Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(109,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.h (of order \(3\), degree \(2\), not 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.541 |
Dual form | 1134.2.h.l.109.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.00000 | −0.447214 | −0.223607 | − | 0.974679i | \(-0.571783\pi\) | ||||
−0.223607 | + | 0.974679i | \(0.571783\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00000 | + | 1.73205i | 0.755929 | + | 0.654654i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.500000 | − | 0.866025i | −0.158114 | − | 0.273861i | ||||
\(11\) | −5.00000 | −1.50756 | −0.753778 | − | 0.657129i | \(-0.771771\pi\) | ||||
−0.753778 | + | 0.657129i | \(0.771771\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(14\) | −0.500000 | + | 2.59808i | −0.133631 | + | 0.694365i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.00000 | − | 3.46410i | −0.485071 | − | 0.840168i | 0.514782 | − | 0.857321i | \(-0.327873\pi\) |
−0.999853 | + | 0.0171533i | \(0.994540\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.00000 | + | 6.92820i | −0.917663 | + | 1.58944i | −0.114708 | + | 0.993399i | \(0.536593\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.50000 | − | 4.33013i | −0.533002 | − | 0.923186i | ||||
\(23\) | 4.00000 | 0.834058 | 0.417029 | − | 0.908893i | \(-0.363071\pi\) | ||||
0.417029 | + | 0.908893i | \(0.363071\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.50000 | + | 0.866025i | −0.472456 | + | 0.163663i | ||||
\(29\) | −2.50000 | + | 4.33013i | −0.464238 | + | 0.804084i | −0.999167 | − | 0.0408130i | \(-0.987005\pi\) |
0.534928 | + | 0.844897i | \(0.320339\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50000 | + | 2.59808i | −0.269408 | + | 0.466628i | −0.968709 | − | 0.248199i | \(-0.920161\pi\) |
0.699301 | + | 0.714827i | \(0.253495\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.00000 | − | 3.46410i | 0.342997 | − | 0.594089i | ||||
\(35\) | −2.00000 | − | 1.73205i | −0.338062 | − | 0.292770i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | − | 3.46410i | 0.328798 | − | 0.569495i | −0.653476 | − | 0.756948i | \(-0.726690\pi\) |
0.982274 | + | 0.187453i | \(0.0600231\pi\) | |||||||
\(38\) | −8.00000 | −1.29777 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.00000 | 0.158114 | ||||||||
\(41\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.00000 | + | 1.73205i | −0.152499 | + | 0.264135i | −0.932145 | − | 0.362084i | \(-0.882065\pi\) |
0.779647 | + | 0.626219i | \(0.215399\pi\) | |||||||
\(44\) | 2.50000 | − | 4.33013i | 0.376889 | − | 0.652791i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.00000 | + | 3.46410i | 0.294884 | + | 0.510754i | ||||
\(47\) | −3.00000 | − | 5.19615i | −0.437595 | − | 0.757937i | 0.559908 | − | 0.828554i | \(-0.310836\pi\) |
−0.997503 | + | 0.0706177i | \(0.977503\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | −2.00000 | − | 3.46410i | −0.282843 | − | 0.489898i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.50000 | − | 7.79423i | −0.618123 | − | 1.07062i | −0.989828 | − | 0.142269i | \(-0.954560\pi\) |
0.371706 | − | 0.928351i | \(-0.378773\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.00000 | 0.674200 | ||||||||
\(56\) | −2.00000 | − | 1.73205i | −0.267261 | − | 0.231455i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.00000 | −0.656532 | ||||||||
\(59\) | −5.50000 | + | 9.52628i | −0.716039 | + | 1.24022i | 0.246518 | + | 0.969138i | \(0.420713\pi\) |
−0.962557 | + | 0.271078i | \(0.912620\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.00000 | + | 5.19615i | 0.384111 | + | 0.665299i | 0.991645 | − | 0.128994i | \(-0.0411748\pi\) |
−0.607535 | + | 0.794293i | \(0.707841\pi\) | |||||||
\(62\) | −3.00000 | −0.381000 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.00000 | − | 1.73205i | 0.122169 | − | 0.211604i | −0.798454 | − | 0.602056i | \(-0.794348\pi\) |
0.920623 | + | 0.390453i | \(0.127682\pi\) | |||||||
\(68\) | 4.00000 | 0.485071 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.500000 | − | 2.59808i | 0.0597614 | − | 0.310530i | ||||
\(71\) | −2.00000 | −0.237356 | −0.118678 | − | 0.992933i | \(-0.537866\pi\) | ||||
−0.118678 | + | 0.992933i | \(0.537866\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.00000 | − | 8.66025i | −0.585206 | − | 1.01361i | −0.994850 | − | 0.101361i | \(-0.967680\pi\) |
0.409644 | − | 0.912245i | \(-0.365653\pi\) | |||||||
\(74\) | 4.00000 | 0.464991 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.00000 | − | 6.92820i | −0.458831 | − | 0.794719i | ||||
\(77\) | −10.0000 | − | 8.66025i | −1.13961 | − | 0.986928i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.50000 | − | 2.59808i | −0.168763 | − | 0.292306i | 0.769222 | − | 0.638982i | \(-0.220644\pi\) |
−0.937985 | + | 0.346675i | \(0.887311\pi\) | |||||||
\(80\) | 0.500000 | + | 0.866025i | 0.0559017 | + | 0.0968246i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −3.50000 | + | 6.06218i | −0.384175 | + | 0.665410i | −0.991654 | − | 0.128925i | \(-0.958847\pi\) |
0.607479 | + | 0.794335i | \(0.292181\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.00000 | + | 3.46410i | 0.216930 | + | 0.375735i | ||||
\(86\) | −2.00000 | −0.215666 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.00000 | 0.533002 | ||||||||
\(89\) | −3.00000 | + | 5.19615i | −0.317999 | + | 0.550791i | −0.980071 | − | 0.198650i | \(-0.936344\pi\) |
0.662071 | + | 0.749441i | \(0.269678\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −2.00000 | + | 3.46410i | −0.208514 | + | 0.361158i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.00000 | − | 5.19615i | 0.309426 | − | 0.535942i | ||||
\(95\) | 4.00000 | − | 6.92820i | 0.410391 | − | 0.710819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.50000 | + | 6.06218i | −0.355371 | + | 0.615521i | −0.987181 | − | 0.159602i | \(-0.948979\pi\) |
0.631810 | + | 0.775123i | \(0.282312\pi\) | |||||||
\(98\) | −5.50000 | + | 4.33013i | −0.555584 | + | 0.437409i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.00000 | − | 3.46410i | 0.200000 | − | 0.346410i | ||||
\(101\) | −10.0000 | −0.995037 | −0.497519 | − | 0.867453i | \(-0.665755\pi\) | ||||
−0.497519 | + | 0.867453i | \(0.665755\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.00000 | 0.788263 | 0.394132 | − | 0.919054i | \(-0.371045\pi\) | ||||
0.394132 | + | 0.919054i | \(0.371045\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.50000 | − | 7.79423i | 0.437079 | − | 0.757042i | ||||
\(107\) | 1.50000 | − | 2.59808i | 0.145010 | − | 0.251166i | −0.784366 | − | 0.620298i | \(-0.787012\pi\) |
0.929377 | + | 0.369132i | \(0.120345\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.00000 | + | 1.73205i | 0.0957826 | + | 0.165900i | 0.909935 | − | 0.414751i | \(-0.136131\pi\) |
−0.814152 | + | 0.580651i | \(0.802798\pi\) | |||||||
\(110\) | 2.50000 | + | 4.33013i | 0.238366 | + | 0.412861i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.500000 | − | 2.59808i | 0.0472456 | − | 0.245495i | ||||
\(113\) | 8.00000 | + | 13.8564i | 0.752577 | + | 1.30350i | 0.946570 | + | 0.322498i | \(0.104523\pi\) |
−0.193993 | + | 0.981003i | \(0.562144\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.00000 | −0.373002 | ||||||||
\(116\) | −2.50000 | − | 4.33013i | −0.232119 | − | 0.402042i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −11.0000 | −1.01263 | ||||||||
\(119\) | 2.00000 | − | 10.3923i | 0.183340 | − | 0.952661i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 14.0000 | 1.27273 | ||||||||
\(122\) | −3.00000 | + | 5.19615i | −0.271607 | + | 0.470438i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.50000 | − | 2.59808i | −0.134704 | − | 0.233314i | ||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.00000 | 0.798621 | 0.399310 | − | 0.916816i | \(-0.369250\pi\) | ||||
0.399310 | + | 0.916816i | \(0.369250\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.00000 | −0.0873704 | −0.0436852 | − | 0.999045i | \(-0.513910\pi\) | ||||
−0.0436852 | + | 0.999045i | \(0.513910\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −20.0000 | + | 6.92820i | −1.73422 | + | 0.600751i | ||||
\(134\) | 2.00000 | 0.172774 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.00000 | + | 3.46410i | 0.171499 | + | 0.297044i | ||||
\(137\) | 2.00000 | 0.170872 | 0.0854358 | − | 0.996344i | \(-0.472772\pi\) | ||||
0.0854358 | + | 0.996344i | \(0.472772\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.00000 | + | 12.1244i | 0.593732 | + | 1.02837i | 0.993724 | + | 0.111856i | \(0.0356795\pi\) |
−0.399992 | + | 0.916519i | \(0.630987\pi\) | |||||||
\(140\) | 2.50000 | − | 0.866025i | 0.211289 | − | 0.0731925i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.00000 | − | 1.73205i | −0.0839181 | − | 0.145350i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.50000 | − | 4.33013i | 0.207614 | − | 0.359597i | ||||
\(146\) | 5.00000 | − | 8.66025i | 0.413803 | − | 0.716728i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.00000 | + | 3.46410i | 0.164399 | + | 0.284747i | ||||
\(149\) | 18.0000 | 1.47462 | 0.737309 | − | 0.675556i | \(-0.236096\pi\) | ||||
0.737309 | + | 0.675556i | \(0.236096\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 19.0000 | 1.54620 | 0.773099 | − | 0.634285i | \(-0.218706\pi\) | ||||
0.773099 | + | 0.634285i | \(0.218706\pi\) | |||||||
\(152\) | 4.00000 | − | 6.92820i | 0.324443 | − | 0.561951i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.50000 | − | 12.9904i | 0.201456 | − | 1.04679i | ||||
\(155\) | 1.50000 | − | 2.59808i | 0.120483 | − | 0.208683i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.00000 | − | 3.46410i | 0.159617 | − | 0.276465i | −0.775113 | − | 0.631822i | \(-0.782307\pi\) |
0.934731 | + | 0.355357i | \(0.115641\pi\) | |||||||
\(158\) | 1.50000 | − | 2.59808i | 0.119334 | − | 0.206692i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | 8.00000 | + | 6.92820i | 0.630488 | + | 0.546019i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.00000 | − | 3.46410i | 0.156652 | − | 0.271329i | −0.777007 | − | 0.629492i | \(-0.783263\pi\) |
0.933659 | + | 0.358162i | \(0.116597\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.00000 | −0.543305 | ||||||||
\(167\) | −7.00000 | − | 12.1244i | −0.541676 | − | 0.938211i | −0.998808 | − | 0.0488118i | \(-0.984457\pi\) |
0.457132 | − | 0.889399i | \(-0.348877\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.50000 | − | 11.2583i | 0.500000 | − | 0.866025i | ||||
\(170\) | −2.00000 | + | 3.46410i | −0.153393 | + | 0.265684i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | − | 1.73205i | −0.0762493 | − | 0.132068i | ||||
\(173\) | 11.0000 | + | 19.0526i | 0.836315 | + | 1.44854i | 0.892956 | + | 0.450145i | \(0.148628\pi\) |
−0.0566411 | + | 0.998395i | \(0.518039\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.00000 | − | 6.92820i | −0.604743 | − | 0.523723i | ||||
\(176\) | 2.50000 | + | 4.33013i | 0.188445 | + | 0.326396i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.00000 | −0.449719 | ||||||||
\(179\) | 6.00000 | + | 10.3923i | 0.448461 | + | 0.776757i | 0.998286 | − | 0.0585225i | \(-0.0186389\pi\) |
−0.549825 | + | 0.835280i | \(0.685306\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.00000 | −0.294884 | ||||||||
\(185\) | −2.00000 | + | 3.46410i | −0.147043 | + | 0.254686i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 10.0000 | + | 17.3205i | 0.731272 | + | 1.26660i | ||||
\(188\) | 6.00000 | 0.437595 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.00000 | 0.580381 | ||||||||
\(191\) | 12.0000 | + | 20.7846i | 0.868290 | + | 1.50392i | 0.863743 | + | 0.503932i | \(0.168114\pi\) |
0.00454614 | + | 0.999990i | \(0.498553\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.50000 | + | 4.33013i | −0.179954 | + | 0.311689i | −0.941865 | − | 0.335993i | \(-0.890928\pi\) |
0.761911 | + | 0.647682i | \(0.224262\pi\) | |||||||
\(194\) | −7.00000 | −0.502571 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.50000 | − | 2.59808i | −0.464286 | − | 0.185577i | ||||
\(197\) | −2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.00000 | + | 3.46410i | 0.141776 | + | 0.245564i | 0.928166 | − | 0.372168i | \(-0.121385\pi\) |
−0.786389 | + | 0.617731i | \(0.788052\pi\) | |||||||
\(200\) | 4.00000 | 0.282843 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −5.00000 | − | 8.66025i | −0.351799 | − | 0.609333i | ||||
\(203\) | −12.5000 | + | 4.33013i | −0.877328 | + | 0.303915i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 4.00000 | + | 6.92820i | 0.278693 | + | 0.482711i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 20.0000 | − | 34.6410i | 1.38343 | − | 2.39617i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.00000 | − | 1.73205i | −0.0688428 | − | 0.119239i | 0.829549 | − | 0.558433i | \(-0.188597\pi\) |
−0.898392 | + | 0.439194i | \(0.855264\pi\) | |||||||
\(212\) | 9.00000 | 0.618123 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.00000 | 0.205076 | ||||||||
\(215\) | 1.00000 | − | 1.73205i | 0.0681994 | − | 0.118125i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.50000 | + | 2.59808i | −0.509133 | + | 0.176369i | ||||
\(218\) | −1.00000 | + | 1.73205i | −0.0677285 | + | 0.117309i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.50000 | + | 4.33013i | −0.168550 | + | 0.291937i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.50000 | − | 6.06218i | 0.234377 | − | 0.405953i | −0.724714 | − | 0.689050i | \(-0.758028\pi\) |
0.959092 | + | 0.283096i | \(0.0913615\pi\) | |||||||
\(224\) | 2.50000 | − | 0.866025i | 0.167038 | − | 0.0578638i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.00000 | + | 13.8564i | −0.532152 | + | 0.921714i | ||||
\(227\) | −3.00000 | −0.199117 | −0.0995585 | − | 0.995032i | \(-0.531743\pi\) | ||||
−0.0995585 | + | 0.995032i | \(0.531743\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −20.0000 | −1.32164 | −0.660819 | − | 0.750546i | \(-0.729791\pi\) | ||||
−0.660819 | + | 0.750546i | \(0.729791\pi\) | |||||||
\(230\) | −2.00000 | − | 3.46410i | −0.131876 | − | 0.228416i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.50000 | − | 4.33013i | 0.164133 | − | 0.284287i | ||||
\(233\) | −2.00000 | + | 3.46410i | −0.131024 | + | 0.226941i | −0.924072 | − | 0.382219i | \(-0.875160\pi\) |
0.793047 | + | 0.609160i | \(0.208493\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.00000 | + | 5.19615i | 0.195698 | + | 0.338960i | ||||
\(236\) | −5.50000 | − | 9.52628i | −0.358020 | − | 0.620108i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.0000 | − | 3.46410i | 0.648204 | − | 0.224544i | ||||
\(239\) | −6.00000 | − | 10.3923i | −0.388108 | − | 0.672222i | 0.604087 | − | 0.796918i | \(-0.293538\pi\) |
−0.992195 | + | 0.124696i | \(0.960204\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −25.0000 | −1.61039 | −0.805196 | − | 0.593009i | \(-0.797940\pi\) | ||||
−0.805196 | + | 0.593009i | \(0.797940\pi\) | |||||||
\(242\) | 7.00000 | + | 12.1244i | 0.449977 | + | 0.779383i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.00000 | −0.384111 | ||||||||
\(245\) | −1.00000 | − | 6.92820i | −0.0638877 | − | 0.442627i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 1.50000 | − | 2.59808i | 0.0952501 | − | 0.164978i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.50000 | + | 7.79423i | 0.284605 | + | 0.492950i | ||||
\(251\) | −21.0000 | −1.32551 | −0.662754 | − | 0.748837i | \(-0.730613\pi\) | ||||
−0.662754 | + | 0.748837i | \(0.730613\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −20.0000 | −1.25739 | ||||||||
\(254\) | 4.50000 | + | 7.79423i | 0.282355 | + | 0.489053i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.00000 | 0.374270 | 0.187135 | − | 0.982334i | \(-0.440080\pi\) | ||||
0.187135 | + | 0.982334i | \(0.440080\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.0000 | − | 3.46410i | 0.621370 | − | 0.215249i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.500000 | − | 0.866025i | −0.0308901 | − | 0.0535032i | ||||
\(263\) | 30.0000 | 1.84988 | 0.924940 | − | 0.380114i | \(-0.124115\pi\) | ||||
0.924940 | + | 0.380114i | \(0.124115\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.50000 | + | 7.79423i | 0.276433 | + | 0.478796i | ||||
\(266\) | −16.0000 | − | 13.8564i | −0.981023 | − | 0.849591i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.00000 | + | 1.73205i | 0.0610847 | + | 0.105802i | ||||
\(269\) | 15.5000 | + | 26.8468i | 0.945052 | + | 1.63688i | 0.755648 | + | 0.654978i | \(0.227322\pi\) |
0.189404 | + | 0.981899i | \(0.439344\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.50000 | + | 12.9904i | −0.455593 | + | 0.789109i | −0.998722 | − | 0.0505395i | \(-0.983906\pi\) |
0.543130 | + | 0.839649i | \(0.317239\pi\) | |||||||
\(272\) | −2.00000 | + | 3.46410i | −0.121268 | + | 0.210042i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.00000 | + | 1.73205i | 0.0604122 | + | 0.104637i | ||||
\(275\) | 20.0000 | 1.20605 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.0000 | −0.961347 | −0.480673 | − | 0.876900i | \(-0.659608\pi\) | ||||
−0.480673 | + | 0.876900i | \(0.659608\pi\) | |||||||
\(278\) | −7.00000 | + | 12.1244i | −0.419832 | + | 0.727171i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.00000 | + | 1.73205i | 0.119523 | + | 0.103510i | ||||
\(281\) | 1.00000 | − | 1.73205i | 0.0596550 | − | 0.103325i | −0.834656 | − | 0.550772i | \(-0.814333\pi\) |
0.894311 | + | 0.447447i | \(0.147667\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.00000 | + | 8.66025i | −0.297219 | + | 0.514799i | −0.975499 | − | 0.220005i | \(-0.929393\pi\) |
0.678280 | + | 0.734804i | \(0.262726\pi\) | |||||||
\(284\) | 1.00000 | − | 1.73205i | 0.0593391 | − | 0.102778i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.500000 | − | 0.866025i | 0.0294118 | − | 0.0509427i | ||||
\(290\) | 5.00000 | 0.293610 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 10.0000 | 0.585206 | ||||||||
\(293\) | −10.5000 | − | 18.1865i | −0.613417 | − | 1.06247i | −0.990660 | − | 0.136355i | \(-0.956461\pi\) |
0.377244 | − | 0.926114i | \(-0.376872\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 5.50000 | − | 9.52628i | 0.320222 | − | 0.554641i | ||||
\(296\) | −2.00000 | + | 3.46410i | −0.116248 | + | 0.201347i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.00000 | + | 15.5885i | 0.521356 | + | 0.903015i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.00000 | + | 1.73205i | −0.288195 | + | 0.0998337i | ||||
\(302\) | 9.50000 | + | 16.4545i | 0.546664 | + | 0.946849i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 8.00000 | 0.458831 | ||||||||
\(305\) | −3.00000 | − | 5.19615i | −0.171780 | − | 0.297531i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 28.0000 | 1.59804 | 0.799022 | − | 0.601302i | \(-0.205351\pi\) | ||||
0.799022 | + | 0.601302i | \(0.205351\pi\) | |||||||
\(308\) | 12.5000 | − | 4.33013i | 0.712254 | − | 0.246732i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.00000 | 0.170389 | ||||||||
\(311\) | −16.0000 | + | 27.7128i | −0.907277 | + | 1.57145i | −0.0894452 | + | 0.995992i | \(0.528509\pi\) |
−0.817832 | + | 0.575458i | \(0.804824\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.500000 | − | 0.866025i | −0.0282617 | − | 0.0489506i | 0.851549 | − | 0.524276i | \(-0.175664\pi\) |
−0.879810 | + | 0.475325i | \(0.842331\pi\) | |||||||
\(314\) | 4.00000 | 0.225733 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.00000 | 0.168763 | ||||||||
\(317\) | 1.50000 | + | 2.59808i | 0.0842484 | + | 0.145922i | 0.905071 | − | 0.425261i | \(-0.139818\pi\) |
−0.820822 | + | 0.571184i | \(0.806484\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.5000 | − | 21.6506i | 0.699866 | − | 1.21220i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.00000 | + | 10.3923i | −0.111456 | + | 0.579141i | ||||
\(323\) | 32.0000 | 1.78053 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.00000 | 0.221540 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3.00000 | − | 15.5885i | 0.165395 | − | 0.859419i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.00000 | + | 3.46410i | 0.109930 | + | 0.190404i | 0.915742 | − | 0.401768i | \(-0.131604\pi\) |
−0.805812 | + | 0.592172i | \(0.798271\pi\) | |||||||
\(332\) | −3.50000 | − | 6.06218i | −0.192087 | − | 0.332705i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.00000 | − | 12.1244i | 0.383023 | − | 0.663415i | ||||
\(335\) | −1.00000 | + | 1.73205i | −0.0546358 | + | 0.0946320i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.50000 | − | 7.79423i | −0.245131 | − | 0.424579i | 0.717038 | − | 0.697034i | \(-0.245498\pi\) |
−0.962168 | + | 0.272456i | \(0.912164\pi\) | |||||||
\(338\) | 13.0000 | 0.707107 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.00000 | −0.216930 | ||||||||
\(341\) | 7.50000 | − | 12.9904i | 0.406148 | − | 0.703469i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0000 | + | 15.5885i | −0.539949 | + | 0.841698i | ||||
\(344\) | 1.00000 | − | 1.73205i | 0.0539164 | − | 0.0933859i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.0000 | + | 19.0526i | −0.591364 | + | 1.02427i | ||||
\(347\) | 6.00000 | − | 10.3923i | 0.322097 | − | 0.557888i | −0.658824 | − | 0.752297i | \(-0.728946\pi\) |
0.980921 | + | 0.194409i | \(0.0622790\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.00000 | − | 12.1244i | 0.374701 | − | 0.649002i | −0.615581 | − | 0.788074i | \(-0.711079\pi\) |
0.990282 | + | 0.139072i | \(0.0444119\pi\) | |||||||
\(350\) | 2.00000 | − | 10.3923i | 0.106904 | − | 0.555492i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.50000 | + | 4.33013i | −0.133250 | + | 0.230797i | ||||
\(353\) | −24.0000 | −1.27739 | −0.638696 | − | 0.769460i | \(-0.720526\pi\) | ||||
−0.638696 | + | 0.769460i | \(0.720526\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.00000 | 0.106149 | ||||||||
\(356\) | −3.00000 | − | 5.19615i | −0.159000 | − | 0.275396i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −6.00000 | + | 10.3923i | −0.317110 | + | 0.549250i | ||||
\(359\) | 5.00000 | − | 8.66025i | 0.263890 | − | 0.457071i | −0.703382 | − | 0.710812i | \(-0.748328\pi\) |
0.967272 | + | 0.253741i | \(0.0816611\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −22.5000 | − | 38.9711i | −1.18421 | − | 2.05111i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.00000 | + | 8.66025i | 0.261712 | + | 0.453298i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 17.0000 | 0.887393 | 0.443696 | − | 0.896177i | \(-0.353667\pi\) | ||||
0.443696 | + | 0.896177i | \(0.353667\pi\) | |||||||
\(368\) | −2.00000 | − | 3.46410i | −0.104257 | − | 0.180579i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.00000 | −0.207950 | ||||||||
\(371\) | 4.50000 | − | 23.3827i | 0.233628 | − | 1.21397i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −32.0000 | −1.65690 | −0.828449 | − | 0.560065i | \(-0.810776\pi\) | ||||
−0.828449 | + | 0.560065i | \(0.810776\pi\) | |||||||
\(374\) | −10.0000 | + | 17.3205i | −0.517088 | + | 0.895622i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.00000 | + | 5.19615i | 0.154713 | + | 0.267971i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0000 | 0.821865 | 0.410932 | − | 0.911666i | \(-0.365203\pi\) | ||||
0.410932 | + | 0.911666i | \(0.365203\pi\) | |||||||
\(380\) | 4.00000 | + | 6.92820i | 0.205196 | + | 0.355409i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.0000 | + | 20.7846i | −0.613973 | + | 1.06343i | ||||
\(383\) | 34.0000 | 1.73732 | 0.868659 | − | 0.495410i | \(-0.164982\pi\) | ||||
0.868659 | + | 0.495410i | \(0.164982\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.0000 | + | 8.66025i | 0.509647 | + | 0.441367i | ||||
\(386\) | −5.00000 | −0.254493 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.50000 | − | 6.06218i | −0.177686 | − | 0.307760i | ||||
\(389\) | 2.00000 | 0.101404 | 0.0507020 | − | 0.998714i | \(-0.483854\pi\) | ||||
0.0507020 | + | 0.998714i | \(0.483854\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.00000 | − | 13.8564i | −0.404577 | − | 0.700749i | ||||
\(392\) | −1.00000 | − | 6.92820i | −0.0505076 | − | 0.349927i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.00000 | − | 1.73205i | −0.0503793 | − | 0.0872595i | ||||
\(395\) | 1.50000 | + | 2.59808i | 0.0754732 | + | 0.130723i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.0000 | + | 31.1769i | −0.903394 | + | 1.56472i | −0.0803356 | + | 0.996768i | \(0.525599\pi\) |
−0.823058 | + | 0.567957i | \(0.807734\pi\) | |||||||
\(398\) | −2.00000 | + | 3.46410i | −0.100251 | + | 0.173640i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.00000 | + | 3.46410i | 0.100000 | + | 0.173205i | ||||
\(401\) | −24.0000 | −1.19850 | −0.599251 | − | 0.800561i | \(-0.704535\pi\) | ||||
−0.599251 | + | 0.800561i | \(0.704535\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 5.00000 | − | 8.66025i | 0.248759 | − | 0.430864i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.0000 | − | 8.66025i | −0.496292 | − | 0.429801i | ||||
\(407\) | −10.0000 | + | 17.3205i | −0.495682 | + | 0.858546i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 12.5000 | − | 21.6506i | 0.618085 | − | 1.07056i | −0.371750 | − | 0.928333i | \(-0.621242\pi\) |
0.989835 | − | 0.142222i | \(-0.0454247\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.00000 | + | 6.92820i | −0.197066 | + | 0.341328i | ||||
\(413\) | −27.5000 | + | 9.52628i | −1.35319 | + | 0.468758i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.50000 | − | 6.06218i | 0.171808 | − | 0.297581i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 40.0000 | 1.95646 | ||||||||
\(419\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.0000 | + | 25.9808i | −0.731055 | + | 1.26622i | 0.225377 | + | 0.974272i | \(0.427639\pi\) |
−0.956433 | + | 0.291953i | \(0.905695\pi\) | |||||||
\(422\) | 1.00000 | − | 1.73205i | 0.0486792 | − | 0.0843149i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.50000 | + | 7.79423i | 0.218539 | + | 0.378521i | ||||
\(425\) | 8.00000 | + | 13.8564i | 0.388057 | + | 0.672134i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.00000 | + | 15.5885i | −0.145180 | + | 0.754378i | ||||
\(428\) | 1.50000 | + | 2.59808i | 0.0725052 | + | 0.125583i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.00000 | 0.0964486 | ||||||||
\(431\) | 6.00000 | + | 10.3923i | 0.289010 | + | 0.500580i | 0.973574 | − | 0.228373i | \(-0.0733406\pi\) |
−0.684564 | + | 0.728953i | \(0.740007\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.0000 | 0.672797 | 0.336399 | − | 0.941720i | \(-0.390791\pi\) | ||||
0.336399 | + | 0.941720i | \(0.390791\pi\) | |||||||
\(434\) | −6.00000 | − | 5.19615i | −0.288009 | − | 0.249423i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.00000 | −0.0957826 | ||||||||
\(437\) | −16.0000 | + | 27.7128i | −0.765384 | + | 1.32568i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.50000 | − | 12.9904i | −0.357955 | − | 0.619997i | 0.629664 | − | 0.776868i | \(-0.283193\pi\) |
−0.987619 | + | 0.156871i | \(0.949859\pi\) | |||||||
\(440\) | −5.00000 | −0.238366 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8.50000 | + | 14.7224i | 0.403847 | + | 0.699484i | 0.994187 | − | 0.107671i | \(-0.0343394\pi\) |
−0.590339 | + | 0.807155i | \(0.701006\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.00000 | − | 5.19615i | 0.142214 | − | 0.246321i | ||||
\(446\) | 7.00000 | 0.331460 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.00000 | + | 1.73205i | 0.0944911 | + | 0.0818317i | ||||
\(449\) | −16.0000 | −0.755087 | −0.377543 | − | 0.925992i | \(-0.623231\pi\) | ||||
−0.377543 | + | 0.925992i | \(0.623231\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −16.0000 | −0.752577 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.50000 | − | 2.59808i | −0.0703985 | − | 0.121934i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.5000 | − | 26.8468i | −0.725059 | − | 1.25584i | −0.958950 | − | 0.283577i | \(-0.908479\pi\) |
0.233890 | − | 0.972263i | \(-0.424854\pi\) | |||||||
\(458\) | −10.0000 | − | 17.3205i | −0.467269 | − | 0.809334i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.00000 | − | 3.46410i | 0.0932505 | − | 0.161515i | ||||
\(461\) | −7.00000 | + | 12.1244i | −0.326023 | + | 0.564688i | −0.981719 | − | 0.190337i | \(-0.939042\pi\) |
0.655696 | + | 0.755025i | \(0.272375\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.00000 | − | 13.8564i | −0.371792 | − | 0.643962i | 0.618050 | − | 0.786139i | \(-0.287923\pi\) |
−0.989841 | + | 0.142177i | \(0.954590\pi\) | |||||||
\(464\) | 5.00000 | 0.232119 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.00000 | −0.185296 | ||||||||
\(467\) | −10.0000 | + | 17.3205i | −0.462745 | + | 0.801498i | −0.999097 | − | 0.0424970i | \(-0.986469\pi\) |
0.536352 | + | 0.843995i | \(0.319802\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.00000 | − | 1.73205i | 0.230879 | − | 0.0799787i | ||||
\(470\) | −3.00000 | + | 5.19615i | −0.138380 | + | 0.239681i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.50000 | − | 9.52628i | 0.253158 | − | 0.438483i | ||||
\(473\) | 5.00000 | − | 8.66025i | 0.229900 | − | 0.398199i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.0000 | − | 27.7128i | 0.734130 | − | 1.27155i | ||||
\(476\) | 8.00000 | + | 6.92820i | 0.366679 | + | 0.317554i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.00000 | − | 10.3923i | 0.274434 | − | 0.475333i | ||||
\(479\) | −38.0000 | −1.73626 | −0.868132 | − | 0.496333i | \(-0.834679\pi\) | ||||
−0.868132 | + | 0.496333i | \(0.834679\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −12.5000 | − | 21.6506i | −0.569359 | − | 0.986159i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.00000 | + | 12.1244i | −0.318182 | + | 0.551107i | ||||
\(485\) | 3.50000 | − | 6.06218i | 0.158927 | − | 0.275269i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.50000 | − | 4.33013i | −0.113286 | − | 0.196217i | 0.803807 | − | 0.594890i | \(-0.202804\pi\) |
−0.917093 | + | 0.398673i | \(0.869471\pi\) | |||||||
\(488\) | −3.00000 | − | 5.19615i | −0.135804 | − | 0.235219i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.50000 | − | 4.33013i | 0.248465 | − | 0.195615i | ||||
\(491\) | 4.50000 | + | 7.79423i | 0.203082 | + | 0.351749i | 0.949520 | − | 0.313707i | \(-0.101571\pi\) |
−0.746438 | + | 0.665455i | \(0.768237\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 20.0000 | 0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.00000 | 0.134704 | ||||||||
\(497\) | −4.00000 | − | 3.46410i | −0.179425 | − | 0.155386i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.0000 | 0.447661 | 0.223831 | − | 0.974628i | \(-0.428144\pi\) | ||||
0.223831 | + | 0.974628i | \(0.428144\pi\) | |||||||
\(500\) | −4.50000 | + | 7.79423i | −0.201246 | + | 0.348569i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.5000 | − | 18.1865i | −0.468638 | − | 0.811705i | ||||
\(503\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.0000 | 0.444994 | ||||||||
\(506\) | −10.0000 | − | 17.3205i | −0.444554 | − | 0.769991i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.50000 | + | 7.79423i | −0.199655 | + | 0.345813i | ||||
\(509\) | −15.0000 | −0.664863 | −0.332432 | − | 0.943127i | \(-0.607869\pi\) | ||||
−0.332432 | + | 0.943127i | \(0.607869\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.00000 | − | 25.9808i | 0.221187 | − | 1.14932i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 3.00000 | + | 5.19615i | 0.132324 | + | 0.229192i | ||||
\(515\) | −8.00000 | −0.352522 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.0000 | + | 25.9808i | 0.659699 | + | 1.14263i | ||||
\(518\) | 8.00000 | + | 6.92820i | 0.351500 | + | 0.304408i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.00000 | − | 15.5885i | −0.394297 | − | 0.682943i | 0.598714 | − | 0.800963i | \(-0.295679\pi\) |
−0.993011 | + | 0.118020i | \(0.962345\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.00000 | + | 6.92820i | −0.174908 | + | 0.302949i | −0.940129 | − | 0.340818i | \(-0.889296\pi\) |
0.765222 | + | 0.643767i | \(0.222629\pi\) | |||||||
\(524\) | 0.500000 | − | 0.866025i | 0.0218426 | − | 0.0378325i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.0000 | + | 25.9808i | 0.654031 | + | 1.13282i | ||||
\(527\) | 12.0000 | 0.522728 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.00000 | −0.304348 | ||||||||
\(530\) | −4.50000 | + | 7.79423i | −0.195468 | + | 0.338560i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.00000 | − | 20.7846i | 0.173422 | − | 0.901127i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.50000 | + | 2.59808i | −0.0648507 | + | 0.112325i | ||||
\(536\) | −1.00000 | + | 1.73205i | −0.0431934 | + | 0.0748132i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.5000 | + | 26.8468i | −0.668252 | + | 1.15745i | ||||
\(539\) | −5.00000 | − | 34.6410i | −0.215365 | − | 1.49209i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.00000 | − | 15.5885i | 0.386940 | − | 0.670200i | −0.605096 | − | 0.796152i | \(-0.706865\pi\) |
0.992036 | + | 0.125952i | \(0.0401986\pi\) | |||||||
\(542\) | −15.0000 | −0.644305 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.00000 | −0.171499 | ||||||||
\(545\) | −1.00000 | − | 1.73205i | −0.0428353 | − | 0.0741929i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.00000 | − | 10.3923i | 0.256541 | − | 0.444343i | −0.708772 | − | 0.705438i | \(-0.750750\pi\) |
0.965313 | + | 0.261095i | \(0.0840836\pi\) | |||||||
\(548\) | −1.00000 | + | 1.73205i | −0.0427179 | + | 0.0739895i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 10.0000 | + | 17.3205i | 0.426401 | + | 0.738549i | ||||
\(551\) | −20.0000 | − | 34.6410i | −0.852029 | − | 1.47576i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.50000 | − | 7.79423i | 0.0637865 | − | 0.331444i | ||||
\(554\) | −8.00000 | − | 13.8564i | −0.339887 | − | 0.588702i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.0000 | −0.593732 | ||||||||
\(557\) | −11.5000 | − | 19.9186i | −0.487271 | − | 0.843978i | 0.512622 | − | 0.858614i | \(-0.328674\pi\) |
−0.999893 | + | 0.0146368i | \(0.995341\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −0.500000 | + | 2.59808i | −0.0211289 | + | 0.109789i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.00000 | 0.0843649 | ||||||||
\(563\) | 8.50000 | − | 14.7224i | 0.358232 | − | 0.620477i | −0.629433 | − | 0.777055i | \(-0.716713\pi\) |
0.987666 | + | 0.156578i | \(0.0500463\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.00000 | − | 13.8564i | −0.336563 | − | 0.582943i | ||||
\(566\) | −10.0000 | −0.420331 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.00000 | 0.0839181 | ||||||||
\(569\) | 12.0000 | + | 20.7846i | 0.503066 | + | 0.871336i | 0.999994 | + | 0.00354413i | \(0.00112814\pi\) |
−0.496928 | + | 0.867792i | \(0.665539\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.0000 | − | 25.9808i | 0.627730 | − | 1.08726i | −0.360276 | − | 0.932846i | \(-0.617317\pi\) |
0.988006 | − | 0.154415i | \(-0.0493493\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −16.0000 | −0.667246 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.5000 | − | 26.8468i | −0.645273 | − | 1.11765i | −0.984238 | − | 0.176847i | \(-0.943410\pi\) |
0.338965 | − | 0.940799i | \(-0.389923\pi\) | |||||||
\(578\) | 1.00000 | 0.0415945 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.50000 | + | 4.33013i | 0.103807 | + | 0.179799i | ||||
\(581\) | −17.5000 | + | 6.06218i | −0.726022 | + | 0.251502i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 22.5000 | + | 38.9711i | 0.931855 | + | 1.61402i | ||||
\(584\) | 5.00000 | + | 8.66025i | 0.206901 | + | 0.358364i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.5000 | − | 18.1865i | 0.433751 | − | 0.751279i | ||||
\(587\) | 17.5000 | − | 30.3109i | 0.722302 | − | 1.25106i | −0.237773 | − | 0.971321i | \(-0.576417\pi\) |
0.960075 | − | 0.279743i | \(-0.0902494\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.0000 | − | 20.7846i | −0.494451 | − | 0.856415i | ||||
\(590\) | 11.0000 | 0.452863 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.00000 | −0.164399 | ||||||||
\(593\) | 18.0000 | − | 31.1769i | 0.739171 | − | 1.28028i | −0.213697 | − | 0.976900i | \(-0.568551\pi\) |
0.952869 | − | 0.303383i | \(-0.0981160\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.00000 | + | 10.3923i | −0.0819920 | + | 0.426043i | ||||
\(596\) | −9.00000 | + | 15.5885i | −0.368654 | + | 0.638528i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −15.0000 | + | 25.9808i | −0.612883 | + | 1.06155i | 0.377869 | + | 0.925859i | \(0.376657\pi\) |
−0.990752 | + | 0.135686i | \(0.956676\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.5000 | + | 30.3109i | −0.713840 | + | 1.23641i | 0.249565 | + | 0.968358i | \(0.419712\pi\) |
−0.963405 | + | 0.268049i | \(0.913621\pi\) | |||||||
\(602\) | −4.00000 | − | 3.46410i | −0.163028 | − | 0.141186i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.50000 | + | 16.4545i | −0.386550 | + | 0.669523i | ||||
\(605\) | −14.0000 | −0.569181 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.0000 | −1.09590 | −0.547948 | − | 0.836512i | \(-0.684591\pi\) | ||||
−0.547948 | + | 0.836512i | \(0.684591\pi\) | |||||||
\(608\) | 4.00000 | + | 6.92820i | 0.162221 | + | 0.280976i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.00000 | − | 5.19615i | 0.121466 | − | 0.210386i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.00000 | − | 10.3923i | −0.242338 | − | 0.419741i | 0.719042 | − | 0.694967i | \(-0.244581\pi\) |
−0.961380 | + | 0.275225i | \(0.911248\pi\) | |||||||
\(614\) | 14.0000 | + | 24.2487i | 0.564994 | + | 0.978598i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.0000 | + | 8.66025i | 0.402911 | + | 0.348932i | ||||
\(617\) | 1.00000 | + | 1.73205i | 0.0402585 | + | 0.0697297i | 0.885453 | − | 0.464730i | \(-0.153849\pi\) |
−0.845194 | + | 0.534460i | \(0.820515\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.0000 | 0.401934 | 0.200967 | − | 0.979598i | \(-0.435592\pi\) | ||||
0.200967 | + | 0.979598i | \(0.435592\pi\) | |||||||
\(620\) | 1.50000 | + | 2.59808i | 0.0602414 | + | 0.104341i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.0000 | −1.28308 | ||||||||
\(623\) | −15.0000 | + | 5.19615i | −0.600962 | + | 0.208179i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | 0.500000 | − | 0.866025i | 0.0199840 | − | 0.0346133i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.00000 | + | 3.46410i | 0.0798087 | + | 0.138233i | ||||
\(629\) | −16.0000 | −0.637962 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.0000 | −0.756378 | −0.378189 | − | 0.925728i | \(-0.623453\pi\) | ||||
−0.378189 | + | 0.925728i | \(0.623453\pi\) | |||||||
\(632\) | 1.50000 | + | 2.59808i | 0.0596668 | + | 0.103346i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.50000 | + | 2.59808i | −0.0595726 | + | 0.103183i | ||||
\(635\) | −9.00000 | −0.357154 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 25.0000 | 0.989759 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.500000 | − | 0.866025i | −0.0197642 | − | 0.0342327i | ||||
\(641\) | −26.0000 | −1.02694 | −0.513469 | − | 0.858108i | \(-0.671640\pi\) | ||||
−0.513469 | + | 0.858108i | \(0.671640\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.00000 | − | 12.1244i | −0.276053 | − | 0.478138i | 0.694347 | − | 0.719640i | \(-0.255693\pi\) |
−0.970400 | + | 0.241502i | \(0.922360\pi\) | |||||||
\(644\) | −10.0000 | + | 3.46410i | −0.394055 | + | 0.136505i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.0000 | + | 27.7128i | 0.629512 | + | 1.09035i | ||||
\(647\) | −9.00000 | − | 15.5885i | −0.353827 | − | 0.612845i | 0.633090 | − | 0.774078i | \(-0.281786\pi\) |
−0.986916 | + | 0.161233i | \(0.948453\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.5000 | − | 47.6314i | 1.07947 | − | 1.86970i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.00000 | + | 3.46410i | 0.0783260 | + | 0.135665i | ||||
\(653\) | 39.0000 | 1.52619 | 0.763094 | − | 0.646288i | \(-0.223679\pi\) | ||||
0.763094 | + | 0.646288i | \(0.223679\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.00000 | 0.0390732 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.0000 | − | 5.19615i | 0.584761 | − | 0.202567i | ||||
\(659\) | −20.0000 | + | 34.6410i | −0.779089 | + | 1.34942i | 0.153378 | + | 0.988168i | \(0.450985\pi\) |
−0.932467 | + | 0.361255i | \(0.882348\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.00000 | + | 8.66025i | −0.194477 | + | 0.336845i | −0.946729 | − | 0.322031i | \(-0.895634\pi\) |
0.752252 | + | 0.658876i | \(0.228968\pi\) | |||||||
\(662\) | −2.00000 | + | 3.46410i | −0.0777322 | + | 0.134636i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.50000 | − | 6.06218i | 0.135826 | − | 0.235258i | ||||
\(665\) | 20.0000 | − | 6.92820i | 0.775567 | − | 0.268664i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.0000 | + | 17.3205i | −0.387202 | + | 0.670653i | ||||
\(668\) | 14.0000 | 0.541676 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −2.00000 | −0.0772667 | ||||||||
\(671\) | −15.0000 | − | 25.9808i | −0.579069 | − | 1.00298i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.50000 | − | 16.4545i | 0.366198 | − | 0.634274i | −0.622770 | − | 0.782405i | \(-0.713993\pi\) |
0.988968 | + | 0.148132i | \(0.0473259\pi\) | |||||||
\(674\) | 4.50000 | − | 7.79423i | 0.173334 | − | 0.300222i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.50000 | + | 11.2583i | 0.250000 | + | 0.433013i | ||||
\(677\) | −13.5000 | − | 23.3827i | −0.518847 | − | 0.898670i | −0.999760 | − | 0.0219013i | \(-0.993028\pi\) |
0.480913 | − | 0.876768i | \(-0.340305\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −17.5000 | + | 6.06218i | −0.671588 | + | 0.232645i | ||||
\(680\) | −2.00000 | − | 3.46410i | −0.0766965 | − | 0.132842i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.0000 | 0.574380 | ||||||||
\(683\) | −4.50000 | − | 7.79423i | −0.172188 | − | 0.298238i | 0.766997 | − | 0.641651i | \(-0.221750\pi\) |
−0.939184 | + | 0.343413i | \(0.888417\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.00000 | −0.0764161 | ||||||||
\(686\) | −18.5000 | − | 0.866025i | −0.706333 | − | 0.0330650i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.00000 | 0.0762493 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.00000 | − | 6.92820i | −0.152167 | − | 0.263561i | 0.779857 | − | 0.625958i | \(-0.215292\pi\) |
−0.932024 | + | 0.362397i | \(0.881959\pi\) | |||||||
\(692\) | −22.0000 | −0.836315 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.0000 | 0.455514 | ||||||||
\(695\) | −7.00000 | − | 12.1244i | −0.265525 | − | 0.459903i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 14.0000 | 0.529908 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.0000 | − | 3.46410i | 0.377964 | − | 0.130931i | ||||
\(701\) | 5.00000 | 0.188847 | 0.0944237 | − | 0.995532i | \(-0.469899\pi\) | ||||
0.0944237 | + | 0.995532i | \(0.469899\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.0000 | + | 27.7128i | 0.603451 | + | 1.04521i | ||||
\(704\) | −5.00000 | −0.188445 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.0000 | − | 20.7846i | −0.451626 | − | 0.782239i | ||||
\(707\) | −20.0000 | − | 17.3205i | −0.752177 | − | 0.651405i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.0000 | − | 32.9090i | −0.713560 | − | 1.23592i | −0.963512 | − | 0.267664i | \(-0.913748\pi\) |
0.249952 | − | 0.968258i | \(-0.419585\pi\) | |||||||
\(710\) | 1.00000 | + | 1.73205i | 0.0375293 | + | 0.0650027i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.00000 | − | 5.19615i | 0.112430 | − | 0.194734i | ||||
\(713\) | −6.00000 | + | 10.3923i | −0.224702 | + | 0.389195i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −12.0000 | −0.448461 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 10.0000 | 0.373197 | ||||||||
\(719\) | −3.00000 | + | 5.19615i | −0.111881 | + | 0.193784i | −0.916529 | − | 0.399969i | \(-0.869021\pi\) |
0.804648 | + | 0.593753i | \(0.202354\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.0000 | + | 13.8564i | 0.595871 | + | 0.516040i | ||||
\(722\) | 22.5000 | − | 38.9711i | 0.837363 | − | 1.45036i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 10.0000 | − | 17.3205i | 0.371391 | − | 0.643268i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.50000 | + | 6.06218i | −0.129808 | + | 0.224834i | −0.923602 | − | 0.383353i | \(-0.874769\pi\) |
0.793794 | + | 0.608186i | \(0.208103\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.00000 | + | 8.66025i | −0.185058 | + | 0.320530i | ||||
\(731\) | 8.00000 | 0.295891 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.00000 | −0.221615 | −0.110808 | − | 0.993842i | \(-0.535344\pi\) | ||||
−0.110808 | + | 0.993842i | \(0.535344\pi\) | |||||||
\(734\) | 8.50000 | + | 14.7224i | 0.313741 | + | 0.543415i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.00000 | − | 3.46410i | 0.0737210 | − | 0.127688i | ||||
\(737\) | −5.00000 | + | 8.66025i | −0.184177 | + | 0.319005i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.0000 | + | 25.9808i | 0.551784 | + | 0.955718i | 0.998146 | + | 0.0608653i | \(0.0193860\pi\) |
−0.446362 | + | 0.894852i | \(0.647281\pi\) | |||||||
\(740\) | −2.00000 | − | 3.46410i | −0.0735215 | − | 0.127343i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.5000 | − | 7.79423i | 0.826001 | − | 0.286135i | ||||
\(743\) | 15.0000 | + | 25.9808i | 0.550297 | + | 0.953142i | 0.998253 | + | 0.0590862i | \(0.0188187\pi\) |
−0.447956 | + | 0.894055i | \(0.647848\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.0000 | −0.659469 | ||||||||
\(746\) | −16.0000 | − | 27.7128i | −0.585802 | − | 1.01464i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −20.0000 | −0.731272 | ||||||||
\(749\) | 7.50000 | − | 2.59808i | 0.274044 | − | 0.0949316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 45.0000 | 1.64207 | 0.821037 | − | 0.570875i | \(-0.193396\pi\) | ||||
0.821037 | + | 0.570875i | \(0.193396\pi\) | |||||||
\(752\) | −3.00000 | + | 5.19615i | −0.109399 | + | 0.189484i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −19.0000 | −0.691481 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −54.0000 | −1.96266 | −0.981332 | − | 0.192323i | \(-0.938398\pi\) | ||||
−0.981332 | + | 0.192323i | \(0.938398\pi\) | |||||||
\(758\) | 8.00000 | + | 13.8564i | 0.290573 | + | 0.503287i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.00000 | + | 6.92820i | −0.145095 | + | 0.251312i | ||||
\(761\) | −8.00000 | −0.290000 | −0.145000 | − | 0.989432i | \(-0.546318\pi\) | ||||
−0.145000 | + | 0.989432i | \(0.546318\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.00000 | + | 5.19615i | −0.0362024 | + | 0.188113i | ||||
\(764\) | −24.0000 | −0.868290 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 17.0000 | + | 29.4449i | 0.614235 | + | 1.06389i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.5000 | + | 30.3109i | 0.631066 | + | 1.09304i | 0.987334 | + | 0.158655i | \(0.0507157\pi\) |
−0.356268 | + | 0.934384i | \(0.615951\pi\) | |||||||
\(770\) | −2.50000 | + | 12.9904i | −0.0900937 | + | 0.468141i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.50000 | − | 4.33013i | −0.0899770 | − | 0.155845i | ||||
\(773\) | 5.00000 | + | 8.66025i | 0.179838 | + | 0.311488i | 0.941825 | − | 0.336104i | \(-0.109109\pi\) |
−0.761987 | + | 0.647592i | \(0.775776\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.00000 | − | 10.3923i | 0.215526 | − | 0.373303i | ||||
\(776\) | 3.50000 | − | 6.06218i | 0.125643 | − | 0.217620i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.00000 | + | 1.73205i | 0.0358517 | + | 0.0620970i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.0000 | 0.357828 | ||||||||
\(782\) | 8.00000 | − | 13.8564i | 0.286079 | − | 0.495504i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.50000 | − | 4.33013i | 0.196429 | − | 0.154647i | ||||
\(785\) | −2.00000 | + | 3.46410i | −0.0713831 | + | 0.123639i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.00000 | − | 15.5885i | 0.320815 | − | 0.555668i | −0.659841 | − | 0.751405i | \(-0.729376\pi\) |
0.980656 | + | 0.195737i | \(0.0627098\pi\) | |||||||
\(788\) | 1.00000 | − | 1.73205i | 0.0356235 | − | 0.0617018i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.50000 | + | 2.59808i | −0.0533676 | + | 0.0924354i | ||||
\(791\) | −8.00000 | + | 41.5692i | −0.284447 | + | 1.47803i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −36.0000 | −1.27759 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.00000 | −0.141776 | ||||||||
\(797\) | 10.5000 | + | 18.1865i | 0.371929 | + | 0.644200i | 0.989862 | − | 0.142031i | \(-0.0453631\pi\) |
−0.617933 | + | 0.786231i | \(0.712030\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.0000 | + | 20.7846i | −0.424529 | + | 0.735307i | ||||
\(800\) | −2.00000 | + | 3.46410i | −0.0707107 | + | 0.122474i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −12.0000 | − | 20.7846i | −0.423735 | − | 0.733930i | ||||
\(803\) | 25.0000 | + | 43.3013i | 0.882231 | + | 1.52807i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.00000 | − | 6.92820i | −0.281963 | − | 0.244187i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.0000 | 0.351799 | ||||||||
\(809\) | 20.0000 | + | 34.6410i | 0.703163 | + | 1.21791i | 0.967351 | + | 0.253442i | \(0.0815627\pi\) |
−0.264188 | + | 0.964471i | \(0.585104\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.0000 | −0.491606 | −0.245803 | − | 0.969320i | \(-0.579052\pi\) | ||||
−0.245803 | + | 0.969320i | \(0.579052\pi\) | |||||||
\(812\) | 2.50000 | − | 12.9904i | 0.0877328 | − | 0.455873i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −20.0000 | −0.701000 | ||||||||
\(815\) | −2.00000 | + | 3.46410i | −0.0700569 | + | 0.121342i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.00000 | − | 13.8564i | −0.279885 | − | 0.484774i | ||||
\(818\) | 25.0000 | 0.874105 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −12.5000 | − | 21.6506i | −0.436253 | − | 0.755612i | 0.561144 | − | 0.827718i | \(-0.310361\pi\) |
−0.997397 | + | 0.0721058i | \(0.977028\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.0000 | + | 34.6410i | −0.697156 | + | 1.20751i | 0.272292 | + | 0.962215i | \(0.412218\pi\) |
−0.969448 | + | 0.245295i | \(0.921115\pi\) | |||||||
\(824\) | −8.00000 | −0.278693 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −22.0000 | − | 19.0526i | −0.765478 | − | 0.662923i | ||||
\(827\) | −9.00000 | −0.312961 | −0.156480 | − | 0.987681i | \(-0.550015\pi\) | ||||
−0.156480 | + | 0.987681i | \(0.550015\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.0000 | + | 27.7128i | 0.555703 | + | 0.962506i | 0.997848 | + | 0.0655624i | \(0.0208842\pi\) |
−0.442145 | + | 0.896943i | \(0.645783\pi\) | |||||||
\(830\) | 7.00000 | 0.242974 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 22.0000 | − | 17.3205i | 0.762255 | − | 0.600120i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.00000 | + | 12.1244i | 0.242245 | + | 0.419581i | ||||
\(836\) | 20.0000 | + | 34.6410i | 0.691714 | + | 1.19808i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −14.0000 | + | 24.2487i | −0.483334 | + | 0.837158i | −0.999817 | − | 0.0191389i | \(-0.993908\pi\) |
0.516483 | + | 0.856297i | \(0.327241\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.00000 | + | 3.46410i | 0.0689655 | + | 0.119452i | ||||
\(842\) | −30.0000 | −1.03387 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.00000 | 0.0688428 | ||||||||
\(845\) | −6.50000 | + | 11.2583i | −0.223607 | + | 0.387298i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 28.0000 | + | 24.2487i | 0.962091 | + | 0.833196i | ||||
\(848\) | −4.50000 | + | 7.79423i | −0.154531 | + | 0.267655i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −8.00000 | + | 13.8564i | −0.274398 | + | 0.475271i | ||||
\(851\) | 8.00000 | − | 13.8564i | 0.274236 | − | 0.474991i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.00000 | + | 12.1244i | −0.239675 | + | 0.415130i | −0.960621 | − | 0.277862i | \(-0.910374\pi\) |
0.720946 | + | 0.692992i | \(0.243708\pi\) | |||||||
\(854\) | −15.0000 | + | 5.19615i | −0.513289 | + | 0.177809i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.50000 | + | 2.59808i | −0.0512689 | + | 0.0888004i | ||||
\(857\) | 18.0000 | 0.614868 | 0.307434 | − | 0.951569i | \(-0.400530\pi\) | ||||
0.307434 | + | 0.951569i | \(0.400530\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −34.0000 | −1.16007 | −0.580033 | − | 0.814593i | \(-0.696960\pi\) | ||||
−0.580033 | + | 0.814593i | \(0.696960\pi\) | |||||||
\(860\) | 1.00000 | + | 1.73205i | 0.0340997 | + | 0.0590624i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.00000 | + | 10.3923i | −0.204361 | + | 0.353963i | ||||
\(863\) | 5.00000 | − | 8.66025i | 0.170202 | − | 0.294798i | −0.768288 | − | 0.640104i | \(-0.778891\pi\) |
0.938490 | + | 0.345305i | \(0.112225\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.0000 | − | 19.0526i | −0.374011 | − | 0.647806i | ||||
\(866\) | 7.00000 | + | 12.1244i | 0.237870 | + | 0.412002i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.50000 | − | 7.79423i | 0.0509133 | − | 0.264553i | ||||
\(869\) | 7.50000 | + | 12.9904i | 0.254420 | + | 0.440668i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −1.00000 | − | 1.73205i | −0.0338643 | − | 0.0586546i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −32.0000 | −1.08242 | ||||||||
\(875\) | 18.0000 | + | 15.5885i | 0.608511 | + | 0.526986i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −32.0000 | −1.08056 | −0.540282 | − | 0.841484i | \(-0.681682\pi\) | ||||
−0.540282 | + | 0.841484i | \(0.681682\pi\) | |||||||
\(878\) | 7.50000 | − | 12.9904i | 0.253113 | − | 0.438404i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.50000 | − | 4.33013i | −0.0842750 | − | 0.145969i | ||||
\(881\) | 42.0000 | 1.41502 | 0.707508 | − | 0.706705i | \(-0.249819\pi\) | ||||
0.707508 | + | 0.706705i | \(0.249819\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −40.0000 | −1.34611 | −0.673054 | − | 0.739594i | \(-0.735018\pi\) | ||||
−0.673054 | + | 0.739594i | \(0.735018\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.50000 | + | 14.7224i | −0.285563 | + | 0.494610i | ||||
\(887\) | −36.0000 | −1.20876 | −0.604381 | − | 0.796696i | \(-0.706579\pi\) | ||||
−0.604381 | + | 0.796696i | \(0.706579\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.0000 | + | 15.5885i | 0.603701 | + | 0.522820i | ||||
\(890\) | 6.00000 | 0.201120 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.50000 | + | 6.06218i | 0.117189 | + | 0.202977i | ||||
\(893\) | 48.0000 | 1.60626 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.00000 | − | 10.3923i | −0.200558 | − | 0.347376i | ||||
\(896\) | −0.500000 | + | 2.59808i | −0.0167038 | + | 0.0867956i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.00000 | − | 13.8564i | −0.266963 | − | 0.462394i | ||||
\(899\) | −7.50000 | − | 12.9904i | −0.250139 | − | 0.433253i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −18.0000 | + | 31.1769i | −0.599667 | + | 1.03865i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.00000 | − | 13.8564i | −0.266076 | − | 0.460857i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.0000 | 0.398453 | 0.199227 | − | 0.979953i | \(-0.436157\pi\) | ||||
0.199227 | + | 0.979953i | \(0.436157\pi\) | |||||||
\(908\) | 1.50000 | − | 2.59808i | 0.0497792 | − | 0.0862202i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.0000 | − | 25.9808i | 0.496972 | − | 0.860781i | −0.503022 | − | 0.864274i | \(-0.667778\pi\) |
0.999994 | + | 0.00349271i | \(0.00111177\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.5000 | − | 30.3109i | 0.579165 | − | 1.00314i | ||||
\(914\) | 15.5000 | − | 26.8468i | 0.512694 | − | 0.888013i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.0000 | − | 17.3205i | 0.330409 | − | 0.572286i | ||||
\(917\) | −2.00000 | − | 1.73205i | −0.0660458 | − | 0.0571974i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.0000 | − | 27.7128i | 0.527791 | − | 0.914161i | −0.471684 | − | 0.881768i | \(-0.656354\pi\) |
0.999475 | − | 0.0323936i | \(-0.0103130\pi\) | |||||||
\(920\) | 4.00000 | 0.131876 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −14.0000 | −0.461065 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.00000 | + | 13.8564i | −0.263038 | + | 0.455596i | ||||
\(926\) | 8.00000 | − | 13.8564i | 0.262896 | − | 0.455350i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.50000 | + | 4.33013i | 0.0820665 | + | 0.142143i | ||||
\(929\) | −3.00000 | − | 5.19615i | −0.0984268 | − | 0.170480i | 0.812607 | − | 0.582812i | \(-0.198048\pi\) |
−0.911034 | + | 0.412332i | \(0.864714\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −52.0000 | − | 20.7846i | −1.70423 | − | 0.681188i | ||||
\(932\) | −2.00000 | − | 3.46410i | −0.0655122 | − | 0.113470i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −20.0000 | −0.654420 | ||||||||
\(935\) | −10.0000 | − | 17.3205i | −0.327035 | − | 0.566441i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.0000 | 1.14340 | 0.571700 | − | 0.820463i | \(-0.306284\pi\) | ||||
0.571700 | + | 0.820463i | \(0.306284\pi\) | |||||||
\(938\) | 4.00000 | + | 3.46410i | 0.130605 | + | 0.113107i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.00000 | −0.195698 | ||||||||
\(941\) | −5.50000 | + | 9.52628i | −0.179295 | + | 0.310548i | −0.941639 | − | 0.336624i | \(-0.890715\pi\) |
0.762344 | + | 0.647172i | \(0.224048\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 11.0000 | 0.358020 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.0000 | 0.325128 | ||||||||
\(947\) | −16.0000 | − | 27.7128i | −0.519930 | − | 0.900545i | −0.999732 | − | 0.0231683i | \(-0.992625\pi\) |
0.479801 | − | 0.877377i | \(-0.340709\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 32.0000 | 1.03822 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.00000 | + | 10.3923i | −0.0648204 | + | 0.336817i | ||||
\(953\) | −2.00000 | −0.0647864 | −0.0323932 | − | 0.999475i | \(-0.510313\pi\) | ||||
−0.0323932 | + | 0.999475i | \(0.510313\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.0000 | − | 20.7846i | −0.388311 | − | 0.672574i | ||||
\(956\) | 12.0000 | 0.388108 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −19.0000 | − | 32.9090i | −0.613862 | − | 1.06324i | ||||
\(959\) | 4.00000 | + | 3.46410i | 0.129167 | + | 0.111862i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 11.0000 | + | 19.0526i | 0.354839 | + | 0.614599i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.5000 | − | 21.6506i | 0.402598 | − | 0.697320i | ||||
\(965\) | 2.50000 | − | 4.33013i | 0.0804778 | − | 0.139392i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 30.5000 | + | 52.8275i | 0.980814 | + | 1.69882i | 0.659236 | + | 0.751936i | \(0.270880\pi\) |
0.321578 | + | 0.946883i | \(0.395787\pi\) | |||||||
\(968\) | −14.0000 | −0.449977 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.00000 | 0.224756 | ||||||||
\(971\) | 7.50000 | − | 12.9904i | 0.240686 | − | 0.416881i | −0.720224 | − | 0.693742i | \(-0.755961\pi\) |
0.960910 | + | 0.276861i | \(0.0892941\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.00000 | + | 36.3731i | −0.224410 | + | 1.16607i | ||||
\(974\) | 2.50000 | − | 4.33013i | 0.0801052 | − | 0.138746i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.00000 | − | 5.19615i | 0.0960277 | − | 0.166325i | ||||
\(977\) | −15.0000 | + | 25.9808i | −0.479893 | + | 0.831198i | −0.999734 | − | 0.0230645i | \(-0.992658\pi\) |
0.519841 | + | 0.854263i | \(0.325991\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.0000 | − | 25.9808i | 0.479402 | − | 0.830349i | ||||
\(980\) | 6.50000 | + | 2.59808i | 0.207635 | + | 0.0829925i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.50000 | + | 7.79423i | −0.143601 | + | 0.248724i | ||||
\(983\) | 60.0000 | 1.91370 | 0.956851 | − | 0.290578i | \(-0.0938475\pi\) | ||||
0.956851 | + | 0.290578i | \(0.0938475\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.00000 | 0.0637253 | ||||||||
\(986\) | 10.0000 | + | 17.3205i | 0.318465 | + | 0.551597i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.00000 | + | 6.92820i | −0.127193 | + | 0.220304i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.5000 | − | 40.7032i | −0.746502 | − | 1.29298i | −0.949490 | − | 0.313798i | \(-0.898398\pi\) |
0.202988 | − | 0.979181i | \(-0.434935\pi\) | |||||||
\(992\) | 1.50000 | + | 2.59808i | 0.0476250 | + | 0.0824890i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.00000 | − | 5.19615i | 0.0317181 | − | 0.164812i | ||||
\(995\) | −2.00000 | − | 3.46410i | −0.0634043 | − | 0.109819i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.0000 | 1.20347 | 0.601736 | − | 0.798695i | \(-0.294476\pi\) | ||||
0.601736 | + | 0.798695i | \(0.294476\pi\) | |||||||
\(998\) | 5.00000 | + | 8.66025i | 0.158272 | + | 0.274136i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))