Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [945,2,Mod(341,945)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(945, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("945.341");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 945 = 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 945.t (of order \(6\), degree \(2\), not 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: | \(7.54586299101\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 315) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 521.9 | ||
Character | \(\chi\) | \(=\) | 945.521 |
Dual form | 945.2.t.c.341.8 |
$q$-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 \(\left(\mathbb{Z}/945\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(596\) | \(757\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.103991i | 0.0735326i | 0.999324 | + | 0.0367663i | \(0.0117057\pi\) | ||||
−0.999324 | + | 0.0367663i | \(0.988294\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.98919 | 0.994593 | ||||||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.107447 | − | 2.64357i | −0.0406110 | − | 0.999175i | ||||
\(8\) | 0.414839i | 0.146668i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0900587 | + | 0.0519954i | 0.0284790 | + | 0.0164424i | ||||
\(11\) | −2.53457 | + | 1.46334i | −0.764202 | + | 0.441212i | −0.830802 | − | 0.556567i | \(-0.812118\pi\) |
0.0666004 | + | 0.997780i | \(0.478785\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.40454 | + | 1.38826i | −0.666899 | + | 0.385034i | −0.794901 | − | 0.606740i | \(-0.792477\pi\) |
0.128001 | + | 0.991774i | \(0.459144\pi\) | |||||||
\(14\) | 0.274907 | − | 0.0111734i | 0.0734719 | − | 0.00298623i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.93523 | 0.983808 | ||||||||
\(17\) | 3.62041 | − | 6.27073i | 0.878078 | − | 1.52088i | 0.0246300 | − | 0.999697i | \(-0.492159\pi\) |
0.853448 | − | 0.521179i | \(-0.174507\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.40301 | − | 3.69678i | 1.46895 | − | 0.848100i | 0.469558 | − | 0.882902i | \(-0.344413\pi\) |
0.999394 | + | 0.0348020i | \(0.0110800\pi\) | |||||||
\(20\) | 0.994593 | − | 1.72269i | 0.222398 | − | 0.385204i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.152173 | − | 0.263572i | −0.0324435 | − | 0.0561938i | ||||
\(23\) | 0.159465 | + | 0.0920672i | 0.0332508 | + | 0.0191973i | 0.516533 | − | 0.856267i | \(-0.327222\pi\) |
−0.483282 | + | 0.875464i | \(0.660556\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −0.144366 | − | 0.250050i | −0.0283126 | − | 0.0490388i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.213731 | − | 5.25855i | −0.0403914 | − | 0.993772i | ||||
\(29\) | 1.84819 | + | 1.06705i | 0.343201 | + | 0.198147i | 0.661686 | − | 0.749781i | \(-0.269841\pi\) |
−0.318486 | + | 0.947928i | \(0.603174\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.83342i | 0.508897i | 0.967086 | + | 0.254448i | \(0.0818939\pi\) | ||||
−0.967086 | + | 0.254448i | \(0.918106\pi\) | |||||||
\(32\) | 1.23891i | 0.219010i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.652098 | + | 0.376489i | 0.111834 | + | 0.0645673i | ||||
\(35\) | −2.34312 | − | 1.22873i | −0.396060 | − | 0.207694i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.26588 | − | 2.19256i | −0.208109 | − | 0.360455i | 0.743010 | − | 0.669281i | \(-0.233398\pi\) |
−0.951119 | + | 0.308825i | \(0.900064\pi\) | |||||||
\(38\) | 0.384431 | + | 0.665854i | 0.0623630 | + | 0.108016i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.359261 | + | 0.207419i | 0.0568041 | + | 0.0327959i | ||||
\(41\) | −3.74637 | − | 6.48890i | −0.585084 | − | 1.01340i | −0.994865 | − | 0.101211i | \(-0.967728\pi\) |
0.409781 | − | 0.912184i | \(-0.365605\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.223536 | − | 0.387176i | 0.0340889 | − | 0.0590438i | −0.848478 | − | 0.529231i | \(-0.822480\pi\) |
0.882567 | + | 0.470188i | \(0.155814\pi\) | |||||||
\(44\) | −5.04173 | + | 2.91085i | −0.760070 | + | 0.438827i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.00957414 | + | 0.0165829i | −0.00141163 | + | 0.00244501i | ||||
\(47\) | −0.588831 | −0.0858899 | −0.0429449 | − | 0.999077i | \(-0.513674\pi\) | ||||
−0.0429449 | + | 0.999077i | \(0.513674\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.97691 | + | 0.568084i | −0.996701 | + | 0.0811549i | ||||
\(50\) | 0.0900587 | − | 0.0519954i | 0.0127362 | − | 0.00735326i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.78308 | + | 2.76151i | −0.663293 | + | 0.382953i | ||||
\(53\) | −6.46888 | − | 3.73481i | −0.888570 | − | 0.513016i | −0.0150952 | − | 0.999886i | \(-0.504805\pi\) |
−0.873474 | + | 0.486870i | \(0.838138\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.92667i | 0.394632i | ||||||||
\(56\) | 1.09665 | − | 0.0445730i | 0.146547 | − | 0.00595631i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.110964 | + | 0.192195i | −0.0145703 | + | 0.0252364i | ||||
\(59\) | 8.14263 | 1.06008 | 0.530040 | − | 0.847973i | \(-0.322177\pi\) | ||||
0.530040 | + | 0.847973i | \(0.322177\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.6412i | 1.61854i | 0.587434 | + | 0.809272i | \(0.300138\pi\) | ||||
−0.587434 | + | 0.809272i | \(0.699862\pi\) | |||||||
\(62\) | −0.294649 | −0.0374205 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.74163 | 0.967704 | ||||||||
\(65\) | 2.77652i | 0.344385i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.10342 | 0.379143 | 0.189572 | − | 0.981867i | \(-0.439290\pi\) | ||||
0.189572 | + | 0.981867i | \(0.439290\pi\) | |||||||
\(68\) | 7.20166 | − | 12.4736i | 0.873330 | − | 1.51265i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.127777 | − | 0.243663i | 0.0152723 | − | 0.0291233i | ||||
\(71\) | − | 5.62459i | − | 0.667516i | −0.942659 | − | 0.333758i | \(-0.891683\pi\) | ||
0.942659 | − | 0.333758i | \(-0.108317\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.3988 | + | 6.58111i | 1.33413 | + | 0.770261i | 0.985930 | − | 0.167159i | \(-0.0534594\pi\) |
0.348201 | + | 0.937420i | \(0.386793\pi\) | |||||||
\(74\) | 0.228006 | − | 0.131640i | 0.0265052 | − | 0.0153028i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.7368 | − | 7.35359i | 1.46101 | − | 0.843514i | ||||
\(77\) | 4.14076 | + | 6.54308i | 0.471883 | + | 0.745654i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.11435 | −1.02544 | −0.512722 | − | 0.858555i | \(-0.671363\pi\) | ||||
−0.512722 | + | 0.858555i | \(0.671363\pi\) | |||||||
\(80\) | 1.96762 | − | 3.40801i | 0.219986 | − | 0.381027i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.674785 | − | 0.389587i | 0.0745176 | − | 0.0430227i | ||||
\(83\) | 4.90339 | − | 8.49292i | 0.538217 | − | 0.932219i | −0.460783 | − | 0.887513i | \(-0.652431\pi\) |
0.999000 | − | 0.0447065i | \(-0.0142353\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.62041 | − | 6.27073i | −0.392688 | − | 0.680156i | ||||
\(86\) | 0.0402627 | + | 0.0232457i | 0.00434164 | + | 0.00250665i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.607048 | − | 1.05144i | −0.0647115 | − | 0.112084i | ||||
\(89\) | 7.98030 | + | 13.8223i | 0.845910 | + | 1.46516i | 0.884829 | + | 0.465917i | \(0.154275\pi\) |
−0.0389185 | + | 0.999242i | \(0.512391\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.92832 | + | 6.20740i | 0.411800 | + | 0.650712i | ||||
\(92\) | 0.317206 | + | 0.183139i | 0.0330710 | + | 0.0190935i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 0.0612330i | − | 0.00631571i | ||||||
\(95\) | − | 7.39356i | − | 0.758564i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.69927 | − | 0.981074i | −0.172535 | − | 0.0996130i | 0.411246 | − | 0.911525i | \(-0.365094\pi\) |
−0.583781 | + | 0.811912i | \(0.698427\pi\) | |||||||
\(98\) | −0.0590755 | − | 0.725534i | −0.00596753 | − | 0.0732900i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.994593 | − | 1.72269i | −0.0994593 | − | 0.172269i | ||||
\(101\) | 2.85272 | + | 4.94105i | 0.283856 | + | 0.491653i | 0.972331 | − | 0.233607i | \(-0.0750529\pi\) |
−0.688475 | + | 0.725260i | \(0.741720\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.4398 | − | 6.02741i | −1.02866 | − | 0.593899i | −0.112061 | − | 0.993701i | \(-0.535745\pi\) |
−0.916601 | + | 0.399803i | \(0.869079\pi\) | |||||||
\(104\) | −0.575904 | − | 0.997496i | −0.0564721 | − | 0.0978125i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.388386 | − | 0.672704i | 0.0377234 | − | 0.0653388i | ||||
\(107\) | −2.07619 | + | 1.19869i | −0.200713 | + | 0.115882i | −0.596988 | − | 0.802250i | \(-0.703636\pi\) |
0.396275 | + | 0.918132i | \(0.370303\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.16660 | + | 8.94882i | −0.494871 | + | 0.857141i | −0.999983 | − | 0.00591270i | \(-0.998118\pi\) |
0.505112 | + | 0.863054i | \(0.331451\pi\) | |||||||
\(110\) | −0.304347 | −0.0290183 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.422827 | − | 10.4031i | −0.0399534 | − | 0.982997i | ||||
\(113\) | −7.32912 | + | 4.23147i | −0.689466 | + | 0.398063i | −0.803412 | − | 0.595424i | \(-0.796984\pi\) |
0.113946 | + | 0.993487i | \(0.463651\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.159465 | − | 0.0920672i | 0.0148702 | − | 0.00858531i | ||||
\(116\) | 3.67640 | + | 2.12257i | 0.341345 | + | 0.197076i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.846759i | 0.0779505i | ||||||||
\(119\) | −16.9661 | − | 8.89703i | −1.55528 | − | 0.815589i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.21730 | + | 2.10842i | −0.110664 | + | 0.191675i | ||||
\(122\) | −1.31457 | −0.119016 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.63620i | 0.506145i | ||||||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.15631 | 0.546284 | 0.273142 | − | 0.961974i | \(-0.411937\pi\) | ||||
0.273142 | + | 0.961974i | \(0.411937\pi\) | |||||||
\(128\) | 3.28287i | 0.290167i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.288733 | −0.0253235 | ||||||||
\(131\) | −10.4097 | + | 18.0301i | −0.909498 | + | 1.57530i | −0.0947339 | + | 0.995503i | \(0.530200\pi\) |
−0.814764 | + | 0.579793i | \(0.803133\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −10.4607 | − | 16.5296i | −0.907056 | − | 1.43330i | ||||
\(134\) | 0.322727i | 0.0278794i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.60134 | + | 1.50188i | 0.223063 | + | 0.128786i | ||||
\(137\) | −4.83774 | + | 2.79307i | −0.413316 | + | 0.238628i | −0.692214 | − | 0.721693i | \(-0.743364\pi\) |
0.278897 | + | 0.960321i | \(0.410031\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 12.4855 | − | 7.20849i | 1.05900 | − | 0.611416i | 0.133847 | − | 0.991002i | \(-0.457267\pi\) |
0.925157 | + | 0.379586i | \(0.123933\pi\) | |||||||
\(140\) | −4.66090 | − | 2.44418i | −0.393918 | − | 0.206571i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.584906 | 0.0490842 | ||||||||
\(143\) | 4.06298 | − | 7.03730i | 0.339764 | − | 0.588488i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.84819 | − | 1.06705i | 0.153484 | − | 0.0886140i | ||||
\(146\) | −0.684375 | + | 1.18537i | −0.0566393 | + | 0.0981021i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.51807 | − | 4.36142i | −0.206984 | − | 0.358506i | ||||
\(149\) | 1.34036 | + | 0.773860i | 0.109807 | + | 0.0633971i | 0.553898 | − | 0.832585i | \(-0.313140\pi\) |
−0.444091 | + | 0.895982i | \(0.646473\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.65406 | + | 13.2572i | 0.622878 | + | 1.07886i | 0.988947 | + | 0.148269i | \(0.0473701\pi\) |
−0.366069 | + | 0.930588i | \(0.619297\pi\) | |||||||
\(152\) | 1.53357 | + | 2.65622i | 0.124389 | + | 0.215448i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.680420 | + | 0.430601i | −0.0548298 | + | 0.0346988i | ||||
\(155\) | 2.45381 | + | 1.41671i | 0.197095 | + | 0.113793i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 4.42545i | − | 0.353189i | −0.984284 | − | 0.176595i | \(-0.943492\pi\) | ||
0.984284 | − | 0.176595i | \(-0.0565082\pi\) | |||||||
\(158\) | − | 0.947808i | − | 0.0754036i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.07292 | + | 0.619453i | 0.0848220 | + | 0.0489720i | ||||
\(161\) | 0.226252 | − | 0.431449i | 0.0178312 | − | 0.0340029i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.67530 | − | 4.63375i | −0.209546 | − | 0.362944i | 0.742026 | − | 0.670371i | \(-0.233865\pi\) |
−0.951571 | + | 0.307428i | \(0.900532\pi\) | |||||||
\(164\) | −7.45222 | − | 12.9076i | −0.581920 | − | 1.00792i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.883186 | + | 0.509907i | 0.0685485 | + | 0.0395765i | ||||
\(167\) | 10.2622 | + | 17.7747i | 0.794116 | + | 1.37545i | 0.923399 | + | 0.383841i | \(0.125399\pi\) |
−0.129284 | + | 0.991608i | \(0.541268\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.64546 | + | 4.58207i | −0.203497 | + | 0.352467i | ||||
\(170\) | 0.652098 | − | 0.376489i | 0.0500136 | − | 0.0288754i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.444655 | − | 0.770165i | 0.0339046 | − | 0.0587245i | ||||
\(173\) | 21.3176 | 1.62074 | 0.810372 | − | 0.585915i | \(-0.199265\pi\) | ||||
0.810372 | + | 0.585915i | \(0.199265\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.23567 | + | 1.41484i | −0.169001 | + | 0.106952i | ||||
\(176\) | −9.97413 | + | 5.75857i | −0.751828 | + | 0.434068i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.43739 | + | 0.829878i | −0.107737 | + | 0.0622020i | ||||
\(179\) | 2.03822 | + | 1.17677i | 0.152344 | + | 0.0879556i | 0.574234 | − | 0.818691i | \(-0.305300\pi\) |
−0.421890 | + | 0.906647i | \(0.638633\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 1.64325i | − | 0.122142i | −0.998133 | − | 0.0610711i | \(-0.980548\pi\) | ||
0.998133 | − | 0.0610711i | \(-0.0194516\pi\) | |||||||
\(182\) | −0.645513 | + | 0.408509i | −0.0478486 | + | 0.0302807i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.0381930 | + | 0.0661522i | −0.00281563 | + | 0.00487681i | ||||
\(185\) | −2.53176 | −0.186138 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 21.1915i | 1.54967i | ||||||||
\(188\) | −1.17130 | −0.0854255 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.768862 | 0.0557791 | ||||||||
\(191\) | 13.5068i | 0.977319i | 0.872475 | + | 0.488659i | \(0.162514\pi\) | ||||
−0.872475 | + | 0.488659i | \(0.837486\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.7119 | −1.13097 | −0.565485 | − | 0.824759i | \(-0.691311\pi\) | ||||
−0.565485 | + | 0.824759i | \(0.691311\pi\) | |||||||
\(194\) | 0.102023 | − | 0.176708i | 0.00732480 | − | 0.0126869i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.8784 | + | 1.13003i | −0.991312 | + | 0.0807161i | ||||
\(197\) | 24.6295i | 1.75478i | 0.479781 | + | 0.877388i | \(0.340716\pi\) | ||||
−0.479781 | + | 0.877388i | \(0.659284\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.4687 | − | 8.35349i | −1.02566 | − | 0.592163i | −0.109919 | − | 0.993941i | \(-0.535059\pi\) |
−0.915737 | + | 0.401778i | \(0.868392\pi\) | |||||||
\(200\) | 0.359261 | − | 0.207419i | 0.0254036 | − | 0.0146668i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.513824 | + | 0.296656i | −0.0361525 | + | 0.0208727i | ||||
\(203\) | 2.62225 | − | 5.00047i | 0.184046 | − | 0.350964i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.49273 | −0.523315 | ||||||||
\(206\) | 0.626795 | − | 1.08564i | 0.0436709 | − | 0.0756402i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.46242 | + | 5.46313i | −0.656101 | + | 0.378800i | ||||
\(209\) | −10.8193 | + | 18.7395i | −0.748384 | + | 1.29624i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.73218 | − | 6.46432i | −0.256934 | − | 0.445022i | 0.708485 | − | 0.705726i | \(-0.249379\pi\) |
−0.965419 | + | 0.260703i | \(0.916046\pi\) | |||||||
\(212\) | −12.8678 | − | 7.42923i | −0.883765 | − | 0.510242i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.124653 | − | 0.215905i | −0.00852109 | − | 0.0147590i | ||||
\(215\) | −0.223536 | − | 0.387176i | −0.0152450 | − | 0.0264052i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 7.49034 | − | 0.304441i | 0.508477 | − | 0.0206668i | ||||
\(218\) | −0.930594 | − | 0.537279i | −0.0630278 | − | 0.0363891i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.82169i | 0.392498i | ||||||||
\(221\) | 20.1043i | 1.35236i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.35222 | − | 5.39951i | −0.626271 | − | 0.361578i | 0.153036 | − | 0.988221i | \(-0.451095\pi\) |
−0.779306 | + | 0.626643i | \(0.784428\pi\) | |||||||
\(224\) | 3.27513 | − | 0.133116i | 0.218829 | − | 0.00889419i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.440034 | − | 0.762161i | −0.0292706 | − | 0.0506982i | ||||
\(227\) | −6.02014 | − | 10.4272i | −0.399571 | − | 0.692077i | 0.594102 | − | 0.804390i | \(-0.297507\pi\) |
−0.993673 | + | 0.112313i | \(0.964174\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.4214 | − | 6.01682i | −0.688668 | − | 0.397603i | 0.114445 | − | 0.993430i | \(-0.463491\pi\) |
−0.803113 | + | 0.595827i | \(0.796824\pi\) | |||||||
\(230\) | 0.00957414 | + | 0.0165829i | 0.000631300 | + | 0.00109344i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.442655 | + | 0.766701i | −0.0290617 | + | 0.0503364i | ||||
\(233\) | −20.9187 | + | 12.0774i | −1.37043 | + | 0.791218i | −0.990982 | − | 0.133995i | \(-0.957220\pi\) |
−0.379448 | + | 0.925213i | \(0.623886\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.294416 | + | 0.509943i | −0.0192056 | + | 0.0332650i | ||||
\(236\) | 16.1972 | 1.05435 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.925209 | − | 1.76432i | 0.0599724 | − | 0.114364i | ||||
\(239\) | 13.7317 | − | 7.92802i | 0.888232 | − | 0.512821i | 0.0148680 | − | 0.999889i | \(-0.495267\pi\) |
0.873364 | + | 0.487069i | \(0.161934\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.43827 | − | 2.56244i | 0.285894 | − | 0.165061i | −0.350194 | − | 0.936677i | \(-0.613885\pi\) |
0.636089 | + | 0.771616i | \(0.280551\pi\) | |||||||
\(242\) | −0.219257 | − | 0.126588i | −0.0140943 | − | 0.00813737i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 25.1458i | 1.60979i | ||||||||
\(245\) | −2.99648 | + | 6.32622i | −0.191438 | + | 0.404168i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.2642 | + | 17.7781i | −0.653095 | + | 1.13119i | ||||
\(248\) | −1.17541 | −0.0746387 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 0.103991i | − | 0.00657695i | ||||||
\(251\) | 21.3411 | 1.34704 | 0.673519 | − | 0.739170i | \(-0.264782\pi\) | ||||
0.673519 | + | 0.739170i | \(0.264782\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.538901 | −0.0338804 | ||||||||
\(254\) | 0.640200i | 0.0401697i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.1419 | 0.946367 | ||||||||
\(257\) | −5.32111 | + | 9.21643i | −0.331922 | + | 0.574905i | −0.982889 | − | 0.184201i | \(-0.941030\pi\) |
0.650967 | + | 0.759106i | \(0.274364\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.66018 | + | 3.58202i | −0.351706 | + | 0.222576i | ||||
\(260\) | 5.52302i | 0.342523i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.87496 | − | 1.08251i | −0.115836 | − | 0.0668777i | ||||
\(263\) | 9.21740 | − | 5.32167i | 0.568369 | − | 0.328148i | −0.188128 | − | 0.982144i | \(-0.560242\pi\) |
0.756498 | + | 0.653996i | \(0.226909\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.46888 | + | 3.73481i | −0.397380 | + | 0.229428i | ||||
\(266\) | 1.71893 | − | 1.08781i | 0.105394 | − | 0.0666982i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.17328 | 0.377093 | ||||||||
\(269\) | −3.88366 | + | 6.72670i | −0.236791 | + | 0.410134i | −0.959792 | − | 0.280713i | \(-0.909429\pi\) |
0.723001 | + | 0.690847i | \(0.242762\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.45273 | + | 3.72548i | −0.391975 | + | 0.226307i | −0.683016 | − | 0.730404i | \(-0.739332\pi\) |
0.291040 | + | 0.956711i | \(0.405999\pi\) | |||||||
\(272\) | 14.2471 | − | 24.6768i | 0.863860 | − | 1.49625i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.290454 | − | 0.503081i | −0.0175469 | − | 0.0303922i | ||||
\(275\) | 2.53457 | + | 1.46334i | 0.152840 | + | 0.0882424i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.48617 | + | 14.6985i | 0.509884 | + | 0.883146i | 0.999934 | + | 0.0114513i | \(0.00364514\pi\) |
−0.490050 | + | 0.871694i | \(0.663022\pi\) | |||||||
\(278\) | 0.749617 | + | 1.29837i | 0.0449590 | + | 0.0778713i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.509726 | − | 0.972017i | 0.0304619 | − | 0.0580891i | ||||
\(281\) | −21.1443 | − | 12.2077i | −1.26136 | − | 0.728249i | −0.288026 | − | 0.957623i | \(-0.592999\pi\) |
−0.973338 | + | 0.229374i | \(0.926332\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 27.5665i | − | 1.63866i | −0.573323 | − | 0.819329i | \(-0.694346\pi\) | ||
0.573323 | − | 0.819329i | \(-0.305654\pi\) | |||||||
\(284\) | − | 11.1884i | − | 0.663907i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.731814 | + | 0.422513i | 0.0432731 | + | 0.0249837i | ||||
\(287\) | −16.7513 | + | 10.6010i | −0.988798 | + | 0.625756i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −17.7147 | − | 30.6828i | −1.04204 | − | 1.80487i | ||||
\(290\) | 0.110964 | + | 0.192195i | 0.00651602 | + | 0.0112861i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 22.6744 | + | 13.0911i | 1.32692 | + | 0.766096i | ||||
\(293\) | −9.60393 | − | 16.6345i | −0.561068 | − | 0.971798i | −0.997404 | − | 0.0720141i | \(-0.977057\pi\) |
0.436336 | − | 0.899784i | \(-0.356276\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.07132 | − | 7.05173i | 0.237041 | − | 0.410567i | ||||
\(296\) | 0.909560 | − | 0.525135i | 0.0528671 | − | 0.0305228i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0804743 | + | 0.139386i | −0.00466175 | + | 0.00807439i | ||||
\(299\) | −0.511253 | −0.0295665 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.04754 | − | 0.549332i | −0.0603794 | − | 0.0316630i | ||||
\(302\) | −1.37863 | + | 0.795951i | −0.0793311 | + | 0.0458018i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 25.1973 | − | 14.5477i | 1.44517 | − | 0.834367i | ||||
\(305\) | 10.9476 | + | 6.32062i | 0.626860 | + | 0.361918i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.5679i | 1.57339i | 0.617345 | + | 0.786693i | \(0.288208\pi\) | ||||
−0.617345 | + | 0.786693i | \(0.711792\pi\) | |||||||
\(308\) | 8.23674 | + | 13.0154i | 0.469332 | + | 0.741622i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.147325 | + | 0.255174i | −0.00836748 | + | 0.0144929i | ||||
\(311\) | −13.5987 | −0.771112 | −0.385556 | − | 0.922684i | \(-0.625990\pi\) | ||||
−0.385556 | + | 0.922684i | \(0.625990\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.2687i | 0.749993i | 0.927026 | + | 0.374997i | \(0.122356\pi\) | ||||
−0.927026 | + | 0.374997i | \(0.877644\pi\) | |||||||
\(314\) | 0.460206 | 0.0259709 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −18.1301 | −1.01990 | ||||||||
\(317\) | 25.2418i | 1.41772i | 0.705349 | + | 0.708861i | \(0.250790\pi\) | ||||
−0.705349 | + | 0.708861i | \(0.749210\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.24583 | −0.349699 | ||||||||
\(320\) | 3.87082 | − | 6.70445i | 0.216385 | − | 0.374790i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.0448667 | + | 0.0235281i | 0.00250032 | + | 0.00131117i | ||||
\(323\) | − | 53.5354i | − | 2.97879i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.40454 | + | 1.38826i | 0.133380 | + | 0.0770069i | ||||
\(326\) | 0.481868 | − | 0.278207i | 0.0266882 | − | 0.0154084i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.69184 | − | 1.55414i | 0.148632 | − | 0.0858129i | ||||
\(329\) | 0.0632679 | + | 1.55662i | 0.00348807 | + | 0.0858190i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.35946 | −0.459478 | −0.229739 | − | 0.973252i | \(-0.573787\pi\) | ||||
−0.229739 | + | 0.973252i | \(0.573787\pi\) | |||||||
\(332\) | 9.75376 | − | 16.8940i | 0.535307 | − | 0.927179i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.84841 | + | 1.06718i | −0.101140 | + | 0.0583934i | ||||
\(335\) | 1.55171 | − | 2.68764i | 0.0847790 | − | 0.146842i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.46876 | − | 11.2042i | −0.352376 | − | 0.610333i | 0.634289 | − | 0.773096i | \(-0.281293\pi\) |
−0.986665 | + | 0.162763i | \(0.947959\pi\) | |||||||
\(338\) | −0.476493 | − | 0.275103i | −0.0259178 | − | 0.0149637i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.20166 | − | 12.4736i | −0.390565 | − | 0.676478i | ||||
\(341\) | −4.14624 | − | 7.18150i | −0.224532 | − | 0.388900i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.25141 | + | 18.3829i | 0.121565 | + | 0.992583i | ||||
\(344\) | 0.160615 | + | 0.0927314i | 0.00865981 | + | 0.00499974i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.21683i | 0.119178i | ||||||||
\(347\) | − | 23.8842i | − | 1.28217i | −0.767469 | − | 0.641086i | \(-0.778484\pi\) | ||
0.767469 | − | 0.641086i | \(-0.221516\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.0470 | + | 10.9968i | 1.01956 | + | 0.588644i | 0.913977 | − | 0.405766i | \(-0.132995\pi\) |
0.105585 | + | 0.994410i | \(0.466329\pi\) | |||||||
\(350\) | −0.147130 | − | 0.232490i | −0.00786442 | − | 0.0124271i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.81293 | − | 3.14009i | −0.0966297 | − | 0.167368i | ||||
\(353\) | −4.39642 | − | 7.61483i | −0.233998 | − | 0.405296i | 0.724983 | − | 0.688767i | \(-0.241848\pi\) |
−0.958981 | + | 0.283470i | \(0.908514\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.87104 | − | 2.81230i | −0.258528 | − | 0.149261i | ||||
\(356\) | 15.8743 | + | 27.4951i | 0.841336 | + | 1.45724i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.122373 | + | 0.211956i | −0.00646760 | + | 0.0112022i | ||||
\(359\) | 0.261276 | − | 0.150848i | 0.0137896 | − | 0.00796143i | −0.493089 | − | 0.869979i | \(-0.664132\pi\) |
0.506879 | + | 0.862017i | \(0.330799\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.8324 | − | 30.8866i | 0.938547 | − | 1.62561i | ||||
\(362\) | 0.170883 | 0.00898143 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.81417 | + | 12.3477i | 0.409574 | + | 0.647194i | ||||
\(365\) | 11.3988 | − | 6.58111i | 0.596641 | − | 0.344471i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.8249 | − | 13.1780i | 1.19145 | − | 0.687884i | 0.232814 | − | 0.972521i | \(-0.425207\pi\) |
0.958635 | + | 0.284637i | \(0.0918732\pi\) | |||||||
\(368\) | 0.627532 | + | 0.362306i | 0.0327124 | + | 0.0188865i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 0.263279i | − | 0.0136872i | ||||||
\(371\) | −9.17817 | + | 17.5022i | −0.476507 | + | 0.908671i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.3837 | + | 31.8415i | −0.951872 | + | 1.64869i | −0.210501 | + | 0.977594i | \(0.567510\pi\) |
−0.741370 | + | 0.671096i | \(0.765824\pi\) | |||||||
\(374\) | −2.20372 | −0.113952 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 0.244270i | − | 0.0125973i | ||||||
\(377\) | −5.92540 | −0.305174 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 35.0467 | 1.80023 | 0.900114 | − | 0.435654i | \(-0.143483\pi\) | ||||
0.900114 | + | 0.435654i | \(0.143483\pi\) | |||||||
\(380\) | − | 14.7072i | − | 0.754462i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.40458 | −0.0718648 | ||||||||
\(383\) | −9.15609 | + | 15.8588i | −0.467855 | + | 0.810348i | −0.999325 | − | 0.0367289i | \(-0.988306\pi\) |
0.531471 | + | 0.847077i | \(0.321640\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.73686 | − | 0.314461i | 0.394307 | − | 0.0160264i | ||||
\(386\) | − | 1.63390i | − | 0.0831632i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.38016 | − | 1.95154i | −0.171602 | − | 0.0990744i | ||||
\(389\) | 20.6139 | − | 11.9014i | 1.04516 | − | 0.603426i | 0.123872 | − | 0.992298i | \(-0.460469\pi\) |
0.921292 | + | 0.388872i | \(0.127135\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.15466 | − | 0.666641i | 0.0583935 | − | 0.0337135i | ||||
\(392\) | −0.235663 | − | 2.89429i | −0.0119028 | − | 0.146184i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.56124 | −0.129033 | ||||||||
\(395\) | −4.55718 | + | 7.89326i | −0.229296 | + | 0.397153i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.81881 | − | 2.78214i | 0.241849 | − | 0.139632i | −0.374177 | − | 0.927357i | \(-0.622075\pi\) |
0.616026 | + | 0.787726i | \(0.288741\pi\) | |||||||
\(398\) | 0.868686 | − | 1.50461i | 0.0435433 | − | 0.0754192i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.96762 | − | 3.40801i | −0.0983808 | − | 0.170401i | ||||
\(401\) | 7.30769 | + | 4.21910i | 0.364929 | + | 0.210692i | 0.671241 | − | 0.741240i | \(-0.265762\pi\) |
−0.306312 | + | 0.951931i | \(0.599095\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.93353 | − | 6.81307i | −0.195943 | − | 0.339383i | ||||
\(404\) | 5.67459 | + | 9.82867i | 0.282321 | + | 0.488995i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.520003 | + | 0.272690i | 0.0258073 | + | 0.0135334i | ||||
\(407\) | 6.41691 | + | 3.70481i | 0.318075 | + | 0.183640i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 3.83286i | − | 0.189523i | −0.995500 | − | 0.0947614i | \(-0.969791\pi\) | ||
0.995500 | − | 0.0947614i | \(-0.0302088\pi\) | |||||||
\(410\) | − | 0.779175i | − | 0.0384807i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −20.7667 | − | 11.9896i | −1.02310 | − | 0.590687i | ||||
\(413\) | −0.874897 | − | 21.5256i | −0.0430509 | − | 1.05921i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.90339 | − | 8.49292i | −0.240698 | − | 0.416901i | ||||
\(416\) | −1.71992 | − | 2.97900i | −0.0843262 | − | 0.146057i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.94874 | − | 1.12510i | −0.0953158 | − | 0.0550306i | ||||
\(419\) | −8.65942 | − | 14.9985i | −0.423040 | − | 0.732727i | 0.573195 | − | 0.819419i | \(-0.305704\pi\) |
−0.996235 | + | 0.0866920i | \(0.972370\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.8236 | + | 18.7470i | −0.527510 | + | 0.913673i | 0.471976 | + | 0.881611i | \(0.343541\pi\) |
−0.999486 | + | 0.0320622i | \(0.989793\pi\) | |||||||
\(422\) | 0.672230 | − | 0.388112i | 0.0327236 | − | 0.0188930i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.54934 | − | 2.68354i | 0.0752428 | − | 0.130324i | ||||
\(425\) | −7.24081 | −0.351231 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 33.4180 | − | 1.35826i | 1.61721 | − | 0.0657307i | ||||
\(428\) | −4.12993 | + | 2.38442i | −0.199628 | + | 0.115255i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.0402627 | − | 0.0232457i | 0.00194164 | − | 0.00112101i | ||||
\(431\) | 26.5015 | + | 15.3007i | 1.27653 | + | 0.737008i | 0.976210 | − | 0.216829i | \(-0.0695715\pi\) |
0.300325 | + | 0.953837i | \(0.402905\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 33.9236i | − | 1.63027i | −0.579274 | − | 0.815133i | \(-0.696664\pi\) | ||
0.579274 | − | 0.815133i | \(-0.303336\pi\) | |||||||
\(434\) | 0.0316590 | + | 0.778926i | 0.00151968 | + | 0.0373896i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.2773 | + | 17.8009i | −0.492195 | + | 0.852507i | ||||
\(437\) | 1.36141 | 0.0651250 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 0.196382i | − | 0.00937278i | −0.999989 | − | 0.00468639i | \(-0.998508\pi\) | ||
0.999989 | − | 0.00468639i | \(-0.00149173\pi\) | |||||||
\(440\) | −1.21410 | −0.0578798 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −2.09066 | −0.0994426 | ||||||||
\(443\) | 6.82671i | 0.324347i | 0.986762 | + | 0.162173i | \(0.0518504\pi\) | ||||
−0.986762 | + | 0.162173i | \(0.948150\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 15.9606 | 0.756605 | ||||||||
\(446\) | 0.561499 | − | 0.972544i | 0.0265877 | − | 0.0460513i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.831811 | − | 20.4655i | −0.0392994 | − | 0.966905i | ||||
\(449\) | 1.56290i | 0.0737579i | 0.999320 | + | 0.0368789i | \(0.0117416\pi\) | ||||
−0.999320 | + | 0.0368789i | \(0.988258\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.9909 | + | 10.9644i | 0.894245 | + | 0.516292i | ||||
\(452\) | −14.5790 | + | 8.41718i | −0.685738 | + | 0.395911i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.08433 | − | 0.626039i | 0.0508902 | − | 0.0293815i | ||||
\(455\) | 7.33993 | − | 0.298328i | 0.344101 | − | 0.0139858i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.59317 | 0.261637 | 0.130819 | − | 0.991406i | \(-0.458239\pi\) | ||||
0.130819 | + | 0.991406i | \(0.458239\pi\) | |||||||
\(458\) | 0.625694 | − | 1.08373i | 0.0292368 | − | 0.0506396i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.317206 | − | 0.183139i | 0.0147898 | − | 0.00853889i | ||||
\(461\) | 3.97429 | − | 6.88368i | 0.185101 | − | 0.320605i | −0.758509 | − | 0.651662i | \(-0.774072\pi\) |
0.943611 | + | 0.331057i | \(0.107405\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.54581 | + | 9.60562i | 0.257735 | + | 0.446411i | 0.965635 | − | 0.259902i | \(-0.0836904\pi\) |
−0.707899 | + | 0.706313i | \(0.750357\pi\) | |||||||
\(464\) | 7.27306 | + | 4.19911i | 0.337644 | + | 0.194939i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.25594 | − | 2.17535i | −0.0581803 | − | 0.100771i | ||||
\(467\) | −6.26534 | − | 10.8519i | −0.289925 | − | 0.502165i | 0.683866 | − | 0.729607i | \(-0.260297\pi\) |
−0.973792 | + | 0.227442i | \(0.926964\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.333452 | − | 8.20411i | −0.0153974 | − | 0.378830i | ||||
\(470\) | −0.0530294 | − | 0.0306165i | −0.00244606 | − | 0.00141223i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.37788i | 0.155479i | ||||||||
\(473\) | 1.30843i | 0.0601618i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.40301 | − | 3.69678i | −0.293790 | − | 0.169620i | ||||
\(476\) | −33.7487 | − | 17.6978i | −1.54687 | − | 0.811179i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.824441 | + | 1.42797i | 0.0377090 | + | 0.0653140i | ||||
\(479\) | −9.12862 | − | 15.8112i | −0.417098 | − | 0.722434i | 0.578549 | − | 0.815648i | \(-0.303619\pi\) |
−0.995646 | + | 0.0932138i | \(0.970286\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.08771 | + | 3.51474i | 0.277575 | + | 0.160258i | ||||
\(482\) | 0.266470 | + | 0.461540i | 0.0121374 | + | 0.0210226i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.42143 | + | 4.19405i | −0.110065 | + | 0.190638i | ||||
\(485\) | −1.69927 | + | 0.981074i | −0.0771599 | + | 0.0445483i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.81372 | + | 15.2658i | −0.399388 | + | 0.691760i | −0.993650 | − | 0.112511i | \(-0.964111\pi\) |
0.594263 | + | 0.804271i | \(0.297444\pi\) | |||||||
\(488\) | −5.24407 | −0.237388 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.657869 | − | 0.311606i | −0.0297195 | − | 0.0140769i | ||||
\(491\) | 22.4180 | − | 12.9430i | 1.01171 | − | 0.584111i | 0.100018 | − | 0.994986i | \(-0.468110\pi\) |
0.911692 | + | 0.410875i | \(0.134777\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.3824 | − | 7.72634i | 0.602714 | − | 0.347977i | ||||
\(494\) | −1.84876 | − | 1.06738i | −0.0831796 | − | 0.0480238i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 11.1502i | 0.500657i | ||||||||
\(497\) | −14.8690 | + | 0.604343i | −0.666966 | + | 0.0271085i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8.01638 | + | 13.8848i | −0.358863 | + | 0.621568i | −0.987771 | − | 0.155911i | \(-0.950169\pi\) |
0.628908 | + | 0.777479i | \(0.283502\pi\) | |||||||
\(500\) | −1.98919 | −0.0889591 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.21928i | 0.0990512i | ||||||||
\(503\) | −4.02737 | −0.179572 | −0.0897858 | − | 0.995961i | \(-0.528618\pi\) | ||||
−0.0897858 | + | 0.995961i | \(0.528618\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.70544 | 0.253889 | ||||||||
\(506\) | − | 0.0560407i | − | 0.00249131i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.2460 | 0.543330 | ||||||||
\(509\) | 12.3484 | − | 21.3880i | 0.547331 | − | 0.948006i | −0.451125 | − | 0.892461i | \(-0.648977\pi\) |
0.998456 | − | 0.0555448i | \(-0.0176896\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.1729 | − | 30.8407i | 0.715445 | − | 1.36431i | ||||
\(512\) | 8.14035i | 0.359756i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.958424 | − | 0.553346i | −0.0422743 | − | 0.0244071i | ||||
\(515\) | −10.4398 | + | 6.02741i | −0.460032 | + | 0.265600i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.49244 | − | 0.861658i | 0.0656372 | − | 0.0378957i | ||||
\(518\) | −0.372497 | − | 0.588607i | −0.0163666 | − | 0.0258619i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.15181 | −0.0505102 | ||||||||
\(521\) | −12.5314 | + | 21.7049i | −0.549009 | + | 0.950911i | 0.449334 | + | 0.893364i | \(0.351661\pi\) |
−0.998343 | + | 0.0575471i | \(0.981672\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.9386 | − | 9.20215i | 0.696946 | − | 0.402382i | −0.109263 | − | 0.994013i | \(-0.534849\pi\) |
0.806209 | + | 0.591631i | \(0.201516\pi\) | |||||||
\(524\) | −20.7068 | + | 35.8652i | −0.904580 | + | 1.56678i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.553405 | + | 0.958525i | 0.0241296 | + | 0.0417937i | ||||
\(527\) | 17.7676 | + | 10.2581i | 0.773969 | + | 0.446851i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.4830 | − | 19.8892i | −0.499263 | − | 0.864749i | ||||
\(530\) | −0.388386 | − | 0.672704i | −0.0168704 | − | 0.0292204i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −20.8082 | − | 32.8804i | −0.902151 | − | 1.42555i | ||||
\(533\) | 18.0166 | + | 10.4019i | 0.780384 | + | 0.450555i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.39738i | 0.103648i | ||||||||
\(536\) | 1.28742i | 0.0556080i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.699514 | − | 0.403865i | −0.0301582 | − | 0.0174118i | ||||
\(539\) | 16.8522 | − | 11.6494i | 0.725875 | − | 0.501776i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.3146 | − | 28.2578i | −0.701420 | − | 1.21490i | −0.967968 | − | 0.251074i | \(-0.919216\pi\) |
0.266548 | − | 0.963822i | \(-0.414117\pi\) | |||||||
\(542\) | −0.387416 | − | 0.671024i | −0.0166409 | − | 0.0288230i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.76884 | + | 4.48534i | 0.333086 | + | 0.192307i | ||||
\(545\) | 5.16660 | + | 8.94882i | 0.221313 | + | 0.383325i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.87713 | − | 11.9115i | 0.294045 | − | 0.509300i | −0.680718 | − | 0.732546i | \(-0.738332\pi\) |
0.974762 | + | 0.223246i | \(0.0716652\pi\) | |||||||
\(548\) | −9.62317 | + | 5.55594i | −0.411081 | + | 0.237338i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.152173 | + | 0.263572i | −0.00648870 | + | 0.0112388i | ||||
\(551\) | 15.7787 | 0.672194 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.979305 | + | 24.0944i | 0.0416443 | + | 1.02460i | ||||
\(554\) | −1.52851 | + | 0.882483i | −0.0649400 | + | 0.0374931i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.8359 | − | 14.3390i | 1.05328 | − | 0.608110i | ||||
\(557\) | −18.3957 | − | 10.6208i | −0.779451 | − | 0.450016i | 0.0567848 | − | 0.998386i | \(-0.481915\pi\) |
−0.836236 | + | 0.548370i | \(0.815248\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.24131i | 0.0525017i | ||||||||
\(560\) | −9.22073 | − | 4.83535i | −0.389647 | − | 0.204331i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.26949 | − | 2.19881i | 0.0535500 | − | 0.0927514i | ||||
\(563\) | −7.48251 | −0.315350 | −0.157675 | − | 0.987491i | \(-0.550400\pi\) | ||||
−0.157675 | + | 0.987491i | \(0.550400\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.46294i | 0.356039i | ||||||||
\(566\) | 2.86666 | 0.120495 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 2.33330 | 0.0979030 | ||||||||
\(569\) | − | 9.27735i | − | 0.388927i | −0.980910 | − | 0.194463i | \(-0.937703\pi\) | ||
0.980910 | − | 0.194463i | \(-0.0622966\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.874760 | 0.0366076 | 0.0183038 | − | 0.999832i | \(-0.494173\pi\) | ||||
0.0183038 | + | 0.999832i | \(0.494173\pi\) | |||||||
\(572\) | 8.08203 | − | 13.9985i | 0.337927 | − | 0.585306i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.10240 | − | 1.74198i | −0.0460135 | − | 0.0727089i | ||||
\(575\) | − | 0.184134i | − | 0.00767893i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.3961 | − | 6.57956i | −0.474427 | − | 0.273911i | 0.243664 | − | 0.969860i | \(-0.421651\pi\) |
−0.718091 | + | 0.695949i | \(0.754984\pi\) | |||||||
\(578\) | 3.19072 | − | 1.84216i | 0.132717 | − | 0.0766240i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.67640 | − | 2.12257i | 0.152654 | − | 0.0881349i | ||||
\(581\) | −22.9785 | − | 12.0499i | −0.953308 | − | 0.499915i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 21.8611 | 0.905395 | ||||||||
\(584\) | −2.73010 | + | 4.72867i | −0.112972 | + | 0.195674i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.72983 | − | 0.998721i | 0.0714588 | − | 0.0412568i | ||||
\(587\) | 9.18223 | − | 15.9041i | 0.378991 | − | 0.656432i | −0.611925 | − | 0.790916i | \(-0.709604\pi\) |
0.990916 | + | 0.134484i | \(0.0429378\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.4745 | + | 18.1424i | 0.431595 | + | 0.747545i | ||||
\(590\) | 0.733315 | + | 0.423379i | 0.0301901 | + | 0.0174303i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.98152 | − | 8.62825i | −0.204739 | − | 0.354619i | ||||
\(593\) | 14.5682 | + | 25.2329i | 0.598245 | + | 1.03619i | 0.993080 | + | 0.117438i | \(0.0374682\pi\) |
−0.394836 | + | 0.918752i | \(0.629198\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −16.1881 | + | 10.2446i | −0.663647 | + | 0.419986i | ||||
\(596\) | 2.66624 | + | 1.53935i | 0.109213 | + | 0.0630543i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 0.0531656i | − | 0.00217410i | ||||||
\(599\) | 9.77430i | 0.399367i | 0.979860 | + | 0.199683i | \(0.0639914\pi\) | ||||
−0.979860 | + | 0.199683i | \(0.936009\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.0062 | − | 6.93177i | −0.489742 | − | 0.282753i | 0.234725 | − | 0.972062i | \(-0.424581\pi\) |
−0.724467 | + | 0.689309i | \(0.757914\pi\) | |||||||
\(602\) | 0.0571255 | − | 0.108935i | 0.00232826 | − | 0.00443986i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.2253 | + | 26.3711i | 0.619510 | + | 1.07302i | ||||
\(605\) | 1.21730 | + | 2.10842i | 0.0494902 | + | 0.0857196i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.88964 | + | 2.24568i | 0.157876 | + | 0.0911495i | 0.576856 | − | 0.816846i | \(-0.304279\pi\) |
−0.418981 | + | 0.907995i | \(0.637613\pi\) | |||||||
\(608\) | 4.57996 | + | 7.93273i | 0.185742 | + | 0.321714i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.657286 | + | 1.13845i | −0.0266127 | + | 0.0460946i | ||||
\(611\) | 1.41587 | − | 0.817452i | 0.0572799 | − | 0.0330706i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.2897 | + | 17.8222i | −0.415596 | + | 0.719834i | −0.995491 | − | 0.0948577i | \(-0.969760\pi\) |
0.579895 | + | 0.814692i | \(0.303094\pi\) | |||||||
\(614\) | −2.86681 | −0.115695 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.71432 | + | 1.71775i | −0.109363 | + | 0.0692100i | ||||
\(617\) | −8.84986 | + | 5.10947i | −0.356282 | + | 0.205700i | −0.667449 | − | 0.744656i | \(-0.732614\pi\) |
0.311167 | + | 0.950355i | \(0.399280\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −12.3888 | + | 7.15270i | −0.497949 | + | 0.287491i | −0.727866 | − | 0.685719i | \(-0.759488\pi\) |
0.229917 | + | 0.973210i | \(0.426155\pi\) | |||||||
\(620\) | 4.88109 | + | 2.81810i | 0.196029 | + | 0.113178i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 1.41414i | − | 0.0567019i | ||||||
\(623\) | 35.6827 | − | 22.5816i | 1.42960 | − | 0.904714i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −1.37983 | −0.0551490 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 8.80304i | − | 0.351280i | ||||||
\(629\) | −18.3320 | −0.730943 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.77064 | 0.0704882 | 0.0352441 | − | 0.999379i | \(-0.488779\pi\) | ||||
0.0352441 | + | 0.999379i | \(0.488779\pi\) | |||||||
\(632\) | − | 3.78098i | − | 0.150399i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.62492 | −0.104249 | ||||||||
\(635\) | 3.07816 | − | 5.33152i | 0.122153 | − | 0.211575i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.9876 | − | 11.0518i | 0.633452 | − | 0.437887i | ||||
\(638\) | − | 0.649509i | − | 0.0257143i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.84305 | + | 1.64143i | 0.112381 | + | 0.0648834i | ||||
\(641\) | 29.2397 | − | 16.8815i | 1.15490 | − | 0.666781i | 0.204822 | − | 0.978799i | \(-0.434338\pi\) |
0.950076 | + | 0.312018i | \(0.101005\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.3941 | − | 11.1972i | 0.764827 | − | 0.441573i | −0.0661992 | − | 0.997806i | \(-0.521087\pi\) |
0.831026 | + | 0.556233i | \(0.187754\pi\) | |||||||
\(644\) | 0.450057 | − | 0.858232i | 0.0177347 | − | 0.0338191i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.56719 | 0.219038 | ||||||||
\(647\) | 24.0354 | − | 41.6305i | 0.944928 | − | 1.63666i | 0.189032 | − | 0.981971i | \(-0.439465\pi\) |
0.755896 | − | 0.654692i | \(-0.227202\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −20.6381 | + | 11.9154i | −0.810116 | + | 0.467720i | ||||
\(650\) | −0.144366 | + | 0.250050i | −0.00566252 | + | 0.00980777i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.32167 | − | 9.21740i | −0.208413 | − | 0.360981i | ||||
\(653\) | 11.7614 | + | 6.79044i | 0.460259 | + | 0.265731i | 0.712153 | − | 0.702024i | \(-0.247720\pi\) |
−0.251894 | + | 0.967755i | \(0.581053\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.4097 | + | 18.0301i | 0.406740 | + | 0.704494i | ||||
\(656\) | −14.7428 | − | 25.5353i | −0.575610 | − | 0.996986i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.161874 | + | 0.00657928i | −0.00631050 | + | 0.000256487i | ||||
\(659\) | −31.8718 | − | 18.4012i | −1.24155 | − | 0.716810i | −0.272141 | − | 0.962257i | \(-0.587732\pi\) |
−0.969410 | + | 0.245448i | \(0.921065\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 39.8075i | 1.54833i | 0.632984 | + | 0.774165i | \(0.281830\pi\) | ||||
−0.632984 | + | 0.774165i | \(0.718170\pi\) | |||||||
\(662\) | − | 0.869307i | − | 0.0337866i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.52319 | + | 2.03412i | 0.136726 | + | 0.0789390i | ||||
\(665\) | −19.5454 | + | 0.794412i | −0.757938 | + | 0.0308060i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.196481 | + | 0.340316i | 0.00760779 | + | 0.0131771i | ||||
\(668\) | 20.4135 | + | 35.3572i | 0.789822 | + | 1.36801i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.279490 | + | 0.161364i | 0.0107976 | + | 0.00623402i | ||||
\(671\) | −18.4984 | − | 32.0401i | −0.714122 | − | 1.23690i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.9975 | + | 25.9765i | −0.578112 | + | 1.00132i | 0.417584 | + | 0.908638i | \(0.362877\pi\) |
−0.995696 | + | 0.0926811i | \(0.970456\pi\) | |||||||
\(674\) | 1.16514 | − | 0.672691i | 0.0448793 | − | 0.0259111i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.26231 | + | 9.11459i | −0.202397 | + | 0.350561i | ||||
\(677\) | 10.5107 | 0.403958 | 0.201979 | − | 0.979390i | \(-0.435263\pi\) | ||||
0.201979 | + | 0.979390i | \(0.435263\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.41096 | + | 4.59755i | −0.0925240 | + | 0.176438i | ||||
\(680\) | 2.60134 | − | 1.50188i | 0.0997568 | − | 0.0575946i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.746810 | − | 0.431171i | 0.0285968 | − | 0.0165104i | ||||
\(683\) | −13.9019 | − | 8.02627i | −0.531942 | − | 0.307117i | 0.209865 | − | 0.977730i | \(-0.432698\pi\) |
−0.741807 | + | 0.670614i | \(0.766031\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.58614i | 0.213436i | ||||||||
\(686\) | −1.91165 | + | 0.234126i | −0.0729872 | + | 0.00893899i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.879667 | − | 1.52363i | 0.0335370 | − | 0.0580877i | ||||
\(689\) | 20.7396 | 0.790115 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 12.2307i | − | 0.465278i | −0.972563 | − | 0.232639i | \(-0.925264\pi\) | ||
0.972563 | − | 0.232639i | \(-0.0747361\pi\) | |||||||
\(692\) | 42.4046 | 1.61198 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.48374 | 0.0942814 | ||||||||
\(695\) | − | 14.4170i | − | 0.546867i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −54.2535 | −2.05500 | ||||||||
\(698\) | −1.14356 | + | 1.98071i | −0.0432845 | + | 0.0749710i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.44717 | + | 2.81437i | −0.168087 | + | 0.106373i | ||||
\(701\) | − | 43.2427i | − | 1.63325i | −0.577166 | − | 0.816627i | \(-0.695842\pi\) | ||
0.577166 | − | 0.816627i | \(-0.304158\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −16.2109 | − | 9.35935i | −0.611404 | − | 0.352994i | ||||
\(704\) | −19.6217 | + | 11.3286i | −0.739521 | + | 0.426963i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.791872 | − | 0.457187i | 0.0298025 | − | 0.0172065i | ||||
\(707\) | 12.7555 | − | 8.07226i | 0.479720 | − | 0.303588i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 5.70294 | 0.214178 | 0.107089 | − | 0.994249i | \(-0.465847\pi\) | ||||
0.107089 | + | 0.994249i | \(0.465847\pi\) | |||||||
\(710\) | 0.292453 | − | 0.506543i | 0.0109756 | − | 0.0190102i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.73402 | + | 3.31054i | −0.214891 | + | 0.124068i | ||||
\(713\) | −0.260865 | + | 0.451831i | −0.00976946 | + | 0.0169212i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.06298 | − | 7.03730i | −0.151947 | − | 0.263180i | ||||
\(716\) | 4.05439 | + | 2.34080i | 0.151520 | + | 0.0874800i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.0156868 | + | 0.0271703i | 0.000585425 | + | 0.00101398i | ||||
\(719\) | 24.4397 | + | 42.3309i | 0.911448 | + | 1.57867i | 0.812020 | + | 0.583630i | \(0.198368\pi\) |
0.0994282 | + | 0.995045i | \(0.468299\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.8122 | + | 28.2459i | −0.551634 | + | 1.05193i | ||||
\(722\) | 3.21192 | + | 1.85440i | 0.119535 | + | 0.0690138i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 3.26874i | − | 0.121482i | ||||||
\(725\) | − | 2.13411i | − | 0.0792588i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.9887 | − | 6.34435i | −0.407550 | − | 0.235299i | 0.282187 | − | 0.959360i | \(-0.408940\pi\) |
−0.689736 | + | 0.724060i | \(0.742274\pi\) | |||||||
\(728\) | −2.57507 | + | 1.62962i | −0.0954384 | + | 0.0603977i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.684375 | + | 1.18537i | 0.0253298 | + | 0.0438726i | ||||
\(731\) | −1.61858 | − | 2.80347i | −0.0598655 | − | 0.103690i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.0914 | + | 17.3733i | 1.11145 | + | 0.641698i | 0.939205 | − | 0.343356i | \(-0.111564\pi\) |
0.172248 | + | 0.985054i | \(0.444897\pi\) | |||||||
\(734\) | 1.37039 | + | 2.37358i | 0.0505819 | + | 0.0876104i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.114062 | + | 0.197562i | −0.00420440 | + | 0.00728223i | ||||
\(737\) | −7.86584 | + | 4.54135i | −0.289742 | + | 0.167283i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.28839 | − | 10.8918i | 0.231322 | − | 0.400662i | −0.726875 | − | 0.686770i | \(-0.759028\pi\) |
0.958197 | + | 0.286108i | \(0.0923615\pi\) | |||||||
\(740\) | −5.03613 | −0.185132 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.82007 | − | 0.954445i | −0.0668169 | − | 0.0350388i | ||||
\(743\) | −29.1685 | + | 16.8405i | −1.07009 | + | 0.617817i | −0.928206 | − | 0.372067i | \(-0.878649\pi\) |
−0.141884 | + | 0.989883i | \(0.545316\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.34036 | − | 0.773860i | 0.0491072 | − | 0.0283520i | ||||
\(746\) | −3.31122 | − | 1.91173i | −0.121232 | − | 0.0699936i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 42.1538i | 1.54130i | ||||||||
\(749\) | 3.39190 | + | 5.35976i | 0.123937 | + | 0.195841i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.8558 | − | 46.5156i | 0.979981 | − | 1.69738i | 0.317572 | − | 0.948234i | \(-0.397132\pi\) |
0.662409 | − | 0.749143i | \(-0.269534\pi\) | |||||||
\(752\) | −2.31719 | −0.0844992 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 0.616187i | − | 0.0224402i | ||||||
\(755\) | 15.3081 | 0.557119 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.9208 | 0.614998 | 0.307499 | − | 0.951548i | \(-0.400508\pi\) | ||||
0.307499 | + | 0.951548i | \(0.400508\pi\) | |||||||
\(758\) | 3.64453i | 0.132375i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.06713 | 0.111257 | ||||||||
\(761\) | 8.16387 | − | 14.1402i | 0.295940 | − | 0.512583i | −0.679263 | − | 0.733895i | \(-0.737700\pi\) |
0.975203 | + | 0.221312i | \(0.0710338\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 24.2119 | + | 12.6967i | 0.876531 | + | 0.459653i | ||||
\(764\) | 26.8676i | 0.972034i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.64917 | − | 0.952149i | −0.0595870 | − | 0.0344026i | ||||
\(767\) | −19.5793 | + | 11.3041i | −0.706967 | + | 0.408168i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.6374 | − | 22.3073i | 1.39330 | − | 0.804423i | 0.399623 | − | 0.916680i | \(-0.369141\pi\) |
0.993679 | + | 0.112256i | \(0.0358078\pi\) | |||||||
\(770\) | 0.0327010 | + | 0.804562i | 0.00117846 | + | 0.0289944i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −31.2540 | −1.12485 | ||||||||
\(773\) | −6.98070 | + | 12.0909i | −0.251078 | + | 0.434881i | −0.963823 | − | 0.266543i | \(-0.914119\pi\) |
0.712745 | + | 0.701424i | \(0.247452\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.45381 | − | 1.41671i | 0.0881435 | − | 0.0508897i | ||||
\(776\) | 0.406987 | − | 0.704923i | 0.0146100 | − | 0.0253053i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.23764 | + | 2.14365i | 0.0443715 | + | 0.0768536i | ||||
\(779\) | −47.9761 | − | 27.6990i | −1.71892 | − | 0.992419i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.23067 | + | 14.2559i | 0.294516 | + | 0.510117i | ||||
\(782\) | 0.0693245 | + | 0.120074i | 0.00247904 | + | 0.00429382i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −27.4558 | + | 2.23554i | −0.980563 | + | 0.0798409i | ||||
\(785\) | −3.83255 | − | 2.21273i | −0.136790 | − | 0.0789755i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 13.1825i | − | 0.469906i | −0.972007 | − | 0.234953i | \(-0.924506\pi\) | ||
0.972007 | − | 0.234953i | \(-0.0754935\pi\) | |||||||
\(788\) | 48.9926i | 1.74529i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.820826 | − | 0.473904i | −0.0292037 | − | 0.0168608i | ||||
\(791\) | 11.9737 | + | 18.9204i | 0.425735 | + | 0.672731i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −17.5493 | − | 30.3964i | −0.623196 | − | 1.07941i | ||||
\(794\) | 0.289317 | + | 0.501112i | 0.0102675 | + | 0.0177838i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −28.7809 | − | 16.6166i | −1.02011 | − | 0.588961i | ||||
\(797\) | −14.1612 | − | 24.5280i | −0.501617 | − | 0.868825i | −0.999998 | − | 0.00186773i | \(-0.999405\pi\) |
0.498382 | − | 0.866958i | \(-0.333928\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.13181 | + | 3.69240i | −0.0754180 | + | 0.130628i | ||||
\(800\) | 1.07292 | − | 0.619453i | 0.0379336 | − | 0.0219010i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.438747 | + | 0.759932i | −0.0154927 | + | 0.0268341i | ||||
\(803\) | −38.5215 | −1.35939 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.260520 | − | 0.411664i | −0.00918212 | − | 0.0145093i | ||||
\(806\) | 0.708496 | − | 0.409050i | 0.0249557 | − | 0.0144082i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.04974 | + | 1.18342i | −0.0721096 | + | 0.0416325i | ||||
\(809\) | 16.5879 | + | 9.57704i | 0.583200 | + | 0.336711i | 0.762404 | − | 0.647101i | \(-0.224019\pi\) |
−0.179204 | + | 0.983812i | \(0.557352\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.6454i | 0.514269i | 0.966376 | + | 0.257134i | \(0.0827783\pi\) | ||||
−0.966376 | + | 0.257134i | \(0.917222\pi\) | |||||||
\(812\) | 5.21614 | − | 9.94687i | 0.183051 | − | 0.349067i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.385266 | + | 0.667300i | −0.0135036 | + | 0.0233889i | ||||
\(815\) | −5.35060 | −0.187423 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 3.30546i | − | 0.115643i | ||||||
\(818\) | 0.398582 | 0.0139361 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.9044 | −0.520485 | ||||||||
\(821\) | − | 4.73593i | − | 0.165285i | −0.996579 | − | 0.0826426i | \(-0.973664\pi\) | ||
0.996579 | − | 0.0826426i | \(-0.0263360\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.76948 | −0.0965379 | −0.0482690 | − | 0.998834i | \(-0.515370\pi\) | ||||
−0.0482690 | + | 0.998834i | \(0.515370\pi\) | |||||||
\(824\) | 2.50040 | − | 4.33083i | 0.0871057 | − | 0.150871i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.23846 | − | 0.0909813i | 0.0778862 | − | 0.00316564i | ||||
\(827\) | 5.25434i | 0.182711i | 0.995818 | + | 0.0913556i | \(0.0291200\pi\) | ||||
−0.995818 | + | 0.0913556i | \(0.970880\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.3816 | − | 8.88058i | −0.534226 | − | 0.308435i | 0.208510 | − | 0.978020i | \(-0.433139\pi\) |
−0.742736 | + | 0.669585i | \(0.766472\pi\) | |||||||
\(830\) | 0.883186 | − | 0.509907i | 0.0306558 | − | 0.0176991i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.6151 | + | 10.7474i | −0.645361 | + | 0.372599i | ||||
\(833\) | −21.6970 | + | 45.8070i | −0.751755 | + | 1.58712i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 20.5245 | 0.710279 | ||||||||
\(836\) | −21.5215 | + | 37.2764i | −0.744338 | + | 1.28923i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.55971 | − | 0.900499i | 0.0538793 | − | 0.0311072i | ||||
\(839\) | 8.51777 | − | 14.7532i | 0.294066 | − | 0.509338i | −0.680701 | − | 0.732561i | \(-0.738325\pi\) |
0.974767 | + | 0.223224i | \(0.0716581\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −12.2228 | − | 21.1705i | −0.421476 | − | 0.730017i | ||||
\(842\) | −1.94952 | − | 1.12555i | −0.0671848 | − | 0.0387891i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.42399 | − | 12.8587i | −0.255544 | − | 0.442616i | ||||
\(845\) | 2.64546 | + | 4.58207i | 0.0910066 | + | 0.157628i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.70456 | + | 2.99147i | 0.196011 | + | 0.102788i | ||||
\(848\) | −25.4566 | − | 14.6974i | −0.874182 | − | 0.504709i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 0.752978i | − | 0.0258269i | ||||||
\(851\) | − | 0.466183i | − | 0.0159806i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.55801 | − | 1.47687i | −0.0875847 | − | 0.0505670i | 0.455568 | − | 0.890201i | \(-0.349436\pi\) |
−0.543153 | + | 0.839634i | \(0.682770\pi\) | |||||||
\(854\) | 0.141246 | + | 3.47516i | 0.00483335 | + | 0.118918i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.497263 | − | 0.861285i | −0.0169961 | − | 0.0294381i | ||||
\(857\) | 19.1804 | + | 33.2214i | 0.655190 | + | 1.13482i | 0.981846 | + | 0.189680i | \(0.0607449\pi\) |
−0.326656 | + | 0.945143i | \(0.605922\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.09692 | − | 5.25211i | −0.310383 | − | 0.179200i | 0.336715 | − | 0.941607i | \(-0.390684\pi\) |
−0.647098 | + | 0.762407i | \(0.724017\pi\) | |||||||
\(860\) | −0.444655 | − | 0.770165i | −0.0151626 | − | 0.0262624i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.59113 | + | 2.75592i | −0.0541941 | + | 0.0938669i | ||||
\(863\) | 39.3048 | − | 22.6927i | 1.33795 | − | 0.772467i | 0.351449 | − | 0.936207i | \(-0.385689\pi\) |
0.986504 | + | 0.163740i | \(0.0523558\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.6588 | − | 18.4616i | 0.362410 | − | 0.627712i | ||||
\(866\) | 3.52775 | 0.119878 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.8997 | − | 0.605590i | 0.505728 | − | 0.0205550i | ||||
\(869\) | 23.1010 | − | 13.3374i | 0.783647 | − | 0.452439i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.46230 | + | 4.30836i | −0.252850 | + | 0.145983i | ||||
\(872\) | −3.71231 | − | 2.14331i | −0.125715 | − | 0.0725815i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.141574i | 0.00478881i | ||||||||
\(875\) | 0.107447 | + | 2.64357i | 0.00363235 | + | 0.0893689i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.7656 | + | 29.0388i | −0.566134 | + | 0.980572i | 0.430810 | + | 0.902443i | \(0.358228\pi\) |
−0.996943 | + | 0.0781294i | \(0.975105\pi\) | |||||||
\(878\) | 0.0204219 | 0.000689205 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 11.5171i | 0.388242i | ||||||||
\(881\) | −55.1097 | −1.85669 | −0.928347 | − | 0.371714i | \(-0.878770\pi\) | ||||
−0.928347 | + | 0.371714i | \(0.878770\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.42725 | 0.115336 | 0.0576680 | − | 0.998336i | \(-0.481634\pi\) | ||||
0.0576680 | + | 0.998336i | \(0.481634\pi\) | |||||||
\(884\) | 39.9912i | 1.34505i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.709915 | −0.0238501 | ||||||||
\(887\) | −19.6195 | + | 33.9819i | −0.658757 | + | 1.14100i | 0.322181 | + | 0.946678i | \(0.395584\pi\) |
−0.980938 | + | 0.194322i | \(0.937749\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.661474 | − | 16.2746i | −0.0221851 | − | 0.545834i | ||||
\(890\) | 1.65976i | 0.0556351i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −18.6033 | − | 10.7406i | −0.622885 | − | 0.359623i | ||||
\(893\) | −3.77030 | + | 2.17678i | −0.126168 | + | 0.0728432i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.03822 | − | 1.17677i | 0.0681301 | − | 0.0393349i | ||||
\(896\) | 8.67849 | − | 0.352733i | 0.289928 | − | 0.0117840i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.162527 | −0.00542361 | ||||||||
\(899\) | −3.02341 | + | 5.23670i | −0.100836 | + | 0.174654i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −46.8400 | + | 27.0431i | −1.56047 | + | 0.900936i | ||||
\(902\) | −1.14019 | + | 1.97487i | −0.0379643 | + | 0.0657561i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.75538 | − | 3.04040i | −0.0583830 | − | 0.101122i | ||||
\(905\) | −1.42310 | − | 0.821627i | −0.0473054 | − | 0.0273118i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.59186 | + | 9.68539i | 0.185675 | + | 0.321598i | 0.943804 | − | 0.330507i | \(-0.107220\pi\) |
−0.758129 | + | 0.652105i | \(0.773886\pi\) | |||||||
\(908\) | −11.9752 | − | 20.7416i | −0.397410 | − | 0.688335i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0310233 | + | 0.763285i | 0.00102841 | + | 0.0253027i | ||||
\(911\) | 4.71312 | + | 2.72112i | 0.156153 | + | 0.0901548i | 0.576040 | − | 0.817421i | \(-0.304597\pi\) |
−0.419888 | + | 0.907576i | \(0.637930\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28.7012i | 0.949872i | ||||||||
\(914\) | 0.581638i | 0.0192389i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −20.7302 | − | 11.9686i | −0.684945 | − | 0.395453i | ||||
\(917\) | 48.7823 | + | 25.5814i | 1.61093 | + | 0.844773i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.39443 | − | 2.41523i | −0.0459981 | − | 0.0796710i | 0.842110 | − | 0.539306i | \(-0.181313\pi\) |
−0.888108 | + | 0.459635i | \(0.847980\pi\) | |||||||
\(920\) | 0.0381930 | + | 0.0661522i | 0.00125919 | + | 0.00218097i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.715839 | + | 0.413290i | 0.0235749 | + | 0.0136110i | ||||
\(923\) | 7.80841 | + | 13.5246i | 0.257017 | + | 0.445166i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.26588 | + | 2.19256i | −0.0416218 | + | 0.0720911i | ||||
\(926\) | −0.998896 | + | 0.576713i | −0.0328257 | + | 0.0189520i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.32198 | + | 2.28973i | −0.0433961 | + | 0.0751642i | ||||
\(929\) | 12.3464 | 0.405073 | 0.202536 | − | 0.979275i | \(-0.435082\pi\) | ||||
0.202536 | + | 0.979275i | \(0.435082\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −42.5732 | + | 29.4296i | −1.39528 | + | 0.964515i | ||||
\(932\) | −41.6112 | + | 24.0242i | −1.36302 | + | 0.786940i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.12850 | − | 0.651537i | 0.0369255 | − | 0.0213189i | ||||
\(935\) | 18.3524 | + | 10.5957i | 0.600186 | + | 0.346518i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 12.0267i | − | 0.392894i | −0.980514 | − | 0.196447i | \(-0.937060\pi\) | ||
0.980514 | − | 0.196447i | \(-0.0629403\pi\) | |||||||
\(938\) | 0.853152 | − | 0.0346759i | 0.0278564 | − | 0.00113221i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.585648 | + | 1.01437i | −0.0191017 | + | 0.0330851i | ||||
\(941\) | 13.6425 | 0.444734 | 0.222367 | − | 0.974963i | \(-0.428622\pi\) | ||||
0.222367 | + | 0.974963i | \(0.428622\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 1.37967i | − | 0.0449282i | ||||||
\(944\) | 32.0432 | 1.04292 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.136065 | −0.00442385 | ||||||||
\(947\) | − | 6.31702i | − | 0.205276i | −0.994719 | − | 0.102638i | \(-0.967272\pi\) | ||
0.994719 | − | 0.102638i | \(-0.0327282\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −36.5452 | −1.18631 | ||||||||
\(950\) | 0.384431 | − | 0.665854i | 0.0124726 | − | 0.0216032i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.69083 | − | 7.03819i | 0.119620 | − | 0.228109i | ||||
\(953\) | 41.8480i | 1.35559i | 0.735251 | + | 0.677795i | \(0.237064\pi\) | ||||
−0.735251 | + | 0.677795i | \(0.762936\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 11.6972 | + | 6.75341i | 0.378514 | + | 0.218535i | ||||
\(956\) | 27.3150 | − | 15.7703i | 0.883429 | − | 0.510048i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.64422 | − | 0.949293i | 0.0531224 | − | 0.0306703i | ||||
\(959\) | 7.90347 | + | 12.4888i | 0.255217 | + | 0.403284i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.9717 | 0.741024 | ||||||||
\(962\) | −0.365500 | + | 0.633065i | −0.0117842 | + | 0.0204108i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 8.82855 | − | 5.09717i | 0.284349 | − | 0.164169i | ||||
\(965\) | −7.85597 | + | 13.6069i | −0.252893 | + | 0.438023i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.58321 | + | 9.67040i | 0.179544 | + | 0.310979i | 0.941724 | − | 0.336385i | \(-0.109204\pi\) |
−0.762180 | + | 0.647365i | \(0.775871\pi\) | |||||||
\(968\) | −0.874655 | − | 0.504982i | −0.0281125 | − | 0.0162307i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.102023 | − | 0.176708i | −0.00327575 | − | 0.00567377i | ||||
\(971\) | −2.71987 | − | 4.71095i | −0.0872847 | − | 0.151182i | 0.819078 | − | 0.573682i | \(-0.194486\pi\) |
−0.906362 | + | 0.422501i | \(0.861152\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.3977 | − | 32.2317i | −0.653919 | − | 1.03330i | ||||
\(974\) | −1.58750 | − | 0.916545i | −0.0508669 | − | 0.0293680i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 49.7462i | 1.59234i | ||||||||
\(977\) | 24.4137i | 0.781064i | 0.920589 | + | 0.390532i | \(0.127709\pi\) | ||||
−0.920589 | + | 0.390532i | \(0.872291\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −40.4533 | − | 23.3557i | −1.29289 | − | 0.746452i | ||||
\(980\) | −5.96056 | + | 12.5840i | −0.190403 | + | 0.401982i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.34596 | + | 2.33126i | 0.0429512 | + | 0.0743936i | ||||
\(983\) | −2.29228 | − | 3.97034i | −0.0731124 | − | 0.126634i | 0.827151 | − | 0.561979i | \(-0.189960\pi\) |
−0.900264 | + | 0.435345i | \(0.856627\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 21.3297 | + | 12.3147i | 0.679622 | + | 0.392380i | ||||
\(986\) | 0.803468 | + | 1.39165i | 0.0255876 | + | 0.0443191i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −20.4174 | + | 35.3640i | −0.649564 | + | 1.12508i | ||||
\(989\) | 0.0712924 | − | 0.0411607i | 0.00226697 | − | 0.00130883i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.9244 | − | 41.4382i | 0.759983 | − | 1.31633i | −0.182876 | − | 0.983136i | \(-0.558541\pi\) |
0.942859 | − | 0.333193i | \(-0.108126\pi\) | |||||||
\(992\) | −3.51034 | −0.111453 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.0628461 | − | 1.54624i | −0.00199336 | − | 0.0490437i | ||||
\(995\) | −14.4687 | + | 8.35349i | −0.458687 | + | 0.264823i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −41.1381 | + | 23.7511i | −1.30286 | + | 0.752204i | −0.980893 | − | 0.194548i | \(-0.937676\pi\) |
−0.321963 | + | 0.946752i | \(0.604343\pi\) | |||||||
\(998\) | −1.44389 | − | 0.833630i | −0.0457055 | − | 0.0263881i | ||||
\(999\) | 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 | 945.2.t.c.521.9 | 32 | ||
3.2 | odd | 2 | 315.2.t.c.101.8 | ✓ | 32 | ||
7.5 | odd | 6 | 945.2.be.c.656.9 | 32 | |||
9.4 | even | 3 | 315.2.be.c.311.8 | yes | 32 | ||
9.5 | odd | 6 | 945.2.be.c.206.9 | 32 | |||
21.5 | even | 6 | 315.2.be.c.236.8 | yes | 32 | ||
63.5 | even | 6 | inner | 945.2.t.c.341.8 | 32 | ||
63.40 | odd | 6 | 315.2.t.c.131.9 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.t.c.101.8 | ✓ | 32 | 3.2 | odd | 2 | ||
315.2.t.c.131.9 | yes | 32 | 63.40 | odd | 6 | ||
315.2.be.c.236.8 | yes | 32 | 21.5 | even | 6 | ||
315.2.be.c.311.8 | yes | 32 | 9.4 | even | 3 | ||
945.2.t.c.341.8 | 32 | 63.5 | even | 6 | inner | ||
945.2.t.c.521.9 | 32 | 1.1 | even | 1 | trivial | ||
945.2.be.c.206.9 | 32 | 9.5 | odd | 6 | |||
945.2.be.c.656.9 | 32 | 7.5 | odd | 6 |