Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.20 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.20 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.734739 | + | 0.424202i | 0.519539 | + | 0.299956i | 0.736746 | − | 0.676170i | \(-0.236361\pi\) |
−0.217207 | + | 0.976126i | \(0.569695\pi\) | |||||||
\(3\) | 1.60698 | + | 0.646225i | 0.927792 | + | 0.373098i | ||||
\(4\) | −0.640106 | − | 1.10870i | −0.320053 | − | 0.554348i | ||||
\(5\) | 1.44264 | − | 2.49872i | 0.645167 | − | 1.11746i | −0.339096 | − | 0.940752i | \(-0.610121\pi\) |
0.984263 | − | 0.176710i | \(-0.0565454\pi\) | |||||||
\(6\) | 0.906583 | + | 1.15649i | 0.370111 | + | 0.472136i | ||||
\(7\) | −1.51284 | + | 2.17056i | −0.571799 | + | 0.820394i | ||||
\(8\) | − | 2.78294i | − | 0.983919i | ||||||
\(9\) | 2.16479 | + | 2.07694i | 0.721596 | + | 0.692315i | ||||
\(10\) | 2.11992 | − | 1.22394i | 0.670379 | − | 0.387043i | ||||
\(11\) | 1.29721 | − | 0.748942i | 0.391122 | − | 0.225814i | −0.291524 | − | 0.956563i | \(-0.594162\pi\) |
0.682646 | + | 0.730749i | \(0.260829\pi\) | |||||||
\(12\) | −0.312172 | − | 2.19531i | −0.0901164 | − | 0.633730i | ||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | −2.03230 | + | 0.953044i | −0.543154 | + | 0.254712i | ||||
\(15\) | 3.93303 | − | 3.08313i | 1.01550 | − | 0.796061i | ||||
\(16\) | −0.0996816 | + | 0.172654i | −0.0249204 | + | 0.0431634i | ||||
\(17\) | 0.812718 | + | 1.40767i | 0.197113 | + | 0.341410i | 0.947591 | − | 0.319486i | \(-0.103510\pi\) |
−0.750478 | + | 0.660895i | \(0.770177\pi\) | |||||||
\(18\) | 0.709511 | + | 2.44432i | 0.167233 | + | 0.576131i | ||||
\(19\) | −1.58307 | − | 0.913984i | −0.363180 | − | 0.209682i | 0.307295 | − | 0.951614i | \(-0.400576\pi\) |
−0.670475 | + | 0.741932i | \(0.733910\pi\) | |||||||
\(20\) | −3.69376 | −0.825950 | ||||||||
\(21\) | −3.83377 | + | 2.51041i | −0.836598 | + | 0.547817i | ||||
\(22\) | 1.27081 | 0.270938 | ||||||||
\(23\) | −2.10587 | − | 1.21582i | −0.439104 | − | 0.253517i | 0.264113 | − | 0.964492i | \(-0.414921\pi\) |
−0.703218 | + | 0.710975i | \(0.748254\pi\) | |||||||
\(24\) | 1.79841 | − | 4.47214i | 0.367098 | − | 0.912872i | ||||
\(25\) | −1.66240 | − | 2.87936i | −0.332480 | − | 0.575873i | ||||
\(26\) | −0.424202 | + | 0.734739i | −0.0831928 | + | 0.144094i | ||||
\(27\) | 2.13660 | + | 4.73655i | 0.411190 | + | 0.911550i | ||||
\(28\) | 3.37486 | + | 0.287891i | 0.637789 | + | 0.0544064i | ||||
\(29\) | 3.71033i | 0.688991i | 0.938788 | + | 0.344496i | \(0.111950\pi\) | ||||
−0.938788 | + | 0.344496i | \(0.888050\pi\) | |||||||
\(30\) | 4.19762 | − | 0.596901i | 0.766377 | − | 0.108979i | ||||
\(31\) | −8.38619 | + | 4.84177i | −1.50620 | + | 0.869608i | −0.506230 | + | 0.862398i | \(0.668961\pi\) |
−0.999974 | + | 0.00720922i | \(0.997705\pi\) | |||||||
\(32\) | −4.96668 | + | 2.86751i | −0.877993 | + | 0.506910i | ||||
\(33\) | 2.56857 | − | 0.365251i | 0.447131 | − | 0.0635820i | ||||
\(34\) | 1.37903i | 0.236501i | ||||||||
\(35\) | 3.24114 | + | 6.91149i | 0.547852 | + | 1.16825i | ||||
\(36\) | 0.917005 | − | 3.72955i | 0.152834 | − | 0.621592i | ||||
\(37\) | −0.936328 | + | 1.62177i | −0.153931 | + | 0.266617i | −0.932669 | − | 0.360732i | \(-0.882527\pi\) |
0.778738 | + | 0.627349i | \(0.215860\pi\) | |||||||
\(38\) | −0.775428 | − | 1.34308i | −0.125791 | − | 0.217876i | ||||
\(39\) | −0.646225 | + | 1.60698i | −0.103479 | + | 0.257323i | ||||
\(40\) | −6.95380 | − | 4.01478i | −1.09949 | − | 0.634792i | ||||
\(41\) | 8.73497 | 1.36417 | 0.682087 | − | 0.731271i | \(-0.261073\pi\) | ||||
0.682087 | + | 0.731271i | \(0.261073\pi\) | |||||||
\(42\) | −3.88175 | + | 0.218206i | −0.598966 | + | 0.0336700i | ||||
\(43\) | −6.95036 | −1.05992 | −0.529960 | − | 0.848023i | \(-0.677793\pi\) | ||||
−0.529960 | + | 0.848023i | \(0.677793\pi\) | |||||||
\(44\) | −1.66070 | − | 0.958804i | −0.250359 | − | 0.144545i | ||||
\(45\) | 8.31270 | − | 2.41292i | 1.23918 | − | 0.359697i | ||||
\(46\) | −1.03151 | − | 1.78663i | −0.152088 | − | 0.263424i | ||||
\(47\) | 1.24667 | − | 2.15929i | 0.181845 | − | 0.314964i | −0.760664 | − | 0.649146i | \(-0.775126\pi\) |
0.942509 | + | 0.334181i | \(0.108460\pi\) | |||||||
\(48\) | −0.271760 | + | 0.213035i | −0.0392251 | + | 0.0307489i | ||||
\(49\) | −2.42264 | − | 6.56741i | −0.346091 | − | 0.938201i | ||||
\(50\) | − | 2.82077i | − | 0.398918i | ||||||
\(51\) | 0.396353 | + | 2.78730i | 0.0555006 | + | 0.390300i | ||||
\(52\) | 1.10870 | − | 0.640106i | 0.153748 | − | 0.0887667i | ||||
\(53\) | −1.76288 | + | 1.01780i | −0.242150 | + | 0.139805i | −0.616165 | − | 0.787617i | \(-0.711314\pi\) |
0.374014 | + | 0.927423i | \(0.377981\pi\) | |||||||
\(54\) | −0.439407 | + | 4.38648i | −0.0597958 | + | 0.596924i | ||||
\(55\) | − | 4.32180i | − | 0.582752i | ||||||
\(56\) | 6.04054 | + | 4.21014i | 0.807201 | + | 0.562604i | ||||
\(57\) | −1.95332 | − | 2.49177i | −0.258724 | − | 0.330043i | ||||
\(58\) | −1.57393 | + | 2.72612i | −0.206667 | + | 0.357958i | ||||
\(59\) | −7.41271 | − | 12.8392i | −0.965052 | − | 1.67152i | −0.709474 | − | 0.704731i | \(-0.751067\pi\) |
−0.255578 | − | 0.966788i | \(-0.582266\pi\) | |||||||
\(60\) | −5.93581 | − | 2.38700i | −0.766310 | − | 0.308160i | ||||
\(61\) | 7.29866 | + | 4.21389i | 0.934498 | + | 0.539533i | 0.888231 | − | 0.459396i | \(-0.151934\pi\) |
0.0462667 | + | 0.998929i | \(0.485268\pi\) | |||||||
\(62\) | −8.21555 | −1.04338 | ||||||||
\(63\) | −7.78310 | + | 1.55671i | −0.980578 | + | 0.196128i | ||||
\(64\) | −4.46689 | −0.558361 | ||||||||
\(65\) | 2.49872 | + | 1.44264i | 0.309928 | + | 0.178937i | ||||
\(66\) | 2.04217 | + | 0.821229i | 0.251374 | + | 0.101086i | ||||
\(67\) | −7.19942 | − | 12.4698i | −0.879550 | − | 1.52342i | −0.851836 | − | 0.523809i | \(-0.824511\pi\) |
−0.0277136 | − | 0.999616i | \(-0.508823\pi\) | |||||||
\(68\) | 1.04045 | − | 1.80211i | 0.126173 | − | 0.218538i | ||||
\(69\) | −2.59840 | − | 3.31467i | −0.312811 | − | 0.399040i | ||||
\(70\) | −0.550474 | + | 6.45304i | −0.0657942 | + | 0.771285i | ||||
\(71\) | 10.1763i | 1.20770i | 0.797098 | + | 0.603850i | \(0.206367\pi\) | ||||
−0.797098 | + | 0.603850i | \(0.793633\pi\) | |||||||
\(72\) | 5.78002 | − | 6.02448i | 0.681181 | − | 0.709992i | ||||
\(73\) | 13.6322 | − | 7.87057i | 1.59553 | − | 0.921181i | 0.603199 | − | 0.797591i | \(-0.293893\pi\) |
0.992333 | − | 0.123590i | \(-0.0394408\pi\) | |||||||
\(74\) | −1.37591 | + | 0.794384i | −0.159947 | + | 0.0923453i | ||||
\(75\) | −0.810735 | − | 5.70137i | −0.0936156 | − | 0.658338i | ||||
\(76\) | 2.34019i | 0.268438i | ||||||||
\(77\) | −0.336841 | + | 3.94869i | −0.0383866 | + | 0.449995i | ||||
\(78\) | −1.15649 | + | 0.906583i | −0.130947 | + | 0.102650i | ||||
\(79\) | −4.62175 | + | 8.00511i | −0.519988 | + | 0.900645i | 0.479742 | + | 0.877410i | \(0.340730\pi\) |
−0.999730 | + | 0.0232359i | \(0.992603\pi\) | |||||||
\(80\) | 0.287609 | + | 0.498153i | 0.0321556 | + | 0.0556952i | ||||
\(81\) | 0.372610 | + | 8.99228i | 0.0414011 | + | 0.999143i | ||||
\(82\) | 6.41793 | + | 3.70539i | 0.708741 | + | 0.409192i | ||||
\(83\) | 12.4457 | 1.36609 | 0.683047 | − | 0.730375i | \(-0.260655\pi\) | ||||
0.683047 | + | 0.730375i | \(0.260655\pi\) | |||||||
\(84\) | 5.23731 | + | 2.64356i | 0.571437 | + | 0.288436i | ||||
\(85\) | 4.68982 | 0.508683 | ||||||||
\(86\) | −5.10670 | − | 2.94836i | −0.550670 | − | 0.317929i | ||||
\(87\) | −2.39771 | + | 5.96244i | −0.257061 | + | 0.639240i | ||||
\(88\) | −2.08426 | − | 3.61005i | −0.222183 | − | 0.384832i | ||||
\(89\) | −1.78870 | + | 3.09812i | −0.189602 | + | 0.328400i | −0.945118 | − | 0.326731i | \(-0.894053\pi\) |
0.755516 | + | 0.655131i | \(0.227386\pi\) | |||||||
\(90\) | 7.13123 | + | 1.75339i | 0.751698 | + | 0.184824i | ||||
\(91\) | −2.17056 | − | 1.51284i | −0.227536 | − | 0.158589i | ||||
\(92\) | 3.11302i | 0.324555i | ||||||||
\(93\) | −16.6053 | + | 2.36128i | −1.72189 | + | 0.244853i | ||||
\(94\) | 1.83195 | − | 1.05768i | 0.188951 | − | 0.109091i | ||||
\(95\) | −4.56758 | + | 2.63709i | −0.468624 | + | 0.270560i | ||||
\(96\) | −9.83443 | + | 1.39845i | −1.00372 | + | 0.142729i | ||||
\(97\) | 1.31690i | 0.133711i | 0.997763 | + | 0.0668554i | \(0.0212966\pi\) | ||||
−0.997763 | + | 0.0668554i | \(0.978703\pi\) | |||||||
\(98\) | 1.00590 | − | 5.85302i | 0.101611 | − | 0.591244i | ||||
\(99\) | 4.36368 | + | 1.07292i | 0.438567 | + | 0.107833i | ||||
\(100\) | −2.12822 | + | 3.68619i | −0.212822 | + | 0.368619i | ||||
\(101\) | −5.63250 | − | 9.75577i | −0.560454 | − | 0.970735i | −0.997457 | − | 0.0712749i | \(-0.977293\pi\) |
0.437002 | − | 0.899460i | \(-0.356040\pi\) | |||||||
\(102\) | −0.891160 | + | 2.21607i | −0.0882380 | + | 0.219424i | ||||
\(103\) | 6.04261 | + | 3.48870i | 0.595396 | + | 0.343752i | 0.767228 | − | 0.641374i | \(-0.221635\pi\) |
−0.171832 | + | 0.985126i | \(0.554969\pi\) | |||||||
\(104\) | 2.78294 | 0.272890 | ||||||||
\(105\) | 0.742082 | + | 13.2011i | 0.0724198 | + | 1.28830i | ||||
\(106\) | −1.72701 | −0.167742 | ||||||||
\(107\) | −1.30816 | − | 0.755267i | −0.126465 | − | 0.0730145i | 0.435433 | − | 0.900221i | \(-0.356595\pi\) |
−0.561898 | + | 0.827207i | \(0.689929\pi\) | |||||||
\(108\) | 3.88374 | − | 5.40074i | 0.373713 | − | 0.519686i | ||||
\(109\) | −6.30615 | − | 10.9226i | −0.604020 | − | 1.04619i | −0.992206 | − | 0.124612i | \(-0.960231\pi\) |
0.388186 | − | 0.921581i | \(-0.373102\pi\) | |||||||
\(110\) | 1.83332 | − | 3.17540i | 0.174800 | − | 0.302762i | ||||
\(111\) | −2.55269 | + | 2.00108i | −0.242291 | + | 0.189934i | ||||
\(112\) | −0.223952 | − | 0.477562i | −0.0211615 | − | 0.0451254i | ||||
\(113\) | 4.59986i | 0.432719i | 0.976314 | + | 0.216359i | \(0.0694183\pi\) | ||||
−0.976314 | + | 0.216359i | \(0.930582\pi\) | |||||||
\(114\) | −0.378167 | − | 2.65941i | −0.0354186 | − | 0.249076i | ||||
\(115\) | −6.07601 | + | 3.50799i | −0.566591 | + | 0.327121i | ||||
\(116\) | 4.11363 | − | 2.37500i | 0.381941 | − | 0.220514i | ||||
\(117\) | −2.07694 | + | 2.16479i | −0.192014 | + | 0.200135i | ||||
\(118\) | − | 12.5779i | − | 1.15789i | ||||||
\(119\) | −4.28493 | − | 0.365525i | −0.392799 | − | 0.0335076i | ||||
\(120\) | −8.58018 | − | 10.9454i | −0.783260 | − | 0.999173i | ||||
\(121\) | −4.37817 | + | 7.58322i | −0.398016 | + | 0.689383i | ||||
\(122\) | 3.57508 | + | 6.19221i | 0.323672 | + | 0.560617i | ||||
\(123\) | 14.0369 | + | 5.64475i | 1.26567 | + | 0.508970i | ||||
\(124\) | 10.7361 | + | 6.19849i | 0.964130 | + | 0.556641i | ||||
\(125\) | 4.83340 | 0.432313 | ||||||||
\(126\) | −6.37891 | − | 2.15783i | −0.568278 | − | 0.192234i | ||||
\(127\) | 13.9505 | 1.23790 | 0.618952 | − | 0.785429i | \(-0.287557\pi\) | ||||
0.618952 | + | 0.785429i | \(0.287557\pi\) | |||||||
\(128\) | 6.65136 | + | 3.84016i | 0.587903 | + | 0.339426i | ||||
\(129\) | −11.1691 | − | 4.49149i | −0.983385 | − | 0.395454i | ||||
\(130\) | 1.22394 | + | 2.11992i | 0.107346 | + | 0.185930i | ||||
\(131\) | 10.7990 | − | 18.7044i | 0.943514 | − | 1.63421i | 0.184815 | − | 0.982773i | \(-0.440831\pi\) |
0.758699 | − | 0.651441i | \(-0.225835\pi\) | |||||||
\(132\) | −2.04911 | − | 2.61396i | −0.178352 | − | 0.227516i | ||||
\(133\) | 4.37878 | − | 2.05343i | 0.379688 | − | 0.178055i | ||||
\(134\) | − | 12.2160i | − | 1.05530i | ||||||
\(135\) | 14.9177 | + | 1.49435i | 1.28391 | + | 0.128613i | ||||
\(136\) | 3.91746 | − | 2.26175i | 0.335919 | − | 0.193943i | ||||
\(137\) | 3.11243 | − | 1.79696i | 0.265913 | − | 0.153525i | −0.361116 | − | 0.932521i | \(-0.617604\pi\) |
0.627029 | + | 0.778996i | \(0.284271\pi\) | |||||||
\(138\) | −0.503056 | − | 3.53767i | −0.0428230 | − | 0.301146i | ||||
\(139\) | 8.14169i | 0.690569i | 0.938498 | + | 0.345285i | \(0.112218\pi\) | ||||
−0.938498 | + | 0.345285i | \(0.887782\pi\) | |||||||
\(140\) | 5.58806 | − | 8.01752i | 0.472277 | − | 0.677604i | ||||
\(141\) | 3.39875 | − | 2.66431i | 0.286227 | − | 0.224376i | ||||
\(142\) | −4.31679 | + | 7.47690i | −0.362257 | + | 0.627447i | ||||
\(143\) | 0.748942 | + | 1.29721i | 0.0626297 | + | 0.108478i | ||||
\(144\) | −0.574381 | + | 0.166725i | −0.0478651 | + | 0.0138938i | ||||
\(145\) | 9.27108 | + | 5.35266i | 0.769921 | + | 0.444514i | ||||
\(146\) | 13.3548 | 1.10526 | ||||||||
\(147\) | 0.350881 | − | 12.1193i | 0.0289402 | − | 0.999581i | ||||
\(148\) | 2.39740 | 0.197065 | ||||||||
\(149\) | −11.4668 | − | 6.62035i | −0.939395 | − | 0.542360i | −0.0496245 | − | 0.998768i | \(-0.515802\pi\) |
−0.889771 | + | 0.456408i | \(0.849136\pi\) | |||||||
\(150\) | 1.82285 | − | 4.53294i | 0.148835 | − | 0.370113i | ||||
\(151\) | −0.793909 | − | 1.37509i | −0.0646074 | − | 0.111903i | 0.831912 | − | 0.554907i | \(-0.187246\pi\) |
−0.896520 | + | 0.443004i | \(0.853913\pi\) | |||||||
\(152\) | −2.54357 | + | 4.40559i | −0.206310 | + | 0.357340i | ||||
\(153\) | −1.16429 | + | 4.73527i | −0.0941270 | + | 0.382824i | ||||
\(154\) | −1.92253 | + | 2.75837i | −0.154922 | + | 0.222275i | ||||
\(155\) | 27.9397i | 2.24417i | ||||||||
\(156\) | 2.19531 | − | 0.312172i | 0.175765 | − | 0.0249938i | ||||
\(157\) | 11.5452 | − | 6.66563i | 0.921408 | − | 0.531975i | 0.0373240 | − | 0.999303i | \(-0.488117\pi\) |
0.884084 | + | 0.467328i | \(0.154783\pi\) | |||||||
\(158\) | −6.79157 | + | 3.92111i | −0.540308 | + | 0.311947i | ||||
\(159\) | −3.49064 | + | 0.496369i | −0.276826 | + | 0.0393646i | ||||
\(160\) | 16.5471i | 1.30816i | ||||||||
\(161\) | 5.82486 | − | 2.73157i | 0.459063 | − | 0.215277i | ||||
\(162\) | −3.54077 | + | 6.76504i | −0.278189 | + | 0.531512i | ||||
\(163\) | 7.66710 | − | 13.2798i | 0.600534 | − | 1.04016i | −0.392206 | − | 0.919877i | \(-0.628288\pi\) |
0.992740 | − | 0.120278i | \(-0.0383786\pi\) | |||||||
\(164\) | −5.59130 | − | 9.68442i | −0.436608 | − | 0.756226i | ||||
\(165\) | 2.79286 | − | 6.94506i | 0.217424 | − | 0.540672i | ||||
\(166\) | 9.14434 | + | 5.27949i | 0.709739 | + | 0.409768i | ||||
\(167\) | 7.98750 | 0.618091 | 0.309046 | − | 0.951047i | \(-0.399990\pi\) | ||||
0.309046 | + | 0.951047i | \(0.399990\pi\) | |||||||
\(168\) | 6.98634 | + | 10.6692i | 0.539008 | + | 0.823145i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 3.44580 | + | 1.98943i | 0.264281 | + | 0.152582i | ||||
\(171\) | −1.52871 | − | 5.26652i | −0.116903 | − | 0.402741i | ||||
\(172\) | 4.44897 | + | 7.70583i | 0.339230 | + | 0.587564i | ||||
\(173\) | −3.79516 | + | 6.57341i | −0.288541 | + | 0.499767i | −0.973462 | − | 0.228850i | \(-0.926503\pi\) |
0.684921 | + | 0.728617i | \(0.259837\pi\) | |||||||
\(174\) | −4.29097 | + | 3.36372i | −0.325297 | + | 0.255003i | ||||
\(175\) | 8.76477 | + | 0.747675i | 0.662554 | + | 0.0565189i | ||||
\(176\) | 0.298623i | 0.0225096i | ||||||||
\(177\) | −3.61510 | − | 25.4226i | −0.271727 | − | 1.91088i | ||||
\(178\) | −2.62846 | + | 1.51754i | −0.197011 | + | 0.113744i | ||||
\(179\) | −14.8321 | + | 8.56329i | −1.10860 | + | 0.640050i | −0.938466 | − | 0.345371i | \(-0.887753\pi\) |
−0.170134 | + | 0.985421i | \(0.554420\pi\) | |||||||
\(180\) | −7.99620 | − | 7.67173i | −0.596002 | − | 0.571817i | ||||
\(181\) | 15.1108i | 1.12318i | 0.827416 | + | 0.561589i | \(0.189810\pi\) | ||||
−0.827416 | + | 0.561589i | \(0.810190\pi\) | |||||||
\(182\) | −0.953044 | − | 2.03230i | −0.0706444 | − | 0.150644i | ||||
\(183\) | 9.00571 | + | 11.4882i | 0.665721 | + | 0.849233i | ||||
\(184\) | −3.38357 | + | 5.86052i | −0.249440 | + | 0.432043i | ||||
\(185\) | 2.70156 | + | 4.67924i | 0.198623 | + | 0.344025i | ||||
\(186\) | −13.2022 | − | 5.30909i | −0.968036 | − | 0.389281i | ||||
\(187\) | 2.10852 | + | 1.21736i | 0.154190 | + | 0.0890219i | ||||
\(188\) | −3.19199 | −0.232800 | ||||||||
\(189\) | −13.5133 | − | 2.52802i | −0.982948 | − | 0.183886i | ||||
\(190\) | −4.47464 | −0.324625 | ||||||||
\(191\) | 7.47297 | + | 4.31452i | 0.540725 | + | 0.312188i | 0.745373 | − | 0.666648i | \(-0.232271\pi\) |
−0.204648 | + | 0.978836i | \(0.565605\pi\) | |||||||
\(192\) | −7.17822 | − | 2.88662i | −0.518043 | − | 0.208324i | ||||
\(193\) | 5.19264 | + | 8.99391i | 0.373774 | + | 0.647396i | 0.990143 | − | 0.140062i | \(-0.0447301\pi\) |
−0.616369 | + | 0.787458i | \(0.711397\pi\) | |||||||
\(194\) | −0.558630 | + | 0.967576i | −0.0401073 | + | 0.0694679i | ||||
\(195\) | 3.08313 | + | 3.93303i | 0.220788 | + | 0.281650i | ||||
\(196\) | −5.73051 | + | 6.88980i | −0.409322 | + | 0.492129i | ||||
\(197\) | − | 13.7325i | − | 0.978403i | −0.872171 | − | 0.489202i | \(-0.837288\pi\) | ||
0.872171 | − | 0.489202i | \(-0.162712\pi\) | |||||||
\(198\) | 2.75103 | + | 2.63940i | 0.195507 | + | 0.187574i | ||||
\(199\) | −15.5817 | + | 8.99608i | −1.10455 | + | 0.637715i | −0.937414 | − | 0.348218i | \(-0.886787\pi\) |
−0.167141 | + | 0.985933i | \(0.553454\pi\) | |||||||
\(200\) | −8.01311 | + | 4.62637i | −0.566612 | + | 0.327134i | ||||
\(201\) | −3.51108 | − | 24.6911i | −0.247652 | − | 1.74158i | ||||
\(202\) | − | 9.55726i | − | 0.672446i | ||||||
\(203\) | −8.05348 | − | 5.61313i | −0.565244 | − | 0.393965i | ||||
\(204\) | 2.83656 | − | 2.22360i | 0.198599 | − | 0.155683i | ||||
\(205\) | 12.6014 | − | 21.8262i | 0.880119 | − | 1.52441i | ||||
\(206\) | 2.95983 | + | 5.12657i | 0.206221 | + | 0.357185i | ||||
\(207\) | −2.03356 | − | 7.00578i | −0.141342 | − | 0.486935i | ||||
\(208\) | −0.172654 | − | 0.0996816i | −0.0119714 | − | 0.00691168i | ||||
\(209\) | −2.73808 | −0.189397 | ||||||||
\(210\) | −5.05471 | + | 10.0142i | −0.348808 | + | 0.691045i | ||||
\(211\) | −9.05229 | −0.623185 | −0.311593 | − | 0.950216i | \(-0.600862\pi\) | ||||
−0.311593 | + | 0.950216i | \(0.600862\pi\) | |||||||
\(212\) | 2.25686 | + | 1.30300i | 0.155002 | + | 0.0894902i | ||||
\(213\) | −6.57615 | + | 16.3531i | −0.450590 | + | 1.12049i | ||||
\(214\) | −0.640772 | − | 1.10985i | −0.0438022 | − | 0.0758677i | ||||
\(215\) | −10.0268 | + | 17.3670i | −0.683825 | + | 1.18442i | ||||
\(216\) | 13.1816 | − | 5.94605i | 0.896891 | − | 0.404577i | ||||
\(217\) | 2.17762 | − | 25.5275i | 0.147826 | − | 1.73292i | ||||
\(218\) | − | 10.7003i | − | 0.724717i | ||||||
\(219\) | 26.9929 | − | 3.83839i | 1.82401 | − | 0.259374i | ||||
\(220\) | −4.79156 | + | 2.76641i | −0.323047 | + | 0.186511i | ||||
\(221\) | −1.40767 | + | 0.812718i | −0.0946900 | + | 0.0546693i | ||||
\(222\) | −2.72442 | + | 0.387412i | −0.182851 | + | 0.0260014i | ||||
\(223\) | − | 20.1273i | − | 1.34783i | −0.738811 | − | 0.673913i | \(-0.764612\pi\) | ||
0.738811 | − | 0.673913i | \(-0.235388\pi\) | |||||||
\(224\) | 1.28968 | − | 15.1185i | 0.0861705 | − | 1.01015i | ||||
\(225\) | 2.38153 | − | 9.68592i | 0.158769 | − | 0.645728i | ||||
\(226\) | −1.95127 | + | 3.37970i | −0.129797 | + | 0.224814i | ||||
\(227\) | −8.57904 | − | 14.8593i | −0.569411 | − | 0.986248i | −0.996624 | − | 0.0820975i | \(-0.973838\pi\) |
0.427214 | − | 0.904151i | \(-0.359495\pi\) | |||||||
\(228\) | −1.51229 | + | 3.76064i | −0.100154 | + | 0.249054i | ||||
\(229\) | −1.65212 | − | 0.953853i | −0.109175 | − | 0.0630324i | 0.444418 | − | 0.895819i | \(-0.353410\pi\) |
−0.553593 | + | 0.832787i | \(0.686744\pi\) | |||||||
\(230\) | −5.95238 | −0.392488 | ||||||||
\(231\) | −3.09304 | + | 6.12780i | −0.203507 | + | 0.403179i | ||||
\(232\) | 10.3256 | 0.677911 | ||||||||
\(233\) | 4.88191 | + | 2.81857i | 0.319825 | + | 0.184651i | 0.651314 | − | 0.758808i | \(-0.274218\pi\) |
−0.331490 | + | 0.943459i | \(0.607551\pi\) | |||||||
\(234\) | −2.44432 | + | 0.709511i | −0.159790 | + | 0.0463822i | ||||
\(235\) | −3.59697 | − | 6.23013i | −0.234640 | − | 0.406409i | ||||
\(236\) | −9.48983 | + | 16.4369i | −0.617735 | + | 1.06995i | ||||
\(237\) | −12.6002 | + | 9.87739i | −0.818470 | + | 0.641605i | ||||
\(238\) | −2.99325 | − | 2.08624i | −0.194024 | − | 0.135231i | ||||
\(239\) | 3.84106i | 0.248457i | 0.992254 | + | 0.124229i | \(0.0396456\pi\) | ||||
−0.992254 | + | 0.124229i | \(0.960354\pi\) | |||||||
\(240\) | 0.140264 | + | 0.986383i | 0.00905398 | + | 0.0636708i | ||||
\(241\) | −12.2622 | + | 7.07960i | −0.789879 | + | 0.456037i | −0.839920 | − | 0.542710i | \(-0.817398\pi\) |
0.0500409 | + | 0.998747i | \(0.484065\pi\) | |||||||
\(242\) | −6.43363 | + | 3.71446i | −0.413569 | + | 0.238774i | ||||
\(243\) | −5.21226 | + | 14.6912i | −0.334366 | + | 0.942443i | ||||
\(244\) | − | 10.7893i | − | 0.690716i | ||||||
\(245\) | −19.9051 | − | 3.42089i | −1.27169 | − | 0.218552i | ||||
\(246\) | 7.91898 | + | 10.1019i | 0.504896 | + | 0.644075i | ||||
\(247\) | 0.913984 | − | 1.58307i | 0.0581554 | − | 0.100728i | ||||
\(248\) | 13.4744 | + | 23.3383i | 0.855623 | + | 1.48198i | ||||
\(249\) | 20.0000 | + | 8.04272i | 1.26745 | + | 0.509687i | ||||
\(250\) | 3.55129 | + | 2.05034i | 0.224603 | + | 0.129675i | ||||
\(251\) | −0.186249 | −0.0117559 | −0.00587795 | − | 0.999983i | \(-0.501871\pi\) | ||||
−0.00587795 | + | 0.999983i | \(0.501871\pi\) | |||||||
\(252\) | 6.70793 | + | 7.63263i | 0.422560 | + | 0.480810i | ||||
\(253\) | −3.64233 | −0.228991 | ||||||||
\(254\) | 10.2500 | + | 5.91782i | 0.643140 | + | 0.371317i | ||||
\(255\) | 7.53647 | + | 3.03068i | 0.471952 | + | 0.189789i | ||||
\(256\) | 7.72490 | + | 13.3799i | 0.482806 | + | 0.836245i | ||||
\(257\) | 8.14195 | − | 14.1023i | 0.507881 | − | 0.879676i | −0.492077 | − | 0.870552i | \(-0.663762\pi\) |
0.999958 | − | 0.00912445i | \(-0.00290444\pi\) | |||||||
\(258\) | −6.30108 | − | 8.03803i | −0.392288 | − | 0.500426i | ||||
\(259\) | −2.10363 | − | 4.48583i | −0.130713 | − | 0.278736i | ||||
\(260\) | − | 3.69376i | − | 0.229077i | ||||||
\(261\) | −7.70615 | + | 8.03208i | −0.476999 | + | 0.497173i | ||||
\(262\) | 15.8689 | − | 9.16192i | 0.980385 | − | 0.566025i | ||||
\(263\) | −11.1183 | + | 6.41917i | −0.685585 | + | 0.395823i | −0.801956 | − | 0.597383i | \(-0.796207\pi\) |
0.116371 | + | 0.993206i | \(0.462874\pi\) | |||||||
\(264\) | −1.01647 | − | 7.14819i | −0.0625595 | − | 0.439941i | ||||
\(265\) | 5.87326i | 0.360791i | ||||||||
\(266\) | 4.08833 | + | 0.348753i | 0.250672 | + | 0.0213834i | ||||
\(267\) | −4.87649 | + | 3.82272i | −0.298436 | + | 0.233947i | ||||
\(268\) | −9.21678 | + | 15.9639i | −0.563005 | + | 0.975153i | ||||
\(269\) | −9.16739 | − | 15.8784i | −0.558945 | − | 0.968122i | −0.997585 | − | 0.0694587i | \(-0.977873\pi\) |
0.438639 | − | 0.898663i | \(-0.355461\pi\) | |||||||
\(270\) | 10.3267 | + | 7.42605i | 0.628462 | + | 0.451935i | ||||
\(271\) | 2.12427 | + | 1.22645i | 0.129040 | + | 0.0745013i | 0.563130 | − | 0.826368i | \(-0.309597\pi\) |
−0.434090 | + | 0.900869i | \(0.642930\pi\) | |||||||
\(272\) | −0.324052 | −0.0196485 | ||||||||
\(273\) | −2.51041 | − | 3.83377i | −0.151937 | − | 0.232031i | ||||
\(274\) | 3.04910 | 0.184203 | ||||||||
\(275\) | −4.31295 | − | 2.49008i | −0.260081 | − | 0.150158i | ||||
\(276\) | −2.01171 | + | 5.00258i | −0.121091 | + | 0.301120i | ||||
\(277\) | 0.892124 | + | 1.54520i | 0.0536026 | + | 0.0928424i | 0.891582 | − | 0.452860i | \(-0.149596\pi\) |
−0.837979 | + | 0.545702i | \(0.816263\pi\) | |||||||
\(278\) | −3.45372 | + | 5.98202i | −0.207140 | + | 0.358778i | ||||
\(279\) | −28.2104 | − | 6.93624i | −1.68891 | − | 0.415262i | ||||
\(280\) | 19.2343 | − | 9.01990i | 1.14947 | − | 0.539042i | ||||
\(281\) | − | 25.5292i | − | 1.52294i | −0.648198 | − | 0.761472i | \(-0.724477\pi\) | ||
0.648198 | − | 0.761472i | \(-0.275523\pi\) | |||||||
\(282\) | 3.62740 | − | 0.515817i | 0.216009 | − | 0.0307164i | ||||
\(283\) | −1.85950 | + | 1.07358i | −0.110536 | + | 0.0638179i | −0.554249 | − | 0.832351i | \(-0.686994\pi\) |
0.443713 | + | 0.896169i | \(0.353661\pi\) | |||||||
\(284\) | 11.2824 | − | 6.51388i | 0.669486 | − | 0.386528i | ||||
\(285\) | −9.04418 | + | 1.28608i | −0.535731 | + | 0.0761809i | ||||
\(286\) | 1.27081i | 0.0751446i | ||||||||
\(287\) | −13.2146 | + | 18.9598i | −0.780033 | + | 1.11916i | ||||
\(288\) | −16.7075 | − | 4.10796i | −0.984497 | − | 0.242064i | ||||
\(289\) | 7.17898 | − | 12.4344i | 0.422293 | − | 0.731433i | ||||
\(290\) | 4.54122 | + | 7.86562i | 0.266669 | + | 0.461885i | ||||
\(291\) | −0.851012 | + | 2.11623i | −0.0498872 | + | 0.124056i | ||||
\(292\) | −17.4521 | − | 10.0760i | −1.02131 | − | 0.589653i | ||||
\(293\) | −2.79728 | −0.163419 | −0.0817095 | − | 0.996656i | \(-0.526038\pi\) | ||||
−0.0817095 | + | 0.996656i | \(0.526038\pi\) | |||||||
\(294\) | 5.39883 | − | 8.75566i | 0.314866 | − | 0.510641i | ||||
\(295\) | −42.7754 | −2.49048 | ||||||||
\(296\) | 4.51329 | + | 2.60575i | 0.262330 | + | 0.151456i | ||||
\(297\) | 6.31902 | + | 4.54409i | 0.366666 | + | 0.263675i | ||||
\(298\) | −5.61673 | − | 9.72846i | −0.325368 | − | 0.563554i | ||||
\(299\) | 1.21582 | − | 2.10587i | 0.0703130 | − | 0.121786i | ||||
\(300\) | −5.80213 | + | 4.54834i | −0.334986 | + | 0.262598i | ||||
\(301\) | 10.5148 | − | 15.0862i | 0.606062 | − | 0.869552i | ||||
\(302\) | − | 1.34711i | − | 0.0775175i | ||||||
\(303\) | −2.74691 | − | 19.3172i | −0.157806 | − | 1.10974i | ||||
\(304\) | 0.315605 | − | 0.182215i | 0.0181012 | − | 0.0104507i | ||||
\(305\) | 21.0586 | − | 12.1582i | 1.20581 | − | 0.696177i | ||||
\(306\) | −2.86416 | + | 2.98530i | −0.163733 | + | 0.170658i | ||||
\(307\) | 15.3541i | 0.876304i | 0.898901 | + | 0.438152i | \(0.144367\pi\) | ||||
−0.898901 | + | 0.438152i | \(0.855633\pi\) | |||||||
\(308\) | 4.59350 | − | 2.15412i | 0.261739 | − | 0.122742i | ||||
\(309\) | 7.45589 | + | 9.51117i | 0.424151 | + | 0.541072i | ||||
\(310\) | −11.8521 | + | 20.5284i | −0.673151 | + | 1.16593i | ||||
\(311\) | 16.4732 | + | 28.5325i | 0.934111 | + | 1.61793i | 0.776212 | + | 0.630472i | \(0.217139\pi\) |
0.157899 | + | 0.987455i | \(0.449528\pi\) | |||||||
\(312\) | 4.47214 | + | 1.79841i | 0.253185 | + | 0.101815i | ||||
\(313\) | −4.29781 | − | 2.48134i | −0.242927 | − | 0.140254i | 0.373594 | − | 0.927592i | \(-0.378125\pi\) |
−0.616521 | + | 0.787338i | \(0.711459\pi\) | |||||||
\(314\) | 11.3103 | 0.638277 | ||||||||
\(315\) | −7.33839 | + | 21.6936i | −0.413471 | + | 1.22229i | ||||
\(316\) | 11.8336 | 0.665694 | ||||||||
\(317\) | −26.0415 | − | 15.0351i | −1.46264 | − | 0.844455i | −0.463505 | − | 0.886094i | \(-0.653409\pi\) |
−0.999133 | + | 0.0416395i | \(0.986742\pi\) | |||||||
\(318\) | −2.77527 | − | 1.11604i | −0.155630 | − | 0.0625842i | ||||
\(319\) | 2.77882 | + | 4.81306i | 0.155584 | + | 0.269480i | ||||
\(320\) | −6.44410 | + | 11.1615i | −0.360236 | + | 0.623947i | ||||
\(321\) | −1.61412 | − | 2.05907i | −0.0900914 | − | 0.114926i | ||||
\(322\) | 5.43849 | + | 0.463928i | 0.303075 | + | 0.0258537i | ||||
\(323\) | − | 2.97124i | − | 0.165324i | ||||||
\(324\) | 9.73119 | − | 6.16912i | 0.540622 | − | 0.342729i | ||||
\(325\) | 2.87936 | − | 1.66240i | 0.159718 | − | 0.0922134i | ||||
\(326\) | 11.2666 | − | 6.50480i | 0.624002 | − | 0.360268i | ||||
\(327\) | −3.07544 | − | 21.6276i | −0.170072 | − | 1.19601i | ||||
\(328\) | − | 24.3089i | − | 1.34224i | ||||||
\(329\) | 2.80085 | + | 5.97261i | 0.154416 | + | 0.329281i | ||||
\(330\) | 4.99813 | − | 3.91808i | 0.275138 | − | 0.215683i | ||||
\(331\) | −12.2231 | + | 21.1709i | −0.671840 | + | 1.16366i | 0.305542 | + | 0.952179i | \(0.401162\pi\) |
−0.977382 | + | 0.211482i | \(0.932171\pi\) | |||||||
\(332\) | −7.96656 | − | 13.7985i | −0.437222 | − | 0.757291i | ||||
\(333\) | −5.39527 | + | 1.56608i | −0.295659 | + | 0.0858208i | ||||
\(334\) | 5.86873 | + | 3.38831i | 0.321122 | + | 0.185400i | ||||
\(335\) | −41.5446 | −2.26982 | ||||||||
\(336\) | −0.0512755 | − | 0.912157i | −0.00279731 | − | 0.0497623i | ||||
\(337\) | −1.50589 | −0.0820310 | −0.0410155 | − | 0.999159i | \(-0.513059\pi\) | ||||
−0.0410155 | + | 0.999159i | \(0.513059\pi\) | |||||||
\(338\) | −0.734739 | − | 0.424202i | −0.0399645 | − | 0.0230735i | ||||
\(339\) | −2.97254 | + | 7.39190i | −0.161446 | + | 0.401473i | ||||
\(340\) | −3.00198 | − | 5.19959i | −0.162805 | − | 0.281987i | ||||
\(341\) | −7.25241 | + | 12.5615i | −0.392740 | + | 0.680245i | ||||
\(342\) | 1.11087 | − | 4.51800i | 0.0600687 | − | 0.244306i | ||||
\(343\) | 17.9200 | + | 4.67695i | 0.967589 | + | 0.252532i | ||||
\(344\) | 19.3425i | 1.04288i | ||||||||
\(345\) | −12.0310 | + | 1.71081i | −0.647727 | + | 0.0921067i | ||||
\(346\) | −5.57690 | + | 3.21983i | −0.299816 | + | 0.173099i | ||||
\(347\) | 28.0438 | − | 16.1911i | 1.50547 | − | 0.869184i | 0.505491 | − | 0.862832i | \(-0.331311\pi\) |
0.999980 | − | 0.00635188i | \(-0.00202188\pi\) | |||||||
\(348\) | 8.14531 | − | 1.15826i | 0.436635 | − | 0.0620894i | ||||
\(349\) | − | 4.22849i | − | 0.226346i | −0.993575 | − | 0.113173i | \(-0.963899\pi\) | ||
0.993575 | − | 0.113173i | \(-0.0361014\pi\) | |||||||
\(350\) | 6.12265 | + | 4.26738i | 0.327270 | + | 0.228101i | ||||
\(351\) | −4.73655 | + | 2.13660i | −0.252818 | + | 0.114043i | ||||
\(352\) | −4.29520 | + | 7.43951i | −0.228935 | + | 0.396527i | ||||
\(353\) | 10.2792 | + | 17.8041i | 0.547107 | + | 0.947617i | 0.998471 | + | 0.0552773i | \(0.0176043\pi\) |
−0.451364 | + | 0.892340i | \(0.649062\pi\) | |||||||
\(354\) | 8.12817 | − | 20.2125i | 0.432008 | − | 1.07428i | ||||
\(355\) | 25.4276 | + | 14.6806i | 1.34956 | + | 0.779168i | ||||
\(356\) | 4.57983 | 0.242730 | ||||||||
\(357\) | −6.64961 | − | 3.35642i | −0.351934 | − | 0.177641i | ||||
\(358\) | −14.5303 | −0.767948 | ||||||||
\(359\) | 8.53293 | + | 4.92649i | 0.450351 | + | 0.260010i | 0.707978 | − | 0.706234i | \(-0.249607\pi\) |
−0.257627 | + | 0.966244i | \(0.582941\pi\) | |||||||
\(360\) | −6.71503 | − | 23.1338i | −0.353913 | − | 1.21926i | ||||
\(361\) | −7.82927 | − | 13.5607i | −0.412067 | − | 0.713720i | ||||
\(362\) | −6.41004 | + | 11.1025i | −0.336904 | + | 0.583535i | ||||
\(363\) | −11.9361 | + | 9.35682i | −0.626483 | + | 0.491106i | ||||
\(364\) | −0.287891 | + | 3.37486i | −0.0150896 | + | 0.176891i | ||||
\(365\) | − | 45.4175i | − | 2.37726i | ||||||
\(366\) | 1.74352 | + | 12.2611i | 0.0911355 | + | 0.640897i | ||||
\(367\) | −15.4397 | + | 8.91413i | −0.805947 | + | 0.465314i | −0.845547 | − | 0.533902i | \(-0.820725\pi\) |
0.0395991 | + | 0.999216i | \(0.487392\pi\) | |||||||
\(368\) | 0.419833 | − | 0.242391i | 0.0218853 | − | 0.0126355i | ||||
\(369\) | 18.9094 | + | 18.1420i | 0.984382 | + | 0.944437i | ||||
\(370\) | 4.58403i | 0.238312i | ||||||||
\(371\) | 0.457761 | − | 5.36620i | 0.0237658 | − | 0.278599i | ||||
\(372\) | 13.2471 | + | 16.8988i | 0.686830 | + | 0.876162i | ||||
\(373\) | −11.2001 | + | 19.3991i | −0.579917 | + | 1.00445i | 0.415572 | + | 0.909560i | \(0.363582\pi\) |
−0.995488 | + | 0.0948847i | \(0.969752\pi\) | |||||||
\(374\) | 1.03281 | + | 1.78888i | 0.0534053 | + | 0.0925007i | ||||
\(375\) | 7.76719 | + | 3.12346i | 0.401096 | + | 0.161295i | ||||
\(376\) | −6.00917 | − | 3.46940i | −0.309899 | − | 0.178921i | ||||
\(377\) | −3.71033 | −0.191092 | ||||||||
\(378\) | −8.85636 | − | 7.58980i | −0.455522 | − | 0.390377i | ||||
\(379\) | 1.91843 | 0.0985431 | 0.0492716 | − | 0.998785i | \(-0.484310\pi\) | ||||
0.0492716 | + | 0.998785i | \(0.484310\pi\) | |||||||
\(380\) | 5.84747 | + | 3.37604i | 0.299969 | + | 0.173187i | ||||
\(381\) | 22.4182 | + | 9.01514i | 1.14852 | + | 0.461860i | ||||
\(382\) | 3.66046 | + | 6.34010i | 0.187285 | + | 0.324388i | ||||
\(383\) | 7.94693 | − | 13.7645i | 0.406069 | − | 0.703332i | −0.588376 | − | 0.808587i | \(-0.700233\pi\) |
0.994445 | + | 0.105255i | \(0.0335659\pi\) | |||||||
\(384\) | 8.20701 | + | 10.4693i | 0.418812 | + | 0.534262i | ||||
\(385\) | 9.38072 | + | 6.53819i | 0.478086 | + | 0.333217i | ||||
\(386\) | 8.81091i | 0.448463i | ||||||||
\(387\) | −15.0461 | − | 14.4355i | −0.764834 | − | 0.733798i | ||||
\(388\) | 1.46004 | − | 0.842954i | 0.0741222 | − | 0.0427945i | ||||
\(389\) | 9.74647 | − | 5.62713i | 0.494166 | − | 0.285307i | −0.232135 | − | 0.972684i | \(-0.574571\pi\) |
0.726301 | + | 0.687377i | \(0.241238\pi\) | |||||||
\(390\) | 0.596901 | + | 4.19762i | 0.0302253 | + | 0.212555i | ||||
\(391\) | − | 3.95249i | − | 0.199886i | ||||||
\(392\) | −18.2767 | + | 6.74207i | −0.923114 | + | 0.340526i | ||||
\(393\) | 29.4411 | − | 23.0791i | 1.48511 | − | 1.16419i | ||||
\(394\) | 5.82537 | − | 10.0898i | 0.293478 | − | 0.508319i | ||||
\(395\) | 13.3350 | + | 23.0969i | 0.670958 | + | 1.16213i | ||||
\(396\) | −1.60367 | − | 5.52478i | −0.0805877 | − | 0.277631i | ||||
\(397\) | −2.13361 | − | 1.23184i | −0.107083 | − | 0.0618243i | 0.445502 | − | 0.895281i | \(-0.353025\pi\) |
−0.552585 | + | 0.833457i | \(0.686359\pi\) | |||||||
\(398\) | −15.2646 | −0.765146 | ||||||||
\(399\) | 8.36360 | − | 0.470147i | 0.418704 | − | 0.0235368i | ||||
\(400\) | 0.662844 | 0.0331422 | ||||||||
\(401\) | −2.58757 | − | 1.49394i | −0.129217 | − | 0.0746036i | 0.433998 | − | 0.900914i | \(-0.357102\pi\) |
−0.563215 | + | 0.826310i | \(0.690436\pi\) | |||||||
\(402\) | 7.89430 | − | 19.6310i | 0.393732 | − | 0.979103i | ||||
\(403\) | −4.84177 | − | 8.38619i | −0.241186 | − | 0.417746i | ||||
\(404\) | −7.21078 | + | 12.4894i | −0.358750 | + | 0.621373i | ||||
\(405\) | 23.0067 | + | 12.0416i | 1.14321 | + | 0.598349i | ||||
\(406\) | −3.53611 | − | 7.54049i | −0.175494 | − | 0.374228i | ||||
\(407\) | 2.80502i | 0.139040i | ||||||||
\(408\) | 7.75689 | − | 1.10303i | 0.384023 | − | 0.0546081i | ||||
\(409\) | 8.02337 | − | 4.63229i | 0.396730 | − | 0.229052i | −0.288342 | − | 0.957527i | \(-0.593104\pi\) |
0.685072 | + | 0.728475i | \(0.259771\pi\) | |||||||
\(410\) | 18.5175 | − | 10.6911i | 0.914513 | − | 0.527994i | ||||
\(411\) | 6.16286 | − | 0.876358i | 0.303992 | − | 0.0432276i | ||||
\(412\) | − | 8.93255i | − | 0.440075i | ||||||
\(413\) | 39.0824 | + | 3.33391i | 1.92312 | + | 0.164051i | ||||
\(414\) | 1.47773 | − | 6.01006i | 0.0726262 | − | 0.295378i | ||||
\(415\) | 17.9546 | − | 31.0983i | 0.881358 | − | 1.52656i | ||||
\(416\) | −2.86751 | − | 4.96668i | −0.140591 | − | 0.243511i | ||||
\(417\) | −5.26136 | + | 13.0836i | −0.257650 | + | 0.640704i | ||||
\(418\) | −2.01178 | − | 1.16150i | −0.0983992 | − | 0.0568108i | ||||
\(419\) | 17.3067 | 0.845489 | 0.422745 | − | 0.906249i | \(-0.361067\pi\) | ||||
0.422745 | + | 0.906249i | \(0.361067\pi\) | |||||||
\(420\) | 14.1610 | − | 9.27287i | 0.690988 | − | 0.452470i | ||||
\(421\) | −11.0648 | −0.539264 | −0.269632 | − | 0.962963i | \(-0.586902\pi\) | ||||
−0.269632 | + | 0.962963i | \(0.586902\pi\) | |||||||
\(422\) | −6.65107 | − | 3.84000i | −0.323769 | − | 0.186928i | ||||
\(423\) | 7.18348 | − | 2.08514i | 0.349273 | − | 0.101383i | ||||
\(424\) | 2.83248 | + | 4.90599i | 0.137557 | + | 0.238256i | ||||
\(425\) | 2.70213 | − | 4.68022i | 0.131072 | − | 0.227024i | ||||
\(426\) | −11.7688 | + | 9.22563i | −0.570198 | + | 0.446983i | ||||
\(427\) | −20.1882 | + | 9.46724i | −0.976974 | + | 0.458152i | ||||
\(428\) | 1.93380i | 0.0934739i | ||||||||
\(429\) | 0.365251 | + | 2.56857i | 0.0176345 | + | 0.124012i | ||||
\(430\) | −14.7342 | + | 8.50681i | −0.710548 | + | 0.410235i | ||||
\(431\) | 18.7270 | − | 10.8120i | 0.902048 | − | 0.520798i | 0.0241841 | − | 0.999708i | \(-0.492301\pi\) |
0.877864 | + | 0.478910i | \(0.158968\pi\) | |||||||
\(432\) | −1.03076 | − | 0.103255i | −0.0495926 | − | 0.00496784i | ||||
\(433\) | − | 14.4547i | − | 0.694649i | −0.937745 | − | 0.347325i | \(-0.887090\pi\) | ||
0.937745 | − | 0.347325i | \(-0.112910\pi\) | |||||||
\(434\) | 12.4288 | − | 17.8323i | 0.596602 | − | 0.855979i | ||||
\(435\) | 11.4394 | + | 14.5928i | 0.548479 | + | 0.699673i | ||||
\(436\) | −8.07320 | + | 13.9832i | −0.386636 | + | 0.669674i | ||||
\(437\) | 2.22249 | + | 3.84946i | 0.106316 | + | 0.184145i | ||||
\(438\) | 21.4610 | + | 8.63023i | 1.02545 | + | 0.412368i | ||||
\(439\) | −12.6049 | − | 7.27745i | −0.601600 | − | 0.347334i | 0.168071 | − | 0.985775i | \(-0.446246\pi\) |
−0.769671 | + | 0.638441i | \(0.779580\pi\) | |||||||
\(440\) | −12.0273 | −0.573381 | ||||||||
\(441\) | 8.39563 | − | 19.2487i | 0.399792 | − | 0.916606i | ||||
\(442\) | −1.37903 | −0.0655935 | ||||||||
\(443\) | −12.7360 | − | 7.35313i | −0.605106 | − | 0.349358i | 0.165942 | − | 0.986136i | \(-0.446934\pi\) |
−0.771048 | + | 0.636778i | \(0.780267\pi\) | |||||||
\(444\) | 3.85257 | + | 1.54926i | 0.182835 | + | 0.0735244i | ||||
\(445\) | 5.16089 | + | 8.93892i | 0.244650 | + | 0.423745i | ||||
\(446\) | 8.53805 | − | 14.7883i | 0.404289 | − | 0.700248i | ||||
\(447\) | −14.1487 | − | 18.0489i | −0.669210 | − | 0.853684i | ||||
\(448\) | 6.75769 | − | 9.69564i | 0.319271 | − | 0.458076i | ||||
\(449\) | 14.2365i | 0.671862i | 0.941887 | + | 0.335931i | \(0.109051\pi\) | ||||
−0.941887 | + | 0.335931i | \(0.890949\pi\) | |||||||
\(450\) | 5.85859 | − | 6.10638i | 0.276177 | − | 0.287857i | ||||
\(451\) | 11.3310 | − | 6.54198i | 0.533558 | − | 0.308050i | ||||
\(452\) | 5.09985 | − | 2.94440i | 0.239877 | − | 0.138493i | ||||
\(453\) | −0.387181 | − | 2.72279i | −0.0181913 | − | 0.127928i | ||||
\(454\) | − | 14.5570i | − | 0.683193i | ||||||
\(455\) | −6.91149 | + | 3.24114i | −0.324015 | + | 0.151947i | ||||
\(456\) | −6.93446 | + | 5.43599i | −0.324736 | + | 0.254563i | ||||
\(457\) | 4.10055 | − | 7.10235i | 0.191815 | − | 0.332234i | −0.754036 | − | 0.656833i | \(-0.771896\pi\) |
0.945852 | + | 0.324598i | \(0.105229\pi\) | |||||||
\(458\) | −0.809252 | − | 1.40167i | −0.0378139 | − | 0.0654955i | ||||
\(459\) | −4.93104 | + | 6.85711i | −0.230161 | + | 0.320062i | ||||
\(460\) | 7.77858 | + | 4.49096i | 0.362678 | + | 0.209392i | ||||
\(461\) | 33.7358 | 1.57124 | 0.785618 | − | 0.618712i | \(-0.212345\pi\) | ||||
0.785618 | + | 0.618712i | \(0.212345\pi\) | |||||||
\(462\) | −4.87200 | + | 3.19026i | −0.226666 | + | 0.148424i | ||||
\(463\) | −25.2866 | −1.17517 | −0.587583 | − | 0.809164i | \(-0.699920\pi\) | ||||
−0.587583 | + | 0.809164i | \(0.699920\pi\) | |||||||
\(464\) | −0.640602 | − | 0.369852i | −0.0297392 | − | 0.0171699i | ||||
\(465\) | −18.0553 | + | 44.8986i | −0.837294 | + | 2.08212i | ||||
\(466\) | 2.39129 | + | 4.14183i | 0.110774 | + | 0.191867i | ||||
\(467\) | 20.1614 | − | 34.9205i | 0.932957 | − | 1.61593i | 0.154721 | − | 0.987958i | \(-0.450552\pi\) |
0.778236 | − | 0.627971i | \(-0.216115\pi\) | |||||||
\(468\) | 3.72955 | + | 0.917005i | 0.172399 | + | 0.0423886i | ||||
\(469\) | 37.9579 | + | 3.23798i | 1.75273 | + | 0.149516i | ||||
\(470\) | − | 6.10336i | − | 0.281527i | ||||||
\(471\) | 22.8604 | − | 3.25075i | 1.05335 | − | 0.149787i | ||||
\(472\) | −35.7307 | + | 20.6291i | −1.64464 | + | 0.949533i | ||||
\(473\) | −9.01604 | + | 5.20542i | −0.414558 | + | 0.239345i | ||||
\(474\) | −13.4478 | + | 1.91228i | −0.617680 | + | 0.0878341i | ||||
\(475\) | 6.07763i | 0.278861i | ||||||||
\(476\) | 2.33756 | + | 4.98466i | 0.107142 | + | 0.228472i | ||||
\(477\) | −5.93017 | − | 1.45808i | −0.271524 | − | 0.0667610i | ||||
\(478\) | −1.62938 | + | 2.82218i | −0.0745263 | + | 0.129083i | ||||
\(479\) | −7.11025 | − | 12.3153i | −0.324876 | − | 0.562701i | 0.656612 | − | 0.754229i | \(-0.271989\pi\) |
−0.981487 | + | 0.191528i | \(0.938656\pi\) | |||||||
\(480\) | −10.6932 | + | 26.5909i | −0.488074 | + | 1.21370i | ||||
\(481\) | −1.62177 | − | 0.936328i | −0.0739463 | − | 0.0426929i | ||||
\(482\) | −12.0127 | −0.547164 | ||||||||
\(483\) | 11.1257 | − | 0.625411i | 0.506235 | − | 0.0284572i | ||||
\(484\) | 11.2100 | 0.509544 | ||||||||
\(485\) | 3.29056 | + | 1.89980i | 0.149417 | + | 0.0862657i | ||||
\(486\) | −10.0617 | + | 8.58318i | −0.456408 | + | 0.389341i | ||||
\(487\) | 9.64867 | + | 16.7120i | 0.437223 | + | 0.757292i | 0.997474 | − | 0.0710304i | \(-0.0226287\pi\) |
−0.560251 | + | 0.828323i | \(0.689295\pi\) | |||||||
\(488\) | 11.7270 | − | 20.3118i | 0.530856 | − | 0.919470i | ||||
\(489\) | 20.9026 | − | 16.3858i | 0.945250 | − | 0.740990i | ||||
\(490\) | −13.1739 | − | 10.9572i | −0.595136 | − | 0.494998i | ||||
\(491\) | 29.6404i | 1.33765i | 0.743420 | + | 0.668825i | \(0.233203\pi\) | ||||
−0.743420 | + | 0.668825i | \(0.766797\pi\) | |||||||
\(492\) | −2.72682 | − | 19.1759i | −0.122934 | − | 0.864518i | ||||
\(493\) | −5.22291 | + | 3.01545i | −0.235228 | + | 0.135809i | ||||
\(494\) | 1.34308 | − | 0.775428i | 0.0604280 | − | 0.0348881i | ||||
\(495\) | 8.97614 | − | 9.35579i | 0.403448 | − | 0.420511i | ||||
\(496\) | − | 1.93054i | − | 0.0866839i | ||||||
\(497\) | −22.0882 | − | 15.3950i | −0.990789 | − | 0.690562i | ||||
\(498\) | 11.2831 | + | 14.3934i | 0.505606 | + | 0.644981i | ||||
\(499\) | −12.5372 | + | 21.7151i | −0.561243 | + | 0.972101i | 0.436146 | + | 0.899876i | \(0.356343\pi\) |
−0.997388 | + | 0.0722250i | \(0.976990\pi\) | |||||||
\(500\) | −3.09389 | − | 5.35877i | −0.138363 | − | 0.239652i | ||||
\(501\) | 12.8358 | + | 5.16172i | 0.573460 | + | 0.230609i | ||||
\(502\) | −0.136844 | − | 0.0790070i | −0.00610765 | − | 0.00352626i | ||||
\(503\) | −15.9328 | −0.710409 | −0.355205 | − | 0.934789i | \(-0.615589\pi\) | ||||
−0.355205 | + | 0.934789i | \(0.615589\pi\) | |||||||
\(504\) | 4.33225 | + | 21.6599i | 0.192974 | + | 0.964810i | ||||
\(505\) | −32.5026 | −1.44635 | ||||||||
\(506\) | −2.67616 | − | 1.54508i | −0.118970 | − | 0.0686873i | ||||
\(507\) | −1.60698 | − | 0.646225i | −0.0713686 | − | 0.0286998i | ||||
\(508\) | −8.92978 | − | 15.4668i | −0.396195 | − | 0.686230i | ||||
\(509\) | −9.92936 | + | 17.1981i | −0.440111 | + | 0.762294i | −0.997697 | − | 0.0678245i | \(-0.978394\pi\) |
0.557586 | + | 0.830119i | \(0.311728\pi\) | |||||||
\(510\) | 4.25172 | + | 5.42374i | 0.188269 | + | 0.240167i | ||||
\(511\) | −3.53984 | + | 41.4965i | −0.156593 | + | 1.83569i | ||||
\(512\) | − | 2.25299i | − | 0.0995689i | ||||||
\(513\) | 0.946746 | − | 9.45110i | 0.0417998 | − | 0.417276i | ||||
\(514\) | 11.9644 | − | 6.90766i | 0.527728 | − | 0.304684i | ||||
\(515\) | 17.4346 | − | 10.0659i | 0.768260 | − | 0.443555i | ||||
\(516\) | 2.16971 | + | 15.2582i | 0.0955162 | + | 0.671704i | ||||
\(517\) | − | 3.73472i | − | 0.164253i | ||||||
\(518\) | 0.357279 | − | 4.18828i | 0.0156979 | − | 0.184022i | ||||
\(519\) | −10.3467 | + | 8.11083i | −0.454168 | + | 0.356026i | ||||
\(520\) | 4.01478 | − | 6.95380i | 0.176060 | − | 0.304944i | ||||
\(521\) | −0.996831 | − | 1.72656i | −0.0436719 | − | 0.0756420i | 0.843363 | − | 0.537344i | \(-0.180572\pi\) |
−0.887035 | + | 0.461702i | \(0.847239\pi\) | |||||||
\(522\) | −9.06923 | + | 2.63252i | −0.396949 | + | 0.115222i | ||||
\(523\) | −26.9491 | − | 15.5591i | −1.17840 | − | 0.680351i | −0.222758 | − | 0.974874i | \(-0.571506\pi\) |
−0.955644 | + | 0.294523i | \(0.904839\pi\) | |||||||
\(524\) | −27.6500 | −1.20790 | ||||||||
\(525\) | 13.6017 | + | 6.86551i | 0.593625 | + | 0.299635i | ||||
\(526\) | −10.8921 | −0.474918 | ||||||||
\(527\) | −13.6312 | − | 7.86998i | −0.593785 | − | 0.342822i | ||||
\(528\) | −0.192978 | + | 0.479882i | −0.00839827 | + | 0.0208842i | ||||
\(529\) | −8.54354 | − | 14.7978i | −0.371458 | − | 0.643385i | ||||
\(530\) | −2.49145 | + | 4.31531i | −0.108221 | + | 0.187445i | ||||
\(531\) | 10.6193 | − | 43.1899i | 0.460840 | − | 1.87428i | ||||
\(532\) | −5.07951 | − | 3.54032i | −0.220225 | − | 0.153492i | ||||
\(533\) | 8.73497i | 0.378354i | ||||||||
\(534\) | −5.20455 | + | 0.740087i | −0.225223 | + | 0.0320267i | ||||
\(535\) | −3.77440 | + | 2.17915i | −0.163182 | + | 0.0942130i | ||||
\(536\) | −34.7027 | + | 20.0356i | −1.49893 | + | 0.865406i | ||||
\(537\) | −29.3687 | + | 4.17622i | −1.26735 | + | 0.180217i | ||||
\(538\) | − | 15.5553i | − | 0.670636i | ||||||
\(539\) | −8.06126 | − | 6.70486i | −0.347223 | − | 0.288799i | ||||
\(540\) | −7.89210 | − | 17.4957i | −0.339622 | − | 0.752894i | ||||
\(541\) | −9.91521 | + | 17.1736i | −0.426288 | + | 0.738353i | −0.996540 | − | 0.0831173i | \(-0.973512\pi\) |
0.570252 | + | 0.821470i | \(0.306846\pi\) | |||||||
\(542\) | 1.04052 | + | 1.80224i | 0.0446942 | + | 0.0774127i | ||||
\(543\) | −9.76499 | + | 24.2828i | −0.419056 | + | 1.04208i | ||||
\(544\) | −8.07301 | − | 4.66096i | −0.346128 | − | 0.199837i | ||||
\(545\) | −36.3899 | −1.55877 | ||||||||
\(546\) | −0.218206 | − | 3.88175i | −0.00933837 | − | 0.166123i | ||||
\(547\) | 43.9288 | 1.87826 | 0.939130 | − | 0.343562i | \(-0.111634\pi\) | ||||
0.939130 | + | 0.343562i | \(0.111634\pi\) | |||||||
\(548\) | −3.98457 | − | 2.30049i | −0.170212 | − | 0.0982721i | ||||
\(549\) | 7.04805 | + | 24.2811i | 0.300804 | + | 1.03629i | ||||
\(550\) | −2.11260 | − | 3.65912i | −0.0900814 | − | 0.156026i | ||||
\(551\) | 3.39118 | − | 5.87370i | 0.144469 | − | 0.250228i | ||||
\(552\) | −9.22455 | + | 7.23120i | −0.392623 | + | 0.307780i | ||||
\(553\) | −10.3836 | − | 22.1422i | −0.441555 | − | 0.941583i | ||||
\(554\) | 1.51376i | 0.0643136i | ||||||||
\(555\) | 1.31752 | + | 9.26528i | 0.0559257 | + | 0.393289i | ||||
\(556\) | 9.02665 | − | 5.21154i | 0.382815 | − | 0.221019i | ||||
\(557\) | −23.9317 | + | 13.8170i | −1.01402 | + | 0.585445i | −0.912366 | − | 0.409375i | \(-0.865747\pi\) |
−0.101654 | + | 0.994820i | \(0.532413\pi\) | |||||||
\(558\) | −17.7849 | − | 17.0632i | −0.752896 | − | 0.722344i | ||||
\(559\) | − | 6.95036i | − | 0.293969i | ||||||
\(560\) | −1.51638 | − | 0.129354i | −0.0640786 | − | 0.00546619i | ||||
\(561\) | 2.60167 | + | 3.31885i | 0.109843 | + | 0.140122i | ||||
\(562\) | 10.8295 | − | 18.7573i | 0.456816 | − | 0.791228i | ||||
\(563\) | 15.0582 | + | 26.0816i | 0.634629 | + | 1.09921i | 0.986594 | + | 0.163196i | \(0.0521804\pi\) |
−0.351965 | + | 0.936013i | \(0.614486\pi\) | |||||||
\(564\) | −5.12947 | − | 2.06274i | −0.215990 | − | 0.0868571i | ||||
\(565\) | 11.4938 | + | 6.63593i | 0.483546 | + | 0.279176i | ||||
\(566\) | −1.82166 | −0.0765702 | ||||||||
\(567\) | −20.0820 | − | 12.7951i | −0.843363 | − | 0.537344i | ||||
\(568\) | 28.3200 | 1.18828 | ||||||||
\(569\) | 32.0864 | + | 18.5251i | 1.34513 | + | 0.776613i | 0.987556 | − | 0.157270i | \(-0.0502694\pi\) |
0.357578 | + | 0.933883i | \(0.383603\pi\) | |||||||
\(570\) | −7.19067 | − | 2.89162i | −0.301184 | − | 0.121117i | ||||
\(571\) | 22.3494 | + | 38.7102i | 0.935292 | + | 1.61997i | 0.774113 | + | 0.633048i | \(0.218196\pi\) |
0.161179 | + | 0.986925i | \(0.448470\pi\) | |||||||
\(572\) | 0.958804 | − | 1.66070i | 0.0400896 | − | 0.0694372i | ||||
\(573\) | 9.22079 | + | 11.7626i | 0.385204 | + | 0.491389i | ||||
\(574\) | −17.7520 | + | 8.32482i | −0.740956 | + | 0.347471i | ||||
\(575\) | 8.08475i | 0.337158i | ||||||||
\(576\) | −9.66987 | − | 9.27748i | −0.402911 | − | 0.386562i | ||||
\(577\) | 2.93489 | − | 1.69446i | 0.122181 | − | 0.0705412i | −0.437664 | − | 0.899139i | \(-0.644194\pi\) |
0.559845 | + | 0.828597i | \(0.310861\pi\) | |||||||
\(578\) | 10.5494 | − | 6.09067i | 0.438795 | − | 0.253339i | ||||
\(579\) | 2.53239 | + | 17.8087i | 0.105243 | + | 0.740103i | ||||
\(580\) | − | 13.7051i | − | 0.569072i | ||||||
\(581\) | −18.8283 | + | 27.0141i | −0.781131 | + | 1.12073i | ||||
\(582\) | −1.52298 | + | 1.19388i | −0.0631296 | + | 0.0494878i | ||||
\(583\) | −1.52454 | + | 2.64059i | −0.0631402 | + | 0.109362i | ||||
\(584\) | −21.9034 | − | 37.9377i | −0.906367 | − | 1.56987i | ||||
\(585\) | 2.41292 | + | 8.31270i | 0.0997621 | + | 0.343688i | ||||
\(586\) | −2.05527 | − | 1.18661i | −0.0849026 | − | 0.0490185i | ||||
\(587\) | −11.5337 | −0.476049 | −0.238024 | − | 0.971259i | \(-0.576500\pi\) | ||||
−0.238024 | + | 0.971259i | \(0.576500\pi\) | |||||||
\(588\) | −13.6612 | + | 7.36860i | −0.563378 | + | 0.303876i | ||||
\(589\) | 17.7012 | 0.729365 | ||||||||
\(590\) | −31.4287 | − | 18.1454i | −1.29390 | − | 0.747034i | ||||
\(591\) | 8.87431 | − | 22.0680i | 0.365040 | − | 0.907755i | ||||
\(592\) | −0.186669 | − | 0.323321i | −0.00767207 | − | 0.0132884i | ||||
\(593\) | −17.7402 | + | 30.7269i | −0.728503 | + | 1.26180i | 0.229013 | + | 0.973423i | \(0.426450\pi\) |
−0.957516 | + | 0.288380i | \(0.906883\pi\) | |||||||
\(594\) | 2.71522 | + | 6.01926i | 0.111407 | + | 0.246973i | ||||
\(595\) | −7.09495 | + | 10.1795i | −0.290865 | + | 0.417320i | ||||
\(596\) | 16.9509i | 0.694335i | ||||||||
\(597\) | −30.8529 | + | 4.38729i | −1.26273 | + | 0.179560i | ||||
\(598\) | 1.78663 | − | 1.03151i | 0.0730606 | − | 0.0421816i | ||||
\(599\) | −1.86232 | + | 1.07521i | −0.0760923 | + | 0.0439319i | −0.537563 | − | 0.843223i | \(-0.680655\pi\) |
0.461471 | + | 0.887155i | \(0.347322\pi\) | |||||||
\(600\) | −15.8666 | + | 2.25623i | −0.647751 | + | 0.0921102i | ||||
\(601\) | 27.0283i | 1.10251i | 0.834338 | + | 0.551254i | \(0.185850\pi\) | ||||
−0.834338 | + | 0.551254i | \(0.814150\pi\) | |||||||
\(602\) | 14.1252 | − | 6.62400i | 0.575700 | − | 0.269974i | ||||
\(603\) | 10.3138 | − | 41.9472i | 0.420010 | − | 1.70822i | ||||
\(604\) | −1.01637 | + | 1.76041i | −0.0413556 | + | 0.0716299i | ||||
\(605\) | 12.6322 | + | 21.8797i | 0.513573 | + | 0.889534i | ||||
\(606\) | 6.17614 | − | 15.3584i | 0.250888 | − | 0.623890i | ||||
\(607\) | 1.76214 | + | 1.01737i | 0.0715230 | + | 0.0412938i | 0.535335 | − | 0.844640i | \(-0.320185\pi\) |
−0.463812 | + | 0.885934i | \(0.653519\pi\) | |||||||
\(608\) | 10.4834 | 0.425160 | ||||||||
\(609\) | −9.31447 | − | 14.2246i | −0.377441 | − | 0.576408i | ||||
\(610\) | 20.6301 | 0.835290 | ||||||||
\(611\) | 2.15929 | + | 1.24667i | 0.0873554 | + | 0.0504347i | ||||
\(612\) | 5.99524 | − | 1.74023i | 0.242343 | − | 0.0703448i | ||||
\(613\) | 3.25339 | + | 5.63503i | 0.131403 | + | 0.227597i | 0.924218 | − | 0.381866i | \(-0.124718\pi\) |
−0.792815 | + | 0.609463i | \(0.791385\pi\) | |||||||
\(614\) | −6.51323 | + | 11.2813i | −0.262853 | + | 0.455274i | ||||
\(615\) | 34.3549 | − | 26.9311i | 1.38532 | − | 1.08597i | ||||
\(616\) | 10.9890 | + | 0.937410i | 0.442758 | + | 0.0377693i | ||||
\(617\) | 49.1555i | 1.97893i | 0.144781 | + | 0.989464i | \(0.453752\pi\) | ||||
−0.144781 | + | 0.989464i | \(0.546248\pi\) | |||||||
\(618\) | 1.44348 | + | 10.1510i | 0.0580651 | + | 0.408334i | ||||
\(619\) | −9.98666 | + | 5.76580i | −0.401398 | + | 0.231747i | −0.687087 | − | 0.726575i | \(-0.741111\pi\) |
0.285689 | + | 0.958322i | \(0.407778\pi\) | |||||||
\(620\) | 30.9766 | − | 17.8843i | 1.24405 | − | 0.718252i | ||||
\(621\) | 1.25941 | − | 12.5723i | 0.0505382 | − | 0.504509i | ||||
\(622\) | 27.9519i | 1.12077i | ||||||||
\(623\) | −4.01863 | − | 8.56943i | −0.161003 | − | 0.343327i | ||||
\(624\) | −0.213035 | − | 0.271760i | −0.00852821 | − | 0.0108791i | ||||
\(625\) | 15.2849 | − | 26.4741i | 0.611394 | − | 1.05897i | ||||
\(626\) | −2.10518 | − | 3.64628i | −0.0841400 | − | 0.145735i | ||||
\(627\) | −4.40005 | − | 1.76942i | −0.175721 | − | 0.0706637i | ||||
\(628\) | −14.7803 | − | 8.53341i | −0.589798 | − | 0.340520i | ||||
\(629\) | −3.04388 | −0.121368 | ||||||||
\(630\) | −14.5943 | + | 12.8261i | −0.581449 | + | 0.511006i | ||||
\(631\) | −19.2682 | −0.767055 | −0.383527 | − | 0.923530i | \(-0.625291\pi\) | ||||
−0.383527 | + | 0.923530i | \(0.625291\pi\) | |||||||
\(632\) | 22.2778 | + | 12.8621i | 0.886162 | + | 0.511626i | ||||
\(633\) | −14.5469 | − | 5.84981i | −0.578186 | − | 0.232509i | ||||
\(634\) | −12.7558 | − | 22.0937i | −0.506598 | − | 0.877454i | ||||
\(635\) | 20.1255 | − | 34.8583i | 0.798655 | − | 1.38331i | ||||
\(636\) | 2.78470 | + | 3.55233i | 0.110421 | + | 0.140859i | ||||
\(637\) | 6.56741 | − | 2.42264i | 0.260210 | − | 0.0959884i | ||||
\(638\) | 4.71512i | 0.186674i | ||||||||
\(639\) | −21.1355 | + | 22.0294i | −0.836108 | + | 0.871471i | ||||
\(640\) | 19.1910 | − | 11.0799i | 0.758590 | − | 0.437972i | ||||
\(641\) | −39.1882 | + | 22.6253i | −1.54784 | + | 0.893647i | −0.549536 | + | 0.835470i | \(0.685195\pi\) |
−0.998306 | + | 0.0581766i | \(0.981471\pi\) | |||||||
\(642\) | −0.312497 | − | 2.19759i | −0.0123333 | − | 0.0867320i | ||||
\(643\) | 15.0422i | 0.593208i | 0.955001 | + | 0.296604i | \(0.0958541\pi\) | ||||
−0.955001 | + | 0.296604i | \(0.904146\pi\) | |||||||
\(644\) | −6.75700 | − | 4.70950i | −0.266263 | − | 0.185580i | ||||
\(645\) | −27.3360 | + | 21.4289i | −1.07635 | + | 0.843762i | ||||
\(646\) | 1.26041 | − | 2.18309i | 0.0495901 | − | 0.0858925i | ||||
\(647\) | 9.47075 | + | 16.4038i | 0.372334 | + | 0.644901i | 0.989924 | − | 0.141599i | \(-0.0452243\pi\) |
−0.617590 | + | 0.786500i | \(0.711891\pi\) | |||||||
\(648\) | 25.0250 | − | 1.03695i | 0.983075 | − | 0.0407353i | ||||
\(649\) | −19.2316 | − | 11.1034i | −0.754907 | − | 0.435846i | ||||
\(650\) | 2.82077 | 0.110640 | ||||||||
\(651\) | 19.9959 | − | 39.6151i | 0.783701 | − | 1.55264i | ||||
\(652\) | −19.6310 | −0.768810 | ||||||||
\(653\) | −7.90001 | − | 4.56107i | −0.309151 | − | 0.178489i | 0.337395 | − | 0.941363i | \(-0.390454\pi\) |
−0.646547 | + | 0.762874i | \(0.723787\pi\) | |||||||
\(654\) | 6.91481 | − | 17.1952i | 0.270391 | − | 0.672387i | ||||
\(655\) | −31.1581 | − | 53.9674i | −1.21745 | − | 2.10868i | ||||
\(656\) | −0.870716 | + | 1.50812i | −0.0339958 | + | 0.0588824i | ||||
\(657\) | 45.8576 | + | 11.2753i | 1.78908 | + | 0.439890i | ||||
\(658\) | −0.475696 | + | 5.57644i | −0.0185446 | + | 0.217392i | ||||
\(659\) | 20.5588i | 0.800859i | 0.916328 | + | 0.400429i | \(0.131139\pi\) | ||||
−0.916328 | + | 0.400429i | \(0.868861\pi\) | |||||||
\(660\) | −9.48768 | + | 1.34915i | −0.369308 | + | 0.0525155i | ||||
\(661\) | 29.1451 | − | 16.8269i | 1.13361 | − | 0.654491i | 0.188771 | − | 0.982021i | \(-0.439550\pi\) |
0.944841 | + | 0.327530i | \(0.106216\pi\) | |||||||
\(662\) | −17.9615 | + | 10.3701i | −0.698094 | + | 0.403045i | ||||
\(663\) | −2.78730 | + | 0.396353i | −0.108250 | + | 0.0153931i | ||||
\(664\) | − | 34.6357i | − | 1.34413i | ||||||
\(665\) | 1.18605 | − | 13.9037i | 0.0459930 | − | 0.539162i | ||||
\(666\) | −4.62845 | − | 1.13802i | −0.179349 | − | 0.0440975i | ||||
\(667\) | 4.51111 | − | 7.81347i | 0.174671 | − | 0.302539i | ||||
\(668\) | −5.11284 | − | 8.85570i | −0.197822 | − | 0.342637i | ||||
\(669\) | 13.0068 | − | 32.3443i | 0.502871 | − | 1.25050i | ||||
\(670\) | −30.5245 | − | 17.6233i | −1.17926 | − | 0.680847i | ||||
\(671\) | 12.6238 | 0.487337 | ||||||||
\(672\) | 11.8425 | − | 23.4618i | 0.456833 | − | 0.905059i | ||||
\(673\) | 20.2455 | 0.780405 | 0.390202 | − | 0.920729i | \(-0.372405\pi\) | ||||
0.390202 | + | 0.920729i | \(0.372405\pi\) | |||||||
\(674\) | −1.10644 | − | 0.638801i | −0.0426183 | − | 0.0246057i | ||||
\(675\) | 10.0864 | − | 14.0261i | 0.388224 | − | 0.539865i | ||||
\(676\) | 0.640106 | + | 1.10870i | 0.0246194 | + | 0.0426421i | ||||
\(677\) | 1.49996 | − | 2.59801i | 0.0576482 | − | 0.0998497i | −0.835761 | − | 0.549093i | \(-0.814973\pi\) |
0.893409 | + | 0.449244i | \(0.148306\pi\) | |||||||
\(678\) | −5.31970 | + | 4.17016i | −0.204302 | + | 0.160154i | ||||
\(679\) | −2.85840 | − | 1.99225i | −0.109695 | − | 0.0764557i | ||||
\(680\) | − | 13.0515i | − | 0.500503i | ||||||
\(681\) | −4.18390 | − | 29.4227i | −0.160327 | − | 1.12748i | ||||
\(682\) | −10.6573 | + | 6.15297i | −0.408087 | + | 0.235609i | ||||
\(683\) | −2.36000 | + | 1.36255i | −0.0903029 | + | 0.0521364i | −0.544471 | − | 0.838779i | \(-0.683270\pi\) |
0.454169 | + | 0.890916i | \(0.349936\pi\) | |||||||
\(684\) | −4.86043 | + | 5.06600i | −0.185843 | + | 0.193704i | ||||
\(685\) | − | 10.3695i | − | 0.396196i | ||||||
\(686\) | 11.1825 | + | 11.0380i | 0.426952 | + | 0.421434i | ||||
\(687\) | −2.03853 | − | 2.60047i | −0.0777747 | − | 0.0992140i | ||||
\(688\) | 0.692823 | − | 1.20001i | 0.0264136 | − | 0.0457498i | ||||
\(689\) | −1.01780 | − | 1.76288i | −0.0387750 | − | 0.0671604i | ||||
\(690\) | −9.56537 | − | 3.84657i | −0.364147 | − | 0.146437i | ||||
\(691\) | 32.9210 | + | 19.0070i | 1.25238 | + | 0.723059i | 0.971581 | − | 0.236709i | \(-0.0760687\pi\) |
0.280794 | + | 0.959768i | \(0.409402\pi\) | |||||||
\(692\) | 9.71721 | 0.369393 | ||||||||
\(693\) | −8.93039 | + | 7.84847i | −0.339237 | + | 0.298139i | ||||
\(694\) | 27.4732 | 1.04287 | ||||||||
\(695\) | 20.3438 | + | 11.7455i | 0.771684 | + | 0.445532i | ||||
\(696\) | 16.5931 | + | 6.67268i | 0.628961 | + | 0.252927i | ||||
\(697\) | 7.09906 | + | 12.2959i | 0.268896 | + | 0.465742i | ||||
\(698\) | 1.79373 | − | 3.10684i | 0.0678938 | − | 0.117595i | ||||
\(699\) | 6.02372 | + | 7.68421i | 0.227838 | + | 0.290644i | ||||
\(700\) | −4.78143 | − | 10.1961i | −0.180721 | − | 0.385374i | ||||
\(701\) | − | 51.5487i | − | 1.94697i | −0.228757 | − | 0.973484i | \(-0.573466\pi\) | ||
0.228757 | − | 0.973484i | \(-0.426534\pi\) | |||||||
\(702\) | −4.38648 | − | 0.439407i | −0.165557 | − | 0.0165844i | ||||
\(703\) | 2.96454 | − | 1.71158i | 0.111810 | − | 0.0645534i | ||||
\(704\) | −5.79447 | + | 3.34544i | −0.218387 | + | 0.126086i | ||||
\(705\) | −1.75420 | − | 12.3362i | −0.0660671 | − | 0.464607i | ||||
\(706\) | 17.4418i | 0.656432i | ||||||||
\(707\) | 29.6965 | + | 2.53325i | 1.11685 | + | 0.0952726i | ||||
\(708\) | −25.8719 | + | 20.2812i | −0.972326 | + | 0.762214i | ||||
\(709\) | −20.1154 | + | 34.8409i | −0.755450 | + | 1.30848i | 0.189700 | + | 0.981842i | \(0.439249\pi\) |
−0.945150 | + | 0.326636i | \(0.894085\pi\) | |||||||
\(710\) | 12.4551 | + | 21.5729i | 0.467432 | + | 0.809616i | ||||
\(711\) | −26.6313 | + | 7.73024i | −0.998751 | + | 0.289907i | ||||
\(712\) | 8.62189 | + | 4.97785i | 0.323119 | + | 0.186553i | ||||
\(713\) | 23.5470 | 0.881841 | ||||||||
\(714\) | −3.46193 | − | 5.28687i | −0.129559 | − | 0.197856i | ||||
\(715\) | 4.32180 | 0.161626 | ||||||||
\(716\) | 18.9882 | + | 10.9628i | 0.709621 | + | 0.409700i | ||||
\(717\) | −2.48219 | + | 6.17251i | −0.0926989 | + | 0.230517i | ||||
\(718\) | 4.17965 | + | 7.23937i | 0.155983 | + | 0.270171i | ||||
\(719\) | 4.89105 | − | 8.47154i | 0.182405 | − | 0.315935i | −0.760294 | − | 0.649579i | \(-0.774945\pi\) |
0.942699 | + | 0.333644i | \(0.108278\pi\) | |||||||
\(720\) | −0.412024 | + | 1.67574i | −0.0153552 | + | 0.0624512i | ||||
\(721\) | −16.7139 | + | 7.83799i | −0.622459 | + | 0.291902i | ||||
\(722\) | − | 13.2848i | − | 0.494407i | ||||||
\(723\) | −24.2802 | + | 3.45264i | −0.902990 | + | 0.128405i | ||||
\(724\) | 16.7533 | − | 9.67253i | 0.622632 | − | 0.359477i | ||||
\(725\) | 10.6834 | − | 6.16806i | 0.396771 | − | 0.229076i | ||||
\(726\) | −12.7391 | + | 1.81150i | −0.472793 | + | 0.0672311i | ||||
\(727\) | 15.3676i | 0.569953i | 0.958535 | + | 0.284976i | \(0.0919857\pi\) | ||||
−0.958535 | + | 0.284976i | \(0.908014\pi\) | |||||||
\(728\) | −4.21014 | + | 6.04054i | −0.156038 | + | 0.223877i | ||||
\(729\) | −17.8698 | + | 20.2403i | −0.661846 | + | 0.749640i | ||||
\(730\) | 19.2662 | − | 33.3700i | 0.713074 | − | 1.23508i | ||||
\(731\) | −5.64868 | − | 9.78380i | −0.208924 | − | 0.361867i | ||||
\(732\) | 6.97233 | − | 17.3383i | 0.257705 | − | 0.640841i | ||||
\(733\) | 24.1277 | + | 13.9301i | 0.891176 | + | 0.514521i | 0.874327 | − | 0.485337i | \(-0.161303\pi\) |
0.0168493 | + | 0.999858i | \(0.494636\pi\) | |||||||
\(734\) | −15.1256 | −0.558295 | ||||||||
\(735\) | −29.7765 | − | 18.3605i | −1.09832 | − | 0.677236i | ||||
\(736\) | 13.9456 | 0.514041 | ||||||||
\(737\) | −18.6783 | − | 10.7839i | −0.688023 | − | 0.397230i | ||||
\(738\) | 6.19756 | + | 21.3511i | 0.228135 | + | 0.785943i | ||||
\(739\) | 18.7019 | + | 32.3926i | 0.687959 | + | 1.19158i | 0.972497 | + | 0.232915i | \(0.0748264\pi\) |
−0.284538 | + | 0.958665i | \(0.591840\pi\) | |||||||
\(740\) | 3.45857 | − | 5.99042i | 0.127140 | − | 0.220212i | ||||
\(741\) | 2.49177 | − | 1.95332i | 0.0915376 | − | 0.0717571i | ||||
\(742\) | 2.61269 | − | 3.74857i | 0.0959147 | − | 0.137614i | ||||
\(743\) | 6.06181i | 0.222386i | 0.993799 | + | 0.111193i | \(0.0354672\pi\) | ||||
−0.993799 | + | 0.111193i | \(0.964533\pi\) | |||||||
\(744\) | 6.57130 | + | 46.2117i | 0.240916 | + | 1.69420i | ||||
\(745\) | −33.0848 | + | 19.1015i | −1.21213 | + | 0.699825i | ||||
\(746\) | −16.4582 | + | 9.50216i | −0.602579 | + | 0.347899i | ||||
\(747\) | 26.9423 | + | 25.8490i | 0.985767 | + | 0.945766i | ||||
\(748\) | − | 3.11695i | − | 0.113967i | ||||||
\(749\) | 3.61839 | − | 1.69684i | 0.132213 | − | 0.0620012i | ||||
\(750\) | 4.38188 | + | 5.58979i | 0.160004 | + | 0.204110i | ||||
\(751\) | −6.83221 | + | 11.8337i | −0.249311 | + | 0.431819i | −0.963335 | − | 0.268302i | \(-0.913537\pi\) |
0.714024 | + | 0.700121i | \(0.246871\pi\) | |||||||
\(752\) | 0.248539 | + | 0.430483i | 0.00906329 | + | 0.0156981i | ||||
\(753\) | −0.299298 | − | 0.120358i | −0.0109070 | − | 0.00438611i | ||||
\(754\) | −2.72612 | − | 1.57393i | −0.0992796 | − | 0.0573191i | ||||
\(755\) | −4.58129 | −0.166730 | ||||||||
\(756\) | 5.84714 | + | 16.6003i | 0.212658 | + | 0.603748i | ||||
\(757\) | −10.9383 | −0.397560 | −0.198780 | − | 0.980044i | \(-0.563698\pi\) | ||||
−0.198780 | + | 0.980044i | \(0.563698\pi\) | |||||||
\(758\) | 1.40955 | + | 0.813802i | 0.0511970 | + | 0.0295586i | ||||
\(759\) | −5.85316 | − | 2.35376i | −0.212456 | − | 0.0854361i | ||||
\(760\) | 7.33888 | + | 12.7113i | 0.266209 | + | 0.461088i | ||||
\(761\) | −16.9321 | + | 29.3272i | −0.613786 | + | 1.06311i | 0.376810 | + | 0.926291i | \(0.377021\pi\) |
−0.990596 | + | 0.136819i | \(0.956312\pi\) | |||||||
\(762\) | 12.6473 | + | 16.1336i | 0.458162 | + | 0.584459i | ||||
\(763\) | 33.2483 | + | 2.83623i | 1.20367 | + | 0.102678i | ||||
\(764\) | − | 11.0470i | − | 0.399666i | ||||||
\(765\) | 10.1525 | + | 9.74050i | 0.367063 | + | 0.352169i | ||||
\(766\) | 11.6778 | − | 6.74220i | 0.421937 | − | 0.243606i | ||||
\(767\) | 12.8392 | − | 7.41271i | 0.463596 | − | 0.267657i | ||||
\(768\) | 3.76735 | + | 26.4933i | 0.135942 | + | 0.955995i | ||||
\(769\) | 26.8561i | 0.968456i | 0.874942 | + | 0.484228i | \(0.160900\pi\) | ||||
−0.874942 | + | 0.484228i | \(0.839100\pi\) | |||||||
\(770\) | 4.11887 | + | 8.78318i | 0.148434 | + | 0.316524i | ||||
\(771\) | 22.1972 | − | 17.4006i | 0.799413 | − | 0.626667i | ||||
\(772\) | 6.64767 | − | 11.5141i | 0.239255 | − | 0.414402i | ||||
\(773\) | −16.5898 | − | 28.7344i | −0.596694 | − | 1.03350i | −0.993305 | − | 0.115518i | \(-0.963147\pi\) |
0.396611 | − | 0.917987i | \(-0.370186\pi\) | |||||||
\(774\) | −4.93136 | − | 16.9889i | −0.177254 | − | 0.610653i | ||||
\(775\) | 27.8824 | + | 16.0979i | 1.00157 | + | 0.578255i | ||||
\(776\) | 3.66485 | 0.131561 | ||||||||
\(777\) | −0.481640 | − | 8.56806i | −0.0172788 | − | 0.307378i | ||||
\(778\) | 9.54815 | 0.342318 | ||||||||
\(779\) | −13.8280 | − | 7.98363i | −0.495441 | − | 0.286043i | ||||
\(780\) | 2.38700 | − | 5.93581i | 0.0854682 | − | 0.212536i | ||||
\(781\) | 7.62143 | + | 13.2007i | 0.272716 | + | 0.472358i | ||||
\(782\) | 1.67665 | − | 2.90405i | 0.0599570 | − | 0.103849i | ||||
\(783\) | −17.5742 | + | 7.92751i | −0.628050 | + | 0.283306i | ||||
\(784\) | 1.37538 | + | 0.236372i | 0.0491207 | + | 0.00844187i | ||||
\(785\) | − | 38.4643i | − | 1.37285i | ||||||
\(786\) | 31.4217 | − | 4.46817i | 1.12078 | − | 0.159374i | ||||
\(787\) | 1.14981 | − | 0.663846i | 0.0409865 | − | 0.0236636i | −0.479367 | − | 0.877615i | \(-0.659134\pi\) |
0.520353 | + | 0.853951i | \(0.325800\pi\) | |||||||
\(788\) | −15.2252 | + | 8.79028i | −0.542376 | + | 0.313141i | ||||
\(789\) | −22.0152 | + | 3.13056i | −0.783761 | + | 0.111451i | ||||
\(790\) | 22.6270i | 0.805031i | ||||||||
\(791\) | −9.98426 | − | 6.95885i | −0.355000 | − | 0.247428i | ||||
\(792\) | 2.98588 | − | 12.1439i | 0.106099 | − | 0.431514i | ||||
\(793\) | −4.21389 | + | 7.29866i | −0.149639 | + | 0.259183i | ||||
\(794\) | −1.04510 | − | 1.81016i | −0.0370892 | − | 0.0642403i | ||||
\(795\) | −3.79544 | + | 9.43822i | −0.134610 | + | 0.334739i | ||||
\(796\) | 19.9478 | + | 11.5169i | 0.707032 | + | 0.408205i | ||||
\(797\) | −13.4281 | −0.475648 | −0.237824 | − | 0.971308i | \(-0.576434\pi\) | ||||
−0.237824 | + | 0.971308i | \(0.576434\pi\) | |||||||
\(798\) | 6.34450 | + | 3.20242i | 0.224593 | + | 0.113364i | ||||
\(799\) | 4.05275 | 0.143376 | ||||||||
\(800\) | 16.5132 | + | 9.53392i | 0.583831 | + | 0.337075i | ||||
\(801\) | −10.3068 | + | 2.99174i | −0.364172 | + | 0.105708i | ||||
\(802\) | −1.26746 | − | 2.19531i | −0.0447556 | − | 0.0775189i | ||||
\(803\) | 11.7892 | − | 20.4195i | 0.416032 | − | 0.720588i | ||||
\(804\) | −25.1275 | + | 19.6977i | −0.886179 | + | 0.694683i | ||||
\(805\) | 1.57774 | − | 18.4953i | 0.0556080 | − | 0.651875i | ||||
\(806\) | − | 8.21555i | − | 0.289380i | ||||||
\(807\) | −4.47083 | − | 31.4405i | −0.157381 | − | 1.10676i | ||||
\(808\) | −27.1497 | + | 15.6749i | −0.955125 | + | 0.551442i | ||||
\(809\) | 30.5878 | − | 17.6599i | 1.07541 | − | 0.620889i | 0.145756 | − | 0.989321i | \(-0.453439\pi\) |
0.929655 | + | 0.368432i | \(0.120105\pi\) | |||||||
\(810\) | 11.7959 | + | 18.6069i | 0.414466 | + | 0.653780i | ||||
\(811\) | − | 19.2063i | − | 0.674426i | −0.941428 | − | 0.337213i | \(-0.890516\pi\) | ||
0.941428 | − | 0.337213i | \(-0.109484\pi\) | |||||||
\(812\) | −1.06817 | + | 12.5219i | −0.0374855 | + | 0.439431i | ||||
\(813\) | 2.62110 | + | 3.34363i | 0.0919260 | + | 0.117266i | ||||
\(814\) | −1.18990 | + | 2.06096i | −0.0417058 | + | 0.0722366i | ||||
\(815\) | −22.1217 | − | 38.3159i | −0.774889 | − | 1.34215i | ||||
\(816\) | −0.520746 | − | 0.209410i | −0.0182298 | − | 0.00733083i | ||||
\(817\) | 11.0029 | + | 6.35252i | 0.384942 | + | 0.222247i | ||||
\(818\) | 7.86011 | 0.274822 | ||||||||
\(819\) | −1.55671 | − | 7.78310i | −0.0543960 | − | 0.271964i | ||||
\(820\) | −32.2649 | −1.12674 | ||||||||
\(821\) | 17.7528 | + | 10.2496i | 0.619578 | + | 0.357714i | 0.776705 | − | 0.629865i | \(-0.216890\pi\) |
−0.157126 | + | 0.987578i | \(0.550223\pi\) | |||||||
\(822\) | 4.89985 | + | 1.97040i | 0.170902 | + | 0.0687257i | ||||
\(823\) | −8.05191 | − | 13.9463i | −0.280672 | − | 0.486138i | 0.690879 | − | 0.722971i | \(-0.257224\pi\) |
−0.971550 | + | 0.236833i | \(0.923891\pi\) | |||||||
\(824\) | 9.70886 | − | 16.8162i | 0.338224 | − | 0.585822i | ||||
\(825\) | −5.32169 | − | 6.78866i | −0.185277 | − | 0.236351i | ||||
\(826\) | 27.3011 | + | 19.0284i | 0.949928 | + | 0.662082i | ||||
\(827\) | − | 19.0344i | − | 0.661890i | −0.943650 | − | 0.330945i | \(-0.892633\pi\) | ||
0.943650 | − | 0.330945i | \(-0.107367\pi\) | |||||||
\(828\) | −6.46558 | + | 6.73904i | −0.224694 | + | 0.234198i | ||||
\(829\) | −18.6186 | + | 10.7494i | −0.646649 | + | 0.373343i | −0.787171 | − | 0.616734i | \(-0.788455\pi\) |
0.140522 | + | 0.990078i | \(0.455122\pi\) | |||||||
\(830\) | 26.3839 | − | 15.2328i | 0.915800 | − | 0.528737i | ||||
\(831\) | 0.435079 | + | 3.05963i | 0.0150927 | + | 0.106137i | ||||
\(832\) | − | 4.46689i | − | 0.154862i | ||||||
\(833\) | 7.27581 | − | 8.74772i | 0.252092 | − | 0.303090i | ||||
\(834\) | −9.41580 | + | 7.38112i | −0.326042 | + | 0.255587i | ||||
\(835\) | 11.5231 | − | 19.9585i | 0.398772 | − | 0.690693i | ||||
\(836\) | 1.75266 | + | 3.03570i | 0.0606171 | + | 0.104992i | ||||
\(837\) | −40.8513 | − | 29.3767i | −1.41203 | − | 1.01541i | ||||
\(838\) | 12.7159 | + | 7.34155i | 0.439265 | + | 0.253610i | ||||
\(839\) | −3.47585 | −0.120000 | −0.0599999 | − | 0.998198i | \(-0.519110\pi\) | ||||
−0.0599999 | + | 0.998198i | \(0.519110\pi\) | |||||||
\(840\) | 36.7380 | − | 2.06517i | 1.26758 | − | 0.0712552i | ||||
\(841\) | 15.2334 | 0.525291 | ||||||||
\(842\) | −8.12973 | − | 4.69370i | −0.280169 | − | 0.161756i | ||||
\(843\) | 16.4976 | − | 41.0250i | 0.568207 | − | 1.41297i | ||||
\(844\) | 5.79442 | + | 10.0362i | 0.199452 | + | 0.345461i | ||||
\(845\) | −1.44264 | + | 2.49872i | −0.0496282 | + | 0.0859586i | ||||
\(846\) | 6.16251 | + | 1.51521i | 0.211871 | + | 0.0520940i | ||||
\(847\) | −9.83634 | − | 20.9753i | −0.337981 | − | 0.720718i | ||||
\(848\) | − | 0.405823i | − | 0.0139360i | ||||||
\(849\) | −3.68196 | + | 0.523575i | −0.126365 | + | 0.0179690i | ||||
\(850\) | 3.97071 | − | 2.29249i | 0.136194 | − | 0.0786319i | ||||
\(851\) | 3.94357 | − | 2.27682i | 0.135184 | − | 0.0780484i | ||||
\(852\) | 22.3400 | − | 3.17675i | 0.765356 | − | 0.108834i | ||||
\(853\) | 9.52321i | 0.326068i | 0.986620 | + | 0.163034i | \(0.0521281\pi\) | ||||
−0.986620 | + | 0.163034i | \(0.947872\pi\) | |||||||
\(854\) | −18.8491 | − | 1.60791i | −0.645002 | − | 0.0550216i | ||||
\(855\) | −15.3649 | − | 3.77786i | −0.525470 | − | 0.129200i | ||||
\(856\) | −2.10187 | + | 3.64054i | −0.0718403 | + | 0.124431i | ||||
\(857\) | 5.59152 | + | 9.68480i | 0.191003 | + | 0.330827i | 0.945583 | − | 0.325381i | \(-0.105493\pi\) |
−0.754580 | + | 0.656208i | \(0.772159\pi\) | |||||||
\(858\) | −0.821229 | + | 2.04217i | −0.0280363 | + | 0.0697185i | ||||
\(859\) | 6.47584 | + | 3.73883i | 0.220953 | + | 0.127567i | 0.606391 | − | 0.795166i | \(-0.292616\pi\) |
−0.385438 | + | 0.922734i | \(0.625950\pi\) | |||||||
\(860\) | 25.6730 | 0.875441 | ||||||||
\(861\) | −33.4879 | + | 21.9284i | −1.14126 | + | 0.747318i | ||||
\(862\) | 18.3460 | 0.624866 | ||||||||
\(863\) | −17.0099 | − | 9.82068i | −0.579025 | − | 0.334300i | 0.181721 | − | 0.983350i | \(-0.441833\pi\) |
−0.760746 | + | 0.649050i | \(0.775167\pi\) | |||||||
\(864\) | −24.1940 | − | 17.3982i | −0.823095 | − | 0.591898i | ||||
\(865\) | 10.9501 | + | 18.9661i | 0.372314 | + | 0.644866i | ||||
\(866\) | 6.13172 | − | 10.6204i | 0.208364 | − | 0.360897i | ||||
\(867\) | 19.5719 | − | 15.3426i | 0.664696 | − | 0.521061i | ||||
\(868\) | −29.6962 | + | 13.9260i | −1.00795 | + | 0.472679i | ||||
\(869\) | 13.8457i | 0.469683i | ||||||||
\(870\) | 2.21470 | + | 15.5746i | 0.0750854 | + | 0.528027i | ||||
\(871\) | 12.4698 | − | 7.19942i | 0.422522 | − | 0.243943i | ||||
\(872\) | −30.3969 | + | 17.5497i | −1.02937 | + | 0.594306i | ||||
\(873\) | −2.73512 | + | 2.85080i | −0.0925699 | + | 0.0964851i | ||||
\(874\) | 3.77114i | 0.127561i | ||||||||
\(875\) | −7.31216 | + | 10.4912i | −0.247196 | + | 0.354667i | ||||
\(876\) | −21.5339 | − | 27.4700i | −0.727564 | − | 0.928124i | ||||
\(877\) | 8.77258 | − | 15.1946i | 0.296229 | − | 0.513084i | −0.679041 | − | 0.734100i | \(-0.737604\pi\) |
0.975270 | + | 0.221017i | \(0.0709375\pi\) | |||||||
\(878\) | −6.17422 | − | 10.6941i | −0.208370 | − | 0.360907i | ||||
\(879\) | −4.49519 | − | 1.80767i | −0.151619 | − | 0.0609713i | ||||
\(880\) | 0.746175 | + | 0.430804i | 0.0251536 | + | 0.0145224i | ||||
\(881\) | 14.2848 | 0.481266 | 0.240633 | − | 0.970616i | \(-0.422645\pi\) | ||||
0.240633 | + | 0.970616i | \(0.422645\pi\) | |||||||
\(882\) | 14.3339 | − | 10.5813i | 0.482649 | − | 0.356292i | ||||
\(883\) | −24.7462 | −0.832776 | −0.416388 | − | 0.909187i | \(-0.636704\pi\) | ||||
−0.416388 | + | 0.909187i | \(0.636704\pi\) | |||||||
\(884\) | 1.80211 | + | 1.04045i | 0.0606116 | + | 0.0349941i | ||||
\(885\) | −68.7393 | − | 27.6425i | −2.31065 | − | 0.929193i | ||||
\(886\) | −6.23843 | − | 10.8053i | −0.209584 | − | 0.363010i | ||||
\(887\) | 13.7291 | − | 23.7795i | 0.460979 | − | 0.798439i | −0.538031 | − | 0.842925i | \(-0.680832\pi\) |
0.999010 | + | 0.0444860i | \(0.0141650\pi\) | |||||||
\(888\) | 5.56888 | + | 7.10399i | 0.186879 | + | 0.238394i | ||||
\(889\) | −21.1048 | + | 30.2803i | −0.707833 | + | 1.01557i | ||||
\(890\) | 8.75703i | 0.293536i | ||||||||
\(891\) | 7.21805 | + | 11.3858i | 0.241814 | + | 0.381438i | ||||
\(892\) | −22.3151 | + | 12.8836i | −0.747164 | + | 0.431376i | ||||
\(893\) | −3.94711 | + | 2.27886i | −0.132085 | + | 0.0762593i | ||||
\(894\) | −2.73922 | − | 19.2631i | −0.0916131 | − | 0.644256i | ||||
\(895\) | 49.4149i | 1.65176i | ||||||||
\(896\) | −18.3977 | + | 8.62761i | −0.614625 | + | 0.288228i | ||||
\(897\) | 3.31467 | − | 2.59840i | 0.110674 | − | 0.0867581i | ||||
\(898\) | −6.03915 | + | 10.4601i | −0.201529 | + | 0.349059i | ||||
\(899\) | −17.9646 | − | 31.1155i | −0.599152 | − | 1.03776i | ||||
\(900\) | −12.2632 | + | 3.55962i | −0.408772 | + | 0.118654i | ||||
\(901\) | −2.86545 | − | 1.65437i | −0.0954618 | − | 0.0551149i | ||||
\(902\) | 11.1005 | 0.369606 | ||||||||
\(903\) | 26.6461 | − | 17.4483i | 0.886727 | − | 0.580643i | ||||
\(904\) | 12.8012 | 0.425760 | ||||||||
\(905\) | 37.7577 | + | 21.7994i | 1.25511 | + | 0.724638i | ||||
\(906\) | 0.870536 | − | 2.16478i | 0.0289216 | − | 0.0719201i | ||||
\(907\) | −18.5137 | − | 32.0668i | −0.614739 | − | 1.06476i | −0.990430 | − | 0.138014i | \(-0.955928\pi\) |
0.375691 | − | 0.926745i | \(-0.377405\pi\) | |||||||
\(908\) | −10.9830 | + | 19.0231i | −0.364483 | + | 0.631303i | ||||
\(909\) | 8.06903 | − | 32.8175i | 0.267633 | − | 1.08849i | ||||
\(910\) | −6.45304 | − | 0.550474i | −0.213916 | − | 0.0182480i | ||||
\(911\) | − | 50.4270i | − | 1.67072i | −0.549701 | − | 0.835361i | \(-0.685258\pi\) | ||
0.549701 | − | 0.835361i | \(-0.314742\pi\) | |||||||
\(912\) | 0.624924 | − | 0.0888642i | 0.0206933 | − | 0.00294259i | ||||
\(913\) | 16.1446 | − | 9.32111i | 0.534309 | − | 0.308484i | ||||
\(914\) | 6.02566 | − | 3.47892i | 0.199311 | − | 0.115072i | ||||
\(915\) | 41.6978 | − | 5.92943i | 1.37849 | − | 0.196021i | ||||
\(916\) | 2.44227i | 0.0806947i | ||||||||
\(917\) | 24.2619 | + | 51.7367i | 0.801198 | + | 1.70850i | ||||
\(918\) | −6.53182 | + | 2.94643i | −0.215582 | + | 0.0972467i | ||||
\(919\) | 3.94768 | − | 6.83758i | 0.130222 | − | 0.225551i | −0.793540 | − | 0.608518i | \(-0.791764\pi\) |
0.923762 | + | 0.382967i | \(0.125098\pi\) | |||||||
\(920\) | 9.76253 | + | 16.9092i | 0.321861 | + | 0.557480i | ||||
\(921\) | −9.92219 | + | 24.6738i | −0.326947 | + | 0.813028i | ||||
\(922\) | 24.7870 | + | 14.3108i | 0.816318 | + | 0.471301i | ||||
\(923\) | −10.1763 | −0.334956 | ||||||||
\(924\) | 8.77373 | − | 0.493202i | 0.288635 | − | 0.0162251i | ||||
\(925\) | 6.22621 | 0.204717 | ||||||||
\(926\) | −18.5790 | − | 10.7266i | −0.610544 | − | 0.352498i | ||||
\(927\) | 5.83513 | + | 20.1025i | 0.191651 | + | 0.660252i | ||||
\(928\) | −10.6394 | − | 18.4280i | −0.349256 | − | 0.604929i | ||||
\(929\) | −29.3792 | + | 50.8862i | −0.963899 | + | 1.66952i | −0.251354 | + | 0.967895i | \(0.580876\pi\) |
−0.712545 | + | 0.701626i | \(0.752458\pi\) | |||||||
\(930\) | −32.3120 | + | 25.3296i | −1.05955 | + | 0.830591i | ||||
\(931\) | −2.16731 | + | 12.6109i | −0.0710306 | + | 0.413305i | ||||
\(932\) | − | 7.21674i | − | 0.236392i | ||||||
\(933\) | 8.03381 | + | 56.4966i | 0.263015 | + | 1.84961i | ||||
\(934\) | 29.6267 | − | 17.1050i | 0.969416 | − | 0.559692i | ||||
\(935\) | 6.08367 | − | 3.51241i | 0.198957 | − | 0.114868i | ||||
\(936\) | 6.02448 | + | 5.78002i | 0.196916 | + | 0.188926i | ||||
\(937\) | 15.8154i | 0.516666i | 0.966056 | + | 0.258333i | \(0.0831732\pi\) | ||||
−0.966056 | + | 0.258333i | \(0.916827\pi\) | |||||||
\(938\) | 26.5156 | + | 18.4809i | 0.865765 | + | 0.603422i | ||||
\(939\) | −5.30301 | − | 6.76483i | −0.173057 | − | 0.220762i | ||||
\(940\) | −4.60488 | + | 7.97589i | −0.150195 | + | 0.260145i | ||||
\(941\) | 11.2513 | + | 19.4878i | 0.366782 | + | 0.635285i | 0.989060 | − | 0.147511i | \(-0.0471262\pi\) |
−0.622279 | + | 0.782796i | \(0.713793\pi\) | |||||||
\(942\) | 18.1754 | + | 7.30899i | 0.592188 | + | 0.238140i | ||||
\(943\) | −18.3947 | − | 10.6202i | −0.599014 | − | 0.345841i | ||||
\(944\) | 2.95564 | 0.0961980 | ||||||||
\(945\) | −25.8116 | + | 30.1189i | −0.839651 | + | 0.979769i | ||||
\(946\) | −8.83259 | −0.287172 | ||||||||
\(947\) | 44.9801 | + | 25.9693i | 1.46166 | + | 0.843888i | 0.999088 | − | 0.0426957i | \(-0.0135946\pi\) |
0.462568 | + | 0.886584i | \(0.346928\pi\) | |||||||
\(948\) | 19.0165 | + | 7.64719i | 0.617626 | + | 0.248369i | ||||
\(949\) | 7.87057 | + | 13.6322i | 0.255490 | + | 0.442521i | ||||
\(950\) | −2.57814 | + | 4.46548i | −0.0836460 | + | 0.144879i | ||||
\(951\) | −32.1323 | − | 40.9898i | −1.04196 | − | 1.32919i | ||||
\(952\) | −1.01723 | + | 11.9247i | −0.0329688 | + | 0.386483i | ||||
\(953\) | − | 54.7090i | − | 1.77220i | −0.463495 | − | 0.886100i | \(-0.653405\pi\) | ||
0.463495 | − | 0.886100i | \(-0.346595\pi\) | |||||||
\(954\) | −3.73861 | − | 3.58690i | −0.121042 | − | 0.116130i | ||||
\(955\) | 21.5616 | − | 12.4486i | 0.697716 | − | 0.402826i | ||||
\(956\) | 4.25856 | − | 2.45868i | 0.137732 | − | 0.0795195i | ||||
\(957\) | 1.35520 | + | 9.53025i | 0.0438074 | + | 0.308069i | ||||
\(958\) | − | 12.0647i | − | 0.389793i | ||||||
\(959\) | −0.808194 | + | 9.47422i | −0.0260980 | + | 0.305938i | ||||
\(960\) | −17.5684 | + | 13.7720i | −0.567018 | + | 0.444490i | ||||
\(961\) | 31.3855 | − | 54.3612i | 1.01243 | − | 1.75359i | ||||
\(962\) | −0.794384 | − | 1.37591i | −0.0256120 | − | 0.0443612i | ||||
\(963\) | −1.26324 | − | 4.35197i | −0.0407075 | − | 0.140240i | ||||
\(964\) | 15.6982 | + | 9.06338i | 0.505606 | + | 0.291912i | ||||
\(965\) | 29.9644 | 0.964587 | ||||||||
\(966\) | 8.43975 | + | 4.26001i | 0.271545 | + | 0.137064i | ||||
\(967\) | 24.3185 | 0.782030 | 0.391015 | − | 0.920384i | \(-0.372124\pi\) | ||||
0.391015 | + | 0.920384i | \(0.372124\pi\) | |||||||
\(968\) | 21.1037 | + | 12.1842i | 0.678297 | + | 0.391615i | ||||
\(969\) | 1.92009 | − | 4.77474i | 0.0616822 | − | 0.153387i | ||||
\(970\) | 1.61180 | + | 2.79172i | 0.0517518 | + | 0.0896368i | ||||
\(971\) | −9.83663 | + | 17.0375i | −0.315672 | + | 0.546761i | −0.979580 | − | 0.201054i | \(-0.935563\pi\) |
0.663908 | + | 0.747814i | \(0.268897\pi\) | |||||||
\(972\) | 19.6245 | − | 3.62514i | 0.629456 | − | 0.116276i | ||||
\(973\) | −17.6720 | − | 12.3171i | −0.566538 | − | 0.394867i | ||||
\(974\) | 16.3719i | 0.524591i | ||||||||
\(975\) | 5.70137 | − | 0.810735i | 0.182590 | − | 0.0259643i | ||||
\(976\) | −1.45509 | + | 0.840094i | −0.0465761 | + | 0.0268908i | ||||
\(977\) | −3.61130 | + | 2.08498i | −0.115536 | + | 0.0667046i | −0.556654 | − | 0.830744i | \(-0.687915\pi\) |
0.441119 | + | 0.897449i | \(0.354582\pi\) | |||||||
\(978\) | 22.3089 | − | 3.17232i | 0.713359 | − | 0.101440i | ||||
\(979\) | 5.35853i | 0.171259i | ||||||||
\(980\) | 8.94864 | + | 24.2584i | 0.285854 | + | 0.774907i | ||||
\(981\) | 9.03409 | − | 36.7426i | 0.288436 | − | 1.17310i | ||||
\(982\) | −12.5735 | + | 21.7779i | −0.401236 | + | 0.694962i | ||||
\(983\) | 11.9756 | + | 20.7424i | 0.381963 | + | 0.661579i | 0.991343 | − | 0.131299i | \(-0.0419149\pi\) |
−0.609380 | + | 0.792878i | \(0.708582\pi\) | |||||||
\(984\) | 15.7090 | − | 39.0640i | 0.500786 | − | 1.24532i | ||||
\(985\) | −34.3138 | − | 19.8111i | −1.09333 | − | 0.631233i | ||||
\(986\) | −5.11664 | −0.162947 | ||||||||
\(987\) | 0.641275 | + | 11.4079i | 0.0204120 | + | 0.363116i | ||||
\(988\) | −2.34019 | −0.0744512 | ||||||||
\(989\) | 14.6366 | + | 8.45042i | 0.465415 | + | 0.268708i | ||||
\(990\) | 10.5639 | − | 3.06637i | 0.335742 | − | 0.0974555i | ||||
\(991\) | −11.1365 | − | 19.2889i | −0.353762 | − | 0.612733i | 0.633143 | − | 0.774034i | \(-0.281764\pi\) |
−0.986905 | + | 0.161301i | \(0.948431\pi\) | |||||||
\(992\) | 27.7677 | − | 48.0950i | 0.881625 | − | 1.52702i | ||||
\(993\) | −33.3234 | + | 26.1225i | −1.05749 | + | 0.828973i | ||||
\(994\) | −9.69843 | − | 20.6812i | −0.307616 | − | 0.655967i | ||||
\(995\) | 51.9123i | 1.64573i | ||||||||
\(996\) | −3.88521 | − | 27.3221i | −0.123107 | − | 0.865735i | ||||
\(997\) | 11.2451 | − | 6.49237i | 0.356136 | − | 0.205615i | −0.311248 | − | 0.950329i | \(-0.600747\pi\) |
0.667385 | + | 0.744713i | \(0.267414\pi\) | |||||||
\(998\) | −18.4232 | + | 10.6366i | −0.583175 | + | 0.336696i | ||||
\(999\) | −9.68215 | − | 0.969891i | −0.306330 | − | 0.0306860i |
(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 | 273.2.bh.a.131.20 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.13 | ✓ | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.13 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.20 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.13 | ✓ | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.131.20 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.248.13 | yes | 64 | 7.3 | odd | 6 | inner | |
273.2.bh.a.248.20 | yes | 64 | 21.17 | even | 6 | inner |