Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(17,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.bs (of order \(36\), degree \(12\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 89.1 | ||
Character | \(\chi\) | \(=\) | 666.89 |
Dual form | 666.2.bs.a.449.1 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.906308 | + | 0.422618i | −0.640856 | + | 0.298836i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.642788 | − | 0.766044i | 0.321394 | − | 0.383022i | ||||
\(5\) | −2.27330 | + | 1.59178i | −1.01665 | + | 0.711867i | −0.958105 | − | 0.286418i | \(-0.907536\pi\) |
−0.0585468 | + | 0.998285i | \(0.518647\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.235550 | − | 1.33587i | 0.0890294 | − | 0.504911i | −0.907385 | − | 0.420301i | \(-0.861925\pi\) |
0.996414 | − | 0.0846098i | \(-0.0269644\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.38759 | − | 2.40338i | 0.438796 | − | 0.760017i | ||||
\(11\) | −1.34547 | − | 2.33043i | −0.405676 | − | 0.702651i | 0.588724 | − | 0.808334i | \(-0.299630\pi\) |
−0.994400 | + | 0.105683i | \(0.966297\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.52507 | − | 0.133426i | 0.422979 | − | 0.0370058i | 0.126320 | − | 0.991990i | \(-0.459683\pi\) |
0.296658 | + | 0.954984i | \(0.404128\pi\) | |||||||
\(14\) | 0.351082 | + | 1.31026i | 0.0938306 | + | 0.350180i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | 4.11867 | + | 0.360337i | 0.998925 | + | 0.0873946i | 0.574873 | − | 0.818243i | \(-0.305052\pi\) |
0.424053 | + | 0.905638i | \(0.360607\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.739989 | − | 1.58691i | 0.169765 | − | 0.364062i | −0.802957 | − | 0.596037i | \(-0.796741\pi\) |
0.972722 | + | 0.231975i | \(0.0745188\pi\) | |||||||
\(20\) | −0.241874 | + | 2.76463i | −0.0540846 | + | 0.618190i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.20430 | + | 1.54346i | 0.469957 | + | 0.329068i | ||||
\(23\) | 1.05730 | − | 0.283302i | 0.220462 | − | 0.0590726i | −0.146897 | − | 0.989152i | \(-0.546929\pi\) |
0.367359 | + | 0.930079i | \(0.380262\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.924028 | − | 2.53875i | 0.184806 | − | 0.507749i | ||||
\(26\) | −1.32580 | + | 0.765448i | −0.260010 | + | 0.150117i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.871926 | − | 1.03912i | −0.164779 | − | 0.196375i | ||||
\(29\) | 5.38761 | + | 1.44361i | 1.00045 | + | 0.268071i | 0.721636 | − | 0.692273i | \(-0.243391\pi\) |
0.278818 | + | 0.960344i | \(0.410057\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.32111 | + | 3.32111i | 0.596489 | + | 0.596489i | 0.939377 | − | 0.342887i | \(-0.111405\pi\) |
−0.342887 | + | 0.939377i | \(0.611405\pi\) | |||||||
\(32\) | 0.573576 | + | 0.819152i | 0.101395 | + | 0.144807i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.88507 | + | 1.41405i | −0.666284 | + | 0.242508i | ||||
\(35\) | 1.59094 | + | 3.41178i | 0.268917 | + | 0.576695i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.51738 | − | 2.56095i | 0.907052 | − | 0.421018i | ||||
\(38\) | 1.75096i | 0.284044i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.949171 | − | 2.60783i | −0.150077 | − | 0.412333i | ||||
\(41\) | 3.89852 | + | 3.27124i | 0.608846 | + | 0.510882i | 0.894275 | − | 0.447517i | \(-0.147692\pi\) |
−0.285429 | + | 0.958400i | \(0.592136\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.103083 | − | 0.103083i | 0.0157200 | − | 0.0157200i | −0.699203 | − | 0.714923i | \(-0.746462\pi\) |
0.714923 | + | 0.699203i | \(0.246462\pi\) | |||||||
\(44\) | −2.65007 | − | 0.467278i | −0.399513 | − | 0.0704448i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.838509 | + | 0.703592i | −0.123631 | + | 0.103739i | ||||
\(47\) | −8.88064 | − | 5.12724i | −1.29537 | − | 0.747885i | −0.315773 | − | 0.948835i | \(-0.602264\pi\) |
−0.979602 | + | 0.200950i | \(0.935597\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.84879 | + | 1.76481i | 0.692684 | + | 0.252116i | ||||
\(50\) | 0.235467 | + | 2.69140i | 0.0333000 | + | 0.380621i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.878086 | − | 1.25404i | 0.121769 | − | 0.173904i | ||||
\(53\) | 7.13680 | − | 1.25841i | 0.980315 | − | 0.172856i | 0.339546 | − | 0.940590i | \(-0.389727\pi\) |
0.640769 | + | 0.767734i | \(0.278616\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.76821 | + | 3.15607i | 0.912625 | + | 0.425564i | ||||
\(56\) | 1.22938 | + | 0.573271i | 0.164283 | + | 0.0766066i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.49293 | + | 0.968551i | −0.721257 | + | 0.127177i | ||||
\(59\) | 7.01467 | − | 10.0180i | 0.913232 | − | 1.30423i | −0.0391211 | − | 0.999234i | \(-0.512456\pi\) |
0.952353 | − | 0.304997i | \(-0.0986553\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.282040 | − | 3.22373i | −0.0361115 | − | 0.412757i | −0.992639 | − | 0.121113i | \(-0.961354\pi\) |
0.956527 | − | 0.291643i | \(-0.0942020\pi\) | |||||||
\(62\) | −4.41351 | − | 1.60639i | −0.560517 | − | 0.204011i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | −3.25456 | + | 2.73090i | −0.403679 | + | 0.338727i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.12376 | + | 0.550804i | 0.381628 | + | 0.0672914i | 0.361172 | − | 0.932499i | \(-0.382377\pi\) |
0.0204567 | + | 0.999791i | \(0.493488\pi\) | |||||||
\(68\) | 2.92347 | − | 2.92347i | 0.354522 | − | 0.354522i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.88376 | − | 2.41976i | −0.344675 | − | 0.289217i | ||||
\(71\) | 1.48707 | + | 4.08569i | 0.176483 | + | 0.484882i | 0.996120 | − | 0.0879998i | \(-0.0280475\pi\) |
−0.819638 | + | 0.572882i | \(0.805825\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.271239i | 0.0317461i | 0.999874 | + | 0.0158731i | \(0.00505276\pi\) | ||||
−0.999874 | + | 0.0158731i | \(0.994947\pi\) | |||||||
\(74\) | −3.91814 | + | 4.65276i | −0.455475 | + | 0.540872i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.739989 | − | 1.58691i | −0.0848825 | − | 0.182031i | ||||
\(77\) | −3.43007 | + | 1.24844i | −0.390893 | + | 0.142273i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.80938 | + | 5.44036i | 0.428589 | + | 0.612088i | 0.974128 | − | 0.225997i | \(-0.0725640\pi\) |
−0.545539 | + | 0.838085i | \(0.683675\pi\) | |||||||
\(80\) | 1.96236 | + | 1.96236i | 0.219398 | + | 0.219398i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.91574 | − | 1.31717i | −0.542853 | − | 0.145457i | ||||
\(83\) | −3.10674 | − | 3.70246i | −0.341009 | − | 0.406398i | 0.568099 | − | 0.822961i | \(-0.307679\pi\) |
−0.909107 | + | 0.416562i | \(0.863235\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.93657 | + | 5.73688i | −1.07777 | + | 0.622252i | ||||
\(86\) | −0.0498601 | + | 0.136990i | −0.00537656 | + | 0.0147720i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.59926 | − | 0.696469i | 0.277082 | − | 0.0742438i | ||||
\(89\) | 5.61411 | + | 3.93104i | 0.595094 | + | 0.416689i | 0.831946 | − | 0.554856i | \(-0.187227\pi\) |
−0.236852 | + | 0.971546i | \(0.576116\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.180990 | − | 2.06872i | 0.0189729 | − | 0.216861i | ||||
\(92\) | 0.462596 | − | 0.992040i | 0.0482290 | − | 0.103427i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.2155 | + | 0.893737i | 1.05364 | + | 0.0921819i | ||||
\(95\) | 0.843800 | + | 4.78543i | 0.0865721 | + | 0.490975i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.863737 | − | 3.22351i | −0.0876992 | − | 0.327298i | 0.908112 | − | 0.418726i | \(-0.137523\pi\) |
−0.995812 | + | 0.0914286i | \(0.970857\pi\) | |||||||
\(98\) | −5.14034 | + | 0.449721i | −0.519253 | + | 0.0454287i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.35084 | − | 2.33972i | −0.135084 | − | 0.233972i | ||||
\(101\) | 4.68631 | − | 8.11693i | 0.466306 | − | 0.807665i | −0.532954 | − | 0.846144i | \(-0.678918\pi\) |
0.999259 | + | 0.0384794i | \(0.0122514\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.93545 | + | 7.22319i | −0.190705 | + | 0.711722i | 0.802632 | + | 0.596475i | \(0.203433\pi\) |
−0.993337 | + | 0.115247i | \(0.963234\pi\) | |||||||
\(104\) | −0.265837 | + | 1.50764i | −0.0260675 | + | 0.147836i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.93631 | + | 4.15665i | −0.576585 | + | 0.403729i | ||||
\(107\) | 2.82287 | − | 3.36417i | 0.272897 | − | 0.325226i | −0.612137 | − | 0.790751i | \(-0.709690\pi\) |
0.885035 | + | 0.465525i | \(0.154134\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2377 | + | 5.70652i | −1.17216 | + | 0.546585i | −0.908440 | − | 0.418015i | \(-0.862726\pi\) |
−0.263716 | + | 0.964600i | \(0.584948\pi\) | |||||||
\(110\) | −7.46789 | −0.712035 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.35648 | −0.128175 | ||||||||
\(113\) | 2.75210 | − | 1.28332i | 0.258895 | − | 0.120725i | −0.288838 | − | 0.957378i | \(-0.593269\pi\) |
0.547733 | + | 0.836653i | \(0.315491\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.95260 | + | 2.32702i | −0.182081 | + | 0.216996i | ||||
\(116\) | 4.56895 | − | 3.19922i | 0.424217 | − | 0.297040i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.12367 | + | 12.0439i | −0.195499 | + | 1.10873i | ||||
\(119\) | 1.45151 | − | 5.41713i | 0.133060 | − | 0.496587i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.87940 | − | 3.25521i | 0.170854 | − | 0.295929i | ||||
\(122\) | 1.61802 | + | 2.80250i | 0.146489 | + | 0.253726i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.67889 | − | 0.409350i | 0.420177 | − | 0.0367607i | ||||
\(125\) | −1.65082 | − | 6.16095i | −0.147654 | − | 0.551052i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.42243 | + | 19.4096i | 0.303692 | + | 1.72232i | 0.629599 | + | 0.776920i | \(0.283219\pi\) |
−0.325907 | + | 0.945402i | \(0.605670\pi\) | |||||||
\(128\) | 0.996195 | + | 0.0871557i | 0.0880520 | + | 0.00770355i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.79551 | − | 3.85047i | 0.157476 | − | 0.337709i | ||||
\(131\) | 1.75945 | − | 20.1106i | 0.153723 | − | 1.75707i | −0.392801 | − | 0.919624i | \(-0.628494\pi\) |
0.546524 | − | 0.837443i | \(-0.315951\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.94560 | − | 1.36232i | −0.168705 | − | 0.118128i | ||||
\(134\) | −3.06387 | + | 0.820962i | −0.264678 | + | 0.0709203i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.41405 | + | 3.88507i | −0.121254 | + | 0.333142i | ||||
\(137\) | −11.2022 | + | 6.46757i | −0.957066 | + | 0.552562i | −0.895269 | − | 0.445527i | \(-0.853016\pi\) |
−0.0617971 | + | 0.998089i | \(0.519683\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −11.8850 | − | 14.1640i | −1.00807 | − | 1.20137i | −0.979430 | − | 0.201785i | \(-0.935326\pi\) |
−0.0286430 | − | 0.999590i | \(-0.509119\pi\) | |||||||
\(140\) | 3.63621 | + | 0.974319i | 0.307316 | + | 0.0823449i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.07443 | − | 3.07443i | −0.258000 | − | 0.258000i | ||||
\(143\) | −2.36288 | − | 3.37455i | −0.197594 | − | 0.282194i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.5456 | + | 5.29415i | −1.20794 | + | 0.439656i | ||||
\(146\) | −0.114631 | − | 0.245826i | −0.00948689 | − | 0.0203447i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.58470 | − | 5.87271i | 0.130262 | − | 0.482734i | ||||
\(149\) | 0.645327i | 0.0528672i | 0.999651 | + | 0.0264336i | \(0.00841506\pi\) | ||||
−0.999651 | + | 0.0264336i | \(0.991585\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.25678 | − | 11.6954i | −0.346412 | − | 0.951758i | −0.983491 | − | 0.180960i | \(-0.942080\pi\) |
0.637079 | − | 0.770799i | \(-0.280143\pi\) | |||||||
\(152\) | 1.34132 | + | 1.12550i | 0.108795 | + | 0.0912899i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.58109 | − | 2.58109i | 0.207990 | − | 0.207990i | ||||
\(155\) | −12.8364 | − | 2.26340i | −1.03104 | − | 0.181801i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.4610 | + | 11.2951i | −1.07431 | + | 0.901449i | −0.995436 | − | 0.0954355i | \(-0.969576\pi\) |
−0.0788700 | + | 0.996885i | \(0.525131\pi\) | |||||||
\(158\) | −5.75167 | − | 3.32073i | −0.457578 | − | 0.264183i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.60783 | − | 0.949171i | −0.206167 | − | 0.0750385i | ||||
\(161\) | −0.129408 | − | 1.47914i | −0.0101988 | − | 0.116573i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.68363 | − | 9.54522i | 0.523502 | − | 0.747639i | −0.467131 | − | 0.884188i | \(-0.654712\pi\) |
0.990633 | + | 0.136549i | \(0.0436012\pi\) | |||||||
\(164\) | 5.01184 | − | 0.883722i | 0.391359 | − | 0.0690071i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.38039 | + | 2.04261i | 0.339984 | + | 0.158537i | ||||
\(167\) | 4.23656 | + | 1.97554i | 0.327835 | + | 0.152872i | 0.579566 | − | 0.814925i | \(-0.303222\pi\) |
−0.251731 | + | 0.967797i | \(0.581000\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.4945 | + | 1.85046i | −0.807266 | + | 0.142343i | ||||
\(170\) | 6.58108 | − | 9.39875i | 0.504746 | − | 0.720852i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0127057 | − | 0.145227i | −0.000968798 | − | 0.0110734i | ||||
\(173\) | −15.8625 | − | 5.77348i | −1.20600 | − | 0.438950i | −0.340688 | − | 0.940176i | \(-0.610660\pi\) |
−0.865316 | + | 0.501226i | \(0.832882\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.17378 | − | 1.83238i | −0.239915 | − | 0.138515i | ||||
\(176\) | −2.06139 | + | 1.72971i | −0.155383 | + | 0.130382i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.74944 | − | 1.19011i | −0.505892 | − | 0.0892023i | ||||
\(179\) | −0.596793 | + | 0.596793i | −0.0446064 | + | 0.0446064i | −0.729058 | − | 0.684452i | \(-0.760042\pi\) |
0.684452 | + | 0.729058i | \(0.260042\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.6602 | + | 15.6578i | 1.38700 | + | 1.16383i | 0.966537 | + | 0.256527i | \(0.0825782\pi\) |
0.420467 | + | 0.907308i | \(0.361866\pi\) | |||||||
\(182\) | 0.710247 | + | 1.95139i | 0.0526470 | + | 0.144647i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.09460i | 0.0806946i | ||||||||
\(185\) | −8.46620 | + | 14.6043i | −0.622447 | + | 1.07373i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.70183 | − | 10.0831i | −0.343832 | − | 0.737349i | ||||
\(188\) | −9.63606 | + | 3.50724i | −0.702782 | + | 0.255792i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.78715 | − | 3.98047i | −0.202201 | − | 0.288773i | ||||
\(191\) | −16.3470 | − | 16.3470i | −1.18283 | − | 1.18283i | −0.979008 | − | 0.203822i | \(-0.934664\pi\) |
−0.203822 | − | 0.979008i | \(-0.565336\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.9668 | − | 4.01035i | −1.07734 | − | 0.288671i | −0.323832 | − | 0.946115i | \(-0.604971\pi\) |
−0.753504 | + | 0.657443i | \(0.771638\pi\) | |||||||
\(194\) | 2.14513 | + | 2.55646i | 0.154011 | + | 0.183543i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.46867 | − | 2.57999i | 0.319191 | − | 0.184285i | ||||
\(197\) | −8.04789 | + | 22.1114i | −0.573388 | + | 1.57537i | 0.225725 | + | 0.974191i | \(0.427525\pi\) |
−0.799113 | + | 0.601181i | \(0.794697\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.48384 | − | 1.73734i | 0.459627 | − | 0.123157i | −0.0215733 | − | 0.999767i | \(-0.506868\pi\) |
0.481201 | + | 0.876610i | \(0.340201\pi\) | |||||||
\(200\) | 2.21308 | + | 1.54962i | 0.156489 | + | 0.109575i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.816878 | + | 9.33696i | −0.0574753 | + | 0.656946i | ||||
\(203\) | 3.19752 | − | 6.85709i | 0.224422 | − | 0.481274i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.0696 | − | 1.23093i | −0.982665 | − | 0.0859720i | ||||
\(206\) | −1.29854 | − | 7.36439i | −0.0904736 | − | 0.513101i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.396225 | − | 1.47873i | −0.0274733 | − | 0.102532i | ||||
\(209\) | −4.69382 | + | 0.410656i | −0.324678 | + | 0.0284057i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.40637 | − | 5.90001i | −0.234504 | − | 0.406173i | 0.724624 | − | 0.689144i | \(-0.242013\pi\) |
−0.959129 | + | 0.282971i | \(0.908680\pi\) | |||||||
\(212\) | 3.62345 | − | 6.27600i | 0.248859 | − | 0.431037i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.13663 | + | 4.24197i | −0.0776986 | + | 0.289975i | ||||
\(215\) | −0.0702529 | + | 0.398424i | −0.00479121 | + | 0.0271723i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.21885 | − | 3.65428i | 0.354279 | − | 0.248069i | ||||
\(218\) | 8.67941 | − | 10.3437i | 0.587844 | − | 0.700565i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.76821 | − | 3.15607i | 0.456312 | − | 0.212782i | ||||
\(221\) | 6.32935 | 0.425758 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.8235 | 0.858723 | 0.429362 | − | 0.903133i | \(-0.358739\pi\) | ||||
0.429362 | + | 0.903133i | \(0.358739\pi\) | |||||||
\(224\) | 1.22938 | − | 0.573271i | 0.0821417 | − | 0.0383033i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.95189 | + | 2.32617i | −0.129838 | + | 0.154735i | ||||
\(227\) | −13.7372 | + | 9.61888i | −0.911769 | + | 0.638428i | −0.932427 | − | 0.361359i | \(-0.882313\pi\) |
0.0206575 | + | 0.999787i | \(0.493424\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.84303 | − | 21.7949i | 0.253954 | − | 1.44025i | −0.544788 | − | 0.838574i | \(-0.683390\pi\) |
0.798743 | − | 0.601673i | \(-0.205499\pi\) | |||||||
\(230\) | 0.786217 | − | 2.93420i | 0.0518416 | − | 0.193476i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.78883 | + | 4.83040i | −0.183096 | + | 0.317131i | ||||
\(233\) | 1.20514 | + | 2.08736i | 0.0789513 | + | 0.136748i | 0.902798 | − | 0.430065i | \(-0.141509\pi\) |
−0.823846 | + | 0.566813i | \(0.808176\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 28.3498 | − | 2.48029i | 1.84934 | − | 0.161796i | ||||
\(236\) | −3.16528 | − | 11.8130i | −0.206042 | − | 0.768960i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.973858 | + | 5.52302i | 0.0631258 | + | 0.358004i | ||||
\(239\) | 19.2353 | + | 1.68287i | 1.24423 | + | 0.108856i | 0.690186 | − | 0.723632i | \(-0.257529\pi\) |
0.554043 | + | 0.832488i | \(0.313084\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.0206898 | + | 0.0443695i | −0.00133275 | + | 0.00285809i | −0.906973 | − | 0.421189i | \(-0.861613\pi\) |
0.905640 | + | 0.424047i | \(0.139391\pi\) | |||||||
\(242\) | −0.327601 | + | 3.74449i | −0.0210590 | + | 0.240705i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.65081 | − | 1.85612i | −0.169701 | − | 0.118826i | ||||
\(245\) | −13.8320 | + | 3.70626i | −0.883692 | + | 0.236785i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.916800 | − | 2.51889i | 0.0583346 | − | 0.160273i | ||||
\(248\) | −4.06751 | + | 2.34838i | −0.258287 | + | 0.149122i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.09988 | + | 4.88605i | 0.259299 | + | 0.309021i | ||||
\(251\) | 9.30495 | + | 2.49325i | 0.587323 | + | 0.157373i | 0.540229 | − | 0.841518i | \(-0.318337\pi\) |
0.0470936 | + | 0.998890i | \(0.485004\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.08278 | − | 2.08278i | −0.130943 | − | 0.130943i | ||||
\(254\) | −11.3046 | − | 16.1447i | −0.709315 | − | 1.01301i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 5.88349 | + | 12.6172i | 0.367002 | + | 0.787038i | 0.999918 | + | 0.0128178i | \(0.00408013\pi\) |
−0.632916 | + | 0.774221i | \(0.718142\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.12148 | − | 7.97373i | −0.131822 | − | 0.495463i | ||||
\(260\) | 4.24853i | 0.263483i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.90449 | + | 18.9699i | 0.426561 | + | 1.17197i | ||||
\(263\) | 10.1497 | + | 8.51663i | 0.625859 | + | 0.525158i | 0.899639 | − | 0.436634i | \(-0.143830\pi\) |
−0.273780 | + | 0.961792i | \(0.588274\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.2210 | + | 14.2210i | −0.873588 | + | 0.873588i | ||||
\(266\) | 2.33905 | + | 0.412438i | 0.143417 | + | 0.0252882i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.42986 | − | 2.03889i | 0.148427 | − | 0.124545i | ||||
\(269\) | 13.9187 | + | 8.03598i | 0.848640 | + | 0.489962i | 0.860192 | − | 0.509971i | \(-0.170344\pi\) |
−0.0115519 | + | 0.999933i | \(0.503677\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.27924 | − | 0.829576i | −0.138454 | − | 0.0503931i | 0.271864 | − | 0.962336i | \(-0.412360\pi\) |
−0.410318 | + | 0.911943i | \(0.634582\pi\) | |||||||
\(272\) | −0.360337 | − | 4.11867i | −0.0218487 | − | 0.249731i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.41930 | − | 10.5959i | 0.448216 | − | 0.640119i | ||||
\(275\) | −7.15962 | + | 1.26244i | −0.431742 | + | 0.0761277i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.4745 | + | 11.8789i | 1.53061 | + | 0.713736i | 0.991694 | − | 0.128622i | \(-0.0410555\pi\) |
0.538918 | + | 0.842358i | \(0.318833\pi\) | |||||||
\(278\) | 16.7574 | + | 7.81412i | 1.00504 | + | 0.468660i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.70729 | + | 0.653695i | −0.221553 | + | 0.0390657i | ||||
\(281\) | 2.74940 | − | 3.92655i | 0.164015 | − | 0.234238i | −0.728728 | − | 0.684803i | \(-0.759888\pi\) |
0.892744 | + | 0.450564i | \(0.148777\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.493350 | − | 5.63902i | −0.0293266 | − | 0.335205i | −0.996658 | − | 0.0816891i | \(-0.973969\pi\) |
0.967331 | − | 0.253516i | \(-0.0815870\pi\) | |||||||
\(284\) | 4.08569 | + | 1.48707i | 0.242441 | + | 0.0882414i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.56765 | + | 2.05978i | 0.210959 | + | 0.121797i | ||||
\(287\) | 5.28824 | − | 4.43736i | 0.312155 | − | 0.261929i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.0918971 | + | 0.0162039i | 0.00540571 | + | 0.000953172i | ||||
\(290\) | 10.9454 | − | 10.9454i | 0.642734 | − | 0.642734i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.207781 | + | 0.174349i | 0.0121595 | + | 0.0102030i | ||||
\(293\) | 9.77701 | + | 26.8621i | 0.571179 | + | 1.56930i | 0.802644 | + | 0.596458i | \(0.203426\pi\) |
−0.231465 | + | 0.972843i | \(0.574352\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 33.9398i | 1.97605i | ||||||||
\(296\) | 1.04569 | + | 5.99221i | 0.0607793 | + | 0.348290i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.272727 | − | 0.584865i | −0.0157986 | − | 0.0338803i | ||||
\(299\) | 1.57465 | − | 0.573127i | 0.0910646 | − | 0.0331448i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.113424 | − | 0.161986i | −0.00653765 | − | 0.00933673i | ||||
\(302\) | 8.80064 | + | 8.80064i | 0.506420 | + | 0.506420i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.69130 | − | 0.453182i | −0.0970027 | − | 0.0259918i | ||||
\(305\) | 5.77265 | + | 6.87957i | 0.330541 | + | 0.393923i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.04283 | + | 2.91148i | −0.287810 | + | 0.166167i | −0.636954 | − | 0.770902i | \(-0.719806\pi\) |
0.349144 | + | 0.937069i | \(0.386472\pi\) | |||||||
\(308\) | −1.24844 | + | 3.43007i | −0.0711367 | + | 0.195446i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 12.5903 | − | 3.37355i | 0.715079 | − | 0.191605i | ||||
\(311\) | 21.9726 | + | 15.3854i | 1.24595 | + | 0.872426i | 0.995412 | − | 0.0956804i | \(-0.0305027\pi\) |
0.250541 | + | 0.968106i | \(0.419392\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.614936 | + | 7.02875i | −0.0347583 | + | 0.397289i | 0.958810 | + | 0.284050i | \(0.0916781\pi\) |
−0.993568 | + | 0.113239i | \(0.963877\pi\) | |||||||
\(314\) | 7.42629 | − | 15.9257i | 0.419090 | − | 0.898741i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.61618 | + | 0.578841i | 0.372189 | + | 0.0325623i | ||||
\(317\) | 1.71711 | + | 9.73820i | 0.0964424 | + | 0.546952i | 0.994296 | + | 0.106657i | \(0.0340148\pi\) |
−0.897853 | + | 0.440294i | \(0.854874\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.88467 | − | 14.4978i | −0.217500 | − | 0.811720i | ||||
\(320\) | 2.76463 | − | 0.241874i | 0.154547 | − | 0.0135212i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.742396 | + | 1.28587i | 0.0413721 | + | 0.0716586i | ||||
\(323\) | 3.61960 | − | 6.26932i | 0.201400 | − | 0.348834i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.07047 | − | 3.99506i | 0.0593791 | − | 0.221606i | ||||
\(326\) | −2.02345 | + | 11.4755i | −0.112068 | + | 0.635571i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.16879 | + | 2.91902i | −0.230183 | + | 0.161176i | ||||
\(329\) | −8.94115 | + | 10.6556i | −0.492941 | + | 0.587465i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 28.2675 | − | 13.1813i | 1.55372 | − | 0.724512i | 0.559198 | − | 0.829034i | \(-0.311109\pi\) |
0.994523 | + | 0.104522i | \(0.0333312\pi\) | |||||||
\(332\) | −4.83322 | −0.265258 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −4.67453 | −0.255779 | ||||||||
\(335\) | −7.97802 | + | 3.72021i | −0.435886 | + | 0.203257i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.22153 | + | 6.22278i | −0.284435 | + | 0.338976i | −0.889277 | − | 0.457369i | \(-0.848792\pi\) |
0.604842 | + | 0.796346i | \(0.293236\pi\) | |||||||
\(338\) | 8.72918 | − | 6.11223i | 0.474805 | − | 0.332462i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.99240 | + | 11.2994i | −0.108053 | + | 0.612799i | ||||
\(341\) | 3.27115 | − | 12.2081i | 0.177143 | − | 0.661105i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.24736 | − | 14.2848i | 0.445315 | − | 0.771309i | ||||
\(344\) | 0.0728906 | + | 0.126250i | 0.00393000 | + | 0.00680696i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.8163 | − | 1.47124i | 0.904050 | − | 0.0790941i | ||||
\(347\) | −1.55103 | − | 5.78853i | −0.0832637 | − | 0.310744i | 0.911716 | − | 0.410821i | \(-0.134758\pi\) |
−0.994980 | + | 0.100077i | \(0.968091\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.83880 | − | 10.4284i | −0.0984289 | − | 0.558218i | −0.993643 | − | 0.112581i | \(-0.964088\pi\) |
0.895214 | − | 0.445637i | \(-0.147023\pi\) | |||||||
\(350\) | 3.65081 | + | 0.319405i | 0.195144 | + | 0.0170729i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.13724 | − | 2.43883i | 0.0606153 | − | 0.129990i | ||||
\(353\) | 0.999484 | − | 11.4241i | 0.0531971 | − | 0.608046i | −0.922071 | − | 0.387021i | \(-0.873504\pi\) |
0.975268 | − | 0.221025i | \(-0.0709403\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.88409 | − | 6.92092i | −0.524593 | − | 0.367324i | ||||
\(356\) | 6.62003 | − | 1.77383i | 0.350861 | − | 0.0940129i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.288662 | − | 0.793093i | 0.0152563 | − | 0.0419163i | ||||
\(359\) | −25.1016 | + | 14.4924i | −1.32481 | + | 0.764882i | −0.984492 | − | 0.175427i | \(-0.943869\pi\) |
−0.340322 | + | 0.940309i | \(0.610536\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.2423 | + | 12.2063i | 0.539066 | + | 0.642434i | ||||
\(362\) | −23.5292 | − | 6.30463i | −1.23667 | − | 0.331364i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.46839 | − | 1.46839i | −0.0769648 | − | 0.0769648i | ||||
\(365\) | −0.431754 | − | 0.616608i | −0.0225990 | − | 0.0322747i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.8701 | + | 6.14020i | −0.880611 | + | 0.320516i | −0.742456 | − | 0.669895i | \(-0.766339\pi\) |
−0.138154 | + | 0.990411i | \(0.544117\pi\) | |||||||
\(368\) | −0.462596 | − | 0.992040i | −0.0241145 | − | 0.0517137i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.50094 | − | 16.8140i | 0.0780300 | − | 0.874116i | ||||
\(371\) | − | 9.83024i | − | 0.510361i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.33319 | − | 9.15786i | −0.172586 | − | 0.474176i | 0.822999 | − | 0.568043i | \(-0.192299\pi\) |
−0.995585 | + | 0.0938671i | \(0.970077\pi\) | |||||||
\(374\) | 8.52261 | + | 7.15132i | 0.440693 | + | 0.369786i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.25101 | − | 7.25101i | 0.373942 | − | 0.373942i | ||||
\(377\) | 8.40910 | + | 1.48275i | 0.433091 | + | 0.0763656i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 14.2239 | − | 11.9353i | 0.730634 | − | 0.613075i | −0.199670 | − | 0.979863i | \(-0.563987\pi\) |
0.930304 | + | 0.366788i | \(0.119543\pi\) | |||||||
\(380\) | 4.20824 | + | 2.42963i | 0.215878 | + | 0.124637i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 21.7240 | + | 7.90689i | 1.11150 | + | 0.404552i | ||||
\(383\) | −0.108584 | − | 1.24113i | −0.00554841 | − | 0.0634186i | 0.992916 | − | 0.118821i | \(-0.0379114\pi\) |
−0.998464 | + | 0.0554023i | \(0.982356\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.81034 | − | 8.29802i | 0.296122 | − | 0.422906i | ||||
\(386\) | 15.2594 | − | 2.69064i | 0.776683 | − | 0.136950i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.02455 | − | 1.41037i | −0.153548 | − | 0.0716007i | ||||
\(389\) | 29.6625 | + | 13.8318i | 1.50395 | + | 0.701302i | 0.987876 | − | 0.155245i | \(-0.0496167\pi\) |
0.516070 | + | 0.856546i | \(0.327394\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.45675 | − | 0.785845i | 0.225387 | − | 0.0397419i | ||||
\(392\) | −2.95964 | + | 4.22680i | −0.149484 | + | 0.213486i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.05081 | − | 23.4409i | −0.103319 | − | 1.18094i | ||||
\(395\) | −17.3197 | − | 6.30387i | −0.871451 | − | 0.317182i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −21.5055 | − | 12.4162i | −1.07933 | − | 0.623151i | −0.148614 | − | 0.988895i | \(-0.547481\pi\) |
−0.930715 | + | 0.365744i | \(0.880814\pi\) | |||||||
\(398\) | −5.14213 | + | 4.31476i | −0.257751 | + | 0.216279i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.66063 | − | 0.469141i | −0.133032 | − | 0.0234571i | ||||
\(401\) | −13.8195 | + | 13.8195i | −0.690113 | + | 0.690113i | −0.962257 | − | 0.272143i | \(-0.912267\pi\) |
0.272143 | + | 0.962257i | \(0.412267\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.50805 | + | 4.62181i | 0.274376 | + | 0.230229i | ||||
\(404\) | −3.20563 | − | 8.80739i | −0.159486 | − | 0.438184i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.56597i | 0.375493i | ||||||||
\(407\) | −13.3916 | − | 9.41218i | −0.663798 | − | 0.466544i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.45778 | − | 18.1378i | −0.418210 | − | 0.896855i | −0.996701 | − | 0.0811654i | \(-0.974136\pi\) |
0.578490 | − | 0.815689i | \(-0.303642\pi\) | |||||||
\(410\) | 13.2716 | − | 4.83047i | 0.655439 | − | 0.238560i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.28920 | + | 6.12561i | 0.211314 | + | 0.301787i | ||||
\(413\) | −11.7304 | − | 11.7304i | −0.577216 | − | 0.577216i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.9561 | + | 3.47157i | 0.635989 | + | 0.170413i | ||||
\(416\) | 0.984041 | + | 1.17273i | 0.0482466 | + | 0.0574980i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.08049 | − | 2.35587i | 0.199584 | − | 0.115230i | ||||
\(419\) | −1.65269 | + | 4.54072i | −0.0807390 | + | 0.221829i | −0.973493 | − | 0.228715i | \(-0.926548\pi\) |
0.892754 | + | 0.450544i | \(0.148770\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.30723 | − | 1.15412i | 0.209922 | − | 0.0562484i | −0.152326 | − | 0.988330i | \(-0.548676\pi\) |
0.362247 | + | 0.932082i | \(0.382010\pi\) | |||||||
\(422\) | 5.58067 | + | 3.90763i | 0.271663 | + | 0.190220i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.631609 | + | 7.21932i | −0.0306736 | + | 0.350601i | ||||
\(425\) | 4.72057 | − | 10.1233i | 0.228982 | − | 0.491052i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.37292 | − | 0.382581i | −0.211620 | − | 0.0185144i | ||||
\(428\) | −0.762595 | − | 4.32489i | −0.0368614 | − | 0.209052i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.104711 | − | 0.390785i | −0.00504959 | − | 0.0188453i | ||||
\(431\) | 18.4810 | − | 1.61688i | 0.890201 | − | 0.0778825i | 0.367128 | − | 0.930170i | \(-0.380341\pi\) |
0.523073 | + | 0.852288i | \(0.324786\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.97483 | − | 6.88461i | −0.191018 | − | 0.330853i | 0.754570 | − | 0.656220i | \(-0.227846\pi\) |
−0.945588 | + | 0.325367i | \(0.894512\pi\) | |||||||
\(434\) | −3.18552 | + | 5.51749i | −0.152910 | + | 0.264848i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.49477 | + | 13.0427i | −0.167369 | + | 0.624631i | ||||
\(437\) | 0.332813 | − | 1.88748i | 0.0159206 | − | 0.0902903i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.0454 | + | 9.83466i | −0.670348 | + | 0.469383i | −0.858538 | − | 0.512750i | \(-0.828627\pi\) |
0.188190 | + | 0.982133i | \(0.439738\pi\) | |||||||
\(440\) | −4.80027 | + | 5.72074i | −0.228844 | + | 0.272725i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.73634 | + | 2.67490i | −0.272850 | + | 0.127232i | ||||
\(443\) | −29.8379 | −1.41764 | −0.708821 | − | 0.705388i | \(-0.750773\pi\) | ||||
−0.708821 | + | 0.705388i | \(0.750773\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −19.0199 | −0.901631 | ||||||||
\(446\) | −11.6220 | + | 5.41943i | −0.550318 | + | 0.256618i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.871926 | + | 1.03912i | −0.0411946 | + | 0.0490938i | ||||
\(449\) | 3.39752 | − | 2.37897i | 0.160339 | − | 0.112270i | −0.490653 | − | 0.871355i | \(-0.663242\pi\) |
0.650992 | + | 0.759084i | \(0.274353\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.37805 | − | 13.4866i | 0.111978 | − | 0.635059i | ||||
\(452\) | 0.785930 | − | 2.93313i | 0.0369670 | − | 0.137963i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 8.38501 | − | 14.5233i | 0.393528 | − | 0.681610i | ||||
\(455\) | 2.88151 | + | 4.99093i | 0.135087 | + | 0.233978i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.3633 | − | 2.13152i | 1.13967 | − | 0.0997081i | 0.498345 | − | 0.866979i | \(-0.333941\pi\) |
0.641324 | + | 0.767270i | \(0.278386\pi\) | |||||||
\(458\) | 5.72795 | + | 21.3770i | 0.267650 | + | 0.998882i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.527493 | + | 2.99156i | 0.0245945 | + | 0.139482i | ||||
\(461\) | −25.4764 | − | 2.22890i | −1.18655 | − | 0.103810i | −0.523263 | − | 0.852171i | \(-0.675285\pi\) |
−0.663292 | + | 0.748361i | \(0.730841\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.12825 | − | 2.41955i | 0.0524344 | − | 0.112446i | −0.878345 | − | 0.478027i | \(-0.841352\pi\) |
0.930779 | + | 0.365581i | \(0.119130\pi\) | |||||||
\(464\) | 0.486125 | − | 5.55644i | 0.0225678 | − | 0.257951i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.97439 | − | 1.38248i | −0.0914617 | − | 0.0640421i | ||||
\(467\) | −33.8235 | + | 9.06299i | −1.56517 | + | 0.419385i | −0.934295 | − | 0.356501i | \(-0.883970\pi\) |
−0.630872 | + | 0.775887i | \(0.717303\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.47160 | − | 4.04319i | 0.0679523 | − | 0.186697i | ||||
\(470\) | −24.6455 | + | 14.2291i | −1.13681 | + | 0.656338i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.86110 | + | 9.36850i | 0.361837 | + | 0.431220i | ||||
\(473\) | −0.378923 | − | 0.101532i | −0.0174229 | − | 0.00466845i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.34499 | − | 3.34499i | −0.153479 | − | 0.153479i | ||||
\(476\) | −3.21674 | − | 4.59399i | −0.147439 | − | 0.210565i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −18.1443 | + | 6.60399i | −0.829902 | + | 0.302060i | ||||
\(479\) | 7.36452 | + | 15.7933i | 0.336493 | + | 0.721612i | 0.999639 | − | 0.0268783i | \(-0.00855666\pi\) |
−0.663145 | + | 0.748491i | \(0.730779\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.07270 | − | 4.64180i | 0.368084 | − | 0.211648i | ||||
\(482\) | − | 0.0489563i | − | 0.00222990i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.28558 | − | 3.53211i | −0.0584357 | − | 0.160551i | ||||
\(485\) | 7.09466 | + | 5.95313i | 0.322152 | + | 0.270318i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.1126 | + | 24.1126i | −1.09265 | + | 1.09265i | −0.0974024 | + | 0.995245i | \(0.531053\pi\) |
−0.995245 | + | 0.0974024i | \(0.968947\pi\) | |||||||
\(488\) | 3.18688 | + | 0.561934i | 0.144263 | + | 0.0254375i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.9697 | − | 9.20466i | 0.495560 | − | 0.415824i | ||||
\(491\) | 21.1432 | + | 12.2070i | 0.954178 | + | 0.550895i | 0.894376 | − | 0.447315i | \(-0.147620\pi\) |
0.0598019 | + | 0.998210i | \(0.480953\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 21.6696 | + | 7.88710i | 0.975951 | + | 0.355217i | ||||
\(494\) | 0.233625 | + | 2.67034i | 0.0105113 | + | 0.120144i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.69395 | − | 3.84736i | 0.120962 | − | 0.172752i | ||||
\(497\) | 5.80822 | − | 1.02415i | 0.260534 | − | 0.0459392i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 31.9048 | + | 14.8775i | 1.42826 | + | 0.666007i | 0.974349 | − | 0.225043i | \(-0.0722521\pi\) |
0.453907 | + | 0.891049i | \(0.350030\pi\) | |||||||
\(500\) | −5.78069 | − | 2.69558i | −0.258520 | − | 0.120550i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.48684 | + | 1.67279i | −0.423418 | + | 0.0746601i | ||||
\(503\) | 12.7986 | − | 18.2783i | 0.570661 | − | 0.814989i | −0.425274 | − | 0.905065i | \(-0.639822\pi\) |
0.995935 | + | 0.0900761i | \(0.0287110\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.26699 | + | 25.9118i | 0.100880 | + | 1.15306i | ||||
\(506\) | 2.76786 | + | 1.00742i | 0.123047 | + | 0.0447853i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 17.0685 | + | 9.85451i | 0.757292 | + | 0.437223i | ||||
\(509\) | 0.772986 | − | 0.648613i | 0.0342620 | − | 0.0287492i | −0.625496 | − | 0.780227i | \(-0.715103\pi\) |
0.659758 | + | 0.751478i | \(0.270659\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.362339 | + | 0.0638902i | 0.0160290 | + | 0.00282634i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.6645 | − | 8.94858i | −0.470391 | − | 0.394705i | ||||
\(515\) | −7.09789 | − | 19.5013i | −0.312770 | − | 0.859330i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 27.5943i | 1.21359i | ||||||||
\(518\) | 5.29255 | + | 6.33008i | 0.232542 | + | 0.278128i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.79551 | − | 3.85047i | −0.0787381 | − | 0.168854i | ||||
\(521\) | 8.30810 | − | 3.02390i | 0.363984 | − | 0.132479i | −0.153552 | − | 0.988141i | \(-0.549071\pi\) |
0.517537 | + | 0.855661i | \(0.326849\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.97982 | − | 9.96822i | −0.305206 | − | 0.435880i | 0.637025 | − | 0.770843i | \(-0.280165\pi\) |
−0.942231 | + | 0.334964i | \(0.891276\pi\) | |||||||
\(524\) | −14.2746 | − | 14.2746i | −0.623590 | − | 0.623590i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.7981 | − | 3.42923i | −0.558022 | − | 0.149522i | ||||
\(527\) | 12.4819 | + | 14.8753i | 0.543718 | + | 0.647978i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.8810 | + | 10.9009i | −0.820912 | + | 0.473954i | ||||
\(530\) | 6.87854 | − | 18.8986i | 0.298785 | − | 0.820904i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.29421 | + | 0.614731i | −0.0994665 | + | 0.0266520i | ||||
\(533\) | 6.38198 | + | 4.46871i | 0.276434 | + | 0.193561i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.06222 | + | 12.1412i | −0.0459236 | + | 0.524909i | ||||
\(536\) | −1.34052 | + | 2.87476i | −0.0579018 | + | 0.124171i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −16.0108 | − | 1.40076i | −0.690275 | − | 0.0603912i | ||||
\(539\) | −2.41114 | − | 13.6743i | −0.103855 | − | 0.588993i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.44160 | − | 24.0404i | −0.276946 | − | 1.03358i | −0.954526 | − | 0.298128i | \(-0.903638\pi\) |
0.677580 | − | 0.735449i | \(-0.263029\pi\) | |||||||
\(542\) | 2.41629 | − | 0.211398i | 0.103788 | − | 0.00908031i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.06720 | + | 3.58050i | 0.0886306 | + | 0.153513i | ||||
\(545\) | 18.7364 | − | 32.4523i | 0.802578 | − | 1.39011i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.68985 | − | 6.30661i | 0.0722528 | − | 0.269651i | −0.920344 | − | 0.391111i | \(-0.872091\pi\) |
0.992596 | + | 0.121460i | \(0.0387575\pi\) | |||||||
\(548\) | −2.24617 | + | 12.7386i | −0.0959514 | + | 0.544168i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.95530 | − | 4.16994i | 0.253935 | − | 0.177807i | ||||
\(551\) | 6.27764 | − | 7.48140i | 0.267437 | − | 0.318719i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.16490 | − | 3.80736i | 0.347207 | − | 0.161905i | ||||
\(554\) | −28.1079 | −1.19419 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.4898 | −0.784142 | ||||||||
\(557\) | −16.8705 | + | 7.86685i | −0.714827 | + | 0.333329i | −0.745781 | − | 0.666192i | \(-0.767923\pi\) |
0.0309538 | + | 0.999521i | \(0.490146\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.143455 | − | 0.170963i | 0.00606749 | − | 0.00723095i | ||||
\(560\) | 3.08368 | − | 2.15922i | 0.130309 | − | 0.0912435i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.832371 | + | 4.72061i | −0.0351114 | + | 0.199127i | ||||
\(563\) | 4.50975 | − | 16.8306i | 0.190063 | − | 0.709325i | −0.803427 | − | 0.595404i | \(-0.796992\pi\) |
0.993490 | − | 0.113921i | \(-0.0363412\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.21357 | + | 7.29812i | −0.177266 | + | 0.307034i | ||||
\(566\) | 2.83028 | + | 4.90219i | 0.118966 | + | 0.206054i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.33136 | + | 0.378945i | −0.181740 | + | 0.0159002i | ||||
\(569\) | 6.29363 | + | 23.4881i | 0.263843 | + | 0.984674i | 0.962955 | + | 0.269662i | \(0.0869120\pi\) |
−0.699112 | + | 0.715012i | \(0.746421\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.13085 | + | 23.4272i | 0.172871 | + | 0.980399i | 0.940573 | + | 0.339592i | \(0.110289\pi\) |
−0.767702 | + | 0.640807i | \(0.778600\pi\) | |||||||
\(572\) | −4.10389 | − | 0.359044i | −0.171592 | − | 0.0150124i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.91747 | + | 6.25653i | −0.121773 | + | 0.261142i | ||||
\(575\) | 0.257741 | − | 2.94599i | 0.0107485 | − | 0.122856i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −34.3983 | − | 24.0859i | −1.43202 | − | 1.00271i | −0.994636 | − | 0.103434i | \(-0.967017\pi\) |
−0.437382 | − | 0.899276i | \(-0.644094\pi\) | |||||||
\(578\) | −0.0901351 | + | 0.0241516i | −0.00374913 | + | 0.00100458i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.29415 | + | 14.5456i | −0.219828 | + | 0.603972i | ||||
\(581\) | −5.67779 | + | 3.27808i | −0.235555 | + | 0.135998i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.5350 | − | 14.9386i | −0.519147 | − | 0.618696i | ||||
\(584\) | −0.261997 | − | 0.0702018i | −0.0108415 | − | 0.00290497i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −20.2134 | − | 20.2134i | −0.835008 | − | 0.835008i | ||||
\(587\) | −0.983918 | − | 1.40518i | −0.0406106 | − | 0.0579980i | 0.798333 | − | 0.602216i | \(-0.205715\pi\) |
−0.838944 | + | 0.544218i | \(0.816826\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.72789 | − | 2.81272i | 0.318422 | − | 0.115896i | ||||
\(590\) | −14.3436 | − | 30.7599i | −0.590515 | − | 1.26636i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.48013 | − | 4.98886i | −0.143032 | − | 0.205041i | ||||
\(593\) | − | 22.4283i | − | 0.921020i | −0.887655 | − | 0.460510i | \(-0.847667\pi\) | ||
0.887655 | − | 0.460510i | \(-0.152333\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.32316 | + | 14.6253i | 0.218228 | + | 0.599577i | ||||
\(596\) | 0.494349 | + | 0.414808i | 0.0202493 | + | 0.0169912i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.18491 | + | 1.18491i | −0.0484545 | + | 0.0484545i | ||||
\(599\) | 11.3133 | + | 1.99483i | 0.462248 | + | 0.0815067i | 0.399922 | − | 0.916549i | \(-0.369037\pi\) |
0.0623255 | + | 0.998056i | \(0.480148\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.8035 | − | 16.6171i | 0.807803 | − | 0.677827i | −0.142279 | − | 0.989827i | \(-0.545443\pi\) |
0.950082 | + | 0.311999i | \(0.100999\pi\) | |||||||
\(602\) | 0.171255 | + | 0.0988744i | 0.00697985 | + | 0.00402982i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.6954 | − | 4.25678i | −0.475879 | − | 0.173206i | ||||
\(605\) | 0.909154 | + | 10.3917i | 0.0369624 | + | 0.422482i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −15.6819 | + | 22.3960i | −0.636507 | + | 0.909027i | −0.999743 | − | 0.0226707i | \(-0.992783\pi\) |
0.363236 | + | 0.931697i | \(0.381672\pi\) | |||||||
\(608\) | 1.72436 | − | 0.304051i | 0.0699321 | − | 0.0123309i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.13923 | − | 3.79538i | −0.329548 | − | 0.153671i | ||||
\(611\) | −14.2277 | − | 6.63449i | −0.575592 | − | 0.268403i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.4650 | − | 2.55057i | 0.584236 | − | 0.103017i | 0.126285 | − | 0.991994i | \(-0.459695\pi\) |
0.457951 | + | 0.888977i | \(0.348584\pi\) | |||||||
\(614\) | 3.33991 | − | 4.76989i | 0.134788 | − | 0.192497i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.318136 | − | 3.63632i | −0.0128181 | − | 0.146511i | ||||
\(617\) | −44.2733 | − | 16.1141i | −1.78237 | − | 0.648731i | −0.999653 | − | 0.0263596i | \(-0.991608\pi\) |
−0.782722 | − | 0.622372i | \(-0.786169\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −30.5984 | − | 17.6660i | −1.22985 | − | 0.710057i | −0.262855 | − | 0.964835i | \(-0.584664\pi\) |
−0.966999 | + | 0.254779i | \(0.917997\pi\) | |||||||
\(620\) | −9.98493 | + | 8.37835i | −0.401005 | + | 0.336483i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −26.4161 | − | 4.65787i | −1.05919 | − | 0.186764i | ||||
\(623\) | 6.57375 | − | 6.57375i | 0.263372 | − | 0.263372i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.9077 | + | 20.0610i | 0.956309 | + | 0.802439i | ||||
\(626\) | −2.41316 | − | 6.63010i | −0.0964492 | − | 0.264992i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 17.5721i | 0.701203i | ||||||||
\(629\) | 23.6471 | − | 8.55961i | 0.942872 | − | 0.341294i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.14015 | − | 15.3121i | −0.284245 | − | 0.609565i | 0.711401 | − | 0.702787i | \(-0.248061\pi\) |
−0.995645 | + | 0.0932220i | \(0.970283\pi\) | |||||||
\(632\) | −6.24092 | + | 2.27151i | −0.248251 | + | 0.0903558i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.67177 | − | 8.10013i | −0.225255 | − | 0.321697i | ||||
\(635\) | −38.6761 | − | 38.6761i | −1.53481 | − | 1.53481i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.63022 | + | 2.04451i | 0.302320 | + | 0.0810065i | ||||
\(638\) | 9.64773 | + | 11.4977i | 0.381957 | + | 0.455199i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.40338 | + | 1.38759i | −0.0950021 | + | 0.0548495i | ||||
\(641\) | −3.08971 | + | 8.48891i | −0.122036 | + | 0.335292i | −0.985635 | − | 0.168887i | \(-0.945983\pi\) |
0.863599 | + | 0.504179i | \(0.168205\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.7873 | + | 7.44559i | −1.09583 | + | 0.293625i | −0.761064 | − | 0.648677i | \(-0.775322\pi\) |
−0.334762 | + | 0.942303i | \(0.608656\pi\) | |||||||
\(644\) | −1.21627 | − | 0.851642i | −0.0479278 | − | 0.0335594i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.630937 | + | 7.21164i | −0.0248239 | + | 0.283738i | ||||
\(647\) | 1.38466 | − | 2.96942i | 0.0544367 | − | 0.116740i | −0.877208 | − | 0.480111i | \(-0.840596\pi\) |
0.931645 | + | 0.363371i | \(0.118374\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −32.7843 | − | 2.86825i | −1.28690 | − | 0.112589i | ||||
\(650\) | 0.718207 | + | 4.07315i | 0.0281704 | + | 0.159762i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.01590 | − | 11.2555i | −0.118112 | − | 0.440800i | ||||
\(653\) | 26.6996 | − | 2.33591i | 1.04484 | − | 0.0914112i | 0.448208 | − | 0.893929i | \(-0.352063\pi\) |
0.596628 | + | 0.802518i | \(0.296507\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 28.0119 | + | 48.5180i | 1.09452 | + | 1.89576i | ||||
\(656\) | 2.54458 | − | 4.40733i | 0.0993490 | − | 0.172078i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 3.60016 | − | 13.4360i | 0.140349 | − | 0.523789i | ||||
\(659\) | 2.20416 | − | 12.5004i | 0.0858620 | − | 0.486948i | −0.911305 | − | 0.411731i | \(-0.864924\pi\) |
0.997167 | − | 0.0752162i | \(-0.0239647\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −41.3646 | + | 28.9638i | −1.60890 | + | 1.12656i | −0.696264 | + | 0.717786i | \(0.745156\pi\) |
−0.912634 | + | 0.408777i | \(0.865955\pi\) | |||||||
\(662\) | −20.0484 | + | 23.8927i | −0.779202 | + | 0.928616i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.38039 | − | 2.04261i | 0.169992 | − | 0.0792686i | ||||
\(665\) | 6.59146 | 0.255606 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.10528 | 0.236398 | ||||||||
\(668\) | 4.23656 | − | 1.97554i | 0.163917 | − | 0.0764360i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.65831 | − | 6.74331i | 0.218600 | − | 0.260517i | ||||
\(671\) | −7.13320 | + | 4.99472i | −0.275374 | + | 0.192819i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.03500 | − | 34.2262i | 0.232632 | − | 1.31932i | −0.614911 | − | 0.788597i | \(-0.710808\pi\) |
0.847543 | − | 0.530726i | \(-0.178081\pi\) | |||||||
\(674\) | 2.10245 | − | 7.84647i | 0.0809835 | − | 0.302235i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.32818 | + | 9.22868i | −0.204930 | + | 0.354949i | ||||
\(677\) | −4.30315 | − | 7.45327i | −0.165383 | − | 0.286452i | 0.771408 | − | 0.636341i | \(-0.219553\pi\) |
−0.936791 | + | 0.349888i | \(0.886219\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.50964 | + | 0.394542i | −0.173064 | + | 0.0151411i | ||||
\(680\) | −2.96963 | − | 11.0828i | −0.113880 | − | 0.425006i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.19469 | + | 12.4467i | 0.0840392 | + | 0.476610i | ||||
\(683\) | −21.1770 | − | 1.85275i | −0.810315 | − | 0.0708934i | −0.325536 | − | 0.945530i | \(-0.605545\pi\) |
−0.484780 | + | 0.874636i | \(0.661100\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.1709 | − | 32.5342i | 0.579652 | − | 1.24307i | ||||
\(686\) | −1.43761 | + | 16.4319i | −0.0548882 | + | 0.627374i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.119417 | − | 0.0836167i | −0.00455273 | − | 0.00318786i | ||||
\(689\) | 10.7162 | − | 2.87140i | 0.408255 | − | 0.109392i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.8540 | + | 32.5686i | −0.450948 | + | 1.23897i | 0.481110 | + | 0.876660i | \(0.340234\pi\) |
−0.932058 | + | 0.362309i | \(0.881989\pi\) | |||||||
\(692\) | −14.6190 | + | 8.44027i | −0.555730 | + | 0.320851i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.85205 | + | 4.59069i | 0.146222 | + | 0.174260i | ||||
\(695\) | 49.5642 | + | 13.2807i | 1.88008 | + | 0.503765i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 14.8780 | + | 14.8780i | 0.563543 | + | 0.563543i | ||||
\(698\) | 6.07375 | + | 8.67421i | 0.229895 | + | 0.328324i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.44375 | + | 1.25342i | −0.130161 | + | 0.0473749i | ||||
\(701\) | −10.5239 | − | 22.5686i | −0.397482 | − | 0.852403i | −0.998582 | − | 0.0532295i | \(-0.983049\pi\) |
0.601100 | − | 0.799174i | \(-0.294729\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.0187967 | − | 10.6507i | 0.000708930 | − | 0.401698i | ||||
\(704\) | 2.69095i | 0.101419i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.92221 | + | 10.7762i | 0.147614 | + | 0.405567i | ||||
\(707\) | −9.73929 | − | 8.17223i | −0.366284 | − | 0.307349i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 24.2046 | − | 24.2046i | 0.909023 | − | 0.909023i | −0.0871702 | − | 0.996193i | \(-0.527782\pi\) |
0.996193 | + | 0.0871702i | \(0.0277824\pi\) | |||||||
\(710\) | 11.8829 | + | 2.09528i | 0.445959 | + | 0.0786345i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.25013 | + | 4.40538i | −0.196757 | + | 0.165099i | ||||
\(713\) | 4.45228 | + | 2.57053i | 0.166739 | + | 0.0962670i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.7431 | + | 3.91017i | 0.401769 | + | 0.146232i | ||||
\(716\) | 0.0735588 | + | 0.840781i | 0.00274902 | + | 0.0314215i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 16.6250 | − | 23.7430i | 0.620441 | − | 0.886082i | ||||
\(719\) | −18.8332 | + | 3.32080i | −0.702359 | + | 0.123845i | −0.513412 | − | 0.858143i | \(-0.671619\pi\) |
−0.188947 | + | 0.981987i | \(0.560507\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.19333 | + | 4.28692i | 0.342377 | + | 0.159653i | ||||
\(722\) | −14.4412 | − | 6.73405i | −0.537447 | − | 0.250616i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 23.9891 | − | 4.22993i | 0.891549 | − | 0.157204i | ||||
\(725\) | 8.64325 | − | 12.3438i | 0.321002 | − | 0.458439i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.37674 | + | 50.0263i | 0.162324 | + | 1.85537i | 0.444205 | + | 0.895925i | \(0.353486\pi\) |
−0.281881 | + | 0.959449i | \(0.590958\pi\) | |||||||
\(728\) | 1.95139 | + | 0.710247i | 0.0723233 | + | 0.0263235i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.651892 | + | 0.376370i | 0.0241276 | + | 0.0139301i | ||||
\(731\) | 0.461709 | − | 0.387420i | 0.0170769 | − | 0.0143293i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −34.9543 | − | 6.16338i | −1.29107 | − | 0.227650i | −0.514393 | − | 0.857555i | \(-0.671983\pi\) |
−0.776672 | + | 0.629905i | \(0.783094\pi\) | |||||||
\(734\) | 12.6945 | − | 12.6945i | 0.468563 | − | 0.468563i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.838509 | + | 0.703592i | 0.0309078 | + | 0.0259348i | ||||
\(737\) | −2.91933 | − | 8.02080i | −0.107535 | − | 0.295450i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.68216i | 0.172236i | 0.996285 | + | 0.0861180i | \(0.0274462\pi\) | ||||
−0.996285 | + | 0.0861180i | \(0.972554\pi\) | |||||||
\(740\) | 5.74558 | + | 15.8729i | 0.211212 | + | 0.583501i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.15444 | + | 8.90922i | 0.152514 | + | 0.327068i | ||||
\(743\) | 34.8359 | − | 12.6792i | 1.27800 | − | 0.465155i | 0.388232 | − | 0.921562i | \(-0.373086\pi\) |
0.889771 | + | 0.456406i | \(0.150864\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.02722 | − | 1.46702i | −0.0376344 | − | 0.0537476i | ||||
\(746\) | 6.89117 | + | 6.89117i | 0.252304 | + | 0.252304i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.7464 | − | 2.87948i | −0.392927 | − | 0.105284i | ||||
\(749\) | −3.82916 | − | 4.56341i | −0.139914 | − | 0.166743i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.7605 | + | 7.36726i | −0.465636 | + | 0.268835i | −0.714411 | − | 0.699726i | \(-0.753305\pi\) |
0.248775 | + | 0.968561i | \(0.419972\pi\) | |||||||
\(752\) | −3.50724 | + | 9.63606i | −0.127896 | + | 0.351391i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.24787 | + | 2.21001i | −0.300370 | + | 0.0804838i | ||||
\(755\) | 28.2935 | + | 19.8113i | 1.02971 | + | 0.721008i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.35699 | + | 49.8006i | −0.158358 | + | 1.81004i | 0.337171 | + | 0.941444i | \(0.390530\pi\) |
−0.495528 | + | 0.868592i | \(0.665026\pi\) | |||||||
\(758\) | −7.84719 | + | 16.8283i | −0.285023 | + | 0.611233i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −4.84076 | − | 0.423512i | −0.175593 | − | 0.0153624i | ||||
\(761\) | −5.93150 | − | 33.6392i | −0.215017 | − | 1.21942i | −0.880878 | − | 0.473344i | \(-0.843047\pi\) |
0.665861 | − | 0.746076i | \(-0.268064\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.74058 | + | 17.6921i | 0.171620 | + | 0.640496i | ||||
\(764\) | −23.0302 | + | 2.01488i | −0.833205 | + | 0.0728959i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.622934 | + | 1.07895i | 0.0225075 | + | 0.0389841i | ||||
\(767\) | 9.36121 | − | 16.2141i | 0.338014 | − | 0.585457i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.8103 | + | 51.5408i | −0.498012 | + | 1.85861i | 0.0144461 | + | 0.999896i | \(0.495402\pi\) |
−0.512458 | + | 0.858712i | \(0.671265\pi\) | |||||||
\(770\) | −1.75906 | + | 9.97612i | −0.0633921 | + | 0.359514i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −12.6926 | + | 8.88745i | −0.456817 | + | 0.319866i | ||||
\(773\) | −13.2760 | + | 15.8218i | −0.477506 | + | 0.569070i | −0.949994 | − | 0.312267i | \(-0.898912\pi\) |
0.472488 | + | 0.881337i | \(0.343356\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.5003 | − | 5.36266i | 0.413102 | − | 0.192632i | ||||
\(776\) | 3.33722 | 0.119799 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −32.7289 | −1.17339 | ||||||||
\(779\) | 8.07603 | − | 3.76592i | 0.289354 | − | 0.134928i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.52060 | − | 8.96270i | 0.269108 | − | 0.320711i | ||||
\(782\) | −3.70707 | + | 2.59572i | −0.132565 | + | 0.0928228i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.896020 | − | 5.08158i | 0.0320007 | − | 0.181485i | ||||
\(785\) | 12.6215 | − | 47.1043i | 0.450482 | − | 1.68122i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.7603 | − | 48.0823i | 0.989549 | − | 1.71395i | 0.369898 | − | 0.929073i | \(-0.379393\pi\) |
0.619652 | − | 0.784877i | \(-0.287274\pi\) | |||||||
\(788\) | 11.7652 | + | 20.3780i | 0.419119 | + | 0.725935i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 18.3612 | − | 1.60639i | 0.653261 | − | 0.0571529i | ||||
\(791\) | −1.06610 | − | 3.97872i | −0.0379060 | − | 0.141467i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.860262 | − | 4.87879i | −0.0305488 | − | 0.173251i | ||||
\(794\) | 24.7379 | + | 2.16428i | 0.877915 | + | 0.0768076i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.83685 | − | 6.08365i | 0.100550 | − | 0.215629i | ||||
\(797\) | −0.565149 | + | 6.45969i | −0.0200186 | + | 0.228814i | 0.979594 | + | 0.200986i | \(0.0644146\pi\) |
−0.999613 | + | 0.0278278i | \(0.991141\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −34.7289 | − | 24.3175i | −1.22862 | − | 0.860290i | ||||
\(800\) | 2.60962 | − | 0.699246i | 0.0922640 | − | 0.0247221i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 6.68435 | − | 18.3651i | 0.236033 | − | 0.648494i | ||||
\(803\) | 0.632103 | − | 0.364945i | 0.0223064 | − | 0.0128786i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.64866 | + | 3.15655i | 0.0933529 | + | 0.111254i | ||||
\(806\) | −6.94525 | − | 1.86097i | −0.244636 | − | 0.0655500i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.62745 | + | 6.62745i | 0.233153 | + | 0.233153i | ||||
\(809\) | 24.6778 | + | 35.2435i | 0.867624 | + | 1.23910i | 0.969695 | + | 0.244318i | \(0.0785642\pi\) |
−0.102071 | + | 0.994777i | \(0.532547\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.7929 | + | 10.1158i | −0.975940 | + | 0.355213i | −0.780260 | − | 0.625455i | \(-0.784913\pi\) |
−0.195679 | + | 0.980668i | \(0.562691\pi\) | |||||||
\(812\) | −3.19752 | − | 6.85709i | −0.112211 | − | 0.240637i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 16.1147 | + | 2.87079i | 0.564819 | + | 0.100621i | ||||
\(815\) | 32.3381i | 1.13275i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.0873032 | − | 0.239864i | −0.00305435 | − | 0.00839177i | ||||
\(818\) | 15.3307 | + | 12.8640i | 0.536025 | + | 0.449779i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.98672 | + | 9.98672i | −0.348752 | + | 0.348752i | ||||
\(821\) | −8.42050 | − | 1.48476i | −0.293877 | − | 0.0518185i | 0.0247657 | − | 0.999693i | \(-0.492116\pi\) |
−0.318643 | + | 0.947875i | \(0.603227\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.1828 | − | 32.0392i | 1.33097 | − | 1.11682i | 0.347119 | − | 0.937821i | \(-0.387160\pi\) |
0.983850 | − | 0.178995i | \(-0.0572846\pi\) | |||||||
\(824\) | −6.47613 | − | 3.73900i | −0.225607 | − | 0.130254i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 15.5888 | + | 5.67388i | 0.542405 | + | 0.197419i | ||||
\(827\) | 2.16286 | + | 24.7216i | 0.0752099 | + | 0.859654i | 0.936300 | + | 0.351201i | \(0.114227\pi\) |
−0.861090 | + | 0.508452i | \(0.830218\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.63776 | − | 12.3360i | 0.300002 | − | 0.428447i | −0.640643 | − | 0.767839i | \(-0.721332\pi\) |
0.940645 | + | 0.339392i | \(0.110221\pi\) | |||||||
\(830\) | −13.2093 | + | 2.32916i | −0.458503 | + | 0.0808464i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.38746 | − | 0.646985i | −0.0481016 | − | 0.0224302i | ||||
\(833\) | 19.3346 | + | 9.01590i | 0.669906 | + | 0.312382i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.7756 | + | 2.25269i | −0.442118 | + | 0.0779574i | ||||
\(836\) | −2.70255 | + | 3.85964i | −0.0934696 | + | 0.133488i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.421148 | − | 4.81374i | −0.0145483 | − | 0.166288i | ||||
\(839\) | 40.4395 | + | 14.7188i | 1.39613 | + | 0.508148i | 0.927026 | − | 0.374997i | \(-0.122356\pi\) |
0.469099 | + | 0.883145i | \(0.344579\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.82760 | + | 1.05516i | 0.0630207 | + | 0.0363850i | ||||
\(842\) | −3.41593 | + | 2.86630i | −0.117721 | + | 0.0987794i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −6.70924 | − | 1.18302i | −0.230942 | − | 0.0407213i | ||||
\(845\) | 20.9116 | − | 20.9116i | 0.719379 | − | 0.719379i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.90585 | − | 3.27739i | −0.134206 | − | 0.112613i | ||||
\(848\) | −2.47858 | − | 6.80985i | −0.0851149 | − | 0.233851i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.1698i | 0.383122i | ||||||||
\(851\) | 5.10799 | − | 4.27078i | 0.175100 | − | 0.146400i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.34409 | + | 5.02693i | 0.0802603 | + | 0.172119i | 0.942343 | − | 0.334649i | \(-0.108618\pi\) |
−0.862082 | + | 0.506768i | \(0.830840\pi\) | |||||||
\(854\) | 4.12489 | − | 1.50134i | 0.141151 | − | 0.0513747i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.51892 | + | 3.59740i | 0.0860951 | + | 0.122956i | ||||
\(857\) | −10.8517 | − | 10.8517i | −0.370687 | − | 0.370687i | 0.497041 | − | 0.867727i | \(-0.334420\pi\) |
−0.867727 | + | 0.497041i | \(0.834420\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −34.9875 | − | 9.37486i | −1.19376 | − | 0.319866i | −0.393387 | − | 0.919373i | \(-0.628697\pi\) |
−0.800370 | + | 0.599507i | \(0.795363\pi\) | |||||||
\(860\) | 0.260053 | + | 0.309919i | 0.00886773 | + | 0.0105682i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.0662 | + | 9.27582i | −0.547217 | + | 0.315936i | ||||
\(863\) | −7.68909 | + | 21.1256i | −0.261740 | + | 0.719124i | 0.737311 | + | 0.675554i | \(0.236095\pi\) |
−0.999050 | + | 0.0435701i | \(0.986127\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 45.2504 | − | 12.1248i | 1.53856 | − | 0.412256i | ||||
\(866\) | 6.51198 | + | 4.55974i | 0.221286 | + | 0.154946i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.555273 | − | 6.34680i | 0.0188472 | − | 0.215424i | ||||
\(869\) | 7.55295 | − | 16.1974i | 0.256216 | − | 0.549458i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.83745 | + | 0.423222i | 0.163911 | + | 0.0143403i | ||||
\(872\) | −2.34473 | − | 13.2976i | −0.0794026 | − | 0.450315i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.496051 | + | 1.85129i | 0.0167792 | + | 0.0626208i | ||||
\(875\) | −8.61906 | + | 0.754070i | −0.291377 | + | 0.0254922i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.3295 | + | 36.9438i | 0.720246 | + | 1.24750i | 0.960901 | + | 0.276892i | \(0.0893044\pi\) |
−0.240655 | + | 0.970611i | \(0.577362\pi\) | |||||||
\(878\) | 8.57310 | − | 14.8491i | 0.289328 | − | 0.501131i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.93283 | − | 7.21343i | 0.0651558 | − | 0.243165i | ||||
\(881\) | 2.21108 | − | 12.5396i | 0.0744931 | − | 0.422471i | −0.924640 | − | 0.380842i | \(-0.875634\pi\) |
0.999133 | − | 0.0416290i | \(-0.0132548\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.33065 | + | 1.63194i | −0.0784327 | + | 0.0549192i | −0.612135 | − | 0.790753i | \(-0.709689\pi\) |
0.533702 | + | 0.845672i | \(0.320800\pi\) | |||||||
\(884\) | 4.06843 | − | 4.84856i | 0.136836 | − | 0.163075i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 27.0423 | − | 12.6101i | 0.908505 | − | 0.423643i | ||||
\(887\) | −42.6779 | −1.43298 | −0.716492 | − | 0.697596i | \(-0.754253\pi\) | ||||
−0.716492 | + | 0.697596i | \(0.754253\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 26.7348 | 0.896656 | ||||||||
\(890\) | 17.2379 | − | 8.03817i | 0.577816 | − | 0.269440i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 8.24277 | − | 9.82335i | 0.275988 | − | 0.328910i | ||||
\(893\) | −14.7081 | + | 10.2987i | −0.492186 | + | 0.344632i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.406726 | − | 2.30666i | 0.0135953 | − | 0.0771030i | ||||
\(896\) | 0.351082 | − | 1.31026i | 0.0117288 | − | 0.0437726i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.07380 | + | 3.59193i | −0.0692037 | + | 0.119864i | ||||
\(899\) | 13.0985 | + | 22.6872i | 0.436859 | + | 0.756661i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.8476 | − | 2.61133i | 0.994368 | − | 0.0869959i | ||||
\(902\) | 3.54443 | + | 13.2280i | 0.118017 | + | 0.440445i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.527300 | + | 2.99047i | 0.0175377 | + | 0.0994615i | ||||
\(905\) | −67.3442 | − | 5.89185i | −2.23860 | − | 0.195852i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.31501 | + | 7.10907i | −0.110073 | + | 0.236053i | −0.953626 | − | 0.300993i | \(-0.902682\pi\) |
0.843553 | + | 0.537046i | \(0.180460\pi\) | |||||||
\(908\) | −1.46160 | + | 16.7062i | −0.0485050 | + | 0.554415i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.72079 | − | 3.30554i | −0.156493 | − | 0.109577i | ||||
\(911\) | 44.9264 | − | 12.0380i | 1.48848 | − | 0.398837i | 0.579256 | − | 0.815146i | \(-0.303343\pi\) |
0.909223 | + | 0.416309i | \(0.136676\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.44830 | + | 12.2216i | −0.147217 | + | 0.404476i | ||||
\(914\) | −21.1799 | + | 12.2282i | −0.700568 | + | 0.404473i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −14.2256 | − | 16.9534i | −0.470027 | − | 0.560156i | ||||
\(917\) | −26.4506 | − | 7.08742i | −0.873476 | − | 0.234047i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.6589 | − | 29.6589i | −0.978356 | − | 0.978356i | 0.0214146 | − | 0.999771i | \(-0.493183\pi\) |
−0.999771 | + | 0.0214146i | \(0.993183\pi\) | |||||||
\(920\) | −1.74236 | − | 2.48835i | −0.0574439 | − | 0.0820383i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 24.0314 | − | 8.74673i | 0.791433 | − | 0.288058i | ||||
\(923\) | 2.81303 | + | 6.03255i | 0.0925919 | + | 0.198564i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.40339 | − | 16.3736i | −0.0461433 | − | 0.538362i | ||||
\(926\) | 2.66967i | 0.0877309i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.90767 | + | 5.24129i | 0.0626224 | + | 0.172054i | ||||
\(929\) | 10.0235 | + | 8.41071i | 0.328860 | + | 0.275946i | 0.792235 | − | 0.610216i | \(-0.208917\pi\) |
−0.463375 | + | 0.886162i | \(0.653362\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.38865 | − | 6.38865i | 0.209380 | − | 0.209380i | ||||
\(932\) | 2.37366 | + | 0.418541i | 0.0777519 | + | 0.0137098i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.8244 | − | 22.5083i | 0.877720 | − | 0.736494i | ||||
\(935\) | 26.7388 | + | 15.4376i | 0.874452 | + | 0.504865i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 48.9981 | + | 17.8339i | 1.60070 | + | 0.582607i | 0.979570 | − | 0.201102i | \(-0.0644521\pi\) |
0.621129 | + | 0.783708i | \(0.286674\pi\) | |||||||
\(938\) | 0.375003 | + | 4.28630i | 0.0122443 | + | 0.139953i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 16.3229 | − | 23.3115i | 0.532395 | − | 0.760338i | ||||
\(941\) | −37.5432 | + | 6.61988i | −1.22387 | + | 0.215802i | −0.747992 | − | 0.663708i | \(-0.768982\pi\) |
−0.475881 | + | 0.879509i | \(0.657871\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.04864 | + | 2.35422i | 0.164406 | + | 0.0766640i | ||||
\(944\) | −11.0839 | − | 5.16850i | −0.360749 | − | 0.168220i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.386330 | − | 0.0681204i | 0.0125607 | − | 0.00221479i | ||||
\(947\) | −33.1019 | + | 47.2745i | −1.07567 | + | 1.53621i | −0.253191 | + | 0.967416i | \(0.581480\pi\) |
−0.822478 | + | 0.568797i | \(0.807409\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.0361904 | + | 0.413659i | 0.00117479 | + | 0.0134279i | ||||
\(950\) | 4.44525 | + | 1.61794i | 0.144223 | + | 0.0524929i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.85686 | + | 2.80411i | 0.157412 | + | 0.0908818i | ||||
\(953\) | −42.4220 | + | 35.5963i | −1.37418 | + | 1.15308i | −0.402874 | + | 0.915256i | \(0.631989\pi\) |
−0.971309 | + | 0.237821i | \(0.923567\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 63.1827 | + | 11.1408i | 2.04454 | + | 0.360508i | ||||
\(956\) | 13.6534 | − | 13.6534i | 0.441582 | − | 0.441582i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −13.3490 | − | 11.2012i | −0.431288 | − | 0.361893i | ||||
\(959\) | 6.00116 | + | 16.4881i | 0.193788 | + | 0.532427i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 8.94043i | − | 0.288401i | ||||||
\(962\) | −5.35464 | + | 7.61857i | −0.172641 | + | 0.245633i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.0206898 | + | 0.0443695i | 0.000666375 | + | 0.00142905i | ||||
\(965\) | 40.4077 | − | 14.7072i | 1.30077 | − | 0.473442i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10.6157 | − | 15.1607i | −0.341376 | − | 0.487536i | 0.611352 | − | 0.791359i | \(-0.290626\pi\) |
−0.952729 | + | 0.303823i | \(0.901737\pi\) | |||||||
\(968\) | 2.65787 | + | 2.65787i | 0.0854272 | + | 0.0854272i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.94585 | − | 2.39703i | −0.287234 | − | 0.0769641i | ||||
\(971\) | −17.8806 | − | 21.3093i | −0.573816 | − | 0.683847i | 0.398594 | − | 0.917128i | \(-0.369498\pi\) |
−0.972409 | + | 0.233281i | \(0.925054\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21.7207 | + | 12.5405i | −0.696335 | + | 0.402029i | ||||
\(974\) | 11.6630 | − | 32.0439i | 0.373707 | − | 1.02675i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.12578 | + | 0.837551i | −0.100054 | + | 0.0268093i | ||||
\(977\) | −0.578714 | − | 0.405220i | −0.0185147 | − | 0.0129641i | 0.564282 | − | 0.825582i | \(-0.309153\pi\) |
−0.582797 | + | 0.812618i | \(0.698042\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.60738 | − | 18.3724i | 0.0513719 | − | 0.587184i | ||||
\(980\) | −6.05185 | + | 12.9782i | −0.193319 | + | 0.414575i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −24.3211 | − | 2.12782i | −0.776119 | − | 0.0679016i | ||||
\(983\) | 0.855643 | + | 4.85259i | 0.0272908 | + | 0.154774i | 0.995408 | − | 0.0957243i | \(-0.0305167\pi\) |
−0.968117 | + | 0.250498i | \(0.919406\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.9013 | − | 63.0764i | −0.538519 | − | 2.00978i | ||||
\(986\) | −22.9726 | + | 2.00984i | −0.731596 | + | 0.0640063i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.34027 | − | 2.32142i | −0.0426397 | − | 0.0738541i | ||||
\(989\) | 0.0797857 | − | 0.138193i | 0.00253704 | − | 0.00439428i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.11901 | − | 26.5685i | 0.226143 | − | 0.843976i | −0.755801 | − | 0.654802i | \(-0.772752\pi\) |
0.981944 | − | 0.189174i | \(-0.0605811\pi\) | |||||||
\(992\) | −0.815584 | + | 4.62541i | −0.0258948 | + | 0.146857i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.83121 | + | 3.38285i | −0.153237 | + | 0.107298i | ||||
\(995\) | −11.9743 | + | 14.2704i | −0.379610 | + | 0.452401i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.941623 | − | 0.439086i | 0.0298215 | − | 0.0139060i | −0.407650 | − | 0.913138i | \(-0.633652\pi\) |
0.437472 | + | 0.899232i | \(0.355874\pi\) | |||||||
\(998\) | −35.2031 | −1.11433 | ||||||||
\(999\) | 0 | 0 |
(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 | 666.2.bs.a.89.1 | ✓ | 72 | |
3.2 | odd | 2 | inner | 666.2.bs.a.89.6 | yes | 72 | |
37.5 | odd | 36 | inner | 666.2.bs.a.449.6 | yes | 72 | |
111.5 | even | 36 | inner | 666.2.bs.a.449.1 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.bs.a.89.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
666.2.bs.a.89.6 | yes | 72 | 3.2 | odd | 2 | inner | |
666.2.bs.a.449.1 | yes | 72 | 111.5 | even | 36 | inner | |
666.2.bs.a.449.6 | yes | 72 | 37.5 | odd | 36 | inner |