Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [234,2,Mod(41,234)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(234, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("234.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 234 = 2 \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 234.z (of order \(12\), degree \(4\), 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: | \(1.86849940730\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.14 | ||
Character | \(\chi\) | \(=\) | 234.41 |
Dual form | 234.2.z.a.137.14 |
$q$-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 \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 1.61301 | + | 0.631032i | 0.931271 | + | 0.364327i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | −0.748082 | + | 0.200448i | −0.334552 | + | 0.0896431i | −0.422185 | − | 0.906510i | \(-0.638737\pi\) |
0.0876323 | + | 0.996153i | \(0.472070\pi\) | |||||||
\(6\) | 1.72137 | + | 0.192053i | 0.702746 | + | 0.0784054i | ||||
\(7\) | −0.456400 | − | 0.456400i | −0.172503 | − | 0.172503i | 0.615575 | − | 0.788078i | \(-0.288924\pi\) |
−0.788078 | + | 0.615575i | \(0.788924\pi\) | |||||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | 2.20360 | + | 2.03572i | 0.734532 | + | 0.678574i | ||||
\(10\) | −0.670712 | + | 0.387236i | −0.212098 | + | 0.122455i | ||||
\(11\) | 0.285599 | + | 1.06587i | 0.0861112 | + | 0.321371i | 0.995522 | − | 0.0945270i | \(-0.0301339\pi\) |
−0.909411 | + | 0.415898i | \(0.863467\pi\) | |||||||
\(12\) | 1.71242 | − | 0.260014i | 0.494334 | − | 0.0750597i | ||||
\(13\) | −1.23841 | − | 3.38620i | −0.343474 | − | 0.939162i | ||||
\(14\) | −0.558973 | − | 0.322723i | −0.149392 | − | 0.0862514i | ||||
\(15\) | −1.33315 | − | 0.148740i | −0.344218 | − | 0.0384044i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −1.49547 | + | 2.59023i | −0.362705 | + | 0.628223i | −0.988405 | − | 0.151840i | \(-0.951480\pi\) |
0.625700 | + | 0.780064i | \(0.284813\pi\) | |||||||
\(18\) | 2.65539 | + | 1.39602i | 0.625882 | + | 0.329046i | ||||
\(19\) | −0.360069 | − | 1.34379i | −0.0826054 | − | 0.308287i | 0.912245 | − | 0.409646i | \(-0.134348\pi\) |
−0.994850 | + | 0.101358i | \(0.967681\pi\) | |||||||
\(20\) | −0.547634 | + | 0.547634i | −0.122455 | + | 0.122455i | ||||
\(21\) | −0.448174 | − | 1.02418i | −0.0977995 | − | 0.223494i | ||||
\(22\) | 0.551734 | + | 0.955631i | 0.117630 | + | 0.203741i | ||||
\(23\) | −5.29497 | −1.10408 | −0.552039 | − | 0.833819i | \(-0.686150\pi\) | ||||
−0.552039 | + | 0.833819i | \(0.686150\pi\) | |||||||
\(24\) | 1.58678 | − | 0.694362i | 0.323899 | − | 0.141736i | ||||
\(25\) | −3.81068 | + | 2.20010i | −0.762136 | + | 0.440019i | ||||
\(26\) | −2.07263 | − | 2.95029i | −0.406476 | − | 0.578599i | ||||
\(27\) | 2.26981 | + | 4.67418i | 0.436826 | + | 0.899546i | ||||
\(28\) | −0.623453 | − | 0.167054i | −0.117822 | − | 0.0315702i | ||||
\(29\) | 0.786294 | + | 0.453967i | 0.146011 | + | 0.0842996i | 0.571226 | − | 0.820793i | \(-0.306468\pi\) |
−0.425215 | + | 0.905093i | \(0.639801\pi\) | |||||||
\(30\) | −1.32622 | + | 0.201374i | −0.242134 | + | 0.0367656i | ||||
\(31\) | −1.43905 | − | 5.37059i | −0.258460 | − | 0.964587i | −0.966133 | − | 0.258046i | \(-0.916921\pi\) |
0.707672 | − | 0.706541i | \(-0.249745\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −0.211925 | + | 1.89948i | −0.0368913 | + | 0.330657i | ||||
\(34\) | −0.774112 | + | 2.88903i | −0.132759 | + | 0.495464i | ||||
\(35\) | 0.432909 | + | 0.249940i | 0.0731749 | + | 0.0422476i | ||||
\(36\) | 2.92623 | + | 0.661189i | 0.487705 | + | 0.110198i | ||||
\(37\) | 1.88903 | − | 7.04995i | 0.310554 | − | 1.15900i | −0.617504 | − | 0.786568i | \(-0.711856\pi\) |
0.928058 | − | 0.372436i | \(-0.121477\pi\) | |||||||
\(38\) | −0.695599 | − | 1.20481i | −0.112841 | − | 0.195446i | ||||
\(39\) | 0.139227 | − | 6.24345i | 0.0222942 | − | 0.999751i | ||||
\(40\) | −0.387236 | + | 0.670712i | −0.0612273 | + | 0.106049i | ||||
\(41\) | 0.717671 | + | 0.717671i | 0.112081 | + | 0.112081i | 0.760923 | − | 0.648842i | \(-0.224746\pi\) |
−0.648842 | + | 0.760923i | \(0.724746\pi\) | |||||||
\(42\) | −0.697980 | − | 0.873286i | −0.107701 | − | 0.134751i | ||||
\(43\) | 6.49134i | 0.989920i | 0.868916 | + | 0.494960i | \(0.164817\pi\) | ||||
−0.868916 | + | 0.494960i | \(0.835183\pi\) | |||||||
\(44\) | 0.780270 | + | 0.780270i | 0.117630 | + | 0.117630i | ||||
\(45\) | −2.05653 | − | 1.08118i | −0.306569 | − | 0.161173i | ||||
\(46\) | −5.11455 | + | 1.37044i | −0.754099 | + | 0.202060i | ||||
\(47\) | 2.99897 | + | 0.803570i | 0.437444 | + | 0.117213i | 0.470818 | − | 0.882230i | \(-0.343959\pi\) |
−0.0333743 | + | 0.999443i | \(0.510625\pi\) | |||||||
\(48\) | 1.35299 | − | 1.08139i | 0.195288 | − | 0.156085i | ||||
\(49\) | − | 6.58340i | − | 0.940486i | ||||||
\(50\) | −3.11141 | + | 3.11141i | −0.440019 | + | 0.440019i | ||||
\(51\) | −4.04673 | + | 3.23437i | −0.566655 | + | 0.452903i | ||||
\(52\) | −2.76560 | − | 2.31333i | −0.383519 | − | 0.320801i | ||||
\(53\) | 10.8935i | 1.49634i | 0.663507 | + | 0.748170i | \(0.269067\pi\) | ||||
−0.663507 | + | 0.748170i | \(0.730933\pi\) | |||||||
\(54\) | 3.40224 | + | 3.92744i | 0.462986 | + | 0.534457i | ||||
\(55\) | −0.427302 | − | 0.740109i | −0.0576174 | − | 0.0997963i | ||||
\(56\) | −0.645446 | −0.0862514 | ||||||||
\(57\) | 0.267184 | − | 2.39477i | 0.0353894 | − | 0.317195i | ||||
\(58\) | 0.876997 | + | 0.234991i | 0.115155 | + | 0.0308558i | ||||
\(59\) | −9.75565 | − | 2.61402i | −1.27008 | − | 0.340316i | −0.440017 | − | 0.897989i | \(-0.645028\pi\) |
−0.830061 | + | 0.557673i | \(0.811694\pi\) | |||||||
\(60\) | −1.22891 | + | 0.537764i | −0.158652 | + | 0.0694250i | ||||
\(61\) | 10.8544 | 1.38977 | 0.694884 | − | 0.719122i | \(-0.255456\pi\) | ||||
0.694884 | + | 0.719122i | \(0.255456\pi\) | |||||||
\(62\) | −2.78002 | − | 4.81514i | −0.353063 | − | 0.611524i | ||||
\(63\) | −0.0766175 | − | 1.93482i | −0.00965290 | − | 0.243765i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.60519 | + | 2.28492i | 0.199100 | + | 0.283409i | ||||
\(66\) | 0.286917 | + | 1.88960i | 0.0353171 | + | 0.232594i | ||||
\(67\) | 0.762137 | − | 0.762137i | 0.0931098 | − | 0.0931098i | −0.659018 | − | 0.752127i | \(-0.729028\pi\) |
0.752127 | + | 0.659018i | \(0.229028\pi\) | |||||||
\(68\) | 2.99094i | 0.362705i | ||||||||
\(69\) | −8.54083 | − | 3.34130i | −1.02820 | − | 0.402245i | ||||
\(70\) | 0.482847 | + | 0.129378i | 0.0577112 | + | 0.0154637i | ||||
\(71\) | −1.68422 | + | 0.451285i | −0.199880 | + | 0.0535576i | −0.357370 | − | 0.933963i | \(-0.616326\pi\) |
0.157490 | + | 0.987521i | \(0.449660\pi\) | |||||||
\(72\) | 2.99765 | − | 0.118705i | 0.353277 | − | 0.0139895i | ||||
\(73\) | −2.70493 | − | 2.70493i | −0.316588 | − | 0.316588i | 0.530867 | − | 0.847455i | \(-0.321866\pi\) |
−0.847455 | + | 0.530867i | \(0.821866\pi\) | |||||||
\(74\) | − | 7.29864i | − | 0.848450i | ||||||
\(75\) | −7.53499 | + | 1.14411i | −0.870066 | + | 0.132111i | ||||
\(76\) | −0.983725 | − | 0.983725i | −0.112841 | − | 0.112841i | ||||
\(77\) | 0.356115 | − | 0.616809i | 0.0405830 | − | 0.0702919i | ||||
\(78\) | −1.48144 | − | 6.06674i | −0.167740 | − | 0.686923i | ||||
\(79\) | 3.01910 | + | 5.22924i | 0.339675 | + | 0.588335i | 0.984372 | − | 0.176104i | \(-0.0563494\pi\) |
−0.644696 | + | 0.764439i | \(0.723016\pi\) | |||||||
\(80\) | −0.200448 | + | 0.748082i | −0.0224108 | + | 0.0836381i | ||||
\(81\) | 0.711670 | + | 8.97182i | 0.0790745 | + | 0.996869i | ||||
\(82\) | 0.878964 | + | 0.507470i | 0.0970653 | + | 0.0560407i | ||||
\(83\) | −2.95813 | + | 11.0399i | −0.324697 | + | 1.21179i | 0.589919 | + | 0.807462i | \(0.299160\pi\) |
−0.914616 | + | 0.404323i | \(0.867507\pi\) | |||||||
\(84\) | −0.900220 | − | 0.662879i | −0.0982220 | − | 0.0723260i | ||||
\(85\) | 0.599528 | − | 2.23747i | 0.0650279 | − | 0.242688i | ||||
\(86\) | 1.68008 | + | 6.27015i | 0.181168 | + | 0.676128i | ||||
\(87\) | 0.981831 | + | 1.22843i | 0.105263 | + | 0.131702i | ||||
\(88\) | 0.955631 | + | 0.551734i | 0.101871 | + | 0.0588150i | ||||
\(89\) | 12.0109 | + | 3.21832i | 1.27316 | + | 0.341141i | 0.831239 | − | 0.555915i | \(-0.187632\pi\) |
0.441916 | + | 0.897056i | \(0.354299\pi\) | |||||||
\(90\) | −2.26628 | − | 0.512072i | −0.238887 | − | 0.0539771i | ||||
\(91\) | −0.980247 | + | 2.11067i | −0.102758 | + | 0.221258i | ||||
\(92\) | −4.58558 | + | 2.64748i | −0.478079 | + | 0.276019i | ||||
\(93\) | 1.06782 | − | 9.57090i | 0.110728 | − | 0.992456i | ||||
\(94\) | 3.10476 | 0.320231 | ||||||||
\(95\) | 0.538722 | + | 0.933093i | 0.0552717 | + | 0.0957333i | ||||
\(96\) | 1.02701 | − | 1.39472i | 0.104819 | − | 0.142348i | ||||
\(97\) | 9.31815 | − | 9.31815i | 0.946114 | − | 0.946114i | −0.0525063 | − | 0.998621i | \(-0.516721\pi\) |
0.998621 | + | 0.0525063i | \(0.0167210\pi\) | |||||||
\(98\) | −1.70391 | − | 6.35908i | −0.172121 | − | 0.642364i | ||||
\(99\) | −1.54047 | + | 2.93014i | −0.154823 | + | 0.294490i | ||||
\(100\) | −2.20010 | + | 3.81068i | −0.220010 | + | 0.381068i | ||||
\(101\) | 5.86656 | − | 10.1612i | 0.583745 | − | 1.01108i | −0.411286 | − | 0.911506i | \(-0.634920\pi\) |
0.995031 | − | 0.0995694i | \(-0.0317465\pi\) | |||||||
\(102\) | −3.07172 | + | 4.17154i | −0.304146 | + | 0.413044i | ||||
\(103\) | 4.05306 | + | 2.34003i | 0.399360 | + | 0.230570i | 0.686208 | − | 0.727406i | \(-0.259274\pi\) |
−0.286848 | + | 0.957976i | \(0.592607\pi\) | |||||||
\(104\) | −3.27009 | − | 1.51871i | −0.320659 | − | 0.148922i | ||||
\(105\) | 0.540565 | + | 0.676335i | 0.0527538 | + | 0.0660035i | ||||
\(106\) | 2.81945 | + | 10.5223i | 0.273849 | + | 1.02202i | ||||
\(107\) | −2.78643 | + | 1.60874i | −0.269374 | + | 0.155523i | −0.628603 | − | 0.777726i | \(-0.716373\pi\) |
0.359229 | + | 0.933249i | \(0.383040\pi\) | |||||||
\(108\) | 4.30281 | + | 2.91305i | 0.414038 | + | 0.280308i | ||||
\(109\) | −3.63346 | + | 3.63346i | −0.348023 | + | 0.348023i | −0.859373 | − | 0.511350i | \(-0.829146\pi\) |
0.511350 | + | 0.859373i | \(0.329146\pi\) | |||||||
\(110\) | −0.604297 | − | 0.604297i | −0.0576174 | − | 0.0576174i | ||||
\(111\) | 7.49576 | − | 10.1796i | 0.711466 | − | 0.966204i | ||||
\(112\) | −0.623453 | + | 0.167054i | −0.0589108 | + | 0.0157851i | ||||
\(113\) | 9.36902 | − | 5.40921i | 0.881363 | − | 0.508855i | 0.0102556 | − | 0.999947i | \(-0.496735\pi\) |
0.871108 | + | 0.491092i | \(0.163402\pi\) | |||||||
\(114\) | −0.361731 | − | 2.38232i | −0.0338792 | − | 0.223125i | ||||
\(115\) | 3.96107 | − | 1.06137i | 0.369372 | − | 0.0989729i | ||||
\(116\) | 0.907934 | 0.0842996 | ||||||||
\(117\) | 4.16439 | − | 9.98288i | 0.384998 | − | 0.922917i | ||||
\(118\) | −10.0998 | −0.929761 | ||||||||
\(119\) | 1.86471 | − | 0.499648i | 0.170938 | − | 0.0458027i | ||||
\(120\) | −1.04786 | + | 0.837506i | −0.0956557 | + | 0.0764535i | ||||
\(121\) | 8.47177 | − | 4.89118i | 0.770161 | − | 0.444653i | ||||
\(122\) | 10.4846 | − | 2.80934i | 0.949229 | − | 0.254345i | ||||
\(123\) | 0.704736 | + | 1.61048i | 0.0635439 | + | 0.145212i | ||||
\(124\) | −3.93155 | − | 3.93155i | −0.353063 | − | 0.353063i | ||||
\(125\) | 5.14787 | − | 5.14787i | 0.460439 | − | 0.460439i | ||||
\(126\) | −0.574776 | − | 1.84907i | −0.0512051 | − | 0.164728i | ||||
\(127\) | −5.39157 | + | 3.11283i | −0.478425 | + | 0.276219i | −0.719760 | − | 0.694223i | \(-0.755748\pi\) |
0.241335 | + | 0.970442i | \(0.422415\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | −4.09625 | + | 10.4706i | −0.360654 | + | 0.921884i | ||||
\(130\) | 2.14188 | + | 1.79160i | 0.187855 | + | 0.157134i | ||||
\(131\) | 4.68122 | + | 2.70270i | 0.409000 | + | 0.236136i | 0.690360 | − | 0.723466i | \(-0.257452\pi\) |
−0.281360 | + | 0.959602i | \(0.590785\pi\) | |||||||
\(132\) | 0.766207 | + | 1.75096i | 0.0666897 | + | 0.152401i | ||||
\(133\) | −0.448972 | + | 0.777642i | −0.0389308 | + | 0.0674301i | ||||
\(134\) | 0.538912 | − | 0.933423i | 0.0465549 | − | 0.0806355i | ||||
\(135\) | −2.63494 | − | 3.04169i | −0.226779 | − | 0.261787i | ||||
\(136\) | 0.774112 | + | 2.88903i | 0.0663796 | + | 0.247732i | ||||
\(137\) | 5.01444 | − | 5.01444i | 0.428413 | − | 0.428413i | −0.459675 | − | 0.888087i | \(-0.652034\pi\) |
0.888087 | + | 0.459675i | \(0.152034\pi\) | |||||||
\(138\) | −9.11460 | − | 1.01692i | −0.775886 | − | 0.0865656i | ||||
\(139\) | 10.3141 | + | 17.8645i | 0.874828 | + | 1.51525i | 0.856945 | + | 0.515407i | \(0.172359\pi\) |
0.0178829 | + | 0.999840i | \(0.494307\pi\) | |||||||
\(140\) | 0.499880 | 0.0422476 | ||||||||
\(141\) | 4.33028 | + | 3.18861i | 0.364675 | + | 0.268529i | ||||
\(142\) | −1.51003 | + | 0.871815i | −0.126719 | + | 0.0731611i | ||||
\(143\) | 3.25555 | − | 2.28708i | 0.272243 | − | 0.191255i | ||||
\(144\) | 2.86479 | − | 0.890509i | 0.238732 | − | 0.0742091i | ||||
\(145\) | −0.679209 | − | 0.181994i | −0.0564053 | − | 0.0151137i | ||||
\(146\) | −3.31285 | − | 1.91267i | −0.274173 | − | 0.158294i | ||||
\(147\) | 4.15434 | − | 10.6191i | 0.342644 | − | 0.875847i | ||||
\(148\) | −1.88903 | − | 7.04995i | −0.155277 | − | 0.579502i | ||||
\(149\) | 4.22688 | − | 15.7749i | 0.346280 | − | 1.29233i | −0.544831 | − | 0.838546i | \(-0.683406\pi\) |
0.891110 | − | 0.453787i | \(-0.149927\pi\) | |||||||
\(150\) | −6.98213 | + | 3.05533i | −0.570088 | + | 0.249467i | ||||
\(151\) | −4.19291 | + | 15.6482i | −0.341214 | + | 1.27343i | 0.555759 | + | 0.831344i | \(0.312428\pi\) |
−0.896973 | + | 0.442086i | \(0.854239\pi\) | |||||||
\(152\) | −1.20481 | − | 0.695599i | −0.0977232 | − | 0.0564205i | ||||
\(153\) | −8.56840 | + | 2.66346i | −0.692714 | + | 0.215328i | ||||
\(154\) | 0.184339 | − | 0.687961i | 0.0148544 | − | 0.0554375i | ||||
\(155\) | 2.15305 | + | 3.72919i | 0.172937 | + | 0.299536i | ||||
\(156\) | −3.00115 | − | 5.47660i | −0.240284 | − | 0.438479i | ||||
\(157\) | 7.67271 | − | 13.2895i | 0.612349 | − | 1.06062i | −0.378494 | − | 0.925604i | \(-0.623558\pi\) |
0.990843 | − | 0.135016i | \(-0.0431087\pi\) | |||||||
\(158\) | 4.26965 | + | 4.26965i | 0.339675 | + | 0.339675i | ||||
\(159\) | −6.87416 | + | 17.5713i | −0.545157 | + | 1.39350i | ||||
\(160\) | 0.774471i | 0.0612273i | ||||||||
\(161\) | 2.41662 | + | 2.41662i | 0.190456 | + | 0.190456i | ||||
\(162\) | 3.00950 | + | 8.48192i | 0.236449 | + | 0.666402i | ||||
\(163\) | −19.4221 | + | 5.20413i | −1.52125 | + | 0.407619i | −0.920155 | − | 0.391555i | \(-0.871937\pi\) |
−0.601100 | + | 0.799174i | \(0.705271\pi\) | |||||||
\(164\) | 0.980356 | + | 0.262686i | 0.0765530 | + | 0.0205123i | ||||
\(165\) | −0.222209 | − | 1.46344i | −0.0172990 | − | 0.113929i | ||||
\(166\) | 11.4293i | 0.887089i | ||||||||
\(167\) | 6.90323 | − | 6.90323i | 0.534188 | − | 0.534188i | −0.387628 | − | 0.921816i | \(-0.626705\pi\) |
0.921816 | + | 0.387628i | \(0.126705\pi\) | |||||||
\(168\) | −1.04111 | − | 0.407298i | −0.0803234 | − | 0.0314237i | ||||
\(169\) | −9.93266 | + | 8.38703i | −0.764051 | + | 0.645156i | ||||
\(170\) | − | 2.31640i | − | 0.177660i | ||||||
\(171\) | 1.94215 | − | 3.69418i | 0.148520 | − | 0.282501i | ||||
\(172\) | 3.24567 | + | 5.62166i | 0.247480 | + | 0.428648i | ||||
\(173\) | −7.16824 | −0.544991 | −0.272495 | − | 0.962157i | \(-0.587849\pi\) | ||||
−0.272495 | + | 0.962157i | \(0.587849\pi\) | |||||||
\(174\) | 1.26632 | + | 0.932456i | 0.0959993 | + | 0.0706893i | ||||
\(175\) | 2.74332 | + | 0.735069i | 0.207375 | + | 0.0555660i | ||||
\(176\) | 1.06587 | + | 0.285599i | 0.0803428 | + | 0.0215278i | ||||
\(177\) | −14.0864 | − | 10.3726i | −1.05880 | − | 0.779650i | ||||
\(178\) | 12.4346 | 0.932014 | ||||||||
\(179\) | −5.59035 | − | 9.68278i | −0.417843 | − | 0.723725i | 0.577879 | − | 0.816122i | \(-0.303880\pi\) |
−0.995722 | + | 0.0923973i | \(0.970547\pi\) | |||||||
\(180\) | −2.32159 | + | 0.0919334i | −0.173041 | + | 0.00685231i | ||||
\(181\) | 8.76194i | 0.651270i | 0.945496 | + | 0.325635i | \(0.105578\pi\) | ||||
−0.945496 | + | 0.325635i | \(0.894422\pi\) | |||||||
\(182\) | −0.400564 | + | 2.29246i | −0.0296918 | + | 0.169928i | ||||
\(183\) | 17.5083 | + | 6.84950i | 1.29425 | + | 0.506330i | ||||
\(184\) | −3.74411 | + | 3.74411i | −0.276019 | + | 0.276019i | ||||
\(185\) | 5.65259i | 0.415587i | ||||||||
\(186\) | −1.44569 | − | 9.52115i | −0.106003 | − | 0.698125i | ||||
\(187\) | −3.18795 | − | 0.854208i | −0.233126 | − | 0.0624659i | ||||
\(188\) | 2.99897 | − | 0.803570i | 0.218722 | − | 0.0586064i | ||||
\(189\) | 1.09735 | − | 3.16923i | 0.0798206 | − | 0.230528i | ||||
\(190\) | 0.761867 | + | 0.761867i | 0.0552717 | + | 0.0552717i | ||||
\(191\) | − | 24.3114i | − | 1.75911i | −0.475798 | − | 0.879555i | \(-0.657841\pi\) | ||
0.475798 | − | 0.879555i | \(-0.342159\pi\) | |||||||
\(192\) | 0.631032 | − | 1.61301i | 0.0455408 | − | 0.116409i | ||||
\(193\) | 6.98571 | + | 6.98571i | 0.502842 | + | 0.502842i | 0.912320 | − | 0.409478i | \(-0.134289\pi\) |
−0.409478 | + | 0.912320i | \(0.634289\pi\) | |||||||
\(194\) | 6.58892 | − | 11.4124i | 0.473057 | − | 0.819359i | ||||
\(195\) | 1.14733 | + | 4.69852i | 0.0821622 | + | 0.336468i | ||||
\(196\) | −3.29170 | − | 5.70139i | −0.235121 | − | 0.407242i | ||||
\(197\) | −7.01655 | + | 26.1861i | −0.499908 | + | 1.86568i | 0.000684309 | 1.00000i | \(0.499782\pi\) | |
−0.500593 | + | 0.865683i | \(0.666884\pi\) | |||||||
\(198\) | −0.729601 | + | 3.22900i | −0.0518505 | + | 0.229475i | ||||
\(199\) | 5.45399 | + | 3.14886i | 0.386623 | + | 0.223217i | 0.680696 | − | 0.732566i | \(-0.261677\pi\) |
−0.294073 | + | 0.955783i | \(0.595011\pi\) | |||||||
\(200\) | −1.13885 | + | 4.25026i | −0.0805291 | + | 0.300539i | ||||
\(201\) | 1.71027 | − | 0.748400i | 0.120633 | − | 0.0527881i | ||||
\(202\) | 3.03676 | − | 11.3333i | 0.213665 | − | 0.797410i | ||||
\(203\) | −0.151674 | − | 0.566055i | −0.0106454 | − | 0.0397292i | ||||
\(204\) | −1.88738 | + | 4.82441i | −0.132143 | + | 0.337777i | ||||
\(205\) | −0.680732 | − | 0.393021i | −0.0475444 | − | 0.0274498i | ||||
\(206\) | 4.52060 | + | 1.21129i | 0.314965 | + | 0.0843946i | ||||
\(207\) | −11.6680 | − | 10.7791i | −0.810980 | − | 0.749198i | ||||
\(208\) | −3.55174 | − | 0.620600i | −0.246269 | − | 0.0430309i | ||||
\(209\) | 1.32947 | − | 0.767571i | 0.0919615 | − | 0.0530940i | ||||
\(210\) | 0.697194 | + | 0.513381i | 0.0481110 | + | 0.0354266i | ||||
\(211\) | −21.9038 | −1.50792 | −0.753960 | − | 0.656921i | \(-0.771859\pi\) | ||||
−0.753960 | + | 0.656921i | \(0.771859\pi\) | |||||||
\(212\) | 5.44676 | + | 9.43406i | 0.374085 | + | 0.647934i | ||||
\(213\) | −3.00143 | − | 0.334870i | −0.205655 | − | 0.0229449i | ||||
\(214\) | −2.27511 | + | 2.27511i | −0.155523 | + | 0.155523i | ||||
\(215\) | −1.30118 | − | 4.85605i | −0.0887394 | − | 0.331180i | ||||
\(216\) | 4.91014 | + | 1.70014i | 0.334093 | + | 0.115680i | ||||
\(217\) | −1.79436 | + | 3.10792i | −0.121809 | + | 0.210979i | ||||
\(218\) | −2.56925 | + | 4.45007i | −0.174011 | + | 0.301396i | ||||
\(219\) | −2.65618 | − | 6.06997i | −0.179488 | − | 0.410171i | ||||
\(220\) | −0.740109 | − | 0.427302i | −0.0498982 | − | 0.0288087i | ||||
\(221\) | 10.6230 | + | 1.85618i | 0.714583 | + | 0.124860i | ||||
\(222\) | 4.60568 | − | 11.7728i | 0.309113 | − | 0.790137i | ||||
\(223\) | −1.22894 | − | 4.58647i | −0.0822959 | − | 0.307132i | 0.912493 | − | 0.409093i | \(-0.134155\pi\) |
−0.994788 | + | 0.101961i | \(0.967488\pi\) | |||||||
\(224\) | −0.558973 | + | 0.322723i | −0.0373480 | + | 0.0215629i | ||||
\(225\) | −12.8760 | − | 2.90936i | −0.858399 | − | 0.193957i | ||||
\(226\) | 7.64977 | − | 7.64977i | 0.508855 | − | 0.508855i | ||||
\(227\) | −6.54115 | − | 6.54115i | −0.434151 | − | 0.434151i | 0.455887 | − | 0.890038i | \(-0.349322\pi\) |
−0.890038 | + | 0.455887i | \(0.849322\pi\) | |||||||
\(228\) | −0.965995 | − | 2.20752i | −0.0639746 | − | 0.146197i | ||||
\(229\) | −18.4626 | + | 4.94704i | −1.22004 | + | 0.326910i | −0.810695 | − | 0.585469i | \(-0.800911\pi\) |
−0.409348 | + | 0.912378i | \(0.634244\pi\) | |||||||
\(230\) | 3.55140 | − | 2.05040i | 0.234172 | − | 0.135199i | ||||
\(231\) | 0.963643 | − | 0.770198i | 0.0634030 | − | 0.0506753i | ||||
\(232\) | 0.876997 | − | 0.234991i | 0.0575777 | − | 0.0154279i | ||||
\(233\) | −23.5311 | −1.54157 | −0.770786 | − | 0.637094i | \(-0.780136\pi\) | ||||
−0.770786 | + | 0.637094i | \(0.780136\pi\) | |||||||
\(234\) | 1.43873 | − | 10.7205i | 0.0940530 | − | 0.700824i | ||||
\(235\) | −2.40455 | −0.156855 | ||||||||
\(236\) | −9.75565 | + | 2.61402i | −0.635039 | + | 0.170158i | ||||
\(237\) | 1.57002 | + | 10.3400i | 0.101984 | + | 0.671652i | ||||
\(238\) | 1.67185 | − | 0.965246i | 0.108370 | − | 0.0625676i | ||||
\(239\) | −22.8065 | + | 6.11098i | −1.47523 | + | 0.395287i | −0.904721 | − | 0.426005i | \(-0.859921\pi\) |
−0.570509 | + | 0.821291i | \(0.693254\pi\) | |||||||
\(240\) | −0.795388 | + | 1.08017i | −0.0513421 | + | 0.0697249i | ||||
\(241\) | −7.79438 | − | 7.79438i | −0.502080 | − | 0.502080i | 0.410004 | − | 0.912084i | \(-0.365527\pi\) |
−0.912084 | + | 0.410004i | \(0.865527\pi\) | |||||||
\(242\) | 6.91717 | − | 6.91717i | 0.444653 | − | 0.444653i | ||||
\(243\) | −4.51358 | + | 14.9207i | −0.289546 | + | 0.957164i | ||||
\(244\) | 9.40022 | − | 5.42722i | 0.601787 | − | 0.347442i | ||||
\(245\) | 1.31963 | + | 4.92492i | 0.0843080 | + | 0.314642i | ||||
\(246\) | 1.09755 | + | 1.37321i | 0.0699770 | + | 0.0875525i | ||||
\(247\) | −4.10444 | + | 2.88344i | −0.261159 | + | 0.183469i | ||||
\(248\) | −4.81514 | − | 2.78002i | −0.305762 | − | 0.176532i | ||||
\(249\) | −11.7380 | + | 15.9408i | −0.743867 | + | 1.01021i | ||||
\(250\) | 3.64009 | − | 6.30482i | 0.230220 | − | 0.398752i | ||||
\(251\) | 4.48555 | − | 7.76920i | 0.283125 | − | 0.490387i | −0.689027 | − | 0.724735i | \(-0.741962\pi\) |
0.972153 | + | 0.234348i | \(0.0752954\pi\) | |||||||
\(252\) | −1.03376 | − | 1.63730i | −0.0651210 | − | 0.103140i | ||||
\(253\) | −1.51224 | − | 5.64374i | −0.0950734 | − | 0.354819i | ||||
\(254\) | −4.40220 | + | 4.40220i | −0.276219 | + | 0.276219i | ||||
\(255\) | 2.37896 | − | 3.23074i | 0.148976 | − | 0.202317i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 14.0952 | 0.879235 | 0.439617 | − | 0.898185i | \(-0.355114\pi\) | ||||
0.439617 | + | 0.898185i | \(0.355114\pi\) | |||||||
\(258\) | −1.24668 | + | 11.1740i | −0.0776150 | + | 0.695663i | ||||
\(259\) | −4.07974 | + | 2.35544i | −0.253503 | + | 0.146360i | ||||
\(260\) | 2.53259 | + | 1.17620i | 0.157065 | + | 0.0729448i | ||||
\(261\) | 0.808524 | + | 2.60104i | 0.0500464 | + | 0.161000i | ||||
\(262\) | 5.22122 | + | 1.39902i | 0.322568 | + | 0.0864319i | ||||
\(263\) | −16.6786 | − | 9.62939i | −1.02845 | − | 0.593774i | −0.111907 | − | 0.993719i | \(-0.535696\pi\) |
−0.916539 | + | 0.399945i | \(0.869029\pi\) | |||||||
\(264\) | 1.19328 | + | 1.49299i | 0.0734413 | + | 0.0918870i | ||||
\(265\) | −2.18358 | − | 8.14924i | −0.134136 | − | 0.500604i | ||||
\(266\) | −0.232405 | + | 0.867347i | −0.0142497 | + | 0.0531805i | ||||
\(267\) | 17.3429 | + | 12.7705i | 1.06137 | + | 0.781539i | ||||
\(268\) | 0.278961 | − | 1.04110i | 0.0170403 | − | 0.0635952i | ||||
\(269\) | −20.4816 | − | 11.8251i | −1.24879 | − | 0.720987i | −0.277918 | − | 0.960605i | \(-0.589644\pi\) |
−0.970867 | + | 0.239618i | \(0.922978\pi\) | |||||||
\(270\) | −3.33240 | − | 2.25607i | −0.202803 | − | 0.137300i | ||||
\(271\) | 6.89336 | − | 25.7264i | 0.418742 | − | 1.56276i | −0.358480 | − | 0.933537i | \(-0.616705\pi\) |
0.777221 | − | 0.629227i | \(-0.216629\pi\) | |||||||
\(272\) | 1.49547 | + | 2.59023i | 0.0906762 | + | 0.157056i | ||||
\(273\) | −2.91305 | + | 2.78596i | −0.176306 | + | 0.168614i | ||||
\(274\) | 3.54575 | − | 6.14141i | 0.214206 | − | 0.371016i | ||||
\(275\) | −3.43334 | − | 3.43334i | −0.207038 | − | 0.207038i | ||||
\(276\) | −9.06723 | + | 1.37677i | −0.545783 | + | 0.0828717i | ||||
\(277\) | 10.9761i | 0.659493i | 0.944070 | + | 0.329746i | \(0.106963\pi\) | ||||
−0.944070 | + | 0.329746i | \(0.893037\pi\) | |||||||
\(278\) | 14.5863 | + | 14.5863i | 0.874828 | + | 0.874828i | ||||
\(279\) | 7.76196 | − | 14.7641i | 0.464696 | − | 0.883905i | ||||
\(280\) | 0.482847 | − | 0.129378i | 0.0288556 | − | 0.00773184i | ||||
\(281\) | 30.2719 | + | 8.11132i | 1.80587 | + | 0.483881i | 0.994869 | − | 0.101167i | \(-0.0322576\pi\) |
0.810999 | + | 0.585048i | \(0.198924\pi\) | |||||||
\(282\) | 5.00800 | + | 1.95920i | 0.298222 | + | 0.116669i | ||||
\(283\) | 24.7434i | 1.47084i | 0.677611 | + | 0.735420i | \(0.263015\pi\) | ||||
−0.677611 | + | 0.735420i | \(0.736985\pi\) | |||||||
\(284\) | −1.23293 | + | 1.23293i | −0.0731611 | + | 0.0731611i | ||||
\(285\) | 0.280151 | + | 1.84504i | 0.0165947 | + | 0.109291i | ||||
\(286\) | 2.55268 | − | 3.05175i | 0.150943 | − | 0.180454i | ||||
\(287\) | − | 0.655089i | − | 0.0386687i | ||||||
\(288\) | 2.53669 | − | 1.60163i | 0.149476 | − | 0.0943768i | ||||
\(289\) | 4.02714 | + | 6.97521i | 0.236890 | + | 0.410306i | ||||
\(290\) | −0.703169 | −0.0412915 | ||||||||
\(291\) | 20.9103 | − | 9.15020i | 1.22578 | − | 0.536394i | ||||
\(292\) | −3.69500 | − | 0.990073i | −0.216234 | − | 0.0579396i | ||||
\(293\) | −21.5007 | − | 5.76109i | −1.25608 | − | 0.336566i | −0.431399 | − | 0.902161i | \(-0.641980\pi\) |
−0.824683 | + | 0.565595i | \(0.808647\pi\) | |||||||
\(294\) | 1.26436 | − | 11.3325i | 0.0737391 | − | 0.660923i | ||||
\(295\) | 7.82200 | 0.455415 | ||||||||
\(296\) | −3.64932 | − | 6.32081i | −0.212112 | − | 0.367390i | ||||
\(297\) | −4.33380 | + | 3.75426i | −0.251473 | + | 0.217844i | ||||
\(298\) | − | 16.3314i | − | 0.946053i | ||||||
\(299\) | 6.55736 | + | 17.9298i | 0.379222 | + | 1.03691i | ||||
\(300\) | −5.95344 | + | 4.75833i | −0.343722 | + | 0.274722i | ||||
\(301\) | 2.96264 | − | 2.96264i | 0.170764 | − | 0.170764i | ||||
\(302\) | 16.2002i | 0.932215i | ||||||||
\(303\) | 15.8749 | − | 12.6881i | 0.911987 | − | 0.728912i | ||||
\(304\) | −1.34379 | − | 0.360069i | −0.0770719 | − | 0.0206513i | ||||
\(305\) | −8.12001 | + | 2.17575i | −0.464950 | + | 0.124583i | ||||
\(306\) | −7.58709 | + | 4.79037i | −0.433725 | + | 0.273847i | ||||
\(307\) | 4.37539 | + | 4.37539i | 0.249716 | + | 0.249716i | 0.820854 | − | 0.571138i | \(-0.193498\pi\) |
−0.571138 | + | 0.820854i | \(0.693498\pi\) | |||||||
\(308\) | − | 0.712230i | − | 0.0405830i | ||||||
\(309\) | 5.06098 | + | 6.33211i | 0.287909 | + | 0.360221i | ||||
\(310\) | 3.04487 | + | 3.04487i | 0.172937 | + | 0.172937i | ||||
\(311\) | −6.01736 | + | 10.4224i | −0.341213 | + | 0.590999i | −0.984658 | − | 0.174494i | \(-0.944171\pi\) |
0.643445 | + | 0.765492i | \(0.277505\pi\) | |||||||
\(312\) | −4.31633 | − | 4.51323i | −0.244364 | − | 0.255511i | ||||
\(313\) | −12.1822 | − | 21.1002i | −0.688578 | − | 1.19265i | −0.972298 | − | 0.233745i | \(-0.924902\pi\) |
0.283719 | − | 0.958907i | \(-0.408432\pi\) | |||||||
\(314\) | 3.97169 | − | 14.8225i | 0.224135 | − | 0.836485i | ||||
\(315\) | 0.445148 | + | 1.43205i | 0.0250812 | + | 0.0806868i | ||||
\(316\) | 5.22924 | + | 3.01910i | 0.294168 | + | 0.169838i | ||||
\(317\) | −4.54488 | + | 16.9617i | −0.255266 | + | 0.952665i | 0.712677 | + | 0.701493i | \(0.247483\pi\) |
−0.967942 | + | 0.251172i | \(0.919184\pi\) | |||||||
\(318\) | −2.09213 | + | 18.7518i | −0.117321 | + | 1.05155i | ||||
\(319\) | −0.259305 | + | 0.967738i | −0.0145183 | + | 0.0541829i | ||||
\(320\) | 0.200448 | + | 0.748082i | 0.0112054 | + | 0.0418191i | ||||
\(321\) | −5.50970 | + | 0.836593i | −0.307521 | + | 0.0466941i | ||||
\(322\) | 2.95974 | + | 1.70881i | 0.164940 | + | 0.0952282i | ||||
\(323\) | 4.01921 | + | 1.07694i | 0.223635 | + | 0.0599227i | ||||
\(324\) | 5.10223 | + | 7.41399i | 0.283457 | + | 0.411888i | ||||
\(325\) | 12.1692 | + | 10.1791i | 0.675024 | + | 0.564634i | ||||
\(326\) | −17.4134 | + | 10.0536i | −0.964437 | + | 0.556818i | ||||
\(327\) | −8.15364 | + | 3.56798i | −0.450897 | + | 0.197309i | ||||
\(328\) | 1.01494 | 0.0560407 | ||||||||
\(329\) | −1.00198 | − | 1.73548i | −0.0552408 | − | 0.0956799i | ||||
\(330\) | −0.593405 | − | 1.35607i | −0.0326659 | − | 0.0746490i | ||||
\(331\) | 22.0364 | − | 22.0364i | 1.21123 | − | 1.21123i | 0.240607 | − | 0.970623i | \(-0.422653\pi\) |
0.970623 | − | 0.240607i | \(-0.0773465\pi\) | |||||||
\(332\) | 2.95813 | + | 11.0399i | 0.162348 | + | 0.605893i | ||||
\(333\) | 18.5144 | − | 11.6897i | 1.01458 | − | 0.640592i | ||||
\(334\) | 4.88132 | − | 8.45470i | 0.267094 | − | 0.462620i | ||||
\(335\) | −0.417372 | + | 0.722910i | −0.0228035 | + | 0.0394968i | ||||
\(336\) | −1.11105 | − | 0.123960i | −0.0606129 | − | 0.00676257i | ||||
\(337\) | 2.67699 | + | 1.54556i | 0.145825 | + | 0.0841921i | 0.571137 | − | 0.820855i | \(-0.306502\pi\) |
−0.425312 | + | 0.905047i | \(0.639836\pi\) | |||||||
\(338\) | −7.42349 | + | 10.6720i | −0.403785 | + | 0.580481i | ||||
\(339\) | 18.5257 | − | 2.81294i | 1.00618 | − | 0.152778i | ||||
\(340\) | −0.599528 | − | 2.23747i | −0.0325140 | − | 0.121344i | ||||
\(341\) | 5.31336 | − | 3.06767i | 0.287734 | − | 0.166123i | ||||
\(342\) | 0.919845 | − | 4.07097i | 0.0497395 | − | 0.220133i | ||||
\(343\) | −6.19946 | + | 6.19946i | −0.334739 | + | 0.334739i | ||||
\(344\) | 4.59007 | + | 4.59007i | 0.247480 | + | 0.247480i | ||||
\(345\) | 7.05900 | + | 0.787572i | 0.380044 | + | 0.0424014i | ||||
\(346\) | −6.92398 | + | 1.85528i | −0.372236 | + | 0.0997403i | ||||
\(347\) | −16.8787 | + | 9.74492i | −0.906096 | + | 0.523135i | −0.879173 | − | 0.476503i | \(-0.841904\pi\) |
−0.0269231 | + | 0.999638i | \(0.508571\pi\) | |||||||
\(348\) | 1.46451 | + | 0.572936i | 0.0785058 | + | 0.0307126i | ||||
\(349\) | −21.1940 | + | 5.67891i | −1.13449 | + | 0.303985i | −0.776733 | − | 0.629830i | \(-0.783125\pi\) |
−0.357755 | + | 0.933815i | \(0.616458\pi\) | |||||||
\(350\) | 2.84009 | 0.151809 | ||||||||
\(351\) | 13.0167 | − | 13.4746i | 0.694781 | − | 0.719221i | ||||
\(352\) | 1.10347 | 0.0588150 | ||||||||
\(353\) | 9.47129 | − | 2.53782i | 0.504106 | − | 0.135075i | 0.00220088 | − | 0.999998i | \(-0.499299\pi\) |
0.501905 | + | 0.864923i | \(0.332633\pi\) | |||||||
\(354\) | −16.2911 | − | 6.37330i | −0.865860 | − | 0.338737i | ||||
\(355\) | 1.16947 | − | 0.675196i | 0.0620692 | − | 0.0358357i | ||||
\(356\) | 12.0109 | − | 3.21832i | 0.636578 | − | 0.170570i | ||||
\(357\) | 3.32309 | + | 0.370757i | 0.175877 | + | 0.0196225i | ||||
\(358\) | −7.90596 | − | 7.90596i | −0.417843 | − | 0.417843i | ||||
\(359\) | 21.8739 | − | 21.8739i | 1.15446 | − | 1.15446i | 0.168810 | − | 0.985649i | \(-0.446008\pi\) |
0.985649 | − | 0.168810i | \(-0.0539923\pi\) | |||||||
\(360\) | −2.21869 | + | 0.689674i | −0.116935 | + | 0.0363490i | ||||
\(361\) | 14.7783 | − | 8.53228i | 0.777808 | − | 0.449068i | ||||
\(362\) | 2.26776 | + | 8.46338i | 0.119191 | + | 0.444826i | ||||
\(363\) | 16.7515 | − | 2.54355i | 0.879228 | − | 0.133502i | ||||
\(364\) | 0.206416 | + | 2.31802i | 0.0108192 | + | 0.121497i | ||||
\(365\) | 2.56571 | + | 1.48131i | 0.134295 | + | 0.0775354i | ||||
\(366\) | 18.6845 | + | 2.08463i | 0.976655 | + | 0.108965i | ||||
\(367\) | 10.9588 | − | 18.9812i | 0.572045 | − | 0.990811i | −0.424311 | − | 0.905516i | \(-0.639484\pi\) |
0.996356 | − | 0.0852940i | \(-0.0271830\pi\) | |||||||
\(368\) | −2.64748 | + | 4.58558i | −0.138010 | + | 0.239040i | ||||
\(369\) | 0.120478 | + | 3.04243i | 0.00627184 | + | 0.158383i | ||||
\(370\) | 1.46300 | + | 5.45998i | 0.0760576 | + | 0.283851i | ||||
\(371\) | 4.97180 | − | 4.97180i | 0.258123 | − | 0.258123i | ||||
\(372\) | −3.86069 | − | 8.82255i | −0.200167 | − | 0.457428i | ||||
\(373\) | −0.731744 | − | 1.26742i | −0.0378883 | − | 0.0656244i | 0.846459 | − | 0.532453i | \(-0.178730\pi\) |
−0.884348 | + | 0.466829i | \(0.845396\pi\) | |||||||
\(374\) | −3.30041 | −0.170660 | ||||||||
\(375\) | 11.5520 | − | 5.05508i | 0.596544 | − | 0.261043i | ||||
\(376\) | 2.68880 | − | 1.55238i | 0.138664 | − | 0.0800578i | ||||
\(377\) | 0.563464 | − | 3.22475i | 0.0290199 | − | 0.166083i | ||||
\(378\) | 0.239702 | − | 3.34526i | 0.0123289 | − | 0.172062i | ||||
\(379\) | 16.3714 | + | 4.38670i | 0.840942 | + | 0.225330i | 0.653481 | − | 0.756943i | \(-0.273308\pi\) |
0.187460 | + | 0.982272i | \(0.439974\pi\) | |||||||
\(380\) | 0.933093 | + | 0.538722i | 0.0478667 | + | 0.0276358i | ||||
\(381\) | −10.6609 | + | 1.61876i | −0.546177 | + | 0.0829315i | ||||
\(382\) | −6.29225 | − | 23.4830i | −0.321939 | − | 1.20149i | ||||
\(383\) | −2.34343 | + | 8.74581i | −0.119744 | + | 0.446890i | −0.999598 | − | 0.0283538i | \(-0.990974\pi\) |
0.879854 | + | 0.475244i | \(0.157640\pi\) | |||||||
\(384\) | 0.192053 | − | 1.72137i | 0.00980067 | − | 0.0878433i | ||||
\(385\) | −0.142765 | + | 0.532806i | −0.00727598 | + | 0.0271543i | ||||
\(386\) | 8.55571 | + | 4.93964i | 0.435474 | + | 0.251421i | ||||
\(387\) | −13.2146 | + | 14.3043i | −0.671734 | + | 0.727128i | ||||
\(388\) | 3.41068 | − | 12.7288i | 0.173151 | − | 0.646208i | ||||
\(389\) | 10.8255 | + | 18.7504i | 0.548876 | + | 0.950681i | 0.998352 | + | 0.0573883i | \(0.0182773\pi\) |
−0.449476 | + | 0.893292i | \(0.648389\pi\) | |||||||
\(390\) | 2.32430 | + | 4.24147i | 0.117696 | + | 0.214775i | ||||
\(391\) | 7.91847 | − | 13.7152i | 0.400454 | − | 0.693607i | ||||
\(392\) | −4.65517 | − | 4.65517i | −0.235121 | − | 0.235121i | ||||
\(393\) | 5.84536 | + | 7.31349i | 0.294859 | + | 0.368917i | ||||
\(394\) | 27.1099i | 1.36577i | ||||||||
\(395\) | −3.30673 | − | 3.30673i | −0.166379 | − | 0.166379i | ||||
\(396\) | 0.130987 | + | 3.30781i | 0.00658234 | + | 0.166224i | ||||
\(397\) | 11.6065 | − | 3.10995i | 0.582514 | − | 0.156084i | 0.0444843 | − | 0.999010i | \(-0.485836\pi\) |
0.538030 | + | 0.842926i | \(0.319169\pi\) | |||||||
\(398\) | 6.08314 | + | 1.62997i | 0.304920 | + | 0.0817031i | ||||
\(399\) | −1.21491 | + | 0.971028i | −0.0608217 | + | 0.0486122i | ||||
\(400\) | 4.40019i | 0.220010i | ||||||||
\(401\) | −11.2322 | + | 11.2322i | −0.560911 | + | 0.560911i | −0.929566 | − | 0.368655i | \(-0.879818\pi\) |
0.368655 | + | 0.929566i | \(0.379818\pi\) | |||||||
\(402\) | 1.45829 | − | 1.16555i | 0.0727329 | − | 0.0581323i | ||||
\(403\) | −16.4038 | + | 11.5239i | −0.817129 | + | 0.574047i | ||||
\(404\) | − | 11.7331i | − | 0.583745i | ||||||
\(405\) | −2.33077 | − | 6.56900i | −0.115817 | − | 0.326416i | ||||
\(406\) | −0.293011 | − | 0.507511i | −0.0145419 | − | 0.0251873i | ||||
\(407\) | 8.05382 | 0.399213 | ||||||||
\(408\) | −0.574419 | + | 5.14852i | −0.0284380 | + | 0.254890i | ||||
\(409\) | 17.7677 | + | 4.76083i | 0.878554 | + | 0.235408i | 0.669783 | − | 0.742557i | \(-0.266387\pi\) |
0.208771 | + | 0.977965i | \(0.433054\pi\) | |||||||
\(410\) | −0.759258 | − | 0.203443i | −0.0374971 | − | 0.0100473i | ||||
\(411\) | 11.2526 | − | 4.92406i | 0.555050 | − | 0.242886i | ||||
\(412\) | 4.68007 | 0.230570 | ||||||||
\(413\) | 3.25944 | + | 5.64551i | 0.160386 | + | 0.277797i | ||||
\(414\) | −14.0602 | − | 7.39190i | −0.691022 | − | 0.363292i | ||||
\(415\) | − | 8.85170i | − | 0.434513i | ||||||
\(416\) | −3.59134 | + | 0.319804i | −0.176080 | + | 0.0156797i | ||||
\(417\) | 5.36361 | + | 35.3241i | 0.262657 | + | 1.72983i | ||||
\(418\) | 1.08551 | − | 1.08551i | 0.0530940 | − | 0.0530940i | ||||
\(419\) | − | 29.1614i | − | 1.42463i | −0.701861 | − | 0.712314i | \(-0.747647\pi\) | ||
0.701861 | − | 0.712314i | \(-0.252353\pi\) | |||||||
\(420\) | 0.806311 | + | 0.315440i | 0.0393439 | + | 0.0153919i | ||||
\(421\) | −0.816008 | − | 0.218649i | −0.0397698 | − | 0.0106563i | 0.238879 | − | 0.971049i | \(-0.423220\pi\) |
−0.278649 | + | 0.960393i | \(0.589887\pi\) | |||||||
\(422\) | −21.1574 | + | 5.66912i | −1.02993 | + | 0.275968i | ||||
\(423\) | 4.97266 | + | 7.87581i | 0.241779 | + | 0.382935i | ||||
\(424\) | 7.70288 | + | 7.70288i | 0.374085 | + | 0.374085i | ||||
\(425\) | − | 13.1607i | − | 0.638389i | ||||||
\(426\) | −2.98583 | + | 0.453369i | −0.144664 | + | 0.0219658i | ||||
\(427\) | −4.95396 | − | 4.95396i | −0.239739 | − | 0.239739i | ||||
\(428\) | −1.60874 | + | 2.78643i | −0.0777616 | + | 0.134687i | ||||
\(429\) | 6.69445 | − | 1.63472i | 0.323211 | − | 0.0789251i | ||||
\(430\) | −2.51368 | − | 4.35382i | −0.121220 | − | 0.209960i | ||||
\(431\) | −2.61175 | + | 9.74717i | −0.125803 | + | 0.469505i | −0.999867 | − | 0.0163068i | \(-0.994809\pi\) |
0.874064 | + | 0.485811i | \(0.161476\pi\) | |||||||
\(432\) | 5.18286 | + | 0.371373i | 0.249361 | + | 0.0178677i | ||||
\(433\) | −19.4083 | − | 11.2054i | −0.932703 | − | 0.538496i | −0.0450375 | − | 0.998985i | \(-0.514341\pi\) |
−0.887665 | + | 0.460489i | \(0.847674\pi\) | |||||||
\(434\) | −0.928827 | + | 3.46643i | −0.0445851 | + | 0.166394i | ||||
\(435\) | −0.980727 | − | 0.722160i | −0.0470222 | − | 0.0346249i | ||||
\(436\) | −1.32994 | + | 4.96340i | −0.0636926 | + | 0.237704i | ||||
\(437\) | 1.90655 | + | 7.11535i | 0.0912027 | + | 0.340373i | ||||
\(438\) | −4.13670 | − | 5.17568i | −0.197659 | − | 0.247303i | ||||
\(439\) | 5.84221 | + | 3.37300i | 0.278834 | + | 0.160985i | 0.632895 | − | 0.774237i | \(-0.281866\pi\) |
−0.354062 | + | 0.935222i | \(0.615200\pi\) | |||||||
\(440\) | −0.825485 | − | 0.221188i | −0.0393534 | − | 0.0105447i | ||||
\(441\) | 13.4020 | − | 14.5072i | 0.638189 | − | 0.690817i | ||||
\(442\) | 10.7415 | − | 0.956514i | 0.510920 | − | 0.0454968i | ||||
\(443\) | −33.6394 | + | 19.4217i | −1.59825 | + | 0.922753i | −0.606431 | + | 0.795136i | \(0.707400\pi\) |
−0.991824 | + | 0.127617i | \(0.959267\pi\) | |||||||
\(444\) | 1.40173 | − | 12.5637i | 0.0665230 | − | 0.596245i | ||||
\(445\) | −9.63026 | −0.456518 | ||||||||
\(446\) | −2.37413 | − | 4.11211i | −0.112418 | − | 0.194714i | ||||
\(447\) | 16.7725 | − | 22.7778i | 0.793312 | − | 1.07735i | ||||
\(448\) | −0.456400 | + | 0.456400i | −0.0215629 | + | 0.0215629i | ||||
\(449\) | 3.83851 | + | 14.3255i | 0.181151 | + | 0.676063i | 0.995422 | + | 0.0955787i | \(0.0304702\pi\) |
−0.814271 | + | 0.580485i | \(0.802863\pi\) | |||||||
\(450\) | −13.1902 | + | 0.522324i | −0.621794 | + | 0.0246226i | ||||
\(451\) | −0.559977 | + | 0.969908i | −0.0263683 | + | 0.0456712i | ||||
\(452\) | 5.40921 | − | 9.36902i | 0.254428 | − | 0.440682i | ||||
\(453\) | −16.6377 | + | 22.5948i | −0.781707 | + | 1.06159i | ||||
\(454\) | −8.01124 | − | 4.62529i | −0.375986 | − | 0.217076i | ||||
\(455\) | 0.310226 | − | 1.77544i | 0.0145436 | − | 0.0832341i | ||||
\(456\) | −1.50443 | − | 1.88228i | −0.0704513 | − | 0.0881460i | ||||
\(457\) | −9.22269 | − | 34.4195i | −0.431419 | − | 1.61008i | −0.749493 | − | 0.662012i | \(-0.769703\pi\) |
0.318074 | − | 0.948066i | \(-0.396964\pi\) | |||||||
\(458\) | −16.5531 | + | 9.55695i | −0.773477 | + | 0.446567i | ||||
\(459\) | −15.5016 | − | 1.11076i | −0.723554 | − | 0.0518456i | ||||
\(460\) | 2.89970 | − | 2.89970i | 0.135199 | − | 0.135199i | ||||
\(461\) | −8.01748 | − | 8.01748i | −0.373411 | − | 0.373411i | 0.495307 | − | 0.868718i | \(-0.335056\pi\) |
−0.868718 | + | 0.495307i | \(0.835056\pi\) | |||||||
\(462\) | 0.731465 | − | 0.993363i | 0.0340309 | − | 0.0462155i | ||||
\(463\) | −37.3633 | + | 10.0115i | −1.73642 | + | 0.465273i | −0.981646 | − | 0.190711i | \(-0.938921\pi\) |
−0.754775 | + | 0.655984i | \(0.772254\pi\) | |||||||
\(464\) | 0.786294 | − | 0.453967i | 0.0365028 | − | 0.0210749i | ||||
\(465\) | 1.11965 | + | 7.37386i | 0.0519224 | + | 0.341955i | ||||
\(466\) | −22.7293 | + | 6.09029i | −1.05291 | + | 0.282127i | ||||
\(467\) | 1.10308 | 0.0510444 | 0.0255222 | − | 0.999674i | \(-0.491875\pi\) | ||||
0.0255222 | + | 0.999674i | \(0.491875\pi\) | |||||||
\(468\) | −1.38497 | − | 10.7276i | −0.0640202 | − | 0.495884i | ||||
\(469\) | −0.695678 | −0.0321234 | ||||||||
\(470\) | −2.32261 | + | 0.622342i | −0.107134 | + | 0.0287065i | ||||
\(471\) | 20.7623 | − | 16.5944i | 0.956675 | − | 0.764630i | ||||
\(472\) | −8.74668 | + | 5.04990i | −0.402598 | + | 0.232440i | ||||
\(473\) | −6.91891 | + | 1.85392i | −0.318132 | + | 0.0852432i | ||||
\(474\) | 4.19270 | + | 9.58128i | 0.192577 | + | 0.440083i | ||||
\(475\) | 4.32858 | + | 4.32858i | 0.198609 | + | 0.198609i | ||||
\(476\) | 1.36506 | − | 1.36506i | 0.0625676 | − | 0.0625676i | ||||
\(477\) | −22.1762 | + | 24.0049i | −1.01538 | + | 1.09911i | ||||
\(478\) | −20.4478 | + | 11.8055i | −0.935258 | + | 0.539972i | ||||
\(479\) | −9.02947 | − | 33.6984i | −0.412567 | − | 1.53972i | −0.789660 | − | 0.613545i | \(-0.789743\pi\) |
0.377093 | − | 0.926176i | \(-0.376924\pi\) | |||||||
\(480\) | −0.488717 | + | 1.24923i | −0.0223068 | + | 0.0570193i | ||||
\(481\) | −26.2119 | + | 2.33413i | −1.19516 | + | 0.106427i | ||||
\(482\) | −9.54613 | − | 5.51146i | −0.434814 | − | 0.251040i | ||||
\(483\) | 2.37307 | + | 5.42300i | 0.107978 | + | 0.246755i | ||||
\(484\) | 4.89118 | − | 8.47177i | 0.222326 | − | 0.385080i | ||||
\(485\) | −5.10293 | + | 8.83854i | −0.231712 | + | 0.401337i | ||||
\(486\) | −0.498018 | + | 15.5805i | −0.0225905 | + | 0.706746i | ||||
\(487\) | 2.86697 | + | 10.6997i | 0.129915 | + | 0.484849i | 0.999967 | − | 0.00811050i | \(-0.00258168\pi\) |
−0.870052 | + | 0.492960i | \(0.835915\pi\) | |||||||
\(488\) | 7.67525 | − | 7.67525i | 0.347442 | − | 0.347442i | ||||
\(489\) | −34.6120 | − | 3.86165i | −1.56521 | − | 0.174630i | ||||
\(490\) | 2.54933 | + | 4.41556i | 0.115167 | + | 0.199475i | ||||
\(491\) | 20.5551 | 0.927639 | 0.463820 | − | 0.885930i | \(-0.346479\pi\) | ||||
0.463820 | + | 0.885930i | \(0.346479\pi\) | |||||||
\(492\) | 1.41556 | + | 1.04235i | 0.0638184 | + | 0.0469928i | ||||
\(493\) | −2.35176 | + | 1.35779i | −0.105918 | + | 0.0611517i | ||||
\(494\) | −3.21829 | + | 3.84749i | −0.144798 | + | 0.173107i | ||||
\(495\) | 0.565055 | − | 2.50077i | 0.0253973 | − | 0.112401i | ||||
\(496\) | −5.37059 | − | 1.43905i | −0.241147 | − | 0.0646151i | ||||
\(497\) | 0.974642 | + | 0.562710i | 0.0437187 | + | 0.0252410i | ||||
\(498\) | −7.21228 | + | 18.4356i | −0.323190 | + | 0.826120i | ||||
\(499\) | 2.82433 | + | 10.5406i | 0.126434 | + | 0.471860i | 0.999887 | − | 0.0150499i | \(-0.00479072\pi\) |
−0.873452 | + | 0.486910i | \(0.838124\pi\) | |||||||
\(500\) | 1.88425 | − | 7.03212i | 0.0842662 | − | 0.314486i | ||||
\(501\) | 15.4911 | − | 6.77881i | 0.692093 | − | 0.302855i | ||||
\(502\) | 2.32189 | − | 8.66542i | 0.103631 | − | 0.386756i | ||||
\(503\) | −15.4715 | − | 8.93246i | −0.689839 | − | 0.398279i | 0.113713 | − | 0.993514i | \(-0.463726\pi\) |
−0.803552 | + | 0.595235i | \(0.797059\pi\) | |||||||
\(504\) | −1.42230 | − | 1.31395i | −0.0633544 | − | 0.0585280i | ||||
\(505\) | −2.35188 | + | 8.77734i | −0.104657 | + | 0.390587i | ||||
\(506\) | −2.92141 | − | 5.06004i | −0.129873 | − | 0.224946i | ||||
\(507\) | −21.3140 | + | 7.26052i | −0.946586 | + | 0.322451i | ||||
\(508\) | −3.11283 | + | 5.39157i | −0.138109 | + | 0.239212i | ||||
\(509\) | −18.7620 | − | 18.7620i | −0.831610 | − | 0.831610i | 0.156127 | − | 0.987737i | \(-0.450099\pi\) |
−0.987737 | + | 0.156127i | \(0.950099\pi\) | |||||||
\(510\) | 1.46172 | − | 3.73637i | 0.0647262 | − | 0.165449i | ||||
\(511\) | 2.46906i | 0.109225i | ||||||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 5.46385 | − | 4.73319i | 0.241235 | − | 0.208975i | ||||
\(514\) | 13.6149 | − | 3.64811i | 0.600528 | − | 0.160911i | ||||
\(515\) | −3.50107 | − | 0.938110i | −0.154276 | − | 0.0413381i | ||||
\(516\) | 1.68784 | + | 11.1159i | 0.0743031 | + | 0.489351i | ||||
\(517\) | 3.42600i | 0.150675i | ||||||||
\(518\) | −3.33110 | + | 3.33110i | −0.146360 | + | 0.146360i | ||||
\(519\) | −11.5624 | − | 4.52339i | −0.507534 | − | 0.198555i | ||||
\(520\) | 2.75072 | + | 0.480637i | 0.120627 | + | 0.0210773i | ||||
\(521\) | 19.1202i | 0.837669i | 0.908063 | + | 0.418835i | \(0.137561\pi\) | ||||
−0.908063 | + | 0.418835i | \(0.862439\pi\) | |||||||
\(522\) | 1.45417 | + | 2.30315i | 0.0636474 | + | 0.100806i | ||||
\(523\) | 0.547702 | + | 0.948647i | 0.0239493 | + | 0.0414815i | 0.877752 | − | 0.479116i | \(-0.159043\pi\) |
−0.853802 | + | 0.520597i | \(0.825709\pi\) | |||||||
\(524\) | 5.40541 | 0.236136 | ||||||||
\(525\) | 3.96114 | + | 2.91679i | 0.172878 | + | 0.127299i | ||||
\(526\) | −18.6026 | − | 4.98454i | −0.811110 | − | 0.217336i | ||||
\(527\) | 16.0631 | + | 4.30410i | 0.699721 | + | 0.187490i | ||||
\(528\) | 1.53903 | + | 1.13327i | 0.0669778 | + | 0.0493193i | ||||
\(529\) | 5.03669 | 0.218986 | ||||||||
\(530\) | −4.21836 | − | 7.30641i | −0.183234 | − | 0.317370i | ||||
\(531\) | −16.1761 | − | 25.6200i | −0.701983 | − | 1.11181i | ||||
\(532\) | 0.897944i | 0.0389308i | ||||||||
\(533\) | 1.54140 | − | 3.31895i | 0.0667655 | − | 0.143760i | ||||
\(534\) | 20.0572 | + | 7.84665i | 0.867958 | + | 0.339558i | ||||
\(535\) | 1.76201 | − | 1.76201i | 0.0761781 | − | 0.0761781i | ||||
\(536\) | − | 1.07782i | − | 0.0465549i | ||||||
\(537\) | −2.90714 | − | 19.1461i | −0.125453 | − | 0.826215i | ||||
\(538\) | −22.8443 | − | 6.12110i | −0.984886 | − | 0.263899i | ||||
\(539\) | 7.01704 | − | 1.88021i | 0.302245 | − | 0.0809863i | ||||
\(540\) | −3.80277 | − | 1.31671i | −0.163645 | − | 0.0566623i | ||||
\(541\) | 5.70214 | + | 5.70214i | 0.245154 | + | 0.245154i | 0.818978 | − | 0.573824i | \(-0.194541\pi\) |
−0.573824 | + | 0.818978i | \(0.694541\pi\) | |||||||
\(542\) | − | 26.6339i | − | 1.14402i | ||||||
\(543\) | −5.52907 | + | 14.1331i | −0.237275 | + | 0.606509i | ||||
\(544\) | 2.11491 | + | 2.11491i | 0.0906762 | + | 0.0906762i | ||||
\(545\) | 1.98981 | − | 3.44645i | 0.0852340 | − | 0.147630i | ||||
\(546\) | −2.09273 | + | 3.44499i | −0.0895605 | + | 0.147432i | ||||
\(547\) | 3.73629 | + | 6.47145i | 0.159752 | + | 0.276699i | 0.934779 | − | 0.355229i | \(-0.115597\pi\) |
−0.775027 | + | 0.631928i | \(0.782264\pi\) | |||||||
\(548\) | 1.83541 | − | 6.84985i | 0.0784049 | − | 0.292611i | ||||
\(549\) | 23.9188 | + | 22.0966i | 1.02083 | + | 0.943061i | ||||
\(550\) | −4.20496 | − | 2.42774i | −0.179300 | − | 0.103519i | ||||
\(551\) | 0.326919 | − | 1.22008i | 0.0139272 | − | 0.0519770i | ||||
\(552\) | −8.40193 | + | 3.67663i | −0.357610 | + | 0.156488i | ||||
\(553\) | 1.00870 | − | 3.76454i | 0.0428945 | − | 0.160084i | ||||
\(554\) | 2.84084 | + | 10.6021i | 0.120696 | + | 0.450442i | ||||
\(555\) | −3.56697 | + | 9.11768i | −0.151409 | + | 0.387024i | ||||
\(556\) | 17.8645 | + | 10.3141i | 0.757624 | + | 0.437414i | ||||
\(557\) | −10.2462 | − | 2.74546i | −0.434145 | − | 0.116329i | 0.0351263 | − | 0.999383i | \(-0.488817\pi\) |
−0.469271 | + | 0.883054i | \(0.655483\pi\) | |||||||
\(558\) | 3.67624 | − | 16.2700i | 0.155628 | − | 0.688763i | ||||
\(559\) | 21.9810 | − | 8.03897i | 0.929695 | − | 0.340012i | ||||
\(560\) | 0.432909 | − | 0.249940i | 0.0182937 | − | 0.0105619i | ||||
\(561\) | −4.60316 | − | 3.38954i | −0.194345 | − | 0.143107i | ||||
\(562\) | 31.3397 | 1.32199 | ||||||||
\(563\) | 8.65071 | + | 14.9835i | 0.364584 | + | 0.631478i | 0.988709 | − | 0.149846i | \(-0.0478779\pi\) |
−0.624125 | + | 0.781324i | \(0.714545\pi\) | |||||||
\(564\) | 5.34444 | + | 0.596278i | 0.225041 | + | 0.0251079i | ||||
\(565\) | −5.92453 | + | 5.92453i | −0.249247 | + | 0.249247i | ||||
\(566\) | 6.40405 | + | 23.9003i | 0.269182 | + | 1.00460i | ||||
\(567\) | 3.76993 | − | 4.41954i | 0.158322 | − | 0.185603i | ||||
\(568\) | −0.871815 | + | 1.51003i | −0.0365805 | + | 0.0633594i | ||||
\(569\) | 16.3511 | − | 28.3209i | 0.685474 | − | 1.18728i | −0.287814 | − | 0.957686i | \(-0.592929\pi\) |
0.973288 | − | 0.229589i | \(-0.0737381\pi\) | |||||||
\(570\) | 0.748136 | + | 1.70966i | 0.0313360 | + | 0.0716099i | ||||
\(571\) | 22.1007 | + | 12.7598i | 0.924883 | + | 0.533982i | 0.885190 | − | 0.465230i | \(-0.154028\pi\) |
0.0396937 | + | 0.999212i | \(0.487362\pi\) | |||||||
\(572\) | 1.67585 | − | 3.60844i | 0.0700708 | − | 0.150877i | ||||
\(573\) | 15.3413 | − | 39.2145i | 0.640891 | − | 1.63821i | ||||
\(574\) | −0.169550 | − | 0.632768i | −0.00707686 | − | 0.0264112i | ||||
\(575\) | 20.1774 | − | 11.6494i | 0.841457 | − | 0.485815i | ||||
\(576\) | 2.03572 | − | 2.20360i | 0.0848218 | − | 0.0918165i | ||||
\(577\) | −15.1912 | + | 15.1912i | −0.632416 | + | 0.632416i | −0.948673 | − | 0.316257i | \(-0.897574\pi\) |
0.316257 | + | 0.948673i | \(0.397574\pi\) | |||||||
\(578\) | 5.69523 | + | 5.69523i | 0.236890 | + | 0.236890i | ||||
\(579\) | 6.85980 | + | 15.6762i | 0.285084 | + | 0.651482i | ||||
\(580\) | −0.679209 | + | 0.181994i | −0.0282026 | + | 0.00755687i | ||||
\(581\) | 6.38869 | − | 3.68851i | 0.265048 | − | 0.153025i | ||||
\(582\) | 17.8296 | − | 14.2504i | 0.739059 | − | 0.590698i | ||||
\(583\) | −11.6111 | + | 3.11117i | −0.480881 | + | 0.128852i | ||||
\(584\) | −3.82535 | −0.158294 | ||||||||
\(585\) | −1.11426 | + | 8.30275i | −0.0460689 | + | 0.343277i | ||||
\(586\) | −22.2591 | −0.919516 | ||||||||
\(587\) | 16.7240 | − | 4.48118i | 0.690273 | − | 0.184958i | 0.103403 | − | 0.994639i | \(-0.467027\pi\) |
0.586870 | + | 0.809681i | \(0.300360\pi\) | |||||||
\(588\) | −1.71178 | − | 11.2736i | −0.0705925 | − | 0.464914i | ||||
\(589\) | −6.69882 | + | 3.86756i | −0.276020 | + | 0.159360i | ||||
\(590\) | 7.55547 | − | 2.02448i | 0.311054 | − | 0.0833466i | ||||
\(591\) | −27.8420 | + | 37.8108i | −1.14527 | + | 1.55533i | ||||
\(592\) | −5.16092 | − | 5.16092i | −0.212112 | − | 0.212112i | ||||
\(593\) | 4.90812 | − | 4.90812i | 0.201552 | − | 0.201552i | −0.599112 | − | 0.800665i | \(-0.704480\pi\) |
0.800665 | + | 0.599112i | \(0.204480\pi\) | |||||||
\(594\) | −3.21446 | + | 4.74801i | −0.131891 | + | 0.194813i | ||||
\(595\) | −1.29480 | + | 0.747555i | −0.0530818 | + | 0.0306468i | ||||
\(596\) | −4.22688 | − | 15.7749i | −0.173140 | − | 0.646167i | ||||
\(597\) | 6.81030 | + | 8.52079i | 0.278727 | + | 0.348733i | ||||
\(598\) | 10.9745 | + | 15.6217i | 0.448781 | + | 0.638818i | ||||
\(599\) | 3.18471 | + | 1.83869i | 0.130124 | + | 0.0751269i | 0.563649 | − | 0.826015i | \(-0.309397\pi\) |
−0.433525 | + | 0.901141i | \(0.642730\pi\) | |||||||
\(600\) | −4.51903 | + | 6.13706i | −0.184489 | + | 0.250544i | ||||
\(601\) | 19.8617 | − | 34.4016i | 0.810178 | − | 1.40327i | −0.102562 | − | 0.994727i | \(-0.532704\pi\) |
0.912740 | − | 0.408542i | \(-0.133963\pi\) | |||||||
\(602\) | 2.09491 | − | 3.62848i | 0.0853820 | − | 0.147886i | ||||
\(603\) | 3.23094 | − | 0.127943i | 0.131574 | − | 0.00521023i | ||||
\(604\) | 4.19291 | + | 15.6482i | 0.170607 | + | 0.636715i | ||||
\(605\) | −5.35715 | + | 5.35715i | −0.217799 | + | 0.217799i | ||||
\(606\) | 12.0500 | − | 16.3645i | 0.489498 | − | 0.664761i | ||||
\(607\) | 0.591299 | + | 1.02416i | 0.0240001 | + | 0.0415694i | 0.877776 | − | 0.479071i | \(-0.159026\pi\) |
−0.853776 | + | 0.520641i | \(0.825693\pi\) | |||||||
\(608\) | −1.39120 | −0.0564205 | ||||||||
\(609\) | 0.112548 | − | 1.00876i | 0.00456066 | − | 0.0408771i | ||||
\(610\) | −7.28020 | + | 4.20323i | −0.294767 | + | 0.170184i | ||||
\(611\) | −0.992914 | − | 11.1502i | −0.0401690 | − | 0.451090i | ||||
\(612\) | −6.08872 | + | 6.59082i | −0.246122 | + | 0.266418i | ||||
\(613\) | 27.5469 | + | 7.38116i | 1.11261 | + | 0.298122i | 0.767888 | − | 0.640584i | \(-0.221308\pi\) |
0.344719 | + | 0.938706i | \(0.387974\pi\) | |||||||
\(614\) | 5.35873 | + | 3.09386i | 0.216261 | + | 0.124858i | ||||
\(615\) | −0.850018 | − | 1.06351i | −0.0342760 | − | 0.0428849i | ||||
\(616\) | −0.184339 | − | 0.687961i | −0.00742721 | − | 0.0277187i | ||||
\(617\) | −2.04963 | + | 7.64931i | −0.0825148 | + | 0.307950i | −0.994832 | − | 0.101535i | \(-0.967625\pi\) |
0.912317 | + | 0.409484i | \(0.134291\pi\) | |||||||
\(618\) | 6.52740 | + | 4.80647i | 0.262571 | + | 0.193344i | ||||
\(619\) | −6.21758 | + | 23.2043i | −0.249906 | + | 0.932660i | 0.720948 | + | 0.692989i | \(0.243706\pi\) |
−0.970854 | + | 0.239672i | \(0.922960\pi\) | |||||||
\(620\) | 3.72919 | + | 2.15305i | 0.149768 | + | 0.0864685i | ||||
\(621\) | −12.0186 | − | 24.7496i | −0.482289 | − | 0.993168i | ||||
\(622\) | −3.11482 | + | 11.6247i | −0.124893 | + | 0.466106i | ||||
\(623\) | −4.01294 | − | 6.95062i | −0.160775 | − | 0.278471i | ||||
\(624\) | −5.33737 | − | 3.24230i | −0.213666 | − | 0.129796i | ||||
\(625\) | 8.18134 | − | 14.1705i | 0.327254 | − | 0.566820i | ||||
\(626\) | −17.2282 | − | 17.2282i | −0.688578 | − | 0.688578i | ||||
\(627\) | 2.62881 | − | 0.399159i | 0.104985 | − | 0.0159409i | ||||
\(628\) | − | 15.3454i | − | 0.612349i | ||||||
\(629\) | 15.4360 | + | 15.4360i | 0.615474 | + | 0.615474i | ||||
\(630\) | 0.800621 | + | 1.26804i | 0.0318975 | + | 0.0505199i | ||||
\(631\) | −1.75718 | + | 0.470835i | −0.0699522 | + | 0.0187436i | −0.293625 | − | 0.955921i | \(-0.594862\pi\) |
0.223673 | + | 0.974664i | \(0.428195\pi\) | |||||||
\(632\) | 5.83246 | + | 1.56280i | 0.232003 | + | 0.0621649i | ||||
\(633\) | −35.3310 | − | 13.8220i | −1.40428 | − | 0.549375i | ||||
\(634\) | 17.5601i | 0.697399i | ||||||||
\(635\) | 3.40938 | − | 3.40938i | 0.135297 | − | 0.135297i | ||||
\(636\) | 2.83247 | + | 18.6543i | 0.112315 | + | 0.739692i | ||||
\(637\) | −22.2927 | + | 8.15297i | −0.883268 | + | 0.323033i | ||||
\(638\) | 1.00188i | 0.0396647i | ||||||||
\(639\) | −4.63002 | − | 2.43415i | −0.183161 | − | 0.0962935i | ||||
\(640\) | 0.387236 | + | 0.670712i | 0.0153068 | + | 0.0265122i | ||||
\(641\) | 10.0435 | 0.396692 | 0.198346 | − | 0.980132i | \(-0.436443\pi\) | ||||
0.198346 | + | 0.980132i | \(0.436443\pi\) | |||||||
\(642\) | −5.10544 | + | 2.23410i | −0.201495 | + | 0.0881730i | ||||
\(643\) | 0.461597 | + | 0.123684i | 0.0182036 | + | 0.00487764i | 0.267909 | − | 0.963444i | \(-0.413667\pi\) |
−0.249706 | + | 0.968322i | \(0.580334\pi\) | |||||||
\(644\) | 3.30117 | + | 0.884545i | 0.130084 | + | 0.0348559i | ||||
\(645\) | 0.965520 | − | 8.65394i | 0.0380173 | − | 0.340749i | ||||
\(646\) | 4.16099 | 0.163712 | ||||||||
\(647\) | 13.4402 | + | 23.2791i | 0.528389 | + | 0.915197i | 0.999452 | + | 0.0330972i | \(0.0105371\pi\) |
−0.471063 | + | 0.882100i | \(0.656130\pi\) | |||||||
\(648\) | 6.84726 | + | 5.84081i | 0.268986 | + | 0.229449i | ||||
\(649\) | − | 11.1448i | − | 0.437472i | ||||||
\(650\) | 14.3890 | + | 6.68263i | 0.564385 | + | 0.262114i | ||||
\(651\) | −4.85551 | + | 3.88080i | −0.190302 | + | 0.152101i | ||||
\(652\) | −14.2180 | + | 14.2180i | −0.556818 | + | 0.556818i | ||||
\(653\) | − | 32.7229i | − | 1.28054i | −0.768148 | − | 0.640272i | \(-0.778822\pi\) | ||
0.768148 | − | 0.640272i | \(-0.221178\pi\) | |||||||
\(654\) | −6.95235 | + | 5.55672i | −0.271859 | + | 0.217285i | ||||
\(655\) | −4.04369 | − | 1.08350i | −0.158000 | − | 0.0423360i | ||||
\(656\) | 0.980356 | − | 0.262686i | 0.0382765 | − | 0.0102562i | ||||
\(657\) | −0.454087 | − | 11.4671i | −0.0177156 | − | 0.447373i | ||||
\(658\) | −1.41701 | − | 1.41701i | −0.0552408 | − | 0.0552408i | ||||
\(659\) | 17.0035i | 0.662361i | 0.943567 | + | 0.331180i | \(0.107447\pi\) | ||||
−0.943567 | + | 0.331180i | \(0.892553\pi\) | |||||||
\(660\) | −0.924161 | − | 1.15628i | −0.0359729 | − | 0.0450080i | ||||
\(661\) | 31.5432 | + | 31.5432i | 1.22689 | + | 1.22689i | 0.965135 | + | 0.261754i | \(0.0843011\pi\) |
0.261754 | + | 0.965135i | \(0.415699\pi\) | |||||||
\(662\) | 15.5821 | − | 26.9890i | 0.605615 | − | 1.04896i | ||||
\(663\) | 15.9638 | + | 9.69752i | 0.619981 | + | 0.376620i | ||||
\(664\) | 5.71467 | + | 9.89810i | 0.221772 | + | 0.384121i | ||||
\(665\) | 0.179991 | − | 0.671736i | 0.00697975 | − | 0.0260488i | ||||
\(666\) | 14.8580 | − | 16.0833i | 0.575736 | − | 0.623214i | ||||
\(667\) | −4.16340 | − | 2.40374i | −0.161208 | − | 0.0930732i | ||||
\(668\) | 2.52676 | − | 9.42999i | 0.0977632 | − | 0.364857i | ||||
\(669\) | 0.911918 | − | 8.17351i | 0.0352568 | − | 0.316006i | ||||
\(670\) | −0.216048 | + | 0.806301i | −0.00834665 | + | 0.0311501i | ||||
\(671\) | 3.10001 | + | 11.5694i | 0.119675 | + | 0.446632i | ||||
\(672\) | −1.10528 | + | 0.167825i | −0.0426370 | + | 0.00647400i | ||||
\(673\) | 4.42806 | + | 2.55654i | 0.170689 | + | 0.0985475i | 0.582911 | − | 0.812536i | \(-0.301914\pi\) |
−0.412222 | + | 0.911084i | \(0.635247\pi\) | |||||||
\(674\) | 2.98580 | + | 0.800042i | 0.115009 | + | 0.0308165i | ||||
\(675\) | −18.9332 | − | 12.8180i | −0.728738 | − | 0.493365i | ||||
\(676\) | −4.40842 | + | 12.2297i | −0.169555 | + | 0.470373i | ||||
\(677\) | −10.2029 | + | 5.89065i | −0.392130 | + | 0.226396i | −0.683083 | − | 0.730341i | \(-0.739361\pi\) |
0.290953 | + | 0.956737i | \(0.406028\pi\) | |||||||
\(678\) | 17.1664 | − | 7.51190i | 0.659272 | − | 0.288493i | ||||
\(679\) | −8.50559 | −0.326415 | ||||||||
\(680\) | −1.15820 | − | 2.00606i | −0.0444149 | − | 0.0769289i | ||||
\(681\) | −6.42325 | − | 14.6786i | −0.246140 | − | 0.562485i | ||||
\(682\) | 4.33834 | − | 4.33834i | 0.166123 | − | 0.166123i | ||||
\(683\) | 11.2235 | + | 41.8867i | 0.429456 | + | 1.60275i | 0.753996 | + | 0.656879i | \(0.228124\pi\) |
−0.324540 | + | 0.945872i | \(0.605210\pi\) | |||||||
\(684\) | −0.165142 | − | 4.17033i | −0.00631435 | − | 0.159456i | ||||
\(685\) | −2.74608 | + | 4.75635i | −0.104922 | + | 0.181731i | ||||
\(686\) | −4.38368 | + | 7.59275i | −0.167370 | + | 0.289893i | ||||
\(687\) | −32.9021 | − | 3.67088i | −1.25529 | − | 0.140053i | ||||
\(688\) | 5.62166 | + | 3.24567i | 0.214324 | + | 0.123740i | ||||
\(689\) | 36.8876 | − | 13.4907i | 1.40531 | − | 0.513954i | ||||
\(690\) | 7.02231 | − | 1.06627i | 0.267335 | − | 0.0405921i | ||||
\(691\) | −10.5005 | − | 39.1885i | −0.399459 | − | 1.49080i | −0.814051 | − | 0.580793i | \(-0.802742\pi\) |
0.414592 | − | 0.910007i | \(-0.363924\pi\) | |||||||
\(692\) | −6.20787 | + | 3.58412i | −0.235988 | + | 0.136248i | ||||
\(693\) | 2.04038 | − | 0.634247i | 0.0775078 | − | 0.0240930i | ||||
\(694\) | −13.7814 | + | 13.7814i | −0.523135 | + | 0.523135i | ||||
\(695\) | −11.2967 | − | 11.2967i | −0.428507 | − | 0.428507i | ||||
\(696\) | 1.56289 | + | 0.174372i | 0.0592412 | + | 0.00660954i | ||||
\(697\) | −2.93219 | + | 0.785677i | −0.111065 | + | 0.0297596i | ||||
\(698\) | −19.0020 | + | 10.9708i | −0.719237 | + | 0.415252i | ||||
\(699\) | −37.9559 | − | 14.8489i | −1.43562 | − | 0.561636i | ||||
\(700\) | 2.74332 | − | 0.735069i | 0.103688 | − | 0.0277830i | ||||
\(701\) | 4.00390 | 0.151225 | 0.0756127 | − | 0.997137i | \(-0.475909\pi\) | ||||
0.0756127 | + | 0.997137i | \(0.475909\pi\) | |||||||
\(702\) | 9.08570 | − | 16.3844i | 0.342918 | − | 0.618391i | ||||
\(703\) | −10.1539 | −0.382960 | ||||||||
\(704\) | 1.06587 | − | 0.285599i | 0.0401714 | − | 0.0107639i | ||||
\(705\) | −3.87855 | − | 1.51735i | −0.146075 | − | 0.0571466i | ||||
\(706\) | 8.49172 | − | 4.90270i | 0.319590 | − | 0.184515i | ||||
\(707\) | −7.31506 | + | 1.96006i | −0.275111 | + | 0.0737158i | ||||
\(708\) | −17.3855 | − | 1.93970i | −0.653387 | − | 0.0728983i | ||||
\(709\) | 36.5550 | + | 36.5550i | 1.37285 | + | 1.37285i | 0.856187 | + | 0.516665i | \(0.172827\pi\) |
0.516665 | + | 0.856187i | \(0.327173\pi\) | |||||||
\(710\) | 0.954871 | − | 0.954871i | 0.0358357 | − | 0.0358357i | ||||
\(711\) | −3.99239 | + | 17.6692i | −0.149726 | + | 0.662646i | ||||
\(712\) | 10.7687 | − | 6.21731i | 0.403574 | − | 0.233004i | ||||
\(713\) | 7.61970 | + | 28.4371i | 0.285360 | + | 1.06498i | ||||
\(714\) | 3.30582 | − | 0.501956i | 0.123717 | − | 0.0187852i | ||||
\(715\) | −1.97698 | + | 2.36349i | −0.0739348 | + | 0.0883896i | ||||
\(716\) | −9.68278 | − | 5.59035i | −0.361862 | − | 0.208921i | ||||
\(717\) | −40.6433 | − | 4.53457i | −1.51785 | − | 0.169347i | ||||
\(718\) | 15.4672 | − | 26.7899i | 0.577229 | − | 0.999790i | ||||
\(719\) | 19.0888 | − | 33.0627i | 0.711891 | − | 1.23303i | −0.252256 | − | 0.967661i | \(-0.581172\pi\) |
0.964147 | − | 0.265370i | \(-0.0854942\pi\) | |||||||
\(720\) | −1.96459 | + | 1.24041i | −0.0732161 | + | 0.0462275i | ||||
\(721\) | −0.781823 | − | 2.91780i | −0.0291166 | − | 0.108665i | ||||
\(722\) | 12.0665 | − | 12.0665i | 0.449068 | − | 0.449068i | ||||
\(723\) | −7.65390 | − | 17.4909i | −0.284652 | − | 0.650494i | ||||
\(724\) | 4.38097 | + | 7.58806i | 0.162817 | + | 0.282008i | ||||
\(725\) | −3.99509 | −0.148374 | ||||||||
\(726\) | 15.5224 | − | 6.79250i | 0.576091 | − | 0.252093i | ||||
\(727\) | 19.7831 | − | 11.4218i | 0.733715 | − | 0.423611i | −0.0860647 | − | 0.996290i | \(-0.527429\pi\) |
0.819780 | + | 0.572679i | \(0.194096\pi\) | |||||||
\(728\) | 0.799330 | + | 2.18561i | 0.0296251 | + | 0.0810041i | ||||
\(729\) | −16.6959 | + | 21.2190i | −0.618366 | + | 0.785890i | ||||
\(730\) | 2.86167 | + | 0.766783i | 0.105915 | + | 0.0283799i | ||||
\(731\) | −16.8141 | − | 9.70760i | −0.621891 | − | 0.359049i | ||||
\(732\) | 18.5874 | − | 2.82231i | 0.687010 | − | 0.104316i | ||||
\(733\) | 5.31510 | + | 19.8362i | 0.196318 | + | 0.732668i | 0.991922 | + | 0.126851i | \(0.0404870\pi\) |
−0.795604 | + | 0.605817i | \(0.792846\pi\) | |||||||
\(734\) | 5.67269 | − | 21.1708i | 0.209383 | − | 0.781428i | ||||
\(735\) | −0.979213 | + | 8.77667i | −0.0361188 | + | 0.323732i | ||||
\(736\) | −1.37044 | + | 5.11455i | −0.0505150 | + | 0.188525i | ||||
\(737\) | 1.03000 | + | 0.594672i | 0.0379406 | + | 0.0219050i | ||||
\(738\) | 0.903813 | + | 2.90758i | 0.0332698 | + | 0.107030i | ||||
\(739\) | 2.52195 | − | 9.41204i | 0.0927713 | − | 0.346227i | −0.903901 | − | 0.427742i | \(-0.859309\pi\) |
0.996672 | + | 0.0815148i | \(0.0259758\pi\) | |||||||
\(740\) | 2.82630 | + | 4.89529i | 0.103897 | + | 0.179954i | ||||
\(741\) | −8.44004 | + | 2.06098i | −0.310052 | + | 0.0757118i | ||||
\(742\) | 3.51559 | − | 6.08918i | 0.129061 | − | 0.223541i | ||||
\(743\) | 24.5627 | + | 24.5627i | 0.901120 | + | 0.901120i | 0.995533 | − | 0.0944135i | \(-0.0300976\pi\) |
−0.0944135 | + | 0.995533i | \(0.530098\pi\) | |||||||
\(744\) | −6.01258 | − | 7.52271i | −0.220432 | − | 0.275796i | ||||
\(745\) | 12.6482i | 0.463395i | ||||||||
\(746\) | −1.03484 | − | 1.03484i | −0.0378883 | − | 0.0378883i | ||||
\(747\) | −28.9927 | + | 18.3055i | −1.06079 | + | 0.669764i | ||||
\(748\) | −3.18795 | + | 0.854208i | −0.116563 | + | 0.0312329i | ||||
\(749\) | 2.00595 | + | 0.537494i | 0.0732959 | + | 0.0196396i | ||||
\(750\) | 9.85005 | − | 7.87272i | 0.359673 | − | 0.287471i | ||||
\(751\) | − | 20.5860i | − | 0.751193i | −0.926783 | − | 0.375596i | \(-0.877438\pi\) | ||
0.926783 | − | 0.375596i | \(-0.122562\pi\) | |||||||
\(752\) | 2.19540 | − | 2.19540i | 0.0800578 | − | 0.0800578i | ||||
\(753\) | 12.1378 | − | 9.70126i | 0.442328 | − | 0.353534i | ||||
\(754\) | −0.290361 | − | 3.26070i | −0.0105743 | − | 0.118748i | ||||
\(755\) | − | 12.5466i | − | 0.456616i | ||||||
\(756\) | −0.634283 | − | 3.29331i | −0.0230687 | − | 0.119777i | ||||
\(757\) | 7.26256 | + | 12.5791i | 0.263962 | + | 0.457196i | 0.967291 | − | 0.253668i | \(-0.0816372\pi\) |
−0.703329 | + | 0.710865i | \(0.748304\pi\) | |||||||
\(758\) | 16.9489 | 0.615612 | ||||||||
\(759\) | 1.12213 | − | 10.0577i | 0.0407309 | − | 0.365070i | ||||
\(760\) | 1.04073 | + | 0.278863i | 0.0377512 | + | 0.0101154i | ||||
\(761\) | −7.39827 | − | 1.98236i | −0.268187 | − | 0.0718605i | 0.122219 | − | 0.992503i | \(-0.460999\pi\) |
−0.390406 | + | 0.920643i | \(0.627666\pi\) | |||||||
\(762\) | −9.87872 | + | 4.32286i | −0.357868 | + | 0.156601i | ||||
\(763\) | 3.31662 | 0.120070 | ||||||||
\(764\) | −12.1557 | − | 21.0543i | −0.439777 | − | 0.761717i | ||||
\(765\) | 5.87598 | − | 3.71000i | 0.212447 | − | 0.134136i | ||||
\(766\) | 9.05433i | 0.327146i | ||||||||
\(767\) | 3.22995 | + | 36.2718i | 0.116627 | + | 1.30970i | ||||
\(768\) | −0.260014 | − | 1.71242i | −0.00938246 | − | 0.0617917i | ||||
\(769\) | −6.40514 | + | 6.40514i | −0.230975 | + | 0.2309 |