Properties

Label 12.16.b.a.11.6
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 11.6
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-166.441 + 71.1726i) q^{2} +(-8.61090 + 3787.99i) q^{3} +(22636.9 - 23692.0i) q^{4} +99785.5i q^{5} +(-268168. - 631087. i) q^{6} -1.78364e6i q^{7} +(-2.08148e6 + 5.55444e6i) q^{8} +(-1.43488e7 - 65235.9i) q^{9} +O(q^{10})\) \(q+(-166.441 + 71.1726i) q^{2} +(-8.61090 + 3787.99i) q^{3} +(22636.9 - 23692.0i) q^{4} +99785.5i q^{5} +(-268168. - 631087. i) q^{6} -1.78364e6i q^{7} +(-2.08148e6 + 5.55444e6i) q^{8} +(-1.43488e7 - 65235.9i) q^{9} +(-7.10200e6 - 1.66083e7i) q^{10} -1.16077e8 q^{11} +(8.95501e7 + 8.59523e7i) q^{12} +2.21330e8 q^{13} +(1.26946e8 + 2.96870e8i) q^{14} +(-3.77986e8 - 859243. i) q^{15} +(-4.88824e7 - 1.07263e9i) q^{16} -1.04886e9i q^{17} +(2.39286e9 - 1.01038e9i) q^{18} -4.40175e9i q^{19} +(2.36412e9 + 2.25883e9i) q^{20} +(6.75641e9 + 1.53588e7i) q^{21} +(1.93199e10 - 8.26149e9i) q^{22} +1.18058e10 q^{23} +(-2.10222e10 - 7.93243e9i) q^{24} +2.05604e10 q^{25} +(-3.68382e10 + 1.57526e10i) q^{26} +(3.70668e8 - 5.43523e10i) q^{27} +(-4.22581e10 - 4.03761e10i) q^{28} +3.11714e10i q^{29} +(6.29733e10 - 2.67592e10i) q^{30} +8.47798e10i q^{31} +(8.44778e10 + 1.75050e11i) q^{32} +(9.99525e8 - 4.39697e11i) q^{33} +(7.46502e10 + 1.74573e11i) q^{34} +1.77981e11 q^{35} +(-3.26357e11 + 3.38474e11i) q^{36} -5.63984e11 q^{37} +(3.13284e11 + 7.32629e11i) q^{38} +(-1.90585e9 + 8.38393e11i) q^{39} +(-5.54253e11 - 2.07701e11i) q^{40} -1.67904e12i q^{41} +(-1.12563e12 + 4.78315e11i) q^{42} -6.70438e11i q^{43} +(-2.62762e12 + 2.75009e12i) q^{44} +(6.50960e9 - 1.43180e12i) q^{45} +(-1.96497e12 + 8.40251e11i) q^{46} +4.09939e12 q^{47} +(4.06352e12 - 1.75929e11i) q^{48} +1.56619e12 q^{49} +(-3.42209e12 + 1.46334e12i) q^{50} +(3.97307e12 + 9.03163e9i) q^{51} +(5.01022e12 - 5.24375e12i) q^{52} -1.54771e13i q^{53} +(3.80670e12 + 9.07281e12i) q^{54} -1.15828e13i q^{55} +(9.90713e12 + 3.71261e12i) q^{56} +(1.66738e13 + 3.79030e10i) q^{57} +(-2.21855e12 - 5.18818e12i) q^{58} -1.68098e13 q^{59} +(-8.57679e12 + 8.93580e12i) q^{60} -2.24017e13 q^{61} +(-6.03400e12 - 1.41108e13i) q^{62} +(-1.16357e11 + 2.55930e13i) q^{63} +(-2.65193e13 - 2.31229e13i) q^{64} +2.20855e13i q^{65} +(3.11280e13 + 7.32545e13i) q^{66} +8.16964e11i q^{67} +(-2.48496e13 - 2.37430e13i) q^{68} +(-1.01659e11 + 4.47202e13i) q^{69} +(-2.96233e13 + 1.26674e13i) q^{70} +2.78819e13 q^{71} +(3.02289e13 - 7.95636e13i) q^{72} -9.23076e13 q^{73} +(9.38699e13 - 4.01403e13i) q^{74} +(-1.77044e11 + 7.78826e13i) q^{75} +(-1.04286e14 - 9.96420e13i) q^{76} +2.07039e14i q^{77} +(-5.93534e13 - 1.39678e14i) q^{78} -1.17224e14i q^{79} +(1.07033e14 - 4.87775e12i) q^{80} +(2.05883e14 + 1.87211e12i) q^{81} +(1.19501e14 + 2.79460e14i) q^{82} -3.73681e14 q^{83} +(1.53308e14 - 1.59725e14i) q^{84} +1.04661e14 q^{85} +(4.77169e13 + 1.11588e14i) q^{86} +(-1.18077e14 - 2.68414e11i) q^{87} +(2.41611e14 - 6.44741e14i) q^{88} +9.06108e13i q^{89} +(1.00821e14 + 2.38772e14i) q^{90} -3.94772e14i q^{91} +(2.67247e14 - 2.79704e14i) q^{92} +(-3.21145e14 - 7.30030e11i) q^{93} +(-6.82305e14 + 2.91765e14i) q^{94} +4.39230e14 q^{95} +(-6.63813e14 + 3.18493e14i) q^{96} +2.89927e14 q^{97} +(-2.60677e14 + 1.11470e14i) q^{98} +(1.66556e15 + 7.57237e12i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −166.441 + 71.1726i −0.919463 + 0.393177i
\(3\) −8.61090 + 3787.99i −0.00227321 + 0.999997i
\(4\) 22636.9 23692.0i 0.690824 0.723023i
\(5\) 99785.5i 0.571205i 0.958348 + 0.285603i \(0.0921938\pi\)
−0.958348 + 0.285603i \(0.907806\pi\)
\(6\) −268168. 631087.i −0.391086 0.920354i
\(7\) 1.78364e6i 0.818601i −0.912400 0.409300i \(-0.865773\pi\)
0.912400 0.409300i \(-0.134227\pi\)
\(8\) −2.08148e6 + 5.55444e6i −0.350911 + 0.936409i
\(9\) −1.43488e7 65235.9i −0.999990 0.00454640i
\(10\) −7.10200e6 1.66083e7i −0.224585 0.525202i
\(11\) −1.16077e8 −1.79597 −0.897987 0.440022i \(-0.854971\pi\)
−0.897987 + 0.440022i \(0.854971\pi\)
\(12\) 8.95501e7 + 8.59523e7i 0.721451 + 0.692465i
\(13\) 2.21330e8 0.978282 0.489141 0.872205i \(-0.337310\pi\)
0.489141 + 0.872205i \(0.337310\pi\)
\(14\) 1.26946e8 + 2.96870e8i 0.321855 + 0.752673i
\(15\) −3.77986e8 859243.i −0.571204 0.00129847i
\(16\) −4.88824e7 1.07263e9i −0.0455253 0.998963i
\(17\) 1.04886e9i 0.619941i −0.950746 0.309971i \(-0.899681\pi\)
0.950746 0.309971i \(-0.100319\pi\)
\(18\) 2.39286e9 1.01038e9i 0.921241 0.388993i
\(19\) 4.40175e9i 1.12973i −0.825185 0.564863i \(-0.808929\pi\)
0.825185 0.564863i \(-0.191071\pi\)
\(20\) 2.36412e9 + 2.25883e9i 0.412995 + 0.394602i
\(21\) 6.75641e9 + 1.53588e7i 0.818599 + 0.00186085i
\(22\) 1.93199e10 8.26149e9i 1.65133 0.706136i
\(23\) 1.18058e10 0.722998 0.361499 0.932373i \(-0.382265\pi\)
0.361499 + 0.932373i \(0.382265\pi\)
\(24\) −2.10222e10 7.93243e9i −0.935609 0.353038i
\(25\) 2.05604e10 0.673724
\(26\) −3.68382e10 + 1.57526e10i −0.899494 + 0.384638i
\(27\) 3.70668e8 5.43523e10i 0.00681958 0.999977i
\(28\) −4.22581e10 4.03761e10i −0.591867 0.565509i
\(29\) 3.11714e10i 0.335561i 0.985824 + 0.167780i \(0.0536599\pi\)
−0.985824 + 0.167780i \(0.946340\pi\)
\(30\) 6.29733e10 2.67592e10i 0.525711 0.223390i
\(31\) 8.47798e10i 0.553452i 0.960949 + 0.276726i \(0.0892494\pi\)
−0.960949 + 0.276726i \(0.910751\pi\)
\(32\) 8.44778e10 + 1.75050e11i 0.434628 + 0.900610i
\(33\) 9.99525e8 4.39697e11i 0.00408262 1.79597i
\(34\) 7.46502e10 + 1.74573e11i 0.243747 + 0.570013i
\(35\) 1.77981e11 0.467589
\(36\) −3.26357e11 + 3.38474e11i −0.694104 + 0.719875i
\(37\) −5.63984e11 −0.976684 −0.488342 0.872652i \(-0.662398\pi\)
−0.488342 + 0.872652i \(0.662398\pi\)
\(38\) 3.13284e11 + 7.32629e11i 0.444182 + 1.03874i
\(39\) −1.90585e9 + 8.38393e11i −0.00222384 + 0.978280i
\(40\) −5.54253e11 2.07701e11i −0.534882 0.200442i
\(41\) 1.67904e12i 1.34642i −0.739450 0.673211i \(-0.764915\pi\)
0.739450 0.673211i \(-0.235085\pi\)
\(42\) −1.12563e12 + 4.78315e11i −0.753403 + 0.320143i
\(43\) 6.70438e11i 0.376136i −0.982156 0.188068i \(-0.939777\pi\)
0.982156 0.188068i \(-0.0602226\pi\)
\(44\) −2.62762e12 + 2.75009e12i −1.24070 + 1.29853i
\(45\) 6.50960e9 1.43180e12i 0.00259693 0.571199i
\(46\) −1.96497e12 + 8.40251e11i −0.664770 + 0.284266i
\(47\) 4.09939e12 1.18028 0.590141 0.807300i \(-0.299072\pi\)
0.590141 + 0.807300i \(0.299072\pi\)
\(48\) 4.06352e12 1.75929e11i 0.999064 0.0432543i
\(49\) 1.56619e12 0.329893
\(50\) −3.42209e12 + 1.46334e12i −0.619465 + 0.264893i
\(51\) 3.97307e12 + 9.03163e9i 0.619940 + 0.00140926i
\(52\) 5.01022e12 5.24375e12i 0.675821 0.707321i
\(53\) 1.54771e13i 1.80975i −0.425673 0.904877i \(-0.639963\pi\)
0.425673 0.904877i \(-0.360037\pi\)
\(54\) 3.80670e12 + 9.07281e12i 0.386898 + 0.922123i
\(55\) 1.15828e13i 1.02587i
\(56\) 9.90713e12 + 3.71261e12i 0.766545 + 0.287256i
\(57\) 1.66738e13 + 3.79030e10i 1.12972 + 0.00256810i
\(58\) −2.21855e12 5.18818e12i −0.131935 0.308536i
\(59\) −1.68098e13 −0.879372 −0.439686 0.898152i \(-0.644910\pi\)
−0.439686 + 0.898152i \(0.644910\pi\)
\(60\) −8.57679e12 + 8.93580e12i −0.395540 + 0.412097i
\(61\) −2.24017e13 −0.912656 −0.456328 0.889812i \(-0.650836\pi\)
−0.456328 + 0.889812i \(0.650836\pi\)
\(62\) −6.03400e12 1.41108e13i −0.217605 0.508878i
\(63\) −1.16357e11 + 2.55930e13i −0.00372169 + 0.818592i
\(64\) −2.65193e13 2.31229e13i −0.753724 0.657192i
\(65\) 2.20855e13i 0.558800i
\(66\) 3.11280e13 + 7.32545e13i 0.702380 + 1.65293i
\(67\) 8.16964e11i 0.0164680i 0.999966 + 0.00823402i \(0.00262100\pi\)
−0.999966 + 0.00823402i \(0.997379\pi\)
\(68\) −2.48496e13 2.37430e13i −0.448232 0.428270i
\(69\) −1.01659e11 + 4.47202e13i −0.00164352 + 0.722996i
\(70\) −2.96233e13 + 1.26674e13i −0.429931 + 0.183845i
\(71\) 2.78819e13 0.363818 0.181909 0.983315i \(-0.441772\pi\)
0.181909 + 0.983315i \(0.441772\pi\)
\(72\) 3.02289e13 7.95636e13i 0.355164 0.934804i
\(73\) −9.23076e13 −0.977949 −0.488974 0.872298i \(-0.662629\pi\)
−0.488974 + 0.872298i \(0.662629\pi\)
\(74\) 9.38699e13 4.01403e13i 0.898025 0.384010i
\(75\) −1.77044e11 + 7.78826e13i −0.00153152 + 0.673723i
\(76\) −1.04286e14 9.96420e13i −0.816818 0.780441i
\(77\) 2.07039e14i 1.47019i
\(78\) −5.93534e13 1.39678e14i −0.382592 0.900366i
\(79\) 1.17224e14i 0.686771i −0.939195 0.343385i \(-0.888426\pi\)
0.939195 0.343385i \(-0.111574\pi\)
\(80\) 1.07033e14 4.87775e12i 0.570613 0.0260043i
\(81\) 2.05883e14 + 1.87211e12i 0.999959 + 0.00909271i
\(82\) 1.19501e14 + 2.79460e14i 0.529382 + 1.23799i
\(83\) −3.73681e14 −1.51153 −0.755763 0.654845i \(-0.772734\pi\)
−0.755763 + 0.654845i \(0.772734\pi\)
\(84\) 1.53308e14 1.59725e14i 0.566853 0.590580i
\(85\) 1.04661e14 0.354114
\(86\) 4.77169e13 + 1.11588e14i 0.147888 + 0.345843i
\(87\) −1.18077e14 2.68414e11i −0.335560 0.000762799i
\(88\) 2.41611e14 6.44741e14i 0.630226 1.68177i
\(89\) 9.06108e13i 0.217148i 0.994088 + 0.108574i \(0.0346284\pi\)
−0.994088 + 0.108574i \(0.965372\pi\)
\(90\) 1.00821e14 + 2.38772e14i 0.222195 + 0.526218i
\(91\) 3.94772e14i 0.800823i
\(92\) 2.67247e14 2.79704e14i 0.499464 0.522744i
\(93\) −3.21145e14 7.30030e11i −0.553450 0.00125811i
\(94\) −6.82305e14 + 2.91765e14i −1.08523 + 0.464060i
\(95\) 4.39230e14 0.645306
\(96\) −6.63813e14 + 3.18493e14i −0.901596 + 0.432580i
\(97\) 2.89927e14 0.364335 0.182168 0.983268i \(-0.441689\pi\)
0.182168 + 0.983268i \(0.441689\pi\)
\(98\) −2.60677e14 + 1.11470e14i −0.303324 + 0.129706i
\(99\) 1.66556e15 + 7.57237e12i 1.79596 + 0.00816522i
\(100\) 4.65425e14 4.87118e14i 0.465425 0.487118i
\(101\) 1.96367e15i 1.82246i −0.411893 0.911232i \(-0.635132\pi\)
0.411893 0.911232i \(-0.364868\pi\)
\(102\) −6.61922e14 + 2.81270e14i −0.570566 + 0.242450i
\(103\) 1.91240e15i 1.53215i 0.642753 + 0.766073i \(0.277792\pi\)
−0.642753 + 0.766073i \(0.722208\pi\)
\(104\) −4.60692e14 + 1.22936e15i −0.343290 + 0.916072i
\(105\) −1.53258e12 + 6.74191e14i −0.00106293 + 0.467588i
\(106\) 1.10154e15 + 2.57601e15i 0.711554 + 1.66400i
\(107\) −1.69921e15 −1.02298 −0.511491 0.859289i \(-0.670907\pi\)
−0.511491 + 0.859289i \(0.670907\pi\)
\(108\) −1.27933e15 1.23915e15i −0.718295 0.695738i
\(109\) −1.76001e15 −0.922183 −0.461092 0.887353i \(-0.652542\pi\)
−0.461092 + 0.887353i \(0.652542\pi\)
\(110\) 8.24376e14 + 1.92784e15i 0.403348 + 0.943249i
\(111\) 4.85641e12 2.13636e15i 0.00222021 0.976682i
\(112\) −1.91318e15 + 8.71886e13i −0.817752 + 0.0372670i
\(113\) 3.83858e15i 1.53491i −0.641104 0.767454i \(-0.721523\pi\)
0.641104 0.767454i \(-0.278477\pi\)
\(114\) −2.77789e15 + 1.18041e15i −1.03975 + 0.441820i
\(115\) 1.17805e15i 0.412980i
\(116\) 7.38513e14 + 7.05624e14i 0.242618 + 0.231813i
\(117\) −3.17580e15 1.44386e13i −0.978272 0.00444767i
\(118\) 2.79783e15 1.19640e15i 0.808550 0.345749i
\(119\) −1.87079e15 −0.507485
\(120\) 7.91541e14 2.09771e15i 0.201657 0.534425i
\(121\) 9.29656e15 2.22552
\(122\) 3.72855e15 1.59439e15i 0.839153 0.358835i
\(123\) 6.36017e15 + 1.44580e13i 1.34642 + 0.00306070i
\(124\) 2.00861e15 + 1.91915e15i 0.400159 + 0.382338i
\(125\) 5.09684e15i 0.956040i
\(126\) −1.80216e15 4.26800e15i −0.318430 0.754128i
\(127\) 4.45682e15i 0.742159i −0.928601 0.371080i \(-0.878988\pi\)
0.928601 0.371080i \(-0.121012\pi\)
\(128\) 6.05960e15 + 1.96114e15i 0.951413 + 0.307916i
\(129\) 2.53961e15 + 5.77308e12i 0.376135 + 0.000855036i
\(130\) −1.57188e15 3.67592e15i −0.219707 0.513796i
\(131\) −6.21982e15 −0.820811 −0.410405 0.911903i \(-0.634613\pi\)
−0.410405 + 0.911903i \(0.634613\pi\)
\(132\) −1.03947e16 9.97706e15i −1.29571 1.24365i
\(133\) −7.85114e15 −0.924795
\(134\) −5.81455e13 1.35976e14i −0.00647486 0.0151418i
\(135\) 5.42357e15 + 3.69873e13i 0.571192 + 0.00389538i
\(136\) 5.82583e15 + 2.18318e15i 0.580519 + 0.217544i
\(137\) 1.21702e16i 1.14787i 0.818901 + 0.573935i \(0.194584\pi\)
−0.818901 + 0.573935i \(0.805416\pi\)
\(138\) −3.16594e15 7.45050e15i −0.282754 0.665414i
\(139\) 1.15957e15i 0.0981042i 0.998796 + 0.0490521i \(0.0156200\pi\)
−0.998796 + 0.0490521i \(0.984380\pi\)
\(140\) 4.02895e15 4.21674e15i 0.323022 0.338078i
\(141\) −3.52995e13 + 1.55284e16i −0.00268303 + 1.18028i
\(142\) −4.64068e15 + 1.98443e15i −0.334517 + 0.143045i
\(143\) −2.56912e16 −1.75697
\(144\) 6.31428e14 + 1.53941e16i 0.0409831 + 0.999160i
\(145\) −3.11045e15 −0.191674
\(146\) 1.53637e16 6.56978e15i 0.899187 0.384507i
\(147\) −1.34863e13 + 5.93269e15i −0.000749915 + 0.329892i
\(148\) −1.27669e16 + 1.33619e16i −0.674717 + 0.706165i
\(149\) 2.35030e16i 1.18093i −0.807062 0.590467i \(-0.798943\pi\)
0.807062 0.590467i \(-0.201057\pi\)
\(150\) −5.51365e15 1.29754e16i −0.263484 0.620065i
\(151\) 2.24244e16i 1.01951i 0.860318 + 0.509757i \(0.170265\pi\)
−0.860318 + 0.509757i \(0.829735\pi\)
\(152\) 2.44493e16 + 9.16213e15i 1.05789 + 0.396433i
\(153\) −6.84234e13 + 1.50498e16i −0.00281850 + 0.619935i
\(154\) −1.47355e16 3.44597e16i −0.578043 1.35178i
\(155\) −8.45979e15 −0.316135
\(156\) 1.98201e16 + 1.90238e16i 0.705783 + 0.677427i
\(157\) −2.04076e16 −0.692699 −0.346349 0.938106i \(-0.612579\pi\)
−0.346349 + 0.938106i \(0.612579\pi\)
\(158\) 8.34311e15 + 1.95108e16i 0.270023 + 0.631460i
\(159\) 5.86269e16 + 1.33271e14i 1.80975 + 0.00411395i
\(160\) −1.74674e16 + 8.42966e15i −0.514433 + 0.248262i
\(161\) 2.10573e16i 0.591847i
\(162\) −3.44005e16 + 1.43416e16i −0.923000 + 0.384800i
\(163\) 6.89132e16i 1.76561i −0.469737 0.882806i \(-0.655651\pi\)
0.469737 0.882806i \(-0.344349\pi\)
\(164\) −3.97798e16 3.80082e16i −0.973495 0.930140i
\(165\) 4.38754e16 + 9.97381e13i 1.02587 + 0.00233202i
\(166\) 6.21957e16 2.65959e16i 1.38979 0.594297i
\(167\) −1.03995e16 −0.222146 −0.111073 0.993812i \(-0.535429\pi\)
−0.111073 + 0.993812i \(0.535429\pi\)
\(168\) −1.41486e16 + 3.74961e16i −0.288997 + 0.765890i
\(169\) −2.19912e15 −0.0429634
\(170\) −1.74198e16 + 7.44900e15i −0.325595 + 0.139229i
\(171\) −2.87152e14 + 6.31596e16i −0.00513619 + 1.12971i
\(172\) −1.58840e16 1.51766e16i −0.271955 0.259844i
\(173\) 4.08150e16i 0.669074i −0.942383 0.334537i \(-0.891420\pi\)
0.942383 0.334537i \(-0.108580\pi\)
\(174\) 1.96719e16 8.35916e15i 0.308835 0.131233i
\(175\) 3.66724e16i 0.551511i
\(176\) 5.67411e15 + 1.24507e17i 0.0817622 + 1.79411i
\(177\) 1.44747e14 6.36753e16i 0.00199899 0.879369i
\(178\) −6.44901e15 1.50813e16i −0.0853775 0.199659i
\(179\) 2.38326e16 0.302533 0.151267 0.988493i \(-0.451665\pi\)
0.151267 + 0.988493i \(0.451665\pi\)
\(180\) −3.37748e16 3.25657e16i −0.411196 0.396476i
\(181\) 7.87724e16 0.919994 0.459997 0.887920i \(-0.347850\pi\)
0.459997 + 0.887920i \(0.347850\pi\)
\(182\) 2.80970e16 + 6.57061e16i 0.314865 + 0.736327i
\(183\) 1.92899e14 8.48573e16i 0.00207466 0.912654i
\(184\) −2.45735e16 + 6.55747e16i −0.253708 + 0.677022i
\(185\) 5.62775e16i 0.557887i
\(186\) 5.35035e16 2.27352e16i 0.509372 0.216447i
\(187\) 1.21748e17i 1.11340i
\(188\) 9.27976e16 9.71230e16i 0.815367 0.853371i
\(189\) −9.69450e16 6.61139e14i −0.818582 0.00558251i
\(190\) −7.31058e16 + 3.12612e16i −0.593334 + 0.253719i
\(191\) 2.98795e16 0.233143 0.116572 0.993182i \(-0.462810\pi\)
0.116572 + 0.993182i \(0.462810\pi\)
\(192\) 8.78175e16 1.00256e17i 0.658903 0.752228i
\(193\) −1.60864e17 −1.16086 −0.580429 0.814311i \(-0.697115\pi\)
−0.580429 + 0.814311i \(0.697115\pi\)
\(194\) −4.82556e16 + 2.06349e16i −0.334993 + 0.143248i
\(195\) −8.36595e16 1.90176e14i −0.558799 0.00127027i
\(196\) 3.54536e16 3.71061e16i 0.227898 0.238520i
\(197\) 1.33400e17i 0.825390i 0.910869 + 0.412695i \(0.135412\pi\)
−0.910869 + 0.412695i \(0.864588\pi\)
\(198\) −2.77755e17 + 1.17282e17i −1.65452 + 0.698621i
\(199\) 9.47915e16i 0.543715i 0.962337 + 0.271858i \(0.0876380\pi\)
−0.962337 + 0.271858i \(0.912362\pi\)
\(200\) −4.27961e16 + 1.14202e17i −0.236417 + 0.630882i
\(201\) −3.09465e15 7.03480e12i −0.0164680 3.74353e-5i
\(202\) 1.39760e17 + 3.26835e17i 0.716551 + 1.67569i
\(203\) 5.55986e16 0.274690
\(204\) 9.01519e16 9.39256e16i 0.429288 0.447257i
\(205\) 1.67543e17 0.769084
\(206\) −1.36111e17 3.18301e17i −0.602405 1.40875i
\(207\) −1.69399e17 7.70163e14i −0.722991 0.00328704i
\(208\) −1.08191e16 2.37404e17i −0.0445366 0.977268i
\(209\) 5.10940e17i 2.02896i
\(210\) −4.77289e16 1.12322e17i −0.182868 0.430348i
\(211\) 2.00609e16i 0.0741708i 0.999312 + 0.0370854i \(0.0118074\pi\)
−0.999312 + 0.0370854i \(0.988193\pi\)
\(212\) −3.66683e17 3.50353e17i −1.30849 1.25022i
\(213\) −2.40088e14 + 1.05616e17i −0.000827035 + 0.363817i
\(214\) 2.82817e17 1.20937e17i 0.940594 0.402213i
\(215\) 6.69000e16 0.214851
\(216\) 3.01125e17 + 1.15192e17i 0.933994 + 0.357288i
\(217\) 1.51217e17 0.453056
\(218\) 2.92938e17 1.25265e17i 0.847913 0.362581i
\(219\) 7.94852e14 3.49660e17i 0.00222308 0.977946i
\(220\) −2.74419e17 2.62198e17i −0.741728 0.708695i
\(221\) 2.32144e17i 0.606478i
\(222\) 1.51242e17 + 3.55923e17i 0.381967 + 0.898895i
\(223\) 1.85492e17i 0.452937i −0.974018 0.226469i \(-0.927282\pi\)
0.974018 0.226469i \(-0.0727181\pi\)
\(224\) 3.12226e17 1.50678e17i 0.737240 0.355787i
\(225\) −2.95017e17 1.34128e15i −0.673717 0.00306302i
\(226\) 2.73202e17 + 6.38895e17i 0.603491 + 1.41129i
\(227\) 5.39829e16 0.115362 0.0576810 0.998335i \(-0.481629\pi\)
0.0576810 + 0.998335i \(0.481629\pi\)
\(228\) 3.78340e17 3.94177e17i 0.782296 0.815042i
\(229\) 3.99154e17 0.798682 0.399341 0.916802i \(-0.369239\pi\)
0.399341 + 0.916802i \(0.369239\pi\)
\(230\) −8.38448e16 1.96075e17i −0.162374 0.379720i
\(231\) −7.84261e17 1.78279e15i −1.47018 0.00334204i
\(232\) −1.73140e17 6.48825e16i −0.314222 0.117752i
\(233\) 1.94255e17i 0.341353i −0.985327 0.170676i \(-0.945405\pi\)
0.985327 0.170676i \(-0.0545953\pi\)
\(234\) 5.29610e17 2.23627e17i 0.901234 0.380545i
\(235\) 4.09060e17i 0.674183i
\(236\) −3.80522e17 + 3.98258e17i −0.607491 + 0.635806i
\(237\) 4.44041e17 + 1.00940e15i 0.686769 + 0.00156117i
\(238\) 3.11375e17 1.33149e17i 0.466613 0.199531i
\(239\) 8.09646e17 1.17574 0.587870 0.808956i \(-0.299967\pi\)
0.587870 + 0.808956i \(0.299967\pi\)
\(240\) 1.75552e16 + 4.05480e17i 0.0247071 + 0.570671i
\(241\) −6.93186e17 −0.945632 −0.472816 0.881161i \(-0.656762\pi\)
−0.472816 + 0.881161i \(0.656762\pi\)
\(242\) −1.54732e18 + 6.61661e17i −2.04628 + 0.875024i
\(243\) −8.86436e15 + 7.79864e17i −0.0113658 + 0.999935i
\(244\) −5.07105e17 + 5.30742e17i −0.630484 + 0.659872i
\(245\) 1.56283e17i 0.188437i
\(246\) −1.05962e18 + 4.50263e17i −1.23919 + 0.526567i
\(247\) 9.74237e17i 1.10519i
\(248\) −4.70905e17 1.76467e17i −0.518257 0.194212i
\(249\) 3.21773e15 1.41550e18i 0.00343601 1.51152i
\(250\) −3.62756e17 8.48321e17i −0.375893 0.879044i
\(251\) 8.72957e17 0.877890 0.438945 0.898514i \(-0.355352\pi\)
0.438945 + 0.898514i \(0.355352\pi\)
\(252\) 6.03717e17 + 5.82104e17i 0.589290 + 0.568194i
\(253\) −1.37038e18 −1.29849
\(254\) 3.17204e17 + 7.41796e17i 0.291800 + 0.682388i
\(255\) −9.01225e14 + 3.96454e17i −0.000804974 + 0.354113i
\(256\) −1.14814e18 + 1.04865e17i −0.995855 + 0.0909561i
\(257\) 1.77093e17i 0.149178i −0.997214 0.0745888i \(-0.976236\pi\)
0.997214 0.0745888i \(-0.0237644\pi\)
\(258\) −4.23105e17 + 1.79790e17i −0.346179 + 0.147102i
\(259\) 1.00595e18i 0.799514i
\(260\) 5.23250e17 + 4.99947e17i 0.404026 + 0.386032i
\(261\) 2.03349e15 4.47271e17i 0.00152559 0.335557i
\(262\) 1.03523e18 4.42681e17i 0.754705 0.322724i
\(263\) 1.17440e18 0.832049 0.416024 0.909353i \(-0.363423\pi\)
0.416024 + 0.909353i \(0.363423\pi\)
\(264\) 2.44019e18 + 9.20770e17i 1.68033 + 0.634048i
\(265\) 1.54439e18 1.03374
\(266\) 1.30675e18 5.58786e17i 0.850314 0.363608i
\(267\) −3.43233e17 7.80241e14i −0.217147 0.000493622i
\(268\) 1.93555e16 + 1.84935e16i 0.0119068 + 0.0113765i
\(269\) 8.77097e17i 0.524694i −0.964974 0.262347i \(-0.915504\pi\)
0.964974 0.262347i \(-0.0844964\pi\)
\(270\) −9.05335e17 + 3.79854e17i −0.526721 + 0.220998i
\(271\) 1.92414e18i 1.08885i −0.838811 0.544423i \(-0.816749\pi\)
0.838811 0.544423i \(-0.183251\pi\)
\(272\) −1.12504e18 + 5.12708e16i −0.619299 + 0.0282230i
\(273\) 1.49539e18 + 3.39935e15i 0.800821 + 0.00182044i
\(274\) −8.66184e17 2.02561e18i −0.451316 1.05542i
\(275\) −2.38659e18 −1.20999
\(276\) 1.05721e18 + 1.01474e18i 0.521608 + 0.500651i
\(277\) −1.30490e18 −0.626586 −0.313293 0.949657i \(-0.601432\pi\)
−0.313293 + 0.949657i \(0.601432\pi\)
\(278\) −8.25299e16 1.93000e17i −0.0385723 0.0902031i
\(279\) 5.53069e15 1.21649e18i 0.00251622 0.553446i
\(280\) −3.70464e17 + 9.88588e17i −0.164082 + 0.437855i
\(281\) 2.09266e18i 0.902406i 0.892421 + 0.451203i \(0.149005\pi\)
−0.892421 + 0.451203i \(0.850995\pi\)
\(282\) −1.09933e18 2.58708e18i −0.461592 1.08628i
\(283\) 5.91643e17i 0.241914i 0.992658 + 0.120957i \(0.0385963\pi\)
−0.992658 + 0.120957i \(0.961404\pi\)
\(284\) 6.31160e17 6.60579e17i 0.251334 0.263049i
\(285\) −3.78217e15 + 1.66380e18i −0.00146691 + 0.645304i
\(286\) 4.27606e18 1.82851e18i 1.61547 0.690800i
\(287\) −2.99480e18 −1.10218
\(288\) −1.20073e18 2.51726e18i −0.430529 0.902577i
\(289\) 1.76232e18 0.615673
\(290\) 5.17705e17 2.21379e17i 0.176237 0.0753618i
\(291\) −2.49653e15 + 1.09824e18i −0.000828209 + 0.364334i
\(292\) −2.08956e18 + 2.18695e18i −0.675590 + 0.707080i
\(293\) 4.65025e16i 0.0146544i 0.999973 + 0.00732722i \(0.00233235\pi\)
−0.999973 + 0.00732722i \(0.997668\pi\)
\(294\) −4.20001e17 9.88400e17i −0.129016 0.303618i
\(295\) 1.67737e18i 0.502302i
\(296\) 1.17392e18 3.13262e18i 0.342729 0.914576i
\(297\) −4.30260e16 + 6.30904e18i −0.0122478 + 1.79593i
\(298\) 1.67277e18 + 3.91185e18i 0.464316 + 1.08583i
\(299\) 2.61298e18 0.707296
\(300\) 1.84119e18 + 1.76722e18i 0.486059 + 0.466531i
\(301\) −1.19582e18 −0.307905
\(302\) −1.59600e18 3.73232e18i −0.400849 0.937405i
\(303\) 7.43837e18 + 1.69090e16i 1.82246 + 0.00414284i
\(304\) −4.72144e18 + 2.15168e17i −1.12855 + 0.0514311i
\(305\) 2.23536e18i 0.521314i
\(306\) −1.05975e18 2.50977e18i −0.241153 0.571115i
\(307\) 6.88729e18i 1.52936i 0.644409 + 0.764681i \(0.277103\pi\)
−0.644409 + 0.764681i \(0.722897\pi\)
\(308\) 4.90518e18 + 4.68673e18i 1.06298 + 1.01564i
\(309\) −7.24415e18 1.64675e16i −1.53214 0.00348289i
\(310\) 1.40805e18 6.02106e17i 0.290674 0.124297i
\(311\) −7.36891e18 −1.48491 −0.742456 0.669895i \(-0.766339\pi\)
−0.742456 + 0.669895i \(0.766339\pi\)
\(312\) −4.65284e18 1.75568e18i −0.915290 0.345371i
\(313\) 1.56999e18 0.301519 0.150759 0.988570i \(-0.451828\pi\)
0.150759 + 0.988570i \(0.451828\pi\)
\(314\) 3.39665e18 1.45246e18i 0.636911 0.272353i
\(315\) −2.55381e18 1.16108e16i −0.467584 0.00212585i
\(316\) −2.77726e18 2.65358e18i −0.496551 0.474438i
\(317\) 4.82718e18i 0.842847i 0.906864 + 0.421423i \(0.138469\pi\)
−0.906864 + 0.421423i \(0.861531\pi\)
\(318\) −9.76738e18 + 4.15045e18i −1.66561 + 0.707769i
\(319\) 3.61827e18i 0.602658i
\(320\) 2.30733e18 2.64624e18i 0.375391 0.430531i
\(321\) 1.46317e16 6.43657e18i 0.00232545 1.02298i
\(322\) 1.49871e18 + 3.50479e18i 0.232701 + 0.544181i
\(323\) −4.61682e18 −0.700364
\(324\) 4.70490e18 4.83540e18i 0.697369 0.716712i
\(325\) 4.55063e18 0.659093
\(326\) 4.90473e18 + 1.14700e19i 0.694198 + 1.62342i
\(327\) 1.51553e16 6.66691e18i 0.00209631 0.922181i
\(328\) 9.32611e18 + 3.49487e18i 1.26080 + 0.472474i
\(329\) 7.31185e18i 0.966180i
\(330\) −7.30974e18 + 3.10613e18i −0.944164 + 0.401203i
\(331\) 9.89988e18i 1.25003i 0.780613 + 0.625015i \(0.214907\pi\)
−0.780613 + 0.625015i \(0.785093\pi\)
\(332\) −8.45899e18 + 8.85327e18i −1.04420 + 1.09287i
\(333\) 8.09248e18 + 3.67920e16i 0.976674 + 0.00444040i
\(334\) 1.73089e18 7.40158e17i 0.204255 0.0873426i
\(335\) −8.15211e16 −0.00940663
\(336\) −3.13795e17 7.24786e18i −0.0354080 0.817835i
\(337\) −7.81023e18 −0.861866 −0.430933 0.902384i \(-0.641815\pi\)
−0.430933 + 0.902384i \(0.641815\pi\)
\(338\) 3.66023e17 1.56517e17i 0.0395033 0.0168922i
\(339\) 1.45405e19 + 3.30536e16i 1.53490 + 0.00348916i
\(340\) 2.36920e18 2.47963e18i 0.244630 0.256033i
\(341\) 9.84096e18i 0.993985i
\(342\) −4.44744e18 1.05328e19i −0.439455 1.04075i
\(343\) 1.12615e19i 1.08865i
\(344\) 3.72391e18 + 1.39550e18i 0.352217 + 0.131990i
\(345\) −4.46243e18 1.01441e16i −0.412979 0.000938790i
\(346\) 2.90491e18 + 6.79327e18i 0.263064 + 0.615189i
\(347\) 8.38774e18 0.743317 0.371658 0.928370i \(-0.378789\pi\)
0.371658 + 0.928370i \(0.378789\pi\)
\(348\) −2.67925e18 + 2.79140e18i −0.232364 + 0.242091i
\(349\) 1.48009e19 1.25631 0.628156 0.778087i \(-0.283810\pi\)
0.628156 + 0.778087i \(0.283810\pi\)
\(350\) 2.61007e18 + 6.10378e18i 0.216842 + 0.507094i
\(351\) 8.20399e16 1.20298e19i 0.00667147 0.978260i
\(352\) −9.80591e18 2.03192e19i −0.780581 1.61747i
\(353\) 4.73327e17i 0.0368851i −0.999830 0.0184425i \(-0.994129\pi\)
0.999830 0.0184425i \(-0.00587077\pi\)
\(354\) 4.50785e18 + 1.06084e19i 0.343910 + 0.809333i
\(355\) 2.78221e18i 0.207815i
\(356\) 2.14675e18 + 2.05115e18i 0.157003 + 0.150011i
\(357\) 1.61092e16 7.08653e18i 0.00115362 0.507483i
\(358\) −3.96671e18 + 1.69623e18i −0.278168 + 0.118949i
\(359\) 8.97571e18 0.616397 0.308198 0.951322i \(-0.400274\pi\)
0.308198 + 0.951322i \(0.400274\pi\)
\(360\) 7.93929e18 + 3.01641e18i 0.533965 + 0.202872i
\(361\) −4.19425e18 −0.276281
\(362\) −1.31109e19 + 5.60644e18i −0.845900 + 0.361721i
\(363\) −8.00517e16 + 3.52152e19i −0.00505907 + 2.22552i
\(364\) −9.35296e18 8.93643e18i −0.579013 0.553227i
\(365\) 9.21096e18i 0.558610i
\(366\) 6.00741e18 + 1.41374e19i 0.356927 + 0.839967i
\(367\) 1.41674e19i 0.824699i −0.911026 0.412350i \(-0.864708\pi\)
0.911026 0.412350i \(-0.135292\pi\)
\(368\) −5.77096e17 1.26633e19i −0.0329147 0.722248i
\(369\) −1.09534e17 + 2.40921e19i −0.00612138 + 1.34641i
\(370\) 4.00541e18 + 9.36685e18i 0.219348 + 0.512957i
\(371\) −2.76055e19 −1.48147
\(372\) −7.28702e18 + 7.59204e18i −0.383246 + 0.399288i
\(373\) −2.50966e19 −1.29359 −0.646797 0.762662i \(-0.723892\pi\)
−0.646797 + 0.762662i \(0.723892\pi\)
\(374\) −8.66515e18 2.02638e19i −0.437763 1.02373i
\(375\) −1.93068e19 4.38884e16i −0.956038 0.00217328i
\(376\) −8.53279e18 + 2.27698e19i −0.414173 + 1.10523i
\(377\) 6.89915e18i 0.328273i
\(378\) 1.61826e19 6.78979e18i 0.754850 0.316715i
\(379\) 8.39313e18i 0.383822i 0.981412 + 0.191911i \(0.0614685\pi\)
−0.981412 + 0.191911i \(0.938532\pi\)
\(380\) 9.94282e18 1.04063e19i 0.445792 0.466571i
\(381\) 1.68824e19 + 3.83772e16i 0.742157 + 0.00168708i
\(382\) −4.97316e18 + 2.12660e18i −0.214367 + 0.0916666i
\(383\) −3.20816e18 −0.135602 −0.0678008 0.997699i \(-0.521598\pi\)
−0.0678008 + 0.997699i \(0.521598\pi\)
\(384\) −7.48093e18 + 2.29368e19i −0.310078 + 0.950711i
\(385\) −2.06595e19 −0.839778
\(386\) 2.67743e19 1.14491e19i 1.06737 0.456422i
\(387\) −4.37366e16 + 9.61996e18i −0.00171007 + 0.376132i
\(388\) 6.56306e18 6.86896e18i 0.251691 0.263423i
\(389\) 4.63372e19i 1.74304i 0.490359 + 0.871521i \(0.336866\pi\)
−0.490359 + 0.871521i \(0.663134\pi\)
\(390\) 1.39379e19 5.92261e18i 0.514294 0.218539i
\(391\) 1.23826e19i 0.448216i
\(392\) −3.25998e18 + 8.69929e18i −0.115763 + 0.308915i
\(393\) 5.35583e16 2.35606e19i 0.00186587 0.820809i
\(394\) −9.49443e18 2.22032e19i −0.324524 0.758915i
\(395\) 1.16972e19 0.392287
\(396\) 3.78825e19 3.92890e19i 1.24659 1.29288i
\(397\) 1.91506e19 0.618378 0.309189 0.951001i \(-0.399942\pi\)
0.309189 + 0.951001i \(0.399942\pi\)
\(398\) −6.74656e18 1.57772e19i −0.213776 0.499926i
\(399\) 6.76053e16 2.97400e19i 0.00210225 0.924792i
\(400\) −1.00504e18 2.20537e19i −0.0306715 0.673026i
\(401\) 8.79139e18i 0.263315i 0.991295 + 0.131657i \(0.0420298\pi\)
−0.991295 + 0.131657i \(0.957970\pi\)
\(402\) 5.15576e17 2.19083e17i 0.0151564 0.00644042i
\(403\) 1.87643e19i 0.541432i
\(404\) −4.65234e19 4.44515e19i −1.31768 1.25900i
\(405\) −1.86809e17 + 2.05441e19i −0.00519381 + 0.571182i
\(406\) −9.25385e18 + 3.95710e18i −0.252567 + 0.108002i
\(407\) 6.54655e19 1.75410
\(408\) −8.32001e18 + 2.20494e19i −0.218863 + 0.580023i
\(409\) 4.62736e19 1.19511 0.597555 0.801828i \(-0.296139\pi\)
0.597555 + 0.801828i \(0.296139\pi\)
\(410\) −2.78860e19 + 1.19245e19i −0.707144 + 0.302386i
\(411\) −4.61005e19 1.04796e17i −1.14787 0.00260935i
\(412\) 4.53087e19 + 4.32909e19i 1.10778 + 1.05844i
\(413\) 2.99826e19i 0.719854i
\(414\) 2.82496e19 1.19284e19i 0.666055 0.281241i
\(415\) 3.72880e19i 0.863392i
\(416\) 1.86974e19 + 3.87437e19i 0.425189 + 0.881051i
\(417\) −4.39245e18 9.98498e15i −0.0981039 0.000223011i
\(418\) −3.63650e19 8.50412e19i −0.797740 1.86555i
\(419\) 2.29738e19 0.495025 0.247512 0.968885i \(-0.420387\pi\)
0.247512 + 0.968885i \(0.420387\pi\)
\(420\) 1.59383e19 + 1.52979e19i 0.337343 + 0.323789i
\(421\) −1.17094e19 −0.243454 −0.121727 0.992564i \(-0.538843\pi\)
−0.121727 + 0.992564i \(0.538843\pi\)
\(422\) −1.42779e18 3.33895e18i −0.0291622 0.0681973i
\(423\) −5.88212e19 2.67428e17i −1.18027 0.00536604i
\(424\) 8.59665e19 + 3.22151e19i 1.69467 + 0.635062i
\(425\) 2.15650e19i 0.417670i
\(426\) −7.47702e18 1.75959e19i −0.142284 0.334842i
\(427\) 3.99566e19i 0.747101i
\(428\) −3.84648e19 + 4.02577e19i −0.706700 + 0.739640i
\(429\) 2.21224e17 9.73179e19i 0.00399396 1.75697i
\(430\) −1.11349e19 + 4.76145e18i −0.197548 + 0.0844745i
\(431\) −3.55472e19 −0.619763 −0.309881 0.950775i \(-0.600289\pi\)
−0.309881 + 0.950775i \(0.600289\pi\)
\(432\) −5.83180e19 + 2.25928e18i −0.999250 + 0.0387117i
\(433\) −2.96535e19 −0.499364 −0.249682 0.968328i \(-0.580326\pi\)
−0.249682 + 0.968328i \(0.580326\pi\)
\(434\) −2.51686e19 + 1.07625e19i −0.416568 + 0.178131i
\(435\) 2.67838e16 1.17823e19i 0.000435715 0.191674i
\(436\) −3.98413e19 + 4.16983e19i −0.637066 + 0.666760i
\(437\) 5.19662e19i 0.816790i
\(438\) 2.47539e19 + 5.82542e19i 0.382462 + 0.900059i
\(439\) 3.88171e19i 0.589575i −0.955563 0.294788i \(-0.904751\pi\)
0.955563 0.294788i \(-0.0952489\pi\)
\(440\) 6.43358e19 + 2.41093e19i 0.960634 + 0.359989i
\(441\) −2.24728e19 1.02172e17i −0.329889 0.00149983i
\(442\) 1.65223e19 + 3.86381e19i 0.238453 + 0.557634i
\(443\) 6.56039e19 0.930897 0.465449 0.885075i \(-0.345893\pi\)
0.465449 + 0.885075i \(0.345893\pi\)
\(444\) −5.05049e19 4.84758e19i −0.704630 0.676320i
\(445\) −9.04165e18 −0.124036
\(446\) 1.32019e19 + 3.08733e19i 0.178084 + 0.416459i
\(447\) 8.90289e19 + 2.02382e17i 1.18093 + 0.00268451i
\(448\) −4.12429e19 + 4.73009e19i −0.537978 + 0.616999i
\(449\) 8.31675e18i 0.106686i −0.998576 0.0533428i \(-0.983012\pi\)
0.998576 0.0533428i \(-0.0169876\pi\)
\(450\) 4.91982e19 2.07739e19i 0.620662 0.262074i
\(451\) 1.94897e20i 2.41814i
\(452\) −9.09438e19 8.68936e19i −1.10977 1.06035i
\(453\) −8.49432e19 1.93094e17i −1.01951 0.00231757i
\(454\) −8.98495e18 + 3.84211e18i −0.106071 + 0.0453577i
\(455\) 3.93926e19 0.457434
\(456\) −3.49165e19 + 9.25345e19i −0.398837 + 1.05698i
\(457\) 1.12225e20 1.26101 0.630506 0.776184i \(-0.282847\pi\)
0.630506 + 0.776184i \(0.282847\pi\)
\(458\) −6.64353e19 + 2.84088e19i −0.734358 + 0.314023i
\(459\) −5.70080e19 3.88779e17i −0.619927 0.00422774i
\(460\) 2.79104e19 + 2.66674e19i 0.298594 + 0.285297i
\(461\) 9.12993e19i 0.960972i −0.877002 0.480486i \(-0.840460\pi\)
0.877002 0.480486i \(-0.159540\pi\)
\(462\) 1.30660e20 5.55212e19i 1.35309 0.574969i
\(463\) 8.34781e19i 0.850580i −0.905057 0.425290i \(-0.860172\pi\)
0.905057 0.425290i \(-0.139828\pi\)
\(464\) 3.34353e19 1.52373e18i 0.335213 0.0152765i
\(465\) 7.28464e16 3.20456e19i 0.000718640 0.316134i
\(466\) 1.38257e19 + 3.23320e19i 0.134212 + 0.313861i
\(467\) 5.10110e19 0.487290 0.243645 0.969864i \(-0.421657\pi\)
0.243645 + 0.969864i \(0.421657\pi\)
\(468\) −7.22325e19 + 7.49144e19i −0.679029 + 0.704241i
\(469\) 1.45717e18 0.0134808
\(470\) −2.91139e19 6.80842e19i −0.265073 0.619887i
\(471\) 1.75728e17 7.73037e19i 0.00157465 0.692697i
\(472\) 3.49892e19 9.33691e19i 0.308581 0.823452i
\(473\) 7.78223e19i 0.675531i
\(474\) −7.39783e19 + 3.14356e19i −0.632072 + 0.268586i
\(475\) 9.05019e19i 0.761124i
\(476\) −4.23489e19 + 4.43228e19i −0.350582 + 0.366923i
\(477\) −1.00966e18 + 2.22077e20i −0.00822787 + 1.80974i
\(478\) −1.34758e20 + 5.76247e19i −1.08105 + 0.462274i
\(479\) −2.01495e20 −1.59129 −0.795643 0.605766i \(-0.792867\pi\)
−0.795643 + 0.605766i \(0.792867\pi\)
\(480\) −3.17810e19 6.62389e19i −0.247092 0.514996i
\(481\) −1.24826e20 −0.955473
\(482\) 1.15374e20 4.93359e19i 0.869474 0.371801i
\(483\) 7.97649e19 + 1.81323e17i 0.591845 + 0.00134539i
\(484\) 2.10445e20 2.20254e20i 1.53744 1.60910i
\(485\) 2.89305e19i 0.208110i
\(486\) −5.40296e19 1.30432e20i −0.382701 0.923872i
\(487\) 4.30763e19i 0.300450i 0.988652 + 0.150225i \(0.0479997\pi\)
−0.988652 + 0.150225i \(0.952000\pi\)
\(488\) 4.66286e19 1.24429e20i 0.320261 0.854619i
\(489\) 2.61042e20 + 5.93405e17i 1.76561 + 0.00401360i
\(490\) −1.11230e19 2.60118e19i −0.0740889 0.173260i
\(491\) −8.13094e19 −0.533372 −0.266686 0.963784i \(-0.585929\pi\)
−0.266686 + 0.963784i \(0.585929\pi\)
\(492\) 1.44317e20 1.50358e20i 0.932351 0.971378i
\(493\) 3.26944e19 0.208028
\(494\) 6.93390e19 + 1.62153e20i 0.434536 + 1.01618i
\(495\) −7.55613e17 + 1.66198e20i −0.00466402 + 1.02586i
\(496\) 9.09373e19 4.14424e18i 0.552878 0.0251960i
\(497\) 4.97313e19i 0.297822i
\(498\) 1.00209e20 + 2.35825e20i 0.591136 + 1.39114i
\(499\) 2.44995e20i 1.42365i −0.702358 0.711823i \(-0.747870\pi\)
0.702358 0.711823i \(-0.252130\pi\)
\(500\) 1.20755e20 + 1.15377e20i 0.691239 + 0.660455i
\(501\) 8.95489e16 3.93931e19i 0.000504983 0.222145i
\(502\) −1.45295e20 + 6.21307e19i −0.807187 + 0.345166i
\(503\) −6.31286e19 −0.345514 −0.172757 0.984964i \(-0.555268\pi\)
−0.172757 + 0.984964i \(0.555268\pi\)
\(504\) −1.41913e20 5.39176e19i −0.765231 0.290738i
\(505\) 1.95946e20 1.04100
\(506\) 2.28087e20 9.75336e19i 1.19391 0.510535i
\(507\) 1.89364e16 8.33024e18i 9.76648e−5 0.0429633i
\(508\) −1.05591e20 1.00889e20i −0.536598 0.512701i
\(509\) 2.80524e20i 1.40471i 0.711827 + 0.702354i \(0.247868\pi\)
−0.711827 + 0.702354i \(0.752132\pi\)
\(510\) −2.80667e19 6.60502e19i −0.138489 0.325910i
\(511\) 1.64644e20i 0.800550i
\(512\) 1.83634e20 9.91702e19i 0.879890 0.475178i
\(513\) −2.39245e20 1.63159e18i −1.12970 0.00770425i
\(514\) 1.26042e19 + 2.94755e19i 0.0586532 + 0.137163i
\(515\) −1.90830e20 −0.875170
\(516\) 5.76257e19 6.00378e19i 0.260461 0.271364i
\(517\) −4.75844e20 −2.11976
\(518\) −7.15958e19 1.67430e20i −0.314351 0.735124i
\(519\) 1.54607e20 + 3.51454e17i 0.669072 + 0.00152094i
\(520\) −1.22672e20 4.59704e19i −0.523266 0.196089i
\(521\) 1.83656e20i 0.772187i 0.922460 + 0.386093i \(0.126176\pi\)
−0.922460 + 0.386093i \(0.873824\pi\)
\(522\) 3.14950e19 + 7.45887e19i 0.130531 + 0.309132i
\(523\) 1.34378e20i 0.548993i 0.961588 + 0.274496i \(0.0885111\pi\)
−0.961588 + 0.274496i \(0.911489\pi\)
\(524\) −1.40798e20 + 1.47360e20i −0.567036 + 0.593465i
\(525\) 1.38915e20 + 3.15783e17i 0.551510 + 0.00125370i
\(526\) −1.95468e20 + 8.35853e19i −0.765038 + 0.327142i
\(527\) 8.89222e19 0.343108
\(528\) −4.71680e20 + 2.04213e19i −1.79429 + 0.0776836i
\(529\) −1.27258e20 −0.477274
\(530\) −2.57048e20 + 1.09918e20i −0.950487 + 0.406443i
\(531\) 2.41200e20 + 1.09660e18i 0.879363 + 0.00399798i
\(532\) −1.77725e20 + 1.86009e20i −0.638870 + 0.668648i
\(533\) 3.71620e20i 1.31718i
\(534\) 5.71833e19 2.42989e19i 0.199853 0.0849234i
\(535\) 1.69556e20i 0.584333i
\(536\) −4.53778e18 1.70049e18i −0.0154208 0.00577881i
\(537\) −2.05220e17 + 9.02775e19i −0.000687721 + 0.302533i
\(538\) 6.24253e19 + 1.45985e20i 0.206297 + 0.482436i
\(539\) −1.81798e20 −0.592479
\(540\) 1.23649e20 1.27658e20i 0.397409 0.410294i
\(541\) 3.84843e20 1.21984 0.609921 0.792462i \(-0.291201\pi\)
0.609921 + 0.792462i \(0.291201\pi\)
\(542\) 1.36946e20 + 3.20255e20i 0.428109 + 1.00115i
\(543\) −6.78302e17 + 2.98389e20i −0.00209134 + 0.919992i
\(544\) 1.83603e20 8.86054e19i 0.558326 0.269444i
\(545\) 1.75624e20i 0.526756i
\(546\) −2.49136e20 + 1.05865e20i −0.737041 + 0.313190i
\(547\) 4.54531e18i 0.0132635i 0.999978 + 0.00663176i \(0.00211097\pi\)
−0.999978 + 0.00663176i \(0.997889\pi\)
\(548\) 2.88336e20 + 2.75495e20i 0.829937 + 0.792976i
\(549\) 3.21437e20 + 1.46140e18i 0.912647 + 0.00414930i
\(550\) 3.97225e20 1.69860e20i 1.11254 0.475741i
\(551\) 1.37209e20 0.379092
\(552\) −2.48184e20 9.36488e19i −0.676443 0.255246i
\(553\) −2.09085e20 −0.562191
\(554\) 2.17189e20 9.28735e19i 0.576122 0.246359i
\(555\) 2.13178e20 + 4.84599e17i 0.557886 + 0.00126819i
\(556\) 2.74727e19 + 2.62492e19i 0.0709316 + 0.0677727i
\(557\) 7.56098e20i 1.92603i −0.269441 0.963017i \(-0.586839\pi\)
0.269441 0.963017i \(-0.413161\pi\)
\(558\) 8.56599e19 + 2.02866e20i 0.215289 + 0.509862i
\(559\) 1.48388e20i 0.367968i
\(560\) −8.70016e18 1.90908e20i −0.0212871 0.467104i
\(561\) −4.61181e20 1.04836e18i −1.11340 0.00253099i
\(562\) −1.48940e20 3.48304e20i −0.354805 0.829729i
\(563\) −2.00620e20 −0.471587 −0.235794 0.971803i \(-0.575769\pi\)
−0.235794 + 0.971803i \(0.575769\pi\)
\(564\) 3.67101e20 + 3.52352e20i 0.851516 + 0.817304i
\(565\) 3.83035e20 0.876748
\(566\) −4.21088e19 9.84733e19i −0.0951150 0.222431i
\(567\) 3.33917e18 3.67221e20i 0.00744330 0.818567i
\(568\) −5.80355e19 + 1.54868e20i −0.127668 + 0.340683i
\(569\) 4.97779e20i 1.08067i −0.841449 0.540337i \(-0.818297\pi\)
0.841449 0.540337i \(-0.181703\pi\)
\(570\) −1.17787e20 2.77193e20i −0.252370 0.593910i
\(571\) 6.85715e20i 1.45002i −0.688741 0.725008i \(-0.741836\pi\)
0.688741 0.725008i \(-0.258164\pi\)
\(572\) −5.81570e20 + 6.08677e20i −1.21376 + 1.27033i
\(573\) −2.57289e17 + 1.13183e20i −0.000529983 + 0.233143i
\(574\) 4.98456e20 2.13148e20i 1.01342 0.433353i
\(575\) 2.42733e20 0.487101
\(576\) 3.79010e20 + 3.33515e20i 0.750728 + 0.660612i
\(577\) 1.82923e20 0.357643 0.178822 0.983881i \(-0.442771\pi\)
0.178822 + 0.983881i \(0.442771\pi\)
\(578\) −2.93321e20 + 1.25429e20i −0.566088 + 0.242068i
\(579\) 1.38518e18 6.09350e20i 0.00263887 1.16085i
\(580\) −7.04110e19 + 7.36929e19i −0.132413 + 0.138585i
\(581\) 6.66513e20i 1.23734i
\(582\) −7.77491e19 1.82969e20i −0.142486 0.335317i
\(583\) 1.79653e21i 3.25027i
\(584\) 1.92136e20 5.12717e20i 0.343173 0.915760i
\(585\) 1.44077e18 3.16899e20i 0.00254053 0.558794i
\(586\) −3.30970e18 7.73990e18i −0.00576178 0.0134742i
\(587\) −9.63267e18 −0.0165562 −0.00827811 0.999966i \(-0.502635\pi\)
−0.00827811 + 0.999966i \(0.502635\pi\)
\(588\) 1.40252e20 + 1.34617e20i 0.238002 + 0.228439i
\(589\) 3.73179e20 0.625249
\(590\) 1.19383e20 + 2.79183e20i 0.197494 + 0.461848i
\(591\) −5.05317e20 1.14869e18i −0.825388 0.00187628i
\(592\) 2.75689e19 + 6.04946e20i 0.0444638 + 0.975672i
\(593\) 4.90363e20i 0.780921i 0.920620 + 0.390461i \(0.127684\pi\)
−0.920620 + 0.390461i \(0.872316\pi\)
\(594\) −4.41870e20 1.05314e21i −0.694858 1.65611i
\(595\) 1.86678e20i 0.289878i
\(596\) −5.56833e20 5.32035e20i −0.853843 0.815818i
\(597\) −3.59069e20 8.16240e17i −0.543714 0.00123598i
\(598\) −4.34905e20 + 1.85972e20i −0.650333 + 0.278093i
\(599\) −4.47062e19 −0.0660187 −0.0330094 0.999455i \(-0.510509\pi\)
−0.0330094 + 0.999455i \(0.510509\pi\)
\(600\) −4.32226e20 1.63094e20i −0.630343 0.237851i
\(601\) −4.07151e20 −0.586404 −0.293202 0.956051i \(-0.594721\pi\)
−0.293202 + 0.956051i \(0.594721\pi\)
\(602\) 1.99033e20 8.51097e19i 0.283108 0.121061i
\(603\) 5.32954e16 1.17224e19i 7.48704e−5 0.0164679i
\(604\) 5.31279e20 + 5.07619e20i 0.737132 + 0.704304i
\(605\) 9.27661e20i 1.27123i
\(606\) −1.23925e21 + 5.26594e20i −1.67731 + 0.712740i
\(607\) 3.14156e20i 0.419982i 0.977703 + 0.209991i \(0.0673434\pi\)
−0.977703 + 0.209991i \(0.932657\pi\)
\(608\) 7.70525e20 3.71850e20i 1.01744 0.491011i
\(609\) −4.78754e17 + 2.10607e20i −0.000624428 + 0.274690i
\(610\) 1.59097e20 + 3.72055e20i 0.204969 + 0.479329i
\(611\) 9.07317e20 1.15465
\(612\) 3.55012e20 + 3.42303e20i 0.446280 + 0.430304i
\(613\) −7.10056e20 −0.881736 −0.440868 0.897572i \(-0.645329\pi\)
−0.440868 + 0.897572i \(0.645329\pi\)
\(614\) −4.90186e20 1.14632e21i −0.601310 1.40619i
\(615\) −1.44270e18 + 6.34652e20i −0.00174829 + 0.769082i
\(616\) −1.14999e21 4.30947e20i −1.37669 0.515904i
\(617\) 3.85781e20i 0.456250i 0.973632 + 0.228125i \(0.0732594\pi\)
−0.973632 + 0.228125i \(0.926741\pi\)
\(618\) 1.20689e21 5.12845e20i 1.41012 0.599201i
\(619\) 1.00365e21i 1.15851i −0.815146 0.579256i \(-0.803343\pi\)
0.815146 0.579256i \(-0.196657\pi\)
\(620\) −1.91504e20 + 2.00430e20i −0.218393 + 0.228573i
\(621\) 4.37604e18 6.41673e20i 0.00493054 0.722981i
\(622\) 1.22649e21 5.24465e20i 1.36532 0.583833i
\(623\) 1.61617e20 0.177757
\(624\) 8.99378e20 3.89384e19i 0.977367 0.0423149i
\(625\) 1.18864e20 0.127629
\(626\) −2.61310e20 + 1.11740e20i −0.277235 + 0.118550i
\(627\) −1.93543e21 4.39966e18i −2.02895 0.00461224i
\(628\) −4.61965e20 + 4.83497e20i −0.478533 + 0.500837i
\(629\) 5.91541e20i 0.605487i
\(630\) 4.25884e20 1.79829e20i 0.430762 0.181889i
\(631\) 9.15492e20i 0.915028i 0.889202 + 0.457514i \(0.151260\pi\)
−0.889202 + 0.457514i \(0.848740\pi\)
\(632\) 6.51112e20 + 2.43998e20i 0.643098 + 0.240995i
\(633\) −7.59905e19 1.72743e17i −0.0741706 0.000168606i
\(634\) −3.43563e20 8.03438e20i −0.331388 0.774966i
\(635\) 4.44726e20 0.423925
\(636\) 1.33029e21 1.38597e21i 1.25319 1.30565i
\(637\) 3.46643e20 0.322728
\(638\) 2.57522e20 + 6.02227e20i 0.236951 + 0.554122i
\(639\) −4.00071e20 1.81890e18i −0.363815 0.00165407i
\(640\) −1.95693e20 + 6.04660e20i −0.175884 + 0.543452i
\(641\) 9.31832e20i 0.827756i 0.910332 + 0.413878i \(0.135826\pi\)
−0.910332 + 0.413878i \(0.864174\pi\)
\(642\) 4.55672e20 + 1.07235e21i 0.400074 + 0.941506i
\(643\) 1.63782e21i 1.42129i −0.703548 0.710647i \(-0.748402\pi\)
0.703548 0.710647i \(-0.251598\pi\)
\(644\) −4.98891e20 4.76673e20i −0.427919 0.408862i
\(645\) −5.76069e17 + 2.53416e20i −0.000488401 + 0.214851i
\(646\) 7.68426e20 3.28591e20i 0.643959 0.275367i
\(647\) −1.88450e21 −1.56104 −0.780519 0.625132i \(-0.785045\pi\)
−0.780519 + 0.625132i \(0.785045\pi\)
\(648\) −4.38938e20 + 1.13967e21i −0.359411 + 0.933180i
\(649\) 1.95123e21 1.57933
\(650\) −7.57410e20 + 3.23881e20i −0.606011 + 0.259140i
\(651\) −1.30211e18 + 5.72807e20i −0.00102989 + 0.453055i
\(652\) −1.63269e21 1.55998e21i −1.27658 1.21973i
\(653\) 1.76776e21i 1.36639i −0.730238 0.683193i \(-0.760591\pi\)
0.730238 0.683193i \(-0.239409\pi\)
\(654\) 4.71979e20 + 1.11072e21i 0.360653 + 0.848735i
\(655\) 6.20648e20i 0.468852i
\(656\) −1.80098e21 + 8.20753e19i −1.34503 + 0.0612962i
\(657\) 1.32450e21 + 6.02177e18i 0.977939 + 0.00444615i
\(658\) 5.20403e20 + 1.21699e21i 0.379880 + 0.888366i
\(659\) 2.02766e21 1.46337 0.731685 0.681643i \(-0.238734\pi\)
0.731685 + 0.681643i \(0.238734\pi\)
\(660\) 9.95566e20 1.03724e21i 0.710380 0.740115i
\(661\) −2.58366e21 −1.82274 −0.911368 0.411593i \(-0.864972\pi\)
−0.911368 + 0.411593i \(0.864972\pi\)
\(662\) −7.04601e20 1.64774e21i −0.491483 1.14936i
\(663\) 8.79357e20 + 1.99897e18i 0.606476 + 0.00137865i
\(664\) 7.77808e20 2.07559e21i 0.530410 1.41541i
\(665\) 7.83429e20i 0.528248i
\(666\) −1.34953e21 + 5.69839e20i −0.899761 + 0.379923i
\(667\) 3.68004e20i 0.242610i
\(668\) −2.35412e20 + 2.46385e20i −0.153464 + 0.160617i
\(669\) 7.02640e20 + 1.59725e18i 0.452936 + 0.00102962i
\(670\) 1.35684e19 5.80208e18i 0.00864905 0.00369847i
\(671\) 2.60032e21 1.63911
\(672\) 5.68078e20 + 1.18400e21i 0.354110 + 0.738047i
\(673\) 3.09395e19 0.0190722 0.00953608 0.999955i \(-0.496965\pi\)
0.00953608 + 0.999955i \(0.496965\pi\)
\(674\) 1.29994e21 5.55875e20i 0.792454 0.338866i
\(675\) 7.62111e18 1.11751e21i 0.00459451 0.673709i
\(676\) −4.97813e19 + 5.21016e19i −0.0296801 + 0.0310636i
\(677\) 4.11420e20i 0.242589i 0.992617 + 0.121294i \(0.0387045\pi\)
−0.992617 + 0.121294i \(0.961296\pi\)
\(678\) −2.42248e21 + 1.02938e21i −1.41266 + 0.600281i
\(679\) 5.17126e20i 0.298245i
\(680\) −2.17849e20 + 5.81334e20i −0.124262 + 0.331595i
\(681\) −4.64842e17 + 2.04487e20i −0.000262242 + 0.115362i
\(682\) 7.00407e20 + 1.63794e21i 0.390812 + 0.913932i
\(683\) −4.76136e20 −0.262770 −0.131385 0.991331i \(-0.541942\pi\)
−0.131385 + 0.991331i \(0.541942\pi\)
\(684\) 1.48988e21 + 1.43654e21i 0.813262 + 0.784147i
\(685\) −1.21441e21 −0.655670
\(686\) 8.01508e20 + 1.87436e21i 0.428033 + 1.00097i
\(687\) −3.43707e18 + 1.51199e21i −0.00181557 + 0.798680i
\(688\) −7.19131e20 + 3.27726e19i −0.375746 + 0.0171237i
\(689\) 3.42553e21i 1.77045i
\(690\) 7.43451e20 3.15915e20i 0.380088 0.161511i
\(691\) 1.15215e21i 0.582673i 0.956621 + 0.291337i \(0.0940999\pi\)
−0.956621 + 0.291337i \(0.905900\pi\)
\(692\) −9.66990e20 9.23926e20i −0.483756 0.462212i
\(693\) 1.35064e19 2.97076e21i 0.00668406 1.47017i
\(694\) −1.39606e21 + 5.96977e20i −0.683452 + 0.292255i
\(695\) −1.15709e20 −0.0560376
\(696\) 2.47265e20 6.55292e20i 0.118466 0.313954i
\(697\) −1.76107e21 −0.834703
\(698\) −2.46347e21 + 1.05342e21i −1.15513 + 0.493953i
\(699\) 7.35836e20 + 1.67271e18i 0.341352 + 0.000775966i
\(700\) −8.68844e20 8.30151e20i −0.398756 0.380997i
\(701\) 8.34711e20i 0.379010i 0.981880 + 0.189505i \(0.0606884\pi\)
−0.981880 + 0.189505i \(0.939312\pi\)
\(702\) 8.42536e20 + 2.00808e21i 0.378495 + 0.902096i
\(703\) 2.48252e21i 1.10339i
\(704\) 3.07827e21 + 2.68403e21i 1.35367 + 1.18030i
\(705\) −1.54951e21 3.52237e18i −0.674182 0.00153256i
\(706\) 3.36879e19 + 7.87807e19i 0.0145024 + 0.0339144i
\(707\) −3.50249e21 −1.49187
\(708\) −1.50532e21 1.44484e21i −0.634424 0.608935i
\(709\) 2.40258e21 1.00192 0.500958 0.865471i \(-0.332981\pi\)
0.500958 + 0.865471i \(0.332981\pi\)
\(710\) −1.98017e20 4.63072e20i −0.0817081 0.191078i
\(711\) −7.64719e18 + 1.68201e21i −0.00312234 + 0.686764i
\(712\) −5.03293e20 1.88604e20i −0.203339 0.0761994i
\(713\) 1.00089e21i 0.400145i
\(714\) 5.01685e20 + 1.18063e21i 0.198470 + 0.467066i
\(715\) 2.56361e21i 1.00359i
\(716\) 5.39496e20 5.64642e20i 0.208997 0.218739i
\(717\) −6.97178e18 + 3.06693e21i −0.00267270 + 1.17574i
\(718\) −1.49392e21 + 6.38825e20i −0.566754 + 0.242353i
\(719\) −5.58110e20 −0.209533 −0.104767 0.994497i \(-0.533410\pi\)
−0.104767 + 0.994497i \(0.533410\pi\)
\(720\) −1.53611e21 + 6.30073e19i −0.570725 + 0.0234098i
\(721\) 3.41104e21 1.25422
\(722\) 6.98094e20 2.98516e20i 0.254030 0.108627i
\(723\) 5.96896e18 2.62578e21i 0.00214962 0.945630i
\(724\) 1.78316e21 1.86628e21i 0.635554 0.665177i
\(725\) 6.40897e20i 0.226075i
\(726\) −2.49304e21 5.86694e21i −0.870370 2.04827i
\(727\) 2.03302e21i 0.702479i −0.936286 0.351239i \(-0.885760\pi\)
0.936286 0.351239i \(-0.114240\pi\)
\(728\) 2.19274e21 + 8.21709e20i 0.749898 + 0.281017i
\(729\) −2.95404e21 4.02934e19i −0.999907 0.0136388i
\(730\) 6.55568e20 + 1.53308e21i 0.219632 + 0.513621i
\(731\) −7.03196e20 −0.233183
\(732\) −2.00607e21 1.92548e21i −0.658437 0.631983i
\(733\) −3.69702e21 −1.20108 −0.600540 0.799595i \(-0.705048\pi\)
−0.600540 + 0.799595i \(0.705048\pi\)
\(734\) 1.00833e21 + 2.35804e21i 0.324253 + 0.758280i
\(735\) −5.91996e20 1.34573e18i −0.188436 0.000428355i
\(736\) 9.97329e20 + 2.06660e21i 0.314235 + 0.651139i
\(737\) 9.48305e19i 0.0295762i
\(738\) −1.69647e21 4.01770e21i −0.523748 1.24038i
\(739\) 3.50967e21i 1.07259i 0.844031 + 0.536295i \(0.180176\pi\)
−0.844031 + 0.536295i \(0.819824\pi\)
\(740\) −1.33333e21 1.27395e21i −0.403365 0.385402i
\(741\) 3.69039e21 + 8.38905e18i 1.10519 + 0.00251233i
\(742\) 4.59468e21 1.96476e21i 1.36215 0.582478i
\(743\) 1.84088e21 0.540268 0.270134 0.962823i \(-0.412932\pi\)
0.270134 + 0.962823i \(0.412932\pi\)
\(744\) 6.72510e20 1.78226e21i 0.195390 0.517814i
\(745\) 2.34526e21 0.674556
\(746\) 4.17709e21 1.78619e21i 1.18941 0.508612i
\(747\) 5.36186e21 + 2.43774e19i 1.51151 + 0.00687201i
\(748\) 2.88446e21 + 2.75600e21i 0.805013 + 0.769162i
\(749\) 3.03078e21i 0.837414i
\(750\) 3.21655e21 1.36681e21i 0.879896 0.373894i
\(751\) 2.33032e21i 0.631125i −0.948905 0.315563i \(-0.897807\pi\)
0.948905 0.315563i \(-0.102193\pi\)
\(752\) −2.00388e20 4.39713e21i −0.0537326 1.17906i
\(753\) −7.51695e18 + 3.30675e21i −0.00199563 + 0.877887i
\(754\) −4.91031e20 1.14830e21i −0.129069 0.301835i
\(755\) −2.23763e21 −0.582352
\(756\) −2.21020e21 + 2.28186e21i −0.569532 + 0.587997i
\(757\) 4.35803e21 1.11191 0.555957 0.831211i \(-0.312352\pi\)
0.555957 + 0.831211i \(0.312352\pi\)
\(758\) −5.97361e20 1.39696e21i −0.150910 0.352910i
\(759\) 1.18002e19 5.19098e21i 0.00295173 1.29848i
\(760\) −9.14247e20 + 2.43968e21i −0.226445 + 0.604270i
\(761\) 6.10184e21i 1.49650i 0.663418 + 0.748249i \(0.269105\pi\)
−0.663418 + 0.748249i \(0.730895\pi\)
\(762\) −2.81264e21 + 1.19518e21i −0.683049 + 0.290248i
\(763\) 3.13923e21i 0.754900i
\(764\) 6.76379e20 7.07906e20i 0.161061