Properties

Label 17.10.d.a.9.7
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 9.7
Character \(\chi\) \(=\) 17.9
Dual form 17.10.d.a.2.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.23497 + 2.23497i) q^{2} +(-45.0140 - 18.6454i) q^{3} +502.010i q^{4} +(265.226 - 640.313i) q^{5} +(142.277 - 58.9331i) q^{6} +(-537.194 - 1296.90i) q^{7} +(-2266.28 - 2266.28i) q^{8} +(-12239.4 - 12239.4i) q^{9} +O(q^{10})\) \(q+(-2.23497 + 2.23497i) q^{2} +(-45.0140 - 18.6454i) q^{3} +502.010i q^{4} +(265.226 - 640.313i) q^{5} +(142.277 - 58.9331i) q^{6} +(-537.194 - 1296.90i) q^{7} +(-2266.28 - 2266.28i) q^{8} +(-12239.4 - 12239.4i) q^{9} +(838.309 + 2023.86i) q^{10} +(-65465.7 + 27116.8i) q^{11} +(9360.18 - 22597.5i) q^{12} -180297. i q^{13} +(4099.16 + 1697.93i) q^{14} +(-23877.8 + 23877.8i) q^{15} -246899. q^{16} +(41203.0 - 341892. i) q^{17} +54709.3 q^{18} +(-599782. + 599782. i) q^{19} +(321443. + 133146. i) q^{20} +68395.0i q^{21} +(85708.8 - 206919. i) q^{22} +(1.45714e6 - 603568. i) q^{23} +(59758.8 + 144270. i) q^{24} +(1.04141e6 + 1.04141e6i) q^{25} +(402958. + 402958. i) q^{26} +(689733. + 1.66516e6i) q^{27} +(651058. - 269677. i) q^{28} +(-1.18611e6 + 2.86351e6i) q^{29} -106733. i q^{30} +(-3.10406e6 - 1.28574e6i) q^{31} +(1.71215e6 - 1.71215e6i) q^{32} +3.45248e6 q^{33} +(672032. + 856207. i) q^{34} -972902. q^{35} +(6.14428e6 - 6.14428e6i) q^{36} +(-1.75560e7 - 7.27194e6i) q^{37} -2.68099e6i q^{38} +(-3.36171e6 + 8.11588e6i) q^{39} +(-2.05221e6 + 850053. i) q^{40} +(3.30907e6 + 7.98880e6i) q^{41} +(-152861. - 152861. i) q^{42} +(-7.27178e6 - 7.27178e6i) q^{43} +(-1.36129e7 - 3.28644e7i) q^{44} +(-1.10832e7 + 4.59083e6i) q^{45} +(-1.90771e6 + 4.60563e6i) q^{46} +5.71205e6i q^{47} +(1.11139e7 + 4.60353e6i) q^{48} +(2.71409e7 - 2.71409e7i) q^{49} -4.65506e6 q^{50} +(-8.22943e6 + 1.46217e7i) q^{51} +9.05107e7 q^{52} +(-5.32243e7 + 5.32243e7i) q^{53} +(-5.26313e6 - 2.18006e6i) q^{54} +4.91106e7i q^{55} +(-1.72171e6 + 4.15659e6i) q^{56} +(3.81818e7 - 1.58154e7i) q^{57} +(-3.74896e6 - 9.05079e6i) q^{58} +(1.00197e8 + 1.00197e8i) q^{59} +(-1.19869e7 - 1.19869e7i) q^{60} +(40367.5 + 97455.8i) q^{61} +(9.81110e6 - 4.06389e6i) q^{62} +(-9.29835e6 + 2.24482e7i) q^{63} -1.18759e8i q^{64} +(-1.15446e8 - 4.78194e7i) q^{65} +(-7.71619e6 + 7.71619e6i) q^{66} -1.57737e6 q^{67} +(1.71633e8 + 2.06843e7i) q^{68} -7.68456e7 q^{69} +(2.17441e6 - 2.17441e6i) q^{70} +(-3.00906e8 - 1.24640e8i) q^{71} +5.54758e7i q^{72} +(-7.03882e6 + 1.69932e7i) q^{73} +(5.54898e7 - 2.29846e7i) q^{74} +(-2.74606e7 - 6.62957e7i) q^{75} +(-3.01096e8 - 3.01096e8i) q^{76} +(7.03356e7 + 7.03356e7i) q^{77} +(-1.06254e7 - 2.56521e7i) q^{78} +(1.35926e8 - 5.63024e7i) q^{79} +(-6.54841e7 + 1.58093e8i) q^{80} +2.52879e8i q^{81} +(-2.52504e7 - 1.04591e7i) q^{82} +(2.62257e8 - 2.62257e8i) q^{83} -3.43350e7 q^{84} +(-2.07990e8 - 1.17062e8i) q^{85} +3.25045e7 q^{86} +(1.06783e8 - 1.06783e8i) q^{87} +(2.09818e8 + 8.69095e7i) q^{88} +3.54830e8i q^{89} +(1.45104e7 - 3.50311e7i) q^{90} +(-2.33827e8 + 9.68544e7i) q^{91} +(3.02997e8 + 7.31499e8i) q^{92} +(1.15753e8 + 1.15753e8i) q^{93} +(-1.27663e7 - 1.27663e7i) q^{94} +(2.24970e8 + 5.43126e8i) q^{95} +(-1.08995e8 + 4.51470e7i) q^{96} +(5.89006e8 - 1.42199e9i) q^{97} +1.21319e8i q^{98} +(1.13315e9 + 4.69366e8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.23497 + 2.23497i −0.0987728 + 0.0987728i −0.754766 0.655994i \(-0.772250\pi\)
0.655994 + 0.754766i \(0.272250\pi\)
\(3\) −45.0140 18.6454i −0.320850 0.132900i 0.216445 0.976295i \(-0.430554\pi\)
−0.537295 + 0.843394i \(0.680554\pi\)
\(4\) 502.010i 0.980488i
\(5\) 265.226 640.313i 0.189781 0.458171i −0.800137 0.599818i \(-0.795240\pi\)
0.989917 + 0.141647i \(0.0452398\pi\)
\(6\) 142.277 58.9331i 0.0448182 0.0185643i
\(7\) −537.194 1296.90i −0.0845649 0.204158i 0.875940 0.482419i \(-0.160242\pi\)
−0.960505 + 0.278261i \(0.910242\pi\)
\(8\) −2266.28 2266.28i −0.195618 0.195618i
\(9\) −12239.4 12239.4i −0.621825 0.621825i
\(10\) 838.309 + 2023.86i 0.0265097 + 0.0640000i
\(11\) −65465.7 + 27116.8i −1.34818 + 0.558433i −0.935784 0.352574i \(-0.885306\pi\)
−0.412392 + 0.911007i \(0.635306\pi\)
\(12\) 9360.18 22597.5i 0.130307 0.314590i
\(13\) 180297.i 1.75082i −0.483378 0.875412i \(-0.660590\pi\)
0.483378 0.875412i \(-0.339410\pi\)
\(14\) 4099.16 + 1697.93i 0.0285180 + 0.0118125i
\(15\) −23877.8 + 23877.8i −0.121782 + 0.121782i
\(16\) −246899. −0.941844
\(17\) 41203.0 341892.i 0.119649 0.992816i
\(18\) 54709.3 0.122839
\(19\) −599782. + 599782.i −1.05585 + 1.05585i −0.0575042 + 0.998345i \(0.518314\pi\)
−0.998345 + 0.0575042i \(0.981686\pi\)
\(20\) 321443. + 133146.i 0.449231 + 0.186078i
\(21\) 68395.0i 0.0767428i
\(22\) 85708.8 206919.i 0.0780051 0.188321i
\(23\) 1.45714e6 603568.i 1.08574 0.449729i 0.233222 0.972424i \(-0.425073\pi\)
0.852520 + 0.522695i \(0.175073\pi\)
\(24\) 59758.8 + 144270.i 0.0367664 + 0.0887619i
\(25\) 1.04141e6 + 1.04141e6i 0.533203 + 0.533203i
\(26\) 402958. + 402958.i 0.172934 + 0.172934i
\(27\) 689733. + 1.66516e6i 0.249772 + 0.603003i
\(28\) 651058. 269677.i 0.200174 0.0829149i
\(29\) −1.18611e6 + 2.86351e6i −0.311410 + 0.751810i 0.688244 + 0.725480i \(0.258382\pi\)
−0.999653 + 0.0263300i \(0.991618\pi\)
\(30\) 106733.i 0.0240575i
\(31\) −3.10406e6 1.28574e6i −0.603674 0.250050i 0.0598469 0.998208i \(-0.480939\pi\)
−0.663521 + 0.748158i \(0.730939\pi\)
\(32\) 1.71215e6 1.71215e6i 0.288647 0.288647i
\(33\) 3.45248e6 0.506778
\(34\) 672032. + 856207.i 0.0862452 + 0.109881i
\(35\) −972902. −0.109588
\(36\) 6.14428e6 6.14428e6i 0.609691 0.609691i
\(37\) −1.75560e7 7.27194e6i −1.53999 0.637885i −0.558519 0.829492i \(-0.688630\pi\)
−0.981472 + 0.191607i \(0.938630\pi\)
\(38\) 2.68099e6i 0.208578i
\(39\) −3.36171e6 + 8.11588e6i −0.232685 + 0.561752i
\(40\) −2.05221e6 + 850053.i −0.126751 + 0.0525020i
\(41\) 3.30907e6 + 7.98880e6i 0.182885 + 0.441524i 0.988559 0.150836i \(-0.0481964\pi\)
−0.805674 + 0.592360i \(0.798196\pi\)
\(42\) −152861. 152861.i −0.00758010 0.00758010i
\(43\) −7.27178e6 7.27178e6i −0.324364 0.324364i 0.526074 0.850439i \(-0.323663\pi\)
−0.850439 + 0.526074i \(0.823663\pi\)
\(44\) −1.36129e7 3.28644e7i −0.547536 1.32187i
\(45\) −1.10832e7 + 4.59083e6i −0.402912 + 0.166892i
\(46\) −1.90771e6 + 4.60563e6i −0.0628208 + 0.151663i
\(47\) 5.71205e6i 0.170746i 0.996349 + 0.0853732i \(0.0272082\pi\)
−0.996349 + 0.0853732i \(0.972792\pi\)
\(48\) 1.11139e7 + 4.60353e6i 0.302191 + 0.125172i
\(49\) 2.71409e7 2.71409e7i 0.672578 0.672578i
\(50\) −4.65506e6 −0.105332
\(51\) −8.22943e6 + 1.46217e7i −0.170335 + 0.302644i
\(52\) 9.05107e7 1.71666
\(53\) −5.32243e7 + 5.32243e7i −0.926549 + 0.926549i −0.997481 0.0709323i \(-0.977403\pi\)
0.0709323 + 0.997481i \(0.477403\pi\)
\(54\) −5.26313e6 2.18006e6i −0.0842310 0.0348896i
\(55\) 4.91106e7i 0.723674i
\(56\) −1.72171e6 + 4.15659e6i −0.0233946 + 0.0564795i
\(57\) 3.81818e7 1.58154e7i 0.479092 0.198447i
\(58\) −3.74896e6 9.05079e6i −0.0434995 0.105017i
\(59\) 1.00197e8 + 1.00197e8i 1.07652 + 1.07652i 0.996819 + 0.0796988i \(0.0253958\pi\)
0.0796988 + 0.996819i \(0.474604\pi\)
\(60\) −1.19869e7 1.19869e7i −0.119406 0.119406i
\(61\) 40367.5 + 97455.8i 0.000373291 + 0.000901205i 0.924066 0.382233i \(-0.124845\pi\)
−0.923693 + 0.383134i \(0.874845\pi\)
\(62\) 9.81110e6 4.06389e6i 0.0843247 0.0349284i
\(63\) −9.29835e6 + 2.24482e7i −0.0743658 + 0.179535i
\(64\) 1.18759e8i 0.884823i
\(65\) −1.15446e8 4.78194e7i −0.802176 0.332272i
\(66\) −7.71619e6 + 7.71619e6i −0.0500559 + 0.0500559i
\(67\) −1.57737e6 −0.00956308 −0.00478154 0.999989i \(-0.501522\pi\)
−0.00478154 + 0.999989i \(0.501522\pi\)
\(68\) 1.71633e8 + 2.06843e7i 0.973444 + 0.117314i
\(69\) −7.68456e7 −0.408130
\(70\) 2.17441e6 2.17441e6i 0.0108243 0.0108243i
\(71\) −3.00906e8 1.24640e8i −1.40530 0.582094i −0.454178 0.890911i \(-0.650067\pi\)
−0.951122 + 0.308817i \(0.900067\pi\)
\(72\) 5.54758e7i 0.243281i
\(73\) −7.03882e6 + 1.69932e7i −0.0290100 + 0.0700362i −0.937721 0.347390i \(-0.887068\pi\)
0.908711 + 0.417427i \(0.137068\pi\)
\(74\) 5.54898e7 2.29846e7i 0.215115 0.0891035i
\(75\) −2.74606e7 6.62957e7i −0.100215 0.241941i
\(76\) −3.01096e8 3.01096e8i −1.03525 1.03525i
\(77\) 7.03356e7 + 7.03356e7i 0.228017 + 0.228017i
\(78\) −1.06254e7 2.56521e7i −0.0325028 0.0784688i
\(79\) 1.35926e8 5.63024e7i 0.392627 0.162632i −0.177631 0.984097i \(-0.556843\pi\)
0.570258 + 0.821466i \(0.306843\pi\)
\(80\) −6.54841e7 + 1.58093e8i −0.178744 + 0.431526i
\(81\) 2.52879e8i 0.652724i
\(82\) −2.52504e7 1.04591e7i −0.0616747 0.0255465i
\(83\) 2.62257e8 2.62257e8i 0.606563 0.606563i −0.335483 0.942046i \(-0.608900\pi\)
0.942046 + 0.335483i \(0.108900\pi\)
\(84\) −3.43350e7 −0.0752454
\(85\) −2.07990e8 1.17062e8i −0.432172 0.243237i
\(86\) 3.25045e7 0.0640767
\(87\) 1.06783e8 1.06783e8i 0.199832 0.199832i
\(88\) 2.09818e8 + 8.69095e7i 0.372968 + 0.154488i
\(89\) 3.54830e8i 0.599467i 0.954023 + 0.299733i \(0.0968977\pi\)
−0.954023 + 0.299733i \(0.903102\pi\)
\(90\) 1.45104e7 3.50311e7i 0.0233124 0.0562811i
\(91\) −2.33827e8 + 9.68544e7i −0.357444 + 0.148058i
\(92\) 3.02997e8 + 7.31499e8i 0.440954 + 1.06456i
\(93\) 1.15753e8 + 1.15753e8i 0.160457 + 0.160457i
\(94\) −1.27663e7 1.27663e7i −0.0168651 0.0168651i
\(95\) 2.24970e8 + 5.43126e8i 0.283380 + 0.684139i
\(96\) −1.08995e8 + 4.51470e7i −0.130974 + 0.0542511i
\(97\) 5.89006e8 1.42199e9i 0.675534 1.63088i −0.0965249 0.995331i \(-0.530773\pi\)
0.772058 0.635552i \(-0.219227\pi\)
\(98\) 1.21319e8i 0.132865i
\(99\) 1.13315e9 + 4.69366e8i 1.18558 + 0.491082i
\(100\) −5.22799e8 + 5.22799e8i −0.522799 + 0.522799i
\(101\) 469843. 0.000449269 0.000224635 1.00000i \(-0.499928\pi\)
0.000224635 1.00000i \(0.499928\pi\)
\(102\) −1.42865e7 5.10717e7i −0.0130685 0.0467175i
\(103\) 4.96841e7 0.0434961 0.0217480 0.999763i \(-0.493077\pi\)
0.0217480 + 0.999763i \(0.493077\pi\)
\(104\) −4.08603e8 + 4.08603e8i −0.342493 + 0.342493i
\(105\) 4.37942e7 + 1.81402e7i 0.0351613 + 0.0145643i
\(106\) 2.37910e8i 0.183036i
\(107\) 4.10580e8 9.91228e8i 0.302811 0.731049i −0.697091 0.716983i \(-0.745522\pi\)
0.999901 0.0140661i \(-0.00447754\pi\)
\(108\) −8.35928e8 + 3.46253e8i −0.591237 + 0.244899i
\(109\) −8.36519e8 2.01954e9i −0.567619 1.37035i −0.903557 0.428469i \(-0.859053\pi\)
0.335938 0.941884i \(-0.390947\pi\)
\(110\) −1.09761e8 1.09761e8i −0.0714793 0.0714793i
\(111\) 6.54678e8 + 6.54678e8i 0.409331 + 0.409331i
\(112\) 1.32633e8 + 3.20204e8i 0.0796470 + 0.192285i
\(113\) −9.18343e8 + 3.80390e8i −0.529849 + 0.219471i −0.631537 0.775346i \(-0.717576\pi\)
0.101688 + 0.994816i \(0.467576\pi\)
\(114\) −4.99882e7 + 1.20682e8i −0.0277202 + 0.0669224i
\(115\) 1.09311e9i 0.582805i
\(116\) −1.43751e9 5.95436e8i −0.737140 0.305334i
\(117\) −2.20672e9 + 2.20672e9i −1.08871 + 1.08871i
\(118\) −4.47876e8 −0.212661
\(119\) −4.65535e8 + 1.30226e8i −0.212809 + 0.0595302i
\(120\) 1.08228e8 0.0476457
\(121\) 1.88311e9 1.88311e9i 0.798624 0.798624i
\(122\) −308032. 127591.i −0.000125886 5.21435e-5i
\(123\) 4.21307e8i 0.165969i
\(124\) 6.45456e8 1.55827e9i 0.245171 0.591895i
\(125\) 2.19365e9 9.08640e8i 0.803660 0.332887i
\(126\) −2.93896e7 7.09527e7i −0.0103878 0.0250785i
\(127\) −1.78499e9 1.78499e9i −0.608863 0.608863i 0.333786 0.942649i \(-0.391674\pi\)
−0.942649 + 0.333786i \(0.891674\pi\)
\(128\) 1.14204e9 + 1.14204e9i 0.376043 + 0.376043i
\(129\) 1.91747e8 + 4.62918e8i 0.0609641 + 0.147180i
\(130\) 3.64894e8 1.51144e8i 0.112053 0.0464137i
\(131\) −1.08139e9 + 2.61071e9i −0.320820 + 0.774529i 0.678386 + 0.734705i \(0.262680\pi\)
−0.999207 + 0.0398236i \(0.987320\pi\)
\(132\) 1.73318e9i 0.496890i
\(133\) 1.10006e9 + 4.55659e8i 0.304848 + 0.126272i
\(134\) 3.52539e6 3.52539e6i 0.000944573 0.000944573i
\(135\) 1.24916e9 0.323680
\(136\) −8.68202e8 + 6.81447e8i −0.217619 + 0.170808i
\(137\) −8.41682e8 −0.204129 −0.102065 0.994778i \(-0.532545\pi\)
−0.102065 + 0.994778i \(0.532545\pi\)
\(138\) 1.71748e8 1.71748e8i 0.0403121 0.0403121i
\(139\) −1.78303e9 7.38555e8i −0.405128 0.167809i 0.170808 0.985304i \(-0.445362\pi\)
−0.575936 + 0.817495i \(0.695362\pi\)
\(140\) 4.88406e8i 0.107450i
\(141\) 1.06504e8 2.57122e8i 0.0226923 0.0547840i
\(142\) 9.51084e8 3.93952e8i 0.196300 0.0813103i
\(143\) 4.88906e9 + 1.18032e10i 0.977717 + 2.36042i
\(144\) 3.02189e9 + 3.02189e9i 0.585662 + 0.585662i
\(145\) 1.51896e9 + 1.51896e9i 0.285358 + 0.285358i
\(146\) −2.22478e7 5.37110e7i −0.00405228 0.00978307i
\(147\) −1.72778e9 + 7.15669e8i −0.305182 + 0.126411i
\(148\) 3.65058e9 8.81329e9i 0.625439 1.50994i
\(149\) 8.74761e9i 1.45396i −0.686661 0.726978i \(-0.740924\pi\)
0.686661 0.726978i \(-0.259076\pi\)
\(150\) 2.09543e8 + 8.67955e7i 0.0337958 + 0.0139987i
\(151\) 3.99913e8 3.99913e8i 0.0625993 0.0625993i −0.675114 0.737713i \(-0.735906\pi\)
0.737713 + 0.675114i \(0.235906\pi\)
\(152\) 2.71855e9 0.413087
\(153\) −4.68884e9 + 3.68025e9i −0.691758 + 0.542957i
\(154\) −3.14396e8 −0.0450437
\(155\) −1.64656e9 + 1.64656e9i −0.229131 + 0.229131i
\(156\) −4.07425e9 1.68761e9i −0.550791 0.228145i
\(157\) 5.95073e9i 0.781667i 0.920461 + 0.390834i \(0.127813\pi\)
−0.920461 + 0.390834i \(0.872187\pi\)
\(158\) −1.77957e8 + 4.29625e8i −0.0227173 + 0.0548445i
\(159\) 3.38823e9 1.40345e9i 0.420422 0.174145i
\(160\) −6.42205e8 1.55042e9i −0.0774700 0.187029i
\(161\) −1.56554e9 1.56554e9i −0.183631 0.183631i
\(162\) −5.65177e8 5.65177e8i −0.0644714 0.0644714i
\(163\) −2.34680e9 5.66567e9i −0.260394 0.628647i 0.738569 0.674178i \(-0.235502\pi\)
−0.998963 + 0.0455310i \(0.985502\pi\)
\(164\) −4.01046e9 + 1.66119e9i −0.432909 + 0.179317i
\(165\) 9.15688e8 2.21067e9i 0.0961767 0.232191i
\(166\) 1.17227e9i 0.119824i
\(167\) −9.73503e9 4.03238e9i −0.968530 0.401178i −0.158365 0.987381i \(-0.550622\pi\)
−0.810165 + 0.586202i \(0.800622\pi\)
\(168\) 1.55003e8 1.55003e8i 0.0150123 0.0150123i
\(169\) −2.19024e10 −2.06538
\(170\) 7.26481e8 2.03222e8i 0.0667121 0.0186617i
\(171\) 1.46819e10 1.31311
\(172\) 3.65051e9 3.65051e9i 0.318035 0.318035i
\(173\) −1.18172e10 4.89485e9i −1.00302 0.415462i −0.180113 0.983646i \(-0.557646\pi\)
−0.822902 + 0.568183i \(0.807646\pi\)
\(174\) 4.77313e8i 0.0394759i
\(175\) 7.91169e8 1.91005e9i 0.0637673 0.153948i
\(176\) 1.61634e10 6.69510e9i 1.26977 0.525957i
\(177\) −2.64206e9 6.37849e9i −0.202331 0.488471i
\(178\) −7.93035e8 7.93035e8i −0.0592110 0.0592110i
\(179\) 1.74645e10 + 1.74645e10i 1.27150 + 1.27150i 0.945299 + 0.326206i \(0.105770\pi\)
0.326206 + 0.945299i \(0.394230\pi\)
\(180\) −2.30464e9 5.56389e9i −0.163635 0.395050i
\(181\) 8.31500e8 3.44419e8i 0.0575849 0.0238525i −0.353705 0.935357i \(-0.615078\pi\)
0.411290 + 0.911505i \(0.365078\pi\)
\(182\) 3.06130e8 7.39064e8i 0.0206817 0.0499299i
\(183\) 5.13955e6i 0.000338762i
\(184\) −4.67015e9 1.93444e9i −0.300366 0.124416i
\(185\) −9.31264e9 + 9.31264e9i −0.584521 + 0.584521i
\(186\) −5.17410e8 −0.0316976
\(187\) 6.57363e9 + 2.34995e10i 0.393113 + 1.40531i
\(188\) −2.86750e9 −0.167415
\(189\) 1.78903e9 1.78903e9i 0.101986 0.101986i
\(190\) −1.71667e9 7.11070e8i −0.0955645 0.0395841i
\(191\) 6.14045e9i 0.333849i 0.985970 + 0.166924i \(0.0533836\pi\)
−0.985970 + 0.166924i \(0.946616\pi\)
\(192\) −2.21431e9 + 5.34582e9i −0.117593 + 0.283896i
\(193\) 8.82646e9 3.65604e9i 0.457909 0.189672i −0.141792 0.989896i \(-0.545286\pi\)
0.599700 + 0.800225i \(0.295286\pi\)
\(194\) 1.86169e9 + 4.49451e9i 0.0943625 + 0.227811i
\(195\) 4.30509e9 + 4.30509e9i 0.213219 + 0.213219i
\(196\) 1.36250e10 + 1.36250e10i 0.659454 + 0.659454i
\(197\) 4.00552e9 + 9.67018e9i 0.189479 + 0.457443i 0.989860 0.142050i \(-0.0453692\pi\)
−0.800381 + 0.599492i \(0.795369\pi\)
\(198\) −3.58158e9 + 1.48354e9i −0.165608 + 0.0685971i
\(199\) 1.35192e10 3.26383e10i 0.611102 1.47533i −0.250690 0.968068i \(-0.580657\pi\)
0.861791 0.507263i \(-0.169343\pi\)
\(200\) 4.72027e9i 0.208609i
\(201\) 7.10039e7 + 2.94108e7i 0.00306832 + 0.00127094i
\(202\) −1.05009e6 + 1.05009e6i −4.43756e−5 + 4.43756e-5i
\(203\) 4.35086e9 0.179822
\(204\) −7.34023e9 4.13126e9i −0.296739 0.167012i
\(205\) 5.99299e9 0.237001
\(206\) −1.11043e8 + 1.11043e8i −0.00429623 + 0.00429623i
\(207\) −2.52218e10 1.04472e10i −0.954793 0.395488i
\(208\) 4.45150e10i 1.64900i
\(209\) 2.30010e10 5.55292e10i 0.833850 2.01309i
\(210\) −1.38422e8 + 5.73361e7i −0.00491154 + 0.00203442i
\(211\) 1.72377e10 + 4.16154e10i 0.598697 + 1.44538i 0.874909 + 0.484287i \(0.160921\pi\)
−0.276212 + 0.961097i \(0.589079\pi\)
\(212\) −2.67191e10 2.67191e10i −0.908470 0.908470i
\(213\) 1.12211e10 + 1.12211e10i 0.373530 + 0.373530i
\(214\) 1.29773e9 + 3.13300e9i 0.0422983 + 0.102117i
\(215\) −6.58488e9 + 2.72755e9i −0.210172 + 0.0870561i
\(216\) 2.21060e9 5.33686e9i 0.0690985 0.166819i
\(217\) 4.71636e9i 0.144390i
\(218\) 6.38321e9 + 2.64401e9i 0.191419 + 0.0792883i
\(219\) 6.33691e8 6.33691e8i 0.0186157 0.0186157i
\(220\) −2.46540e10 −0.709554
\(221\) −6.16420e10 7.42876e9i −1.73825 0.209484i
\(222\) −2.92638e9 −0.0808615
\(223\) −5.57623e9 + 5.57623e9i −0.150997 + 0.150997i −0.778563 0.627566i \(-0.784051\pi\)
0.627566 + 0.778563i \(0.284051\pi\)
\(224\) −3.14025e9 1.30073e9i −0.0833389 0.0345201i
\(225\) 2.54925e10i 0.663117i
\(226\) 1.20231e9 2.90263e9i 0.0306569 0.0740124i
\(227\) 3.82733e10 1.58533e10i 0.956709 0.396282i 0.150960 0.988540i \(-0.451763\pi\)
0.805748 + 0.592258i \(0.201763\pi\)
\(228\) 7.93949e9 + 1.91676e10i 0.194574 + 0.469744i
\(229\) −4.03041e10 4.03041e10i −0.968477 0.968477i 0.0310412 0.999518i \(-0.490118\pi\)
−0.999518 + 0.0310412i \(0.990118\pi\)
\(230\) 2.44307e9 + 2.44307e9i 0.0575653 + 0.0575653i
\(231\) −1.85465e9 4.47752e9i −0.0428557 0.103463i
\(232\) 9.17758e9 3.80148e9i 0.207985 0.0861503i
\(233\) 1.25998e10 3.04185e10i 0.280066 0.676140i −0.719770 0.694212i \(-0.755753\pi\)
0.999837 + 0.0180724i \(0.00575292\pi\)
\(234\) 9.86391e9i 0.215069i
\(235\) 3.65750e9 + 1.51499e9i 0.0782310 + 0.0324043i
\(236\) −5.02999e10 + 5.02999e10i −1.05551 + 1.05551i
\(237\) −7.16836e9 −0.147588
\(238\) 7.49405e8 1.33151e9i 0.0151398 0.0268997i
\(239\) 2.59786e10 0.515022 0.257511 0.966275i \(-0.417098\pi\)
0.257511 + 0.966275i \(0.417098\pi\)
\(240\) 5.89540e9 5.89540e9i 0.114700 0.114700i
\(241\) −3.79228e10 1.57081e10i −0.724142 0.299950i −0.00999988 0.999950i \(-0.503183\pi\)
−0.714142 + 0.700000i \(0.753183\pi\)
\(242\) 8.41741e9i 0.157765i
\(243\) 1.82910e10 4.41585e10i 0.336520 0.812430i
\(244\) −4.89238e7 + 2.02649e7i −0.000883621 + 0.000366008i
\(245\) −1.01802e10 2.45772e10i −0.180513 0.435798i
\(246\) 9.41610e8 + 9.41610e8i 0.0163932 + 0.0163932i
\(247\) 1.08139e11 + 1.08139e11i 1.84861 + 1.84861i
\(248\) 4.12082e9 + 9.94855e9i 0.0691754 + 0.167004i
\(249\) −1.66951e10 + 6.91535e9i −0.275228 + 0.114003i
\(250\) −2.87197e9 + 6.93354e9i −0.0464996 + 0.112260i
\(251\) 1.09883e10i 0.174742i 0.996176 + 0.0873709i \(0.0278465\pi\)
−0.996176 + 0.0873709i \(0.972153\pi\)
\(252\) −1.12692e10 4.66786e9i −0.176032 0.0729148i
\(253\) −7.90259e10 + 7.90259e10i −1.21263 + 1.21263i
\(254\) 7.97881e9 0.120278
\(255\) 7.17980e9 + 9.14747e9i 0.106336 + 0.135478i
\(256\) 5.56997e10 0.810538
\(257\) 4.55060e10 4.55060e10i 0.650683 0.650683i −0.302475 0.953157i \(-0.597813\pi\)
0.953157 + 0.302475i \(0.0978128\pi\)
\(258\) −1.46316e9 6.06060e8i −0.0205590 0.00851582i
\(259\) 2.66749e10i 0.368344i
\(260\) 2.40058e10 5.79552e10i 0.325789 0.786524i
\(261\) 4.95648e10 2.05304e10i 0.661136 0.273851i
\(262\) −3.41798e9 8.25175e9i −0.0448141 0.108191i
\(263\) 4.04674e10 + 4.04674e10i 0.521560 + 0.521560i 0.918042 0.396483i \(-0.129769\pi\)
−0.396483 + 0.918042i \(0.629769\pi\)
\(264\) −7.82429e9 7.82429e9i −0.0991351 0.0991351i
\(265\) 1.99637e10 + 4.81967e10i 0.248677 + 0.600359i
\(266\) −3.47698e9 + 1.44021e9i −0.0425829 + 0.0176384i
\(267\) 6.61595e9 1.59723e10i 0.0796694 0.192339i
\(268\) 7.91857e8i 0.00937649i
\(269\) 1.46592e10 + 6.07204e9i 0.170697 + 0.0707049i 0.466395 0.884576i \(-0.345552\pi\)
−0.295699 + 0.955281i \(0.595552\pi\)
\(270\) −2.79184e9 + 2.79184e9i −0.0319708 + 0.0319708i
\(271\) −5.18158e10 −0.583580 −0.291790 0.956482i \(-0.594251\pi\)
−0.291790 + 0.956482i \(0.594251\pi\)
\(272\) −1.01730e10 + 8.44128e10i −0.112691 + 0.935078i
\(273\) 1.23314e10 0.134363
\(274\) 1.88114e9 1.88114e9i 0.0201624 0.0201624i
\(275\) −9.64165e10 3.99370e10i −1.01661 0.421093i
\(276\) 3.85772e10i 0.400166i
\(277\) 1.02121e10 2.46542e10i 0.104221 0.251612i −0.863163 0.504925i \(-0.831520\pi\)
0.967384 + 0.253313i \(0.0815202\pi\)
\(278\) 5.63568e9 2.33437e9i 0.0565906 0.0234406i
\(279\) 2.22551e10 + 5.37285e10i 0.219892 + 0.530867i
\(280\) 2.20487e9 + 2.20487e9i 0.0214374 + 0.0214374i
\(281\) 1.44281e10 + 1.44281e10i 0.138048 + 0.138048i 0.772754 0.634706i \(-0.218879\pi\)
−0.634706 + 0.772754i \(0.718879\pi\)
\(282\) 3.36629e8 + 8.12694e8i 0.00316979 + 0.00765255i
\(283\) −7.25061e10 + 3.00330e10i −0.671948 + 0.278330i −0.692456 0.721460i \(-0.743472\pi\)
0.0205084 + 0.999790i \(0.493472\pi\)
\(284\) 6.25703e10 1.51058e11i 0.570736 1.37788i
\(285\) 2.86430e10i 0.257167i
\(286\) −3.73068e10 1.54530e10i −0.329717 0.136573i
\(287\) 8.58308e9 8.58308e9i 0.0746749 0.0746749i
\(288\) −4.19113e10 −0.358975
\(289\) −1.15193e11 2.81740e10i −0.971368 0.237579i
\(290\) −6.78966e9 −0.0563712
\(291\) −5.30271e10 + 5.30271e10i −0.433490 + 0.433490i
\(292\) −8.53076e9 3.53356e9i −0.0686697 0.0284439i
\(293\) 1.21258e11i 0.961180i 0.876945 + 0.480590i \(0.159578\pi\)
−0.876945 + 0.480590i \(0.840422\pi\)
\(294\) 2.26203e9 5.46103e9i 0.0176578 0.0426297i
\(295\) 9.07325e10 3.75826e10i 0.697531 0.288927i
\(296\) 2.33066e10 + 5.62672e10i 0.176468 + 0.426032i
\(297\) −9.03076e10 9.03076e10i −0.673474 0.673474i
\(298\) 1.95507e10 + 1.95507e10i 0.143611 + 0.143611i
\(299\) −1.08821e11 2.62718e11i −0.787396 1.90094i
\(300\) 3.32811e10 1.37855e10i 0.237220 0.0982599i
\(301\) −5.52443e9 + 1.33371e10i −0.0387916 + 0.0936513i
\(302\) 1.78759e9i 0.0123662i
\(303\) −2.11495e7 8.76042e6i −0.000144148 5.97081e-5i
\(304\) 1.48085e11 1.48085e11i 0.994446 0.994446i
\(305\) 7.31088e7 0.000483749
\(306\) 2.25419e9 1.87047e10i 0.0146975 0.121956i
\(307\) −4.04188e10 −0.259693 −0.129847 0.991534i \(-0.541448\pi\)
−0.129847 + 0.991534i \(0.541448\pi\)
\(308\) −3.53092e10 + 3.53092e10i −0.223568 + 0.223568i
\(309\) −2.23648e9 9.26382e8i −0.0139557 0.00578065i
\(310\) 7.36002e9i 0.0452639i
\(311\) −7.49690e10 + 1.80991e11i −0.454423 + 1.09707i 0.516200 + 0.856468i \(0.327346\pi\)
−0.970623 + 0.240605i \(0.922654\pi\)
\(312\) 2.60115e10 1.07743e10i 0.155407 0.0643715i
\(313\) 7.12182e10 + 1.71936e11i 0.419412 + 1.01255i 0.982518 + 0.186166i \(0.0596063\pi\)
−0.563106 + 0.826385i \(0.690394\pi\)
\(314\) −1.32997e10 1.32997e10i −0.0772075 0.0772075i
\(315\) 1.19077e10 + 1.19077e10i 0.0681445 + 0.0681445i
\(316\) 2.82643e10 + 6.82362e10i 0.159458 + 0.384966i
\(317\) −7.65716e10 + 3.17170e10i −0.425894 + 0.176411i −0.585326 0.810798i \(-0.699034\pi\)
0.159432 + 0.987209i \(0.449034\pi\)
\(318\) −4.43593e9 + 1.07093e10i −0.0243255 + 0.0587270i
\(319\) 2.19625e11i 1.18747i
\(320\) −7.60429e10 3.14980e10i −0.405400 0.167922i
\(321\) −3.69637e10 + 3.69637e10i −0.194314 + 0.194314i
\(322\) 6.99787e9 0.0362756
\(323\) 1.80348e11 + 2.29773e11i 0.921933 + 1.17460i
\(324\) −1.26948e11 −0.639988
\(325\) 1.87763e11 1.87763e11i 0.933545 0.933545i
\(326\) 1.79076e10 + 7.41759e9i 0.0878131 + 0.0363734i
\(327\) 1.06505e11i 0.515115i
\(328\) 1.06056e10 2.56042e10i 0.0505945 0.122146i
\(329\) 7.40797e9 3.06848e9i 0.0348592 0.0144392i
\(330\) 2.89424e9 + 6.98732e9i 0.0134345 + 0.0324338i
\(331\) 1.48346e11 + 1.48346e11i 0.679280 + 0.679280i 0.959837 0.280557i \(-0.0905192\pi\)
−0.280557 + 0.959837i \(0.590519\pi\)
\(332\) 1.31656e11 + 1.31656e11i 0.594727 + 0.594727i
\(333\) 1.25871e11 + 3.03879e11i 0.560951 + 1.35426i
\(334\) 3.07698e10 1.27453e10i 0.135290 0.0560389i
\(335\) −4.18361e8 + 1.01001e9i −0.00181489 + 0.00438153i
\(336\) 1.68866e10i 0.0722798i
\(337\) −1.69927e11 7.03860e10i −0.717675 0.297271i −0.00619840 0.999981i \(-0.501973\pi\)
−0.711476 + 0.702710i \(0.751973\pi\)
\(338\) 4.89512e10 4.89512e10i 0.204004 0.204004i
\(339\) 4.84308e10 0.199170
\(340\) 5.87661e10 1.04413e11i 0.238491 0.423740i
\(341\) 2.38075e11 0.953495
\(342\) −3.28137e10 + 3.28137e10i −0.129699 + 0.129699i
\(343\) −1.02114e11 4.22969e10i −0.398346 0.165000i
\(344\) 3.29599e10i 0.126903i
\(345\) −2.03815e10 + 4.92052e10i −0.0774550 + 0.186993i
\(346\) 3.73510e10 1.54713e10i 0.140107 0.0580342i
\(347\) −1.40525e11 3.39258e11i −0.520321 1.25617i −0.937704 0.347436i \(-0.887052\pi\)
0.417382 0.908731i \(-0.362948\pi\)
\(348\) 5.36060e10 + 5.36060e10i 0.195933 + 0.195933i
\(349\) −2.35170e11 2.35170e11i −0.848530 0.848530i 0.141420 0.989950i \(-0.454833\pi\)
−0.989950 + 0.141420i \(0.954833\pi\)
\(350\) 2.50067e9 + 6.03715e9i 0.00890739 + 0.0215043i
\(351\) 3.00223e11 1.24357e11i 1.05575 0.437307i
\(352\) −6.56591e10 + 1.58515e11i −0.227957 + 0.550337i
\(353\) 1.82460e11i 0.625436i 0.949846 + 0.312718i \(0.101239\pi\)
−0.949846 + 0.312718i \(0.898761\pi\)
\(354\) 2.01607e10 + 8.35083e9i 0.0682324 + 0.0282628i
\(355\) −1.59617e11 + 1.59617e11i −0.533397 + 0.533397i
\(356\) −1.78128e11 −0.587770
\(357\) 2.33837e10 + 2.81808e9i 0.0761915 + 0.00918219i
\(358\) −7.80655e10 −0.251180
\(359\) −1.69025e11 + 1.69025e11i −0.537064 + 0.537064i −0.922665 0.385602i \(-0.873994\pi\)
0.385602 + 0.922665i \(0.373994\pi\)
\(360\) 3.55219e10 + 1.47136e10i 0.111464 + 0.0461699i
\(361\) 3.96788e11i 1.22964i
\(362\) −1.08861e9 + 2.62815e9i −0.00333185 + 0.00804380i
\(363\) −1.19878e11 + 4.96551e10i −0.362376 + 0.150101i
\(364\) −4.86218e10 1.17383e11i −0.145169 0.350470i
\(365\) 9.01410e9 + 9.01410e9i 0.0265830 + 0.0265830i
\(366\) 1.14868e7 + 1.14868e7i 3.34605e−5 + 3.34605e-5i
\(367\) −1.76130e11 4.25217e11i −0.506801 1.22353i −0.945715 0.324996i \(-0.894637\pi\)
0.438914 0.898529i \(-0.355363\pi\)
\(368\) −3.59767e11 + 1.49020e11i −1.02260 + 0.423575i
\(369\) 5.72770e10 1.38279e11i 0.160828 0.388273i
\(370\) 4.16270e10i 0.115469i
\(371\) 9.76185e10 + 4.04349e10i 0.267516 + 0.110809i
\(372\) −5.81092e10 + 5.81092e10i −0.157326 + 0.157326i
\(373\) 5.13638e10 0.137394 0.0686970 0.997638i \(-0.478116\pi\)
0.0686970 + 0.997638i \(0.478116\pi\)
\(374\) −6.72126e10 3.78288e10i −0.177635 0.0999772i
\(375\) −1.15687e11 −0.302095
\(376\) 1.29451e10 1.29451e10i 0.0334011 0.0334011i
\(377\) 5.16281e11 + 2.13851e11i 1.31629 + 0.545224i
\(378\) 7.99688e9i 0.0201469i
\(379\) 1.10077e11 2.65750e11i 0.274044 0.661601i −0.725604 0.688112i \(-0.758440\pi\)
0.999649 + 0.0265108i \(0.00843965\pi\)
\(380\) −2.72655e11 + 1.12937e11i −0.670790 + 0.277850i
\(381\) 4.70677e10 + 1.13632e11i 0.114436 + 0.276272i
\(382\) −1.37237e10 1.37237e10i −0.0329752 0.0329752i
\(383\) −3.21854e11 3.21854e11i −0.764300 0.764300i 0.212796 0.977097i \(-0.431743\pi\)
−0.977097 + 0.212796i \(0.931743\pi\)
\(384\) −3.01141e10 7.27019e10i −0.0706772 0.170630i
\(385\) 6.36916e10 2.63819e10i 0.147744 0.0611975i
\(386\) −1.15558e10 + 2.78981e10i −0.0264945 + 0.0639633i
\(387\) 1.78004e11i 0.403395i
\(388\) 7.13851e11 + 2.95687e11i 1.59906 + 0.662352i
\(389\) 2.64016e11 2.64016e11i 0.584598 0.584598i −0.351566 0.936163i \(-0.614351\pi\)
0.936163 + 0.351566i \(0.114351\pi\)
\(390\) −1.92435e10 −0.0421205
\(391\) −1.46316e11 5.23054e11i −0.316590 1.13175i
\(392\) −1.23018e11 −0.263137
\(393\) 9.73555e10 9.73555e10i 0.205871 0.205871i
\(394\) −3.05648e10 1.26604e10i −0.0638982 0.0264675i
\(395\) 1.01968e11i 0.210755i
\(396\) −2.35627e11 + 5.68853e11i −0.481500 + 1.16244i
\(397\) −5.91986e11 + 2.45209e11i −1.19606 + 0.495425i −0.889725 0.456497i \(-0.849104\pi\)
−0.306338 + 0.951923i \(0.599104\pi\)
\(398\) 4.27307e10 + 1.03161e11i 0.0853623 + 0.206083i
\(399\) −4.10221e10 4.10221e10i −0.0810288 0.0810288i
\(400\) −2.57123e11 2.57123e11i −0.502194 0.502194i
\(401\) 2.93358e11 + 7.08229e11i 0.566563 + 1.36780i 0.904435 + 0.426612i \(0.140293\pi\)
−0.337872 + 0.941192i \(0.609707\pi\)
\(402\) −2.24424e8 + 9.29596e7i −0.000428600 + 0.000177532i
\(403\) −2.31815e11 + 5.59652e11i −0.437794 + 1.05693i
\(404\) 2.35866e8i 0.000440503i
\(405\) 1.61922e11 + 6.70701e10i 0.299059 + 0.123874i
\(406\) −9.72406e9 + 9.72406e9i −0.0177615 + 0.0177615i
\(407\) 1.34651e12 2.43239
\(408\) 5.17872e10 1.44867e10i 0.0925233 0.0258820i
\(409\) 1.19521e11 0.211199 0.105599 0.994409i \(-0.466324\pi\)
0.105599 + 0.994409i \(0.466324\pi\)
\(410\) −1.33942e10 + 1.33942e10i −0.0234093 + 0.0234093i
\(411\) 3.78875e10 + 1.56935e10i 0.0654949 + 0.0271289i
\(412\) 2.49419e10i 0.0426474i
\(413\) 7.61205e10 1.83771e11i 0.128744 0.310815i
\(414\) 7.97193e10 3.30208e10i 0.133371 0.0552441i
\(415\) −9.83691e10 2.37484e11i −0.162795 0.393023i
\(416\) −3.08695e11 3.08695e11i −0.505370 0.505370i
\(417\) 6.64907e10 + 6.64907e10i 0.107683 + 0.107683i
\(418\) 7.26998e10 + 1.75513e11i 0.116477 + 0.281200i
\(419\) −2.71174e10 + 1.12324e10i −0.0429818 + 0.0178037i −0.404071 0.914728i \(-0.632405\pi\)
0.361089 + 0.932531i \(0.382405\pi\)
\(420\) −9.10654e9 + 2.19851e10i −0.0142801 + 0.0344752i
\(421\) 5.90937e11i 0.916794i 0.888747 + 0.458397i \(0.151576\pi\)
−0.888747 + 0.458397i \(0.848424\pi\)
\(422\) −1.31535e11 5.44836e10i −0.201900 0.0836296i
\(423\) 6.99119e10 6.99119e10i 0.106174 0.106174i
\(424\) 2.41243e11 0.362500
\(425\) 3.98960e11 3.13141e11i 0.593170 0.465575i
\(426\) −5.01575e10 −0.0737892
\(427\) 1.04705e8 1.04705e8i 0.000152421 0.000152421i
\(428\) 4.97606e11 + 2.06115e11i 0.716785 + 0.296902i
\(429\) 6.22470e11i 0.887280i
\(430\) 8.62104e9 2.08130e10i 0.0121605 0.0293581i
\(431\) −4.43615e11 + 1.83752e11i −0.619240 + 0.256498i −0.670174 0.742204i \(-0.733780\pi\)
0.0509336 + 0.998702i \(0.483780\pi\)
\(432\) −1.70294e11 4.11127e11i −0.235247 0.567935i
\(433\) 5.71613e11 + 5.71613e11i 0.781460 + 0.781460i 0.980077 0.198617i \(-0.0636451\pi\)
−0.198617 + 0.980077i \(0.563645\pi\)
\(434\) −1.05409e10 1.05409e10i −0.0142618 0.0142618i
\(435\) −4.00528e10 9.66960e10i −0.0536329 0.129481i
\(436\) 1.01383e12 4.19941e11i 1.34361 0.556543i
\(437\) −5.11958e11 + 1.23598e12i −0.671534 + 1.62123i
\(438\) 2.83257e9i 0.00367745i
\(439\) −6.26014e11 2.59303e11i −0.804440 0.333210i −0.0577067 0.998334i \(-0.518379\pi\)
−0.746733 + 0.665124i \(0.768379\pi\)
\(440\) 1.11299e11 1.11299e11i 0.141564 0.141564i
\(441\) −6.64376e11 −0.836450
\(442\) 1.54371e11 1.21165e11i 0.192383 0.151000i
\(443\) −1.48947e12 −1.83744 −0.918722 0.394905i \(-0.870778\pi\)
−0.918722 + 0.394905i \(0.870778\pi\)
\(444\) −3.28655e11 + 3.28655e11i −0.401344 + 0.401344i
\(445\) 2.27202e11 + 9.41102e10i 0.274658 + 0.113767i
\(446\) 2.49255e10i 0.0298288i
\(447\) −1.63103e11 + 3.93765e11i −0.193231 + 0.466502i
\(448\) −1.54019e11 + 6.37967e10i −0.180644 + 0.0748250i
\(449\) −5.23665e11 1.26424e12i −0.608058 1.46798i −0.865109 0.501584i \(-0.832751\pi\)
0.257051 0.966398i \(-0.417249\pi\)
\(450\) 5.69750e10 + 5.69750e10i 0.0654980 + 0.0654980i
\(451\) −4.33261e11 4.33261e11i −0.493123 0.493123i
\(452\) −1.90960e11 4.61017e11i −0.215188 0.519510i
\(453\) −2.54582e10 + 1.05451e10i −0.0284044 + 0.0117655i
\(454\) −5.01081e10 + 1.20972e11i −0.0553549 + 0.133639i
\(455\) 1.75411e11i 0.191869i
\(456\) −1.22373e11 5.06885e10i −0.132539 0.0548995i
\(457\) 5.51378e11 5.51378e11i 0.591325 0.591325i −0.346664 0.937989i \(-0.612686\pi\)
0.937989 + 0.346664i \(0.112686\pi\)
\(458\) 1.80157e11 0.191318
\(459\) 5.97725e11 1.67205e11i 0.628557 0.175829i
\(460\) 5.48751e11 0.571433
\(461\) −5.23702e11 + 5.23702e11i −0.540046 + 0.540046i −0.923542 0.383497i \(-0.874720\pi\)
0.383497 + 0.923542i \(0.374720\pi\)
\(462\) 1.41522e10 + 5.86205e9i 0.0144523 + 0.00598633i
\(463\) 3.53227e9i 0.00357223i 0.999998 + 0.00178611i \(0.000568538\pi\)
−0.999998 + 0.00178611i \(0.999431\pi\)
\(464\) 2.92848e11 7.06998e11i 0.293300 0.708088i
\(465\) 1.04819e11 4.34174e10i 0.103968 0.0430651i
\(466\) 3.98245e10 + 9.61447e10i 0.0391213 + 0.0944472i
\(467\) −3.72825e11 3.72825e11i −0.362726 0.362726i 0.502090 0.864816i \(-0.332565\pi\)
−0.864816 + 0.502090i \(0.832565\pi\)
\(468\) −1.10779e12 1.10779e12i −1.06746 1.06746i
\(469\) 8.47356e8 + 2.04570e9i 0.000808702 + 0.00195238i
\(470\) −1.15604e10 + 4.78846e9i −0.0109278 + 0.00452643i
\(471\) 1.10954e11 2.67866e11i 0.103884 0.250798i
\(472\) 4.54150e11i 0.421173i
\(473\) 6.73239e11 + 2.78865e11i 0.618435 + 0.256164i
\(474\) 1.60211e10 1.60211e10i 0.0145777 0.0145777i
\(475\) −1.24924e12 −1.12596
\(476\) −6.53749e10 2.33703e11i −0.0583686 0.208657i
\(477\) 1.30286e12 1.15230
\(478\) −5.80616e10 + 5.80616e10i −0.0508702 + 0.0508702i
\(479\) 1.13331e12 + 4.69434e11i 0.983650 + 0.407441i 0.815776 0.578367i \(-0.196310\pi\)
0.167874 + 0.985809i \(0.446310\pi\)
\(480\) 8.17648e10i 0.0703041i
\(481\) −1.31111e12 + 3.16529e12i −1.11682 + 2.69625i
\(482\) 1.19864e11 4.96492e10i 0.101152 0.0418987i
\(483\) 4.12810e10 + 9.96612e10i 0.0345135 + 0.0833228i
\(484\) 9.45341e11 + 9.45341e11i 0.783041 + 0.783041i
\(485\) −7.54297e11 7.54297e11i −0.619019 0.619019i
\(486\) 5.78130e10 + 1.39573e11i 0.0470070 + 0.113485i
\(487\) −5.18240e11 + 2.14662e11i −0.417494 + 0.172932i −0.581534 0.813522i \(-0.697547\pi\)
0.164040 + 0.986454i \(0.447547\pi\)
\(488\) 1.29378e8 3.12347e8i 0.000103270 0.000249315i
\(489\) 2.98792e11i 0.236308i
\(490\) 7.76818e10 + 3.21769e10i 0.0608747 + 0.0252151i
\(491\) 1.08174e12 1.08174e12i 0.839956 0.839956i −0.148897 0.988853i \(-0.547572\pi\)
0.988853 + 0.148897i \(0.0475722\pi\)
\(492\) 2.11500e11 0.162730
\(493\) 9.30141e11 + 5.23505e11i 0.709149 + 0.399126i
\(494\) −4.83374e11 −0.365184
\(495\) 6.01083e11 6.01083e11i 0.449998 0.449998i
\(496\) 7.66389e11 + 3.17449e11i 0.568567 + 0.235508i
\(497\) 4.57202e11i 0.336128i
\(498\) 2.18576e10 5.27688e10i 0.0159246 0.0384455i
\(499\) −1.57896e12 + 6.54026e11i −1.14004 + 0.472218i −0.871181 0.490963i \(-0.836645\pi\)
−0.268855 + 0.963181i \(0.586645\pi\)
\(500\) 4.56146e11 + 1.10123e12i 0.326392 + 0.787979i
\(501\) 3.63027e11 + 3.63027e11i 0.257436 + 0.257436i
\(502\) −2.45584e10 2.45584e10i −0.0172597 0.0172597i
\(503\) −5.12505e11 1.23730e12i −0.356978 0.861822i −0.995722 0.0924022i \(-0.970545\pi\)
0.638743 0.769420i \(-0.279455\pi\)
\(504\) 7.19467e10 2.98013e10i 0.0496676 0.0205730i
\(505\) 1.24615e8 3.00847e8i 8.52626e−5 0.000205842i
\(506\) 3.53242e11i 0.239549i
\(507\) 9.85914e11 + 4.08379e11i 0.662679 + 0.274491i
\(508\) 8.96083e11 8.96083e11i 0.596982 0.596982i
\(509\) 1.86732e12 1.23307 0.616536 0.787327i \(-0.288535\pi\)
0.616536 + 0.787327i \(0.288535\pi\)
\(510\) −3.64910e10 4.39770e9i −0.0238847 0.00287846i
\(511\) 2.58198e10 0.0167517
\(512\) −7.09214e11 + 7.09214e11i −0.456102 + 0.456102i
\(513\) −1.41242e12 5.85045e11i −0.900403 0.372959i
\(514\) 2.03409e11i 0.128539i
\(515\) 1.31775e10 3.18134e10i 0.00825471 0.0199286i
\(516\) −2.32389e11 + 9.62587e10i −0.144309 + 0.0597746i
\(517\) −1.54892e11 3.73943e11i −0.0953503 0.230196i
\(518\) −5.96176e10 5.96176e10i −0.0363824 0.0363824i
\(519\) 4.40674e11 + 4.40674e11i 0.266602 + 0.266602i
\(520\) 1.53262e11 + 3.70007e11i 0.0919218 + 0.221919i
\(521\) 1.53866e12 6.37334e11i 0.914899 0.378964i 0.124969 0.992161i \(-0.460117\pi\)
0.789930 + 0.613197i \(0.210117\pi\)
\(522\) −6.48910e10 + 1.56661e11i −0.0382532 + 0.0923513i
\(523\) 1.76906e12i 1.03392i 0.856010 + 0.516959i \(0.172936\pi\)
−0.856010 + 0.516959i \(0.827064\pi\)
\(524\) −1.31060e12 5.42869e11i −0.759416 0.314561i
\(525\) −7.12274e10 + 7.12274e10i −0.0409195 + 0.0409195i
\(526\) −1.80887e11 −0.103032
\(527\) −5.67482e11 + 1.00828e12i −0.320483 + 0.569419i
\(528\) −8.52412e11 −0.477306
\(529\) 4.85360e11 4.85360e11i 0.269472 0.269472i
\(530\) −1.52337e11 6.30999e10i −0.0838616 0.0347366i
\(531\) 2.45270e12i 1.33881i
\(532\) −2.28745e11 + 5.52240e11i −0.123808 + 0.298900i
\(533\) 1.44035e12 5.96614e11i 0.773031 0.320200i
\(534\) 2.09112e10 + 5.04842e10i 0.0111287 + 0.0268670i
\(535\) −5.25800e11 5.25800e11i −0.277478 0.277478i
\(536\) 3.57478e9 + 3.57478e9i 0.00187071 + 0.00187071i
\(537\) −4.60515e11 1.11178e12i −0.238979 0.576946i
\(538\) −4.63338e10 + 1.91921e10i −0.0238439 + 0.00987647i
\(539\) −1.04082e12 + 2.51277e12i −0.531163 + 1.28234i
\(540\) 6.27091e11i 0.317365i
\(541\) −2.43336e12 1.00793e12i −1.22129 0.505874i −0.323469 0.946239i \(-0.604849\pi\)
−0.897819 + 0.440364i \(0.854849\pi\)
\(542\) 1.15807e11 1.15807e11i 0.0576418 0.0576418i
\(543\) −4.38510e10 −0.0216461
\(544\) −5.14825e11 6.55916e11i −0.252037 0.321110i
\(545\) −1.51500e12 −0.735579
\(546\) −2.75603e10 + 2.75603e10i −0.0132714 + 0.0132714i
\(547\) 1.30349e12 + 5.39923e11i 0.622536 + 0.257863i 0.671578 0.740934i \(-0.265617\pi\)
−0.0490422 + 0.998797i \(0.515617\pi\)
\(548\) 4.22533e11i 0.200146i
\(549\) 6.98725e8 1.68687e9i 0.000328270 0.000792513i
\(550\) 3.04746e11 1.26230e11i 0.142006 0.0588208i
\(551\) −1.00608e12 2.42889e12i −0.464996 1.12260i
\(552\) 1.74154e11 + 1.74154e11i 0.0798376 + 0.0798376i
\(553\) −1.46037e11 1.46037e11i −0.0664050 0.0664050i
\(554\) 3.22777e10 + 7.79252e10i 0.0145582 + 0.0351467i
\(555\) 5.92837e11 2.45561e11i 0.265227 0.109860i
\(556\) 3.70762e11 8.95099e11i 0.164535 0.397223i
\(557\) 3.98910e12i 1.75601i −0.478655 0.878003i \(-0.658875\pi\)
0.478655 0.878003i \(-0.341125\pi\)
\(558\) −1.69821e11 7.03422e10i −0.0741546 0.0307158i
\(559\) −1.31108e12 + 1.31108e12i −0.567904 + 0.567904i
\(560\) 2.40208e11 0.103215
\(561\) 1.42252e11 1.18037e12i 0.0606354 0.503138i
\(562\) −6.44928e10 −0.0272708
\(563\) 1.22441e12 1.22441e12i 0.513617 0.513617i −0.402016 0.915633i \(-0.631690\pi\)
0.915633 + 0.402016i \(0.131690\pi\)
\(564\) 1.29078e11 + 5.34658e10i 0.0537150 + 0.0222495i
\(565\) 6.88917e11i 0.284412i
\(566\) 9.49263e10 2.29172e11i 0.0388788 0.0938616i
\(567\) 3.27959e11 1.35845e11i 0.133259 0.0551976i
\(568\) 3.99471e11 + 9.64408e11i 0.161034 + 0.388771i
\(569\) 7.92968e11 + 7.92968e11i 0.317140 + 0.317140i 0.847667 0.530528i \(-0.178006\pi\)
−0.530528 + 0.847667i \(0.678006\pi\)
\(570\) 6.40162e10 + 6.40162e10i 0.0254011 + 0.0254011i
\(571\) 1.66959e12 + 4.03074e12i 0.657275 + 1.58680i 0.801996 + 0.597329i \(0.203771\pi\)
−0.144721 + 0.989472i \(0.546229\pi\)
\(572\) −5.92534e12 + 2.45436e12i −2.31436 + 0.958640i
\(573\) 1.14491e11 2.76406e11i 0.0443687 0.107115i
\(574\) 3.83659e10i 0.0147517i
\(575\) 2.14605e12 + 8.88922e11i 0.818717 + 0.339124i
\(576\) −1.45354e12 + 1.45354e12i −0.550205 + 0.550205i
\(577\) −1.07137e12 −0.402390 −0.201195 0.979551i \(-0.564483\pi\)
−0.201195 + 0.979551i \(0.564483\pi\)
\(578\) 3.20420e11 1.94484e11i 0.119411 0.0724785i
\(579\) −4.65483e11 −0.172127
\(580\) −7.62532e11 + 7.62532e11i −0.279790 + 0.279790i
\(581\) −4.81005e11 1.99239e11i −0.175128 0.0725406i
\(582\) 2.37028e11i 0.0856340i
\(583\) 2.04109e12 4.92763e12i 0.731735 1.76657i
\(584\) 5.44634e10 2.25595e10i 0.0193752 0.00802549i
\(585\) 8.27710e11 + 1.99827e12i 0.292198 + 0.705428i
\(586\) −2.71008e11 2.71008e11i −0.0949385 0.0949385i
\(587\) 1.28357e12 + 1.28357e12i 0.446219 + 0.446219i 0.894095 0.447877i \(-0.147820\pi\)
−0.447877 + 0.894095i \(0.647820\pi\)
\(588\) −3.59273e11 8.67361e11i −0.123944 0.299228i
\(589\) 2.63292e12 1.09059e12i 0.901404 0.373374i
\(590\) −1.18788e11 + 2.86781e11i −0.0403590 + 0.0974352i
\(591\) 5.09978e11i 0.171952i
\(592\) 4.33456e12 + 1.79543e12i 1.45043 + 0.600788i
\(593\) −1.57482e12 + 1.57482e12i −0.522978 + 0.522978i −0.918470 0.395491i \(-0.870574\pi\)
0.395491 + 0.918470i \(0.370574\pi\)
\(594\) 4.03670e11 0.133042
\(595\) −4.00865e10 + 3.32627e11i −0.0131121 + 0.108801i
\(596\) 4.39139e12 1.42559
\(597\) −1.21711e12 + 1.21711e12i −0.392144 + 0.392144i
\(598\) 8.30380e11 + 3.43954e11i 0.265535 + 0.109988i
\(599\) 2.65815e12i 0.843644i 0.906679 + 0.421822i \(0.138609\pi\)
−0.906679 + 0.421822i \(0.861391\pi\)
\(600\) −8.80115e10 + 2.12478e11i −0.0277242 + 0.0669321i
\(601\) −2.42760e11 + 1.00555e11i −0.0759002 + 0.0314389i −0.420311 0.907380i \(-0.638079\pi\)
0.344410 + 0.938819i \(0.388079\pi\)
\(602\) −1.74612e10 4.21551e10i −0.00541864 0.0130818i
\(603\) 1.93061e10 + 1.93061e10i 0.00594656 + 0.00594656i
\(604\) 2.00760e11 + 2.00760e11i 0.0613778 + 0.0613778i
\(605\) −7.06331e11 1.70523e12i −0.214343 0.517469i
\(606\) 6.68480e7 2.76893e7i 2.01355e−5 8.34038e-6i
\(607\) 1.51345e12 3.65380e12i 0.452501 1.09243i −0.518867 0.854855i \(-0.673646\pi\)
0.971368 0.237580i \(-0.0763540\pi\)
\(608\) 2.05383e12i 0.609535i
\(609\) −1.95850e11 8.11237e10i −0.0576960 0.0238985i
\(610\) −1.63396e8 + 1.63396e8i −4.77813e−5 + 4.77813e-5i
\(611\) 1.02986e12 0.298947
\(612\) −1.84752e12 2.35385e12i −0.532363 0.678260i
\(613\) −1.76259e12 −0.504171 −0.252086 0.967705i \(-0.581116\pi\)
−0.252086 + 0.967705i \(0.581116\pi\)
\(614\) 9.03349e10 9.03349e10i 0.0256506 0.0256506i
\(615\) −2.69769e11 1.11742e11i −0.0760420 0.0314976i
\(616\) 3.18801e11i 0.0892085i
\(617\) 7.33685e10 1.77127e11i 0.0203810 0.0492042i −0.913361 0.407150i \(-0.866523\pi\)
0.933742 + 0.357946i \(0.116523\pi\)
\(618\) 7.06892e9 2.92804e9i 0.00194942 0.000807475i
\(619\) 7.57422e11 + 1.82858e12i 0.207362 + 0.500617i 0.993006 0.118062i \(-0.0376682\pi\)
−0.785644 + 0.618679i \(0.787668\pi\)
\(620\) −8.26588e11 8.26588e11i −0.224660 0.224660i
\(621\) 2.01008e12 + 2.01008e12i 0.542376 + 0.542376i
\(622\) −2.36957e11 5.72064e11i −0.0634764 0.153246i
\(623\) 4.60179e11 1.90613e11i 0.122386 0.0506939i
\(624\) 8.30001e11 2.00380e12i 0.219153 0.529083i
\(625\) 1.23090e12i 0.322674i
\(626\) −5.43443e11 2.25101e11i −0.141439 0.0585860i
\(627\) −2.07073e12 + 2.07073e12i −0.535082 + 0.535082i
\(628\) −2.98733e12 −0.766415
\(629\) −3.20958e12 + 5.70264e12i −0.817561 + 1.45261i
\(630\) −5.32268e10 −0.0134616
\(631\) 3.55051e12 3.55051e12i 0.891578 0.891578i −0.103094 0.994672i \(-0.532874\pi\)
0.994672 + 0.103094i \(0.0328743\pi\)
\(632\) −4.35644e11 1.80450e11i −0.108619 0.0449914i
\(633\) 2.19468e12i 0.543319i
\(634\) 1.00249e11 2.42022e11i 0.0246421 0.0594913i
\(635\) −1.61638e12 + 6.69526e11i −0.394513 + 0.163413i
\(636\) 7.04546e11 + 1.70092e12i 0.170747 + 0.412219i
\(637\) −4.89342e12 4.89342e12i −1.17756 1.17756i
\(638\) 4.90856e11 + 4.90856e11i 0.117290 + 0.117290i
\(639\) 2.15740e12 + 5.20842e12i 0.511889 + 1.23581i
\(640\) 1.03417e12 4.28366e11i 0.243658 0.100926i
\(641\) 1.56521e12 3.77875e12i 0.366194 0.884070i −0.628173 0.778074i \(-0.716197\pi\)
0.994367 0.105996i \(-0.0338031\pi\)
\(642\) 1.65226e11i 0.0383858i
\(643\) −5.77650e12 2.39270e12i −1.33265 0.552000i −0.401238 0.915974i \(-0.631420\pi\)
−0.931409 + 0.363974i \(0.881420\pi\)
\(644\) 7.85915e11 7.85915e11i 0.180048 0.180048i
\(645\) 3.47268e11 0.0790036
\(646\) −9.16610e11 1.10465e11i −0.207080 0.0249562i
\(647\) 4.16798e12 0.935096 0.467548 0.883968i \(-0.345137\pi\)
0.467548 + 0.883968i \(0.345137\pi\)
\(648\) 5.73095e11 5.73095e11i 0.127685 0.127685i
\(649\) −9.27649e12 3.84245e12i −2.05250 0.850172i
\(650\) 8.39291e11i 0.184418i
\(651\) 8.79385e10 2.12302e11i 0.0191895 0.0463276i
\(652\) 2.84422e12 1.17812e12i 0.616381 0.255313i
\(653\) −1.33989e12 3.23479e12i −0.288377 0.696204i 0.711603 0.702582i \(-0.247970\pi\)
−0.999980 + 0.00637853i \(0.997970\pi\)
\(654\) −2.38035e11 2.38035e11i −0.0508793 0.0508793i
\(655\) 1.38486e12 + 1.38486e12i 0.293981 + 0.293981i
\(656\) −8.17006e11 1.97243e12i −0.172249 0.415847i
\(657\) 2.94137e11 1.21836e11i 0.0615893 0.0255111i
\(658\) −9.69864e9 + 2.34146e10i −0.00201695 + 0.00486934i
\(659\) 4.29957e12i 0.888056i 0.896013 + 0.444028i \(0.146451\pi\)
−0.896013 + 0.444028i \(0.853549\pi\)
\(660\) 1.10978e12 + 4.59684e11i 0.227660 + 0.0943000i
\(661\) −5.33559e11 + 5.33559e11i −0.108712 + 0.108712i −0.759370 0.650659i \(-0.774493\pi\)
0.650659 + 0.759370i \(0.274493\pi\)
\(662\) −6.63097e11 −0.134189
\(663\) 2.63624e12 + 1.48374e12i 0.529876 + 0.298227i
\(664\) −1.18870e12 −0.237310
\(665\) 5.83529e11 5.83529e11i 0.115708 0.115708i
\(666\) −9.60478e11 3.97843e11i −0.189170 0.0783570i
\(667\) 4.88844e12i 0.956321i
\(668\) 2.02430e12 4.88708e12i 0.393351 0.949632i
\(669\) 3.54980e11 1.47038e11i 0.0685151 0.0283799i
\(670\) −1.32233e9 3.19238e9i −0.000253514 0.000612037i
\(671\) −5.28537e9 5.28537e9i −0.00100652 0.00100652i
\(672\) 1.17103e11 + 1.17103e11i 0.0221516 + 0.0221516i
\(673\) −5.00486e11 1.20828e12i −0.0940424 0.227038i 0.869858 0.493303i \(-0.164211\pi\)
−0.963900 + 0.266264i \(0.914211\pi\)
\(674\) 5.37093e11 2.22471e11i 0.100249 0.0415245i
\(675\) −1.01582e12 + 2.45242e12i −0.188344 + 0.454702i
\(676\) 1.09952e13i 2.02508i
\(677\) −9.90637e11 4.10335e11i −0.181245 0.0750740i 0.290216 0.956961i \(-0.406273\pi\)
−0.471460 + 0.881887i \(0.656273\pi\)
\(678\) −1.08242e11 + 1.08242e11i −0.0196726 + 0.0196726i
\(679\) −2.16059e12 −0.390084
\(680\) 2.06069e11 + 7.36659e11i 0.0369593 + 0.132122i
\(681\) −2.01843e12 −0.359626
\(682\) −5.32090e11 + 5.32090e11i −0.0941794 + 0.0941794i
\(683\) −3.69055e12 1.52868e12i −0.648930 0.268796i 0.0338420 0.999427i \(-0.489226\pi\)
−0.682772 + 0.730632i \(0.739226\pi\)
\(684\) 7.37046e12i 1.28748i
\(685\) −2.23236e11 + 5.38940e11i −0.0387398 + 0.0935261i
\(686\) 3.22754e11 1.33689e11i 0.0556433 0.0230482i
\(687\) 1.06276e12 + 2.56574e12i 0.182025 + 0.439447i
\(688\) 1.79539e12 + 1.79539e12i 0.305500 + 0.305500i
\(689\) 9.59616e12 + 9.59616e12i 1.62222 + 1.62222i
\(690\) −6.44203e10 1.55524e11i −0.0108194 0.0261203i
\(691\) −7.53526e12 + 3.12121e12i −1.25732 + 0.520800i −0.909087 0.416606i \(-0.863219\pi\)
−0.348236 + 0.937407i \(0.613219\pi\)
\(692\) 2.45726e12 5.93236e12i 0.407356 0.983444i
\(693\) 1.72173e12i 0.283573i
\(694\) 1.07230e12 + 4.44162e11i 0.175469 + 0.0726815i
\(695\) −9.45813e11 + 9.45813e11i −0.153771 + 0.153771i
\(696\) −4.84000e11 −0.0781815
\(697\) 2.86765e12 8.02182e11i 0.460234 0.128744i
\(698\) 1.05120e12 0.167623
\(699\) −1.13433e12 + 1.13433e12i −0.179719 + 0.179719i
\(700\) 9.58864e11 + 3.97174e11i 0.150944 + 0.0625231i
\(701\) 3.16374e12i 0.494846i 0.968908 + 0.247423i \(0.0795837\pi\)
−0.968908 + 0.247423i \(0.920416\pi\)
\(702\) −3.93057e11 + 9.48924e11i −0.0610856 + 0.147474i
\(703\) 1.48914e13 6.16820e12i 2.29951 0.952488i
\(704\) 3.22036e12 + 7.77464e12i 0.494114 + 1.19290i
\(705\) −1.36391e11 1.36391e11i −0.0207939 0.0207939i
\(706\) −4.07794e11 4.07794e11i −0.0617760 0.0617760i
\(707\) −2.52397e8 6.09341e8i −3.79924e−5 9.17219e-5i
\(708\) 3.20207e12 1.32634e12i 0.478939 0.198383i
\(709\) 4.77904e11 1.15376e12i 0.0710285 0.171478i −0.884378 0.466771i \(-0.845417\pi\)
0.955407 + 0.295293i \(0.0954173\pi\)
\(710\) 7.13478e11i 0.105370i
\(711\) −2.35275e12 9.74543e11i −0.345274 0.143017i
\(712\) 8.04145e11 8.04145e11i 0.117267 0.117267i
\(713\) −5.29909e12 −0.767889
\(714\) −5.85603e10 + 4.59636e10i −0.00843260 + 0.00661870i
\(715\) 8.85448e12 1.26703
\(716\) −8.76736e12 + 8.76736e12i −1.24669 + 1.24669i
\(717\) −1.16940e12 4.84383e11i −0.165245 0.0684467i
\(718\) 7.55533e11i 0.106095i
\(719\) 1.19204e12 2.87785e12i 0.166346 0.401595i −0.818622 0.574333i \(-0.805261\pi\)
0.984968 + 0.172738i \(0.0552615\pi\)
\(720\) 2.73644e12 1.13347e12i 0.379480 0.157186i
\(721\) −2.66900e10 6.44355e10i −0.00367824 0.00888007i
\(722\) 8.86812e11 + 8.86812e11i 0.121455 + 0.121455i
\(723\) 1.41417e12 + 1.41417e12i 0.192478 + 0.192478i
\(724\) 1.72902e11 + 4.17421e11i 0.0233871 + 0.0564613i
\(725\) −4.21732e12 + 1.74687e12i −0.566912 + 0.234823i
\(726\) 1.56946e11 3.78902e11i 0.0209670 0.0506188i
\(727\) 1.86046e12i 0.247010i 0.992344 + 0.123505i \(0.0394136\pi\)
−0.992344 + 0.123505i \(0.960586\pi\)
\(728\) 7.49418e11 + 3.10419e11i 0.0988856 + 0.0409598i
\(729\) 1.87285e12 1.87285e12i 0.245601 0.245601i
\(730\) −4.02925e10 −0.00525136
\(731\) −2.78578e12 + 2.18655e12i −0.360844 + 0.283224i
\(732\) 2.58010e9 0.000332152
\(733\) 1.69136e12 1.69136e12i 0.216405 0.216405i −0.590576 0.806982i \(-0.701100\pi\)
0.806982 + 0.590576i \(0.201100\pi\)
\(734\) 1.34399e12 + 5.56701e11i 0.170909 + 0.0707929i
\(735\) 1.29613e12i 0.163816i
\(736\) 1.46145e12 3.52824e12i 0.183583 0.443209i
\(737\) 1.03264e11 4.27733e10i 0.0128927 0.00534034i
\(738\) 1.81037e11 + 4.37062e11i 0.0224654 + 0.0542362i
\(739\) 1.70037e12 + 1.70037e12i 0.209722 + 0.209722i 0.804149 0.594427i \(-0.202621\pi\)
−0.594427 + 0.804149i \(0.702621\pi\)
\(740\) −4.67503e12 4.67503e12i −0.573115 0.573115i
\(741\) −2.85146e12 6.88404e12i −0.347445 0.838806i
\(742\) −3.08546e11 + 1.27804e11i −0.0373682 + 0.0154784i
\(743\) 5.73707e11 1.38505e12i 0.0690622 0.166731i −0.885580 0.464488i \(-0.846238\pi\)
0.954642 + 0.297757i \(0.0962385\pi\)
\(744\) 5.24659e11i 0.0627767i
\(745\) −5.60121e12 2.32010e12i −0.666160 0.275932i
\(746\) −1.14797e11 + 1.14797e11i −0.0135708 + 0.0135708i
\(747\) −6.41972e12 −0.754351
\(748\) −1.17970e13 + 3.30002e12i −1.37789 + 0.385443i
\(749\) −1.50609e12 −0.174857
\(750\) 2.58557e11 2.58557e11i 0.0298388 0.0298388i
\(751\) −1.12447e13 4.65771e12i −1.28994 0.534310i −0.370971 0.928645i \(-0.620975\pi\)
−0.918967 + 0.394335i \(0.870975\pi\)
\(752\) 1.41030e12i 0.160816i
\(753\) 2.04881e11 4.94625e11i 0.0232233 0.0560659i
\(754\) −1.63183e12 + 6.75924e11i −0.183867 + 0.0761600i
\(755\) −1.50002e11 3.62137e11i −0.0168010 0.0405613i
\(756\) 8.98112e11 + 8.98112e11i 0.0999959 + 0.0999959i
\(757\) 5.78313e12 + 5.78313e12i 0.640076 + 0.640076i 0.950574 0.310498i \(-0.100496\pi\)
−0.310498 + 0.950574i \(0.600496\pi\)
\(758\) 3.47924e11 + 8.39963e11i 0.0382801 + 0.0924163i
\(759\) 5.03075e12 2.08380e12i 0.550230 0.227913i