Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(47,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.47");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.f (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 47.2 | ||
Character | \(\chi\) | \(=\) | 230.47 |
Dual form | 230.3.f.b.93.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | + | 1.00000i | 0.500000 | + | 0.500000i | ||||
\(3\) | −3.54993 | + | 3.54993i | −1.18331 | + | 1.18331i | −0.204427 | + | 0.978882i | \(0.565533\pi\) |
−0.978882 | + | 0.204427i | \(0.934467\pi\) | |||||||
\(4\) | 2.00000i | 0.500000i | ||||||||
\(5\) | 3.53474 | + | 3.53633i | 0.706948 | + | 0.707266i | ||||
\(6\) | −7.09985 | −1.18331 | ||||||||
\(7\) | 9.46554 | + | 9.46554i | 1.35222 | + | 1.35222i | 0.883173 | + | 0.469047i | \(0.155403\pi\) |
0.469047 | + | 0.883173i | \(0.344597\pi\) | |||||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | − | 16.2040i | − | 1.80044i | ||||||
\(10\) | −0.00158807 | + | 7.07107i | −0.000158807 | + | 0.707107i | ||||
\(11\) | 7.06989 | 0.642717 | 0.321359 | − | 0.946958i | \(-0.395861\pi\) | ||||
0.321359 | + | 0.946958i | \(0.395861\pi\) | |||||||
\(12\) | −7.09985 | − | 7.09985i | −0.591655 | − | 0.591655i | ||||
\(13\) | −6.95822 | + | 6.95822i | −0.535247 | + | 0.535247i | −0.922129 | − | 0.386882i | \(-0.873552\pi\) |
0.386882 | + | 0.922129i | \(0.373552\pi\) | |||||||
\(14\) | 18.9311i | 1.35222i | ||||||||
\(15\) | −25.1018 | − | 0.00563754i | −1.67345 | − | 0.000375836i | ||||
\(16\) | −4.00000 | −0.250000 | ||||||||
\(17\) | −5.69985 | − | 5.69985i | −0.335285 | − | 0.335285i | 0.519304 | − | 0.854590i | \(-0.326191\pi\) |
−0.854590 | + | 0.519304i | \(0.826191\pi\) | |||||||
\(18\) | 16.2040 | − | 16.2040i | 0.900221 | − | 0.900221i | ||||
\(19\) | − | 34.4850i | − | 1.81500i | −0.420052 | − | 0.907500i | \(-0.637988\pi\) | ||
0.420052 | − | 0.907500i | \(-0.362012\pi\) | |||||||
\(20\) | −7.07266 | + | 7.06948i | −0.353633 | + | 0.353474i | ||||
\(21\) | −67.2040 | −3.20019 | ||||||||
\(22\) | 7.06989 | + | 7.06989i | 0.321359 | + | 0.321359i | ||||
\(23\) | 3.39116 | − | 3.39116i | 0.147442 | − | 0.147442i | ||||
\(24\) | − | 14.1997i | − | 0.591655i | ||||||
\(25\) | −0.0112294 | + | 25.0000i | −0.000449175 | + | 1.00000i | ||||
\(26\) | −13.9164 | −0.535247 | ||||||||
\(27\) | 25.5736 | + | 25.5736i | 0.947169 | + | 0.947169i | ||||
\(28\) | −18.9311 | + | 18.9311i | −0.676110 | + | 0.676110i | ||||
\(29\) | − | 17.8745i | − | 0.616362i | −0.951328 | − | 0.308181i | \(-0.900280\pi\) | ||
0.951328 | − | 0.308181i | \(-0.0997203\pi\) | |||||||
\(30\) | −25.0961 | − | 25.1074i | −0.836538 | − | 0.836914i | ||||
\(31\) | 44.2437 | 1.42722 | 0.713608 | − | 0.700545i | \(-0.247060\pi\) | ||||
0.713608 | + | 0.700545i | \(0.247060\pi\) | |||||||
\(32\) | −4.00000 | − | 4.00000i | −0.125000 | − | 0.125000i | ||||
\(33\) | −25.0976 | + | 25.0976i | −0.760533 | + | 0.760533i | ||||
\(34\) | − | 11.3997i | − | 0.335285i | ||||||
\(35\) | −0.0150320 | + | 66.9315i | −0.000429485 | + | 1.91233i | ||||
\(36\) | 32.4079 | 0.900221 | ||||||||
\(37\) | −0.847681 | − | 0.847681i | −0.0229103 | − | 0.0229103i | 0.695559 | − | 0.718469i | \(-0.255157\pi\) |
−0.718469 | + | 0.695559i | \(0.755157\pi\) | |||||||
\(38\) | 34.4850 | − | 34.4850i | 0.907500 | − | 0.907500i | ||||
\(39\) | − | 49.4023i | − | 1.26673i | ||||||
\(40\) | −14.1421 | − | 0.00317614i | −0.353553 | − | 7.94036e-5i | ||||
\(41\) | −38.8737 | −0.948139 | −0.474069 | − | 0.880488i | \(-0.657215\pi\) | ||||
−0.474069 | + | 0.880488i | \(0.657215\pi\) | |||||||
\(42\) | −67.2040 | − | 67.2040i | −1.60009 | − | 1.60009i | ||||
\(43\) | 20.7171 | − | 20.7171i | 0.481793 | − | 0.481793i | −0.423911 | − | 0.905704i | \(-0.639343\pi\) |
0.905704 | + | 0.423911i | \(0.139343\pi\) | |||||||
\(44\) | 14.1398i | 0.321359i | ||||||||
\(45\) | 57.3025 | − | 57.2768i | 1.27339 | − | 1.27282i | ||||
\(46\) | 6.78233 | 0.147442 | ||||||||
\(47\) | 16.1802 | + | 16.1802i | 0.344260 | + | 0.344260i | 0.857966 | − | 0.513706i | \(-0.171728\pi\) |
−0.513706 | + | 0.857966i | \(0.671728\pi\) | |||||||
\(48\) | 14.1997 | − | 14.1997i | 0.295827 | − | 0.295827i | ||||
\(49\) | 130.193i | 2.65700i | ||||||||
\(50\) | −25.0112 | + | 24.9888i | −0.500225 | + | 0.499775i | ||||
\(51\) | 40.4681 | 0.793493 | ||||||||
\(52\) | −13.9164 | − | 13.9164i | −0.267624 | − | 0.267624i | ||||
\(53\) | 67.0136 | − | 67.0136i | 1.26441 | − | 1.26441i | 0.315474 | − | 0.948934i | \(-0.397836\pi\) |
0.948934 | − | 0.315474i | \(-0.102164\pi\) | |||||||
\(54\) | 51.1471i | 0.947169i | ||||||||
\(55\) | 24.9902 | + | 25.0014i | 0.454368 | + | 0.454572i | ||||
\(56\) | −37.8622 | −0.676110 | ||||||||
\(57\) | 122.419 | + | 122.419i | 2.14771 | + | 2.14771i | ||||
\(58\) | 17.8745 | − | 17.8745i | 0.308181 | − | 0.308181i | ||||
\(59\) | 39.2085i | 0.664552i | 0.943182 | + | 0.332276i | \(0.107816\pi\) | ||||
−0.943182 | + | 0.332276i | \(0.892184\pi\) | |||||||
\(60\) | 0.0112751 | − | 50.2036i | 0.000187918 | − | 0.836726i | ||||
\(61\) | −10.2316 | −0.167730 | −0.0838652 | − | 0.996477i | \(-0.526727\pi\) | ||||
−0.0838652 | + | 0.996477i | \(0.526727\pi\) | |||||||
\(62\) | 44.2437 | + | 44.2437i | 0.713608 | + | 0.713608i | ||||
\(63\) | 153.379 | − | 153.379i | 2.43459 | − | 2.43459i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | −49.2020 | − | 0.0110501i | −0.756954 | − | 0.000170002i | ||||
\(66\) | −50.1952 | −0.760533 | ||||||||
\(67\) | −32.8500 | − | 32.8500i | −0.490299 | − | 0.490299i | 0.418101 | − | 0.908400i | \(-0.362696\pi\) |
−0.908400 | + | 0.418101i | \(0.862696\pi\) | |||||||
\(68\) | 11.3997 | − | 11.3997i | 0.167643 | − | 0.167643i | ||||
\(69\) | 24.0768i | 0.348939i | ||||||||
\(70\) | −66.9465 | + | 66.9165i | −0.956379 | + | 0.955949i | ||||
\(71\) | −50.4379 | −0.710394 | −0.355197 | − | 0.934792i | \(-0.615586\pi\) | ||||
−0.355197 | + | 0.934792i | \(0.615586\pi\) | |||||||
\(72\) | 32.4079 | + | 32.4079i | 0.450110 | + | 0.450110i | ||||
\(73\) | −66.5292 | + | 66.5292i | −0.911359 | + | 0.911359i | −0.996379 | − | 0.0850203i | \(-0.972904\pi\) |
0.0850203 | + | 0.996379i | \(0.472904\pi\) | |||||||
\(74\) | − | 1.69536i | − | 0.0229103i | ||||||
\(75\) | −88.7083 | − | 88.7880i | −1.18278 | − | 1.18384i | ||||
\(76\) | 68.9700 | 0.907500 | ||||||||
\(77\) | 66.9203 | + | 66.9203i | 0.869095 | + | 0.869095i | ||||
\(78\) | 49.4023 | − | 49.4023i | 0.633363 | − | 0.633363i | ||||
\(79\) | − | 10.1138i | − | 0.128023i | −0.997949 | − | 0.0640114i | \(-0.979611\pi\) | ||
0.997949 | − | 0.0640114i | \(-0.0203894\pi\) | |||||||
\(80\) | −14.1390 | − | 14.1453i | −0.176737 | − | 0.176816i | ||||
\(81\) | −35.7329 | −0.441147 | ||||||||
\(82\) | −38.8737 | − | 38.8737i | −0.474069 | − | 0.474069i | ||||
\(83\) | 69.4699 | − | 69.4699i | 0.836987 | − | 0.836987i | −0.151474 | − | 0.988461i | \(-0.548402\pi\) |
0.988461 | + | 0.151474i | \(0.0484021\pi\) | |||||||
\(84\) | − | 134.408i | − | 1.60009i | ||||||
\(85\) | 0.00905177 | − | 40.3040i | 0.000106491 | − | 0.474165i | ||||
\(86\) | 41.4342 | 0.481793 | ||||||||
\(87\) | 63.4532 | + | 63.4532i | 0.729347 | + | 0.729347i | ||||
\(88\) | −14.1398 | + | 14.1398i | −0.160679 | + | 0.160679i | ||||
\(89\) | 54.6197i | 0.613705i | 0.951757 | + | 0.306852i | \(0.0992758\pi\) | ||||
−0.951757 | + | 0.306852i | \(0.900724\pi\) | |||||||
\(90\) | 114.579 | + | 0.0257331i | 1.27310 | + | 0.000285923i | ||||
\(91\) | −131.727 | −1.44754 | ||||||||
\(92\) | 6.78233 | + | 6.78233i | 0.0737210 | + | 0.0737210i | ||||
\(93\) | −157.062 | + | 157.062i | −1.68884 | + | 1.68884i | ||||
\(94\) | 32.3604i | 0.344260i | ||||||||
\(95\) | 121.950 | − | 121.896i | 1.28369 | − | 1.28311i | ||||
\(96\) | 28.3994 | 0.295827 | ||||||||
\(97\) | −29.8681 | − | 29.8681i | −0.307919 | − | 0.307919i | 0.536183 | − | 0.844102i | \(-0.319866\pi\) |
−0.844102 | + | 0.536183i | \(0.819866\pi\) | |||||||
\(98\) | −130.193 | + | 130.193i | −1.32850 | + | 1.32850i | ||||
\(99\) | − | 114.560i | − | 1.15717i | ||||||
\(100\) | −50.0000 | − | 0.0224587i | −0.500000 | − | 0.000224587i | ||||
\(101\) | 35.8530 | 0.354980 | 0.177490 | − | 0.984123i | \(-0.443202\pi\) | ||||
0.177490 | + | 0.984123i | \(0.443202\pi\) | |||||||
\(102\) | 40.4681 | + | 40.4681i | 0.396746 | + | 0.396746i | ||||
\(103\) | −118.711 | + | 118.711i | −1.15253 | + | 1.15253i | −0.166489 | + | 0.986043i | \(0.553243\pi\) |
−0.986043 | + | 0.166489i | \(0.946757\pi\) | |||||||
\(104\) | − | 27.8329i | − | 0.267624i | ||||||
\(105\) | −237.549 | − | 237.655i | −2.26237 | − | 2.26338i | ||||
\(106\) | 134.027 | 1.26441 | ||||||||
\(107\) | 22.0133 | + | 22.0133i | 0.205732 | + | 0.205732i | 0.802451 | − | 0.596719i | \(-0.203529\pi\) |
−0.596719 | + | 0.802451i | \(0.703529\pi\) | |||||||
\(108\) | −51.1471 | + | 51.1471i | −0.473585 | + | 0.473585i | ||||
\(109\) | − | 84.6803i | − | 0.776884i | −0.921473 | − | 0.388442i | \(-0.873013\pi\) | ||
0.921473 | − | 0.388442i | \(-0.126987\pi\) | |||||||
\(110\) | −0.0112275 | + | 49.9917i | −0.000102068 | + | 0.454470i | ||||
\(111\) | 6.01842 | 0.0542200 | ||||||||
\(112\) | −37.8622 | − | 37.8622i | −0.338055 | − | 0.338055i | ||||
\(113\) | 28.4423 | − | 28.4423i | 0.251702 | − | 0.251702i | −0.569966 | − | 0.821668i | \(-0.693044\pi\) |
0.821668 | + | 0.569966i | \(0.193044\pi\) | |||||||
\(114\) | 244.839i | 2.14771i | ||||||||
\(115\) | 23.9792 | + | 0.00538541i | 0.208514 | + | 4.68297e-5i | ||||
\(116\) | 35.7490 | 0.308181 | ||||||||
\(117\) | 112.751 | + | 112.751i | 0.963682 | + | 0.963682i | ||||
\(118\) | −39.2085 | + | 39.2085i | −0.332276 | + | 0.332276i | ||||
\(119\) | − | 107.904i | − | 0.906759i | ||||||
\(120\) | 50.2148 | − | 50.1923i | 0.418457 | − | 0.418269i | ||||
\(121\) | −71.0167 | −0.586915 | ||||||||
\(122\) | −10.2316 | − | 10.2316i | −0.0838652 | − | 0.0838652i | ||||
\(123\) | 137.999 | − | 137.999i | 1.12194 | − | 1.12194i | ||||
\(124\) | 88.4874i | 0.713608i | ||||||||
\(125\) | −88.4479 | + | 88.3288i | −0.707583 | + | 0.706630i | ||||
\(126\) | 306.759 | 2.43459 | ||||||||
\(127\) | 136.506 | + | 136.506i | 1.07485 | + | 1.07485i | 0.996962 | + | 0.0778848i | \(0.0248166\pi\) |
0.0778848 | + | 0.996962i | \(0.475183\pi\) | |||||||
\(128\) | 8.00000 | − | 8.00000i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 147.088i | 1.14022i | ||||||||
\(130\) | −49.1910 | − | 49.2131i | −0.378392 | − | 0.378562i | ||||
\(131\) | 75.5156 | 0.576455 | 0.288228 | − | 0.957562i | \(-0.406934\pi\) | ||||
0.288228 | + | 0.957562i | \(0.406934\pi\) | |||||||
\(132\) | −50.1952 | − | 50.1952i | −0.380266 | − | 0.380266i | ||||
\(133\) | 326.419 | − | 326.419i | 2.45428 | − | 2.45428i | ||||
\(134\) | − | 65.7001i | − | 0.490299i | ||||||
\(135\) | −0.0406127 | + | 180.832i | −0.000300835 | + | 1.33950i | ||||
\(136\) | 22.7994 | 0.167643 | ||||||||
\(137\) | −130.794 | − | 130.794i | −0.954701 | − | 0.954701i | 0.0443162 | − | 0.999018i | \(-0.485889\pi\) |
−0.999018 | + | 0.0443162i | \(0.985889\pi\) | |||||||
\(138\) | −24.0768 | + | 24.0768i | −0.174469 | + | 0.174469i | ||||
\(139\) | 48.2637i | 0.347221i | 0.984814 | + | 0.173611i | \(0.0555434\pi\) | ||||
−0.984814 | + | 0.173611i | \(0.944457\pi\) | |||||||
\(140\) | −133.863 | − | 0.0300639i | −0.956164 | − | 0.000214742i | ||||
\(141\) | −114.877 | −0.814732 | ||||||||
\(142\) | −50.4379 | − | 50.4379i | −0.355197 | − | 0.355197i | ||||
\(143\) | −49.1938 | + | 49.1938i | −0.344013 | + | 0.344013i | ||||
\(144\) | 64.8159i | 0.450110i | ||||||||
\(145\) | 63.2101 | − | 63.1817i | 0.435932 | − | 0.435736i | ||||
\(146\) | −133.058 | −0.911359 | ||||||||
\(147\) | −462.176 | − | 462.176i | −3.14405 | − | 3.14405i | ||||
\(148\) | 1.69536 | − | 1.69536i | 0.0114552 | − | 0.0114552i | ||||
\(149\) | − | 265.549i | − | 1.78221i | −0.453799 | − | 0.891104i | \(-0.649932\pi\) | ||
0.453799 | − | 0.891104i | \(-0.350068\pi\) | |||||||
\(150\) | 0.0797269 | − | 177.496i | 0.000531512 | − | 1.18331i | ||||
\(151\) | 195.152 | 1.29240 | 0.646198 | − | 0.763170i | \(-0.276358\pi\) | ||||
0.646198 | + | 0.763170i | \(0.276358\pi\) | |||||||
\(152\) | 68.9700 | + | 68.9700i | 0.453750 | + | 0.453750i | ||||
\(153\) | −92.3602 | + | 92.3602i | −0.603662 | + | 0.603662i | ||||
\(154\) | 133.841i | 0.869095i | ||||||||
\(155\) | 156.390 | + | 156.460i | 1.00897 | + | 1.00942i | ||||
\(156\) | 98.8047 | 0.633363 | ||||||||
\(157\) | 194.421 | + | 194.421i | 1.23835 | + | 1.23835i | 0.960676 | + | 0.277672i | \(0.0895629\pi\) |
0.277672 | + | 0.960676i | \(0.410437\pi\) | |||||||
\(158\) | 10.1138 | − | 10.1138i | 0.0640114 | − | 0.0640114i | ||||
\(159\) | 475.787i | 2.99237i | ||||||||
\(160\) | 0.00635229 | − | 28.2843i | 3.97018e−5 | − | 0.176777i | ||||
\(161\) | 64.1984 | 0.398748 | ||||||||
\(162\) | −35.7329 | − | 35.7329i | −0.220573 | − | 0.220573i | ||||
\(163\) | −105.269 | + | 105.269i | −0.645821 | + | 0.645821i | −0.951980 | − | 0.306159i | \(-0.900956\pi\) |
0.306159 | + | 0.951980i | \(0.400956\pi\) | |||||||
\(164\) | − | 77.7474i | − | 0.474069i | ||||||
\(165\) | −177.467 | − | 0.0398568i | −1.07556 | − | 0.000241556i | ||||
\(166\) | 138.940 | 0.836987 | ||||||||
\(167\) | −95.5218 | − | 95.5218i | −0.571987 | − | 0.571987i | 0.360696 | − | 0.932683i | \(-0.382539\pi\) |
−0.932683 | + | 0.360696i | \(0.882539\pi\) | |||||||
\(168\) | 134.408 | − | 134.408i | 0.800047 | − | 0.800047i | ||||
\(169\) | 72.1664i | 0.427020i | ||||||||
\(170\) | 40.3131 | − | 40.2950i | 0.237136 | − | 0.237029i | ||||
\(171\) | −558.794 | −3.26780 | ||||||||
\(172\) | 41.4342 | + | 41.4342i | 0.240896 | + | 0.240896i | ||||
\(173\) | −98.5609 | + | 98.5609i | −0.569716 | + | 0.569716i | −0.932049 | − | 0.362333i | \(-0.881980\pi\) |
0.362333 | + | 0.932049i | \(0.381980\pi\) | |||||||
\(174\) | 126.906i | 0.729347i | ||||||||
\(175\) | −236.745 | + | 236.532i | −1.35283 | + | 1.35161i | ||||
\(176\) | −28.2796 | −0.160679 | ||||||||
\(177\) | −139.188 | − | 139.188i | −0.786370 | − | 0.786370i | ||||
\(178\) | −54.6197 | + | 54.6197i | −0.306852 | + | 0.306852i | ||||
\(179\) | − | 25.4849i | − | 0.142374i | −0.997463 | − | 0.0711869i | \(-0.977321\pi\) | ||
0.997463 | − | 0.0711869i | \(-0.0226787\pi\) | |||||||
\(180\) | 114.554 | + | 114.605i | 0.636409 | + | 0.636695i | ||||
\(181\) | −326.572 | −1.80427 | −0.902133 | − | 0.431457i | \(-0.858000\pi\) | ||||
−0.902133 | + | 0.431457i | \(0.858000\pi\) | |||||||
\(182\) | −131.727 | − | 131.727i | −0.723772 | − | 0.723772i | ||||
\(183\) | 36.3213 | − | 36.3213i | 0.198477 | − | 0.198477i | ||||
\(184\) | 13.5647i | 0.0737210i | ||||||||
\(185\) | 0.00134618 | − | 5.99401i | 7.27664e−6 | − | 0.0324001i | ||||
\(186\) | −314.124 | −1.68884 | ||||||||
\(187\) | −40.2973 | − | 40.2973i | −0.215494 | − | 0.215494i | ||||
\(188\) | −32.3604 | + | 32.3604i | −0.172130 | + | 0.172130i | ||||
\(189\) | 484.135i | 2.56156i | ||||||||
\(190\) | 243.846 | + | 0.0547647i | 1.28340 | + | 0.000288235i | ||||
\(191\) | 188.733 | 0.988129 | 0.494065 | − | 0.869425i | \(-0.335511\pi\) | ||||
0.494065 | + | 0.869425i | \(0.335511\pi\) | |||||||
\(192\) | 28.3994 | + | 28.3994i | 0.147914 | + | 0.147914i | ||||
\(193\) | −146.791 | + | 146.791i | −0.760575 | + | 0.760575i | −0.976426 | − | 0.215851i | \(-0.930748\pi\) |
0.215851 | + | 0.976426i | \(0.430748\pi\) | |||||||
\(194\) | − | 59.7362i | − | 0.307919i | ||||||
\(195\) | 174.703 | − | 174.624i | 0.895912 | − | 0.895510i | ||||
\(196\) | −260.386 | −1.32850 | ||||||||
\(197\) | −117.074 | − | 117.074i | −0.594286 | − | 0.594286i | 0.344500 | − | 0.938786i | \(-0.388048\pi\) |
−0.938786 | + | 0.344500i | \(0.888048\pi\) | |||||||
\(198\) | 114.560 | − | 114.560i | 0.578587 | − | 0.578587i | ||||
\(199\) | 71.0996i | 0.357285i | 0.983914 | + | 0.178642i | \(0.0571705\pi\) | ||||
−0.983914 | + | 0.178642i | \(0.942830\pi\) | |||||||
\(200\) | −49.9775 | − | 50.0225i | −0.249888 | − | 0.250112i | ||||
\(201\) | 233.230 | 1.16035 | ||||||||
\(202\) | 35.8530 | + | 35.8530i | 0.177490 | + | 0.177490i | ||||
\(203\) | 169.192 | − | 169.192i | 0.833458 | − | 0.833458i | ||||
\(204\) | 80.9362i | 0.396746i | ||||||||
\(205\) | −137.408 | − | 137.470i | −0.670285 | − | 0.670586i | ||||
\(206\) | −237.422 | −1.15253 | ||||||||
\(207\) | −54.9503 | − | 54.9503i | −0.265461 | − | 0.265461i | ||||
\(208\) | 27.8329 | − | 27.8329i | 0.133812 | − | 0.133812i | ||||
\(209\) | − | 243.805i | − | 1.16653i | ||||||
\(210\) | 0.106725 | − | 475.204i | 0.000508213 | − | 2.26288i | ||||
\(211\) | 62.6847 | 0.297084 | 0.148542 | − | 0.988906i | \(-0.452542\pi\) | ||||
0.148542 | + | 0.988906i | \(0.452542\pi\) | |||||||
\(212\) | 134.027 | + | 134.027i | 0.632204 | + | 0.632204i | ||||
\(213\) | 179.051 | − | 179.051i | 0.840615 | − | 0.840615i | ||||
\(214\) | 44.0266i | 0.205732i | ||||||||
\(215\) | 146.492 | + | 0.0329002i | 0.681358 | + | 0.000153024i | ||||
\(216\) | −102.294 | −0.473585 | ||||||||
\(217\) | 418.790 | + | 418.790i | 1.92991 | + | 1.92991i | ||||
\(218\) | 84.6803 | − | 84.6803i | 0.388442 | − | 0.388442i | ||||
\(219\) | − | 472.348i | − | 2.15684i | ||||||
\(220\) | −50.0029 | + | 49.9804i | −0.227286 | + | 0.227184i | ||||
\(221\) | 79.3216 | 0.358921 | ||||||||
\(222\) | 6.01842 | + | 6.01842i | 0.0271100 | + | 0.0271100i | ||||
\(223\) | 117.343 | − | 117.343i | 0.526201 | − | 0.526201i | −0.393236 | − | 0.919437i | \(-0.628645\pi\) |
0.919437 | + | 0.393236i | \(0.128645\pi\) | |||||||
\(224\) | − | 75.7243i | − | 0.338055i | ||||||
\(225\) | 405.099 | + | 0.181960i | 1.80044 | + | 0.000808712i | ||||
\(226\) | 56.8846 | 0.251702 | ||||||||
\(227\) | −119.753 | − | 119.753i | −0.527548 | − | 0.527548i | 0.392292 | − | 0.919841i | \(-0.371682\pi\) |
−0.919841 | + | 0.392292i | \(0.871682\pi\) | |||||||
\(228\) | −244.839 | + | 244.839i | −1.07385 | + | 1.07385i | ||||
\(229\) | − | 29.6939i | − | 0.129668i | −0.997896 | − | 0.0648338i | \(-0.979348\pi\) | ||
0.997896 | − | 0.0648338i | \(-0.0206517\pi\) | |||||||
\(230\) | 23.9738 | + | 23.9845i | 0.104234 | + | 0.104281i | ||||
\(231\) | −475.125 | −2.05682 | ||||||||
\(232\) | 35.7490 | + | 35.7490i | 0.154091 | + | 0.154091i | ||||
\(233\) | 74.9049 | − | 74.9049i | 0.321480 | − | 0.321480i | −0.527855 | − | 0.849335i | \(-0.677003\pi\) |
0.849335 | + | 0.527855i | \(0.177003\pi\) | |||||||
\(234\) | 225.501i | 0.963682i | ||||||||
\(235\) | −0.0256954 | + | 114.411i | −0.000109342 | + | 0.486857i | ||||
\(236\) | −78.4171 | −0.332276 | ||||||||
\(237\) | 35.9032 | + | 35.9032i | 0.151490 | + | 0.151490i | ||||
\(238\) | 107.904 | − | 107.904i | 0.453380 | − | 0.453380i | ||||
\(239\) | − | 213.990i | − | 0.895354i | −0.894195 | − | 0.447677i | \(-0.852251\pi\) | ||
0.894195 | − | 0.447677i | \(-0.147749\pi\) | |||||||
\(240\) | 100.407 | + | 0.0225502i | 0.418363 | + | 9.39590e-5i | ||||
\(241\) | 12.1580 | 0.0504483 | 0.0252241 | − | 0.999682i | \(-0.491970\pi\) | ||||
0.0252241 | + | 0.999682i | \(0.491970\pi\) | |||||||
\(242\) | −71.0167 | − | 71.0167i | −0.293457 | − | 0.293457i | ||||
\(243\) | −103.313 | + | 103.313i | −0.425156 | + | 0.425156i | ||||
\(244\) | − | 20.4631i | − | 0.0838652i | ||||||
\(245\) | −460.405 | + | 460.198i | −1.87920 | + | 1.87836i | ||||
\(246\) | 275.998 | 1.12194 | ||||||||
\(247\) | 239.954 | + | 239.954i | 0.971474 | + | 0.971474i | ||||
\(248\) | −88.4874 | + | 88.4874i | −0.356804 | + | 0.356804i | ||||
\(249\) | 493.226i | 1.98083i | ||||||||
\(250\) | −176.777 | − | 0.119105i | −0.707107 | − | 0.000476422i | ||||
\(251\) | 246.854 | 0.983484 | 0.491742 | − | 0.870741i | \(-0.336360\pi\) | ||||
0.491742 | + | 0.870741i | \(0.336360\pi\) | |||||||
\(252\) | 306.759 | + | 306.759i | 1.21730 | + | 1.21730i | ||||
\(253\) | 23.9752 | − | 23.9752i | 0.0947635 | − | 0.0947635i | ||||
\(254\) | 273.011i | 1.07485i | ||||||||
\(255\) | 143.044 | + | 143.109i | 0.560958 | + | 0.561210i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 98.2482 | + | 98.2482i | 0.382289 | + | 0.382289i | 0.871926 | − | 0.489637i | \(-0.162871\pi\) |
−0.489637 | + | 0.871926i | \(0.662871\pi\) | |||||||
\(258\) | −147.088 | + | 147.088i | −0.570110 | + | 0.570110i | ||||
\(259\) | − | 16.0475i | − | 0.0619596i | ||||||
\(260\) | 0.0221003 | − | 98.4040i | 8.50011e−5 | − | 0.378477i | ||||
\(261\) | −289.638 | −1.10972 | ||||||||
\(262\) | 75.5156 | + | 75.5156i | 0.288228 | + | 0.288228i | ||||
\(263\) | 141.958 | − | 141.958i | 0.539762 | − | 0.539762i | −0.383697 | − | 0.923459i | \(-0.625349\pi\) |
0.923459 | + | 0.383697i | \(0.125349\pi\) | |||||||
\(264\) | − | 100.390i | − | 0.380266i | ||||||
\(265\) | 473.858 | + | 0.106422i | 1.78814 | + | 0.000401594i | ||||
\(266\) | 652.839 | 2.45428 | ||||||||
\(267\) | −193.896 | − | 193.896i | −0.726203 | − | 0.726203i | ||||
\(268\) | 65.7001 | − | 65.7001i | 0.245150 | − | 0.245150i | ||||
\(269\) | − | 128.672i | − | 0.478334i | −0.970978 | − | 0.239167i | \(-0.923126\pi\) | ||
0.970978 | − | 0.239167i | \(-0.0768743\pi\) | |||||||
\(270\) | −180.873 | + | 180.792i | −0.669900 | + | 0.669599i | ||||
\(271\) | −1.78031 | −0.00656941 | −0.00328470 | − | 0.999995i | \(-0.501046\pi\) | ||||
−0.00328470 | + | 0.999995i | \(0.501046\pi\) | |||||||
\(272\) | 22.7994 | + | 22.7994i | 0.0838213 | + | 0.0838213i | ||||
\(273\) | 467.620 | − | 467.620i | 1.71289 | − | 1.71289i | ||||
\(274\) | − | 261.588i | − | 0.954701i | ||||||
\(275\) | −0.0793903 | + | 176.747i | −0.000288692 | + | 0.642717i | ||||
\(276\) | −48.1536 | −0.174469 | ||||||||
\(277\) | 117.201 | + | 117.201i | 0.423110 | + | 0.423110i | 0.886273 | − | 0.463163i | \(-0.153286\pi\) |
−0.463163 | + | 0.886273i | \(0.653286\pi\) | |||||||
\(278\) | −48.2637 | + | 48.2637i | −0.173611 | + | 0.173611i | ||||
\(279\) | − | 716.923i | − | 2.56962i | ||||||
\(280\) | −133.833 | − | 133.893i | −0.477975 | − | 0.478189i | ||||
\(281\) | 17.3126 | 0.0616106 | 0.0308053 | − | 0.999525i | \(-0.490193\pi\) | ||||
0.0308053 | + | 0.999525i | \(0.490193\pi\) | |||||||
\(282\) | −114.877 | − | 114.877i | −0.407366 | − | 0.407366i | ||||
\(283\) | −135.928 | + | 135.928i | −0.480312 | + | 0.480312i | −0.905231 | − | 0.424919i | \(-0.860302\pi\) |
0.424919 | + | 0.905231i | \(0.360302\pi\) | |||||||
\(284\) | − | 100.876i | − | 0.355197i | ||||||
\(285\) | −0.194411 | + | 865.635i | −0.000682142 | + | 3.03732i | ||||
\(286\) | −98.3876 | −0.344013 | ||||||||
\(287\) | −367.961 | − | 367.961i | −1.28209 | − | 1.28209i | ||||
\(288\) | −64.8159 | + | 64.8159i | −0.225055 | + | 0.225055i | ||||
\(289\) | − | 224.023i | − | 0.775167i | ||||||
\(290\) | 126.392 | + | 0.0283860i | 0.435834 | + | 9.78828e-5i | ||||
\(291\) | 212.059 | 0.728726 | ||||||||
\(292\) | −133.058 | − | 133.058i | −0.455679 | − | 0.455679i | ||||
\(293\) | 270.859 | − | 270.859i | 0.924434 | − | 0.924434i | −0.0729054 | − | 0.997339i | \(-0.523227\pi\) |
0.997339 | + | 0.0729054i | \(0.0232271\pi\) | |||||||
\(294\) | − | 924.351i | − | 3.14405i | ||||||
\(295\) | −138.654 | + | 138.592i | −0.470015 | + | 0.469803i | ||||
\(296\) | 3.39073 | 0.0114552 | ||||||||
\(297\) | 180.802 | + | 180.802i | 0.608762 | + | 0.608762i | ||||
\(298\) | 265.549 | − | 265.549i | 0.891104 | − | 0.891104i | ||||
\(299\) | 47.1929i | 0.157836i | ||||||||
\(300\) | 177.576 | − | 177.417i | 0.591920 | − | 0.591389i | ||||
\(301\) | 392.197 | 1.30298 | ||||||||
\(302\) | 195.152 | + | 195.152i | 0.646198 | + | 0.646198i | ||||
\(303\) | −127.275 | + | 127.275i | −0.420051 | + | 0.420051i | ||||
\(304\) | 137.940i | 0.453750i | ||||||||
\(305\) | −36.1659 | − | 36.1821i | −0.118577 | − | 0.118630i | ||||
\(306\) | −184.720 | −0.603662 | ||||||||
\(307\) | −239.476 | − | 239.476i | −0.780052 | − | 0.780052i | 0.199787 | − | 0.979839i | \(-0.435975\pi\) |
−0.979839 | + | 0.199787i | \(0.935975\pi\) | |||||||
\(308\) | −133.841 | + | 133.841i | −0.434548 | + | 0.434548i | ||||
\(309\) | − | 842.829i | − | 2.72760i | ||||||
\(310\) | −0.0702622 | + | 312.850i | −0.000226652 | + | 1.00919i | ||||
\(311\) | 222.369 | 0.715014 | 0.357507 | − | 0.933911i | \(-0.383627\pi\) | ||||
0.357507 | + | 0.933911i | \(0.383627\pi\) | |||||||
\(312\) | 98.8047 | + | 98.8047i | 0.316682 | + | 0.316682i | ||||
\(313\) | 244.143 | − | 244.143i | 0.780011 | − | 0.780011i | −0.199822 | − | 0.979832i | \(-0.564036\pi\) |
0.979832 | + | 0.199822i | \(0.0640362\pi\) | |||||||
\(314\) | 388.841i | 1.23835i | ||||||||
\(315\) | 1084.56 | + | 0.243577i | 3.44303 | + | 0.000773262i | ||||
\(316\) | 20.2276 | 0.0640114 | ||||||||
\(317\) | −156.030 | − | 156.030i | −0.492209 | − | 0.492209i | 0.416792 | − | 0.909002i | \(-0.363154\pi\) |
−0.909002 | + | 0.416792i | \(0.863154\pi\) | |||||||
\(318\) | −475.787 | + | 475.787i | −1.49619 | + | 1.49619i | ||||
\(319\) | − | 126.371i | − | 0.396147i | ||||||
\(320\) | 28.2906 | − | 28.2779i | 0.0884082 | − | 0.0883685i | ||||
\(321\) | −156.291 | −0.486889 | ||||||||
\(322\) | 64.1984 | + | 64.1984i | 0.199374 | + | 0.199374i | ||||
\(323\) | −196.559 | + | 196.559i | −0.608543 | + | 0.608543i | ||||
\(324\) | − | 71.4658i | − | 0.220573i | ||||||
\(325\) | −173.877 | − | 174.034i | −0.535007 | − | 0.535488i | ||||
\(326\) | −210.538 | −0.645821 | ||||||||
\(327\) | 300.609 | + | 300.609i | 0.919293 | + | 0.919293i | ||||
\(328\) | 77.7474 | − | 77.7474i | 0.237035 | − | 0.237035i | ||||
\(329\) | 306.309i | 0.931031i | ||||||||
\(330\) | −177.427 | − | 177.507i | −0.537657 | − | 0.537899i | ||||
\(331\) | 335.345 | 1.01313 | 0.506563 | − | 0.862203i | \(-0.330916\pi\) | ||||
0.506563 | + | 0.862203i | \(0.330916\pi\) | |||||||
\(332\) | 138.940 | + | 138.940i | 0.418493 | + | 0.418493i | ||||
\(333\) | −13.7358 | + | 13.7358i | −0.0412487 | + | 0.0412487i | ||||
\(334\) | − | 191.044i | − | 0.571987i | ||||||
\(335\) | 0.0521682 | − | 232.285i | 0.000155726 | − | 0.693388i | ||||
\(336\) | 268.816 | 0.800047 | ||||||||
\(337\) | −288.096 | − | 288.096i | −0.854883 | − | 0.854883i | 0.135847 | − | 0.990730i | \(-0.456624\pi\) |
−0.990730 | + | 0.135847i | \(0.956624\pi\) | |||||||
\(338\) | −72.1664 | + | 72.1664i | −0.213510 | + | 0.213510i | ||||
\(339\) | 201.936i | 0.595682i | ||||||||
\(340\) | 80.6081 | + | 0.0181035i | 0.237083 | + | 5.32457e-5i | ||||
\(341\) | 312.798 | 0.917296 | ||||||||
\(342\) | −558.794 | − | 558.794i | −1.63390 | − | 1.63390i | ||||
\(343\) | −768.535 | + | 768.535i | −2.24063 | + | 2.24063i | ||||
\(344\) | 82.8683i | 0.240896i | ||||||||
\(345\) | −85.1434 | + | 85.1051i | −0.246792 | + | 0.246682i | ||||
\(346\) | −197.122 | −0.569716 | ||||||||
\(347\) | −104.868 | − | 104.868i | −0.302212 | − | 0.302212i | 0.539666 | − | 0.841879i | \(-0.318550\pi\) |
−0.841879 | + | 0.539666i | \(0.818550\pi\) | |||||||
\(348\) | −126.906 | + | 126.906i | −0.364674 | + | 0.364674i | ||||
\(349\) | 287.151i | 0.822783i | 0.911459 | + | 0.411391i | \(0.134957\pi\) | ||||
−0.911459 | + | 0.411391i | \(0.865043\pi\) | |||||||
\(350\) | −473.277 | − | 0.212584i | −1.35222 | − | 0.000607383i | ||||
\(351\) | −355.893 | −1.01394 | ||||||||
\(352\) | −28.2796 | − | 28.2796i | −0.0803396 | − | 0.0803396i | ||||
\(353\) | −193.073 | + | 193.073i | −0.546950 | + | 0.546950i | −0.925557 | − | 0.378608i | \(-0.876403\pi\) |
0.378608 | + | 0.925557i | \(0.376403\pi\) | |||||||
\(354\) | − | 278.375i | − | 0.786370i | ||||||
\(355\) | −178.285 | − | 178.365i | −0.502211 | − | 0.502437i | ||||
\(356\) | −109.239 | −0.306852 | ||||||||
\(357\) | 383.053 | + | 383.053i | 1.07298 | + | 1.07298i | ||||
\(358\) | 25.4849 | − | 25.4849i | 0.0711869 | − | 0.0711869i | ||||
\(359\) | − | 269.618i | − | 0.751024i | −0.926817 | − | 0.375512i | \(-0.877467\pi\) | ||
0.926817 | − | 0.375512i | \(-0.122533\pi\) | |||||||
\(360\) | −0.0514661 | + | 229.159i | −0.000142961 | + | 0.636552i | ||||
\(361\) | −828.216 | −2.29423 | ||||||||
\(362\) | −326.572 | − | 326.572i | −0.902133 | − | 0.902133i | ||||
\(363\) | 252.104 | − | 252.104i | 0.694502 | − | 0.694502i | ||||
\(364\) | − | 263.453i | − | 0.723772i | ||||||
\(365\) | −470.432 | − | 0.105653i | −1.28886 | − | 0.000289461i | ||||
\(366\) | 72.6425 | 0.198477 | ||||||||
\(367\) | 434.802 | + | 434.802i | 1.18475 | + | 1.18475i | 0.978500 | + | 0.206246i | \(0.0661248\pi\) |
0.206246 | + | 0.978500i | \(0.433875\pi\) | |||||||
\(368\) | −13.5647 | + | 13.5647i | −0.0368605 | + | 0.0368605i | ||||
\(369\) | 629.908i | 1.70707i | ||||||||
\(370\) | 5.99536 | − | 5.99267i | 0.0162037 | − | 0.0161964i | ||||
\(371\) | 1268.64 | 3.41952 | ||||||||
\(372\) | −314.124 | − | 314.124i | −0.844419 | − | 0.844419i | ||||
\(373\) | −131.607 | + | 131.607i | −0.352835 | + | 0.352835i | −0.861163 | − | 0.508328i | \(-0.830264\pi\) |
0.508328 | + | 0.861163i | \(0.330264\pi\) | |||||||
\(374\) | − | 80.5946i | − | 0.215494i | ||||||
\(375\) | 0.422815 | − | 627.544i | 0.00112751 | − | 1.67345i | ||||
\(376\) | −64.7209 | −0.172130 | ||||||||
\(377\) | 124.375 | + | 124.375i | 0.329906 | + | 0.329906i | ||||
\(378\) | −484.135 | + | 484.135i | −1.28078 | + | 1.28078i | ||||
\(379\) | − | 204.936i | − | 0.540727i | −0.962758 | − | 0.270364i | \(-0.912856\pi\) | ||
0.962758 | − | 0.270364i | \(-0.0871439\pi\) | |||||||
\(380\) | 243.791 | + | 243.901i | 0.641555 | + | 0.641844i | ||||
\(381\) | −969.170 | −2.54375 | ||||||||
\(382\) | 188.733 | + | 188.733i | 0.494065 | + | 0.494065i | ||||
\(383\) | −196.483 | + | 196.483i | −0.513011 | + | 0.513011i | −0.915448 | − | 0.402437i | \(-0.868163\pi\) |
0.402437 | + | 0.915448i | \(0.368163\pi\) | |||||||
\(384\) | 56.7988i | 0.147914i | ||||||||
\(385\) | −0.106274 | + | 473.198i | −0.000276037 | + | 1.22909i | ||||
\(386\) | −293.582 | −0.760575 | ||||||||
\(387\) | −335.699 | − | 335.699i | −0.867439 | − | 0.867439i | ||||
\(388\) | 59.7362 | − | 59.7362i | 0.153959 | − | 0.153959i | ||||
\(389\) | − | 542.460i | − | 1.39450i | −0.716828 | − | 0.697250i | \(-0.754407\pi\) | ||
0.716828 | − | 0.697250i | \(-0.245593\pi\) | |||||||
\(390\) | 349.327 | + | 0.0784545i | 0.895711 | + | 0.000201165i | ||||
\(391\) | −38.6583 | −0.0988703 | ||||||||
\(392\) | −260.386 | − | 260.386i | −0.664250 | − | 0.664250i | ||||
\(393\) | −268.075 | + | 268.075i | −0.682125 | + | 0.682125i | ||||
\(394\) | − | 234.149i | − | 0.594286i | ||||||
\(395\) | 35.7657 | − | 35.7496i | 0.0905461 | − | 0.0905054i | ||||
\(396\) | 229.120 | 0.578587 | ||||||||
\(397\) | −176.892 | − | 176.892i | −0.445572 | − | 0.445572i | 0.448307 | − | 0.893879i | \(-0.352027\pi\) |
−0.893879 | + | 0.448307i | \(0.852027\pi\) | |||||||
\(398\) | −71.0996 | + | 71.0996i | −0.178642 | + | 0.178642i | ||||
\(399\) | 2317.53i | 5.80834i | ||||||||
\(400\) | 0.0449175 | − | 100.000i | 0.000112294 | − | 0.250000i | ||||
\(401\) | −734.716 | −1.83221 | −0.916105 | − | 0.400939i | \(-0.868684\pi\) | ||||
−0.916105 | + | 0.400939i | \(0.868684\pi\) | |||||||
\(402\) | 233.230 | + | 233.230i | 0.580175 | + | 0.580175i | ||||
\(403\) | −307.857 | + | 307.857i | −0.763914 | + | 0.763914i | ||||
\(404\) | 71.7059i | 0.177490i | ||||||||
\(405\) | −126.306 | − | 126.363i | −0.311868 | − | 0.312008i | ||||
\(406\) | 338.384 | 0.833458 | ||||||||
\(407\) | −5.99301 | − | 5.99301i | −0.0147248 | − | 0.0147248i | ||||
\(408\) | −80.9362 | + | 80.9362i | −0.198373 | + | 0.198373i | ||||
\(409\) | − | 153.786i | − | 0.376005i | −0.982169 | − | 0.188003i | \(-0.939799\pi\) | ||
0.982169 | − | 0.188003i | \(-0.0602014\pi\) | |||||||
\(410\) | 0.0617342 | − | 274.878i | 0.000150571 | − | 0.670435i | ||||
\(411\) | 928.619 | 2.25941 | ||||||||
\(412\) | −237.422 | − | 237.422i | −0.576266 | − | 0.576266i | ||||
\(413\) | −371.130 | + | 371.130i | −0.898620 | + | 0.898620i | ||||
\(414\) | − | 109.901i | − | 0.265461i | ||||||
\(415\) | 491.226 | + | 0.110323i | 1.18368 | + | 0.000265839i | ||||
\(416\) | 55.6657 | 0.133812 | ||||||||
\(417\) | −171.333 | − | 171.333i | −0.410870 | − | 0.410870i | ||||
\(418\) | 243.805 | − | 243.805i | 0.583266 | − | 0.583266i | ||||
\(419\) | − | 259.536i | − | 0.619418i | −0.950831 | − | 0.309709i | \(-0.899768\pi\) | ||
0.950831 | − | 0.309709i | \(-0.100232\pi\) | |||||||
\(420\) | 475.311 | − | 475.097i | 1.13169 | − | 1.13118i | ||||
\(421\) | 113.209 | 0.268906 | 0.134453 | − | 0.990920i | \(-0.457072\pi\) | ||||
0.134453 | + | 0.990920i | \(0.457072\pi\) | |||||||
\(422\) | 62.6847 | + | 62.6847i | 0.148542 | + | 0.148542i | ||||
\(423\) | 262.184 | − | 262.184i | 0.619820 | − | 0.619820i | ||||
\(424\) | 268.055i | 0.632204i | ||||||||
\(425\) | 142.560 | − | 142.432i | 0.335436 | − | 0.335135i | ||||
\(426\) | 358.102 | 0.840615 | ||||||||
\(427\) | −96.8472 | − | 96.8472i | −0.226808 | − | 0.226808i | ||||
\(428\) | −44.0266 | + | 44.0266i | −0.102866 | + | 0.102866i | ||||
\(429\) | − | 349.269i | − | 0.814147i | ||||||
\(430\) | 146.459 | + | 146.525i | 0.340602 | + | 0.340755i | ||||
\(431\) | −450.882 | −1.04613 | −0.523065 | − | 0.852293i | \(-0.675212\pi\) | ||||
−0.523065 | + | 0.852293i | \(0.675212\pi\) | |||||||
\(432\) | −102.294 | − | 102.294i | −0.236792 | − | 0.236792i | ||||
\(433\) | 177.577 | − | 177.577i | 0.410108 | − | 0.410108i | −0.471668 | − | 0.881776i | \(-0.656348\pi\) |
0.881776 | + | 0.471668i | \(0.156348\pi\) | |||||||
\(434\) | 837.581i | 1.92991i | ||||||||
\(435\) | −0.100768 | + | 448.682i | −0.000231651 | + | 1.03145i | ||||
\(436\) | 169.361 | 0.388442 | ||||||||
\(437\) | −116.944 | − | 116.944i | −0.267607 | − | 0.267607i | ||||
\(438\) | 472.348 | − | 472.348i | 1.07842 | − | 1.07842i | ||||
\(439\) | − | 713.713i | − | 1.62577i | −0.582425 | − | 0.812884i | \(-0.697896\pi\) | ||
0.582425 | − | 0.812884i | \(-0.302104\pi\) | |||||||
\(440\) | −99.9833 | − | 0.0224550i | −0.227235 | − | 5.10340e-5i | ||||
\(441\) | 2109.64 | 4.78377 | ||||||||
\(442\) | 79.3216 | + | 79.3216i | 0.179461 | + | 0.179461i | ||||
\(443\) | −279.293 | + | 279.293i | −0.630457 | + | 0.630457i | −0.948183 | − | 0.317725i | \(-0.897081\pi\) |
0.317725 | + | 0.948183i | \(0.397081\pi\) | |||||||
\(444\) | 12.0368i | 0.0271100i | ||||||||
\(445\) | −193.153 | + | 193.067i | −0.434052 | + | 0.433857i | ||||
\(446\) | 234.686 | 0.526201 | ||||||||
\(447\) | 942.679 | + | 942.679i | 2.10890 | + | 2.10890i | ||||
\(448\) | 75.7243 | − | 75.7243i | 0.169028 | − | 0.169028i | ||||
\(449\) | − | 541.558i | − | 1.20614i | −0.797687 | − | 0.603071i | \(-0.793943\pi\) | ||
0.797687 | − | 0.603071i | \(-0.206057\pi\) | |||||||
\(450\) | 404.917 | + | 405.281i | 0.899816 | + | 0.900625i | ||||
\(451\) | −274.833 | −0.609385 | ||||||||
\(452\) | 56.8846 | + | 56.8846i | 0.125851 | + | 0.125851i | ||||
\(453\) | −692.775 | + | 692.775i | −1.52930 | + | 1.52930i | ||||
\(454\) | − | 239.507i | − | 0.527548i | ||||||
\(455\) | −465.619 | − | 465.828i | −1.02334 | − | 1.02380i | ||||
\(456\) | −489.677 | −1.07385 | ||||||||
\(457\) | 408.672 | + | 408.672i | 0.894249 | + | 0.894249i | 0.994920 | − | 0.100670i | \(-0.0320988\pi\) |
−0.100670 | + | 0.994920i | \(0.532099\pi\) | |||||||
\(458\) | 29.6939 | − | 29.6939i | 0.0648338 | − | 0.0648338i | ||||
\(459\) | − | 291.531i | − | 0.635144i | ||||||
\(460\) | −0.0107708 | + | 47.9583i | −2.34148e−5 | + | 0.104257i | ||||
\(461\) | 130.430 | 0.282928 | 0.141464 | − | 0.989943i | \(-0.454819\pi\) | ||||
0.141464 | + | 0.989943i | \(0.454819\pi\) | |||||||
\(462\) | −475.125 | − | 475.125i | −1.02841 | − | 1.02841i | ||||
\(463\) | −415.078 | + | 415.078i | −0.896496 | + | 0.896496i | −0.995124 | − | 0.0986285i | \(-0.968554\pi\) |
0.0986285 | + | 0.995124i | \(0.468554\pi\) | |||||||
\(464\) | 71.4980i | 0.154091i | ||||||||
\(465\) | −1110.60 | − | 0.249426i | −2.38838 | − | 0.000536399i | ||||
\(466\) | 149.810 | 0.321480 | ||||||||
\(467\) | 116.835 | + | 116.835i | 0.250183 | + | 0.250183i | 0.821046 | − | 0.570863i | \(-0.193391\pi\) |
−0.570863 | + | 0.821046i | \(0.693391\pi\) | |||||||
\(468\) | −225.501 | + | 225.501i | −0.481841 | + | 0.481841i | ||||
\(469\) | − | 621.887i | − | 1.32598i | ||||||
\(470\) | −114.437 | + | 114.386i | −0.243483 | + | 0.243374i | ||||
\(471\) | −1380.36 | −2.93070 | ||||||||
\(472\) | −78.4171 | − | 78.4171i | −0.166138 | − | 0.166138i | ||||
\(473\) | 146.467 | − | 146.467i | 0.309656 | − | 0.309656i | ||||
\(474\) | 71.8065i | 0.151490i | ||||||||
\(475\) | 862.125 | + | 0.387245i | 1.81500 | + | 0.000815252i | ||||
\(476\) | 215.809 | 0.453380 | ||||||||
\(477\) | −1085.89 | − | 1085.89i | −2.27649 | − | 2.27649i | ||||
\(478\) | 213.990 | − | 213.990i | 0.447677 | − | 0.447677i | ||||
\(479\) | 426.572i | 0.890546i | 0.895395 | + | 0.445273i | \(0.146893\pi\) | ||||
−0.895395 | + | 0.445273i | \(0.853107\pi\) | |||||||
\(480\) | 100.385 | + | 100.430i | 0.209134 | + | 0.209228i | ||||
\(481\) | 11.7967 | 0.0245254 | ||||||||
\(482\) | 12.1580 | + | 12.1580i | 0.0252241 | + | 0.0252241i | ||||
\(483\) | −227.900 | + | 227.900i | −0.471842 | + | 0.471842i | ||||
\(484\) | − | 142.033i | − | 0.293457i | ||||||
\(485\) | 0.0474327 | − | 211.199i | 9.77994e−5 | − | 0.435463i | ||||
\(486\) | −206.626 | −0.425156 | ||||||||
\(487\) | 129.475 | + | 129.475i | 0.265863 | + | 0.265863i | 0.827431 | − | 0.561568i | \(-0.189802\pi\) |
−0.561568 | + | 0.827431i | \(0.689802\pi\) | |||||||
\(488\) | 20.4631 | − | 20.4631i | 0.0419326 | − | 0.0419326i | ||||
\(489\) | − | 747.394i | − | 1.52841i | ||||||
\(490\) | −920.603 | − | 0.206756i | −1.87878 | − | 0.000421951i | ||||
\(491\) | −280.807 | −0.571908 | −0.285954 | − | 0.958243i | \(-0.592310\pi\) | ||||
−0.285954 | + | 0.958243i | \(0.592310\pi\) | |||||||
\(492\) | 275.998 | + | 275.998i | 0.560971 | + | 0.560971i | ||||
\(493\) | −101.882 | + | 101.882i | −0.206657 | + | 0.206657i | ||||
\(494\) | 479.908i | 0.971474i | ||||||||
\(495\) | 405.123 | − | 404.941i | 0.818429 | − | 0.818062i | ||||
\(496\) | −176.975 | −0.356804 | ||||||||
\(497\) | −477.422 | − | 477.422i | −0.960609 | − | 0.960609i | ||||
\(498\) | −493.226 | + | 493.226i | −0.990414 | + | 0.990414i | ||||
\(499\) | 525.230i | 1.05256i | 0.850310 | + | 0.526282i | \(0.176414\pi\) | ||||
−0.850310 | + | 0.526282i | \(0.823586\pi\) | |||||||
\(500\) | −176.658 | − | 176.896i | −0.353315 | − | 0.353792i | ||||
\(501\) | 678.191 | 1.35367 | ||||||||
\(502\) | 246.854 | + | 246.854i | 0.491742 | + | 0.491742i | ||||
\(503\) | 546.330 | − | 546.330i | 1.08614 | − | 1.08614i | 0.0902219 | − | 0.995922i | \(-0.471242\pi\) |
0.995922 | − | 0.0902219i | \(-0.0287576\pi\) | |||||||
\(504\) | 613.517i | 1.21730i | ||||||||
\(505\) | 126.731 | + | 126.788i | 0.250952 | + | 0.251065i | ||||
\(506\) | 47.9503 | 0.0947635 | ||||||||
\(507\) | −256.186 | − | 256.186i | −0.505297 | − | 0.505297i | ||||
\(508\) | −273.011 | + | 273.011i | −0.537424 | + | 0.537424i | ||||
\(509\) | 382.232i | 0.750946i | 0.926833 | + | 0.375473i | \(0.122520\pi\) | ||||
−0.926833 | + | 0.375473i | \(0.877480\pi\) | |||||||
\(510\) | −0.0642663 | + | 286.153i | −0.000126012 | + | 0.561084i | ||||
\(511\) | −1259.47 | −2.46472 | ||||||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 881.905 | − | 881.905i | 1.71911 | − | 1.71911i | ||||
\(514\) | 196.496i | 0.382289i | ||||||||
\(515\) | −839.412 | − | 0.188521i | −1.62993 | − | 0.000366061i | ||||
\(516\) | −294.177 | −0.570110 | ||||||||
\(517\) | 114.392 | + | 114.392i | 0.221262 | + | 0.221262i | ||||
\(518\) | 16.0475 | − | 16.0475i | 0.0309798 | − | 0.0309798i | ||||
\(519\) | − | 699.768i | − | 1.34830i | ||||||
\(520\) | 98.4262 | − | 98.3819i | 0.189281 | − | 0.189196i | ||||
\(521\) | 890.745 | 1.70968 | 0.854842 | − | 0.518889i | \(-0.173654\pi\) | ||||
0.854842 | + | 0.518889i | \(0.173654\pi\) | |||||||
\(522\) | −289.638 | − | 289.638i | −0.554862 | − | 0.554862i | ||||
\(523\) | −454.620 | + | 454.620i | −0.869254 | + | 0.869254i | −0.992390 | − | 0.123136i | \(-0.960705\pi\) |
0.123136 | + | 0.992390i | \(0.460705\pi\) | |||||||
\(524\) | 151.031i | 0.288228i | ||||||||
\(525\) | 0.754658 | − | 1680.10i | 0.00143744 | − | 3.20019i | ||||
\(526\) | 283.915 | 0.539762 | ||||||||
\(527\) | −252.182 | − | 252.182i | −0.478525 | − | 0.478525i | ||||
\(528\) | 100.390 | − | 100.390i | 0.190133 | − | 0.190133i | ||||
\(529\) | − | 23.0000i | − | 0.0434783i | ||||||
\(530\) | 473.752 | + | 473.964i | 0.893871 | + | 0.894272i | ||||
\(531\) | 635.334 | 1.19649 | ||||||||
\(532\) | 652.839 | + | 652.839i | 1.22714 | + | 1.22714i | ||||
\(533\) | 270.492 | − | 270.492i | 0.507489 | − | 0.507489i | ||||
\(534\) | − | 387.792i | − | 0.726203i | ||||||
\(535\) | −0.0349587 | + | 155.658i | −6.53434e−5 | + | 0.290949i | ||||
\(536\) | 131.400 | 0.245150 | ||||||||
\(537\) | 90.4695 | + | 90.4695i | 0.168472 | + | 0.168472i | ||||
\(538\) | 128.672 | − | 128.672i | 0.239167 | − | 0.239167i | ||||
\(539\) | 920.450i | 1.70770i | ||||||||
\(540\) | −361.665 | − | 0.0812253i | −0.669750 | − | 0.000150417i | ||||
\(541\) | −31.2712 | −0.0578025 | −0.0289013 | − | 0.999582i | \(-0.509201\pi\) | ||||
−0.0289013 | + | 0.999582i | \(0.509201\pi\) | |||||||
\(542\) | −1.78031 | − | 1.78031i | −0.00328470 | − | 0.00328470i | ||||
\(543\) | 1159.31 | − | 1159.31i | 2.13501 | − | 2.13501i | ||||
\(544\) | 45.5988i | 0.0838213i | ||||||||
\(545\) | 299.457 | − | 299.323i | 0.549463 | − | 0.549216i | ||||
\(546\) | 935.240 | 1.71289 | ||||||||
\(547\) | −128.742 | − | 128.742i | −0.235360 | − | 0.235360i | 0.579566 | − | 0.814925i | \(-0.303222\pi\) |
−0.814925 | + | 0.579566i | \(0.803222\pi\) | |||||||
\(548\) | 261.588 | − | 261.588i | 0.477351 | − | 0.477351i | ||||
\(549\) | 165.792i | 0.301989i | ||||||||
\(550\) | −176.827 | + | 176.668i | −0.321503 | + | 0.321214i | ||||
\(551\) | −616.403 | −1.11870 | ||||||||
\(552\) | −48.1536 | − | 48.1536i | −0.0872347 | − | 0.0872347i | ||||
\(553\) | 95.7326 | − | 95.7326i | 0.173115 | − | 0.173115i | ||||
\(554\) | 234.403i | 0.423110i | ||||||||
\(555\) | 21.2735 | + | 21.2831i | 0.0383307 | + | 0.0383479i | ||||
\(556\) | −96.5274 | −0.173611 | ||||||||
\(557\) | 332.522 | + | 332.522i | 0.596987 | + | 0.596987i | 0.939510 | − | 0.342523i | \(-0.111281\pi\) |
−0.342523 | + | 0.939510i | \(0.611281\pi\) | |||||||
\(558\) | 716.923 | − | 716.923i | 1.28481 | − | 1.28481i | ||||
\(559\) | 288.308i | 0.515756i | ||||||||
\(560\) | 0.0601278 | − | 267.726i | 0.000107371 | − | 0.478082i | ||||
\(561\) | 286.105 | 0.509991 | ||||||||
\(562\) | 17.3126 | + | 17.3126i | 0.0308053 | + | 0.0308053i | ||||
\(563\) | −673.400 | + | 673.400i | −1.19609 | + | 1.19609i | −0.220765 | + | 0.975327i | \(0.570855\pi\) |
−0.975327 | + | 0.220765i | \(0.929145\pi\) | |||||||
\(564\) | − | 229.754i | − | 0.407366i | ||||||
\(565\) | 201.117 | + | 0.0451684i | 0.355960 | + | 7.99441e-5i | ||||
\(566\) | −271.856 | −0.480312 | ||||||||
\(567\) | −338.231 | − | 338.231i | −0.596528 | − | 0.596528i | ||||
\(568\) | 100.876 | − | 100.876i | 0.177598 | − | 0.177598i | ||||
\(569\) | 39.7127i | 0.0697939i | 0.999391 | + | 0.0348969i | \(0.0111103\pi\) | ||||
−0.999391 | + | 0.0348969i | \(0.988890\pi\) | |||||||
\(570\) | −865.829 | + | 865.441i | −1.51900 | + | 1.51832i | ||||
\(571\) | 212.890 | 0.372837 | 0.186419 | − | 0.982470i | \(-0.440312\pi\) | ||||
0.186419 | + | 0.982470i | \(0.440312\pi\) | |||||||
\(572\) | −98.3876 | − | 98.3876i | −0.172006 | − | 0.172006i | ||||
\(573\) | −669.987 | + | 669.987i | −1.16926 | + | 1.16926i | ||||
\(574\) | − | 735.921i | − | 1.28209i | ||||||
\(575\) | 84.7410 | + | 84.8172i | 0.147376 | + | 0.147508i | ||||
\(576\) | −129.632 | −0.225055 | ||||||||
\(577\) | 503.393 | + | 503.393i | 0.872431 | + | 0.872431i | 0.992737 | − | 0.120306i | \(-0.0383875\pi\) |
−0.120306 | + | 0.992737i | \(0.538388\pi\) | |||||||
\(578\) | 224.023 | − | 224.023i | 0.387584 | − | 0.387584i | ||||
\(579\) | − | 1042.20i | − | 1.79999i | ||||||
\(580\) | 126.363 | + | 126.420i | 0.217868 | + | 0.217966i | ||||
\(581\) | 1315.14 | 2.26358 | ||||||||
\(582\) | 212.059 | + | 212.059i | 0.364363 | + | 0.364363i | ||||
\(583\) | 473.779 | − | 473.779i | 0.812657 | − | 0.812657i | ||||
\(584\) | − | 266.117i | − | 0.455679i | ||||||
\(585\) | −0.179056 | + | 797.268i | −0.000306079 | + | 1.36285i | ||||
\(586\) | 541.718 | 0.924434 | ||||||||
\(587\) | −201.749 | − | 201.749i | −0.343695 | − | 0.343695i | 0.514060 | − | 0.857755i | \(-0.328141\pi\) |
−0.857755 | + | 0.514060i | \(0.828141\pi\) | |||||||
\(588\) | 924.351 | − | 924.351i | 1.57203 | − | 1.57203i | ||||
\(589\) | − | 1525.74i | − | 2.59040i | ||||||
\(590\) | −277.246 | − | 0.0622660i | −0.469909 | − | 0.000105536i | ||||
\(591\) | 831.211 | 1.40645 | ||||||||
\(592\) | 3.39073 | + | 3.39073i | 0.00572758 | + | 0.00572758i | ||||
\(593\) | −493.576 | + | 493.576i | −0.832337 | + | 0.832337i | −0.987836 | − | 0.155499i | \(-0.950302\pi\) |
0.155499 | + | 0.987836i | \(0.450302\pi\) | |||||||
\(594\) | 361.605i | 0.608762i | ||||||||
\(595\) | 381.585 | − | 381.414i | 0.641320 | − | 0.641032i | ||||
\(596\) | 531.098 | 0.891104 | ||||||||
\(597\) | −252.399 | − | 252.399i | −0.422778 | − | 0.422778i | ||||
\(598\) | −47.1929 | + | 47.1929i | −0.0789179 | + | 0.0789179i | ||||
\(599\) | 378.431i | 0.631771i | 0.948797 | + | 0.315886i | \(0.102302\pi\) | ||||
−0.948797 | + | 0.315886i | \(0.897698\pi\) | |||||||
\(600\) | 354.993 | + | 0.159454i | 0.591655 | + | 0.000265756i | ||||
\(601\) | −1015.33 | −1.68941 | −0.844703 | − | 0.535235i | \(-0.820223\pi\) | ||||
−0.844703 | + | 0.535235i | \(0.820223\pi\) | |||||||
\(602\) | 392.197 | + | 392.197i | 0.651490 | + | 0.651490i | ||||
\(603\) | −532.301 | + | 532.301i | −0.882755 | + | 0.882755i | ||||
\(604\) | 390.304i | 0.646198i | ||||||||
\(605\) | −251.026 | − | 251.138i | −0.414918 | − | 0.415105i | ||||
\(606\) | −254.551 | −0.420051 | ||||||||
\(607\) | −557.733 | − | 557.733i | −0.918835 | − | 0.918835i | 0.0781094 | − | 0.996945i | \(-0.475112\pi\) |
−0.996945 | + | 0.0781094i | \(0.975112\pi\) | |||||||
\(608\) | −137.940 | + | 137.940i | −0.226875 | + | 0.226875i | ||||
\(609\) | 1201.24i | 1.97248i | ||||||||
\(610\) | 0.0162484 | − | 72.3480i | 2.66368e−5 | − | 0.118603i | ||||
\(611\) | −225.171 | −0.368529 | ||||||||
\(612\) | −184.720 | − | 184.720i | −0.301831 | − | 0.301831i | ||||
\(613\) | −162.839 | + | 162.839i | −0.265643 | + | 0.265643i | −0.827342 | − | 0.561699i | \(-0.810148\pi\) |
0.561699 | + | 0.827342i | \(0.310148\pi\) | |||||||
\(614\) | − | 478.952i | − | 0.780052i | ||||||
\(615\) | 975.799 | + | 0.219152i | 1.58666 | + | 0.000356345i | ||||
\(616\) | −267.681 | −0.434548 | ||||||||
\(617\) | 605.990 | + | 605.990i | 0.982155 | + | 0.982155i | 0.999844 | − | 0.0176884i | \(-0.00563069\pi\) |
−0.0176884 | + | 0.999844i | \(0.505631\pi\) | |||||||
\(618\) | 842.829 | − | 842.829i | 1.36380 | − | 1.36380i | ||||
\(619\) | − | 422.816i | − | 0.683064i | −0.939870 | − | 0.341532i | \(-0.889054\pi\) | ||
0.939870 | − | 0.341532i | \(-0.110946\pi\) | |||||||
\(620\) | −312.920 | + | 312.780i | −0.504710 | + | 0.504484i | ||||
\(621\) | 173.448 | 0.279305 | ||||||||
\(622\) | 222.369 | + | 222.369i | 0.357507 | + | 0.357507i | ||||
\(623\) | −517.005 | + | 517.005i | −0.829864 | + | 0.829864i | ||||
\(624\) | 197.609i | 0.316682i | ||||||||
\(625\) | −625.000 | − | 0.561468i | −1.00000 | − | 0.000898349i | ||||
\(626\) | 488.287 | 0.780011 | ||||||||
\(627\) | 865.490 | + | 865.490i | 1.38037 | + | 1.38037i | ||||
\(628\) | −388.841 | + | 388.841i | −0.619174 | + | 0.619174i | ||||
\(629\) | 9.66332i | 0.0153630i | ||||||||
\(630\) | 1084.31 | + | 1084.80i | 1.72113 | + | 1.72190i | ||||
\(631\) | 761.602 | 1.20698 | 0.603488 | − | 0.797372i | \(-0.293777\pi\) | ||||
0.603488 | + | 0.797372i | \(0.293777\pi\) | |||||||
\(632\) | 20.2276 | + | 20.2276i | 0.0320057 | + | 0.0320057i | ||||
\(633\) | −222.526 | + | 222.526i | −0.351542 | + | 0.351542i | ||||
\(634\) | − | 312.061i | − | 0.492209i | ||||||
\(635\) | −0.216781 | + | 965.240i | −0.000341387 | + | 1.52006i | ||||
\(636\) | −951.574 | −1.49619 | ||||||||
\(637\) | −905.911 | − | 905.911i | −1.42215 | − | 1.42215i | ||||
\(638\) | 126.371 | − | 126.371i | 0.198073 | − | 0.198073i | ||||
\(639\) | 817.295i | 1.27902i | ||||||||
\(640\) | 56.5685 | + | 0.0127046i | 0.0883883 | + | 1.98509e-5i | ||||
\(641\) | 713.025 | 1.11236 | 0.556182 | − | 0.831061i | \(-0.312266\pi\) | ||||
0.556182 | + | 0.831061i | \(0.312266\pi\) | |||||||
\(642\) | −156.291 | − | 156.291i | −0.243444 | − | 0.243444i | ||||
\(643\) | 687.034 | − | 687.034i | 1.06848 | − | 1.06848i | 0.0710061 | − | 0.997476i | \(-0.477379\pi\) |
0.997476 | − | 0.0710061i | \(-0.0226210\pi\) | |||||||
\(644\) | 128.397i | 0.199374i | ||||||||
\(645\) | −520.152 | + | 519.919i | −0.806438 | + | 0.806076i | ||||
\(646\) | −393.119 | −0.608543 | ||||||||
\(647\) | 60.0315 | + | 60.0315i | 0.0927845 | + | 0.0927845i | 0.751976 | − | 0.659191i | \(-0.229101\pi\) |
−0.659191 | + | 0.751976i | \(0.729101\pi\) | |||||||
\(648\) | 71.4658 | − | 71.4658i | 0.110287 | − | 0.110287i | ||||
\(649\) | 277.200i | 0.427119i | ||||||||
\(650\) | 0.156273 | − | 347.911i | 0.000240420 | − | 0.535247i | ||||
\(651\) | −2973.35 | −4.56736 | ||||||||
\(652\) | −210.538 | − | 210.538i | −0.322911 | − | 0.322911i | ||||
\(653\) | −562.028 | + | 562.028i | −0.860686 | + | 0.860686i | −0.991418 | − | 0.130732i | \(-0.958267\pi\) |
0.130732 | + | 0.991418i | \(0.458267\pi\) | |||||||
\(654\) | 601.218i | 0.919293i | ||||||||
\(655\) | 266.928 | + | 267.048i | 0.407524 | + | 0.407707i | ||||
\(656\) | 155.495 | 0.237035 | ||||||||
\(657\) | 1078.04 | + | 1078.04i | 1.64085 | + | 1.64085i | ||||
\(658\) | −306.309 | + | 306.309i | −0.465515 | + | 0.465515i | ||||
\(659\) | − | 152.978i | − | 0.232137i | −0.993241 | − | 0.116069i | \(-0.962971\pi\) | ||
0.993241 | − | 0.116069i | \(-0.0370292\pi\) | |||||||
\(660\) | 0.0797135 | − | 354.933i | 0.000120778 | − | 0.537778i | ||||
\(661\) | −283.007 | −0.428149 | −0.214075 | − | 0.976817i | \(-0.568674\pi\) | ||||
−0.214075 | + | 0.976817i | \(0.568674\pi\) | |||||||
\(662\) | 335.345 | + | 335.345i | 0.506563 | + | 0.506563i | ||||
\(663\) | −281.586 | + | 281.586i | −0.424715 | + | 0.424715i | ||||
\(664\) | 277.880i | 0.418493i | ||||||||
\(665\) | 2308.13 | + | 0.518377i | 3.47088 | + | 0.000779515i | ||||
\(666\) | −27.4716 | −0.0412487 | ||||||||
\(667\) | −60.6154 | − | 60.6154i | −0.0908777 | − | 0.0908777i | ||||
\(668\) | 191.044 | − | 191.044i | 0.285994 | − | 0.285994i | ||||
\(669\) | 833.117i | 1.24532i | ||||||||
\(670\) | 232.337 | − | 232.233i | 0.346772 | − | 0.346616i | ||||
\(671\) | −72.3359 | −0.107803 | ||||||||
\(672\) | 268.816 | + | 268.816i | 0.400024 | + | 0.400024i | ||||
\(673\) | 380.707 | − | 380.707i | 0.565687 | − | 0.565687i | −0.365230 | − | 0.930917i | \(-0.619010\pi\) |
0.930917 | + | 0.365230i | \(0.119010\pi\) | |||||||
\(674\) | − | 576.191i | − | 0.854883i | ||||||
\(675\) | −639.626 | + | 639.052i | −0.947595 | + | 0.946744i | ||||
\(676\) | −144.333 | −0.213510 | ||||||||
\(677\) | −425.366 | − | 425.366i | −0.628311 | − | 0.628311i | 0.319332 | − | 0.947643i | \(-0.396541\pi\) |
−0.947643 | + | 0.319332i | \(0.896541\pi\) | |||||||
\(678\) | −201.936 | + | 201.936i | −0.297841 | + | 0.297841i | ||||
\(679\) | − | 565.436i | − | 0.832748i | ||||||
\(680\) | 80.5900 | + | 80.6262i | 0.118515 | + | 0.118568i | ||||
\(681\) | 850.232 | 1.24851 | ||||||||
\(682\) | 312.798 | + | 312.798i | 0.458648 | + | 0.458648i | ||||
\(683\) | 375.760 | − | 375.760i | 0.550161 | − | 0.550161i | −0.376326 | − | 0.926487i | \(-0.622813\pi\) |
0.926487 | + | 0.376326i | \(0.122813\pi\) | |||||||
\(684\) | − | 1117.59i | − | 1.63390i | ||||||
\(685\) | 0.207710 | − | 924.854i | 0.000303227 | − | 1.35015i | ||||
\(686\) | −1537.07 | −2.24063 | ||||||||
\(687\) | 105.411 | + | 105.411i | 0.153437 | + | 0.153437i | ||||
\(688\) | −82.8683 | + | 82.8683i | −0.120448 | + | 0.120448i | ||||
\(689\) | 932.591i | 1.35354i | ||||||||
\(690\) | −170.249 | − | 0.0382357i | −0.246737 | − | 5.54140e-5i | ||||
\(691\) | −669.698 | −0.969172 | −0.484586 | − | 0.874744i | \(-0.661030\pi\) | ||||
−0.484586 | + | 0.874744i | \(0.661030\pi\) | |||||||
\(692\) | −197.122 | − | 197.122i | −0.284858 | − | 0.284858i | ||||
\(693\) | 1084.37 | − | 1084.37i | 1.56475 | − | 1.56475i | ||||
\(694\) | − | 209.735i | − | 0.302212i | ||||||
\(695\) | −170.676 | + | 170.600i | −0.245577 | + | 0.245467i | ||||
\(696\) | −253.813 | −0.364674 | ||||||||
\(697\) | 221.574 | + | 221.574i | 0.317897 | + | 0.317897i | ||||
\(698\) | −287.151 | + | 287.151i | −0.411391 | + | 0.411391i | ||||
\(699\) | 531.814i | 0.760821i | ||||||||
\(700\) | −473.064 | − | 473.490i | −0.675806 | − | 0.676414i | ||||
\(701\) | 120.988 | 0.172594 | 0.0862971 | − | 0.996269i | \(-0.472497\pi\) | ||||
0.0862971 | + | 0.996269i | \(0.472497\pi\) | |||||||
\(702\) | −355.893 | − | 355.893i | −0.506970 | − | 0.506970i | ||||
\(703\) | −29.2323 | + | 29.2323i | −0.0415822 | + | 0.0415822i | ||||
\(704\) | − | 56.5591i | − | 0.0803396i | ||||||
\(705\) | −406.061 | − | 406.243i | −0.575973 | − | 0.576232i | ||||
\(706\) | −386.147 | −0.546950 | ||||||||
\(707\) | 339.368 | + | 339.368i | 0.480011 | + | 0.480011i | ||||
\(708\) | 278.375 | − | 278.375i | 0.393185 | − | 0.393185i | ||||
\(709\) | − | 601.912i | − | 0.848960i | −0.905437 | − | 0.424480i | \(-0.860457\pi\) | ||
0.905437 | − | 0.424480i | \(-0.139543\pi\) | |||||||
\(710\) | 0.0800991 | − | 356.650i | 0.000112816 | − | 0.502324i | ||||
\(711\) | −163.884 | −0.230497 | ||||||||
\(712\) | −109.239 | − | 109.239i | −0.153426 | − | 0.153426i | ||||
\(713\) | 150.038 | − | 150.038i | 0.210431 | − | 0.210431i | ||||
\(714\) | 766.105i | 1.07298i | ||||||||
\(715\) | −347.853 | − | 0.0781233i | −0.486507 | − | 0.000109263i | ||||
\(716\) | 50.9698 | 0.0711869 | ||||||||
\(717\) | 759.648 | + | 759.648i | 1.05948 | + | 1.05948i | ||||
\(718\) | 269.618 | − | 269.618i | 0.375512 | − | 0.375512i | ||||
\(719\) | 713.517i | 0.992374i | 0.868216 | + | 0.496187i | \(0.165267\pi\) | ||||
−0.868216 | + | 0.496187i | \(0.834733\pi\) | |||||||
\(720\) | −229.210 | + | 229.107i | −0.318347 | + | 0.318205i | ||||
\(721\) | −2247.32 | −3.11695 | ||||||||
\(722\) | −828.216 | − | 828.216i | −1.14711 | − | 1.14711i | ||||
\(723\) | −43.1601 | + | 43.1601i | −0.0596959 | + | 0.0596959i | ||||
\(724\) | − | 653.145i | − | 0.902133i | ||||||
\(725\) | 446.863 | + | 0.200719i | 0.616362 | + | 0.000276854i | ||||
\(726\) | 504.208 | 0.694502 | ||||||||
\(727\) | −168.465 | − | 168.465i | −0.231726 | − | 0.231726i | 0.581687 | − | 0.813413i | \(-0.302393\pi\) |
−0.813413 | + | 0.581687i | \(0.802393\pi\) | |||||||
\(728\) | 263.453 | − | 263.453i | 0.361886 | − | 0.361886i | ||||
\(729\) | − | 1055.10i | − | 1.44733i | ||||||
\(730\) | −470.327 | − | 470.538i | −0.644283 | − | 0.644573i | ||||
\(731\) | −236.169 | −0.323076 | ||||||||
\(732\) | 72.6425 | + | 72.6425i | 0.0992384 | + | 0.0992384i | ||||
\(733\) | 445.823 | − | 445.823i | 0.608216 | − | 0.608216i | −0.334263 | − | 0.942480i | \(-0.608487\pi\) |
0.942480 | + | 0.334263i | \(0.108487\pi\) | |||||||
\(734\) | 869.604i | 1.18475i | ||||||||
\(735\) | 0.733968 | − | 3268.07i | 0.000998596 | − | 4.44636i | ||||
\(736\) | −27.1293 | −0.0368605 | ||||||||
\(737\) | −232.246 | − | 232.246i | −0.315124 | − | 0.315124i | ||||
\(738\) | −629.908 | + | 629.908i | −0.853534 | + | 0.853534i | ||||
\(739\) | 1089.24i | 1.47393i | 0.675930 | + | 0.736966i | \(0.263742\pi\) | ||||
−0.675930 | + | 0.736966i | \(0.736258\pi\) | |||||||
\(740\) | 11.9880 | + | 0.00269236i | 0.0162000 | + | 3.63832e-6i | ||||
\(741\) | −1703.64 | −2.29911 | ||||||||
\(742\) | 1268.64 | + | 1268.64i | 1.70976 | + | 1.70976i | ||||
\(743\) | 898.533 | − | 898.533i | 1.20933 | − | 1.20933i | 0.238087 | − | 0.971244i | \(-0.423480\pi\) |
0.971244 | − | 0.238087i | \(-0.0765203\pi\) | |||||||
\(744\) | − | 628.248i | − | 0.844419i | ||||||
\(745\) | 939.068 | − | 938.646i | 1.26049 | − | 1.25993i | ||||
\(746\) | −263.215 | −0.352835 | ||||||||
\(747\) | −1125.69 | − | 1125.69i | −1.50695 | − | 1.50695i | ||||
\(748\) | 80.5946 | − | 80.5946i | 0.107747 | − | 0.107747i | ||||
\(749\) | 416.736i | 0.556390i | ||||||||
\(750\) | 627.967 | − | 627.121i | 0.837289 | − | 0.836162i | ||||
\(751\) | −706.083 | −0.940190 | −0.470095 | − | 0.882616i | \(-0.655780\pi\) | ||||
−0.470095 | + | 0.882616i | \(0.655780\pi\) | |||||||
\(752\) | −64.7209 | − | 64.7209i | −0.0860650 | − | 0.0860650i | ||||
\(753\) | −876.315 | + | 876.315i | −1.16377 | + | 1.16377i | ||||
\(754\) | 248.749i | 0.329906i | ||||||||
\(755\) | 689.811 | + | 690.121i | 0.913657 | + | 0.914067i | ||||
\(756\) | −968.271 | −1.28078 | ||||||||
\(757\) | −51.7068 | − | 51.7068i | −0.0683049 | − | 0.0683049i | 0.672129 | − | 0.740434i | \(-0.265380\pi\) |
−0.740434 | + | 0.672129i | \(0.765380\pi\) | |||||||
\(758\) | 204.936 | − | 204.936i | 0.270364 | − | 0.270364i | ||||
\(759\) | 170.220i | 0.224269i | ||||||||
\(760\) | −0.109529 | + | 487.692i | −0.000144118 | + | 0.641700i | ||||
\(761\) | 890.543 | 1.17023 | 0.585114 | − | 0.810951i | \(-0.301050\pi\) | ||||
0.585114 | + | 0.810951i | \(0.301050\pi\) | |||||||
\(762\) | −969.170 | − | 969.170i | −1.27188 | − | 1.27188i | ||||
\(763\) | 801.545 | − | 801.545i | 1.05052 | − | 1.05052i | ||||
\(764\) | 377.465i | 0.494065i | ||||||||
\(765\) | −653.085 | − | 0.146675i | −0.853706 | − | 0.000191732i | ||||
\(766\) | −392.967 | −0.513011 | ||||||||
\(767\) | −272.822 | − | 272.822i | −0.355700 | − | 0.355700i | ||||
\(768\) | −56.7988 | + | 56.7988i | −0.0739568 | + | 0.0739568i | ||||
\(769\) | − | 488.299i | − | 0.634979i | −0.948262 | − | 0.317489i | \(-0.897160\pi\) | ||
0.948262 | − | 0.317489i | \(-0.102840\pi\) | |||||||
\(770\) | −473.304 | + | 473.092i | −0.614681 | + | 0.614405i | ||||
\(771\) | −697.548 | −0.904732 | ||||||||
\(772\) | −293.582 | − | 293.582i | −0.380288 | − | 0.380288i | ||||
\(773\) | 606.134 | − | 606.134i | 0.784132 | − | 0.784132i | −0.196393 | − | 0.980525i | \(-0.562923\pi\) |
0.980525 | + | 0.196393i | \(0.0629228\pi\) | |||||||
\(774\) | − | 671.398i | − | 0.867439i | ||||||
\(775\) | −0.496828 | + | 1106.09i | −0.000641069 | + | 1.42722i | ||||
\(776\) | 119.472 | 0.153959 | ||||||||
\(777\) | 56.9676 | + | 56.9676i | 0.0733173 | + | 0.0733173i | ||||
\(778\) | 542.460 | − | 542.460i | 0.697250 | − | 0.697250i | ||||
\(779\) | 1340.56i | 1.72087i | ||||||||
\(780\) | 349.249 | + | 349.406i | 0.447755 | + | 0.447956i | ||||
\(781\) | −356.591 | −0.456582 | ||||||||
\(782\) | −38.6583 | − | 38.6583i | −0.0494351 | − | 0.0494351i | ||||
\(783\) | 457.115 | − | 457.115i | 0.583799 | − | 0.583799i | ||||
\(784\) | − | 520.772i | − | 0.664250i | ||||||
\(785\) | −0.308754 | + | 1374.76i | −0.000393317 | + | 1.75129i | ||||
\(786\) | −536.150 | −0.682125 | ||||||||
\(787\) | −9.33333 | − | 9.33333i | −0.0118594 | − | 0.0118594i | 0.701152 | − | 0.713012i | \(-0.252669\pi\) |
−0.713012 | + | 0.701152i | \(0.752669\pi\) | |||||||
\(788\) | 234.149 | − | 234.149i | 0.297143 | − | 0.297143i | ||||
\(789\) | 1007.88i | 1.27741i | ||||||||
\(790\) | 71.5153 | + | 0.0160614i | 0.0905257 | + | 2.03309e-5i | ||||
\(791\) | 538.443 | 0.680712 | ||||||||
\(792\) | 229.120 | + | 229.120i | 0.289294 | + | 0.289294i | ||||
\(793\) | 71.1934 | − | 71.1934i | 0.0897773 | − | 0.0897773i | ||||
\(794\) | − | 353.784i | − | 0.445572i | ||||||
\(795\) | −1682.54 | + | 1681.78i | −2.11640 | + | 2.11545i | ||||
\(796\) | −142.199 | −0.178642 | ||||||||
\(797\) | 584.178 | + | 584.178i | 0.732971 | + | 0.732971i | 0.971207 | − | 0.238236i | \(-0.0765692\pi\) |
−0.238236 | + | 0.971207i | \(0.576569\pi\) | |||||||
\(798\) | −2317.53 | + | 2317.53i | −2.90417 | + | 2.90417i | ||||
\(799\) | − | 184.450i | − | 0.230851i | ||||||
\(800\) | 100.045 | − | 99.9551i | 0.125056 | − | 0.124944i | ||||
\(801\) | 885.056 | 1.10494 | ||||||||
\(802\) | −734.716 | − | 734.716i | −0.916105 | − | 0.916105i | ||||
\(803\) | −470.354 | + | 470.354i | −0.585746 | + | 0.585746i | ||||
\(804\) | 466.461i | 0.580175i | ||||||||
\(805\) | 226.925 | + | 227.027i | 0.281894 | + | 0.282021i | ||||
\(806\) | −615.714 | −0.763914 | ||||||||
\(807\) | 456.775 | + | 456.775i | 0.566017 | + | 0.566017i | ||||
\(808\) | −71.7059 | + | 71.7059i | −0.0887450 | + | 0.0887450i | ||||
\(809\) | − | 1601.21i | − | 1.97924i | −0.143703 | − | 0.989621i | \(-0.545901\pi\) | ||
0.143703 | − | 0.989621i | \(-0.454099\pi\) | |||||||
\(810\) | 0.0567464 | − | 252.670i | 7.00573e−5 | − | 0.311938i | ||||
\(811\) | 698.505 | 0.861289 | 0.430644 | − | 0.902522i | \(-0.358286\pi\) | ||||
0.430644 | + | 0.902522i | \(0.358286\pi\) | |||||||
\(812\) | 338.384 | + | 338.384i | 0.416729 | + | 0.416729i | ||||
\(813\) | 6.31997 | − | 6.31997i | 0.00777364 | − | 0.00777364i | ||||
\(814\) | − | 11.9860i | − | 0.0147248i | ||||||
\(815\) | −744.363 | − | 0.167175i | −0.913329 | − | 0.000205122i | ||||
\(816\) | −161.872 | −0.198373 | ||||||||
\(817\) | −714.429 | − | 714.429i | −0.874454 | − | 0.874454i | ||||
\(818\) | 153.786 | − | 153.786i | 0.188003 | − | 0.188003i | ||||
\(819\) | 2134.49i | 2.60622i | ||||||||
\(820\) | 274.940 | − | 274.817i | 0.335293 | − | 0.335142i | ||||
\(821\) | 770.534 | 0.938531 | 0.469266 | − | 0.883057i | \(-0.344519\pi\) | ||||
0.469266 | + | 0.883057i | \(0.344519\pi\) | |||||||
\(822\) | 928.619 | + | 928.619i | 1.12971 | + | 1.12971i | ||||
\(823\) | 539.421 | − | 539.421i | 0.655432 | − | 0.655432i | −0.298864 | − | 0.954296i | \(-0.596608\pi\) |
0.954296 | + | 0.298864i | \(0.0966076\pi\) | |||||||
\(824\) | − | 474.843i | − | 0.576266i | ||||||
\(825\) | −627.158 | − | 627.721i | −0.760191 | − | 0.760875i | ||||
\(826\) | −742.260 | −0.898620 | ||||||||
\(827\) | 334.622 | + | 334.622i | 0.404622 | + | 0.404622i | 0.879858 | − | 0.475236i | \(-0.157637\pi\) |
−0.475236 | + | 0.879858i | \(0.657637\pi\) | |||||||
\(828\) | 109.901 | − | 109.901i | 0.132730 | − | 0.132730i | ||||
\(829\) | 11.0088i | 0.0132796i | 0.999978 | + | 0.00663979i | \(0.00211353\pi\) | ||||
−0.999978 | + | 0.00663979i | \(0.997886\pi\) | |||||||
\(830\) | 491.116 | + | 491.337i | 0.591706 | + | 0.591972i | ||||
\(831\) | −832.113 | −1.00134 | ||||||||
\(832\) | 55.6657 | + | 55.6657i | 0.0669059 | + | 0.0669059i | ||||
\(833\) | 742.081 | − | 742.081i | 0.890853 | − | 0.890853i | ||||
\(834\) | − | 342.665i | − | 0.410870i | ||||||
\(835\) | 0.151696 | − | 675.441i | 0.000181671 | − | 0.808912i | ||||
\(836\) | 487.610 | 0.583266 | ||||||||
\(837\) | 1131.47 | + | 1131.47i | 1.35181 | + | 1.35181i | ||||
\(838\) | 259.536 | − | 259.536i | 0.309709 | − | 0.309709i | ||||
\(839\) | − | 34.9755i | − | 0.0416871i | −0.999783 | − | 0.0208436i | \(-0.993365\pi\) | ||
0.999783 | − | 0.0208436i | \(-0.00663519\pi\) | |||||||
\(840\) | 950.408 | + | 0.213449i | 1.13144 | + | 0.000254107i | ||||
\(841\) | 521.502 | 0.620097 | ||||||||
\(842\) | 113.209 | + | 113.209i | 0.134453 | + | 0.134453i | ||||
\(843\) | −61.4584 | + | 61.4584i | −0.0729044 | + | 0.0729044i | ||||
\(844\) | 125.369i | 0.148542i | ||||||||
\(845\) | −255.204 | + | 255.090i | −0.302017 | + | 0.301881i | ||||
\(846\) | 524.368 | 0.619820 | ||||||||
\(847\) | −672.211 | − | 672.211i | −0.793638 | − | 0.793638i | ||||
\(848\) | −268.055 | + | 268.055i | −0.316102 | + | 0.316102i | ||||
\(849\) | − | 965.071i | − | 1.13671i | ||||||
\(850\) | 284.993 | + | 0.128011i | 0.335285 | + | 0.000150602i | ||||
\(851\) | −5.74926 | −0.00675588 | ||||||||
\(852\) | 358.102 | + | 358.102i | 0.420308 | + | 0.420308i | ||||
\(853\) | −574.177 | + | 574.177i | −0.673127 | + | 0.673127i | −0.958436 | − | 0.285309i | \(-0.907904\pi\) |
0.285309 | + | 0.958436i | \(0.407904\pi\) | |||||||
\(854\) | − | 193.694i | − | 0.226808i | ||||||
\(855\) | −1975.19 | − | 1976.08i | −2.31017 | − | 2.31120i | ||||
\(856\) | −88.0533 | −0.102866 | ||||||||
\(857\) | −698.376 | − | 698.376i | −0.814907 | − | 0.814907i | 0.170458 | − | 0.985365i | \(-0.445475\pi\) |
−0.985365 | + | 0.170458i | \(0.945475\pi\) | |||||||
\(858\) | 349.269 | − | 349.269i | 0.407073 | − | 0.407073i | ||||
\(859\) | − | 211.633i | − | 0.246371i | −0.992384 | − | 0.123186i | \(-0.960689\pi\) | ||
0.992384 | − | 0.123186i | \(-0.0393111\pi\) | |||||||
\(860\) | −0.0658004 | + | 292.984i | −7.65121e−5 | + | 0.340679i | ||||
\(861\) | 2612.47 | 3.03422 | ||||||||
\(862\) | −450.882 | − | 450.882i | −0.523065 | − | 0.523065i | ||||
\(863\) | 1113.78 | − | 1113.78i | 1.29060 | − | 1.29060i | 0.356176 | − | 0.934419i | \(-0.384080\pi\) |
0.934419 | − | 0.356176i | \(-0.115920\pi\) | |||||||
\(864\) | − | 204.589i | − | 0.236792i | ||||||
\(865\) | −696.931 | − | 0.156522i | −0.805700 | − | 0.000180950i | ||||
\(866\) | 355.153 | 0.410108 | ||||||||
\(867\) | 795.267 | + | 795.267i | 0.917263 | + | 0.917263i | ||||
\(868\) | −837.581 | + | 837.581i | −0.964955 | + | 0.964955i | ||||
\(869\) | − | 71.5034i | − | 0.0822824i | ||||||
\(870\) | −448.783 | + | 448.581i | −0.515842 | + | 0.515611i | ||||
\(871\) | 457.155 | 0.524863 | ||||||||
\(872\) | 169.361 | + | 169.361i | 0.194221 | + | 0.194221i | ||||
\(873\) | −483.982 | + | 483.982i | −0.554389 | + | 0.554389i | ||||
\(874\) | − | 233.889i | − | 0.267607i | ||||||
\(875\) | −1673.29 | − | 1.12740i | −1.91233 | − | 0.00128845i | ||||
\(876\) | 944.695 | 1.07842 | ||||||||
\(877\) | −910.352 | − | 910.352i | −1.03803 | − | 1.03803i | −0.999248 | − | 0.0387817i | \(-0.987652\pi\) |
−0.0387817 | − | 0.999248i | \(-0.512348\pi\) | |||||||
\(878\) | 713.713 | − | 713.713i | 0.812884 | − | 0.812884i | ||||
\(879\) | 1923.06i | 2.18778i | ||||||||
\(880\) | −99.9609 | − | 100.006i | −0.113592 | − | 0.113643i | ||||
\(881\) | 1332.24 | 1.51219 | 0.756093 | − | 0.654465i | \(-0.227106\pi\) | ||||
0.756093 | + | 0.654465i | \(0.227106\pi\) | |||||||
\(882\) | 2109.64 | + | 2109.64i | 2.39189 | + | 2.39189i | ||||
\(883\) | −63.8806 | + | 63.8806i | −0.0723450 | + | 0.0723450i | −0.742353 | − | 0.670008i | \(-0.766290\pi\) |
0.670008 | + | 0.742353i | \(0.266290\pi\) | |||||||
\(884\) | 158.643i | 0.179461i | ||||||||
\(885\) | 0.221040 | − | 984.204i | 0.000249762 | − | 1.11210i | ||||
\(886\) | −558.585 | −0.630457 | ||||||||
\(887\) | 174.929 | + | 174.929i | 0.197214 | + | 0.197214i | 0.798805 | − | 0.601591i | \(-0.205466\pi\) |
−0.601591 | + | 0.798805i | \(0.705466\pi\) | |||||||
\(888\) | −12.0368 | + | 12.0368i | −0.0135550 | + | 0.0135550i | ||||
\(889\) | 2584.20i | 2.90686i | ||||||||
\(890\) | −386.220 | − | 0.0867401i | −0.433955 | − | 9.74607e-5i | ||||
\(891\) | −252.628 | −0.283533 | ||||||||
\(892\) | 234.686 | + | 234.686i | 0.263101 | + | 0.263101i | ||||
\(893\) | 557.975 | − | 557.975i | 0.624832 | − | 0.624832i | ||||
\(894\) | 1885.36i | 2.10890i | ||||||||
\(895\) | 90.1230 | − | 90.0825i | 0.100696 | − | 0.100651i | ||||
\(896\) | 151.449 | 0.169028 | ||||||||
\(897\) | −167.531 | − | 167.531i | −0.186769 | − | 0.186769i | ||||
\(898\) | 541.558 | − | 541.558i | 0.603071 | − | 0.603071i | ||||
\(899\) | − | 790.834i | − | 0.879682i | ||||||
\(900\) | −0.363921 | + | 810.198i | −0.000404356 | + | 0.900220i | ||||
\(901\) | −763.936 | −0.847875 | ||||||||
\(902\) | −274.833 | − | 274.833i | −0.304692 | − | 0.304692i | ||||
\(903\) | −1392.27 | + | 1392.27i | −1.54183 | + | 1.54183i | ||||
\(904\) | 113.769i | 0.125851i | ||||||||
\(905\) | −1154.35 | − | 1154.87i | −1.27552 | − | 1.27610i | ||||
\(906\) | −1385.55 | −1.52930 | ||||||||
\(907\) | −642.379 | − | 642.379i | −0.708246 | − | 0.708246i | 0.257920 | − | 0.966166i | \(-0.416963\pi\) |
−0.966166 | + | 0.257920i | \(0.916963\pi\) | |||||||
\(908\) | 239.507 | − | 239.507i | 0.263774 | − | 0.263774i | ||||
\(909\) | − | 580.960i | − | 0.639120i | ||||||
\(910\) | 0.209191 | − | 931.448i | 0.000229881 | − | 1.02357i | ||||
\(911\) | −597.269 | −0.655619 | −0.327809 | − | 0.944744i | \(-0.606310\pi\) | ||||
−0.327809 | + | 0.944744i | \(0.606310\pi\) | |||||||
\(912\) | −489.677 | − | 489.677i | −0.536927 | − | 0.536927i | ||||
\(913\) | 491.144 | − | 491.144i | 0.537946 | − | 0.537946i | ||||
\(914\) | 817.344i | 0.894249i | ||||||||
\(915\) | 256.830 | + | 0.0576808i | 0.280689 | + | 6.30391e-5i | ||||
\(916\) | 59.3878 | 0.0648338 | ||||||||
\(917\) | 714.797 | + | 714.797i | 0.779495 | + | 0.779495i | ||||
\(918\) | 291.531 | − | 291.531i | 0.317572 | − | 0.317572i | ||||
\(919\) | 854.011i | 0.929283i | 0.885499 | + | 0.464642i | \(0.153817\pi\) | ||||
−0.885499 | + | 0.464642i | \(0.846183\pi\) | |||||||
\(920\) | −47.9691 | + | 47.9475i | −0.0521403 | + | 0.0521169i | ||||
\(921\) | 1700.25 | 1.84609 | ||||||||
\(922\) | 130.430 | + | 130.430i | 0.141464 | + | 0.141464i | ||||
\(923\) | 350.958 | − | 350.958i | 0.380236 | − | 0.380236i | ||||
\(924\) | − | 950.249i | − | 1.02841i | ||||||
\(925\) | 21.2016 | − | 21.1825i | 0.0229206 | − | 0.0229000i | ||||
\(926\) | −830.155 | −0.896496 | ||||||||
\(927\) | 1923.59 | + | 1923.59i | 2.07507 | + | 2.07507i | ||||
\(928\) | −71.4980 | + | 71.4980i | −0.0770453 | + | 0.0770453i | ||||
\(929\) | 722.278i | 0.777479i | 0.921348 | + | 0.388740i | \(0.127089\pi\) | ||||
−0.921348 | + | 0.388740i | \(0.872911\pi\) | |||||||
\(930\) | −1110.35 | − | 1110.84i | −1.19392 | − | 1.19446i | ||||
\(931\) | 4489.71 | 4.82245 | ||||||||
\(932\) | 149.810 | + | 149.810i | 0.160740 | + | 0.160740i | ||||
\(933\) | −789.395 | + | 789.395i | −0.846082 | + | 0.846082i | ||||
\(934\) | 233.671i | 0.250183i | ||||||||
\(935\) | 0.0639950 | − | 284.945i | 6.84439e−5 | − | 0.304754i | ||||
\(936\) | −451.003 | −0.481841 | ||||||||
\(937\) | −329.995 | − | 329.995i | −0.352183 | − | 0.352183i | 0.508738 | − | 0.860921i | \(-0.330112\pi\) |
−0.860921 | + | 0.508738i | \(0.830112\pi\) | |||||||
\(938\) | 621.887 | − | 621.887i | 0.662992 | − | 0.662992i | ||||
\(939\) | 1733.38i | 1.84599i | ||||||||
\(940\) | −228.823 | − | 0.0513907i | −0.243429 | − | 5.46710e-5i | ||||
\(941\) | −1606.78 | −1.70752 | −0.853761 | − | 0.520665i | \(-0.825684\pi\) | ||||
−0.853761 | + | 0.520665i | \(0.825684\pi\) | |||||||
\(942\) | −1380.36 | − | 1380.36i | −1.46535 | − | 1.46535i | ||||
\(943\) | −131.827 | + | 131.827i | −0.139795 | + | 0.139795i | ||||
\(944\) | − | 156.834i | − | 0.166138i | ||||||
\(945\) | −1712.06 | + | 1711.29i | −1.81171 | + | 1.81089i | ||||
\(946\) | 292.935 | 0.309656 | ||||||||
\(947\) | −151.840 | − | 151.840i | −0.160338 | − | 0.160338i | 0.622379 | − | 0.782716i | \(-0.286166\pi\) |
−0.782716 | + | 0.622379i | \(0.786166\pi\) | |||||||
\(948\) | −71.8065 | + | 71.8065i | −0.0757452 | + | 0.0757452i | ||||
\(949\) | − | 925.849i | − | 0.975605i | ||||||
\(950\) | 861.738 | + | 862.512i | 0.907092 | + | 0.907908i | ||||
\(951\) | 1107.79 | 1.16487 | ||||||||
\(952\) | 215.809 | + | 215.809i | 0.226690 | + | 0.226690i | ||||
\(953\) | −82.6477 | + | 82.6477i | −0.0867237 | + | 0.0867237i | −0.749138 | − | 0.662414i | \(-0.769532\pi\) |
0.662414 | + | 0.749138i | \(0.269532\pi\) | |||||||
\(954\) | − | 2171.77i | − | 2.27649i | ||||||
\(955\) | 667.121 | + | 667.421i | 0.698556 | + | 0.698870i | ||||
\(956\) | 427.979 | 0.447677 | ||||||||
\(957\) | 448.607 | + | 448.607i | 0.468764 | + | 0.468764i | ||||
\(958\) | −426.572 | + | 426.572i | −0.445273 | + | 0.445273i | ||||
\(959\) | − | 2476.07i | − | 2.58193i | ||||||
\(960\) | −0.0451003 | + | 200.814i | −4.69795e−5 | + | 0.209181i | ||||
\(961\) | 996.504 | 1.03694 | ||||||||
\(962\) | 11.7967 | + | 11.7967i | 0.0122627 | + | 0.0122627i | ||||
\(963\) | 356.703 | − | 356.703i | 0.370408 | − | 0.370408i | ||||
\(964\) | 24.3161i | 0.0252241i | ||||||||
\(965\) | −1037.97 | − | 0.233115i | −1.07562 | − | 0.000241570i | ||||
\(966\) | −455.800 | −0.471842 | ||||||||
\(967\) | 824.740 | + | 824.740i | 0.852885 | + | 0.852885i | 0.990488 | − | 0.137602i | \(-0.0439396\pi\) |
−0.137602 | + | 0.990488i | \(0.543940\pi\) | |||||||
\(968\) | 142.033 | − | 142.033i | 0.146729 | − | 0.146729i | ||||
\(969\) | − | 1395.54i | − | 1.44019i | ||||||
\(970\) | 211.247 | − | 211.152i | 0.217780 | − | 0.217682i | ||||
\(971\) | 977.693 | 1.00689 | 0.503446 | − | 0.864026i | \(-0.332065\pi\) | ||||
0.503446 | + | 0.864026i | \(0.332065\pi\) | |||||||
\(972\) | −206.626 | − | 206.626i | −0.212578 | − | 0.212578i | ||||
\(973\) | −456.842 | + | 456.842i | −0.469519 | + | 0.469519i | ||||
\(974\) | 258.950i | 0.265863i | ||||||||
\(975\) | 1235.06 | + | 0.554757i | 1.26673 | + | 0.000568981i | ||||
\(976\) | 40.9262 | 0.0419326 | ||||||||
\(977\) | −459.402 | − | 459.402i | −0.470217 | − | 0.470217i | 0.431768 | − | 0.901985i | \(-0.357890\pi\) |
−0.901985 | + | 0.431768i | \(0.857890\pi\) | |||||||
\(978\) | 747.394 | − | 747.394i | 0.764206 | − | 0.764206i | ||||
\(979\) | 386.155i | 0.394439i | ||||||||
\(980\) | −920.397 | − | 920.810i | −0.939180 | − | 0.939602i | ||||
\(981\) | −1372.16 | −1.39873 | ||||||||
\(982\) | −280.807 | − | 280.807i | −0.285954 | − | 0.285954i | ||||
\(983\) | −1286.10 | + | 1286.10i | −1.30834 | + | 1.30834i | −0.385723 | + | 0.922615i | \(0.626048\pi\) |
−0.922615 | + | 0.385723i | \(0.873952\pi\) | |||||||
\(984\) | 551.995i | 0.560971i | ||||||||
\(985\) | 0.185922 | − | 827.840i | 0.000188754 | − | 0.840447i | ||||
\(986\) | −203.764 | −0.206657 | ||||||||
\(987\) | −1087.38 | − | 1087.38i | −1.10170 | − | 1.10170i | ||||
\(988\) | −479.908 | + | 479.908i | −0.485737 | + | 0.485737i | ||||
\(989\) | − | 140.510i | − | 0.142073i | ||||||
\(990\) | 810.063 | + | 0.181930i | 0.818246 | + | 0.000183768i | ||||
\(991\) | 1070.39 | 1.08011 | 0.540054 | − | 0.841630i | \(-0.318404\pi\) | ||||
0.540054 | + | 0.841630i | \(0.318404\pi\) | |||||||
\(992\) | −176.975 | − | 176.975i | −0.178402 | − | 0.178402i | ||||
\(993\) | −1190.45 | + | 1190.45i | −1.19884 | + | 1.19884i | ||||
\(994\) | − | 954.845i | − | 0.960609i | ||||||
\(995\) | −251.432 | + | 251.319i | −0.252695 | + | 0.252582i | ||||
\(996\) | −986.452 | −0.990414 | ||||||||
\(997\) | 348.585 | + | 348.585i | 0.349634 | + | 0.349634i | 0.859973 | − | 0.510339i | \(-0.170480\pi\) |
−0.510339 | + | 0.859973i | \(0.670480\pi\) | |||||||
\(998\) | −525.230 | + | 525.230i | −0.526282 | + | 0.526282i | ||||
\(999\) | − | 43.3565i | − | 0.0433999i |
(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 | 230.3.f.b.47.2 | ✓ | 24 | |
5.3 | odd | 4 | inner | 230.3.f.b.93.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.f.b.47.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
230.3.f.b.93.2 | yes | 24 | 5.3 | odd | 4 | inner |