Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 595.1 | ||
Character | \(\chi\) | \(=\) | 722.595 |
Dual form | 722.2.e.s.415.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | −2.36816 | − | 0.861941i | −1.36726 | − | 0.497642i | −0.448969 | − | 0.893548i | \(-0.648209\pi\) |
−0.918291 | + | 0.395906i | \(0.870431\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −0.427114 | − | 2.42228i | −0.191011 | − | 1.08328i | −0.917986 | − | 0.396613i | \(-0.870185\pi\) |
0.726975 | − | 0.686664i | \(-0.240926\pi\) | |||||||
\(6\) | 2.36816 | − | 0.861941i | 0.966799 | − | 0.351886i | ||||
\(7\) | 1.39680 | − | 2.41933i | 0.527942 | − | 0.914422i | −0.471528 | − | 0.881851i | \(-0.656297\pi\) |
0.999469 | − | 0.0325705i | \(-0.0103694\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 2.56712 | + | 2.15407i | 0.855708 | + | 0.718024i | ||||
\(10\) | 1.88420 | + | 1.58103i | 0.595837 | + | 0.499966i | ||||
\(11\) | 0.839266 | + | 1.45365i | 0.253048 | + | 0.438292i | 0.964364 | − | 0.264581i | \(-0.0852336\pi\) |
−0.711315 | + | 0.702873i | \(0.751900\pi\) | |||||||
\(12\) | −1.26007 | + | 2.18251i | −0.363752 | + | 0.630037i | ||||
\(13\) | 5.96195 | − | 2.16997i | 1.65355 | − | 0.601842i | 0.664219 | − | 0.747538i | \(-0.268764\pi\) |
0.989329 | + | 0.145696i | \(0.0465422\pi\) | |||||||
\(14\) | 0.485104 | + | 2.75116i | 0.129650 | + | 0.735279i | ||||
\(15\) | −1.07639 | + | 6.10451i | −0.277923 | + | 1.57618i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 3.80661 | − | 3.19412i | 0.923238 | − | 0.774689i | −0.0513528 | − | 0.998681i | \(-0.516353\pi\) |
0.974591 | + | 0.223992i | \(0.0719088\pi\) | |||||||
\(18\) | −3.35114 | −0.789872 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −2.45965 | −0.549994 | ||||||||
\(21\) | −5.39318 | + | 4.52541i | −1.17689 | + | 0.987526i | ||||
\(22\) | −1.57730 | − | 0.574092i | −0.336282 | − | 0.122397i | ||||
\(23\) | −0.433930 | + | 2.46094i | −0.0904807 | + | 0.513141i | 0.905558 | + | 0.424222i | \(0.139452\pi\) |
−0.996039 | + | 0.0889193i | \(0.971659\pi\) | |||||||
\(24\) | −0.437619 | − | 2.48186i | −0.0893286 | − | 0.506608i | ||||
\(25\) | −0.986561 | + | 0.359079i | −0.197312 | + | 0.0718157i | ||||
\(26\) | −3.17229 | + | 5.49456i | −0.622137 | + | 1.07757i | ||||
\(27\) | −0.442463 | − | 0.766369i | −0.0851521 | − | 0.147488i | ||||
\(28\) | −2.14003 | − | 1.79569i | −0.404427 | − | 0.339354i | ||||
\(29\) | −4.54401 | − | 3.81288i | −0.843802 | − | 0.708034i | 0.114614 | − | 0.993410i | \(-0.463437\pi\) |
−0.958416 | + | 0.285376i | \(0.907881\pi\) | |||||||
\(30\) | −3.09934 | − | 5.36821i | −0.565859 | − | 0.980097i | ||||
\(31\) | 3.64204 | − | 6.30820i | 0.654130 | − | 1.13299i | −0.327982 | − | 0.944684i | \(-0.606368\pi\) |
0.982111 | − | 0.188302i | \(-0.0602983\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −0.734557 | − | 4.16588i | −0.127870 | − | 0.725187i | ||||
\(34\) | −0.862888 | + | 4.89368i | −0.147984 | + | 0.839260i | ||||
\(35\) | −6.45690 | − | 2.35012i | −1.09142 | − | 0.397243i | ||||
\(36\) | 2.56712 | − | 2.15407i | 0.427854 | − | 0.359012i | ||||
\(37\) | −0.550972 | −0.0905792 | −0.0452896 | − | 0.998974i | \(-0.514421\pi\) | ||||
−0.0452896 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −15.9893 | −2.56033 | ||||||||
\(40\) | 1.88420 | − | 1.58103i | 0.297918 | − | 0.249983i | ||||
\(41\) | −2.45017 | − | 0.891788i | −0.382652 | − | 0.139274i | 0.143530 | − | 0.989646i | \(-0.454155\pi\) |
−0.526182 | + | 0.850372i | \(0.676377\pi\) | |||||||
\(42\) | 1.22253 | − | 6.93334i | 0.188641 | − | 1.06984i | ||||
\(43\) | 0.498594 | + | 2.82767i | 0.0760349 | + | 0.431215i | 0.998933 | + | 0.0461721i | \(0.0147023\pi\) |
−0.922899 | + | 0.385043i | \(0.874187\pi\) | |||||||
\(44\) | 1.57730 | − | 0.574092i | 0.237787 | − | 0.0865476i | ||||
\(45\) | 4.12132 | − | 7.13833i | 0.614370 | − | 1.06412i | ||||
\(46\) | −1.24945 | − | 2.16411i | −0.184222 | − | 0.319081i | ||||
\(47\) | 0.571158 | + | 0.479258i | 0.0833119 | + | 0.0699070i | 0.683493 | − | 0.729958i | \(-0.260460\pi\) |
−0.600181 | + | 0.799865i | \(0.704905\pi\) | |||||||
\(48\) | 1.93054 | + | 1.61992i | 0.278650 | + | 0.233815i | ||||
\(49\) | −0.402113 | − | 0.696480i | −0.0574447 | − | 0.0994972i | ||||
\(50\) | 0.524938 | − | 0.909219i | 0.0742374 | − | 0.128583i | ||||
\(51\) | −11.7678 | + | 4.28314i | −1.64782 | + | 0.599759i | ||||
\(52\) | −1.10172 | − | 6.24819i | −0.152782 | − | 0.866468i | ||||
\(53\) | 0.255310 | − | 1.44793i | 0.0350695 | − | 0.198889i | −0.962239 | − | 0.272205i | \(-0.912247\pi\) |
0.997309 | + | 0.0733160i | \(0.0233582\pi\) | |||||||
\(54\) | 0.831559 | + | 0.302663i | 0.113161 | + | 0.0411872i | ||||
\(55\) | 3.16269 | − | 2.65381i | 0.426457 | − | 0.357840i | ||||
\(56\) | 2.79360 | 0.373311 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.93179 | 0.778882 | ||||||||
\(59\) | 3.80158 | − | 3.18990i | 0.494924 | − | 0.415290i | −0.360863 | − | 0.932619i | \(-0.617518\pi\) |
0.855787 | + | 0.517329i | \(0.173073\pi\) | |||||||
\(60\) | 5.82485 | + | 2.12007i | 0.751985 | + | 0.273700i | ||||
\(61\) | 1.62133 | − | 9.19501i | 0.207590 | − | 1.17730i | −0.685722 | − | 0.727863i | \(-0.740513\pi\) |
0.893312 | − | 0.449437i | \(-0.148375\pi\) | |||||||
\(62\) | 1.26487 | + | 7.17342i | 0.160638 | + | 0.911025i | ||||
\(63\) | 8.79718 | − | 3.20191i | 1.10834 | − | 0.403403i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −7.80272 | − | 13.5147i | −0.967808 | − | 1.67629i | ||||
\(66\) | 3.24048 | + | 2.71909i | 0.398876 | + | 0.334696i | ||||
\(67\) | −8.85581 | − | 7.43091i | −1.08191 | − | 0.907830i | −0.0858316 | − | 0.996310i | \(-0.527355\pi\) |
−0.996078 | + | 0.0884797i | \(0.971799\pi\) | |||||||
\(68\) | −2.48459 | − | 4.30343i | −0.301300 | − | 0.521868i | ||||
\(69\) | 3.14880 | − | 5.45389i | 0.379071 | − | 0.656571i | ||||
\(70\) | 6.45690 | − | 2.35012i | 0.771747 | − | 0.280893i | ||||
\(71\) | 1.21501 | + | 6.89068i | 0.144196 | + | 0.817774i | 0.968010 | + | 0.250913i | \(0.0807309\pi\) |
−0.823814 | + | 0.566860i | \(0.808158\pi\) | |||||||
\(72\) | −0.581920 | + | 3.30023i | −0.0685799 | + | 0.388936i | ||||
\(73\) | 5.81312 | + | 2.11580i | 0.680374 | + | 0.247636i | 0.659008 | − | 0.752136i | \(-0.270976\pi\) |
0.0213660 | + | 0.999772i | \(0.493198\pi\) | |||||||
\(74\) | 0.422069 | − | 0.354158i | 0.0490645 | − | 0.0411700i | ||||
\(75\) | 2.64584 | 0.305515 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.68915 | 0.534379 | ||||||||
\(78\) | 12.2485 | − | 10.2777i | 1.38687 | − | 1.16372i | ||||
\(79\) | −5.55507 | − | 2.02188i | −0.624994 | − | 0.227479i | 0.0100569 | − | 0.999949i | \(-0.496799\pi\) |
−0.635051 | + | 0.772470i | \(0.719021\pi\) | |||||||
\(80\) | −0.427114 | + | 2.42228i | −0.0477528 | + | 0.270819i | ||||
\(81\) | −1.35850 | − | 7.70442i | −0.150944 | − | 0.856047i | ||||
\(82\) | 2.45017 | − | 0.891788i | 0.270576 | − | 0.0984815i | ||||
\(83\) | −7.58866 | + | 13.1439i | −0.832964 | + | 1.44274i | 0.0627138 | + | 0.998032i | \(0.480024\pi\) |
−0.895678 | + | 0.444704i | \(0.853309\pi\) | |||||||
\(84\) | 3.52015 | + | 6.09707i | 0.384080 | + | 0.665245i | ||||
\(85\) | −9.36292 | − | 7.85643i | −1.01555 | − | 0.852149i | ||||
\(86\) | −2.19953 | − | 1.84563i | −0.237182 | − | 0.199019i | ||||
\(87\) | 7.47449 | + | 12.9462i | 0.801349 | + | 1.38798i | ||||
\(88\) | −0.839266 | + | 1.45365i | −0.0894660 | + | 0.154960i | ||||
\(89\) | 6.48859 | − | 2.36166i | 0.687790 | − | 0.250335i | 0.0256011 | − | 0.999672i | \(-0.491850\pi\) |
0.662189 | + | 0.749337i | \(0.269628\pi\) | |||||||
\(90\) | 1.43132 | + | 8.11741i | 0.150874 | + | 0.855650i | ||||
\(91\) | 3.07778 | − | 17.4550i | 0.322639 | − | 1.82978i | ||||
\(92\) | 2.34820 | + | 0.854675i | 0.244817 | + | 0.0891061i | ||||
\(93\) | −14.0622 | + | 11.7996i | −1.45819 | + | 1.22356i | ||||
\(94\) | −0.745593 | −0.0769021 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.52015 | −0.257211 | ||||||||
\(97\) | −11.0214 | + | 9.24803i | −1.11905 | + | 0.938995i | −0.998556 | − | 0.0537190i | \(-0.982892\pi\) |
−0.120495 | + | 0.992714i | \(0.538448\pi\) | |||||||
\(98\) | 0.755725 | + | 0.275062i | 0.0763398 | + | 0.0277854i | ||||
\(99\) | −0.976770 | + | 5.53954i | −0.0981691 | + | 0.556745i | ||||
\(100\) | 0.182309 | + | 1.03393i | 0.0182309 | + | 0.103393i | ||||
\(101\) | −10.6025 | + | 3.85899i | −1.05499 | + | 0.383984i | −0.810543 | − | 0.585680i | \(-0.800828\pi\) |
−0.244444 | + | 0.969663i | \(0.578605\pi\) | |||||||
\(102\) | 6.26153 | − | 10.8453i | 0.619983 | − | 1.07384i | ||||
\(103\) | 7.41399 | + | 12.8414i | 0.730522 | + | 1.26530i | 0.956660 | + | 0.291206i | \(0.0940565\pi\) |
−0.226138 | + | 0.974095i | \(0.572610\pi\) | |||||||
\(104\) | 4.86023 | + | 4.07822i | 0.476585 | + | 0.399902i | ||||
\(105\) | 13.2653 | + | 11.1309i | 1.29456 | + | 1.08627i | ||||
\(106\) | 0.735136 | + | 1.27329i | 0.0714027 | + | 0.123673i | ||||
\(107\) | −1.41424 | + | 2.44954i | −0.136720 | + | 0.236806i | −0.926253 | − | 0.376902i | \(-0.876989\pi\) |
0.789533 | + | 0.613708i | \(0.210323\pi\) | |||||||
\(108\) | −0.831559 | + | 0.302663i | −0.0800168 | + | 0.0291237i | ||||
\(109\) | −0.299611 | − | 1.69918i | −0.0286975 | − | 0.162752i | 0.967091 | − | 0.254430i | \(-0.0818879\pi\) |
−0.995789 | + | 0.0916785i | \(0.970777\pi\) | |||||||
\(110\) | −0.716924 | + | 4.06588i | −0.0683560 | + | 0.387666i | ||||
\(111\) | 1.30479 | + | 0.474905i | 0.123845 | + | 0.0450760i | ||||
\(112\) | −2.14003 | + | 1.79569i | −0.202213 | + | 0.169677i | ||||
\(113\) | 0.427785 | 0.0402426 | 0.0201213 | − | 0.999798i | \(-0.493595\pi\) | ||||
0.0201213 | + | 0.999798i | \(0.493595\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.14643 | 0.573157 | ||||||||
\(116\) | −4.54401 | + | 3.81288i | −0.421901 | + | 0.354017i | ||||
\(117\) | 19.9793 | + | 7.27189i | 1.84709 | + | 0.672286i | ||||
\(118\) | −0.861748 | + | 4.88722i | −0.0793304 | + | 0.449905i | ||||
\(119\) | −2.41057 | − | 13.6710i | −0.220976 | − | 1.25322i | ||||
\(120\) | −5.82485 | + | 2.12007i | −0.531734 | + | 0.193535i | ||||
\(121\) | 4.09127 | − | 7.08628i | 0.371933 | − | 0.644207i | ||||
\(122\) | 4.66843 | + | 8.08596i | 0.422660 | + | 0.732068i | ||||
\(123\) | 5.03373 | + | 4.22380i | 0.453876 | + | 0.380847i | ||||
\(124\) | −5.57993 | − | 4.68212i | −0.501092 | − | 0.420466i | ||||
\(125\) | −4.85796 | − | 8.41423i | −0.434509 | − | 0.752592i | ||||
\(126\) | −4.68088 | + | 8.10752i | −0.417006 | + | 0.722276i | ||||
\(127\) | −1.06779 | + | 0.388643i | −0.0947509 | + | 0.0344865i | −0.388961 | − | 0.921254i | \(-0.627166\pi\) |
0.294210 | + | 0.955741i | \(0.404944\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | 1.25653 | − | 7.12614i | 0.110631 | − | 0.627421i | ||||
\(130\) | 14.6643 | + | 5.33737i | 1.28615 | + | 0.468119i | ||||
\(131\) | −13.6674 | + | 11.4683i | −1.19412 | + | 1.00199i | −0.194347 | + | 0.980933i | \(0.562259\pi\) |
−0.999778 | + | 0.0210568i | \(0.993297\pi\) | |||||||
\(132\) | −4.23015 | −0.368187 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.5604 | 0.998670 | ||||||||
\(135\) | −1.66738 | + | 1.39910i | −0.143505 | + | 0.120415i | ||||
\(136\) | 4.66950 | + | 1.69956i | 0.400406 | + | 0.145736i | ||||
\(137\) | −2.76372 | + | 15.6738i | −0.236121 | + | 1.33911i | 0.604120 | + | 0.796893i | \(0.293525\pi\) |
−0.840241 | + | 0.542214i | \(0.817586\pi\) | |||||||
\(138\) | 1.09357 | + | 6.20193i | 0.0930907 | + | 0.527943i | ||||
\(139\) | −9.50985 | + | 3.46130i | −0.806615 | + | 0.293584i | −0.712225 | − | 0.701951i | \(-0.752312\pi\) |
−0.0943901 | + | 0.995535i | \(0.530090\pi\) | |||||||
\(140\) | −3.43564 | + | 5.95071i | −0.290365 | + | 0.502927i | ||||
\(141\) | −0.939503 | − | 1.62727i | −0.0791204 | − | 0.137041i | ||||
\(142\) | −5.36000 | − | 4.49757i | −0.449801 | − | 0.377428i | ||||
\(143\) | 8.15804 | + | 6.84541i | 0.682210 | + | 0.572442i | ||||
\(144\) | −1.67557 | − | 2.90217i | −0.139631 | − | 0.241848i | ||||
\(145\) | −7.29506 | + | 12.6354i | −0.605821 | + | 1.04931i | ||||
\(146\) | −5.81312 | + | 2.11580i | −0.481097 | + | 0.175105i | ||||
\(147\) | 0.351945 | + | 1.99598i | 0.0290279 | + | 0.164625i | ||||
\(148\) | −0.0956753 | + | 0.542602i | −0.00786446 | + | 0.0446016i | ||||
\(149\) | −8.83171 | − | 3.21448i | −0.723522 | − | 0.263340i | −0.0461017 | − | 0.998937i | \(-0.514680\pi\) |
−0.677420 | + | 0.735596i | \(0.736902\pi\) | |||||||
\(150\) | −2.02683 | + | 1.70071i | −0.165490 | + | 0.138863i | ||||
\(151\) | 10.2632 | 0.835210 | 0.417605 | − | 0.908629i | \(-0.362870\pi\) | ||||
0.417605 | + | 0.908629i | \(0.362870\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.6524 | 1.34627 | ||||||||
\(154\) | −3.59210 | + | 3.01413i | −0.289460 | + | 0.242885i | ||||
\(155\) | −16.8358 | − | 6.12773i | −1.35228 | − | 0.492191i | ||||
\(156\) | −2.77651 | + | 15.7464i | −0.222298 | + | 1.26072i | ||||
\(157\) | 0.516408 | + | 2.92869i | 0.0412138 | + | 0.233735i | 0.998456 | − | 0.0555535i | \(-0.0176923\pi\) |
−0.957242 | + | 0.289289i | \(0.906581\pi\) | |||||||
\(158\) | 5.55507 | − | 2.02188i | 0.441938 | − | 0.160852i | ||||
\(159\) | −1.85265 | + | 3.20888i | −0.146925 | + | 0.254481i | ||||
\(160\) | −1.22982 | − | 2.13012i | −0.0972262 | − | 0.168401i | ||||
\(161\) | 5.34772 | + | 4.48727i | 0.421459 | + | 0.353646i | ||||
\(162\) | 5.99298 | + | 5.02871i | 0.470853 | + | 0.395092i | ||||
\(163\) | −2.79595 | − | 4.84273i | −0.218996 | − | 0.379312i | 0.735505 | − | 0.677519i | \(-0.236945\pi\) |
−0.954501 | + | 0.298207i | \(0.903612\pi\) | |||||||
\(164\) | −1.30371 | + | 2.25809i | −0.101802 | + | 0.176327i | ||||
\(165\) | −9.77720 | + | 3.55861i | −0.761154 | + | 0.277037i | ||||
\(166\) | −2.63551 | − | 14.9467i | −0.204556 | − | 1.16009i | ||||
\(167\) | 1.23006 | − | 6.97599i | 0.0951845 | − | 0.539818i | −0.899506 | − | 0.436908i | \(-0.856073\pi\) |
0.994691 | − | 0.102910i | \(-0.0328154\pi\) | |||||||
\(168\) | −6.61571 | − | 2.40792i | −0.510413 | − | 0.185775i | ||||
\(169\) | 20.8775 | − | 17.5183i | 1.60596 | − | 1.34756i | ||||
\(170\) | 12.2224 | 0.937418 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.87129 | 0.218934 | ||||||||
\(173\) | 17.6350 | − | 14.7975i | 1.34076 | − | 1.12503i | 0.359331 | − | 0.933210i | \(-0.383005\pi\) |
0.981430 | − | 0.191822i | \(-0.0614396\pi\) | |||||||
\(174\) | −14.0474 | − | 5.11285i | −1.06493 | − | 0.387604i | ||||
\(175\) | −0.509299 | + | 2.88838i | −0.0384994 | + | 0.218341i | ||||
\(176\) | −0.291474 | − | 1.65303i | −0.0219707 | − | 0.124602i | ||||
\(177\) | −11.7523 | + | 4.27748i | −0.883355 | + | 0.321515i | ||||
\(178\) | −3.45251 | + | 5.97992i | −0.258776 | + | 0.448214i | ||||
\(179\) | 4.10736 | + | 7.11415i | 0.306998 | + | 0.531736i | 0.977704 | − | 0.209987i | \(-0.0673421\pi\) |
−0.670706 | + | 0.741723i | \(0.734009\pi\) | |||||||
\(180\) | −6.31422 | − | 5.29826i | −0.470634 | − | 0.394909i | ||||
\(181\) | 9.95849 | + | 8.35617i | 0.740209 | + | 0.621109i | 0.932894 | − | 0.360152i | \(-0.117275\pi\) |
−0.192685 | + | 0.981261i | \(0.561720\pi\) | |||||||
\(182\) | 8.86212 | + | 15.3496i | 0.656904 | + | 1.13779i | ||||
\(183\) | −11.7651 | + | 20.3778i | −0.869703 | + | 1.50637i | ||||
\(184\) | −2.34820 | + | 0.854675i | −0.173112 | + | 0.0630075i | ||||
\(185\) | 0.235328 | + | 1.33461i | 0.0173016 | + | 0.0981224i | ||||
\(186\) | 3.18765 | − | 18.0781i | 0.233730 | − | 1.32555i | ||||
\(187\) | 7.83790 | + | 2.85276i | 0.573164 | + | 0.208615i | ||||
\(188\) | 0.571158 | − | 0.479258i | 0.0416560 | − | 0.0349535i | ||||
\(189\) | −2.47214 | −0.179821 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.57479 | 0.475735 | 0.237868 | − | 0.971298i | \(-0.423552\pi\) | ||||
0.237868 | + | 0.971298i | \(0.423552\pi\) | |||||||
\(192\) | 1.93054 | − | 1.61992i | 0.139325 | − | 0.116908i | ||||
\(193\) | 25.2614 | + | 9.19440i | 1.81836 | + | 0.661827i | 0.995630 | + | 0.0933887i | \(0.0297699\pi\) |
0.822726 | + | 0.568439i | \(0.192452\pi\) | |||||||
\(194\) | 2.49834 | − | 14.1688i | 0.179370 | − | 1.01726i | ||||
\(195\) | 6.82923 | + | 38.7305i | 0.489052 | + | 2.77355i | ||||
\(196\) | −0.755725 | + | 0.275062i | −0.0539804 | + | 0.0196473i | ||||
\(197\) | 4.92470 | − | 8.52983i | 0.350870 | − | 0.607725i | −0.635532 | − | 0.772075i | \(-0.719219\pi\) |
0.986402 | + | 0.164349i | \(0.0525524\pi\) | |||||||
\(198\) | −2.81250 | − | 4.87139i | −0.199876 | − | 0.346195i | ||||
\(199\) | −15.6779 | − | 13.1554i | −1.11138 | − | 0.932558i | −0.113243 | − | 0.993567i | \(-0.536124\pi\) |
−0.998137 | + | 0.0610089i | \(0.980568\pi\) | |||||||
\(200\) | −0.804252 | − | 0.674847i | −0.0568692 | − | 0.0477189i | ||||
\(201\) | 14.5670 | + | 25.2308i | 1.02748 | + | 1.77964i | ||||
\(202\) | 5.64146 | − | 9.77130i | 0.396932 | − | 0.687506i | ||||
\(203\) | −15.5717 | + | 5.66764i | −1.09292 | + | 0.397790i | ||||
\(204\) | 2.17461 | + | 12.3328i | 0.152253 | + | 0.863469i | ||||
\(205\) | −1.11366 | + | 6.31589i | −0.0777815 | + | 0.441121i | ||||
\(206\) | −13.9337 | − | 5.07147i | −0.970810 | − | 0.353346i | ||||
\(207\) | −6.41499 | + | 5.38282i | −0.445873 | + | 0.374132i | ||||
\(208\) | −6.34458 | −0.439917 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −17.3167 | −1.19496 | ||||||||
\(211\) | −6.21744 | + | 5.21705i | −0.428026 | + | 0.359157i | −0.831206 | − | 0.555964i | \(-0.812349\pi\) |
0.403180 | + | 0.915121i | \(0.367905\pi\) | |||||||
\(212\) | −1.38160 | − | 0.502862i | −0.0948889 | − | 0.0345367i | ||||
\(213\) | 3.06201 | − | 17.3655i | 0.209806 | − | 1.18987i | ||||
\(214\) | −0.491162 | − | 2.78552i | −0.0335751 | − | 0.190414i | ||||
\(215\) | 6.63645 | − | 2.41547i | 0.452602 | − | 0.164734i | ||||
\(216\) | 0.442463 | − | 0.766369i | 0.0301058 | − | 0.0521448i | ||||
\(217\) | −10.1744 | − | 17.6226i | −0.690684 | − | 1.19630i | ||||
\(218\) | 1.32173 | + | 1.10906i | 0.0895185 | + | 0.0751150i | ||||
\(219\) | −11.9427 | − | 10.0211i | −0.807014 | − | 0.677165i | ||||
\(220\) | −2.06430 | − | 3.57547i | −0.139175 | − | 0.241058i | ||||
\(221\) | 15.7637 | − | 27.3035i | 1.06038 | − | 1.83663i | ||||
\(222\) | −1.30479 | + | 0.474905i | −0.0875719 | + | 0.0318736i | ||||
\(223\) | −1.86742 | − | 10.5906i | −0.125051 | − | 0.709202i | −0.981277 | − | 0.192600i | \(-0.938308\pi\) |
0.856226 | − | 0.516602i | \(-0.172803\pi\) | |||||||
\(224\) | 0.485104 | − | 2.75116i | 0.0324124 | − | 0.183820i | ||||
\(225\) | −3.30610 | − | 1.20332i | −0.220407 | − | 0.0802216i | ||||
\(226\) | −0.327702 | + | 0.274975i | −0.0217984 | + | 0.0182911i | ||||
\(227\) | −27.0936 | −1.79827 | −0.899133 | − | 0.437676i | \(-0.855802\pi\) | ||||
−0.899133 | + | 0.437676i | \(0.855802\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.46557 | 0.625503 | 0.312751 | − | 0.949835i | \(-0.398749\pi\) | ||||
0.312751 | + | 0.949835i | \(0.398749\pi\) | |||||||
\(230\) | −4.70844 | + | 3.95085i | −0.310465 | + | 0.260511i | ||||
\(231\) | −11.1047 | − | 4.04177i | −0.730634 | − | 0.265929i | ||||
\(232\) | 1.03004 | − | 5.84167i | 0.0676257 | − | 0.383524i | ||||
\(233\) | 3.96996 | + | 22.5148i | 0.260081 | + | 1.47499i | 0.782686 | + | 0.622417i | \(0.213849\pi\) |
−0.522605 | + | 0.852575i | \(0.675040\pi\) | |||||||
\(234\) | −19.9793 | + | 7.27189i | −1.30609 | + | 0.475378i | ||||
\(235\) | 0.916949 | − | 1.58820i | 0.0598152 | − | 0.103603i | ||||
\(236\) | −2.48131 | − | 4.29775i | −0.161519 | − | 0.279759i | ||||
\(237\) | 11.4126 | + | 9.57629i | 0.741326 | + | 0.622047i | ||||
\(238\) | 10.6342 | + | 8.92312i | 0.689310 | + | 0.578400i | ||||
\(239\) | −4.33306 | − | 7.50508i | −0.280282 | − | 0.485463i | 0.691172 | − | 0.722690i | \(-0.257095\pi\) |
−0.971454 | + | 0.237227i | \(0.923761\pi\) | |||||||
\(240\) | 3.09934 | − | 5.36821i | 0.200061 | − | 0.346517i | ||||
\(241\) | 5.31702 | − | 1.93524i | 0.342500 | − | 0.124660i | −0.165043 | − | 0.986286i | \(-0.552776\pi\) |
0.507542 | + | 0.861627i | \(0.330554\pi\) | |||||||
\(242\) | 1.42088 | + | 8.05822i | 0.0913377 | + | 0.518002i | ||||
\(243\) | −3.88461 | + | 22.0307i | −0.249198 | + | 1.41327i | ||||
\(244\) | −8.77378 | − | 3.19339i | −0.561684 | − | 0.204436i | ||||
\(245\) | −1.51532 | + | 1.27151i | −0.0968105 | + | 0.0812336i | ||||
\(246\) | −6.57106 | −0.418956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 7.28408 | 0.462539 | ||||||||
\(249\) | 29.3005 | − | 24.5860i | 1.85684 | − | 1.55808i | ||||
\(250\) | 9.12998 | + | 3.32304i | 0.577431 | + | 0.210168i | ||||
\(251\) | −2.35384 | + | 13.3493i | −0.148573 | + | 0.842600i | 0.815855 | + | 0.578256i | \(0.196267\pi\) |
−0.964428 | + | 0.264344i | \(0.914845\pi\) | |||||||
\(252\) | −1.62565 | − | 9.21954i | −0.102407 | − | 0.580776i | ||||
\(253\) | −3.94153 | + | 1.43460i | −0.247802 | + | 0.0901925i | ||||
\(254\) | 0.568158 | − | 0.984079i | 0.0356494 | − | 0.0617466i | ||||
\(255\) | 15.4012 | + | 26.6756i | 0.964458 | + | 1.67049i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −7.69051 | − | 6.45311i | −0.479721 | − | 0.402534i | 0.370604 | − | 0.928791i | \(-0.379151\pi\) |
−0.850326 | + | 0.526257i | \(0.823595\pi\) | |||||||
\(258\) | 3.61803 | + | 6.26662i | 0.225249 | + | 0.390143i | ||||
\(259\) | −0.769599 | + | 1.33298i | −0.0478206 | + | 0.0828276i | ||||
\(260\) | −14.6643 | + | 5.33737i | −0.909442 | + | 0.331010i | ||||
\(261\) | −3.45182 | − | 19.5763i | −0.213662 | − | 1.21174i | ||||
\(262\) | 3.09814 | − | 17.5705i | 0.191404 | − | 1.08551i | ||||
\(263\) | 17.6908 | + | 6.43893i | 1.09086 | + | 0.397042i | 0.823940 | − | 0.566676i | \(-0.191771\pi\) |
0.266922 | + | 0.963718i | \(0.413993\pi\) | |||||||
\(264\) | 3.24048 | − | 2.71909i | 0.199438 | − | 0.167348i | ||||
\(265\) | −3.61635 | −0.222151 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −17.4017 | −1.06496 | ||||||||
\(268\) | −8.85581 | + | 7.43091i | −0.540955 | + | 0.453915i | ||||
\(269\) | −15.3947 | − | 5.60321i | −0.938630 | − | 0.341633i | −0.173005 | − | 0.984921i | \(-0.555348\pi\) |
−0.765625 | + | 0.643287i | \(0.777570\pi\) | |||||||
\(270\) | 0.377964 | − | 2.14354i | 0.0230022 | − | 0.130452i | ||||
\(271\) | −0.480456 | − | 2.72480i | −0.0291856 | − | 0.165520i | 0.966731 | − | 0.255794i | \(-0.0823368\pi\) |
−0.995917 | + | 0.0902740i | \(0.971226\pi\) | |||||||
\(272\) | −4.66950 | + | 1.69956i | −0.283130 | + | 0.103051i | ||||
\(273\) | −22.3338 | + | 38.6833i | −1.35171 | + | 2.34122i | ||||
\(274\) | −7.95782 | − | 13.7833i | −0.480749 | − | 0.832682i | ||||
\(275\) | −1.34996 | − | 1.13275i | −0.0814057 | − | 0.0683075i | ||||
\(276\) | −4.82425 | − | 4.04802i | −0.290385 | − | 0.243662i | ||||
\(277\) | −12.2661 | − | 21.2454i | −0.736996 | − | 1.27651i | −0.953842 | − | 0.300309i | \(-0.902910\pi\) |
0.216846 | − | 0.976206i | \(-0.430423\pi\) | |||||||
\(278\) | 5.06008 | − | 8.76432i | 0.303484 | − | 0.525649i | ||||
\(279\) | 22.9379 | − | 8.34870i | 1.37325 | − | 0.499824i | ||||
\(280\) | −1.19319 | − | 6.76690i | −0.0713065 | − | 0.404399i | ||||
\(281\) | −1.76606 | + | 10.0159i | −0.105355 | + | 0.597496i | 0.885724 | + | 0.464213i | \(0.153663\pi\) |
−0.991078 | + | 0.133282i | \(0.957448\pi\) | |||||||
\(282\) | 1.76569 | + | 0.642658i | 0.105145 | + | 0.0382697i | ||||
\(283\) | 21.1948 | − | 17.7845i | 1.25990 | − | 1.05718i | 0.264205 | − | 0.964467i | \(-0.414890\pi\) |
0.995693 | − | 0.0927133i | \(-0.0295540\pi\) | |||||||
\(284\) | 6.99698 | 0.415195 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.6496 | −0.629722 | ||||||||
\(287\) | −5.57993 | + | 4.68212i | −0.329373 | + | 0.276377i | ||||
\(288\) | 3.14904 | + | 1.14616i | 0.185559 | + | 0.0675380i | ||||
\(289\) | 1.33582 | − | 7.57583i | 0.0785778 | − | 0.445637i | ||||
\(290\) | −2.53355 | − | 14.3685i | −0.148775 | − | 0.843745i | ||||
\(291\) | 34.0717 | − | 12.4011i | 1.99732 | − | 0.726964i | ||||
\(292\) | 3.09310 | − | 5.35740i | 0.181010 | − | 0.313518i | ||||
\(293\) | 11.9193 | + | 20.6448i | 0.696333 | + | 1.20608i | 0.969729 | + | 0.244182i | \(0.0785196\pi\) |
−0.273396 | + | 0.961901i | \(0.588147\pi\) | |||||||
\(294\) | −1.55259 | − | 1.30278i | −0.0905491 | − | 0.0759797i | ||||
\(295\) | −9.35056 | − | 7.84605i | −0.544410 | − | 0.456815i | ||||
\(296\) | −0.275486 | − | 0.477156i | −0.0160123 | − | 0.0277341i | ||||
\(297\) | 0.742689 | − | 1.28637i | 0.0430952 | − | 0.0746430i | ||||
\(298\) | 8.83171 | − | 3.21448i | 0.511607 | − | 0.186210i | ||||
\(299\) | 2.75310 | + | 15.6136i | 0.159216 | + | 0.902959i | ||||
\(300\) | 0.459446 | − | 2.60565i | 0.0265261 | − | 0.150437i | ||||
\(301\) | 7.53750 | + | 2.74343i | 0.434454 | + | 0.158128i | ||||
\(302\) | −7.86209 | + | 6.59708i | −0.452413 | + | 0.379619i | ||||
\(303\) | 28.4346 | 1.63353 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −22.9654 | −1.31500 | ||||||||
\(306\) | −12.7565 | + | 10.7040i | −0.729240 | + | 0.611905i | ||||
\(307\) | 24.4211 | + | 8.88857i | 1.39379 | + | 0.507297i | 0.926328 | − | 0.376717i | \(-0.122947\pi\) |
0.467460 | + | 0.884014i | \(0.345169\pi\) | |||||||
\(308\) | 0.814263 | − | 4.61791i | 0.0463969 | − | 0.263130i | ||||
\(309\) | −6.48900 | − | 36.8010i | −0.369147 | − | 2.09353i | ||||
\(310\) | 16.8358 | − | 6.12773i | 0.956209 | − | 0.348032i | ||||
\(311\) | 11.5522 | − | 20.0089i | 0.655063 | − | 1.13460i | −0.326814 | − | 0.945089i | \(-0.605975\pi\) |
0.981878 | − | 0.189515i | \(-0.0606914\pi\) | |||||||
\(312\) | −7.99463 | − | 13.8471i | −0.452607 | − | 0.783938i | ||||
\(313\) | 9.39531 | + | 7.88360i | 0.531054 | + | 0.445607i | 0.868465 | − | 0.495750i | \(-0.165107\pi\) |
−0.337411 | + | 0.941357i | \(0.609551\pi\) | |||||||
\(314\) | −2.27812 | − | 1.91157i | −0.128562 | − | 0.107876i | ||||
\(315\) | −11.5133 | − | 19.9417i | −0.648703 | − | 1.12359i | ||||
\(316\) | −2.95579 | + | 5.11958i | −0.166276 | + | 0.287999i | ||||
\(317\) | −0.255883 | + | 0.0931338i | −0.0143718 | + | 0.00523091i | −0.349196 | − | 0.937050i | \(-0.613545\pi\) |
0.334824 | + | 0.942281i | \(0.391323\pi\) | |||||||
\(318\) | −0.643418 | − | 3.64901i | −0.0360811 | − | 0.204626i | ||||
\(319\) | 1.72896 | − | 9.80542i | 0.0968032 | − | 0.548998i | ||||
\(320\) | 2.31131 | + | 0.841250i | 0.129206 | + | 0.0470273i | ||||
\(321\) | 5.46052 | − | 4.58192i | 0.304776 | − | 0.255738i | ||||
\(322\) | −6.98095 | −0.389033 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −7.82328 | −0.434626 | ||||||||
\(325\) | −5.10264 | + | 4.28162i | −0.283043 | + | 0.237502i | ||||
\(326\) | 5.25468 | + | 1.91255i | 0.291030 | + | 0.105926i | ||||
\(327\) | −0.755063 | + | 4.28218i | −0.0417551 | + | 0.236805i | ||||
\(328\) | −0.452772 | − | 2.56780i | −0.0250002 | − | 0.141783i | ||||
\(329\) | 1.95728 | − | 0.712391i | 0.107908 | − | 0.0392754i | ||||
\(330\) | 5.20234 | − | 9.01071i | 0.286379 | − | 0.496024i | ||||
\(331\) | −9.99650 | − | 17.3144i | −0.549457 | − | 0.951688i | −0.998312 | − | 0.0580830i | \(-0.981501\pi\) |
0.448855 | − | 0.893605i | \(-0.351832\pi\) | |||||||
\(332\) | 11.6265 | + | 9.75579i | 0.638087 | + | 0.535419i | ||||
\(333\) | −1.41441 | − | 1.18683i | −0.0775094 | − | 0.0650381i | ||||
\(334\) | 3.54180 | + | 6.13458i | 0.193799 | + | 0.335669i | ||||
\(335\) | −14.2173 | + | 24.6251i | −0.776775 | + | 1.34541i | ||||
\(336\) | 6.61571 | − | 2.40792i | 0.360917 | − | 0.131363i | ||||
\(337\) | 3.00106 | + | 17.0199i | 0.163478 | + | 0.927131i | 0.950620 | + | 0.310358i | \(0.100449\pi\) |
−0.787141 | + | 0.616772i | \(0.788440\pi\) | |||||||
\(338\) | −4.73255 | + | 26.8396i | −0.257417 | + | 1.45988i | ||||
\(339\) | −1.01306 | − | 0.368725i | −0.0550221 | − | 0.0200264i | ||||
\(340\) | −9.36292 | + | 7.85643i | −0.507776 | + | 0.426075i | ||||
\(341\) | 12.2266 | 0.662105 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.3085 | 0.934573 | ||||||||
\(344\) | −2.19953 | + | 1.84563i | −0.118591 | + | 0.0995096i | ||||
\(345\) | −14.5557 | − | 5.29786i | −0.783655 | − | 0.285227i | ||||
\(346\) | −3.99752 | + | 22.6711i | −0.214908 | + | 1.21880i | ||||
\(347\) | −3.22041 | − | 18.2638i | −0.172880 | − | 0.980454i | −0.940562 | − | 0.339622i | \(-0.889701\pi\) |
0.767681 | − | 0.640832i | \(-0.221410\pi\) | |||||||
\(348\) | 14.0474 | − | 5.11285i | 0.753022 | − | 0.274077i | ||||
\(349\) | 10.0605 | − | 17.4253i | 0.538527 | − | 0.932755i | −0.460457 | − | 0.887682i | \(-0.652314\pi\) |
0.998984 | − | 0.0450735i | \(-0.0143522\pi\) | |||||||
\(350\) | −1.46647 | − | 2.54000i | −0.0783861 | − | 0.135769i | ||||
\(351\) | −4.30095 | − | 3.60892i | −0.229568 | − | 0.192630i | ||||
\(352\) | 1.28583 | + | 1.07894i | 0.0685350 | + | 0.0575077i | ||||
\(353\) | −12.0278 | − | 20.8328i | −0.640177 | − | 1.10882i | −0.985393 | − | 0.170296i | \(-0.945527\pi\) |
0.345215 | − | 0.938523i | \(-0.387806\pi\) | |||||||
\(354\) | 6.25325 | − | 10.8310i | 0.332357 | − | 0.575659i | ||||
\(355\) | 16.1722 | − | 5.88621i | 0.858333 | − | 0.312408i | ||||
\(356\) | −1.19904 | − | 6.80011i | −0.0635492 | − | 0.360405i | ||||
\(357\) | −6.07499 | + | 34.4530i | −0.321522 | + | 1.82344i | ||||
\(358\) | −7.71930 | − | 2.80960i | −0.407978 | − | 0.148492i | ||||
\(359\) | −8.31423 | + | 6.97647i | −0.438808 | + | 0.368204i | −0.835263 | − | 0.549850i | \(-0.814685\pi\) |
0.396455 | + | 0.918054i | \(0.370240\pi\) | |||||||
\(360\) | 8.24263 | 0.434425 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −12.9999 | −0.683259 | ||||||||
\(363\) | −15.7967 | + | 13.2550i | −0.829114 | + | 0.695709i | ||||
\(364\) | −16.6553 | − | 6.06205i | −0.872977 | − | 0.317738i | ||||
\(365\) | 2.64221 | − | 14.9847i | 0.138299 | − | 0.784335i | ||||
\(366\) | −4.08599 | − | 23.1728i | −0.213578 | − | 1.21126i | ||||
\(367\) | 30.6453 | − | 11.1540i | 1.59967 | − | 0.582233i | 0.620312 | − | 0.784355i | \(-0.287006\pi\) |
0.979360 | + | 0.202122i | \(0.0647836\pi\) | |||||||
\(368\) | 1.24945 | − | 2.16411i | 0.0651322 | − | 0.112812i | ||||
\(369\) | −4.36890 | − | 7.56716i | −0.227436 | − | 0.393931i | ||||
\(370\) | −1.03814 | − | 0.871105i | −0.0539704 | − | 0.0452866i | ||||
\(371\) | −3.14642 | − | 2.64016i | −0.163354 | − | 0.137070i | ||||
\(372\) | 9.17848 | + | 15.8976i | 0.475882 | + | 0.824251i | ||||
\(373\) | −2.65099 | + | 4.59165i | −0.137263 | + | 0.237746i | −0.926460 | − | 0.376394i | \(-0.877164\pi\) |
0.789197 | + | 0.614141i | \(0.210497\pi\) | |||||||
\(374\) | −7.83790 | + | 2.85276i | −0.405288 | + | 0.147513i | ||||
\(375\) | 4.25187 | + | 24.1136i | 0.219566 | + | 1.24522i | ||||
\(376\) | −0.129471 | + | 0.734266i | −0.00667695 | + | 0.0378669i | ||||
\(377\) | −35.3650 | − | 12.8718i | −1.82139 | − | 0.662932i | ||||
\(378\) | 1.89377 | − | 1.58906i | 0.0974048 | − | 0.0817323i | ||||
\(379\) | −24.6656 | −1.26699 | −0.633494 | − | 0.773748i | \(-0.718380\pi\) | ||||
−0.633494 | + | 0.773748i | \(0.718380\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.86368 | 0.146711 | ||||||||
\(382\) | −5.03658 | + | 4.22620i | −0.257694 | + | 0.216231i | ||||
\(383\) | 3.42439 | + | 1.24638i | 0.174978 | + | 0.0636868i | 0.428024 | − | 0.903768i | \(-0.359210\pi\) |
−0.253045 | + | 0.967454i | \(0.581432\pi\) | |||||||
\(384\) | −0.437619 | + | 2.48186i | −0.0223321 | + | 0.126652i | ||||
\(385\) | −2.00280 | − | 11.3585i | −0.102072 | − | 0.578880i | ||||
\(386\) | −25.2614 | + | 9.19440i | −1.28577 | + | 0.467983i | ||||
\(387\) | −4.81105 | + | 8.33298i | −0.244559 | + | 0.423589i | ||||
\(388\) | 7.19369 | + | 12.4598i | 0.365204 | + | 0.632552i | ||||
\(389\) | 2.13997 | + | 1.79565i | 0.108501 | + | 0.0910430i | 0.695424 | − | 0.718600i | \(-0.255217\pi\) |
−0.586923 | + | 0.809643i | \(0.699661\pi\) | |||||||
\(390\) | −30.1270 | − | 25.2795i | −1.52554 | − | 1.28008i | ||||
\(391\) | 6.20875 | + | 10.7539i | 0.313990 | + | 0.543846i | ||||
\(392\) | 0.402113 | − | 0.696480i | 0.0203098 | − | 0.0351776i | ||||
\(393\) | 42.2516 | − | 15.3783i | 2.13131 | − | 0.775734i | ||||
\(394\) | 1.71033 | + | 9.69977i | 0.0861652 | + | 0.488667i | ||||
\(395\) | −2.52492 | + | 14.3195i | −0.127042 | + | 0.720493i | ||||
\(396\) | 5.28577 | + | 1.92386i | 0.265620 | + | 0.0966777i | ||||
\(397\) | −30.2665 | + | 25.3966i | −1.51903 | + | 1.27462i | −0.675778 | + | 0.737105i | \(0.736192\pi\) |
−0.843254 | + | 0.537515i | \(0.819363\pi\) | |||||||
\(398\) | 20.4661 | 1.02587 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.04988 | 0.0524938 | ||||||||
\(401\) | 14.2649 | − | 11.9696i | 0.712354 | − | 0.597736i | −0.212905 | − | 0.977073i | \(-0.568292\pi\) |
0.925258 | + | 0.379337i | \(0.123848\pi\) | |||||||
\(402\) | −27.3770 | − | 9.96442i | −1.36544 | − | 0.496980i | ||||
\(403\) | 8.02505 | − | 45.5123i | 0.399756 | − | 2.26713i | ||||
\(404\) | 1.95926 | + | 11.1115i | 0.0974768 | + | 0.552818i | ||||
\(405\) | −18.0821 | + | 6.58133i | −0.898504 | + | 0.327029i | ||||
\(406\) | 8.28553 | − | 14.3510i | 0.411204 | − | 0.712226i | ||||
\(407\) | −0.462412 | − | 0.800921i | −0.0229209 | − | 0.0397002i | ||||
\(408\) | −9.59321 | − | 8.04966i | −0.474935 | − | 0.398518i | ||||
\(409\) | 13.1325 | + | 11.0195i | 0.649361 | + | 0.544879i | 0.906877 | − | 0.421395i | \(-0.138460\pi\) |
−0.257516 | + | 0.966274i | \(0.582904\pi\) | |||||||
\(410\) | −3.20666 | − | 5.55410i | −0.158366 | − | 0.274297i | ||||
\(411\) | 20.0549 | − | 34.7361i | 0.989234 | − | 1.71340i | ||||
\(412\) | 13.9337 | − | 5.07147i | 0.686466 | − | 0.249853i | ||||
\(413\) | −2.40738 | − | 13.6530i | −0.118460 | − | 0.671818i | ||||
\(414\) | 1.45416 | − | 8.24696i | 0.0714681 | − | 0.405316i | ||||
\(415\) | 35.0796 | + | 12.7679i | 1.72199 | + | 0.626752i | ||||
\(416\) | 4.86023 | − | 4.07822i | 0.238292 | − | 0.199951i | ||||
\(417\) | 25.5043 | 1.24895 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.5042 | −0.903989 | −0.451995 | − | 0.892021i | \(-0.649287\pi\) | ||||
−0.451995 | + | 0.892021i | \(0.649287\pi\) | |||||||
\(420\) | 13.2653 | − | 11.1309i | 0.647282 | − | 0.543134i | ||||
\(421\) | −15.2226 | − | 5.54059i | −0.741907 | − | 0.270032i | −0.0567106 | − | 0.998391i | \(-0.518061\pi\) |
−0.685196 | + | 0.728359i | \(0.740283\pi\) | |||||||
\(422\) | 1.40938 | − | 7.99299i | 0.0686075 | − | 0.389093i | ||||
\(423\) | 0.433875 | + | 2.46063i | 0.0210957 | + | 0.119640i | ||||
\(424\) | 1.38160 | − | 0.502862i | 0.0670966 | − | 0.0244212i | ||||
\(425\) | −2.60851 | + | 4.51807i | −0.126531 | + | 0.219159i | ||||
\(426\) | 8.81671 | + | 15.2710i | 0.427171 | + | 0.739882i | ||||
\(427\) | −19.9811 | − | 16.7661i | −0.966954 | − | 0.811371i | ||||
\(428\) | 2.16675 | + | 1.81812i | 0.104734 | + | 0.0878820i | ||||
\(429\) | −13.4192 | − | 23.2428i | −0.647887 | − | 1.12217i | ||||
\(430\) | −3.53118 | + | 6.11619i | −0.170289 | + | 0.294949i | ||||
\(431\) | 11.9338 | − | 4.34354i | 0.574830 | − | 0.209221i | −0.0382143 | − | 0.999270i | \(-0.512167\pi\) |
0.613044 | + | 0.790049i | \(0.289945\pi\) | |||||||
\(432\) | 0.153666 | + | 0.871483i | 0.00739326 | + | 0.0419292i | ||||
\(433\) | −2.47189 | + | 14.0188i | −0.118791 | + | 0.673699i | 0.866012 | + | 0.500024i | \(0.166675\pi\) |
−0.984803 | + | 0.173675i | \(0.944436\pi\) | |||||||
\(434\) | 19.1217 | + | 6.95971i | 0.917869 | + | 0.334077i | ||||
\(435\) | 28.1669 | − | 23.6348i | 1.35050 | − | 1.13320i | ||||
\(436\) | −1.72539 | −0.0826312 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 15.5901 | 0.744924 | ||||||||
\(439\) | −21.5948 | + | 18.1202i | −1.03066 | + | 0.864830i | −0.990930 | − | 0.134380i | \(-0.957096\pi\) |
−0.0397343 | + | 0.999210i | \(0.512651\pi\) | |||||||
\(440\) | 3.87961 | + | 1.41206i | 0.184953 | + | 0.0673175i | ||||
\(441\) | 0.467995 | − | 2.65413i | 0.0222855 | − | 0.126387i | ||||
\(442\) | 5.47466 | + | 31.0483i | 0.260403 | + | 1.47682i | ||||
\(443\) | 31.0046 | − | 11.2847i | 1.47307 | − | 0.536154i | 0.524138 | − | 0.851633i | \(-0.324387\pi\) |
0.948933 | + | 0.315479i | \(0.102165\pi\) | |||||||
\(444\) | 0.694265 | − | 1.20250i | 0.0329484 | − | 0.0570683i | ||||
\(445\) | −8.49196 | − | 14.7085i | −0.402558 | − | 0.697250i | ||||
\(446\) | 8.23806 | + | 6.91255i | 0.390083 | + | 0.327319i | ||||
\(447\) | 18.1442 | + | 15.2248i | 0.858193 | + | 0.720110i | ||||
\(448\) | 1.39680 | + | 2.41933i | 0.0659927 | + | 0.114303i | ||||
\(449\) | −8.59876 | + | 14.8935i | −0.405801 | + | 0.702867i | −0.994414 | − | 0.105547i | \(-0.966341\pi\) |
0.588614 | + | 0.808415i | \(0.299674\pi\) | |||||||
\(450\) | 3.30610 | − | 1.20332i | 0.155851 | − | 0.0567252i | ||||
\(451\) | −0.759993 | − | 4.31013i | −0.0357867 | − | 0.202956i | ||||
\(452\) | 0.0742841 | − | 0.421286i | 0.00349403 | − | 0.0198156i | ||||
\(453\) | −24.3050 | − | 8.84630i | −1.14195 | − | 0.415636i | ||||
\(454\) | 20.7549 | − | 17.4154i | 0.974076 | − | 0.817347i | ||||
\(455\) | −43.5954 | −2.04378 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −31.1517 | −1.45722 | −0.728608 | − | 0.684931i | \(-0.759832\pi\) | ||||
−0.728608 | + | 0.684931i | \(0.759832\pi\) | |||||||
\(458\) | −7.25105 | + | 6.08435i | −0.338819 | + | 0.284303i | ||||
\(459\) | −4.13216 | − | 1.50398i | −0.192873 | − | 0.0702000i | ||||
\(460\) | 1.06732 | − | 6.05305i | 0.0497639 | − | 0.282225i | ||||
\(461\) | 2.69867 | + | 15.3049i | 0.125689 | + | 0.712820i | 0.980896 | + | 0.194533i | \(0.0623190\pi\) |
−0.855207 | + | 0.518287i | \(0.826570\pi\) | |||||||
\(462\) | 11.1047 | − | 4.04177i | 0.516637 | − | 0.188040i | ||||
\(463\) | −10.3324 | + | 17.8962i | −0.480187 | + | 0.831708i | −0.999742 | − | 0.0227291i | \(-0.992764\pi\) |
0.519555 | + | 0.854437i | \(0.326098\pi\) | |||||||
\(464\) | 2.96589 | + | 5.13708i | 0.137688 | + | 0.238483i | ||||
\(465\) | 34.5882 | + | 29.0229i | 1.60399 | + | 1.34591i | ||||
\(466\) | −17.5134 | − | 14.6955i | −0.811292 | − | 0.680755i | ||||
\(467\) | 14.2415 | + | 24.6670i | 0.659017 | + | 1.14145i | 0.980870 | + | 0.194662i | \(0.0623609\pi\) |
−0.321853 | + | 0.946790i | \(0.604306\pi\) | |||||||
\(468\) | 10.6308 | − | 18.4131i | 0.491408 | − | 0.851144i | ||||
\(469\) | −30.3477 | + | 11.0456i | −1.40132 | + | 0.510040i | ||||
\(470\) | 0.318453 | + | 1.80604i | 0.0146891 | + | 0.0833063i | ||||
\(471\) | 1.30142 | − | 7.38074i | 0.0599664 | − | 0.340087i | ||||
\(472\) | 4.66333 | + | 1.69731i | 0.214647 | + | 0.0781252i | ||||
\(473\) | −3.69199 | + | 3.09795i | −0.169758 | + | 0.142444i | ||||
\(474\) | −14.8981 | −0.684290 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −13.8819 | −0.636276 | ||||||||
\(477\) | 3.77437 | − | 3.16707i | 0.172816 | − | 0.145010i | ||||
\(478\) | 8.14348 | + | 2.96399i | 0.372474 | + | 0.135570i | ||||
\(479\) | −1.81856 | + | 10.3135i | −0.0830919 | + | 0.471238i | 0.914660 | + | 0.404224i | \(0.132458\pi\) |
−0.997752 | + | 0.0670140i | \(0.978653\pi\) | |||||||
\(480\) | 1.07639 | + | 6.10451i | 0.0491302 | + | 0.278631i | ||||
\(481\) | −3.28487 | + | 1.19559i | −0.149777 | + | 0.0545144i | ||||
\(482\) | −2.82913 | + | 4.90020i | −0.128863 | + | 0.223198i | ||||
\(483\) | −8.79651 | − | 15.2360i | −0.400255 | − | 0.693262i | ||||
\(484\) | −6.26818 | − | 5.25963i | −0.284917 | − | 0.239074i | ||||
\(485\) | 27.1087 | + | 22.7469i | 1.23094 | + | 1.03288i | ||||
\(486\) | −11.1853 | − | 19.3735i | −0.507375 | − | 0.878800i | ||||
\(487\) | 1.14947 | − | 1.99094i | 0.0520875 | − | 0.0902181i | −0.838806 | − | 0.544430i | \(-0.816746\pi\) |
0.890894 | + | 0.454212i | \(0.150079\pi\) | |||||||
\(488\) | 8.77378 | − | 3.19339i | 0.397170 | − | 0.144558i | ||||
\(489\) | 2.44713 | + | 13.8783i | 0.110663 | + | 0.627600i | ||||
\(490\) | 0.343496 | − | 1.94806i | 0.0155176 | − | 0.0880045i | ||||
\(491\) | −11.4278 | − | 4.15937i | −0.515728 | − | 0.187710i | 0.0710267 | − | 0.997474i | \(-0.477372\pi\) |
−0.586755 | + | 0.809765i | \(0.699595\pi\) | |||||||
\(492\) | 5.03373 | − | 4.22380i | 0.226938 | − | 0.190424i | ||||
\(493\) | −29.4761 | −1.32754 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 13.8355 | 0.621860 | ||||||||
\(496\) | −5.57993 | + | 4.68212i | −0.250546 | + | 0.210233i | ||||
\(497\) | 18.3680 | + | 6.68540i | 0.823917 | + | 0.299881i | ||||
\(498\) | −6.64188 | + | 37.6680i | −0.297630 | + | 1.68794i | ||||
\(499\) | 2.62814 | + | 14.9049i | 0.117652 | + | 0.667235i | 0.985403 | + | 0.170237i | \(0.0544533\pi\) |
−0.867752 | + | 0.496998i | \(0.834436\pi\) | |||||||
\(500\) | −9.12998 | + | 3.32304i | −0.408305 | + | 0.148611i | ||||
\(501\) | −8.92586 | + | 15.4600i | −0.398778 | + | 0.690704i | ||||
\(502\) | −6.77762 | − | 11.7392i | −0.302500 | − | 0.523945i | ||||
\(503\) | −0.439467 | − | 0.368756i | −0.0195948 | − | 0.0164420i | 0.632938 | − | 0.774203i | \(-0.281849\pi\) |
−0.652532 | + | 0.757761i | \(0.726293\pi\) | |||||||
\(504\) | 7.17153 | + | 6.01762i | 0.319445 | + | 0.268046i | ||||
\(505\) | 13.8760 | + | 24.0340i | 0.617475 | + | 1.06950i | ||||
\(506\) | 2.09724 | − | 3.63253i | 0.0932339 | − | 0.161486i | ||||
\(507\) | −64.5411 | + | 23.4910i | −2.86637 | + | 1.04327i | ||||
\(508\) | 0.197319 | + | 1.11905i | 0.00875463 | + | 0.0496499i | ||||
\(509\) | 4.55241 | − | 25.8180i | 0.201782 | − | 1.14436i | −0.700642 | − | 0.713513i | \(-0.747103\pi\) |
0.902424 | − | 0.430849i | \(-0.141786\pi\) | |||||||
\(510\) | −28.9447 | − | 10.5350i | −1.28169 | − | 0.466498i | ||||
\(511\) | 13.2386 | − | 11.1085i | 0.585641 | − | 0.491412i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.0393 | 0.442813 | ||||||||
\(515\) | 27.9389 | − | 23.4435i | 1.23113 | − | 1.03304i | ||||
\(516\) | −6.79968 | − | 2.47488i | −0.299339 | − | 0.108951i | ||||
\(517\) | −0.217321 | + | 1.23249i | −0.00955777 | + | 0.0542048i | ||||
\(518\) | −0.267279 | − | 1.51581i | −0.0117436 | − | 0.0666010i | ||||
\(519\) | −54.5170 | + | 19.8426i | −2.39303 | + | 0.870992i | ||||
\(520\) | 7.80272 | − | 13.5147i | 0.342172 | − | 0.592659i | ||||
\(521\) | −6.48183 | − | 11.2269i | −0.283974 | − | 0.491857i | 0.688386 | − | 0.725345i | \(-0.258320\pi\) |
−0.972360 | + | 0.233487i | \(0.924986\pi\) | |||||||
\(522\) | 15.2276 | + | 12.7775i | 0.666495 | + | 0.559256i | ||||
\(523\) | −13.6197 | − | 11.4283i | −0.595548 | − | 0.499724i | 0.294463 | − | 0.955663i | \(-0.404859\pi\) |
−0.890011 | + | 0.455939i | \(0.849304\pi\) | |||||||
\(524\) | 8.92075 | + | 15.4512i | 0.389705 | + | 0.674989i | ||||
\(525\) | 3.69572 | − | 6.40117i | 0.161294 | − | 0.279370i | ||||
\(526\) | −17.6908 | + | 6.43893i | −0.771357 | + | 0.280751i | ||||
\(527\) | −6.28535 | − | 35.6460i | −0.273794 | − | 1.55276i | ||||
\(528\) | −0.734557 | + | 4.16588i | −0.0319675 | + | 0.181297i | ||||
\(529\) | 15.7450 | + | 5.73071i | 0.684565 | + | 0.249161i | ||||
\(530\) | 2.77029 | − | 2.32455i | 0.120334 | − | 0.100972i | ||||
\(531\) | 16.6304 | 0.721698 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16.5429 | −0.716554 | ||||||||
\(534\) | 13.3304 | − | 11.1856i | 0.576865 | − | 0.484047i | ||||
\(535\) | 6.53752 | + | 2.37946i | 0.282642 | + | 0.102873i | ||||
\(536\) | 2.00745 | − | 11.3848i | 0.0867086 | − | 0.491749i | ||||
\(537\) | −3.59491 | − | 20.3878i | −0.155132 | − | 0.879797i | ||||
\(538\) | 15.3947 | − | 5.60321i | 0.663712 | − | 0.241571i | ||||
\(539\) | 0.674959 | − | 1.16906i | 0.0290726 | − | 0.0503551i | ||||
\(540\) | 1.08831 | + | 1.88500i | 0.0468332 | + | 0.0811175i | ||||
\(541\) | −4.09388 | − | 3.43517i | −0.176010 | − | 0.147690i | 0.550527 | − | 0.834817i | \(-0.314427\pi\) |
−0.726537 | + | 0.687128i | \(0.758871\pi\) | |||||||
\(542\) | 2.11952 | + | 1.77849i | 0.0910412 | + | 0.0763926i | ||||
\(543\) | −16.3808 | − | 28.3724i | −0.702968 | − | 1.21758i | ||||
\(544\) | 2.48459 | − | 4.30343i | 0.106526 | − | 0.184508i | ||||
\(545\) | −3.98792 | + | 1.45148i | −0.170824 | + | 0.0621747i | ||||
\(546\) | −7.75646 | − | 43.9891i | −0.331946 | − | 1.88256i | ||||
\(547\) | −0.885800 | + | 5.02362i | −0.0378741 | + | 0.214795i | −0.997871 | − | 0.0652152i | \(-0.979227\pi\) |
0.959997 | + | 0.280010i | \(0.0903377\pi\) | |||||||
\(548\) | 14.9558 | + | 5.44347i | 0.638880 | + | 0.232533i | ||||
\(549\) | 23.9689 | − | 20.1123i | 1.02297 | − | 0.858371i | ||||
\(550\) | 1.76225 | 0.0751426 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.29761 | 0.268044 | ||||||||
\(553\) | −12.6509 | + | 10.6154i | −0.537972 | + | 0.451412i | ||||
\(554\) | 23.0527 | + | 8.39048i | 0.979413 | + | 0.356477i | ||||
\(555\) | 0.593060 | − | 3.36341i | 0.0251740 | − | 0.142769i | ||||
\(556\) | 1.75735 | + | 9.96642i | 0.0745282 | + | 0.422670i | ||||
\(557\) | 10.0768 | − | 3.66766i | 0.426968 | − | 0.155404i | −0.119593 | − | 0.992823i | \(-0.538159\pi\) |
0.546561 | + | 0.837419i | \(0.315937\pi\) | |||||||
\(558\) | −12.2050 | + | 21.1397i | −0.516678 | + | 0.894913i | ||||
\(559\) | 9.10855 | + | 15.7765i | 0.385251 | + | 0.667274i | ||||
\(560\) | 5.26371 | + | 4.41678i | 0.222432 | + | 0.186643i | ||||
\(561\) | −16.1025 | − | 13.5116i | −0.679849 | − | 0.570461i | ||||
\(562\) | −5.08518 | − | 8.80779i | −0.214505 | − | 0.371534i | ||||
\(563\) | 4.88142 | − | 8.45488i | 0.205728 | − | 0.356331i | −0.744637 | − | 0.667470i | \(-0.767377\pi\) |
0.950364 | + | 0.311139i | \(0.100711\pi\) | |||||||
\(564\) | −1.76569 | + | 0.642658i | −0.0743488 | + | 0.0270608i | ||||
\(565\) | −0.182713 | − | 1.03622i | −0.00768678 | − | 0.0435939i | ||||
\(566\) | −4.80446 | + | 27.2475i | −0.201947 | + | 1.14530i | ||||
\(567\) | −20.5371 | − | 7.47490i | −0.862478 | − | 0.313916i | ||||
\(568\) | −5.36000 | + | 4.49757i | −0.224901 | + | 0.188714i | ||||
\(569\) | 8.84194 | 0.370674 | 0.185337 | − | 0.982675i | \(-0.440662\pi\) | ||||
0.185337 | + | 0.982675i | \(0.440662\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.8411 | 0.955871 | 0.477935 | − | 0.878395i | \(-0.341385\pi\) | ||||
0.477935 | + | 0.878395i | \(0.341385\pi\) | |||||||
\(572\) | 8.15804 | − | 6.84541i | 0.341105 | − | 0.286221i | ||||
\(573\) | −15.5702 | − | 5.66708i | −0.650454 | − | 0.236746i | ||||
\(574\) | 1.26487 | − | 7.17342i | 0.0527945 | − | 0.299413i | ||||
\(575\) | −0.455573 | − | 2.58368i | −0.0189987 | − | 0.107747i | ||||
\(576\) | −3.14904 | + | 1.14616i | −0.131210 | + | 0.0477566i | ||||
\(577\) | 7.00879 | − | 12.1396i | 0.291780 | − | 0.505377i | −0.682451 | − | 0.730931i | \(-0.739086\pi\) |
0.974231 | + | 0.225554i | \(0.0724192\pi\) | |||||||
\(578\) | 3.84635 | + | 6.66207i | 0.159987 | + | 0.277106i | ||||
\(579\) | −51.8981 | − | 43.5477i | −2.15681 | − | 1.80978i | ||||
\(580\) | 11.1767 | + | 9.37834i | 0.464086 | + | 0.389415i | ||||
\(581\) | 21.1997 | + | 36.7190i | 0.879513 | + | 1.52336i | ||||
\(582\) | −18.1292 | + | 31.4006i | −0.751478 | + | 1.30160i | ||||
\(583\) | 2.31906 | − | 0.844070i | 0.0960458 | − | 0.0349578i | ||||
\(584\) | 1.07422 | + | 6.09221i | 0.0444516 | + | 0.252097i | ||||
\(585\) | 9.08111 | − | 51.5015i | 0.375458 | − | 2.12933i | ||||
\(586\) | −22.4010 | − | 8.15328i | −0.925375 | − | 0.336809i | ||||
\(587\) | 16.1142 | − | 13.5214i | 0.665104 | − | 0.558089i | −0.246508 | − | 0.969141i | \(-0.579283\pi\) |
0.911612 | + | 0.411052i | \(0.134839\pi\) | |||||||
\(588\) | 2.02677 | 0.0835825 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 12.2063 | 0.502525 | ||||||||
\(591\) | −19.0147 | + | 15.9552i | −0.782161 | + | 0.656311i | ||||
\(592\) | 0.517744 | + | 0.188444i | 0.0212792 | + | 0.00774498i | ||||
\(593\) | −6.06367 | + | 34.3888i | −0.249005 | + | 1.41218i | 0.562000 | + | 0.827137i | \(0.310032\pi\) |
−0.811005 | + | 0.585040i | \(0.801079\pi\) | |||||||
\(594\) | 0.257933 | + | 1.46281i | 0.0105831 | + | 0.0600199i | ||||
\(595\) | −32.0855 | + | 11.6782i | −1.31538 | + | 0.478758i | ||||
\(596\) | −4.69925 | + | 8.13935i | −0.192489 | + | 0.333401i | ||||
\(597\) | 25.7888 | + | 44.6675i | 1.05546 | + | 1.82812i | ||||
\(598\) | −12.1452 | − | 10.1911i | −0.496656 | − | 0.416744i | ||||
\(599\) | −16.4781 | − | 13.8268i | −0.673277 | − | 0.564946i | 0.240756 | − | 0.970586i | \(-0.422605\pi\) |
−0.914033 | + | 0.405639i | \(0.867049\pi\) | |||||||
\(600\) | 1.32292 | + | 2.29137i | 0.0540080 | + | 0.0935446i | ||||
\(601\) | −7.17087 | + | 12.4203i | −0.292506 | + | 0.506635i | −0.974402 | − | 0.224814i | \(-0.927822\pi\) |
0.681896 | + | 0.731449i | \(0.261156\pi\) | |||||||
\(602\) | −7.53750 | + | 2.74343i | −0.307206 | + | 0.111814i | ||||
\(603\) | −6.72725 | − | 38.1521i | −0.273955 | − | 1.55367i | ||||
\(604\) | 1.78219 | − | 10.1073i | 0.0725164 | − | 0.411261i | ||||
\(605\) | −18.9124 | − | 6.88355i | −0.768899 | − | 0.279856i | ||||
\(606\) | −21.7822 | + | 18.2774i | −0.884841 | + | 0.742470i | ||||
\(607\) | 10.3488 | 0.420046 | 0.210023 | − | 0.977696i | \(-0.432646\pi\) | ||||
0.210023 | + | 0.977696i | \(0.432646\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 41.7615 | 1.69226 | ||||||||
\(610\) | 17.5925 | − | 14.7619i | 0.712300 | − | 0.597691i | ||||
\(611\) | 4.44519 | + | 1.61792i | 0.179833 | + | 0.0654539i | ||||
\(612\) | 2.89166 | − | 16.3994i | 0.116888 | − | 0.662907i | ||||
\(613\) | 3.39784 | + | 19.2701i | 0.137238 | + | 0.778313i | 0.973275 | + | 0.229641i | \(0.0737553\pi\) |
−0.836038 | + | 0.548672i | \(0.815134\pi\) | |||||||
\(614\) | −24.4211 | + | 8.88857i | −0.985557 | + | 0.358713i | ||||
\(615\) | 8.08126 | − | 13.9971i | 0.325868 | − | 0.564419i | ||||
\(616\) | 2.34458 | + | 4.06093i | 0.0944657 | + | 0.163619i | ||||
\(617\) | −4.53898 | − | 3.80866i | −0.182733 | − | 0.153331i | 0.546833 | − | 0.837242i | \(-0.315833\pi\) |
−0.729566 | + | 0.683911i | \(0.760278\pi\) | |||||||
\(618\) | 28.6261 | + | 24.0201i | 1.15151 | + | 0.966231i | ||||
\(619\) | −4.01979 | − | 6.96248i | −0.161569 | − | 0.279846i | 0.773863 | − | 0.633354i | \(-0.218322\pi\) |
−0.935432 | + | 0.353508i | \(0.884989\pi\) | |||||||
\(620\) | −8.95814 | + | 15.5160i | −0.359768 | + | 0.623136i | ||||
\(621\) | 2.07799 | − | 0.756325i | 0.0833867 | − | 0.0303503i | ||||
\(622\) | 4.01203 | + | 22.7533i | 0.160868 | + | 0.912325i | ||||
\(623\) | 3.34965 | − | 18.9968i | 0.134201 | − | 0.761092i | ||||
\(624\) | 15.0250 | + | 5.46865i | 0.601481 | + | 0.218921i | ||||
\(625\) | −22.3280 | + | 18.7354i | −0.893120 | + | 0.749417i | ||||
\(626\) | −12.2647 | −0.490196 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.97387 | 0.118671 | ||||||||
\(629\) | −2.09734 | + | 1.75987i | −0.0836262 | + | 0.0701707i | ||||
\(630\) | 21.6380 | + | 7.87558i | 0.862078 | + | 0.313771i | ||||
\(631\) | −2.24017 | + | 12.7047i | −0.0891799 | + | 0.505764i | 0.907196 | + | 0.420708i | \(0.138218\pi\) |
−0.996376 | + | 0.0850566i | \(0.972893\pi\) | |||||||
\(632\) | −1.02654 | − | 5.82177i | −0.0408334 | − | 0.231578i | ||||
\(633\) | 19.2207 | − | 6.99577i | 0.763955 | − | 0.278057i | ||||
\(634\) | 0.136152 | − | 0.235823i | 0.00540731 | − | 0.00936573i | ||||
\(635\) | 1.39747 | + | 2.42049i | 0.0554569 | + | 0.0960542i | ||||
\(636\) | 2.83842 | + | 2.38172i | 0.112551 | + | 0.0944414i | ||||
\(637\) | −3.90872 | − | 3.27981i | −0.154869 | − | 0.129951i | ||||
\(638\) | 4.97834 | + | 8.62275i | 0.197095 | + | 0.341378i | ||||
\(639\) | −11.7239 | + | 20.3065i | −0.463792 | + | 0.803311i | ||||
\(640\) | −2.31131 | + | 0.841250i | −0.0913627 | + | 0.0332533i | ||||
\(641\) | 5.01216 | + | 28.4254i | 0.197969 | + | 1.12274i | 0.908127 | + | 0.418694i | \(0.137512\pi\) |
−0.710159 | + | 0.704041i | \(0.751377\pi\) | |||||||
\(642\) | −1.23780 | + | 7.01991i | −0.0488520 | + | 0.277054i | ||||
\(643\) | −24.7510 | − | 9.00862i | −0.976083 | − | 0.355265i | −0.195767 | − | 0.980650i | \(-0.562720\pi\) |
−0.780316 | + | 0.625385i | \(0.784942\pi\) | |||||||
\(644\) | 5.34772 | − | 4.48727i | 0.210730 | − | 0.176823i | ||||
\(645\) | −17.7982 | −0.700803 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.04601 | −0.119751 | −0.0598756 | − | 0.998206i | \(-0.519070\pi\) | ||||
−0.0598756 | + | 0.998206i | \(0.519070\pi\) | |||||||
\(648\) | 5.99298 | − | 5.02871i | 0.235426 | − | 0.197546i | ||||
\(649\) | 7.82754 | + | 2.84899i | 0.307258 | + | 0.111833i | ||||
\(650\) | 1.15667 | − | 6.55982i | 0.0453685 | − | 0.257297i | ||||
\(651\) | 8.90504 | + | 50.5030i | 0.349016 | + | 1.97937i | ||||
\(652\) | −5.25468 | + | 1.91255i | −0.205789 | + | 0.0749011i | ||||
\(653\) | 7.59866 | − | 13.1613i | 0.297359 | − | 0.515040i | −0.678172 | − | 0.734903i | \(-0.737228\pi\) |
0.975531 | + | 0.219863i | \(0.0705610\pi\) | |||||||
\(654\) | −2.17412 | − | 3.76568i | −0.0850148 | − | 0.147250i | ||||
\(655\) | 33.6170 | + | 28.2080i | 1.31352 | + | 1.10218i | ||||
\(656\) | 1.99739 | + | 1.67601i | 0.0779851 | + | 0.0654373i | ||||
\(657\) | 10.3654 | + | 17.9534i | 0.404393 | + | 0.700429i | ||||
\(658\) | −1.04145 | + | 1.80384i | −0.0405998 | + | 0.0703209i | ||||
\(659\) | 16.7961 | − | 6.11330i | 0.654285 | − | 0.238140i | 0.00651784 | − | 0.999979i | \(-0.497925\pi\) |
0.647767 | + | 0.761839i | \(0.275703\pi\) | |||||||
\(660\) | 1.80675 | + | 10.2466i | 0.0703278 | + | 0.398849i | ||||
\(661\) | −6.57302 | + | 37.2775i | −0.255661 | + | 1.44993i | 0.538710 | + | 0.842492i | \(0.318912\pi\) |
−0.794371 | + | 0.607434i | \(0.792199\pi\) | |||||||
\(662\) | 18.7873 | + | 6.83801i | 0.730188 | + | 0.265767i | ||||
\(663\) | −60.8649 | + | 51.0717i | −2.36380 | + | 1.98346i | ||||
\(664\) | −15.1773 | −0.588994 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.84638 | 0.0715460 | ||||||||
\(667\) | 11.3550 | − | 9.52802i | 0.439669 | − | 0.368926i | ||||
\(668\) | −6.65641 | − | 2.42274i | −0.257544 | − | 0.0937385i | ||||
\(669\) | −4.70616 | + | 26.6900i | −0.181951 | + | 1.03189i | ||||
\(670\) | −4.93762 | − | 28.0026i | −0.190757 | − | 1.08184i | ||||
\(671\) | 14.7271 | − | 5.36021i | 0.568532 | − | 0.206929i | ||||
\(672\) | −3.52015 | + | 6.09707i | −0.135793 | + | 0.235200i | ||||
\(673\) | −4.14230 | − | 7.17468i | −0.159674 | − | 0.276564i | 0.775077 | − | 0.631867i | \(-0.217711\pi\) |
−0.934751 | + | 0.355303i | \(0.884378\pi\) | |||||||
\(674\) | −13.2391 | − | 11.1089i | −0.509951 | − | 0.427900i | ||||
\(675\) | 0.711704 | + | 0.597191i | 0.0273935 | + | 0.0229859i | ||||
\(676\) | −13.6268 | − | 23.6024i | −0.524109 | − | 0.907783i | ||||
\(677\) | −9.16167 | + | 15.8685i | −0.352111 | + | 0.609875i | −0.986619 | − | 0.163042i | \(-0.947870\pi\) |
0.634508 | + | 0.772917i | \(0.281203\pi\) | |||||||
\(678\) | 1.01306 | − | 0.368725i | 0.0389065 | − | 0.0141608i | ||||
\(679\) | 6.97938 | + | 39.5820i | 0.267844 | + | 1.51902i | ||||
\(680\) | 2.12240 | − | 12.0367i | 0.0813904 | − | 0.461588i | ||||
\(681\) | 64.1621 | + | 23.3531i | 2.45870 | + | 0.894892i | ||||
\(682\) | −9.36609 | + | 7.85908i | −0.358646 | + | 0.300940i | ||||
\(683\) | 49.2217 | 1.88342 | 0.941709 | − | 0.336429i | \(-0.109219\pi\) | ||||
0.941709 | + | 0.336429i | \(0.109219\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 39.1469 | 1.49573 | ||||||||
\(686\) | −13.2591 | + | 11.1257i | −0.506235 | + | 0.424782i | ||||
\(687\) | −22.4160 | − | 8.15876i | −0.855225 | − | 0.311276i | ||||
\(688\) | 0.498594 | − | 2.82767i | 0.0190087 | − | 0.107804i | ||||
\(689\) | −1.61983 | − | 9.18653i | −0.0617107 | − | 0.349979i | ||||
\(690\) | 14.5557 | − | 5.29786i | 0.554128 | − | 0.201686i | ||||
\(691\) | −8.33895 | + | 14.4435i | −0.317229 | + | 0.549456i | −0.979909 | − | 0.199446i | \(-0.936086\pi\) |
0.662680 | + | 0.748903i | \(0.269419\pi\) | |||||||
\(692\) | −11.5104 | − | 19.9366i | −0.437560 | − | 0.757876i | ||||
\(693\) | 12.0376 | + | 10.1008i | 0.457272 | + | 0.383697i | ||||
\(694\) | 14.2067 | + | 11.9209i | 0.539280 | + | 0.452510i | ||||
\(695\) | 12.4460 | + | 21.5572i | 0.472105 | + | 0.817710i | ||||
\(696\) | −7.47449 | + | 12.9462i | −0.283320 | + | 0.490724i | ||||
\(697\) | −12.1753 | + | 4.43145i | −0.461173 | + | 0.167853i | ||||
\(698\) | 3.49398 | + | 19.8153i | 0.132249 | + | 0.750021i | ||||
\(699\) | 10.0049 | − | 56.7405i | 0.378420 | − | 2.14612i | ||||
\(700\) | 2.75606 | + | 1.00312i | 0.104169 | + | 0.0379145i | ||||
\(701\) | −23.6758 | + | 19.8664i | −0.894223 | + | 0.750342i | −0.969053 | − | 0.246854i | \(-0.920603\pi\) |
0.0748294 | + | 0.997196i | \(0.476159\pi\) | |||||||
\(702\) | 5.61449 | 0.211905 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.67853 | −0.0632620 | ||||||||
\(705\) | −3.54042 | + | 2.97077i | −0.133340 | + | 0.111886i | ||||
\(706\) | 22.6049 | + | 8.22753i | 0.850749 | + | 0.309647i | ||||
\(707\) | −5.47340 | + | 31.0412i | −0.205848 | + | 1.16742i | ||||
\(708\) | 2.17173 | + | 12.3165i | 0.0816187 | + | 0.462883i | ||||
\(709\) | −37.6869 | + | 13.7169i | −1.41536 | + | 0.515150i | −0.932699 | − | 0.360656i | \(-0.882553\pi\) |
−0.482663 | + | 0.875806i | \(0.660330\pi\) | |||||||
\(710\) | −8.60506 | + | 14.9044i | −0.322942 | + | 0.559352i | ||||
\(711\) | −9.90527 | − | 17.1564i | −0.371477 | − | 0.643417i | ||||
\(712\) | 5.28955 | + | 4.43846i | 0.198234 | + | 0.166338i | ||||
\(713\) | 13.9437 | + | 11.7002i | 0.522196 | + | 0.438174i | ||||
\(714\) | −17.4922 | − | 30.2974i | −0.654630 | − | 1.13385i | ||||
\(715\) | 13.0971 | − | 22.6849i | 0.489804 | − | 0.848365i | ||||
\(716\) | 7.71930 | − | 2.80960i | 0.288484 | − | 0.105000i | ||||
\(717\) | 3.79246 | + | 21.5081i | 0.141632 | + | 0.803234i | ||||
\(718\) | 1.88468 | − | 10.6886i | 0.0703358 | − | 0.398894i | ||||
\(719\) | 42.8997 | + | 15.6142i | 1.59989 | + | 0.582311i | 0.979404 | − | 0.201908i | \(-0.0647143\pi\) |
0.620483 | + | 0.784220i | \(0.286937\pi\) | |||||||
\(720\) | −6.31422 | + | 5.29826i | −0.235317 | + | 0.197455i | ||||
\(721\) | 41.4235 | 1.54269 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −14.2596 | −0.530322 | ||||||||
\(724\) | 9.95849 | − | 8.35617i | 0.370104 | − | 0.310554i | ||||
\(725\) | 5.85207 | + | 2.12998i | 0.217340 | + | 0.0791054i | ||||
\(726\) | 3.58083 | − | 20.3079i | 0.132897 | − | 0.753697i | ||||
\(727\) | −2.63616 | − | 14.9504i | −0.0977698 | − | 0.554480i | −0.993863 | − | 0.110615i | \(-0.964718\pi\) |
0.896093 | − | 0.443865i | \(-0.146393\pi\) | |||||||
\(728\) | 16.6553 | − | 6.06205i | 0.617288 | − | 0.224674i | ||||
\(729\) | 16.4537 | − | 28.4986i | 0.609395 | − | 1.05550i | ||||
\(730\) | 7.60793 | + | 13.1773i | 0.281582 | + | 0.487715i | ||||
\(731\) | 10.9299 | + | 9.17125i | 0.404256 | + | 0.339211i | ||||
\(732\) | 18.0252 | + | 15.1250i | 0.666231 | + | 0.559035i | ||||
\(733\) | 13.4993 | + | 23.3815i | 0.498608 | + | 0.863615i | 0.999999 | − | 0.00160611i | \(-0.000511240\pi\) |
−0.501390 | + | 0.865221i | \(0.667178\pi\) | |||||||
\(734\) | −16.3060 | + | 28.2429i | −0.601867 | + | 1.04246i | ||||
\(735\) | 4.68450 | − | 1.70502i | 0.172790 | − | 0.0628905i | ||||
\(736\) | 0.433930 | + | 2.46094i | 0.0159949 | + | 0.0907114i | ||||
\(737\) | 3.36957 | − | 19.1098i | 0.124120 | − | 0.703917i | ||||
\(738\) | 8.21085 | + | 2.98851i | 0.302246 | + | 0.110008i | ||||
\(739\) | −3.98942 | + | 3.34752i | −0.146753 | + | 0.123141i | −0.713209 | − | 0.700952i | \(-0.752759\pi\) |
0.566455 | + | 0.824092i | \(0.308314\pi\) | |||||||
\(740\) | 1.35520 | 0.0498181 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.10736 | 0.150786 | ||||||||
\(743\) | −16.9356 | + | 14.2107i | −0.621307 | + | 0.521339i | −0.898214 | − | 0.439558i | \(-0.855135\pi\) |
0.276907 | + | 0.960897i | \(0.410691\pi\) | |||||||
\(744\) | −17.2499 | − | 6.27845i | −0.632412 | − | 0.230179i | ||||
\(745\) | −4.01423 | + | 22.7658i | −0.147070 | + | 0.834076i | ||||
\(746\) | −0.920679 | − | 5.22143i | −0.0337084 | − | 0.191170i | ||||
\(747\) | −47.7940 | + | 17.3956i | −1.74869 | + | 0.636472i | ||||
\(748\) | 4.17046 | − | 7.22345i | 0.152487 | − | 0.264115i | ||||
\(749\) | 3.95084 | + | 6.84305i | 0.144360 | + | 0.250040i | ||||
\(750\) | −18.7570 | − | 15.7390i | −0.684909 | − | 0.574707i | ||||
\(751\) | 9.57247 | + | 8.03225i | 0.349304 | + | 0.293101i | 0.800511 | − | 0.599319i | \(-0.204562\pi\) |
−0.451206 | + | 0.892420i | \(0.649006\pi\) | |||||||
\(752\) | −0.372797 | − | 0.645703i | −0.0135945 | − | 0.0235464i | ||||
\(753\) | 17.0806 | − | 29.5844i | 0.622451 | − | 1.07812i | ||||
\(754\) | 35.3650 | − | 12.8718i | 1.28792 | − | 0.468764i | ||||
\(755\) | −4.38357 | − | 24.8604i | −0.159534 | − | 0.904764i | ||||
\(756\) | −0.429282 | + | 2.43458i | −0.0156128 | + | 0.0885448i | ||||
\(757\) | 29.1294 | + | 10.6022i | 1.05873 | + | 0.385345i | 0.811949 | − | 0.583728i | \(-0.198407\pi\) |
0.246776 | + | 0.969072i | \(0.420629\pi\) | |||||||
\(758\) | 18.8949 | − | 15.8547i | 0.686295 | − | 0.575870i | ||||
\(759\) | 10.5707 | 0.383693 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.96398 | 0.0711941 | 0.0355971 | − | 0.999366i | \(-0.488667\pi\) | ||||
0.0355971 | + | 0.999366i | \(0.488667\pi\) | |||||||
\(762\) | −2.19371 | + | 1.84074i | −0.0794697 | + | 0.0666830i | ||||
\(763\) | −4.52937 | − | 1.64856i | −0.163974 | − | 0.0596818i | ||||
\(764\) | 1.14170 | − | 6.47491i | 0.0413053 | − | 0.234254i | ||||
\(765\) | −7.11247 | − | 40.3368i | −0.257152 | − | 1.45838i | ||||
\(766\) | −3.42439 | + | 1.24638i | −0.123728 | + | 0.0450334i | ||||
\(767\) | 15.7428 | − | 27.2674i | 0.568441 | − | 0.984568i | ||||
\(768\) | −1.26007 | − | 2.18251i | −0.0454690 | − | 0.0787546i | ||||
\(769\) | −17.1074 | − | 14.3548i | −0.616910 | − | 0.517649i | 0.279921 | − | 0.960023i | \(-0.409692\pi\) |
−0.896830 | + | 0.442374i | \(0.854136\pi\) | |||||||
\(770\) | 8.83531 | + | 7.41370i | 0.318402 | + | 0.267171i | ||||
\(771\) | 12.6502 | + | 21.9108i | 0.455586 | + | 0.789098i | ||||
\(772\) | 13.4413 | − | 23.2810i | 0.483763 | − | 0.837903i | ||||
\(773\) | 25.7056 | − | 9.35606i | 0.924565 | − | 0.336514i | 0.164512 | − | 0.986375i | \(-0.447395\pi\) |
0.760053 | + | 0.649861i | \(0.225173\pi\) | |||||||
\(774\) | −1.67086 | − | 9.47591i | −0.0600578 | − | 0.340605i | ||||
\(775\) | −1.32795 | + | 7.53120i | −0.0477015 | + | 0.270529i | ||||
\(776\) | −13.5197 | − | 4.92077i | −0.485329 | − | 0.176645i | ||||
\(777\) | 2.97149 | − | 2.49338i | 0.106602 | − | 0.0894494i | ||||
\(778\) | −2.79353 | −0.100153 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 39.3280 | 1.40817 | ||||||||
\(781\) | −8.99693 | + | 7.54932i | −0.321935 | + | 0.270136i | ||||
\(782\) | −11.6686 | − | 4.24703i | −0.417269 | − | 0.151874i | ||||
\(783\) | −0.911513 | + | 5.16945i | −0.0325748 | + | 0.184741i | ||||
\(784\) | 0.139652 | + | 0.792008i | 0.00498759 | + | 0.0282860i | ||||
\(785\) | 6.87356 | − | 2.50177i | 0.245328 | − | 0.0892920i | ||||
\(786\) | −22.4816 | + | 38.9393i | −0.801892 | + | 1.38892i | ||||
\(787\) | 3.89481 | + | 6.74601i | 0.138835 | + | 0.240469i | 0.927056 | − | 0.374923i | \(-0.122331\pi\) |
−0.788221 | + | 0.615392i | \(0.788998\pi\) | |||||||
\(788\) | −7.54508 | − | 6.33107i | −0.268782 | − | 0.225535i | ||||
\(789\) | −36.3448 | − | 30.4969i | −1.29391 | − | 1.08572i | ||||
\(790\) | −7.27021 | − | 12.5924i | −0.258662 | − | 0.448017i | ||||
\(791\) | 0.597531 | − | 1.03495i | 0.0212457 | − | 0.0367987i | ||||
\(792\) | −5.28577 | + | 1.92386i | −0.187822 | + | 0.0683615i | ||||
\(793\) | −10.2866 | − | 58.3385i | −0.365289 | − | 2.07166i | ||||
\(794\) | 6.86086 | − | 38.9099i | 0.243483 | − | 1.38086i | ||||
\(795\) | 8.56411 | + | 3.11708i | 0.303738 | + | 0.110552i | ||||
\(796\) | −15.6779 | + | 13.1554i | −0.555690 | + | 0.466279i | ||||
\(797\) | 6.09655 | 0.215951 | 0.107975 | − | 0.994154i | \(-0.465563\pi\) | ||||
0.107975 | + | 0.994154i | \(0.465563\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.70498 | 0.131073 | ||||||||
\(800\) | −0.804252 | + | 0.674847i | −0.0284346 | + | 0.0238595i | ||||
\(801\) | 21.7442 | + | 7.91424i | 0.768293 | + | 0.279636i | ||||
\(802\) | −3.23358 | + | 18.3386i | −0.114182 | + | 0.647557i | ||||
\(803\) | 1.80311 | + | 10.2260i | 0.0636305 | + | 0.360867i | ||||
\(804\) | 27.3770 | − | 9.96442i | 0.965513 | − | 0.351418i | ||||
\(805\) | 8.58534 | − | 14.8703i | 0.302594 | − | 0.524108i | ||||
\(806\) | 23.1072 | + | 40.0228i | 0.813916 | + | 1.40974i | ||||
\(807\) | 31.6275 | + | 26.5386i | 1.11334 | + | 0.934204i | ||||
\(808\) | −8.64322 | − | 7.25253i | −0.304068 | − | 0.255143i | ||||
\(809\) | −28.4228 | − | 49.2297i | −0.999291 | − | 1.73082i | −0.532244 | − | 0.846591i | \(-0.678651\pi\) |
−0.467047 | − | 0.884232i | \(-0.654682\pi\) | |||||||
\(810\) | 9.62126 | − | 16.6645i | 0.338057 | − | 0.585531i | ||||
\(811\) | −19.6592 | + | 7.15536i | −0.690327 | + | 0.251259i | −0.663275 | − | 0.748375i | \(-0.730834\pi\) |
−0.0270520 | + | 0.999634i | \(0.508612\pi\) | |||||||
\(812\) | 2.87753 | + | 16.3193i | 0.100982 | + | 0.572696i | ||||
\(813\) | −1.21082 | + | 6.86690i | −0.0424653 | + | 0.240833i | ||||
\(814\) | 0.869050 | + | 0.316308i | 0.0304602 | + | 0.0110866i | ||||
\(815\) | −10.5363 | + | 8.84099i | −0.369070 | + | 0.309686i | ||||
\(816\) | 12.5231 | 0.438394 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −17.1433 | −0.599401 | ||||||||
\(819\) | 45.5003 | − | 38.1793i | 1.58991 | − | 1.33409i | ||||
\(820\) | 6.02655 | + | 2.19348i | 0.210456 | + | 0.0765998i | ||||
\(821\) | 2.82321 | − | 16.0112i | 0.0985308 | − | 0.558796i | −0.895077 | − | 0.445911i | \(-0.852880\pi\) |
0.993608 | − | 0.112885i | \(-0.0360092\pi\) | |||||||
\(822\) | 6.96499 | + | 39.5004i | 0.242932 | + | 1.37773i | ||||
\(823\) | 16.4755 | − | 5.99659i | 0.574299 | − | 0.209028i | −0.0385106 | − | 0.999258i | \(-0.512261\pi\) |
0.612810 | + | 0.790230i | \(0.290039\pi\) | |||||||
\(824\) | −7.41399 | + | 12.8414i | −0.258279 | + | 0.447352i | ||||
\(825\) | 2.22056 | + | 3.84613i | 0.0773101 | + | 0.133905i | ||||
\(826\) | 10.6201 | + | 8.91133i | 0.369521 | + | 0.310065i | ||||
\(827\) | 13.0422 | + | 10.9437i | 0.453521 | + | 0.380550i | 0.840741 | − | 0.541438i | \(-0.182120\pi\) |
−0.387219 | + | 0.921988i | \(0.626564\pi\) | |||||||
\(828\) | 4.18709 | + | 7.25225i | 0.145511 | + | 0.252033i | ||||
\(829\) | −2.88103 | + | 4.99010i | −0.100062 | + | 0.173313i | −0.911710 | − | 0.410834i | \(-0.865238\pi\) |
0.811648 | + | 0.584147i | \(0.198571\pi\) | |||||||
\(830\) | −35.0796 | + | 12.7679i | −1.21763 | + | 0.443181i | ||||
\(831\) | 10.7357 | + | 60.8853i | 0.372418 | + | 2.11209i | ||||
\(832\) | −1.10172 | + | 6.24819i | −0.0381954 | + | 0.216617i | ||||
\(833\) | −3.75533 | − | 1.36683i | −0.130115 | − | 0.0473578i | ||||
\(834\) | −19.5374 | + | 16.3939i | −0.676526 | + | 0.567673i | ||||
\(835\) | −17.4232 | −0.602954 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.44588 | −0.222802 | ||||||||
\(838\) | 14.1750 | − | 11.8943i | 0.489669 | − | 0.410881i | ||||
\(839\) | 8.36283 | + | 3.04382i | 0.288717 | + | 0.105084i | 0.482319 | − | 0.875996i | \(-0.339795\pi\) |
−0.193602 | + | 0.981080i | \(0.562017\pi\) | |||||||
\(840\) | −3.00701 | + | 17.0536i | −0.103752 | + | 0.588404i | ||||
\(841\) | 1.07420 | + | 6.09210i | 0.0370414 | + | 0.210072i | ||||
\(842\) | 15.2226 | − | 5.54059i | 0.524607 | − | 0.190941i | ||||
\(843\) | 12.8154 | − | 22.1969i | 0.441386 | − | 0.764503i | ||||
\(844\) | 4.05815 | + | 7.02892i | 0.139687 | + | 0.241945i | ||||
\(845\) | −51.3514 | − | 43.0889i | −1.76654 | − | 1.48230i | ||||
\(846\) | −1.91403 | − | 1.60606i | −0.0658057 | − | 0.0552175i | ||||
\(847\) | −11.4294 | − | 19.7963i | −0.392718 | − | 0.680208i | ||||
\(848\) | −0.735136 | + | 1.27329i | −0.0252447 | + | 0.0437250i | ||||
\(849\) | −65.5219 | + | 23.8480i | −2.24870 | + | 0.818462i | ||||
\(850\) | −0.905926 | − | 5.13776i | −0.0310730 | − | 0.176224i | ||||
\(851\) | 0.239083 | − | 1.35591i | 0.00819567 | − | 0.0464800i | ||||
\(852\) | −16.5700 | − | 6.03099i | −0.567679 | − | 0.206618i | ||||
\(853\) | 2.13661 | − | 1.79283i | 0.0731562 | − | 0.0613854i | −0.605476 | − | 0.795863i | \(-0.707017\pi\) |
0.678633 | + | 0.734478i | \(0.262573\pi\) | |||||||
\(854\) | 26.0835 | 0.892559 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.82849 | −0.0966757 | ||||||||
\(857\) | −12.5589 | + | 10.5382i | −0.429004 | + | 0.359977i | −0.831576 | − | 0.555412i | \(-0.812561\pi\) |
0.402572 | + | 0.915388i | \(0.368116\pi\) | |||||||
\(858\) | 25.2199 | + | 9.17930i | 0.860994 | + | 0.313376i | ||||
\(859\) | 1.65401 | − | 9.38034i | 0.0564340 | − | 0.320053i | −0.943502 | − | 0.331367i | \(-0.892490\pi\) |
0.999936 | + | 0.0113137i | \(0.00360134\pi\) | |||||||
\(860\) | −1.22637 | − | 6.95507i | −0.0418187 | − | 0.237166i | ||||
\(861\) | 17.2499 | − | 6.27845i | 0.587875 | − | 0.213969i | ||||
\(862\) | −6.34983 | + | 10.9982i | −0.216276 | + | 0.374601i | ||||
\(863\) | −25.3382 | − | 43.8871i | −0.862523 | − | 1.49393i | −0.869486 | − | 0.493958i | \(-0.835550\pi\) |
0.00696312 | − | 0.999976i | \(-0.497784\pi\) | |||||||
\(864\) | −0.677893 | − | 0.568820i | −0.0230624 | − | 0.0193517i | ||||
\(865\) | −43.3758 | − | 36.3966i | −1.47482 | − | 1.23752i | ||||
\(866\) | −7.11751 | − | 12.3279i | −0.241863 | − | 0.418919i | ||||
\(867\) | −9.69337 | + | 16.7894i | −0.329204 | + | 0.570198i | ||||
\(868\) | −19.1217 | + | 6.95971i | −0.649031 | + | 0.236228i | ||||
\(869\) | −1.72307 | − | 9.77203i | −0.0584512 | − | 0.331493i | ||||
\(870\) | −6.38491 | + | 36.2106i | −0.216469 | + | 1.22766i | ||||
\(871\) | −68.9228 | − | 25.0858i | −2.33536 | − | 0.850001i | ||||
\(872\) | 1.32173 | − | 1.10906i | 0.0447593 | − | 0.0375575i | ||||
\(873\) | −48.2141 | −1.63180 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −27.1424 | −0.917582 | ||||||||
\(876\) | −11.9427 | + | 10.0211i | −0.403507 | + | 0.338583i | ||||
\(877\) | 18.0965 | + | 6.58657i | 0.611074 | + | 0.222413i | 0.628973 | − | 0.777427i | \(-0.283476\pi\) |
−0.0178993 | + | 0.999840i | \(0.505698\pi\) | |||||||
\(878\) | 4.89515 | − | 27.7618i | 0.165203 | − | 0.936914i | ||||
\(879\) | −10.4322 | − | 59.1641i | −0.351870 | − | 1.99555i | ||||
\(880\) | −3.87961 | + | 1.41206i | −0.130782 | + | 0.0476007i | ||||
\(881\) | −9.55379 | + | 16.5476i | −0.321875 | + | 0.557504i | −0.980875 | − | 0.194639i | \(-0.937646\pi\) |
0.659000 | + | 0.752143i | \(0.270980\pi\) | |||||||
\(882\) | 1.34754 | + | 2.33400i | 0.0453739 | + | 0.0785900i | ||||
\(883\) | 38.3007 | + | 32.1381i | 1.28892 | + | 1.08153i | 0.991948 | + | 0.126646i | \(0.0404214\pi\) |
0.296972 | + | 0.954886i | \(0.404023\pi\) | |||||||
\(884\) | −24.1513 | − | 20.2654i | −0.812297 | − | 0.681598i | ||||
\(885\) | 15.3808 | + | 26.6404i | 0.517020 | + | 0.895506i | ||||
\(886\) | −16.4972 | + | 28.5740i | −0.554234 | + | 0.959961i | ||||
\(887\) | 37.2301 | − | 13.5507i | 1.25007 | − | 0.454987i | 0.369642 | − | 0.929174i | \(-0.379480\pi\) |
0.880424 | + | 0.474188i | \(0.157258\pi\) | |||||||
\(888\) | 0.241116 | + | 1.36744i | 0.00809132 | + | 0.0458881i | ||||
\(889\) | −0.551232 | + | 3.12619i | −0.0184877 | + | 0.104849i | ||||
\(890\) | 15.9597 | + | 5.80884i | 0.534969 | + | 0.194713i | ||||
\(891\) | 10.0594 | − | 8.44084i | 0.337003 | − | 0.282779i | ||||
\(892\) | −10.7540 | −0.360071 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −23.6856 | −0.792166 | ||||||||
\(895\) | 15.4782 | − | 12.9877i | 0.517378 | − | 0.434132i | ||||
\(896\) | −2.62513 | − | 0.955469i | −0.0876994 | − | 0.0319200i | ||||
\(897\) | 6.93822 | − | 39.3486i | 0.231661 | − | 1.31381i | ||||
\(898\) | −2.98632 | − | 16.9363i | −0.0996548 | − | 0.565170i | ||||
\(899\) | −40.6019 | + | 14.7779i | −1.35415 | + | 0.492869i | ||||
\(900\) | −1.75914 | + | 3.04692i | −0.0586380 | + | 0.101564i | ||||
\(901\) | −3.65302 | − | 6.32721i | −0.121700 | − | 0.210790i | ||||
\(902\) | 3.35269 | + | 2.81324i | 0.111632 | + | 0.0936706i | ||||
\(903\) | −15.4854 | − | 12.9938i | −0.515321 | − | 0.432405i | ||||
\(904\) | 0.213892 | + | 0.370473i | 0.00711396 | + | 0.0123217i | ||||
\(905\) | 15.9876 | − | 27.6913i | 0.531445 | − | 0.920490i | ||||
\(906\) | 24.3050 | − | 8.84630i | 0.807480 | − | 0.293899i | ||||
\(907\) | −9.59484 | − | 54.4151i | −0.318592 | − | 1.80682i | −0.551335 | − | 0.834284i | \(-0.685881\pi\) |
0.232743 | − | 0.972538i | \(-0.425230\pi\) | |||||||
\(908\) | −4.70476 | + | 26.6820i | −0.156133 | + | 0.885473i | ||||
\(909\) | −35.5304 | − | 12.9320i | −1.17847 | − | 0.428928i | ||||
\(910\) | 33.3960 | − | 28.0226i | 1.10707 | − | 0.928940i | ||||
\(911\) | −27.7087 | −0.918031 | −0.459015 | − | 0.888428i | \(-0.651798\pi\) | ||||
−0.459015 | + | 0.888428i | \(0.651798\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −25.4756 | −0.843120 | ||||||||
\(914\) | 23.8636 | − | 20.0239i | 0.789337 | − | 0.662333i | ||||
\(915\) | 54.3858 | + | 19.7948i | 1.79794 | + | 0.654397i | ||||
\(916\) | 1.64368 | − | 9.32177i | 0.0543087 | − | 0.308000i | ||||
\(917\) | 8.65499 | + | 49.0849i | 0.285813 | + | 1.62093i | ||||
\(918\) | 4.13216 | − | 1.50398i | 0.136382 | − | 0.0496389i | ||||
\(919\) | −13.6250 | + | 23.5992i | −0.449447 | + | 0.778465i | −0.998350 | − | 0.0574208i | \(-0.981712\pi\) |
0.548903 | + | 0.835886i | \(0.315046\pi\) | |||||||
\(920\) | 3.07321 | + | 5.32296i | 0.101321 | + | 0.175493i | ||||
\(921\) | −50.1718 | − | 42.0992i | −1.65322 | − | 1.38722i | ||||
\(922\) | −11.9051 | − | 9.98956i | −0.392073 | − | 0.328989i | ||||
\(923\) | 22.1964 | + | 38.4454i | 0.730605 | + | 1.26544i | ||||
\(924\) | −5.90868 | + | 10.2341i | −0.194381 | + | 0.336678i | ||||
\(925\) | 0.543567 | − | 0.197842i | 0.0178724 | − | 0.00650502i | ||||
\(926\) | −3.58840 | − | 20.3508i | −0.117922 | − | 0.668770i | ||||
\(927\) | −8.62869 | + | 48.9357i | −0.283403 | + | 1.60726i | ||||
\(928\) | −5.57406 | − | 2.02879i | −0.182977 | − | 0.0665983i | ||||
\(929\) | 34.0438 | − | 28.5661i | 1.11694 | − | 0.937224i | 0.118494 | − | 0.992955i | \(-0.462193\pi\) |
0.998446 | + | 0.0557312i | \(0.0177490\pi\) | |||||||
\(930\) | −45.1517 | −1.48058 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 22.8621 | 0.748873 | ||||||||
\(933\) | −44.6040 | + | 37.4272i | −1.46027 | + | 1.22531i | ||||
\(934\) | −26.7652 | − | 9.74175i | −0.875785 | − | 0.318760i | ||||
\(935\) | 3.56252 | − | 20.2041i | 0.116507 | − | 0.660743i | ||||
\(936\) | 3.69203 | + | 20.9386i | 0.120678 | + | 0.684398i | ||||
\(937\) | 17.1115 | − | 6.22808i | 0.559009 | − | 0.203463i | −0.0470358 | − | 0.998893i | \(-0.514977\pi\) |
0.606045 | + | 0.795431i | \(0.292755\pi\) | |||||||
\(938\) | 16.1477 | − | 27.9686i | 0.527239 | − | 0.913206i | ||||
\(939\) | −15.4544 | − | 26.7678i | −0.504336 | − | 0.873536i | ||||
\(940\) | −1.40485 | − | 1.17881i | −0.0458211 | − | 0.0384485i | ||||
\(941\) | 30.8471 | + | 25.8838i | 1.00559 | + | 0.843787i | 0.987749 | − | 0.156054i | \(-0.0498773\pi\) |
0.0178380 | + | 0.999841i | \(0.494322\pi\) | |||||||
\(942\) | 3.74730 | + | 6.49052i | 0.122094 | + | 0.211472i | ||||
\(943\) | 3.25784 | − | 5.64274i | 0.106090 | − | 0.183753i | ||||
\(944\) | −4.66333 | + | 1.69731i | −0.151778 | + | 0.0552428i | ||||
\(945\) | 1.05588 | + | 5.98821i | 0.0343479 | + | 0.194796i | ||||
\(946\) | 0.836906 | − | 4.74633i | 0.0272101 | − | 0.154316i | ||||
\(947\) | −5.98171 | − | 2.17717i | −0.194380 | − | 0.0707484i | 0.242996 | − | 0.970027i | \(-0.421870\pi\) |
−0.437376 | + | 0.899279i | \(0.644092\pi\) | |||||||
\(948\) | 11.4126 | − | 9.57629i | 0.370663 | − | 0.311023i | ||||
\(949\) | 39.2488 | 1.27407 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.686248 | 0.0222531 | ||||||||
\(952\) | 10.6342 | − | 8.92312i | 0.344655 | − | 0.289200i | ||||
\(953\) | −30.7227 | − | 11.1821i | −0.995205 | − | 0.362225i | −0.207471 | − | 0.978241i | \(-0.566523\pi\) |
−0.787734 | + | 0.616016i | \(0.788746\pi\) | |||||||
\(954\) | −0.855579 | + | 4.85223i | −0.0277004 | + | 0.157097i | ||||
\(955\) | −2.80818 | − | 15.9260i | −0.0908707 | − | 0.515353i | ||||
\(956\) | −8.14348 | + | 2.96399i | −0.263379 | + | 0.0958622i | ||||
\(957\) | −12.5462 | + | 21.7306i | −0.405560 | + | 0.702450i | ||||
\(958\) | −5.23632 | − | 9.06958i | −0.169178 | − | 0.293025i | ||||
\(959\) | 34.0599 | + | 28.5796i | 1.09985 | + | 0.922884i | ||||
\(960\) | −4.74846 | − | 3.98443i | −0.153256 | − | 0.128597i | ||||
\(961\) | −11.0289 | − | 19.1026i | −0.355771 | − | 0.616214i | ||||
\(962\) | 1.74784 | − | 3.02735i | 0.0563527 | − | 0.0976057i | ||||
\(963\) | −8.90702 | + | 3.24189i | −0.287025 | + | 0.104469i | ||||
\(964\) | −0.982546 | − | 5.57230i | −0.0316457 | − | 0.179472i | ||||
\(965\) | 11.4819 | − | 65.1173i | 0.369617 | − | 2.09620i | ||||
\(966\) | 16.5320 | + | 6.01717i | 0.531909 | + | 0.193599i | ||||
\(967\) | 6.55685 | − | 5.50185i | 0.210854 | − | 0.176928i | −0.531244 | − | 0.847219i | \(-0.678275\pi\) |
0.742098 | + | 0.670291i | \(0.233831\pi\) | |||||||
\(968\) | 8.18253 | 0.262997 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −35.3879 | −1.13624 | ||||||||
\(971\) | 32.0811 | − | 26.9192i | 1.02953 | − | 0.863879i | 0.0387357 | − | 0.999249i | \(-0.487667\pi\) |
0.990795 | + | 0.135371i | \(0.0432225\pi\) | |||||||
\(972\) | 21.0215 | + | 7.65119i | 0.674264 | + | 0.245412i | ||||
\(973\) | −4.90934 | + | 27.8422i | −0.157386 | + | 0.892581i | ||||
\(974\) | 0.399207 | + | 2.26401i | 0.0127914 | + | 0.0725437i | ||||
\(975\) | 15.7744 | − | 5.74140i | 0.505184 | − | 0.183872i | ||||
\(976\) | −4.66843 | + | 8.08596i | −0.149433 | + | 0.258825i | ||||
\(977\) | −3.09010 | − | 5.35222i | −0.0988612 | − | 0.171233i | 0.812352 | − | 0.583167i | \(-0.198187\pi\) |
−0.911214 | + | 0.411934i | \(0.864853\pi\) | |||||||
\(978\) | −10.7954 | − | 9.05844i | −0.345200 | − | 0.289657i | ||||
\(979\) | 8.87868 | + | 7.45009i | 0.283764 | + | 0.238106i | ||||
\(980\) | 0.989057 | + | 1.71310i | 0.0315943 | + | 0.0547229i | ||||
\(981\) | 2.89101 | − | 5.00738i | 0.0923029 | − | 0.159873i | ||||
\(982\) | 11.4278 | − | 4.15937i | 0.364675 | − | 0.132731i | ||||
\(983\) | −5.83009 | − | 33.0641i | −0.185951 | − | 1.05458i | −0.924727 | − | 0.380630i | \(-0.875707\pi\) |
0.738776 | − | 0.673951i | \(-0.235404\pi\) | |||||||
\(984\) | −1.14105 | + | 6.47123i | −0.0363754 | + | 0.206295i | ||||
\(985\) | −22.7651 | − | 8.28581i | −0.725355 | − | 0.264008i | ||||
\(986\) | 22.5800 | − | 18.9469i | 0.719093 | − | 0.603391i | ||||
\(987\) | −5.24920 | −0.167084 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.17507 | −0.228154 | ||||||||
\(990\) | −10.5986 | + | 8.89330i | −0.336846 | + | 0.282648i | ||||
\(991\) | −43.3899 | − | 15.7927i | −1.37833 | − | 0.501670i | −0.456656 | − | 0.889643i | \(-0.650953\pi\) |
−0.921671 | + | 0.387973i | \(0.873175\pi\) | |||||||
\(992\) | 1.26487 | − | 7.17342i | 0.0401596 | − | 0.227756i | ||||
\(993\) | 8.74931 | + | 49.6198i | 0.277651 | + | 1.57464i | ||||
\(994\) | −18.3680 | + | 6.68540i | −0.582597 | + | 0.212048i | ||||
\(995\) | −25.1697 | + | 43.5952i | −0.797934 | + | 1.38206i | ||||
\(996\) | −19.1245 | − | 33.1247i | −0.605984 | − | 1.04960i | ||||
\(997\) | −0.627490 | − | 0.526527i | −0.0198728 | − | 0.0166753i | 0.632797 | − | 0.774318i | \(-0.281907\pi\) |
−0.652670 | + | 0.757642i | \(0.726351\pi\) | |||||||
\(998\) | −11.5940 | − | 9.72849i | −0.367000 | − | 0.307950i | ||||
\(999\) | 0.243785 | + | 0.422248i | 0.00771302 | + | 0.0133593i |
(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 | 722.2.e.s.595.1 | 24 | ||
19.2 | odd | 18 | 722.2.e.r.423.1 | 24 | |||
19.3 | odd | 18 | 722.2.e.r.415.4 | 24 | |||
19.4 | even | 9 | 722.2.a.m.1.4 | ✓ | 4 | ||
19.5 | even | 9 | inner | 722.2.e.s.245.4 | 24 | ||
19.6 | even | 9 | 722.2.c.n.653.1 | 8 | |||
19.7 | even | 3 | inner | 722.2.e.s.389.4 | 24 | ||
19.8 | odd | 6 | 722.2.e.r.99.1 | 24 | |||
19.9 | even | 9 | 722.2.c.n.429.1 | 8 | |||
19.10 | odd | 18 | 722.2.c.m.429.4 | 8 | |||
19.11 | even | 3 | inner | 722.2.e.s.99.4 | 24 | ||
19.12 | odd | 6 | 722.2.e.r.389.1 | 24 | |||
19.13 | odd | 18 | 722.2.c.m.653.4 | 8 | |||
19.14 | odd | 18 | 722.2.e.r.245.1 | 24 | |||
19.15 | odd | 18 | 722.2.a.n.1.1 | yes | 4 | ||
19.16 | even | 9 | inner | 722.2.e.s.415.1 | 24 | ||
19.17 | even | 9 | inner | 722.2.e.s.423.4 | 24 | ||
19.18 | odd | 2 | 722.2.e.r.595.4 | 24 | |||
57.23 | odd | 18 | 6498.2.a.ca.1.4 | 4 | |||
57.53 | even | 18 | 6498.2.a.bx.1.4 | 4 | |||
76.15 | even | 18 | 5776.2.a.bt.1.4 | 4 | |||
76.23 | odd | 18 | 5776.2.a.bv.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.4 | ✓ | 4 | 19.4 | even | 9 | ||
722.2.a.n.1.1 | yes | 4 | 19.15 | odd | 18 | ||
722.2.c.m.429.4 | 8 | 19.10 | odd | 18 | |||
722.2.c.m.653.4 | 8 | 19.13 | odd | 18 | |||
722.2.c.n.429.1 | 8 | 19.9 | even | 9 | |||
722.2.c.n.653.1 | 8 | 19.6 | even | 9 | |||
722.2.e.r.99.1 | 24 | 19.8 | odd | 6 | |||
722.2.e.r.245.1 | 24 | 19.14 | odd | 18 | |||
722.2.e.r.389.1 | 24 | 19.12 | odd | 6 | |||
722.2.e.r.415.4 | 24 | 19.3 | odd | 18 | |||
722.2.e.r.423.1 | 24 | 19.2 | odd | 18 | |||
722.2.e.r.595.4 | 24 | 19.18 | odd | 2 | |||
722.2.e.s.99.4 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.s.245.4 | 24 | 19.5 | even | 9 | inner | ||
722.2.e.s.389.4 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.s.415.1 | 24 | 19.16 | even | 9 | inner | ||
722.2.e.s.423.4 | 24 | 19.17 | even | 9 | inner | ||
722.2.e.s.595.1 | 24 | 1.1 | even | 1 | trivial | ||
5776.2.a.bt.1.4 | 4 | 76.15 | even | 18 | |||
5776.2.a.bv.1.1 | 4 | 76.23 | odd | 18 | |||
6498.2.a.bx.1.4 | 4 | 57.53 | even | 18 | |||
6498.2.a.ca.1.4 | 4 | 57.23 | odd | 18 |