Properties

Label 4.37.b.b.3.14
Level 4
Weight 37
Character 4.3
Analytic conductor 32.837
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 4 = 2^{2} \)
Weight: \( k \) \(=\) \( 37 \)
Character orbit: \([\chi]\) \(=\) 4.b (of order \(2\), degree \(1\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(32.8365034637\)
Analytic rank: \(0\)
Dimension: \(16\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 6516989503065492 x^{14} + \)\(17\!\cdots\!98\)\( x^{12} + \)\(23\!\cdots\!44\)\( x^{10} + \)\(17\!\cdots\!45\)\( x^{8} + \)\(72\!\cdots\!20\)\( x^{6} + \)\(15\!\cdots\!00\)\( x^{4} + \)\(15\!\cdots\!00\)\( x^{2} + \)\(51\!\cdots\!00\)\(\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: multiple of \( 2^{240}\cdot 3^{24}\cdot 5^{6}\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.14
Root \(2.71780e7i\) of defining polynomial
Character \(\chi\) \(=\) 4.3
Dual form 4.37.b.b.3.13

$q$-expansion

\(f(q)\) \(=\) \(q+(194816. + 175403. i) q^{2} +4.34848e8i q^{3} +(7.18697e9 + 6.83426e10i) q^{4} -7.52461e12 q^{5} +(-7.62737e13 + 8.47153e13i) q^{6} +2.26538e15i q^{7} +(-1.05874e16 + 1.45748e16i) q^{8} -3.89984e16 q^{9} +O(q^{10})\) \(q+(194816. + 175403. i) q^{2} +4.34848e8i q^{3} +(7.18697e9 + 6.83426e10i) q^{4} -7.52461e12 q^{5} +(-7.62737e13 + 8.47153e13i) q^{6} +2.26538e15i q^{7} +(-1.05874e16 + 1.45748e16i) q^{8} -3.89984e16 q^{9} +(-1.46591e18 - 1.31984e18i) q^{10} +3.43277e17i q^{11} +(-2.97187e19 + 3.12524e18i) q^{12} +4.11380e19 q^{13} +(-3.97354e20 + 4.41331e20i) q^{14} -3.27207e21i q^{15} +(-4.61906e21 + 9.82353e20i) q^{16} +1.36790e22 q^{17} +(-7.59750e21 - 6.84044e21i) q^{18} -6.68442e21i q^{19} +(-5.40792e22 - 5.14252e23i) q^{20} -9.85095e23 q^{21} +(-6.02118e22 + 6.68757e22i) q^{22} +3.00330e24i q^{23} +(-6.33785e24 - 4.60390e24i) q^{24} +4.20679e25 q^{25} +(8.01434e24 + 7.21574e24i) q^{26} +4.83100e25i q^{27} +(-1.54822e26 + 1.62812e25i) q^{28} -1.64857e26 q^{29} +(5.73930e26 - 6.37450e26i) q^{30} -4.32456e26i q^{31} +(-1.07217e27 - 6.18820e26i) q^{32} -1.49273e26 q^{33} +(2.66488e27 + 2.39933e27i) q^{34} -1.70461e28i q^{35} +(-2.80280e26 - 2.66525e27i) q^{36} -2.47476e27 q^{37} +(1.17247e27 - 1.30223e27i) q^{38} +1.78888e28i q^{39} +(7.96659e28 - 1.09670e29i) q^{40} +3.98388e28 q^{41} +(-1.91912e29 - 1.72789e29i) q^{42} -3.42354e29i q^{43} +(-2.34604e28 + 2.46712e27i) q^{44} +2.93448e29 q^{45} +(-5.26789e29 + 5.85091e29i) q^{46} +7.98074e29i q^{47} +(-4.27174e29 - 2.00859e30i) q^{48} -2.48020e30 q^{49} +(8.19549e30 + 7.37884e30i) q^{50} +5.94827e30i q^{51} +(2.95658e29 + 2.81148e30i) q^{52} -1.60293e30 q^{53} +(-8.47373e30 + 9.41156e30i) q^{54} -2.58302e30i q^{55} +(-3.30175e31 - 2.39844e31i) q^{56} +2.90671e30 q^{57} +(-3.21168e31 - 2.89165e31i) q^{58} +8.75336e31i q^{59} +(2.23622e32 - 2.35162e31i) q^{60} -3.85746e31 q^{61} +(7.58541e31 - 8.42493e31i) q^{62} -8.83460e31i q^{63} +(-1.00334e32 - 3.08619e32i) q^{64} -3.09548e32 q^{65} +(-2.90808e31 - 2.61830e31i) q^{66} -7.88595e32i q^{67} +(9.83103e31 + 9.34856e32i) q^{68} -1.30598e33 q^{69} +(2.98994e33 - 3.32085e33i) q^{70} +3.14638e33i q^{71} +(4.12890e32 - 5.68395e32i) q^{72} -3.43035e33 q^{73} +(-4.82122e32 - 4.34081e32i) q^{74} +1.82932e34i q^{75} +(4.56831e32 - 4.80407e31i) q^{76} -7.77650e32 q^{77} +(-3.13775e33 + 3.48502e33i) q^{78} -9.73086e33i q^{79} +(3.47567e34 - 7.39182e33i) q^{80} -2.68610e34 q^{81} +(7.76123e33 + 6.98785e33i) q^{82} +3.05582e34i q^{83} +(-7.07985e33 - 6.73240e34i) q^{84} -1.02929e35 q^{85} +(6.00500e34 - 6.66961e34i) q^{86} -7.16879e34i q^{87} +(-5.00320e33 - 3.63440e33i) q^{88} +1.54289e35 q^{89} +(5.71683e34 + 5.14717e34i) q^{90} +9.31931e34i q^{91} +(-2.05254e35 + 2.15847e34i) q^{92} +1.88053e35 q^{93} +(-1.39985e35 + 1.55477e35i) q^{94} +5.02977e34i q^{95} +(2.69093e35 - 4.66233e35i) q^{96} -2.22436e35 q^{97} +(-4.83181e35 - 4.35034e35i) q^{98} -1.33872e34i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} + O(q^{10}) \) \( 16q + 177228q^{2} - 5610707696q^{4} + 5816089539360q^{5} - 217628996575488q^{6} + 11897560228206528q^{8} - 935184460817545968q^{9} - 2378142919315561000q^{10} - 42882825786868930560q^{12} + \)\(19\!\cdots\!76\)\(q^{13} + \)\(36\!\cdots\!28\)\(q^{14} - \)\(22\!\cdots\!84\)\(q^{16} + \)\(41\!\cdots\!76\)\(q^{17} + \)\(13\!\cdots\!68\)\(q^{18} + \)\(10\!\cdots\!40\)\(q^{20} - \)\(17\!\cdots\!96\)\(q^{21} - \)\(43\!\cdots\!40\)\(q^{22} + \)\(51\!\cdots\!68\)\(q^{24} + \)\(61\!\cdots\!00\)\(q^{25} - \)\(70\!\cdots\!40\)\(q^{26} - \)\(30\!\cdots\!00\)\(q^{28} - \)\(95\!\cdots\!52\)\(q^{29} + \)\(36\!\cdots\!20\)\(q^{30} + \)\(46\!\cdots\!48\)\(q^{32} - \)\(87\!\cdots\!60\)\(q^{33} - \)\(90\!\cdots\!20\)\(q^{34} - \)\(92\!\cdots\!92\)\(q^{36} - \)\(30\!\cdots\!84\)\(q^{37} + \)\(78\!\cdots\!80\)\(q^{38} - \)\(13\!\cdots\!00\)\(q^{40} + \)\(99\!\cdots\!12\)\(q^{41} - \)\(19\!\cdots\!00\)\(q^{42} + \)\(30\!\cdots\!60\)\(q^{44} + \)\(15\!\cdots\!20\)\(q^{45} - \)\(91\!\cdots\!28\)\(q^{46} - \)\(15\!\cdots\!20\)\(q^{48} - \)\(11\!\cdots\!48\)\(q^{49} + \)\(11\!\cdots\!00\)\(q^{50} + \)\(16\!\cdots\!56\)\(q^{52} + \)\(20\!\cdots\!56\)\(q^{53} - \)\(42\!\cdots\!84\)\(q^{54} - \)\(18\!\cdots\!68\)\(q^{56} - \)\(17\!\cdots\!80\)\(q^{57} + \)\(33\!\cdots\!56\)\(q^{58} - \)\(69\!\cdots\!00\)\(q^{60} + \)\(21\!\cdots\!32\)\(q^{61} + \)\(40\!\cdots\!80\)\(q^{62} - \)\(26\!\cdots\!96\)\(q^{64} - \)\(20\!\cdots\!00\)\(q^{65} - \)\(81\!\cdots\!60\)\(q^{66} + \)\(35\!\cdots\!56\)\(q^{68} + \)\(39\!\cdots\!56\)\(q^{69} + \)\(31\!\cdots\!80\)\(q^{70} - \)\(18\!\cdots\!32\)\(q^{72} - \)\(13\!\cdots\!64\)\(q^{73} + \)\(76\!\cdots\!40\)\(q^{74} - \)\(15\!\cdots\!60\)\(q^{76} + \)\(22\!\cdots\!00\)\(q^{77} - \)\(18\!\cdots\!60\)\(q^{78} + \)\(67\!\cdots\!60\)\(q^{80} - \)\(40\!\cdots\!00\)\(q^{81} + \)\(43\!\cdots\!36\)\(q^{82} - \)\(37\!\cdots\!64\)\(q^{84} - \)\(20\!\cdots\!00\)\(q^{85} + \)\(10\!\cdots\!32\)\(q^{86} + \)\(39\!\cdots\!80\)\(q^{88} + \)\(46\!\cdots\!88\)\(q^{89} - \)\(36\!\cdots\!00\)\(q^{90} - \)\(17\!\cdots\!80\)\(q^{92} - \)\(23\!\cdots\!80\)\(q^{93} - \)\(69\!\cdots\!32\)\(q^{94} + \)\(10\!\cdots\!72\)\(q^{96} + \)\(45\!\cdots\!96\)\(q^{97} + \)\(10\!\cdots\!28\)\(q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/4\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 194816. + 175403.i 0.743164 + 0.669110i
\(3\) 4.34848e8i 1.12242i 0.827674 + 0.561210i \(0.189664\pi\)
−0.827674 + 0.561210i \(0.810336\pi\)
\(4\) 7.18697e9 + 6.83426e10i 0.104584 + 0.994516i
\(5\) −7.52461e12 −1.97253 −0.986266 0.165163i \(-0.947185\pi\)
−0.986266 + 0.165163i \(0.947185\pi\)
\(6\) −7.62737e13 + 8.47153e13i −0.751022 + 0.834141i
\(7\) 2.26538e15i 1.39115i 0.718451 + 0.695577i \(0.244851\pi\)
−0.718451 + 0.695577i \(0.755149\pi\)
\(8\) −1.05874e16 + 1.45748e16i −0.587717 + 0.809066i
\(9\) −3.89984e16 −0.259825
\(10\) −1.46591e18 1.31984e18i −1.46591 1.31984i
\(11\) 3.43277e17i 0.0617413i 0.999523 + 0.0308707i \(0.00982799\pi\)
−0.999523 + 0.0308707i \(0.990172\pi\)
\(12\) −2.97187e19 + 3.12524e18i −1.11626 + 0.117387i
\(13\) 4.11380e19 0.365816 0.182908 0.983130i \(-0.441449\pi\)
0.182908 + 0.983130i \(0.441449\pi\)
\(14\) −3.97354e20 + 4.41331e20i −0.930835 + 1.03386i
\(15\) 3.27207e21i 2.21401i
\(16\) −4.61906e21 + 9.82353e20i −0.978124 + 0.208021i
\(17\) 1.36790e22 0.972686 0.486343 0.873768i \(-0.338331\pi\)
0.486343 + 0.873768i \(0.338331\pi\)
\(18\) −7.59750e21 6.84044e21i −0.193093 0.173852i
\(19\) 6.68442e21i 0.0641947i −0.999485 0.0320973i \(-0.989781\pi\)
0.999485 0.0320973i \(-0.0102187\pi\)
\(20\) −5.40792e22 5.14252e23i −0.206296 1.96172i
\(21\) −9.85095e23 −1.56146
\(22\) −6.02118e22 + 6.68757e22i −0.0413117 + 0.0458839i
\(23\) 3.00330e24i 0.925760i 0.886421 + 0.462880i \(0.153184\pi\)
−0.886421 + 0.462880i \(0.846816\pi\)
\(24\) −6.33785e24 4.60390e24i −0.908112 0.659665i
\(25\) 4.20679e25 2.89088
\(26\) 8.01434e24 + 7.21574e24i 0.271861 + 0.244771i
\(27\) 4.83100e25i 0.830786i
\(28\) −1.54822e26 + 1.62812e25i −1.38353 + 0.145493i
\(29\) −1.64857e26 −0.783329 −0.391665 0.920108i \(-0.628101\pi\)
−0.391665 + 0.920108i \(0.628101\pi\)
\(30\) 5.73930e26 6.37450e26i 1.48141 1.64537i
\(31\) 4.32456e26i 0.618631i −0.950960 0.309315i \(-0.899900\pi\)
0.950960 0.309315i \(-0.100100\pi\)
\(32\) −1.07217e27 6.18820e26i −0.866095 0.499879i
\(33\) −1.49273e26 −0.0692996
\(34\) 2.66488e27 + 2.39933e27i 0.722865 + 0.650834i
\(35\) 1.70461e28i 2.74410i
\(36\) −2.80280e26 2.66525e27i −0.0271736 0.258400i
\(37\) −2.47476e27 −0.146522 −0.0732609 0.997313i \(-0.523341\pi\)
−0.0732609 + 0.997313i \(0.523341\pi\)
\(38\) 1.17247e27 1.30223e27i 0.0429533 0.0477071i
\(39\) 1.78888e28i 0.410599i
\(40\) 7.96659e28 1.09670e29i 1.15929 1.59591i
\(41\) 3.98388e28 0.371704 0.185852 0.982578i \(-0.440496\pi\)
0.185852 + 0.982578i \(0.440496\pi\)
\(42\) −1.91912e29 1.72789e29i −1.16042 1.04479i
\(43\) 3.42354e29i 1.35533i −0.735373 0.677663i \(-0.762993\pi\)
0.735373 0.677663i \(-0.237007\pi\)
\(44\) −2.34604e28 + 2.46712e27i −0.0614027 + 0.00645716i
\(45\) 2.93448e29 0.512514
\(46\) −5.26789e29 + 5.85091e29i −0.619435 + 0.687991i
\(47\) 7.98074e29i 0.637208i 0.947888 + 0.318604i \(0.103214\pi\)
−0.947888 + 0.318604i \(0.896786\pi\)
\(48\) −4.27174e29 2.00859e30i −0.233487 1.09787i
\(49\) −2.48020e30 −0.935312
\(50\) 8.19549e30 + 7.37884e30i 2.14840 + 1.93432i
\(51\) 5.94827e30i 1.09176i
\(52\) 2.95658e29 + 2.81148e30i 0.0382586 + 0.363810i
\(53\) −1.60293e30 −0.147214 −0.0736070 0.997287i \(-0.523451\pi\)
−0.0736070 + 0.997287i \(0.523451\pi\)
\(54\) −8.47373e30 + 9.41156e30i −0.555887 + 0.617410i
\(55\) 2.58302e30i 0.121787i
\(56\) −3.30175e31 2.39844e31i −1.12554 0.817606i
\(57\) 2.90671e30 0.0720533
\(58\) −3.21168e31 2.89165e31i −0.582142 0.524133i
\(59\) 8.75336e31i 1.16638i 0.812337 + 0.583188i \(0.198195\pi\)
−0.812337 + 0.583188i \(0.801805\pi\)
\(60\) 2.23622e32 2.35162e31i 2.20187 0.231550i
\(61\) −3.85746e31 −0.282075 −0.141037 0.990004i \(-0.545044\pi\)
−0.141037 + 0.990004i \(0.545044\pi\)
\(62\) 7.58541e31 8.42493e31i 0.413932 0.459744i
\(63\) 8.83460e31i 0.361457i
\(64\) −1.00334e32 3.08619e32i −0.309177 0.951005i
\(65\) −3.09548e32 −0.721584
\(66\) −2.90808e31 2.61830e31i −0.0515010 0.0463691i
\(67\) 7.88595e32i 1.06539i −0.846308 0.532694i \(-0.821180\pi\)
0.846308 0.532694i \(-0.178820\pi\)
\(68\) 9.83103e31 + 9.34856e32i 0.101728 + 0.967352i
\(69\) −1.30598e33 −1.03909
\(70\) 2.98994e33 3.32085e33i 1.83610 2.03931i
\(71\) 3.14638e33i 1.49679i 0.663254 + 0.748395i \(0.269175\pi\)
−0.663254 + 0.748395i \(0.730825\pi\)
\(72\) 4.12890e32 5.68395e32i 0.152704 0.210216i
\(73\) −3.43035e33 −0.989755 −0.494877 0.868963i \(-0.664787\pi\)
−0.494877 + 0.868963i \(0.664787\pi\)
\(74\) −4.82122e32 4.34081e32i −0.108890 0.0980391i
\(75\) 1.82932e34i 3.24478i
\(76\) 4.56831e32 4.80407e31i 0.0638426 0.00671375i
\(77\) −7.77650e32 −0.0858917
\(78\) −3.13775e33 + 3.48502e33i −0.274736 + 0.305142i
\(79\) 9.73086e33i 0.677429i −0.940889 0.338714i \(-0.890008\pi\)
0.940889 0.338714i \(-0.109992\pi\)
\(80\) 3.47567e34 7.39182e33i 1.92938 0.410329i
\(81\) −2.68610e34 −1.19232
\(82\) 7.76123e33 + 6.98785e33i 0.276237 + 0.248711i
\(83\) 3.05582e34i 0.874424i 0.899359 + 0.437212i \(0.144034\pi\)
−0.899359 + 0.437212i \(0.855966\pi\)
\(84\) −7.07985e33 6.73240e34i −0.163304 1.55290i
\(85\) −1.02929e35 −1.91865
\(86\) 6.00500e34 6.66961e34i 0.906862 1.00723i
\(87\) 7.16879e34i 0.879224i
\(88\) −5.00320e33 3.63440e33i −0.0499528 0.0362864i
\(89\) 1.54289e35 1.25694 0.628471 0.777833i \(-0.283681\pi\)
0.628471 + 0.777833i \(0.283681\pi\)
\(90\) 5.71683e34 + 5.14717e34i 0.380882 + 0.342928i
\(91\) 9.31931e34i 0.508907i
\(92\) −2.05254e35 + 2.15847e34i −0.920683 + 0.0968198i
\(93\) 1.88053e35 0.694363
\(94\) −1.39985e35 + 1.55477e35i −0.426362 + 0.473550i
\(95\) 5.02977e34i 0.126626i
\(96\) 2.69093e35 4.66233e35i 0.561074 0.972122i
\(97\) −2.22436e35 −0.384870 −0.192435 0.981310i \(-0.561638\pi\)
−0.192435 + 0.981310i \(0.561638\pi\)
\(98\) −4.83181e35 4.35034e35i −0.695090 0.625826i
\(99\) 1.33872e34i 0.0160420i
\(100\) 3.02341e35 + 2.87503e36i 0.302341 + 2.87503i
\(101\) −8.23756e35 −0.688674 −0.344337 0.938846i \(-0.611896\pi\)
−0.344337 + 0.938846i \(0.611896\pi\)
\(102\) −1.04335e36 + 1.15882e36i −0.730508 + 0.811357i
\(103\) 2.38014e36i 1.39808i −0.715081 0.699042i \(-0.753610\pi\)
0.715081 0.699042i \(-0.246390\pi\)
\(104\) −4.35544e35 + 5.99580e35i −0.214997 + 0.295970i
\(105\) 7.41246e36 3.08003
\(106\) −3.12276e35 2.81159e35i −0.109404 0.0985023i
\(107\) 5.96349e34i 0.0176438i 0.999961 + 0.00882190i \(0.00280814\pi\)
−0.999961 + 0.00882190i \(0.997192\pi\)
\(108\) −3.30163e36 + 3.47203e35i −0.826230 + 0.0868871i
\(109\) −2.46758e36 −0.523111 −0.261555 0.965188i \(-0.584235\pi\)
−0.261555 + 0.965188i \(0.584235\pi\)
\(110\) 4.53070e35 5.03214e35i 0.0814887 0.0905075i
\(111\) 1.07614e36i 0.164459i
\(112\) −2.22540e36 1.04639e37i −0.289390 1.36072i
\(113\) −1.13641e35 −0.0125928 −0.00629639 0.999980i \(-0.502004\pi\)
−0.00629639 + 0.999980i \(0.502004\pi\)
\(114\) 5.66273e35 + 5.09846e35i 0.0535474 + 0.0482116i
\(115\) 2.25987e37i 1.82609i
\(116\) −1.18482e36 1.12668e37i −0.0819238 0.779033i
\(117\) −1.60432e36 −0.0950483
\(118\) −1.53537e37 + 1.70529e37i −0.780434 + 0.866808i
\(119\) 3.09880e37i 1.35316i
\(120\) 4.76898e37 + 3.46426e37i 1.79128 + 1.30121i
\(121\) 3.07948e37 0.996188
\(122\) −7.51494e36 6.76610e36i −0.209628 0.188739i
\(123\) 1.73238e37i 0.417208i
\(124\) 2.95552e37 3.10805e36i 0.615238 0.0646990i
\(125\) −2.07047e38 −3.72983
\(126\) 1.54962e37 1.72112e37i 0.241855 0.268622i
\(127\) 1.29608e38i 1.75455i 0.479992 + 0.877273i \(0.340639\pi\)
−0.479992 + 0.877273i \(0.659361\pi\)
\(128\) 3.45861e37 7.77226e37i 0.406558 0.913625i
\(129\) 1.48872e38 1.52124
\(130\) −6.03048e37 5.42956e37i −0.536255 0.482819i
\(131\) 9.30311e37i 0.720684i 0.932820 + 0.360342i \(0.117340\pi\)
−0.932820 + 0.360342i \(0.882660\pi\)
\(132\) −1.07282e36 1.02017e37i −0.00724764 0.0689196i
\(133\) 1.51427e37 0.0893047
\(134\) 1.38322e38 1.53631e38i 0.712861 0.791757i
\(135\) 3.63514e38i 1.63875i
\(136\) −1.44824e38 + 1.99369e38i −0.571664 + 0.786967i
\(137\) −2.21131e38 −0.765031 −0.382515 0.923949i \(-0.624942\pi\)
−0.382515 + 0.923949i \(0.624942\pi\)
\(138\) −2.54426e38 2.29073e38i −0.772214 0.695266i
\(139\) 5.94068e37i 0.158332i 0.996861 + 0.0791661i \(0.0252258\pi\)
−0.996861 + 0.0791661i \(0.974774\pi\)
\(140\) 1.16497e39 1.22510e38i 2.72905 0.286989i
\(141\) −3.47041e38 −0.715215
\(142\) −5.51885e38 + 6.12964e38i −1.00152 + 1.11236i
\(143\) 1.41217e37i 0.0225860i
\(144\) 1.80136e38 3.83102e37i 0.254141 0.0540492i
\(145\) 1.24049e39 1.54514
\(146\) −6.68287e38 6.01695e38i −0.735550 0.662254i
\(147\) 1.07851e39i 1.04981i
\(148\) −1.77860e37 1.69132e38i −0.0153239 0.145718i
\(149\) 8.40830e38 0.641734 0.320867 0.947124i \(-0.396026\pi\)
0.320867 + 0.947124i \(0.396026\pi\)
\(150\) −3.20868e39 + 3.56380e39i −2.17112 + 2.41141i
\(151\) 1.55416e38i 0.0933061i −0.998911 0.0466530i \(-0.985144\pi\)
0.998911 0.0466530i \(-0.0148555\pi\)
\(152\) 9.74244e37 + 7.07704e37i 0.0519377 + 0.0377283i
\(153\) −5.33457e38 −0.252728
\(154\) −1.51499e38 1.36402e38i −0.0638316 0.0574710i
\(155\) 3.25406e39i 1.22027i
\(156\) −1.22257e39 + 1.28566e38i −0.408348 + 0.0429422i
\(157\) 5.36842e39 1.59828 0.799140 0.601145i \(-0.205289\pi\)
0.799140 + 0.601145i \(0.205289\pi\)
\(158\) 1.70682e39 1.89573e39i 0.453274 0.503440i
\(159\) 6.97031e38i 0.165236i
\(160\) 8.06770e39 + 4.65638e39i 1.70840 + 0.986027i
\(161\) −6.80361e39 −1.28788
\(162\) −5.23294e39 4.71150e39i −0.886086 0.797790i
\(163\) 1.12696e40i 1.70817i −0.520134 0.854085i \(-0.674118\pi\)
0.520134 0.854085i \(-0.325882\pi\)
\(164\) 2.86320e38 + 2.72269e39i 0.0388743 + 0.369665i
\(165\) 1.12322e39 0.136696
\(166\) −5.36000e39 + 5.95322e39i −0.585085 + 0.649840i
\(167\) 4.42541e39i 0.433568i −0.976220 0.216784i \(-0.930443\pi\)
0.976220 0.216784i \(-0.0695567\pi\)
\(168\) 1.04296e40 1.43576e40i 0.917697 1.26332i
\(169\) −1.09539e40 −0.866178
\(170\) −2.00522e40 1.80541e40i −1.42587 1.28379i
\(171\) 2.60682e38i 0.0166794i
\(172\) 2.33974e40 2.46049e39i 1.34789 0.141746i
\(173\) 1.15750e40 0.600747 0.300373 0.953822i \(-0.402889\pi\)
0.300373 + 0.953822i \(0.402889\pi\)
\(174\) 1.25743e40 1.39659e40i 0.588297 0.653407i
\(175\) 9.52996e40i 4.02167i
\(176\) −3.37219e38 1.58562e39i −0.0128435 0.0603907i
\(177\) −3.80638e40 −1.30916
\(178\) 3.00580e40 + 2.70628e40i 0.934114 + 0.841032i
\(179\) 3.56882e40i 1.00270i −0.865245 0.501349i \(-0.832837\pi\)
0.865245 0.501349i \(-0.167163\pi\)
\(180\) 2.10900e39 + 2.00550e40i 0.0536008 + 0.509703i
\(181\) 2.34751e39 0.0539999 0.0269999 0.999635i \(-0.491405\pi\)
0.0269999 + 0.999635i \(0.491405\pi\)
\(182\) −1.63464e40 + 1.81555e40i −0.340515 + 0.378201i
\(183\) 1.67741e40i 0.316606i
\(184\) −4.37727e40 3.17971e40i −0.749001 0.544085i
\(185\) 1.86216e40 0.289019
\(186\) 3.66357e40 + 3.29850e40i 0.516025 + 0.464605i
\(187\) 4.69567e39i 0.0600549i
\(188\) −5.45424e40 + 5.73573e39i −0.633714 + 0.0666419i
\(189\) −1.09440e41 −1.15575
\(190\) −8.82237e39 + 9.79879e39i −0.0847267 + 0.0941039i
\(191\) 8.12961e40i 0.710344i −0.934801 0.355172i \(-0.884422\pi\)
0.934801 0.355172i \(-0.115578\pi\)
\(192\) 1.34202e41 4.36299e40i 1.06743 0.347026i
\(193\) 1.55906e41 1.12936 0.564680 0.825310i \(-0.309000\pi\)
0.564680 + 0.825310i \(0.309000\pi\)
\(194\) −4.33341e40 3.90160e40i −0.286021 0.257520i
\(195\) 1.34606e41i 0.809920i
\(196\) −1.78251e40 1.69503e41i −0.0978188 0.930183i
\(197\) 2.26219e41 1.13276 0.566379 0.824145i \(-0.308344\pi\)
0.566379 + 0.824145i \(0.308344\pi\)
\(198\) 2.34816e39 2.60804e39i 0.0107338 0.0119218i
\(199\) 1.03550e41i 0.432310i 0.976359 + 0.216155i \(0.0693517\pi\)
−0.976359 + 0.216155i \(0.930648\pi\)
\(200\) −4.45389e41 + 6.13133e41i −1.69902 + 2.33892i
\(201\) 3.42919e41 1.19581
\(202\) −1.60481e41 1.44489e41i −0.511798 0.460799i
\(203\) 3.73464e41i 1.08973i
\(204\) −4.06521e41 + 4.27501e40i −1.08577 + 0.114181i
\(205\) −2.99772e41 −0.733198
\(206\) 4.17485e41 4.63690e41i 0.935472 1.03901i
\(207\) 1.17124e41i 0.240536i
\(208\) −1.90019e41 + 4.04120e40i −0.357814 + 0.0760976i
\(209\) 2.29460e39 0.00396346
\(210\) 1.44406e42 + 1.30017e42i 2.28897 + 2.06088i
\(211\) 1.91579e40i 0.0278781i −0.999903 0.0139391i \(-0.995563\pi\)
0.999903 0.0139391i \(-0.00443708\pi\)
\(212\) −1.15202e40 1.09548e41i −0.0153962 0.146407i
\(213\) −1.36820e42 −1.68003
\(214\) −1.04601e40 + 1.16178e40i −0.0118056 + 0.0131122i
\(215\) 2.57608e42i 2.67342i
\(216\) −7.04111e41 5.11476e41i −0.672161 0.488268i
\(217\) 9.79675e41 0.860611
\(218\) −4.80723e41 4.32821e41i −0.388757 0.350018i
\(219\) 1.49168e42i 1.11092i
\(220\) 1.76531e41 1.85641e40i 0.121119 0.0127370i
\(221\) 5.62725e41 0.355824
\(222\) 1.88759e41 2.09650e41i 0.110041 0.122220i
\(223\) 4.31584e41i 0.232048i 0.993246 + 0.116024i \(0.0370149\pi\)
−0.993246 + 0.116024i \(0.962985\pi\)
\(224\) 1.40186e42 2.42888e42i 0.695409 1.20487i
\(225\) −1.64058e42 −0.751125
\(226\) −2.21390e40 1.99329e40i −0.00935850 0.00842595i
\(227\) 1.08048e42i 0.421842i 0.977503 + 0.210921i \(0.0676464\pi\)
−0.977503 + 0.210921i \(0.932354\pi\)
\(228\) 2.08904e40 + 1.98652e41i 0.00753564 + 0.0716582i
\(229\) −4.35291e41 −0.145124 −0.0725622 0.997364i \(-0.523118\pi\)
−0.0725622 + 0.997364i \(0.523118\pi\)
\(230\) 3.96388e42 4.40259e42i 1.22186 1.35708i
\(231\) 3.38160e41i 0.0964065i
\(232\) 1.74541e42 2.40277e42i 0.460376 0.633765i
\(233\) −6.81668e42 −1.66405 −0.832025 0.554738i \(-0.812819\pi\)
−0.832025 + 0.554738i \(0.812819\pi\)
\(234\) −3.12546e41 2.81402e41i −0.0706364 0.0635978i
\(235\) 6.00520e42i 1.25691i
\(236\) −5.98228e42 + 6.29102e41i −1.15998 + 0.121985i
\(237\) 4.23145e42 0.760359
\(238\) −5.43539e42 + 6.03695e42i −0.905410 + 1.00562i
\(239\) 7.79042e42i 1.20337i 0.798734 + 0.601684i \(0.205503\pi\)
−0.798734 + 0.601684i \(0.794497\pi\)
\(240\) 3.21432e42 + 1.51139e43i 0.460561 + 2.16558i
\(241\) 4.71741e42 0.627186 0.313593 0.949557i \(-0.398467\pi\)
0.313593 + 0.949557i \(0.398467\pi\)
\(242\) 5.99932e42 + 5.40151e42i 0.740331 + 0.666559i
\(243\) 4.42937e42i 0.507492i
\(244\) −2.77234e41 2.63629e42i −0.0295005 0.280528i
\(245\) 1.86625e43 1.84493
\(246\) −3.03866e42 + 3.37496e42i −0.279158 + 0.310053i
\(247\) 2.74984e41i 0.0234835i
\(248\) 6.30298e42 + 4.57857e42i 0.500513 + 0.363580i
\(249\) −1.32882e43 −0.981470
\(250\) −4.03361e43 3.63167e43i −2.77187 2.49567i
\(251\) 2.11996e43i 1.35581i 0.735148 + 0.677907i \(0.237113\pi\)
−0.735148 + 0.677907i \(0.762887\pi\)
\(252\) 6.03780e42 6.34940e41i 0.359475 0.0378027i
\(253\) −1.03096e42 −0.0571576
\(254\) −2.27336e43 + 2.52497e43i −1.17398 + 1.30391i
\(255\) 4.47585e43i 2.15353i
\(256\) 2.03707e43 9.07509e42i 0.913454 0.406941i
\(257\) 1.72260e43 0.720093 0.360046 0.932934i \(-0.382761\pi\)
0.360046 + 0.932934i \(0.382761\pi\)
\(258\) 2.90027e43 + 2.61126e43i 1.13053 + 1.01788i
\(259\) 5.60626e42i 0.203834i
\(260\) −2.22471e42 2.11553e43i −0.0754663 0.717627i
\(261\) 6.42917e42 0.203529
\(262\) −1.63179e43 + 1.81239e43i −0.482216 + 0.535586i
\(263\) 6.57982e43i 1.81556i −0.419447 0.907780i \(-0.637776\pi\)
0.419447 0.907780i \(-0.362224\pi\)
\(264\) 1.58041e42 2.17563e42i 0.0407286 0.0560680i
\(265\) 1.20614e43 0.290384
\(266\) 2.95004e42 + 2.65608e42i 0.0663680 + 0.0597547i
\(267\) 6.70924e43i 1.41082i
\(268\) 5.38947e43 5.66761e42i 1.05955 0.111423i
\(269\) −7.40548e43 −1.36148 −0.680742 0.732523i \(-0.738342\pi\)
−0.680742 + 0.732523i \(0.738342\pi\)
\(270\) 6.37615e43 7.08183e43i 1.09651 1.21786i
\(271\) 1.10364e44i 1.77574i 0.460093 + 0.887871i \(0.347816\pi\)
−0.460093 + 0.887871i \(0.652184\pi\)
\(272\) −6.31840e43 + 1.34376e43i −0.951408 + 0.202339i
\(273\) −4.05248e43 −0.571207
\(274\) −4.30798e43 3.87870e43i −0.568543 0.511889i
\(275\) 1.44409e43i 0.178487i
\(276\) −9.38605e42 8.92542e43i −0.108672 1.03339i
\(277\) −9.72478e43 −1.05498 −0.527490 0.849561i \(-0.676867\pi\)
−0.527490 + 0.849561i \(0.676867\pi\)
\(278\) −1.04201e43 + 1.15734e43i −0.105942 + 0.117667i
\(279\) 1.68651e43i 0.160736i
\(280\) 2.48444e44 + 1.80473e44i 2.22016 + 1.61275i
\(281\) 1.73479e44 1.45390 0.726948 0.686693i \(-0.240938\pi\)
0.726948 + 0.686693i \(0.240938\pi\)
\(282\) −6.76091e43 6.08721e43i −0.531522 0.478557i
\(283\) 7.44370e43i 0.549077i 0.961576 + 0.274538i \(0.0885250\pi\)
−0.961576 + 0.274538i \(0.911475\pi\)
\(284\) −2.15032e44 + 2.26129e43i −1.48858 + 0.156540i
\(285\) −2.18719e43 −0.142128
\(286\) −2.47699e42 + 2.75113e42i −0.0151125 + 0.0167851i
\(287\) 9.02499e43i 0.517098i
\(288\) 4.18131e43 + 2.41330e43i 0.225033 + 0.129881i
\(289\) −1.06563e43 −0.0538822
\(290\) 2.41667e44 + 2.17585e44i 1.14829 + 1.03387i
\(291\) 9.67260e43i 0.431986i
\(292\) −2.46539e43 2.34439e44i −0.103513 0.984327i
\(293\) −2.78417e44 −1.09921 −0.549603 0.835426i \(-0.685221\pi\)
−0.549603 + 0.835426i \(0.685221\pi\)
\(294\) 1.89174e44 2.10111e44i 0.702440 0.780182i
\(295\) 6.58657e44i 2.30072i
\(296\) 2.62012e43 3.60692e43i 0.0861133 0.118546i
\(297\) −1.65837e43 −0.0512938
\(298\) 1.63807e44 + 1.47484e44i 0.476913 + 0.429391i
\(299\) 1.23550e44i 0.338658i
\(300\) −1.25020e45 + 1.31472e44i −3.22699 + 0.339353i
\(301\) 7.75561e44 1.88547
\(302\) 2.72604e43 3.02775e43i 0.0624320 0.0693417i
\(303\) 3.58209e44i 0.772981i
\(304\) 6.56646e42 + 3.08757e43i 0.0133539 + 0.0627904i
\(305\) 2.90259e44 0.556401
\(306\) −1.03926e44 9.35701e43i −0.187819 0.169103i
\(307\) 2.16030e44i 0.368149i −0.982912 0.184074i \(-0.941071\pi\)
0.982912 0.184074i \(-0.0589287\pi\)
\(308\) −5.58895e42 5.31467e43i −0.00898291 0.0854207i
\(309\) 1.03500e45 1.56924
\(310\) −5.70773e44 + 6.33943e44i −0.816494 + 0.906860i
\(311\) 9.39975e44i 1.26891i 0.772962 + 0.634453i \(0.218774\pi\)
−0.772962 + 0.634453i \(0.781226\pi\)
\(312\) −2.60726e44 1.89395e44i −0.332202 0.241316i
\(313\) −1.04146e45 −1.25269 −0.626344 0.779547i \(-0.715449\pi\)
−0.626344 + 0.779547i \(0.715449\pi\)
\(314\) 1.04585e45 + 9.41638e44i 1.18778 + 1.06942i
\(315\) 6.64769e44i 0.712986i
\(316\) 6.65033e44 6.99354e43i 0.673714 0.0708483i
\(317\) −1.66259e45 −1.59118 −0.795589 0.605837i \(-0.792838\pi\)
−0.795589 + 0.605837i \(0.792838\pi\)
\(318\) 1.22261e44 1.35793e44i 0.110561 0.122797i
\(319\) 5.65917e43i 0.0483638i
\(320\) 7.54972e44 + 2.32224e45i 0.609861 + 1.87589i
\(321\) −2.59321e43 −0.0198038
\(322\) −1.32545e45 1.19338e45i −0.957102 0.861730i
\(323\) 9.14359e43i 0.0624412i
\(324\) −1.93049e44 1.83575e45i −0.124697 1.18578i
\(325\) 1.73059e45 1.05753
\(326\) 1.97672e45 2.19549e45i 1.14295 1.26945i
\(327\) 1.07302e45i 0.587150i
\(328\) −4.21788e44 + 5.80645e44i −0.218457 + 0.300733i
\(329\) −1.80794e45 −0.886456
\(330\) 2.18822e44 + 1.97017e44i 0.101587 + 0.0914645i
\(331\) 1.91416e45i 0.841540i −0.907167 0.420770i \(-0.861760\pi\)
0.907167 0.420770i \(-0.138240\pi\)
\(332\) −2.08843e45 + 2.19621e44i −0.869628 + 0.0914509i
\(333\) 9.65116e43 0.0380700
\(334\) 7.76231e44 8.62140e44i 0.290104 0.322212i
\(335\) 5.93387e45i 2.10151i
\(336\) 4.55021e45 9.67710e44i 1.52730 0.324817i
\(337\) −4.37726e45 −1.39272 −0.696361 0.717692i \(-0.745199\pi\)
−0.696361 + 0.717692i \(0.745199\pi\)
\(338\) −2.13399e45 1.92135e45i −0.643712 0.579568i
\(339\) 4.94164e43i 0.0141344i
\(340\) −7.39747e44 7.03443e45i −0.200661 1.90813i
\(341\) 1.48452e44 0.0381951
\(342\) −4.57244e43 + 5.07849e43i −0.0111603 + 0.0123955i
\(343\) 3.88592e44i 0.0899910i
\(344\) 4.98976e45 + 3.62463e45i 1.09655 + 0.796548i
\(345\) 9.82701e45 2.04964
\(346\) 2.25500e45 + 2.03029e45i 0.446453 + 0.401966i
\(347\) 8.28743e42i 0.00155772i 1.00000 0.000778859i \(0.000247919\pi\)
−1.00000 0.000778859i \(0.999752\pi\)
\(348\) 4.89934e45 5.15219e44i 0.874402 0.0919529i
\(349\) −7.11793e45 −1.20641 −0.603207 0.797585i \(-0.706111\pi\)
−0.603207 + 0.797585i \(0.706111\pi\)
\(350\) −1.67158e46 + 1.85659e46i −2.69094 + 2.98876i
\(351\) 1.98738e45i 0.303915i
\(352\) 2.12426e44 3.68052e44i 0.0308632 0.0534739i
\(353\) 4.99214e45 0.689195 0.344597 0.938751i \(-0.388015\pi\)
0.344597 + 0.938751i \(0.388015\pi\)
\(354\) −7.41544e45 6.67652e45i −0.972923 0.875974i
\(355\) 2.36753e46i 2.95247i
\(356\) 1.10887e45 + 1.05445e46i 0.131456 + 1.25005i
\(357\) −1.34751e46 −1.51881
\(358\) 6.25983e45 6.95263e45i 0.670915 0.745169i
\(359\) 8.91149e45i 0.908344i 0.890914 + 0.454172i \(0.150065\pi\)
−0.890914 + 0.454172i \(0.849935\pi\)
\(360\) −3.10684e45 + 4.27696e45i −0.301213 + 0.414658i
\(361\) 1.07978e46 0.995879
\(362\) 4.57332e44 + 4.11760e44i 0.0401308 + 0.0361319i
\(363\) 1.33911e46i 1.11814i
\(364\) −6.36906e45 + 6.69776e44i −0.506116 + 0.0532236i
\(365\) 2.58121e46 1.95232
\(366\) 2.94223e45 3.26786e45i 0.211844 0.235290i
\(367\) 1.18171e46i 0.810069i 0.914301 + 0.405034i \(0.132740\pi\)
−0.914301 + 0.405034i \(0.867260\pi\)
\(368\) −2.95030e45 1.38724e46i −0.192578 0.905508i
\(369\) −1.55365e45 −0.0965781
\(370\) 3.62779e45 + 3.26629e45i 0.214788 + 0.193385i
\(371\) 3.63124e45i 0.204797i
\(372\) 1.35153e45 + 1.28520e46i 0.0726194 + 0.690555i
\(373\) 8.97723e45 0.459604 0.229802 0.973237i \(-0.426192\pi\)
0.229802 + 0.973237i \(0.426192\pi\)
\(374\) −8.23635e44 + 9.14790e44i −0.0401833 + 0.0446306i
\(375\) 9.00341e46i 4.18643i
\(376\) −1.16318e46 8.44950e45i −0.515544 0.374498i
\(377\) −6.78190e45 −0.286555
\(378\) −2.13207e46 1.91962e46i −0.858913 0.773325i
\(379\) 3.46979e46i 1.33290i 0.745550 + 0.666450i \(0.232187\pi\)
−0.745550 + 0.666450i \(0.767813\pi\)
\(380\) −3.43748e45 + 3.61488e44i −0.125932 + 0.0132431i
\(381\) −5.63598e46 −1.96934
\(382\) 1.42596e46 1.58378e46i 0.475298 0.527902i
\(383\) 3.27569e46i 1.04166i 0.853661 + 0.520828i \(0.174377\pi\)
−0.853661 + 0.520828i \(0.825623\pi\)
\(384\) 3.37976e46 + 1.50397e46i 1.02547 + 0.456328i
\(385\) 5.85152e45 0.169424
\(386\) 3.03730e46 + 2.73465e46i 0.839299 + 0.755666i
\(387\) 1.33513e46i 0.352148i
\(388\) −1.59864e45 1.52019e46i −0.0402513 0.382759i
\(389\) −9.40263e45 −0.226025 −0.113013 0.993594i \(-0.536050\pi\)
−0.113013 + 0.993594i \(0.536050\pi\)
\(390\) 2.36104e46 2.62234e46i 0.541926 0.601903i
\(391\) 4.10821e46i 0.900474i
\(392\) 2.62588e46 3.61485e46i 0.549699 0.756729i
\(393\) −4.04544e46 −0.808909
\(394\) 4.40710e46 + 3.96795e46i 0.841824 + 0.757939i
\(395\) 7.32210e46i 1.33625i
\(396\) 9.14918e44 9.62136e43i 0.0159540 0.00167773i
\(397\) 6.27686e46 1.04596 0.522978 0.852346i \(-0.324821\pi\)
0.522978 + 0.852346i \(0.324821\pi\)
\(398\) −1.81630e46 + 2.01732e46i −0.289263 + 0.321277i
\(399\) 6.58479e45i 0.100237i
\(400\) −1.94314e47 + 4.13255e46i −2.82764 + 0.601365i
\(401\) −1.33162e47 −1.85260 −0.926298 0.376792i \(-0.877027\pi\)
−0.926298 + 0.376792i \(0.877027\pi\)
\(402\) 6.68061e46 + 6.01491e46i 0.888684 + 0.800129i
\(403\) 1.77904e46i 0.226305i
\(404\) −5.92031e45 5.62976e46i −0.0720244 0.684898i
\(405\) 2.02118e47 2.35188
\(406\) 6.55067e46 7.27567e46i 0.729151 0.809849i
\(407\) 8.49527e44i 0.00904644i
\(408\) −8.66952e46 6.29766e46i −0.883308 0.641647i
\(409\) 4.14628e46 0.404240 0.202120 0.979361i \(-0.435217\pi\)
0.202120 + 0.979361i \(0.435217\pi\)
\(410\) −5.84003e46 5.25809e46i −0.544886 0.490590i
\(411\) 9.61583e46i 0.858685i
\(412\) 1.62665e47 1.71060e46i 1.39042 0.146217i
\(413\) −1.98297e47 −1.62261
\(414\) 2.05439e46 2.28176e46i 0.160945 0.178757i
\(415\) 2.29939e47i 1.72483i
\(416\) −4.41071e46 2.54570e46i −0.316832 0.182864i
\(417\) −2.58329e46 −0.177715
\(418\) 4.47025e44 + 4.02481e44i 0.00294550 + 0.00265199i
\(419\) 1.13757e46i 0.0718000i 0.999355 + 0.0359000i \(0.0114298\pi\)
−0.999355 + 0.0359000i \(0.988570\pi\)
\(420\) 5.32731e46 + 5.06587e47i 0.322122 + 3.06314i
\(421\) 3.96082e45 0.0229460 0.0114730 0.999934i \(-0.496348\pi\)
0.0114730 + 0.999934i \(0.496348\pi\)
\(422\) 3.36035e45 3.73226e45i 0.0186535 0.0207180i
\(423\) 3.11236e46i 0.165563i
\(424\) 1.69708e46 2.33625e46i 0.0865202 0.119106i
\(425\) 5.75445e47 2.81192
\(426\) −2.66547e47 2.39986e47i −1.24853 1.12412i
\(427\) 8.73859e46i 0.392410i
\(428\) −4.07560e45 + 4.28594e44i −0.0175471 + 0.00184526i
\(429\) −6.14080e45 −0.0253509
\(430\) −4.51853e47 + 5.01862e47i −1.78881 + 1.98679i
\(431\) 1.09299e47i 0.414977i −0.978237 0.207488i \(-0.933471\pi\)
0.978237 0.207488i \(-0.0665289\pi\)
\(432\) −4.74575e46 2.23147e47i −0.172821 0.812612i
\(433\) −1.57783e47 −0.551161 −0.275580 0.961278i \(-0.588870\pi\)
−0.275580 + 0.961278i \(0.588870\pi\)
\(434\) 1.90856e47 + 1.71838e47i 0.639575 + 0.575843i
\(435\) 5.39424e47i 1.73430i
\(436\) −1.77344e46 1.68641e47i −0.0547091 0.520242i
\(437\) 2.00754e46 0.0594288
\(438\) 2.61646e47 2.90604e47i 0.743327 0.825595i
\(439\) 5.16564e47i 1.40852i 0.709942 + 0.704260i \(0.248721\pi\)
−0.709942 + 0.704260i \(0.751279\pi\)
\(440\) 3.76472e46 + 2.73474e46i 0.0985335 + 0.0715762i
\(441\) 9.67236e46 0.243018
\(442\) 1.09628e47 + 9.87038e46i 0.264436 + 0.238086i
\(443\) 6.09572e47i 1.41175i −0.708336 0.705875i \(-0.750554\pi\)
0.708336 0.705875i \(-0.249446\pi\)
\(444\) 7.35466e46 7.73422e45i 0.163557 0.0171998i
\(445\) −1.16097e48 −2.47936
\(446\) −7.57011e46 + 8.40794e46i −0.155265 + 0.172450i
\(447\) 3.65633e47i 0.720295i
\(448\) 6.99137e47 2.27293e47i 1.32299 0.430113i
\(449\) 3.24553e47 0.590000 0.295000 0.955497i \(-0.404680\pi\)
0.295000 + 0.955497i \(0.404680\pi\)
\(450\) −3.19611e47 2.87763e47i −0.558209 0.502585i
\(451\) 1.36757e46i 0.0229495i
\(452\) −8.16732e44 7.76650e45i −0.00131701 0.0125237i
\(453\) 6.75823e46 0.104729
\(454\) −1.89519e47 + 2.10494e47i −0.282259 + 0.313498i
\(455\) 7.01242e47i 1.00384i
\(456\) −3.07744e46 + 4.23648e46i −0.0423470 + 0.0582959i
\(457\) 4.95004e47 0.654813 0.327406 0.944884i \(-0.393825\pi\)
0.327406 + 0.944884i \(0.393825\pi\)
\(458\) −8.48015e46 7.63513e46i −0.107851 0.0971042i
\(459\) 6.60831e47i 0.808094i
\(460\) 1.54446e48 1.62416e47i 1.81608 0.190980i
\(461\) −9.17912e47 −1.03797 −0.518984 0.854784i \(-0.673690\pi\)
−0.518984 + 0.854784i \(0.673690\pi\)
\(462\) 5.93143e46 6.58789e46i 0.0645065 0.0716458i
\(463\) 2.97206e47i 0.310885i −0.987845 0.155442i \(-0.950320\pi\)
0.987845 0.155442i \(-0.0496803\pi\)
\(464\) 7.61486e47 1.61948e47i 0.766193 0.162949i
\(465\) −1.41502e48 −1.36965
\(466\) −1.32800e48 1.19567e48i −1.23666 1.11343i
\(467\) 8.45631e47i 0.757665i −0.925465 0.378832i \(-0.876326\pi\)
0.925465 0.378832i \(-0.123674\pi\)
\(468\) −1.15302e46 1.09643e47i −0.00994055 0.0945271i
\(469\) 1.78646e48 1.48212
\(470\) 1.05333e48 1.16991e48i 0.841014 0.934093i
\(471\) 2.33445e48i 1.79394i
\(472\) −1.27579e48 9.26751e47i −0.943676 0.685500i
\(473\) 1.17522e47 0.0836796
\(474\) 8.24353e47 + 7.42209e47i 0.565071 + 0.508764i
\(475\) 2.81200e47i 0.185579i
\(476\) −2.11780e48 + 2.22710e47i −1.34574 + 0.141519i
\(477\) 6.25117e46 0.0382499
\(478\) −1.36646e48 + 1.51770e48i −0.805186 + 0.894300i
\(479\) 9.59845e47i 0.544706i 0.962197 + 0.272353i \(0.0878018\pi\)
−0.962197 + 0.272353i \(0.912198\pi\)
\(480\) −2.02482e48 + 3.50822e48i −1.10674 + 1.91754i
\(481\) −1.01807e47 −0.0536000
\(482\) 9.19025e47 + 8.27448e47i 0.466102 + 0.419656i
\(483\) 2.95854e48i 1.44554i
\(484\) 2.21322e47 + 2.10460e48i 0.104185 + 0.990725i
\(485\) 1.67375e48 0.759169
\(486\) 7.76926e47 8.62912e47i 0.339568 0.377150i
\(487\) 4.05452e47i 0.170772i 0.996348 + 0.0853862i \(0.0272124\pi\)
−0.996348 + 0.0853862i \(0.972788\pi\)
\(488\) 4.08403e47 5.62218e47i 0.165780 0.228217i
\(489\) 4.90056e48 1.91728
\(490\) 3.63575e48 + 3.27346e48i 1.37109 + 1.23446i
\(491\) 3.18556e48i 1.15803i −0.815317 0.579014i \(-0.803438\pi\)
0.815317 0.579014i \(-0.196562\pi\)
\(492\) −1.18396e48 + 1.24506e47i −0.414920 + 0.0436333i
\(493\) −2.25508e48 −0.761933
\(494\) 4.82330e46 5.35712e46i 0.0157130 0.0174520i
\(495\) 1.00734e47i 0.0316433i
\(496\) 4.24824e47 + 1.99754e48i 0.128688 + 0.605098i
\(497\) −7.12773e48 −2.08227
\(498\) −2.58875e48 2.33079e48i −0.729393 0.656711i
\(499\) 4.13407e48i 1.12349i 0.827312 + 0.561743i \(0.189869\pi\)
−0.827312 + 0.561743i \(0.810131\pi\)
\(500\) −1.48804e48 1.41501e49i −0.390081 3.70938i
\(501\) 1.92438e48 0.486645
\(502\) −3.71847e48 + 4.13001e48i −0.907188 + 1.00759i
\(503\) 3.40859e48i 0.802325i −0.916007 0.401163i \(-0.868606\pi\)
0.916007 0.401163i \(-0.131394\pi\)
\(504\) 1.28763e48 + 9.35352e47i 0.292443 + 0.212435i
\(505\) 6.19845e48 1.35843
\(506\) −2.00848e47 1.80834e47i −0.0424775 0.0382447i
\(507\) 4.76328e48i 0.972216i
\(508\) −8.85775e48 + 9.31488e47i −1.74492 + 0.183498i
\(509\) −1.48385e48 −0.282143 −0.141071 0.989999i \(-0.545055\pi\)
−0.141071 + 0.989999i \(0.545055\pi\)
\(510\) 7.85077e48 8.71966e48i 1.44095 1.60043i
\(511\) 7.77104e48i 1.37690i
\(512\) 5.56034e48 + 1.80511e48i 0.951134 + 0.308777i
\(513\) 3.22924e47 0.0533321
\(514\) 3.35590e48 + 3.02150e48i 0.535147 + 0.481821i
\(515\) 1.79097e49i 2.75777i
\(516\) 1.06994e48 + 1.01743e49i 0.159098 + 1.51290i
\(517\) −2.73960e47 −0.0393421
\(518\) 9.83356e47 1.09219e48i 0.136388 0.151482i
\(519\) 5.03337e48i 0.674290i
\(520\) 3.27730e48 4.51161e48i 0.424088 0.583810i
\(521\) 9.01266e48 1.12661 0.563305 0.826249i \(-0.309529\pi\)
0.563305 + 0.826249i \(0.309529\pi\)
\(522\) 1.25250e48 + 1.12770e48i 0.151255 + 0.136183i
\(523\) 1.22155e49i 1.42522i 0.701560 + 0.712611i \(0.252487\pi\)
−0.701560 + 0.712611i \(0.747513\pi\)
\(524\) −6.35799e48 + 6.68611e47i −0.716731 + 0.0753721i
\(525\) −4.14409e49 −4.51400
\(526\) 1.15412e49 1.28185e49i 1.21481 1.34926i
\(527\) 5.91555e48i 0.601733i
\(528\) 6.89502e47 1.46639e47i 0.0677837 0.0144158i
\(529\) 1.50468e48 0.142969
\(530\) 2.34976e48 + 2.11561e48i 0.215803 + 0.194299i
\(531\) 3.41367e48i 0.303054i
\(532\) 1.08830e47 + 1.03489e48i 0.00933986 + 0.0888150i
\(533\) 1.63889e48 0.135975
\(534\) −1.17682e49 + 1.30707e49i −0.943991 + 1.04847i
\(535\) 4.48729e47i 0.0348030i
\(536\) 1.14937e49 + 8.34915e48i 0.861969 + 0.626147i
\(537\) 1.55190e49 1.12545
\(538\) −1.44271e49 1.29895e49i −1.01181 0.910982i
\(539\) 8.51393e47i 0.0577474i
\(540\) 2.48435e49 2.61257e48i 1.62977 0.171388i
\(541\) 7.20733e48 0.457324 0.228662 0.973506i \(-0.426565\pi\)
0.228662 + 0.973506i \(0.426565\pi\)
\(542\) −1.93582e49 + 2.15006e49i −1.18817 + 1.31967i
\(543\) 1.02081e48i 0.0606105i
\(544\) −1.46662e49 8.46481e48i −0.842439 0.486225i
\(545\) 1.85676e49 1.03185
\(546\) −7.89488e48 7.10818e48i −0.424500 0.382200i
\(547\) 2.03419e49i 1.05833i −0.848520 0.529164i \(-0.822506\pi\)
0.848520 0.529164i \(-0.177494\pi\)
\(548\) −1.58926e48 1.51127e49i −0.0800101 0.760835i
\(549\) 1.50435e48 0.0732901
\(550\) −2.53298e48 + 2.81332e48i −0.119427 + 0.132645i
\(551\) 1.10198e48i 0.0502856i
\(552\) 1.38269e49 1.90345e49i 0.610692 0.840693i
\(553\) 2.20441e49 0.942408
\(554\) −1.89454e49 1.70576e49i −0.784022 0.705897i
\(555\) 8.09758e48i 0.324400i
\(556\) −4.06001e48 + 4.26955e47i −0.157464 + 0.0165590i
\(557\) −3.28864e49 −1.23487 −0.617437 0.786620i \(-0.711829\pi\)
−0.617437 + 0.786620i \(0.711829\pi\)
\(558\) −2.95819e48 + 3.28559e48i −0.107550 + 0.119453i
\(559\) 1.40838e49i 0.495800i
\(560\) 1.67453e49 + 7.87369e49i 0.570831 + 2.68407i
\(561\) −2.04190e48 −0.0674068
\(562\) 3.37965e49 + 3.04288e49i 1.08048 + 0.972816i
\(563\) 1.93623e49i 0.599524i −0.954014 0.299762i \(-0.903093\pi\)
0.954014 0.299762i \(-0.0969072\pi\)
\(564\) −2.49417e48 2.37177e49i −0.0748002 0.711293i
\(565\) 8.55102e47 0.0248397
\(566\) −1.30565e49 + 1.45015e49i −0.367393 + 0.408054i
\(567\) 6.08502e49i 1.65870i
\(568\) −4.58580e49 3.33119e49i −1.21100 0.879689i
\(569\) 3.77299e49 0.965307 0.482653 0.875811i \(-0.339673\pi\)
0.482653 + 0.875811i \(0.339673\pi\)
\(570\) −4.26099e48 3.83639e48i −0.105624 0.0950989i
\(571\) 4.20874e49i 1.01089i −0.862860 0.505443i \(-0.831329\pi\)
0.862860 0.505443i \(-0.168671\pi\)
\(572\) −9.65115e47 + 1.01492e47i −0.0224621 + 0.00236214i
\(573\) 3.53515e49 0.797304
\(574\) −1.58301e49 + 1.75821e49i −0.345995 + 0.384288i
\(575\) 1.26343e50i 2.67626i
\(576\) 3.91285e48 + 1.20356e49i 0.0803320 + 0.247095i
\(577\) −4.53491e49 −0.902410 −0.451205 0.892420i \(-0.649006\pi\)
−0.451205 + 0.892420i \(0.649006\pi\)
\(578\) −2.07601e48 1.86915e48i −0.0400433 0.0360531i
\(579\) 6.77956e49i 1.26762i
\(580\) 8.91535e48 + 8.47782e49i 0.161597 + 1.53667i
\(581\) −6.92258e49 −1.21646
\(582\) 1.69660e49 1.88438e49i 0.289046 0.321036i
\(583\) 5.50248e47i 0.00908918i
\(584\) 3.63184e49 4.99969e49i 0.581696 0.800777i
\(585\) 1.20719e49 0.187486
\(586\) −5.42401e49 4.88352e49i −0.816890 0.735489i
\(587\) 8.51700e49i 1.24394i 0.783039 + 0.621972i \(0.213668\pi\)
−0.783039 + 0.621972i \(0.786332\pi\)
\(588\) 7.37081e49 7.75121e48i 1.04406 0.109794i
\(589\) −2.89072e48 −0.0397128
\(590\) 1.15530e50 1.28317e50i 1.53943 1.70981i
\(591\) 9.83709e49i 1.27143i
\(592\) 1.14311e49 2.43109e48i 0.143316 0.0304796i
\(593\) −1.87931e49 −0.228567 −0.114284 0.993448i \(-0.536457\pi\)
−0.114284 + 0.993448i \(0.536457\pi\)
\(594\) −3.23077e48 2.90883e48i −0.0381197 0.0343212i
\(595\) 2.33173e50i 2.66915i
\(596\) 6.04302e48 + 5.74645e49i 0.0671152 + 0.638215i
\(597\) −4.50286e49 −0.485233
\(598\) −2.16711e49 + 2.40695e49i −0.226599 + 0.251678i
\(599\) 8.39840e48i 0.0852145i −0.999092 0.0426073i \(-0.986434\pi\)
0.999092 0.0426073i \(-0.0135664\pi\)
\(600\) −2.66620e50 1.93676e50i −2.62525 1.90702i
\(601\) 1.20630e50 1.15269 0.576346 0.817205i \(-0.304478\pi\)
0.576346 + 0.817205i \(0.304478\pi\)
\(602\) 1.51092e50 + 1.36036e50i 1.40121 + 1.26158i
\(603\) 3.07539e49i 0.276815i
\(604\) 1.06215e49 1.11697e48i 0.0927944 0.00975834i
\(605\) −2.31719e50 −1.96501
\(606\) 6.28309e49 6.97848e49i 0.517209 0.574452i
\(607\) 1.57546e50i 1.25896i −0.777018 0.629478i \(-0.783269\pi\)
0.777018 0.629478i \(-0.216731\pi\)
\(608\) −4.13645e48 + 7.16686e48i −0.0320895 + 0.0555987i
\(609\) 1.62400e50 1.22314
\(610\) 5.65470e49 + 5.09123e49i 0.413497 + 0.372294i
\(611\) 3.28312e49i 0.233101i
\(612\) −3.83394e48 3.64579e49i −0.0264314 0.251342i
\(613\) −1.31538e50 −0.880566 −0.440283 0.897859i \(-0.645122\pi\)
−0.440283 + 0.897859i \(0.645122\pi\)
\(614\) 3.78923e49 4.20861e49i 0.246332 0.273595i
\(615\) 1.30355e50i 0.822955i
\(616\) 8.23327e48 1.13341e49i 0.0504800 0.0694921i
\(617\) −9.52767e49 −0.567354 −0.283677 0.958920i \(-0.591554\pi\)
−0.283677 + 0.958920i \(0.591554\pi\)
\(618\) 2.01635e50 + 1.81543e50i 1.16620 + 1.04999i
\(619\) 2.21171e50i 1.24250i 0.783612 + 0.621250i \(0.213375\pi\)
−0.783612 + 0.621250i \(0.786625\pi\)
\(620\) −2.22391e50 + 2.33869e49i −1.21358 + 0.127621i
\(621\) −1.45090e50 −0.769109
\(622\) −1.64875e50 + 1.83122e50i −0.849037 + 0.943004i
\(623\) 3.49523e50i 1.74860i
\(624\) −1.75731e49 8.26294e49i −0.0854134 0.401617i
\(625\) 9.45782e50 4.46633
\(626\) −2.02892e50 1.82675e50i −0.930952 0.838185i
\(627\) 9.97805e47i 0.00444867i
\(628\) 3.85827e49 + 3.66892e50i 0.167155 + 1.58952i
\(629\) −3.38521e49 −0.142520
\(630\) −1.16603e50 + 1.29508e50i −0.477066 + 0.529865i
\(631\) 1.60389e50i 0.637745i 0.947798 + 0.318873i \(0.103304\pi\)
−0.947798 + 0.318873i \(0.896696\pi\)
\(632\) 1.41826e50 + 1.03024e50i 0.548085 + 0.398137i
\(633\) 8.33077e48 0.0312909
\(634\) −3.23899e50 2.91624e50i −1.18250 1.06467i
\(635\) 9.75250e50i 3.46090i
\(636\) 4.76369e49 5.00954e48i 0.164330 0.0172810i
\(637\) −1.02030e50 −0.342152
\(638\) 9.92635e48 1.10250e49i 0.0323607 0.0359422i
\(639\) 1.22704e50i 0.388904i
\(640\) −2.60247e50 + 5.84833e50i −0.801948 + 1.80216i
\(641\) 2.25422e50 0.675384 0.337692 0.941257i \(-0.390354\pi\)
0.337692 + 0.941257i \(0.390354\pi\)
\(642\) −5.05199e48 4.54858e48i −0.0147174 0.0132509i
\(643\) 2.07340e50i 0.587336i 0.955907 + 0.293668i \(0.0948760\pi\)
−0.955907 + 0.293668i \(0.905124\pi\)
\(644\) −4.88974e49 4.64977e50i −0.134691 1.28081i
\(645\) −1.12021e51 −3.00070
\(646\) 1.60381e49 1.78132e49i 0.0417800 0.0464041i
\(647\) 1.51911e50i 0.384869i −0.981310 0.192435i \(-0.938362\pi\)
0.981310 0.192435i \(-0.0616383\pi\)
\(648\) 2.84387e50 3.91495e50i 0.700745 0.964663i
\(649\) −3.00482e49 −0.0720136
\(650\) 3.37146e50 + 3.03551e50i 0.785920 + 0.707605i
\(651\) 4.26010e50i 0.965967i
\(652\) 7.70193e50 8.09942e49i 1.69880 0.178648i
\(653\) 7.75913e50 1.66485 0.832427 0.554135i \(-0.186951\pi\)
0.832427 + 0.554135i \(0.186951\pi\)
\(654\) 1.88211e50 2.09042e50i 0.392868 0.436348i
\(655\) 7.00023e50i 1.42157i
\(656\) −1.84018e50 + 3.91358e49i −0.363573 + 0.0773223i
\(657\) 1.33778e50 0.257163
\(658\) −3.52215e50 3.17118e50i −0.658781 0.593136i
\(659\) 8.46566e50i 1.54072i 0.637610 + 0.770359i \(0.279923\pi\)
−0.637610 + 0.770359i \(0.720077\pi\)
\(660\) 8.07257e48 + 7.67640e49i 0.0142962 + 0.135946i
\(661\) −2.43111e50 −0.418965 −0.209483 0.977812i \(-0.567178\pi\)
−0.209483 + 0.977812i \(0.567178\pi\)
\(662\) 3.35750e50 3.72909e50i 0.563082 0.625402i
\(663\) 2.44700e50i 0.399384i
\(664\) −4.45381e50 3.23531e50i −0.707467 0.513914i
\(665\) −1.13943e50 −0.176156
\(666\) 1.88020e49 + 1.69284e49i 0.0282923 + 0.0254730i
\(667\) 4.95117e50i 0.725175i
\(668\) 3.02444e50 3.18053e49i 0.431190 0.0453443i
\(669\) −1.87673e50 −0.260455
\(670\) −1.04082e51 + 1.15601e51i −1.40614 + 1.56177i
\(671\) 1.32417e49i 0.0174157i
\(672\) 1.05619e51 + 6.09596e50i 1.35237 + 0.780540i
\(673\) −9.90164e49 −0.123434 −0.0617172 0.998094i \(-0.519658\pi\)
−0.0617172 + 0.998094i \(0.519658\pi\)
\(674\) −8.52760e50 7.67785e50i −1.03502 0.931883i
\(675\) 2.03230e51i 2.40171i
\(676\) −7.87252e49 7.48617e50i −0.0905886 0.861428i
\(677\) −1.49122e51 −1.67088 −0.835439 0.549584i \(-0.814786\pi\)
−0.835439 + 0.549584i \(0.814786\pi\)
\(678\) 8.66780e48 9.62711e48i 0.00945745 0.0105042i
\(679\) 5.03901e50i 0.535414i
\(680\) 1.08975e51 1.50017e51i 1.12763 1.55232i
\(681\) −4.69844e50 −0.473484
\(682\) 2.89208e49 + 2.60389e49i 0.0283852 + 0.0255567i
\(683\) 1.19203e51i 1.13950i 0.821819 + 0.569749i \(0.192960\pi\)
−0.821819 + 0.569749i \(0.807040\pi\)
\(684\) −1.78157e49 + 1.87351e48i −0.0165879 + 0.00174440i
\(685\) 1.66392e51 1.50905
\(686\) −6.81602e49 + 7.57038e49i −0.0602139 + 0.0668781i
\(687\) 1.89285e50i 0.162891i
\(688\) 3.36313e50 + 1.58136e51i 0.281937 + 1.32568i
\(689\) −6.59414e49 −0.0538532
\(690\) 1.91446e51 + 1.72369e51i 1.52322 + 1.37143i
\(691\) 1.05725e51i 0.819548i −0.912187 0.409774i \(-0.865608\pi\)
0.912187 0.409774i \(-0.134392\pi\)
\(692\) 8.31892e49 + 7.91066e50i 0.0628286 + 0.597452i
\(693\) 3.03271e49 0.0223168
\(694\) −1.45364e48 + 1.61452e48i −0.00104228 + 0.00115764i
\(695\) 4.47013e50i 0.312316i
\(696\) 1.04484e51 + 7.58987e50i 0.711351 + 0.516735i
\(697\) 5.44954e50 0.361551
\(698\) −1.38669e51 1.24851e51i −0.896562 0.807223i
\(699\) 2.96422e51i 1.86776i
\(700\) −6.51302e51 + 6.84915e50i −3.99961 + 0.420603i
\(701\) −1.10197e51 −0.659548 −0.329774 0.944060i \(-0.606973\pi\)
−0.329774 + 0.944060i \(0.606973\pi\)
\(702\) −3.48592e50 + 3.87173e50i −0.203353 + 0.225859i
\(703\) 1.65423e49i 0.00940591i
\(704\) 1.05942e50 3.44422e49i 0.0587163 0.0190890i
\(705\) 2.61135e51 1.41078
\(706\) 9.72548e50 + 8.75637e50i 0.512184 + 0.461147i
\(707\) 1.86612e51i 0.958053i
\(708\) −2.73564e50 2.60138e51i −0.136918 1.30198i
\(709\) 1.97821e51 0.965251 0.482625 0.875827i \(-0.339683\pi\)
0.482625 + 0.875827i \(0.339683\pi\)
\(710\) 4.15272e51 4.61232e51i 1.97552 2.19416i
\(711\) 3.79488e50i 0.176013i
\(712\) −1.63352e51 + 2.24874e51i −0.738727 + 1.01695i
\(713\) 1.29880e51 0.572703
\(714\) −2.62516e51 2.36357e51i −1.12872 1.01625i
\(715\) 1.06260e50i 0.0445516i
\(716\) 2.43903e51 2.56490e50i 0.997200 0.104866i
\(717\) −3.38765e51 −1.35068
\(718\) −1.56310e51 + 1.73610e51i −0.607782 + 0.675048i
\(719\) 3.36013e51i 1.27419i 0.770784 + 0.637097i \(0.219865\pi\)
−0.770784 + 0.637097i \(0.780135\pi\)
\(720\) −1.35545e51 + 2.88269e50i −0.501302 + 0.106614i
\(721\) 5.39192e51 1.94495
\(722\) 2.10359e51 + 1.89397e51i 0.740101 + 0.666352i
\(723\) 2.05136e51i 0.703966i
\(724\) 1.68715e49 + 1.60435e50i 0.00564753 + 0.0537038i
\(725\) −6.93520e51 −2.26451
\(726\) −2.34884e51 + 2.60880e51i −0.748159 + 0.830961i
\(727\) 4.47646e51i 1.39096i −0.718545 0.695480i \(-0.755192\pi\)
0.718545 0.695480i \(-0.244808\pi\)
\(728\) −1.35827e51 9.86670e50i −0.411740 0.299093i
\(729\) −2.10558e51 −0.622697
\(730\) 5.02861e51 + 4.52752e51i 1.45090 + 1.30632i
\(731\) 4.68305e51i 1.31831i
\(732\) 1.14638e51 1.20555e50i 0.314870 0.0331120i
\(733\) 3.81951e51 1.02361 0.511807 0.859100i \(-0.328976\pi\)
0.511807 + 0.859100i \(0.328976\pi\)
\(734\) −2.07276e51 + 2.30216e51i −0.542025 + 0.602013i
\(735\) 8.11536e51i 2.07079i
\(736\) 1.85850e51 3.22007e51i 0.462768 0.801796i
\(737\) 2.70706e50 0.0657784
\(738\) −3.02676e50 2.72515e50i −0.0717733 0.0646213i
\(739\) 3.07723e51i 0.712132i 0.934461 + 0.356066i \(0.115882\pi\)
−0.934461 + 0.356066i \(0.884118\pi\)
\(740\) 1.33833e50 + 1.27265e51i 0.0302268 + 0.287434i
\(741\) 1.19576e50 0.0263583
\(742\) 6.36931e50 7.07423e50i 0.137032 0.152198i
\(743\) 5.84492e51i 1.22738i 0.789546 + 0.613691i \(0.210316\pi\)
−0.789546 + 0.613691i \(0.789684\pi\)
\(744\) −1.99098e51 + 2.74084e51i −0.408089 + 0.561786i
\(745\) −6.32692e51 −1.26584
\(746\) 1.74891e51 + 1.57463e51i 0.341561 + 0.307525i
\(747\) 1.19172e51i 0.227197i
\(748\) −3.20914e50 + 3.37476e49i −0.0597256 + 0.00628079i
\(749\) −1.35095e50 −0.0245453
\(750\) 1.57923e52 1.75401e52i 2.80118 3.11121i
\(751\) 4.22629e51i 0.731881i −0.930638 0.365941i \(-0.880747\pi\)
0.930638 0.365941i \(-0.119253\pi\)
\(752\) −7.83990e50 3.68635e51i −0.132553 0.623269i