Properties

Label 12.16.b.a.11.11
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 11.11
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-80.5973 - 162.087i) q^{2} +(-2767.36 + 2586.62i) q^{3} +(-19776.2 + 26127.5i) q^{4} -332581. i q^{5} +(642299. + 240078. i) q^{6} -2.13481e6i q^{7} +(5.82882e6 + 1.09965e6i) q^{8} +(967701. - 1.43162e7i) q^{9} +O(q^{10})\) \(q+(-80.5973 - 162.087i) q^{2} +(-2767.36 + 2586.62i) q^{3} +(-19776.2 + 26127.5i) q^{4} -332581. i q^{5} +(642299. + 240078. i) q^{6} -2.13481e6i q^{7} +(5.82882e6 + 1.09965e6i) q^{8} +(967701. - 1.43162e7i) q^{9} +(-5.39069e7 + 2.68051e7i) q^{10} -7.24202e7 q^{11} +(-1.28540e7 - 1.23458e8i) q^{12} +5.97405e7 q^{13} +(-3.46024e8 + 1.72060e8i) q^{14} +(8.60260e8 + 9.20372e8i) q^{15} +(-2.91549e8 - 1.03340e9i) q^{16} +9.88823e8i q^{17} +(-2.39847e9 + 9.96998e8i) q^{18} +6.22690e7i q^{19} +(8.68950e9 + 6.57717e9i) q^{20} +(5.52194e9 + 5.90779e9i) q^{21} +(5.83687e9 + 1.17383e10i) q^{22} -2.88688e9 q^{23} +(-1.89748e10 + 1.20338e10i) q^{24} -8.00924e10 q^{25} +(-4.81493e9 - 9.68315e9i) q^{26} +(3.43527e10 + 4.21213e10i) q^{27} +(5.57772e10 + 4.22183e10i) q^{28} +3.09233e10i q^{29} +(7.98454e10 - 2.13616e11i) q^{30} +4.97193e10i q^{31} +(-1.44003e11 + 1.30546e11i) q^{32} +(2.00413e11 - 1.87324e11i) q^{33} +(1.60275e11 - 7.96964e10i) q^{34} -7.09996e11 q^{35} +(3.54910e11 + 3.08404e11i) q^{36} +2.95345e11 q^{37} +(1.00930e10 - 5.01871e9i) q^{38} +(-1.65324e11 + 1.54526e11i) q^{39} +(3.65722e11 - 1.93855e12i) q^{40} -1.49988e12i q^{41} +(5.12521e11 - 1.37118e12i) q^{42} +2.69129e12i q^{43} +(1.43219e12 - 1.89216e12i) q^{44} +(-4.76131e12 - 3.21839e11i) q^{45} +(2.32675e11 + 4.67925e11i) q^{46} -4.45404e12 q^{47} +(3.47984e12 + 2.10568e12i) q^{48} +1.90153e11 q^{49} +(6.45523e12 + 1.29819e13i) q^{50} +(-2.55771e12 - 2.73643e12i) q^{51} +(-1.18144e12 + 1.56087e12i) q^{52} +3.63427e12i q^{53} +(4.05857e12 - 8.96298e12i) q^{54} +2.40856e13i q^{55} +(2.34754e12 - 1.24434e13i) q^{56} +(-1.61066e11 - 1.72321e11i) q^{57} +(5.01226e12 - 2.49234e12i) q^{58} +2.17253e13 q^{59} +(-4.10596e13 + 4.27500e12i) q^{60} -3.26526e12 q^{61} +(8.05883e12 - 4.00724e12i) q^{62} +(-3.05624e13 - 2.06586e12i) q^{63} +(3.27659e13 + 1.28193e13i) q^{64} -1.98686e13i q^{65} +(-4.65154e13 - 1.73865e13i) q^{66} -7.11776e13i q^{67} +(-2.58355e13 - 1.95551e13i) q^{68} +(7.98905e12 - 7.46727e12i) q^{69} +(5.72238e13 + 1.15081e14i) q^{70} -4.18952e13 q^{71} +(2.13834e13 - 8.23827e13i) q^{72} +1.11208e14 q^{73} +(-2.38040e13 - 4.78715e13i) q^{74} +(2.21645e14 - 2.07169e14i) q^{75} +(-1.62693e12 - 1.23144e12i) q^{76} +1.54603e14i q^{77} +(3.83713e13 + 1.43424e13i) q^{78} +1.98903e14i q^{79} +(-3.43690e14 + 9.69635e13i) q^{80} +(-2.04018e14 - 2.77077e13i) q^{81} +(-2.43111e14 + 1.20886e14i) q^{82} +1.29134e14 q^{83} +(-2.63559e14 + 2.74409e13i) q^{84} +3.28864e14 q^{85} +(4.36222e14 - 2.16910e14i) q^{86} +(-7.99869e13 - 8.55761e13i) q^{87} +(-4.22124e14 - 7.96367e13i) q^{88} +1.60087e14i q^{89} +(3.31582e14 + 7.97683e14i) q^{90} -1.27535e14i q^{91} +(5.70914e13 - 7.54270e13i) q^{92} +(-1.28605e14 - 1.37591e14i) q^{93} +(3.58983e14 + 7.21940e14i) q^{94} +2.07095e13 q^{95} +(6.08361e13 - 7.33747e14i) q^{96} -1.03196e15 q^{97} +(-1.53258e13 - 3.08212e13i) q^{98} +(-7.00811e13 + 1.03678e15i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −80.5973 162.087i −0.445241 0.895411i
\(3\) −2767.36 + 2586.62i −0.730562 + 0.682847i
\(4\) −19776.2 + 26127.5i −0.603521 + 0.797347i
\(5\) 332581.i 1.90380i −0.306404 0.951902i \(-0.599126\pi\)
0.306404 0.951902i \(-0.400874\pi\)
\(6\) 642299. + 240078.i 0.936704 + 0.350121i
\(7\) 2.13481e6i 0.979769i −0.871787 0.489884i \(-0.837039\pi\)
0.871787 0.489884i \(-0.162961\pi\)
\(8\) 5.82882e6 + 1.09965e6i 0.982666 + 0.185387i
\(9\) 967701. 1.43162e7i 0.0674407 0.997723i
\(10\) −5.39069e7 + 2.68051e7i −1.70469 + 0.847652i
\(11\) −7.24202e7 −1.12051 −0.560253 0.828321i \(-0.689296\pi\)
−0.560253 + 0.828321i \(0.689296\pi\)
\(12\) −1.28540e7 1.23458e8i −0.103557 0.994624i
\(13\) 5.97405e7 0.264055 0.132027 0.991246i \(-0.457851\pi\)
0.132027 + 0.991246i \(0.457851\pi\)
\(14\) −3.46024e8 + 1.72060e8i −0.877296 + 0.436234i
\(15\) 8.60260e8 + 9.20372e8i 1.30001 + 1.39085i
\(16\) −2.91549e8 1.03340e9i −0.271526 0.962431i
\(17\) 9.88823e8i 0.584456i 0.956349 + 0.292228i \(0.0943966\pi\)
−0.956349 + 0.292228i \(0.905603\pi\)
\(18\) −2.39847e9 + 9.96998e8i −0.923399 + 0.383840i
\(19\) 6.22690e7i 0.0159816i 0.999968 + 0.00799079i \(0.00254357\pi\)
−0.999968 + 0.00799079i \(0.997456\pi\)
\(20\) 8.68950e9 + 6.57717e9i 1.51799 + 1.14898i
\(21\) 5.52194e9 + 5.90779e9i 0.669032 + 0.715782i
\(22\) 5.83687e9 + 1.17383e10i 0.498896 + 1.00331i
\(23\) −2.88688e9 −0.176795 −0.0883976 0.996085i \(-0.528175\pi\)
−0.0883976 + 0.996085i \(0.528175\pi\)
\(24\) −1.89748e10 + 1.20338e10i −0.844489 + 0.535574i
\(25\) −8.00924e10 −2.62447
\(26\) −4.81493e9 9.68315e9i −0.117568 0.236437i
\(27\) 3.43527e10 + 4.21213e10i 0.632022 + 0.774950i
\(28\) 5.57772e10 + 4.22183e10i 0.781216 + 0.591311i
\(29\) 3.09233e10i 0.332890i 0.986051 + 0.166445i \(0.0532289\pi\)
−0.986051 + 0.166445i \(0.946771\pi\)
\(30\) 7.98454e10 2.13616e11i 0.666562 1.78330i
\(31\) 4.97193e10i 0.324573i 0.986744 + 0.162286i \(0.0518868\pi\)
−0.986744 + 0.162286i \(0.948113\pi\)
\(32\) −1.44003e11 + 1.30546e11i −0.740877 + 0.671641i
\(33\) 2.00413e11 1.87324e11i 0.818599 0.765134i
\(34\) 1.60275e11 7.96964e10i 0.523328 0.260224i
\(35\) −7.09996e11 −1.86529
\(36\) 3.54910e11 + 3.08404e11i 0.754830 + 0.655920i
\(37\) 2.95345e11 0.511466 0.255733 0.966747i \(-0.417683\pi\)
0.255733 + 0.966747i \(0.417683\pi\)
\(38\) 1.00930e10 5.01871e9i 0.0143101 0.00711566i
\(39\) −1.65324e11 + 1.54526e11i −0.192908 + 0.180309i
\(40\) 3.65722e11 1.93855e12i 0.352940 1.87080i
\(41\) 1.49988e12i 1.20276i −0.798964 0.601379i \(-0.794618\pi\)
0.798964 0.601379i \(-0.205382\pi\)
\(42\) 5.12521e11 1.37118e12i 0.343038 0.917754i
\(43\) 2.69129e12i 1.50990i 0.655785 + 0.754948i \(0.272338\pi\)
−0.655785 + 0.754948i \(0.727662\pi\)
\(44\) 1.43219e12 1.89216e12i 0.676249 0.893433i
\(45\) −4.76131e12 3.21839e11i −1.89947 0.128394i
\(46\) 2.32675e11 + 4.67925e11i 0.0787165 + 0.158304i
\(47\) −4.45404e12 −1.28239 −0.641194 0.767378i \(-0.721561\pi\)
−0.641194 + 0.767378i \(0.721561\pi\)
\(48\) 3.47984e12 + 2.10568e12i 0.855559 + 0.517705i
\(49\) 1.90153e11 0.0400527
\(50\) 6.45523e12 + 1.29819e13i 1.16852 + 2.34998i
\(51\) −2.55771e12 2.73643e12i −0.399094 0.426981i
\(52\) −1.18144e12 + 1.56087e12i −0.159362 + 0.210543i
\(53\) 3.63427e12i 0.424960i 0.977165 + 0.212480i \(0.0681541\pi\)
−0.977165 + 0.212480i \(0.931846\pi\)
\(54\) 4.05857e12 8.96298e12i 0.412496 0.910959i
\(55\) 2.40856e13i 2.13322i
\(56\) 2.34754e12 1.24434e13i 0.181636 0.962785i
\(57\) −1.61066e11 1.72321e11i −0.0109130 0.0116755i
\(58\) 5.01226e12 2.49234e12i 0.298074 0.148217i
\(59\) 2.17253e13 1.13652 0.568259 0.822850i \(-0.307617\pi\)
0.568259 + 0.822850i \(0.307617\pi\)
\(60\) −4.10596e13 + 4.27500e12i −1.89357 + 0.197152i
\(61\) −3.26526e12 −0.133028 −0.0665142 0.997785i \(-0.521188\pi\)
−0.0665142 + 0.997785i \(0.521188\pi\)
\(62\) 8.05883e12 4.00724e12i 0.290626 0.144513i
\(63\) −3.05624e13 2.06586e12i −0.977538 0.0660763i
\(64\) 3.27659e13 + 1.28193e13i 0.931263 + 0.364346i
\(65\) 1.98686e13i 0.502708i
\(66\) −4.65154e13 1.73865e13i −1.04958 0.392313i
\(67\) 7.11776e13i 1.43477i −0.696677 0.717385i \(-0.745339\pi\)
0.696677 0.717385i \(-0.254661\pi\)
\(68\) −2.58355e13 1.95551e13i −0.466014 0.352731i
\(69\) 7.98905e12 7.46727e12i 0.129160 0.120724i
\(70\) 5.72238e13 + 1.15081e14i 0.830503 + 1.67020i
\(71\) −4.18952e13 −0.546672 −0.273336 0.961919i \(-0.588127\pi\)
−0.273336 + 0.961919i \(0.588127\pi\)
\(72\) 2.13834e13 8.23827e13i 0.251236 0.967926i
\(73\) 1.11208e14 1.17819 0.589093 0.808065i \(-0.299485\pi\)
0.589093 + 0.808065i \(0.299485\pi\)
\(74\) −2.38040e13 4.78715e13i −0.227726 0.457972i
\(75\) 2.21645e14 2.07169e14i 1.91734 1.79211i
\(76\) −1.62693e12 1.23144e12i −0.0127429 0.00964521i
\(77\) 1.54603e14i 1.09784i
\(78\) 3.83713e13 + 1.43424e13i 0.247341 + 0.0924512i
\(79\) 1.98903e14i 1.16530i 0.812722 + 0.582651i \(0.197985\pi\)
−0.812722 + 0.582651i \(0.802015\pi\)
\(80\) −3.43690e14 + 9.69635e13i −1.83228 + 0.516932i
\(81\) −2.04018e14 2.77077e13i −0.990903 0.134574i
\(82\) −2.43111e14 + 1.20886e14i −1.07696 + 0.535518i
\(83\) 1.29134e14 0.522344 0.261172 0.965292i \(-0.415891\pi\)
0.261172 + 0.965292i \(0.415891\pi\)
\(84\) −2.63559e14 + 2.74409e13i −0.974501 + 0.101462i
\(85\) 3.28864e14 1.11269
\(86\) 4.36222e14 2.16910e14i 1.35198 0.672268i
\(87\) −7.99869e13 8.55761e13i −0.227313 0.243197i
\(88\) −4.22124e14 7.96367e13i −1.10108 0.207727i
\(89\) 1.60087e14i 0.383646i 0.981430 + 0.191823i \(0.0614399\pi\)
−0.981430 + 0.191823i \(0.938560\pi\)
\(90\) 3.31582e14 + 7.97683e14i 0.730757 + 1.75797i
\(91\) 1.27535e14i 0.258713i
\(92\) 5.70914e13 7.54270e13i 0.106699 0.140967i
\(93\) −1.28605e14 1.37591e14i −0.221633 0.237120i
\(94\) 3.58983e14 + 7.21940e14i 0.570972 + 1.14826i
\(95\) 2.07095e13 0.0304258
\(96\) 6.08361e13 7.33747e14i 0.0826280 0.996580i
\(97\) −1.03196e15 −1.29681 −0.648405 0.761296i \(-0.724563\pi\)
−0.648405 + 0.761296i \(0.724563\pi\)
\(98\) −1.53258e13 3.08212e13i −0.0178331 0.0358636i
\(99\) −7.00811e13 + 1.03678e15i −0.0755678 + 1.11796i
\(100\) 1.58392e15 2.09261e15i 1.58392 2.09261i
\(101\) 5.16077e14i 0.478965i 0.970901 + 0.239483i \(0.0769779\pi\)
−0.970901 + 0.239483i \(0.923022\pi\)
\(102\) −2.37395e14 + 6.35120e14i −0.204630 + 0.547462i
\(103\) 3.00999e14i 0.241149i −0.992704 0.120574i \(-0.961526\pi\)
0.992704 0.120574i \(-0.0384736\pi\)
\(104\) 3.48217e14 + 6.56936e13i 0.259478 + 0.0489523i
\(105\) 1.96482e15 1.83649e15i 1.36271 1.27371i
\(106\) 5.89067e14 2.92912e14i 0.380514 0.189210i
\(107\) −3.15916e15 −1.90192 −0.950961 0.309310i \(-0.899902\pi\)
−0.950961 + 0.309310i \(0.899902\pi\)
\(108\) −1.77989e15 + 6.45513e13i −0.999343 + 0.0362432i
\(109\) −1.49688e15 −0.784313 −0.392156 0.919899i \(-0.628271\pi\)
−0.392156 + 0.919899i \(0.628271\pi\)
\(110\) 3.90395e15 1.94123e15i 1.91011 0.949800i
\(111\) −8.17327e14 + 7.63945e14i −0.373657 + 0.349253i
\(112\) −2.20612e15 + 6.22401e14i −0.942960 + 0.266033i
\(113\) 2.24823e15i 0.898987i −0.893284 0.449493i \(-0.851605\pi\)
0.893284 0.449493i \(-0.148395\pi\)
\(114\) −1.49494e13 + 3.99953e13i −0.00559549 + 0.0149700i
\(115\) 9.60121e14i 0.336583i
\(116\) −8.07949e14 6.11545e14i −0.265429 0.200906i
\(117\) 5.78110e13 8.55260e14i 0.0178080 0.263454i
\(118\) −1.75100e15 3.52139e15i −0.506025 1.01765i
\(119\) 2.11095e15 0.572632
\(120\) 4.00222e15 + 6.31067e15i 1.01963 + 1.60774i
\(121\) 1.06744e15 0.255536
\(122\) 2.63171e14 + 5.29256e14i 0.0592297 + 0.119115i
\(123\) 3.87963e15 + 4.15072e15i 0.821300 + 0.878689i
\(124\) −1.29904e15 9.83256e14i −0.258797 0.195886i
\(125\) 1.64876e16i 3.09267i
\(126\) 2.12840e15 + 5.12026e15i 0.376075 + 0.904718i
\(127\) 3.71906e15i 0.619305i −0.950850 0.309653i \(-0.899787\pi\)
0.950850 0.309653i \(-0.100213\pi\)
\(128\) −5.63006e14 6.34412e15i −0.0883972 0.996085i
\(129\) −6.96134e15 7.44777e15i −1.03103 1.10307i
\(130\) −3.22043e15 + 1.60135e15i −0.450130 + 0.223827i
\(131\) −4.77701e15 −0.630407 −0.315204 0.949024i \(-0.602073\pi\)
−0.315204 + 0.949024i \(0.602073\pi\)
\(132\) 9.30891e14 + 8.94083e15i 0.116036 + 1.11448i
\(133\) 1.32932e14 0.0156583
\(134\) −1.15369e16 + 5.73672e15i −1.28471 + 0.638818i
\(135\) 1.40087e16 1.14250e16i 1.47535 1.20325i
\(136\) −1.08736e15 + 5.76367e15i −0.108350 + 0.574325i
\(137\) 5.77103e14i 0.0544313i −0.999630 0.0272157i \(-0.991336\pi\)
0.999630 0.0272157i \(-0.00866409\pi\)
\(138\) −1.85424e15 6.93078e14i −0.165605 0.0618997i
\(139\) 8.39263e15i 0.710047i −0.934857 0.355023i \(-0.884473\pi\)
0.934857 0.355023i \(-0.115527\pi\)
\(140\) 1.40410e16 1.85504e16i 1.12574 1.48728i
\(141\) 1.23259e16 1.15209e16i 0.936864 0.875675i
\(142\) 3.37664e15 + 6.79066e15i 0.243401 + 0.489496i
\(143\) −4.32642e15 −0.295875
\(144\) −1.50766e16 + 3.17386e15i −0.978552 + 0.206001i
\(145\) 1.02845e16 0.633758
\(146\) −8.96305e15 1.80253e16i −0.524577 1.05496i
\(147\) −5.26222e14 + 4.91853e14i −0.0292610 + 0.0273499i
\(148\) −5.84079e15 + 7.71662e15i −0.308680 + 0.407816i
\(149\) 1.81929e16i 0.914122i 0.889435 + 0.457061i \(0.151098\pi\)
−0.889435 + 0.457061i \(0.848902\pi\)
\(150\) −5.14432e16 1.92284e16i −2.45835 0.918882i
\(151\) 9.74788e15i 0.443183i 0.975140 + 0.221591i \(0.0711251\pi\)
−0.975140 + 0.221591i \(0.928875\pi\)
\(152\) −6.84739e13 + 3.62955e14i −0.00296277 + 0.0157045i
\(153\) 1.41562e16 + 9.56885e14i 0.583125 + 0.0394161i
\(154\) 2.50591e16 1.24606e16i 0.983016 0.488803i
\(155\) 1.65357e16 0.617922
\(156\) −7.67907e14 7.37543e15i −0.0273448 0.262635i
\(157\) 5.74704e15 0.195073 0.0975364 0.995232i \(-0.468904\pi\)
0.0975364 + 0.995232i \(0.468904\pi\)
\(158\) 3.22396e16 1.60311e16i 1.04342 0.518841i
\(159\) −9.40048e15 1.00574e16i −0.290183 0.310460i
\(160\) 4.34169e16 + 4.78925e16i 1.27867 + 1.41048i
\(161\) 6.16294e15i 0.173218i
\(162\) 1.19523e16 + 3.53018e16i 0.320692 + 0.947184i
\(163\) 3.06599e15i 0.0785533i −0.999228 0.0392766i \(-0.987495\pi\)
0.999228 0.0392766i \(-0.0125054\pi\)
\(164\) 3.91882e16 + 2.96619e16i 0.959016 + 0.725889i
\(165\) −6.23002e16 6.66535e16i −1.45667 1.55845i
\(166\) −1.04079e16 2.09310e16i −0.232569 0.467712i
\(167\) −6.03839e16 −1.28987 −0.644937 0.764236i \(-0.723116\pi\)
−0.644937 + 0.764236i \(0.723116\pi\)
\(168\) 2.56899e16 + 4.05077e16i 0.524738 + 0.827404i
\(169\) −4.76170e16 −0.930275
\(170\) −2.65055e16 5.33044e16i −0.495415 0.996314i
\(171\) 8.91457e14 + 6.02577e13i 0.0159452 + 0.00107781i
\(172\) −7.03166e16 5.32234e16i −1.20391 0.911253i
\(173\) 5.54209e16i 0.908506i 0.890873 + 0.454253i \(0.150094\pi\)
−0.890873 + 0.454253i \(0.849906\pi\)
\(174\) −7.42402e15 + 1.98620e16i −0.116552 + 0.311820i
\(175\) 1.70982e17i 2.57137i
\(176\) 2.11140e16 + 7.48392e16i 0.304247 + 1.07841i
\(177\) −6.01219e16 + 5.61952e16i −0.830297 + 0.776068i
\(178\) 2.59479e16 1.29026e16i 0.343520 0.170815i
\(179\) 3.27220e16 0.415377 0.207688 0.978195i \(-0.433406\pi\)
0.207688 + 0.978195i \(0.433406\pi\)
\(180\) 1.02569e17 1.18036e17i 1.24874 1.43705i
\(181\) 8.38904e16 0.979767 0.489884 0.871788i \(-0.337039\pi\)
0.489884 + 0.871788i \(0.337039\pi\)
\(182\) −2.06717e16 + 1.02789e16i −0.231654 + 0.115190i
\(183\) 9.03617e15 8.44599e15i 0.0971855 0.0908380i
\(184\) −1.68271e16 3.17455e15i −0.173730 0.0327755i
\(185\) 9.82260e16i 0.973730i
\(186\) −1.19365e16 + 3.19346e16i −0.113640 + 0.304029i
\(187\) 7.16108e16i 0.654887i
\(188\) 8.80837e16 1.16373e17i 0.773948 1.02251i
\(189\) 8.99210e16 7.33364e16i 0.759272 0.619236i
\(190\) −1.66913e15 3.35673e15i −0.0135468 0.0272436i
\(191\) −1.70177e17 −1.32786 −0.663929 0.747795i \(-0.731112\pi\)
−0.663929 + 0.747795i \(0.731112\pi\)
\(192\) −1.23834e17 + 4.92773e16i −0.929138 + 0.369733i
\(193\) 8.40790e16 0.606747 0.303374 0.952872i \(-0.401887\pi\)
0.303374 + 0.952872i \(0.401887\pi\)
\(194\) 8.31734e16 + 1.67267e17i 0.577393 + 1.16118i
\(195\) 5.13924e16 + 5.49835e16i 0.343273 + 0.367260i
\(196\) −3.76049e15 + 4.96821e15i −0.0241726 + 0.0319359i
\(197\) 5.07424e16i 0.313960i −0.987602 0.156980i \(-0.949824\pi\)
0.987602 0.156980i \(-0.0501758\pi\)
\(198\) 1.73697e17 7.22028e16i 1.03468 0.430096i
\(199\) 3.13880e17i 1.80039i −0.435490 0.900193i \(-0.643425\pi\)
0.435490 0.900193i \(-0.356575\pi\)
\(200\) −4.66844e17 8.80734e16i −2.57897 0.486541i
\(201\) 1.84109e17 + 1.96974e17i 0.979727 + 1.04819i
\(202\) 8.36492e16 4.15944e16i 0.428871 0.213255i
\(203\) 6.60154e16 0.326156
\(204\) 1.22078e17 1.27104e16i 0.581314 0.0605246i
\(205\) −4.98832e17 −2.28982
\(206\) −4.87878e16 + 2.42597e16i −0.215927 + 0.107369i
\(207\) −2.79364e15 + 4.13293e16i −0.0119232 + 0.176393i
\(208\) −1.74173e16 6.17360e16i −0.0716977 0.254135i
\(209\) 4.50953e15i 0.0179075i
\(210\) −4.56030e17 1.70455e17i −1.74722 0.653077i
\(211\) 9.66301e16i 0.357268i −0.983916 0.178634i \(-0.942832\pi\)
0.983916 0.178634i \(-0.0571678\pi\)
\(212\) −9.49544e16 7.18720e16i −0.338841 0.256472i
\(213\) 1.15939e17 1.08367e17i 0.399378 0.373293i
\(214\) 2.54619e17 + 5.12057e17i 0.846814 + 1.70300i
\(215\) 8.95071e17 2.87454
\(216\) 1.53917e17 + 2.83293e17i 0.477401 + 0.878685i
\(217\) 1.06141e17 0.318006
\(218\) 1.20645e17 + 2.42625e17i 0.349208 + 0.702282i
\(219\) −3.07753e17 + 2.87652e17i −0.860738 + 0.804521i
\(220\) −6.29295e17 4.76320e17i −1.70092 1.28744i
\(221\) 5.90728e16i 0.154328i
\(222\) 1.89700e17 + 7.09059e16i 0.479092 + 0.179075i
\(223\) 5.01664e17i 1.22497i −0.790481 0.612487i \(-0.790169\pi\)
0.790481 0.612487i \(-0.209831\pi\)
\(224\) 2.78690e17 + 3.07418e17i 0.658053 + 0.725888i
\(225\) −7.75055e16 + 1.14662e18i −0.176996 + 2.61849i
\(226\) −3.64409e17 + 1.81202e17i −0.804962 + 0.400266i
\(227\) −4.52676e16 −0.0967371 −0.0483686 0.998830i \(-0.515402\pi\)
−0.0483686 + 0.998830i \(0.515402\pi\)
\(228\) 7.68758e15 8.00407e14i 0.0158957 0.00165501i
\(229\) 8.67256e17 1.73533 0.867663 0.497153i \(-0.165621\pi\)
0.867663 + 0.497153i \(0.165621\pi\)
\(230\) 1.55623e17 7.73832e16i 0.301380 0.149861i
\(231\) −3.99900e17 4.27844e17i −0.749655 0.802038i
\(232\) −3.40048e16 + 1.80247e17i −0.0617135 + 0.327120i
\(233\) 9.66442e17i 1.69827i −0.528178 0.849134i \(-0.677124\pi\)
0.528178 0.849134i \(-0.322876\pi\)
\(234\) −1.43286e17 + 5.95612e16i −0.243828 + 0.101355i
\(235\) 1.48133e18i 2.44142i
\(236\) −4.29644e17 + 5.67628e17i −0.685912 + 0.906200i
\(237\) −5.14487e17 5.50438e17i −0.795723 0.851325i
\(238\) −1.70137e17 3.42157e17i −0.254959 0.512741i
\(239\) −3.69115e17 −0.536015 −0.268008 0.963417i \(-0.586365\pi\)
−0.268008 + 0.963417i \(0.586365\pi\)
\(240\) 7.00307e17 1.15733e18i 0.985608 1.62882i
\(241\) −8.78718e17 −1.19873 −0.599365 0.800475i \(-0.704580\pi\)
−0.599365 + 0.800475i \(0.704580\pi\)
\(242\) −8.60324e16 1.73017e17i −0.113775 0.228809i
\(243\) 6.36262e17 4.51040e17i 0.815810 0.578320i
\(244\) 6.45744e16 8.53131e16i 0.0802854 0.106070i
\(245\) 6.32412e16i 0.0762525i
\(246\) 3.60089e17 9.63373e17i 0.421111 1.12663i
\(247\) 3.71998e15i 0.00422001i
\(248\) −5.46737e16 + 2.89805e17i −0.0601715 + 0.318946i
\(249\) −3.57362e17 + 3.34022e17i −0.381604 + 0.356681i
\(250\) 2.67242e18 1.32886e18i 2.76921 1.37698i
\(251\) −7.88585e17 −0.793041 −0.396521 0.918026i \(-0.629782\pi\)
−0.396521 + 0.918026i \(0.629782\pi\)
\(252\) 6.58383e17 7.57665e17i 0.642650 0.739559i
\(253\) 2.09069e17 0.198100
\(254\) −6.02809e17 + 2.99746e17i −0.554533 + 0.275740i
\(255\) −9.10085e17 + 8.50645e17i −0.812888 + 0.759796i
\(256\) −9.82920e17 + 6.02574e17i −0.852547 + 0.522650i
\(257\) 1.65283e18i 1.39229i −0.717902 0.696144i \(-0.754898\pi\)
0.717902 0.696144i \(-0.245102\pi\)
\(258\) −6.46120e17 + 1.72861e18i −0.528646 + 1.41433i
\(259\) 6.30505e17i 0.501118i
\(260\) 5.19115e17 + 3.92924e17i 0.400833 + 0.303395i
\(261\) 4.42706e17 + 2.99245e16i 0.332133 + 0.0224504i
\(262\) 3.85014e17 + 7.74289e17i 0.280683 + 0.564474i
\(263\) −1.84436e18 −1.30670 −0.653352 0.757055i \(-0.726638\pi\)
−0.653352 + 0.757055i \(0.726638\pi\)
\(264\) 1.37416e18 8.71491e17i 0.946255 0.600114i
\(265\) 1.20869e18 0.809041
\(266\) −1.07140e16 2.15466e16i −0.00697170 0.0140206i
\(267\) −4.14084e17 4.43018e17i −0.261971 0.280277i
\(268\) 1.85969e18 + 1.40762e18i 1.14401 + 0.865913i
\(269\) 2.08695e18i 1.24844i 0.781247 + 0.624222i \(0.214584\pi\)
−0.781247 + 0.624222i \(0.785416\pi\)
\(270\) −2.98091e18 1.34980e18i −1.73429 0.785312i
\(271\) 1.61672e18i 0.914881i 0.889240 + 0.457441i \(0.151234\pi\)
−0.889240 + 0.457441i \(0.848766\pi\)
\(272\) 1.02185e18 2.88290e17i 0.562499 0.158695i
\(273\) 3.29884e17 + 3.52935e17i 0.176661 + 0.189006i
\(274\) −9.35407e16 + 4.65129e16i −0.0487384 + 0.0242351i
\(275\) 5.80031e18 2.94073
\(276\) 3.71081e16 + 3.56408e17i 0.0183084 + 0.175845i
\(277\) −3.16017e18 −1.51744 −0.758720 0.651416i \(-0.774175\pi\)
−0.758720 + 0.651416i \(0.774175\pi\)
\(278\) −1.36033e18 + 6.76423e17i −0.635783 + 0.316142i
\(279\) 7.11793e17 + 4.81134e16i 0.323834 + 0.0218894i
\(280\) −4.13844e18 7.80746e17i −1.83295 0.345800i
\(281\) 5.35688e17i 0.231001i −0.993307 0.115501i \(-0.963153\pi\)
0.993307 0.115501i \(-0.0368472\pi\)
\(282\) −2.86082e18 1.06932e18i −1.20122 0.448992i
\(283\) 2.43367e18i 0.995094i 0.867437 + 0.497547i \(0.165766\pi\)
−0.867437 + 0.497547i \(0.834234\pi\)
\(284\) 8.28527e17 1.09462e18i 0.329928 0.435888i
\(285\) −5.73106e16 + 5.35675e16i −0.0222279 + 0.0207761i
\(286\) 3.48698e17 + 7.01255e17i 0.131736 + 0.264930i
\(287\) −3.20196e18 −1.17843
\(288\) 1.72957e18 + 2.18791e18i 0.620147 + 0.784486i
\(289\) 1.88465e18 0.658411
\(290\) −8.28903e17 1.66698e18i −0.282175 0.567474i
\(291\) 2.85582e18 2.66930e18i 0.947399 0.885522i
\(292\) −2.19926e18 + 2.90558e18i −0.711060 + 0.939424i
\(293\) 3.69904e18i 1.16569i 0.812585 + 0.582843i \(0.198060\pi\)
−0.812585 + 0.582843i \(0.801940\pi\)
\(294\) 1.22135e17 + 4.56516e16i 0.0375176 + 0.0140233i
\(295\) 7.22543e18i 2.16371i
\(296\) 1.72151e18 + 3.24775e17i 0.502600 + 0.0948190i
\(297\) −2.48783e18 3.05043e18i −0.708186 0.868337i
\(298\) 2.94882e18 1.46629e18i 0.818514 0.407005i
\(299\) −1.72464e17 −0.0466836
\(300\) 1.02951e18 + 9.88802e18i 0.271782 + 2.61036i
\(301\) 5.74539e18 1.47935
\(302\) 1.58000e18 7.85652e17i 0.396831 0.197323i
\(303\) −1.33490e18 1.42817e18i −0.327060 0.349914i
\(304\) 6.43489e16 1.81544e16i 0.0153812 0.00433941i
\(305\) 1.08596e18i 0.253260i
\(306\) −9.85855e17 2.37166e18i −0.224338 0.539686i
\(307\) 2.87107e18i 0.637537i −0.947833 0.318769i \(-0.896731\pi\)
0.947833 0.318769i \(-0.103269\pi\)
\(308\) −4.03939e18 3.05746e18i −0.875358 0.662568i
\(309\) 7.78569e17 + 8.32973e17i 0.164668 + 0.176174i
\(310\) −1.33273e18 2.68021e18i −0.275125 0.553294i
\(311\) 2.84259e18 0.572812 0.286406 0.958108i \(-0.407539\pi\)
0.286406 + 0.958108i \(0.407539\pi\)
\(312\) −1.13357e18 + 7.18907e17i −0.222991 + 0.141421i
\(313\) −2.40172e18 −0.461254 −0.230627 0.973042i \(-0.574078\pi\)
−0.230627 + 0.973042i \(0.574078\pi\)
\(314\) −4.63196e17 9.31518e17i −0.0868545 0.174670i
\(315\) −6.87064e17 + 1.01645e19i −0.125796 + 1.86104i
\(316\) −5.19684e18 3.93354e18i −0.929151 0.703284i
\(317\) 9.18122e17i 0.160308i −0.996782 0.0801541i \(-0.974459\pi\)
0.996782 0.0801541i \(-0.0255412\pi\)
\(318\) −8.72510e17 + 2.33429e18i −0.148788 + 0.398062i
\(319\) 2.23947e18i 0.373006i
\(320\) 4.26345e18 1.08973e19i 0.693644 1.77294i
\(321\) 8.74254e18 8.17154e18i 1.38947 1.29872i
\(322\) 9.98930e17 4.96716e17i 0.155102 0.0771240i
\(323\) −6.15730e16 −0.00934053
\(324\) 4.75863e18 4.78253e18i 0.705333 0.708876i
\(325\) −4.78476e18 −0.693003
\(326\) −4.96957e17 + 2.47111e17i −0.0703374 + 0.0349752i
\(327\) 4.14242e18 3.87187e18i 0.572989 0.535565i
\(328\) 1.64934e18 8.74255e18i 0.222976 1.18191i
\(329\) 9.50851e18i 1.25644i
\(330\) −5.78242e18 + 1.54701e19i −0.746887 + 1.99820i
\(331\) 1.34144e19i 1.69380i 0.531750 + 0.846902i \(0.321535\pi\)
−0.531750 + 0.846902i \(0.678465\pi\)
\(332\) −2.55378e18 + 3.37396e18i −0.315245 + 0.416490i
\(333\) 2.85805e17 4.22823e18i 0.0344936 0.510301i
\(334\) 4.86677e18 + 9.78742e18i 0.574305 + 1.15497i
\(335\) −2.36723e19 −2.73152
\(336\) 4.49521e18 7.42880e18i 0.507231 0.838251i
\(337\) −1.44132e19 −1.59051 −0.795255 0.606275i \(-0.792663\pi\)
−0.795255 + 0.606275i \(0.792663\pi\)
\(338\) 3.83780e18 + 7.71807e18i 0.414197 + 0.832978i
\(339\) 5.81533e18 + 6.22168e18i 0.613870 + 0.656765i
\(340\) −6.50366e18 + 8.59238e18i −0.671531 + 0.887200i
\(341\) 3.60068e18i 0.363686i
\(342\) −6.20821e16 1.49350e17i −0.00613437 0.0147574i
\(343\) 1.05411e19i 1.01901i
\(344\) −2.95947e18 + 1.56870e19i −0.279915 + 1.48372i
\(345\) −2.48347e18 2.65701e18i −0.229835 0.245895i
\(346\) 8.98298e18 4.46677e18i 0.813486 0.404504i
\(347\) 5.85580e17 0.0518937 0.0259469 0.999663i \(-0.491740\pi\)
0.0259469 + 0.999663i \(0.491740\pi\)
\(348\) 3.81772e18 3.97489e17i 0.331101 0.0344732i
\(349\) −2.20097e18 −0.186820 −0.0934100 0.995628i \(-0.529777\pi\)
−0.0934100 + 0.995628i \(0.529777\pi\)
\(350\) 2.77139e19 1.37807e19i 2.30243 1.14488i
\(351\) 2.05225e18 + 2.51635e18i 0.166889 + 0.204629i
\(352\) 1.04287e19 9.45414e18i 0.830157 0.752579i
\(353\) 2.05266e19i 1.59958i 0.600280 + 0.799790i \(0.295056\pi\)
−0.600280 + 0.799790i \(0.704944\pi\)
\(354\) 1.39542e19 + 5.21578e18i 1.06458 + 0.397919i
\(355\) 1.39335e19i 1.04076i
\(356\) −4.18266e18 3.16590e18i −0.305899 0.231538i
\(357\) −5.84176e18 + 5.46022e18i −0.418343 + 0.391020i
\(358\) −2.63731e18 5.30380e18i −0.184943 0.371933i
\(359\) 1.21071e19 0.831440 0.415720 0.909493i \(-0.363530\pi\)
0.415720 + 0.909493i \(0.363530\pi\)
\(360\) −2.73989e19 7.11170e18i −1.84274 0.478305i
\(361\) 1.51772e19 0.999745
\(362\) −6.76134e18 1.35975e19i −0.436233 0.877294i
\(363\) −2.95398e18 + 2.76105e18i −0.186685 + 0.174492i
\(364\) 3.33216e18 + 2.52215e18i 0.206284 + 0.156138i
\(365\) 3.69856e19i 2.24304i
\(366\) −2.09727e18 7.83919e17i −0.124608 0.0465761i
\(367\) 6.43775e18i 0.374747i 0.982289 + 0.187374i \(0.0599975\pi\)
−0.982289 + 0.187374i \(0.940002\pi\)
\(368\) 8.41667e17 + 2.98331e18i 0.0480045 + 0.170153i
\(369\) −2.14727e19 1.45144e18i −1.20002 0.0811149i
\(370\) −1.59211e19 + 7.91675e18i −0.871888 + 0.433545i
\(371\) 7.75848e18 0.416363
\(372\) 6.13822e18 6.39093e17i 0.322828 0.0336118i
\(373\) 1.96745e19 1.01412 0.507058 0.861912i \(-0.330733\pi\)
0.507058 + 0.861912i \(0.330733\pi\)
\(374\) −1.16071e19 + 5.77163e18i −0.586393 + 0.291583i
\(375\) −4.26472e19 4.56273e19i −2.11182 2.25938i
\(376\) −2.59618e19 4.89787e18i −1.26016 0.237738i
\(377\) 1.84738e18i 0.0879013i
\(378\) −1.91342e19 8.66427e18i −0.892530 0.404151i
\(379\) 8.39709e18i 0.384003i −0.981395 0.192002i \(-0.938502\pi\)
0.981395 0.192002i \(-0.0614979\pi\)
\(380\) −4.09554e17 + 5.41086e17i −0.0183626 + 0.0242599i
\(381\) 9.61978e18 + 1.02920e19i 0.422891 + 0.452441i
\(382\) 1.37158e19 + 2.75835e19i 0.591217 + 1.18898i
\(383\) −7.98322e18 −0.337433 −0.168716 0.985665i \(-0.553962\pi\)
−0.168716 + 0.985665i \(0.553962\pi\)
\(384\) 1.79679e19 + 1.61002e19i 0.744753 + 0.667340i
\(385\) 5.14181e19 2.09007
\(386\) −6.77654e18 1.36281e19i −0.270149 0.543288i
\(387\) 3.85291e19 + 2.60436e18i 1.50646 + 0.101828i
\(388\) 2.04083e19 2.69626e19i 0.782651 1.03401i
\(389\) 2.98387e18i 0.112242i 0.998424 + 0.0561212i \(0.0178733\pi\)
−0.998424 + 0.0561212i \(0.982127\pi\)
\(390\) 4.77001e18 1.27615e19i 0.176009 0.470889i
\(391\) 2.85462e18i 0.103329i
\(392\) 1.10837e18 + 2.09101e17i 0.0393584 + 0.00742525i
\(393\) 1.32197e19 1.23563e19i 0.460552 0.430472i
\(394\) −8.22466e18 + 4.08970e18i −0.281123 + 0.139788i
\(395\) 6.61514e19 2.21851
\(396\) −2.57026e19 2.23347e19i −0.845793 0.734963i
\(397\) −4.83928e19 −1.56262 −0.781308 0.624146i \(-0.785447\pi\)
−0.781308 + 0.624146i \(0.785447\pi\)
\(398\) −5.08758e19 + 2.52979e19i −1.61209 + 0.801606i
\(399\) −3.67872e17 + 3.43845e17i −0.0114393 + 0.0106922i
\(400\) 2.33508e19 + 8.27677e19i 0.712611 + 2.52587i
\(401\) 2.99456e19i 0.896912i 0.893805 + 0.448456i \(0.148026\pi\)
−0.893805 + 0.448456i \(0.851974\pi\)
\(402\) 1.70882e19 4.57172e19i 0.502343 1.34395i
\(403\) 2.97026e18i 0.0857050i
\(404\) −1.34838e19 1.02060e19i −0.381902 0.289065i
\(405\) −9.21504e18 + 6.78525e19i −0.256203 + 1.88649i
\(406\) −5.32066e18 1.07002e19i −0.145218 0.292043i
\(407\) −2.13889e19 −0.573101
\(408\) −1.18993e19 1.87628e19i −0.313019 0.493566i
\(409\) −7.20143e19 −1.85992 −0.929960 0.367662i \(-0.880158\pi\)
−0.929960 + 0.367662i \(0.880158\pi\)
\(410\) 4.02045e19 + 8.08540e19i 1.01952 + 2.05033i
\(411\) 1.49275e18 + 1.59705e18i 0.0371683 + 0.0397655i
\(412\) 7.86433e18 + 5.95260e18i 0.192279 + 0.145538i
\(413\) 4.63795e19i 1.11353i
\(414\) 6.92409e18 2.87822e18i 0.163253 0.0678611i
\(415\) 4.29476e19i 0.994440i
\(416\) −8.60280e18 + 7.79886e18i −0.195632 + 0.177350i
\(417\) 2.17085e19 + 2.32255e19i 0.484853 + 0.518733i
\(418\) −7.30935e17 + 3.63456e17i −0.0160345 + 0.00797314i
\(419\) −3.80628e17 −0.00820153 −0.00410077 0.999992i \(-0.501305\pi\)
−0.00410077 + 0.999992i \(0.501305\pi\)
\(420\) 9.12631e18 + 8.76545e19i 0.193164 + 1.85526i
\(421\) 4.05803e19 0.843723 0.421861 0.906660i \(-0.361377\pi\)
0.421861 + 0.906660i \(0.361377\pi\)
\(422\) −1.56625e19 + 7.78812e18i −0.319902 + 0.159070i
\(423\) −4.31017e18 + 6.37650e19i −0.0864852 + 1.27947i
\(424\) −3.99642e18 + 2.11835e19i −0.0787821 + 0.417594i
\(425\) 7.91972e19i 1.53389i
\(426\) −2.69092e19 1.00581e19i −0.512070 0.191401i
\(427\) 6.97071e18i 0.130337i
\(428\) 6.24760e19 8.25408e19i 1.14785 1.51649i
\(429\) 1.19728e19 1.11908e19i 0.216155 0.202037i
\(430\) −7.21403e19 1.45079e20i −1.27987 2.57390i
\(431\) −7.50201e19 −1.30797 −0.653985 0.756507i \(-0.726904\pi\)
−0.653985 + 0.756507i \(0.726904\pi\)
\(432\) 3.35128e19 4.77806e19i 0.574226 0.818697i
\(433\) −2.37173e19 −0.399398 −0.199699 0.979857i \(-0.563996\pi\)
−0.199699 + 0.979857i \(0.563996\pi\)
\(434\) −8.55468e18 1.72041e19i −0.141589 0.284746i
\(435\) −2.84610e19 + 2.66021e19i −0.462999 + 0.432760i
\(436\) 2.96026e19 3.91098e19i 0.473349 0.625370i
\(437\) 1.79763e17i 0.00282546i
\(438\) 7.14286e19 + 2.66986e19i 1.10361 + 0.412508i
\(439\) 2.67499e19i 0.406292i 0.979148 + 0.203146i \(0.0651166\pi\)
−0.979148 + 0.203146i \(0.934883\pi\)
\(440\) −2.64856e19 + 1.40390e20i −0.395472 + 2.09625i
\(441\) 1.84011e17 2.72227e18i 0.00270119 0.0399615i
\(442\) 9.57492e18 4.76111e18i 0.138187 0.0687134i
\(443\) 7.12928e19 1.01162 0.505810 0.862645i \(-0.331194\pi\)
0.505810 + 0.862645i \(0.331194\pi\)
\(444\) −3.79637e18 3.64626e19i −0.0529659 0.508716i
\(445\) 5.32418e19 0.730386
\(446\) −8.13131e19 + 4.04328e19i −1.09685 + 0.545409i
\(447\) −4.70580e19 5.03463e19i −0.624205 0.667822i
\(448\) 2.73668e19 6.99490e19i 0.356975 0.912423i
\(449\) 1.27554e19i 0.163623i 0.996648 + 0.0818117i \(0.0260706\pi\)
−0.996648 + 0.0818117i \(0.973929\pi\)
\(450\) 1.92099e20 7.98520e19i 2.42343 1.00738i
\(451\) 1.08622e20i 1.34770i
\(452\) 5.87407e19 + 4.44614e19i 0.716805 + 0.542557i
\(453\) −2.52141e19 2.69759e19i −0.302626 0.323772i
\(454\) 3.64844e18 + 7.33727e18i 0.0430714 + 0.0866195i
\(455\) −4.24156e19 −0.492538
\(456\) −7.49333e17 1.18154e18i −0.00855931 0.0134963i
\(457\) 2.66760e19 0.299743 0.149871 0.988705i \(-0.452114\pi\)
0.149871 + 0.988705i \(0.452114\pi\)
\(458\) −6.98985e19 1.40571e20i −0.772639 1.55383i
\(459\) −4.16505e19 + 3.39687e19i −0.452924 + 0.369389i
\(460\) −2.50856e19 1.89875e19i −0.268374 0.203135i
\(461\) 1.34446e18i 0.0141511i −0.999975 0.00707554i \(-0.997748\pi\)
0.999975 0.00707554i \(-0.00225223\pi\)
\(462\) −3.71169e19 + 9.93015e19i −0.384376 + 1.02835i
\(463\) 1.41938e20i 1.44624i −0.690722 0.723121i \(-0.742707\pi\)
0.690722 0.723121i \(-0.257293\pi\)
\(464\) 3.19563e19 9.01566e18i 0.320384 0.0903884i
\(465\) −4.57602e19 + 4.27715e19i −0.451430 + 0.421946i
\(466\) −1.56647e20 + 7.78926e19i −1.52065 + 0.756139i
\(467\) −6.40618e19 −0.611959 −0.305980 0.952038i \(-0.598984\pi\)
−0.305980 + 0.952038i \(0.598984\pi\)
\(468\) 2.12025e19 + 1.84242e19i 0.199317 + 0.173199i
\(469\) −1.51950e20 −1.40574
\(470\) 2.40103e20 1.19391e20i 2.18607 1.08702i
\(471\) −1.59042e19 + 1.48654e19i −0.142513 + 0.133205i
\(472\) 1.26633e20 + 2.38902e19i 1.11682 + 0.210696i
\(473\) 1.94904e20i 1.69185i
\(474\) −4.77523e19 + 1.27755e20i −0.407997 + 1.09154i
\(475\) 4.98727e18i 0.0419431i
\(476\) −4.17465e19 + 5.51538e19i −0.345595 + 0.456586i
\(477\) 5.20291e19 + 3.51689e18i 0.423993 + 0.0286596i
\(478\) 2.97497e19 + 5.98286e19i 0.238656 + 0.479954i
\(479\) 2.46473e20 1.94649 0.973245 0.229770i \(-0.0737973\pi\)
0.973245 + 0.229770i \(0.0737973\pi\)
\(480\) −2.44030e20 2.02329e19i −1.89729 0.157307i
\(481\) 1.76441e19 0.135055
\(482\) 7.08223e19 + 1.42428e20i 0.533724 + 1.07336i
\(483\) −1.59412e19 1.70551e19i −0.118282 0.126547i
\(484\) −2.11098e19 + 2.78894e19i −0.154221 + 0.203751i
\(485\) 3.43211e20i 2.46887i
\(486\) −1.24389e20 6.67769e19i −0.881066 0.472993i
\(487\) 8.61209e19i 0.600677i −0.953833 0.300339i \(-0.902900\pi\)
0.953833 0.300339i \(-0.0970997\pi\)
\(488\) −1.90326e19 3.59064e18i −0.130722 0.0246617i
\(489\) 7.93056e18 + 8.48472e18i 0.0536398 + 0.0573880i
\(490\) −1.02505e19 + 5.09707e18i −0.0682773 + 0.0339508i
\(491\) −6.12023e18 −0.0401473 −0.0200737 0.999799i \(-0.506390\pi\)
−0.0200737 + 0.999799i \(0.506390\pi\)
\(492\) −1.85172e20 + 1.92795e19i −1.19629 + 0.124554i
\(493\) −3.05777e19 −0.194560
\(494\) 6.02959e17 2.99820e17i 0.00377864 0.00187892i
\(495\) 3.44815e20 + 2.33076e19i 2.12837 + 0.143866i
\(496\) 5.13800e19 1.44956e19i 0.312379 0.0881299i
\(497\) 8.94383e19i 0.535612i
\(498\) 8.29429e19 + 3.10024e19i 0.489282 + 0.182884i
\(499\) 2.61288e20i 1.51832i 0.650901 + 0.759162i \(0.274391\pi\)
−0.650901 + 0.759162i \(0.725609\pi\)
\(500\) −4.30780e20 3.26062e20i −2.46593 1.86649i
\(501\) 1.67104e20 1.56190e20i 0.942333 0.880786i
\(502\) 6.35578e19 + 1.27819e20i 0.353095 + 0.710098i
\(503\) −1.88131e20 −1.02968 −0.514839 0.857287i \(-0.672148\pi\)
−0.514839 + 0.857287i \(0.672148\pi\)
\(504\) −1.75871e20 4.56494e19i −0.948344 0.246154i
\(505\) 1.71637e20 0.911856
\(506\) −1.68504e19 3.38872e19i −0.0882023 0.177381i
\(507\) 1.31773e20 1.23167e20i 0.679623 0.635235i
\(508\) 9.71696e19 + 7.35486e19i 0.493802 + 0.373763i
\(509\) 2.95767e20i 1.48104i 0.672035 + 0.740520i \(0.265421\pi\)
−0.672035 + 0.740520i \(0.734579\pi\)
\(510\) 2.11229e20 + 7.89530e19i 1.04226 + 0.389576i
\(511\) 2.37408e20i 1.15435i
\(512\) 1.76890e20 + 1.10752e20i 0.847576 + 0.530675i
\(513\) −2.62285e18 + 2.13911e18i −0.0123849 + 0.0101007i
\(514\) −2.67901e20 + 1.33213e20i −1.24667 + 0.619904i
\(515\) −1.00106e20 −0.459100
\(516\) 3.32260e20 3.45939e19i 1.50178 0.156360i
\(517\) 3.22562e20 1.43693
\(518\) −1.02196e20 + 5.08170e19i −0.448707 + 0.223118i
\(519\) −1.43353e20 1.53370e20i −0.620370 0.663719i
\(520\) 2.18484e19 1.15810e20i 0.0931955 0.493994i
\(521\) 2.63757e20i 1.10897i −0.832193 0.554486i \(-0.812915\pi\)
0.832193 0.554486i \(-0.187085\pi\)
\(522\) −3.08305e19 7.41685e19i −0.127777 0.307391i
\(523\) 3.90384e20i 1.59489i −0.603395 0.797443i \(-0.706186\pi\)
0.603395 0.797443i \(-0.293814\pi\)
\(524\) 9.44709e19 1.24811e20i 0.380464 0.502654i
\(525\) −4.42265e20 4.73169e20i −1.75585 1.87855i
\(526\) 1.48650e20 + 2.98946e20i 0.581798 + 1.17004i
\(527\) −4.91635e19 −0.189698
\(528\) −2.52011e20 1.52493e20i −0.958660 0.580092i
\(529\) −2.58301e20 −0.968743
\(530\) −9.74171e19 1.95912e20i −0.360218 0.724424i
\(531\) 2.10236e19 3.11025e20i 0.0766476 1.13393i
\(532\) −2.62889e18 + 3.47319e18i −0.00945008 + 0.0124851i
\(533\) 8.96038e19i 0.317594i
\(534\) −3.84333e19 + 1.02823e20i −0.134322 + 0.359363i
\(535\) 1.05067e21i 3.62089i
\(536\) 7.82703e19 4.14881e20i 0.265987 1.40990i
\(537\) −9.05537e19 + 8.46394e19i −0.303458 + 0.283639i
\(538\) 3.38266e20 1.68202e20i 1.11787 0.555859i
\(539\) −1.37709e19 −0.0448794
\(540\) 2.14685e19 + 5.91957e20i 0.0690000 + 1.90255i
\(541\) 2.16728e19 0.0686968 0.0343484 0.999410i \(-0.489064\pi\)
0.0343484 + 0.999410i \(0.489064\pi\)
\(542\) 2.62048e20 1.30303e20i 0.819194 0.407343i
\(543\) −2.32155e20 + 2.16993e20i −0.715781 + 0.669031i
\(544\) −1.29087e20 1.42393e20i −0.392545 0.433010i
\(545\) 4.97835e20i 1.49318i
\(546\) 3.06183e19 8.19153e19i 0.0905808 0.242337i
\(547\) 2.18502e20i 0.637604i −0.947821 0.318802i \(-0.896719\pi\)
0.947821 0.318802i \(-0.103281\pi\)
\(548\) 1.50782e19 + 1.14129e19i 0.0434007 + 0.0328504i
\(549\) −3.15980e18 + 4.67463e19i −0.00897153 + 0.132726i
\(550\) −4.67489e20 9.40152e20i −1.30934 2.63316i
\(551\) −1.92556e18 −0.00532011
\(552\) 5.47781e19 3.47402e19i 0.149301 0.0946868i
\(553\) 4.24620e20 1.14173
\(554\) 2.54701e20 + 5.12221e20i 0.675627 + 1.35873i
\(555\) 2.54073e20 + 2.71827e20i 0.664908 + 0.711370i
\(556\) 2.19278e20 + 1.65974e20i 0.566154 + 0.428528i
\(557\) 2.73010e20i 0.695448i −0.937597 0.347724i \(-0.886955\pi\)
0.937597 0.347724i \(-0.113045\pi\)
\(558\) −4.95700e19 1.19250e20i −0.124584 0.299710i
\(559\) 1.60779e20i 0.398695i
\(560\) 2.06999e20 + 7.33712e20i 0.506474 + 1.79521i
\(561\) 1.85230e20 + 1.98173e20i 0.447187 + 0.478435i
\(562\) −8.68279e19 + 4.31750e19i −0.206841 + 0.102851i
\(563\) −4.23158e20 −0.994695 −0.497348 0.867551i \(-0.665693\pi\)
−0.497348 + 0.867551i \(0.665693\pi\)
\(564\) 5.72523e19 + 5.49885e20i 0.132800 + 1.27549i
\(565\) −7.47719e20 −1.71149
\(566\) 3.94466e20 1.96147e20i 0.891018 0.443057i
\(567\) −5.91506e19 + 4.35540e20i −0.131852 + 0.970857i
\(568\) −2.44200e20 4.60700e19i −0.537196 0.101346i
\(569\) 1.62716e20i 0.353254i 0.984278 + 0.176627i \(0.0565187\pi\)
−0.984278 + 0.176627i \(0.943481\pi\)
\(570\) 1.33017e19 + 4.97189e18i 0.0285000 + 0.0106527i
\(571\) 2.41399e20i 0.510463i −0.966880 0.255231i \(-0.917848\pi\)
0.966880 0.255231i \(-0.0821517\pi\)
\(572\) 8.55600e19 1.13039e20i 0.178567 0.235915i
\(573\) 4.70943e20 4.40184e20i 0.970083 0.906724i
\(574\) 2.58069e20 + 5.18995e20i 0.524684 + 1.05517i
\(575\) 2.31217e20 0.463993
\(576\) 2.15232e20 4.56679e20i 0.426322 0.904571i
\(577\) −4.25822e20 −0.832549 −0.416275 0.909239i \(-0.636664\pi\)
−0.416275 + 0.909239i \(0.636664\pi\)
\(578\) −1.51898e20 3.05477e20i −0.293152 0.589549i
\(579\) −2.32677e20 + 2.17480e20i −0.443266 + 0.414315i
\(580\) −2.03388e20 + 2.68708e20i −0.382486 + 0.505325i
\(581\) 2.75677e20i 0.511776i
\(582\) −6.62828e20 2.47752e20i −1.21473 0.454040i
\(583\) 2.63195e20i 0.476171i
\(584\) 6.48211e20 + 1.22289e20i 1.15776 + 0.218420i
\(585\) −2.84443e20 1.92268e19i −0.501564 0.0339030i
\(586\) 5.99564e20 2.98132e20i 1.04377 0.519011i
\(587\) −1.12071e20 −0.192622 −0.0963110 0.995351i \(-0.530704\pi\)
−0.0963110 + 0.995351i \(0.530704\pi\)
\(588\) −2.44423e18 2.34758e19i −0.00414775 0.0398374i
\(589\) −3.09597e18 −0.00518718
\(590\) −1.17115e21 + 5.82350e20i −1.93741 + 0.963372i
\(591\) 1.31251e20 + 1.40423e20i 0.214386 + 0.229367i
\(592\) −8.61074e19 3.05210e20i −0.138876 0.492250i
\(593\) 6.72168e19i 0.107045i 0.998567 + 0.0535226i \(0.0170449\pi\)
−0.998567 + 0.0535226i \(0.982955\pi\)
\(594\) −2.93922e20 + 6.49100e20i −0.462205 + 1.02074i
\(595\) 7.02061e20i 1.09018i
\(596\) −4.75334e20 3.59785e20i −0.728873 0.551691i
\(597\) 8.11889e20 + 8.68621e20i 1.22939 + 1.31529i
\(598\) 1.39001e19 + 2.79541e19i 0.0207855 + 0.0418010i
\(599\) 1.09204e21 1.61264 0.806320 0.591480i \(-0.201456\pi\)
0.806320 + 0.591480i \(0.201456\pi\)
\(600\) 1.51974e21 9.63817e20i 2.21633 1.40560i
\(601\) −8.56160e20 −1.23310 −0.616548 0.787318i \(-0.711469\pi\)
−0.616548 + 0.787318i \(0.711469\pi\)
\(602\) −4.63062e20 9.31250e20i −0.658667 1.32462i
\(603\) −1.01899e21 6.88786e19i −1.43150 0.0967619i
\(604\) −2.54688e20 1.92776e20i −0.353371 0.267470i
\(605\) 3.55009e20i 0.486490i
\(606\) −1.23899e20 + 3.31476e20i −0.167696 + 0.448649i
\(607\) 3.48456e20i 0.465836i 0.972496 + 0.232918i \(0.0748274\pi\)
−0.972496 + 0.232918i \(0.925173\pi\)
\(608\) −8.12894e18 8.96690e18i −0.0107339 0.0118404i
\(609\) −1.82689e20 + 1.70757e20i −0.238277 + 0.222714i
\(610\) 1.76020e20 8.75257e19i 0.226772 0.112762i
\(611\) −2.66087e20 −0.338621
\(612\) −3.04957e20 + 3.50943e20i −0.383356 + 0.441165i
\(613\) 5.58125e20 0.693071 0.346536 0.938037i \(-0.387358\pi\)
0.346536 + 0.938037i \(0.387358\pi\)
\(614\) −4.65362e20 + 2.31400e20i −0.570858 + 0.283858i
\(615\) 1.38045e21 1.29029e21i 1.67285 1.56359i
\(616\) −1.70009e20 + 9.01155e20i −0.203525 + 1.07881i
\(617\) 7.94207e20i 0.939280i −0.882858 0.469640i \(-0.844384\pi\)
0.882858 0.469640i \(-0.155616\pi\)
\(618\) 7.22632e19 1.93331e20i 0.0844313 0.225885i
\(619\) 7.63690e20i 0.881530i −0.897623 0.440765i \(-0.854707\pi\)
0.897623 0.440765i \(-0.145293\pi\)
\(620\) −3.27012e20 + 4.32035e20i −0.372929 + 0.492699i
\(621\) −9.91722e19 1.21599e20i −0.111738 0.137007i
\(622\) −2.29105e20 4.60747e20i −0.255039 0.512902i
\(623\) 3.41755e20 0.375884
\(624\) 2.07888e20 + 1.25794e20i 0.225915 + 0.136702i
\(625\) 3.03924e21 3.26336
\(626\) 1.93572e20 + 3.89287e20i 0.205369 + 0.413012i
\(627\) 1.16644e19 + 1.24795e19i 0.0122281 + 0.0130825i
\(628\) −1.13654e20 + 1.50156e20i −0.117730 + 0.155541i
\(629\) 2.92044e20i 0.298929i
\(630\) 1.70290e21 7.07865e20i 1.72241 0.715973i
\(631\) 6.83396e20i 0.683049i −0.939873 0.341525i \(-0.889057\pi\)
0.939873 0.341525i \(-0.110943\pi\)
\(632\) −2.18724e20 + 1.15937e21i −0.216032 + 1.14510i
\(633\) 2.49945e20 + 2.67411e20i 0.243959 + 0.261006i
\(634\) −1.48815e20 + 7.39981e19i −0.143542 + 0.0713758i
\(635\) −1.23689e21 −1.17904
\(636\) 4.48679e20 4.67151e19i 0.422676 0.0440077i
\(637\) 1.13598e19 0.0105761
\(638\) −3.62989e20 + 1.80495e20i −0.333994 + 0.166078i
\(639\) −4.05420e19 + 5.99782e20i −0.0368680 + 0.545427i
\(640\) −2.10993e21 + 1.87245e20i −1.89635 + 0.168291i
\(641\) 1.62888e20i 0.144695i 0.997379 + 0.0723477i \(0.0230491\pi\)
−0.997379 + 0.0723477i \(0.976951\pi\)
\(642\) −2.02912e21 7.58445e20i −1.78154 0.665903i
\(643\) 1.30635e21i 1.13364i 0.823840 + 0.566822i \(0.191827\pi\)
−0.823840 + 0.566822i \(0.808173\pi\)
\(644\) −1.61022e20 1.21879e20i −0.138115 0.104541i
\(645\) −2.47699e21 + 2.31521e21i −2.10003 + 1.96287i
\(646\) 4.96262e18 + 9.98016e18i 0.00415879 + 0.00836361i
\(647\) 1.40255e21 1.16182 0.580908 0.813970i \(-0.302698\pi\)
0.580908 + 0.813970i \(0.302698\pi\)
\(648\) −1.15872e21 3.85851e20i −0.948779 0.315942i
\(649\) −1.57335e21 −1.27348
\(650\) 3.85639e20 + 7.75546e20i 0.308554 + 0.620522i
\(651\) −2.93731e20 + 2.74547e20i −0.232323 + 0.217149i
\(652\) 8.01067e19 + 6.06336e19i 0.0626343 + 0.0474085i
\(653\) 8.06788e20i 0.623606i −0.950147 0.311803i \(-0.899067\pi\)
0.950147 0.311803i \(-0.100933\pi\)
\(654\) −9.61446e20 3.59369e20i −0.734669 0.274605i
\(655\) 1.58874e21i 1.20017i
\(656\) −1.54998e21 + 4.37289e20i −1.15757 + 0.326580i
\(657\) 1.07616e20 1.59208e21i 0.0794578 1.17550i
\(658\) 1.54120e21 7.66360e20i 1.12503 0.559421i
\(659\) 1.61103e21 1.16268 0.581342 0.813659i \(-0.302528\pi\)
0.581342 + 0.813659i \(0.302528\pi\)
\(660\) 2.97355e21 3.09597e20i 2.12176 0.220911i
\(661\) −1.02959e21 −0.726360 −0.363180 0.931719i \(-0.618309\pi\)
−0.363180 + 0.931719i \(0.618309\pi\)
\(662\) 2.17430e21 1.08117e21i 1.51665 0.754151i
\(663\) −1.52799e20 1.63476e20i −0.105383 0.112746i
\(664\) 7.52702e20 + 1.42002e20i 0.513289 + 0.0968357i
\(665\) 4.42107e19i 0.0298102i
\(666\) −7.08374e20 + 2.94458e20i −0.472287 + 0.196321i
\(667\) 8.92720e19i 0.0588534i
\(668\) 1.19416e21 1.57768e21i 0.778466 1.02848i
\(669\) 1.29761e21 + 1.38829e21i 0.836469 + 0.894919i
\(670\) 1.90792e21 + 3.83696e21i 1.21618 + 2.44583i
\(671\) 2.36471e20 0.149059
\(672\) −1.56641e21 1.29873e20i −0.976419 0.0809564i
\(673\) −9.10146e20 −0.561046 −0.280523 0.959847i \(-0.590508\pi\)
−0.280523 + 0.959847i \(0.590508\pi\)
\(674\) 1.16167e21 + 2.33619e21i 0.708161 + 1.42416i
\(675\) −2.75139e21 3.37360e21i −1.65872 2.03383i
\(676\) 9.41681e20 1.24411e21i 0.561440 0.741752i
\(677\) 2.21185e21i 1.30419i −0.758136 0.652096i \(-0.773890\pi\)
0.758136 0.652096i \(-0.226110\pi\)
\(678\) 5.39752e20 1.44404e21i 0.314754 0.842085i
\(679\) 2.20304e21i 1.27057i
\(680\) 1.91689e21 + 3.61634e20i 1.09340 + 0.206278i
\(681\) 1.25272e20 1.17090e20i 0.0706725 0.0660566i
\(682\) −5.83622e20 + 2.90205e20i −0.325648 + 0.161928i
\(683\) −1.46098e21 −0.806284 −0.403142 0.915137i \(-0.632082\pi\)
−0.403142 + 0.915137i \(0.632082\pi\)
\(684\) −1.92040e19 + 2.20999e19i −0.0104826 + 0.0120634i
\(685\) −1.91933e20 −0.103627
\(686\) −1.70857e21 + 8.49582e20i −0.912434 + 0.453706i
\(687\) −2.40001e21 + 2.24326e21i −1.26776 + 1.18496i
\(688\) 2.78118e21 7.84642e20i 1.45317 0.409976i
\(689\) 2.17113e20i 0.112213i
\(690\) −2.30504e20 + 6.16685e20i −0.117845 + 0.315279i
\(691\) 2.20684e21i 1.11606i −0.829822 0.558028i \(-0.811558\pi\)
0.829822 0.558028i \(-0.188442\pi\)
\(692\) −1.44801e21 1.09601e21i −0.724395 0.548302i
\(693\) 2.21334e21 + 1.49610e20i 1.09534 + 0.0740390i
\(694\) −4.71961e19 9.49146e19i −0.0231052 0.0464662i
\(695\) −2.79123e21 −1.35179
\(696\) −3.72126e20 5.86765e20i −0.178287 0.281122i
\(697\) 1.48312e21 0.702959
\(698\) 1.77392e20 + 3.56748e20i 0.0831800 + 0.167281i
\(699\) 2.49982e21 + 2.67450e21i 1.15966 + 1.24069i
\(700\) −4.46733e21 3.38137e21i −2.05028 1.55188i
\(701\) 2.09798e21i 0.952614i 0.879279 + 0.476307i \(0.158025\pi\)
−0.879279 + 0.476307i \(0.841975\pi\)
\(702\) 2.42461e20 5.35453e20i 0.108922 0.240543i
\(703\) 1.83908e19i 0.00817403i
\(704\) −2.37291e21 9.28376e20i −1.04349 0.408253i
\(705\) −3.83163e21 4.09937e21i −1.66711 1.78361i
\(706\) 3.32708e21 1.65438e21i 1.43228 0.712199i
\(707\) 1.10173e21 0.469276
\(708\) −2.79258e20 2.68216e21i −0.117695 1.13041i
\(709\) 2.58297e21 1.07714 0.538570 0.842581i \(-0.318965\pi\)
0.538570 + 0.842581i \(0.318965\pi\)
\(710\) 2.25844e21 1.12301e21i 0.931904 0.463387i
\(711\) 2.84755e21 + 1.92479e20i 1.16265 + 0.0785888i
\(712\) −1.76039e20 + 9.33117e20i −0.0711228 + 0.376995i
\(713\) 1.43534e20i 0.0573828i
\(714\) 1.35586e21 + 5.06793e20i 0.536387 + 0.200491i
\(715\) 1.43888e21i 0.563288i
\(716\) −6.47116e20 + 8.54944e20i −0.250689 + 0.331200i
\(717\) 1.02148e21 9.54760e20i 0.391592 0.366016i
\(718\) −9.75798e20 1.96240e21i −0.370192 0.744481i
\(719\) −1.59796e21 −0.599930 −0.299965 0.953950i \(-0.596975\pi\)
−0.299965 + 0.953950i \(0.596975\pi\)
\(720\) 1.05556e21 + 5.01418e21i 0.392185 + 1.86297i
\(721\) −6.42574e20 −0.236270
\(722\) −1.22324e21 2.46003e21i −0.445127 0.895182i
\(723\) 2.43173e21 2.27291e21i 0.875747 0.818550i
\(724\) −1.65903e21 + 2.19185e21i −0.591310 + 0.781215i
\(725\) 2.47672e21i 0.873660i
\(726\) 6.85613e20 + 2.56268e20i 0.239361 + 0.0894685i
\(727\) 1.15585e21i 0.399387i −0.979858 0.199693i \(-0.936005\pi\)
0.979858 0.199693i \(-0.0639946\pi\)
\(728\) 1.40243e20 7.43377e20i 0.0479619 0.254228i
\(729\) −5.94098e20 + 2.89396e21i −0.201095 + 0.979572i
\(730\) −5.99487e21 + 2.98094e21i −2.00844 + 0.998692i
\(731\) −2.66121e21 −0.882467
\(732\) 4.19718e19 + 4.03122e20i 0.0137760 + 0.132313i
\(733\) −4.08602e21 −1.32746 −0.663729 0.747974i \(-0.731027\pi\)
−0.663729 + 0.747974i \(0.731027\pi\)
\(734\) 1.04347e21 5.18865e20i 0.335553 0.166853i
\(735\) 1.63581e20 + 1.75011e20i 0.0520688 + 0.0557072i
\(736\) 4.15719e20 3.76870e20i 0.130983 0.118743i
\(737\) 5.15469e21i 1.60767i
\(738\) 1.49538e21 + 3.59742e21i 0.461667 + 1.11063i
\(739\) 2.04155e21i 0.623916i −0.950096 0.311958i \(-0.899015\pi\)
0.950096 0.311958i \(-0.100985\pi\)
\(740\) 2.56640e21 + 1.94253e21i 0.776401 + 0.587666i
\(741\) −9.62218e18 1.02945e19i −0.00288162 0.00308298i
\(742\) −6.25312e20 1.25755e21i −0.185382 0.372816i
\(743\) 3.65827e21 1.07364 0.536822 0.843696i \(-0.319625\pi\)
0.536822 + 0.843696i \(0.319625\pi\)
\(744\) −5.98312e20 9.43415e20i −0.173833 0.274098i
\(745\) 6.05060e21 1.74031
\(746\) −1.58571e21 3.18898e21i −0.451527 0.908051i
\(747\) 1.24964e20 1.84872e21i 0.0352273 0.521155i
\(748\) 1.87101e21 + 1.41619e21i 0.522172 + 0.395238i
\(749\) 6.74420e21i 1.86344i
\(750\) −3.95832e21 + 1.05900e22i −1.08281 + 2.89691i
\(751\) 4.71333e21i 1.27652i −0.769820 0.638261i \(-0.779654\pi\)
0.769820 0.638261i \(-0.220346\pi\)
\(752\) 1.29857e21 + 4.60281e21i 0.348202 + 1.23421i
\(753\) 2.18230e21 2.03977e21i 0.579366 0.541526i
\(754\) 2.99435e20 1.48894e20i 0.0787078 0.0391373i
\(755\) 3.24196e21 0.843733
\(756\) 1.37805e20 + 3.79972e21i 0.0355100 + 0.979125i
\(757\) −5.48524e21 −1.39951 −0.699756 0.714382i \(-0.746708\pi\)
−0.699756 + 0.714382i \(0.746708\pi\)
\(758\) −1.36106e21 + 6.76782e20i −0.343840 + 0.170974i
\(759\) −5.78569e20 + 5.40781e20i −0.144724 + 0.135272i
\(760\) 1.20712e20 + 2.27731e19i 0.0298984 + 0.00564054i
\(761\) 2.76565e21i 0.678286i 0.940735 + 0.339143i \(0.110137\pi\)
−0.940735 + 0.339143i \(0.889863\pi\)
\(762\) 8.92864e20 2.38874e21i 0.216832 0.580106i
\(763\) 3.19556e21i 0.768445i
\(764\) 3.36546e21 4.44631e21i 0.801390