Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,3,Mod(7,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 28]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.n (of order \(30\), degree \(8\), 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: | \(3.37875527807\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 7.12 | ||
Character | \(\chi\) | \(=\) | 124.7 |
Dual form | 124.3.n.a.71.12 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.673616 | − | 1.88315i | −0.336808 | − | 0.941573i | ||||
\(3\) | −0.736057 | − | 3.46287i | −0.245352 | − | 1.15429i | −0.912407 | − | 0.409283i | \(-0.865779\pi\) |
0.667055 | − | 0.745008i | \(-0.267554\pi\) | |||||||
\(4\) | −3.09248 | + | 2.53704i | −0.773121 | + | 0.634259i | ||||
\(5\) | 3.42633 | − | 5.93457i | 0.685265 | − | 1.18691i | −0.288088 | − | 0.957604i | \(-0.593020\pi\) |
0.973353 | − | 0.229311i | \(-0.0736471\pi\) | |||||||
\(6\) | −6.02528 | + | 3.71875i | −1.00421 | + | 0.619792i | ||||
\(7\) | 2.34572 | − | 5.26857i | 0.335102 | − | 0.752652i | −0.664881 | − | 0.746949i | \(-0.731518\pi\) |
0.999984 | − | 0.00570327i | \(-0.00181542\pi\) | |||||||
\(8\) | 6.86076 | + | 4.11461i | 0.857595 | + | 0.514326i | ||||
\(9\) | −3.22781 | + | 1.43711i | −0.358645 | + | 0.159679i | ||||
\(10\) | −13.4837 | − | 2.45465i | −1.34837 | − | 0.245465i | ||||
\(11\) | −21.1181 | + | 2.21960i | −1.91983 | + | 0.201782i | −0.987248 | − | 0.159189i | \(-0.949112\pi\) |
−0.932577 | + | 0.360971i | \(0.882445\pi\) | |||||||
\(12\) | 11.0617 | + | 8.84147i | 0.921806 | + | 0.736790i | ||||
\(13\) | 11.1195 | + | 12.3495i | 0.855349 | + | 0.949961i | 0.999214 | − | 0.0396362i | \(-0.0126199\pi\) |
−0.143865 | + | 0.989597i | \(0.545953\pi\) | |||||||
\(14\) | −11.5016 | − | 0.868338i | −0.821542 | − | 0.0620241i | ||||
\(15\) | −23.0726 | − | 7.49676i | −1.53818 | − | 0.499784i | ||||
\(16\) | 3.12690 | − | 15.6915i | 0.195431 | − | 0.980717i | ||||
\(17\) | −0.527025 | + | 5.01431i | −0.0310015 | + | 0.294959i | 0.968025 | + | 0.250852i | \(0.0807109\pi\) |
−0.999027 | + | 0.0441070i | \(0.985956\pi\) | |||||||
\(18\) | 4.88059 | + | 5.11037i | 0.271144 | + | 0.283909i | ||||
\(19\) | 15.8066 | + | 14.2323i | 0.831928 | + | 0.749071i | 0.970454 | − | 0.241288i | \(-0.0775698\pi\) |
−0.138526 | + | 0.990359i | \(0.544236\pi\) | |||||||
\(20\) | 4.46037 | + | 27.0453i | 0.223018 | + | 1.35226i | ||||
\(21\) | −19.9710 | − | 4.24496i | −0.950998 | − | 0.202141i | ||||
\(22\) | 18.4053 | + | 38.2733i | 0.836605 | + | 1.73969i | ||||
\(23\) | 4.49597 | − | 6.18817i | 0.195477 | − | 0.269051i | −0.700016 | − | 0.714128i | \(-0.746824\pi\) |
0.895492 | + | 0.445077i | \(0.146824\pi\) | |||||||
\(24\) | 9.19847 | − | 26.7865i | 0.383270 | − | 1.11610i | ||||
\(25\) | −10.9794 | − | 19.0169i | −0.439177 | − | 0.760677i | ||||
\(26\) | 15.7656 | − | 29.2585i | 0.606370 | − | 1.12533i | ||||
\(27\) | −11.3757 | − | 15.6573i | −0.421322 | − | 0.579901i | ||||
\(28\) | 6.11245 | + | 22.2441i | 0.218302 | + | 0.794433i | ||||
\(29\) | −15.4208 | − | 47.4604i | −0.531752 | − | 1.63656i | −0.750564 | − | 0.660797i | \(-0.770218\pi\) |
0.218813 | − | 0.975767i | \(-0.429782\pi\) | |||||||
\(30\) | 1.42461 | + | 48.4991i | 0.0474871 | + | 1.61664i | ||||
\(31\) | 28.2018 | − | 12.8707i | 0.909737 | − | 0.415185i | ||||
\(32\) | −31.6557 | + | 4.68162i | −0.989240 | + | 0.146301i | ||||
\(33\) | 23.2303 | + | 71.4955i | 0.703948 | + | 2.16653i | ||||
\(34\) | 9.79769 | − | 2.38525i | 0.288167 | − | 0.0701545i | ||||
\(35\) | −23.2295 | − | 31.9727i | −0.663700 | − | 0.913504i | ||||
\(36\) | 6.33593 | − | 12.6333i | 0.175998 | − | 0.350925i | ||||
\(37\) | −2.79489 | − | 4.84089i | −0.0755375 | − | 0.130835i | 0.825782 | − | 0.563989i | \(-0.190734\pi\) |
−0.901320 | + | 0.433154i | \(0.857401\pi\) | |||||||
\(38\) | 16.1540 | − | 39.3533i | 0.425105 | − | 1.03561i | ||||
\(39\) | 34.5801 | − | 47.5955i | 0.886670 | − | 1.22040i | ||||
\(40\) | 47.9256 | − | 26.6177i | 1.19814 | − | 0.665441i | ||||
\(41\) | 7.97361 | + | 1.69484i | 0.194478 | + | 0.0413377i | 0.304121 | − | 0.952633i | \(-0.401637\pi\) |
−0.109643 | + | 0.993971i | \(0.534971\pi\) | |||||||
\(42\) | 5.45888 | + | 40.4677i | 0.129973 | + | 0.963517i | ||||
\(43\) | −24.3448 | − | 21.9201i | −0.566158 | − | 0.509771i | 0.335605 | − | 0.942003i | \(-0.391059\pi\) |
−0.901762 | + | 0.432232i | \(0.857726\pi\) | |||||||
\(44\) | 59.6761 | − | 60.4414i | 1.35627 | − | 1.37367i | ||||
\(45\) | −2.53087 | + | 24.0797i | −0.0562416 | + | 0.535103i | ||||
\(46\) | −14.6818 | − | 4.29812i | −0.319169 | − | 0.0934373i | ||||
\(47\) | 72.1870 | + | 23.4550i | 1.53589 | + | 0.499042i | 0.950240 | − | 0.311519i | \(-0.100838\pi\) |
0.585654 | + | 0.810561i | \(0.300838\pi\) | |||||||
\(48\) | −56.6392 | + | 0.721760i | −1.17998 | + | 0.0150367i | ||||
\(49\) | 10.5320 | + | 11.6970i | 0.214939 | + | 0.238714i | ||||
\(50\) | −28.4158 | + | 33.4860i | −0.568315 | + | 0.669720i | ||||
\(51\) | 17.7518 | − | 1.86579i | 0.348075 | − | 0.0365842i | ||||
\(52\) | −65.7181 | − | 9.97994i | −1.26381 | − | 0.191922i | ||||
\(53\) | −10.4363 | + | 4.64654i | −0.196911 | + | 0.0876705i | −0.502823 | − | 0.864389i | \(-0.667705\pi\) |
0.305912 | + | 0.952060i | \(0.401039\pi\) | |||||||
\(54\) | −21.8222 | + | 31.9691i | −0.404114 | + | 0.592021i | ||||
\(55\) | −59.1851 | + | 132.932i | −1.07609 | + | 2.41694i | ||||
\(56\) | 37.7715 | − | 26.4946i | 0.674491 | − | 0.473119i | ||||
\(57\) | 37.6503 | − | 65.2122i | 0.660531 | − | 1.14407i | ||||
\(58\) | −78.9871 | + | 61.0097i | −1.36185 | + | 1.05189i | ||||
\(59\) | −0.326174 | − | 1.53453i | −0.00552838 | − | 0.0260090i | 0.975297 | − | 0.220898i | \(-0.0708987\pi\) |
−0.980825 | + | 0.194889i | \(0.937565\pi\) | |||||||
\(60\) | 90.3713 | − | 35.3525i | 1.50619 | − | 0.589209i | ||||
\(61\) | −20.6575 | −0.338647 | −0.169324 | − | 0.985561i | \(-0.554158\pi\) | ||||
−0.169324 | + | 0.985561i | \(0.554158\pi\) | |||||||
\(62\) | −43.2347 | − | 44.4383i | −0.697334 | − | 0.716747i | ||||
\(63\) | 20.3770i | 0.323444i | ||||||||
\(64\) | 30.1400 | + | 56.4587i | 0.470937 | + | 0.882167i | ||||
\(65\) | 111.388 | − | 23.6763i | 1.71366 | − | 0.364250i | ||||
\(66\) | 118.988 | − | 91.9066i | 1.80285 | − | 1.39252i | ||||
\(67\) | 59.0247 | + | 34.0779i | 0.880966 | + | 0.508626i | 0.870977 | − | 0.491324i | \(-0.163487\pi\) |
0.00998923 | + | 0.999950i | \(0.496820\pi\) | |||||||
\(68\) | −11.0917 | − | 16.8438i | −0.163113 | − | 0.247702i | ||||
\(69\) | −24.7381 | − | 11.0141i | −0.358524 | − | 0.159625i | ||||
\(70\) | −44.5614 | + | 65.2818i | −0.636592 | + | 0.932598i | ||||
\(71\) | 14.4569 | + | 32.4708i | 0.203619 | + | 0.457335i | 0.986273 | − | 0.165121i | \(-0.0528015\pi\) |
−0.782654 | + | 0.622456i | \(0.786135\pi\) | |||||||
\(72\) | −28.0583 | − | 3.42149i | −0.389699 | − | 0.0475207i | ||||
\(73\) | −11.1730 | − | 106.304i | −0.153055 | − | 1.45622i | −0.753971 | − | 0.656908i | \(-0.771864\pi\) |
0.600916 | − | 0.799312i | \(-0.294803\pi\) | |||||||
\(74\) | −7.23342 | + | 8.52408i | −0.0977489 | + | 0.115190i | ||||
\(75\) | −57.7718 | + | 52.0179i | −0.770290 | + | 0.693572i | ||||
\(76\) | −84.9897 | − | 3.91132i | −1.11829 | − | 0.0514647i | ||||
\(77\) | −37.8429 | + | 116.469i | −0.491467 | + | 1.51258i | ||||
\(78\) | −112.923 | − | 33.0584i | −1.44773 | − | 0.423825i | ||||
\(79\) | −51.7623 | − | 5.44044i | −0.655219 | − | 0.0688663i | −0.228915 | − | 0.973446i | \(-0.573518\pi\) |
−0.426304 | + | 0.904580i | \(0.640185\pi\) | |||||||
\(80\) | −82.4084 | − | 72.3209i | −1.03011 | − | 0.904012i | ||||
\(81\) | −67.1241 | + | 74.5489i | −0.828693 | + | 0.920357i | ||||
\(82\) | −2.17951 | − | 16.1572i | −0.0265795 | − | 0.197039i | ||||
\(83\) | 9.63193 | − | 45.3147i | 0.116047 | − | 0.545960i | −0.881260 | − | 0.472631i | \(-0.843304\pi\) |
0.997308 | − | 0.0733290i | \(-0.0233623\pi\) | |||||||
\(84\) | 72.5294 | − | 37.5396i | 0.863446 | − | 0.446900i | ||||
\(85\) | 27.9520 | + | 20.3083i | 0.328847 | + | 0.238922i | ||||
\(86\) | −24.8798 | + | 60.6106i | −0.289300 | + | 0.704774i | ||||
\(87\) | −152.999 | + | 88.3338i | −1.75861 | + | 1.01533i | ||||
\(88\) | −154.019 | − | 71.6645i | −1.75021 | − | 0.814370i | ||||
\(89\) | 19.2011 | − | 13.9504i | 0.215742 | − | 0.156746i | −0.474666 | − | 0.880166i | \(-0.657431\pi\) |
0.690408 | + | 0.723420i | \(0.257431\pi\) | |||||||
\(90\) | 47.0504 | − | 11.4544i | 0.522782 | − | 0.127272i | ||||
\(91\) | 91.1474 | − | 29.6156i | 1.00162 | − | 0.325446i | ||||
\(92\) | 1.79590 | + | 30.5432i | 0.0195207 | + | 0.331992i | ||||
\(93\) | −65.3279 | − | 88.1858i | −0.702450 | − | 0.948235i | ||||
\(94\) | −4.45716 | − | 151.738i | −0.0474166 | − | 1.61424i | ||||
\(95\) | 138.622 | − | 45.0409i | 1.45917 | − | 0.474114i | ||||
\(96\) | 39.5122 | + | 106.174i | 0.411586 | + | 1.10598i | ||||
\(97\) | −33.1115 | + | 24.0569i | −0.341356 | + | 0.248009i | −0.745234 | − | 0.666804i | \(-0.767662\pi\) |
0.403878 | + | 0.914813i | \(0.367662\pi\) | |||||||
\(98\) | 14.9326 | − | 27.7126i | 0.152373 | − | 0.282781i | ||||
\(99\) | 64.9752 | − | 37.5135i | 0.656315 | − | 0.378924i | ||||
\(100\) | 82.2004 | + | 30.9543i | 0.822004 | + | 0.309543i | ||||
\(101\) | −27.4429 | − | 19.9385i | −0.271712 | − | 0.197411i | 0.443582 | − | 0.896234i | \(-0.353707\pi\) |
−0.715294 | + | 0.698823i | \(0.753707\pi\) | |||||||
\(102\) | −15.4715 | − | 32.1725i | −0.151681 | − | 0.315417i | ||||
\(103\) | −21.6739 | + | 101.968i | −0.210426 | + | 0.989979i | 0.738444 | + | 0.674314i | \(0.235561\pi\) |
−0.948871 | + | 0.315664i | \(0.897773\pi\) | |||||||
\(104\) | 25.4751 | + | 130.479i | 0.244953 | + | 1.25461i | ||||
\(105\) | −93.6190 | + | 103.974i | −0.891610 | + | 0.990233i | ||||
\(106\) | 15.7802 | + | 16.5231i | 0.148869 | + | 0.155878i | ||||
\(107\) | −60.7723 | − | 6.38742i | −0.567965 | − | 0.0596955i | −0.183806 | − | 0.982963i | \(-0.558842\pi\) |
−0.384159 | + | 0.923267i | \(0.625509\pi\) | |||||||
\(108\) | 74.9023 | + | 19.5594i | 0.693540 | + | 0.181106i | ||||
\(109\) | −18.3200 | + | 56.3831i | −0.168073 | + | 0.517276i | −0.999250 | − | 0.0387326i | \(-0.987668\pi\) |
0.831176 | + | 0.556009i | \(0.187668\pi\) | |||||||
\(110\) | 290.198 | + | 21.9091i | 2.63817 | + | 0.199174i | ||||
\(111\) | −14.7062 | + | 13.2415i | −0.132488 | + | 0.119293i | ||||
\(112\) | −75.3368 | − | 53.2820i | −0.672650 | − | 0.475732i | ||||
\(113\) | −0.758754 | − | 7.21906i | −0.00671464 | − | 0.0638855i | 0.990651 | − | 0.136417i | \(-0.0435588\pi\) |
−0.997366 | + | 0.0725318i | \(0.976892\pi\) | |||||||
\(114\) | −148.166 | − | 26.9730i | −1.29970 | − | 0.236605i | ||||
\(115\) | −21.3195 | − | 47.8843i | −0.185387 | − | 0.416385i | ||||
\(116\) | 168.097 | + | 107.647i | 1.44911 | + | 0.927993i | ||||
\(117\) | −53.6393 | − | 23.8818i | −0.458455 | − | 0.204118i | ||||
\(118\) | −2.67003 | + | 1.64792i | −0.0226274 | + | 0.0139654i | ||||
\(119\) | 25.1820 | + | 14.5388i | 0.211613 | + | 0.122175i | ||||
\(120\) | −127.450 | − | 146.368i | −1.06208 | − | 1.21974i | ||||
\(121\) | 322.691 | − | 68.5900i | 2.66687 | − | 0.566860i | ||||
\(122\) | 13.9152 | + | 38.9011i | 0.114059 | + | 0.318861i | ||||
\(123\) | − | 28.8591i | − | 0.234627i | ||||||
\(124\) | −54.5602 | + | 111.352i | −0.440002 | + | 0.897997i | ||||
\(125\) | 20.8398 | 0.166719 | ||||||||
\(126\) | 38.3728 | − | 13.7262i | 0.304546 | − | 0.108938i | ||||
\(127\) | 18.0978 | + | 85.1432i | 0.142502 | + | 0.670419i | 0.990167 | + | 0.139888i | \(0.0446742\pi\) |
−0.847665 | + | 0.530531i | \(0.821992\pi\) | |||||||
\(128\) | 86.0172 | − | 94.7894i | 0.672009 | − | 0.740543i | ||||
\(129\) | −57.9875 | + | 100.437i | −0.449516 | + | 0.778584i | ||||
\(130\) | −119.619 | − | 193.811i | −0.920144 | − | 1.49086i | ||||
\(131\) | 47.1464 | − | 105.893i | 0.359897 | − | 0.808341i | −0.639327 | − | 0.768935i | \(-0.720787\pi\) |
0.999223 | − | 0.0394057i | \(-0.0125465\pi\) | |||||||
\(132\) | −253.226 | − | 162.162i | −1.91838 | − | 1.22850i | ||||
\(133\) | 112.062 | − | 49.8932i | 0.842571 | − | 0.375137i | ||||
\(134\) | 24.4138 | − | 134.108i | 0.182192 | − | 1.00080i | ||||
\(135\) | −131.896 | + | 13.8629i | −0.977010 | + | 0.102688i | ||||
\(136\) | −24.2477 | + | 32.2335i | −0.178292 | + | 0.237011i | ||||
\(137\) | 124.964 | + | 138.786i | 0.912144 | + | 1.01304i | 0.999857 | + | 0.0168927i | \(0.00537736\pi\) |
−0.0877134 | + | 0.996146i | \(0.527956\pi\) | |||||||
\(138\) | −4.07721 | + | 54.0048i | −0.0295450 | + | 0.391339i | ||||
\(139\) | 188.704 | + | 61.3137i | 1.35758 | + | 0.441106i | 0.895236 | − | 0.445593i | \(-0.147007\pi\) |
0.462348 | + | 0.886699i | \(0.347007\pi\) | |||||||
\(140\) | 152.953 | + | 39.9408i | 1.09252 | + | 0.285292i | ||||
\(141\) | 28.0879 | − | 267.239i | 0.199205 | − | 1.89531i | ||||
\(142\) | 51.4089 | − | 49.0974i | 0.362034 | − | 0.345756i | ||||
\(143\) | −262.234 | − | 236.117i | −1.83381 | − | 1.65117i | ||||
\(144\) | 12.4574 | + | 55.1427i | 0.0865096 | + | 0.382936i | ||||
\(145\) | −334.494 | − | 71.0988i | −2.30685 | − | 0.490337i | ||||
\(146\) | −192.660 | + | 92.6486i | −1.31959 | + | 0.634579i | ||||
\(147\) | 32.7530 | − | 45.0806i | 0.222809 | − | 0.306671i | ||||
\(148\) | 20.9246 | + | 7.87963i | 0.141383 | + | 0.0532407i | ||||
\(149\) | −120.025 | − | 207.889i | −0.805534 | − | 1.39523i | −0.915930 | − | 0.401339i | \(-0.868545\pi\) |
0.110395 | − | 0.993888i | \(-0.464788\pi\) | |||||||
\(150\) | 136.873 | + | 73.7526i | 0.912489 | + | 0.491684i | ||||
\(151\) | 116.028 | + | 159.699i | 0.768396 | + | 1.05761i | 0.996469 | + | 0.0839621i | \(0.0267575\pi\) |
−0.228073 | + | 0.973644i | \(0.573243\pi\) | |||||||
\(152\) | 49.8848 | + | 162.683i | 0.328190 | + | 1.07028i | ||||
\(153\) | −5.50499 | − | 16.9426i | −0.0359803 | − | 0.110736i | ||||
\(154\) | 244.819 | − | 7.19131i | 1.58973 | − | 0.0466968i | ||||
\(155\) | 20.2465 | − | 211.465i | 0.130622 | − | 1.36429i | ||||
\(156\) | 13.8129 | + | 234.919i | 0.0885445 | + | 1.50589i | ||||
\(157\) | 56.7323 | + | 174.604i | 0.361353 | + | 1.11213i | 0.952234 | + | 0.305370i | \(0.0987802\pi\) |
−0.590881 | + | 0.806759i | \(0.701220\pi\) | |||||||
\(158\) | 24.6228 | + | 101.141i | 0.155840 | + | 0.640131i | ||||
\(159\) | 23.7721 | + | 32.7194i | 0.149510 | + | 0.205783i | ||||
\(160\) | −80.6793 | + | 203.904i | −0.504246 | + | 1.27440i | ||||
\(161\) | −22.0565 | − | 38.2030i | −0.136997 | − | 0.237286i | ||||
\(162\) | 185.602 | + | 76.1872i | 1.14569 | + | 0.470292i | ||||
\(163\) | 57.6825 | − | 79.3932i | 0.353880 | − | 0.487075i | −0.594551 | − | 0.804058i | \(-0.702670\pi\) |
0.948431 | + | 0.316984i | \(0.102670\pi\) | |||||||
\(164\) | −28.9581 | + | 14.9881i | −0.176574 | + | 0.0913907i | ||||
\(165\) | 503.890 | + | 107.105i | 3.05388 | + | 0.649122i | ||||
\(166\) | −91.8224 | + | 12.3864i | −0.553147 | + | 0.0746166i | ||||
\(167\) | 146.533 | + | 131.939i | 0.877444 | + | 0.790054i | 0.978805 | − | 0.204795i | \(-0.0656529\pi\) |
−0.101361 | + | 0.994850i | \(0.532320\pi\) | |||||||
\(168\) | −119.550 | − | 111.296i | −0.711604 | − | 0.662478i | ||||
\(169\) | −11.2006 | + | 106.567i | −0.0662760 | + | 0.630574i | ||||
\(170\) | 19.4146 | − | 66.3178i | 0.114204 | − | 0.390105i | ||||
\(171\) | −71.4742 | − | 23.2234i | −0.417978 | − | 0.135809i | ||||
\(172\) | 130.898 | + | 6.02407i | 0.761035 | + | 0.0350237i | ||||
\(173\) | 15.2146 | + | 16.8975i | 0.0879455 | + | 0.0976733i | 0.785511 | − | 0.618848i | \(-0.212400\pi\) |
−0.697566 | + | 0.716521i | \(0.745733\pi\) | |||||||
\(174\) | 269.408 | + | 228.616i | 1.54832 | + | 1.31388i | ||||
\(175\) | −125.947 | + | 13.2375i | −0.719695 | + | 0.0756430i | ||||
\(176\) | −31.2053 | + | 338.314i | −0.177303 | + | 1.92224i | ||||
\(177\) | −5.07380 | + | 2.25900i | −0.0286655 | + | 0.0127627i | ||||
\(178\) | −39.2048 | − | 26.7612i | −0.220252 | − | 0.150344i | ||||
\(179\) | 73.2462 | − | 164.514i | 0.409197 | − | 0.919071i | −0.584954 | − | 0.811067i | \(-0.698887\pi\) |
0.994150 | − | 0.108004i | \(-0.0344460\pi\) | |||||||
\(180\) | −53.2643 | − | 80.8868i | −0.295913 | − | 0.449371i | ||||
\(181\) | −138.141 | + | 239.268i | −0.763211 | + | 1.32192i | 0.177976 | + | 0.984035i | \(0.443045\pi\) |
−0.941187 | + | 0.337885i | \(0.890288\pi\) | |||||||
\(182\) | −117.169 | − | 151.694i | −0.643785 | − | 0.833486i | ||||
\(183\) | 15.2051 | + | 71.5342i | 0.0830878 | + | 0.390898i | ||||
\(184\) | 56.3076 | − | 23.9564i | 0.306020 | − | 0.130198i | ||||
\(185\) | −38.3048 | −0.207053 | ||||||||
\(186\) | −122.061 | + | 182.425i | −0.656242 | + | 0.980782i | ||||
\(187\) | − | 107.062i | − | 0.572526i | ||||||
\(188\) | −282.743 | + | 110.607i | −1.50395 | + | 0.588334i | ||||
\(189\) | −109.176 | + | 23.2060i | −0.577650 | + | 0.122783i | ||||
\(190\) | −178.196 | − | 230.704i | −0.937875 | − | 1.21423i | ||||
\(191\) | −42.8910 | − | 24.7631i | −0.224560 | − | 0.129650i | 0.383500 | − | 0.923541i | \(-0.374719\pi\) |
−0.608060 | + | 0.793891i | \(0.708052\pi\) | |||||||
\(192\) | 173.325 | − | 145.928i | 0.902732 | − | 0.760040i | ||||
\(193\) | −164.253 | − | 73.1300i | −0.851050 | − | 0.378912i | −0.0656070 | − | 0.997846i | \(-0.520898\pi\) |
−0.785443 | + | 0.618933i | \(0.787565\pi\) | |||||||
\(194\) | 67.6071 | + | 46.1487i | 0.348490 | + | 0.237880i | ||||
\(195\) | −163.976 | − | 368.296i | −0.840902 | − | 1.88870i | ||||
\(196\) | −62.2457 | − | 9.45262i | −0.317580 | − | 0.0482277i | ||||
\(197\) | 21.8790 | + | 208.164i | 0.111061 | + | 1.05667i | 0.898107 | + | 0.439778i | \(0.144943\pi\) |
−0.787046 | + | 0.616895i | \(0.788390\pi\) | |||||||
\(198\) | −114.412 | − | 97.0882i | −0.577837 | − | 0.490345i | ||||
\(199\) | 126.939 | − | 114.297i | 0.637887 | − | 0.574356i | −0.285428 | − | 0.958400i | \(-0.592136\pi\) |
0.923315 | + | 0.384044i | \(0.125469\pi\) | |||||||
\(200\) | 2.92006 | − | 175.647i | 0.0146003 | − | 0.878233i | ||||
\(201\) | 74.5621 | − | 229.478i | 0.370956 | − | 1.14168i | ||||
\(202\) | −19.0610 | + | 65.1100i | −0.0943616 | + | 0.322327i | ||||
\(203\) | −286.221 | − | 30.0830i | −1.40995 | − | 0.148192i | ||||
\(204\) | −50.1637 | + | 50.8070i | −0.245900 | + | 0.249054i | ||||
\(205\) | 37.3784 | − | 41.5129i | 0.182334 | − | 0.202502i | ||||
\(206\) | 206.620 | − | 27.8720i | 1.00301 | − | 0.135301i | ||||
\(207\) | −5.61902 | + | 26.4354i | −0.0271450 | + | 0.127707i | ||||
\(208\) | 228.551 | − | 135.866i | 1.09881 | − | 0.653203i | ||||
\(209\) | −365.396 | − | 265.475i | −1.74830 | − | 1.27022i | ||||
\(210\) | 258.862 | + | 106.259i | 1.23268 | + | 0.505998i | ||||
\(211\) | −190.849 | + | 110.187i | −0.904498 | + | 0.522212i | −0.878657 | − | 0.477454i | \(-0.841560\pi\) |
−0.0258415 | + | 0.999666i | \(0.508227\pi\) | |||||||
\(212\) | 20.4856 | − | 40.8466i | 0.0966303 | − | 0.192673i | ||||
\(213\) | 101.801 | − | 73.9629i | 0.477940 | − | 0.347244i | ||||
\(214\) | 28.9087 | + | 118.746i | 0.135087 | + | 0.554887i | ||||
\(215\) | −213.500 | + | 69.3703i | −0.993023 | + | 0.322653i | ||||
\(216\) | −13.6222 | − | 154.228i | −0.0630657 | − | 0.714017i | ||||
\(217\) | −1.65676 | − | 178.774i | −0.00763484 | − | 0.823845i | ||||
\(218\) | 118.518 | − | 3.48136i | 0.543662 | − | 0.0159695i | ||||
\(219\) | −359.894 | + | 116.937i | −1.64335 | + | 0.533957i | ||||
\(220\) | −154.224 | − | 561.244i | −0.701018 | − | 2.55111i | ||||
\(221\) | −67.7845 | + | 49.2483i | −0.306717 | + | 0.222843i | ||||
\(222\) | 34.8420 | + | 18.7742i | 0.156946 | + | 0.0845685i | ||||
\(223\) | −180.358 | + | 104.130i | −0.808781 | + | 0.466950i | −0.846532 | − | 0.532337i | \(-0.821314\pi\) |
0.0377516 | + | 0.999287i | \(0.487980\pi\) | |||||||
\(224\) | −49.5898 | + | 177.762i | −0.221383 | + | 0.793580i | ||||
\(225\) | 62.7689 | + | 45.6043i | 0.278973 | + | 0.202686i | ||||
\(226\) | −13.0834 | + | 6.29172i | −0.0578913 | + | 0.0278395i | ||||
\(227\) | −60.4654 | + | 284.467i | −0.266367 | + | 1.25316i | 0.617929 | + | 0.786234i | \(0.287972\pi\) |
−0.884296 | + | 0.466926i | \(0.845361\pi\) | |||||||
\(228\) | 49.0128 | + | 297.188i | 0.214968 | + | 1.30345i | ||||
\(229\) | 57.0135 | − | 63.3199i | 0.248967 | − | 0.276506i | −0.605688 | − | 0.795702i | \(-0.707102\pi\) |
0.854655 | + | 0.519196i | \(0.173769\pi\) | |||||||
\(230\) | −75.8121 | + | 72.4034i | −0.329618 | + | 0.314797i | ||||
\(231\) | 431.170 | + | 45.3178i | 1.86654 | + | 0.196181i | ||||
\(232\) | 89.4825 | − | 389.065i | 0.385700 | − | 1.67700i | ||||
\(233\) | −87.9802 | + | 270.775i | −0.377597 | + | 1.16212i | 0.564112 | + | 0.825698i | \(0.309218\pi\) |
−0.941710 | + | 0.336427i | \(0.890782\pi\) | |||||||
\(234\) | −8.84055 | + | 117.098i | −0.0377801 | + | 0.500418i | ||||
\(235\) | 386.532 | − | 348.035i | 1.64481 | − | 1.48100i | ||||
\(236\) | 4.90185 | + | 3.91799i | 0.0207705 | + | 0.0166017i | ||||
\(237\) | 19.2604 | + | 183.251i | 0.0812676 | + | 0.773210i | ||||
\(238\) | 10.4157 | − | 57.2149i | 0.0437636 | − | 0.240399i | ||||
\(239\) | 43.5894 | + | 97.9034i | 0.182382 | + | 0.409638i | 0.981480 | − | 0.191563i | \(-0.0613558\pi\) |
−0.799098 | + | 0.601201i | \(0.794689\pi\) | |||||||
\(240\) | −189.781 | + | 338.602i | −0.790754 | + | 1.41084i | ||||
\(241\) | −9.82091 | − | 4.37255i | −0.0407506 | − | 0.0181434i | 0.386260 | − | 0.922390i | \(-0.373767\pi\) |
−0.427011 | + | 0.904247i | \(0.640433\pi\) | |||||||
\(242\) | −346.535 | − | 561.471i | −1.43196 | − | 2.32013i | ||||
\(243\) | 156.715 | + | 90.4794i | 0.644917 | + | 0.372343i | ||||
\(244\) | 63.8829 | − | 52.4088i | 0.261815 | − | 0.214790i | ||||
\(245\) | 105.503 | − | 22.4253i | 0.430623 | − | 0.0915317i | ||||
\(246\) | −54.3460 | + | 19.4400i | −0.220919 | + | 0.0790243i | ||||
\(247\) | 353.461i | 1.43102i | ||||||||
\(248\) | 246.444 | + | 27.7366i | 0.993726 | + | 0.111841i | ||||
\(249\) | −164.009 | −0.658669 | ||||||||
\(250\) | −14.0381 | − | 39.2445i | −0.0561522 | − | 0.156978i | ||||
\(251\) | 34.6450 | + | 162.992i | 0.138028 | + | 0.649371i | 0.991701 | + | 0.128562i | \(0.0410361\pi\) |
−0.853673 | + | 0.520809i | \(0.825631\pi\) | |||||||
\(252\) | −51.6971 | − | 63.0154i | −0.205147 | − | 0.250061i | ||||
\(253\) | −81.2109 | + | 140.661i | −0.320992 | + | 0.555974i | ||||
\(254\) | 148.146 | − | 91.4346i | 0.583253 | − | 0.359979i | ||||
\(255\) | 49.7509 | − | 111.742i | 0.195102 | − | 0.438206i | ||||
\(256\) | −236.445 | − | 98.1313i | −0.923613 | − | 0.383325i | ||||
\(257\) | 300.935 | − | 133.985i | 1.17095 | − | 0.521342i | 0.273250 | − | 0.961943i | \(-0.411902\pi\) |
0.897703 | + | 0.440602i | \(0.145235\pi\) | |||||||
\(258\) | 228.200 | + | 41.5428i | 0.884495 | + | 0.161019i | ||||
\(259\) | −32.0605 | + | 3.36970i | −0.123786 | + | 0.0130104i | ||||
\(260\) | −284.398 | + | 355.814i | −1.09384 | + | 1.36852i | ||||
\(261\) | 117.981 | + | 131.031i | 0.452035 | + | 0.502036i | ||||
\(262\) | −231.170 | − | 17.4527i | −0.882328 | − | 0.0666133i | ||||
\(263\) | −259.953 | − | 84.4640i | −0.988416 | − | 0.321156i | −0.230189 | − | 0.973146i | \(-0.573934\pi\) |
−0.758227 | + | 0.651990i | \(0.773934\pi\) | |||||||
\(264\) | −134.799 | + | 586.097i | −0.510601 | + | 2.22006i | ||||
\(265\) | −8.18294 | + | 77.8555i | −0.0308790 | + | 0.293794i | ||||
\(266\) | −169.443 | − | 177.420i | −0.637003 | − | 0.666993i | ||||
\(267\) | −62.4415 | − | 56.2226i | −0.233863 | − | 0.210572i | ||||
\(268\) | −268.990 | + | 44.3624i | −1.00369 | + | 0.165531i | ||||
\(269\) | 292.579 | + | 62.1897i | 1.08766 | + | 0.231188i | 0.716644 | − | 0.697440i | \(-0.245677\pi\) |
0.371012 | + | 0.928628i | \(0.379011\pi\) | |||||||
\(270\) | 114.953 | + | 239.042i | 0.425753 | + | 0.885341i | ||||
\(271\) | 224.488 | − | 308.981i | 0.828369 | − | 1.14015i | −0.159856 | − | 0.987140i | \(-0.551103\pi\) |
0.988224 | − | 0.153012i | \(-0.0488972\pi\) | |||||||
\(272\) | 77.0340 | + | 23.9490i | 0.283213 | + | 0.0880480i | ||||
\(273\) | −169.645 | − | 293.833i | −0.621409 | − | 1.07631i | ||||
\(274\) | 177.177 | − | 328.814i | 0.646633 | − | 1.20005i | ||||
\(275\) | 274.075 | + | 377.231i | 0.996635 | + | 1.37175i | ||||
\(276\) | 104.445 | − | 28.7005i | 0.378426 | − | 0.103987i | ||||
\(277\) | −32.0678 | − | 98.6944i | −0.115768 | − | 0.356297i | 0.876338 | − | 0.481696i | \(-0.159979\pi\) |
−0.992106 | + | 0.125399i | \(0.959979\pi\) | |||||||
\(278\) | −11.6515 | − | 396.659i | −0.0419118 | − | 1.42683i | ||||
\(279\) | −72.5334 | + | 82.0734i | −0.259976 | + | 0.294170i | ||||
\(280\) | −27.8169 | − | 314.937i | −0.0993460 | − | 1.12477i | ||||
\(281\) | 31.3167 | + | 96.3830i | 0.111447 | + | 0.343000i | 0.991190 | − | 0.132451i | \(-0.0422848\pi\) |
−0.879742 | + | 0.475451i | \(0.842285\pi\) | |||||||
\(282\) | −522.170 | + | 127.123i | −1.85167 | + | 0.450789i | ||||
\(283\) | 120.028 | + | 165.204i | 0.424127 | + | 0.583760i | 0.966593 | − | 0.256317i | \(-0.0825092\pi\) |
−0.542466 | + | 0.840078i | \(0.682509\pi\) | |||||||
\(284\) | −127.087 | − | 63.7377i | −0.447491 | − | 0.224428i | ||||
\(285\) | −258.004 | − | 446.876i | −0.905278 | − | 1.56799i | ||||
\(286\) | −267.997 | + | 652.877i | −0.937053 | + | 2.28279i | ||||
\(287\) | 27.6332 | − | 38.0339i | 0.0962831 | − | 0.132522i | ||||
\(288\) | 95.4504 | − | 60.6041i | 0.331425 | − | 0.210431i | ||||
\(289\) | 257.819 | + | 54.8011i | 0.892108 | + | 0.189623i | ||||
\(290\) | 91.4308 | + | 677.794i | 0.315279 | + | 2.33722i | ||||
\(291\) | 107.678 | + | 96.9537i | 0.370027 | + | 0.333174i | ||||
\(292\) | 304.250 | + | 300.397i | 1.04195 | + | 1.02876i | ||||
\(293\) | 15.5843 | − | 148.275i | 0.0531887 | − | 0.506057i | −0.935201 | − | 0.354117i | \(-0.884781\pi\) |
0.988390 | − | 0.151940i | \(-0.0485519\pi\) | |||||||
\(294\) | −106.956 | − | 31.3116i | −0.363797 | − | 0.106502i | ||||
\(295\) | −10.2244 | − | 3.32210i | −0.0346589 | − | 0.0112613i | ||||
\(296\) | 0.743321 | − | 44.7120i | 0.00251122 | − | 0.151054i | ||||
\(297\) | 274.986 | + | 305.403i | 0.925879 | + | 1.02829i | ||||
\(298\) | −310.634 | + | 366.061i | −1.04240 | + | 1.22839i | ||||
\(299\) | 126.414 | − | 13.2866i | 0.422789 | − | 0.0444369i | ||||
\(300\) | 46.6868 | − | 307.434i | 0.155623 | − | 1.02478i | ||||
\(301\) | −172.594 | + | 76.8437i | −0.573401 | + | 0.255295i | ||||
\(302\) | 222.578 | − | 326.073i | 0.737012 | − | 1.07971i | ||||
\(303\) | −48.8448 | + | 109.707i | −0.161204 | + | 0.362070i | ||||
\(304\) | 272.752 | − | 203.526i | 0.897212 | − | 0.669494i | ||||
\(305\) | −70.7793 | + | 122.593i | −0.232063 | + | 0.401945i | ||||
\(306\) | −28.1972 | + | 21.7795i | −0.0921476 | + | 0.0711749i | ||||
\(307\) | −77.0171 | − | 362.337i | −0.250870 | − | 1.18025i | −0.905515 | − | 0.424314i | \(-0.860515\pi\) |
0.654645 | − | 0.755936i | \(-0.272818\pi\) | |||||||
\(308\) | −178.456 | − | 456.186i | −0.579403 | − | 1.48112i | ||||
\(309\) | 369.055 | 1.19435 | ||||||||
\(310\) | −411.858 | + | 104.319i | −1.32858 | + | 0.336514i | ||||
\(311\) | − | 56.5763i | − | 0.181917i | −0.995855 | − | 0.0909587i | \(-0.971007\pi\) | ||
0.995855 | − | 0.0909587i | \(-0.0289931\pi\) | |||||||
\(312\) | 433.083 | − | 184.257i | 1.38809 | − | 0.590568i | ||||
\(313\) | −186.346 | + | 39.6091i | −0.595354 | + | 0.126547i | −0.495727 | − | 0.868478i | \(-0.665098\pi\) |
−0.0996273 | + | 0.995025i | \(0.531765\pi\) | |||||||
\(314\) | 290.590 | − | 224.452i | 0.925444 | − | 0.714814i | ||||
\(315\) | 120.929 | + | 69.8181i | 0.383900 | + | 0.221645i | ||||
\(316\) | 173.877 | − | 114.498i | 0.550242 | − | 0.362337i | ||||
\(317\) | 11.0316 | + | 4.91159i | 0.0348000 | + | 0.0154940i | 0.424063 | − | 0.905633i | \(-0.360604\pi\) |
−0.389263 | + | 0.921127i | \(0.627270\pi\) | |||||||
\(318\) | 45.6023 | − | 66.8066i | 0.143403 | − | 0.210084i | ||||
\(319\) | 431.001 | + | 968.044i | 1.35110 | + | 3.03462i | ||||
\(320\) | 438.327 | + | 14.5781i | 1.36977 | + | 0.0455566i | ||||
\(321\) | 22.6130 | + | 215.148i | 0.0704454 | + | 0.670243i | ||||
\(322\) | −57.0842 | + | 67.2698i | −0.177280 | + | 0.208912i | ||||
\(323\) | −79.6959 | + | 71.7585i | −0.246737 | + | 0.222163i | ||||
\(324\) | 18.4470 | − | 400.838i | 0.0569351 | − | 1.23715i | ||||
\(325\) | 112.763 | − | 347.050i | 0.346964 | − | 1.06785i | ||||
\(326\) | −188.365 | − | 55.1441i | −0.577806 | − | 0.169154i | ||||
\(327\) | 208.732 | + | 21.9386i | 0.638325 | + | 0.0670906i | ||||
\(328\) | 47.7314 | + | 44.4362i | 0.145523 | + | 0.135476i | ||||
\(329\) | 292.904 | − | 325.303i | 0.890287 | − | 0.988764i | ||||
\(330\) | −137.734 | − | 1021.05i | −0.417375 | − | 3.09408i | ||||
\(331\) | 11.8410 | − | 55.7073i | 0.0357733 | − | 0.168300i | −0.956635 | − | 0.291291i | \(-0.905915\pi\) |
0.992408 | + | 0.122991i | \(0.0392486\pi\) | |||||||
\(332\) | 85.1784 | + | 164.571i | 0.256561 | + | 0.495697i | ||||
\(333\) | 15.9782 | + | 11.6089i | 0.0479827 | + | 0.0348615i | ||||
\(334\) | 149.754 | − | 364.820i | 0.448364 | − | 1.09227i | ||||
\(335\) | 404.476 | − | 233.524i | 1.20739 | − | 0.697088i | ||||
\(336\) | −129.057 | + | 300.100i | −0.384098 | + | 0.893156i | ||||
\(337\) | −154.119 | + | 111.974i | −0.457327 | + | 0.332268i | −0.792482 | − | 0.609896i | \(-0.791211\pi\) |
0.335155 | + | 0.942163i | \(0.391211\pi\) | |||||||
\(338\) | 208.226 | − | 50.6928i | 0.616054 | − | 0.149979i | ||||
\(339\) | −24.4402 | + | 7.94111i | −0.0720950 | + | 0.0234251i | ||||
\(340\) | −137.964 | + | 8.11211i | −0.405777 | + | 0.0238592i | ||||
\(341\) | −567.001 | + | 334.402i | −1.66276 | + | 0.980651i | ||||
\(342\) | 4.41315 | + | 150.240i | 0.0129039 | + | 0.439298i | ||||
\(343\) | 355.091 | − | 115.376i | 1.03525 | − | 0.336374i | ||||
\(344\) | −76.8308 | − | 250.558i | −0.223345 | − | 0.728366i | ||||
\(345\) | −150.125 | + | 109.072i | −0.435145 | + | 0.316151i | ||||
\(346\) | 21.5717 | − | 40.0337i | 0.0623459 | − | 0.115704i | ||||
\(347\) | −503.378 | + | 290.625i | −1.45066 | + | 0.837537i | −0.998519 | − | 0.0544109i | \(-0.982672\pi\) |
−0.452138 | + | 0.891948i | \(0.649339\pi\) | |||||||
\(348\) | 249.040 | − | 661.334i | 0.715631 | − | 1.90038i | ||||
\(349\) | −262.803 | − | 190.937i | −0.753016 | − | 0.547098i | 0.143744 | − | 0.989615i | \(-0.454086\pi\) |
−0.896760 | + | 0.442517i | \(0.854086\pi\) | |||||||
\(350\) | 109.768 | + | 228.259i | 0.313622 | + | 0.652168i | ||||
\(351\) | 66.8674 | − | 314.586i | 0.190505 | − | 0.896257i | ||||
\(352\) | 658.116 | − | 169.130i | 1.86965 | − | 0.480483i | ||||
\(353\) | −370.664 | + | 411.664i | −1.05004 | + | 1.16619i | −0.0642959 | + | 0.997931i | \(0.520480\pi\) |
−0.985743 | + | 0.168256i | \(0.946187\pi\) | |||||||
\(354\) | 7.67183 | + | 8.03301i | 0.0216718 | + | 0.0226921i | ||||
\(355\) | 242.235 | + | 25.4599i | 0.682351 | + | 0.0717180i | ||||
\(356\) | −23.9863 | + | 91.8552i | −0.0673773 | + | 0.258020i | ||||
\(357\) | 31.8107 | − | 97.9034i | 0.0891057 | − | 0.274239i | ||||
\(358\) | −359.143 | − | 27.1143i | −1.00319 | − | 0.0757382i | ||||
\(359\) | −369.491 | + | 332.691i | −1.02922 | + | 0.926715i | −0.997348 | − | 0.0727766i | \(-0.976814\pi\) |
−0.0318734 | + | 0.999492i | \(0.510147\pi\) | |||||||
\(360\) | −116.442 | + | 154.791i | −0.323450 | + | 0.429975i | ||||
\(361\) | 9.55485 | + | 90.9084i | 0.0264677 | + | 0.251824i | ||||
\(362\) | 543.630 | + | 98.9656i | 1.50174 | + | 0.273386i | ||||
\(363\) | −475.037 | − | 1066.95i | −1.30864 | − | 2.93926i | ||||
\(364\) | −206.736 | + | 322.830i | −0.567956 | + | 0.886895i | ||||
\(365\) | −669.152 | − | 297.926i | −1.83329 | − | 0.816234i | ||||
\(366\) | 124.467 | − | 76.8200i | 0.340074 | − | 0.209891i | ||||
\(367\) | −350.358 | − | 202.279i | −0.954653 | − | 0.551169i | −0.0601295 | − | 0.998191i | \(-0.519151\pi\) |
−0.894523 | + | 0.447022i | \(0.852485\pi\) | |||||||
\(368\) | −83.0431 | − | 89.8981i | −0.225661 | − | 0.244288i | ||||
\(369\) | −28.1730 | + | 5.98835i | −0.0763495 | + | 0.0162286i | ||||
\(370\) | 25.8027 | + | 72.1335i | 0.0697371 | + | 0.194955i | ||||
\(371\) | 65.8838i | 0.177584i | ||||||||
\(372\) | 425.756 | + | 106.974i | 1.14451 | + | 0.287565i | ||||
\(373\) | 244.662 | 0.655930 | 0.327965 | − | 0.944690i | \(-0.393637\pi\) | ||||
0.327965 | + | 0.944690i | \(0.393637\pi\) | |||||||
\(374\) | −201.614 | + | 72.1189i | −0.539075 | + | 0.192831i | ||||
\(375\) | −15.3393 | − | 72.1657i | −0.0409048 | − | 0.192442i | ||||
\(376\) | 398.749 | + | 457.940i | 1.06050 | + | 1.21793i | ||||
\(377\) | 414.639 | − | 718.176i | 1.09984 | − | 1.90498i | ||||
\(378\) | 117.243 | + | 189.962i | 0.310166 | + | 0.502545i | ||||
\(379\) | −66.2600 | + | 148.822i | −0.174828 | + | 0.392671i | −0.979612 | − | 0.200897i | \(-0.935614\pi\) |
0.804784 | + | 0.593568i | \(0.202281\pi\) | |||||||
\(380\) | −314.414 | + | 490.976i | −0.827407 | + | 1.29204i | ||||
\(381\) | 281.519 | − | 125.340i | 0.738896 | − | 0.328978i | ||||
\(382\) | −17.7405 | + | 97.4509i | −0.0464412 | + | 0.255107i | ||||
\(383\) | −110.563 | + | 11.6206i | −0.288675 | + | 0.0303410i | −0.247759 | − | 0.968822i | \(-0.579694\pi\) |
−0.0409158 | + | 0.999163i | \(0.513028\pi\) | |||||||
\(384\) | −391.557 | − | 228.096i | −1.01968 | − | 0.594001i | ||||
\(385\) | 561.529 | + | 623.641i | 1.45852 | + | 1.61985i | ||||
\(386\) | −27.0713 | + | 358.574i | −0.0701329 | + | 0.928947i | ||||
\(387\) | 110.082 | + | 35.7678i | 0.284449 | + | 0.0924232i | ||||
\(388\) | 41.3635 | − | 158.401i | 0.106607 | − | 0.408249i | ||||
\(389\) | −19.1964 | + | 182.642i | −0.0493481 | + | 0.469516i | 0.941743 | + | 0.336333i | \(0.109187\pi\) |
−0.991091 | + | 0.133184i | \(0.957480\pi\) | |||||||
\(390\) | −583.098 | + | 556.881i | −1.49512 | + | 1.42790i | ||||
\(391\) | 28.6599 | + | 25.8055i | 0.0732990 | + | 0.0659987i | ||||
\(392\) | 24.1290 | + | 123.585i | 0.0615536 | + | 0.315268i | ||||
\(393\) | −401.395 | − | 85.3192i | −1.02136 | − | 0.217097i | ||||
\(394\) | 377.266 | − | 181.424i | 0.957528 | − | 0.460468i | ||||
\(395\) | −209.641 | + | 288.546i | −0.530737 | + | 0.730497i | ||||
\(396\) | −105.762 | + | 280.854i | −0.267075 | + | 0.709228i | ||||
\(397\) | 59.2044 | + | 102.545i | 0.149129 | + | 0.258300i | 0.930906 | − | 0.365259i | \(-0.119020\pi\) |
−0.781777 | + | 0.623559i | \(0.785686\pi\) | |||||||
\(398\) | −300.746 | − | 162.053i | −0.755643 | − | 0.407169i | ||||
\(399\) | −255.258 | − | 351.332i | −0.639744 | − | 0.880532i | ||||
\(400\) | −332.735 | + | 112.820i | −0.831839 | + | 0.282049i | ||||
\(401\) | 82.4136 | + | 253.643i | 0.205520 | + | 0.632526i | 0.999692 | + | 0.0248325i | \(0.00790525\pi\) |
−0.794171 | + | 0.607694i | \(0.792095\pi\) | |||||||
\(402\) | −482.368 | + | 14.1691i | −1.19992 | + | 0.0352464i | ||||
\(403\) | 472.538 | + | 205.162i | 1.17255 | + | 0.509087i | ||||
\(404\) | 135.451 | − | 7.96437i | 0.335276 | − | 0.0197138i | ||||
\(405\) | 212.427 | + | 653.782i | 0.524510 | + | 1.61428i | ||||
\(406\) | 136.152 | + | 559.260i | 0.335350 | + | 1.37749i | ||||
\(407\) | 69.7675 | + | 96.0267i | 0.171419 | + | 0.235938i | ||||
\(408\) | 129.468 | + | 60.2412i | 0.317324 | + | 0.147650i | ||||
\(409\) | −82.9219 | − | 143.625i | −0.202743 | − | 0.351161i | 0.746668 | − | 0.665197i | \(-0.231652\pi\) |
−0.949411 | + | 0.314035i | \(0.898319\pi\) | |||||||
\(410\) | −103.354 | − | 42.4252i | −0.252082 | − | 0.103476i | ||||
\(411\) | 388.619 | − | 534.888i | 0.945545 | − | 1.30143i | ||||
\(412\) | −191.670 | − | 370.321i | −0.465218 | − | 0.898838i | ||||
\(413\) | −8.84989 | − | 1.88110i | −0.0214283 | − | 0.00455473i | ||||
\(414\) | 53.5668 | − | 7.22588i | 0.129388 | − | 0.0174538i | ||||
\(415\) | −235.921 | − | 212.424i | −0.568485 | − | 0.511866i | ||||
\(416\) | −409.812 | − | 338.874i | −0.985125 | − | 0.814601i | ||||
\(417\) | 73.4246 | − | 698.589i | 0.176078 | − | 1.67527i | ||||
\(418\) | −253.793 | + | 866.922i | −0.607160 | + | 2.07398i | ||||
\(419\) | −485.455 | − | 157.734i | −1.15860 | − | 0.376453i | −0.334226 | − | 0.942493i | \(-0.608475\pi\) |
−0.824378 | + | 0.566040i | \(0.808475\pi\) | |||||||
\(420\) | 25.7283 | − | 559.054i | 0.0612578 | − | 1.33108i | ||||
\(421\) | −518.010 | − | 575.309i | −1.23043 | − | 1.36653i | −0.907471 | − | 0.420115i | \(-0.861990\pi\) |
−0.322957 | − | 0.946414i | \(-0.604677\pi\) | |||||||
\(422\) | 336.057 | + | 285.173i | 0.796344 | + | 0.675766i | ||||
\(423\) | −266.713 | + | 28.0327i | −0.630527 | + | 0.0662711i | ||||
\(424\) | −90.7195 | − | 11.0625i | −0.213961 | − | 0.0260908i | ||||
\(425\) | 101.143 | − | 45.0319i | 0.237984 | − | 0.105957i | ||||
\(426\) | −207.858 | − | 141.884i | −0.487929 | − | 0.333061i | ||||
\(427\) | −48.4566 | + | 108.835i | −0.113481 | + | 0.254884i | ||||
\(428\) | 204.142 | − | 134.428i | 0.476968 | − | 0.314085i | ||||
\(429\) | −624.623 | + | 1081.88i | −1.45600 | + | 2.52186i | ||||
\(430\) | 274.451 | + | 355.323i | 0.638259 | + | 0.826332i | ||||
\(431\) | −88.7308 | − | 417.445i | −0.205872 | − | 0.968551i | −0.952789 | − | 0.303634i | \(-0.901800\pi\) |
0.746917 | − | 0.664917i | \(-0.231533\pi\) | |||||||
\(432\) | −281.257 | + | 129.543i | −0.651058 | + | 0.299868i | ||||
\(433\) | 690.912 | 1.59564 | 0.797819 | − | 0.602897i | \(-0.205987\pi\) | ||||
0.797819 | + | 0.602897i | \(0.205987\pi\) | |||||||
\(434\) | −335.542 | + | 123.545i | −0.773139 | + | 0.284666i | ||||
\(435\) | 1210.64i | 2.78309i | ||||||||
\(436\) | −86.3917 | − | 220.842i | −0.198146 | − | 0.506519i | ||||
\(437\) | 159.138 | − | 33.8259i | 0.364161 | − | 0.0774047i | ||||
\(438\) | 462.639 | + | 598.962i | 1.05625 | + | 1.36749i | ||||
\(439\) | −233.085 | − | 134.572i | −0.530946 | − | 0.306542i | 0.210455 | − | 0.977603i | \(-0.432505\pi\) |
−0.741402 | + | 0.671062i | \(0.765839\pi\) | |||||||
\(440\) | −953.017 | + | 668.490i | −2.16595 | + | 1.51929i | ||||
\(441\) | −50.8051 | − | 22.6199i | −0.115204 | − | 0.0512923i | ||||
\(442\) | 138.402 | + | 94.4737i | 0.313128 | + | 0.213741i | ||||
\(443\) | −250.604 | − | 562.865i | −0.565697 | − | 1.27058i | −0.939335 | − | 0.343002i | \(-0.888556\pi\) |
0.373638 | − | 0.927575i | \(-0.378110\pi\) | |||||||
\(444\) | 11.8844 | − | 78.2592i | 0.0267668 | − | 0.176260i | ||||
\(445\) | −17.0005 | − | 161.749i | −0.0382033 | − | 0.363480i | ||||
\(446\) | 317.584 | + | 269.497i | 0.712071 | + | 0.604254i | ||||
\(447\) | −631.547 | + | 568.648i | −1.41286 | + | 1.27214i | ||||
\(448\) | 368.156 | − | 26.3583i | 0.821777 | − | 0.0588355i | ||||
\(449\) | 258.272 | − | 794.879i | 0.575216 | − | 1.77033i | −0.0602266 | − | 0.998185i | \(-0.519182\pi\) |
0.635443 | − | 0.772148i | \(-0.280818\pi\) | |||||||
\(450\) | 43.5974 | − | 148.923i | 0.0968831 | − | 0.330940i | ||||
\(451\) | −172.149 | − | 18.0936i | −0.381706 | − | 0.0401189i | ||||
\(452\) | 20.6615 | + | 20.3998i | 0.0457112 | + | 0.0451324i | ||||
\(453\) | 467.613 | − | 519.337i | 1.03226 | − | 1.14644i | ||||
\(454\) | 576.424 | − | 77.7566i | 1.26966 | − | 0.171270i | ||||
\(455\) | 136.545 | − | 642.394i | 0.300099 | − | 1.41185i | ||||
\(456\) | 526.632 | − | 292.489i | 1.15489 | − | 0.641422i | ||||
\(457\) | 305.947 | + | 222.284i | 0.669469 | + | 0.486398i | 0.869848 | − | 0.493321i | \(-0.164217\pi\) |
−0.200378 | + | 0.979719i | \(0.564217\pi\) | |||||||
\(458\) | −157.646 | − | 64.7115i | −0.344205 | − | 0.141292i | ||||
\(459\) | 84.5059 | − | 48.7895i | 0.184109 | − | 0.106295i | ||||
\(460\) | 187.414 | + | 93.9932i | 0.407423 | + | 0.204333i | ||||
\(461\) | −321.660 | + | 233.699i | −0.697743 | + | 0.506940i | −0.879196 | − | 0.476459i | \(-0.841920\pi\) |
0.181453 | + | 0.983400i | \(0.441920\pi\) | |||||||
\(462\) | −205.103 | − | 842.484i | −0.443946 | − | 1.82356i | ||||
\(463\) | −262.579 | + | 85.3171i | −0.567125 | + | 0.184270i | −0.578525 | − | 0.815665i | \(-0.696371\pi\) |
0.0113994 | + | 0.999935i | \(0.496371\pi\) | |||||||
\(464\) | −792.943 | + | 93.5715i | −1.70893 | + | 0.201663i | ||||
\(465\) | −747.180 | + | 85.5395i | −1.60684 | + | 0.183956i | ||||
\(466\) | 569.174 | − | 16.7189i | 1.22140 | − | 0.0358775i | ||||
\(467\) | 61.9549 | − | 20.1304i | 0.132666 | − | 0.0431057i | −0.241932 | − | 0.970293i | \(-0.577781\pi\) |
0.374597 | + | 0.927188i | \(0.377781\pi\) | |||||||
\(468\) | 226.467 | − | 62.2309i | 0.483905 | − | 0.132972i | ||||
\(469\) | 317.997 | − | 231.038i | 0.678032 | − | 0.492619i | ||||
\(470\) | −915.774 | − | 493.454i | −1.94846 | − | 1.04990i | ||||
\(471\) | 562.874 | − | 324.975i | 1.19506 | − | 0.689969i | ||||
\(472\) | 4.07619 | − | 11.8701i | 0.00863600 | − | 0.0251486i | ||||
\(473\) | 562.769 | + | 408.876i | 1.18979 | + | 0.864430i | ||||
\(474\) | 332.114 | − | 159.711i | 0.700662 | − | 0.336943i | ||||
\(475\) | 97.1079 | − | 456.857i | 0.204438 | − | 0.961803i | ||||
\(476\) | −114.760 | + | 18.9265i | −0.241093 | + | 0.0397616i | ||||
\(477\) | 27.0087 | − | 29.9962i | 0.0566221 | − | 0.0628852i | ||||
\(478\) | 155.004 | − | 148.035i | 0.324276 | − | 0.309696i | ||||
\(479\) | −715.594 | − | 75.2120i | −1.49393 | − | 0.157019i | −0.677956 | − | 0.735103i | \(-0.737134\pi\) |
−0.815977 | + | 0.578084i | \(0.803801\pi\) | |||||||
\(480\) | 765.477 | + | 129.298i | 1.59474 | + | 0.269370i | ||||
\(481\) | 28.7047 | − | 88.3438i | 0.0596770 | − | 0.183667i | ||||
\(482\) | −1.61863 | + | 21.4396i | −0.00335816 | + | 0.0444806i | ||||
\(483\) | −116.057 | + | 104.498i | −0.240284 | + | 0.216353i | ||||
\(484\) | −823.900 | + | 1030.79i | −1.70227 | + | 2.12973i | ||||
\(485\) | 29.3167 | + | 278.929i | 0.0604467 | + | 0.575112i | ||||
\(486\) | 64.8203 | − | 356.066i | 0.133375 | − | 0.732645i | ||||
\(487\) | 269.684 | + | 605.720i | 0.553766 | + | 1.24378i | 0.946076 | + | 0.323945i | \(0.105009\pi\) |
−0.392310 | + | 0.919833i | \(0.628324\pi\) | |||||||
\(488\) | −141.726 | − | 84.9975i | −0.290422 | − | 0.174175i | ||||
\(489\) | −317.386 | − | 141.309i | −0.649051 | − | 0.288976i | ||||
\(490\) | −113.298 | − | 183.571i | −0.231221 | − | 0.374634i | ||||
\(491\) | 575.489 | + | 332.259i | 1.17208 | + | 0.676698i | 0.954168 | − | 0.299272i | \(-0.0967436\pi\) |
0.217907 | + | 0.975969i | \(0.430077\pi\) | |||||||
\(492\) | 73.2166 | + | 89.2463i | 0.148814 | + | 0.181395i | ||||
\(493\) | 246.108 | − | 52.3119i | 0.499205 | − | 0.106109i | ||||
\(494\) | 665.619 | − | 238.097i | 1.34741 | − | 0.481978i | ||||
\(495\) | − | 514.134i | − | 1.03865i | ||||||
\(496\) | −113.777 | − | 482.774i | −0.229388 | − | 0.973335i | ||||
\(497\) | 204.986 | 0.412448 | ||||||||
\(498\) | 110.479 | + | 308.852i | 0.221845 | + | 0.620186i | ||||
\(499\) | −97.0842 | − | 456.745i | −0.194557 | − | 0.915321i | −0.961755 | − | 0.273910i | \(-0.911683\pi\) |
0.767198 | − | 0.641411i | \(-0.221650\pi\) | |||||||
\(500\) | −64.4469 | + | 52.8714i | −0.128894 | + | 0.105743i | ||||
\(501\) | 349.032 | − | 604.540i | 0.696670 | − | 1.20667i | ||||
\(502\) | 283.600 | − | 175.036i | 0.564941 | − | 0.348677i | ||||
\(503\) | 171.535 | − | 385.273i | 0.341023 | − | 0.765951i | −0.658883 | − | 0.752246i | \(-0.728971\pi\) |
0.999906 | − | 0.0137051i | \(-0.00436262\pi\) | |||||||
\(504\) | −83.8432 | + | 139.801i | −0.166356 | + | 0.277384i | ||||
\(505\) | −212.355 | + | 94.5464i | −0.420504 | + | 0.187221i | ||||
\(506\) | 319.591 | + | 58.1803i | 0.631603 | + | 0.114981i | ||||
\(507\) | 377.273 | − | 39.6529i | 0.744127 | − | 0.0782109i | ||||
\(508\) | −271.978 | − | 217.389i | −0.535391 | − | 0.427932i | ||||
\(509\) | 139.926 | + | 155.404i | 0.274905 | + | 0.305312i | 0.864749 | − | 0.502205i | \(-0.167478\pi\) |
−0.589844 | + | 0.807517i | \(0.700811\pi\) | |||||||
\(510\) | −243.940 | − | 18.4168i | −0.478314 | − | 0.0361114i | ||||
\(511\) | −586.279 | − | 190.494i | −1.14732 | − | 0.372786i | ||||
\(512\) | −25.5225 | + | 511.363i | −0.0498487 | + | 0.998757i | ||||
\(513\) | 43.0289 | − | 409.392i | 0.0838769 | − | 0.798036i | ||||
\(514\) | −455.027 | − | 476.450i | −0.885267 | − | 0.926945i | ||||
\(515\) | 530.873 | + | 478.000i | 1.03082 | + | 0.928156i | ||||
\(516\) | −75.4877 | − | 457.717i | −0.146294 | − | 0.887049i | ||||
\(517\) | −1576.51 | − | 335.098i | −3.04934 | − | 0.648158i | ||||
\(518\) | 27.9421 | + | 58.1048i | 0.0539423 | + | 0.112171i | ||||
\(519\) | 47.3151 | − | 65.1236i | 0.0911658 | − | 0.125479i | ||||
\(520\) | 861.625 | + | 295.882i | 1.65697 | + | 0.569003i | ||||
\(521\) | 282.580 | + | 489.443i | 0.542380 | + | 0.939430i | 0.998767 | + | 0.0496487i | \(0.0158102\pi\) |
−0.456386 | + | 0.889782i | \(0.650856\pi\) | |||||||
\(522\) | 167.277 | − | 310.441i | 0.320455 | − | 0.594714i | ||||
\(523\) | −28.3790 | − | 39.0604i | −0.0542620 | − | 0.0746853i | 0.781024 | − | 0.624501i | \(-0.214698\pi\) |
−0.835286 | + | 0.549816i | \(0.814698\pi\) | |||||||
\(524\) | 122.854 | + | 447.083i | 0.234454 | + | 0.853213i | ||||
\(525\) | 138.544 | + | 426.394i | 0.263893 | + | 0.812178i | ||||
\(526\) | 16.0507 | + | 546.427i | 0.0305147 | + | 1.03883i | ||||
\(527\) | 49.6748 | + | 148.196i | 0.0942595 | + | 0.281207i | ||||
\(528\) | 1194.51 | − | 140.958i | 2.26233 | − | 0.266967i | ||||
\(529\) | 145.390 | + | 447.465i | 0.274840 | + | 0.845870i | ||||
\(530\) | 152.125 | − | 37.0350i | 0.287029 | − | 0.0698774i | ||||
\(531\) | 3.25812 | + | 4.48442i | 0.00613582 | + | 0.00844523i | ||||
\(532\) | −219.969 | + | 438.599i | −0.413475 | + | 0.824434i | ||||
\(533\) | 67.7324 | + | 117.316i | 0.127078 | + | 0.220105i | ||||
\(534\) | −63.8138 | + | 155.459i | −0.119501 | + | 0.291122i | ||||
\(535\) | −246.132 | + | 338.772i | −0.460060 | + | 0.633219i | ||||
\(536\) | 264.737 | + | 476.664i | 0.493912 | + | 0.889299i | ||||
\(537\) | −623.603 | − | 132.551i | −1.16127 | − | 0.246836i | ||||
\(538\) | −79.9739 | − | 592.862i | −0.148650 | − | 1.10197i | ||||
\(539\) | −248.378 | − | 223.641i | −0.460813 | − | 0.414918i | ||||
\(540\) | 372.717 | − | 377.496i | 0.690216 | − | 0.699068i | ||||
\(541\) | −43.9345 | + | 418.009i | −0.0812098 | + | 0.772659i | 0.875814 | + | 0.482649i | \(0.160325\pi\) |
−0.957024 | + | 0.290010i | \(0.906341\pi\) | |||||||
\(542\) | −733.076 | − | 214.609i | −1.35254 | − | 0.395958i | ||||
\(543\) | 930.233 | + | 302.251i | 1.71314 | + | 0.556632i | ||||
\(544\) | −6.79177 | − | 161.199i | −0.0124849 | − | 0.296321i | ||||
\(545\) | 271.839 | + | 301.908i | 0.498788 | + | 0.553960i | ||||
\(546\) | −439.056 | + | 517.397i | −0.804131 | + | 0.947613i | ||||
\(547\) | −133.717 | + | 14.0542i | −0.244455 | + | 0.0256933i | −0.225964 | − | 0.974136i | \(-0.572553\pi\) |
−0.0184917 | + | 0.999829i | \(0.505886\pi\) | |||||||
\(548\) | −738.554 | − | 112.157i | −1.34773 | − | 0.204666i | ||||
\(549\) | 66.6783 | − | 29.6871i | 0.121454 | − | 0.0540749i | ||||
\(550\) | 525.761 | − | 770.231i | 0.955928 | − | 1.40042i | ||||
\(551\) | 431.721 | − | 969.662i | 0.783524 | − | 1.75982i | ||||
\(552\) | −124.403 | − | 177.353i | −0.225369 | − | 0.321292i | ||||
\(553\) | −150.083 | + | 259.951i | −0.271398 | + | 0.470075i | ||||
\(554\) | −164.255 | + | 126.870i | −0.296489 | + | 0.229008i | ||||
\(555\) | 28.1945 | + | 132.645i | 0.0508009 | + | 0.238999i | ||||
\(556\) | −739.119 | + | 289.138i | −1.32935 | + | 0.520032i | ||||
\(557\) | 354.890 | 0.637145 | 0.318573 | − | 0.947898i | \(-0.396797\pi\) | ||||
0.318573 | + | 0.947898i | \(0.396797\pi\) | |||||||
\(558\) | 203.416 | + | 81.3050i | 0.364545 | + | 0.145708i | ||||
\(559\) | − | 544.388i | − | 0.973860i | ||||||
\(560\) | −574.334 | + | 264.530i | −1.02560 | + | 0.472375i | ||||
\(561\) | −370.744 | + | 78.8040i | −0.660862 | + | 0.140471i | ||||
\(562\) | 160.408 | − | 123.899i | 0.285423 | − | 0.220461i | ||||
\(563\) | 691.410 | + | 399.186i | 1.22808 | + | 0.709033i | 0.966628 | − | 0.256183i | \(-0.0824651\pi\) |
0.261453 | + | 0.965216i | \(0.415798\pi\) | |||||||
\(564\) | 591.133 | + | 897.691i | 1.04811 | + | 1.59165i | ||||
\(565\) | −45.4418 | − | 20.2320i | −0.0804279 | − | 0.0358088i | ||||
\(566\) | 230.251 | − | 337.314i | 0.406804 | − | 0.595962i | ||||
\(567\) | 235.312 | + | 528.518i | 0.415012 | + | 0.932131i | ||||
\(568\) | −34.4192 | + | 282.259i | −0.0605972 | + | 0.496935i | ||||
\(569\) | −52.1278 | − | 495.963i | −0.0916130 | − | 0.871640i | −0.939750 | − | 0.341863i | \(-0.888942\pi\) |
0.848137 | − | 0.529777i | \(-0.177724\pi\) | |||||||
\(570\) | −667.738 | + | 786.883i | −1.17147 | + | 1.38050i | ||||
\(571\) | 162.676 | − | 146.474i | 0.284897 | − | 0.256523i | −0.514274 | − | 0.857626i | \(-0.671939\pi\) |
0.799171 | + | 0.601103i | \(0.205272\pi\) | |||||||
\(572\) | 1409.99 | + | 64.8893i | 2.46502 | + | 0.113443i | ||||
\(573\) | −54.1814 | + | 166.753i | −0.0945574 | + | 0.291018i | ||||
\(574\) | −90.2376 | − | 26.4172i | −0.157208 | − | 0.0460230i | ||||
\(575\) | −167.043 | − | 17.5569i | −0.290510 | − | 0.0305338i | ||||
\(576\) | −178.423 | − | 138.923i | −0.309763 | − | 0.241186i | ||||
\(577\) | −185.455 | + | 205.968i | −0.321412 | + | 0.356964i | −0.882099 | − | 0.471063i | \(-0.843870\pi\) |
0.560687 | + | 0.828028i | \(0.310537\pi\) | |||||||
\(578\) | −70.4725 | − | 522.426i | −0.121925 | − | 0.903851i | ||||
\(579\) | −132.341 | + | 622.614i | −0.228568 | + | 1.07533i | ||||
\(580\) | 1214.80 | − | 628.751i | 2.09448 | − | 1.08405i | ||||
\(581\) | −216.150 | − | 157.042i | −0.372030 | − | 0.270296i | ||||
\(582\) | 110.044 | − | 268.083i | 0.189080 | − | 0.460624i | ||||
\(583\) | 210.081 | − | 121.290i | 0.360345 | − | 0.208045i | ||||
\(584\) | 360.745 | − | 775.299i | 0.617713 | − | 1.32757i | ||||
\(585\) | −325.514 | + | 236.500i | −0.556434 | + | 0.404273i | ||||
\(586\) | −289.721 | + | 70.5327i | −0.494404 | + | 0.120363i | ||||
\(587\) | −175.325 | + | 56.9667i | −0.298680 | + | 0.0970472i | −0.454524 | − | 0.890735i | \(-0.650191\pi\) |
0.155843 | + | 0.987782i | \(0.450191\pi\) | |||||||
\(588\) | 13.0831 | + | 222.507i | 0.0222502 | + | 0.378412i | ||||
\(589\) | 628.957 | + | 197.936i | 1.06784 | + | 0.336054i | ||||
\(590\) | 0.631300 | + | 21.4918i | 0.00107000 | + | 0.0364268i | ||||
\(591\) | 704.743 | − | 228.985i | 1.19246 | − | 0.387453i | ||||
\(592\) | −84.7000 | + | 28.7189i | −0.143074 | + | 0.0485117i | ||||
\(593\) | −592.466 | + | 430.452i | −0.999099 | + | 0.725888i | −0.961895 | − | 0.273420i | \(-0.911845\pi\) |
−0.0372043 | + | 0.999308i | \(0.511845\pi\) | |||||||
\(594\) | 389.883 | − | 723.563i | 0.656369 | − | 1.21812i | ||||
\(595\) | 172.563 | − | 99.6295i | 0.290022 | − | 0.167445i | ||||
\(596\) | 898.595 | + | 338.386i | 1.50771 | + | 0.567761i | ||||
\(597\) | −489.230 | − | 355.446i | −0.819481 | − | 0.595388i | ||||
\(598\) | −110.175 | − | 229.106i | −0.184239 | − | 0.383120i | ||||
\(599\) | −221.009 | + | 1039.76i | −0.368963 | + | 1.73583i | 0.266622 | + | 0.963801i | \(0.414092\pi\) |
−0.635585 | + | 0.772031i | \(0.719241\pi\) | |||||||
\(600\) | −610.391 | + | 119.174i | −1.01732 | + | 0.198623i | ||||
\(601\) | 693.605 | − | 770.326i | 1.15408 | − | 1.28174i | 0.200811 | − | 0.979630i | \(-0.435642\pi\) |
0.953273 | − | 0.302110i | \(-0.0976911\pi\) | |||||||
\(602\) | 260.970 | + | 273.256i | 0.433505 | + | 0.453914i | ||||
\(603\) | −239.494 | − | 25.1718i | −0.397171 | − | 0.0417444i | ||||
\(604\) | −763.975 | − | 199.498i | −1.26486 | − | 0.330295i | ||||
\(605\) | 698.591 | − | 2150.04i | 1.15470 | − | 3.55379i | ||||
\(606\) | 239.498 | + | 18.0814i | 0.395211 | + | 0.0298373i | ||||
\(607\) | 47.7306 | − | 42.9768i | 0.0786335 | − | 0.0708020i | −0.628877 | − | 0.777505i | \(-0.716485\pi\) |
0.707510 | + | 0.706703i | \(0.249818\pi\) | |||||||
\(608\) | −567.000 | − | 376.534i | −0.932566 | − | 0.619299i | ||||
\(609\) | 106.501 | + | 1013.29i | 0.174879 | + | 1.66386i | ||||
\(610\) | 278.539 | + | 50.7069i | 0.456622 | + | 0.0831261i | ||||
\(611\) | 513.029 | + | 1152.28i | 0.839654 | + | 1.88589i | ||||
\(612\) | 60.0081 | + | 38.4284i | 0.0980524 | + | 0.0627915i | ||||
\(613\) | −511.719 | − | 227.832i | −0.834778 | − | 0.371667i | −0.0555874 | − | 0.998454i | \(-0.517703\pi\) |
−0.779191 | + | 0.626787i | \(0.784370\pi\) | |||||||
\(614\) | −630.454 | + | 389.110i | −1.02680 | + | 0.633730i | ||||
\(615\) | −171.267 | − | 98.8808i | −0.278482 | − | 0.160782i | ||||
\(616\) | −738.854 | + | 643.353i | −1.19944 | + | 1.04440i | ||||
\(617\) | −1106.89 | + | 235.276i | −1.79398 | + | 0.381322i | −0.979909 | − | 0.199444i | \(-0.936087\pi\) |
−0.814071 | + | 0.580766i | \(0.802753\pi\) | |||||||
\(618\) | −248.601 | − | 694.984i | −0.402267 | − | 1.12457i | ||||
\(619\) | − | 62.7835i | − | 0.101427i | −0.998713 | − | 0.0507136i | \(-0.983850\pi\) | ||
0.998713 | − | 0.0507136i | \(-0.0161496\pi\) | |||||||
\(620\) | 473.883 | + | 705.319i | 0.764328 | + | 1.13761i | ||||
\(621\) | −148.035 | −0.238381 | ||||||||
\(622\) | −106.542 | + | 38.1107i | −0.171289 | + | 0.0612713i | ||||
\(623\) | −28.4583 | − | 133.886i | −0.0456795 | − | 0.214905i | ||||
\(624\) | −638.715 | − | 691.440i | −1.02358 | − | 1.10808i | ||||
\(625\) | 345.890 | − | 599.099i | 0.553424 | − | 0.958558i | ||||
\(626\) | 200.115 | + | 324.235i | 0.319673 | + | 0.517948i | ||||
\(627\) | −650.356 | + | 1460.72i | −1.03725 | + | 2.32970i | ||||
\(628\) | −618.421 | − | 396.028i | −0.984747 | − | 0.630619i | ||||
\(629\) | 25.7467 | − | 11.4632i | 0.0409327 | − | 0.0182244i | ||||
\(630\) | 50.0184 | − | 274.757i | 0.0793942 | − | 0.436122i | ||||
\(631\) | −294.165 | + | 30.9180i | −0.466189 | + | 0.0489984i | −0.334711 | − | 0.942321i | \(-0.608639\pi\) |
−0.131477 | + | 0.991319i | \(0.541972\pi\) | |||||||
\(632\) | −332.743 | − | 250.307i | −0.526492 | − | 0.396056i | ||||
\(633\) | 522.039 | + | 579.783i | 0.824706 | + | 0.915929i | ||||
\(634\) | 1.81817 | − | 24.0827i | 0.00286778 | − | 0.0379853i | ||||
\(635\) | 567.298 | + | 184.326i | 0.893382 | + | 0.290277i | ||||
\(636\) | −156.525 | − | 40.8737i | −0.246109 | − | 0.0642669i | ||||
\(637\) | −27.3407 | + | 260.130i | −0.0429211 | + | 0.408367i | ||||
\(638\) | 1532.64 | − | 1463.73i | 2.40226 | − | 2.29424i | ||||
\(639\) | −93.3283 | − | 84.0332i | −0.146054 | − | 0.131507i | ||||
\(640\) | −267.812 | − | 835.255i | −0.418456 | − | 1.30509i | ||||
\(641\) | 570.528 | + | 121.269i | 0.890059 | + | 0.189188i | 0.630176 | − | 0.776452i | \(-0.282983\pi\) |
0.259883 | + | 0.965640i | \(0.416316\pi\) | |||||||
\(642\) | 389.923 | − | 187.511i | 0.607357 | − | 0.292073i | ||||
\(643\) | −473.581 | + | 651.829i | −0.736519 | + | 1.01373i | 0.262293 | + | 0.964988i | \(0.415521\pi\) |
−0.998811 | + | 0.0487425i | \(0.984479\pi\) | |||||||
\(644\) | 165.132 | + | 62.1839i | 0.256416 | + | 0.0965589i | ||||
\(645\) | 397.369 | + | 688.263i | 0.616075 | + | 1.06707i | ||||
\(646\) | 188.816 | + | 101.741i | 0.292285 | + | 0.157494i | ||||
\(647\) | 168.537 | + | 231.971i | 0.260490 | + | 0.358534i | 0.919151 | − | 0.393906i | \(-0.128877\pi\) |
−0.658660 | + | 0.752440i | \(0.728877\pi\) | |||||||
\(648\) | −767.262 | + | 235.272i | −1.18405 | + | 0.363074i | ||||
\(649\) | 10.2942 | + | 31.6824i | 0.0158617 | + | 0.0488172i | ||||
\(650\) | −729.505 | + | 21.4285i | −1.12232 | + | 0.0329669i | ||||
\(651\) | −617.854 | + | 137.325i | −0.949084 | + | 0.210945i | ||||
\(652\) | 23.0411 | + | 391.865i | 0.0353392 | + | 0.601019i | ||||
\(653\) | −107.373 | − | 330.461i | −0.164431 | − | 0.506066i | 0.834563 | − | 0.550912i | \(-0.185720\pi\) |
−0.998994 | + | 0.0448464i | \(0.985720\pi\) | |||||||
\(654\) | −99.2917 | − | 407.851i | −0.151822 | − | 0.623626i | ||||
\(655\) | −466.888 | − | 642.617i | −0.712807 | − | 0.981094i | ||||
\(656\) | 51.5273 | − | 119.818i | 0.0785477 | − | 0.182650i | ||||
\(657\) | 188.835 | + | 327.072i | 0.287420 | + | 0.497827i | ||||
\(658\) | −809.899 | − | 332.452i | −1.23085 | − | 0.505247i | ||||
\(659\) | −419.662 | + | 577.616i | −0.636817 | + | 0.876504i | −0.998441 | − | 0.0558206i | \(-0.982223\pi\) |
0.361624 | + | 0.932324i | \(0.382223\pi\) | |||||||
\(660\) | −1830.00 | + | 947.166i | −2.77273 | + | 1.43510i | ||||
\(661\) | −367.407 | − | 78.0947i | −0.555835 | − | 0.118146i | −0.0785744 | − | 0.996908i | \(-0.525037\pi\) |
−0.477260 | + | 0.878762i | \(0.658370\pi\) | |||||||
\(662\) | −112.881 | + | 15.2271i | −0.170516 | + | 0.0230016i | ||||
\(663\) | 220.434 | + | 198.480i | 0.332479 | + | 0.299366i | ||||
\(664\) | 252.535 | − | 271.261i | 0.380323 | − | 0.408526i | ||||
\(665\) | 87.8661 | − | 835.990i | 0.132129 | − | 1.25713i | ||||
\(666\) | 11.0980 | − | 37.9093i | 0.0166637 | − | 0.0569209i | ||||
\(667\) | −363.024 | − | 117.954i | −0.544264 | − | 0.176842i | ||||
\(668\) | −787.885 | − | 36.2594i | −1.17947 | − | 0.0542805i | ||||
\(669\) | 493.342 | + | 547.912i | 0.737432 | + | 0.819001i | ||||
\(670\) | −712.222 | − | 604.382i | −1.06302 | − | 0.902063i | ||||
\(671\) | 436.246 | − | 45.8513i | 0.650144 | − | 0.0683328i | ||||
\(672\) | 652.068 | + | 40.8805i | 0.970339 | + | 0.0608341i | ||||
\(673\) | 595.289 | − | 265.040i | 0.884531 | − | 0.393819i | 0.0863702 | − | 0.996263i | \(-0.472473\pi\) |
0.798161 | + | 0.602445i | \(0.205807\pi\) | |||||||
\(674\) | 314.681 | + | 214.802i | 0.466886 | + | 0.318697i | ||||
\(675\) | −172.855 | + | 388.240i | −0.256082 | + | 0.575170i | ||||
\(676\) | −235.727 | − | 357.973i | −0.348708 | − | 0.529546i | ||||
\(677\) | −539.394 | + | 934.258i | −0.796742 | + | 1.38000i | 0.124985 | + | 0.992159i | \(0.460112\pi\) |
−0.921727 | + | 0.387839i | \(0.873222\pi\) | |||||||
\(678\) | 31.4176 | + | 40.6752i | 0.0463386 | + | 0.0599930i | ||||
\(679\) | 49.0752 | + | 230.881i | 0.0722757 | + | 0.340031i | ||||
\(680\) | 108.211 | + | 254.342i | 0.159134 | + | 0.374033i | ||||
\(681\) | 1029.58 | 1.51187 | ||||||||
\(682\) | 1011.67 | + | 842.487i | 1.48339 | + | 1.23532i | ||||
\(683\) | − | 1034.00i | − | 1.51391i | −0.653467 | − | 0.756955i | \(-0.726686\pi\) | ||
0.653467 | − | 0.756955i | \(-0.273314\pi\) | |||||||
\(684\) | 279.951 | − | 109.515i | 0.409285 | − | 0.160109i | ||||
\(685\) | 1251.80 | − | 266.079i | 1.82745 | − | 0.388437i | ||||
\(686\) | −456.466 | − | 590.970i | −0.665402 | − | 0.861472i | ||||
\(687\) | −261.234 | − | 150.824i | −0.380253 | − | 0.219539i | ||||
\(688\) | −420.083 | + | 313.464i | −0.610586 | + | 0.455616i | ||||
\(689\) | −173.429 | − | 77.2156i | −0.251711 | − | 0.112069i | ||||
\(690\) | 306.526 | + | 209.235i | 0.444240 | + | 0.303239i | ||||
\(691\) | −442.302 | − | 993.427i | −0.640090 | − | 1.43767i | −0.883822 | − | 0.467823i | \(-0.845038\pi\) |
0.243732 | − | 0.969843i | \(-0.421628\pi\) | |||||||
\(692\) | −89.9203 | − | 13.6553i | −0.129943 | − | 0.0197331i | ||||
\(693\) | −45.2287 | − | 430.322i | −0.0652651 | − | 0.620956i | ||||
\(694\) | 886.374 | + | 752.164i | 1.27720 | + | 1.08381i | ||||
\(695\) | 1010.43 | − | 909.797i | 1.45386 | − | 1.30906i | ||||
\(696\) | −1413.15 | − | 23.4930i | −2.03038 | − | 0.0337544i | ||||
\(697\) | −12.7008 | + | 39.0890i | −0.0182221 | + | 0.0560817i | ||||
\(698\) | −182.535 | + | 623.514i | −0.261511 | + | 0.893287i | ||||
\(699\) | 1002.42 | + | 105.358i | 1.43407 | + | 0.150727i | ||||
\(700\) | 355.904 | − | 360.468i | 0.508434 | − | 0.514954i | ||||
\(701\) | 151.228 | − | 167.956i | 0.215732 | − | 0.239595i | −0.625559 | − | 0.780177i | \(-0.715129\pi\) |
0.841291 | + | 0.540582i | \(0.181796\pi\) | |||||||
\(702\) | −637.455 | + | 85.9893i | −0.908056 | + | 0.122492i | ||||
\(703\) | 24.7195 | − | 116.296i | 0.0351628 | − | 0.165428i | ||||
\(704\) | −761.814 | − | 1125.40i | −1.08212 | − | 1.59858i | ||||
\(705\) | −1489.71 | − | 1082.34i | −2.11306 | − | 1.53523i | ||||
\(706\) | 1024.91 | + | 420.711i | 1.45171 | + | 0.595908i | ||||
\(707\) | −169.420 | + | 97.8150i | −0.239633 | + | 0.138352i | ||||
\(708\) | 9.95947 | − | 19.8583i | 0.0140671 | − | 0.0280485i | ||||
\(709\) | −399.359 | + | 290.151i | −0.563270 | + | 0.409240i | −0.832654 | − | 0.553793i | \(-0.813180\pi\) |
0.269384 | + | 0.963033i | \(0.413180\pi\) | |||||||
\(710\) | −115.228 | − | 473.313i | −0.162294 | − | 0.666639i | ||||
\(711\) | 174.897 | − | 56.8275i | 0.245988 | − | 0.0799262i | ||||
\(712\) | 189.134 | − | 16.7053i | 0.265638 | − | 0.0234626i | ||||
\(713\) | 47.1483 | − | 232.384i | 0.0661267 | − | 0.325924i | ||||
\(714\) | −205.795 | + | 6.04501i | −0.288228 | + | 0.00846640i | ||||
\(715\) | −2299.75 | + | 747.235i | −3.21644 | + | 1.04508i | ||||
\(716\) | 190.864 | + | 694.584i | 0.266570 | + | 0.970089i | ||||
\(717\) | 306.943 | − | 223.007i | 0.428093 | − | 0.311028i | ||||
\(718\) | 875.400 | + | 471.699i | 1.21922 | + | 0.656962i | ||||
\(719\) | 325.051 | − | 187.668i | 0.452087 | − | 0.261013i | −0.256624 | − | 0.966511i | \(-0.582610\pi\) |
0.708711 | + | 0.705499i | \(0.249277\pi\) | |||||||
\(720\) | 369.932 | + | 115.008i | 0.513794 | + | 0.159733i | ||||
\(721\) | 486.383 | + | 353.378i | 0.674595 | + | 0.490122i | ||||
\(722\) | 164.757 | − | 79.2305i | 0.228196 | − | 0.109738i | ||||
\(723\) | −7.91284 | + | 37.2270i | −0.0109445 | + | 0.0514896i | ||||
\(724\) | −179.831 | − | 1090.40i | −0.248386 | − | 1.50608i | ||||
\(725\) | −733.239 | + | 814.344i | −1.01136 | + | 1.12323i | ||||
\(726\) | −1689.23 | + | 1613.28i | −2.32677 | + | 2.22215i | ||||
\(727\) | 436.548 | + | 45.8830i | 0.600478 | + | 0.0631128i | 0.399891 | − | 0.916563i | \(-0.369048\pi\) |
0.200588 | + | 0.979676i | \(0.435715\pi\) | |||||||
\(728\) | 747.197 | + | 171.851i | 1.02637 | + | 0.236059i | ||||
\(729\) | −81.0249 | + | 249.369i | −0.111145 | + | 0.342070i | ||||
\(730\) | −110.286 | + | 1460.80i | −0.151077 | + | 2.00109i | ||||
\(731\) | 122.745 | − | 110.520i | 0.167913 | − | 0.151190i | ||||
\(732\) | −228.506 | − | 182.643i | −0.312167 | − | 0.249512i | ||||
\(733\) | 38.3991 | + | 365.343i | 0.0523863 | + | 0.498422i | 0.988985 | + | 0.148018i | \(0.0472892\pi\) |
−0.936598 | + | 0.350405i | \(0.886044\pi\) | |||||||
\(734\) | −144.915 | + | 796.033i | −0.197431 | + | 1.08451i | ||||
\(735\) | −155.312 | − | 348.836i | −0.211309 | − | 0.474607i | ||||
\(736\) | −113.352 | + | 216.939i | −0.154011 | + | 0.294754i | ||||
\(737\) | −1322.13 | − | 588.649i | −1.79393 | − | 0.798710i | ||||
\(738\) | 30.2547 | + | 49.0200i | 0.0409955 | + | 0.0664227i | ||||
\(739\) | −209.215 | − | 120.790i | −0.283106 | − | 0.163451i | 0.351723 | − | 0.936104i | \(-0.385596\pi\) |
−0.634829 | + | 0.772653i | \(0.718929\pi\) | |||||||
\(740\) | 118.457 | − | 97.1806i | 0.160077 | − | 0.131325i | ||||
\(741\) | 1223.99 | − | 260.167i | 1.65181 | − | 0.351103i | ||||
\(742\) | 124.069 | − | 44.3804i | 0.167209 | − | 0.0598118i | ||||
\(743\) | − | 28.2234i | − | 0.0379857i | −0.999820 | − | 0.0189929i | \(-0.993954\pi\) | ||
0.999820 | − | 0.0189929i | \(-0.00604598\pi\) | |||||||
\(744\) | −85.3482 | − | 873.820i | −0.114715 | − | 1.17449i | ||||
\(745\) | −1644.97 | −2.20802 | ||||||||
\(746\) | −164.808 | − | 460.734i | −0.220922 | − | 0.617606i | ||||
\(747\) | 34.0322 | + | 160.109i | 0.0455586 | + | 0.214336i | ||||
\(748\) | 271.621 | + | 331.089i | 0.363130 | + | 0.442632i | ||||
\(749\) | −176.207 | + | 305.200i | −0.235256 | + | 0.407476i | ||||
\(750\) | −125.566 | + | 77.4982i | −0.167421 | + | 0.103331i | ||||
\(751\) | 382.794 | − | 859.770i | 0.509713 | − | 1.14483i | −0.457116 | − | 0.889407i | \(-0.651117\pi\) |
0.966828 | − | 0.255427i | \(-0.0822159\pi\) | |||||||
\(752\) | 593.765 | − | 1059.38i | 0.789581 | − | 1.40875i | ||||
\(753\) | 538.920 | − | 239.943i | 0.715697 | − | 0.318649i | ||||
\(754\) | −1631.74 | − | 297.051i | −2.16411 | − | 0.393967i | ||||
\(755\) | 1345.29 | − | 141.396i | 1.78184 | − | 0.187279i | ||||
\(756\) | 278.750 | − | 348.747i | 0.368717 | − | 0.461306i | ||||
\(757\) | 831.247 | + | 923.193i | 1.09808 | + | 1.21954i | 0.973827 | + | 0.227291i | \(0.0729869\pi\) |
0.124253 | + | 0.992251i | \(0.460346\pi\) | |||||||
\(758\) | 324.888 | + | 24.5281i | 0.428612 | + | 0.0323590i | ||||
\(759\) | 546.869 | + | 177.688i | 0.720512 | + | 0.234109i | ||||
\(760\) | 1136.37 | + | 261.359i | 1.49523 | + | 0.343894i | ||||
\(761\) | −32.3289 | + | 307.589i | −0.0424821 | + | 0.404190i | 0.952531 | + | 0.304443i | \(0.0984702\pi\) |
−0.995013 | + | 0.0997477i | \(0.968196\pi\) | |||||||
\(762\) | −425.670 | − | 445.711i | −0.558623 | − | 0.584922i | ||||
\(763\) | 254.085 | + | 228.779i | 0.333007 | + | 0.299841i | ||||
\(764\) | 195.465 | − | 32.2365i | 0.255844 | − | 0.0421943i | ||||
\(765\) | −119.409 | − | 25.3812i | −0.156090 | − | 0.0331780i | ||||
\(766\) | 96.3600 | + | 200.378i | 0.125796 | + | 0.261590i | ||||
\(767\) | 15.3238 | − | 21.0914i | 0.0199788 | − | 0.0274985i | ||||
\(768\) | −165.779 | + | 891.009i | −0.215859 | + | 1.16017i | ||||
\(769\) | −472.061 | − | 817.633i | −0.613863 | − | 1.06324i | −0.990583 | − | 0.136915i | \(-0.956281\pi\) |
0.376720 | − | 0.926327i | \(-0.377052\pi\) | |||||||
\(770\) | 796.152 | − | 1477.54i | 1.03396 | − | 1.91888i | ||||
\(771\) | −685.477 | − | 943.479i | −0.889076 | − | 1.22371i | ||||
\(772\) | 693.482 | − | 190.562i | 0.898293 | − | 0.246842i | ||||
\(773\) | 247.286 | + | 761.070i | 0.319905 | + | 0.984566i | 0.973688 | + | 0.227884i | \(0.0731808\pi\) |
−0.653783 | + | 0.756682i | \(0.726819\pi\) | |||||||
\(774\) | −6.79697 | − | 231.394i | −0.00878161 | − | 0.298959i | ||||
\(775\) | −554.402 | − | 394.999i | −0.715358 | − | 0.509677i | ||||
\(776\) | −326.155 | + | 28.8077i | −0.420302 | + | 0.0371233i | ||||
\(777\) | 35.2672 | + | 108.541i | 0.0453889 | + | 0.139693i | ||||
\(778\) | 356.872 | − | 86.8808i | 0.458705 | − | 0.111672i | ||||
\(779\) | 101.914 | + | 140.273i | 0.130827 | + | 0.180068i | ||||
\(780\) | 1441.47 | + | 722.936i | 1.84804 | + | 0.926841i | ||||
\(781\) | −377.375 | − | 653.633i | −0.483195 | − | 0.836917i | ||||
\(782\) | 29.2898 | − | 71.3538i | 0.0374549 | − | 0.0912453i | ||||
\(783\) | −567.679 | + | 781.344i | −0.725005 | + | 0.997884i | ||||
\(784\) | 216.475 | − | 128.687i | 0.276116 | − | 0.164142i | ||||
\(785\) | 1230.58 | + | 261.569i | 1.56762 | + | 0.333209i | ||||
\(786\) | 109.718 | + | 813.359i | 0.139590 | + | 1.03481i | ||||
\(787\) | −160.113 | − | 144.166i | −0.203447 | − | 0.183185i | 0.561109 | − | 0.827742i | \(-0.310375\pi\) |
−0.764556 | + | 0.644558i | \(0.777042\pi\) | |||||||
\(788\) | −595.781 | − | 588.237i | −0.756067 | − | 0.746494i | ||||
\(789\) | −101.148 | + | 962.356i | −0.128197 | + | 1.21972i | ||||
\(790\) | 684.593 | + | 200.416i | 0.866573 | + | 0.253691i | ||||
\(791\) | −39.8139 | − | 12.9363i | −0.0503337 | − | 0.0163544i | ||||
\(792\) | 600.133 | + | 9.97699i | 0.757743 | + | 0.0125972i | ||||
\(793\) | −229.702 | − | 255.109i | −0.289662 | − | 0.321702i | ||||
\(794\) | 153.226 | − | 180.566i | 0.192980 | − | 0.227414i | ||||
\(795\) | 275.627 | − | 28.9695i | 0.346700 | − | 0.0364397i | ||||
\(796\) | −102.583 | + | 675.511i | −0.128873 | + | 0.848632i | ||||
\(797\) | −430.979 | + | 191.884i | −0.540752 | + | 0.240758i | −0.658891 | − | 0.752239i | \(-0.728974\pi\) |
0.118139 | + | 0.992997i | \(0.462307\pi\) | |||||||
\(798\) | −489.664 | + | 717.351i | −0.613614 | + | 0.898936i | ||||
\(799\) | −155.655 | + | 349.607i | −0.194812 | + | 0.437555i | ||||
\(800\) | 436.592 | + | 550.593i | 0.545740 | + | 0.688241i | ||||
\(801\) | −41.9290 | + | 72.6232i | −0.0523459 | + | 0.0906657i | ||||
\(802\) | 422.132 | − | 326.055i | 0.526349 | − | 0.406552i | ||||
\(803\) | 471.905 | + | 2220.14i | 0.587678 | + | 2.76481i | ||||
\(804\) | 351.613 | + | 898.825i | 0.437330 | + | 1.11794i | ||||
\(805\) | −302.291 | −0.375517 | ||||||||
\(806\) | 68.0406 | − | 1028.06i | 0.0844176 | − | 1.27551i | ||||
\(807\) | − | 1058.94i | − | 1.31219i | ||||||
\(808\) | −106.240 | − | 249.710i | −0.131486 | − | 0.309047i | ||||
\(809\) | −608.102 | + | 129.256i | −0.751671 | + | 0.159773i | −0.567787 | − | 0.823175i | \(-0.692200\pi\) |
−0.183884 | + | 0.982948i | \(0.558867\pi\) | |||||||
\(810\) | 1088.07 | − | 840.428i | 1.34330 | − | 1.03757i | ||||
\(811\) | −1375.96 | − | 794.413i | −1.69663 | − | 0.979548i | −0.948919 | − | 0.315520i | \(-0.897821\pi\) |
−0.747708 | − | 0.664028i | \(-0.768846\pi\) | |||||||
\(812\) | 961.455 | − | 633.121i | 1.18406 | − | 0.779706i | ||||
\(813\) | −1235.20 | − | 549.946i | −1.51931 | − | 0.676440i | ||||
\(814\) | 133.836 | − | 196.068i | 0.164417 | − | 0.240869i | ||||
\(815\) | −273.525 | − | 614.348i | −0.335614 | − | 0.753801i | ||||
\(816\) | 26.2311 | − | 284.387i | 0.0321460 | − | 0.348513i | ||||
\(817\) | −72.8338 | − | 692.967i | −0.0891478 | − | 0.848185i | ||||
\(818\) | −214.609 | + | 252.902i | −0.262359 | + | 0.309171i | ||||
\(819\) | −251.645 | + | 226.582i | −0.307259 | + | 0.276657i | ||||
\(820\) | −10.2723 | + | 223.208i | −0.0125272 | + | 0.272205i | ||||
\(821\) | 338.985 | − | 1043.29i | 0.412893 | − | 1.27075i | −0.501229 | − | 0.865314i | \(-0.667119\pi\) |
0.914122 | − | 0.405439i | \(-0.132881\pi\) | |||||||
\(822\) | −1269.05 | − | 371.517i | −1.54386 | − | 0.451967i | ||||
\(823\) | 22.7701 | + | 2.39323i | 0.0276672 | + | 0.00290794i | 0.118352 | − | 0.992972i | \(-0.462239\pi\) |
−0.0906848 | + | 0.995880i | \(0.528906\pi\) | |||||||
\(824\) | −568.257 | + | 610.396i | −0.689633 | + | 0.740772i | ||||
\(825\) | 1104.57 | − | 1226.75i | 1.33887 | − | 1.48697i | ||||
\(826\) | 2.41904 | + | 17.9328i | 0.00292862 | + | 0.0217104i | ||||
\(827\) | −237.061 | + | 1115.28i | −0.286652 | + | 1.34859i | 0.565263 | + | 0.824910i | \(0.308775\pi\) |
−0.851915 | + | 0.523680i | \(0.824559\pi\) | |||||||
\(828\) | −49.6908 | − | 96.0067i | −0.0600131 | − | 0.115950i | ||||
\(829\) | −2.96676 | − | 2.15547i | −0.00357872 | − | 0.00260009i | 0.585994 | − | 0.810315i | \(-0.300704\pi\) |
−0.589573 | + | 0.807715i | \(0.700704\pi\) | |||||||
\(830\) | −241.106 | + | 587.367i | −0.290489 | + | 0.707671i | ||||
\(831\) | −318.163 | + | 183.691i | −0.382867 | + | 0.221048i | ||||
\(832\) | −362.094 | + | 1000.01i | −0.435209 | + | 1.20193i | ||||
\(833\) | −64.2029 | + | 46.6461i | −0.0770743 | + | 0.0559977i | ||||
\(834\) | −1365.00 | + | 332.311i | −1.63670 | + | 0.398455i | ||||
\(835\) | 1285.07 | − | 417.545i | 1.53901 | − | 0.500054i | ||||
\(836\) | 1803.50 | − | 106.044i | 2.15730 | − | 0.126846i | ||||
\(837\) | −522.337 | − | 295.152i | −0.624059 | − | 0.352630i | ||||
\(838\) | 29.9743 | + | 1020.44i | 0.0357688 | + | 1.21770i | ||||
\(839\) | 517.510 | − | 168.149i | 0.616818 | − | 0.200416i | 0.0160911 | − | 0.999871i | \(-0.494878\pi\) |
0.600727 | + | 0.799454i | \(0.294878\pi\) | |||||||
\(840\) | −1070.11 | + | 328.138i | −1.27394 | + | 0.390640i | ||||
\(841\) | −1334.30 | + | 969.427i | −1.58657 | + | 1.15271i | ||||
\(842\) | −734.451 | + | 1363.03i | −0.872269 | + | 1.61880i | ||||
\(843\) | 310.711 | − | 179.389i | 0.368578 | − | 0.212799i | ||||
\(844\) | 310.650 | − | 824.942i | 0.368069 | − | 0.977420i | ||||
\(845\) | 594.053 | + | 431.605i | 0.703021 | + | 0.510775i | ||||
\(846\) | 232.452 | + | 483.376i | 0.274766 | + | 0.571367i | ||||
\(847\) | 395.570 | − | 1861.01i | 0.467025 | − | 2.19718i | ||||
\(848\) | 40.2778 | + | 178.290i | 0.0474974 | + | 0.210248i | ||||
\(849\) | 483.734 | − | 537.241i | 0.569769 | − | 0.632793i | ||||
\(850\) | −152.933 | − | 160.133i | −0.179922 | − | 0.188392i | ||||
\(851\) | −42.5219 | − | 4.46924i | −0.0499670 | − | 0.00525175i | ||||
\(852\) | −127.172 | + | 487.002i | −0.149263 | + | 0.571599i | ||||
\(853\) | −294.219 | + | 905.514i | −0.344923 | + | 1.06156i | 0.616702 | + | 0.787197i | \(0.288468\pi\) |
−0.961625 | + | 0.274367i | \(0.911532\pi\) | |||||||
\(854\) | 237.594 | + | 17.9377i | 0.278213 | + | 0.0210043i | ||||
\(855\) | −382.715 | + | 344.598i | −0.447619 | + | 0.403038i | ||||
\(856\) | −390.662 | − | 293.877i | −0.456381 | − | 0.343314i | ||||
\(857\) | 15.7780 | + | 150.118i | 0.0184108 | + | 0.175167i | 0.999863 | − | 0.0165389i | \(-0.00526474\pi\) |
−0.981452 | + | 0.191706i | \(0.938598\pi\) | |||||||
\(858\) | 2458.09 | + | 447.486i | 2.86491 | + | 0.521545i | ||||
\(859\) | 116.044 | + | 260.640i | 0.135092 | + | 0.303422i | 0.968406 | − | 0.249378i | \(-0.0802260\pi\) |
−0.833314 | + | 0.552800i | \(0.813559\pi\) | |||||||
\(860\) | 484.250 | − | 756.183i | 0.563081 | − | 0.879283i | ||||
\(861\) | −152.046 | − | 67.6953i | −0.176593 | − | 0.0786241i | ||||
\(862\) | −726.341 | + | 448.291i | −0.842622 | + | 0.520059i | ||||
\(863\) | −805.231 | − | 464.900i | −0.933060 | − | 0.538703i | −0.0452820 | − | 0.998974i | \(-0.514419\pi\) |
−0.887778 | + | 0.460272i | \(0.847752\pi\) | |||||||
\(864\) | 433.407 | + | 442.386i | 0.501629 | + | 0.512021i | ||||
\(865\) | 152.409 | − | 32.3956i | 0.176196 | − | 0.0374516i | ||||
\(866\) | −465.409 | − | 1301.09i | −0.537424 | − | 1.50241i | ||||
\(867\) | − | 933.132i | − | 1.07628i | ||||||
\(868\) | 458.681 | + | 548.653i | 0.528434 | + | 0.632089i | ||||
\(869\) | 1105.20 | 1.27180 | ||||||||
\(870\) | 2279.82 | − | 815.508i | 2.62048 | − | 0.937365i | ||||
\(871\) | 235.482 | + | 1107.86i | 0.270358 | + | 1.27194i | ||||
\(872\) | −357.683 | + | 311.451i | −0.410187 | + | 0.357169i | ||||
\(873\) | 72.3050 | − | 125.236i | 0.0828236 | − | 0.143455i | ||||
\(874\) | −170.897 | − | 276.895i | −0.195534 | − | 0.316813i | ||||
\(875\) | 48.8844 | − | 109.796i | 0.0558678 | − | 0.125481i | ||||
\(876\) | 816.293 | − | 1274.69i | 0.931841 | − | 1.45512i | ||||
\(877\) | 694.713 | − | 309.306i | 0.792147 | − | 0.352687i | 0.0295524 | − | 0.999563i | \(-0.490592\pi\) |
0.762595 | + | 0.646877i | \(0.223925\pi\) | |||||||
\(878\) | −96.4086 | + | 529.584i | −0.109805 | + | 0.603171i | ||||
\(879\) | −524.927 | + | 55.1721i | −0.597187 | + | 0.0627669i | ||||
\(880\) | 1900.83 | + | 1344.37i | 2.16004 | + | 1.52769i | ||||
\(881\) | 275.301 | + | 305.753i | 0.312487 | + | 0.347052i | 0.878845 | − | 0.477108i | \(-0.158315\pi\) |
−0.566358 | + | 0.824159i | \(0.691648\pi\) | |||||||
\(882\) | −8.37343 | + | 110.911i | −0.00949369 | + | 0.125749i | ||||
\(883\) | 653.037 | + | 212.185i | 0.739567 | + | 0.240300i | 0.654486 | − | 0.756074i | \(-0.272885\pi\) |
0.0850809 | + | 0.996374i | \(0.472885\pi\) | |||||||
\(884\) | 84.6776 | − | 324.271i | 0.0957891 | − | 0.366823i | ||||
\(885\) | −3.97829 | + | 37.8509i | −0.00449525 | + | 0.0427694i | ||||
\(886\) | −891.147 | + | 851.079i | −1.00581 | + | 0.960585i | ||||
\(887\) | −198.250 | − | 178.505i | −0.223506 | − | 0.201246i | 0.549768 | − | 0.835317i | \(-0.314716\pi\) |
−0.773275 | + | 0.634071i | \(0.781383\pi\) | |||||||
\(888\) | −155.379 | + | 30.3365i | −0.174977 | + | 0.0341628i | ||||
\(889\) | 491.035 | + | 104.373i | 0.552345 | + | 0.117405i | ||||
\(890\) | −293.145 | + | 140.971i | −0.329376 | + | 0.158394i | ||||
\(891\) | 1252.06 | − | 1723.32i | 1.40523 | − | 1.93414i | ||||
\(892\) | 293.573 | − | 779.595i | 0.329118 | − | 0.873985i | ||||
\(893\) | 807.213 | + | 1398.13i | 0.903934 | + | 1.56566i | ||||
\(894\) | 1496.27 | + | 806.246i | 1.67368 | + | 0.901841i | ||||
\(895\) | −725.353 | − | 998.362i | −0.810450 | − | 1.11549i | ||||
\(896\) | −297.632 | − | 675.537i | −0.332179 | − | 0.753947i | ||||
\(897\) | −139.058 | − | 427.975i | −0.155025 | − | 0.477119i | ||||
\(898\) | −1670.85 | + | 49.0796i | −1.86064 | + | 0.0546543i | ||||
\(899\) | −1045.74 | − | 1139.99i | −1.16323 | − | 1.26807i | ||||
\(900\) | −309.812 | + | 18.2165i | −0.344235 | + | 0.0202406i | ||||
\(901\) | −17.7990 | − | 54.7797i | −0.0197547 | − | 0.0607987i | ||||
\(902\) | 81.8896 | + | 336.371i | 0.0907867 | + | 0.372916i | ||||
\(903\) | 393.139 | + | 541.109i | 0.435369 | + | 0.599235i | ||||
\(904\) | 24.4980 | − | 52.6502i | 0.0270996 | − | 0.0582414i | ||||
\(905\) | 946.634 | + | 1639.62i | 1.04600 | + | 1.81173i | ||||
\(906\) | −1292.98 | − | 530.750i | −1.42713 | − | 0.585817i | ||||
\(907\) | −231.928 | + | 319.222i | −0.255709 | + | 0.351953i | −0.917501 | − | 0.397735i | \(-0.869796\pi\) |
0.661791 | + | 0.749688i | \(0.269796\pi\) | |||||||
\(908\) | −534.716 | − | 1033.11i | −0.588894 | − | 1.13779i | ||||
\(909\) | 117.234 | + | 24.9189i | 0.128971 | + | 0.0274135i | ||||
\(910\) | −1301.70 | + | 175.592i | −1.43044 | + | 0.192959i | ||||
\(911\) | −58.4898 | − | 52.6644i | −0.0642039 | − | 0.0578095i | 0.636404 | − | 0.771356i | \(-0.280421\pi\) |
−0.700608 | + | 0.713546i | \(0.747088\pi\) | |||||||
\(912\) | −905.547 | − | 794.700i | −0.992924 | − | 0.871382i | ||||
\(913\) | −102.827 | + | 978.338i | −0.112626 | + | 1.07156i | ||||
\(914\) | 212.502 | − | 725.878i | 0.232497 | − | 0.794177i | ||||
\(915\) | 476.623 | + | 154.864i | 0.520899 | + | 0.169250i | ||||
\(916\) | −15.6684 | + | 340.461i | −0.0171052 | + | 0.371683i | ||||
\(917\) | −447.310 | − | 496.788i | −0.487797 | − | 0.541754i | ||||
\(918\) | −148.802 | − | 126.272i | −0.162094 | − | 0.137551i | ||||
\(919\) | 997.023 | − | 104.791i | 1.08490 | − | 0.114028i | 0.454839 | − | 0.890573i | \(-0.349697\pi\) |
0.630061 | + | 0.776546i | \(0.283030\pi\) | |||||||
\(920\) | 50.7576 | − | 416.244i | 0.0551713 | − | 0.452439i | ||||
\(921\) | −1198.04 | + | 533.401i | −1.30080 | + | 0.579154i | ||||
\(922\) | 656.765 | + | 448.309i | 0.712327 | + | 0.486235i | ||||
\(923\) | −240.244 | + | 539.596i | −0.260286 | + | 0.584611i | ||||
\(924\) | −1448.36 | + | 953.750i | −1.56749 | + | 1.03220i | ||||
\(925\) | −61.3725 | + | 106.300i | −0.0663487 | + | 0.114919i | ||||
\(926\) | 337.542 | + | 437.004i | 0.364516 | + | 0.471926i | ||||
\(927\) | −76.5799 | − | 360.280i | −0.0826104 | − | 0.388652i | ||||
\(928\) | 710.348 | + | 1430.20i | 0.765461 | + | 1.54116i | ||||
\(929\) | −423.542 | −0.455911 | −0.227956 | − | 0.973672i | \(-0.573204\pi\) | ||||
−0.227956 | + | 0.973672i | \(0.573204\pi\) | |||||||
\(930\) | 664.396 | + | 1349.43i | 0.714404 | + | 1.45100i | ||||
\(931\) | 334.785i | 0.359597i | ||||||||
\(932\) | −414.889 | − | 1060.58i | −0.445160 | − | 1.13796i | ||||
\(933\) | −195.917 | + | 41.6434i | −0.209986 | + | 0.0446338i | ||||
\(934\) | −79.6422 | − | 103.110i | −0.0852700 | − | 0.110396i | ||||
\(935\) | −635.369 | − | 366.831i | −0.679540 | − | 0.392332i | ||||
\(936\) | −269.742 | − | 384.552i | −0.288186 | − | 0.410846i | ||||
\(937\) | −1413.32 | − | 629.252i | −1.50835 | − | 0.671560i | −0.524639 | − | 0.851325i | \(-0.675800\pi\) |
−0.983710 | + | 0.179765i | \(0.942466\pi\) | |||||||
\(938\) | −649.287 | − | 443.204i | −0.692204 | − | 0.472499i | ||||
\(939\) | 274.322 | + | 616.138i | 0.292143 | + | 0.656164i | ||||
\(940\) | −312.366 | + | 2056.94i | −0.332304 | + | 2.18823i | ||||
\(941\) | −161.748 | − | 1538.93i | −0.171890 | − | 1.63542i | −0.652004 | − | 0.758216i | \(-0.726071\pi\) |
0.480114 | − | 0.877206i | \(-0.340595\pi\) | |||||||
\(942\) | −991.138 | − | 841.066i | −1.05216 | − | 0.892851i | ||||
\(943\) | 46.3371 | − | 41.7221i | 0.0491379 | − | 0.0442440i | ||||
\(944\) | −25.0990 | + | 0.319839i | −0.0265879 | + | 0.000338813i | ||||
\(945\) | −236.354 | + | 727.423i | −0.250110 | + | 0.769760i | ||||
\(946\) | 390.882 | − | 1335.20i | 0.413195 | − | 1.41142i | ||||
\(947\) | 667.254 | + | 70.1313i | 0.704598 | + | 0.0740562i | 0.450049 | − | 0.893004i | \(-0.351406\pi\) |
0.254549 | + | 0.967060i | \(0.418073\pi\) | |||||||
\(948\) | −524.476 | − | 517.835i | −0.553245 | − | 0.546240i | ||||
\(949\) | 1188.56 | − | 1320.03i | 1.25244 | − | 1.39097i | ||||
\(950\) | −925.742 | + | 124.878i | −0.974465 | + | 0.131450i | ||||
\(951\) | 8.88833 | − | 41.8163i | 0.00934629 | − | 0.0439709i | ||||
\(952\) | 112.946 | + | 203.361i | 0.118641 | + | 0.213615i | ||||
\(953\) | −467.136 | − | 339.394i | −0.490174 | − | 0.356132i | 0.315077 | − | 0.949066i | \(-0.397970\pi\) |
−0.805251 | + | 0.592934i | \(0.797970\pi\) | |||||||
\(954\) | −74.6808 | − | 30.6555i | −0.0782818 | − | 0.0321336i | ||||
\(955\) | −293.917 | + | 169.693i | −0.307767 | + | 0.177689i | ||||
\(956\) | −383.184 | − | 192.177i | −0.400820 | − | 0.201022i | ||||
\(957\) | 3034.97 | − | 2205.04i | 3.17134 | − | 2.30411i | ||||
\(958\) | 340.401 | + | 1398.23i | 0.355324 | + | 1.45953i | ||||
\(959\) | 1024.33 | − | 332.826i | 1.06813 | − | 0.347056i | ||||
\(960\) | −272.152 | − | 1528.60i | −0.283491 | − | 1.59229i | ||||
\(961\) | 629.688 | − | 725.957i | 0.655243 | − | 0.755418i | ||||
\(962\) | −185.700 | + | 5.45476i | −0.193036 | + | 0.00567023i | ||||
\(963\) | 205.340 | − | 66.7191i | 0.213230 | − | 0.0692826i | ||||
\(964\) | 41.4643 | − | 11.3940i | 0.0430128 | − | 0.0118195i | ||||
\(965\) | −996.779 | + | 724.202i | −1.03293 | + | 0.750469i | ||||
\(966\) | 274.964 | + | 148.161i | 0.284642 | + | 0.153376i | ||||
\(967\) | −1010.78 | + | 583.573i | −1.04527 | + | 0.603488i | −0.921322 | − | 0.388800i | \(-0.872890\pi\) |
−0.123950 | + | 0.992288i | \(0.539556\pi\) | |||||||
\(968\) | 2496.12 | + | 857.167i | 2.57864 | + | 0.885503i | ||||
\(969\) | 307.151 | + | 223.159i | 0.316978 | + | 0.230298i | ||||
\(970\) | 505.517 | − | 243.099i | 0.521151 | − | 0.250617i | ||||
\(971\) | 284.492 | − | 1338.43i | 0.292988 | − | 1.37840i | −0.547606 | − | 0.836736i | \(-0.684461\pi\) |
0.840594 | − | 0.541665i | \(-0.182206\pi\) | |||||||
\(972\) | −714.188 | + | 117.785i | −0.734761 | + | 0.121178i | ||||
\(973\) | 765.681 | − | 850.375i | 0.786928 | − | 0.873973i | ||||
\(974\) | 958.996 | − | 915.877i | 0.984595 | − | 0.940325i | ||||
\(975\) | −1284.79 | − | 135.037i | −1.31773 | − | 0.138499i | ||||
\(976\) | −64.5939 | + | 324.146i | −0.0661822 | + | 0.332117i | ||||
\(977\) | 171.709 | − | 528.465i | 0.175751 | − | 0.540906i | −0.823916 | − | 0.566712i | \(-0.808215\pi\) |
0.999667 | + | 0.0258061i | \(0.00821524\pi\) | |||||||
\(978\) | −52.3099 | + | 692.873i | −0.0534866 | + | 0.708459i | ||||
\(979\) | −374.525 | + | 337.224i | −0.382559 | + | 0.344458i | ||||
\(980\) | −269.371 | + | 337.014i | −0.274869 | + | 0.343891i | ||||
\(981\) | −21.8955 | − | 208.322i | −0.0223195 | − | 0.212356i | ||||
\(982\) | 238.033 | − | 1307.54i | 0.242396 | − | 1.33151i | ||||
\(983\) | 348.949 | + | 783.752i | 0.354983 | + | 0.797306i | 0.999466 | + | 0.0326866i | \(0.0104063\pi\) |
−0.644482 | + | 0.764619i | \(0.722927\pi\) | |||||||
\(984\) | 118.744 | − | 197.995i | 0.120675 | − | 0.201215i | ||||
\(985\) | 1310.33 | + | 583.397i | 1.33029 | + | 0.592281i | ||||
\(986\) | −264.293 | − | 428.220i | −0.268046 | − | 0.434300i | ||||
\(987\) | −1342.08 | − | 774.849i | −1.35975 | − | 0.785055i | ||||
\(988\) | −896.743 | − | 1093.07i | −0.907635 | − | 1.10635i | ||||
\(989\) | −245.099 | + | 52.0974i | −0.247825 | + | 0.0526768i | ||||
\(990\) | −968.189 | + | 346.329i | −0.977969 | + | 0.349827i | ||||
\(991\) | 913.664i | 0.921962i | 0.887410 | + | 0.460981i | \(0.152502\pi\) | ||||
−0.887410 | + | 0.460981i | \(0.847498\pi\) | |||||||
\(992\) | −832.493 | + | 539.462i | −0.839207 | + | 0.543813i | ||||
\(993\) | −201.623 | −0.203044 | ||||||||
\(994\) | −138.082 | − | 386.020i | −0.138916 | − | 0.388350i | ||||
\(995\) | −243.367 | − | 1144.95i | −0.244589 | − | 1.15070i | ||||
\(996\) | 507.194 | − | 416.096i | 0.509231 | − | 0.417767i | ||||
\(997\) | −660.034 | + | 1143.21i | −0.662020 | + | 1.14665i | 0.318064 | + | 0.948069i | \(0.396967\pi\) |
−0.980084 | + | 0.198583i | \(0.936366\pi\) | |||||||
\(998\) | −794.721 | + | 490.495i | −0.796313 | + | 0.491478i | ||||
\(999\) | −44.0015 | + | 98.8289i | −0.0440455 | + | 0.0989279i |
(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 | 124.3.n.a.7.12 | ✓ | 240 | |
4.3 | odd | 2 | inner | 124.3.n.a.7.13 | yes | 240 | |
31.9 | even | 15 | inner | 124.3.n.a.71.13 | yes | 240 | |
124.71 | odd | 30 | inner | 124.3.n.a.71.12 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.n.a.7.12 | ✓ | 240 | 1.1 | even | 1 | trivial | |
124.3.n.a.7.13 | yes | 240 | 4.3 | odd | 2 | inner | |
124.3.n.a.71.12 | yes | 240 | 124.71 | odd | 30 | inner | |
124.3.n.a.71.13 | yes | 240 | 31.9 | even | 15 | inner |