Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 104960 x^{14} - 3899480 x^{13} + 8040649724 x^{12} - 270026959304 x^{11} + \cdots + 13\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3^{5}\cdot 19^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(95.0097 + 164.562i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.7 |
Dual form | 38.10.c.b.11.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.00000 | − | 13.8564i | −0.353553 | − | 0.612372i | ||||
\(3\) | −90.5097 | − | 156.767i | −0.645133 | − | 1.11740i | −0.984271 | − | 0.176667i | \(-0.943469\pi\) |
0.339138 | − | 0.940737i | \(-0.389865\pi\) | |||||||
\(4\) | −128.000 | + | 221.703i | −0.250000 | + | 0.433013i | ||||
\(5\) | −153.299 | − | 265.521i | −0.109692 | − | 0.189991i | 0.805954 | − | 0.591979i | \(-0.201653\pi\) |
−0.915645 | + | 0.401987i | \(0.868320\pi\) | |||||||
\(6\) | −1448.15 | + | 2508.28i | −0.456178 | + | 0.790124i | ||||
\(7\) | 12144.4 | 1.91177 | 0.955886 | − | 0.293739i | \(-0.0948995\pi\) | ||||
0.955886 | + | 0.293739i | \(0.0948995\pi\) | |||||||
\(8\) | 4096.00 | 0.353553 | ||||||||
\(9\) | −6542.50 | + | 11331.9i | −0.332394 | + | 0.575723i | ||||
\(10\) | −2452.78 | + | 4248.34i | −0.0775637 | + | 0.134344i | ||||
\(11\) | 87436.0 | 1.80062 | 0.900312 | − | 0.435244i | \(-0.143338\pi\) | ||||
0.900312 | + | 0.435244i | \(0.143338\pi\) | |||||||
\(12\) | 46341.0 | 0.645133 | ||||||||
\(13\) | 29945.0 | − | 51866.3i | 0.290790 | − | 0.503663i | −0.683207 | − | 0.730225i | \(-0.739415\pi\) |
0.973997 | + | 0.226562i | \(0.0727486\pi\) | |||||||
\(14\) | −97155.4 | − | 168278.i | −0.675913 | − | 1.17072i | ||||
\(15\) | −27750.0 | + | 48064.5i | −0.141531 | + | 0.245140i | ||||
\(16\) | −32768.0 | − | 56755.8i | −0.125000 | − | 0.216506i | ||||
\(17\) | 153136. | + | 265240.i | 0.444690 | + | 0.770226i | 0.998031 | − | 0.0627291i | \(-0.0199804\pi\) |
−0.553340 | + | 0.832955i | \(0.686647\pi\) | |||||||
\(18\) | 209360. | 0.470075 | ||||||||
\(19\) | −83806.8 | + | 561840.i | −0.147533 | + | 0.989057i | ||||
\(20\) | 78488.9 | 0.109692 | ||||||||
\(21\) | −1.09919e6 | − | 1.90385e6i | −1.23335 | − | 2.13622i | ||||
\(22\) | −699488. | − | 1.21155e6i | −0.636617 | − | 1.10265i | ||||
\(23\) | −291057. | + | 504126.i | −0.216872 | + | 0.375633i | −0.953850 | − | 0.300284i | \(-0.902919\pi\) |
0.736978 | + | 0.675916i | \(0.236252\pi\) | |||||||
\(24\) | −370728. | − | 642119.i | −0.228089 | − | 0.395062i | ||||
\(25\) | 929562. | − | 1.61005e6i | 0.475935 | − | 0.824344i | ||||
\(26\) | −958240. | −0.411239 | ||||||||
\(27\) | −1.19436e6 | −0.432514 | ||||||||
\(28\) | −1.55449e6 | + | 2.69245e6i | −0.477943 | + | 0.827821i | ||||
\(29\) | 990512. | − | 1.71562e6i | 0.260057 | − | 0.450432i | −0.706200 | − | 0.708013i | \(-0.749592\pi\) |
0.966257 | + | 0.257581i | \(0.0829253\pi\) | |||||||
\(30\) | 888001. | 0.200156 | ||||||||
\(31\) | 5.90182e6 | 1.14778 | 0.573889 | − | 0.818933i | \(-0.305434\pi\) | ||||
0.573889 | + | 0.818933i | \(0.305434\pi\) | |||||||
\(32\) | −524288. | + | 908093.i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −7.91380e6 | − | 1.37071e7i | −1.16164 | − | 2.01202i | ||||
\(34\) | 2.45018e6 | − | 4.24383e6i | 0.314444 | − | 0.544632i | ||||
\(35\) | −1.86173e6 | − | 3.22460e6i | −0.209705 | − | 0.363220i | ||||
\(36\) | −1.67488e6 | − | 2.90098e6i | −0.166197 | − | 0.287861i | ||||
\(37\) | 52770.8 | 0.00462899 | 0.00231449 | − | 0.999997i | \(-0.499263\pi\) | ||||
0.00231449 | + | 0.999997i | \(0.499263\pi\) | |||||||
\(38\) | 8.45554e6 | − | 3.33346e6i | 0.657832 | − | 0.259340i | ||||
\(39\) | −1.08412e7 | −0.750393 | ||||||||
\(40\) | −627912. | − | 1.08757e6i | −0.0387818 | − | 0.0671721i | ||||
\(41\) | −5.83277e6 | − | 1.01027e7i | −0.322365 | − | 0.558352i | 0.658611 | − | 0.752484i | \(-0.271144\pi\) |
−0.980975 | + | 0.194132i | \(0.937811\pi\) | |||||||
\(42\) | −1.75870e7 | + | 3.04616e7i | −0.872108 | + | 1.51054i | ||||
\(43\) | −1.82907e6 | − | 3.16803e6i | −0.0815870 | − | 0.141313i | 0.822345 | − | 0.568990i | \(-0.192666\pi\) |
−0.903932 | + | 0.427677i | \(0.859332\pi\) | |||||||
\(44\) | −1.11918e7 | + | 1.93848e7i | −0.450156 | + | 0.779693i | ||||
\(45\) | 4.01183e6 | 0.145843 | ||||||||
\(46\) | 9.31383e6 | 0.306703 | ||||||||
\(47\) | 6.79982e6 | − | 1.17776e7i | 0.203262 | − | 0.352061i | −0.746315 | − | 0.665593i | \(-0.768179\pi\) |
0.949578 | + | 0.313532i | \(0.101512\pi\) | |||||||
\(48\) | −5.93164e6 | + | 1.02739e7i | −0.161283 | + | 0.279351i | ||||
\(49\) | 1.07134e8 | 2.65487 | ||||||||
\(50\) | −2.97460e7 | −0.673074 | ||||||||
\(51\) | 2.77206e7 | − | 4.80135e7i | 0.573769 | − | 0.993797i | ||||
\(52\) | 7.66592e6 | + | 1.32778e7i | 0.145395 | + | 0.251831i | ||||
\(53\) | −4.60203e7 | + | 7.97095e7i | −0.801140 | + | 1.38761i | 0.117727 | + | 0.993046i | \(0.462439\pi\) |
−0.918866 | + | 0.394569i | \(0.870894\pi\) | |||||||
\(54\) | 9.55492e6 | + | 1.65496e7i | 0.152917 | + | 0.264860i | ||||
\(55\) | −1.34038e7 | − | 2.32161e7i | −0.197513 | − | 0.342103i | ||||
\(56\) | 4.97436e7 | 0.675913 | ||||||||
\(57\) | 9.56635e7 | − | 3.77138e7i | 1.20035 | − | 0.473220i | ||||
\(58\) | −3.16964e7 | −0.367776 | ||||||||
\(59\) | 6.58060e7 | + | 1.13979e8i | 0.707020 | + | 1.22459i | 0.965958 | + | 0.258700i | \(0.0832943\pi\) |
−0.258938 | + | 0.965894i | \(0.583372\pi\) | |||||||
\(60\) | −7.10401e6 | − | 1.23045e7i | −0.0707657 | − | 0.122570i | ||||
\(61\) | −8.63591e7 | + | 1.49578e8i | −0.798590 | + | 1.38320i | 0.121945 | + | 0.992537i | \(0.461087\pi\) |
−0.920535 | + | 0.390661i | \(0.872246\pi\) | |||||||
\(62\) | −4.72145e7 | − | 8.17780e7i | −0.405801 | − | 0.702868i | ||||
\(63\) | −7.94550e7 | + | 1.37620e8i | −0.635461 | + | 1.10065i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | −1.83621e7 | −0.127589 | ||||||||
\(66\) | −1.26621e8 | + | 2.19314e8i | −0.821406 | + | 1.42272i | ||||
\(67\) | 9.56343e7 | − | 1.65643e8i | 0.579798 | − | 1.00424i | −0.415704 | − | 0.909500i | \(-0.636465\pi\) |
0.995502 | − | 0.0947400i | \(-0.0302020\pi\) | |||||||
\(68\) | −7.84057e7 | −0.444690 | ||||||||
\(69\) | 1.05374e8 | 0.559644 | ||||||||
\(70\) | −2.97876e7 | + | 5.15937e7i | −0.148284 | + | 0.256836i | ||||
\(71\) | −6.93717e7 | − | 1.20155e8i | −0.323981 | − | 0.561152i | 0.657324 | − | 0.753608i | \(-0.271688\pi\) |
−0.981306 | + | 0.192456i | \(0.938355\pi\) | |||||||
\(72\) | −2.67981e7 | + | 4.64157e7i | −0.117519 | + | 0.203549i | ||||
\(73\) | −2.01562e8 | − | 3.49116e8i | −0.830723 | − | 1.43885i | −0.897465 | − | 0.441085i | \(-0.854594\pi\) |
0.0667422 | − | 0.997770i | \(-0.478739\pi\) | |||||||
\(74\) | −422167. | − | 731214.i | −0.00163659 | − | 0.00283466i | ||||
\(75\) | −3.36537e8 | −1.22817 | ||||||||
\(76\) | −1.13834e8 | − | 9.04957e7i | −0.391391 | − | 0.311148i | ||||
\(77\) | 1.06186e9 | 3.44238 | ||||||||
\(78\) | 8.67300e7 | + | 1.50221e8i | 0.265304 | + | 0.459520i | ||||
\(79\) | −2.86752e8 | − | 4.96669e8i | −0.828294 | − | 1.43465i | −0.899376 | − | 0.437177i | \(-0.855978\pi\) |
0.0710819 | − | 0.997470i | \(-0.477355\pi\) | |||||||
\(80\) | −1.00466e7 | + | 1.74012e7i | −0.0274229 | + | 0.0474979i | ||||
\(81\) | 2.36878e8 | + | 4.10284e8i | 0.611423 | + | 1.05902i | ||||
\(82\) | −9.33243e7 | + | 1.61642e8i | −0.227946 | + | 0.394814i | ||||
\(83\) | −1.71610e8 | −0.396910 | −0.198455 | − | 0.980110i | \(-0.563592\pi\) | ||||
−0.198455 | + | 0.980110i | \(0.563592\pi\) | |||||||
\(84\) | 5.62785e8 | 1.23335 | ||||||||
\(85\) | 4.69512e7 | − | 8.13218e7i | 0.0975576 | − | 0.168975i | ||||
\(86\) | −2.92650e7 | + | 5.06885e7i | −0.0576907 | + | 0.0999233i | ||||
\(87\) | −3.58604e8 | −0.671086 | ||||||||
\(88\) | 3.58138e8 | 0.636617 | ||||||||
\(89\) | −1.32019e7 | + | 2.28664e7i | −0.0223040 | + | 0.0386316i | −0.876962 | − | 0.480560i | \(-0.840433\pi\) |
0.854658 | + | 0.519191i | \(0.173767\pi\) | |||||||
\(90\) | −3.20946e7 | − | 5.55895e7i | −0.0515633 | − | 0.0893103i | ||||
\(91\) | 3.63665e8 | − | 6.29886e8i | 0.555924 | − | 0.962888i | ||||
\(92\) | −7.45106e7 | − | 1.29056e8i | −0.108436 | − | 0.187816i | ||||
\(93\) | −5.34172e8 | − | 9.25212e8i | −0.740470 | − | 1.28253i | ||||
\(94\) | −2.17594e8 | −0.287457 | ||||||||
\(95\) | 1.62028e8 | − | 6.38768e7i | 0.204096 | − | 0.0804613i | ||||
\(96\) | 1.89813e8 | 0.228089 | ||||||||
\(97\) | −1.87150e8 | − | 3.24153e8i | −0.214643 | − | 0.371773i | 0.738519 | − | 0.674233i | \(-0.235525\pi\) |
−0.953162 | + | 0.302460i | \(0.902192\pi\) | |||||||
\(98\) | −8.57069e8 | − | 1.48449e9i | −0.938638 | − | 1.62577i | ||||
\(99\) | −5.72050e8 | + | 9.90820e8i | −0.598516 | + | 1.03666i | ||||
\(100\) | 2.37968e8 | + | 4.12172e8i | 0.237968 | + | 0.412172i | ||||
\(101\) | −1.62087e8 | + | 2.80743e8i | −0.154989 | + | 0.268449i | −0.933055 | − | 0.359733i | \(-0.882868\pi\) |
0.778066 | + | 0.628183i | \(0.216201\pi\) | |||||||
\(102\) | −8.87060e8 | −0.811432 | ||||||||
\(103\) | 3.48366e8 | 0.304977 | 0.152489 | − | 0.988305i | \(-0.451271\pi\) | ||||
0.152489 | + | 0.988305i | \(0.451271\pi\) | |||||||
\(104\) | 1.22655e8 | − | 2.12444e8i | 0.102810 | − | 0.178072i | ||||
\(105\) | −3.37008e8 | + | 5.83716e8i | −0.270576 | + | 0.468651i | ||||
\(106\) | 1.47265e9 | 1.13298 | ||||||||
\(107\) | −1.67193e9 | −1.23308 | −0.616541 | − | 0.787323i | \(-0.711466\pi\) | ||||
−0.616541 | + | 0.787323i | \(0.711466\pi\) | |||||||
\(108\) | 1.52879e8 | − | 2.64794e8i | 0.108128 | − | 0.187284i | ||||
\(109\) | 6.08133e8 | + | 1.05332e9i | 0.412648 | + | 0.714727i | 0.995178 | − | 0.0980818i | \(-0.0312707\pi\) |
−0.582531 | + | 0.812809i | \(0.697937\pi\) | |||||||
\(110\) | −2.14461e8 | + | 3.71458e8i | −0.139663 | + | 0.241904i | ||||
\(111\) | −4.77627e6 | − | 8.27274e6i | −0.00298631 | − | 0.00517245i | ||||
\(112\) | −3.97949e8 | − | 6.89267e8i | −0.238971 | − | 0.413911i | ||||
\(113\) | −2.77450e9 | −1.60078 | −0.800390 | − | 0.599480i | \(-0.795374\pi\) | ||||
−0.800390 | + | 0.599480i | \(0.795374\pi\) | |||||||
\(114\) | −1.28789e9 | − | 1.02384e9i | −0.714176 | − | 0.567755i | ||||
\(115\) | 1.78475e8 | 0.0951560 | ||||||||
\(116\) | 2.53571e8 | + | 4.39198e8i | 0.130029 | + | 0.225216i | ||||
\(117\) | 3.91830e8 | + | 6.78670e8i | 0.193313 | + | 0.334829i | ||||
\(118\) | 1.05290e9 | − | 1.82367e9i | 0.499939 | − | 0.865919i | ||||
\(119\) | 1.85975e9 | + | 3.22118e9i | 0.850146 | + | 1.47250i | ||||
\(120\) | −1.13664e8 | + | 1.96872e8i | −0.0500389 | + | 0.0866699i | ||||
\(121\) | 5.28711e9 | 2.24225 | ||||||||
\(122\) | 2.76349e9 | 1.12938 | ||||||||
\(123\) | −1.05584e9 | + | 1.82878e9i | −0.415936 | + | 0.720423i | ||||
\(124\) | −7.55433e8 | + | 1.30845e9i | −0.286945 | + | 0.497003i | ||||
\(125\) | −1.16883e9 | −0.428208 | ||||||||
\(126\) | 2.54256e9 | 0.898677 | ||||||||
\(127\) | 7.18398e8 | − | 1.24430e9i | 0.245046 | − | 0.424433i | −0.717098 | − | 0.696972i | \(-0.754530\pi\) |
0.962145 | + | 0.272539i | \(0.0878635\pi\) | |||||||
\(128\) | −1.34218e8 | − | 2.32472e8i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −3.31096e8 | + | 5.73475e8i | −0.105269 | + | 0.182331i | ||||
\(130\) | 1.46897e8 | + | 2.54433e8i | 0.0451095 | + | 0.0781319i | ||||
\(131\) | 1.40328e9 | + | 2.43055e9i | 0.416315 | + | 0.721079i | 0.995566 | − | 0.0940707i | \(-0.0299880\pi\) |
−0.579250 | + | 0.815150i | \(0.696655\pi\) | |||||||
\(132\) | 4.05187e9 | 1.16164 | ||||||||
\(133\) | −1.01779e9 | + | 6.82323e9i | −0.282049 | + | 1.89085i | ||||
\(134\) | −3.06030e9 | −0.819959 | ||||||||
\(135\) | 1.83095e8 | + | 3.17129e8i | 0.0474432 | + | 0.0821740i | ||||
\(136\) | 6.27246e8 | + | 1.08642e9i | 0.157222 | + | 0.272316i | ||||
\(137\) | 4.41654e8 | − | 7.64967e8i | 0.107112 | − | 0.185524i | −0.807487 | − | 0.589886i | \(-0.799173\pi\) |
0.914599 | + | 0.404361i | \(0.132506\pi\) | |||||||
\(138\) | −8.42991e8 | − | 1.46010e9i | −0.197864 | − | 0.342711i | ||||
\(139\) | −3.01727e8 | + | 5.22606e8i | −0.0685563 | + | 0.118743i | −0.898266 | − | 0.439452i | \(-0.855173\pi\) |
0.829710 | + | 0.558195i | \(0.188506\pi\) | |||||||
\(140\) | 9.53203e8 | 0.209705 | ||||||||
\(141\) | −2.46180e9 | −0.524525 | ||||||||
\(142\) | −1.10995e9 | + | 1.92249e9i | −0.229089 | + | 0.396794i | ||||
\(143\) | 2.61827e9 | − | 4.53498e9i | 0.523603 | − | 0.906908i | ||||
\(144\) | 8.57539e8 | 0.166197 | ||||||||
\(145\) | −6.07377e8 | −0.114104 | ||||||||
\(146\) | −3.22500e9 | + | 5.58586e9i | −0.587410 | + | 1.01742i | ||||
\(147\) | −9.69663e9 | − | 1.67951e10i | −1.71274 | − | 2.96656i | ||||
\(148\) | −6.75466e6 | + | 1.16994e7i | −0.00115725 | + | 0.00200441i | ||||
\(149\) | −2.33119e9 | − | 4.03774e9i | −0.387471 | − | 0.671120i | 0.604638 | − | 0.796501i | \(-0.293318\pi\) |
−0.992109 | + | 0.125381i | \(0.959985\pi\) | |||||||
\(150\) | 2.69230e9 | + | 4.66320e9i | 0.434223 | + | 0.752096i | ||||
\(151\) | 2.99618e9 | 0.468999 | 0.234500 | − | 0.972116i | \(-0.424655\pi\) | ||||
0.234500 | + | 0.972116i | \(0.424655\pi\) | |||||||
\(152\) | −3.43273e8 | + | 2.30130e9i | −0.0521607 | + | 0.349685i | ||||
\(153\) | −4.00757e9 | −0.591249 | ||||||||
\(154\) | −8.49488e9 | − | 1.47136e10i | −1.21707 | − | 2.10802i | ||||
\(155\) | −9.04741e8 | − | 1.56706e9i | −0.125902 | − | 0.218068i | ||||
\(156\) | 1.38768e9 | − | 2.40353e9i | 0.187598 | − | 0.324930i | ||||
\(157\) | 1.58313e9 | + | 2.74207e9i | 0.207955 | + | 0.360189i | 0.951070 | − | 0.308975i | \(-0.0999859\pi\) |
−0.743115 | + | 0.669163i | \(0.766653\pi\) | |||||||
\(158\) | −4.58803e9 | + | 7.94670e9i | −0.585692 | + | 1.01445i | ||||
\(159\) | 1.66611e10 | 2.06737 | ||||||||
\(160\) | 3.21491e8 | 0.0387818 | ||||||||
\(161\) | −3.53472e9 | + | 6.12232e9i | −0.414609 | + | 0.718124i | ||||
\(162\) | 3.79004e9 | − | 6.56455e9i | 0.432341 | − | 0.748837i | ||||
\(163\) | −7.08152e9 | −0.785747 | −0.392873 | − | 0.919593i | \(-0.628519\pi\) | ||||
−0.392873 | + | 0.919593i | \(0.628519\pi\) | |||||||
\(164\) | 2.98638e9 | 0.322365 | ||||||||
\(165\) | −2.42635e9 | + | 4.20257e9i | −0.254845 | + | 0.441404i | ||||
\(166\) | 1.37288e9 | + | 2.37790e9i | 0.140329 | + | 0.243057i | ||||
\(167\) | −2.35587e9 | + | 4.08048e9i | −0.234383 | + | 0.405964i | −0.959093 | − | 0.283090i | \(-0.908640\pi\) |
0.724710 | + | 0.689054i | \(0.241974\pi\) | |||||||
\(168\) | −4.50228e9 | − | 7.79817e9i | −0.436054 | − | 0.755268i | ||||
\(169\) | 3.50884e9 | + | 6.07750e9i | 0.330883 | + | 0.573105i | ||||
\(170\) | −1.50244e9 | −0.137967 | ||||||||
\(171\) | −5.81843e9 | − | 4.62553e9i | −0.520384 | − | 0.413694i | ||||
\(172\) | 9.36481e8 | 0.0815870 | ||||||||
\(173\) | −5.65438e8 | − | 9.79368e8i | −0.0479930 | − | 0.0831263i | 0.841031 | − | 0.540987i | \(-0.181949\pi\) |
−0.889024 | + | 0.457861i | \(0.848616\pi\) | |||||||
\(174\) | 2.86883e9 | + | 4.96896e9i | 0.237265 | + | 0.410954i | ||||
\(175\) | 1.12890e10 | − | 1.95531e10i | 0.909880 | − | 1.57596i | ||||
\(176\) | −2.86510e9 | − | 4.96250e9i | −0.225078 | − | 0.389847i | ||||
\(177\) | 1.19122e10 | − | 2.06325e10i | 0.912244 | − | 1.58005i | ||||
\(178\) | 4.22461e8 | 0.0315426 | ||||||||
\(179\) | −2.05704e10 | −1.49763 | −0.748813 | − | 0.662782i | \(-0.769376\pi\) | ||||
−0.748813 | + | 0.662782i | \(0.769376\pi\) | |||||||
\(180\) | −5.13514e8 | + | 8.89432e8i | −0.0364608 | + | 0.0631519i | ||||
\(181\) | 8.08851e9 | − | 1.40097e10i | 0.560164 | − | 0.970232i | −0.437318 | − | 0.899307i | \(-0.644072\pi\) |
0.997482 | − | 0.0709249i | \(-0.0225951\pi\) | |||||||
\(182\) | −1.16373e10 | −0.786195 | ||||||||
\(183\) | 3.12653e10 | 2.06079 | ||||||||
\(184\) | −1.19217e9 | + | 2.06490e9i | −0.0766757 | + | 0.132806i | ||||
\(185\) | −8.08970e6 | − | 1.40118e7i | −0.000507761 | − | 0.000879468i | ||||
\(186\) | −8.54675e9 | + | 1.48034e10i | −0.523591 | + | 0.906887i | ||||
\(187\) | 1.33896e10 | + | 2.31915e10i | 0.800720 | + | 1.38689i | ||||
\(188\) | 1.74075e9 | + | 3.01507e9i | 0.101631 | + | 0.176030i | ||||
\(189\) | −1.45049e10 | −0.826868 | ||||||||
\(190\) | −2.18133e9 | − | 1.73411e9i | −0.121431 | − | 0.0965351i | ||||
\(191\) | −7.66426e9 | −0.416697 | −0.208348 | − | 0.978055i | \(-0.566809\pi\) | ||||
−0.208348 | + | 0.978055i | \(0.566809\pi\) | |||||||
\(192\) | −1.51850e9 | − | 2.63012e9i | −0.0806416 | − | 0.139675i | ||||
\(193\) | 9.27790e8 | + | 1.60698e9i | 0.0481329 | + | 0.0833686i | 0.889088 | − | 0.457736i | \(-0.151340\pi\) |
−0.840955 | + | 0.541105i | \(0.818006\pi\) | |||||||
\(194\) | −2.99440e9 | + | 5.18645e9i | −0.151776 | + | 0.262883i | ||||
\(195\) | 1.66195e9 | + | 2.87858e9i | 0.0823118 | + | 0.142568i | ||||
\(196\) | −1.37131e10 | + | 2.37518e10i | −0.663718 | + | 1.14959i | ||||
\(197\) | 2.15617e10 | 1.01996 | 0.509981 | − | 0.860186i | \(-0.329652\pi\) | ||||
0.509981 | + | 0.860186i | \(0.329652\pi\) | |||||||
\(198\) | 1.83056e10 | 0.846430 | ||||||||
\(199\) | −4.80724e9 | + | 8.32638e9i | −0.217299 | + | 0.376372i | −0.953981 | − | 0.299866i | \(-0.903058\pi\) |
0.736683 | + | 0.676239i | \(0.236391\pi\) | |||||||
\(200\) | 3.80748e9 | − | 6.59476e9i | 0.168269 | − | 0.291450i | ||||
\(201\) | −3.46233e10 | −1.49619 | ||||||||
\(202\) | 5.18678e9 | 0.219188 | ||||||||
\(203\) | 1.20292e10 | − | 2.08352e10i | 0.497170 | − | 0.861123i | ||||
\(204\) | 7.09648e9 | + | 1.22915e10i | 0.286884 | + | 0.496898i | ||||
\(205\) | −1.78831e9 | + | 3.09745e9i | −0.0707214 | + | 0.122493i | ||||
\(206\) | −2.78692e9 | − | 4.82709e9i | −0.107826 | − | 0.186760i | ||||
\(207\) | −3.80848e9 | − | 6.59649e9i | −0.144173 | − | 0.249716i | ||||
\(208\) | −3.92495e9 | −0.145395 | ||||||||
\(209\) | −7.32774e9 | + | 4.91250e10i | −0.265651 | + | 1.78092i | ||||
\(210\) | 1.07843e10 | 0.382652 | ||||||||
\(211\) | −1.79930e10 | − | 3.11648e10i | −0.624932 | − | 1.08241i | −0.988554 | − | 0.150868i | \(-0.951793\pi\) |
0.363622 | − | 0.931547i | \(-0.381540\pi\) | |||||||
\(212\) | −1.17812e10 | − | 2.04056e10i | −0.400570 | − | 0.693807i | ||||
\(213\) | −1.25576e10 | + | 2.17504e10i | −0.418022 | + | 0.724036i | ||||
\(214\) | 1.33755e10 | + | 2.31670e10i | 0.435960 | + | 0.755105i | ||||
\(215\) | −5.60787e8 | + | 9.71311e8i | −0.0178988 | + | 0.0310017i | ||||
\(216\) | −4.89212e9 | −0.152917 | ||||||||
\(217\) | 7.16742e10 | 2.19429 | ||||||||
\(218\) | 9.73013e9 | − | 1.68531e10i | 0.291786 | − | 0.505388i | ||||
\(219\) | −3.64867e10 | + | 6.31968e10i | −1.07185 | + | 1.85651i | ||||
\(220\) | 6.86276e9 | 0.197513 | ||||||||
\(221\) | 1.83427e10 | 0.517246 | ||||||||
\(222\) | −7.64203e7 | + | 1.32364e8i | −0.00211164 | + | 0.00365747i | ||||
\(223\) | −7.71262e9 | − | 1.33587e10i | −0.208848 | − | 0.361735i | 0.742504 | − | 0.669842i | \(-0.233638\pi\) |
−0.951352 | + | 0.308106i | \(0.900305\pi\) | |||||||
\(224\) | −6.36718e9 | + | 1.10283e10i | −0.168978 | + | 0.292679i | ||||
\(225\) | 1.21633e10 | + | 2.10675e10i | 0.316396 | + | 0.548014i | ||||
\(226\) | 2.21960e10 | + | 3.84446e10i | 0.565961 | + | 0.980273i | ||||
\(227\) | 2.00791e10 | 0.501911 | 0.250956 | − | 0.967999i | \(-0.419255\pi\) | ||||
0.250956 | + | 0.967999i | \(0.419255\pi\) | |||||||
\(228\) | −3.88369e9 | + | 2.60362e10i | −0.0951782 | + | 0.638074i | ||||
\(229\) | 8.20193e10 | 1.97086 | 0.985432 | − | 0.170071i | \(-0.0543998\pi\) | ||||
0.985432 | + | 0.170071i | \(0.0543998\pi\) | |||||||
\(230\) | −1.42780e9 | − | 2.47302e9i | −0.0336427 | − | 0.0582709i | ||||
\(231\) | −9.61087e10 | − | 1.66465e11i | −2.22080 | − | 3.84653i | ||||
\(232\) | 4.05714e9 | − | 7.02717e9i | 0.0919441 | − | 0.159252i | ||||
\(233\) | 2.64808e10 | + | 4.58660e10i | 0.588612 | + | 1.01951i | 0.994415 | + | 0.105545i | \(0.0336586\pi\) |
−0.405803 | + | 0.913961i | \(0.633008\pi\) | |||||||
\(234\) | 6.26929e9 | − | 1.08587e10i | 0.136693 | − | 0.236760i | ||||
\(235\) | −4.16962e9 | −0.0891848 | ||||||||
\(236\) | −3.36927e10 | −0.707020 | ||||||||
\(237\) | −5.19076e10 | + | 8.99067e10i | −1.06872 | + | 1.85108i | ||||
\(238\) | 2.97560e10 | − | 5.15390e10i | 0.601144 | − | 1.04121i | ||||
\(239\) | −6.81327e10 | −1.35072 | −0.675360 | − | 0.737489i | \(-0.736012\pi\) | ||||
−0.675360 | + | 0.737489i | \(0.736012\pi\) | |||||||
\(240\) | 3.63725e9 | 0.0707657 | ||||||||
\(241\) | −1.27047e10 | + | 2.20053e10i | −0.242599 | + | 0.420194i | −0.961454 | − | 0.274966i | \(-0.911333\pi\) |
0.718855 | + | 0.695160i | \(0.244667\pi\) | |||||||
\(242\) | −4.22969e10 | − | 7.32603e10i | −0.792755 | − | 1.37309i | ||||
\(243\) | 3.11251e10 | − | 5.39102e10i | 0.572641 | − | 0.991843i | ||||
\(244\) | −2.21079e10 | − | 3.82920e10i | −0.399295 | − | 0.691599i | ||||
\(245\) | −1.64234e10 | − | 2.84462e10i | −0.291217 | − | 0.504403i | ||||
\(246\) | 3.37870e10 | 0.588223 | ||||||||
\(247\) | 2.66309e10 | + | 2.11710e10i | 0.455250 | + | 0.361915i | ||||
\(248\) | 2.41738e10 | 0.405801 | ||||||||
\(249\) | 1.55324e10 | + | 2.69029e10i | 0.256060 | + | 0.443508i | ||||
\(250\) | 9.35060e9 | + | 1.61957e10i | 0.151394 | + | 0.262223i | ||||
\(251\) | −4.54765e10 | + | 7.87677e10i | −0.723195 | + | 1.25261i | 0.236517 | + | 0.971627i | \(0.423994\pi\) |
−0.959712 | + | 0.280984i | \(0.909339\pi\) | |||||||
\(252\) | −2.03405e10 | − | 3.52307e10i | −0.317730 | − | 0.550325i | ||||
\(253\) | −2.54489e10 | + | 4.40787e10i | −0.390505 | + | 0.676374i | ||||
\(254\) | −2.29887e10 | −0.346548 | ||||||||
\(255\) | −1.69981e10 | −0.251751 | ||||||||
\(256\) | −2.14748e9 | + | 3.71955e9i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.50519e10 | − | 7.80321e10i | 0.644189 | − | 1.11577i | −0.340299 | − | 0.940317i | \(-0.610528\pi\) |
0.984488 | − | 0.175451i | \(-0.0561385\pi\) | |||||||
\(258\) | 1.05951e10 | 0.148873 | ||||||||
\(259\) | 6.40872e8 | 0.00884957 | ||||||||
\(260\) | 2.35035e9 | − | 4.07093e9i | 0.0318972 | − | 0.0552476i | ||||
\(261\) | 1.29609e10 | + | 2.24489e10i | 0.172883 | + | 0.299441i | ||||
\(262\) | 2.24524e10 | − | 3.88887e10i | 0.294379 | − | 0.509880i | ||||
\(263\) | −4.65556e10 | − | 8.06367e10i | −0.600028 | − | 1.03928i | −0.992816 | − | 0.119650i | \(-0.961823\pi\) |
0.392788 | − | 0.919629i | \(-0.371511\pi\) | |||||||
\(264\) | −3.24149e10 | − | 5.61443e10i | −0.410703 | − | 0.711358i | ||||
\(265\) | 2.82194e10 | 0.351513 | ||||||||
\(266\) | 1.02688e11 | − | 4.04829e10i | 1.25762 | − | 0.495798i | ||||
\(267\) | 4.77960e9 | 0.0575561 | ||||||||
\(268\) | 2.44824e10 | + | 4.24047e10i | 0.289899 | + | 0.502120i | ||||
\(269\) | 1.91710e10 | + | 3.32051e10i | 0.223233 | + | 0.386652i | 0.955788 | − | 0.294057i | \(-0.0950054\pi\) |
−0.732555 | + | 0.680708i | \(0.761672\pi\) | |||||||
\(270\) | 2.92951e9 | − | 5.07407e9i | 0.0335474 | − | 0.0581058i | ||||
\(271\) | 2.25079e10 | + | 3.89848e10i | 0.253497 | + | 0.439069i | 0.964486 | − | 0.264133i | \(-0.0850859\pi\) |
−0.710989 | + | 0.703203i | \(0.751753\pi\) | |||||||
\(272\) | 1.00359e10 | − | 1.73827e10i | 0.111173 | − | 0.192557i | ||||
\(273\) | −1.31661e11 | −1.43458 | ||||||||
\(274\) | −1.41329e10 | −0.151480 | ||||||||
\(275\) | 8.12772e10 | − | 1.40776e11i | 0.856981 | − | 1.48434i | ||||
\(276\) | −1.34879e10 | + | 2.33617e10i | −0.139911 | + | 0.242333i | ||||
\(277\) | 3.78550e10 | 0.386335 | 0.193167 | − | 0.981166i | \(-0.438124\pi\) | ||||
0.193167 | + | 0.981166i | \(0.438124\pi\) | |||||||
\(278\) | 9.65526e9 | 0.0969533 | ||||||||
\(279\) | −3.86127e10 | + | 6.68791e10i | −0.381514 | + | 0.660802i | ||||
\(280\) | −7.62563e9 | − | 1.32080e10i | −0.0741420 | − | 0.128418i | ||||
\(281\) | 7.60263e9 | − | 1.31681e10i | 0.0727421 | − | 0.125993i | −0.827360 | − | 0.561672i | \(-0.810158\pi\) |
0.900102 | + | 0.435679i | \(0.143492\pi\) | |||||||
\(282\) | 1.96944e10 | + | 3.41117e10i | 0.185448 | + | 0.321205i | ||||
\(283\) | −2.51671e9 | − | 4.35906e9i | −0.0233235 | − | 0.0403975i | 0.854128 | − | 0.520063i | \(-0.174091\pi\) |
−0.877452 | + | 0.479665i | \(0.840758\pi\) | |||||||
\(284\) | 3.55183e10 | 0.323981 | ||||||||
\(285\) | −2.46789e10 | − | 1.96192e10i | −0.221577 | − | 0.176149i | ||||
\(286\) | −8.37847e10 | −0.740487 | ||||||||
\(287\) | −7.08357e10 | − | 1.22691e11i | −0.616288 | − | 1.06744i | ||||
\(288\) | −6.86031e9 | − | 1.18824e10i | −0.0587594 | − | 0.101774i | ||||
\(289\) | 1.23926e10 | − | 2.14645e10i | 0.104501 | − | 0.181001i | ||||
\(290\) | 4.85901e9 | + | 8.41606e9i | 0.0403420 | + | 0.0698743i | ||||
\(291\) | −3.38778e10 | + | 5.86780e10i | −0.276947 | + | 0.479686i | ||||
\(292\) | 1.03200e11 | 0.830723 | ||||||||
\(293\) | 4.55767e10 | 0.361275 | 0.180638 | − | 0.983550i | \(-0.442184\pi\) | ||||
0.180638 | + | 0.983550i | \(0.442184\pi\) | |||||||
\(294\) | −1.55146e11 | + | 2.68721e11i | −1.21109 | + | 2.09768i | ||||
\(295\) | 2.01760e10 | − | 3.49458e10i | 0.155108 | − | 0.268656i | ||||
\(296\) | 2.16149e8 | 0.00163659 | ||||||||
\(297\) | −1.04431e11 | −0.778795 | ||||||||
\(298\) | −3.72990e10 | + | 6.46038e10i | −0.273983 | + | 0.474553i | ||||
\(299\) | 1.74314e10 | + | 3.01921e10i | 0.126128 | + | 0.218460i | ||||
\(300\) | 4.30768e10 | − | 7.46111e10i | 0.307042 | − | 0.531812i | ||||
\(301\) | −2.22130e10 | − | 3.84740e10i | −0.155976 | − | 0.270158i | ||||
\(302\) | −2.39695e10 | − | 4.15163e10i | −0.165816 | − | 0.287202i | ||||
\(303\) | 5.86817e10 | 0.399955 | ||||||||
\(304\) | 3.46339e10 | − | 1.36538e10i | 0.232579 | − | 0.0916904i | ||||
\(305\) | 5.29549e10 | 0.350394 | ||||||||
\(306\) | 3.20606e10 | + | 5.55306e10i | 0.209038 | + | 0.362064i | ||||
\(307\) | 1.14003e11 | + | 1.97459e11i | 0.732477 | + | 1.26869i | 0.955821 | + | 0.293948i | \(0.0949694\pi\) |
−0.223344 | + | 0.974740i | \(0.571697\pi\) | |||||||
\(308\) | −1.35918e11 | + | 2.35417e11i | −0.860596 | + | 1.49060i | ||||
\(309\) | −3.15305e10 | − | 5.46123e10i | −0.196751 | − | 0.340783i | ||||
\(310\) | −1.44759e10 | + | 2.50729e10i | −0.0890260 | + | 0.154197i | ||||
\(311\) | −4.80953e10 | −0.291528 | −0.145764 | − | 0.989319i | \(-0.546564\pi\) | ||||
−0.145764 | + | 0.989319i | \(0.546564\pi\) | |||||||
\(312\) | −4.44058e10 | −0.265304 | ||||||||
\(313\) | 1.77438e10 | − | 3.07331e10i | 0.104495 | − | 0.180991i | −0.809037 | − | 0.587758i | \(-0.800011\pi\) |
0.913532 | + | 0.406767i | \(0.133344\pi\) | |||||||
\(314\) | 2.53301e10 | − | 4.38731e10i | 0.147046 | − | 0.254692i | ||||
\(315\) | 4.87214e10 | 0.278819 | ||||||||
\(316\) | 1.46817e11 | 0.828294 | ||||||||
\(317\) | −1.66635e11 | + | 2.88621e11i | −0.926831 | + | 1.60532i | −0.138242 | + | 0.990399i | \(0.544145\pi\) |
−0.788590 | + | 0.614920i | \(0.789188\pi\) | |||||||
\(318\) | −1.33289e11 | − | 2.30864e11i | −0.730925 | − | 1.26600i | ||||
\(319\) | 8.66064e10 | − | 1.50007e11i | 0.468265 | − | 0.811059i | ||||
\(320\) | −2.57193e9 | − | 4.45471e9i | −0.0137115 | − | 0.0237489i | ||||
\(321\) | 1.51326e11 | + | 2.62104e11i | 0.795502 | + | 1.37785i | ||||
\(322\) | 1.13111e11 | 0.586346 | ||||||||
\(323\) | −1.61856e11 | + | 6.38091e10i | −0.827404 | + | 0.326191i | ||||
\(324\) | −1.21281e11 | −0.611423 | ||||||||
\(325\) | −5.56714e10 | − | 9.64258e10i | −0.276794 | − | 0.479422i | ||||
\(326\) | 5.66522e10 | + | 9.81245e10i | 0.277803 | + | 0.481170i | ||||
\(327\) | 1.10084e11 | − | 1.90671e11i | 0.532426 | − | 0.922188i | ||||
\(328\) | −2.38910e10 | − | 4.13805e10i | −0.113973 | − | 0.197407i | ||||
\(329\) | 8.25800e10 | − | 1.43033e11i | 0.388591 | − | 0.673060i | ||||
\(330\) | 7.76433e10 | 0.360405 | ||||||||
\(331\) | −2.03620e10 | −0.0932385 | −0.0466192 | − | 0.998913i | \(-0.514845\pi\) | ||||
−0.0466192 | + | 0.998913i | \(0.514845\pi\) | |||||||
\(332\) | 2.19661e10 | − | 3.80464e10i | 0.0992274 | − | 0.171867i | ||||
\(333\) | −3.45253e8 | + | 5.97996e8i | −0.00153865 | + | 0.00266501i | ||||
\(334\) | 7.53878e10 | 0.331468 | ||||||||
\(335\) | −5.86424e10 | −0.254396 | ||||||||
\(336\) | −7.20364e10 | + | 1.24771e11i | −0.308337 | + | 0.534055i | ||||
\(337\) | 1.72385e11 | + | 2.98580e11i | 0.728057 | + | 1.26103i | 0.957703 | + | 0.287758i | \(0.0929098\pi\) |
−0.229646 | + | 0.973274i | \(0.573757\pi\) | |||||||
\(338\) | 5.61415e10 | − | 9.72399e10i | 0.233969 | − | 0.405247i | ||||
\(339\) | 2.51119e11 | + | 4.34951e11i | 1.03272 | + | 1.78872i | ||||
\(340\) | 1.20195e10 | + | 2.08184e10i | 0.0487788 | + | 0.0844874i | ||||
\(341\) | 5.16031e11 | 2.06672 | ||||||||
\(342\) | −1.75458e10 | + | 1.17627e11i | −0.0693515 | + | 0.464932i | ||||
\(343\) | 8.11005e11 | 3.16373 | ||||||||
\(344\) | −7.49185e9 | − | 1.29763e10i | −0.0288454 | − | 0.0499617i | ||||
\(345\) | −1.61537e10 | − | 2.79790e10i | −0.0613883 | − | 0.106328i | ||||
\(346\) | −9.04701e9 | + | 1.56699e10i | −0.0339362 | + | 0.0587792i | ||||
\(347\) | −1.77109e11 | − | 3.06762e11i | −0.655780 | − | 1.13584i | −0.981698 | − | 0.190446i | \(-0.939007\pi\) |
0.325918 | − | 0.945398i | \(-0.394327\pi\) | |||||||
\(348\) | 4.59013e10 | − | 7.95033e10i | 0.167771 | − | 0.290589i | ||||
\(349\) | −2.15202e11 | −0.776483 | −0.388242 | − | 0.921558i | \(-0.626917\pi\) | ||||
−0.388242 | + | 0.921558i | \(0.626917\pi\) | |||||||
\(350\) | −3.61248e11 | −1.28676 | ||||||||
\(351\) | −3.57653e10 | + | 6.19472e10i | −0.125771 | + | 0.217841i | ||||
\(352\) | −4.58417e10 | + | 7.94001e10i | −0.159154 | + | 0.275663i | ||||
\(353\) | −4.92435e11 | −1.68796 | −0.843981 | − | 0.536373i | \(-0.819794\pi\) | ||||
−0.843981 | + | 0.536373i | \(0.819794\pi\) | |||||||
\(354\) | −3.81189e11 | −1.29011 | ||||||||
\(355\) | −2.12692e10 | + | 3.68393e10i | −0.0710761 | + | 0.123107i | ||||
\(356\) | −3.37969e9 | − | 5.85379e9i | −0.0111520 | − | 0.0193158i | ||||
\(357\) | 3.36651e11 | − | 5.83097e11i | 1.09692 | − | 1.89991i | ||||
\(358\) | 1.64563e11 | + | 2.85031e11i | 0.529491 | + | 0.917105i | ||||
\(359\) | −1.91851e11 | − | 3.32296e11i | −0.609592 | − | 1.05584i | −0.991308 | − | 0.131564i | \(-0.958000\pi\) |
0.381716 | − | 0.924280i | \(-0.375333\pi\) | |||||||
\(360\) | 1.64324e10 | 0.0515633 | ||||||||
\(361\) | −3.08641e11 | − | 9.41721e10i | −0.956468 | − | 0.291837i | ||||
\(362\) | −2.58832e11 | −0.792191 | ||||||||
\(363\) | −4.78534e11 | − | 8.28846e11i | −1.44655 | − | 2.50550i | ||||
\(364\) | 9.30982e10 | + | 1.61251e11i | 0.277962 | + | 0.481444i | ||||
\(365\) | −6.17985e10 | + | 1.07038e11i | −0.182247 | + | 0.315661i | ||||
\(366\) | −2.50123e11 | − | 4.33225e11i | −0.728598 | − | 1.26197i | ||||
\(367\) | 2.94558e11 | − | 5.10189e11i | 0.847566 | − | 1.46803i | −0.0358086 | − | 0.999359i | \(-0.511401\pi\) |
0.883374 | − | 0.468668i | \(-0.155266\pi\) | |||||||
\(368\) | 3.81494e10 | 0.108436 | ||||||||
\(369\) | 1.52644e11 | 0.428608 | ||||||||
\(370\) | −1.29435e8 | + | 2.24188e8i | −0.000359041 | + | 0.000621878i | ||||
\(371\) | −5.58891e11 | + | 9.68027e11i | −1.53160 | + | 2.65280i | ||||
\(372\) | 2.73496e11 | 0.740470 | ||||||||
\(373\) | −6.26226e11 | −1.67510 | −0.837551 | − | 0.546359i | \(-0.816013\pi\) | ||||
−0.837551 | + | 0.546359i | \(0.816013\pi\) | |||||||
\(374\) | 2.14234e11 | − | 3.71064e11i | 0.566195 | − | 0.980678i | ||||
\(375\) | 1.05790e11 | + | 1.83234e11i | 0.276251 | + | 0.478481i | ||||
\(376\) | 2.78521e10 | − | 4.82412e10i | 0.0718641 | − | 0.124472i | ||||
\(377\) | −5.93218e10 | − | 1.02748e11i | −0.151244 | − | 0.261962i | ||||
\(378\) | 1.16039e11 | + | 2.00986e11i | 0.292342 | + | 0.506351i | ||||
\(379\) | −5.15393e11 | −1.28310 | −0.641552 | − | 0.767079i | \(-0.721709\pi\) | ||||
−0.641552 | + | 0.767079i | \(0.721709\pi\) | |||||||
\(380\) | −6.57791e9 | + | 4.40982e10i | −0.0161831 | + | 0.108491i | ||||
\(381\) | −2.60088e11 | −0.632350 | ||||||||
\(382\) | 6.13141e10 | + | 1.06199e11i | 0.147325 | + | 0.255174i | ||||
\(383\) | 2.37065e11 | + | 4.10609e11i | 0.562954 | + | 0.975065i | 0.997237 | + | 0.0742886i | \(0.0236686\pi\) |
−0.434283 | + | 0.900777i | \(0.642998\pi\) | |||||||
\(384\) | −2.42960e10 | + | 4.20819e10i | −0.0570223 | + | 0.0987654i | ||||
\(385\) | −1.62782e11 | − | 2.81946e11i | −0.377601 | − | 0.654023i | ||||
\(386\) | 1.48446e10 | − | 2.57117e10i | 0.0340351 | − | 0.0589505i | ||||
\(387\) | 4.78667e10 | 0.108476 | ||||||||
\(388\) | 9.58207e10 | 0.214643 | ||||||||
\(389\) | 5.61216e10 | − | 9.72055e10i | 0.124267 | − | 0.215237i | −0.797179 | − | 0.603743i | \(-0.793675\pi\) |
0.921446 | + | 0.388506i | \(0.127009\pi\) | |||||||
\(390\) | 2.65912e10 | − | 4.60573e10i | 0.0582032 | − | 0.100811i | ||||
\(391\) | −1.78285e11 | −0.385763 | ||||||||
\(392\) | 4.38819e11 | 0.938638 | ||||||||
\(393\) | 2.54020e11 | − | 4.39976e11i | 0.537157 | − | 0.930384i | ||||
\(394\) | −1.72493e11 | − | 2.98767e11i | −0.360611 | − | 0.624597i | ||||
\(395\) | −8.79174e10 | + | 1.52277e11i | −0.181714 | + | 0.314738i | ||||
\(396\) | −1.46445e11 | − | 2.53650e11i | −0.299258 | − | 0.518330i | ||||
\(397\) | 1.49088e10 | + | 2.58229e10i | 0.0301222 | + | 0.0521732i | 0.880694 | − | 0.473687i | \(-0.157077\pi\) |
−0.850571 | + | 0.525860i | \(0.823744\pi\) | |||||||
\(398\) | 1.53832e11 | 0.307307 | ||||||||
\(399\) | 1.16178e12 | − | 4.58012e11i | 2.29480 | − | 0.904689i | ||||
\(400\) | −1.21839e11 | −0.237968 | ||||||||
\(401\) | 4.65781e10 | + | 8.06757e10i | 0.0899564 | + | 0.155809i | 0.907492 | − | 0.420068i | \(-0.137994\pi\) |
−0.817536 | + | 0.575877i | \(0.804661\pi\) | |||||||
\(402\) | 2.76986e11 | + | 4.79755e11i | 0.528982 | + | 0.916224i | ||||
\(403\) | 1.76730e11 | − | 3.06105e11i | 0.333762 | − | 0.578093i | ||||
\(404\) | −4.14942e10 | − | 7.18701e10i | −0.0774946 | − | 0.134225i | ||||
\(405\) | 7.26261e10 | − | 1.25792e11i | 0.134136 | − | 0.232330i | ||||
\(406\) | −3.84934e11 | −0.703104 | ||||||||
\(407\) | 4.61407e9 | 0.00833507 | ||||||||
\(408\) | 1.13544e11 | − | 1.96663e11i | 0.202858 | − | 0.351360i | ||||
\(409\) | −4.82349e10 | + | 8.35452e10i | −0.0852327 | + | 0.147627i | −0.905490 | − | 0.424367i | \(-0.860497\pi\) |
0.820258 | + | 0.571994i | \(0.193830\pi\) | |||||||
\(410\) | 5.72260e10 | 0.100015 | ||||||||
\(411\) | −1.59896e11 | −0.276407 | ||||||||
\(412\) | −4.45908e10 | + | 7.72335e10i | −0.0762444 | + | 0.132059i | ||||
\(413\) | 7.99177e11 | + | 1.38421e12i | 1.35166 | + | 2.34114i | ||||
\(414\) | −6.09357e10 | + | 1.05544e11i | −0.101946 | + | 0.176576i | ||||
\(415\) | 2.63076e10 | + | 4.55661e10i | 0.0435377 | + | 0.0754095i | ||||
\(416\) | 3.13996e10 | + | 5.43857e10i | 0.0514049 | + | 0.0890358i | ||||
\(417\) | 1.09237e11 | 0.176912 | ||||||||
\(418\) | 7.39318e11 | − | 2.91464e11i | 1.18451 | − | 0.466973i | ||||
\(419\) | 3.24798e11 | 0.514814 | 0.257407 | − | 0.966303i | \(-0.417132\pi\) | ||||
0.257407 | + | 0.966303i | \(0.417132\pi\) | |||||||
\(420\) | −8.62741e10 | − | 1.49431e11i | −0.135288 | − | 0.234325i | ||||
\(421\) | −1.58472e11 | − | 2.74481e11i | −0.245857 | − | 0.425836i | 0.716516 | − | 0.697571i | \(-0.245736\pi\) |
−0.962372 | + | 0.271735i | \(0.912403\pi\) | |||||||
\(422\) | −2.87888e11 | + | 4.98637e11i | −0.441894 | + | 0.765383i | ||||
\(423\) | 8.89757e10 | + | 1.54110e11i | 0.135126 | + | 0.234046i | ||||
\(424\) | −1.88499e11 | + | 3.26490e11i | −0.283246 | + | 0.490596i | ||||
\(425\) | 5.69398e11 | 0.846576 | ||||||||
\(426\) | 4.01844e11 | 0.591173 | ||||||||
\(427\) | −1.04878e12 | + | 1.81654e12i | −1.52672 | + | 2.64436i | ||||
\(428\) | 2.14007e11 | − | 3.70672e11i | 0.308270 | − | 0.533940i | ||||
\(429\) | −9.47916e11 | −1.35118 | ||||||||
\(430\) | 1.79452e10 | 0.0253128 | ||||||||
\(431\) | −5.71878e11 | + | 9.90521e11i | −0.798280 | + | 1.38266i | 0.122455 | + | 0.992474i | \(0.460923\pi\) |
−0.920735 | + | 0.390188i | \(0.872410\pi\) | |||||||
\(432\) | 3.91369e10 | + | 6.77872e10i | 0.0540642 | + | 0.0936420i | ||||
\(433\) | 5.36815e11 | − | 9.29790e11i | 0.733886 | − | 1.27113i | −0.221324 | − | 0.975200i | \(-0.571038\pi\) |
0.955210 | − | 0.295928i | \(-0.0956288\pi\) | |||||||
\(434\) | −5.73394e11 | − | 9.93147e11i | −0.775799 | − | 1.34372i | ||||
\(435\) | 5.49735e10 | + | 9.52168e10i | 0.0736125 | + | 0.127501i | ||||
\(436\) | −3.11364e11 | −0.412648 | ||||||||
\(437\) | −2.58845e11 | − | 2.05777e11i | −0.339527 | − | 0.269917i | ||||
\(438\) | 1.16757e12 | 1.51583 | ||||||||
\(439\) | 6.51136e11 | + | 1.12780e12i | 0.836722 | + | 1.44925i | 0.892621 | + | 0.450809i | \(0.148864\pi\) |
−0.0558986 | + | 0.998436i | \(0.517802\pi\) | |||||||
\(440\) | −5.49021e10 | − | 9.50932e10i | −0.0698316 | − | 0.120952i | ||||
\(441\) | −7.00922e11 | + | 1.21403e12i | −0.882462 | + | 1.52847i | ||||
\(442\) | −1.46741e11 | − | 2.54163e11i | −0.182874 | − | 0.316747i | ||||
\(443\) | −1.58687e11 | + | 2.74854e11i | −0.195760 | + | 0.339067i | −0.947149 | − | 0.320793i | \(-0.896051\pi\) |
0.751389 | + | 0.659859i | \(0.229384\pi\) | |||||||
\(444\) | 2.44545e9 | 0.00298631 | ||||||||
\(445\) | 8.09534e9 | 0.00978623 | ||||||||
\(446\) | −1.23402e11 | + | 2.13739e11i | −0.147678 | + | 0.255785i | ||||
\(447\) | −4.21990e11 | + | 7.30909e11i | −0.499941 | + | 0.865923i | ||||
\(448\) | 2.03750e11 | 0.238971 | ||||||||
\(449\) | 1.08881e12 | 1.26429 | 0.632143 | − | 0.774852i | \(-0.282176\pi\) | ||||
0.632143 | + | 0.774852i | \(0.282176\pi\) | |||||||
\(450\) | 1.94613e11 | − | 3.37080e11i | 0.223726 | − | 0.387504i | ||||
\(451\) | −5.09994e11 | − | 8.83336e11i | −0.580458 | − | 1.00538i | ||||
\(452\) | 3.55136e11 | − | 6.15113e11i | 0.400195 | − | 0.693158i | ||||
\(453\) | −2.71184e11 | − | 4.69704e11i | −0.302567 | − | 0.524061i | ||||
\(454\) | −1.60633e11 | − | 2.78224e11i | −0.177452 | − | 0.307357i | ||||
\(455\) | −2.22998e11 | −0.243921 | ||||||||
\(456\) | 3.91838e11 | − | 1.54476e11i | 0.424389 | − | 0.167309i | ||||
\(457\) | −6.21776e11 | −0.666824 | −0.333412 | − | 0.942781i | \(-0.608200\pi\) | ||||
−0.333412 | + | 0.942781i | \(0.608200\pi\) | |||||||
\(458\) | −6.56155e11 | − | 1.13649e12i | −0.696805 | − | 1.20690i | ||||
\(459\) | −1.82900e11 | − | 3.16793e11i | −0.192335 | − | 0.333134i | ||||
\(460\) | −2.28448e10 | + | 3.95683e10i | −0.0237890 | + | 0.0412038i | ||||
\(461\) | −1.15055e11 | − | 1.99281e11i | −0.118645 | − | 0.205500i | 0.800586 | − | 0.599218i | \(-0.204522\pi\) |
−0.919231 | + | 0.393718i | \(0.871189\pi\) | |||||||
\(462\) | −1.53774e12 | + | 2.66344e12i | −1.57034 | + | 2.71991i | ||||
\(463\) | −5.03414e10 | −0.0509109 | −0.0254555 | − | 0.999676i | \(-0.508104\pi\) | ||||
−0.0254555 | + | 0.999676i | \(0.508104\pi\) | |||||||
\(464\) | −1.29828e11 | −0.130029 | ||||||||
\(465\) | −1.63776e11 | + | 2.83668e11i | −0.162447 | + | 0.281366i | ||||
\(466\) | 4.23692e11 | − | 7.33856e11i | 0.416211 | − | 0.720899i | ||||
\(467\) | 1.90931e11 | 0.185759 | 0.0928795 | − | 0.995677i | \(-0.470393\pi\) | ||||
0.0928795 | + | 0.995677i | \(0.470393\pi\) | |||||||
\(468\) | −2.00617e11 | −0.193313 | ||||||||
\(469\) | 1.16142e12 | − | 2.01164e12i | 1.10844 | − | 1.91988i | ||||
\(470\) | 3.33569e10 | + | 5.77759e10i | 0.0315316 | + | 0.0546143i | ||||
\(471\) | 2.86578e11 | − | 4.96367e11i | 0.268317 | − | 0.464739i | ||||
\(472\) | 2.69542e11 | + | 4.66860e11i | 0.249969 | + | 0.432960i | ||||
\(473\) | −1.59926e11 | − | 2.77000e11i | −0.146908 | − | 0.254452i | ||||
\(474\) | 1.66104e12 | 1.51140 | ||||||||
\(475\) | 8.26686e11 | + | 6.57198e11i | 0.745108 | + | 0.592345i | ||||
\(476\) | −9.52193e11 | −0.850146 | ||||||||
\(477\) | −6.02176e11 | − | 1.04300e12i | −0.532587 | − | 0.922468i | ||||
\(478\) | 5.45062e11 | + | 9.44075e11i | 0.477551 | + | 0.827143i | ||||
\(479\) | −5.01860e11 | + | 8.69248e11i | −0.435585 | + | 0.754456i | −0.997343 | − | 0.0728460i | \(-0.976792\pi\) |
0.561758 | + | 0.827302i | \(0.310125\pi\) | |||||||
\(480\) | −2.90980e10 | − | 5.03992e10i | −0.0250195 | − | 0.0433350i | ||||
\(481\) | 1.58022e9 | − | 2.73702e9i | 0.00134606 | − | 0.00233145i | ||||
\(482\) | 4.06552e11 | 0.343087 | ||||||||
\(483\) | 1.27971e12 | 1.06991 | ||||||||
\(484\) | −6.76750e11 | + | 1.17217e12i | −0.560563 | + | 0.970923i | ||||
\(485\) | −5.73797e10 | + | 9.93845e10i | −0.0470891 | + | 0.0815607i | ||||
\(486\) | −9.96003e11 | −0.809837 | ||||||||
\(487\) | −1.18299e12 | −0.953020 | −0.476510 | − | 0.879169i | \(-0.658098\pi\) | ||||
−0.476510 | + | 0.879169i | \(0.658098\pi\) | |||||||
\(488\) | −3.53727e11 | + | 6.12673e11i | −0.282344 | + | 0.489034i | ||||
\(489\) | 6.40946e11 | + | 1.11015e12i | 0.506911 | + | 0.877996i | ||||
\(490\) | −2.62775e11 | + | 4.55140e11i | −0.205922 | + | 0.356667i | ||||
\(491\) | 2.37395e11 | + | 4.11180e11i | 0.184334 | + | 0.319275i | 0.943352 | − | 0.331794i | \(-0.107654\pi\) |
−0.759018 | + | 0.651070i | \(0.774321\pi\) | |||||||
\(492\) | −2.70296e11 | − | 4.68167e11i | −0.207968 | − | 0.360211i | ||||
\(493\) | 6.06733e11 | 0.462579 | ||||||||
\(494\) | 8.03071e10 | − | 5.38378e11i | 0.0606712 | − | 0.406739i | ||||
\(495\) | 3.50778e11 | 0.262609 | ||||||||
\(496\) | −1.93391e11 | − | 3.34963e11i | −0.143472 | − | 0.248501i | ||||
\(497\) | −8.42480e11 | − | 1.45922e12i | −0.619378 | − | 1.07279i | ||||
\(498\) | 2.48518e11 | − | 4.30446e11i | 0.181061 | − | 0.313608i | ||||
\(499\) | −2.57810e11 | − | 4.46539e11i | −0.186143 | − | 0.322409i | 0.757818 | − | 0.652466i | \(-0.226265\pi\) |
−0.943961 | + | 0.330057i | \(0.892932\pi\) | |||||||
\(500\) | 1.49610e11 | − | 2.59132e11i | 0.107052 | − | 0.185419i | ||||
\(501\) | 8.52915e11 | 0.604834 | ||||||||
\(502\) | 1.45525e12 | 1.02275 | ||||||||
\(503\) | 8.82920e11 | − | 1.52926e12i | 0.614986 | − | 1.06519i | −0.375401 | − | 0.926863i | \(-0.622495\pi\) |
0.990387 | − | 0.138325i | \(-0.0441717\pi\) | |||||||
\(504\) | −3.25448e11 | + | 5.63692e11i | −0.224669 | + | 0.389139i | ||||
\(505\) | 9.93908e10 | 0.0680041 | ||||||||
\(506\) | 8.14364e11 | 0.552257 | ||||||||
\(507\) | 6.35169e11 | − | 1.10014e12i | 0.426927 | − | 0.739458i | ||||
\(508\) | 1.83910e11 | + | 3.18541e11i | 0.122523 | + | 0.212216i | ||||
\(509\) | 7.20948e11 | − | 1.24872e12i | 0.476074 | − | 0.824584i | −0.523551 | − | 0.851995i | \(-0.675393\pi\) |
0.999624 | + | 0.0274110i | \(0.00872627\pi\) | |||||||
\(510\) | 1.35985e11 | + | 2.35533e11i | 0.0890073 | + | 0.154165i | ||||
\(511\) | −2.44786e12 | − | 4.23982e12i | −1.58815 | − | 2.75076i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | 1.00096e11 | − | 6.71042e11i | 0.0638099 | − | 0.427781i | ||||
\(514\) | −1.44166e12 | −0.911021 | ||||||||
\(515\) | −5.34040e10 | − | 9.24984e10i | −0.0334535 | − | 0.0579431i | ||||
\(516\) | −8.47606e10 | − | 1.46810e11i | −0.0526345 | − | 0.0911656i | ||||
\(517\) | 5.94549e11 | − | 1.02979e12i | 0.365999 | − | 0.633930i | ||||
\(518\) | −5.12697e9 | − | 8.88018e9i | −0.00312879 | − | 0.00541923i | ||||
\(519\) | −1.02355e11 | + | 1.77285e11i | −0.0619237 | + | 0.107255i | ||||
\(520\) | −7.52112e10 | −0.0451095 | ||||||||
\(521\) | −3.66068e11 | −0.217666 | −0.108833 | − | 0.994060i | \(-0.534711\pi\) | ||||
−0.108833 | + | 0.994060i | \(0.534711\pi\) | |||||||
\(522\) | 2.07374e11 | − | 3.59182e11i | 0.122246 | − | 0.211737i | ||||
\(523\) | −2.00097e11 | + | 3.46578e11i | −0.116945 | + | 0.202555i | −0.918556 | − | 0.395292i | \(-0.870644\pi\) |
0.801610 | + | 0.597847i | \(0.203977\pi\) | |||||||
\(524\) | −7.18477e11 | −0.416315 | ||||||||
\(525\) | −4.08705e12 | −2.34797 | ||||||||
\(526\) | −7.44890e11 | + | 1.29019e12i | −0.424284 | + | 0.734881i | ||||
\(527\) | 9.03782e11 | + | 1.56540e12i | 0.510406 | + | 0.884049i | ||||
\(528\) | −5.18639e11 | + | 8.98309e11i | −0.290411 | + | 0.503006i | ||||
\(529\) | 7.31148e11 | + | 1.26639e12i | 0.405933 | + | 0.703097i | ||||
\(530\) | −2.25755e11 | − | 3.91020e11i | −0.124279 | − | 0.215257i | ||||
\(531\) | −1.72214e12 | −0.940035 | ||||||||
\(532\) | −1.38245e12 | − | 1.09902e12i | −0.748250 | − | 0.594844i | ||||
\(533\) | −6.98649e11 | −0.374962 | ||||||||
\(534\) | −3.82368e10 | − | 6.62281e10i | −0.0203491 | − | 0.0352458i | ||||
\(535\) | 2.56305e11 | + | 4.43933e11i | 0.135259 | + | 0.234275i | ||||
\(536\) | 3.91718e11 | − | 6.78475e11i | 0.204990 | − | 0.355052i | ||||
\(537\) | 1.86182e12 | + | 3.22476e12i | 0.966168 | + | 1.67345i | ||||
\(538\) | 3.06736e11 | − | 5.31282e11i | 0.157850 | − | 0.273404i | ||||
\(539\) | 9.36733e12 | 4.78043 | ||||||||
\(540\) | −9.37444e10 | −0.0474432 | ||||||||
\(541\) | −1.84046e12 | + | 3.18778e12i | −0.923719 | + | 1.59993i | −0.130110 | + | 0.991500i | \(0.541533\pi\) |
−0.793609 | + | 0.608428i | \(0.791800\pi\) | |||||||
\(542\) | 3.60126e11 | − | 6.23756e11i | 0.179249 | − | 0.310469i | ||||
\(543\) | −2.92835e12 | −1.44552 | ||||||||
\(544\) | −3.21150e11 | −0.157222 | ||||||||
\(545\) | 1.86452e11 | − | 3.22945e11i | 0.0905280 | − | 0.156799i | ||||
\(546\) | 1.05329e12 | + | 1.82435e12i | 0.507200 | + | 0.878497i | ||||
\(547\) | −3.83248e11 | + | 6.63804e11i | −0.183036 | + | 0.317028i | −0.942913 | − | 0.333039i | \(-0.891926\pi\) |
0.759877 | + | 0.650067i | \(0.225259\pi\) | |||||||
\(548\) | 1.13063e11 | + | 1.95832e11i | 0.0535562 | + | 0.0927621i | ||||
\(549\) | −1.13001e12 | − | 1.95723e12i | −0.530892 | − | 0.919532i | ||||
\(550\) | −2.60087e12 | −1.21195 | ||||||||
\(551\) | 8.80890e11 | + | 7.00289e11i | 0.407136 | + | 0.323665i | ||||
\(552\) | 4.31612e11 | 0.197864 | ||||||||
\(553\) | −3.48244e12 | − | 6.03176e12i | −1.58351 | − | 2.74272i | ||||
\(554\) | −3.02840e11 | − | 5.24534e11i | −0.136590 | − | 0.236581i | ||||
\(555\) | −1.46439e9 | + | 2.53640e9i | −0.000655147 | + | 0.00113475i | ||||
\(556\) | −7.72421e10 | − | 1.33787e11i | −0.0342782 | − | 0.0593715i | ||||
\(557\) | −1.37665e12 | + | 2.38443e12i | −0.606004 | + | 1.04963i | 0.385888 | + | 0.922546i | \(0.373895\pi\) |
−0.991892 | + | 0.127084i | \(0.959438\pi\) | |||||||
\(558\) | 1.23560e12 | 0.539543 | ||||||||
\(559\) | −2.19085e11 | −0.0948987 | ||||||||
\(560\) | −1.22010e11 | + | 2.11328e11i | −0.0524263 | + | 0.0908051i | ||||
\(561\) | 2.42378e12 | − | 4.19811e12i | 1.03314 | − | 1.78946i | ||||
\(562\) | −2.43284e11 | −0.102873 | ||||||||
\(563\) | 1.07656e12 | 0.451598 | 0.225799 | − | 0.974174i | \(-0.427501\pi\) | ||||
0.225799 | + | 0.974174i | \(0.427501\pi\) | |||||||
\(564\) | 3.15110e11 | − | 5.45787e11i | 0.131131 | − | 0.227126i | ||||
\(565\) | 4.25327e11 | + | 7.36688e11i | 0.175592 | + | 0.304135i | ||||
\(566\) | −4.02673e10 | + | 6.97450e10i | −0.0164922 | + | 0.0285653i | ||||
\(567\) | 2.87674e12 | + | 4.98267e12i | 1.16890 | + | 2.02459i | ||||
\(568\) | −2.84147e11 | − | 4.92156e11i | −0.114545 | − | 0.198397i | ||||
\(569\) | 1.95069e12 | 0.780158 | 0.390079 | − | 0.920781i | \(-0.372448\pi\) | ||||
0.390079 | + | 0.920781i | \(0.372448\pi\) | |||||||
\(570\) | −7.44206e10 | + | 4.98914e11i | −0.0295295 | + | 0.197965i | ||||
\(571\) | −6.52932e11 | −0.257043 | −0.128521 | − | 0.991707i | \(-0.541023\pi\) | ||||
−0.128521 | + | 0.991707i | \(0.541023\pi\) | |||||||
\(572\) | 6.70278e11 | + | 1.16095e12i | 0.261802 | + | 0.453454i | ||||
\(573\) | 6.93690e11 | + | 1.20151e12i | 0.268825 | + | 0.465619i | ||||
\(574\) | −1.13337e12 | + | 1.96306e12i | −0.435781 | + | 0.754795i | ||||
\(575\) | 5.41111e11 | + | 9.37232e11i | 0.206434 | + | 0.357554i | ||||
\(576\) | −1.09765e11 | + | 1.90119e11i | −0.0415492 | + | 0.0719653i | ||||
\(577\) | 2.87223e12 | 1.07877 | 0.539383 | − | 0.842060i | \(-0.318657\pi\) | ||||
0.539383 | + | 0.842060i | \(0.318657\pi\) | |||||||
\(578\) | −3.96562e11 | −0.147787 | ||||||||
\(579\) | 1.67948e11 | − | 2.90894e11i | 0.0621042 | − | 0.107568i | ||||
\(580\) | 7.77442e10 | − | 1.34657e11i | 0.0285261 | − | 0.0494086i | ||||
\(581\) | −2.08411e12 | −0.758801 | ||||||||
\(582\) | 1.08409e12 | 0.391662 | ||||||||
\(583\) | −4.02383e12 | + | 6.96948e12i | −1.44255 | + | 2.49857i | ||||
\(584\) | −8.25599e11 | − | 1.42998e12i | −0.293705 | − | 0.508712i | ||||
\(585\) | 1.20134e11 | − | 2.08079e11i | 0.0424097 | − | 0.0734558i | ||||
\(586\) | −3.64613e11 | − | 6.31529e11i | −0.127730 | − | 0.221235i | ||||
\(587\) | 1.36008e12 | + | 2.35573e12i | 0.472817 | + | 0.818943i | 0.999516 | − | 0.0311088i | \(-0.00990383\pi\) |
−0.526699 | + | 0.850052i | \(0.676570\pi\) | |||||||
\(588\) | 4.96467e12 | 1.71274 | ||||||||
\(589\) | −4.94613e11 | + | 3.31588e12i | −0.169335 | + | 1.13522i | ||||
\(590\) | −6.45631e11 | −0.219356 | ||||||||
\(591\) | −1.95154e12 | − | 3.38016e12i | −0.658012 | − | 1.13971i | ||||
\(592\) | −1.72919e9 | − | 2.99505e9i | −0.000578623 | − | 0.00100221i | ||||
\(593\) | 1.00870e12 | − | 1.74712e12i | 0.334978 | − | 0.580200i | −0.648502 | − | 0.761213i | \(-0.724604\pi\) |
0.983481 | + | 0.181013i | \(0.0579376\pi\) | |||||||
\(594\) | 8.35444e11 | + | 1.44703e12i | 0.275346 | + | 0.476913i | ||||
\(595\) | 5.70195e11 | − | 9.87607e11i | 0.186508 | − | 0.323041i | ||||
\(596\) | 1.19357e12 | 0.387471 | ||||||||
\(597\) | 1.74041e12 | 0.560746 | ||||||||
\(598\) | 2.78903e11 | − | 4.83073e11i | 0.0891861 | − | 0.154475i | ||||
\(599\) | 2.07824e11 | − | 3.59962e11i | 0.0659592 | − | 0.114245i | −0.831160 | − | 0.556034i | \(-0.812323\pi\) |
0.897119 | + | 0.441789i | \(0.145656\pi\) | |||||||
\(600\) | −1.37846e12 | −0.434223 | ||||||||
\(601\) | −2.21221e12 | −0.691656 | −0.345828 | − | 0.938298i | \(-0.612402\pi\) | ||||
−0.345828 | + | 0.938298i | \(0.612402\pi\) | |||||||
\(602\) | −3.55407e11 | + | 6.15584e11i | −0.110292 | + | 0.191031i | ||||
\(603\) | 1.25137e12 | + | 2.16744e12i | 0.385442 | + | 0.667606i | ||||
\(604\) | −3.83512e11 | + | 6.64262e11i | −0.117250 | + | 0.203083i | ||||
\(605\) | −8.10507e11 | − | 1.40384e12i | −0.245956 | − | 0.426008i | ||||
\(606\) | −4.69454e11 | − | 8.13117e11i | −0.141405 | − | 0.244921i | ||||
\(607\) | 1.01149e12 | 0.302422 | 0.151211 | − | 0.988501i | \(-0.451683\pi\) | ||||
0.151211 | + | 0.988501i | \(0.451683\pi\) | |||||||
\(608\) | −4.66264e11 | − | 3.70670e11i | −0.138378 | − | 0.110007i | ||||
\(609\) | −4.35504e12 | −1.28296 | ||||||||
\(610\) | −4.23640e11 | − | 7.33765e11i | −0.123883 | − | 0.214572i | ||||
\(611\) | −4.07241e11 | − | 7.05363e11i | −0.118213 | − | 0.204751i | ||||
\(612\) | 5.12970e11 | − | 8.88489e11i | 0.147812 | − | 0.256018i | ||||
\(613\) | −1.38659e12 | − | 2.40164e12i | −0.396620 | − | 0.686966i | 0.596687 | − | 0.802474i | \(-0.296484\pi\) |
−0.993306 | + | 0.115509i | \(0.963150\pi\) | |||||||
\(614\) | 1.82405e12 | − | 3.15935e12i | 0.517940 | − | 0.897098i | ||||
\(615\) | 6.47438e11 | 0.182499 | ||||||||
\(616\) | 4.34938e12 | 1.21707 | ||||||||
\(617\) | −2.51851e12 | + | 4.36219e12i | −0.699617 | + | 1.21177i | 0.268982 | + | 0.963145i | \(0.413313\pi\) |
−0.968599 | + | 0.248627i | \(0.920021\pi\) | |||||||
\(618\) | −5.04487e11 | + | 8.73797e11i | −0.139124 | + | 0.240970i | ||||
\(619\) | −6.13847e12 | −1.68055 | −0.840276 | − | 0.542158i | \(-0.817607\pi\) | ||||
−0.840276 | + | 0.542158i | \(0.817607\pi\) | |||||||
\(620\) | 4.63227e11 | 0.125902 | ||||||||
\(621\) | 3.47628e11 | − | 6.02110e11i | 0.0938000 | − | 0.162466i | ||||
\(622\) | 3.84762e11 | + | 6.66427e11i | 0.103071 | + | 0.178524i | ||||
\(623\) | −1.60330e11 | + | 2.77699e11i | −0.0426401 | + | 0.0738548i | ||||
\(624\) | 3.55246e11 | + | 6.15304e11i | 0.0937991 | + | 0.162465i | ||||
\(625\) | −1.63637e12 | − | 2.83428e12i | −0.428965 | − | 0.742989i | ||||
\(626\) | −5.67800e11 | −0.147778 | ||||||||
\(627\) | 8.36443e12 | − | 3.29754e12i | 2.16139 | − | 0.852092i | ||||
\(628\) | −8.10565e11 | −0.207955 | ||||||||
\(629\) | 8.08112e9 | + | 1.39969e10i | 0.00205847 | + | 0.00356537i | ||||
\(630\) | −3.89771e11 | − | 6.75103e11i | −0.0985773 | − | 0.170741i | ||||
\(631\) | 9.56287e11 | − | 1.65634e12i | 0.240135 | − | 0.415927i | −0.720617 | − | 0.693333i | \(-0.756141\pi\) |
0.960753 | + | 0.277406i | \(0.0894748\pi\) | |||||||
\(632\) | −1.17454e12 | − | 2.03436e12i | −0.292846 | − | 0.507224i | ||||
\(633\) | −3.25708e12 | + | 5.64144e12i | −0.806329 | + | 1.39660i | ||||
\(634\) | 5.33233e12 | 1.31074 | ||||||||
\(635\) | −4.40518e11 | −0.107518 | ||||||||
\(636\) | −2.13263e12 | + | 3.69382e12i | −0.516842 | + | 0.895196i | ||||
\(637\) | 3.20812e12 | − | 5.55662e12i | 0.772009 | − | 1.33716i | ||||
\(638\) | −2.77140e12 | −0.662227 | ||||||||
\(639\) | 1.81546e12 | 0.430757 | ||||||||
\(640\) | −4.11508e10 | + | 7.12753e10i | −0.00969546 | + | 0.0167930i | ||||
\(641\) | 1.82231e12 | + | 3.15634e12i | 0.426346 | + | 0.738453i | 0.996545 | − | 0.0830538i | \(-0.0264673\pi\) |
−0.570199 | + | 0.821506i | \(0.693134\pi\) | |||||||
\(642\) | 2.42122e12 | − | 4.19367e12i | 0.562505 | − | 0.974286i | ||||
\(643\) | −2.56864e12 | − | 4.44902e12i | −0.592590 | − | 1.02640i | −0.993882 | − | 0.110445i | \(-0.964772\pi\) |
0.401293 | − | 0.915950i | \(-0.368561\pi\) | |||||||
\(644\) | −9.04889e11 | − | 1.56731e12i | −0.207305 | − | 0.359062i | ||||
\(645\) | 2.03026e11 | 0.0461885 | ||||||||
\(646\) | 2.17901e12 | + | 1.73227e12i | 0.492282 | + | 0.391354i | ||||
\(647\) | −4.53666e12 | −1.01781 | −0.508905 | − | 0.860823i | \(-0.669949\pi\) | ||||
−0.508905 | + | 0.860823i | \(0.669949\pi\) | |||||||
\(648\) | 9.70251e11 | + | 1.68052e12i | 0.216171 | + | 0.374418i | ||||
\(649\) | 5.75382e12 | + | 9.96590e12i | 1.27308 | + | 2.20504i | ||||
\(650\) | −8.90743e11 | + | 1.54281e12i | −0.195723 | + | 0.339003i | ||||
\(651\) | −6.48721e12 | − | 1.12362e13i | −1.41561 | − | 2.45191i | ||||
\(652\) | 9.06435e11 | − | 1.56999e12i | 0.196437 | − | 0.340238i | ||||
\(653\) | −3.91146e12 | −0.841840 | −0.420920 | − | 0.907098i | \(-0.638293\pi\) | ||||
−0.420920 | + | 0.907098i | \(0.638293\pi\) | |||||||
\(654\) | −3.52268e12 | −0.752964 | ||||||||
\(655\) | 4.30241e11 | − | 7.45199e11i | 0.0913326 | − | 0.158193i | ||||
\(656\) | −3.82256e11 | + | 6.62087e11i | −0.0805912 | + | 0.139588i | ||||
\(657\) | 5.27489e12 | 1.10451 | ||||||||
\(658\) | −2.64256e12 | −0.549551 | ||||||||
\(659\) | 3.39297e12 | − | 5.87680e12i | 0.700803 | − | 1.21383i | −0.267382 | − | 0.963590i | \(-0.586159\pi\) |
0.968185 | − | 0.250235i | \(-0.0805080\pi\) | |||||||
\(660\) | −6.21146e11 | − | 1.07586e12i | −0.127422 | − | 0.220702i | ||||
\(661\) | −2.60442e12 | + | 4.51098e12i | −0.530644 | + | 0.919103i | 0.468716 | + | 0.883349i | \(0.344717\pi\) |
−0.999361 | + | 0.0357543i | \(0.988617\pi\) | |||||||
\(662\) | 1.62896e11 | + | 2.82145e11i | 0.0329648 | + | 0.0570967i | ||||
\(663\) | −1.66019e12 | − | 2.87553e12i | −0.333692 | − | 0.577972i | ||||
\(664\) | −7.02915e11 | −0.140329 | ||||||||
\(665\) | 1.96774e12 | − | 7.75748e11i | 0.390184 | − | 0.153824i | ||||
\(666\) | 1.10481e10 | 0.00217597 | ||||||||
\(667\) | 5.76591e11 | + | 9.98685e11i | 0.112798 | + | 0.195372i | ||||
\(668\) | −6.03102e11 | − | 1.04460e12i | −0.117192 | − | 0.202982i | ||||
\(669\) | −1.39613e12 | + | 2.41818e12i | −0.269470 | + | 0.466735i | ||||
\(670\) | 4.69139e11 | + | 8.12573e11i | 0.0899426 | + | 0.155785i | ||||
\(671\) | −7.55089e12 | + | 1.30785e13i | −1.43796 | + | 2.49062i | ||||
\(672\) | 2.30517e12 | 0.436054 | ||||||||
\(673\) | 9.21437e12 | 1.73140 | 0.865701 | − | 0.500562i | \(-0.166873\pi\) | ||||
0.865701 | + | 0.500562i | \(0.166873\pi\) | |||||||
\(674\) | 2.75816e12 | − | 4.77728e12i | 0.514814 | − | 0.891684i | ||||
\(675\) | −1.11024e12 | + | 1.92298e12i | −0.205849 | + | 0.356540i | ||||
\(676\) | −1.79653e12 | −0.330883 | ||||||||
\(677\) | 6.32914e12 | 1.15797 | 0.578983 | − | 0.815339i | \(-0.303450\pi\) | ||||
0.578983 | + | 0.815339i | \(0.303450\pi\) | |||||||
\(678\) | 4.01790e12 | − | 6.95921e12i | 0.730241 | − | 1.26481i | ||||
\(679\) | −2.27283e12 | − | 3.93666e12i | −0.410348 | − | 0.710744i | ||||
\(680\) | 1.92312e11 | − | 3.33094e11i | 0.0344918 | − | 0.0597416i | ||||
\(681\) | −1.81735e12 | − | 3.14774e12i | −0.323800 | − | 0.560838i | ||||
\(682\) | −4.12825e12 | − | 7.15034e12i | −0.730695 | − | 1.26560i | ||||
\(683\) | −4.54110e12 | −0.798488 | −0.399244 | − | 0.916845i | \(-0.630727\pi\) | ||||
−0.399244 | + | 0.916845i | \(0.630727\pi\) | |||||||
\(684\) | 1.77025e12 | − | 6.97893e11i | 0.309231 | − | 0.121909i | ||||
\(685\) | −2.70820e11 | −0.0469973 | ||||||||
\(686\) | −6.48804e12 | − | 1.12376e13i | −1.11855 | − | 1.93738i | ||||
\(687\) | −7.42354e12 | − | 1.28580e13i | −1.27147 | − | 2.20225i | ||||
\(688\) | −1.19870e11 | + | 2.07620e11i | −0.0203968 | + | 0.0353282i | ||||
\(689\) | 2.75616e12 | + | 4.77380e12i | 0.465927 | + | 0.807009i | ||||
\(690\) | −2.58459e11 | + | 4.47664e11i | −0.0434081 | + | 0.0751850i | ||||
\(691\) | −7.87050e12 | −1.31326 | −0.656631 | − | 0.754212i | \(-0.728019\pi\) | ||||
−0.656631 | + | 0.754212i | \(0.728019\pi\) | |||||||
\(692\) | 2.89504e11 | 0.0479930 | ||||||||
\(693\) | −6.94723e12 | + | 1.20329e13i | −1.14423 | + | 1.98186i | ||||
\(694\) | −2.83374e12 | + | 4.90819e12i | −0.463706 | + | 0.803163i | ||||
\(695\) | 1.85017e11 | 0.0300802 | ||||||||
\(696\) | −1.46884e12 | −0.237265 | ||||||||
\(697\) | 1.78642e12 | − | 3.09416e12i | 0.286705 | − | 0.496587i | ||||
\(698\) | 1.72162e12 | + | 2.98193e12i | 0.274528 | + | 0.475497i | ||||
\(699\) | 4.79353e12 | − | 8.30264e12i | 0.759466 | − | 1.31543i | ||||
\(700\) | 2.88998e12 | + | 5.00560e12i | 0.454940 | + | 0.787979i | ||||
\(701\) | −3.91364e11 | − | 6.77862e11i | −0.0612138 | − | 0.106025i | 0.833794 | − | 0.552075i | \(-0.186164\pi\) |
−0.895008 | + | 0.446050i | \(0.852830\pi\) | |||||||
\(702\) | 1.14449e12 | 0.177867 | ||||||||
\(703\) | −4.42256e9 | + | 2.96488e10i | −0.000682927 | + | 0.00457833i | ||||
\(704\) | 1.46693e12 | 0.225078 | ||||||||
\(705\) | 3.77391e11 | + | 6.53660e11i | 0.0575360 | + | 0.0996553i | ||||
\(706\) | 3.93948e12 | + | 6.82338e12i | 0.596785 | + | 1.03366i | ||||
\(707\) | −1.96845e12 | + | 3.40946e12i | −0.296304 | + | 0.513214i | ||||
\(708\) | 3.04951e12 | + | 5.28191e12i | 0.456122 | + | 0.790027i | ||||
\(709\) | 3.70371e12 | − | 6.41501e12i | 0.550464 | − | 0.953431i | −0.447778 | − | 0.894145i | \(-0.647784\pi\) |
0.998241 | − | 0.0592858i | \(-0.0188823\pi\) | |||||||
\(710\) | 6.80614e11 | 0.100517 | ||||||||
\(711\) | 7.50430e12 | 1.10128 | ||||||||
\(712\) | −5.40750e10 | + | 9.36607e10i | −0.00788564 | + | 0.0136583i | ||||
\(713\) | −1.71777e12 | + | 2.97526e12i | −0.248921 | + | 0.431143i | ||||
\(714\) | −1.07728e13 | −1.55127 | ||||||||
\(715\) | −1.60551e12 | −0.229740 | ||||||||
\(716\) | 2.63301e12 | − | 4.56050e12i | 0.374406 | − | 0.648491i | ||||
\(717\) | 6.16667e12 | + | 1.06810e13i | 0.871394 | + | 1.50930i | ||||
\(718\) | −3.06962e12 | + | 5.31673e12i | −0.431047 | + | 0.746594i | ||||
\(719\) | 5.96025e12 | + | 1.03235e13i | 0.831734 | + | 1.44061i | 0.896662 | + | 0.442715i | \(0.145985\pi\) |
−0.0649283 | + | 0.997890i | \(0.520682\pi\) | |||||||
\(720\) | −1.31460e11 | − | 2.27695e11i | −0.0182304 | − | 0.0315760i | ||||
\(721\) | 4.23070e12 | 0.583047 | ||||||||
\(722\) | 1.16424e12 | + | 5.03003e12i | 0.159450 | + | 0.688895i | ||||
\(723\) | 4.59961e12 | 0.626035 | ||||||||
\(724\) | 2.07066e12 | + | 3.58649e12i | 0.280082 | + | 0.485116i | ||||
\(725\) | −1.84148e12 | − | 3.18954e12i | −0.247541 | − | 0.428753i | ||||
\(726\) | −7.65655e12 | + | 1.32615e13i | −1.02287 | + | 1.77165i | ||||
\(727\) | −3.62143e12 | − | 6.27250e12i | −0.480812 | − | 0.832791i | 0.518945 | − | 0.854807i | \(-0.326325\pi\) |
−0.999758 | + | 0.0220163i | \(0.992991\pi\) | |||||||
\(728\) | 1.48957e12 | − | 2.58001e12i | 0.196549 | − | 0.340432i | ||||
\(729\) | −1.94356e12 | −0.254874 | ||||||||
\(730\) | 1.97755e12 | 0.257736 | ||||||||
\(731\) | 5.60192e11 | − | 9.70281e11i | 0.0725619 | − | 0.125681i | ||||
\(732\) | −4.00196e12 | + | 6.93160e12i | −0.515197 | + | 0.892347i | ||||
\(733\) | 1.01265e13 | 1.29566 | 0.647831 | − | 0.761784i | \(-0.275676\pi\) | ||||
0.647831 | + | 0.761784i | \(0.275676\pi\) | |||||||
\(734\) | −9.42585e12 | −1.19864 | ||||||||
\(735\) | −2.97296e12 | + | 5.14932e12i | −0.375748 | + | 0.650814i | ||||
\(736\) | −3.05195e11 | − | 5.28614e11i | −0.0383379 | − | 0.0664031i | ||||
\(737\) | 8.36188e12 | − | 1.44832e13i | 1.04400 | − | 1.80826i | ||||
\(738\) | −1.22115e12 | − | 2.11509e12i | −0.151536 | − | 0.262468i | ||||
\(739\) | 5.15376e12 | + | 8.92658e12i | 0.635659 | + | 1.10099i | 0.986375 | + | 0.164512i | \(0.0526050\pi\) |
−0.350716 | + | 0.936482i | \(0.614062\pi\) | |||||||
\(740\) | 4.14193e9 | 0.000507761 | ||||||||
\(741\) | 9.08571e11 | − | 6.09105e12i | 0.110707 | − | 0.742181i | ||||
\(742\) | 1.78845e13 | 2.16600 | ||||||||
\(743\) | −2.44223e11 | − | 4.23006e11i | −0.0293993 | − | 0.0509210i | 0.850951 | − | 0.525244i | \(-0.176026\pi\) |
−0.880351 | + | 0.474323i | \(0.842693\pi\) | |||||||
\(744\) | −2.18797e12 | − | 3.78967e12i | −0.261796 | − | 0.453443i | ||||
\(745\) | −7.14737e11 | + | 1.23796e12i | −0.0850047 | + | 0.147232i | ||||
\(746\) | 5.00981e12 | + | 8.67724e12i | 0.592238 | + | 1.02579i | ||||
\(747\) | 1.12276e12 | − | 1.94468e12i | 0.131930 | − | 0.228510i | ||||
\(748\) | −6.85548e12 | −0.800720 | ||||||||
\(749\) | −2.03047e13 | −2.35737 | ||||||||
\(750\) | 1.69264e12 | − | 2.93174e12i | 0.195339 | − | 0.338337i | ||||
\(751\) | 2.63869e12 | − | 4.57035e12i | 0.302698 | − | 0.524288i | −0.674048 | − | 0.738687i | \(-0.735446\pi\) |
0.976746 | + | 0.214399i | \(0.0687794\pi\) | |||||||
\(752\) | −8.91266e11 | −0.101631 | ||||||||
\(753\) | 1.64643e13 | 1.86623 | ||||||||
\(754\) | −9.49148e11 | + | 1.64397e12i | −0.106946 | + | 0.185235i | ||||
\(755\) | −4.59311e11 | − | 7.95550e11i | −0.0514453 | − | 0.0891059i | ||||
\(756\) | 1.85662e12 | − | 3.21577e12i | 0.206717 | − | 0.358044i | ||||
\(757\) | −7.94992e12 | − | 1.37697e13i | −0.879895 | − | 1.52402i | −0.851455 | − | 0.524428i | \(-0.824279\pi\) |
−0.0284407 | − | 0.999595i | \(-0.509054\pi\) | |||||||
\(758\) | 4.12314e12 | + | 7.14149e12i | 0.453646 | + | 0.785738i | ||||
\(759\) | 9.21347e12 | 1.00771 | ||||||||
\(760\) | 6.63666e11 | − | 2.61640e11i | 0.0721587 | − | 0.0284474i | ||||
\(761\) | 9.47787e12 | 1.02442 | 0.512212 | − | 0.858859i | \(-0.328826\pi\) | ||||
0.512212 | + | 0.858859i | \(0.328826\pi\) | |||||||
\(762\) | 2.08070e12 | + | 3.60388e12i | 0.223569 | + | 0.387234i | ||||
\(763\) | 7.38543e12 | + | 1.27919e13i | 0.788888 | + | 1.36639i | ||||
\(764\) | 9.81026e11 | − | 1.69919e12i | 0.104174 | − | 0.180435i | ||||
\(765\) | 6.14356e11 | + | 1.06410e12i | 0.0648550 | + | 0.112332i | ||||
\(766\) | 3.79304e12 | − | 6.56974e12i | 0.398069 | − | 0.689475i | ||||
\(767\) | 7.88225e12 | 0.822377 | ||||||||
\(768\) | 7.77472e11 | 0.0806416 | ||||||||
\(769\) | −8.03696e12 | + | 1.39204e13i | −0.828750 | + | 1.43544i | 0.0702695 | + | 0.997528i | \(0.477614\pi\) |
−0.899019 | + | 0.437909i | \(0.855719\pi\) | |||||||
\(770\) | −2.60451e12 | + | 4.51114e12i | −0.267004 | + | 0.462464i | ||||
\(771\) | −1.63105e13 | −1.66235 | ||||||||
\(772\) | −4.75028e11 | −0.0481329 | ||||||||
\(773\) | −6.29761e12 | + | 1.09078e13i | −0.634407 | + | 1.09883i | 0.352233 | + | 0.935912i | \(0.385422\pi\) |
−0.986640 | + | 0.162914i | \(0.947911\pi\) | |||||||
\(774\) | −3.82933e11 | − | 6.63260e11i | −0.0383521 | − | 0.0664277i | ||||
\(775\) | 5.48610e12 | − | 9.50221e12i | 0.546269 | − | 0.946165i | ||||
\(776\) | −7.66566e11 | − | 1.32773e12i | −0.0758878 | − | 0.131441i | ||||
\(777\) | −5.80051e10 | − | 1.00468e11i | −0.00570915 | − | 0.00988854i | ||||
\(778\) | −1.79589e12 | −0.175741 | ||||||||
\(779\) | 6.16490e12 | − | 2.43041e12i | 0.599801 | − | 0.236462i | ||||
\(780\) | −8.50918e11 | −0.0823118 | ||||||||
\(781\) | −6.06559e12 | − | 1.05059e13i | −0.583369 | − | 1.01042i | ||||
\(782\) | 1.42628e12 | + | 2.47040e12i | 0.136388 | + | 0.236231i | ||||
\(783\) | −1.18303e12 | + | 2.04907e12i | −0.112478 | + | 0.194818i | ||||
\(784\) | −3.51055e12 | − | 6.08046e12i | −0.331859 | − | 0.574796i | ||||
\(785\) | 4.85385e11 | − | 8.40711e11i | 0.0456218 | − | 0.0790193i | ||||
\(786\) | −8.12864e12 | −0.759655 | ||||||||
\(787\) | 6.75203e12 | 0.627405 | 0.313702 | − | 0.949521i | \(-0.398431\pi\) | ||||
0.313702 | + | 0.949521i | \(0.398431\pi\) | |||||||
\(788\) | −2.75989e12 | + | 4.78027e12i | −0.254991 | + | 0.441657i | ||||
\(789\) | −8.42747e12 | + | 1.45968e13i | −0.774196 | + | 1.34095i | ||||
\(790\) | 2.81336e12 | 0.256982 | ||||||||
\(791\) | −3.36947e13 | −3.06033 | ||||||||
\(792\) | −2.34312e12 | + | 4.05840e12i | −0.211607 | + | 0.366515i | ||||
\(793\) | 5.17205e12 | + | 8.95825e12i | 0.464444 | + | 0.804440i | ||||
\(794\) | 2.38541e11 | − | 4.13166e11i | 0.0212996 | − | 0.0368920i | ||||
\(795\) | −2.55413e12 | − | 4.42388e12i | −0.226773 | − | 0.392782i | ||||
\(796\) | −1.23065e12 | − | 2.13155e12i | −0.108649 | − | 0.188186i | ||||
\(797\) | −3.25249e12 | −0.285531 | −0.142766 | − | 0.989757i | \(-0.545599\pi\) | ||||
−0.142766 | + | 0.989757i | \(0.545599\pi\) | |||||||
\(798\) | −1.56406e13 | − | 1.24340e13i | −1.36534 | − | 1.08542i | ||||
\(799\) | 4.16519e12 | 0.361555 | ||||||||
\(800\) | 9.74716e11 | + | 1.68826e12i | 0.0841343 | + | 0.145725i | ||||
\(801\) | −1.72747e11 | − | 2.99207e11i | −0.0148274 | − | 0.0256818i | ||||
\(802\) | 7.45250e11 | − | 1.29081e12i | 0.0636088 | − | 0.110174i | ||||
\(803\) | −1.76238e13 | − | 3.05253e13i | −1.49582 | − | 2.59084i | ||||
\(804\) | 4.43178e12 | − | 7.67607e12i | 0.374047 | − | 0.647869i | ||||
\(805\) | 2.16747e12 | 0.181917 | ||||||||
\(806\) | −5.65536e12 | −0.472011 | ||||||||
\(807\) | 3.47032e12 | − | 6.01077e12i | 0.288031 | − | 0.498884i | ||||
\(808\) | −6.63908e11 | + | 1.14992e12i | −0.0547970 | + | 0.0949111i | ||||
\(809\) | 6.54510e12 | 0.537215 | 0.268608 | − | 0.963250i | \(-0.413437\pi\) | ||||
0.268608 | + | 0.963250i | \(0.413437\pi\) | |||||||
\(810\) | −2.32403e12 | −0.189697 | ||||||||
\(811\) | −3.88298e11 | + | 6.72553e11i | −0.0315190 | + | 0.0545924i | −0.881355 | − | 0.472455i | \(-0.843368\pi\) |
0.849836 | + | 0.527048i | \(0.176701\pi\) | |||||||
\(812\) | 3.07948e12 | + | 5.33381e12i | 0.248585 | + | 0.430562i | ||||
\(813\) | 4.07436e12 | − | 7.05700e12i | 0.327078 | − | 0.566516i | ||||
\(814\) | −3.69126e10 | − | 6.39344e10i | −0.00294689 | − | 0.00510417i | ||||
\(815\) | 1.08559e12 | + | 1.88029e12i | 0.0861898 | + | 0.149285i | ||||
\(816\) | −3.63340e12 | −0.286884 | ||||||||
\(817\) | 1.93322e12 | − | 7.62139e11i | 0.151803 | − | 0.0598460i | ||||
\(818\) | 1.54352e12 | 0.120537 | ||||||||
\(819\) | 4.75856e12 | + | 8.24206e12i | 0.369571 | + | 0.640116i | ||||
\(820\) | −4.57808e11 | − | 7.92946e11i | −0.0353607 | − | 0.0612465i | ||||
\(821\) | 6.51766e12 | − | 1.12889e13i | 0.500666 | − | 0.867178i | −0.499334 | − | 0.866410i | \(-0.666422\pi\) |
1.00000 | 0.000768745i | \(-0.000244699\pi\) | ||||||||
\(822\) | 1.27917e12 | + | 2.21558e12i | 0.0977246 | + | 0.169264i | ||||
\(823\) | 6.93888e11 | − | 1.20185e12i | 0.0527218 | − | 0.0913168i | −0.838460 | − | 0.544963i | \(-0.816544\pi\) |
0.891182 | + | 0.453646i | \(0.149877\pi\) | |||||||
\(824\) | 1.42691e12 | 0.107826 | ||||||||
\(825\) | −2.94255e13 | −2.21147 | ||||||||
\(826\) | 1.27868e13 | − | 2.21474e13i | 0.955768 | − | 1.65544i | ||||
\(827\) | 5.89756e12 | − | 1.02149e13i | 0.438427 | − | 0.759378i | −0.559141 | − | 0.829072i | \(-0.688869\pi\) |
0.997568 | + | 0.0696942i | \(0.0222023\pi\) | |||||||
\(828\) | 1.94994e12 | 0.144173 | ||||||||
\(829\) | −2.93508e12 | −0.215836 | −0.107918 | − | 0.994160i | \(-0.534418\pi\) | ||||
−0.107918 | + | 0.994160i | \(0.534418\pi\) | |||||||
\(830\) | 4.20922e11 | − | 7.29058e11i | 0.0307858 | − | 0.0533225i | ||||
\(831\) | −3.42624e12 | − | 5.93442e12i | −0.249237 | − | 0.431692i | ||||
\(832\) | 5.02394e11 | − | 8.70172e11i | 0.0363487 | − | 0.0629579i | ||||
\(833\) | 1.64060e13 | + | 2.84161e13i | 1.18060 | + | 2.04485i | ||||
\(834\) | −8.73894e11 | − | 1.51363e12i | −0.0625478 | − | 0.108336i | ||||
\(835\) | 1.44461e12 | 0.102840 | ||||||||
\(836\) | −9.95319e12 | − | 7.91258e12i | −0.704749 | − | 0.560261i | ||||
\(837\) | −7.04892e12 | −0.496430 | ||||||||
\(838\) | −2.59838e12 | − | 4.50053e12i | −0.182014 | − | 0.315258i | ||||
\(839\) | 7.27663e11 | + | 1.26035e12i | 0.0506992 | + | 0.0878137i | 0.890261 | − | 0.455450i | \(-0.150522\pi\) |
−0.839562 | + | 0.543264i | \(0.817188\pi\) | |||||||
\(840\) | −1.38039e12 | + | 2.39090e12i | −0.0956630 | + | 0.165693i | ||||
\(841\) | 5.29135e12 | + | 9.16488e12i | 0.364741 | + | 0.631749i | ||||
\(842\) | −2.53554e12 | + | 4.39169e12i | −0.173847 | + | 0.301112i | ||||
\(843\) | −2.75245e12 | −0.187713 | ||||||||
\(844\) | 9.21242e12 | 0.624932 | ||||||||
\(845\) | 1.07580e12 | − | 1.86334e12i | 0.0725901 | − | 0.125730i | ||||
\(846\) | 1.42361e12 | − | 2.46577e12i | 0.0955487 | − | 0.165495i | ||||
\(847\) | 6.42089e13 | 4.28667 | ||||||||
\(848\) | 6.03198e12 | 0.400570 | ||||||||
\(849\) | −4.55573e11 | + | 7.89075e11i | −0.0300935 | + | 0.0521235i | ||||
\(850\) | −4.55518e12 | − | 7.88981e12i | −0.299310 | − | 0.518420i | ||||
\(851\) | −1.53593e10 | + | 2.66031e10i | −0.00100390 | + | 0.00173880i | ||||
\(852\) | −3.21475e12 | − | 5.56811e12i | −0.209011 | − | 0.362018i | ||||
\(853\) | −3.23267e12 | − | 5.59915e12i | −0.209069 | − | 0.362119i | 0.742352 | − | 0.670010i | \(-0.233710\pi\) |
−0.951422 | + | 0.307891i | \(0.900377\pi\) | |||||||
\(854\) | 3.35610e13 | 2.15911 | ||||||||
\(855\) | −3.36219e11 | + | 2.25401e12i | −0.0215166 | + | 0.144247i | ||||
\(856\) | −6.84823e12 | −0.435960 | ||||||||
\(857\) | −3.29165e12 | − | 5.70130e12i | −0.208449 | − | 0.361044i | 0.742777 | − | 0.669539i | \(-0.233508\pi\) |
−0.951226 | + | 0.308495i | \(0.900175\pi\) | |||||||
\(858\) | 7.58332e12 | + | 1.31347e13i | 0.477713 | + | 0.827423i | ||||
\(859\) | −4.80131e12 | + | 8.31611e12i | −0.300878 | + | 0.521136i | −0.976335 | − | 0.216263i | \(-0.930613\pi\) |
0.675457 | + | 0.737399i | \(0.263946\pi\) | |||||||
\(860\) | −1.43561e11 | − | 2.48656e11i | −0.00894941 | − | 0.0155008i | ||||
\(861\) | −1.28226e13 | + | 2.22094e13i | −0.795175 | + | 1.37728i | ||||
\(862\) | 1.83001e13 | 1.12894 | ||||||||
\(863\) | 1.22050e12 | 0.0749011 | 0.0374506 | − | 0.999298i | \(-0.488076\pi\) | ||||
0.0374506 | + | 0.999298i | \(0.488076\pi\) | |||||||
\(864\) | 6.26191e11 | − | 1.08459e12i | 0.0382292 | − | 0.0662149i | ||||
\(865\) | −1.73362e11 | + | 3.00272e11i | −0.0105289 | + | 0.0182365i | ||||
\(866\) | −1.71781e13 | −1.03787 | ||||||||
\(867\) | −4.48659e12 | −0.269668 | ||||||||
\(868\) | −9.17430e12 | + | 1.58904e13i | −0.548573 | + | 0.950156i | ||||
\(869\) | −2.50724e13 | − | 4.34267e13i | −1.49145 | − | 2.58326i | ||||
\(870\) | 8.79575e11 | − | 1.52347e12i | 0.0520519 | − | 0.0901565i | ||||
\(871\) | −5.72754e12 | − | 9.92038e12i | −0.337199 | − | 0.584046i | ||||
\(872\) | 2.49091e12 | + | 4.31439e12i | 0.145893 | + | 0.252694i | ||||
\(873\) | 4.89771e12 | 0.285384 | ||||||||
\(874\) | −7.80562e11 | + | 5.23288e12i | −0.0452487 | + | 0.303347i | ||||
\(875\) | −1.41947e13 | −0.818635 | ||||||||
\(876\) | −9.34059e12 | − | 1.61784e13i | −0.535927 | − | 0.928253i | ||||
\(877\) | 1.01281e13 | + | 1.75424e13i | 0.578135 | + | 1.00136i | 0.995693 | + | 0.0927094i | \(0.0295528\pi\) |
−0.417558 | + | 0.908650i | \(0.637114\pi\) | |||||||
\(878\) | 1.04182e13 | − | 1.80448e13i | 0.591652 | − | 1.02477i | ||||
\(879\) | −4.12513e12 | − | 7.14493e12i | −0.233071 | − | 0.403690i | ||||
\(880\) | −8.78433e11 | + | 1.52149e12i | −0.0493784 | + | 0.0855258i | ||||
\(881\) | −1.23969e13 | −0.693301 | −0.346651 | − | 0.937994i | \(-0.612681\pi\) | ||||
−0.346651 | + | 0.937994i | \(0.612681\pi\) | |||||||
\(882\) | 2.24295e13 | 1.24799 | ||||||||
\(883\) | −1.11608e13 | + | 1.93311e13i | −0.617834 | + | 1.07012i | 0.372046 | + | 0.928214i | \(0.378656\pi\) |
−0.989880 | + | 0.141906i | \(0.954677\pi\) | |||||||
\(884\) | −2.34786e12 | + | 4.06661e12i | −0.129311 | + | 0.223974i | ||||
\(885\) | −7.30448e12 | −0.400262 | ||||||||
\(886\) | 5.07798e12 | 0.276847 | ||||||||
\(887\) | −1.21149e13 | + | 2.09836e13i | −0.657147 | + | 1.13821i | 0.324204 | + | 0.945987i | \(0.394904\pi\) |
−0.981351 | + | 0.192225i | \(0.938430\pi\) | |||||||
\(888\) | −1.95636e10 | − | 3.38851e10i | −0.00105582 | − | 0.00182874i | ||||
\(889\) | 8.72453e12 | − | 1.51113e13i | 0.468473 | − | 0.811418i | ||||
\(890\) | −6.47628e10 | − | 1.12172e11i | −0.00345995 | − | 0.00599282i | ||||
\(891\) | 2.07116e13 | + | 3.58736e13i | 1.10094 | + | 1.90689i | ||||
\(892\) | 3.94886e12 | 0.208848 | ||||||||
\(893\) | 6.04727e12 | + | 4.80746e12i | 0.318220 | + | 0.252979i | ||||
\(894\) | 1.35037e13 | 0.707023 | ||||||||
\(895\) | 3.15341e12 | + | 5.46187e12i | 0.164277 | + | 0.284536i | ||||
\(896\) | −1.63000e12 | − | 2.82324e12i | −0.0844892 | − | 0.146340i | ||||
\(897\) | 3.15542e12 | − | 5.46535e12i | 0.162739 | − | 0.281872i | ||||
\(898\) | −8.71051e12 | − | 1.50871e13i | −0.446993 | − | 0.774214i | ||||
\(899\) | 5.84582e12 | − | 1.01253e13i | 0.298488 | − | 0.516996i | ||||
\(900\) | −6.22762e12 | −0.316396 | ||||||||
\(901\) | −2.81895e13 | −1.42504 | ||||||||
\(902\) | −8.15991e12 | + | 1.41334e13i | −0.410446 | + | 0.710913i | ||||
\(903\) | −4.02098e12 | + | 6.96453e12i | −0.201250 | + | 0.348576i | ||||
\(904\) | −1.13643e13 | −0.565961 | ||||||||
\(905\) | −4.95983e12 | −0.245781 | ||||||||
\(906\) | −4.33894e12 | + | 7.51526e12i | −0.213947 | + | 0.370567i | ||||
\(907\) | −5.95057e12 | − | 1.03067e13i | −0.291962 | − | 0.505692i | 0.682312 | − | 0.731061i | \(-0.260975\pi\) |
−0.974273 | + | 0.225369i | \(0.927641\pi\) | |||||||
\(908\) | −2.57012e12 | + | 4.45158e12i | −0.125478 | + | 0.217334i | ||||
\(909\) | −2.12091e12 | − | 3.67352e12i | −0.103035 | − | 0.178462i | ||||
\(910\) | 1.78398e12 | + | 3.08994e12i | 0.0862390 | + | 0.149370i | ||||
\(911\) | −2.17177e13 | −1.04468 | −0.522338 | − | 0.852738i | \(-0.674940\pi\) | ||||
−0.522338 | + | 0.852738i | \(0.674940\pi\) | |||||||
\(912\) | −5.27518e12 | − | 4.19366e12i | −0.252499 | − | 0.200732i | ||||
\(913\) | −1.50049e13 | −0.714685 | ||||||||
\(914\) | 4.97421e12 | + | 8.61558e12i | 0.235758 | + | 0.408344i | ||||
\(915\) | −4.79293e12 | − | 8.30161e12i | −0.226051 | − | 0.391532i | ||||
\(916\) | −1.04985e13 | + | 1.81839e13i | −0.492716 | + | 0.853409i | ||||
\(917\) | 1.70420e13 | + | 2.95176e13i | 0.795899 | + | 1.37854i | ||||
\(918\) | −2.92641e12 | + | 5.06869e12i | −0.136001 | + | 0.235561i | ||||
\(919\) | −4.69724e12 | −0.217232 | −0.108616 | − | 0.994084i | \(-0.534642\pi\) | ||||
−0.108616 | + | 0.994084i | \(0.534642\pi\) | |||||||
\(920\) | 7.31032e11 | 0.0336427 | ||||||||
\(921\) | 2.06368e13 | − | 3.57439e13i | 0.945091 | − | 1.63695i | ||||
\(922\) | −1.84088e12 | + | 3.18850e12i | −0.0838950 | + | 0.145310i | ||||
\(923\) | −8.30935e12 | −0.376842 | ||||||||
\(924\) | 4.92076e13 | 2.22080 | ||||||||
\(925\) | 4.90537e10 | − | 8.49635e10i | 0.00220310 | − | 0.00381588i | ||||
\(926\) | 4.02731e11 | + | 6.97551e11i | 0.0179997 | + | 0.0311764i | ||||
\(927\) | −2.27918e12 | + | 3.94766e12i | −0.101373 | + | 0.175582i | ||||
\(928\) | 1.03863e12 | + | 1.79895e12i | 0.0459720 | + | 0.0796259i | ||||
\(929\) | 1.99213e13 | + | 3.45047e13i | 0.877500 | + | 1.51987i | 0.854076 | + | 0.520149i | \(0.174124\pi\) |
0.0234244 | + | 0.999726i | \(0.492543\pi\) | |||||||
\(930\) | 5.24082e12 | 0.229734 | ||||||||
\(931\) | −8.97853e12 | + | 6.01919e13i | −0.391680 | + | 2.62582i | ||||
\(932\) | −1.35581e13 | −0.588612 | ||||||||
\(933\) | 4.35309e12 | + | 7.53977e12i | 0.188074 | + | 0.325755i | ||||
\(934\) | −1.52745e12 | − | 2.64561e12i | −0.0656757 | − | 0.113754i | ||||
\(935\) | 4.10522e12 | − | 7.11045e12i | 0.175665 | − | 0.304260i | ||||
\(936\) | 1.60494e12 | + | 2.77983e12i | 0.0683466 | + | 0.118380i | ||||
\(937\) | 2.27622e13 | − | 3.94252e13i | 0.964684 | − | 1.67088i | 0.254224 | − | 0.967145i | \(-0.418180\pi\) |
0.710461 | − | 0.703737i | \(-0.248487\pi\) | |||||||
\(938\) | −3.71656e13 | −1.56757 | ||||||||
\(939\) | −6.42392e12 | −0.269653 | ||||||||
\(940\) | 5.33711e11 | − | 9.24414e11i | 0.0222962 | − | 0.0386181i | ||||
\(941\) | 1.50689e13 | − | 2.61001e13i | 0.626511 | − | 1.08515i | −0.361735 | − | 0.932281i | \(-0.617816\pi\) |
0.988247 | − | 0.152868i | \(-0.0488510\pi\) | |||||||
\(942\) | −9.17049e12 | −0.379458 | ||||||||
\(943\) | 6.79067e12 | 0.279647 | ||||||||
\(944\) | 4.31266e12 | − | 7.46975e12i | 0.176755 | − | 0.306149i | ||||
\(945\) | 2.22358e12 | + | 3.85135e12i | 0.0907005 | + | 0.157098i | ||||
\(946\) | −2.55882e12 | + | 4.43200e12i | −0.103879 | + | 0.179924i | ||||
\(947\) | 2.19904e13 | + | 3.80885e13i | 0.888502 | + | 1.53893i | 0.841646 | + | 0.540029i | \(0.181587\pi\) |
0.0468558 | + | 0.998902i | \(0.485080\pi\) | |||||||
\(948\) | −1.32884e13 | − | 2.30161e13i | −0.534360 | − | 0.925538i | ||||
\(949\) | −2.41431e13 | −0.966264 | ||||||||
\(950\) | 2.49292e12 | − | 1.67125e13i | 0.0993005 | − | 0.665709i | ||||
\(951\) | 6.03285e13 | 2.39172 | ||||||||
\(952\) | 7.61754e12 | + | 1.31940e13i | 0.300572 | + | 0.520606i | ||||
\(953\) | −1.19178e13 | − | 2.06423e13i | −0.468036 | − | 0.810663i | 0.531296 | − | 0.847186i | \(-0.321705\pi\) |
−0.999333 | + | 0.0365232i | \(0.988372\pi\) | |||||||
\(954\) | −9.63482e12 | + | 1.66880e13i | −0.376596 | + | 0.652284i | ||||
\(955\) | 1.17492e12 | + | 2.03502e12i | 0.0457082 | + | 0.0791689i | ||||
\(956\) | 8.72099e12 | − | 1.51052e13i | 0.337680 | − | 0.584879i | ||||
\(957\) | −3.13549e13 | −1.20837 | ||||||||
\(958\) | 1.60595e13 | 0.616010 | ||||||||
\(959\) | 5.36364e12 | − | 9.29009e12i | 0.204774 | − | 0.354680i | ||||
\(960\) | −4.65568e11 | + | 8.06388e11i | −0.0176914 | + | 0.0306424i | ||||
\(961\) | 8.39183e12 | 0.317396 | ||||||||
\(962\) | −5.05671e10 | −0.00190362 | ||||||||
\(963\) | 1.09386e13 | − | 1.89462e13i | 0.409868 | − | 0.709913i | ||||
\(964\) | −3.25241e12 | − | 5.63334e12i | −0.121300 | − | 0.210097i | ||||
\(965\) | 2.84458e11 | − | 4.92696e11i | 0.0105595 | − | 0.0182897i | ||||
\(966\) | −1.02376e13 | − | 1.77321e13i | −0.378271 | − | 0.655185i | ||||
\(967\) | −1.11612e13 | − | 1.93317e13i | −0.410478 | − | 0.710969i | 0.584464 | − | 0.811420i | \(-0.301305\pi\) |
−0.994942 | + | 0.100451i | \(0.967972\pi\) | |||||||
\(968\) | 2.16560e13 | 0.792755 | ||||||||
\(969\) | 2.46527e13 | + | 1.95984e13i | 0.898272 | + | 0.714108i | ||||
\(970\) | 1.83615e12 | 0.0665940 | ||||||||
\(971\) | 1.13208e13 | + | 1.96082e13i | 0.408688 | + | 0.707868i | 0.994743 | − | 0.102403i | \(-0.0326532\pi\) |
−0.586055 | + | 0.810271i | \(0.699320\pi\) | |||||||
\(972\) | 7.96802e12 | + | 1.38010e13i | 0.286321 | + | 0.495922i | ||||
\(973\) | −3.66430e12 | + | 6.34676e12i | −0.131064 | + | 0.227009i | ||||
\(974\) | 9.46395e12 | + | 1.63920e13i | 0.336943 | + | 0.583603i | ||||
\(975\) | −1.00776e13 | + | 1.74549e13i | −0.357139 | + | 0.618582i | ||||
\(976\) | 1.13193e13 | 0.399295 | ||||||||
\(977\) | 2.78360e13 | 0.977420 | 0.488710 | − | 0.872446i | \(-0.337468\pi\) | ||||
0.488710 | + | 0.872446i | \(0.337468\pi\) | |||||||
\(978\) | 1.02551e13 | − | 1.77624e13i | 0.358440 | − | 0.620837i | ||||
\(979\) | −1.15432e12 | + | 1.99935e12i | −0.0401611 | + | 0.0695610i | ||||
\(980\) | 8.40880e12 | 0.291217 | ||||||||
\(981\) | −1.59149e13 | −0.548646 | ||||||||
\(982\) | 3.79832e12 | − | 6.57888e12i | 0.130344 | − | 0.225762i | ||||
\(983\) | 1.19010e13 | + | 2.06131e13i | 0.406530 | + | 0.704131i | 0.994498 | − | 0.104753i | \(-0.0334053\pi\) |
−0.587968 | + | 0.808884i | \(0.700072\pi\) | |||||||
\(984\) | −4.32474e12 | + | 7.49066e12i | −0.147056 | + | 0.254708i | ||||
\(985\) | −3.30537e12 | − | 5.72508e12i | −0.111881 | − | 0.193784i | ||||
\(986\) | −4.85386e12 | − | 8.40713e12i | −0.163547 | − | 0.283271i | ||||
\(987\) | −2.98971e13 | −1.00277 | ||||||||
\(988\) | −8.10243e12 | + | 3.19425e12i | −0.270526 | + | 0.106651i | ||||
\(989\) | 2.12945e12 | 0.0707757 | ||||||||
\(990\) | −2.80623e12 | − | 4.86053e12i | −0.0928462 | − | 0.160814i | ||||
\(991\) | −1.49236e13 | − | 2.58485e13i | −0.491521 | − | 0.851340i | 0.508431 | − | 0.861103i | \(-0.330226\pi\) |
−0.999952 | + | 0.00976269i | \(0.996892\pi\) | |||||||
\(992\) | −3.09425e12 | + | 5.35940e12i | −0.101450 | + | 0.175717i | ||||
\(993\) | 1.84296e12 | + | 3.19210e12i | 0.0601512 | + | 0.104185i | ||||
\(994\) | −1.34797e13 | + | 2.33475e13i | −0.437967 | + | 0.758580i | ||||
\(995\) | 2.94778e12 | 0.0953434 | ||||||||
\(996\) | −7.95258e12 | −0.256060 | ||||||||
\(997\) | −1.64919e13 | + | 2.85649e13i | −0.528620 | + | 0.915596i | 0.470824 | + | 0.882227i | \(0.343957\pi\) |
−0.999443 | + | 0.0333686i | \(0.989376\pi\) | |||||||
\(998\) | −4.12495e12 | + | 7.14463e12i | −0.131623 | + | 0.227978i | ||||
\(999\) | −6.30276e10 | −0.00200210 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.10.c.b.7.2 | ✓ | 16 | |
19.11 | even | 3 | inner | 38.10.c.b.11.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.b.7.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
38.10.c.b.11.2 | yes | 16 | 19.11 | even | 3 | inner |