Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(43,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.w (of order \(4\), 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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.3 | ||
Character | \(\chi\) | \(=\) | 280.43 |
Dual form | 280.2.w.a.267.3 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33794 | − | 0.458170i | −0.946066 | − | 0.323975i | ||||
\(3\) | 2.03802 | + | 2.03802i | 1.17665 | + | 1.17665i | 0.980591 | + | 0.196062i | \(0.0628155\pi\) |
0.196062 | + | 0.980591i | \(0.437185\pi\) | |||||||
\(4\) | 1.58016 | + | 1.22601i | 0.790080 | + | 0.613003i | ||||
\(5\) | −1.56810 | + | 1.59407i | −0.701274 | + | 0.712892i | ||||
\(6\) | −1.79299 | − | 3.66051i | −0.731985 | − | 1.49440i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | −1.55244 | − | 2.36430i | −0.548870 | − | 0.835908i | ||||
\(9\) | 5.30708i | 1.76903i | ||||||||
\(10\) | 2.82837 | − | 1.41432i | 0.894411 | − | 0.447247i | ||||
\(11\) | 1.12517 | 0.339251 | 0.169626 | − | 0.985509i | \(-0.445744\pi\) | ||||
0.169626 | + | 0.985509i | \(0.445744\pi\) | |||||||
\(12\) | 0.721774 | + | 5.71904i | 0.208358 | + | 1.65094i | ||||
\(13\) | 1.14209 | − | 1.14209i | 0.316760 | − | 0.316760i | −0.530761 | − | 0.847521i | \(-0.678094\pi\) |
0.847521 | + | 0.530761i | \(0.178094\pi\) | |||||||
\(14\) | −0.622091 | − | 1.27004i | −0.166261 | − | 0.339433i | ||||
\(15\) | −6.44458 | + | 0.0529419i | −1.66398 | + | 0.0136695i | ||||
\(16\) | 0.993815 | + | 3.87457i | 0.248454 | + | 0.968644i | ||||
\(17\) | −3.40113 | + | 3.40113i | −0.824896 | + | 0.824896i | −0.986806 | − | 0.161910i | \(-0.948235\pi\) |
0.161910 | + | 0.986806i | \(0.448235\pi\) | |||||||
\(18\) | 2.43155 | − | 7.10055i | 0.573121 | − | 1.67362i | ||||
\(19\) | − | 6.04642i | − | 1.38714i | −0.720387 | − | 0.693572i | \(-0.756036\pi\) | ||
0.720387 | − | 0.693572i | \(-0.243964\pi\) | |||||||
\(20\) | −4.43219 | + | 0.596396i | −0.991068 | + | 0.133358i | ||||
\(21\) | 2.88220i | 0.628948i | ||||||||
\(22\) | −1.50541 | − | 0.515519i | −0.320954 | − | 0.109909i | ||||
\(23\) | −4.27148 | + | 4.27148i | −0.890665 | + | 0.890665i | −0.994586 | − | 0.103921i | \(-0.966861\pi\) |
0.103921 | + | 0.994586i | \(0.466861\pi\) | |||||||
\(24\) | 1.65460 | − | 7.98242i | 0.337744 | − | 1.62940i | ||||
\(25\) | −0.0821439 | − | 4.99933i | −0.0164288 | − | 0.999865i | ||||
\(26\) | −2.05133 | + | 1.00478i | −0.402298 | + | 0.197053i | ||||
\(27\) | −4.70189 | + | 4.70189i | −0.904880 | + | 0.904880i | ||||
\(28\) | 0.250425 | + | 1.98426i | 0.0473258 | + | 0.374990i | ||||
\(29\) | 5.08560 | 0.944372 | 0.472186 | − | 0.881499i | \(-0.343465\pi\) | ||||
0.472186 | + | 0.881499i | \(0.343465\pi\) | |||||||
\(30\) | 8.64671 | + | 2.88188i | 1.57867 | + | 0.526157i | ||||
\(31\) | 1.17687i | 0.211373i | 0.994400 | + | 0.105686i | \(0.0337040\pi\) | ||||
−0.994400 | + | 0.105686i | \(0.966296\pi\) | |||||||
\(32\) | 0.445550 | − | 5.63928i | 0.0787628 | − | 0.996893i | ||||
\(33\) | 2.29312 | + | 2.29312i | 0.399181 | + | 0.399181i | ||||
\(34\) | 6.10880 | − | 2.99221i | 1.04765 | − | 0.513160i | ||||
\(35\) | −2.23599 | + | 0.0183686i | −0.377952 | + | 0.00310485i | ||||
\(36\) | −6.50652 | + | 8.38605i | −1.08442 | + | 1.39767i | ||||
\(37\) | 2.57874 | + | 2.57874i | 0.423942 | + | 0.423942i | 0.886558 | − | 0.462617i | \(-0.153089\pi\) |
−0.462617 | + | 0.886558i | \(0.653089\pi\) | |||||||
\(38\) | −2.77029 | + | 8.08974i | −0.449400 | + | 1.31233i | ||||
\(39\) | 4.65523 | 0.745433 | ||||||||
\(40\) | 6.20325 | + | 1.23276i | 0.980820 | + | 0.194916i | ||||
\(41\) | 3.89085 | 0.607649 | 0.303824 | − | 0.952728i | \(-0.401736\pi\) | ||||
0.303824 | + | 0.952728i | \(0.401736\pi\) | |||||||
\(42\) | 1.32054 | − | 3.85621i | 0.203763 | − | 0.595026i | ||||
\(43\) | 8.80877 | + | 8.80877i | 1.34333 | + | 1.34333i | 0.892727 | + | 0.450599i | \(0.148789\pi\) |
0.450599 | + | 0.892727i | \(0.351211\pi\) | |||||||
\(44\) | 1.77795 | + | 1.37947i | 0.268036 | + | 0.207962i | ||||
\(45\) | −8.45989 | − | 8.32202i | −1.26113 | − | 1.24057i | ||||
\(46\) | 7.67204 | − | 3.75792i | 1.13118 | − | 0.554074i | ||||
\(47\) | −1.04379 | − | 1.04379i | −0.152253 | − | 0.152253i | 0.626870 | − | 0.779123i | \(-0.284336\pi\) |
−0.779123 | + | 0.626870i | \(0.784336\pi\) | |||||||
\(48\) | −5.87106 | + | 9.92190i | −0.847414 | + | 1.43210i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | −2.18064 | + | 6.72643i | −0.308389 | + | 0.951260i | ||||
\(51\) | −13.8632 | −1.94123 | ||||||||
\(52\) | 3.20491 | − | 0.404477i | 0.444441 | − | 0.0560909i | ||||
\(53\) | 7.09313 | − | 7.09313i | 0.974316 | − | 0.974316i | −0.0253624 | − | 0.999678i | \(-0.508074\pi\) |
0.999678 | + | 0.0253624i | \(0.00807395\pi\) | |||||||
\(54\) | 8.44511 | − | 4.13658i | 1.14923 | − | 0.562917i | ||||
\(55\) | −1.76438 | + | 1.79360i | −0.237908 | + | 0.241849i | ||||
\(56\) | 0.574075 | − | 2.76956i | 0.0767140 | − | 0.370097i | ||||
\(57\) | 12.3228 | − | 12.3228i | 1.63219 | − | 1.63219i | ||||
\(58\) | −6.80422 | − | 2.33007i | −0.893437 | − | 0.305953i | ||||
\(59\) | − | 13.0335i | − | 1.69682i | −0.529341 | − | 0.848409i | \(-0.677561\pi\) | ||
0.529341 | − | 0.848409i | \(-0.322439\pi\) | |||||||
\(60\) | −10.2484 | − | 7.81744i | −1.32306 | − | 1.00923i | ||||
\(61\) | − | 14.1452i | − | 1.81111i | −0.424232 | − | 0.905553i | \(-0.639456\pi\) | ||
0.424232 | − | 0.905553i | \(-0.360544\pi\) | |||||||
\(62\) | 0.539209 | − | 1.57459i | 0.0684795 | − | 0.199973i | ||||
\(63\) | −3.75268 | + | 3.75268i | −0.472793 | + | 0.472793i | ||||
\(64\) | −3.17987 | + | 7.34088i | −0.397483 | + | 0.917609i | ||||
\(65\) | 0.0296683 | + | 3.61150i | 0.00367989 | + | 0.447951i | ||||
\(66\) | −2.01742 | − | 4.11870i | −0.248327 | − | 0.506977i | ||||
\(67\) | −8.52477 | + | 8.52477i | −1.04147 | + | 1.04147i | −0.0423637 | + | 0.999102i | \(0.513489\pi\) |
−0.999102 | + | 0.0423637i | \(0.986511\pi\) | |||||||
\(68\) | −9.54415 | + | 1.20452i | −1.15740 | + | 0.146070i | ||||
\(69\) | −17.4108 | −2.09601 | ||||||||
\(70\) | 3.00004 | + | 0.999889i | 0.358573 | + | 0.119510i | ||||
\(71\) | 3.20531i | 0.380400i | 0.981745 | + | 0.190200i | \(0.0609136\pi\) | ||||
−0.981745 | + | 0.190200i | \(0.939086\pi\) | |||||||
\(72\) | 12.5476 | − | 8.23892i | 1.47874 | − | 0.970967i | ||||
\(73\) | 0.661851 | + | 0.661851i | 0.0774638 | + | 0.0774638i | 0.744777 | − | 0.667313i | \(-0.232556\pi\) |
−0.667313 | + | 0.744777i | \(0.732556\pi\) | |||||||
\(74\) | −2.26869 | − | 4.63169i | −0.263730 | − | 0.538424i | ||||
\(75\) | 10.0213 | − | 10.3562i | 1.15716 | − | 1.19583i | ||||
\(76\) | 7.41295 | − | 9.55432i | 0.850324 | − | 1.09596i | ||||
\(77\) | 0.795615 | + | 0.795615i | 0.0906688 | + | 0.0906688i | ||||
\(78\) | −6.22841 | − | 2.13289i | −0.705229 | − | 0.241502i | ||||
\(79\) | 7.84196 | 0.882290 | 0.441145 | − | 0.897436i | \(-0.354572\pi\) | ||||
0.441145 | + | 0.897436i | \(0.354572\pi\) | |||||||
\(80\) | −7.73476 | − | 4.49149i | −0.864772 | − | 0.502164i | ||||
\(81\) | −3.24389 | −0.360432 | ||||||||
\(82\) | −5.20572 | − | 1.78267i | −0.574875 | − | 0.196863i | ||||
\(83\) | −4.69230 | − | 4.69230i | −0.515047 | − | 0.515047i | 0.401022 | − | 0.916069i | \(-0.368655\pi\) |
−0.916069 | + | 0.401022i | \(0.868655\pi\) | |||||||
\(84\) | −3.53360 | + | 4.55434i | −0.385547 | + | 0.496919i | ||||
\(85\) | −0.0883515 | − | 10.7550i | −0.00958306 | − | 1.16654i | ||||
\(86\) | −7.74968 | − | 15.8215i | −0.835670 | − | 1.70608i | ||||
\(87\) | 10.3646 | + | 10.3646i | 1.11120 | + | 1.11120i | ||||
\(88\) | −1.74676 | − | 2.66024i | −0.186205 | − | 0.283583i | ||||
\(89\) | − | 4.54385i | − | 0.481647i | −0.970569 | − | 0.240824i | \(-0.922582\pi\) | ||
0.970569 | − | 0.240824i | \(-0.0774176\pi\) | |||||||
\(90\) | 7.50591 | + | 15.0104i | 0.791192 | + | 1.58224i | ||||
\(91\) | 1.61516 | 0.169315 | ||||||||
\(92\) | −11.9865 | + | 1.51276i | −1.24968 | + | 0.157716i | ||||
\(93\) | −2.39850 | + | 2.39850i | −0.248713 | + | 0.248713i | ||||
\(94\) | 0.918297 | + | 1.87477i | 0.0947151 | + | 0.193367i | ||||
\(95\) | 9.63844 | + | 9.48138i | 0.988884 | + | 0.972769i | ||||
\(96\) | 12.4010 | − | 10.5849i | 1.26567 | − | 1.08032i | ||||
\(97\) | 8.93455 | − | 8.93455i | 0.907166 | − | 0.907166i | −0.0888762 | − | 0.996043i | \(-0.528328\pi\) |
0.996043 | + | 0.0888762i | \(0.0283275\pi\) | |||||||
\(98\) | 0.458170 | − | 1.33794i | 0.0462822 | − | 0.135152i | ||||
\(99\) | 5.97137i | 0.600145i | ||||||||
\(100\) | 5.99941 | − | 8.00045i | 0.599941 | − | 0.800045i | ||||
\(101\) | 5.60617i | 0.557834i | 0.960315 | + | 0.278917i | \(0.0899755\pi\) | ||||
−0.960315 | + | 0.278917i | \(0.910025\pi\) | |||||||
\(102\) | 18.5481 | + | 6.35169i | 1.83653 | + | 0.628911i | ||||
\(103\) | −4.23937 | + | 4.23937i | −0.417718 | + | 0.417718i | −0.884416 | − | 0.466699i | \(-0.845443\pi\) |
0.466699 | + | 0.884416i | \(0.345443\pi\) | |||||||
\(104\) | −4.47329 | − | 0.927226i | −0.438642 | − | 0.0909220i | ||||
\(105\) | −4.59444 | − | 4.51957i | −0.448372 | − | 0.441065i | ||||
\(106\) | −12.7400 | + | 6.24031i | −1.23742 | + | 0.606113i | ||||
\(107\) | −0.0282900 | + | 0.0282900i | −0.00273490 | + | 0.00273490i | −0.708473 | − | 0.705738i | \(-0.750616\pi\) |
0.705738 | + | 0.708473i | \(0.250616\pi\) | |||||||
\(108\) | −13.1943 | + | 1.66519i | −1.26962 | + | 0.160233i | ||||
\(109\) | 12.2940 | 1.17756 | 0.588778 | − | 0.808295i | \(-0.299609\pi\) | ||||
0.588778 | + | 0.808295i | \(0.299609\pi\) | |||||||
\(110\) | 3.18240 | − | 1.59135i | 0.303430 | − | 0.151729i | ||||
\(111\) | 10.5111i | 0.997666i | ||||||||
\(112\) | −2.03700 | + | 3.44247i | −0.192479 | + | 0.325283i | ||||
\(113\) | 0.542652 | + | 0.542652i | 0.0510484 | + | 0.0510484i | 0.732170 | − | 0.681122i | \(-0.238508\pi\) |
−0.681122 | + | 0.732170i | \(0.738508\pi\) | |||||||
\(114\) | −22.1330 | + | 10.8412i | −2.07295 | + | 1.01537i | ||||
\(115\) | −0.110961 | − | 13.5071i | −0.0103471 | − | 1.25955i | ||||
\(116\) | 8.03606 | + | 6.23497i | 0.746129 | + | 0.578903i | ||||
\(117\) | 6.06119 | + | 6.06119i | 0.560357 | + | 0.560357i | ||||
\(118\) | −5.97156 | + | 17.4380i | −0.549727 | + | 1.60530i | ||||
\(119\) | −4.80993 | −0.440925 | ||||||||
\(120\) | 10.1300 | + | 15.1548i | 0.924737 | + | 1.38343i | ||||
\(121\) | −9.73399 | −0.884908 | ||||||||
\(122\) | −6.48090 | + | 18.9254i | −0.586753 | + | 1.71343i | ||||
\(123\) | 7.92964 | + | 7.92964i | 0.714992 | + | 0.714992i | ||||
\(124\) | −1.44286 | + | 1.85965i | −0.129572 | + | 0.167002i | ||||
\(125\) | 8.09810 | + | 7.70848i | 0.724316 | + | 0.689468i | ||||
\(126\) | 6.74021 | − | 3.30149i | 0.600466 | − | 0.294120i | ||||
\(127\) | −14.5948 | − | 14.5948i | −1.29508 | − | 1.29508i | −0.931603 | − | 0.363478i | \(-0.881589\pi\) |
−0.363478 | − | 0.931603i | \(-0.618411\pi\) | |||||||
\(128\) | 7.61784 | − | 8.36472i | 0.673328 | − | 0.739344i | ||||
\(129\) | 35.9050i | 3.16126i | ||||||||
\(130\) | 1.61498 | − | 4.84555i | 0.141644 | − | 0.424983i | ||||
\(131\) | −9.64508 | −0.842694 | −0.421347 | − | 0.906899i | \(-0.638443\pi\) | ||||
−0.421347 | + | 0.906899i | \(0.638443\pi\) | |||||||
\(132\) | 0.812119 | + | 6.43489i | 0.0706859 | + | 0.560085i | ||||
\(133\) | 4.27547 | − | 4.27547i | 0.370730 | − | 0.370730i | ||||
\(134\) | 15.3114 | − | 7.49982i | 1.32270 | − | 0.647886i | ||||
\(135\) | −0.122141 | − | 14.8682i | −0.0105123 | − | 1.27965i | ||||
\(136\) | 13.3214 | + | 2.76126i | 1.14230 | + | 0.236776i | ||||
\(137\) | −0.237816 | + | 0.237816i | −0.0203180 | + | 0.0203180i | −0.717193 | − | 0.696875i | \(-0.754573\pi\) |
0.696875 | + | 0.717193i | \(0.254573\pi\) | |||||||
\(138\) | 23.2945 | + | 7.97709i | 1.98296 | + | 0.679055i | ||||
\(139\) | 15.6138i | 1.32435i | 0.749350 | + | 0.662174i | \(0.230366\pi\) | ||||
−0.749350 | + | 0.662174i | \(0.769634\pi\) | |||||||
\(140\) | −3.55575 | − | 2.71232i | −0.300516 | − | 0.229233i | ||||
\(141\) | − | 4.25455i | − | 0.358298i | ||||||
\(142\) | 1.46857 | − | 4.28850i | 0.123240 | − | 0.359883i | ||||
\(143\) | 1.28505 | − | 1.28505i | 0.107461 | − | 0.107461i | ||||
\(144\) | −20.5627 | + | 5.27426i | −1.71356 | + | 0.439522i | ||||
\(145\) | −7.97471 | + | 8.10682i | −0.662263 | + | 0.673234i | ||||
\(146\) | −0.582276 | − | 1.18876i | −0.0481895 | − | 0.0983822i | ||||
\(147\) | −2.03802 | + | 2.03802i | −0.168093 | + | 0.168093i | ||||
\(148\) | 0.913270 | + | 7.23637i | 0.0750704 | + | 0.594826i | ||||
\(149\) | 13.1459 | 1.07696 | 0.538479 | − | 0.842639i | \(-0.318999\pi\) | ||||
0.538479 | + | 0.842639i | \(0.318999\pi\) | |||||||
\(150\) | −18.1528 | + | 9.26443i | −1.48217 | + | 0.756438i | ||||
\(151\) | − | 10.6597i | − | 0.867477i | −0.901039 | − | 0.433739i | \(-0.857194\pi\) | ||
0.901039 | − | 0.433739i | \(-0.142806\pi\) | |||||||
\(152\) | −14.2956 | + | 9.38670i | −1.15952 | + | 0.761362i | ||||
\(153\) | −18.0501 | − | 18.0501i | −1.45926 | − | 1.45926i | ||||
\(154\) | −0.699957 | − | 1.42901i | −0.0564042 | − | 0.115153i | ||||
\(155\) | −1.87603 | − | 1.84545i | −0.150686 | − | 0.148230i | ||||
\(156\) | 7.35601 | + | 5.70734i | 0.588952 | + | 0.456953i | ||||
\(157\) | −6.91900 | − | 6.91900i | −0.552196 | − | 0.552196i | 0.374878 | − | 0.927074i | \(-0.377685\pi\) |
−0.927074 | + | 0.374878i | \(0.877685\pi\) | |||||||
\(158\) | −10.4921 | − | 3.59295i | −0.834704 | − | 0.285840i | ||||
\(159\) | 28.9119 | 2.29287 | ||||||||
\(160\) | 8.29077 | + | 9.55318i | 0.655443 | + | 0.755245i | ||||
\(161\) | −6.04078 | −0.476081 | ||||||||
\(162\) | 4.34013 | + | 1.48625i | 0.340993 | + | 0.116771i | ||||
\(163\) | −5.43455 | − | 5.43455i | −0.425667 | − | 0.425667i | 0.461483 | − | 0.887149i | \(-0.347318\pi\) |
−0.887149 | + | 0.461483i | \(0.847318\pi\) | |||||||
\(164\) | 6.14817 | + | 4.77021i | 0.480091 | + | 0.372491i | ||||
\(165\) | −7.25125 | + | 0.0595686i | −0.564509 | + | 0.00463741i | ||||
\(166\) | 4.12814 | + | 8.42788i | 0.320406 | + | 0.654130i | ||||
\(167\) | −7.37047 | − | 7.37047i | −0.570344 | − | 0.570344i | 0.361881 | − | 0.932224i | \(-0.382135\pi\) |
−0.932224 | + | 0.361881i | \(0.882135\pi\) | |||||||
\(168\) | 6.81440 | − | 4.47444i | 0.525742 | − | 0.345211i | ||||
\(169\) | 10.3912i | 0.799326i | ||||||||
\(170\) | −4.80939 | + | 14.4300i | −0.368864 | + | 1.10673i | ||||
\(171\) | 32.0889 | 2.45390 | ||||||||
\(172\) | 3.11966 | + | 24.7189i | 0.237872 | + | 1.88480i | ||||
\(173\) | −2.51488 | + | 2.51488i | −0.191203 | + | 0.191203i | −0.796216 | − | 0.605013i | \(-0.793168\pi\) |
0.605013 | + | 0.796216i | \(0.293168\pi\) | |||||||
\(174\) | −9.11842 | − | 18.6159i | −0.691266 | − | 1.41127i | ||||
\(175\) | 3.47697 | − | 3.59314i | 0.262834 | − | 0.271616i | ||||
\(176\) | 1.11821 | + | 4.35955i | 0.0842883 | + | 0.328614i | ||||
\(177\) | 26.5626 | − | 26.5626i | 1.99657 | − | 1.99657i | ||||
\(178\) | −2.08186 | + | 6.07940i | −0.156042 | + | 0.455670i | ||||
\(179\) | − | 15.2275i | − | 1.13816i | −0.822282 | − | 0.569080i | \(-0.807299\pi\) | ||
0.822282 | − | 0.569080i | \(-0.192701\pi\) | |||||||
\(180\) | −3.16512 | − | 23.5220i | −0.235914 | − | 1.75323i | ||||
\(181\) | 16.1726i | 1.20210i | 0.799211 | + | 0.601050i | \(0.205251\pi\) | ||||
−0.799211 | + | 0.601050i | \(0.794749\pi\) | |||||||
\(182\) | −2.16099 | − | 0.740020i | −0.160183 | − | 0.0548539i | ||||
\(183\) | 28.8283 | − | 28.8283i | 2.13105 | − | 2.13105i | ||||
\(184\) | 16.7303 | + | 3.46787i | 1.23337 | + | 0.255654i | ||||
\(185\) | −8.15441 | + | 0.0669881i | −0.599524 | + | 0.00492506i | ||||
\(186\) | 4.30796 | − | 2.11012i | 0.315875 | − | 0.154722i | ||||
\(187\) | −3.82685 | + | 3.82685i | −0.279847 | + | 0.279847i | ||||
\(188\) | −0.369664 | − | 2.92906i | −0.0269605 | − | 0.213624i | ||||
\(189\) | −6.64948 | −0.483679 | ||||||||
\(190\) | −8.55157 | − | 17.1015i | −0.620396 | − | 1.24068i | ||||
\(191\) | 0.150312i | 0.0108762i | 0.999985 | + | 0.00543811i | \(0.00173101\pi\) | ||||
−0.999985 | + | 0.00543811i | \(0.998269\pi\) | |||||||
\(192\) | −21.4415 | + | 8.48024i | −1.54741 | + | 0.612008i | ||||
\(193\) | 1.53880 | + | 1.53880i | 0.110766 | + | 0.110766i | 0.760317 | − | 0.649552i | \(-0.225043\pi\) |
−0.649552 | + | 0.760317i | \(0.725043\pi\) | |||||||
\(194\) | −16.0474 | + | 7.86034i | −1.15214 | + | 0.564340i | ||||
\(195\) | −7.29985 | + | 7.42078i | −0.522753 | + | 0.531413i | ||||
\(196\) | −1.22601 | + | 1.58016i | −0.0875719 | + | 0.112869i | ||||
\(197\) | 12.2359 | + | 12.2359i | 0.871771 | + | 0.871771i | 0.992665 | − | 0.120894i | \(-0.0385763\pi\) |
−0.120894 | + | 0.992665i | \(0.538576\pi\) | |||||||
\(198\) | 2.73590 | − | 7.98933i | 0.194432 | − | 0.567777i | ||||
\(199\) | −5.52414 | −0.391596 | −0.195798 | − | 0.980644i | \(-0.562730\pi\) | ||||
−0.195798 | + | 0.980644i | \(0.562730\pi\) | |||||||
\(200\) | −11.6924 | + | 7.95536i | −0.826778 | + | 0.562529i | ||||
\(201\) | −34.7474 | −2.45089 | ||||||||
\(202\) | 2.56858 | − | 7.50071i | 0.180724 | − | 0.527748i | ||||
\(203\) | 3.59606 | + | 3.59606i | 0.252394 | + | 0.252394i | ||||
\(204\) | −21.9061 | − | 16.9964i | −1.53373 | − | 1.18998i | ||||
\(205\) | −6.10123 | + | 6.20230i | −0.426128 | + | 0.433188i | ||||
\(206\) | 7.61437 | − | 3.72967i | 0.530518 | − | 0.259858i | ||||
\(207\) | −22.6691 | − | 22.6691i | −1.57561 | − | 1.57561i | ||||
\(208\) | 5.56016 | + | 3.29010i | 0.385528 | + | 0.228127i | ||||
\(209\) | − | 6.80325i | − | 0.470591i | ||||||
\(210\) | 4.07635 | + | 8.15194i | 0.281295 | + | 0.562538i | ||||
\(211\) | −14.6760 | −1.01034 | −0.505170 | − | 0.863020i | \(-0.668570\pi\) | ||||
−0.505170 | + | 0.863020i | \(0.668570\pi\) | |||||||
\(212\) | 19.9045 | − | 2.51206i | 1.36705 | − | 0.172529i | ||||
\(213\) | −6.53249 | + | 6.53249i | −0.447599 | + | 0.447599i | ||||
\(214\) | 0.0508119 | − | 0.0248886i | 0.00347343 | − | 0.00170135i | ||||
\(215\) | −27.8548 | + | 0.228826i | −1.89968 | + | 0.0156058i | ||||
\(216\) | 18.4161 | + | 3.81730i | 1.25306 | + | 0.259735i | ||||
\(217\) | −0.832176 | + | 0.832176i | −0.0564918 | + | 0.0564918i | ||||
\(218\) | −16.4487 | − | 5.63276i | −1.11405 | − | 0.381499i | ||||
\(219\) | 2.69774i | 0.182296i | ||||||||
\(220\) | −4.98697 | + | 0.671046i | −0.336221 | + | 0.0452419i | ||||
\(221\) | 7.76883i | 0.522588i | ||||||||
\(222\) | 4.81585 | − | 14.0632i | 0.323219 | − | 0.943857i | ||||
\(223\) | −6.10264 | + | 6.10264i | −0.408663 | + | 0.408663i | −0.881272 | − | 0.472609i | \(-0.843312\pi\) |
0.472609 | + | 0.881272i | \(0.343312\pi\) | |||||||
\(224\) | 4.30262 | − | 3.67252i | 0.287481 | − | 0.245381i | ||||
\(225\) | 26.5318 | − | 0.435945i | 1.76879 | − | 0.0290630i | ||||
\(226\) | −0.477409 | − | 0.974662i | −0.0317567 | − | 0.0648336i | ||||
\(227\) | 10.3883 | − | 10.3883i | 0.689496 | − | 0.689496i | −0.272625 | − | 0.962120i | \(-0.587892\pi\) |
0.962120 | + | 0.272625i | \(0.0878918\pi\) | |||||||
\(228\) | 34.5797 | − | 4.36415i | 2.29010 | − | 0.289023i | ||||
\(229\) | −11.8631 | −0.783937 | −0.391969 | − | 0.919979i | \(-0.628206\pi\) | ||||
−0.391969 | + | 0.919979i | \(0.628206\pi\) | |||||||
\(230\) | −6.04011 | + | 18.1226i | −0.398273 | + | 1.19497i | ||||
\(231\) | 3.24297i | 0.213371i | ||||||||
\(232\) | −7.89508 | − | 12.0239i | −0.518337 | − | 0.789407i | ||||
\(233\) | 3.55821 | + | 3.55821i | 0.233106 | + | 0.233106i | 0.813988 | − | 0.580882i | \(-0.197292\pi\) |
−0.580882 | + | 0.813988i | \(0.697292\pi\) | |||||||
\(234\) | −5.33245 | − | 10.8866i | −0.348593 | − | 0.711676i | ||||
\(235\) | 3.30065 | − | 0.0271147i | 0.215311 | − | 0.00176877i | ||||
\(236\) | 15.9792 | − | 20.5950i | 1.04016 | − | 1.34062i | ||||
\(237\) | 15.9821 | + | 15.9821i | 1.03815 | + | 1.03815i | ||||
\(238\) | 6.43539 | + | 2.20376i | 0.417144 | + | 0.142849i | ||||
\(239\) | −19.4118 | −1.25565 | −0.627824 | − | 0.778355i | \(-0.716054\pi\) | ||||
−0.627824 | + | 0.778355i | \(0.716054\pi\) | |||||||
\(240\) | −6.60985 | − | 24.9174i | −0.426664 | − | 1.60841i | ||||
\(241\) | 3.80736 | 0.245253 | 0.122627 | − | 0.992453i | \(-0.460868\pi\) | ||||
0.122627 | + | 0.992453i | \(0.460868\pi\) | |||||||
\(242\) | 13.0235 | + | 4.45982i | 0.837181 | + | 0.286688i | ||||
\(243\) | 7.49455 | + | 7.49455i | 0.480776 | + | 0.480776i | ||||
\(244\) | 17.3421 | − | 22.3517i | 1.11021 | − | 1.43092i | ||||
\(245\) | −1.59407 | − | 1.56810i | −0.101842 | − | 0.100182i | ||||
\(246\) | −6.97625 | − | 14.2425i | −0.444790 | − | 0.908069i | ||||
\(247\) | −6.90558 | − | 6.90558i | −0.439392 | − | 0.439392i | ||||
\(248\) | 2.78249 | − | 1.82703i | 0.176688 | − | 0.116016i | ||||
\(249\) | − | 19.1260i | − | 1.21206i | ||||||
\(250\) | −7.30297 | − | 14.0238i | −0.461881 | − | 0.886942i | ||||
\(251\) | −7.38557 | −0.466173 | −0.233086 | − | 0.972456i | \(-0.574883\pi\) | ||||
−0.233086 | + | 0.972456i | \(0.574883\pi\) | |||||||
\(252\) | −10.5306 | + | 1.32902i | −0.663368 | + | 0.0837207i | ||||
\(253\) | −4.80614 | + | 4.80614i | −0.302159 | + | 0.302159i | ||||
\(254\) | 12.8401 | + | 26.2139i | 0.805658 | + | 1.64481i | ||||
\(255\) | 21.7388 | − | 22.0989i | 1.36134 | − | 1.38389i | ||||
\(256\) | −14.0247 | + | 7.70122i | −0.876541 | + | 0.481327i | ||||
\(257\) | −11.3747 | + | 11.3747i | −0.709532 | + | 0.709532i | −0.966437 | − | 0.256904i | \(-0.917297\pi\) |
0.256904 | + | 0.966437i | \(0.417297\pi\) | |||||||
\(258\) | 16.4506 | − | 48.0387i | 1.02417 | − | 2.99076i | ||||
\(259\) | 3.64689i | 0.226606i | ||||||||
\(260\) | −4.38084 | + | 5.74312i | −0.271688 | + | 0.356173i | ||||
\(261\) | 26.9897i | 1.67062i | ||||||||
\(262\) | 12.9045 | + | 4.41908i | 0.797244 | + | 0.273012i | ||||
\(263\) | −1.88534 | + | 1.88534i | −0.116255 | + | 0.116255i | −0.762841 | − | 0.646586i | \(-0.776196\pi\) |
0.646586 | + | 0.762841i | \(0.276196\pi\) | |||||||
\(264\) | 1.86171 | − | 8.98157i | 0.114580 | − | 0.552778i | ||||
\(265\) | 0.184259 | + | 22.4297i | 0.0113189 | + | 1.37784i | ||||
\(266\) | −7.67920 | + | 3.76142i | −0.470842 | + | 0.230628i | ||||
\(267\) | 9.26048 | − | 9.26048i | 0.566732 | − | 0.566732i | ||||
\(268\) | −23.9219 | + | 3.01908i | −1.46126 | + | 0.184420i | ||||
\(269\) | 4.32967 | 0.263985 | 0.131992 | − | 0.991251i | \(-0.457863\pi\) | ||||
0.131992 | + | 0.991251i | \(0.457863\pi\) | |||||||
\(270\) | −6.64874 | + | 19.9487i | −0.404629 | + | 1.21404i | ||||
\(271\) | 20.9148i | 1.27049i | 0.772313 | + | 0.635243i | \(0.219100\pi\) | ||||
−0.772313 | + | 0.635243i | \(0.780900\pi\) | |||||||
\(272\) | −16.5580 | − | 9.79785i | −1.00398 | − | 0.594082i | ||||
\(273\) | 3.29175 | + | 3.29175i | 0.199225 | + | 0.199225i | ||||
\(274\) | 0.427143 | − | 0.209223i | 0.0258046 | − | 0.0126396i | ||||
\(275\) | −0.0924259 | − | 5.62509i | −0.00557349 | − | 0.339206i | ||||
\(276\) | −27.5118 | − | 21.3457i | −1.65602 | − | 1.28486i | ||||
\(277\) | −22.2493 | − | 22.2493i | −1.33683 | − | 1.33683i | −0.899114 | − | 0.437714i | \(-0.855788\pi\) |
−0.437714 | − | 0.899114i | \(-0.644212\pi\) | |||||||
\(278\) | 7.15379 | − | 20.8903i | 0.429056 | − | 1.25292i | ||||
\(279\) | −6.24577 | −0.373925 | ||||||||
\(280\) | 3.51467 | + | 5.25805i | 0.210042 | + | 0.314229i | ||||
\(281\) | 5.70890 | 0.340564 | 0.170282 | − | 0.985395i | \(-0.445532\pi\) | ||||
0.170282 | + | 0.985395i | \(0.445532\pi\) | |||||||
\(282\) | −1.94931 | + | 5.69233i | −0.116080 | + | 0.338974i | ||||
\(283\) | 3.91652 | + | 3.91652i | 0.232813 | + | 0.232813i | 0.813866 | − | 0.581053i | \(-0.197359\pi\) |
−0.581053 | + | 0.813866i | \(0.697359\pi\) | |||||||
\(284\) | −3.92973 | + | 5.06490i | −0.233186 | + | 0.300546i | ||||
\(285\) | 0.320109 | + | 38.9667i | 0.0189616 | + | 2.30819i | ||||
\(286\) | −2.30809 | + | 1.13055i | −0.136480 | + | 0.0668506i | ||||
\(287\) | 2.75125 | + | 2.75125i | 0.162401 | + | 0.162401i | ||||
\(288\) | 29.9281 | + | 2.36457i | 1.76353 | + | 0.139334i | ||||
\(289\) | − | 6.13541i | − | 0.360907i | ||||||
\(290\) | 14.3840 | − | 7.19265i | 0.844656 | − | 0.422367i | ||||
\(291\) | 36.4177 | 2.13484 | ||||||||
\(292\) | 0.234397 | + | 1.85726i | 0.0137171 | + | 0.108688i | ||||
\(293\) | 20.6522 | − | 20.6522i | 1.20651 | − | 1.20651i | 0.234364 | − | 0.972149i | \(-0.424699\pi\) |
0.972149 | − | 0.234364i | \(-0.0753007\pi\) | |||||||
\(294\) | 3.66051 | − | 1.79299i | 0.213485 | − | 0.104569i | ||||
\(295\) | 20.7764 | + | 20.4378i | 1.20965 | + | 1.18994i | ||||
\(296\) | 2.09359 | − | 10.1003i | 0.121687 | − | 0.587065i | ||||
\(297\) | −5.29043 | + | 5.29043i | −0.306982 | + | 0.306982i | ||||
\(298\) | −17.5885 | − | 6.02307i | −1.01887 | − | 0.348907i | ||||
\(299\) | 9.75686i | 0.564254i | ||||||||
\(300\) | 28.5320 | − | 4.07817i | 1.64730 | − | 0.235453i | ||||
\(301\) | 12.4575i | 0.718038i | ||||||||
\(302\) | −4.88397 | + | 14.2621i | −0.281041 | + | 0.820690i | ||||
\(303\) | −11.4255 | + | 11.4255i | −0.656378 | + | 0.656378i | ||||
\(304\) | 23.4273 | − | 6.00903i | 1.34365 | − | 0.344641i | ||||
\(305\) | 22.5485 | + | 22.1810i | 1.29112 | + | 1.27008i | ||||
\(306\) | 15.8799 | + | 32.4199i | 0.907794 | + | 1.85332i | ||||
\(307\) | 0.372304 | − | 0.372304i | 0.0212485 | − | 0.0212485i | −0.696403 | − | 0.717651i | \(-0.745217\pi\) |
0.717651 | + | 0.696403i | \(0.245217\pi\) | |||||||
\(308\) | 0.281770 | + | 2.23263i | 0.0160554 | + | 0.127216i | ||||
\(309\) | −17.2799 | −0.983018 | ||||||||
\(310\) | 1.66448 | + | 3.32864i | 0.0945359 | + | 0.189054i | ||||
\(311\) | 13.0674i | 0.740984i | 0.928836 | + | 0.370492i | \(0.120811\pi\) | ||||
−0.928836 | + | 0.370492i | \(0.879189\pi\) | |||||||
\(312\) | −7.22696 | − | 11.0064i | −0.409146 | − | 0.623114i | ||||
\(313\) | −11.0791 | − | 11.0791i | −0.626230 | − | 0.626230i | 0.320887 | − | 0.947117i | \(-0.396019\pi\) |
−0.947117 | + | 0.320887i | \(0.896019\pi\) | |||||||
\(314\) | 6.08712 | + | 12.4273i | 0.343516 | + | 0.701312i | ||||
\(315\) | −0.0974835 | − | 11.8666i | −0.00549257 | − | 0.668607i | ||||
\(316\) | 12.3916 | + | 9.61430i | 0.697080 | + | 0.540847i | ||||
\(317\) | −15.8196 | − | 15.8196i | −0.888515 | − | 0.888515i | 0.105865 | − | 0.994380i | \(-0.466239\pi\) |
−0.994380 | + | 0.105865i | \(0.966239\pi\) | |||||||
\(318\) | −38.6824 | − | 13.2466i | −2.16920 | − | 0.742831i | ||||
\(319\) | 5.72216 | 0.320379 | ||||||||
\(320\) | −6.71556 | − | 16.5801i | −0.375411 | − | 0.926858i | ||||
\(321\) | −0.115311 | −0.00643605 | ||||||||
\(322\) | 8.08220 | + | 2.76771i | 0.450403 | + | 0.154238i | ||||
\(323\) | 20.5647 | + | 20.5647i | 1.14425 | + | 1.14425i | ||||
\(324\) | −5.12587 | − | 3.97703i | −0.284771 | − | 0.220946i | ||||
\(325\) | −5.80352 | − | 5.61588i | −0.321921 | − | 0.311513i | ||||
\(326\) | 4.78115 | + | 9.76104i | 0.264803 | + | 0.540614i | ||||
\(327\) | 25.0556 | + | 25.0556i | 1.38558 | + | 1.38558i | ||||
\(328\) | −6.04031 | − | 9.19915i | −0.333520 | − | 0.507938i | ||||
\(329\) | − | 1.47615i | − | 0.0813826i | ||||||
\(330\) | 9.72902 | + | 3.24260i | 0.535565 | + | 0.178499i | ||||
\(331\) | −6.31429 | −0.347065 | −0.173533 | − | 0.984828i | \(-0.555518\pi\) | ||||
−0.173533 | + | 0.984828i | \(0.555518\pi\) | |||||||
\(332\) | −1.66180 | − | 13.1674i | −0.0912029 | − | 0.722654i | ||||
\(333\) | −13.6856 | + | 13.6856i | −0.749965 | + | 0.749965i | ||||
\(334\) | 6.48431 | + | 13.2382i | 0.354805 | + | 0.724360i | ||||
\(335\) | −0.221448 | − | 26.9568i | −0.0120990 | − | 1.47281i | ||||
\(336\) | −11.1673 | + | 2.86438i | −0.609226 | + | 0.156265i | ||||
\(337\) | −4.49695 | + | 4.49695i | −0.244965 | + | 0.244965i | −0.818900 | − | 0.573936i | \(-0.805416\pi\) |
0.573936 | + | 0.818900i | \(0.305416\pi\) | |||||||
\(338\) | 4.76095 | − | 13.9028i | 0.258962 | − | 0.756215i | ||||
\(339\) | 2.21188i | 0.120133i | ||||||||
\(340\) | 13.0460 | − | 17.1029i | 0.707521 | − | 0.927534i | ||||
\(341\) | 1.32418i | 0.0717086i | ||||||||
\(342\) | −42.9330 | − | 14.7022i | −2.32155 | − | 0.795002i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 7.15153 | − | 34.5017i | 0.385585 | − | 1.86021i | ||||
\(345\) | 27.3018 | − | 27.7540i | 1.46988 | − | 1.49423i | ||||
\(346\) | 4.51700 | − | 2.21251i | 0.242835 | − | 0.118946i | ||||
\(347\) | −2.39194 | + | 2.39194i | −0.128406 | + | 0.128406i | −0.768389 | − | 0.639983i | \(-0.778941\pi\) |
0.639983 | + | 0.768389i | \(0.278941\pi\) | |||||||
\(348\) | 3.67065 | + | 29.0847i | 0.196768 | + | 1.55910i | ||||
\(349\) | −6.54354 | −0.350268 | −0.175134 | − | 0.984545i | \(-0.556036\pi\) | ||||
−0.175134 | + | 0.984545i | \(0.556036\pi\) | |||||||
\(350\) | −6.29825 | + | 3.21436i | −0.336655 | + | 0.171815i | ||||
\(351\) | 10.7400i | 0.573259i | ||||||||
\(352\) | 0.501319 | − | 6.34515i | 0.0267204 | − | 0.338198i | ||||
\(353\) | −11.0648 | − | 11.0648i | −0.588921 | − | 0.588921i | 0.348418 | − | 0.937339i | \(-0.386719\pi\) |
−0.937339 | + | 0.348418i | \(0.886719\pi\) | |||||||
\(354\) | −47.7093 | + | 23.3690i | −2.53572 | + | 1.24205i | ||||
\(355\) | −5.10950 | − | 5.02623i | −0.271184 | − | 0.266765i | ||||
\(356\) | 5.57079 | − | 7.18002i | 0.295252 | − | 0.380540i | ||||
\(357\) | −9.80275 | − | 9.80275i | −0.518817 | − | 0.518817i | ||||
\(358\) | −6.97680 | + | 20.3735i | −0.368735 | + | 1.07677i | ||||
\(359\) | −11.7640 | −0.620879 | −0.310439 | − | 0.950593i | \(-0.600476\pi\) | ||||
−0.310439 | + | 0.950593i | \(0.600476\pi\) | |||||||
\(360\) | −6.54234 | + | 32.9212i | −0.344811 | + | 1.73510i | ||||
\(361\) | −17.5592 | −0.924170 | ||||||||
\(362\) | 7.40980 | − | 21.6380i | 0.389450 | − | 1.13727i | ||||
\(363\) | −19.8381 | − | 19.8381i | −1.04123 | − | 1.04123i | ||||
\(364\) | 2.55222 | + | 1.98020i | 0.133773 | + | 0.103791i | ||||
\(365\) | −2.09289 | + | 0.0171929i | −0.109547 | + | 0.000899920i | ||||
\(366\) | −51.7787 | + | 25.3622i | −2.70651 | + | 1.32570i | ||||
\(367\) | −13.3311 | − | 13.3311i | −0.695879 | − | 0.695879i | 0.267640 | − | 0.963519i | \(-0.413756\pi\) |
−0.963519 | + | 0.267640i | \(0.913756\pi\) | |||||||
\(368\) | −20.7952 | − | 12.3051i | −1.08403 | − | 0.641448i | ||||
\(369\) | 20.6491i | 1.07495i | ||||||||
\(370\) | 10.9408 | + | 3.64648i | 0.568785 | + | 0.189571i | ||||
\(371\) | 10.0312 | 0.520794 | ||||||||
\(372\) | −6.73059 | + | 0.849438i | −0.348965 | + | 0.0440413i | ||||
\(373\) | 1.31759 | − | 1.31759i | 0.0682224 | − | 0.0682224i | −0.672172 | − | 0.740395i | \(-0.734639\pi\) |
0.740395 | + | 0.672172i | \(0.234639\pi\) | |||||||
\(374\) | 6.87344 | − | 3.36675i | 0.355417 | − | 0.174090i | ||||
\(375\) | 0.794057 | + | 32.2142i | 0.0410049 | + | 1.66353i | ||||
\(376\) | −0.847420 | + | 4.08827i | −0.0437023 | + | 0.210837i | ||||
\(377\) | 5.80823 | − | 5.80823i | 0.299139 | − | 0.299139i | ||||
\(378\) | 8.89660 | + | 3.04659i | 0.457592 | + | 0.156700i | ||||
\(379\) | 15.0827i | 0.774744i | 0.921923 | + | 0.387372i | \(0.126617\pi\) | ||||
−0.921923 | + | 0.387372i | \(0.873383\pi\) | |||||||
\(380\) | 3.60606 | + | 26.7989i | 0.184987 | + | 1.37475i | ||||
\(381\) | − | 59.4892i | − | 3.04772i | ||||||
\(382\) | 0.0688686 | − | 0.201109i | 0.00352362 | − | 0.0102896i | ||||
\(383\) | 6.10560 | − | 6.10560i | 0.311981 | − | 0.311981i | −0.533695 | − | 0.845677i | \(-0.679197\pi\) |
0.845677 | + | 0.533695i | \(0.179197\pi\) | |||||||
\(384\) | 32.5728 | − | 1.52217i | 1.66223 | − | 0.0776781i | ||||
\(385\) | −2.51587 | + | 0.0206677i | −0.128221 | + | 0.00105333i | ||||
\(386\) | −1.35379 | − | 2.76386i | −0.0689062 | − | 0.140677i | ||||
\(387\) | −46.7489 | + | 46.7489i | −2.37638 | + | 2.37638i | ||||
\(388\) | 25.0719 | − | 3.16421i | 1.27283 | − | 0.160638i | ||||
\(389\) | 6.14729 | 0.311680 | 0.155840 | − | 0.987782i | \(-0.450192\pi\) | ||||
0.155840 | + | 0.987782i | \(0.450192\pi\) | |||||||
\(390\) | 13.1667 | − | 6.58398i | 0.666724 | − | 0.333393i | ||||
\(391\) | − | 29.0557i | − | 1.46941i | ||||||
\(392\) | 2.36430 | − | 1.55244i | 0.119415 | − | 0.0784100i | ||||
\(393\) | −19.6569 | − | 19.6569i | −0.991559 | − | 0.991559i | ||||
\(394\) | −10.7648 | − | 21.9770i | −0.542320 | − | 1.10718i | ||||
\(395\) | −12.2970 | + | 12.5007i | −0.618727 | + | 0.628977i | ||||
\(396\) | −7.32094 | + | 9.43573i | −0.367891 | + | 0.474163i | ||||
\(397\) | −17.8446 | − | 17.8446i | −0.895593 | − | 0.895593i | 0.0994493 | − | 0.995043i | \(-0.468292\pi\) |
−0.995043 | + | 0.0994493i | \(0.968292\pi\) | |||||||
\(398\) | 7.39096 | + | 2.53100i | 0.370476 | + | 0.126867i | ||||
\(399\) | 17.4270 | 0.872442 | ||||||||
\(400\) | 19.2886 | − | 5.28668i | 0.964431 | − | 0.264334i | ||||
\(401\) | 6.09484 | 0.304362 | 0.152181 | − | 0.988353i | \(-0.451370\pi\) | ||||
0.152181 | + | 0.988353i | \(0.451370\pi\) | |||||||
\(402\) | 46.4898 | + | 15.9202i | 2.31870 | + | 0.794027i | ||||
\(403\) | 1.34410 | + | 1.34410i | 0.0669545 | + | 0.0669545i | ||||
\(404\) | −6.87320 | + | 8.85864i | −0.341954 | + | 0.440734i | ||||
\(405\) | 5.08674 | − | 5.17100i | 0.252762 | − | 0.256949i | ||||
\(406\) | −3.16370 | − | 6.45891i | −0.157012 | − | 0.320551i | ||||
\(407\) | 2.90152 | + | 2.90152i | 0.143823 | + | 0.143823i | ||||
\(408\) | 21.5217 | + | 32.7768i | 1.06549 | + | 1.62269i | ||||
\(409\) | − | 31.1733i | − | 1.54142i | −0.637187 | − | 0.770709i | \(-0.719902\pi\) | ||
0.637187 | − | 0.770709i | \(-0.280098\pi\) | |||||||
\(410\) | 11.0048 | − | 5.50290i | 0.543487 | − | 0.271769i | ||||
\(411\) | −0.969347 | −0.0478144 | ||||||||
\(412\) | −11.8964 | + | 1.50139i | −0.586093 | + | 0.0739682i | ||||
\(413\) | 9.21608 | − | 9.21608i | 0.453494 | − | 0.453494i | ||||
\(414\) | 19.9436 | + | 40.7162i | 0.980173 | + | 2.00109i | ||||
\(415\) | 14.8379 | − | 0.121892i | 0.728362 | − | 0.00598345i | ||||
\(416\) | −5.93173 | − | 6.94945i | −0.290827 | − | 0.340725i | ||||
\(417\) | −31.8214 | + | 31.8214i | −1.55830 | + | 1.55830i | ||||
\(418\) | −3.11705 | + | 9.10233i | −0.152460 | + | 0.445210i | ||||
\(419\) | − | 20.5774i | − | 1.00527i | −0.864499 | − | 0.502635i | \(-0.832364\pi\) | ||
0.864499 | − | 0.502635i | \(-0.167636\pi\) | |||||||
\(420\) | −1.71893 | − | 12.7745i | −0.0838753 | − | 0.623330i | ||||
\(421\) | − | 31.4588i | − | 1.53321i | −0.642121 | − | 0.766604i | \(-0.721945\pi\) | ||
0.642121 | − | 0.766604i | \(-0.278055\pi\) | |||||||
\(422\) | 19.6356 | + | 6.72411i | 0.955847 | + | 0.327325i | ||||
\(423\) | 5.53950 | − | 5.53950i | 0.269340 | − | 0.269340i | ||||
\(424\) | −27.7820 | − | 5.75866i | −1.34921 | − | 0.279665i | ||||
\(425\) | 17.2828 | + | 16.7240i | 0.838337 | + | 0.811233i | ||||
\(426\) | 11.7331 | − | 5.74708i | 0.568469 | − | 0.278447i | ||||
\(427\) | 10.0022 | − | 10.0022i | 0.484039 | − | 0.484039i | ||||
\(428\) | −0.0793864 | + | 0.0100190i | −0.00383729 | + | 0.000484287i | ||||
\(429\) | 5.23792 | 0.252889 | ||||||||
\(430\) | 37.3729 | + | 12.4561i | 1.80228 | + | 0.600686i | ||||
\(431\) | − | 0.859240i | − | 0.0413881i | −0.999786 | − | 0.0206941i | \(-0.993412\pi\) | ||
0.999786 | − | 0.0206941i | \(-0.00658759\pi\) | |||||||
\(432\) | −22.8907 | − | 13.5450i | −1.10133 | − | 0.651685i | ||||
\(433\) | 25.0843 | + | 25.0843i | 1.20548 | + | 1.20548i | 0.972477 | + | 0.232998i | \(0.0748537\pi\) |
0.232998 | + | 0.972477i | \(0.425146\pi\) | |||||||
\(434\) | 1.49468 | − | 0.732123i | 0.0717469 | − | 0.0351430i | ||||
\(435\) | −32.7745 | + | 0.269241i | −1.57142 | + | 0.0129091i | ||||
\(436\) | 19.4266 | + | 15.0726i | 0.930364 | + | 0.721846i | ||||
\(437\) | 25.8272 | + | 25.8272i | 1.23548 | + | 1.23548i | ||||
\(438\) | 1.23602 | − | 3.60941i | 0.0590594 | − | 0.172464i | ||||
\(439\) | −15.3973 | −0.734873 | −0.367437 | − | 0.930049i | \(-0.619765\pi\) | ||||
−0.367437 | + | 0.930049i | \(0.619765\pi\) | |||||||
\(440\) | 6.97971 | + | 1.38706i | 0.332745 | + | 0.0661254i | ||||
\(441\) | −5.30708 | −0.252718 | ||||||||
\(442\) | 3.55944 | − | 10.3942i | 0.169305 | − | 0.494402i | ||||
\(443\) | 8.67120 | + | 8.67120i | 0.411981 | + | 0.411981i | 0.882428 | − | 0.470447i | \(-0.155907\pi\) |
−0.470447 | + | 0.882428i | \(0.655907\pi\) | |||||||
\(444\) | −12.8866 | + | 16.6092i | −0.611572 | + | 0.788236i | ||||
\(445\) | 7.24324 | + | 7.12520i | 0.343362 | + | 0.337767i | ||||
\(446\) | 10.9610 | − | 5.36892i | 0.519019 | − | 0.254226i | ||||
\(447\) | 26.7917 | + | 26.7917i | 1.26721 | + | 1.26721i | ||||
\(448\) | −7.43929 | + | 2.94228i | −0.351473 | + | 0.139010i | ||||
\(449\) | 5.60819i | 0.264667i | 0.991205 | + | 0.132333i | \(0.0422469\pi\) | ||||
−0.991205 | + | 0.132333i | \(0.957753\pi\) | |||||||
\(450\) | −35.6977 | − | 11.5728i | −1.68281 | − | 0.545548i | ||||
\(451\) | 4.37787 | 0.206146 | ||||||||
\(452\) | 0.192182 | + | 1.52277i | 0.00903950 | + | 0.0716252i | ||||
\(453\) | 21.7248 | − | 21.7248i | 1.02072 | − | 1.02072i | ||||
\(454\) | −18.6585 | + | 9.13930i | −0.875688 | + | 0.428929i | ||||
\(455\) | −2.53274 | + | 2.57469i | −0.118736 | + | 0.120703i | ||||
\(456\) | −48.2651 | − | 10.0044i | −2.26022 | − | 0.468500i | ||||
\(457\) | −5.78603 | + | 5.78603i | −0.270659 | + | 0.270659i | −0.829365 | − | 0.558706i | \(-0.811298\pi\) |
0.558706 | + | 0.829365i | \(0.311298\pi\) | |||||||
\(458\) | 15.8721 | + | 5.43533i | 0.741656 | + | 0.253976i | ||||
\(459\) | − | 31.9835i | − | 1.49286i | ||||||
\(460\) | 16.3845 | − | 21.4795i | 0.763932 | − | 1.00149i | ||||
\(461\) | 4.56485i | 0.212606i | 0.994334 | + | 0.106303i | \(0.0339014\pi\) | ||||
−0.994334 | + | 0.106303i | \(0.966099\pi\) | |||||||
\(462\) | 1.48583 | − | 4.33889i | 0.0691270 | − | 0.201863i | ||||
\(463\) | 4.57165 | − | 4.57165i | 0.212463 | − | 0.212463i | −0.592850 | − | 0.805313i | \(-0.701997\pi\) |
0.805313 | + | 0.592850i | \(0.201997\pi\) | |||||||
\(464\) | 5.05414 | + | 19.7045i | 0.234633 | + | 0.914760i | ||||
\(465\) | −0.0623060 | − | 7.58446i | −0.00288937 | − | 0.351721i | ||||
\(466\) | −3.13040 | − | 6.39093i | −0.145013 | − | 0.296054i | ||||
\(467\) | 16.3006 | − | 16.3006i | 0.754300 | − | 0.754300i | −0.220978 | − | 0.975279i | \(-0.570925\pi\) |
0.975279 | + | 0.220978i | \(0.0709250\pi\) | |||||||
\(468\) | 2.14659 | + | 17.0087i | 0.0992264 | + | 0.786228i | ||||
\(469\) | −12.0558 | −0.556687 | ||||||||
\(470\) | −4.42850 | − | 1.47598i | −0.204271 | − | 0.0680820i | ||||
\(471\) | − | 28.2022i | − | 1.29949i | ||||||
\(472\) | −30.8152 | + | 20.2337i | −1.41838 | + | 0.931333i | ||||
\(473\) | 9.91136 | + | 9.91136i | 0.455725 | + | 0.455725i | ||||
\(474\) | −14.0606 | − | 28.7056i | −0.645823 | − | 1.31849i | ||||
\(475\) | −30.2280 | + | 0.496677i | −1.38696 | + | 0.0227891i | ||||
\(476\) | −7.60046 | − | 5.89700i | −0.348366 | − | 0.270289i | ||||
\(477\) | 37.6438 | + | 37.6438i | 1.72359 | + | 1.72359i | ||||
\(478\) | 25.9719 | + | 8.89392i | 1.18793 | + | 0.406799i | ||||
\(479\) | −40.3109 | −1.84185 | −0.920925 | − | 0.389740i | \(-0.872565\pi\) | ||||
−0.920925 | + | 0.389740i | \(0.872565\pi\) | |||||||
\(480\) | −2.57283 | + | 36.3664i | −0.117433 | + | 1.65989i | ||||
\(481\) | 5.89032 | 0.268576 | ||||||||
\(482\) | −5.09401 | − | 1.74442i | −0.232026 | − | 0.0794560i | ||||
\(483\) | −12.3113 | − | 12.3113i | −0.560182 | − | 0.560182i | ||||
\(484\) | −15.3813 | − | 11.9339i | −0.699149 | − | 0.542452i | ||||
\(485\) | 0.232094 | + | 28.2526i | 0.0105388 | + | 1.28288i | ||||
\(486\) | −6.59347 | − | 13.4610i | −0.299086 | − | 0.610605i | ||||
\(487\) | 1.49444 | + | 1.49444i | 0.0677194 | + | 0.0677194i | 0.740155 | − | 0.672436i | \(-0.234752\pi\) |
−0.672436 | + | 0.740155i | \(0.734752\pi\) | |||||||
\(488\) | −33.4435 | + | 21.9596i | −1.51392 | + | 0.994062i | ||||
\(489\) | − | 22.1515i | − | 1.00172i | ||||||
\(490\) | 1.41432 | + | 2.82837i | 0.0638924 | + | 0.127773i | ||||
\(491\) | 18.9508 | 0.855239 | 0.427619 | − | 0.903959i | \(-0.359352\pi\) | ||||
0.427619 | + | 0.903959i | \(0.359352\pi\) | |||||||
\(492\) | 2.80832 | + | 22.2519i | 0.126609 | + | 1.00319i | ||||
\(493\) | −17.2968 | + | 17.2968i | −0.779008 | + | 0.779008i | ||||
\(494\) | 6.07532 | + | 12.4032i | 0.273341 | + | 0.558045i | ||||
\(495\) | −9.51881 | − | 9.36369i | −0.427839 | − | 0.420866i | ||||
\(496\) | −4.55989 | + | 1.16960i | −0.204745 | + | 0.0525164i | ||||
\(497\) | −2.26649 | + | 2.26649i | −0.101666 | + | 0.101666i | ||||
\(498\) | −8.76298 | + | 25.5895i | −0.392678 | + | 1.14669i | ||||
\(499\) | 31.3478i | 1.40332i | 0.712512 | + | 0.701660i | \(0.247557\pi\) | ||||
−0.712512 | + | 0.701660i | \(0.752443\pi\) | |||||||
\(500\) | 3.34565 | + | 22.1090i | 0.149622 | + | 0.988743i | ||||
\(501\) | − | 30.0424i | − | 1.34219i | ||||||
\(502\) | 9.88144 | + | 3.38384i | 0.441030 | + | 0.151028i | ||||
\(503\) | −4.67127 | + | 4.67127i | −0.208281 | + | 0.208281i | −0.803537 | − | 0.595255i | \(-0.797051\pi\) |
0.595255 | + | 0.803537i | \(0.297051\pi\) | |||||||
\(504\) | 14.6983 | + | 3.04667i | 0.654713 | + | 0.135709i | ||||
\(505\) | −8.93664 | − | 8.79101i | −0.397675 | − | 0.391195i | ||||
\(506\) | 8.63235 | − | 4.22829i | 0.383755 | − | 0.187971i | ||||
\(507\) | −21.1776 | + | 21.1776i | −0.940530 | + | 0.940530i | ||||
\(508\) | −5.16881 | − | 40.9555i | −0.229329 | − | 1.81711i | ||||
\(509\) | −20.1361 | −0.892516 | −0.446258 | − | 0.894904i | \(-0.647244\pi\) | ||||
−0.446258 | + | 0.894904i | \(0.647244\pi\) | |||||||
\(510\) | −39.2103 | + | 19.6070i | −1.73626 | + | 0.868211i | ||||
\(511\) | 0.935999i | 0.0414061i | ||||||||
\(512\) | 22.2926 | − | 3.87809i | 0.985203 | − | 0.171389i | ||||
\(513\) | 28.4296 | + | 28.4296i | 1.25520 | + | 1.25520i | ||||
\(514\) | 20.4301 | − | 10.0071i | 0.901135 | − | 0.441393i | ||||
\(515\) | −0.110126 | − | 13.4056i | −0.00485275 | − | 0.590722i | ||||
\(516\) | −44.0197 | + | 56.7356i | −1.93786 | + | 2.49765i | ||||
\(517\) | −1.17445 | − | 1.17445i | −0.0516520 | − | 0.0516520i | ||||
\(518\) | 1.67089 | − | 4.87931i | 0.0734149 | − | 0.214385i | ||||
\(519\) | −10.2508 | −0.449959 | ||||||||
\(520\) | 8.49262 | − | 5.67677i | 0.372426 | − | 0.248943i | ||||
\(521\) | 2.40321 | 0.105286 | 0.0526432 | − | 0.998613i | \(-0.483235\pi\) | ||||
0.0526432 | + | 0.998613i | \(0.483235\pi\) | |||||||
\(522\) | 12.3659 | − | 36.1106i | 0.541239 | − | 1.58052i | ||||
\(523\) | −19.2772 | − | 19.2772i | −0.842935 | − | 0.842935i | 0.146305 | − | 0.989240i | \(-0.453262\pi\) |
−0.989240 | + | 0.146305i | \(0.953262\pi\) | |||||||
\(524\) | −15.2408 | − | 11.8249i | −0.665796 | − | 0.516574i | ||||
\(525\) | 14.4091 | − | 0.236755i | 0.628863 | − | 0.0103329i | ||||
\(526\) | 3.38627 | − | 1.65866i | 0.147649 | − | 0.0723211i | ||||
\(527\) | −4.00271 | − | 4.00271i | −0.174361 | − | 0.174361i | ||||
\(528\) | −6.60594 | + | 11.1638i | −0.287486 | + | 0.485843i | ||||
\(529\) | − | 13.4911i | − | 0.586569i | ||||||
\(530\) | 10.0301 | − | 30.0940i | 0.435679 | − | 1.30720i | ||||
\(531\) | 69.1699 | 3.00172 | ||||||||
\(532\) | 11.9977 | − | 1.51417i | 0.520165 | − | 0.0656477i | ||||
\(533\) | 4.44372 | − | 4.44372i | 0.192479 | − | 0.192479i | ||||
\(534\) | −16.6328 | + | 8.14708i | −0.719773 | + | 0.352559i | ||||
\(535\) | −0.000734891 | − | 0.0894578i | −3.17721e−5 | − | 0.00386760i | ||||
\(536\) | 33.3893 | + | 6.92096i | 1.44220 | + | 0.298940i | ||||
\(537\) | 31.0341 | − | 31.0341i | 1.33922 | − | 1.33922i | ||||
\(538\) | −5.79284 | − | 1.98373i | −0.249747 | − | 0.0855245i | ||||
\(539\) | 1.12517i | 0.0484645i | ||||||||
\(540\) | 18.0355 | − | 23.6439i | 0.776124 | − | 1.01747i | ||||
\(541\) | − | 1.46872i | − | 0.0631452i | −0.999501 | − | 0.0315726i | \(-0.989948\pi\) | ||
0.999501 | − | 0.0315726i | \(-0.0100515\pi\) | |||||||
\(542\) | 9.58254 | − | 27.9828i | 0.411605 | − | 1.20196i | ||||
\(543\) | −32.9602 | + | 32.9602i | −1.41446 | + | 1.41446i | ||||
\(544\) | 17.6646 | + | 20.6953i | 0.757362 | + | 0.887304i | ||||
\(545\) | −19.2783 | + | 19.5976i | −0.825790 | + | 0.839470i | ||||
\(546\) | −2.89597 | − | 5.91233i | −0.123936 | − | 0.253024i | ||||
\(547\) | 23.7167 | − | 23.7167i | 1.01405 | − | 1.01405i | 0.0141527 | − | 0.999900i | \(-0.495495\pi\) |
0.999900 | − | 0.0141527i | \(-0.00450509\pi\) | |||||||
\(548\) | −0.667350 | + | 0.0842233i | −0.0285078 | + | 0.00359784i | ||||
\(549\) | 75.0698 | 3.20390 | ||||||||
\(550\) | −2.45359 | + | 7.56837i | −0.104621 | + | 0.322716i | ||||
\(551\) | − | 30.7497i | − | 1.30998i | ||||||
\(552\) | 27.0291 | + | 41.1643i | 1.15044 | + | 1.75207i | ||||
\(553\) | 5.54511 | + | 5.54511i | 0.235802 | + | 0.235802i | ||||
\(554\) | 19.5742 | + | 39.9621i | 0.831628 | + | 1.69783i | ||||
\(555\) | −16.7554 | − | 16.4824i | −0.711228 | − | 0.699637i | ||||
\(556\) | −19.1427 | + | 24.6724i | −0.811829 | + | 1.04634i | ||||
\(557\) | 19.5468 | + | 19.5468i | 0.828226 | + | 0.828226i | 0.987271 | − | 0.159045i | \(-0.0508416\pi\) |
−0.159045 | + | 0.987271i | \(0.550842\pi\) | |||||||
\(558\) | 8.35646 | + | 2.86163i | 0.353757 | + | 0.121142i | ||||
\(559\) | 20.1209 | 0.851023 | ||||||||
\(560\) | −2.29333 | − | 8.64527i | −0.0969111 | − | 0.365329i | ||||
\(561\) | −15.5984 | −0.658566 | ||||||||
\(562\) | −7.63815 | − | 2.61564i | −0.322196 | − | 0.110334i | ||||
\(563\) | 13.3343 | + | 13.3343i | 0.561973 | + | 0.561973i | 0.929868 | − | 0.367895i | \(-0.119921\pi\) |
−0.367895 | + | 0.929868i | \(0.619921\pi\) | |||||||
\(564\) | 5.21611 | − | 6.72288i | 0.219638 | − | 0.283084i | ||||
\(565\) | −1.71596 | + | 0.0140965i | −0.0721909 | + | 0.000593045i | ||||
\(566\) | −3.44564 | − | 7.03450i | −0.144831 | − | 0.295682i | ||||
\(567\) | −2.29378 | − | 2.29378i | −0.0963296 | − | 0.0963296i | ||||
\(568\) | 7.57832 | − | 4.97604i | 0.317979 | − | 0.208790i | ||||
\(569\) | − | 39.6529i | − | 1.66234i | −0.556020 | − | 0.831169i | \(-0.687672\pi\) | ||
0.556020 | − | 0.831169i | \(-0.312328\pi\) | |||||||
\(570\) | 17.4251 | − | 52.2817i | 0.729856 | − | 2.18984i | ||||
\(571\) | −14.7413 | −0.616904 | −0.308452 | − | 0.951240i | \(-0.599811\pi\) | ||||
−0.308452 | + | 0.951240i | \(0.599811\pi\) | |||||||
\(572\) | 3.60606 | − | 0.455105i | 0.150777 | − | 0.0190289i | ||||
\(573\) | −0.306340 | + | 0.306340i | −0.0127975 | + | 0.0127975i | ||||
\(574\) | −2.42046 | − | 4.94154i | −0.101028 | − | 0.206256i | ||||
\(575\) | 21.7054 | + | 21.0036i | 0.905177 | + | 0.875912i | ||||
\(576\) | −38.9586 | − | 16.8758i | −1.62328 | − | 0.703159i | ||||
\(577\) | 6.52078 | − | 6.52078i | 0.271464 | − | 0.271464i | −0.558226 | − | 0.829689i | \(-0.688518\pi\) |
0.829689 | + | 0.558226i | \(0.188518\pi\) | |||||||
\(578\) | −2.81106 | + | 8.20881i | −0.116925 | + | 0.341441i | ||||
\(579\) | 6.27224i | 0.260665i | ||||||||
\(580\) | −22.5403 | + | 3.03303i | −0.935936 | + | 0.125940i | ||||
\(581\) | − | 6.63591i | − | 0.275304i | ||||||
\(582\) | −48.7246 | − | 16.6855i | −2.01970 | − | 0.691635i | ||||
\(583\) | 7.98097 | − | 7.98097i | 0.330538 | − | 0.330538i | ||||
\(584\) | 0.537334 | − | 2.59230i | 0.0222350 | − | 0.107270i | ||||
\(585\) | −19.1665 | + | 0.157452i | −0.792438 | + | 0.00650984i | ||||
\(586\) | −37.0935 | + | 18.1691i | −1.53232 | + | 0.750560i | ||||
\(587\) | −20.1293 | + | 20.1293i | −0.830826 | + | 0.830826i | −0.987630 | − | 0.156804i | \(-0.949881\pi\) |
0.156804 | + | 0.987630i | \(0.449881\pi\) | |||||||
\(588\) | −5.71904 | + | 0.721774i | −0.235849 | + | 0.0297655i | ||||
\(589\) | 7.11588 | 0.293205 | ||||||||
\(590\) | −18.4335 | − | 36.8636i | −0.758897 | − | 1.51765i | ||||
\(591\) | 49.8741i | 2.05154i | ||||||||
\(592\) | −7.42872 | + | 12.5543i | −0.305319 | + | 0.515979i | ||||
\(593\) | −11.4414 | − | 11.4414i | −0.469841 | − | 0.469841i | 0.432022 | − | 0.901863i | \(-0.357800\pi\) |
−0.901863 | + | 0.432022i | \(0.857800\pi\) | |||||||
\(594\) | 9.50218 | − | 4.65435i | 0.389879 | − | 0.190970i | ||||
\(595\) | 7.54243 | − | 7.66738i | 0.309210 | − | 0.314332i | ||||
\(596\) | 20.7727 | + | 16.1170i | 0.850883 | + | 0.660178i | ||||
\(597\) | −11.2583 | − | 11.2583i | −0.460773 | − | 0.460773i | ||||
\(598\) | 4.47030 | − | 13.0541i | 0.182804 | − | 0.533821i | ||||
\(599\) | 19.4712 | 0.795570 | 0.397785 | − | 0.917479i | \(-0.369779\pi\) | ||||
0.397785 | + | 0.917479i | \(0.369779\pi\) | |||||||
\(600\) | −40.0426 | − | 7.61618i | −1.63473 | − | 0.310929i | ||||
\(601\) | 32.2378 | 1.31501 | 0.657503 | − | 0.753452i | \(-0.271613\pi\) | ||||
0.657503 | + | 0.753452i | \(0.271613\pi\) | |||||||
\(602\) | 5.70765 | − | 16.6674i | 0.232626 | − | 0.679311i | ||||
\(603\) | −45.2417 | − | 45.2417i | −1.84238 | − | 1.84238i | ||||
\(604\) | 13.0689 | − | 16.8441i | 0.531766 | − | 0.685377i | ||||
\(605\) | 15.2638 | − | 15.5167i | 0.620564 | − | 0.630844i | ||||
\(606\) | 20.5214 | − | 10.0518i | 0.833627 | − | 0.408326i | ||||
\(607\) | 7.62315 | + | 7.62315i | 0.309414 | + | 0.309414i | 0.844682 | − | 0.535268i | \(-0.179789\pi\) |
−0.535268 | + | 0.844682i | \(0.679789\pi\) | |||||||
\(608\) | −34.0975 | − | 2.69398i | −1.38284 | − | 0.109255i | ||||
\(609\) | 14.6577i | 0.593960i | ||||||||
\(610\) | −20.0058 | − | 40.0079i | −0.810012 | − | 1.61987i | ||||
\(611\) | −2.38422 | −0.0964553 | ||||||||
\(612\) | −6.39252 | − | 50.6516i | −0.258402 | − | 2.04747i | ||||
\(613\) | −29.3421 | + | 29.3421i | −1.18512 | + | 1.18512i | −0.206717 | + | 0.978401i | \(0.566278\pi\) |
−0.978401 | + | 0.206717i | \(0.933722\pi\) | |||||||
\(614\) | −0.668699 | + | 0.327542i | −0.0269865 | + | 0.0132185i | ||||
\(615\) | −25.0749 | + | 0.205989i | −1.01112 | + | 0.00830627i | ||||
\(616\) | 0.645932 | − | 3.11622i | 0.0260253 | − | 0.125556i | ||||
\(617\) | −9.56360 | + | 9.56360i | −0.385016 | + | 0.385016i | −0.872905 | − | 0.487889i | \(-0.837767\pi\) |
0.487889 | + | 0.872905i | \(0.337767\pi\) | |||||||
\(618\) | 23.1194 | + | 7.91712i | 0.930000 | + | 0.318473i | ||||
\(619\) | − | 17.2092i | − | 0.691694i | −0.938291 | − | 0.345847i | \(-0.887592\pi\) | ||
0.938291 | − | 0.345847i | \(-0.112408\pi\) | |||||||
\(620\) | −0.701883 | − | 5.21613i | −0.0281883 | − | 0.209485i | ||||
\(621\) | − | 40.1681i | − | 1.61189i | ||||||
\(622\) | 5.98708 | − | 17.4834i | 0.240060 | − | 0.701019i | ||||
\(623\) | 3.21299 | − | 3.21299i | 0.128726 | − | 0.128726i | ||||
\(624\) | 4.62644 | + | 18.0370i | 0.185206 | + | 0.722059i | ||||
\(625\) | −24.9865 | + | 0.821328i | −0.999460 | + | 0.0328531i | ||||
\(626\) | 9.74709 | + | 19.8994i | 0.389572 | + | 0.795338i | ||||
\(627\) | 13.8652 | − | 13.8652i | 0.553722 | − | 0.553722i | ||||
\(628\) | −2.45039 | − | 19.4159i | −0.0977813 | − | 0.774778i | ||||
\(629\) | −17.5413 | −0.699416 | ||||||||
\(630\) | −5.30649 | + | 15.9215i | −0.211416 | + | 0.634326i | ||||
\(631\) | − | 9.29068i | − | 0.369856i | −0.982752 | − | 0.184928i | \(-0.940795\pi\) | ||
0.982752 | − | 0.184928i | \(-0.0592052\pi\) | |||||||
\(632\) | −12.1742 | − | 18.5408i | −0.484263 | − | 0.737513i | ||||
\(633\) | −29.9101 | − | 29.9101i | −1.18882 | − | 1.18882i | ||||
\(634\) | 13.9176 | + | 28.4137i | 0.552737 | + | 1.12845i | ||||
\(635\) | 46.1513 | − | 0.379131i | 1.83146 | − | 0.0150453i | ||||
\(636\) | 45.6855 | + | 35.4462i | 1.81155 | + | 1.40553i | ||||
\(637\) | 1.14209 | + | 1.14209i | 0.0452514 | + | 0.0452514i | ||||
\(638\) | −7.65590 | − | 2.62172i | −0.303100 | − | 0.103795i | ||||
\(639\) | −17.0108 | −0.672938 | ||||||||
\(640\) | 1.38848 | + | 25.2601i | 0.0548846 | + | 0.998493i | ||||
\(641\) | 24.5315 | 0.968937 | 0.484468 | − | 0.874809i | \(-0.339013\pi\) | ||||
0.484468 | + | 0.874809i | \(0.339013\pi\) | |||||||
\(642\) | 0.154280 | + | 0.0528322i | 0.00608893 | + | 0.00208512i | ||||
\(643\) | −8.90235 | − | 8.90235i | −0.351074 | − | 0.351074i | 0.509435 | − | 0.860509i | \(-0.329854\pi\) |
−0.860509 | + | 0.509435i | \(0.829854\pi\) | |||||||
\(644\) | −9.54541 | − | 7.40604i | −0.376142 | − | 0.291839i | ||||
\(645\) | −57.2352 | − | 56.3025i | −2.25363 | − | 2.21691i | ||||
\(646\) | −18.0922 | − | 36.9364i | −0.711827 | − | 1.45324i | ||||
\(647\) | 23.3823 | + | 23.3823i | 0.919252 | + | 0.919252i | 0.996975 | − | 0.0777226i | \(-0.0247648\pi\) |
−0.0777226 | + | 0.996975i | \(0.524765\pi\) | |||||||
\(648\) | 5.03594 | + | 7.66955i | 0.197831 | + | 0.301288i | ||||
\(649\) | − | 14.6649i | − | 0.575648i | ||||||
\(650\) | 5.19172 | + | 10.1727i | 0.203636 | + | 0.399006i | ||||
\(651\) | −3.39199 | −0.132943 | ||||||||
\(652\) | −1.92467 | − | 15.2503i | −0.0753758 | − | 0.597246i | ||||
\(653\) | 16.7346 | − | 16.7346i | 0.654877 | − | 0.654877i | −0.299286 | − | 0.954163i | \(-0.596748\pi\) |
0.954163 | + | 0.299286i | \(0.0967485\pi\) | |||||||
\(654\) | −22.0431 | − | 45.0025i | −0.861954 | − | 1.75974i | ||||
\(655\) | 15.1244 | − | 15.3750i | 0.590960 | − | 0.600750i | ||||
\(656\) | 3.86679 | + | 15.0754i | 0.150973 | + | 0.588595i | ||||
\(657\) | −3.51250 | + | 3.51250i | −0.137036 | + | 0.137036i | ||||
\(658\) | −0.676326 | + | 1.97500i | −0.0263659 | + | 0.0769933i | ||||
\(659\) | − | 16.9213i | − | 0.659162i | −0.944127 | − | 0.329581i | \(-0.893093\pi\) | ||
0.944127 | − | 0.329581i | \(-0.106907\pi\) | |||||||
\(660\) | −11.5312 | − | 8.79595i | −0.448850 | − | 0.342382i | ||||
\(661\) | 38.9846i | 1.51633i | 0.652066 | + | 0.758163i | \(0.273903\pi\) | ||||
−0.652066 | + | 0.758163i | \(0.726097\pi\) | |||||||
\(662\) | 8.44814 | + | 2.89302i | 0.328346 | + | 0.112440i | ||||
\(663\) | −15.8331 | + | 15.8331i | −0.614905 | + | 0.614905i | ||||
\(664\) | −3.80951 | + | 18.3785i | −0.147838 | + | 0.713225i | ||||
\(665\) | 0.111064 | + | 13.5198i | 0.00430688 | + | 0.524274i | ||||
\(666\) | 24.5808 | − | 12.0401i | 0.952486 | − | 0.466546i | ||||
\(667\) | −21.7230 | + | 21.7230i | −0.841119 | + | 0.841119i | ||||
\(668\) | −2.61028 | − | 20.6828i | −0.100995 | − | 0.800240i | ||||
\(669\) | −24.8747 | −0.961710 | ||||||||
\(670\) | −12.0545 | + | 36.1680i | −0.465706 | + | 1.39729i | ||||
\(671\) | − | 15.9157i | − | 0.614421i | ||||||
\(672\) | 16.2535 | + | 1.28416i | 0.626994 | + | 0.0495377i | ||||
\(673\) | 19.7476 | + | 19.7476i | 0.761213 | + | 0.761213i | 0.976542 | − | 0.215329i | \(-0.0690824\pi\) |
−0.215329 | + | 0.976542i | \(0.569082\pi\) | |||||||
\(674\) | 8.07702 | − | 3.95628i | 0.311115 | − | 0.152390i | ||||
\(675\) | 23.8925 | + | 23.1201i | 0.919624 | + | 0.889892i | ||||
\(676\) | −12.7397 | + | 16.4198i | −0.489990 | + | 0.631532i | ||||
\(677\) | 7.87865 | + | 7.87865i | 0.302801 | + | 0.302801i | 0.842109 | − | 0.539308i | \(-0.181314\pi\) |
−0.539308 | + | 0.842109i | \(0.681314\pi\) | |||||||
\(678\) | 1.01342 | − | 2.95936i | 0.0389200 | − | 0.113653i | ||||
\(679\) | 12.6354 | 0.484901 | ||||||||
\(680\) | −25.2908 | + | 16.9053i | −0.969860 | + | 0.648289i | ||||
\(681\) | 42.3432 | 1.62260 | ||||||||
\(682\) | 0.606701 | − | 1.77168i | 0.0232318 | − | 0.0678410i | ||||
\(683\) | −4.99347 | − | 4.99347i | −0.191070 | − | 0.191070i | 0.605088 | − | 0.796158i | \(-0.293138\pi\) |
−0.796158 | + | 0.605088i | \(0.793138\pi\) | |||||||
\(684\) | 50.7056 | + | 39.3412i | 1.93878 | + | 1.50425i | ||||
\(685\) | −0.00617775 | − | 0.752013i | −0.000236040 | − | 0.0287330i | ||||
\(686\) | 1.27004 | − | 0.622091i | 0.0484904 | − | 0.0237515i | ||||
\(687\) | −24.1773 | − | 24.1773i | −0.922423 | − | 0.922423i | ||||
\(688\) | −25.3760 | + | 42.8845i | −0.967449 | + | 1.63496i | ||||
\(689\) | − | 16.2020i | − | 0.617248i | ||||||
\(690\) | −49.2441 | + | 24.6244i | −1.87469 | + | 0.937433i | ||||
\(691\) | 21.0032 | 0.798999 | 0.399500 | − | 0.916733i | \(-0.369184\pi\) | ||||
0.399500 | + | 0.916733i | \(0.369184\pi\) | |||||||
\(692\) | −7.05718 | + | 0.890655i | −0.268274 | + | 0.0338576i | ||||
\(693\) | −4.22240 | + | 4.22240i | −0.160396 | + | 0.160396i | ||||
\(694\) | 4.29618 | − | 2.10435i | 0.163081 | − | 0.0798801i | ||||
\(695\) | −24.8896 | − | 24.4840i | −0.944116 | − | 0.928731i | ||||
\(696\) | 8.41463 | − | 40.5953i | 0.318956 | − | 1.53876i | ||||
\(697\) | −13.2333 | + | 13.2333i | −0.501247 | + | 0.501247i | ||||
\(698\) | 8.75486 | + | 2.99805i | 0.331376 | + | 0.113478i | ||||
\(699\) | 14.5034i | 0.548570i | ||||||||
\(700\) | 9.89939 | − | 1.41495i | 0.374162 | − | 0.0534801i | ||||
\(701\) | 21.8520i | 0.825340i | 0.910881 | + | 0.412670i | \(0.135404\pi\) | ||||
−0.910881 | + | 0.412670i | \(0.864596\pi\) | |||||||
\(702\) | 4.92075 | − | 14.3695i | 0.185722 | − | 0.542341i | ||||
\(703\) | 15.5921 | − | 15.5921i | 0.588069 | − | 0.588069i | ||||
\(704\) | −3.57789 | + | 8.25973i | −0.134847 | + | 0.311300i | ||||
\(705\) | 6.78207 | + | 6.67155i | 0.255428 | + | 0.251265i | ||||
\(706\) | 9.73449 | + | 19.8736i | 0.366362 | + | 0.747954i | ||||
\(707\) | −3.96416 | + | 3.96416i | −0.149087 | + | 0.149087i | ||||
\(708\) | 74.5391 | − | 9.40725i | 2.80135 | − | 0.353546i | ||||
\(709\) | 40.1862 | 1.50922 | 0.754612 | − | 0.656171i | \(-0.227825\pi\) | ||||
0.754612 | + | 0.656171i | \(0.227825\pi\) | |||||||
\(710\) | 4.53332 | + | 9.06581i | 0.170133 | + | 0.340234i | ||||
\(711\) | 41.6180i | 1.56080i | ||||||||
\(712\) | −10.7431 | + | 7.05405i | −0.402613 | + | 0.264362i | ||||
\(713\) | −5.02700 | − | 5.02700i | −0.188262 | − | 0.188262i | ||||
\(714\) | 8.62415 | + | 17.6068i | 0.322751 | + | 0.658918i | ||||
\(715\) | 0.0333818 | + | 4.06355i | 0.00124841 | + | 0.151968i | ||||
\(716\) | 18.6691 | − | 24.0620i | 0.697696 | − | 0.899238i | ||||
\(717\) | −39.5618 | − | 39.5618i | −1.47746 | − | 1.47746i | ||||
\(718\) | 15.7395 | + | 5.38990i | 0.587392 | + | 0.201149i | ||||
\(719\) | −22.1751 | −0.826993 | −0.413496 | − | 0.910506i | \(-0.635693\pi\) | ||||
−0.413496 | + | 0.910506i | \(0.635693\pi\) | |||||||
\(720\) | 23.8367 | − | 41.0490i | 0.888343 | − | 1.52981i | ||||
\(721\) | −5.99538 | −0.223279 | ||||||||
\(722\) | 23.4932 | + | 8.04511i | 0.874325 | + | 0.299408i | ||||
\(723\) | 7.75948 | + | 7.75948i | 0.288578 | + | 0.288578i | ||||
\(724\) | −19.8277 | + | 25.5553i | −0.736891 | + | 0.949756i | ||||
\(725\) | −0.417751 | − | 25.4245i | −0.0155149 | − | 0.944244i | ||||
\(726\) | 17.4530 | + | 35.6314i | 0.647740 | + | 1.32241i | ||||
\(727\) | 22.6546 | + | 22.6546i | 0.840213 | + | 0.840213i | 0.988886 | − | 0.148674i | \(-0.0475004\pi\) |
−0.148674 | + | 0.988886i | \(0.547500\pi\) | |||||||
\(728\) | −2.50744 | − | 3.81874i | −0.0929321 | − | 0.141532i | ||||
\(729\) | 40.2798i | 1.49185i | ||||||||
\(730\) | 2.80803 | + | 0.935894i | 0.103930 | + | 0.0346390i | ||||
\(731\) | −59.9196 | −2.21621 | ||||||||
\(732\) | 80.8969 | − | 10.2096i | 2.99004 | − | 0.377359i | ||||
\(733\) | 28.2586 | − | 28.2586i | 1.04375 | − | 1.04375i | 0.0447571 | − | 0.998998i | \(-0.485749\pi\) |
0.998998 | − | 0.0447571i | \(-0.0142514\pi\) | |||||||
\(734\) | 11.7283 | + | 23.9442i | 0.432900 | + | 0.883795i | ||||
\(735\) | −0.0529419 | − | 6.44458i | −0.00195279 | − | 0.237712i | ||||
\(736\) | 22.1849 | + | 25.9912i | 0.817747 | + | 0.958049i | ||||
\(737\) | −9.59181 | + | 9.59181i | −0.353319 | + | 0.353319i | ||||
\(738\) | 9.46078 | − | 27.6272i | 0.348256 | − | 1.01697i | ||||
\(739\) | 5.77895i | 0.212582i | 0.994335 | + | 0.106291i | \(0.0338975\pi\) | ||||
−0.994335 | + | 0.106291i | \(0.966102\pi\) | |||||||
\(740\) | −12.9674 | − | 9.89151i | −0.476691 | − | 0.363619i | ||||
\(741\) | − | 28.1475i | − | 1.03402i | ||||||
\(742\) | −13.4211 | − | 4.59599i | −0.492705 | − | 0.168724i | ||||
\(743\) | 8.56593 | − | 8.56593i | 0.314254 | − | 0.314254i | −0.532301 | − | 0.846555i | \(-0.678673\pi\) |
0.846555 | + | 0.532301i | \(0.178673\pi\) | |||||||
\(744\) | 9.39430 | + | 1.94726i | 0.344412 | + | 0.0713899i | ||||
\(745\) | −20.6141 | + | 20.9556i | −0.755242 | + | 0.767754i | ||||
\(746\) | −2.36654 | + | 1.15918i | −0.0866452 | + | 0.0424405i | ||||
\(747\) | 24.9024 | − | 24.9024i | 0.911132 | − | 0.911132i | ||||
\(748\) | −10.7388 | + | 1.35529i | −0.392649 | + | 0.0495545i | ||||
\(749\) | −0.0400081 | −0.00146186 | ||||||||
\(750\) | 13.6972 | − | 43.4644i | 0.500150 | − | 1.58710i | ||||
\(751\) | 52.2973i | 1.90835i | 0.299243 | + | 0.954177i | \(0.403266\pi\) | ||||
−0.299243 | + | 0.954177i | \(0.596734\pi\) | |||||||
\(752\) | 3.00692 | − | 5.08160i | 0.109651 | − | 0.185307i | ||||
\(753\) | −15.0520 | − | 15.0520i | −0.548524 | − | 0.548524i | ||||
\(754\) | −10.4322 | + | 5.10990i | −0.379919 | + | 0.186092i | ||||
\(755\) | 16.9924 | + | 16.7155i | 0.618417 | + | 0.608339i | ||||
\(756\) | −10.5072 | − | 8.15231i | −0.382145 | − | 0.296497i | ||||
\(757\) | −1.86099 | − | 1.86099i | −0.0676388 | − | 0.0676388i | 0.672478 | − | 0.740117i | \(-0.265230\pi\) |
−0.740117 | + | 0.672478i | \(0.765230\pi\) | |||||||
\(758\) | 6.91042 | − | 20.1797i | 0.250998 | − | 0.732959i | ||||
\(759\) | −19.5901 | −0.711074 | ||||||||
\(760\) | 7.45376 | − | 37.5075i | 0.270376 | − | 1.36054i | ||||
\(761\) | −23.3338 | −0.845851 | −0.422926 | − | 0.906164i | \(-0.638997\pi\) | ||||
−0.422926 | + | 0.906164i | \(0.638997\pi\) | |||||||
\(762\) | −27.2562 | + | 79.5929i | −0.987387 | + | 2.88335i | ||||
\(763\) | 8.69321 | + | 8.69321i | 0.314715 | + | 0.314715i | ||||
\(764\) | −0.184284 | + | 0.237518i | −0.00666716 | + | 0.00859309i | ||||
\(765\) | 57.0775 | − | 0.468889i | 2.06364 | − | 0.0169527i | ||||
\(766\) | −10.9663 | + | 5.37151i | −0.396229 | + | 0.194081i | ||||
\(767\) | −14.8855 | − | 14.8855i | −0.537484 | − | 0.537484i | ||||
\(768\) | −44.2779 | − | 12.8873i | −1.59774 | − | 0.465031i | ||||
\(769\) | 4.91858i | 0.177369i | 0.996060 | + | 0.0886843i | \(0.0282662\pi\) | ||||
−0.996060 | + | 0.0886843i | \(0.971734\pi\) | |||||||
\(770\) | 3.37555 | + | 1.12504i | 0.121646 | + | 0.0405438i | ||||
\(771\) | −46.3637 | −1.66975 | ||||||||
\(772\) | 0.544974 | + | 4.31814i | 0.0196140 | + | 0.155413i | ||||
\(773\) | −23.3933 | + | 23.3933i | −0.841400 | + | 0.841400i | −0.989041 | − | 0.147641i | \(-0.952832\pi\) |
0.147641 | + | 0.989041i | \(0.452832\pi\) | |||||||
\(774\) | 83.9661 | − | 41.1282i | 3.01810 | − | 1.47832i | ||||
\(775\) | 5.88358 | − | 0.0966731i | 0.211344 | − | 0.00347260i | ||||
\(776\) | −34.9944 | − | 7.25365i | −1.25622 | − | 0.260391i | ||||
\(777\) | −7.43244 | + | 7.43244i | −0.266637 | + | 0.266637i | ||||
\(778\) | −8.22470 | − | 2.81650i | −0.294870 | − | 0.100977i | ||||
\(779\) | − | 23.5257i | − | 0.842896i | ||||||
\(780\) | −20.6329 | + | 2.77636i | −0.738775 | + | 0.0994096i | ||||
\(781\) | 3.60651i | 0.129051i | ||||||||
\(782\) | −13.3125 | + | 38.8748i | −0.476053 | + | 1.39016i | ||||
\(783\) | −23.9119 | + | 23.9119i | −0.854543 | + | 0.854543i | ||||
\(784\) | −3.87457 | + | 0.993815i | −0.138378 | + | 0.0354934i | ||||
\(785\) | 21.8791 | − | 0.179735i | 0.780897 | − | 0.00641503i | ||||
\(786\) | 17.2935 | + | 35.3059i | 0.616840 | + | 1.25932i | ||||
\(787\) | −3.19923 | + | 3.19923i | −0.114040 | + | 0.114040i | −0.761824 | − | 0.647784i | \(-0.775696\pi\) |
0.647784 | + | 0.761824i | \(0.275696\pi\) | |||||||
\(788\) | 4.33339 | + | 34.3359i | 0.154371 | + | 1.22317i | ||||
\(789\) | −7.68473 | −0.273584 | ||||||||
\(790\) | 22.1800 | − | 11.0910i | 0.789129 | − | 0.394601i | ||||
\(791\) | 0.767426i | 0.0272865i | ||||||||
\(792\) | 14.1181 | − | 9.27019i | 0.501666 | − | 0.329402i | ||||
\(793\) | −16.1551 | − | 16.1551i | −0.573686 | − | 0.573686i | ||||
\(794\) | 15.6991 | + | 32.0508i | 0.557140 | + | 1.13744i | ||||
\(795\) | −45.3367 | + | 46.0878i | −1.60793 | + | 1.63456i | ||||
\(796\) | −8.72903 | − | 6.77263i | −0.309392 | − | 0.240050i | ||||
\(797\) | −12.5647 | − | 12.5647i | −0.445066 | − | 0.445066i | 0.448645 | − | 0.893710i | \(-0.351907\pi\) |
−0.893710 | + | 0.448645i | \(0.851907\pi\) | |||||||
\(798\) | −23.3163 | − | 7.98453i | −0.825387 | − | 0.282649i | ||||
\(799\) | 7.10016 | 0.251186 | ||||||||
\(800\) | −28.2292 | − | 1.76421i | −0.998053 | − | 0.0623744i | ||||
\(801\) | 24.1146 | 0.852048 | ||||||||
\(802\) | −8.15452 | − | 2.79247i | −0.287946 | − | 0.0986056i | ||||
\(803\) | 0.744695 | + | 0.744695i | 0.0262797 | + | 0.0262797i | ||||
\(804\) | −54.9064 | − | 42.6005i | −1.93640 | − | 1.50240i | ||||
\(805\) | 9.47254 | − | 9.62946i | 0.333863 | − | 0.339394i | ||||
\(806\) | −1.18250 | − | 2.41415i | −0.0416517 | − | 0.0850349i | ||||
\(807\) | 8.82398 | + | 8.82398i | 0.310619 | + | 0.310619i | ||||
\(808\) | 13.2547 | − | 8.70323i | 0.466298 | − | 0.306179i | ||||
\(809\) | 47.6256i | 1.67443i | 0.546875 | + | 0.837214i | \(0.315817\pi\) | ||||
−0.546875 | + | 0.837214i | \(0.684183\pi\) | |||||||
\(810\) | −9.17494 | + | 4.58790i | −0.322375 | + | 0.161202i | ||||
\(811\) | 0.00749637 | 0.000263233 | 0.000131617 | − | 1.00000i | \(-0.499958\pi\) | ||||
0.000131617 | 1.00000i | \(0.499958\pi\) | ||||||||
\(812\) | 1.27356 | + | 10.0911i | 0.0446932 | + | 0.354130i | ||||
\(813\) | −42.6249 | + | 42.6249i | −1.49492 | + | 1.49492i | ||||
\(814\) | −2.55267 | − | 5.21144i | −0.0894709 | − | 0.182661i | ||||
\(815\) | 17.1850 | − | 0.141174i | 0.601963 | − | 0.00494510i | ||||
\(816\) | −13.7774 | − | 53.7139i | −0.482307 | − | 1.88036i | ||||
\(817\) | 53.2616 | − | 53.2616i | 1.86339 | − | 1.86339i | ||||
\(818\) | −14.2826 | + | 41.7079i | −0.499381 | + | 1.45828i | ||||
\(819\) | 8.57182i | 0.299524i | ||||||||
\(820\) | −17.2450 | + | 2.32049i | −0.602221 | + | 0.0810349i | ||||
\(821\) | − | 6.37425i | − | 0.222463i | −0.993795 | − | 0.111232i | \(-0.964520\pi\) | ||
0.993795 | − | 0.111232i | \(-0.0354795\pi\) | |||||||
\(822\) | 1.29693 | + | 0.444126i | 0.0452355 | + | 0.0154907i | ||||
\(823\) | 13.8579 | − | 13.8579i | 0.483058 | − | 0.483058i | −0.423049 | − | 0.906107i | \(-0.639040\pi\) |
0.906107 | + | 0.423049i | \(0.139040\pi\) | |||||||
\(824\) | 16.6045 | + | 3.44180i | 0.578446 | + | 0.119901i | ||||
\(825\) | 11.2757 | − | 11.6524i | 0.392570 | − | 0.405686i | ||||
\(826\) | −16.5531 | + | 8.10802i | −0.575956 | + | 0.282114i | ||||
\(827\) | 1.05891 | − | 1.05891i | 0.0368221 | − | 0.0368221i | −0.688456 | − | 0.725278i | \(-0.741711\pi\) |
0.725278 | + | 0.688456i | \(0.241711\pi\) | |||||||
\(828\) | −8.02835 | − | 63.6133i | −0.279005 | − | 2.21071i | ||||
\(829\) | −36.1123 | −1.25423 | −0.627115 | − | 0.778926i | \(-0.715764\pi\) | ||||
−0.627115 | + | 0.778926i | \(0.715764\pi\) | |||||||
\(830\) | −19.9080 | − | 6.63517i | −0.691016 | − | 0.230310i | ||||
\(831\) | − | 90.6890i | − | 3.14597i | ||||||
\(832\) | 4.75226 | + | 12.0157i | 0.164755 | + | 0.416569i | ||||
\(833\) | −3.40113 | − | 3.40113i | −0.117842 | − | 0.117842i | ||||
\(834\) | 57.1546 | − | 27.9954i | 1.97910 | − | 0.969403i | ||||
\(835\) | 23.3067 | − | 0.191463i | 0.806561 | − | 0.00662585i | ||||
\(836\) | 8.34083 | − | 10.7502i | 0.288474 | − | 0.371804i | ||||
\(837\) | −5.53354 | − | 5.53354i | −0.191267 | − | 0.191267i | ||||
\(838\) | −9.42793 | + | 27.5312i | −0.325682 | + | 0.951051i | ||||
\(839\) | 13.4566 | 0.464574 | 0.232287 | − | 0.972647i | \(-0.425379\pi\) | ||||
0.232287 | + | 0.972647i | \(0.425379\pi\) | |||||||
\(840\) | −3.55305 | + | 17.8790i | −0.122592 | + | 0.616885i | ||||
\(841\) | −3.13671 | −0.108162 | ||||||||
\(842\) | −14.4135 | + | 42.0899i | −0.496721 | + | 1.45051i | ||||
\(843\) | 11.6349 | + | 11.6349i | 0.400726 | + | 0.400726i | ||||
\(844\) | −23.1905 | − | 17.9929i | −0.798249 | − | 0.619341i | ||||
\(845\) | −16.5644 | − | 16.2945i | −0.569833 | − | 0.560547i | ||||
\(846\) | −9.94955 | + | 4.87348i | −0.342073 | + | 0.167554i | ||||
\(847\) | −6.88297 | − | 6.88297i | −0.236502 | − | 0.236502i | ||||
\(848\) | 34.5321 | + | 20.4336i | 1.18584 | + | 0.701693i | ||||
\(849\) | 15.9639i | 0.547881i | ||||||||
\(850\) | −15.4608 | − | 30.2941i | −0.530302 | − | 1.03908i | ||||
\(851\) | −22.0301 | −0.755181 | ||||||||
\(852\) | −18.3313 | + | 2.31351i | −0.628019 | + | 0.0792595i | ||||
\(853\) | 2.50880 | − | 2.50880i | 0.0858998 | − | 0.0858998i | −0.662851 | − | 0.748751i | \(-0.730654\pi\) |
0.748751 | + | 0.662851i | \(0.230654\pi\) | |||||||
\(854\) | −17.9650 | + | 8.79959i | −0.614749 | + | 0.301116i | ||||
\(855\) | −50.3185 | + | 51.1520i | −1.72086 | + | 1.74936i | ||||
\(856\) | 0.110805 | + | 0.0229677i | 0.00378722 | + | 0.000785018i | ||||
\(857\) | 14.7263 | − | 14.7263i | 0.503040 | − | 0.503040i | −0.409341 | − | 0.912381i | \(-0.634241\pi\) |
0.912381 | + | 0.409341i | \(0.134241\pi\) | |||||||
\(858\) | −7.00802 | − | 2.39986i | −0.239250 | − | 0.0819298i | ||||
\(859\) | 37.0552i | 1.26431i | 0.774844 | + | 0.632153i | \(0.217829\pi\) | ||||
−0.774844 | + | 0.632153i | \(0.782171\pi\) | |||||||
\(860\) | −44.2957 | − | 33.7886i | −1.51047 | − | 1.15218i | ||||
\(861\) | 11.2142i | 0.382179i | ||||||||
\(862\) | −0.393678 | + | 1.14961i | −0.0134087 | + | 0.0391559i | ||||
\(863\) | −39.0206 | + | 39.0206i | −1.32828 | + | 1.32828i | −0.421405 | + | 0.906873i | \(0.638463\pi\) |
−0.906873 | + | 0.421405i | \(0.861537\pi\) | |||||||
\(864\) | 24.4204 | + | 28.6102i | 0.830798 | + | 0.973340i | ||||
\(865\) | −0.0653293 | − | 7.95249i | −0.00222126 | − | 0.270393i | ||||
\(866\) | −22.0684 | − | 45.0542i | −0.749915 | − | 1.53100i | ||||
\(867\) | 12.5041 | − | 12.5041i | 0.424662 | − | 0.424662i | ||||
\(868\) | −2.33522 | + | 0.294718i | −0.0792627 | + | 0.0100034i | ||||
\(869\) | 8.82354 | 0.299318 | ||||||||
\(870\) | 43.9737 | + | 14.6561i | 1.49085 | + | 0.496888i | ||||
\(871\) | 19.4722i | 0.659789i | ||||||||
\(872\) | −19.0858 | − | 29.0669i | −0.646325 | − | 0.984328i | ||||
\(873\) | 47.4164 | + | 47.4164i | 1.60480 | + | 1.60480i | ||||
\(874\) | −22.7219 | − | 46.3884i | −0.768581 | − | 1.56911i | ||||
\(875\) | 0.275504 | + | 11.1769i | 0.00931372 | + | 0.377850i | ||||
\(876\) | −3.30744 | + | 4.26286i | −0.111748 | + | 0.144029i | ||||
\(877\) | 10.9399 | + | 10.9399i | 0.369414 | + | 0.369414i | 0.867264 | − | 0.497849i | \(-0.165877\pi\) |
−0.497849 | + | 0.867264i | \(0.665877\pi\) | |||||||
\(878\) | 20.6007 | + | 7.05458i | 0.695238 | + | 0.238081i | ||||
\(879\) | 84.1792 | 2.83930 | ||||||||
\(880\) | −8.70292 | − | 5.05369i | −0.293375 | − | 0.170360i | ||||
\(881\) | 38.4699 | 1.29608 | 0.648042 | − | 0.761604i | \(-0.275588\pi\) | ||||
0.648042 | + | 0.761604i | \(0.275588\pi\) | |||||||
\(882\) | 7.10055 | + | 2.43155i | 0.239088 | + | 0.0818744i | ||||
\(883\) | 10.9204 | + | 10.9204i | 0.367501 | + | 0.367501i | 0.866565 | − | 0.499064i | \(-0.166323\pi\) |
−0.499064 | + | 0.866565i | \(0.666323\pi\) | |||||||
\(884\) | −9.52463 | + | 12.2760i | −0.320348 | + | 0.412886i | ||||
\(885\) | 0.690019 | + | 83.9955i | 0.0231947 | + | 2.82348i | ||||
\(886\) | −7.62865 | − | 15.5744i | −0.256290 | − | 0.523233i | ||||
\(887\) | 33.3314 | + | 33.3314i | 1.11916 | + | 1.11916i | 0.991865 | + | 0.127294i | \(0.0406291\pi\) |
0.127294 | + | 0.991865i | \(0.459371\pi\) | |||||||
\(888\) | 24.8513 | − | 16.3178i | 0.833956 | − | 0.547589i | ||||
\(889\) | − | 20.6402i | − | 0.692250i | ||||||
\(890\) | −6.42646 | − | 12.8517i | −0.215415 | − | 0.430791i | ||||
\(891\) | −3.64993 | −0.122277 | ||||||||
\(892\) | −17.1250 | + | 2.16128i | −0.573389 | + | 0.0723649i | ||||
\(893\) | −6.31122 | + | 6.31122i | −0.211197 | + | 0.211197i | ||||
\(894\) | −23.5705 | − | 48.1209i | −0.788317 | − | 1.60940i | ||||
\(895\) | 24.2738 | + | 23.8783i | 0.811385 | + | 0.798162i | ||||
\(896\) | 11.3014 | − | 0.528129i | 0.377552 | − | 0.0176436i | ||||
\(897\) | −19.8847 | + | 19.8847i | −0.663932 | + | 0.663932i | ||||
\(898\) | 2.56950 | − | 7.50341i | 0.0857454 | − | 0.250392i | ||||
\(899\) | 5.98511i | 0.199615i | ||||||||
\(900\) | 42.4590 | + | 31.8394i | 1.41530 | + | 1.06131i | ||||
\(901\) | 48.2493i | 1.60742i | ||||||||
\(902\) | −5.85732 | − | 2.00581i | −0.195027 | − | 0.0667860i | ||||
\(903\) | −25.3887 | + | 25.3887i | −0.844882 | + | 0.844882i | ||||
\(904\) | 0.440560 | − | 2.12543i | 0.0146528 | − | 0.0706907i | ||||
\(905\) | −25.7803 | − | 25.3602i | −0.856967 | − | 0.843002i | ||||
\(906\) | −39.0201 | + | 19.1128i | −1.29636 | + | 0.634980i | ||||
\(907\) | 4.41436 | − | 4.41436i | 0.146577 | − | 0.146577i | −0.630010 | − | 0.776587i | \(-0.716949\pi\) |
0.776587 | + | 0.630010i | \(0.216949\pi\) | |||||||
\(908\) | 29.1513 | − | 3.67906i | 0.967420 | − | 0.122094i | ||||
\(909\) | −29.7524 | −0.986825 | ||||||||
\(910\) | 4.56829 | − | 2.28436i | 0.151437 | − | 0.0757257i | ||||
\(911\) | 18.2006i | 0.603012i | 0.953464 | + | 0.301506i | \(0.0974894\pi\) | ||||
−0.953464 | + | 0.301506i | \(0.902511\pi\) | |||||||
\(912\) | 59.9920 | + | 35.4989i | 1.98653 | + | 1.17549i | ||||
\(913\) | −5.27963 | − | 5.27963i | −0.174730 | − | 0.174730i | ||||
\(914\) | 10.3923 | − | 5.09037i | 0.343748 | − | 0.168374i | ||||
\(915\) | 0.748873 | + | 91.1599i | 0.0247570 | + | 3.01365i | ||||
\(916\) | −18.7456 | − | 14.5443i | −0.619373 | − | 0.480556i | ||||
\(917\) | −6.82010 | − | 6.82010i | −0.225219 | − | 0.225219i | ||||
\(918\) | −14.6539 | + | 42.7920i | −0.483651 | + | 1.41235i | ||||
\(919\) | 45.2644 | 1.49314 | 0.746568 | − | 0.665310i | \(-0.231700\pi\) | ||||
0.746568 | + | 0.665310i | \(0.231700\pi\) | |||||||
\(920\) | −31.7627 | + | 21.2314i | −1.04719 | + | 0.699978i | ||||
\(921\) | 1.51753 | 0.0500043 | ||||||||
\(922\) | 2.09148 | − | 6.10749i | 0.0688791 | − | 0.201140i | ||||
\(923\) | 3.66076 | + | 3.66076i | 0.120495 | + | 0.120495i | ||||
\(924\) | −3.97590 | + | 5.12441i | −0.130797 | + | 0.168581i | ||||
\(925\) | 12.6801 | − | 13.1038i | 0.416920 | − | 0.430850i | ||||
\(926\) | −8.21119 | + | 4.02200i | −0.269836 | + | 0.132171i | ||||
\(927\) | −22.4987 | − | 22.4987i | −0.738954 | − | 0.738954i | ||||
\(928\) | 2.26589 | − | 28.6791i | 0.0743813 | − | 0.941438i | ||||
\(929\) | 32.9683i | 1.08165i | 0.841134 | + | 0.540827i | \(0.181889\pi\) | ||||
−0.841134 | + | 0.540827i | \(0.818111\pi\) | |||||||
\(930\) | −3.39161 | + | 10.1761i | −0.111215 | + | 0.333687i | ||||
\(931\) | 6.04642 | 0.198163 | ||||||||
\(932\) | 1.26015 | + | 9.98493i | 0.0412777 | + | 0.327067i | ||||
\(933\) | −26.6317 | + | 26.6317i | −0.871881 | + | 0.871881i | ||||
\(934\) | −29.2776 | + | 14.3407i | −0.957992 | + | 0.469243i | ||||
\(935\) | −0.0994104 | − | 12.1012i | −0.00325107 | − | 0.395750i | ||||
\(936\) | 4.92087 | − | 23.7401i | 0.160844 | − | 0.775970i | ||||
\(937\) | −1.18430 | + | 1.18430i | −0.0386894 | + | 0.0386894i | −0.726187 | − | 0.687497i | \(-0.758709\pi\) |
0.687497 | + | 0.726187i | \(0.258709\pi\) | |||||||
\(938\) | 16.1300 | + | 5.52362i | 0.526662 | + | 0.180353i | ||||
\(939\) | − | 45.1591i | − | 1.47371i | ||||||
\(940\) | 5.24881 | + | 4.00378i | 0.171197 | + | 0.130589i | ||||
\(941\) | − | 18.5257i | − | 0.603921i | −0.953320 | − | 0.301960i | \(-0.902359\pi\) | ||
0.953320 | − | 0.301960i | \(-0.0976411\pi\) | |||||||
\(942\) | −12.9214 | + | 37.7328i | −0.421002 | + | 1.22940i | ||||
\(943\) | −16.6197 | + | 16.6197i | −0.541211 | + | 0.541211i | ||||
\(944\) | 50.4993 | − | 12.9529i | 1.64361 | − | 0.421581i | ||||
\(945\) | 10.4270 | − | 10.5998i | 0.339191 | − | 0.344810i | ||||
\(946\) | −8.71971 | − | 17.8019i | −0.283502 | − | 0.578789i | ||||
\(947\) | 28.1440 | − | 28.1440i | 0.914556 | − | 0.914556i | −0.0820702 | − | 0.996627i | \(-0.526153\pi\) |
0.996627 | + | 0.0820702i | \(0.0261532\pi\) | |||||||
\(948\) | 5.66013 | + | 44.8485i | 0.183832 | + | 1.45661i | ||||
\(949\) | 1.51179 | 0.0490748 | ||||||||
\(950\) | 40.6708 | + | 13.1851i | 1.31954 | + | 0.427780i | ||||
\(951\) | − | 64.4813i | − | 2.09095i | ||||||
\(952\) | 7.46712 | + | 11.3721i | 0.242011 | + | 0.368573i | ||||
\(953\) | −30.9821 | − | 30.9821i | −1.00361 | − | 1.00361i | −0.999993 | − | 0.00361421i | \(-0.998850\pi\) |
−0.00361421 | − | 0.999993i | \(-0.501150\pi\) | |||||||
\(954\) | −33.1179 | − | 67.6124i | −1.07223 | − | 2.18903i | ||||
\(955\) | −0.239609 | − | 0.235704i | −0.00775357 | − | 0.00762721i | ||||
\(956\) | −30.6738 | − | 23.7990i | −0.992063 | − | 0.769716i | ||||
\(957\) | 11.6619 | + | 11.6619i | 0.376976 | + | 0.376976i | ||||
\(958\) | 53.9335 | + | 18.4692i | 1.74251 | + | 0.596713i | ||||
\(959\) | −0.336322 | −0.0108604 | ||||||||
\(960\) | 20.1043 | − | 47.4772i | 0.648862 | − | 1.53232i | ||||
\(961\) | 29.6150 | 0.955321 | ||||||||
\(962\) | −7.88089 | − | 2.69877i | −0.254090 | − | 0.0870118i | ||||
\(963\) | −0.150137 | − | 0.150137i | −0.00483811 | − | 0.00483811i | ||||
\(964\) | 6.01623 | + | 4.66784i | 0.193770 | + | 0.150341i | ||||
\(965\) | −4.86596 | + | 0.0399736i | −0.156641 | + | 0.00128680i | ||||
\(966\) | 10.8311 | + | 22.1124i | 0.348484 | + | 0.711454i | ||||
\(967\) | 1.39596 | + | 1.39596i | 0.0448911 | + | 0.0448911i | 0.729196 | − | 0.684305i | \(-0.239894\pi\) |
−0.684305 | + | 0.729196i | \(0.739894\pi\) | |||||||
\(968\) | 15.1114 | + | 23.0141i | 0.485700 | + | 0.739702i | ||||
\(969\) | 83.8227i | 2.69277i | ||||||||
\(970\) | 12.6340 | − | 37.9066i | 0.405652 | − | 1.21711i | ||||
\(971\) | −3.19137 | −0.102416 | −0.0512079 | − | 0.998688i | \(-0.516307\pi\) | ||||
−0.0512079 | + | 0.998688i | \(0.516307\pi\) | |||||||
\(972\) | 2.65423 | + | 21.0310i | 0.0851343 | + | 0.674568i | ||||
\(973\) | −11.0406 | + | 11.0406i | −0.353947 | + | 0.353947i | ||||
\(974\) | −1.31476 | − | 2.68417i | −0.0421276 | − | 0.0860064i | ||||
\(975\) | −0.382399 | − | 23.2730i | −0.0122466 | − | 0.745333i | ||||
\(976\) | 54.8066 | − | 14.0577i | 1.75432 | − | 0.449976i | ||||
\(977\) | −16.0529 | + | 16.0529i | −0.513578 | + | 0.513578i | −0.915621 | − | 0.402043i | \(-0.868300\pi\) |
0.402043 | + | 0.915621i | \(0.368300\pi\) | |||||||
\(978\) | −10.1491 | + | 29.6373i | −0.324534 | + | 0.947697i | ||||
\(979\) | − | 5.11261i | − | 0.163400i | ||||||
\(980\) | −0.596396 | − | 4.43219i | −0.0190512 | − | 0.141581i | ||||
\(981\) | 65.2456i | 2.08313i | ||||||||
\(982\) | −25.3550 | − | 8.68270i | −0.809112 | − | 0.277076i | ||||
\(983\) | −1.23047 | + | 1.23047i | −0.0392460 | + | 0.0392460i | −0.726457 | − | 0.687211i | \(-0.758835\pi\) |
0.687211 | + | 0.726457i | \(0.258835\pi\) | |||||||
\(984\) | 6.43780 | − | 31.0584i | 0.205230 | − | 0.990105i | ||||
\(985\) | −38.6920 | + | 0.317852i | −1.23283 | + | 0.0101276i | ||||
\(986\) | 31.0669 | − | 15.2172i | 0.989372 | − | 0.484614i | ||||
\(987\) | 3.00842 | − | 3.00842i | 0.0957592 | − | 0.0957592i | ||||
\(988\) | −2.44564 | − | 19.3782i | −0.0778062 | − | 0.616503i | ||||
\(989\) | −75.2530 | −2.39291 | ||||||||
\(990\) | 8.44542 | + | 16.8893i | 0.268413 | + | 0.536776i | ||||
\(991\) | − | 18.7401i | − | 0.595300i | −0.954675 | − | 0.297650i | \(-0.903797\pi\) | ||
0.954675 | − | 0.297650i | \(-0.0962029\pi\) | |||||||
\(992\) | 6.63673 | + | 0.524356i | 0.210716 | + | 0.0166483i | ||||
\(993\) | −12.8687 | − | 12.8687i | −0.408375 | − | 0.408375i | ||||
\(994\) | 4.07087 | − | 1.99399i | 0.129120 | − | 0.0632455i | ||||
\(995\) | 8.66239 | − | 8.80589i | 0.274616 | − | 0.279165i | ||||
\(996\) | 23.4487 | − | 30.2222i | 0.742999 | − | 0.957627i | ||||
\(997\) | −19.7874 | − | 19.7874i | −0.626673 | − | 0.626673i | 0.320557 | − | 0.947229i | \(-0.396130\pi\) |
−0.947229 | + | 0.320557i | \(0.896130\pi\) | |||||||
\(998\) | 14.3626 | − | 41.9414i | 0.454641 | − | 1.32763i | ||||
\(999\) | −24.2499 | −0.767233 |
(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 | 280.2.w.a.43.3 | ✓ | 72 | |
4.3 | odd | 2 | 1120.2.bi.a.463.2 | 72 | |||
5.2 | odd | 4 | inner | 280.2.w.a.267.23 | yes | 72 | |
8.3 | odd | 2 | inner | 280.2.w.a.43.23 | yes | 72 | |
8.5 | even | 2 | 1120.2.bi.a.463.1 | 72 | |||
20.7 | even | 4 | 1120.2.bi.a.687.1 | 72 | |||
40.27 | even | 4 | inner | 280.2.w.a.267.3 | yes | 72 | |
40.37 | odd | 4 | 1120.2.bi.a.687.2 | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.w.a.43.3 | ✓ | 72 | 1.1 | even | 1 | trivial | |
280.2.w.a.43.23 | yes | 72 | 8.3 | odd | 2 | inner | |
280.2.w.a.267.3 | yes | 72 | 40.27 | even | 4 | inner | |
280.2.w.a.267.23 | yes | 72 | 5.2 | odd | 4 | inner | |
1120.2.bi.a.463.1 | 72 | 8.5 | even | 2 | |||
1120.2.bi.a.463.2 | 72 | 4.3 | odd | 2 | |||
1120.2.bi.a.687.1 | 72 | 20.7 | even | 4 | |||
1120.2.bi.a.687.2 | 72 | 40.37 | odd | 4 |