Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(101,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.t (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.8 | ||
Character | \(\chi\) | \(=\) | 315.101 |
Dual form | 315.2.t.c.131.9 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.103991i | − | 0.0735326i | −0.999324 | − | 0.0367663i | \(-0.988294\pi\) | ||
0.999324 | − | 0.0367663i | \(-0.0117057\pi\) | |||||||
\(3\) | 0.570662 | − | 1.63534i | 0.329472 | − | 0.944165i | ||||
\(4\) | 1.98919 | 0.994593 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.170061 | − | 0.0593436i | −0.0694269 | − | 0.0242269i | ||||
\(7\) | −0.107447 | − | 2.64357i | −0.0406110 | − | 0.999175i | ||||
\(8\) | − | 0.414839i | − | 0.146668i | ||||||
\(9\) | −2.34869 | − | 1.86646i | −0.782896 | − | 0.622152i | ||||
\(10\) | 0.0900587 | + | 0.0519954i | 0.0284790 | + | 0.0164424i | ||||
\(11\) | 2.53457 | − | 1.46334i | 0.764202 | − | 0.441212i | −0.0666004 | − | 0.997780i | \(-0.521215\pi\) |
0.830802 | + | 0.556567i | \(0.187882\pi\) | |||||||
\(12\) | 1.13515 | − | 3.25300i | 0.327690 | − | 0.939060i | ||||
\(13\) | −2.40454 | + | 1.38826i | −0.666899 | + | 0.385034i | −0.794901 | − | 0.606740i | \(-0.792477\pi\) |
0.128001 | + | 0.991774i | \(0.459144\pi\) | |||||||
\(14\) | −0.274907 | + | 0.0111734i | −0.0734719 | + | 0.00298623i | ||||
\(15\) | 1.13092 | + | 1.31188i | 0.292002 | + | 0.338726i | ||||
\(16\) | 3.93523 | 0.983808 | ||||||||
\(17\) | −3.62041 | + | 6.27073i | −0.878078 | + | 1.52088i | −0.0246300 | + | 0.999697i | \(0.507841\pi\) |
−0.853448 | + | 0.521179i | \(0.825493\pi\) | |||||||
\(18\) | −0.194094 | + | 0.244242i | −0.0457484 | + | 0.0575684i | ||||
\(19\) | 6.40301 | − | 3.69678i | 1.46895 | − | 0.848100i | 0.469558 | − | 0.882902i | \(-0.344413\pi\) |
0.999394 | + | 0.0348020i | \(0.0110800\pi\) | |||||||
\(20\) | −0.994593 | + | 1.72269i | −0.222398 | + | 0.385204i | ||||
\(21\) | −4.38446 | − | 1.33287i | −0.956767 | − | 0.290857i | ||||
\(22\) | −0.152173 | − | 0.263572i | −0.0324435 | − | 0.0561938i | ||||
\(23\) | −0.159465 | − | 0.0920672i | −0.0332508 | − | 0.0191973i | 0.483282 | − | 0.875464i | \(-0.339444\pi\) |
−0.516533 | + | 0.856267i | \(0.672778\pi\) | |||||||
\(24\) | −0.678403 | − | 0.236733i | −0.138478 | − | 0.0483229i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0.144366 | + | 0.250050i | 0.0283126 | + | 0.0490388i | ||||
\(27\) | −4.39260 | + | 2.77580i | −0.845357 | + | 0.534202i | ||||
\(28\) | −0.213731 | − | 5.25855i | −0.0403914 | − | 0.993772i | ||||
\(29\) | −1.84819 | − | 1.06705i | −0.343201 | − | 0.198147i | 0.318486 | − | 0.947928i | \(-0.396826\pi\) |
−0.661686 | + | 0.749781i | \(0.730159\pi\) | |||||||
\(30\) | 0.136423 | − | 0.117605i | 0.0249074 | − | 0.0214716i | ||||
\(31\) | 2.83342i | 0.508897i | 0.967086 | + | 0.254448i | \(0.0818939\pi\) | ||||
−0.967086 | + | 0.254448i | \(0.918106\pi\) | |||||||
\(32\) | − | 1.23891i | − | 0.219010i | ||||||
\(33\) | −0.946671 | − | 4.97996i | −0.164794 | − | 0.866900i | ||||
\(34\) | 0.652098 | + | 0.376489i | 0.111834 | + | 0.0645673i | ||||
\(35\) | 2.34312 | + | 1.22873i | 0.396060 | + | 0.207694i | ||||
\(36\) | −4.67198 | − | 3.71273i | −0.778663 | − | 0.618788i | ||||
\(37\) | −1.26588 | − | 2.19256i | −0.208109 | − | 0.360455i | 0.743010 | − | 0.669281i | \(-0.233398\pi\) |
−0.951119 | + | 0.308825i | \(0.900064\pi\) | |||||||
\(38\) | −0.384431 | − | 0.665854i | −0.0623630 | − | 0.108016i | ||||
\(39\) | 0.898103 | + | 4.72447i | 0.143812 | + | 0.756521i | ||||
\(40\) | 0.359261 | + | 0.207419i | 0.0568041 | + | 0.0327959i | ||||
\(41\) | 3.74637 | + | 6.48890i | 0.585084 | + | 1.01340i | 0.994865 | + | 0.101211i | \(0.0322718\pi\) |
−0.409781 | + | 0.912184i | \(0.634395\pi\) | |||||||
\(42\) | −0.138606 | + | 0.455943i | −0.0213874 | + | 0.0703535i | ||||
\(43\) | 0.223536 | − | 0.387176i | 0.0340889 | − | 0.0590438i | −0.848478 | − | 0.529231i | \(-0.822480\pi\) |
0.882567 | + | 0.470188i | \(0.155814\pi\) | |||||||
\(44\) | 5.04173 | − | 2.91085i | 0.760070 | − | 0.438827i | ||||
\(45\) | 2.79074 | − | 1.10080i | 0.416019 | − | 0.164097i | ||||
\(46\) | −0.00957414 | + | 0.0165829i | −0.00141163 | + | 0.00244501i | ||||
\(47\) | 0.588831 | 0.0858899 | 0.0429449 | − | 0.999077i | \(-0.486326\pi\) | ||||
0.0429449 | + | 0.999077i | \(0.486326\pi\) | |||||||
\(48\) | 2.24569 | − | 6.43545i | 0.324137 | − | 0.928878i | ||||
\(49\) | −6.97691 | + | 0.568084i | −0.996701 | + | 0.0811549i | ||||
\(50\) | −0.0900587 | + | 0.0519954i | −0.0127362 | + | 0.00735326i | ||||
\(51\) | 8.18876 | + | 9.49907i | 1.14666 | + | 1.33014i | ||||
\(52\) | −4.78308 | + | 2.76151i | −0.663293 | + | 0.382953i | ||||
\(53\) | 6.46888 | + | 3.73481i | 0.888570 | + | 0.513016i | 0.873474 | − | 0.486870i | \(-0.161862\pi\) |
0.0150952 | + | 0.999886i | \(0.495195\pi\) | |||||||
\(54\) | 0.288657 | + | 0.456790i | 0.0392813 | + | 0.0621613i | ||||
\(55\) | 2.92667i | 0.394632i | ||||||||
\(56\) | −1.09665 | + | 0.0445730i | −0.146547 | + | 0.00595631i | ||||
\(57\) | −2.39155 | − | 12.5807i | −0.316768 | − | 1.66636i | ||||
\(58\) | −0.110964 | + | 0.192195i | −0.0145703 | + | 0.0252364i | ||||
\(59\) | −8.14263 | −1.06008 | −0.530040 | − | 0.847973i | \(-0.677823\pi\) | ||||
−0.530040 | + | 0.847973i | \(0.677823\pi\) | |||||||
\(60\) | 2.24960 | + | 2.60957i | 0.290423 | + | 0.336894i | ||||
\(61\) | 12.6412i | 1.61854i | 0.587434 | + | 0.809272i | \(0.300138\pi\) | ||||
−0.587434 | + | 0.809272i | \(0.699862\pi\) | |||||||
\(62\) | 0.294649 | 0.0374205 | ||||||||
\(63\) | −4.68175 | + | 6.40947i | −0.589845 | + | 0.807517i | ||||
\(64\) | 7.74163 | 0.967704 | ||||||||
\(65\) | − | 2.77652i | − | 0.344385i | ||||||
\(66\) | −0.517870 | + | 0.0984450i | −0.0637454 | + | 0.0121177i | ||||
\(67\) | 3.10342 | 0.379143 | 0.189572 | − | 0.981867i | \(-0.439290\pi\) | ||||
0.189572 | + | 0.981867i | \(0.439290\pi\) | |||||||
\(68\) | −7.20166 | + | 12.4736i | −0.873330 | + | 1.51265i | ||||
\(69\) | −0.241562 | + | 0.208241i | −0.0290806 | + | 0.0250692i | ||||
\(70\) | 0.127777 | − | 0.243663i | 0.0152723 | − | 0.0291233i | ||||
\(71\) | 5.62459i | 0.667516i | 0.942659 | + | 0.333758i | \(0.108317\pi\) | ||||
−0.942659 | + | 0.333758i | \(0.891683\pi\) | |||||||
\(72\) | −0.774278 | + | 0.974327i | −0.0912495 | + | 0.114826i | ||||
\(73\) | 11.3988 | + | 6.58111i | 1.33413 | + | 0.770261i | 0.985930 | − | 0.167159i | \(-0.0534594\pi\) |
0.348201 | + | 0.937420i | \(0.386793\pi\) | |||||||
\(74\) | −0.228006 | + | 0.131640i | −0.0265052 | + | 0.0153028i | ||||
\(75\) | −1.70158 | + | 0.323463i | −0.196481 | + | 0.0373503i | ||||
\(76\) | 12.7368 | − | 7.35359i | 1.46101 | − | 0.843514i | ||||
\(77\) | −4.14076 | − | 6.54308i | −0.471883 | − | 0.745654i | ||||
\(78\) | 0.491302 | − | 0.0933945i | 0.0556290 | − | 0.0105748i | ||||
\(79\) | −9.11435 | −1.02544 | −0.512722 | − | 0.858555i | \(-0.671363\pi\) | ||||
−0.512722 | + | 0.858555i | \(0.671363\pi\) | |||||||
\(80\) | −1.96762 | + | 3.40801i | −0.219986 | + | 0.381027i | ||||
\(81\) | 2.03268 | + | 8.76745i | 0.225854 | + | 0.974161i | ||||
\(82\) | 0.674785 | − | 0.389587i | 0.0745176 | − | 0.0430227i | ||||
\(83\) | −4.90339 | + | 8.49292i | −0.538217 | + | 0.932219i | 0.460783 | + | 0.887513i | \(0.347569\pi\) |
−0.999000 | + | 0.0447065i | \(0.985765\pi\) | |||||||
\(84\) | −8.72150 | − | 2.65133i | −0.951593 | − | 0.289284i | ||||
\(85\) | −3.62041 | − | 6.27073i | −0.392688 | − | 0.680156i | ||||
\(86\) | −0.0402627 | − | 0.0232457i | −0.00434164 | − | 0.00250665i | ||||
\(87\) | −2.79969 | + | 2.41350i | −0.300158 | + | 0.258754i | ||||
\(88\) | −0.607048 | − | 1.05144i | −0.0647115 | − | 0.112084i | ||||
\(89\) | −7.98030 | − | 13.8223i | −0.845910 | − | 1.46516i | −0.884829 | − | 0.465917i | \(-0.845725\pi\) |
0.0389185 | − | 0.999242i | \(-0.487609\pi\) | |||||||
\(90\) | −0.114473 | − | 0.290212i | −0.0120665 | − | 0.0305910i | ||||
\(91\) | 3.92832 | + | 6.20740i | 0.411800 | + | 0.650712i | ||||
\(92\) | −0.317206 | − | 0.183139i | −0.0330710 | − | 0.0190935i | ||||
\(93\) | 4.63361 | + | 1.61692i | 0.480483 | + | 0.167667i | ||||
\(94\) | − | 0.0612330i | − | 0.00631571i | ||||||
\(95\) | 7.39356i | 0.758564i | ||||||||
\(96\) | −2.02603 | − | 0.706996i | −0.206781 | − | 0.0721575i | ||||
\(97\) | −1.69927 | − | 0.981074i | −0.172535 | − | 0.0996130i | 0.411246 | − | 0.911525i | \(-0.365094\pi\) |
−0.583781 | + | 0.811912i | \(0.698427\pi\) | |||||||
\(98\) | 0.0590755 | + | 0.725534i | 0.00596753 | + | 0.0732900i | ||||
\(99\) | −8.68417 | − | 1.29375i | −0.872792 | − | 0.130026i | ||||
\(100\) | −0.994593 | − | 1.72269i | −0.0994593 | − | 0.172269i | ||||
\(101\) | −2.85272 | − | 4.94105i | −0.283856 | − | 0.491653i | 0.688475 | − | 0.725260i | \(-0.258280\pi\) |
−0.972331 | + | 0.233607i | \(0.924947\pi\) | |||||||
\(102\) | 0.987816 | − | 0.851556i | 0.0978084 | − | 0.0843166i | ||||
\(103\) | −10.4398 | − | 6.02741i | −1.02866 | − | 0.593899i | −0.112061 | − | 0.993701i | \(-0.535745\pi\) |
−0.916601 | + | 0.399803i | \(0.869079\pi\) | |||||||
\(104\) | 0.575904 | + | 0.997496i | 0.0564721 | + | 0.0978125i | ||||
\(105\) | 3.34653 | − | 3.13061i | 0.326588 | − | 0.305517i | ||||
\(106\) | 0.388386 | − | 0.672704i | 0.0377234 | − | 0.0653388i | ||||
\(107\) | 2.07619 | − | 1.19869i | 0.200713 | − | 0.115882i | −0.396275 | − | 0.918132i | \(-0.629697\pi\) |
0.596988 | + | 0.802250i | \(0.296364\pi\) | |||||||
\(108\) | −8.73770 | + | 5.52157i | −0.840786 | + | 0.531314i | ||||
\(109\) | −5.16660 | + | 8.94882i | −0.494871 | + | 0.857141i | −0.999983 | − | 0.00591270i | \(-0.998118\pi\) |
0.505112 | + | 0.863054i | \(0.331451\pi\) | |||||||
\(110\) | 0.304347 | 0.0290183 | ||||||||
\(111\) | −4.30798 | + | 0.818930i | −0.408896 | + | 0.0777294i | ||||
\(112\) | −0.422827 | − | 10.4031i | −0.0399534 | − | 0.982997i | ||||
\(113\) | 7.32912 | − | 4.23147i | 0.689466 | − | 0.398063i | −0.113946 | − | 0.993487i | \(-0.536349\pi\) |
0.803412 | + | 0.595424i | \(0.203016\pi\) | |||||||
\(114\) | −1.30828 | + | 0.248699i | −0.122532 | + | 0.0232928i | ||||
\(115\) | 0.159465 | − | 0.0920672i | 0.0148702 | − | 0.00858531i | ||||
\(116\) | −3.67640 | − | 2.12257i | −0.341345 | − | 0.197076i | ||||
\(117\) | 8.23865 | + | 1.22737i | 0.761663 | + | 0.113471i | ||||
\(118\) | 0.846759i | 0.0779505i | ||||||||
\(119\) | 16.9661 | + | 8.89703i | 1.55528 | + | 0.815589i | ||||
\(120\) | 0.544218 | − | 0.469148i | 0.0496801 | − | 0.0428272i | ||||
\(121\) | −1.21730 | + | 2.10842i | −0.110664 | + | 0.191675i | ||||
\(122\) | 1.31457 | 0.119016 | ||||||||
\(123\) | 12.7495 | − | 2.42362i | 1.14958 | − | 0.218531i | ||||
\(124\) | 5.63620i | 0.506145i | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0.666525 | + | 0.486858i | 0.0593788 | + | 0.0433728i | ||||
\(127\) | 6.15631 | 0.546284 | 0.273142 | − | 0.961974i | \(-0.411937\pi\) | ||||
0.273142 | + | 0.961974i | \(0.411937\pi\) | |||||||
\(128\) | − | 3.28287i | − | 0.290167i | ||||||
\(129\) | −0.505602 | − | 0.586505i | −0.0445157 | − | 0.0516389i | ||||
\(130\) | −0.288733 | −0.0253235 | ||||||||
\(131\) | 10.4097 | − | 18.0301i | 0.909498 | − | 1.57530i | 0.0947339 | − | 0.995503i | \(-0.469800\pi\) |
0.814764 | − | 0.579793i | \(-0.196867\pi\) | |||||||
\(132\) | −1.88310 | − | 9.90607i | −0.163903 | − | 0.862213i | ||||
\(133\) | −10.4607 | − | 16.5296i | −0.907056 | − | 1.43330i | ||||
\(134\) | − | 0.322727i | − | 0.0278794i | ||||||
\(135\) | −0.207608 | − | 5.19200i | −0.0178681 | − | 0.446857i | ||||
\(136\) | 2.60134 | + | 1.50188i | 0.223063 | + | 0.128786i | ||||
\(137\) | 4.83774 | − | 2.79307i | 0.413316 | − | 0.238628i | −0.278897 | − | 0.960321i | \(-0.589969\pi\) |
0.692214 | + | 0.721693i | \(0.256636\pi\) | |||||||
\(138\) | 0.0216551 | + | 0.0251202i | 0.00184341 | + | 0.00213838i | ||||
\(139\) | 12.4855 | − | 7.20849i | 1.05900 | − | 0.611416i | 0.133847 | − | 0.991002i | \(-0.457267\pi\) |
0.925157 | + | 0.379586i | \(0.123933\pi\) | |||||||
\(140\) | 4.66090 | + | 2.44418i | 0.393918 | + | 0.206571i | ||||
\(141\) | 0.336024 | − | 0.962941i | 0.0282983 | − | 0.0810943i | ||||
\(142\) | 0.584906 | 0.0490842 | ||||||||
\(143\) | −4.06298 | + | 7.03730i | −0.339764 | + | 0.588488i | ||||
\(144\) | −9.24264 | − | 7.34494i | −0.770220 | − | 0.612078i | ||||
\(145\) | 1.84819 | − | 1.06705i | 0.153484 | − | 0.0886140i | ||||
\(146\) | 0.684375 | − | 1.18537i | 0.0566393 | − | 0.0981021i | ||||
\(147\) | −3.05245 | + | 11.7338i | −0.251762 | + | 0.967789i | ||||
\(148\) | −2.51807 | − | 4.36142i | −0.206984 | − | 0.358506i | ||||
\(149\) | −1.34036 | − | 0.773860i | −0.109807 | − | 0.0633971i | 0.444091 | − | 0.895982i | \(-0.353527\pi\) |
−0.553898 | + | 0.832585i | \(0.686860\pi\) | |||||||
\(150\) | 0.0336372 | + | 0.176949i | 0.00274647 | + | 0.0144478i | ||||
\(151\) | 7.65406 | + | 13.2572i | 0.622878 | + | 1.07886i | 0.988947 | + | 0.148269i | \(0.0473701\pi\) |
−0.366069 | + | 0.930588i | \(0.619297\pi\) | |||||||
\(152\) | −1.53357 | − | 2.65622i | −0.124389 | − | 0.215448i | ||||
\(153\) | 20.2073 | − | 7.97066i | 1.63366 | − | 0.644390i | ||||
\(154\) | −0.680420 | + | 0.430601i | −0.0548298 | + | 0.0346988i | ||||
\(155\) | −2.45381 | − | 1.41671i | −0.197095 | − | 0.113793i | ||||
\(156\) | 1.78649 | + | 9.39786i | 0.143034 | + | 0.752431i | ||||
\(157\) | − | 4.42545i | − | 0.353189i | −0.984284 | − | 0.176595i | \(-0.943492\pi\) | ||
0.984284 | − | 0.176595i | \(-0.0565082\pi\) | |||||||
\(158\) | 0.947808i | 0.0754036i | ||||||||
\(159\) | 9.79924 | − | 8.44752i | 0.777131 | − | 0.669932i | ||||
\(160\) | 1.07292 | + | 0.619453i | 0.0848220 | + | 0.0489720i | ||||
\(161\) | −0.226252 | + | 0.431449i | −0.0178312 | + | 0.0340029i | ||||
\(162\) | 0.911734 | − | 0.211380i | 0.0716326 | − | 0.0166076i | ||||
\(163\) | −2.67530 | − | 4.63375i | −0.209546 | − | 0.362944i | 0.742026 | − | 0.670371i | \(-0.233865\pi\) |
−0.951571 | + | 0.307428i | \(0.900532\pi\) | |||||||
\(164\) | 7.45222 | + | 12.9076i | 0.581920 | + | 1.00792i | ||||
\(165\) | 4.78611 | + | 1.67014i | 0.372598 | + | 0.130020i | ||||
\(166\) | 0.883186 | + | 0.509907i | 0.0685485 | + | 0.0395765i | ||||
\(167\) | −10.2622 | − | 17.7747i | −0.794116 | − | 1.37545i | −0.923399 | − | 0.383841i | \(-0.874601\pi\) |
0.129284 | − | 0.991608i | \(-0.458732\pi\) | |||||||
\(168\) | −0.552927 | + | 1.81884i | −0.0426592 | + | 0.140327i | ||||
\(169\) | −2.64546 | + | 4.58207i | −0.203497 | + | 0.352467i | ||||
\(170\) | −0.652098 | + | 0.376489i | −0.0500136 | + | 0.0288754i | ||||
\(171\) | −21.9386 | − | 3.26835i | −1.67768 | − | 0.249937i | ||||
\(172\) | 0.444655 | − | 0.770165i | 0.0339046 | − | 0.0587245i | ||||
\(173\) | −21.3176 | −1.62074 | −0.810372 | − | 0.585915i | \(-0.800735\pi\) | ||||
−0.810372 | + | 0.585915i | \(0.800735\pi\) | |||||||
\(174\) | 0.250982 | + | 0.291142i | 0.0190269 | + | 0.0220714i | ||||
\(175\) | −2.23567 | + | 1.41484i | −0.169001 | + | 0.106952i | ||||
\(176\) | 9.97413 | − | 5.75857i | 0.751828 | − | 0.434068i | ||||
\(177\) | −4.64669 | + | 13.3160i | −0.349267 | + | 1.00089i | ||||
\(178\) | −1.43739 | + | 0.829878i | −0.107737 | + | 0.0622020i | ||||
\(179\) | −2.03822 | − | 1.17677i | −0.152344 | − | 0.0879556i | 0.421890 | − | 0.906647i | \(-0.361367\pi\) |
−0.574234 | + | 0.818691i | \(0.694700\pi\) | |||||||
\(180\) | 5.55131 | − | 2.18969i | 0.413770 | − | 0.163210i | ||||
\(181\) | − | 1.64325i | − | 0.122142i | −0.998133 | − | 0.0610711i | \(-0.980548\pi\) | ||
0.998133 | − | 0.0610711i | \(-0.0194516\pi\) | |||||||
\(182\) | 0.645513 | − | 0.408509i | 0.0478486 | − | 0.0302807i | ||||
\(183\) | 20.6728 | + | 7.21388i | 1.52817 | + | 0.533265i | ||||
\(184\) | −0.0381930 | + | 0.0661522i | −0.00281563 | + | 0.00487681i | ||||
\(185\) | 2.53176 | 0.186138 | ||||||||
\(186\) | 0.168145 | − | 0.481853i | 0.0123290 | − | 0.0353311i | ||||
\(187\) | 21.1915i | 1.54967i | ||||||||
\(188\) | 1.17130 | 0.0854255 | ||||||||
\(189\) | 7.80998 | + | 11.3139i | 0.568092 | + | 0.822965i | ||||
\(190\) | 0.768862 | 0.0557791 | ||||||||
\(191\) | − | 13.5068i | − | 0.977319i | −0.872475 | − | 0.488659i | \(-0.837486\pi\) | ||
0.872475 | − | 0.488659i | \(-0.162514\pi\) | |||||||
\(192\) | 4.41786 | − | 12.6602i | 0.318831 | − | 0.913672i | ||||
\(193\) | −15.7119 | −1.13097 | −0.565485 | − | 0.824759i | \(-0.691311\pi\) | ||||
−0.565485 | + | 0.824759i | \(0.691311\pi\) | |||||||
\(194\) | −0.102023 | + | 0.176708i | −0.00732480 | + | 0.0126869i | ||||
\(195\) | −4.54057 | − | 1.58446i | −0.325157 | − | 0.113465i | ||||
\(196\) | −13.8784 | + | 1.13003i | −0.991312 | + | 0.0807161i | ||||
\(197\) | − | 24.6295i | − | 1.75478i | −0.479781 | − | 0.877388i | \(-0.659284\pi\) | ||
0.479781 | − | 0.877388i | \(-0.340716\pi\) | |||||||
\(198\) | −0.134538 | + | 0.903074i | −0.00956117 | + | 0.0641787i | ||||
\(199\) | −14.4687 | − | 8.35349i | −1.02566 | − | 0.592163i | −0.109919 | − | 0.993941i | \(-0.535059\pi\) |
−0.915737 | + | 0.401778i | \(0.868392\pi\) | |||||||
\(200\) | −0.359261 | + | 0.207419i | −0.0254036 | + | 0.0146668i | ||||
\(201\) | 1.77101 | − | 5.07516i | 0.124917 | − | 0.357974i | ||||
\(202\) | −0.513824 | + | 0.296656i | −0.0361525 | + | 0.0208727i | ||||
\(203\) | −2.62225 | + | 5.00047i | −0.184046 | + | 0.350964i | ||||
\(204\) | 16.2890 | + | 18.8954i | 1.14046 | + | 1.32294i | ||||
\(205\) | −7.49273 | −0.523315 | ||||||||
\(206\) | −0.626795 | + | 1.08564i | −0.0436709 | + | 0.0756402i | ||||
\(207\) | 0.202694 | + | 0.513872i | 0.0140882 | + | 0.0357165i | ||||
\(208\) | −9.46242 | + | 5.46313i | −0.656101 | + | 0.378800i | ||||
\(209\) | 10.8193 | − | 18.7395i | 0.748384 | − | 1.29624i | ||||
\(210\) | −0.325555 | − | 0.348008i | −0.0224654 | − | 0.0240148i | ||||
\(211\) | −3.73218 | − | 6.46432i | −0.256934 | − | 0.445022i | 0.708485 | − | 0.705726i | \(-0.249379\pi\) |
−0.965419 | + | 0.260703i | \(0.916046\pi\) | |||||||
\(212\) | 12.8678 | + | 7.42923i | 0.883765 | + | 0.510242i | ||||
\(213\) | 9.19814 | + | 3.20974i | 0.630246 | + | 0.219928i | ||||
\(214\) | −0.124653 | − | 0.215905i | −0.00852109 | − | 0.0147590i | ||||
\(215\) | 0.223536 | + | 0.387176i | 0.0152450 | + | 0.0264052i | ||||
\(216\) | 1.15151 | + | 1.82222i | 0.0783501 | + | 0.123986i | ||||
\(217\) | 7.49034 | − | 0.304441i | 0.508477 | − | 0.0206668i | ||||
\(218\) | 0.930594 | + | 0.537279i | 0.0630278 | + | 0.0363891i | ||||
\(219\) | 17.2672 | − | 14.8854i | 1.16681 | − | 1.00586i | ||||
\(220\) | 5.82169i | 0.392498i | ||||||||
\(221\) | − | 20.1043i | − | 1.35236i | ||||||
\(222\) | 0.0851612 | + | 0.447990i | 0.00571564 | + | 0.0300671i | ||||
\(223\) | −9.35222 | − | 5.39951i | −0.626271 | − | 0.361578i | 0.153036 | − | 0.988221i | \(-0.451095\pi\) |
−0.779306 | + | 0.626643i | \(0.784428\pi\) | |||||||
\(224\) | −3.27513 | + | 0.133116i | −0.218829 | + | 0.00889419i | ||||
\(225\) | −0.442054 | + | 2.96725i | −0.0294702 | + | 0.197817i | ||||
\(226\) | −0.440034 | − | 0.762161i | −0.0292706 | − | 0.0506982i | ||||
\(227\) | 6.02014 | + | 10.4272i | 0.399571 | + | 0.692077i | 0.993673 | − | 0.112313i | \(-0.0358259\pi\) |
−0.594102 | + | 0.804390i | \(0.702493\pi\) | |||||||
\(228\) | −4.75723 | − | 25.0254i | −0.315055 | − | 1.65735i | ||||
\(229\) | −10.4214 | − | 6.01682i | −0.688668 | − | 0.397603i | 0.114445 | − | 0.993430i | \(-0.463491\pi\) |
−0.803113 | + | 0.595827i | \(0.796824\pi\) | |||||||
\(230\) | −0.00957414 | − | 0.0165829i | −0.000631300 | − | 0.00109344i | ||||
\(231\) | −13.0632 | + | 3.03767i | −0.859493 | + | 0.199864i | ||||
\(232\) | −0.442655 | + | 0.766701i | −0.0290617 | + | 0.0503364i | ||||
\(233\) | 20.9187 | − | 12.0774i | 1.37043 | − | 0.791218i | 0.379448 | − | 0.925213i | \(-0.376114\pi\) |
0.990982 | + | 0.133995i | \(0.0427804\pi\) | |||||||
\(234\) | 0.127635 | − | 0.856743i | 0.00834379 | − | 0.0560071i | ||||
\(235\) | −0.294416 | + | 0.509943i | −0.0192056 | + | 0.0332650i | ||||
\(236\) | −16.1972 | −1.05435 | ||||||||
\(237\) | −5.20121 | + | 14.9051i | −0.337855 | + | 0.968189i | ||||
\(238\) | 0.925209 | − | 1.76432i | 0.0599724 | − | 0.114364i | ||||
\(239\) | −13.7317 | + | 7.92802i | −0.888232 | + | 0.512821i | −0.873364 | − | 0.487069i | \(-0.838066\pi\) |
−0.0148680 | + | 0.999889i | \(0.504733\pi\) | |||||||
\(240\) | 4.45042 | + | 5.16255i | 0.287273 | + | 0.333241i | ||||
\(241\) | 4.43827 | − | 2.56244i | 0.285894 | − | 0.165061i | −0.350194 | − | 0.936677i | \(-0.613885\pi\) |
0.636089 | + | 0.771616i | \(0.280551\pi\) | |||||||
\(242\) | 0.219257 | + | 0.126588i | 0.0140943 | + | 0.00813737i | ||||
\(243\) | 15.4978 | + | 1.67912i | 0.994182 | + | 0.107715i | ||||
\(244\) | 25.1458i | 1.60979i | ||||||||
\(245\) | 2.99648 | − | 6.32622i | 0.191438 | − | 0.404168i | ||||
\(246\) | −0.252034 | − | 1.32583i | −0.0160691 | − | 0.0845317i | ||||
\(247\) | −10.2642 | + | 17.7781i | −0.653095 | + | 1.13119i | ||||
\(248\) | 1.17541 | 0.0746387 | ||||||||
\(249\) | 11.0907 | + | 12.8653i | 0.702842 | + | 0.815306i | ||||
\(250\) | − | 0.103991i | − | 0.00657695i | ||||||
\(251\) | −21.3411 | −1.34704 | −0.673519 | − | 0.739170i | \(-0.735218\pi\) | ||||
−0.673519 | + | 0.739170i | \(0.735218\pi\) | |||||||
\(252\) | −9.31286 | + | 12.7496i | −0.586655 | + | 0.803151i | ||||
\(253\) | −0.538901 | −0.0338804 | ||||||||
\(254\) | − | 0.640200i | − | 0.0401697i | ||||||
\(255\) | −12.3208 | + | 2.34214i | −0.771560 | + | 0.146670i | ||||
\(256\) | 15.1419 | 0.946367 | ||||||||
\(257\) | 5.32111 | − | 9.21643i | 0.331922 | − | 0.574905i | −0.650967 | − | 0.759106i | \(-0.725636\pi\) |
0.982889 | + | 0.184201i | \(0.0589697\pi\) | |||||||
\(258\) | −0.0609911 | + | 0.0525779i | −0.00379714 | + | 0.00327336i | ||||
\(259\) | −5.66018 | + | 3.58202i | −0.351706 | + | 0.222576i | ||||
\(260\) | − | 5.52302i | − | 0.342523i | ||||||
\(261\) | 2.34922 | + | 5.95575i | 0.145413 | + | 0.368651i | ||||
\(262\) | −1.87496 | − | 1.08251i | −0.115836 | − | 0.0668777i | ||||
\(263\) | −9.21740 | + | 5.32167i | −0.568369 | + | 0.328148i | −0.756498 | − | 0.653996i | \(-0.773091\pi\) |
0.188128 | + | 0.982144i | \(0.439758\pi\) | |||||||
\(264\) | −2.06588 | + | 0.392715i | −0.127146 | + | 0.0241700i | ||||
\(265\) | −6.46888 | + | 3.73481i | −0.397380 | + | 0.229428i | ||||
\(266\) | −1.71893 | + | 1.08781i | −0.105394 | + | 0.0666982i | ||||
\(267\) | −27.1582 | + | 5.16267i | −1.66206 | + | 0.315950i | ||||
\(268\) | 6.17328 | 0.377093 | ||||||||
\(269\) | 3.88366 | − | 6.72670i | 0.236791 | − | 0.410134i | −0.723001 | − | 0.690847i | \(-0.757238\pi\) |
0.959792 | + | 0.280713i | \(0.0905710\pi\) | |||||||
\(270\) | −0.539920 | + | 0.0215893i | −0.0328585 | + | 0.00131388i | ||||
\(271\) | −6.45273 | + | 3.72548i | −0.391975 | + | 0.226307i | −0.683016 | − | 0.730404i | \(-0.739332\pi\) |
0.291040 | + | 0.956711i | \(0.405999\pi\) | |||||||
\(272\) | −14.2471 | + | 24.6768i | −0.863860 | + | 1.49625i | ||||
\(273\) | 12.3930 | − | 2.88183i | 0.750057 | − | 0.174416i | ||||
\(274\) | −0.290454 | − | 0.503081i | −0.0175469 | − | 0.0303922i | ||||
\(275\) | −2.53457 | − | 1.46334i | −0.152840 | − | 0.0882424i | ||||
\(276\) | −0.480512 | + | 0.414229i | −0.0289234 | + | 0.0249337i | ||||
\(277\) | 8.48617 | + | 14.6985i | 0.509884 | + | 0.883146i | 0.999934 | + | 0.0114513i | \(0.00364514\pi\) |
−0.490050 | + | 0.871694i | \(0.663022\pi\) | |||||||
\(278\) | −0.749617 | − | 1.29837i | −0.0449590 | − | 0.0778713i | ||||
\(279\) | 5.28845 | − | 6.65482i | 0.316611 | − | 0.398414i | ||||
\(280\) | 0.509726 | − | 0.972017i | 0.0304619 | − | 0.0580891i | ||||
\(281\) | 21.1443 | + | 12.2077i | 1.26136 | + | 0.728249i | 0.973338 | − | 0.229374i | \(-0.0736678\pi\) |
0.288026 | + | 0.957623i | \(0.407001\pi\) | |||||||
\(282\) | −0.100137 | − | 0.0349434i | −0.00596307 | − | 0.00208085i | ||||
\(283\) | − | 27.5665i | − | 1.63866i | −0.573323 | − | 0.819329i | \(-0.694346\pi\) | ||
0.573323 | − | 0.819329i | \(-0.305654\pi\) | |||||||
\(284\) | 11.1884i | 0.663907i | ||||||||
\(285\) | 12.0910 | + | 4.21923i | 0.716209 | + | 0.249925i | ||||
\(286\) | 0.731814 | + | 0.422513i | 0.0432731 | + | 0.0249837i | ||||
\(287\) | 16.7513 | − | 10.6010i | 0.988798 | − | 0.625756i | ||||
\(288\) | −2.31236 | + | 2.90980i | −0.136257 | + | 0.171462i | ||||
\(289\) | −17.7147 | − | 30.6828i | −1.04204 | − | 1.80487i | ||||
\(290\) | −0.110964 | − | 0.192195i | −0.00651602 | − | 0.0112861i | ||||
\(291\) | −2.57410 | + | 2.21903i | −0.150896 | + | 0.130082i | ||||
\(292\) | 22.6744 | + | 13.0911i | 1.32692 | + | 0.766096i | ||||
\(293\) | 9.60393 | + | 16.6345i | 0.561068 | + | 0.971798i | 0.997404 | + | 0.0720141i | \(0.0229427\pi\) |
−0.436336 | + | 0.899784i | \(0.643724\pi\) | |||||||
\(294\) | 1.22021 | + | 0.317426i | 0.0711641 | + | 0.0185127i | ||||
\(295\) | 4.07132 | − | 7.05173i | 0.237041 | − | 0.410567i | ||||
\(296\) | −0.909560 | + | 0.525135i | −0.0528671 | + | 0.0305228i | ||||
\(297\) | −7.07145 | + | 13.4633i | −0.410327 | + | 0.781220i | ||||
\(298\) | −0.0804743 | + | 0.139386i | −0.00466175 | + | 0.00807439i | ||||
\(299\) | 0.511253 | 0.0295665 | ||||||||
\(300\) | −3.38476 | + | 0.643429i | −0.195419 | + | 0.0371484i | ||||
\(301\) | −1.04754 | − | 0.549332i | −0.0603794 | − | 0.0316630i | ||||
\(302\) | 1.37863 | − | 0.795951i | 0.0793311 | − | 0.0458018i | ||||
\(303\) | −9.70825 | + | 1.84550i | −0.557724 | + | 0.106021i | ||||
\(304\) | 25.1973 | − | 14.5477i | 1.44517 | − | 0.834367i | ||||
\(305\) | −10.9476 | − | 6.32062i | −0.626860 | − | 0.361918i | ||||
\(306\) | −0.828876 | − | 2.10137i | −0.0473837 | − | 0.120127i | ||||
\(307\) | 27.5679i | 1.57339i | 0.617345 | + | 0.786693i | \(0.288208\pi\) | ||||
−0.617345 | + | 0.786693i | \(0.711792\pi\) | |||||||
\(308\) | −8.23674 | − | 13.0154i | −0.469332 | − | 0.741622i | ||||
\(309\) | −15.8145 | + | 13.6330i | −0.899654 | + | 0.775555i | ||||
\(310\) | −0.147325 | + | 0.255174i | −0.00836748 | + | 0.0144929i | ||||
\(311\) | 13.5987 | 0.771112 | 0.385556 | − | 0.922684i | \(-0.374010\pi\) | ||||
0.385556 | + | 0.922684i | \(0.374010\pi\) | |||||||
\(312\) | 1.95989 | − | 0.372568i | 0.110957 | − | 0.0210925i | ||||
\(313\) | 13.2687i | 0.749993i | 0.927026 | + | 0.374997i | \(0.122356\pi\) | ||||
−0.927026 | + | 0.374997i | \(0.877644\pi\) | |||||||
\(314\) | −0.460206 | −0.0259709 | ||||||||
\(315\) | −3.20989 | − | 7.25924i | −0.180857 | − | 0.409012i | ||||
\(316\) | −18.1301 | −1.01990 | ||||||||
\(317\) | − | 25.2418i | − | 1.41772i | −0.705349 | − | 0.708861i | \(-0.749210\pi\) | ||
0.705349 | − | 0.708861i | \(-0.250790\pi\) | |||||||
\(318\) | −0.878465 | − | 1.01903i | −0.0492619 | − | 0.0571444i | ||||
\(319\) | −6.24583 | −0.349699 | ||||||||
\(320\) | −3.87082 | + | 6.70445i | −0.216385 | + | 0.374790i | ||||
\(321\) | −0.775465 | − | 4.07933i | −0.0432822 | − | 0.227686i | ||||
\(322\) | 0.0448667 | + | 0.0235281i | 0.00250032 | + | 0.00131117i | ||||
\(323\) | 53.5354i | 2.97879i | ||||||||
\(324\) | 4.04339 | + | 17.4401i | 0.224633 | + | 0.968894i | ||||
\(325\) | 2.40454 | + | 1.38826i | 0.133380 | + | 0.0770069i | ||||
\(326\) | −0.481868 | + | 0.278207i | −0.0266882 | + | 0.0154084i | ||||
\(327\) | 11.6860 | + | 13.5559i | 0.646237 | + | 0.749644i | ||||
\(328\) | 2.69184 | − | 1.55414i | 0.148632 | − | 0.0858129i | ||||
\(329\) | −0.0632679 | − | 1.55662i | −0.00348807 | − | 0.0858190i | ||||
\(330\) | 0.173679 | − | 0.497711i | 0.00956073 | − | 0.0273981i | ||||
\(331\) | −8.35946 | −0.459478 | −0.229739 | − | 0.973252i | \(-0.573787\pi\) | ||||
−0.229739 | + | 0.973252i | \(0.573787\pi\) | |||||||
\(332\) | −9.75376 | + | 16.8940i | −0.535307 | + | 0.927179i | ||||
\(333\) | −1.11917 | + | 7.51236i | −0.0613302 | + | 0.411675i | ||||
\(334\) | −1.84841 | + | 1.06718i | −0.101140 | + | 0.0583934i | ||||
\(335\) | −1.55171 | + | 2.68764i | −0.0847790 | + | 0.146842i | ||||
\(336\) | −17.2539 | − | 5.24516i | −0.941275 | − | 0.286147i | ||||
\(337\) | −6.46876 | − | 11.2042i | −0.352376 | − | 0.610333i | 0.634289 | − | 0.773096i | \(-0.281293\pi\) |
−0.986665 | + | 0.162763i | \(0.947959\pi\) | |||||||
\(338\) | 0.476493 | + | 0.275103i | 0.0259178 | + | 0.0149637i | ||||
\(339\) | −2.73745 | − | 14.4004i | −0.148678 | − | 0.782120i | ||||
\(340\) | −7.20166 | − | 12.4736i | −0.390565 | − | 0.676478i | ||||
\(341\) | 4.14624 | + | 7.18150i | 0.224532 | + | 0.388900i | ||||
\(342\) | −0.339878 | + | 2.28141i | −0.0183785 | + | 0.123364i | ||||
\(343\) | 2.25141 | + | 18.3829i | 0.121565 | + | 0.992583i | ||||
\(344\) | −0.160615 | − | 0.0927314i | −0.00865981 | − | 0.00499974i | ||||
\(345\) | −0.0595607 | − | 0.313319i | −0.00320664 | − | 0.0168685i | ||||
\(346\) | 2.21683i | 0.119178i | ||||||||
\(347\) | 23.8842i | 1.28217i | 0.767469 | + | 0.641086i | \(0.221516\pi\) | ||||
−0.767469 | + | 0.641086i | \(0.778484\pi\) | |||||||
\(348\) | −5.56911 | + | 4.80090i | −0.298535 | + | 0.257355i | ||||
\(349\) | 19.0470 | + | 10.9968i | 1.01956 | + | 0.588644i | 0.913977 | − | 0.405766i | \(-0.132995\pi\) |
0.105585 | + | 0.994410i | \(0.466329\pi\) | |||||||
\(350\) | 0.147130 | + | 0.232490i | 0.00786442 | + | 0.0124271i | ||||
\(351\) | 6.70866 | − | 12.7726i | 0.358082 | − | 0.681750i | ||||
\(352\) | −1.81293 | − | 3.14009i | −0.0966297 | − | 0.167368i | ||||
\(353\) | 4.39642 | + | 7.61483i | 0.233998 | + | 0.405296i | 0.958981 | − | 0.283470i | \(-0.0914858\pi\) |
−0.724983 | + | 0.688767i | \(0.758152\pi\) | |||||||
\(354\) | 1.38474 | + | 0.483213i | 0.0735981 | + | 0.0256825i | ||||
\(355\) | −4.87104 | − | 2.81230i | −0.258528 | − | 0.149261i | ||||
\(356\) | −15.8743 | − | 27.4951i | −0.841336 | − | 1.45724i | ||||
\(357\) | 24.2316 | − | 22.6682i | 1.28247 | − | 1.19973i | ||||
\(358\) | −0.122373 | + | 0.211956i | −0.00646760 | + | 0.0112022i | ||||
\(359\) | −0.261276 | + | 0.150848i | −0.0137896 | + | 0.00796143i | −0.506879 | − | 0.862017i | \(-0.669201\pi\) |
0.493089 | + | 0.869979i | \(0.335868\pi\) | |||||||
\(360\) | −0.456653 | − | 1.15771i | −0.0240677 | − | 0.0610166i | ||||
\(361\) | 17.8324 | − | 30.8866i | 0.938547 | − | 1.62561i | ||||
\(362\) | −0.170883 | −0.00898143 | ||||||||
\(363\) | 2.75333 | + | 3.19390i | 0.144512 | + | 0.167636i | ||||
\(364\) | 7.81417 | + | 12.3477i | 0.409574 | + | 0.647194i | ||||
\(365\) | −11.3988 | + | 6.58111i | −0.596641 | + | 0.344471i | ||||
\(366\) | 0.750177 | − | 2.14978i | 0.0392124 | − | 0.112371i | ||||
\(367\) | 22.8249 | − | 13.1780i | 1.19145 | − | 0.687884i | 0.232814 | − | 0.972521i | \(-0.425207\pi\) |
0.958635 | + | 0.284637i | \(0.0918732\pi\) | |||||||
\(368\) | −0.627532 | − | 0.362306i | −0.0327124 | − | 0.0188865i | ||||
\(369\) | 3.31219 | − | 22.2328i | 0.172426 | − | 1.15739i | ||||
\(370\) | − | 0.263279i | − | 0.0136872i | ||||||
\(371\) | 9.17817 | − | 17.5022i | 0.476507 | − | 0.908671i | ||||
\(372\) | 9.21711 | + | 3.21636i | 0.477885 | + | 0.166761i | ||||
\(373\) | −18.3837 | + | 31.8415i | −0.951872 | + | 1.64869i | −0.210501 | + | 0.977594i | \(0.567510\pi\) |
−0.741370 | + | 0.671096i | \(0.765824\pi\) | |||||||
\(374\) | 2.20372 | 0.113952 | ||||||||
\(375\) | 0.570662 | − | 1.63534i | 0.0294689 | − | 0.0844487i | ||||
\(376\) | − | 0.244270i | − | 0.0125973i | ||||||
\(377\) | 5.92540 | 0.305174 | ||||||||
\(378\) | 1.17654 | − | 0.812166i | 0.0605147 | − | 0.0417733i | ||||
\(379\) | 35.0467 | 1.80023 | 0.900114 | − | 0.435654i | \(-0.143483\pi\) | ||||
0.900114 | + | 0.435654i | \(0.143483\pi\) | |||||||
\(380\) | 14.7072i | 0.754462i | ||||||||
\(381\) | 3.51317 | − | 10.0677i | 0.179985 | − | 0.515783i | ||||
\(382\) | −1.40458 | −0.0718648 | ||||||||
\(383\) | 9.15609 | − | 15.8588i | 0.467855 | − | 0.810348i | −0.531471 | − | 0.847077i | \(-0.678360\pi\) |
0.999325 | + | 0.0367289i | \(0.0116938\pi\) | |||||||
\(384\) | −5.36861 | − | 1.87341i | −0.273966 | − | 0.0956020i | ||||
\(385\) | 7.73686 | − | 0.314461i | 0.394307 | − | 0.0160264i | ||||
\(386\) | 1.63390i | 0.0831632i | ||||||||
\(387\) | −1.24766 | + | 0.492136i | −0.0634223 | + | 0.0250167i | ||||
\(388\) | −3.38016 | − | 1.95154i | −0.171602 | − | 0.0990744i | ||||
\(389\) | −20.6139 | + | 11.9014i | −1.04516 | + | 0.603426i | −0.921292 | − | 0.388872i | \(-0.872865\pi\) |
−0.123872 | + | 0.992298i | \(0.539531\pi\) | |||||||
\(390\) | −0.164769 | + | 0.472177i | −0.00834340 | + | 0.0239096i | ||||
\(391\) | 1.15466 | − | 0.666641i | 0.0583935 | − | 0.0337135i | ||||
\(392\) | 0.235663 | + | 2.89429i | 0.0119028 | + | 0.146184i | ||||
\(393\) | −23.5450 | − | 27.3125i | −1.18769 | − | 1.37773i | ||||
\(394\) | −2.56124 | −0.129033 | ||||||||
\(395\) | 4.55718 | − | 7.89326i | 0.229296 | − | 0.397153i | ||||
\(396\) | −17.2744 | − | 2.57350i | −0.868073 | − | 0.129323i | ||||
\(397\) | 4.81881 | − | 2.78214i | 0.241849 | − | 0.139632i | −0.374177 | − | 0.927357i | \(-0.622075\pi\) |
0.616026 | + | 0.787726i | \(0.288741\pi\) | |||||||
\(398\) | −0.868686 | + | 1.50461i | −0.0435433 | + | 0.0754192i | ||||
\(399\) | −33.0011 | + | 7.67397i | −1.65212 | + | 0.384179i | ||||
\(400\) | −1.96762 | − | 3.40801i | −0.0983808 | − | 0.170401i | ||||
\(401\) | −7.30769 | − | 4.21910i | −0.364929 | − | 0.210692i | 0.306312 | − | 0.951931i | \(-0.400905\pi\) |
−0.671241 | + | 0.741240i | \(0.734238\pi\) | |||||||
\(402\) | −0.527769 | − | 0.184168i | −0.0263227 | − | 0.00918548i | ||||
\(403\) | −3.93353 | − | 6.81307i | −0.195943 | − | 0.339383i | ||||
\(404\) | −5.67459 | − | 9.82867i | −0.282321 | − | 0.488995i | ||||
\(405\) | −8.60918 | − | 2.62337i | −0.427793 | − | 0.130356i | ||||
\(406\) | 0.520003 | + | 0.272690i | 0.0258073 | + | 0.0135334i | ||||
\(407\) | −6.41691 | − | 3.70481i | −0.318075 | − | 0.183640i | ||||
\(408\) | 3.94058 | − | 3.39701i | 0.195088 | − | 0.168177i | ||||
\(409\) | − | 3.83286i | − | 0.189523i | −0.995500 | − | 0.0947614i | \(-0.969791\pi\) | ||
0.995500 | − | 0.0947614i | \(-0.0302088\pi\) | |||||||
\(410\) | 0.779175i | 0.0384807i | ||||||||
\(411\) | −1.80691 | − | 9.50526i | −0.0891284 | − | 0.468860i | ||||
\(412\) | −20.7667 | − | 11.9896i | −1.02310 | − | 0.590687i | ||||
\(413\) | 0.874897 | + | 21.5256i | 0.0430509 | + | 1.05921i | ||||
\(414\) | 0.0534379 | − | 0.0210784i | 0.00262633 | − | 0.00103594i | ||||
\(415\) | −4.90339 | − | 8.49292i | −0.240698 | − | 0.416901i | ||||
\(416\) | 1.71992 | + | 2.97900i | 0.0843262 | + | 0.146057i | ||||
\(417\) | −4.66336 | − | 24.5316i | −0.228366 | − | 1.20132i | ||||
\(418\) | −1.94874 | − | 1.12510i | −0.0953158 | − | 0.0550306i | ||||
\(419\) | 8.65942 | + | 14.9985i | 0.423040 | + | 0.732727i | 0.996235 | − | 0.0866920i | \(-0.0276296\pi\) |
−0.573195 | + | 0.819419i | \(0.694296\pi\) | |||||||
\(420\) | 6.65687 | − | 6.22737i | 0.324822 | − | 0.303865i | ||||
\(421\) | −10.8236 | + | 18.7470i | −0.527510 | + | 0.913673i | 0.471976 | + | 0.881611i | \(0.343541\pi\) |
−0.999486 | + | 0.0320622i | \(0.989793\pi\) | |||||||
\(422\) | −0.672230 | + | 0.388112i | −0.0327236 | + | 0.0188930i | ||||
\(423\) | −1.38298 | − | 1.09903i | −0.0672429 | − | 0.0534366i | ||||
\(424\) | 1.54934 | − | 2.68354i | 0.0752428 | − | 0.130324i | ||||
\(425\) | 7.24081 | 0.351231 | ||||||||
\(426\) | 0.333784 | − | 0.956521i | 0.0161719 | − | 0.0463436i | ||||
\(427\) | 33.4180 | − | 1.35826i | 1.61721 | − | 0.0657307i | ||||
\(428\) | 4.12993 | − | 2.38442i | 0.199628 | − | 0.115255i | ||||
\(429\) | 9.18980 | + | 10.6603i | 0.443688 | + | 0.514684i | ||||
\(430\) | 0.0402627 | − | 0.0232457i | 0.00194164 | − | 0.00112101i | ||||
\(431\) | −26.5015 | − | 15.3007i | −1.27653 | − | 0.737008i | −0.300325 | − | 0.953837i | \(-0.597095\pi\) |
−0.976210 | + | 0.216829i | \(0.930428\pi\) | |||||||
\(432\) | −17.2859 | + | 10.9234i | −0.831669 | + | 0.525552i | ||||
\(433\) | − | 33.9236i | − | 1.63027i | −0.579274 | − | 0.815133i | \(-0.696664\pi\) | ||
0.579274 | − | 0.815133i | \(-0.303336\pi\) | |||||||
\(434\) | −0.0316590 | − | 0.778926i | −0.00151968 | − | 0.0373896i | ||||
\(435\) | −0.690306 | − | 3.63135i | −0.0330976 | − | 0.174110i | ||||
\(436\) | −10.2773 | + | 17.8009i | −0.492195 | + | 0.852507i | ||||
\(437\) | −1.36141 | −0.0651250 | ||||||||
\(438\) | −1.54794 | − | 1.79563i | −0.0739635 | − | 0.0857987i | ||||
\(439\) | − | 0.196382i | − | 0.00937278i | −0.999989 | − | 0.00468639i | \(-0.998508\pi\) | ||
0.999989 | − | 0.00468639i | \(-0.00149173\pi\) | |||||||
\(440\) | 1.21410 | 0.0578798 | ||||||||
\(441\) | 17.4469 | + | 11.6878i | 0.830805 | + | 0.556564i | ||||
\(442\) | −2.09066 | −0.0994426 | ||||||||
\(443\) | − | 6.82671i | − | 0.324347i | −0.986762 | − | 0.162173i | \(-0.948150\pi\) | ||
0.986762 | − | 0.162173i | \(-0.0518504\pi\) | |||||||
\(444\) | −8.56938 | + | 1.62900i | −0.406685 | + | 0.0773091i | ||||
\(445\) | 15.9606 | 0.756605 | ||||||||
\(446\) | −0.561499 | + | 0.972544i | −0.0265877 | + | 0.0460513i | ||||
\(447\) | −2.03042 | + | 1.75034i | −0.0960357 | + | 0.0827884i | ||||
\(448\) | −0.831811 | − | 20.4655i | −0.0392994 | − | 0.966905i | ||||
\(449\) | − | 1.56290i | − | 0.0737579i | −0.999320 | − | 0.0368789i | \(-0.988258\pi\) | ||
0.999320 | − | 0.0368789i | \(-0.0117416\pi\) | |||||||
\(450\) | 0.308567 | + | 0.0459695i | 0.0145460 | + | 0.00216702i | ||||
\(451\) | 18.9909 | + | 10.9644i | 0.894245 | + | 0.516292i | ||||
\(452\) | 14.5790 | − | 8.41718i | 0.685738 | − | 0.395911i | ||||
\(453\) | 26.0480 | − | 4.95161i | 1.22384 | − | 0.232647i | ||||
\(454\) | 1.08433 | − | 0.626039i | 0.0508902 | − | 0.0293815i | ||||
\(455\) | −7.33993 | + | 0.298328i | −0.344101 | + | 0.0139858i | ||||
\(456\) | −5.21897 | + | 0.992106i | −0.244401 | + | 0.0464596i | ||||
\(457\) | 5.59317 | 0.261637 | 0.130819 | − | 0.991406i | \(-0.458239\pi\) | ||||
0.130819 | + | 0.991406i | \(0.458239\pi\) | |||||||
\(458\) | −0.625694 | + | 1.08373i | −0.0292368 | + | 0.0506396i | ||||
\(459\) | −1.50325 | − | 37.5943i | −0.0701658 | − | 1.75475i | ||||
\(460\) | 0.317206 | − | 0.183139i | 0.0147898 | − | 0.00853889i | ||||
\(461\) | −3.97429 | + | 6.88368i | −0.185101 | + | 0.320605i | −0.943611 | − | 0.331057i | \(-0.892595\pi\) |
0.758509 | + | 0.651662i | \(0.225928\pi\) | |||||||
\(462\) | 0.315889 | + | 1.35845i | 0.0146965 | + | 0.0632007i | ||||
\(463\) | 5.54581 | + | 9.60562i | 0.257735 | + | 0.446411i | 0.965635 | − | 0.259902i | \(-0.0836904\pi\) |
−0.707899 | + | 0.706313i | \(0.750357\pi\) | |||||||
\(464\) | −7.27306 | − | 4.19911i | −0.337644 | − | 0.194939i | ||||
\(465\) | −3.71710 | + | 3.20436i | −0.172376 | + | 0.148599i | ||||
\(466\) | −1.25594 | − | 2.17535i | −0.0581803 | − | 0.100771i | ||||
\(467\) | 6.26534 | + | 10.8519i | 0.289925 | + | 0.502165i | 0.973792 | − | 0.227442i | \(-0.0730362\pi\) |
−0.683866 | + | 0.729607i | \(0.739703\pi\) | |||||||
\(468\) | 16.3882 | + | 2.44147i | 0.757545 | + | 0.112857i | ||||
\(469\) | −0.333452 | − | 8.20411i | −0.0153974 | − | 0.378830i | ||||
\(470\) | 0.0530294 | + | 0.0306165i | 0.00244606 | + | 0.00141223i | ||||
\(471\) | −7.23713 | − | 2.52544i | −0.333469 | − | 0.116366i | ||||
\(472\) | 3.37788i | 0.155479i | ||||||||
\(473\) | − | 1.30843i | − | 0.0601618i | ||||||
\(474\) | 1.54999 | + | 0.540878i | 0.0711935 | + | 0.0248434i | ||||
\(475\) | −6.40301 | − | 3.69678i | −0.293790 | − | 0.169620i | ||||
\(476\) | 33.7487 | + | 17.6978i | 1.54687 | + | 0.811179i | ||||
\(477\) | −8.22254 | − | 20.8458i | −0.376484 | − | 0.954464i | ||||
\(478\) | 0.824441 | + | 1.42797i | 0.0377090 | + | 0.0653140i | ||||
\(479\) | 9.12862 | + | 15.8112i | 0.417098 | + | 0.722434i | 0.995646 | − | 0.0932138i | \(-0.0297140\pi\) |
−0.578549 | + | 0.815648i | \(0.696381\pi\) | |||||||
\(480\) | 1.62529 | − | 1.40110i | 0.0741842 | − | 0.0639511i | ||||
\(481\) | 6.08771 | + | 3.51474i | 0.277575 | + | 0.160258i | ||||
\(482\) | −0.266470 | − | 0.461540i | −0.0121374 | − | 0.0210226i | ||||
\(483\) | 0.576453 | + | 0.616211i | 0.0262295 | + | 0.0280386i | ||||
\(484\) | −2.42143 | + | 4.19405i | −0.110065 | + | 0.190638i | ||||
\(485\) | 1.69927 | − | 0.981074i | 0.0771599 | − | 0.0445483i | ||||
\(486\) | 0.174613 | − | 1.61162i | 0.00792060 | − | 0.0731048i | ||||
\(487\) | −8.81372 | + | 15.2658i | −0.399388 | + | 0.691760i | −0.993650 | − | 0.112511i | \(-0.964111\pi\) |
0.594263 | + | 0.804271i | \(0.297444\pi\) | |||||||
\(488\) | 5.24407 | 0.237388 | ||||||||
\(489\) | −9.10447 | + | 1.73072i | −0.411718 | + | 0.0782660i | ||||
\(490\) | −0.657869 | − | 0.311606i | −0.0297195 | − | 0.0140769i | ||||
\(491\) | −22.4180 | + | 12.9430i | −1.01171 | + | 0.584111i | −0.911692 | − | 0.410875i | \(-0.865223\pi\) |
−0.100018 | + | 0.994986i | \(0.531890\pi\) | |||||||
\(492\) | 25.3611 | − | 4.82104i | 1.14337 | − | 0.217349i | ||||
\(493\) | 13.3824 | − | 7.72634i | 0.602714 | − | 0.347977i | ||||
\(494\) | 1.84876 | + | 1.06738i | 0.0831796 | + | 0.0480238i | ||||
\(495\) | 5.46250 | − | 6.87384i | 0.245521 | − | 0.308956i | ||||
\(496\) | 11.1502i | 0.500657i | ||||||||
\(497\) | 14.8690 | − | 0.604343i | 0.666966 | − | 0.0271085i | ||||
\(498\) | 1.33787 | − | 1.15333i | 0.0599516 | − | 0.0516818i | ||||
\(499\) | −8.01638 | + | 13.8848i | −0.358863 | + | 0.621568i | −0.987771 | − | 0.155911i | \(-0.950169\pi\) |
0.628908 | + | 0.777479i | \(0.283502\pi\) | |||||||
\(500\) | 1.98919 | 0.0889591 | ||||||||
\(501\) | −34.9240 | + | 6.63891i | −1.56029 | + | 0.296605i | ||||
\(502\) | 2.21928i | 0.0990512i | ||||||||
\(503\) | 4.02737 | 0.179572 | 0.0897858 | − | 0.995961i | \(-0.471382\pi\) | ||||
0.0897858 | + | 0.995961i | \(0.471382\pi\) | |||||||
\(504\) | 2.65889 | + | 1.94217i | 0.118437 | + | 0.0865111i | ||||
\(505\) | 5.70544 | 0.253889 | ||||||||
\(506\) | 0.0560407i | 0.00249131i | ||||||||
\(507\) | 5.98359 | + | 6.94105i | 0.265741 | + | 0.308263i | ||||
\(508\) | 12.2460 | 0.543330 | ||||||||
\(509\) | −12.3484 | + | 21.3880i | −0.547331 | + | 0.948006i | 0.451125 | + | 0.892461i | \(0.351023\pi\) |
−0.998456 | + | 0.0555448i | \(0.982310\pi\) | |||||||
\(510\) | 0.243561 | + | 1.28125i | 0.0107850 | + | 0.0567348i | ||||
\(511\) | 16.1729 | − | 30.8407i | 0.715445 | − | 1.36431i | ||||
\(512\) | − | 8.14035i | − | 0.359756i | ||||||
\(513\) | −17.8644 | + | 34.0119i | −0.788732 | + | 1.50166i | ||||
\(514\) | −0.958424 | − | 0.553346i | −0.0422743 | − | 0.0244071i | ||||
\(515\) | 10.4398 | − | 6.02741i | 0.460032 | − | 0.265600i | ||||
\(516\) | −1.00574 | − | 1.16667i | −0.0442750 | − | 0.0513596i | ||||
\(517\) | 1.49244 | − | 0.861658i | 0.0656372 | − | 0.0378957i | ||||
\(518\) | 0.372497 | + | 0.588607i | 0.0163666 | + | 0.0258619i | ||||
\(519\) | −12.1651 | + | 34.8615i | −0.533990 | + | 1.53025i | ||||
\(520\) | −1.15181 | −0.0505102 | ||||||||
\(521\) | 12.5314 | − | 21.7049i | 0.549009 | − | 0.950911i | −0.449334 | − | 0.893364i | \(-0.648339\pi\) |
0.998343 | − | 0.0575471i | \(-0.0183280\pi\) | |||||||
\(522\) | 0.619343 | − | 0.244297i | 0.0271079 | − | 0.0106926i | ||||
\(523\) | 15.9386 | − | 9.20215i | 0.696946 | − | 0.402382i | −0.109263 | − | 0.994013i | \(-0.534849\pi\) |
0.806209 | + | 0.591631i | \(0.201516\pi\) | |||||||
\(524\) | 20.7068 | − | 35.8652i | 0.904580 | − | 1.56678i | ||||
\(525\) | 1.03793 | + | 4.46349i | 0.0452988 | + | 0.194803i | ||||
\(526\) | 0.553405 | + | 0.958525i | 0.0241296 | + | 0.0417937i | ||||
\(527\) | −17.7676 | − | 10.2581i | −0.773969 | − | 0.446851i | ||||
\(528\) | −3.72537 | − | 19.5973i | −0.162126 | − | 0.852863i | ||||
\(529\) | −11.4830 | − | 19.8892i | −0.499263 | − | 0.864749i | ||||
\(530\) | 0.388386 | + | 0.672704i | 0.0168704 | + | 0.0292204i | ||||
\(531\) | 19.1245 | + | 15.1979i | 0.829933 | + | 0.659531i | ||||
\(532\) | −20.8082 | − | 32.8804i | −0.902151 | − | 1.42555i | ||||
\(533\) | −18.0166 | − | 10.4019i | −0.780384 | − | 0.450555i | ||||
\(534\) | 0.536870 | + | 2.82420i | 0.0232326 | + | 0.122215i | ||||
\(535\) | 2.39738i | 0.103648i | ||||||||
\(536\) | − | 1.28742i | − | 0.0556080i | ||||||
\(537\) | −3.08755 | + | 2.66165i | −0.133238 | + | 0.114859i | ||||
\(538\) | −0.699514 | − | 0.403865i | −0.0301582 | − | 0.0174118i | ||||
\(539\) | −16.8522 | + | 11.6494i | −0.725875 | + | 0.501776i | ||||
\(540\) | −0.412971 | − | 10.3279i | −0.0177714 | − | 0.444440i | ||||
\(541\) | −16.3146 | − | 28.2578i | −0.701420 | − | 1.21490i | −0.967968 | − | 0.251074i | \(-0.919216\pi\) |
0.266548 | − | 0.963822i | \(-0.414117\pi\) | |||||||
\(542\) | 0.387416 | + | 0.671024i | 0.0166409 | + | 0.0288230i | ||||
\(543\) | −2.68728 | − | 0.937743i | −0.115322 | − | 0.0402424i | ||||
\(544\) | 7.76884 | + | 4.48534i | 0.333086 | + | 0.192307i | ||||
\(545\) | −5.16660 | − | 8.94882i | −0.221313 | − | 0.383325i | ||||
\(546\) | −0.299683 | − | 1.28875i | −0.0128253 | − | 0.0551536i | ||||
\(547\) | 6.87713 | − | 11.9115i | 0.294045 | − | 0.509300i | −0.680718 | − | 0.732546i | \(-0.738332\pi\) |
0.974762 | + | 0.223246i | \(0.0716652\pi\) | |||||||
\(548\) | 9.62317 | − | 5.55594i | 0.411081 | − | 0.237338i | ||||
\(549\) | 23.5943 | − | 29.6903i | 1.00698 | − | 1.26715i | ||||
\(550\) | −0.152173 | + | 0.263572i | −0.00648870 | + | 0.0112388i | ||||
\(551\) | −15.7787 | −0.672194 | ||||||||
\(552\) | 0.0863863 | + | 0.100209i | 0.00367684 | + | 0.00426519i | ||||
\(553\) | 0.979305 | + | 24.0944i | 0.0416443 | + | 1.02460i | ||||
\(554\) | 1.52851 | − | 0.882483i | 0.0649400 | − | 0.0374931i | ||||
\(555\) | 1.44478 | − | 4.14029i | 0.0613274 | − | 0.175745i | ||||
\(556\) | 24.8359 | − | 14.3390i | 1.05328 | − | 0.608110i | ||||
\(557\) | 18.3957 | + | 10.6208i | 0.779451 | + | 0.450016i | 0.836236 | − | 0.548370i | \(-0.184752\pi\) |
−0.0567848 | + | 0.998386i | \(0.518085\pi\) | |||||||
\(558\) | −0.692040 | − | 0.549950i | −0.0292964 | − | 0.0232812i | ||||
\(559\) | 1.24131i | 0.0525017i | ||||||||
\(560\) | 9.22073 | + | 4.83535i | 0.389647 | + | 0.204331i | ||||
\(561\) | 34.6553 | + | 12.0932i | 1.46315 | + | 0.510574i | ||||
\(562\) | 1.26949 | − | 2.19881i | 0.0535500 | − | 0.0927514i | ||||
\(563\) | 7.48251 | 0.315350 | 0.157675 | − | 0.987491i | \(-0.449600\pi\) | ||||
0.157675 | + | 0.987491i | \(0.449600\pi\) | |||||||
\(564\) | 0.668414 | − | 1.91547i | 0.0281453 | − | 0.0806558i | ||||
\(565\) | 8.46294i | 0.356039i | ||||||||
\(566\) | −2.86666 | −0.120495 | ||||||||
\(567\) | 22.9590 | − | 6.31557i | 0.964185 | − | 0.265229i | ||||
\(568\) | 2.33330 | 0.0979030 | ||||||||
\(569\) | 9.27735i | 0.388927i | 0.980910 | + | 0.194463i | \(0.0622966\pi\) | ||||
−0.980910 | + | 0.194463i | \(0.937703\pi\) | |||||||
\(570\) | 0.438761 | − | 1.25735i | 0.0183777 | − | 0.0526647i | ||||
\(571\) | 0.874760 | 0.0366076 | 0.0183038 | − | 0.999832i | \(-0.494173\pi\) | ||||
0.0183038 | + | 0.999832i | \(0.494173\pi\) | |||||||
\(572\) | −8.08203 | + | 13.9985i | −0.337927 | + | 0.585306i | ||||
\(573\) | −22.0883 | − | 7.70783i | −0.922750 | − | 0.321999i | ||||
\(574\) | −1.10240 | − | 1.74198i | −0.0460135 | − | 0.0727089i | ||||
\(575\) | 0.184134i | 0.00767893i | ||||||||
\(576\) | −18.1827 | − | 14.4494i | −0.757612 | − | 0.602059i | ||||
\(577\) | −11.3961 | − | 6.57956i | −0.474427 | − | 0.273911i | 0.243664 | − | 0.969860i | \(-0.421651\pi\) |
−0.718091 | + | 0.695949i | \(0.754984\pi\) | |||||||
\(578\) | −3.19072 | + | 1.84216i | −0.132717 | + | 0.0766240i | ||||
\(579\) | −8.96621 | + | 25.6944i | −0.372623 | + | 1.06782i | ||||
\(580\) | 3.67640 | − | 2.12257i | 0.152654 | − | 0.0881349i | ||||
\(581\) | 22.9785 | + | 12.0499i | 0.953308 | + | 0.499915i | ||||
\(582\) | 0.230758 | + | 0.267683i | 0.00956524 | + | 0.0110958i | ||||
\(583\) | 21.8611 | 0.905395 | ||||||||
\(584\) | 2.73010 | − | 4.72867i | 0.112972 | − | 0.195674i | ||||
\(585\) | −5.18226 | + | 6.52119i | −0.214260 | + | 0.269618i | ||||
\(586\) | 1.72983 | − | 0.998721i | 0.0714588 | − | 0.0412568i | ||||
\(587\) | −9.18223 | + | 15.9041i | −0.378991 | + | 0.656432i | −0.990916 | − | 0.134484i | \(-0.957062\pi\) |
0.611925 | + | 0.790916i | \(0.290396\pi\) | |||||||
\(588\) | −6.07188 | + | 23.3408i | −0.250400 | + | 0.962556i | ||||
\(589\) | 10.4745 | + | 18.1424i | 0.431595 | + | 0.747545i | ||||
\(590\) | −0.733315 | − | 0.423379i | −0.0301901 | − | 0.0174303i | ||||
\(591\) | −40.2776 | − | 14.0551i | −1.65680 | − | 0.578150i | ||||
\(592\) | −4.98152 | − | 8.62825i | −0.204739 | − | 0.354619i | ||||
\(593\) | −14.5682 | − | 25.2329i | −0.598245 | − | 1.03619i | −0.993080 | − | 0.117438i | \(-0.962532\pi\) |
0.394836 | − | 0.918752i | \(-0.370802\pi\) | |||||||
\(594\) | 1.40006 | + | 0.735365i | 0.0574451 | + | 0.0301724i | ||||
\(595\) | −16.1881 | + | 10.2446i | −0.663647 | + | 0.419986i | ||||
\(596\) | −2.66624 | − | 1.53935i | −0.109213 | − | 0.0630543i | ||||
\(597\) | −21.9175 | + | 18.8942i | −0.897025 | + | 0.773288i | ||||
\(598\) | − | 0.0531656i | − | 0.00217410i | ||||||
\(599\) | − | 9.77430i | − | 0.399367i | −0.979860 | − | 0.199683i | \(-0.936009\pi\) | ||
0.979860 | − | 0.199683i | \(-0.0639914\pi\) | |||||||
\(600\) | 0.134185 | + | 0.705881i | 0.00547808 | + | 0.0288175i | ||||
\(601\) | −12.0062 | − | 6.93177i | −0.489742 | − | 0.282753i | 0.234725 | − | 0.972062i | \(-0.424581\pi\) |
−0.724467 | + | 0.689309i | \(0.757914\pi\) | |||||||
\(602\) | −0.0571255 | + | 0.108935i | −0.00232826 | + | 0.00443986i | ||||
\(603\) | −7.28897 | − | 5.79240i | −0.296830 | − | 0.235885i | ||||
\(604\) | 15.2253 | + | 26.3711i | 0.619510 | + | 1.07302i | ||||
\(605\) | −1.21730 | − | 2.10842i | −0.0494902 | − | 0.0857196i | ||||
\(606\) | 0.191915 | + | 1.00957i | 0.00779601 | + | 0.0410109i | ||||
\(607\) | 3.88964 | + | 2.24568i | 0.157876 | + | 0.0911495i | 0.576856 | − | 0.816846i | \(-0.304279\pi\) |
−0.418981 | + | 0.907995i | \(0.637613\pi\) | |||||||
\(608\) | −4.57996 | − | 7.93273i | −0.185742 | − | 0.321714i | ||||
\(609\) | 6.68107 | + | 7.14185i | 0.270730 | + | 0.289403i | ||||
\(610\) | −0.657286 | + | 1.13845i | −0.0266127 | + | 0.0460946i | ||||
\(611\) | −1.41587 | + | 0.817452i | −0.0572799 | + | 0.0330706i | ||||
\(612\) | 40.1960 | − | 15.8551i | 1.62483 | − | 0.640906i | ||||
\(613\) | −10.2897 | + | 17.8222i | −0.415596 | + | 0.719834i | −0.995491 | − | 0.0948577i | \(-0.969760\pi\) |
0.579895 | + | 0.814692i | \(0.303094\pi\) | |||||||
\(614\) | 2.86681 | 0.115695 | ||||||||
\(615\) | −4.27582 | + | 12.2532i | −0.172418 | + | 0.494096i | ||||
\(616\) | −2.71432 | + | 1.71775i | −0.109363 | + | 0.0692100i | ||||
\(617\) | 8.84986 | − | 5.10947i | 0.356282 | − | 0.205700i | −0.311167 | − | 0.950355i | \(-0.600720\pi\) |
0.667449 | + | 0.744656i | \(0.267386\pi\) | |||||||
\(618\) | 1.41771 | + | 1.64456i | 0.0570285 | + | 0.0661539i | ||||
\(619\) | −12.3888 | + | 7.15270i | −0.497949 | + | 0.287491i | −0.727866 | − | 0.685719i | \(-0.759488\pi\) |
0.229917 | + | 0.973210i | \(0.426155\pi\) | |||||||
\(620\) | −4.88109 | − | 2.81810i | −0.196029 | − | 0.113178i | ||||
\(621\) | 0.956026 | − | 0.0382278i | 0.0383640 | − | 0.00153403i | ||||
\(622\) | − | 1.41414i | − | 0.0567019i | ||||||
\(623\) | −35.6827 | + | 22.5816i | −1.42960 | + | 0.904714i | ||||
\(624\) | 3.53424 | + | 18.5919i | 0.141483 | + | 0.744272i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 1.37983 | 0.0551490 | ||||||||
\(627\) | −24.4714 | − | 28.3871i | −0.977293 | − | 1.13367i | ||||
\(628\) | − | 8.80304i | − | 0.351280i | ||||||
\(629\) | 18.3320 | 0.730943 | ||||||||
\(630\) | −0.754894 | + | 0.333799i | −0.0300757 | + | 0.0132989i | ||||
\(631\) | 1.77064 | 0.0704882 | 0.0352441 | − | 0.999379i | \(-0.488779\pi\) | ||||
0.0352441 | + | 0.999379i | \(0.488779\pi\) | |||||||
\(632\) | 3.78098i | 0.150399i | ||||||||
\(633\) | −12.7012 | + | 2.41444i | −0.504827 | + | 0.0959655i | ||||
\(634\) | −2.62492 | −0.104249 | ||||||||
\(635\) | −3.07816 | + | 5.33152i | −0.122153 | + | 0.211575i | ||||
\(636\) | 19.4925 | − | 16.8037i | 0.772929 | − | 0.666310i | ||||
\(637\) | 15.9876 | − | 11.0518i | 0.633452 | − | 0.437887i | ||||
\(638\) | 0.649509i | 0.0257143i | ||||||||
\(639\) | 10.4981 | − | 13.2104i | 0.415297 | − | 0.522596i | ||||
\(640\) | 2.84305 | + | 1.64143i | 0.112381 | + | 0.0648834i | ||||
\(641\) | −29.2397 | + | 16.8815i | −1.15490 | + | 0.666781i | −0.950076 | − | 0.312018i | \(-0.898995\pi\) |
−0.204822 | + | 0.978799i | \(0.565662\pi\) | |||||||
\(642\) | −0.424213 | + | 0.0806412i | −0.0167424 | + | 0.00318265i | ||||
\(643\) | 19.3941 | − | 11.1972i | 0.764827 | − | 0.441573i | −0.0661992 | − | 0.997806i | \(-0.521087\pi\) |
0.831026 | + | 0.556233i | \(0.187754\pi\) | |||||||
\(644\) | −0.450057 | + | 0.858232i | −0.0177347 | + | 0.0338191i | ||||
\(645\) | 0.760729 | − | 0.144611i | 0.0299537 | − | 0.00569407i | ||||
\(646\) | 5.56719 | 0.219038 | ||||||||
\(647\) | −24.0354 | + | 41.6305i | −0.944928 | + | 1.63666i | −0.189032 | + | 0.981971i | \(0.560535\pi\) |
−0.755896 | + | 0.654692i | \(0.772798\pi\) | |||||||
\(648\) | 3.63708 | − | 0.843236i | 0.142878 | − | 0.0331254i | ||||
\(649\) | −20.6381 | + | 11.9154i | −0.810116 | + | 0.467720i | ||||
\(650\) | 0.144366 | − | 0.250050i | 0.00566252 | − | 0.00980777i | ||||
\(651\) | 3.77659 | − | 12.4230i | 0.148016 | − | 0.486896i | ||||
\(652\) | −5.32167 | − | 9.21740i | −0.208413 | − | 0.360981i | ||||
\(653\) | −11.7614 | − | 6.79044i | −0.460259 | − | 0.265731i | 0.251894 | − | 0.967755i | \(-0.418947\pi\) |
−0.712153 | + | 0.702024i | \(0.752280\pi\) | |||||||
\(654\) | 1.40969 | − | 1.21524i | 0.0551232 | − | 0.0475195i | ||||
\(655\) | 10.4097 | + | 18.0301i | 0.406740 | + | 0.704494i | ||||
\(656\) | 14.7428 | + | 25.5353i | 0.575610 | + | 0.996986i | ||||
\(657\) | −14.4889 | − | 36.7324i | −0.565267 | − | 1.43307i | ||||
\(658\) | −0.161874 | + | 0.00657928i | −0.00631050 | + | 0.000256487i | ||||
\(659\) | 31.8718 | + | 18.4012i | 1.24155 | + | 0.716810i | 0.969410 | − | 0.245448i | \(-0.0789349\pi\) |
0.272141 | + | 0.962257i | \(0.412268\pi\) | |||||||
\(660\) | 9.52046 | + | 3.32222i | 0.370583 | + | 0.129317i | ||||
\(661\) | 39.8075i | 1.54833i | 0.632984 | + | 0.774165i | \(0.281830\pi\) | ||||
−0.632984 | + | 0.774165i | \(0.718170\pi\) | |||||||
\(662\) | 0.869307i | 0.0337866i | ||||||||
\(663\) | −32.8774 | − | 11.4728i | −1.27685 | − | 0.445565i | ||||
\(664\) | 3.52319 | + | 2.03412i | 0.136726 | + | 0.0789390i | ||||
\(665\) | 19.5454 | − | 0.794412i | 0.757938 | − | 0.0308060i | ||||
\(666\) | 0.781216 | + | 0.116384i | 0.0302715 | + | 0.00450977i | ||||
\(667\) | 0.196481 | + | 0.340316i | 0.00760779 | + | 0.0131771i | ||||
\(668\) | −20.4135 | − | 35.3572i | −0.789822 | − | 1.36801i | ||||
\(669\) | −14.1670 | + | 12.2128i | −0.547728 | + | 0.472174i | ||||
\(670\) | 0.279490 | + | 0.161364i | 0.0107976 | + | 0.00623402i | ||||
\(671\) | 18.4984 | + | 32.0401i | 0.714122 | + | 1.23690i | ||||
\(672\) | −1.65130 | + | 5.43192i | −0.0637004 | + | 0.209541i | ||||
\(673\) | −14.9975 | + | 25.9765i | −0.578112 | + | 1.00132i | 0.417584 | + | 0.908638i | \(0.362877\pi\) |
−0.995696 | + | 0.0926811i | \(0.970456\pi\) | |||||||
\(674\) | −1.16514 | + | 0.672691i | −0.0448793 | + | 0.0259111i | ||||
\(675\) | 4.60021 | + | 2.41621i | 0.177062 | + | 0.0929999i | ||||
\(676\) | −5.26231 | + | 9.11459i | −0.202397 | + | 0.350561i | ||||
\(677\) | −10.5107 | −0.403958 | −0.201979 | − | 0.979390i | \(-0.564737\pi\) | ||||
−0.201979 | + | 0.979390i | \(0.564737\pi\) | |||||||
\(678\) | −1.49750 | + | 0.284670i | −0.0575113 | + | 0.0109327i | ||||
\(679\) | −2.41096 | + | 4.59755i | −0.0925240 | + | 0.176438i | ||||
\(680\) | −2.60134 | + | 1.50188i | −0.0997568 | + | 0.0575946i | ||||
\(681\) | 20.4875 | − | 3.89459i | 0.785082 | − | 0.149241i | ||||
\(682\) | 0.746810 | − | 0.431171i | 0.0285968 | − | 0.0165104i | ||||
\(683\) | 13.9019 | + | 8.02627i | 0.531942 | + | 0.307117i | 0.741807 | − | 0.670614i | \(-0.233969\pi\) |
−0.209865 | + | 0.977730i | \(0.567302\pi\) | |||||||
\(684\) | −43.6399 | − | 6.50136i | −1.66861 | − | 0.248586i | ||||
\(685\) | 5.58614i | 0.213436i | ||||||||
\(686\) | 1.91165 | − | 0.234126i | 0.0729872 | − | 0.00893899i | ||||
\(687\) | −15.7867 | + | 13.6091i | −0.602300 | + | 0.519218i | ||||
\(688\) | 0.879667 | − | 1.52363i | 0.0335370 | − | 0.0580877i | ||||
\(689\) | −20.7396 | −0.790115 | ||||||||
\(690\) | −0.0325823 | + | 0.00619376i | −0.00124039 | + | 0.000235793i | ||||
\(691\) | − | 12.2307i | − | 0.465278i | −0.972563 | − | 0.232639i | \(-0.925264\pi\) | ||
0.972563 | − | 0.232639i | \(-0.0747361\pi\) | |||||||
\(692\) | −42.4046 | −1.61198 | ||||||||
\(693\) | −2.48702 | + | 23.0962i | −0.0944741 | + | 0.877353i | ||||
\(694\) | 2.48374 | 0.0942814 | ||||||||
\(695\) | 14.4170i | 0.546867i | ||||||||
\(696\) | 1.00121 | + | 1.16142i | 0.0379509 | + | 0.0440235i | ||||
\(697\) | −54.2535 | −2.05500 | ||||||||
\(698\) | 1.14356 | − | 1.98071i | 0.0432845 | − | 0.0749710i | ||||
\(699\) | −7.81321 | − | 41.1014i | −0.295523 | − | 1.55460i | ||||
\(700\) | −4.44717 | + | 2.81437i | −0.168087 | + | 0.106373i | ||||
\(701\) | 43.2427i | 1.63325i | 0.577166 | + | 0.816627i | \(0.304158\pi\) | ||||
−0.577166 | + | 0.816627i | \(0.695842\pi\) | |||||||
\(702\) | −1.32823 | − | 0.697638i | −0.0501309 | − | 0.0263307i | ||||
\(703\) | −16.2109 | − | 9.35935i | −0.611404 | − | 0.352994i | ||||
\(704\) | 19.6217 | − | 11.3286i | 0.739521 | − | 0.426963i | ||||
\(705\) | 0.665919 | + | 0.772476i | 0.0250800 | + | 0.0290931i | ||||
\(706\) | 0.791872 | − | 0.457187i | 0.0298025 | − | 0.0172065i | ||||
\(707\) | −12.7555 | + | 8.07226i | −0.479720 | + | 0.303588i | ||||
\(708\) | −9.24313 | + | 26.4880i | −0.347378 | + | 0.995479i | ||||
\(709\) | 5.70294 | 0.214178 | 0.107089 | − | 0.994249i | \(-0.465847\pi\) | ||||
0.107089 | + | 0.994249i | \(0.465847\pi\) | |||||||
\(710\) | −0.292453 | + | 0.506543i | −0.0109756 | + | 0.0190102i | ||||
\(711\) | 21.4068 | + | 17.0115i | 0.802817 | + | 0.637982i | ||||
\(712\) | −5.73402 | + | 3.31054i | −0.214891 | + | 0.124068i | ||||
\(713\) | 0.260865 | − | 0.451831i | 0.00976946 | − | 0.0169212i | ||||
\(714\) | −2.35728 | − | 2.51986i | −0.0882191 | − | 0.0943035i | ||||
\(715\) | −4.06298 | − | 7.03730i | −0.151947 | − | 0.263180i | ||||
\(716\) | −4.05439 | − | 2.34080i | −0.151520 | − | 0.0874800i | ||||
\(717\) | 5.12884 | + | 26.9803i | 0.191540 | + | 1.00760i | ||||
\(718\) | 0.0156868 | + | 0.0271703i | 0.000585425 | + | 0.00101398i | ||||
\(719\) | −24.4397 | − | 42.3309i | −0.911448 | − | 1.57867i | −0.812020 | − | 0.583630i | \(-0.801632\pi\) |
−0.0994282 | − | 0.995045i | \(-0.531701\pi\) | |||||||
\(720\) | 10.9822 | − | 4.33189i | 0.409283 | − | 0.161440i | ||||
\(721\) | −14.8122 | + | 28.2459i | −0.551634 | + | 1.05193i | ||||
\(722\) | −3.21192 | − | 1.85440i | −0.119535 | − | 0.0690138i | ||||
\(723\) | −1.65771 | − | 8.72038i | −0.0616509 | − | 0.324315i | ||||
\(724\) | − | 3.26874i | − | 0.121482i | ||||||
\(725\) | 2.13411i | 0.0792588i | ||||||||
\(726\) | 0.332136 | − | 0.286321i | 0.0123267 | − | 0.0106264i | ||||
\(727\) | −10.9887 | − | 6.34435i | −0.407550 | − | 0.235299i | 0.282187 | − | 0.959360i | \(-0.408940\pi\) |
−0.689736 | + | 0.724060i | \(0.742274\pi\) | |||||||
\(728\) | 2.57507 | − | 1.62962i | 0.0954384 | − | 0.0603977i | ||||
\(729\) | 11.5899 | − | 24.3859i | 0.429256 | − | 0.903183i | ||||
\(730\) | 0.684375 | + | 1.18537i | 0.0253298 | + | 0.0438726i | ||||
\(731\) | 1.61858 | + | 2.80347i | 0.0598655 | + | 0.103690i | ||||
\(732\) | 41.1220 | + | 14.3497i | 1.51991 | + | 0.530382i | ||||
\(733\) | 30.0914 | + | 17.3733i | 1.11145 | + | 0.641698i | 0.939205 | − | 0.343356i | \(-0.111564\pi\) |
0.172248 | + | 0.985054i | \(0.444897\pi\) | |||||||
\(734\) | −1.37039 | − | 2.37358i | −0.0505819 | − | 0.0876104i | ||||
\(735\) | −8.63556 | − | 8.51041i | −0.318528 | − | 0.313911i | ||||
\(736\) | −0.114062 | + | 0.197562i | −0.00420440 | + | 0.00728223i | ||||
\(737\) | 7.86584 | − | 4.54135i | 0.289742 | − | 0.167283i | ||||
\(738\) | −2.31201 | − | 0.344437i | −0.0851062 | − | 0.0126789i | ||||
\(739\) | 6.28839 | − | 10.8918i | 0.231322 | − | 0.400662i | −0.726875 | − | 0.686770i | \(-0.759028\pi\) |
0.958197 | + | 0.286108i | \(0.0923615\pi\) | |||||||
\(740\) | 5.03613 | 0.185132 | ||||||||
\(741\) | 23.2159 | + | 26.9308i | 0.852858 | + | 0.989327i | ||||
\(742\) | −1.82007 | − | 0.954445i | −0.0668169 | − | 0.0350388i | ||||
\(743\) | 29.1685 | − | 16.8405i | 1.07009 | − | 0.617817i | 0.141884 | − | 0.989883i | \(-0.454684\pi\) |
0.928206 | + | 0.372067i | \(0.121351\pi\) | |||||||
\(744\) | 0.670763 | − | 1.92220i | 0.0245914 | − | 0.0704713i | ||||
\(745\) | 1.34036 | − | 0.773860i | 0.0491072 | − | 0.0283520i | ||||
\(746\) | 3.31122 | + | 1.91173i | 0.121232 | + | 0.0699936i | ||||
\(747\) | 27.3682 | − | 10.7953i | 1.00135 | − | 0.394978i | ||||
\(748\) | 42.1538i | 1.54130i | ||||||||
\(749\) | −3.39190 | − | 5.35976i | −0.123937 | − | 0.195841i | ||||
\(750\) | −0.170061 | − | 0.0593436i | −0.00620973 | − | 0.00216692i | ||||
\(751\) | 26.8558 | − | 46.5156i | 0.979981 | − | 1.69738i | 0.317572 | − | 0.948234i | \(-0.397132\pi\) |
0.662409 | − | 0.749143i | \(-0.269534\pi\) | |||||||
\(752\) | 2.31719 | 0.0844992 | ||||||||
\(753\) | −12.1786 | + | 34.9000i | −0.443811 | + | 1.27183i | ||||
\(754\) | − | 0.616187i | − | 0.0224402i | ||||||
\(755\) | −15.3081 | −0.557119 | ||||||||
\(756\) | 15.5355 | + | 22.5054i | 0.565020 | + | 0.818515i | ||||
\(757\) | 16.9208 | 0.614998 | 0.307499 | − | 0.951548i | \(-0.400508\pi\) | ||||
0.307499 | + | 0.951548i | \(0.400508\pi\) | |||||||
\(758\) | − | 3.64453i | − | 0.132375i | ||||||
\(759\) | −0.307530 | + | 0.881287i | −0.0111626 | + | 0.0319887i | ||||
\(760\) | 3.06713 | 0.111257 | ||||||||
\(761\) | −8.16387 | + | 14.1402i | −0.295940 | + | 0.512583i | −0.975203 | − | 0.221312i | \(-0.928966\pi\) |
0.679263 | + | 0.733895i | \(0.262300\pi\) | |||||||
\(762\) | −1.04695 | − | 0.365338i | −0.0379268 | − | 0.0132348i | ||||
\(763\) | 24.2119 | + | 12.6967i | 0.876531 | + | 0.459653i | ||||
\(764\) | − | 26.8676i | − | 0.972034i | ||||||
\(765\) | −3.20083 | + | 21.4853i | −0.115726 | + | 0.776804i | ||||
\(766\) | −1.64917 | − | 0.952149i | −0.0595870 | − | 0.0344026i | ||||
\(767\) | 19.5793 | − | 11.3041i | 0.706967 | − | 0.408168i | ||||
\(768\) | 8.64089 | − | 24.7621i | 0.311801 | − | 0.893527i | ||||
\(769\) | 38.6374 | − | 22.3073i | 1.39330 | − | 0.804423i | 0.399623 | − | 0.916680i | \(-0.369141\pi\) |
0.993679 | + | 0.112256i | \(0.0358078\pi\) | |||||||
\(770\) | −0.0327010 | − | 0.804562i | −0.00117846 | − | 0.0289944i | ||||
\(771\) | −12.0355 | − | 13.9613i | −0.433447 | − | 0.502804i | ||||
\(772\) | −31.2540 | −1.12485 | ||||||||
\(773\) | 6.98070 | − | 12.0909i | 0.251078 | − | 0.434881i | −0.712745 | − | 0.701424i | \(-0.752548\pi\) |
0.963823 | + | 0.266543i | \(0.0858814\pi\) | |||||||
\(774\) | 0.0511776 | + | 0.129746i | 0.00183954 | + | 0.00466361i | ||||
\(775\) | 2.45381 | − | 1.41671i | 0.0881435 | − | 0.0508897i | ||||
\(776\) | −0.406987 | + | 0.704923i | −0.0146100 | + | 0.0253053i | ||||
\(777\) | 2.62777 | + | 11.3005i | 0.0942709 | + | 0.405402i | ||||
\(778\) | 1.23764 | + | 2.14365i | 0.0443715 | + | 0.0768536i | ||||
\(779\) | 47.9761 | + | 27.6990i | 1.71892 | + | 0.992419i | ||||
\(780\) | −9.03203 | − | 3.15178i | −0.323399 | − | 0.112852i | ||||
\(781\) | 8.23067 | + | 14.2559i | 0.294516 | + | 0.510117i | ||||
\(782\) | −0.0693245 | − | 0.120074i | −0.00247904 | − | 0.00429382i | ||||
\(783\) | 11.0803 | − | 0.443058i | 0.395977 | − | 0.0158336i | ||||
\(784\) | −27.4558 | + | 2.23554i | −0.980563 | + | 0.0798409i | ||||
\(785\) | 3.83255 | + | 2.21273i | 0.136790 | + | 0.0789755i | ||||
\(786\) | −2.84025 | + | 2.44846i | −0.101308 | + | 0.0873336i | ||||
\(787\) | − | 13.1825i | − | 0.469906i | −0.972007 | − | 0.234953i | \(-0.924506\pi\) | ||
0.972007 | − | 0.234953i | \(-0.0754935\pi\) | |||||||
\(788\) | − | 48.9926i | − | 1.74529i | ||||||
\(789\) | 3.44273 | + | 18.1105i | 0.122564 | + | 0.644750i | ||||
\(790\) | −0.820826 | − | 0.473904i | −0.0292037 | − | 0.0168608i | ||||
\(791\) | −11.9737 | − | 18.9204i | −0.425735 | − | 0.672731i | ||||
\(792\) | −0.536695 | + | 3.60253i | −0.0190706 | + | 0.128010i | ||||
\(793\) | −17.5493 | − | 30.3964i | −0.623196 | − | 1.07941i | ||||
\(794\) | −0.289317 | − | 0.501112i | −0.0102675 | − | 0.0177838i | ||||
\(795\) | 2.41615 | + | 12.7102i | 0.0856920 | + | 0.450783i | ||||
\(796\) | −28.7809 | − | 16.6166i | −1.02011 | − | 0.588961i | ||||
\(797\) | 14.1612 | + | 24.5280i | 0.501617 | + | 0.868825i | 0.999998 | + | 0.00186773i | \(0.000594519\pi\) |
−0.498382 | + | 0.866958i | \(0.666072\pi\) | |||||||
\(798\) | 0.798022 | + | 3.43181i | 0.0282497 | + | 0.121485i | ||||
\(799\) | −2.13181 | + | 3.69240i | −0.0754180 | + | 0.130628i | ||||
\(800\) | −1.07292 | + | 0.619453i | −0.0379336 | + | 0.0219010i | ||||
\(801\) | −7.05544 | + | 47.3591i | −0.249292 | + | 1.67335i | ||||
\(802\) | −0.438747 | + | 0.759932i | −0.0154927 | + | 0.0268341i | ||||
\(803\) | 38.5215 | 1.35939 | ||||||||
\(804\) | 3.52286 | − | 10.0954i | 0.124242 | − | 0.356038i | ||||
\(805\) | −0.260520 | − | 0.411664i | −0.00918212 | − | 0.0145093i | ||||
\(806\) | −0.708496 | + | 0.409050i | −0.0249557 | + | 0.0144082i | ||||
\(807\) | −8.78419 | − | 10.1898i | −0.309218 | − | 0.358697i | ||||
\(808\) | −2.04974 | + | 1.18342i | −0.0721096 | + | 0.0416325i | ||||
\(809\) | −16.5879 | − | 9.57704i | −0.583200 | − | 0.336711i | 0.179204 | − | 0.983812i | \(-0.442648\pi\) |
−0.762404 | + | 0.647101i | \(0.775981\pi\) | |||||||
\(810\) | −0.272806 | + | 0.895275i | −0.00958543 | + | 0.0314568i | ||||
\(811\) | 14.6454i | 0.514269i | 0.966376 | + | 0.257134i | \(0.0827783\pi\) | ||||
−0.966376 | + | 0.257134i | \(0.917222\pi\) | |||||||
\(812\) | −5.21614 | + | 9.94687i | −0.183051 | + | 0.349067i | ||||
\(813\) | 2.41011 | + | 12.6784i | 0.0845264 | + | 0.444651i | ||||
\(814\) | −0.385266 | + | 0.667300i | −0.0135036 | + | 0.0233889i | ||||
\(815\) | 5.35060 | 0.187423 | ||||||||
\(816\) | 32.2247 | + | 37.3811i | 1.12809 | + | 1.30860i | ||||
\(817\) | − | 3.30546i | − | 0.115643i | ||||||
\(818\) | −0.398582 | −0.0139361 | ||||||||
\(819\) | 2.35943 | − | 21.9113i | 0.0824451 | − | 0.765643i | ||||
\(820\) | −14.9044 | −0.520485 | ||||||||
\(821\) | 4.73593i | 0.165285i | 0.996579 | + | 0.0826426i | \(0.0263360\pi\) | ||||
−0.996579 | + | 0.0826426i | \(0.973664\pi\) | |||||||
\(822\) | −0.988460 | + | 0.187902i | −0.0344765 | + | 0.00655384i | ||||
\(823\) | −2.76948 | −0.0965379 | −0.0482690 | − | 0.998834i | \(-0.515370\pi\) | ||||
−0.0482690 | + | 0.998834i | \(0.515370\pi\) | |||||||
\(824\) | −2.50040 | + | 4.33083i | −0.0871057 | + | 0.150871i | ||||
\(825\) | −3.83944 | + | 3.30982i | −0.133672 | + | 0.115233i | ||||
\(826\) | 2.23846 | − | 0.0909813i | 0.0778862 | − | 0.00316564i | ||||
\(827\) | − | 5.25434i | − | 0.182711i | −0.995818 | − | 0.0913556i | \(-0.970880\pi\) | ||
0.995818 | − | 0.0913556i | \(-0.0291200\pi\) | |||||||
\(828\) | 0.403197 | + | 1.02219i | 0.0140121 | + | 0.0355234i | ||||
\(829\) | −15.3816 | − | 8.88058i | −0.534226 | − | 0.308435i | 0.208510 | − | 0.978020i | \(-0.433139\pi\) |
−0.742736 | + | 0.669585i | \(0.766472\pi\) | |||||||
\(830\) | −0.883186 | + | 0.509907i | −0.0306558 | + | 0.0176991i | ||||
\(831\) | 28.8798 | − | 5.48993i | 1.00183 | − | 0.190443i | ||||
\(832\) | −18.6151 | + | 10.7474i | −0.645361 | + | 0.372599i | ||||
\(833\) | 21.6970 | − | 45.8070i | 0.751755 | − | 1.58712i | ||||
\(834\) | −2.55106 | + | 0.484947i | −0.0883361 | + | 0.0167923i | ||||
\(835\) | 20.5245 | 0.710279 | ||||||||
\(836\) | 21.5215 | − | 37.2764i | 0.744338 | − | 1.28923i | ||||
\(837\) | −7.86499 | − | 12.4461i | −0.271854 | − | 0.430199i | ||||
\(838\) | 1.55971 | − | 0.900499i | 0.0538793 | − | 0.0311072i | ||||
\(839\) | −8.51777 | + | 14.7532i | −0.294066 | + | 0.509338i | −0.974767 | − | 0.223224i | \(-0.928342\pi\) |
0.680701 | + | 0.732561i | \(0.261675\pi\) | |||||||
\(840\) | −1.29870 | − | 1.38827i | −0.0448094 | − | 0.0478998i | ||||
\(841\) | −12.2228 | − | 21.1705i | −0.421476 | − | 0.730017i | ||||
\(842\) | 1.94952 | + | 1.12555i | 0.0671848 | + | 0.0387891i | ||||
\(843\) | 32.0300 | − | 27.6117i | 1.10317 | − | 0.950999i | ||||
\(844\) | −7.42399 | − | 12.8587i | −0.255544 | − | 0.442616i | ||||
\(845\) | −2.64546 | − | 4.58207i | −0.0910066 | − | 0.157628i | ||||
\(846\) | −0.114289 | + | 0.143817i | −0.00392933 | + | 0.00494454i | ||||
\(847\) | 5.70456 | + | 2.99147i | 0.196011 | + | 0.102788i | ||||
\(848\) | 25.4566 | + | 14.6974i | 0.874182 | + | 0.504709i | ||||
\(849\) | −45.0807 | − | 15.7312i | −1.54716 | − | 0.539892i | ||||
\(850\) | − | 0.752978i | − | 0.0258269i | ||||||
\(851\) | 0.466183i | 0.0159806i | ||||||||
\(852\) | 18.2968 | + | 6.38477i | 0.626838 | + | 0.218739i | ||||
\(853\) | −2.55801 | − | 1.47687i | −0.0875847 | − | 0.0505670i | 0.455568 | − | 0.890201i | \(-0.349436\pi\) |
−0.543153 | + | 0.839634i | \(0.682770\pi\) | |||||||
\(854\) | −0.141246 | − | 3.47516i | −0.00483335 | − | 0.118918i | ||||
\(855\) | 13.7998 | − | 17.3652i | 0.471942 | − | 0.593877i | ||||
\(856\) | −0.497263 | − | 0.861285i | −0.0169961 | − | 0.0294381i | ||||
\(857\) | −19.1804 | − | 33.2214i | −0.655190 | − | 1.13482i | −0.981846 | − | 0.189680i | \(-0.939255\pi\) |
0.326656 | − | 0.945143i | \(-0.394078\pi\) | |||||||
\(858\) | 1.10857 | − | 0.955654i | 0.0378460 | − | 0.0326255i | ||||
\(859\) | −9.09692 | − | 5.25211i | −0.310383 | − | 0.179200i | 0.336715 | − | 0.941607i | \(-0.390684\pi\) |
−0.647098 | + | 0.762407i | \(0.724017\pi\) | |||||||
\(860\) | 0.444655 | + | 0.770165i | 0.0151626 | + | 0.0262624i | ||||
\(861\) | −7.77690 | − | 33.4437i | −0.265036 | − | 1.13976i | ||||
\(862\) | −1.59113 | + | 2.75592i | −0.0541941 | + | 0.0938669i | ||||
\(863\) | −39.3048 | + | 22.6927i | −1.33795 | + | 0.772467i | −0.986504 | − | 0.163740i | \(-0.947644\pi\) |
−0.351449 | + | 0.936207i | \(0.614311\pi\) | |||||||
\(864\) | 3.43895 | + | 5.44202i | 0.116995 | + | 0.185141i | ||||
\(865\) | 10.6588 | − | 18.4616i | 0.362410 | − | 0.627712i | ||||
\(866\) | −3.52775 | −0.119878 | ||||||||
\(867\) | −60.2859 | + | 11.4601i | −2.04742 | + | 0.389206i | ||||
\(868\) | 14.8997 | − | 0.605590i | 0.505728 | − | 0.0205550i | ||||
\(869\) | −23.1010 | + | 13.3374i | −0.783647 | + | 0.452439i | ||||
\(870\) | −0.377627 | + | 0.0717854i | −0.0128028 | + | 0.00243375i | ||||
\(871\) | −7.46230 | + | 4.30836i | −0.252850 | + | 0.145983i | ||||
\(872\) | 3.71231 | + | 2.14331i | 0.125715 | + | 0.0725815i | ||||
\(873\) | 2.15993 | + | 5.47585i | 0.0731024 | + | 0.185329i | ||||
\(874\) | 0.141574i | 0.00478881i | ||||||||
\(875\) | −0.107447 | − | 2.64357i | −0.00363235 | − | 0.0893689i | ||||
\(876\) | 34.3478 | − | 29.6098i | 1.16050 | − | 1.00042i | ||||
\(877\) | −16.7656 | + | 29.0388i | −0.566134 | + | 0.980572i | 0.430810 | + | 0.902443i | \(0.358228\pi\) |
−0.996943 | + | 0.0781294i | \(0.975105\pi\) | |||||||
\(878\) | −0.0204219 | −0.000689205 | ||||||||
\(879\) | 32.6837 | − | 6.21304i | 1.10239 | − | 0.209561i | ||||
\(880\) | 11.5171i | 0.388242i | ||||||||
\(881\) | 55.1097 | 1.85669 | 0.928347 | − | 0.371714i | \(-0.121230\pi\) | ||||
0.928347 | + | 0.371714i | \(0.121230\pi\) | |||||||
\(882\) | 1.21543 | − | 1.81432i | 0.0409256 | − | 0.0610912i | ||||
\(883\) | 3.42725 | 0.115336 | 0.0576680 | − | 0.998336i | \(-0.481634\pi\) | ||||
0.0576680 | + | 0.998336i | \(0.481634\pi\) | |||||||
\(884\) | − | 39.9912i | − | 1.34505i | ||||||
\(885\) | −9.20864 | − | 10.6821i | −0.309545 | − | 0.359077i | ||||
\(886\) | −0.709915 | −0.0238501 | ||||||||
\(887\) | 19.6195 | − | 33.9819i | 0.658757 | − | 1.14100i | −0.322181 | − | 0.946678i | \(-0.604416\pi\) |
0.980938 | − | 0.194322i | \(-0.0622507\pi\) | |||||||
\(888\) | 0.339724 | + | 1.78712i | 0.0114004 | + | 0.0599717i | ||||
\(889\) | −0.661474 | − | 16.2746i | −0.0221851 | − | 0.545834i | ||||
\(890\) | − | 1.65976i | − | 0.0556351i | ||||||
\(891\) | 17.9817 | + | 19.2472i | 0.602410 | + | 0.644807i | ||||
\(892\) | −18.6033 | − | 10.7406i | −0.622885 | − | 0.359623i | ||||
\(893\) | 3.77030 | − | 2.17678i | 0.126168 | − | 0.0728432i | ||||
\(894\) | 0.182020 | + | 0.211145i | 0.00608764 | + | 0.00706175i | ||||
\(895\) | 2.03822 | − | 1.17677i | 0.0681301 | − | 0.0393349i | ||||
\(896\) | −8.67849 | + | 0.352733i | −0.289928 | + | 0.0117840i | ||||
\(897\) | 0.291753 | − | 0.836074i | 0.00974135 | − | 0.0279157i | ||||
\(898\) | −0.162527 | −0.00542361 | ||||||||
\(899\) | 3.02341 | − | 5.23670i | 0.100836 | − | 0.174654i | ||||
\(900\) | −0.879327 | + | 5.90242i | −0.0293109 | + | 0.196747i | ||||
\(901\) | −46.8400 | + | 27.0431i | −1.56047 | + | 0.900936i | ||||
\(902\) | 1.14019 | − | 1.97487i | 0.0379643 | − | 0.0657561i | ||||
\(903\) | −1.49614 | + | 1.39961i | −0.0497884 | + | 0.0465761i | ||||
\(904\) | −1.75538 | − | 3.04040i | −0.0583830 | − | 0.101122i | ||||
\(905\) | 1.42310 | + | 0.821627i | 0.0473054 | + | 0.0273118i | ||||
\(906\) | −0.514922 | − | 2.70875i | −0.0171071 | − | 0.0899921i | ||||
\(907\) | 5.59186 | + | 9.68539i | 0.185675 | + | 0.321598i | 0.943804 | − | 0.330507i | \(-0.107220\pi\) |
−0.758129 | + | 0.652105i | \(0.773886\pi\) | |||||||
\(908\) | 11.9752 | + | 20.7416i | 0.397410 | + | 0.688335i | ||||
\(909\) | −2.52211 | + | 16.9295i | −0.0836531 | + | 0.561515i | ||||
\(910\) | 0.0310233 | + | 0.763285i | 0.00102841 | + | 0.0253027i | ||||
\(911\) | −4.71312 | − | 2.72112i | −0.156153 | − | 0.0901548i | 0.419888 | − | 0.907576i | \(-0.362070\pi\) |
−0.576040 | + | 0.817421i | \(0.695403\pi\) | |||||||
\(912\) | −9.41129 | − | 49.5081i | −0.311639 | − | 1.63938i | ||||
\(913\) | 28.7012i | 0.949872i | ||||||||
\(914\) | − | 0.581638i | − | 0.0192389i | ||||||
\(915\) | −16.5838 | + | 14.2962i | −0.548243 | + | 0.472618i | ||||
\(916\) | −20.7302 | − | 11.9686i | −0.684945 | − | 0.395453i | ||||
\(917\) | −48.7823 | − | 25.5814i | −1.61093 | − | 0.844773i | ||||
\(918\) | −3.90946 | + | 0.156324i | −0.129032 | + | 0.00515947i | ||||
\(919\) | −1.39443 | − | 2.41523i | −0.0459981 | − | 0.0796710i | 0.842110 | − | 0.539306i | \(-0.181313\pi\) |
−0.888108 | + | 0.459635i | \(0.847980\pi\) | |||||||
\(920\) | −0.0381930 | − | 0.0661522i | −0.00125919 | − | 0.00218097i | ||||
\(921\) | 45.0830 | + | 15.7320i | 1.48554 | + | 0.518386i | ||||
\(922\) | 0.715839 | + | 0.413290i | 0.0235749 | + | 0.0136110i | ||||
\(923\) | −7.80841 | − | 13.5246i | −0.257017 | − | 0.445166i | ||||
\(924\) | −25.9850 | + | 6.04249i | −0.854845 | + | 0.198783i | ||||
\(925\) | −1.26588 | + | 2.19256i | −0.0416218 | + | 0.0720911i | ||||
\(926\) | 0.998896 | − | 0.576713i | 0.0328257 | − | 0.0189520i | ||||
\(927\) | 13.2699 | + | 33.6419i | 0.435841 | + | 1.10495i | ||||
\(928\) | −1.32198 | + | 2.28973i | −0.0433961 | + | 0.0751642i | ||||
\(929\) | −12.3464 | −0.405073 | −0.202536 | − | 0.979275i | \(-0.564918\pi\) | ||||
−0.202536 | + | 0.979275i | \(0.564918\pi\) | |||||||
\(930\) | 0.333224 | + | 0.386544i | 0.0109268 | + | 0.0126753i | ||||
\(931\) | −42.5732 | + | 29.4296i | −1.39528 | + | 0.964515i | ||||
\(932\) | 41.6112 | − | 24.0242i | 1.36302 | − | 0.786940i | ||||
\(933\) | 7.76027 | − | 22.2386i | 0.254060 | − | 0.728058i | ||||
\(934\) | 1.12850 | − | 0.651537i | 0.0369255 | − | 0.0213189i | ||||
\(935\) | −18.3524 | − | 10.5957i | −0.600186 | − | 0.346518i | ||||
\(936\) | 0.509161 | − | 3.41771i | 0.0166425 | − | 0.111711i | ||||
\(937\) | − | 12.0267i | − | 0.392894i | −0.980514 | − | 0.196447i | \(-0.937060\pi\) | ||
0.980514 | − | 0.196447i | \(-0.0629403\pi\) | |||||||
\(938\) | −0.853152 | + | 0.0346759i | −0.0278564 | + | 0.00113221i | ||||
\(939\) | 21.6989 | + | 7.57197i | 0.708118 | + | 0.247102i | ||||
\(940\) | −0.585648 | + | 1.01437i | −0.0191017 | + | 0.0330851i | ||||
\(941\) | −13.6425 | −0.444734 | −0.222367 | − | 0.974963i | \(-0.571378\pi\) | ||||
−0.222367 | + | 0.974963i | \(0.571378\pi\) | |||||||
\(942\) | −0.262622 | + | 0.752594i | −0.00855669 | + | 0.0245209i | ||||
\(943\) | − | 1.37967i | − | 0.0449282i | ||||||
\(944\) | −32.0432 | −1.04292 | ||||||||
\(945\) | −13.7031 | + | 1.10669i | −0.445762 | + | 0.0360006i | ||||
\(946\) | −0.136065 | −0.00442385 | ||||||||
\(947\) | 6.31702i | 0.205276i | 0.994719 | + | 0.102638i | \(0.0327282\pi\) | ||||
−0.994719 | + | 0.102638i | \(0.967272\pi\) | |||||||
\(948\) | −10.3462 | + | 29.6490i | −0.336028 | + | 0.962954i | ||||
\(949\) | −36.5452 | −1.18631 | ||||||||
\(950\) | −0.384431 | + | 0.665854i | −0.0124726 | + | 0.0216032i | ||||
\(951\) | −41.2790 | − | 14.4045i | −1.33856 | − | 0.467099i | ||||
\(952\) | 3.69083 | − | 7.03819i | 0.119620 | − | 0.228109i | ||||
\(953\) | − | 41.8480i | − | 1.35559i | −0.735251 | − | 0.677795i | \(-0.762936\pi\) | ||
0.735251 | − | 0.677795i | \(-0.237064\pi\) | |||||||
\(954\) | −2.16777 | + | 0.855068i | −0.0701842 | + | 0.0276839i | ||||
\(955\) | 11.6972 | + | 6.75341i | 0.378514 | + | 0.218535i | ||||
\(956\) | −27.3150 | + | 15.7703i | −0.883429 | + | 0.510048i | ||||
\(957\) | −3.56426 | + | 10.2141i | −0.115216 | + | 0.330174i | ||||
\(958\) | 1.64422 | − | 0.949293i | 0.0531224 | − | 0.0306703i | ||||
\(959\) | −7.90347 | − | 12.4888i | −0.255217 | − | 0.403284i | ||||
\(960\) | 8.75514 | + | 10.1561i | 0.282571 | + | 0.327786i | ||||
\(961\) | 22.9717 | 0.741024 | ||||||||
\(962\) | 0.365500 | − | 0.633065i | 0.0117842 | − | 0.0204108i | ||||
\(963\) | −7.11364 | − | 1.05977i | −0.229234 | − | 0.0341506i | ||||
\(964\) | 8.82855 | − | 5.09717i | 0.284349 | − | 0.164169i | ||||
\(965\) | 7.85597 | − | 13.6069i | 0.252893 | − | 0.438023i | ||||
\(966\) | 0.0640803 | − | 0.0599458i | 0.00206175 | − | 0.00192873i | ||||
\(967\) | 5.58321 | + | 9.67040i | 0.179544 | + | 0.310979i | 0.941724 | − | 0.336385i | \(-0.109204\pi\) |
−0.762180 | + | 0.647365i | \(0.775871\pi\) | |||||||
\(968\) | 0.874655 | + | 0.504982i | 0.0281125 | + | 0.0162307i | ||||
\(969\) | 87.5487 | + | 30.5506i | 2.81247 | + | 0.981428i | ||||
\(970\) | −0.102023 | − | 0.176708i | −0.00327575 | − | 0.00567377i | ||||
\(971\) | 2.71987 | + | 4.71095i | 0.0872847 | + | 0.151182i | 0.906362 | − | 0.422501i | \(-0.138848\pi\) |
−0.819078 | + | 0.573682i | \(0.805514\pi\) | |||||||
\(972\) | 30.8279 | + | 3.34008i | 0.988806 | + | 0.107133i | ||||
\(973\) | −20.3977 | − | 32.2317i | −0.653919 | − | 1.03330i | ||||
\(974\) | 1.58750 | + | 0.916545i | 0.0508669 | + | 0.0293680i | ||||
\(975\) | 3.64246 | − | 3.14002i | 0.116652 | − | 0.100561i | ||||
\(976\) | 49.7462i | 1.59234i | ||||||||
\(977\) | − | 24.4137i | − | 0.781064i | −0.920589 | − | 0.390532i | \(-0.872291\pi\) | ||
0.920589 | − | 0.390532i | \(-0.127709\pi\) | |||||||
\(978\) | 0.179979 | + | 0.946781i | 0.00575510 | + | 0.0302747i | ||||
\(979\) | −40.4533 | − | 23.3557i | −1.29289 | − | 0.746452i | ||||
\(980\) | 5.96056 | − | 12.5840i | 0.190403 | − | 0.401982i | ||||
\(981\) | 28.8373 | − | 11.3748i | 0.920705 | − | 0.363168i | ||||
\(982\) | 1.34596 | + | 2.33126i | 0.0429512 | + | 0.0743936i | ||||
\(983\) | 2.29228 | + | 3.97034i | 0.0731124 | + | 0.126634i | 0.900264 | − | 0.435345i | \(-0.143373\pi\) |
−0.827151 | + | 0.561979i | \(0.810040\pi\) | |||||||
\(984\) | −1.00541 | − | 5.28897i | −0.0320514 | − | 0.168606i | ||||
\(985\) | 21.3297 | + | 12.3147i | 0.679622 | + | 0.392380i | ||||
\(986\) | −0.803468 | − | 1.39165i | −0.0255876 | − | 0.0443191i | ||||
\(987\) | −2.58171 | − | 0.784837i | −0.0821766 | − | 0.0249816i | ||||
\(988\) | −20.4174 | + | 35.3640i | −0.649564 | + | 1.12508i | ||||
\(989\) | −0.0712924 | + | 0.0411607i | −0.00226697 | + | 0.00130883i | ||||
\(990\) | −0.714816 | − | 0.568050i | −0.0227183 | − | 0.0180538i | ||||
\(991\) | 23.9244 | − | 41.4382i | 0.759983 | − | 1.31633i | −0.182876 | − | 0.983136i | \(-0.558541\pi\) |
0.942859 | − | 0.333193i | \(-0.108126\pi\) | |||||||
\(992\) | 3.51034 | 0.111453 | ||||||||
\(993\) | −4.77043 | + | 13.6706i | −0.151385 | + | 0.433823i | ||||
\(994\) | −0.0628461 | − | 1.54624i | −0.00199336 | − | 0.0490437i | ||||
\(995\) | 14.4687 | − | 8.35349i | 0.458687 | − | 0.264823i | ||||
\(996\) | 22.0614 | + | 25.5915i | 0.699041 | + | 0.810898i | ||||
\(997\) | −41.1381 | + | 23.7511i | −1.30286 | + | 0.752204i | −0.980893 | − | 0.194548i | \(-0.937676\pi\) |
−0.321963 | + | 0.946752i | \(0.604343\pi\) | |||||||
\(998\) | 1.44389 | + | 0.833630i | 0.0457055 | + | 0.0263881i | ||||
\(999\) | 11.6466 | + | 6.11725i | 0.368482 | + | 0.193541i |
(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 | 315.2.t.c.101.8 | ✓ | 32 | |
3.2 | odd | 2 | 945.2.t.c.521.9 | 32 | |||
7.5 | odd | 6 | 315.2.be.c.236.8 | yes | 32 | ||
9.4 | even | 3 | 945.2.be.c.206.9 | 32 | |||
9.5 | odd | 6 | 315.2.be.c.311.8 | yes | 32 | ||
21.5 | even | 6 | 945.2.be.c.656.9 | 32 | |||
63.5 | even | 6 | inner | 315.2.t.c.131.9 | yes | 32 | |
63.40 | odd | 6 | 945.2.t.c.341.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.t.c.101.8 | ✓ | 32 | 1.1 | even | 1 | trivial | |
315.2.t.c.131.9 | yes | 32 | 63.5 | even | 6 | inner | |
315.2.be.c.236.8 | yes | 32 | 7.5 | odd | 6 | ||
315.2.be.c.311.8 | yes | 32 | 9.5 | odd | 6 | ||
945.2.t.c.341.8 | 32 | 63.40 | odd | 6 | |||
945.2.t.c.521.9 | 32 | 3.2 | odd | 2 | |||
945.2.be.c.206.9 | 32 | 9.4 | even | 3 | |||
945.2.be.c.656.9 | 32 | 21.5 | even | 6 |