33348e39i −0.269166 0.164338i
\(351\) 2.70458e40 0.509548
\(352\) 2.30948e40 + 2.30948e40i 0.415749 + 0.415749i
\(353\) 3.76900e39 3.76900e39i 0.0648382 0.0648382i −0.673944 0.738782i \(-0.735401\pi\)
0.738782 + 0.673944i \(0.235401\pi\)
\(354\) 1.05261e40i 0.173068i
\(355\) −9.11364e39 + 5.11372e39i −0.143231 + 0.0803680i
\(356\) −7.81881e40 −1.17474
\(357\) 2.33429e39 + 2.33429e39i 0.0335324 + 0.0335324i
\(358\) −1.53017e41 + 1.53017e41i −2.10189 + 2.10189i
\(359\) 8.73548e40i 1.14756i 0.819009 + 0.573780i \(0.194524\pi\)
−0.819009 + 0.573780i \(0.805476\pi\)
\(360\) 1.78796e41 + 5.02673e40i 2.24656 + 0.631605i
\(361\) 8.31982e40 0.999997
\(362\) 8.20475e40 + 8.20475e40i 0.943470 + 0.943470i
\(363\) −1.01600e40 + 1.01600e40i −0.111786 + 0.111786i
\(364\) 5.16059e40i 0.543347i
\(365\) 5.01818e40 1.78492e41i 0.505662 1.79860i
\(366\) −3.32600e39 −0.0320793
\(367\) 2.42775e40 + 2.42775e40i 0.224154 + 0.224154i 0.810245 0.586091i \(-0.199334\pi\)
−0.586091 + 0.810245i \(0.699334\pi\)
\(368\) 2.94058e41 2.94058e41i 2.59937 2.59937i
\(369\) 1.35355e41i 1.14566i
\(370\) −4.97864e40 8.87290e40i −0.403537 0.719181i
\(371\) 2.45375e40 0.190479
\(372\) −5.95870e40 5.95870e40i −0.443062 0.443062i
\(373\) −1.24174e41 + 1.24174e41i −0.884484 + 0.884484i −0.993987 0.109502i \(-0.965074\pi\)
0.109502 + 0.993987i \(0.465074\pi\)
\(374\) 1.60829e41i 1.09754i
\(375\) 2.00135e40 + 2.15437e40i 0.130865 + 0.140871i
\(376\) −6.09785e41 −3.82095
\(377\) −1.16120e39 1.16120e39i −0.00697341 0.00697341i
\(378\) 1.46226e40 1.46226e40i 0.0841697 0.0841697i
\(379\) 1.33324e41i 0.735667i −0.929892 0.367833i \(-0.880100\pi\)
0.929892 0.367833i \(-0.119900\pi\)
\(380\) 7.05668e38 3.95955e38i 0.00373304 0.00209463i
\(381\) −1.19708e40 −0.0607187
\(382\) −2.76351e41 2.76351e41i −1.34415 1.34415i
\(383\) 1.21302e41 1.21302e41i 0.565833 0.565833i −0.365125 0.930958i \(-0.618974\pi\)
0.930958 + 0.365125i \(0.118974\pi\)
\(384\) 2.45445e40i 0.109813i
\(385\) −1.63503e40 4.59678e39i −0.0701706 0.0197280i
\(386\) −3.01144e41 −1.23987
\(387\) −1.96808e41 1.96808e41i −0.777440 0.777440i
\(388\) 3.43328e41 3.43328e41i 1.30137 1.30137i
\(389\) 2.36463e41i 0.860139i 0.902796 + 0.430070i \(0.141511\pi\)
−0.902796 + 0.430070i \(0.858489\pi\)
\(390\) −3.67121e40 + 1.30582e41i −0.128167 + 0.455879i
\(391\) 7.47949e41 2.50636
\(392\) 5.16754e41 + 5.16754e41i 1.66229 + 1.66229i
\(393\) 5.32297e40 5.32297e40i 0.164389 0.164389i
\(394\) 5.20435e41i 1.54322i
\(395\) −2.66295e41 4.74588e41i −0.758244 1.35134i
\(396\) 3.45750e41 0.945451
\(397\) −1.07880e41 1.07880e41i −0.283329 0.283329i 0.551106 0.834435i \(-0.314206\pi\)
−0.834435 + 0.551106i \(0.814206\pi\)
\(398\) 3.10182e41 3.10182e41i 0.782505 0.782505i
\(399\) 2.52154e37i 6.11082e-5i
\(400\) −4.68342e41 + 7.67090e41i −1.09044 + 1.78602i
\(401\) 1.19971e41 0.268391 0.134196 0.990955i \(-0.457155\pi\)
0.134196 + 0.990955i \(0.457155\pi\)
\(402\) 4.96013e40 + 4.96013e40i 0.106629 + 0.106629i
\(403\) −6.46724e41 + 6.46724e41i −1.33610 + 1.33610i
\(404\) 8.46606e41i 1.68105i
\(405\) 4.06871e41 2.28298e41i 0.776562 0.435734i
\(406\) −1.25563e39 −0.00230380
\(407\) −7.64057e40 7.64057e40i −0.134777 0.134777i
\(408\) 2.77150e41 2.77150e41i 0.470059 0.470059i
\(409\) 7.26242e41i 1.18443i −0.805781 0.592214i \(-0.798254\pi\)
0.805781 0.592214i \(-0.201746\pi\)
\(410\) −1.33213e42 3.74519e41i −2.08932 0.587397i
\(411\) 1.63284e41 0.246306
\(412\) 1.36232e42 + 1.36232e42i 1.97663 + 1.97663i
\(413\) 4.32093e40 4.32093e40i 0.0603081 0.0603081i
\(414\) 2.29855e42i 3.08637i
\(415\) 9.56780e40 3.40318e41i 0.123607 0.439659i
\(416\) −1.51429e42 −1.88241
\(417\) −5.49192e40 5.49192e40i −0.0656972 0.0656972i
\(418\) 8.68651e38 8.68651e38i 0.00100006 0.00100006i
\(419\) 1.35103e42i 1.49706i 0.663099 + 0.748532i \(0.269241\pi\)
−0.663099 + 0.748532i \(0.730759\pi\)
\(420\) 3.55031e40 + 6.32734e40i 0.0378684 + 0.0674889i
\(421\) −5.85490e41 −0.601182 −0.300591 0.953753i \(-0.597184\pi\)
−0.300591 + 0.953753i \(0.597184\pi\)
\(422\) 1.32055e42 + 1.32055e42i 1.30543 + 1.30543i
\(423\) −1.12809e42 + 1.12809e42i −1.07374 + 1.07374i
\(424\) 2.91333e42i 2.67015i
\(425\) −1.57118e42 + 3.79939e41i −1.38677 + 0.335344i
\(426\) 6.77740e40 0.0576115
\(427\) 1.36531e40 + 1.36531e40i 0.0111785 + 0.0111785i
\(428\) 1.53195e42 1.53195e42i 1.20821 1.20821i
\(429\) 1.44059e41i 0.109452i
\(430\) 2.48148e42 1.39237e42i 1.81642 1.01920i
\(431\) 7.83392e41 0.552513 0.276257 0.961084i \(-0.410906\pi\)
0.276257 + 0.961084i \(0.410906\pi\)
\(432\) −8.21790e41 8.21790e41i −0.558497 0.558497i
\(433\) −5.60168e41 + 5.60168e41i −0.366870 + 0.366870i −0.866334 0.499465i \(-0.833530\pi\)
0.499465 + 0.866334i \(0.333530\pi\)
\(434\) 6.99318e41i 0.441407i
\(435\) 2.22260e39 + 6.24867e38i 0.00135217 + 0.000380154i
\(436\) 2.33986e42 1.37217
\(437\) −4.03973e39 4.03973e39i −0.00228375 0.00228375i
\(438\) −8.50273e41 + 8.50273e41i −0.463417 + 0.463417i
\(439\) 2.47115e42i 1.29857i 0.760543 + 0.649287i \(0.224933\pi\)
−0.760543 + 0.649287i \(0.775067\pi\)
\(440\) −5.45775e41 + 1.94127e42i −0.276548 + 0.983657i
\(441\) 1.91197e42 0.934252
\(442\) −5.27265e42 5.27265e42i −2.48469 2.48469i
\(443\) 1.12421e40 1.12421e40i 0.00510960 0.00510960i −0.704547 0.709657i \(-0.748850\pi\)
0.709657 + 0.704547i \(0.248850\pi\)
\(444\) 4.61585e41i 0.202360i
\(445\) −5.83815e41 1.04047e42i −0.246896 0.440017i
\(446\) −2.33432e42 −0.952365
\(447\) −3.45718e41 3.45718e41i −0.136082 0.136082i
\(448\) −1.45234e41 + 1.45234e41i −0.0551595 + 0.0551595i
\(449\) 1.14064e42i 0.418028i 0.977913 + 0.209014i \(0.0670255\pi\)
−0.977913 + 0.209014i \(0.932975\pi\)
\(450\) 1.16760e42 + 4.82847e42i 0.412948 + 1.70769i
\(451\) −1.46962e42 −0.501625
\(452\) 1.27503e42 + 1.27503e42i 0.420056 + 0.420056i
\(453\) 2.26538e41 2.26538e41i 0.0720395 0.0720395i
\(454\) 2.96734e42i 0.910905i
\(455\) 6.86734e41 3.85331e41i 0.203520 0.114196i
\(456\) −2.99382e39 −0.000856620
\(457\) −2.06814e42 2.06814e42i −0.571375 0.571375i 0.361138 0.932513i \(-0.382388\pi\)
−0.932513 + 0.361138i \(0.882388\pi\)
\(458\) 1.44634e42 1.44634e42i 0.385854 0.385854i
\(459\) 2.09026e42i 0.538514i
\(460\) 1.58248e43 + 4.44904e42i 3.93744 + 1.10698i
\(461\) 7.62382e41 0.183214 0.0916068 0.995795i \(-0.470800\pi\)
0.0916068 + 0.995795i \(0.470800\pi\)
\(462\) 7.78871e40 + 7.78871e40i 0.0180798 + 0.0180798i
\(463\) 3.25834e42 3.25834e42i 0.730634 0.730634i −0.240111 0.970745i \(-0.577184\pi\)
0.970745 + 0.240111i \(0.0771839\pi\)
\(464\) 7.05665e40i 0.0152866i
\(465\) 3.48017e41 1.23787e42i 0.0728372 0.259075i
\(466\) −2.83715e41 −0.0573729
\(467\) 3.85475e42 + 3.85475e42i 0.753228 + 0.753228i 0.975080 0.221852i \(-0.0712103\pi\)
−0.221852 + 0.975080i \(0.571210\pi\)
\(468\) −1.13351e43 + 1.13351e43i −2.14039 + 2.14039i
\(469\) 4.07222e41i 0.0743132i
\(470\) −7.98100e42 1.42237e43i −1.40764 2.50869i
\(471\) −1.24820e41 −0.0212790
\(472\) −5.13022e42 5.13022e42i −0.845404 0.845404i
\(473\) 2.13683e42 2.13683e42i 0.340402 0.340402i
\(474\) 3.52930e42i 0.543544i
\(475\) 1.05382e40 + 6.43401e39i 0.00156916 + 0.000958041i
\(476\) −3.98841e42 −0.574233
\(477\) −5.38961e42 5.38961e42i −0.750349 0.750349i
\(478\) −8.59792e42 + 8.59792e42i −1.15757 + 1.15757i
\(479\) 1.17477e43i 1.52963i −0.644252 0.764813i \(-0.722831\pi\)
0.644252 0.764813i \(-0.277169\pi\)
\(480\) 1.85665e42 1.04178e42i 0.233814 0.131194i
\(481\) 5.00979e42 0.610237
\(482\) −1.76976e42 1.76976e42i −0.208527 0.208527i
\(483\) 3.62220e41 3.62220e41i 0.0412875 0.0412875i
\(484\) 1.73595e43i 1.91431i
\(485\) 7.13233e42 + 2.00520e42i 0.760964 + 0.213939i
\(486\) −9.69596e42 −1.00095
\(487\) 9.46302e42 + 9.46302e42i 0.945293 + 0.945293i 0.998579 0.0532860i \(-0.0169695\pi\)
−0.0532860 + 0.998579i \(0.516970\pi\)
\(488\) 1.62102e42 1.62102e42i 0.156701 0.156701i
\(489\) 3.43429e42i 0.321288i
\(490\) −5.29029e42 + 1.88171e43i −0.479007 + 1.70379i
\(491\) −8.07646e42 −0.707811 −0.353905 0.935281i \(-0.615147\pi\)
−0.353905 + 0.935281i \(0.615147\pi\)
\(492\) 4.43915e42 + 4.43915e42i 0.376581 + 0.376581i
\(493\) −8.97443e40 + 8.97443e40i −0.00736981 + 0.00736981i
\(494\) 5.69560e40i 0.00452802i
\(495\) 2.58164e42 + 4.60099e42i 0.198707 + 0.354134i
\(496\) 3.93017e43 2.92890
\(497\) −2.78209e41 2.78209e41i −0.0200756 0.0200756i
\(498\) −1.62115e42 + 1.62115e42i −0.113280 + 0.113280i
\(499\) 5.86916e42i 0.397162i 0.980085 + 0.198581i \(0.0636332\pi\)
−0.980085 + 0.198581i \(0.936367\pi\)
\(500\) −3.55026e43 1.30730e42i −2.32670 0.0856754i
\(501\) −8.03076e41 −0.0509745
\(502\) 2.91578e43 + 2.91578e43i 1.79265 + 1.79265i
\(503\) 9.39744e42 9.39744e42i 0.559657 0.559657i −0.369553 0.929210i \(-0.620489\pi\)
0.929210 + 0.369553i \(0.120489\pi\)
\(504\) 6.99254e42i 0.403410i
\(505\) −1.12660e43 + 6.32144e42i −0.629664 + 0.353308i
\(506\) 2.49564e43 1.35137
\(507\) −2.13143e42 2.13143e42i −0.111826 0.111826i
\(508\) 1.02267e43 1.02267e43i 0.519896 0.519896i
\(509\) 1.85122e43i 0.911957i 0.889991 + 0.455978i \(0.150711\pi\)
−0.889991 + 0.455978i \(0.849289\pi\)
\(510\) 1.00921e43 + 2.83733e42i 0.481793 + 0.135453i
\(511\) 6.98066e42 0.322970
\(512\) −3.39505e43 3.39505e43i −1.52239 1.52239i
\(513\) −1.12896e40 + 1.12896e40i −0.000490685 + 0.000490685i
\(514\) 3.11884e43i 1.31396i
\(515\) −7.95663e42 + 2.83010e43i −0.324948 + 1.15581i
\(516\) −1.29091e43 −0.511095
\(517\) −1.22482e43 1.22482e43i −0.470136 0.470136i
\(518\) 2.70860e42 2.70860e42i 0.100802 0.100802i
\(519\) 3.64906e41i 0.0131675i
\(520\) −4.57502e43 8.15357e43i −1.60081 2.85295i
\(521\) −4.40184e43 −1.49359 −0.746793 0.665056i \(-0.768408\pi\)
−0.746793 + 0.665056i \(0.768408\pi\)
\(522\) 2.75797e41 + 2.75797e41i 0.00907530 + 0.00907530i
\(523\) −2.58361e43 + 2.58361e43i −0.824516 + 0.824516i −0.986752 0.162236i \(-0.948129\pi\)
0.162236 + 0.986752i \(0.448129\pi\)
\(524\) 9.09490e43i 2.81512i
\(525\) −5.76902e41 + 9.44899e41i −0.0173202 + 0.0283685i
\(526\) −7.00976e42 −0.204141
\(527\) 4.99827e43 + 4.99827e43i 1.41205 + 1.41205i
\(528\) 4.37726e42 4.37726e42i 0.119966 0.119966i
\(529\) 7.84527e43i 2.08601i
\(530\) 6.79556e43 3.81303e43i 1.75312 0.983686i
\(531\) −1.89816e43 −0.475140
\(532\) 2.15417e40 + 2.15417e40i 0.000523231 + 0.000523231i
\(533\) 4.81801e43 4.81801e43i 1.13562 1.13562i
\(534\) 7.73751e42i 0.176987i
\(535\) 3.18248e43 + 8.94731e42i 0.706488 + 0.198624i
\(536\) −4.83494e43 −1.04173
\(537\) 1.05929e43 + 1.05929e43i 0.221527 + 0.221527i
\(538\) 8.77791e43 8.77791e43i 1.78186 1.78186i
\(539\) 2.07591e43i 0.409062i
\(540\) 1.24335e43 4.42250e43i 0.237845 0.845994i
\(541\) −8.17307e43 −1.51785 −0.758926 0.651177i \(-0.774275\pi\)
−0.758926 + 0.651177i \(0.774275\pi\)
\(542\) 6.05086e43 + 6.05086e43i 1.09101 + 1.09101i
\(543\) 5.67990e42 5.67990e42i 0.0994360 0.0994360i
\(544\) 1.17033e44i 1.98942i
\(545\) 1.74713e43 + 3.11372e43i 0.288391 + 0.513968i
\(546\) −5.10693e42 −0.0818611
\(547\) −6.54115e43 6.54115e43i −1.01826 1.01826i −0.999830 0.0184255i \(-0.994135\pi\)
−0.0184255 0.999830i \(-0.505865\pi\)
\(548\) −1.39495e44 + 1.39495e44i −2.10896 + 2.10896i
\(549\) 5.99773e42i 0.0880703i
\(550\) −5.24248e43 + 1.26772e43i −0.747712 + 0.180809i
\(551\) 9.69433e38 1.34305e−5
\(552\) −4.30063e43 4.30063e43i −0.578771 0.578771i
\(553\) 1.44876e43 1.44876e43i 0.189406 0.189406i
\(554\) 7.44438e43i 0.945524i
\(555\) −6.14245e42 + 3.44657e42i −0.0757973 + 0.0425303i
\(556\) 9.38357e43 1.12505
\(557\) −1.01533e44 1.01533e44i −1.18283 1.18283i −0.979007 0.203824i \(-0.934663\pi\)
−0.203824 0.979007i \(-0.565337\pi\)
\(558\) 1.53604e44 1.53604e44i 1.73882 1.73882i
\(559\) 1.40109e44i 1.54126i
\(560\) −3.25749e43 9.15819e42i −0.348237 0.0979042i
\(561\) 1.11337e43 0.115674
\(562\) 9.30630e43 + 9.30630e43i 0.939714 + 0.939714i
\(563\) 4.41398e43 4.41398e43i 0.433208 0.433208i −0.456510 0.889718i \(-0.650901\pi\)
0.889718 + 0.456510i \(0.150901\pi\)
\(564\) 7.39944e43i 0.705884i
\(565\) −7.44681e42 + 2.64877e43i −0.0690550 + 0.245623i
\(566\) 1.07380e44 0.967971
\(567\) 1.24204e43 + 1.24204e43i 0.108845 + 0.108845i
\(568\) −3.30317e43 + 3.30317e43i −0.281422 + 0.281422i
\(569\) 2.23566e44i 1.85187i −0.377689 0.925933i \(-0.623281\pi\)
0.377689 0.925933i \(-0.376719\pi\)
\(570\) −3.91838e40 6.98331e40i −0.000315579 0.000562424i
\(571\) 1.88532e43 0.147641 0.0738205 0.997272i \(-0.476481\pi\)
0.0738205 + 0.997272i \(0.476481\pi\)
\(572\) −1.23071e44 1.23071e44i −0.937168 0.937168i
\(573\) −1.91309e43 + 1.91309e43i −0.141665 + 0.141665i
\(574\) 5.20983e43i 0.375174i
\(575\) 5.89563e43 + 2.43806e44i 0.412900 + 1.70749i
\(576\) 6.38008e43 0.434576
\(577\) 1.36243e44 + 1.36243e44i 0.902611 + 0.902611i 0.995661 0.0930502i \(-0.0296617\pi\)
−0.0930502 + 0.995661i \(0.529662\pi\)
\(578\) −2.07313e44 + 2.07313e44i −1.33592 + 1.33592i
\(579\) 2.08473e43i 0.130675i
\(580\) −2.43261e42 + 1.36495e42i −0.0148328 + 0.00832280i
\(581\) 1.33095e43 0.0789485
\(582\) −3.39759e43 3.39759e43i −0.196066 0.196066i
\(583\) 5.85174e43 5.85174e43i 0.328540 0.328540i
\(584\) 8.28812e44i 4.52741i
\(585\) −2.35477e44 6.62026e43i −1.25157 0.351869i
\(586\) −3.49918e44 −1.80969
\(587\) 1.94584e44 + 1.94584e44i 0.979259 + 0.979259i 0.999789 0.0205303i \(-0.00653544\pi\)
−0.0205303 + 0.999789i \(0.506535\pi\)
\(588\) 6.27055e43 6.27055e43i 0.307092 0.307092i
\(589\) 5.39921e41i 0.00257327i
\(590\) 5.25208e43 1.86812e44i 0.243612 0.866507i
\(591\) 3.60282e43 0.162646
\(592\) −1.52223e44 1.52223e44i −0.668858 0.668858i
\(593\) −8.07127e43 + 8.07127e43i −0.345197 + 0.345197i −0.858317 0.513120i \(-0.828490\pi\)
0.513120 + 0.858317i \(0.328490\pi\)
\(594\) 6.97445e43i 0.290353i
\(595\) −2.97806e43 5.30749e43i −0.120688 0.215089i
\(596\) 5.90699e44 2.33038
\(597\) −2.14730e43 2.14730e43i −0.0824713 0.0824713i
\(598\) −8.18174e44 + 8.18174e44i −3.05933 + 3.05933i
\(599\) 6.48099e43i 0.235946i −0.993017 0.117973i \(-0.962360\pi\)
0.993017 0.117973i \(-0.0376396\pi\)
\(600\) 1.12188e44 + 6.84954e43i 0.397672 + 0.242796i
\(601\) −2.21893e44 −0.765865 −0.382933 0.923776i \(-0.625086\pi\)
−0.382933 + 0.923776i \(0.625086\pi\)
\(602\) 7.57513e43 + 7.57513e43i 0.254593 + 0.254593i
\(603\) −8.94455e43 + 8.94455e43i −0.292740 + 0.292740i
\(604\) 3.87067e44i 1.23366i
\(605\) 2.31008e44 1.29620e44i 0.717037 0.402334i
\(606\) 8.37803e43 0.253268
\(607\) −1.45859e44 1.45859e44i −0.429451 0.429451i 0.458990 0.888441i \(-0.348211\pi\)
−0.888441 + 0.458990i \(0.848211\pi\)
\(608\) 6.32105e41 6.32105e41i 0.00181273 0.00181273i
\(609\) 8.69236e40i 0.000242807i
\(610\) 5.90280e43 + 1.65953e43i 0.160613 + 0.0451552i
\(611\) 8.03094e44 2.12866
\(612\) 8.76045e44 + 8.76045e44i 2.26206 + 2.26206i
\(613\) 5.13025e44 5.13025e44i 1.29054 1.29054i 0.356084 0.934454i \(-0.384112\pi\)
0.934454 0.356084i \(-0.115888\pi\)
\(614\) 6.11445e44i 1.49852i
\(615\) −2.59268e43 + 9.22193e43i −0.0619081 + 0.220201i
\(616\) −7.59212e43 −0.176633
\(617\) −3.30744e44 3.30744e44i −0.749772 0.749772i 0.224664 0.974436i \(-0.427872\pi\)
−0.974436 + 0.224664i \(0.927872\pi\)
\(618\) 1.34816e44 1.34816e44i 0.297800 0.297800i
\(619\) 7.05795e44i 1.51925i 0.650364 + 0.759623i \(0.274616\pi\)
−0.650364 + 0.759623i \(0.725384\pi\)
\(620\) 7.60204e44 + 1.35483e45i 1.59464 + 2.84196i
\(621\) −3.24352e44 −0.663057
\(622\) −5.79762e44 5.79762e44i −1.15506 1.15506i
\(623\) 3.17621e43 3.17621e43i 0.0616738 0.0616738i
\(624\) 2.87009e44i 0.543179i
\(625\) −2.47694e44 4.82205e44i −0.456915 0.889510i
\(626\) −1.31647e45 −2.36713
\(627\) −6.01341e40 6.01341e40i −0.000105400 0.000105400i
\(628\) 1.06635e44 1.06635e44i 0.182199 0.182199i
\(629\) 3.87186e44i 0.644926i
\(630\) −1.63106e44 + 9.15200e43i −0.264864 + 0.148617i
\(631\) 2.94853e44 0.466805 0.233402 0.972380i \(-0.425014\pi\)
0.233402 + 0.972380i \(0.425014\pi\)
\(632\) −1.72011e45 1.72011e45i −2.65511 2.65511i
\(633\) 9.14176e43 9.14176e43i 0.137585 0.137585i
\(634\) 7.74577e44i 1.13668i
\(635\) 2.12451e44 + 5.97289e43i 0.304003 + 0.0854683i
\(636\) −3.53518e44 −0.493285
\(637\) −6.80571e44 6.80571e44i −0.926068 0.926068i
\(638\) −2.99445e42 + 2.99445e42i −0.00397362 + 0.00397362i
\(639\) 1.22216e44i 0.158166i
\(640\) 1.22467e44 4.35603e44i 0.154575 0.549808i
\(641\) 1.31960e45 1.62447 0.812236 0.583329i \(-0.198250\pi\)
0.812236 + 0.583329i \(0.198250\pi\)
\(642\) −1.51602e44 1.51602e44i −0.182030 0.182030i
\(643\) −2.95984e44 + 2.95984e44i −0.346651 + 0.346651i −0.858860 0.512210i \(-0.828827\pi\)
0.512210 + 0.858860i \(0.328827\pi\)
\(644\) 6.18894e44i 0.707038i
\(645\) −9.63899e43 1.71785e44i −0.107418 0.191439i
\(646\) 4.40190e42 0.00478541
\(647\) 6.41039e44 + 6.41039e44i 0.679855 + 0.679855i 0.959967 0.280113i \(-0.0903718\pi\)
−0.280113 + 0.959967i \(0.590372\pi\)
\(648\) 1.47467e45 1.47467e45i 1.52579 1.52579i
\(649\) 2.06092e44i 0.208040i
\(650\) 1.30309e45 2.13432e45i 1.28340 2.10206i
\(651\) 4.84117e43 0.0465216
\(652\) 2.93394e45 + 2.93394e45i 2.75099 + 2.75099i
\(653\) −8.98199e44 + 8.98199e44i −0.821792 + 0.821792i −0.986365 0.164573i \(-0.947375\pi\)
0.164573 + 0.986365i \(0.447375\pi\)
\(654\) 2.31553e44i 0.206732i
\(655\) −1.21028e45 + 6.79098e44i −1.05445 + 0.591659i
\(656\) −2.92792e45 −2.48942
\(657\) −1.53329e45 1.53329e45i −1.27226 1.27226i
\(658\) 4.34202e44 4.34202e44i 0.351623 0.351623i
\(659\) 2.09807e45i 1.65827i 0.559052 + 0.829133i \(0.311165\pi\)
−0.559052 + 0.829133i \(0.688835\pi\)
\(660\) 2.35564e44 + 6.62270e43i 0.181721 + 0.0510896i
\(661\) −3.92624e43 −0.0295634 −0.0147817 0.999891i \(-0.504705\pi\)
−0.0147817 + 0.999891i \(0.504705\pi\)
\(662\) 2.72037e45 + 2.72037e45i 1.99940 + 1.99940i
\(663\) −3.65010e44 + 3.65010e44i −0.261871 + 0.261871i
\(664\) 1.58023e45i 1.10671i
\(665\) −1.25814e41 + 4.47509e41i −8.60166e−5 + 0.000305954i
\(666\) −1.18988e45 −0.794172
\(667\) 1.39259e43 + 1.39259e43i 0.00907425 + 0.00907425i
\(668\) 6.86073e44 6.86073e44i 0.436463 0.436463i
\(669\) 1.61598e44i 0.100373i
\(670\) −6.32808e44 1.12779e45i −0.383773 0.683958i
\(671\) 6.51201e43 0.0385616
\(672\) 5.66773e43 + 5.66773e43i 0.0327719 + 0.0327719i
\(673\) −1.35579e45 + 1.35579e45i −0.765511 + 0.765511i −0.977313 0.211802i \(-0.932067\pi\)
0.211802 + 0.977313i \(0.432067\pi\)
\(674\) 1.90741e45i 1.05168i
\(675\) 6.81353e44 1.64762e44i 0.366870 0.0887152i
\(676\) 3.64180e45 1.91500
\(677\) −8.28262e43 8.28262e43i −0.0425353 0.0425353i 0.685519 0.728055i \(-0.259575\pi\)
−0.728055 + 0.685519i \(0.759575\pi\)
\(678\) 1.26178e44 1.26178e44i 0.0632859 0.0632859i
\(679\) 2.78939e44i 0.136644i
\(680\) −6.30156e45 + 3.53585e45i −3.01513 + 1.69181i
\(681\) 2.05420e44 0.0960039
\(682\) 1.66774e45 + 1.66774e45i 0.761341 + 0.761341i
\(683\) 2.90358e44 2.90358e44i 0.129480 0.129480i −0.639397 0.768877i \(-0.720816\pi\)
0.768877 + 0.639397i \(0.220816\pi\)
\(684\) 9.46318e42i 0.00412230i
\(685\) −2.89788e45 8.14717e44i −1.23319 0.346703i
\(686\) −1.49450e45 −0.621314
\(687\) −1.00126e44 1.00126e44i −0.0406666 0.0406666i
\(688\) 4.25722e45 4.25722e45i 1.68932 1.68932i
\(689\) 3.83689e45i 1.48755i
\(690\) 4.40278e44 1.56603e45i 0.166779 0.593218i
\(691\) 4.36777e45 1.61663 0.808317 0.588748i \(-0.200379\pi\)
0.808317 + 0.588748i \(0.200379\pi\)
\(692\) −3.11742e44 3.11742e44i −0.112745 0.112745i
\(693\) −1.40453e44 + 1.40453e44i −0.0496362 + 0.0496362i
\(694\) 4.47330e45i 1.54481i
\(695\) 7.00652e44 + 1.24870e45i 0.236453 + 0.421406i
\(696\) 1.03204e43 0.00340369
\(697\) −3.72364e45 3.72364e45i −1.20017 1.20017i
\(698\) −2.31319e45 + 2.31319e45i −0.728658 + 0.728658i
\(699\) 1.96407e43i 0.00604676i
\(700\) −3.14382e44 1.30009e45i −0.0945996 0.391204i
\(701\) 6.04918e45 1.77913 0.889567 0.456806i \(-0.151006\pi\)
0.889567 + 0.456806i \(0.151006\pi\)
\(702\) 2.28651e45 + 2.28651e45i 0.657325 + 0.657325i
\(703\) −2.09122e42 + 2.09122e42i −0.000587645 + 0.000587645i
\(704\) 6.92714e44i 0.190279i
\(705\) −9.84664e44 + 5.52501e44i −0.264401 + 0.148357i
\(706\) 6.37281e44 0.167284
\(707\) −3.43914e44 3.43914e44i −0.0882550 0.0882550i
\(708\) −6.22527e44 + 6.22527e44i −0.156180 + 0.156180i
\(709\) 3.60443e45i 0.884091i −0.896993 0.442045i \(-0.854253\pi\)
0.896993 0.442045i \(-0.145747\pi\)
\(710\) −1.20282e45 3.38163e44i −0.288447 0.0810947i
\(711\) −6.36434e45 −1.49224
\(712\) −3.77111e45 3.77111e45i −0.864547 0.864547i
\(713\) 7.75598e45 7.75598e45i 1.73862 1.73862i
\(714\) 3.94694e44i 0.0865145i
\(715\) 7.18791e44 2.55668e45i 0.154066 0.547998i
\(716\) −1.80992e46 −3.79359
\(717\) 5.95208e44 + 5.95208e44i 0.122001 + 0.122001i
\(718\) −7.38518e45 + 7.38518e45i −1.48037 + 1.48037i
\(719\) 1.14528e45i 0.224517i 0.993679 + 0.112258i \(0.0358084\pi\)
−0.993679 + 0.112258i \(0.964192\pi\)
\(720\) 5.14343e45 + 9.16658e45i 0.986126 + 1.75747i
\(721\) −1.10683e45 −0.207546
\(722\) 7.03377e45 + 7.03377e45i 1.29001 + 1.29001i
\(723\) −1.22515e44 + 1.22515e44i −0.0219775 + 0.0219775i
\(724\) 9.70476e45i 1.70282i
\(725\) −3.63276e43 2.21796e43i −0.00623489 0.00380667i
\(726\) −1.71790e45 −0.288412
\(727\) −1.34397e45 1.34397e45i −0.220719 0.220719i 0.588082 0.808801i \(-0.299883\pi\)
−0.808801 + 0.588082i \(0.799883\pi\)
\(728\) 2.48901e45 2.48901e45i 0.399876 0.399876i
\(729\) 4.99447e45i 0.784963i
\(730\) 1.93327e46 1.08477e46i 2.97253 1.66790i
\(731\) 1.08284e46 1.62887
\(732\) −1.96703e44 1.96703e44i −0.0289490 0.0289490i
\(733\) −1.38366e45 + 1.38366e45i −0.199235 + 0.199235i −0.799672 0.600437i \(-0.794993\pi\)
0.600437 + 0.799672i \(0.294993\pi\)
\(734\) 4.10496e45i 0.578325i
\(735\) 1.30265e45 + 3.66231e44i 0.179569 + 0.0504844i
\(736\) 1.81604e46 2.44952
\(737\) −9.71150e44 9.71150e44i −0.128176 0.128176i
\(738\) −1.14433e46 + 1.14433e46i −1.47791 + 1.47791i
\(739\) 8.35853e45i 1.05638i 0.849127 + 0.528188i \(0.177128\pi\)
−0.849127 + 0.528188i \(0.822872\pi\)
\(740\) 2.30311e45 8.19196e45i 0.284844 1.01317i
\(741\) 3.94290e42 0.000477226
\(742\) 2.07446e45 + 2.07446e45i 0.245721 + 0.245721i
\(743\) 3.30450e45 3.30450e45i 0.383075 0.383075i −0.489134 0.872209i \(-0.662687\pi\)
0.872209 + 0.489134i \(0.162687\pi\)
\(744\) 5.74791e45i 0.652143i
\(745\) 4.41063e45 + 7.86060e45i 0.489779 + 0.872882i
\(746\) −2.09960e46 −2.28200
\(747\) −2.92341e45 2.92341e45i −0.310999 0.310999i
\(748\) −9.51162e45 + 9.51162e45i −0.990442 + 0.990442i
\(749\) 1.24464e45i 0.126862i
\(750\) −1.29371e44 + 3.51334e45i −0.0129079 + 0.350542i
\(751\) 3.17733e45 0.310330 0.155165 0.987889i \(-0.450409\pi\)
0.155165 + 0.987889i \(0.450409\pi\)
\(752\) −2.44022e46 2.44022e46i −2.33315 2.33315i
\(753\) 2.01850e45 2.01850e45i 0.188934