Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1755,2,Mod(586,1755)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1755, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1755.586");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1755 = 3^{3} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1755.i (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(14.0137455547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 20 x^{14} - 44 x^{13} + 96 x^{12} - 107 x^{11} + 178 x^{10} - 19 x^{9} + 231 x^{8} + \cdots + 268 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 585) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 586.1 | ||
Root | \(1.79305 + 1.53983i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1755.586 |
Dual form | 1755.2.i.f.1171.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1755\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.29305 | + | 2.23963i | −0.914326 | + | 1.58366i | −0.106440 | + | 0.994319i | \(0.533945\pi\) |
−0.807885 | + | 0.589340i | \(0.799388\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.34397 | − | 4.05987i | −1.17198 | − | 2.02993i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.13745 | − | 3.70217i | 0.807879 | − | 1.39929i | −0.106451 | − | 0.994318i | \(-0.533949\pi\) |
0.914330 | − | 0.404969i | \(-0.132718\pi\) | |||||||
\(8\) | 6.95128 | 2.45765 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.58610 | 0.817798 | ||||||||
\(11\) | 2.19223 | − | 3.79706i | 0.660983 | − | 1.14486i | −0.319375 | − | 0.947628i | \(-0.603473\pi\) |
0.980358 | − | 0.197227i | \(-0.0631938\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | ||||
\(14\) | 5.52766 | + | 9.57419i | 1.47733 | + | 2.55881i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.30043 | + | 7.44856i | −1.07511 | + | 1.86214i | ||||
\(17\) | −0.619151 | −0.150166 | −0.0750831 | − | 0.997177i | \(-0.523922\pi\) | ||||
−0.0750831 | + | 0.997177i | \(0.523922\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.61288 | −0.599435 | −0.299718 | − | 0.954028i | \(-0.596892\pi\) | ||||
−0.299718 | + | 0.954028i | \(0.596892\pi\) | |||||||
\(20\) | −2.34397 | + | 4.05987i | −0.524127 | + | 0.907814i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.66934 | + | 9.81959i | 1.20871 | + | 2.09354i | ||||
\(23\) | 2.71443 | + | 4.70154i | 0.565998 | + | 0.980338i | 0.996956 | + | 0.0779658i | \(0.0248425\pi\) |
−0.430958 | + | 0.902372i | \(0.641824\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −2.58610 | −0.507177 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −20.0404 | −3.78728 | ||||||||
\(29\) | 3.47887 | − | 6.02558i | 0.646010 | − | 1.11892i | −0.338057 | − | 0.941125i | \(-0.609770\pi\) |
0.984067 | − | 0.177796i | \(-0.0568968\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.44304 | + | 5.96353i | 0.618389 | + | 1.07108i | 0.989780 | + | 0.142605i | \(0.0455477\pi\) |
−0.371391 | + | 0.928477i | \(0.621119\pi\) | |||||||
\(32\) | −4.17008 | − | 7.22278i | −0.737172 | − | 1.27682i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.800595 | − | 1.38667i | 0.137301 | − | 0.237812i | ||||
\(35\) | −4.27489 | −0.722589 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.02164 | −0.661154 | −0.330577 | − | 0.943779i | \(-0.607243\pi\) | ||||
−0.330577 | + | 0.943779i | \(0.607243\pi\) | |||||||
\(38\) | 3.37859 | − | 5.85188i | 0.548079 | − | 0.949301i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.47564 | − | 6.01998i | −0.549547 | − | 0.951843i | ||||
\(41\) | −2.03714 | − | 3.52842i | −0.318147 | − | 0.551047i | 0.661954 | − | 0.749544i | \(-0.269727\pi\) |
−0.980101 | + | 0.198497i | \(0.936394\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.01845 | − | 8.69221i | 0.765307 | − | 1.32555i | −0.174778 | − | 0.984608i | \(-0.555921\pi\) |
0.940084 | − | 0.340942i | \(-0.110746\pi\) | |||||||
\(44\) | −20.5541 | −3.09864 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −14.0396 | −2.07003 | ||||||||
\(47\) | −0.202993 | + | 0.351595i | −0.0296096 | + | 0.0512854i | −0.880450 | − | 0.474138i | \(-0.842760\pi\) |
0.850841 | + | 0.525423i | \(0.176093\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.63736 | − | 9.76419i | −0.805337 | − | 1.39488i | ||||
\(50\) | −1.29305 | − | 2.23963i | −0.182865 | − | 0.316732i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.34397 | − | 4.05987i | 0.325050 | − | 0.563003i | ||||
\(53\) | 8.71205 | 1.19669 | 0.598346 | − | 0.801238i | \(-0.295825\pi\) | ||||
0.598346 | + | 0.801238i | \(0.295825\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.38446 | −0.591201 | ||||||||
\(56\) | 14.8580 | − | 25.7348i | 1.98548 | − | 3.43895i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.99672 | + | 15.5828i | 1.18133 | + | 2.04612i | ||||
\(59\) | −5.36073 | − | 9.28505i | −0.697907 | − | 1.20881i | −0.969191 | − | 0.246311i | \(-0.920782\pi\) |
0.271284 | − | 0.962499i | \(-0.412552\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.53609 | + | 4.39263i | −0.324713 | + | 0.562419i | −0.981454 | − | 0.191697i | \(-0.938601\pi\) |
0.656742 | + | 0.754116i | \(0.271934\pi\) | |||||||
\(62\) | −17.8081 | −2.26164 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.36679 | 0.545849 | ||||||||
\(65\) | 0.500000 | − | 0.866025i | 0.0620174 | − | 0.107417i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.27894 | − | 12.6075i | −0.889264 | − | 1.54025i | −0.840747 | − | 0.541428i | \(-0.817884\pi\) |
−0.0485164 | − | 0.998822i | \(-0.515449\pi\) | |||||||
\(68\) | 1.45127 | + | 2.51367i | 0.175992 | + | 0.304828i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.52766 | − | 9.57419i | 0.660682 | − | 1.14433i | ||||
\(71\) | −6.57523 | −0.780336 | −0.390168 | − | 0.920744i | \(-0.627583\pi\) | ||||
−0.390168 | + | 0.920744i | \(0.627583\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 16.7313 | 1.95825 | 0.979125 | − | 0.203257i | \(-0.0651527\pi\) | ||||
0.979125 | + | 0.203257i | \(0.0651527\pi\) | |||||||
\(74\) | 5.20019 | − | 9.00700i | 0.604510 | − | 1.04704i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.12450 | + | 10.6079i | 0.702528 | + | 1.21681i | ||||
\(77\) | −9.37156 | − | 16.2320i | −1.06799 | − | 1.84981i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.27288 | + | 12.5970i | −0.818263 | + | 1.41727i | 0.0886982 | + | 0.996059i | \(0.471729\pi\) |
−0.906961 | + | 0.421214i | \(0.861604\pi\) | |||||||
\(80\) | 8.60086 | 0.961605 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.5365 | 1.16356 | ||||||||
\(83\) | −1.52057 | + | 2.63370i | −0.166904 | + | 0.289086i | −0.937330 | − | 0.348444i | \(-0.886710\pi\) |
0.770426 | + | 0.637530i | \(0.220044\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.309576 | + | 0.536201i | 0.0335782 | + | 0.0581591i | ||||
\(86\) | 12.9782 | + | 22.4790i | 1.39948 | + | 2.42397i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 15.2388 | − | 26.3944i | 1.62446 | − | 2.81365i | ||||
\(89\) | −7.27070 | −0.770693 | −0.385347 | − | 0.922772i | \(-0.625918\pi\) | ||||
−0.385347 | + | 0.922772i | \(0.625918\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.27489 | 0.448131 | ||||||||
\(92\) | 12.7251 | − | 22.0405i | 1.32668 | − | 2.29788i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.524962 | − | 0.909260i | −0.0541457 | − | 0.0937830i | ||||
\(95\) | 1.30644 | + | 2.26282i | 0.134038 | + | 0.232160i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.81738 | − | 8.34394i | 0.489130 | − | 0.847199i | −0.510791 | − | 0.859705i | \(-0.670648\pi\) |
0.999922 | + | 0.0125059i | \(0.00398085\pi\) | |||||||
\(98\) | 29.1576 | 2.94536 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.68793 | 0.468793 | ||||||||
\(101\) | 3.89976 | − | 6.75458i | 0.388041 | − | 0.672106i | −0.604145 | − | 0.796874i | \(-0.706485\pi\) |
0.992186 | + | 0.124768i | \(0.0398187\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.496621 | − | 0.860172i | −0.0489335 | − | 0.0847553i | 0.840521 | − | 0.541779i | \(-0.182249\pi\) |
−0.889455 | + | 0.457023i | \(0.848916\pi\) | |||||||
\(104\) | 3.47564 | + | 6.01998i | 0.340814 | + | 0.590308i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.2651 | + | 19.5118i | −1.09417 | + | 1.89515i | ||||
\(107\) | −4.24171 | −0.410062 | −0.205031 | − | 0.978755i | \(-0.565730\pi\) | ||||
−0.205031 | + | 0.978755i | \(0.565730\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.72247 | 0.452330 | 0.226165 | − | 0.974089i | \(-0.427381\pi\) | ||||
0.226165 | + | 0.974089i | \(0.427381\pi\) | |||||||
\(110\) | 5.66934 | − | 9.81959i | 0.540550 | − | 0.936261i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 18.3839 | + | 31.8418i | 1.73711 | + | 3.00877i | ||||
\(113\) | −1.77704 | − | 3.07792i | −0.167170 | − | 0.289546i | 0.770254 | − | 0.637737i | \(-0.220129\pi\) |
−0.937424 | + | 0.348191i | \(0.886796\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.71443 | − | 4.70154i | 0.253122 | − | 0.438420i | ||||
\(116\) | −32.6174 | −3.02845 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 27.7268 | 2.55246 | ||||||||
\(119\) | −1.32340 | + | 2.29220i | −0.121316 | + | 0.210126i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.11176 | − | 7.12178i | −0.373797 | − | 0.647435i | ||||
\(122\) | −6.55858 | − | 11.3598i | −0.593786 | − | 1.02847i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 16.1408 | − | 27.9566i | 1.44948 | − | 2.51058i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.6413 | −1.21047 | −0.605234 | − | 0.796048i | \(-0.706920\pi\) | ||||
−0.605234 | + | 0.796048i | \(0.706920\pi\) | |||||||
\(128\) | 2.69366 | − | 4.66556i | 0.238088 | − | 0.412381i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.29305 | + | 2.23963i | 0.113408 | + | 0.196429i | ||||
\(131\) | 4.18118 | + | 7.24202i | 0.365312 | + | 0.632738i | 0.988826 | − | 0.149073i | \(-0.0476291\pi\) |
−0.623514 | + | 0.781812i | \(0.714296\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.58489 | + | 9.67331i | −0.484271 | + | 0.838782i | ||||
\(134\) | 37.6482 | 3.25231 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.30389 | −0.369056 | ||||||||
\(137\) | −3.37544 | + | 5.84643i | −0.288383 | + | 0.499494i | −0.973424 | − | 0.229010i | \(-0.926451\pi\) |
0.685041 | + | 0.728505i | \(0.259784\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.75288 | − | 3.03608i | −0.148678 | − | 0.257517i | 0.782061 | − | 0.623201i | \(-0.214168\pi\) |
−0.930739 | + | 0.365684i | \(0.880835\pi\) | |||||||
\(140\) | 10.0202 | + | 17.3555i | 0.846862 | + | 1.46681i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.50211 | − | 14.7261i | 0.713481 | − | 1.23579i | ||||
\(143\) | 4.38446 | 0.366647 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.95774 | −0.577809 | ||||||||
\(146\) | −21.6344 | + | 37.4720i | −1.79048 | + | 3.10120i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.42660 | + | 16.3273i | 0.774861 | + | 1.34210i | ||||
\(149\) | 6.13951 | + | 10.6339i | 0.502968 | + | 0.871166i | 0.999994 | + | 0.00343063i | \(0.00109201\pi\) |
−0.497026 | + | 0.867736i | \(0.665575\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.34821 | − | 14.4595i | 0.679367 | − | 1.17670i | −0.295804 | − | 0.955249i | \(-0.595588\pi\) |
0.975172 | − | 0.221450i | \(-0.0710791\pi\) | |||||||
\(152\) | −18.1628 | −1.47320 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 48.4717 | 3.90596 | ||||||||
\(155\) | 3.44304 | − | 5.96353i | 0.276552 | − | 0.479002i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.99844 | − | 6.92550i | −0.319110 | − | 0.552715i | 0.661192 | − | 0.750216i | \(-0.270051\pi\) |
−0.980303 | + | 0.197501i | \(0.936717\pi\) | |||||||
\(158\) | −18.8084 | − | 32.5771i | −1.49632 | − | 2.59170i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.17008 | + | 7.22278i | −0.329674 | + | 0.571011i | ||||
\(161\) | 23.2078 | 1.82903 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.3723 | −1.36071 | −0.680353 | − | 0.732885i | \(-0.738173\pi\) | ||||
−0.680353 | + | 0.732885i | \(0.738173\pi\) | |||||||
\(164\) | −9.54996 | + | 16.5410i | −0.745727 | + | 1.29164i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.93234 | − | 6.81102i | −0.305209 | − | 0.528637i | ||||
\(167\) | 2.13795 | + | 3.70303i | 0.165439 | + | 0.286549i | 0.936811 | − | 0.349835i | \(-0.113762\pi\) |
−0.771372 | + | 0.636385i | \(0.780429\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −1.60119 | −0.122806 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −47.0523 | −3.58771 | ||||||||
\(173\) | 6.47793 | − | 11.2201i | 0.492508 | − | 0.853049i | −0.507455 | − | 0.861679i | \(-0.669413\pi\) |
0.999963 | + | 0.00862929i | \(0.00274682\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.13745 | + | 3.70217i | 0.161576 | + | 0.279857i | ||||
\(176\) | 18.8551 | + | 32.6579i | 1.42125 | + | 2.46169i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.40140 | − | 16.2837i | 0.704665 | − | 1.22051i | ||||
\(179\) | −18.8530 | −1.40914 | −0.704571 | − | 0.709633i | \(-0.748861\pi\) | ||||
−0.704571 | + | 0.709633i | \(0.748861\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −21.2593 | −1.58019 | −0.790097 | − | 0.612982i | \(-0.789970\pi\) | ||||
−0.790097 | + | 0.612982i | \(0.789970\pi\) | |||||||
\(182\) | −5.52766 | + | 9.57419i | −0.409737 | + | 0.709686i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 18.8688 | + | 32.6817i | 1.39102 | + | 2.40933i | ||||
\(185\) | 2.01082 | + | 3.48284i | 0.147838 | + | 0.256064i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.35732 | + | 2.35095i | −0.0992573 | + | 0.171919i | ||||
\(188\) | 1.90324 | 0.138808 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.75717 | −0.490217 | ||||||||
\(191\) | −7.70849 | + | 13.3515i | −0.557767 | + | 0.966081i | 0.439916 | + | 0.898039i | \(0.355008\pi\) |
−0.997682 | + | 0.0680415i | \(0.978325\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.944008 | − | 1.63507i | −0.0679512 | − | 0.117695i | 0.830048 | − | 0.557692i | \(-0.188313\pi\) |
−0.897999 | + | 0.439997i | \(0.854980\pi\) | |||||||
\(194\) | 12.4582 | + | 21.5783i | 0.894449 | + | 1.54923i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −26.4276 | + | 45.7739i | −1.88768 | + | 3.26956i | ||||
\(197\) | 10.8597 | 0.773723 | 0.386862 | − | 0.922138i | \(-0.373559\pi\) | ||||
0.386862 | + | 0.922138i | \(0.373559\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.20110 | −0.0851436 | −0.0425718 | − | 0.999093i | \(-0.513555\pi\) | ||||
−0.0425718 | + | 0.999093i | \(0.513555\pi\) | |||||||
\(200\) | −3.47564 | + | 6.01998i | −0.245765 | + | 0.425677i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.0852 | + | 17.4681i | 0.709591 | + | 1.22905i | ||||
\(203\) | −14.8718 | − | 25.7587i | −1.04380 | − | 1.80791i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.03714 | + | 3.52842i | −0.142280 | + | 0.246436i | ||||
\(206\) | 2.56863 | 0.178965 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −8.60086 | −0.596362 | ||||||||
\(209\) | −5.72803 | + | 9.92125i | −0.396216 | + | 0.686267i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.117606 | + | 0.203699i | 0.00809632 | + | 0.0140232i | 0.870045 | − | 0.492972i | \(-0.164089\pi\) |
−0.861949 | + | 0.506995i | \(0.830756\pi\) | |||||||
\(212\) | −20.4208 | − | 35.3698i | −1.40250 | − | 2.42921i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.48476 | − | 9.49988i | 0.374930 | − | 0.649398i | ||||
\(215\) | −10.0369 | −0.684511 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 29.4373 | 1.99833 | ||||||||
\(218\) | −6.10639 | + | 10.5766i | −0.413577 | + | 0.716337i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.2770 | + | 17.8004i | 0.692878 | + | 1.20010i | ||||
\(221\) | −0.309576 | − | 0.536201i | −0.0208243 | − | 0.0360688i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.37747 | − | 14.5102i | 0.560997 | − | 0.971675i | −0.436413 | − | 0.899747i | \(-0.643751\pi\) |
0.997410 | − | 0.0719287i | \(-0.0229154\pi\) | |||||||
\(224\) | −35.6533 | −2.38218 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.19121 | 0.611390 | ||||||||
\(227\) | 11.4002 | − | 19.7457i | 0.756656 | − | 1.31057i | −0.187891 | − | 0.982190i | \(-0.560165\pi\) |
0.944547 | − | 0.328377i | \(-0.106502\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.48739 | + | 6.04033i | 0.230453 | + | 0.399156i | 0.957942 | − | 0.286964i | \(-0.0926459\pi\) |
−0.727488 | + | 0.686120i | \(0.759313\pi\) | |||||||
\(230\) | 7.01981 | + | 12.1587i | 0.462872 | + | 0.801718i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 24.1826 | − | 41.8855i | 1.58766 | − | 2.74992i | ||||
\(233\) | 8.63201 | 0.565502 | 0.282751 | − | 0.959193i | \(-0.408753\pi\) | ||||
0.282751 | + | 0.959193i | \(0.408753\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.405987 | 0.0264836 | ||||||||
\(236\) | −25.1307 | + | 43.5277i | −1.63587 | + | 2.83341i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.42246 | − | 5.92787i | −0.221845 | − | 0.384247i | ||||
\(239\) | −1.53550 | − | 2.65957i | −0.0993235 | − | 0.172033i | 0.812081 | − | 0.583544i | \(-0.198335\pi\) |
−0.911405 | + | 0.411511i | \(0.865001\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.91634 | + | 5.05125i | −0.187858 | + | 0.325379i | −0.944536 | − | 0.328408i | \(-0.893488\pi\) |
0.756678 | + | 0.653788i | \(0.226821\pi\) | |||||||
\(242\) | 21.2669 | 1.36709 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 23.7780 | 1.52223 | ||||||||
\(245\) | −5.63736 | + | 9.76419i | −0.360157 | + | 0.623811i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.30644 | − | 2.26282i | −0.0831267 | − | 0.143980i | ||||
\(248\) | 23.9336 | + | 41.4541i | 1.51978 | + | 2.63234i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.29305 | + | 2.23963i | −0.0817798 | + | 0.141647i | ||||
\(251\) | 23.7101 | 1.49657 | 0.748285 | − | 0.663378i | \(-0.230878\pi\) | ||||
0.748285 | + | 0.663378i | \(0.230878\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 23.8027 | 1.49646 | ||||||||
\(254\) | 17.6389 | − | 30.5514i | 1.10676 | − | 1.91697i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 11.3329 | + | 19.6291i | 0.708305 | + | 1.22682i | ||||
\(257\) | 9.65384 | + | 16.7209i | 0.602190 | + | 1.04302i | 0.992489 | + | 0.122335i | \(0.0390383\pi\) |
−0.390299 | + | 0.920688i | \(0.627628\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.59604 | + | 14.8888i | −0.534132 | + | 0.925144i | ||||
\(260\) | −4.68793 | −0.290733 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −21.6260 | −1.33606 | ||||||||
\(263\) | −5.85985 | + | 10.1496i | −0.361334 | + | 0.625848i | −0.988181 | − | 0.153294i | \(-0.951012\pi\) |
0.626847 | + | 0.779142i | \(0.284345\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.35603 | − | 7.54486i | −0.267589 | − | 0.463477i | ||||
\(266\) | −14.4431 | − | 25.0162i | −0.885563 | − | 1.53384i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −34.1232 | + | 59.1031i | −2.08440 | + | 3.61029i | ||||
\(269\) | 17.0088 | 1.03705 | 0.518524 | − | 0.855063i | \(-0.326482\pi\) | ||||
0.518524 | + | 0.855063i | \(0.326482\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.4840 | −0.758348 | −0.379174 | − | 0.925325i | \(-0.623792\pi\) | ||||
−0.379174 | + | 0.925325i | \(0.623792\pi\) | |||||||
\(272\) | 2.66262 | − | 4.61179i | 0.161445 | − | 0.279631i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.72924 | − | 15.1195i | −0.527353 | − | 0.913401i | ||||
\(275\) | 2.19223 | + | 3.79706i | 0.132197 | + | 0.228971i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.1444 | + | 17.5705i | −0.609516 | + | 1.05571i | 0.381805 | + | 0.924243i | \(0.375303\pi\) |
−0.991320 | + | 0.131469i | \(0.958031\pi\) | |||||||
\(278\) | 9.06628 | 0.543759 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −29.7160 | −1.77587 | ||||||||
\(281\) | −4.18725 | + | 7.25252i | −0.249790 | + | 0.432649i | −0.963467 | − | 0.267825i | \(-0.913695\pi\) |
0.713677 | + | 0.700475i | \(0.247028\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.11281 | + | 1.92745i | 0.0661498 | + | 0.114575i | 0.897203 | − | 0.441617i | \(-0.145595\pi\) |
−0.831054 | + | 0.556192i | \(0.812262\pi\) | |||||||
\(284\) | 15.4121 | + | 26.6946i | 0.914541 | + | 1.58403i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.66934 | + | 9.81959i | −0.335235 | + | 0.580644i | ||||
\(287\) | −17.4171 | −1.02810 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.6167 | −0.977450 | ||||||||
\(290\) | 8.99672 | − | 15.5828i | 0.528305 | − | 0.915052i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −39.2176 | − | 67.9269i | −2.29504 | − | 3.97512i | ||||
\(293\) | −1.26944 | − | 2.19873i | −0.0741613 | − | 0.128451i | 0.826560 | − | 0.562849i | \(-0.190295\pi\) |
−0.900721 | + | 0.434398i | \(0.856961\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.36073 | + | 9.28505i | −0.312114 | + | 0.540596i | ||||
\(296\) | −27.9555 | −1.62488 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −31.7548 | −1.83951 | ||||||||
\(299\) | −2.71443 | + | 4.70154i | −0.156980 | + | 0.271897i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −21.4533 | − | 37.1583i | −1.23655 | − | 2.14177i | ||||
\(302\) | 21.5893 | + | 37.3938i | 1.24233 | + | 2.15177i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.2365 | − | 19.4622i | 0.644457 | − | 1.11623i | ||||
\(305\) | 5.07217 | 0.290432 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 19.2343 | 1.09776 | 0.548881 | − | 0.835901i | \(-0.315054\pi\) | ||||
0.548881 | + | 0.835901i | \(0.315054\pi\) | |||||||
\(308\) | −43.9332 | + | 76.0946i | −2.50333 | + | 4.33589i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 8.90407 | + | 15.4223i | 0.505717 | + | 0.875928i | ||||
\(311\) | 4.38021 | + | 7.58674i | 0.248379 | + | 0.430205i | 0.963076 | − | 0.269229i | \(-0.0867689\pi\) |
−0.714697 | + | 0.699434i | \(0.753436\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.08910 | − | 10.5466i | 0.344176 | − | 0.596131i | −0.641027 | − | 0.767518i | \(-0.721491\pi\) |
0.985204 | + | 0.171387i | \(0.0548248\pi\) | |||||||
\(314\) | 20.6808 | 1.16708 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 68.1896 | 3.83596 | ||||||||
\(317\) | 8.66227 | − | 15.0035i | 0.486521 | − | 0.842680i | −0.513359 | − | 0.858174i | \(-0.671599\pi\) |
0.999880 | + | 0.0154945i | \(0.00493225\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.2530 | − | 26.4189i | −0.854003 | − | 1.47918i | ||||
\(320\) | −2.18340 | − | 3.78175i | −0.122056 | − | 0.211407i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −30.0089 | + | 51.9770i | −1.67233 | + | 2.89656i | ||||
\(323\) | 1.61777 | 0.0900149 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.00000 | −0.0554700 | ||||||||
\(326\) | 22.4633 | − | 38.9076i | 1.24413 | − | 2.15489i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.1607 | − | 24.5270i | −0.781894 | − | 1.35428i | ||||
\(329\) | 0.867775 | + | 1.50303i | 0.0478420 | + | 0.0828647i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.23037 | + | 2.13106i | −0.0676272 | + | 0.117134i | −0.897856 | − | 0.440288i | \(-0.854876\pi\) |
0.830229 | + | 0.557422i | \(0.188210\pi\) | |||||||
\(332\) | 14.2566 | 0.782434 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.0579 | −0.605062 | ||||||||
\(335\) | −7.27894 | + | 12.6075i | −0.397691 | + | 0.688821i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −10.3743 | − | 17.9688i | −0.565123 | − | 0.978821i | −0.997038 | − | 0.0769073i | \(-0.975495\pi\) |
0.431915 | − | 0.901914i | \(-0.357838\pi\) | |||||||
\(338\) | −1.29305 | − | 2.23963i | −0.0703328 | − | 0.121820i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.45127 | − | 2.51367i | 0.0787062 | − | 0.136323i | ||||
\(341\) | 30.1918 | 1.63498 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.2739 | −0.986700 | ||||||||
\(344\) | 34.8846 | − | 60.4220i | 1.88085 | − | 3.25773i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.7526 | + | 29.0164i | 0.900626 | + | 1.55993i | ||||
\(347\) | −6.29383 | − | 10.9012i | −0.337871 | − | 0.585209i | 0.646161 | − | 0.763201i | \(-0.276373\pi\) |
−0.984032 | + | 0.177992i | \(0.943040\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.98642 | − | 17.2970i | 0.534561 | − | 0.925887i | −0.464624 | − | 0.885508i | \(-0.653810\pi\) |
0.999184 | − | 0.0403782i | \(-0.0128563\pi\) | |||||||
\(350\) | −11.0553 | −0.590932 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −36.5671 | −1.94903 | ||||||||
\(353\) | 2.94467 | − | 5.10031i | 0.156729 | − | 0.271462i | −0.776958 | − | 0.629552i | \(-0.783238\pi\) |
0.933687 | + | 0.358090i | \(0.116572\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.28761 | + | 5.69431i | 0.174488 | + | 0.302223i | ||||
\(356\) | 17.0423 | + | 29.5181i | 0.903240 | + | 1.56446i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 24.3780 | − | 42.2239i | 1.28842 | − | 2.23160i | ||||
\(359\) | −17.8334 | −0.941209 | −0.470605 | − | 0.882344i | \(-0.655964\pi\) | ||||
−0.470605 | + | 0.882344i | \(0.655964\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.1729 | −0.640677 | ||||||||
\(362\) | 27.4894 | − | 47.6131i | 1.44481 | − | 2.50249i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.0202 | − | 17.3555i | −0.525202 | − | 0.909676i | ||||
\(365\) | −8.36565 | − | 14.4897i | −0.437878 | − | 0.758427i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.9165 | − | 25.8361i | 0.778633 | − | 1.34863i | −0.154097 | − | 0.988056i | \(-0.549247\pi\) |
0.932730 | − | 0.360576i | \(-0.117420\pi\) | |||||||
\(368\) | −46.6929 | −2.43404 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.4004 | −0.540690 | ||||||||
\(371\) | 18.6215 | − | 32.2535i | 0.966783 | − | 1.67452i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.28970 | + | 12.6261i | 0.377446 | + | 0.653756i | 0.990690 | − | 0.136138i | \(-0.0434690\pi\) |
−0.613244 | + | 0.789894i | \(0.710136\pi\) | |||||||
\(374\) | −3.51018 | − | 6.07981i | −0.181507 | − | 0.314379i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.41106 | + | 2.44403i | −0.0727700 | + | 0.126041i | ||||
\(377\) | 6.95774 | 0.358342 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.7048 | 1.06353 | 0.531766 | − | 0.846891i | \(-0.321529\pi\) | ||||
0.531766 | + | 0.846891i | \(0.321529\pi\) | |||||||
\(380\) | 6.12450 | − | 10.6079i | 0.314180 | − | 0.544176i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.9350 | − | 34.5284i | −1.01996 | − | 1.76663i | ||||
\(383\) | −12.7832 | − | 22.1412i | −0.653193 | − | 1.13136i | −0.982344 | − | 0.187086i | \(-0.940096\pi\) |
0.329150 | − | 0.944277i | \(-0.393238\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.37156 | + | 16.2320i | −0.477619 | + | 0.827260i | ||||
\(386\) | 4.88260 | 0.248518 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −45.1671 | −2.29301 | ||||||||
\(389\) | −8.56520 | + | 14.8354i | −0.434273 | + | 0.752183i | −0.997236 | − | 0.0742992i | \(-0.976328\pi\) |
0.562963 | + | 0.826482i | \(0.309661\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.68064 | − | 2.91096i | −0.0849939 | − | 0.147214i | ||||
\(392\) | −39.1868 | − | 67.8736i | −1.97923 | − | 3.42813i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −14.0422 | + | 24.3218i | −0.707435 | + | 1.22531i | ||||
\(395\) | 14.5458 | 0.731877 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −15.8337 | −0.794669 | −0.397334 | − | 0.917674i | \(-0.630065\pi\) | ||||
−0.397334 | + | 0.917674i | \(0.630065\pi\) | |||||||
\(398\) | 1.55308 | − | 2.69002i | 0.0778490 | − | 0.134838i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.30043 | − | 7.44856i | −0.215021 | − | 0.372428i | ||||
\(401\) | −17.0554 | − | 29.5408i | −0.851706 | − | 1.47520i | −0.879668 | − | 0.475588i | \(-0.842235\pi\) |
0.0279624 | − | 0.999609i | \(-0.491098\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.44304 | + | 5.96353i | −0.171510 | + | 0.297065i | ||||
\(404\) | −36.5636 | −1.81911 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 76.9200 | 3.81748 | ||||||||
\(407\) | −8.81637 | + | 15.2704i | −0.437011 | + | 0.756926i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.57264 | + | 16.5803i | 0.473336 | + | 0.819843i | 0.999534 | − | 0.0305196i | \(-0.00971618\pi\) |
−0.526198 | + | 0.850362i | \(0.676383\pi\) | |||||||
\(410\) | −5.26825 | − | 9.12487i | −0.260180 | − | 0.450645i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.32812 | + | 4.03243i | −0.114698 | + | 0.198664i | ||||
\(413\) | −45.8331 | −2.25530 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.04113 | 0.149283 | ||||||||
\(416\) | 4.17008 | − | 7.22278i | 0.204455 | − | 0.354126i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −14.8133 | − | 25.6574i | −0.724542 | − | 1.25494i | ||||
\(419\) | 3.56749 | + | 6.17908i | 0.174284 | + | 0.301868i | 0.939913 | − | 0.341414i | \(-0.110906\pi\) |
−0.765630 | + | 0.643282i | \(0.777572\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.0809 | − | 22.6568i | 0.637524 | − | 1.10422i | −0.348451 | − | 0.937327i | \(-0.613292\pi\) |
0.985974 | − | 0.166896i | \(-0.0533745\pi\) | |||||||
\(422\) | −0.608282 | −0.0296107 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 60.5599 | 2.94105 | ||||||||
\(425\) | 0.309576 | − | 0.536201i | 0.0150166 | − | 0.0260096i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.8415 | + | 18.7780i | 0.524657 | + | 0.908732i | ||||
\(428\) | 9.94244 | + | 17.2208i | 0.480586 | + | 0.832399i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.9782 | − | 22.4790i | 0.625866 | − | 1.08403i | ||||
\(431\) | 12.4211 | 0.598302 | 0.299151 | − | 0.954206i | \(-0.403297\pi\) | ||||
0.299151 | + | 0.954206i | \(0.403297\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.04541 | −0.290524 | −0.145262 | − | 0.989393i | \(-0.546402\pi\) | ||||
−0.145262 | + | 0.989393i | \(0.546402\pi\) | |||||||
\(434\) | −38.0640 | + | 65.9287i | −1.82713 | + | 3.16468i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.0693 | − | 19.1726i | −0.530124 | − | 0.918201i | ||||
\(437\) | −7.09248 | − | 12.2845i | −0.339279 | − | 0.587649i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.3382 | − | 24.8345i | 0.684326 | − | 1.18529i | −0.289323 | − | 0.957232i | \(-0.593430\pi\) |
0.973648 | − | 0.228055i | \(-0.0732366\pi\) | |||||||
\(440\) | −30.4776 | −1.45296 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.60119 | 0.0761608 | ||||||||
\(443\) | −4.57498 | + | 7.92410i | −0.217364 | + | 0.376485i | −0.954001 | − | 0.299803i | \(-0.903079\pi\) |
0.736637 | + | 0.676288i | \(0.236412\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.63535 | + | 6.29661i | 0.172332 | + | 0.298488i | ||||
\(446\) | 21.6650 | + | 37.5249i | 1.02587 | + | 1.77686i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 9.33379 | − | 16.1666i | 0.440980 | − | 0.763800i | ||||
\(449\) | −35.4645 | −1.67367 | −0.836837 | − | 0.547452i | \(-0.815598\pi\) | ||||
−0.836837 | + | 0.547452i | \(0.815598\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −17.8635 | −0.841160 | ||||||||
\(452\) | −8.33064 | + | 14.4291i | −0.391840 | + | 0.678687i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 29.4820 | + | 51.0644i | 1.38366 | + | 2.39657i | ||||
\(455\) | −2.13745 | − | 3.70217i | −0.100205 | − | 0.173560i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.70631 | + | 8.15156i | −0.220152 | + | 0.381314i | −0.954854 | − | 0.297076i | \(-0.903989\pi\) |
0.734702 | + | 0.678390i | \(0.237322\pi\) | |||||||
\(458\) | −18.0375 | −0.842837 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −25.4502 | −1.18662 | ||||||||
\(461\) | −10.2513 | + | 17.7557i | −0.477450 | + | 0.826967i | −0.999666 | − | 0.0258461i | \(-0.991772\pi\) |
0.522216 | + | 0.852813i | \(0.325105\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.8916 | + | 32.7211i | 0.877965 | + | 1.52068i | 0.853570 | + | 0.520978i | \(0.174433\pi\) |
0.0243951 | + | 0.999702i | \(0.492234\pi\) | |||||||
\(464\) | 29.9213 | + | 51.8251i | 1.38906 | + | 2.40592i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.1616 | + | 19.3325i | −0.517053 | + | 0.895562i | ||||
\(467\) | 12.8882 | 0.596394 | 0.298197 | − | 0.954504i | \(-0.403615\pi\) | ||||
0.298197 | + | 0.954504i | \(0.403615\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −62.2334 | −2.87367 | ||||||||
\(470\) | −0.524962 | + | 0.909260i | −0.0242147 | + | 0.0419411i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −37.2639 | − | 64.5429i | −1.71521 | − | 2.97083i | ||||
\(473\) | −22.0032 | − | 38.1107i | −1.01171 | − | 1.75233i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.30644 | − | 2.26282i | 0.0599435 | − | 0.103825i | ||||
\(476\) | 12.4080 | 0.568722 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.94194 | 0.363256 | ||||||||
\(479\) | 10.0940 | − | 17.4833i | 0.461207 | − | 0.798835i | −0.537814 | − | 0.843063i | \(-0.680750\pi\) |
0.999021 | + | 0.0442289i | \(0.0140831\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.01082 | − | 3.48284i | −0.0916855 | − | 0.158804i | ||||
\(482\) | −7.54195 | − | 13.0630i | −0.343527 | − | 0.595006i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.2757 | + | 33.3865i | −0.876167 | + | 1.51757i | ||||
\(485\) | −9.63475 | −0.437492 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.1480 | 0.686423 | 0.343212 | − | 0.939258i | \(-0.388485\pi\) | ||||
0.343212 | + | 0.939258i | \(0.388485\pi\) | |||||||
\(488\) | −17.6290 | + | 30.5344i | −0.798029 | + | 1.38223i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −14.5788 | − | 25.2512i | −0.658603 | − | 1.14073i | ||||
\(491\) | −5.74374 | − | 9.94845i | −0.259211 | − | 0.448967i | 0.706820 | − | 0.707394i | \(-0.250129\pi\) |
−0.966031 | + | 0.258427i | \(0.916796\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2.15395 | + | 3.73074i | −0.0970089 | + | 0.168024i | ||||
\(494\) | 6.75717 | 0.304020 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −59.2263 | −2.65934 | ||||||||
\(497\) | −14.0542 | + | 24.3426i | −0.630417 | + | 1.09191i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.56005 | + | 11.3623i | 0.293668 | + | 0.508648i | 0.974674 | − | 0.223630i | \(-0.0717906\pi\) |
−0.681006 | + | 0.732278i | \(0.738457\pi\) | |||||||
\(500\) | −2.34397 | − | 4.05987i | −0.104825 | − | 0.181563i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −30.6584 | + | 53.1019i | −1.36835 | + | 2.37006i | ||||
\(503\) | −7.80396 | −0.347961 | −0.173981 | − | 0.984749i | \(-0.555663\pi\) | ||||
−0.173981 | + | 0.984749i | \(0.555663\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.79952 | −0.347074 | ||||||||
\(506\) | −30.7781 | + | 53.3092i | −1.36825 | + | 2.36988i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 31.9747 | + | 55.3818i | 1.41865 | + | 2.45717i | ||||
\(509\) | 10.9919 | + | 19.0385i | 0.487205 | + | 0.843865i | 0.999892 | − | 0.0147114i | \(-0.00468295\pi\) |
−0.512686 | + | 0.858576i | \(0.671350\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 35.7623 | − | 61.9421i | 1.58203 | − | 2.74016i | ||||
\(512\) | −47.8414 | −2.11431 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −49.9316 | −2.20239 | ||||||||
\(515\) | −0.496621 | + | 0.860172i | −0.0218837 | + | 0.0379037i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.890017 | + | 1.54155i | 0.0391429 | + | 0.0677975i | ||||
\(518\) | −22.2303 | − | 38.5039i | −0.976742 | − | 1.69177i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.47564 | − | 6.01998i | 0.152417 | − | 0.263994i | ||||
\(521\) | −12.1706 | −0.533205 | −0.266603 | − | 0.963807i | \(-0.585901\pi\) | ||||
−0.266603 | + | 0.963807i | \(0.585901\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.5468 | 1.42317 | 0.711587 | − | 0.702598i | \(-0.247977\pi\) | ||||
0.711587 | + | 0.702598i | \(0.247977\pi\) | |||||||
\(524\) | 19.6011 | − | 33.9501i | 0.856279 | − | 1.48312i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −15.1542 | − | 26.2478i | −0.660753 | − | 1.14446i | ||||
\(527\) | −2.13177 | − | 3.69233i | −0.0928612 | − | 0.160840i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.23629 | + | 5.60543i | −0.140708 | + | 0.243714i | ||||
\(530\) | 22.5303 | 0.978653 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 52.3632 | 2.27023 | ||||||||
\(533\) | 2.03714 | − | 3.52842i | 0.0882382 | − | 0.152833i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.12086 | + | 3.67343i | 0.0916927 | + | 0.158816i | ||||
\(536\) | −50.5979 | − | 87.6381i | −2.18550 | − | 3.78539i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −21.9933 | + | 38.0936i | −0.948199 | + | 1.64233i | ||||
\(539\) | −49.4336 | −2.12925 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.3865 | −0.704511 | −0.352256 | − | 0.935904i | \(-0.614585\pi\) | ||||
−0.352256 | + | 0.935904i | \(0.614585\pi\) | |||||||
\(542\) | 16.1424 | − | 27.9595i | 0.693378 | − | 1.20097i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.58191 | + | 4.47200i | 0.110698 | + | 0.191735i | ||||
\(545\) | −2.36123 | − | 4.08978i | −0.101144 | − | 0.175187i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.53335 | + | 16.5122i | −0.407616 | + | 0.706012i | −0.994622 | − | 0.103570i | \(-0.966973\pi\) |
0.587006 | + | 0.809583i | \(0.300307\pi\) | |||||||
\(548\) | 31.6477 | 1.35192 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −11.3387 | −0.483483 | ||||||||
\(551\) | −9.08986 | + | 15.7441i | −0.387241 | + | 0.670721i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 31.0908 | + | 53.8508i | 1.32211 | + | 2.28997i | ||||
\(554\) | −26.2344 | − | 45.4393i | −1.11459 | − | 1.93053i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.21740 | + | 14.2330i | −0.348495 | + | 0.603612i | ||||
\(557\) | 38.2913 | 1.62245 | 0.811227 | − | 0.584732i | \(-0.198800\pi\) | ||||
0.811227 | + | 0.584732i | \(0.198800\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.0369 | 0.424516 | ||||||||
\(560\) | 18.3839 | − | 31.8418i | 0.776860 | − | 1.34556i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.8287 | − | 18.7558i | −0.456779 | − | 0.791165i | ||||
\(563\) | 5.17040 | + | 8.95540i | 0.217906 | + | 0.377425i | 0.954168 | − | 0.299272i | \(-0.0967439\pi\) |
−0.736261 | + | 0.676697i | \(0.763411\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.77704 | + | 3.07792i | −0.0747605 | + | 0.129489i | ||||
\(566\) | −5.75569 | −0.241930 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −45.7062 | −1.91779 | ||||||||
\(569\) | −13.0134 | + | 22.5398i | −0.545548 | + | 0.944917i | 0.453024 | + | 0.891498i | \(0.350345\pi\) |
−0.998572 | + | 0.0534187i | \(0.982988\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.1620 | + | 27.9933i | 0.676357 | + | 1.17148i | 0.976070 | + | 0.217456i | \(0.0697757\pi\) |
−0.299713 | + | 0.954029i | \(0.596891\pi\) | |||||||
\(572\) | −10.2770 | − | 17.8004i | −0.429705 | − | 0.744270i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.5212 | − | 39.0078i | 0.940016 | − | 1.62816i | ||||
\(575\) | −5.42887 | −0.226399 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.4808 | 0.519581 | 0.259790 | − | 0.965665i | \(-0.416347\pi\) | ||||
0.259790 | + | 0.965665i | \(0.416347\pi\) | |||||||
\(578\) | 21.4862 | − | 37.2152i | 0.893708 | − | 1.54795i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 16.3087 | + | 28.2475i | 0.677182 | + | 1.17291i | ||||
\(581\) | 6.50026 | + | 11.2588i | 0.269676 | + | 0.467093i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 19.0988 | − | 33.0802i | 0.790993 | − | 1.37004i | ||||
\(584\) | 116.304 | 4.81269 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 6.56579 | 0.271230 | ||||||||
\(587\) | −12.5975 | + | 21.8195i | −0.519955 | + | 0.900588i | 0.479776 | + | 0.877391i | \(0.340718\pi\) |
−0.999731 | + | 0.0231969i | \(0.992616\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.99625 | − | 15.5820i | −0.370684 | − | 0.642044i | ||||
\(590\) | −13.8634 | − | 24.0121i | −0.570747 | − | 0.988563i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 17.2948 | − | 29.9554i | 0.710811 | − | 1.23116i | ||||
\(593\) | 38.4456 | 1.57877 | 0.789385 | − | 0.613898i | \(-0.210399\pi\) | ||||
0.789385 | + | 0.613898i | \(0.210399\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.64681 | 0.108508 | ||||||||
\(596\) | 28.7816 | − | 49.8512i | 1.17894 | − | 2.04198i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.01981 | − | 12.1587i | −0.287061 | − | 0.497205i | ||||
\(599\) | −23.6618 | − | 40.9834i | −0.966795 | − | 1.67454i | −0.704713 | − | 0.709493i | \(-0.748924\pi\) |
−0.262082 | − | 0.965045i | \(-0.584409\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.0328 | + | 34.6979i | −0.817156 | + | 1.41536i | 0.0906140 | + | 0.995886i | \(0.471117\pi\) |
−0.907770 | + | 0.419469i | \(0.862216\pi\) | |||||||
\(602\) | 110.961 | 4.52244 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −78.2717 | −3.18483 | ||||||||
\(605\) | −4.11176 | + | 7.12178i | −0.167167 | + | 0.289542i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −10.3060 | − | 17.8505i | −0.418306 | − | 0.724528i | 0.577463 | − | 0.816417i | \(-0.304043\pi\) |
−0.995769 | + | 0.0918893i | \(0.970709\pi\) | |||||||
\(608\) | 10.8959 | + | 18.8723i | 0.441887 | + | 0.765371i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.55858 | + | 11.3598i | −0.265549 | + | 0.459945i | ||||
\(611\) | −0.405987 | −0.0164245 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.02465 | −0.162554 | −0.0812770 | − | 0.996692i | \(-0.525900\pi\) | ||||
−0.0812770 | + | 0.996692i | \(0.525900\pi\) | |||||||
\(614\) | −24.8710 | + | 43.0778i | −1.00371 | + | 1.73848i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −65.1443 | − | 112.833i | −2.62474 | − | 4.54618i | ||||
\(617\) | 14.9120 | + | 25.8283i | 0.600334 | + | 1.03981i | 0.992770 | + | 0.120030i | \(0.0382991\pi\) |
−0.392436 | + | 0.919779i | \(0.628368\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 23.7693 | − | 41.1696i | 0.955368 | − | 1.65475i | 0.221844 | − | 0.975082i | \(-0.428792\pi\) |
0.733524 | − | 0.679664i | \(-0.237874\pi\) | |||||||
\(620\) | −32.2815 | −1.29646 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −22.6554 | −0.908397 | ||||||||
\(623\) | −15.5407 | + | 26.9174i | −0.622627 | + | 1.07842i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 15.7471 | + | 27.2747i | 0.629379 | + | 1.09012i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −18.7444 | + | 32.4663i | −0.747984 | + | 1.29555i | ||||
\(629\) | 2.49000 | 0.0992830 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 32.2213 | 1.28271 | 0.641354 | − | 0.767245i | \(-0.278373\pi\) | ||||
0.641354 | + | 0.767245i | \(0.278373\pi\) | |||||||
\(632\) | −50.5558 | + | 87.5652i | −2.01100 | + | 3.48316i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 22.4015 | + | 38.8006i | 0.889678 | + | 1.54097i | ||||
\(635\) | 6.82064 | + | 11.8137i | 0.270669 | + | 0.468812i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 5.63736 | − | 9.76419i | 0.223360 | − | 0.386871i | ||||
\(638\) | 78.8916 | 3.12335 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −5.38732 | −0.212953 | ||||||||
\(641\) | 1.75107 | − | 3.03295i | 0.0691632 | − | 0.119794i | −0.829370 | − | 0.558700i | \(-0.811300\pi\) |
0.898533 | + | 0.438906i | \(0.144634\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.0115697 | − | 0.0200394i | −0.000456266 | − | 0.000790276i | 0.865797 | − | 0.500395i | \(-0.166812\pi\) |
−0.866253 | + | 0.499605i | \(0.833479\pi\) | |||||||
\(644\) | −54.3984 | − | 94.2207i | −2.14360 | − | 3.71282i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.09186 | + | 3.62320i | −0.0823030 | + | 0.142553i | ||||
\(647\) | 20.8611 | 0.820136 | 0.410068 | − | 0.912055i | \(-0.365505\pi\) | ||||
0.410068 | + | 0.912055i | \(0.365505\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −47.0078 | −1.84522 | ||||||||
\(650\) | 1.29305 | − | 2.23963i | 0.0507177 | − | 0.0878456i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 40.7202 | + | 70.5294i | 1.59472 | + | 2.76214i | ||||
\(653\) | 5.47824 | + | 9.48859i | 0.214380 | + | 0.371317i | 0.953081 | − | 0.302716i | \(-0.0978935\pi\) |
−0.738700 | + | 0.674034i | \(0.764560\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.18118 | − | 7.24202i | 0.163372 | − | 0.282969i | ||||
\(656\) | 35.0422 | 1.36817 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.48831 | −0.174973 | ||||||||
\(659\) | −17.0546 | + | 29.5395i | −0.664354 | + | 1.15070i | 0.315106 | + | 0.949057i | \(0.397960\pi\) |
−0.979460 | + | 0.201639i | \(0.935373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.0901 | + | 20.9406i | 0.470249 | + | 0.814495i | 0.999421 | − | 0.0340194i | \(-0.0108308\pi\) |
−0.529172 | + | 0.848514i | \(0.677497\pi\) | |||||||
\(662\) | −3.18186 | − | 5.51115i | −0.123667 | − | 0.214197i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −10.5699 | + | 18.3076i | −0.410191 | + | 0.710471i | ||||
\(665\) | 11.1698 | 0.433145 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 37.7726 | 1.46256 | ||||||||
\(668\) | 10.0226 | − | 17.3596i | 0.387784 | − | 0.671662i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −18.8241 | − | 32.6043i | −0.727238 | − | 1.25961i | ||||
\(671\) | 11.1194 | + | 19.2593i | 0.429259 | + | 0.743498i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.66073 | + | 16.7329i | −0.372394 | + | 0.645005i | −0.989933 | − | 0.141535i | \(-0.954796\pi\) |
0.617539 | + | 0.786540i | \(0.288130\pi\) | |||||||
\(674\) | 53.6579 | 2.06683 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.68793 | 0.180305 | ||||||||
\(677\) | −19.1367 | + | 33.1457i | −0.735483 | + | 1.27389i | 0.219028 | + | 0.975718i | \(0.429711\pi\) |
−0.954511 | + | 0.298175i | \(0.903622\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −20.5938 | − | 35.6695i | −0.790316 | − | 1.36887i | ||||
\(680\) | 2.15195 | + | 3.72728i | 0.0825234 | + | 0.142935i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −39.0396 | + | 67.6185i | −1.49490 | + | 2.58925i | ||||
\(683\) | −0.692198 | −0.0264862 | −0.0132431 | − | 0.999912i | \(-0.504216\pi\) | ||||
−0.0132431 | + | 0.999912i | \(0.504216\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.75088 | 0.257938 | ||||||||
\(686\) | 23.6292 | − | 40.9269i | 0.902165 | − | 1.56260i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 43.1630 | + | 74.7605i | 1.64557 | + | 2.85022i | ||||
\(689\) | 4.35603 | + | 7.54486i | 0.165951 | + | 0.287436i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.4956 | − | 28.5711i | 0.627520 | − | 1.08690i | −0.360527 | − | 0.932749i | \(-0.617403\pi\) |
0.988048 | − | 0.154148i | \(-0.0492634\pi\) | |||||||
\(692\) | −60.7363 | −2.30885 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 32.5530 | 1.23569 | ||||||||
\(695\) | −1.75288 | + | 3.03608i | −0.0664907 | + | 0.115165i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.26130 | + | 2.18463i | 0.0477750 | + | 0.0827487i | ||||
\(698\) | 25.8259 | + | 44.7318i | 0.977526 | + | 1.69312i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 10.0202 | − | 17.3555i | 0.378728 | − | 0.655977i | ||||
\(701\) | 18.7776 | 0.709219 | 0.354610 | − | 0.935014i | \(-0.384614\pi\) | ||||
0.354610 | + | 0.935014i | \(0.384614\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.5081 | 0.396319 | ||||||||
\(704\) | 9.57303 | − | 16.5810i | 0.360797 | − | 0.624919i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 7.61522 | + | 13.1899i | 0.286603 | + | 0.496410i | ||||
\(707\) | −16.6711 | − | 28.8751i | −0.626980 | − | 1.08596i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.04721 | + | 7.00997i | −0.151996 | + | 0.263265i | −0.931961 | − | 0.362558i | \(-0.881903\pi\) |
0.779965 | + | 0.625823i | \(0.215237\pi\) | |||||||
\(710\) | −17.0042 | −0.638157 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −50.5407 | −1.89409 | ||||||||
\(713\) | −18.6918 | + | 32.3752i | −0.700014 | + | 1.21246i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.19223 | − | 3.79706i | −0.0819848 | − | 0.142002i | ||||
\(716\) | 44.1909 | + | 76.5409i | 1.65149 | + | 2.86047i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 23.0595 | − | 39.9402i | 0.860572 | − | 1.49055i | ||||
\(719\) | −31.8467 | −1.18768 | −0.593840 | − | 0.804583i | \(-0.702389\pi\) | ||||
−0.593840 | + | 0.804583i | \(0.702389\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.24600 | −0.158129 | ||||||||
\(722\) | 15.7402 | − | 27.2627i | 0.585788 | − | 1.01461i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 49.8312 | + | 86.3101i | 1.85196 | + | 3.20769i | ||||
\(725\) | 3.47887 | + | 6.02558i | 0.129202 | + | 0.223784i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1546 | − | 17.5883i | 0.376613 | − | 0.652313i | −0.613954 | − | 0.789342i | \(-0.710422\pi\) |
0.990567 | + | 0.137029i | \(0.0437552\pi\) | |||||||
\(728\) | 29.7160 | 1.10135 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 43.2689 | 1.60145 | ||||||||
\(731\) | −3.10718 | + | 5.38180i | −0.114923 | + | 0.199053i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.15966 | + | 12.4009i | 0.264448 | + | 0.458037i | 0.967419 | − | 0.253181i | \(-0.0814769\pi\) |
−0.702971 | + | 0.711219i | \(0.748144\pi\) | |||||||
\(734\) | 38.5755 | + | 66.8147i | 1.42385 | + | 2.46618i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.6388 | − | 39.2115i | 0.834477 | − | 1.44536i | ||||
\(737\) | −63.8285 | −2.35115 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −32.7316 | −1.20405 | −0.602025 | − | 0.798477i | \(-0.705639\pi\) | ||||
−0.602025 | + | 0.798477i | \(0.705639\pi\) | |||||||
\(740\) | 9.42660 | − | 16.3273i | 0.346529 | − | 0.600205i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 48.1573 | + | 83.4108i | 1.76791 | + | 3.06211i | ||||
\(743\) | 19.4753 | + | 33.7323i | 0.714481 | + | 1.23752i | 0.963159 | + | 0.268931i | \(0.0866705\pi\) |
−0.248678 | + | 0.968586i | \(0.579996\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.13951 | − | 10.6339i | 0.224934 | − | 0.389597i | ||||
\(746\) | −37.7038 | −1.38044 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.7261 | 0.465312 | ||||||||
\(749\) | −9.06644 | + | 15.7035i | −0.331280 | + | 0.573795i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.5075 | + | 19.9316i | 0.419916 | + | 0.727316i | 0.995931 | − | 0.0901237i | \(-0.0287263\pi\) |
−0.576015 | + | 0.817439i | \(0.695393\pi\) | |||||||
\(752\) | −1.74592 | − | 3.02401i | −0.0636670 | − | 0.110274i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.99672 | + | 15.5828i | −0.327641 | + | 0.567491i | ||||
\(755\) | −16.6964 | −0.607645 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 41.6474 | 1.51370 | 0.756850 | − | 0.653588i | \(-0.226737\pi\) | ||||
0.756850 | + | 0.653588i | \(0.226737\pi\) | |||||||
\(758\) | −26.7723 | + | 46.3710i | −0.972415 | + | 1.68427i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 9.08142 | + | 15.7295i | 0.329418 | + | 0.570568i | ||||
\(761\) | 3.44431 | + | 5.96571i | 0.124856 | + | 0.216257i | 0.921677 | − | 0.387959i | \(-0.126820\pi\) |
−0.796821 | + | 0.604216i | \(0.793486\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.0940 | − | 17.4834i | 0.365428 | − | 0.632940i | ||||
\(764\) | 72.2738 | 2.61477 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 66.1176 | 2.38893 | ||||||||
\(767\) | 5.36073 | − | 9.28505i | 0.193565 | − | 0.335264i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.78387 | + | 8.28591i | 0.172511 | + | 0.298797i | 0.939297 | − | 0.343105i | \(-0.111479\pi\) |
−0.766786 | + | 0.641903i | \(0.778145\pi\) | |||||||
\(770\) | −24.2358 | − | 41.9777i | −0.873399 | − | 1.51277i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.42545 | + | 7.66510i | −0.159275 | + | 0.275873i | ||||
\(773\) | 10.5131 | 0.378131 | 0.189066 | − | 0.981964i | \(-0.439454\pi\) | ||||
0.189066 | + | 0.981964i | \(0.439454\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.88609 | −0.247356 | ||||||||
\(776\) | 33.4869 | − | 58.0010i | 1.20211 | − | 2.08212i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −22.1505 | − | 38.3658i | −0.794134 | − | 1.37548i | ||||
\(779\) | 5.32279 | + | 9.21934i | 0.190709 | + | 0.330317i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.4144 | + | 24.9665i | −0.515789 | + | 0.893372i | ||||
\(782\) | 8.69264 | 0.310848 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 96.9722 | 3.46329 | ||||||||
\(785\) | −3.99844 | + | 6.92550i | −0.142710 | + | 0.247182i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 18.0600 | + | 31.2808i | 0.643769 | + | 1.11504i | 0.984584 | + | 0.174910i | \(0.0559634\pi\) |
−0.340816 | + | 0.940130i | \(0.610703\pi\) | |||||||
\(788\) | −25.4548 | − | 44.0891i | −0.906791 | − | 1.57061i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −18.8084 | + | 32.5771i | −0.669174 | + | 1.15904i | ||||
\(791\) | −15.1933 | −0.540211 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.07217 | −0.180118 | ||||||||
\(794\) | 20.4738 | − | 35.4616i | 0.726586 | − | 1.25848i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.81533 | + | 4.87630i | 0.0997869 | + | 0.172836i | ||||
\(797\) | −7.37462 | − | 12.7732i | −0.261223 | − | 0.452451i | 0.705344 | − | 0.708865i | \(-0.250792\pi\) |
−0.966567 | + | 0.256414i | \(0.917459\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.125684 | − | 0.217690i | 0.00444636 | − | 0.00770133i | ||||
\(800\) | 8.34015 | 0.294869 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 88.2140 | 3.11495 | ||||||||
\(803\) | 36.6789 | − | 63.5297i | 1.29437 | − | 2.24192i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.6039 | − | 20.0986i | −0.408984 | − | 0.708381i | ||||
\(806\) | −8.90407 | − | 15.4223i | −0.313633 | − | 0.543227i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 27.1083 | − | 46.9530i | 0.953667 | − | 1.65180i | ||||
\(809\) | −1.81657 | −0.0638672 | −0.0319336 | − | 0.999490i | \(-0.510167\pi\) | ||||
−0.0319336 | + | 0.999490i | \(0.510167\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.3279 | −1.17030 | −0.585151 | − | 0.810924i | \(-0.698965\pi\) | ||||
−0.585151 | + | 0.810924i | \(0.698965\pi\) | |||||||
\(812\) | −69.7180 | + | 120.755i | −2.44662 | + | 4.23767i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −22.8001 | − | 39.4909i | −0.799142 | − | 1.38415i | ||||
\(815\) | 8.68616 | + | 15.0449i | 0.304263 | + | 0.526999i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.1126 | + | 22.7117i | −0.458752 | + | 0.794581i | ||||
\(818\) | −49.5117 | −1.73113 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 19.0999 | 0.666998 | ||||||||
\(821\) | 17.7439 | − | 30.7333i | 0.619266 | − | 1.07260i | −0.370354 | − | 0.928891i | \(-0.620764\pi\) |
0.989620 | − | 0.143709i | \(-0.0459030\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.28999 | + | 14.3587i | 0.288971 | + | 0.500512i | 0.973564 | − | 0.228413i | \(-0.0733536\pi\) |
−0.684594 | + | 0.728925i | \(0.740020\pi\) | |||||||
\(824\) | −3.45215 | − | 5.97929i | −0.120261 | − | 0.208299i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 59.2645 | − | 102.649i | 2.06208 | − | 3.57162i | ||||
\(827\) | −8.93071 | −0.310551 | −0.155276 | − | 0.987871i | \(-0.549627\pi\) | ||||
−0.155276 | + | 0.987871i | \(0.549627\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.9059 | 0.448240 | 0.224120 | − | 0.974562i | \(-0.428049\pi\) | ||||
0.224120 | + | 0.974562i | \(0.428049\pi\) | |||||||
\(830\) | −3.93234 | + | 6.81102i | −0.136494 | + | 0.236414i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.18340 | + | 3.78175i | 0.0756957 | + | 0.131109i | ||||
\(833\) | 3.49038 | + | 6.04551i | 0.120934 | + | 0.209464i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.13795 | − | 3.70303i | 0.0739867 | − | 0.128149i | ||||
\(836\) | 53.7053 | 1.85744 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −18.4518 | −0.637408 | ||||||||
\(839\) | 17.4959 | − | 30.3039i | 0.604027 | − | 1.04621i | −0.388178 | − | 0.921585i | \(-0.626895\pi\) |
0.992204 | − | 0.124621i | \(-0.0397714\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.70506 | − | 16.8097i | −0.334657 | − | 0.579644i | ||||
\(842\) | 33.8286 | + | 58.5928i | 1.16581 | + | 2.01924i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.551328 | − | 0.954929i | 0.0189775 | − | 0.0328700i | ||||
\(845\) | 1.00000 | 0.0344010 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −35.1547 | −1.20793 | ||||||||
\(848\) | −37.4656 | + | 64.8922i | −1.28657 | + | 2.22841i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.800595 | + | 1.38667i | 0.0274602 | + | 0.0475624i | ||||
\(851\) | −10.9165 | − | 18.9079i | −0.374212 | − | 0.648154i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.5784 | − | 18.3223i | 0.362198 | − | 0.627345i | −0.626125 | − | 0.779723i | \(-0.715360\pi\) |
0.988322 | + | 0.152378i | \(0.0486933\pi\) | |||||||
\(854\) | −56.0745 | −1.91883 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −29.4853 | −1.00779 | ||||||||
\(857\) | −5.81524 | + | 10.0723i | −0.198645 | + | 0.344063i | −0.948089 | − | 0.318004i | \(-0.896987\pi\) |
0.749444 | + | 0.662067i | \(0.230321\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −0.890335 | − | 1.54211i | −0.0303778 | − | 0.0526160i | 0.850437 | − | 0.526077i | \(-0.176338\pi\) |
−0.880815 | + | 0.473461i | \(0.843004\pi\) | |||||||
\(860\) | 23.5262 | + | 40.7485i | 0.802236 | + | 1.38951i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.0611 | + | 27.8186i | −0.547043 | + | 0.947506i | ||||
\(863\) | 7.65256 | 0.260496 | 0.130248 | − | 0.991481i | \(-0.458423\pi\) | ||||
0.130248 | + | 0.991481i | \(0.458423\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.9559 | −0.440513 | ||||||||
\(866\) | 7.81703 | − | 13.5395i | 0.265633 | − | 0.460091i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −69.0000 | − | 119.512i | −2.34201 | − | 4.05649i | ||||
\(869\) | 31.8877 | + | 55.2311i | 1.08172 | + | 1.87359i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.27894 | − | 12.6075i | 0.246637 | − | 0.427188i | ||||
\(872\) | 32.8272 | 1.11167 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 36.6838 | 1.24085 | ||||||||
\(875\) | 2.13745 | − | 3.70217i | 0.0722589 | − | 0.125156i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.39612 | − | 5.88225i | −0.114679 | − | 0.198629i | 0.802973 | − | 0.596016i | \(-0.203251\pi\) |
−0.917651 | + | 0.397387i | \(0.869917\pi\) | |||||||
\(878\) | 37.0801 | + | 64.2246i | 1.25139 | + | 2.16748i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18.8551 | − | 32.6579i | 0.635604 | − | 1.10090i | ||||
\(881\) | −8.06104 | −0.271583 | −0.135792 | − | 0.990737i | \(-0.543358\pi\) | ||||
−0.135792 | + | 0.990737i | \(0.543358\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.7753 | 0.530882 | 0.265441 | − | 0.964127i | \(-0.414482\pi\) | ||||
0.265441 | + | 0.964127i | \(0.414482\pi\) | |||||||
\(884\) | −1.45127 | + | 2.51367i | −0.0488115 | + | 0.0845440i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.8314 | − | 20.4925i | −0.397483 | − | 0.688460i | ||||
\(887\) | −8.88157 | − | 15.3833i | −0.298214 | − | 0.516522i | 0.677513 | − | 0.735510i | \(-0.263058\pi\) |
−0.975727 | + | 0.218989i | \(0.929724\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −29.1575 | + | 50.5023i | −0.977911 | + | 1.69379i | ||||
\(890\) | −18.8028 | −0.630271 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −78.5461 | −2.62992 | ||||||||
\(893\) | 0.530397 | − | 0.918674i | 0.0177490 | − | 0.0307422i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.42652 | + | 16.3272i | 0.315094 | + | 0.545758i | ||||
\(896\) | −11.5151 | − | 19.9448i | −0.384693 | − | 0.666308i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 45.8575 | − | 79.4274i | 1.53028 | − | 2.65053i | ||||
\(899\) | 47.9116 | 1.59794 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.39408 | −0.179703 | ||||||||
\(902\) | 23.0984 | − | 40.0077i | 0.769094 | − | 1.33211i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.3527 | − | 21.3955i | −0.410844 | − | 0.711603i | ||||
\(905\) | 10.6297 | + | 18.4111i | 0.353342 | + | 0.612006i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −24.3180 | + | 42.1199i | −0.807464 | + | 1.39857i | 0.107150 | + | 0.994243i | \(0.465827\pi\) |
−0.914615 | + | 0.404327i | \(0.867506\pi\) | |||||||
\(908\) | −106.887 | −3.54715 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 11.0553 | 0.366480 | ||||||||
\(911\) | 9.32994 | − | 16.1599i | 0.309115 | − | 0.535402i | −0.669054 | − | 0.743214i | \(-0.733301\pi\) |
0.978169 | + | 0.207811i | \(0.0666340\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.66687 | + | 11.5474i | 0.220641 | + | 0.382162i | ||||
\(914\) | −12.1710 | − | 21.0808i | −0.402581 | − | 0.697290i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.3486 | − | 28.3167i | 0.540174 | − | 0.935609i | ||||
\(917\) | 35.7482 | 1.18051 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.8812 | −0.457898 | −0.228949 | − | 0.973438i | \(-0.573529\pi\) | ||||
−0.228949 | + | 0.973438i | \(0.573529\pi\) | |||||||
\(920\) | 18.8688 | − | 32.6817i | 0.622085 | − | 1.07748i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −26.5109 | − | 45.9182i | −0.873089 | − | 1.51223i | ||||
\(923\) | −3.28761 | − | 5.69431i | −0.108213 | − | 0.187431i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.01082 | − | 3.48284i | 0.0661154 | − | 0.114515i | ||||
\(926\) | −97.7111 | −3.21099 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −58.0286 | −1.90488 | ||||||||
\(929\) | 8.83587 | − | 15.3042i | 0.289895 | − | 0.502114i | −0.683889 | − | 0.729586i | \(-0.739713\pi\) |
0.973785 | + | 0.227472i | \(0.0730461\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.7297 | + | 25.5126i | 0.482747 | + | 0.836143i | ||||
\(932\) | −20.2331 | − | 35.0448i | −0.662758 | − | 1.14793i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −16.6651 | + | 28.8648i | −0.545299 | + | 0.944485i | ||||
\(935\) | 2.71465 | 0.0887784 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.4041 | 1.09126 | 0.545632 | − | 0.838025i | \(-0.316290\pi\) | ||||
0.545632 | + | 0.838025i | \(0.316290\pi\) | |||||||
\(938\) | 80.4710 | − | 139.380i | 2.62747 | − | 4.55091i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.951619 | − | 1.64825i | −0.0310384 | − | 0.0537601i | ||||
\(941\) | −28.9473 | − | 50.1383i | −0.943656 | − | 1.63446i | −0.758420 | − | 0.651766i | \(-0.774028\pi\) |
−0.185236 | − | 0.982694i | \(-0.559305\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.0593 | − | 19.1553i | 0.360142 | − | 0.623784i | ||||
\(944\) | 92.2136 | 3.00130 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 113.805 | 3.70013 | ||||||||
\(947\) | −27.3142 | + | 47.3096i | −0.887593 | + | 1.53736i | −0.0448808 | + | 0.998992i | \(0.514291\pi\) |
−0.842712 | + | 0.538364i | \(0.819043\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 8.36565 | + | 14.4897i | 0.271561 | + | 0.470357i | ||||
\(950\) | 3.37859 | + | 5.85188i | 0.109616 | + | 0.189860i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.19934 | + | 15.9337i | −0.298152 | + | 0.516415i | ||||
\(953\) | −19.7207 | −0.638815 | −0.319407 | − | 0.947618i | \(-0.603484\pi\) | ||||
−0.319407 | + | 0.947618i | \(0.603484\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.4170 | 0.498882 | ||||||||
\(956\) | −7.19834 | + | 12.4679i | −0.232811 | + | 0.403240i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 26.1042 | + | 45.2138i | 0.843388 | + | 1.46079i | ||||
\(959\) | 14.4296 | + | 24.9929i | 0.465958 | + | 0.807062i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.20911 | + | 14.2186i | −0.264810 | + | 0.458665i | ||||
\(962\) | 10.4004 | 0.335322 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 27.3432 | 0.880665 | ||||||||
\(965\) | −0.944008 | + | 1.63507i | −0.0303887 | + | 0.0526347i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.6087 | + | 30.4992i | 0.566259 | + | 0.980790i | 0.996931 | + | 0.0782812i | \(0.0249432\pi\) |
−0.430672 | + | 0.902508i | \(0.641723\pi\) | |||||||
\(968\) | −28.5820 | − | 49.5055i | −0.918661 | − | 1.59117i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 12.4582 | − | 21.5783i | 0.400010 | − | 0.692837i | ||||
\(971\) | 13.9711 | 0.448354 | 0.224177 | − | 0.974548i | \(-0.428031\pi\) | ||||
0.224177 | + | 0.974548i | \(0.428031\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.9868 | −0.480454 | ||||||||
\(974\) | −19.5872 | + | 33.9260i | −0.627614 | + | 1.08706i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −21.8125 | − | 37.7804i | −0.698201 | − | 1.20932i | ||||
\(977\) | 18.2453 | + | 31.6017i | 0.583718 | + | 1.01103i | 0.995034 | + | 0.0995362i | \(0.0317359\pi\) |
−0.411316 | + | 0.911493i | \(0.634931\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.9391 | + | 27.6073i | −0.509415 | + | 0.882333i | ||||
\(980\) | 52.8551 | 1.68839 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 29.7078 | 0.948015 | ||||||||
\(983\) | −8.75026 | + | 15.1559i | −0.279090 | + | 0.483398i | −0.971159 | − | 0.238433i | \(-0.923366\pi\) |
0.692069 | + | 0.721832i | \(0.256699\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.42986 | − | 9.40480i | −0.173010 | − | 0.299662i | ||||
\(986\) | −5.57033 | − | 9.64809i | −0.177395 | − | 0.307258i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.12450 | + | 10.6079i | −0.194846 | + | 0.337484i | ||||
\(989\) | 54.4890 | 1.73265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 18.8114 | 0.597565 | 0.298783 | − | 0.954321i | \(-0.403419\pi\) | ||||
0.298783 | + | 0.954321i | \(0.403419\pi\) | |||||||
\(992\) | 28.7155 | − | 49.7367i | 0.911719 | − | 1.57914i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −36.3456 | − | 62.9525i | −1.15281 | − | 1.99673i | ||||
\(995\) | 0.600549 | + | 1.04018i | 0.0190387 | + | 0.0329760i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.76712 | + | 3.06074i | −0.0559651 | + | 0.0969345i | −0.892651 | − | 0.450749i | \(-0.851157\pi\) |
0.836686 | + | 0.547684i | \(0.184490\pi\) | |||||||
\(998\) | −33.9299 | −1.07403 | ||||||||
\(999\) | 0 | 0 |
(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 | 1755.2.i.f.586.1 | 16 | ||
3.2 | odd | 2 | 585.2.i.e.196.8 | ✓ | 16 | ||
9.2 | odd | 6 | 5265.2.a.bf.1.1 | 8 | |||
9.4 | even | 3 | inner | 1755.2.i.f.1171.1 | 16 | ||
9.5 | odd | 6 | 585.2.i.e.391.8 | yes | 16 | ||
9.7 | even | 3 | 5265.2.a.ba.1.8 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.i.e.196.8 | ✓ | 16 | 3.2 | odd | 2 | ||
585.2.i.e.391.8 | yes | 16 | 9.5 | odd | 6 | ||
1755.2.i.f.586.1 | 16 | 1.1 | even | 1 | trivial | ||
1755.2.i.f.1171.1 | 16 | 9.4 | even | 3 | inner | ||
5265.2.a.ba.1.8 | 8 | 9.7 | even | 3 | |||
5265.2.a.bf.1.1 | 8 | 9.2 | odd | 6 |