Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(49,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 0, 46]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.y (of order \(33\), degree \(20\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 804.49 |
Dual form | 804.2.y.b.361.1 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{33}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −0.841254 | − | 0.540641i | −0.485698 | − | 0.312139i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.597458 | − | 4.15542i | −0.267192 | − | 1.85836i | −0.474730 | − | 0.880131i | \(-0.657454\pi\) |
0.207539 | − | 0.978227i | \(-0.433455\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.22256 | + | 0.307717i | 1.21801 | + | 0.116306i | 0.684199 | − | 0.729296i | \(-0.260152\pi\) |
0.533814 | + | 0.845602i | \(0.320758\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.415415 | + | 0.909632i | 0.138472 | + | 0.303211i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.67720 | + | 1.07179i | 0.807206 | + | 0.323156i | 0.738305 | − | 0.674467i | \(-0.235627\pi\) |
0.0689008 | + | 0.997624i | \(0.478051\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.73782 | + | 3.56401i | 1.03669 | + | 0.988478i | 0.999941 | − | 0.0108467i | \(-0.00345269\pi\) |
0.0367447 | + | 0.999325i | \(0.488301\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.74397 | + | 3.81877i | −0.450292 | + | 0.986002i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.37683 | − | 6.86740i | 0.576466 | − | 1.66559i | −0.158398 | − | 0.987375i | \(-0.550633\pi\) |
0.734864 | − | 0.678214i | \(-0.237246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.298813 | − | 0.0285332i | 0.0685524 | − | 0.00654596i | −0.0607235 | − | 0.998155i | \(-0.519341\pi\) |
0.129276 | + | 0.991609i | \(0.458735\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.54463 | − | 2.00112i | −0.555283 | − | 0.436679i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.141620 | + | 2.97297i | −0.0295298 | + | 0.619908i | 0.934795 | + | 0.355187i | \(0.115583\pi\) |
−0.964325 | + | 0.264721i | \(0.914720\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.1131 | + | 3.55671i | −2.42261 | + | 0.711343i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.142315 | − | 0.989821i | 0.0273885 | − | 0.190491i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.33398 | − | 5.77462i | 0.619104 | − | 1.07232i | −0.370546 | − | 0.928814i | \(-0.620829\pi\) |
0.989650 | − | 0.143505i | \(-0.0458374\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.44794 | − | 2.33411i | 0.439664 | − | 0.419219i | −0.437643 | − | 0.899149i | \(-0.644187\pi\) |
0.877307 | + | 0.479930i | \(0.159338\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.67275 | − | 2.34905i | −0.291188 | − | 0.408917i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.646653 | − | 13.5749i | −0.109304 | − | 2.29458i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.336012 | − | 0.581990i | −0.0552401 | − | 0.0956786i | 0.837083 | − | 0.547076i | \(-0.184259\pi\) |
−0.892323 | + | 0.451397i | \(0.850926\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1.21761 | − | 5.01905i | −0.194974 | − | 0.803692i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.3429 | + | 1.99343i | −1.61529 | + | 0.311322i | −0.915282 | − | 0.402814i | \(-0.868032\pi\) |
−0.700008 | + | 0.714135i | \(0.746820\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.38396 | − | 5.05936i | −0.668547 | − | 0.771545i | 0.315601 | − | 0.948892i | \(-0.397794\pi\) |
−0.984148 | + | 0.177347i | \(0.943248\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.53171 | − | 2.26969i | 0.526476 | − | 0.338345i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.85388 | + | 3.01789i | −0.853876 | + | 0.440204i | −0.828842 | − | 0.559483i | \(-0.811000\pi\) |
−0.0250343 | + | 0.999687i | \(0.507969\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.41670 | + | 0.658515i | 0.488100 | + | 0.0940735i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.71231 | + | 4.49221i | −0.799884 | + | 0.629036i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.08733 | + | 3.56297i | −0.424078 | + | 0.489412i | −0.927075 | − | 0.374876i | \(-0.877685\pi\) |
0.502997 | + | 0.864288i | \(0.332231\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.85421 | − | 11.7652i | 0.384862 | − | 1.58642i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.266804 | − | 0.137547i | −0.0353390 | − | 0.0182185i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 10.2488 | + | 3.00933i | 1.33429 | + | 0.391781i | 0.869627 | − | 0.493709i | \(-0.164359\pi\) |
0.464658 | + | 0.885490i | \(0.346177\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.658869 | + | 0.263772i | −0.0843596 | + | 0.0337725i | −0.413458 | − | 0.910523i | \(-0.635679\pi\) |
0.329099 | + | 0.944295i | \(0.393255\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.05879 | + | 3.05917i | 0.133395 | + | 0.385420i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.5767 | − | 17.6616i | 1.55995 | − | 2.19065i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.48863 | + | 4.98975i | 0.792713 | + | 0.609596i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1.72645 | − | 2.42446i | 0.207840 | − | 0.291871i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.131683 | − | 0.380473i | −0.0156279 | − | 0.0451538i | 0.936917 | − | 0.349552i | \(-0.113666\pi\) |
−0.952545 | + | 0.304398i | \(0.901545\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.44202 | + | 0.577298i | −0.168776 | + | 0.0675676i | −0.454512 | − | 0.890741i | \(-0.650186\pi\) |
0.285736 | + | 0.958308i | \(0.407762\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 12.1131 | + | 3.55671i | 1.39869 | + | 0.410694i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.29762 | + | 4.27772i | 0.945602 | + | 0.487492i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.94006 | − | 7.99702i | 0.218273 | − | 0.899736i | −0.752279 | − | 0.658845i | \(-0.771045\pi\) |
0.970552 | − | 0.240891i | \(-0.0774395\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 8.00214 | − | 6.29295i | 0.878349 | − | 0.690741i | −0.0735047 | − | 0.997295i | \(-0.523418\pi\) |
0.951853 | + | 0.306554i | \(0.0991760\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −29.9570 | − | 5.77373i | −3.24929 | − | 0.626249i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.92671 | + | 3.05543i | −0.635410 | + | 0.327577i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −5.98146 | + | 3.84405i | −0.634034 | + | 0.407469i | −0.817801 | − | 0.575501i | \(-0.804807\pi\) |
0.183767 | + | 0.982970i | \(0.441171\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.9487 | + | 12.6354i | 1.14773 | + | 1.32455i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.32126 | + | 0.640120i | −0.344398 | + | 0.0663773i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.297095 | − | 1.22464i | −0.0304814 | − | 0.125646i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.50149 | + | 12.9930i | 0.761660 | + | 1.31923i | 0.941994 | + | 0.335629i | \(0.108949\pi\) |
−0.180334 | + | 0.983605i | \(0.557718\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.137215 | + | 2.88050i | 0.0137907 | + | 0.289501i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.10629 | + | 8.57509i | 0.607599 | + | 0.853253i | 0.997719 | − | 0.0675108i | \(-0.0215057\pi\) |
−0.390120 | + | 0.920764i | \(0.627566\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.18498 | − | 1.12988i | 0.116760 | − | 0.111330i | −0.629450 | − | 0.777041i | \(-0.716720\pi\) |
0.746210 | + | 0.665711i | \(0.231871\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.79516 | + | 11.7696i | −0.663139 | + | 1.14859i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.259425 | + | 1.80434i | −0.0250796 | + | 0.174432i | −0.998511 | − | 0.0545452i | \(-0.982629\pi\) |
0.973432 | + | 0.228977i | \(0.0735382\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.69108 | + | 2.84556i | −0.928237 | + | 0.272555i | −0.710698 | − | 0.703497i | \(-0.751621\pi\) |
−0.217539 | + | 0.976052i | \(0.569803\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.0319762 | + | 0.671263i | −0.00303505 | + | 0.0637135i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.1378 | − | 11.1181i | −1.32998 | − | 1.04590i | −0.994596 | − | 0.103822i | \(-0.966893\pi\) |
−0.335380 | − | 0.942083i | \(-0.608865\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.4386 | − | 1.18774i | 1.15990 | − | 0.110757i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.68919 | + | 4.88059i | −0.156165 | + | 0.451210i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.77270 | − | 21.3992i | 0.895862 | − | 1.96166i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.94241 | − | 1.85209i | −0.176583 | − | 0.168372i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.77873 | + | 3.91481i | 0.881719 | + | 0.352987i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 13.2968 | + | 29.1159i | 1.18930 | + | 2.60421i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.7891 | − | 1.03023i | −0.957377 | − | 0.0914184i | −0.395344 | − | 0.918533i | \(-0.629375\pi\) |
−0.562033 | + | 0.827115i | \(0.689981\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.952725 | + | 6.62635i | 0.0838828 | + | 0.583417i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.73349 | + | 3.68469i | 0.500938 | + | 0.321933i | 0.766591 | − | 0.642135i | \(-0.221951\pi\) |
−0.265653 | + | 0.964069i | \(0.585588\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.971723 | 0.0842590 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.19815 | −0.361319 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.658190 | + | 0.422993i | 0.0562329 | + | 0.0361387i | 0.568455 | − | 0.822714i | \(-0.307541\pi\) |
−0.512222 | + | 0.858853i | \(0.671178\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.41814 | − | 16.8185i | −0.205104 | − | 1.42653i | −0.788848 | − | 0.614589i | \(-0.789322\pi\) |
0.583744 | − | 0.811938i | \(-0.301587\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.55619 | + | 0.626040i | 0.552131 | + | 0.0527221i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 6.18703 | + | 13.5477i | 0.517386 | + | 1.13292i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −25.9878 | − | 10.4040i | −2.15817 | − | 0.864002i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.51829 | − | 2.40118i | −0.207705 | − | 0.198046i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.84791 | + | 12.8051i | −0.479079 | + | 1.04904i | 0.503636 | + | 0.863916i | \(0.331995\pi\) |
−0.982716 | + | 0.185121i | \(0.940732\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.13443 | + | 14.8350i | −0.417834 | + | 1.20725i | 0.518174 | + | 0.855275i | \(0.326612\pi\) |
−0.936008 | + | 0.351978i | \(0.885509\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.23418 | − | 0.690780i | 0.584849 | − | 0.0558463i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.1617 | − | 8.77769i | −0.896533 | − | 0.705041i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.850546 | + | 17.8552i | −0.0678810 | + | 1.42500i | 0.666118 | + | 0.745846i | \(0.267955\pi\) |
−0.733999 | + | 0.679150i | \(0.762348\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.52352 | − | 1.32822i | 0.358738 | − | 0.105335i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.37121 | + | 9.53701i | −0.108067 | + | 0.751621i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.52152 | + | 9.56354i | −0.432478 | + | 0.749075i | −0.997086 | − | 0.0762848i | \(-0.975694\pi\) |
0.564608 | + | 0.825359i | \(0.309028\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −8.76187 | + | 8.35443i | −0.682111 | + | 0.650392i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.73971 | − | 3.84739i | −0.212005 | − | 0.297720i | 0.694856 | − | 0.719149i | \(-0.255468\pi\) |
−0.906861 | + | 0.421429i | \(0.861529\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.650610 | + | 13.6580i | 0.0500470 | + | 1.05061i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.150086 | + | 0.259957i | 0.0114774 | + | 0.0198794i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.40137 | − | 14.0206i | −0.258601 | − | 1.06597i | −0.941917 | − | 0.335846i | \(-0.890978\pi\) |
0.683315 | − | 0.730123i | \(-0.260537\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −40.1295 | + | 7.73433i | −3.03350 | + | 0.584660i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.99490 | − | 8.07255i | −0.525769 | − | 0.606770i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.2940 | − | 7.25819i | 0.844150 | − | 0.542503i | −0.0455948 | − | 0.998960i | \(-0.514518\pi\) |
0.889745 | + | 0.456458i | \(0.150882\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.7014 | − | 10.1568i | 1.46440 | − | 0.754949i | 0.472420 | − | 0.881373i | \(-0.343380\pi\) |
0.991976 | + | 0.126425i | \(0.0403502\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.696882 | + | 0.134313i | 0.0515150 | + | 0.00992870i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.21766 | + | 1.74398i | −0.163045 | + | 0.128220i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 13.7237 | − | 15.8379i | 1.00357 | − | 1.15818i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.763203 | − | 3.14597i | 0.0555149 | − | 0.228835i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.31102 | − | 2.22248i | −0.311934 | − | 0.160813i | 0.295150 | − | 0.955451i | \(-0.404630\pi\) |
−0.607084 | + | 0.794638i | \(0.707661\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 15.4476 | + | 4.53583i | 1.11194 | + | 0.326496i | 0.785587 | − | 0.618751i | \(-0.212361\pi\) |
0.326356 | + | 0.945247i | \(0.394179\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −20.1288 | + | 8.05835i | −1.44145 | + | 0.577070i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.95218 | − | 14.3084i | −0.352828 | − | 1.01943i | −0.972163 | − | 0.234304i | \(-0.924719\pi\) |
0.619335 | − | 0.785127i | \(-0.287402\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.83988 | + | 3.98806i | −0.201314 | + | 0.282706i | −0.902875 | − | 0.429904i | \(-0.858547\pi\) |
0.701561 | + | 0.712610i | \(0.252487\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.76092 | − | 7.70567i | −0.194740 | − | 0.543516i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.5209 | − | 17.5831i | 0.878794 | − | 1.23409i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 14.4630 | + | 41.7881i | 1.01014 | + | 2.91860i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.76314 | + | 1.10620i | −0.192052 | + | 0.0768859i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.830563 | + | 0.243875i | 0.0574512 | + | 0.0168692i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 21.6564 | + | 11.1646i | 1.49089 | + | 0.768606i | 0.995009 | − | 0.0997856i | \(-0.0318157\pi\) |
0.495879 | + | 0.868392i | \(0.334846\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.0949203 | + | 0.391267i | −0.00650383 | + | 0.0268092i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −18.4045 | + | 21.2399i | −1.25518 | + | 1.44855i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.60689 | − | 6.76854i | 0.584274 | − | 0.459478i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.52522 | + | 0.293961i | 0.103065 | + | 0.0198641i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 33.3596 | − | 17.1981i | 2.24401 | − | 1.15687i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.46772 | − | 1.58591i | 0.165251 | − | 0.106200i | −0.455401 | − | 0.890286i | \(-0.650504\pi\) |
0.620652 | + | 0.784086i | \(0.286868\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.26724 | − | 9.54091i | −0.551150 | − | 0.636061i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 22.1093 | − | 4.26121i | 1.46744 | − | 0.282827i | 0.607951 | − | 0.793974i | \(-0.291992\pi\) |
0.859493 | + | 0.511148i | \(0.170780\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.72808 | − | 7.12322i | −0.114194 | − | 0.470716i | −0.999978 | − | 0.00661749i | \(-0.997894\pi\) |
0.885784 | − | 0.464098i | \(-0.153622\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.66769 | − | 8.08468i | −0.307112 | − | 0.531933i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.282930 | + | 5.93943i | 0.0185354 | + | 0.389105i | 0.989005 | + | 0.147882i | \(0.0472456\pi\) |
−0.970470 | + | 0.241223i | \(0.922451\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.0380 | + | 22.5222i | 1.04620 | + | 1.46919i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −5.95560 | + | 5.67865i | −0.386858 | + | 0.368868i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.25594 | + | 16.0318i | −0.598717 | + | 1.03701i | 0.394294 | + | 0.918985i | \(0.370989\pi\) |
−0.993011 | + | 0.118024i | \(0.962344\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.87457 | + | 13.0379i | −0.120751 | + | 0.839845i | 0.835957 | + | 0.548796i | \(0.184913\pi\) |
−0.956708 | + | 0.291049i | \(0.905996\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.959493 | − | 0.281733i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.695066 | − | 14.5912i | 0.0444062 | − | 0.932200i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.21860 | + | 0.958320i | 0.0775378 | + | 0.0609764i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −10.1341 | + | 0.967685i | −0.642219 | + | 0.0613245i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.24635 | + | 26.7156i | −0.583624 | + | 1.68627i | 0.134977 | + | 0.990849i | \(0.456904\pi\) |
−0.718601 | + | 0.695423i | \(0.755217\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.56554 | + | 7.80745i | −0.224164 | + | 0.490850i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 22.0799 | + | 21.0531i | 1.38270 | + | 1.31840i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −6.67318 | − | 2.67154i | −0.416262 | − | 0.166646i | 0.154071 | − | 0.988060i | \(-0.450762\pi\) |
−0.570333 | + | 0.821414i | \(0.693186\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.903731 | − | 1.97889i | −0.0561551 | − | 0.122963i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.63776 | + | 0.633829i | 0.410867 | + | 0.0392330i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.05250 | − | 28.1858i | −0.249888 | − | 1.73801i | −0.598840 | − | 0.800868i | \(-0.704372\pi\) |
0.348952 | − | 0.937140i | \(-0.386538\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.6502 | + | 10.7004i | 1.02281 | + | 0.657321i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.11018 | 0.435136 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.67808 | 0.163285 | 0.0816427 | − | 0.996662i | \(-0.473983\pi\) | ||||
0.0816427 | + | 0.996662i | \(0.473983\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.6705 | + | 13.2841i | 1.25564 | + | 0.806952i | 0.987681 | − | 0.156478i | \(-0.0500141\pi\) |
0.267960 | + | 0.963430i | \(0.413651\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.37937 | − | 16.5489i | −0.144006 | − | 1.00158i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −36.2411 | − | 3.46060i | −2.18542 | − | 0.208682i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.47129 | − | 14.1701i | −0.388822 | − | 0.851401i | −0.998282 | − | 0.0585850i | \(-0.981341\pi\) |
0.609460 | − | 0.792817i | \(-0.291386\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.14009 | + | 1.25710i | 0.187993 | + | 0.0752609i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.8573 | + | 11.3059i | 0.707349 | + | 0.674456i | 0.955743 | − | 0.294203i | \(-0.0950542\pi\) |
−0.248394 | + | 0.968659i | \(0.579903\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.01697 | + | 15.3650i | −0.417116 | + | 0.913356i | 0.578129 | + | 0.815946i | \(0.303783\pi\) |
−0.995244 | + | 0.0974104i | \(0.968944\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.412160 | + | 1.19086i | −0.0244143 | + | 0.0705404i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −33.9440 | + | 3.24126i | −2.00365 | + | 0.191326i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −28.1490 | − | 22.1366i | −1.65582 | − | 1.30215i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.713870 | − | 14.9860i | 0.0418478 | − | 0.878494i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.13705 | − | 0.627493i | 0.124848 | − | 0.0366586i | −0.218712 | − | 0.975789i | \(-0.570185\pi\) |
0.343559 | + | 0.939131i | \(0.388367\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.38176 | − | 44.3861i | 0.371561 | − | 2.58426i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.44188 | − | 2.49742i | 0.0836666 | − | 0.144915i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −11.1251 | + | 10.6077i | −0.643378 | + | 0.613460i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.5707 | − | 17.6531i | −0.724564 | − | 1.01751i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.500898 | − | 10.5151i | −0.0287758 | − | 0.604079i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.48973 | + | 2.58028i | 0.0853015 | + | 0.147747i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.16990 | + | 21.3106i | 0.295062 | + | 1.21626i | 0.905551 | + | 0.424237i | \(0.139457\pi\) |
−0.610490 | + | 0.792024i | \(0.709027\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.60773 | + | 0.309864i | −0.0914604 | + | 0.0176276i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 22.5944 | + | 26.0753i | 1.28121 | + | 1.47860i | 0.797434 | + | 0.603407i | \(0.206190\pi\) |
0.483778 | + | 0.875191i | \(0.339264\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.0524 | − | 15.4575i | 1.35952 | − | 0.873711i | 0.361248 | − | 0.932470i | \(-0.382351\pi\) |
0.998272 | + | 0.0587592i | \(0.0187144\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 12.0796 | − | 6.22744i | 0.680606 | − | 0.350877i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.28154 | − | 1.59614i | −0.465137 | − | 0.0896479i | −0.0487023 | − | 0.998813i | \(-0.515509\pi\) |
−0.416435 | + | 0.909165i | \(0.636721\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.1149 | − | 11.8865i | 0.846271 | − | 0.665515i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.19374 | − | 1.37765i | 0.0666282 | − | 0.0768931i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.514279 | − | 2.11989i | 0.0286152 | − | 0.117954i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −57.9526 | − | 29.8766i | −3.21463 | − | 1.65726i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.69108 | + | 2.84556i | 0.535918 | + | 0.157360i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −19.7931 | + | 7.92398i | −1.09123 | + | 0.436863i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.89959 | + | 8.37782i | 0.159376 | + | 0.460487i | 0.996211 | − | 0.0869683i | \(-0.0277179\pi\) |
−0.836835 | + | 0.547455i | \(0.815597\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.389812 | − | 0.547415i | 0.0213616 | − | 0.0299981i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 16.8578 | − | 29.9441i | 0.921041 | − | 1.63602i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.81222 | − | 12.3750i | 0.480032 | − | 0.674111i | −0.501555 | − | 0.865126i | \(-0.667238\pi\) |
0.981587 | + | 0.191015i | \(0.0611778\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.88260 | + | 16.9967i | 0.319499 | + | 0.923131i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.05531 | − | 3.62520i | 0.490372 | − | 0.196315i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.9347 | − | 3.21073i | −0.590420 | − | 0.173363i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.1061 | − | 5.72560i | −0.597933 | − | 0.308256i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.01610 | − | 4.18844i | 0.0545474 | − | 0.224847i | −0.938013 | − | 0.346600i | \(-0.887336\pi\) |
0.992561 | + | 0.121752i | \(0.0388514\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.30990 | − | 3.81983i | 0.177175 | − | 0.204471i | −0.660215 | − | 0.751077i | \(-0.729535\pi\) |
0.837390 | + | 0.546606i | \(0.184080\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.05968 | − | 3.19257i | 0.216690 | − | 0.170407i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −12.1180 | − | 2.33555i | −0.644976 | − | 0.124309i | −0.143735 | − | 0.989616i | \(-0.545911\pi\) |
−0.501242 | + | 0.865307i | \(0.667123\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.50235 | + | 0.774513i | −0.0797363 | + | 0.0411069i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −19.7906 | + | 12.7187i | −1.04743 | + | 0.673142i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −14.3866 | − | 16.6031i | −0.759298 | − | 0.876277i | 0.236137 | − | 0.971720i | \(-0.424119\pi\) |
−0.995435 | + | 0.0954432i | \(0.969573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.5682 | + | 3.57872i | −0.977272 | + | 0.188354i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.632748 | + | 2.60822i | 0.0332107 | + | 0.136896i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.26046 | + | 5.64728i | 0.170660 | + | 0.295592i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.677261 | + | 14.2175i | 0.0353527 | + | 0.742145i | 0.945060 | + | 0.326896i | \(0.106003\pi\) |
−0.909708 | + | 0.415249i | \(0.863694\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.10989 | − | 8.58013i | −0.318068 | − | 0.446664i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.0455 | + | 10.5319i | −0.573454 | + | 0.546787i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.9465 | − | 27.6201i | 0.825676 | − | 1.43011i | −0.0757255 | − | 0.997129i | \(-0.524127\pi\) |
0.901402 | − | 0.432984i | \(-0.142539\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 4.55528 | − | 31.6827i | 0.235234 | − | 1.63609i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 33.0426 | − | 9.70218i | 1.70178 | − | 0.499688i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.786153 | + | 16.5034i | −0.0403819 | + | 0.847721i | 0.884286 | + | 0.466946i | \(0.154646\pi\) |
−0.924668 | + | 0.380775i | \(0.875657\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.51937 | + | 6.69971i | 0.436461 | + | 0.343237i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −32.5999 | + | 3.11291i | −1.66578 | + | 0.159062i | −0.884950 | − | 0.465687i | \(-0.845807\pi\) |
−0.780826 | + | 0.624749i | \(0.785201\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.8182 | − | 37.0358i | 0.653277 | − | 1.88752i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.78099 | − | 6.08952i | 0.141366 | − | 0.309548i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 10.4651 | + | 9.97848i | 0.530603 | + | 0.505929i | 0.907344 | − | 0.420390i | \(-0.138107\pi\) |
−0.376740 | + | 0.926319i | \(0.622955\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 20.0800 | + | 8.03882i | 1.01549 | + | 0.406540i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.83123 | − | 6.19952i | −0.142817 | − | 0.312725i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −34.3901 | − | 3.28385i | −1.73035 | − | 0.165229i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.65801 | − | 18.4869i | −0.133402 | − | 0.927830i | −0.941075 | − | 0.338199i | \(-0.890182\pi\) |
0.807673 | − | 0.589631i | \(-0.200727\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.817465 | − | 0.525353i | −0.0409244 | − | 0.0263005i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 23.4162 | 1.16935 | 0.584676 | − | 0.811267i | \(-0.301222\pi\) | ||||
0.584676 | + | 0.811267i | \(0.301222\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 17.4688 | 0.870182 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.53171 | + | 2.26969i | 0.175492 | + | 0.112782i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.275801 | − | 1.91824i | −0.0136709 | − | 0.0950835i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 28.5071 | + | 2.72210i | 1.40959 | + | 0.134599i | 0.771923 | − | 0.635716i | \(-0.219295\pi\) |
0.637663 | + | 0.770315i | \(0.279901\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.325017 | − | 0.711688i | −0.0160319 | − | 0.0351050i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 32.1015 | + | 12.8515i | 1.57961 | + | 0.632380i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −30.9308 | − | 29.4924i | −1.51833 | − | 1.44773i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −7.05850 | + | 15.4560i | −0.345656 | + | 0.756882i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.04337 | + | 3.01461i | −0.0509718 | + | 0.147273i | −0.967613 | − | 0.252437i | \(-0.918768\pi\) |
0.916642 | + | 0.399710i | \(0.130889\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −24.7668 | + | 2.36494i | −1.20706 | + | 0.115260i | −0.679123 | − | 0.734024i | \(-0.737640\pi\) |
−0.527936 | + | 0.849284i | \(0.677034\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.17695 | − | 4.07120i | −0.251712 | − | 0.197949i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −4.36530 | + | 91.6389i | −0.211748 | + | 4.44514i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.20441 | + | 0.647274i | −0.106679 | + | 0.0313238i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.11958 | − | 14.7420i | 0.102334 | − | 0.711752i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.3405 | + | 21.3744i | −0.594422 | + | 1.02957i | 0.399206 | + | 0.916861i | \(0.369286\pi\) |
−0.993628 | + | 0.112708i | \(0.964047\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.9458 | + | 15.2043i | −0.766305 | + | 0.730670i | −0.968592 | − | 0.248656i | \(-0.920011\pi\) |
0.202287 | + | 0.979326i | \(0.435163\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 16.2376 | + | 22.8025i | 0.778531 | + | 1.09329i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.0425104 | + | 0.892404i | 0.00203355 | + | 0.0426895i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.7672 | − | 27.3096i | −0.752526 | − | 1.30341i | −0.946595 | − | 0.322426i | \(-0.895502\pi\) |
0.194068 | − | 0.980988i | \(-0.437832\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.820342 | + | 3.38150i | 0.0390639 | + | 0.161024i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.06177 | + | 1.16831i | −0.288003 | + | 0.0555081i | −0.331207 | − | 0.943558i | \(-0.607456\pi\) |
0.0432033 | + | 0.999066i | \(0.486244\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 19.5473 | + | 22.5588i | 0.926631 | + | 1.06939i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.8425 | − | 7.61074i | 0.560133 | − | 0.359976i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.6575 | + | 8.58753i | −0.786115 | + | 0.405271i | −0.804045 | − | 0.594569i | \(-0.797323\pi\) |
0.0179295 | + | 0.999839i | \(0.494293\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −29.8265 | − | 5.74859i | −1.40448 | − | 0.270691i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 12.3398 | − | 9.70409i | 0.579772 | − | 0.455938i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 45.9640 | − | 53.0453i | 2.15483 | − | 2.48680i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.95338 | − | 8.05192i | 0.0913751 | − | 0.376653i | −0.907702 | − | 0.419616i | \(-0.862165\pi\) |
0.999077 | + | 0.0429631i | \(0.0136798\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.45924 | − | 3.32997i | −0.301492 | − | 0.155430i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −27.7495 | − | 8.14800i | −1.29242 | − | 0.379490i | −0.437957 | − | 0.898996i | \(-0.644298\pi\) |
−0.854467 | + | 0.519506i | \(0.826116\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.6246 | − | 9.85818i | 1.14440 | − | 0.458149i | 0.279526 | − | 0.960138i | \(-0.409823\pi\) |
0.864874 | + | 0.501989i | \(0.167398\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.64428 | + | 13.4188i | 0.215373 | + | 0.622280i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.86215 | + | 6.82793i | −0.224993 | + | 0.315959i | −0.911607 | − | 0.411064i | \(-0.865157\pi\) |
0.686613 | + | 0.727023i | \(0.259097\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.3746 | + | 18.0764i | 0.894635 | + | 0.834693i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.3688 | − | 14.5609i | 0.477767 | − | 0.670930i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −6.31416 | − | 18.2436i | −0.290326 | − | 0.838841i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.51805 | + | 1.40842i | −0.161419 | + | 0.0646225i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.52352 | − | 1.32822i | −0.207118 | − | 0.0608152i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.5449 | + | 5.43629i | 0.481810 | + | 0.248390i | 0.681980 | − | 0.731371i | \(-0.261119\pi\) |
−0.200170 | + | 0.979761i | \(0.564149\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.818263 | − | 3.37293i | 0.0373096 | − | 0.153792i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.30963 | − | 7.28170i | 0.287098 | − | 0.331329i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 49.5093 | − | 38.9345i | 2.24810 | − | 1.76793i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.8119 | + | 6.90217i | 1.62279 | + | 0.312767i | 0.917979 | − | 0.396628i | \(-0.129820\pi\) |
0.704811 | + | 0.709395i | \(0.251032\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.81544 | − | 5.06021i | 0.443869 | − | 0.228831i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.6106 | + | 8.74698i | −0.614237 | + | 0.394746i | −0.810444 | − | 0.585817i | \(-0.800774\pi\) |
0.196207 | + | 0.980562i | \(0.437138\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −31.7323 | − | 36.6210i | −1.42915 | − | 1.64933i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 11.8877 | − | 2.29117i | 0.534313 | − | 0.102980i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.307278 | − | 1.26662i | −0.0137833 | − | 0.0568155i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.2826 | + | 28.2023i | 0.728911 | + | 1.26251i | 0.957344 | + | 0.288951i | \(0.0933064\pi\) |
−0.228433 | + | 0.973560i | \(0.573360\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.224738 | + | 4.71783i | 0.0100405 | + | 0.210777i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.7335 | + | 33.3290i | 1.05822 | + | 1.48607i | 0.862929 | + | 0.505324i | \(0.168627\pi\) |
0.195295 | + | 0.980744i | \(0.437433\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 31.9848 | − | 30.4974i | 1.42331 | − | 1.35712i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.83674 | − | 11.8416i | 0.303630 | − | 0.525903i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.38766 | − | 9.65137i | 0.0615068 | − | 0.427789i | −0.935681 | − | 0.352847i | \(-0.885214\pi\) |
0.997188 | − | 0.0749424i | \(-0.0238773\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.82464 | + | 1.41664i | −0.213430 | + | 0.0626686i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0.0142828 | − | 0.299832i | 0.000630599 | − | 0.0132379i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.40309 | − | 4.24903i | −0.238088 | − | 0.187235i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.9065 | + | 1.80536i | −0.831509 | + | 0.0793994i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −4.71871 | + | 13.6338i | −0.207129 | + | 0.598459i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.17214 | + | 9.13572i | −0.182785 | + | 0.400243i | −0.978738 | − | 0.205115i | \(-0.934243\pi\) |
0.795953 | + | 0.605359i | \(0.206970\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.39580 | − | 6.09838i | −0.279669 | − | 0.266664i | 0.537241 | − | 0.843429i | \(-0.319466\pi\) |
−0.816910 | + | 0.576765i | \(0.804315\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 37.9406 | + | 15.1891i | 1.65586 | + | 0.662907i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −10.2109 | − | 22.3588i | −0.444795 | − | 0.973965i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.0773 | + | 1.34422i | 0.612058 | + | 0.0584445i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.52014 | + | 10.5728i | 0.0659684 | + | 0.458820i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −45.7645 | − | 29.4111i | −1.98228 | − | 1.27394i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.65278 | 0.330859 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −13.4252 | −0.579338 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.44139 | + | 5.42495i | 0.363597 | + | 0.233669i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.79045 | − | 12.4529i | −0.0769776 | − | 0.535391i | −0.991424 | − | 0.130684i | \(-0.958283\pi\) |
0.914447 | − | 0.404707i | \(-0.132626\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −22.0651 | − | 2.10696i | −0.946903 | − | 0.0904183i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 17.6145 | + | 38.5704i | 0.754522 | + | 1.65217i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.4967 | − | 10.6077i | −1.13292 | − | 0.453551i | −0.271999 | − | 0.962297i | \(-0.587685\pi\) |
−0.860916 | + | 0.508746i | \(0.830109\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.513639 | − | 0.489754i | −0.0219216 | − | 0.0209022i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.831467 | − | 1.82066i | 0.0354217 | − | 0.0775627i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.71277 | − | 25.1739i | 0.370505 | − | 1.07050i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.80848 | − | 0.268177i | 0.119213 | − | 0.0113835i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −20.3421 | − | 15.9972i | −0.861924 | − | 0.677825i | 0.0860090 | − | 0.996294i | \(-0.472589\pi\) |
−0.947933 | + | 0.318470i | \(0.896831\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.64513 | − | 34.5354i | 0.0695814 | − | 1.46069i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −20.1077 | + | 5.90416i | −0.848948 | + | 0.249274i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.92814 | + | 13.4105i | −0.0812612 | + | 0.565184i | 0.907994 | + | 0.418984i | \(0.137614\pi\) |
−0.989255 | + | 0.146201i | \(0.953296\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −37.7536 | + | 65.3912i | −1.58831 | + | 2.75103i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.34288 | + | 2.23394i | −0.0983919 | + | 0.0938165i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 21.5140 | + | 30.2122i | 0.901914 | + | 1.26656i | 0.963295 | + | 0.268446i | \(0.0865102\pi\) |
−0.0613808 | + | 0.998114i | \(0.519550\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.26165 | + | 26.4853i | 0.0527984 | + | 1.10838i | 0.857430 | + | 0.514601i | \(0.172060\pi\) |
−0.804631 | + | 0.593775i | \(0.797637\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.42509 | + | 4.20038i | 0.101310 | + | 0.175474i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −8.85856 | − | 36.5155i | −0.369428 | − | 1.52280i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −39.0541 | + | 7.52705i | −1.62584 | + | 0.313355i | −0.919072 | − | 0.394089i | \(-0.871060\pi\) |
−0.706769 | + | 0.707444i | \(0.749848\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −10.5431 | − | 12.1674i | −0.438157 | − | 0.505660i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 27.7238 | − | 17.8170i | 1.15018 | − | 0.739174i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.0842 | + | 6.22981i | −0.500474 | + | 0.258013i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 21.2901 | + | 4.10333i | 0.880237 | + | 0.169652i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 19.7922 | − | 15.5648i | 0.816912 | − | 0.642427i | −0.119694 | − | 0.992811i | \(-0.538191\pi\) |
0.936606 | + | 0.350384i | \(0.113949\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.664878 | − | 0.767310i | 0.0273958 | − | 0.0316165i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.56966 | + | 14.7143i | −0.146836 | + | 0.605267i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.1461 | − | 7.80837i | −0.621977 | − | 0.320651i | 0.118275 | − | 0.992981i | \(-0.462263\pi\) |
−0.740252 | + | 0.672330i | \(0.765294\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −94.7614 | − | 27.8245i | −3.88484 | − | 1.14069i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.54517 | − | 1.81961i | 0.186021 | − | 0.0744717i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −9.32475 | − | 26.9421i | −0.380999 | − | 1.10082i | −0.958662 | − | 0.284549i | \(-0.908156\pi\) |
0.577662 | − | 0.816276i | \(-0.303965\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.6993 | − | 24.8552i | 0.721971 | − | 1.01387i | −0.276630 | − | 0.960977i | \(-0.589218\pi\) |
0.998600 | − | 0.0528892i | \(-0.0168430\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.84337 | + | 7.97509i | −0.0750676 | + | 0.324771i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −6.53568 | + | 9.17808i | −0.265713 | + | 0.373142i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.31515 | + | 26.9144i | 0.378090 | + | 1.09242i | 0.960201 | + | 0.279310i | \(0.0901058\pi\) |
−0.582111 | + | 0.813110i | \(0.697773\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.0394 | + | 8.02256i | −0.812037 | + | 0.325091i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.6365 | − | 9.58295i | −1.32033 | − | 0.387685i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.42185 | + | 3.31069i | 0.259376 | + | 0.133718i | 0.583011 | − | 0.812465i | \(-0.301875\pi\) |
−0.323635 | + | 0.946182i | \(0.604905\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10.4253 | − | 42.9736i | 0.420388 | − | 1.73286i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.3521 | + | 18.8713i | −0.658309 | + | 0.759729i | −0.982500 | − | 0.186262i | \(-0.940363\pi\) |
0.324191 | + | 0.945992i | \(0.394908\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −1.46817 | + | 1.15459i | −0.0590109 | + | 0.0464067i | −0.647229 | − | 0.762296i | \(-0.724072\pi\) |
0.588218 | + | 0.808702i | \(0.299830\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.92256 | + | 0.563277i | 0.117278 | + | 0.0226035i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −20.4585 | + | 10.5471i | −0.819652 | + | 0.422560i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 59.9428 | − | 38.5229i | 2.39771 | − | 1.54091i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.566865 | − | 0.654197i | −0.0226384 | − | 0.0261261i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.79540 | + | 0.924238i | −0.191205 | + | 0.0368518i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.528557 | − | 2.17874i | −0.0210415 | − | 0.0867343i | 0.960323 | − | 0.278891i | \(-0.0899669\pi\) |
−0.981364 | + | 0.192157i | \(0.938452\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −12.1825 | − | 21.1006i | −0.484209 | − | 0.838675i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.16499 | + | 45.4487i | 0.0859149 | + | 1.80358i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.4241 | + | 14.6386i | 0.413017 | + | 0.580001i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0.291387 | − | 0.277837i | 0.0115271 | − | 0.0109911i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.27413 | + | 9.13506i | −0.208316 | + | 0.360813i | −0.951184 | − | 0.308624i | \(-0.900131\pi\) |
0.742869 | + | 0.669437i | \(0.233465\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.72164 | − | 32.8397i | 0.186203 | − | 1.29507i | −0.655526 | − | 0.755173i | \(-0.727553\pi\) |
0.841729 | − | 0.539900i | \(-0.181538\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 26.9660 | − | 7.91793i | 1.06179 | − | 0.311768i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.482874 | + | 10.1368i | −0.0189837 | + | 0.398517i | 0.969299 | + | 0.245884i | \(0.0790783\pi\) |
−0.988283 | + | 0.152633i | \(0.951225\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 24.2128 | + | 19.0412i | 0.950436 | + | 0.747431i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.8999 | + | 1.04082i | −0.427202 | + | 0.0407928i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.48144 | + | 15.8376i | −0.214505 | + | 0.619772i | 0.785494 | + | 0.618869i | \(0.212409\pi\) |
−1.00000 | 0.000903348i | \(0.999712\pi\) | ||||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.8859 | − | 26.0265i | 0.464421 | − | 1.01694i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.12417 | − | 1.07189i | −0.0438579 | − | 0.0418184i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 13.5829 | + | 5.43776i | 0.529113 | + | 0.211825i | 0.620809 | − | 0.783962i | \(-0.286804\pi\) |
−0.0916955 | + | 0.995787i | \(0.529229\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.04874 | + | 17.6243i | 0.313060 | + | 0.685505i | 0.999116 | − | 0.0420437i | \(-0.0133869\pi\) |
−0.686056 | + | 0.727549i | \(0.740660\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −37.3619 | − | 3.56763i | −1.45102 | − | 0.138555i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.580564 | − | 4.03791i | −0.0225133 | − | 0.156583i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.6956 | + | 10.7296i | 0.646457 | + | 0.415453i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.93339 | −0.113411 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.04663 | −0.0790093 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.8845 | + | 8.28037i | 0.496661 | + | 0.319185i | 0.764880 | − | 0.644173i | \(-0.222798\pi\) |
−0.268218 | + | 0.963358i | \(0.586435\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 1.79664 | + | 12.4959i | 0.0691529 | + | 0.480969i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.6284 | − | 1.58782i | −0.639081 | − | 0.0610248i | −0.229515 | − | 0.973305i | \(-0.573714\pi\) |
−0.409566 | + | 0.912280i | \(0.634320\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 20.1758 | + | 44.1789i | 0.774277 | + | 1.69543i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −20.9033 | − | 8.36842i | −0.801016 | − | 0.320678i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −21.0060 | − | 20.0292i | −0.803771 | − | 0.766394i | 0.172021 | − | 0.985093i | \(-0.444970\pi\) |
−0.975792 | + | 0.218699i | \(0.929819\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.36447 | − | 2.98777i | 0.0521337 | − | 0.114157i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.39736 | + | 6.92670i | −0.0914648 | + | 0.264270i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −24.2384 | + | 2.31448i | −0.923408 | + | 0.0881748i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.8597 | + | 21.1227i | 1.02179 | + | 0.803547i | 0.980682 | − | 0.195608i | \(-0.0626680\pi\) |
0.0411106 | + | 0.999155i | \(0.486910\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.444196 | + | 9.32481i | −0.0168736 | + | 0.354220i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −68.4431 | + | 20.0967i | −2.59620 | + | 0.762312i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.8936 | + | 75.7669i | −0.412626 | + | 2.86988i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.97308 | − | 5.14953i | 0.112452 | − | 0.194773i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −3.97752 | + | 3.79256i | −0.150229 | + | 0.143243i | −0.761467 | − | 0.648204i | \(-0.775520\pi\) |
0.611238 | + | 0.791447i | \(0.290672\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.117011 | − | 0.164319i | −0.00441315 | − | 0.00619740i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.31559 | − | 27.6177i | −0.0495481 | − | 1.04014i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.0392 | + | 29.5128i | 0.640825 | + | 1.10994i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.19310 | + | 29.6504i | 0.270143 | + | 1.11354i | 0.931578 | + | 0.363541i | \(0.118432\pi\) |
−0.661436 | + | 0.750002i | \(0.730053\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.08028 | − | 1.55735i | 0.303034 | − | 0.0584050i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 6.59257 | + | 7.60823i | 0.246894 | + | 0.284931i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 52.5999 | − | 33.8039i | 1.96712 | − | 1.26419i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 16.4540 | − | 8.48264i | 0.614487 | − | 0.316790i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6.83093 | − | 1.31655i | −0.254751 | − | 0.0490992i | 0.0602769 | − | 0.998182i | \(-0.480802\pi\) |
−0.315028 | + | 0.949083i | \(0.602014\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.16636 | − | 3.27646i | 0.155163 | − | 0.122022i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.62581 | − | 9.95471i | 0.320797 | − | 0.370220i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −19.8460 | + | 81.8062i | −0.737061 | + | 3.03821i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.2929 | − | 7.88405i | −0.567183 | − | 0.292403i | 0.150685 | − | 0.988582i | \(-0.451852\pi\) |
−0.717869 | + | 0.696178i | \(0.754882\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.959493 | − | 0.281733i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −45.1646 | + | 18.0812i | −1.67047 | + | 0.668756i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.29125 | − | 15.2881i | −0.195437 | − | 0.564677i | 0.804119 | − | 0.594468i | \(-0.202637\pi\) |
−0.999556 | + | 0.0297905i | \(0.990516\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.47335 | + | 11.8991i | −0.312544 | + | 0.438907i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.0234 | + | 20.3130i | 0.442887 | + | 0.748239i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.8231 | + | 16.6032i | −0.434920 | + | 0.610760i | −0.972627 | − | 0.232372i | \(-0.925351\pi\) |
0.537707 | + | 0.843132i | \(0.319291\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.507047 | − | 1.46502i | −0.0186268 | − | 0.0538187i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −19.0017 | + | 7.60715i | −0.697106 | + | 0.279079i | −0.693026 | − | 0.720913i | \(-0.743723\pi\) |
−0.00407985 | + | 0.999992i | \(0.501299\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 56.7045 | + | 16.6499i | 2.07749 | + | 0.610007i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.04848 | + | 4.66481i | 0.331066 | + | 0.170677i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.39124 | + | 5.73477i | −0.0508348 | + | 0.209544i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.67462 | − | 3.08668i | 0.0975983 | − | 0.112634i | −0.704849 | − | 0.709357i | \(-0.748985\pi\) |
0.802447 | + | 0.596723i | \(0.203531\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 22.2220 | − | 17.4756i | 0.809816 | − | 0.636847i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 64.7131 | + | 12.4724i | 2.35515 | + | 0.453918i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.21730 | + | 0.627562i | −0.0442436 | + | 0.0228091i | −0.480206 | − | 0.877156i | \(-0.659438\pi\) |
0.435963 | + | 0.899965i | \(0.356408\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.22056 | − | 4.64037i | 0.262090 | − | 0.168435i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 23.5188 | + | 27.1421i | 0.852554 | + | 0.983900i | 0.999987 | − | 0.00517231i | \(-0.00164641\pi\) |
−0.147433 | + | 0.989072i | \(0.547101\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −32.1057 | + | 6.18787i | −1.16230 | + | 0.224016i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −7.19260 | − | 29.6483i | −0.260049 | − | 1.07194i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 27.5831 | + | 47.7753i | 0.995967 | + | 1.72507i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.07546 | − | 22.5767i | −0.0387821 | − | 0.814137i | −0.931549 | − | 0.363617i | \(-0.881542\pi\) |
0.892766 | − | 0.450520i | \(-0.148761\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.16949 | + | 5.85524i | 0.150161 | + | 0.210871i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −11.1559 | + | 10.6371i | −0.401250 | + | 0.382591i | −0.863660 | − | 0.504075i | \(-0.831833\pi\) |
0.462410 | + | 0.886666i | \(0.346985\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.3503 | + | 36.9798i | −0.766926 | + | 1.32836i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.309604 | + | 2.15335i | −0.0111070 | + | 0.0772509i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.03371 | + | 0.890779i | −0.108694 | + | 0.0319155i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0552451 | − | 1.15974i | 0.00197682 | − | 0.0414986i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.24137 | − | 4.12186i | −0.187311 | − | 0.147303i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 74.7038 | − | 7.13334i | 2.66629 | − | 0.254600i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 6.28159 | − | 18.1495i | 0.223914 | − | 0.646958i | −0.775955 | − | 0.630789i | \(-0.782732\pi\) |
0.999869 | − | 0.0161699i | \(-0.00514726\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −11.8292 | + | 25.9023i | −0.421131 | + | 0.922147i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −42.1388 | − | 40.1793i | −1.49828 | − | 1.42861i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.40282 | − | 1.36228i | −0.120838 | − | 0.0483761i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.22194 | − | 18.0035i | −0.291602 | − | 0.638519i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −16.0673 | − | 1.53424i | −0.569133 | − | 0.0543456i | −0.193477 | − | 0.981105i | \(-0.561976\pi\) |
−0.375656 | + | 0.926759i | \(0.622582\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.81135 | + | 47.3740i | 0.240968 | + | 1.67597i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.98146 | − | 3.84405i | −0.211345 | − | 0.135823i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −4.47932 | −0.158072 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 40.4495 | 1.42566 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.25295 | − | 1.44788i | −0.0793074 | − | 0.0509678i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −4.15037 | − | 28.8664i | −0.145919 | − | 1.01489i | −0.922810 | − | 0.385255i | \(-0.874114\pi\) |
0.776891 | − | 0.629635i | \(-0.216796\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 25.8701 | + | 2.47029i | 0.908421 | + | 0.0867437i | 0.538795 | − | 0.842437i | \(-0.318880\pi\) |
0.369626 | + | 0.929181i | \(0.379486\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −10.2072 | − | 22.3506i | −0.357981 | − | 0.783870i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 43.0394 | + | 17.2304i | 1.50760 | + | 0.603553i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.45434 | − | 1.38671i | −0.0508810 | − | 0.0485149i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.94535 | + | 15.2082i | −0.242690 | + | 0.531417i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.08363 | − | 6.02027i | 0.0727193 | − | 0.210109i | −0.902784 | − | 0.430095i | \(-0.858480\pi\) |
0.975503 | + | 0.219986i | \(0.0706013\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.31269 | + | 0.793766i | −0.289762 | + | 0.0276689i | −0.238925 | − | 0.971038i | \(-0.576795\pi\) |
−0.0508372 | + | 0.998707i | \(0.516189\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 28.6170 | + | 22.5047i | 0.996316 | + | 0.783512i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 2.36735 | − | 49.6967i | 0.0823207 | − | 1.72812i | −0.459971 | − | 0.887934i | \(-0.652140\pi\) |
0.542292 | − | 0.840190i | \(-0.317557\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.07216 | − | 2.37020i | 0.280358 | − | 0.0823205i | −0.138531 | − | 0.990358i | \(-0.544238\pi\) |
0.418889 | + | 0.908038i | \(0.362420\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.21696 | + | 15.4193i | −0.0769056 | + | 0.534891i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 12.6432 | − | 21.8987i | 0.438061 | − | 0.758744i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.3506 | + | 13.6833i | −0.496624 | + | 0.473530i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.96197 | − | 2.75521i | −0.0678157 | − | 0.0952339i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.59589 | − | 33.5018i | −0.0550962 | − | 1.15661i | −0.841980 | − | 0.539509i | \(-0.818610\pi\) |
0.786884 | − | 0.617102i | \(-0.211693\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.73080 | − | 13.3901i | −0.266579 | − | 0.461729i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.86257 | − | 15.9217i | −0.133034 | − | 0.548373i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 56.3659 | − | 10.8636i | 1.93905 | − | 0.373721i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.68962 | − | 6.56617i | −0.195498 | − | 0.225616i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 14.2100 | − | 9.13222i | 0.487686 | − | 0.313417i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.77783 | − | 0.916534i | 0.0609431 | − | 0.0314184i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.93757 | + | 1.14437i | 0.203299 | + | 0.0391826i | 0.289884 | − | 0.957062i | \(-0.406383\pi\) |
−0.0865852 | + | 0.996244i | \(0.527595\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.990558 | − | 0.778983i | 0.0338764 | − | 0.0266407i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 9.48042 | − | 10.9410i | 0.323845 | − | 0.373737i | −0.570360 | − | 0.821395i | \(-0.693196\pi\) |
0.894205 | + | 0.447658i | \(0.147742\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.13117 | + | 37.6392i | −0.311552 | + | 1.28423i | 0.573679 | + | 0.819080i | \(0.305516\pi\) |
−0.885230 | + | 0.465153i | \(0.845999\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 30.3079 | + | 15.6248i | 1.03289 | + | 0.532492i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 22.9710 | + | 6.74491i | 0.781944 | + | 0.229599i | 0.648254 | − | 0.761424i | \(-0.275499\pi\) |
0.133689 | + | 0.991023i | \(0.457318\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −56.2294 | + | 22.5109i | −1.91186 | + | 0.765392i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 11.7125 | + | 33.8410i | 0.397777 | + | 1.14930i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.7650 | − | 19.3303i | 0.466947 | − | 0.655735i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.46984 | + | 41.7764i | 0.219222 | + | 1.41554i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.70258 | + | 12.2211i | −0.294538 | + | 0.413620i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 33.8903 | + | 97.9195i | 1.14570 | + | 3.31028i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.7958 | − | 4.72233i | 0.398316 | − | 0.159462i | −0.163852 | − | 0.986485i | \(-0.552392\pi\) |
0.562168 | + | 0.827023i | \(0.309968\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −2.13705 | − | 0.627493i | −0.0720808 | − | 0.0211648i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −33.9986 | − | 17.5275i | −1.14544 | − | 0.590517i | −0.222302 | − | 0.974978i | \(-0.571357\pi\) |
−0.923141 | + | 0.384461i | \(0.874387\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.0358 | − | 41.3681i | 0.337731 | − | 1.39215i | −0.509293 | − | 0.860593i | \(-0.670093\pi\) |
0.847024 | − | 0.531554i | \(-0.178392\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −29.3656 | + | 33.8897i | −0.987115 | + | 1.13919i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 6.11688 | − | 4.81037i | 0.205385 | − | 0.161516i | −0.510169 | − | 0.860074i | \(-0.670417\pi\) |
0.715553 | + | 0.698558i | \(0.246175\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.4515 | − | 6.63998i | −1.15547 | − | 0.222698i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.56320 | + | 1.32142i | −0.0858703 | + | 0.0442692i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.66311 | + | 1.06881i | −0.0556537 | + | 0.0357665i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −36.9085 | − | 42.5946i | −1.23371 | − | 1.42378i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 15.0940 | − | 2.90912i | 0.503972 | − | 0.0971327i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −5.31720 | − | 21.9178i | −0.177339 | − | 0.731000i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 17.1303 | + | 29.6705i | 0.570693 | + | 0.988469i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.03117 | + | 21.6470i | 0.0343153 | + | 0.720366i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −53.9765 | − | 75.7994i | −1.79424 | − | 2.51966i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −16.0125 | + | 15.2678i | −0.531685 | + | 0.506960i | −0.907681 | − | 0.419661i | \(-0.862149\pi\) |
0.375996 | + | 0.926621i | \(0.377301\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.26353 | + | 9.11670i | −0.174580 | + | 0.302382i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −5.41651 | + | 37.6727i | −0.179457 | + | 1.24815i | 0.678566 | + | 0.734539i | \(0.262602\pi\) |
−0.858023 | + | 0.513611i | \(0.828307\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28.1680 | − | 8.27088i | 0.932225 | − | 0.273726i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.141768 | − | 2.97608i | 0.00468671 | − | 0.0983862i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 17.3427 | + | 13.6384i | 0.572706 | + | 0.450381i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.1677 | − | 0.970897i | 0.335401 | − | 0.0320269i | 0.0740031 | − | 0.997258i | \(-0.476423\pi\) |
0.261398 | + | 0.965231i | \(0.415816\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 7.17219 | − | 20.7227i | 0.236332 | − | 0.682836i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.863800 | − | 1.89146i | 0.0284323 | − | 0.0622581i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.14010 | + | 5.85458i | 0.201885 | + | 0.192497i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 1.52003 | + | 0.608529i | 0.0499244 | + | 0.0199867i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 4.64875 | + | 10.1794i | 0.152521 | + | 0.333974i | 0.970434 | − | 0.241368i | \(-0.0775962\pi\) |
−0.817913 | + | 0.575342i | \(0.804869\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.03974 | + | 0.0992835i | 0.0340762 | + | 0.00325388i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.91024 | − | 34.1514i | −0.160754 | − | 1.11807i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −74.0125 | − | 47.5650i | −2.42047 | − | 1.55554i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −48.1384 | −1.57261 | −0.786307 | − | 0.617837i | \(-0.788009\pi\) | ||||
−0.786307 | + | 0.617837i | \(0.788009\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −28.5911 | −0.933035 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −22.3044 | − | 14.3342i | −0.727104 | − | 0.467281i | 0.123997 | − | 0.992283i | \(-0.460429\pi\) |
−0.851102 | + | 0.525001i | \(0.824065\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.46165 | − | 31.0315i | −0.145291 | − | 1.01052i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −13.5288 | − | 1.29184i | −0.440091 | − | 0.0420236i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.33763 | + | 9.49808i | 0.140954 | + | 0.308646i | 0.966923 | − | 0.255070i | \(-0.0820985\pi\) |
−0.825969 | + | 0.563716i | \(0.809371\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.44751 | − | 2.98153i | −0.241756 | − | 0.0967847i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.10394 | + | 5.82009i | 0.197934 | + | 0.188729i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.24789 | − | 4.92220i | 0.0728164 | − | 0.159446i | −0.869723 | − | 0.493539i | \(-0.835703\pi\) |
0.942540 | + | 0.334094i | \(0.108430\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.65969 | + | 19.2419i | −0.215502 | + | 0.622653i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −19.1418 | + | 1.82782i | −0.618765 | + | 0.0590849i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1.99089 | + | 1.56566i | 0.0642893 | + | 0.0505577i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.930678 | + | 19.5373i | −0.0300219 | + | 0.630237i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.74906 | + | 0.513569i | −0.0563625 | + | 0.0165495i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.61894 | − | 66.9012i | 0.309645 | − | 2.15363i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.2698 | + | 31.6442i | −0.587517 | + | 1.01761i | 0.407039 | + | 0.913411i | \(0.366561\pi\) |
−0.994556 | + | 0.104199i | \(0.966772\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −1.57874 | + | 1.50532i | −0.0507163 | + | 0.0483579i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.24332 | + | 5.95892i | 0.136175 | + | 0.191231i | 0.877032 | − | 0.480432i | \(-0.159520\pi\) |
−0.740857 | + | 0.671662i | \(0.765581\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.61724 | − | 54.9427i | −0.0839050 | − | 1.76138i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 32.6003 | + | 56.4654i | 1.04405 | + | 1.80834i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.19397 | − | 17.2878i | −0.134177 | − | 0.553085i | −0.998723 | − | 0.0505308i | \(-0.983909\pi\) |
0.864545 | − | 0.502555i | \(-0.167606\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −20.1336 | + | 3.88043i | −0.643472 | + | 0.124019i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.61423 | − | 7.63323i | −0.211176 | − | 0.243710i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −32.2674 | + | 20.7370i | −1.02917 | + | 0.661407i | −0.942285 | − | 0.334811i | \(-0.891327\pi\) |
−0.0868842 | + | 0.996218i | \(0.527691\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −56.4986 | + | 29.1270i | −1.80019 | + | 0.928065i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 20.9351 | + | 4.03490i | 0.666371 | + | 0.128432i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 15.6622 | − | 12.3169i | 0.498029 | − | 0.391654i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.31278 | + | 10.7475i | −0.295830 | + | 0.341406i | −0.884134 | − | 0.467234i | \(-0.845251\pi\) |
0.588303 | + | 0.808640i | \(0.299796\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 2.09010 | − | 8.61551i | 0.0663273 | − | 0.273405i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 18.2687 | + | 9.41819i | 0.579158 | + | 0.298577i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 13.7441 | + | 4.03564i | 0.435281 | + | 0.127810i | 0.492030 | − | 0.870578i | \(-0.336255\pi\) |
−0.0567484 | + | 0.998389i | \(0.518073\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.623886 | + | 0.249766i | −0.0197389 | + | 0.00790225i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 804.2.y.b.49.1 | ✓ | 120 | |
67.26 | even | 33 | inner | 804.2.y.b.361.1 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.y.b.49.1 | ✓ | 120 | 1.1 | even | 1 | trivial | |
804.2.y.b.361.1 | yes | 120 | 67.26 | even | 33 | inner |