Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(17,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.w (of order \(12\), degree \(4\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.9 | ||
Character | \(\chi\) | \(=\) | 105.17 |
Dual form | 105.3.w.a.68.9 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55206 | − | 0.415874i | −0.776032 | − | 0.207937i | −0.150997 | − | 0.988534i | \(-0.548249\pi\) |
−0.625035 | + | 0.780597i | \(0.714915\pi\) | |||||||
\(3\) | −2.55828 | + | 1.56691i | −0.852760 | + | 0.522302i | ||||
\(4\) | −1.22815 | − | 0.709073i | −0.307037 | − | 0.177268i | ||||
\(5\) | 3.76090 | − | 3.29479i | 0.752181 | − | 0.658957i | ||||
\(6\) | 4.62225 | − | 1.36802i | 0.770376 | − | 0.228003i | ||||
\(7\) | −5.75785 | + | 3.98085i | −0.822550 | + | 0.568693i | ||||
\(8\) | 6.15604 | + | 6.15604i | 0.769505 | + | 0.769505i | ||||
\(9\) | 4.08961 | − | 8.01718i | 0.454401 | − | 0.890797i | ||||
\(10\) | −7.20738 | + | 3.54966i | −0.720738 | + | 0.354966i | ||||
\(11\) | 11.9074 | + | 6.87474i | 1.08249 | + | 0.624976i | 0.931567 | − | 0.363569i | \(-0.118442\pi\) |
0.150923 | + | 0.988545i | \(0.451775\pi\) | |||||||
\(12\) | 4.25300 | − | 0.110389i | 0.354417 | − | 0.00919909i | ||||
\(13\) | 13.4181 | + | 13.4181i | 1.03216 | + | 1.03216i | 0.999465 | + | 0.0326986i | \(0.0104101\pi\) |
0.0326986 | + | 0.999465i | \(0.489590\pi\) | |||||||
\(14\) | 10.5921 | − | 3.78400i | 0.756577 | − | 0.270286i | ||||
\(15\) | −4.45883 | + | 14.3220i | −0.297255 | + | 0.954798i | ||||
\(16\) | −4.15814 | − | 7.20211i | −0.259884 | − | 0.450132i | ||||
\(17\) | 11.8463 | − | 3.17420i | 0.696840 | − | 0.186718i | 0.107025 | − | 0.994256i | \(-0.465867\pi\) |
0.589815 | + | 0.807539i | \(0.299201\pi\) | |||||||
\(18\) | −9.68147 | + | 10.7424i | −0.537859 | + | 0.596801i | ||||
\(19\) | 0.412457 | + | 0.714396i | 0.0217082 | + | 0.0375998i | 0.876675 | − | 0.481082i | \(-0.159756\pi\) |
−0.854967 | + | 0.518682i | \(0.826423\pi\) | |||||||
\(20\) | −6.95519 | + | 1.37974i | −0.347760 | + | 0.0689868i | ||||
\(21\) | 8.49257 | − | 19.2062i | 0.404408 | − | 0.914579i | ||||
\(22\) | −15.6220 | − | 15.6220i | −0.710092 | − | 0.710092i | ||||
\(23\) | −1.45610 | + | 5.43425i | −0.0633088 | + | 0.236272i | −0.990329 | − | 0.138740i | \(-0.955695\pi\) |
0.927020 | + | 0.375012i | \(0.122361\pi\) | |||||||
\(24\) | −25.3948 | − | 6.10294i | −1.05812 | − | 0.254289i | ||||
\(25\) | 3.28878 | − | 24.7827i | 0.131551 | − | 0.991309i | ||||
\(26\) | −15.2455 | − | 26.4061i | −0.586367 | − | 1.01562i | ||||
\(27\) | 2.09980 | + | 26.9182i | 0.0777706 | + | 0.996971i | ||||
\(28\) | 9.89421 | − | 0.806351i | 0.353365 | − | 0.0287983i | ||||
\(29\) | −4.58981 | −0.158269 | −0.0791347 | − | 0.996864i | \(-0.525216\pi\) | ||||
−0.0791347 | + | 0.996864i | \(0.525216\pi\) | |||||||
\(30\) | 12.8765 | − | 20.3743i | 0.429217 | − | 0.679144i | ||||
\(31\) | 4.73029 | + | 2.73103i | 0.152590 | + | 0.0880978i | 0.574351 | − | 0.818609i | \(-0.305255\pi\) |
−0.421761 | + | 0.906707i | \(0.638588\pi\) | |||||||
\(32\) | −5.55454 | − | 20.7298i | −0.173579 | − | 0.647807i | ||||
\(33\) | −41.2345 | + | 1.07027i | −1.24953 | + | 0.0324323i | ||||
\(34\) | −19.7063 | −0.579596 | ||||||||
\(35\) | −8.53865 | + | 33.9425i | −0.243961 | + | 0.969785i | ||||
\(36\) | −10.7074 | + | 6.94647i | −0.297428 | + | 0.192957i | ||||
\(37\) | −11.0527 | + | 41.2492i | −0.298721 | + | 1.11484i | 0.639495 | + | 0.768795i | \(0.279143\pi\) |
−0.938217 | + | 0.346048i | \(0.887523\pi\) | |||||||
\(38\) | −0.343060 | − | 1.28032i | −0.00902790 | − | 0.0336926i | ||||
\(39\) | −55.3523 | − | 13.3024i | −1.41929 | − | 0.341087i | ||||
\(40\) | 43.4351 | + | 2.86944i | 1.08588 | + | 0.0717360i | ||||
\(41\) | 68.0906 | 1.66075 | 0.830373 | − | 0.557208i | \(-0.188127\pi\) | ||||
0.830373 | + | 0.557208i | \(0.188127\pi\) | |||||||
\(42\) | −21.1684 | + | 26.2773i | −0.504009 | + | 0.625651i | ||||
\(43\) | −24.3339 | + | 24.3339i | −0.565905 | + | 0.565905i | −0.930979 | − | 0.365074i | \(-0.881044\pi\) |
0.365074 | + | 0.930979i | \(0.381044\pi\) | |||||||
\(44\) | −9.74938 | − | 16.8864i | −0.221577 | − | 0.383782i | ||||
\(45\) | −11.0343 | − | 43.6262i | −0.245206 | − | 0.969471i | ||||
\(46\) | 4.51993 | − | 7.82875i | 0.0982594 | − | 0.170190i | ||||
\(47\) | 6.45346 | − | 24.0846i | 0.137308 | − | 0.512439i | −0.862670 | − | 0.505767i | \(-0.831209\pi\) |
0.999978 | − | 0.00667218i | \(-0.00212384\pi\) | |||||||
\(48\) | 21.9227 | + | 11.9096i | 0.456724 | + | 0.248117i | ||||
\(49\) | 17.3056 | − | 45.8423i | 0.353176 | − | 0.935557i | ||||
\(50\) | −15.4109 | + | 37.0967i | −0.308218 | + | 0.741934i | ||||
\(51\) | −25.3324 | + | 26.6825i | −0.496715 | + | 0.523187i | ||||
\(52\) | −6.96505 | − | 25.9939i | −0.133943 | − | 0.499883i | ||||
\(53\) | −13.4753 | + | 3.61069i | −0.254251 | + | 0.0681263i | −0.383693 | − | 0.923461i | \(-0.625348\pi\) |
0.129442 | + | 0.991587i | \(0.458681\pi\) | |||||||
\(54\) | 7.93557 | − | 42.6521i | 0.146955 | − | 0.789853i | ||||
\(55\) | 67.4333 | − | 13.3771i | 1.22606 | − | 0.243220i | ||||
\(56\) | −59.9518 | − | 10.9393i | −1.07057 | − | 0.195344i | ||||
\(57\) | −2.17457 | − | 1.18134i | −0.0381504 | − | 0.0207253i | ||||
\(58\) | 7.12369 | + | 1.90879i | 0.122822 | + | 0.0329101i | ||||
\(59\) | 42.3877 | + | 24.4725i | 0.718435 | + | 0.414789i | 0.814176 | − | 0.580618i | \(-0.197189\pi\) |
−0.0957414 | + | 0.995406i | \(0.530522\pi\) | |||||||
\(60\) | 15.6314 | − | 14.4279i | 0.260524 | − | 0.240465i | ||||
\(61\) | −11.4199 | + | 6.59330i | −0.187212 | + | 0.108087i | −0.590677 | − | 0.806908i | \(-0.701139\pi\) |
0.403465 | + | 0.914995i | \(0.367806\pi\) | |||||||
\(62\) | −6.20594 | − | 6.20594i | −0.100096 | − | 0.100096i | ||||
\(63\) | 8.36787 | + | 62.4418i | 0.132823 | + | 0.991140i | ||||
\(64\) | 67.7492i | 1.05858i | ||||||||
\(65\) | 94.6741 | + | 6.25443i | 1.45653 | + | 0.0962219i | ||||
\(66\) | 64.4438 | + | 15.4873i | 0.976421 | + | 0.234656i | ||||
\(67\) | 25.3871 | − | 6.80245i | 0.378912 | − | 0.101529i | −0.0643359 | − | 0.997928i | \(-0.520493\pi\) |
0.443248 | + | 0.896399i | \(0.353826\pi\) | |||||||
\(68\) | −16.7998 | − | 4.50148i | −0.247055 | − | 0.0661982i | ||||
\(69\) | −4.78984 | − | 16.1839i | −0.0694180 | − | 0.234550i | ||||
\(70\) | 27.3683 | − | 49.1299i | 0.390976 | − | 0.701856i | ||||
\(71\) | 111.772i | 1.57426i | 0.616790 | + | 0.787128i | \(0.288433\pi\) | ||||
−0.616790 | + | 0.787128i | \(0.711567\pi\) | |||||||
\(72\) | 74.5299 | − | 24.1783i | 1.03514 | − | 0.335810i | ||||
\(73\) | 5.01894 | − | 1.34482i | 0.0687526 | − | 0.0184222i | −0.224279 | − | 0.974525i | \(-0.572003\pi\) |
0.293031 | + | 0.956103i | \(0.405336\pi\) | |||||||
\(74\) | 34.3090 | − | 59.4249i | 0.463635 | − | 0.803039i | ||||
\(75\) | 30.4186 | + | 68.5544i | 0.405581 | + | 0.914059i | ||||
\(76\) | − | 1.16985i | − | 0.0153927i | ||||||
\(77\) | −95.9283 | + | 7.81789i | −1.24582 | + | 0.101531i | ||||
\(78\) | 80.3782 | + | 43.6658i | 1.03049 | + | 0.559818i | ||||
\(79\) | −49.9119 | + | 28.8166i | −0.631796 | + | 0.364767i | −0.781447 | − | 0.623971i | \(-0.785518\pi\) |
0.149651 | + | 0.988739i | \(0.452185\pi\) | |||||||
\(80\) | −39.3678 | − | 13.3863i | −0.492097 | − | 0.167328i | ||||
\(81\) | −47.5502 | − | 65.5742i | −0.587040 | − | 0.809558i | ||||
\(82\) | −105.681 | − | 28.3171i | −1.28879 | − | 0.345331i | ||||
\(83\) | 105.311 | − | 105.311i | 1.26881 | − | 1.26881i | 0.322110 | − | 0.946702i | \(-0.395608\pi\) |
0.946702 | − | 0.322110i | \(-0.104392\pi\) | |||||||
\(84\) | −24.0487 | + | 17.5662i | −0.286294 | + | 0.209121i | ||||
\(85\) | 34.0944 | − | 50.9688i | 0.401111 | − | 0.599633i | ||||
\(86\) | 47.8876 | − | 27.6479i | 0.556833 | − | 0.321488i | ||||
\(87\) | 11.7420 | − | 7.19181i | 0.134966 | − | 0.0826645i | ||||
\(88\) | 30.9813 | + | 115.624i | 0.352060 | + | 1.31390i | ||||
\(89\) | −62.2378 | + | 35.9330i | −0.699301 | + | 0.403742i | −0.807087 | − | 0.590433i | \(-0.798957\pi\) |
0.107786 | + | 0.994174i | \(0.465624\pi\) | |||||||
\(90\) | −1.01713 | + | 72.2995i | −0.0113015 | + | 0.803328i | ||||
\(91\) | −130.675 | − | 23.8440i | −1.43599 | − | 0.262021i | ||||
\(92\) | 5.64159 | − | 5.64159i | 0.0613217 | − | 0.0613217i | ||||
\(93\) | −16.3807 | + | 0.425170i | −0.176136 | + | 0.00457172i | ||||
\(94\) | −20.0324 | + | 34.6971i | −0.213110 | + | 0.369118i | ||||
\(95\) | 3.90499 | + | 1.32782i | 0.0411052 | + | 0.0139770i | ||||
\(96\) | 46.6918 | + | 44.3293i | 0.486373 | + | 0.461763i | ||||
\(97\) | −89.5020 | + | 89.5020i | −0.922701 | + | 0.922701i | −0.997220 | − | 0.0745185i | \(-0.976258\pi\) |
0.0745185 | + | 0.997220i | \(0.476258\pi\) | |||||||
\(98\) | −45.9241 | + | 63.9532i | −0.468613 | + | 0.652584i | ||||
\(99\) | 103.813 | − | 67.3487i | 1.04861 | − | 0.680290i | ||||
\(100\) | −21.6119 | + | 28.1049i | −0.216119 | + | 0.281049i | ||||
\(101\) | 12.2793 | − | 21.2684i | 0.121577 | − | 0.210578i | −0.798813 | − | 0.601580i | \(-0.794538\pi\) |
0.920390 | + | 0.391002i | \(0.127871\pi\) | |||||||
\(102\) | 50.4142 | − | 30.8779i | 0.494256 | − | 0.302724i | ||||
\(103\) | 51.5949 | − | 192.555i | 0.500922 | − | 1.86947i | 0.00697128 | − | 0.999976i | \(-0.497781\pi\) |
0.493951 | − | 0.869490i | \(-0.335552\pi\) | |||||||
\(104\) | 165.205i | 1.58851i | ||||||||
\(105\) | −31.3404 | − | 100.214i | −0.298480 | − | 0.954416i | ||||
\(106\) | 22.4161 | 0.211473 | ||||||||
\(107\) | −112.219 | − | 30.0690i | −1.04878 | − | 0.281019i | −0.307031 | − | 0.951700i | \(-0.599335\pi\) |
−0.741746 | + | 0.670681i | \(0.766002\pi\) | |||||||
\(108\) | 16.5081 | − | 34.5485i | 0.152853 | − | 0.319894i | ||||
\(109\) | 120.456 | + | 69.5451i | 1.10510 | + | 0.638028i | 0.937555 | − | 0.347837i | \(-0.113084\pi\) |
0.167542 | + | 0.985865i | \(0.446417\pi\) | |||||||
\(110\) | −110.224 | − | 7.28170i | −1.00204 | − | 0.0661972i | ||||
\(111\) | −36.3578 | − | 122.846i | −0.327547 | − | 1.10672i | ||||
\(112\) | 52.6125 | + | 24.9157i | 0.469754 | + | 0.222462i | ||||
\(113\) | −159.072 | − | 159.072i | −1.40772 | − | 1.40772i | −0.771560 | − | 0.636157i | \(-0.780523\pi\) |
−0.636157 | − | 0.771560i | \(-0.719477\pi\) | |||||||
\(114\) | 2.88378 | + | 2.73787i | 0.0252964 | + | 0.0240164i | ||||
\(115\) | 12.4284 | + | 25.2352i | 0.108073 | + | 0.219437i | ||||
\(116\) | 5.63698 | + | 3.25451i | 0.0485947 | + | 0.0280561i | ||||
\(117\) | 162.450 | − | 52.7006i | 1.38846 | − | 0.450433i | ||||
\(118\) | −55.6109 | − | 55.6109i | −0.471279 | − | 0.471279i | ||||
\(119\) | −55.5731 | + | 65.4349i | −0.467001 | + | 0.549873i | ||||
\(120\) | −115.615 | + | 60.7179i | −0.963461 | + | 0.505983i | ||||
\(121\) | 34.0241 | + | 58.9314i | 0.281191 | + | 0.487036i | ||||
\(122\) | 20.4665 | − | 5.48397i | 0.167758 | − | 0.0449506i | ||||
\(123\) | −174.195 | + | 106.692i | −1.41622 | + | 0.867411i | ||||
\(124\) | −3.87300 | − | 6.70824i | −0.0312339 | − | 0.0540987i | ||||
\(125\) | −69.2850 | − | 104.041i | −0.554280 | − | 0.832330i | ||||
\(126\) | 12.9805 | − | 100.394i | 0.103020 | − | 0.796775i | ||||
\(127\) | −42.9191 | − | 42.9191i | −0.337946 | − | 0.337946i | 0.517648 | − | 0.855594i | \(-0.326808\pi\) |
−0.855594 | + | 0.517648i | \(0.826808\pi\) | |||||||
\(128\) | 5.95697 | − | 22.2317i | 0.0465388 | − | 0.173685i | ||||
\(129\) | 24.1240 | − | 100.382i | 0.187008 | − | 0.778154i | ||||
\(130\) | −144.339 | − | 49.0798i | −1.11030 | − | 0.377537i | ||||
\(131\) | −35.8112 | − | 62.0268i | −0.273368 | − | 0.473487i | 0.696354 | − | 0.717698i | \(-0.254804\pi\) |
−0.969722 | + | 0.244211i | \(0.921471\pi\) | |||||||
\(132\) | 51.4011 | + | 27.9238i | 0.389402 | + | 0.211544i | ||||
\(133\) | −5.21877 | − | 2.47145i | −0.0392389 | − | 0.0185824i | ||||
\(134\) | −42.2314 | −0.315159 | ||||||||
\(135\) | 96.5869 | + | 94.3184i | 0.715459 | + | 0.698655i | ||||
\(136\) | 92.4667 | + | 53.3857i | 0.679902 | + | 0.392542i | ||||
\(137\) | 41.0292 | + | 153.123i | 0.299483 | + | 1.11769i | 0.937591 | + | 0.347739i | \(0.113050\pi\) |
−0.638108 | + | 0.769947i | \(0.720283\pi\) | |||||||
\(138\) | 0.703667 | + | 27.1105i | 0.00509904 | + | 0.196453i | ||||
\(139\) | 154.872 | 1.11419 | 0.557094 | − | 0.830449i | \(-0.311916\pi\) | ||||
0.557094 | + | 0.830449i | \(0.311916\pi\) | |||||||
\(140\) | 34.5544 | − | 35.6319i | 0.246817 | − | 0.254514i | ||||
\(141\) | 21.2286 | + | 71.7273i | 0.150558 | + | 0.508704i | ||||
\(142\) | 46.4832 | − | 173.478i | 0.327346 | − | 1.22167i | ||||
\(143\) | 67.5289 | + | 252.021i | 0.472230 | + | 1.76239i | ||||
\(144\) | −74.7458 | + | 3.88275i | −0.519068 | + | 0.0269635i | ||||
\(145\) | −17.2618 | + | 15.1225i | −0.119047 | + | 0.104293i | ||||
\(146\) | −8.34900 | −0.0571849 | ||||||||
\(147\) | 27.5579 | + | 144.394i | 0.187469 | + | 0.982271i | ||||
\(148\) | 42.8230 | − | 42.8230i | 0.289345 | − | 0.289345i | ||||
\(149\) | −72.9664 | − | 126.382i | −0.489707 | − | 0.848198i | 0.510222 | − | 0.860042i | \(-0.329563\pi\) |
−0.999930 | + | 0.0118444i | \(0.996230\pi\) | |||||||
\(150\) | −18.7016 | − | 119.051i | −0.124677 | − | 0.793675i | ||||
\(151\) | −31.3203 | + | 54.2483i | −0.207419 | + | 0.359260i | −0.950901 | − | 0.309496i | \(-0.899840\pi\) |
0.743482 | + | 0.668756i | \(0.233173\pi\) | |||||||
\(152\) | −1.85875 | + | 6.93695i | −0.0122286 | + | 0.0456378i | ||||
\(153\) | 22.9985 | − | 107.955i | 0.150317 | − | 0.705588i | ||||
\(154\) | 152.138 | + | 27.7602i | 0.987910 | + | 0.180261i | ||||
\(155\) | 26.7883 | − | 5.31413i | 0.172828 | − | 0.0342847i | ||||
\(156\) | 58.5486 | + | 55.5861i | 0.375311 | + | 0.356321i | ||||
\(157\) | −15.4580 | − | 57.6901i | −0.0984587 | − | 0.367453i | 0.899062 | − | 0.437820i | \(-0.144249\pi\) |
−0.997521 | + | 0.0703676i | \(0.977583\pi\) | |||||||
\(158\) | 89.4505 | − | 23.9682i | 0.566143 | − | 0.151697i | ||||
\(159\) | 28.8160 | − | 30.3517i | 0.181232 | − | 0.190891i | ||||
\(160\) | −89.1904 | − | 59.6619i | −0.557440 | − | 0.372887i | ||||
\(161\) | −13.2489 | − | 37.0861i | −0.0822915 | − | 0.230349i | ||||
\(162\) | 46.5304 | + | 121.550i | 0.287225 | + | 0.750310i | ||||
\(163\) | −266.381 | − | 71.3765i | −1.63424 | − | 0.437893i | −0.679098 | − | 0.734048i | \(-0.737629\pi\) |
−0.955140 | + | 0.296155i | \(0.904296\pi\) | |||||||
\(164\) | −83.6254 | − | 48.2812i | −0.509911 | − | 0.294397i | ||||
\(165\) | −151.553 | + | 139.884i | −0.918502 | + | 0.847783i | ||||
\(166\) | −207.246 | + | 119.654i | −1.24847 | + | 0.720806i | ||||
\(167\) | 14.7856 | + | 14.7856i | 0.0885368 | + | 0.0885368i | 0.749988 | − | 0.661451i | \(-0.230059\pi\) |
−0.661451 | + | 0.749988i | \(0.730059\pi\) | |||||||
\(168\) | 170.514 | − | 65.9533i | 1.01497 | − | 0.392579i | ||||
\(169\) | 191.092i | 1.13072i | ||||||||
\(170\) | −74.1133 | + | 64.9279i | −0.435961 | + | 0.381929i | ||||
\(171\) | 7.41422 | − | 0.385140i | 0.0433580 | − | 0.00225228i | ||||
\(172\) | 47.1402 | − | 12.6312i | 0.274071 | − | 0.0734371i | ||||
\(173\) | 224.909 | + | 60.2642i | 1.30005 | + | 0.348348i | 0.841470 | − | 0.540304i | \(-0.181691\pi\) |
0.458582 | + | 0.888652i | \(0.348357\pi\) | |||||||
\(174\) | −21.2153 | + | 6.27894i | −0.121927 | + | 0.0360859i | ||||
\(175\) | 79.7201 | + | 155.787i | 0.455544 | + | 0.890214i | ||||
\(176\) | − | 114.345i | − | 0.649685i | ||||||
\(177\) | −146.786 | + | 3.80990i | −0.829298 | + | 0.0215249i | ||||
\(178\) | 111.541 | − | 29.8872i | 0.626633 | − | 0.167906i | ||||
\(179\) | 86.7280 | − | 150.217i | 0.484514 | − | 0.839202i | −0.515328 | − | 0.856993i | \(-0.672330\pi\) |
0.999842 | + | 0.0177906i | \(0.00566322\pi\) | |||||||
\(180\) | −17.3824 | + | 61.4036i | −0.0965690 | + | 0.341131i | ||||
\(181\) | − | 60.2204i | − | 0.332709i | −0.986066 | − | 0.166355i | \(-0.946800\pi\) | ||
0.986066 | − | 0.166355i | \(-0.0531997\pi\) | |||||||
\(182\) | 192.900 | + | 91.3518i | 1.05989 | + | 0.501933i | ||||
\(183\) | 18.8843 | − | 34.7615i | 0.103193 | − | 0.189953i | ||||
\(184\) | −42.4173 | + | 24.4897i | −0.230529 | + | 0.133096i | ||||
\(185\) | 94.3392 | + | 191.551i | 0.509942 | + | 1.03541i | ||||
\(186\) | 25.6007 | + | 6.15241i | 0.137638 | + | 0.0330775i | ||||
\(187\) | 162.880 | + | 43.6436i | 0.871017 | + | 0.233388i | ||||
\(188\) | −25.0036 | + | 25.0036i | −0.132998 | + | 0.132998i | ||||
\(189\) | −119.248 | − | 146.632i | −0.630941 | − | 0.775831i | ||||
\(190\) | −5.50859 | − | 3.68484i | −0.0289926 | − | 0.0193939i | ||||
\(191\) | 90.3163 | − | 52.1441i | 0.472860 | − | 0.273006i | −0.244576 | − | 0.969630i | \(-0.578649\pi\) |
0.717436 | + | 0.696624i | \(0.245315\pi\) | |||||||
\(192\) | −106.157 | − | 173.321i | −0.552899 | − | 0.902716i | ||||
\(193\) | −52.7228 | − | 196.764i | −0.273175 | − | 1.01950i | −0.957054 | − | 0.289908i | \(-0.906375\pi\) |
0.683879 | − | 0.729595i | \(-0.260292\pi\) | |||||||
\(194\) | 176.134 | − | 101.691i | 0.907910 | − | 0.524182i | ||||
\(195\) | −252.003 | + | 132.345i | −1.29232 | + | 0.678692i | ||||
\(196\) | −53.7594 | + | 44.0303i | −0.274283 | + | 0.224644i | ||||
\(197\) | 189.124 | − | 189.124i | 0.960018 | − | 0.960018i | −0.0392131 | − | 0.999231i | \(-0.512485\pi\) |
0.999231 | + | 0.0392131i | \(0.0124851\pi\) | |||||||
\(198\) | −189.132 | + | 61.3566i | −0.955214 | + | 0.309882i | ||||
\(199\) | −49.7166 | + | 86.1117i | −0.249832 | + | 0.432722i | −0.963479 | − | 0.267783i | \(-0.913709\pi\) |
0.713647 | + | 0.700506i | \(0.247042\pi\) | |||||||
\(200\) | 172.809 | − | 132.318i | 0.864047 | − | 0.661588i | ||||
\(201\) | −54.2885 | + | 57.1818i | −0.270092 | + | 0.284486i | ||||
\(202\) | −27.9032 | + | 27.9032i | −0.138135 | + | 0.138135i | ||||
\(203\) | 26.4275 | − | 18.2714i | 0.130184 | − | 0.0900068i | ||||
\(204\) | 50.0319 | − | 14.8076i | 0.245254 | − | 0.0725862i | ||||
\(205\) | 256.082 | − | 224.344i | 1.24918 | − | 1.09436i | ||||
\(206\) | −160.157 | + | 277.401i | −0.777463 | + | 1.34661i | ||||
\(207\) | 37.6125 | + | 33.8978i | 0.181703 | + | 0.163757i | ||||
\(208\) | 40.8444 | − | 152.433i | 0.196367 | − | 0.732853i | ||||
\(209\) | 11.3421i | 0.0542685i | ||||||||
\(210\) | 6.96605 | + | 168.572i | 0.0331717 | + | 0.802722i | ||||
\(211\) | 3.16077 | 0.0149799 | 0.00748997 | − | 0.999972i | \(-0.497616\pi\) | ||||
0.00748997 | + | 0.999972i | \(0.497616\pi\) | |||||||
\(212\) | 19.1099 | + | 5.12049i | 0.0901411 | + | 0.0241532i | ||||
\(213\) | −175.137 | − | 285.945i | −0.822237 | − | 1.34246i | ||||
\(214\) | 161.666 | + | 93.3381i | 0.755450 | + | 0.436159i | ||||
\(215\) | −11.3425 | + | 171.692i | −0.0527556 | + | 0.798569i | ||||
\(216\) | −152.783 | + | 178.636i | −0.707330 | + | 0.827019i | ||||
\(217\) | −38.1081 | + | 3.10571i | −0.175613 | + | 0.0143120i | ||||
\(218\) | −158.033 | − | 158.033i | −0.724921 | − | 0.724921i | ||||
\(219\) | −10.7327 | + | 11.3046i | −0.0490076 | + | 0.0516194i | ||||
\(220\) | −92.3036 | − | 31.3861i | −0.419562 | − | 0.142664i | ||||
\(221\) | 201.547 | + | 116.363i | 0.911977 | + | 0.526530i | ||||
\(222\) | 5.34125 | + | 205.785i | 0.0240597 | + | 0.926957i | ||||
\(223\) | 90.0928 | + | 90.0928i | 0.404004 | + | 0.404004i | 0.879641 | − | 0.475638i | \(-0.157783\pi\) |
−0.475638 | + | 0.879641i | \(0.657783\pi\) | |||||||
\(224\) | 114.505 | + | 97.2474i | 0.511181 | + | 0.434140i | ||||
\(225\) | −185.238 | − | 127.718i | −0.823279 | − | 0.567637i | ||||
\(226\) | 180.736 | + | 313.044i | 0.799717 | + | 1.38515i | ||||
\(227\) | 142.497 | − | 38.1818i | 0.627738 | − | 0.168202i | 0.0690950 | − | 0.997610i | \(-0.477989\pi\) |
0.558643 | + | 0.829408i | \(0.311322\pi\) | |||||||
\(228\) | 1.83304 | + | 2.99280i | 0.00803965 | + | 0.0131263i | ||||
\(229\) | 44.3417 | + | 76.8022i | 0.193632 | + | 0.335381i | 0.946451 | − | 0.322847i | \(-0.104640\pi\) |
−0.752819 | + | 0.658227i | \(0.771307\pi\) | |||||||
\(230\) | −8.79503 | − | 44.3354i | −0.0382393 | − | 0.192763i | ||||
\(231\) | 233.162 | − | 170.311i | 1.00936 | − | 0.737277i | ||||
\(232\) | −28.2551 | − | 28.2551i | −0.121789 | − | 0.121789i | ||||
\(233\) | −37.2542 | + | 139.034i | −0.159889 | + | 0.596714i | 0.838748 | + | 0.544520i | \(0.183288\pi\) |
−0.998637 | + | 0.0521942i | \(0.983379\pi\) | |||||||
\(234\) | −274.050 | + | 14.2358i | −1.17116 | + | 0.0608369i | ||||
\(235\) | −55.0829 | − | 111.843i | −0.234395 | − | 0.475927i | ||||
\(236\) | −34.7056 | − | 60.1119i | −0.147058 | − | 0.254711i | ||||
\(237\) | 82.5356 | − | 151.928i | 0.348252 | − | 0.641048i | ||||
\(238\) | 113.466 | − | 78.4477i | 0.476746 | − | 0.329612i | ||||
\(239\) | −3.88680 | −0.0162628 | −0.00813138 | − | 0.999967i | \(-0.502588\pi\) | ||||
−0.00813138 | + | 0.999967i | \(0.502588\pi\) | |||||||
\(240\) | 121.689 | − | 27.4398i | 0.507037 | − | 0.114333i | ||||
\(241\) | −158.142 | − | 91.3034i | −0.656191 | − | 0.378852i | 0.134633 | − | 0.990896i | \(-0.457014\pi\) |
−0.790824 | + | 0.612043i | \(0.790348\pi\) | |||||||
\(242\) | −28.2995 | − | 105.615i | −0.116940 | − | 0.436426i | ||||
\(243\) | 224.396 | + | 93.2504i | 0.923438 | + | 0.383747i | ||||
\(244\) | 18.7005 | 0.0766415 | ||||||||
\(245\) | −85.9557 | − | 229.427i | −0.350840 | − | 0.936436i | ||||
\(246\) | 314.732 | − | 93.1490i | 1.27940 | − | 0.378655i | ||||
\(247\) | −4.05146 | + | 15.1203i | −0.0164027 | + | 0.0612156i | ||||
\(248\) | 12.3075 | + | 45.9322i | 0.0496270 | + | 0.185210i | ||||
\(249\) | −104.403 | + | 434.429i | −0.419289 | + | 1.74470i | ||||
\(250\) | 64.2667 | + | 190.293i | 0.257067 | + | 0.761170i | ||||
\(251\) | −391.380 | −1.55928 | −0.779641 | − | 0.626227i | \(-0.784598\pi\) | ||||
−0.779641 | + | 0.626227i | \(0.784598\pi\) | |||||||
\(252\) | 33.9988 | − | 82.6213i | 0.134916 | − | 0.327862i | ||||
\(253\) | −54.6975 | + | 54.6975i | −0.216196 | + | 0.216196i | ||||
\(254\) | 48.7642 | + | 84.4621i | 0.191985 | + | 0.332528i | ||||
\(255\) | −7.35968 | + | 183.815i | −0.0288615 | + | 0.720844i | ||||
\(256\) | 117.007 | − | 202.662i | 0.457059 | − | 0.791649i | ||||
\(257\) | −47.0043 | + | 175.422i | −0.182896 | + | 0.682577i | 0.812175 | + | 0.583414i | \(0.198283\pi\) |
−0.995071 | + | 0.0991636i | \(0.968383\pi\) | |||||||
\(258\) | −79.1883 | + | 145.767i | −0.306931 | + | 0.564987i | ||||
\(259\) | −100.567 | − | 281.506i | −0.388291 | − | 1.08690i | ||||
\(260\) | −111.839 | − | 74.8122i | −0.430151 | − | 0.287739i | ||||
\(261\) | −18.7705 | + | 36.7974i | −0.0719178 | + | 0.140986i | ||||
\(262\) | 29.7859 | + | 111.163i | 0.113687 | + | 0.424285i | ||||
\(263\) | −60.8881 | + | 16.3149i | −0.231514 | + | 0.0620339i | −0.372711 | − | 0.927948i | \(-0.621572\pi\) |
0.141197 | + | 0.989982i | \(0.454905\pi\) | |||||||
\(264\) | −260.430 | − | 247.253i | −0.986478 | − | 0.936564i | ||||
\(265\) | −38.7828 | + | 57.9776i | −0.146350 | + | 0.218784i | ||||
\(266\) | 7.07205 | + | 6.00621i | 0.0265866 | + | 0.0225797i | ||||
\(267\) | 102.918 | − | 189.448i | 0.385461 | − | 0.709541i | ||||
\(268\) | −36.0026 | − | 9.64686i | −0.134338 | − | 0.0359958i | ||||
\(269\) | 71.9710 | + | 41.5525i | 0.267550 | + | 0.154470i | 0.627774 | − | 0.778396i | \(-0.283966\pi\) |
−0.360224 | + | 0.932866i | \(0.617300\pi\) | |||||||
\(270\) | −110.685 | − | 186.556i | −0.409943 | − | 0.690949i | ||||
\(271\) | −308.322 | + | 178.010i | −1.13772 | + | 0.656862i | −0.945865 | − | 0.324561i | \(-0.894783\pi\) |
−0.191854 | + | 0.981423i | \(0.561450\pi\) | |||||||
\(272\) | −72.1195 | − | 72.1195i | −0.265145 | − | 0.265145i | ||||
\(273\) | 371.665 | − | 143.756i | 1.36141 | − | 0.526580i | ||||
\(274\) | − | 254.720i | − | 0.929634i | ||||||
\(275\) | 209.536 | − | 272.488i | 0.761948 | − | 0.990867i | ||||
\(276\) | −5.59293 | + | 23.2726i | −0.0202642 | + | 0.0843211i | ||||
\(277\) | −415.649 | + | 111.373i | −1.50054 | + | 0.402068i | −0.913281 | − | 0.407331i | \(-0.866460\pi\) |
−0.587259 | + | 0.809399i | \(0.699793\pi\) | |||||||
\(278\) | −240.372 | − | 64.4074i | −0.864646 | − | 0.231681i | ||||
\(279\) | 41.2402 | − | 26.7547i | 0.147814 | − | 0.0958950i | ||||
\(280\) | −261.516 | + | 156.387i | −0.933984 | + | 0.558525i | ||||
\(281\) | − | 332.132i | − | 1.18196i | −0.806685 | − | 0.590982i | \(-0.798740\pi\) | ||
0.806685 | − | 0.590982i | \(-0.201260\pi\) | |||||||
\(282\) | −3.11866 | − | 120.154i | −0.0110591 | − | 0.426077i | ||||
\(283\) | −307.249 | + | 82.3270i | −1.08568 | + | 0.290908i | −0.756923 | − | 0.653505i | \(-0.773298\pi\) |
−0.328762 | + | 0.944413i | \(0.606631\pi\) | |||||||
\(284\) | 79.2546 | − | 137.273i | 0.279065 | − | 0.483355i | ||||
\(285\) | −12.0706 | + | 2.72183i | −0.0423531 | + | 0.00955026i | ||||
\(286\) | − | 419.236i | − | 1.46586i | ||||||
\(287\) | −392.055 | + | 271.059i | −1.36605 | + | 0.944455i | ||||
\(288\) | −188.911 | − | 40.2451i | −0.655940 | − | 0.139740i | ||||
\(289\) | −120.022 | + | 69.2950i | −0.415303 | + | 0.239775i | ||||
\(290\) | 33.0805 | − | 16.2923i | 0.114071 | − | 0.0561802i | ||||
\(291\) | 88.7300 | − | 369.213i | 0.304914 | − | 1.26877i | ||||
\(292\) | −7.11759 | − | 1.90715i | −0.0243753 | − | 0.00653134i | ||||
\(293\) | −95.6683 | + | 95.6683i | −0.326513 | + | 0.326513i | −0.851259 | − | 0.524746i | \(-0.824160\pi\) |
0.524746 | + | 0.851259i | \(0.324160\pi\) | |||||||
\(294\) | 17.2780 | − | 235.569i | 0.0587686 | − | 0.801255i | ||||
\(295\) | 240.048 | − | 47.6195i | 0.813721 | − | 0.161422i | ||||
\(296\) | −321.973 | + | 185.891i | −1.08775 | + | 0.628010i | ||||
\(297\) | −160.053 | + | 334.962i | −0.538897 | + | 1.12782i | ||||
\(298\) | 60.6897 | + | 226.497i | 0.203657 | + | 0.760057i | ||||
\(299\) | −92.4557 | + | 53.3793i | −0.309216 | + | 0.178526i | ||||
\(300\) | 11.2515 | − | 105.764i | 0.0375048 | − | 0.352547i | ||||
\(301\) | 43.2412 | − | 236.981i | 0.143659 | − | 0.787311i | ||||
\(302\) | 71.1716 | − | 71.1716i | 0.235667 | − | 0.235667i | ||||
\(303\) | 1.91165 | + | 73.6509i | 0.00630908 | + | 0.243072i | ||||
\(304\) | 3.43011 | − | 5.94112i | 0.0112832 | − | 0.0195432i | ||||
\(305\) | −21.2257 | + | 62.4230i | −0.0695926 | + | 0.204666i | ||||
\(306\) | −80.5909 | + | 157.989i | −0.263369 | + | 0.516303i | ||||
\(307\) | −4.77318 | + | 4.77318i | −0.0155478 | + | 0.0155478i | −0.714838 | − | 0.699290i | \(-0.753500\pi\) |
0.699290 | + | 0.714838i | \(0.253500\pi\) | |||||||
\(308\) | 123.358 | + | 58.4186i | 0.400512 | + | 0.189671i | ||||
\(309\) | 169.721 | + | 573.454i | 0.549260 | + | 1.85584i | ||||
\(310\) | −43.7872 | − | 2.89270i | −0.141249 | − | 0.00933129i | ||||
\(311\) | 99.0019 | − | 171.476i | 0.318334 | − | 0.551371i | −0.661806 | − | 0.749675i | \(-0.730210\pi\) |
0.980141 | + | 0.198304i | \(0.0635433\pi\) | |||||||
\(312\) | −258.861 | − | 422.641i | −0.829683 | − | 1.35462i | ||||
\(313\) | 33.2288 | − | 124.012i | 0.106162 | − | 0.396203i | −0.892312 | − | 0.451419i | \(-0.850918\pi\) |
0.998474 | + | 0.0552157i | \(0.0175847\pi\) | |||||||
\(314\) | 95.9673i | 0.305628i | ||||||||
\(315\) | 237.203 | + | 207.267i | 0.753026 | + | 0.657991i | ||||
\(316\) | 81.7323 | 0.258647 | ||||||||
\(317\) | 262.552 | + | 70.3506i | 0.828239 | + | 0.221926i | 0.647945 | − | 0.761687i | \(-0.275628\pi\) |
0.180294 | + | 0.983613i | \(0.442295\pi\) | |||||||
\(318\) | −57.3467 | + | 35.1239i | −0.180336 | + | 0.110453i | ||||
\(319\) | −54.6527 | − | 31.5538i | −0.171325 | − | 0.0989146i | ||||
\(320\) | 223.219 | + | 254.798i | 0.697559 | + | 0.796244i | ||||
\(321\) | 334.203 | − | 98.9119i | 1.04113 | − | 0.308137i | ||||
\(322\) | 5.14003 | + | 63.0700i | 0.0159628 | + | 0.195869i | ||||
\(323\) | 7.15371 | + | 7.15371i | 0.0221477 | + | 0.0221477i | ||||
\(324\) | 11.9020 | + | 114.252i | 0.0367344 | + | 0.352628i | ||||
\(325\) | 376.667 | − | 288.409i | 1.15898 | − | 0.887411i | ||||
\(326\) | 383.756 | + | 221.562i | 1.17717 | + | 0.679638i | ||||
\(327\) | −417.130 | + | 10.8268i | −1.27563 | + | 0.0331096i | ||||
\(328\) | 419.168 | + | 419.168i | 1.27795 | + | 1.27795i | ||||
\(329\) | 58.7194 | + | 164.366i | 0.178478 | + | 0.499593i | ||||
\(330\) | 293.394 | − | 154.082i | 0.889072 | − | 0.466916i | ||||
\(331\) | 213.741 | + | 370.210i | 0.645742 | + | 1.11846i | 0.984130 | + | 0.177451i | \(0.0567852\pi\) |
−0.338388 | + | 0.941007i | \(0.609882\pi\) | |||||||
\(332\) | −204.012 | + | 54.6648i | −0.614493 | + | 0.164653i | ||||
\(333\) | 285.501 | + | 257.304i | 0.857360 | + | 0.772686i | ||||
\(334\) | −16.7993 | − | 29.0972i | −0.0502973 | − | 0.0871175i | ||||
\(335\) | 73.0658 | − | 109.228i | 0.218107 | − | 0.326055i | ||||
\(336\) | −173.638 | + | 18.6975i | −0.516780 | + | 0.0556472i | ||||
\(337\) | 85.4690 | + | 85.4690i | 0.253617 | + | 0.253617i | 0.822452 | − | 0.568835i | \(-0.192606\pi\) |
−0.568835 | + | 0.822452i | \(0.692606\pi\) | |||||||
\(338\) | 79.4704 | − | 296.588i | 0.235120 | − | 0.877479i | ||||
\(339\) | 656.202 | + | 157.700i | 1.93570 | + | 0.465191i | ||||
\(340\) | −78.0136 | + | 38.4219i | −0.229452 | + | 0.113006i | ||||
\(341\) | 37.5503 | + | 65.0390i | 0.110118 | + | 0.190730i | ||||
\(342\) | −11.6675 | − | 2.48562i | −0.0341156 | − | 0.00726790i | ||||
\(343\) | 82.8482 | + | 332.844i | 0.241540 | + | 0.970391i | ||||
\(344\) | −299.601 | −0.870933 | ||||||||
\(345\) | −71.3367 | − | 45.0847i | −0.206773 | − | 0.130680i | ||||
\(346\) | −324.011 | − | 187.068i | −0.936448 | − | 0.540658i | ||||
\(347\) | −49.9693 | − | 186.488i | −0.144004 | − | 0.537429i | −0.999798 | − | 0.0201125i | \(-0.993598\pi\) |
0.855794 | − | 0.517317i | \(-0.173069\pi\) | |||||||
\(348\) | −19.5205 | + | 0.506665i | −0.0560934 | + | 0.00145593i | ||||
\(349\) | −358.922 | −1.02843 | −0.514215 | − | 0.857661i | \(-0.671917\pi\) | ||||
−0.514215 | + | 0.857661i | \(0.671917\pi\) | |||||||
\(350\) | −58.9428 | − | 274.946i | −0.168408 | − | 0.785559i | ||||
\(351\) | −333.017 | + | 389.368i | −0.948766 | + | 1.10931i | ||||
\(352\) | 76.3720 | − | 285.024i | 0.216966 | − | 0.809728i | ||||
\(353\) | 71.5888 | + | 267.173i | 0.202801 | + | 0.756864i | 0.990109 | + | 0.140303i | \(0.0448078\pi\) |
−0.787307 | + | 0.616561i | \(0.788526\pi\) | |||||||
\(354\) | 229.405 | + | 55.1312i | 0.648038 | + | 0.155738i | ||||
\(355\) | 368.265 | + | 420.364i | 1.03737 | + | 1.18412i | ||||
\(356\) | 101.916 | 0.286282 | ||||||||
\(357\) | 39.6412 | − | 254.479i | 0.111040 | − | 0.712825i | ||||
\(358\) | −197.079 | + | 197.079i | −0.550500 | + | 0.550500i | ||||
\(359\) | −83.0240 | − | 143.802i | −0.231265 | − | 0.400562i | 0.726916 | − | 0.686726i | \(-0.240953\pi\) |
−0.958181 | + | 0.286164i | \(0.907620\pi\) | |||||||
\(360\) | 200.637 | − | 336.492i | 0.557326 | − | 0.934700i | ||||
\(361\) | 180.160 | − | 312.046i | 0.499058 | − | 0.864393i | ||||
\(362\) | −25.0441 | + | 93.4659i | −0.0691827 | + | 0.258193i | ||||
\(363\) | −179.383 | − | 97.4506i | −0.494168 | − | 0.268459i | ||||
\(364\) | 143.582 | + | 121.942i | 0.394455 | + | 0.335006i | ||||
\(365\) | 14.4449 | − | 21.5941i | 0.0395750 | − | 0.0591619i | ||||
\(366\) | −43.7661 | + | 46.0986i | −0.119579 | + | 0.125952i | ||||
\(367\) | −11.4496 | − | 42.7304i | −0.0311978 | − | 0.116432i | 0.948571 | − | 0.316564i | \(-0.102529\pi\) |
−0.979769 | + | 0.200133i | \(0.935863\pi\) | |||||||
\(368\) | 45.1928 | − | 12.1094i | 0.122806 | − | 0.0329059i | ||||
\(369\) | 278.464 | − | 545.894i | 0.754644 | − | 1.47939i | ||||
\(370\) | −66.7595 | − | 336.532i | −0.180431 | − | 0.909546i | ||||
\(371\) | 63.2150 | − | 74.4329i | 0.170391 | − | 0.200628i | ||||
\(372\) | 20.4194 | + | 11.0929i | 0.0548909 | + | 0.0298197i | ||||
\(373\) | 185.233 | + | 49.6331i | 0.496604 | + | 0.133065i | 0.498423 | − | 0.866934i | \(-0.333913\pi\) |
−0.00181972 | + | 0.999998i | \(0.500579\pi\) | |||||||
\(374\) | −234.650 | − | 135.475i | −0.627407 | − | 0.362234i | ||||
\(375\) | 340.274 | + | 157.604i | 0.907396 | + | 0.420277i | ||||
\(376\) | 187.994 | − | 108.538i | 0.499984 | − | 0.288666i | ||||
\(377\) | −61.5867 | − | 61.5867i | −0.163360 | − | 0.163360i | ||||
\(378\) | 124.100 | + | 277.174i | 0.328306 | + | 0.733266i | ||||
\(379\) | − | 449.389i | − | 1.18572i | −0.805304 | − | 0.592862i | \(-0.797998\pi\) | ||
0.805304 | − | 0.592862i | \(-0.202002\pi\) | |||||||
\(380\) | −3.85439 | − | 4.39968i | −0.0101431 | − | 0.0115781i | ||||
\(381\) | 177.049 | + | 42.5489i | 0.464696 | + | 0.111677i | ||||
\(382\) | −161.862 | + | 43.3708i | −0.423723 | + | 0.113536i | ||||
\(383\) | −199.845 | − | 53.5483i | −0.521789 | − | 0.139813i | −0.0116949 | − | 0.999932i | \(-0.503723\pi\) |
−0.510094 | + | 0.860119i | \(0.670389\pi\) | |||||||
\(384\) | 19.5954 | + | 66.2090i | 0.0510297 | + | 0.172419i | ||||
\(385\) | −335.019 | + | 345.465i | −0.870179 | + | 0.897313i | ||||
\(386\) | 327.317i | 0.847971i | ||||||||
\(387\) | 95.5731 | + | 294.605i | 0.246959 | + | 0.761254i | ||||
\(388\) | 173.385 | − | 46.4585i | 0.446869 | − | 0.119738i | ||||
\(389\) | −58.9146 | + | 102.043i | −0.151451 | + | 0.262322i | −0.931761 | − | 0.363072i | \(-0.881728\pi\) |
0.780310 | + | 0.625393i | \(0.215061\pi\) | |||||||
\(390\) | 446.164 | − | 100.606i | 1.14401 | − | 0.257965i | ||||
\(391\) | 68.9977i | 0.176465i | ||||||||
\(392\) | 388.741 | − | 175.673i | 0.991687 | − | 0.448145i | ||||
\(393\) | 188.805 | + | 102.569i | 0.480421 | + | 0.260991i | ||||
\(394\) | −372.183 | + | 214.880i | −0.944628 | + | 0.545381i | ||||
\(395\) | −92.7691 | + | 272.825i | −0.234858 | + | 0.690697i | ||||
\(396\) | −175.253 | + | 9.10368i | −0.442557 | + | 0.0229891i | ||||
\(397\) | 521.328 | + | 139.689i | 1.31317 | + | 0.351863i | 0.846415 | − | 0.532524i | \(-0.178756\pi\) |
0.466755 | + | 0.884387i | \(0.345423\pi\) | |||||||
\(398\) | 112.975 | − | 112.975i | 0.283857 | − | 0.283857i | ||||
\(399\) | 17.2236 | − | 1.85465i | 0.0431669 | − | 0.00464824i | ||||
\(400\) | −192.163 | + | 79.3640i | −0.480408 | + | 0.198410i | ||||
\(401\) | −320.784 | + | 185.205i | −0.799961 | + | 0.461857i | −0.843457 | − | 0.537196i | \(-0.819483\pi\) |
0.0434968 | + | 0.999054i | \(0.486150\pi\) | |||||||
\(402\) | 108.040 | − | 66.1726i | 0.268755 | − | 0.164608i | ||||
\(403\) | 26.8263 | + | 100.117i | 0.0665664 | + | 0.248429i | ||||
\(404\) | −30.1616 | + | 17.4138i | −0.0746575 | + | 0.0431035i | ||||
\(405\) | −394.885 | − | 89.9503i | −0.975024 | − | 0.222100i | ||||
\(406\) | −48.6157 | + | 17.3678i | −0.119743 | + | 0.0427779i | ||||
\(407\) | −415.186 | + | 415.186i | −1.02011 | + | 1.02011i | ||||
\(408\) | −320.206 | + | 8.31113i | −0.784819 | + | 0.0203704i | ||||
\(409\) | 4.27703 | − | 7.40803i | 0.0104573 | − | 0.0181125i | −0.860749 | − | 0.509029i | \(-0.830005\pi\) |
0.871207 | + | 0.490916i | \(0.163338\pi\) | |||||||
\(410\) | −490.755 | + | 241.698i | −1.19696 | + | 0.589508i | ||||
\(411\) | −344.893 | − | 327.443i | −0.839157 | − | 0.796697i | ||||
\(412\) | −199.902 | + | 199.902i | −0.485199 | + | 0.485199i | ||||
\(413\) | −341.483 | + | 27.8299i | −0.826836 | + | 0.0673849i | ||||
\(414\) | −44.2797 | − | 68.2536i | −0.106956 | − | 0.164864i | ||||
\(415\) | 49.0875 | − | 743.045i | 0.118283 | − | 1.79047i | ||||
\(416\) | 203.624 | − | 352.687i | 0.489481 | − | 0.847806i | ||||
\(417\) | −396.207 | + | 242.670i | −0.950136 | + | 0.581943i | ||||
\(418\) | 4.71690 | − | 17.6037i | 0.0112844 | − | 0.0421141i | ||||
\(419\) | − | 335.999i | − | 0.801907i | −0.916098 | − | 0.400953i | \(-0.868679\pi\) | ||
0.916098 | − | 0.400953i | \(-0.131321\pi\) | |||||||
\(420\) | −32.5680 | + | 145.300i | −0.0775429 | + | 0.345952i | ||||
\(421\) | 549.339 | 1.30484 | 0.652421 | − | 0.757857i | \(-0.273753\pi\) | ||||
0.652421 | + | 0.757857i | \(0.273753\pi\) | |||||||
\(422\) | −4.90571 | − | 1.31448i | −0.0116249 | − | 0.00311489i | ||||
\(423\) | −166.699 | − | 150.235i | −0.394087 | − | 0.355166i | ||||
\(424\) | −105.182 | − | 60.7269i | −0.248071 | − | 0.143224i | ||||
\(425\) | −39.7056 | − | 304.023i | −0.0934249 | − | 0.715347i | ||||
\(426\) | 152.906 | + | 516.639i | 0.358935 | + | 1.21277i | ||||
\(427\) | 39.5073 | − | 83.4243i | 0.0925229 | − | 0.195373i | ||||
\(428\) | 116.501 | + | 116.501i | 0.272198 | + | 0.272198i | ||||
\(429\) | −567.651 | − | 538.930i | −1.32320 | − | 1.25625i | ||||
\(430\) | 89.0067 | − | 261.761i | 0.206992 | − | 0.608746i | ||||
\(431\) | −120.977 | − | 69.8461i | −0.280689 | − | 0.162056i | 0.353046 | − | 0.935606i | \(-0.385146\pi\) |
−0.633735 | + | 0.773550i | \(0.718479\pi\) | |||||||
\(432\) | 185.137 | − | 127.053i | 0.428557 | − | 0.294104i | ||||
\(433\) | 60.9485 | + | 60.9485i | 0.140759 | + | 0.140759i | 0.773975 | − | 0.633216i | \(-0.218266\pi\) |
−0.633216 | + | 0.773975i | \(0.718266\pi\) | |||||||
\(434\) | 60.4378 | + | 11.0279i | 0.139258 | + | 0.0254100i | ||||
\(435\) | 20.4652 | − | 65.7352i | 0.0470464 | − | 0.151115i | ||||
\(436\) | −98.6250 | − | 170.824i | −0.226204 | − | 0.391797i | ||||
\(437\) | −4.48279 | + | 1.20116i | −0.0102581 | + | 0.00274865i | ||||
\(438\) | 21.3591 | − | 13.0821i | 0.0487650 | − | 0.0298678i | ||||
\(439\) | −287.441 | − | 497.863i | −0.654764 | − | 1.13408i | −0.981953 | − | 0.189125i | \(-0.939435\pi\) |
0.327189 | − | 0.944959i | \(-0.393899\pi\) | |||||||
\(440\) | 497.472 | + | 332.773i | 1.13062 | + | 0.756301i | ||||
\(441\) | −296.753 | − | 326.219i | −0.672908 | − | 0.739726i | ||||
\(442\) | −264.421 | − | 264.421i | −0.598238 | − | 0.598238i | ||||
\(443\) | 122.654 | − | 457.750i | 0.276871 | − | 1.03330i | −0.677706 | − | 0.735333i | \(-0.737026\pi\) |
0.954577 | − | 0.297964i | \(-0.0963074\pi\) | |||||||
\(444\) | −42.4537 | + | 176.653i | −0.0956164 | + | 0.397867i | ||||
\(445\) | −115.679 | + | 340.201i | −0.259952 | + | 0.764496i | ||||
\(446\) | −102.363 | − | 177.297i | −0.229512 | − | 0.397527i | ||||
\(447\) | 384.697 | + | 208.988i | 0.860619 | + | 0.467534i | ||||
\(448\) | −269.699 | − | 390.089i | −0.602008 | − | 0.870735i | ||||
\(449\) | 104.385 | 0.232484 | 0.116242 | − | 0.993221i | \(-0.462915\pi\) | ||||
0.116242 | + | 0.993221i | \(0.462915\pi\) | |||||||
\(450\) | 234.386 | + | 275.263i | 0.520858 | + | 0.611695i | ||||
\(451\) | 810.782 | + | 468.105i | 1.79774 | + | 1.03793i | ||||
\(452\) | 82.5706 | + | 308.158i | 0.182678 | + | 0.681765i | ||||
\(453\) | −4.87597 | − | 187.858i | −0.0107637 | − | 0.414698i | ||||
\(454\) | −237.043 | −0.522120 | ||||||||
\(455\) | −570.017 | + | 340.872i | −1.25279 | + | 0.749169i | ||||
\(456\) | −6.11435 | − | 20.6592i | −0.0134087 | − | 0.0453052i | ||||
\(457\) | 90.6211 | − | 338.203i | 0.198296 | − | 0.740050i | −0.793093 | − | 0.609100i | \(-0.791531\pi\) |
0.991389 | − | 0.130950i | \(-0.0418026\pi\) | |||||||
\(458\) | −36.8812 | − | 137.642i | −0.0805266 | − | 0.300529i | ||||
\(459\) | 110.319 | + | 312.216i | 0.240346 | + | 0.680209i | ||||
\(460\) | 2.62965 | − | 39.8053i | 0.00571662 | − | 0.0865333i | ||||
\(461\) | 49.3588 | 0.107069 | 0.0535345 | − | 0.998566i | \(-0.482951\pi\) | ||||
0.0535345 | + | 0.998566i | \(0.482951\pi\) | |||||||
\(462\) | −432.710 | + | 167.368i | −0.936601 | + | 0.362268i | ||||
\(463\) | −429.745 | + | 429.745i | −0.928175 | + | 0.928175i | −0.997588 | − | 0.0694132i | \(-0.977887\pi\) |
0.0694132 | + | 0.997588i | \(0.477887\pi\) | |||||||
\(464\) | 19.0851 | + | 33.0564i | 0.0411317 | + | 0.0712421i | ||||
\(465\) | −60.2053 | + | 55.5698i | −0.129474 | + | 0.119505i | ||||
\(466\) | 115.642 | − | 200.297i | 0.248158 | − | 0.429822i | ||||
\(467\) | 209.563 | − | 782.100i | 0.448743 | − | 1.67473i | −0.257116 | − | 0.966380i | \(-0.582772\pi\) |
0.705860 | − | 0.708352i | \(-0.250561\pi\) | |||||||
\(468\) | −236.882 | − | 50.4648i | −0.506158 | − | 0.107831i | ||||
\(469\) | −119.095 | + | 140.230i | −0.253935 | + | 0.298997i | ||||
\(470\) | 38.9796 | + | 196.495i | 0.0829354 | + | 0.418074i | ||||
\(471\) | 129.941 | + | 123.366i | 0.275883 | + | 0.261924i | ||||
\(472\) | 110.286 | + | 411.594i | 0.233657 | + | 0.872022i | ||||
\(473\) | −457.043 | + | 122.464i | −0.966264 | + | 0.258910i | ||||
\(474\) | −191.284 | + | 201.478i | −0.403552 | + | 0.425059i | ||||
\(475\) | 19.0612 | − | 7.87231i | 0.0401288 | − | 0.0165733i | ||||
\(476\) | 114.650 | − | 40.9585i | 0.240862 | − | 0.0860473i | ||||
\(477\) | −26.1611 | + | 122.800i | −0.0548450 | + | 0.257442i | ||||
\(478\) | 6.03257 | + | 1.61642i | 0.0126204 | + | 0.00338163i | ||||
\(479\) | −217.969 | − | 125.845i | −0.455051 | − | 0.262724i | 0.254910 | − | 0.966965i | \(-0.417954\pi\) |
−0.709961 | + | 0.704241i | \(0.751287\pi\) | |||||||
\(480\) | 321.659 | + | 12.8787i | 0.670123 | + | 0.0268307i | ||||
\(481\) | −701.794 | + | 405.181i | −1.45903 | + | 0.842372i | ||||
\(482\) | 207.476 | + | 207.476i | 0.430448 | + | 0.430448i | ||||
\(483\) | 92.0050 | + | 74.1169i | 0.190487 | + | 0.153451i | ||||
\(484\) | − | 96.5021i | − | 0.199385i | ||||||
\(485\) | −41.7185 | + | 631.498i | −0.0860174 | + | 1.30206i | ||||
\(486\) | −309.496 | − | 238.051i | −0.636823 | − | 0.489817i | ||||
\(487\) | 47.9846 | − | 12.8574i | 0.0985311 | − | 0.0264013i | −0.209217 | − | 0.977869i | \(-0.567091\pi\) |
0.307748 | + | 0.951468i | \(0.400425\pi\) | |||||||
\(488\) | −110.890 | − | 29.7129i | −0.227234 | − | 0.0608872i | ||||
\(489\) | 793.317 | − | 234.793i | 1.62233 | − | 0.480149i | ||||
\(490\) | 37.9961 | + | 391.832i | 0.0775431 | + | 0.799657i | ||||
\(491\) | 0.942475i | 0.00191950i | 1.00000 | 0.000959750i | \(0.000305498\pi\) | |||||
−1.00000 | 0.000959750i | \(0.999695\pi\) | ||||||||
\(492\) | 289.590 | − | 7.51645i | 0.588597 | − | 0.0152773i | ||||
\(493\) | −54.3722 | + | 14.5690i | −0.110289 | + | 0.0295517i | ||||
\(494\) | 12.5763 | − | 21.7827i | 0.0254580 | − | 0.0440945i | ||||
\(495\) | 168.529 | − | 595.332i | 0.340463 | − | 1.20269i | ||||
\(496\) | − | 45.4241i | − | 0.0915808i | ||||||
\(497\) | −444.948 | − | 643.567i | −0.895268 | − | 1.29490i | ||||
\(498\) | 342.708 | − | 630.844i | 0.688169 | − | 1.26675i | ||||
\(499\) | 324.659 | − | 187.442i | 0.650618 | − | 0.375635i | −0.138075 | − | 0.990422i | \(-0.544091\pi\) |
0.788693 | + | 0.614787i | \(0.210758\pi\) | |||||||
\(500\) | 11.3195 | + | 176.906i | 0.0226391 | + | 0.353813i | ||||
\(501\) | −60.9936 | − | 14.6581i | −0.121744 | − | 0.0292577i | ||||
\(502\) | 607.447 | + | 162.765i | 1.21005 | + | 0.324233i | ||||
\(503\) | 8.22946 | − | 8.22946i | 0.0163608 | − | 0.0163608i | −0.698879 | − | 0.715240i | \(-0.746317\pi\) |
0.715240 | + | 0.698879i | \(0.246317\pi\) | |||||||
\(504\) | −332.881 | + | 435.907i | −0.660479 | + | 0.864895i | ||||
\(505\) | −23.8934 | − | 120.446i | −0.0473137 | − | 0.238507i | ||||
\(506\) | 107.641 | − | 62.1467i | 0.212730 | − | 0.122820i | ||||
\(507\) | −299.424 | − | 488.868i | −0.590580 | − | 0.964237i | ||||
\(508\) | 22.2783 | + | 83.1438i | 0.0438550 | + | 0.163669i | ||||
\(509\) | −198.079 | + | 114.361i | −0.389153 | + | 0.224678i | −0.681793 | − | 0.731545i | \(-0.738800\pi\) |
0.292640 | + | 0.956223i | \(0.405466\pi\) | |||||||
\(510\) | 87.8668 | − | 282.233i | 0.172288 | − | 0.553397i | ||||
\(511\) | −23.5448 | + | 27.7230i | −0.0460759 | + | 0.0542524i | ||||
\(512\) | −330.984 | + | 330.984i | −0.646452 | + | 0.646452i | ||||
\(513\) | −18.3642 | + | 12.6027i | −0.0357976 | + | 0.0245667i | ||||
\(514\) | 145.907 | − | 252.719i | 0.283866 | − | 0.491671i | ||||
\(515\) | −440.384 | − | 894.175i | −0.855114 | − | 1.73626i | ||||
\(516\) | −100.806 | + | 106.178i | −0.195360 | + | 0.205772i | ||||
\(517\) | 242.420 | − | 242.420i | 0.468897 | − | 0.468897i | ||||
\(518\) | 39.0159 | + | 478.738i | 0.0753202 | + | 0.924206i | ||||
\(519\) | −669.809 | + | 198.239i | −1.29058 | + | 0.381963i | ||||
\(520\) | 544.315 | + | 621.320i | 1.04676 | + | 1.19485i | ||||
\(521\) | 214.530 | − | 371.577i | 0.411766 | − | 0.713200i | −0.583317 | − | 0.812245i | \(-0.698245\pi\) |
0.995083 | + | 0.0990449i | \(0.0315788\pi\) | |||||||
\(522\) | 44.4361 | − | 49.3057i | 0.0851267 | − | 0.0944553i | ||||
\(523\) | 127.982 | − | 477.637i | 0.244708 | − | 0.913263i | −0.728822 | − | 0.684704i | \(-0.759932\pi\) |
0.973530 | − | 0.228560i | \(-0.0734017\pi\) | |||||||
\(524\) | 101.571i | 0.193838i | ||||||||
\(525\) | −448.051 | − | 273.634i | −0.853430 | − | 0.521207i | ||||
\(526\) | 101.287 | 0.192561 | ||||||||
\(527\) | 64.7052 | + | 17.3377i | 0.122780 | + | 0.0328989i | ||||
\(528\) | 179.167 | + | 292.525i | 0.339332 | + | 0.554026i | ||||
\(529\) | 430.717 | + | 248.674i | 0.814209 | + | 0.470084i | ||||
\(530\) | 84.3048 | − | 73.8563i | 0.159066 | − | 0.139351i | ||||
\(531\) | 369.549 | − | 239.746i | 0.695950 | − | 0.451500i | ||||
\(532\) | 4.65699 | + | 6.73580i | 0.00875374 | + | 0.0126613i | ||||
\(533\) | 913.648 | + | 913.648i | 1.71416 | + | 1.71416i | ||||
\(534\) | −238.522 | + | 251.234i | −0.446670 | + | 0.470475i | ||||
\(535\) | −521.116 | + | 256.651i | −0.974049 | + | 0.479722i | ||||
\(536\) | 198.160 | + | 114.408i | 0.369702 | + | 0.213447i | ||||
\(537\) | 13.5019 | + | 520.193i | 0.0251432 | + | 0.968701i | ||||
\(538\) | −94.4230 | − | 94.4230i | −0.175507 | − | 0.175507i | ||||
\(539\) | 521.219 | − | 426.891i | 0.967011 | − | 0.792005i | ||||
\(540\) | −51.7446 | − | 184.324i | −0.0958234 | − | 0.341341i | ||||
\(541\) | −73.6465 | − | 127.559i | −0.136130 | − | 0.235785i | 0.789898 | − | 0.613238i | \(-0.210133\pi\) |
−0.926029 | + | 0.377453i | \(0.876800\pi\) | |||||||
\(542\) | 552.565 | − | 148.059i | 1.01949 | − | 0.273172i | ||||
\(543\) | 94.3598 | + | 154.061i | 0.173775 | + | 0.283721i | ||||
\(544\) | −131.601 | − | 227.940i | −0.241914 | − | 0.419008i | ||||
\(545\) | 682.158 | − | 135.323i | 1.25167 | − | 0.248299i | ||||
\(546\) | −636.633 | + | 68.5530i | −1.16599 | + | 0.125555i | ||||
\(547\) | −257.930 | − | 257.930i | −0.471536 | − | 0.471536i | 0.430876 | − | 0.902411i | \(-0.358205\pi\) |
−0.902411 | + | 0.430876i | \(0.858205\pi\) | |||||||
\(548\) | 58.1853 | − | 217.151i | 0.106178 | − | 0.396260i | ||||
\(549\) | 6.15663 | + | 118.520i | 0.0112143 | + | 0.215883i | ||||
\(550\) | −438.534 | + | 335.779i | −0.797334 | + | 0.610507i | ||||
\(551\) | −1.89310 | − | 3.27894i | −0.00343575 | − | 0.00595090i | ||||
\(552\) | 70.1424 | − | 129.115i | 0.127070 | − | 0.233905i | ||||
\(553\) | 172.670 | − | 364.614i | 0.312243 | − | 0.659337i | ||||
\(554\) | 691.432 | 1.24807 | ||||||||
\(555\) | −541.488 | − | 342.219i | −0.975654 | − | 0.616612i | ||||
\(556\) | −190.206 | − | 109.816i | −0.342098 | − | 0.197510i | ||||
\(557\) | 76.7257 | + | 286.344i | 0.137748 | + | 0.514083i | 0.999971 | + | 0.00755469i | \(0.00240476\pi\) |
−0.862223 | + | 0.506528i | \(0.830929\pi\) | |||||||
\(558\) | −75.1340 | + | 24.3743i | −0.134649 | + | 0.0436815i | ||||
\(559\) | −653.031 | −1.16821 | ||||||||
\(560\) | 279.962 | − | 79.6413i | 0.499933 | − | 0.142217i | ||||
\(561\) | −485.079 | + | 143.565i | −0.864668 | + | 0.255910i | ||||
\(562\) | −138.125 | + | 515.490i | −0.245774 | + | 0.917242i | ||||
\(563\) | −282.969 | − | 1056.05i | −0.502609 | − | 1.87576i | −0.482374 | − | 0.875965i | \(-0.660225\pi\) |
−0.0202346 | − | 0.999795i | \(-0.506441\pi\) | |||||||
\(564\) | 24.7879 | − | 103.144i | 0.0439502 | − | 0.182880i | ||||
\(565\) | −1122.36 | − | 74.1462i | −1.98648 | − | 0.131232i | ||||
\(566\) | 511.107 | 0.903017 | ||||||||
\(567\) | 534.828 | + | 188.276i | 0.943260 | + | 0.332056i | ||||
\(568\) | −688.074 | + | 688.074i | −1.21140 | + | 1.21140i | ||||
\(569\) | 450.488 | + | 780.269i | 0.791719 | + | 1.37130i | 0.924902 | + | 0.380207i | \(0.124147\pi\) |
−0.133182 | + | 0.991092i | \(0.542520\pi\) | |||||||
\(570\) | 19.8663 | + | 0.795417i | 0.0348532 | + | 0.00139547i | ||||
\(571\) | 179.277 | − | 310.518i | 0.313971 | − | 0.543814i | −0.665247 | − | 0.746623i | \(-0.731674\pi\) |
0.979218 | + | 0.202809i | \(0.0650072\pi\) | |||||||
\(572\) | 95.7657 | − | 357.403i | 0.167423 | − | 0.624830i | ||||
\(573\) | −149.349 | + | 274.916i | −0.260645 | + | 0.479784i | ||||
\(574\) | 721.221 | − | 257.655i | 1.25648 | − | 0.448876i | ||||
\(575\) | 129.887 | + | 53.9583i | 0.225890 | + | 0.0938405i | ||||
\(576\) | 543.157 | + | 277.067i | 0.942981 | + | 0.481020i | ||||
\(577\) | 120.578 | + | 450.004i | 0.208975 | + | 0.779904i | 0.988201 | + | 0.153161i | \(0.0489454\pi\) |
−0.779227 | + | 0.626742i | \(0.784388\pi\) | |||||||
\(578\) | 215.101 | − | 57.6360i | 0.372146 | − | 0.0997163i | ||||
\(579\) | 443.191 | + | 420.766i | 0.765442 | + | 0.726712i | ||||
\(580\) | 31.9230 | − | 6.33274i | 0.0550397 | − | 0.0109185i | ||||
\(581\) | −187.138 | + | 1025.60i | −0.322096 | + | 1.76523i | ||||
\(582\) | −291.261 | + | 536.141i | −0.500448 | + | 0.921205i | ||||
\(583\) | −185.278 | − | 49.6451i | −0.317801 | − | 0.0851546i | ||||
\(584\) | 39.1756 | + | 22.6180i | 0.0670815 | + | 0.0387295i | ||||
\(585\) | 437.323 | − | 733.441i | 0.747560 | − | 1.25375i | ||||
\(586\) | 188.269 | − | 108.697i | 0.321279 | − | 0.185490i | ||||
\(587\) | −359.155 | − | 359.155i | −0.611849 | − | 0.611849i | 0.331579 | − | 0.943428i | \(-0.392419\pi\) |
−0.943428 | + | 0.331579i | \(0.892419\pi\) | |||||||
\(588\) | 68.5404 | − | 196.878i | 0.116565 | − | 0.334826i | ||||
\(589\) | 4.50573i | 0.00764980i | ||||||||
\(590\) | −392.373 | − | 25.9212i | −0.665039 | − | 0.0439343i | ||||
\(591\) | −187.492 | + | 780.170i | −0.317246 | + | 1.32008i | ||||
\(592\) | 343.040 | − | 91.9173i | 0.579460 | − | 0.155266i | ||||
\(593\) | 828.950 | + | 222.116i | 1.39789 | + | 0.374564i | 0.877587 | − | 0.479417i | \(-0.159152\pi\) |
0.520305 | + | 0.853981i | \(0.325818\pi\) | |||||||
\(594\) | 387.714 | − | 453.320i | 0.652717 | − | 0.763165i | ||||
\(595\) | 6.58898 | + | 429.196i | 0.0110739 | + | 0.721337i | ||||
\(596\) | 206.954i | 0.347238i | ||||||||
\(597\) | −7.73993 | − | 298.199i | −0.0129647 | − | 0.499496i | ||||
\(598\) | 165.696 | − | 44.3982i | 0.277084 | − | 0.0742444i | ||||
\(599\) | 10.8388 | − | 18.7734i | 0.0180949 | − | 0.0313413i | −0.856836 | − | 0.515589i | \(-0.827573\pi\) |
0.874931 | + | 0.484248i | \(0.160907\pi\) | |||||||
\(600\) | −234.766 | + | 609.282i | −0.391276 | + | 1.01547i | ||||
\(601\) | 689.068i | 1.14654i | 0.819368 | + | 0.573268i | \(0.194325\pi\) | ||||
−0.819368 | + | 0.573268i | \(0.805675\pi\) | |||||||
\(602\) | −165.667 | + | 349.826i | −0.275195 | + | 0.581107i | ||||
\(603\) | 49.2868 | − | 231.352i | 0.0817359 | − | 0.383669i | ||||
\(604\) | 76.9320 | − | 44.4167i | 0.127371 | − | 0.0735376i | ||||
\(605\) | 322.127 | + | 109.533i | 0.532442 | + | 0.181047i | ||||
\(606\) | 27.6625 | − | 115.106i | 0.0456477 | − | 0.189944i | ||||
\(607\) | 149.753 | + | 40.1262i | 0.246710 | + | 0.0661058i | 0.380055 | − | 0.924964i | \(-0.375905\pi\) |
−0.133345 | + | 0.991070i | \(0.542572\pi\) | |||||||
\(608\) | 12.5183 | − | 12.5183i | 0.0205893 | − | 0.0205893i | ||||
\(609\) | −38.9793 | + | 88.1527i | −0.0640054 | + | 0.144750i | ||||
\(610\) | 58.9038 | − | 88.0572i | 0.0965637 | − | 0.144356i | ||||
\(611\) | 409.764 | − | 236.578i | 0.670645 | − | 0.387197i | ||||
\(612\) | −104.794 | + | 116.277i | −0.171231 | + | 0.189996i | ||||
\(613\) | −172.787 | − | 644.848i | −0.281870 | − | 1.05195i | −0.951096 | − | 0.308896i | \(-0.900041\pi\) |
0.669225 | − | 0.743059i | \(-0.266626\pi\) | |||||||
\(614\) | 9.39332 | − | 5.42324i | 0.0152986 | − | 0.00883264i | ||||
\(615\) | −303.604 | + | 975.191i | −0.493665 | + | 1.58568i | ||||
\(616\) | −638.666 | − | 542.411i | −1.03680 | − | 0.880538i | ||||
\(617\) | 433.982 | − | 433.982i | 0.703374 | − | 0.703374i | −0.261759 | − | 0.965133i | \(-0.584303\pi\) |
0.965133 | + | 0.261759i | \(0.0843026\pi\) | |||||||
\(618\) | −24.9334 | − | 960.621i | −0.0403454 | − | 1.55440i | ||||
\(619\) | −129.377 | + | 224.088i | −0.209010 | + | 0.362016i | −0.951403 | − | 0.307949i | \(-0.900357\pi\) |
0.742393 | + | 0.669965i | \(0.233691\pi\) | |||||||
\(620\) | −36.6682 | − | 12.4683i | −0.0591422 | − | 0.0201102i | ||||
\(621\) | −149.338 | − | 27.7849i | −0.240480 | − | 0.0447421i | ||||
\(622\) | −224.970 | + | 224.970i | −0.361688 | + | 0.361688i | ||||
\(623\) | 215.312 | − | 454.656i | 0.345605 | − | 0.729785i | ||||
\(624\) | 134.357 | + | 453.967i | 0.215316 | + | 0.727511i | ||||
\(625\) | −603.368 | − | 163.010i | −0.965389 | − | 0.260816i | ||||
\(626\) | −103.147 | + | 178.655i | −0.164771 | + | 0.285391i | ||||
\(627\) | −17.7721 | − | 29.0163i | −0.0283446 | − | 0.0462781i | ||||
\(628\) | −21.9217 | + | 81.8129i | −0.0349072 | + | 0.130275i | ||||
\(629\) | 523.733i | 0.832644i | ||||||||
\(630\) | −281.957 | − | 420.339i | −0.447551 | − | 0.667204i | ||||
\(631\) | 384.244 | 0.608945 | 0.304472 | − | 0.952521i | \(-0.401520\pi\) | ||||
0.304472 | + | 0.952521i | \(0.401520\pi\) | |||||||
\(632\) | −484.656 | − | 129.863i | −0.766861 | − | 0.205480i | ||||
\(633\) | −8.08613 | + | 4.95263i | −0.0127743 | + | 0.00782406i | ||||
\(634\) | −378.240 | − | 218.377i | −0.596594 | − | 0.344443i | ||||
\(635\) | −302.824 | − | 20.0053i | −0.476888 | − | 0.0315045i | ||||
\(636\) | −56.9119 | + | 16.8438i | −0.0894841 | + | 0.0264840i | ||||
\(637\) | 847.327 | − | 382.909i | 1.33018 | − | 0.601113i | ||||
\(638\) | 71.7021 | + | 71.7021i | 0.112386 | + | 0.112386i | ||||
\(639\) | 896.097 | + | 457.104i | 1.40234 | + | 0.715343i | ||||
\(640\) | −50.8451 | − | 103.238i | −0.0794455 | − | 0.161310i | ||||
\(641\) | −472.114 | − | 272.575i | −0.736528 | − | 0.425235i | 0.0842776 | − | 0.996442i | \(-0.473142\pi\) |
−0.820806 | + | 0.571208i | \(0.806475\pi\) | |||||||
\(642\) | −559.840 | + | 14.5310i | −0.872025 | + | 0.0226339i | ||||
\(643\) | 364.472 | + | 364.472i | 0.566830 | + | 0.566830i | 0.931239 | − | 0.364409i | \(-0.118729\pi\) |
−0.364409 | + | 0.931239i | \(0.618729\pi\) | |||||||
\(644\) | −10.0251 | + | 54.9418i | −0.0155669 | + | 0.0853133i | ||||
\(645\) | −240.009 | − | 457.010i | −0.372107 | − | 0.708543i | ||||
\(646\) | −8.12798 | − | 14.0781i | −0.0125820 | − | 0.0217927i | ||||
\(647\) | 193.092 | − | 51.7389i | 0.298442 | − | 0.0799673i | −0.106491 | − | 0.994314i | \(-0.533962\pi\) |
0.404933 | + | 0.914346i | \(0.367295\pi\) | |||||||
\(648\) | 110.956 | − | 696.399i | 0.171229 | − | 1.07469i | ||||
\(649\) | 336.485 | + | 582.808i | 0.518466 | + | 0.898010i | ||||
\(650\) | −704.554 | + | 290.983i | −1.08393 | + | 0.447665i | ||||
\(651\) | 92.6249 | − | 67.6571i | 0.142281 | − | 0.103928i | ||||
\(652\) | 276.544 | + | 276.544i | 0.424148 | + | 0.424148i | ||||
\(653\) | −126.545 | + | 472.271i | −0.193790 | + | 0.723233i | 0.798787 | + | 0.601614i | \(0.205475\pi\) |
−0.992577 | + | 0.121619i | \(0.961191\pi\) | |||||||
\(654\) | 651.915 | + | 156.670i | 0.996812 | + | 0.239556i | ||||
\(655\) | −339.048 | − | 115.287i | −0.517630 | − | 0.176010i | ||||
\(656\) | −283.130 | − | 490.396i | −0.431601 | − | 0.747555i | ||||
\(657\) | 9.74383 | − | 45.7375i | 0.0148308 | − | 0.0696157i | ||||
\(658\) | −22.7806 | − | 279.527i | −0.0346210 | − | 0.424812i | ||||
\(659\) | −594.519 | −0.902153 | −0.451076 | − | 0.892485i | \(-0.648960\pi\) | ||||
−0.451076 | + | 0.892485i | \(0.648960\pi\) | |||||||
\(660\) | 285.318 | − | 64.3367i | 0.432299 | − | 0.0974799i | ||||
\(661\) | −759.345 | − | 438.408i | −1.14878 | − | 0.663250i | −0.200192 | − | 0.979757i | \(-0.564157\pi\) |
−0.948590 | + | 0.316507i | \(0.897490\pi\) | |||||||
\(662\) | −177.778 | − | 663.478i | −0.268548 | − | 1.00223i | ||||
\(663\) | −697.944 | + | 18.1155i | −1.05271 | + | 0.0273235i | ||||
\(664\) | 1296.60 | 1.95272 | ||||||||
\(665\) | −27.7702 | + | 7.89982i | −0.0417597 | + | 0.0118794i | ||||
\(666\) | −336.110 | − | 518.086i | −0.504669 | − | 0.777906i | ||||
\(667\) | 6.68324 | − | 24.9422i | 0.0100199 | − | 0.0373946i | ||||
\(668\) | −7.67489 | − | 28.6431i | −0.0114894 | − | 0.0428789i | ||||
\(669\) | −371.650 | − | 89.3157i | −0.555530 | − | 0.133506i | ||||
\(670\) | −158.828 | + | 139.143i | −0.237057 | + | 0.207676i | ||||
\(671\) | −181.309 | −0.270207 | ||||||||
\(672\) | −445.313 | − | 69.3682i | −0.662668 | − | 0.103226i | ||||
\(673\) | 429.383 | − | 429.383i | 0.638014 | − | 0.638014i | −0.312051 | − | 0.950065i | \(-0.601016\pi\) |
0.950065 | + | 0.312051i | \(0.101016\pi\) | |||||||
\(674\) | −97.1090 | − | 168.198i | −0.144079 | − | 0.249551i | ||||
\(675\) | 674.013 | + | 36.4892i | 0.998538 | + | 0.0540581i | ||||
\(676\) | 135.498 | − | 234.690i | 0.200441 | − | 0.347175i | ||||
\(677\) | −335.245 | + | 1251.15i | −0.495191 | + | 1.84808i | 0.0337641 | + | 0.999430i | \(0.489251\pi\) |
−0.528955 | + | 0.848650i | \(0.677416\pi\) | |||||||
\(678\) | −952.884 | − | 517.658i | −1.40543 | − | 0.763507i | ||||
\(679\) | 159.045 | − | 871.633i | 0.234234 | − | 1.28370i | ||||
\(680\) | 523.653 | − | 103.880i | 0.770078 | − | 0.152764i | ||||
\(681\) | −304.719 | + | 320.959i | −0.447458 | + | 0.471305i | ||||
\(682\) | −31.2324 | − | 116.561i | −0.0457953 | − | 0.170910i | ||||
\(683\) | −386.723 | + | 103.622i | −0.566212 | + | 0.151716i | −0.530559 | − | 0.847648i | \(-0.678018\pi\) |
−0.0356530 | + | 0.999364i | \(0.511351\pi\) | |||||||
\(684\) | −9.37887 | − | 4.78421i | −0.0137118 | − | 0.00699446i | ||||
\(685\) | 658.814 | + | 440.698i | 0.961772 | + | 0.643355i | ||||
\(686\) | 9.83552 | − | 551.050i | 0.0143375 | − | 0.803280i | ||||
\(687\) | −233.780 | − | 127.002i | −0.340292 | − | 0.184865i | ||||
\(688\) | 276.439 | + | 74.0717i | 0.401801 | + | 0.107662i | ||||
\(689\) | −229.262 | − | 132.364i | −0.332746 | − | 0.192111i | ||||
\(690\) | 91.9696 | + | 99.6414i | 0.133289 | + | 0.144408i | ||||
\(691\) | 314.676 | − | 181.678i | 0.455392 | − | 0.262921i | −0.254712 | − | 0.967017i | \(-0.581981\pi\) |
0.710105 | + | 0.704096i | \(0.248647\pi\) | |||||||
\(692\) | −233.490 | − | 233.490i | −0.337414 | − | 0.337414i | ||||
\(693\) | −329.632 | + | 801.046i | −0.475659 | + | 1.15591i | ||||
\(694\) | 310.222i | 0.447006i | ||||||||
\(695\) | 582.459 | − | 510.271i | 0.838071 | − | 0.734203i | ||||
\(696\) | 116.558 | + | 28.0114i | 0.167468 | + | 0.0402462i | ||||
\(697\) | 806.620 | − | 216.133i | 1.15727 | − | 0.310091i | ||||
\(698\) | 557.070 | + | 149.267i | 0.798095 | + | 0.213849i | ||||
\(699\) | −122.547 | − | 414.063i | −0.175318 | − | 0.592365i | ||||
\(700\) | 12.5563 | − | 247.858i | 0.0179376 | − | 0.354082i | ||||
\(701\) | − | 424.564i | − | 0.605655i | −0.953045 | − | 0.302827i | \(-0.902069\pi\) | ||
0.953045 | − | 0.302827i | \(-0.0979305\pi\) | |||||||
\(702\) | 678.791 | − | 465.831i | 0.966939 | − | 0.663576i | ||||
\(703\) | −34.0270 | + | 9.11751i | −0.0484026 | + | 0.0129694i | ||||
\(704\) | −465.758 | + | 806.716i | −0.661588 | + | 1.14590i | ||||
\(705\) | 316.165 | + | 199.816i | 0.448461 | + | 0.283426i | ||||
\(706\) | − | 444.442i | − | 0.629521i | ||||||
\(707\) | 13.9639 | + | 171.342i | 0.0197509 | + | 0.242351i | ||||
\(708\) | 182.976 | + | 99.4026i | 0.258441 | + | 0.140399i | ||||
\(709\) | −1075.95 | + | 621.203i | −1.51757 | + | 0.876168i | −0.517780 | + | 0.855514i | \(0.673241\pi\) |
−0.999787 | + | 0.0206538i | \(0.993425\pi\) | |||||||
\(710\) | −396.753 | − | 805.584i | −0.558806 | − | 1.13463i | ||||
\(711\) | 26.9081 | + | 518.001i | 0.0378455 | + | 0.728553i | ||||
\(712\) | −604.343 | − | 161.933i | −0.848797 | − | 0.227434i | ||||
\(713\) | −21.7289 | + | 21.7289i | −0.0304753 | + | 0.0304753i | ||||
\(714\) | −167.357 | + | 378.481i | −0.234393 | + | 0.530086i | ||||
\(715\) | 1084.32 | + | 725.334i | 1.51654 | + | 1.01445i | ||||
\(716\) | −213.030 | + | 122.993i | −0.297528 | + | 0.171778i | ||||
\(717\) | 9.94353 | − | 6.09026i | 0.0138682 | − | 0.00849408i | ||||
\(718\) | 69.0551 | + | 257.717i | 0.0961770 | + | 0.358938i | ||||
\(719\) | −822.499 | + | 474.870i | −1.14395 | + | 0.660459i | −0.947405 | − | 0.320036i | \(-0.896305\pi\) |
−0.196543 | + | 0.980495i | \(0.562972\pi\) | |||||||
\(720\) | −268.319 | + | 260.874i | −0.372665 | + | 0.362325i | ||||
\(721\) | 469.457 | + | 1314.09i | 0.651119 | + | 1.82260i | ||||
\(722\) | −409.391 | + | 409.391i | −0.567024 | + | 0.567024i | ||||
\(723\) | 547.636 | − | 14.2142i | 0.757449 | − | 0.0196600i | ||||
\(724\) | −42.7006 | + | 73.9597i | −0.0589788 | + | 0.102154i | ||||
\(725\) | −15.0949 | + | 113.748i | −0.0208205 | + | 0.156894i | ||||
\(726\) | 237.887 | + | 225.850i | 0.327668 | + | 0.311089i | ||||
\(727\) | 460.949 | − | 460.949i | 0.634043 | − | 0.634043i | −0.315037 | − | 0.949079i | \(-0.602017\pi\) |
0.949079 | + | 0.315037i | \(0.102017\pi\) | |||||||
\(728\) | −657.657 | − | 951.226i | −0.903375 | − | 1.30663i | ||||
\(729\) | −720.182 | + | 113.046i | −0.987903 | + | 0.155070i | ||||
\(730\) | −31.3998 | + | 27.5082i | −0.0430134 | + | 0.0376824i | ||||
\(731\) | −211.026 | + | 365.507i | −0.288681 | + | 0.500010i | ||||
\(732\) | −47.8412 | + | 29.3020i | −0.0653568 | + | 0.0400300i | ||||
\(733\) | 283.095 | − | 1056.53i | 0.386214 | − | 1.44137i | −0.450029 | − | 0.893014i | \(-0.648586\pi\) |
0.836244 | − | 0.548358i | \(-0.184747\pi\) | |||||||
\(734\) | 71.0819i | 0.0968419i | ||||||||
\(735\) | 579.389 | + | 452.253i | 0.788285 | + | 0.615311i | ||||
\(736\) | 120.739 | 0.164048 | ||||||||
\(737\) | 349.059 | + | 93.5301i | 0.473622 | + | 0.126907i | ||||
\(738\) | −659.217 | + | 731.457i | −0.893248 | + | 0.991134i | ||||
\(739\) | 42.6947 | + | 24.6498i | 0.0577736 | + | 0.0333556i | 0.528609 | − | 0.848866i | \(-0.322714\pi\) |
−0.470835 | + | 0.882221i | \(0.656047\pi\) | |||||||
\(740\) | 19.9606 | − | 302.146i | 0.0269737 | − | 0.408306i | ||||
\(741\) | −13.3273 | − | 45.0301i | −0.0179855 | − | 0.0607694i | ||||
\(742\) | −129.069 | + | 89.2352i | −0.173947 | + | 0.120263i | ||||
\(743\) | −155.824 | − | 155.824i | −0.209723 | − | 0.209723i | 0.594427 | − | 0.804150i | \(-0.297379\pi\) |
−0.804150 | + | 0.594427i | \(0.797379\pi\) | |||||||
\(744\) | −103.458 | − | 98.2228i | −0.139056 | − | 0.132020i | ||||
\(745\) | −690.819 | − | 234.900i | −0.927274 | − | 0.315302i | ||||
\(746\) | −266.853 | − | 154.067i | −0.357711 | − | 0.206525i | ||||
\(747\) | −413.618 | − | 1274.98i | −0.553706 | − | 1.70680i | ||||
\(748\) | −169.095 | − | 169.095i | −0.226063 | − | 0.226063i | ||||
\(749\) | 765.841 | − | 273.595i | 1.02248 | − | 0.365280i | ||||
\(750\) | −462.583 | − | 386.122i | −0.616777 | − | 0.514829i | ||||
\(751\) | 242.458 | + | 419.950i | 0.322847 | + | 0.559188i | 0.981074 | − | 0.193631i | \(-0.0620266\pi\) |
−0.658227 | + | 0.752820i | \(0.728693\pi\) | |||||||
\(752\) | −200.295 | + | 53.6688i | −0.266349 | + | 0.0713681i | ||||
\(753\) | 1001.26 | − | 613.256i | 1.32969 | − | 0.814416i | ||||
\(754\) | 69.9742 | + | 121.199i | 0.0928040 | + | 0.160741i | ||||
\(755\) | 60.9440 | + | 307.216i | 0.0807206 | + | 0.406909i | ||||
\(756\) | 42.4815 | + | 264.641i | 0.0561924 | + | 0.350055i | ||||
\(757\) | −675.595 | − | 675.595i | −0.892464 | − | 0.892464i | 0.102291 | − | 0.994755i | \(-0.467383\pi\) |
−0.994755 | + | 0.102291i | \(0.967383\pi\) | |||||||
\(758\) | −186.890 | + | 697.481i | −0.246556 | + | 0.920160i | ||||
\(759\) | 54.2257 | − | 225.637i | 0.0714436 | − | 0.297282i | ||||
\(760\) | 15.8652 | + | 32.2134i | 0.0208752 | + | 0.0423860i | ||||
\(761\) | 319.802 | + | 553.914i | 0.420240 | + | 0.727876i | 0.995963 | − | 0.0897683i | \(-0.0286127\pi\) |
−0.575723 | + | 0.817645i | \(0.695279\pi\) | |||||||
\(762\) | −257.097 | − | 139.669i | −0.337397 | − | 0.183292i | ||||
\(763\) | −970.413 | + | 79.0860i | −1.27184 | + | 0.103651i | ||||
\(764\) | −147.896 | −0.193581 | ||||||||
\(765\) | −269.193 | − | 481.783i | −0.351887 | − | 0.629782i | ||||
\(766\) | 287.903 | + | 166.221i | 0.375852 | + | 0.216999i | ||||
\(767\) | 240.388 | + | 897.139i | 0.313413 | + | 1.16967i | ||||
\(768\) | 18.2158 | + | 701.806i | 0.0237184 | + | 0.913810i | ||||
\(769\) | −1079.96 | −1.40437 | −0.702187 | − | 0.711993i | \(-0.747793\pi\) | ||||
−0.702187 | + | 0.711993i | \(0.747793\pi\) | |||||||
\(770\) | 663.641 | − | 396.859i | 0.861871 | − | 0.515401i | ||||
\(771\) | −154.620 | − | 522.431i | −0.200545 | − | 0.677602i | ||||
\(772\) | −74.7686 | + | 279.040i | −0.0968505 | + | 0.361451i | ||||
\(773\) | −189.108 | − | 705.759i | −0.244641 | − | 0.913013i | −0.973563 | − | 0.228417i | \(-0.926645\pi\) |
0.728922 | − | 0.684596i | \(-0.240022\pi\) | |||||||
\(774\) | −25.8168 | − | 496.993i | −0.0333551 | − | 0.642109i | ||||
\(775\) | 83.2393 | − | 108.248i | 0.107406 | − | 0.139674i | ||||
\(776\) | −1101.96 | −1.42005 | ||||||||
\(777\) | 698.373 | + | 562.591i | 0.898807 | + | 0.724056i | ||||
\(778\) | 133.876 | − | 133.876i | 0.172078 | − | 0.172078i | ||||
\(779\) | 28.0844 | + | 48.6436i | 0.0360519 | + | 0.0624437i | ||||
\(780\) | 403.340 | + | 16.1491i | 0.517102 | + | 0.0207040i | ||||
\(781\) | −768.404 | + | 1330.92i | −0.983872 | + | 1.70412i | ||||
\(782\) | 28.6944 | − | 107.089i | 0.0366936 | − | 0.136942i | ||||
\(783\) | −9.63771 | − | 123.550i | −0.0123087 | − | 0.157790i | ||||
\(784\) | −402.121 | + | 65.9817i | −0.512909 | + | 0.0841603i | ||||
\(785\) | −248.213 | − | 166.036i | −0.316194 | − | 0.211511i | ||||
\(786\) | −250.382 | − | 237.713i | −0.318552 | − | 0.302434i | ||||
\(787\) | −198.581 | − | 741.113i | −0.252326 | − | 0.941694i | −0.969558 | − | 0.244860i | \(-0.921258\pi\) |
0.717232 | − | 0.696834i | \(-0.245409\pi\) | |||||||
\(788\) | −366.374 | + | 98.1697i | −0.464942 | + | 0.124581i | ||||
\(789\) | 130.205 | − | 137.144i | 0.165025 | − | 0.173820i | ||||
\(790\) | 257.445 | − | 384.862i | 0.325879 | − | 0.487168i | ||||
\(791\) | 1549.15 | + | 282.670i | 1.95848 | + | 0.357358i | ||||
\(792\) | 1053.68 | + | 224.473i | 1.33040 | + | 0.283425i | ||||
\(793\) | −241.704 | − | 64.7644i | −0.304797 | − | 0.0816701i | ||||
\(794\) | −751.042 | − | 433.614i | −0.945896 | − | 0.546113i | ||||
\(795\) | 8.37173 | − | 209.092i | 0.0105305 | − | 0.263009i | ||||
\(796\) | 122.119 | − | 70.5054i | 0.153416 | − | 0.0885746i | ||||
\(797\) | 276.684 | + | 276.684i | 0.347157 | + | 0.347157i | 0.859050 | − | 0.511892i | \(-0.171055\pi\) |
−0.511892 | + | 0.859050i | \(0.671055\pi\) | |||||||
\(798\) | −27.5035 | − | 4.28433i | −0.0344655 | − | 0.00536883i | ||||
\(799\) | − | 305.798i | − | 0.382726i | ||||||
\(800\) | −532.010 | + | 69.4809i | −0.665012 | + | 0.0868511i | ||||
\(801\) | 33.5532 | + | 645.923i | 0.0418891 | + | 0.806396i | ||||
\(802\) | 574.900 | − | 154.044i | 0.716832 | − | 0.192075i | ||||
\(803\) | 69.0078 | + | 18.4906i | 0.0859375 | + | 0.0230269i | ||||
\(804\) | 107.220 | − | 31.7333i | 0.133359 | − | 0.0394693i | ||||
\(805\) | −172.019 | − | 95.8249i | −0.213688 | − | 0.119037i | ||||
\(806\) | − | 166.544i | − | 0.206631i | ||||||
\(807\) | −249.231 | + | 6.46892i | −0.308836 | + | 0.00801601i | ||||
\(808\) | 206.521 | − | 55.3370i | 0.255595 | − | 0.0684864i | ||||
\(809\) | 545.532 | − | 944.889i | 0.674329 | − | 1.16797i | −0.302336 | − | 0.953202i | \(-0.597766\pi\) |
0.976665 | − | 0.214770i | \(-0.0689003\pi\) | |||||||
\(810\) | 575.478 | + | 303.831i | 0.710467 | + | 0.375100i | ||||
\(811\) | − | 1169.06i | − | 1.44150i | −0.693194 | − | 0.720751i | \(-0.743797\pi\) | ||
0.693194 | − | 0.720751i | \(-0.256203\pi\) | |||||||
\(812\) | −45.4126 | + | 3.70100i | −0.0559268 | + | 0.00455788i | ||||
\(813\) | 509.849 | − | 938.510i | 0.627121 | − | 1.15438i | ||||
\(814\) | 817.061 | − | 471.730i | 1.00376 | − | 0.579521i | ||||
\(815\) | −1237.00 | + | 609.227i | −1.51779 | + | 0.747518i | ||||
\(816\) | 297.506 | + | 71.4974i | 0.364591 | + | 0.0876194i | ||||
\(817\) | −27.4207 | − | 7.34736i | −0.0335627 | − | 0.00899310i | ||||
\(818\) | −9.71903 | + | 9.71903i | −0.0118815 | + | 0.0118815i | ||||
\(819\) | −725.571 | + | 950.133i | −0.885923 | + | 1.16011i | ||||
\(820\) | −473.583 | + | 93.9471i | −0.577541 | + | 0.114570i | ||||
\(821\) | −962.475 | + | 555.685i | −1.17232 | + | 0.676840i | −0.954226 | − | 0.299088i | \(-0.903318\pi\) |
−0.218095 | + | 0.975927i | \(0.569984\pi\) | |||||||
\(822\) | 399.122 | + | 651.644i | 0.485550 | + | 0.792755i | ||||
\(823\) | 241.317 | + | 900.608i | 0.293217 | + | 1.09430i | 0.942623 | + | 0.333858i | \(0.108351\pi\) |
−0.649407 | + | 0.760441i | \(0.724983\pi\) | |||||||
\(824\) | 1503.00 | − | 867.756i | 1.82403 | − | 1.05310i | ||||
\(825\) | −109.087 | + | 1025.42i | −0.132227 | + | 1.24294i | ||||
\(826\) | 541.578 | + | 98.8203i | 0.655663 | + | 0.119637i | ||||
\(827\) | 965.882 | − | 965.882i | 1.16793 | − | 1.16793i | 0.185241 | − | 0.982693i | \(-0.440693\pi\) |
0.982693 | − | 0.185241i | \(-0.0593066\pi\) | |||||||
\(828\) | −22.1578 | − | 68.3015i | −0.0267606 | − | 0.0824898i | ||||
\(829\) | −82.7727 | + | 143.367i | −0.0998464 | + | 0.172939i | −0.911621 | − | 0.411032i | \(-0.865168\pi\) |
0.811775 | + | 0.583971i | \(0.198502\pi\) | |||||||
\(830\) | −385.200 | + | 1132.84i | −0.464097 | + | 1.36487i | ||||
\(831\) | 888.837 | − | 936.207i | 1.06960 | − | 1.12660i | ||||
\(832\) | −909.067 | + | 909.067i | −1.09263 | + | 1.09263i | ||||
\(833\) | 59.4946 | − | 597.992i | 0.0714221 | − | 0.717878i | ||||
\(834\) | 715.859 | − | 211.868i | 0.858344 | − | 0.254038i | ||||
\(835\) | 104.323 | + | 6.89185i | 0.124938 | + | 0.00825371i | ||||
\(836\) | 8.04239 | − | 13.9298i | 0.00962009 | − | 0.0166625i | ||||
\(837\) | −63.5819 | + | 133.066i | −0.0759640 | + | 0.158979i | ||||
\(838\) | −139.733 | + | 521.492i | −0.166746 | + | 0.622305i | ||||
\(839\) | − | 261.449i | − | 0.311620i | −0.987787 | − | 0.155810i | \(-0.950201\pi\) | ||
0.987787 | − | 0.155810i | \(-0.0497987\pi\) | |||||||
\(840\) | 423.987 | − | 809.852i | 0.504746 | − | 0.964110i | ||||
\(841\) | −819.934 | −0.974951 | ||||||||
\(842\) | −852.609 | − | 228.456i | −1.01260 | − | 0.271325i | ||||
\(843\) | 520.420 | + | 849.687i | 0.617343 | + | 1.00793i | ||||
\(844\) | −3.88190 | − | 2.24121i | −0.00459940 | − | 0.00265547i | ||||
\(845\) | 629.609 | + | 718.680i | 0.745099 | + | 0.850509i | ||||
\(846\) | 196.248 | + | 302.501i | 0.231972 | + | 0.357566i | ||||
\(847\) | −430.503 | − | 203.873i | −0.508267 | − | 0.240700i | ||||
\(848\) | 82.0368 | + | 82.0368i | 0.0967415 | + | 0.0967415i | ||||
\(849\) | 657.030 | − | 692.046i | 0.773887 | − | 0.815131i | ||||
\(850\) | −64.8096 | + | 488.375i | −0.0762465 | + | 0.574559i | ||||
\(851\) | −208.065 | − | 120.126i | −0.244494 | − | 0.141159i | ||||
\(852\) | 12.3384 | + | 475.367i | 0.0144817 | + | 0.557943i | ||||
\(853\) | 324.329 | + | 324.329i | 0.380221 | + | 0.380221i | 0.871182 | − | 0.490960i | \(-0.163354\pi\) |
−0.490960 | + | 0.871182i | \(0.663354\pi\) | |||||||
\(854\) | −96.0118 | + | 113.050i | −0.112426 | + | 0.132377i | ||||
\(855\) | 26.6152 | − | 25.8767i | 0.0311289 | − | 0.0302652i | ||||
\(856\) | −505.719 | − | 875.932i | −0.590794 | − | 1.02328i | ||||
\(857\) | 173.945 | − | 46.6086i | 0.202970 | − | 0.0543857i | −0.155901 | − | 0.987773i | \(-0.549828\pi\) |
0.358872 | + | 0.933387i | \(0.383162\pi\) | |||||||
\(858\) | 656.904 | + | 1072.52i | 0.765623 | + | 1.25003i | ||||
\(859\) | 377.574 | + | 653.978i | 0.439551 | + | 0.761325i | 0.997655 | − | 0.0684462i | \(-0.0218042\pi\) |
−0.558104 | + | 0.829771i | \(0.688471\pi\) | |||||||
\(860\) | 135.673 | − | 202.821i | 0.157759 | − | 0.235839i | ||||
\(861\) | 578.264 | − | 1307.76i | 0.671619 | − | 1.51888i | ||||
\(862\) | 158.717 | + | 158.717i | 0.184126 | + | 0.184126i | ||||
\(863\) | 30.6518 | − | 114.394i | 0.0355177 | − | 0.132554i | −0.945890 | − | 0.324486i | \(-0.894809\pi\) |
0.981408 | + | 0.191932i | \(0.0614753\pi\) | |||||||
\(864\) | 546.347 | − | 193.047i | 0.632346 | − | 0.223434i | ||||
\(865\) | 1044.42 | − | 514.379i | 1.20742 | − | 0.594658i | ||||
\(866\) | −69.2490 | − | 119.943i | −0.0799642 | − | 0.138502i | ||||
\(867\) | 198.472 | − | 365.340i | 0.228919 | − | 0.421384i | ||||
\(868\) | 49.0046 | + | 23.2071i | 0.0564570 | + | 0.0267363i | ||||
\(869\) | −792.427 | −0.911884 | ||||||||
\(870\) | −59.1009 | + | 93.5143i | −0.0679320 | + | 0.107488i | ||||
\(871\) | 431.923 | + | 249.371i | 0.495894 | + | 0.286304i | ||||
\(872\) | 313.407 | + | 1169.65i | 0.359412 | + | 1.34134i | ||||
\(873\) | 351.525 | + | 1083.58i | 0.402664 | + | 1.24122i | ||||
\(874\) | 7.45710 | 0.00853216 | ||||||||
\(875\) | 813.106 | + | 323.240i | 0.929263 | + | 0.369418i | ||||
\(876\) | 21.1971 | − | 6.27357i | 0.0241976 | − | 0.00716161i | ||||
\(877\) | −367.846 | + | 1372.82i | −0.419436 | + | 1.56536i | 0.356344 | + | 0.934355i | \(0.384023\pi\) |
−0.775780 | + | 0.631003i | \(0.782643\pi\) | |||||||
\(878\) | 239.079 | + | 892.255i | 0.272299 | + | 1.01624i | ||||
\(879\) | 94.8431 | − | 394.650i | 0.107899 | − | 0.448976i | ||||
\(880\) | −376.741 | − | 430.039i | −0.428114 | − | 0.488680i | ||||
\(881\) | 652.322 | 0.740434 | 0.370217 | − | 0.928945i | \(-0.379283\pi\) | ||||
0.370217 | + | 0.928945i | \(0.379283\pi\) | |||||||
\(882\) | 324.913 | + | 629.725i | 0.368382 | + | 0.713974i | ||||
\(883\) | −1013.20 | + | 1013.20i | −1.14745 | + | 1.14745i | −0.160396 | + | 0.987053i | \(0.551277\pi\) |
−0.987053 | + | 0.160396i | \(0.948723\pi\) | |||||||
\(884\) | −165.020 | − | 285.823i | −0.186674 | − | 0.323329i | ||||
\(885\) | −539.494 | + | 497.956i | −0.609598 | + | 0.562662i | ||||
\(886\) | −380.733 | + | 659.449i | −0.429721 | + | 0.744299i | ||||
\(887\) | −109.911 | + | 410.195i | −0.123914 | + | 0.462452i | −0.999799 | − | 0.0200678i | \(-0.993612\pi\) |
0.875885 | + | 0.482520i | \(0.160278\pi\) | |||||||
\(888\) | 532.423 | − | 980.063i | 0.599575 | − | 1.10367i | ||||
\(889\) | 417.976 | + | 76.2670i | 0.470164 | + | 0.0857897i | ||||
\(890\) | 321.022 | − | 479.905i | 0.360698 | − | 0.539220i | ||||
\(891\) | −115.394 | − | 1107.71i | −0.129511 | − | 1.24322i | ||||
\(892\) | −46.7651 | − | 174.530i | −0.0524273 | − | 0.195661i | ||||
\(893\) | 19.8677 | − | 5.32355i | 0.0222483 | − | 0.00596142i | ||||
\(894\) | −510.161 | − | 484.348i | −0.570650 | − | 0.541776i | ||||
\(895\) | −168.758 | − | 850.702i | −0.188557 | − | 0.950506i | ||||
\(896\) | 54.2018 | + | 151.721i | 0.0604931 | + | 0.169331i | ||||
\(897\) | 152.887 | − | 281.429i | 0.170443 | − | 0.313744i | ||||
\(898\) | −162.013 | − | 43.4111i | −0.180415 | − | 0.0483420i | ||||
\(899\) | −21.7111 | − | 12.5349i | −0.0241503 | − | 0.0139432i | ||||
\(900\) | 136.938 | + | 288.204i | 0.152153 | + | 0.320227i | ||||
\(901\) | −148.171 | + | 85.5466i | −0.164452 | + | 0.0949462i | ||||
\(902\) | −1063.71 | − | 1063.71i | −1.17928 | − | 1.17928i | ||||
\(903\) | 260.703 | + | 674.018i | 0.288708 | + | 0.746421i | ||||
\(904\) | − | 1958.51i | − | 2.16649i | ||||||
\(905\) | −198.413 | − | 226.483i | −0.219241 | − | 0.250258i | ||||
\(906\) | −70.5577 | + | 293.596i | −0.0778782 | + | 0.324057i | ||||
\(907\) | −886.205 | + | 237.458i | −0.977073 | + | 0.261806i | −0.711811 | − | 0.702371i | \(-0.752125\pi\) |
−0.265261 | + | 0.964177i | \(0.585458\pi\) | |||||||
\(908\) | −202.081 | − | 54.1474i | −0.222556 | − | 0.0596337i | ||||
\(909\) | −120.295 | − | 185.424i | −0.132337 | − | 0.203987i | ||||
\(910\) | 1026.46 | − | 291.999i | 1.12798 | − | 0.320878i | ||||
\(911\) | 1022.80i | 1.12272i | 0.827570 | + | 0.561362i | \(0.189722\pi\) | ||||
−0.827570 | + | 0.561362i | \(0.810278\pi\) | |||||||
\(912\) | 0.534002 | + | 20.5737i | 0.000585528 | + | 0.0225589i | ||||
\(913\) | 1977.97 | − | 529.996i | 2.16646 | − | 0.580500i | ||||
\(914\) | −281.300 | + | 487.225i | −0.307768 | + | 0.533069i | ||||
\(915\) | −43.5096 | − | 192.954i | −0.0475515 | − | 0.210879i | ||||
\(916\) | − | 125.766i | − | 0.137299i | ||||||
\(917\) | 453.115 | + | 214.582i | 0.494128 | + | 0.234004i | ||||
\(918\) | −41.3793 | − | 530.458i | −0.0450755 | − | 0.577840i | ||||
\(919\) | −44.4702 | + | 25.6749i | −0.0483898 | + | 0.0279379i | −0.524000 | − | 0.851718i | \(-0.675561\pi\) |
0.475610 | + | 0.879656i | \(0.342227\pi\) | |||||||
\(920\) | −78.8393 | + | 231.859i | −0.0856949 | + | 0.252021i | ||||
\(921\) | 4.73201 | − | 19.6903i | 0.00513790 | − | 0.0213792i | ||||
\(922\) | −76.6080 | − | 20.5271i | −0.0830890 | − | 0.0222636i | ||||
\(923\) | −1499.77 | + | 1499.77i | −1.62489 | + | 1.62489i | ||||
\(924\) | −407.120 | + | 43.8390i | −0.440606 | + | 0.0474448i | ||||
\(925\) | 985.918 | + | 409.576i | 1.06586 | + | 0.442784i | ||||
\(926\) | 845.712 | − | 488.272i | 0.913295 | − | 0.527291i | ||||
\(927\) | −1332.74 | − | 1201.12i | −1.43770 | − | 1.29571i | ||||
\(928\) | 25.4943 | + | 95.1461i | 0.0274723 | + | 0.102528i | ||||
\(929\) | −254.572 | + | 146.977i | −0.274028 | + | 0.158210i | −0.630717 | − | 0.776013i | \(-0.717239\pi\) |
0.356689 | + | 0.934223i | \(0.383906\pi\) | |||||||
\(930\) | 116.553 | − | 61.2101i | 0.125325 | − | 0.0658173i | ||||
\(931\) | 39.8874 | − | 6.54489i | 0.0428436 | − | 0.00702996i | ||||
\(932\) | 144.339 | − | 144.339i | 0.154870 | − | 0.154870i | ||||
\(933\) | 15.4127 | + | 593.812i | 0.0165195 | + | 0.636454i | ||||
\(934\) | −650.511 | + | 1126.72i | −0.696478 | + | 1.20634i | ||||
\(935\) | 756.373 | − | 372.516i | 0.808955 | − | 0.398413i | ||||
\(936\) | 1324.48 | + | 675.624i | 1.41504 | + | 0.721820i | ||||
\(937\) | −259.320 | + | 259.320i | −0.276755 | + | 0.276755i | −0.831812 | − | 0.555057i | \(-0.812696\pi\) |
0.555057 | + | 0.831812i | \(0.312696\pi\) | |||||||
\(938\) | 243.162 | − | 168.117i | 0.259234 | − | 0.179229i | ||||
\(939\) | 109.306 | + | 369.323i | 0.116407 | + | 0.393315i | ||||
\(940\) | −11.6546 | + | 176.417i | −0.0123985 | + | 0.187678i | ||||
\(941\) | 714.684 | − | 1237.87i | 0.759494 | − | 1.31548i | −0.183615 | − | 0.982998i | \(-0.558780\pi\) |
0.943109 | − | 0.332484i | \(-0.107887\pi\) | |||||||
\(942\) | −150.372 | − | 245.511i | −0.159630 | − | 0.260628i | ||||
\(943\) | −99.1469 | + | 370.021i | −0.105140 | + | 0.392388i | ||||
\(944\) | − | 407.041i | − | 0.431187i | ||||||
\(945\) | −931.601 | − | 158.573i | −0.985821 | − | 0.167802i | ||||
\(946\) | 760.289 | 0.803688 | ||||||||
\(947\) | 1385.75 | + | 371.310i | 1.46330 | + | 0.392091i | 0.900630 | − | 0.434587i | \(-0.143106\pi\) |
0.562675 | + | 0.826678i | \(0.309772\pi\) | |||||||
\(948\) | −209.094 | + | 128.067i | −0.220564 | + | 0.135092i | ||||
\(949\) | 85.3898 | + | 49.2998i | 0.0899787 | + | 0.0519492i | ||||
\(950\) | −32.8580 | + | 4.29129i | −0.0345874 | + | 0.00451714i | ||||
\(951\) | −781.914 | + | 231.418i | −0.822202 | + | 0.243341i | ||||
\(952\) | −744.930 | + | 60.7097i | −0.782489 | + | 0.0637707i | ||||
\(953\) | −441.938 | − | 441.938i | −0.463733 | − | 0.463733i | 0.436144 | − | 0.899877i | \(-0.356344\pi\) |
−0.899877 | + | 0.436144i | \(0.856344\pi\) | |||||||
\(954\) | 91.6730 | − | 179.714i | 0.0960933 | − | 0.188379i | ||||
\(955\) | 167.867 | − | 493.682i | 0.175777 | − | 0.516944i | ||||
\(956\) | 4.77357 | + | 2.75602i | 0.00499328 | + | 0.00288287i | ||||
\(957\) | 189.259 | − | 4.91232i | 0.197763 | − | 0.00513304i | ||||
\(958\) | 285.967 | + | 285.967i | 0.298504 | + | 0.298504i | ||||
\(959\) | −845.799 | − | 718.327i | −0.881960 | − | 0.749038i | ||||
\(960\) | −970.301 | − | 302.082i | −1.01073 | − | 0.314668i | ||||
\(961\) | −465.583 | − | 806.413i | −0.484478 | − | 0.839140i | ||||
\(962\) | 1257.73 | − | 337.009i | 1.30742 | − | 0.350321i | ||||
\(963\) | −700.001 | + | 776.710i | −0.726896 | + | 0.806552i | ||||
\(964\) | 129.481 | + | 224.268i | 0.134317 | + | 0.232644i | ||||
\(965\) | −846.581 | − | 566.301i | −0.877286 | − | 0.586840i | ||||
\(966\) | −111.974 | − | 153.297i | −0.115915 | − | 0.158692i | ||||
\(967\) | 86.8779 | + | 86.8779i | 0.0898427 | + | 0.0898427i | 0.750600 | − | 0.660757i | \(-0.229765\pi\) |
−0.660757 | + | 0.750600i | \(0.729765\pi\) | |||||||
\(968\) | −153.331 | + | 572.238i | −0.158399 | + | 0.591155i | ||||
\(969\) | −29.5104 | − | 7.09201i | −0.0304545 | − | 0.00731890i | ||||
\(970\) | 327.374 | − | 962.776i | 0.337499 | − | 0.992553i | ||||
\(971\) | 441.199 | + | 764.180i | 0.454376 | + | 0.787003i | 0.998652 | − | 0.0519034i | \(-0.0165288\pi\) |
−0.544276 | + | 0.838906i | \(0.683195\pi\) | |||||||
\(972\) | −209.470 | − | 273.638i | −0.215504 | − | 0.281521i | ||||
\(973\) | −891.731 | + | 616.524i | −0.916476 | + | 0.633632i | ||||
\(974\) | −79.8223 | −0.0819531 | ||||||||
\(975\) | −511.711 | + | 1328.03i | −0.524832 | + | 1.36209i | ||||
\(976\) | 94.9714 | + | 54.8318i | 0.0973067 | + | 0.0561801i | ||||
\(977\) | −158.204 | − | 590.426i | −0.161928 | − | 0.604325i | −0.998412 | − | 0.0563331i | \(-0.982059\pi\) |
0.836484 | − | 0.547992i | \(-0.184608\pi\) | |||||||
\(978\) | −1328.92 | + | 34.4929i | −1.35882 | + | 0.0352689i | ||||
\(979\) | −988.120 | −1.00932 | ||||||||
\(980\) | −57.1137 | + | 342.719i | −0.0582793 | + | 0.349713i | ||||
\(981\) | 1050.17 | − | 681.302i | 1.07051 | − | 0.694497i | ||||
\(982\) | 0.391951 | − | 1.46278i | 0.000399135 | − | 0.00148959i | ||||
\(983\) | 220.740 | + | 823.815i | 0.224558 | + | 0.838062i | 0.982581 | + | 0.185834i | \(0.0594987\pi\) |
−0.758023 | + | 0.652228i | \(0.773835\pi\) | |||||||
\(984\) | −1729.15 | − | 415.553i | −1.75727 | − | 0.422310i | ||||
\(985\) | 88.1538 | − | 1334.40i | 0.0894962 | − | 1.35472i | ||||
\(986\) | 90.4481 | 0.0917323 | ||||||||
\(987\) | −407.767 | − | 328.487i | −0.413138 | − | 0.332813i | ||||
\(988\) | 15.6972 | − | 15.6972i | 0.0158878 | − | 0.0158878i | ||||
\(989\) | −96.8039 | − | 167.669i | −0.0978806 | − | 0.169534i | ||||
\(990\) | −509.152 | + | 853.907i | −0.514295 | + | 0.862532i | ||||
\(991\) | 104.543 | − | 181.074i | 0.105493 | − | 0.182718i | −0.808447 | − | 0.588569i | \(-0.799691\pi\) |
0.913939 | + | 0.405851i | \(0.133025\pi\) | |||||||
\(992\) | 30.3393 | − | 113.228i | 0.0305839 | − | 0.114141i | ||||
\(993\) | −1126.89 | − | 612.189i | −1.13484 | − | 0.616504i | ||||
\(994\) | 422.946 | + | 1183.90i | 0.425499 | + | 1.19105i | ||||
\(995\) | 96.7403 | + | 487.664i | 0.0972264 | + | 0.490114i | ||||
\(996\) | 436.265 | − | 459.515i | 0.438017 | − | 0.461361i | ||||
\(997\) | −88.0773 | − | 328.709i | −0.0883424 | − | 0.329698i | 0.907584 | − | 0.419871i | \(-0.137925\pi\) |
−0.995926 | + | 0.0901729i | \(0.971258\pi\) | |||||||
\(998\) | −581.843 | + | 155.904i | −0.583009 | + | 0.156217i | ||||
\(999\) | −1133.56 | − | 210.904i | −1.13470 | − | 0.211115i |
(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 | 105.3.w.a.17.9 | ✓ | 112 | |
3.2 | odd | 2 | inner | 105.3.w.a.17.20 | yes | 112 | |
5.3 | odd | 4 | inner | 105.3.w.a.38.9 | yes | 112 | |
7.5 | odd | 6 | inner | 105.3.w.a.47.20 | yes | 112 | |
15.8 | even | 4 | inner | 105.3.w.a.38.20 | yes | 112 | |
21.5 | even | 6 | inner | 105.3.w.a.47.9 | yes | 112 | |
35.33 | even | 12 | inner | 105.3.w.a.68.20 | yes | 112 | |
105.68 | odd | 12 | inner | 105.3.w.a.68.9 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.w.a.17.9 | ✓ | 112 | 1.1 | even | 1 | trivial | |
105.3.w.a.17.20 | yes | 112 | 3.2 | odd | 2 | inner | |
105.3.w.a.38.9 | yes | 112 | 5.3 | odd | 4 | inner | |
105.3.w.a.38.20 | yes | 112 | 15.8 | even | 4 | inner | |
105.3.w.a.47.9 | yes | 112 | 21.5 | even | 6 | inner | |
105.3.w.a.47.20 | yes | 112 | 7.5 | odd | 6 | inner | |
105.3.w.a.68.9 | yes | 112 | 105.68 | odd | 12 | inner | |
105.3.w.a.68.20 | yes | 112 | 35.33 | even | 12 | inner |