Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(109,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bf (of order \(6\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 35) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.2 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 315.289 |
Dual form | 315.2.bf.a.109.2 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | 0.773893 | − | 0.633316i | \(-0.218307\pi\) |
−0.161521 | + | 0.986869i | \(0.551640\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.23205 | − | 1.86603i | −0.550990 | − | 0.834512i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.59808 | − | 0.500000i | −0.981981 | − | 0.188982i | ||||
\(8\) | − | 3.00000i | − | 1.06066i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.133975 | − | 2.23205i | −0.0423665 | − | 0.705836i | ||||
\(11\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 2.00000i | − | 0.554700i | −0.960769 | − | 0.277350i | \(-0.910544\pi\) | ||
0.960769 | − | 0.277350i | \(-0.0894562\pi\) | |||||||
\(14\) | −2.00000 | − | 1.73205i | −0.534522 | − | 0.462910i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.73205 | + | 1.00000i | −0.420084 | + | 0.242536i | −0.695113 | − | 0.718900i | \(-0.744646\pi\) |
0.275029 | + | 0.961436i | \(0.411312\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.00000 | − | 5.19615i | 0.688247 | − | 1.19208i | −0.284157 | − | 0.958778i | \(-0.591714\pi\) |
0.972404 | − | 0.233301i | \(-0.0749529\pi\) | |||||||
\(20\) | −1.00000 | + | 2.00000i | −0.223607 | + | 0.447214i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.59808 | + | 1.50000i | 0.541736 | + | 0.312772i | 0.745782 | − | 0.666190i | \(-0.232076\pi\) |
−0.204046 | + | 0.978961i | \(0.565409\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.96410 | + | 4.59808i | −0.392820 | + | 0.919615i | ||||
\(26\) | 1.00000 | − | 1.73205i | 0.196116 | − | 0.339683i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.866025 | + | 2.50000i | 0.163663 | + | 0.472456i | ||||
\(29\) | 7.00000 | 1.29987 | 0.649934 | − | 0.759991i | \(-0.274797\pi\) | ||||
0.649934 | + | 0.759991i | \(0.274797\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.00000 | − | 1.73205i | −0.179605 | − | 0.311086i | 0.762140 | − | 0.647412i | \(-0.224149\pi\) |
−0.941745 | + | 0.336327i | \(0.890815\pi\) | |||||||
\(32\) | −4.33013 | + | 2.50000i | −0.765466 | + | 0.441942i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 2.26795 | + | 5.46410i | 0.383353 | + | 0.923602i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.92820 | + | 4.00000i | 1.13899 | + | 0.657596i | 0.946180 | − | 0.323640i | \(-0.104907\pi\) |
0.192809 | + | 0.981236i | \(0.438240\pi\) | |||||||
\(38\) | 5.19615 | − | 3.00000i | 0.842927 | − | 0.486664i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.59808 | + | 3.69615i | −0.885134 | + | 0.584413i | ||||
\(41\) | −5.00000 | −0.780869 | −0.390434 | − | 0.920631i | \(-0.627675\pi\) | ||||
−0.390434 | + | 0.920631i | \(0.627675\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 7.00000i | − | 1.06749i | −0.845645 | − | 0.533745i | \(-0.820784\pi\) | ||
0.845645 | − | 0.533745i | \(-0.179216\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.50000 | + | 2.59808i | 0.221163 | + | 0.383065i | ||||
\(47\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.50000 | + | 2.59808i | 0.928571 | + | 0.371154i | ||||
\(50\) | −4.00000 | + | 3.00000i | −0.565685 | + | 0.424264i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.73205 | + | 1.00000i | −0.240192 | + | 0.138675i | ||||
\(53\) | 5.19615 | − | 3.00000i | 0.713746 | − | 0.412082i | −0.0987002 | − | 0.995117i | \(-0.531468\pi\) |
0.812447 | + | 0.583036i | \(0.198135\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.50000 | + | 7.79423i | −0.200446 | + | 1.04155i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.06218 | + | 3.50000i | 0.796003 | + | 0.459573i | ||||
\(59\) | −5.00000 | − | 8.66025i | −0.650945 | − | 1.12747i | −0.982894 | − | 0.184172i | \(-0.941040\pi\) |
0.331949 | − | 0.943297i | \(-0.392294\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.50000 | + | 6.06218i | −0.448129 | + | 0.776182i | −0.998264 | − | 0.0588933i | \(-0.981243\pi\) |
0.550135 | + | 0.835076i | \(0.314576\pi\) | |||||||
\(62\) | − | 2.00000i | − | 0.254000i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.00000 | −0.875000 | ||||||||
\(65\) | −3.73205 | + | 2.46410i | −0.462904 | + | 0.305634i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.33013 | + | 2.50000i | −0.529009 | + | 0.305424i | −0.740613 | − | 0.671932i | \(-0.765465\pi\) |
0.211604 | + | 0.977356i | \(0.432131\pi\) | |||||||
\(68\) | 1.73205 | + | 1.00000i | 0.210042 | + | 0.121268i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.767949 | + | 5.86603i | −0.0917875 | + | 0.701124i | ||||
\(71\) | 2.00000 | 0.237356 | 0.118678 | − | 0.992933i | \(-0.462134\pi\) | ||||
0.118678 | + | 0.992933i | \(0.462134\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.19615 | − | 3.00000i | 0.608164 | − | 0.351123i | −0.164083 | − | 0.986447i | \(-0.552466\pi\) |
0.772246 | + | 0.635323i | \(0.219133\pi\) | |||||||
\(74\) | 4.00000 | + | 6.92820i | 0.464991 | + | 0.805387i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.00000 | −0.688247 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.00000 | + | 1.73205i | −0.112509 | + | 0.194871i | −0.916781 | − | 0.399390i | \(-0.869222\pi\) |
0.804272 | + | 0.594261i | \(0.202555\pi\) | |||||||
\(80\) | −2.23205 | + | 0.133975i | −0.249551 | + | 0.0149788i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.33013 | − | 2.50000i | −0.478183 | − | 0.276079i | ||||
\(83\) | − | 11.0000i | − | 1.20741i | −0.797209 | − | 0.603703i | \(-0.793691\pi\) | ||
0.797209 | − | 0.603703i | \(-0.206309\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.00000 | + | 2.00000i | 0.433861 | + | 0.216930i | ||||
\(86\) | 3.50000 | − | 6.06218i | 0.377415 | − | 0.653701i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.50000 | + | 7.79423i | −0.476999 | + | 0.826187i | −0.999653 | − | 0.0263586i | \(-0.991609\pi\) |
0.522654 | + | 0.852545i | \(0.324942\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.00000 | + | 5.19615i | −0.104828 | + | 0.544705i | ||||
\(92\) | − | 3.00000i | − | 0.312772i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −13.3923 | + | 0.803848i | −1.37402 | + | 0.0824730i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 16.0000i | − | 1.62455i | −0.583272 | − | 0.812277i | \(-0.698228\pi\) | ||
0.583272 | − | 0.812277i | \(-0.301772\pi\) | |||||||
\(98\) | 4.33013 | + | 5.50000i | 0.437409 | + | 0.555584i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.96410 | − | 0.598076i | 0.496410 | − | 0.0598076i | ||||
\(101\) | 4.50000 | + | 7.79423i | 0.447767 | + | 0.775555i | 0.998240 | − | 0.0592978i | \(-0.0188862\pi\) |
−0.550474 | + | 0.834853i | \(0.685553\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.06218 | + | 3.50000i | 0.597324 | + | 0.344865i | 0.767988 | − | 0.640464i | \(-0.221258\pi\) |
−0.170664 | + | 0.985329i | \(0.554591\pi\) | |||||||
\(104\) | −6.00000 | −0.588348 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.00000 | 0.582772 | ||||||||
\(107\) | 9.52628 | + | 5.50000i | 0.920940 | + | 0.531705i | 0.883935 | − | 0.467610i | \(-0.154885\pi\) |
0.0370053 | + | 0.999315i | \(0.488218\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.50000 | + | 4.33013i | 0.239457 | + | 0.414751i | 0.960558 | − | 0.278078i | \(-0.0896974\pi\) |
−0.721102 | + | 0.692829i | \(0.756364\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.73205 | + | 2.00000i | −0.163663 | + | 0.188982i | ||||
\(113\) | − | 6.00000i | − | 0.564433i | −0.959351 | − | 0.282216i | \(-0.908930\pi\) | ||
0.959351 | − | 0.282216i | \(-0.0910696\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.401924 | − | 6.69615i | −0.0374796 | − | 0.624419i | ||||
\(116\) | −3.50000 | − | 6.06218i | −0.324967 | − | 0.562859i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 10.0000i | − | 0.920575i | ||||||
\(119\) | 5.00000 | − | 1.73205i | 0.458349 | − | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.50000 | − | 9.52628i | 0.500000 | − | 0.866025i | ||||
\(122\) | −6.06218 | + | 3.50000i | −0.548844 | + | 0.316875i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.00000 | + | 1.73205i | −0.0898027 | + | 0.155543i | ||||
\(125\) | 11.0000 | − | 2.00000i | 0.983870 | − | 0.178885i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.0000i | 1.41977i | 0.704317 | + | 0.709885i | \(0.251253\pi\) | ||||
−0.704317 | + | 0.709885i | \(0.748747\pi\) | |||||||
\(128\) | 2.59808 | + | 1.50000i | 0.229640 | + | 0.132583i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.46410 | + | 0.267949i | −0.391528 | + | 0.0235007i | ||||
\(131\) | 2.00000 | − | 3.46410i | 0.174741 | − | 0.302660i | −0.765331 | − | 0.643637i | \(-0.777425\pi\) |
0.940072 | + | 0.340977i | \(0.110758\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.3923 | + | 12.0000i | −0.901127 | + | 1.04053i | ||||
\(134\) | −5.00000 | −0.431934 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.00000 | + | 5.19615i | 0.257248 | + | 0.445566i | ||||
\(137\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.00000 | −0.678551 | −0.339276 | − | 0.940687i | \(-0.610182\pi\) | ||||
−0.339276 | + | 0.940687i | \(0.610182\pi\) | |||||||
\(140\) | 3.59808 | − | 4.69615i | 0.304093 | − | 0.396897i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.73205 | + | 1.00000i | 0.145350 | + | 0.0839181i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −8.62436 | − | 13.0622i | −0.716214 | − | 1.08475i | ||||
\(146\) | 6.00000 | 0.496564 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 8.00000i | − | 0.657596i | ||||||
\(149\) | −0.500000 | + | 0.866025i | −0.0409616 | + | 0.0709476i | −0.885779 | − | 0.464107i | \(-0.846375\pi\) |
0.844818 | + | 0.535054i | \(0.179709\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.00000 | − | 12.1244i | −0.569652 | − | 0.986666i | −0.996600 | − | 0.0823900i | \(-0.973745\pi\) |
0.426948 | − | 0.904276i | \(-0.359589\pi\) | |||||||
\(152\) | −15.5885 | − | 9.00000i | −1.26439 | − | 0.729996i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.00000 | + | 4.00000i | −0.160644 | + | 0.321288i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.3923 | − | 6.00000i | 0.829396 | − | 0.478852i | −0.0242497 | − | 0.999706i | \(-0.507720\pi\) |
0.853646 | + | 0.520854i | \(0.174386\pi\) | |||||||
\(158\) | −1.73205 | + | 1.00000i | −0.137795 | + | 0.0795557i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.0000 | + | 5.00000i | 0.790569 | + | 0.395285i | ||||
\(161\) | −6.00000 | − | 5.19615i | −0.472866 | − | 0.409514i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.46410 | − | 2.00000i | −0.271329 | − | 0.156652i | 0.358162 | − | 0.933659i | \(-0.383403\pi\) |
−0.629492 | + | 0.777007i | \(0.716737\pi\) | |||||||
\(164\) | 2.50000 | + | 4.33013i | 0.195217 | + | 0.338126i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.50000 | − | 9.52628i | 0.426883 | − | 0.739383i | ||||
\(167\) | 3.00000i | 0.232147i | 0.993241 | + | 0.116073i | \(0.0370308\pi\) | ||||
−0.993241 | + | 0.116073i | \(0.962969\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.00000 | 0.692308 | ||||||||
\(170\) | 2.46410 | + | 3.73205i | 0.188988 | + | 0.286235i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.06218 | + | 3.50000i | −0.462237 | + | 0.266872i | ||||
\(173\) | 10.3923 | + | 6.00000i | 0.790112 | + | 0.456172i | 0.840002 | − | 0.542583i | \(-0.182554\pi\) |
−0.0498898 | + | 0.998755i | \(0.515887\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.40192 | − | 10.9641i | 0.559533 | − | 0.828808i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −7.79423 | + | 4.50000i | −0.584202 | + | 0.337289i | ||||
\(179\) | 1.00000 | + | 1.73205i | 0.0747435 | + | 0.129460i | 0.900975 | − | 0.433872i | \(-0.142853\pi\) |
−0.826231 | + | 0.563331i | \(0.809520\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.00000 | −0.222988 | −0.111494 | − | 0.993765i | \(-0.535564\pi\) | ||||
−0.111494 | + | 0.993765i | \(0.535564\pi\) | |||||||
\(182\) | −3.46410 | + | 4.00000i | −0.256776 | + | 0.296500i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.50000 | − | 7.79423i | 0.331744 | − | 0.574598i | ||||
\(185\) | −1.07180 | − | 17.8564i | −0.0788001 | − | 1.31283i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.0000 | − | 6.00000i | −0.870572 | − | 0.435286i | ||||
\(191\) | 6.00000 | − | 10.3923i | 0.434145 | − | 0.751961i | −0.563081 | − | 0.826402i | \(-0.690384\pi\) |
0.997225 | + | 0.0744412i | \(0.0237173\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.46410 | − | 2.00000i | 0.249351 | − | 0.143963i | −0.370116 | − | 0.928986i | \(-0.620682\pi\) |
0.619467 | + | 0.785022i | \(0.287349\pi\) | |||||||
\(194\) | 8.00000 | − | 13.8564i | 0.574367 | − | 0.994832i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.00000 | − | 6.92820i | −0.0714286 | − | 0.494872i | ||||
\(197\) | 8.00000i | 0.569976i | 0.958531 | + | 0.284988i | \(0.0919897\pi\) | ||||
−0.958531 | + | 0.284988i | \(0.908010\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.00000 | − | 3.46410i | −0.141776 | − | 0.245564i | 0.786389 | − | 0.617731i | \(-0.211948\pi\) |
−0.928166 | + | 0.372168i | \(0.878615\pi\) | |||||||
\(200\) | 13.7942 | + | 5.89230i | 0.975399 | + | 0.416649i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.00000i | 0.633238i | ||||||||
\(203\) | −18.1865 | − | 3.50000i | −1.27644 | − | 0.245652i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.16025 | + | 9.33013i | 0.430251 | + | 0.651644i | ||||
\(206\) | 3.50000 | + | 6.06218i | 0.243857 | + | 0.422372i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.73205 | − | 1.00000i | −0.120096 | − | 0.0693375i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.0000 | −0.688428 | −0.344214 | − | 0.938891i | \(-0.611855\pi\) | ||||
−0.344214 | + | 0.938891i | \(0.611855\pi\) | |||||||
\(212\) | −5.19615 | − | 3.00000i | −0.356873 | − | 0.206041i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.50000 | + | 9.52628i | 0.375972 | + | 0.651203i | ||||
\(215\) | −13.0622 | + | 8.62436i | −0.890833 | + | 0.588176i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.73205 | + | 5.00000i | 0.117579 | + | 0.339422i | ||||
\(218\) | 5.00000i | 0.338643i | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.00000 | + | 3.46410i | 0.134535 | + | 0.233021i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(224\) | 12.5000 | − | 4.33013i | 0.835191 | − | 0.289319i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.00000 | − | 5.19615i | 0.199557 | − | 0.345643i | ||||
\(227\) | 17.3205 | − | 10.0000i | 1.14960 | − | 0.663723i | 0.200812 | − | 0.979630i | \(-0.435642\pi\) |
0.948790 | + | 0.315906i | \(0.102309\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.0000 | + | 19.0526i | −0.726900 | + | 1.25903i | 0.231287 | + | 0.972886i | \(0.425707\pi\) |
−0.958187 | + | 0.286143i | \(0.907627\pi\) | |||||||
\(230\) | 3.00000 | − | 6.00000i | 0.197814 | − | 0.395628i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 21.0000i | − | 1.37872i | ||||||
\(233\) | −12.1244 | − | 7.00000i | −0.794293 | − | 0.458585i | 0.0471787 | − | 0.998886i | \(-0.484977\pi\) |
−0.841472 | + | 0.540301i | \(0.818310\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −5.00000 | + | 8.66025i | −0.325472 | + | 0.563735i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 5.19615 | + | 1.00000i | 0.336817 | + | 0.0648204i | ||||
\(239\) | −18.0000 | −1.16432 | −0.582162 | − | 0.813073i | \(-0.697793\pi\) | ||||
−0.582162 | + | 0.813073i | \(0.697793\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.00000 | + | 12.1244i | 0.450910 | + | 0.780998i | 0.998443 | − | 0.0557856i | \(-0.0177663\pi\) |
−0.547533 | + | 0.836784i | \(0.684433\pi\) | |||||||
\(242\) | 9.52628 | − | 5.50000i | 0.612372 | − | 0.353553i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.00000 | 0.448129 | ||||||||
\(245\) | −3.16025 | − | 15.3301i | −0.201901 | − | 0.979406i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.3923 | − | 6.00000i | −0.661247 | − | 0.381771i | ||||
\(248\) | −5.19615 | + | 3.00000i | −0.329956 | + | 0.190500i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 10.5263 | + | 3.76795i | 0.665740 | + | 0.238306i | ||||
\(251\) | −30.0000 | −1.89358 | −0.946792 | − | 0.321847i | \(-0.895696\pi\) | ||||
−0.946792 | + | 0.321847i | \(0.895696\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −8.00000 | + | 13.8564i | −0.501965 | + | 0.869428i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | 17.3205 | + | 10.0000i | 1.08042 | + | 0.623783i | 0.931011 | − | 0.364992i | \(-0.118928\pi\) |
0.149413 | + | 0.988775i | \(0.452262\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.0000 | − | 13.8564i | −0.994192 | − | 0.860995i | ||||
\(260\) | 4.00000 | + | 2.00000i | 0.248069 | + | 0.124035i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.46410 | − | 2.00000i | 0.214013 | − | 0.123560i | ||||
\(263\) | −7.79423 | + | 4.50000i | −0.480613 | + | 0.277482i | −0.720672 | − | 0.693276i | \(-0.756167\pi\) |
0.240059 | + | 0.970758i | \(0.422833\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0000 | − | 6.00000i | −0.737154 | − | 0.368577i | ||||
\(266\) | −15.0000 | + | 5.19615i | −0.919709 | + | 0.318597i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 4.33013 | + | 2.50000i | 0.264505 | + | 0.152712i | ||||
\(269\) | 5.50000 | + | 9.52628i | 0.335341 | + | 0.580828i | 0.983550 | − | 0.180635i | \(-0.0578152\pi\) |
−0.648209 | + | 0.761462i | \(0.724482\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.00000 | − | 1.73205i | 0.0607457 | − | 0.105215i | −0.834053 | − | 0.551684i | \(-0.813985\pi\) |
0.894799 | + | 0.446469i | \(0.147319\pi\) | |||||||
\(272\) | 2.00000i | 0.121268i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.66025 | − | 5.00000i | 0.520344 | − | 0.300421i | −0.216731 | − | 0.976231i | \(-0.569540\pi\) |
0.737075 | + | 0.675810i | \(0.236206\pi\) | |||||||
\(278\) | −6.92820 | − | 4.00000i | −0.415526 | − | 0.239904i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 16.3923 | − | 6.80385i | 0.979628 | − | 0.406608i | ||||
\(281\) | 14.0000 | 0.835170 | 0.417585 | − | 0.908638i | \(-0.362877\pi\) | ||||
0.417585 | + | 0.908638i | \(0.362877\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.8564 | + | 8.00000i | −0.823678 | + | 0.475551i | −0.851683 | − | 0.524057i | \(-0.824418\pi\) |
0.0280052 | + | 0.999608i | \(0.491084\pi\) | |||||||
\(284\) | −1.00000 | − | 1.73205i | −0.0593391 | − | 0.102778i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.9904 | + | 2.50000i | 0.766798 | + | 0.147570i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.50000 | + | 11.2583i | −0.382353 | + | 0.662255i | ||||
\(290\) | −0.937822 | − | 15.6244i | −0.0550708 | − | 0.917494i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.19615 | − | 3.00000i | −0.304082 | − | 0.175562i | ||||
\(293\) | 24.0000i | 1.40209i | 0.713115 | + | 0.701047i | \(0.247284\pi\) | ||||
−0.713115 | + | 0.701047i | \(0.752716\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.0000 | + | 20.0000i | −0.582223 | + | 1.16445i | ||||
\(296\) | 12.0000 | − | 20.7846i | 0.697486 | − | 1.20808i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.866025 | + | 0.500000i | −0.0501675 | + | 0.0289642i | ||||
\(299\) | 3.00000 | − | 5.19615i | 0.173494 | − | 0.300501i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.50000 | + | 18.1865i | −0.201737 | + | 1.04825i | ||||
\(302\) | − | 14.0000i | − | 0.805609i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.00000 | − | 5.19615i | −0.172062 | − | 0.298020i | ||||
\(305\) | 15.6244 | − | 0.937822i | 0.894648 | − | 0.0536995i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.0000i | 1.31268i | 0.754466 | + | 0.656340i | \(0.227896\pi\) | ||||
−0.754466 | + | 0.656340i | \(0.772104\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.73205 | + | 2.46410i | −0.211966 | + | 0.139952i | ||||
\(311\) | 15.0000 | + | 25.9808i | 0.850572 | + | 1.47323i | 0.880693 | + | 0.473688i | \(0.157077\pi\) |
−0.0301210 | + | 0.999546i | \(0.509589\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.7846 | + | 12.0000i | 1.17482 | + | 0.678280i | 0.954810 | − | 0.297218i | \(-0.0960589\pi\) |
0.220006 | + | 0.975499i | \(0.429392\pi\) | |||||||
\(314\) | 12.0000 | 0.677199 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.00000 | 0.112509 | ||||||||
\(317\) | −5.19615 | − | 3.00000i | −0.291845 | − | 0.168497i | 0.346929 | − | 0.937892i | \(-0.387225\pi\) |
−0.638774 | + | 0.769395i | \(0.720558\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 8.62436 | + | 13.0622i | 0.482116 | + | 0.730198i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.59808 | − | 7.50000i | −0.144785 | − | 0.417959i | ||||
\(323\) | 12.0000i | 0.667698i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.19615 | + | 3.92820i | 0.510111 | + | 0.217898i | ||||
\(326\) | −2.00000 | − | 3.46410i | −0.110770 | − | 0.191859i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 15.0000i | 0.828236i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.00000 | + | 5.19615i | −0.164895 | + | 0.285606i | −0.936618 | − | 0.350352i | \(-0.886062\pi\) |
0.771723 | + | 0.635959i | \(0.219395\pi\) | |||||||
\(332\) | −9.52628 | + | 5.50000i | −0.522823 | + | 0.301852i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.50000 | + | 2.59808i | −0.0820763 | + | 0.142160i | ||||
\(335\) | 10.0000 | + | 5.00000i | 0.546358 | + | 0.273179i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.0000i | 0.980522i | 0.871576 | + | 0.490261i | \(0.163099\pi\) | ||||
−0.871576 | + | 0.490261i | \(0.836901\pi\) | |||||||
\(338\) | 7.79423 | + | 4.50000i | 0.423950 | + | 0.244768i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.267949 | − | 4.46410i | −0.0145316 | − | 0.242100i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.5885 | − | 10.0000i | −0.841698 | − | 0.539949i | ||||
\(344\) | −21.0000 | −1.13224 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.00000 | + | 10.3923i | 0.322562 | + | 0.558694i | ||||
\(347\) | −12.9904 | + | 7.50000i | −0.697360 | + | 0.402621i | −0.806363 | − | 0.591420i | \(-0.798567\pi\) |
0.109003 | + | 0.994041i | \(0.465234\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.0000 | 0.909989 | 0.454995 | − | 0.890494i | \(-0.349641\pi\) | ||||
0.454995 | + | 0.890494i | \(0.349641\pi\) | |||||||
\(350\) | 11.8923 | − | 5.79423i | 0.635670 | − | 0.309715i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −22.5167 | + | 13.0000i | −1.19844 | + | 0.691920i | −0.960207 | − | 0.279288i | \(-0.909902\pi\) |
−0.238233 | + | 0.971208i | \(0.576568\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.46410 | − | 3.73205i | −0.130781 | − | 0.198077i | ||||
\(356\) | 9.00000 | 0.476999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.00000i | 0.105703i | ||||||||
\(359\) | −5.00000 | + | 8.66025i | −0.263890 | + | 0.457071i | −0.967272 | − | 0.253741i | \(-0.918339\pi\) |
0.703382 | + | 0.710812i | \(0.251672\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.50000 | − | 14.7224i | −0.447368 | − | 0.774865i | ||||
\(362\) | −2.59808 | − | 1.50000i | −0.136552 | − | 0.0788382i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.00000 | − | 1.73205i | 0.262071 | − | 0.0907841i | ||||
\(365\) | −12.0000 | − | 6.00000i | −0.628109 | − | 0.314054i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.3827 | − | 13.5000i | 1.22057 | − | 0.704694i | 0.255528 | − | 0.966802i | \(-0.417751\pi\) |
0.965039 | + | 0.262108i | \(0.0844175\pi\) | |||||||
\(368\) | 2.59808 | − | 1.50000i | 0.135434 | − | 0.0781929i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.00000 | − | 16.0000i | 0.415900 | − | 0.831800i | ||||
\(371\) | −15.0000 | + | 5.19615i | −0.778761 | + | 0.269771i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −20.7846 | − | 12.0000i | −1.07619 | − | 0.621336i | −0.146321 | − | 0.989237i | \(-0.546743\pi\) |
−0.929865 | + | 0.367901i | \(0.880077\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 14.0000i | − | 0.721037i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.0000 | 0.513665 | 0.256833 | − | 0.966456i | \(-0.417321\pi\) | ||||
0.256833 | + | 0.966456i | \(0.417321\pi\) | |||||||
\(380\) | 7.39230 | + | 11.1962i | 0.379217 | + | 0.574351i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 10.3923 | − | 6.00000i | 0.531717 | − | 0.306987i | ||||
\(383\) | −4.33013 | − | 2.50000i | −0.221259 | − | 0.127744i | 0.385274 | − | 0.922802i | \(-0.374107\pi\) |
−0.606533 | + | 0.795058i | \(0.707440\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.00000 | 0.203595 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.8564 | + | 8.00000i | −0.703452 | + | 0.406138i | ||||
\(389\) | −7.00000 | − | 12.1244i | −0.354914 | − | 0.614729i | 0.632189 | − | 0.774814i | \(-0.282157\pi\) |
−0.987103 | + | 0.160085i | \(0.948823\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.00000 | −0.303433 | ||||||||
\(392\) | 7.79423 | − | 19.5000i | 0.393668 | − | 0.984899i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.00000 | + | 6.92820i | −0.201517 | + | 0.349038i | ||||
\(395\) | 4.46410 | − | 0.267949i | 0.224613 | − | 0.0134820i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.8564 | + | 8.00000i | 0.695433 | + | 0.401508i | 0.805644 | − | 0.592400i | \(-0.201819\pi\) |
−0.110211 | + | 0.993908i | \(0.535153\pi\) | |||||||
\(398\) | − | 4.00000i | − | 0.200502i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | ||||
\(401\) | 1.50000 | − | 2.59808i | 0.0749064 | − | 0.129742i | −0.826139 | − | 0.563466i | \(-0.809468\pi\) |
0.901046 | + | 0.433724i | \(0.142801\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.46410 | + | 2.00000i | −0.172559 | + | 0.0996271i | ||||
\(404\) | 4.50000 | − | 7.79423i | 0.223883 | − | 0.387777i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.0000 | − | 12.1244i | −0.694808 | − | 0.601722i | ||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.5000 | − | 21.6506i | −0.618085 | − | 1.07056i | −0.989835 | − | 0.142222i | \(-0.954575\pi\) |
0.371750 | − | 0.928333i | \(-0.378758\pi\) | |||||||
\(410\) | 0.669873 | + | 11.1603i | 0.0330827 | + | 0.551166i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 7.00000i | − | 0.344865i | ||||||
\(413\) | 8.66025 | + | 25.0000i | 0.426143 | + | 1.23017i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.5263 | + | 13.5526i | −1.00760 | + | 0.665269i | ||||
\(416\) | 5.00000 | + | 8.66025i | 0.245145 | + | 0.424604i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.0000 | 1.17248 | 0.586238 | − | 0.810139i | \(-0.300608\pi\) | ||||
0.586238 | + | 0.810139i | \(0.300608\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.0000 | 0.731055 | 0.365528 | − | 0.930800i | \(-0.380889\pi\) | ||||
0.365528 | + | 0.930800i | \(0.380889\pi\) | |||||||
\(422\) | −8.66025 | − | 5.00000i | −0.421575 | − | 0.243396i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −9.00000 | − | 15.5885i | −0.437079 | − | 0.757042i | ||||
\(425\) | −1.19615 | − | 9.92820i | −0.0580219 | − | 0.481589i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.1244 | − | 14.0000i | 0.586739 | − | 0.677507i | ||||
\(428\) | − | 11.0000i | − | 0.531705i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −15.6244 | + | 0.937822i | −0.753473 | + | 0.0452258i | ||||
\(431\) | −16.0000 | − | 27.7128i | −0.770693 | − | 1.33488i | −0.937184 | − | 0.348836i | \(-0.886577\pi\) |
0.166491 | − | 0.986043i | \(-0.446756\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.00000i | 0.0961139i | 0.998845 | + | 0.0480569i | \(0.0153029\pi\) | ||||
−0.998845 | + | 0.0480569i | \(0.984697\pi\) | |||||||
\(434\) | −1.00000 | + | 5.19615i | −0.0480015 | + | 0.249423i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.50000 | − | 4.33013i | 0.119728 | − | 0.207375i | ||||
\(437\) | 15.5885 | − | 9.00000i | 0.745697 | − | 0.430528i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.0000 | − | 20.7846i | 0.572729 | − | 0.991995i | −0.423556 | − | 0.905870i | \(-0.639218\pi\) |
0.996284 | − | 0.0861252i | \(-0.0274485\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.00000i | 0.190261i | ||||||||
\(443\) | −26.8468 | − | 15.5000i | −1.27553 | − | 0.736427i | −0.299506 | − | 0.954094i | \(-0.596822\pi\) |
−0.976023 | + | 0.217667i | \(0.930155\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.0885 | − | 1.20577i | 0.952284 | − | 0.0571590i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 18.1865 | + | 3.50000i | 0.859233 | + | 0.165359i | ||||
\(449\) | 31.0000 | 1.46298 | 0.731490 | − | 0.681852i | \(-0.238825\pi\) | ||||
0.731490 | + | 0.681852i | \(0.238825\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −5.19615 | + | 3.00000i | −0.244406 | + | 0.141108i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 20.0000 | 0.938647 | ||||||||
\(455\) | 10.9282 | − | 4.53590i | 0.512322 | − | 0.212646i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.7128 | − | 16.0000i | −1.29635 | − | 0.748448i | −0.316579 | − | 0.948566i | \(-0.602534\pi\) |
−0.979772 | + | 0.200118i | \(0.935868\pi\) | |||||||
\(458\) | −19.0526 | + | 11.0000i | −0.890268 | + | 0.513996i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.59808 | + | 3.69615i | −0.261012 | + | 0.172334i | ||||
\(461\) | −18.0000 | −0.838344 | −0.419172 | − | 0.907907i | \(-0.637680\pi\) | ||||
−0.419172 | + | 0.907907i | \(0.637680\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 3.00000i | − | 0.139422i | −0.997567 | − | 0.0697109i | \(-0.977792\pi\) | ||
0.997567 | − | 0.0697109i | \(-0.0222077\pi\) | |||||||
\(464\) | 3.50000 | − | 6.06218i | 0.162483 | − | 0.281430i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.00000 | − | 12.1244i | −0.324269 | − | 0.561650i | ||||
\(467\) | 2.59808 | + | 1.50000i | 0.120225 | + | 0.0694117i | 0.558906 | − | 0.829231i | \(-0.311221\pi\) |
−0.438682 | + | 0.898642i | \(0.644554\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 12.5000 | − | 4.33013i | 0.577196 | − | 0.199947i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −25.9808 | + | 15.0000i | −1.19586 | + | 0.690431i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 18.0000 | + | 24.0000i | 0.825897 | + | 1.10120i | ||||
\(476\) | −4.00000 | − | 3.46410i | −0.183340 | − | 0.158777i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.5885 | − | 9.00000i | −0.712999 | − | 0.411650i | ||||
\(479\) | −21.0000 | − | 36.3731i | −0.959514 | − | 1.66193i | −0.723681 | − | 0.690134i | \(-0.757551\pi\) |
−0.235833 | − | 0.971794i | \(-0.575782\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.00000 | − | 13.8564i | 0.364769 | − | 0.631798i | ||||
\(482\) | 14.0000i | 0.637683i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.0000 | −0.500000 | ||||||||
\(485\) | −29.8564 | + | 19.7128i | −1.35571 | + | 0.895113i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.3923 | + | 6.00000i | −0.470920 | + | 0.271886i | −0.716625 | − | 0.697459i | \(-0.754314\pi\) |
0.245705 | + | 0.969345i | \(0.420981\pi\) | |||||||
\(488\) | 18.1865 | + | 10.5000i | 0.823266 | + | 0.475313i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.92820 | − | 14.8564i | 0.222634 | − | 0.671144i | ||||
\(491\) | 26.0000 | 1.17336 | 0.586682 | − | 0.809818i | \(-0.300434\pi\) | ||||
0.586682 | + | 0.809818i | \(0.300434\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.1244 | + | 7.00000i | −0.546054 | + | 0.315264i | ||||
\(494\) | −6.00000 | − | 10.3923i | −0.269953 | − | 0.467572i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.00000 | −0.0898027 | ||||||||
\(497\) | −5.19615 | − | 1.00000i | −0.233079 | − | 0.0448561i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.00000 | − | 13.8564i | 0.358129 | − | 0.620298i | −0.629519 | − | 0.776985i | \(-0.716748\pi\) |
0.987648 | + | 0.156687i | \(0.0500814\pi\) | |||||||
\(500\) | −7.23205 | − | 8.52628i | −0.323427 | − | 0.381307i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −25.9808 | − | 15.0000i | −1.15958 | − | 0.669483i | ||||
\(503\) | − | 15.0000i | − | 0.668817i | −0.942428 | − | 0.334408i | \(-0.891463\pi\) | ||
0.942428 | − | 0.334408i | \(-0.108537\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.00000 | − | 18.0000i | 0.400495 | − | 0.800989i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.8564 | − | 8.00000i | 0.614779 | − | 0.354943i | ||||
\(509\) | −13.5000 | + | 23.3827i | −0.598377 | + | 1.03642i | 0.394684 | + | 0.918817i | \(0.370854\pi\) |
−0.993061 | + | 0.117602i | \(0.962479\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −15.0000 | + | 5.19615i | −0.663561 | + | 0.229864i | ||||
\(512\) | 11.0000i | 0.486136i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.0000 | + | 17.3205i | 0.441081 | + | 0.763975i | ||||
\(515\) | −0.937822 | − | 15.6244i | −0.0413254 | − | 0.688491i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | −6.92820 | − | 20.0000i | −0.304408 | − | 0.878750i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.39230 | + | 11.1962i | 0.324174 | + | 0.490984i | ||||
\(521\) | 7.00000 | + | 12.1244i | 0.306676 | + | 0.531178i | 0.977633 | − | 0.210318i | \(-0.0674500\pi\) |
−0.670957 | + | 0.741496i | \(0.734117\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.46410 | + | 2.00000i | 0.151475 | + | 0.0874539i | 0.573822 | − | 0.818980i | \(-0.305460\pi\) |
−0.422347 | + | 0.906434i | \(0.638794\pi\) | |||||||
\(524\) | −4.00000 | −0.174741 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.00000 | −0.392419 | ||||||||
\(527\) | 3.46410 | + | 2.00000i | 0.150899 | + | 0.0871214i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.00000 | − | 12.1244i | −0.304348 | − | 0.527146i | ||||
\(530\) | −7.39230 | − | 11.1962i | −0.321101 | − | 0.486330i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.5885 | + | 3.00000i | 0.675845 | + | 0.130066i | ||||
\(533\) | 10.0000i | 0.433148i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.47372 | − | 24.5526i | −0.0637145 | − | 1.06150i | ||||
\(536\) | 7.50000 | + | 12.9904i | 0.323951 | + | 0.561099i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.0000i | 0.474244i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.50000 | − | 2.59808i | 0.0644900 | − | 0.111700i | −0.831978 | − | 0.554809i | \(-0.812791\pi\) |
0.896468 | + | 0.443109i | \(0.146125\pi\) | |||||||
\(542\) | 1.73205 | − | 1.00000i | 0.0743980 | − | 0.0429537i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.00000 | − | 8.66025i | 0.214373 | − | 0.371305i | ||||
\(545\) | 5.00000 | − | 10.0000i | 0.214176 | − | 0.428353i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 17.0000i | − | 0.726868i | −0.931620 | − | 0.363434i | \(-0.881604\pi\) | ||
0.931620 | − | 0.363434i | \(-0.118396\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 21.0000 | − | 36.3731i | 0.894630 | − | 1.54954i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.46410 | − | 4.00000i | 0.147309 | − | 0.170097i | ||||
\(554\) | 10.0000 | 0.424859 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.00000 | + | 6.92820i | 0.169638 | + | 0.293821i | ||||
\(557\) | 38.1051 | − | 22.0000i | 1.61457 | − | 0.932170i | 0.626272 | − | 0.779604i | \(-0.284580\pi\) |
0.988293 | − | 0.152566i | \(-0.0487535\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −14.0000 | −0.592137 | ||||||||
\(560\) | 5.86603 | + | 0.767949i | 0.247885 | + | 0.0324518i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.1244 | + | 7.00000i | 0.511435 | + | 0.295277i | ||||
\(563\) | 28.5788 | − | 16.5000i | 1.20445 | − | 0.695392i | 0.242912 | − | 0.970048i | \(-0.421897\pi\) |
0.961542 | + | 0.274656i | \(0.0885641\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.1962 | + | 7.39230i | −0.471026 | + | 0.310997i | ||||
\(566\) | −16.0000 | −0.672530 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 6.00000i | − | 0.251754i | ||||||
\(569\) | 9.00000 | − | 15.5885i | 0.377300 | − | 0.653502i | −0.613369 | − | 0.789797i | \(-0.710186\pi\) |
0.990668 | + | 0.136295i | \(0.0435194\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.00000 | + | 15.5885i | 0.376638 | + | 0.652357i | 0.990571 | − | 0.137002i | \(-0.0437466\pi\) |
−0.613933 | + | 0.789359i | \(0.710413\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.0000 | + | 8.66025i | 0.417392 | + | 0.361472i | ||||
\(575\) | −12.0000 | + | 9.00000i | −0.500435 | + | 0.375326i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.7128 | + | 16.0000i | −1.15370 | + | 0.666089i | −0.949786 | − | 0.312900i | \(-0.898699\pi\) |
−0.203913 | + | 0.978989i | \(0.565366\pi\) | |||||||
\(578\) | −11.2583 | + | 6.50000i | −0.468285 | + | 0.270364i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.00000 | + | 14.0000i | −0.290659 | + | 0.581318i | ||||
\(581\) | −5.50000 | + | 28.5788i | −0.228178 | + | 1.18565i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −9.00000 | − | 15.5885i | −0.372423 | − | 0.645055i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.0000 | + | 20.7846i | −0.495715 | + | 0.858604i | ||||
\(587\) | 36.0000i | 1.48588i | 0.669359 | + | 0.742940i | \(0.266569\pi\) | ||||
−0.669359 | + | 0.742940i | \(0.733431\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.0000 | −0.494451 | ||||||||
\(590\) | −18.6603 | + | 12.3205i | −0.768231 | + | 0.507227i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.92820 | − | 4.00000i | 0.284747 | − | 0.164399i | ||||
\(593\) | −19.0526 | − | 11.0000i | −0.782395 | − | 0.451716i | 0.0548835 | − | 0.998493i | \(-0.482521\pi\) |
−0.837278 | + | 0.546777i | \(0.815855\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.39230 | − | 7.19615i | −0.385047 | − | 0.295013i | ||||
\(596\) | 1.00000 | 0.0409616 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.19615 | − | 3.00000i | 0.212486 | − | 0.122679i | ||||
\(599\) | 22.0000 | + | 38.1051i | 0.898896 | + | 1.55693i | 0.828908 | + | 0.559385i | \(0.188963\pi\) |
0.0699877 | + | 0.997548i | \(0.477704\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.0000 | 0.407909 | 0.203954 | − | 0.978980i | \(-0.434621\pi\) | ||||
0.203954 | + | 0.978980i | \(0.434621\pi\) | |||||||
\(602\) | −12.1244 | + | 14.0000i | −0.494152 | + | 0.570597i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.00000 | + | 12.1244i | −0.284826 | + | 0.493333i | ||||
\(605\) | −24.5526 | + | 1.47372i | −0.998203 | + | 0.0599153i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.5788 | + | 16.5000i | 1.15998 | + | 0.669714i | 0.951299 | − | 0.308270i | \(-0.0997499\pi\) |
0.208680 | + | 0.977984i | \(0.433083\pi\) | |||||||
\(608\) | 30.0000i | 1.21666i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.0000 | + | 7.00000i | 0.566843 | + | 0.283422i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 29.4449 | − | 17.0000i | 1.18927 | − | 0.686624i | 0.231127 | − | 0.972924i | \(-0.425759\pi\) |
0.958140 | + | 0.286300i | \(0.0924254\pi\) | |||||||
\(614\) | −11.5000 | + | 19.9186i | −0.464102 | + | 0.803849i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.00000i | 0.161034i | 0.996753 | + | 0.0805170i | \(0.0256571\pi\) | ||||
−0.996753 | + | 0.0805170i | \(0.974343\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.0000 | + | 24.2487i | 0.562708 | + | 0.974638i | 0.997259 | + | 0.0739910i | \(0.0235736\pi\) |
−0.434551 | + | 0.900647i | \(0.643093\pi\) | |||||||
\(620\) | 4.46410 | − | 0.267949i | 0.179283 | − | 0.0107611i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 30.0000i | 1.20289i | ||||||||
\(623\) | 15.5885 | − | 18.0000i | 0.624538 | − | 0.721155i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.2846 | − | 18.0622i | −0.691384 | − | 0.722487i | ||||
\(626\) | 12.0000 | + | 20.7846i | 0.479616 | + | 0.830720i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.3923 | − | 6.00000i | −0.414698 | − | 0.239426i | ||||
\(629\) | −16.0000 | −0.637962 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 40.0000 | 1.59237 | 0.796187 | − | 0.605050i | \(-0.206847\pi\) | ||||
0.796187 | + | 0.605050i | \(0.206847\pi\) | |||||||
\(632\) | 5.19615 | + | 3.00000i | 0.206692 | + | 0.119334i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.00000 | − | 5.19615i | −0.119145 | − | 0.206366i | ||||
\(635\) | 29.8564 | − | 19.7128i | 1.18482 | − | 0.782279i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.19615 | − | 13.0000i | 0.205879 | − | 0.515079i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.401924 | − | 6.69615i | −0.0158874 | − | 0.264689i | ||||
\(641\) | −5.50000 | − | 9.52628i | −0.217237 | − | 0.376265i | 0.736725 | − | 0.676192i | \(-0.236371\pi\) |
−0.953962 | + | 0.299927i | \(0.903038\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.00000i | 0.157745i | 0.996885 | + | 0.0788723i | \(0.0251319\pi\) | ||||
−0.996885 | + | 0.0788723i | \(0.974868\pi\) | |||||||
\(644\) | −1.50000 | + | 7.79423i | −0.0591083 | + | 0.307136i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.00000 | + | 10.3923i | −0.236067 | + | 0.408880i | ||||
\(647\) | −40.7032 | + | 23.5000i | −1.60021 | + | 0.923880i | −0.608763 | + | 0.793352i | \(0.708334\pi\) |
−0.991445 | + | 0.130528i | \(0.958333\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 6.00000 | + | 8.00000i | 0.235339 | + | 0.313786i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.00000i | 0.156652i | ||||||||
\(653\) | 22.5167 | + | 13.0000i | 0.881145 | + | 0.508729i | 0.871036 | − | 0.491220i | \(-0.163449\pi\) |
0.0101092 | + | 0.999949i | \(0.496782\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.92820 | + | 0.535898i | −0.348854 | + | 0.0209393i | ||||
\(656\) | −2.50000 | + | 4.33013i | −0.0976086 | + | 0.169063i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.00000 | 0.233727 | 0.116863 | − | 0.993148i | \(-0.462716\pi\) | ||||
0.116863 | + | 0.993148i | \(0.462716\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.50000 | + | 7.79423i | 0.175030 | + | 0.303160i | 0.940172 | − | 0.340701i | \(-0.110665\pi\) |
−0.765142 | + | 0.643862i | \(0.777331\pi\) | |||||||
\(662\) | −5.19615 | + | 3.00000i | −0.201954 | + | 0.116598i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −33.0000 | −1.28065 | ||||||||
\(665\) | 35.1962 | + | 4.60770i | 1.36485 | + | 0.178679i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.1865 | + | 10.5000i | 0.704185 | + | 0.406562i | ||||
\(668\) | 2.59808 | − | 1.50000i | 0.100523 | − | 0.0580367i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6.16025 | + | 9.33013i | 0.237991 | + | 0.360454i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 36.0000i | 1.38770i | 0.720121 | + | 0.693849i | \(0.244086\pi\) | ||||
−0.720121 | + | 0.693849i | \(0.755914\pi\) | |||||||
\(674\) | −9.00000 | + | 15.5885i | −0.346667 | + | 0.600445i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.50000 | − | 7.79423i | −0.173077 | − | 0.299778i | ||||
\(677\) | −12.1244 | − | 7.00000i | −0.465977 | − | 0.269032i | 0.248577 | − | 0.968612i | \(-0.420037\pi\) |
−0.714554 | + | 0.699580i | \(0.753370\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.00000 | + | 41.5692i | −0.307012 | + | 1.59528i | ||||
\(680\) | 6.00000 | − | 12.0000i | 0.230089 | − | 0.460179i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 30.3109 | − | 17.5000i | 1.15981 | − | 0.669619i | 0.208555 | − | 0.978011i | \(-0.433124\pi\) |
0.951259 | + | 0.308392i | \(0.0997908\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −8.50000 | − | 16.4545i | −0.324532 | − | 0.628235i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.06218 | − | 3.50000i | −0.231118 | − | 0.133436i | ||||
\(689\) | −6.00000 | − | 10.3923i | −0.228582 | − | 0.395915i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 10.0000 | − | 17.3205i | 0.380418 | − | 0.658903i | −0.610704 | − | 0.791859i | \(-0.709113\pi\) |
0.991122 | + | 0.132956i | \(0.0424468\pi\) | |||||||
\(692\) | − | 12.0000i | − | 0.456172i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −15.0000 | −0.569392 | ||||||||
\(695\) | 9.85641 | + | 14.9282i | 0.373875 | + | 0.566259i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.66025 | − | 5.00000i | 0.328031 | − | 0.189389i | ||||
\(698\) | 14.7224 | + | 8.50000i | 0.557252 | + | 0.321730i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −13.1962 | − | 0.928203i | −0.498768 | − | 0.0350828i | ||||
\(701\) | 1.00000 | 0.0377695 | 0.0188847 | − | 0.999822i | \(-0.493988\pi\) | ||||
0.0188847 | + | 0.999822i | \(0.493988\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 41.5692 | − | 24.0000i | 1.56781 | − | 0.905177i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −26.0000 | −0.978523 | ||||||||
\(707\) | −7.79423 | − | 22.5000i | −0.293132 | − | 0.846200i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −24.5000 | + | 42.4352i | −0.920117 | + | 1.59369i | −0.120885 | + | 0.992667i | \(0.538573\pi\) |
−0.799232 | + | 0.601023i | \(0.794760\pi\) | |||||||
\(710\) | −0.267949 | − | 4.46410i | −0.0100560 | − | 0.167535i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 23.3827 | + | 13.5000i | 0.876303 | + | 0.505934i | ||||
\(713\) | − | 6.00000i | − | 0.224702i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 1.00000 | − | 1.73205i | 0.0373718 | − | 0.0647298i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −8.66025 | + | 5.00000i | −0.323198 | + | 0.186598i | ||||
\(719\) | −18.0000 | + | 31.1769i | −0.671287 | + | 1.16270i | 0.306253 | + | 0.951950i | \(0.400925\pi\) |
−0.977539 | + | 0.210752i | \(0.932409\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.0000 | − | 12.1244i | −0.521387 | − | 0.451535i | ||||
\(722\) | − | 17.0000i | − | 0.632674i | ||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.50000 | + | 2.59808i | 0.0557471 | + | 0.0965567i | ||||
\(725\) | −13.7487 | + | 32.1865i | −0.510614 | + | 1.19538i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 47.0000i | − | 1.74313i | −0.490277 | − | 0.871567i | \(-0.663104\pi\) | ||
0.490277 | − | 0.871567i | \(-0.336896\pi\) | |||||||
\(728\) | 15.5885 | + | 3.00000i | 0.577747 | + | 0.111187i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.39230 | − | 11.1962i | −0.273601 | − | 0.414388i | ||||
\(731\) | 7.00000 | + | 12.1244i | 0.258904 | + | 0.448435i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −13.8564 | − | 8.00000i | −0.511798 | − | 0.295487i | 0.221774 | − | 0.975098i | \(-0.428815\pi\) |
−0.733572 | + | 0.679611i | \(0.762148\pi\) | |||||||
\(734\) | 27.0000 | 0.996588 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.0000 | −0.552907 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.00000 | + | 13.8564i | 0.294285 | + | 0.509716i | 0.974818 | − | 0.223001i | \(-0.0715853\pi\) |
−0.680534 | + | 0.732717i | \(0.738252\pi\) | |||||||
\(740\) | −14.9282 | + | 9.85641i | −0.548772 | + | 0.362329i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −15.5885 | − | 3.00000i | −0.572270 | − | 0.110133i | ||||
\(743\) | − | 49.0000i | − | 1.79764i | −0.438322 | − | 0.898818i | \(-0.644427\pi\) | ||
0.438322 | − | 0.898818i | \(-0.355573\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.23205 | − | 0.133975i | 0.0817760 | − | 0.00490845i | ||||
\(746\) | −12.0000 | − | 20.7846i | −0.439351 | − | 0.760979i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −22.0000 | − | 19.0526i | −0.803863 | − | 0.696165i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 6.00000 | − | 10.3923i | 0.218943 | − | 0.379221i | −0.735542 | − | 0.677479i | \(-0.763072\pi\) |
0.954485 | + | 0.298259i | \(0.0964058\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 7.00000 | − | 12.1244i | 0.254925 | − | 0.441543i | ||||
\(755\) | −14.0000 | + | 28.0000i | −0.509512 | + | 1.01902i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.0000i | 0.799604i | 0.916602 | + | 0.399802i | \(0.130921\pi\) | ||||
−0.916602 | + | 0.399802i | \(0.869079\pi\) | |||||||
\(758\) | 8.66025 | + | 5.00000i | 0.314555 | + | 0.181608i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.41154 | + | 40.1769i | 0.0874758 | + | 1.45737i | ||||
\(761\) | 7.00000 | − | 12.1244i | 0.253750 | − | 0.439508i | −0.710805 | − | 0.703389i | \(-0.751669\pi\) |
0.964555 | + | 0.263881i | \(0.0850027\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.33013 | − | 12.5000i | −0.156761 | − | 0.452530i | ||||
\(764\) | −12.0000 | −0.434145 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.50000 | − | 4.33013i | −0.0903287 | − | 0.156454i | ||||
\(767\) | −17.3205 | + | 10.0000i | −0.625407 | + | 0.361079i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 30.0000 | 1.08183 | 0.540914 | − | 0.841078i | \(-0.318079\pi\) | ||||
0.540914 | + | 0.841078i | \(0.318079\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.46410 | − | 2.00000i | −0.124676 | − | 0.0719816i | ||||
\(773\) | 15.5885 | − | 9.00000i | 0.560678 | − | 0.323708i | −0.192740 | − | 0.981250i | \(-0.561737\pi\) |
0.753418 | + | 0.657542i | \(0.228404\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.92820 | − | 1.19615i | 0.356632 | − | 0.0429671i | ||||
\(776\) | −48.0000 | −1.72310 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 14.0000i | − | 0.501924i | ||||||
\(779\) | −15.0000 | + | 25.9808i | −0.537431 | + | 0.930857i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −5.19615 | − | 3.00000i | −0.185814 | − | 0.107280i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.50000 | − | 4.33013i | 0.196429 | − | 0.154647i | ||||
\(785\) | −24.0000 | − | 12.0000i | −0.856597 | − | 0.428298i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −14.7224 | + | 8.50000i | −0.524798 | + | 0.302992i | −0.738896 | − | 0.673820i | \(-0.764652\pi\) |
0.214097 | + | 0.976812i | \(0.431319\pi\) | |||||||
\(788\) | 6.92820 | − | 4.00000i | 0.246807 | − | 0.142494i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 4.00000 | + | 2.00000i | 0.142314 | + | 0.0711568i | ||||
\(791\) | −3.00000 | + | 15.5885i | −0.106668 | + | 0.554262i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.1244 | + | 7.00000i | 0.430548 | + | 0.248577i | ||||
\(794\) | 8.00000 | + | 13.8564i | 0.283909 | + | 0.491745i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.00000 | + | 3.46410i | −0.0708881 | + | 0.122782i | ||||
\(797\) | − | 40.0000i | − | 1.41687i | −0.705775 | − | 0.708436i | \(-0.749401\pi\) | ||
0.705775 | − | 0.708436i | \(-0.250599\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −2.99038 | − | 24.8205i | −0.105726 | − | 0.877537i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.59808 | − | 1.50000i | 0.0917413 | − | 0.0529668i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.30385 | + | 17.5981i | −0.0812000 | + | 0.620251i | ||||
\(806\) | −4.00000 | −0.140894 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 23.3827 | − | 13.5000i | 0.822600 | − | 0.474928i | ||||
\(809\) | −4.50000 | − | 7.79423i | −0.158212 | − | 0.274030i | 0.776012 | − | 0.630718i | \(-0.217239\pi\) |
−0.934224 | + | 0.356687i | \(0.883906\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.00000 | −0.0702295 | −0.0351147 | − | 0.999383i | \(-0.511180\pi\) | ||||
−0.0351147 | + | 0.999383i | \(0.511180\pi\) | |||||||
\(812\) | 6.06218 | + | 17.5000i | 0.212741 | + | 0.614130i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.535898 | + | 8.92820i | 0.0187717 | + | 0.312741i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −36.3731 | − | 21.0000i | −1.27253 | − | 0.734697i | ||||
\(818\) | − | 25.0000i | − | 0.874105i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.00000 | − | 10.0000i | 0.174608 | − | 0.349215i | ||||
\(821\) | 11.0000 | − | 19.0526i | 0.383903 | − | 0.664939i | −0.607714 | − | 0.794156i | \(-0.707913\pi\) |
0.991616 | + | 0.129217i | \(0.0412465\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.6506 | + | 12.5000i | −0.754694 | + | 0.435723i | −0.827387 | − | 0.561632i | \(-0.810174\pi\) |
0.0726937 | + | 0.997354i | \(0.476840\pi\) | |||||||
\(824\) | 10.5000 | − | 18.1865i | 0.365785 | − | 0.633558i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.00000 | + | 25.9808i | −0.173972 | + | 0.903986i | ||||
\(827\) | 39.0000i | 1.35616i | 0.734987 | + | 0.678081i | \(0.237188\pi\) | ||||
−0.734987 | + | 0.678081i | \(0.762812\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0000 | − | 25.9808i | −0.520972 | − | 0.902349i | −0.999703 | − | 0.0243876i | \(-0.992236\pi\) |
0.478731 | − | 0.877962i | \(-0.341097\pi\) | |||||||
\(830\) | −24.5526 | + | 1.47372i | −0.852232 | + | 0.0511536i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 14.0000i | 0.485363i | ||||||||
\(833\) | −13.8564 | + | 2.00000i | −0.480096 | + | 0.0692959i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.59808 | − | 3.69615i | 0.193729 | − | 0.127911i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.7846 | + | 12.0000i | 0.717992 | + | 0.414533i | ||||
\(839\) | 48.0000 | 1.65714 | 0.828572 | − | 0.559883i | \(-0.189154\pi\) | ||||
0.828572 | + | 0.559883i | \(0.189154\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.0000 | 0.689655 | ||||||||
\(842\) | 12.9904 | + | 7.50000i | 0.447678 | + | 0.258467i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.00000 | + | 8.66025i | 0.172107 | + | 0.298098i | ||||
\(845\) | −11.0885 | − | 16.7942i | −0.381455 | − | 0.577739i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.0526 | + | 22.0000i | −0.654654 | + | 0.755929i | ||||
\(848\) | − | 6.00000i | − | 0.206041i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.92820 | − | 9.19615i | 0.134736 | − | 0.315425i | ||||
\(851\) | 12.0000 | + | 20.7846i | 0.411355 | + | 0.712487i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.00000i | 0.205436i | 0.994711 | + | 0.102718i | \(0.0327539\pi\) | ||||
−0.994711 | + | 0.102718i | \(0.967246\pi\) | |||||||
\(854\) | 17.5000 | − | 6.06218i | 0.598838 | − | 0.207443i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.5000 | − | 28.5788i | 0.563958 | − | 0.976805i | ||||
\(857\) | 10.3923 | − | 6.00000i | 0.354994 | − | 0.204956i | −0.311888 | − | 0.950119i | \(-0.600962\pi\) |
0.666883 | + | 0.745163i | \(0.267628\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −16.0000 | + | 27.7128i | −0.545913 | + | 0.945549i | 0.452636 | + | 0.891695i | \(0.350484\pi\) |
−0.998549 | + | 0.0538535i | \(0.982850\pi\) | |||||||
\(860\) | 14.0000 | + | 7.00000i | 0.477396 | + | 0.238698i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 32.0000i | − | 1.08992i | ||||||
\(863\) | 7.79423 | + | 4.50000i | 0.265319 | + | 0.153182i | 0.626758 | − | 0.779214i | \(-0.284381\pi\) |
−0.361440 | + | 0.932395i | \(0.617715\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.60770 | − | 26.7846i | −0.0546633 | − | 0.910704i | ||||
\(866\) | −1.00000 | + | 1.73205i | −0.0339814 | + | 0.0588575i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 3.46410 | − | 4.00000i | 0.117579 | − | 0.135769i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.00000 | + | 8.66025i | 0.169419 | + | 0.293442i | ||||
\(872\) | 12.9904 | − | 7.50000i | 0.439910 | − | 0.253982i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 18.0000 | 0.608859 | ||||||||
\(875\) | −29.5788 | − | 0.303848i | −0.999947 | − | 0.0102719i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.73205 | + | 1.00000i | 0.0584872 | + | 0.0337676i | 0.528958 | − | 0.848648i | \(-0.322583\pi\) |
−0.470471 | + | 0.882415i | \(0.655916\pi\) | |||||||
\(878\) | 20.7846 | − | 12.0000i | 0.701447 | − | 0.404980i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 43.0000 | 1.44871 | 0.724353 | − | 0.689429i | \(-0.242138\pi\) | ||||
0.724353 | + | 0.689429i | \(0.242138\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 36.0000i | − | 1.21150i | −0.795656 | − | 0.605748i | \(-0.792874\pi\) | ||
0.795656 | − | 0.605748i | \(-0.207126\pi\) | |||||||
\(884\) | 2.00000 | − | 3.46410i | 0.0672673 | − | 0.116510i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.5000 | − | 26.8468i | −0.520733 | − | 0.901935i | ||||
\(887\) | 37.2391 | + | 21.5000i | 1.25037 | + | 0.721899i | 0.971182 | − | 0.238338i | \(-0.0766027\pi\) |
0.279184 | + | 0.960238i | \(0.409936\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 8.00000 | − | 41.5692i | 0.268311 | − | 1.39419i | ||||
\(890\) | 18.0000 | + | 9.00000i | 0.603361 | + | 0.301681i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.00000 | − | 4.00000i | 0.0668526 | − | 0.133705i | ||||
\(896\) | −6.00000 | − | 5.19615i | −0.200446 | − | 0.173591i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 26.8468 | + | 15.5000i | 0.895889 | + | 0.517242i | ||||
\(899\) | −7.00000 | − | 12.1244i | −0.233463 | − | 0.404370i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.00000 | + | 10.3923i | −0.199889 | + | 0.346218i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.0000 | −0.598671 | ||||||||
\(905\) | 3.69615 | + | 5.59808i | 0.122864 | + | 0.186086i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.4545 | + | 9.50000i | −0.546362 | + | 0.315442i | −0.747653 | − | 0.664089i | \(-0.768820\pi\) |
0.201291 | + | 0.979531i | \(0.435486\pi\) | |||||||
\(908\) | −17.3205 | − | 10.0000i | −0.574801 | − | 0.331862i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 11.7321 | + | 1.53590i | 0.388914 | + | 0.0509145i | ||||
\(911\) | −24.0000 | −0.795155 | −0.397578 | − | 0.917568i | \(-0.630149\pi\) | ||||
−0.397578 | + | 0.917568i | \(0.630149\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −16.0000 | − | 27.7128i | −0.529233 | − | 0.916658i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 22.0000 | 0.726900 | ||||||||
\(917\) | −6.92820 | + | 8.00000i | −0.228789 | + | 0.264183i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 17.0000 | − | 29.4449i | 0.560778 | − | 0.971296i | −0.436650 | − | 0.899631i | \(-0.643835\pi\) |
0.997429 | − | 0.0716652i | \(-0.0228313\pi\) | |||||||
\(920\) | −20.0885 | + | 1.20577i | −0.662297 | + | 0.0397531i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −15.5885 | − | 9.00000i | −0.513378 | − | 0.296399i | ||||
\(923\) | − | 4.00000i | − | 0.131662i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −32.0000 | + | 24.0000i | −1.05215 | + | 0.789115i | ||||
\(926\) | 1.50000 | − | 2.59808i | 0.0492931 | − | 0.0853781i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −30.3109 | + | 17.5000i | −0.995004 | + | 0.574466i | ||||
\(929\) | 14.5000 | − | 25.1147i | 0.475730 | − | 0.823988i | −0.523884 | − | 0.851790i | \(-0.675517\pi\) |
0.999613 | + | 0.0278019i | \(0.00885076\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.0000 | − | 25.9808i | 1.08153 | − | 0.851485i | ||||
\(932\) | 14.0000i | 0.458585i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.50000 | + | 2.59808i | 0.0490815 | + | 0.0850117i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 8.00000i | − | 0.261349i | −0.991425 | − | 0.130674i | \(-0.958286\pi\) | ||
0.991425 | − | 0.130674i | \(-0.0417142\pi\) | |||||||
\(938\) | 12.9904 | + | 2.50000i | 0.424151 | + | 0.0816279i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.00000 | − | 15.5885i | −0.293392 | − | 0.508169i | 0.681218 | − | 0.732081i | \(-0.261451\pi\) |
−0.974609 | + | 0.223912i | \(0.928117\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.9904 | − | 7.50000i | −0.423025 | − | 0.244234i | ||||
\(944\) | −10.0000 | −0.325472 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −49.3634 | − | 28.5000i | −1.60410 | − | 0.926126i | −0.990656 | − | 0.136385i | \(-0.956452\pi\) |
−0.613441 | − | 0.789741i | \(-0.710215\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −6.00000 | − | 10.3923i | −0.194768 | − | 0.337348i | ||||
\(950\) | 3.58846 | + | 29.7846i | 0.116425 | + | 0.966340i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.19615 | − | 15.0000i | −0.168408 | − | 0.486153i | ||||
\(953\) | 60.0000i | 1.94359i | 0.235826 | + | 0.971795i | \(0.424220\pi\) | ||||
−0.235826 | + | 0.971795i | \(0.575780\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.7846 | + | 1.60770i | −0.866730 | + | 0.0520238i | ||||
\(956\) | 9.00000 | + | 15.5885i | 0.291081 | + | 0.504167i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 42.0000i | − | 1.35696i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.5000 | − | 23.3827i | 0.435484 | − | 0.754280i | ||||
\(962\) | 13.8564 | − | 8.00000i | 0.446748 | − | 0.257930i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 7.00000 | − | 12.1244i | 0.225455 | − | 0.390499i | ||||
\(965\) | −8.00000 | − | 4.00000i | −0.257529 | − | 0.128765i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 13.0000i | − | 0.418052i | −0.977910 | − | 0.209026i | \(-0.932971\pi\) | ||
0.977910 | − | 0.209026i | \(-0.0670293\pi\) | |||||||
\(968\) | −28.5788 | − | 16.5000i | −0.918559 | − | 0.530330i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −35.7128 | + | 2.14359i | −1.14667 | + | 0.0688266i | ||||
\(971\) | −16.0000 | + | 27.7128i | −0.513464 | + | 0.889346i | 0.486414 | + | 0.873729i | \(0.338305\pi\) |
−0.999878 | + | 0.0156178i | \(0.995028\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 20.7846 | + | 4.00000i | 0.666324 | + | 0.128234i | ||||
\(974\) | −12.0000 | −0.384505 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 3.50000 | + | 6.06218i | 0.112032 | + | 0.194046i | ||||
\(977\) | −51.9615 | + | 30.0000i | −1.66240 | + | 0.959785i | −0.690830 | + | 0.723017i | \(0.742755\pi\) |
−0.971566 | + | 0.236768i | \(0.923912\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −11.6962 | + | 10.4019i | −0.373620 | + | 0.332277i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 22.5167 | + | 13.0000i | 0.718536 | + | 0.414847i | ||||
\(983\) | 2.59808 | − | 1.50000i | 0.0828658 | − | 0.0478426i | −0.457995 | − | 0.888955i | \(-0.651432\pi\) |
0.540860 | + | 0.841112i | \(0.318099\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.9282 | − | 9.85641i | 0.475652 | − | 0.314051i | ||||
\(986\) | −14.0000 | −0.445851 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.0000i | 0.381771i | ||||||||
\(989\) | 10.5000 | − | 18.1865i | 0.333881 | − | 0.578298i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 25.0000 | + | 43.3013i | 0.794151 | + | 1.37551i | 0.923377 | + | 0.383895i | \(0.125418\pi\) |
−0.129226 | + | 0.991615i | \(0.541249\pi\) | |||||||
\(992\) | 8.66025 | + | 5.00000i | 0.274963 | + | 0.158750i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.00000 | − | 3.46410i | −0.126872 | − | 0.109875i | ||||
\(995\) | −4.00000 | + | 8.00000i | −0.126809 | + | 0.253617i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.73205 | + | 1.00000i | −0.0548546 | + | 0.0316703i | −0.527176 | − | 0.849756i | \(-0.676749\pi\) |
0.472322 | + | 0.881426i | \(0.343416\pi\) | |||||||
\(998\) | 13.8564 | − | 8.00000i | 0.438617 | − | 0.253236i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))