Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 301.4 | ||
Character | \(\chi\) | \(=\) | 950.301 |
Dual form | 950.2.l.l.101.4 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | 0.845354 | − | 0.307684i | 0.488066 | − | 0.177641i | −0.0862529 | − | 0.996273i | \(-0.527489\pi\) |
0.574319 | + | 0.818632i | \(0.305267\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.845354 | − | 0.307684i | −0.345114 | − | 0.125611i | ||||
\(7\) | 1.06731 | + | 1.84863i | 0.403405 | + | 0.698718i | 0.994134 | − | 0.108152i | \(-0.0344932\pi\) |
−0.590729 | + | 0.806870i | \(0.701160\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −1.67818 | + | 1.40816i | −0.559393 | + | 0.469386i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.575411 | + | 0.996641i | −0.173493 | + | 0.300499i | −0.939639 | − | 0.342168i | \(-0.888839\pi\) |
0.766146 | + | 0.642667i | \(0.222172\pi\) | |||||||
\(12\) | 0.449804 | + | 0.779083i | 0.129847 | + | 0.224902i | ||||
\(13\) | 2.12509 | + | 0.773468i | 0.589393 | + | 0.214521i | 0.619462 | − | 0.785026i | \(-0.287351\pi\) |
−0.0300696 | + | 0.999548i | \(0.509573\pi\) | |||||||
\(14\) | 0.370673 | − | 2.10219i | 0.0990665 | − | 0.561834i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 0.0280660 | + | 0.0235502i | 0.00680700 | + | 0.00571175i | 0.646185 | − | 0.763181i | \(-0.276364\pi\) |
−0.639378 | + | 0.768893i | \(0.720808\pi\) | |||||||
\(18\) | 2.19071 | 0.516354 | ||||||||
\(19\) | −3.00691 | − | 3.15571i | −0.689832 | − | 0.723969i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.47105 | + | 1.23436i | 0.321009 | + | 0.269359i | ||||
\(22\) | 1.08142 | − | 0.393604i | 0.230559 | − | 0.0839167i | ||||
\(23\) | 1.40659 | + | 7.97719i | 0.293295 | + | 1.66336i | 0.674052 | + | 0.738684i | \(0.264552\pi\) |
−0.380757 | + | 0.924675i | \(0.624336\pi\) | |||||||
\(24\) | 0.156215 | − | 0.885940i | 0.0318873 | − | 0.180842i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.13073 | − | 1.95849i | −0.221755 | − | 0.384091i | ||||
\(27\) | −2.33480 | + | 4.04399i | −0.449332 | + | 0.778266i | ||||
\(28\) | −1.63521 | + | 1.37211i | −0.309026 | + | 0.259304i | ||||
\(29\) | −4.74371 | + | 3.98044i | −0.880884 | + | 0.739150i | −0.966361 | − | 0.257191i | \(-0.917203\pi\) |
0.0854764 | + | 0.996340i | \(0.472759\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.21180 | + | 3.83095i | 0.397251 | + | 0.688058i | 0.993386 | − | 0.114826i | \(-0.0366311\pi\) |
−0.596135 | + | 0.802884i | \(0.703298\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −0.179776 | + | 1.01956i | −0.0312950 | + | 0.177483i | ||||
\(34\) | −0.00636204 | − | 0.0360809i | −0.00109108 | − | 0.00618783i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.67818 | − | 1.40816i | −0.279696 | − | 0.234693i | ||||
\(37\) | 5.64857 | 0.928619 | 0.464310 | − | 0.885673i | \(-0.346302\pi\) | ||||
0.464310 | + | 0.885673i | \(0.346302\pi\) | |||||||
\(38\) | 0.274975 | + | 4.35022i | 0.0446068 | + | 0.705698i | ||||
\(39\) | 2.03443 | 0.325770 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.81864 | + | 2.84575i | −1.22107 | + | 0.444432i | −0.870529 | − | 0.492117i | \(-0.836223\pi\) |
−0.350537 | + | 0.936549i | \(0.614001\pi\) | |||||||
\(42\) | −0.333460 | − | 1.89115i | −0.0514540 | − | 0.291810i | ||||
\(43\) | 0.121234 | − | 0.687551i | 0.0184880 | − | 0.104851i | −0.974167 | − | 0.225827i | \(-0.927492\pi\) |
0.992655 | + | 0.120977i | \(0.0386026\pi\) | |||||||
\(44\) | −1.08142 | − | 0.393604i | −0.163030 | − | 0.0593381i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.05013 | − | 7.01502i | 0.597159 | − | 1.03431i | ||||
\(47\) | 5.57985 | − | 4.68205i | 0.813905 | − | 0.682947i | −0.137632 | − | 0.990483i | \(-0.543949\pi\) |
0.951536 | + | 0.307536i | \(0.0995045\pi\) | |||||||
\(48\) | −0.689139 | + | 0.578256i | −0.0994687 | + | 0.0834641i | ||||
\(49\) | 1.22170 | − | 2.11605i | 0.174528 | − | 0.302292i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0309717 | + | 0.0112728i | 0.00433691 | + | 0.00157850i | ||||
\(52\) | −0.392700 | + | 2.22711i | −0.0544577 | + | 0.308845i | ||||
\(53\) | 2.05103 | + | 11.6320i | 0.281730 | + | 1.59777i | 0.716736 | + | 0.697344i | \(0.245635\pi\) |
−0.435006 | + | 0.900428i | \(0.643254\pi\) | |||||||
\(54\) | 4.38799 | − | 1.59710i | 0.597129 | − | 0.217337i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.13462 | 0.285251 | ||||||||
\(57\) | −3.51286 | − | 1.74252i | −0.465290 | − | 0.230802i | ||||
\(58\) | 6.19247 | 0.813111 | ||||||||
\(59\) | 1.27093 | + | 1.06644i | 0.165462 | + | 0.138839i | 0.721759 | − | 0.692145i | \(-0.243334\pi\) |
−0.556297 | + | 0.830983i | \(0.687778\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.03441 | − | 5.86645i | −0.132443 | − | 0.751122i | −0.976606 | − | 0.215035i | \(-0.931013\pi\) |
0.844163 | − | 0.536086i | \(-0.180098\pi\) | |||||||
\(62\) | 0.768149 | − | 4.35639i | 0.0975550 | − | 0.553262i | ||||
\(63\) | −4.39431 | − | 1.59940i | −0.553631 | − | 0.201505i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.793077 | − | 0.665470i | 0.0976210 | − | 0.0819137i | ||||
\(67\) | −7.48620 | + | 6.28167i | −0.914585 | + | 0.767428i | −0.972986 | − | 0.230865i | \(-0.925844\pi\) |
0.0584009 | + | 0.998293i | \(0.481400\pi\) | |||||||
\(68\) | −0.0183188 | + | 0.0317290i | −0.00222148 | + | 0.00384771i | ||||
\(69\) | 3.64352 | + | 6.31077i | 0.438629 | + | 0.759727i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.70377 | + | 9.66255i | −0.202200 | + | 1.14673i | 0.699585 | + | 0.714549i | \(0.253368\pi\) |
−0.901785 | + | 0.432184i | \(0.857743\pi\) | |||||||
\(72\) | 0.380412 | + | 2.15742i | 0.0448320 | + | 0.254255i | ||||
\(73\) | 5.53912 | − | 2.01607i | 0.648305 | − | 0.235964i | 0.00312576 | − | 0.999995i | \(-0.499005\pi\) |
0.645179 | + | 0.764031i | \(0.276783\pi\) | |||||||
\(74\) | −4.32706 | − | 3.63083i | −0.503010 | − | 0.422076i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.58562 | − | 3.50921i | 0.296591 | − | 0.402534i | ||||
\(77\) | −2.45657 | −0.279952 | ||||||||
\(78\) | −1.55847 | − | 1.30771i | −0.176462 | − | 0.148069i | ||||
\(79\) | 8.50752 | − | 3.09648i | 0.957170 | − | 0.348382i | 0.184246 | − | 0.982880i | \(-0.441016\pi\) |
0.772924 | + | 0.634499i | \(0.218793\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.411775 | − | 2.33529i | 0.0457527 | − | 0.259477i | ||||
\(82\) | 7.81864 | + | 2.84575i | 0.863424 | + | 0.314261i | ||||
\(83\) | −2.73497 | − | 4.73712i | −0.300203 | − | 0.519966i | 0.675979 | − | 0.736921i | \(-0.263721\pi\) |
−0.976182 | + | 0.216955i | \(0.930388\pi\) | |||||||
\(84\) | −0.960160 | + | 1.66305i | −0.104762 | + | 0.181453i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.534820 | + | 0.448767i | −0.0576711 | + | 0.0483918i | ||||
\(87\) | −2.78540 | + | 4.82445i | −0.298626 | + | 0.517235i | ||||
\(88\) | 0.575411 | + | 0.996641i | 0.0613390 | + | 0.106242i | ||||
\(89\) | 6.65071 | + | 2.42066i | 0.704974 | + | 0.256589i | 0.669533 | − | 0.742782i | \(-0.266494\pi\) |
0.0354408 | + | 0.999372i | \(0.488716\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.838265 | + | 4.75404i | 0.0878740 | + | 0.498358i | ||||
\(92\) | −7.61175 | + | 2.77045i | −0.793580 | + | 0.288839i | ||||
\(93\) | 3.04847 | + | 2.55797i | 0.316112 | + | 0.265249i | ||||
\(94\) | −7.28398 | −0.751285 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.899607 | 0.0918158 | ||||||||
\(97\) | 6.34610 | + | 5.32501i | 0.644349 | + | 0.540673i | 0.905350 | − | 0.424666i | \(-0.139608\pi\) |
−0.261002 | + | 0.965338i | \(0.584053\pi\) | |||||||
\(98\) | −2.29604 | + | 0.835691i | −0.231935 | + | 0.0844176i | ||||
\(99\) | −0.437787 | − | 2.48281i | −0.0439992 | − | 0.249532i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.354959 | − | 0.129194i | −0.0353197 | − | 0.0128553i | 0.324300 | − | 0.945954i | \(-0.394871\pi\) |
−0.359620 | + | 0.933099i | \(0.617094\pi\) | |||||||
\(102\) | −0.0164797 | − | 0.0285437i | −0.00163173 | − | 0.00282624i | ||||
\(103\) | 6.90619 | − | 11.9619i | 0.680487 | − | 1.17864i | −0.294345 | − | 0.955699i | \(-0.595102\pi\) |
0.974832 | − | 0.222939i | \(-0.0715652\pi\) | |||||||
\(104\) | 1.73239 | − | 1.45364i | 0.169874 | − | 0.142542i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.90570 | − | 10.2290i | 0.573612 | − | 0.993525i | ||||
\(107\) | −3.23875 | − | 5.60969i | −0.313102 | − | 0.542309i | 0.665930 | − | 0.746014i | \(-0.268035\pi\) |
−0.979032 | + | 0.203705i | \(0.934702\pi\) | |||||||
\(108\) | −4.38799 | − | 1.59710i | −0.422234 | − | 0.153681i | ||||
\(109\) | −0.298211 | + | 1.69124i | −0.0285634 | + | 0.161991i | −0.995753 | − | 0.0920643i | \(-0.970653\pi\) |
0.967190 | + | 0.254056i | \(0.0817646\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.77504 | − | 1.73797i | 0.453227 | − | 0.164961i | ||||
\(112\) | −1.63521 | − | 1.37211i | −0.154513 | − | 0.129652i | ||||
\(113\) | 6.92537 | 0.651484 | 0.325742 | − | 0.945459i | \(-0.394386\pi\) | ||||
0.325742 | + | 0.945459i | \(0.394386\pi\) | |||||||
\(114\) | 1.57094 | + | 3.59287i | 0.147132 | + | 0.336503i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.74371 | − | 3.98044i | −0.440442 | − | 0.369575i | ||||
\(117\) | −4.65544 | + | 1.69444i | −0.430395 | + | 0.156651i | ||||
\(118\) | −0.288097 | − | 1.63388i | −0.0265215 | − | 0.150411i | ||||
\(119\) | −0.0135805 | + | 0.0770191i | −0.00124493 | + | 0.00706033i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.83780 | + | 8.37932i | 0.439800 | + | 0.761757i | ||||
\(122\) | −2.97847 | + | 5.15887i | −0.269658 | + | 0.467062i | ||||
\(123\) | −5.73393 | + | 4.81134i | −0.517011 | + | 0.433824i | ||||
\(124\) | −3.38867 | + | 2.84343i | −0.304312 | + | 0.255348i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 2.33816 | + | 4.04982i | 0.208300 | + | 0.360786i | ||||
\(127\) | 13.7727 | + | 5.01285i | 1.22213 | + | 0.444818i | 0.870895 | − | 0.491470i | \(-0.163540\pi\) |
0.351234 | + | 0.936288i | \(0.385762\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −0.109063 | − | 0.618526i | −0.00960245 | − | 0.0544582i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.95429 | + | 3.31804i | 0.345488 | + | 0.289899i | 0.798975 | − | 0.601364i | \(-0.205376\pi\) |
−0.453487 | + | 0.891263i | \(0.649820\pi\) | |||||||
\(132\) | −1.03529 | −0.0901103 | ||||||||
\(133\) | 2.62445 | − | 8.92680i | 0.227569 | − | 0.774051i | ||||
\(134\) | 9.77254 | 0.844219 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.0344280 | − | 0.0125308i | 0.00295218 | − | 0.00107451i | ||||
\(137\) | −2.64600 | − | 15.0062i | −0.226063 | − | 1.28207i | −0.860643 | − | 0.509209i | \(-0.829938\pi\) |
0.634580 | − | 0.772857i | \(-0.281173\pi\) | |||||||
\(138\) | 1.26538 | − | 7.17634i | 0.107717 | − | 0.610891i | ||||
\(139\) | 9.21476 | + | 3.35390i | 0.781586 | + | 0.284474i | 0.701834 | − | 0.712341i | \(-0.252365\pi\) |
0.0797522 | + | 0.996815i | \(0.474587\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.27636 | − | 5.67482i | 0.275919 | − | 0.477906i | ||||
\(142\) | 7.51613 | − | 6.30678i | 0.630740 | − | 0.529253i | ||||
\(143\) | −1.99367 | + | 1.67289i | −0.166719 | + | 0.139894i | ||||
\(144\) | 1.09535 | − | 1.89721i | 0.0912794 | − | 0.158101i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −5.53912 | − | 2.01607i | −0.458421 | − | 0.166851i | ||||
\(147\) | 0.381696 | − | 2.16471i | 0.0314817 | − | 0.178542i | ||||
\(148\) | 0.980864 | + | 5.56276i | 0.0806265 | + | 0.457256i | ||||
\(149\) | −20.8349 | + | 7.58328i | −1.70686 | + | 0.621246i | −0.996577 | − | 0.0826704i | \(-0.973655\pi\) |
−0.710283 | + | 0.703917i | \(0.751433\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.5102 | −1.42496 | −0.712482 | − | 0.701691i | \(-0.752429\pi\) | ||||
−0.712482 | + | 0.701691i | \(0.752429\pi\) | |||||||
\(152\) | −4.23638 | + | 1.02620i | −0.343616 | + | 0.0832362i | ||||
\(153\) | −0.0802621 | −0.00648881 | ||||||||
\(154\) | 1.88184 | + | 1.57905i | 0.151643 | + | 0.127244i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.353276 | + | 2.00353i | 0.0282847 | + | 0.160410i | ||||
\(157\) | 3.67952 | − | 20.8676i | 0.293657 | − | 1.66541i | −0.378952 | − | 0.925416i | \(-0.623716\pi\) |
0.672610 | − | 0.739997i | \(-0.265173\pi\) | |||||||
\(158\) | −8.50752 | − | 3.09648i | −0.676822 | − | 0.246343i | ||||
\(159\) | 5.31281 | + | 9.20206i | 0.421333 | + | 0.729771i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.2456 | + | 11.1144i | −1.04390 | + | 0.875939i | ||||
\(162\) | −1.81653 | + | 1.52425i | −0.142720 | + | 0.119757i | ||||
\(163\) | −4.80181 | + | 8.31699i | −0.376107 | + | 0.651437i | −0.990492 | − | 0.137570i | \(-0.956071\pi\) |
0.614385 | + | 0.789006i | \(0.289404\pi\) | |||||||
\(164\) | −4.16021 | − | 7.20569i | −0.324858 | − | 0.562670i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.949847 | + | 5.38685i | −0.0737224 | + | 0.418101i | ||||
\(167\) | −1.24764 | − | 7.07571i | −0.0965451 | − | 0.547535i | −0.994263 | − | 0.106964i | \(-0.965887\pi\) |
0.897718 | − | 0.440571i | \(-0.145224\pi\) | |||||||
\(168\) | 1.80451 | − | 0.656788i | 0.139221 | − | 0.0506723i | ||||
\(169\) | −6.04084 | − | 5.06887i | −0.464680 | − | 0.389913i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 9.48987 | + | 1.06164i | 0.725708 | + | 0.0811855i | ||||
\(172\) | 0.698158 | 0.0532340 | ||||||||
\(173\) | −19.4568 | − | 16.3262i | −1.47927 | − | 1.24126i | −0.906957 | − | 0.421224i | \(-0.861601\pi\) |
−0.572316 | − | 0.820033i | \(-0.693955\pi\) | |||||||
\(174\) | 5.23483 | − | 1.90532i | 0.396852 | − | 0.144442i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.199838 | − | 1.13334i | 0.0150634 | − | 0.0854286i | ||||
\(177\) | 1.40252 | + | 0.510474i | 0.105420 | + | 0.0383696i | ||||
\(178\) | −3.53877 | − | 6.12933i | −0.265242 | − | 0.459412i | ||||
\(179\) | 5.27690 | − | 9.13986i | 0.394414 | − | 0.683145i | −0.598612 | − | 0.801039i | \(-0.704281\pi\) |
0.993026 | + | 0.117894i | \(0.0376143\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.332674 | + | 0.279147i | −0.0247275 | + | 0.0207488i | −0.655068 | − | 0.755570i | \(-0.727360\pi\) |
0.630340 | + | 0.776319i | \(0.282915\pi\) | |||||||
\(182\) | 2.41369 | − | 4.18063i | 0.178914 | − | 0.309889i | ||||
\(183\) | −2.67946 | − | 4.64096i | −0.198071 | − | 0.343069i | ||||
\(184\) | 7.61175 | + | 2.77045i | 0.561145 | + | 0.204240i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.691033 | − | 3.91904i | −0.0506690 | − | 0.287358i | ||||
\(187\) | −0.0396205 | + | 0.0144207i | −0.00289734 | + | 0.00105455i | ||||
\(188\) | 5.57985 | + | 4.68205i | 0.406952 | + | 0.341474i | ||||
\(189\) | −9.96782 | −0.725052 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 26.4706 | 1.91534 | 0.957672 | − | 0.287861i | \(-0.0929443\pi\) | ||||
0.957672 | + | 0.287861i | \(0.0929443\pi\) | |||||||
\(192\) | −0.689139 | − | 0.578256i | −0.0497343 | − | 0.0417321i | ||||
\(193\) | −11.2801 | + | 4.10561i | −0.811957 | + | 0.295528i | −0.714432 | − | 0.699705i | \(-0.753315\pi\) |
−0.0975250 | + | 0.995233i | \(0.531093\pi\) | |||||||
\(194\) | −1.43854 | − | 8.15839i | −0.103281 | − | 0.585738i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.29604 | + | 0.835691i | 0.164003 | + | 0.0596922i | ||||
\(197\) | 12.1859 | + | 21.1067i | 0.868212 | + | 1.50379i | 0.863822 | + | 0.503796i | \(0.168064\pi\) |
0.00438927 | + | 0.999990i | \(0.498603\pi\) | |||||||
\(198\) | −1.26056 | + | 2.18335i | −0.0895839 | + | 0.155164i | ||||
\(199\) | 0.197234 | − | 0.165499i | 0.0139815 | − | 0.0117319i | −0.635770 | − | 0.771878i | \(-0.719317\pi\) |
0.649752 | + | 0.760147i | \(0.274873\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.39572 | + | 7.61362i | −0.310050 | + | 0.537023i | ||||
\(202\) | 0.188870 | + | 0.327132i | 0.0132888 | + | 0.0230169i | ||||
\(203\) | −12.4214 | − | 4.52102i | −0.871811 | − | 0.317313i | ||||
\(204\) | −0.00572334 | + | 0.0324587i | −0.000400714 | + | 0.00227256i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −12.9794 | + | 4.72411i | −0.904317 | + | 0.329145i | ||||
\(207\) | −13.5937 | − | 11.4064i | −0.944825 | − | 0.792803i | ||||
\(208\) | −2.26147 | −0.156805 | ||||||||
\(209\) | 4.87532 | − | 1.18098i | 0.337233 | − | 0.0816900i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.05853 | + | 1.72731i | 0.141715 | + | 0.118913i | 0.710889 | − | 0.703304i | \(-0.248293\pi\) |
−0.569175 | + | 0.822217i | \(0.692737\pi\) | |||||||
\(212\) | −11.0991 | + | 4.03974i | −0.762288 | + | 0.277450i | ||||
\(213\) | 1.53272 | + | 8.69250i | 0.105020 | + | 0.595600i | ||||
\(214\) | −1.12481 | + | 6.37910i | −0.0768903 | + | 0.436066i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.33480 | + | 4.04399i | 0.158863 | + | 0.275159i | ||||
\(217\) | −4.72135 | + | 8.17761i | −0.320506 | + | 0.555132i | ||||
\(218\) | 1.31555 | − | 1.10388i | 0.0891003 | − | 0.0747640i | ||||
\(219\) | 4.06220 | − | 3.40859i | 0.274498 | − | 0.230331i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.0414273 | + | 0.0717542i | 0.00278670 | + | 0.00482671i | ||||
\(222\) | −4.77504 | − | 1.73797i | −0.320480 | − | 0.116645i | ||||
\(223\) | 1.06235 | − | 6.02489i | 0.0711403 | − | 0.403457i | −0.928355 | − | 0.371694i | \(-0.878777\pi\) |
0.999495 | − | 0.0317623i | \(-0.0101120\pi\) | |||||||
\(224\) | 0.370673 | + | 2.10219i | 0.0247666 | + | 0.140458i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.30514 | − | 4.45154i | −0.352893 | − | 0.296112i | ||||
\(227\) | −0.981843 | −0.0651672 | −0.0325836 | − | 0.999469i | \(-0.510374\pi\) | ||||
−0.0325836 | + | 0.999469i | \(0.510374\pi\) | |||||||
\(228\) | 1.10604 | − | 3.76208i | 0.0732493 | − | 0.249150i | ||||
\(229\) | −20.0859 | −1.32731 | −0.663657 | − | 0.748037i | \(-0.730997\pi\) | ||||
−0.663657 | + | 0.748037i | \(0.730997\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.07667 | + | 0.755846i | −0.136635 | + | 0.0497310i | ||||
\(232\) | 1.07531 | + | 6.09839i | 0.0705976 | + | 0.400379i | ||||
\(233\) | 2.79441 | − | 15.8479i | 0.183068 | − | 1.03823i | −0.745345 | − | 0.666679i | \(-0.767715\pi\) |
0.928413 | − | 0.371550i | \(-0.121174\pi\) | |||||||
\(234\) | 4.65544 | + | 1.69444i | 0.304336 | + | 0.110769i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.829543 | + | 1.43681i | −0.0539987 | + | 0.0935284i | ||||
\(237\) | 6.23913 | − | 5.23525i | 0.405275 | − | 0.340066i | ||||
\(238\) | 0.0599102 | − | 0.0502706i | 0.00388340 | − | 0.00325856i | ||||
\(239\) | 4.29381 | − | 7.43711i | 0.277744 | − | 0.481066i | −0.693080 | − | 0.720861i | \(-0.743747\pi\) |
0.970824 | + | 0.239794i | \(0.0770800\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.1897 | − | 4.07273i | −0.720793 | − | 0.262347i | −0.0445308 | − | 0.999008i | \(-0.514179\pi\) |
−0.676263 | + | 0.736661i | \(0.736401\pi\) | |||||||
\(242\) | 1.68015 | − | 9.52861i | 0.108004 | − | 0.612523i | ||||
\(243\) | −2.80304 | − | 15.8968i | −0.179815 | − | 1.01978i | ||||
\(244\) | 5.59770 | − | 2.03740i | 0.358356 | − | 0.130431i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 7.48511 | 0.477233 | ||||||||
\(247\) | −3.94910 | − | 9.03190i | −0.251275 | − | 0.574686i | ||||
\(248\) | 4.42359 | 0.280899 | ||||||||
\(249\) | −3.76956 | − | 3.16303i | −0.238886 | − | 0.200449i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.11493 | − | 17.6657i | −0.196613 | − | 1.11505i | −0.910103 | − | 0.414382i | \(-0.863998\pi\) |
0.713490 | − | 0.700665i | \(-0.247113\pi\) | |||||||
\(252\) | 0.812035 | − | 4.60528i | 0.0511534 | − | 0.290105i | ||||
\(253\) | −8.75977 | − | 3.18829i | −0.550722 | − | 0.200446i | ||||
\(254\) | −7.32829 | − | 12.6930i | −0.459818 | − | 0.796428i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −20.8725 | + | 17.5141i | −1.30199 | + | 1.09250i | −0.312197 | + | 0.950018i | \(0.601065\pi\) |
−0.989797 | + | 0.142485i | \(0.954491\pi\) | |||||||
\(258\) | −0.314034 | + | 0.543923i | −0.0195509 | + | 0.0338632i | ||||
\(259\) | 6.02878 | + | 10.4421i | 0.374610 | + | 0.648843i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.35569 | − | 13.3598i | 0.145814 | − | 0.826950i | ||||
\(262\) | −0.896365 | − | 5.08354i | −0.0553776 | − | 0.314062i | ||||
\(263\) | 0.470923 | − | 0.171402i | 0.0290384 | − | 0.0105691i | −0.327460 | − | 0.944865i | \(-0.606193\pi\) |
0.356498 | + | 0.934296i | \(0.383970\pi\) | |||||||
\(264\) | 0.793077 | + | 0.665470i | 0.0488105 | + | 0.0409569i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −7.74848 | + | 5.15136i | −0.475090 | + | 0.315850i | ||||
\(267\) | 6.36700 | 0.389654 | ||||||||
\(268\) | −7.48620 | − | 6.28167i | −0.457292 | − | 0.383714i | ||||
\(269\) | −19.3314 | + | 7.03604i | −1.17865 | + | 0.428995i | −0.855726 | − | 0.517429i | \(-0.826889\pi\) |
−0.322928 | + | 0.946424i | \(0.604667\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.87357 | − | 10.6255i | 0.113811 | − | 0.645456i | −0.873521 | − | 0.486787i | \(-0.838169\pi\) |
0.987332 | − | 0.158669i | \(-0.0507202\pi\) | |||||||
\(272\) | −0.0344280 | − | 0.0125308i | −0.00208751 | − | 0.000759790i | ||||
\(273\) | 2.17137 | + | 3.76093i | 0.131417 | + | 0.227622i | ||||
\(274\) | −7.61885 | + | 13.1962i | −0.460272 | + | 0.797214i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −5.58220 | + | 4.68402i | −0.336009 | + | 0.281945i | ||||
\(277\) | −10.0957 | + | 17.4863i | −0.606594 | + | 1.05065i | 0.385203 | + | 0.922832i | \(0.374131\pi\) |
−0.991797 | + | 0.127820i | \(0.959202\pi\) | |||||||
\(278\) | −4.90307 | − | 8.49237i | −0.294067 | − | 0.509339i | ||||
\(279\) | −9.10637 | − | 3.31445i | −0.545184 | − | 0.198431i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.196386 | − | 1.11376i | −0.0117154 | − | 0.0664415i | 0.978390 | − | 0.206770i | \(-0.0662952\pi\) |
−0.990105 | + | 0.140329i | \(0.955184\pi\) | |||||||
\(282\) | −6.15754 | + | 2.24116i | −0.366676 | + | 0.133459i | ||||
\(283\) | 5.78772 | + | 4.85647i | 0.344044 | + | 0.288687i | 0.798393 | − | 0.602136i | \(-0.205684\pi\) |
−0.454349 | + | 0.890824i | \(0.650128\pi\) | |||||||
\(284\) | −9.81161 | −0.582212 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.60255 | 0.153892 | ||||||||
\(287\) | −13.6057 | − | 11.4165i | −0.803117 | − | 0.673895i | ||||
\(288\) | −2.05859 | + | 0.749266i | −0.121304 | + | 0.0441509i | ||||
\(289\) | −2.95179 | − | 16.7404i | −0.173634 | − | 0.984730i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.00312 | + | 2.54893i | 0.410530 | + | 0.149421i | ||||
\(292\) | 2.94730 | + | 5.10488i | 0.172478 | + | 0.298740i | ||||
\(293\) | 8.42459 | − | 14.5918i | 0.492170 | − | 0.852463i | −0.507790 | − | 0.861481i | \(-0.669537\pi\) |
0.999959 | + | 0.00901811i | \(0.00287059\pi\) | |||||||
\(294\) | −1.68384 | + | 1.41291i | −0.0982036 | + | 0.0824026i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.82429 | − | 4.89181i | 0.164158 | − | 0.284330i | ||||
\(297\) | −2.68694 | − | 4.65391i | −0.155912 | − | 0.270047i | ||||
\(298\) | 20.8349 | + | 7.58328i | 1.20693 | + | 0.439287i | ||||
\(299\) | −3.18097 | + | 18.0402i | −0.183960 | + | 1.04329i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.40043 | − | 0.509713i | 0.0807192 | − | 0.0293794i | ||||
\(302\) | 13.4136 | + | 11.2554i | 0.771867 | + | 0.647674i | ||||
\(303\) | −0.339817 | −0.0195220 | ||||||||
\(304\) | 3.90489 | + | 1.93697i | 0.223961 | + | 0.111093i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.0614843 | + | 0.0515915i | 0.00351483 | + | 0.00294929i | ||||
\(307\) | 18.3440 | − | 6.67668i | 1.04695 | − | 0.381058i | 0.239439 | − | 0.970911i | \(-0.423037\pi\) |
0.807511 | + | 0.589853i | \(0.200814\pi\) | |||||||
\(308\) | −0.426578 | − | 2.41925i | −0.0243066 | − | 0.137849i | ||||
\(309\) | 2.15770 | − | 12.2369i | 0.122747 | − | 0.696136i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.0432 | − | 27.7876i | −0.909725 | − | 1.57569i | −0.814446 | − | 0.580239i | \(-0.802959\pi\) |
−0.0952788 | − | 0.995451i | \(-0.530374\pi\) | |||||||
\(312\) | 1.01722 | − | 1.76187i | 0.0575886 | − | 0.0997463i | ||||
\(313\) | 4.98909 | − | 4.18634i | 0.282000 | − | 0.236626i | −0.490805 | − | 0.871269i | \(-0.663297\pi\) |
0.772805 | + | 0.634643i | \(0.218853\pi\) | |||||||
\(314\) | −16.2321 | + | 13.6203i | −0.916030 | + | 0.768640i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.52676 | + | 7.84057i | 0.254650 | + | 0.441067i | ||||
\(317\) | −7.23292 | − | 2.63257i | −0.406241 | − | 0.147860i | 0.130814 | − | 0.991407i | \(-0.458241\pi\) |
−0.537055 | + | 0.843547i | \(0.680463\pi\) | |||||||
\(318\) | 1.84512 | − | 10.4642i | 0.103469 | − | 0.586803i | ||||
\(319\) | −1.23749 | − | 7.01816i | −0.0692862 | − | 0.392942i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.46391 | − | 3.74566i | −0.249151 | − | 0.209062i | ||||
\(322\) | 17.2910 | 0.963588 | ||||||||
\(323\) | −0.0100744 | − | 0.159381i | −0.000560554 | − | 0.00886821i | ||||
\(324\) | 2.37131 | 0.131740 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9.02446 | − | 3.28463i | 0.499819 | − | 0.181919i | ||||
\(327\) | 0.268273 | + | 1.52145i | 0.0148355 | + | 0.0841364i | ||||
\(328\) | −1.44483 | + | 8.19401i | −0.0797771 | + | 0.452439i | ||||
\(329\) | 14.6108 | + | 5.31791i | 0.805521 | + | 0.293186i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0884 | − | 17.4736i | 0.554508 | − | 0.960436i | −0.443433 | − | 0.896307i | \(-0.646240\pi\) |
0.997942 | − | 0.0641290i | \(-0.0204269\pi\) | |||||||
\(332\) | 4.19022 | − | 3.51602i | 0.229968 | − | 0.192966i | ||||
\(333\) | −9.47931 | + | 7.95409i | −0.519463 | + | 0.435881i | ||||
\(334\) | −3.59243 | + | 6.22227i | −0.196569 | + | 0.340468i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.80451 | − | 0.656788i | −0.0984441 | − | 0.0358307i | ||||
\(337\) | 1.24455 | − | 7.05822i | 0.0677952 | − | 0.384486i | −0.931964 | − | 0.362550i | \(-0.881906\pi\) |
0.999759 | − | 0.0219353i | \(-0.00698280\pi\) | |||||||
\(338\) | 1.36935 | + | 7.76596i | 0.0744827 | + | 0.422412i | ||||
\(339\) | 5.85439 | − | 2.13083i | 0.317967 | − | 0.115731i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.09077 | −0.275681 | ||||||||
\(342\) | −6.58725 | − | 6.91323i | −0.356198 | − | 0.373825i | ||||
\(343\) | 20.1581 | 1.08843 | ||||||||
\(344\) | −0.534820 | − | 0.448767i | −0.0288356 | − | 0.0241959i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.41050 | + | 25.0132i | 0.237110 | + | 1.34472i | ||||
\(347\) | −1.29390 | + | 7.33806i | −0.0694601 | + | 0.393928i | 0.930180 | + | 0.367104i | \(0.119651\pi\) |
−0.999640 | + | 0.0268241i | \(0.991461\pi\) | |||||||
\(348\) | −5.23483 | − | 1.90532i | −0.280616 | − | 0.102136i | ||||
\(349\) | −13.0654 | − | 22.6299i | −0.699373 | − | 1.21135i | −0.968684 | − | 0.248297i | \(-0.920129\pi\) |
0.269311 | − | 0.963053i | \(-0.413204\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −8.08954 | + | 6.78793i | −0.431788 | + | 0.362313i | ||||
\(352\) | −0.881581 | + | 0.739734i | −0.0469884 | + | 0.0394280i | ||||
\(353\) | −7.03480 | + | 12.1846i | −0.374425 | + | 0.648523i | −0.990241 | − | 0.139367i | \(-0.955493\pi\) |
0.615816 | + | 0.787890i | \(0.288826\pi\) | |||||||
\(354\) | −0.746263 | − | 1.29257i | −0.0396634 | − | 0.0686991i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.22900 | + | 6.97001i | −0.0651369 | + | 0.369410i | ||||
\(357\) | 0.0122172 | + | 0.0692869i | 0.000646600 | + | 0.00366705i | ||||
\(358\) | −9.91733 | + | 3.60961i | −0.524147 | + | 0.190774i | ||||
\(359\) | 21.4311 | + | 17.9828i | 1.13109 | + | 0.949097i | 0.999111 | − | 0.0421551i | \(-0.0134224\pi\) |
0.131979 | + | 0.991252i | \(0.457867\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.917004 | + | 18.9779i | −0.0482634 | + | 0.998835i | ||||
\(362\) | 0.434275 | 0.0228250 | ||||||||
\(363\) | 6.66784 | + | 5.59498i | 0.349971 | + | 0.293660i | ||||
\(364\) | −4.53625 | + | 1.65106i | −0.237764 | + | 0.0865390i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.930566 | + | 5.27750i | −0.0486414 | + | 0.275859i | ||||
\(367\) | 23.8004 | + | 8.66262i | 1.24237 | + | 0.452185i | 0.877816 | − | 0.478998i | \(-0.159000\pi\) |
0.364552 | + | 0.931183i | \(0.381222\pi\) | |||||||
\(368\) | −4.05013 | − | 7.01502i | −0.211127 | − | 0.365683i | ||||
\(369\) | 9.11380 | − | 15.7856i | 0.474445 | − | 0.821763i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −19.3142 | + | 16.2065i | −1.00274 | + | 0.841400i | ||||
\(372\) | −1.98975 | + | 3.44635i | −0.103164 | + | 0.178685i | ||||
\(373\) | 10.6981 | + | 18.5296i | 0.553925 | + | 0.959427i | 0.997986 | + | 0.0634302i | \(0.0202040\pi\) |
−0.444061 | + | 0.895997i | \(0.646463\pi\) | |||||||
\(374\) | 0.0396205 | + | 0.0144207i | 0.00204873 | + | 0.000745676i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.26485 | − | 7.17332i | −0.0652296 | − | 0.369936i | ||||
\(377\) | −13.1595 | + | 4.78968i | −0.677750 | + | 0.246681i | ||||
\(378\) | 7.63579 | + | 6.40719i | 0.392743 | + | 0.329550i | ||||
\(379\) | 37.8831 | 1.94592 | 0.972961 | − | 0.230968i | \(-0.0741894\pi\) | ||||
0.972961 | + | 0.230968i | \(0.0741894\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.1852 | 0.675497 | ||||||||
\(382\) | −20.2776 | − | 17.0150i | −1.03749 | − | 0.870561i | ||||
\(383\) | −3.09921 | + | 1.12802i | −0.158362 | + | 0.0576391i | −0.419985 | − | 0.907531i | \(-0.637965\pi\) |
0.261623 | + | 0.965170i | \(0.415742\pi\) | |||||||
\(384\) | 0.156215 | + | 0.885940i | 0.00797182 | + | 0.0452105i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.2801 | + | 4.10561i | 0.574140 | + | 0.208970i | ||||
\(387\) | 0.764730 | + | 1.32455i | 0.0388734 | + | 0.0673307i | ||||
\(388\) | −4.14212 | + | 7.17436i | −0.210284 | + | 0.364223i | ||||
\(389\) | 3.32824 | − | 2.79272i | 0.168748 | − | 0.141597i | −0.554503 | − | 0.832182i | \(-0.687091\pi\) |
0.723251 | + | 0.690585i | \(0.242647\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.148387 | + | 0.257013i | −0.00750424 | + | 0.0129977i | ||||
\(392\) | −1.22170 | − | 2.11605i | −0.0617051 | − | 0.106876i | ||||
\(393\) | 4.36368 | + | 1.58825i | 0.220119 | + | 0.0801167i | ||||
\(394\) | 4.23213 | − | 24.0016i | 0.213212 | − | 1.20918i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 2.36907 | − | 0.862272i | 0.119050 | − | 0.0433308i | ||||
\(397\) | 19.8582 | + | 16.6630i | 0.996654 | + | 0.836292i | 0.986517 | − | 0.163656i | \(-0.0523289\pi\) |
0.0101368 | + | 0.999949i | \(0.496773\pi\) | |||||||
\(398\) | −0.257470 | −0.0129058 | ||||||||
\(399\) | −0.528039 | − | 8.35381i | −0.0264350 | − | 0.418213i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.96077 | + | 2.48438i | 0.147854 | + | 0.124064i | 0.713714 | − | 0.700437i | \(-0.247011\pi\) |
−0.565861 | + | 0.824501i | \(0.691456\pi\) | |||||||
\(402\) | 8.26126 | − | 3.00685i | 0.412034 | − | 0.149968i | ||||
\(403\) | 1.73715 | + | 9.85184i | 0.0865334 | + | 0.490755i | ||||
\(404\) | 0.0655937 | − | 0.372001i | 0.00326341 | − | 0.0185077i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.60928 | + | 11.4476i | 0.328013 | + | 0.568136i | ||||
\(407\) | −3.25025 | + | 5.62960i | −0.161109 | + | 0.279049i | ||||
\(408\) | 0.0252484 | − | 0.0211859i | 0.00124998 | − | 0.00104886i | ||||
\(409\) | −6.68991 | + | 5.61350i | −0.330795 | + | 0.277570i | −0.793024 | − | 0.609191i | \(-0.791494\pi\) |
0.462229 | + | 0.886761i | \(0.347050\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.85398 | − | 11.8714i | −0.338082 | − | 0.585575i | ||||
\(412\) | 12.9794 | + | 4.72411i | 0.639449 | + | 0.232740i | ||||
\(413\) | −0.614978 | + | 3.48772i | −0.0302611 | + | 0.171619i | ||||
\(414\) | 3.08143 | + | 17.4757i | 0.151444 | + | 0.858883i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.73239 | + | 1.45364i | 0.0849372 | + | 0.0712708i | ||||
\(417\) | 8.82168 | 0.432000 | ||||||||
\(418\) | −4.49383 | − | 2.22911i | −0.219800 | − | 0.109029i | ||||
\(419\) | 1.35441 | 0.0661673 | 0.0330836 | − | 0.999453i | \(-0.489467\pi\) | ||||
0.0330836 | + | 0.999453i | \(0.489467\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.38379 | − | 0.867629i | 0.116179 | − | 0.0422856i | −0.283277 | − | 0.959038i | \(-0.591421\pi\) |
0.399455 | + | 0.916753i | \(0.369199\pi\) | |||||||
\(422\) | −0.466630 | − | 2.64639i | −0.0227152 | − | 0.128824i | ||||
\(423\) | −2.77091 | + | 15.7146i | −0.134726 | + | 0.764072i | ||||
\(424\) | 11.0991 | + | 4.03974i | 0.539019 | + | 0.196187i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4.41330 | − | 7.64406i | 0.213825 | − | 0.370356i | ||||
\(427\) | 9.74088 | − | 8.17357i | 0.471394 | − | 0.395547i | ||||
\(428\) | 4.96206 | − | 4.16366i | 0.239850 | − | 0.201258i | ||||
\(429\) | −1.17064 | + | 2.02760i | −0.0565188 | + | 0.0978935i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.9605 | + | 5.08122i | 0.672455 | + | 0.244754i | 0.655605 | − | 0.755104i | \(-0.272414\pi\) |
0.0168504 | + | 0.999858i | \(0.494636\pi\) | |||||||
\(432\) | 0.810867 | − | 4.59866i | 0.0390129 | − | 0.221253i | ||||
\(433\) | −0.474466 | − | 2.69083i | −0.0228014 | − | 0.129313i | 0.971282 | − | 0.237930i | \(-0.0764689\pi\) |
−0.994084 | + | 0.108617i | \(0.965358\pi\) | |||||||
\(434\) | 8.87323 | − | 3.22959i | 0.425929 | − | 0.155025i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.71733 | −0.0822451 | ||||||||
\(437\) | 20.9442 | − | 28.4255i | 1.00190 | − | 1.35978i | ||||
\(438\) | −5.30283 | −0.253379 | ||||||||
\(439\) | 22.0695 | + | 18.5185i | 1.05332 | + | 0.883839i | 0.993439 | − | 0.114366i | \(-0.0364837\pi\) |
0.0598800 | + | 0.998206i | \(0.480928\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.929499 | + | 5.27145i | 0.0442618 | + | 0.251021i | ||||
\(442\) | 0.0143876 | − | 0.0815959i | 0.000684346 | − | 0.00388112i | ||||
\(443\) | 12.8763 | + | 4.68659i | 0.611772 | + | 0.222667i | 0.629278 | − | 0.777180i | \(-0.283351\pi\) |
−0.0175066 | + | 0.999847i | \(0.505573\pi\) | |||||||
\(444\) | 2.54075 | + | 4.40070i | 0.120579 | + | 0.208848i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −4.68654 | + | 3.93247i | −0.221914 | + | 0.186208i | ||||
\(447\) | −15.2796 | + | 12.8211i | −0.722700 | + | 0.606418i | ||||
\(448\) | 1.06731 | − | 1.84863i | 0.0504257 | − | 0.0873398i | ||||
\(449\) | 10.4586 | + | 18.1148i | 0.493572 | + | 0.854891i | 0.999973 | − | 0.00740712i | \(-0.00235778\pi\) |
−0.506401 | + | 0.862298i | \(0.669024\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.66274 | − | 9.42985i | 0.0782952 | − | 0.444034i | ||||
\(452\) | 1.20258 | + | 6.82016i | 0.0565645 | + | 0.320793i | ||||
\(453\) | −14.8024 | + | 5.38762i | −0.695476 | + | 0.253132i | ||||
\(454\) | 0.752136 | + | 0.631117i | 0.0352995 | + | 0.0296198i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.26549 | + | 2.17097i | −0.152921 | + | 0.101665i | ||||
\(457\) | 40.8499 | 1.91088 | 0.955438 | − | 0.295190i | \(-0.0953831\pi\) | ||||
0.955438 | + | 0.295190i | \(0.0953831\pi\) | |||||||
\(458\) | 15.3867 | + | 12.9110i | 0.718973 | + | 0.603290i | ||||
\(459\) | −0.160765 | + | 0.0585137i | −0.00750387 | + | 0.00273118i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 5.01978 | − | 28.4686i | 0.233794 | − | 1.32591i | −0.611344 | − | 0.791365i | \(-0.709371\pi\) |
0.845138 | − | 0.534548i | \(-0.179518\pi\) | |||||||
\(462\) | 2.07667 | + | 0.755846i | 0.0966154 | + | 0.0351651i | ||||
\(463\) | 16.0908 | + | 27.8701i | 0.747803 | + | 1.29523i | 0.948874 | + | 0.315656i | \(0.102224\pi\) |
−0.201071 | + | 0.979577i | \(0.564442\pi\) | |||||||
\(464\) | 3.09623 | − | 5.36284i | 0.143739 | − | 0.248963i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.3275 | + | 10.3440i | −0.571059 | + | 0.479175i | ||||
\(467\) | −18.4169 | + | 31.8990i | −0.852232 | + | 1.47611i | 0.0269574 | + | 0.999637i | \(0.491418\pi\) |
−0.879189 | + | 0.476472i | \(0.841915\pi\) | |||||||
\(468\) | −2.47711 | − | 4.29048i | −0.114504 | − | 0.198327i | ||||
\(469\) | −19.6026 | − | 7.13476i | −0.905164 | − | 0.329453i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.31012 | − | 18.7726i | −0.152522 | − | 0.864997i | ||||
\(472\) | 1.55903 | − | 0.567441i | 0.0717602 | − | 0.0261186i | ||||
\(473\) | 0.615483 | + | 0.516451i | 0.0282999 | + | 0.0237465i | ||||
\(474\) | −8.14460 | −0.374094 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.0782072 | −0.00358462 | ||||||||
\(477\) | −19.8216 | − | 16.6323i | −0.907570 | − | 0.761542i | ||||
\(478\) | −8.06973 | + | 2.93714i | −0.369101 | + | 0.134342i | ||||
\(479\) | −1.28216 | − | 7.27148i | −0.0585833 | − | 0.332242i | 0.941404 | − | 0.337281i | \(-0.109507\pi\) |
−0.999987 | + | 0.00503861i | \(0.998396\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.0037 | + | 4.36899i | 0.547321 | + | 0.199209i | ||||
\(482\) | 5.95393 | + | 10.3125i | 0.271194 | + | 0.469722i | ||||
\(483\) | −7.77754 | + | 13.4711i | −0.353890 | + | 0.612956i | ||||
\(484\) | −7.41195 | + | 6.21936i | −0.336907 | + | 0.282698i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −8.07102 | + | 13.9794i | −0.366109 | + | 0.634119i | ||||
\(487\) | −13.2286 | − | 22.9127i | −0.599446 | − | 1.03827i | −0.992903 | − | 0.118928i | \(-0.962054\pi\) |
0.393457 | − | 0.919343i | \(-0.371279\pi\) | |||||||
\(488\) | −5.59770 | − | 2.03740i | −0.253396 | − | 0.0922286i | ||||
\(489\) | −1.50023 | + | 8.50824i | −0.0678429 | + | 0.384756i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.54434 | − | 2.74591i | 0.340471 | − | 0.123921i | −0.166125 | − | 0.986105i | \(-0.553126\pi\) |
0.506596 | + | 0.862183i | \(0.330903\pi\) | |||||||
\(492\) | −5.73393 | − | 4.81134i | −0.258505 | − | 0.216912i | ||||
\(493\) | −0.226877 | −0.0102180 | ||||||||
\(494\) | −2.78041 | + | 9.45727i | −0.125096 | + | 0.425503i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.38867 | − | 2.84343i | −0.152156 | − | 0.127674i | ||||
\(497\) | −19.6810 | + | 7.16329i | −0.882812 | + | 0.321317i | ||||
\(498\) | 0.854489 | + | 4.84605i | 0.0382906 | + | 0.217157i | ||||
\(499\) | 3.76753 | − | 21.3667i | 0.168658 | − | 0.956506i | −0.776555 | − | 0.630050i | \(-0.783034\pi\) |
0.945212 | − | 0.326456i | \(-0.105854\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.23178 | − | 5.59760i | −0.144385 | − | 0.250082i | ||||
\(502\) | −8.96909 | + | 15.5349i | −0.400310 | + | 0.693358i | ||||
\(503\) | 15.1058 | − | 12.6753i | 0.673536 | − | 0.565164i | −0.240574 | − | 0.970631i | \(-0.577336\pi\) |
0.914110 | + | 0.405467i | \(0.132891\pi\) | |||||||
\(504\) | −3.58227 | + | 3.00588i | −0.159567 | + | 0.133893i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.66097 | + | 8.07304i | 0.207206 | + | 0.358891i | ||||
\(507\) | −6.66626 | − | 2.42632i | −0.296059 | − | 0.107757i | ||||
\(508\) | −2.54509 | + | 14.4339i | −0.112920 | + | 0.640402i | ||||
\(509\) | 0.901498 | + | 5.11265i | 0.0399582 | + | 0.226614i | 0.998247 | − | 0.0591880i | \(-0.0188511\pi\) |
−0.958289 | + | 0.285802i | \(0.907740\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.63894 | + | 8.08803i | 0.426402 | + | 0.357793i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 19.7822 | − | 4.79196i | 0.873405 | − | 0.211570i | ||||
\(514\) | 27.2472 | 1.20182 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.590191 | − | 0.214812i | 0.0259817 | − | 0.00945657i | ||||
\(517\) | 1.45562 | + | 8.25521i | 0.0640179 | + | 0.363064i | ||||
\(518\) | 2.09377 | − | 11.8744i | 0.0919951 | − | 0.521730i | ||||
\(519\) | −21.4712 | − | 7.81487i | −0.942481 | − | 0.343035i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.6395 | + | 25.3563i | −0.641366 | + | 1.11088i | 0.343762 | + | 0.939057i | \(0.388299\pi\) |
−0.985128 | + | 0.171822i | \(0.945035\pi\) | |||||||
\(522\) | −10.3921 | + | 8.71998i | −0.454849 | + | 0.381663i | ||||
\(523\) | −1.39649 | + | 1.17180i | −0.0610643 | + | 0.0512390i | −0.672809 | − | 0.739816i | \(-0.734912\pi\) |
0.611745 | + | 0.791055i | \(0.290468\pi\) | |||||||
\(524\) | −2.58098 | + | 4.47039i | −0.112751 | + | 0.195290i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.470923 | − | 0.171402i | −0.0205332 | − | 0.00747348i | ||||
\(527\) | −0.0281431 | + | 0.159607i | −0.00122593 | + | 0.00695261i | ||||
\(528\) | −0.179776 | − | 1.01956i | −0.00782374 | − | 0.0443706i | ||||
\(529\) | −40.0441 | + | 14.5749i | −1.74105 | + | 0.633690i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.63457 | −0.157727 | ||||||||
\(532\) | 9.24691 | + | 1.03446i | 0.400904 | + | 0.0448495i | ||||
\(533\) | −18.8164 | −0.815027 | ||||||||
\(534\) | −4.87741 | − | 4.09263i | −0.211066 | − | 0.177106i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.69698 | + | 9.62407i | 0.0732985 | + | 0.415697i | ||||
\(537\) | 1.64866 | − | 9.35004i | 0.0711451 | − | 0.403484i | ||||
\(538\) | 19.3314 | + | 7.03604i | 0.833434 | + | 0.303345i | ||||
\(539\) | 1.40596 | + | 2.43519i | 0.0605589 | + | 0.104891i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.50497 | − | 7.97562i | 0.408651 | − | 0.342899i | −0.415175 | − | 0.909741i | \(-0.636280\pi\) |
0.823826 | + | 0.566843i | \(0.191835\pi\) | |||||||
\(542\) | −8.26521 | + | 6.93533i | −0.355021 | + | 0.297898i | ||||
\(543\) | −0.195339 | + | 0.338336i | −0.00838278 | + | 0.0145194i | ||||
\(544\) | 0.0183188 | + | 0.0317290i | 0.000785411 | + | 0.00136037i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.754109 | − | 4.27677i | 0.0322729 | − | 0.183029i | ||||
\(547\) | 6.88009 | + | 39.0189i | 0.294171 | + | 1.66833i | 0.670551 | + | 0.741863i | \(0.266058\pi\) |
−0.376380 | + | 0.926465i | \(0.622831\pi\) | |||||||
\(548\) | 14.3188 | − | 5.21160i | 0.611667 | − | 0.222629i | ||||
\(549\) | 9.99682 | + | 8.38833i | 0.426654 | + | 0.358005i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 26.8250 | + | 3.00093i | 1.14278 | + | 0.127844i | ||||
\(552\) | 7.28705 | 0.310157 | ||||||||
\(553\) | 14.8044 | + | 12.4224i | 0.629548 | + | 0.528254i | ||||
\(554\) | 18.9738 | − | 6.90589i | 0.806119 | − | 0.293403i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.70282 | + | 9.65717i | −0.0722156 | + | 0.409555i | ||||
\(557\) | −37.8354 | − | 13.7710i | −1.60314 | − | 0.583495i | −0.623072 | − | 0.782165i | \(-0.714116\pi\) |
−0.980066 | + | 0.198670i | \(0.936338\pi\) | |||||||
\(558\) | 4.84540 | + | 8.39248i | 0.205122 | + | 0.355282i | ||||
\(559\) | 0.789431 | − | 1.36733i | 0.0333894 | − | 0.0578321i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0290564 | + | 0.0243812i | −0.00122676 | + | 0.00102937i | ||||
\(562\) | −0.565472 | + | 0.979426i | −0.0238530 | + | 0.0413146i | ||||
\(563\) | 4.61587 | + | 7.99492i | 0.194536 | + | 0.336946i | 0.946748 | − | 0.321975i | \(-0.104347\pi\) |
−0.752213 | + | 0.658921i | \(0.771013\pi\) | |||||||
\(564\) | 6.15754 | + | 2.24116i | 0.259279 | + | 0.0943699i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.31197 | − | 7.44055i | −0.0551462 | − | 0.312750i | ||||
\(567\) | 4.75659 | − | 1.73126i | 0.199758 | − | 0.0727059i | ||||
\(568\) | 7.51613 | + | 6.30678i | 0.315370 | + | 0.264627i | ||||
\(569\) | 1.97117 | 0.0826355 | 0.0413178 | − | 0.999146i | \(-0.486844\pi\) | ||||
0.0413178 | + | 0.999146i | \(0.486844\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.6836 | −0.572642 | −0.286321 | − | 0.958134i | \(-0.592432\pi\) | ||||
−0.286321 | + | 0.958134i | \(0.592432\pi\) | |||||||
\(572\) | −1.99367 | − | 1.67289i | −0.0833594 | − | 0.0699469i | ||||
\(573\) | 22.3770 | − | 8.14457i | 0.934814 | − | 0.340244i | ||||
\(574\) | 3.08415 | + | 17.4911i | 0.128730 | + | 0.730064i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 2.05859 | + | 0.749266i | 0.0857746 | + | 0.0312194i | ||||
\(577\) | 11.7284 | + | 20.3142i | 0.488260 | + | 0.845692i | 0.999909 | − | 0.0135033i | \(-0.00429835\pi\) |
−0.511649 | + | 0.859195i | \(0.670965\pi\) | |||||||
\(578\) | −8.49933 | + | 14.7213i | −0.353525 | + | 0.612324i | ||||
\(579\) | −8.27243 | + | 6.94139i | −0.343790 | + | 0.288474i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.83813 | − | 10.1119i | 0.242207 | − | 0.419514i | ||||
\(582\) | −3.72628 | − | 6.45411i | −0.154459 | − | 0.267532i | ||||
\(583\) | −12.7731 | − | 4.64902i | −0.529006 | − | 0.192543i | ||||
\(584\) | 1.02359 | − | 5.80505i | 0.0423564 | − | 0.240215i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.8330 | + | 5.76276i | −0.654057 | + | 0.238057i | ||||
\(587\) | 13.5997 | + | 11.4115i | 0.561320 | + | 0.471004i | 0.878753 | − | 0.477277i | \(-0.158376\pi\) |
−0.317432 | + | 0.948281i | \(0.602821\pi\) | |||||||
\(588\) | 2.19810 | 0.0906481 | ||||||||
\(589\) | 5.43868 | − | 18.4991i | 0.224097 | − | 0.762242i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 16.7956 | + | 14.0932i | 0.690879 | + | 0.579716i | ||||
\(592\) | −5.30792 | + | 1.93193i | −0.218154 | + | 0.0794016i | ||||
\(593\) | −7.21492 | − | 40.9178i | −0.296281 | − | 1.68029i | −0.661949 | − | 0.749549i | \(-0.730270\pi\) |
0.365668 | − | 0.930746i | \(-0.380841\pi\) | |||||||
\(594\) | −0.933164 | + | 5.29223i | −0.0382882 | + | 0.217143i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −11.0860 | − | 19.2015i | −0.454101 | − | 0.786525i | ||||
\(597\) | 0.115811 | − | 0.200591i | 0.00473983 | − | 0.00820963i | ||||
\(598\) | 14.0328 | − | 11.7749i | 0.573842 | − | 0.481511i | ||||
\(599\) | 20.4270 | − | 17.1403i | 0.834624 | − | 0.700333i | −0.121724 | − | 0.992564i | \(-0.538842\pi\) |
0.956348 | + | 0.292231i | \(0.0943978\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.11077 | + | 12.3162i | 0.290054 | + | 0.502389i | 0.973822 | − | 0.227311i | \(-0.0729933\pi\) |
−0.683768 | + | 0.729699i | \(0.739660\pi\) | |||||||
\(602\) | −1.40043 | − | 0.509713i | −0.0570771 | − | 0.0207744i | ||||
\(603\) | 3.71759 | − | 21.0835i | 0.151392 | − | 0.858587i | ||||
\(604\) | −3.04062 | − | 17.2442i | −0.123721 | − | 0.701658i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.260315 | + | 0.218430i | 0.0105746 | + | 0.00887312i | ||||
\(607\) | 14.9537 | 0.606953 | 0.303476 | − | 0.952839i | \(-0.401853\pi\) | ||||
0.303476 | + | 0.952839i | \(0.401853\pi\) | |||||||
\(608\) | −1.74625 | − | 3.99382i | −0.0708199 | − | 0.161971i | ||||
\(609\) | −11.8915 | −0.481869 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 15.4791 | − | 5.63392i | 0.626216 | − | 0.227924i | ||||
\(612\) | −0.0139374 | − | 0.0790427i | −0.000563385 | − | 0.00319511i | ||||
\(613\) | 0.854395 | − | 4.84551i | 0.0345087 | − | 0.195708i | −0.962680 | − | 0.270643i | \(-0.912764\pi\) |
0.997188 | + | 0.0749346i | \(0.0238748\pi\) | |||||||
\(614\) | −18.3440 | − | 6.67668i | −0.740305 | − | 0.269449i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.22828 | + | 2.12745i | −0.0494890 | + | 0.0857174i | ||||
\(617\) | 17.3980 | − | 14.5987i | 0.700419 | − | 0.587721i | −0.221474 | − | 0.975166i | \(-0.571087\pi\) |
0.921893 | + | 0.387445i | \(0.126642\pi\) | |||||||
\(618\) | −9.51865 | + | 7.98710i | −0.382896 | + | 0.321288i | ||||
\(619\) | −6.64360 | + | 11.5071i | −0.267029 | + | 0.462508i | −0.968093 | − | 0.250590i | \(-0.919375\pi\) |
0.701064 | + | 0.713098i | \(0.252709\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −35.5438 | − | 12.9369i | −1.42632 | − | 0.519139i | ||||
\(622\) | −5.57174 | + | 31.5989i | −0.223406 | + | 1.26700i | ||||
\(623\) | 2.62345 | + | 14.8783i | 0.105106 | + | 0.596088i | ||||
\(624\) | −1.91174 | + | 0.695817i | −0.0765309 | + | 0.0278550i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −6.51280 | −0.260304 | ||||||||
\(627\) | 3.75800 | − | 2.49840i | 0.150080 | − | 0.0997766i | ||||
\(628\) | 21.1895 | 0.845553 | ||||||||
\(629\) | 0.158533 | + | 0.133025i | 0.00632111 | + | 0.00530404i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.43164 | − | 36.4757i | −0.256040 | − | 1.45207i | −0.793390 | − | 0.608714i | \(-0.791686\pi\) |
0.537350 | − | 0.843359i | \(-0.319425\pi\) | |||||||
\(632\) | 1.57213 | − | 8.91597i | 0.0625358 | − | 0.354658i | ||||
\(633\) | 2.27165 | + | 0.826812i | 0.0902899 | + | 0.0328628i | ||||
\(634\) | 3.84856 | + | 6.66590i | 0.152846 | + | 0.264737i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −8.13970 | + | 6.83002i | −0.322760 | + | 0.270828i | ||||
\(637\) | 4.23291 | − | 3.55183i | 0.167714 | − | 0.140729i | ||||
\(638\) | −3.56322 | + | 6.17167i | −0.141069 | + | 0.244339i | ||||
\(639\) | −10.7472 | − | 18.6147i | −0.425152 | − | 0.736385i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.38419 | + | 30.5353i | −0.212663 | + | 1.20607i | 0.672254 | + | 0.740321i | \(0.265326\pi\) |
−0.884917 | + | 0.465749i | \(0.845785\pi\) | |||||||
\(642\) | 1.01189 | + | 5.73869i | 0.0399359 | + | 0.226488i | ||||
\(643\) | −15.2806 | + | 5.56168i | −0.602608 | + | 0.219331i | −0.625266 | − | 0.780412i | \(-0.715009\pi\) |
0.0226580 | + | 0.999743i | \(0.492787\pi\) | |||||||
\(644\) | −13.2456 | − | 11.1144i | −0.521951 | − | 0.437969i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.0947309 | + | 0.128569i | −0.00372714 | + | 0.00505847i | ||||
\(647\) | 47.0983 | 1.85162 | 0.925812 | − | 0.377985i | \(-0.123383\pi\) | ||||
0.925812 | + | 0.377985i | \(0.123383\pi\) | |||||||
\(648\) | −1.81653 | − | 1.52425i | −0.0713601 | − | 0.0598783i | ||||
\(649\) | −1.79417 | + | 0.653024i | −0.0704272 | + | 0.0256334i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.47509 | + | 8.36566i | −0.0578134 | + | 0.327876i | ||||
\(652\) | −9.02446 | − | 3.28463i | −0.353425 | − | 0.128636i | ||||
\(653\) | 13.1067 | + | 22.7015i | 0.512906 | + | 0.888380i | 0.999888 | + | 0.0149675i | \(0.00476448\pi\) |
−0.486982 | + | 0.873412i | \(0.661902\pi\) | |||||||
\(654\) | 0.772461 | − | 1.33794i | 0.0302056 | − | 0.0523176i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 6.37381 | − | 5.34826i | 0.248855 | − | 0.208815i | ||||
\(657\) | −6.45668 | + | 11.1833i | −0.251899 | + | 0.436302i | ||||
\(658\) | −7.77426 | − | 13.4654i | −0.303072 | − | 0.524937i | ||||
\(659\) | −7.18816 | − | 2.61628i | −0.280011 | − | 0.101916i | 0.198197 | − | 0.980162i | \(-0.436491\pi\) |
−0.478208 | + | 0.878246i | \(0.658714\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.35220 | − | 47.3677i | −0.324863 | − | 1.84239i | −0.510635 | − | 0.859797i | \(-0.670590\pi\) |
0.185772 | − | 0.982593i | \(-0.440521\pi\) | |||||||
\(662\) | −18.9600 | + | 6.90087i | −0.736900 | + | 0.268210i | ||||
\(663\) | 0.0570984 | + | 0.0479112i | 0.00221752 | + | 0.00186072i | ||||
\(664\) | −5.46995 | −0.212275 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 12.3744 | 0.479497 | ||||||||
\(667\) | −38.4252 | − | 32.2426i | −1.48783 | − | 1.24844i | ||||
\(668\) | 6.75156 | − | 2.45737i | 0.261226 | − | 0.0950784i | ||||
\(669\) | −0.955699 | − | 5.42004i | −0.0369495 | − | 0.209551i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.44196 | + | 2.34468i | 0.248689 | + | 0.0905154i | ||||
\(672\) | 0.960160 | + | 1.66305i | 0.0370390 | + | 0.0641534i | ||||
\(673\) | −22.2011 | + | 38.4534i | −0.855789 | + | 1.48227i | 0.0201219 | + | 0.999798i | \(0.493595\pi\) |
−0.875911 | + | 0.482473i | \(0.839739\pi\) | |||||||
\(674\) | −5.49032 | + | 4.60693i | −0.211479 | + | 0.177452i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.94288 | − | 6.82927i | 0.151649 | − | 0.262664i | ||||
\(677\) | −1.53312 | − | 2.65544i | −0.0589226 | − | 0.102057i | 0.835059 | − | 0.550160i | \(-0.185433\pi\) |
−0.893982 | + | 0.448103i | \(0.852100\pi\) | |||||||
\(678\) | −5.85439 | − | 2.13083i | −0.224837 | − | 0.0818339i | ||||
\(679\) | −3.07074 | + | 17.4151i | −0.117844 | + | 0.668328i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.830006 | + | 0.302097i | −0.0318059 | + | 0.0115764i | ||||
\(682\) | 3.89976 | + | 3.27228i | 0.149329 | + | 0.125302i | ||||
\(683\) | 31.7607 | 1.21529 | 0.607644 | − | 0.794210i | \(-0.292115\pi\) | ||||
0.607644 | + | 0.794210i | \(0.292115\pi\) | |||||||
\(684\) | 0.602389 | + | 9.53005i | 0.0230329 | + | 0.364391i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −15.4420 | − | 12.9574i | −0.589577 | − | 0.494714i | ||||
\(687\) | −16.9797 | + | 6.18011i | −0.647816 | + | 0.235786i | ||||
\(688\) | 0.121234 | + | 0.687551i | 0.00462200 | + | 0.0262126i | ||||
\(689\) | −4.63833 | + | 26.3053i | −0.176706 | + | 1.00215i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.89195 | + | 11.9372i | 0.262182 | + | 0.454112i | 0.966821 | − | 0.255453i | \(-0.0822246\pi\) |
−0.704640 | + | 0.709565i | \(0.748891\pi\) | |||||||
\(692\) | 12.6995 | − | 21.9962i | 0.482763 | − | 0.836171i | ||||
\(693\) | 4.12256 | − | 3.45924i | 0.156603 | − | 0.131406i | ||||
\(694\) | 5.70800 | − | 4.78958i | 0.216673 | − | 0.181810i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.78540 | + | 4.82445i | 0.105580 | + | 0.182870i | ||||
\(697\) | −0.286456 | − | 0.104261i | −0.0108503 | − | 0.00394918i | ||||
\(698\) | −4.53756 | + | 25.7338i | −0.171749 | + | 0.974037i | ||||
\(699\) | −2.51387 | − | 14.2569i | −0.0950833 | − | 0.539244i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −22.8905 | − | 19.2074i | −0.864562 | − | 0.725454i | 0.0983834 | − | 0.995149i | \(-0.468633\pi\) |
−0.962946 | + | 0.269695i | \(0.913077\pi\) | |||||||
\(702\) | 10.5601 | 0.398567 | ||||||||
\(703\) | −16.9847 | − | 17.8252i | −0.640591 | − | 0.672292i | ||||
\(704\) | 1.15082 | 0.0433732 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13.2211 | − | 4.81209i | 0.497583 | − | 0.181105i | ||||
\(707\) | −0.140018 | − | 0.794080i | −0.00526591 | − | 0.0298644i | ||||
\(708\) | −0.259175 | + | 1.46985i | −0.00974037 | + | 0.0552404i | ||||
\(709\) | 24.2954 | + | 8.84281i | 0.912433 | + | 0.332099i | 0.755224 | − | 0.655467i | \(-0.227528\pi\) |
0.157209 | + | 0.987565i | \(0.449750\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.91679 | + | 17.1764i | −0.371909 | + | 0.644165i | ||||
\(712\) | 5.42171 | − | 4.54935i | 0.203187 | − | 0.170494i | ||||
\(713\) | −27.4491 | + | 23.0325i | −1.02798 | + | 0.862574i | ||||
\(714\) | 0.0351779 | − | 0.0609299i | 0.00131650 | − | 0.00228024i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 9.91733 | + | 3.60961i | 0.370628 | + | 0.134898i | ||||
\(717\) | 1.34152 | − | 7.60813i | 0.0500999 | − | 0.284131i | ||||
\(718\) | −4.85804 | − | 27.5513i | −0.181300 | − | 1.02821i | ||||
\(719\) | 17.7416 | − | 6.45741i | 0.661650 | − | 0.240821i | 0.0107012 | − | 0.999943i | \(-0.496594\pi\) |
0.650948 | + | 0.759122i | \(0.274371\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 29.4842 | 1.09805 | ||||||||
\(722\) | 12.9012 | − | 13.9484i | 0.480133 | − | 0.519107i | ||||
\(723\) | −10.7124 | −0.398398 | ||||||||
\(724\) | −0.332674 | − | 0.279147i | −0.0123637 | − | 0.0103744i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −1.51148 | − | 8.57201i | −0.0560962 | − | 0.318137i | ||||
\(727\) | 5.17269 | − | 29.3358i | 0.191845 | − | 1.08800i | −0.724997 | − | 0.688752i | \(-0.758159\pi\) |
0.916841 | − | 0.399252i | \(-0.130730\pi\) | |||||||
\(728\) | 4.53625 | + | 1.65106i | 0.168125 | + | 0.0611923i | ||||
\(729\) | −3.70378 | − | 6.41513i | −0.137177 | − | 0.237598i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.0195945 | − | 0.0164417i | 0.000724728 | − | 0.000608119i | ||||
\(732\) | 4.10517 | − | 3.44464i | 0.151731 | − | 0.127318i | ||||
\(733\) | 6.66338 | − | 11.5413i | 0.246118 | − | 0.426288i | −0.716328 | − | 0.697764i | \(-0.754178\pi\) |
0.962445 | + | 0.271476i | \(0.0875117\pi\) | |||||||
\(734\) | −12.6639 | − | 21.9345i | −0.467433 | − | 0.809618i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.40659 | + | 7.97719i | −0.0518477 | + | 0.294043i | ||||
\(737\) | −1.95293 | − | 11.0756i | −0.0719370 | − | 0.407975i | ||||
\(738\) | −17.1283 | + | 6.23421i | −0.630503 | + | 0.229484i | ||||
\(739\) | −36.7309 | − | 30.8208i | −1.35117 | − | 1.13376i | −0.978603 | − | 0.205756i | \(-0.934035\pi\) |
−0.372563 | − | 0.928007i | \(-0.621521\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −6.11736 | − | 6.42008i | −0.224727 | − | 0.235848i | ||||
\(742\) | 25.2128 | 0.925592 | ||||||||
\(743\) | −26.6169 | − | 22.3342i | −0.976478 | − | 0.819362i | 0.00707666 | − | 0.999975i | \(-0.497747\pi\) |
−0.983554 | + | 0.180613i | \(0.942192\pi\) | |||||||
\(744\) | 3.73951 | − | 1.36107i | 0.137097 | − | 0.0498992i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.71540 | − | 21.0711i | 0.136031 | − | 0.771468i | ||||
\(747\) | 11.2604 | + | 4.09845i | 0.411996 | + | 0.149954i | ||||
\(748\) | −0.0210816 | − | 0.0365145i | −0.000770821 | − | 0.00133510i | ||||
\(749\) | 6.91351 | − | 11.9745i | 0.252614 | − | 0.437541i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.8228 | + | 14.1160i | −0.613873 | + | 0.515101i | −0.895871 | − | 0.444314i | \(-0.853447\pi\) |
0.281998 | + | 0.959415i | \(0.409003\pi\) | |||||||
\(752\) | −3.64199 | + | 6.30811i | −0.132810 | + | 0.230033i | ||||
\(753\) | −8.06866 | − | 13.9753i | −0.294038 | − | 0.509290i | ||||
\(754\) | 13.1595 | + | 4.78968i | 0.479242 | + | 0.174430i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −1.73089 | − | 9.81638i | −0.0629520 | − | 0.357018i | ||||
\(757\) | −8.72443 | + | 3.17543i | −0.317095 | + | 0.115413i | −0.495664 | − | 0.868514i | \(-0.665075\pi\) |
0.178569 | + | 0.983927i | \(0.442853\pi\) | |||||||
\(758\) | −29.0201 | − | 24.3508i | −1.05406 | − | 0.884460i | ||||
\(759\) | −8.38609 | −0.304396 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.5581 | −0.491482 | −0.245741 | − | 0.969336i | \(-0.579031\pi\) | ||||
−0.245741 | + | 0.969336i | \(0.579031\pi\) | |||||||
\(762\) | −10.1004 | − | 8.47527i | −0.365900 | − | 0.307027i | ||||
\(763\) | −3.44477 | + | 1.25379i | −0.124709 | + | 0.0453903i | ||||
\(764\) | 4.59657 | + | 26.0684i | 0.166298 | + | 0.943123i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.09921 | + | 1.12802i | 0.111979 | + | 0.0407570i | ||||
\(767\) | 1.87599 | + | 3.24930i | 0.0677379 | + | 0.117326i | ||||
\(768\) | 0.449804 | − | 0.779083i | 0.0162309 | − | 0.0281127i | ||||
\(769\) | −15.1389 | + | 12.7031i | −0.545924 | + | 0.458085i | −0.873558 | − | 0.486720i | \(-0.838193\pi\) |
0.327634 | + | 0.944805i | \(0.393749\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −12.2559 | + | 21.2278i | −0.441385 | + | 0.764501i | ||||
\(772\) | −6.00200 | − | 10.3958i | −0.216017 | − | 0.374152i | ||||
\(773\) | 16.0490 | + | 5.84138i | 0.577244 | + | 0.210100i | 0.614110 | − | 0.789221i | \(-0.289515\pi\) |
−0.0368657 | + | 0.999320i | \(0.511737\pi\) | |||||||
\(774\) | 0.265588 | − | 1.50622i | 0.00954636 | − | 0.0541401i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.78464 | − | 2.83338i | 0.279452 | − | 0.101712i | ||||
\(777\) | 8.30933 | + | 6.97236i | 0.298096 | + | 0.250132i | ||||
\(778\) | −4.34471 | −0.155765 | ||||||||
\(779\) | 32.4903 | + | 16.1164i | 1.16409 | + | 0.577431i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.64973 | − | 7.25798i | −0.309512 | − | 0.259711i | ||||
\(782\) | 0.278876 | − | 0.101502i | 0.00997257 | − | 0.00362972i | ||||
\(783\) | −5.02127 | − | 28.4770i | −0.179446 | − | 1.01769i | ||||
\(784\) | −0.424292 | + | 2.40628i | −0.0151533 | + | 0.0859385i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −2.32187 | − | 4.02159i | −0.0828183 | − | 0.143445i | ||||
\(787\) | 12.5839 | − | 21.7960i | 0.448568 | − | 0.776942i | −0.549725 | − | 0.835346i | \(-0.685268\pi\) |
0.998293 | + | 0.0584033i | \(0.0186009\pi\) | |||||||
\(788\) | −18.6699 | + | 15.6659i | −0.665089 | + | 0.558076i | ||||
\(789\) | 0.345359 | − | 0.289791i | 0.0122951 | − | 0.0103168i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7.39152 | + | 12.8025i | 0.262812 | + | 0.455204i | ||||
\(792\) | −2.36907 | − | 0.862272i | −0.0841813 | − | 0.0306395i | ||||
\(793\) | 2.33929 | − | 13.2668i | 0.0830707 | − | 0.471117i | ||||
\(794\) | −4.50149 | − | 25.5292i | −0.159752 | − | 0.905997i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.197234 | + | 0.165499i | 0.00699076 | + | 0.00586594i | ||||
\(797\) | 28.2917 | 1.00214 | 0.501071 | − | 0.865406i | \(-0.332939\pi\) | ||||
0.501071 | + | 0.865406i | \(0.332939\pi\) | |||||||
\(798\) | −4.96522 | + | 6.73880i | −0.175767 | + | 0.238551i | ||||
\(799\) | 0.266867 | 0.00944107 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −14.5698 | + | 5.30296i | −0.514797 | + | 0.187371i | ||||
\(802\) | −0.671152 | − | 3.80629i | −0.0236992 | − | 0.134405i | ||||
\(803\) | −1.17797 | + | 6.68058i | −0.0415696 | + | 0.235753i | ||||
\(804\) | −8.26126 | − | 3.00685i | −0.291352 | − | 0.106044i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 5.00191 | − | 8.66356i | 0.176185 | − | 0.305161i | ||||
\(807\) | −14.1770 | + | 11.8959i | −0.499053 | + | 0.418755i | ||||
\(808\) | −0.289365 | + | 0.242806i | −0.0101798 | + | 0.00854189i | ||||
\(809\) | −1.15497 | + | 2.00046i | −0.0406064 | + | 0.0703324i | −0.885614 | − | 0.464421i | \(-0.846262\pi\) |
0.845008 | + | 0.534754i | \(0.179596\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −12.1095 | − | 4.40751i | −0.425223 | − | 0.154769i | 0.120539 | − | 0.992709i | \(-0.461538\pi\) |
−0.545762 | + | 0.837940i | \(0.683760\pi\) | |||||||
\(812\) | 2.29538 | − | 13.0177i | 0.0805521 | − | 0.456833i | ||||
\(813\) | −1.68548 | − | 9.55882i | −0.0591123 | − | 0.335242i | ||||
\(814\) | 6.10847 | − | 2.22330i | 0.214102 | − | 0.0779267i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −0.0329594 | −0.00115381 | ||||||||
\(817\) | −2.53425 | + | 1.68482i | −0.0886622 | + | 0.0589446i | ||||
\(818\) | 8.73306 | 0.305344 | ||||||||
\(819\) | −8.10120 | − | 6.79771i | −0.283079 | − | 0.237531i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.54626 | + | 14.4405i | 0.0888650 | + | 0.503978i | 0.996455 | + | 0.0841217i | \(0.0268085\pi\) |
−0.907591 | + | 0.419856i | \(0.862080\pi\) | |||||||
\(822\) | −2.38036 | + | 13.4997i | −0.0830246 | + | 0.470856i | ||||
\(823\) | 31.3707 | + | 11.4180i | 1.09351 | + | 0.398006i | 0.824921 | − | 0.565248i | \(-0.191219\pi\) |
0.268592 | + | 0.963254i | \(0.413442\pi\) | |||||||
\(824\) | −6.90619 | − | 11.9619i | −0.240589 | − | 0.416712i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.71296 | − | 2.27644i | 0.0943960 | − | 0.0792076i | ||||
\(827\) | 5.64874 | − | 4.73986i | 0.196426 | − | 0.164821i | −0.539270 | − | 0.842133i | \(-0.681300\pi\) |
0.735696 | + | 0.677312i | \(0.236855\pi\) | |||||||
\(828\) | 8.87264 | − | 15.3679i | 0.308345 | − | 0.534070i | ||||
\(829\) | −3.66811 | − | 6.35335i | −0.127399 | − | 0.220661i | 0.795269 | − | 0.606256i | \(-0.207329\pi\) |
−0.922668 | + | 0.385595i | \(0.873996\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −3.15421 | + | 17.8884i | −0.109418 | + | 0.620543i | ||||
\(832\) | −0.392700 | − | 2.22711i | −0.0136144 | − | 0.0772112i | ||||
\(833\) | 0.0841214 | − | 0.0306177i | 0.00291463 | − | 0.00106084i | ||||
\(834\) | −6.75780 | − | 5.67047i | −0.234003 | − | 0.196352i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 2.00963 | + | 4.59618i | 0.0695044 | + | 0.158962i | ||||
\(837\) | −20.6564 | −0.713990 | ||||||||
\(838\) | −1.03754 | − | 0.870598i | −0.0358412 | − | 0.0300743i | ||||
\(839\) | −14.5357 | + | 5.29055i | −0.501827 | + | 0.182650i | −0.580516 | − | 0.814249i | \(-0.697149\pi\) |
0.0786886 | + | 0.996899i | \(0.474927\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.62303 | − | 9.20468i | 0.0559667 | − | 0.317403i | ||||
\(842\) | −2.38379 | − | 0.867629i | −0.0821508 | − | 0.0299005i | ||||
\(843\) | −0.508702 | − | 0.881099i | −0.0175206 | − | 0.0303466i | ||||
\(844\) | −1.34361 | + | 2.32720i | −0.0462489 | + | 0.0801054i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 12.2238 | − | 10.2570i | 0.420263 | − | 0.352643i | ||||
\(847\) | −10.3269 | + | 17.8867i | −0.354836 | + | 0.614593i | ||||
\(848\) | −5.90570 | − | 10.2290i | −0.202802 | − | 0.351264i | ||||
\(849\) | 6.38693 | + | 2.32465i | 0.219199 | + | 0.0797819i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.94525 | + | 45.0597i | 0.272360 | + | 1.54463i | ||||
\(852\) | −8.29429 | + | 3.01887i | −0.284158 | + | 0.103425i | ||||
\(853\) | −29.8285 | − | 25.0291i | −1.02131 | − | 0.856980i | −0.0315176 | − | 0.999503i | \(-0.510034\pi\) |
−0.989791 | + | 0.142523i | \(0.954478\pi\) | |||||||
\(854\) | −12.7158 | −0.435126 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −6.47751 | −0.221397 | ||||||||
\(857\) | −40.6768 | − | 34.1319i | −1.38949 | − | 1.16592i | −0.965545 | − | 0.260236i | \(-0.916200\pi\) |
−0.423948 | − | 0.905687i | \(-0.639356\pi\) | |||||||
\(858\) | 2.20008 | − | 0.800762i | 0.0751093 | − | 0.0273376i | ||||
\(859\) | 0.385392 | + | 2.18567i | 0.0131494 | + | 0.0745740i | 0.990676 | − | 0.136237i | \(-0.0435008\pi\) |
−0.977527 | + | 0.210811i | \(0.932390\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −15.0143 | − | 5.46475i | −0.511685 | − | 0.186238i | ||||
\(862\) | −7.42824 | − | 12.8661i | −0.253007 | − | 0.438221i | ||||
\(863\) | −4.65949 | + | 8.07047i | −0.158611 | + | 0.274722i | −0.934368 | − | 0.356310i | \(-0.884035\pi\) |
0.775757 | + | 0.631032i | \(0.217368\pi\) | |||||||
\(864\) | −3.57712 | + | 3.00156i | −0.121696 | + | 0.102115i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −1.36617 | + | 2.36628i | −0.0464244 | + | 0.0804094i | ||||
\(867\) | −7.64606 | − | 13.2434i | −0.259674 | − | 0.449768i | ||||
\(868\) | −8.87323 | − | 3.22959i | −0.301177 | − | 0.109619i | ||||
\(869\) | −1.80924 | + | 10.2607i | −0.0613741 | + | 0.348070i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.7675 | + | 7.55874i | −0.703679 | + | 0.256118i | ||||
\(872\) | 1.31555 | + | 1.10388i | 0.0445501 | + | 0.0373820i | ||||
\(873\) | −18.1483 | −0.614228 | ||||||||
\(874\) | −34.3157 | + | 8.31251i | −1.16075 | + | 0.281175i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.06220 | + | 3.40859i | 0.137249 | + | 0.115166i | ||||
\(877\) | 8.00218 | − | 2.91255i | 0.270214 | − | 0.0983500i | −0.203359 | − | 0.979104i | \(-0.565186\pi\) |
0.473574 | + | 0.880754i | \(0.342964\pi\) | |||||||
\(878\) | −5.00274 | − | 28.3720i | −0.168834 | − | 0.957508i | ||||
\(879\) | 2.63210 | − | 14.9274i | 0.0887784 | − | 0.503488i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 18.8598 | + | 32.6661i | 0.635402 | + | 1.10055i | 0.986430 | + | 0.164184i | \(0.0524991\pi\) |
−0.351027 | + | 0.936365i | \(0.614168\pi\) | |||||||
\(882\) | 2.67638 | − | 4.63563i | 0.0901186 | − | 0.156090i | ||||
\(883\) | 39.6674 | − | 33.2849i | 1.33491 | − | 1.12012i | 0.352011 | − | 0.935996i | \(-0.385498\pi\) |
0.982902 | − | 0.184129i | \(-0.0589463\pi\) | |||||||
\(884\) | −0.0634703 | + | 0.0532579i | −0.00213474 | + | 0.00179126i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.85134 | − | 11.8669i | −0.230175 | − | 0.398675i | ||||
\(887\) | −25.3400 | − | 9.22299i | −0.850833 | − | 0.309678i | −0.120453 | − | 0.992719i | \(-0.538435\pi\) |
−0.730380 | + | 0.683041i | \(0.760657\pi\) | |||||||
\(888\) | 0.882393 | − | 5.00430i | 0.0296112 | − | 0.167933i | ||||
\(889\) | 5.43280 | + | 30.8109i | 0.182210 | + | 1.03337i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.09051 | + | 1.75414i | 0.0700346 | + | 0.0587660i | ||||
\(892\) | 6.11784 | 0.204840 | ||||||||
\(893\) | −31.5533 | − | 3.52989i | −1.05589 | − | 0.118123i | ||||
\(894\) | 19.9461 | 0.667098 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.00589 | + | 0.730083i | −0.0670120 | + | 0.0243904i | ||||
\(897\) | 2.86162 | + | 16.2291i | 0.0955468 | + | 0.541873i | ||||
\(898\) | 3.63223 | − | 20.5994i | 0.121209 | − | 0.687411i | ||||
\(899\) | −25.7410 | − | 9.36895i | −0.858510 | − | 0.312472i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.216370 | + | 0.374764i | −0.00720834 | + | 0.0124852i | ||||
\(902\) | −7.33512 | + | 6.15490i | −0.244233 | + | 0.204936i | ||||
\(903\) | 1.02703 | − | 0.861777i | 0.0341773 | − | 0.0286781i | ||||
\(904\) | 3.46269 | − | 5.99755i | 0.115167 | − | 0.199476i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 14.8024 | + | 5.38762i | 0.491776 | + | 0.178992i | ||||
\(907\) | −5.76401 | + | 32.6893i | −0.191391 | + | 1.08543i | 0.726075 | + | 0.687616i | \(0.241343\pi\) |
−0.917465 | + | 0.397815i | \(0.869768\pi\) | |||||||
\(908\) | −0.170495 | − | 0.966927i | −0.00565809 | − | 0.0320886i | ||||
\(909\) | 0.777610 | − | 0.283027i | 0.0257917 | − | 0.00938741i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 18.6372 | 0.617476 | 0.308738 | − | 0.951147i | \(-0.400093\pi\) | ||||
0.308738 | + | 0.951147i | \(0.400093\pi\) | |||||||
\(912\) | 3.89699 | + | 0.435959i | 0.129042 | + | 0.0144360i | ||||
\(913\) | 6.29494 | 0.208332 | ||||||||
\(914\) | −31.2928 | − | 26.2578i | −1.03507 | − | 0.868531i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.48788 | − | 19.7808i | −0.115243 | − | 0.653575i | ||||
\(917\) | −1.91340 | + | 10.8514i | −0.0631860 | + | 0.358345i | ||||
\(918\) | 0.160765 | + | 0.0585137i | 0.00530604 | + | 0.00193124i | ||||
\(919\) | 25.8149 | + | 44.7127i | 0.851555 | + | 1.47494i | 0.879805 | + | 0.475335i | \(0.157673\pi\) |
−0.0282498 | + | 0.999601i | \(0.508993\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.4529 | − | 11.2883i | 0.443288 | − | 0.371963i | ||||
\(922\) | −22.1446 | + | 18.5815i | −0.729294 | + | 0.611950i | ||||
\(923\) | −11.0943 | + | 19.2159i | −0.365174 | + | 0.632500i | ||||
\(924\) | −1.10497 | − | 1.91387i | −0.0363509 | − | 0.0629617i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 5.58828 | − | 31.6927i | 0.183642 | − | 1.04149i | ||||
\(927\) | 5.25440 | + | 29.7992i | 0.172577 | + | 0.978733i | ||||
\(928\) | −5.81902 | + | 2.11795i | −0.191019 | + | 0.0695251i | ||||
\(929\) | 39.5095 | + | 33.1524i | 1.29626 | + | 1.08770i | 0.990777 | + | 0.135499i | \(0.0432637\pi\) |
0.305487 | + | 0.952196i | \(0.401181\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −10.3512 | + | 2.50743i | −0.339246 | + | 0.0821776i | ||||
\(932\) | 16.0924 | 0.527123 | ||||||||
\(933\) | −22.1120 | − | 18.5541i | −0.723913 | − | 0.607435i | ||||
\(934\) | 34.6124 | − | 12.5979i | 1.13255 | − | 0.412216i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.860290 | + | 4.87895i | −0.0281195 | + | 0.159473i | ||||
\(937\) | −2.46321 | − | 0.896535i | −0.0804696 | − | 0.0292885i | 0.301472 | − | 0.953475i | \(-0.402522\pi\) |
−0.381941 | + | 0.924187i | \(0.624744\pi\) | |||||||
\(938\) | 10.4303 | + | 18.0659i | 0.340562 | + | 0.589871i | ||||
\(939\) | 2.92948 | − | 5.07401i | 0.0955999 | − | 0.165584i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.2663 | − | 20.3619i | 0.791060 | − | 0.663778i | −0.154948 | − | 0.987923i | \(-0.549521\pi\) |
0.946008 | + | 0.324145i | \(0.105076\pi\) | |||||||
\(942\) | −9.53111 | + | 16.5084i | −0.310540 | + | 0.537872i | ||||
\(943\) | −33.6987 | − | 58.3679i | −1.09738 | − | 1.90072i | ||||
\(944\) | −1.55903 | − | 0.567441i | −0.0507421 | − | 0.0184686i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.139519 | − | 0.791249i | −0.00453614 | − | 0.0257257i | ||||
\(947\) | −45.3917 | + | 16.5212i | −1.47503 | + | 0.536868i | −0.949462 | − | 0.313881i | \(-0.898371\pi\) |
−0.525571 | + | 0.850750i | \(0.676148\pi\) | |||||||
\(948\) | 6.23913 | + | 5.23525i | 0.202637 | + | 0.170033i | ||||
\(949\) | 13.3305 | 0.432725 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −6.92438 | −0.224538 | ||||||||
\(952\) | 0.0599102 | + | 0.0502706i | 0.00194170 | + | 0.00162928i | ||||
\(953\) | 32.4750 | − | 11.8199i | 1.05197 | − | 0.382885i | 0.242562 | − | 0.970136i | \(-0.422012\pi\) |
0.809405 | + | 0.587251i | \(0.199790\pi\) | |||||||
\(954\) | 4.49320 | + | 25.4822i | 0.145473 | + | 0.825017i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 8.06973 | + | 2.93714i | 0.260994 | + | 0.0949940i | ||||
\(957\) | −3.20549 | − | 5.55208i | −0.103619 | − | 0.179473i | ||||
\(958\) | −3.69183 | + | 6.39443i | −0.119278 | + | 0.206595i | ||||
\(959\) | 24.9169 | − | 20.9078i | 0.804609 | − | 0.675147i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.71591 | − | 9.90024i | 0.184384 | − | 0.319363i | ||||
\(962\) | −6.38703 | − | 11.0627i | −0.205926 | − | 0.356675i | ||||
\(963\) | 13.3345 | + | 4.85338i | 0.429700 | + | 0.156398i | ||||
\(964\) | 2.06778 | − | 11.7269i | 0.0665986 | − | 0.377699i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 14.6170 | − | 5.32015i | 0.470294 | − | 0.171173i | ||||
\(967\) | 5.87837 | + | 4.93254i | 0.189036 | + | 0.158620i | 0.732394 | − | 0.680881i | \(-0.238403\pi\) |
−0.543358 | + | 0.839501i | \(0.682847\pi\) | |||||||
\(968\) | 9.67561 | 0.310986 | ||||||||
\(969\) | −0.0575555 | − | 0.131634i | −0.00184895 | − | 0.00422869i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 38.0452 | + | 31.9237i | 1.22093 | + | 1.02448i | 0.998776 | + | 0.0494674i | \(0.0157524\pi\) |
0.222151 | + | 0.975012i | \(0.428692\pi\) | |||||||
\(972\) | 15.1686 | − | 5.52090i | 0.486532 | − | 0.177083i | ||||
\(973\) | 3.63487 | + | 20.6144i | 0.116529 | + | 0.660867i | ||||
\(974\) | −4.59425 | + | 26.0553i | −0.147209 | + | 0.834866i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.97847 | + | 5.15887i | 0.0953386 | + | 0.165131i | ||||
\(977\) | −12.5824 | + | 21.7934i | −0.402548 | + | 0.697233i | −0.994033 | − | 0.109083i | \(-0.965209\pi\) |
0.591485 | + | 0.806316i | \(0.298542\pi\) | |||||||
\(978\) | 6.61824 | − | 5.55336i | 0.211628 | − | 0.177577i | ||||
\(979\) | −6.23942 | + | 5.23550i | −0.199413 | + | 0.167327i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.88108 | − | 3.25813i | −0.0600583 | − | 0.104024i | ||||
\(982\) | −7.54434 | − | 2.74591i | −0.240749 | − | 0.0876256i | ||||
\(983\) | −2.23197 | + | 12.6581i | −0.0711888 | + | 0.403732i | 0.928302 | + | 0.371827i | \(0.121268\pi\) |
−0.999491 | + | 0.0319049i | \(0.989843\pi\) | |||||||
\(984\) | 1.29978 | + | 7.37139i | 0.0414353 | + | 0.234991i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.173798 | + | 0.145834i | 0.00553485 | + | 0.00464429i | ||||
\(987\) | 13.9876 | 0.445229 | ||||||||
\(988\) | 8.20893 | − | 5.45747i | 0.261161 | − | 0.173625i | ||||
\(989\) | 5.65526 | 0.179827 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.4702 | + | 7.45056i | −0.650259 | + | 0.236675i | −0.646025 | − | 0.763316i | \(-0.723570\pi\) |
−0.00423369 | + | 0.999991i | \(0.501348\pi\) | |||||||
\(992\) | 0.768149 | + | 4.35639i | 0.0243888 | + | 0.138316i | ||||
\(993\) | 3.15192 | − | 17.8754i | 0.100023 | − | 0.567260i | ||||
\(994\) | 19.6810 | + | 7.16329i | 0.624243 | + | 0.227206i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 2.46040 | − | 4.26154i | 0.0779609 | − | 0.135032i | ||||
\(997\) | −17.0267 | + | 14.2871i | −0.539240 | + | 0.452477i | −0.871278 | − | 0.490790i | \(-0.836708\pi\) |
0.332038 | + | 0.943266i | \(0.392264\pi\) | |||||||
\(998\) | −16.6204 | + | 13.9461i | −0.526108 | + | 0.441457i | ||||
\(999\) | −13.1883 | + | 22.8428i | −0.417259 | + | 0.722713i |
(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 | 950.2.l.l.301.4 | 30 | ||
5.2 | odd | 4 | 190.2.p.a.149.7 | yes | 60 | ||
5.3 | odd | 4 | 190.2.p.a.149.4 | yes | 60 | ||
5.4 | even | 2 | 950.2.l.m.301.2 | 30 | |||
19.6 | even | 9 | inner | 950.2.l.l.101.4 | 30 | ||
95.44 | even | 18 | 950.2.l.m.101.2 | 30 | |||
95.63 | odd | 36 | 190.2.p.a.139.7 | yes | 60 | ||
95.82 | odd | 36 | 190.2.p.a.139.4 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.p.a.139.4 | ✓ | 60 | 95.82 | odd | 36 | ||
190.2.p.a.139.7 | yes | 60 | 95.63 | odd | 36 | ||
190.2.p.a.149.4 | yes | 60 | 5.3 | odd | 4 | ||
190.2.p.a.149.7 | yes | 60 | 5.2 | odd | 4 | ||
950.2.l.l.101.4 | 30 | 19.6 | even | 9 | inner | ||
950.2.l.l.301.4 | 30 | 1.1 | even | 1 | trivial | ||
950.2.l.m.101.2 | 30 | 95.44 | even | 18 | |||
950.2.l.m.301.2 | 30 | 5.4 | even | 2 |