Properties

Label 12.20.b.a.11.16
Level 12
Weight 20
Character 12.11
Analytic conductor 27.458
Analytic rank 0
Dimension 36
CM No

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Newspace parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 20 \)
Character orbit: \([\chi]\) = 12.b (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(27.4580035868\)
Analytic rank: \(0\)
Dimension: \(36\)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) = 12.11
Dual form 12.20.b.a.11.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-183.227 + 700.511i) q^{2} +(22981.7 - 25181.4i) q^{3} +(-457144. - 256705. i) q^{4} -6.84881e6i q^{5} +(1.34289e7 + 2.07129e7i) q^{6} -8.10387e7i q^{7} +(2.63586e8 - 2.73199e8i) q^{8} +(-1.05940e8 - 1.15742e9i) q^{9} +O(q^{10})\) \(q+(-183.227 + 700.511i) q^{2} +(22981.7 - 25181.4i) q^{3} +(-457144. - 256705. i) q^{4} -6.84881e6i q^{5} +(1.34289e7 + 2.07129e7i) q^{6} -8.10387e7i q^{7} +(2.63586e8 - 2.73199e8i) q^{8} +(-1.05940e8 - 1.15742e9i) q^{9} +(4.79767e9 + 1.25489e9i) q^{10} -1.02621e10 q^{11} +(-1.69701e10 + 5.61196e9i) q^{12} -9.13471e9 q^{13} +(5.67685e10 + 1.48485e10i) q^{14} +(-1.72462e11 - 1.57398e11i) q^{15} +(1.43083e11 + 2.34702e11i) q^{16} +6.29700e11i q^{17} +(8.30199e11 + 1.37859e11i) q^{18} +2.01024e12i q^{19} +(-1.75813e12 + 3.13089e12i) q^{20} +(-2.04066e12 - 1.86241e12i) q^{21} +(1.88029e12 - 7.18871e12i) q^{22} +2.86699e12 q^{23} +(-8.21847e11 - 1.29160e13i) q^{24} -2.78327e13 q^{25} +(1.67373e12 - 6.39897e12i) q^{26} +(-3.15802e13 - 2.39319e13i) q^{27} +(-2.08031e13 + 3.70463e13i) q^{28} -8.26930e12i q^{29} +(1.41859e14 - 9.19723e13i) q^{30} -1.75199e14i q^{31} +(-1.90628e14 + 5.72271e13i) q^{32} +(-2.35841e14 + 2.58413e14i) q^{33} +(-4.41112e14 - 1.15378e14i) q^{34} -5.55019e14 q^{35} +(-2.48687e14 + 5.56304e14i) q^{36} +1.30858e15 q^{37} +(-1.40819e15 - 3.68330e14i) q^{38} +(-2.09932e14 + 2.30024e14i) q^{39} +(-1.87109e15 - 1.80525e15i) q^{40} +5.00469e14i q^{41} +(1.67855e15 - 1.08826e15i) q^{42} -2.29241e15i q^{43} +(4.69125e15 + 2.63433e15i) q^{44} +(-7.92697e15 + 7.25563e14i) q^{45} +(-5.25311e14 + 2.00836e15i) q^{46} -8.03815e15 q^{47} +(9.19841e15 + 1.79086e15i) q^{48} +4.83162e15 q^{49} +(5.09972e15 - 1.94971e16i) q^{50} +(1.58567e16 + 1.44716e16i) q^{51} +(4.17587e15 + 2.34493e15i) q^{52} -2.50512e16i q^{53} +(2.25509e16 - 1.77373e16i) q^{54} +7.02831e16i q^{55} +(-2.21397e16 - 2.13607e16i) q^{56} +(5.06204e16 + 4.61987e16i) q^{57} +(5.79274e15 + 1.51516e15i) q^{58} -6.40298e16 q^{59} +(3.84353e16 + 1.16225e17i) q^{60} +4.18164e16 q^{61} +(1.22729e17 + 3.21012e16i) q^{62} +(-9.37961e16 + 8.58524e15i) q^{63} +(-5.15994e15 - 1.44023e17i) q^{64} +6.25619e16i q^{65} +(-1.37809e17 - 2.12557e17i) q^{66} +8.57571e16i q^{67} +(1.61647e17 - 2.87863e17i) q^{68} +(6.58885e16 - 7.21947e16i) q^{69} +(1.01695e17 - 3.88797e17i) q^{70} -5.20730e17 q^{71} +(-3.44131e17 - 2.76138e17i) q^{72} -3.77163e17 q^{73} +(-2.39767e17 + 9.16672e17i) q^{74} +(-6.39645e17 + 7.00866e17i) q^{75} +(5.16038e17 - 9.18966e17i) q^{76} +8.31627e17i q^{77} +(-1.22669e17 - 1.89206e17i) q^{78} +4.09547e17i q^{79} +(1.60743e18 - 9.79946e17i) q^{80} +(-1.32841e18 + 2.45235e17i) q^{81} +(-3.50584e17 - 9.16996e16i) q^{82} -1.71020e18 q^{83} +(4.54786e17 + 1.37524e18i) q^{84} +4.31270e18 q^{85} +(1.60586e18 + 4.20032e17i) q^{86} +(-2.08232e17 - 1.90043e17i) q^{87} +(-2.70494e18 + 2.80359e18i) q^{88} -6.97699e17i q^{89} +(9.44172e17 - 5.68588e18i) q^{90} +7.40265e17i q^{91} +(-1.31063e18 - 7.35972e17i) q^{92} +(-4.41174e18 - 4.02637e18i) q^{93} +(1.47281e18 - 5.63081e18i) q^{94} +1.37677e19 q^{95} +(-2.93991e18 + 6.11546e18i) q^{96} +8.71166e18 q^{97} +(-8.85285e17 + 3.38460e18i) q^{98} +(1.08717e18 + 1.18776e19i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} + O(q^{10}) \) \( 36q - 47880q^{4} + 21771144q^{6} - 809473644q^{9} - 4162950000q^{10} - 2268767880q^{12} - 25913431656q^{13} + 791689296672q^{16} + 2852271258192q^{18} - 1650825908424q^{21} + 7247870602416q^{22} + 23719435803936q^{24} - 118879690462380q^{25} - 7629081673968q^{28} + 37456727138640q^{30} + 529254701828640q^{33} - 248241675948480q^{34} - 1177548745309416q^{36} + 1847838600168120q^{37} - 40433256181440q^{40} - 2709671988768336q^{42} - 4365410114088000q^{45} + 17206125364795104q^{46} + 1561106052682272q^{48} - 49399737041580084q^{49} + 16558671470242896q^{52} + 40087412948587896q^{54} + 44803667812766472q^{57} - 34645536255764880q^{58} + 50260381053157440q^{60} + 174742350239997144q^{61} - 139766490424918656q^{64} - 87772097712685968q^{66} - 957190369821780672q^{69} + 244663962371376480q^{70} + 54134736422921280q^{72} - 1445122541399481432q^{73} + 2744130151937256048q^{76} + 1125465917961999024q^{78} + 1033298241353042436q^{81} + 1064985418859680800q^{82} + 1920709484261873424q^{84} - 1802899595088057600q^{85} - 9209792381828477760q^{88} - 5194944179528261040q^{90} + 6719944190337314136q^{93} - 3835186345170303552q^{94} - 11947184361208227456q^{96} + 12765226159947004488q^{97} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −183.227 + 700.511i −0.253049 + 0.967453i
\(3\) 22981.7 25181.4i 0.674111 0.738630i
\(4\) −457144. 256705.i −0.871932 0.489627i
\(5\) 6.84881e6i 1.56820i −0.620637 0.784098i \(-0.713126\pi\)
0.620637 0.784098i \(-0.286874\pi\)
\(6\) 1.34289e7 + 2.07129e7i 0.544007 + 0.839080i
\(7\) 8.10387e7i 0.759034i −0.925185 0.379517i \(-0.876090\pi\)
0.925185 0.379517i \(-0.123910\pi\)
\(8\) 2.63586e8 2.73199e8i 0.694333 0.719654i
\(9\) −1.05940e8 1.15742e9i −0.0911499 0.995837i
\(10\) 4.79767e9 + 1.25489e9i 1.51716 + 0.396831i
\(11\) −1.02621e10 −1.31222 −0.656108 0.754667i \(-0.727798\pi\)
−0.656108 + 0.754667i \(0.727798\pi\)
\(12\) −1.69701e10 + 5.61196e9i −0.949432 + 0.313973i
\(13\) −9.13471e9 −0.238909 −0.119455 0.992840i \(-0.538115\pi\)
−0.119455 + 0.992840i \(0.538115\pi\)
\(14\) 5.67685e10 + 1.48485e10i 0.734330 + 0.192073i
\(15\) −1.72462e11 1.57398e11i −1.15832 1.05714i
\(16\) 1.43083e11 + 2.34702e11i 0.520532 + 0.853842i
\(17\) 6.29700e11i 1.28786i 0.765084 + 0.643930i \(0.222697\pi\)
−0.765084 + 0.643930i \(0.777303\pi\)
\(18\) 8.30199e11 + 1.37859e11i 0.986491 + 0.163813i
\(19\) 2.01024e12i 1.42918i 0.699542 + 0.714591i \(0.253387\pi\)
−0.699542 + 0.714591i \(0.746613\pi\)
\(20\) −1.75813e12 + 3.13089e12i −0.767830 + 1.36736i
\(21\) −2.04066e12 1.86241e12i −0.560646 0.511673i
\(22\) 1.88029e12 7.18871e12i 0.332055 1.26951i
\(23\) 2.86699e12 0.331904 0.165952 0.986134i \(-0.446930\pi\)
0.165952 + 0.986134i \(0.446930\pi\)
\(24\) −8.21847e11 1.29160e13i −0.0635015 0.997982i
\(25\) −2.78327e13 −1.45924
\(26\) 1.67373e12 6.39897e12i 0.0604558 0.231134i
\(27\) −3.15802e13 2.39319e13i −0.797001 0.603978i
\(28\) −2.08031e13 + 3.70463e13i −0.371643 + 0.661826i
\(29\) 8.26930e12i 0.105849i −0.998599 0.0529246i \(-0.983146\pi\)
0.998599 0.0529246i \(-0.0168543\pi\)
\(30\) 1.41859e14 9.19723e13i 1.31584 0.853110i
\(31\) 1.75199e14i 1.19013i −0.803677 0.595065i \(-0.797126\pi\)
0.803677 0.595065i \(-0.202874\pi\)
\(32\) −1.90628e14 + 5.72271e13i −0.957773 + 0.287526i
\(33\) −2.35841e14 + 2.58413e14i −0.884579 + 0.969243i
\(34\) −4.41112e14 1.15378e14i −1.24595 0.325892i
\(35\) −5.55019e14 −1.19031
\(36\) −2.48687e14 + 5.56304e14i −0.408112 + 0.912932i
\(37\) 1.30858e15 1.65532 0.827661 0.561228i \(-0.189671\pi\)
0.827661 + 0.561228i \(0.189671\pi\)
\(38\) −1.40819e15 3.68330e14i −1.38267 0.361653i
\(39\) −2.09932e14 + 2.30024e14i −0.161051 + 0.176466i
\(40\) −1.87109e15 1.80525e15i −1.12856 1.08885i
\(41\) 5.00469e14i 0.238743i 0.992850 + 0.119372i \(0.0380880\pi\)
−0.992850 + 0.119372i \(0.961912\pi\)
\(42\) 1.67855e15 1.08826e15i 0.636890 0.412920i
\(43\) 2.29241e15i 0.695573i −0.937574 0.347786i \(-0.886933\pi\)
0.937574 0.347786i \(-0.113067\pi\)
\(44\) 4.69125e15 + 2.63433e15i 1.14416 + 0.642496i
\(45\) −7.92697e15 + 7.25563e14i −1.56167 + 0.142941i
\(46\) −5.25311e14 + 2.00836e15i −0.0839879 + 0.321101i
\(47\) −8.03815e15 −1.04767 −0.523837 0.851818i \(-0.675500\pi\)
−0.523837 + 0.851818i \(0.675500\pi\)
\(48\) 9.19841e15 + 1.79086e15i 0.981570 + 0.191104i
\(49\) 4.83162e15 0.423868
\(50\) 5.09972e15 1.94971e16i 0.369259 1.41174i
\(51\) 1.58567e16 + 1.44716e16i 0.951253 + 0.868161i
\(52\) 4.17587e15 + 2.34493e15i 0.208313 + 0.116976i
\(53\) 2.50512e16i 1.04281i −0.853308 0.521407i \(-0.825407\pi\)
0.853308 0.521407i \(-0.174593\pi\)
\(54\) 2.25509e16 1.77373e16i 0.786001 0.618225i
\(55\) 7.02831e16i 2.05781i
\(56\) −2.21397e16 2.13607e16i −0.546242 0.527022i
\(57\) 5.06204e16 + 4.61987e16i 1.05564 + 0.963427i
\(58\) 5.79274e15 + 1.51516e15i 0.102404 + 0.0267851i
\(59\) −6.40298e16 −0.962250 −0.481125 0.876652i \(-0.659772\pi\)
−0.481125 + 0.876652i \(0.659772\pi\)
\(60\) 3.84353e16 + 1.16225e17i 0.492371 + 1.48889i
\(61\) 4.18164e16 0.457840 0.228920 0.973445i \(-0.426481\pi\)
0.228920 + 0.973445i \(0.426481\pi\)
\(62\) 1.22729e17 + 3.21012e16i 1.15140 + 0.301162i
\(63\) −9.37961e16 + 8.58524e15i −0.755874 + 0.0691859i
\(64\) −5.15994e15 1.44023e17i −0.0358043 0.999359i
\(65\) 6.25619e16i 0.374656i
\(66\) −1.37809e17 2.12557e17i −0.713855 1.10105i
\(67\) 8.57571e16i 0.385088i 0.981288 + 0.192544i \(0.0616737\pi\)
−0.981288 + 0.192544i \(0.938326\pi\)
\(68\) 1.61647e17 2.87863e17i 0.630571 1.12293i
\(69\) 6.58885e16 7.21947e16i 0.223740 0.245154i
\(70\) 1.01695e17 3.88797e17i 0.301208 1.15157i
\(71\) −5.20730e17 −1.34790 −0.673951 0.738776i \(-0.735404\pi\)
−0.673951 + 0.738776i \(0.735404\pi\)
\(72\) −3.44131e17 2.76138e17i −0.779947 0.625846i
\(73\) −3.77163e17 −0.749828 −0.374914 0.927060i \(-0.622328\pi\)
−0.374914 + 0.927060i \(0.622328\pi\)
\(74\) −2.39767e17 + 9.16672e17i −0.418878 + 1.60145i
\(75\) −6.39645e17 + 7.00866e17i −0.983687 + 1.07784i
\(76\) 5.16038e17 9.18966e17i 0.699766 1.24615i
\(77\) 8.31627e17i 0.996017i
\(78\) −1.22669e17 1.89206e17i −0.129968 0.200464i
\(79\) 4.09547e17i 0.384455i 0.981350 + 0.192228i \(0.0615712\pi\)
−0.981350 + 0.192228i \(0.938429\pi\)
\(80\) 1.60743e18 9.79946e17i 1.33899 0.816295i
\(81\) −1.32841e18 + 2.45235e17i −0.983383 + 0.181541i
\(82\) −3.50584e17 9.16996e16i −0.230973 0.0604138i
\(83\) −1.71020e18 −1.00417 −0.502083 0.864820i \(-0.667433\pi\)
−0.502083 + 0.864820i \(0.667433\pi\)
\(84\) 4.54786e17 + 1.37524e18i 0.238316 + 0.720651i
\(85\) 4.31270e18 2.01962
\(86\) 1.60586e18 + 4.20032e17i 0.672934 + 0.176014i
\(87\) −2.08232e17 1.90043e17i −0.0781835 0.0713541i
\(88\) −2.70494e18 + 2.80359e18i −0.911115 + 0.944342i
\(89\) 6.97699e17i 0.211088i −0.994415 0.105544i \(-0.966342\pi\)
0.994415 0.105544i \(-0.0336584\pi\)
\(90\) 9.44172e17 5.68588e18i 0.256890 1.54701i
\(91\) 7.40265e17i 0.181340i
\(92\) −1.31063e18 7.35972e17i −0.289397 0.162509i
\(93\) −4.41174e18 4.02637e18i −0.879067 0.802280i
\(94\) 1.47281e18 5.63081e18i 0.265113 1.01358i
\(95\) 1.37677e19 2.24124
\(96\) −2.93991e18 + 6.11546e18i −0.433269 + 0.901264i
\(97\) 8.71166e18 1.16351 0.581754 0.813365i \(-0.302367\pi\)
0.581754 + 0.813365i \(0.302367\pi\)
\(98\) −8.85285e17 + 3.38460e18i −0.107259 + 0.410072i
\(99\) 1.08717e18 + 1.18776e19i 0.119608 + 1.30675i
\(100\) 1.27236e19 + 7.14482e18i 1.27236 + 0.714482i
\(101\) 1.96631e18i 0.178895i −0.995992 0.0894475i \(-0.971490\pi\)
0.995992 0.0894475i \(-0.0285101\pi\)
\(102\) −1.30429e19 + 8.45620e18i −1.08062 + 0.700606i
\(103\) 2.49155e19i 1.88155i −0.339030 0.940776i \(-0.610099\pi\)
0.339030 0.940776i \(-0.389901\pi\)
\(104\) −2.40778e18 + 2.49559e18i −0.165882 + 0.171932i
\(105\) −1.27553e19 + 1.39761e19i −0.802403 + 0.879202i
\(106\) 1.75486e19 + 4.59005e18i 1.00887 + 0.263883i
\(107\) −2.19584e19 −1.15466 −0.577331 0.816510i \(-0.695906\pi\)
−0.577331 + 0.816510i \(0.695906\pi\)
\(108\) 8.29323e18 + 1.90471e19i 0.399207 + 0.916861i
\(109\) −2.49210e19 −1.09904 −0.549519 0.835481i \(-0.685189\pi\)
−0.549519 + 0.835481i \(0.685189\pi\)
\(110\) −4.92341e19 1.28778e19i −1.99084 0.520728i
\(111\) 3.00734e19 3.29517e19i 1.11587 1.22267i
\(112\) 1.90200e19 1.15952e19i 0.648095 0.395101i
\(113\) 3.46953e19i 1.08649i −0.839575 0.543245i \(-0.817196\pi\)
0.839575 0.543245i \(-0.182804\pi\)
\(114\) −4.16378e19 + 2.69953e19i −1.19920 + 0.777486i
\(115\) 1.96355e19i 0.520490i
\(116\) −2.12277e18 + 3.78026e18i −0.0518266 + 0.0922934i
\(117\) 9.67731e17 + 1.05727e19i 0.0217766 + 0.237915i
\(118\) 1.17320e19 4.48536e19i 0.243497 0.930932i
\(119\) 5.10301e19 0.977530
\(120\) −8.84595e19 + 5.62867e18i −1.56503 + 0.0995828i
\(121\) 4.41514e19 0.721911
\(122\) −7.66190e18 + 2.92929e19i −0.115856 + 0.442939i
\(123\) 1.26025e19 + 1.15017e19i 0.176343 + 0.160939i
\(124\) −4.49744e19 + 8.00909e19i −0.582720 + 1.03771i
\(125\) 5.99905e19i 0.720174i
\(126\) 1.11719e19 6.72782e19i 0.124339 0.748780i
\(127\) 7.57642e19i 0.782219i −0.920344 0.391110i \(-0.872091\pi\)
0.920344 0.391110i \(-0.127909\pi\)
\(128\) 1.01835e20 + 2.27743e19i 0.975893 + 0.218248i
\(129\) −5.77261e19 5.26837e19i −0.513771 0.468893i
\(130\) −4.38253e19 1.14630e19i −0.362463 0.0948065i
\(131\) −4.27587e19 −0.328812 −0.164406 0.986393i \(-0.552571\pi\)
−0.164406 + 0.986393i \(0.552571\pi\)
\(132\) 1.74149e20 5.75904e19i 1.24586 0.412001i
\(133\) 1.62907e20 1.08480
\(134\) −6.00738e19 1.57130e19i −0.372554 0.0974461i
\(135\) −1.63905e20 + 2.16287e20i −0.947156 + 1.24985i
\(136\) 1.72033e20 + 1.65980e20i 0.926815 + 0.894204i
\(137\) 1.49892e20i 0.753239i −0.926368 0.376619i \(-0.877086\pi\)
0.926368 0.376619i \(-0.122914\pi\)
\(138\) 3.85007e19 + 5.93837e19i 0.180558 + 0.278494i
\(139\) 3.48808e20i 1.52738i 0.645585 + 0.763688i \(0.276614\pi\)
−0.645585 + 0.763688i \(0.723386\pi\)
\(140\) 2.53723e20 + 1.42476e20i 1.03787 + 0.582809i
\(141\) −1.84731e20 + 2.02412e20i −0.706249 + 0.773844i
\(142\) 9.54120e19 3.64777e20i 0.341086 1.30403i
\(143\) 9.37412e19 0.313501
\(144\) 2.56492e20 1.90472e20i 0.802842 0.596192i
\(145\) −5.66349e19 −0.165992
\(146\) 6.91064e19 2.64207e20i 0.189743 0.725423i
\(147\) 1.11039e20 1.21667e20i 0.285734 0.313082i
\(148\) −5.98207e20 3.35918e20i −1.44333 0.810490i
\(149\) 1.03942e20i 0.235246i 0.993058 + 0.117623i \(0.0375274\pi\)
−0.993058 + 0.117623i \(0.962473\pi\)
\(150\) −3.73764e20 5.76496e20i −0.793836 1.22442i
\(151\) 3.36278e20i 0.670528i 0.942124 + 0.335264i \(0.108826\pi\)
−0.942124 + 0.335264i \(0.891174\pi\)
\(152\) 5.49194e20 + 5.29870e20i 1.02852 + 0.992328i
\(153\) 7.28829e20 6.67104e19i 1.28250 0.117388i
\(154\) −5.82564e20 1.52377e20i −0.963600 0.252041i
\(155\) −1.19990e21 −1.86636
\(156\) 1.55017e20 5.12636e19i 0.226828 0.0750111i
\(157\) −7.95433e20 −1.09536 −0.547680 0.836688i \(-0.684489\pi\)
−0.547680 + 0.836688i \(0.684489\pi\)
\(158\) −2.86892e20 7.50401e19i −0.371943 0.0972862i
\(159\) −6.30822e20 5.75719e20i −0.770254 0.702972i
\(160\) 3.91938e20 + 1.30558e21i 0.450897 + 1.50198i
\(161\) 2.32337e20i 0.251926i
\(162\) 7.16102e19 9.75496e20i 0.0732120 0.997316i
\(163\) 4.72147e20i 0.455298i −0.973743 0.227649i \(-0.926896\pi\)
0.973743 0.227649i \(-0.0731038\pi\)
\(164\) 1.28473e20 2.28786e20i 0.116895 0.208168i
\(165\) 1.76983e21 + 1.61523e21i 1.51996 + 1.38719i
\(166\) 3.13355e20 1.19801e21i 0.254103 0.971483i
\(167\) −5.99897e20 −0.459484 −0.229742 0.973252i \(-0.573788\pi\)
−0.229742 + 0.973252i \(0.573788\pi\)
\(168\) −1.04670e21 + 6.66014e19i −0.757502 + 0.0481998i
\(169\) −1.37848e21 −0.942922
\(170\) −7.90203e20 + 3.02109e21i −0.511063 + 1.95389i
\(171\) 2.32669e21 2.12964e20i 1.42323 0.130270i
\(172\) −5.88475e20 + 1.04796e21i −0.340571 + 0.606492i
\(173\) 2.00004e21i 1.09547i −0.836651 0.547736i \(-0.815490\pi\)
0.836651 0.547736i \(-0.184510\pi\)
\(174\) 1.71281e20 1.11048e20i 0.0888160 0.0575828i
\(175\) 2.25553e21i 1.10761i
\(176\) −1.46833e21 2.40854e21i −0.683050 1.12043i
\(177\) −1.47152e21 + 1.61236e21i −0.648663 + 0.710747i
\(178\) 4.88746e20 + 1.27837e20i 0.204218 + 0.0534156i
\(179\) 3.67008e21 1.45402 0.727012 0.686625i \(-0.240908\pi\)
0.727012 + 0.686625i \(0.240908\pi\)
\(180\) 3.81002e21 + 1.70321e21i 1.43166 + 0.639999i
\(181\) −6.28843e20 −0.224179 −0.112090 0.993698i \(-0.535754\pi\)
−0.112090 + 0.993698i \(0.535754\pi\)
\(182\) −5.18564e20 1.35637e20i −0.175438 0.0458880i
\(183\) 9.61014e20 1.05299e21i 0.308635 0.338174i
\(184\) 7.55699e20 7.83259e20i 0.230452 0.238856i
\(185\) 8.96219e21i 2.59587i
\(186\) 3.62887e21 2.35273e21i 0.998615 0.647440i
\(187\) 6.46204e21i 1.68995i
\(188\) 3.67459e21 + 2.06344e21i 0.913501 + 0.512969i
\(189\) −1.93941e21 + 2.55922e21i −0.458440 + 0.604951i
\(190\) −2.52262e21 + 9.64444e21i −0.567143 + 2.16829i
\(191\) 1.15829e21 0.247742 0.123871 0.992298i \(-0.460469\pi\)
0.123871 + 0.992298i \(0.460469\pi\)
\(192\) −3.74527e21 3.17996e21i −0.762293 0.647232i
\(193\) 5.41105e21 1.04830 0.524152 0.851625i \(-0.324382\pi\)
0.524152 + 0.851625i \(0.324382\pi\)
\(194\) −1.59621e21 + 6.10261e21i −0.294425 + 1.12564i
\(195\) 1.57539e21 + 1.43778e21i 0.276733 + 0.252560i
\(196\) −2.20875e21 1.24030e21i −0.369584 0.207537i
\(197\) 1.01071e22i 1.61138i 0.592339 + 0.805689i \(0.298205\pi\)
−0.592339 + 0.805689i \(0.701795\pi\)
\(198\) −8.51958e21 1.41472e21i −1.29449 0.214957i
\(199\) 1.56297e21i 0.226384i 0.993573 + 0.113192i \(0.0361075\pi\)
−0.993573 + 0.113192i \(0.963892\pi\)
\(200\) −7.33633e21 + 7.60387e21i −1.01320 + 1.05015i
\(201\) 2.15948e21 + 1.97085e21i 0.284437 + 0.259592i
\(202\) 1.37742e21 + 3.60281e20i 0.173073 + 0.0452692i
\(203\) −6.70133e20 −0.0803432
\(204\) −3.53385e21 1.06861e22i −0.404354 1.22274i
\(205\) 3.42762e21 0.374396
\(206\) 1.74536e22 + 4.56520e21i 1.82031 + 0.476125i
\(207\) −3.03729e20 3.31832e21i −0.0302530 0.330522i
\(208\) −1.30702e21 2.14394e21i −0.124360 0.203991i
\(209\) 2.06292e22i 1.87540i
\(210\) −7.45332e21 1.14960e22i −0.647539 0.998769i
\(211\) 2.74487e21i 0.227949i −0.993484 0.113975i \(-0.963642\pi\)
0.993484 0.113975i \(-0.0363583\pi\)
\(212\) −6.43076e21 + 1.14520e22i −0.510590 + 0.909263i
\(213\) −1.19673e22 + 1.31127e22i −0.908636 + 0.995602i
\(214\) 4.02337e21 1.53821e22i 0.292186 1.11708i
\(215\) −1.57003e22 −1.09079
\(216\) −1.48623e22 + 2.31955e21i −0.988039 + 0.154203i
\(217\) −1.41979e22 −0.903350
\(218\) 4.56620e21 1.74574e22i 0.278111 1.06327i
\(219\) −8.66785e21 + 9.49747e21i −0.505467 + 0.553845i
\(220\) 1.80421e22 3.21295e22i 1.00756 1.79427i
\(221\) 5.75213e21i 0.307682i
\(222\) 1.75728e22 + 2.71044e22i 0.900507 + 1.38895i
\(223\) 4.85448e21i 0.238367i −0.992872 0.119184i \(-0.961972\pi\)
0.992872 0.119184i \(-0.0380277\pi\)
\(224\) 4.63761e21 + 1.54483e22i 0.218242 + 0.726982i
\(225\) 2.94860e21 + 3.22143e22i 0.133009 + 1.45316i
\(226\) 2.43044e22 + 6.35712e21i 1.05113 + 0.274935i
\(227\) −2.64894e22 −1.09857 −0.549284 0.835636i \(-0.685099\pi\)
−0.549284 + 0.835636i \(0.685099\pi\)
\(228\) −1.12814e22 3.41140e22i −0.448725 1.35691i
\(229\) 1.25236e22 0.477852 0.238926 0.971038i \(-0.423205\pi\)
0.238926 + 0.971038i \(0.423205\pi\)
\(230\) 1.37549e22 + 3.59776e21i 0.503550 + 0.131710i
\(231\) 2.09415e22 + 1.91122e22i 0.735688 + 0.671425i
\(232\) −2.25916e21 2.17967e21i −0.0761749 0.0734946i
\(233\) 3.04822e22i 0.986653i −0.869844 0.493326i \(-0.835781\pi\)
0.869844 0.493326i \(-0.164219\pi\)
\(234\) −7.58363e21 1.25930e21i −0.235682 0.0391363i
\(235\) 5.50518e22i 1.64296i
\(236\) 2.92708e22 + 1.64368e22i 0.839017 + 0.471143i
\(237\) 1.03129e22 + 9.41210e21i 0.283971 + 0.259166i
\(238\) −9.35010e21 + 3.57471e22i −0.247363 + 0.945715i
\(239\) 2.00343e22 0.509324 0.254662 0.967030i \(-0.418036\pi\)
0.254662 + 0.967030i \(0.418036\pi\)
\(240\) 1.22652e22 6.29982e22i 0.299688 1.53929i
\(241\) 8.06864e22 1.89513 0.947564 0.319566i \(-0.103537\pi\)
0.947564 + 0.319566i \(0.103537\pi\)
\(242\) −8.08975e21 + 3.09286e22i −0.182679 + 0.698416i
\(243\) −2.43537e22 + 3.90870e22i −0.528817 + 0.848736i
\(244\) −1.91161e22 1.07345e22i −0.399205 0.224170i
\(245\) 3.30909e22i 0.664707i
\(246\) −1.03662e22 + 6.72077e21i −0.200325 + 0.129878i
\(247\) 1.83629e22i 0.341445i
\(248\) −4.78641e22 4.61799e22i −0.856483 0.826347i
\(249\) −3.93034e22 + 4.30652e22i −0.676918 + 0.741707i
\(250\) −4.20240e22 1.09919e22i −0.696735 0.182240i
\(251\) −3.64765e22 −0.582254 −0.291127 0.956684i \(-0.594030\pi\)
−0.291127 + 0.956684i \(0.594030\pi\)
\(252\) 4.50822e22 + 2.01533e22i 0.692946 + 0.309771i
\(253\) −2.94213e22 −0.435529
\(254\) 5.30737e22 + 1.38821e22i 0.756761 + 0.197940i
\(255\) 9.91133e22 1.08600e23i 1.36145 1.49175i
\(256\) −3.46126e22 + 6.71637e22i −0.458094 + 0.888904i
\(257\) 2.14865e22i 0.274032i −0.990569 0.137016i \(-0.956249\pi\)
0.990569 0.137016i \(-0.0437512\pi\)
\(258\) 4.74825e22 3.07847e22i 0.583641 0.378397i
\(259\) 1.06045e23i 1.25645i
\(260\) 1.60600e22 2.85998e22i 0.183442 0.326675i
\(261\) −9.57108e21 + 8.76050e20i −0.105409 + 0.00964815i
\(262\) 7.83456e21 2.99529e22i 0.0832055 0.318110i
\(263\) −2.76841e22 −0.283564 −0.141782 0.989898i \(-0.545283\pi\)
−0.141782 + 0.989898i \(0.545283\pi\)
\(264\) 8.43387e21 + 1.32546e23i 0.0833277 + 1.30957i
\(265\) −1.71571e23 −1.63534
\(266\) −2.98490e22 + 1.14118e23i −0.274507 + 1.04949i
\(267\) −1.75690e22 1.60343e22i −0.155916 0.142297i
\(268\) 2.20143e22 3.92033e22i 0.188549 0.335770i
\(269\) 1.97943e22i 0.163642i −0.996647 0.0818209i \(-0.973926\pi\)
0.996647 0.0818209i \(-0.0260736\pi\)
\(270\) −1.21479e23 1.54447e23i −0.969498 1.23260i
\(271\) 6.06849e22i 0.467597i 0.972285 + 0.233799i \(0.0751157\pi\)
−0.972285 + 0.233799i \(0.924884\pi\)
\(272\) −1.47792e23 + 9.00991e22i −1.09963 + 0.670372i
\(273\) 1.86409e22 + 1.70126e22i 0.133943 + 0.122243i
\(274\) 1.05001e23 + 2.74643e22i 0.728723 + 0.190606i
\(275\) 2.85622e23 1.91484
\(276\) −4.86533e22 + 1.60894e22i −0.315120 + 0.104209i
\(277\) 8.84821e19 0.000553729 0.000276865 1.00000i \(-0.499912\pi\)
0.000276865 1.00000i \(0.499912\pi\)
\(278\) −2.44344e23 6.39112e22i −1.47767 0.386501i
\(279\) −2.02779e23 + 1.85606e22i −1.18518 + 0.108480i
\(280\) −1.46295e23 + 1.51630e23i −0.826474 + 0.856614i
\(281\) 1.80328e23i 0.984812i 0.870366 + 0.492406i \(0.163882\pi\)
−0.870366 + 0.492406i \(0.836118\pi\)
\(282\) −1.07944e23 1.66493e23i −0.569943 0.879083i
\(283\) 2.20155e23i 1.12398i −0.827145 0.561988i \(-0.810037\pi\)
0.827145 0.561988i \(-0.189963\pi\)
\(284\) 2.38049e23 + 1.33674e23i 1.17528 + 0.659969i
\(285\) 3.16406e23 3.46690e23i 1.51084 1.65545i
\(286\) −1.71759e22 + 6.56668e22i −0.0793311 + 0.303297i
\(287\) 4.05574e22 0.181214
\(288\) 8.64311e22 + 2.14575e23i 0.373630 + 0.927578i
\(289\) −1.57450e23 −0.658586
\(290\) 1.03771e22 3.96734e22i 0.0420042 0.160590i
\(291\) 2.00209e23 2.19371e23i 0.784333 0.859402i
\(292\) 1.72417e23 + 9.68197e22i 0.653799 + 0.367136i
\(293\) 9.77957e22i 0.358986i 0.983759 + 0.179493i \(0.0574457\pi\)
−0.983759 + 0.179493i \(0.942554\pi\)
\(294\) 6.48836e22 + 1.00077e23i 0.230587 + 0.355659i
\(295\) 4.38528e23i 1.50900i
\(296\) 3.44922e23 3.57501e23i 1.14934 1.19126i
\(297\) 3.24079e23 + 2.45591e23i 1.04584 + 0.792550i
\(298\) −7.28125e22 1.90450e22i −0.227589 0.0595287i
\(299\) −2.61891e22 −0.0792948
\(300\) 4.72326e23 1.56196e23i 1.38545 0.458162i
\(301\) −1.85774e23 −0.527963
\(302\) −2.35566e23 6.16152e22i −0.648705 0.169677i
\(303\) −4.95143e22 4.51892e22i −0.132137 0.120595i
\(304\) −4.71807e23 + 2.87630e23i −1.22030 + 0.743935i
\(305\) 2.86393e23i 0.717982i
\(306\) −8.68100e22 + 5.22776e23i −0.210968 + 1.27046i
\(307\) 3.33732e23i 0.786291i 0.919476 + 0.393145i \(0.128613\pi\)
−0.919476 + 0.393145i \(0.871387\pi\)
\(308\) 2.13483e23 3.80173e23i 0.487676 0.868459i
\(309\) −6.27406e23 5.72602e23i −1.38977 1.26837i
\(310\) 2.19855e23 8.40545e23i 0.472280 1.80561i
\(311\) −2.25691e23 −0.470208 −0.235104 0.971970i \(-0.575543\pi\)
−0.235104 + 0.971970i \(0.575543\pi\)
\(312\) 7.50733e21 + 1.17984e23i 0.0151711 + 0.238427i
\(313\) 7.76177e23 1.52156 0.760781 0.649009i \(-0.224816\pi\)
0.760781 + 0.649009i \(0.224816\pi\)
\(314\) 1.45745e23 5.57210e23i 0.277180 1.05971i
\(315\) 5.87987e22 + 6.42392e23i 0.108497 + 1.18536i
\(316\) 1.05133e23 1.87222e23i 0.188240 0.335219i
\(317\) 7.82976e23i 1.36046i 0.733000 + 0.680229i \(0.238120\pi\)
−0.733000 + 0.680229i \(0.761880\pi\)
\(318\) 5.18881e23 3.36410e23i 0.875005 0.567299i
\(319\) 8.48603e22i 0.138897i
\(320\) −9.86385e23 + 3.53394e22i −1.56719 + 0.0561481i
\(321\) −5.04642e23 + 5.52942e23i −0.778369 + 0.852868i
\(322\) 1.62755e23 + 4.25705e22i 0.243727 + 0.0637497i
\(323\) −1.26585e24 −1.84059
\(324\) 6.70225e23 + 2.28901e23i 0.946331 + 0.323199i
\(325\) 2.54244e23 0.348625
\(326\) 3.30745e23 + 8.65102e22i 0.440479 + 0.115213i
\(327\) −5.72727e23 + 6.27544e23i −0.740874 + 0.811783i
\(328\) 1.36728e23 + 1.31917e23i 0.171813 + 0.165767i
\(329\) 6.51401e23i 0.795221i
\(330\) −1.45577e24 + 9.43828e23i −1.72667 + 1.11946i
\(331\) 1.04369e24i 1.20283i −0.798935 0.601417i \(-0.794603\pi\)
0.798935 0.601417i \(-0.205397\pi\)
\(332\) 7.81807e23 + 4.39018e23i 0.875564 + 0.491666i
\(333\) −1.38631e23 1.51458e24i −0.150882 1.64843i
\(334\) 1.09918e23 4.20235e23i 0.116272 0.444530i
\(335\) 5.87334e23 0.603893
\(336\) 1.45129e23 7.45428e23i 0.145054 0.745045i
\(337\) −2.33357e23 −0.226745 −0.113372 0.993553i \(-0.536165\pi\)
−0.113372 + 0.993553i \(0.536165\pi\)
\(338\) 2.52575e23 9.65639e23i 0.238606 0.912233i
\(339\) −8.73675e23 7.97359e23i −0.802514 0.732414i
\(340\) −1.97152e24 1.10709e24i −1.76097 0.988859i
\(341\) 1.79790e24i 1.56171i
\(342\) −2.77129e23 + 1.66889e24i −0.234118 + 1.40988i
\(343\) 1.31530e24i 1.08076i
\(344\) −6.26284e23 6.04248e23i −0.500572 0.482959i
\(345\) −4.94448e23 4.51258e23i −0.384450 0.350868i
\(346\) 1.40105e24 + 3.66462e23i 1.05982 + 0.277209i
\(347\) 1.28967e24 0.949177 0.474589 0.880208i \(-0.342597\pi\)
0.474589 + 0.880208i \(0.342597\pi\)
\(348\) 4.64070e22 + 1.40331e23i 0.0332338 + 0.100497i
\(349\) 1.94097e24 1.35262 0.676311 0.736616i \(-0.263577\pi\)
0.676311 + 0.736616i \(0.263577\pi\)
\(350\) −1.58002e24 4.13274e23i −1.07156 0.280280i
\(351\) 2.88476e23 + 2.18611e23i 0.190411 + 0.144296i
\(352\) 1.95624e24 5.87270e23i 1.25681 0.377296i
\(353\) 2.19130e24i 1.37038i −0.728364 0.685191i \(-0.759719\pi\)
0.728364 0.685191i \(-0.240281\pi\)
\(354\) −8.59852e23 1.32624e24i −0.523471 0.807405i
\(355\) 3.56638e24i 2.11378i
\(356\) −1.79103e23 + 3.18949e23i −0.103354 + 0.184054i
\(357\) 1.17276e24 1.28501e24i 0.658963 0.722033i
\(358\) −6.72458e23 + 2.57093e24i −0.367940 + 1.40670i
\(359\) 3.32858e24 1.77362 0.886812 0.462131i \(-0.152915\pi\)
0.886812 + 0.462131i \(0.152915\pi\)
\(360\) −1.89122e24 + 2.35689e24i −0.981449 + 1.22311i
\(361\) −2.06263e24 −1.04256
\(362\) 1.15221e23 4.40511e23i 0.0567284 0.216883i
\(363\) 1.01468e24 1.11179e24i 0.486648 0.533226i
\(364\) 1.90030e23 3.38407e23i 0.0887890 0.158116i
\(365\) 2.58312e24i 1.17588i
\(366\) 5.61550e23 + 8.66138e23i 0.249068 + 0.384164i
\(367\) 2.09535e24i 0.905584i −0.891616 0.452792i \(-0.850428\pi\)
0.891616 0.452792i \(-0.149572\pi\)
\(368\) 4.10217e23 + 6.72890e23i 0.172766 + 0.283393i
\(369\) 5.79255e23 5.30197e22i 0.237749 0.0217614i
\(370\) 6.27811e24 + 1.64212e24i 2.51138 + 0.656882i
\(371\) −2.03011e24 −0.791531
\(372\) 9.83208e23 + 2.97315e24i 0.373669 + 1.12995i
\(373\) −3.93847e24 −1.45913 −0.729564 0.683913i \(-0.760277\pi\)
−0.729564 + 0.683913i \(0.760277\pi\)
\(374\) 4.52673e24 + 1.18402e24i 1.63495 + 0.427641i
\(375\) 1.51064e24 + 1.37869e24i 0.531943 + 0.485477i
\(376\) −2.11874e24 + 2.19601e24i −0.727435 + 0.753964i
\(377\) 7.55377e22i 0.0252884i
\(378\) −1.43741e24 1.82750e24i −0.469254 0.596602i
\(379\) 4.68882e24i 1.49276i −0.665519 0.746381i \(-0.731790\pi\)
0.665519 0.746381i \(-0.268210\pi\)
\(380\) −6.29383e24 3.53425e24i −1.95421 1.09737i
\(381\) −1.90784e24 1.74119e24i −0.577771 0.527302i
\(382\) −2.12230e23 + 8.11394e23i −0.0626909 + 0.239679i
\(383\) 1.29389e24 0.372827 0.186414 0.982471i \(-0.440314\pi\)
0.186414 + 0.982471i \(0.440314\pi\)
\(384\) 2.91383e24 2.04095e24i 0.819065 0.573701i
\(385\) 5.69566e24 1.56195
\(386\) −9.91452e23 + 3.79050e24i −0.265273 + 1.01419i
\(387\) −2.65329e24 + 2.42858e23i −0.692677 + 0.0634014i
\(388\) −3.98248e24 2.23633e24i −1.01450 0.569684i
\(389\) 1.33641e24i 0.332215i −0.986108 0.166108i \(-0.946880\pi\)
0.986108 0.166108i \(-0.0531199\pi\)
\(390\) −1.29584e24 + 8.40140e23i −0.314367 + 0.203816i
\(391\) 1.80534e24i 0.427446i
\(392\) 1.27355e24 1.31999e24i 0.294305 0.305038i
\(393\) −9.82670e23 + 1.07672e24i −0.221655 + 0.242870i
\(394\) −7.08013e24 1.85189e24i −1.55893 0.407758i
\(395\) 2.80491e24 0.602901
\(396\) 2.55205e24 5.70884e24i 0.535531 1.19796i
\(397\) 1.02507e24 0.210012 0.105006 0.994472i \(-0.466514\pi\)
0.105006 + 0.994472i \(0.466514\pi\)
\(398\) −1.09488e24 2.86378e23i −0.219016 0.0572863i
\(399\) 3.74388e24 4.10222e24i 0.731274 0.801265i
\(400\) −3.98238e24 6.53241e24i −0.759579 1.24596i
\(401\) 5.46881e24i 1.01864i −0.860577 0.509320i \(-0.829897\pi\)
0.860577 0.509320i \(-0.170103\pi\)
\(402\) −1.77628e24 + 1.15163e24i −0.323119 + 0.209490i
\(403\) 1.60039e24i 0.284333i
\(404\) −5.04761e23 + 8.98884e23i −0.0875917 + 0.155984i
\(405\) 1.67957e24 + 9.09800e24i 0.284692 + 1.54214i
\(406\) 1.22787e23 4.69436e23i 0.0203308 0.0777283i
\(407\) −1.34287e25 −2.17214
\(408\) 8.13323e24 5.17517e23i 1.28526 0.0817811i
\(409\) −6.57238e24 −1.01473 −0.507366 0.861731i \(-0.669381\pi\)
−0.507366 + 0.861731i \(0.669381\pi\)
\(410\) −6.28033e23 + 2.40109e24i −0.0947406 + 0.362211i
\(411\) −3.77448e24 3.44478e24i −0.556365 0.507766i
\(412\) −6.39594e24 + 1.13900e25i −0.921257 + 1.64059i
\(413\) 5.18889e24i 0.730380i
\(414\) 2.38017e24 + 3.95241e23i 0.327420 + 0.0543700i
\(415\) 1.17128e25i 1.57473i
\(416\) 1.74133e24 5.22753e23i 0.228821 0.0686926i
\(417\) 8.78347e24 + 8.01622e24i 1.12817 + 1.02962i
\(418\) 1.44510e25 + 3.77983e24i 1.81436 + 0.474568i
\(419\) −9.29141e24 −1.14038 −0.570189 0.821514i \(-0.693130\pi\)
−0.570189 + 0.821514i \(0.693130\pi\)
\(420\) 9.41875e24 3.11474e24i 1.13012 0.373727i
\(421\) −1.67922e23 −0.0196983 −0.00984915 0.999951i \(-0.503135\pi\)
−0.00984915 + 0.999951i \(0.503135\pi\)
\(422\) 1.92281e24 + 5.02935e23i 0.220530 + 0.0576824i
\(423\) 8.51562e23 + 9.30354e24i 0.0954955 + 1.04331i
\(424\) −6.84394e24 6.60313e24i −0.750466 0.724060i
\(425\) 1.75263e25i 1.87930i
\(426\) −6.99286e24 1.07858e25i −0.733269 1.13100i
\(427\) 3.38875e24i 0.347516i
\(428\) 1.00381e25 + 5.63684e24i 1.00679 + 0.565353i
\(429\) 2.15434e24 2.36053e24i 0.211334 0.231561i
\(430\) 2.87672e24 1.09982e25i 0.276025 1.05529i
\(431\) 9.09431e24 0.853563 0.426782 0.904355i \(-0.359647\pi\)
0.426782 + 0.904355i \(0.359647\pi\)
\(432\) 1.09830e24 1.08362e25i 0.100838 0.994903i
\(433\) −9.14015e24 −0.820953 −0.410476 0.911871i \(-0.634638\pi\)
−0.410476 + 0.911871i \(0.634638\pi\)
\(434\) 2.60144e24 9.94577e24i 0.228592 0.873949i
\(435\) −1.30157e24 + 1.42614e24i −0.111897 + 0.122607i
\(436\) 1.13925e25 + 6.39734e24i 0.958287 + 0.538119i
\(437\) 5.76333e24i 0.474351i
\(438\) −5.06489e24 7.81212e24i −0.407912 0.629166i
\(439\) 1.65367e25i 1.30327i 0.758532 + 0.651636i \(0.225917\pi\)
−0.758532 + 0.651636i \(0.774083\pi\)
\(440\) 1.92013e25 + 1.85257e25i 1.48091 + 1.42881i
\(441\) −5.11862e23 5.59223e24i −0.0386355 0.422103i
\(442\) 4.02943e24 + 1.05395e24i 0.297668 + 0.0778586i
\(443\) 7.33835e24 0.530595 0.265297 0.964167i \(-0.414530\pi\)
0.265297 + 0.964167i \(0.414530\pi\)
\(444\) −2.22067e25 + 7.34367e24i −1.57162 + 0.519727i
\(445\) −4.77841e24 −0.331027
\(446\) 3.40062e24 + 8.89473e23i 0.230609 + 0.0603186i
\(447\) 2.61740e24 + 2.38877e24i 0.173760 + 0.158582i
\(448\) −1.16714e25 + 4.18155e23i −0.758547 + 0.0271766i
\(449\) 1.50710e24i 0.0958962i 0.998850 + 0.0479481i \(0.0152682\pi\)
−0.998850 + 0.0479481i \(0.984732\pi\)
\(450\) −2.31067e25 3.83700e24i −1.43953 0.239041i
\(451\) 5.13586e24i 0.313283i
\(452\) −8.90647e24 + 1.58607e25i −0.531974 + 0.947345i
\(453\) 8.46793e24 + 7.72825e24i 0.495273 + 0.452010i
\(454\) 4.85358e24 1.85561e25i 0.277992 1.06281i
\(455\) 5.06994e24 0.284377
\(456\) 2.59643e25 1.65210e24i 1.42630 0.0907552i
\(457\) 3.33751e25 1.79564 0.897818 0.440366i \(-0.145151\pi\)
0.897818 + 0.440366i \(0.145151\pi\)
\(458\) −2.29467e24 + 8.77295e24i −0.120920 + 0.462300i
\(459\) 1.50699e25 1.98860e25i 0.777840 1.02643i
\(460\) −5.04054e24 + 8.97624e24i −0.254846 + 0.453832i
\(461\) 3.16764e25i 1.56883i −0.620233 0.784417i \(-0.712962\pi\)
0.620233 0.784417i \(-0.287038\pi\)
\(462\) −1.72254e25 + 1.11679e25i −0.835738 + 0.541840i
\(463\) 2.79699e25i 1.32945i −0.747088 0.664725i \(-0.768549\pi\)
0.747088 0.664725i \(-0.231451\pi\)
\(464\) 1.94082e24 1.18319e24i 0.0903786 0.0550979i
\(465\) −2.75759e25 + 3.02152e25i −1.25813 + 1.37855i
\(466\) 2.13531e25 + 5.58516e24i 0.954541 + 0.249672i
\(467\) −2.42851e25 −1.06373 −0.531863 0.846830i \(-0.678508\pi\)
−0.531863 + 0.846830i \(0.678508\pi\)
\(468\) 2.27168e24 5.08167e24i 0.0975017 0.218108i
\(469\) 6.94964e24 0.292294
\(470\) −3.85644e25 1.00870e25i −1.58949 0.415749i
\(471\) −1.82804e25 + 2.00301e25i −0.738394 + 0.809067i
\(472\) −1.68774e25 + 1.74929e25i −0.668122 + 0.692487i
\(473\) 2.35250e25i 0.912742i
\(474\) −8.48289e24 + 5.49978e24i −0.322589 + 0.209147i
\(475\) 5.59504e25i 2.08552i
\(476\) −2.33281e25 1.30997e25i −0.852340 0.478625i
\(477\) −2.89948e25 + 2.65392e24i −1.03847 + 0.0950524i
\(478\) −3.67083e24 + 1.40342e25i −0.128884 + 0.492747i
\(479\) 2.41544e25 0.831399 0.415699 0.909502i \(-0.363537\pi\)
0.415699 + 0.909502i \(0.363537\pi\)
\(480\) 4.18836e25 + 2.01349e25i 1.41336 + 0.679451i
\(481\) −1.19535e25 −0.395472
\(482\) −1.47839e25 + 5.65217e25i −0.479561 + 1.83345i
\(483\) −5.85057e24 5.33952e24i −0.186080 0.169826i
\(484\) −2.01836e25 1.13339e25i −0.629458 0.353467i
\(485\) 5.96645e25i 1.82461i
\(486\) −2.29186e25 2.42218e25i −0.687295 0.726378i
\(487\) 3.28871e25i 0.967166i 0.875299 + 0.483583i \(0.160665\pi\)
−0.875299 + 0.483583i \(0.839335\pi\)
\(488\) 1.10222e25 1.14242e25i 0.317893 0.329486i
\(489\) −1.18893e25 1.08508e25i −0.336297 0.306921i
\(490\) 2.31805e25 + 6.06315e24i 0.643073 + 0.168204i
\(491\) 1.13908e25 0.309942 0.154971 0.987919i \(-0.450472\pi\)
0.154971 + 0.987919i \(0.450472\pi\)
\(492\) −2.80861e24 8.49304e24i −0.0749590 0.226670i
\(493\) 5.20718e24 0.136319
\(494\) 1.28634e25 + 3.36458e24i 0.330332 + 0.0864023i
\(495\) 8.13473e25 7.44580e24i 2.04925 0.187569i
\(496\) 4.11195e25 2.50679e25i 1.01618 0.619501i
\(497\) 4.21993e25i 1.02310i
\(498\) −2.29662e25 3.54232e25i −0.546273 0.842575i
\(499\) 1.13358e25i 0.264543i −0.991214 0.132271i \(-0.957773\pi\)
0.991214 0.132271i \(-0.0422270\pi\)
\(500\) 1.53999e25 2.74243e25i 0.352617 0.627943i
\(501\) −1.37867e25 + 1.51062e25i −0.309743 + 0.339389i
\(502\) 6.68348e24 2.55522e25i 0.147339 0.563303i
\(503\) 5.32374e25 1.15165 0.575825 0.817573i \(-0.304681\pi\)
0.575825 + 0.817573i \(0.304681\pi\)
\(504\) −2.23779e25 + 2.78879e25i −0.475038 + 0.592006i
\(505\) −1.34669e25 −0.280542
\(506\) 5.39079e24 2.06100e25i 0.110210 0.421354i
\(507\) −3.16798e25 + 3.47119e25i −0.635634 + 0.696471i
\(508\) −1.94491e25 + 3.46351e25i −0.382995 + 0.682042i
\(509\) 2.55740e25i 0.494287i −0.968979 0.247143i \(-0.920508\pi\)
0.968979 0.247143i \(-0.0794919\pi\)
\(510\) 5.79150e25 + 8.93284e25i 1.09869 + 1.69462i
\(511\) 3.05648e25i 0.569145i
\(512\) −4.07069e25 3.65527e25i −0.744053 0.668121i
\(513\) 4.81087e25 6.34836e25i 0.863195 1.13906i
\(514\) 1.50515e25 + 3.93691e24i 0.265113 + 0.0693436i
\(515\) −1.70642e26 −2.95064
\(516\) 1.28649e25 + 3.89026e25i 0.218391 + 0.660399i
\(517\) 8.24882e25 1.37478
\(518\) 7.42859e25 + 1.94304e25i 1.21555 + 0.317942i
\(519\) −5.03638e25 4.59645e25i −0.809150 0.738470i
\(520\) 1.70918e25 + 1.64904e25i 0.269623 + 0.260136i
\(521\) 6.33423e25i 0.981150i 0.871399 + 0.490575i \(0.163213\pi\)
−0.871399 + 0.490575i \(0.836787\pi\)
\(522\) 1.14000e24 6.86516e24i 0.0173394 0.104419i
\(523\) 1.28882e25i 0.192498i 0.995357 + 0.0962491i \(0.0306845\pi\)
−0.995357 + 0.0962491i \(0.969315\pi\)
\(524\) 1.95469e25 + 1.09764e25i 0.286701 + 0.160995i
\(525\) 5.67973e25 + 5.18360e25i 0.818115 + 0.746652i
\(526\) 5.07248e24 1.93930e25i 0.0717556 0.274335i
\(527\) 1.10323e26 1.53272
\(528\) −9.43950e25 1.83779e25i −1.28803 0.250769i
\(529\) −6.63958e25 −0.889840
\(530\) 3.14364e25 1.20187e26i 0.413821 1.58211i
\(531\) 6.78332e24 + 7.41095e25i 0.0877090 + 0.958244i
\(532\) −7.44718e25 4.18191e25i −0.945870 0.531146i
\(533\) 4.57164e24i 0.0570379i
\(534\) 1.44514e25 9.36936e24i 0.177120 0.114833i
\(535\) 1.50389e26i 1.81074i
\(536\) 2.34287e25 + 2.26044e25i 0.277130 + 0.267379i
\(537\) 8.43448e25 9.24176e25i 0.980173 1.07399i
\(538\) 1.38662e25 + 3.62686e24i 0.158316 + 0.0414094i
\(539\) −4.95826e25 −0.556206
\(540\) 1.30450e26 5.67988e25i 1.43782 0.626034i
\(541\) −1.10046e26 −1.19179 −0.595896 0.803062i \(-0.703203\pi\)
−0.595896 + 0.803062i \(0.703203\pi\)
\(542\) −4.25104e25 1.11191e25i −0.452379 0.118325i
\(543\) −1.44519e25 + 1.58351e25i −0.151122 + 0.165586i
\(544\) −3.60359e25 1.20039e26i −0.370293 1.23348i
\(545\) 1.70679e26i 1.72351i
\(546\) −1.53330e25 + 9.94097e24i −0.152159 + 0.0986504i
\(547\) 5.77446e25i 0.563160i −0.959538 0.281580i \(-0.909141\pi\)
0.959538 0.281580i \(-0.0908585\pi\)
\(548\) −3.84780e25 + 6.85221e25i −0.368806 + 0.656773i
\(549\) −4.43003e24 4.83993e25i −0.0417320 0.455934i
\(550\) −5.23338e25 + 2.00082e26i −0.484548 + 1.85251i
\(551\) 1.66232e25 0.151278
\(552\) −2.35623e24 3.70302e25i −0.0210764 0.331234i
\(553\) 3.31891e25 0.291815
\(554\) −1.62123e22 + 6.19827e22i −0.000140121 + 0.000535707i
\(555\) −2.25680e26 2.05967e26i −1.91739 1.74990i
\(556\) 8.95410e25 1.59455e26i 0.747844 1.33177i
\(557\) 9.71955e25i 0.798035i 0.916943 + 0.399017i \(0.130649\pi\)
−0.916943 + 0.399017i \(0.869351\pi\)
\(558\) 2.41528e25 1.45450e26i 0.194958 1.17405i
\(559\) 2.09405e25i 0.166179i
\(560\) −7.94136e25 1.30264e26i −0.619596 1.01634i
\(561\) −1.62723e26 1.48509e26i −1.24825 1.13921i
\(562\) −1.26322e26 3.30410e25i −0.952760 0.249206i
\(563\) 5.47152e25 0.405769 0.202884 0.979203i \(-0.434968\pi\)
0.202884 + 0.979203i \(0.434968\pi\)
\(564\) 1.36409e26 4.51098e25i 0.994696 0.328942i
\(565\) −2.37622e26 −1.70383
\(566\) 1.54221e26 + 4.03384e25i 1.08740 + 0.284421i
\(567\) 1.98735e25 + 1.07652e26i 0.137796 + 0.746421i
\(568\) −1.37257e26 + 1.42263e26i −0.935893 + 0.970024i
\(569\) 4.65367e25i 0.312053i −0.987753 0.156027i \(-0.950131\pi\)
0.987753 0.156027i \(-0.0498686\pi\)
\(570\) 1.84886e26 + 2.85169e26i 1.21925 + 1.88058i
\(571\) 1.86299e26i 1.20828i −0.796878 0.604141i \(-0.793516\pi\)
0.796878 0.604141i \(-0.206484\pi\)
\(572\) −4.28532e25 2.40639e25i −0.273351 0.153498i
\(573\) 2.66195e25 2.91673e25i 0.167005 0.182990i
\(574\) −7.43122e24 + 2.84109e25i −0.0458561 + 0.175316i
\(575\) −7.97963e25 −0.484326
\(576\) −1.66149e26 + 2.12300e25i −0.991935 + 0.126747i
\(577\) 2.93815e26 1.72545 0.862727 0.505671i \(-0.168755\pi\)
0.862727 + 0.505671i \(0.168755\pi\)
\(578\) 2.88491e25 1.10295e26i 0.166655 0.637151i
\(579\) 1.24355e26 1.36258e26i 0.706673 0.774309i
\(580\) 2.58903e25 + 1.45385e25i 0.144734 + 0.0812743i
\(581\) 1.38592e26i 0.762195i
\(582\) 1.16988e26 + 1.80443e26i 0.632957 + 0.976277i
\(583\) 2.57077e26i 1.36840i
\(584\) −9.94148e25 + 1.03040e26i −0.520630 + 0.539617i
\(585\) 7.24106e25 6.62781e24i 0.373097 0.0341499i
\(586\) −6.85070e25 1.79188e25i −0.347302 0.0908411i
\(587\) 1.71010e26 0.853022 0.426511 0.904482i \(-0.359742\pi\)
0.426511 + 0.904482i \(0.359742\pi\)
\(588\) −8.19933e25 + 2.71149e25i −0.402433 + 0.133083i
\(589\) 3.52190e26 1.70091
\(590\) −3.07194e26 8.03502e25i −1.45988 0.381850i
\(591\) 2.54510e26 + 2.32279e26i 1.19021 + 1.08625i
\(592\) 1.87234e26 + 3.07126e26i 0.861647 + 1.41338i
\(593\) 2.23812e24i 0.0101359i −0.999987 0.00506797i \(-0.998387\pi\)
0.999987 0.00506797i \(-0.00161319\pi\)
\(594\) −2.31419e26 + 1.82022e26i −1.03140 + 0.811245i
\(595\) 3.49495e26i 1.53296i
\(596\) 2.66825e25 4.75164e25i 0.115182 0.205118i
\(597\) 3.93577e25 + 3.59197e25i 0.167214 + 0.152608i
\(598\) 4.79856e24 1.83458e25i 0.0200655 0.0767141i
\(599\) 1.87477e26 0.771601 0.385801 0.922582i \(-0.373925\pi\)
0.385801 + 0.922582i \(0.373925\pi\)
\(600\) 2.28742e25 + 3.59489e26i 0.0926638 + 1.45629i
\(601\) −4.30174e26 −1.71529 −0.857644 0.514244i \(-0.828072\pi\)
−0.857644 + 0.514244i \(0.828072\pi\)
\(602\) 3.40389e25 1.30137e26i 0.133601 0.510780i
\(603\) 9.92572e25 9.08511e24i 0.383484 0.0351007i
\(604\) 8.63243e25 1.53727e26i 0.328308 0.584655i
\(605\) 3.02385e26i 1.13210i
\(606\) 4.07279e25 2.64054e25i 0.150107 0.0973202i
\(607\) 6.47943e25i 0.235096i −0.993067 0.117548i \(-0.962497\pi\)
0.993067 0.117548i \(-0.0375033\pi\)
\(608\) −1.15040e26 3.83208e26i −0.410927 1.36883i
\(609\) −1.54008e25 + 1.68749e25i −0.0541602 + 0.0593439i
\(610\) 2.00621e26 + 5.24749e25i 0.694614 + 0.181685i
\(611\) 7.34262e25 0.250299
\(612\) −3.50305e26 1.56598e26i −1.17573 0.525591i
\(613\) −6.85698e25 −0.226599 −0.113300 0.993561i \(-0.536142\pi\)
−0.113300 + 0.993561i \(0.536142\pi\)
\(614\) −2.33783e26 6.11488e25i −0.760700 0.198970i
\(615\) 7.87727e25 8.63122e25i 0.252384 0.276540i
\(616\) 2.27199e26 + 2.19205e26i 0.716787 + 0.691567i
\(617\) 4.75871e26i 1.47836i −0.673509 0.739179i \(-0.735214\pi\)
0.673509 0.739179i \(-0.264786\pi\)
\(618\) 5.16072e26 3.34589e26i 1.57877 1.02358i
\(619\) 7.07834e25i 0.213241i 0.994300 + 0.106620i \(0.0340030\pi\)
−0.994300 + 0.106620i \(0.965997\pi\)
\(620\) 5.48528e26 + 3.08021e26i 1.62734 + 0.913818i
\(621\) −9.05401e25 6.86125e25i −0.264527 0.200463i
\(622\) 4.13527e25 1.58099e26i 0.118986 0.454904i
\(623\) −5.65407e25 −0.160223
\(624\) −8.40248e25 1.63590e25i −0.234506 0.0456564i
\(625\) −1.20004e26 −0.329863
\(626\) −1.42217e26 + 5.43721e26i −0.385030 + 1.47204i
\(627\) −5.19472e26 4.74095e26i −1.38522 1.26422i
\(628\) 3.63627e26 + 2.04192e26i 0.955080 + 0.536318i
\(629\) 8.24010e26i 2.13182i
\(630\) −4.60776e26 7.65145e25i −1.17423 0.194988i
\(631\) 1.30069e25i 0.0326508i −0.999867 0.0163254i \(-0.994803\pi\)
0.999867 0.0163254i \(-0.00519677\pi\)
\(632\) 1.11888e26 + 1.07951e26i 0.276675 + 0.266940i
\(633\) −6.91196e25 6.30819e25i −0.168370 0.153663i
\(634\) −5.48483e26 1.43462e26i −1.31618 0.344263i
\(635\) −5.18895e26 −1.22667
\(636\) 1.40586e26 + 4.25122e26i 0.327416 + 0.990081i
\(637\) −4.41355e25 −0.101266
\(638\) −5.94456e25 1.55487e25i −0.134376 0.0351478i
\(639\) 5.51662e25 + 6.02705e26i 0.122861 + 1.34229i
\(640\) 1.55977e26 6.97449e26i 0.342256 1.53039i
\(641\) 3.20078e26i 0.691998i 0.938235 + 0.345999i \(0.112460\pi\)
−0.938235 + 0.345999i \(0.887540\pi\)
\(642\) −2.94878e26 4.54822e26i −0.628144 0.968854i
\(643\) 3.32867e25i 0.0698661i −0.999390 0.0349330i \(-0.988878\pi\)
0.999390 0.0349330i \(-0.0111218\pi\)
\(644\) −5.96422e25 + 1.06212e26i −0.123350 + 0.219662i
\(645\) −3.60821e26 + 3.95355e26i −0.735316 + 0.805694i
\(646\) 2.31937e26 8.86739e26i 0.465759 1.78068i
\(647\) 6.57665e26 1.30141 0.650705 0.759331i \(-0.274473\pi\)
0.650705 + 0.759331i \(0.274473\pi\)
\(648\) −2.83151e26 + 4.27559e26i −0.552149 + 0.833746i
\(649\) 6.57079e26 1.26268
\(650\) −4.65844e25 + 1.78101e26i −0.0882193 + 0.337279i
\(651\) −3.26292e26 + 3.57522e26i −0.608957 + 0.667241i
\(652\) −1.21203e26 + 2.15839e26i −0.222926 + 0.396989i
\(653\) 5.01928e26i 0.909842i −0.890532 0.454921i \(-0.849668\pi\)
0.890532 0.454921i \(-0.150332\pi\)
\(654\) −3.34662e26 5.16185e26i −0.597885 0.922182i
\(655\) 2.92846e26i 0.515641i
\(656\) −1.17461e26 + 7.16085e25i −0.203849 + 0.124273i
\(657\) 3.99566e25 + 4.36537e26i 0.0683467 + 0.746706i
\(658\) −4.56314e26 1.19354e26i −0.769339 0.201230i
\(659\) −1.13283e27 −1.88258 −0.941291 0.337597i \(-0.890386\pi\)
−0.941291 + 0.337597i \(0.890386\pi\)
\(660\) −3.94426e26 1.19272e27i −0.646098 1.95375i
\(661\) 8.61177e26 1.39052 0.695262 0.718757i \(-0.255288\pi\)
0.695262 + 0.718757i \(0.255288\pi\)
\(662\) 7.31116e26 + 1.91232e26i 1.16369 + 0.304376i
\(663\) −1.44846e26 1.32194e26i −0.227263 0.207412i
\(664\) −4.50785e26 + 4.67225e26i −0.697225 + 0.722652i
\(665\) 1.11572e27i 1.70118i
\(666\) 1.08638e27 + 1.80399e26i 1.63296 + 0.271162i
\(667\) 2.37080e25i 0.0351317i
\(668\) 2.74239e26 + 1.53997e26i 0.400639 + 0.224976i
\(669\) −1.22242e26 1.11564e26i −0.176065 0.160686i
\(670\) −1.07616e26 + 4.11434e26i −0.152815 + 0.584238i
\(671\) −4.29124e26 −0.600785
\(672\) 4.95589e26 + 2.38247e26i 0.684090 + 0.328866i
\(673\) 3.14093e26 0.427479 0.213740 0.976891i \(-0.431436\pi\)
0.213740 + 0.976891i \(0.431436\pi\)
\(674\) 4.27574e25 1.63469e26i 0.0573775 0.219365i
\(675\) 8.78963e26 + 6.66090e26i 1.16301 + 0.881348i
\(676\) 6.30162e26 + 3.53863e26i 0.822164 + 0.461680i
\(677\) 3.75912e26i 0.483608i 0.970325 + 0.241804i \(0.0777392\pi\)
−0.970325 + 0.241804i \(0.922261\pi\)
\(678\) 7.18639e26 4.65921e26i 0.911652 0.591058i
\(679\) 7.05981e26i 0.883142i
\(680\) 1.13677e27 1.17822e27i 1.40229 1.45343i
\(681\) −6.08773e26 + 6.67040e26i −0.740556 + 0.811436i
\(682\) −1.25945e27 3.29425e26i −1.51088 0.395189i
\(683\) −5.89424e26 −0.697319 −0.348659 0.937249i \(-0.613363\pi\)
−0.348659 + 0.937249i \(0.613363\pi\)
\(684\) −1.11830e27 4.99919e26i −1.30475 0.583266i
\(685\) −1.02658e27 −1.18123
\(686\) 9.21382e26 + 2.40999e26i 1.04559 + 0.273486i
\(687\) 2.87815e26 3.15362e26i 0.322125 0.352956i
\(688\) 5.38035e26 3.28004e26i 0.593910 0.362068i
\(689\) 2.28835e26i 0.249138i
\(690\) 4.06707e26 2.63684e26i 0.436733 0.283150i
\(691\) 8.23647e26i 0.872368i 0.899857 + 0.436184i \(0.143670\pi\)
−0.899857 + 0.436184i \(0.856330\pi\)
\(692\) −5.13422e26 + 9.14307e26i −0.536373 + 0.955178i
\(693\) 9.62544e26 8.81026e25i 0.991870 0.0907868i
\(694\) −2.36302e26 + 9.03425e26i −0.240189 + 0.918285i
\(695\) 2.38892e27 2.39523
\(696\) −1.06807e26 + 6.79610e24i −0.105636 + 0.00672159i
\(697\) −3.15146e26 −0.307468
\(698\) −3.55638e26 + 1.35967e27i −0.342280 + 1.30860i
\(699\) −7.67582e26 7.00533e26i −0.728772 0.665113i
\(700\) 5.79007e26 1.03110e27i 0.542316 0.965761i
\(701\) 1.95748e27i 1.80874i −0.426750 0.904369i \(-0.640342\pi\)
0.426750 0.904369i \(-0.359658\pi\)
\(702\) −2.05996e26 + 1.62025e26i −0.187783 + 0.147700i
\(703\) 2.63054e27i 2.36576i
\(704\) 5.29517e25 + 1.47798e27i 0.0469829 + 1.31137i
\(705\) 1.38628e27 + 1.26519e27i 1.21354 + 1.10754i
\(706\) 1.53503e27 + 4.01505e26i 1.32578 + 0.346774i
\(707\) −1.59347e26 −0.135787
\(708\) 1.08659e27 3.59332e26i 0.913591 0.302121i
\(709\) −1.32128e27 −1.09611 −0.548057 0.836441i \(-0.684632\pi\)
−0.548057 + 0.836441i \(0.684632\pi\)
\(710\) −2.49829e27 6.53459e26i −2.04498 0.534889i
\(711\) 4.74019e26 4.33874e25i 0.382855 0.0350431i
\(712\) −1.90611e26 1.83904e26i −0.151910 0.146565i
\(713\) 5.02293e26i 0.395009i
\(714\) 6.85280e26 + 1.05698e27i 0.531784 + 0.820226i
\(715\) 6.42016e26i 0.491630i
\(716\) −1.67775e27 9.42129e26i −1.26781 0.711929i
\(717\) 4.60423e26 5.04491e26i 0.343341 0.376202i
\(718\) −6.09886e26 + 2.33171e27i −0.448814 + 1.71590i
\(719\) −1.98161e27 −1.43911 −0.719553 0.694438i \(-0.755653\pi\)
−0.719553 + 0.694438i \(0.755653\pi\)
\(720\) −1.30450e27 1.75666e27i −0.934946 1.25901i
\(721\) −2.01912e27 −1.42816
\(722\) 3.77929e26 1.44489e27i 0.263820 1.00863i
\(723\) 1.85431e27 2.03179e27i 1.27753 1.39980i
\(724\) 2.87472e26 + 1.61427e26i 0.195469 + 0.109764i
\(725\) 2.30157e26i 0.154459i
\(726\) 5.92907e26 + 9.14504e26i 0.392725 + 0.605742i
\(727\) 2.83819e27i 1.85551i −0.373185 0.927757i \(-0.621734\pi\)
0.373185 0.927757i \(-0.378266\pi\)
\(728\) 2.02239e26 + 1.95124e26i 0.130502 + 0.125910i
\(729\) 4.24572e26 + 1.51155e27i 0.270421 + 0.962742i
\(730\) −1.80950e27 4.73297e26i −1.13761 0.297555i
\(731\) 1.44353e27 0.895801
\(732\) −7.09631e26 + 2.34672e26i −0.434688 + 0.143749i
\(733\) 1.03374e27 0.625064 0.312532 0.949907i \(-0.398823\pi\)
0.312532 + 0.949907i \(0.398823\pi\)
\(734\) 1.46782e27 + 3.83925e26i 0.876111 + 0.229157i
\(735\) −8.33273e26 7.60486e26i −0.490973 0.448086i
\(736\) −5.46530e26 + 1.64070e26i −0.317888 + 0.0954309i
\(737\) 8.80047e26i 0.505318i
\(738\) −6.89943e25 + 4.15489e26i −0.0391091 + 0.235518i
\(739\) 2.99468e27i 1.67583i −0.545805 0.837913i \(-0.683776\pi\)
0.545805 0.837913i \(-0.316224\pi\)
\(740\) −2.30064e27 + 4.09701e27i −1.27101 + 2.26342i
\(741\) −4.62403e26 4.22012e26i −0.252202 0.230172i
\(742\) 3.71972e26 1.42212e27i 0.200296 0.765770i
\(743\) −7.43215e26 −0.395113 −0.197556 0.980292i \(-0.563301\pi\)
−0.197556 + 0.980292i \(0.563301\pi\)
\(744\) −2.26287e27 + 1.43986e26i −1.18773 + 0.0755751i
\(745\) 7.11879e26 0.368911
\(746\) 7.21634e26 2.75894e27i 0.369231 1.41164i
\(747\) 1.81179e26 + 1.97943e27i 0.0915296 + 0.999985i
\(748\) −1.65884e27 + 2.95408e27i −0.827446 + 1.47352i
\(749\) 1.77948e27i 0.876427i
\(750\) −1.24258e27 + 8.05609e26i −0.604284 + 0.391780i
\(751\) 1.16386e26i 0.0558883i −0.999609 0.0279441i \(-0.991104\pi\)
0.999609 0.0279441i \(-0.00889605\pi\)
\(752\) −1.15012e27 1.88657e27i −0.545348 0.894549i
\(753\) −8.38293e26 + 9.18527e26i −0.392503 + 0.430070i
\(754\) −5.29150e25 1.38406e25i −0.0244653 0.00639920i
\(755\) 2.30310e27 1.05152
\(756\) 1.54355e27 6.72073e26i 0.695928 0.303012i
\(757\) −4.60430e26 −0.204999 −0.102500 0.994733i \(-0.532684\pi\)
−0.102500 + 0.994733i \(0.532684\pi\)
\(758\) 3.28457e27 + 8.59119e26i 1.44418 + 0.377742i
\(759\) −6.76154e26 + 7.40869e26i −0.293595 + 0.321695i
\(760\) 3.62898e27 3.76132e27i 1.55616 1.61292i
\(761\) 7.62087e26i 0.322738i −0.986894 0.161369i \(-0.948409\pi\)
0.986894 0.161369i \(-0.0515909\pi\)
\(762\) 1.56929e27 1.01743e27i 0.656345 0.425533i
\(763\) 2.01956e27i