Properties

Label 17.10.d.a.2.7
Level $17$
Weight $10$
Character 17.2
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 2.7
Character \(\chi\) \(=\) 17.2
Dual form 17.10.d.a.9.7

$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{7}{8}\right)\)

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 0.655994 0.754766i \(-0.272250\pi\)
−0.754766 + 0.655994i \(0.772250\pi\)
\(3\) −45.0140 + 18.6454i −0.320850 + 0.132900i −0.537295 0.843394i \(-0.680554\pi\)
0.216445 + 0.976295i \(0.430554\pi\)
\(4\) 502.010i 0.980488i
\(5\) 265.226 + 640.313i 0.189781 + 0.458171i 0.989917 0.141647i \(-0.0452398\pi\)
−0.800137 + 0.599818i \(0.795240\pi\)
\(6\) 142.277 + 58.9331i 0.0448182 + 0.0185643i
\(7\) −537.194 + 1296.90i −0.0845649 + 0.204158i −0.960505 0.278261i \(-0.910242\pi\)
0.875940 + 0.482419i \(0.160242\pi\)
\(8\) −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 −0.412392 0.911007i \(-0.635306\pi\)
−0.935784 + 0.352574i \(0.885306\pi\)
\(12\) 9360.18 + 22597.5i 0.130307 + 0.314590i
\(13\) 180297.i 1.75082i 0.483378 + 0.875412i \(0.339410\pi\)
−0.483378 + 0.875412i \(0.660590\pi\)
\(14\) 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 −0.998345 0.0575042i \(-0.981686\pi\)
−0.0575042 0.998345i \(-0.518314\pi\)
\(20\) 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 0.852520 0.522695i \(-0.175073\pi\)
0.233222 + 0.972424i \(0.425073\pi\)
\(24\) 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 −0.999653 0.0263300i \(-0.991618\pi\)
0.688244 0.725480i \(-0.258382\pi\)
\(30\) 106733.i 0.0240575i
\(31\) −3.10406e6 + 1.28574e6i −0.603674 + 0.250050i −0.663521 0.748158i \(-0.730939\pi\)
0.0598469 + 0.998208i \(0.480939\pi\)
\(32\) 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 −0.981472 0.191607i \(-0.938630\pi\)
−0.558519 + 0.829492i \(0.688630\pi\)
\(38\) 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 −0.805674 0.592360i \(-0.798196\pi\)
0.988559 + 0.150836i \(0.0481964\pi\)
\(42\) −152861. + 152861.i −0.00758010 + 0.00758010i
\(43\) −7.27178e6 + 7.27178e6i −0.324364 + 0.324364i −0.850439 0.526074i \(-0.823663\pi\)
0.526074 + 0.850439i \(0.323663\pi\)
\(44\) −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 \(-0.972792\pi\)
0.996349 0.0853732i \(-0.0272082\pi\)
\(48\) 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 0.0709323 0.997481i \(-0.477403\pi\)
−0.997481 + 0.0709323i \(0.977403\pi\)
\(54\) −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 0.0796988 0.996819i \(-0.474604\pi\)
0.996819 0.0796988i \(-0.0253958\pi\)
\(60\) −1.19869e7 + 1.19869e7i −0.119406 + 0.119406i
\(61\) 40367.5 97455.8i 0.000373291 0.000901205i −0.923693 0.383134i \(-0.874845\pi\)
0.924066 + 0.382233i \(0.124845\pi\)
\(62\) 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 −0.951122 0.308817i \(-0.900067\pi\)
−0.454178 + 0.890911i \(0.650067\pi\)
\(72\) 5.54758e7i 0.243281i
\(73\) −7.03882e6 1.69932e7i −0.0290100 0.0700362i 0.908711 0.417427i \(-0.137068\pi\)
−0.937721 + 0.347390i \(0.887068\pi\)
\(74\) 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 0.570258 0.821466i \(-0.306843\pi\)
−0.177631 + 0.984097i \(0.556843\pi\)
\(80\) −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 0.942046 0.335483i \(-0.108900\pi\)
−0.335483 + 0.942046i \(0.608900\pi\)
\(84\) −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 \(-0.903102\pi\)
0.954023 0.299733i \(-0.0968977\pi\)
\(90\) 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 0.772058 + 0.635552i \(0.219227\pi\)
−0.0965249 + 0.995331i \(0.530773\pi\)
\(98\) 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 0.999901 + 0.0140661i \(0.00447754\pi\)
−0.697091 + 0.716983i \(0.745522\pi\)
\(108\) −8.35928e8 3.46253e8i −0.591237 0.244899i
\(109\) −8.36519e8 + 2.01954e9i −0.567619 + 1.37035i 0.335938 + 0.941884i \(0.390947\pi\)
−0.903557 + 0.428469i \(0.859053\pi\)
\(110\) −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 0.101688 0.994816i \(-0.467576\pi\)
−0.631537 + 0.775346i \(0.717576\pi\)
\(114\) −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 −0.942649 0.333786i \(-0.891674\pi\)
0.333786 + 0.942649i \(0.391674\pi\)
\(128\) 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 −0.999207 0.0398236i \(-0.987320\pi\)
0.678386 0.734705i \(-0.262680\pi\)
\(132\) 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 −0.575936 0.817495i \(-0.695362\pi\)
0.170808 + 0.985304i \(0.445362\pi\)
\(140\) 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 \(0.259076\pi\)
−0.686661 + 0.726978i \(0.740924\pi\)
\(150\) 2.09543e8 8.67955e7i 0.0337958 0.0139987i
\(151\) 3.99913e8 + 3.99913e8i 0.0625993 + 0.0625993i 0.737713 0.675114i \(-0.235906\pi\)
−0.675114 + 0.737713i \(0.735906\pi\)
\(152\) 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 \(-0.872187\pi\)
0.920461 0.390834i \(-0.127813\pi\)
\(158\) −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 −0.998963 0.0455310i \(-0.985502\pi\)
0.738569 + 0.674178i \(0.235502\pi\)
\(164\) −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 −0.810165 0.586202i \(-0.800622\pi\)
−0.158365 + 0.987381i \(0.550622\pi\)
\(168\) 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 −0.822902 0.568183i \(-0.807646\pi\)
−0.180113 + 0.983646i \(0.557646\pi\)
\(174\) 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 0.326206 0.945299i \(-0.394230\pi\)
0.945299 0.326206i \(-0.105770\pi\)
\(180\) −2.30464e9 + 5.56389e9i −0.163635 + 0.395050i
\(181\) 8.31500e8 + 3.44419e8i 0.0575849 + 0.0238525i 0.411290 0.911505i \(-0.365078\pi\)
−0.353705 + 0.935357i \(0.615078\pi\)
\(182\) 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 \(-0.946616\pi\)
0.985970 0.166924i \(-0.0533836\pi\)
\(192\) −2.21431e9 5.34582e9i −0.117593 0.283896i
\(193\) 8.82646e9 + 3.65604e9i 0.457909 + 0.189672i 0.599700 0.800225i \(-0.295286\pi\)
−0.141792 + 0.989896i \(0.545286\pi\)
\(194\) 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 −0.800381 0.599492i \(-0.795369\pi\)
0.989860 + 0.142050i \(0.0453692\pi\)
\(198\) −3.58158e9 1.48354e9i −0.165608 0.0685971i
\(199\) 1.35192e10 + 3.26383e10i 0.611102 + 1.47533i 0.861791 + 0.507263i \(0.169343\pi\)
−0.250690 + 0.968068i \(0.580657\pi\)
\(200\) 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 −0.276212 0.961097i \(-0.589079\pi\)
0.874909 0.484287i \(-0.160921\pi\)
\(212\) −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 0.627566 0.778563i \(-0.284051\pi\)
−0.778563 + 0.627566i \(0.784051\pi\)
\(224\) −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 0.805748 0.592258i \(-0.201763\pi\)
0.150960 + 0.988540i \(0.451763\pi\)
\(228\) 7.93949e9 1.91676e10i 0.194574 0.469744i
\(229\) −4.03041e10 + 4.03041e10i −0.968477 + 0.968477i −0.999518 0.0310412i \(-0.990118\pi\)
0.0310412 + 0.999518i \(0.490118\pi\)
\(230\) 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 0.999837 0.0180724i \(-0.00575292\pi\)
−0.719770 + 0.694212i \(0.755753\pi\)
\(234\) 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 −0.714142 0.700000i \(-0.753183\pi\)
−0.00999988 + 0.999950i \(0.503183\pi\)
\(242\) 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 \(-0.972153\pi\)
0.996176 0.0873709i \(-0.0278465\pi\)
\(252\) −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 0.953157 0.302475i \(-0.0978128\pi\)
−0.302475 + 0.953157i \(0.597813\pi\)
\(258\) −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 −0.396483 0.918042i \(-0.629769\pi\)
0.918042 + 0.396483i \(0.129769\pi\)
\(264\) −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 −0.295699 0.955281i \(-0.595552\pi\)
0.466395 + 0.884576i \(0.345552\pi\)
\(270\) −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 0.967384 0.253313i \(-0.0815202\pi\)
−0.863163 + 0.504925i \(0.831520\pi\)
\(278\) 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 −0.634706 0.772754i \(-0.718879\pi\)
0.772754 + 0.634706i \(0.218879\pi\)
\(282\) 3.36629e8 8.12694e8i 0.00316979 0.00765255i
\(283\) −7.25061e10 3.00330e10i −0.671948 0.278330i 0.0205084 0.999790i \(-0.493472\pi\)
−0.692456 + 0.721460i \(0.743472\pi\)
\(284\) 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 \(-0.840422\pi\)
0.876945 0.480590i \(-0.159578\pi\)
\(294\) 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 −0.970623 0.240605i \(-0.922654\pi\)
0.516200 0.856468i \(-0.327346\pi\)
\(312\) 2.60115e10 + 1.07743e10i 0.155407 + 0.0643715i
\(313\) 7.12182e10 1.71936e11i 0.419412 1.01255i −0.563106 0.826385i \(-0.690394\pi\)
0.982518 0.186166i \(-0.0596063\pi\)
\(314\) −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 0.159432 0.987209i \(-0.449034\pi\)
−0.585326 + 0.810798i \(0.699034\pi\)
\(318\) −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 −0.280557 0.959837i \(-0.590519\pi\)
0.959837 + 0.280557i \(0.0905192\pi\)
\(332\) 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 −0.711476 0.702710i \(-0.751973\pi\)
−0.00619840 + 0.999981i \(0.501973\pi\)
\(338\) 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 0.417382 + 0.908731i \(0.362948\pi\)
−0.937704 + 0.347436i \(0.887052\pi\)
\(348\) 5.36060e10 5.36060e10i 0.195933 0.195933i
\(349\) −2.35170e11 + 2.35170e11i −0.848530 + 0.848530i −0.989950 0.141420i \(-0.954833\pi\)
0.141420 + 0.989950i \(0.454833\pi\)
\(350\) 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 \(-0.898761\pi\)
0.949846 0.312718i \(-0.101239\pi\)
\(354\) 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 0.385602 0.922665i \(-0.373994\pi\)
−0.922665 + 0.385602i \(0.873994\pi\)
\(360\) 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 0.438914 + 0.898529i \(0.355363\pi\)
−0.945715 + 0.324996i \(0.894637\pi\)
\(368\) −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 0.999649 0.0265108i \(-0.00843965\pi\)
−0.725604 + 0.688112i \(0.758440\pi\)
\(380\) −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 −0.977097 0.212796i \(-0.931743\pi\)
0.212796 + 0.977097i \(0.431743\pi\)
\(384\) −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 0.936163 0.351566i \(-0.114351\pi\)
−0.351566 + 0.936163i \(0.614351\pi\)
\(390\) −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 −0.306338 0.951923i \(-0.599104\pi\)
−0.889725 + 0.456497i \(0.849104\pi\)
\(398\) 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 −0.337872 0.941192i \(-0.609707\pi\)
0.904435 0.426612i \(-0.140293\pi\)
\(402\) −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 0.361089 0.932531i \(-0.382405\pi\)
−0.404071 + 0.914728i \(0.632405\pi\)
\(420\) −9.10654e9 2.19851e10i −0.0142801 0.0344752i
\(421\) 5.90937e11i 0.916794i −0.888747 0.458397i \(-0.848424\pi\)
0.888747 0.458397i \(-0.151576\pi\)
\(422\) −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 0.0509336 0.998702i \(-0.483780\pi\)
−0.670174 + 0.742204i \(0.733780\pi\)
\(432\) −1.70294e11 + 4.11127e11i −0.235247 + 0.567935i
\(433\) 5.71613e11 5.71613e11i 0.781460 0.781460i −0.198617 0.980077i \(-0.563645\pi\)
0.980077 + 0.198617i \(0.0636451\pi\)
\(434\) −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 −0.746733 0.665124i \(-0.768379\pi\)
−0.0577067 + 0.998334i \(0.518379\pi\)
\(440\) 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 0.257051 + 0.966398i \(0.417249\pi\)
−0.865109 + 0.501584i \(0.832751\pi\)
\(450\) 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 0.937989 0.346664i \(-0.112686\pi\)
−0.346664 + 0.937989i \(0.612686\pi\)
\(458\) 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 0.383497 0.923542i \(-0.374720\pi\)
−0.923542 + 0.383497i \(0.874720\pi\)
\(462\) 1.41522e10 5.86205e9i 0.0144523 0.00598633i
\(463\) 3.53227e9i 0.00357223i −0.999998 0.00178611i \(-0.999431\pi\)
0.999998 0.00178611i \(-0.000568538\pi\)
\(464\) 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 −0.864816 0.502090i \(-0.832565\pi\)
0.502090 + 0.864816i \(0.332565\pi\)
\(468\) −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 0.167874 0.985809i \(-0.446310\pi\)
0.815776 + 0.578367i \(0.196310\pi\)
\(480\) 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 0.164040 0.986454i \(-0.447547\pi\)
−0.581534 + 0.813522i \(0.697547\pi\)
\(488\) 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 0.988853 0.148897i \(-0.0475722\pi\)
−0.148897 + 0.988853i \(0.547572\pi\)
\(492\) 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 −0.268855 0.963181i \(-0.586645\pi\)
−0.871181 + 0.490963i \(0.836645\pi\)
\(500\) 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 0.638743 + 0.769420i \(0.279455\pi\)
−0.995722 + 0.0924022i \(0.970545\pi\)
\(504\) 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 0.789930 0.613197i \(-0.210117\pi\)
0.124969 + 0.992161i \(0.460117\pi\)
\(522\) −6.48910e10 1.56661e11i −0.0382532 0.0923513i
\(523\) 1.76906e12i 1.03392i −0.856010 0.516959i \(-0.827064\pi\)
0.856010 0.516959i \(-0.172936\pi\)
\(524\) −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 −0.897819 0.440364i \(-0.854849\pi\)
−0.323469 + 0.946239i \(0.604849\pi\)
\(542\) 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 −0.0490422 0.998797i \(-0.515617\pi\)
0.671578 + 0.740934i \(0.265617\pi\)
\(548\) 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 \(0.341125\pi\)
−0.478655 + 0.878003i \(0.658875\pi\)
\(558\) −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 0.915633 0.402016i \(-0.131690\pi\)
−0.402016 + 0.915633i \(0.631690\pi\)
\(564\) 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 −0.530528 0.847667i \(-0.678006\pi\)
0.847667 + 0.530528i \(0.178006\pi\)
\(570\) 6.40162e10 6.40162e10i 0.0254011 0.0254011i
\(571\) 1.66959e12 4.03074e12i 0.657275 1.58680i −0.144721 0.989472i \(-0.546229\pi\)
0.801996 0.597329i \(-0.203771\pi\)
\(572\) −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 −0.447877 0.894095i \(-0.647820\pi\)
0.894095 + 0.447877i \(0.147820\pi\)
\(588\) −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 0.395491 0.918470i \(-0.370574\pi\)
−0.918470 + 0.395491i \(0.870574\pi\)
\(594\) 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 \(-0.861391\pi\)
0.906679 0.421822i \(-0.138609\pi\)
\(600\) −8.80115e10 2.12478e11i −0.0277242 0.0669321i
\(601\) −2.42760e11 1.00555e11i −0.0759002 0.0314389i 0.344410 0.938819i \(-0.388079\pi\)
−0.420311 + 0.907380i \(0.638079\pi\)
\(602\) −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 0.971368 + 0.237580i \(0.0763540\pi\)
−0.518867 + 0.854855i \(0.673646\pi\)
\(608\) 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 0.933742 0.357946i \(-0.116523\pi\)
−0.913361 + 0.407150i \(0.866523\pi\)
\(618\) 7.06892e9 + 2.92804e9i 0.00194942 + 0.000807475i
\(619\) 7.57422e11 1.82858e12i 0.207362 0.500617i −0.785644 0.618679i \(-0.787668\pi\)
0.993006 + 0.118062i \(0.0376682\pi\)
\(620\) −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 0.994672 0.103094i \(-0.0328743\pi\)
−0.103094 + 0.994672i \(0.532874\pi\)
\(632\) −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 0.994367 + 0.105996i \(0.0338031\pi\)
−0.628173 + 0.778074i \(0.716197\pi\)
\(642\) 1.65226e11i 0.0383858i
\(643\) −5.77650e12 + 2.39270e12i −1.33265 + 0.552000i −0.931409 0.363974i \(-0.881420\pi\)
−0.401238 + 0.915974i \(0.631420\pi\)
\(644\) 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 −0.999980 0.00637853i \(-0.997970\pi\)
0.711603 + 0.702582i \(0.247970\pi\)
\(654\) −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 \(-0.853549\pi\)
0.896013 0.444028i \(-0.146451\pi\)
\(660\) 1.10978e12 4.59684e11i 0.227660 0.0943000i
\(661\) −5.33559e11 5.33559e11i −0.108712 0.108712i 0.650659 0.759370i \(-0.274493\pi\)
−0.759370 + 0.650659i \(0.774493\pi\)
\(662\) −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 −0.963900 0.266264i \(-0.914211\pi\)
0.869858 + 0.493303i \(0.164211\pi\)
\(674\) 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 −0.471460 0.881887i \(-0.656273\pi\)
0.290216 + 0.956961i \(0.406273\pi\)
\(678\) −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 −0.682772 0.730632i \(-0.739226\pi\)
0.0338420 + 0.999427i \(0.489226\pi\)
\(684\) 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 −0.348236 0.937407i \(-0.613219\pi\)
−0.909087 + 0.416606i \(0.863219\pi\)
\(692\) 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 \(-0.920416\pi\)
0.968908 0.247423i \(-0.0795837\pi\)
\(702\) −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 0.955407 0.295293i \(-0.0954173\pi\)
−0.884378 + 0.466771i \(0.845417\pi\)
\(710\) 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 0.984968 0.172738i \(-0.0552615\pi\)
−0.818622 + 0.574333i \(0.805261\pi\)
\(720\) 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 \(-0.960586\pi\)
0.992344 0.123505i \(-0.0394136\pi\)
\(728\) 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 0.806982 0.590576i \(-0.201100\pi\)
−0.590576 + 0.806982i \(0.701100\pi\)
\(734\) 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 −0.594427 0.804149i \(-0.702621\pi\)
0.804149 + 0.594427i \(0.202621\pi\)
\(740\) −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 0.954642 0.297757i \(-0.0962385\pi\)
−0.885580 + 0.464488i \(0.846238\pi\)
\(744\) 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 −0.918967 0.394335i \(-0.870975\pi\)
−0.370971 + 0.928645i \(0.620975\pi\)
\(752\) 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 −0.310498 0.950574i \(-0.600496\pi\)
0.950574 + 0.310498i \(0.100496\pi\)
\(758\) 3.47924e11 8.39963e11i 0.0382801 0.0924163i
\(759\) 5.03075e12 + 2.08380e12i 0.550230 + 0.227913i