Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,3,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), 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: | \(1.03542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 38.29 |
Dual form | 38.3.f.a.21.4 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39273 | − | 0.245576i | 0.696364 | − | 0.122788i | ||||
\(3\) | 1.06027 | + | 1.26358i | 0.353423 | + | 0.421193i | 0.913239 | − | 0.407423i | \(-0.133573\pi\) |
−0.559816 | + | 0.828617i | \(0.689128\pi\) | |||||||
\(4\) | 1.87939 | − | 0.684040i | 0.469846 | − | 0.171010i | ||||
\(5\) | −4.36056 | − | 1.58711i | −0.872111 | − | 0.317422i | −0.133089 | − | 0.991104i | \(-0.542490\pi\) |
−0.739022 | + | 0.673682i | \(0.764712\pi\) | |||||||
\(6\) | 1.78697 | + | 1.49945i | 0.297829 | + | 0.249908i | ||||
\(7\) | −2.18088 | + | 3.77740i | −0.311555 | + | 0.539628i | −0.978699 | − | 0.205300i | \(-0.934183\pi\) |
0.667144 | + | 0.744928i | \(0.267516\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 1.09037 | − | 6.18380i | 0.121152 | − | 0.687089i | ||||
\(10\) | −6.46283 | − | 1.13957i | −0.646283 | − | 0.113957i | ||||
\(11\) | −2.86610 | − | 4.96424i | −0.260555 | − | 0.451294i | 0.705835 | − | 0.708377i | \(-0.250572\pi\) |
−0.966390 | + | 0.257082i | \(0.917239\pi\) | |||||||
\(12\) | 2.85700 | + | 1.64949i | 0.238083 | + | 0.137457i | ||||
\(13\) | −11.9719 | + | 14.2675i | −0.920913 | + | 1.09750i | 0.0740501 | + | 0.997255i | \(0.476408\pi\) |
−0.994963 | + | 0.100246i | \(0.968037\pi\) | |||||||
\(14\) | −2.10974 | + | 5.79646i | −0.150696 | + | 0.414033i | ||||
\(15\) | −2.61792 | − | 7.19268i | −0.174528 | − | 0.479512i | ||||
\(16\) | 3.06418 | − | 2.57115i | 0.191511 | − | 0.160697i | ||||
\(17\) | 1.14452 | + | 6.49087i | 0.0673244 | + | 0.381816i | 0.999789 | + | 0.0205537i | \(0.00654290\pi\) |
−0.932464 | + | 0.361262i | \(0.882346\pi\) | |||||||
\(18\) | − | 8.88012i | − | 0.493340i | ||||||
\(19\) | 18.9980 | − | 0.274480i | 0.999896 | − | 0.0144463i | ||||
\(20\) | −9.28081 | −0.464041 | ||||||||
\(21\) | −7.08537 | + | 1.24934i | −0.337399 | + | 0.0594925i | ||||
\(22\) | −5.21080 | − | 6.20999i | −0.236855 | − | 0.282272i | ||||
\(23\) | 23.7808 | − | 8.65552i | 1.03395 | − | 0.376327i | 0.231366 | − | 0.972867i | \(-0.425680\pi\) |
0.802584 | + | 0.596540i | \(0.203458\pi\) | |||||||
\(24\) | 4.38409 | + | 1.59568i | 0.182671 | + | 0.0664866i | ||||
\(25\) | −2.65559 | − | 2.22831i | −0.106224 | − | 0.0891322i | ||||
\(26\) | −13.1698 | + | 22.8108i | −0.506531 | + | 0.877337i | ||||
\(27\) | 21.8263 | − | 12.6014i | 0.808381 | − | 0.466719i | ||||
\(28\) | −1.51482 | + | 8.59100i | −0.0541009 | + | 0.306821i | ||||
\(29\) | 3.49437 | + | 0.616152i | 0.120496 | + | 0.0212466i | 0.233571 | − | 0.972340i | \(-0.424959\pi\) |
−0.113075 | + | 0.993586i | \(0.536070\pi\) | |||||||
\(30\) | −5.41240 | − | 9.37455i | −0.180413 | − | 0.312485i | ||||
\(31\) | 25.7126 | + | 14.8452i | 0.829439 | + | 0.478877i | 0.853661 | − | 0.520830i | \(-0.174377\pi\) |
−0.0242216 | + | 0.999707i | \(0.507711\pi\) | |||||||
\(32\) | 3.63616 | − | 4.33340i | 0.113630 | − | 0.135419i | ||||
\(33\) | 3.23387 | − | 8.88498i | 0.0979961 | − | 0.269242i | ||||
\(34\) | 3.18800 | + | 8.75895i | 0.0937646 | + | 0.257616i | ||||
\(35\) | 15.5050 | − | 13.0103i | 0.443000 | − | 0.371722i | ||||
\(36\) | −2.18074 | − | 12.3676i | −0.0605761 | − | 0.343544i | ||||
\(37\) | 62.3286i | 1.68456i | 0.539042 | + | 0.842279i | \(0.318786\pi\) | ||||
−0.539042 | + | 0.842279i | \(0.681214\pi\) | |||||||
\(38\) | 26.3917 | − | 5.04773i | 0.694518 | − | 0.132835i | ||||
\(39\) | −30.7216 | −0.787732 | ||||||||
\(40\) | −12.9257 | + | 2.27914i | −0.323141 | + | 0.0569785i | ||||
\(41\) | −41.6408 | − | 49.6256i | −1.01563 | − | 1.21038i | −0.977462 | − | 0.211110i | \(-0.932292\pi\) |
−0.0381677 | − | 0.999271i | \(-0.512152\pi\) | |||||||
\(42\) | −9.56119 | + | 3.47999i | −0.227647 | + | 0.0828569i | ||||
\(43\) | −77.6901 | − | 28.2769i | −1.80675 | − | 0.657602i | −0.997542 | − | 0.0700753i | \(-0.977676\pi\) |
−0.809205 | − | 0.587527i | \(-0.800102\pi\) | |||||||
\(44\) | −8.78225 | − | 7.36918i | −0.199597 | − | 0.167481i | ||||
\(45\) | −14.5690 | + | 25.2343i | −0.323756 | + | 0.560761i | ||||
\(46\) | 30.9947 | − | 17.8948i | 0.673797 | − | 0.389017i | ||||
\(47\) | −2.10783 | + | 11.9541i | −0.0448475 | + | 0.254343i | −0.998986 | − | 0.0450228i | \(-0.985664\pi\) |
0.954138 | + | 0.299366i | \(0.0967750\pi\) | |||||||
\(48\) | 6.49771 | + | 1.14572i | 0.135369 | + | 0.0238692i | ||||
\(49\) | 14.9875 | + | 25.9591i | 0.305867 | + | 0.529778i | ||||
\(50\) | −4.24574 | − | 2.45128i | −0.0849147 | − | 0.0490255i | ||||
\(51\) | −6.98824 | + | 8.32826i | −0.137024 | + | 0.163299i | ||||
\(52\) | −12.7402 | + | 35.0034i | −0.245004 | + | 0.673142i | ||||
\(53\) | −26.6087 | − | 73.1068i | −0.502051 | − | 1.37937i | −0.889269 | − | 0.457385i | \(-0.848786\pi\) |
0.387218 | − | 0.921988i | \(-0.373436\pi\) | |||||||
\(54\) | 27.3035 | − | 22.9104i | 0.505620 | − | 0.424266i | ||||
\(55\) | 4.61900 | + | 26.1957i | 0.0839819 | + | 0.476285i | ||||
\(56\) | 12.3369i | 0.220302i | ||||||||
\(57\) | 20.4899 | + | 23.7145i | 0.359471 | + | 0.416044i | ||||
\(58\) | 5.01802 | 0.0865176 | ||||||||
\(59\) | 18.4726 | − | 3.25722i | 0.313095 | − | 0.0552071i | −0.0148928 | − | 0.999889i | \(-0.504741\pi\) |
0.327988 | + | 0.944682i | \(0.393630\pi\) | |||||||
\(60\) | −9.84017 | − | 11.7271i | −0.164003 | − | 0.195451i | ||||
\(61\) | −65.9383 | + | 23.9996i | −1.08096 | + | 0.393436i | −0.820263 | − | 0.571986i | \(-0.806173\pi\) |
−0.260693 | + | 0.965422i | \(0.583951\pi\) | |||||||
\(62\) | 39.4563 | + | 14.3609i | 0.636392 | + | 0.231628i | ||||
\(63\) | 20.9807 | + | 17.6049i | 0.333027 | + | 0.279443i | ||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 74.8481 | − | 43.2136i | 1.15151 | − | 0.664824i | ||||
\(66\) | 2.32197 | − | 13.1685i | 0.0351813 | − | 0.199523i | ||||
\(67\) | 43.9655 | + | 7.75231i | 0.656202 | + | 0.115706i | 0.491828 | − | 0.870692i | \(-0.336329\pi\) |
0.164373 | + | 0.986398i | \(0.447440\pi\) | |||||||
\(68\) | 6.59100 | + | 11.4159i | 0.0969265 | + | 0.167882i | ||||
\(69\) | 36.1511 | + | 20.8718i | 0.523928 | + | 0.302490i | ||||
\(70\) | 18.3993 | − | 21.9274i | 0.262847 | − | 0.313249i | ||||
\(71\) | 9.63848 | − | 26.4815i | 0.135753 | − | 0.372979i | −0.853125 | − | 0.521707i | \(-0.825296\pi\) |
0.988878 | + | 0.148728i | \(0.0475178\pi\) | |||||||
\(72\) | −6.07436 | − | 16.6892i | −0.0843661 | − | 0.231794i | ||||
\(73\) | 45.3194 | − | 38.0275i | 0.620813 | − | 0.520924i | −0.277246 | − | 0.960799i | \(-0.589422\pi\) |
0.898059 | + | 0.439875i | \(0.144977\pi\) | |||||||
\(74\) | 15.3064 | + | 86.8068i | 0.206843 | + | 1.17307i | ||||
\(75\) | − | 5.71816i | − | 0.0762421i | ||||||
\(76\) | 35.5168 | − | 13.5113i | 0.467327 | − | 0.177780i | ||||
\(77\) | 25.0025 | 0.324708 | ||||||||
\(78\) | −42.7868 | + | 7.54446i | −0.548549 | + | 0.0967239i | ||||
\(79\) | −19.7468 | − | 23.5333i | −0.249960 | − | 0.297890i | 0.626445 | − | 0.779466i | \(-0.284509\pi\) |
−0.876405 | + | 0.481575i | \(0.840065\pi\) | |||||||
\(80\) | −17.4422 | + | 6.34845i | −0.218028 | + | 0.0793556i | ||||
\(81\) | −14.0399 | − | 5.11012i | −0.173332 | − | 0.0630879i | ||||
\(82\) | −70.1812 | − | 58.8890i | −0.855869 | − | 0.718159i | ||||
\(83\) | −81.1064 | + | 140.480i | −0.977186 | + | 1.69254i | −0.304662 | + | 0.952460i | \(0.598544\pi\) |
−0.672524 | + | 0.740076i | \(0.734790\pi\) | |||||||
\(84\) | −12.4615 | + | 7.19467i | −0.148352 | + | 0.0856509i | ||||
\(85\) | 5.31101 | − | 30.1203i | 0.0624825 | − | 0.354356i | ||||
\(86\) | −115.145 | − | 20.3032i | −1.33890 | − | 0.236084i | ||||
\(87\) | 2.92642 | + | 5.06871i | 0.0336370 | + | 0.0582610i | ||||
\(88\) | −14.0410 | − | 8.10657i | −0.159557 | − | 0.0921201i | ||||
\(89\) | −11.7215 | + | 13.9691i | −0.131702 | + | 0.156956i | −0.827865 | − | 0.560928i | \(-0.810445\pi\) |
0.696163 | + | 0.717884i | \(0.254889\pi\) | |||||||
\(90\) | −14.0937 | + | 38.7223i | −0.156597 | + | 0.430247i | ||||
\(91\) | −27.7849 | − | 76.3383i | −0.305328 | − | 0.838882i | ||||
\(92\) | 38.7726 | − | 32.5341i | 0.421442 | − | 0.353632i | ||||
\(93\) | 8.50422 | + | 48.2298i | 0.0914433 | + | 0.518601i | ||||
\(94\) | 17.1665i | 0.182622i | ||||||||
\(95\) | −83.2775 | − | 28.9551i | −0.876606 | − | 0.304791i | ||||
\(96\) | 9.33091 | 0.0971970 | ||||||||
\(97\) | 132.655 | − | 23.3906i | 1.36758 | − | 0.241141i | 0.558822 | − | 0.829287i | \(-0.311253\pi\) |
0.808754 | + | 0.588147i | \(0.200142\pi\) | |||||||
\(98\) | 27.2485 | + | 32.4734i | 0.278045 | + | 0.331362i | ||||
\(99\) | −33.8230 | + | 12.3105i | −0.341646 | + | 0.124349i | ||||
\(100\) | −6.51513 | − | 2.37131i | −0.0651513 | − | 0.0237131i | ||||
\(101\) | −88.5982 | − | 74.3427i | −0.877210 | − | 0.736067i | 0.0883935 | − | 0.996086i | \(-0.471827\pi\) |
−0.965603 | + | 0.260019i | \(0.916271\pi\) | |||||||
\(102\) | −7.68750 | + | 13.3151i | −0.0753677 | + | 0.130541i | ||||
\(103\) | 22.5113 | − | 12.9969i | 0.218556 | − | 0.126183i | −0.386726 | − | 0.922195i | \(-0.626394\pi\) |
0.605281 | + | 0.796012i | \(0.293061\pi\) | |||||||
\(104\) | −9.14765 | + | 51.8789i | −0.0879582 | + | 0.498836i | ||||
\(105\) | 32.8790 | + | 5.79746i | 0.313133 | + | 0.0552139i | ||||
\(106\) | −55.0119 | − | 95.2834i | −0.518980 | − | 0.898900i | ||||
\(107\) | 145.144 | + | 83.7987i | 1.35648 | + | 0.783165i | 0.989148 | − | 0.146924i | \(-0.0469372\pi\) |
0.367334 | + | 0.930089i | \(0.380271\pi\) | |||||||
\(108\) | 32.4001 | − | 38.6130i | 0.300001 | − | 0.357528i | ||||
\(109\) | 14.1424 | − | 38.8558i | 0.129747 | − | 0.356476i | −0.857761 | − | 0.514049i | \(-0.828145\pi\) |
0.987507 | + | 0.157574i | \(0.0503671\pi\) | |||||||
\(110\) | 12.8660 | + | 35.3491i | 0.116964 | + | 0.321356i | ||||
\(111\) | −78.7572 | + | 66.0852i | −0.709525 | + | 0.595362i | ||||
\(112\) | 3.02965 | + | 17.1820i | 0.0270504 | + | 0.153411i | ||||
\(113\) | − | 31.2751i | − | 0.276770i | −0.990378 | − | 0.138385i | \(-0.955809\pi\) | ||
0.990378 | − | 0.138385i | \(-0.0441912\pi\) | |||||||
\(114\) | 34.3605 | + | 27.9961i | 0.301408 | + | 0.245579i | ||||
\(115\) | −117.435 | −1.02117 | ||||||||
\(116\) | 6.98874 | − | 1.23230i | 0.0602478 | − | 0.0106233i | ||||
\(117\) | 75.1736 | + | 89.5884i | 0.642510 | + | 0.765713i | ||||
\(118\) | 24.9274 | − | 9.07283i | 0.211249 | − | 0.0768884i | ||||
\(119\) | −27.0146 | − | 9.83253i | −0.227014 | − | 0.0826263i | ||||
\(120\) | −16.5846 | − | 13.9161i | −0.138205 | − | 0.115967i | ||||
\(121\) | 44.0709 | − | 76.3330i | 0.364222 | − | 0.630851i | ||||
\(122\) | −85.9405 | + | 49.6178i | −0.704430 | + | 0.406703i | ||||
\(123\) | 18.5554 | − | 105.233i | 0.150857 | − | 0.855554i | ||||
\(124\) | 58.4786 | + | 10.3114i | 0.471602 | + | 0.0831561i | ||||
\(125\) | 66.0484 | + | 114.399i | 0.528387 | + | 0.915193i | ||||
\(126\) | 33.5438 | + | 19.3665i | 0.266220 | + | 0.153702i | ||||
\(127\) | 0.442025 | − | 0.526785i | 0.00348051 | − | 0.00414792i | −0.764301 | − | 0.644859i | \(-0.776916\pi\) |
0.767782 | + | 0.640711i | \(0.221360\pi\) | |||||||
\(128\) | 3.86952 | − | 10.6314i | 0.0302306 | − | 0.0830579i | ||||
\(129\) | −46.6424 | − | 128.149i | −0.361569 | − | 0.993402i | ||||
\(130\) | 93.6309 | − | 78.5657i | 0.720238 | − | 0.604351i | ||||
\(131\) | 2.48144 | + | 14.0730i | 0.0189423 | + | 0.107427i | 0.992813 | − | 0.119676i | \(-0.0381856\pi\) |
−0.973871 | + | 0.227103i | \(0.927075\pi\) | |||||||
\(132\) | − | 18.9104i | − | 0.143261i | ||||||
\(133\) | −40.3956 | + | 72.3617i | −0.303726 | + | 0.544073i | ||||
\(134\) | 63.1358 | 0.471163 | ||||||||
\(135\) | −115.175 | + | 20.3084i | −0.853145 | + | 0.150433i | ||||
\(136\) | 11.9830 | + | 14.2807i | 0.0881099 | + | 0.105005i | ||||
\(137\) | 21.8951 | − | 7.96915i | 0.159818 | − | 0.0581690i | −0.260872 | − | 0.965373i | \(-0.584010\pi\) |
0.420690 | + | 0.907204i | \(0.361788\pi\) | |||||||
\(138\) | 55.4742 | + | 20.1910i | 0.401987 | + | 0.146311i | ||||
\(139\) | 86.6761 | + | 72.7299i | 0.623569 | + | 0.523237i | 0.898923 | − | 0.438106i | \(-0.144351\pi\) |
−0.275354 | + | 0.961343i | \(0.588795\pi\) | |||||||
\(140\) | 20.2404 | − | 35.0573i | 0.144574 | − | 0.250410i | ||||
\(141\) | −17.3399 | + | 10.0112i | −0.122978 | + | 0.0710012i | ||||
\(142\) | 6.92057 | − | 39.2485i | 0.0487364 | − | 0.276398i | ||||
\(143\) | 105.140 | + | 18.5390i | 0.735244 | + | 0.129643i | ||||
\(144\) | −12.5584 | − | 21.7518i | −0.0872110 | − | 0.151054i | ||||
\(145\) | −14.2595 | − | 8.23272i | −0.0983413 | − | 0.0567774i | ||||
\(146\) | 53.7789 | − | 64.0913i | 0.368349 | − | 0.438981i | ||||
\(147\) | −16.9106 | + | 46.4616i | −0.115038 | + | 0.316065i | ||||
\(148\) | 42.6353 | + | 117.139i | 0.288076 | + | 0.791483i | ||||
\(149\) | −178.021 | + | 149.378i | −1.19477 | + | 1.00253i | −0.195010 | + | 0.980801i | \(0.562474\pi\) |
−0.999764 | + | 0.0217328i | \(0.993082\pi\) | |||||||
\(150\) | −1.40424 | − | 7.96384i | −0.00936160 | − | 0.0530923i | ||||
\(151\) | − | 175.631i | − | 1.16312i | −0.813504 | − | 0.581559i | \(-0.802443\pi\) | ||
0.813504 | − | 0.581559i | \(-0.197557\pi\) | |||||||
\(152\) | 46.1473 | − | 27.5396i | 0.303600 | − | 0.181182i | ||||
\(153\) | 41.3862 | 0.270498 | ||||||||
\(154\) | 34.8218 | − | 6.14001i | 0.226115 | − | 0.0398702i | ||||
\(155\) | −88.5603 | − | 105.542i | −0.571357 | − | 0.680916i | ||||
\(156\) | −57.7376 | + | 21.0148i | −0.370113 | + | 0.134710i | ||||
\(157\) | −131.322 | − | 47.7975i | −0.836449 | − | 0.304442i | −0.111946 | − | 0.993714i | \(-0.535708\pi\) |
−0.724503 | + | 0.689272i | \(0.757931\pi\) | |||||||
\(158\) | −33.2812 | − | 27.9262i | −0.210640 | − | 0.176748i | ||||
\(159\) | 64.1639 | − | 111.135i | 0.403547 | − | 0.698963i | ||||
\(160\) | −22.7333 | + | 13.1251i | −0.142083 | + | 0.0820316i | ||||
\(161\) | −19.1679 | + | 108.706i | −0.119055 | + | 0.675195i | ||||
\(162\) | −20.8087 | − | 3.66914i | −0.128449 | − | 0.0226490i | ||||
\(163\) | 70.1462 | + | 121.497i | 0.430345 | + | 0.745379i | 0.996903 | − | 0.0786426i | \(-0.0250586\pi\) |
−0.566558 | + | 0.824022i | \(0.691725\pi\) | |||||||
\(164\) | −112.205 | − | 64.7816i | −0.684177 | − | 0.395010i | ||||
\(165\) | −28.2029 | + | 33.6110i | −0.170927 | + | 0.203703i | ||||
\(166\) | −78.4607 | + | 215.569i | −0.472655 | + | 1.29861i | ||||
\(167\) | 65.6004 | + | 180.236i | 0.392817 | + | 1.07926i | 0.965709 | + | 0.259625i | \(0.0835991\pi\) |
−0.572892 | + | 0.819631i | \(0.694179\pi\) | |||||||
\(168\) | −15.5887 | + | 13.0805i | −0.0927899 | + | 0.0778600i | ||||
\(169\) | −30.8898 | − | 175.185i | −0.182780 | − | 1.03660i | ||||
\(170\) | − | 43.2536i | − | 0.254433i | ||||||
\(171\) | 19.0175 | − | 117.779i | 0.111214 | − | 0.688767i | ||||
\(172\) | −165.352 | −0.961350 | ||||||||
\(173\) | −38.1926 | + | 6.73438i | −0.220766 | + | 0.0389271i | −0.282937 | − | 0.959138i | \(-0.591309\pi\) |
0.0621707 | + | 0.998066i | \(0.480198\pi\) | |||||||
\(174\) | 5.32046 | + | 6.34067i | 0.0305773 | + | 0.0364407i | ||||
\(175\) | 14.2087 | − | 5.17156i | 0.0811928 | − | 0.0295518i | ||||
\(176\) | −21.5461 | − | 7.84212i | −0.122421 | − | 0.0445575i | ||||
\(177\) | 23.7017 | + | 19.8881i | 0.133908 | + | 0.112362i | ||||
\(178\) | −12.8943 | + | 22.3336i | −0.0724401 | + | 0.125470i | ||||
\(179\) | −127.130 | + | 73.3988i | −0.710226 | + | 0.410049i | −0.811145 | − | 0.584846i | \(-0.801155\pi\) |
0.100919 | + | 0.994895i | \(0.467822\pi\) | |||||||
\(180\) | −10.1195 | + | 57.3907i | −0.0562196 | + | 0.318837i | ||||
\(181\) | −105.732 | − | 18.6434i | −0.584155 | − | 0.103002i | −0.126243 | − | 0.991999i | \(-0.540292\pi\) |
−0.457913 | + | 0.888997i | \(0.651403\pi\) | |||||||
\(182\) | −57.4436 | − | 99.4952i | −0.315624 | − | 0.546677i | ||||
\(183\) | −100.238 | − | 57.8723i | −0.547748 | − | 0.316242i | ||||
\(184\) | 46.0102 | − | 54.8328i | 0.250055 | − | 0.298004i | ||||
\(185\) | 98.9225 | − | 271.787i | 0.534716 | − | 1.46912i | ||||
\(186\) | 23.6881 | + | 65.0827i | 0.127356 | + | 0.349907i | ||||
\(187\) | 28.9419 | − | 24.2851i | 0.154770 | − | 0.129867i | ||||
\(188\) | 4.21567 | + | 23.9082i | 0.0224238 | + | 0.127171i | ||||
\(189\) | 109.929i | 0.581634i | ||||||||
\(190\) | −123.094 | − | 19.8757i | −0.647861 | − | 0.104609i | ||||
\(191\) | 203.993 | 1.06803 | 0.534013 | − | 0.845476i | \(-0.320683\pi\) | ||||
0.534013 | + | 0.845476i | \(0.320683\pi\) | |||||||
\(192\) | 12.9954 | − | 2.29144i | 0.0676845 | − | 0.0119346i | ||||
\(193\) | 122.839 | + | 146.394i | 0.636473 | + | 0.758519i | 0.983809 | − | 0.179222i | \(-0.0573580\pi\) |
−0.347336 | + | 0.937741i | \(0.612914\pi\) | |||||||
\(194\) | 179.008 | − | 65.1536i | 0.922722 | − | 0.335843i | ||||
\(195\) | 133.963 | + | 48.7586i | 0.686990 | + | 0.250044i | ||||
\(196\) | 45.9244 | + | 38.5351i | 0.234308 | + | 0.196608i | ||||
\(197\) | 91.6874 | − | 158.807i | 0.465419 | − | 0.806129i | −0.533802 | − | 0.845610i | \(-0.679237\pi\) |
0.999220 | + | 0.0394811i | \(0.0125705\pi\) | |||||||
\(198\) | −44.0830 | + | 25.4513i | −0.222642 | + | 0.128542i | ||||
\(199\) | −3.18549 | + | 18.0658i | −0.0160075 | + | 0.0907829i | −0.991765 | − | 0.128072i | \(-0.959121\pi\) |
0.975757 | + | 0.218855i | \(0.0702322\pi\) | |||||||
\(200\) | −9.65615 | − | 1.70264i | −0.0482807 | − | 0.00851319i | ||||
\(201\) | 36.8197 | + | 63.7735i | 0.183182 | + | 0.317281i | ||||
\(202\) | −141.650 | − | 81.7817i | −0.701238 | − | 0.404860i | ||||
\(203\) | −9.94826 | + | 11.8559i | −0.0490062 | + | 0.0584033i | ||||
\(204\) | −7.43673 | + | 20.4322i | −0.0364545 | + | 0.100158i | ||||
\(205\) | 102.816 | + | 282.484i | 0.501540 | + | 1.37797i | ||||
\(206\) | 28.1603 | − | 23.6293i | 0.136701 | − | 0.114706i | ||||
\(207\) | −27.5941 | − | 156.494i | −0.133305 | − | 0.756008i | ||||
\(208\) | 74.4997i | 0.358171i | ||||||||
\(209\) | −55.8129 | − | 93.5240i | −0.267047 | − | 0.447483i | ||||
\(210\) | 47.2152 | 0.224834 | ||||||||
\(211\) | 109.579 | − | 19.3218i | 0.519333 | − | 0.0915724i | 0.0921632 | − | 0.995744i | \(-0.470622\pi\) |
0.427170 | + | 0.904172i | \(0.359511\pi\) | |||||||
\(212\) | −100.016 | − | 119.194i | −0.471773 | − | 0.562238i | ||||
\(213\) | 43.6809 | − | 15.8985i | 0.205075 | − | 0.0746410i | ||||
\(214\) | 222.724 | + | 81.0651i | 1.04077 | + | 0.378809i | ||||
\(215\) | 293.893 | + | 246.606i | 1.36695 | + | 1.14700i | ||||
\(216\) | 35.6422 | − | 61.7341i | 0.165010 | − | 0.285806i | ||||
\(217\) | −112.152 | + | 64.7512i | −0.516831 | + | 0.298393i | ||||
\(218\) | 10.1544 | − | 57.5887i | 0.0465800 | − | 0.264168i | ||||
\(219\) | 96.1015 | + | 16.9453i | 0.438820 | + | 0.0773757i | ||||
\(220\) | 26.5998 | + | 46.0722i | 0.120908 | + | 0.209419i | ||||
\(221\) | −106.310 | − | 61.3784i | −0.481043 | − | 0.277730i | ||||
\(222\) | −93.4585 | + | 111.380i | −0.420984 | + | 0.501710i | ||||
\(223\) | 49.3883 | − | 135.693i | 0.221472 | − | 0.608490i | −0.778340 | − | 0.627843i | \(-0.783938\pi\) |
0.999813 | + | 0.0193523i | \(0.00616040\pi\) | |||||||
\(224\) | 8.43896 | + | 23.1859i | 0.0376739 | + | 0.103508i | ||||
\(225\) | −16.6750 | + | 13.9920i | −0.0741110 | + | 0.0621865i | ||||
\(226\) | −7.68039 | − | 43.5577i | −0.0339840 | − | 0.192733i | ||||
\(227\) | − | 31.9896i | − | 0.140923i | −0.997514 | − | 0.0704617i | \(-0.977553\pi\) | ||
0.997514 | − | 0.0704617i | \(-0.0224472\pi\) | |||||||
\(228\) | 54.7300 | + | 30.5528i | 0.240044 | + | 0.134003i | ||||
\(229\) | −2.11998 | −0.00925758 | −0.00462879 | − | 0.999989i | \(-0.501473\pi\) | ||||
−0.00462879 | + | 0.999989i | \(0.501473\pi\) | |||||||
\(230\) | −163.555 | + | 28.8392i | −0.711109 | + | 0.125388i | ||||
\(231\) | 26.5094 | + | 31.5927i | 0.114759 | + | 0.136765i | ||||
\(232\) | 9.43080 | − | 3.43253i | 0.0406500 | − | 0.0147954i | ||||
\(233\) | 13.2797 | + | 4.83341i | 0.0569943 | + | 0.0207442i | 0.370360 | − | 0.928888i | \(-0.379234\pi\) |
−0.313366 | + | 0.949633i | \(0.601457\pi\) | |||||||
\(234\) | 126.697 | + | 106.312i | 0.541441 | + | 0.454323i | ||||
\(235\) | 28.1638 | − | 48.7812i | 0.119846 | − | 0.207580i | ||||
\(236\) | 32.4890 | − | 18.7576i | 0.137665 | − | 0.0794812i | ||||
\(237\) | 8.79931 | − | 49.9034i | 0.0371279 | − | 0.210563i | ||||
\(238\) | −40.0387 | − | 7.05990i | −0.168230 | − | 0.0296635i | ||||
\(239\) | −174.301 | − | 301.898i | −0.729292 | − | 1.26317i | −0.957183 | − | 0.289484i | \(-0.906516\pi\) |
0.227891 | − | 0.973687i | \(-0.426817\pi\) | |||||||
\(240\) | −26.5152 | − | 15.3086i | −0.110480 | − | 0.0637858i | ||||
\(241\) | −263.315 | + | 313.806i | −1.09259 | + | 1.30210i | −0.142615 | + | 0.989778i | \(0.545551\pi\) |
−0.949976 | + | 0.312322i | \(0.898893\pi\) | |||||||
\(242\) | 42.6333 | − | 117.134i | 0.176171 | − | 0.484024i | ||||
\(243\) | −86.0080 | − | 236.305i | −0.353942 | − | 0.972448i | ||||
\(244\) | −107.507 | + | 90.2089i | −0.440602 | + | 0.369709i | ||||
\(245\) | −24.1538 | − | 136.983i | −0.0985870 | − | 0.559114i | ||||
\(246\) | − | 151.118i | − | 0.614300i | ||||||
\(247\) | −223.526 | + | 274.340i | −0.904962 | + | 1.11069i | ||||
\(248\) | 83.9770 | 0.338617 | ||||||||
\(249\) | −263.503 | + | 46.4627i | −1.05825 | + | 0.186597i | ||||
\(250\) | 120.081 | + | 143.107i | 0.480324 | + | 0.572428i | ||||
\(251\) | 114.363 | − | 41.6246i | 0.455628 | − | 0.165835i | −0.104003 | − | 0.994577i | \(-0.533165\pi\) |
0.559631 | + | 0.828742i | \(0.310943\pi\) | |||||||
\(252\) | 51.4733 | + | 18.7347i | 0.204259 | + | 0.0743442i | ||||
\(253\) | −111.126 | − | 93.2462i | −0.439235 | − | 0.368562i | ||||
\(254\) | 0.486256 | − | 0.842220i | 0.00191439 | − | 0.00331583i | ||||
\(255\) | 43.6905 | − | 25.2247i | 0.171335 | − | 0.0989204i | ||||
\(256\) | 2.77837 | − | 15.7569i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −302.324 | − | 53.3079i | −1.17636 | − | 0.207424i | −0.448905 | − | 0.893580i | \(-0.648186\pi\) |
−0.727455 | + | 0.686156i | \(0.759297\pi\) | |||||||
\(258\) | −96.4304 | − | 167.022i | −0.373761 | − | 0.647373i | ||||
\(259\) | −235.440 | − | 135.931i | −0.909035 | − | 0.524832i | ||||
\(260\) | 111.109 | − | 132.414i | 0.427341 | − | 0.509285i | ||||
\(261\) | 7.62032 | − | 20.9366i | 0.0291966 | − | 0.0802170i | ||||
\(262\) | 6.91195 | + | 18.9904i | 0.0263815 | + | 0.0724825i | ||||
\(263\) | −374.255 | + | 314.037i | −1.42302 | + | 1.19406i | −0.473327 | + | 0.880887i | \(0.656947\pi\) |
−0.949696 | + | 0.313172i | \(0.898608\pi\) | |||||||
\(264\) | −4.64393 | − | 26.3371i | −0.0175907 | − | 0.0997616i | ||||
\(265\) | 361.017i | 1.36233i | ||||||||
\(266\) | −38.4899 | + | 110.700i | −0.144699 | + | 0.416167i | ||||
\(267\) | −30.0790 | −0.112655 | ||||||||
\(268\) | 87.9310 | − | 15.5046i | 0.328101 | − | 0.0578530i | ||||
\(269\) | 86.2440 | + | 102.782i | 0.320610 | + | 0.382088i | 0.902145 | − | 0.431434i | \(-0.141992\pi\) |
−0.581535 | + | 0.813521i | \(0.697548\pi\) | |||||||
\(270\) | −155.420 | + | 56.5682i | −0.575629 | + | 0.209512i | ||||
\(271\) | 326.435 | + | 118.813i | 1.20456 | + | 0.438423i | 0.864812 | − | 0.502095i | \(-0.167437\pi\) |
0.339744 | + | 0.940518i | \(0.389660\pi\) | |||||||
\(272\) | 20.1960 | + | 16.9465i | 0.0742500 | + | 0.0623031i | ||||
\(273\) | 67.0001 | − | 116.048i | 0.245422 | − | 0.425083i | ||||
\(274\) | 28.5369 | − | 16.4758i | 0.104149 | − | 0.0601305i | ||||
\(275\) | −3.45064 | + | 19.5695i | −0.0125478 | + | 0.0711620i | ||||
\(276\) | 82.2189 | + | 14.4974i | 0.297895 | + | 0.0525269i | ||||
\(277\) | −13.6507 | − | 23.6437i | −0.0492805 | − | 0.0853563i | 0.840333 | − | 0.542071i | \(-0.182359\pi\) |
−0.889613 | + | 0.456714i | \(0.849026\pi\) | |||||||
\(278\) | 138.577 | + | 80.0075i | 0.498478 | + | 0.287797i | ||||
\(279\) | 119.836 | − | 142.815i | 0.429519 | − | 0.511881i | ||||
\(280\) | 19.5801 | − | 53.7959i | 0.0699289 | − | 0.192128i | ||||
\(281\) | 91.4906 | + | 251.368i | 0.325589 | + | 0.894549i | 0.989213 | + | 0.146483i | \(0.0467953\pi\) |
−0.663624 | + | 0.748066i | \(0.730982\pi\) | |||||||
\(282\) | −21.6912 | + | 18.2011i | −0.0769192 | + | 0.0645429i | ||||
\(283\) | −70.8736 | − | 401.944i | −0.250437 | − | 1.42030i | −0.807520 | − | 0.589840i | \(-0.799191\pi\) |
0.557083 | − | 0.830457i | \(-0.311921\pi\) | |||||||
\(284\) | − | 56.3620i | − | 0.198458i | ||||||
\(285\) | −51.7096 | − | 135.928i | −0.181437 | − | 0.476941i | ||||
\(286\) | 150.984 | 0.527916 | ||||||||
\(287\) | 278.270 | − | 49.0664i | 0.969580 | − | 0.170963i | ||||
\(288\) | −22.8321 | − | 27.2103i | −0.0792782 | − | 0.0944801i | ||||
\(289\) | 230.750 | − | 83.9860i | 0.798442 | − | 0.290609i | ||||
\(290\) | −21.8814 | − | 7.96416i | −0.0754530 | − | 0.0274626i | ||||
\(291\) | 170.206 | + | 142.820i | 0.584900 | + | 0.490790i | ||||
\(292\) | 59.1602 | − | 102.469i | 0.202604 | − | 0.350920i | ||||
\(293\) | 2.73165 | − | 1.57712i | 0.00932305 | − | 0.00538267i | −0.495331 | − | 0.868704i | \(-0.664953\pi\) |
0.504654 | + | 0.863322i | \(0.331620\pi\) | |||||||
\(294\) | −12.1421 | + | 68.8612i | −0.0412996 | + | 0.234222i | ||||
\(295\) | −85.7203 | − | 15.1148i | −0.290577 | − | 0.0512366i | ||||
\(296\) | 88.1460 | + | 152.673i | 0.297790 | + | 0.515788i | ||||
\(297\) | −125.113 | − | 72.2339i | −0.421255 | − | 0.243212i | ||||
\(298\) | −211.252 | + | 251.760i | −0.708899 | + | 0.844833i | ||||
\(299\) | −161.208 | + | 442.916i | −0.539158 | + | 1.48133i | ||||
\(300\) | −3.91145 | − | 10.7466i | −0.0130382 | − | 0.0358221i | ||||
\(301\) | 276.246 | − | 231.798i | 0.917761 | − | 0.770093i | ||||
\(302\) | −43.1307 | − | 244.606i | −0.142817 | − | 0.809954i | ||||
\(303\) | − | 190.774i | − | 0.629618i | ||||||
\(304\) | 57.5076 | − | 49.6878i | 0.189170 | − | 0.163447i | ||||
\(305\) | 325.618 | 1.06760 | ||||||||
\(306\) | 57.6397 | − | 10.1634i | 0.188365 | − | 0.0332138i | ||||
\(307\) | 58.5701 | + | 69.8012i | 0.190782 | + | 0.227365i | 0.852953 | − | 0.521987i | \(-0.174809\pi\) |
−0.662171 | + | 0.749353i | \(0.730365\pi\) | |||||||
\(308\) | 46.9894 | − | 17.1027i | 0.152563 | − | 0.0555284i | ||||
\(309\) | 40.2906 | + | 14.6646i | 0.130390 | + | 0.0474582i | ||||
\(310\) | −149.259 | − | 125.243i | −0.481481 | − | 0.404010i | ||||
\(311\) | −131.331 | + | 227.472i | −0.422287 | + | 0.731422i | −0.996163 | − | 0.0875199i | \(-0.972106\pi\) |
0.573876 | + | 0.818942i | \(0.305439\pi\) | |||||||
\(312\) | −75.2521 | + | 43.4468i | −0.241193 | + | 0.139253i | ||||
\(313\) | −15.0760 | + | 85.5001i | −0.0481661 | + | 0.273163i | −0.999374 | − | 0.0353883i | \(-0.988733\pi\) |
0.951208 | + | 0.308552i | \(0.0998443\pi\) | |||||||
\(314\) | −194.634 | − | 34.3193i | −0.619855 | − | 0.109297i | ||||
\(315\) | −63.5466 | − | 110.066i | −0.201735 | − | 0.349415i | ||||
\(316\) | −53.2096 | − | 30.7206i | −0.168385 | − | 0.0972170i | ||||
\(317\) | 263.920 | − | 314.527i | 0.832554 | − | 0.992199i | −0.167426 | − | 0.985885i | \(-0.553546\pi\) |
0.999980 | − | 0.00631445i | \(-0.00200996\pi\) | |||||||
\(318\) | 62.0708 | − | 170.538i | 0.195191 | − | 0.536284i | ||||
\(319\) | −6.95651 | − | 19.1128i | −0.0218072 | − | 0.0599149i | ||||
\(320\) | −28.4381 | + | 23.8624i | −0.0888689 | + | 0.0745699i | ||||
\(321\) | 48.0050 | + | 272.250i | 0.149548 | + | 0.848130i | ||||
\(322\) | 156.106i | 0.484800i | ||||||||
\(323\) | 23.5251 | + | 122.999i | 0.0728332 | + | 0.380803i | ||||
\(324\) | −29.8820 | −0.0922283 | ||||||||
\(325\) | 63.5848 | − | 11.2117i | 0.195645 | − | 0.0344976i | ||||
\(326\) | 127.531 | + | 151.986i | 0.391200 | + | 0.466214i | ||||
\(327\) | 64.0922 | − | 23.3277i | 0.196001 | − | 0.0713384i | ||||
\(328\) | −172.180 | − | 62.6684i | −0.524939 | − | 0.191062i | ||||
\(329\) | −40.5585 | − | 34.0326i | −0.123278 | − | 0.103443i | ||||
\(330\) | −31.0250 | + | 53.7369i | −0.0940152 | + | 0.162839i | ||||
\(331\) | −42.9287 | + | 24.7849i | −0.129694 | + | 0.0748788i | −0.563443 | − | 0.826155i | \(-0.690524\pi\) |
0.433749 | + | 0.901034i | \(0.357190\pi\) | |||||||
\(332\) | −56.3359 | + | 319.497i | −0.169687 | + | 0.962340i | ||||
\(333\) | 385.428 | + | 67.9613i | 1.15744 | + | 0.204088i | ||||
\(334\) | 135.625 | + | 234.910i | 0.406063 | + | 0.703322i | ||||
\(335\) | −179.410 | − | 103.583i | −0.535553 | − | 0.309202i | ||||
\(336\) | −18.4986 | + | 22.0458i | −0.0550553 | + | 0.0656124i | ||||
\(337\) | 40.9833 | − | 112.601i | 0.121612 | − | 0.334126i | −0.863917 | − | 0.503635i | \(-0.831996\pi\) |
0.985529 | + | 0.169508i | \(0.0542180\pi\) | |||||||
\(338\) | −86.0423 | − | 236.399i | −0.254563 | − | 0.699406i | ||||
\(339\) | 39.5186 | − | 33.1600i | 0.116574 | − | 0.0978171i | ||||
\(340\) | −10.6220 | − | 60.2405i | −0.0312413 | − | 0.177178i | ||||
\(341\) | − | 170.191i | − | 0.499095i | ||||||
\(342\) | −2.43742 | − | 168.705i | −0.00712695 | − | 0.493288i | ||||
\(343\) | −344.470 | −1.00429 | ||||||||
\(344\) | −230.291 | + | 40.6065i | −0.669450 | + | 0.118042i | ||||
\(345\) | −124.513 | − | 148.389i | −0.360907 | − | 0.430112i | ||||
\(346\) | −51.5381 | + | 18.7583i | −0.148954 | + | 0.0542149i | ||||
\(347\) | −41.0164 | − | 14.9287i | −0.118203 | − | 0.0430223i | 0.282242 | − | 0.959343i | \(-0.408922\pi\) |
−0.400444 | + | 0.916321i | \(0.631144\pi\) | |||||||
\(348\) | 8.96707 | + | 7.52426i | 0.0257674 | + | 0.0216214i | ||||
\(349\) | 269.642 | − | 467.034i | 0.772613 | − | 1.33820i | −0.163513 | − | 0.986541i | \(-0.552283\pi\) |
0.936126 | − | 0.351664i | \(-0.114384\pi\) | |||||||
\(350\) | 18.5189 | − | 10.6919i | 0.0529111 | − | 0.0305483i | ||||
\(351\) | −81.5105 | + | 462.269i | −0.232224 | + | 1.31701i | ||||
\(352\) | −31.9336 | − | 5.63076i | −0.0907206 | − | 0.0159965i | ||||
\(353\) | −105.011 | − | 181.884i | −0.297480 | − | 0.515251i | 0.678079 | − | 0.734989i | \(-0.262813\pi\) |
−0.975559 | + | 0.219738i | \(0.929480\pi\) | |||||||
\(354\) | 37.8940 | + | 21.8781i | 0.107045 | + | 0.0618026i | ||||
\(355\) | −84.0582 | + | 100.177i | −0.236784 | + | 0.282188i | ||||
\(356\) | −12.4737 | + | 34.2712i | −0.0350385 | + | 0.0962675i | ||||
\(357\) | −16.2186 | − | 44.5603i | −0.0454303 | − | 0.124819i | ||||
\(358\) | −159.033 | + | 133.445i | −0.444227 | + | 0.372750i | ||||
\(359\) | 100.111 | + | 567.756i | 0.278860 | + | 1.58149i | 0.726427 | + | 0.687244i | \(0.241180\pi\) |
−0.447567 | + | 0.894251i | \(0.647709\pi\) | |||||||
\(360\) | 82.4147i | 0.228930i | ||||||||
\(361\) | 360.849 | − | 10.4292i | 0.999583 | − | 0.0288896i | ||||
\(362\) | −151.835 | −0.419432 | ||||||||
\(363\) | 143.180 | − | 25.2465i | 0.394435 | − | 0.0695496i | ||||
\(364\) | −104.437 | − | 124.463i | −0.286915 | − | 0.341931i | ||||
\(365\) | −257.971 | + | 93.8939i | −0.706771 | + | 0.257244i | ||||
\(366\) | −153.816 | − | 55.9845i | −0.420263 | − | 0.152963i | ||||
\(367\) | −405.706 | − | 340.428i | −1.10547 | − | 0.927597i | −0.107686 | − | 0.994185i | \(-0.534344\pi\) |
−0.997781 | + | 0.0665882i | \(0.978789\pi\) | |||||||
\(368\) | 50.6141 | − | 87.6662i | 0.137538 | − | 0.238223i | ||||
\(369\) | −352.279 | + | 203.388i | −0.954685 | + | 0.551187i | ||||
\(370\) | 71.0279 | − | 402.819i | 0.191967 | − | 1.08870i | ||||
\(371\) | 334.184 | + | 58.9256i | 0.900765 | + | 0.158829i | ||||
\(372\) | 48.9739 | + | 84.8252i | 0.131650 | + | 0.228025i | ||||
\(373\) | 253.602 | + | 146.417i | 0.679898 | + | 0.392539i | 0.799817 | − | 0.600244i | \(-0.204930\pi\) |
−0.119919 | + | 0.992784i | \(0.538263\pi\) | |||||||
\(374\) | 34.3444 | − | 40.9300i | 0.0918299 | − | 0.109439i | ||||
\(375\) | −74.5234 | + | 204.751i | −0.198729 | + | 0.546004i | ||||
\(376\) | 11.7426 | + | 32.2624i | 0.0312302 | + | 0.0858043i | ||||
\(377\) | −50.6251 | + | 42.4795i | −0.134284 | + | 0.112678i | ||||
\(378\) | 26.9958 | + | 153.101i | 0.0714176 | + | 0.405029i | ||||
\(379\) | − | 435.630i | − | 1.14942i | −0.818357 | − | 0.574710i | \(-0.805115\pi\) | ||
0.818357 | − | 0.574710i | \(-0.194885\pi\) | |||||||
\(380\) | −176.317 | + | 2.54740i | −0.463992 | + | 0.00670368i | ||||
\(381\) | 1.13430 | 0.00297717 | ||||||||
\(382\) | 284.107 | − | 50.0957i | 0.743735 | − | 0.131141i | ||||
\(383\) | −341.360 | − | 406.818i | −0.891281 | − | 1.06219i | −0.997695 | − | 0.0678650i | \(-0.978381\pi\) |
0.106414 | − | 0.994322i | \(-0.466063\pi\) | |||||||
\(384\) | 17.5364 | − | 6.38272i | 0.0456676 | − | 0.0166217i | ||||
\(385\) | −109.025 | − | 39.6818i | −0.283182 | − | 0.103070i | ||||
\(386\) | 207.033 | + | 173.721i | 0.536354 | + | 0.450054i | ||||
\(387\) | −259.569 | + | 449.588i | −0.670722 | + | 1.16172i | ||||
\(388\) | 233.310 | − | 134.701i | 0.601313 | − | 0.347168i | ||||
\(389\) | 73.2040 | − | 415.161i | 0.188185 | − | 1.06725i | −0.733609 | − | 0.679572i | \(-0.762166\pi\) |
0.921794 | − | 0.387679i | \(-0.126723\pi\) | |||||||
\(390\) | 198.548 | + | 35.0094i | 0.509098 | + | 0.0897676i | ||||
\(391\) | 83.3994 | + | 144.452i | 0.213298 | + | 0.369442i | ||||
\(392\) | 73.4235 | + | 42.3911i | 0.187305 | + | 0.108140i | ||||
\(393\) | −15.1513 | + | 18.0566i | −0.0385530 | + | 0.0459456i | ||||
\(394\) | 88.6965 | − | 243.692i | 0.225118 | − | 0.618507i | ||||
\(395\) | 48.7570 | + | 133.959i | 0.123435 | + | 0.339136i | ||||
\(396\) | −55.1454 | + | 46.2725i | −0.139256 | + | 0.116850i | ||||
\(397\) | 37.7301 | + | 213.978i | 0.0950380 | + | 0.538987i | 0.994736 | + | 0.102474i | \(0.0326757\pi\) |
−0.899698 | + | 0.436513i | \(0.856213\pi\) | |||||||
\(398\) | 25.9430i | 0.0651835i | ||||||||
\(399\) | −134.265 | + | 25.6798i | −0.336504 | + | 0.0643604i | ||||
\(400\) | −13.8665 | −0.0346663 | ||||||||
\(401\) | −481.302 | + | 84.8666i | −1.20025 | + | 0.211637i | −0.737809 | − | 0.675010i | \(-0.764139\pi\) |
−0.462446 | + | 0.886647i | \(0.653028\pi\) | |||||||
\(402\) | 66.9410 | + | 79.7772i | 0.166520 | + | 0.198451i | ||||
\(403\) | −519.632 | + | 189.130i | −1.28941 | + | 0.469306i | ||||
\(404\) | −217.364 | − | 79.1139i | −0.538029 | − | 0.195826i | ||||
\(405\) | 53.1116 | + | 44.5659i | 0.131140 | + | 0.110039i | ||||
\(406\) | −10.9437 | + | 18.9551i | −0.0269550 | + | 0.0466874i | ||||
\(407\) | 309.414 | − | 178.640i | 0.760231 | − | 0.438920i | ||||
\(408\) | −5.33968 | + | 30.2828i | −0.0130875 | + | 0.0742227i | ||||
\(409\) | −263.363 | − | 46.4380i | −0.643919 | − | 0.113540i | −0.157853 | − | 0.987463i | \(-0.550457\pi\) |
−0.486066 | + | 0.873922i | \(0.661568\pi\) | |||||||
\(410\) | 212.566 | + | 368.174i | 0.518453 | + | 0.897986i | ||||
\(411\) | 33.2844 | + | 19.2167i | 0.0809838 | + | 0.0467560i | ||||
\(412\) | 33.4169 | − | 39.8247i | 0.0811091 | − | 0.0966620i | ||||
\(413\) | −27.9827 | + | 76.8819i | −0.0677548 | + | 0.186155i | ||||
\(414\) | −76.8621 | − | 211.177i | −0.185657 | − | 0.510089i | ||||
\(415\) | 576.627 | − | 483.848i | 1.38946 | − | 1.16590i | ||||
\(416\) | 18.2953 | + | 103.758i | 0.0439791 | + | 0.249418i | ||||
\(417\) | 186.636i | 0.447567i | ||||||||
\(418\) | −100.699 | − | 116.547i | −0.240908 | − | 0.278821i | ||||
\(419\) | −375.704 | −0.896669 | −0.448334 | − | 0.893866i | \(-0.647983\pi\) | ||||
−0.448334 | + | 0.893866i | \(0.647983\pi\) | |||||||
\(420\) | 65.7580 | − | 11.5949i | 0.156567 | − | 0.0276069i | ||||
\(421\) | 226.613 | + | 270.067i | 0.538274 | + | 0.641490i | 0.964800 | − | 0.262985i | \(-0.0847070\pi\) |
−0.426526 | + | 0.904475i | \(0.640263\pi\) | |||||||
\(422\) | 147.869 | − | 53.8200i | 0.350401 | − | 0.127535i | ||||
\(423\) | 71.6235 | + | 26.0688i | 0.169323 | + | 0.0616284i | ||||
\(424\) | −168.566 | − | 141.444i | −0.397562 | − | 0.333594i | ||||
\(425\) | 11.4243 | − | 19.7874i | 0.0268806 | − | 0.0465586i | ||||
\(426\) | 56.9313 | − | 32.8693i | 0.133642 | − | 0.0771580i | ||||
\(427\) | 53.1477 | − | 301.416i | 0.124468 | − | 0.705891i | ||||
\(428\) | 330.102 | + | 58.2059i | 0.771267 | + | 0.135995i | ||||
\(429\) | 88.0512 | + | 152.509i | 0.205247 | + | 0.355499i | ||||
\(430\) | 469.874 | + | 271.282i | 1.09273 | + | 0.630888i | ||||
\(431\) | 518.833 | − | 618.321i | 1.20379 | − | 1.43462i | 0.333026 | − | 0.942917i | \(-0.391930\pi\) |
0.870763 | − | 0.491703i | \(-0.163625\pi\) | |||||||
\(432\) | 34.4795 | − | 94.7317i | 0.0798137 | − | 0.219286i | ||||
\(433\) | 76.5351 | + | 210.278i | 0.176755 | + | 0.485631i | 0.996157 | − | 0.0875888i | \(-0.0279162\pi\) |
−0.819401 | + | 0.573220i | \(0.805694\pi\) | |||||||
\(434\) | −140.296 | + | 117.723i | −0.323264 | + | 0.271250i | ||||
\(435\) | −4.71621 | − | 26.7469i | −0.0108419 | − | 0.0614872i | ||||
\(436\) | − | 82.6990i | − | 0.189677i | ||||||
\(437\) | 449.413 | − | 170.965i | 1.02841 | − | 0.391224i | ||||
\(438\) | 138.005 | 0.315079 | ||||||||
\(439\) | 259.976 | − | 45.8408i | 0.592201 | − | 0.104421i | 0.130487 | − | 0.991450i | \(-0.458346\pi\) |
0.461714 | + | 0.887029i | \(0.347235\pi\) | |||||||
\(440\) | 48.3605 | + | 57.6338i | 0.109910 | + | 0.130986i | ||||
\(441\) | 176.868 | − | 64.3746i | 0.401061 | − | 0.145974i | ||||
\(442\) | −163.135 | − | 59.3762i | −0.369083 | − | 0.134335i | ||||
\(443\) | 63.2395 | + | 53.0642i | 0.142753 | + | 0.119784i | 0.711368 | − | 0.702820i | \(-0.248076\pi\) |
−0.568615 | + | 0.822604i | \(0.692521\pi\) | |||||||
\(444\) | −102.810 | + | 178.073i | −0.231555 | + | 0.401064i | ||||
\(445\) | 73.2826 | − | 42.3097i | 0.164680 | − | 0.0950780i | ||||
\(446\) | 35.4616 | − | 201.113i | 0.0795102 | − | 0.450925i | ||||
\(447\) | −377.501 | − | 66.5636i | −0.844522 | − | 0.148912i | ||||
\(448\) | 17.4471 | + | 30.2192i | 0.0389443 | + | 0.0674536i | ||||
\(449\) | 616.562 | + | 355.972i | 1.37319 | + | 0.792811i | 0.991328 | − | 0.131408i | \(-0.0419499\pi\) |
0.381861 | + | 0.924220i | \(0.375283\pi\) | |||||||
\(450\) | −19.7876 | + | 23.5820i | −0.0439725 | + | 0.0524044i | ||||
\(451\) | −127.006 | + | 348.947i | −0.281611 | + | 0.773719i | ||||
\(452\) | −21.3934 | − | 58.7779i | −0.0473305 | − | 0.130040i | ||||
\(453\) | 221.924 | − | 186.216i | 0.489898 | − | 0.411073i | ||||
\(454\) | −7.85586 | − | 44.5528i | −0.0173037 | − | 0.0981340i | ||||
\(455\) | 376.975i | 0.828516i | ||||||||
\(456\) | 83.7271 | + | 29.1114i | 0.183612 | + | 0.0638408i | ||||
\(457\) | −287.427 | −0.628942 | −0.314471 | − | 0.949267i | \(-0.601827\pi\) | ||||
−0.314471 | + | 0.949267i | \(0.601827\pi\) | |||||||
\(458\) | −2.95256 | + | 0.520617i | −0.00644664 | + | 0.00113672i | ||||
\(459\) | 106.775 | + | 127.249i | 0.232624 | + | 0.277231i | ||||
\(460\) | −220.706 | + | 80.3303i | −0.479795 | + | 0.174631i | ||||
\(461\) | −508.431 | − | 185.054i | −1.10289 | − | 0.401418i | −0.274507 | − | 0.961585i | \(-0.588515\pi\) |
−0.828379 | + | 0.560167i | \(0.810737\pi\) | |||||||
\(462\) | 44.6789 | + | 37.4900i | 0.0967075 | + | 0.0811472i | ||||
\(463\) | −292.755 | + | 507.066i | −0.632300 | + | 1.09518i | 0.354781 | + | 0.934950i | \(0.384556\pi\) |
−0.987080 | + | 0.160226i | \(0.948778\pi\) | |||||||
\(464\) | 12.2916 | − | 7.09655i | 0.0264905 | − | 0.0152943i | ||||
\(465\) | 39.4631 | − | 223.806i | 0.0848668 | − | 0.481303i | ||||
\(466\) | 19.6820 | + | 3.47046i | 0.0422360 | + | 0.00744734i | ||||
\(467\) | −234.602 | − | 406.342i | −0.502360 | − | 0.870112i | −0.999996 | − | 0.00272667i | \(-0.999132\pi\) |
0.497637 | − | 0.867386i | \(-0.334201\pi\) | |||||||
\(468\) | 202.562 | + | 116.949i | 0.432825 | + | 0.249892i | ||||
\(469\) | −125.167 | + | 149.168i | −0.266881 | + | 0.318056i | ||||
\(470\) | 27.2451 | − | 74.8553i | 0.0579683 | − | 0.159267i | ||||
\(471\) | −78.8413 | − | 216.615i | −0.167391 | − | 0.459904i | ||||
\(472\) | 40.6420 | − | 34.1027i | 0.0861060 | − | 0.0722515i | ||||
\(473\) | 82.2947 | + | 466.717i | 0.173985 | + | 0.986716i | ||||
\(474\) | − | 71.6627i | − | 0.151187i | ||||||
\(475\) | −51.0626 | − | 41.6045i | −0.107500 | − | 0.0875884i | ||||
\(476\) | −57.4968 | −0.120792 | ||||||||
\(477\) | −481.091 | + | 84.8293i | −1.00858 | + | 0.177839i | ||||
\(478\) | −316.892 | − | 377.658i | −0.662955 | − | 0.790079i | ||||
\(479\) | −152.302 | + | 55.4335i | −0.317959 | + | 0.115728i | −0.496069 | − | 0.868283i | \(-0.665224\pi\) |
0.178110 | + | 0.984011i | \(0.443002\pi\) | |||||||
\(480\) | −40.6879 | − | 14.8092i | −0.0847666 | − | 0.0308525i | ||||
\(481\) | −889.274 | − | 746.190i | −1.84880 | − | 1.55133i | ||||
\(482\) | −289.663 | + | 501.710i | −0.600960 | + | 1.04089i | ||||
\(483\) | −157.682 | + | 91.0380i | −0.326465 | + | 0.188484i | ||||
\(484\) | 30.6113 | − | 173.605i | 0.0632465 | − | 0.358689i | ||||
\(485\) | −615.573 | − | 108.542i | −1.26922 | − | 0.223798i | ||||
\(486\) | −177.816 | − | 307.987i | −0.365877 | − | 0.633718i | ||||
\(487\) | 239.299 | + | 138.159i | 0.491374 | + | 0.283695i | 0.725144 | − | 0.688597i | \(-0.241773\pi\) |
−0.233770 | + | 0.972292i | \(0.575106\pi\) | |||||||
\(488\) | −127.575 | + | 152.038i | −0.261424 | + | 0.311552i | ||||
\(489\) | −79.1471 | + | 217.455i | −0.161855 | + | 0.444693i | ||||
\(490\) | −67.2794 | − | 184.849i | −0.137305 | − | 0.377242i | ||||
\(491\) | 505.806 | − | 424.422i | 1.03016 | − | 0.864403i | 0.0392860 | − | 0.999228i | \(-0.487492\pi\) |
0.990869 | + | 0.134825i | \(0.0430472\pi\) | |||||||
\(492\) | −37.1109 | − | 210.466i | −0.0754286 | − | 0.427777i | ||||
\(493\) | 23.3867i | 0.0474375i | ||||||||
\(494\) | −243.939 | + | 436.974i | −0.493804 | + | 0.884563i | ||||
\(495\) | 167.025 | 0.337424 | ||||||||
\(496\) | 116.957 | − | 20.6227i | 0.235801 | − | 0.0415780i | ||||
\(497\) | 79.0108 | + | 94.1614i | 0.158975 | + | 0.189460i | ||||
\(498\) | −355.578 | + | 129.420i | −0.714012 | + | 0.259879i | ||||
\(499\) | 743.979 | + | 270.786i | 1.49094 | + | 0.542658i | 0.953697 | − | 0.300770i | \(-0.0972437\pi\) |
0.537243 | + | 0.843428i | \(0.319466\pi\) | |||||||
\(500\) | 202.384 | + | 169.820i | 0.404768 | + | 0.339641i | ||||
\(501\) | −158.188 | + | 273.990i | −0.315745 | + | 0.546886i | ||||
\(502\) | 149.054 | − | 86.0563i | 0.296920 | − | 0.171427i | ||||
\(503\) | 14.8482 | − | 84.2084i | 0.0295193 | − | 0.167412i | −0.966484 | − | 0.256726i | \(-0.917356\pi\) |
0.996004 | + | 0.0893136i | \(0.0284673\pi\) | |||||||
\(504\) | 76.2891 | + | 13.4518i | 0.151367 | + | 0.0266901i | ||||
\(505\) | 268.347 | + | 464.791i | 0.531380 | + | 0.920378i | ||||
\(506\) | −177.668 | − | 102.577i | −0.351122 | − | 0.202721i | ||||
\(507\) | 188.609 | − | 224.775i | 0.372009 | − | 0.443343i | ||||
\(508\) | 0.470394 | − | 1.29240i | 0.000925972 | − | 0.00254409i | ||||
\(509\) | −316.810 | − | 870.430i | −0.622417 | − | 1.71008i | −0.700992 | − | 0.713169i | \(-0.747259\pi\) |
0.0785743 | − | 0.996908i | \(-0.474963\pi\) | |||||||
\(510\) | 54.6544 | − | 45.8605i | 0.107166 | − | 0.0899225i | ||||
\(511\) | 44.8087 | + | 254.123i | 0.0876882 | + | 0.497305i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 411.197 | − | 245.393i | 0.801554 | − | 0.478349i | ||||
\(514\) | −434.147 | −0.844644 | ||||||||
\(515\) | −118.789 | + | 20.9457i | −0.230658 | + | 0.0406713i | ||||
\(516\) | −175.318 | − | 208.936i | −0.339763 | − | 0.404914i | ||||
\(517\) | 65.3843 | − | 23.7979i | 0.126469 | − | 0.0460308i | ||||
\(518\) | −361.286 | − | 131.497i | −0.697462 | − | 0.253856i | ||||
\(519\) | −49.0039 | − | 41.1191i | −0.0944198 | − | 0.0792276i | ||||
\(520\) | 122.226 | − | 211.702i | 0.235051 | − | 0.407120i | ||||
\(521\) | −86.2616 | + | 49.8032i | −0.165569 | + | 0.0955915i | −0.580495 | − | 0.814264i | \(-0.697141\pi\) |
0.414926 | + | 0.909855i | \(0.363808\pi\) | |||||||
\(522\) | 5.47150 | − | 31.0304i | 0.0104818 | − | 0.0594453i | ||||
\(523\) | 239.053 | + | 42.1515i | 0.457080 | + | 0.0805956i | 0.397448 | − | 0.917625i | \(-0.369896\pi\) |
0.0596325 | + | 0.998220i | \(0.481007\pi\) | |||||||
\(524\) | 14.2901 | + | 24.7511i | 0.0272711 | + | 0.0472349i | ||||
\(525\) | 21.5998 | + | 12.4706i | 0.0411424 | + | 0.0237536i | ||||
\(526\) | −444.116 | + | 529.277i | −0.844327 | + | 1.00623i | ||||
\(527\) | −66.9296 | + | 183.888i | −0.127001 | + | 0.348933i | ||||
\(528\) | −12.9355 | − | 35.5399i | −0.0244990 | − | 0.0673105i | ||||
\(529\) | 85.3732 | − | 71.6366i | 0.161386 | − | 0.135419i | ||||
\(530\) | 88.6570 | + | 502.799i | 0.167277 | + | 0.948677i | ||||
\(531\) | − | 117.782i | − | 0.221812i | ||||||
\(532\) | −26.4206 | + | 163.628i | −0.0496628 | + | 0.307571i | ||||
\(533\) | 1206.55 | 2.26370 | ||||||||
\(534\) | −41.8918 | + | 7.38666i | −0.0784491 | + | 0.0138327i | ||||
\(535\) | −499.909 | − | 595.768i | −0.934409 | − | 1.11358i | ||||
\(536\) | 118.657 | − | 43.1874i | 0.221374 | − | 0.0805736i | ||||
\(537\) | −227.538 | − | 82.8170i | −0.423720 | − | 0.154222i | ||||
\(538\) | 145.355 | + | 121.967i | 0.270177 | + | 0.226705i | ||||
\(539\) | 85.9115 | − | 148.803i | 0.159391 | − | 0.276072i | ||||
\(540\) | −202.566 | + | 116.951i | −0.375122 | + | 0.216577i | ||||
\(541\) | −46.4200 | + | 263.261i | −0.0858040 | + | 0.486619i | 0.911376 | + | 0.411574i | \(0.135021\pi\) |
−0.997180 | + | 0.0750444i | \(0.976090\pi\) | |||||||
\(542\) | 483.812 | + | 85.3092i | 0.892643 | + | 0.157397i | ||||
\(543\) | −88.5471 | − | 153.368i | −0.163070 | − | 0.282446i | ||||
\(544\) | 32.2892 | + | 18.6422i | 0.0593551 | + | 0.0342687i | ||||
\(545\) | −123.337 | + | 146.988i | −0.226307 | + | 0.269702i | ||||
\(546\) | 64.8145 | − | 178.076i | 0.118708 | − | 0.326147i | ||||
\(547\) | 280.282 | + | 770.068i | 0.512398 | + | 1.40780i | 0.878730 | + | 0.477319i | \(0.158391\pi\) |
−0.366332 | + | 0.930484i | \(0.619386\pi\) | |||||||
\(548\) | 35.6980 | − | 29.9542i | 0.0651424 | − | 0.0546610i | ||||
\(549\) | 76.5114 | + | 433.918i | 0.139365 | + | 0.790378i | ||||
\(550\) | 28.1025i | 0.0510954i | ||||||||
\(551\) | 66.5552 | + | 10.7465i | 0.120790 | + | 0.0195037i | ||||
\(552\) | 118.069 | 0.213893 | ||||||||
\(553\) | 131.960 | − | 23.2681i | 0.238626 | − | 0.0420762i | ||||
\(554\) | −24.8180 | − | 29.5770i | −0.0447979 | − | 0.0533880i | ||||
\(555\) | 448.310 | − | 163.171i | 0.807765 | − | 0.294003i | ||||
\(556\) | 212.648 | + | 77.3975i | 0.382460 | + | 0.139204i | ||||
\(557\) | −256.291 | − | 215.054i | −0.460128 | − | 0.386093i | 0.383050 | − | 0.923728i | \(-0.374874\pi\) |
−0.843178 | + | 0.537634i | \(0.819318\pi\) | |||||||
\(558\) | 131.827 | − | 228.331i | 0.236249 | − | 0.409195i | ||||
\(559\) | 1333.54 | − | 769.917i | 2.38557 | − | 1.37731i | ||||
\(560\) | 14.0588 | − | 79.7315i | 0.0251050 | − | 0.142378i | ||||
\(561\) | 61.3725 | + | 10.8216i | 0.109398 | + | 0.0192899i | ||||
\(562\) | 189.152 | + | 327.620i | 0.336569 | + | 0.582954i | ||||
\(563\) | 243.931 | + | 140.834i | 0.433271 | + | 0.250149i | 0.700739 | − | 0.713418i | \(-0.252854\pi\) |
−0.267468 | + | 0.963567i | \(0.586187\pi\) | |||||||
\(564\) | −25.7402 | + | 30.6760i | −0.0456387 | + | 0.0543901i | ||||
\(565\) | −49.6370 | + | 136.377i | −0.0878532 | + | 0.241375i | ||||
\(566\) | −197.415 | − | 542.394i | −0.348790 | − | 0.958294i | ||||
\(567\) | 49.9224 | − | 41.8899i | 0.0880465 | − | 0.0738798i | ||||
\(568\) | −13.8411 | − | 78.4970i | −0.0243682 | − | 0.138199i | ||||
\(569\) | 601.503i | 1.05712i | 0.848895 | + | 0.528562i | \(0.177268\pi\) | ||||
−0.848895 | + | 0.528562i | \(0.822732\pi\) | |||||||
\(570\) | −105.398 | − | 176.612i | −0.184909 | − | 0.309846i | ||||
\(571\) | −915.373 | −1.60311 | −0.801553 | − | 0.597924i | \(-0.795993\pi\) | ||||
−0.801553 | + | 0.597924i | \(0.795993\pi\) | |||||||
\(572\) | 210.280 | − | 37.0780i | 0.367622 | − | 0.0648217i | ||||
\(573\) | 216.288 | + | 257.761i | 0.377465 | + | 0.449846i | ||||
\(574\) | 375.504 | − | 136.672i | 0.654189 | − | 0.238105i | ||||
\(575\) | −82.4394 | − | 30.0055i | −0.143373 | − | 0.0521834i | ||||
\(576\) | −38.4811 | − | 32.2895i | −0.0668075 | − | 0.0560582i | ||||
\(577\) | −258.356 | + | 447.486i | −0.447758 | + | 0.775539i | −0.998240 | − | 0.0593080i | \(-0.981111\pi\) |
0.550482 | + | 0.834847i | \(0.314444\pi\) | |||||||
\(578\) | 300.747 | − | 173.636i | 0.520323 | − | 0.300409i | ||||
\(579\) | −54.7380 | + | 310.435i | −0.0945389 | + | 0.536157i | ||||
\(580\) | −32.4306 | − | 5.71839i | −0.0559148 | − | 0.00985929i | ||||
\(581\) | −353.767 | − | 612.743i | −0.608894 | − | 1.05463i | ||||
\(582\) | 272.124 | + | 157.111i | 0.467567 | + | 0.269950i | ||||
\(583\) | −286.656 | + | 341.623i | −0.491692 | + | 0.585975i | ||||
\(584\) | 57.2304 | − | 157.239i | 0.0979972 | − | 0.269245i | ||||
\(585\) | −185.612 | − | 509.964i | −0.317285 | − | 0.871734i | ||||
\(586\) | 3.41715 | − | 2.86733i | 0.00583131 | − | 0.00489305i | ||||
\(587\) | −82.9090 | − | 470.200i | −0.141242 | − | 0.801022i | −0.970308 | − | 0.241872i | \(-0.922239\pi\) |
0.829066 | − | 0.559150i | \(-0.188873\pi\) | |||||||
\(588\) | 98.8868i | 0.168175i | ||||||||
\(589\) | 492.563 | + | 274.971i | 0.836270 | + | 0.466844i | ||||
\(590\) | −123.097 | −0.208639 | ||||||||
\(591\) | 297.879 | − | 52.5242i | 0.504026 | − | 0.0888734i | ||||
\(592\) | 160.256 | + | 190.986i | 0.270703 | + | 0.322611i | ||||
\(593\) | −410.794 | + | 149.517i | −0.692739 | + | 0.252136i | −0.664307 | − | 0.747459i | \(-0.731273\pi\) |
−0.0284313 | + | 0.999596i | \(0.509051\pi\) | |||||||
\(594\) | −191.987 | − | 69.8776i | −0.323211 | − | 0.117639i | ||||
\(595\) | 102.194 | + | 85.7506i | 0.171754 | + | 0.144119i | ||||
\(596\) | −232.390 | + | 402.512i | −0.389917 | + | 0.675355i | ||||
\(597\) | −26.2051 | + | 15.1295i | −0.0438946 | + | 0.0253425i | ||||
\(598\) | −115.750 | + | 656.451i | −0.193562 | + | 1.09774i | ||||
\(599\) | 13.4819 | + | 2.37723i | 0.0225074 | + | 0.00396866i | 0.184891 | − | 0.982759i | \(-0.440807\pi\) |
−0.162383 | + | 0.986728i | \(0.551918\pi\) | |||||||
\(600\) | −8.08670 | − | 14.0066i | −0.0134778 | − | 0.0233443i | ||||
\(601\) | −973.988 | − | 562.332i | −1.62061 | − | 0.935661i | −0.986756 | − | 0.162209i | \(-0.948138\pi\) |
−0.633855 | − | 0.773452i | \(-0.718528\pi\) | |||||||
\(602\) | 327.812 | − | 390.671i | 0.544538 | − | 0.648955i | ||||
\(603\) | 95.8774 | − | 263.421i | 0.159001 | − | 0.436851i | ||||
\(604\) | −120.139 | − | 330.078i | −0.198905 | − | 0.546487i | ||||
\(605\) | −313.323 | + | 262.909i | −0.517889 | + | 0.434560i | ||||
\(606\) | −46.8495 | − | 265.697i | −0.0773094 | − | 0.438444i | ||||
\(607\) | − | 320.377i | − | 0.527805i | −0.964549 | − | 0.263902i | \(-0.914990\pi\) | ||
0.964549 | − | 0.263902i | \(-0.0850097\pi\) | |||||||
\(608\) | 67.8903 | − | 83.3241i | 0.111662 | − | 0.137046i | ||||
\(609\) | −25.5287 | −0.0419190 | ||||||||
\(610\) | 453.497 | − | 79.9638i | 0.743438 | − | 0.131088i | ||||
\(611\) | −145.321 | − | 173.187i | −0.237841 | − | 0.283448i | ||||
\(612\) | 77.7805 | − | 28.3098i | 0.127092 | − | 0.0462578i | ||||
\(613\) | −384.340 | − | 139.888i | −0.626982 | − | 0.228203i | 0.00893520 | − | 0.999960i | \(-0.497156\pi\) |
−0.635917 | + | 0.771757i | \(0.719378\pi\) | |||||||
\(614\) | 98.7138 | + | 82.8307i | 0.160772 | + | 0.134903i | ||||
\(615\) | −247.929 | + | 429.425i | −0.403136 | + | 0.698252i | ||||
\(616\) | 61.2435 | − | 35.3589i | 0.0994212 | − | 0.0574009i | ||||
\(617\) | −182.674 | + | 1036.00i | −0.296068 | + | 1.67909i | 0.366761 | + | 0.930315i | \(0.380467\pi\) |
−0.662829 | + | 0.748771i | \(0.730644\pi\) | |||||||
\(618\) | 59.7151 | + | 10.5294i | 0.0966264 | + | 0.0170378i | ||||
\(619\) | 274.394 | + | 475.264i | 0.443285 | + | 0.767793i | 0.997931 | − | 0.0642938i | \(-0.0204795\pi\) |
−0.554646 | + | 0.832087i | \(0.687146\pi\) | |||||||
\(620\) | −238.634 | − | 137.775i | −0.384893 | − | 0.222218i | ||||
\(621\) | 409.976 | − | 488.590i | 0.660187 | − | 0.786780i | ||||
\(622\) | −127.047 | + | 349.059i | −0.204256 | + | 0.561188i | ||||
\(623\) | −27.2037 | − | 74.7415i | −0.0436656 | − | 0.119970i | ||||
\(624\) | −94.1363 | + | 78.9897i | −0.150859 | + | 0.126586i | ||||
\(625\) | −91.3939 | − | 518.321i | −0.146230 | − | 0.829313i | ||||
\(626\) | 122.781i | 0.196135i | ||||||||
\(627\) | 58.9984 | − | 169.685i | 0.0940963 | − | 0.270630i | ||||
\(628\) | −279.501 | −0.445065 | ||||||||
\(629\) | −404.567 | + | 71.3360i | −0.643190 | + | 0.113412i | ||||
\(630\) | −115.533 | − | 137.686i | −0.183385 | − | 0.218550i | ||||
\(631\) | −597.463 | + | 217.459i | −0.946852 | + | 0.344626i | −0.768868 | − | 0.639408i | \(-0.779180\pi\) |
−0.177984 | + | 0.984033i | \(0.556957\pi\) | |||||||
\(632\) | −81.6508 | − | 29.7184i | −0.129194 | − | 0.0470229i | ||||
\(633\) | 140.598 | + | 117.976i | 0.222114 | + | 0.186376i | ||||
\(634\) | 290.328 | − | 502.863i | 0.457931 | − | 0.793159i | ||||
\(635\) | −2.76354 | + | 1.59553i | −0.00435204 | + | 0.00251265i | ||||
\(636\) | 44.5678 | − | 252.756i | 0.0700751 | − | 0.397416i | ||||
\(637\) | −549.800 | − | 96.9446i | −0.863109 | − | 0.152189i | ||||
\(638\) | −14.3822 | − | 24.9107i | −0.0225426 | − | 0.0390449i | ||||
\(639\) | −153.247 | − | 88.4770i | −0.239823 | − | 0.138462i | ||||
\(640\) | −33.7465 | + | 40.2175i | −0.0527289 | + | 0.0628398i | ||||
\(641\) | 100.961 | − | 277.387i | 0.157505 | − | 0.432741i | −0.835691 | − | 0.549200i | \(-0.814932\pi\) |
0.993195 | + | 0.116460i | \(0.0371546\pi\) | |||||||
\(642\) | 133.716 | + | 367.381i | 0.208280 | + | 0.572245i | ||||
\(643\) | −142.296 | + | 119.400i | −0.221300 | + | 0.185692i | −0.746697 | − | 0.665165i | \(-0.768361\pi\) |
0.525397 | + | 0.850857i | \(0.323917\pi\) | |||||||
\(644\) | 38.3358 | + | 217.413i | 0.0595276 | + | 0.337598i | ||||
\(645\) | 632.827i | 0.981127i | ||||||||
\(646\) | 62.9698 | + | 165.528i | 0.0974764 | + | 0.256235i | ||||
\(647\) | −2.35457 | −0.00363922 | −0.00181961 | − | 0.999998i | \(-0.500579\pi\) | ||||
−0.00181961 | + | 0.999998i | \(0.500579\pi\) | |||||||
\(648\) | −41.6175 | + | 7.33828i | −0.0642245 | + | 0.0113245i | ||||
\(649\) | −69.1140 | − | 82.3668i | −0.106493 | − | 0.126913i | ||||
\(650\) | 85.8030 | − | 31.2297i | 0.132005 | − | 0.0480457i | ||||
\(651\) | −200.730 | − | 73.0598i | −0.308341 | − | 0.112227i | ||||
\(652\) | 214.941 | + | 180.357i | 0.329663 | + | 0.276620i | ||||
\(653\) | 262.742 | − | 455.082i | 0.402361 | − | 0.696910i | −0.591649 | − | 0.806195i | \(-0.701523\pi\) |
0.994010 | + | 0.109286i | \(0.0348563\pi\) | |||||||
\(654\) | 83.5343 | − | 48.2286i | 0.127728 | − | 0.0737440i | ||||
\(655\) | 11.5149 | − | 65.3042i | 0.0175800 | − | 0.0997011i | ||||
\(656\) | −255.190 | − | 44.9969i | −0.389009 | − | 0.0685928i | ||||
\(657\) | −185.739 | − | 321.710i | −0.282708 | − | 0.489665i | ||||
\(658\) | −64.8446 | − | 37.4380i | −0.0985480 | − | 0.0568967i | ||||
\(659\) | −461.666 | + | 550.192i | −0.700556 | + | 0.834890i | −0.992589 | − | 0.121518i | \(-0.961224\pi\) |
0.292034 | + | 0.956408i | \(0.405668\pi\) | |||||||
\(660\) | −30.0129 | + | 82.4599i | −0.0454742 | + | 0.124939i | ||||
\(661\) | 210.327 | + | 577.870i | 0.318196 | + | 0.874236i | 0.990933 | + | 0.134355i | \(0.0428962\pi\) |
−0.672737 | + | 0.739881i | \(0.734882\pi\) | |||||||
\(662\) | −53.7014 | + | 45.0609i | −0.0811200 | + | 0.0680678i | ||||
\(663\) | −35.1613 | − | 199.410i | −0.0530336 | − | 0.300769i | ||||
\(664\) | 458.807i | 0.690975i | ||||||||
\(665\) | 290.993 | − | 251.425i | 0.437584 | − | 0.378082i | ||||
\(666\) | 553.486 | 0.831059 | ||||||||
\(667\) | 88.4322 | − | 15.5930i | 0.132582 | − | 0.0233778i | ||||
\(668\) | 246.577 | + | 293.859i | 0.369127 | + | 0.439909i | ||||
\(669\) | 223.824 | − | 81.4654i | 0.334566 | − | 0.121772i | ||||
\(670\) | −275.307 | − | 100.204i | −0.410906 | − | 0.149558i | ||||
\(671\) | 308.126 | + | 258.548i | 0.459204 | + | 0.385318i | ||||
\(672\) | −20.3496 | + | 35.2466i | −0.0302822 | + | 0.0524502i | ||||
\(673\) | 25.9470 | − | 14.9805i | 0.0385542 | − | 0.0222593i | −0.480599 | − | 0.876940i | \(-0.659581\pi\) |
0.519153 | + | 0.854681i | \(0.326247\pi\) | |||||||
\(674\) | 29.4266 | − | 166.887i | 0.0436597 | − | 0.247606i | ||||
\(675\) | −86.0415 | − | 15.1714i | −0.127469 | − | 0.0224762i | ||||
\(676\) | −177.887 | − | 308.110i | −0.263147 | − | 0.455784i | ||||
\(677\) | 117.121 | + | 67.6196i | 0.172999 | + | 0.0998813i | 0.583999 | − | 0.811754i | \(-0.301487\pi\) |
−0.411000 | + | 0.911635i | \(0.634820\pi\) | |||||||
\(678\) | 46.8953 | − | 55.8877i | 0.0691672 | − | 0.0824302i | ||||
\(679\) | −200.949 | + | 552.103i | −0.295948 | + | 0.813112i | ||||
\(680\) | −29.5872 | − | 81.2902i | −0.0435106 | − | 0.119544i | ||||
\(681\) | 40.4214 | − | 33.9176i | 0.0593560 | − | 0.0498056i | ||||
\(682\) | −41.7948 | − | 237.030i | −0.0612828 | − | 0.347552i | ||||
\(683\) | − | 887.697i | − | 1.29970i | −0.760062 | − | 0.649851i | \(-0.774831\pi\) | ||
0.760062 | − | 0.649851i | \(-0.225169\pi\) | |||||||
\(684\) | −44.8244 | − | 234.361i | −0.0655328 | − | 0.342633i | ||||
\(685\) | −108.123 | −0.157843 | ||||||||
\(686\) | −479.754 | + | 84.5935i | −0.699349 | + | 0.123314i | ||||
\(687\) | −2.24776 | − | 2.67877i | −0.00327184 | − | 0.00389923i | ||||
\(688\) | −310.760 | + | 113.108i | −0.451687 | + | 0.164400i | ||||
\(689\) | 1361.61 | + | 495.585i | 1.97621 | + | 0.719281i | ||||
\(690\) | −209.853 | − | 176.088i | −0.304135 | − | 0.255200i | ||||
\(691\) | 406.963 | − | 704.880i | 0.588947 | − | 1.02009i | −0.405423 | − | 0.914129i | \(-0.632876\pi\) |
0.994371 | − | 0.105958i | \(-0.0337908\pi\) | |||||||
\(692\) | −67.1720 | + | 38.7818i | −0.0970694 | + | 0.0560430i | ||||
\(693\) | 27.2620 | − | 154.611i | 0.0393391 | − | 0.223103i | ||||
\(694\) | −60.7908 | − | 10.7191i | −0.0875948 | − | 0.0154453i | ||||
\(695\) | −262.525 | − | 454.707i | −0.377735 | − | 0.654255i | ||||
\(696\) | 14.3365 | + | 8.27716i | 0.0205984 | + | 0.0118925i | ||||
\(697\) | 274.455 | − | 327.082i | 0.393766 | − | 0.469272i | ||||
\(698\) | 260.846 | − | 716.668i | 0.373705 | − | 1.02675i | ||||
\(699\) | 7.97264 | + | 21.9047i | 0.0114058 | + | 0.0313371i | ||||
\(700\) | 23.1661 | − | 19.4387i | 0.0330945 | − | 0.0277696i | ||||
\(701\) | −23.1527 | − | 131.305i | −0.0330281 | − | 0.187311i | 0.963830 | − | 0.266517i | \(-0.0858728\pi\) |
−0.996858 | + | 0.0792055i | \(0.974762\pi\) | |||||||
\(702\) | 663.833i | 0.945630i | ||||||||
\(703\) | 17.1080 | + | 1184.12i | 0.0243357 | + | 1.68438i | ||||
\(704\) | −45.8577 | −0.0651387 | ||||||||
\(705\) | 91.5003 | − | 16.1340i | 0.129788 | − | 0.0228851i | ||||
\(706\) | −190.917 | − | 227.526i | −0.270421 | − | 0.322275i | ||||
\(707\) | 474.044 | − | 172.538i | 0.670501 | − | 0.244043i | ||||
\(708\) | 58.1488 | + | 21.1644i | 0.0821311 | + | 0.0298933i | ||||
\(709\) | 214.127 | + | 179.674i | 0.302013 | + | 0.253419i | 0.781182 | − | 0.624304i | \(-0.214617\pi\) |
−0.479169 | + | 0.877723i | \(0.659062\pi\) | |||||||
\(710\) | −92.4693 | + | 160.162i | −0.130238 | + | 0.225580i | ||||
\(711\) | −167.057 | + | 96.4502i | −0.234960 | + | 0.135654i | ||||
\(712\) | −8.95631 | + | 50.7938i | −0.0125791 | + | 0.0713396i | ||||
\(713\) | 739.960 | + | 130.475i | 1.03781 | + | 0.182994i | ||||
\(714\) | −33.5311 | − | 58.0775i | −0.0469623 | − | 0.0813411i | ||||
\(715\) | −429.045 | − | 247.709i | −0.600063 | − | 0.346446i | ||||
\(716\) | −188.719 | + | 224.907i | −0.263574 | + | 0.314116i | ||||
\(717\) | 196.666 | − | 540.336i | 0.274290 | − | 0.753607i | ||||
\(718\) | 278.854 | + | 766.146i | 0.388376 | + | 1.06706i | ||||
\(719\) | −315.415 | + | 264.665i | −0.438686 | + | 0.368101i | −0.835217 | − | 0.549920i | \(-0.814658\pi\) |
0.396532 | + | 0.918021i | \(0.370214\pi\) | |||||||
\(720\) | 20.2390 | + | 114.781i | 0.0281098 | + | 0.159419i | ||||
\(721\) | 113.379i | 0.157252i | ||||||||
\(722\) | 500.004 | − | 103.141i | 0.692526 | − | 0.142854i | ||||
\(723\) | −675.704 | −0.934583 | ||||||||
\(724\) | −211.464 | + | 37.2869i | −0.292078 | + | 0.0515012i | ||||
\(725\) | −7.90665 | − | 9.42278i | −0.0109057 | − | 0.0129969i | ||||
\(726\) | 193.211 | − | 70.3230i | 0.266131 | − | 0.0968637i | ||||
\(727\) | 559.751 | + | 203.733i | 0.769947 | + | 0.280238i | 0.696974 | − | 0.717096i | \(-0.254529\pi\) |
0.0729725 | + | 0.997334i | \(0.476751\pi\) | |||||||
\(728\) | −176.017 | − | 147.696i | −0.241782 | − | 0.202879i | ||||
\(729\) | 140.164 | − | 242.772i | 0.192269 | − | 0.333020i | ||||
\(730\) | −336.226 | + | 194.120i | −0.460584 | + | 0.265918i | ||||
\(731\) | 94.6240 | − | 536.639i | 0.129445 | − | 0.734117i | ||||
\(732\) | −227.973 | − | 40.1977i | −0.311438 | − | 0.0549149i | ||||
\(733\) | 412.372 | + | 714.250i | 0.562581 | + | 0.974420i | 0.997270 | + | 0.0738389i | \(0.0235251\pi\) |
−0.434689 | + | 0.900581i | \(0.643142\pi\) | |||||||
\(734\) | −648.640 | − | 374.492i | −0.883705 | − | 0.510207i | ||||
\(735\) | 147.480 | − | 175.759i | 0.200652 | − | 0.239128i | ||||
\(736\) | 48.9630 | − | 134.525i | 0.0665258 | − | 0.182778i | ||||
\(737\) | −87.5254 | − | 240.474i | −0.118759 | − | 0.326288i | ||||
\(738\) | −440.681 | + | 369.776i | −0.597129 | + | 0.501051i | ||||
\(739\) | 61.7683 | + | 350.306i | 0.0835837 | + | 0.474027i | 0.997653 | + | 0.0684691i | \(0.0218115\pi\) |
−0.914070 | + | 0.405557i | \(0.867077\pi\) | |||||||
\(740\) | − | 578.460i | − | 0.781703i | ||||||
\(741\) | −583.649 | + | 8.43245i | −0.787650 | + | 0.0113798i | ||||
\(742\) | 479.898 | 0.646763 | ||||||||
\(743\) | 202.533 | − | 35.7120i | 0.272588 | − | 0.0480646i | −0.0356832 | − | 0.999363i | \(-0.511361\pi\) |
0.308271 | + | 0.951299i | \(0.400250\pi\) | |||||||
\(744\) | 89.0383 | + | 106.112i | 0.119675 | + | 0.142623i | ||||
\(745\) | 1013.35 | − | 368.829i | 1.36020 | − | 0.495073i | ||||
\(746\) | 389.155 | + | 141.641i | 0.521656 | + | 0.189867i | ||||
\(747\) | 780.267 | + | 654.722i | 1.04453 | + | 0.876468i | ||||
\(748\) | 37.7810 | − | 65.4386i | 0.0505093 | − | 0.0874847i | ||||
\(749\) | −633.082 | + | 365.510i | −0.845236 | + | 0.487997i | ||||
\(750\) | −53.5089 | + | 303.464i | −0.0713452 | + | 0.404619i | ||||
\(751\) | 385.995 | + | 68.0613i | 0.513975 | + | 0.0906276i | 0.424619 | − | 0.905372i | \(-0.360408\pi\) |
0.0893557 | + | 0.996000i | \(0.471519\pi\) | |||||||
\(752\) | 24.2770 | + | 42.0491i | 0.0322833 | + | 0.0559163i | ||||
\(753\) | 173.851 | + | 100.373i | 0.230878 | + | 0.133297i | ||||
\(754\) | −60.0751 | + | 71.5947i | −0.0796752 | + | 0.0949532i | ||||
\(755\) | −278.746 | + | 765.848i | −0.369200 | + | 1.01437i | ||||
\(756\) | 75.1957 | + | 206.599i | 0.0994653 | + | 0.273279i | ||||
\(757\) | 242.726 | − | 203.671i | 0.320642 | − | 0.269050i | −0.468232 | − | 0.883606i | \(-0.655109\pi\) |
0.788874 | + | 0.614555i | \(0.210664\pi\) | |||||||
\(758\) | −106.980 | − | 606.714i | −0.141135 | − | 0.800415i | ||||
\(759\) | − | 239.283i | − | 0.315261i | ||||||
\(760\) | −244.936 | + | 46.8470i | −0.322284 | + | 0.0616408i | ||||
\(761\) | 926.094 | 1.21694 | 0.608472 | − | 0.793576i | \(-0.291783\pi\) | ||||
0.608472 | + | 0.793576i | \(0.291783\pi\) | |||||||
\(762\) | 1.57977 | − | 0.278557i | 0.00207319 | − | 0.000365560i | ||||
\(763\) | 115.931 | + | 138.161i | 0.151941 | + | 0.181077i | ||||
\(764\) | 383.381 | − | 139.539i | 0.501808 | − | 0.182643i | ||||
\(765\) | −180.467 | − | 65.6845i | −0.235904 | − | 0.0858621i | ||||
\(766\) | −575.327 | − | 482.757i | −0.751080 | − | 0.630231i | ||||
\(767\) | −174.679 | + | 302.553i | −0.227743 | + | 0.394463i | ||||
\(768\) | 22.8560 | − | 13.1959i | 0.0297604 | − | 0.0171822i | ||||
\(769\) | 175.692 | − | 996.399i | 0.228468 | − | 1.29571i | −0.627475 | − | 0.778637i | \(-0.715911\pi\) |
0.855943 | − | 0.517070i | \(-0.172977\pi\) | |||||||
\(770\) | −161.587 | − | 28.4922i | −0.209853 | − | 0.0370028i | ||||
\(771\) | −253.187 | − | 438.532i | −0.328387 | − | 0.568783i | ||||
\(772\) | 331.002 | + | 191.104i | 0.428759 | + | 0.247544i | ||||
\(773\) | −668.110 | + | 796.222i | −0.864307 | + | 1.03004i | 0.134925 | + | 0.990856i | \(0.456921\pi\) |
−0.999232 | + | 0.0391854i | \(0.987524\pi\) | |||||||
\(774\) | −251.102 | + | 689.897i | −0.324421 | + | 0.891340i | ||||
\(775\) | −35.2026 | − | 96.7183i | −0.0454227 | − | 0.124798i | ||||
\(776\) | 291.858 | − | 244.898i | 0.376105 | − | 0.315590i | ||||
\(777\) | −77.8698 | − | 441.621i | −0.100218 | − | 0.568367i | ||||
\(778\) | − | 596.183i | − | 0.766302i | ||||||
\(779\) | −804.715 | − | 931.359i | −1.03301 | − | 1.19558i | ||||
\(780\) | 285.121 | 0.365540 | ||||||||
\(781\) | −159.085 | + | 28.0510i | −0.203694 | + | 0.0359168i | ||||
\(782\) | 151.627 | + | 180.701i | 0.193896 | + | 0.231076i | ||||
\(783\) | 84.0335 | − | 30.5857i | 0.107323 | − | 0.0390622i | ||||
\(784\) | 112.669 | + | 41.0082i | 0.143711 | + | 0.0523064i | ||||
\(785\) | 496.779 | + | 416.847i | 0.632839 | + | 0.531015i | ||||
\(786\) | −16.6674 | + | 28.8688i | −0.0212053 | + | 0.0367287i | ||||
\(787\) | −611.789 | + | 353.216i | −0.777368 | + | 0.448814i | −0.835497 | − | 0.549496i | \(-0.814820\pi\) |
0.0581288 | + | 0.998309i | \(0.481487\pi\) | |||||||
\(788\) | 63.6854 | − | 361.178i | 0.0808191 | − | 0.458348i | ||||
\(789\) | −793.623 | − | 139.937i | −1.00586 | − | 0.177360i | ||||
\(790\) | 100.802 | + | 174.595i | 0.127598 | + | 0.221006i | ||||
\(791\) | 118.138 | + | 68.2072i | 0.149353 | + | 0.0862291i | ||||
\(792\) | −65.4392 | + | 77.9874i | −0.0826253 | + | 0.0984690i | ||||
\(793\) | 446.990 | − | 1228.10i | 0.563670 | − | 1.54867i | ||||
\(794\) | 105.095 | + | 288.747i | 0.132362 | + | 0.363662i | ||||
\(795\) | −456.174 | + | 382.776i | −0.573804 | + | 0.481479i | ||||
\(796\) | 6.37097 | + | 36.1316i | 0.00800373 | + | 0.0453914i | ||||
\(797\) | 513.346i | 0.644098i | 0.946723 | + | 0.322049i | \(0.104372\pi\) | ||||
−0.946723 | + | 0.322049i | \(0.895628\pi\) | |||||||
\(798\) | −180.688 | + | 68.7372i | −0.226427 | + | 0.0861369i | ||||
\(799\) | −80.0050 | −0.100131 | ||||||||
\(800\) | −19.3123 | + | 3.40528i | −0.0241404 | + | 0.00425660i | ||||
\(801\) | 73.6013 | + | 87.7146i | 0.0918867 | + | 0.109506i | ||||
\(802\) | −649.482 | + | 236.392i | −0.809828 | + | 0.294753i | ||||
\(803\) | −318.667 | − | 115.985i | −0.396846 | − | 0.144440i | ||||
\(804\) | 112.822 | + | 94.6689i | 0.140326 | + | 0.117747i | ||||
\(805\) | 256.112 | − | 443.599i | 0.318151 | − | 0.551054i | ||||
\(806\) | −677.260 | + | 391.016i | −0.840273 | + | 0.485132i | ||||
\(807\) | −38.4309 | + | 217.952i | −0.0476219 | + | 0.270077i | ||||
\(808\) | −322.157 | − | 56.8050i | −0.398709 | − | 0.0703032i | ||||
\(809\) | 142.031 | + | 246.005i | 0.175564 | + | 0.304086i | 0.940356 | − | 0.340191i | \(-0.110492\pi\) |
−0.764792 | + | 0.644277i | \(0.777158\pi\) | |||||||
\(810\) | 84.9143 | + | 49.0253i | 0.104832 | + | 0.0605251i | ||||
\(811\) | −468.331 | + | 558.135i | −0.577474 | + | 0.688206i | −0.973147 | − | 0.230185i | \(-0.926067\pi\) |
0.395673 | + | 0.918391i | \(0.370511\pi\) | |||||||
\(812\) | −10.5867 | + | 29.0868i | −0.0130378 | + | 0.0358211i | ||||
\(813\) | 195.980 | + | 538.450i | 0.241058 | + | 0.662300i | ||||
\(814\) | 387.060 | − | 324.782i | 0.475504 | − | 0.398995i | ||||
\(815\) | −113.047 | − | 641.124i | −0.138708 | − | 0.786655i | ||||
\(816\) | 43.4871i | 0.0532930i | ||||||||
\(817\) | −1483.72 | − | 515.880i | −1.81606 | − | 0.631432i | ||||
\(818\) | −378.197 | −0.462343 | ||||||||
\(819\) | −502.356 | + | 88.5789i | −0.613377 | + | 0.108155i | ||||
\(820\) | 386.461 | + | 460.566i | 0.471294 | + | 0.561666i | ||||
\(821\) | −970.915 | + | 353.384i | −1.18260 | + | 0.430431i | −0.857120 | − | 0.515117i | \(-0.827748\pi\) |
−0.325481 | + | 0.945549i | \(0.605526\pi\) | |||||||
\(822\) | 51.0752 | + | 18.5899i | 0.0621353 | + | 0.0226154i | ||||
\(823\) | −423.083 | − | 355.009i | −0.514074 | − | 0.431360i | 0.348486 | − | 0.937314i | \(-0.386696\pi\) |
−0.862560 | + | 0.505954i | \(0.831140\pi\) | |||||||
\(824\) | 36.7607 | − | 63.6714i | 0.0446125 | − | 0.0772712i | ||||
\(825\) | −28.3863 | + | 16.3888i | −0.0344076 | + | 0.0198653i | ||||
\(826\) | −20.0920 | + | 113.948i | −0.0243245 | + | 0.137951i | ||||
\(827\) | 409.405 | + | 72.1892i | 0.495049 | + | 0.0872904i | 0.415598 | − | 0.909548i | \(-0.363572\pi\) |
0.0794506 | + | 0.996839i | \(0.474683\pi\) | |||||||
\(828\) | −158.908 | − | 275.236i | −0.191918 | − | 0.332411i | ||||
\(829\) | −444.402 | − | 256.576i | −0.536070 | − | 0.309500i | 0.207414 | − | 0.978253i | \(-0.433495\pi\) |
−0.743485 | + | 0.668753i | \(0.766828\pi\) | |||||||
\(830\) | 684.264 | − | 815.474i | 0.824415 | − | 0.982499i | ||||
\(831\) | 15.4023 | − | 42.3174i | 0.0185346 | − | 0.0509235i | ||||
\(832\) | 50.9608 | + | 140.014i | 0.0612509 | + | 0.168286i | ||||
\(833\) | −151.344 | + | 126.993i | −0.181685 | + | 0.152452i | ||||
\(834\) | 45.8331 | + | 259.933i | 0.0549558 | + | 0.311670i | ||||
\(835\) | − | 890.043i | − | 1.06592i | ||||||
\(836\) | −168.868 | − | 137.589i | −0.201995 | − | 0.164581i | ||||
\(837\) | 748.281 | 0.894004 | ||||||||
\(838\) | −523.254 | + | 92.2638i | −0.624408 | + | 0.110100i | ||||
\(839\) | −7.35409 | − | 8.76426i | −0.00876530 | − | 0.0104461i | 0.761644 | − | 0.647996i | \(-0.224393\pi\) |
−0.770409 | + | 0.637550i | \(0.779948\pi\) | |||||||
\(840\) | 88.7356 | − | 32.2971i | 0.105638 | − | 0.0384490i | ||||
\(841\) | −778.451 | − | 283.333i | −0.925625 | − | 0.336900i | ||||
\(842\) | 381.933 | + | 320.480i | 0.453602 | + | 0.380617i | ||||
\(843\) | −220.619 | + | 382.124i | −0.261708 | + | 0.453291i | ||||
\(844\) | 192.725 | − | 111.270i | 0.228347 | − | 0.131836i | ||||
\(845\) | −143.341 | + | 812.929i | −0.169635 | + | 0.962046i | ||||
\(846\) | 106.154 | + | 18.7178i | 0.125477 | + | 0.0221251i | ||||
\(847\) | 192.227 | + | 332.947i | 0.226950 | + | 0.393089i | ||||
\(848\) | −269.502 | − | 155.597i | −0.317809 | − | 0.183487i | ||||
\(849\) | 432.744 | − | 515.724i | 0.509710 | − | 0.607448i | ||||
\(850\) | 11.0516 | − | 30.3640i | 0.0130019 | − | 0.0357224i | ||||
\(851\) | 539.487 | + | 1482.23i | 0.633944 | + | 1.74175i | ||||
\(852\) | 71.2180 | − | 59.7590i | 0.0835892 | − | 0.0701396i | ||||
\(853\) | −134.820 | − | 764.601i | −0.158054 | − | 0.896367i | −0.955941 | − | 0.293560i | \(-0.905160\pi\) |
0.797887 | − | 0.602807i | \(-0.205951\pi\) | |||||||
\(854\) | − | 432.842i | − | 0.506841i | ||||||
\(855\) | −269.856 | + | 483.400i | −0.315621 | + | 0.565380i | ||||
\(856\) | 474.037 | 0.553781 | ||||||||
\(857\) | 522.042 | − | 92.0500i | 0.609150 | − | 0.107410i | 0.139440 | − | 0.990230i | \(-0.455470\pi\) |
0.469710 | + | 0.882821i | \(0.344359\pi\) | |||||||
\(858\) | 160.084 | + | 190.781i | 0.186578 | + | 0.222355i | ||||
\(859\) | 1081.33 | − | 393.571i | 1.25882 | − | 0.458174i | 0.375449 | − | 0.926843i | \(-0.377489\pi\) |
0.883374 | + | 0.468669i | \(0.155266\pi\) | |||||||
\(860\) | 721.027 | + | 262.432i | 0.838404 | + | 0.305154i | ||||
\(861\) | 357.040 | + | 299.592i | 0.414681 | + | 0.347958i | ||||
\(862\) | 570.749 | − | 988.567i | 0.662122 | − | 1.14683i | ||||
\(863\) | −1296.34 | + | 748.443i | −1.50213 | + | 0.867257i | −0.502136 | + | 0.864789i | \(0.667452\pi\) |
−0.999997 | + | 0.00246819i | \(0.999214\pi\) | |||||||
\(864\) | 24.7568 | − | 140.403i | 0.0286537 | − | 0.162503i | ||||
\(865\) | 177.229 | + | 31.2503i | 0.204889 | + | 0.0361275i | ||||
\(866\) | 158.232 | + | 274.066i | 0.182716 | + | 0.316473i | ||||
\(867\) | 350.780 | + | 202.523i | 0.404591 | + | 0.233591i | ||||
\(868\) | −166.485 | + | 198.409i | −0.191803 | + | 0.228582i | ||||
\(869\) | −60.2286 | + | 165.477i | −0.0693080 | + | 0.190422i | ||||
\(870\) | −13.1368 | − | 36.0930i | −0.0150998 | − | 0.0414862i | ||||
\(871\) | −636.955 | + | 534.469i | −0.731292 | + | 0.613627i | ||||
\(872\) | −20.3089 | − | 115.177i | −0.0232900 | − | 0.132084i | ||||
\(873\) | − | 845.816i | − | 0.968861i | ||||||
\(874\) | 583.926 | − | 348.473i | 0.668107 | − | 0.398710i | ||||
\(875\) | −576.175 | −0.658486 | ||||||||
\(876\) | 192.203 | − | 33.8906i | 0.219410 | − | 0.0386879i | ||||
\(877\) | 828.301 | + | 987.130i | 0.944470 | + | 1.12558i | 0.991941 | + | 0.126703i | \(0.0404396\pi\) |
−0.0474702 | + | 0.998873i | \(0.515116\pi\) | |||||||
\(878\) | 350.819 | − | 127.688i | 0.399566 | − | 0.145430i | ||||
\(879\) | 4.88911 | + | 1.77949i | 0.00556213 | + | 0.00202445i | ||||
\(880\) | 81.5064 | + | 68.3920i | 0.0926210 | + | 0.0777182i | ||||
\(881\) | 597.077 | − | 1034.17i | 0.677726 | − | 1.17386i | −0.297937 | − | 0.954585i | \(-0.596299\pi\) |
0.975664 | − | 0.219271i | \(-0.0703680\pi\) | |||||||
\(882\) | 230.520 | − | 133.091i | 0.261361 | − | 0.150897i | ||||
\(883\) | 214.803 | − | 1218.21i | 0.243265 | − | 1.37962i | −0.581223 | − | 0.813744i | \(-0.697426\pi\) |
0.824488 | − | 0.565879i | \(-0.191463\pi\) | |||||||
\(884\) | −241.784 | − | 42.6330i | −0.273511 | − | 0.0482274i | ||||
\(885\) | −71.7879 | − | 124.340i | −0.0811163 | − | 0.140498i | ||||
\(886\) | 101.107 | + | 58.3740i | 0.114116 | + | 0.0658848i | ||||
\(887\) | 63.4969 | − | 75.6726i | 0.0715861 | − | 0.0853130i | −0.729063 | − | 0.684447i | \(-0.760044\pi\) |
0.800649 | + | 0.599134i | \(0.204488\pi\) | |||||||
\(888\) | −99.4565 | + | 273.254i | −0.112001 | + | 0.307719i | ||||
\(889\) | 1.02587 | + | 2.81856i | 0.00115396 | + | 0.00317049i | ||||
\(890\) | 91.6725 | − | 76.9223i | 0.103003 | − | 0.0864296i | ||||
\(891\) | 14.8721 | + | 84.3437i | 0.0166914 | + | 0.0946618i | ||||
\(892\) | − | 288.804i | − | 0.323771i | ||||||
\(893\) | −36.7635 | + | 227.683i | −0.0411685 | + | 0.254964i | ||||
\(894\) | −542.103 | −0.606379 | ||||||||
\(895\) | 670.851 | − | 118.289i | 0.749554 | − | 0.132167i | ||||
\(896\) | 31.7201 | + | 37.8026i | 0.0354019 | + | 0.0421904i | ||||
\(897\) | −730.585 | + | 265.911i | −0.814476 | + | 0.296445i | ||||
\(898\) | 946.122 | + | 344.360i | 1.05359 | + | 0.383475i | ||||
\(899\) | 80.7025 | + | 67.7174i | 0.0897692 | + | 0.0753253i | ||||
\(900\) | −21.7676 | + | 37.7026i | −0.0241863 | + | 0.0418918i | ||||
\(901\) | 444.072 | − | 256.385i | 0.492866 | − | 0.284556i | ||||
\(902\) | −91.1925 | + | 517.178i | −0.101100 | + | 0.573368i | ||||
\(903\) | 585.791 | + | 103.291i | 0.648716 | + | 0.114386i | ||||
\(904\) | −44.2296 | − | 76.6079i | −0.0489266 | − | 0.0847433i | ||||
\(905\) | 431.462 | + | 249.104i | 0.476753 | + | 0.275254i | ||||
\(906\) | 263.349 | − | 313.848i | 0.290673 | − | 0.346410i | ||||
\(907\) | 176.772 | − | 485.677i | 0.194897 | − | 0.535476i | −0.803295 | − | 0.595582i | \(-0.796922\pi\) |
0.998192 | + | 0.0601057i | \(0.0191438\pi\) | |||||||
\(908\) | −21.8822 | − | 60.1208i | −0.0240993 | − | 0.0662123i | ||||
\(909\) | −556.325 | + | 466.812i | −0.612019 | + | 0.513545i | ||||
\(910\) | 92.5759 | + | 525.024i | 0.101732 | + | 0.576949i | ||||
\(911\) | − | 145.881i | − | 0.160133i | −0.996790 | − | 0.0800666i | \(-0.974487\pi\) | ||
0.996790 | − | 0.0800666i | \(-0.0255133\pi\) | |||||||
\(912\) | 123.758 | + | 19.9829i | 0.135700 | + | 0.0219111i | ||||
\(913\) | 929.838 | 1.01844 | ||||||||
\(914\) | −400.307 | + | 70.5850i | −0.437973 | + | 0.0772264i | ||||
\(915\) | 345.243 | + | 411.444i | 0.377314 | + | 0.449666i | ||||
\(916\) | −3.98427 | + | 1.45016i | −0.00434964 | + | 0.00158314i | ||||
\(917\) | −58.5709 | − | 21.3181i | −0.0638723 | − | 0.0232476i | ||||
\(918\) | 179.957 | + | 151.002i | 0.196032 | + | 0.164490i | ||||
\(919\) | 790.159 | − | 1368.60i | 0.859803 | − | 1.48922i | −0.0123129 | − | 0.999924i | \(-0.503919\pi\) |
0.872116 | − | 0.489299i | \(-0.162747\pi\) | |||||||
\(920\) | −287.656 | + | 166.078i | −0.312669 | + | 0.180520i | ||||
\(921\) | −26.0992 | + | 148.016i | −0.0283379 | + | 0.160712i | ||||
\(922\) | −753.550 | − | 132.871i | −0.817300 | − | 0.144112i | ||||
\(923\) | 262.435 | + | 454.550i | 0.284328 | + | 0.492470i | ||||
\(924\) | 71.4322 | + | 41.2414i | 0.0773075 | + | 0.0446335i | ||||
\(925\) | 138.887 | − | 165.519i | 0.150148 | − | 0.178940i | ||||
\(926\) | −283.205 | + | 778.099i | −0.305837 | + | 0.840279i | ||||
\(927\) | −55.8245 | − | 153.376i | −0.0602206 | − | 0.165455i | ||||
\(928\) | 15.3761 | − | 12.9021i | 0.0165691 | − | 0.0139031i | ||||
\(929\) | 227.831 | + | 1292.09i | 0.245243 | + | 1.39084i | 0.819927 | + | 0.572468i | \(0.194014\pi\) |
−0.574684 | + | 0.818375i | \(0.694875\pi\) | |||||||
\(930\) | − | 321.392i | − | 0.345583i | ||||||
\(931\) | 291.858 | + | 489.058i | 0.313489 | + | 0.525304i | ||||
\(932\) | 28.2639 | 0.0303261 | ||||||||
\(933\) | −426.676 | + | 75.2345i | −0.457316 | + | 0.0806372i | ||||
\(934\) | −426.525 | − | 508.312i | −0.456664 | − | 0.544231i | ||||
\(935\) | −164.746 | + | 59.9627i | −0.176199 | + | 0.0641312i | ||||
\(936\) | 310.834 | + | 113.134i | 0.332088 | + | 0.120870i | ||||
\(937\) | −893.067 | − | 749.372i | −0.953113 | − | 0.799757i | 0.0267062 | − | 0.999643i | \(-0.491498\pi\) |
−0.979819 | + | 0.199887i | \(0.935943\pi\) | |||||||
\(938\) | −137.692 | + | 238.489i | −0.146793 | + | 0.254253i | ||||
\(939\) | −124.021 | + | 71.6035i | −0.132078 | + | 0.0762551i | ||||
\(940\) | 19.5624 | − | 110.944i | 0.0208111 | − | 0.118025i | ||||
\(941\) | 1055.43 | + | 186.101i | 1.12161 | + | 0.197770i | 0.703547 | − | 0.710649i | \(-0.251599\pi\) |
0.418062 | + | 0.908419i | \(0.362710\pi\) | |||||||
\(942\) | −163.000 | − | 282.324i | −0.173036 | − | 0.299707i | ||||
\(943\) | −1419.79 | − | 819.716i | −1.50561 | − | 0.869264i | ||||
\(944\) | 48.2285 | − | 57.4765i | 0.0510895 | − | 0.0608861i | ||||
\(945\) | 174.469 | − | 479.351i | 0.184624 | − | 0.507249i | ||||
\(946\) | 229.228 | + | 629.800i | 0.242313 | + | 0.665750i | ||||
\(947\) | −228.451 | + | 191.693i | −0.241237 | + | 0.202422i | −0.755388 | − | 0.655278i | \(-0.772552\pi\) |
0.514151 | + | 0.857700i | \(0.328107\pi\) | |||||||
\(948\) | −17.5986 | − | 99.8067i | −0.0185639 | − | 0.105281i | ||||
\(949\) | 1101.85i | 1.16107i | ||||||||
\(950\) | −81.3334 | − | 45.4040i | −0.0856141 | − | 0.0477937i | ||||
\(951\) | 677.256 | 0.712152 | ||||||||
\(952\) | −80.0774 | + | 14.1198i | −0.0841149 | + | 0.0148317i | ||||
\(953\) | 34.4017 | + | 40.9984i | 0.0360983 | + | 0.0430203i | 0.783792 | − | 0.621024i | \(-0.213283\pi\) |
−0.747693 | + | 0.664044i | \(0.768839\pi\) | |||||||
\(954\) | −649.197 | + | 236.288i | −0.680500 | + | 0.247682i | ||||
\(955\) | −889.523 | − | 323.760i | −0.931437 | − | 0.339015i | ||||
\(956\) | −534.088 | − | 448.153i | −0.558670 | − | 0.468780i | ||||
\(957\) | 16.7748 | − | 29.0549i | 0.0175286 | − | 0.0303604i | ||||
\(958\) | −198.503 | + | 114.606i | −0.207205 | + | 0.119630i | ||||
\(959\) | −17.6479 | + | 100.086i | −0.0184024 | + | 0.104365i | ||||
\(960\) | −60.3040 | − | 10.6332i | −0.0628167 | − | 0.0110763i | ||||
\(961\) | −39.7412 | − | 68.8338i | −0.0413540 | − | 0.0716272i | ||||
\(962\) | −1421.76 | − | 820.856i | −1.47792 | − | 0.853280i | ||||
\(963\) | 676.454 | − | 806.167i | 0.702445 | − | 0.837141i | ||||
\(964\) | −280.214 | + | 769.880i | −0.290678 | + | 0.798631i | ||||
\(965\) | −303.304 | − | 833.320i | −0.314304 | − | 0.863544i | ||||
\(966\) | −197.252 | + | 165.514i | −0.204195 | + | 0.171340i | ||||
\(967\) | −59.9439 | − | 339.959i | −0.0619896 | − | 0.351561i | −0.999988 | − | 0.00492064i | \(-0.998434\pi\) |
0.937998 | − | 0.346640i | \(-0.112677\pi\) | |||||||
\(968\) | − | 249.303i | − | 0.257544i | ||||||
\(969\) | −130.477 | + | 160.139i | −0.134651 | + | 0.165262i | ||||
\(970\) | −883.981 | −0.911321 | ||||||||
\(971\) | 469.582 | − | 82.8000i | 0.483607 | − | 0.0852729i | 0.0734708 | − | 0.997297i | \(-0.476592\pi\) |
0.410136 | + | 0.912024i | \(0.365481\pi\) | |||||||
\(972\) | −323.284 | − | 385.275i | −0.332597 | − | 0.396374i | ||||
\(973\) | −463.760 | + | 168.795i | −0.476629 | + | 0.173479i | ||||
\(974\) | 367.207 | + | 133.652i | 0.377009 | + | 0.137220i | ||||
\(975\) | 81.5839 | + | 68.4570i | 0.0836758 | + | 0.0702123i | ||||
\(976\) | −140.340 | + | 243.076i | −0.143791 | + | 0.249054i | ||||
\(977\) | −885.780 | + | 511.405i | −0.906632 | + | 0.523444i | −0.879346 | − | 0.476183i | \(-0.842020\pi\) |
−0.0272862 | + | 0.999628i | \(0.508687\pi\) | |||||||
\(978\) | −56.8288 | + | 322.292i | −0.0581072 | + | 0.329542i | ||||
\(979\) | 102.941 | + | 18.1512i | 0.105149 | + | 0.0185406i | ||||
\(980\) | −139.096 | − | 240.922i | −0.141935 | − | 0.245838i | ||||
\(981\) | −224.856 | − | 129.821i | −0.229211 | − | 0.132335i | ||||
\(982\) | 600.223 | − | 715.318i | 0.611225 | − | 0.728430i | ||||
\(983\) | 433.282 | − | 1190.43i | 0.440775 | − | 1.21102i | −0.498209 | − | 0.867057i | \(-0.666009\pi\) |
0.938984 | − | 0.343962i | \(-0.111769\pi\) | |||||||
\(984\) | −103.371 | − | 284.009i | −0.105052 | − | 0.288627i | ||||
\(985\) | −651.853 | + | 546.970i | −0.661780 | + | 0.555299i | ||||
\(986\) | 5.74320 | + | 32.5713i | 0.00582475 | + | 0.0330338i | ||||
\(987\) | − | 87.3327i | − | 0.0884830i | ||||||
\(988\) | −232.431 | + | 668.492i | −0.235254 | + | 0.676611i | ||||
\(989\) | −2092.29 | −2.11556 | ||||||||
\(990\) | 232.621 | − | 41.0173i | 0.234970 | − | 0.0414316i | ||||
\(991\) | 189.372 | + | 225.685i | 0.191092 | + | 0.227735i | 0.853080 | − | 0.521779i | \(-0.174732\pi\) |
−0.661988 | + | 0.749514i | \(0.730287\pi\) | |||||||
\(992\) | 157.825 | − | 57.4437i | 0.159098 | − | 0.0579069i | ||||
\(993\) | −76.8337 | − | 27.9652i | −0.0773753 | − | 0.0281623i | ||||
\(994\) | 133.164 | + | 111.738i | 0.133968 | + | 0.112413i | ||||
\(995\) | 42.5629 | − | 73.7211i | 0.0427768 | − | 0.0740916i | ||||
\(996\) | −463.442 | + | 267.568i | −0.465303 | + | 0.268643i | ||||
\(997\) | −46.5402 | + | 263.942i | −0.0466802 | + | 0.264737i | −0.999211 | − | 0.0397042i | \(-0.987358\pi\) |
0.952531 | + | 0.304441i | \(0.0984696\pi\) | |||||||
\(998\) | 1102.66 | + | 194.428i | 1.10487 | + | 0.194818i | ||||
\(999\) | 785.429 | + | 1360.40i | 0.786215 | + | 1.36176i |
(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 | 38.3.f.a.29.4 | yes | 24 | |
3.2 | odd | 2 | 342.3.z.b.181.2 | 24 | |||
4.3 | odd | 2 | 304.3.z.c.257.1 | 24 | |||
19.2 | odd | 18 | inner | 38.3.f.a.21.4 | ✓ | 24 | |
19.6 | even | 9 | 722.3.b.f.721.7 | 24 | |||
19.13 | odd | 18 | 722.3.b.f.721.18 | 24 | |||
57.2 | even | 18 | 342.3.z.b.325.2 | 24 | |||
76.59 | even | 18 | 304.3.z.c.97.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.3.f.a.21.4 | ✓ | 24 | 19.2 | odd | 18 | inner | |
38.3.f.a.29.4 | yes | 24 | 1.1 | even | 1 | trivial | |
304.3.z.c.97.1 | 24 | 76.59 | even | 18 | |||
304.3.z.c.257.1 | 24 | 4.3 | odd | 2 | |||
342.3.z.b.181.2 | 24 | 3.2 | odd | 2 | |||
342.3.z.b.325.2 | 24 | 57.2 | even | 18 | |||
722.3.b.f.721.7 | 24 | 19.6 | even | 9 | |||
722.3.b.f.721.18 | 24 | 19.13 | odd | 18 |