Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 362.6 | ||
Character | \(\chi\) | \(=\) | 605.362 |
Dual form | 605.2.e.c.483.6 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05784 | + | 1.05784i | −0.748004 | + | 0.748004i | −0.974104 | − | 0.226100i | \(-0.927402\pi\) |
0.226100 | + | 0.974104i | \(0.427402\pi\) | |||||||
\(3\) | 1.53861 | − | 1.53861i | 0.888320 | − | 0.888320i | −0.106042 | − | 0.994362i | \(-0.533818\pi\) |
0.994362 | + | 0.106042i | \(0.0338178\pi\) | |||||||
\(4\) | − | 0.238041i | − | 0.119020i | ||||||
\(5\) | −1.92587 | − | 1.13622i | −0.861277 | − | 0.508135i | ||||
\(6\) | 3.25521i | 1.32893i | ||||||||
\(7\) | −1.66576 | + | 1.66576i | −0.629598 | + | 0.629598i | −0.947967 | − | 0.318369i | \(-0.896865\pi\) |
0.318369 | + | 0.947967i | \(0.396865\pi\) | |||||||
\(8\) | −1.86387 | − | 1.86387i | −0.658976 | − | 0.658976i | ||||
\(9\) | − | 1.73467i | − | 0.578224i | ||||||
\(10\) | 3.23920 | − | 0.835322i | 1.02433 | − | 0.264152i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −0.366253 | − | 0.366253i | −0.105728 | − | 0.105728i | ||||
\(13\) | 4.40803 | + | 4.40803i | 1.22257 | + | 1.22257i | 0.966716 | + | 0.255852i | \(0.0823559\pi\) |
0.255852 | + | 0.966716i | \(0.417644\pi\) | |||||||
\(14\) | − | 3.52421i | − | 0.941884i | ||||||
\(15\) | −4.71139 | + | 1.21497i | −1.21648 | + | 0.313703i | ||||
\(16\) | 4.41942 | 1.10485 | ||||||||
\(17\) | −3.57788 | + | 3.57788i | −0.867763 | + | 0.867763i | −0.992224 | − | 0.124462i | \(-0.960280\pi\) |
0.124462 | + | 0.992224i | \(0.460280\pi\) | |||||||
\(18\) | 1.83500 | + | 1.83500i | 0.432514 | + | 0.432514i | ||||
\(19\) | −0.201039 | −0.0461215 | −0.0230607 | − | 0.999734i | \(-0.507341\pi\) | ||||
−0.0230607 | + | 0.999734i | \(0.507341\pi\) | |||||||
\(20\) | −0.270468 | + | 0.458437i | −0.0604784 | + | 0.102510i | ||||
\(21\) | 5.12593i | 1.11857i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.77807 | + | 2.77807i | −0.579267 | + | 0.579267i | −0.934701 | − | 0.355434i | \(-0.884333\pi\) |
0.355434 | + | 0.934701i | \(0.384333\pi\) | |||||||
\(24\) | −5.73555 | −1.17076 | ||||||||
\(25\) | 2.41799 | + | 4.37645i | 0.483598 | + | 0.875290i | ||||
\(26\) | −9.32596 | −1.82897 | ||||||||
\(27\) | 1.94685 | + | 1.94685i | 0.374672 | + | 0.374672i | ||||
\(28\) | 0.396519 | + | 0.396519i | 0.0749350 | + | 0.0749350i | ||||
\(29\) | −2.19713 | −0.407997 | −0.203999 | − | 0.978971i | \(-0.565394\pi\) | ||||
−0.203999 | + | 0.978971i | \(0.565394\pi\) | |||||||
\(30\) | 3.69865 | − | 6.26913i | 0.675278 | − | 1.14458i | ||||
\(31\) | −6.45739 | −1.15978 | −0.579891 | − | 0.814694i | \(-0.696905\pi\) | ||||
−0.579891 | + | 0.814694i | \(0.696905\pi\) | |||||||
\(32\) | −0.947293 | + | 0.947293i | −0.167459 | + | 0.167459i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 7.56963i | − | 1.29818i | ||||||
\(35\) | 5.10073 | − | 1.31537i | 0.862180 | − | 0.222338i | ||||
\(36\) | −0.412922 | −0.0688204 | ||||||||
\(37\) | 6.07431 | + | 6.07431i | 0.998611 | + | 0.998611i | 0.999999 | − | 0.00138797i | \(-0.000441805\pi\) |
−0.00138797 | + | 0.999999i | \(0.500442\pi\) | |||||||
\(38\) | 0.212666 | − | 0.212666i | 0.0344991 | − | 0.0344991i | ||||
\(39\) | 13.5645 | 2.17206 | ||||||||
\(40\) | 1.47180 | + | 5.70734i | 0.232713 | + | 0.902410i | ||||
\(41\) | 2.91702i | 0.455562i | 0.973712 | + | 0.227781i | \(0.0731470\pi\) | ||||
−0.973712 | + | 0.227781i | \(0.926853\pi\) | |||||||
\(42\) | −5.42240 | − | 5.42240i | −0.836695 | − | 0.836695i | ||||
\(43\) | −2.16502 | − | 2.16502i | −0.330163 | − | 0.330163i | 0.522486 | − | 0.852648i | \(-0.325005\pi\) |
−0.852648 | + | 0.522486i | \(0.825005\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.97098 | + | 3.34076i | −0.293816 | + | 0.498011i | ||||
\(46\) | − | 5.87749i | − | 0.866589i | ||||||
\(47\) | 6.27650 | + | 6.27650i | 0.915522 | + | 0.915522i | 0.996700 | − | 0.0811776i | \(-0.0258681\pi\) |
−0.0811776 | + | 0.996700i | \(0.525868\pi\) | |||||||
\(48\) | 6.79978 | − | 6.79978i | 0.981464 | − | 0.981464i | ||||
\(49\) | 1.45048i | 0.207212i | ||||||||
\(50\) | −7.18741 | − | 2.07174i | −1.01645 | − | 0.292988i | ||||
\(51\) | 11.0099i | 1.54170i | ||||||||
\(52\) | 1.04929 | − | 1.04929i | 0.145510 | − | 0.145510i | ||||
\(53\) | −5.53885 | + | 5.53885i | −0.760819 | + | 0.760819i | −0.976470 | − | 0.215651i | \(-0.930813\pi\) |
0.215651 | + | 0.976470i | \(0.430813\pi\) | |||||||
\(54\) | −4.11891 | −0.560513 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.20951 | 0.829781 | ||||||||
\(57\) | −0.309321 | + | 0.309321i | −0.0409706 | + | 0.0409706i | ||||
\(58\) | 2.32421 | − | 2.32421i | 0.305184 | − | 0.305184i | ||||
\(59\) | − | 10.9768i | − | 1.42906i | −0.699604 | − | 0.714531i | \(-0.746640\pi\) | ||
0.699604 | − | 0.714531i | \(-0.253360\pi\) | |||||||
\(60\) | 0.289212 | + | 1.12150i | 0.0373371 | + | 0.144785i | ||||
\(61\) | − | 3.92965i | − | 0.503140i | −0.967839 | − | 0.251570i | \(-0.919053\pi\) | ||
0.967839 | − | 0.251570i | \(-0.0809469\pi\) | |||||||
\(62\) | 6.83087 | − | 6.83087i | 0.867522 | − | 0.867522i | ||||
\(63\) | 2.88955 | + | 2.88955i | 0.364049 | + | 0.364049i | ||||
\(64\) | 6.83467i | 0.854334i | ||||||||
\(65\) | −3.48080 | − | 13.4978i | −0.431741 | − | 1.67420i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.637836 | − | 0.637836i | −0.0779241 | − | 0.0779241i | 0.667071 | − | 0.744995i | \(-0.267548\pi\) |
−0.744995 | + | 0.667071i | \(0.767548\pi\) | |||||||
\(68\) | 0.851681 | + | 0.851681i | 0.103281 | + | 0.103281i | ||||
\(69\) | 8.54875i | 1.02915i | ||||||||
\(70\) | −4.00429 | + | 6.78719i | −0.478604 | + | 0.811224i | ||||
\(71\) | 1.45273 | 0.172408 | 0.0862039 | − | 0.996278i | \(-0.472526\pi\) | ||||
0.0862039 | + | 0.996278i | \(0.472526\pi\) | |||||||
\(72\) | −3.23320 | + | 3.23320i | −0.381036 | + | 0.381036i | ||||
\(73\) | −6.80990 | − | 6.80990i | −0.797039 | − | 0.797039i | 0.185589 | − | 0.982627i | \(-0.440581\pi\) |
−0.982627 | + | 0.185589i | \(0.940581\pi\) | |||||||
\(74\) | −12.8513 | −1.49393 | ||||||||
\(75\) | 10.4540 | + | 3.01332i | 1.20713 | + | 0.347948i | ||||
\(76\) | 0.0478554i | 0.00548940i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −14.3491 | + | 14.3491i | −1.62471 | + | 1.62471i | ||||
\(79\) | −8.04884 | −0.905566 | −0.452783 | − | 0.891621i | \(-0.649569\pi\) | ||||
−0.452783 | + | 0.891621i | \(0.649569\pi\) | |||||||
\(80\) | −8.51125 | − | 5.02145i | −0.951586 | − | 0.561415i | ||||
\(81\) | 11.1949 | 1.24388 | ||||||||
\(82\) | −3.08573 | − | 3.08573i | −0.340762 | − | 0.340762i | ||||
\(83\) | 1.70913 | + | 1.70913i | 0.187601 | + | 0.187601i | 0.794658 | − | 0.607057i | \(-0.207650\pi\) |
−0.607057 | + | 0.794658i | \(0.707650\pi\) | |||||||
\(84\) | 1.22018 | 0.133133 | ||||||||
\(85\) | 10.9558 | − | 2.82527i | 1.18832 | − | 0.306444i | ||||
\(86\) | 4.58048 | 0.493926 | ||||||||
\(87\) | −3.38054 | + | 3.38054i | −0.362432 | + | 0.362432i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 10.2196i | − | 1.08327i | −0.840613 | − | 0.541636i | \(-0.817805\pi\) | ||
0.840613 | − | 0.541636i | \(-0.182195\pi\) | |||||||
\(90\) | −1.44901 | − | 5.61895i | −0.152739 | − | 0.592290i | ||||
\(91\) | −14.6855 | −1.53945 | ||||||||
\(92\) | 0.661293 | + | 0.661293i | 0.0689446 | + | 0.0689446i | ||||
\(93\) | −9.93544 | + | 9.93544i | −1.03026 | + | 1.03026i | ||||
\(94\) | −13.2790 | −1.36963 | ||||||||
\(95\) | 0.387176 | + | 0.228425i | 0.0397234 | + | 0.0234359i | ||||
\(96\) | 2.91504i | 0.297515i | ||||||||
\(97\) | −2.07047 | − | 2.07047i | −0.210225 | − | 0.210225i | 0.594138 | − | 0.804363i | \(-0.297493\pi\) |
−0.804363 | + | 0.594138i | \(0.797493\pi\) | |||||||
\(98\) | −1.53437 | − | 1.53437i | −0.154995 | − | 0.154995i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.04177 | − | 0.575580i | 0.104177 | − | 0.0575580i | ||||
\(101\) | − | 2.48257i | − | 0.247025i | −0.992343 | − | 0.123513i | \(-0.960584\pi\) | ||
0.992343 | − | 0.123513i | \(-0.0394160\pi\) | |||||||
\(102\) | −11.6467 | − | 11.6467i | −1.15320 | − | 1.15320i | ||||
\(103\) | −9.06035 | + | 9.06035i | −0.892743 | + | 0.892743i | −0.994781 | − | 0.102038i | \(-0.967464\pi\) |
0.102038 | + | 0.994781i | \(0.467464\pi\) | |||||||
\(104\) | − | 16.4320i | − | 1.61129i | ||||||
\(105\) | 5.82420 | − | 9.87190i | 0.568384 | − | 0.963399i | ||||
\(106\) | − | 11.7184i | − | 1.13819i | ||||||
\(107\) | −8.80917 | + | 8.80917i | −0.851614 | + | 0.851614i | −0.990332 | − | 0.138718i | \(-0.955702\pi\) |
0.138718 | + | 0.990332i | \(0.455702\pi\) | |||||||
\(108\) | 0.463431 | − | 0.463431i | 0.0445936 | − | 0.0445936i | ||||
\(109\) | 11.1595 | 1.06889 | 0.534445 | − | 0.845203i | \(-0.320521\pi\) | ||||
0.534445 | + | 0.845203i | \(0.320521\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 18.6921 | 1.77417 | ||||||||
\(112\) | −7.36169 | + | 7.36169i | −0.695615 | + | 0.695615i | ||||
\(113\) | −0.108862 | + | 0.108862i | −0.0102409 | + | 0.0102409i | −0.712209 | − | 0.701968i | \(-0.752305\pi\) |
0.701968 | + | 0.712209i | \(0.252305\pi\) | |||||||
\(114\) | − | 0.654424i | − | 0.0612924i | ||||||
\(115\) | 8.50672 | − | 2.19370i | 0.793256 | − | 0.204564i | ||||
\(116\) | 0.523007i | 0.0485600i | ||||||||
\(117\) | 7.64648 | − | 7.64648i | 0.706918 | − | 0.706918i | ||||
\(118\) | 11.6117 | + | 11.6117i | 1.06894 | + | 1.06894i | ||||
\(119\) | − | 11.9198i | − | 1.09268i | ||||||
\(120\) | 11.0459 | + | 6.51687i | 1.00835 | + | 0.594906i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 4.15693 | + | 4.15693i | 0.376351 | + | 0.376351i | ||||
\(123\) | 4.48817 | + | 4.48817i | 0.404684 | + | 0.404684i | ||||
\(124\) | 1.53712i | 0.138038i | ||||||||
\(125\) | 0.315886 | − | 11.1759i | 0.0282537 | − | 0.999601i | ||||
\(126\) | −6.11334 | −0.544620 | ||||||||
\(127\) | 2.49710 | − | 2.49710i | 0.221582 | − | 0.221582i | −0.587582 | − | 0.809164i | \(-0.699920\pi\) |
0.809164 | + | 0.587582i | \(0.199920\pi\) | |||||||
\(128\) | −9.12456 | − | 9.12456i | −0.806505 | − | 0.806505i | ||||
\(129\) | −6.66227 | −0.586580 | ||||||||
\(130\) | 17.9606 | + | 10.5964i | 1.57525 | + | 0.929364i | ||||
\(131\) | 6.36315i | 0.555951i | 0.960588 | + | 0.277976i | \(0.0896634\pi\) | ||||
−0.960588 | + | 0.277976i | \(0.910337\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.334883 | − | 0.334883i | 0.0290380 | − | 0.0290380i | ||||
\(134\) | 1.34945 | 0.116575 | ||||||||
\(135\) | −1.53733 | − | 5.96146i | −0.132313 | − | 0.513081i | ||||
\(136\) | 13.3374 | 1.14367 | ||||||||
\(137\) | −8.01187 | − | 8.01187i | −0.684500 | − | 0.684500i | 0.276511 | − | 0.961011i | \(-0.410822\pi\) |
−0.961011 | + | 0.276511i | \(0.910822\pi\) | |||||||
\(138\) | −9.04319 | − | 9.04319i | −0.769808 | − | 0.769808i | ||||
\(139\) | 9.18304 | 0.778895 | 0.389447 | − | 0.921049i | \(-0.372666\pi\) | ||||
0.389447 | + | 0.921049i | \(0.372666\pi\) | |||||||
\(140\) | −0.313112 | − | 1.21418i | −0.0264628 | − | 0.102617i | ||||
\(141\) | 19.3142 | 1.62655 | ||||||||
\(142\) | −1.53676 | + | 1.53676i | −0.128962 | + | 0.128962i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 7.66624i | − | 0.638853i | ||||||
\(145\) | 4.23140 | + | 2.49644i | 0.351399 | + | 0.207318i | ||||
\(146\) | 14.4075 | 1.19238 | ||||||||
\(147\) | 2.23173 | + | 2.23173i | 0.184070 | + | 0.184070i | ||||
\(148\) | 1.44593 | − | 1.44593i | 0.118855 | − | 0.118855i | ||||
\(149\) | 9.41125 | 0.771000 | 0.385500 | − | 0.922708i | \(-0.374029\pi\) | ||||
0.385500 | + | 0.922708i | \(0.374029\pi\) | |||||||
\(150\) | −14.2463 | + | 7.87106i | −1.16320 | + | 0.642669i | ||||
\(151\) | − | 12.8847i | − | 1.04854i | −0.851552 | − | 0.524270i | \(-0.824338\pi\) | ||
0.851552 | − | 0.524270i | \(-0.175662\pi\) | |||||||
\(152\) | 0.374710 | + | 0.374710i | 0.0303930 | + | 0.0303930i | ||||
\(153\) | 6.20644 | + | 6.20644i | 0.501761 | + | 0.501761i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.4361 | + | 7.33705i | 0.998894 | + | 0.589326i | ||||
\(156\) | − | 3.22891i | − | 0.258520i | ||||||
\(157\) | 12.9704 | + | 12.9704i | 1.03515 | + | 1.03515i | 0.999359 | + | 0.0357947i | \(0.0113962\pi\) |
0.0357947 | + | 0.999359i | \(0.488604\pi\) | |||||||
\(158\) | 8.51437 | − | 8.51437i | 0.677367 | − | 0.677367i | ||||
\(159\) | 17.0443i | 1.35170i | ||||||||
\(160\) | 2.90071 | − | 0.748031i | 0.229321 | − | 0.0591370i | ||||
\(161\) | − | 9.25520i | − | 0.729412i | ||||||
\(162\) | −11.8424 | + | 11.8424i | −0.930428 | + | 0.930428i | ||||
\(163\) | 5.52751 | − | 5.52751i | 0.432948 | − | 0.432948i | −0.456682 | − | 0.889630i | \(-0.650962\pi\) |
0.889630 | + | 0.456682i | \(0.150962\pi\) | |||||||
\(164\) | 0.694369 | 0.0542211 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.61596 | −0.280653 | ||||||||
\(167\) | 15.8787 | − | 15.8787i | 1.22873 | − | 1.22873i | 0.264284 | − | 0.964445i | \(-0.414864\pi\) |
0.964445 | − | 0.264284i | \(-0.0851357\pi\) | |||||||
\(168\) | 9.55405 | − | 9.55405i | 0.737111 | − | 0.737111i | ||||
\(169\) | 25.8615i | 1.98934i | ||||||||
\(170\) | −8.60079 | + | 14.5782i | −0.659651 | + | 1.11809i | ||||
\(171\) | 0.348736i | 0.0266685i | ||||||||
\(172\) | −0.515363 | + | 0.515363i | −0.0392961 | + | 0.0392961i | ||||
\(173\) | 11.3160 | + | 11.3160i | 0.860340 | + | 0.860340i | 0.991377 | − | 0.131038i | \(-0.0418309\pi\) |
−0.131038 | + | 0.991377i | \(0.541831\pi\) | |||||||
\(174\) | − | 7.15213i | − | 0.542202i | ||||||
\(175\) | −11.3179 | − | 3.26233i | −0.855554 | − | 0.246609i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −16.8891 | − | 16.8891i | −1.26946 | − | 1.26946i | ||||
\(178\) | 10.8106 | + | 10.8106i | 0.810292 | + | 0.810292i | ||||
\(179\) | − | 6.76827i | − | 0.505884i | −0.967481 | − | 0.252942i | \(-0.918602\pi\) | ||
0.967481 | − | 0.252942i | \(-0.0813983\pi\) | |||||||
\(180\) | 0.795237 | + | 0.469172i | 0.0592735 | + | 0.0349700i | ||||
\(181\) | 3.98790 | 0.296418 | 0.148209 | − | 0.988956i | \(-0.452649\pi\) | ||||
0.148209 | + | 0.988956i | \(0.452649\pi\) | |||||||
\(182\) | 15.5348 | − | 15.5348i | 1.15152 | − | 1.15152i | ||||
\(183\) | −6.04621 | − | 6.04621i | −0.446949 | − | 0.446949i | ||||
\(184\) | 10.3559 | 0.763447 | ||||||||
\(185\) | −4.79659 | − | 18.6002i | −0.352652 | − | 1.36751i | ||||
\(186\) | − | 21.0202i | − | 1.54127i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 1.49406 | − | 1.49406i | 0.108966 | − | 0.108966i | ||||
\(189\) | −6.48599 | −0.471786 | ||||||||
\(190\) | −0.651206 | + | 0.167932i | −0.0472434 | + | 0.0121831i | ||||
\(191\) | −12.4146 | −0.898293 | −0.449146 | − | 0.893458i | \(-0.648272\pi\) | ||||
−0.449146 | + | 0.893458i | \(0.648272\pi\) | |||||||
\(192\) | 10.5159 | + | 10.5159i | 0.758922 | + | 0.758922i | ||||
\(193\) | −3.92002 | − | 3.92002i | −0.282169 | − | 0.282169i | 0.551804 | − | 0.833974i | \(-0.313940\pi\) |
−0.833974 | + | 0.551804i | \(0.813940\pi\) | |||||||
\(194\) | 4.38045 | 0.314498 | ||||||||
\(195\) | −26.1236 | − | 15.4123i | −1.87075 | − | 1.10370i | ||||
\(196\) | 0.345274 | 0.0246624 | ||||||||
\(197\) | −6.68003 | + | 6.68003i | −0.475933 | + | 0.475933i | −0.903828 | − | 0.427895i | \(-0.859255\pi\) |
0.427895 | + | 0.903828i | \(0.359255\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 3.42575i | − | 0.242845i | −0.992601 | − | 0.121423i | \(-0.961254\pi\) | ||
0.992601 | − | 0.121423i | \(-0.0387456\pi\) | |||||||
\(200\) | 3.65031 | − | 12.6639i | 0.258116 | − | 0.895475i | ||||
\(201\) | −1.96277 | −0.138443 | ||||||||
\(202\) | 2.62616 | + | 2.62616i | 0.184776 | + | 0.184776i | ||||
\(203\) | 3.65990 | − | 3.65990i | 0.256875 | − | 0.256875i | ||||
\(204\) | 2.62082 | 0.183494 | ||||||||
\(205\) | 3.31439 | − | 5.61781i | 0.231487 | − | 0.392365i | ||||
\(206\) | − | 19.1688i | − | 1.33555i | ||||||
\(207\) | 4.81903 | + | 4.81903i | 0.334946 | + | 0.334946i | ||||
\(208\) | 19.4809 | + | 19.4809i | 1.35076 | + | 1.35076i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 4.28180 | + | 16.6039i | 0.295472 | + | 1.14578i | ||||
\(211\) | − | 7.53611i | − | 0.518807i | −0.965769 | − | 0.259404i | \(-0.916474\pi\) | ||
0.965769 | − | 0.259404i | \(-0.0835260\pi\) | |||||||
\(212\) | 1.31847 | + | 1.31847i | 0.0905530 | + | 0.0905530i | ||||
\(213\) | 2.23520 | − | 2.23520i | 0.153153 | − | 0.153153i | ||||
\(214\) | − | 18.6373i | − | 1.27402i | ||||||
\(215\) | 1.70961 | + | 6.62951i | 0.116594 | + | 0.452129i | ||||
\(216\) | − | 7.25735i | − | 0.493800i | ||||||
\(217\) | 10.7565 | − | 10.7565i | 0.730197 | − | 0.730197i | ||||
\(218\) | −11.8050 | + | 11.8050i | −0.799534 | + | 0.799534i | ||||
\(219\) | −20.9556 | −1.41605 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −31.5428 | −2.12180 | ||||||||
\(222\) | −19.7732 | + | 19.7732i | −1.32709 | + | 1.32709i | ||||
\(223\) | −13.9370 | + | 13.9370i | −0.933291 | + | 0.933291i | −0.997910 | − | 0.0646192i | \(-0.979417\pi\) |
0.0646192 | + | 0.997910i | \(0.479417\pi\) | |||||||
\(224\) | − | 3.15593i | − | 0.210864i | ||||||
\(225\) | 7.59170 | − | 4.19441i | 0.506114 | − | 0.279628i | ||||
\(226\) | − | 0.230316i | − | 0.0153204i | ||||||
\(227\) | −3.86247 | + | 3.86247i | −0.256361 | + | 0.256361i | −0.823572 | − | 0.567211i | \(-0.808022\pi\) |
0.567211 | + | 0.823572i | \(0.308022\pi\) | |||||||
\(228\) | 0.0736311 | + | 0.0736311i | 0.00487634 | + | 0.00487634i | ||||
\(229\) | − | 0.421164i | − | 0.0278313i | −0.999903 | − | 0.0139156i | \(-0.995570\pi\) | ||
0.999903 | − | 0.0139156i | \(-0.00442963\pi\) | |||||||
\(230\) | −6.67815 | + | 11.3193i | −0.440344 | + | 0.746373i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.09516 | + | 4.09516i | 0.268861 | + | 0.268861i | ||||
\(233\) | 4.52723 | + | 4.52723i | 0.296589 | + | 0.296589i | 0.839676 | − | 0.543087i | \(-0.182745\pi\) |
−0.543087 | + | 0.839676i | \(0.682745\pi\) | |||||||
\(234\) | 16.1775i | 1.05755i | ||||||||
\(235\) | −4.95625 | − | 19.2193i | −0.323310 | − | 1.25373i | ||||
\(236\) | −2.61293 | −0.170087 | ||||||||
\(237\) | −12.3841 | + | 12.3841i | −0.804432 | + | 0.804432i | ||||
\(238\) | 12.6092 | + | 12.6092i | 0.817332 | + | 0.817332i | ||||
\(239\) | 13.3450 | 0.863214 | 0.431607 | − | 0.902062i | \(-0.357947\pi\) | ||||
0.431607 | + | 0.902062i | \(0.357947\pi\) | |||||||
\(240\) | −20.8216 | + | 5.36945i | −1.34403 | + | 0.346597i | ||||
\(241\) | − | 11.1671i | − | 0.719337i | −0.933080 | − | 0.359668i | \(-0.882890\pi\) | ||
0.933080 | − | 0.359668i | \(-0.117110\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.3841 | − | 11.3841i | 0.730292 | − | 0.730292i | ||||
\(244\) | −0.935416 | −0.0598839 | ||||||||
\(245\) | 1.64807 | − | 2.79345i | 0.105291 | − | 0.178467i | ||||
\(246\) | −9.49551 | −0.605411 | ||||||||
\(247\) | −0.886186 | − | 0.886186i | −0.0563866 | − | 0.0563866i | ||||
\(248\) | 12.0357 | + | 12.0357i | 0.764269 | + | 0.764269i | ||||
\(249\) | 5.25938 | 0.333299 | ||||||||
\(250\) | 11.4881 | + | 12.1564i | 0.726572 | + | 0.768839i | ||||
\(251\) | 1.49555 | 0.0943986 | 0.0471993 | − | 0.998885i | \(-0.484970\pi\) | ||||
0.0471993 | + | 0.998885i | \(0.484970\pi\) | |||||||
\(252\) | 0.687830 | − | 0.687830i | 0.0433292 | − | 0.0433292i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 5.28306i | 0.331489i | ||||||||
\(255\) | 12.5098 | − | 21.2038i | 0.783392 | − | 1.32783i | ||||
\(256\) | 5.63526 | 0.352204 | ||||||||
\(257\) | −0.843193 | − | 0.843193i | −0.0525969 | − | 0.0525969i | 0.680319 | − | 0.732916i | \(-0.261841\pi\) |
−0.732916 | + | 0.680319i | \(0.761841\pi\) | |||||||
\(258\) | 7.04760 | − | 7.04760i | 0.438764 | − | 0.438764i | ||||
\(259\) | −20.2367 | −1.25745 | ||||||||
\(260\) | −3.21303 | + | 0.828573i | −0.199264 | + | 0.0513859i | ||||
\(261\) | 3.81130i | 0.235914i | ||||||||
\(262\) | −6.73118 | − | 6.73118i | −0.415854 | − | 0.415854i | ||||
\(263\) | −2.28570 | − | 2.28570i | −0.140942 | − | 0.140942i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
−0.774058 | + | 0.633115i | \(0.781776\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.9605 | − | 4.37376i | 1.04188 | − | 0.268678i | ||||
\(266\) | 0.708503i | 0.0434411i | ||||||||
\(267\) | −15.7240 | − | 15.7240i | −0.962291 | − | 0.962291i | ||||
\(268\) | −0.151831 | + | 0.151831i | −0.00927455 | + | 0.00927455i | ||||
\(269\) | 12.0339i | 0.733717i | 0.930277 | + | 0.366858i | \(0.119567\pi\) | ||||
−0.930277 | + | 0.366858i | \(0.880433\pi\) | |||||||
\(270\) | 7.93251 | + | 4.68001i | 0.482757 | + | 0.284816i | ||||
\(271\) | 32.8228i | 1.99384i | 0.0783956 | + | 0.996922i | \(0.475020\pi\) | ||||
−0.0783956 | + | 0.996922i | \(0.524980\pi\) | |||||||
\(272\) | −15.8121 | + | 15.8121i | −0.958751 | + | 0.958751i | ||||
\(273\) | −22.5953 | + | 22.5953i | −1.36753 | + | 1.36753i | ||||
\(274\) | 16.9505 | 1.02402 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.03495 | 0.122490 | ||||||||
\(277\) | −13.4492 | + | 13.4492i | −0.808085 | + | 0.808085i | −0.984344 | − | 0.176259i | \(-0.943600\pi\) |
0.176259 | + | 0.984344i | \(0.443600\pi\) | |||||||
\(278\) | −9.71416 | + | 9.71416i | −0.582617 | + | 0.582617i | ||||
\(279\) | 11.2015i | 0.670613i | ||||||||
\(280\) | −11.9587 | − | 7.05540i | −0.714672 | − | 0.421641i | ||||
\(281\) | 8.92482i | 0.532410i | 0.963916 | + | 0.266205i | \(0.0857698\pi\) | ||||
−0.963916 | + | 0.266205i | \(0.914230\pi\) | |||||||
\(282\) | −20.4313 | + | 20.4313i | −1.21667 | + | 1.21667i | ||||
\(283\) | 6.72870 | + | 6.72870i | 0.399980 | + | 0.399980i | 0.878226 | − | 0.478246i | \(-0.158727\pi\) |
−0.478246 | + | 0.878226i | \(0.658727\pi\) | |||||||
\(284\) | − | 0.345810i | − | 0.0205201i | ||||||
\(285\) | 0.947173 | − | 0.244256i | 0.0561057 | − | 0.0144685i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.85906 | − | 4.85906i | −0.286821 | − | 0.286821i | ||||
\(288\) | 1.64324 | + | 1.64324i | 0.0968290 | + | 0.0968290i | ||||
\(289\) | − | 8.60241i | − | 0.506024i | ||||||
\(290\) | −7.11696 | + | 1.83531i | −0.417923 | + | 0.107773i | ||||
\(291\) | −6.37132 | −0.373494 | ||||||||
\(292\) | −1.62103 | + | 1.62103i | −0.0948638 | + | 0.0948638i | ||||
\(293\) | 20.1376 | + | 20.1376i | 1.17645 | + | 1.17645i | 0.980642 | + | 0.195808i | \(0.0627329\pi\) |
0.195808 | + | 0.980642i | \(0.437267\pi\) | |||||||
\(294\) | −4.72162 | −0.275370 | ||||||||
\(295\) | −12.4721 | + | 21.1400i | −0.726156 | + | 1.23082i | ||||
\(296\) | − | 22.6434i | − | 1.31612i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −9.95557 | + | 9.95557i | −0.576711 | + | 0.576711i | ||||
\(299\) | −24.4916 | −1.41639 | ||||||||
\(300\) | 0.717293 | − | 2.48848i | 0.0414129 | − | 0.143673i | ||||
\(301\) | 7.21281 | 0.415740 | ||||||||
\(302\) | 13.6299 | + | 13.6299i | 0.784312 | + | 0.784312i | ||||
\(303\) | −3.81973 | − | 3.81973i | −0.219438 | − | 0.219438i | ||||
\(304\) | −0.888475 | −0.0509575 | ||||||||
\(305\) | −4.46496 | + | 7.56801i | −0.255663 | + | 0.433343i | ||||
\(306\) | −13.1308 | −0.750638 | ||||||||
\(307\) | 16.3606 | − | 16.3606i | 0.933747 | − | 0.933747i | −0.0641908 | − | 0.997938i | \(-0.520447\pi\) |
0.997938 | + | 0.0641908i | \(0.0204466\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 27.8808i | 1.58608i | ||||||||
\(310\) | −20.9168 | + | 5.39400i | −1.18800 | + | 0.306359i | ||||
\(311\) | 7.40894 | 0.420122 | 0.210061 | − | 0.977688i | \(-0.432634\pi\) | ||||
0.210061 | + | 0.977688i | \(0.432634\pi\) | |||||||
\(312\) | −25.2825 | − | 25.2825i | −1.43134 | − | 1.43134i | ||||
\(313\) | 11.8942 | − | 11.8942i | 0.672299 | − | 0.672299i | −0.285946 | − | 0.958246i | \(-0.592308\pi\) |
0.958246 | + | 0.285946i | \(0.0923079\pi\) | |||||||
\(314\) | −27.4412 | −1.54860 | ||||||||
\(315\) | −2.28173 | − | 8.84808i | −0.128561 | − | 0.498533i | ||||
\(316\) | 1.91595i | 0.107781i | ||||||||
\(317\) | −3.37040 | − | 3.37040i | −0.189301 | − | 0.189301i | 0.606093 | − | 0.795394i | \(-0.292736\pi\) |
−0.795394 | + | 0.606093i | \(0.792736\pi\) | |||||||
\(318\) | −18.0301 | − | 18.0301i | −1.01108 | − | 1.01108i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 7.76572 | − | 13.1627i | 0.434117 | − | 0.735819i | ||||
\(321\) | 27.1078i | 1.51301i | ||||||||
\(322\) | 9.79049 | + | 9.79049i | 0.545603 | + | 0.545603i | ||||
\(323\) | 0.719292 | − | 0.719292i | 0.0400225 | − | 0.0400225i | ||||
\(324\) | − | 2.66485i | − | 0.148047i | ||||||
\(325\) | −8.63296 | + | 29.9501i | −0.478871 | + | 1.66133i | ||||
\(326\) | 11.6944i | 0.647694i | ||||||||
\(327\) | 17.1702 | − | 17.1702i | 0.949516 | − | 0.949516i | ||||
\(328\) | 5.43693 | − | 5.43693i | 0.300204 | − | 0.300204i | ||||
\(329\) | −20.9103 | −1.15282 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.635018 | 0.0349037 | 0.0174519 | − | 0.999848i | \(-0.494445\pi\) | ||||
0.0174519 | + | 0.999848i | \(0.494445\pi\) | |||||||
\(332\) | 0.406842 | − | 0.406842i | 0.0223283 | − | 0.0223283i | ||||
\(333\) | 10.5369 | − | 10.5369i | 0.577421 | − | 0.577421i | ||||
\(334\) | 33.5941i | 1.83819i | ||||||||
\(335\) | 0.503668 | + | 1.95312i | 0.0275183 | + | 0.106710i | ||||
\(336\) | 22.6536i | 1.23586i | ||||||||
\(337\) | 1.61144 | − | 1.61144i | 0.0877809 | − | 0.0877809i | −0.661853 | − | 0.749634i | \(-0.730230\pi\) |
0.749634 | + | 0.661853i | \(0.230230\pi\) | |||||||
\(338\) | −27.3572 | − | 27.3572i | −1.48804 | − | 1.48804i | ||||
\(339\) | 0.334993i | 0.0181943i | ||||||||
\(340\) | −0.672530 | − | 2.60793i | −0.0364731 | − | 0.141435i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −0.368906 | − | 0.368906i | −0.0199482 | − | 0.0199482i | ||||
\(343\) | −14.0765 | − | 14.0765i | −0.760059 | − | 0.760059i | ||||
\(344\) | 8.07062i | 0.435139i | ||||||||
\(345\) | 9.71330 | − | 16.4638i | 0.522947 | − | 0.886383i | ||||
\(346\) | −23.9410 | −1.28708 | ||||||||
\(347\) | 13.1056 | − | 13.1056i | 0.703544 | − | 0.703544i | −0.261625 | − | 0.965170i | \(-0.584258\pi\) |
0.965170 | + | 0.261625i | \(0.0842585\pi\) | |||||||
\(348\) | 0.804707 | + | 0.804707i | 0.0431368 | + | 0.0431368i | ||||
\(349\) | −13.9208 | −0.745165 | −0.372582 | − | 0.927999i | \(-0.621528\pi\) | ||||
−0.372582 | + | 0.927999i | \(0.621528\pi\) | |||||||
\(350\) | 15.4235 | − | 8.52150i | 0.824422 | − | 0.455493i | ||||
\(351\) | 17.1636i | 0.916124i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −17.8777 | + | 17.8777i | −0.951536 | + | 0.951536i | −0.998879 | − | 0.0473428i | \(-0.984925\pi\) |
0.0473428 | + | 0.998879i | \(0.484925\pi\) | |||||||
\(354\) | 35.7319 | 1.89913 | ||||||||
\(355\) | −2.79779 | − | 1.65063i | −0.148491 | − | 0.0876065i | ||||
\(356\) | −2.43267 | −0.128931 | ||||||||
\(357\) | −18.3399 | − | 18.3399i | −0.970653 | − | 0.970653i | ||||
\(358\) | 7.15973 | + | 7.15973i | 0.378404 | + | 0.378404i | ||||
\(359\) | −1.44158 | −0.0760838 | −0.0380419 | − | 0.999276i | \(-0.512112\pi\) | ||||
−0.0380419 | + | 0.999276i | \(0.512112\pi\) | |||||||
\(360\) | 9.90037 | − | 2.55310i | 0.521795 | − | 0.134560i | ||||
\(361\) | −18.9596 | −0.997873 | ||||||||
\(362\) | −4.21855 | + | 4.21855i | −0.221722 | + | 0.221722i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.49574i | 0.183226i | ||||||||
\(365\) | 5.37744 | + | 20.8526i | 0.281468 | + | 1.09147i | ||||
\(366\) | 12.7918 | 0.668640 | ||||||||
\(367\) | −10.6753 | − | 10.6753i | −0.557248 | − | 0.557248i | 0.371275 | − | 0.928523i | \(-0.378921\pi\) |
−0.928523 | + | 0.371275i | \(0.878921\pi\) | |||||||
\(368\) | −12.2774 | + | 12.2774i | −0.640006 | + | 0.640006i | ||||
\(369\) | 5.06007 | 0.263417 | ||||||||
\(370\) | 24.7499 | + | 14.6019i | 1.28669 | + | 0.759118i | ||||
\(371\) | − | 18.4528i | − | 0.958021i | ||||||
\(372\) | 2.36504 | + | 2.36504i | 0.122622 | + | 0.122622i | ||||
\(373\) | 16.3505 | + | 16.3505i | 0.846595 | + | 0.846595i | 0.989707 | − | 0.143111i | \(-0.0457107\pi\) |
−0.143111 | + | 0.989707i | \(0.545711\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.7093 | − | 17.6814i | −0.862867 | − | 0.913063i | ||||
\(376\) | − | 23.3971i | − | 1.20661i | ||||||
\(377\) | −9.68503 | − | 9.68503i | −0.498805 | − | 0.498805i | ||||
\(378\) | 6.86112 | − | 6.86112i | 0.352898 | − | 0.352898i | ||||
\(379\) | 14.9740i | 0.769162i | 0.923091 | + | 0.384581i | \(0.125654\pi\) | ||||
−0.923091 | + | 0.384581i | \(0.874346\pi\) | |||||||
\(380\) | 0.0543745 | − | 0.0921636i | 0.00278935 | − | 0.00472789i | ||||
\(381\) | − | 7.68416i | − | 0.393672i | ||||||
\(382\) | 13.1327 | − | 13.1327i | 0.671927 | − | 0.671927i | ||||
\(383\) | 7.23757 | − | 7.23757i | 0.369823 | − | 0.369823i | −0.497590 | − | 0.867412i | \(-0.665781\pi\) |
0.867412 | + | 0.497590i | \(0.165781\pi\) | |||||||
\(384\) | −28.0784 | −1.43287 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 8.29350 | 0.422128 | ||||||||
\(387\) | −3.75560 | + | 3.75560i | −0.190908 | + | 0.190908i | ||||
\(388\) | −0.492857 | + | 0.492857i | −0.0250210 | + | 0.0250210i | ||||
\(389\) | − | 14.6390i | − | 0.742225i | −0.928588 | − | 0.371112i | \(-0.878976\pi\) | ||
0.928588 | − | 0.371112i | \(-0.121024\pi\) | |||||||
\(390\) | 43.9383 | − | 11.3307i | 2.22490 | − | 0.573755i | ||||
\(391\) | − | 19.8792i | − | 1.00533i | ||||||
\(392\) | 2.70350 | − | 2.70350i | 0.136548 | − | 0.136548i | ||||
\(393\) | 9.79044 | + | 9.79044i | 0.493862 | + | 0.493862i | ||||
\(394\) | − | 14.1328i | − | 0.711999i | ||||||
\(395\) | 15.5011 | + | 9.14529i | 0.779943 | + | 0.460150i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.9376 | − | 14.9376i | −0.749697 | − | 0.749697i | 0.224725 | − | 0.974422i | \(-0.427852\pi\) |
−0.974422 | + | 0.224725i | \(0.927852\pi\) | |||||||
\(398\) | 3.62389 | + | 3.62389i | 0.181649 | + | 0.181649i | ||||
\(399\) | − | 1.03051i | − | 0.0515901i | ||||||
\(400\) | 10.6861 | + | 19.3414i | 0.534305 | + | 0.967069i | ||||
\(401\) | 27.9673 | 1.39662 | 0.698310 | − | 0.715796i | \(-0.253936\pi\) | ||||
0.698310 | + | 0.715796i | \(0.253936\pi\) | |||||||
\(402\) | 2.07629 | − | 2.07629i | 0.103556 | − | 0.103556i | ||||
\(403\) | −28.4644 | − | 28.4644i | −1.41791 | − | 1.41791i | ||||
\(404\) | −0.590954 | −0.0294011 | ||||||||
\(405\) | −21.5600 | − | 12.7200i | −1.07133 | − | 0.632059i | ||||
\(406\) | 7.74316i | 0.384287i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 20.5211 | − | 20.5211i | 1.01594 | − | 1.01594i | ||||
\(409\) | 29.5127 | 1.45931 | 0.729654 | − | 0.683817i | \(-0.239681\pi\) | ||||
0.729654 | + | 0.683817i | \(0.239681\pi\) | |||||||
\(410\) | 2.43665 | + | 9.44882i | 0.120338 | + | 0.466644i | ||||
\(411\) | −24.6544 | −1.21611 | ||||||||
\(412\) | 2.15673 | + | 2.15673i | 0.106255 | + | 0.106255i | ||||
\(413\) | 18.2848 | + | 18.2848i | 0.899735 | + | 0.899735i | ||||
\(414\) | −10.1955 | −0.501082 | ||||||||
\(415\) | −1.34961 | − | 5.23352i | −0.0662499 | − | 0.256903i | ||||
\(416\) | −8.35139 | −0.409461 | ||||||||
\(417\) | 14.1292 | − | 14.1292i | 0.691908 | − | 0.691908i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.6856i | 1.20597i | 0.797751 | + | 0.602986i | \(0.206023\pi\) | ||||
−0.797751 | + | 0.602986i | \(0.793977\pi\) | |||||||
\(420\) | −2.34991 | − | 1.38640i | −0.114664 | − | 0.0676493i | ||||
\(421\) | −11.0011 | −0.536160 | −0.268080 | − | 0.963397i | \(-0.586389\pi\) | ||||
−0.268080 | + | 0.963397i | \(0.586389\pi\) | |||||||
\(422\) | 7.97198 | + | 7.97198i | 0.388070 | + | 0.388070i | ||||
\(423\) | 10.8877 | − | 10.8877i | 0.529377 | − | 0.529377i | ||||
\(424\) | 20.6474 | 1.00272 | ||||||||
\(425\) | −24.3097 | − | 7.00714i | −1.17919 | − | 0.339896i | ||||
\(426\) | 4.72895i | 0.229119i | ||||||||
\(427\) | 6.54585 | + | 6.54585i | 0.316776 | + | 0.316776i | ||||
\(428\) | 2.09694 | + | 2.09694i | 0.101359 | + | 0.101359i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.82143 | − | 5.20445i | −0.425407 | − | 0.250981i | ||||
\(431\) | 17.4183i | 0.839008i | 0.907753 | + | 0.419504i | \(0.137796\pi\) | ||||
−0.907753 | + | 0.419504i | \(0.862204\pi\) | |||||||
\(432\) | 8.60396 | + | 8.60396i | 0.413958 | + | 0.413958i | ||||
\(433\) | −19.0746 | + | 19.0746i | −0.916668 | + | 0.916668i | −0.996785 | − | 0.0801174i | \(-0.974470\pi\) |
0.0801174 | + | 0.996785i | \(0.474470\pi\) | |||||||
\(434\) | 22.7572i | 1.09238i | ||||||||
\(435\) | 10.3516 | − | 2.66945i | 0.496319 | − | 0.127990i | ||||
\(436\) | − | 2.65642i | − | 0.127220i | ||||||
\(437\) | 0.558500 | − | 0.558500i | 0.0267167 | − | 0.0267167i | ||||
\(438\) | 22.1677 | − | 22.1677i | 1.05921 | − | 1.05921i | ||||
\(439\) | 40.2775 | 1.92234 | 0.961169 | − | 0.275959i | \(-0.0889953\pi\) | ||||
0.961169 | + | 0.275959i | \(0.0889953\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.51611 | 0.119815 | ||||||||
\(442\) | 33.3671 | − | 33.3671i | 1.58711 | − | 1.58711i | ||||
\(443\) | 15.3250 | − | 15.3250i | 0.728111 | − | 0.728111i | −0.242132 | − | 0.970243i | \(-0.577847\pi\) |
0.970243 | + | 0.242132i | \(0.0778467\pi\) | |||||||
\(444\) | − | 4.44947i | − | 0.211163i | ||||||
\(445\) | −11.6117 | + | 19.6816i | −0.550448 | + | 0.932997i | ||||
\(446\) | − | 29.4862i | − | 1.39621i | ||||||
\(447\) | 14.4803 | − | 14.4803i | 0.684894 | − | 0.684894i | ||||
\(448\) | −11.3849 | − | 11.3849i | −0.537887 | − | 0.537887i | ||||
\(449\) | 23.9526i | 1.13040i | 0.824956 | + | 0.565198i | \(0.191200\pi\) | ||||
−0.824956 | + | 0.565198i | \(0.808800\pi\) | |||||||
\(450\) | −3.59378 | + | 12.4678i | −0.169412 | + | 0.587738i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.0259135 | + | 0.0259135i | 0.00121887 | + | 0.00121887i | ||||
\(453\) | −19.8246 | − | 19.8246i | −0.931439 | − | 0.931439i | ||||
\(454\) | − | 8.17174i | − | 0.383519i | ||||||
\(455\) | 28.2823 | + | 16.6860i | 1.32590 | + | 0.782250i | ||||
\(456\) | 1.15307 | 0.0539973 | ||||||||
\(457\) | −6.59968 | + | 6.59968i | −0.308720 | + | 0.308720i | −0.844413 | − | 0.535693i | \(-0.820050\pi\) |
0.535693 | + | 0.844413i | \(0.320050\pi\) | |||||||
\(458\) | 0.445523 | + | 0.445523i | 0.0208179 | + | 0.0208179i | ||||
\(459\) | −13.9312 | −0.650253 | ||||||||
\(460\) | −0.522191 | − | 2.02495i | −0.0243473 | − | 0.0944136i | ||||
\(461\) | 39.9758i | 1.86186i | 0.365198 | + | 0.930930i | \(0.381001\pi\) | ||||
−0.365198 | + | 0.930930i | \(0.618999\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.4793 | − | 24.4793i | 1.13765 | − | 1.13765i | 0.148778 | − | 0.988871i | \(-0.452466\pi\) |
0.988871 | − | 0.148778i | \(-0.0475341\pi\) | |||||||
\(464\) | −9.71005 | −0.450778 | ||||||||
\(465\) | 30.4233 | − | 7.84553i | 1.41085 | − | 0.363828i | ||||
\(466\) | −9.57815 | −0.443699 | ||||||||
\(467\) | −13.8781 | − | 13.8781i | −0.642203 | − | 0.642203i | 0.308894 | − | 0.951097i | \(-0.400041\pi\) |
−0.951097 | + | 0.308894i | \(0.900041\pi\) | |||||||
\(468\) | −1.82017 | − | 1.82017i | −0.0841376 | − | 0.0841376i | ||||
\(469\) | 2.12496 | 0.0981218 | ||||||||
\(470\) | 25.5738 | + | 15.0880i | 1.17963 | + | 0.695956i | ||||
\(471\) | 39.9130 | 1.83909 | ||||||||
\(472\) | −20.4593 | + | 20.4593i | −0.941718 | + | 0.941718i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 26.2007i | − | 1.20344i | ||||||
\(475\) | −0.486110 | − | 0.879837i | −0.0223042 | − | 0.0403697i | ||||
\(476\) | −2.83739 | −0.130052 | ||||||||
\(477\) | 9.60808 | + | 9.60808i | 0.439924 | + | 0.439924i | ||||
\(478\) | −14.1168 | + | 14.1168i | −0.645687 | + | 0.645687i | ||||
\(479\) | −28.2011 | −1.28854 | −0.644270 | − | 0.764798i | \(-0.722839\pi\) | ||||
−0.644270 | + | 0.764798i | \(0.722839\pi\) | |||||||
\(480\) | 3.31214 | − | 5.61400i | 0.151178 | − | 0.256243i | ||||
\(481\) | 53.5515i | 2.44174i | ||||||||
\(482\) | 11.8130 | + | 11.8130i | 0.538067 | + | 0.538067i | ||||
\(483\) | −14.2402 | − | 14.2402i | −0.647951 | − | 0.647951i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.63495 | + | 6.34000i | 0.0742393 | + | 0.287884i | ||||
\(486\) | 24.0851i | 1.09252i | ||||||||
\(487\) | 27.7543 | + | 27.7543i | 1.25767 | + | 1.25767i | 0.952205 | + | 0.305461i | \(0.0988106\pi\) |
0.305461 | + | 0.952205i | \(0.401189\pi\) | |||||||
\(488\) | −7.32434 | + | 7.32434i | −0.331557 | + | 0.331557i | ||||
\(489\) | − | 17.0094i | − | 0.769193i | ||||||
\(490\) | 1.21162 | + | 4.69840i | 0.0547354 | + | 0.212252i | ||||
\(491\) | 24.2459i | 1.09420i | 0.837066 | + | 0.547102i | \(0.184269\pi\) | ||||
−0.837066 | + | 0.547102i | \(0.815731\pi\) | |||||||
\(492\) | 1.06837 | − | 1.06837i | 0.0481657 | − | 0.0481657i | ||||
\(493\) | 7.86107 | − | 7.86107i | 0.354045 | − | 0.354045i | ||||
\(494\) | 1.87488 | 0.0843549 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −28.5379 | −1.28139 | ||||||||
\(497\) | −2.41991 | + | 2.41991i | −0.108548 | + | 0.108548i | ||||
\(498\) | −5.56357 | + | 5.56357i | −0.249309 | + | 0.249309i | ||||
\(499\) | − | 40.6308i | − | 1.81888i | −0.415831 | − | 0.909442i | \(-0.636509\pi\) | ||
0.415831 | − | 0.909442i | \(-0.363491\pi\) | |||||||
\(500\) | −2.66031 | − | 0.0751938i | −0.118973 | − | 0.00336277i | ||||
\(501\) | − | 48.8623i | − | 2.18301i | ||||||
\(502\) | −1.58205 | + | 1.58205i | −0.0706105 | + | 0.0706105i | ||||
\(503\) | 1.12936 | + | 1.12936i | 0.0503556 | + | 0.0503556i | 0.731836 | − | 0.681481i | \(-0.238664\pi\) |
−0.681481 | + | 0.731836i | \(0.738664\pi\) | |||||||
\(504\) | − | 10.7715i | − | 0.479799i | ||||||
\(505\) | −2.82076 | + | 4.78113i | −0.125522 | + | 0.212757i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 39.7908 | + | 39.7908i | 1.76717 | + | 1.76717i | ||||
\(508\) | −0.594413 | − | 0.594413i | −0.0263728 | − | 0.0263728i | ||||
\(509\) | − | 12.2411i | − | 0.542575i | −0.962498 | − | 0.271288i | \(-0.912551\pi\) | ||
0.962498 | − | 0.271288i | \(-0.0874495\pi\) | |||||||
\(510\) | 9.19686 | + | 35.6635i | 0.407244 | + | 1.57920i | ||||
\(511\) | 22.6873 | 1.00363 | ||||||||
\(512\) | 12.2879 | − | 12.2879i | 0.543055 | − | 0.543055i | ||||
\(513\) | −0.391393 | − | 0.391393i | −0.0172804 | − | 0.0172804i | ||||
\(514\) | 1.78392 | 0.0786854 | ||||||||
\(515\) | 27.7437 | − | 7.15451i | 1.22253 | − | 0.315265i | ||||
\(516\) | 1.58589i | 0.0698150i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 21.4072 | − | 21.4072i | 0.940576 | − | 0.940576i | ||||
\(519\) | 34.8219 | 1.52851 | ||||||||
\(520\) | −18.6704 | + | 31.6459i | −0.818751 | + | 1.38776i | ||||
\(521\) | 2.16153 | 0.0946983 | 0.0473491 | − | 0.998878i | \(-0.484923\pi\) | ||||
0.0473491 | + | 0.998878i | \(0.484923\pi\) | |||||||
\(522\) | −4.03174 | − | 4.03174i | −0.176464 | − | 0.176464i | ||||
\(523\) | −15.6370 | − | 15.6370i | −0.683757 | − | 0.683757i | 0.277088 | − | 0.960845i | \(-0.410631\pi\) |
−0.960845 | + | 0.277088i | \(0.910631\pi\) | |||||||
\(524\) | 1.51469 | 0.0661695 | ||||||||
\(525\) | −22.4334 | + | 12.3944i | −0.979073 | + | 0.540938i | ||||
\(526\) | 4.83580 | 0.210851 | ||||||||
\(527\) | 23.1038 | − | 23.1038i | 1.00642 | − | 1.00642i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.56467i | 0.328899i | ||||||||
\(530\) | −13.3147 | + | 22.5682i | −0.578355 | + | 0.980299i | ||||
\(531\) | −19.0412 | −0.826317 | ||||||||
\(532\) | −0.0797157 | − | 0.0797157i | −0.00345612 | − | 0.00345612i | ||||
\(533\) | −12.8583 | + | 12.8583i | −0.556955 | + | 0.556955i | ||||
\(534\) | 33.2668 | 1.43960 | ||||||||
\(535\) | 26.9745 | − | 6.95616i | 1.16621 | − | 0.300741i | ||||
\(536\) | 2.37768i | 0.102700i | ||||||||
\(537\) | −10.4138 | − | 10.4138i | −0.449387 | − | 0.449387i | ||||
\(538\) | −12.7299 | − | 12.7299i | −0.548823 | − | 0.548823i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.41907 | + | 0.365948i | −0.0610671 | + | 0.0157479i | ||||
\(541\) | 9.55174i | 0.410661i | 0.978693 | + | 0.205331i | \(0.0658270\pi\) | ||||
−0.978693 | + | 0.205331i | \(0.934173\pi\) | |||||||
\(542\) | −34.7212 | − | 34.7212i | −1.49140 | − | 1.49140i | ||||
\(543\) | 6.13584 | − | 6.13584i | 0.263314 | − | 0.263314i | ||||
\(544\) | − | 6.77860i | − | 0.290630i | ||||||
\(545\) | −21.4919 | − | 12.6797i | −0.920611 | − | 0.543140i | ||||
\(546\) | − | 47.8042i | − | 2.04583i | ||||||
\(547\) | 13.5241 | − | 13.5241i | 0.578249 | − | 0.578249i | −0.356172 | − | 0.934421i | \(-0.615918\pi\) |
0.934421 | + | 0.356172i | \(0.115918\pi\) | |||||||
\(548\) | −1.90715 | + | 1.90715i | −0.0814694 | + | 0.0814694i | ||||
\(549\) | −6.81665 | −0.290927 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.441709 | 0.0188174 | ||||||||
\(552\) | 15.9337 | − | 15.9337i | 0.678185 | − | 0.678185i | ||||
\(553\) | 13.4074 | − | 13.4074i | 0.570143 | − | 0.570143i | ||||
\(554\) | − | 28.4542i | − | 1.20890i | ||||||
\(555\) | −35.9986 | − | 21.2384i | −1.52805 | − | 0.901519i | ||||
\(556\) | − | 2.18594i | − | 0.0927044i | ||||||
\(557\) | −9.99502 | + | 9.99502i | −0.423502 | + | 0.423502i | −0.886408 | − | 0.462905i | \(-0.846807\pi\) |
0.462905 | + | 0.886408i | \(0.346807\pi\) | |||||||
\(558\) | −11.8493 | − | 11.8493i | −0.501622 | − | 0.501622i | ||||
\(559\) | − | 19.0870i | − | 0.807292i | ||||||
\(560\) | 22.5422 | − | 5.81317i | 0.952583 | − | 0.245651i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −9.44101 | − | 9.44101i | −0.398245 | − | 0.398245i | ||||
\(563\) | −29.6872 | − | 29.6872i | −1.25117 | − | 1.25117i | −0.955198 | − | 0.295968i | \(-0.904358\pi\) |
−0.295968 | − | 0.955198i | \(-0.595642\pi\) | |||||||
\(564\) | − | 4.59758i | − | 0.193593i | ||||||
\(565\) | 0.333346 | − | 0.0859628i | 0.0140240 | − | 0.00361648i | ||||
\(566\) | −14.2358 | −0.598373 | ||||||||
\(567\) | −18.6481 | + | 18.6481i | −0.783146 | + | 0.783146i | ||||
\(568\) | −2.70770 | − | 2.70770i | −0.113613 | − | 0.113613i | ||||
\(569\) | −4.21191 | −0.176572 | −0.0882862 | − | 0.996095i | \(-0.528139\pi\) | ||||
−0.0882862 | + | 0.996095i | \(0.528139\pi\) | |||||||
\(570\) | −0.743572 | + | 1.26034i | −0.0311448 | + | 0.0527898i | ||||
\(571\) | − | 25.3055i | − | 1.05900i | −0.848309 | − | 0.529502i | \(-0.822379\pi\) | ||
0.848309 | − | 0.529502i | \(-0.177621\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −19.1014 | + | 19.1014i | −0.797971 | + | 0.797971i | ||||
\(574\) | 10.2802 | 0.429087 | ||||||||
\(575\) | −18.8754 | − | 5.44074i | −0.787159 | − | 0.226895i | ||||
\(576\) | 11.8559 | 0.493996 | ||||||||
\(577\) | −1.24397 | − | 1.24397i | −0.0517873 | − | 0.0517873i | 0.680739 | − | 0.732526i | \(-0.261659\pi\) |
−0.732526 | + | 0.680739i | \(0.761659\pi\) | |||||||
\(578\) | 9.09995 | + | 9.09995i | 0.378508 | + | 0.378508i | ||||
\(579\) | −12.0628 | −0.501313 | ||||||||
\(580\) | 0.594254 | − | 1.00725i | 0.0246750 | − | 0.0418236i | ||||
\(581\) | −5.69399 | −0.236227 | ||||||||
\(582\) | 6.73983 | − | 6.73983i | 0.279375 | − | 0.279375i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 25.3855i | 1.05046i | ||||||||
\(585\) | −23.4143 | + | 6.03805i | −0.968062 | + | 0.249643i | ||||
\(586\) | −42.6046 | −1.75998 | ||||||||
\(587\) | 31.2614 | + | 31.2614i | 1.29029 | + | 1.29029i | 0.934604 | + | 0.355690i | \(0.115754\pi\) |
0.355690 | + | 0.934604i | \(0.384246\pi\) | |||||||
\(588\) | 0.531243 | − | 0.531243i | 0.0219081 | − | 0.0219081i | ||||
\(589\) | 1.29819 | 0.0534909 | ||||||||
\(590\) | −9.16919 | − | 35.5562i | −0.377490 | − | 1.46383i | ||||
\(591\) | 20.5560i | 0.845561i | ||||||||
\(592\) | 26.8449 | + | 26.8449i | 1.10332 | + | 1.10332i | ||||
\(593\) | −12.3805 | − | 12.3805i | −0.508407 | − | 0.508407i | 0.405630 | − | 0.914037i | \(-0.367052\pi\) |
−0.914037 | + | 0.405630i | \(0.867052\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −13.5435 | + | 22.9560i | −0.555231 | + | 0.941104i | ||||
\(596\) | − | 2.24026i | − | 0.0917647i | ||||||
\(597\) | −5.27091 | − | 5.27091i | −0.215724 | − | 0.215724i | ||||
\(598\) | 25.9082 | − | 25.9082i | 1.05946 | − | 1.05946i | ||||
\(599\) | − | 12.3007i | − | 0.502593i | −0.967910 | − | 0.251296i | \(-0.919143\pi\) | ||
0.967910 | − | 0.251296i | \(-0.0808569\pi\) | |||||||
\(600\) | −13.8685 | − | 25.1013i | −0.566179 | − | 1.02476i | ||||
\(601\) | − | 44.4894i | − | 1.81476i | −0.420311 | − | 0.907380i | \(-0.638079\pi\) | ||
0.420311 | − | 0.907380i | \(-0.361921\pi\) | |||||||
\(602\) | −7.62999 | + | 7.62999i | −0.310975 | + | 0.310975i | ||||
\(603\) | −1.10644 | + | 1.10644i | −0.0450575 | + | 0.0450575i | ||||
\(604\) | −3.06708 | −0.124798 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 8.08130 | 0.328280 | ||||||||
\(607\) | −3.60942 | + | 3.60942i | −0.146502 | + | 0.146502i | −0.776553 | − | 0.630051i | \(-0.783034\pi\) |
0.630051 | + | 0.776553i | \(0.283034\pi\) | |||||||
\(608\) | 0.190443 | − | 0.190443i | 0.00772347 | − | 0.00772347i | ||||
\(609\) | − | 11.2624i | − | 0.456373i | ||||||
\(610\) | −3.28252 | − | 12.7289i | −0.132905 | − | 0.515379i | ||||
\(611\) | 55.3340i | 2.23858i | ||||||||
\(612\) | 1.47739 | − | 1.47739i | 0.0597198 | − | 0.0597198i | ||||
\(613\) | −23.6313 | − | 23.6313i | −0.954458 | − | 0.954458i | 0.0445492 | − | 0.999007i | \(-0.485815\pi\) |
−0.999007 | + | 0.0445492i | \(0.985815\pi\) | |||||||
\(614\) | 34.6136i | 1.39689i | ||||||||
\(615\) | −3.54409 | − | 13.7432i | −0.142911 | − | 0.554180i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.99619 | + | 8.99619i | 0.362173 | + | 0.362173i | 0.864612 | − | 0.502439i | \(-0.167564\pi\) |
−0.502439 | + | 0.864612i | \(0.667564\pi\) | |||||||
\(618\) | −29.4933 | − | 29.4933i | −1.18640 | − | 1.18640i | ||||
\(619\) | − | 25.2518i | − | 1.01496i | −0.861664 | − | 0.507479i | \(-0.830578\pi\) | ||
0.861664 | − | 0.507479i | \(-0.169422\pi\) | |||||||
\(620\) | 1.74652 | − | 2.96031i | 0.0701418 | − | 0.118889i | ||||
\(621\) | −10.8170 | −0.434071 | ||||||||
\(622\) | −7.83745 | + | 7.83745i | −0.314253 | + | 0.314253i | ||||
\(623\) | 17.0233 | + | 17.0233i | 0.682026 | + | 0.682026i | ||||
\(624\) | 59.9473 | 2.39981 | ||||||||
\(625\) | −13.3067 | + | 21.1644i | −0.532266 | + | 0.846577i | ||||
\(626\) | 25.1642i | 1.00577i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.08749 | − | 3.08749i | 0.123204 | − | 0.123204i | ||||
\(629\) | −43.4663 | −1.73311 | ||||||||
\(630\) | 11.7735 | + | 6.94613i | 0.469069 | + | 0.276740i | ||||
\(631\) | 23.8568 | 0.949726 | 0.474863 | − | 0.880060i | \(-0.342498\pi\) | ||||
0.474863 | + | 0.880060i | \(0.342498\pi\) | |||||||
\(632\) | 15.0020 | + | 15.0020i | 0.596746 | + | 0.596746i | ||||
\(633\) | −11.5952 | − | 11.5952i | −0.460867 | − | 0.460867i | ||||
\(634\) | 7.13067 | 0.283195 | ||||||||
\(635\) | −7.64638 | + | 1.97184i | −0.303437 | + | 0.0782501i | ||||
\(636\) | 4.05724 | 0.160880 | ||||||||
\(637\) | −6.39377 | + | 6.39377i | −0.253330 | + | 0.253330i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 2.52002i | − | 0.0996903i | ||||||
\(640\) | 7.20521 | + | 27.9403i | 0.284811 | + | 1.10444i | ||||
\(641\) | −13.0841 | −0.516790 | −0.258395 | − | 0.966039i | \(-0.583194\pi\) | ||||
−0.258395 | + | 0.966039i | \(0.583194\pi\) | |||||||
\(642\) | −28.6757 | − | 28.6757i | −1.13174 | − | 1.13174i | ||||
\(643\) | −3.58296 | + | 3.58296i | −0.141298 | + | 0.141298i | −0.774218 | − | 0.632919i | \(-0.781856\pi\) |
0.632919 | + | 0.774218i | \(0.281856\pi\) | |||||||
\(644\) | −2.20311 | −0.0868148 | ||||||||
\(645\) | 12.8307 | + | 7.56983i | 0.505208 | + | 0.298062i | ||||
\(646\) | 1.52179i | 0.0598740i | ||||||||
\(647\) | 25.0924 | + | 25.0924i | 0.986483 | + | 0.986483i | 0.999910 | − | 0.0134265i | \(-0.00427392\pi\) |
−0.0134265 | + | 0.999910i | \(0.504274\pi\) | |||||||
\(648\) | −20.8659 | − | 20.8659i | −0.819688 | − | 0.819688i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −22.5501 | − | 40.8146i | −0.884487 | − | 1.60088i | ||||
\(651\) | − | 33.1001i | − | 1.29730i | ||||||
\(652\) | −1.31577 | − | 1.31577i | −0.0515297 | − | 0.0515297i | ||||
\(653\) | −2.88489 | + | 2.88489i | −0.112894 | + | 0.112894i | −0.761297 | − | 0.648403i | \(-0.775437\pi\) |
0.648403 | + | 0.761297i | \(0.275437\pi\) | |||||||
\(654\) | 36.3266i | 1.42048i | ||||||||
\(655\) | 7.22997 | − | 12.2546i | 0.282498 | − | 0.478828i | ||||
\(656\) | 12.8915i | 0.503329i | ||||||||
\(657\) | −11.8129 | + | 11.8129i | −0.460867 | + | 0.460867i | ||||
\(658\) | 22.1197 | − | 22.1197i | 0.862316 | − | 0.862316i | ||||
\(659\) | −13.9779 | −0.544503 | −0.272252 | − | 0.962226i | \(-0.587768\pi\) | ||||
−0.272252 | + | 0.962226i | \(0.587768\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.6375 | 0.880495 | 0.440247 | − | 0.897876i | \(-0.354891\pi\) | ||||
0.440247 | + | 0.897876i | \(0.354891\pi\) | |||||||
\(662\) | −0.671746 | + | 0.671746i | −0.0261081 | + | 0.0261081i | ||||
\(663\) | −48.5322 | + | 48.5322i | −1.88483 | + | 1.88483i | ||||
\(664\) | − | 6.37117i | − | 0.247249i | ||||||
\(665\) | −1.02544 | + | 0.264440i | −0.0397650 | + | 0.0102546i | ||||
\(666\) | 22.2927i | 0.863826i | ||||||||
\(667\) | 6.10379 | − | 6.10379i | 0.236340 | − | 0.236340i | ||||
\(668\) | −3.77977 | − | 3.77977i | −0.146244 | − | 0.146244i | ||||
\(669\) | 42.8874i | 1.65812i | ||||||||
\(670\) | −2.59888 | − | 1.53328i | −0.100403 | − | 0.0592359i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −4.85576 | − | 4.85576i | −0.187315 | − | 0.187315i | ||||
\(673\) | 22.9662 | + | 22.9662i | 0.885283 | + | 0.885283i | 0.994066 | − | 0.108783i | \(-0.0346953\pi\) |
−0.108783 | + | 0.994066i | \(0.534695\pi\) | |||||||
\(674\) | 3.40929i | 0.131321i | ||||||||
\(675\) | −3.81284 | + | 13.2278i | −0.146756 | + | 0.509138i | ||||
\(676\) | 6.15608 | 0.236772 | ||||||||
\(677\) | 14.0251 | − | 14.0251i | 0.539028 | − | 0.539028i | −0.384215 | − | 0.923244i | \(-0.625528\pi\) |
0.923244 | + | 0.384215i | \(0.125528\pi\) | |||||||
\(678\) | −0.354368 | − | 0.354368i | −0.0136094 | − | 0.0136094i | ||||
\(679\) | 6.89783 | 0.264714 | ||||||||
\(680\) | −25.6861 | − | 15.1542i | −0.985017 | − | 0.581139i | ||||
\(681\) | 11.8857i | 0.455461i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.8713 | − | 10.8713i | 0.415977 | − | 0.415977i | −0.467837 | − | 0.883815i | \(-0.654967\pi\) |
0.883815 | + | 0.467837i | \(0.154967\pi\) | |||||||
\(684\) | 0.0830135 | 0.00317410 | ||||||||
\(685\) | 6.32658 | + | 24.5331i | 0.241726 | + | 0.937363i | ||||
\(686\) | 29.7813 | 1.13705 | ||||||||
\(687\) | −0.648008 | − | 0.648008i | −0.0247231 | − | 0.0247231i | ||||
\(688\) | −9.56813 | − | 9.56813i | −0.364782 | − | 0.364782i | ||||
\(689\) | −48.8308 | −1.86031 | ||||||||
\(690\) | 7.14096 | + | 27.6912i | 0.271852 | + | 1.05418i | ||||
\(691\) | −30.5928 | −1.16381 | −0.581903 | − | 0.813259i | \(-0.697691\pi\) | ||||
−0.581903 | + | 0.813259i | \(0.697691\pi\) | |||||||
\(692\) | 2.69367 | − | 2.69367i | 0.102398 | − | 0.102398i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.7271i | 1.05251i | ||||||||
\(695\) | −17.6854 | − | 10.4340i | −0.670845 | − | 0.395784i | ||||
\(696\) | 12.6018 | 0.477669 | ||||||||
\(697\) | −10.4367 | − | 10.4367i | −0.395319 | − | 0.395319i | ||||
\(698\) | 14.7260 | − | 14.7260i | 0.557386 | − | 0.557386i | ||||
\(699\) | 13.9313 | 0.526931 | ||||||||
\(700\) | −0.776568 | + | 2.69412i | −0.0293515 | + | 0.101828i | ||||
\(701\) | 32.2169i | 1.21682i | 0.793624 | + | 0.608409i | \(0.208192\pi\) | ||||
−0.793624 | + | 0.608409i | \(0.791808\pi\) | |||||||
\(702\) | −18.1563 | − | 18.1563i | −0.685265 | − | 0.685265i | ||||
\(703\) | −1.22117 | − | 1.22117i | −0.0460574 | − | 0.0460574i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −37.1968 | − | 21.9453i | −1.40091 | − | 0.826508i | ||||
\(706\) | − | 37.8235i | − | 1.42351i | ||||||
\(707\) | 4.13538 | + | 4.13538i | 0.155527 | + | 0.155527i | ||||
\(708\) | −4.02030 | + | 4.02030i | −0.151092 | + | 0.151092i | ||||
\(709\) | − | 40.0729i | − | 1.50497i | −0.658610 | − | 0.752485i | \(-0.728855\pi\) | ||
0.658610 | − | 0.752485i | \(-0.271145\pi\) | |||||||
\(710\) | 4.70570 | − | 1.21350i | 0.176602 | − | 0.0455419i | ||||
\(711\) | 13.9621i | 0.523619i | ||||||||
\(712\) | −19.0479 | + | 19.0479i | −0.713850 | + | 0.713850i | ||||
\(713\) | 17.9391 | − | 17.9391i | 0.671824 | − | 0.671824i | ||||
\(714\) | 38.8014 | 1.45210 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −1.61112 | −0.0602106 | ||||||||
\(717\) | 20.5328 | − | 20.5328i | 0.766810 | − | 0.766810i | ||||
\(718\) | 1.52496 | − | 1.52496i | 0.0569110 | − | 0.0569110i | ||||
\(719\) | 32.0865i | 1.19662i | 0.801263 | + | 0.598312i | \(0.204162\pi\) | ||||
−0.801263 | + | 0.598312i | \(0.795838\pi\) | |||||||
\(720\) | −8.71056 | + | 14.7642i | −0.324624 | + | 0.550230i | ||||
\(721\) | − | 30.1848i | − | 1.12414i | ||||||
\(722\) | 20.0562 | − | 20.0562i | 0.746413 | − | 0.746413i | ||||
\(723\) | −17.1819 | − | 17.1819i | −0.639001 | − | 0.639001i | ||||
\(724\) | − | 0.949282i | − | 0.0352798i | ||||||
\(725\) | −5.31264 | − | 9.61565i | −0.197307 | − | 0.357116i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.2393 | + | 31.2393i | 1.15860 | + | 1.15860i | 0.984777 | + | 0.173824i | \(0.0556124\pi\) |
0.173824 | + | 0.984777i | \(0.444388\pi\) | |||||||
\(728\) | 27.3717 | + | 27.3717i | 1.01446 | + | 1.01446i | ||||
\(729\) | − | 1.44677i | − | 0.0535840i | ||||||
\(730\) | −27.7471 | − | 16.3702i | −1.02697 | − | 0.605888i | ||||
\(731\) | 15.4924 | 0.573006 | ||||||||
\(732\) | −1.43925 | + | 1.43925i | −0.0531960 | + | 0.0531960i | ||||
\(733\) | 36.7604 | + | 36.7604i | 1.35778 | + | 1.35778i | 0.876651 | + | 0.481126i | \(0.159772\pi\) |
0.481126 | + | 0.876651i | \(0.340228\pi\) | |||||||
\(734\) | 22.5855 | 0.833648 | ||||||||
\(735\) | −1.76229 | − | 6.83378i | −0.0650030 | − | 0.252068i | ||||
\(736\) | − | 5.26329i | − | 0.194007i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −5.35273 | + | 5.35273i | −0.197037 | + | 0.197037i | ||||
\(739\) | −25.9734 | −0.955447 | −0.477724 | − | 0.878510i | \(-0.658538\pi\) | ||||
−0.477724 | + | 0.878510i | \(0.658538\pi\) | |||||||
\(740\) | −4.42759 | + | 1.14178i | −0.162762 | + | 0.0419728i | ||||
\(741\) | −2.72700 | −0.100179 | ||||||||
\(742\) | 19.5201 | + | 19.5201i | 0.716604 | + | 0.716604i | ||||
\(743\) | −30.1770 | − | 30.1770i | −1.10709 | − | 1.10709i | −0.993532 | − | 0.113555i | \(-0.963776\pi\) |
−0.113555 | − | 0.993532i | \(-0.536224\pi\) | |||||||
\(744\) | 37.0367 | 1.35783 | ||||||||
\(745\) | −18.1249 | − | 10.6933i | −0.664045 | − | 0.391772i | ||||
\(746\) | −34.5923 | −1.26651 | ||||||||
\(747\) | 2.96477 | − | 2.96477i | 0.108475 | − | 0.108475i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 29.3479i | − | 1.07235i | ||||||
\(750\) | 36.3798 | + | 1.02828i | 1.32840 | + | 0.0375473i | ||||
\(751\) | 48.0853 | 1.75466 | 0.877329 | − | 0.479889i | \(-0.159323\pi\) | ||||
0.877329 | + | 0.479889i | \(0.159323\pi\) | |||||||
\(752\) | 27.7385 | + | 27.7385i | 1.01152 | + | 1.01152i | ||||
\(753\) | 2.30108 | − | 2.30108i | 0.0838561 | − | 0.0838561i | ||||
\(754\) | 20.4904 | 0.746216 | ||||||||
\(755\) | −14.6399 | + | 24.8143i | −0.532800 | + | 0.903084i | ||||
\(756\) | 1.54393i | 0.0561522i | ||||||||
\(757\) | −8.06170 | − | 8.06170i | −0.293007 | − | 0.293007i | 0.545260 | − | 0.838267i | \(-0.316431\pi\) |
−0.838267 | + | 0.545260i | \(0.816431\pi\) | |||||||
\(758\) | −15.8400 | − | 15.8400i | −0.575336 | − | 0.575336i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.295890 | − | 1.14740i | −0.0107330 | − | 0.0416205i | ||||
\(761\) | 10.0931i | 0.365873i | 0.983125 | + | 0.182937i | \(0.0585603\pi\) | ||||
−0.983125 | + | 0.182937i | \(0.941440\pi\) | |||||||
\(762\) | 8.12860 | + | 8.12860i | 0.294468 | + | 0.294468i | ||||
\(763\) | −18.5891 | + | 18.5891i | −0.672971 | + | 0.672971i | ||||
\(764\) | 2.95519i | 0.106915i | ||||||||
\(765\) | −4.90092 | − | 19.0047i | −0.177193 | − | 0.687118i | ||||
\(766\) | 15.3124i | 0.553258i | ||||||||
\(767\) | 48.3862 | − | 48.3862i | 1.74712 | − | 1.74712i | ||||
\(768\) | 8.67049 | − | 8.67049i | 0.312869 | − | 0.312869i | ||||
\(769\) | −31.7043 | −1.14328 | −0.571642 | − | 0.820503i | \(-0.693694\pi\) | ||||
−0.571642 | + | 0.820503i | \(0.693694\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.59470 | −0.0934458 | ||||||||
\(772\) | −0.933125 | + | 0.933125i | −0.0335839 | + | 0.0335839i | ||||
\(773\) | −17.1009 | + | 17.1009i | −0.615077 | + | 0.615077i | −0.944264 | − | 0.329188i | \(-0.893225\pi\) |
0.329188 | + | 0.944264i | \(0.393225\pi\) | |||||||
\(774\) | − | 7.94563i | − | 0.285600i | ||||||
\(775\) | −15.6139 | − | 28.2605i | −0.560868 | − | 1.01515i | ||||
\(776\) | 7.71817i | 0.277066i | ||||||||
\(777\) | −31.1365 | + | 31.1365i | −1.11702 | + | 1.11702i | ||||
\(778\) | 15.4856 | + | 15.4856i | 0.555187 | + | 0.555187i | ||||
\(779\) | − | 0.586434i | − | 0.0210112i | ||||||
\(780\) | −3.66876 | + | 6.21848i | −0.131363 | + | 0.222657i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 21.0289 | + | 21.0289i | 0.751993 | + | 0.751993i | ||||
\(783\) | −4.27750 | − | 4.27750i | −0.152865 | − | 0.152865i | ||||
\(784\) | 6.41028i | 0.228939i | ||||||||
\(785\) | −10.2421 | − | 39.7168i | −0.365557 | − | 1.41755i | ||||
\(786\) | −20.7134 | −0.738822 | ||||||||
\(787\) | −6.70534 | + | 6.70534i | −0.239019 | + | 0.239019i | −0.816444 | − | 0.577425i | \(-0.804058\pi\) |
0.577425 | + | 0.816444i | \(0.304058\pi\) | |||||||
\(788\) | 1.59012 | + | 1.59012i | 0.0566457 | + | 0.0566457i | ||||
\(789\) | −7.03362 | −0.250404 | ||||||||
\(790\) | −26.0718 | + | 6.72338i | −0.927595 | + | 0.239207i | ||||
\(791\) | − | 0.362675i | − | 0.0128953i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.3220 | − | 17.3220i | 0.615123 | − | 0.615123i | ||||
\(794\) | 31.6031 | 1.12155 | ||||||||
\(795\) | 19.3662 | − | 32.8252i | 0.686847 | − | 1.16419i | ||||
\(796\) | −0.815469 | −0.0289035 | ||||||||
\(797\) | 26.7675 | + | 26.7675i | 0.948155 | + | 0.948155i | 0.998721 | − | 0.0505655i | \(-0.0161024\pi\) |
−0.0505655 | + | 0.998721i | \(0.516102\pi\) | |||||||
\(798\) | 1.09011 | + | 1.09011i | 0.0385896 | + | 0.0385896i | ||||
\(799\) | −44.9131 | −1.58891 | ||||||||
\(800\) | −6.43633 | − | 1.85524i | −0.227559 | − | 0.0655926i | ||||
\(801\) | −17.7276 | −0.626373 | ||||||||
\(802\) | −29.5848 | + | 29.5848i | −1.04468 | + | 1.04468i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.467219i | 0.0164775i | ||||||||
\(805\) | −10.5160 | + | 17.8243i | −0.370640 | + | 0.628226i | ||||
\(806\) | 60.2214 | 2.12121 | ||||||||
\(807\) | 18.5155 | + | 18.5155i | 0.651775 | + | 0.651775i | ||||
\(808\) | −4.62719 | + | 4.62719i | −0.162784 | + | 0.162784i | ||||
\(809\) | 37.3798 | 1.31420 | 0.657102 | − | 0.753802i | \(-0.271782\pi\) | ||||
0.657102 | + | 0.753802i | \(0.271782\pi\) | |||||||
\(810\) | 36.2627 | − | 9.35137i | 1.27414 | − | 0.328574i | ||||
\(811\) | − | 4.37634i | − | 0.153674i | −0.997044 | − | 0.0768370i | \(-0.975518\pi\) | ||
0.997044 | − | 0.0768370i | \(-0.0244821\pi\) | |||||||
\(812\) | −0.871205 | − | 0.871205i | −0.0305733 | − | 0.0305733i | ||||
\(813\) | 50.5017 | + | 50.5017i | 1.77117 | + | 1.77117i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −16.9258 | + | 4.36480i | −0.592885 | + | 0.152892i | ||||
\(816\) | 48.6576i | 1.70336i | ||||||||
\(817\) | 0.435253 | + | 0.435253i | 0.0152276 | + | 0.0152276i | ||||
\(818\) | −31.2196 | + | 31.2196i | −1.09157 | + | 1.09157i | ||||
\(819\) | 25.4744i | 0.890148i | ||||||||
\(820\) | −1.33727 | − | 0.788959i | −0.0466994 | − | 0.0275517i | ||||
\(821\) | − | 5.58492i | − | 0.194915i | −0.995240 | − | 0.0974576i | \(-0.968929\pi\) | ||
0.995240 | − | 0.0974576i | \(-0.0310710\pi\) | |||||||
\(822\) | 26.0803 | − | 26.0803i | 0.909655 | − | 0.909655i | ||||
\(823\) | 12.4511 | − | 12.4511i | 0.434020 | − | 0.434020i | −0.455974 | − | 0.889993i | \(-0.650709\pi\) |
0.889993 | + | 0.455974i | \(0.150709\pi\) | |||||||
\(824\) | 33.7746 | 1.17659 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −38.6846 | −1.34601 | ||||||||
\(827\) | 15.5697 | − | 15.5697i | 0.541412 | − | 0.541412i | −0.382531 | − | 0.923943i | \(-0.624947\pi\) |
0.923943 | + | 0.382531i | \(0.124947\pi\) | |||||||
\(828\) | 1.14713 | − | 1.14713i | 0.0398654 | − | 0.0398654i | ||||
\(829\) | − | 12.8841i | − | 0.447484i | −0.974648 | − | 0.223742i | \(-0.928173\pi\) | ||
0.974648 | − | 0.223742i | \(-0.0718273\pi\) | |||||||
\(830\) | 6.96388 | + | 4.10854i | 0.241720 | + | 0.142609i | ||||
\(831\) | 41.3863i | 1.43568i | ||||||||
\(832\) | −30.1274 | + | 30.1274i | −1.04448 | + | 1.04448i | ||||
\(833\) | −5.18964 | − | 5.18964i | −0.179810 | − | 0.179810i | ||||
\(834\) | 29.8927i | 1.03510i | ||||||||
\(835\) | −48.6221 | + | 12.5386i | −1.68264 | + | 0.433916i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −12.5716 | − | 12.5716i | −0.434538 | − | 0.434538i | ||||
\(838\) | −26.1134 | − | 26.1134i | −0.902073 | − | 0.902073i | ||||
\(839\) | 18.8163i | 0.649610i | 0.945781 | + | 0.324805i | \(0.105299\pi\) | ||||
−0.945781 | + | 0.324805i | \(0.894701\pi\) | |||||||
\(840\) | −29.2554 | + | 7.54436i | −1.00941 | + | 0.260305i | ||||
\(841\) | −24.1726 | −0.833538 | ||||||||
\(842\) | 11.6374 | − | 11.6374i | 0.401050 | − | 0.401050i | ||||
\(843\) | 13.7319 | + | 13.7319i | 0.472950 | + | 0.472950i | ||||
\(844\) | −1.79390 | −0.0617486 | ||||||||
\(845\) | 29.3844 | − | 49.8060i | 1.01086 | − | 1.71338i | ||||
\(846\) | 23.0348i | 0.791952i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −24.4785 | + | 24.4785i | −0.840595 | + | 0.840595i | ||||
\(849\) | 20.7058 | 0.710620 | ||||||||
\(850\) | 33.1281 | − | 18.3033i | 1.13628 | − | 0.627797i | ||||
\(851\) | −33.7497 | −1.15693 | ||||||||
\(852\) | −0.532068 | − | 0.532068i | −0.0182284 | − | 0.0182284i | ||||
\(853\) | 33.2410 | + | 33.2410i | 1.13815 | + | 1.13815i | 0.988782 | + | 0.149368i | \(0.0477238\pi\) |
0.149368 | + | 0.988782i | \(0.452276\pi\) | |||||||
\(854\) | −13.8489 | −0.473900 | ||||||||
\(855\) | 0.396243 | − | 0.671623i | 0.0135512 | − | 0.0229690i | ||||
\(856\) | 32.8382 | 1.12239 | ||||||||
\(857\) | −11.3933 | + | 11.3933i | −0.389186 | + | 0.389186i | −0.874397 | − | 0.485211i | \(-0.838743\pi\) |
0.485211 | + | 0.874397i | \(0.338743\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 49.9871i | − | 1.70554i | −0.522289 | − | 0.852769i | \(-0.674922\pi\) | ||
0.522289 | − | 0.852769i | \(-0.325078\pi\) | |||||||
\(860\) | 1.57809 | − | 0.406957i | 0.0538125 | − | 0.0138771i | ||||
\(861\) | −14.9524 | −0.509577 | ||||||||
\(862\) | −18.4257 | − | 18.4257i | −0.627582 | − | 0.627582i | ||||
\(863\) | 39.2999 | − | 39.2999i | 1.33778 | − | 1.33778i | 0.439579 | − | 0.898204i | \(-0.355128\pi\) |
0.898204 | − | 0.439579i | \(-0.144872\pi\) | |||||||
\(864\) | −3.68848 | −0.125485 | ||||||||
\(865\) | −8.93569 | − | 34.6507i | −0.303823 | − | 1.17816i | ||||
\(866\) | − | 40.3557i | − | 1.37134i | ||||||
\(867\) | −13.2358 | − | 13.2358i | −0.449511 | − | 0.449511i | ||||
\(868\) | −2.56048 | − | 2.56048i | −0.0869083 | − | 0.0869083i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | −8.12642 | + | 13.7741i | −0.275512 | + | 0.466986i | ||||
\(871\) | − | 5.62320i | − | 0.190535i | ||||||
\(872\) | −20.7999 | − | 20.7999i | −0.704373 | − | 0.704373i | ||||
\(873\) | −3.59159 | + | 3.59159i | −0.121557 | + | 0.121557i | ||||
\(874\) | 1.18160i | 0.0399684i | ||||||||
\(875\) | 18.0901 | + | 19.1425i | 0.611559 | + | 0.647136i | ||||
\(876\) | 4.98829i | 0.168539i | ||||||||
\(877\) | −8.75692 | + | 8.75692i | −0.295700 | + | 0.295700i | −0.839327 | − | 0.543627i | \(-0.817051\pi\) |
0.543627 | + | 0.839327i | \(0.317051\pi\) | |||||||
\(878\) | −42.6070 | + | 42.6070i | −1.43792 | + | 1.43792i | ||||
\(879\) | 61.9680 | 2.09013 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 49.9355 | 1.68237 | 0.841185 | − | 0.540748i | \(-0.181859\pi\) | ||||
0.841185 | + | 0.540748i | \(0.181859\pi\) | |||||||
\(882\) | −2.66163 | + | 2.66163i | −0.0896218 | + | 0.0896218i | ||||
\(883\) | 23.9079 | − | 23.9079i | 0.804566 | − | 0.804566i | −0.179239 | − | 0.983806i | \(-0.557364\pi\) |
0.983806 | + | 0.179239i | \(0.0573636\pi\) | |||||||
\(884\) | 7.50847i | 0.252537i | ||||||||
\(885\) | 13.3365 | + | 51.7161i | 0.448302 | + | 1.73842i | ||||
\(886\) | 32.4227i | 1.08926i | ||||||||
\(887\) | 39.9042 | − | 39.9042i | 1.33985 | − | 1.33985i | 0.443656 | − | 0.896197i | \(-0.353681\pi\) |
0.896197 | − | 0.443656i | \(-0.146319\pi\) | |||||||
\(888\) | −34.8395 | − | 34.8395i | −1.16914 | − | 1.16914i | ||||
\(889\) | 8.31916i | 0.279016i | ||||||||
\(890\) | −8.53663 | − | 33.1032i | −0.286148 | − | 1.10962i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.31758 | + | 3.31758i | 0.111081 | + | 0.111081i | ||||
\(893\) | −1.26182 | − | 1.26182i | −0.0422252 | − | 0.0422252i | ||||
\(894\) | 30.6356i | 1.02461i | ||||||||
\(895\) | −7.69028 | + | 13.0348i | −0.257058 | + | 0.435707i | ||||
\(896\) | 30.3987 | 1.01555 | ||||||||
\(897\) | −37.6832 | + | 37.6832i | −1.25820 | + | 1.25820i | ||||
\(898\) | −25.3380 | − | 25.3380i | −0.845540 | − | 0.845540i | ||||
\(899\) | 14.1878 | 0.473188 | ||||||||
\(900\) | −0.998442 | − | 1.80713i | −0.0332814 | − | 0.0602378i | ||||
\(901\) | − | 39.6346i | − | 1.32042i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 11.0977 | − | 11.0977i | 0.369310 | − | 0.369310i | ||||
\(904\) | 0.405808 | 0.0134970 | ||||||||
\(905\) | −7.68019 | − | 4.53115i | −0.255298 | − | 0.150620i | ||||
\(906\) | 41.9423 | 1.39344 | ||||||||
\(907\) | 23.3877 | + | 23.3877i | 0.776575 | + | 0.776575i | 0.979247 | − | 0.202672i | \(-0.0649624\pi\) |
−0.202672 | + | 0.979247i | \(0.564962\pi\) | |||||||
\(908\) | 0.919426 | + | 0.919426i | 0.0305122 | + | 0.0305122i | ||||
\(909\) | −4.30645 | −0.142836 | ||||||||
\(910\) | −47.5692 | + | 12.2671i | −1.57690 | + | 0.406650i | ||||
\(911\) | −24.0845 | −0.797954 | −0.398977 | − | 0.916961i | \(-0.630635\pi\) | ||||
−0.398977 | + | 0.916961i | \(0.630635\pi\) | |||||||
\(912\) | −1.36702 | + | 1.36702i | −0.0452666 | + | 0.0452666i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 13.9628i | − | 0.461848i | ||||||
\(915\) | 4.77440 | + | 18.5141i | 0.157837 | + | 0.612058i | ||||
\(916\) | −0.100254 | −0.00331249 | ||||||||
\(917\) | −10.5995 | − | 10.5995i | −0.350026 | − | 0.350026i | ||||
\(918\) | 14.7370 | − | 14.7370i | 0.486392 | − | 0.486392i | ||||
\(919\) | 17.8182 | 0.587769 | 0.293884 | − | 0.955841i | \(-0.405052\pi\) | ||||
0.293884 | + | 0.955841i | \(0.405052\pi\) | |||||||
\(920\) | −19.9442 | − | 11.7666i | −0.657540 | − | 0.387934i | ||||
\(921\) | − | 50.3452i | − | 1.65893i | ||||||
\(922\) | −42.2879 | − | 42.2879i | −1.39268 | − | 1.39268i | ||||
\(923\) | 6.40370 | + | 6.40370i | 0.210780 | + | 0.210780i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.8963 | + | 41.2716i | −0.391149 | + | 1.35700i | ||||
\(926\) | 51.7902i | 1.70193i | ||||||||
\(927\) | 15.7167 | + | 15.7167i | 0.516205 | + | 0.516205i | ||||
\(928\) | 2.08133 | − | 2.08133i | 0.0683230 | − | 0.0683230i | ||||
\(929\) | − | 23.9829i | − | 0.786853i | −0.919356 | − | 0.393427i | \(-0.871290\pi\) | ||
0.919356 | − | 0.393427i | \(-0.128710\pi\) | |||||||
\(930\) | −23.8836 | + | 40.4822i | −0.783175 | + | 1.32746i | ||||
\(931\) | − | 0.291603i | − | 0.00955691i | ||||||
\(932\) | 1.07767 | − | 1.07767i | 0.0353001 | − | 0.0353001i | ||||
\(933\) | 11.3995 | − | 11.3995i | 0.373203 | − | 0.373203i | ||||
\(934\) | 29.3616 | 0.960741 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −28.5040 | −0.931684 | ||||||||
\(937\) | −21.4626 | + | 21.4626i | −0.701153 | + | 0.701153i | −0.964658 | − | 0.263505i | \(-0.915122\pi\) |
0.263505 | + | 0.964658i | \(0.415122\pi\) | |||||||
\(938\) | −2.24787 | + | 2.24787i | −0.0733955 | + | 0.0733955i | ||||
\(939\) | − | 36.6012i | − | 1.19443i | ||||||
\(940\) | −4.57497 | + | 1.17979i | −0.149219 | + | 0.0384805i | ||||
\(941\) | 4.47383i | 0.145843i | 0.997338 | + | 0.0729213i | \(0.0232322\pi\) | ||||
−0.997338 | + | 0.0729213i | \(0.976768\pi\) | |||||||
\(942\) | −42.2215 | + | 42.2215i | −1.37565 | + | 1.37565i | ||||
\(943\) | −8.10368 | − | 8.10368i | −0.263892 | − | 0.263892i | ||||
\(944\) | − | 48.5112i | − | 1.57891i | ||||||
\(945\) | 12.4912 | + | 7.36954i | 0.406339 | + | 0.239731i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −34.1643 | − | 34.1643i | −1.11019 | − | 1.11019i | −0.993124 | − | 0.117067i | \(-0.962651\pi\) |
−0.117067 | − | 0.993124i | \(-0.537349\pi\) | |||||||
\(948\) | 2.94791 | + | 2.94791i | 0.0957438 | + | 0.0957438i | ||||
\(949\) | − | 60.0365i | − | 1.94887i | ||||||
\(950\) | 1.44495 | + | 0.416499i | 0.0468804 | + | 0.0135130i | ||||
\(951\) | −10.3715 | −0.336319 | ||||||||
\(952\) | −22.2169 | + | 22.2169i | −0.720053 | + | 0.720053i | ||||
\(953\) | 31.2622 | + | 31.2622i | 1.01268 | + | 1.01268i | 0.999919 | + | 0.0127642i | \(0.00406308\pi\) |
0.0127642 | + | 0.999919i | \(0.495937\pi\) | |||||||
\(954\) | −20.3276 | −0.658130 | ||||||||
\(955\) | 23.9091 | + | 14.1058i | 0.773679 | + | 0.456454i | ||||
\(956\) | − | 3.17664i | − | 0.102740i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 29.8322 | − | 29.8322i | 0.963833 | − | 0.963833i | ||||
\(959\) | 26.6917 | 0.861920 | ||||||||
\(960\) | −8.30391 | − | 32.2008i | −0.268008 | − | 1.03928i | ||||
\(961\) | 10.6979 | 0.345094 | ||||||||
\(962\) | −56.6488 | − | 56.6488i | −1.82643 | − | 1.82643i | ||||
\(963\) | 15.2810 | + | 15.2810i | 0.492423 | + | 0.492423i | ||||
\(964\) | −2.65823 | −0.0856157 | ||||||||
\(965\) | 3.09545 | + | 12.0035i | 0.0996460 | + | 0.386406i | ||||
\(966\) | 30.1276 | 0.969340 | ||||||||
\(967\) | 18.6938 | − | 18.6938i | 0.601151 | − | 0.601151i | −0.339467 | − | 0.940618i | \(-0.610247\pi\) |
0.940618 | + | 0.339467i | \(0.110247\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 2.21343i | − | 0.0711055i | ||||||
\(970\) | −8.43620 | − | 4.97717i | −0.270870 | − | 0.159807i | ||||
\(971\) | 33.1039 | 1.06236 | 0.531178 | − | 0.847260i | \(-0.321750\pi\) | ||||
0.531178 | + | 0.847260i | \(0.321750\pi\) | |||||||
\(972\) | −2.70989 | − | 2.70989i | −0.0869196 | − | 0.0869196i | ||||
\(973\) | −15.2967 | + | 15.2967i | −0.490391 | + | 0.490391i | ||||
\(974\) | −58.7190 | −1.88148 | ||||||||
\(975\) | 32.7989 | + | 59.3645i | 1.05040 | + | 1.90118i | ||||
\(976\) | − | 17.3668i | − | 0.555896i | ||||||
\(977\) | 15.1069 | + | 15.1069i | 0.483311 | + | 0.483311i | 0.906187 | − | 0.422876i | \(-0.138979\pi\) |
−0.422876 | + | 0.906187i | \(0.638979\pi\) | |||||||
\(978\) | 17.9932 | + | 17.9932i | 0.575359 | + | 0.575359i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −0.664954 | − | 0.392308i | −0.0212412 | − | 0.0125318i | ||||
\(981\) | − | 19.3581i | − | 0.618057i | ||||||
\(982\) | −25.6483 | − | 25.6483i | −0.818469 | − | 0.818469i | ||||
\(983\) | −29.6143 | + | 29.6143i | −0.944550 | + | 0.944550i | −0.998541 | − | 0.0539912i | \(-0.982806\pi\) |
0.0539912 | + | 0.998541i | \(0.482806\pi\) | |||||||
\(984\) | − | 16.7307i | − | 0.533355i | ||||||
\(985\) | 20.4549 | − | 5.27489i | 0.651748 | − | 0.168072i | ||||
\(986\) | 16.6315i | 0.529654i | ||||||||
\(987\) | −32.1729 | + | 32.1729i | −1.02407 | + | 1.02407i | ||||
\(988\) | −0.210948 | + | 0.210948i | −0.00671116 | + | 0.00671116i | ||||
\(989\) | 12.0292 | 0.382505 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.00640 | −0.159033 | −0.0795167 | − | 0.996834i | \(-0.525338\pi\) | ||||
−0.0795167 | + | 0.996834i | \(0.525338\pi\) | |||||||
\(992\) | 6.11704 | − | 6.11704i | 0.194216 | − | 0.194216i | ||||
\(993\) | 0.977048 | − | 0.977048i | 0.0310057 | − | 0.0310057i | ||||
\(994\) | − | 5.11974i | − | 0.162388i | ||||||
\(995\) | −3.89242 | + | 6.59757i | −0.123398 | + | 0.209157i | ||||
\(996\) | − | 1.25195i | − | 0.0396694i | ||||||
\(997\) | 9.87615 | − | 9.87615i | 0.312781 | − | 0.312781i | −0.533205 | − | 0.845986i | \(-0.679013\pi\) |
0.845986 | + | 0.533205i | \(0.179013\pi\) | |||||||
\(998\) | 42.9808 | + | 42.9808i | 1.36053 | + | 1.36053i | ||||
\(999\) | 23.6516i | 0.748304i |
(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 | 605.2.e.c.362.6 | ✓ | 40 | |
5.3 | odd | 4 | inner | 605.2.e.c.483.15 | yes | 40 | |
11.2 | odd | 10 | 605.2.m.g.282.6 | 160 | |||
11.3 | even | 5 | 605.2.m.g.112.15 | 160 | |||
11.4 | even | 5 | 605.2.m.g.457.6 | 160 | |||
11.5 | even | 5 | 605.2.m.g.602.15 | 160 | |||
11.6 | odd | 10 | 605.2.m.g.602.6 | 160 | |||
11.7 | odd | 10 | 605.2.m.g.457.15 | 160 | |||
11.8 | odd | 10 | 605.2.m.g.112.6 | 160 | |||
11.9 | even | 5 | 605.2.m.g.282.15 | 160 | |||
11.10 | odd | 2 | inner | 605.2.e.c.362.15 | yes | 40 | |
55.3 | odd | 20 | 605.2.m.g.233.15 | 160 | |||
55.8 | even | 20 | 605.2.m.g.233.6 | 160 | |||
55.13 | even | 20 | 605.2.m.g.403.15 | 160 | |||
55.18 | even | 20 | 605.2.m.g.578.15 | 160 | |||
55.28 | even | 20 | 605.2.m.g.118.15 | 160 | |||
55.38 | odd | 20 | 605.2.m.g.118.6 | 160 | |||
55.43 | even | 4 | inner | 605.2.e.c.483.6 | yes | 40 | |
55.48 | odd | 20 | 605.2.m.g.578.6 | 160 | |||
55.53 | odd | 20 | 605.2.m.g.403.6 | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.e.c.362.6 | ✓ | 40 | 1.1 | even | 1 | trivial | |
605.2.e.c.362.15 | yes | 40 | 11.10 | odd | 2 | inner | |
605.2.e.c.483.6 | yes | 40 | 55.43 | even | 4 | inner | |
605.2.e.c.483.15 | yes | 40 | 5.3 | odd | 4 | inner | |
605.2.m.g.112.6 | 160 | 11.8 | odd | 10 | |||
605.2.m.g.112.15 | 160 | 11.3 | even | 5 | |||
605.2.m.g.118.6 | 160 | 55.38 | odd | 20 | |||
605.2.m.g.118.15 | 160 | 55.28 | even | 20 | |||
605.2.m.g.233.6 | 160 | 55.8 | even | 20 | |||
605.2.m.g.233.15 | 160 | 55.3 | odd | 20 | |||
605.2.m.g.282.6 | 160 | 11.2 | odd | 10 | |||
605.2.m.g.282.15 | 160 | 11.9 | even | 5 | |||
605.2.m.g.403.6 | 160 | 55.53 | odd | 20 | |||
605.2.m.g.403.15 | 160 | 55.13 | even | 20 | |||
605.2.m.g.457.6 | 160 | 11.4 | even | 5 | |||
605.2.m.g.457.15 | 160 | 11.7 | odd | 10 | |||
605.2.m.g.578.6 | 160 | 55.48 | odd | 20 | |||
605.2.m.g.578.15 | 160 | 55.18 | even | 20 | |||
605.2.m.g.602.6 | 160 | 11.6 | odd | 10 | |||
605.2.m.g.602.15 | 160 | 11.5 | even | 5 |