Properties

Label 17.10.d.a.9.5
Level $17$
Weight $10$
Character 17.9
Analytic conductor $8.756$
Analytic rank $0$
Dimension $52$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 17 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 17.d (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.75560921479\)
Analytic rank: \(0\)
Dimension: \(52\)
Relative dimension: \(13\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 9.5
Character \(\chi\) \(=\) 17.9
Dual form 17.10.d.a.2.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-10.5264 + 10.5264i) q^{2} +(-129.909 - 53.8103i) q^{3} +290.392i q^{4} +(-588.452 + 1420.65i) q^{5} +(1933.90 - 801.047i) q^{6} +(-818.389 - 1975.77i) q^{7} +(-8446.26 - 8446.26i) q^{8} +(62.9403 + 62.9403i) q^{9} +O(q^{10})\) \(q+(-10.5264 + 10.5264i) q^{2} +(-129.909 - 53.8103i) q^{3} +290.392i q^{4} +(-588.452 + 1420.65i) q^{5} +(1933.90 - 801.047i) q^{6} +(-818.389 - 1975.77i) q^{7} +(-8446.26 - 8446.26i) q^{8} +(62.9403 + 62.9403i) q^{9} +(-8760.00 - 21148.5i) q^{10} +(77662.6 - 32168.9i) q^{11} +(15626.1 - 37724.6i) q^{12} +12765.7i q^{13} +(29412.3 + 12183.0i) q^{14} +(152891. - 152891. i) q^{15} +29136.1 q^{16} +(-319104. - 129462. i) q^{17} -1325.06 q^{18} +(552253. - 552253. i) q^{19} +(-412545. - 170882. i) q^{20} +300708. i q^{21} +(-478883. + 1.15613e6i) q^{22} +(-1.22417e6 + 507067. i) q^{23} +(642754. + 1.55174e6i) q^{24} +(-290899. - 290899. i) q^{25} +(-134376. - 134376. i) q^{26} +(1.05436e6 + 2.54544e6i) q^{27} +(573746. - 237653. i) q^{28} +(836814. - 2.02025e6i) q^{29} +3.21877e6i q^{30} +(-2.69168e6 - 1.11493e6i) q^{31} +(4.01779e6 - 4.01779e6i) q^{32} -1.18201e7 q^{33} +(4.72177e6 - 1.99624e6i) q^{34} +3.28845e6 q^{35} +(-18277.3 + 18277.3i) q^{36} +(888857. + 368177. i) q^{37} +1.16264e7i q^{38} +(686926. - 1.65839e6i) q^{39} +(1.69694e7 - 7.02895e6i) q^{40} +(-1.11895e7 - 2.70139e7i) q^{41} +(-3.16536e6 - 3.16536e6i) q^{42} +(-6.88677e6 - 6.88677e6i) q^{43} +(9.34158e6 + 2.25526e7i) q^{44} +(-126453. + 52378.7i) q^{45} +(7.54846e6 - 1.82236e7i) q^{46} -1.22741e7i q^{47} +(-3.78506e6 - 1.56782e6i) q^{48} +(2.53004e7 - 2.53004e7i) q^{49} +6.12420e6 q^{50} +(3.44882e7 + 3.39894e7i) q^{51} -3.70706e6 q^{52} +(-3.83659e7 + 3.83659e7i) q^{53} +(-3.78928e7 - 1.56957e7i) q^{54} +1.29261e8i q^{55} +(-9.77551e6 + 2.36002e7i) q^{56} +(-1.01460e8 + 4.20260e7i) q^{57} +(1.24572e7 + 3.00744e7i) q^{58} +(-7.83688e7 - 7.83688e7i) q^{59} +(4.43983e7 + 4.43983e7i) q^{60} +(-3.25243e7 - 7.85206e7i) q^{61} +(4.00697e7 - 1.65974e7i) q^{62} +(72845.6 - 175865. i) q^{63} +9.95030e7i q^{64} +(-1.81356e7 - 7.51200e6i) q^{65} +(1.24423e8 - 1.24423e8i) q^{66} +1.27439e8 q^{67} +(3.75947e7 - 9.26652e7i) q^{68} +1.86317e8 q^{69} +(-3.46154e7 + 3.46154e7i) q^{70} +(-3.23928e8 - 1.34175e8i) q^{71} -1.06322e6i q^{72} +(9.63630e7 - 2.32641e8i) q^{73} +(-1.32320e7 + 5.48087e6i) q^{74} +(2.21371e7 + 5.34438e7i) q^{75} +(1.60370e8 + 1.60370e8i) q^{76} +(-1.27116e8 - 1.27116e8i) q^{77} +(1.02259e7 + 2.46876e7i) q^{78} +(1.51347e8 - 6.26901e7i) q^{79} +(-1.71452e7 + 4.13922e7i) q^{80} -3.89165e8i q^{81} +(4.02142e8 + 1.66573e8i) q^{82} +(-5.56409e8 + 5.56409e8i) q^{83} -8.73232e7 q^{84} +(3.71698e8 - 3.77153e8i) q^{85} +1.44985e8 q^{86} +(-2.17420e8 + 2.17420e8i) q^{87} +(-9.27665e8 - 3.84252e8i) q^{88} +2.83737e8i q^{89} +(779736. - 1.88245e6i) q^{90} +(2.52221e7 - 1.04473e7i) q^{91} +(-1.47248e8 - 3.55488e8i) q^{92} +(2.89680e8 + 2.89680e8i) q^{93} +(1.29202e8 + 1.29202e8i) q^{94} +(4.59583e8 + 1.10953e9i) q^{95} +(-7.38147e8 + 3.05750e8i) q^{96} +(-1.00334e8 + 2.42227e8i) q^{97} +5.32642e8i q^{98} +(6.91282e6 + 2.86339e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 52 q - 4 q^{2} - 4 q^{3} - 1140 q^{5} + 12308 q^{6} - 4 q^{7} + 2044 q^{8} - 83224 q^{9} - 117636 q^{10} - 115768 q^{11} - 145528 q^{12} + 463660 q^{14} + 288244 q^{15} - 3407880 q^{16} - 271932 q^{17} + 2193336 q^{18} - 406700 q^{19} + 493564 q^{20} + 800964 q^{22} - 4172180 q^{23} + 15078440 q^{24} + 11946576 q^{25} - 14209012 q^{26} - 7973656 q^{27} + 13540804 q^{28} + 7833752 q^{29} + 5936252 q^{31} - 26730116 q^{32} - 1635208 q^{33} - 53493988 q^{34} + 46992776 q^{35} - 12761764 q^{36} + 74606796 q^{37} + 74096776 q^{39} - 69317672 q^{40} - 71362288 q^{41} - 308117664 q^{42} - 3765712 q^{43} + 163659820 q^{44} + 14167408 q^{45} + 72135428 q^{46} + 164621412 q^{48} - 284548508 q^{49} + 226223888 q^{50} - 406733132 q^{51} + 103553016 q^{52} - 244724728 q^{53} + 971226260 q^{54} + 470691652 q^{56} - 440646580 q^{57} - 308561768 q^{58} - 481734984 q^{59} + 379626176 q^{60} + 507966228 q^{61} + 358867236 q^{62} + 1070586456 q^{63} + 366263684 q^{65} - 2244715148 q^{66} - 311910088 q^{67} - 1839196668 q^{68} + 533688136 q^{69} + 34867672 q^{70} + 186006812 q^{71} + 487115192 q^{73} - 214149412 q^{74} + 533015920 q^{75} + 1104236912 q^{76} - 237869092 q^{77} - 2081523384 q^{78} - 136338052 q^{79} - 922534152 q^{80} + 1951892384 q^{82} + 1843663888 q^{83} - 2630025952 q^{84} - 395061976 q^{85} + 1538547296 q^{86} - 369395636 q^{87} - 3388839640 q^{88} + 874363684 q^{90} + 2087197720 q^{91} + 1061427500 q^{92} + 576415420 q^{93} + 6899365112 q^{94} + 5031766876 q^{95} + 490811364 q^{96} - 3419996368 q^{97} - 5630536112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.5264 + 10.5264i −0.465204 + 0.465204i −0.900357 0.435153i \(-0.856694\pi\)
0.435153 + 0.900357i \(0.356694\pi\)
\(3\) −129.909 53.8103i −0.925966 0.383548i −0.131819 0.991274i \(-0.542082\pi\)
−0.794147 + 0.607726i \(0.792082\pi\)
\(4\) 290.392i 0.567171i
\(5\) −588.452 + 1420.65i −0.421062 + 1.01653i 0.560973 + 0.827834i \(0.310427\pi\)
−0.982035 + 0.188699i \(0.939573\pi\)
\(6\) 1933.90 801.047i 0.609191 0.252335i
\(7\) −818.389 1975.77i −0.128831 0.311024i 0.846282 0.532735i \(-0.178836\pi\)
−0.975112 + 0.221711i \(0.928836\pi\)
\(8\) −8446.26 8446.26i −0.729054 0.729054i
\(9\) 62.9403 + 62.9403i 0.00319770 + 0.00319770i
\(10\) −8760.00 21148.5i −0.277015 0.668774i
\(11\) 77662.6 32168.9i 1.59935 0.662474i 0.608031 0.793914i \(-0.291960\pi\)
0.991324 + 0.131439i \(0.0419598\pi\)
\(12\) 15626.1 37724.6i 0.217537 0.525181i
\(13\) 12765.7i 0.123965i 0.998077 + 0.0619826i \(0.0197423\pi\)
−0.998077 + 0.0619826i \(0.980258\pi\)
\(14\) 29412.3 + 12183.0i 0.204622 + 0.0847572i
\(15\) 152891. 152891.i 0.779778 0.779778i
\(16\) 29136.1 0.111146
\(17\) −319104. 129462.i −0.926643 0.375944i
\(18\) −1325.06 −0.00297516
\(19\) 552253. 552253.i 0.972181 0.972181i −0.0274427 0.999623i \(-0.508736\pi\)
0.999623 + 0.0274427i \(0.00873638\pi\)
\(20\) −412545. 170882.i −0.576548 0.238814i
\(21\) 300708.i 0.337411i
\(22\) −478883. + 1.15613e6i −0.435840 + 1.05221i
\(23\) −1.22417e6 + 507067.i −0.912149 + 0.377825i −0.788879 0.614548i \(-0.789338\pi\)
−0.123270 + 0.992373i \(0.539338\pi\)
\(24\) 642754. + 1.55174e6i 0.395452 + 0.954706i
\(25\) −290899. 290899.i −0.148940 0.148940i
\(26\) −134376. 134376.i −0.0576691 0.0576691i
\(27\) 1.05436e6 + 2.54544e6i 0.381813 + 0.921779i
\(28\) 573746. 237653.i 0.176404 0.0730690i
\(29\) 836814. 2.02025e6i 0.219704 0.530412i −0.775145 0.631784i \(-0.782323\pi\)
0.994849 + 0.101372i \(0.0323231\pi\)
\(30\) 3.21877e6i 0.725511i
\(31\) −2.69168e6 1.11493e6i −0.523474 0.216830i 0.105268 0.994444i \(-0.466430\pi\)
−0.628742 + 0.777614i \(0.716430\pi\)
\(32\) 4.01779e6 4.01779e6i 0.677348 0.677348i
\(33\) −1.18201e7 −1.73504
\(34\) 4.72177e6 1.99624e6i 0.605968 0.256187i
\(35\) 3.28845e6 0.370412
\(36\) −18277.3 + 18277.3i −0.00181364 + 0.00181364i
\(37\) 888857. + 368177.i 0.0779694 + 0.0322960i 0.421327 0.906909i \(-0.361564\pi\)
−0.343358 + 0.939205i \(0.611564\pi\)
\(38\) 1.16264e7i 0.904524i
\(39\) 686926. 1.65839e6i 0.0475466 0.114788i
\(40\) 1.69694e7 7.02895e6i 1.04808 0.434131i
\(41\) −1.11895e7 2.70139e7i −0.618420 1.49300i −0.853538 0.521031i \(-0.825547\pi\)
0.235117 0.971967i \(-0.424453\pi\)
\(42\) −3.16536e6 3.16536e6i −0.156965 0.156965i
\(43\) −6.88677e6 6.88677e6i −0.307190 0.307190i 0.536628 0.843819i \(-0.319698\pi\)
−0.843819 + 0.536628i \(0.819698\pi\)
\(44\) 9.34158e6 + 2.25526e7i 0.375736 + 0.907108i
\(45\) −126453. + 52378.7i −0.00459699 + 0.00190414i
\(46\) 7.54846e6 1.82236e7i 0.248570 0.600101i
\(47\) 1.22741e7i 0.366902i −0.983029 0.183451i \(-0.941273\pi\)
0.983029 0.183451i \(-0.0587268\pi\)
\(48\) −3.78506e6 1.56782e6i −0.102917 0.0426296i
\(49\) 2.53004e7 2.53004e7i 0.626968 0.626968i
\(50\) 6.12420e6 0.138575
\(51\) 3.44882e7 + 3.39894e7i 0.713847 + 0.703523i
\(52\) −3.70706e6 −0.0703095
\(53\) −3.83659e7 + 3.83659e7i −0.667888 + 0.667888i −0.957227 0.289339i \(-0.906565\pi\)
0.289339 + 0.957227i \(0.406565\pi\)
\(54\) −3.78928e7 1.56957e7i −0.606436 0.251194i
\(55\) 1.29261e8i 1.90474i
\(56\) −9.77551e6 + 2.36002e7i −0.132829 + 0.320678i
\(57\) −1.01460e8 + 4.20260e7i −1.27308 + 0.527329i
\(58\) 1.24572e7 + 3.00744e7i 0.144543 + 0.348957i
\(59\) −7.83688e7 7.83688e7i −0.841995 0.841995i 0.147124 0.989118i \(-0.452999\pi\)
−0.989118 + 0.147124i \(0.952999\pi\)
\(60\) 4.43983e7 + 4.43983e7i 0.442268 + 0.442268i
\(61\) −3.25243e7 7.85206e7i −0.300762 0.726105i −0.999938 0.0111544i \(-0.996449\pi\)
0.699175 0.714950i \(-0.253551\pi\)
\(62\) 4.00697e7 1.65974e7i 0.344392 0.142652i
\(63\) 72845.6 175865.i 0.000582601 0.00140652i
\(64\) 9.95030e7i 0.741355i
\(65\) −1.81356e7 7.51200e6i −0.126015 0.0521970i
\(66\) 1.24423e8 1.24423e8i 0.807146 0.807146i
\(67\) 1.27439e8 0.772619 0.386310 0.922369i \(-0.373750\pi\)
0.386310 + 0.922369i \(0.373750\pi\)
\(68\) 3.75947e7 9.26652e7i 0.213224 0.525565i
\(69\) 1.86317e8 0.989533
\(70\) −3.46154e7 + 3.46154e7i −0.172317 + 0.172317i
\(71\) −3.23928e8 1.34175e8i −1.51282 0.626629i −0.536679 0.843787i \(-0.680321\pi\)
−0.976136 + 0.217158i \(0.930321\pi\)
\(72\) 1.06322e6i 0.00466259i
\(73\) 9.63630e7 2.32641e8i 0.397153 0.958811i −0.591186 0.806536i \(-0.701340\pi\)
0.988338 0.152275i \(-0.0486601\pi\)
\(74\) −1.32320e7 + 5.48087e6i −0.0512959 + 0.0212474i
\(75\) 2.21371e7 + 5.34438e7i 0.0807878 + 0.195039i
\(76\) 1.60370e8 + 1.60370e8i 0.551393 + 0.551393i
\(77\) −1.27116e8 1.27116e8i −0.412091 0.412091i
\(78\) 1.02259e7 + 2.46876e7i 0.0312808 + 0.0755184i
\(79\) 1.51347e8 6.26901e7i 0.437173 0.181083i −0.153232 0.988190i \(-0.548968\pi\)
0.590405 + 0.807107i \(0.298968\pi\)
\(80\) −1.71452e7 + 4.13922e7i −0.0467991 + 0.112983i
\(81\) 3.89165e8i 1.00450i
\(82\) 4.02142e8 + 1.66573e8i 0.982239 + 0.406857i
\(83\) −5.56409e8 + 5.56409e8i −1.28689 + 1.28689i −0.350230 + 0.936664i \(0.613897\pi\)
−0.936664 + 0.350230i \(0.886103\pi\)
\(84\) −8.73232e7 −0.191370
\(85\) 3.71698e8 3.77153e8i 0.772333 0.783668i
\(86\) 1.44985e8 0.285812
\(87\) −2.17420e8 + 2.17420e8i −0.406877 + 0.406877i
\(88\) −9.27665e8 3.84252e8i −1.64900 0.683036i
\(89\) 2.83737e8i 0.479360i 0.970852 + 0.239680i \(0.0770425\pi\)
−0.970852 + 0.239680i \(0.922958\pi\)
\(90\) 779736. 1.88245e6i 0.00125273 0.00302435i
\(91\) 2.52221e7 1.04473e7i 0.0385562 0.0159705i
\(92\) −1.47248e8 3.55488e8i −0.214291 0.517345i
\(93\) 2.89680e8 + 2.89680e8i 0.401555 + 0.401555i
\(94\) 1.29202e8 + 1.29202e8i 0.170684 + 0.170684i
\(95\) 4.59583e8 + 1.10953e9i 0.578906 + 1.39760i
\(96\) −7.38147e8 + 3.05750e8i −0.886997 + 0.367406i
\(97\) −1.00334e8 + 2.42227e8i −0.115073 + 0.277811i −0.970914 0.239428i \(-0.923040\pi\)
0.855841 + 0.517239i \(0.173040\pi\)
\(98\) 5.32642e8i 0.583335i
\(99\) 6.91282e6 + 2.86339e6i 0.00723264 + 0.00299586i
\(100\) 8.44745e7 8.44745e7i 0.0844745 0.0844745i
\(101\) 1.01701e9 0.972477 0.486238 0.873826i \(-0.338369\pi\)
0.486238 + 0.873826i \(0.338369\pi\)
\(102\) −7.20820e8 + 5.25072e6i −0.659366 + 0.00480306i
\(103\) 1.11236e9 0.973814 0.486907 0.873454i \(-0.338125\pi\)
0.486907 + 0.873454i \(0.338125\pi\)
\(104\) 1.07822e8 1.07822e8i 0.0903773 0.0903773i
\(105\) −4.27201e8 1.76952e8i −0.342989 0.142071i
\(106\) 8.07706e8i 0.621408i
\(107\) 4.49497e8 1.08518e9i 0.331512 0.800342i −0.666960 0.745093i \(-0.732405\pi\)
0.998473 0.0552485i \(-0.0175951\pi\)
\(108\) −7.39176e8 + 3.06177e8i −0.522806 + 0.216554i
\(109\) 4.34048e8 + 1.04789e9i 0.294523 + 0.711041i 0.999997 + 0.00230568i \(0.000733922\pi\)
−0.705475 + 0.708735i \(0.749266\pi\)
\(110\) −1.36065e9 1.36065e9i −0.886092 0.886092i
\(111\) −9.56593e7 9.56593e7i −0.0598100 0.0598100i
\(112\) −2.38447e7 5.75662e7i −0.0143189 0.0345690i
\(113\) −1.27036e9 + 5.26199e8i −0.732948 + 0.303597i −0.717763 0.696288i \(-0.754834\pi\)
−0.0151850 + 0.999885i \(0.504834\pi\)
\(114\) 6.25621e8 1.51038e9i 0.346928 0.837558i
\(115\) 2.03750e9i 1.08632i
\(116\) 5.86663e8 + 2.43004e8i 0.300835 + 0.124610i
\(117\) −803477. + 803477.i −0.000396403 + 0.000396403i
\(118\) 1.64988e9 0.783398
\(119\) 5.36440e6 + 7.36426e8i 0.00245222 + 0.336641i
\(120\) −2.58271e9 −1.13700
\(121\) 3.32932e9 3.32932e9i 1.41196 1.41196i
\(122\) 1.16890e9 + 4.84173e8i 0.477702 + 0.197871i
\(123\) 4.11147e9i 1.61966i
\(124\) 3.23766e8 7.81641e8i 0.122980 0.296900i
\(125\) −2.19026e9 + 9.07235e8i −0.802418 + 0.332372i
\(126\) 1.08442e6 + 2.61802e6i 0.000383291 + 0.000925347i
\(127\) 1.15794e9 + 1.15794e9i 0.394974 + 0.394974i 0.876456 0.481482i \(-0.159901\pi\)
−0.481482 + 0.876456i \(0.659901\pi\)
\(128\) 1.00970e9 + 1.00970e9i 0.332467 + 0.332467i
\(129\) 5.24078e8 + 1.26524e9i 0.166626 + 0.402270i
\(130\) 2.69976e8 1.11828e8i 0.0829048 0.0343403i
\(131\) 1.87492e9 4.52645e9i 0.556239 1.34288i −0.356484 0.934302i \(-0.616024\pi\)
0.912723 0.408579i \(-0.133976\pi\)
\(132\) 3.43247e9i 0.984064i
\(133\) −1.54308e9 6.39165e8i −0.427618 0.177125i
\(134\) −1.34147e9 + 1.34147e9i −0.359425 + 0.359425i
\(135\) −4.23662e9 −1.09779
\(136\) 1.60177e9 + 3.78871e9i 0.401489 + 0.949655i
\(137\) −3.10441e9 −0.752899 −0.376449 0.926437i \(-0.622855\pi\)
−0.376449 + 0.926437i \(0.622855\pi\)
\(138\) −1.96123e9 + 1.96123e9i −0.460334 + 0.460334i
\(139\) 2.60628e8 + 1.07956e8i 0.0592181 + 0.0245289i 0.412096 0.911140i \(-0.364797\pi\)
−0.352878 + 0.935669i \(0.614797\pi\)
\(140\) 9.54939e8i 0.210087i
\(141\) −6.60473e8 + 1.59452e9i −0.140724 + 0.339738i
\(142\) 4.82216e9 1.99740e9i 0.995277 0.412257i
\(143\) 4.10659e8 + 9.91418e8i 0.0821238 + 0.198264i
\(144\) 1.83384e6 + 1.83384e6i 0.000355410 + 0.000355410i
\(145\) 2.37764e9 + 2.37764e9i 0.446673 + 0.446673i
\(146\) 1.43451e9 + 3.46321e9i 0.261286 + 0.630799i
\(147\) −4.64819e9 + 1.92534e9i −0.821023 + 0.340079i
\(148\) −1.06915e8 + 2.58117e8i −0.0183174 + 0.0442220i
\(149\) 1.55842e9i 0.259028i −0.991578 0.129514i \(-0.958658\pi\)
0.991578 0.129514i \(-0.0413417\pi\)
\(150\) −7.95592e8 3.29545e8i −0.128316 0.0531501i
\(151\) −5.92882e9 + 5.92882e9i −0.928051 + 0.928051i −0.997580 0.0695289i \(-0.977850\pi\)
0.0695289 + 0.997580i \(0.477850\pi\)
\(152\) −9.32895e9 −1.41754
\(153\) −1.19361e7 2.82329e7i −0.00176097 0.00416528i
\(154\) 2.67615e9 0.383413
\(155\) 3.16785e9 3.16785e9i 0.440830 0.440830i
\(156\) 4.81582e8 + 1.99478e8i 0.0651042 + 0.0269671i
\(157\) 8.18273e9i 1.07486i −0.843310 0.537428i \(-0.819396\pi\)
0.843310 0.537428i \(-0.180604\pi\)
\(158\) −9.33237e8 + 2.25303e9i −0.119134 + 0.287615i
\(159\) 7.04857e9 2.91961e9i 0.874609 0.362275i
\(160\) 3.34359e9 + 8.07214e9i 0.403342 + 0.973753i
\(161\) 2.00369e9 + 2.00369e9i 0.235025 + 0.235025i
\(162\) 4.09648e9 + 4.09648e9i 0.467298 + 0.467298i
\(163\) −3.53544e9 8.53531e9i −0.392283 0.947055i −0.989442 0.144932i \(-0.953704\pi\)
0.597159 0.802123i \(-0.296296\pi\)
\(164\) 7.84460e9 3.24934e9i 0.846786 0.350750i
\(165\) 6.95557e9 1.67922e10i 0.730559 1.76373i
\(166\) 1.17139e10i 1.19734i
\(167\) −9.94146e9 4.11789e9i −0.989067 0.409685i −0.171291 0.985221i \(-0.554794\pi\)
−0.817777 + 0.575535i \(0.804794\pi\)
\(168\) 2.53986e9 2.53986e9i 0.245990 0.245990i
\(169\) 1.04415e10 0.984633
\(170\) 5.74202e7 + 7.88266e9i 0.00527284 + 0.723857i
\(171\) 6.95179e7 0.00621748
\(172\) 1.99986e9 1.99986e9i 0.174230 0.174230i
\(173\) −1.52806e10 6.32944e9i −1.29698 0.537227i −0.375922 0.926651i \(-0.622674\pi\)
−0.921059 + 0.389424i \(0.872674\pi\)
\(174\) 4.57728e9i 0.378561i
\(175\) −3.36679e8 + 8.12816e8i −0.0271360 + 0.0655120i
\(176\) 2.26279e9 9.37277e8i 0.177761 0.0736311i
\(177\) 5.96380e9 + 1.43979e10i 0.456713 + 1.10260i
\(178\) −2.98672e9 2.98672e9i −0.223000 0.223000i
\(179\) 8.52450e9 + 8.52450e9i 0.620627 + 0.620627i 0.945692 0.325065i \(-0.105386\pi\)
−0.325065 + 0.945692i \(0.605386\pi\)
\(180\) −1.52103e7 3.67210e7i −0.00107997 0.00260728i
\(181\) −1.89837e10 + 7.86330e9i −1.31470 + 0.544567i −0.926252 0.376904i \(-0.876989\pi\)
−0.388448 + 0.921471i \(0.626989\pi\)
\(182\) −1.55524e8 + 3.75468e8i −0.0105069 + 0.0253660i
\(183\) 1.19507e10i 0.787705i
\(184\) 1.46225e10 + 6.05682e9i 0.940460 + 0.389551i
\(185\) −1.04610e9 + 1.04610e9i −0.0656599 + 0.0656599i
\(186\) −6.09854e9 −0.373610
\(187\) −2.89471e10 + 2.10862e8i −1.73108 + 0.0126099i
\(188\) 3.56430e9 0.208096
\(189\) 4.16633e9 4.16633e9i 0.237506 0.237506i
\(190\) −1.65171e10 6.84159e9i −0.919479 0.380861i
\(191\) 3.26529e10i 1.77530i 0.460517 + 0.887651i \(0.347664\pi\)
−0.460517 + 0.887651i \(0.652336\pi\)
\(192\) 5.35428e9 1.29264e10i 0.284345 0.686470i
\(193\) 2.57010e10 1.06457e10i 1.33334 0.552289i 0.401736 0.915756i \(-0.368407\pi\)
0.931607 + 0.363467i \(0.118407\pi\)
\(194\) −1.49362e9 3.60592e9i −0.0757064 0.182771i
\(195\) 1.95176e9 + 1.95176e9i 0.0966654 + 0.0966654i
\(196\) 7.34703e9 + 7.34703e9i 0.355598 + 0.355598i
\(197\) −1.05700e10 2.55183e10i −0.500009 1.20713i −0.949478 0.313833i \(-0.898387\pi\)
0.449469 0.893296i \(-0.351613\pi\)
\(198\) −1.02908e8 + 4.26258e7i −0.00475834 + 0.00197097i
\(199\) −1.43774e10 + 3.47100e10i −0.649891 + 1.56897i 0.163043 + 0.986619i \(0.447869\pi\)
−0.812934 + 0.582356i \(0.802131\pi\)
\(200\) 4.91401e9i 0.217171i
\(201\) −1.65555e10 6.85752e9i −0.715419 0.296336i
\(202\) −1.07054e10 + 1.07054e10i −0.452400 + 0.452400i
\(203\) −4.67638e9 −0.193276
\(204\) −9.87025e9 + 1.00151e10i −0.399018 + 0.404874i
\(205\) 4.49617e10 1.77808
\(206\) −1.17091e10 + 1.17091e10i −0.453022 + 0.453022i
\(207\) −1.08964e8 4.51346e7i −0.00412495 0.00170861i
\(208\) 3.71943e8i 0.0137782i
\(209\) 2.51240e10 6.06548e10i 0.910817 2.19891i
\(210\) 6.35953e9 2.63421e9i 0.225652 0.0934680i
\(211\) 1.41079e9 + 3.40596e9i 0.0489996 + 0.118296i 0.946484 0.322751i \(-0.104608\pi\)
−0.897484 + 0.441046i \(0.854608\pi\)
\(212\) −1.11411e10 1.11411e10i −0.378807 0.378807i
\(213\) 3.48613e10 + 3.48613e10i 1.16047 + 1.16047i
\(214\) 6.69144e9 + 1.61546e10i 0.218101 + 0.526543i
\(215\) 1.38362e10 5.73115e9i 0.441615 0.182923i
\(216\) 1.25941e10 3.04049e10i 0.393664 0.950389i
\(217\) 6.23057e9i 0.190748i
\(218\) −1.55994e10 6.46147e9i −0.467792 0.193766i
\(219\) −2.50369e10 + 2.50369e10i −0.735500 + 0.735500i
\(220\) −3.75363e10 −1.08031
\(221\) 1.65268e9 4.07359e9i 0.0466039 0.114871i
\(222\) 2.01389e9 0.0556477
\(223\) −8.94485e9 + 8.94485e9i −0.242215 + 0.242215i −0.817766 0.575551i \(-0.804788\pi\)
0.575551 + 0.817766i \(0.304788\pi\)
\(224\) −1.12263e10 4.65010e9i −0.297935 0.123409i
\(225\) 3.66185e7i 0.000952530i
\(226\) 7.83327e9 1.89112e10i 0.199736 0.482204i
\(227\) 4.09024e10 1.69423e10i 1.02243 0.423503i 0.192453 0.981306i \(-0.438356\pi\)
0.829973 + 0.557803i \(0.188356\pi\)
\(228\) −1.22040e10 2.94631e10i −0.299086 0.722057i
\(229\) −4.72078e10 4.72078e10i −1.13437 1.13437i −0.989443 0.144925i \(-0.953706\pi\)
−0.144925 0.989443i \(-0.546294\pi\)
\(230\) 2.14474e10 + 2.14474e10i 0.505359 + 0.505359i
\(231\) 9.67346e9 + 2.33538e10i 0.223526 + 0.539639i
\(232\) −2.41315e10 + 9.99558e9i −0.546875 + 0.226523i
\(233\) 2.38301e10 5.75309e10i 0.529692 1.27879i −0.402033 0.915625i \(-0.631696\pi\)
0.931725 0.363165i \(-0.118304\pi\)
\(234\) 1.69154e7i 0.000368816i
\(235\) 1.74372e10 + 7.22272e9i 0.372968 + 0.154488i
\(236\) 2.27577e10 2.27577e10i 0.477555 0.477555i
\(237\) −2.30348e10 −0.474261
\(238\) −7.80834e9 7.69541e9i −0.157748 0.155466i
\(239\) 6.82772e10 1.35358 0.676792 0.736174i \(-0.263370\pi\)
0.676792 + 0.736174i \(0.263370\pi\)
\(240\) 4.45465e9 4.45465e9i 0.0866688 0.0866688i
\(241\) −5.72975e10 2.37334e10i −1.09410 0.453193i −0.238668 0.971101i \(-0.576711\pi\)
−0.855436 + 0.517908i \(0.826711\pi\)
\(242\) 7.00912e10i 1.31369i
\(243\) −1.88125e8 + 4.54174e8i −0.00346114 + 0.00835592i
\(244\) 2.28017e10 9.44478e9i 0.411826 0.170584i
\(245\) 2.10549e10 + 5.08311e10i 0.373341 + 0.901326i
\(246\) −4.32788e10 4.32788e10i −0.753471 0.753471i
\(247\) 7.04990e9 + 7.04990e9i 0.120517 + 0.120517i
\(248\) 1.33176e10 + 3.21516e10i 0.223560 + 0.539722i
\(249\) 1.02223e11 4.23423e10i 1.68521 0.698035i
\(250\) 1.35056e10 3.26053e10i 0.218667 0.527908i
\(251\) 8.72683e10i 1.38779i 0.720074 + 0.693897i \(0.244108\pi\)
−0.720074 + 0.693897i \(0.755892\pi\)
\(252\) 5.10697e7 + 2.11538e7i 0.000797739 + 0.000330434i
\(253\) −7.87603e10 + 7.87603e10i −1.20855 + 1.20855i
\(254\) −2.43777e10 −0.367486
\(255\) −6.85817e10 + 2.89945e10i −1.01573 + 0.429423i
\(256\) −7.22025e10 −1.05069
\(257\) −1.64355e10 + 1.64355e10i −0.235009 + 0.235009i −0.814780 0.579771i \(-0.803142\pi\)
0.579771 + 0.814780i \(0.303142\pi\)
\(258\) −1.88350e10 7.80169e9i −0.264652 0.109623i
\(259\) 2.05749e9i 0.0284111i
\(260\) 2.18142e9 5.26642e9i 0.0296047 0.0714719i
\(261\) 1.79824e8 7.44856e7i 0.00239864 0.000993551i
\(262\) 2.79110e10 + 6.73831e10i 0.365948 + 0.883477i
\(263\) −1.80017e10 1.80017e10i −0.232014 0.232014i 0.581519 0.813533i \(-0.302459\pi\)
−0.813533 + 0.581519i \(0.802459\pi\)
\(264\) 9.98358e10 + 9.98358e10i 1.26494 + 1.26494i
\(265\) −3.19280e10 7.70809e10i −0.397708 0.960153i
\(266\) 2.29711e10 9.51494e9i 0.281329 0.116530i
\(267\) 1.52680e10 3.68602e10i 0.183857 0.443871i
\(268\) 3.70072e10i 0.438207i
\(269\) 1.53860e10 + 6.37307e9i 0.179159 + 0.0742102i 0.470460 0.882421i \(-0.344088\pi\)
−0.291301 + 0.956632i \(0.594088\pi\)
\(270\) 4.45962e10 4.45962e10i 0.510694 0.510694i
\(271\) −7.55383e10 −0.850756 −0.425378 0.905016i \(-0.639859\pi\)
−0.425378 + 0.905016i \(0.639859\pi\)
\(272\) −9.29746e9 3.77203e9i −0.102992 0.0417844i
\(273\) −3.83876e9 −0.0418272
\(274\) 3.26781e10 3.26781e10i 0.350251 0.350251i
\(275\) −3.19498e10 1.32341e10i −0.336877 0.139539i
\(276\) 5.41048e10i 0.561235i
\(277\) 1.18144e10 2.85226e10i 0.120574 0.291092i −0.852056 0.523451i \(-0.824644\pi\)
0.972630 + 0.232359i \(0.0746444\pi\)
\(278\) −3.87984e9 + 1.60708e9i −0.0389594 + 0.0161375i
\(279\) −9.92410e7 2.39589e8i −0.000980555 0.00236727i
\(280\) −2.77751e10 2.77751e10i −0.270050 0.270050i
\(281\) 4.17258e10 + 4.17258e10i 0.399233 + 0.399233i 0.877962 0.478729i \(-0.158903\pi\)
−0.478729 + 0.877962i \(0.658903\pi\)
\(282\) −9.83214e9 2.37369e10i −0.0925821 0.223513i
\(283\) −1.69623e11 + 7.02599e10i −1.57197 + 0.651132i −0.987116 0.160006i \(-0.948849\pi\)
−0.584855 + 0.811138i \(0.698849\pi\)
\(284\) 3.89634e10 9.40660e10i 0.355406 0.858025i
\(285\) 1.68869e11i 1.51617i
\(286\) −1.47588e10 6.11328e9i −0.130438 0.0540290i
\(287\) −4.42157e10 + 4.42157e10i −0.384687 + 0.384687i
\(288\) 5.05761e8 0.00433191
\(289\) 8.50670e10 + 8.26238e10i 0.717333 + 0.696731i
\(290\) −5.00557e10 −0.415587
\(291\) 2.60686e10 2.60686e10i 0.213108 0.213108i
\(292\) 6.75570e10 + 2.79830e10i 0.543810 + 0.225253i
\(293\) 8.80276e10i 0.697774i −0.937165 0.348887i \(-0.886560\pi\)
0.937165 0.348887i \(-0.113440\pi\)
\(294\) 2.86616e10 6.91953e10i 0.223737 0.540149i
\(295\) 1.57451e11 6.52183e10i 1.21045 0.501384i
\(296\) −4.39780e9 1.06172e10i −0.0332984 0.0803894i
\(297\) 1.63768e11 + 1.63768e11i 1.22131 + 1.22131i
\(298\) 1.64045e10 + 1.64045e10i 0.120501 + 0.120501i
\(299\) −6.47307e9 1.56274e10i −0.0468371 0.113075i
\(300\) −1.55196e10 + 6.42844e9i −0.110621 + 0.0458205i
\(301\) −7.97059e9 + 1.92427e10i −0.0559682 + 0.135119i
\(302\) 1.24818e11i 0.863465i
\(303\) −1.32119e11 5.47256e10i −0.900481 0.372991i
\(304\) 1.60905e10 1.60905e10i 0.108054 0.108054i
\(305\) 1.30689e11 0.864749
\(306\) 4.22833e8 + 1.71546e8i 0.00275691 + 0.00111849i
\(307\) 1.25066e11 0.803558 0.401779 0.915737i \(-0.368392\pi\)
0.401779 + 0.915737i \(0.368392\pi\)
\(308\) 3.69136e10 3.69136e10i 0.233726 0.233726i
\(309\) −1.44506e11 5.98561e10i −0.901719 0.373504i
\(310\) 6.66917e10i 0.410152i
\(311\) 4.73166e10 1.14232e11i 0.286808 0.692416i −0.713155 0.701006i \(-0.752734\pi\)
0.999963 + 0.00859042i \(0.00273445\pi\)
\(312\) −1.98091e10 + 8.20520e9i −0.118350 + 0.0490223i
\(313\) −1.88470e10 4.55007e10i −0.110992 0.267959i 0.858617 0.512618i \(-0.171324\pi\)
−0.969609 + 0.244658i \(0.921324\pi\)
\(314\) 8.61344e10 + 8.61344e10i 0.500027 + 0.500027i
\(315\) 2.06976e8 + 2.06976e8i 0.00118447 + 0.00118447i
\(316\) 1.82047e10 + 4.39500e10i 0.102705 + 0.247952i
\(317\) −2.71663e11 + 1.12526e11i −1.51100 + 0.625875i −0.975763 0.218829i \(-0.929776\pi\)
−0.535233 + 0.844705i \(0.679776\pi\)
\(318\) −4.34629e10 + 1.04929e11i −0.238340 + 0.575403i
\(319\) 1.83817e11i 0.993865i
\(320\) −1.41359e11 5.85527e10i −0.753612 0.312156i
\(321\) −1.16788e11 + 1.16788e11i −0.613939 + 0.613939i
\(322\) −4.21832e10 −0.218669
\(323\) −2.47722e11 + 1.04730e11i −1.26635 + 0.535379i
\(324\) 1.13010e11 0.569725
\(325\) 3.71353e9 3.71353e9i 0.0184634 0.0184634i
\(326\) 1.27061e11 + 5.26304e10i 0.623065 + 0.258082i
\(327\) 1.59487e11i 0.771363i
\(328\) −1.33657e11 + 3.22676e11i −0.637614 + 1.53934i
\(329\) −2.42508e10 + 1.00450e10i −0.114115 + 0.0472681i
\(330\) 1.03544e11 + 2.49978e11i 0.480633 + 1.16035i
\(331\) −2.17162e10 2.17162e10i −0.0994395 0.0994395i 0.655637 0.755076i \(-0.272400\pi\)
−0.755076 + 0.655637i \(0.772400\pi\)
\(332\) −1.61577e11 1.61577e11i −0.729889 0.729889i
\(333\) 3.27718e7 + 7.91181e7i 0.000146050 + 0.000352595i
\(334\) 1.47994e11 6.13010e10i 0.650705 0.269531i
\(335\) −7.49917e10 + 1.81046e11i −0.325321 + 0.785393i
\(336\) 8.76148e9i 0.0375017i
\(337\) 3.94971e11 + 1.63602e11i 1.66813 + 0.690963i 0.998654 0.0518683i \(-0.0165176\pi\)
0.669479 + 0.742831i \(0.266518\pi\)
\(338\) −1.09911e11 + 1.09911e11i −0.458055 + 0.458055i
\(339\) 1.93346e11 0.795129
\(340\) 1.09522e11 + 1.07938e11i 0.444474 + 0.438045i
\(341\) −2.44909e11 −0.980866
\(342\) −7.31770e8 + 7.31770e8i −0.00289239 + 0.00289239i
\(343\) −1.50423e11 6.23071e10i −0.586799 0.243060i
\(344\) 1.16335e11i 0.447917i
\(345\) −1.09638e11 + 2.64690e11i −0.416655 + 1.00589i
\(346\) 2.27475e11 9.42233e10i 0.853280 0.353440i
\(347\) 5.02641e10 + 1.21348e11i 0.186112 + 0.449315i 0.989205 0.146540i \(-0.0468136\pi\)
−0.803093 + 0.595854i \(0.796814\pi\)
\(348\) −6.31370e10 6.31370e10i −0.230769 0.230769i
\(349\) −1.34700e11 1.34700e11i −0.486018 0.486018i 0.421029 0.907047i \(-0.361669\pi\)
−0.907047 + 0.421029i \(0.861669\pi\)
\(350\) −5.01198e9 1.21000e10i −0.0178527 0.0431002i
\(351\) −3.24944e10 + 1.34596e10i −0.114268 + 0.0473316i
\(352\) 1.82784e11 4.41280e11i 0.634594 1.53205i
\(353\) 5.20746e10i 0.178501i −0.996009 0.0892503i \(-0.971553\pi\)
0.996009 0.0892503i \(-0.0284471\pi\)
\(354\) −2.14335e11 8.87803e10i −0.725400 0.300470i
\(355\) 3.81232e11 3.81232e11i 1.27398 1.27398i
\(356\) −8.23950e10 −0.271879
\(357\) 3.89304e10 9.59573e10i 0.126847 0.312659i
\(358\) −1.79464e11 −0.577435
\(359\) 4.35039e11 4.35039e11i 1.38230 1.38230i 0.541788 0.840515i \(-0.317747\pi\)
0.840515 0.541788i \(-0.182253\pi\)
\(360\) 1.51046e9 + 6.25654e8i 0.00473967 + 0.00196324i
\(361\) 2.87279e11i 0.890271i
\(362\) 1.17057e11 2.82601e11i 0.358269 0.864938i
\(363\) −6.11662e11 + 2.53359e11i −1.84898 + 0.765871i
\(364\) 3.03381e9 + 7.32427e9i 0.00905801 + 0.0218680i
\(365\) 2.73796e11 + 2.73796e11i 0.807438 + 0.807438i
\(366\) −1.25797e11 1.25797e11i −0.366443 0.366443i
\(367\) 2.14315e11 + 5.17401e11i 0.616672 + 1.48878i 0.855545 + 0.517728i \(0.173222\pi\)
−0.238873 + 0.971051i \(0.576778\pi\)
\(368\) −3.56675e10 + 1.47740e10i −0.101381 + 0.0419935i
\(369\) 9.95989e8 2.40453e9i 0.00279664 0.00675168i
\(370\) 2.20232e10i 0.0610904i
\(371\) 1.07200e11 + 4.44038e10i 0.293774 + 0.121685i
\(372\) −8.41206e10 + 8.41206e10i −0.227750 + 0.227750i
\(373\) 2.00817e10 0.0537169 0.0268585 0.999639i \(-0.491450\pi\)
0.0268585 + 0.999639i \(0.491450\pi\)
\(374\) 3.02488e11 3.06927e11i 0.799440 0.811172i
\(375\) 3.33354e11 0.870492
\(376\) −1.03670e11 + 1.03670e11i −0.267491 + 0.267491i
\(377\) 2.57899e10 + 1.06825e10i 0.0657526 + 0.0272356i
\(378\) 8.77125e10i 0.220978i
\(379\) 8.50937e9 2.05434e10i 0.0211846 0.0511442i −0.912933 0.408109i \(-0.866188\pi\)
0.934118 + 0.356965i \(0.116188\pi\)
\(380\) −3.22199e11 + 1.33459e11i −0.792680 + 0.328339i
\(381\) −8.81181e10 2.12736e11i −0.214241 0.517223i
\(382\) −3.43717e11 3.43717e11i −0.825877 0.825877i
\(383\) 7.48749e10 + 7.48749e10i 0.177804 + 0.177804i 0.790398 0.612594i \(-0.209874\pi\)
−0.612594 + 0.790398i \(0.709874\pi\)
\(384\) −7.68376e10 1.85502e11i −0.180336 0.435370i
\(385\) 2.55390e11 1.05786e11i 0.592421 0.245389i
\(386\) −1.58477e11 + 3.82598e11i −0.363349 + 0.877203i
\(387\) 8.66911e8i 0.00196460i
\(388\) −7.03407e10 2.91361e10i −0.157567 0.0652662i
\(389\) −4.53778e10 + 4.53778e10i −0.100478 + 0.100478i −0.755559 0.655081i \(-0.772635\pi\)
0.655081 + 0.755559i \(0.272635\pi\)
\(390\) −4.10899e10 −0.0899381
\(391\) 4.56283e11 3.32374e9i 0.987277 0.00719169i
\(392\) −4.27388e11 −0.914187
\(393\) −4.87139e11 + 4.87139e11i −1.03012 + 1.03012i
\(394\) 3.79878e11 + 1.57351e11i 0.794166 + 0.328955i
\(395\) 2.51902e11i 0.520648i
\(396\) −8.31503e8 + 2.00743e9i −0.00169917 + 0.00410215i
\(397\) −1.26626e11 + 5.24501e10i −0.255838 + 0.105971i −0.506916 0.861995i \(-0.669215\pi\)
0.251079 + 0.967967i \(0.419215\pi\)
\(398\) −2.14029e11 5.16711e11i −0.427561 1.03222i
\(399\) 1.66067e11 + 1.66067e11i 0.328024 + 0.328024i
\(400\) −8.47566e9 8.47566e9i −0.0165540 0.0165540i
\(401\) −1.84954e11 4.46519e11i −0.357202 0.862363i −0.995691 0.0927318i \(-0.970440\pi\)
0.638489 0.769631i \(-0.279560\pi\)
\(402\) 2.46454e11 1.02085e11i 0.470672 0.194959i
\(403\) 1.42329e10 3.43612e10i 0.0268794 0.0648926i
\(404\) 2.95331e11i 0.551561i
\(405\) 5.52866e11 + 2.29005e11i 1.02111 + 0.422957i
\(406\) 4.92252e10 4.92252e10i 0.0899125 0.0899125i
\(407\) 8.08748e10 0.146096
\(408\) −4.21314e9 5.78380e11i −0.00752722 1.03334i
\(409\) −2.08768e11 −0.368900 −0.184450 0.982842i \(-0.559050\pi\)
−0.184450 + 0.982842i \(0.559050\pi\)
\(410\) −4.73283e11 + 4.73283e11i −0.827167 + 0.827167i
\(411\) 4.03292e11 + 1.67049e11i 0.697159 + 0.288773i
\(412\) 3.23019e11i 0.552319i
\(413\) −9.07023e10 + 2.18975e11i −0.153406 + 0.370355i
\(414\) 1.62210e9 6.71896e8i 0.00271379 0.00112409i
\(415\) −4.63042e11 1.11788e12i −0.766309 1.85003i
\(416\) 5.12899e10 + 5.12899e10i 0.0839676 + 0.0839676i
\(417\) −2.80489e10 2.80489e10i −0.0454259 0.0454259i
\(418\) 3.74009e11 + 9.02938e11i 0.599224 + 1.44665i
\(419\) 1.66284e11 6.88770e10i 0.263564 0.109172i −0.246988 0.969018i \(-0.579441\pi\)
0.510553 + 0.859847i \(0.329441\pi\)
\(420\) 5.13855e10 1.24056e11i 0.0805785 0.194534i
\(421\) 1.24378e12i 1.92963i 0.262937 + 0.964813i \(0.415309\pi\)
−0.262937 + 0.964813i \(0.584691\pi\)
\(422\) −5.07029e10 2.10018e10i −0.0778263 0.0322367i
\(423\) 7.72536e8 7.72536e8i 0.00117324 0.00117324i
\(424\) 6.48097e11 0.973853
\(425\) 5.51666e10 + 1.30487e11i 0.0820211 + 0.194007i
\(426\) −7.33925e11 −1.07971
\(427\) −1.28521e11 + 1.28521e11i −0.187089 + 0.187089i
\(428\) 3.15128e11 + 1.30530e11i 0.453931 + 0.188024i
\(429\) 1.50892e11i 0.215084i
\(430\) −8.53168e10 + 2.05973e11i −0.120345 + 0.290538i
\(431\) −7.85580e11 + 3.25398e11i −1.09659 + 0.454221i −0.856299 0.516481i \(-0.827242\pi\)
−0.240288 + 0.970702i \(0.577242\pi\)
\(432\) 3.07199e10 + 7.41644e10i 0.0424368 + 0.102452i
\(433\) −4.88725e11 4.88725e11i −0.668142 0.668142i 0.289144 0.957286i \(-0.406629\pi\)
−0.957286 + 0.289144i \(0.906629\pi\)
\(434\) −6.55852e10 6.55852e10i −0.0887365 0.0887365i
\(435\) −1.80936e11 4.36819e11i −0.242283 0.584924i
\(436\) −3.04297e11 + 1.26044e11i −0.403282 + 0.167045i
\(437\) −3.96021e11 + 9.56080e11i −0.519460 + 1.25409i
\(438\) 5.27095e11i 0.684314i
\(439\) −1.83436e11 7.59816e10i −0.235719 0.0976378i 0.261697 0.965150i \(-0.415718\pi\)
−0.497416 + 0.867512i \(0.665718\pi\)
\(440\) 1.09177e12 1.09177e12i 1.38866 1.38866i
\(441\) 3.18483e9 0.00400971
\(442\) 2.54834e10 + 6.02767e10i 0.0317583 + 0.0751189i
\(443\) 1.17901e12 1.45445 0.727227 0.686397i \(-0.240809\pi\)
0.727227 + 0.686397i \(0.240809\pi\)
\(444\) 2.77787e10 2.77787e10i 0.0339225 0.0339225i
\(445\) −4.03091e11 1.66966e11i −0.487285 0.201840i
\(446\) 1.88313e11i 0.225359i
\(447\) −8.38591e10 + 2.02454e11i −0.0993496 + 0.239851i
\(448\) 1.96595e11 8.14322e10i 0.230580 0.0955092i
\(449\) 2.95767e10 + 7.14045e10i 0.0343432 + 0.0829119i 0.940121 0.340842i \(-0.110712\pi\)
−0.905777 + 0.423754i \(0.860712\pi\)
\(450\) 3.85459e8 + 3.85459e8i 0.000443120 + 0.000443120i
\(451\) −1.73801e12 1.73801e12i −1.97815 1.97815i
\(452\) −1.52804e11 3.68901e11i −0.172191 0.415707i
\(453\) 1.08924e12 4.51178e11i 1.21530 0.503392i
\(454\) −2.52212e11 + 6.08893e11i −0.278621 + 0.672651i
\(455\) 4.19794e10i 0.0459182i
\(456\) 1.21192e12 + 5.01993e11i 1.31260 + 0.543696i
\(457\) 1.85350e11 1.85350e11i 0.198778 0.198778i −0.600698 0.799476i \(-0.705110\pi\)
0.799476 + 0.600698i \(0.205110\pi\)
\(458\) 9.93851e11 1.05542
\(459\) −6.91113e9 9.48761e11i −0.00726762 0.997700i
\(460\) 5.91672e11 0.616128
\(461\) 5.55612e11 5.55612e11i 0.572951 0.572951i −0.360001 0.932952i \(-0.617224\pi\)
0.932952 + 0.360001i \(0.117224\pi\)
\(462\) −3.47657e11 1.44004e11i −0.355027 0.147057i
\(463\) 1.23202e12i 1.24596i −0.782237 0.622981i \(-0.785921\pi\)
0.782237 0.622981i \(-0.214079\pi\)
\(464\) 2.43815e10 5.88622e10i 0.0244191 0.0589529i
\(465\) −5.81996e11 + 2.41071e11i −0.577273 + 0.239114i
\(466\) 3.54747e11 + 8.56434e11i 0.348483 + 0.841313i
\(467\) −3.93738e10 3.93738e10i −0.0383073 0.0383073i 0.687694 0.726001i \(-0.258623\pi\)
−0.726001 + 0.687694i \(0.758623\pi\)
\(468\) −2.33323e8 2.33323e8i −0.000224828 0.000224828i
\(469\) −1.04295e11 2.51790e11i −0.0995369 0.240303i
\(470\) −2.59579e11 + 1.07521e11i −0.245374 + 0.101637i
\(471\) −4.40315e11 + 1.06301e12i −0.412258 + 0.995280i
\(472\) 1.32385e12i 1.22772i
\(473\) −7.56385e11 3.13305e11i −0.694812 0.287801i
\(474\) 2.42473e11 2.42473e11i 0.220628 0.220628i
\(475\) −3.21299e11 −0.289593
\(476\) −2.13852e11 + 1.55778e9i −0.190933 + 0.00139083i
\(477\) −4.82952e9 −0.00427141
\(478\) −7.18710e11 + 7.18710e11i −0.629692 + 0.629692i
\(479\) 1.50881e12 + 6.24968e11i 1.30955 + 0.542435i 0.924754 0.380565i \(-0.124270\pi\)
0.384800 + 0.923000i \(0.374270\pi\)
\(480\) 1.22857e12i 1.05636i
\(481\) −4.70004e9 + 1.13469e10i −0.00400358 + 0.00966550i
\(482\) 8.52960e11 3.53307e11i 0.719808 0.298154i
\(483\) −1.52479e11 3.68118e11i −0.127482 0.307769i
\(484\) 9.66807e11 + 9.66807e11i 0.800821 + 0.800821i
\(485\) −2.85078e11 2.85078e11i −0.233952 0.233952i
\(486\) −2.80053e9 6.76107e9i −0.00227707 0.00549734i
\(487\) 6.43277e11 2.66454e11i 0.518224 0.214656i −0.108212 0.994128i \(-0.534513\pi\)
0.626437 + 0.779472i \(0.284513\pi\)
\(488\) −3.88497e11 + 9.37914e11i −0.310097 + 0.748641i
\(489\) 1.29906e12i 1.02740i
\(490\) −7.56698e11 3.13434e11i −0.592980 0.245620i
\(491\) −5.22311e10 + 5.22311e10i −0.0405567 + 0.0405567i −0.727094 0.686538i \(-0.759130\pi\)
0.686538 + 0.727094i \(0.259130\pi\)
\(492\) −1.19394e12 −0.918624
\(493\) −5.28576e11 + 5.36333e11i −0.402992 + 0.408906i
\(494\) −1.48420e11 −0.112129
\(495\) −8.13573e9 + 8.13573e9i −0.00609078 + 0.00609078i
\(496\) −7.84251e10 3.24847e10i −0.0581818 0.0240997i
\(497\) 7.49814e11i 0.551251i
\(498\) −6.30329e11 + 1.52175e12i −0.459235 + 1.10869i
\(499\) 4.08981e11 1.69406e11i 0.295291 0.122314i −0.230119 0.973162i \(-0.573912\pi\)
0.525411 + 0.850849i \(0.323912\pi\)
\(500\) −2.63454e11 6.36033e11i −0.188512 0.455108i
\(501\) 1.06990e12 + 1.06990e12i 0.758709 + 0.758709i
\(502\) −9.18617e11 9.18617e11i −0.645607 0.645607i
\(503\) −2.93709e11 7.09076e11i −0.204579 0.493898i 0.787974 0.615708i \(-0.211130\pi\)
−0.992553 + 0.121810i \(0.961130\pi\)
\(504\) −2.10067e9 + 8.70128e8i −0.00145018 + 0.000600683i
\(505\) −5.98462e11 + 1.44481e12i −0.409473 + 0.988555i
\(506\) 1.65812e12i 1.12444i
\(507\) −1.35645e12 5.61862e11i −0.911737 0.377654i
\(508\) −3.36255e11 + 3.36255e11i −0.224018 + 0.224018i
\(509\) −1.23640e12 −0.816452 −0.408226 0.912881i \(-0.633852\pi\)
−0.408226 + 0.912881i \(0.633852\pi\)
\(510\) 4.16709e11 1.02712e12i 0.272751 0.672289i
\(511\) −5.38506e11 −0.349379
\(512\) 2.43062e11 2.43062e11i 0.156315 0.156315i
\(513\) 1.98800e12 + 8.23457e11i 1.26733 + 0.524944i
\(514\) 3.46012e11i 0.218654i
\(515\) −6.54568e11 + 1.58027e12i −0.410036 + 0.989915i
\(516\) −3.67414e11 + 1.52188e11i −0.228156 + 0.0945053i
\(517\) −3.94845e11 9.53239e11i −0.243063 0.586806i
\(518\) 2.16578e10 + 2.16578e10i 0.0132169 + 0.0132169i
\(519\) 1.64451e12 + 1.64451e12i 0.994908 + 0.994908i
\(520\) 8.97295e10 + 2.16626e11i 0.0538171 + 0.129926i
\(521\) −6.25988e11 + 2.59293e11i −0.372217 + 0.154177i −0.560947 0.827852i \(-0.689563\pi\)
0.188730 + 0.982029i \(0.439563\pi\)
\(522\) −1.10883e9 + 2.67695e9i −0.000653654 + 0.00157806i
\(523\) 1.65170e12i 0.965324i −0.875807 0.482662i \(-0.839670\pi\)
0.875807 0.482662i \(-0.160330\pi\)
\(524\) 1.31444e12 + 5.44461e11i 0.761643 + 0.315483i
\(525\) 8.74757e10 8.74757e10i 0.0502540 0.0502540i
\(526\) 3.78985e11 0.215867
\(527\) 7.14584e11 + 7.04249e11i 0.403558 + 0.397721i
\(528\) −3.44393e11 −0.192842
\(529\) −3.21356e10 + 3.21356e10i −0.0178417 + 0.0178417i
\(530\) 1.14747e12 + 4.75296e11i 0.631682 + 0.261651i
\(531\) 9.86511e9i 0.00538489i
\(532\) 1.85608e11 4.48098e11i 0.100460 0.242533i
\(533\) 3.44851e11 1.42842e11i 0.185080 0.0766626i
\(534\) 2.27287e11 + 5.48719e11i 0.120959 + 0.292021i
\(535\) 1.27715e12 + 1.27715e12i 0.673987 + 0.673987i
\(536\) −1.07638e12 1.07638e12i −0.563281 0.563281i
\(537\) −6.48708e11 1.56612e12i −0.336639 0.812719i
\(538\) −2.29043e11 + 9.48728e10i −0.117868 + 0.0488227i
\(539\) 1.15101e12 2.77878e12i 0.587394 1.41809i
\(540\) 1.23028e12i 0.622633i
\(541\) −9.10224e10 3.77027e10i −0.0456836 0.0189228i 0.359725 0.933059i \(-0.382871\pi\)
−0.405408 + 0.914136i \(0.632871\pi\)
\(542\) 7.95143e11 7.95143e11i 0.395775 0.395775i
\(543\) 2.88929e12 1.42624
\(544\) −1.80224e12 + 7.61941e11i −0.882305 + 0.373015i
\(545\) −1.74409e12 −0.846809
\(546\) 4.04081e10 4.04081e10i 0.0194582 0.0194582i
\(547\) −1.46845e11 6.08251e10i −0.0701319 0.0290496i 0.347342 0.937739i \(-0.387084\pi\)
−0.417474 + 0.908689i \(0.637084\pi\)
\(548\) 9.01495e11i 0.427022i
\(549\) 2.89502e9 6.98919e9i 0.00136012 0.00328361i
\(550\) 4.75622e11 1.97009e11i 0.221630 0.0918023i
\(551\) −6.53555e11 1.57782e12i −0.302065 0.729248i
\(552\) −1.57368e12 1.57368e12i −0.721423 0.721423i
\(553\) −2.47722e11 2.47722e11i −0.112642 0.112642i
\(554\) 1.75876e11 + 4.24602e11i 0.0793254 + 0.191509i
\(555\) 1.92189e11 7.96073e10i 0.0859826 0.0356151i
\(556\) −3.13494e10 + 7.56842e10i −0.0139121 + 0.0335868i
\(557\) 2.80868e12i 1.23639i 0.786026 + 0.618194i \(0.212135\pi\)
−0.786026 + 0.618194i \(0.787865\pi\)
\(558\) 3.56664e9 + 1.47735e9i 0.00155742 + 0.000645105i
\(559\) 8.79145e10 8.79145e10i 0.0380809 0.0380809i
\(560\) 9.58128e10 0.0411697
\(561\) 3.77185e12 + 1.53026e12i 1.60776 + 0.652277i
\(562\) −8.78442e11 −0.371449
\(563\) 2.12265e11 2.12265e11i 0.0890412 0.0890412i −0.661183 0.750224i \(-0.729945\pi\)
0.750224 + 0.661183i \(0.229945\pi\)
\(564\) −4.63036e11 1.91796e11i −0.192690 0.0798148i
\(565\) 2.11437e12i 0.872899i
\(566\) 1.04593e12 2.52509e12i 0.428378 1.03420i
\(567\) −7.68898e11 + 3.18488e11i −0.312425 + 0.129410i
\(568\) 1.60270e12 + 3.86926e12i 0.646078 + 1.55977i
\(569\) −3.03201e12 3.03201e12i −1.21262 1.21262i −0.970161 0.242461i \(-0.922045\pi\)
−0.242461 0.970161i \(-0.577955\pi\)
\(570\) 1.77757e12 + 1.77757e12i 0.705328 + 0.705328i
\(571\) 6.42120e10 + 1.55021e11i 0.0252786 + 0.0610280i 0.936015 0.351961i \(-0.114485\pi\)
−0.910736 + 0.412989i \(0.864485\pi\)
\(572\) −2.87900e11 + 1.19252e11i −0.112450 + 0.0465782i
\(573\) 1.75706e12 4.24193e12i 0.680913 1.64387i
\(574\) 9.30860e11i 0.357916i
\(575\) 5.03614e11 + 2.08604e11i 0.192129 + 0.0795824i
\(576\) −6.26275e9 + 6.26275e9i −0.00237063 + 0.00237063i
\(577\) −7.33555e11 −0.275513 −0.137756 0.990466i \(-0.543989\pi\)
−0.137756 + 0.990466i \(0.543989\pi\)
\(578\) −1.76517e12 + 2.57177e10i −0.657827 + 0.00958423i
\(579\) −3.91165e12 −1.44646
\(580\) −6.90446e11 + 6.90446e11i −0.253340 + 0.253340i
\(581\) 1.55469e12 + 6.43975e11i 0.566047 + 0.234464i
\(582\) 5.48815e11i 0.198277i
\(583\) −1.74541e12 + 4.21378e12i −0.625731 + 1.51065i
\(584\) −2.77885e12 + 1.15104e12i −0.988570 + 0.409479i
\(585\) −6.68651e8 1.61427e9i −0.000236047 0.000569867i
\(586\) 9.26610e11 + 9.26610e11i 0.324607 + 0.324607i
\(587\) 2.62755e12 + 2.62755e12i 0.913439 + 0.913439i 0.996541 0.0831023i \(-0.0264828\pi\)
−0.0831023 + 0.996541i \(0.526483\pi\)
\(588\) −5.59103e11 1.34979e12i −0.192883 0.465661i
\(589\) −2.10221e12 + 8.70764e11i −0.719710 + 0.298114i
\(590\) −9.70873e11 + 2.34389e12i −0.329859 + 0.796350i
\(591\) 3.88384e12i 1.30954i
\(592\) 2.58979e10 + 1.07272e10i 0.00866595 + 0.00358955i
\(593\) −1.99919e11 + 1.99919e11i −0.0663910 + 0.0663910i −0.739523 0.673132i \(-0.764949\pi\)
0.673132 + 0.739523i \(0.264949\pi\)
\(594\) −3.44777e12 −1.13632
\(595\) −1.04936e12 4.25730e11i −0.343240 0.139254i
\(596\) 4.52553e11 0.146913
\(597\) 3.73551e12 3.73551e12i 1.20355 1.20355i
\(598\) 2.32637e11 + 9.63615e10i 0.0743916 + 0.0308140i
\(599\) 5.50565e12i 1.74738i 0.486482 + 0.873691i \(0.338280\pi\)
−0.486482 + 0.873691i \(0.661720\pi\)
\(600\) 2.64424e11 6.38376e11i 0.0832953 0.201093i
\(601\) 1.42529e12 5.90373e11i 0.445622 0.184583i −0.148577 0.988901i \(-0.547469\pi\)
0.594199 + 0.804318i \(0.297469\pi\)
\(602\) −1.18654e11 2.86457e11i −0.0368213 0.0888945i
\(603\) 8.02104e9 + 8.02104e9i 0.00247060 + 0.00247060i
\(604\) −1.72168e12 1.72168e12i −0.526364 0.526364i
\(605\) 2.77065e12 + 6.68894e12i 0.840780 + 2.02982i
\(606\) 1.96680e12 8.14673e11i 0.592424 0.245390i
\(607\) 1.37442e12 3.31815e12i 0.410933 0.992079i −0.573955 0.818887i \(-0.694592\pi\)
0.984888 0.173192i \(-0.0554083\pi\)
\(608\) 4.43767e12i 1.31701i
\(609\) 6.07505e11 + 2.51637e11i 0.178967 + 0.0741304i
\(610\) −1.37568e12 + 1.37568e12i −0.402284 + 0.402284i
\(611\) 1.56688e11 0.0454830
\(612\) 8.19859e9 3.46615e9i 0.00236242 0.000998771i
\(613\) 5.79969e12 1.65895 0.829474 0.558546i \(-0.188641\pi\)
0.829474 + 0.558546i \(0.188641\pi\)
\(614\) −1.31649e12 + 1.31649e12i −0.373818 + 0.373818i
\(615\) −5.84095e12 2.41940e12i −1.64644 0.681977i
\(616\) 2.14732e12i 0.600873i
\(617\) 1.96784e12 4.75079e12i 0.546647 1.31972i −0.373311 0.927706i \(-0.621778\pi\)
0.919958 0.392017i \(-0.128222\pi\)
\(618\) 2.15118e12 8.91049e11i 0.593238 0.245727i
\(619\) −6.35351e10 1.53387e11i −0.0173943 0.0419934i 0.914944 0.403581i \(-0.132235\pi\)
−0.932338 + 0.361588i \(0.882235\pi\)
\(620\) 9.19916e11 + 9.19916e11i 0.250026 + 0.250026i
\(621\) −2.58142e12 2.58142e12i −0.696541 0.696541i
\(622\) 7.04379e11 + 1.70052e12i 0.188690 + 0.455539i
\(623\) 5.60599e11 2.32208e11i 0.149093 0.0617561i
\(624\) 2.00144e10 4.83189e10i 0.00528459 0.0127581i
\(625\) 4.44895e12i 1.16627i
\(626\) 6.77347e11 + 2.80566e11i 0.176290 + 0.0730216i
\(627\) −6.52770e12 + 6.52770e12i −1.68677 + 1.68677i
\(628\) 2.37620e12 0.609627
\(629\) −2.35973e11 2.32560e11i −0.0601083 0.0592389i
\(630\) −4.35741e9 −0.00110204
\(631\) 1.51720e12 1.51720e12i 0.380986 0.380986i −0.490471 0.871457i \(-0.663175\pi\)
0.871457 + 0.490471i \(0.163175\pi\)
\(632\) −1.80782e12 7.48822e11i −0.450741 0.186703i
\(633\) 5.18382e11i 0.128331i
\(634\) 1.67513e12 4.04411e12i 0.411761 0.994080i
\(635\) −2.32641e12 + 9.63631e11i −0.567812 + 0.235195i
\(636\) 8.47831e11 + 2.04685e12i 0.205472 + 0.496053i
\(637\) 3.22978e11 + 3.22978e11i 0.0777222 + 0.0777222i
\(638\) 1.93492e12 + 1.93492e12i 0.462350 + 0.462350i
\(639\) −1.19431e10 2.88331e10i −0.00283376 0.00684129i
\(640\) −2.02860e12 + 8.40272e11i −0.477953 + 0.197975i
\(641\) −2.43313e11 + 5.87409e11i −0.0569251 + 0.137429i −0.949783 0.312909i \(-0.898697\pi\)
0.892858 + 0.450338i \(0.148697\pi\)
\(642\) 2.45870e12i 0.571213i
\(643\) −4.03076e12 1.66959e12i −0.929902 0.385178i −0.134261 0.990946i \(-0.542866\pi\)
−0.795641 + 0.605768i \(0.792866\pi\)
\(644\) −5.81856e11 + 5.81856e11i −0.133300 + 0.133300i
\(645\) −2.10585e12 −0.479081
\(646\) 1.50518e12 3.71004e12i 0.340050 0.838170i
\(647\) 5.37030e12 1.20484 0.602419 0.798180i \(-0.294204\pi\)
0.602419 + 0.798180i \(0.294204\pi\)
\(648\) −3.28699e12 + 3.28699e12i −0.732336 + 0.732336i
\(649\) −8.60737e12 3.56529e12i −1.90445 0.788848i
\(650\) 7.81798e10i 0.0171785i
\(651\) 3.35269e11 8.09410e11i 0.0731608 0.176626i
\(652\) 2.47858e12 1.02666e12i 0.537142 0.222492i
\(653\) −7.31072e11 1.76496e12i −0.157344 0.379862i 0.825474 0.564441i \(-0.190908\pi\)
−0.982818 + 0.184578i \(0.940908\pi\)
\(654\) 1.67881e12 + 1.67881e12i 0.358841 + 0.358841i
\(655\) 5.32720e12 + 5.32720e12i 1.13087 + 1.13087i
\(656\) −3.26019e11 7.87079e11i −0.0687346 0.165940i
\(657\) 2.07076e10 8.57736e9i 0.00433596 0.00179601i
\(658\) 1.49535e11 3.61009e11i 0.0310976 0.0750762i
\(659\) 4.74561e11i 0.0980184i −0.998798 0.0490092i \(-0.984394\pi\)
0.998798 0.0490092i \(-0.0156064\pi\)
\(660\) 4.87633e12 + 2.01984e12i 1.00033 + 0.414352i
\(661\) 4.66928e12 4.66928e12i 0.951356 0.951356i −0.0475145 0.998871i \(-0.515130\pi\)
0.998871 + 0.0475145i \(0.0151300\pi\)
\(662\) 4.57186e11 0.0925192
\(663\) −4.33899e11 + 4.40267e11i −0.0872123 + 0.0884922i
\(664\) 9.39915e12 1.87643
\(665\) 1.81606e12 1.81606e12i 0.360108 0.360108i
\(666\) −1.17779e9 4.87858e8i −0.000231972 9.60857e-5i
\(667\) 2.89744e12i 0.566825i
\(668\) 1.19580e12 2.88692e12i 0.232362 0.560971i
\(669\) 1.64334e12 6.80696e11i 0.317184 0.131382i
\(670\) −1.11636e12 2.69514e12i −0.214027 0.516708i
\(671\) −5.05184e12 5.05184e12i −0.962051 0.962051i
\(672\) 1.20818e12 + 1.20818e12i 0.228545 + 0.228545i
\(673\) 1.05048e12 + 2.53609e12i 0.197388 + 0.476537i 0.991320 0.131469i \(-0.0419695\pi\)
−0.793932 + 0.608006i \(0.791969\pi\)
\(674\) −5.87974e12 + 2.43547e12i −1.09746 + 0.454583i
\(675\) 4.33755e11 1.04718e12i 0.0804225 0.194157i
\(676\) 3.03214e12i 0.558455i
\(677\) −1.06996e12 4.43192e11i −0.195758 0.0810855i 0.282651 0.959223i \(-0.408786\pi\)
−0.478409 + 0.878137i \(0.658786\pi\)
\(678\) −2.03523e12 + 2.03523e12i −0.369897 + 0.369897i
\(679\) 5.60696e11 0.101231
\(680\) −6.32498e12 + 4.60735e10i −1.13441 + 0.00826345i
\(681\) −6.22527e12 −1.10917
\(682\) 2.57800e12 2.57800e12i 0.456302 0.456302i
\(683\) −5.65216e12 2.34120e12i −0.993852 0.411667i −0.174313 0.984690i \(-0.555770\pi\)
−0.819539 + 0.573023i \(0.805770\pi\)
\(684\) 2.01874e10i 0.00352637i
\(685\) 1.82680e12 4.41027e12i 0.317017 0.765346i
\(686\) 2.23927e12 9.27535e11i 0.386054 0.159909i
\(687\) 3.59247e12 + 8.67300e12i 0.615302 + 1.48547i
\(688\) −2.00654e11 2.00654e11i −0.0341428 0.0341428i
\(689\) −4.89768e11 4.89768e11i −0.0827949 0.0827949i
\(690\) −1.63213e12 3.94032e12i −0.274116 0.661775i
\(691\) 2.20254e12 9.12323e11i 0.367513 0.152229i −0.191281 0.981535i \(-0.561264\pi\)
0.558794 + 0.829306i \(0.311264\pi\)
\(692\) 1.83802e12 4.43737e12i 0.304700 0.735610i
\(693\) 1.60015e10i 0.00263549i
\(694\) −1.80645e12 7.48257e11i −0.295603 0.122443i
\(695\) −3.06734e11 + 3.06734e11i −0.0498690 + 0.0498690i
\(696\) 3.67277e12 0.593270
\(697\) 7.33453e10 + 1.00689e13i 0.0117713 + 1.61597i
\(698\) 2.83579e12 0.452194
\(699\) −6.19150e12 + 6.19150e12i −0.980954 + 0.980954i
\(700\) −2.36035e11 9.77689e10i −0.0371565 0.0153907i
\(701\) 3.30170e12i 0.516424i 0.966088 + 0.258212i \(0.0831334\pi\)
−0.966088 + 0.258212i \(0.916867\pi\)
\(702\) 2.00367e11 4.83728e11i 0.0311393 0.0751769i
\(703\) 6.94201e11 2.87548e11i 0.107198 0.0444028i
\(704\) 3.20090e12 + 7.72766e12i 0.491129 + 1.18569i
\(705\) −1.87660e12 1.87660e12i −0.286102 0.286102i
\(706\) 5.48156e11 + 5.48156e11i 0.0830391 + 0.0830391i
\(707\) −8.32310e11 2.00937e12i −0.125285 0.302464i
\(708\) −4.18103e12 + 1.73184e12i −0.625365 + 0.259035i
\(709\) −2.48788e12 + 6.00628e12i −0.369762 + 0.892684i 0.624027 + 0.781403i \(0.285495\pi\)
−0.993789 + 0.111281i \(0.964505\pi\)
\(710\) 8.02597e12i 1.18532i
\(711\) 1.34716e10 + 5.58011e9i 0.00197699 + 0.000818897i
\(712\) 2.39652e12 2.39652e12i 0.349479 0.349479i
\(713\) 3.86041e12 0.559411
\(714\) 6.00286e11 + 1.41988e12i 0.0864403 + 0.204460i
\(715\) −1.65011e12 −0.236122
\(716\) −2.47544e12 + 2.47544e12i −0.352002 + 0.352002i
\(717\) −8.86985e12 3.67401e12i −1.25337 0.519164i
\(718\) 9.15875e12i 1.28610i
\(719\) −9.07004e11 + 2.18970e12i −0.126570 + 0.305566i −0.974444 0.224631i \(-0.927882\pi\)
0.847874 + 0.530197i \(0.177882\pi\)
\(720\) −3.68436e9 + 1.52611e9i −0.000510935 + 0.000211636i
\(721\) −9.10340e11 2.19775e12i −0.125457 0.302880i
\(722\) 3.02400e12 + 3.02400e12i 0.414157 + 0.414157i
\(723\) 6.16638e12 + 6.16638e12i 0.839283 + 0.839283i
\(724\) −2.28344e12 5.51270e12i −0.308863 0.745660i
\(725\) −8.31115e11 + 3.44259e11i −0.111722 + 0.0462769i
\(726\) 3.77163e12 9.10551e12i 0.503865 1.21644i
\(727\) 6.84668e12i 0.909023i −0.890741 0.454512i \(-0.849814\pi\)
0.890741 0.454512i \(-0.150186\pi\)
\(728\) −3.01273e11 1.24791e11i −0.0397529 0.0164662i
\(729\) −5.36751e12 + 5.36751e12i −0.703880 + 0.703880i
\(730\) −5.76414e12 −0.751246
\(731\) 1.30602e12 + 3.08917e12i 0.169169 + 0.400142i
\(732\) −3.47039e12 −0.446764
\(733\) 8.62793e12 8.62793e12i 1.10392 1.10392i 0.109991 0.993933i \(-0.464918\pi\)
0.993933 0.109991i \(-0.0350821\pi\)
\(734\) −7.70230e12 3.19040e12i −0.979463 0.405707i
\(735\) 7.73641e12i 0.977792i
\(736\) −2.88116e12 + 6.95574e12i −0.361924 + 0.873762i
\(737\) 9.89724e12 4.09957e12i 1.23569 0.511841i
\(738\) 1.48268e10 + 3.57951e10i 0.00183990 + 0.00444191i
\(739\) −4.53771e12 4.53771e12i −0.559676 0.559676i 0.369539 0.929215i \(-0.379516\pi\)
−0.929215 + 0.369539i \(0.879516\pi\)
\(740\) −3.03779e11 3.03779e11i −0.0372404 0.0372404i
\(741\) −5.36492e11 1.29521e12i −0.0653704 0.157818i
\(742\) −1.59584e12 + 6.61018e11i −0.193273 + 0.0800563i
\(743\) 7.16314e10 1.72933e11i 0.00862291 0.0208175i −0.919509 0.393068i \(-0.871414\pi\)
0.928132 + 0.372250i \(0.121414\pi\)
\(744\) 4.89342e12i 0.585510i
\(745\) 2.21397e12 + 9.17056e11i 0.263311 + 0.109067i
\(746\) −2.11387e11 + 2.11387e11i −0.0249893 + 0.0249893i
\(747\) −7.00411e10 −0.00823019
\(748\) −6.12324e10 8.40600e12i −0.00715195 0.981821i
\(749\) −2.51193e12 −0.291635
\(750\) −3.50900e12 + 3.50900e12i −0.404956 + 0.404956i
\(751\) 1.36617e13 + 5.65886e12i 1.56720 + 0.649156i 0.986321 0.164834i \(-0.0527087\pi\)
0.580880 + 0.813989i \(0.302709\pi\)
\(752\) 3.57620e11i 0.0407795i
\(753\) 4.69593e12 1.13370e13i 0.532285 1.28505i
\(754\) −3.83921e11 + 1.59025e11i −0.0432585 + 0.0179183i
\(755\) −4.93394e12 1.19116e13i −0.552628 1.33416i
\(756\) 1.20987e12 + 1.20987e12i 0.134707 + 0.134707i
\(757\) 1.00156e13 + 1.00156e13i 1.10853 + 1.10853i 0.993344 + 0.115185i \(0.0367461\pi\)
0.115185 + 0.993344i \(0.463254\pi\)
\(758\) 1.26675e11 + 3.05820e11i 0.0139373 + 0.0336477i
\(759\) 1.44698e13 5.99360e12i 1.58261 0.655541i