Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(7,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.l (of order \(12\), degree \(4\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 430.7 |
Dual form | 430.2.l.a.123.4 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | −0.388695 | + | 1.45063i | −0.224413 | + | 0.837522i | 0.758225 | + | 0.651993i | \(0.226067\pi\) |
−0.982639 | + | 0.185529i | \(0.940600\pi\) | |||||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.951195 | + | 2.02367i | −0.425387 | + | 0.905011i | ||||
\(6\) | −0.750902 | − | 1.30060i | −0.306554 | − | 0.530968i | ||||
\(7\) | 0.957274 | + | 3.57260i | 0.361816 | + | 1.35031i | 0.871687 | + | 0.490063i | \(0.163026\pi\) |
−0.509871 | + | 0.860251i | \(0.670307\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.644831 | + | 0.372294i | 0.214944 | + | 0.124098i | ||||
\(10\) | −0.758352 | − | 2.10355i | −0.239812 | − | 0.665199i | ||||
\(11\) | 5.85835 | 1.76636 | 0.883179 | − | 0.469036i | \(-0.155398\pi\) | ||||
0.883179 | + | 0.469036i | \(0.155398\pi\) | |||||||
\(12\) | 1.45063 | + | 0.388695i | 0.418761 | + | 0.112207i | ||||
\(13\) | −0.325074 | − | 1.21319i | −0.0901593 | − | 0.336479i | 0.906082 | − | 0.423102i | \(-0.139059\pi\) |
−0.996241 | + | 0.0866234i | \(0.972392\pi\) | |||||||
\(14\) | −3.20310 | − | 1.84931i | −0.856065 | − | 0.494249i | ||||
\(15\) | −2.56587 | − | 2.16642i | −0.662504 | − | 0.559368i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −5.89376 | + | 1.57923i | −1.42945 | + | 0.383019i | −0.888825 | − | 0.458247i | \(-0.848477\pi\) |
−0.540621 | + | 0.841266i | \(0.681811\pi\) | |||||||
\(18\) | −0.719216 | + | 0.192713i | −0.169521 | + | 0.0454230i | ||||
\(19\) | −1.28855 | − | 2.23183i | −0.295613 | − | 0.512016i | 0.679515 | − | 0.733662i | \(-0.262190\pi\) |
−0.975127 | + | 0.221646i | \(0.928857\pi\) | |||||||
\(20\) | 2.02367 | + | 0.951195i | 0.452506 | + | 0.212694i | ||||
\(21\) | −5.55460 | −1.21211 | ||||||||
\(22\) | −4.14248 | + | 4.14248i | −0.883179 | + | 0.883179i | ||||
\(23\) | 1.73706 | + | 0.465444i | 0.362202 | + | 0.0970517i | 0.435330 | − | 0.900271i | \(-0.356632\pi\) |
−0.0731284 | + | 0.997323i | \(0.523298\pi\) | |||||||
\(24\) | −1.30060 | + | 0.750902i | −0.265484 | + | 0.153277i | ||||
\(25\) | −3.19046 | − | 3.84980i | −0.638091 | − | 0.769961i | ||||
\(26\) | 1.08772 | + | 0.627995i | 0.213319 | + | 0.123160i | ||||
\(27\) | −3.97651 | + | 3.97651i | −0.765280 | + | 0.765280i | ||||
\(28\) | 3.57260 | − | 0.957274i | 0.675157 | − | 0.180908i | ||||
\(29\) | −1.89925 | + | 3.28961i | −0.352683 | + | 0.610865i | −0.986719 | − | 0.162439i | \(-0.948064\pi\) |
0.634036 | + | 0.773304i | \(0.281397\pi\) | |||||||
\(30\) | 3.34623 | − | 0.282451i | 0.610936 | − | 0.0515683i | ||||
\(31\) | −2.54770 | − | 4.41274i | −0.457580 | − | 0.792552i | 0.541252 | − | 0.840860i | \(-0.317950\pi\) |
−0.998832 | + | 0.0483082i | \(0.984617\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −2.27711 | + | 8.49830i | −0.396394 | + | 1.47936i | ||||
\(34\) | 3.05083 | − | 5.28420i | 0.523214 | − | 0.906232i | ||||
\(35\) | −8.14030 | − | 1.46103i | −1.37596 | − | 0.246959i | ||||
\(36\) | 0.372294 | − | 0.644831i | 0.0620489 | − | 0.107472i | ||||
\(37\) | 7.90170 | + | 2.11725i | 1.29903 | + | 0.348074i | 0.841084 | − | 0.540905i | \(-0.181918\pi\) |
0.457947 | + | 0.888979i | \(0.348585\pi\) | |||||||
\(38\) | 2.48928 | + | 0.667000i | 0.403814 | + | 0.108202i | ||||
\(39\) | 1.88625 | 0.302042 | ||||||||
\(40\) | −2.10355 | + | 0.758352i | −0.332600 | + | 0.119906i | ||||
\(41\) | 11.4087 | 1.78174 | 0.890872 | − | 0.454255i | \(-0.150094\pi\) | ||||
0.890872 | + | 0.454255i | \(0.150094\pi\) | |||||||
\(42\) | 3.92770 | − | 3.92770i | 0.606057 | − | 0.606057i | ||||
\(43\) | −6.44809 | − | 1.19252i | −0.983325 | − | 0.181858i | ||||
\(44\) | − | 5.85835i | − | 0.883179i | ||||||
\(45\) | −1.36676 | + | 0.950800i | −0.203744 | + | 0.141737i | ||||
\(46\) | −1.55740 | + | 0.899168i | −0.229627 | + | 0.132575i | ||||
\(47\) | −6.64908 | − | 6.64908i | −0.969868 | − | 0.969868i | 0.0296910 | − | 0.999559i | \(-0.490548\pi\) |
−0.999559 | + | 0.0296910i | \(0.990548\pi\) | |||||||
\(48\) | 0.388695 | − | 1.45063i | 0.0561033 | − | 0.209380i | ||||
\(49\) | −5.78489 | + | 3.33991i | −0.826413 | + | 0.477130i | ||||
\(50\) | 4.97822 | + | 0.466228i | 0.704026 | + | 0.0659346i | ||||
\(51\) | − | 9.16350i | − | 1.28315i | ||||||
\(52\) | −1.21319 | + | 0.325074i | −0.168240 | + | 0.0450796i | ||||
\(53\) | 4.82436 | + | 1.29268i | 0.662677 | + | 0.177564i | 0.574454 | − | 0.818537i | \(-0.305215\pi\) |
0.0882231 | + | 0.996101i | \(0.471881\pi\) | |||||||
\(54\) | − | 5.62363i | − | 0.765280i | ||||||
\(55\) | −5.57243 | + | 11.8553i | −0.751386 | + | 1.59857i | ||||
\(56\) | −1.84931 | + | 3.20310i | −0.247125 | + | 0.428032i | ||||
\(57\) | 3.73841 | − | 1.00170i | 0.495164 | − | 0.132679i | ||||
\(58\) | −0.983127 | − | 3.66908i | −0.129091 | − | 0.481774i | ||||
\(59\) | 6.77889i | 0.882537i | 0.897375 | + | 0.441268i | \(0.145471\pi\) | ||||
−0.897375 | + | 0.441268i | \(0.854529\pi\) | |||||||
\(60\) | −2.16642 | + | 2.56587i | −0.279684 | + | 0.331252i | ||||
\(61\) | −10.1476 | − | 5.85874i | −1.29927 | − | 0.750135i | −0.318993 | − | 0.947757i | \(-0.603345\pi\) |
−0.980278 | + | 0.197622i | \(0.936678\pi\) | |||||||
\(62\) | 4.92178 | + | 1.31879i | 0.625066 | + | 0.167486i | ||||
\(63\) | −0.712774 | + | 2.66011i | −0.0898011 | + | 0.335142i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 2.76431 | + | 0.496141i | 0.342870 | + | 0.0615387i | ||||
\(66\) | −4.39904 | − | 7.61937i | −0.541485 | − | 0.937879i | ||||
\(67\) | 3.47065 | − | 12.9526i | 0.424007 | − | 1.58242i | −0.342074 | − | 0.939673i | \(-0.611129\pi\) |
0.766081 | − | 0.642744i | \(-0.222204\pi\) | |||||||
\(68\) | 1.57923 | + | 5.89376i | 0.191509 | + | 0.714723i | ||||
\(69\) | −1.35037 | + | 2.33891i | −0.162566 | + | 0.281572i | ||||
\(70\) | 6.78916 | − | 4.72296i | 0.811460 | − | 0.564501i | ||||
\(71\) | 4.34431 | + | 2.50819i | 0.515574 | + | 0.297667i | 0.735122 | − | 0.677935i | \(-0.237125\pi\) |
−0.219548 | + | 0.975602i | \(0.570458\pi\) | |||||||
\(72\) | 0.192713 | + | 0.719216i | 0.0227115 | + | 0.0847604i | ||||
\(73\) | 13.3372 | − | 3.57369i | 1.56100 | − | 0.418269i | 0.628021 | − | 0.778196i | \(-0.283865\pi\) |
0.932980 | + | 0.359927i | \(0.117199\pi\) | |||||||
\(74\) | −7.08447 | + | 4.09022i | −0.823553 | + | 0.475478i | ||||
\(75\) | 6.82476 | − | 3.13177i | 0.788055 | − | 0.361626i | ||||
\(76\) | −2.23183 | + | 1.28855i | −0.256008 | + | 0.147806i | ||||
\(77\) | 5.60804 | + | 20.9295i | 0.639096 | + | 2.38514i | ||||
\(78\) | −1.33378 | + | 1.33378i | −0.151021 | + | 0.151021i | ||||
\(79\) | −3.69801 | − | 2.13505i | −0.416058 | − | 0.240211i | 0.277331 | − | 0.960774i | \(-0.410550\pi\) |
−0.693389 | + | 0.720563i | \(0.743883\pi\) | |||||||
\(80\) | 0.951195 | − | 2.02367i | 0.106347 | − | 0.226253i | ||||
\(81\) | −3.10591 | − | 5.37960i | −0.345102 | − | 0.597733i | ||||
\(82\) | −8.06719 | + | 8.06719i | −0.890872 | + | 0.890872i | ||||
\(83\) | 13.6163 | + | 3.64847i | 1.49458 | + | 0.400472i | 0.911281 | − | 0.411785i | \(-0.135095\pi\) |
0.583300 | + | 0.812257i | \(0.301761\pi\) | |||||||
\(84\) | 5.55460i | 0.606057i | ||||||||
\(85\) | 2.41028 | − | 13.4292i | 0.261432 | − | 1.45660i | ||||
\(86\) | 5.40273 | − | 3.71625i | 0.582592 | − | 0.400733i | ||||
\(87\) | −4.03377 | − | 4.03377i | −0.432466 | − | 0.432466i | ||||
\(88\) | 4.14248 | + | 4.14248i | 0.441590 | + | 0.441590i | ||||
\(89\) | 4.93483 | + | 8.54737i | 0.523091 | + | 0.906020i | 0.999639 | + | 0.0268713i | \(0.00855442\pi\) |
−0.476548 | + | 0.879148i | \(0.658112\pi\) | |||||||
\(90\) | 0.294127 | − | 1.63876i | 0.0310037 | − | 0.172741i | ||||
\(91\) | 4.02306 | − | 2.32272i | 0.421731 | − | 0.243487i | ||||
\(92\) | 0.465444 | − | 1.73706i | 0.0485258 | − | 0.181101i | ||||
\(93\) | 7.39154 | − | 1.98056i | 0.766467 | − | 0.205374i | ||||
\(94\) | 9.40322 | 0.969868 | ||||||||
\(95\) | 5.74213 | − | 0.484685i | 0.589130 | − | 0.0497277i | ||||
\(96\) | 0.750902 | + | 1.30060i | 0.0766386 | + | 0.132742i | ||||
\(97\) | 0.604877 | + | 0.604877i | 0.0614160 | + | 0.0614160i | 0.737148 | − | 0.675732i | \(-0.236172\pi\) |
−0.675732 | + | 0.737148i | \(0.736172\pi\) | |||||||
\(98\) | 1.72886 | − | 6.45221i | 0.174642 | − | 0.651771i | ||||
\(99\) | 3.77765 | + | 2.18103i | 0.379668 | + | 0.219201i | ||||
\(100\) | −3.84980 | + | 3.19046i | −0.384980 | + | 0.319046i | ||||
\(101\) | −5.40532 | + | 9.36229i | −0.537849 | + | 0.931582i | 0.461170 | + | 0.887312i | \(0.347430\pi\) |
−0.999020 | + | 0.0442706i | \(0.985904\pi\) | |||||||
\(102\) | 6.47957 | + | 6.47957i | 0.641573 | + | 0.641573i | ||||
\(103\) | 1.53443 | + | 5.72658i | 0.151192 | + | 0.564257i | 0.999401 | + | 0.0345957i | \(0.0110143\pi\) |
−0.848209 | + | 0.529661i | \(0.822319\pi\) | |||||||
\(104\) | 0.627995 | − | 1.08772i | 0.0615799 | − | 0.106660i | ||||
\(105\) | 5.28351 | − | 11.2407i | 0.515618 | − | 1.09698i | ||||
\(106\) | −4.32540 | + | 2.49727i | −0.420120 | + | 0.242557i | ||||
\(107\) | −5.82762 | − | 5.82762i | −0.563377 | − | 0.563377i | 0.366888 | − | 0.930265i | \(-0.380423\pi\) |
−0.930265 | + | 0.366888i | \(0.880423\pi\) | |||||||
\(108\) | 3.97651 | + | 3.97651i | 0.382640 | + | 0.382640i | ||||
\(109\) | −13.7305 | + | 7.92731i | −1.31514 | + | 0.759299i | −0.982943 | − | 0.183910i | \(-0.941125\pi\) |
−0.332201 | + | 0.943209i | \(0.607791\pi\) | |||||||
\(110\) | −4.44269 | − | 12.3233i | −0.423594 | − | 1.17498i | ||||
\(111\) | −6.14271 | + | 10.6395i | −0.583040 | + | 1.00985i | ||||
\(112\) | −0.957274 | − | 3.57260i | −0.0904539 | − | 0.337579i | ||||
\(113\) | 4.21257 | + | 4.21257i | 0.396285 | + | 0.396285i | 0.876921 | − | 0.480635i | \(-0.159594\pi\) |
−0.480635 | + | 0.876921i | \(0.659594\pi\) | |||||||
\(114\) | −1.93514 | + | 3.35176i | −0.181243 | + | 0.313921i | ||||
\(115\) | −2.59418 | + | 3.07250i | −0.241909 | + | 0.286512i | ||||
\(116\) | 3.28961 | + | 1.89925i | 0.305432 | + | 0.176341i | ||||
\(117\) | 0.242046 | − | 0.903328i | 0.0223772 | − | 0.0835127i | ||||
\(118\) | −4.79340 | − | 4.79340i | −0.441268 | − | 0.441268i | ||||
\(119\) | −11.2839 | − | 19.5443i | −1.03439 | − | 1.79162i | ||||
\(120\) | −0.282451 | − | 3.34623i | −0.0257841 | − | 0.305468i | ||||
\(121\) | 23.3202 | 2.12002 | ||||||||
\(122\) | 11.3182 | − | 3.03271i | 1.02470 | − | 0.274568i | ||||
\(123\) | −4.43452 | + | 16.5498i | −0.399847 | + | 1.49225i | ||||
\(124\) | −4.41274 | + | 2.54770i | −0.396276 | + | 0.228790i | ||||
\(125\) | 10.8255 | − | 2.79451i | 0.968259 | − | 0.249949i | ||||
\(126\) | −1.37697 | − | 2.38499i | −0.122671 | − | 0.212472i | ||||
\(127\) | 1.92210 | + | 1.92210i | 0.170559 | + | 0.170559i | 0.787225 | − | 0.616666i | \(-0.211517\pi\) |
−0.616666 | + | 0.787225i | \(0.711517\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | 4.23626 | − | 8.89027i | 0.372981 | − | 0.782745i | ||||
\(130\) | −2.30548 | + | 1.60384i | −0.202204 | + | 0.140666i | ||||
\(131\) | − | 9.53894i | − | 0.833421i | −0.909039 | − | 0.416711i | \(-0.863183\pi\) | ||
0.909039 | − | 0.416711i | \(-0.136817\pi\) | |||||||
\(132\) | 8.49830 | + | 2.27711i | 0.739682 | + | 0.198197i | ||||
\(133\) | 6.73992 | − | 6.73992i | 0.584425 | − | 0.584425i | ||||
\(134\) | 6.70478 | + | 11.6130i | 0.579205 | + | 1.00321i | ||||
\(135\) | −4.26470 | − | 11.8296i | −0.367047 | − | 1.01813i | ||||
\(136\) | −5.28420 | − | 3.05083i | −0.453116 | − | 0.261607i | ||||
\(137\) | 1.48924 | − | 1.48924i | 0.127234 | − | 0.127234i | −0.640622 | − | 0.767856i | \(-0.721323\pi\) |
0.767856 | + | 0.640622i | \(0.221323\pi\) | |||||||
\(138\) | −0.699005 | − | 2.60872i | −0.0595032 | − | 0.222069i | ||||
\(139\) | 2.50765 | − | 1.44779i | 0.212696 | − | 0.122800i | −0.389868 | − | 0.920871i | \(-0.627479\pi\) |
0.602564 | + | 0.798071i | \(0.294146\pi\) | |||||||
\(140\) | −1.46103 | + | 8.14030i | −0.123480 | + | 0.687981i | ||||
\(141\) | 12.2298 | − | 7.06089i | 1.02994 | − | 0.594634i | ||||
\(142\) | −4.84544 | + | 1.29833i | −0.406621 | + | 0.108954i | ||||
\(143\) | −1.90440 | − | 7.10730i | −0.159254 | − | 0.594343i | ||||
\(144\) | −0.644831 | − | 0.372294i | −0.0537360 | − | 0.0310245i | ||||
\(145\) | −4.85051 | − | 6.97252i | −0.402813 | − | 0.579036i | ||||
\(146\) | −6.90384 | + | 11.9578i | −0.571366 | + | 0.989635i | ||||
\(147\) | −2.59641 | − | 9.68994i | −0.214148 | − | 0.799213i | ||||
\(148\) | 2.11725 | − | 7.90170i | 0.174037 | − | 0.649516i | ||||
\(149\) | 6.10509 | + | 10.5743i | 0.500149 | + | 0.866283i | 1.00000 | 0.000171762i | \(5.46735e-5\pi\) | |
−0.499851 | + | 0.866111i | \(0.666612\pi\) | |||||||
\(150\) | −2.61133 | + | 7.04033i | −0.213215 | + | 0.574841i | ||||
\(151\) | 7.45280i | 0.606500i | 0.952911 | + | 0.303250i | \(0.0980717\pi\) | ||||
−0.952911 | + | 0.303250i | \(0.901928\pi\) | |||||||
\(152\) | 0.667000 | − | 2.48928i | 0.0541009 | − | 0.201907i | ||||
\(153\) | −4.38842 | − | 1.17587i | −0.354782 | − | 0.0950637i | ||||
\(154\) | −18.7649 | − | 10.8339i | −1.51212 | − | 0.873021i | ||||
\(155\) | 11.3533 | − | 0.958315i | 0.911917 | − | 0.0769737i | ||||
\(156\) | − | 1.88625i | − | 0.151021i | ||||||
\(157\) | 3.23061 | + | 12.0568i | 0.257831 | + | 0.962237i | 0.966494 | + | 0.256690i | \(0.0826320\pi\) |
−0.708663 | + | 0.705547i | \(0.750701\pi\) | |||||||
\(158\) | 4.12459 | − | 1.10518i | 0.328135 | − | 0.0879234i | ||||
\(159\) | −3.75041 | + | 6.49590i | −0.297427 | + | 0.515159i | ||||
\(160\) | 0.758352 | + | 2.10355i | 0.0599530 | + | 0.166300i | ||||
\(161\) | 6.65137i | 0.524201i | ||||||||
\(162\) | 6.00017 | + | 1.60774i | 0.471417 | + | 0.126316i | ||||
\(163\) | −14.2561 | + | 3.81991i | −1.11663 | + | 0.299199i | −0.769517 | − | 0.638626i | \(-0.779503\pi\) |
−0.347108 | + | 0.937825i | \(0.612836\pi\) | |||||||
\(164\) | − | 11.4087i | − | 0.890872i | ||||||
\(165\) | −15.0317 | − | 12.6917i | −1.17022 | − | 0.988044i | ||||
\(166\) | −12.2080 | + | 7.04830i | −0.947526 | + | 0.547054i | ||||
\(167\) | −0.296153 | + | 1.10526i | −0.0229170 | + | 0.0855274i | −0.976437 | − | 0.215802i | \(-0.930764\pi\) |
0.953520 | + | 0.301329i | \(0.0974302\pi\) | |||||||
\(168\) | −3.92770 | − | 3.92770i | −0.303029 | − | 0.303029i | ||||
\(169\) | 9.89217 | − | 5.71125i | 0.760936 | − | 0.439327i | ||||
\(170\) | 7.79152 | + | 11.2002i | 0.597582 | + | 0.859014i | ||||
\(171\) | − | 1.91887i | − | 0.146740i | ||||||
\(172\) | −1.19252 | + | 6.44809i | −0.0909292 | + | 0.491662i | ||||
\(173\) | −13.2428 | + | 13.2428i | −1.00683 | + | 1.00683i | −0.00685416 | + | 0.999977i | \(0.502182\pi\) |
−0.999977 | + | 0.00685416i | \(0.997818\pi\) | |||||||
\(174\) | 5.70461 | 0.432466 | ||||||||
\(175\) | 10.6996 | − | 15.0835i | 0.808817 | − | 1.14021i | ||||
\(176\) | −5.85835 | −0.441590 | ||||||||
\(177\) | −9.83367 | − | 2.63492i | −0.739144 | − | 0.198053i | ||||
\(178\) | −9.53335 | − | 2.55445i | −0.714555 | − | 0.191464i | ||||
\(179\) | −0.117211 | + | 0.203016i | −0.00876079 | + | 0.0151741i | −0.870373 | − | 0.492394i | \(-0.836122\pi\) |
0.861612 | + | 0.507568i | \(0.169455\pi\) | |||||||
\(180\) | 0.950800 | + | 1.36676i | 0.0708685 | + | 0.101872i | ||||
\(181\) | −0.256825 | + | 0.444833i | −0.0190896 | + | 0.0330642i | −0.875412 | − | 0.483377i | \(-0.839410\pi\) |
0.856323 | + | 0.516441i | \(0.172743\pi\) | |||||||
\(182\) | −1.20233 | + | 4.48714i | −0.0891223 | + | 0.332609i | ||||
\(183\) | 12.4432 | − | 12.4432i | 0.919828 | − | 0.919828i | ||||
\(184\) | 0.899168 | + | 1.55740i | 0.0662875 | + | 0.114813i | ||||
\(185\) | −11.8007 | + | 13.9765i | −0.867603 | + | 1.02757i | ||||
\(186\) | −3.82614 | + | 6.62707i | −0.280546 | + | 0.485920i | ||||
\(187\) | −34.5277 | + | 9.25166i | −2.52491 | + | 0.676549i | ||||
\(188\) | −6.64908 | + | 6.64908i | −0.484934 | + | 0.484934i | ||||
\(189\) | −18.0131 | − | 10.3999i | −1.31026 | − | 0.756478i | ||||
\(190\) | −3.71758 | + | 4.40302i | −0.269701 | + | 0.319429i | ||||
\(191\) | 6.00285 | − | 3.46575i | 0.434351 | − | 0.250773i | −0.266848 | − | 0.963739i | \(-0.585982\pi\) |
0.701198 | + | 0.712966i | \(0.252649\pi\) | |||||||
\(192\) | −1.45063 | − | 0.388695i | −0.104690 | − | 0.0280517i | ||||
\(193\) | 4.34418 | − | 4.34418i | 0.312701 | − | 0.312701i | −0.533254 | − | 0.845955i | \(-0.679031\pi\) |
0.845955 | + | 0.533254i | \(0.179031\pi\) | |||||||
\(194\) | −0.855426 | −0.0614160 | ||||||||
\(195\) | −1.79419 | + | 3.81714i | −0.128485 | + | 0.273351i | ||||
\(196\) | 3.33991 | + | 5.78489i | 0.238565 | + | 0.413206i | ||||
\(197\) | 2.27640 | − | 0.609958i | 0.162186 | − | 0.0434577i | −0.176812 | − | 0.984245i | \(-0.556578\pi\) |
0.338999 | + | 0.940787i | \(0.389912\pi\) | |||||||
\(198\) | −4.21342 | + | 1.12898i | −0.299435 | + | 0.0802332i | ||||
\(199\) | 16.6372 | 1.17938 | 0.589688 | − | 0.807631i | \(-0.299251\pi\) | ||||
0.589688 | + | 0.807631i | \(0.299251\pi\) | |||||||
\(200\) | 0.466228 | − | 4.97822i | 0.0329673 | − | 0.352013i | ||||
\(201\) | 17.4405 | + | 10.0693i | 1.23016 | + | 0.710231i | ||||
\(202\) | −2.79800 | − | 10.4423i | −0.196866 | − | 0.734716i | ||||
\(203\) | −13.5705 | − | 3.63622i | −0.952465 | − | 0.255212i | ||||
\(204\) | −9.16350 | −0.641573 | ||||||||
\(205\) | −10.8519 | + | 23.0875i | −0.757931 | + | 1.61250i | ||||
\(206\) | −5.13431 | − | 2.96430i | −0.357725 | − | 0.206532i | ||||
\(207\) | 0.946829 | + | 0.946829i | 0.0658091 | + | 0.0658091i | ||||
\(208\) | 0.325074 | + | 1.21319i | 0.0225398 | + | 0.0841198i | ||||
\(209\) | −7.54875 | − | 13.0748i | −0.522158 | − | 0.904404i | ||||
\(210\) | 4.21235 | + | 11.6844i | 0.290680 | + | 0.806297i | ||||
\(211\) | − | 9.79097i | − | 0.674038i | −0.941498 | − | 0.337019i | \(-0.890581\pi\) | ||
0.941498 | − | 0.337019i | \(-0.109419\pi\) | |||||||
\(212\) | 1.29268 | − | 4.82436i | 0.0887819 | − | 0.331338i | ||||
\(213\) | −5.32706 | + | 5.32706i | −0.365004 | + | 0.365004i | ||||
\(214\) | 8.24150 | 0.563377 | ||||||||
\(215\) | 8.54666 | − | 11.9145i | 0.582878 | − | 0.812560i | ||||
\(216\) | −5.62363 | −0.382640 | ||||||||
\(217\) | 13.3261 | − | 13.3261i | 0.904635 | − | 0.904635i | ||||
\(218\) | 4.10348 | − | 15.3144i | 0.277923 | − | 1.03722i | ||||
\(219\) | 20.7364i | 1.40124i | ||||||||
\(220\) | 11.8553 | + | 5.57243i | 0.799287 | + | 0.375693i | ||||
\(221\) | 3.83181 | + | 6.63690i | 0.257756 | + | 0.446446i | ||||
\(222\) | −3.17970 | − | 11.8668i | −0.213407 | − | 0.796447i | ||||
\(223\) | 5.54239 | + | 5.54239i | 0.371146 | + | 0.371146i | 0.867895 | − | 0.496749i | \(-0.165473\pi\) |
−0.496749 | + | 0.867895i | \(0.665473\pi\) | |||||||
\(224\) | 3.20310 | + | 1.84931i | 0.214016 | + | 0.123562i | ||||
\(225\) | −0.624050 | − | 3.67026i | −0.0416033 | − | 0.244684i | ||||
\(226\) | −5.95747 | −0.396285 | ||||||||
\(227\) | −19.3485 | − | 5.18440i | −1.28420 | − | 0.344101i | −0.448747 | − | 0.893659i | \(-0.648129\pi\) |
−0.835455 | + | 0.549558i | \(0.814796\pi\) | |||||||
\(228\) | −1.00170 | − | 3.73841i | −0.0663394 | − | 0.247582i | ||||
\(229\) | −8.31230 | − | 4.79911i | −0.549292 | − | 0.317134i | 0.199544 | − | 0.979889i | \(-0.436054\pi\) |
−0.748837 | + | 0.662755i | \(0.769387\pi\) | |||||||
\(230\) | −0.338221 | − | 4.00695i | −0.0223017 | − | 0.264211i | ||||
\(231\) | −32.5408 | −2.14103 | ||||||||
\(232\) | −3.66908 | + | 0.983127i | −0.240887 | + | 0.0645454i | ||||
\(233\) | 1.51192 | − | 0.405117i | 0.0990490 | − | 0.0265401i | −0.208954 | − | 0.977925i | \(-0.567006\pi\) |
0.308003 | + | 0.951385i | \(0.400339\pi\) | |||||||
\(234\) | 0.467597 | + | 0.809901i | 0.0305678 | + | 0.0529449i | ||||
\(235\) | 19.7801 | − | 7.13095i | 1.29031 | − | 0.465172i | ||||
\(236\) | 6.77889 | 0.441268 | ||||||||
\(237\) | 4.53456 | − | 4.53456i | 0.294551 | − | 0.294551i | ||||
\(238\) | 21.7988 | + | 5.84097i | 1.41301 | + | 0.378614i | ||||
\(239\) | 13.7842 | − | 7.95829i | 0.891623 | − | 0.514779i | 0.0171500 | − | 0.999853i | \(-0.494541\pi\) |
0.874473 | + | 0.485074i | \(0.161207\pi\) | |||||||
\(240\) | 2.56587 | + | 2.16642i | 0.165626 | + | 0.139842i | ||||
\(241\) | −4.13497 | − | 2.38733i | −0.266357 | − | 0.153781i | 0.360874 | − | 0.932615i | \(-0.382478\pi\) |
−0.627231 | + | 0.778833i | \(0.715812\pi\) | |||||||
\(242\) | −16.4899 | + | 16.4899i | −1.06001 | + | 1.06001i | ||||
\(243\) | −7.28497 | + | 1.95200i | −0.467331 | + | 0.125221i | ||||
\(244\) | −5.85874 | + | 10.1476i | −0.375067 | + | 0.649636i | ||||
\(245\) | −1.25630 | − | 14.8836i | −0.0802623 | − | 0.950878i | ||||
\(246\) | −8.56683 | − | 14.8382i | −0.546201 | − | 0.946048i | ||||
\(247\) | −2.28876 | + | 2.28876i | −0.145630 | + | 0.145630i | ||||
\(248\) | 1.31879 | − | 4.92178i | 0.0837430 | − | 0.312533i | ||||
\(249\) | −10.5852 | + | 18.3340i | −0.670808 | + | 1.16187i | ||||
\(250\) | −5.67874 | + | 9.63078i | −0.359155 | + | 0.609104i | ||||
\(251\) | −2.24164 | + | 3.88263i | −0.141491 | + | 0.245069i | −0.928058 | − | 0.372435i | \(-0.878523\pi\) |
0.786567 | + | 0.617504i | \(0.211856\pi\) | |||||||
\(252\) | 2.66011 | + | 0.712774i | 0.167571 | + | 0.0449005i | ||||
\(253\) | 10.1763 | + | 2.72673i | 0.639778 | + | 0.171428i | ||||
\(254\) | −2.71826 | −0.170559 | ||||||||
\(255\) | 18.5439 | + | 8.71627i | 1.16126 | + | 0.545834i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.40996 | − | 8.40996i | 0.524599 | − | 0.524599i | −0.394358 | − | 0.918957i | \(-0.629033\pi\) |
0.918957 | + | 0.394358i | \(0.129033\pi\) | |||||||
\(258\) | 3.29088 | + | 9.28185i | 0.204882 | + | 0.577863i | ||||
\(259\) | 30.2564i | 1.88004i | ||||||||
\(260\) | 0.496141 | − | 2.76431i | 0.0307694 | − | 0.171435i | ||||
\(261\) | −2.44940 | + | 1.41416i | −0.151614 | + | 0.0875344i | ||||
\(262\) | 6.74505 | + | 6.74505i | 0.416711 | + | 0.416711i | ||||
\(263\) | 5.15600 | − | 19.2424i | 0.317933 | − | 1.18654i | −0.603296 | − | 0.797518i | \(-0.706146\pi\) |
0.921228 | − | 0.389023i | \(-0.127187\pi\) | |||||||
\(264\) | −7.61937 | + | 4.39904i | −0.468940 | + | 0.270742i | ||||
\(265\) | −7.20487 | + | 8.53331i | −0.442591 | + | 0.524197i | ||||
\(266\) | 9.53169i | 0.584425i | ||||||||
\(267\) | −14.3172 | + | 3.83629i | −0.876200 | + | 0.234777i | ||||
\(268\) | −12.9526 | − | 3.47065i | −0.791209 | − | 0.212004i | ||||
\(269\) | 0.453147i | 0.0276288i | 0.999905 | + | 0.0138144i | \(0.00439741\pi\) | ||||
−0.999905 | + | 0.0138144i | \(0.995603\pi\) | |||||||
\(270\) | 11.3804 | + | 5.34917i | 0.692587 | + | 0.325540i | ||||
\(271\) | −4.31181 | + | 7.46827i | −0.261924 | + | 0.453665i | −0.966753 | − | 0.255712i | \(-0.917690\pi\) |
0.704829 | + | 0.709377i | \(0.251024\pi\) | |||||||
\(272\) | 5.89376 | − | 1.57923i | 0.357361 | − | 0.0957547i | ||||
\(273\) | 1.80566 | + | 6.73880i | 0.109283 | + | 0.407851i | ||||
\(274\) | 2.10610i | 0.127234i | ||||||||
\(275\) | −18.6908 | − | 22.5535i | −1.12710 | − | 1.36003i | ||||
\(276\) | 2.33891 | + | 1.35037i | 0.140786 | + | 0.0812829i | ||||
\(277\) | −0.190909 | − | 0.0511540i | −0.0114706 | − | 0.00307355i | 0.253079 | − | 0.967446i | \(-0.418557\pi\) |
−0.264550 | + | 0.964372i | \(0.585223\pi\) | |||||||
\(278\) | −0.749433 | + | 2.79692i | −0.0449480 | + | 0.167748i | ||||
\(279\) | − | 3.79397i | − | 0.227139i | ||||||
\(280\) | −4.72296 | − | 6.78916i | −0.282251 | − | 0.405730i | ||||
\(281\) | 4.80170 | + | 8.31678i | 0.286445 | + | 0.496138i | 0.972959 | − | 0.230979i | \(-0.0741930\pi\) |
−0.686513 | + | 0.727117i | \(0.740860\pi\) | |||||||
\(282\) | −3.65499 | + | 13.6406i | −0.217651 | + | 0.812286i | ||||
\(283\) | −3.23477 | − | 12.0723i | −0.192287 | − | 0.717624i | −0.992953 | − | 0.118513i | \(-0.962187\pi\) |
0.800666 | − | 0.599111i | \(-0.204479\pi\) | |||||||
\(284\) | 2.50819 | − | 4.34431i | 0.148833 | − | 0.257787i | ||||
\(285\) | −1.52884 | + | 8.51810i | −0.0905606 | + | 0.504569i | ||||
\(286\) | 6.37223 | + | 3.67901i | 0.376798 | + | 0.217544i | ||||
\(287\) | 10.9213 | + | 40.7588i | 0.644663 | + | 2.40591i | ||||
\(288\) | 0.719216 | − | 0.192713i | 0.0423802 | − | 0.0113557i | ||||
\(289\) | 17.5200 | − | 10.1152i | 1.03059 | − | 0.595010i | ||||
\(290\) | 8.36014 | + | 1.50049i | 0.490924 | + | 0.0881117i | ||||
\(291\) | −1.11257 | + | 0.642341i | −0.0652198 | + | 0.0376547i | ||||
\(292\) | −3.57369 | − | 13.3372i | −0.209135 | − | 0.780501i | ||||
\(293\) | −5.41287 | + | 5.41287i | −0.316223 | + | 0.316223i | −0.847314 | − | 0.531091i | \(-0.821782\pi\) |
0.531091 | + | 0.847314i | \(0.321782\pi\) | |||||||
\(294\) | 8.68776 | + | 5.01588i | 0.506681 | + | 0.292532i | ||||
\(295\) | −13.7182 | − | 6.44805i | −0.798706 | − | 0.375420i | ||||
\(296\) | 4.09022 | + | 7.08447i | 0.237739 | + | 0.411776i | ||||
\(297\) | −23.2958 | + | 23.2958i | −1.35176 | + | 1.35176i | ||||
\(298\) | −11.7941 | − | 3.16023i | −0.683216 | − | 0.183067i | ||||
\(299\) | − | 2.25869i | − | 0.130623i | ||||||
\(300\) | −3.13177 | − | 6.82476i | −0.180813 | − | 0.394028i | ||||
\(301\) | −1.91218 | − | 24.1780i | −0.110216 | − | 1.39360i | ||||
\(302\) | −5.26992 | − | 5.26992i | −0.303250 | − | 0.303250i | ||||
\(303\) | −11.4802 | − | 11.4802i | −0.659520 | − | 0.659520i | ||||
\(304\) | 1.28855 | + | 2.23183i | 0.0739031 | + | 0.128004i | ||||
\(305\) | 21.5085 | − | 14.9626i | 1.23157 | − | 0.856758i | ||||
\(306\) | 3.93455 | − | 2.27161i | 0.224923 | − | 0.129859i | ||||
\(307\) | 2.05993 | − | 7.68778i | 0.117567 | − | 0.438765i | −0.881899 | − | 0.471438i | \(-0.843735\pi\) |
0.999466 | + | 0.0326728i | \(0.0104019\pi\) | |||||||
\(308\) | 20.9295 | − | 5.60804i | 1.19257 | − | 0.319548i | ||||
\(309\) | −8.90358 | −0.506507 | ||||||||
\(310\) | −7.35035 | + | 8.70561i | −0.417472 | + | 0.494446i | ||||
\(311\) | −5.13592 | − | 8.89567i | −0.291231 | − | 0.504427i | 0.682870 | − | 0.730540i | \(-0.260732\pi\) |
−0.974101 | + | 0.226113i | \(0.927398\pi\) | |||||||
\(312\) | 1.33378 | + | 1.33378i | 0.0755104 | + | 0.0755104i | ||||
\(313\) | 5.83491 | − | 21.7762i | 0.329809 | − | 1.23086i | −0.579580 | − | 0.814916i | \(-0.696783\pi\) |
0.909389 | − | 0.415948i | \(-0.136550\pi\) | |||||||
\(314\) | −10.8098 | − | 6.24106i | −0.610034 | − | 0.352203i | ||||
\(315\) | −4.70519 | − | 3.97270i | −0.265107 | − | 0.223836i | ||||
\(316\) | −2.13505 | + | 3.69801i | −0.120106 | + | 0.208029i | ||||
\(317\) | −1.37821 | − | 1.37821i | −0.0774082 | − | 0.0774082i | 0.667343 | − | 0.744751i | \(-0.267432\pi\) |
−0.744751 | + | 0.667343i | \(0.767432\pi\) | |||||||
\(318\) | −1.94136 | − | 7.24524i | −0.108866 | − | 0.406293i | ||||
\(319\) | −11.1265 | + | 19.2717i | −0.622964 | + | 1.07901i | ||||
\(320\) | −2.02367 | − | 0.951195i | −0.113126 | − | 0.0531734i | ||||
\(321\) | 10.7189 | − | 6.18855i | 0.598270 | − | 0.345411i | ||||
\(322\) | −4.70323 | − | 4.70323i | −0.262101 | − | 0.262101i | ||||
\(323\) | 11.1189 | + | 11.1189i | 0.618674 | + | 0.618674i | ||||
\(324\) | −5.37960 | + | 3.10591i | −0.298867 | + | 0.172551i | ||||
\(325\) | −3.63342 | + | 5.12211i | −0.201546 | + | 0.284123i | ||||
\(326\) | 7.37951 | − | 12.7817i | 0.408713 | − | 0.707912i | ||||
\(327\) | −6.16262 | − | 22.9992i | −0.340793 | − | 1.27186i | ||||
\(328\) | 8.06719 | + | 8.06719i | 0.445436 | + | 0.445436i | ||||
\(329\) | 17.3895 | − | 30.1195i | 0.958713 | − | 1.66054i | ||||
\(330\) | 19.6034 | − | 1.65470i | 1.07913 | − | 0.0910881i | ||||
\(331\) | −6.66828 | − | 3.84993i | −0.366522 | − | 0.211611i | 0.305416 | − | 0.952219i | \(-0.401204\pi\) |
−0.671938 | + | 0.740608i | \(0.734538\pi\) | |||||||
\(332\) | 3.64847 | − | 13.6163i | 0.200236 | − | 0.747290i | ||||
\(333\) | 4.30702 | + | 4.30702i | 0.236023 | + | 0.236023i | ||||
\(334\) | −0.572123 | − | 0.990947i | −0.0313052 | − | 0.0542222i | ||||
\(335\) | 22.9106 | + | 19.3439i | 1.25174 | + | 1.05687i | ||||
\(336\) | 5.55460 | 0.303029 | ||||||||
\(337\) | 17.9758 | − | 4.81659i | 0.979203 | − | 0.262377i | 0.266494 | − | 0.963837i | \(-0.414135\pi\) |
0.712709 | + | 0.701460i | \(0.247468\pi\) | |||||||
\(338\) | −2.95636 | + | 11.0333i | −0.160805 | + | 0.600131i | ||||
\(339\) | −7.74829 | + | 4.47348i | −0.420829 | + | 0.242966i | ||||
\(340\) | −13.4292 | − | 2.41028i | −0.728298 | − | 0.130716i | ||||
\(341\) | −14.9253 | − | 25.8514i | −0.808250 | − | 1.39993i | ||||
\(342\) | 1.35685 | + | 1.35685i | 0.0733698 | + | 0.0733698i | ||||
\(343\) | 0.837388 | + | 0.837388i | 0.0452147 | + | 0.0452147i | ||||
\(344\) | −3.71625 | − | 5.40273i | −0.200367 | − | 0.291296i | ||||
\(345\) | −3.44872 | − | 4.95747i | −0.185673 | − | 0.266901i | ||||
\(346\) | − | 18.7281i | − | 1.00683i | ||||||
\(347\) | 17.5630 | + | 4.70600i | 0.942833 | + | 0.252631i | 0.697318 | − | 0.716762i | \(-0.254376\pi\) |
0.245515 | + | 0.969393i | \(0.421043\pi\) | |||||||
\(348\) | −4.03377 | + | 4.03377i | −0.216233 | + | 0.216233i | ||||
\(349\) | 14.9656 | + | 25.9211i | 0.801088 | + | 1.38753i | 0.918900 | + | 0.394490i | \(0.129079\pi\) |
−0.117812 | + | 0.993036i | \(0.537588\pi\) | |||||||
\(350\) | 3.09987 | + | 18.2315i | 0.165695 | + | 0.974513i | ||||
\(351\) | 6.11693 | + | 3.53161i | 0.326498 | + | 0.188503i | ||||
\(352\) | 4.14248 | − | 4.14248i | 0.220795 | − | 0.220795i | ||||
\(353\) | −4.18258 | − | 15.6096i | −0.222616 | − | 0.830815i | −0.983346 | − | 0.181746i | \(-0.941825\pi\) |
0.760729 | − | 0.649069i | \(-0.224841\pi\) | |||||||
\(354\) | 8.81663 | − | 5.09028i | 0.468598 | − | 0.270545i | ||||
\(355\) | −9.20802 | + | 6.40566i | −0.488711 | + | 0.339977i | ||||
\(356\) | 8.54737 | − | 4.93483i | 0.453010 | − | 0.261545i | ||||
\(357\) | 32.7375 | − | 8.77198i | 1.73265 | − | 0.464263i | ||||
\(358\) | −0.0606731 | − | 0.226435i | −0.00320667 | − | 0.0119675i | ||||
\(359\) | 23.8164 | + | 13.7504i | 1.25698 | + | 0.725719i | 0.972487 | − | 0.232959i | \(-0.0748408\pi\) |
0.284495 | + | 0.958678i | \(0.408174\pi\) | |||||||
\(360\) | −1.63876 | − | 0.294127i | −0.0863703 | − | 0.0155018i | ||||
\(361\) | 6.17930 | − | 10.7029i | 0.325226 | − | 0.563309i | ||||
\(362\) | −0.132942 | − | 0.496147i | −0.00698729 | − | 0.0260769i | ||||
\(363\) | −9.06447 | + | 33.8290i | −0.475761 | + | 1.77556i | ||||
\(364\) | −2.32272 | − | 4.02306i | −0.121743 | − | 0.210866i | ||||
\(365\) | −5.45431 | + | 30.3893i | −0.285492 | + | 1.59065i | ||||
\(366\) | 17.5974i | 0.919828i | ||||||||
\(367\) | 7.08146 | − | 26.4284i | 0.369649 | − | 1.37955i | −0.491358 | − | 0.870958i | \(-0.663499\pi\) |
0.861008 | − | 0.508592i | \(-0.169834\pi\) | |||||||
\(368\) | −1.73706 | − | 0.465444i | −0.0905505 | − | 0.0242629i | ||||
\(369\) | 7.35671 | + | 4.24740i | 0.382975 | + | 0.221111i | ||||
\(370\) | −1.53853 | − | 18.2272i | −0.0799845 | − | 0.947587i | ||||
\(371\) | 18.4729i | 0.959067i | ||||||||
\(372\) | −1.98056 | − | 7.39154i | −0.102687 | − | 0.383233i | ||||
\(373\) | −9.93714 | + | 2.66265i | −0.514526 | + | 0.137867i | −0.506733 | − | 0.862103i | \(-0.669147\pi\) |
−0.00779248 | + | 0.999970i | \(0.502480\pi\) | |||||||
\(374\) | 17.8728 | − | 30.9567i | 0.924183 | − | 1.60073i | ||||
\(375\) | −0.154007 | + | 16.7900i | −0.00795288 | + | 0.867030i | ||||
\(376\) | − | 9.40322i | − | 0.484934i | ||||||
\(377\) | 4.60832 | + | 1.23480i | 0.237341 | + | 0.0635953i | ||||
\(378\) | 20.0910 | − | 5.38336i | 1.03337 | − | 0.276890i | ||||
\(379\) | − | 21.7270i | − | 1.11604i | −0.829827 | − | 0.558020i | \(-0.811561\pi\) | ||
0.829827 | − | 0.558020i | \(-0.188439\pi\) | |||||||
\(380\) | −0.484685 | − | 5.74213i | −0.0248638 | − | 0.294565i | ||||
\(381\) | −3.53537 | + | 2.04114i | −0.181122 | + | 0.104571i | ||||
\(382\) | −1.79400 | + | 6.69531i | −0.0917891 | + | 0.342562i | ||||
\(383\) | −21.7891 | − | 21.7891i | −1.11337 | − | 1.11337i | −0.992691 | − | 0.120680i | \(-0.961493\pi\) |
−0.120680 | − | 0.992691i | \(-0.538507\pi\) | |||||||
\(384\) | 1.30060 | − | 0.750902i | 0.0663710 | − | 0.0383193i | ||||
\(385\) | −47.6887 | − | 8.55922i | −2.43044 | − | 0.436218i | ||||
\(386\) | 6.14360i | 0.312701i | ||||||||
\(387\) | −3.71396 | − | 3.16956i | −0.188791 | − | 0.161118i | ||||
\(388\) | 0.604877 | − | 0.604877i | 0.0307080 | − | 0.0307080i | ||||
\(389\) | 9.60057 | 0.486768 | 0.243384 | − | 0.969930i | \(-0.421742\pi\) | ||||
0.243384 | + | 0.969930i | \(0.421742\pi\) | |||||||
\(390\) | −1.43044 | − | 3.96781i | −0.0724332 | − | 0.200918i | ||||
\(391\) | −10.9728 | −0.554921 | ||||||||
\(392\) | −6.45221 | − | 1.72886i | −0.325886 | − | 0.0873208i | ||||
\(393\) | 13.8375 | + | 3.70774i | 0.698008 | + | 0.187031i | ||||
\(394\) | −1.17835 | + | 2.04096i | −0.0593644 | + | 0.102822i | ||||
\(395\) | 7.83814 | − | 5.45269i | 0.394380 | − | 0.274355i | ||||
\(396\) | 2.18103 | − | 3.77765i | 0.109601 | − | 0.189834i | ||||
\(397\) | −4.44076 | + | 16.5731i | −0.222875 | + | 0.831782i | 0.760369 | + | 0.649491i | \(0.225018\pi\) |
−0.983245 | + | 0.182291i | \(0.941649\pi\) | |||||||
\(398\) | −11.7642 | + | 11.7642i | −0.589688 | + | 0.589688i | ||||
\(399\) | 7.15736 | + | 12.3969i | 0.358316 | + | 0.620622i | ||||
\(400\) | 3.19046 | + | 3.84980i | 0.159523 | + | 0.192490i | ||||
\(401\) | −12.6033 | + | 21.8295i | −0.629377 | + | 1.09011i | 0.358300 | + | 0.933606i | \(0.383356\pi\) |
−0.987677 | + | 0.156506i | \(0.949977\pi\) | |||||||
\(402\) | −19.4523 | + | 5.21223i | −0.970194 | + | 0.259963i | ||||
\(403\) | −4.52532 | + | 4.52532i | −0.225422 | + | 0.225422i | ||||
\(404\) | 9.36229 | + | 5.40532i | 0.465791 | + | 0.268925i | ||||
\(405\) | 13.8409 | − | 1.16829i | 0.687757 | − | 0.0580527i | ||||
\(406\) | 12.1670 | − | 7.02463i | 0.603839 | − | 0.348626i | ||||
\(407\) | 46.2909 | + | 12.4036i | 2.29455 | + | 0.614824i | ||||
\(408\) | 6.47957 | − | 6.47957i | 0.320787 | − | 0.320787i | ||||
\(409\) | −9.19045 | −0.454438 | −0.227219 | − | 0.973844i | \(-0.572963\pi\) | ||||
−0.227219 | + | 0.973844i | \(0.572963\pi\) | |||||||
\(410\) | −8.65184 | − | 23.9988i | −0.427284 | − | 1.18521i | ||||
\(411\) | 1.58148 | + | 2.73920i | 0.0780085 | + | 0.135115i | ||||
\(412\) | 5.72658 | − | 1.53443i | 0.282129 | − | 0.0755961i | ||||
\(413\) | −24.2182 | + | 6.48926i | −1.19170 | + | 0.319316i | ||||
\(414\) | −1.33902 | −0.0658091 | ||||||||
\(415\) | −20.3350 | + | 24.0844i | −0.998207 | + | 1.18226i | ||||
\(416\) | −1.08772 | − | 0.627995i | −0.0533298 | − | 0.0307900i | ||||
\(417\) | 1.12550 | + | 4.20043i | 0.0551160 | + | 0.205696i | ||||
\(418\) | 14.5831 | + | 3.90752i | 0.713281 | + | 0.191123i | ||||
\(419\) | 4.94794 | 0.241723 | 0.120861 | − | 0.992669i | \(-0.461434\pi\) | ||||
0.120861 | + | 0.992669i | \(0.461434\pi\) | |||||||
\(420\) | −11.2407 | − | 5.28351i | −0.548489 | − | 0.257809i | ||||
\(421\) | 23.8893 | + | 13.7925i | 1.16430 | + | 0.672206i | 0.952330 | − | 0.305071i | \(-0.0986802\pi\) |
0.211966 | + | 0.977277i | \(0.432014\pi\) | |||||||
\(422\) | 6.92326 | + | 6.92326i | 0.337019 | + | 0.337019i | ||||
\(423\) | −1.81213 | − | 6.76295i | −0.0881086 | − | 0.328826i | ||||
\(424\) | 2.49727 | + | 4.32540i | 0.121278 | + | 0.210060i | ||||
\(425\) | 24.8835 | + | 17.6513i | 1.20703 | + | 0.856216i | ||||
\(426\) | − | 7.53361i | − | 0.365004i | ||||||
\(427\) | 11.2168 | − | 41.8618i | 0.542821 | − | 2.02584i | ||||
\(428\) | −5.82762 | + | 5.82762i | −0.281689 | + | 0.281689i | ||||
\(429\) | 11.0503 | 0.533514 | ||||||||
\(430\) | 2.38140 | + | 14.4682i | 0.114841 | + | 0.697719i | ||||
\(431\) | 3.40036 | 0.163790 | 0.0818948 | − | 0.996641i | \(-0.473903\pi\) | ||||
0.0818948 | + | 0.996641i | \(0.473903\pi\) | |||||||
\(432\) | 3.97651 | − | 3.97651i | 0.191320 | − | 0.191320i | ||||
\(433\) | −8.35525 | + | 31.1822i | −0.401527 | + | 1.49852i | 0.408844 | + | 0.912604i | \(0.365932\pi\) |
−0.810371 | + | 0.585917i | \(0.800735\pi\) | |||||||
\(434\) | 18.8460i | 0.904635i | ||||||||
\(435\) | 11.9999 | − | 4.32611i | 0.575352 | − | 0.207421i | ||||
\(436\) | 7.92731 | + | 13.7305i | 0.379649 | + | 0.657572i | ||||
\(437\) | −1.19949 | − | 4.47656i | −0.0573794 | − | 0.214143i | ||||
\(438\) | −14.6629 | − | 14.6629i | −0.700619 | − | 0.700619i | ||||
\(439\) | 28.9042 | + | 16.6878i | 1.37952 | + | 0.796467i | 0.992102 | − | 0.125436i | \(-0.0400330\pi\) |
0.387420 | + | 0.921903i | \(0.373366\pi\) | |||||||
\(440\) | −12.3233 | + | 4.44269i | −0.587490 | + | 0.211797i | ||||
\(441\) | −4.97370 | −0.236843 | ||||||||
\(442\) | −7.40250 | − | 1.98349i | −0.352101 | − | 0.0943451i | ||||
\(443\) | 6.86297 | + | 25.6129i | 0.326069 | + | 1.21691i | 0.913232 | + | 0.407439i | \(0.133578\pi\) |
−0.587163 | + | 0.809469i | \(0.699755\pi\) | |||||||
\(444\) | 10.6395 | + | 6.14271i | 0.504927 | + | 0.291520i | ||||
\(445\) | −21.9910 | + | 1.85623i | −1.04247 | + | 0.0879938i | ||||
\(446\) | −7.83812 | −0.371146 | ||||||||
\(447\) | −17.7125 | + | 4.74604i | −0.837771 | + | 0.224480i | ||||
\(448\) | −3.57260 | + | 0.957274i | −0.168789 | + | 0.0452270i | ||||
\(449\) | −15.3320 | − | 26.5558i | −0.723561 | − | 1.25324i | −0.959563 | − | 0.281492i | \(-0.909171\pi\) |
0.236002 | − | 0.971753i | \(-0.424163\pi\) | |||||||
\(450\) | 3.03654 | + | 2.15400i | 0.143144 | + | 0.101540i | ||||
\(451\) | 66.8363 | 3.14720 | ||||||||
\(452\) | 4.21257 | − | 4.21257i | 0.198143 | − | 0.198143i | ||||
\(453\) | −10.8113 | − | 2.89687i | −0.507957 | − | 0.136107i | ||||
\(454\) | 17.3473 | − | 10.0155i | 0.814151 | − | 0.470051i | ||||
\(455\) | 0.873688 | + | 10.3507i | 0.0409591 | + | 0.485248i | ||||
\(456\) | 3.35176 | + | 1.93514i | 0.156961 | + | 0.0906213i | ||||
\(457\) | 9.93087 | − | 9.93087i | 0.464546 | − | 0.464546i | −0.435596 | − | 0.900142i | \(-0.643462\pi\) |
0.900142 | + | 0.435596i | \(0.143462\pi\) | |||||||
\(458\) | 9.27117 | − | 2.48420i | 0.433213 | − | 0.116079i | ||||
\(459\) | 17.1568 | − | 29.7164i | 0.800809 | − | 1.38704i | ||||
\(460\) | 3.07250 | + | 2.59418i | 0.143256 | + | 0.120954i | ||||
\(461\) | 0.233783 | + | 0.404924i | 0.0108883 | + | 0.0188592i | 0.871418 | − | 0.490541i | \(-0.163201\pi\) |
−0.860530 | + | 0.509400i | \(0.829867\pi\) | |||||||
\(462\) | 23.0098 | − | 23.0098i | 1.07051 | − | 1.07051i | ||||
\(463\) | −2.20016 | + | 8.21109i | −0.102250 | + | 0.381602i | −0.998019 | − | 0.0629185i | \(-0.979959\pi\) |
0.895769 | + | 0.444520i | \(0.146626\pi\) | |||||||
\(464\) | 1.89925 | − | 3.28961i | 0.0881707 | − | 0.152716i | ||||
\(465\) | −3.02281 | + | 16.8419i | −0.140179 | + | 0.781025i | ||||
\(466\) | −0.782626 | + | 1.35555i | −0.0362545 | + | 0.0627946i | ||||
\(467\) | −29.5224 | − | 7.91049i | −1.36613 | − | 0.366054i | −0.500068 | − | 0.865986i | \(-0.666692\pi\) |
−0.866065 | + | 0.499932i | \(0.833358\pi\) | |||||||
\(468\) | −0.903328 | − | 0.242046i | −0.0417563 | − | 0.0111886i | ||||
\(469\) | 49.5969 | 2.29017 | ||||||||
\(470\) | −8.94429 | + | 19.0290i | −0.412570 | + | 0.877742i | ||||
\(471\) | −18.7457 | −0.863755 | ||||||||
\(472\) | −4.79340 | + | 4.79340i | −0.220634 | + | 0.220634i | ||||
\(473\) | −37.7752 | − | 6.98622i | −1.73690 | − | 0.321227i | ||||
\(474\) | 6.41283i | 0.294551i | ||||||||
\(475\) | −4.48104 | + | 12.0812i | −0.205604 | + | 0.554323i | ||||
\(476\) | −19.5443 | + | 11.2839i | −0.895810 | + | 0.517196i | ||||
\(477\) | 2.62964 | + | 2.62964i | 0.120403 | + | 0.120403i | ||||
\(478\) | −4.11951 | + | 15.3742i | −0.188422 | + | 0.703201i | ||||
\(479\) | 12.0014 | − | 6.92904i | 0.548360 | − | 0.316596i | −0.200100 | − | 0.979775i | \(-0.564127\pi\) |
0.748460 | + | 0.663180i | \(0.230793\pi\) | |||||||
\(480\) | −3.34623 | + | 0.282451i | −0.152734 | + | 0.0128921i | ||||
\(481\) | − | 10.2745i | − | 0.468479i | ||||||
\(482\) | 4.61196 | − | 1.23577i | 0.210069 | − | 0.0562879i | ||||
\(483\) | −9.64867 | − | 2.58535i | −0.439030 | − | 0.117638i | ||||
\(484\) | − | 23.3202i | − | 1.06001i | ||||||
\(485\) | −1.79943 | + | 0.648714i | −0.0817078 | + | 0.0294566i | ||||
\(486\) | 3.77098 | − | 6.53153i | 0.171055 | − | 0.296276i | ||||
\(487\) | −8.80058 | + | 2.35811i | −0.398792 | + | 0.106856i | −0.452641 | − | 0.891693i | \(-0.649518\pi\) |
0.0538482 | + | 0.998549i | \(0.482851\pi\) | |||||||
\(488\) | −3.03271 | − | 11.3182i | −0.137284 | − | 0.512352i | ||||
\(489\) | − | 22.1651i | − | 1.00234i | ||||||
\(490\) | 11.4126 | + | 9.63595i | 0.515570 | + | 0.435308i | ||||
\(491\) | −30.2587 | − | 17.4699i | −1.36556 | − | 0.788404i | −0.375199 | − | 0.926944i | \(-0.622426\pi\) |
−0.990357 | + | 0.138540i | \(0.955759\pi\) | |||||||
\(492\) | 16.5498 | + | 4.43452i | 0.746125 | + | 0.199924i | ||||
\(493\) | 5.99871 | − | 22.3875i | 0.270168 | − | 1.00828i | ||||
\(494\) | − | 3.23680i | − | 0.145630i | ||||||
\(495\) | −8.00695 | + | 5.57012i | −0.359886 | + | 0.250358i | ||||
\(496\) | 2.54770 | + | 4.41274i | 0.114395 | + | 0.198138i | ||||
\(497\) | −4.80204 | + | 17.9215i | −0.215401 | + | 0.803888i | ||||
\(498\) | −5.47928 | − | 20.4490i | −0.245533 | − | 0.916340i | ||||
\(499\) | 0.476911 | − | 0.826034i | 0.0213495 | − | 0.0369784i | −0.855153 | − | 0.518375i | \(-0.826537\pi\) |
0.876503 | + | 0.481397i | \(0.159870\pi\) | |||||||
\(500\) | −2.79451 | − | 10.8255i | −0.124974 | − | 0.484130i | ||||
\(501\) | −1.48821 | − | 0.859217i | −0.0664882 | − | 0.0383870i | ||||
\(502\) | −1.16036 | − | 4.33051i | −0.0517893 | − | 0.193280i | ||||
\(503\) | −20.8866 | + | 5.59656i | −0.931289 | + | 0.249538i | −0.692404 | − | 0.721510i | \(-0.743449\pi\) |
−0.238885 | + | 0.971048i | \(0.576782\pi\) | |||||||
\(504\) | −2.38499 | + | 1.37697i | −0.106236 | + | 0.0613353i | ||||
\(505\) | −13.8046 | − | 19.8439i | −0.614298 | − | 0.883043i | ||||
\(506\) | −9.12382 | + | 5.26764i | −0.405603 | + | 0.234175i | ||||
\(507\) | 4.43987 | + | 16.5698i | 0.197181 | + | 0.735891i | ||||
\(508\) | 1.92210 | − | 1.92210i | 0.0852794 | − | 0.0852794i | ||||
\(509\) | −11.1861 | − | 6.45828i | −0.495814 | − | 0.286258i | 0.231169 | − | 0.972914i | \(-0.425745\pi\) |
−0.726983 | + | 0.686655i | \(0.759078\pi\) | |||||||
\(510\) | −19.2758 | + | 6.94916i | −0.853548 | + | 0.307714i | ||||
\(511\) | 25.5347 | + | 44.2274i | 1.12959 | + | 1.95651i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 13.9988 | + | 3.75096i | 0.618062 | + | 0.165609i | ||||
\(514\) | 11.8935i | 0.524599i | ||||||||
\(515\) | −13.0482 | − | 2.34191i | −0.574974 | − | 0.103197i | ||||
\(516\) | −8.89027 | − | 4.23626i | −0.391372 | − | 0.186491i | ||||
\(517\) | −38.9526 | − | 38.9526i | −1.71313 | − | 1.71313i | ||||
\(518\) | −21.3945 | − | 21.3945i | −0.940020 | − | 0.940020i | ||||
\(519\) | −14.0630 | − | 24.3578i | −0.617297 | − | 1.06919i | ||||
\(520\) | 1.60384 | + | 2.30548i | 0.0703328 | + | 0.101102i | ||||
\(521\) | −1.15892 | + | 0.669106i | −0.0507734 | + | 0.0293141i | −0.525172 | − | 0.850996i | \(-0.675999\pi\) |
0.474398 | + | 0.880310i | \(0.342666\pi\) | |||||||
\(522\) | 0.732024 | − | 2.73195i | 0.0320398 | − | 0.119574i | ||||
\(523\) | −0.109939 | + | 0.0294581i | −0.00480731 | + | 0.00128811i | −0.261222 | − | 0.965279i | \(-0.584125\pi\) |
0.256415 | + | 0.966567i | \(0.417459\pi\) | |||||||
\(524\) | −9.53894 | −0.416711 | ||||||||
\(525\) | 17.7217 | + | 21.3841i | 0.773439 | + | 0.933280i | ||||
\(526\) | 9.96062 | + | 17.2523i | 0.434304 | + | 0.752236i | ||||
\(527\) | 21.9842 | + | 21.9842i | 0.957648 | + | 0.957648i | ||||
\(528\) | 2.27711 | − | 8.49830i | 0.0990986 | − | 0.369841i | ||||
\(529\) | −17.1178 | − | 9.88299i | −0.744254 | − | 0.429695i | ||||
\(530\) | −0.939347 | − | 11.1286i | −0.0408026 | − | 0.483394i | ||||
\(531\) | −2.52374 | + | 4.37124i | −0.109521 | + | 0.189696i | ||||
\(532\) | −6.73992 | − | 6.73992i | −0.292213 | − | 0.292213i | ||||
\(533\) | −3.70868 | − | 13.8410i | −0.160641 | − | 0.599520i | ||||
\(534\) | 7.41114 | − | 12.8365i | 0.320711 | − | 0.555488i | ||||
\(535\) | 17.3364 | − | 6.24996i | 0.749516 | − | 0.270209i | ||||
\(536\) | 11.6130 | − | 6.70478i | 0.501606 | − | 0.289602i | ||||
\(537\) | −0.248942 | − | 0.248942i | −0.0107426 | − | 0.0107426i | ||||
\(538\) | −0.320423 | − | 0.320423i | −0.0138144 | − | 0.0138144i | ||||
\(539\) | −33.8899 | + | 19.5663i | −1.45974 | + | 0.842782i | ||||
\(540\) | −11.8296 | + | 4.26470i | −0.509063 | + | 0.183523i | ||||
\(541\) | 9.80121 | − | 16.9762i | 0.421387 | − | 0.729864i | −0.574688 | − | 0.818372i | \(-0.694877\pi\) |
0.996075 | + | 0.0885085i | \(0.0282100\pi\) | |||||||
\(542\) | −2.23196 | − | 8.32978i | −0.0958708 | − | 0.357795i | ||||
\(543\) | −0.545462 | − | 0.545462i | −0.0234080 | − | 0.0234080i | ||||
\(544\) | −3.05083 | + | 5.28420i | −0.130803 | + | 0.226558i | ||||
\(545\) | −2.98185 | − | 35.3264i | −0.127729 | − | 1.51322i | ||||
\(546\) | −6.04185 | − | 3.48826i | −0.258567 | − | 0.149284i | ||||
\(547\) | 2.73733 | − | 10.2158i | 0.117040 | − | 0.436798i | −0.882392 | − | 0.470516i | \(-0.844068\pi\) |
0.999431 | + | 0.0337175i | \(0.0107346\pi\) | |||||||
\(548\) | −1.48924 | − | 1.48924i | −0.0636172 | − | 0.0636172i | ||||
\(549\) | −4.36234 | − | 7.55580i | −0.186180 | − | 0.322474i | ||||
\(550\) | 29.1641 | + | 2.73133i | 1.24356 | + | 0.116464i | ||||
\(551\) | 9.78911 | 0.417030 | ||||||||
\(552\) | −2.60872 | + | 0.699005i | −0.111035 | + | 0.0297516i | ||||
\(553\) | 4.08765 | − | 15.2553i | 0.173824 | − | 0.648722i | ||||
\(554\) | 0.171165 | − | 0.0988220i | 0.00727209 | − | 0.00419854i | ||||
\(555\) | −15.6879 | − | 22.5510i | −0.665912 | − | 0.957237i | ||||
\(556\) | −1.44779 | − | 2.50765i | −0.0614001 | − | 0.106348i | ||||
\(557\) | 7.65086 | + | 7.65086i | 0.324178 | + | 0.324178i | 0.850367 | − | 0.526190i | \(-0.176380\pi\) |
−0.526190 | + | 0.850367i | \(0.676380\pi\) | |||||||
\(558\) | 2.68274 | + | 2.68274i | 0.113569 | + | 0.113569i | ||||
\(559\) | 0.649345 | + | 8.21044i | 0.0274643 | + | 0.347264i | ||||
\(560\) | 8.14030 | + | 1.46103i | 0.343990 | + | 0.0617398i | ||||
\(561\) | − | 53.6830i | − | 2.26650i | ||||||
\(562\) | −9.27617 | − | 2.48554i | −0.391291 | − | 0.104846i | ||||
\(563\) | 18.5027 | − | 18.5027i | 0.779796 | − | 0.779796i | −0.200000 | − | 0.979796i | \(-0.564094\pi\) |
0.979796 | + | 0.200000i | \(0.0640942\pi\) | |||||||
\(564\) | −7.06089 | − | 12.2298i | −0.297317 | − | 0.514969i | ||||
\(565\) | −12.5318 | + | 4.51786i | −0.527217 | + | 0.190068i | ||||
\(566\) | 10.8237 | + | 6.24909i | 0.454956 | + | 0.262669i | ||||
\(567\) | 16.2459 | − | 16.2459i | 0.682265 | − | 0.682265i | ||||
\(568\) | 1.29833 | + | 4.84544i | 0.0544768 | + | 0.203310i | ||||
\(569\) | −27.6735 | + | 15.9773i | −1.16013 | + | 0.669804i | −0.951336 | − | 0.308155i | \(-0.900288\pi\) |
−0.208798 | + | 0.977959i | \(0.566955\pi\) | |||||||
\(570\) | −4.94216 | − | 7.10426i | −0.207004 | − | 0.297565i | ||||
\(571\) | −18.5906 | + | 10.7333i | −0.777993 | + | 0.449174i | −0.835718 | − | 0.549158i | \(-0.814948\pi\) |
0.0577257 | + | 0.998332i | \(0.481615\pi\) | |||||||
\(572\) | −7.10730 | + | 1.90440i | −0.297171 | + | 0.0796268i | ||||
\(573\) | 2.69424 | + | 10.0550i | 0.112553 | + | 0.420055i | ||||
\(574\) | −36.5433 | − | 21.0983i | −1.52529 | − | 0.880626i | ||||
\(575\) | −3.75015 | − | 8.17231i | −0.156392 | − | 0.340809i | ||||
\(576\) | −0.372294 | + | 0.644831i | −0.0155122 | + | 0.0268680i | ||||
\(577\) | 8.18303 | + | 30.5395i | 0.340664 | + | 1.27137i | 0.897597 | + | 0.440817i | \(0.145311\pi\) |
−0.556933 | + | 0.830557i | \(0.688022\pi\) | |||||||
\(578\) | −5.23599 | + | 19.5410i | −0.217789 | + | 0.812798i | ||||
\(579\) | 4.61324 | + | 7.99036i | 0.191720 | + | 0.332068i | ||||
\(580\) | −6.97252 | + | 4.85051i | −0.289518 | + | 0.201406i | ||||
\(581\) | 52.1380i | 2.16305i | ||||||||
\(582\) | 0.332500 | − | 1.24091i | 0.0137826 | − | 0.0514372i | ||||
\(583\) | 28.2628 | + | 7.57299i | 1.17052 | + | 0.313641i | ||||
\(584\) | 11.9578 | + | 6.90384i | 0.494818 | + | 0.285683i | ||||
\(585\) | 1.59780 | + | 1.34906i | 0.0660610 | + | 0.0557768i | ||||
\(586\) | − | 7.65495i | − | 0.316223i | ||||||
\(587\) | −4.50362 | − | 16.8077i | −0.185884 | − | 0.693730i | −0.994439 | − | 0.105310i | \(-0.966417\pi\) |
0.808555 | − | 0.588420i | \(-0.200250\pi\) | |||||||
\(588\) | −9.68994 | + | 2.59641i | −0.399606 | + | 0.107074i | ||||
\(589\) | −6.56565 | + | 11.3720i | −0.270533 | + | 0.468577i | ||||
\(590\) | 14.2597 | − | 5.14079i | 0.587063 | − | 0.211643i | ||||
\(591\) | 3.53930i | 0.145587i | ||||||||
\(592\) | −7.90170 | − | 2.11725i | −0.324758 | − | 0.0870186i | ||||
\(593\) | −34.7381 | + | 9.30804i | −1.42652 | + | 0.382235i | −0.887793 | − | 0.460244i | \(-0.847762\pi\) |
−0.538729 | + | 0.842479i | \(0.681095\pi\) | |||||||
\(594\) | − | 32.9452i | − | 1.35176i | ||||||
\(595\) | 50.2842 | − | 4.24442i | 2.06145 | − | 0.174004i | ||||
\(596\) | 10.5743 | − | 6.10509i | 0.433142 | − | 0.250074i | ||||
\(597\) | −6.46678 | + | 24.1344i | −0.264668 | + | 0.987754i | ||||
\(598\) | 1.59714 | + | 1.59714i | 0.0653117 | + | 0.0653117i | ||||
\(599\) | −13.1034 | + | 7.56528i | −0.535392 | + | 0.309109i | −0.743209 | − | 0.669059i | \(-0.766697\pi\) |
0.207817 | + | 0.978168i | \(0.433364\pi\) | |||||||
\(600\) | 7.04033 | + | 2.61133i | 0.287420 | + | 0.106607i | ||||
\(601\) | − | 9.71694i | − | 0.396362i | −0.980165 | − | 0.198181i | \(-0.936497\pi\) | ||
0.980165 | − | 0.198181i | \(-0.0635035\pi\) | |||||||
\(602\) | 18.4485 | + | 15.7443i | 0.751906 | + | 0.641690i | ||||
\(603\) | 7.06017 | − | 7.06017i | 0.287512 | − | 0.287512i | ||||
\(604\) | 7.45280 | 0.303250 | ||||||||
\(605\) | −22.1821 | + | 47.1924i | −0.901830 | + | 1.91864i | ||||
\(606\) | 16.2354 | 0.659520 | ||||||||
\(607\) | −27.7814 | − | 7.44400i | −1.12761 | − | 0.302143i | −0.353652 | − | 0.935377i | \(-0.615060\pi\) |
−0.773960 | + | 0.633235i | \(0.781727\pi\) | |||||||
\(608\) | −2.48928 | − | 0.667000i | −0.100954 | − | 0.0270504i | ||||
\(609\) | 10.5496 | − | 18.2725i | 0.427492 | − | 0.740437i | ||||
\(610\) | −4.62864 | + | 25.7890i | −0.187408 | + | 1.04417i | ||||
\(611\) | −5.90517 | + | 10.2281i | −0.238898 | + | 0.413783i | ||||
\(612\) | −1.17587 | + | 4.38842i | −0.0475318 | + | 0.177391i | ||||
\(613\) | −7.32011 | + | 7.32011i | −0.295657 | + | 0.295657i | −0.839310 | − | 0.543653i | \(-0.817041\pi\) |
0.543653 | + | 0.839310i | \(0.317041\pi\) | |||||||
\(614\) | 3.97949 | + | 6.89267i | 0.160599 | + | 0.278166i | ||||
\(615\) | −29.2733 | − | 24.7161i | −1.18041 | − | 0.996650i | ||||
\(616\) | −10.8339 | + | 18.7649i | −0.436511 | + | 0.756059i | ||||
\(617\) | 18.6713 | − | 5.00297i | 0.751680 | − | 0.201412i | 0.137417 | − | 0.990513i | \(-0.456120\pi\) |
0.614263 | + | 0.789101i | \(0.289453\pi\) | |||||||
\(618\) | 6.29578 | − | 6.29578i | 0.253254 | − | 0.253254i | ||||
\(619\) | −25.6943 | − | 14.8346i | −1.03274 | − | 0.596253i | −0.114971 | − | 0.993369i | \(-0.536678\pi\) |
−0.917768 | + | 0.397116i | \(0.870011\pi\) | |||||||
\(620\) | −0.958315 | − | 11.3533i | −0.0384869 | − | 0.455959i | ||||
\(621\) | −8.75827 | + | 5.05659i | −0.351457 | + | 0.202914i | ||||
\(622\) | 9.92183 | + | 2.65855i | 0.397829 | + | 0.106598i | ||||
\(623\) | −25.8123 | + | 25.8123i | −1.03415 | + | 1.03415i | ||||
\(624\) | −1.88625 | −0.0755104 | ||||||||
\(625\) | −4.64197 | + | 24.5653i | −0.185679 | + | 0.982610i | ||||
\(626\) | 11.2722 | + | 19.5240i | 0.450527 | + | 0.780336i | ||||
\(627\) | 21.9009 | − | 5.86832i | 0.874637 | − | 0.234358i | ||||
\(628\) | 12.0568 | − | 3.23061i | 0.481119 | − | 0.128915i | ||||
\(629\) | −49.9143 | −1.99021 | ||||||||
\(630\) | 6.13619 | − | 0.517948i | 0.244472 | − | 0.0206355i | ||||
\(631\) | 5.91743 | + | 3.41643i | 0.235569 | + | 0.136006i | 0.613139 | − | 0.789975i | \(-0.289907\pi\) |
−0.377569 | + | 0.925981i | \(0.623240\pi\) | |||||||
\(632\) | −1.10518 | − | 4.12459i | −0.0439617 | − | 0.164067i | ||||
\(633\) | 14.2031 | + | 3.80570i | 0.564522 | + | 0.151263i | ||||
\(634\) | 1.94909 | 0.0774082 | ||||||||
\(635\) | −5.71798 | + | 2.06140i | −0.226911 | + | 0.0818041i | ||||
\(636\) | 6.49590 | + | 3.75041i | 0.257579 | + | 0.148714i | ||||
\(637\) | 5.93247 | + | 5.93247i | 0.235053 | + | 0.235053i | ||||
\(638\) | −5.75950 | − | 21.4947i | −0.228021 | − | 0.850985i | ||||
\(639\) | 1.86756 | + | 3.23472i | 0.0738797 | + | 0.127963i | ||||
\(640\) | 2.10355 | − | 0.758352i | 0.0831499 | − | 0.0299765i | ||||
\(641\) | 14.5962i | 0.576517i | 0.957553 | + | 0.288258i | \(0.0930762\pi\) | ||||
−0.957553 | + | 0.288258i | \(0.906924\pi\) | |||||||
\(642\) | −3.20343 | + | 11.9554i | −0.126429 | + | 0.471841i | ||||
\(643\) | 26.5550 | − | 26.5550i | 1.04723 | − | 1.04723i | 0.0483976 | − | 0.998828i | \(-0.484589\pi\) |
0.998828 | − | 0.0483976i | \(-0.0154115\pi\) | |||||||
\(644\) | 6.65137 | 0.262101 | ||||||||
\(645\) | 13.9614 | + | 17.0291i | 0.549731 | + | 0.670522i | ||||
\(646\) | −15.7245 | −0.618674 | ||||||||
\(647\) | 4.78805 | − | 4.78805i | 0.188238 | − | 0.188238i | −0.606696 | − | 0.794934i | \(-0.707506\pi\) |
0.794934 | + | 0.606696i | \(0.207506\pi\) | |||||||
\(648\) | 1.60774 | − | 6.00017i | 0.0631580 | − | 0.235709i | ||||
\(649\) | 39.7131i | 1.55888i | ||||||||
\(650\) | −1.05266 | − | 6.19109i | −0.0412889 | − | 0.242835i | ||||
\(651\) | 14.1515 | + | 24.5110i | 0.554639 | + | 0.960663i | ||||
\(652\) | 3.81991 | + | 14.2561i | 0.149599 | + | 0.558313i | ||||
\(653\) | 4.64808 | + | 4.64808i | 0.181893 | + | 0.181893i | 0.792180 | − | 0.610287i | \(-0.208946\pi\) |
−0.610287 | + | 0.792180i | \(0.708946\pi\) | |||||||
\(654\) | 20.6205 | + | 11.9053i | 0.806326 | + | 0.465533i | ||||
\(655\) | 19.3036 | + | 9.07339i | 0.754256 | + | 0.354527i | ||||
\(656\) | −11.4087 | −0.445436 | ||||||||
\(657\) | 9.93071 | + | 2.66093i | 0.387434 | + | 0.103813i | ||||
\(658\) | 9.00146 | + | 33.5939i | 0.350913 | + | 1.30963i | ||||
\(659\) | −20.0969 | − | 11.6029i | −0.782864 | − | 0.451987i | 0.0545805 | − | 0.998509i | \(-0.482618\pi\) |
−0.837444 | + | 0.546523i | \(0.815951\pi\) | |||||||
\(660\) | −12.6917 | + | 15.0317i | −0.494022 | + | 0.585110i | ||||
\(661\) | 41.4783 | 1.61332 | 0.806660 | − | 0.591016i | \(-0.201273\pi\) | ||||
0.806660 | + | 0.591016i | \(0.201273\pi\) | |||||||
\(662\) | 7.43749 | − | 1.99287i | 0.289066 | − | 0.0774551i | ||||
\(663\) | −11.1171 | + | 2.97882i | −0.431752 | + | 0.115688i | ||||
\(664\) | 7.04830 | + | 12.2080i | 0.273527 | + | 0.473763i | ||||
\(665\) | 7.22838 | + | 20.0503i | 0.280305 | + | 0.777519i | ||||
\(666\) | −6.09105 | −0.236023 | ||||||||
\(667\) | −4.83024 | + | 4.83024i | −0.187028 | + | 0.187028i | ||||
\(668\) | 1.10526 | + | 0.296153i | 0.0427637 | + | 0.0114585i | ||||
\(669\) | −10.1943 | + | 5.88566i | −0.394133 | + | 0.227553i | ||||
\(670\) | −29.8784 | + | 2.52200i | −1.15431 | + | 0.0974333i | ||||
\(671\) | −59.4484 | − | 34.3225i | −2.29498 | − | 1.32501i | ||||
\(672\) | −3.92770 | + | 3.92770i | −0.151514 | + | 0.151514i | ||||
\(673\) | 9.24162 | − | 2.47628i | 0.356238 | − | 0.0954537i | −0.0762615 | − | 0.997088i | \(-0.524298\pi\) |
0.432500 | + | 0.901634i | \(0.357632\pi\) | |||||||
\(674\) | −9.30495 | + | 16.1166i | −0.358413 | + | 0.620790i | ||||
\(675\) | 27.9957 | + | 2.62190i | 1.07755 | + | 0.100917i | ||||
\(676\) | −5.71125 | − | 9.89217i | −0.219663 | − | 0.380468i | ||||
\(677\) | −2.14535 | + | 2.14535i | −0.0824525 | + | 0.0824525i | −0.747130 | − | 0.664678i | \(-0.768569\pi\) |
0.664678 | + | 0.747130i | \(0.268569\pi\) | |||||||
\(678\) | 2.31564 | − | 8.64209i | 0.0889317 | − | 0.331898i | ||||
\(679\) | −1.58195 | + | 2.74002i | −0.0607096 | + | 0.105152i | ||||
\(680\) | 11.2002 | − | 7.79152i | 0.429507 | − | 0.298791i | ||||
\(681\) | 15.0413 | − | 26.0523i | 0.576384 | − | 0.998326i | ||||
\(682\) | 28.8335 | + | 7.72590i | 1.10409 | + | 0.295840i | ||||
\(683\) | 30.2787 | + | 8.11316i | 1.15858 | + | 0.310441i | 0.786400 | − | 0.617718i | \(-0.211943\pi\) |
0.372183 | + | 0.928159i | \(0.378609\pi\) | |||||||
\(684\) | −1.91887 | −0.0733698 | ||||||||
\(685\) | 1.59717 | + | 4.43028i | 0.0610247 | + | 0.169272i | ||||
\(686\) | −1.18425 | −0.0452147 | ||||||||
\(687\) | 10.1927 | − | 10.1927i | 0.388875 | − | 0.388875i | ||||
\(688\) | 6.44809 | + | 1.19252i | 0.245831 | + | 0.0454646i | ||||
\(689\) | − | 6.27310i | − | 0.238986i | ||||||
\(690\) | 5.94407 | + | 1.06685i | 0.226287 | + | 0.0406142i | ||||
\(691\) | −2.40300 | + | 1.38737i | −0.0914145 | + | 0.0527782i | −0.545010 | − | 0.838429i | \(-0.683474\pi\) |
0.453596 | + | 0.891207i | \(0.350141\pi\) | |||||||
\(692\) | 13.2428 | + | 13.2428i | 0.503415 | + | 0.503415i | ||||
\(693\) | −4.17568 | + | 15.5838i | −0.158621 | + | 0.591981i | ||||
\(694\) | −15.7466 | + | 9.09129i | −0.597732 | + | 0.345101i | ||||
\(695\) | 0.544587 | + | 6.45179i | 0.0206573 | + | 0.244730i | ||||
\(696\) | − | 5.70461i | − | 0.216233i | ||||||
\(697\) | −67.2403 | + | 18.0170i | −2.54691 | + | 0.682442i | ||||
\(698\) | −28.9113 | − | 7.74675i | −1.09431 | − | 0.293219i | ||||
\(699\) | 2.35070i | 0.0889117i | ||||||||
\(700\) | −15.0835 | − | 10.6996i | −0.570104 | − | 0.404409i | ||||
\(701\) | −20.6304 | + | 35.7329i | −0.779199 | + | 1.34961i | 0.153205 | + | 0.988194i | \(0.451041\pi\) |
−0.932404 | + | 0.361418i | \(0.882293\pi\) | |||||||
\(702\) | −6.82255 | + | 1.82810i | −0.257501 | + | 0.0689971i | ||||
\(703\) | −5.45635 | − | 20.3634i | −0.205790 | − | 0.768020i | ||||
\(704\) | 5.85835i | 0.220795i | ||||||||
\(705\) | 2.65595 | + | 31.4654i | 0.100029 | + | 1.18505i | ||||
\(706\) | 13.9952 | + | 8.08012i | 0.526715 | + | 0.304099i | ||||
\(707\) | −38.6220 | − | 10.3487i | −1.45253 | − | 0.389205i | ||||
\(708\) | −2.63492 | + | 9.83367i | −0.0990265 | + | 0.369572i | ||||
\(709\) | − | 37.1283i | − | 1.39438i | −0.716885 | − | 0.697192i | \(-0.754433\pi\) | ||
0.716885 | − | 0.697192i | \(-0.245567\pi\) | |||||||
\(710\) | 1.98157 | − | 11.0405i | 0.0743669 | − | 0.414344i | ||||
\(711\) | −1.58973 | − | 2.75349i | −0.0596194 | − | 0.103264i | ||||
\(712\) | −2.55445 | + | 9.53335i | −0.0957322 | + | 0.357278i | ||||
\(713\) | −2.37162 | − | 8.85100i | −0.0888178 | − | 0.331473i | ||||
\(714\) | −16.9462 | + | 29.3516i | −0.634194 | + | 1.09846i | ||||
\(715\) | 16.1943 | + | 2.90657i | 0.605631 | + | 0.108699i | ||||
\(716\) | 0.203016 | + | 0.117211i | 0.00758707 | + | 0.00438039i | ||||
\(717\) | 6.18670 | + | 23.0891i | 0.231046 | + | 0.862277i | ||||
\(718\) | −26.5637 | + | 7.11773i | −0.991350 | + | 0.265631i | ||||
\(719\) | 6.99456 | − | 4.03831i | 0.260853 | − | 0.150604i | −0.363871 | − | 0.931450i | \(-0.618545\pi\) |
0.624724 | + | 0.780846i | \(0.285212\pi\) | |||||||
\(720\) | 1.36676 | − | 0.950800i | 0.0509361 | − | 0.0354342i | ||||
\(721\) | −18.9899 | + | 10.9638i | −0.707221 | + | 0.408314i | ||||
\(722\) | 3.19864 | + | 11.9375i | 0.119041 | + | 0.444268i | ||||
\(723\) | 5.07038 | − | 5.07038i | 0.188569 | − | 0.188569i | ||||
\(724\) | 0.444833 | + | 0.256825i | 0.0165321 | + | 0.00954481i | ||||
\(725\) | 18.7238 | − | 3.18359i | 0.695385 | − | 0.118235i | ||||
\(726\) | −17.5112 | − | 30.3303i | −0.649902 | − | 1.12566i | ||||
\(727\) | 30.9315 | − | 30.9315i | 1.14718 | − | 1.14718i | 0.160080 | − | 0.987104i | \(-0.448825\pi\) |
0.987104 | − | 0.160080i | \(-0.0511754\pi\) | |||||||
\(728\) | 4.48714 | + | 1.20233i | 0.166305 | + | 0.0445612i | ||||
\(729\) | − | 29.9620i | − | 1.10970i | ||||||
\(730\) | −17.6317 | − | 25.3453i | −0.652579 | − | 0.938071i | ||||
\(731\) | 39.8867 | − | 3.15455i | 1.47526 | − | 0.116675i | ||||
\(732\) | −12.4432 | − | 12.4432i | −0.459914 | − | 0.459914i | ||||
\(733\) | −35.2205 | − | 35.2205i | −1.30090 | − | 1.30090i | −0.927785 | − | 0.373115i | \(-0.878290\pi\) |
−0.373115 | − | 0.927785i | \(-0.621710\pi\) | |||||||
\(734\) | 13.6803 | + | 23.6950i | 0.504950 | + | 0.874599i | ||||
\(735\) | 22.0789 | + | 3.96275i | 0.814393 | + | 0.146168i | ||||
\(736\) | 1.55740 | − | 0.899168i | 0.0574067 | − | 0.0331438i | ||||
\(737\) | 20.3323 | − | 75.8811i | 0.748949 | − | 2.79512i | ||||
\(738\) | −8.20534 | + | 2.19861i | −0.302043 | + | 0.0809321i | ||||
\(739\) | 16.4923 | 0.606678 | 0.303339 | − | 0.952883i | \(-0.401898\pi\) | ||||
0.303339 | + | 0.952883i | \(0.401898\pi\) | |||||||
\(740\) | 13.9765 | + | 11.8007i | 0.513786 | + | 0.433801i | ||||
\(741\) | −2.43052 | − | 4.20978i | −0.0892873 | − | 0.154650i | ||||
\(742\) | −13.0623 | − | 13.0623i | −0.479534 | − | 0.479534i | ||||
\(743\) | 2.49698 | − | 9.31885i | 0.0916053 | − | 0.341876i | −0.904878 | − | 0.425672i | \(-0.860038\pi\) |
0.996483 | + | 0.0837963i | \(0.0267045\pi\) | |||||||
\(744\) | 6.62707 | + | 3.82614i | 0.242960 | + | 0.140273i | ||||
\(745\) | −27.2061 | + | 2.29643i | −0.996753 | + | 0.0841346i | ||||
\(746\) | 5.14384 | − | 8.90940i | 0.188330 | − | 0.326196i | ||||
\(747\) | 7.42190 | + | 7.42190i | 0.271553 | + | 0.271553i | ||||
\(748\) | 9.25166 | + | 34.5277i | 0.338274 | + | 1.26246i | ||||
\(749\) | 15.2411 | − | 26.3984i | 0.556898 | − | 0.964575i | ||||
\(750\) | −11.7634 | − | 11.9812i | −0.429539 | − | 0.437491i | ||||
\(751\) | −11.2279 | + | 6.48244i | −0.409712 | + | 0.236547i | −0.690666 | − | 0.723174i | \(-0.742683\pi\) |
0.280954 | + | 0.959721i | \(0.409349\pi\) | |||||||
\(752\) | 6.64908 | + | 6.64908i | 0.242467 | + | 0.242467i | ||||
\(753\) | −4.76095 | − | 4.76095i | −0.173499 | − | 0.173499i | ||||
\(754\) | −4.13171 | + | 2.38544i | −0.150468 | + | 0.0868727i | ||||
\(755\) | −15.0820 | − | 7.08906i | −0.548890 | − | 0.257997i | ||||
\(756\) | −10.3999 | + | 18.0131i | −0.378239 | + | 0.655129i | ||||
\(757\) | −2.36375 | − | 8.82163i | −0.0859119 | − | 0.320627i | 0.909573 | − | 0.415543i | \(-0.136408\pi\) |
−0.995485 | + | 0.0949157i | \(0.969742\pi\) | |||||||
\(758\) | 15.3633 | + | 15.3633i | 0.558020 | + | 0.558020i | ||||
\(759\) | −7.91095 | + | 13.7022i | −0.287149 | + | 0.497357i | ||||
\(760\) | 4.40302 | + | 3.71758i | 0.159714 | + | 0.134851i | ||||
\(761\) | −18.2685 | − | 10.5473i | −0.662233 | − | 0.382341i | 0.130894 | − | 0.991396i | \(-0.458215\pi\) |
−0.793127 | + | 0.609056i | \(0.791549\pi\) | |||||||
\(762\) | 1.05657 | − | 3.94319i | 0.0382756 | − | 0.142847i | ||||
\(763\) | −41.4649 | − | 41.4649i | −1.50113 | − | 1.50113i | ||||
\(764\) | −3.46575 | − | 6.00285i | −0.125386 | − | 0.217175i | ||||
\(765\) | 6.55381 | − | 7.76221i | 0.236954 | − | 0.280643i | ||||
\(766\) | 30.8144 | 1.11337 | ||||||||
\(767\) | 8.22410 | − | 2.20364i | 0.296955 | − | 0.0795689i | ||||
\(768\) | −0.388695 | + | 1.45063i | −0.0140258 | + | 0.0523451i | ||||
\(769\) | 17.0212 | − | 9.82721i | 0.613801 | − | 0.354378i | −0.160650 | − | 0.987011i | \(-0.551359\pi\) |
0.774452 | + | 0.632633i | \(0.218026\pi\) | |||||||
\(770\) | 39.7733 | − | 27.6687i | 1.43333 | − | 0.997111i | ||||
\(771\) | 8.93083 | + | 15.4687i | 0.321636 | + | 0.557090i | ||||
\(772\) | −4.34418 | − | 4.34418i | −0.156350 | − | 0.156350i | ||||
\(773\) | −11.5040 | − | 11.5040i | −0.413769 | − | 0.413769i | 0.469280 | − | 0.883049i | \(-0.344513\pi\) |
−0.883049 | + | 0.469280i | \(0.844513\pi\) | |||||||
\(774\) | 4.86739 | − | 0.384950i | 0.174955 | − | 0.0138368i | ||||
\(775\) | −8.85987 | + | 23.8868i | −0.318256 | + | 0.858039i | ||||
\(776\) | 0.855426i | 0.0307080i | ||||||||
\(777\) | −43.8908 | − | 11.7605i | −1.57457 | − | 0.421906i | ||||
\(778\) | −6.78863 | + | 6.78863i | −0.243384 | + | 0.243384i | ||||
\(779\) | −14.7007 | − | 25.4623i | −0.526706 | − | 0.912281i | ||||
\(780\) | 3.81714 | + | 1.79419i | 0.136676 | + | 0.0642423i | ||||
\(781\) | 25.4505 | + | 14.6938i | 0.910689 | + | 0.525787i | ||||
\(782\) | 7.75897 | − | 7.75897i | 0.277460 | − | 0.277460i | ||||
\(783\) | −5.52874 | − | 20.6336i | −0.197581 | − | 0.737383i | ||||
\(784\) | 5.78489 | − | 3.33991i | 0.206603 | − | 0.119282i | ||||
\(785\) | −27.4719 | − | 4.93069i | −0.980513 | − | 0.175984i | ||||
\(786\) | −12.4063 | + | 7.16280i | −0.442520 | + | 0.255489i | ||||
\(787\) | −3.41060 | + | 0.913869i | −0.121575 | + | 0.0325759i | −0.319093 | − | 0.947723i | \(-0.603378\pi\) |
0.197519 | + | 0.980299i | \(0.436712\pi\) | |||||||
\(788\) | −0.609958 | − | 2.27640i | −0.0217289 | − | 0.0810932i | ||||
\(789\) | 25.9096 | + | 14.9589i | 0.922405 | + | 0.532551i | ||||
\(790\) | −1.68677 | + | 9.39804i | −0.0600126 | + | 0.334367i | ||||
\(791\) | −11.0172 | + | 19.0824i | −0.391727 | + | 0.678492i | ||||
\(792\) | 1.12898 | + | 4.21342i | 0.0401166 | + | 0.149717i | ||||
\(793\) | −3.80905 | + | 14.2156i | −0.135263 | + | 0.504809i | ||||
\(794\) | −8.57889 | − | 14.8591i | −0.304453 | − | 0.527329i | ||||
\(795\) | −9.57817 | − | 13.7685i | −0.339703 | − | 0.488317i | ||||
\(796\) | − | 16.6372i | − | 0.589688i | ||||||
\(797\) | 5.80684 | − | 21.6714i | 0.205689 | − | 0.767641i | −0.783550 | − | 0.621329i | \(-0.786593\pi\) |
0.989238 | − | 0.146312i | \(-0.0467404\pi\) | |||||||
\(798\) | −13.8270 | − | 3.70492i | −0.489469 | − | 0.131153i | ||||
\(799\) | 49.6885 | + | 28.6877i | 1.75785 | + | 1.01490i | ||||
\(800\) | −4.97822 | − | 0.466228i | −0.176007 | − | 0.0164837i | ||||
\(801\) | 7.34882i | 0.259658i | ||||||||
\(802\) | −6.52393 | − | 24.3476i | −0.230368 | − | 0.859744i | ||||
\(803\) | 78.1340 | − | 20.9359i | 2.75729 | − | 0.738813i | ||||
\(804\) | 10.0693 | − | 17.4405i | 0.355115 | − | 0.615078i | ||||
\(805\) | −13.4602 | − | 6.32674i | −0.474408 | − | 0.222988i | ||||
\(806\) | − | 6.39976i | − | 0.225422i | ||||||
\(807\) | −0.657348 | − | 0.176136i | −0.0231398 | − | 0.00620028i | ||||
\(808\) | −10.4423 | + | 2.79800i | −0.367358 | + | 0.0984332i | ||||
\(809\) | 22.4240i | 0.788387i | 0.919027 | + | 0.394194i | \(0.128976\pi\) | ||||
−0.919027 | + | 0.394194i | \(0.871024\pi\) | |||||||
\(810\) | −8.96086 | + | 10.6131i | −0.314852 | + | 0.372905i | ||||
\(811\) | 13.0798 | − | 7.55164i | 0.459295 | − | 0.265174i | −0.252453 | − | 0.967609i | \(-0.581237\pi\) |
0.711748 | + | 0.702435i | \(0.247904\pi\) | |||||||
\(812\) | −3.63622 | + | 13.5705i | −0.127606 | + | 0.476233i | ||||
\(813\) | −9.15773 | − | 9.15773i | −0.321175 | − | 0.321175i | ||||
\(814\) | −41.5033 | + | 23.9619i | −1.45469 | + | 0.839865i | ||||
\(815\) | 5.83011 | − | 32.4831i | 0.204220 | − | 1.13783i | ||||
\(816\) | 9.16350i | 0.320787i | ||||||||
\(817\) | 5.64715 | + | 15.9276i | 0.197569 | + | 0.557238i | ||||
\(818\) | 6.49863 | − | 6.49863i | 0.227219 | − | 0.227219i | ||||
\(819\) | 3.45893 | 0.120865 | ||||||||
\(820\) | 23.0875 | + | 10.8519i | 0.806249 | + | 0.378966i | ||||
\(821\) | −30.8412 | −1.07636 | −0.538182 | − | 0.842828i | \(-0.680889\pi\) | ||||
−0.538182 | + | 0.842828i | \(0.680889\pi\) | |||||||
\(822\) | −3.05518 | − | 0.818633i | −0.106562 | − | 0.0285531i | ||||
\(823\) | −13.7552 | − | 3.68570i | −0.479477 | − | 0.128476i | 0.0109818 | − | 0.999940i | \(-0.496504\pi\) |
−0.490459 | + | 0.871464i | \(0.663171\pi\) | |||||||
\(824\) | −2.96430 | + | 5.13431i | −0.103266 | + | 0.178862i | ||||
\(825\) | 39.9818 | − | 18.3470i | 1.39199 | − | 0.638761i | ||||
\(826\) | 12.5363 | − | 21.7135i | 0.436193 | − | 0.755509i | ||||
\(827\) | −3.59010 | + | 13.3984i | −0.124840 | + | 0.465910i | −0.999834 | − | 0.0182244i | \(-0.994199\pi\) |
0.874994 | + | 0.484134i | \(0.160865\pi\) | |||||||
\(828\) | 0.946829 | − | 0.946829i | 0.0329046 | − | 0.0329046i | ||||
\(829\) | −4.37182 | − | 7.57221i | −0.151839 | − | 0.262994i | 0.780064 | − | 0.625699i | \(-0.215186\pi\) |
−0.931904 | + | 0.362706i | \(0.881853\pi\) | |||||||
\(830\) | −2.65121 | − | 31.4093i | −0.0920250 | − | 1.09023i | ||||
\(831\) | 0.148411 | − | 0.257056i | 0.00514833 | − | 0.00891716i | ||||
\(832\) | 1.21319 | − | 0.325074i | 0.0420599 | − | 0.0112699i | ||||
\(833\) | 28.8203 | − | 28.8203i | 0.998563 | − | 0.998563i | ||||
\(834\) | −3.76600 | − | 2.17430i | −0.130406 | − | 0.0752899i | ||||
\(835\) | −1.95497 | − | 1.65063i | −0.0676547 | − | 0.0571224i | ||||
\(836\) | −13.0748 | + | 7.54875i | −0.452202 | + | 0.261079i | ||||
\(837\) | 27.6783 | + | 7.41637i | 0.956700 | + | 0.256347i | ||||
\(838\) | −3.49872 | + | 3.49872i | −0.120861 | + | 0.120861i | ||||
\(839\) | −25.5552 | −0.882265 | −0.441132 | − | 0.897442i | \(-0.645423\pi\) | ||||
−0.441132 | + | 0.897442i | \(0.645423\pi\) | |||||||
\(840\) | 11.6844 | − | 4.21235i | 0.403149 | − | 0.145340i | ||||
\(841\) | 7.28566 | + | 12.6191i | 0.251230 | + | 0.435143i | ||||
\(842\) | −26.6451 | + | 7.13953i | −0.918251 | + | 0.246045i | ||||
\(843\) | −13.9310 | + | 3.73279i | −0.479808 | + | 0.128564i | ||||
\(844\) | −9.79097 | −0.337019 | ||||||||
\(845\) | 2.14828 | + | 25.4510i | 0.0739031 | + | 0.875540i | ||||
\(846\) | 6.06349 | + | 3.50076i | 0.208467 | + | 0.120359i | ||||
\(847\) | 22.3239 | + | 83.3138i | 0.767057 | + | 2.86270i | ||||
\(848\) | −4.82436 | − | 1.29268i | −0.165669 | − | 0.0443909i | ||||
\(849\) | 18.7698 | 0.644178 | ||||||||
\(850\) | −30.0767 | + | 5.11390i | −1.03162 | + | 0.175405i | ||||
\(851\) | 12.7403 | + | 7.35559i | 0.436730 | + | 0.252146i | ||||
\(852\) | 5.32706 | + | 5.32706i | 0.182502 | + | 0.182502i | ||||
\(853\) | 10.3042 | + | 38.4557i | 0.352808 | + | 1.31670i | 0.883220 | + | 0.468958i | \(0.155370\pi\) |
−0.530412 | + | 0.847740i | \(0.677963\pi\) | |||||||
\(854\) | 21.6693 | + | 37.5323i | 0.741507 | + | 1.28433i | ||||
\(855\) | 3.88315 | + | 1.82522i | 0.132801 | + | 0.0624211i | ||||
\(856\) | − | 8.24150i | − | 0.281689i | ||||||
\(857\) | 6.91466 | − | 25.8059i | 0.236200 | − | 0.881512i | −0.741404 | − | 0.671059i | \(-0.765840\pi\) |
0.977604 | − | 0.210453i | \(-0.0674938\pi\) | |||||||
\(858\) | −7.81374 | + | 7.81374i | −0.266757 | + | 0.266757i | ||||
\(859\) | 18.3832 | 0.627227 | 0.313613 | − | 0.949551i | \(-0.398460\pi\) | ||||
0.313613 | + | 0.949551i | \(0.398460\pi\) | |||||||
\(860\) | −11.9145 | − | 8.54666i | −0.406280 | − | 0.291439i | ||||
\(861\) | −63.3710 | −2.15968 | ||||||||
\(862\) | −2.40442 | + | 2.40442i | −0.0818948 | + | 0.0818948i | ||||
\(863\) | 10.9613 | − | 40.9083i | 0.373129 | − | 1.39254i | −0.482931 | − | 0.875658i | \(-0.660428\pi\) |
0.856060 | − | 0.516877i | \(-0.172905\pi\) | |||||||
\(864\) | 5.62363i | 0.191320i | ||||||||
\(865\) | −14.2025 | − | 39.3955i | −0.482900 | − | 1.33949i | ||||
\(866\) | −16.1411 | − | 27.9572i | −0.548497 | − | 0.950024i | ||||
\(867\) | 7.86343 | + | 29.3467i | 0.267056 | + | 0.996667i | ||||
\(868\) | −13.3261 | − | 13.3261i | −0.452317 | − | 0.452317i | ||||
\(869\) | −21.6642 | − | 12.5078i | −0.734908 | − | 0.424299i | ||||
\(870\) | −5.42620 | + | 11.5442i | −0.183965 | + | 0.391386i | ||||
\(871\) | −16.8423 | −0.570678 | ||||||||
\(872\) | −15.3144 | − | 4.10348i | −0.518611 | − | 0.138961i | ||||
\(873\) | 0.164852 | + | 0.615236i | 0.00557939 | + | 0.0208226i | ||||
\(874\) | 4.01357 | + | 2.31724i | 0.135761 | + | 0.0783817i | ||||
\(875\) | 20.3466 | + | 35.9999i | 0.687840 | + | 1.21702i | ||||
\(876\) | 20.7364 | 0.700619 | ||||||||
\(877\) | −41.8296 | + | 11.2082i | −1.41249 | + | 0.378474i | −0.882812 | − | 0.469727i | \(-0.844352\pi\) |
−0.529674 | + | 0.848201i | \(0.677686\pi\) | |||||||
\(878\) | −32.2384 | + | 8.63826i | −1.08799 | + | 0.291527i | ||||
\(879\) | −5.74811 | − | 9.95602i | −0.193879 | − | 0.335808i | ||||
\(880\) | 5.57243 | − | 11.8553i | 0.187847 | − | 0.399644i | ||||
\(881\) | 40.5724 | 1.36692 | 0.683459 | − | 0.729989i | \(-0.260475\pi\) | ||||
0.683459 | + | 0.729989i | \(0.260475\pi\) | |||||||
\(882\) | 3.51694 | − | 3.51694i | 0.118422 | − | 0.118422i | ||||
\(883\) | 40.7559 | + | 10.9205i | 1.37154 | + | 0.367504i | 0.868043 | − | 0.496490i | \(-0.165378\pi\) |
0.503502 | + | 0.863994i | \(0.332045\pi\) | |||||||
\(884\) | 6.63690 | − | 3.83181i | 0.223223 | − | 0.128878i | ||||
\(885\) | 14.6859 | − | 17.3937i | 0.493663 | − | 0.584684i | ||||
\(886\) | −22.9639 | − | 13.2582i | −0.771489 | − | 0.445419i | ||||
\(887\) | −29.8472 | + | 29.8472i | −1.00217 | + | 1.00217i | −0.00217452 | + | 0.999998i | \(0.500692\pi\) |
−0.999998 | + | 0.00217452i | \(0.999308\pi\) | |||||||
\(888\) | −11.8668 | + | 3.17970i | −0.398224 | + | 0.106704i | ||||
\(889\) | −5.02691 | + | 8.70686i | −0.168597 | + | 0.292019i | ||||
\(890\) | 14.2374 | − | 16.8626i | 0.477240 | − | 0.565234i | ||||
\(891\) | −18.1955 | − | 31.5156i | −0.609573 | − | 1.05581i | ||||
\(892\) | 5.54239 | − | 5.54239i | 0.185573 | − | 0.185573i | ||||
\(893\) | −6.27195 | + | 23.4072i | −0.209883 | + | 0.783293i | ||||
\(894\) | 9.16865 | − | 15.8806i | 0.306645 | − | 0.531126i | ||||
\(895\) | −0.299346 | − | 0.430305i | −0.0100060 | − | 0.0143835i | ||||
\(896\) | 1.84931 | − | 3.20310i | 0.0617812 | − | 0.107008i | ||||
\(897\) | 3.27653 | + | 0.877942i | 0.109400 | + | 0.0293136i | ||||
\(898\) | 29.6191 | + | 7.93642i | 0.988403 | + | 0.264842i | ||||
\(899\) | 19.3549 | 0.645523 | ||||||||
\(900\) | −3.67026 | + | 0.624050i | −0.122342 | + | 0.0208017i | ||||
\(901\) | −30.4750 | −1.01527 | ||||||||
\(902\) | −47.2604 | + | 47.2604i | −1.57360 | + | 1.57360i | ||||
\(903\) | 35.8166 | + | 6.62400i | 1.19190 | + | 0.220433i | ||||
\(904\) | 5.95747i | 0.198143i | ||||||||
\(905\) | −0.655904 | − | 0.942851i | −0.0218030 | − | 0.0313414i | ||||
\(906\) | 9.69311 | − | 5.59632i | 0.322032 | − | 0.185925i | ||||
\(907\) | 23.8273 | + | 23.8273i | 0.791173 | + | 0.791173i | 0.981685 | − | 0.190512i | \(-0.0610146\pi\) |
−0.190512 | + | 0.981685i | \(0.561015\pi\) | |||||||
\(908\) | −5.18440 | + | 19.3485i | −0.172050 | + | 0.642101i | ||||
\(909\) | −6.97104 | + | 4.02473i | −0.231215 | + | 0.133492i | ||||
\(910\) | −7.93684 | − | 6.70125i | −0.263104 | − | 0.222144i | ||||
\(911\) | − | 54.5673i | − | 1.80790i | −0.427643 | − | 0.903948i | \(-0.640656\pi\) | ||
0.427643 | − | 0.903948i | \(-0.359344\pi\) | |||||||
\(912\) | −3.73841 | + | 1.00170i | −0.123791 | + | 0.0331697i | ||||
\(913\) | 79.7689 | + | 21.3740i | 2.63996 | + | 0.707376i | ||||
\(914\) | 14.0444i | 0.464546i | ||||||||
\(915\) | 13.3450 | + | 37.0168i | 0.441172 | + | 1.22374i | ||||
\(916\) | −4.79911 | + | 8.31230i | −0.158567 | + | 0.274646i | ||||
\(917\) | 34.0788 | − | 9.13138i | 1.12538 | − | 0.301545i | ||||
\(918\) | 8.88099 | + | 33.1443i | 0.293117 | + | 1.09393i | ||||
\(919\) | − | 32.4698i | − | 1.07108i | −0.844510 | − | 0.535540i | \(-0.820108\pi\) | ||
0.844510 | − | 0.535540i | \(-0.179892\pi\) | |||||||
\(920\) | −4.00695 | + | 0.338221i | −0.132105 | + | 0.0111508i | ||||
\(921\) | 10.3514 | + | 5.97641i | 0.341092 | + | 0.196929i | ||||
\(922\) | −0.451634 | − | 0.121015i | −0.0148738 | − | 0.00398541i | ||||
\(923\) | 1.63069 | − | 6.08583i | 0.0536749 | − | 0.200317i | ||||
\(924\) | 32.5408i | 1.07051i | ||||||||
\(925\) | −17.0590 | − | 37.1750i | −0.560897 | − | 1.22231i | ||||
\(926\) | −4.25037 | − | 7.36186i | −0.139676 | − | 0.241926i | ||||
\(927\) | −1.14252 | + | 4.26394i | −0.0375253 | + | 0.140046i | ||||
\(928\) | 0.983127 | + | 3.66908i | 0.0322727 | + | 0.120443i | ||||
\(929\) | 20.1016 | − | 34.8170i | 0.659513 | − | 1.14231i | −0.321229 | − | 0.947001i | \(-0.604096\pi\) |
0.980742 | − | 0.195308i | \(-0.0625707\pi\) | |||||||
\(930\) | −9.77158 | − | 14.0465i | −0.320423 | − | 0.460602i | ||||
\(931\) | 14.9082 | + | 8.60724i | 0.488596 | + | 0.282091i | ||||
\(932\) | −0.405117 | − | 1.51192i | −0.0132701 | − | 0.0495245i | ||||
\(933\) | 14.9006 | − | 3.99261i | 0.487825 | − | 0.130712i | ||||
\(934\) | 26.4690 | − | 15.2819i | 0.866093 | − | 0.500039i | ||||
\(935\) | 14.1203 | − | 78.6727i | 0.461782 | − | 2.57287i | ||||
\(936\) | 0.809901 | − | 0.467597i | 0.0264725 | − | 0.0152839i | ||||
\(937\) | −6.60420 | − | 24.6472i | −0.215750 | − | 0.805189i | −0.985901 | − | 0.167328i | \(-0.946486\pi\) |
0.770151 | − | 0.637861i | \(-0.220181\pi\) | |||||||
\(938\) | −35.0703 | + | 35.0703i | −1.14509 | + | 1.14509i | ||||
\(939\) | 29.3212 | + | 16.9286i | 0.956862 | + | 0.552444i | ||||
\(940\) | −7.13095 | − | 19.7801i | −0.232586 | − | 0.645156i | ||||
\(941\) | −23.6018 | − | 40.8795i | −0.769397 | − | 1.33264i | −0.937890 | − | 0.346932i | \(-0.887223\pi\) |
0.168493 | − | 0.985703i | \(-0.446110\pi\) | |||||||
\(942\) | 13.2552 | − | 13.2552i | 0.431878 | − | 0.431878i | ||||
\(943\) | 19.8176 | + | 5.31012i | 0.645351 | + | 0.172921i | ||||
\(944\) | − | 6.77889i | − | 0.220634i | ||||||
\(945\) | 38.1798 | − | 26.5602i | 1.24199 | − | 0.864002i | ||||
\(946\) | 31.6511 | − | 21.7711i | 1.02907 | − | 0.707838i | ||||
\(947\) | 3.28189 | + | 3.28189i | 0.106647 | + | 0.106647i | 0.758417 | − | 0.651770i | \(-0.225973\pi\) |
−0.651770 | + | 0.758417i | \(0.725973\pi\) | |||||||
\(948\) | −4.53456 | − | 4.53456i | −0.147276 | − | 0.147276i | ||||
\(949\) | −8.67115 | − | 15.0189i | −0.281478 | − | 0.487533i | ||||
\(950\) | −5.37412 | − | 11.7113i | −0.174359 | − | 0.379964i | ||||
\(951\) | 2.53498 | − | 1.46357i | 0.0822025 | − | 0.0474596i | ||||
\(952\) | 5.84097 | − | 21.7988i | 0.189307 | − | 0.706503i | ||||
\(953\) | 8.31471 | − | 2.22792i | 0.269340 | − | 0.0721694i | −0.121621 | − | 0.992577i | \(-0.538809\pi\) |
0.390961 | + | 0.920407i | \(0.372143\pi\) | |||||||
\(954\) | −3.71887 | −0.120403 | ||||||||
\(955\) | 1.30364 | + | 15.4444i | 0.0421847 | + | 0.499768i | ||||
\(956\) | −7.95829 | − | 13.7842i | −0.257389 | − | 0.445812i | ||||
\(957\) | −23.6312 | − | 23.6312i | −0.763889 | − | 0.763889i | ||||
\(958\) | −3.58673 | + | 13.3859i | −0.115882 | + | 0.432478i | ||||
\(959\) | 6.74606 | + | 3.89484i | 0.217842 | + | 0.125771i | ||||
\(960\) | 2.16642 | − | 2.56587i | 0.0699210 | − | 0.0828130i | ||||
\(961\) | 2.51847 | − | 4.36211i | 0.0812409 | − | 0.140713i | ||||
\(962\) | 7.26520 | + | 7.26520i | 0.234239 | + | 0.234239i | ||||
\(963\) | −1.58825 | − | 5.92742i | −0.0511805 | − | 0.191008i | ||||
\(964\) | −2.38733 | + | 4.13497i | −0.0768907 | + | 0.133179i | ||||
\(965\) | 4.65901 | + | 12.9233i | 0.149979 | + | 0.416017i | ||||
\(966\) | 8.65076 | − | 4.99452i | 0.278334 | − | 0.160696i | ||||
\(967\) | −19.5722 | − | 19.5722i | −0.629401 | − | 0.629401i | 0.318517 | − | 0.947917i | \(-0.396815\pi\) |
−0.947917 | + | 0.318517i | \(0.896815\pi\) | |||||||
\(968\) | 16.4899 | + | 16.4899i | 0.530005 | + | 0.530005i | ||||
\(969\) | −20.4513 | + | 11.8076i | −0.656992 | + | 0.379314i | ||||
\(970\) | 0.813677 | − | 1.73110i | 0.0261256 | − | 0.0555822i | ||||
\(971\) | −11.4154 | + | 19.7720i | −0.366337 | + | 0.634515i | −0.988990 | − | 0.147983i | \(-0.952722\pi\) |
0.622652 | + | 0.782499i | \(0.286055\pi\) | |||||||
\(972\) | 1.95200 | + | 7.28497i | 0.0626105 | + | 0.233666i | ||||
\(973\) | 7.57289 | + | 7.57289i | 0.242776 | + | 0.242776i | ||||
\(974\) | 4.55552 | − | 7.89039i | 0.145968 | − | 0.252824i | ||||
\(975\) | −6.01800 | − | 7.26169i | −0.192730 | − | 0.232560i | ||||
\(976\) | 10.1476 | + | 5.85874i | 0.324818 | + | 0.187534i | ||||
\(977\) | 9.56069 | − | 35.6810i | 0.305874 | − | 1.14154i | −0.626317 | − | 0.779568i | \(-0.715438\pi\) |
0.932191 | − | 0.361968i | \(-0.117895\pi\) | |||||||
\(978\) | 15.6731 | + | 15.6731i | 0.501171 | + | 0.501171i | ||||
\(979\) | 28.9099 | + | 50.0735i | 0.923965 | + | 1.60036i | ||||
\(980\) | −14.8836 | + | 1.25630i | −0.475439 | + | 0.0401312i | ||||
\(981\) | −11.8051 | −0.376909 | ||||||||
\(982\) | 33.7492 | − | 9.04307i | 1.07698 | − | 0.288576i | ||||
\(983\) | −12.4888 | + | 46.6090i | −0.398332 | + | 1.48660i | 0.417698 | + | 0.908586i | \(0.362837\pi\) |
−0.816030 | + | 0.578010i | \(0.803830\pi\) | |||||||
\(984\) | −14.8382 | + | 8.56683i | −0.473024 | + | 0.273101i | ||||
\(985\) | −0.930943 | + | 5.18686i | −0.0296623 | + | 0.165267i | ||||
\(986\) | 11.5886 | + | 20.0721i | 0.369057 | + | 0.639225i | ||||
\(987\) | 36.9330 | + | 36.9330i | 1.17559 | + | 1.17559i | ||||
\(988\) | 2.28876 | + | 2.28876i | 0.0728152 | + | 0.0728152i | ||||
\(989\) | −10.6457 | − | 5.07271i | −0.338512 | − | 0.161303i | ||||
\(990\) | 1.72310 | − | 9.60044i | 0.0547636 | − | 0.305122i | ||||
\(991\) | 41.2538i | 1.31047i | 0.755424 | + | 0.655236i | \(0.227431\pi\) | ||||
−0.755424 | + | 0.655236i | \(0.772569\pi\) | |||||||
\(992\) | −4.92178 | − | 1.31879i | −0.156267 | − | 0.0418715i | ||||
\(993\) | 8.17675 | − | 8.17675i | 0.259481 | − | 0.259481i | ||||
\(994\) | −9.27684 | − | 16.0680i | −0.294243 | − | 0.509645i | ||||
\(995\) | −15.8252 | + | 33.6681i | −0.501692 | + | 1.06735i | ||||
\(996\) | 18.3340 | + | 10.5852i | 0.580936 | + | 0.335404i | ||||
\(997\) | 29.2304 | − | 29.2304i | 0.925737 | − | 0.925737i | −0.0716896 | − | 0.997427i | \(-0.522839\pi\) |
0.997427 | + | 0.0716896i | \(0.0228391\pi\) | |||||||
\(998\) | 0.246867 | + | 0.921321i | 0.00781445 | + | 0.0291639i | ||||
\(999\) | −39.8405 | + | 23.0019i | −1.26050 | + | 0.727748i |
(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 | 430.2.l.a.7.4 | ✓ | 88 | |
5.3 | odd | 4 | inner | 430.2.l.a.93.15 | yes | 88 | |
43.37 | odd | 6 | inner | 430.2.l.a.37.15 | yes | 88 | |
215.123 | even | 12 | inner | 430.2.l.a.123.4 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.l.a.7.4 | ✓ | 88 | 1.1 | even | 1 | trivial | |
430.2.l.a.37.15 | yes | 88 | 43.37 | odd | 6 | inner | |
430.2.l.a.93.15 | yes | 88 | 5.3 | odd | 4 | inner | |
430.2.l.a.123.4 | yes | 88 | 215.123 | even | 12 | inner |