Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [152,2,Mod(45,152)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(152, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("152.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 152 = 2^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 152.p (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.21372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 125.17 | ||
Character | \(\chi\) | \(=\) | 152.125 |
Dual form | 152.2.p.a.45.17 |
$q$-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 \(\left(\mathbb{Z}/152\mathbb{Z}\right)^\times\).
\(n\) | \(39\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35164 | + | 0.416007i | 0.955756 | + | 0.294161i | ||||
\(3\) | 1.63085 | + | 0.941569i | 0.941569 | + | 0.543615i | 0.890452 | − | 0.455078i | \(-0.150388\pi\) |
0.0511172 | + | 0.998693i | \(0.483722\pi\) | |||||||
\(4\) | 1.65388 | + | 1.12459i | 0.826938 | + | 0.562293i | ||||
\(5\) | −3.38526 | − | 1.95448i | −1.51394 | − | 0.874071i | −0.999867 | − | 0.0163224i | \(-0.994804\pi\) |
−0.514069 | − | 0.857749i | \(-0.671862\pi\) | |||||||
\(6\) | 1.81262 | + | 1.95111i | 0.739999 | + | 0.796536i | ||||
\(7\) | 0.489256 | 0.184921 | 0.0924607 | − | 0.995716i | \(-0.470527\pi\) | ||||
0.0924607 | + | 0.995716i | \(0.470527\pi\) | |||||||
\(8\) | 1.76761 | + | 2.20806i | 0.624946 | + | 0.780668i | ||||
\(9\) | 0.273104 | + | 0.473030i | 0.0910347 | + | 0.157677i | ||||
\(10\) | −3.76259 | − | 4.05006i | −1.18983 | − | 1.28074i | ||||
\(11\) | − | 1.19595i | − | 0.360594i | −0.983612 | − | 0.180297i | \(-0.942294\pi\) | ||
0.983612 | − | 0.180297i | \(-0.0577058\pi\) | |||||||
\(12\) | 1.63834 | + | 3.39126i | 0.472948 | + | 0.978974i | ||||
\(13\) | −3.60074 | + | 2.07889i | −0.998666 | + | 0.576580i | −0.907853 | − | 0.419288i | \(-0.862280\pi\) |
−0.0908128 | + | 0.995868i | \(0.528946\pi\) | |||||||
\(14\) | 0.661299 | + | 0.203534i | 0.176740 | + | 0.0543967i | ||||
\(15\) | −3.68056 | − | 6.37492i | −0.950317 | − | 1.64600i | ||||
\(16\) | 1.47061 | + | 3.71985i | 0.367654 | + | 0.929963i | ||||
\(17\) | 1.07966 | − | 1.87003i | 0.261857 | − | 0.453550i | −0.704878 | − | 0.709328i | \(-0.748998\pi\) |
0.966735 | + | 0.255778i | \(0.0823317\pi\) | |||||||
\(18\) | 0.172355 | + | 0.752981i | 0.0406246 | + | 0.177479i | ||||
\(19\) | −4.24232 | + | 1.00138i | −0.973254 | + | 0.229732i | ||||
\(20\) | −3.40082 | − | 7.03949i | −0.760447 | − | 1.57408i | ||||
\(21\) | 0.797900 | + | 0.460668i | 0.174116 | + | 0.100526i | ||||
\(22\) | 0.497525 | − | 1.61650i | 0.106073 | − | 0.344639i | ||||
\(23\) | −0.606476 | − | 1.05045i | −0.126459 | − | 0.219033i | 0.795843 | − | 0.605503i | \(-0.207028\pi\) |
−0.922302 | + | 0.386469i | \(0.873695\pi\) | |||||||
\(24\) | 0.803663 | + | 5.26534i | 0.164047 | + | 1.07478i | ||||
\(25\) | 5.14001 | + | 8.90275i | 1.02800 | + | 1.78055i | ||||
\(26\) | −5.73175 | + | 1.31198i | −1.12409 | + | 0.257301i | ||||
\(27\) | − | 4.62083i | − | 0.889279i | ||||||
\(28\) | 0.809169 | + | 0.550210i | 0.152918 | + | 0.103980i | ||||
\(29\) | 8.31695 | − | 4.80179i | 1.54442 | − | 0.891670i | 0.545867 | − | 0.837872i | \(-0.316201\pi\) |
0.998552 | − | 0.0537984i | \(-0.0171328\pi\) | |||||||
\(30\) | −2.32279 | − | 10.1478i | −0.424082 | − | 1.85272i | ||||
\(31\) | 5.98736 | 1.07536 | 0.537681 | − | 0.843148i | \(-0.319301\pi\) | ||||
0.537681 | + | 0.843148i | \(0.319301\pi\) | |||||||
\(32\) | 0.440261 | + | 5.63970i | 0.0778279 | + | 0.996967i | ||||
\(33\) | 1.12607 | − | 1.95042i | 0.196024 | − | 0.339524i | ||||
\(34\) | 2.23727 | − | 2.07847i | 0.383688 | − | 0.356455i | ||||
\(35\) | −1.65626 | − | 0.956242i | −0.279959 | − | 0.161634i | ||||
\(36\) | −0.0802825 | + | 1.08946i | −0.0133804 | + | 0.181577i | ||||
\(37\) | 8.92838i | 1.46782i | 0.679249 | + | 0.733908i | \(0.262306\pi\) | ||||
−0.679249 | + | 0.733908i | \(0.737694\pi\) | |||||||
\(38\) | −6.15068 | − | 0.411330i | −0.997771 | − | 0.0667265i | ||||
\(39\) | −7.82967 | −1.25375 | ||||||||
\(40\) | −1.66822 | − | 10.9296i | −0.263769 | − | 1.72813i | ||||
\(41\) | −3.32609 | + | 5.76096i | −0.519448 | + | 0.899711i | 0.480296 | + | 0.877106i | \(0.340529\pi\) |
−0.999744 | + | 0.0226044i | \(0.992804\pi\) | |||||||
\(42\) | 0.886835 | + | 0.954591i | 0.136842 | + | 0.147297i | ||||
\(43\) | −2.90264 | − | 1.67584i | −0.442648 | − | 0.255563i | 0.262072 | − | 0.965048i | \(-0.415594\pi\) |
−0.704720 | + | 0.709485i | \(0.748927\pi\) | |||||||
\(44\) | 1.34495 | − | 1.97796i | 0.202759 | − | 0.298189i | ||||
\(45\) | − | 2.13511i | − | 0.318283i | ||||||
\(46\) | −0.382745 | − | 1.67213i | −0.0564327 | − | 0.246542i | ||||
\(47\) | −2.95386 | − | 5.11624i | −0.430865 | − | 0.746281i | 0.566083 | − | 0.824348i | \(-0.308458\pi\) |
−0.996948 | + | 0.0780677i | \(0.975125\pi\) | |||||||
\(48\) | −1.10415 | + | 7.45119i | −0.159371 | + | 1.07549i | ||||
\(49\) | −6.76063 | −0.965804 | ||||||||
\(50\) | 3.24384 | + | 14.1716i | 0.458749 | + | 2.00417i | ||||
\(51\) | 3.52153 | − | 2.03316i | 0.493113 | − | 0.284699i | ||||
\(52\) | −8.29307 | − | 0.611117i | −1.15004 | − | 0.0847466i | ||||
\(53\) | −0.375598 | + | 0.216852i | −0.0515924 | + | 0.0297869i | −0.525574 | − | 0.850748i | \(-0.676150\pi\) |
0.473982 | + | 0.880535i | \(0.342816\pi\) | |||||||
\(54\) | 1.92230 | − | 6.24571i | 0.261591 | − | 0.849933i | ||||
\(55\) | −2.33747 | + | 4.04862i | −0.315185 | + | 0.545916i | ||||
\(56\) | 0.864816 | + | 1.08031i | 0.115566 | + | 0.144362i | ||||
\(57\) | −7.86143 | − | 2.36134i | −1.04127 | − | 0.312768i | ||||
\(58\) | 13.2391 | − | 3.03040i | 1.73838 | − | 0.397911i | ||||
\(59\) | 8.71384 | + | 5.03094i | 1.13444 | + | 0.654972i | 0.945049 | − | 0.326929i | \(-0.106014\pi\) |
0.189396 | + | 0.981901i | \(0.439347\pi\) | |||||||
\(60\) | 1.08195 | − | 14.6824i | 0.139679 | − | 1.89549i | ||||
\(61\) | 1.58032 | − | 0.912395i | 0.202339 | − | 0.116820i | −0.395407 | − | 0.918506i | \(-0.629397\pi\) |
0.597746 | + | 0.801686i | \(0.296063\pi\) | |||||||
\(62\) | 8.09277 | + | 2.49078i | 1.02778 | + | 0.316330i | ||||
\(63\) | 0.133618 | + | 0.231433i | 0.0168343 | + | 0.0291578i | ||||
\(64\) | −1.75108 | + | 7.80601i | −0.218885 | + | 0.975751i | ||||
\(65\) | 16.2526 | 2.01589 | ||||||||
\(66\) | 2.33344 | − | 2.16781i | 0.287226 | − | 0.266839i | ||||
\(67\) | 6.58679 | − | 3.80289i | 0.804705 | − | 0.464597i | −0.0404088 | − | 0.999183i | \(-0.512866\pi\) |
0.845114 | + | 0.534587i | \(0.179533\pi\) | |||||||
\(68\) | 3.88865 | − | 1.87863i | 0.471568 | − | 0.227817i | ||||
\(69\) | − | 2.28416i | − | 0.274980i | ||||||
\(70\) | −1.84087 | − | 1.98151i | −0.220026 | − | 0.236836i | ||||
\(71\) | −6.86266 | + | 11.8865i | −0.814447 | + | 1.41066i | 0.0952767 | + | 0.995451i | \(0.469626\pi\) |
−0.909724 | + | 0.415213i | \(0.863707\pi\) | |||||||
\(72\) | −0.561737 | + | 1.43917i | −0.0662014 | + | 0.169607i | ||||
\(73\) | −3.34971 | + | 5.80187i | −0.392054 | + | 0.679057i | −0.992720 | − | 0.120443i | \(-0.961569\pi\) |
0.600667 | + | 0.799500i | \(0.294902\pi\) | |||||||
\(74\) | −3.71427 | + | 12.0680i | −0.431775 | + | 1.40287i | ||||
\(75\) | 19.3587i | 2.23535i | ||||||||
\(76\) | −8.14240 | − | 3.11469i | −0.933997 | − | 0.357280i | ||||
\(77\) | − | 0.585127i | − | 0.0666815i | ||||||
\(78\) | −10.5829 | − | 3.25720i | −1.19828 | − | 0.368805i | ||||
\(79\) | 4.39456 | − | 7.61160i | 0.494426 | − | 0.856371i | −0.505553 | − | 0.862796i | \(-0.668712\pi\) |
0.999979 | + | 0.00642403i | \(0.00204485\pi\) | |||||||
\(80\) | 2.29197 | − | 15.4670i | 0.256250 | − | 1.72926i | ||||
\(81\) | 5.17014 | − | 8.95495i | 0.574460 | − | 0.994994i | ||||
\(82\) | −6.89229 | + | 6.40308i | −0.761126 | + | 0.707102i | ||||
\(83\) | 1.47727i | 0.162152i | 0.996708 | + | 0.0810758i | \(0.0258356\pi\) | ||||
−0.996708 | + | 0.0810758i | \(0.974164\pi\) | |||||||
\(84\) | 0.801568 | + | 1.65920i | 0.0874582 | + | 0.181033i | ||||
\(85\) | −7.30990 | + | 4.22037i | −0.792870 | + | 0.457764i | ||||
\(86\) | −3.22617 | − | 3.47265i | −0.347887 | − | 0.374466i | ||||
\(87\) | 18.0849 | 1.93890 | ||||||||
\(88\) | 2.64074 | − | 2.11399i | 0.281504 | − | 0.225352i | ||||
\(89\) | −3.15315 | − | 5.46141i | −0.334233 | − | 0.578909i | 0.649104 | − | 0.760700i | \(-0.275144\pi\) |
−0.983337 | + | 0.181791i | \(0.941811\pi\) | |||||||
\(90\) | 0.888221 | − | 2.88591i | 0.0936267 | − | 0.304201i | ||||
\(91\) | −1.76168 | + | 1.01711i | −0.184675 | + | 0.106622i | ||||
\(92\) | 0.178281 | − | 2.41934i | 0.0185871 | − | 0.252234i | ||||
\(93\) | 9.76446 | + | 5.63751i | 1.01253 | + | 0.584583i | ||||
\(94\) | −1.86418 | − | 8.14416i | −0.192275 | − | 0.840006i | ||||
\(95\) | 16.3185 | + | 4.90161i | 1.67425 | + | 0.502895i | ||||
\(96\) | −4.59216 | + | 9.61201i | −0.468686 | + | 0.981021i | ||||
\(97\) | −1.02763 | + | 1.77991i | −0.104340 | + | 0.180722i | −0.913468 | − | 0.406910i | \(-0.866606\pi\) |
0.809128 | + | 0.587632i | \(0.199940\pi\) | |||||||
\(98\) | −9.13796 | − | 2.81247i | −0.923073 | − | 0.284102i | ||||
\(99\) | 0.565723 | − | 0.326620i | 0.0568573 | − | 0.0328266i | ||||
\(100\) | −1.51097 | + | 20.5044i | −0.151097 | + | 2.05044i | ||||
\(101\) | −4.58086 | + | 2.64476i | −0.455812 | + | 0.263163i | −0.710282 | − | 0.703917i | \(-0.751433\pi\) |
0.254469 | + | 0.967081i | \(0.418099\pi\) | |||||||
\(102\) | 5.60566 | − | 1.28312i | 0.555043 | − | 0.127048i | ||||
\(103\) | −3.31362 | −0.326501 | −0.163250 | − | 0.986585i | \(-0.552198\pi\) | ||||
−0.163250 | + | 0.986585i | \(0.552198\pi\) | |||||||
\(104\) | −10.9550 | − | 4.27599i | −1.07423 | − | 0.419295i | ||||
\(105\) | −1.80074 | − | 3.11897i | −0.175734 | − | 0.304380i | ||||
\(106\) | −0.597886 | + | 0.136855i | −0.0580719 | + | 0.0132925i | ||||
\(107\) | − | 14.4353i | − | 1.39551i | −0.716335 | − | 0.697757i | \(-0.754182\pi\) | ||
0.716335 | − | 0.697757i | \(-0.245818\pi\) | |||||||
\(108\) | 5.19652 | − | 7.64228i | 0.500035 | − | 0.735379i | ||||
\(109\) | 7.50604 | + | 4.33361i | 0.718948 | + | 0.415085i | 0.814365 | − | 0.580352i | \(-0.197085\pi\) |
−0.0954172 | + | 0.995437i | \(0.530419\pi\) | |||||||
\(110\) | −4.84368 | + | 4.49988i | −0.461827 | + | 0.429047i | ||||
\(111\) | −8.40668 | + | 14.5608i | −0.797927 | + | 1.38205i | ||||
\(112\) | 0.719507 | + | 1.81996i | 0.0679870 | + | 0.171970i | ||||
\(113\) | −1.55186 | −0.145987 | −0.0729933 | − | 0.997332i | \(-0.523255\pi\) | ||||
−0.0729933 | + | 0.997332i | \(0.523255\pi\) | |||||||
\(114\) | −9.64350 | − | 6.46210i | −0.903197 | − | 0.605231i | ||||
\(115\) | 4.74139i | 0.442137i | ||||||||
\(116\) | 19.1552 | + | 1.41155i | 1.77852 | + | 0.131059i | ||||
\(117\) | −1.96676 | − | 1.13551i | −0.181827 | − | 0.104978i | ||||
\(118\) | 9.68509 | + | 10.4250i | 0.891585 | + | 0.959703i | ||||
\(119\) | 0.528232 | − | 0.914925i | 0.0484230 | − | 0.0838711i | ||||
\(120\) | 7.57040 | − | 19.3953i | 0.691080 | − | 1.77054i | ||||
\(121\) | 9.56969 | 0.869972 | ||||||||
\(122\) | 2.51558 | − | 0.575810i | 0.227750 | − | 0.0521314i | ||||
\(123\) | −10.8487 | + | 6.26349i | −0.978193 | + | 0.564760i | ||||
\(124\) | 9.90235 | + | 6.73330i | 0.889258 | + | 0.604668i | ||||
\(125\) | − | 20.6394i | − | 1.84604i | ||||||
\(126\) | 0.0843259 | + | 0.368400i | 0.00751235 | + | 0.0328197i | ||||
\(127\) | −7.34720 | − | 12.7257i | −0.651959 | − | 1.12923i | −0.982647 | − | 0.185485i | \(-0.940614\pi\) |
0.330689 | − | 0.943740i | \(-0.392719\pi\) | |||||||
\(128\) | −5.61418 | + | 9.82247i | −0.496228 | + | 0.868192i | ||||
\(129\) | −3.15583 | − | 5.46606i | −0.277856 | − | 0.481260i | ||||
\(130\) | 21.9677 | + | 6.76120i | 1.92670 | + | 0.592996i | ||||
\(131\) | −8.51234 | − | 4.91460i | −0.743727 | − | 0.429391i | 0.0796960 | − | 0.996819i | \(-0.474605\pi\) |
−0.823423 | + | 0.567428i | \(0.807938\pi\) | |||||||
\(132\) | 4.05580 | − | 1.95938i | 0.353012 | − | 0.170542i | ||||
\(133\) | −2.07558 | + | 0.489929i | −0.179975 | + | 0.0424822i | ||||
\(134\) | 10.4850 | − | 2.39999i | 0.905768 | − | 0.207328i | ||||
\(135\) | −9.03133 | + | 15.6427i | −0.777293 | + | 1.34631i | ||||
\(136\) | 6.03758 | − | 0.921533i | 0.517719 | − | 0.0790208i | ||||
\(137\) | −9.12092 | − | 15.7979i | −0.779253 | − | 1.34971i | −0.932373 | − | 0.361497i | \(-0.882266\pi\) |
0.153121 | − | 0.988208i | \(-0.451068\pi\) | |||||||
\(138\) | 0.950225 | − | 3.08736i | 0.0808885 | − | 0.262814i | ||||
\(139\) | 18.4790 | − | 10.6689i | 1.56737 | − | 0.904922i | 0.570897 | − | 0.821022i | \(-0.306596\pi\) |
0.996474 | − | 0.0838999i | \(-0.0267376\pi\) | |||||||
\(140\) | −1.66387 | − | 3.44411i | −0.140623 | − | 0.291081i | ||||
\(141\) | − | 11.1251i | − | 0.936900i | ||||||
\(142\) | −14.2207 | + | 13.2113i | −1.19338 | + | 1.10867i | ||||
\(143\) | 2.48626 | + | 4.30632i | 0.207911 | + | 0.360113i | ||||
\(144\) | −1.35797 | + | 1.71155i | −0.113164 | + | 0.142629i | ||||
\(145\) | −37.5401 | −3.11753 | ||||||||
\(146\) | −6.94123 | + | 6.44855i | −0.574460 | + | 0.533686i | ||||
\(147\) | −11.0255 | − | 6.36560i | −0.909371 | − | 0.525026i | ||||
\(148\) | −10.0407 | + | 14.7664i | −0.825343 | + | 1.21379i | ||||
\(149\) | −7.56378 | − | 4.36695i | −0.619649 | − | 0.357755i | 0.157083 | − | 0.987585i | \(-0.449791\pi\) |
−0.776732 | + | 0.629831i | \(0.783124\pi\) | |||||||
\(150\) | −8.05334 | + | 26.1660i | −0.657553 | + | 2.13645i | ||||
\(151\) | 15.1038 | 1.22913 | 0.614563 | − | 0.788867i | \(-0.289332\pi\) | ||||
0.614563 | + | 0.788867i | \(0.289332\pi\) | |||||||
\(152\) | −9.70988 | − | 7.59725i | −0.787575 | − | 0.616218i | ||||
\(153\) | 1.17944 | 0.0953524 | ||||||||
\(154\) | 0.243417 | − | 0.790883i | 0.0196151 | − | 0.0637312i | ||||
\(155\) | −20.2688 | − | 11.7022i | −1.62803 | − | 0.939943i | ||||
\(156\) | −12.9493 | − | 8.80513i | −1.03677 | − | 0.704975i | ||||
\(157\) | −3.04528 | − | 1.75819i | −0.243040 | − | 0.140319i | 0.373533 | − | 0.927617i | \(-0.378146\pi\) |
−0.616573 | + | 0.787298i | \(0.711479\pi\) | |||||||
\(158\) | 9.10635 | − | 8.45999i | 0.724462 | − | 0.673041i | ||||
\(159\) | −0.816723 | −0.0647704 | ||||||||
\(160\) | 9.53229 | − | 19.9523i | 0.753594 | − | 1.57737i | ||||
\(161\) | −0.296722 | − | 0.513937i | −0.0233850 | − | 0.0405039i | ||||
\(162\) | 10.7135 | − | 9.95307i | 0.841732 | − | 0.781987i | ||||
\(163\) | 22.0891i | 1.73015i | 0.501639 | + | 0.865077i | \(0.332731\pi\) | ||||
−0.501639 | + | 0.865077i | \(0.667269\pi\) | |||||||
\(164\) | −11.9796 | + | 5.78744i | −0.935452 | + | 0.451923i | ||||
\(165\) | −7.62411 | + | 4.40178i | −0.593536 | + | 0.342678i | ||||
\(166\) | −0.614555 | + | 1.99674i | −0.0476987 | + | 0.154977i | ||||
\(167\) | −6.39584 | − | 11.0779i | −0.494925 | − | 0.857235i | 0.505058 | − | 0.863086i | \(-0.331471\pi\) |
−0.999983 | + | 0.00585014i | \(0.998138\pi\) | |||||||
\(168\) | 0.393197 | + | 2.57610i | 0.0303358 | + | 0.198750i | ||||
\(169\) | 2.14356 | − | 3.71276i | 0.164889 | − | 0.285597i | ||||
\(170\) | −11.6361 | + | 2.66347i | −0.892446 | + | 0.204279i | ||||
\(171\) | −1.63228 | − | 1.73326i | −0.124823 | − | 0.132546i | ||||
\(172\) | −2.91598 | − | 6.03589i | −0.222341 | − | 0.460232i | ||||
\(173\) | 5.20348 | + | 3.00423i | 0.395613 | + | 0.228407i | 0.684589 | − | 0.728929i | \(-0.259982\pi\) |
−0.288976 | + | 0.957336i | \(0.593315\pi\) | |||||||
\(174\) | 24.4443 | + | 7.52343i | 1.85312 | + | 0.570350i | ||||
\(175\) | 2.51478 | + | 4.35572i | 0.190099 | + | 0.329262i | ||||
\(176\) | 4.44877 | − | 1.75879i | 0.335339 | − | 0.132574i | ||||
\(177\) | 9.47395 | + | 16.4094i | 0.712105 | + | 1.23340i | ||||
\(178\) | −1.98994 | − | 8.69361i | −0.149153 | − | 0.651614i | ||||
\(179\) | − | 4.64276i | − | 0.347016i | −0.984832 | − | 0.173508i | \(-0.944490\pi\) | ||
0.984832 | − | 0.173508i | \(-0.0555102\pi\) | |||||||
\(180\) | 2.40111 | − | 3.53121i | 0.178968 | − | 0.263201i | ||||
\(181\) | −6.13908 | + | 3.54440i | −0.456314 | + | 0.263453i | −0.710493 | − | 0.703704i | \(-0.751528\pi\) |
0.254179 | + | 0.967157i | \(0.418195\pi\) | |||||||
\(182\) | −2.80429 | + | 0.641895i | −0.207868 | + | 0.0475804i | ||||
\(183\) | 3.43633 | 0.254021 | ||||||||
\(184\) | 1.24744 | − | 3.19592i | 0.0919623 | − | 0.235607i | ||||
\(185\) | 17.4504 | − | 30.2249i | 1.28298 | − | 2.22218i | ||||
\(186\) | 10.8528 | + | 11.6820i | 0.795767 | + | 0.856565i | ||||
\(187\) | −2.23648 | − | 1.29123i | −0.163547 | − | 0.0944241i | ||||
\(188\) | 0.868327 | − | 11.7835i | 0.0633292 | − | 0.859401i | ||||
\(189\) | − | 2.26077i | − | 0.164447i | ||||||
\(190\) | 20.0177 | + | 13.4138i | 1.45224 | + | 0.973143i | ||||
\(191\) | 10.9370 | 0.791377 | 0.395689 | − | 0.918385i | \(-0.370506\pi\) | ||||
0.395689 | + | 0.918385i | \(0.370506\pi\) | |||||||
\(192\) | −10.2056 | + | 11.0816i | −0.736528 | + | 0.799748i | ||||
\(193\) | −2.29535 | + | 3.97566i | −0.165223 | + | 0.286174i | −0.936734 | − | 0.350041i | \(-0.886168\pi\) |
0.771512 | + | 0.636215i | \(0.219501\pi\) | |||||||
\(194\) | −2.12945 | + | 1.97830i | −0.152885 | + | 0.142034i | ||||
\(195\) | 26.5055 | + | 15.3030i | 1.89810 | + | 1.09587i | ||||
\(196\) | −11.1812 | − | 7.60291i | −0.798660 | − | 0.543065i | ||||
\(197\) | 14.9951i | 1.06836i | 0.845371 | + | 0.534179i | \(0.179379\pi\) | ||||
−0.845371 | + | 0.534179i | \(0.820621\pi\) | |||||||
\(198\) | 0.900531 | − | 0.206129i | 0.0639980 | − | 0.0146490i | ||||
\(199\) | −6.16263 | − | 10.6740i | −0.436857 | − | 0.756659i | 0.560588 | − | 0.828095i | \(-0.310575\pi\) |
−0.997445 | + | 0.0714360i | \(0.977242\pi\) | |||||||
\(200\) | −10.5723 | + | 27.0861i | −0.747573 | + | 1.91528i | ||||
\(201\) | 14.3227 | 1.01025 | ||||||||
\(202\) | −7.29192 | + | 1.66910i | −0.513058 | + | 0.117438i | ||||
\(203\) | 4.06911 | − | 2.34930i | 0.285596 | − | 0.164889i | ||||
\(204\) | 8.11064 | + | 0.597673i | 0.567858 | + | 0.0418455i | ||||
\(205\) | 22.5194 | − | 13.0016i | 1.57282 | − | 0.908069i | ||||
\(206\) | −4.47883 | − | 1.37849i | −0.312055 | − | 0.0960439i | ||||
\(207\) | 0.331262 | − | 0.573763i | 0.0230243 | − | 0.0398793i | ||||
\(208\) | −13.0285 | − | 10.3370i | −0.903361 | − | 0.716741i | ||||
\(209\) | 1.19760 | + | 5.07361i | 0.0828397 | + | 0.350949i | ||||
\(210\) | −1.13644 | − | 4.96485i | −0.0784218 | − | 0.342607i | ||||
\(211\) | −20.0234 | − | 11.5605i | −1.37847 | − | 0.795860i | −0.386495 | − | 0.922291i | \(-0.626314\pi\) |
−0.991975 | + | 0.126431i | \(0.959648\pi\) | |||||||
\(212\) | −0.865061 | − | 0.0637464i | −0.0594127 | − | 0.00437812i | ||||
\(213\) | −22.3839 | + | 12.9233i | −1.53372 | + | 0.885492i | ||||
\(214\) | 6.00519 | − | 19.5114i | 0.410506 | − | 1.33377i | ||||
\(215\) | 6.55079 | + | 11.3463i | 0.446760 | + | 0.773812i | ||||
\(216\) | 10.2031 | − | 8.16784i | 0.694231 | − | 0.555751i | ||||
\(217\) | 2.92935 | 0.198857 | ||||||||
\(218\) | 8.34267 | + | 8.98006i | 0.565037 | + | 0.608207i | ||||
\(219\) | −10.9257 | + | 6.30796i | −0.738291 | + | 0.426253i | ||||
\(220\) | −8.41891 | + | 4.06723i | −0.567603 | + | 0.274213i | ||||
\(221\) | 8.97802i | 0.603927i | ||||||||
\(222\) | −17.4202 | + | 16.1838i | −1.16917 | + | 1.08618i | ||||
\(223\) | −0.514660 | + | 0.891417i | −0.0344642 | + | 0.0596937i | −0.882743 | − | 0.469856i | \(-0.844306\pi\) |
0.848279 | + | 0.529550i | \(0.177639\pi\) | |||||||
\(224\) | 0.215400 | + | 2.75925i | 0.0143920 | + | 0.184360i | ||||
\(225\) | −2.80751 | + | 4.86276i | −0.187168 | + | 0.324184i | ||||
\(226\) | −2.09756 | − | 0.645584i | −0.139528 | − | 0.0429436i | ||||
\(227\) | − | 10.8311i | − | 0.718885i | −0.933167 | − | 0.359442i | \(-0.882967\pi\) | ||
0.933167 | − | 0.359442i | \(-0.117033\pi\) | |||||||
\(228\) | −10.3463 | − | 12.7462i | −0.685200 | − | 0.844139i | ||||
\(229\) | − | 7.93635i | − | 0.524449i | −0.965007 | − | 0.262224i | \(-0.915544\pi\) | ||
0.965007 | − | 0.262224i | \(-0.0844560\pi\) | |||||||
\(230\) | −1.97245 | + | 6.40866i | −0.130059 | + | 0.422575i | ||||
\(231\) | 0.550938 | − | 0.954252i | 0.0362490 | − | 0.0627852i | ||||
\(232\) | 25.3038 | + | 9.87662i | 1.66128 | + | 0.648432i | ||||
\(233\) | −8.61835 | + | 14.9274i | −0.564607 | + | 0.977928i | 0.432479 | + | 0.901644i | \(0.357639\pi\) |
−0.997086 | + | 0.0762841i | \(0.975694\pi\) | |||||||
\(234\) | −2.18597 | − | 2.35298i | −0.142901 | − | 0.153819i | ||||
\(235\) | 23.0931i | 1.50643i | ||||||||
\(236\) | 8.75389 | + | 18.1200i | 0.569830 | + | 1.17951i | ||||
\(237\) | 14.3337 | − | 8.27556i | 0.931073 | − | 0.537555i | ||||
\(238\) | 1.09460 | − | 1.01690i | 0.0709522 | − | 0.0659161i | ||||
\(239\) | −2.50368 | −0.161950 | −0.0809749 | − | 0.996716i | \(-0.525803\pi\) | ||||
−0.0809749 | + | 0.996716i | \(0.525803\pi\) | |||||||
\(240\) | 18.3011 | − | 23.0662i | 1.18133 | − | 1.48892i | ||||
\(241\) | 4.56111 | + | 7.90007i | 0.293807 | + | 0.508888i | 0.974707 | − | 0.223488i | \(-0.0717445\pi\) |
−0.680900 | + | 0.732376i | \(0.738411\pi\) | |||||||
\(242\) | 12.9348 | + | 3.98106i | 0.831481 | + | 0.255912i | ||||
\(243\) | 4.85814 | − | 2.80485i | 0.311650 | − | 0.179931i | ||||
\(244\) | 3.63971 | + | 0.268210i | 0.233009 | + | 0.0171704i | ||||
\(245\) | 22.8865 | + | 13.2135i | 1.46217 | + | 0.844182i | ||||
\(246\) | −17.2692 | + | 3.95287i | −1.10104 | + | 0.252026i | ||||
\(247\) | 13.1937 | − | 12.4250i | 0.839497 | − | 0.790584i | ||||
\(248\) | 10.5833 | + | 13.2205i | 0.672043 | + | 0.839500i | ||||
\(249\) | −1.39095 | + | 2.40920i | −0.0881481 | + | 0.152677i | ||||
\(250\) | 8.58613 | − | 27.8971i | 0.543034 | − | 1.76437i | ||||
\(251\) | 9.69555 | − | 5.59773i | 0.611978 | − | 0.353326i | −0.161761 | − | 0.986830i | \(-0.551717\pi\) |
0.773739 | + | 0.633504i | \(0.218384\pi\) | |||||||
\(252\) | −0.0392787 | + | 0.533026i | −0.00247433 | + | 0.0335775i | ||||
\(253\) | −1.25629 | + | 0.725317i | −0.0789820 | + | 0.0456003i | ||||
\(254\) | −4.63680 | − | 20.2571i | −0.290939 | − | 1.27104i | ||||
\(255\) | −15.8951 | −0.995389 | ||||||||
\(256\) | −11.6746 | + | 10.9409i | −0.729662 | + | 0.683808i | ||||
\(257\) | 6.29483 | + | 10.9030i | 0.392660 | + | 0.680108i | 0.992800 | − | 0.119788i | \(-0.0382214\pi\) |
−0.600139 | + | 0.799896i | \(0.704888\pi\) | |||||||
\(258\) | −1.99164 | − | 8.70101i | −0.123994 | − | 0.541702i | ||||
\(259\) | 4.36826i | 0.271431i | ||||||||
\(260\) | 26.8798 | + | 18.2775i | 1.66702 | + | 1.13352i | ||||
\(261\) | 4.54279 | + | 2.62278i | 0.281191 | + | 0.162346i | ||||
\(262\) | −9.46114 | − | 10.1840i | −0.584511 | − | 0.629168i | ||||
\(263\) | −2.08534 | + | 3.61192i | −0.128588 | + | 0.222721i | −0.923130 | − | 0.384489i | \(-0.874378\pi\) |
0.794542 | + | 0.607209i | \(0.207711\pi\) | |||||||
\(264\) | 6.29710 | − | 0.961144i | 0.387560 | − | 0.0591543i | ||||
\(265\) | 1.69533 | 0.104143 | ||||||||
\(266\) | −3.00925 | − | 0.201245i | −0.184509 | − | 0.0123392i | ||||
\(267\) | − | 11.8756i | − | 0.726777i | ||||||
\(268\) | 15.1704 | + | 1.11791i | 0.926681 | + | 0.0682871i | ||||
\(269\) | −9.35654 | − | 5.40200i | −0.570478 | − | 0.329366i | 0.186862 | − | 0.982386i | \(-0.440168\pi\) |
−0.757340 | + | 0.653020i | \(0.773502\pi\) | |||||||
\(270\) | −18.7146 | + | 17.3863i | −1.13893 | + | 1.05809i | ||||
\(271\) | 0.627938 | − | 1.08762i | 0.0381445 | − | 0.0660682i | −0.846323 | − | 0.532670i | \(-0.821189\pi\) |
0.884467 | + | 0.466602i | \(0.154522\pi\) | |||||||
\(272\) | 8.54402 | + | 1.26609i | 0.518057 | + | 0.0767682i | ||||
\(273\) | −3.83071 | −0.231845 | ||||||||
\(274\) | −5.75619 | − | 25.1475i | −0.347744 | − | 1.51921i | ||||
\(275\) | 10.6473 | − | 6.14721i | 0.642055 | − | 0.370691i | ||||
\(276\) | 2.56873 | − | 3.77771i | 0.154619 | − | 0.227391i | ||||
\(277\) | − | 9.05640i | − | 0.544146i | −0.962277 | − | 0.272073i | \(-0.912291\pi\) | ||
0.962277 | − | 0.272073i | \(-0.0877093\pi\) | |||||||
\(278\) | 29.4154 | − | 6.73310i | 1.76422 | − | 0.403824i | ||||
\(279\) | 1.63517 | + | 2.83220i | 0.0978953 | + | 0.169560i | ||||
\(280\) | −0.816187 | − | 5.34739i | −0.0487765 | − | 0.319568i | ||||
\(281\) | 0.0974157 | + | 0.168729i | 0.00581133 | + | 0.0100655i | 0.868916 | − | 0.494959i | \(-0.164817\pi\) |
−0.863105 | + | 0.505024i | \(0.831484\pi\) | |||||||
\(282\) | 4.62811 | − | 15.0371i | 0.275600 | − | 0.895447i | ||||
\(283\) | 19.7126 | + | 11.3811i | 1.17179 | + | 0.676536i | 0.954102 | − | 0.299482i | \(-0.0968138\pi\) |
0.217692 | + | 0.976018i | \(0.430147\pi\) | |||||||
\(284\) | −24.7173 | + | 11.9411i | −1.46670 | + | 0.708574i | ||||
\(285\) | 21.9978 | + | 23.3588i | 1.30304 | + | 1.38366i | ||||
\(286\) | 1.56907 | + | 6.85491i | 0.0927811 | + | 0.405339i | ||||
\(287\) | −1.62731 | + | 2.81858i | −0.0960570 | + | 0.166376i | ||||
\(288\) | −2.54751 | + | 1.74848i | −0.150113 | + | 0.103030i | ||||
\(289\) | 6.16865 | + | 10.6844i | 0.362862 | + | 0.628495i | ||||
\(290\) | −50.7408 | − | 15.6169i | −2.97960 | − | 0.917058i | ||||
\(291\) | −3.35182 | + | 1.93517i | −0.196487 | + | 0.113442i | ||||
\(292\) | −12.0647 | + | 5.82854i | −0.706033 | + | 0.341089i | ||||
\(293\) | 6.04147i | 0.352946i | 0.984305 | + | 0.176473i | \(0.0564689\pi\) | ||||
−0.984305 | + | 0.176473i | \(0.943531\pi\) | |||||||
\(294\) | −12.2545 | − | 13.1907i | −0.714694 | − | 0.769298i | ||||
\(295\) | −19.6658 | − | 34.0621i | −1.14498 | − | 1.98317i | ||||
\(296\) | −19.7144 | + | 15.7819i | −1.14588 | + | 0.917306i | ||||
\(297\) | −5.52630 | −0.320668 | ||||||||
\(298\) | −8.40685 | − | 9.04915i | −0.486996 | − | 0.524203i | ||||
\(299\) | 4.36753 | + | 2.52159i | 0.252581 | + | 0.145827i | ||||
\(300\) | −21.7705 | + | 32.0169i | −1.25692 | + | 1.84849i | ||||
\(301\) | −1.42013 | − | 0.819913i | −0.0818550 | − | 0.0472590i | ||||
\(302\) | 20.4149 | + | 6.28327i | 1.17475 | + | 0.361562i | ||||
\(303\) | −9.96090 | −0.572238 | ||||||||
\(304\) | −9.96378 | − | 14.3081i | −0.571462 | − | 0.820628i | ||||
\(305\) | −7.13304 | −0.408437 | ||||||||
\(306\) | 1.59419 | + | 0.490657i | 0.0911336 | + | 0.0280490i | ||||
\(307\) | −6.17141 | − | 3.56307i | −0.352221 | − | 0.203355i | 0.313442 | − | 0.949607i | \(-0.398518\pi\) |
−0.665663 | + | 0.746252i | \(0.731851\pi\) | |||||||
\(308\) | 0.658026 | − | 0.967728i | 0.0374945 | − | 0.0551414i | ||||
\(309\) | −5.40400 | − | 3.12000i | −0.307423 | − | 0.177491i | ||||
\(310\) | −22.5280 | − | 24.2491i | −1.27950 | − | 1.37726i | ||||
\(311\) | −20.7970 | −1.17929 | −0.589644 | − | 0.807663i | \(-0.700732\pi\) | ||||
−0.589644 | + | 0.807663i | \(0.700732\pi\) | |||||||
\(312\) | −13.8398 | − | 17.2884i | −0.783527 | − | 0.978763i | ||||
\(313\) | 6.42109 | + | 11.1217i | 0.362941 | + | 0.628633i | 0.988444 | − | 0.151589i | \(-0.0484391\pi\) |
−0.625502 | + | 0.780223i | \(0.715106\pi\) | |||||||
\(314\) | −3.38471 | − | 3.64330i | −0.191010 | − | 0.205604i | ||||
\(315\) | − | 1.04461i | − | 0.0588574i | ||||||
\(316\) | 15.8279 | − | 7.64658i | 0.890392 | − | 0.430154i | ||||
\(317\) | −22.8516 | + | 13.1934i | −1.28347 | + | 0.741014i | −0.977482 | − | 0.211021i | \(-0.932321\pi\) |
−0.305992 | + | 0.952034i | \(0.598988\pi\) | |||||||
\(318\) | −1.10392 | − | 0.339763i | −0.0619047 | − | 0.0190529i | ||||
\(319\) | −5.74272 | − | 9.94669i | −0.321531 | − | 0.556908i | ||||
\(320\) | 21.1846 | − | 23.0029i | 1.18425 | − | 1.28590i | ||||
\(321\) | 13.5918 | − | 23.5418i | 0.758623 | − | 1.31397i | ||||
\(322\) | −0.187260 | − | 0.818098i | −0.0104356 | − | 0.0455908i | ||||
\(323\) | −2.70767 | + | 9.01443i | −0.150659 | + | 0.501576i | ||||
\(324\) | 18.6214 | − | 8.99611i | 1.03452 | − | 0.499784i | ||||
\(325\) | −37.0157 | − | 21.3710i | −2.05326 | − | 1.18545i | ||||
\(326\) | −9.18923 | + | 29.8566i | −0.508944 | + | 1.65360i | ||||
\(327\) | 8.16079 | + | 14.1349i | 0.451293 | + | 0.781662i | ||||
\(328\) | −18.5998 | + | 2.83894i | −1.02700 | + | 0.156754i | ||||
\(329\) | −1.44520 | − | 2.50315i | −0.0796762 | − | 0.138003i | ||||
\(330\) | −12.1362 | + | 2.77795i | −0.668078 | + | 0.152921i | ||||
\(331\) | 5.22679i | 0.287290i | 0.989629 | + | 0.143645i | \(0.0458824\pi\) | ||||
−0.989629 | + | 0.143645i | \(0.954118\pi\) | |||||||
\(332\) | −1.66132 | + | 2.44323i | −0.0911767 | + | 0.134089i | ||||
\(333\) | −4.22339 | + | 2.43838i | −0.231441 | + | 0.133622i | ||||
\(334\) | −4.03640 | − | 17.6341i | −0.220862 | − | 0.964895i | ||||
\(335\) | −29.7307 | −1.62436 | ||||||||
\(336\) | −0.540213 | + | 3.64554i | −0.0294710 | + | 0.198880i | ||||
\(337\) | −16.9498 | + | 29.3579i | −0.923313 | + | 1.59923i | −0.129062 | + | 0.991637i | \(0.541196\pi\) |
−0.794252 | + | 0.607589i | \(0.792137\pi\) | |||||||
\(338\) | 4.44186 | − | 4.12658i | 0.241605 | − | 0.224457i | ||||
\(339\) | −2.53084 | − | 1.46118i | −0.137456 | − | 0.0793605i | ||||
\(340\) | −16.8358 | − | 1.24063i | −0.913052 | − | 0.0672828i | ||||
\(341\) | − | 7.16061i | − | 0.387769i | ||||||
\(342\) | −1.48520 | − | 3.02179i | −0.0803106 | − | 0.163400i | ||||
\(343\) | −6.73247 | −0.363519 | ||||||||
\(344\) | −1.43039 | − | 9.37144i | −0.0771214 | − | 0.505274i | ||||
\(345\) | −4.46434 | + | 7.73247i | −0.240352 | + | 0.416302i | ||||
\(346\) | 5.78346 | + | 6.22533i | 0.310921 | + | 0.334676i | ||||
\(347\) | 13.2221 | + | 7.63379i | 0.709800 | + | 0.409803i | 0.810987 | − | 0.585064i | \(-0.198931\pi\) |
−0.101187 | + | 0.994867i | \(0.532264\pi\) | |||||||
\(348\) | 29.9101 | + | 20.3380i | 1.60335 | + | 1.09023i | ||||
\(349\) | − | 27.6642i | − | 1.48083i | −0.672148 | − | 0.740416i | \(-0.734628\pi\) | ||
0.672148 | − | 0.740416i | \(-0.265372\pi\) | |||||||
\(350\) | 1.58707 | + | 6.93355i | 0.0848325 | + | 0.370614i | ||||
\(351\) | 9.60619 | + | 16.6384i | 0.512740 | + | 0.888093i | ||||
\(352\) | 6.74482 | − | 0.526532i | 0.359500 | − | 0.0280643i | ||||
\(353\) | 13.6507 | 0.726556 | 0.363278 | − | 0.931681i | \(-0.381658\pi\) | ||||
0.363278 | + | 0.931681i | \(0.381658\pi\) | |||||||
\(354\) | 5.97898 | + | 26.1208i | 0.317779 | + | 1.38831i | ||||
\(355\) | 46.4638 | − | 26.8259i | 2.46604 | − | 1.42377i | ||||
\(356\) | 0.926909 | − | 12.5785i | 0.0491261 | − | 0.666659i | ||||
\(357\) | 1.72293 | − | 0.994734i | 0.0911871 | − | 0.0526469i | ||||
\(358\) | 1.93142 | − | 6.27535i | 0.102079 | − | 0.331662i | ||||
\(359\) | 8.92820 | − | 15.4641i | 0.471212 | − | 0.816163i | −0.528246 | − | 0.849092i | \(-0.677150\pi\) |
0.999458 | + | 0.0329283i | \(0.0104833\pi\) | |||||||
\(360\) | 4.71446 | − | 3.77405i | 0.248474 | − | 0.198910i | ||||
\(361\) | 16.9945 | − | 8.49631i | 0.894447 | − | 0.447174i | ||||
\(362\) | −9.77233 | + | 2.23686i | −0.513622 | + | 0.117567i | ||||
\(363\) | 15.6067 | + | 9.01053i | 0.819139 | + | 0.472930i | ||||
\(364\) | −4.05743 | − | 0.298992i | −0.212667 | − | 0.0156715i | ||||
\(365\) | 22.6793 | − | 13.0939i | 1.18709 | − | 0.685366i | ||||
\(366\) | 4.64469 | + | 1.42954i | 0.242782 | + | 0.0747232i | ||||
\(367\) | 8.72640 | + | 15.1146i | 0.455514 | + | 0.788974i | 0.998718 | − | 0.0506272i | \(-0.0161220\pi\) |
−0.543203 | + | 0.839601i | \(0.682789\pi\) | |||||||
\(368\) | 3.01561 | − | 3.80080i | 0.157200 | − | 0.198131i | ||||
\(369\) | −3.63348 | −0.189151 | ||||||||
\(370\) | 36.1604 | − | 33.5938i | 1.87989 | − | 1.74646i | ||||
\(371\) | −0.183764 | + | 0.106096i | −0.00954053 | + | 0.00550823i | ||||
\(372\) | 9.80934 | + | 20.3047i | 0.508591 | + | 1.05275i | ||||
\(373\) | 25.7573i | 1.33366i | 0.745208 | + | 0.666832i | \(0.232350\pi\) | ||||
−0.745208 | + | 0.666832i | \(0.767650\pi\) | |||||||
\(374\) | −2.48576 | − | 2.67567i | −0.128535 | − | 0.138356i | ||||
\(375\) | 19.4334 | − | 33.6596i | 1.00354 | − | 1.73818i | ||||
\(376\) | 6.07569 | − | 15.5659i | 0.313330 | − | 0.802748i | ||||
\(377\) | −19.9648 | + | 34.5800i | −1.02824 | + | 1.78096i | ||||
\(378\) | 0.940495 | − | 3.05575i | 0.0483738 | − | 0.157171i | ||||
\(379\) | − | 13.0547i | − | 0.670575i | −0.942116 | − | 0.335288i | \(-0.891167\pi\) | ||
0.942116 | − | 0.335288i | \(-0.108833\pi\) | |||||||
\(380\) | 21.4766 | + | 26.4582i | 1.10172 | + | 1.35728i | ||||
\(381\) | − | 27.6716i | − | 1.41766i | ||||||
\(382\) | 14.7830 | + | 4.54989i | 0.756363 | + | 0.232793i | ||||
\(383\) | −8.34823 | + | 14.4596i | −0.426575 | + | 0.738849i | −0.996566 | − | 0.0828016i | \(-0.973613\pi\) |
0.569991 | + | 0.821651i | \(0.306947\pi\) | |||||||
\(384\) | −18.4044 | + | 10.7328i | −0.939196 | + | 0.547705i | ||||
\(385\) | −1.14362 | + | 1.98081i | −0.0582843 | + | 0.100951i | ||||
\(386\) | −4.75639 | + | 4.41879i | −0.242094 | + | 0.224910i | ||||
\(387\) | − | 1.83071i | − | 0.0930604i | ||||||
\(388\) | −3.70124 | + | 1.78809i | −0.187902 | + | 0.0907766i | ||||
\(389\) | −0.327382 | + | 0.189014i | −0.0165990 | + | 0.00958341i | −0.508277 | − | 0.861194i | \(-0.669717\pi\) |
0.491678 | + | 0.870777i | \(0.336384\pi\) | |||||||
\(390\) | 29.4598 | + | 31.7106i | 1.49176 | + | 1.60573i | ||||
\(391\) | −2.61916 | −0.132457 | ||||||||
\(392\) | −11.9502 | − | 14.9279i | −0.603576 | − | 0.753972i | ||||
\(393\) | −9.25488 | − | 16.0299i | −0.466847 | − | 0.808602i | ||||
\(394\) | −6.23807 | + | 20.2680i | −0.314270 | + | 1.02109i | ||||
\(395\) | −29.7535 | + | 17.1782i | −1.49706 | + | 0.864328i | ||||
\(396\) | 1.30295 | + | 0.0960142i | 0.0654756 | + | 0.00482490i | ||||
\(397\) | 9.22821 | + | 5.32791i | 0.463151 | + | 0.267400i | 0.713368 | − | 0.700790i | \(-0.247169\pi\) |
−0.250218 | + | 0.968190i | \(0.580502\pi\) | |||||||
\(398\) | −3.88922 | − | 16.9911i | −0.194949 | − | 0.851688i | ||||
\(399\) | −3.84625 | − | 1.15530i | −0.192553 | − | 0.0578374i | ||||
\(400\) | −25.5579 | + | 32.2126i | −1.27790 | + | 1.61063i | ||||
\(401\) | 11.7585 | − | 20.3664i | 0.587194 | − | 1.01705i | −0.407404 | − | 0.913248i | \(-0.633566\pi\) |
0.994598 | − | 0.103802i | \(-0.0331007\pi\) | |||||||
\(402\) | 19.3592 | + | 5.95835i | 0.965549 | + | 0.297176i | ||||
\(403\) | −21.5589 | + | 12.4471i | −1.07393 | + | 0.620032i | ||||
\(404\) | −10.5504 | − | 0.777462i | −0.524904 | − | 0.0386802i | ||||
\(405\) | −35.0046 | + | 20.2099i | −1.73939 | + | 1.00424i | ||||
\(406\) | 6.47732 | − | 1.48264i | 0.321464 | − | 0.0735822i | ||||
\(407\) | 10.6779 | 0.529285 | ||||||||
\(408\) | 10.7141 | + | 4.18192i | 0.530425 | + | 0.207036i | ||||
\(409\) | 2.74949 | + | 4.76225i | 0.135953 | + | 0.235478i | 0.925961 | − | 0.377619i | \(-0.123257\pi\) |
−0.790008 | + | 0.613097i | \(0.789924\pi\) | |||||||
\(410\) | 35.8469 | − | 8.20526i | 1.77035 | − | 0.405229i | ||||
\(411\) | − | 34.3519i | − | 1.69445i | ||||||
\(412\) | −5.48032 | − | 3.72645i | −0.269996 | − | 0.183589i | ||||
\(413\) | 4.26329 | + | 2.46141i | 0.209783 | + | 0.121118i | ||||
\(414\) | 0.686438 | − | 0.637715i | 0.0337366 | − | 0.0313420i | ||||
\(415\) | 2.88730 | − | 5.00095i | 0.141732 | − | 0.245487i | ||||
\(416\) | −13.3096 | − | 19.3918i | −0.652555 | − | 0.950763i | ||||
\(417\) | 40.1819 | 1.96772 | ||||||||
\(418\) | −0.491931 | + | 7.35592i | −0.0240612 | + | 0.359790i | ||||
\(419\) | 28.8551i | 1.40966i | 0.709375 | + | 0.704831i | \(0.248977\pi\) | ||||
−0.709375 | + | 0.704831i | \(0.751023\pi\) | |||||||
\(420\) | 0.529350 | − | 7.18346i | 0.0258296 | − | 0.350517i | ||||
\(421\) | 12.5239 | + | 7.23070i | 0.610379 | + | 0.352403i | 0.773114 | − | 0.634267i | \(-0.218698\pi\) |
−0.162735 | + | 0.986670i | \(0.552031\pi\) | |||||||
\(422\) | −22.2553 | − | 23.9556i | −1.08337 | − | 1.16614i | ||||
\(423\) | 1.61343 | − | 2.79454i | 0.0784474 | − | 0.135875i | ||||
\(424\) | −1.14273 | − | 0.446034i | −0.0554961 | − | 0.0216613i | ||||
\(425\) | 22.1979 | 1.07676 | ||||||||
\(426\) | −35.6312 | + | 8.15588i | −1.72634 | + | 0.395154i | ||||
\(427\) | 0.773178 | − | 0.446395i | 0.0374167 | − | 0.0216026i | ||||
\(428\) | 16.2337 | − | 23.8742i | 0.784688 | − | 1.15400i | ||||
\(429\) | 9.36393i | 0.452095i | ||||||||
\(430\) | 4.13419 | + | 18.0613i | 0.199368 | + | 0.870994i | ||||
\(431\) | 6.28107 | + | 10.8791i | 0.302549 | + | 0.524029i | 0.976713 | − | 0.214552i | \(-0.0688292\pi\) |
−0.674164 | + | 0.738582i | \(0.735496\pi\) | |||||||
\(432\) | 17.1888 | − | 6.79546i | 0.826996 | − | 0.326947i | ||||
\(433\) | −4.15773 | − | 7.20140i | −0.199808 | − | 0.346077i | 0.748658 | − | 0.662956i | \(-0.230698\pi\) |
−0.948466 | + | 0.316879i | \(0.897365\pi\) | |||||||
\(434\) | 3.95944 | + | 1.21863i | 0.190059 | + | 0.0584961i | ||||
\(435\) | −61.2221 | − | 35.3466i | −2.93537 | − | 1.69474i | ||||
\(436\) | 7.54054 | + | 15.6084i | 0.361126 | + | 0.747509i | ||||
\(437\) | 3.62476 | + | 3.84902i | 0.173396 | + | 0.184123i | ||||
\(438\) | −17.3918 | + | 3.98094i | −0.831013 | + | 0.190217i | ||||
\(439\) | 9.33720 | − | 16.1725i | 0.445640 | − | 0.771871i | −0.552457 | − | 0.833542i | \(-0.686309\pi\) |
0.998097 | + | 0.0616705i | \(0.0196428\pi\) | |||||||
\(440\) | −13.0714 | + | 1.99512i | −0.623152 | + | 0.0951134i | ||||
\(441\) | −1.84636 | − | 3.19798i | −0.0879217 | − | 0.152285i | ||||
\(442\) | −3.73492 | + | 12.1351i | −0.177652 | + | 0.577206i | ||||
\(443\) | −13.1120 | + | 7.57023i | −0.622971 | + | 0.359673i | −0.778025 | − | 0.628233i | \(-0.783778\pi\) |
0.155054 | + | 0.987906i | \(0.450445\pi\) | |||||||
\(444\) | −30.2785 | + | 14.6277i | −1.43695 | + | 0.694202i | ||||
\(445\) | 24.6511i | 1.16857i | ||||||||
\(446\) | −1.06647 | + | 0.990776i | −0.0504989 | + | 0.0469146i | ||||
\(447\) | −8.22357 | − | 14.2436i | −0.388962 | − | 0.673701i | ||||
\(448\) | −0.856724 | + | 3.81913i | −0.0404764 | + | 0.180437i | ||||
\(449\) | 19.2630 | 0.909076 | 0.454538 | − | 0.890727i | \(-0.349804\pi\) | ||||
0.454538 | + | 0.890727i | \(0.349804\pi\) | |||||||
\(450\) | −5.81770 | + | 5.40477i | −0.274249 | + | 0.254783i | ||||
\(451\) | 6.88984 | + | 3.97785i | 0.324430 | + | 0.187310i | ||||
\(452\) | −2.56658 | − | 1.74520i | −0.120722 | − | 0.0820872i | ||||
\(453\) | 24.6319 | + | 14.2212i | 1.15731 | + | 0.668172i | ||||
\(454\) | 4.50581 | − | 14.6398i | 0.211468 | − | 0.687078i | ||||
\(455\) | 7.95168 | 0.372781 | ||||||||
\(456\) | −8.68198 | − | 21.5325i | −0.406571 | − | 1.00835i | ||||
\(457\) | −22.0334 | −1.03068 | −0.515340 | − | 0.856986i | \(-0.672334\pi\) | ||||
−0.515340 | + | 0.856986i | \(0.672334\pi\) | |||||||
\(458\) | 3.30158 | − | 10.7271i | 0.154273 | − | 0.501245i | ||||
\(459\) | −8.64111 | − | 4.98895i | −0.403332 | − | 0.232864i | ||||
\(460\) | −5.33210 | + | 7.84167i | −0.248610 | + | 0.365620i | ||||
\(461\) | −10.2154 | − | 5.89784i | −0.475777 | − | 0.274690i | 0.242878 | − | 0.970057i | \(-0.421908\pi\) |
−0.718655 | + | 0.695367i | \(0.755242\pi\) | |||||||
\(462\) | 1.14165 | − | 1.06061i | 0.0531142 | − | 0.0493442i | ||||
\(463\) | 25.0641 | 1.16483 | 0.582413 | − | 0.812893i | \(-0.302109\pi\) | ||||
0.582413 | + | 0.812893i | \(0.302109\pi\) | |||||||
\(464\) | 30.0930 | + | 23.8762i | 1.39703 | + | 1.10843i | ||||
\(465\) | −22.0368 | − | 38.1689i | −1.02193 | − | 1.77004i | ||||
\(466\) | −17.8588 | + | 16.5913i | −0.827295 | + | 0.768575i | ||||
\(467\) | 31.3644i | 1.45137i | 0.688027 | + | 0.725685i | \(0.258477\pi\) | ||||
−0.688027 | + | 0.725685i | \(0.741523\pi\) | |||||||
\(468\) | −1.97580 | − | 4.08977i | −0.0913312 | − | 0.189050i | ||||
\(469\) | 3.22263 | − | 1.86058i | 0.148807 | − | 0.0859138i | ||||
\(470\) | −9.60689 | + | 31.2136i | −0.443133 | + | 1.43978i | ||||
\(471\) | −3.31092 | − | 5.73468i | −0.152559 | − | 0.264240i | ||||
\(472\) | 4.29409 | + | 28.1334i | 0.197651 | + | 1.29495i | ||||
\(473\) | −2.00422 | + | 3.47142i | −0.0921543 | + | 0.159616i | ||||
\(474\) | 22.8167 | − | 5.22268i | 1.04801 | − | 0.239886i | ||||
\(475\) | −30.7205 | − | 32.6212i | −1.40955 | − | 1.49676i | ||||
\(476\) | 1.90254 | − | 0.919131i | 0.0872029 | − | 0.0421283i | ||||
\(477\) | −0.205155 | − | 0.118446i | −0.00939340 | − | 0.00542328i | ||||
\(478\) | −3.38409 | − | 1.04155i | −0.154785 | − | 0.0476394i | ||||
\(479\) | 8.62337 | + | 14.9361i | 0.394012 | + | 0.682448i | 0.992975 | − | 0.118328i | \(-0.0377536\pi\) |
−0.598963 | + | 0.800777i | \(0.704420\pi\) | |||||||
\(480\) | 34.3322 | − | 23.5639i | 1.56704 | − | 1.07554i | ||||
\(481\) | −18.5611 | − | 32.1488i | −0.846314 | − | 1.46586i | ||||
\(482\) | 2.87850 | + | 12.5755i | 0.131112 | + | 0.572799i | ||||
\(483\) | − | 1.11754i | − | 0.0508497i | ||||||
\(484\) | 15.8271 | + | 10.7619i | 0.719413 | + | 0.489179i | ||||
\(485\) | 6.95760 | − | 4.01698i | 0.315929 | − | 0.182401i | ||||
\(486\) | 7.73330 | − | 1.77013i | 0.350790 | − | 0.0802948i | ||||
\(487\) | 11.4106 | 0.517062 | 0.258531 | − | 0.966003i | \(-0.416762\pi\) | ||||
0.258531 | + | 0.966003i | \(0.416762\pi\) | |||||||
\(488\) | 4.80801 | + | 1.87667i | 0.217649 | + | 0.0849529i | ||||
\(489\) | −20.7984 | + | 36.0240i | −0.940538 | + | 1.62906i | ||||
\(490\) | 25.4375 | + | 27.3809i | 1.14915 | + | 1.23694i | ||||
\(491\) | −11.9691 | − | 6.91038i | −0.540159 | − | 0.311861i | 0.204984 | − | 0.978765i | \(-0.434286\pi\) |
−0.745143 | + | 0.666904i | \(0.767619\pi\) | |||||||
\(492\) | −24.9862 | − | 1.84123i | −1.12647 | − | 0.0830092i | ||||
\(493\) | − | 20.7373i | − | 0.933961i | ||||||
\(494\) | 23.0021 | − | 11.3055i | 1.03491 | − | 0.508658i | ||||
\(495\) | −2.55349 | −0.114771 | ||||||||
\(496\) | 8.80510 | + | 22.2721i | 0.395361 | + | 1.00005i | ||||
\(497\) | −3.35759 | + | 5.81552i | −0.150609 | + | 0.260862i | ||||
\(498\) | −2.88232 | + | 2.67773i | −0.129160 | + | 0.119992i | ||||
\(499\) | 6.98310 | + | 4.03170i | 0.312607 | + | 0.180484i | 0.648092 | − | 0.761562i | \(-0.275567\pi\) |
−0.335486 | + | 0.942045i | \(0.608900\pi\) | |||||||
\(500\) | 23.2107 | − | 34.1350i | 1.03802 | − | 1.52656i | ||||
\(501\) | − | 24.0885i | − | 1.07619i | ||||||
\(502\) | 15.4336 | − | 3.53271i | 0.688836 | − | 0.157673i | ||||
\(503\) | −3.74154 | − | 6.48053i | −0.166827 | − | 0.288953i | 0.770476 | − | 0.637469i | \(-0.220019\pi\) |
−0.937303 | + | 0.348517i | \(0.886685\pi\) | |||||||
\(504\) | −0.274833 | + | 0.704121i | −0.0122420 | + | 0.0313640i | ||||
\(505\) | 20.6766 | 0.920094 | ||||||||
\(506\) | −1.99979 | + | 0.457746i | −0.0889014 | + | 0.0203493i | ||||
\(507\) | 6.99163 | − | 4.03662i | 0.310509 | − | 0.179273i | ||||
\(508\) | 2.15980 | − | 29.3093i | 0.0958258 | − | 1.30039i | ||||
\(509\) | −3.71493 | + | 2.14482i | −0.164661 | + | 0.0950673i | −0.580066 | − | 0.814569i | \(-0.696973\pi\) |
0.415405 | + | 0.909637i | \(0.363640\pi\) | |||||||
\(510\) | −21.4845 | − | 6.61247i | −0.951349 | − | 0.292805i | ||||
\(511\) | −1.63886 | + | 2.83860i | −0.0724991 | + | 0.125572i | ||||
\(512\) | −20.3314 | + | 9.93152i | −0.898528 | + | 0.438916i | ||||
\(513\) | 4.62719 | + | 19.6030i | 0.204295 | + | 0.865494i | ||||
\(514\) | 3.97265 | + | 17.3556i | 0.175226 | + | 0.765523i | ||||
\(515\) | 11.2175 | + | 6.47641i | 0.494301 | + | 0.285385i | ||||
\(516\) | 0.927698 | − | 12.5892i | 0.0408396 | − | 0.554209i | ||||
\(517\) | −6.11879 | + | 3.53269i | −0.269104 | + | 0.155367i | ||||
\(518\) | −1.81723 | + | 5.90433i | −0.0798444 | + | 0.259421i | ||||
\(519\) | 5.65738 | + | 9.79887i | 0.248331 | + | 0.430123i | ||||
\(520\) | 28.7284 | + | 35.8868i | 1.25982 | + | 1.57374i | ||||
\(521\) | −39.3980 | −1.72606 | −0.863028 | − | 0.505156i | \(-0.831435\pi\) | ||||
−0.863028 | + | 0.505156i | \(0.831435\pi\) | |||||||
\(522\) | 5.04913 | + | 5.43489i | 0.220994 | + | 0.237879i | ||||
\(523\) | −18.2456 | + | 10.5341i | −0.797825 | + | 0.460624i | −0.842710 | − | 0.538368i | \(-0.819041\pi\) |
0.0448854 | + | 0.998992i | \(0.485708\pi\) | |||||||
\(524\) | −8.55147 | − | 17.7010i | −0.373573 | − | 0.773272i | ||||
\(525\) | 9.47134i | 0.413363i | ||||||||
\(526\) | −4.32122 | + | 4.01451i | −0.188414 | + | 0.175041i | ||||
\(527\) | 6.46434 | − | 11.1966i | 0.281591 | − | 0.487730i | ||||
\(528\) | 8.91128 | + | 1.32051i | 0.387814 | + | 0.0574680i | ||||
\(529\) | 10.7644 | − | 18.6444i | 0.468016 | − | 0.810628i | ||||
\(530\) | 2.29148 | + | 0.705270i | 0.0995357 | + | 0.0306350i | ||||
\(531\) | 5.49588i | 0.238501i | ||||||||
\(532\) | −3.98372 | − | 1.52388i | −0.172716 | − | 0.0660687i | ||||
\(533\) | − | 27.6583i | − | 1.19801i | ||||||
\(534\) | 4.94034 | − | 16.0516i | 0.213790 | − | 0.694621i | ||||
\(535\) | −28.2136 | + | 48.8673i | −1.21978 | + | 2.11272i | ||||
\(536\) | 20.0399 | + | 7.82201i | 0.865593 | + | 0.337859i | ||||
\(537\) | 4.37148 | − | 7.57162i | 0.188643 | − | 0.326739i | ||||
\(538\) | −10.3994 | − | 11.1940i | −0.448351 | − | 0.482606i | ||||
\(539\) | 8.08540i | 0.348263i | ||||||||
\(540\) | −32.5283 | + | 15.7146i | −1.39979 | + | 0.676250i | ||||
\(541\) | 19.5856 | − | 11.3077i | 0.842050 | − | 0.486158i | −0.0159104 | − | 0.999873i | \(-0.505065\pi\) |
0.857961 | + | 0.513716i | \(0.171731\pi\) | |||||||
\(542\) | 1.30121 | − | 1.20885i | 0.0558916 | − | 0.0519244i | ||||
\(543\) | −13.3492 | −0.572868 | ||||||||
\(544\) | 11.0218 | + | 5.26568i | 0.472554 | + | 0.225764i | ||||
\(545\) | −16.9399 | − | 29.3408i | −0.725628 | − | 1.25682i | ||||
\(546\) | −5.17775 | − | 1.59360i | −0.221587 | − | 0.0681999i | ||||
\(547\) | 9.70216 | − | 5.60155i | 0.414834 | − | 0.239505i | −0.278030 | − | 0.960572i | \(-0.589682\pi\) |
0.692865 | + | 0.721067i | \(0.256348\pi\) | |||||||
\(548\) | 2.68121 | − | 36.3850i | 0.114536 | − | 1.55429i | ||||
\(549\) | 0.863181 | + | 0.498358i | 0.0368397 | + | 0.0212694i | ||||
\(550\) | 16.9486 | − | 3.87949i | 0.722691 | − | 0.165422i | ||||
\(551\) | −30.4747 | + | 28.6991i | −1.29827 | + | 1.22262i | ||||
\(552\) | 5.04356 | − | 4.03751i | 0.214668 | − | 0.171848i | ||||
\(553\) | 2.15006 | − | 3.72402i | 0.0914300 | − | 0.158361i | ||||
\(554\) | 3.76753 | − | 12.2410i | 0.160067 | − | 0.520071i | ||||
\(555\) | 56.9177 | − | 32.8614i | 2.41602 | − | 1.39489i | ||||
\(556\) | 42.5601 | + | 3.13625i | 1.80495 | + | 0.133007i | ||||
\(557\) | −21.9660 | + | 12.6821i | −0.930730 | + | 0.537357i | −0.887042 | − | 0.461688i | \(-0.847244\pi\) |
−0.0436877 | + | 0.999045i | \(0.513911\pi\) | |||||||
\(558\) | 1.03195 | + | 4.50837i | 0.0436861 | + | 0.190855i | ||||
\(559\) | 13.9355 | 0.589410 | ||||||||
\(560\) | 1.12136 | − | 7.56730i | 0.0473860 | − | 0.319777i | ||||
\(561\) | −2.43156 | − | 4.21159i | −0.102661 | − | 0.177814i | ||||
\(562\) | 0.0614788 | + | 0.268587i | 0.00259333 | + | 0.0113296i | ||||
\(563\) | − | 22.4078i | − | 0.944377i | −0.881498 | − | 0.472189i | \(-0.843464\pi\) | ||
0.881498 | − | 0.472189i | \(-0.156536\pi\) | |||||||
\(564\) | 12.5111 | − | 18.3995i | 0.526812 | − | 0.774758i | ||||
\(565\) | 5.25345 | + | 3.03308i | 0.221014 | + | 0.127603i | ||||
\(566\) | 21.9098 | + | 23.5838i | 0.920938 | + | 0.991299i | ||||
\(567\) | 2.52952 | − | 4.38126i | 0.106230 | − | 0.183996i | ||||
\(568\) | −38.3766 | + | 5.85753i | −1.61025 | + | 0.245776i | ||||
\(569\) | 1.05189 | 0.0440977 | 0.0220489 | − | 0.999757i | \(-0.492981\pi\) | ||||
0.0220489 | + | 0.999757i | \(0.492981\pi\) | |||||||
\(570\) | 20.0157 | + | 40.7240i | 0.838367 | + | 1.70574i | ||||
\(571\) | − | 2.94384i | − | 0.123196i | −0.998101 | − | 0.0615980i | \(-0.980380\pi\) | ||
0.998101 | − | 0.0615980i | \(-0.0196197\pi\) | |||||||
\(572\) | −0.730867 | + | 9.91813i | −0.0305591 | + | 0.414698i | ||||
\(573\) | 17.8366 | + | 10.2980i | 0.745136 | + | 0.430205i | ||||
\(574\) | −3.37209 | + | 3.13274i | −0.140748 | + | 0.130758i | ||||
\(575\) | 6.23458 | − | 10.7986i | 0.260000 | − | 0.450333i | ||||
\(576\) | −4.17070 | + | 1.30354i | −0.173779 | + | 0.0543142i | ||||
\(577\) | −9.49207 | −0.395160 | −0.197580 | − | 0.980287i | \(-0.563308\pi\) | ||||
−0.197580 | + | 0.980287i | \(0.563308\pi\) | |||||||
\(578\) | 3.89302 | + | 17.0077i | 0.161928 | + | 0.707427i | ||||
\(579\) | −7.48671 | + | 4.32245i | −0.311137 | + | 0.179635i | ||||
\(580\) | −62.0867 | − | 42.2170i | −2.57801 | − | 1.75297i | ||||
\(581\) | 0.722764i | 0.0299853i | ||||||||
\(582\) | −5.33550 | + | 1.22128i | −0.221164 | + | 0.0506238i | ||||
\(583\) | 0.259345 | + | 0.449198i | 0.0107410 | + | 0.0186039i | ||||
\(584\) | −18.7319 | + | 2.85910i | −0.775131 | + | 0.118310i | ||||
\(585\) | 4.43866 | + | 7.68798i | 0.183516 | + | 0.317859i | ||||
\(586\) | −2.51329 | + | 8.16590i | −0.103823 | + | 0.337330i | ||||
\(587\) | 31.4850 | + | 18.1779i | 1.29952 | + | 0.750281i | 0.980322 | − | 0.197406i | \(-0.0632516\pi\) |
0.319203 | + | 0.947686i | \(0.396585\pi\) | |||||||
\(588\) | −11.0762 | − | 22.9271i | −0.456776 | − | 0.945497i | ||||
\(589\) | −25.4003 | + | 5.99560i | −1.04660 | + | 0.247044i | ||||
\(590\) | −12.4110 | − | 54.2209i | −0.510953 | − | 2.23224i | ||||
\(591\) | −14.1189 | + | 24.4547i | −0.580776 | + | 1.00593i | ||||
\(592\) | −33.2122 | + | 13.1302i | −1.36501 | + | 0.539648i | ||||
\(593\) | −10.8381 | − | 18.7722i | −0.445069 | − | 0.770883i | 0.552988 | − | 0.833189i | \(-0.313488\pi\) |
−0.998057 | + | 0.0623068i | \(0.980154\pi\) | |||||||
\(594\) | −7.46958 | − | 2.29898i | −0.306481 | − | 0.0943282i | ||||
\(595\) | −3.57641 | + | 2.06484i | −0.146619 | + | 0.0846503i | ||||
\(596\) | −7.59855 | − | 15.7285i | −0.311249 | − | 0.644265i | ||||
\(597\) | − | 23.2102i | − | 0.949929i | ||||||
\(598\) | 4.85434 | + | 5.22521i | 0.198509 | + | 0.213675i | ||||
\(599\) | 18.4914 | + | 32.0280i | 0.755537 | + | 1.30863i | 0.945107 | + | 0.326761i | \(0.105957\pi\) |
−0.189570 | + | 0.981867i | \(0.560709\pi\) | |||||||
\(600\) | −42.7452 | + | 34.2187i | −1.74506 | + | 1.39697i | ||||
\(601\) | 7.60104 | 0.310053 | 0.155026 | − | 0.987910i | \(-0.450454\pi\) | ||||
0.155026 | + | 0.987910i | \(0.450454\pi\) | |||||||
\(602\) | −1.57842 | − | 1.69901i | −0.0643316 | − | 0.0692467i | ||||
\(603\) | 3.59776 | + | 2.07717i | 0.146512 | + | 0.0845889i | ||||
\(604\) | 24.9798 | + | 16.9855i | 1.01641 | + | 0.691129i | ||||
\(605\) | −32.3959 | − | 18.7038i | −1.31708 | − | 0.760418i | ||||
\(606\) | −13.4636 | − | 4.14380i | −0.546920 | − | 0.168330i | ||||
\(607\) | 11.7787 | 0.478082 | 0.239041 | − | 0.971009i | \(-0.423167\pi\) | ||||
0.239041 | + | 0.971009i | \(0.423167\pi\) | |||||||
\(608\) | −7.51519 | − | 23.4845i | −0.304781 | − | 0.952422i | ||||
\(609\) | 8.84813 | 0.358544 | ||||||||
\(610\) | −9.64133 | − | 2.96740i | −0.390366 | − | 0.120146i | ||||
\(611\) | 21.2722 | + | 12.2815i | 0.860581 | + | 0.496857i | ||||
\(612\) | 1.95065 | + | 1.32639i | 0.0788506 | + | 0.0536160i | ||||
\(613\) | −39.9556 | − | 23.0684i | −1.61379 | − | 0.931723i | −0.988481 | − | 0.151347i | \(-0.951639\pi\) |
−0.625311 | − | 0.780376i | \(-0.715028\pi\) | |||||||
\(614\) | −6.85928 | − | 7.38334i | −0.276818 | − | 0.297967i | ||||
\(615\) | 48.9675 | 1.97456 | ||||||||
\(616\) | 1.29200 | − | 1.03428i | 0.0520561 | − | 0.0416723i | ||||
\(617\) | 6.93405 | + | 12.0101i | 0.279154 | + | 0.483510i | 0.971175 | − | 0.238368i | \(-0.0766126\pi\) |
−0.692020 | + | 0.721878i | \(0.743279\pi\) | |||||||
\(618\) | −6.00634 | − | 6.46523i | −0.241610 | − | 0.260070i | ||||
\(619\) | 37.5313i | 1.50851i | 0.656581 | + | 0.754255i | \(0.272002\pi\) | ||||
−0.656581 | + | 0.754255i | \(0.727998\pi\) | |||||||
\(620\) | −20.3620 | − | 42.1480i | −0.817756 | − | 1.69270i | ||||
\(621\) | −4.85394 | + | 2.80242i | −0.194782 | + | 0.112457i | ||||
\(622\) | −28.1101 | − | 8.65169i | −1.12711 | − | 0.346901i | ||||
\(623\) | −1.54270 | − | 2.67203i | −0.0618068 | − | 0.107053i | ||||
\(624\) | −11.5144 | − | 29.1252i | −0.460946 | − | 1.16594i | ||||
\(625\) | −14.6393 | + | 25.3560i | −0.585571 | + | 1.01424i | ||||
\(626\) | 4.05233 | + | 17.7037i | 0.161964 | + | 0.707583i | ||||
\(627\) | −2.82406 | + | 9.40190i | −0.112782 | + | 0.375476i | ||||
\(628\) | −3.05928 | − | 6.33251i | −0.122078 | − | 0.252695i | ||||
\(629\) | 16.6964 | + | 9.63966i | 0.665728 | + | 0.384358i | ||||
\(630\) | 0.434567 | − | 1.41195i | 0.0173136 | − | 0.0562533i | ||||
\(631\) | −10.0514 | − | 17.4096i | −0.400141 | − | 0.693064i | 0.593602 | − | 0.804759i | \(-0.297706\pi\) |
−0.993743 | + | 0.111695i | \(0.964372\pi\) | |||||||
\(632\) | 24.5748 | − | 3.75091i | 0.977532 | − | 0.149203i | ||||
\(633\) | −21.7701 | − | 37.7069i | −0.865283 | − | 1.49871i | ||||
\(634\) | −36.3757 | + | 8.32631i | −1.44466 | + | 0.330680i | ||||
\(635\) | 57.4399i | 2.27943i | ||||||||
\(636\) | −1.35076 | − | 0.918475i | −0.0535611 | − | 0.0364199i | ||||
\(637\) | 24.3433 | − | 14.0546i | 0.964516 | − | 0.556863i | ||||
\(638\) | −3.62422 | − | 15.8334i | −0.143484 | − | 0.626850i | ||||
\(639\) | −7.49688 | −0.296572 | ||||||||
\(640\) | 38.2033 | − | 22.2788i | 1.51012 | − | 0.880648i | ||||
\(641\) | 6.69127 | − | 11.5896i | 0.264289 | − | 0.457763i | −0.703088 | − | 0.711103i | \(-0.748196\pi\) |
0.967377 | + | 0.253340i | \(0.0815293\pi\) | |||||||
\(642\) | 28.1648 | − | 26.1657i | 1.11158 | − | 1.03268i | ||||
\(643\) | 17.6624 | + | 10.1974i | 0.696536 | + | 0.402145i | 0.806056 | − | 0.591839i | \(-0.201598\pi\) |
−0.109520 | + | 0.993985i | \(0.534931\pi\) | |||||||
\(644\) | 0.0872252 | − | 1.18368i | 0.00343716 | − | 0.0466434i | ||||
\(645\) | 24.6721i | 0.971463i | ||||||||
\(646\) | −7.40987 | + | 11.0579i | −0.291537 | + | 0.435066i | ||||
\(647\) | 24.2724 | 0.954245 | 0.477122 | − | 0.878837i | \(-0.341680\pi\) | ||||
0.477122 | + | 0.878837i | \(0.341680\pi\) | |||||||
\(648\) | 28.9119 | − | 4.41290i | 1.13577 | − | 0.173355i | ||||
\(649\) | 6.01677 | − | 10.4213i | 0.236179 | − | 0.409074i | ||||
\(650\) | −41.1415 | − | 44.2847i | −1.61370 | − | 1.73699i | ||||
\(651\) | 4.77732 | + | 2.75819i | 0.187238 | + | 0.108102i | ||||
\(652\) | −24.8411 | + | 36.5327i | −0.972853 | + | 1.43073i | ||||
\(653\) | − | 1.03991i | − | 0.0406947i | −0.999793 | − | 0.0203474i | \(-0.993523\pi\) | ||
0.999793 | − | 0.0203474i | \(-0.00647721\pi\) | |||||||
\(654\) | 5.15026 | + | 22.5003i | 0.201391 | + | 0.879831i | ||||
\(655\) | 19.2110 | + | 33.2745i | 0.750636 | + | 1.30014i | ||||
\(656\) | −26.3213 | − | 3.90042i | −1.02767 | − | 0.152286i | ||||
\(657\) | −3.65928 | −0.142762 | ||||||||
\(658\) | −0.912059 | − | 3.98458i | −0.0355558 | − | 0.155335i | ||||
\(659\) | 2.36159 | − | 1.36347i | 0.0919946 | − | 0.0531131i | −0.453297 | − | 0.891360i | \(-0.649752\pi\) |
0.545292 | + | 0.838246i | \(0.316419\pi\) | |||||||
\(660\) | −17.5595 | − | 1.29396i | −0.683503 | − | 0.0503674i | ||||
\(661\) | 31.5724 | − | 18.2284i | 1.22803 | − | 0.709001i | 0.261409 | − | 0.965228i | \(-0.415813\pi\) |
0.966617 | + | 0.256227i | \(0.0824795\pi\) | |||||||
\(662\) | −2.17438 | + | 7.06475i | −0.0845096 | + | 0.274579i | ||||
\(663\) | −8.45342 | + | 14.6418i | −0.328304 | + | 0.568639i | ||||
\(664\) | −3.26191 | + | 2.61125i | −0.126587 | + | 0.101336i | ||||
\(665\) | 7.98393 | + | 2.39814i | 0.309604 | + | 0.0929959i | ||||
\(666\) | −6.72290 | + | 1.53885i | −0.260507 | + | 0.0596294i | ||||
\(667\) | −10.0881 | − | 5.82434i | −0.390611 | − | 0.225519i | ||||
\(668\) | 1.88014 | − | 25.5142i | 0.0727448 | − | 0.987173i | ||||
\(669\) | −1.67866 | + | 0.969176i | −0.0649008 | + | 0.0374705i | ||||
\(670\) | −40.1853 | − | 12.3682i | −1.55249 | − | 0.477825i | ||||
\(671\) | −1.09118 | − | 1.88998i | −0.0421246 | − | 0.0729620i | ||||
\(672\) | −2.24674 | + | 4.70273i | −0.0866700 | + | 0.181412i | ||||
\(673\) | −2.67705 | −0.103193 | −0.0515964 | − | 0.998668i | \(-0.516431\pi\) | ||||
−0.0515964 | + | 0.998668i | \(0.516431\pi\) | |||||||
\(674\) | −35.1231 | + | 32.6301i | −1.35289 | + | 1.25687i | ||||
\(675\) | 41.1381 | − | 23.7511i | 1.58341 | − | 0.914180i | ||||
\(676\) | 7.72050 | − | 3.72982i | 0.296942 | − | 0.143455i | ||||
\(677\) | − | 0.404843i | − | 0.0155594i | −0.999970 | − | 0.00777969i | \(-0.997524\pi\) | ||
0.999970 | − | 0.00777969i | \(-0.00247638\pi\) | |||||||
\(678\) | −2.81293 | − | 3.02784i | −0.108030 | − | 0.116284i | ||||
\(679\) | −0.502775 | + | 0.870831i | −0.0192947 | + | 0.0334194i | ||||
\(680\) | −22.2399 | − | 8.68072i | −0.852862 | − | 0.332890i | ||||
\(681\) | 10.1982 | − | 17.6638i | 0.390796 | − | 0.676879i | ||||
\(682\) | 2.97886 | − | 9.67858i | 0.114067 | − | 0.370612i | ||||
\(683\) | − | 15.0013i | − | 0.574008i | −0.957929 | − | 0.287004i | \(-0.907341\pi\) | ||
0.957929 | − | 0.287004i | \(-0.0926593\pi\) | |||||||
\(684\) | −0.750379 | − | 4.70224i | −0.0286914 | − | 0.179795i | ||||
\(685\) | 71.3067i | 2.72449i | ||||||||
\(686\) | −9.09989 | − | 2.80075i | −0.347435 | − | 0.106933i | ||||
\(687\) | 7.47262 | − | 12.9430i | 0.285098 | − | 0.493805i | ||||
\(688\) | 1.96521 | − | 13.2619i | 0.0749229 | − | 0.505605i | ||||
\(689\) | 0.901621 | − | 1.56165i | 0.0343490 | − | 0.0594943i | ||||
\(690\) | −9.25096 | + | 8.59434i | −0.352178 | + | 0.327181i | ||||
\(691\) | − | 31.7559i | − | 1.20805i | −0.796965 | − | 0.604025i | \(-0.793563\pi\) | ||
0.796965 | − | 0.604025i | \(-0.206437\pi\) | |||||||
\(692\) | 5.22740 | + | 10.8204i | 0.198716 | + | 0.411329i | ||||
\(693\) | 0.276783 | − | 0.159801i | 0.0105141 | − | 0.00607033i | ||||
\(694\) | 14.6959 | + | 15.8186i | 0.557847 | + | 0.600467i | ||||
\(695\) | −83.4085 | −3.16386 | ||||||||
\(696\) | 31.9671 | + | 39.9325i | 1.21171 | + | 1.51364i | ||||
\(697\) | 7.18213 | + | 12.4398i | 0.272043 | + | 0.471191i | ||||
\(698\) | 11.5085 | − | 37.3922i | 0.435604 | − | 1.41531i | ||||
\(699\) | −28.1104 | + | 16.2295i | −1.06323 | + | 0.613858i | ||||
\(700\) | −0.739252 | + | 10.0319i | −0.0279411 | + | 0.379170i | ||||
\(701\) | −8.48325 | − | 4.89781i | −0.320408 | − | 0.184988i | 0.331166 | − | 0.943572i | \(-0.392558\pi\) |
−0.651574 | + | 0.758585i | \(0.725891\pi\) | |||||||
\(702\) | 6.06244 | + | 26.4854i | 0.228812 | + | 0.999628i | ||||
\(703\) | −8.94067 | − | 37.8770i | −0.337204 | − | 1.42856i | ||||
\(704\) | 9.33562 | + | 2.09421i | 0.351850 | + | 0.0789284i | ||||
\(705\) | −21.7438 | + | 37.6613i | −0.818917 | + | 1.41841i | ||||
\(706\) | 18.4509 | + | 5.67880i | 0.694410 | + | 0.213725i | ||||
\(707\) | −2.24121 | + | 1.29396i | −0.0842894 | + | 0.0486645i | ||||
\(708\) | −2.78499 | + | 37.7933i | −0.104666 | + | 1.42036i | ||||
\(709\) | 6.34809 | − | 3.66507i | 0.238407 | − | 0.137645i | −0.376037 | − | 0.926605i | \(-0.622713\pi\) |
0.614445 | + | 0.788960i | \(0.289380\pi\) | |||||||
\(710\) | 73.9622 | − | 16.9297i | 2.77575 | − | 0.635362i | ||||
\(711\) | 4.80069 | 0.180040 | ||||||||
\(712\) | 6.48559 | − | 16.6160i | 0.243058 | − | 0.622712i | ||||
\(713\) | −3.63119 | − | 6.28940i | −0.135989 | − | 0.235540i | ||||
\(714\) | 2.74260 | − | 0.627774i | 0.102639 | − | 0.0234939i | ||||
\(715\) | − | 19.4374i | − | 0.726917i | ||||||
\(716\) | 5.22118 | − | 7.67854i | 0.195125 | − | 0.286961i | ||||
\(717\) | −4.08312 | − | 2.35739i | −0.152487 | − | 0.0880384i | ||||
\(718\) | 18.5009 | − | 17.1877i | 0.690447 | − | 0.641440i | ||||
\(719\) | 9.42588 | − | 16.3261i | 0.351526 | − | 0.608861i | −0.634991 | − | 0.772520i | \(-0.718996\pi\) |
0.986517 | + | 0.163659i | \(0.0523295\pi\) | |||||||
\(720\) | 7.94229 | − | 3.13992i | 0.295992 | − | 0.117018i | ||||
\(721\) | −1.62121 | −0.0603769 | ||||||||
\(722\) | 26.5050 | − | 4.41415i | 0.986414 | − | 0.164278i | ||||
\(723\) | 17.1784i | 0.638871i | ||||||||
\(724\) | −14.1393 | − | 1.04192i | −0.525481 | − | 0.0387227i | ||||
\(725\) | 85.4983 | + | 49.3625i | 3.17533 | + | 1.83328i | ||||
\(726\) | 17.3462 | + | 18.6715i | 0.643779 | + | 0.692965i | ||||
\(727\) | −6.42156 | + | 11.1225i | −0.238162 | + | 0.412509i | −0.960187 | − | 0.279358i | \(-0.909878\pi\) |
0.722025 | + | 0.691867i | \(0.243212\pi\) | |||||||
\(728\) | −5.35982 | − | 2.09205i | −0.198648 | − | 0.0775366i | ||||
\(729\) | −20.4570 | −0.757667 | ||||||||
\(730\) | 36.1015 | − | 8.26353i | 1.33617 | − | 0.305847i | ||||
\(731\) | −6.26775 | + | 3.61869i | −0.231821 | + | 0.133842i | ||||
\(732\) | 5.68327 | + | 3.86445i | 0.210060 | + | 0.142834i | ||||
\(733\) | − | 11.3621i | − | 0.419668i | −0.977737 | − | 0.209834i | \(-0.932708\pi\) | ||
0.977737 | − | 0.209834i | \(-0.0672923\pi\) | |||||||
\(734\) | 5.50721 | + | 24.0597i | 0.203275 | + | 0.888061i | ||||
\(735\) | 24.8829 | + | 43.0985i | 0.917820 | + | 1.58971i | ||||
\(736\) | 5.65719 | − | 3.88281i | 0.208527 | − | 0.143122i | ||||
\(737\) | −4.54808 | − | 7.87750i | −0.167531 | − | 0.290172i | ||||
\(738\) | −4.91116 | − | 1.51155i | −0.180782 | − | 0.0556410i | ||||
\(739\) | −43.2806 | − | 24.9881i | −1.59210 | − | 0.919201i | −0.992946 | − | 0.118571i | \(-0.962169\pi\) |
−0.599158 | − | 0.800631i | \(-0.704498\pi\) | |||||||
\(740\) | 62.8512 | − | 30.3638i | 2.31046 | − | 1.11620i | ||||
\(741\) | 33.2159 | − | 7.84045i | 1.22022 | − | 0.288026i | ||||
\(742\) | −0.292519 | + | 0.0669569i | −0.0107387 | + | 0.00245807i | ||||
\(743\) | 16.6574 | − | 28.8515i | 0.611102 | − | 1.05846i | −0.379953 | − | 0.925006i | \(-0.624060\pi\) |
0.991055 | − | 0.133454i | \(-0.0426069\pi\) | |||||||
\(744\) | 4.81182 | + | 31.5255i | 0.176410 | + | 1.15578i | ||||
\(745\) | 17.0703 | + | 29.5666i | 0.625406 | + | 1.08324i | ||||
\(746\) | −10.7152 | + | 34.8147i | −0.392312 | + | 1.27466i | ||||
\(747\) | −0.698794 | + | 0.403449i | −0.0255676 | + | 0.0147614i | ||||
\(748\) | −2.24676 | − | 4.65064i | −0.0821495 | − | 0.170044i | ||||
\(749\) | − | 7.06256i | − | 0.258060i | ||||||
\(750\) | 40.2697 | − | 37.4114i | 1.47044 | − | 1.36607i | ||||
\(751\) | −3.06260 | − | 5.30457i | −0.111756 | − | 0.193567i | 0.804723 | − | 0.593651i | \(-0.202314\pi\) |
−0.916478 | + | 0.400085i | \(0.868981\pi\) | |||||||
\(752\) | 14.6877 | − | 18.5120i | 0.535604 | − | 0.675062i | ||||
\(753\) | 21.0826 | 0.768292 | ||||||||
\(754\) | −41.3708 | + | 38.4344i | −1.50664 | + | 1.39970i | ||||
\(755\) | −51.1302 | − | 29.5200i | −1.86082 | − | 1.07434i | ||||
\(756\) | 2.54243 | − | 3.73903i | 0.0924671 | − | 0.135987i | ||||
\(757\) | −17.9603 | − | 10.3694i | −0.652779 | − | 0.376882i | 0.136741 | − | 0.990607i | \(-0.456337\pi\) |
−0.789520 | + | 0.613725i | \(0.789671\pi\) | |||||||
\(758\) | 5.43085 | − | 17.6453i | 0.197257 | − | 0.640906i | ||||
\(759\) | −2.73174 | −0.0991561 | ||||||||
\(760\) | 18.0218 | + | 44.6965i | 0.653720 | + | 1.62131i | ||||
\(761\) | −10.5548 | −0.382612 | −0.191306 | − | 0.981530i | \(-0.561272\pi\) | ||||
−0.191306 | + | 0.981530i | \(0.561272\pi\) | |||||||
\(762\) | 11.5116 | − | 37.4021i | 0.417020 | − | 1.35493i | ||||
\(763\) | 3.67237 | + | 2.12025i | 0.132949 | + | 0.0767580i | ||||
\(764\) | 18.0885 | + | 12.2996i | 0.654420 | + | 0.444986i | ||||
\(765\) | −3.99273 | − | 2.30520i | −0.144357 | − | 0.0833448i | ||||
\(766\) | −17.2991 | + | 16.0712i | −0.625042 | + | 0.580678i | ||||
\(767\) | −41.8350 | −1.51058 | ||||||||
\(768\) | −29.3411 | + | 6.85054i | −1.05876 | + | 0.247198i | ||||
\(769\) | 16.3756 | + | 28.3633i | 0.590519 | + | 1.02281i | 0.994163 | + | 0.107892i | \(0.0344101\pi\) |
−0.403644 | + | 0.914916i | \(0.632257\pi\) | |||||||
\(770\) | −2.36980 | + | 2.20159i | −0.0854016 | + | 0.0793399i | ||||
\(771\) | 23.7081i | 0.853825i | ||||||||
\(772\) | −8.26719 | + | 3.99393i | −0.297543 | + | 0.143745i | ||||
\(773\) | 4.46602 | − | 2.57846i | 0.160632 | − | 0.0927407i | −0.417529 | − | 0.908663i | \(-0.637104\pi\) |
0.578161 | + | 0.815923i | \(0.303771\pi\) | |||||||
\(774\) | 0.761590 | − | 2.47447i | 0.0273748 | − | 0.0889430i | ||||
\(775\) | 30.7751 | + | 53.3040i | 1.10547 | + | 1.91474i | ||||
\(776\) | −5.74661 | + | 0.877121i | −0.206291 | + | 0.0314868i | ||||
\(777\) | −4.11302 | + | 7.12396i | −0.147554 | + | 0.255571i | ||||
\(778\) | −0.521135 | + | 0.119287i | −0.0186836 | + | 0.00427663i | ||||
\(779\) | 8.34144 | − | 27.7705i | 0.298863 | − | 0.994981i | ||||
\(780\) | 26.6273 | + | 55.1169i | 0.953411 | + | 1.97350i | ||||
\(781\) | 14.2157 | + | 8.20742i | 0.508677 | + | 0.293685i | ||||
\(782\) | −3.54017 | − | 1.08959i | −0.126596 | − | 0.0389637i | ||||
\(783\) | −22.1883 | − | 38.4312i | −0.792944 | − | 1.37342i | ||||
\(784\) | −9.94228 | − | 25.1485i | −0.355081 | − | 0.898162i | ||||
\(785\) | 6.87271 | + | 11.9039i | 0.245298 | + | 0.424868i | ||||
\(786\) | −5.84073 | − | 25.5168i | −0.208332 | − | 0.910154i | ||||
\(787\) | − | 26.8237i | − | 0.956160i | −0.878316 | − | 0.478080i | \(-0.841333\pi\) | ||
0.878316 | − | 0.478080i | \(-0.158667\pi\) | |||||||
\(788\) | −16.8633 | + | 24.8001i | −0.600730 | + | 0.883466i | ||||
\(789\) | −6.80175 | + | 3.92699i | −0.242149 | + | 0.139805i | ||||
\(790\) | −47.3623 | + | 10.8411i | −1.68507 | + | 0.385709i | ||||
\(791\) | −0.759256 | −0.0269960 | ||||||||
\(792\) | 1.72118 | + | 0.671812i | 0.0611594 | + | 0.0238718i | ||||
\(793\) | −3.79354 | + | 6.57060i | −0.134712 | + | 0.233329i | ||||
\(794\) | 10.2568 | + | 11.0404i | 0.364000 | + | 0.391810i | ||||
\(795\) | 2.76482 | + | 1.59627i | 0.0980582 | + | 0.0566139i | ||||
\(796\) | 1.81158 | − | 24.5839i | 0.0642099 | − | 0.871352i | ||||
\(797\) | − | 9.72241i | − | 0.344385i | −0.985063 | − | 0.172193i | \(-0.944915\pi\) | ||
0.985063 | − | 0.172193i | \(-0.0550852\pi\) | |||||||
\(798\) | −4.71814 | − | 3.16162i | −0.167020 | − | 0.111920i | ||||
\(799\) | −12.7567 | −0.451301 | ||||||||
\(800\) | −47.9459 | + | 32.9076i | −1.69514 | + | 1.16346i | ||||
\(801\) | 1.72228 | − | 2.98307i | 0.0608536 | − | 0.105402i | ||||
\(802\) | 24.3659 | − | 22.6365i | 0.860391 | − | 0.799321i | ||||
\(803\) | 6.93876 | + | 4.00610i | 0.244864 | + | 0.141372i | ||||
\(804\) | 23.6880 | + | 16.1071i | 0.835412 | + | 0.568055i | ||||
\(805\) | 2.31975i | 0.0817605i | ||||||||
\(806\) | −34.3180 | + | 7.85531i | −1.20880 | + | 0.276691i | ||||
\(807\) | −10.1727 | − | 17.6197i | −0.358096 | − | 0.620241i | ||||
\(808\) | −13.9370 | − | 5.43990i | −0.490302 | − | 0.191375i | ||||
\(809\) | −29.8008 | −1.04774 | −0.523869 | − | 0.851799i | \(-0.675512\pi\) | ||||
−0.523869 | + | 0.851799i | \(0.675512\pi\) | |||||||
\(810\) | −55.7211 | + | 12.7544i | −1.95784 | + | 0.448145i | ||||
\(811\) | −5.19792 | + | 3.00102i | −0.182524 | + | 0.105380i | −0.588478 | − | 0.808513i | \(-0.700273\pi\) |
0.405954 | + | 0.913893i | \(0.366939\pi\) | |||||||
\(812\) | 9.37181 | + | 0.690609i | 0.328886 | + | 0.0242356i | ||||
\(813\) | 2.04814 | − | 1.18249i | 0.0718314 | − | 0.0414719i | ||||
\(814\) | 14.4327 | + | 4.44209i | 0.505867 | + | 0.155695i | ||||
\(815\) | 43.1728 | − | 74.7775i | 1.51228 | − | 2.61934i | ||||
\(816\) | 12.7419 | + | 10.1096i | 0.446054 | + | 0.353906i | ||||
\(817\) | 13.9920 | + | 4.20280i | 0.489520 | + | 0.147037i | ||||
\(818\) | 1.73519 | + | 7.58067i | 0.0606696 | + | 0.265052i | ||||
\(819\) | −0.962247 | − | 0.555553i | −0.0336236 | − | 0.0194126i | ||||
\(820\) | 51.8657 | + | 3.82198i | 1.81123 | + | 0.133469i | ||||
\(821\) | −38.6024 | + | 22.2871i | −1.34723 | + | 0.777826i | −0.987857 | − | 0.155367i | \(-0.950344\pi\) |
−0.359377 | + | 0.933193i | \(0.617011\pi\) | |||||||
\(822\) | 14.2906 | − | 46.4315i | 0.498443 | − | 1.61948i | ||||
\(823\) | 6.40581 | + | 11.0952i | 0.223292 | + | 0.386754i | 0.955806 | − | 0.293999i | \(-0.0949862\pi\) |
−0.732513 | + | 0.680753i | \(0.761653\pi\) | |||||||
\(824\) | −5.85720 | − | 7.31668i | −0.204045 | − | 0.254889i | ||||
\(825\) | 23.1521 | 0.806052 | ||||||||
\(826\) | 4.73849 | + | 5.10051i | 0.164873 | + | 0.177470i | ||||
\(827\) | −29.3556 | + | 16.9485i | −1.02079 | + | 0.589356i | −0.914334 | − | 0.404961i | \(-0.867285\pi\) |
−0.106460 | + | 0.994317i | \(0.533952\pi\) | |||||||
\(828\) | 1.19311 | − | 0.576400i | 0.0414635 | − | 0.0200313i | ||||
\(829\) | 36.0492i | 1.25204i | 0.779808 | + | 0.626019i | \(0.215317\pi\) | ||||
−0.779808 | + | 0.626019i | \(0.784683\pi\) | |||||||
\(830\) | 5.98303 | − | 5.55837i | 0.207674 | − | 0.192934i | ||||
\(831\) | 8.52723 | − | 14.7696i | 0.295806 | − | 0.512351i | ||||
\(832\) | −9.92265 | − | 31.7477i | −0.344006 | − | 1.10065i | ||||
\(833\) | −7.29921 | + | 12.6426i | −0.252903 | + | 0.438040i | ||||
\(834\) | 54.3116 | + | 16.7160i | 1.88066 | + | 0.578826i | ||||
\(835\) | 50.0022i | 1.73040i | ||||||||
\(836\) | −3.72503 | + | 9.73794i | −0.128833 | + | 0.336794i | ||||
\(837\) | − | 27.6666i | − | 0.956296i | ||||||
\(838\) | −12.0039 | + | 39.0017i | −0.414668 | + | 1.34729i | ||||
\(839\) | 20.1187 | − | 34.8467i | 0.694576 | − | 1.20304i | −0.275747 | − | 0.961230i | \(-0.588925\pi\) |
0.970323 | − | 0.241811i | \(-0.0777413\pi\) | |||||||
\(840\) | 3.70386 | − | 9.48926i | 0.127795 | − | 0.327411i | ||||
\(841\) | 31.6144 | − | 54.7578i | 1.09015 | − | 1.88820i | ||||
\(842\) | 13.9199 | + | 14.9834i | 0.479710 | + | 0.516361i | ||||
\(843\) | 0.366894i | 0.0126365i | ||||||||
\(844\) | −20.1155 | − | 41.6378i | −0.692403 | − | 1.43323i | ||||
\(845\) | −14.5130 | + | 8.37911i | −0.499264 | + | 0.288250i | ||||
\(846\) | 3.34332 | − | 3.10602i | 0.114946 | − | 0.106787i | ||||
\(847\) | 4.68203 | 0.160876 | ||||||||
\(848\) | −1.35902 | − | 1.07826i | −0.0466688 | − | 0.0370277i | ||||
\(849\) | 21.4322 | + | 37.1216i | 0.735550 | + | 1.27401i | ||||
\(850\) | 30.0037 | + | 9.23450i | 1.02912 | + | 0.316741i | ||||
\(851\) | 9.37879 | − | 5.41485i | 0.321501 | − | 0.185619i | ||||
\(852\) | −51.5535 | − | 3.79898i | −1.76619 | − | 0.130151i | ||||
\(853\) | 14.2070 | + | 8.20240i | 0.486437 | + | 0.280845i | 0.723095 | − | 0.690748i | \(-0.242719\pi\) |
−0.236658 | + | 0.971593i | \(0.576052\pi\) | |||||||
\(854\) | 1.23076 | − | 0.281719i | 0.0421159 | − | 0.00964021i | ||||
\(855\) | 2.13805 | + | 9.05781i | 0.0731197 | + | 0.309771i | ||||
\(856\) | 31.8741 | − | 25.5161i | 1.08943 | − | 0.872121i | ||||
\(857\) | −1.65316 | + | 2.86335i | −0.0564708 | + | 0.0978103i | −0.892879 | − | 0.450297i | \(-0.851318\pi\) |
0.836408 | + | 0.548107i | \(0.184651\pi\) | |||||||
\(858\) | −3.89546 | + | 12.6567i | −0.132989 | + | 0.432092i | ||||
\(859\) | 16.7788 | − | 9.68722i | 0.572484 | − | 0.330524i | −0.185657 | − | 0.982615i | \(-0.559441\pi\) |
0.758141 | + | 0.652091i | \(0.226108\pi\) | |||||||
\(860\) | −1.92569 | + | 26.1323i | −0.0656655 | + | 0.891104i | ||||
\(861\) | −5.30778 | + | 3.06445i | −0.180889 | + | 0.104436i | ||||
\(862\) | 3.96397 | + | 17.3177i | 0.135013 | + | 0.589842i | ||||
\(863\) | 10.9104 | 0.371395 | 0.185697 | − | 0.982607i | \(-0.440546\pi\) | ||||
0.185697 | + | 0.982607i | \(0.440546\pi\) | |||||||
\(864\) | 26.0601 | − | 2.03437i | 0.886581 | − | 0.0692107i | ||||
\(865\) | −11.7434 | − | 20.3402i | −0.399289 | − | 0.691588i | ||||
\(866\) | −2.62393 | − | 11.4634i | −0.0891648 | − | 0.389541i | ||||
\(867\) | 23.2328i | 0.789028i | ||||||||
\(868\) | 4.84478 | + | 3.29431i | 0.164443 | + | 0.111816i | ||||
\(869\) | −9.10312 | − | 5.25569i | −0.308802 | − | 0.178287i | ||||
\(870\) | −68.0459 | − | 73.2447i | −2.30697 | − | 2.48323i | ||||
\(871\) | −15.8116 | + | 27.3864i | −0.535754 | + | 0.927954i | ||||
\(872\) | 3.69890 | + | 24.2340i | 0.125260 | + | 0.820666i | ||||
\(873\) | −1.12260 | −0.0379943 | ||||||||
\(874\) | 3.29816 | + | 6.71042i | 0.111562 | + | 0.226983i | ||||
\(875\) | − | 10.0979i | − | 0.341373i | ||||||
\(876\) | −25.1636 | − | 1.85431i | −0.850200 | − | 0.0626513i | ||||
\(877\) | −44.7132 | − | 25.8152i | −1.50986 | − | 0.871716i | −0.999934 | − | 0.0114961i | \(-0.996341\pi\) |
−0.509923 | − | 0.860220i | \(-0.670326\pi\) | |||||||
\(878\) | 19.3484 | − | 17.9751i | 0.652978 | − | 0.606630i | ||||
\(879\) | −5.68846 | + | 9.85270i | −0.191867 | + | 0.332323i | ||||
\(880\) | −18.4978 | − | 2.74109i | −0.623560 | − | 0.0924021i | ||||
\(881\) | 49.1021 | 1.65429 | 0.827145 | − | 0.561988i | \(-0.189963\pi\) | ||||
0.827145 | + | 0.561988i | \(0.189963\pi\) | |||||||
\(882\) | −1.16523 | − | 5.09063i | −0.0392354 | − | 0.171410i | ||||
\(883\) | −4.71395 | + | 2.72160i | −0.158637 | + | 0.0915892i | −0.577217 | − | 0.816591i | \(-0.695861\pi\) |
0.418580 | + | 0.908180i | \(0.362528\pi\) | |||||||
\(884\) | −10.0965 | + | 14.8485i | −0.339584 | + | 0.499410i | ||||
\(885\) | − | 74.0667i | − | 2.48972i | ||||||
\(886\) | −20.8721 | + | 4.77756i | −0.701210 | + | 0.160505i | ||||
\(887\) | −21.5809 | − | 37.3792i | −0.724616 | − | 1.25507i | −0.959132 | − | 0.282959i | \(-0.908684\pi\) |
0.234516 | − | 0.972112i | \(-0.424649\pi\) | |||||||
\(888\) | −47.0109 | + | 7.17541i | −1.57758 | + | 0.240791i | ||||
\(889\) | −3.59466 | − | 6.22613i | −0.120561 | − | 0.208818i | ||||
\(890\) | −10.2550 | + | 33.3195i | −0.343749 | + | 1.11687i | ||||
\(891\) | −10.7097 | − | 6.18325i | −0.358789 | − | 0.207147i | ||||
\(892\) | −1.85366 | + | 0.895515i | −0.0620651 | + | 0.0299841i | ||||
\(893\) | 17.6545 | + | 18.7468i | 0.590786 | + | 0.627337i | ||||
\(894\) | −5.18988 | − | 22.6734i | −0.173575 | − | 0.758312i | ||||
\(895\) | −9.07419 | + | 15.7170i | −0.303317 | + | 0.525360i | ||||
\(896\) | −2.74677 | + | 4.80570i | −0.0917632 | + | 0.160547i | ||||
\(897\) | 4.74851 | + | 8.22465i | 0.158548 | + | 0.274613i | ||||
\(898\) | 26.0367 | + | 8.01353i | 0.868854 | + | 0.267415i | ||||
\(899\) | 49.7966 | − | 28.7501i | 1.66081 | − | 0.958868i | ||||
\(900\) | −10.1119 | + | 4.88511i | −0.337062 | + | 0.162837i | ||||
\(901\) | 0.936509i | 0.0311996i | ||||||||
\(902\) | 7.65779 | + | 8.24286i | 0.254977 | + | 0.274457i | ||||
\(903\) | −1.54401 | − | 2.67430i | −0.0513814 | − | 0.0889952i | ||||
\(904\) | −2.74309 | − | 3.42660i | −0.0912338 | − | 0.113967i | ||||
\(905\) | 27.7099 | 0.921107 | ||||||||
\(906\) | 27.3774 | + | 29.4691i | 0.909553 | + | 0.979044i | ||||
\(907\) | 8.20476 | + | 4.73702i | 0.272435 | + | 0.157290i | 0.629993 | − | 0.776600i | \(-0.283058\pi\) |
−0.357559 | + | 0.933891i | \(0.616391\pi\) | |||||||
\(908\) | 12.1805 | − | 17.9133i | 0.404224 | − | 0.594473i | ||||
\(909\) | −2.50210 | − | 1.44459i | −0.0829895 | − | 0.0479140i | ||||
\(910\) | 10.7478 | + | 3.30796i | 0.356287 | + | 0.109658i | ||||
\(911\) | −9.10534 | −0.301673 | −0.150837 | − | 0.988559i | \(-0.548197\pi\) | ||||
−0.150837 | + | 0.988559i | \(0.548197\pi\) | |||||||
\(912\) | −2.77728 | − | 32.7160i | −0.0919650 | − | 1.08333i | ||||
\(913\) | 1.76675 | 0.0584709 | ||||||||
\(914\) | −29.7813 | − | 9.16606i | −0.985078 | − | 0.303186i | ||||
\(915\) | −11.6329 | − | 6.71625i | −0.384571 | − | 0.222032i | ||||
\(916\) | 8.92510 | − | 13.1257i | 0.294894 | − | 0.433687i | ||||
\(917\) | −4.16471 | − | 2.40450i | −0.137531 | − | 0.0794035i | ||||
\(918\) | −9.60425 | − | 10.3380i | −0.316988 | − | 0.341206i | ||||
\(919\) | −43.9744 | −1.45058 | −0.725291 | − | 0.688442i | \(-0.758295\pi\) | ||||
−0.725291 | + | 0.688442i | \(0.758295\pi\) | |||||||
\(920\) | −10.4693 | + | 8.38094i | −0.345162 | + | 0.276312i | ||||
\(921\) | −6.70975 | − | 11.6216i | −0.221094 | − | 0.382945i | ||||
\(922\) | −11.3540 | − | 12.2214i | −0.373923 | − | 0.402491i | ||||
\(923\) | − | 57.0668i | − | 1.87838i | ||||||
\(924\) | 1.98432 | − | 0.958639i | 0.0652794 | − | 0.0315369i | ||||
\(925\) | −79.4871 | + | 45.8919i | −2.61352 | + | 1.50892i | ||||
\(926\) | 33.8776 | + | 10.4268i | 1.11329 | + | 0.342647i | ||||
\(927\) | −0.904963 | − | 1.56744i | −0.0297229 | − | 0.0514816i | ||||
\(928\) | 30.7423 | + | 44.7910i | 1.00916 | + | 1.47034i | ||||
\(929\) | −25.4485 | + | 44.0781i | −0.834939 | + | 1.44616i | 0.0591415 | + | 0.998250i | \(0.481164\pi\) |
−0.894080 | + | 0.447907i | \(0.852170\pi\) | |||||||
\(930\) | −13.9074 | − | 60.7582i | −0.456041 | − | 1.99234i | ||||
\(931\) | 28.6807 | − | 6.76993i | 0.939973 | − | 0.221876i | ||||
\(932\) | −31.0409 | + | 14.9960i | −1.01678 | + | 0.491212i | ||||
\(933\) | −33.9167 | − | 19.5818i | −1.11038 | − | 0.641079i | ||||
\(934\) | −13.0478 | + | 42.3935i | −0.426937 | + | 1.38716i | ||||
\(935\) | 5.04737 | + | 8.74230i | 0.165067 | + | 0.285904i | ||||
\(936\) | −0.969196 | − | 6.34986i | −0.0316792 | − | 0.207552i | ||||
\(937\) | 10.7225 | + | 18.5719i | 0.350288 | + | 0.606716i | 0.986300 | − | 0.164963i | \(-0.0527505\pi\) |
−0.636012 | + | 0.771679i | \(0.719417\pi\) | |||||||
\(938\) | 5.12986 | − | 1.17421i | 0.167496 | − | 0.0383393i | ||||
\(939\) | 24.1836i | 0.789202i | ||||||||
\(940\) | −25.9702 | + | 38.1931i | −0.847054 | + | 1.24572i | ||||
\(941\) | −29.0422 | + | 16.7675i | −0.946748 | + | 0.546605i | −0.892069 | − | 0.451899i | \(-0.850747\pi\) |
−0.0546785 | + | 0.998504i | \(0.517413\pi\) | |||||||
\(942\) | −2.08951 | − | 9.12860i | −0.0680800 | − | 0.297426i | ||||
\(943\) | 8.06878 | 0.262756 | ||||||||
\(944\) | −5.89964 | + | 39.8127i | −0.192017 | + | 1.29579i | ||||
\(945\) | −4.41863 | + | 7.65329i | −0.143738 | + | 0.248962i | ||||
\(946\) | −4.15313 | + | 3.85835i | −0.135030 | + | 0.125446i | ||||
\(947\) | −18.0649 | − | 10.4298i | −0.587030 | − | 0.338922i | 0.176892 | − | 0.984230i | \(-0.443396\pi\) |
−0.763922 | + | 0.645308i | \(0.776729\pi\) | |||||||
\(948\) | 33.0127 | + | 2.43271i | 1.07220 | + | 0.0790107i | ||||
\(949\) | − | 27.8547i | − | 0.904202i | ||||||
\(950\) | −27.9525 | − | 56.8722i | −0.906900 | − | 1.84518i | ||||
\(951\) | −49.6899 | −1.61130 | ||||||||
\(952\) | 2.95392 | − | 0.450865i | 0.0957372 | − | 0.0146126i | ||||
\(953\) | 11.0364 | − | 19.1156i | 0.357504 | − | 0.619215i | −0.630039 | − | 0.776563i | \(-0.716961\pi\) |
0.987543 | + | 0.157348i | \(0.0502945\pi\) | |||||||
\(954\) | −0.228022 | − | 0.245443i | −0.00738247 | − | 0.00794651i | ||||
\(955\) | −37.0248 | − | 21.3763i | −1.19809 | − | 0.691720i | ||||
\(956\) | −4.14078 | − | 2.81561i | −0.133923 | − | 0.0910632i | ||||
\(957\) | − | 21.6287i | − | 0.699156i | ||||||
\(958\) | 5.44219 | + | 23.7757i | 0.175829 | + | 0.768157i | ||||
\(959\) | −4.46246 | − | 7.72921i | −0.144100 | − | 0.249589i | ||||
\(960\) | 56.2076 | − | 17.5675i | 1.81409 | − | 0.566989i | ||||
\(961\) | 4.84848 | 0.156402 | ||||||||
\(962\) | −11.7139 | − | 51.1752i | −0.377670 | − | 1.64996i | ||||
\(963\) | 6.82834 | − | 3.94234i | 0.220040 | − | 0.127040i | ||||
\(964\) | −1.34080 | + | 18.1951i | −0.0431841 | + | 0.586024i | ||||
\(965\) | 15.5407 | − | 8.97243i | 0.500273 | − | 0.288833i | ||||
\(966\) | 0.464903 | − | 1.51051i | 0.0149580 | − | 0.0485999i | ||||
\(967\) | 14.5509 | − | 25.2029i | 0.467926 | − | 0.810471i | −0.531403 | − | 0.847119i | \(-0.678335\pi\) |
0.999328 | + | 0.0366485i | \(0.0116682\pi\) | |||||||
\(968\) | 16.9155 | + | 21.1305i | 0.543686 | + | 0.679159i | ||||
\(969\) | −12.9035 | + | 12.1517i | −0.414520 | + | 0.390368i | ||||
\(970\) | 11.0753 | − | 2.53510i | 0.355606 | − | 0.0813973i | ||||
\(971\) | 47.1524 | + | 27.2235i | 1.51319 | + | 0.873643i | 0.999881 | + | 0.0154408i | \(0.00491514\pi\) |
0.513312 | + | 0.858202i | \(0.328418\pi\) | |||||||
\(972\) | 11.1890 | + | 0.824521i | 0.358889 | + | 0.0264465i | ||||
\(973\) | 9.04097 | − | 5.21981i | 0.289840 | − | 0.167339i | ||||
\(974\) | 15.4230 | + | 4.74688i | 0.494185 | + | 0.152100i | ||||
\(975\) | −40.2445 | − | 69.7056i | −1.28886 | − | 2.23237i | ||||
\(976\) | 5.71801 | + | 4.53676i | 0.183029 | + | 0.145218i | ||||
\(977\) | −60.9156 | −1.94886 | −0.974431 | − | 0.224687i | \(-0.927864\pi\) | ||||
−0.974431 | + | 0.224687i | \(0.927864\pi\) | |||||||
\(978\) | −43.0983 | + | 40.0392i | −1.37813 | + | 1.28031i | ||||
\(979\) | −6.53160 | + | 3.77102i | −0.208751 | + | 0.120522i | ||||
\(980\) | 22.9917 | + | 47.5914i | 0.734443 | + | 1.52025i | ||||
\(981\) | 4.73411i | 0.151149i | ||||||||
\(982\) | −13.3032 | − | 14.3196i | −0.424523 | − | 0.456957i | ||||
\(983\) | −23.2627 | + | 40.2922i | −0.741965 | + | 1.28512i | 0.209634 | + | 0.977780i | \(0.432773\pi\) |
−0.951599 | + | 0.307342i | \(0.900561\pi\) | |||||||
\(984\) | −33.0065 | − | 12.8831i | −1.05221 | − | 0.410699i | ||||
\(985\) | 29.3077 | − | 50.7624i | 0.933821 | − | 1.61743i | ||||
\(986\) | 8.62686 | − | 28.0294i | 0.274735 | − | 0.892639i | ||||
\(987\) | − | 5.44300i | − | 0.173253i | ||||||
\(988\) | 35.7938 | − | 5.71194i | 1.13875 | − | 0.181721i | ||||
\(989\) | 4.06542i | 0.129273i | ||||||||
\(990\) | −3.45141 | − | 1.06227i | −0.109693 | − | 0.0337612i | ||||
\(991\) | 20.4460 | − | 35.4135i | 0.649489 | − | 1.12495i | −0.333756 | − | 0.942659i | \(-0.608316\pi\) |
0.983245 | − | 0.182288i | \(-0.0583505\pi\) | |||||||
\(992\) | 2.63600 | + | 33.7669i | 0.0836932 | + | 1.07210i | ||||
\(993\) | −4.92138 | + | 8.52408i | −0.156175 | + | 0.270503i | ||||
\(994\) | −6.95757 | + | 6.46373i | −0.220681 | + | 0.205017i | ||||
\(995\) | 48.1790i | 1.52738i | ||||||||
\(996\) | −5.00982 | + | 2.42028i | −0.158742 | + | 0.0766894i | ||||
\(997\) | 17.3447 | − | 10.0140i | 0.549313 | − | 0.317146i | −0.199532 | − | 0.979891i | \(-0.563942\pi\) |
0.748845 | + | 0.662745i | \(0.230609\pi\) | |||||||
\(998\) | 7.76145 | + | 8.35443i | 0.245684 | + | 0.264455i | ||||
\(999\) | 41.2565 | 1.30530 |
(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 | 152.2.p.a.125.17 | yes | 36 | |
4.3 | odd | 2 | 608.2.t.a.49.5 | 36 | |||
8.3 | odd | 2 | 608.2.t.a.49.14 | 36 | |||
8.5 | even | 2 | inner | 152.2.p.a.125.5 | yes | 36 | |
19.7 | even | 3 | inner | 152.2.p.a.45.5 | ✓ | 36 | |
76.7 | odd | 6 | 608.2.t.a.273.14 | 36 | |||
152.45 | even | 6 | inner | 152.2.p.a.45.17 | yes | 36 | |
152.83 | odd | 6 | 608.2.t.a.273.5 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
152.2.p.a.45.5 | ✓ | 36 | 19.7 | even | 3 | inner | |
152.2.p.a.45.17 | yes | 36 | 152.45 | even | 6 | inner | |
152.2.p.a.125.5 | yes | 36 | 8.5 | even | 2 | inner | |
152.2.p.a.125.17 | yes | 36 | 1.1 | even | 1 | trivial | |
608.2.t.a.49.5 | 36 | 4.3 | odd | 2 | |||
608.2.t.a.49.14 | 36 | 8.3 | odd | 2 | |||
608.2.t.a.273.5 | 36 | 152.83 | odd | 6 | |||
608.2.t.a.273.14 | 36 | 76.7 | odd | 6 |