Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1890,2,Mod(89,1890)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1890, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1890.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1890 = 2 \cdot 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1890.r (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.0917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 630) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1529.22 | ||
Character | \(\chi\) | \(=\) | 1890.1529 |
Dual form | 1890.2.r.b.89.22 |
$q$-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 \(\left(\mathbb{Z}/1890\mathbb{Z}\right)^\times\).
\(n\) | \(757\) | \(1081\) | \(1541\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2.05173 | + | 0.889037i | 0.917563 | + | 0.397590i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.970835 | − | 2.46119i | 0.366941 | − | 0.930244i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.79580 | − | 1.33234i | 0.567881 | − | 0.421321i | ||||
\(11\) | − | 2.28847i | − | 0.689998i | −0.938603 | − | 0.344999i | \(-0.887879\pi\) | ||
0.938603 | − | 0.344999i | \(-0.112121\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.02055 | − | 3.49969i | 0.560399 | − | 0.970640i | −0.437062 | − | 0.899431i | \(-0.643981\pi\) |
0.997461 | − | 0.0712086i | \(-0.0226856\pi\) | |||||||
\(14\) | −1.64604 | − | 2.07137i | −0.439923 | − | 0.553596i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −5.58838 | − | 3.22645i | −1.35538 | − | 0.782529i | −0.366383 | − | 0.930464i | \(-0.619404\pi\) |
−0.988997 | + | 0.147935i | \(0.952737\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.177623 | + | 0.102551i | −0.0407496 | + | 0.0235268i | −0.520236 | − | 0.854022i | \(-0.674156\pi\) |
0.479487 | + | 0.877549i | \(0.340823\pi\) | |||||||
\(20\) | −0.255938 | − | 2.22137i | −0.0572295 | − | 0.496714i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.98187 | − | 1.14423i | −0.422536 | − | 0.243951i | ||||
\(23\) | −2.00850 | −0.418800 | −0.209400 | − | 0.977830i | \(-0.567151\pi\) | ||||
−0.209400 | + | 0.977830i | \(0.567151\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.41923 | + | 3.64814i | 0.683845 | + | 0.729627i | ||||
\(26\) | −2.02055 | − | 3.49969i | −0.396262 | − | 0.686346i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.61687 | + | 0.389830i | −0.494543 | + | 0.0736709i | ||||
\(29\) | −2.95397 | + | 1.70547i | −0.548538 | + | 0.316698i | −0.748532 | − | 0.663099i | \(-0.769241\pi\) |
0.199994 | + | 0.979797i | \(0.435908\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.844461 | + | 0.487550i | −0.151670 | + | 0.0875665i | −0.573914 | − | 0.818915i | \(-0.694576\pi\) |
0.422244 | + | 0.906482i | \(0.361242\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.58838 | + | 3.22645i | −0.958399 | + | 0.553332i | ||||
\(35\) | 4.17999 | − | 4.18661i | 0.706547 | − | 0.707666i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.40520 | − | 4.27539i | 1.21741 | − | 0.702870i | 0.253045 | − | 0.967455i | \(-0.418568\pi\) |
0.964363 | + | 0.264584i | \(0.0852348\pi\) | |||||||
\(38\) | 0.205102i | 0.0332719i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.05173 | − | 0.889037i | −0.324408 | − | 0.140569i | ||||
\(41\) | −1.15662 | + | 2.00333i | −0.180634 | + | 0.312867i | −0.942097 | − | 0.335342i | \(-0.891148\pi\) |
0.761463 | + | 0.648209i | \(0.224482\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.12736 | + | 1.22823i | −0.324419 | + | 0.187303i | −0.653360 | − | 0.757047i | \(-0.726641\pi\) |
0.328942 | + | 0.944350i | \(0.393308\pi\) | |||||||
\(44\) | −1.98187 | + | 1.14423i | −0.298778 | + | 0.172500i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.00425 | + | 1.73941i | −0.148068 | + | 0.256462i | ||||
\(47\) | −4.13773 | − | 2.38892i | −0.603550 | − | 0.348460i | 0.166887 | − | 0.985976i | \(-0.446629\pi\) |
−0.770437 | + | 0.637516i | \(0.779962\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.11496 | − | 4.77883i | −0.730708 | − | 0.682690i | ||||
\(50\) | 4.86899 | − | 1.13707i | 0.688579 | − | 0.160806i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.04110 | −0.560399 | ||||||||
\(53\) | 2.35928 | − | 4.08640i | 0.324072 | − | 0.561310i | −0.657252 | − | 0.753671i | \(-0.728281\pi\) |
0.981324 | + | 0.192361i | \(0.0616145\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.03453 | − | 4.69532i | 0.274336 | − | 0.633117i | ||||
\(56\) | −0.970835 | + | 2.46119i | −0.129733 | + | 0.328891i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.41095i | 0.447879i | ||||||||
\(59\) | 4.53573 | + | 7.85612i | 0.590502 | + | 1.02278i | 0.994165 | + | 0.107872i | \(0.0344036\pi\) |
−0.403663 | + | 0.914908i | \(0.632263\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 9.33757 | + | 5.39105i | 1.19555 | + | 0.690253i | 0.959561 | − | 0.281501i | \(-0.0908324\pi\) |
0.235993 | + | 0.971755i | \(0.424166\pi\) | |||||||
\(62\) | 0.975100i | 0.123838i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.25698 | − | 5.38409i | 0.900118 | − | 0.667815i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.24087 | + | 3.02582i | −0.640274 | + | 0.369662i | −0.784720 | − | 0.619850i | \(-0.787193\pi\) |
0.144446 | + | 0.989513i | \(0.453860\pi\) | |||||||
\(68\) | 6.45290i | 0.782529i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.53572 | − | 5.71328i | −0.183553 | − | 0.682868i | ||||
\(71\) | − | 11.0359i | − | 1.30973i | −0.755748 | − | 0.654863i | \(-0.772726\pi\) | ||
0.755748 | − | 0.654863i | \(-0.227274\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.78631 | − | 13.4863i | 0.911318 | − | 1.57845i | 0.0991142 | − | 0.995076i | \(-0.468399\pi\) |
0.812204 | − | 0.583373i | \(-0.198268\pi\) | |||||||
\(74\) | − | 8.55079i | − | 0.994009i | ||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.177623 | + | 0.102551i | 0.0203748 | + | 0.0117634i | ||||
\(77\) | −5.63236 | − | 2.22172i | −0.641867 | − | 0.253189i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.61701 | − | 6.26485i | 0.406946 | − | 0.704851i | −0.587600 | − | 0.809151i | \(-0.699927\pi\) |
0.994546 | + | 0.104301i | \(0.0332605\pi\) | |||||||
\(80\) | −1.79580 | + | 1.33234i | −0.200776 | + | 0.148960i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.15662 | + | 2.00333i | 0.127728 | + | 0.221231i | ||||
\(83\) | −9.91029 | + | 5.72171i | −1.08780 | + | 0.628039i | −0.932989 | − | 0.359906i | \(-0.882809\pi\) |
−0.154807 | + | 0.987945i | \(0.549476\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.59743 | − | 11.5881i | −0.932522 | − | 1.25691i | ||||
\(86\) | 2.45646i | 0.264887i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.28847i | 0.243951i | ||||||||
\(89\) | 5.08916 | + | 8.81469i | 0.539450 | + | 0.934355i | 0.998934 | + | 0.0461690i | \(0.0147013\pi\) |
−0.459483 | + | 0.888186i | \(0.651965\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.65180 | − | 8.37059i | −0.697299 | − | 0.877476i | ||||
\(92\) | 1.00425 | + | 1.73941i | 0.104700 | + | 0.181346i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.13773 | + | 2.38892i | −0.426774 | + | 0.246398i | ||||
\(95\) | −0.455607 | + | 0.0524934i | −0.0467443 | + | 0.00538571i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.24029 | − | 7.34440i | −0.430536 | − | 0.745711i | 0.566383 | − | 0.824142i | \(-0.308342\pi\) |
−0.996920 | + | 0.0784313i | \(0.975009\pi\) | |||||||
\(98\) | −6.69607 | + | 2.04027i | −0.676405 | + | 0.206098i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.44977 | − | 4.78520i | 0.144977 | − | 0.478520i | ||||
\(101\) | 1.51509 | 0.150757 | 0.0753785 | − | 0.997155i | \(-0.475983\pi\) | ||||
0.0753785 | + | 0.997155i | \(0.475983\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 18.7761 | 1.85006 | 0.925031 | − | 0.379891i | \(-0.124039\pi\) | ||||
0.925031 | + | 0.379891i | \(0.124039\pi\) | |||||||
\(104\) | −2.02055 | + | 3.49969i | −0.198131 | + | 0.343173i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.35928 | − | 4.08640i | −0.229154 | − | 0.396906i | ||||
\(107\) | −9.00357 | − | 15.5946i | −0.870408 | − | 1.50759i | −0.861576 | − | 0.507629i | \(-0.830522\pi\) |
−0.00883183 | − | 0.999961i | \(-0.502811\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.13785 | + | 14.0952i | −0.779464 | + | 1.35007i | 0.152786 | + | 0.988259i | \(0.451175\pi\) |
−0.932251 | + | 0.361813i | \(0.882158\pi\) | |||||||
\(110\) | −3.04900 | − | 4.10962i | −0.290711 | − | 0.391837i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.64604 | + | 2.07137i | 0.155536 | + | 0.195726i | ||||
\(113\) | −2.98673 | + | 5.17317i | −0.280968 | + | 0.486651i | −0.971623 | − | 0.236533i | \(-0.923989\pi\) |
0.690655 | + | 0.723184i | \(0.257322\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.12090 | − | 1.78563i | −0.384276 | − | 0.166511i | ||||
\(116\) | 2.95397 | + | 1.70547i | 0.274269 | + | 0.158349i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.07146 | 0.835096 | ||||||||
\(119\) | −13.3663 | + | 10.6217i | −1.22529 | + | 0.973693i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.76292 | 0.523902 | ||||||||
\(122\) | 9.33757 | − | 5.39105i | 0.845384 | − | 0.488083i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.844461 | + | 0.487550i | 0.0758349 | + | 0.0437833i | ||||
\(125\) | 3.77201 | + | 10.5248i | 0.337379 | + | 0.941369i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 11.8327i | − | 1.04998i | −0.851108 | − | 0.524991i | \(-0.824069\pi\) | ||
0.851108 | − | 0.524991i | \(-0.175931\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.03427 | − | 8.97678i | −0.0907116 | − | 0.787316i | ||||
\(131\) | 2.95626 | 0.258290 | 0.129145 | − | 0.991626i | \(-0.458777\pi\) | ||||
0.129145 | + | 0.991626i | \(0.458777\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0799547 | + | 0.536725i | 0.00693295 | + | 0.0465400i | ||||
\(134\) | 6.05164i | 0.522782i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.58838 | + | 3.22645i | 0.479199 | + | 0.276666i | ||||
\(137\) | 6.86183 | 0.586246 | 0.293123 | − | 0.956075i | \(-0.405305\pi\) | ||||
0.293123 | + | 0.956075i | \(0.405305\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.44024 | + | 0.831524i | 0.122160 | + | 0.0705289i | 0.559835 | − | 0.828604i | \(-0.310865\pi\) |
−0.437675 | + | 0.899133i | \(0.644198\pi\) | |||||||
\(140\) | −5.71570 | − | 1.52667i | −0.483065 | − | 0.129027i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.55741 | − | 5.51797i | −0.802040 | − | 0.463058i | ||||
\(143\) | −8.00893 | − | 4.62396i | −0.669740 | − | 0.386675i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.57698 | + | 0.872991i | −0.629234 | + | 0.0724980i | ||||
\(146\) | −7.78631 | − | 13.4863i | −0.644399 | − | 1.11613i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.40520 | − | 4.27539i | −0.608704 | − | 0.351435i | ||||
\(149\) | 11.7251i | 0.960557i | 0.877116 | + | 0.480278i | \(0.159464\pi\) | ||||
−0.877116 | + | 0.480278i | \(0.840536\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.36336 | 0.273706 | 0.136853 | − | 0.990591i | \(-0.456301\pi\) | ||||
0.136853 | + | 0.990591i | \(0.456301\pi\) | |||||||
\(152\) | 0.177623 | − | 0.102551i | 0.0144071 | − | 0.00831797i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.74025 | + | 3.76691i | −0.381980 | + | 0.303546i | ||||
\(155\) | −2.16606 | + | 0.249565i | −0.173982 | + | 0.0200456i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.29164 | + | 2.23719i | 0.103084 | + | 0.178547i | 0.912954 | − | 0.408063i | \(-0.133796\pi\) |
−0.809870 | + | 0.586610i | \(0.800462\pi\) | |||||||
\(158\) | −3.61701 | − | 6.26485i | −0.287754 | − | 0.498405i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.255938 | + | 2.22137i | 0.0202337 | + | 0.175615i | ||||
\(161\) | −1.94992 | + | 4.94330i | −0.153675 | + | 0.389587i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −21.1464 | + | 12.2089i | −1.65631 | + | 0.956272i | −0.681916 | + | 0.731431i | \(0.738853\pi\) |
−0.974395 | + | 0.224841i | \(0.927814\pi\) | |||||||
\(164\) | 2.31324 | 0.180634 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.4434i | 0.888181i | ||||||||
\(167\) | −0.00904075 | − | 0.00521968i | −0.000699594 | − | 0.000403911i | 0.499650 | − | 0.866227i | \(-0.333462\pi\) |
−0.500350 | + | 0.865823i | \(0.666795\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.66523 | − | 2.88426i | −0.128094 | − | 0.221866i | ||||
\(170\) | −14.3343 | + | 1.65154i | −1.09939 | + | 0.126668i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.12736 | + | 1.22823i | 0.162209 | + | 0.0936516i | ||||
\(173\) | 15.7903 | + | 9.11652i | 1.20051 | + | 0.693116i | 0.960669 | − | 0.277695i | \(-0.0895706\pi\) |
0.239843 | + | 0.970812i | \(0.422904\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.2983 | − | 4.87364i | 0.929662 | − | 0.368413i | ||||
\(176\) | 1.98187 | + | 1.14423i | 0.149389 | + | 0.0862498i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.1783 | 0.762898 | ||||||||
\(179\) | 13.5399 | + | 7.81725i | 1.01202 | + | 0.584289i | 0.911782 | − | 0.410675i | \(-0.134707\pi\) |
0.100236 | + | 0.994964i | \(0.468040\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 24.3098i | − | 1.80693i | −0.428659 | − | 0.903467i | \(-0.641014\pi\) | ||
0.428659 | − | 0.903467i | \(-0.358986\pi\) | |||||||
\(182\) | −10.5750 | + | 1.57534i | −0.783874 | + | 0.116772i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.00850 | 0.148068 | ||||||||
\(185\) | 18.9945 | − | 2.18847i | 1.39650 | − | 0.160900i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.38362 | + | 12.7888i | −0.539944 | + | 0.935210i | ||||
\(188\) | 4.77784i | 0.348460i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.182343 | + | 0.420814i | −0.0132286 | + | 0.0305291i | ||||
\(191\) | −10.3403 | − | 5.96997i | −0.748197 | − | 0.431972i | 0.0768452 | − | 0.997043i | \(-0.475515\pi\) |
−0.825042 | + | 0.565071i | \(0.808849\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.7748 | − | 6.22084i | 0.775588 | − | 0.447786i | −0.0592765 | − | 0.998242i | \(-0.518879\pi\) |
0.834864 | + | 0.550456i | \(0.185546\pi\) | |||||||
\(194\) | −8.48058 | −0.608870 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.58111 | + | 6.81910i | −0.112936 | + | 0.487078i | ||||
\(197\) | 23.0465 | 1.64199 | 0.820996 | − | 0.570934i | \(-0.193419\pi\) | ||||
0.820996 | + | 0.570934i | \(0.193419\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.98847 | − | 4.03479i | −0.495399 | − | 0.286019i | 0.231412 | − | 0.972856i | \(-0.425665\pi\) |
−0.726812 | + | 0.686837i | \(0.758999\pi\) | |||||||
\(200\) | −3.41923 | − | 3.64814i | −0.241776 | − | 0.257962i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.757545 | − | 1.31211i | 0.0533007 | − | 0.0923195i | ||||
\(203\) | 1.32969 | + | 8.92602i | 0.0933258 | + | 0.626484i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.15411 | + | 3.08202i | −0.290136 | + | 0.215257i | ||||
\(206\) | 9.38804 | − | 16.2606i | 0.654096 | − | 1.13293i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.02055 | + | 3.49969i | 0.140100 | + | 0.242660i | ||||
\(209\) | 0.234684 | + | 0.406485i | 0.0162334 | + | 0.0281171i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.23801 | + | 16.0007i | −0.635971 | + | 1.10153i | 0.350338 | + | 0.936623i | \(0.386067\pi\) |
−0.986309 | + | 0.164910i | \(0.947266\pi\) | |||||||
\(212\) | −4.71857 | −0.324072 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −18.0071 | −1.23094 | ||||||||
\(215\) | −5.45671 | + | 0.628702i | −0.372145 | + | 0.0428771i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.380123 | + | 2.55171i | 0.0258044 | + | 0.173222i | ||||
\(218\) | 8.13785 | + | 14.0952i | 0.551165 | + | 0.954645i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.08354 | + | 0.585706i | −0.342732 | + | 0.0394883i | ||||
\(221\) | −22.5832 | + | 13.0384i | −1.51911 | + | 0.877057i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.10769 | + | 3.65063i | 0.141142 | + | 0.244464i | 0.927927 | − | 0.372763i | \(-0.121589\pi\) |
−0.786785 | + | 0.617227i | \(0.788256\pi\) | |||||||
\(224\) | 2.61687 | − | 0.389830i | 0.174847 | − | 0.0260466i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.98673 | + | 5.17317i | 0.198674 | + | 0.344114i | ||||
\(227\) | − | 18.5740i | − | 1.23280i | −0.787433 | − | 0.616400i | \(-0.788590\pi\) | ||
0.787433 | − | 0.616400i | \(-0.211410\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 1.57155i | − | 0.103851i | −0.998651 | − | 0.0519256i | \(-0.983464\pi\) | ||
0.998651 | − | 0.0519256i | \(-0.0165359\pi\) | |||||||
\(230\) | −3.60685 | + | 2.67599i | −0.237829 | + | 0.176450i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.95397 | − | 1.70547i | 0.193937 | − | 0.111970i | ||||
\(233\) | −3.77904 | − | 6.54549i | −0.247573 | − | 0.428809i | 0.715279 | − | 0.698839i | \(-0.246300\pi\) |
−0.962852 | + | 0.270030i | \(0.912966\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.36569 | − | 8.58003i | −0.415252 | − | 0.559699i | ||||
\(236\) | 4.53573 | − | 7.85612i | 0.295251 | − | 0.511390i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.51553 | + | 16.8864i | 0.163058 | + | 1.09458i | ||||
\(239\) | −14.4459 | − | 8.34037i | −0.934430 | − | 0.539494i | −0.0462202 | − | 0.998931i | \(-0.514718\pi\) |
−0.888210 | + | 0.459438i | \(0.848051\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.3707i | 1.82751i | 0.406260 | + | 0.913757i | \(0.366833\pi\) | ||||
−0.406260 | + | 0.913757i | \(0.633167\pi\) | |||||||
\(242\) | 2.88146 | − | 4.99084i | 0.185227 | − | 0.320823i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 10.7821i | − | 0.690253i | ||||||
\(245\) | −6.24598 | − | 14.3523i | −0.399041 | − | 0.916933i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.828835i | 0.0527375i | ||||||||
\(248\) | 0.844461 | − | 0.487550i | 0.0536233 | − | 0.0309594i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.0008 | + | 1.99575i | 0.695750 | + | 0.126222i | ||||
\(251\) | 9.95552 | 0.628387 | 0.314193 | − | 0.949359i | \(-0.398266\pi\) | ||||
0.314193 | + | 0.949359i | \(0.398266\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.59638i | 0.288972i | ||||||||
\(254\) | −10.2474 | − | 5.91635i | −0.642980 | − | 0.371225i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 18.7643i | 1.17049i | 0.810858 | + | 0.585243i | \(0.199001\pi\) | ||||
−0.810858 | + | 0.585243i | \(0.800999\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.33335 | − | 22.3763i | −0.207124 | − | 1.39040i | ||||
\(260\) | −8.29125 | − | 3.59268i | −0.514202 | − | 0.222809i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.47813 | − | 2.56020i | 0.0913192 | − | 0.158170i | ||||
\(263\) | 2.94944 | 0.181870 | 0.0909351 | − | 0.995857i | \(-0.471014\pi\) | ||||
0.0909351 | + | 0.995857i | \(0.471014\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.47358 | − | 6.28671i | 0.520528 | − | 0.386190i | ||||
\(266\) | 0.504795 | + | 0.199120i | 0.0309510 | + | 0.0122088i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.24087 | + | 3.02582i | 0.320137 | + | 0.184831i | ||||
\(269\) | 13.8077 | − | 23.9156i | 0.841869 | − | 1.45816i | −0.0464436 | − | 0.998921i | \(-0.514789\pi\) |
0.888313 | − | 0.459239i | \(-0.151878\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.8142 | − | 7.39828i | 0.778407 | − | 0.449413i | −0.0574587 | − | 0.998348i | \(-0.518300\pi\) |
0.835865 | + | 0.548935i | \(0.184966\pi\) | |||||||
\(272\) | 5.58838 | − | 3.22645i | 0.338845 | − | 0.195632i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.43092 | − | 5.94252i | 0.207269 | − | 0.359001i | ||||
\(275\) | 8.34863 | − | 7.82478i | 0.503442 | − | 0.471852i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.95373i | 0.477893i | 0.971033 | + | 0.238947i | \(0.0768021\pi\) | ||||
−0.971033 | + | 0.238947i | \(0.923198\pi\) | |||||||
\(278\) | 1.44024 | − | 0.831524i | 0.0863799 | − | 0.0498715i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.17999 | + | 4.18661i | −0.249802 | + | 0.250198i | ||||
\(281\) | 12.9850 | − | 7.49690i | 0.774621 | − | 0.447228i | −0.0598996 | − | 0.998204i | \(-0.519078\pi\) |
0.834521 | + | 0.550977i | \(0.185745\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.9011 | + | 25.8095i | 0.885780 | + | 1.53422i | 0.844817 | + | 0.535055i | \(0.179709\pi\) |
0.0409630 | + | 0.999161i | \(0.486957\pi\) | |||||||
\(284\) | −9.55741 | + | 5.51797i | −0.567128 | + | 0.327431i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.00893 | + | 4.62396i | −0.473578 | + | 0.273420i | ||||
\(287\) | 3.80769 | + | 4.79157i | 0.224761 | + | 0.282838i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.3200 | + | 21.3388i | 0.724704 | + | 1.25522i | ||||
\(290\) | −3.03246 | + | 6.99835i | −0.178072 | + | 0.410957i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −15.5726 | −0.911318 | ||||||||
\(293\) | 2.19993 | + | 1.27013i | 0.128522 | + | 0.0742019i | 0.562882 | − | 0.826537i | \(-0.309692\pi\) |
−0.434361 | + | 0.900739i | \(0.643026\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.32173 | + | 20.1511i | 0.135177 | + | 1.17324i | ||||
\(296\) | −7.40520 | + | 4.27539i | −0.430418 | + | 0.248502i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.1542 | + | 5.86255i | 0.588219 | + | 0.339608i | ||||
\(299\) | −4.05826 | + | 7.02912i | −0.234695 | + | 0.406504i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.957600 | + | 6.42825i | 0.0551952 | + | 0.370518i | ||||
\(302\) | 1.68168 | − | 2.91276i | 0.0967699 | − | 0.167610i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | − | 0.205102i | − | 0.0117634i | ||||||
\(305\) | 14.3654 | + | 19.3625i | 0.822559 | + | 1.10869i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.06299 | −0.460179 | −0.230089 | − | 0.973169i | \(-0.573902\pi\) | ||||
−0.230089 | + | 0.973169i | \(0.573902\pi\) | |||||||
\(308\) | 0.892112 | + | 5.98863i | 0.0508328 | + | 0.341234i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.866900 | + | 2.00065i | −0.0492366 | + | 0.113629i | ||||
\(311\) | 0.381813 | + | 0.661319i | 0.0216506 | + | 0.0374999i | 0.876648 | − | 0.481133i | \(-0.159775\pi\) |
−0.854997 | + | 0.518633i | \(0.826441\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.91868 | − | 3.32326i | 0.108450 | − | 0.187842i | −0.806692 | − | 0.590972i | \(-0.798744\pi\) |
0.915143 | + | 0.403130i | \(0.132078\pi\) | |||||||
\(314\) | 2.58329 | 0.145783 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −7.23402 | −0.406946 | ||||||||
\(317\) | −8.66445 | + | 15.0073i | −0.486644 | + | 0.842892i | −0.999882 | − | 0.0153543i | \(-0.995112\pi\) |
0.513238 | + | 0.858246i | \(0.328446\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.90292 | + | 6.76005i | 0.218521 | + | 0.378490i | ||||
\(320\) | 2.05173 | + | 0.889037i | 0.114695 | + | 0.0496987i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.30606 | + | 4.16033i | 0.184240 | + | 0.231846i | ||||
\(323\) | 1.32350 | 0.0736416 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19.6761 | − | 4.59500i | 1.09143 | − | 0.254885i | ||||
\(326\) | 24.4177i | 1.35237i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.15662 | − | 2.00333i | 0.0638638 | − | 0.110615i | ||||
\(329\) | −9.89665 | + | 7.86452i | −0.545620 | + | 0.433585i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.47937 | − | 4.29439i | 0.136278 | − | 0.236041i | −0.789807 | − | 0.613356i | \(-0.789819\pi\) |
0.926085 | + | 0.377315i | \(0.123153\pi\) | |||||||
\(332\) | 9.91029 | + | 5.72171i | 0.543898 | + | 0.314020i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.00904075 | + | 0.00521968i | −0.000494688 | + | 0.000285608i | ||||
\(335\) | −13.4429 | + | 1.54885i | −0.734466 | + | 0.0846224i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.58895 | − | 0.917381i | −0.0865557 | − | 0.0499729i | 0.456097 | − | 0.889930i | \(-0.349247\pi\) |
−0.542653 | + | 0.839957i | \(0.682580\pi\) | |||||||
\(338\) | −3.33046 | −0.181153 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.73687 | + | 13.2396i | −0.311125 | + | 0.718020i | ||||
\(341\) | 1.11574 | + | 1.93252i | 0.0604208 | + | 0.104652i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.7274 | + | 7.94946i | −0.903195 | + | 0.429230i | ||||
\(344\) | 2.12736 | − | 1.22823i | 0.114699 | − | 0.0662217i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 15.7903 | − | 9.11652i | 0.848890 | − | 0.490107i | ||||
\(347\) | 3.39243 | + | 5.87586i | 0.182115 | + | 0.315433i | 0.942601 | − | 0.333922i | \(-0.108372\pi\) |
−0.760486 | + | 0.649355i | \(0.775039\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.4343 | − | 6.60159i | 0.612064 | − | 0.353375i | −0.161709 | − | 0.986838i | \(-0.551701\pi\) |
0.773773 | + | 0.633463i | \(0.218367\pi\) | |||||||
\(350\) | 1.92844 | − | 13.0874i | 0.103079 | − | 0.699553i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.98187 | − | 1.14423i | 0.105634 | − | 0.0609878i | ||||
\(353\) | 31.0211i | 1.65109i | 0.564340 | + | 0.825543i | \(0.309131\pi\) | ||||
−0.564340 | + | 0.825543i | \(0.690869\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.81137 | − | 22.6428i | 0.520733 | − | 1.20176i | ||||
\(356\) | 5.08916 | − | 8.81469i | 0.269725 | − | 0.467178i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.5399 | − | 7.81725i | 0.715605 | − | 0.413155i | ||||
\(359\) | 24.9912 | − | 14.4287i | 1.31899 | − | 0.761517i | 0.335420 | − | 0.942069i | \(-0.391122\pi\) |
0.983565 | + | 0.180552i | \(0.0577884\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.47897 | + | 16.4181i | −0.498893 | + | 0.864108i | ||||
\(362\) | −21.0529 | − | 12.1549i | −1.10652 | − | 0.638847i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −3.92324 | + | 9.94592i | −0.205634 | + | 0.521308i | ||||
\(365\) | 27.9652 | − | 20.7479i | 1.46377 | − | 1.08600i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.3632 | 0.645354 | 0.322677 | − | 0.946509i | \(-0.395417\pi\) | ||||
0.322677 | + | 0.946509i | \(0.395417\pi\) | |||||||
\(368\) | 1.00425 | − | 1.73941i | 0.0523501 | − | 0.0906730i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.60197 | − | 17.5439i | 0.395207 | − | 0.912066i | ||||
\(371\) | −7.76695 | − | 9.77387i | −0.403240 | − | 0.507434i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 36.6612i | 1.89825i | 0.314906 | + | 0.949123i | \(0.398027\pi\) | ||||
−0.314906 | + | 0.949123i | \(0.601973\pi\) | |||||||
\(374\) | 7.38362 | + | 12.7888i | 0.381798 | + | 0.661294i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.13773 | + | 2.38892i | 0.213387 | + | 0.123199i | ||||
\(377\) | 13.7840i | 0.709910i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 19.2906 | 0.990893 | 0.495446 | − | 0.868639i | \(-0.335004\pi\) | ||||
0.495446 | + | 0.868639i | \(0.335004\pi\) | |||||||
\(380\) | 0.273264 | + | 0.368321i | 0.0140182 | + | 0.0188945i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.3403 | + | 5.96997i | −0.529055 | + | 0.305450i | ||||
\(383\) | 8.18915i | 0.418446i | 0.977868 | + | 0.209223i | \(0.0670934\pi\) | ||||
−0.977868 | + | 0.209223i | \(0.932907\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.58091 | − | 9.56576i | −0.488288 | − | 0.487516i | ||||
\(386\) | − | 12.4417i | − | 0.633265i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.24029 | + | 7.34440i | −0.215268 | + | 0.372855i | ||||
\(389\) | 8.82897i | 0.447647i | 0.974630 | + | 0.223823i | \(0.0718538\pi\) | ||||
−0.974630 | + | 0.223823i | \(0.928146\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.2242 | + | 6.48032i | 0.567634 | + | 0.327724i | ||||
\(392\) | 5.11496 | + | 4.77883i | 0.258344 | + | 0.241367i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.5232 | − | 19.9588i | 0.580532 | − | 1.00551i | ||||
\(395\) | 12.9908 | − | 9.63815i | 0.653640 | − | 0.484948i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.82466 | − | 10.0886i | −0.292332 | − | 0.506333i | 0.682029 | − | 0.731325i | \(-0.261098\pi\) |
−0.974361 | + | 0.224992i | \(0.927764\pi\) | |||||||
\(398\) | −6.98847 | + | 4.03479i | −0.350300 | + | 0.202246i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.86899 | + | 1.13707i | −0.243450 | + | 0.0568534i | ||||
\(401\) | 2.64152i | 0.131911i | 0.997823 | + | 0.0659557i | \(0.0210096\pi\) | ||||
−0.997823 | + | 0.0659557i | \(0.978990\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.94047i | 0.196289i | ||||||||
\(404\) | −0.757545 | − | 1.31211i | −0.0376893 | − | 0.0652797i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.39500 | + | 3.31147i | 0.416637 | + | 0.164345i | ||||
\(407\) | −9.78409 | − | 16.9465i | −0.484979 | − | 0.840009i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.46721 | + | 2.00180i | −0.171443 | + | 0.0989824i | −0.583266 | − | 0.812281i | \(-0.698225\pi\) |
0.411823 | + | 0.911264i | \(0.364892\pi\) | |||||||
\(410\) | 0.592047 | + | 5.13858i | 0.0292391 | + | 0.253776i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.38804 | − | 16.2606i | −0.462516 | − | 0.801100i | ||||
\(413\) | 23.7389 | − | 3.53633i | 1.16811 | − | 0.174011i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −25.4201 | + | 2.92881i | −1.24782 | + | 0.143770i | ||||
\(416\) | 4.04110 | 0.198131 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.469368 | 0.0229575 | ||||||||
\(419\) | 10.3156 | − | 17.8671i | 0.503949 | − | 0.872865i | −0.496040 | − | 0.868299i | \(-0.665213\pi\) |
0.999990 | − | 0.00456603i | \(-0.00145342\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.08360 | − | 3.60891i | −0.101549 | − | 0.175887i | 0.810774 | − | 0.585359i | \(-0.199046\pi\) |
−0.912323 | + | 0.409472i | \(0.865713\pi\) | |||||||
\(422\) | 9.23801 | + | 16.0007i | 0.449699 | + | 0.778902i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.35928 | + | 4.08640i | −0.114577 | + | 0.198453i | ||||
\(425\) | −7.33739 | − | 31.4191i | −0.355916 | − | 1.52405i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 22.3337 | − | 17.7478i | 1.08080 | − | 0.858875i | ||||
\(428\) | −9.00357 | + | 15.5946i | −0.435204 | + | 0.753795i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.18388 | + | 5.04000i | −0.105316 | + | 0.243050i | ||||
\(431\) | −1.89577 | − | 1.09452i | −0.0913159 | − | 0.0527213i | 0.453647 | − | 0.891182i | \(-0.350123\pi\) |
−0.544963 | + | 0.838460i | \(0.683456\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.8117 | −1.14432 | −0.572158 | − | 0.820143i | \(-0.693894\pi\) | ||||
−0.572158 | + | 0.820143i | \(0.693894\pi\) | |||||||
\(434\) | 2.39991 | + | 0.946661i | 0.115199 | + | 0.0454412i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 16.2757 | 0.779464 | ||||||||
\(437\) | 0.356756 | − | 0.205973i | 0.0170659 | − | 0.00985302i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.4614 | + | 7.19459i | 0.594750 | + | 0.343379i | 0.766973 | − | 0.641679i | \(-0.221762\pi\) |
−0.172223 | + | 0.985058i | \(0.555095\pi\) | |||||||
\(440\) | −2.03453 | + | 4.69532i | −0.0969925 | + | 0.223841i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 26.0768i | 1.24035i | ||||||||
\(443\) | −18.3040 | + | 31.7035i | −0.869649 | + | 1.50628i | −0.00729415 | + | 0.999973i | \(0.502322\pi\) |
−0.862355 | + | 0.506304i | \(0.831012\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.60502 | + | 22.6099i | 0.123490 | + | 1.07181i | ||||
\(446\) | 4.21539 | 0.199604 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.970835 | − | 2.46119i | 0.0458676 | − | 0.116281i | ||||
\(449\) | 0.350689i | 0.0165500i | 0.999966 | + | 0.00827501i | \(0.00263405\pi\) | ||||
−0.999966 | + | 0.00827501i | \(0.997366\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.58455 | + | 2.64689i | 0.215878 | + | 0.124637i | ||||
\(452\) | 5.97346 | 0.280968 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16.0856 | − | 9.28700i | −0.754933 | − | 0.435861i | ||||
\(455\) | −6.20597 | − | 23.0879i | −0.290940 | − | 1.08238i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.65880 | + | 0.957706i | 0.0775952 | + | 0.0447996i | 0.538296 | − | 0.842756i | \(-0.319068\pi\) |
−0.460700 | + | 0.887556i | \(0.652402\pi\) | |||||||
\(458\) | −1.36101 | − | 0.785777i | −0.0635956 | − | 0.0367169i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.514051 | + | 4.46162i | 0.0239678 | + | 0.208024i | ||||
\(461\) | −12.2091 | − | 21.1468i | −0.568636 | − | 0.984906i | −0.996701 | − | 0.0811583i | \(-0.974138\pi\) |
0.428065 | − | 0.903748i | \(-0.359195\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.09771 | + | 2.36581i | 0.190437 | + | 0.109949i | 0.592187 | − | 0.805801i | \(-0.298265\pi\) |
−0.401750 | + | 0.915749i | \(0.631598\pi\) | |||||||
\(464\) | − | 3.41095i | − | 0.158349i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −7.55808 | −0.350121 | ||||||||
\(467\) | 29.9337 | − | 17.2822i | 1.38517 | − | 0.799726i | 0.392401 | − | 0.919794i | \(-0.371645\pi\) |
0.992766 | + | 0.120068i | \(0.0383112\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.35911 | + | 15.8364i | 0.108933 | + | 0.731256i | ||||
\(470\) | −10.6134 | + | 1.22283i | −0.489558 | + | 0.0564050i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.53573 | − | 7.85612i | −0.208774 | − | 0.361607i | ||||
\(473\) | 2.81076 | + | 4.86838i | 0.129239 | + | 0.223848i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.981453 | − | 0.297349i | −0.0450322 | − | 0.0136433i | ||||
\(476\) | 15.8818 | + | 6.26470i | 0.727943 | + | 0.287142i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −14.4459 | + | 8.34037i | −0.660742 | + | 0.381480i | ||||
\(479\) | 41.5530 | 1.89861 | 0.949303 | − | 0.314364i | \(-0.101791\pi\) | ||||
0.949303 | + | 0.314364i | \(0.101791\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 34.5545i | − | 1.57555i | ||||||
\(482\) | 24.5697 | + | 14.1853i | 1.11912 | + | 0.646124i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.88146 | − | 4.99084i | −0.130976 | − | 0.226856i | ||||
\(485\) | −2.17050 | − | 18.8385i | −0.0985576 | − | 0.855413i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.25200 | + | 4.76429i | 0.373934 | + | 0.215891i | 0.675176 | − | 0.737657i | \(-0.264068\pi\) |
−0.301242 | + | 0.953548i | \(0.597401\pi\) | |||||||
\(488\) | −9.33757 | − | 5.39105i | −0.422692 | − | 0.244041i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.5524 | − | 1.76696i | −0.702587 | − | 0.0798231i | ||||
\(491\) | −3.87273 | − | 2.23592i | −0.174774 | − | 0.100906i | 0.410061 | − | 0.912058i | \(-0.365507\pi\) |
−0.584835 | + | 0.811152i | \(0.698841\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.0105 | 0.991303 | ||||||||
\(494\) | 0.717793 | + | 0.414418i | 0.0322950 | + | 0.0186455i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 0.975100i | − | 0.0437833i | ||||||
\(497\) | −27.1616 | − | 10.7141i | −1.21836 | − | 0.480592i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −35.7197 | −1.59903 | −0.799516 | − | 0.600644i | \(-0.794911\pi\) | ||||
−0.799516 | + | 0.600644i | \(0.794911\pi\) | |||||||
\(500\) | 7.22876 | − | 8.52907i | 0.323280 | − | 0.381432i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.97776 | − | 8.62173i | 0.222168 | − | 0.384807i | ||||
\(503\) | 2.25896i | 0.100722i | 0.998731 | + | 0.0503609i | \(0.0160372\pi\) | ||||
−0.998731 | + | 0.0503609i | \(0.983963\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.10856 | + | 1.34697i | 0.138329 | + | 0.0599394i | ||||
\(506\) | 3.98058 | + | 2.29819i | 0.176958 | + | 0.102167i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.2474 | + | 5.91635i | −0.454656 | + | 0.262496i | ||||
\(509\) | 39.4144 | 1.74701 | 0.873506 | − | 0.486814i | \(-0.161841\pi\) | ||||
0.873506 | + | 0.486814i | \(0.161841\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −25.6331 | − | 32.2566i | −1.13394 | − | 1.42695i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 16.2504 | + | 9.38216i | 0.716774 | + | 0.413829i | ||||
\(515\) | 38.5235 | + | 16.6926i | 1.69755 | + | 0.735565i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.46696 | + | 9.46906i | −0.240437 | + | 0.416449i | ||||
\(518\) | −21.0451 | − | 8.30140i | −0.924671 | − | 0.364743i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.25698 | + | 5.38409i | −0.318240 | + | 0.236108i | ||||
\(521\) | −19.9940 | + | 34.6307i | −0.875954 | + | 1.51720i | −0.0202106 | + | 0.999796i | \(0.506434\pi\) |
−0.855743 | + | 0.517401i | \(0.826900\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.4859 | + | 25.0903i | 0.633424 | + | 1.09712i | 0.986847 | + | 0.161659i | \(0.0516846\pi\) |
−0.353422 | + | 0.935464i | \(0.614982\pi\) | |||||||
\(524\) | −1.47813 | − | 2.56020i | −0.0645724 | − | 0.111843i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.47472 | − | 2.55429i | 0.0643008 | − | 0.111372i | ||||
\(527\) | 6.29222 | 0.274094 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.9659 | −0.824606 | ||||||||
\(530\) | −1.20766 | − | 10.4817i | −0.0524575 | − | 0.455296i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.424840 | − | 0.337605i | 0.0184192 | − | 0.0146371i | ||||
\(533\) | 4.67402 | + | 8.09564i | 0.202454 | + | 0.350661i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.60871 | − | 40.0005i | −0.199252 | − | 1.72937i | ||||
\(536\) | 5.24087 | − | 3.02582i | 0.226371 | − | 0.130695i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13.8077 | − | 23.9156i | −0.595291 | − | 1.03107i | ||||
\(539\) | −10.9362 | + | 11.7054i | −0.471055 | + | 0.504188i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.46717 | + | 4.27326i | 0.106072 | + | 0.183722i | 0.914176 | − | 0.405318i | \(-0.132839\pi\) |
−0.808104 | + | 0.589040i | \(0.799506\pi\) | |||||||
\(542\) | − | 14.7966i | − | 0.635566i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 6.45290i | − | 0.276666i | ||||||
\(545\) | −29.2278 | + | 21.6847i | −1.25198 | + | 0.928870i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 12.6990 | − | 7.33178i | 0.542971 | − | 0.313484i | −0.203311 | − | 0.979114i | \(-0.565170\pi\) |
0.746282 | + | 0.665630i | \(0.231837\pi\) | |||||||
\(548\) | −3.43092 | − | 5.94252i | −0.146562 | − | 0.253852i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.60214 | − | 11.1425i | −0.110956 | − | 0.475119i | ||||
\(551\) | 0.349795 | − | 0.605863i | 0.0149018 | − | 0.0258106i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.9075 | − | 14.9843i | −0.506358 | − | 0.637197i | ||||
\(554\) | 6.88813 | + | 3.97687i | 0.292649 | + | 0.168961i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 1.66305i | − | 0.0705289i | ||||||
\(557\) | −13.3908 | + | 23.1936i | −0.567387 | + | 0.982743i | 0.429436 | + | 0.903097i | \(0.358712\pi\) |
−0.996823 | + | 0.0796459i | \(0.974621\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.92679i | 0.419858i | ||||||||
\(560\) | 1.53572 | + | 5.71328i | 0.0648958 | + | 0.241430i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 14.9938i | − | 0.632475i | ||||||
\(563\) | 16.0483 | − | 9.26547i | 0.676354 | − | 0.390493i | −0.122126 | − | 0.992515i | \(-0.538971\pi\) |
0.798480 | + | 0.602022i | \(0.205638\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.7271 | + | 7.95865i | −0.451293 | + | 0.334823i | ||||
\(566\) | 29.8023 | 1.25268 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.0359i | 0.463058i | ||||||||
\(569\) | −20.6344 | − | 11.9133i | −0.865041 | − | 0.499431i | 0.000656372 | − | 1.00000i | \(-0.499791\pi\) |
−0.865697 | + | 0.500568i | \(0.833124\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −22.2726 | − | 38.5773i | −0.932079 | − | 1.61441i | −0.779761 | − | 0.626077i | \(-0.784660\pi\) |
−0.152318 | − | 0.988332i | \(-0.548674\pi\) | |||||||
\(572\) | 9.24791i | 0.386675i | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.05347 | − | 0.901771i | 0.252667 | − | 0.0376392i | ||||
\(575\) | −6.86750 | − | 7.32727i | −0.286395 | − | 0.305568i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.24045 | + | 2.14853i | −0.0516407 | + | 0.0894443i | −0.890690 | − | 0.454611i | \(-0.849778\pi\) |
0.839050 | + | 0.544055i | \(0.183112\pi\) | |||||||
\(578\) | 24.6399 | 1.02489 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.54452 | + | 6.12536i | 0.188701 | + | 0.254342i | ||||
\(581\) | 4.46098 | + | 29.9460i | 0.185073 | + | 1.24237i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.35158 | − | 5.39914i | −0.387303 | − | 0.223609i | ||||
\(584\) | −7.78631 | + | 13.4863i | −0.322200 | + | 0.558066i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.19993 | − | 1.27013i | 0.0908784 | − | 0.0524687i | ||||
\(587\) | −9.73573 | + | 5.62093i | −0.401837 | + | 0.232001i | −0.687276 | − | 0.726396i | \(-0.741194\pi\) |
0.285439 | + | 0.958397i | \(0.407860\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.0999973 | − | 0.173200i | 0.00412032 | − | 0.00713660i | ||||
\(590\) | 18.6122 | + | 8.06487i | 0.766253 | + | 0.332025i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 8.55079i | 0.351435i | ||||||||
\(593\) | −25.3760 | + | 14.6508i | −1.04207 | + | 0.601638i | −0.920418 | − | 0.390935i | \(-0.872152\pi\) |
−0.121649 | + | 0.992573i | \(0.538818\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −36.8672 | + | 9.90982i | −1.51141 | + | 0.406263i | ||||
\(596\) | 10.1542 | − | 5.86255i | 0.415933 | − | 0.240139i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.05826 | + | 7.02912i | 0.165955 | + | 0.287442i | ||||
\(599\) | −11.6918 | + | 6.75024i | −0.477712 | + | 0.275807i | −0.719463 | − | 0.694531i | \(-0.755612\pi\) |
0.241750 | + | 0.970338i | \(0.422278\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.5297 | − | 7.81138i | 0.551889 | − | 0.318633i | −0.197995 | − | 0.980203i | \(-0.563443\pi\) |
0.749883 | + | 0.661570i | \(0.230110\pi\) | |||||||
\(602\) | 6.04582 | + | 2.38482i | 0.246409 | + | 0.0971979i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.68168 | − | 2.91276i | −0.0684266 | − | 0.118518i | ||||
\(605\) | 11.8240 | + | 5.12345i | 0.480713 | + | 0.208298i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.14122 | −0.330442 | −0.165221 | − | 0.986257i | \(-0.552834\pi\) | ||||
−0.165221 | + | 0.986257i | \(0.552834\pi\) | |||||||
\(608\) | −0.177623 | − | 0.102551i | −0.00720357 | − | 0.00415899i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 23.9511 | − | 2.75955i | 0.969750 | − | 0.111731i | ||||
\(611\) | −16.7210 | + | 9.65386i | −0.676458 | + | 0.390553i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.5475 | + | 8.39900i | 0.587568 | + | 0.339232i | 0.764135 | − | 0.645056i | \(-0.223166\pi\) |
−0.176567 | + | 0.984289i | \(0.556499\pi\) | |||||||
\(614\) | −4.03149 | + | 6.98275i | −0.162698 | + | 0.281801i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.63236 | + | 2.22172i | 0.226934 | + | 0.0895158i | ||||
\(617\) | 13.7676 | − | 23.8461i | 0.554262 | − | 0.960009i | −0.443699 | − | 0.896176i | \(-0.646334\pi\) |
0.997961 | − | 0.0638334i | \(-0.0203326\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.34724i | 0.375697i | 0.982198 | + | 0.187849i | \(0.0601514\pi\) | ||||
−0.982198 | + | 0.187849i | \(0.939849\pi\) | |||||||
\(620\) | 1.29916 | + | 1.75108i | 0.0521755 | + | 0.0703251i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0.763625 | 0.0306186 | ||||||||
\(623\) | 26.6354 | − | 3.96781i | 1.06713 | − | 0.158967i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.61779 | + | 24.9476i | −0.0647116 | + | 0.997904i | ||||
\(626\) | −1.91868 | − | 3.32326i | −0.0766860 | − | 0.132824i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.29164 | − | 2.23719i | 0.0515421 | − | 0.0892736i | ||||
\(629\) | −55.1774 | −2.20007 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −45.9246 | −1.82823 | −0.914115 | − | 0.405454i | \(-0.867113\pi\) | ||||
−0.914115 | + | 0.405454i | \(0.867113\pi\) | |||||||
\(632\) | −3.61701 | + | 6.26485i | −0.143877 | + | 0.249202i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.66445 | + | 15.0073i | 0.344109 | + | 0.596015i | ||||
\(635\) | 10.5197 | − | 24.2776i | 0.417462 | − | 0.963425i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.0594 | + | 8.24493i | −1.07213 | + | 0.326676i | ||||
\(638\) | 7.80583 | 0.309036 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.79580 | − | 1.33234i | 0.0709851 | − | 0.0526652i | ||||
\(641\) | 18.7718i | 0.741442i | 0.928744 | + | 0.370721i | \(0.120889\pi\) | ||||
−0.928744 | + | 0.370721i | \(0.879111\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.5123 | + | 19.9399i | −0.454001 | + | 0.786353i | −0.998630 | − | 0.0523244i | \(-0.983337\pi\) |
0.544629 | + | 0.838677i | \(0.316670\pi\) | |||||||
\(644\) | 5.25598 | − | 0.782971i | 0.207115 | − | 0.0308534i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.661750 | − | 1.14619i | 0.0260362 | − | 0.0450961i | ||||
\(647\) | −14.6259 | − | 8.44426i | −0.575003 | − | 0.331978i | 0.184142 | − | 0.982900i | \(-0.441049\pi\) |
−0.759145 | + | 0.650922i | \(0.774383\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 17.9785 | − | 10.3799i | 0.705716 | − | 0.407445i | ||||
\(650\) | 5.85864 | − | 19.3375i | 0.229795 | − | 0.758478i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 21.1464 | + | 12.2089i | 0.828156 | + | 0.478136i | ||||
\(653\) | −21.7662 | −0.851776 | −0.425888 | − | 0.904776i | \(-0.640038\pi\) | ||||
−0.425888 | + | 0.904776i | \(0.640038\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 6.06546 | + | 2.62823i | 0.236997 | + | 0.102693i | ||||
\(656\) | −1.15662 | − | 2.00333i | −0.0451585 | − | 0.0782168i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.86254 | + | 12.5030i | 0.0726095 | + | 0.487418i | ||||
\(659\) | 21.0718 | − | 12.1658i | 0.820841 | − | 0.473913i | −0.0298654 | − | 0.999554i | \(-0.509508\pi\) |
0.850706 | + | 0.525641i | \(0.176175\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.4717 | − | 12.9740i | 0.874048 | − | 0.504632i | 0.00535644 | − | 0.999986i | \(-0.498295\pi\) |
0.868691 | + | 0.495354i | \(0.164962\pi\) | |||||||
\(662\) | −2.47937 | − | 4.29439i | −0.0963633 | − | 0.166906i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.91029 | − | 5.72171i | 0.384594 | − | 0.222045i | ||||
\(665\) | −0.313123 | + | 1.17230i | −0.0121424 | + | 0.0454599i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.93303 | − | 3.42544i | 0.229728 | − | 0.132633i | ||||
\(668\) | 0.0104394i | 0.000403911i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −5.38013 | + | 12.4163i | −0.207853 | + | 0.479685i | ||||
\(671\) | 12.3372 | − | 21.3687i | 0.476274 | − | 0.824930i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.32531 | − | 1.91987i | 0.128181 | − | 0.0740054i | −0.434538 | − | 0.900653i | \(-0.643088\pi\) |
0.562719 | + | 0.826648i | \(0.309755\pi\) | |||||||
\(674\) | −1.58895 | + | 0.917381i | −0.0612041 | + | 0.0353362i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.66523 | + | 2.88426i | −0.0640472 | + | 0.110933i | ||||
\(677\) | 14.0578 | + | 8.11628i | 0.540286 | + | 0.311934i | 0.745195 | − | 0.666847i | \(-0.232357\pi\) |
−0.204909 | + | 0.978781i | \(0.565690\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.1926 | + | 3.30598i | −0.851674 | + | 0.126872i | ||||
\(680\) | 8.59743 | + | 11.5881i | 0.329696 | + | 0.444383i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.23148 | 0.0854479 | ||||||||
\(683\) | −4.73579 | + | 8.20262i | −0.181210 | + | 0.313865i | −0.942293 | − | 0.334790i | \(-0.891335\pi\) |
0.761083 | + | 0.648655i | \(0.224668\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 14.0787 | + | 6.10043i | 0.537918 | + | 0.233085i | ||||
\(686\) | −1.47927 | + | 18.4611i | −0.0564789 | + | 0.704848i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 2.45646i | − | 0.0936516i | ||||||
\(689\) | −9.53409 | − | 16.5135i | −0.363220 | − | 0.629115i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.6619 | − | 7.88768i | −0.519722 | − | 0.300062i | 0.217099 | − | 0.976150i | \(-0.430341\pi\) |
−0.736821 | + | 0.676088i | \(0.763674\pi\) | |||||||
\(692\) | − | 18.2330i | − | 0.693116i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.78486 | 0.257550 | ||||||||
\(695\) | 2.21574 | + | 2.98649i | 0.0840477 | + | 0.113284i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.9273 | − | 7.46357i | 0.489655 | − | 0.282703i | ||||
\(698\) | − | 13.2032i | − | 0.499748i | ||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.3698 | − | 8.21380i | −0.391943 | − | 0.310452i | ||||
\(701\) | 3.43541i | 0.129754i | 0.997893 | + | 0.0648769i | \(0.0206655\pi\) | ||||
−0.997893 | + | 0.0648769i | \(0.979335\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.876890 | + | 1.51882i | −0.0330725 | + | 0.0572833i | ||||
\(704\) | − | 2.28847i | − | 0.0862498i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 26.8650 | + | 15.5105i | 1.01108 | + | 0.583747i | ||||
\(707\) | 1.47090 | − | 3.72893i | 0.0553190 | − | 0.140241i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.9306 | − | 22.3965i | 0.485620 | − | 0.841118i | −0.514244 | − | 0.857644i | \(-0.671927\pi\) |
0.999863 | + | 0.0165263i | \(0.00526071\pi\) | |||||||
\(710\) | −14.7036 | − | 19.8183i | −0.551816 | − | 0.743768i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.08916 | − | 8.81469i | −0.190724 | − | 0.330345i | ||||
\(713\) | 1.69610 | − | 0.979242i | 0.0635193 | − | 0.0366729i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.3213 | − | 16.6074i | −0.460791 | − | 0.621080i | ||||
\(716\) | − | 15.6345i | − | 0.584289i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | − | 28.8574i | − | 1.07695i | ||||||
\(719\) | −20.8858 | − | 36.1753i | −0.778909 | − | 1.34911i | −0.932571 | − | 0.360986i | \(-0.882440\pi\) |
0.153663 | − | 0.988123i | \(-0.450893\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.2285 | − | 46.2116i | 0.678864 | − | 1.72101i | ||||
\(722\) | 9.47897 | + | 16.4181i | 0.352771 | + | 0.611017i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −21.0529 | + | 12.1549i | −0.782425 | + | 0.451733i | ||||
\(725\) | −16.3221 | − | 4.94507i | −0.606187 | − | 0.183655i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 21.4490 | + | 37.1508i | 0.795499 | + | 1.37785i | 0.922522 | + | 0.385945i | \(0.126125\pi\) |
−0.127022 | + | 0.991900i | \(0.540542\pi\) | |||||||
\(728\) | 6.65180 | + | 8.37059i | 0.246532 | + | 0.310235i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.98563 | − | 34.5926i | −0.147515 | − | 1.28033i | ||||
\(731\) | 15.8513 | 0.586281 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.73892 | −0.175036 | −0.0875179 | − | 0.996163i | \(-0.527894\pi\) | ||||
−0.0875179 | + | 0.996163i | \(0.527894\pi\) | |||||||
\(734\) | 6.18161 | − | 10.7069i | 0.228167 | − | 0.395197i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.00425 | − | 1.73941i | −0.0370171 | − | 0.0641155i | ||||
\(737\) | 6.92448 | + | 11.9936i | 0.255067 | + | 0.441788i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.6252 | + | 25.3317i | −0.537998 | + | 0.931841i | 0.461013 | + | 0.887393i | \(0.347486\pi\) |
−0.999012 | + | 0.0444475i | \(0.985847\pi\) | |||||||
\(740\) | −11.3925 | − | 15.3555i | −0.418797 | − | 0.564478i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.3479 | + | 1.83944i | −0.453305 | + | 0.0675278i | ||||
\(743\) | −16.2571 | + | 28.1581i | −0.596415 | + | 1.03302i | 0.396930 | + | 0.917849i | \(0.370075\pi\) |
−0.993346 | + | 0.115173i | \(0.963258\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −10.4240 | + | 24.0568i | −0.381907 | + | 0.881372i | ||||
\(746\) | 31.7495 | + | 18.3306i | 1.16243 | + | 0.671131i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 14.7672 | 0.539944 | ||||||||
\(749\) | −47.1224 | + | 7.01971i | −1.72182 | + | 0.256495i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −33.1956 | −1.21132 | −0.605662 | − | 0.795722i | \(-0.707092\pi\) | ||||
−0.605662 | + | 0.795722i | \(0.707092\pi\) | |||||||
\(752\) | 4.13773 | − | 2.38892i | 0.150888 | − | 0.0871150i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.9373 | + | 6.89198i | 0.434729 | + | 0.250991i | ||||
\(755\) | 6.90072 | + | 2.99015i | 0.251143 | + | 0.108823i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 1.30712i | − | 0.0475082i | −0.999718 | − | 0.0237541i | \(-0.992438\pi\) | ||
0.999718 | − | 0.0237541i | \(-0.00756188\pi\) | |||||||
\(758\) | 9.64531 | − | 16.7062i | 0.350334 | − | 0.606795i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.455607 | − | 0.0524934i | 0.0165266 | − | 0.00190413i | ||||
\(761\) | 22.7542 | 0.824839 | 0.412420 | − | 0.910994i | \(-0.364684\pi\) | ||||
0.412420 | + | 0.910994i | \(0.364684\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 26.7904 | + | 33.7129i | 0.969879 | + | 1.22049i | ||||
\(764\) | 11.9399i | 0.431972i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.09201 | + | 4.09457i | 0.256245 | + | 0.147943i | ||||
\(767\) | 36.6587 | 1.32367 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 34.4497 | + | 19.8896i | 1.24229 | + | 0.717236i | 0.969560 | − | 0.244855i | \(-0.0787403\pi\) |
0.272729 | + | 0.962091i | \(0.412074\pi\) | |||||||
\(770\) | −13.0746 | + | 3.51443i | −0.471178 | + | 0.126651i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.7748 | − | 6.22084i | −0.387794 | − | 0.223893i | ||||
\(773\) | 31.3729 | + | 18.1132i | 1.12841 | + | 0.651486i | 0.943534 | − | 0.331277i | \(-0.107479\pi\) |
0.184872 | + | 0.982763i | \(0.440813\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.66605 | − | 1.41367i | −0.167610 | − | 0.0507804i | ||||
\(776\) | 4.24029 | + | 7.34440i | 0.152218 | + | 0.263649i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.64611 | + | 4.41449i | 0.274126 | + | 0.158267i | ||||
\(779\) | − | 0.474450i | − | 0.0169989i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −25.2554 | −0.903709 | ||||||||
\(782\) | 11.2242 | − | 6.48032i | 0.401378 | − | 0.231736i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.69607 | − | 2.04027i | 0.239145 | − | 0.0728668i | ||||
\(785\) | 0.661161 | + | 5.73844i | 0.0235979 | + | 0.204814i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.56447 | − | 14.8341i | −0.305290 | − | 0.528778i | 0.672036 | − | 0.740519i | \(-0.265420\pi\) |
−0.977326 | + | 0.211740i | \(0.932087\pi\) | |||||||
\(788\) | −11.5232 | − | 19.9588i | −0.410498 | − | 0.711003i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.85146 | − | 16.0695i | −0.0658721 | − | 0.571726i | ||||
\(791\) | 9.83255 | + | 12.3732i | 0.349605 | + | 0.439941i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 37.7340 | − | 21.7858i | 1.33997 | − | 0.773635i | ||||
\(794\) | −11.6493 | −0.413419 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.06959i | 0.286019i | ||||||||
\(797\) | −35.9212 | − | 20.7391i | −1.27239 | − | 0.734616i | −0.296955 | − | 0.954891i | \(-0.595971\pi\) |
−0.975438 | + | 0.220275i | \(0.929305\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.4155 | + | 26.7004i | 0.545360 | + | 0.944591i | ||||
\(800\) | −1.44977 | + | 4.78520i | −0.0512570 | + | 0.169183i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.28763 | + | 1.32076i | 0.0807788 | + | 0.0466377i | ||||
\(803\) | −30.8629 | − | 17.8187i | −1.08913 | − | 0.628808i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.39549 | + | 8.40879i | −0.295902 | + | 0.296371i | ||||
\(806\) | 3.41255 | + | 1.97024i | 0.120202 | + | 0.0693986i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.51509 | −0.0533007 | ||||||||
\(809\) | 5.30390 | + | 3.06221i | 0.186475 | + | 0.107661i | 0.590331 | − | 0.807161i | \(-0.298997\pi\) |
−0.403856 | + | 0.914822i | \(0.632330\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 51.1448i | − | 1.79594i | −0.440059 | − | 0.897969i | \(-0.645043\pi\) | ||
0.440059 | − | 0.897969i | \(-0.354957\pi\) | |||||||
\(812\) | 7.06531 | − | 5.61455i | 0.247944 | − | 0.197032i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −19.5682 | −0.685864 | ||||||||
\(815\) | −54.2409 | + | 6.24943i | −1.89997 | + | 0.218908i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.251912 | − | 0.436324i | 0.00881328 | − | 0.0152651i | ||||
\(818\) | 4.00359i | 0.139982i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.74616 | + | 2.05656i | 0.165743 | + | 0.0718182i | ||||
\(821\) | −7.88867 | − | 4.55452i | −0.275316 | − | 0.158954i | 0.355985 | − | 0.934492i | \(-0.384145\pi\) |
−0.631301 | + | 0.775538i | \(0.717479\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.7300 | − | 22.3608i | 1.35004 | − | 0.779449i | 0.361789 | − | 0.932260i | \(-0.382166\pi\) |
0.988255 | + | 0.152811i | \(0.0488327\pi\) | |||||||
\(824\) | −18.7761 | −0.654096 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.80689 | − | 22.3266i | 0.306431 | − | 0.776843i | ||||
\(827\) | −34.3286 | −1.19372 | −0.596860 | − | 0.802345i | \(-0.703585\pi\) | ||||
−0.596860 | + | 0.802345i | \(0.703585\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 40.7898 | + | 23.5500i | 1.41669 | + | 0.817925i | 0.996006 | − | 0.0892828i | \(-0.0284575\pi\) |
0.420682 | + | 0.907208i | \(0.361791\pi\) | |||||||
\(830\) | −10.1736 | + | 23.4788i | −0.353132 | + | 0.814963i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.02055 | − | 3.49969i | 0.0700499 | − | 0.121330i | ||||
\(833\) | 13.1657 | + | 43.2091i | 0.456163 | + | 1.49710i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.0139087 | − | 0.0187470i | −0.000481331 | − | 0.000648765i | ||||
\(836\) | 0.234684 | − | 0.406485i | 0.00811672 | − | 0.0140586i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −10.3156 | − | 17.8671i | −0.356346 | − | 0.617209i | ||||
\(839\) | −7.97922 | − | 13.8204i | −0.275473 | − | 0.477134i | 0.694781 | − | 0.719221i | \(-0.255501\pi\) |
−0.970254 | + | 0.242087i | \(0.922168\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.68273 | + | 15.0389i | −0.299404 | + | 0.518583i | ||||
\(842\) | −4.16721 | −0.143612 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.4760 | 0.635971 | ||||||||
\(845\) | −0.852391 | − | 7.39818i | −0.0293231 | − | 0.254505i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.59485 | − | 14.1837i | 0.192241 | − | 0.487357i | ||||
\(848\) | 2.35928 | + | 4.08640i | 0.0810181 | + | 0.140327i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −30.8785 | − | 9.35519i | −1.05912 | − | 0.320881i | ||||
\(851\) | −14.8733 | + | 8.58711i | −0.509851 | + | 0.294362i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.85434 | + | 8.40796i | 0.166209 | + | 0.287883i | 0.937084 | − | 0.349104i | \(-0.113514\pi\) |
−0.770875 | + | 0.636987i | \(0.780181\pi\) | |||||||
\(854\) | −4.20318 | − | 28.2154i | −0.143830 | − | 0.965511i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 9.00357 | + | 15.5946i | 0.307736 | + | 0.533014i | ||||
\(857\) | − | 31.1978i | − | 1.06570i | −0.846210 | − | 0.532849i | \(-0.821121\pi\) | ||
0.846210 | − | 0.532849i | \(-0.178879\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.9449i | 0.544031i | 0.962293 | + | 0.272016i | \(0.0876903\pi\) | ||||
−0.962293 | + | 0.272016i | \(0.912310\pi\) | |||||||
\(860\) | 3.27283 | + | 4.41130i | 0.111602 | + | 0.150424i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.89577 | + | 1.09452i | −0.0645701 | + | 0.0372796i | ||||
\(863\) | −21.8059 | − | 37.7689i | −0.742281 | − | 1.28567i | −0.951454 | − | 0.307790i | \(-0.900411\pi\) |
0.209174 | − | 0.977879i | \(-0.432923\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 24.2925 | + | 32.7428i | 0.825971 | + | 1.11329i | ||||
\(866\) | −11.9058 | + | 20.6215i | −0.404577 | + | 0.700748i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.01979 | − | 1.60505i | 0.0685561 | − | 0.0544790i | ||||
\(869\) | −14.3369 | − | 8.27741i | −0.486346 | − | 0.280792i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.4552i | 0.828634i | ||||||||
\(872\) | 8.13785 | − | 14.0952i | 0.275582 | − | 0.477323i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 0.411946i | − | 0.0139343i | ||||||
\(875\) | 29.5656 | + | 0.934208i | 0.999501 | + | 0.0315820i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 37.8796i | − | 1.27910i | −0.768748 | − | 0.639552i | \(-0.779120\pi\) | ||
0.768748 | − | 0.639552i | \(-0.220880\pi\) | |||||||
\(878\) | 12.4614 | − | 7.19459i | 0.420552 | − | 0.242806i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.04900 | + | 4.10962i | 0.102782 | + | 0.138535i | ||||
\(881\) | −16.7367 | −0.563872 | −0.281936 | − | 0.959433i | \(-0.590977\pi\) | ||||
−0.281936 | + | 0.959433i | \(0.590977\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.43664i | 0.182957i | 0.995807 | + | 0.0914787i | \(0.0291593\pi\) | ||||
−0.995807 | + | 0.0914787i | \(0.970841\pi\) | |||||||
\(884\) | 22.5832 | + | 13.0384i | 0.759554 | + | 0.438529i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.3040 | + | 31.7035i | 0.614935 | + | 1.06510i | ||||
\(887\) | 38.9848i | 1.30898i | 0.756070 | + | 0.654490i | \(0.227117\pi\) | ||||
−0.756070 | + | 0.654490i | \(0.772883\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −29.1226 | − | 11.4876i | −0.976740 | − | 0.385282i | ||||
\(890\) | 20.8832 | + | 9.04891i | 0.700007 | + | 0.303320i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.10769 | − | 3.65063i | 0.0705708 | − | 0.122232i | ||||
\(893\) | 0.979943 | 0.0327925 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 20.8304 | + | 28.0764i | 0.696284 | + | 0.938490i | ||||
\(896\) | −1.64604 | − | 2.07137i | −0.0549903 | − | 0.0691995i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.303705 | + | 0.175344i | 0.0101348 | + | 0.00585132i | ||||
\(899\) | 1.66301 | − | 2.88041i | 0.0554644 | − | 0.0960671i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.3691 | + | 15.2242i | −0.878483 | + | 0.507192i | ||||
\(902\) | 4.58455 | − | 2.64689i | 0.152649 | − | 0.0881318i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.98673 | − | 5.17317i | 0.0993372 | − | 0.172057i | ||||
\(905\) | 21.6123 | − | 49.8772i | 0.718418 | − | 1.65798i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 2.76265i | − | 0.0917322i | −0.998948 | − | 0.0458661i | \(-0.985395\pi\) | ||
0.998948 | − | 0.0458661i | \(-0.0146048\pi\) | |||||||
\(908\) | −16.0856 | + | 9.28700i | −0.533818 | + | 0.308200i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −23.0977 | − | 6.16943i | −0.765682 | − | 0.204515i | ||||
\(911\) | −36.0610 | + | 20.8198i | −1.19475 | + | 0.689792i | −0.959381 | − | 0.282113i | \(-0.908965\pi\) |
−0.235373 | + | 0.971905i | \(0.575631\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.0939 | + | 22.6794i | 0.433346 | + | 0.750577i | ||||
\(914\) | 1.65880 | − | 0.957706i | 0.0548681 | − | 0.0316781i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.36101 | + | 0.785777i | −0.0449689 | + | 0.0259628i | ||||
\(917\) | 2.87004 | − | 7.27593i | 0.0947771 | − | 0.240273i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −11.8470 | − | 20.5196i | −0.390797 | − | 0.676880i | 0.601758 | − | 0.798679i | \(-0.294467\pi\) |
−0.992555 | + | 0.121798i | \(0.961134\pi\) | |||||||
\(920\) | 4.12090 | + | 1.78563i | 0.135862 | + | 0.0588704i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −24.4183 | −0.804172 | ||||||||
\(923\) | −38.6224 | − | 22.2987i | −1.27127 | − | 0.733969i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 40.9173 | + | 12.3966i | 1.34535 | + | 0.407599i | ||||
\(926\) | 4.09771 | − | 2.36581i | 0.134659 | − | 0.0777454i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.95397 | − | 1.70547i | −0.0969687 | − | 0.0559849i | ||||
\(929\) | 3.22447 | − | 5.58494i | 0.105791 | − | 0.183236i | −0.808270 | − | 0.588812i | \(-0.799596\pi\) |
0.914061 | + | 0.405576i | \(0.132929\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.39861 | + | 0.324288i | 0.0458375 | + | 0.0106281i | ||||
\(932\) | −3.77904 | + | 6.54549i | −0.123787 | + | 0.214405i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 34.5645i | − | 1.13098i | ||||||
\(935\) | −26.5190 | + | 19.6749i | −0.867263 | + | 0.643439i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −38.6081 | −1.26127 | −0.630635 | − | 0.776079i | \(-0.717206\pi\) | ||||
−0.630635 | + | 0.776079i | \(0.717206\pi\) | |||||||
\(938\) | 14.8943 | + | 5.87514i | 0.486315 | + | 0.191830i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.24768 | + | 9.80286i | −0.138544 | + | 0.319734i | ||||
\(941\) | 5.21606 | + | 9.03447i | 0.170039 | + | 0.294515i | 0.938433 | − | 0.345461i | \(-0.112277\pi\) |
−0.768395 | + | 0.639976i | \(0.778944\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.32307 | − | 4.02368i | 0.0756496 | − | 0.131029i | ||||
\(944\) | −9.07146 | −0.295251 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 5.62152 | 0.182771 | ||||||||
\(947\) | −17.0629 | + | 29.5538i | −0.554470 | + | 0.960369i | 0.443475 | + | 0.896287i | \(0.353745\pi\) |
−0.997945 | + | 0.0640827i | \(0.979588\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −31.4652 | − | 54.4993i | −1.02140 | − | 1.76912i | ||||
\(950\) | −0.748239 | + | 0.701289i | −0.0242761 | + | 0.0227528i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 13.3663 | − | 10.6217i | 0.433205 | − | 0.344252i | ||||
\(953\) | −44.3067 | −1.43523 | −0.717617 | − | 0.696438i | \(-0.754767\pi\) | ||||
−0.717617 | + | 0.696438i | \(0.754767\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.9080 | − | 21.4417i | −0.514771 | − | 0.693837i | ||||
\(956\) | 16.6807i | 0.539494i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 20.7765 | − | 35.9860i | 0.671258 | − | 1.16265i | ||||
\(959\) | 6.66171 | − | 16.8883i | 0.215118 | − | 0.545352i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0246 | + | 26.0234i | −0.484664 | + | 0.839463i | ||||
\(962\) | −29.9251 | − | 17.2773i | −0.964824 | − | 0.557042i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 24.5697 | − | 14.1853i | 0.791337 | − | 0.456879i | ||||
\(965\) | 27.6376 | − | 3.18430i | 0.889686 | − | 0.102506i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −14.0448 | − | 8.10875i | −0.451649 | − | 0.260760i | 0.256877 | − | 0.966444i | \(-0.417306\pi\) |
−0.708526 | + | 0.705684i | \(0.750640\pi\) | |||||||
\(968\) | −5.76292 | −0.185227 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −17.3999 | − | 7.53955i | −0.558677 | − | 0.242080i | ||||
\(971\) | −18.1313 | − | 31.4043i | −0.581861 | − | 1.00781i | −0.995259 | − | 0.0972627i | \(-0.968991\pi\) |
0.413397 | − | 0.910551i | \(-0.364342\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.44478 | − | 2.73744i | 0.110435 | − | 0.0877584i | ||||
\(974\) | 8.25200 | − | 4.76429i | 0.264411 | − | 0.152658i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.33757 | + | 5.39105i | −0.298888 | + | 0.172563i | ||||
\(977\) | −4.35317 | − | 7.53992i | −0.139270 | − | 0.241223i | 0.787950 | − | 0.615739i | \(-0.211142\pi\) |
−0.927221 | + | 0.374516i | \(0.877809\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 20.1721 | − | 11.6464i | 0.644704 | − | 0.372220i | ||||
\(980\) | −9.30644 | + | 12.5853i | −0.297283 | + | 0.402023i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −3.87273 | + | 2.23592i | −0.123584 | + | 0.0713512i | ||||
\(983\) | − | 11.1598i | − | 0.355943i | −0.984036 | − | 0.177972i | \(-0.943046\pi\) | ||
0.984036 | − | 0.177972i | \(-0.0569535\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 47.2852 | + | 20.4892i | 1.50663 | + | 0.652839i | ||||
\(986\) | 11.0052 | − | 19.0616i | 0.350478 | − | 0.607047i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.717793 | − | 0.414418i | 0.0228360 | − | 0.0131844i | ||||
\(989\) | 4.27279 | − | 2.46689i | 0.135867 | − | 0.0784427i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.4098 | + | 42.2790i | −0.775402 | + | 1.34304i | 0.159165 | + | 0.987252i | \(0.449120\pi\) |
−0.934568 | + | 0.355785i | \(0.884214\pi\) | |||||||
\(992\) | −0.844461 | − | 0.487550i | −0.0268117 | − | 0.0154797i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −22.8595 | + | 18.1656i | −0.725058 | + | 0.576178i | ||||
\(995\) | −10.7514 | − | 14.4913i | −0.340842 | − | 0.459406i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 17.9594 | 0.568779 | 0.284390 | − | 0.958709i | \(-0.408209\pi\) | ||||
0.284390 | + | 0.958709i | \(0.408209\pi\) | |||||||
\(998\) | −17.8598 | + | 30.9342i | −0.565343 | + | 0.979204i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1890.2.r.b.1529.22 | 48 | ||
3.2 | odd | 2 | 630.2.r.a.59.10 | ✓ | 48 | ||
5.4 | even | 2 | 1890.2.r.a.1529.22 | 48 | |||
7.5 | odd | 6 | 1890.2.bi.a.719.14 | 48 | |||
9.2 | odd | 6 | 1890.2.bi.b.899.19 | 48 | |||
9.7 | even | 3 | 630.2.bi.a.479.6 | yes | 48 | ||
15.14 | odd | 2 | 630.2.r.b.59.15 | yes | 48 | ||
21.5 | even | 6 | 630.2.bi.b.509.19 | yes | 48 | ||
35.19 | odd | 6 | 1890.2.bi.b.719.19 | 48 | |||
45.29 | odd | 6 | 1890.2.bi.a.899.14 | 48 | |||
45.34 | even | 6 | 630.2.bi.b.479.19 | yes | 48 | ||
63.47 | even | 6 | 1890.2.r.a.89.22 | 48 | |||
63.61 | odd | 6 | 630.2.r.b.299.15 | yes | 48 | ||
105.89 | even | 6 | 630.2.bi.a.509.6 | yes | 48 | ||
315.124 | odd | 6 | 630.2.r.a.299.10 | yes | 48 | ||
315.299 | even | 6 | inner | 1890.2.r.b.89.22 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.r.a.59.10 | ✓ | 48 | 3.2 | odd | 2 | ||
630.2.r.a.299.10 | yes | 48 | 315.124 | odd | 6 | ||
630.2.r.b.59.15 | yes | 48 | 15.14 | odd | 2 | ||
630.2.r.b.299.15 | yes | 48 | 63.61 | odd | 6 | ||
630.2.bi.a.479.6 | yes | 48 | 9.7 | even | 3 | ||
630.2.bi.a.509.6 | yes | 48 | 105.89 | even | 6 | ||
630.2.bi.b.479.19 | yes | 48 | 45.34 | even | 6 | ||
630.2.bi.b.509.19 | yes | 48 | 21.5 | even | 6 | ||
1890.2.r.a.89.22 | 48 | 63.47 | even | 6 | |||
1890.2.r.a.1529.22 | 48 | 5.4 | even | 2 | |||
1890.2.r.b.89.22 | 48 | 315.299 | even | 6 | inner | ||
1890.2.r.b.1529.22 | 48 | 1.1 | even | 1 | trivial | ||
1890.2.bi.a.719.14 | 48 | 7.5 | odd | 6 | |||
1890.2.bi.a.899.14 | 48 | 45.29 | odd | 6 | |||
1890.2.bi.b.719.19 | 48 | 35.19 | odd | 6 | |||
1890.2.bi.b.899.19 | 48 | 9.2 | odd | 6 |