Properties

Label 12.16.b.a.11.13
Level 12
Weight 16
Character 12.11
Analytic conductor 17.123
Analytic rank 0
Dimension 28
CM No

Related objects

Downloads

Learn more about

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 11.13
Character \(\chi\) = 12.11
Dual form 12.16.b.a.11.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-35.8416 - 177.436i) q^{2} +(-2291.54 - 3016.25i) q^{3} +(-30198.8 + 12719.1i) q^{4} +33476.6i q^{5} +(-453057. + 514708. i) q^{6} +694274. i q^{7} +(3.33920e6 + 4.90246e6i) q^{8} +(-3.84657e6 + 1.38237e7i) q^{9} +O(q^{10})\) \(q+(-35.8416 - 177.436i) q^{2} +(-2291.54 - 3016.25i) q^{3} +(-30198.8 + 12719.1i) q^{4} +33476.6i q^{5} +(-453057. + 514708. i) q^{6} +694274. i q^{7} +(3.33920e6 + 4.90246e6i) q^{8} +(-3.84657e6 + 1.38237e7i) q^{9} +(5.93994e6 - 1.19985e6i) q^{10} +5.49804e7 q^{11} +(1.07566e8 + 6.19404e7i) q^{12} -2.93342e8 q^{13} +(1.23189e8 - 2.48839e7i) q^{14} +(1.00974e8 - 7.67131e7i) q^{15} +(7.50189e8 - 7.68204e8i) q^{16} +1.09024e9i q^{17} +(2.59069e9 + 1.87054e8i) q^{18} -5.34556e9i q^{19} +(-4.25793e8 - 1.01095e9i) q^{20} +(2.09410e9 - 1.59096e9i) q^{21} +(-1.97058e9 - 9.75547e9i) q^{22} +1.46183e10 q^{23} +(7.13511e9 - 2.13060e10i) q^{24} +2.93969e10 q^{25} +(1.05138e10 + 5.20493e10i) q^{26} +(5.05103e10 - 2.00755e10i) q^{27} +(-8.83057e9 - 2.09662e10i) q^{28} +7.94865e10i q^{29} +(-1.72307e10 - 1.51668e10i) q^{30} +1.27900e11i q^{31} +(-1.63195e11 - 1.05577e11i) q^{32} +(-1.25990e11 - 1.65834e11i) q^{33} +(1.93447e11 - 3.90759e10i) q^{34} -2.32419e10 q^{35} +(-5.96641e10 - 4.66384e11i) q^{36} -4.22440e11 q^{37} +(-9.48493e11 + 1.91593e11i) q^{38} +(6.72206e11 + 8.84791e11i) q^{39} +(-1.64118e11 + 1.11785e11i) q^{40} +7.06327e11i q^{41} +(-3.57349e11 - 3.14546e11i) q^{42} +2.89245e12i q^{43} +(-1.66034e12 + 6.99303e11i) q^{44} +(-4.62771e11 - 1.28770e11i) q^{45} +(-5.23941e11 - 2.59380e12i) q^{46} +6.40017e12 q^{47} +(-4.03618e12 - 5.02381e11i) q^{48} +4.26554e12 q^{49} +(-1.05363e12 - 5.21606e12i) q^{50} +(3.28843e12 - 2.49833e12i) q^{51} +(8.85857e12 - 3.73106e12i) q^{52} -7.99661e11i q^{53} +(-5.37247e12 - 8.24279e12i) q^{54} +1.84055e12i q^{55} +(-3.40365e12 + 2.31832e12i) q^{56} +(-1.61235e13 + 1.22496e13i) q^{57} +(1.41037e13 - 2.84892e12i) q^{58} +1.39217e13 q^{59} +(-2.07355e12 + 3.60094e12i) q^{60} +9.62549e12 q^{61} +(2.26940e13 - 4.58413e12i) q^{62} +(-9.59745e12 - 2.67057e12i) q^{63} +(-1.28839e13 + 3.27406e13i) q^{64} -9.82009e12i q^{65} +(-2.49092e13 + 2.82988e13i) q^{66} +2.75795e13i q^{67} +(-1.38669e13 - 3.29239e13i) q^{68} +(-3.34984e13 - 4.40923e13i) q^{69} +(8.33027e11 + 4.12395e12i) q^{70} -1.40051e14 q^{71} +(-8.06147e13 + 2.73025e13i) q^{72} +1.33684e14 q^{73} +(1.51409e13 + 7.49559e13i) q^{74} +(-6.73643e13 - 8.86683e13i) q^{75} +(6.79909e13 + 1.61429e14i) q^{76} +3.81714e13i q^{77} +(1.32901e14 - 1.50986e14i) q^{78} -1.22264e14i q^{79} +(2.57169e13 + 2.51138e13i) q^{80} +(-1.76299e14 - 1.06348e14i) q^{81} +(1.25327e14 - 2.53158e13i) q^{82} -8.03046e13 q^{83} +(-4.30036e13 + 7.46802e13i) q^{84} -3.64975e13 q^{85} +(5.13224e14 - 1.03670e14i) q^{86} +(2.39751e14 - 1.82147e14i) q^{87} +(1.83590e14 + 2.69539e14i) q^{88} +4.85416e14i q^{89} +(-6.26194e12 + 8.67273e13i) q^{90} -2.03660e14i q^{91} +(-4.41454e14 + 1.85932e14i) q^{92} +(3.85777e14 - 2.93088e14i) q^{93} +(-2.29392e14 - 1.13562e15i) q^{94} +1.78951e14 q^{95} +(5.55228e13 + 7.34169e14i) q^{96} +1.97524e14 q^{97} +(-1.52884e14 - 7.56859e14i) q^{98} +(-2.11486e14 + 7.60033e14i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −35.8416 177.436i −0.197998 0.980202i
\(3\) −2291.54 3016.25i −0.604949 0.796264i
\(4\) −30198.8 + 12719.1i −0.921593 + 0.388157i
\(5\) 33476.6i 0.191631i 0.995399 + 0.0958156i \(0.0305459\pi\)
−0.995399 + 0.0958156i \(0.969454\pi\)
\(6\) −453057. + 514708.i −0.660721 + 0.750631i
\(7\) 694274.i 0.318637i 0.987227 + 0.159318i \(0.0509296\pi\)
−0.987227 + 0.159318i \(0.949070\pi\)
\(8\) 3.33920e6 + 4.90246e6i 0.562947 + 0.826493i
\(9\) −3.84657e6 + 1.38237e7i −0.268074 + 0.963398i
\(10\) 5.93994e6 1.19985e6i 0.187837 0.0379427i
\(11\) 5.49804e7 0.850673 0.425336 0.905035i \(-0.360156\pi\)
0.425336 + 0.905035i \(0.360156\pi\)
\(12\) 1.07566e8 + 6.19404e7i 0.866592 + 0.499017i
\(13\) −2.93342e8 −1.29658 −0.648290 0.761394i \(-0.724515\pi\)
−0.648290 + 0.761394i \(0.724515\pi\)
\(14\) 1.23189e8 2.48839e7i 0.312328 0.0630896i
\(15\) 1.00974e8 7.67131e7i 0.152589 0.115927i
\(16\) 7.50189e8 7.68204e8i 0.698668 0.715446i
\(17\) 1.09024e9i 0.644399i 0.946672 + 0.322199i \(0.104422\pi\)
−0.946672 + 0.322199i \(0.895578\pi\)
\(18\) 2.59069e9 + 1.87054e8i 0.997404 + 0.0720151i
\(19\) 5.34556e9i 1.37196i −0.727620 0.685980i \(-0.759374\pi\)
0.727620 0.685980i \(-0.240626\pi\)
\(20\) −4.25793e8 1.01095e9i −0.0743830 0.176606i
\(21\) 2.09410e9 1.59096e9i 0.253719 0.192759i
\(22\) −1.97058e9 9.75547e9i −0.168432 0.833831i
\(23\) 1.46183e10 0.895235 0.447618 0.894225i \(-0.352273\pi\)
0.447618 + 0.894225i \(0.352273\pi\)
\(24\) 7.13511e9 2.13060e10i 0.317553 0.948240i
\(25\) 2.93969e10 0.963277
\(26\) 1.05138e10 + 5.20493e10i 0.256721 + 1.27091i
\(27\) 5.05103e10 2.00755e10i 0.929291 0.369349i
\(28\) −8.83057e9 2.09662e10i −0.123681 0.293653i
\(29\) 7.94865e10i 0.855674i 0.903856 + 0.427837i \(0.140724\pi\)
−0.903856 + 0.427837i \(0.859276\pi\)
\(30\) −1.72307e10 1.51668e10i −0.143844 0.126615i
\(31\) 1.27900e11i 0.834944i 0.908690 + 0.417472i \(0.137084\pi\)
−0.908690 + 0.417472i \(0.862916\pi\)
\(32\) −1.63195e11 1.05577e11i −0.839617 0.543179i
\(33\) −1.25990e11 1.65834e11i −0.514613 0.677360i
\(34\) 1.93447e11 3.90759e10i 0.631641 0.127590i
\(35\) −2.32419e10 −0.0610607
\(36\) −5.96641e10 4.66384e11i −0.126895 0.991916i
\(37\) −4.22440e11 −0.731564 −0.365782 0.930701i \(-0.619198\pi\)
−0.365782 + 0.930701i \(0.619198\pi\)
\(38\) −9.48493e11 + 1.91593e11i −1.34480 + 0.271646i
\(39\) 6.72206e11 + 8.84791e11i 0.784364 + 1.03242i
\(40\) −1.64118e11 + 1.11785e11i −0.158382 + 0.107878i
\(41\) 7.06327e11i 0.566405i 0.959060 + 0.283202i \(0.0913968\pi\)
−0.959060 + 0.283202i \(0.908603\pi\)
\(42\) −3.57349e11 3.14546e11i −0.239179 0.210530i
\(43\) 2.89245e12i 1.62275i 0.584523 + 0.811377i \(0.301282\pi\)
−0.584523 + 0.811377i \(0.698718\pi\)
\(44\) −1.66034e12 + 6.99303e11i −0.783974 + 0.330195i
\(45\) −4.62771e11 1.28770e11i −0.184617 0.0513713i
\(46\) −5.23941e11 2.59380e12i −0.177255 0.877512i
\(47\) 6.40017e12 1.84271 0.921357 0.388718i \(-0.127082\pi\)
0.921357 + 0.388718i \(0.127082\pi\)
\(48\) −4.03618e12 5.02381e11i −0.992343 0.123516i
\(49\) 4.26554e12 0.898471
\(50\) −1.05363e12 5.21606e12i −0.190727 0.944207i
\(51\) 3.28843e12 2.49833e12i 0.513112 0.389828i
\(52\) 8.85857e12 3.73106e12i 1.19492 0.503277i
\(53\) 7.99661e11i 0.0935055i −0.998906 0.0467527i \(-0.985113\pi\)
0.998906 0.0467527i \(-0.0148873\pi\)
\(54\) −5.37247e12 8.24279e12i −0.546035 0.837762i
\(55\) 1.84055e12i 0.163015i
\(56\) −3.40365e12 + 2.31832e12i −0.263351 + 0.179375i
\(57\) −1.61235e13 + 1.22496e13i −1.09244 + 0.829966i
\(58\) 1.41037e13 2.84892e12i 0.838733 0.169422i
\(59\) 1.39217e13 0.728289 0.364144 0.931343i \(-0.381361\pi\)
0.364144 + 0.931343i \(0.381361\pi\)
\(60\) −2.07355e12 + 3.60094e12i −0.0956271 + 0.166066i
\(61\) 9.62549e12 0.392147 0.196074 0.980589i \(-0.437181\pi\)
0.196074 + 0.980589i \(0.437181\pi\)
\(62\) 2.26940e13 4.58413e12i 0.818414 0.165318i
\(63\) −9.59745e12 2.67057e12i −0.306974 0.0854181i
\(64\) −1.28839e13 + 3.27406e13i −0.366182 + 0.930543i
\(65\) 9.82009e12i 0.248465i
\(66\) −2.49092e13 + 2.82988e13i −0.562057 + 0.638542i
\(67\) 2.75795e13i 0.555937i 0.960590 + 0.277969i \(0.0896611\pi\)
−0.960590 + 0.277969i \(0.910339\pi\)
\(68\) −1.38669e13 3.29239e13i −0.250128 0.593874i
\(69\) −3.34984e13 4.40923e13i −0.541572 0.712844i
\(70\) 8.33027e11 + 4.12395e12i 0.0120899 + 0.0598519i
\(71\) −1.40051e14 −1.82746 −0.913732 0.406318i \(-0.866813\pi\)
−0.913732 + 0.406318i \(0.866813\pi\)
\(72\) −8.06147e13 + 2.73025e13i −0.947154 + 0.320781i
\(73\) 1.33684e14 1.41631 0.708153 0.706059i \(-0.249529\pi\)
0.708153 + 0.706059i \(0.249529\pi\)
\(74\) 1.51409e13 + 7.49559e13i 0.144849 + 0.717081i
\(75\) −6.73643e13 8.86683e13i −0.582734 0.767024i
\(76\) 6.79909e13 + 1.61429e14i 0.532536 + 1.26439i
\(77\) 3.81714e13i 0.271055i
\(78\) 1.32901e14 1.50986e14i 0.856677 0.973253i
\(79\) 1.22264e14i 0.716301i −0.933664 0.358150i \(-0.883408\pi\)
0.933664 0.358150i \(-0.116592\pi\)
\(80\) 2.57169e13 + 2.51138e13i 0.137102 + 0.133887i
\(81\) −1.76299e14 1.06348e14i −0.856273 0.516524i
\(82\) 1.25327e14 2.53158e13i 0.555191 0.112147i
\(83\) −8.03046e13 −0.324829 −0.162414 0.986723i \(-0.551928\pi\)
−0.162414 + 0.986723i \(0.551928\pi\)
\(84\) −4.30036e13 + 7.46802e13i −0.159005 + 0.276128i
\(85\) −3.64975e13 −0.123487
\(86\) 5.13224e14 1.03670e14i 1.59063 0.321303i
\(87\) 2.39751e14 1.82147e14i 0.681342 0.517639i
\(88\) 1.83590e14 + 2.69539e14i 0.478883 + 0.703075i
\(89\) 4.85416e14i 1.16329i 0.813442 + 0.581646i \(0.197591\pi\)
−0.813442 + 0.581646i \(0.802409\pi\)
\(90\) −6.26194e12 + 8.67273e13i −0.0138003 + 0.191134i
\(91\) 2.03660e14i 0.413138i
\(92\) −4.41454e14 + 1.85932e14i −0.825043 + 0.347492i
\(93\) 3.85777e14 2.93088e14i 0.664836 0.505098i
\(94\) −2.29392e14 1.13562e15i −0.364854 1.80623i
\(95\) 1.78951e14 0.262910
\(96\) 5.55228e13 + 7.34169e14i 0.0754115 + 0.997153i
\(97\) 1.97524e14 0.248218 0.124109 0.992269i \(-0.460393\pi\)
0.124109 + 0.992269i \(0.460393\pi\)
\(98\) −1.52884e14 7.56859e14i −0.177896 0.880683i
\(99\) −2.11486e14 + 7.60033e14i −0.228043 + 0.819537i
\(100\) −8.87750e14 + 3.73903e14i −0.887750 + 0.373903i
\(101\) 7.20648e14i 0.668826i −0.942427 0.334413i \(-0.891462\pi\)
0.942427 0.334413i \(-0.108538\pi\)
\(102\) −5.61155e14 4.93940e14i −0.483706 0.425768i
\(103\) 1.54207e15i 1.23545i 0.786394 + 0.617725i \(0.211945\pi\)
−0.786394 + 0.617725i \(0.788055\pi\)
\(104\) −9.79527e14 1.43810e15i −0.729905 1.07161i
\(105\) 5.32599e13 + 7.01034e13i 0.0369386 + 0.0486205i
\(106\) −1.41888e14 + 2.86611e13i −0.0916543 + 0.0185139i
\(107\) 1.67492e15 1.00836 0.504180 0.863599i \(-0.331795\pi\)
0.504180 + 0.863599i \(0.331795\pi\)
\(108\) −1.27001e15 + 1.24870e15i −0.713062 + 0.701100i
\(109\) −2.64556e15 −1.38618 −0.693089 0.720852i \(-0.743751\pi\)
−0.693089 + 0.720852i \(0.743751\pi\)
\(110\) 3.26580e14 6.59684e13i 0.159788 0.0322768i
\(111\) 9.68040e14 + 1.27418e15i 0.442559 + 0.582519i
\(112\) 5.33344e14 + 5.20837e14i 0.227967 + 0.222621i
\(113\) 4.64724e15i 1.85826i 0.369751 + 0.929131i \(0.379443\pi\)
−0.369751 + 0.929131i \(0.620557\pi\)
\(114\) 2.75141e15 + 2.42184e15i 1.02984 + 0.906483i
\(115\) 4.89370e14i 0.171555i
\(116\) −1.01100e15 2.40039e15i −0.332136 0.788583i
\(117\) 1.12836e15 4.05508e15i 0.347579 1.24912i
\(118\) −4.98977e14 2.47021e15i −0.144200 0.713870i
\(119\) −7.56925e14 −0.205329
\(120\) 7.13254e14 + 2.38859e14i 0.181712 + 0.0608531i
\(121\) −1.15441e15 −0.276356
\(122\) −3.44992e14 1.70790e15i −0.0776445 0.384383i
\(123\) 2.13045e15 1.61858e15i 0.451008 0.342646i
\(124\) −1.62677e15 3.86242e15i −0.324089 0.769478i
\(125\) 2.00573e15i 0.376225i
\(126\) −1.29867e14 + 1.79865e15i −0.0229467 + 0.317809i
\(127\) 9.47528e15i 1.57784i −0.614494 0.788922i \(-0.710640\pi\)
0.614494 0.788922i \(-0.289360\pi\)
\(128\) 6.27112e15 + 1.11259e15i 0.984624 + 0.174687i
\(129\) 8.72434e15 6.62818e15i 1.29214 0.981683i
\(130\) −1.74243e15 + 3.51967e14i −0.243546 + 0.0491957i
\(131\) −6.95076e15 −0.917270 −0.458635 0.888625i \(-0.651661\pi\)
−0.458635 + 0.888625i \(0.651661\pi\)
\(132\) 5.91401e15 + 3.40551e15i 0.737186 + 0.424500i
\(133\) 3.71129e15 0.437157
\(134\) 4.89359e15 9.88493e14i 0.544931 0.110075i
\(135\) 6.72058e14 + 1.69091e15i 0.0707788 + 0.178081i
\(136\) −5.34485e15 + 3.64052e15i −0.532591 + 0.362762i
\(137\) 1.81089e16i 1.70800i 0.520272 + 0.854001i \(0.325831\pi\)
−0.520272 + 0.854001i \(0.674169\pi\)
\(138\) −6.62291e15 + 7.52414e15i −0.591501 + 0.671992i
\(139\) 1.37379e15i 0.116228i 0.998310 + 0.0581140i \(0.0185087\pi\)
−0.998310 + 0.0581140i \(0.981491\pi\)
\(140\) 7.01878e14 2.95617e14i 0.0562731 0.0237012i
\(141\) −1.46663e16 1.93045e16i −1.11475 1.46729i
\(142\) 5.01965e15 + 2.48500e16i 0.361835 + 1.79128i
\(143\) −1.61280e16 −1.10296
\(144\) 7.73378e15 + 1.33253e16i 0.501965 + 0.864888i
\(145\) −2.66094e15 −0.163974
\(146\) −4.79143e15 2.37202e16i −0.280426 1.38827i
\(147\) −9.77468e15 1.28659e16i −0.543529 0.715420i
\(148\) 1.27572e16 5.37308e15i 0.674205 0.283962i
\(149\) 6.04298e14i 0.0303637i −0.999885 0.0151818i \(-0.995167\pi\)
0.999885 0.0151818i \(-0.00483271\pi\)
\(150\) −1.33185e16 + 1.51308e16i −0.636458 + 0.723066i
\(151\) 1.35196e16i 0.614664i 0.951602 + 0.307332i \(0.0994362\pi\)
−0.951602 + 0.307332i \(0.900564\pi\)
\(152\) 2.62064e16 1.78499e16i 1.13392 0.772340i
\(153\) −1.50711e16 4.19368e15i −0.620813 0.172746i
\(154\) 6.77297e15 1.36812e15i 0.265689 0.0536686i
\(155\) −4.28165e15 −0.160001
\(156\) −3.15536e16 1.81697e16i −1.12361 0.647015i
\(157\) 2.33116e16 0.791270 0.395635 0.918408i \(-0.370525\pi\)
0.395635 + 0.918408i \(0.370525\pi\)
\(158\) −2.16940e16 + 4.38213e15i −0.702120 + 0.141826i
\(159\) −2.41198e15 + 1.83246e15i −0.0744551 + 0.0565660i
\(160\) 3.53434e15 5.46320e15i 0.104090 0.160897i
\(161\) 1.01491e16i 0.285255i
\(162\) −1.25510e16 + 3.50934e16i −0.336757 + 0.941592i
\(163\) 1.11261e15i 0.0285060i 0.999898 + 0.0142530i \(0.00453702\pi\)
−0.999898 + 0.0142530i \(0.995463\pi\)
\(164\) −8.98386e15 2.13302e16i −0.219854 0.521995i
\(165\) 5.55157e15 4.21771e15i 0.129803 0.0986160i
\(166\) 2.87824e15 + 1.42489e16i 0.0643156 + 0.318398i
\(167\) 7.24563e16 1.54776 0.773878 0.633334i \(-0.218314\pi\)
0.773878 + 0.633334i \(0.218314\pi\)
\(168\) 1.47922e16 + 4.95372e15i 0.302144 + 0.101184i
\(169\) 3.48636e16 0.681118
\(170\) 1.30813e15 + 6.47595e15i 0.0244502 + 0.121042i
\(171\) 7.38955e16 + 2.05621e16i 1.32174 + 0.367787i
\(172\) −3.67895e16 8.73485e16i −0.629884 1.49552i
\(173\) 6.62972e16i 1.08680i 0.839474 + 0.543400i \(0.182863\pi\)
−0.839474 + 0.543400i \(0.817137\pi\)
\(174\) −4.09123e16 3.60119e16i −0.642296 0.565362i
\(175\) 2.04095e16i 0.306935i
\(176\) 4.12457e16 4.22361e16i 0.594338 0.608610i
\(177\) −3.19023e16 4.19914e16i −0.440577 0.579910i
\(178\) 8.61301e16 1.73981e16i 1.14026 0.230330i
\(179\) 2.84284e16 0.360874 0.180437 0.983587i \(-0.442249\pi\)
0.180437 + 0.983587i \(0.442249\pi\)
\(180\) 1.56129e16 1.99735e15i 0.190082 0.0243170i
\(181\) −5.40077e16 −0.630764 −0.315382 0.948965i \(-0.602133\pi\)
−0.315382 + 0.948965i \(0.602133\pi\)
\(182\) −3.61365e16 + 7.29948e15i −0.404959 + 0.0818006i
\(183\) −2.20572e16 2.90328e16i −0.237229 0.312253i
\(184\) 4.88133e16 + 7.16655e16i 0.503970 + 0.739906i
\(185\) 1.41419e16i 0.140191i
\(186\) −6.58311e16 5.79459e16i −0.626735 0.551665i
\(187\) 5.99417e16i 0.548172i
\(188\) −1.93277e17 + 8.14047e16i −1.69823 + 0.715262i
\(189\) 1.39379e16 + 3.50680e16i 0.117688 + 0.296106i
\(190\) −6.41389e15 3.17523e16i −0.0520559 0.257705i
\(191\) −1.21047e17 −0.944506 −0.472253 0.881463i \(-0.656559\pi\)
−0.472253 + 0.881463i \(0.656559\pi\)
\(192\) 1.28278e17 3.61655e16i 0.962480 0.271353i
\(193\) −5.51856e16 −0.398241 −0.199120 0.979975i \(-0.563808\pi\)
−0.199120 + 0.979975i \(0.563808\pi\)
\(194\) −7.07958e15 3.50479e16i −0.0491468 0.243304i
\(195\) −2.96198e16 + 2.25032e16i −0.197844 + 0.150309i
\(196\) −1.28814e17 + 5.42540e16i −0.828024 + 0.348748i
\(197\) 2.35075e16i 0.145449i −0.997352 0.0727244i \(-0.976831\pi\)
0.997352 0.0727244i \(-0.0231694\pi\)
\(198\) 1.42437e17 + 1.02843e16i 0.848464 + 0.0612613i
\(199\) 3.43230e16i 0.196873i −0.995143 0.0984367i \(-0.968616\pi\)
0.995143 0.0984367i \(-0.0313842\pi\)
\(200\) 9.81620e16 + 1.44117e17i 0.542274 + 0.796142i
\(201\) 8.31866e16 6.31997e16i 0.442673 0.336314i
\(202\) −1.27869e17 + 2.58292e16i −0.655585 + 0.132427i
\(203\) −5.51854e16 −0.272649
\(204\) −6.75299e16 + 1.17272e17i −0.321566 + 0.558431i
\(205\) −2.36454e16 −0.108541
\(206\) 2.73618e17 5.52702e16i 1.21099 0.244617i
\(207\) −5.62301e16 + 2.02079e17i −0.239989 + 0.862468i
\(208\) −2.20062e17 + 2.25347e17i −0.905879 + 0.927633i
\(209\) 2.93901e17i 1.16709i
\(210\) 1.05299e16 1.19628e16i 0.0403441 0.0458341i
\(211\) 3.73984e17i 1.38272i −0.722510 0.691360i \(-0.757012\pi\)
0.722510 0.691360i \(-0.242988\pi\)
\(212\) 1.01710e16 + 2.41488e16i 0.0362948 + 0.0861740i
\(213\) 3.20933e17 + 4.22428e17i 1.10552 + 1.45514i
\(214\) −6.00317e16 2.97190e17i −0.199654 0.988396i
\(215\) −9.68294e16 −0.310970
\(216\) 2.67083e17 + 1.80589e17i 0.828406 + 0.560129i
\(217\) −8.87975e16 −0.266044
\(218\) 9.48210e16 + 4.69417e17i 0.274461 + 1.35873i
\(219\) −3.06342e17 4.03223e17i −0.856792 1.12775i
\(220\) −2.34103e16 5.55825e16i −0.0632756 0.150234i
\(221\) 3.19813e17i 0.835514i
\(222\) 1.91389e17 2.17434e17i 0.483360 0.549135i
\(223\) 2.16121e17i 0.527728i −0.964560 0.263864i \(-0.915003\pi\)
0.964560 0.263864i \(-0.0849969\pi\)
\(224\) 7.32991e16 1.13302e17i 0.173077 0.267533i
\(225\) −1.13077e17 + 4.06374e17i −0.258229 + 0.928020i
\(226\) 8.24586e17 1.66564e17i 1.82147 0.367933i
\(227\) 2.86031e17 0.611250 0.305625 0.952152i \(-0.401135\pi\)
0.305625 + 0.952152i \(0.401135\pi\)
\(228\) 3.31107e17 5.75000e17i 0.684631 1.18893i
\(229\) −6.84429e16 −0.136950 −0.0684751 0.997653i \(-0.521813\pi\)
−0.0684751 + 0.997653i \(0.521813\pi\)
\(230\) 8.68316e16 1.75398e16i 0.168159 0.0339676i
\(231\) 1.15134e17 8.74715e16i 0.215832 0.163975i
\(232\) −3.89679e17 + 2.65421e17i −0.707209 + 0.481699i
\(233\) 4.77935e17i 0.839846i −0.907560 0.419923i \(-0.862057\pi\)
0.907560 0.419923i \(-0.137943\pi\)
\(234\) −7.59957e17 5.48709e16i −1.29321 0.0933733i
\(235\) 2.14256e17i 0.353121i
\(236\) −4.20419e17 + 1.77073e17i −0.671186 + 0.282690i
\(237\) −3.68778e17 + 2.80173e17i −0.570365 + 0.433325i
\(238\) 2.71294e16 + 1.34305e17i 0.0406548 + 0.201264i
\(239\) 2.45440e17 0.356419 0.178210 0.983993i \(-0.442970\pi\)
0.178210 + 0.983993i \(0.442970\pi\)
\(240\) 1.68180e16 1.35118e17i 0.0236696 0.190164i
\(241\) 2.59773e16 0.0354378 0.0177189 0.999843i \(-0.494360\pi\)
0.0177189 + 0.999843i \(0.494360\pi\)
\(242\) 4.13758e16 + 2.04833e17i 0.0547181 + 0.270885i
\(243\) 8.32261e16 + 7.75461e17i 0.106712 + 0.994290i
\(244\) −2.90678e17 + 1.22428e17i −0.361400 + 0.152215i
\(245\) 1.42796e17i 0.172175i
\(246\) −3.63552e17 3.20006e17i −0.425161 0.374235i
\(247\) 1.56808e18i 1.77886i
\(248\) −6.27024e17 + 4.27083e17i −0.690075 + 0.470029i
\(249\) 1.84021e17 + 2.42218e17i 0.196505 + 0.258650i
\(250\) 3.55888e17 7.18886e16i 0.368777 0.0744920i
\(251\) 7.40843e17 0.745029 0.372514 0.928026i \(-0.378496\pi\)
0.372514 + 0.928026i \(0.378496\pi\)
\(252\) 3.23798e17 4.14233e16i 0.316061 0.0404334i
\(253\) 8.03718e17 0.761552
\(254\) −1.68125e18 + 3.39609e17i −1.54661 + 0.312411i
\(255\) 8.36355e16 + 1.10085e17i 0.0747033 + 0.0983282i
\(256\) −2.73542e16 1.15260e18i −0.0237260 0.999718i
\(257\) 2.57141e17i 0.216607i −0.994118 0.108304i \(-0.965458\pi\)
0.994118 0.108304i \(-0.0345419\pi\)
\(258\) −1.48877e18 1.31044e18i −1.21809 1.07219i
\(259\) 2.93289e17i 0.233103i
\(260\) 1.24903e17 + 2.96555e17i 0.0964435 + 0.228984i
\(261\) −1.09880e18 3.05750e17i −0.824355 0.229384i
\(262\) 2.49126e17 + 1.23331e18i 0.181618 + 0.899110i
\(263\) −1.13536e18 −0.804386 −0.402193 0.915555i \(-0.631752\pi\)
−0.402193 + 0.915555i \(0.631752\pi\)
\(264\) 3.92291e17 1.17141e18i 0.270134 0.806642i
\(265\) 2.67699e16 0.0179186
\(266\) −1.33018e17 6.58514e17i −0.0865564 0.428502i
\(267\) 1.46413e18 1.11235e18i 0.926288 0.703733i
\(268\) −3.50788e17 8.32868e17i −0.215791 0.512348i
\(269\) 8.06335e17i 0.482362i −0.970480 0.241181i \(-0.922465\pi\)
0.970480 0.241181i \(-0.0775348\pi\)
\(270\) 2.75940e17 1.79852e17i 0.160541 0.104637i
\(271\) 7.28020e17i 0.411977i 0.978554 + 0.205989i \(0.0660410\pi\)
−0.978554 + 0.205989i \(0.933959\pi\)
\(272\) 8.37526e17 + 8.17885e17i 0.461033 + 0.450221i
\(273\) −6.14288e17 + 4.66695e17i −0.328967 + 0.249927i
\(274\) 3.21317e18 6.49052e17i 1.67419 0.338182i
\(275\) 1.61625e18 0.819434
\(276\) 1.57243e18 + 9.05462e17i 0.775804 + 0.446737i
\(277\) 3.30992e17 0.158935 0.0794673 0.996837i \(-0.474678\pi\)
0.0794673 + 0.996837i \(0.474678\pi\)
\(278\) 2.43760e17 4.92389e16i 0.113927 0.0230130i
\(279\) −1.76805e18 4.91975e17i −0.804383 0.223826i
\(280\) −7.76094e16 1.13943e17i −0.0343739 0.0504663i
\(281\) 4.26270e18i 1.83818i 0.394053 + 0.919088i \(0.371073\pi\)
−0.394053 + 0.919088i \(0.628927\pi\)
\(282\) −2.89964e18 + 3.29422e18i −1.21752 + 1.38320i
\(283\) 3.24968e18i 1.32875i −0.747401 0.664373i \(-0.768699\pi\)
0.747401 0.664373i \(-0.231301\pi\)
\(284\) 4.22937e18 1.78133e18i 1.68418 0.709343i
\(285\) −4.10075e17 5.39761e17i −0.159047 0.209346i
\(286\) 5.78054e17 + 2.86169e18i 0.218385 + 1.08113i
\(287\) −4.90384e17 −0.180477
\(288\) 2.08720e18 1.84985e18i 0.748377 0.663274i
\(289\) 1.67380e18 0.584750
\(290\) 9.53721e16 + 4.72145e17i 0.0324666 + 0.160727i
\(291\) −4.52636e17 5.95782e17i −0.150159 0.197647i
\(292\) −4.03708e18 + 1.70034e18i −1.30526 + 0.549749i
\(293\) 4.82189e18i 1.51953i −0.650195 0.759767i \(-0.725313\pi\)
0.650195 0.759767i \(-0.274687\pi\)
\(294\) −1.93253e18 + 2.19551e18i −0.593639 + 0.674420i
\(295\) 4.66052e17i 0.139563i
\(296\) −1.41061e18 2.07100e18i −0.411832 0.604633i
\(297\) 2.77707e18 1.10376e18i 0.790522 0.314195i
\(298\) −1.07224e17 + 2.16590e16i −0.0297625 + 0.00601196i
\(299\) −4.28815e18 −1.16074
\(300\) 3.16210e18 + 1.82086e18i 0.834769 + 0.480691i
\(301\) −2.00815e18 −0.517069
\(302\) 2.39886e18 4.84565e17i 0.602495 0.121703i
\(303\) −2.17365e18 + 1.65140e18i −0.532562 + 0.404605i
\(304\) −4.10649e18 4.01018e18i −0.981563 0.958545i
\(305\) 3.22228e17i 0.0751476i
\(306\) −2.03934e17 + 2.82447e18i −0.0464065 + 0.642726i
\(307\) 2.84934e18i 0.632713i −0.948640 0.316357i \(-0.897540\pi\)
0.948640 0.316357i \(-0.102460\pi\)
\(308\) −4.85508e17 1.15273e18i −0.105212 0.249803i
\(309\) 4.65126e18 3.53372e18i 0.983744 0.747384i
\(310\) 1.53461e17 + 7.59717e17i 0.0316800 + 0.156834i
\(311\) −4.50890e18 −0.908589 −0.454295 0.890851i \(-0.650109\pi\)
−0.454295 + 0.890851i \(0.650109\pi\)
\(312\) −2.09303e18 + 6.24996e18i −0.411733 + 1.22947i
\(313\) −3.78043e18 −0.726037 −0.363018 0.931782i \(-0.618254\pi\)
−0.363018 + 0.931782i \(0.618254\pi\)
\(314\) −8.35524e17 4.13631e18i −0.156670 0.775605i
\(315\) 8.94016e16 3.21290e17i 0.0163688 0.0588258i
\(316\) 1.55509e18 + 3.69222e18i 0.278037 + 0.660138i
\(317\) 1.09502e19i 1.91195i 0.293440 + 0.955977i \(0.405200\pi\)
−0.293440 + 0.955977i \(0.594800\pi\)
\(318\) 4.11592e17 + 3.62292e17i 0.0701882 + 0.0617811i
\(319\) 4.37019e18i 0.727898i
\(320\) −1.09604e18 4.31309e17i −0.178321 0.0701719i
\(321\) −3.83815e18 5.05197e18i −0.610006 0.802921i
\(322\) 1.80081e18 3.63759e17i 0.279607 0.0564800i
\(323\) 5.82794e18 0.884090
\(324\) 6.67666e18 + 9.69197e17i 0.989628 + 0.143656i
\(325\) −8.62334e18 −1.24897
\(326\) 1.97417e17 3.98777e16i 0.0279416 0.00564414i
\(327\) 6.06242e18 + 7.97966e18i 0.838567 + 1.10376i
\(328\) −3.46274e18 + 2.35856e18i −0.468130 + 0.318856i
\(329\) 4.44348e18i 0.587156i
\(330\) −9.47349e17 8.33876e17i −0.122364 0.107708i
\(331\) 3.37469e18i 0.426112i −0.977040 0.213056i \(-0.931658\pi\)
0.977040 0.213056i \(-0.0683417\pi\)
\(332\) 2.42510e18 1.02140e18i 0.299360 0.126085i
\(333\) 1.62494e18 5.83969e18i 0.196113 0.704788i
\(334\) −2.59695e18 1.28563e19i −0.306454 1.51711i
\(335\) −9.23268e17 −0.106535
\(336\) 3.48790e17 2.80222e18i 0.0393568 0.316197i
\(337\) 8.45680e18 0.933215 0.466608 0.884464i \(-0.345476\pi\)
0.466608 + 0.884464i \(0.345476\pi\)
\(338\) −1.24957e18 6.18605e18i −0.134860 0.667633i
\(339\) 1.40172e19 1.06494e19i 1.47967 1.12415i
\(340\) 1.10218e18 4.64216e17i 0.113805 0.0479323i
\(341\) 7.03198e18i 0.710264i
\(342\) 9.99910e17 1.38487e19i 0.0988019 1.36840i
\(343\) 6.25757e18i 0.604922i
\(344\) −1.41801e19 + 9.65847e18i −1.34120 + 0.913524i
\(345\) 1.47606e18 1.12141e18i 0.136603 0.103782i
\(346\) 1.17635e19 2.37620e18i 1.06528 0.215185i
\(347\) 1.70796e19 1.51359 0.756793 0.653654i \(-0.226765\pi\)
0.756793 + 0.653654i \(0.226765\pi\)
\(348\) −4.92343e18 + 8.55003e18i −0.426995 + 0.741520i
\(349\) 1.14186e19 0.969222 0.484611 0.874730i \(-0.338961\pi\)
0.484611 + 0.874730i \(0.338961\pi\)
\(350\) 3.62137e18 7.31508e17i 0.300859 0.0607728i
\(351\) −1.48168e19 + 5.88897e18i −1.20490 + 0.478890i
\(352\) −8.97250e18 5.80464e18i −0.714239 0.462067i
\(353\) 4.25349e18i 0.331463i −0.986171 0.165731i \(-0.947002\pi\)
0.986171 0.165731i \(-0.0529985\pi\)
\(354\) −6.30734e18 + 7.16564e18i −0.481196 + 0.546676i
\(355\) 4.68843e18i 0.350199i
\(356\) −6.17407e18 1.46590e19i −0.451540 1.07208i
\(357\) 1.73453e18 + 2.28307e18i 0.124214 + 0.163496i
\(358\) −1.01892e18 5.04421e18i −0.0714524 0.353729i
\(359\) −8.34588e18 −0.573144 −0.286572 0.958059i \(-0.592516\pi\)
−0.286572 + 0.958059i \(0.592516\pi\)
\(360\) −9.13994e17 2.69870e18i −0.0614716 0.181504i
\(361\) −1.33939e19 −0.882275
\(362\) 1.93572e18 + 9.58290e18i 0.124890 + 0.618276i
\(363\) 2.64538e18 + 3.48198e18i 0.167181 + 0.220053i
\(364\) 2.59038e18 + 6.15027e18i 0.160362 + 0.380745i
\(365\) 4.47527e18i 0.271408i
\(366\) −4.36089e18 + 4.95432e18i −0.259100 + 0.294358i
\(367\) 2.22875e19i 1.29737i 0.761055 + 0.648687i \(0.224682\pi\)
−0.761055 + 0.648687i \(0.775318\pi\)
\(368\) 1.09665e19 1.12298e19i 0.625472 0.640492i
\(369\) −9.76406e18 2.71693e18i −0.545673 0.151838i
\(370\) −2.50927e18 + 5.06866e17i −0.137415 + 0.0277575i
\(371\) 5.55184e17 0.0297943
\(372\) −7.92217e18 + 1.37576e19i −0.416651 + 0.723556i
\(373\) 6.53051e18 0.336613 0.168306 0.985735i \(-0.446170\pi\)
0.168306 + 0.985735i \(0.446170\pi\)
\(374\) 1.06358e19 2.14840e18i 0.537320 0.108537i
\(375\) 6.04978e18 4.59622e18i 0.299575 0.227597i
\(376\) 2.13714e19 + 3.13766e19i 1.03735 + 1.52299i
\(377\) 2.33167e19i 1.10945i
\(378\) 5.72275e18 3.72996e18i 0.266942 0.173987i
\(379\) 2.46209e19i 1.12592i −0.826482 0.562962i \(-0.809662\pi\)
0.826482 0.562962i \(-0.190338\pi\)
\(380\) −5.40411e18 + 2.27610e18i −0.242296 + 0.102051i
\(381\) −2.85798e19 + 2.17130e19i −1.25638 + 0.954515i
\(382\) 4.33852e18 + 2.14781e19i 0.187011 + 0.925807i
\(383\) −2.66962e19 −1.12839 −0.564195 0.825642i \(-0.690813\pi\)
−0.564195 + 0.825642i \(0.690813\pi\)
\(384\) −1.10147e19 2.14648e19i −0.456551 0.889697i
\(385\) −1.27785e18 −0.0519427
\(386\) 1.97794e18 + 9.79188e18i 0.0788511 + 0.390356i
\(387\) −3.99844e19 1.11260e19i −1.56336 0.435018i
\(388\) −5.96500e18 + 2.51234e18i −0.228756 + 0.0963475i
\(389\) 1.39097e19i 0.523232i −0.965172 0.261616i \(-0.915745\pi\)
0.965172 0.261616i \(-0.0842555\pi\)
\(390\) 5.05448e18 + 4.44906e18i 0.186506 + 0.164166i
\(391\) 1.59374e19i 0.576889i
\(392\) 1.42435e19 + 2.09117e19i 0.505791 + 0.742580i
\(393\) 1.59280e19 + 2.09652e19i 0.554902 + 0.730390i
\(394\) −4.17107e18 + 8.42546e17i −0.142569 + 0.0287986i
\(395\) 4.09298e18 0.137266
\(396\) −3.28035e18 2.56420e19i −0.107946 0.843796i
\(397\) 3.59590e19 1.16113 0.580563 0.814216i \(-0.302833\pi\)
0.580563 + 0.814216i \(0.302833\pi\)
\(398\) −6.09012e18 + 1.23019e18i −0.192976 + 0.0389806i
\(399\) −8.50457e18 1.11942e19i −0.264457 0.348092i
\(400\) 2.20532e19 2.25828e19i 0.673011 0.689173i
\(401\) 3.03739e19i 0.909742i −0.890557 0.454871i \(-0.849685\pi\)
0.890557 0.454871i \(-0.150315\pi\)
\(402\) −1.41954e19 1.24951e19i −0.417304 0.367320i
\(403\) 3.75184e19i 1.08257i
\(404\) 9.16602e18 + 2.17627e19i 0.259610 + 0.616385i
\(405\) 3.56016e18 5.90189e18i 0.0989820 0.164089i
\(406\) 1.97793e18 + 9.79185e18i 0.0539841 + 0.267251i
\(407\) −2.32259e19 −0.622322
\(408\) 2.32287e19 + 7.77898e18i 0.611045 + 0.204631i
\(409\) 3.50607e19 0.905515 0.452758 0.891634i \(-0.350440\pi\)
0.452758 + 0.891634i \(0.350440\pi\)
\(410\) 8.47488e17 + 4.19554e18i 0.0214909 + 0.106392i
\(411\) 5.46209e19 4.14974e19i 1.36002 1.03325i
\(412\) −1.96138e19 4.65686e19i −0.479549 1.13858i
\(413\) 9.66551e18i 0.232059i
\(414\) 3.78713e19 + 2.73441e18i 0.892911 + 0.0644705i
\(415\) 2.68832e18i 0.0622474i
\(416\) 4.78719e19 + 3.09700e19i 1.08863 + 0.704274i
\(417\) 4.14370e18 3.14811e18i 0.0925482 0.0703119i
\(418\) −5.21485e19 + 1.05339e19i −1.14398 + 0.231082i
\(419\) 6.29350e19 1.35609 0.678043 0.735022i \(-0.262828\pi\)
0.678043 + 0.735022i \(0.262828\pi\)
\(420\) −2.50004e18 1.43962e18i −0.0529148 0.0304703i
\(421\) −6.75888e19 −1.40527 −0.702634 0.711551i \(-0.747993\pi\)
−0.702634 + 0.711551i \(0.747993\pi\)
\(422\) −6.63580e19 + 1.34042e19i −1.35535 + 0.273777i
\(423\) −2.46187e19 + 8.84742e19i −0.493983 + 1.77527i
\(424\) 3.92031e18 2.67023e18i 0.0772817 0.0526386i
\(425\) 3.20496e19i 0.620735i
\(426\) 6.34511e19 7.20854e19i 1.20744 1.37175i
\(427\) 6.68273e18i 0.124952i
\(428\) −5.05805e19 + 2.13035e19i −0.929297 + 0.391402i
\(429\) 3.69581e19 + 4.86462e19i 0.667237 + 0.878251i
\(430\) 3.47052e18 + 1.71810e19i 0.0615716 + 0.304814i
\(431\) 3.94732e18 0.0688213 0.0344106 0.999408i \(-0.489045\pi\)
0.0344106 + 0.999408i \(0.489045\pi\)
\(432\) 2.24702e19 5.38626e19i 0.385016 0.922910i
\(433\) −7.21093e19 −1.21432 −0.607159 0.794581i \(-0.707691\pi\)
−0.607159 + 0.794581i \(0.707691\pi\)
\(434\) 3.18264e18 + 1.57558e19i 0.0526762 + 0.260777i
\(435\) 6.09765e18 + 8.02604e18i 0.0991957 + 0.130566i
\(436\) 7.98927e19 3.36492e19i 1.27749 0.538055i
\(437\) 7.81429e19i 1.22823i
\(438\) −6.05663e19 + 6.88081e19i −0.935783 + 1.06312i
\(439\) 2.88017e19i 0.437455i 0.975786 + 0.218728i \(0.0701906\pi\)
−0.975786 + 0.218728i \(0.929809\pi\)
\(440\) −9.02325e18 + 6.14598e18i −0.134731 + 0.0917690i
\(441\) −1.64077e19 + 5.89657e19i −0.240856 + 0.865585i
\(442\) −5.67462e19 + 1.14626e19i −0.818973 + 0.165431i
\(443\) 1.56016e19 0.221381 0.110691 0.993855i \(-0.464694\pi\)
0.110691 + 0.993855i \(0.464694\pi\)
\(444\) −4.54401e19 2.61661e19i −0.633968 0.365063i
\(445\) −1.62501e19 −0.222923
\(446\) −3.83475e19 + 7.74610e18i −0.517280 + 0.104489i
\(447\) −1.82271e18 + 1.38478e18i −0.0241775 + 0.0183685i
\(448\) −2.27309e19 8.94495e18i −0.296505 0.116679i
\(449\) 3.01854e19i 0.387213i −0.981079 0.193606i \(-0.937982\pi\)
0.981079 0.193606i \(-0.0620184\pi\)
\(450\) 7.61581e19 + 5.49881e18i 0.960776 + 0.0693706i
\(451\) 3.88341e19i 0.481825i
\(452\) −5.91089e19 1.40341e20i −0.721298 1.71256i
\(453\) 4.07785e19 3.09808e19i 0.489435 0.371840i
\(454\) −1.02518e19 5.07521e19i −0.121027 0.599149i
\(455\) 6.81783e18 0.0791701
\(456\) −1.13893e20 3.81412e19i −1.30095 0.435670i
\(457\) 2.51719e19 0.282843 0.141421 0.989949i \(-0.454833\pi\)
0.141421 + 0.989949i \(0.454833\pi\)
\(458\) 2.45310e18 + 1.21442e19i 0.0271159 + 0.134239i
\(459\) 2.18870e19 + 5.50683e19i 0.238008 + 0.598834i
\(460\) −6.22436e18 1.47784e19i −0.0665903 0.158104i
\(461\) 6.57492e19i 0.692044i −0.938226 0.346022i \(-0.887532\pi\)
0.938226 0.346022i \(-0.112468\pi\)
\(462\) −1.96472e19 1.72938e19i −0.203463 0.179092i
\(463\) 1.03671e20i 1.05633i 0.849143 + 0.528163i \(0.177119\pi\)
−0.849143 + 0.528163i \(0.822881\pi\)
\(464\) 6.10618e19 + 5.96299e19i 0.612188 + 0.597832i
\(465\) 9.81158e18 + 1.29145e19i 0.0967925 + 0.127403i
\(466\) −8.48027e19 + 1.71299e19i −0.823219 + 0.166288i
\(467\) 2.32853e19 0.222436 0.111218 0.993796i \(-0.464525\pi\)
0.111218 + 0.993796i \(0.464525\pi\)
\(468\) 1.75020e19 + 1.36810e20i 0.164529 + 1.28610i
\(469\) −1.91478e19 −0.177142
\(470\) 3.80166e19 7.67927e18i 0.346130 0.0699175i
\(471\) −5.34195e19 7.03135e19i −0.478678 0.630060i
\(472\) 4.64875e19 + 6.82508e19i 0.409988 + 0.601926i
\(473\) 1.59028e20i 1.38043i
\(474\) 6.29303e19 + 5.53925e19i 0.537678 + 0.473275i
\(475\) 1.57143e20i 1.32158i
\(476\) 2.28582e19 9.62743e18i 0.189230 0.0796999i
\(477\) 1.10543e19 + 3.07595e18i 0.0900830 + 0.0250664i
\(478\) −8.79695e18 4.35498e19i −0.0705704 0.349363i
\(479\) 1.24139e20 0.980377 0.490188 0.871617i \(-0.336928\pi\)
0.490188 + 0.871617i \(0.336928\pi\)
\(480\) −2.45775e19 + 1.85871e18i −0.191086 + 0.0144512i
\(481\) 1.23920e20 0.948531
\(482\) −9.31069e17 4.60931e18i −0.00701663 0.0347362i
\(483\) 3.06121e19 2.32571e19i 0.227138 0.172565i
\(484\) 3.48617e19 1.46831e19i 0.254688 0.107270i
\(485\) 6.61245e18i 0.0475663i
\(486\) 1.34611e20 4.25610e19i 0.953477 0.301467i
\(487\) 1.13270e20i 0.790040i −0.918673 0.395020i \(-0.870738\pi\)
0.918673 0.395020i \(-0.129262\pi\)
\(488\) 3.21414e19 + 4.71886e19i 0.220758 + 0.324107i
\(489\) 3.35591e18 2.54959e18i 0.0226983 0.0172447i
\(490\) 2.53371e19 5.11803e18i 0.168766 0.0340904i
\(491\) −2.07059e20 −1.35826 −0.679130 0.734018i \(-0.737643\pi\)
−0.679130 + 0.734018i \(0.737643\pi\)
\(492\) −4.37502e19 + 7.59766e19i −0.282645 + 0.490842i
\(493\) −8.66592e19 −0.551395
\(494\) 2.78233e20 5.62024e19i 1.74364 0.352211i
\(495\) −2.54433e19 7.07982e18i −0.157049 0.0437002i
\(496\) 9.82532e19 + 9.59490e19i 0.597357 + 0.583348i
\(497\) 9.72338e19i 0.582297i
\(498\) 3.63825e19 4.13334e19i 0.214621 0.243827i
\(499\) 1.45331e20i 0.844509i −0.906477 0.422255i \(-0.861239\pi\)
0.906477 0.422255i \(-0.138761\pi\)
\(500\) −2.55112e19 6.05706e19i −0.146034 0.346727i
\(501\) −1.66037e20 2.18546e20i −0.936314 1.23242i
\(502\) −2.65530e19 1.31452e20i −0.147515 0.730279i
\(503\) −2.35769e20 −1.29041 −0.645203 0.764011i \(-0.723227\pi\)
−0.645203 + 0.764011i \(0.723227\pi\)
\(504\) −1.89554e19 5.59687e19i −0.102212 0.301798i
\(505\) 2.41248e19 0.128168
\(506\) −2.88065e19 1.42608e20i −0.150786 0.746475i
\(507\) −7.98915e19 1.05157e20i −0.412042 0.542350i
\(508\) 1.20517e20 + 2.86142e20i 0.612451 + 1.45413i
\(509\) 3.29459e20i 1.64975i 0.565314 + 0.824876i \(0.308755\pi\)
−0.565314 + 0.824876i \(0.691245\pi\)
\(510\) 1.65354e19 1.87856e19i 0.0815904 0.0926931i
\(511\) 9.28131e19i 0.451287i
\(512\) −2.03531e20 + 4.61645e19i −0.975229 + 0.221199i
\(513\) −1.07315e20 2.70006e20i −0.506732 1.27495i
\(514\) −4.56260e19 + 9.21634e18i −0.212319 + 0.0428879i
\(515\) −5.16232e19 −0.236751
\(516\) −1.79160e20 + 3.11129e20i −0.809781 + 1.40627i
\(517\) 3.51884e20 1.56755
\(518\) −5.20400e19 + 1.05119e19i −0.228488 + 0.0461541i
\(519\) 1.99969e20 1.51923e20i 0.865380 0.657458i
\(520\) 4.81426e19 3.27912e19i 0.205355 0.139873i
\(521\) 3.04901e20i 1.28197i 0.767555 + 0.640983i \(0.221473\pi\)
−0.767555 + 0.640983i \(0.778527\pi\)
\(522\) −1.48683e19 + 2.05924e20i −0.0616215 + 0.853452i
\(523\) 3.94730e20i 1.61264i 0.591479 + 0.806320i \(0.298544\pi\)
−0.591479 + 0.806320i \(0.701456\pi\)
\(524\) 2.09904e20 8.84076e19i 0.845350 0.356045i
\(525\) 6.15601e19 4.67693e19i 0.244402 0.185680i
\(526\) 4.06930e19 + 2.01453e20i 0.159267 + 0.788461i
\(527\) −1.39441e20 −0.538037
\(528\) −2.21911e20 2.76211e19i −0.844159 0.105072i
\(529\) −5.29415e19 −0.198554
\(530\) −9.59476e17 4.74994e18i −0.00354785 0.0175638i
\(531\) −5.35509e19 + 1.92450e20i −0.195235 + 0.701632i
\(532\) −1.12076e20 + 4.72044e19i −0.402881 + 0.169686i
\(533\) 2.07195e20i 0.734388i
\(534\) −2.49848e20 2.19921e20i −0.873204 0.768612i
\(535\) 5.60706e19i 0.193233i
\(536\) −1.35208e20 + 9.20935e19i −0.459478 + 0.312963i
\(537\) −6.51450e19 8.57471e19i −0.218310 0.287351i
\(538\) −1.43072e20 + 2.89003e19i −0.472813 + 0.0955070i
\(539\) 2.34521e20 0.764304
\(540\) −4.18022e19 4.25155e19i −0.134353 0.136645i
\(541\) −1.95036e20 −0.618209 −0.309104 0.951028i \(-0.600029\pi\)
−0.309104 + 0.951028i \(0.600029\pi\)
\(542\) 1.29177e20 2.60934e19i 0.403821 0.0815709i
\(543\) 1.23761e20 + 1.62901e20i 0.381580 + 0.502255i
\(544\) 1.15104e20 1.77921e20i 0.350024 0.541048i
\(545\) 8.85643e19i 0.265635i
\(546\) 1.04825e20 + 9.22694e19i 0.310114 + 0.272969i
\(547\) 1.38572e20i 0.404363i 0.979348 + 0.202182i \(0.0648031\pi\)
−0.979348 + 0.202182i \(0.935197\pi\)
\(548\) −2.30330e20 5.46867e20i −0.662973 1.57408i
\(549\) −3.70251e19 + 1.33060e20i −0.105124 + 0.377794i
\(550\) −5.79290e19 2.86781e20i −0.162247 0.803211i
\(551\) 4.24900e20 1.17395
\(552\) 1.04303e20 3.11457e20i 0.284285 0.848898i
\(553\) 8.48847e19 0.228240
\(554\) −1.18633e19 5.87297e19i −0.0314688 0.155788i
\(555\) −4.26553e19 + 3.24067e19i −0.111629 + 0.0848081i
\(556\) −1.74735e19 4.14869e19i −0.0451147 0.107115i
\(557\) 4.79131e20i 1.22051i 0.792206 + 0.610253i \(0.208932\pi\)
−0.792206 + 0.610253i \(0.791068\pi\)
\(558\) −2.39242e19 + 3.31348e20i −0.0601286 + 0.832776i
\(559\) 8.48478e20i 2.10403i
\(560\) −1.74358e19 + 1.78546e19i −0.0426612 + 0.0436856i
\(561\) 1.80799e20 1.37359e20i 0.436490 0.331616i
\(562\) 7.56354e20 1.52782e20i 1.80178 0.363956i
\(563\) 1.00595e20 0.236463 0.118232 0.992986i \(-0.462277\pi\)
0.118232 + 0.992986i \(0.462277\pi\)
\(564\) 6.88440e20 + 3.96430e20i 1.59688 + 0.919545i
\(565\) −1.55574e20 −0.356101
\(566\) −5.76608e20 + 1.16473e20i −1.30244 + 0.263090i
\(567\) 7.38344e19 1.22400e20i 0.164583 0.272840i
\(568\) −4.67658e20 6.86595e20i −1.02876 1.51039i
\(569\) 9.92056e19i 0.215375i −0.994185 0.107687i \(-0.965655\pi\)
0.994185 0.107687i \(-0.0343445\pi\)
\(570\) −8.10751e19 + 9.21077e19i −0.173710 + 0.197349i
\(571\) 6.09538e20i 1.28893i 0.764633 + 0.644466i \(0.222920\pi\)
−0.764633 + 0.644466i \(0.777080\pi\)
\(572\) 4.87047e20 2.05135e20i 1.01648 0.428124i
\(573\) 2.77385e20 + 3.65108e20i 0.571378 + 0.752076i
\(574\) 1.75761e19 + 8.70116e19i 0.0357342 + 0.176904i
\(575\) 4.29732e20 0.862360
\(576\) −4.03038e20 3.04042e20i −0.798320 0.602234i
\(577\) −8.52542e20 −1.66685 −0.833426 0.552630i \(-0.813624\pi\)
−0.833426 + 0.552630i \(0.813624\pi\)
\(578\) −5.99917e19 2.96992e20i −0.115780 0.573174i
\(579\) 1.26460e20 + 1.66453e20i 0.240915 + 0.317105i
\(580\) 8.03570e19 3.38448e19i 0.151117 0.0636476i
\(581\) 5.57534e19i 0.103502i
\(582\) −8.94898e19 + 1.01667e20i −0.164003 + 0.186320i
\(583\) 4.39657e19i 0.0795426i
\(584\) 4.46396e20 + 6.55379e20i 0.797304 + 1.17057i
\(585\) 1.35750e20 + 3.77736e19i 0.239371 + 0.0666070i
\(586\) −8.55576e20 + 1.72824e20i −1.48945 + 0.300866i
\(587\) −2.43095e20 −0.417822 −0.208911 0.977935i \(-0.566992\pi\)
−0.208911 + 0.977935i \(0.566992\pi\)
\(588\) 4.58827e20 + 2.64210e20i 0.778608 + 0.448352i
\(589\) 6.83696e20 1.14551
\(590\) 8.26943e19 1.67040e19i 0.136800 0.0276332i
\(591\) −7.09045e19 + 5.38685e19i −0.115816 + 0.0879891i
\(592\) −3.16910e20 + 3.24521e20i −0.511121 + 0.523395i
\(593\) 6.80668e20i 1.08399i −0.840382 0.541995i \(-0.817669\pi\)
0.840382 0.541995i \(-0.182331\pi\)
\(594\) −2.95380e20 4.53191e20i −0.464497 0.712661i
\(595\) 2.53393e19i 0.0393474i
\(596\) 7.68615e18 + 1.82491e19i 0.0117859 + 0.0279830i
\(597\) −1.03527e20 + 7.86526e19i −0.156763 + 0.119098i
\(598\) 1.53694e20 + 7.60871e20i 0.229825 + 1.13776i
\(599\) 3.33728e19 0.0492824 0.0246412 0.999696i \(-0.492156\pi\)
0.0246412 + 0.999696i \(0.492156\pi\)
\(600\) 2.09750e20 6.26332e20i 0.305892 0.913419i
\(601\) 4.44009e20 0.639489 0.319744 0.947504i \(-0.396403\pi\)
0.319744 + 0.947504i \(0.396403\pi\)
\(602\) 7.19754e19 + 3.56318e20i 0.102379 + 0.506832i
\(603\) −3.81251e20 1.06086e20i −0.535589 0.149032i
\(604\) −1.71958e20 4.08276e20i −0.238586 0.566470i
\(605\) 3.86456e19i 0.0529585i
\(606\) 3.70924e20 + 3.26495e20i 0.502042 + 0.441907i
\(607\) 5.34672e19i 0.0714780i 0.999361 + 0.0357390i \(0.0113785\pi\)
−0.999361 + 0.0357390i \(0.988621\pi\)
\(608\) −5.64366e20 + 8.72368e20i −0.745220 + 1.15192i
\(609\) 1.26460e20 + 1.66453e20i 0.164939 + 0.217101i
\(610\) 5.71748e19 1.15492e19i 0.0736598 0.0148791i
\(611\) −1.87744e21 −2.38922
\(612\) 5.08470e20 6.50481e19i 0.639190 0.0817710i
\(613\) −1.20047e21 −1.49072 −0.745361 0.666661i \(-0.767723\pi\)
−0.745361 + 0.666661i \(0.767723\pi\)
\(614\) −5.05575e20 + 1.02125e20i −0.620187 + 0.125276i
\(615\) 5.41845e19 + 7.13204e19i 0.0656616 + 0.0864271i
\(616\) −1.87134e20 + 1.27462e20i −0.224026 + 0.152590i
\(617\) 3.16260e20i 0.374030i −0.982357 0.187015i \(-0.940119\pi\)
0.982357 0.187015i \(-0.0598812\pi\)
\(618\) −7.93716e20 6.98645e20i −0.927367 0.816288i
\(619\) 5.05346e20i 0.583322i −0.956522 0.291661i \(-0.905792\pi\)
0.956522 0.291661i \(-0.0942080\pi\)
\(620\) 1.29300e20 5.44589e19i 0.147456 0.0621056i
\(621\) 7.38373e20 2.93468e20i 0.831934 0.330654i
\(622\) 1.61606e20 + 8.00039e20i 0.179899 + 0.890601i
\(623\) −3.37012e20 −0.370668
\(624\) 1.18398e21 + 1.47369e20i 1.28665 + 0.160149i
\(625\) 8.29977e20 0.891181
\(626\) 1.35496e20 + 6.70783e20i 0.143754 + 0.711663i
\(627\) −8.86478e20 + 6.73487e20i −0.929311 + 0.706029i
\(628\) −7.03982e20 + 2.96503e20i −0.729229 + 0.307137i
\(629\) 4.60561e20i 0.471419i
\(630\) −6.02125e19 4.34750e18i −0.0609022 0.00439730i
\(631\) 1.43095e21i 1.43022i −0.699010 0.715112i \(-0.746376\pi\)
0.699010 0.715112i \(-0.253624\pi\)
\(632\) 5.99394e20 4.08264e20i 0.592018 0.403239i
\(633\) −1.12803e21 + 8.57000e20i −1.10101 + 0.836475i
\(634\) 1.94296e21 3.92472e20i 1.87410 0.378564i
\(635\) 3.17200e20 0.302364
\(636\) 4.95314e19 8.60162e19i 0.0466608 0.0810312i
\(637\) −1.25126e21 −1.16494
\(638\) 7.75428e20 1.56635e20i 0.713487 0.144123i
\(639\) 5.38716e20 1.93603e21i 0.489895 1.76058i
\(640\) −3.72456e19 + 2.09936e20i −0.0334754 + 0.188685i
\(641\) 2.62366e20i 0.233062i 0.993187 + 0.116531i \(0.0371775\pi\)
−0.993187 + 0.116531i \(0.962823\pi\)
\(642\) −7.58833e20 + 8.62094e20i −0.666244 + 0.756906i
\(643\) 1.31607e21i 1.14208i 0.820923 + 0.571039i \(0.193460\pi\)
−0.820923 + 0.571039i \(0.806540\pi\)
\(644\) −1.29088e20 3.06490e20i −0.110724 0.262889i
\(645\) 2.21889e20 + 2.92061e20i 0.188121 + 0.247615i
\(646\) −2.08882e20 1.03408e21i −0.175048 0.866587i
\(647\) 1.95960e21 1.62325 0.811625 0.584179i \(-0.198583\pi\)
0.811625 + 0.584179i \(0.198583\pi\)
\(648\) −6.73319e19 1.21941e21i −0.0551325 0.998479i
\(649\) 7.65422e20 0.619535
\(650\) 3.09074e20 + 1.53009e21i 0.247293 + 1.22424i
\(651\) 2.03483e20 + 2.67835e20i 0.160943 + 0.211841i
\(652\) −1.41514e19 3.35995e19i −0.0110648 0.0262709i
\(653\) 1.59848e21i 1.23555i −0.786356 0.617773i \(-0.788035\pi\)
0.786356 0.617773i \(-0.211965\pi\)
\(654\) 1.19859e21 1.36169e21i 0.915877 1.04051i
\(655\) 2.32688e20i 0.175778i
\(656\) 5.42603e20 + 5.29879e20i 0.405232 + 0.395729i
\(657\) −5.14223e20 + 1.84800e21i −0.379674 + 1.36447i
\(658\) 7.88431e20 1.59261e20i 0.575532 0.116256i
\(659\) 4.07387e20 0.294013 0.147006 0.989136i \(-0.453036\pi\)
0.147006 + 0.989136i \(0.453036\pi\)
\(660\) −1.14005e20 + 1.97981e20i −0.0813474 + 0.141268i
\(661\) 2.34291e21 1.65289 0.826445 0.563017i \(-0.190359\pi\)
0.826445 + 0.563017i \(0.190359\pi\)
\(662\) −5.98790e20 + 1.20954e20i −0.417676 + 0.0843696i
\(663\) −9.64634e20 + 7.32865e20i −0.665290 + 0.505443i
\(664\) −2.68153e20 3.93690e20i −0.182861 0.268469i
\(665\) 1.24241e20i 0.0837729i
\(666\) −1.09441e21 7.90193e19i −0.729665 0.0526837i
\(667\) 1.16195e21i 0.766029i
\(668\) −2.18809e21 + 9.21582e20i −1.42640 + 0.600773i
\(669\) −6.51873e20 + 4.95250e20i −0.420211 + 0.319248i
\(670\) 3.30914e19 + 1.63821e20i 0.0210938 + 0.104426i
\(671\) 5.29213e20 0.333589
\(672\) −5.09714e20 + 3.85481e19i −0.317729 + 0.0240289i
\(673\) 1.04917e21 0.646746 0.323373 0.946272i \(-0.395183\pi\)
0.323373 + 0.946272i \(0.395183\pi\)
\(674\) −3.03105e20 1.50054e21i −0.184775 0.914740i
\(675\) 1.48485e21 5.90156e20i 0.895165 0.355786i
\(676\) −1.05284e21 + 4.43435e20i −0.627714 + 0.264381i
\(677\) 8.49037e20i 0.500624i −0.968165 0.250312i \(-0.919467\pi\)
0.968165 0.250312i \(-0.0805332\pi\)
\(678\) −2.39197e21 2.10546e21i −1.39487 1.22779i
\(679\) 1.37136e20i 0.0790913i
\(680\) −1.21872e20 1.78927e20i −0.0695165 0.102061i
\(681\) −6.55452e20 8.62739e20i −0.369775 0.486717i
\(682\) 1.24772e21 2.52037e20i 0.696202 0.140631i
\(683\) 2.85892e20 0.157778 0.0788889 0.996883i \(-0.474863\pi\)
0.0788889 + 0.996883i \(0.474863\pi\)
\(684\) −2.49309e21 + 3.18938e20i −1.36087 + 0.174095i
\(685\) −6.06225e20 −0.327306
\(686\) 1.11031e21 2.24281e20i 0.592946 0.119774i
\(687\) 1.56840e20 + 2.06441e20i 0.0828478 + 0.109049i
\(688\) 2.22199e21 + 2.16989e21i 1.16099 + 1.13377i
\(689\) 2.34574e20i 0.121237i
\(690\) −2.51883e20 2.21712e20i −0.128775 0.113350i
\(691\) 1.38315e21i 0.699496i 0.936844 + 0.349748i \(0.113733\pi\)
−0.936844 + 0.349748i \(0.886267\pi\)
\(692\) −8.43243e20 2.00209e21i −0.421849 1.00159i
\(693\) −5.27671e20 1.46829e20i −0.261134 0.0726629i
\(694\) −6.12160e20 3.03053e21i −0.299688 1.48362i
\(695\) −4.59899e19 −0.0222729
\(696\) 1.69354e21 + 5.67145e20i 0.811384 + 0.271722i
\(697\) −7.70065e20 −0.364990
\(698\) −4.09261e20 2.02607e21i −0.191904 0.950033i
\(699\) −1.44157e21 + 1.09521e21i −0.668740 + 0.508064i
\(700\) −2.59591e20 6.16342e20i −0.119139 0.282870i
\(701\) 5.12041e20i 0.232498i 0.993220 + 0.116249i \(0.0370871\pi\)
−0.993220 + 0.116249i \(0.962913\pi\)
\(702\) 1.57597e21 + 2.41796e21i 0.707978 + 1.08623i
\(703\) 2.25818e21i 1.00368i
\(704\) −7.08361e20 + 1.80009e21i −0.311501 + 0.791588i
\(705\) 6.46249e20 4.90977e20i 0.281178 0.213620i
\(706\) −7.54720e20 + 1.52452e20i −0.324901 + 0.0656292i
\(707\) 5.00328e20 0.213112
\(708\) 1.49750e21 + 8.62319e20i 0.631129 + 0.363428i
\(709\) −3.47919e21 −1.45088 −0.725440 0.688285i \(-0.758364\pi\)
−0.725440 + 0.688285i \(0.758364\pi\)
\(710\) −8.31895e20 + 1.68041e20i −0.343266 + 0.0693389i
\(711\) 1.69014e21 + 4.70296e20i 0.690083 + 0.192021i
\(712\) −2.37973e21 + 1.62090e21i −0.961454 + 0.654872i
\(713\) 1.86967e21i 0.747471i
\(714\) 3.42930e20 3.89595e20i 0.135665 0.154126i
\(715\) 5.39912e20i 0.211362i
\(716\) −8.58503e20 + 3.61585e20i −0.332579 + 0.140076i
\(717\) −5.62436e20 7.40307e20i −0.215615 0.283804i
\(718\) 2.99129e20 + 1.48086e21i 0.113482 + 0.561797i
\(719\) −8.54186e20 −0.320690 −0.160345 0.987061i \(-0.551261\pi\)
−0.160345 + 0.987061i \(0.551261\pi\)
\(720\) −4.46087e20 + 2.58901e20i −0.165739 + 0.0961921i
\(721\) −1.07062e21 −0.393659
\(722\) 4.80059e20 + 2.37656e21i 0.174689 + 0.864808i
\(723\) −5.95282e19 7.83541e19i −0.0214381 0.0282179i
\(724\) 1.63097e21 6.86932e20i 0.581308 0.244835i
\(725\) 2.33666e21i 0.824251i
\(726\) 5.23012e20 5.94183e20i 0.182594 0.207442i
\(727\) 3.69552e21i 1.27693i −0.769651 0.638465i \(-0.779570\pi\)
0.769651 0.638465i \(-0.220430\pi\)
\(728\) 9.98434e20 6.80060e20i 0.341456 0.232574i
\(729\) 2.14827e21 2.02803e21i 0.727162 0.686465i
\(730\) 7.94073e20 1.60401e20i 0.266035 0.0537384i
\(731\) −3.15346e21 −1.04570
\(732\) 1.03537e21 + 5.96207e20i 0.339832 + 0.195688i
\(733\) 3.61825e21 1.17549 0.587745 0.809046i \(-0.300016\pi\)
0.587745 + 0.809046i \(0.300016\pi\)
\(734\) 3.95459e21 7.98817e20i 1.27169 0.256878i
\(735\) 4.30707e20 3.27223e20i 0.137097 0.104157i
\(736\) −2.38562e21 1.54335e21i −0.751655 0.486273i
\(737\) 1.51633e21i 0.472921i
\(738\) −1.32121e20 + 1.82987e21i −0.0407897 + 0.564934i
\(739\) 3.74316e21i 1.14395i −0.820273 0.571973i \(-0.806178\pi\)
0.820273 0.571973i \(-0.193822\pi\)
\(740\) 1.79872e20 + 4.27067e20i 0.0544160 + 0.129199i
\(741\) 4.72971e21 3.59332e21i 1.41644 1.07612i
\(742\) −1.98987e19 9.85094e19i −0.00589922 0.0292044i
\(743\) −6.23817e20 −0.183080 −0.0915401 0.995801i \(-0.529179\pi\)
−0.0915401 + 0.995801i \(0.529179\pi\)
\(744\) 2.72504e21 + 9.12579e20i 0.791727 + 0.265139i
\(745\) 2.02298e19 0.00581863
\(746\) −2.34063e20 1.15874e21i −0.0666488 0.329949i
\(747\) 3.08897e20 1.11011e21i 0.0870781 0.312940i
\(748\) −7.62407e20 1.81017e21i −0.212777 0.505192i
\(749\) 1.16285e21i 0.321300i
\(750\) −1.03237e21 9.08711e20i −0.282406 0.248580i
\(751\) 1.37628e21i 0.372741i −0.982479 0.186371i \(-0.940327\pi\)
0.982479 0.186371i \(-0.0596725\pi\)
\(752\) 4.80134e21 4.91664e21i 1.28745 1.31836i
\(753\) −1.69767e21 2.23456e21i −0.450704 0.593240i
\(754\) −4.13722e21 + 8.35707e20i −1.08748 + 0.219669i
\(755\) −4.52591e20 −0.117789
\(756\) −8.66941e20 8.81732e20i −0.223396 0.227208i
\(757\) −5.99725e20 −0.153015 −0.0765073 0.997069i \(-0.524377\pi\)
−0.0765073 + 0.997069i \(0.524377\pi\)
\(758\) −4.36862e21 + 8.82451e20i −1.10363 + 0.222931i
\(759\) −1.84175e21 2.42421e21i −0.460700 0.606397i
\(760\) 5.97554e20 + 8.77302e20i 0.148004 + 0.217294i
\(761\) 2.91406e21i 0.714684i −0.933974 0.357342i \(-0.883683\pi\)
0.933974 0.357342i \(-0.116317\pi\)
\(762\) 4.87700e21 + 4.29284e21i 1.18438 + 1.04251i
\(763\) 1.83674e21i 0.441687i
\(764\) 3.65548e21 1.53962e21i 0.870450