Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(71,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.71");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.e (of order \(2\), degree \(1\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 34 x^{14} - 80 x^{13} + 97 x^{12} - 80 x^{11} + 498 x^{10} - 3288 x^{9} + \cdots + 43046721 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 71.3 | ||
Root | \(1.86110 - 2.35293i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.71 |
Dual form | 210.3.e.a.71.11 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.41421i | − | 0.707107i | ||||||
\(3\) | −1.86110 | + | 2.35293i | −0.620368 | + | 0.784311i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | − | 2.23607i | − | 0.447214i | ||||||
\(6\) | 3.32755 | + | 2.63200i | 0.554592 | + | 0.438666i | ||||
\(7\) | 2.64575 | 0.377964 | ||||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −2.07259 | − | 8.75810i | −0.230287 | − | 0.973123i | ||||
\(10\) | −3.16228 | −0.316228 | ||||||||
\(11\) | 19.0319i | 1.73018i | 0.501620 | + | 0.865088i | \(0.332737\pi\) | ||||
−0.501620 | + | 0.865088i | \(0.667263\pi\) | |||||||
\(12\) | 3.72221 | − | 4.70587i | 0.310184 | − | 0.392155i | ||||
\(13\) | −1.55479 | −0.119599 | −0.0597995 | − | 0.998210i | \(-0.519046\pi\) | ||||
−0.0597995 | + | 0.998210i | \(0.519046\pi\) | |||||||
\(14\) | − | 3.74166i | − | 0.267261i | ||||||
\(15\) | 5.26132 | + | 4.16155i | 0.350755 | + | 0.277437i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 28.9019i | 1.70011i | 0.526692 | + | 0.850056i | \(0.323432\pi\) | ||||
−0.526692 | + | 0.850056i | \(0.676568\pi\) | |||||||
\(18\) | −12.3858 | + | 2.93108i | −0.688102 | + | 0.162838i | ||||
\(19\) | 23.3574 | 1.22934 | 0.614669 | − | 0.788785i | \(-0.289289\pi\) | ||||
0.614669 | + | 0.788785i | \(0.289289\pi\) | |||||||
\(20\) | 4.47214i | 0.223607i | ||||||||
\(21\) | −4.92402 | + | 6.22527i | −0.234477 | + | 0.296442i | ||||
\(22\) | 26.9152 | 1.22342 | ||||||||
\(23\) | 23.7695i | 1.03346i | 0.856150 | + | 0.516728i | \(0.172850\pi\) | ||||
−0.856150 | + | 0.516728i | \(0.827150\pi\) | |||||||
\(24\) | −6.65510 | − | 5.26400i | −0.277296 | − | 0.219333i | ||||
\(25\) | −5.00000 | −0.200000 | ||||||||
\(26\) | 2.19880i | 0.0845693i | ||||||||
\(27\) | 24.4645 | + | 11.4231i | 0.906094 | + | 0.423077i | ||||
\(28\) | −5.29150 | −0.188982 | ||||||||
\(29\) | 18.0074i | 0.620945i | 0.950582 | + | 0.310472i | \(0.100487\pi\) | ||||
−0.950582 | + | 0.310472i | \(0.899513\pi\) | |||||||
\(30\) | 5.88533 | − | 7.44063i | 0.196178 | − | 0.248021i | ||||
\(31\) | 7.88473 | 0.254346 | 0.127173 | − | 0.991881i | \(-0.459410\pi\) | ||||
0.127173 | + | 0.991881i | \(0.459410\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | −44.7809 | − | 35.4204i | −1.35700 | − | 1.07335i | ||||
\(34\) | 40.8735 | 1.20216 | ||||||||
\(35\) | − | 5.91608i | − | 0.169031i | ||||||
\(36\) | 4.14517 | + | 17.5162i | 0.115144 | + | 0.486561i | ||||
\(37\) | −20.5218 | −0.554642 | −0.277321 | − | 0.960777i | \(-0.589447\pi\) | ||||
−0.277321 | + | 0.960777i | \(0.589447\pi\) | |||||||
\(38\) | − | 33.0324i | − | 0.869274i | ||||||
\(39\) | 2.89362 | − | 3.65831i | 0.0741954 | − | 0.0938028i | ||||
\(40\) | 6.32456 | 0.158114 | ||||||||
\(41\) | − | 50.8988i | − | 1.24143i | −0.784034 | − | 0.620717i | \(-0.786841\pi\) | ||
0.784034 | − | 0.620717i | \(-0.213159\pi\) | |||||||
\(42\) | 8.80387 | + | 6.96361i | 0.209616 | + | 0.165800i | ||||
\(43\) | −31.2503 | −0.726752 | −0.363376 | − | 0.931643i | \(-0.618376\pi\) | ||||
−0.363376 | + | 0.931643i | \(0.618376\pi\) | |||||||
\(44\) | − | 38.0639i | − | 0.865088i | ||||||
\(45\) | −19.5837 | + | 4.63444i | −0.435194 | + | 0.102988i | ||||
\(46\) | 33.6151 | 0.730763 | ||||||||
\(47\) | − | 15.7642i | − | 0.335409i | −0.985837 | − | 0.167704i | \(-0.946365\pi\) | ||
0.985837 | − | 0.167704i | \(-0.0536354\pi\) | |||||||
\(48\) | −7.44442 | + | 9.41173i | −0.155092 | + | 0.196078i | ||||
\(49\) | 7.00000 | 0.142857 | ||||||||
\(50\) | 7.07107i | 0.141421i | ||||||||
\(51\) | −68.0043 | − | 53.7895i | −1.33342 | − | 1.05470i | ||||
\(52\) | 3.10957 | 0.0597995 | ||||||||
\(53\) | 78.7951i | 1.48670i | 0.668903 | + | 0.743350i | \(0.266764\pi\) | ||||
−0.668903 | + | 0.743350i | \(0.733236\pi\) | |||||||
\(54\) | 16.1547 | − | 34.5981i | 0.299161 | − | 0.640705i | ||||
\(55\) | 42.5567 | 0.773758 | ||||||||
\(56\) | 7.48331i | 0.133631i | ||||||||
\(57\) | −43.4706 | + | 54.9585i | −0.762642 | + | 0.964184i | ||||
\(58\) | 25.4663 | 0.439074 | ||||||||
\(59\) | − | 89.1948i | − | 1.51178i | −0.654700 | − | 0.755889i | \(-0.727205\pi\) | ||
0.654700 | − | 0.755889i | \(-0.272795\pi\) | |||||||
\(60\) | −10.5226 | − | 8.32311i | −0.175377 | − | 0.138718i | ||||
\(61\) | 56.4152 | 0.924840 | 0.462420 | − | 0.886661i | \(-0.346981\pi\) | ||||
0.462420 | + | 0.886661i | \(0.346981\pi\) | |||||||
\(62\) | − | 11.1507i | − | 0.179850i | ||||||
\(63\) | −5.48355 | − | 23.1718i | −0.0870404 | − | 0.367806i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 3.47661i | 0.0534863i | ||||||||
\(66\) | −50.0920 | + | 63.3297i | −0.758970 | + | 0.959541i | ||||
\(67\) | 56.2048 | 0.838878 | 0.419439 | − | 0.907784i | \(-0.362227\pi\) | ||||
0.419439 | + | 0.907784i | \(0.362227\pi\) | |||||||
\(68\) | − | 57.8038i | − | 0.850056i | ||||||
\(69\) | −55.9280 | − | 44.2375i | −0.810550 | − | 0.641123i | ||||
\(70\) | −8.36660 | −0.119523 | ||||||||
\(71\) | 28.4101i | 0.400143i | 0.979781 | + | 0.200071i | \(0.0641174\pi\) | ||||
−0.979781 | + | 0.200071i | \(0.935883\pi\) | |||||||
\(72\) | 24.7717 | − | 5.86216i | 0.344051 | − | 0.0814188i | ||||
\(73\) | −120.253 | −1.64730 | −0.823648 | − | 0.567102i | \(-0.808065\pi\) | ||||
−0.823648 | + | 0.567102i | \(0.808065\pi\) | |||||||
\(74\) | 29.0222i | 0.392191i | ||||||||
\(75\) | 9.30552 | − | 11.7647i | 0.124074 | − | 0.156862i | ||||
\(76\) | −46.7149 | −0.614669 | ||||||||
\(77\) | 50.3538i | 0.653945i | ||||||||
\(78\) | −5.17363 | − | 4.09220i | −0.0663286 | − | 0.0524641i | ||||
\(79\) | −72.1123 | −0.912814 | −0.456407 | − | 0.889771i | \(-0.650864\pi\) | ||||
−0.456407 | + | 0.889771i | \(0.650864\pi\) | |||||||
\(80\) | − | 8.94427i | − | 0.111803i | ||||||
\(81\) | −72.4088 | + | 36.3038i | −0.893936 | + | 0.448196i | ||||
\(82\) | −71.9818 | −0.877827 | ||||||||
\(83\) | 104.179i | 1.25517i | 0.778547 | + | 0.627587i | \(0.215957\pi\) | ||||
−0.778547 | + | 0.627587i | \(0.784043\pi\) | |||||||
\(84\) | 9.84804 | − | 12.4505i | 0.117239 | − | 0.148221i | ||||
\(85\) | 64.6267 | 0.760314 | ||||||||
\(86\) | 44.1946i | 0.513891i | ||||||||
\(87\) | −42.3702 | − | 33.5136i | −0.487014 | − | 0.385214i | ||||
\(88\) | −53.8304 | −0.611709 | ||||||||
\(89\) | − | 36.3947i | − | 0.408929i | −0.978874 | − | 0.204465i | \(-0.934455\pi\) | ||
0.978874 | − | 0.204465i | \(-0.0655453\pi\) | |||||||
\(90\) | 6.55409 | + | 27.6956i | 0.0728232 | + | 0.307728i | ||||
\(91\) | −4.11358 | −0.0452042 | ||||||||
\(92\) | − | 47.5389i | − | 0.516728i | ||||||
\(93\) | −14.6743 | + | 18.5522i | −0.157788 | + | 0.199486i | ||||
\(94\) | −22.2940 | −0.237170 | ||||||||
\(95\) | − | 52.2288i | − | 0.549777i | ||||||
\(96\) | 13.3102 | + | 10.5280i | 0.138648 | + | 0.109667i | ||||
\(97\) | −57.1642 | −0.589321 | −0.294661 | − | 0.955602i | \(-0.595207\pi\) | ||||
−0.294661 | + | 0.955602i | \(0.595207\pi\) | |||||||
\(98\) | − | 9.89949i | − | 0.101015i | ||||||
\(99\) | 166.684 | − | 39.4453i | 1.68367 | − | 0.398437i | ||||
\(100\) | 10.0000 | 0.100000 | ||||||||
\(101\) | − | 144.925i | − | 1.43490i | −0.696610 | − | 0.717450i | \(-0.745309\pi\) | ||
0.696610 | − | 0.717450i | \(-0.254691\pi\) | |||||||
\(102\) | −76.0698 | + | 96.1726i | −0.745782 | + | 0.942868i | ||||
\(103\) | 173.742 | 1.68681 | 0.843407 | − | 0.537276i | \(-0.180547\pi\) | ||||
0.843407 | + | 0.537276i | \(0.180547\pi\) | |||||||
\(104\) | − | 4.39760i | − | 0.0422846i | ||||||
\(105\) | 13.9201 | + | 11.0104i | 0.132573 | + | 0.104861i | ||||
\(106\) | 111.433 | 1.05126 | ||||||||
\(107\) | − | 93.7622i | − | 0.876282i | −0.898906 | − | 0.438141i | \(-0.855637\pi\) | ||
0.898906 | − | 0.438141i | \(-0.144363\pi\) | |||||||
\(108\) | −48.9291 | − | 22.8462i | −0.453047 | − | 0.211539i | ||||
\(109\) | 196.881 | 1.80625 | 0.903125 | − | 0.429378i | \(-0.141267\pi\) | ||||
0.903125 | + | 0.429378i | \(0.141267\pi\) | |||||||
\(110\) | − | 60.1843i | − | 0.547130i | ||||||
\(111\) | 38.1931 | − | 48.2863i | 0.344082 | − | 0.435012i | ||||
\(112\) | 10.5830 | 0.0944911 | ||||||||
\(113\) | 114.317i | 1.01166i | 0.862634 | + | 0.505829i | \(0.168813\pi\) | ||||
−0.862634 | + | 0.505829i | \(0.831187\pi\) | |||||||
\(114\) | 77.7230 | + | 61.4767i | 0.681781 | + | 0.539270i | ||||
\(115\) | 53.1502 | 0.462175 | ||||||||
\(116\) | − | 36.0148i | − | 0.310472i | ||||||
\(117\) | 3.22243 | + | 13.6170i | 0.0275421 | + | 0.116384i | ||||
\(118\) | −126.141 | −1.06899 | ||||||||
\(119\) | 76.4673i | 0.642582i | ||||||||
\(120\) | −11.7707 | + | 14.8813i | −0.0980888 | + | 0.124010i | ||||
\(121\) | −241.214 | −1.99351 | ||||||||
\(122\) | − | 79.7832i | − | 0.653960i | ||||||
\(123\) | 119.762 | + | 94.7280i | 0.973671 | + | 0.770146i | ||||
\(124\) | −15.7695 | −0.127173 | ||||||||
\(125\) | 11.1803i | 0.0894427i | ||||||||
\(126\) | −32.7698 | + | 7.75490i | −0.260078 | + | 0.0615469i | ||||
\(127\) | 14.2601 | 0.112284 | 0.0561422 | − | 0.998423i | \(-0.482120\pi\) | ||||
0.0561422 | + | 0.998423i | \(0.482120\pi\) | |||||||
\(128\) | 11.3137i | 0.0883883i | ||||||||
\(129\) | 58.1601 | − | 73.5299i | 0.450853 | − | 0.569999i | ||||
\(130\) | 4.91667 | 0.0378205 | ||||||||
\(131\) | 86.1081i | 0.657313i | 0.944449 | + | 0.328657i | \(0.106596\pi\) | ||||
−0.944449 | + | 0.328657i | \(0.893404\pi\) | |||||||
\(132\) | 89.5617 | + | 70.8408i | 0.678498 | + | 0.536673i | ||||
\(133\) | 61.7980 | 0.464646 | ||||||||
\(134\) | − | 79.4856i | − | 0.593176i | ||||||
\(135\) | 25.5428 | − | 54.7043i | 0.189206 | − | 0.405217i | ||||
\(136\) | −81.7470 | −0.601081 | ||||||||
\(137\) | − | 87.4123i | − | 0.638046i | −0.947747 | − | 0.319023i | \(-0.896645\pi\) | ||
0.947747 | − | 0.319023i | \(-0.103355\pi\) | |||||||
\(138\) | −62.5612 | + | 79.0941i | −0.453342 | + | 0.573146i | ||||
\(139\) | 188.559 | 1.35654 | 0.678269 | − | 0.734814i | \(-0.262730\pi\) | ||||
0.678269 | + | 0.734814i | \(0.262730\pi\) | |||||||
\(140\) | 11.8322i | 0.0845154i | ||||||||
\(141\) | 37.0921 | + | 29.3388i | 0.263065 | + | 0.208077i | ||||
\(142\) | 40.1780 | 0.282944 | ||||||||
\(143\) | − | 29.5906i | − | 0.206927i | ||||||
\(144\) | −8.29034 | − | 35.0324i | −0.0575718 | − | 0.243281i | ||||
\(145\) | 40.2658 | 0.277695 | ||||||||
\(146\) | 170.063i | 1.16481i | ||||||||
\(147\) | −13.0277 | + | 16.4705i | −0.0886240 | + | 0.112044i | ||||
\(148\) | 41.0435 | 0.277321 | ||||||||
\(149\) | 120.358i | 0.807775i | 0.914809 | + | 0.403888i | \(0.132341\pi\) | ||||
−0.914809 | + | 0.403888i | \(0.867659\pi\) | |||||||
\(150\) | −16.6377 | − | 13.1600i | −0.110918 | − | 0.0877333i | ||||
\(151\) | −41.6199 | −0.275628 | −0.137814 | − | 0.990458i | \(-0.544008\pi\) | ||||
−0.137814 | + | 0.990458i | \(0.544008\pi\) | |||||||
\(152\) | 66.0648i | 0.434637i | ||||||||
\(153\) | 253.126 | − | 59.9017i | 1.65442 | − | 0.391514i | ||||
\(154\) | 71.2110 | 0.462409 | ||||||||
\(155\) | − | 17.6308i | − | 0.113747i | ||||||
\(156\) | −5.78724 | + | 7.31662i | −0.0370977 | + | 0.0469014i | ||||
\(157\) | −58.4437 | −0.372253 | −0.186126 | − | 0.982526i | \(-0.559593\pi\) | ||||
−0.186126 | + | 0.982526i | \(0.559593\pi\) | |||||||
\(158\) | 101.982i | 0.645457i | ||||||||
\(159\) | −185.400 | − | 146.646i | −1.16604 | − | 0.922301i | ||||
\(160\) | −12.6491 | −0.0790569 | ||||||||
\(161\) | 62.8881i | 0.390609i | ||||||||
\(162\) | 51.3414 | + | 102.401i | 0.316922 | + | 0.632108i | ||||
\(163\) | −79.4862 | −0.487646 | −0.243823 | − | 0.969820i | \(-0.578402\pi\) | ||||
−0.243823 | + | 0.969820i | \(0.578402\pi\) | |||||||
\(164\) | 101.798i | 0.620717i | ||||||||
\(165\) | −79.2024 | + | 100.133i | −0.480015 | + | 0.606867i | ||||
\(166\) | 147.332 | 0.887542 | ||||||||
\(167\) | − | 72.1686i | − | 0.432147i | −0.976377 | − | 0.216074i | \(-0.930675\pi\) | ||
0.976377 | − | 0.216074i | \(-0.0693251\pi\) | |||||||
\(168\) | −17.6077 | − | 13.9272i | −0.104808 | − | 0.0829002i | ||||
\(169\) | −166.583 | −0.985696 | ||||||||
\(170\) | − | 91.3959i | − | 0.537623i | ||||||
\(171\) | −48.4103 | − | 204.567i | −0.283101 | − | 1.19630i | ||||
\(172\) | 62.5006 | 0.363376 | ||||||||
\(173\) | 235.654i | 1.36216i | 0.732209 | + | 0.681080i | \(0.238489\pi\) | ||||
−0.732209 | + | 0.681080i | \(0.761511\pi\) | |||||||
\(174\) | −47.3955 | + | 59.9205i | −0.272388 | + | 0.344371i | ||||
\(175\) | −13.2288 | −0.0755929 | ||||||||
\(176\) | 76.1277i | 0.432544i | ||||||||
\(177\) | 209.869 | + | 166.001i | 1.18570 | + | 0.937858i | ||||
\(178\) | −51.4699 | −0.289157 | ||||||||
\(179\) | − | 132.607i | − | 0.740823i | −0.928868 | − | 0.370411i | \(-0.879217\pi\) | ||
0.928868 | − | 0.370411i | \(-0.120783\pi\) | |||||||
\(180\) | 39.1674 | − | 9.26888i | 0.217597 | − | 0.0514938i | ||||
\(181\) | 47.9269 | 0.264790 | 0.132395 | − | 0.991197i | \(-0.457733\pi\) | ||||
0.132395 | + | 0.991197i | \(0.457733\pi\) | |||||||
\(182\) | 5.81748i | 0.0319642i | ||||||||
\(183\) | −104.995 | + | 132.741i | −0.573741 | + | 0.725362i | ||||
\(184\) | −67.2302 | −0.365382 | ||||||||
\(185\) | 45.8881i | 0.248044i | ||||||||
\(186\) | 26.2368 | + | 20.7526i | 0.141058 | + | 0.111573i | ||||
\(187\) | −550.059 | −2.94149 | ||||||||
\(188\) | 31.5284i | 0.167704i | ||||||||
\(189\) | 64.7271 | + | 30.2226i | 0.342471 | + | 0.159908i | ||||
\(190\) | −73.8627 | −0.388751 | ||||||||
\(191\) | 183.885i | 0.962750i | 0.876515 | + | 0.481375i | \(0.159863\pi\) | ||||
−0.876515 | + | 0.481375i | \(0.840137\pi\) | |||||||
\(192\) | 14.8888 | − | 18.8235i | 0.0775460 | − | 0.0980389i | ||||
\(193\) | 107.757 | 0.558325 | 0.279162 | − | 0.960244i | \(-0.409943\pi\) | ||||
0.279162 | + | 0.960244i | \(0.409943\pi\) | |||||||
\(194\) | 80.8423i | 0.416713i | ||||||||
\(195\) | −8.18023 | − | 6.47033i | −0.0419499 | − | 0.0331812i | ||||
\(196\) | −14.0000 | −0.0714286 | ||||||||
\(197\) | − | 297.246i | − | 1.50886i | −0.656378 | − | 0.754432i | \(-0.727912\pi\) | ||
0.656378 | − | 0.754432i | \(-0.272088\pi\) | |||||||
\(198\) | −55.7841 | − | 235.726i | −0.281738 | − | 1.19054i | ||||
\(199\) | 246.886 | 1.24064 | 0.620318 | − | 0.784351i | \(-0.287004\pi\) | ||||
0.620318 | + | 0.784351i | \(0.287004\pi\) | |||||||
\(200\) | − | 14.1421i | − | 0.0707107i | ||||||
\(201\) | −104.603 | + | 132.246i | −0.520413 | + | 0.657941i | ||||
\(202\) | −204.955 | −1.01463 | ||||||||
\(203\) | 47.6431i | 0.234695i | ||||||||
\(204\) | 136.009 | + | 107.579i | 0.666709 | + | 0.527348i | ||||
\(205\) | −113.813 | −0.555187 | ||||||||
\(206\) | − | 245.708i | − | 1.19276i | ||||||
\(207\) | 208.176 | − | 49.2643i | 1.00568 | − | 0.237992i | ||||
\(208\) | −6.21915 | −0.0298997 | ||||||||
\(209\) | 444.537i | 2.12697i | ||||||||
\(210\) | 15.5711 | − | 19.6860i | 0.0741482 | − | 0.0937431i | ||||
\(211\) | 292.191 | 1.38479 | 0.692396 | − | 0.721517i | \(-0.256555\pi\) | ||||
0.692396 | + | 0.721517i | \(0.256555\pi\) | |||||||
\(212\) | − | 157.590i | − | 0.743350i | ||||||
\(213\) | −66.8471 | − | 52.8742i | −0.313836 | − | 0.248236i | ||||
\(214\) | −132.600 | −0.619625 | ||||||||
\(215\) | 69.8778i | 0.325013i | ||||||||
\(216\) | −32.3094 | + | 69.1961i | −0.149580 | + | 0.320352i | ||||
\(217\) | 20.8610 | 0.0961338 | ||||||||
\(218\) | − | 278.432i | − | 1.27721i | ||||||
\(219\) | 223.802 | − | 282.946i | 1.02193 | − | 1.29199i | ||||
\(220\) | −85.1134 | −0.386879 | ||||||||
\(221\) | − | 44.9363i | − | 0.203332i | ||||||
\(222\) | −68.2872 | − | 54.0133i | −0.307600 | − | 0.243303i | ||||
\(223\) | −226.770 | −1.01691 | −0.508453 | − | 0.861090i | \(-0.669782\pi\) | ||||
−0.508453 | + | 0.861090i | \(0.669782\pi\) | |||||||
\(224\) | − | 14.9666i | − | 0.0668153i | ||||||
\(225\) | 10.3629 | + | 43.7905i | 0.0460575 | + | 0.194625i | ||||
\(226\) | 161.669 | 0.715350 | ||||||||
\(227\) | − | 293.354i | − | 1.29231i | −0.763206 | − | 0.646155i | \(-0.776376\pi\) | ||
0.763206 | − | 0.646155i | \(-0.223624\pi\) | |||||||
\(228\) | 86.9412 | − | 109.917i | 0.381321 | − | 0.482092i | ||||
\(229\) | −183.861 | −0.802889 | −0.401444 | − | 0.915883i | \(-0.631492\pi\) | ||||
−0.401444 | + | 0.915883i | \(0.631492\pi\) | |||||||
\(230\) | − | 75.1657i | − | 0.326807i | ||||||
\(231\) | −118.479 | − | 93.7136i | −0.512896 | − | 0.405686i | ||||
\(232\) | −50.9326 | −0.219537 | ||||||||
\(233\) | − | 338.163i | − | 1.45134i | −0.688042 | − | 0.725671i | \(-0.741530\pi\) | ||
0.688042 | − | 0.725671i | \(-0.258470\pi\) | |||||||
\(234\) | 19.2573 | − | 4.55720i | 0.0822963 | − | 0.0194752i | ||||
\(235\) | −35.2499 | −0.149999 | ||||||||
\(236\) | 178.390i | 0.755889i | ||||||||
\(237\) | 134.208 | − | 169.675i | 0.566280 | − | 0.715930i | ||||
\(238\) | 108.141 | 0.454374 | ||||||||
\(239\) | 295.300i | 1.23557i | 0.786349 | + | 0.617783i | \(0.211969\pi\) | ||||
−0.786349 | + | 0.617783i | \(0.788031\pi\) | |||||||
\(240\) | 21.0453 | + | 16.6462i | 0.0876886 | + | 0.0693592i | ||||
\(241\) | −224.922 | −0.933286 | −0.466643 | − | 0.884446i | \(-0.654537\pi\) | ||||
−0.466643 | + | 0.884446i | \(0.654537\pi\) | |||||||
\(242\) | 341.129i | 1.40962i | ||||||||
\(243\) | 49.3398 | − | 237.938i | 0.203044 | − | 0.979170i | ||||
\(244\) | −112.830 | −0.462420 | ||||||||
\(245\) | − | 15.6525i | − | 0.0638877i | ||||||
\(246\) | 133.966 | − | 169.368i | 0.544576 | − | 0.688489i | ||||
\(247\) | −36.3158 | −0.147028 | ||||||||
\(248\) | 22.3014i | 0.0899250i | ||||||||
\(249\) | −245.127 | − | 193.889i | −0.984446 | − | 0.778670i | ||||
\(250\) | 15.8114 | 0.0632456 | ||||||||
\(251\) | − | 26.3337i | − | 0.104915i | −0.998623 | − | 0.0524575i | \(-0.983295\pi\) | ||
0.998623 | − | 0.0524575i | \(-0.0167054\pi\) | |||||||
\(252\) | 10.9671 | + | 46.3435i | 0.0435202 | + | 0.183903i | ||||
\(253\) | −452.379 | −1.78806 | ||||||||
\(254\) | − | 20.1668i | − | 0.0793970i | ||||||
\(255\) | −120.277 | + | 152.062i | −0.471674 | + | 0.596322i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | − | 129.147i | − | 0.502518i | −0.967920 | − | 0.251259i | \(-0.919155\pi\) | ||
0.967920 | − | 0.251259i | \(-0.0808447\pi\) | |||||||
\(258\) | −103.987 | − | 82.2508i | −0.403050 | − | 0.318801i | ||||
\(259\) | −54.2955 | −0.209635 | ||||||||
\(260\) | − | 6.95322i | − | 0.0267431i | ||||||
\(261\) | 157.711 | − | 37.3219i | 0.604256 | − | 0.142996i | ||||
\(262\) | 121.775 | 0.464791 | ||||||||
\(263\) | 234.149i | 0.890301i | 0.895456 | + | 0.445150i | \(0.146850\pi\) | ||||
−0.895456 | + | 0.445150i | \(0.853150\pi\) | |||||||
\(264\) | 100.184 | − | 126.659i | 0.379485 | − | 0.479770i | ||||
\(265\) | 176.191 | 0.664873 | ||||||||
\(266\) | − | 87.3955i | − | 0.328555i | ||||||
\(267\) | 85.6343 | + | 67.7343i | 0.320728 | + | 0.253686i | ||||
\(268\) | −112.410 | −0.419439 | ||||||||
\(269\) | 109.020i | 0.405280i | 0.979253 | + | 0.202640i | \(0.0649522\pi\) | ||||
−0.979253 | + | 0.202640i | \(0.935048\pi\) | |||||||
\(270\) | −77.3636 | − | 36.1230i | −0.286532 | − | 0.133789i | ||||
\(271\) | 204.213 | 0.753554 | 0.376777 | − | 0.926304i | \(-0.377032\pi\) | ||||
0.376777 | + | 0.926304i | \(0.377032\pi\) | |||||||
\(272\) | 115.608i | 0.425028i | ||||||||
\(273\) | 7.65580 | − | 9.67898i | 0.0280432 | − | 0.0354541i | ||||
\(274\) | −123.620 | −0.451167 | ||||||||
\(275\) | − | 95.1597i | − | 0.346035i | ||||||
\(276\) | 111.856 | + | 88.4749i | 0.405275 | + | 0.320561i | ||||
\(277\) | 343.561 | 1.24029 | 0.620146 | − | 0.784486i | \(-0.287073\pi\) | ||||
0.620146 | + | 0.784486i | \(0.287073\pi\) | |||||||
\(278\) | − | 266.662i | − | 0.959217i | ||||||
\(279\) | −16.3418 | − | 69.0553i | −0.0585727 | − | 0.247510i | ||||
\(280\) | 16.7332 | 0.0597614 | ||||||||
\(281\) | − | 402.006i | − | 1.43063i | −0.698804 | − | 0.715313i | \(-0.746284\pi\) | ||
0.698804 | − | 0.715313i | \(-0.253716\pi\) | |||||||
\(282\) | 41.4914 | − | 52.4562i | 0.147133 | − | 0.186015i | ||||
\(283\) | 290.257 | 1.02564 | 0.512821 | − | 0.858496i | \(-0.328601\pi\) | ||||
0.512821 | + | 0.858496i | \(0.328601\pi\) | |||||||
\(284\) | − | 56.8203i | − | 0.200071i | ||||||
\(285\) | 122.891 | + | 97.2032i | 0.431196 | + | 0.341064i | ||||
\(286\) | −41.8474 | −0.146320 | ||||||||
\(287\) | − | 134.666i | − | 0.469218i | ||||||
\(288\) | −49.5433 | + | 11.7243i | −0.172025 | + | 0.0407094i | ||||
\(289\) | −546.321 | −1.89038 | ||||||||
\(290\) | − | 56.9444i | − | 0.196360i | ||||||
\(291\) | 106.388 | − | 134.503i | 0.365596 | − | 0.462211i | ||||
\(292\) | 240.505 | 0.823648 | ||||||||
\(293\) | − | 443.480i | − | 1.51358i | −0.653655 | − | 0.756792i | \(-0.726765\pi\) | ||
0.653655 | − | 0.756792i | \(-0.273235\pi\) | |||||||
\(294\) | 23.2928 | + | 18.4240i | 0.0792274 | + | 0.0626666i | ||||
\(295\) | −199.446 | −0.676087 | ||||||||
\(296\) | − | 58.0443i | − | 0.196096i | ||||||
\(297\) | −217.403 | + | 465.607i | −0.731998 | + | 1.56770i | ||||
\(298\) | 170.213 | 0.571183 | ||||||||
\(299\) | − | 36.9565i | − | 0.123600i | ||||||
\(300\) | −18.6110 | + | 23.5293i | −0.0620368 | + | 0.0784311i | ||||
\(301\) | −82.6806 | −0.274686 | ||||||||
\(302\) | 58.8594i | 0.194899i | ||||||||
\(303\) | 340.999 | + | 269.720i | 1.12541 | + | 0.890166i | ||||
\(304\) | 93.4297 | 0.307335 | ||||||||
\(305\) | − | 126.148i | − | 0.413601i | ||||||
\(306\) | −84.7138 | − | 357.974i | −0.276842 | − | 1.16985i | ||||
\(307\) | 37.5506 | 0.122315 | 0.0611574 | − | 0.998128i | \(-0.480521\pi\) | ||||
0.0611574 | + | 0.998128i | \(0.480521\pi\) | |||||||
\(308\) | − | 100.708i | − | 0.326972i | ||||||
\(309\) | −323.351 | + | 408.803i | −1.04644 | + | 1.32299i | ||||
\(310\) | −24.9337 | −0.0804313 | ||||||||
\(311\) | 133.398i | 0.428933i | 0.976731 | + | 0.214467i | \(0.0688013\pi\) | ||||
−0.976731 | + | 0.214467i | \(0.931199\pi\) | |||||||
\(312\) | 10.3473 | + | 8.18439i | 0.0331643 | + | 0.0262320i | ||||
\(313\) | 220.130 | 0.703290 | 0.351645 | − | 0.936133i | \(-0.385622\pi\) | ||||
0.351645 | + | 0.936133i | \(0.385622\pi\) | |||||||
\(314\) | 82.6518i | 0.263222i | ||||||||
\(315\) | −51.8136 | + | 12.2616i | −0.164488 | + | 0.0389257i | ||||
\(316\) | 144.225 | 0.456407 | ||||||||
\(317\) | 328.688i | 1.03687i | 0.855117 | + | 0.518435i | \(0.173485\pi\) | ||||
−0.855117 | + | 0.518435i | \(0.826515\pi\) | |||||||
\(318\) | −207.389 | + | 262.195i | −0.652165 | + | 0.824511i | ||||
\(319\) | −342.716 | −1.07434 | ||||||||
\(320\) | 17.8885i | 0.0559017i | ||||||||
\(321\) | 220.616 | + | 174.501i | 0.687278 | + | 0.543617i | ||||
\(322\) | 88.9372 | 0.276203 | ||||||||
\(323\) | 675.075i | 2.09001i | ||||||||
\(324\) | 144.818 | − | 72.6077i | 0.446968 | − | 0.224098i | ||||
\(325\) | 7.77393 | 0.0239198 | ||||||||
\(326\) | 112.411i | 0.344817i | ||||||||
\(327\) | −366.416 | + | 463.248i | −1.12054 | + | 1.41666i | ||||
\(328\) | 143.964 | 0.438914 | ||||||||
\(329\) | − | 41.7082i | − | 0.126773i | ||||||
\(330\) | 141.610 | + | 112.009i | 0.429120 | + | 0.339422i | ||||
\(331\) | −440.198 | −1.32990 | −0.664952 | − | 0.746886i | \(-0.731548\pi\) | ||||
−0.664952 | + | 0.746886i | \(0.731548\pi\) | |||||||
\(332\) | − | 208.359i | − | 0.627587i | ||||||
\(333\) | 42.5331 | + | 179.732i | 0.127727 | + | 0.539735i | ||||
\(334\) | −102.062 | −0.305574 | ||||||||
\(335\) | − | 125.678i | − | 0.375158i | ||||||
\(336\) | −19.6961 | + | 24.9011i | −0.0586193 | + | 0.0741104i | ||||
\(337\) | −136.800 | −0.405934 | −0.202967 | − | 0.979186i | \(-0.565058\pi\) | ||||
−0.202967 | + | 0.979186i | \(0.565058\pi\) | |||||||
\(338\) | 235.583i | 0.696992i | ||||||||
\(339\) | −268.981 | − | 212.756i | −0.793454 | − | 0.627600i | ||||
\(340\) | −129.253 | −0.380157 | ||||||||
\(341\) | 150.062i | 0.440064i | ||||||||
\(342\) | −289.301 | + | 68.4625i | −0.845910 | + | 0.200183i | ||||
\(343\) | 18.5203 | 0.0539949 | ||||||||
\(344\) | − | 88.3892i | − | 0.256945i | ||||||
\(345\) | −98.9180 | + | 125.059i | −0.286719 | + | 0.362489i | ||||
\(346\) | 333.265 | 0.963192 | ||||||||
\(347\) | − | 101.080i | − | 0.291296i | −0.989336 | − | 0.145648i | \(-0.953473\pi\) | ||
0.989336 | − | 0.145648i | \(-0.0465266\pi\) | |||||||
\(348\) | 84.7404 | + | 67.0273i | 0.243507 | + | 0.192607i | ||||
\(349\) | 66.6889 | 0.191086 | 0.0955428 | − | 0.995425i | \(-0.469541\pi\) | ||||
0.0955428 | + | 0.995425i | \(0.469541\pi\) | |||||||
\(350\) | 18.7083i | 0.0534522i | ||||||||
\(351\) | −38.0371 | − | 17.7605i | −0.108368 | − | 0.0505996i | ||||
\(352\) | 107.661 | 0.305855 | ||||||||
\(353\) | − | 163.078i | − | 0.461976i | −0.972957 | − | 0.230988i | \(-0.925804\pi\) | ||
0.972957 | − | 0.230988i | \(-0.0741958\pi\) | |||||||
\(354\) | 234.761 | − | 296.800i | 0.663166 | − | 0.838419i | ||||
\(355\) | 63.5270 | 0.178949 | ||||||||
\(356\) | 72.7894i | 0.204465i | ||||||||
\(357\) | −179.922 | − | 142.314i | −0.503984 | − | 0.398637i | ||||
\(358\) | −187.535 | −0.523841 | ||||||||
\(359\) | 316.890i | 0.882702i | 0.897334 | + | 0.441351i | \(0.145501\pi\) | ||||
−0.897334 | + | 0.441351i | \(0.854499\pi\) | |||||||
\(360\) | −13.1082 | − | 55.3911i | −0.0364116 | − | 0.153864i | ||||
\(361\) | 184.570 | 0.511273 | ||||||||
\(362\) | − | 67.7789i | − | 0.187235i | ||||||
\(363\) | 448.925 | − | 567.561i | 1.23671 | − | 1.56353i | ||||
\(364\) | 8.22716 | 0.0226021 | ||||||||
\(365\) | 268.893i | 0.736693i | ||||||||
\(366\) | 187.724 | + | 148.485i | 0.512908 | + | 0.405696i | ||||
\(367\) | 492.889 | 1.34302 | 0.671511 | − | 0.740994i | \(-0.265646\pi\) | ||||
0.671511 | + | 0.740994i | \(0.265646\pi\) | |||||||
\(368\) | 95.0779i | 0.258364i | ||||||||
\(369\) | −445.777 | + | 105.492i | −1.20807 | + | 0.285887i | ||||
\(370\) | 64.8955 | 0.175393 | ||||||||
\(371\) | 208.472i | 0.561920i | ||||||||
\(372\) | 29.3486 | − | 37.1045i | 0.0788941 | − | 0.0997432i | ||||
\(373\) | 614.112 | 1.64641 | 0.823207 | − | 0.567742i | \(-0.192183\pi\) | ||||
0.823207 | + | 0.567742i | \(0.192183\pi\) | |||||||
\(374\) | 777.901i | 2.07995i | ||||||||
\(375\) | −26.3066 | − | 20.8078i | −0.0701509 | − | 0.0554874i | ||||
\(376\) | 44.5879 | 0.118585 | ||||||||
\(377\) | − | 27.9977i | − | 0.0742644i | ||||||
\(378\) | 42.7413 | − | 91.5379i | 0.113072 | − | 0.242164i | ||||
\(379\) | 492.230 | 1.29876 | 0.649380 | − | 0.760464i | \(-0.275028\pi\) | ||||
0.649380 | + | 0.760464i | \(0.275028\pi\) | |||||||
\(380\) | 104.458i | 0.274888i | ||||||||
\(381\) | −26.5395 | + | 33.5531i | −0.0696576 | + | 0.0880658i | ||||
\(382\) | 260.053 | 0.680767 | ||||||||
\(383\) | − | 292.505i | − | 0.763722i | −0.924220 | − | 0.381861i | \(-0.875283\pi\) | ||
0.924220 | − | 0.381861i | \(-0.124717\pi\) | |||||||
\(384\) | −26.6204 | − | 21.0560i | −0.0693239 | − | 0.0548333i | ||||
\(385\) | 112.594 | 0.292453 | ||||||||
\(386\) | − | 152.391i | − | 0.394795i | ||||||
\(387\) | 64.7689 | + | 273.694i | 0.167362 | + | 0.707218i | ||||
\(388\) | 114.328 | 0.294661 | ||||||||
\(389\) | − | 447.326i | − | 1.14994i | −0.818175 | − | 0.574969i | \(-0.805014\pi\) | ||
0.818175 | − | 0.574969i | \(-0.194986\pi\) | |||||||
\(390\) | −9.15043 | + | 11.5686i | −0.0234626 | + | 0.0296630i | ||||
\(391\) | −686.983 | −1.75699 | ||||||||
\(392\) | 19.7990i | 0.0505076i | ||||||||
\(393\) | −202.606 | − | 160.256i | −0.515538 | − | 0.407776i | ||||
\(394\) | −420.370 | −1.06693 | ||||||||
\(395\) | 161.248i | 0.408223i | ||||||||
\(396\) | −333.367 | + | 78.8906i | −0.841837 | + | 0.199219i | ||||
\(397\) | 293.499 | 0.739293 | 0.369646 | − | 0.929172i | \(-0.379479\pi\) | ||||
0.369646 | + | 0.929172i | \(0.379479\pi\) | |||||||
\(398\) | − | 349.150i | − | 0.877262i | ||||||
\(399\) | −115.012 | + | 145.406i | −0.288252 | + | 0.364427i | ||||
\(400\) | −20.0000 | −0.0500000 | ||||||||
\(401\) | − | 450.848i | − | 1.12431i | −0.827032 | − | 0.562155i | \(-0.809972\pi\) | ||
0.827032 | − | 0.562155i | \(-0.190028\pi\) | |||||||
\(402\) | 187.024 | + | 147.931i | 0.465235 | + | 0.367988i | ||||
\(403\) | −12.2591 | −0.0304195 | ||||||||
\(404\) | 289.850i | 0.717450i | ||||||||
\(405\) | 81.1778 | + | 161.911i | 0.200439 | + | 0.399780i | ||||
\(406\) | 67.3775 | 0.165955 | ||||||||
\(407\) | − | 390.569i | − | 0.959629i | ||||||
\(408\) | 152.140 | − | 192.345i | 0.372891 | − | 0.471434i | ||||
\(409\) | 304.167 | 0.743686 | 0.371843 | − | 0.928296i | \(-0.378726\pi\) | ||||
0.371843 | + | 0.928296i | \(0.378726\pi\) | |||||||
\(410\) | 160.956i | 0.392576i | ||||||||
\(411\) | 205.675 | + | 162.683i | 0.500427 | + | 0.395823i | ||||
\(412\) | −347.484 | −0.843407 | ||||||||
\(413\) | − | 235.987i | − | 0.571398i | ||||||
\(414\) | −69.6702 | − | 294.405i | −0.168285 | − | 0.711122i | ||||
\(415\) | 232.952 | 0.561331 | ||||||||
\(416\) | 8.79520i | 0.0211423i | ||||||||
\(417\) | −350.928 | + | 443.666i | −0.841553 | + | 1.06395i | ||||
\(418\) | 628.670 | 1.50400 | ||||||||
\(419\) | 151.970i | 0.362698i | 0.983419 | + | 0.181349i | \(0.0580463\pi\) | ||||
−0.983419 | + | 0.181349i | \(0.941954\pi\) | |||||||
\(420\) | −27.8403 | − | 22.0209i | −0.0662864 | − | 0.0524307i | ||||
\(421\) | 165.499 | 0.393109 | 0.196554 | − | 0.980493i | \(-0.437025\pi\) | ||||
0.196554 | + | 0.980493i | \(0.437025\pi\) | |||||||
\(422\) | − | 413.221i | − | 0.979196i | ||||||
\(423\) | −138.065 | + | 32.6727i | −0.326394 | + | 0.0772404i | ||||
\(424\) | −222.866 | −0.525628 | ||||||||
\(425\) | − | 144.510i | − | 0.340023i | ||||||
\(426\) | −74.7754 | + | 94.5361i | −0.175529 | + | 0.221916i | ||||
\(427\) | 149.261 | 0.349556 | ||||||||
\(428\) | 187.524i | 0.438141i | ||||||||
\(429\) | 69.6247 | + | 55.0712i | 0.162295 | + | 0.128371i | ||||
\(430\) | 98.8222 | 0.229819 | ||||||||
\(431\) | − | 240.737i | − | 0.558555i | −0.960210 | − | 0.279277i | \(-0.909905\pi\) | ||
0.960210 | − | 0.279277i | \(-0.0900949\pi\) | |||||||
\(432\) | 97.8581 | + | 45.6923i | 0.226523 | + | 0.105769i | ||||
\(433\) | 551.714 | 1.27417 | 0.637083 | − | 0.770795i | \(-0.280141\pi\) | ||||
0.637083 | + | 0.770795i | \(0.280141\pi\) | |||||||
\(434\) | − | 29.5020i | − | 0.0679769i | ||||||
\(435\) | −74.9388 | + | 94.7427i | −0.172273 | + | 0.217799i | ||||
\(436\) | −393.762 | −0.903125 | ||||||||
\(437\) | 555.194i | 1.27047i | ||||||||
\(438\) | −400.146 | − | 316.504i | −0.913576 | − | 0.722613i | ||||
\(439\) | 85.9944 | 0.195887 | 0.0979435 | − | 0.995192i | \(-0.468774\pi\) | ||||
0.0979435 | + | 0.995192i | \(0.468774\pi\) | |||||||
\(440\) | 120.369i | 0.273565i | ||||||||
\(441\) | −14.5081 | − | 61.3067i | −0.0328982 | − | 0.139018i | ||||
\(442\) | −63.5496 | −0.143777 | ||||||||
\(443\) | 407.274i | 0.919354i | 0.888086 | + | 0.459677i | \(0.152035\pi\) | ||||
−0.888086 | + | 0.459677i | \(0.847965\pi\) | |||||||
\(444\) | −76.3863 | + | 96.5727i | −0.172041 | + | 0.217506i | ||||
\(445\) | −81.3810 | −0.182879 | ||||||||
\(446\) | 320.701i | 0.719061i | ||||||||
\(447\) | −283.195 | − | 224.000i | −0.633547 | − | 0.501118i | ||||
\(448\) | −21.1660 | −0.0472456 | ||||||||
\(449\) | − | 373.874i | − | 0.832682i | −0.909209 | − | 0.416341i | \(-0.863312\pi\) | ||
0.909209 | − | 0.416341i | \(-0.136688\pi\) | |||||||
\(450\) | 61.9291 | − | 14.6554i | 0.137620 | − | 0.0325675i | ||||
\(451\) | 968.703 | 2.14790 | ||||||||
\(452\) | − | 228.635i | − | 0.505829i | ||||||
\(453\) | 77.4589 | − | 97.9287i | 0.170991 | − | 0.216178i | ||||
\(454\) | −414.866 | −0.913801 | ||||||||
\(455\) | 9.19824i | 0.0202159i | ||||||||
\(456\) | −155.446 | − | 122.953i | −0.340890 | − | 0.269635i | ||||
\(457\) | 29.2307 | 0.0639623 | 0.0319811 | − | 0.999488i | \(-0.489818\pi\) | ||||
0.0319811 | + | 0.999488i | \(0.489818\pi\) | |||||||
\(458\) | 260.019i | 0.567728i | ||||||||
\(459\) | −330.149 | + | 707.072i | −0.719279 | + | 1.54046i | ||||
\(460\) | −106.300 | −0.231088 | ||||||||
\(461\) | − | 354.370i | − | 0.768699i | −0.923188 | − | 0.384350i | \(-0.874426\pi\) | ||
0.923188 | − | 0.384350i | \(-0.125574\pi\) | |||||||
\(462\) | −132.531 | + | 167.555i | −0.286864 | + | 0.362672i | ||||
\(463\) | −488.004 | −1.05400 | −0.527002 | − | 0.849864i | \(-0.676684\pi\) | ||||
−0.527002 | + | 0.849864i | \(0.676684\pi\) | |||||||
\(464\) | 72.0296i | 0.155236i | ||||||||
\(465\) | 41.4841 | + | 32.8127i | 0.0892131 | + | 0.0705650i | ||||
\(466\) | −478.234 | −1.02625 | ||||||||
\(467\) | − | 400.445i | − | 0.857484i | −0.903427 | − | 0.428742i | \(-0.858957\pi\) | ||
0.903427 | − | 0.428742i | \(-0.141043\pi\) | |||||||
\(468\) | −6.44486 | − | 27.2340i | −0.0137711 | − | 0.0581922i | ||||
\(469\) | 148.704 | 0.317066 | ||||||||
\(470\) | 49.8508i | 0.106066i | ||||||||
\(471\) | 108.770 | − | 137.514i | 0.230934 | − | 0.291962i | ||||
\(472\) | 252.281 | 0.534494 | ||||||||
\(473\) | − | 594.754i | − | 1.25741i | ||||||
\(474\) | −239.957 | − | 189.799i | −0.506239 | − | 0.400421i | ||||
\(475\) | −116.787 | −0.245868 | ||||||||
\(476\) | − | 152.935i | − | 0.321291i | ||||||
\(477\) | 690.096 | − | 163.310i | 1.44674 | − | 0.342368i | ||||
\(478\) | 417.617 | 0.873677 | ||||||||
\(479\) | 724.371i | 1.51226i | 0.654424 | + | 0.756128i | \(0.272911\pi\) | ||||
−0.654424 | + | 0.756128i | \(0.727089\pi\) | |||||||
\(480\) | 23.5413 | − | 29.7625i | 0.0490444 | − | 0.0620052i | ||||
\(481\) | 31.9070 | 0.0663347 | ||||||||
\(482\) | 318.088i | 0.659933i | ||||||||
\(483\) | −147.972 | − | 117.041i | −0.306359 | − | 0.242322i | ||||
\(484\) | 482.429 | 0.996754 | ||||||||
\(485\) | 127.823i | 0.263552i | ||||||||
\(486\) | −336.495 | − | 69.7770i | −0.692377 | − | 0.143574i | ||||
\(487\) | −497.194 | −1.02093 | −0.510466 | − | 0.859898i | \(-0.670527\pi\) | ||||
−0.510466 | + | 0.859898i | \(0.670527\pi\) | |||||||
\(488\) | 159.566i | 0.326980i | ||||||||
\(489\) | 147.932 | − | 187.026i | 0.302520 | − | 0.382466i | ||||
\(490\) | −22.1359 | −0.0451754 | ||||||||
\(491\) | − | 520.399i | − | 1.05988i | −0.848036 | − | 0.529938i | \(-0.822215\pi\) | ||
0.848036 | − | 0.529938i | \(-0.177785\pi\) | |||||||
\(492\) | −239.523 | − | 189.456i | −0.486835 | − | 0.385073i | ||||
\(493\) | −520.449 | −1.05568 | ||||||||
\(494\) | 51.3583i | 0.103964i | ||||||||
\(495\) | −88.2024 | − | 372.716i | −0.178187 | − | 0.752962i | ||||
\(496\) | 31.5389 | 0.0635865 | ||||||||
\(497\) | 75.1662i | 0.151240i | ||||||||
\(498\) | −274.200 | + | 346.662i | −0.550603 | + | 0.696109i | ||||
\(499\) | 645.961 | 1.29451 | 0.647256 | − | 0.762273i | \(-0.275916\pi\) | ||||
0.647256 | + | 0.762273i | \(0.275916\pi\) | |||||||
\(500\) | − | 22.3607i | − | 0.0447214i | ||||||
\(501\) | 169.808 | + | 134.313i | 0.338938 | + | 0.268090i | ||||
\(502\) | −37.2414 | −0.0741861 | ||||||||
\(503\) | 21.7943i | 0.0433287i | 0.999765 | + | 0.0216644i | \(0.00689652\pi\) | ||||
−0.999765 | + | 0.0216644i | \(0.993103\pi\) | |||||||
\(504\) | 65.5397 | − | 15.5098i | 0.130039 | − | 0.0307734i | ||||
\(505\) | −324.062 | −0.641707 | ||||||||
\(506\) | 639.761i | 1.26435i | ||||||||
\(507\) | 310.028 | − | 391.958i | 0.611494 | − | 0.773092i | ||||
\(508\) | −28.5202 | −0.0561422 | ||||||||
\(509\) | − | 466.441i | − | 0.916386i | −0.888853 | − | 0.458193i | \(-0.848497\pi\) | ||
0.888853 | − | 0.458193i | \(-0.151503\pi\) | |||||||
\(510\) | 215.048 | + | 170.097i | 0.421664 | + | 0.333524i | ||||
\(511\) | −318.158 | −0.622619 | ||||||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 571.429 | + | 266.814i | 1.11390 | + | 0.520105i | ||||
\(514\) | −182.642 | −0.355334 | ||||||||
\(515\) | − | 388.498i | − | 0.754366i | ||||||
\(516\) | −116.320 | + | 147.060i | −0.225427 | + | 0.285000i | ||||
\(517\) | 300.023 | 0.580316 | ||||||||
\(518\) | 76.7854i | 0.148234i | ||||||||
\(519\) | −554.477 | − | 438.576i | −1.06836 | − | 0.845040i | ||||
\(520\) | −9.83334 | −0.0189103 | ||||||||
\(521\) | 234.319i | 0.449749i | 0.974388 | + | 0.224875i | \(0.0721973\pi\) | ||||
−0.974388 | + | 0.224875i | \(0.927803\pi\) | |||||||
\(522\) | −52.7811 | − | 223.037i | −0.101113 | − | 0.427273i | ||||
\(523\) | 569.920 | 1.08971 | 0.544856 | − | 0.838529i | \(-0.316584\pi\) | ||||
0.544856 | + | 0.838529i | \(0.316584\pi\) | |||||||
\(524\) | − | 172.216i | − | 0.328657i | ||||||
\(525\) | 24.6201 | − | 31.1264i | 0.0468954 | − | 0.0592883i | ||||
\(526\) | 331.137 | 0.629538 | ||||||||
\(527\) | 227.884i | 0.432417i | ||||||||
\(528\) | −179.123 | − | 141.682i | −0.339249 | − | 0.268336i | ||||
\(529\) | −35.9879 | −0.0680300 | ||||||||
\(530\) | − | 249.172i | − | 0.470136i | ||||||
\(531\) | −781.178 | + | 184.864i | −1.47114 | + | 0.348143i | ||||
\(532\) | −123.596 | −0.232323 | ||||||||
\(533\) | 79.1368i | 0.148474i | ||||||||
\(534\) | 95.7908 | − | 121.105i | 0.179383 | − | 0.226789i | ||||
\(535\) | −209.659 | −0.391885 | ||||||||
\(536\) | 158.971i | 0.296588i | ||||||||
\(537\) | 312.016 | + | 246.796i | 0.581035 | + | 0.459583i | ||||
\(538\) | 154.178 | 0.286576 | ||||||||
\(539\) | 133.224i | 0.247168i | ||||||||
\(540\) | −51.0856 | + | 109.409i | −0.0946030 | + | 0.202609i | ||||
\(541\) | −891.572 | −1.64801 | −0.824003 | − | 0.566585i | \(-0.808264\pi\) | ||||
−0.824003 | + | 0.566585i | \(0.808264\pi\) | |||||||
\(542\) | − | 288.801i | − | 0.532843i | ||||||
\(543\) | −89.1970 | + | 112.769i | −0.164267 | + | 0.207677i | ||||
\(544\) | 163.494 | 0.300540 | ||||||||
\(545\) | − | 440.240i | − | 0.807779i | ||||||
\(546\) | −13.6881 | − | 10.8269i | −0.0250699 | − | 0.0198295i | ||||
\(547\) | −196.251 | −0.358777 | −0.179389 | − | 0.983778i | \(-0.557412\pi\) | ||||
−0.179389 | + | 0.983778i | \(0.557412\pi\) | |||||||
\(548\) | 174.825i | 0.319023i | ||||||||
\(549\) | −116.925 | − | 494.090i | −0.212979 | − | 0.899982i | ||||
\(550\) | −134.576 | −0.244684 | ||||||||
\(551\) | 420.607i | 0.763352i | ||||||||
\(552\) | 125.122 | − | 158.188i | 0.226671 | − | 0.286573i | ||||
\(553\) | −190.791 | −0.345011 | ||||||||
\(554\) | − | 485.869i | − | 0.877019i | ||||||
\(555\) | −107.972 | − | 85.4025i | −0.194543 | − | 0.153878i | ||||
\(556\) | −377.118 | −0.678269 | ||||||||
\(557\) | − | 1016.07i | − | 1.82418i | −0.409992 | − | 0.912089i | \(-0.634468\pi\) | ||
0.409992 | − | 0.912089i | \(-0.365532\pi\) | |||||||
\(558\) | −97.6589 | + | 23.1108i | −0.175016 | + | 0.0414171i | ||||
\(559\) | 48.5876 | 0.0869187 | ||||||||
\(560\) | − | 23.6643i | − | 0.0422577i | ||||||
\(561\) | 1023.72 | − | 1294.25i | 1.82481 | − | 2.30705i | ||||
\(562\) | −568.522 | −1.01161 | ||||||||
\(563\) | − | 104.346i | − | 0.185340i | −0.995697 | − | 0.0926698i | \(-0.970460\pi\) | ||
0.995697 | − | 0.0926698i | \(-0.0295401\pi\) | |||||||
\(564\) | −74.1843 | − | 58.6777i | −0.131532 | − | 0.104038i | ||||
\(565\) | 255.621 | 0.452427 | ||||||||
\(566\) | − | 410.485i | − | 0.725238i | ||||||
\(567\) | −191.576 | + | 96.0509i | −0.337876 | + | 0.169402i | ||||
\(568\) | −80.3560 | −0.141472 | ||||||||
\(569\) | 12.9324i | 0.0227284i | 0.999935 | + | 0.0113642i | \(0.00361741\pi\) | ||||
−0.999935 | + | 0.0113642i | \(0.996383\pi\) | |||||||
\(570\) | 137.466 | − | 173.794i | 0.241169 | − | 0.304902i | ||||
\(571\) | 986.261 | 1.72725 | 0.863626 | − | 0.504133i | \(-0.168188\pi\) | ||||
0.863626 | + | 0.504133i | \(0.168188\pi\) | |||||||
\(572\) | 59.1812i | 0.103464i | ||||||||
\(573\) | −432.670 | − | 342.230i | −0.755096 | − | 0.597259i | ||||
\(574\) | −190.446 | −0.331787 | ||||||||
\(575\) | − | 118.847i | − | 0.206691i | ||||||
\(576\) | 16.5807 | + | 70.0648i | 0.0287859 | + | 0.121640i | ||||
\(577\) | 305.085 | 0.528744 | 0.264372 | − | 0.964421i | \(-0.414835\pi\) | ||||
0.264372 | + | 0.964421i | \(0.414835\pi\) | |||||||
\(578\) | 772.615i | 1.33670i | ||||||||
\(579\) | −200.546 | + | 253.544i | −0.346367 | + | 0.437900i | ||||
\(580\) | −80.5316 | −0.138848 | ||||||||
\(581\) | 275.633i | 0.474411i | ||||||||
\(582\) | −190.217 | − | 150.456i | −0.326833 | − | 0.258515i | ||||
\(583\) | −1499.62 | −2.57225 | ||||||||
\(584\) | − | 340.126i | − | 0.582407i | ||||||
\(585\) | 30.4485 | − | 7.20557i | 0.0520487 | − | 0.0123172i | ||||
\(586\) | −627.176 | −1.07027 | ||||||||
\(587\) | 469.411i | 0.799679i | 0.916585 | + | 0.399839i | \(0.130934\pi\) | ||||
−0.916585 | + | 0.399839i | \(0.869066\pi\) | |||||||
\(588\) | 26.0555 | − | 32.9411i | 0.0443120 | − | 0.0560222i | ||||
\(589\) | 184.167 | 0.312678 | ||||||||
\(590\) | 282.059i | 0.478066i | ||||||||
\(591\) | 699.401 | + | 553.206i | 1.18342 | + | 0.936051i | ||||
\(592\) | −82.0871 | −0.138661 | ||||||||
\(593\) | 280.787i | 0.473502i | 0.971570 | + | 0.236751i | \(0.0760826\pi\) | ||||
−0.971570 | + | 0.236751i | \(0.923917\pi\) | |||||||
\(594\) | 658.468 | + | 307.455i | 1.10853 | + | 0.517601i | ||||
\(595\) | 170.986 | 0.287372 | ||||||||
\(596\) | − | 240.717i | − | 0.403888i | ||||||
\(597\) | −459.481 | + | 580.907i | −0.769650 | + | 0.973044i | ||||
\(598\) | −52.2643 | −0.0873985 | ||||||||
\(599\) | 257.993i | 0.430706i | 0.976536 | + | 0.215353i | \(0.0690902\pi\) | ||||
−0.976536 | + | 0.215353i | \(0.930910\pi\) | |||||||
\(600\) | 33.2755 | + | 26.3200i | 0.0554592 | + | 0.0438666i | ||||
\(601\) | −373.606 | −0.621641 | −0.310820 | − | 0.950469i | \(-0.600604\pi\) | ||||
−0.310820 | + | 0.950469i | \(0.600604\pi\) | |||||||
\(602\) | 116.928i | 0.194233i | ||||||||
\(603\) | −116.489 | − | 492.248i | −0.193183 | − | 0.816331i | ||||
\(604\) | 83.2397 | 0.137814 | ||||||||
\(605\) | 539.372i | 0.891524i | ||||||||
\(606\) | 381.442 | − | 482.245i | 0.629443 | − | 0.795784i | ||||
\(607\) | −227.281 | −0.374434 | −0.187217 | − | 0.982319i | \(-0.559947\pi\) | ||||
−0.187217 | + | 0.982319i | \(0.559947\pi\) | |||||||
\(608\) | − | 132.130i | − | 0.217318i | ||||||
\(609\) | −112.101 | − | 88.6688i | −0.184074 | − | 0.145597i | ||||
\(610\) | −178.401 | −0.292460 | ||||||||
\(611\) | 24.5100i | 0.0401146i | ||||||||
\(612\) | −506.252 | + | 119.803i | −0.827209 | + | 0.195757i | ||||
\(613\) | −731.598 | −1.19347 | −0.596736 | − | 0.802438i | \(-0.703536\pi\) | ||||
−0.596736 | + | 0.802438i | \(0.703536\pi\) | |||||||
\(614\) | − | 53.1046i | − | 0.0864896i | ||||||
\(615\) | 211.818 | − | 267.795i | 0.344420 | − | 0.435439i | ||||
\(616\) | −142.422 | −0.231204 | ||||||||
\(617\) | − | 488.323i | − | 0.791447i | −0.918370 | − | 0.395724i | \(-0.870494\pi\) | ||
0.918370 | − | 0.395724i | \(-0.129506\pi\) | |||||||
\(618\) | 578.134 | + | 457.288i | 0.935492 | + | 0.739948i | ||||
\(619\) | 304.696 | 0.492240 | 0.246120 | − | 0.969239i | \(-0.420844\pi\) | ||||
0.246120 | + | 0.969239i | \(0.420844\pi\) | |||||||
\(620\) | 35.2616i | 0.0568735i | ||||||||
\(621\) | −271.521 | + | 581.509i | −0.437232 | + | 0.936407i | ||||
\(622\) | 188.654 | 0.303302 | ||||||||
\(623\) | − | 96.2913i | − | 0.154561i | ||||||
\(624\) | 11.5745 | − | 14.6332i | 0.0185488 | − | 0.0234507i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | − | 311.311i | − | 0.497301i | ||||||
\(627\) | −1045.97 | − | 827.330i | −1.66821 | − | 1.31951i | ||||
\(628\) | 116.887 | 0.186126 | ||||||||
\(629\) | − | 593.118i | − | 0.942955i | ||||||
\(630\) | 17.3405 | + | 73.2756i | 0.0275246 | + | 0.116310i | ||||
\(631\) | −568.874 | −0.901544 | −0.450772 | − | 0.892639i | \(-0.648851\pi\) | ||||
−0.450772 | + | 0.892639i | \(0.648851\pi\) | |||||||
\(632\) | − | 203.964i | − | 0.322728i | ||||||
\(633\) | −543.798 | + | 687.506i | −0.859081 | + | 1.08611i | ||||
\(634\) | 464.835 | 0.733177 | ||||||||
\(635\) | − | 31.8866i | − | 0.0502151i | ||||||
\(636\) | 370.799 | + | 293.292i | 0.583018 | + | 0.461151i | ||||
\(637\) | −10.8835 | −0.0170856 | ||||||||
\(638\) | 484.673i | 0.759676i | ||||||||
\(639\) | 248.819 | − | 58.8824i | 0.389388 | − | 0.0921478i | ||||
\(640\) | 25.2982 | 0.0395285 | ||||||||
\(641\) | 565.547i | 0.882289i | 0.897436 | + | 0.441144i | \(0.145427\pi\) | ||||
−0.897436 | + | 0.441144i | \(0.854573\pi\) | |||||||
\(642\) | 246.782 | − | 311.998i | 0.384396 | − | 0.485979i | ||||
\(643\) | −47.4562 | −0.0738043 | −0.0369022 | − | 0.999319i | \(-0.511749\pi\) | ||||
−0.0369022 | + | 0.999319i | \(0.511749\pi\) | |||||||
\(644\) | − | 125.776i | − | 0.195305i | ||||||
\(645\) | −164.418 | − | 130.050i | −0.254911 | − | 0.201628i | ||||
\(646\) | 954.700 | 1.47786 | ||||||||
\(647\) | 427.152i | 0.660204i | 0.943945 | + | 0.330102i | \(0.107083\pi\) | ||||
−0.943945 | + | 0.330102i | \(0.892917\pi\) | |||||||
\(648\) | −102.683 | − | 204.803i | −0.158461 | − | 0.316054i | ||||
\(649\) | 1697.55 | 2.61564 | ||||||||
\(650\) | − | 10.9940i | − | 0.0169139i | ||||||
\(651\) | −38.8246 | + | 49.0846i | −0.0596383 | + | 0.0753988i | ||||
\(652\) | 158.972 | 0.243823 | ||||||||
\(653\) | − | 1157.00i | − | 1.77182i | −0.463856 | − | 0.885910i | \(-0.653535\pi\) | ||
0.463856 | − | 0.885910i | \(-0.346465\pi\) | |||||||
\(654\) | 655.132 | + | 518.191i | 1.00173 | + | 0.792341i | ||||
\(655\) | 192.543 | 0.293960 | ||||||||
\(656\) | − | 203.595i | − | 0.310359i | ||||||
\(657\) | 249.234 | + | 1053.18i | 0.379351 | + | 1.60302i | ||||
\(658\) | −58.9843 | −0.0896418 | ||||||||
\(659\) | 522.811i | 0.793340i | 0.917961 | + | 0.396670i | \(0.129834\pi\) | ||||
−0.917961 | + | 0.396670i | \(0.870166\pi\) | |||||||
\(660\) | 158.405 | − | 200.266i | 0.240007 | − | 0.303433i | ||||
\(661\) | 885.681 | 1.33991 | 0.669956 | − | 0.742401i | \(-0.266313\pi\) | ||||
0.669956 | + | 0.742401i | \(0.266313\pi\) | |||||||
\(662\) | 622.534i | 0.940384i | ||||||||
\(663\) | 105.732 | + | 83.6312i | 0.159475 | + | 0.126141i | ||||
\(664\) | −294.664 | −0.443771 | ||||||||
\(665\) | − | 138.184i | − | 0.207796i | ||||||
\(666\) | 254.179 | − | 60.1509i | 0.381650 | − | 0.0903167i | ||||
\(667\) | −428.026 | −0.641719 | ||||||||
\(668\) | 144.337i | 0.216074i | ||||||||
\(669\) | 422.042 | − | 533.575i | 0.630856 | − | 0.797570i | ||||
\(670\) | −177.735 | −0.265276 | ||||||||
\(671\) | 1073.69i | 1.60013i | ||||||||
\(672\) | 35.2155 | + | 27.8545i | 0.0524040 | + | 0.0414501i | ||||
\(673\) | −969.877 | −1.44112 | −0.720562 | − | 0.693390i | \(-0.756116\pi\) | ||||
−0.720562 | + | 0.693390i | \(0.756116\pi\) | |||||||
\(674\) | 193.464i | 0.287039i | ||||||||
\(675\) | −122.323 | − | 57.1154i | −0.181219 | − | 0.0846155i | ||||
\(676\) | 333.165 | 0.492848 | ||||||||
\(677\) | 497.683i | 0.735130i | 0.929998 | + | 0.367565i | \(0.119809\pi\) | ||||
−0.929998 | + | 0.367565i | \(0.880191\pi\) | |||||||
\(678\) | −300.883 | + | 380.397i | −0.443780 | + | 0.561057i | ||||
\(679\) | −151.242 | −0.222743 | ||||||||
\(680\) | 182.792i | 0.268811i | ||||||||
\(681\) | 690.243 | + | 545.963i | 1.01357 | + | 0.801708i | ||||
\(682\) | 212.219 | 0.311172 | ||||||||
\(683\) | 1188.03i | 1.73943i | 0.493553 | + | 0.869716i | \(0.335698\pi\) | ||||
−0.493553 | + | 0.869716i | \(0.664302\pi\) | |||||||
\(684\) | 96.8205 | + | 409.134i | 0.141551 | + | 0.598149i | ||||
\(685\) | −195.460 | −0.285343 | ||||||||
\(686\) | − | 26.1916i | − | 0.0381802i | ||||||
\(687\) | 342.185 | − | 432.614i | 0.498086 | − | 0.629714i | ||||
\(688\) | −125.001 | −0.181688 | ||||||||
\(689\) | − | 122.510i | − | 0.177808i | ||||||
\(690\) | 176.860 | + | 139.891i | 0.256319 | + | 0.202741i | ||||
\(691\) | −1194.03 | −1.72797 | −0.863985 | − | 0.503517i | \(-0.832039\pi\) | ||||
−0.863985 | + | 0.503517i | \(0.832039\pi\) | |||||||
\(692\) | − | 471.307i | − | 0.681080i | ||||||
\(693\) | 441.003 | − | 104.362i | 0.636369 | − | 0.150595i | ||||
\(694\) | −142.948 | −0.205977 | ||||||||
\(695\) | − | 421.630i | − | 0.606662i | ||||||
\(696\) | 94.7909 | − | 119.841i | 0.136194 | − | 0.172185i | ||||
\(697\) | 1471.07 | 2.11058 | ||||||||
\(698\) | − | 94.3123i | − | 0.135118i | ||||||
\(699\) | 795.674 | + | 629.356i | 1.13830 | + | 0.900366i | ||||
\(700\) | 26.4575 | 0.0377964 | ||||||||
\(701\) | 724.767i | 1.03390i | 0.856014 | + | 0.516952i | \(0.172933\pi\) | ||||
−0.856014 | + | 0.516952i | \(0.827067\pi\) | |||||||
\(702\) | −25.1171 | + | 53.7926i | −0.0357793 | + | 0.0766277i | ||||
\(703\) | −479.336 | −0.681843 | ||||||||
\(704\) | − | 152.255i | − | 0.216272i | ||||||
\(705\) | 65.6036 | − | 82.9405i | 0.0930548 | − | 0.117646i | ||||
\(706\) | −230.627 | −0.326666 | ||||||||
\(707\) | − | 383.435i | − | 0.542341i | ||||||
\(708\) | −419.739 | − | 332.002i | −0.592852 | − | 0.468929i | ||||
\(709\) | 336.704 | 0.474900 | 0.237450 | − | 0.971400i | \(-0.423688\pi\) | ||||
0.237450 | + | 0.971400i | \(0.423688\pi\) | |||||||
\(710\) | − | 89.8407i | − | 0.126536i | ||||||
\(711\) | 149.459 | + | 631.567i | 0.210209 | + | 0.888280i | ||||
\(712\) | 102.940 | 0.144578 | ||||||||
\(713\) | 187.416i | 0.262855i | ||||||||
\(714\) | −201.262 | + | 254.449i | −0.281879 | + | 0.356371i | ||||
\(715\) | −66.1666 | −0.0925407 | ||||||||
\(716\) | 265.215i | 0.370411i | ||||||||
\(717\) | −694.821 | − | 549.584i | −0.969068 | − | 0.766505i | ||||
\(718\) | 448.150 | 0.624165 | ||||||||
\(719\) | 819.998i | 1.14047i | 0.821482 | + | 0.570235i | \(0.193148\pi\) | ||||
−0.821482 | + | 0.570235i | \(0.806852\pi\) | |||||||
\(720\) | −78.3349 | + | 18.5378i | −0.108798 | + | 0.0257469i | ||||
\(721\) | 459.678 | 0.637555 | ||||||||
\(722\) | − | 261.021i | − | 0.361525i | ||||||
\(723\) | 418.603 | − | 529.226i | 0.578981 | − | 0.731987i | ||||
\(724\) | −95.8538 | −0.132395 | ||||||||
\(725\) | − | 90.0370i | − | 0.124189i | ||||||
\(726\) | −802.653 | − | 634.876i | −1.10558 | − | 0.874485i | ||||
\(727\) | −1265.71 | −1.74100 | −0.870500 | − | 0.492168i | \(-0.836204\pi\) | ||||
−0.870500 | + | 0.492168i | \(0.836204\pi\) | |||||||
\(728\) | − | 11.6350i | − | 0.0159821i | ||||||
\(729\) | 468.026 | + | 558.921i | 0.642011 | + | 0.766695i | ||||
\(730\) | 380.272 | 0.520920 | ||||||||
\(731\) | − | 903.194i | − | 1.23556i | ||||||
\(732\) | 209.989 | − | 265.482i | 0.286870 | − | 0.362681i | ||||
\(733\) | −244.877 | −0.334075 | −0.167038 | − | 0.985951i | \(-0.553420\pi\) | ||||
−0.167038 | + | 0.985951i | \(0.553420\pi\) | |||||||
\(734\) | − | 697.051i | − | 0.949660i | ||||||
\(735\) | 36.8292 | + | 29.1309i | 0.0501078 | + | 0.0396339i | ||||
\(736\) | 134.460 | 0.182691 | ||||||||
\(737\) | 1069.69i | 1.45141i | ||||||||
\(738\) | 149.188 | + | 630.424i | 0.202152 | + | 0.854233i | ||||
\(739\) | −887.684 | −1.20120 | −0.600598 | − | 0.799551i | \(-0.705071\pi\) | ||||
−0.600598 | + | 0.799551i | \(0.705071\pi\) | |||||||
\(740\) | − | 91.7761i | − | 0.124022i | ||||||
\(741\) | 67.5875 | − | 85.4487i | 0.0912112 | − | 0.115315i | ||||
\(742\) | 294.824 | 0.397337 | ||||||||
\(743\) | 1200.69i | 1.61600i | 0.589183 | + | 0.807999i | \(0.299450\pi\) | ||||
−0.589183 | + | 0.807999i | \(0.700550\pi\) | |||||||
\(744\) | −52.4737 | − | 41.5052i | −0.0705291 | − | 0.0557866i | ||||
\(745\) | 269.130 | 0.361248 | ||||||||
\(746\) | − | 868.486i | − | 1.16419i | ||||||
\(747\) | 912.414 | − | 215.921i | 1.22144 | − | 0.289051i | ||||
\(748\) | 1100.12 | 1.47075 | ||||||||
\(749\) | − | 248.071i | − | 0.331204i | ||||||
\(750\) | −29.4266 | + | 37.2031i | −0.0392355 | + | 0.0496042i | ||||
\(751\) | 423.204 | 0.563521 | 0.281760 | − | 0.959485i | \(-0.409082\pi\) | ||||
0.281760 | + | 0.959485i | \(0.409082\pi\) | |||||||
\(752\) | − | 63.0569i | − | 0.0838522i | ||||||
\(753\) | 61.9614 | + | 49.0097i | 0.0822860 | + | 0.0650859i | ||||
\(754\) | −39.5947 | −0.0525128 | ||||||||
\(755\) | 93.0648i | 0.123265i | ||||||||
\(756\) | −129.454 | − | 60.4453i | −0.171236 | − | 0.0799541i | ||||
\(757\) | 1039.54 | 1.37323 | 0.686617 | − | 0.727020i | \(-0.259095\pi\) | ||||
0.686617 | + | 0.727020i | \(0.259095\pi\) | |||||||
\(758\) | − | 696.119i | − | 0.918362i | ||||||
\(759\) | 841.924 | − | 1064.42i | 1.10925 | − | 1.40239i | ||||
\(760\) | 147.725 | 0.194376 | ||||||||
\(761\) | − | 653.459i | − | 0.858684i | −0.903142 | − | 0.429342i | \(-0.858746\pi\) | ||
0.903142 | − | 0.429342i | \(-0.141254\pi\) | |||||||
\(762\) | 47.4512 | + | 37.5326i | 0.0622719 | + | 0.0492554i | ||||
\(763\) | 520.899 | 0.682698 | ||||||||
\(764\) | − | 367.771i | − | 0.481375i | ||||||
\(765\) | −133.944 | − | 566.007i | −0.175091 | − | 0.739878i | ||||
\(766\) | −413.665 | −0.540033 | ||||||||
\(767\) | 138.679i | 0.180807i | ||||||||
\(768\) | −29.7777 | + | 37.6469i | −0.0387730 | + | 0.0490194i | ||||
\(769\) | −631.211 | −0.820820 | −0.410410 | − | 0.911901i | \(-0.634614\pi\) | ||||
−0.410410 | + | 0.911901i | \(0.634614\pi\) | |||||||
\(770\) | − | 159.233i | − | 0.206796i | ||||||
\(771\) | 303.875 | + | 240.356i | 0.394131 | + | 0.311746i | ||||
\(772\) | −215.513 | −0.279162 | ||||||||
\(773\) | 525.003i | 0.679176i | 0.940574 | + | 0.339588i | \(0.110288\pi\) | ||||
−0.940574 | + | 0.339588i | \(0.889712\pi\) | |||||||
\(774\) | 387.061 | − | 91.5971i | 0.500079 | − | 0.118343i | ||||
\(775\) | −39.4237 | −0.0508692 | ||||||||
\(776\) | − | 161.685i | − | 0.208357i | ||||||
\(777\) | 101.050 | − | 127.754i | 0.130051 | − | 0.164419i | ||||
\(778\) | −632.615 | −0.813130 | ||||||||
\(779\) | − | 1188.87i | − | 1.52614i | ||||||
\(780\) | 16.3605 | + | 12.9407i | 0.0209749 | + | 0.0165906i | ||||
\(781\) | −540.700 | −0.692317 | ||||||||
\(782\) | 971.541i | 1.24238i | ||||||||
\(783\) | −205.700 | + | 440.543i | −0.262708 | + | 0.562634i | ||||
\(784\) | 28.0000 | 0.0357143 | ||||||||
\(785\) | 130.684i | 0.166476i | ||||||||
\(786\) | −226.636 | + | 286.529i | −0.288341 | + | 0.364541i | ||||
\(787\) | −406.916 | −0.517047 | −0.258524 | − | 0.966005i | \(-0.583236\pi\) | ||||
−0.258524 | + | 0.966005i | \(0.583236\pi\) | |||||||
\(788\) | 594.493i | 0.754432i | ||||||||
\(789\) | −550.937 | − | 435.776i | −0.698273 | − | 0.552314i | ||||
\(790\) | 228.039 | 0.288657 | ||||||||
\(791\) | 302.455i | 0.382371i | ||||||||
\(792\) | 111.568 | + | 471.453i | 0.140869 | + | 0.595268i | ||||
\(793\) | −87.7136 | −0.110610 | ||||||||
\(794\) | − | 415.071i | − | 0.522759i | ||||||
\(795\) | −327.910 | + | 414.566i | −0.412466 | + | 0.521467i | ||||
\(796\) | −493.773 | −0.620318 | ||||||||
\(797\) | 599.391i | 0.752059i | 0.926608 | + | 0.376030i | \(0.122711\pi\) | ||||
−0.926608 | + | 0.376030i | \(0.877289\pi\) | |||||||
\(798\) | 205.636 | + | 162.652i | 0.257689 | + | 0.203825i | ||||
\(799\) | 455.616 | 0.570233 | ||||||||
\(800\) | 28.2843i | 0.0353553i | ||||||||
\(801\) | −318.748 | + | 75.4311i | −0.397938 | + | 0.0941712i | ||||
\(802\) | −637.596 | −0.795007 | ||||||||
\(803\) | − | 2288.64i | − | 2.85011i | ||||||
\(804\) | 209.206 | − | 264.492i | 0.260206 | − | 0.328971i | ||||
\(805\) | 140.622 | 0.174686 | ||||||||
\(806\) | 17.3370i | 0.0215099i | ||||||||
\(807\) | −256.518 | − | 202.898i | −0.317866 | − | 0.251423i | ||||
\(808\) | 409.910 | 0.507314 | ||||||||
\(809\) | − | 528.965i | − | 0.653851i | −0.945050 | − | 0.326925i | \(-0.893987\pi\) | ||
0.945050 | − | 0.326925i | \(-0.106013\pi\) | |||||||
\(810\) | 228.977 | − | 114.803i | 0.282687 | − | 0.141732i | ||||
\(811\) | −462.281 | −0.570013 | −0.285007 | − | 0.958526i | \(-0.591996\pi\) | ||||
−0.285007 | + | 0.958526i | \(0.591996\pi\) | |||||||
\(812\) | − | 95.2862i | − | 0.117348i | ||||||
\(813\) | −380.062 | + | 480.500i | −0.467481 | + | 0.591021i | ||||
\(814\) | −552.348 | −0.678560 | ||||||||
\(815\) | 177.737i | 0.218082i | ||||||||
\(816\) | −272.017 | − | 215.158i | −0.333354 | − | 0.263674i | ||||
\(817\) | −729.927 | −0.893424 | ||||||||
\(818\) | − | 430.158i | − | 0.525865i | ||||||
\(819\) | 8.52574 | + | 36.0272i | 0.0104099 | + | 0.0439892i | ||||
\(820\) | 227.626 | 0.277593 | ||||||||
\(821\) | 955.594i | 1.16394i | 0.813210 | + | 0.581970i | \(0.197718\pi\) | ||||
−0.813210 | + | 0.581970i | \(0.802282\pi\) | |||||||
\(822\) | 230.069 | − | 290.869i | 0.279889 | − | 0.353855i | ||||
\(823\) | −339.294 | −0.412265 | −0.206132 | − | 0.978524i | \(-0.566088\pi\) | ||||
−0.206132 | + | 0.978524i | \(0.566088\pi\) | |||||||
\(824\) | 491.416i | 0.596379i | ||||||||
\(825\) | 223.904 | + | 177.102i | 0.271399 | + | 0.214669i | ||||
\(826\) | −333.737 | −0.404039 | ||||||||
\(827\) | 1124.72i | 1.36000i | 0.733211 | + | 0.680001i | \(0.238021\pi\) | ||||
−0.733211 | + | 0.680001i | \(0.761979\pi\) | |||||||
\(828\) | −416.351 | + | 98.5285i | −0.502839 | + | 0.118996i | ||||
\(829\) | −918.780 | −1.10830 | −0.554149 | − | 0.832417i | \(-0.686956\pi\) | ||||
−0.554149 | + | 0.832417i | \(0.686956\pi\) | |||||||
\(830\) | − | 329.444i | − | 0.396921i | ||||||
\(831\) | −639.403 | + | 808.376i | −0.769438 | + | 0.972775i | ||||
\(832\) | 12.4383 | 0.0149499 | ||||||||
\(833\) | 202.313i | 0.242873i | ||||||||
\(834\) | 627.439 | + | 496.286i | 0.752325 | + | 0.595068i | ||||
\(835\) | −161.374 | −0.193262 | ||||||||
\(836\) | − | 889.074i | − | 1.06349i | ||||||
\(837\) | 192.896 | + | 90.0680i | 0.230461 | + | 0.107608i | ||||
\(838\) | 214.919 | 0.256466 | ||||||||
\(839\) | 477.085i | 0.568635i | 0.958730 | + | 0.284317i | \(0.0917670\pi\) | ||||
−0.958730 | + | 0.284317i | \(0.908233\pi\) | |||||||
\(840\) | −31.1422 | + | 39.3721i | −0.0370741 | + | 0.0468715i | ||||
\(841\) | 516.733 | 0.614427 | ||||||||
\(842\) | − | 234.051i | − | 0.277970i | ||||||
\(843\) | 945.893 | + | 748.175i | 1.12206 | + | 0.887515i | ||||
\(844\) | −584.383 | −0.692396 | ||||||||
\(845\) | 372.490i | 0.440817i | ||||||||
\(846\) | 46.2061 | + | 195.253i | 0.0546172 | + | 0.230795i | ||||
\(847\) | −638.193 | −0.753475 | ||||||||
\(848\) | 315.180i | 0.371675i | ||||||||
\(849\) | −540.198 | + | 682.954i | −0.636275 | + | 0.804422i | ||||
\(850\) | −204.367 | −0.240432 | ||||||||
\(851\) | − | 487.792i | − | 0.573198i | ||||||
\(852\) | 133.694 | + | 105.748i | 0.156918 | + | 0.124118i | ||||
\(853\) | −203.019 | −0.238006 | −0.119003 | − | 0.992894i | \(-0.537970\pi\) | ||||
−0.119003 | + | 0.992894i | \(0.537970\pi\) | |||||||
\(854\) | − | 211.086i | − | 0.247174i | ||||||
\(855\) | −457.425 | + | 108.249i | −0.535000 | + | 0.126607i | ||||
\(856\) | 265.200 | 0.309813 | ||||||||
\(857\) | − | 209.889i | − | 0.244912i | −0.992474 | − | 0.122456i | \(-0.960923\pi\) | ||
0.992474 | − | 0.122456i | \(-0.0390770\pi\) | |||||||
\(858\) | 77.8824 | − | 98.4642i | 0.0907720 | − | 0.114760i | ||||
\(859\) | 708.676 | 0.825001 | 0.412501 | − | 0.910957i | \(-0.364655\pi\) | ||||
0.412501 | + | 0.910957i | \(0.364655\pi\) | |||||||
\(860\) | − | 139.756i | − | 0.162507i | ||||||
\(861\) | 316.859 | + | 250.627i | 0.368013 | + | 0.291088i | ||||
\(862\) | −340.454 | −0.394958 | ||||||||
\(863\) | − | 996.198i | − | 1.15434i | −0.816623 | − | 0.577171i | \(-0.804156\pi\) | ||
0.816623 | − | 0.577171i | \(-0.195844\pi\) | |||||||
\(864\) | 64.6187 | − | 138.392i | 0.0747902 | − | 0.160176i | ||||
\(865\) | 526.938 | 0.609176 | ||||||||
\(866\) | − | 780.242i | − | 0.900972i | ||||||
\(867\) | 1016.76 | − | 1285.46i | 1.17273 | − | 1.48265i | ||||
\(868\) | −41.7221 | −0.0480669 | ||||||||
\(869\) | − | 1372.44i | − | 1.57933i | ||||||
\(870\) | 133.986 | + | 105.979i | 0.154007 | + | 0.121815i | ||||
\(871\) | −87.3865 | −0.100329 | ||||||||
\(872\) | 556.864i | 0.638606i | ||||||||
\(873\) | 118.478 | + | 500.650i | 0.135713 | + | 0.573482i | ||||
\(874\) | 785.163 | 0.898356 | ||||||||
\(875\) | 29.5804i | 0.0338062i | ||||||||
\(876\) | −447.605 | + | 565.892i | −0.510965 | + | 0.645996i | ||||
\(877\) | 510.287 | 0.581855 | 0.290927 | − | 0.956745i | \(-0.406036\pi\) | ||||
0.290927 | + | 0.956745i | \(0.406036\pi\) | |||||||
\(878\) | − | 121.614i | − | 0.138513i | ||||||
\(879\) | 1043.48 | + | 825.363i | 1.18712 | + | 0.938979i | ||||
\(880\) | 170.227 | 0.193440 | ||||||||
\(881\) | − | 469.010i | − | 0.532361i | −0.963923 | − | 0.266181i | \(-0.914238\pi\) | ||
0.963923 | − | 0.266181i | \(-0.0857617\pi\) | |||||||
\(882\) | −86.7008 | + | 20.5175i | −0.0983002 | + | 0.0232625i | ||||
\(883\) | −978.480 | −1.10813 | −0.554065 | − | 0.832473i | \(-0.686924\pi\) | ||||
−0.554065 | + | 0.832473i | \(0.686924\pi\) | |||||||
\(884\) | 89.8726i | 0.101666i | ||||||||
\(885\) | 371.189 | − | 469.282i | 0.419423 | − | 0.530263i | ||||
\(886\) | 575.972 | 0.650082 | ||||||||
\(887\) | − | 162.637i | − | 0.183356i | −0.995789 | − | 0.0916778i | \(-0.970777\pi\) | ||
0.995789 | − | 0.0916778i | \(-0.0292230\pi\) | |||||||
\(888\) | 136.574 | + | 108.027i | 0.153800 | + | 0.121651i | ||||
\(889\) | 37.7287 | 0.0424395 | ||||||||
\(890\) | 115.090i | 0.129315i | ||||||||
\(891\) | −690.932 | − | 1378.08i | −0.775457 | − | 1.54667i | ||||
\(892\) | 453.540 | 0.508453 | ||||||||
\(893\) | − | 368.212i | − | 0.412331i | ||||||
\(894\) | −316.783 | + | 400.499i | −0.354344 | + | 0.447985i | ||||
\(895\) | −296.519 | −0.331306 | ||||||||
\(896\) | 29.9333i | 0.0334077i | ||||||||
\(897\) | 86.9561 | + | 68.7798i | 0.0969410 | + | 0.0766776i | ||||
\(898\) | −528.738 | −0.588795 | ||||||||
\(899\) | 141.984i | 0.157935i | ||||||||
\(900\) | −20.7259 | − | 87.5810i | −0.0230287 | − | 0.0973123i | ||||
\(901\) | −2277.33 | −2.52756 | ||||||||
\(902\) | − | 1369.95i | − | 1.51879i | ||||||
\(903\) | 153.877 | − | 194.542i | 0.170407 | − | 0.215439i | ||||
\(904\) | −323.338 | −0.357675 | ||||||||
\(905\) | − | 107.168i | − | 0.118418i | ||||||
\(906\) | −138.492 | − | 109.543i | −0.152861 | − | 0.120909i | ||||
\(907\) | −446.893 | −0.492716 | −0.246358 | − | 0.969179i | \(-0.579234\pi\) | ||||
−0.246358 | + | 0.969179i | \(0.579234\pi\) | |||||||
\(908\) | 586.709i | 0.646155i | ||||||||
\(909\) | −1269.27 | + | 300.369i | −1.39633 | + | 0.330439i | ||||
\(910\) | 13.0083 | 0.0142948 | ||||||||
\(911\) | 1085.65i | 1.19171i | 0.803092 | + | 0.595855i | \(0.203187\pi\) | ||||
−0.803092 | + | 0.595855i | \(0.796813\pi\) | |||||||
\(912\) | −173.882 | + | 219.834i | −0.190661 | + | 0.241046i | ||||
\(913\) | −1982.74 | −2.17167 | ||||||||
\(914\) | − | 41.3385i | − | 0.0452281i | ||||||
\(915\) | 296.818 | + | 234.775i | 0.324392 | + | 0.256585i | ||||
\(916\) | 367.723 | 0.401444 | ||||||||
\(917\) | 227.821i | 0.248441i | ||||||||
\(918\) | 999.951 | + | 466.901i | 1.08927 | + | 0.508607i | ||||
\(919\) | 601.801 | 0.654843 | 0.327422 | − | 0.944878i | \(-0.393820\pi\) | ||||
0.327422 | + | 0.944878i | \(0.393820\pi\) | |||||||
\(920\) | 150.331i | 0.163404i | ||||||||
\(921\) | −69.8856 | + | 88.3541i | −0.0758801 | + | 0.0959328i | ||||
\(922\) | −501.155 | −0.543553 | ||||||||
\(923\) | − | 44.1717i | − | 0.0478567i | ||||||
\(924\) | 236.958 | + | 187.427i | 0.256448 | + | 0.202843i | ||||
\(925\) | 102.609 | 0.110928 | ||||||||
\(926\) | 690.142i | 0.745293i | ||||||||
\(927\) | −360.095 | − | 1521.65i | −0.388452 | − | 1.64148i | ||||
\(928\) | 101.865 | 0.109769 | ||||||||
\(929\) | − | 1434.34i | − | 1.54397i | −0.635643 | − | 0.771983i | \(-0.719265\pi\) | ||
0.635643 | − | 0.771983i | \(-0.280735\pi\) | |||||||
\(930\) | 46.4042 | − | 58.6673i | 0.0498970 | − | 0.0630832i | ||||
\(931\) | 163.502 | 0.175620 | ||||||||
\(932\) | 676.325i | 0.725671i | ||||||||
\(933\) | −313.877 | − | 248.268i | −0.336417 | − | 0.266096i | ||||
\(934\) | −566.315 | −0.606333 | ||||||||
\(935\) | 1229.97i | 1.31548i | ||||||||
\(936\) | −38.5146 | + | 9.11440i | −0.0411481 | + | 0.00973761i | ||||
\(937\) | 49.4833 | 0.0528104 | 0.0264052 | − | 0.999651i | \(-0.491594\pi\) | ||||
0.0264052 | + | 0.999651i | \(0.491594\pi\) | |||||||
\(938\) | − | 210.299i | − | 0.224200i | ||||||
\(939\) | −409.685 | + | 517.951i | −0.436299 | + | 0.551598i | ||||
\(940\) | 70.4997 | 0.0749997 | ||||||||
\(941\) | 1178.58i | 1.25248i | 0.779631 | + | 0.626239i | \(0.215406\pi\) | ||||
−0.779631 | + | 0.626239i | \(0.784594\pi\) | |||||||
\(942\) | −194.474 | − | 153.824i | −0.206448 | − | 0.163295i | ||||
\(943\) | 1209.84 | 1.28297 | ||||||||
\(944\) | − | 356.779i | − | 0.377944i | ||||||
\(945\) | 67.5799 | − | 144.734i | 0.0715131 | − | 0.153158i | ||||
\(946\) | −841.109 | −0.889122 | ||||||||
\(947\) | − | 640.256i | − | 0.676089i | −0.941130 | − | 0.338044i | \(-0.890235\pi\) | ||
0.941130 | − | 0.338044i | \(-0.109765\pi\) | |||||||
\(948\) | −268.417 | + | 339.351i | −0.283140 | + | 0.357965i | ||||
\(949\) | 186.967 | 0.197015 | ||||||||
\(950\) | 165.162i | 0.173855i | ||||||||
\(951\) | −773.380 | − | 611.722i | −0.813228 | − | 0.643241i | ||||
\(952\) | −216.282 | −0.227187 | ||||||||
\(953\) | 1270.84i | 1.33352i | 0.745273 | + | 0.666759i | \(0.232319\pi\) | ||||
−0.745273 | + | 0.666759i | \(0.767681\pi\) | |||||||
\(954\) | −230.955 | − | 975.943i | −0.242091 | − | 1.02300i | ||||
\(955\) | 411.180 | 0.430555 | ||||||||
\(956\) | − | 590.600i | − | 0.617783i | ||||||
\(957\) | 637.829 | − | 806.387i | 0.666488 | − | 0.842620i | ||||
\(958\) | 1024.41 | 1.06933 | ||||||||
\(959\) | − | 231.271i | − | 0.241159i | ||||||
\(960\) | −42.0905 | − | 33.2924i | −0.0438443 | − | 0.0346796i | ||||
\(961\) | −898.831 | −0.935308 | ||||||||
\(962\) | − | 45.1233i | − | 0.0469057i | ||||||
\(963\) | −821.179 | + | 194.330i | −0.852730 | + | 0.201797i | ||||
\(964\) | 449.844 | 0.466643 | ||||||||
\(965\) | − | 240.951i | − | 0.249690i | ||||||
\(966\) | −165.521 | + | 209.263i | −0.171347 | + | 0.216629i | ||||
\(967\) | 201.964 | 0.208856 | 0.104428 | − | 0.994532i | \(-0.466699\pi\) | ||||
0.104428 | + | 0.994532i | \(0.466699\pi\) | |||||||
\(968\) | − | 682.258i | − | 0.704811i | ||||||
\(969\) | −1588.41 | − | 1256.38i | −1.63922 | − | 1.29658i | ||||
\(970\) | 180.769 | 0.186360 | ||||||||
\(971\) | 900.525i | 0.927420i | 0.885987 | + | 0.463710i | \(0.153482\pi\) | ||||
−0.885987 | + | 0.463710i | \(0.846518\pi\) | |||||||
\(972\) | −98.6795 | + | 475.876i | −0.101522 | + | 0.489585i | ||||
\(973\) | 498.880 | 0.512723 | ||||||||
\(974\) | 703.138i | 0.721908i | ||||||||
\(975\) | −14.4681 | + | 18.2915i | −0.0148391 | + | 0.0187606i | ||||
\(976\) | 225.661 | 0.231210 | ||||||||
\(977\) | 820.874i | 0.840199i | 0.907478 | + | 0.420099i | \(0.138005\pi\) | ||||
−0.907478 | + | 0.420099i | \(0.861995\pi\) | |||||||
\(978\) | −264.494 | − | 209.208i | −0.270444 | − | 0.213914i | ||||
\(979\) | 692.661 | 0.707519 | ||||||||
\(980\) | 31.3050i | 0.0319438i | ||||||||
\(981\) | −408.053 | − | 1724.31i | −0.415956 | − | 1.75770i | ||||
\(982\) | −735.956 | −0.749446 | ||||||||
\(983\) | − | 1354.26i | − | 1.37768i | −0.724914 | − | 0.688840i | \(-0.758120\pi\) | ||
0.724914 | − | 0.688840i | \(-0.241880\pi\) | |||||||
\(984\) | −267.931 | + | 338.737i | −0.272288 | + | 0.344245i | ||||
\(985\) | −664.663 | −0.674785 | ||||||||
\(986\) | 736.025i | 0.746476i | ||||||||
\(987\) | 98.1366 | + | 77.6233i | 0.0994291 | + | 0.0786457i | ||||
\(988\) | 72.6317 | 0.0735138 | ||||||||
\(989\) | − | 742.804i | − | 0.751065i | ||||||
\(990\) | −527.100 | + | 124.737i | −0.532424 | + | 0.125997i | ||||
\(991\) | 1289.97 | 1.30168 | 0.650841 | − | 0.759214i | \(-0.274416\pi\) | ||||
0.650841 | + | 0.759214i | \(0.274416\pi\) | |||||||
\(992\) | − | 44.6028i | − | 0.0449625i | ||||||
\(993\) | 819.254 | − | 1035.76i | 0.825030 | − | 1.04306i | ||||
\(994\) | 106.301 | 0.106943 | ||||||||
\(995\) | − | 552.055i | − | 0.554829i | ||||||
\(996\) | 490.254 | + | 387.777i | 0.492223 | + | 0.389335i | ||||
\(997\) | −757.496 | −0.759775 | −0.379888 | − | 0.925033i | \(-0.624037\pi\) | ||||
−0.379888 | + | 0.925033i | \(0.624037\pi\) | |||||||
\(998\) | − | 913.528i | − | 0.915358i | ||||||
\(999\) | −502.055 | − | 234.422i | −0.502558 | − | 0.234657i |
(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 | 210.3.e.a.71.3 | ✓ | 16 | |
3.2 | odd | 2 | inner | 210.3.e.a.71.11 | yes | 16 | |
4.3 | odd | 2 | 1680.3.l.c.1121.11 | 16 | |||
5.2 | odd | 4 | 1050.3.c.c.449.28 | 32 | |||
5.3 | odd | 4 | 1050.3.c.c.449.5 | 32 | |||
5.4 | even | 2 | 1050.3.e.d.701.14 | 16 | |||
12.11 | even | 2 | 1680.3.l.c.1121.12 | 16 | |||
15.2 | even | 4 | 1050.3.c.c.449.6 | 32 | |||
15.8 | even | 4 | 1050.3.c.c.449.27 | 32 | |||
15.14 | odd | 2 | 1050.3.e.d.701.6 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.e.a.71.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
210.3.e.a.71.11 | yes | 16 | 3.2 | odd | 2 | inner | |
1050.3.c.c.449.5 | 32 | 5.3 | odd | 4 | |||
1050.3.c.c.449.6 | 32 | 15.2 | even | 4 | |||
1050.3.c.c.449.27 | 32 | 15.8 | even | 4 | |||
1050.3.c.c.449.28 | 32 | 5.2 | odd | 4 | |||
1050.3.e.d.701.6 | 16 | 15.14 | odd | 2 | |||
1050.3.e.d.701.14 | 16 | 5.4 | even | 2 | |||
1680.3.l.c.1121.11 | 16 | 4.3 | odd | 2 | |||
1680.3.l.c.1121.12 | 16 | 12.11 | even | 2 |