Properties

Label 12.16.b.a.11.7
Level 12
Weight 16
Character 12.11
Analytic conductor 17.123
Analytic rank 0
Dimension 28
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 16 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(17.123220612\)
Analytic rank: \(0\)
Dimension: \(28\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-127.986 - 128.014i) q^{2} +(-692.213 + 3724.21i) q^{3} +(-7.18349 + 32768.0i) q^{4} +230590. i q^{5} +(565345. - 388034. i) q^{6} +3.60781e6i q^{7} +(4.19568e6 - 4.19292e6i) q^{8} +(-1.33906e7 - 5.15589e6i) q^{9} +O(q^{10})\) \(q+(-127.986 - 128.014i) q^{2} +(-692.213 + 3724.21i) q^{3} +(-7.18349 + 32768.0i) q^{4} +230590. i q^{5} +(565345. - 388034. i) q^{6} +3.60781e6i q^{7} +(4.19568e6 - 4.19292e6i) q^{8} +(-1.33906e7 - 5.15589e6i) q^{9} +(2.95188e7 - 2.95123e7i) q^{10} +5.00101e7 q^{11} +(-1.22030e8 - 2.27092e7i) q^{12} +3.24482e7 q^{13} +(4.61850e8 - 4.61749e8i) q^{14} +(-8.58766e8 - 1.59617e8i) q^{15} +(-1.07374e9 - 470777. i) q^{16} +2.12956e9i q^{17} +(1.05378e9 + 2.37407e9i) q^{18} +2.21302e9i q^{19} +(-7.55598e9 - 1.65644e6i) q^{20} +(-1.34362e10 - 2.49737e9i) q^{21} +(-6.40059e9 - 6.40199e9i) q^{22} -1.70156e9 q^{23} +(1.27110e10 + 1.85280e10i) q^{24} -2.26542e10 q^{25} +(-4.15291e9 - 4.15382e9i) q^{26} +(2.84708e10 - 4.63004e10i) q^{27} +(-1.18221e11 - 2.59167e7i) q^{28} -1.34796e11i q^{29} +(8.94768e10 + 1.30363e11i) q^{30} +1.31549e11i q^{31} +(1.37364e11 + 1.37514e11i) q^{32} +(-3.46176e10 + 1.86248e11i) q^{33} +(2.72614e11 - 2.72554e11i) q^{34} -8.31925e11 q^{35} +(1.69044e11 - 4.38746e11i) q^{36} +6.49189e11 q^{37} +(2.83298e11 - 2.83236e11i) q^{38} +(-2.24610e10 + 1.20844e11i) q^{39} +(9.66847e11 + 9.67483e11i) q^{40} -2.08594e12i q^{41} +(1.39995e12 + 2.03965e12i) q^{42} +9.33060e9i q^{43} +(-3.59247e8 + 1.63873e12i) q^{44} +(1.18890e12 - 3.08774e12i) q^{45} +(2.17776e11 + 2.17824e11i) q^{46} -1.60059e12 q^{47} +(7.45011e11 - 3.99852e12i) q^{48} -8.26871e12 q^{49} +(2.89942e12 + 2.90006e12i) q^{50} +(-7.93093e12 - 1.47411e12i) q^{51} +(-2.33091e8 + 1.06326e12i) q^{52} -1.07105e12i q^{53} +(-9.57096e12 + 2.28115e12i) q^{54} +1.15318e13i q^{55} +(1.51273e13 + 1.51372e13i) q^{56} +(-8.24177e12 - 1.53188e12i) q^{57} +(-1.72558e13 + 1.72520e13i) q^{58} -1.36526e13 q^{59} +(5.23651e12 - 2.81389e13i) q^{60} +2.10077e13 q^{61} +(1.68402e13 - 1.68365e13i) q^{62} +(1.86015e13 - 4.83107e13i) q^{63} +(2.31397e10 - 3.51844e13i) q^{64} +7.48222e12i q^{65} +(2.82729e13 - 1.94056e13i) q^{66} +6.54581e13i q^{67} +(-6.97814e13 - 1.52977e10i) q^{68} +(1.17784e12 - 6.33698e12i) q^{69} +(1.06475e14 + 1.06498e14i) q^{70} +1.13149e14 q^{71} +(-7.78009e13 + 3.45133e13i) q^{72} +7.40026e13 q^{73} +(-8.30871e13 - 8.31053e13i) q^{74} +(1.56815e13 - 8.43692e13i) q^{75} +(-7.25163e13 - 1.58972e10i) q^{76} +1.80427e14i q^{77} +(1.83444e13 - 1.25910e13i) q^{78} -2.01713e13i q^{79} +(1.08557e11 - 2.47594e14i) q^{80} +(1.52725e14 + 1.38081e14i) q^{81} +(-2.67029e14 + 2.66971e14i) q^{82} -1.31804e14 q^{83} +(8.19303e13 - 4.40261e14i) q^{84} -4.91056e14 q^{85} +(1.19445e12 - 1.19419e12i) q^{86} +(5.02009e14 + 9.33075e13i) q^{87} +(2.09826e14 - 2.09688e14i) q^{88} -4.75996e13i q^{89} +(-5.47436e14 + 2.42992e14i) q^{90} +1.17067e14i q^{91} +(1.22232e10 - 5.57568e13i) q^{92} +(-4.89918e14 - 9.10602e13i) q^{93} +(2.04852e14 + 2.04897e14i) q^{94} -5.10301e14 q^{95} +(-6.07217e14 + 4.16382e14i) q^{96} +9.60484e14 q^{97} +(1.05828e15 + 1.05851e15i) q^{98} +(-6.69664e14 - 2.57846e14i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} + O(q^{10}) \) \( 28q + 26968q^{4} + 823656q^{6} - 3812052q^{9} - 43831600q^{10} - 226414248q^{12} + 124527272q^{13} - 1459325408q^{16} - 4234777584q^{18} - 7261350648q^{21} - 2533670160q^{22} - 18487781856q^{24} - 146804950740q^{25} + 5481093840q^{28} + 8237058960q^{30} + 204574669728q^{33} + 450165745472q^{34} + 232631927160q^{36} + 386069193224q^{37} + 1945471012160q^{40} + 1938106219632q^{42} - 5007113912640q^{45} + 2270790222432q^{46} + 5846474725152q^{48} - 18480860963084q^{49} - 6113229405424q^{52} + 1626598700568q^{54} + 8085872464056q^{57} - 19395437098192q^{58} - 10924219377600q^{60} - 16392792556696q^{61} + 21633892829056q^{64} + 4928819126448q^{66} + 137029869973056q^{69} + 91772543171040q^{70} + 66924493142592q^{72} + 158451626683736q^{73} - 205265768291280q^{76} + 58364283489648q^{78} + 116126816635836q^{81} - 750029796726880q^{82} - 92605433207856q^{84} - 30099357052160q^{85} - 619691835246912q^{88} - 471443548913520q^{90} - 777661615138584q^{93} + 1301107064491200q^{94} + 525428335287168q^{96} - 824166397720648q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −127.986 128.014i −0.707029 0.707184i
\(3\) −692.213 + 3724.21i −0.182738 + 0.983162i
\(4\) −7.18349 + 32768.0i −0.000219223 + 1.00000i
\(5\) 230590.i 1.31998i 0.751277 + 0.659988i \(0.229438\pi\)
−0.751277 + 0.659988i \(0.770562\pi\)
\(6\) 565345. 388034.i 0.824478 0.565894i
\(7\) 3.60781e6i 1.65580i 0.560876 + 0.827900i \(0.310465\pi\)
−0.560876 + 0.827900i \(0.689535\pi\)
\(8\) 4.19568e6 4.19292e6i 0.707339 0.706874i
\(9\) −1.33906e7 5.15589e6i −0.933213 0.359323i
\(10\) 2.95188e7 2.95123e7i 0.933466 0.933261i
\(11\) 5.00101e7 0.773771 0.386885 0.922128i \(-0.373551\pi\)
0.386885 + 0.922128i \(0.373551\pi\)
\(12\) −1.22030e8 2.27092e7i −0.983121 0.182954i
\(13\) 3.24482e7 0.143422 0.0717108 0.997425i \(-0.477154\pi\)
0.0717108 + 0.997425i \(0.477154\pi\)
\(14\) 4.61850e8 4.61749e8i 1.17096 1.17070i
\(15\) −8.58766e8 1.59617e8i −1.29775 0.241210i
\(16\) −1.07374e9 470777.i −1.00000 0.000438446i
\(17\) 2.12956e9i 1.25870i 0.777121 + 0.629351i \(0.216679\pi\)
−0.777121 + 0.629351i \(0.783321\pi\)
\(18\) 1.05378e9 + 2.37407e9i 0.405702 + 0.914006i
\(19\) 2.21302e9i 0.567981i 0.958827 + 0.283991i \(0.0916585\pi\)
−0.958827 + 0.283991i \(0.908342\pi\)
\(20\) −7.55598e9 1.65644e6i −1.31998 0.000289369i
\(21\) −1.34362e10 2.49737e9i −1.62792 0.302578i
\(22\) −6.40059e9 6.40199e9i −0.547079 0.547198i
\(23\) −1.70156e9 −0.104205 −0.0521026 0.998642i \(-0.516592\pi\)
−0.0521026 + 0.998642i \(0.516592\pi\)
\(24\) 1.27110e10 + 1.85280e10i 0.565713 + 0.824602i
\(25\) −2.26542e10 −0.742334
\(26\) −4.15291e9 4.15382e9i −0.101403 0.101426i
\(27\) 2.84708e10 4.63004e10i 0.523806 0.851837i
\(28\) −1.18221e11 2.59167e7i −1.65580 0.000362989i
\(29\) 1.34796e11i 1.45108i −0.688179 0.725541i \(-0.741589\pi\)
0.688179 0.725541i \(-0.258411\pi\)
\(30\) 8.94768e10 + 1.30363e11i 0.746966 + 1.08829i
\(31\) 1.31549e11i 0.858769i 0.903122 + 0.429385i \(0.141269\pi\)
−0.903122 + 0.429385i \(0.858731\pi\)
\(32\) 1.37364e11 + 1.37514e11i 0.706719 + 0.707494i
\(33\) −3.46176e10 + 1.86248e11i −0.141398 + 0.760742i
\(34\) 2.72614e11 2.72554e11i 0.890134 0.889939i
\(35\) −8.31925e11 −2.18561
\(36\) 1.69044e11 4.38746e11i 0.359527 0.933134i
\(37\) 6.49189e11 1.12424 0.562119 0.827056i \(-0.309986\pi\)
0.562119 + 0.827056i \(0.309986\pi\)
\(38\) 2.83298e11 2.83236e11i 0.401667 0.401579i
\(39\) −2.24610e10 + 1.20844e11i −0.0262087 + 0.141007i
\(40\) 9.66847e11 + 9.67483e11i 0.933056 + 0.933670i
\(41\) 2.08594e12i 1.67272i −0.548184 0.836358i \(-0.684681\pi\)
0.548184 0.836358i \(-0.315319\pi\)
\(42\) 1.39995e12 + 2.03965e12i 0.937008 + 1.36517i
\(43\) 9.33060e9i 0.00523475i 0.999997 + 0.00261738i \(0.000833138\pi\)
−0.999997 + 0.00261738i \(0.999167\pi\)
\(44\) −3.59247e8 + 1.63873e12i −0.000169628 + 0.773771i
\(45\) 1.18890e12 3.08774e12i 0.474297 1.23182i
\(46\) 2.17776e11 + 2.17824e11i 0.0736761 + 0.0736923i
\(47\) −1.60059e12 −0.460834 −0.230417 0.973092i \(-0.574009\pi\)
−0.230417 + 0.973092i \(0.574009\pi\)
\(48\) 7.45011e11 3.99852e12i 0.183170 0.983081i
\(49\) −8.26871e12 −1.74167
\(50\) 2.89942e12 + 2.90006e12i 0.524852 + 0.524967i
\(51\) −7.93093e12 1.47411e12i −1.23751 0.230013i
\(52\) −2.33091e8 + 1.06326e12i −3.14413e−5 + 0.143422i
\(53\) 1.07105e12i 0.125239i −0.998037 0.0626195i \(-0.980055\pi\)
0.998037 0.0626195i \(-0.0199455\pi\)
\(54\) −9.57096e12 + 2.28115e12i −0.972752 + 0.231846i
\(55\) 1.15318e13i 1.02136i
\(56\) 1.51273e13 + 1.51372e13i 1.17044 + 1.17121i
\(57\) −8.24177e12 1.53188e12i −0.558417 0.103792i
\(58\) −1.72558e13 + 1.72520e13i −1.02618 + 1.02596i
\(59\) −1.36526e13 −0.714208 −0.357104 0.934065i \(-0.616236\pi\)
−0.357104 + 0.934065i \(0.616236\pi\)
\(60\) 5.23651e12 2.81389e13i 0.241495 1.29770i
\(61\) 2.10077e13 0.855864 0.427932 0.903811i \(-0.359242\pi\)
0.427932 + 0.903811i \(0.359242\pi\)
\(62\) 1.68402e13 1.68365e13i 0.607308 0.607175i
\(63\) 1.86015e13 4.83107e13i 0.594967 1.54521i
\(64\) 2.31397e10 3.51844e13i 0.000657669 1.00000i
\(65\) 7.48222e12i 0.189313i
\(66\) 2.82729e13 1.94056e13i 0.637957 0.437872i
\(67\) 6.54581e13i 1.31948i 0.751495 + 0.659739i \(0.229333\pi\)
−0.751495 + 0.659739i \(0.770667\pi\)
\(68\) −6.97814e13 1.52977e10i −1.25870 0.000275936i
\(69\) 1.17784e12 6.33698e12i 0.0190423 0.102451i
\(70\) 1.06475e14 + 1.06498e14i 1.54529 + 1.54563i
\(71\) 1.13149e14 1.47643 0.738217 0.674563i \(-0.235668\pi\)
0.738217 + 0.674563i \(0.235668\pi\)
\(72\) −7.78009e13 + 3.45133e13i −0.914095 + 0.405501i
\(73\) 7.40026e13 0.784017 0.392009 0.919962i \(-0.371780\pi\)
0.392009 + 0.919962i \(0.371780\pi\)
\(74\) −8.30871e13 8.31053e13i −0.794869 0.795043i
\(75\) 1.56815e13 8.43692e13i 0.135653 0.729834i
\(76\) −7.25163e13 1.58972e10i −0.567981 0.000124514i
\(77\) 1.80427e14i 1.28121i
\(78\) 1.83444e13 1.25910e13i 0.118248 0.0811615i
\(79\) 2.01713e13i 0.118176i −0.998253 0.0590882i \(-0.981181\pi\)
0.998253 0.0590882i \(-0.0188193\pi\)
\(80\) 1.08557e11 2.47594e14i 0.000578737 1.31997i
\(81\) 1.52725e14 + 1.38081e14i 0.741774 + 0.670650i
\(82\) −2.67029e14 + 2.66971e14i −1.18292 + 1.18266i
\(83\) −1.31804e14 −0.533141 −0.266570 0.963815i \(-0.585890\pi\)
−0.266570 + 0.963815i \(0.585890\pi\)
\(84\) 8.19303e13 4.40261e14i 0.302935 1.62785i
\(85\) −4.91056e14 −1.66146
\(86\) 1.19445e12 1.19419e12i 0.00370194 0.00370112i
\(87\) 5.02009e14 + 9.33075e13i 1.42665 + 0.265169i
\(88\) 2.09826e14 2.09688e14i 0.547318 0.546959i
\(89\) 4.75996e13i 0.114072i −0.998372 0.0570359i \(-0.981835\pi\)
0.998372 0.0570359i \(-0.0181649\pi\)
\(90\) −5.47436e14 + 2.42992e14i −1.20646 + 0.535516i
\(91\) 1.17067e14i 0.237478i
\(92\) 1.22232e10 5.57568e13i 2.28442e−5 0.104205i
\(93\) −4.89918e14 9.10602e13i −0.844309 0.156930i
\(94\) 2.04852e14 + 2.04897e14i 0.325823 + 0.325895i
\(95\) −5.10301e14 −0.749721
\(96\) −6.07217e14 + 4.16382e14i −0.824726 + 0.565533i
\(97\) 9.60484e14 1.20699 0.603493 0.797368i \(-0.293775\pi\)
0.603493 + 0.797368i \(0.293775\pi\)
\(98\) 1.05828e15 + 1.05851e15i 1.23141 + 1.23168i
\(99\) −6.69664e14 2.57846e14i −0.722093 0.278034i
\(100\) 1.62737e11 7.42334e14i 0.000162737 0.742334i
\(101\) 3.73790e12i 0.00346911i −0.999998 0.00173455i \(-0.999448\pi\)
0.999998 0.00173455i \(-0.000552126\pi\)
\(102\) 8.26341e14 + 1.20394e15i 0.712292 + 1.03777i
\(103\) 4.51210e14i 0.361492i −0.983530 0.180746i \(-0.942149\pi\)
0.983530 0.180746i \(-0.0578513\pi\)
\(104\) 1.36142e14 1.36053e14i 0.101448 0.101381i
\(105\) 5.75869e14 3.09826e15i 0.399396 2.14881i
\(106\) −1.37109e14 + 1.37079e14i −0.0885670 + 0.0885476i
\(107\) −2.28317e14 −0.137455 −0.0687275 0.997635i \(-0.521894\pi\)
−0.0687275 + 0.997635i \(0.521894\pi\)
\(108\) 1.51697e15 + 9.33262e14i 0.851722 + 0.523993i
\(109\) −1.64664e13 −0.00862781 −0.00431391 0.999991i \(-0.501373\pi\)
−0.00431391 + 0.999991i \(0.501373\pi\)
\(110\) 1.47624e15 1.47591e15i 0.722288 0.722130i
\(111\) −4.49377e14 + 2.41772e15i −0.205442 + 1.10531i
\(112\) 1.69847e12 3.87385e15i 0.000725978 1.65580i
\(113\) 1.34829e15i 0.539131i 0.962982 + 0.269566i \(0.0868801\pi\)
−0.962982 + 0.269566i \(0.913120\pi\)
\(114\) 8.58728e14 + 1.25112e15i 0.321417 + 0.468288i
\(115\) 3.92364e14i 0.137548i
\(116\) 4.41700e15 + 9.68307e11i 1.45108 + 0.000318110i
\(117\) −4.34500e14 1.67299e14i −0.133843 0.0515347i
\(118\) 1.74734e15 + 1.74772e15i 0.504966 + 0.505077i
\(119\) −7.68304e15 −2.08416
\(120\) −4.27238e15 + 2.93104e15i −1.08845 + 0.746728i
\(121\) −1.67624e15 −0.401279
\(122\) −2.68869e15 2.68928e15i −0.605121 0.605254i
\(123\) 7.76847e15 + 1.44391e15i 1.64455 + 0.305669i
\(124\) −4.31061e15 9.44985e11i −0.858769 0.000188262i
\(125\) 1.81321e15i 0.340113i
\(126\) −8.56517e15 + 3.80184e15i −1.51341 + 0.671761i
\(127\) 9.11858e15i 1.51845i −0.650831 0.759223i \(-0.725579\pi\)
0.650831 0.759223i \(-0.274421\pi\)
\(128\) −4.50705e15 + 4.50014e15i −0.707649 + 0.706564i
\(129\) −3.47491e13 6.45876e12i −0.00514661 0.000956591i
\(130\) 9.57830e14 9.57620e14i 0.133879 0.133850i
\(131\) 3.30193e15 0.435745 0.217873 0.975977i \(-0.430088\pi\)
0.217873 + 0.975977i \(0.430088\pi\)
\(132\) −6.10273e15 1.13569e15i −0.760711 0.141564i
\(133\) −7.98416e15 −0.940463
\(134\) 8.37955e15 8.37772e15i 0.933114 0.932910i
\(135\) 1.06764e16 + 6.56508e15i 1.12440 + 0.691411i
\(136\) 8.92908e15 + 8.93496e15i 0.889744 + 0.890329i
\(137\) 1.08435e16i 1.02274i 0.859361 + 0.511370i \(0.170862\pi\)
−0.859361 + 0.511370i \(0.829138\pi\)
\(138\) −9.61970e14 + 6.60264e14i −0.0859149 + 0.0589691i
\(139\) 9.56396e15i 0.809146i 0.914506 + 0.404573i \(0.132580\pi\)
−0.914506 + 0.404573i \(0.867420\pi\)
\(140\) 5.97613e12 2.72605e16i 0.000479137 2.18561i
\(141\) 1.10795e15 5.96092e15i 0.0842122 0.453075i
\(142\) −1.44815e16 1.44847e16i −1.04388 1.04411i
\(143\) 1.62273e15 0.110976
\(144\) 1.43756e16 + 5.54240e15i 0.933056 + 0.359732i
\(145\) 3.10826e16 1.91539
\(146\) −9.47130e15 9.47337e15i −0.554323 0.554445i
\(147\) 5.72370e15 3.07944e16i 0.318271 1.71235i
\(148\) −4.66344e12 + 2.12726e16i −0.000246459 + 1.12424i
\(149\) 3.88677e16i 1.95296i 0.215619 + 0.976478i \(0.430823\pi\)
−0.215619 + 0.976478i \(0.569177\pi\)
\(150\) −1.28075e16 + 8.79061e15i −0.612038 + 0.420083i
\(151\) 9.17970e15i 0.417351i 0.977985 + 0.208675i \(0.0669152\pi\)
−0.977985 + 0.208675i \(0.933085\pi\)
\(152\) 9.27904e15 + 9.28514e15i 0.401491 + 0.401755i
\(153\) 1.09798e16 2.85161e16i 0.452281 1.17464i
\(154\) 2.30971e16 2.30921e16i 0.906051 0.905853i
\(155\) −3.03340e16 −1.13355
\(156\) −3.95965e15 7.36871e14i −0.141001 0.0262396i
\(157\) −1.09692e16 −0.372328 −0.186164 0.982519i \(-0.559606\pi\)
−0.186164 + 0.982519i \(0.559606\pi\)
\(158\) −2.58221e15 + 2.58164e15i −0.0835724 + 0.0835541i
\(159\) 3.98881e15 + 7.41392e14i 0.123130 + 0.0228860i
\(160\) −3.17094e16 + 3.16747e16i −0.933875 + 0.932852i
\(161\) 6.13891e15i 0.172543i
\(162\) −1.87033e15 3.72233e16i −0.0501830 0.998740i
\(163\) 5.22199e16i 1.33792i 0.743300 + 0.668959i \(0.233260\pi\)
−0.743300 + 0.668959i \(0.766740\pi\)
\(164\) 6.83519e16 + 1.49843e13i 1.67272 + 0.000366697i
\(165\) −4.29470e16 7.98248e15i −1.00416 0.186641i
\(166\) 1.68690e16 + 1.68727e16i 0.376946 + 0.377029i
\(167\) 1.59105e16 0.339867 0.169934 0.985456i \(-0.445645\pi\)
0.169934 + 0.985456i \(0.445645\pi\)
\(168\) −6.68455e16 + 4.58589e16i −1.36538 + 0.936708i
\(169\) −5.01330e16 −0.979430
\(170\) 6.28482e16 + 6.28620e16i 1.17470 + 1.17496i
\(171\) 1.14101e16 2.96337e16i 0.204089 0.530048i
\(172\) −3.05745e14 6.70263e10i −0.00523475 1.14758e-6i
\(173\) 1.02199e17i 1.67533i −0.546181 0.837667i \(-0.683919\pi\)
0.546181 0.837667i \(-0.316081\pi\)
\(174\) −5.23054e16 7.62062e16i −0.821159 1.19639i
\(175\) 8.17321e16i 1.22916i
\(176\) −5.36979e16 2.35436e13i −0.773771 0.000339256i
\(177\) 9.45049e15 5.08451e16i 0.130513 0.702182i
\(178\) −6.09342e15 + 6.09208e15i −0.0806698 + 0.0806521i
\(179\) −1.49145e17 −1.89327 −0.946633 0.322313i \(-0.895540\pi\)
−0.946633 + 0.322313i \(0.895540\pi\)
\(180\) 1.01170e17 + 3.89800e16i 1.23171 + 0.474567i
\(181\) 3.50317e15 0.0409140 0.0204570 0.999791i \(-0.493488\pi\)
0.0204570 + 0.999791i \(0.493488\pi\)
\(182\) 1.49862e16 1.49829e16i 0.167940 0.167904i
\(183\) −1.45418e16 + 7.82371e16i −0.156399 + 0.841453i
\(184\) −7.13922e15 + 7.13453e15i −0.0737084 + 0.0736600i
\(185\) 1.49697e17i 1.48397i
\(186\) 5.10456e16 + 7.43708e16i 0.485972 + 0.708036i
\(187\) 1.06499e17i 0.973947i
\(188\) 1.14978e13 5.24480e16i 0.000101025 0.460834i
\(189\) 1.67043e17 + 1.02717e17i 1.41047 + 0.867319i
\(190\) 6.53114e16 + 6.53257e16i 0.530075 + 0.530191i
\(191\) −1.66729e15 −0.0130095 −0.00650477 0.999979i \(-0.502071\pi\)
−0.00650477 + 0.999979i \(0.502071\pi\)
\(192\) 1.31018e17 + 2.44412e16i 0.983041 + 0.183385i
\(193\) −3.73696e16 −0.269673 −0.134837 0.990868i \(-0.543051\pi\)
−0.134837 + 0.990868i \(0.543051\pi\)
\(194\) −1.22928e17 1.22955e17i −0.853374 0.853561i
\(195\) −2.78654e16 5.17929e15i −0.186125 0.0345948i
\(196\) 5.93982e13 2.70949e17i 0.000381815 1.74167i
\(197\) 2.22270e17i 1.37525i −0.726064 0.687627i \(-0.758652\pi\)
0.726064 0.687627i \(-0.241348\pi\)
\(198\) 5.26997e16 + 1.18727e17i 0.313920 + 0.707231i
\(199\) 1.65557e17i 0.949618i −0.880089 0.474809i \(-0.842517\pi\)
0.880089 0.474809i \(-0.157483\pi\)
\(200\) −9.50500e16 + 9.49875e16i −0.525082 + 0.524737i
\(201\) −2.43780e17 4.53109e16i −1.29726 0.241119i
\(202\) −4.78504e14 + 4.78399e14i −0.00245330 + 0.00245276i
\(203\) 4.86318e17 2.40270
\(204\) 4.83605e16 2.59870e17i 0.230285 1.23746i
\(205\) 4.80996e17 2.20794
\(206\) −5.77612e16 + 5.77485e16i −0.255642 + 0.255586i
\(207\) 2.27849e16 + 8.77307e15i 0.0972457 + 0.0374433i
\(208\) −3.48409e16 1.52759e13i −0.143422 6.28826e-5i
\(209\) 1.10673e17i 0.439487i
\(210\) −4.70324e17 + 3.22815e17i −1.80199 + 1.23683i
\(211\) 2.09971e17i 0.776321i −0.921592 0.388161i \(-0.873111\pi\)
0.921592 0.388161i \(-0.126889\pi\)
\(212\) 3.50961e16 + 7.69386e12i 0.125239 + 2.74552e-5i
\(213\) −7.83233e16 + 4.21392e17i −0.269801 + 1.45157i
\(214\) 2.92214e16 + 2.92278e16i 0.0971848 + 0.0972061i
\(215\) −2.15155e15 −0.00690974
\(216\) −7.46799e16 3.13638e17i −0.231633 0.972803i
\(217\) −4.74605e17 −1.42195
\(218\) 2.10747e15 + 2.10793e15i 0.00610012 + 0.00610145i
\(219\) −5.12255e16 + 2.75601e17i −0.143270 + 0.770816i
\(220\) −3.77875e17 8.28388e13i −1.02136 0.000223905i
\(221\) 6.91003e16i 0.180525i
\(222\) 3.67016e17 2.51907e17i 0.926909 0.636200i
\(223\) 1.89473e17i 0.462660i 0.972875 + 0.231330i \(0.0743076\pi\)
−0.972875 + 0.231330i \(0.925692\pi\)
\(224\) −4.96125e17 + 4.95581e17i −1.17147 + 1.17019i
\(225\) 3.03354e17 + 1.16803e17i 0.692756 + 0.266738i
\(226\) 1.72600e17 1.72562e17i 0.381265 0.381182i
\(227\) 2.88628e17 0.616801 0.308400 0.951257i \(-0.400206\pi\)
0.308400 + 0.951257i \(0.400206\pi\)
\(228\) 5.02559e16 2.70055e17i 0.103914 0.558395i
\(229\) −6.29239e17 −1.25907 −0.629535 0.776973i \(-0.716754\pi\)
−0.629535 + 0.776973i \(0.716754\pi\)
\(230\) −5.02281e16 + 5.02171e16i −0.0972720 + 0.0972506i
\(231\) −6.71947e17 1.24894e17i −1.25964 0.234126i
\(232\) −5.65190e17 5.65561e17i −1.02573 1.02641i
\(233\) 1.93811e17i 0.340572i 0.985395 + 0.170286i \(0.0544692\pi\)
−0.985395 + 0.170286i \(0.945531\pi\)
\(234\) 3.41933e16 + 7.70340e16i 0.0581864 + 0.131088i
\(235\) 3.69079e17i 0.608290i
\(236\) 9.80732e13 4.47368e17i 0.000156571 0.714208i
\(237\) 7.51221e16 + 1.39628e16i 0.116186 + 0.0215954i
\(238\) 9.83321e17 + 9.83537e17i 1.47356 + 1.47388i
\(239\) 3.34883e17 0.486305 0.243153 0.969988i \(-0.421818\pi\)
0.243153 + 0.969988i \(0.421818\pi\)
\(240\) 9.22018e17 + 1.71792e17i 1.29764 + 0.241779i
\(241\) 1.03195e18 1.40777 0.703887 0.710312i \(-0.251446\pi\)
0.703887 + 0.710312i \(0.251446\pi\)
\(242\) 2.14535e17 + 2.14582e17i 0.283716 + 0.283778i
\(243\) −6.19960e17 + 4.73198e17i −0.794908 + 0.606730i
\(244\) −1.50909e14 + 6.88380e17i −0.000187625 + 0.855864i
\(245\) 1.90668e18i 2.29897i
\(246\) −8.09414e17 1.17927e18i −0.946580 1.37912i
\(247\) 7.18085e16i 0.0814608i
\(248\) 5.51577e17 + 5.51940e17i 0.607042 + 0.607441i
\(249\) 9.12362e16 4.90865e17i 0.0974254 0.524164i
\(250\) 2.32116e17 2.32065e17i 0.240522 0.240470i
\(251\) 1.25407e17 0.126115 0.0630577 0.998010i \(-0.479915\pi\)
0.0630577 + 0.998010i \(0.479915\pi\)
\(252\) 1.58291e18 + 6.09880e17i 1.54508 + 0.595306i
\(253\) −8.50953e16 −0.0806309
\(254\) −1.16731e18 + 1.16705e18i −1.07382 + 1.07359i
\(255\) 3.39915e17 1.82879e18i 0.303612 1.63348i
\(256\) 1.15292e18 + 1.01099e15i 1.00000 + 0.000876891i
\(257\) 1.24842e18i 1.05163i −0.850599 0.525815i \(-0.823761\pi\)
0.850599 0.525815i \(-0.176239\pi\)
\(258\) 3.62059e15 + 5.27501e15i 0.00296232 + 0.00431594i
\(259\) 2.34215e18i 1.86151i
\(260\) −2.45178e17 5.37485e13i −0.189313 4.15017e-5i
\(261\) −6.94994e17 + 1.80500e18i −0.521407 + 1.35417i
\(262\) −4.22600e17 4.22693e17i −0.308085 0.308152i
\(263\) −2.36889e18 −1.67833 −0.839165 0.543877i \(-0.816956\pi\)
−0.839165 + 0.543877i \(0.816956\pi\)
\(264\) 6.35680e17 + 9.26587e17i 0.437732 + 0.638053i
\(265\) 2.46973e17 0.165312
\(266\) 1.02186e18 + 1.02208e18i 0.664935 + 0.665081i
\(267\) 1.77271e17 + 3.29490e16i 0.112151 + 0.0208453i
\(268\) −2.14493e18 4.70218e14i −1.31948 0.000289260i
\(269\) 7.72361e17i 0.462039i 0.972949 + 0.231019i \(0.0742061\pi\)
−0.972949 + 0.231019i \(0.925794\pi\)
\(270\) −5.26010e17 2.20697e18i −0.306031 1.28401i
\(271\) 1.73967e17i 0.0984459i 0.998788 + 0.0492230i \(0.0156745\pi\)
−0.998788 + 0.0492230i \(0.984326\pi\)
\(272\) 1.00255e15 2.28660e18i 0.000551873 1.25870i
\(273\) −4.35981e17 8.10350e16i −0.233479 0.0433963i
\(274\) 1.38812e18 1.38782e18i 0.723266 0.723107i
\(275\) −1.13294e18 −0.574396
\(276\) 2.07642e17 + 3.86411e16i 0.102446 + 0.0190648i
\(277\) −6.52779e17 −0.313450 −0.156725 0.987642i \(-0.550094\pi\)
−0.156725 + 0.987642i \(0.550094\pi\)
\(278\) 1.22432e18 1.22405e18i 0.572215 0.572090i
\(279\) 6.78255e17 1.76153e18i 0.308575 0.801415i
\(280\) −3.49049e18 + 3.48820e18i −1.54597 + 1.54495i
\(281\) 1.74081e18i 0.750681i 0.926887 + 0.375340i \(0.122474\pi\)
−0.926887 + 0.375340i \(0.877526\pi\)
\(282\) −9.04882e17 + 6.21081e17i −0.379948 + 0.260783i
\(283\) 5.03165e17i 0.205737i −0.994695 0.102868i \(-0.967198\pi\)
0.994695 0.102868i \(-0.0328020\pi\)
\(284\) −8.12807e14 + 3.70768e18i −0.000323668 + 1.47643i
\(285\) 3.53237e17 1.90047e18i 0.137003 0.737097i
\(286\) −2.07687e17 2.07733e17i −0.0784629 0.0784801i
\(287\) 7.52565e18 2.76968
\(288\) −1.13037e18 2.54963e18i −0.405301 0.914183i
\(289\) −1.67260e18 −0.584331
\(290\) −3.97814e18 3.97901e18i −1.35424 1.35454i
\(291\) −6.64859e17 + 3.57705e18i −0.220563 + 1.18666i
\(292\) −5.31597e14 + 2.42492e18i −0.000171875 + 0.784017i
\(293\) 4.05786e18i 1.27876i 0.768890 + 0.639381i \(0.220809\pi\)
−0.768890 + 0.639381i \(0.779191\pi\)
\(294\) −4.67467e18 + 3.20854e18i −1.43597 + 0.985603i
\(295\) 3.14815e18i 0.942737i
\(296\) 2.72379e18 2.72200e18i 0.795218 0.794695i
\(297\) 1.42382e18 2.31549e18i 0.405306 0.659127i
\(298\) 4.97562e18 4.97453e18i 1.38110 1.38080i
\(299\) −5.52126e16 −0.0149453
\(300\) 2.76450e18 + 5.14459e17i 0.729805 + 0.135813i
\(301\) −3.36630e16 −0.00866771
\(302\) 1.17513e18 1.17487e18i 0.295144 0.295079i
\(303\) 1.39207e16 + 2.58742e15i 0.00341069 + 0.000633939i
\(304\) 1.04184e15 2.37622e18i 0.000249029 0.567981i
\(305\) 4.84417e18i 1.12972i
\(306\) −5.05571e18 + 2.24409e18i −1.15046 + 0.510657i
\(307\) 6.68813e17i 0.148514i −0.997239 0.0742569i \(-0.976342\pi\)
0.997239 0.0742569i \(-0.0236585\pi\)
\(308\) −5.91222e18 1.29609e15i −1.28121 0.000280870i
\(309\) 1.68040e18 + 3.12333e17i 0.355405 + 0.0660586i
\(310\) 3.88233e18 + 3.88318e18i 0.801456 + 0.801631i
\(311\) −7.17446e18 −1.44573 −0.722863 0.690991i \(-0.757174\pi\)
−0.722863 + 0.690991i \(0.757174\pi\)
\(312\) 4.12450e17 + 6.01200e17i 0.0811356 + 0.118266i
\(313\) 7.65538e18 1.47023 0.735114 0.677944i \(-0.237129\pi\)
0.735114 + 0.677944i \(0.237129\pi\)
\(314\) 1.40390e18 + 1.40421e18i 0.263247 + 0.263305i
\(315\) 1.11400e19 + 4.28931e18i 2.03964 + 0.785342i
\(316\) 6.60973e17 + 1.44900e14i 0.118176 + 2.59069e-5i
\(317\) 2.51712e18i 0.439500i −0.975556 0.219750i \(-0.929476\pi\)
0.975556 0.219750i \(-0.0705242\pi\)
\(318\) −4.15603e17 6.05511e17i −0.0708720 0.103257i
\(319\) 6.74116e18i 1.12281i
\(320\) 8.11317e18 + 5.33578e15i 1.31997 + 0.000868106i
\(321\) 1.58044e17 8.50303e17i 0.0251183 0.135141i
\(322\) −7.85867e17 + 7.85694e17i −0.122020 + 0.121993i
\(323\) −4.71277e18 −0.714919
\(324\) −4.52573e18 + 5.00349e18i −0.670812 + 0.741627i
\(325\) −7.35088e17 −0.106467
\(326\) 6.68488e18 6.68342e18i 0.946154 0.945947i
\(327\) 1.13983e16 6.13245e16i 0.00157663 0.00848253i
\(328\) −8.74617e18 8.75193e18i −1.18240 1.18318i
\(329\) 5.77460e18i 0.763050i
\(330\) 4.47474e18 + 6.51946e18i 0.577981 + 0.842087i
\(331\) 1.13410e19i 1.43200i 0.698102 + 0.715998i \(0.254028\pi\)
−0.698102 + 0.715998i \(0.745972\pi\)
\(332\) 9.46811e14 4.31894e18i 0.000116877 0.533141i
\(333\) −8.69302e18 3.34715e18i −1.04915 0.403964i
\(334\) −2.03632e18 2.03676e18i −0.240296 0.240349i
\(335\) −1.50940e19 −1.74168
\(336\) 1.44259e19 + 2.68785e18i 1.62779 + 0.303292i
\(337\) −1.08624e19 −1.19867 −0.599336 0.800497i \(-0.704569\pi\)
−0.599336 + 0.800497i \(0.704569\pi\)
\(338\) 6.41632e18 + 6.41773e18i 0.692486 + 0.692638i
\(339\) −5.02131e18 9.33302e17i −0.530053 0.0985201i
\(340\) 3.52749e15 1.60909e19i 0.000364229 1.66146i
\(341\) 6.57880e18i 0.664490i
\(342\) −5.25386e18 + 2.33204e18i −0.519138 + 0.230431i
\(343\) 1.27036e19i 1.22806i
\(344\) 3.91225e16 + 3.91483e16i 0.00370031 + 0.00370275i
\(345\) 1.46125e18 + 2.71599e17i 0.135232 + 0.0251354i
\(346\) −1.30829e19 + 1.30801e19i −1.18477 + 1.18451i
\(347\) 1.19354e19 1.05771 0.528855 0.848712i \(-0.322622\pi\)
0.528855 + 0.848712i \(0.322622\pi\)
\(348\) −3.06111e18 + 1.64492e19i −0.265481 + 1.42659i
\(349\) −6.22554e18 −0.528429 −0.264214 0.964464i \(-0.585113\pi\)
−0.264214 + 0.964464i \(0.585113\pi\)
\(350\) −1.04629e19 + 1.04606e19i −0.869240 + 0.869050i
\(351\) 9.23824e17 1.50236e18i 0.0751252 0.122172i
\(352\) 6.86956e18 + 6.87710e18i 0.546839 + 0.547438i
\(353\) 1.13953e19i 0.888002i −0.896026 0.444001i \(-0.853559\pi\)
0.896026 0.444001i \(-0.146441\pi\)
\(354\) −7.71841e18 + 5.29766e18i −0.588849 + 0.404166i
\(355\) 2.60911e19i 1.94886i
\(356\) 1.55974e18 + 3.41931e14i 0.114072 + 2.50071e-5i
\(357\) 5.31830e18 2.86133e19i 0.380856 2.04907i
\(358\) 1.90885e19 + 1.90927e19i 1.33859 + 1.33889i
\(359\) −1.11358e19 −0.764742 −0.382371 0.924009i \(-0.624892\pi\)
−0.382371 + 0.924009i \(0.624892\pi\)
\(360\) −7.95842e18 1.79401e19i −0.535251 1.20658i
\(361\) 1.02837e19 0.677397
\(362\) −4.48357e17 4.48455e17i −0.0289274 0.0289338i
\(363\) 1.16032e18 6.24268e18i 0.0733291 0.394522i
\(364\) −3.83604e18 8.40948e14i −0.237478 5.20605e-5i
\(365\) 1.70643e19i 1.03488i
\(366\) 1.18766e19 8.15170e18i 0.705641 0.484329i
\(367\) 3.20105e19i 1.86336i −0.363280 0.931680i \(-0.618343\pi\)
0.363280 0.931680i \(-0.381657\pi\)
\(368\) 1.82704e18 + 8.01058e14i 0.104205 + 4.56883e-5i
\(369\) −1.07549e19 + 2.79319e19i −0.601045 + 1.56100i
\(370\) 1.91633e19 1.91591e19i 1.04944 1.04921i
\(371\) 3.86413e18 0.207371
\(372\) 2.98738e18 1.60530e19i 0.157115 0.844274i
\(373\) 2.66646e19 1.37442 0.687208 0.726460i \(-0.258836\pi\)
0.687208 + 0.726460i \(0.258836\pi\)
\(374\) 1.36334e19 1.36304e19i 0.688760 0.688609i
\(375\) −6.75277e18 1.25513e18i −0.334386 0.0621516i
\(376\) −6.71555e18 + 6.71113e18i −0.325966 + 0.325752i
\(377\) 4.37388e18i 0.208117i
\(378\) −8.22994e18 3.45302e19i −0.383891 1.61068i
\(379\) 3.72652e19i 1.70416i 0.523414 + 0.852078i \(0.324658\pi\)
−0.523414 + 0.852078i \(0.675342\pi\)
\(380\) 3.66575e15 1.67216e19i 0.000164356 0.749721i
\(381\) 3.39595e19 + 6.31199e18i 1.49288 + 0.277478i
\(382\) 2.13390e17 + 2.13437e17i 0.00919813 + 0.00920014i
\(383\) 3.64339e19 1.53998 0.769991 0.638055i \(-0.220261\pi\)
0.769991 + 0.638055i \(0.220261\pi\)
\(384\) −1.36396e19 1.99003e19i −0.565352 0.824850i
\(385\) −4.16046e19 −1.69116
\(386\) 4.78278e18 + 4.78383e18i 0.190667 + 0.190709i
\(387\) 4.81076e16 1.24942e17i 0.00188097 0.00488514i
\(388\) −6.89963e15 + 3.14731e19i −0.000264599 + 1.20699i
\(389\) 1.65885e17i 0.00624000i −0.999995 0.00312000i \(-0.999007\pi\)
0.999995 0.00312000i \(-0.000993128\pi\)
\(390\) 2.90336e18 + 4.23004e18i 0.107131 + 0.156084i
\(391\) 3.62358e18i 0.131163i
\(392\) −3.46929e19 + 3.46701e19i −1.23195 + 1.23114i
\(393\) −2.28563e18 + 1.22971e19i −0.0796274 + 0.428408i
\(394\) −2.84536e19 + 2.84474e19i −0.972559 + 0.972345i
\(395\) 4.65130e18 0.155990
\(396\) 8.45392e18 2.19417e19i 0.278192 0.722032i
\(397\) 2.28171e19 0.736771 0.368385 0.929673i \(-0.379911\pi\)
0.368385 + 0.929673i \(0.379911\pi\)
\(398\) −2.11936e19 + 2.11890e19i −0.671555 + 0.671408i
\(399\) 5.52674e18 2.97347e19i 0.171859 0.924628i
\(400\) 2.43248e19 + 1.06651e16i 0.742334 + 0.000325473i
\(401\) 2.16175e19i 0.647474i 0.946147 + 0.323737i \(0.104939\pi\)
−0.946147 + 0.323737i \(0.895061\pi\)
\(402\) 2.54000e19 + 3.70064e19i 0.746685 + 1.08788i
\(403\) 4.26854e18i 0.123166i
\(404\) 1.22484e17 + 2.68512e13i 0.00346911 + 7.60508e-7i
\(405\) −3.18401e19 + 3.52168e19i −0.885241 + 0.979123i
\(406\) −6.22419e19 6.22555e19i −1.69878 1.69915i
\(407\) 3.24660e19 0.869902
\(408\) −3.94565e19 + 2.70689e19i −1.03793 + 0.712065i
\(409\) 1.02772e19 0.265430 0.132715 0.991154i \(-0.457631\pi\)
0.132715 + 0.991154i \(0.457631\pi\)
\(410\) −6.15608e19 6.15743e19i −1.56108 1.56142i
\(411\) −4.03835e19 7.50601e18i −1.00552 0.186894i
\(412\) 1.47852e19 + 3.24126e15i 0.361492 + 7.92474e-5i
\(413\) 4.92559e19i 1.18259i
\(414\) −1.79308e18 4.03962e18i −0.0422762 0.0952441i
\(415\) 3.03926e19i 0.703733i
\(416\) 4.45720e18 + 4.46208e18i 0.101359 + 0.101470i
\(417\) −3.56182e19 6.62029e18i −0.795521 0.147862i
\(418\) 1.41678e19 1.41646e19i 0.310798 0.310730i
\(419\) 2.39246e19 0.515514 0.257757 0.966210i \(-0.417017\pi\)
0.257757 + 0.966210i \(0.417017\pi\)
\(420\) 1.01520e20 + 1.88923e19i 2.14872 + 0.399867i
\(421\) −5.43020e19 −1.12902 −0.564508 0.825428i \(-0.690934\pi\)
−0.564508 + 0.825428i \(0.690934\pi\)
\(422\) −2.68793e19 + 2.68734e19i −0.549002 + 0.548882i
\(423\) 2.14328e19 + 8.25244e18i 0.430057 + 0.165588i
\(424\) −4.49082e18 4.49377e18i −0.0885282 0.0885865i
\(425\) 4.82436e19i 0.934378i
\(426\) 6.39683e19 4.39057e19i 1.21729 0.835506i
\(427\) 7.57917e19i 1.41714i
\(428\) 1.64012e15 7.48151e18i 3.01333e−5 0.137455i
\(429\) −1.12328e18 + 6.04341e18i −0.0202795 + 0.109107i
\(430\) 2.75368e17 + 2.75428e17i 0.00488539 + 0.00488646i
\(431\) −5.18781e19 −0.904492 −0.452246 0.891893i \(-0.649377\pi\)
−0.452246 + 0.891893i \(0.649377\pi\)
\(432\) −3.05920e19 + 4.97013e19i −0.524180 + 0.851608i
\(433\) 5.01390e19 0.844338 0.422169 0.906517i \(-0.361269\pi\)
0.422169 + 0.906517i \(0.361269\pi\)
\(434\) 6.07428e19 + 6.07561e19i 1.00536 + 1.00558i
\(435\) −2.15158e19 + 1.15758e20i −0.350016 + 1.88314i
\(436\) 1.18287e14 5.39572e17i 1.89141e−6 0.00862781i
\(437\) 3.76560e18i 0.0591866i
\(438\) 4.18370e19 2.87155e19i 0.646405 0.443671i
\(439\) 1.18283e20i 1.79655i −0.439436 0.898274i \(-0.644822\pi\)
0.439436 0.898274i \(-0.355178\pi\)
\(440\) 4.83521e19 + 4.83839e19i 0.721972 + 0.722447i
\(441\) 1.10723e20 + 4.26325e19i 1.62535 + 0.625823i
\(442\) 8.84581e18 8.84387e18i 0.127665 0.127637i
\(443\) −5.06788e19 −0.719115 −0.359558 0.933123i \(-0.617072\pi\)
−0.359558 + 0.933123i \(0.617072\pi\)
\(444\) −7.92205e19 1.47425e19i −1.10526 0.205684i
\(445\) 1.09760e19 0.150572
\(446\) 2.42552e19 2.42499e19i 0.327186 0.327114i
\(447\) −1.44752e20 2.69047e19i −1.92007 0.356880i
\(448\) 1.26938e20 + 8.34834e16i 1.65580 + 0.00108897i
\(449\) 7.96167e19i 1.02131i −0.859787 0.510654i \(-0.829403\pi\)
0.859787 0.510654i \(-0.170597\pi\)
\(450\) −2.38726e19 5.37826e19i −0.301166 0.678498i
\(451\) 1.04318e20i 1.29430i
\(452\) −4.41807e19 9.68543e15i −0.539131 0.000118190i
\(453\) −3.41871e19 6.35430e18i −0.410323 0.0762661i
\(454\) −3.69404e19 3.69485e19i −0.436096 0.436192i
\(455\) −2.69944e19 −0.313465
\(456\) −4.10029e19 + 2.81298e19i −0.468358 + 0.321315i
\(457\) 5.70521e19 0.641062 0.320531 0.947238i \(-0.396139\pi\)
0.320531 + 0.947238i \(0.396139\pi\)
\(458\) 8.05338e19 + 8.05514e19i 0.890199 + 0.890394i
\(459\) 9.85995e19 + 6.06302e19i 1.07221 + 0.659316i
\(460\) 1.28570e19 + 2.81854e15i 0.137548 + 3.01537e-5i
\(461\) 1.15240e19i 0.121296i −0.998159 0.0606480i \(-0.980683\pi\)
0.998159 0.0606480i \(-0.0193167\pi\)
\(462\) 7.00116e19 + 1.02003e20i 0.725029 + 1.05633i
\(463\) 1.40236e20i 1.42890i 0.699686 + 0.714450i \(0.253323\pi\)
−0.699686 + 0.714450i \(0.746677\pi\)
\(464\) −6.34589e16 + 1.44736e20i −0.000636221 + 1.45108i
\(465\) 2.09976e19 1.12970e20i 0.207144 1.11447i
\(466\) 2.48105e19 2.48051e19i 0.240847 0.240795i
\(467\) 1.53342e20 1.46482 0.732409 0.680865i \(-0.238396\pi\)
0.732409 + 0.680865i \(0.238396\pi\)
\(468\) 5.48518e18 1.42365e19i 0.0515640 0.133832i
\(469\) −2.36160e20 −2.18479
\(470\) −4.72473e19 + 4.72370e19i −0.430173 + 0.430079i
\(471\) 7.59299e18 4.08514e19i 0.0680387 0.366059i
\(472\) −5.72819e19 + 5.72442e19i −0.505187 + 0.504855i
\(473\) 4.66624e17i 0.00405050i
\(474\) −7.82714e18 1.14037e19i −0.0668753 0.0974338i
\(475\) 5.01344e19i 0.421632i
\(476\) 5.51911e16 2.51758e20i 0.000456895 2.08416i
\(477\) −5.52220e18 + 1.43420e19i −0.0450012 + 0.116875i
\(478\) −4.28603e19 4.28697e19i −0.343832 0.343907i
\(479\) 4.22260e19 0.333475 0.166738 0.986001i \(-0.446677\pi\)
0.166738 + 0.986001i \(0.446677\pi\)
\(480\) −9.60136e19 1.40018e20i −0.746489 1.08862i
\(481\) 2.10650e19 0.161240
\(482\) −1.32076e20 1.32105e20i −0.995337 0.995555i
\(483\) 2.28626e19 + 4.24943e18i 0.169638 + 0.0315302i
\(484\) 1.20413e16 5.49271e19i 8.79695e−5 0.401279i
\(485\) 2.21478e20i 1.59319i
\(486\) 1.39922e20 + 1.88009e19i 0.991093 + 0.133170i
\(487\) 7.52066e18i 0.0524552i 0.999656 + 0.0262276i \(0.00834946\pi\)
−0.999656 + 0.0262276i \(0.991651\pi\)
\(488\) 8.81417e19 8.80837e19i 0.605386 0.604988i
\(489\) −1.94478e20 3.61473e19i −1.31539 0.244489i
\(490\) −2.44082e20 + 2.44029e20i −1.62579 + 1.62544i
\(491\) −1.46276e20 −0.959539 −0.479769 0.877395i \(-0.659280\pi\)
−0.479769 + 0.877395i \(0.659280\pi\)
\(492\) −4.73699e19 + 2.54547e20i −0.306030 + 1.64448i
\(493\) 2.87056e20 1.82648
\(494\) 9.19250e18 9.19048e18i 0.0576078 0.0575952i
\(495\) 5.94569e19 1.54418e20i 0.366997 0.953145i
\(496\) 6.19305e16 1.41250e20i 0.000376524 0.858769i
\(497\) 4.08221e20i 2.44468i
\(498\) −7.45145e19 + 5.11443e19i −0.439563 + 0.301701i
\(499\) 9.08565e19i 0.527961i 0.964528 + 0.263981i \(0.0850355\pi\)
−0.964528 + 0.263981i \(0.914965\pi\)
\(500\) −5.94152e19 1.30252e16i −0.340113 7.45604e-5i
\(501\) −1.10134e19 + 5.92539e19i −0.0621068 + 0.334144i
\(502\) −1.60503e19 1.60538e19i −0.0891673 0.0891868i
\(503\) −1.71643e19 −0.0939432 −0.0469716 0.998896i \(-0.514957\pi\)
−0.0469716 + 0.998896i \(0.514957\pi\)
\(504\) −1.24517e20 2.80691e20i −0.671429 1.51356i
\(505\) 8.61924e17 0.00457913
\(506\) 1.08910e19 + 1.08934e19i 0.0570084 + 0.0570209i
\(507\) 3.47027e19 1.86706e20i 0.178980 0.962938i
\(508\) 2.98798e20 + 6.55033e16i 1.51845 + 0.000332878i
\(509\) 3.17763e20i 1.59118i −0.605835 0.795590i \(-0.707161\pi\)
0.605835 0.795590i \(-0.292839\pi\)
\(510\) −2.77616e20 + 1.90546e20i −1.36983 + 0.940208i
\(511\) 2.66987e20i 1.29818i
\(512\) −1.47428e20 1.47719e20i −0.706409 0.707804i
\(513\) 1.02464e20 + 6.30065e19i 0.483828 + 0.297512i
\(514\) −1.59815e20 + 1.59780e20i −0.743696 + 0.743533i
\(515\) 1.04044e20 0.477161
\(516\) 2.11890e17 1.13861e18i 0.000957719 0.00514640i
\(517\) −8.00454e19 −0.356580
\(518\) 2.99828e20 2.99762e20i 1.31643 1.31614i
\(519\) 3.80611e20 + 7.07435e19i 1.64712 + 0.306148i
\(520\) 3.13724e19 + 3.13930e19i 0.133821 + 0.133909i
\(521\) 1.76873e19i 0.0743668i 0.999308 + 0.0371834i \(0.0118386\pi\)
−0.999308 + 0.0371834i \(0.988161\pi\)
\(522\) 3.20015e20 1.42046e20i 1.32630 0.588707i
\(523\) 1.26638e20i 0.517371i −0.965962 0.258685i \(-0.916711\pi\)
0.965962 0.258685i \(-0.0832893\pi\)
\(524\) −2.37194e16 + 1.08197e20i −9.55253e−5 + 0.435745i
\(525\) 3.04388e20 + 5.65760e19i 1.20846 + 0.224614i
\(526\) 3.03185e20 + 3.03252e20i 1.18663 + 1.18689i
\(527\) −2.80142e20 −1.08093
\(528\) 3.72580e19 1.99966e20i 0.141731 0.760680i
\(529\) −2.63740e20 −0.989141
\(530\) −3.16091e19 3.16160e19i −0.116881 0.116906i
\(531\) 1.82816e20 + 7.03912e19i 0.666508 + 0.256631i
\(532\) 5.73542e16 2.61625e20i 0.000206171 0.940463i
\(533\) 6.76848e19i 0.239904i
\(534\) −1.84703e19 2.69102e19i −0.0645525 0.0940496i
\(535\) 5.26478e19i 0.181437i
\(536\) 2.74461e20 + 2.74641e20i 0.932705 + 0.933319i
\(537\) 1.03240e20 5.55448e20i 0.345973 1.86139i
\(538\) 9.88731e19 9.88514e19i 0.326746 0.326675i
\(539\) −4.13519e20 −1.34766
\(540\) −2.15201e20 + 3.49798e20i −0.691658 + 1.12425i
\(541\) 2.51947e20 0.798602 0.399301 0.916820i \(-0.369253\pi\)
0.399301 + 0.916820i \(0.369253\pi\)
\(542\) 2.22702e19 2.22654e19i 0.0696194 0.0696042i
\(543\) −2.42494e18 + 1.30466e19i −0.00747657 + 0.0402251i
\(544\) −2.92845e20 + 2.92524e20i −0.890524 + 0.889549i
\(545\) 3.79700e18i 0.0113885i
\(546\) 4.54258e19 + 6.61830e19i 0.134387 + 0.195795i
\(547\) 2.00954e20i 0.586398i −0.956051 0.293199i \(-0.905280\pi\)
0.956051 0.293199i \(-0.0947198\pi\)
\(548\) −3.55320e20 7.78942e16i −1.02274 0.000224208i
\(549\) −2.81306e20 1.08313e20i −0.798704 0.307532i
\(550\) 1.45000e20 + 1.45032e20i 0.406115 + 0.406204i
\(551\) 2.98307e20 0.824188
\(552\) −2.16286e19 3.15266e19i −0.0589503 0.0859278i
\(553\) 7.27741e19 0.195676
\(554\) 8.35466e19 + 8.35649e19i 0.221618 + 0.221667i
\(555\) −5.57502e20 1.03622e20i −1.45898 0.271178i
\(556\) −3.13392e20 6.87027e16i −0.809146 0.000177383i
\(557\) 2.20951e20i 0.562837i 0.959585 + 0.281419i \(0.0908049\pi\)
−0.959585 + 0.281419i \(0.909195\pi\)
\(558\) −3.12307e20 + 1.38624e20i −0.784920 + 0.348404i
\(559\) 3.02761e17i 0.000750777i
\(560\) 8.93272e20 + 3.91651e17i 2.18561 + 0.000958273i
\(561\) −3.96626e20 7.37202e19i −0.957547 0.177978i
\(562\) 2.22849e20 2.22800e20i 0.530870 0.530753i
\(563\) −3.72267e20 −0.875068 −0.437534 0.899202i \(-0.644148\pi\)
−0.437534 + 0.899202i \(0.644148\pi\)
\(564\) 1.95319e20 + 3.63480e19i 0.453056 + 0.0843115i
\(565\) −3.10902e20 −0.711640
\(566\) −6.44121e19 + 6.43980e19i −0.145494 + 0.145462i
\(567\) −4.98169e20 + 5.51001e20i −1.11046 + 1.22823i
\(568\) 4.74738e20 4.74426e20i 1.04434 1.04365i
\(569\) 4.83794e20i 1.05031i 0.851006 + 0.525157i \(0.175993\pi\)
−0.851006 + 0.525157i \(0.824007\pi\)
\(570\) −2.88496e20 + 1.98014e20i −0.618128 + 0.424263i
\(571\) 5.28333e20i 1.11722i 0.829432 + 0.558608i \(0.188664\pi\)
−0.829432 + 0.558608i \(0.811336\pi\)
\(572\) −1.16569e16 + 5.31738e19i −2.43284e−5 + 0.110976i
\(573\) 1.15412e18 6.20936e18i 0.00237734 0.0127905i
\(574\) −9.63178e20 9.63389e20i −1.95825 1.95868i
\(575\) 3.85476e19 0.0773551
\(576\) −1.81717e20 + 4.71020e20i −0.359937 + 0.932977i
\(577\) −1.32135e20 −0.258345 −0.129172 0.991622i \(-0.541232\pi\)
−0.129172 + 0.991622i \(0.541232\pi\)
\(578\) 2.14070e20 + 2.14117e20i 0.413139 + 0.413230i
\(579\) 2.58677e19 1.39172e20i 0.0492797 0.265133i
\(580\) −2.23282e17 + 1.01852e21i −0.000419898 + 1.91539i
\(581\) 4.75522e20i 0.882775i
\(582\) 5.43005e20 3.72700e20i 0.995133 0.683026i
\(583\) 5.35631e19i 0.0969063i
\(584\) 3.10492e20 3.10287e20i 0.554566 0.554202i
\(585\) 3.85775e19 1.00191e20i 0.0680245 0.176669i
\(586\) 5.19463e20 5.19349e20i 0.904320 0.904122i
\(587\) 5.66505e20 0.973684 0.486842 0.873490i \(-0.338149\pi\)
0.486842 + 0.873490i \(0.338149\pi\)
\(588\) 1.00903e21 + 1.87775e20i 1.71228 + 0.318646i
\(589\) −2.91122e20 −0.487765
\(590\) −4.03007e20 + 4.02919e20i −0.666688 + 0.666542i
\(591\) 8.27779e20 + 1.53858e20i 1.35210 + 0.251312i
\(592\) −6.97061e20 3.05624e17i −1.12424 0.000492917i
\(593\) 8.41762e20i 1.34054i −0.742118 0.670269i \(-0.766179\pi\)
0.742118 0.670269i \(-0.233821\pi\)
\(594\) −4.78644e20 + 1.14080e20i −0.752687 + 0.179396i
\(595\) 1.77163e21i 2.75104i
\(596\) −1.27362e21 2.79206e17i −1.95296 0.000428132i
\(597\) 6.16569e20 + 1.14601e20i 0.933628 + 0.173532i
\(598\) 7.06644e18 + 7.06799e18i 0.0105668 + 0.0105691i
\(599\) 5.44591e19 0.0804210 0.0402105 0.999191i \(-0.487197\pi\)
0.0402105 + 0.999191i \(0.487197\pi\)
\(600\) −2.87959e20 4.19738e20i −0.419948 0.612130i
\(601\) 1.03672e21 1.49315 0.746577 0.665300i \(-0.231696\pi\)
0.746577 + 0.665300i \(0.231696\pi\)
\(602\) 4.30839e18 + 4.30934e18i 0.00612832 + 0.00612967i
\(603\) 3.37495e20 8.76522e20i 0.474119 1.23135i
\(604\) −3.00800e20 6.59423e16i −0.417351 9.14929e-5i
\(605\) 3.86525e20i 0.529678i
\(606\) −1.45043e18 2.11320e18i −0.00196315 0.00286020i
\(607\) 1.03494e21i 1.38357i 0.722103 + 0.691785i \(0.243175\pi\)
−0.722103 + 0.691785i \(0.756825\pi\)
\(608\) −3.04322e20 + 3.03989e20i −0.401843 + 0.401403i
\(609\) −3.36635e20 + 1.81115e21i −0.439066 + 2.36225i
\(610\) 6.20122e20 6.19986e20i 0.798920 0.798745i
\(611\) −5.19360e19 −0.0660936
\(612\) 9.34336e20 + 3.59990e20i 1.17454 + 0.452538i
\(613\) 8.49571e20 1.05498 0.527492 0.849560i \(-0.323132\pi\)
0.527492 + 0.849560i \(0.323132\pi\)
\(614\) −8.56175e19 + 8.55987e19i −0.105027 + 0.105004i
\(615\) −3.32952e20 + 1.79133e21i −0.403476 + 2.17076i
\(616\) 7.56515e20 + 7.57013e20i 0.905654 + 0.906250i
\(617\) 5.74819e20i 0.679818i 0.940458 + 0.339909i \(0.110396\pi\)
−0.940458 + 0.339909i \(0.889604\pi\)
\(618\) −1.75085e20 2.55089e20i −0.204566 0.298042i
\(619\) 1.58570e19i 0.0183038i −0.999958 0.00915189i \(-0.997087\pi\)
0.999958 0.00915189i \(-0.00291318\pi\)
\(620\) 2.17904e17 9.93985e20i 0.000248501 1.13355i
\(621\) −4.84448e19 + 7.87831e19i −0.0545834 + 0.0887659i
\(622\) 9.18230e20 + 9.18431e20i 1.02217 + 1.02239i
\(623\) 1.71730e20 0.188880
\(624\) 2.41742e19 1.29744e20i 0.0262705 0.140995i
\(625\) −1.10946e21 −1.19127
\(626\) −9.79782e20 9.79997e20i −1.03949 1.03972i
\(627\) −4.12171e20 7.66095e19i −0.432087 0.0803112i
\(628\) 7.87969e16 3.59437e20i 8.16228e−5 0.372328i
\(629\) 1.38249e21i 1.41508i
\(630\) −8.76667e20 1.97504e21i −0.886707 1.99766i
\(631\) 6.76245e20i 0.675903i −0.941164 0.337951i \(-0.890266\pi\)
0.941164 0.337951i \(-0.109734\pi\)
\(632\) −8.45767e19 8.46323e19i −0.0835358 0.0835907i
\(633\) 7.81977e20 + 1.45345e20i 0.763249 + 0.141864i
\(634\) −3.22226e20 + 3.22156e20i −0.310808 + 0.310739i
\(635\) 2.10265e21 2.00431
\(636\) −2.43226e19 + 1.30700e20i −0.0229130 + 0.123125i
\(637\) −2.68304e20 −0.249794
\(638\) −8.62963e20 + 8.62774e20i −0.794030 + 0.793856i
\(639\) −1.51514e21 5.83385e20i −1.37783 0.530517i
\(640\) −1.03769e21 1.03928e21i −0.932647 0.934079i
\(641\) 1.56301e21i 1.38843i −0.719765 0.694217i \(-0.755751\pi\)
0.719765 0.694217i \(-0.244249\pi\)
\(642\) −1.29078e20 + 8.85949e19i −0.113329 + 0.0777850i
\(643\) 4.68376e20i 0.406455i 0.979132 + 0.203228i \(0.0651431\pi\)
−0.979132 + 0.203228i \(0.934857\pi\)
\(644\) 2.01160e20 + 4.40988e16i 0.172543 + 3.78254e-5i
\(645\) 1.48933e18 8.01281e18i 0.00126268 0.00679340i
\(646\) 6.03168e20 + 6.03300e20i 0.505469 + 0.505580i
\(647\) 7.81258e20 0.647161 0.323580 0.946201i \(-0.395113\pi\)
0.323580 + 0.946201i \(0.395113\pi\)
\(648\) 1.21975e21 6.10197e19i 0.998751 0.0499640i
\(649\) −6.82766e20 −0.552633
\(650\) 9.40810e19 + 9.41016e19i 0.0752752 + 0.0752917i
\(651\) 3.28528e20 1.76753e21i 0.259845 1.39801i
\(652\) −1.71114e21 3.75122e17i −1.33792 0.000293302i
\(653\) 5.57953e20i 0.431269i 0.976474 + 0.215635i \(0.0691820\pi\)
−0.976474 + 0.215635i \(0.930818\pi\)
\(654\) −9.30921e18 + 6.38953e18i −0.00711344 + 0.00488243i
\(655\) 7.61391e20i 0.575173i
\(656\) −9.82012e17 + 2.23976e21i −0.000733395 + 1.67272i
\(657\) −9.90939e20 3.81549e20i −0.731655 0.281715i
\(658\) −7.39230e20 + 7.39068e20i −0.539617 + 0.539498i
\(659\) −1.68829e21 −1.21845 −0.609224 0.792999i \(-0.708519\pi\)
−0.609224 + 0.792999i \(0.708519\pi\)
\(660\) 2.61878e20 1.40723e21i 0.186862 1.00412i
\(661\) −4.74584e20 −0.334813 −0.167406 0.985888i \(-0.553539\pi\)
−0.167406 + 0.985888i \(0.553539\pi\)
\(662\) 1.45181e21 1.45149e21i 1.01269 1.01246i
\(663\) −2.57344e20 4.78321e19i −0.177485 0.0329889i
\(664\) −5.53007e20 + 5.52643e20i −0.377111 + 0.376864i
\(665\) 1.84107e21i 1.24139i
\(666\) 6.84103e20 + 1.54122e21i 0.456105 + 1.02756i
\(667\) 2.29364e20i 0.151210i
\(668\) −1.14293e17 + 5.21354e20i −7.45066e−5 + 0.339867i
\(669\) −7.05639e20 1.31156e20i −0.454869 0.0845457i
\(670\) 1.93182e21 + 1.93224e21i 1.23142 + 1.23169i
\(671\) 1.05060e21 0.662243
\(672\) −1.50223e21 2.19072e21i −0.936409 1.36558i
\(673\) 1.79144e21 1.10431 0.552154 0.833742i \(-0.313806\pi\)
0.552154 + 0.833742i \(0.313806\pi\)
\(674\) 1.39023e21 + 1.39054e21i 0.847497 + 0.847682i
\(675\) −6.44983e20 + 1.04890e21i −0.388839 + 0.632348i
\(676\) 3.60130e17 1.64276e21i 0.000214713 0.979430i
\(677\) 9.72443e20i 0.573388i −0.958022 0.286694i \(-0.907444\pi\)
0.958022 0.286694i \(-0.0925564\pi\)
\(678\) 5.23182e20 + 7.62248e20i 0.305091 + 0.444502i
\(679\) 3.46524e21i 1.99853i
\(680\) −2.06031e21 + 2.05896e21i −1.17521 + 1.17444i
\(681\) −1.99792e20 + 1.07491e21i −0.112713 + 0.606415i
\(682\) 8.42178e20 8.41994e20i 0.469917 0.469814i
\(683\) −1.76728e21 −0.975327 −0.487664 0.873032i \(-0.662151\pi\)
−0.487664 + 0.873032i \(0.662151\pi\)
\(684\) 9.70955e20 + 3.74099e20i 0.530003 + 0.204205i
\(685\) −2.50040e21 −1.34999
\(686\) −1.62624e21 + 1.62588e21i −0.868468 + 0.868277i
\(687\) 4.35567e20 2.34342e21i 0.230080 1.23787i
\(688\) 4.39264e15 1.00187e19i 2.29516e−6 0.00523475i
\(689\) 3.47535e19i 0.0179620i
\(690\) −1.52250e20 2.21821e20i −0.0778378 0.113405i
\(691\) 2.77934e21i 1.40558i −0.711395 0.702792i \(-0.751936\pi\)
0.711395 0.702792i \(-0.248064\pi\)
\(692\) 3.34886e21 + 7.34147e17i 1.67533 + 0.000367272i
\(693\) 9.30260e20 2.41602e21i 0.460368 1.19564i
\(694\) −1.52757e21 1.52790e21i −0.747831 0.747995i
\(695\) −2.20536e21 −1.06805
\(696\) 2.49750e21 1.71340e21i 1.19657 0.820897i
\(697\) 4.44213e21 2.10545
\(698\) 7.96782e20 + 7.96957e20i 0.373615 + 0.373697i
\(699\) −7.21793e20 1.34158e20i −0.334838 0.0622357i
\(700\) 2.67820e21 + 5.87122e17i 1.22916 + 0.000269459i
\(701\) 9.06379e19i 0.0411552i −0.999788 0.0205776i \(-0.993449\pi\)
0.999788 0.0205776i \(-0.00655052\pi\)
\(702\) −3.10560e20 + 7.40190e19i −0.139514 + 0.0332518i
\(703\) 1.43667e21i 0.638546i
\(704\) 1.15722e18 1.75957e21i 0.000508885 0.773771i
\(705\) 1.37453e21 + 2.55481e20i 0.598047 + 0.111158i
\(706\) −1.45875e21 + 1.45843e21i −0.627981 + 0.627844i
\(707\) 1.34856e19 0.00574415
\(708\) 1.66602e21 + 3.10039e20i 0.702153 + 0.130667i
\(709\) −1.26617e21 −0.528016 −0.264008 0.964521i \(-0.585044\pi\)
−0.264008 + 0.964521i \(0.585044\pi\)
\(710\) 3.34003e21 3.33930e21i 1.37820 1.37790i
\(711\) −1.04001e20 + 2.70105e20i −0.0424635 + 0.110284i
\(712\) −1.99581e20 1.99713e20i −0.0806344 0.0806874i
\(713\) 2.23840e20i 0.0894882i
\(714\) −4.34357e21 + 2.98128e21i −1.71834 + 1.17941i
\(715\) 3.74187e20i 0.146485i
\(716\) 1.07138e18 4.88719e21i 0.000415047 1.89327i
\(717\) −2.31810e20 + 1.24718e21i −0.0888667 + 0.478117i
\(718\) 1.42523e21 + 1.42554e21i 0.540695 + 0.540813i
\(719\) 1.96057e21 0.736065 0.368033 0.929813i \(-0.380032\pi\)
0.368033 + 0.929813i \(0.380032\pi\)
\(720\) −1.27802e21 + 3.31487e21i −0.474837 + 1.23161i
\(721\) 1.62788e21 0.598559
\(722\) −1.31616e21 1.31645e21i −0.478940 0.479045i
\(723\) −7.14332e20 + 3.84322e21i −0.257254 + 1.38407i
\(724\) −2.51650e16 + 1.14792e20i −8.96929e−6 + 0.0409140i
\(725\) 3.05370e21i 1.07719i
\(726\) −9.47654e20 + 6.50438e20i −0.330846 + 0.227081i
\(727\) 3.72985e21i 1.28879i −0.764691 0.644397i \(-0.777108\pi\)
0.764691 0.644397i \(-0.222892\pi\)
\(728\) 4.90852e20 + 4.91175e20i 0.167867 + 0.167977i
\(729\) −1.33314e21 2.63642e21i −0.451254 0.892396i
\(730\) 2.18447e21 2.18399e21i 0.731853 0.731693i
\(731\) −1.98701e19 −0.00658900
\(732\) −2.56357e21 4.77068e20i −0.841418 0.156584i
\(733\) −1.50329e21 −0.488386 −0.244193 0.969727i \(-0.578523\pi\)
−0.244193 + 0.969727i \(0.578523\pi\)
\(734\) −4.09779e21 + 4.09689e21i −1.31774 + 1.31745i
\(735\) 7.10089e21 + 1.31983e21i 2.26026 + 0.420110i
\(736\) −2.33733e20 2.33989e20i −0.0736438 0.0737246i
\(737\) 3.27356e21i 1.02097i
\(738\) 4.95215e21 2.19812e21i 1.52887 0.678623i
\(739\) 4.42592e21i 1.35260i −0.736625 0.676302i \(-0.763582\pi\)
0.736625 0.676302i \(-0.236418\pi\)
\(740\) −4.90526e21 1.07534e18i −1.48397 0.000325319i
\(741\) −2.67430e20 4.97068e19i −0.0800892 0.0148860i
\(742\) −4.94555e20 4.94663e20i −0.146617 0.146649i
\(743\) −1.12113e21 −0.329034 −0.164517 0.986374i \(-0.552607\pi\)
−0.164517 + 0.986374i \(0.552607\pi\)
\(744\) −2.43735e21 + 1.67213e21i −0.708143 + 0.485817i
\(745\) −8.96252e21 −2.57785
\(746\) −3.41269e21 3.41344e21i −0.971753 0.971966i
\(747\) 1.76493e21 + 6.79566e20i 0.497534 + 0.191570i
\(748\) −3.48977e21 7.65038e17i −0.973947 0.000213511i
\(749\) 8.23725e20i 0.227598i
\(750\) 7.03586e20 + 1.02509e21i 0.192468 + 0.280415i
\(751\) 1.43822e21i 0.389517i 0.980851 + 0.194759i \(0.0623923\pi\)
−0.980851 + 0.194759i \(0.937608\pi\)
\(752\) 1.71862e21 + 7.53519e17i 0.460834 + 0.000202051i
\(753\) −8.68081e19 + 4.67041e20i −0.0230461 + 0.123992i
\(754\) −5.59918e20 + 5.59796e20i −0.147177 + 0.147145i
\(755\) −2.11675e21 −0.550893
\(756\) −3.36703e21 + 5.47292e21i −0.867628 + 1.41028i
\(757\) 2.33466e21 0.595669 0.297835 0.954617i \(-0.403736\pi\)
0.297835 + 0.954617i \(0.403736\pi\)
\(758\) 4.77047e21 4.76942e21i 1.20515 1.20489i
\(759\) 5.89040e19 3.16913e20i 0.0147344 0.0792732i
\(760\) −2.14106e21 + 2.13966e21i −0.530307 + 0.529959i
\(761\) 3.80463e21i 0.933100i 0.884495 + 0.466550i \(0.154503\pi\)
−0.884495 + 0.466550i \(0.845497\pi\)
\(762\) −3.53832e21 5.15514e21i −0.859280 1.25192i
\(763\) 5.94077e19i 0.0142859i
\(764\) 1.19770e16 5.46339e19i 2.85199e−6