Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [684,3,Mod(343,684)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(684, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("684.343");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 684 = 2^{2} \cdot 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 684.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(18.6376500822\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 2 x^{13} + x^{12} + 14 x^{11} - 42 x^{10} + 28 x^{9} + 132 x^{8} - 440 x^{7} + 528 x^{6} + \cdots + 16384 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{29}]\) |
Coefficient ring index: | \( 2^{12} \) |
Twist minimal: | no (minimal twist has level 76) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 343.8 | ||
Root | \(0.645572 - 1.89294i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 684.343 |
Dual form | 684.3.g.b.343.7 |
$q$-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 \(\left(\mathbb{Z}/684\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(343\) | \(533\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.645572 | + | 1.89294i | −0.322786 | + | 0.946472i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.16647 | − | 2.44406i | −0.791618 | − | 0.611016i | ||||
\(5\) | 2.38184 | 0.476367 | 0.238184 | − | 0.971220i | \(-0.423448\pi\) | ||||
0.238184 | + | 0.971220i | \(0.423448\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 12.3764i | − | 1.76806i | −0.467427 | − | 0.884032i | \(-0.654819\pi\) | ||
0.467427 | − | 0.884032i | \(-0.345181\pi\) | |||||||
\(8\) | 6.67066 | − | 4.41614i | 0.833833 | − | 0.552017i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.53765 | + | 4.50868i | −0.153765 | + | 0.450868i | ||||
\(11\) | − | 9.15034i | − | 0.831849i | −0.909399 | − | 0.415925i | \(-0.863458\pi\) | ||
0.909399 | − | 0.415925i | \(-0.136542\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.940214 | 0.0723242 | 0.0361621 | − | 0.999346i | \(-0.488487\pi\) | ||||
0.0361621 | + | 0.999346i | \(0.488487\pi\) | |||||||
\(14\) | 23.4279 | + | 7.98989i | 1.67342 | + | 0.570706i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.05310 | + | 15.4781i | 0.253319 | + | 0.967383i | ||||
\(17\) | −27.1792 | −1.59878 | −0.799388 | − | 0.600814i | \(-0.794843\pi\) | ||||
−0.799388 | + | 0.600814i | \(0.794843\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.35890i | 0.229416i | ||||||||
\(20\) | −7.54202 | − | 5.82136i | −0.377101 | − | 0.291068i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 17.3211 | + | 5.90721i | 0.787322 | + | 0.268509i | ||||
\(23\) | 13.8004i | 0.600018i | 0.953936 | + | 0.300009i | \(0.0969898\pi\) | ||||
−0.953936 | + | 0.300009i | \(0.903010\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −19.3269 | −0.773074 | ||||||||
\(26\) | −0.606976 | + | 1.77977i | −0.0233452 | + | 0.0684528i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −30.2488 | + | 39.1897i | −1.08032 | + | 1.39963i | ||||
\(29\) | −49.8488 | −1.71892 | −0.859462 | − | 0.511200i | \(-0.829201\pi\) | ||||
−0.859462 | + | 0.511200i | \(0.829201\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 24.6752i | 0.795974i | 0.917391 | + | 0.397987i | \(0.130291\pi\) | ||||
−0.917391 | + | 0.397987i | \(0.869709\pi\) | |||||||
\(32\) | −31.9158 | − | 2.31995i | −0.997369 | − | 0.0724986i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 17.5461 | − | 51.4487i | 0.516063 | − | 1.51320i | ||||
\(35\) | − | 29.4787i | − | 0.842248i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −27.3757 | −0.739883 | −0.369942 | − | 0.929055i | \(-0.620622\pi\) | ||||
−0.369942 | + | 0.929055i | \(0.620622\pi\) | |||||||
\(38\) | −8.25115 | − | 2.81398i | −0.217136 | − | 0.0740522i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 15.8884 | − | 10.5185i | 0.397211 | − | 0.262963i | ||||
\(41\) | 38.4024 | 0.936644 | 0.468322 | − | 0.883558i | \(-0.344859\pi\) | ||||
0.468322 | + | 0.883558i | \(0.344859\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 41.2108i | 0.958391i | 0.877708 | + | 0.479195i | \(0.159071\pi\) | ||||
−0.877708 | + | 0.479195i | \(0.840929\pi\) | |||||||
\(44\) | −22.3640 | + | 28.9743i | −0.508273 | + | 0.658507i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −26.1234 | − | 8.90917i | −0.567901 | − | 0.193678i | ||||
\(47\) | 45.1842i | 0.961367i | 0.876894 | + | 0.480683i | \(0.159611\pi\) | ||||
−0.876894 | + | 0.480683i | \(0.840389\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −104.176 | −2.12605 | ||||||||
\(50\) | 12.4769 | − | 36.5846i | 0.249538 | − | 0.731693i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.97716 | − | 2.29794i | −0.0572531 | − | 0.0441912i | ||||
\(53\) | 19.9964 | 0.377291 | 0.188646 | − | 0.982045i | \(-0.439590\pi\) | ||||
0.188646 | + | 0.982045i | \(0.439590\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 21.7946i | − | 0.396266i | ||||||
\(56\) | −54.6561 | − | 82.5591i | −0.976001 | − | 1.47427i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 32.1810 | − | 94.3610i | 0.554845 | − | 1.62691i | ||||
\(59\) | − | 34.7054i | − | 0.588228i | −0.955770 | − | 0.294114i | \(-0.904976\pi\) | ||
0.955770 | − | 0.294114i | \(-0.0950245\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 33.2008 | 0.544276 | 0.272138 | − | 0.962258i | \(-0.412269\pi\) | ||||
0.272138 | + | 0.962258i | \(0.412269\pi\) | |||||||
\(62\) | −46.7088 | − | 15.9296i | −0.753367 | − | 0.256929i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 24.9955 | − | 58.9171i | 0.390555 | − | 0.920580i | ||||
\(65\) | 2.23944 | 0.0344529 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 3.48192i | − | 0.0519690i | −0.999662 | − | 0.0259845i | \(-0.991728\pi\) | ||
0.999662 | − | 0.0259845i | \(-0.00827205\pi\) | |||||||
\(68\) | 86.0622 | + | 66.4277i | 1.26562 | + | 0.976878i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 55.8015 | + | 19.0306i | 0.797164 | + | 0.271866i | ||||
\(71\) | − | 88.8887i | − | 1.25195i | −0.779842 | − | 0.625977i | \(-0.784700\pi\) | ||
0.779842 | − | 0.625977i | \(-0.215300\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −19.8573 | −0.272018 | −0.136009 | − | 0.990708i | \(-0.543428\pi\) | ||||
−0.136009 | + | 0.990708i | \(0.543428\pi\) | |||||||
\(74\) | 17.6730 | − | 51.8206i | 0.238824 | − | 0.700279i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.6534 | − | 13.8023i | 0.140177 | − | 0.181610i | ||||
\(77\) | −113.249 | −1.47076 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 51.7431i | 0.654976i | 0.944855 | + | 0.327488i | \(0.106202\pi\) | ||||
−0.944855 | + | 0.327488i | \(0.893798\pi\) | |||||||
\(80\) | 9.65383 | + | 36.8664i | 0.120673 | + | 0.460830i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −24.7915 | + | 72.6936i | −0.302336 | + | 0.886507i | ||||
\(83\) | − | 6.62943i | − | 0.0798727i | −0.999202 | − | 0.0399363i | \(-0.987284\pi\) | ||
0.999202 | − | 0.0399363i | \(-0.0127155\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −64.7365 | −0.761605 | ||||||||
\(86\) | −78.0097 | − | 26.6046i | −0.907090 | − | 0.309355i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −40.4091 | − | 61.0388i | −0.459195 | − | 0.693623i | ||||
\(89\) | −31.5105 | −0.354051 | −0.177025 | − | 0.984206i | \(-0.556647\pi\) | ||||
−0.177025 | + | 0.984206i | \(0.556647\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 11.6365i | − | 0.127874i | ||||||
\(92\) | 33.7291 | − | 43.6987i | 0.366621 | − | 0.474986i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −85.5312 | − | 29.1697i | −0.909907 | − | 0.310316i | ||||
\(95\) | 10.3822i | 0.109286i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 159.282 | 1.64208 | 0.821039 | − | 0.570873i | \(-0.193395\pi\) | ||||
0.821039 | + | 0.570873i | \(0.193395\pi\) | |||||||
\(98\) | 67.2534 | − | 197.200i | 0.686259 | − | 2.01225i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 61.1980 | + | 47.2361i | 0.611980 | + | 0.472361i | ||||
\(101\) | −35.1573 | −0.348092 | −0.174046 | − | 0.984738i | \(-0.555684\pi\) | ||||
−0.174046 | + | 0.984738i | \(0.555684\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 117.214i | − | 1.13800i | −0.822339 | − | 0.568998i | \(-0.807331\pi\) | ||
0.822339 | − | 0.568998i | \(-0.192669\pi\) | |||||||
\(104\) | 6.27185 | − | 4.15211i | 0.0603063 | − | 0.0399242i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −12.9092 | + | 37.8522i | −0.121784 | + | 0.357096i | ||||
\(107\) | − | 191.832i | − | 1.79282i | −0.443228 | − | 0.896409i | \(-0.646167\pi\) | ||
0.443228 | − | 0.896409i | \(-0.353833\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −183.807 | −1.68630 | −0.843152 | − | 0.537675i | \(-0.819303\pi\) | ||||
−0.843152 | + | 0.537675i | \(0.819303\pi\) | |||||||
\(110\) | 41.2560 | + | 14.0700i | 0.375055 | + | 0.127909i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 191.564 | − | 50.1630i | 1.71039 | − | 0.447884i | ||||
\(113\) | −72.9718 | −0.645768 | −0.322884 | − | 0.946439i | \(-0.604652\pi\) | ||||
−0.322884 | + | 0.946439i | \(0.604652\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 32.8704i | 0.285829i | ||||||||
\(116\) | 157.845 | + | 121.834i | 1.36073 | + | 1.05029i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 65.6954 | + | 22.4049i | 0.556741 | + | 0.189872i | ||||
\(119\) | 336.382i | 2.82674i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 37.2713 | 0.308027 | ||||||||
\(122\) | −21.4335 | + | 62.8473i | −0.175685 | + | 0.515142i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 60.3078 | − | 78.1334i | 0.486353 | − | 0.630108i | ||||
\(125\) | −105.579 | −0.844635 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 11.4215i | − | 0.0899331i | −0.998988 | − | 0.0449665i | \(-0.985682\pi\) | ||
0.998988 | − | 0.0449665i | \(-0.0143181\pi\) | |||||||
\(128\) | 95.3904 | + | 85.3503i | 0.745237 | + | 0.666799i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.44572 | + | 4.23913i | −0.0111209 | + | 0.0326087i | ||||
\(131\) | 36.9512i | 0.282070i | 0.990005 | + | 0.141035i | \(0.0450430\pi\) | ||||
−0.990005 | + | 0.141035i | \(0.954957\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 53.9477 | 0.405622 | ||||||||
\(134\) | 6.59108 | + | 2.24783i | 0.0491872 | + | 0.0167749i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −181.303 | + | 120.027i | −1.33311 | + | 0.882552i | ||||
\(137\) | 162.786 | 1.18822 | 0.594109 | − | 0.804385i | \(-0.297505\pi\) | ||||
0.594109 | + | 0.804385i | \(0.297505\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 229.233i | − | 1.64916i | −0.565744 | − | 0.824581i | \(-0.691411\pi\) | ||
0.565744 | − | 0.824581i | \(-0.308589\pi\) | |||||||
\(140\) | −72.0478 | + | 93.3434i | −0.514627 | + | 0.666739i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 168.261 | + | 57.3841i | 1.18494 | + | 0.404113i | ||||
\(143\) | − | 8.60328i | − | 0.0601628i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −118.732 | −0.818839 | ||||||||
\(146\) | 12.8193 | − | 37.5887i | 0.0878035 | − | 0.257457i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 86.6844 | + | 66.9079i | 0.585705 | + | 0.452081i | ||||
\(149\) | 110.328 | 0.740459 | 0.370229 | − | 0.928940i | \(-0.379279\pi\) | ||||
0.370229 | + | 0.928940i | \(0.379279\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 104.737i | − | 0.693621i | −0.937935 | − | 0.346810i | \(-0.887265\pi\) | ||
0.937935 | − | 0.346810i | \(-0.112735\pi\) | |||||||
\(152\) | 19.2495 | + | 29.0767i | 0.126641 | + | 0.191294i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 73.1102 | − | 214.373i | 0.474742 | − | 1.39204i | ||||
\(155\) | 58.7723i | 0.379176i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −147.695 | −0.940732 | −0.470366 | − | 0.882471i | \(-0.655878\pi\) | ||||
−0.470366 | + | 0.882471i | \(0.655878\pi\) | |||||||
\(158\) | −97.9468 | − | 33.4039i | −0.619917 | − | 0.211417i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −76.0182 | − | 5.52575i | −0.475114 | − | 0.0345360i | ||||
\(161\) | 170.800 | 1.06087 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 183.104i | 1.12334i | 0.827363 | + | 0.561668i | \(0.189840\pi\) | ||||
−0.827363 | + | 0.561668i | \(0.810160\pi\) | |||||||
\(164\) | −121.600 | − | 93.8580i | −0.741465 | − | 0.572305i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.5491 | + | 4.27978i | 0.0755973 | + | 0.0257818i | ||||
\(167\) | − | 214.501i | − | 1.28444i | −0.766522 | − | 0.642218i | \(-0.778014\pi\) | ||
0.766522 | − | 0.642218i | \(-0.221986\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −168.116 | −0.994769 | ||||||||
\(170\) | 41.7921 | − | 122.542i | 0.245836 | − | 0.720838i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 100.722 | − | 130.493i | 0.585592 | − | 0.758680i | ||||
\(173\) | −27.1849 | −0.157138 | −0.0785692 | − | 0.996909i | \(-0.525035\pi\) | ||||
−0.0785692 | + | 0.996909i | \(0.525035\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 239.198i | 1.36684i | ||||||||
\(176\) | 141.630 | − | 37.0873i | 0.804717 | − | 0.210723i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 20.3423 | − | 59.6476i | 0.114283 | − | 0.335099i | ||||
\(179\) | − | 185.284i | − | 1.03511i | −0.855651 | − | 0.517553i | \(-0.826843\pi\) | ||
0.855651 | − | 0.517553i | \(-0.173157\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.0150 | 0.0940053 | 0.0470026 | − | 0.998895i | \(-0.485033\pi\) | ||||
0.0470026 | + | 0.998895i | \(0.485033\pi\) | |||||||
\(182\) | 22.0273 | + | 7.51221i | 0.121029 | + | 0.0412759i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 60.9445 | + | 92.0580i | 0.331220 | + | 0.500315i | ||||
\(185\) | −65.2044 | −0.352456 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 248.699i | 1.32994i | ||||||||
\(188\) | 110.433 | − | 143.075i | 0.587411 | − | 0.761036i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −19.6529 | − | 6.70245i | −0.103436 | − | 0.0352761i | ||||
\(191\) | 2.41797i | 0.0126595i | 0.999980 | + | 0.00632976i | \(0.00201484\pi\) | ||||
−0.999980 | + | 0.00632976i | \(0.997985\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −150.712 | −0.780892 | −0.390446 | − | 0.920626i | \(-0.627679\pi\) | ||||
−0.390446 | + | 0.920626i | \(0.627679\pi\) | |||||||
\(194\) | −102.828 | + | 301.511i | −0.530040 | + | 1.55418i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 329.872 | + | 254.614i | 1.68302 | + | 1.29905i | ||||
\(197\) | −268.203 | −1.36144 | −0.680718 | − | 0.732545i | \(-0.738332\pi\) | ||||
−0.680718 | + | 0.732545i | \(0.738332\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 308.615i | − | 1.55083i | −0.631452 | − | 0.775415i | \(-0.717541\pi\) | ||
0.631452 | − | 0.775415i | \(-0.282459\pi\) | |||||||
\(200\) | −128.923 | + | 85.3500i | −0.644615 | + | 0.426750i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 22.6966 | − | 66.5507i | 0.112359 | − | 0.329459i | ||||
\(203\) | 616.951i | 3.03917i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 91.4683 | 0.446187 | ||||||||
\(206\) | 221.879 | + | 75.6698i | 1.07708 | + | 0.367329i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.81078 | + | 14.5528i | 0.0183211 | + | 0.0699652i | ||||
\(209\) | 39.8854 | 0.190839 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 334.011i | 1.58299i | 0.611176 | + | 0.791495i | \(0.290697\pi\) | ||||
−0.611176 | + | 0.791495i | \(0.709303\pi\) | |||||||
\(212\) | −63.3182 | − | 48.8726i | −0.298671 | − | 0.230531i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 363.126 | + | 123.841i | 1.69685 | + | 0.578697i | ||||
\(215\) | 98.1574i | 0.456546i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 305.391 | 1.40733 | ||||||||
\(218\) | 118.661 | − | 347.937i | 0.544316 | − | 1.59604i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −53.2675 | + | 69.0121i | −0.242125 | + | 0.313691i | ||||
\(221\) | −25.5543 | −0.115630 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 290.142i | 1.30108i | 0.759470 | + | 0.650542i | \(0.225458\pi\) | ||||
−0.759470 | + | 0.650542i | \(0.774542\pi\) | |||||||
\(224\) | −28.7128 | + | 395.004i | −0.128182 | + | 1.76341i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 47.1086 | − | 138.132i | 0.208445 | − | 0.611202i | ||||
\(227\) | − | 76.2561i | − | 0.335930i | −0.985793 | − | 0.167965i | \(-0.946280\pi\) | ||
0.985793 | − | 0.167965i | \(-0.0537195\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −212.780 | −0.929169 | −0.464585 | − | 0.885529i | \(-0.653796\pi\) | ||||
−0.464585 | + | 0.885529i | \(0.653796\pi\) | |||||||
\(230\) | −62.2218 | − | 21.2202i | −0.270529 | − | 0.0922617i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −332.525 | + | 220.139i | −1.43330 | + | 0.948875i | ||||
\(233\) | 108.504 | 0.465680 | 0.232840 | − | 0.972515i | \(-0.425198\pi\) | ||||
0.232840 | + | 0.972515i | \(0.425198\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 107.622i | 0.457964i | ||||||||
\(236\) | −84.8223 | + | 109.894i | −0.359416 | + | 0.465652i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −636.752 | − | 217.159i | −2.67543 | − | 0.912432i | ||||
\(239\) | − | 14.5126i | − | 0.0607222i | −0.999539 | − | 0.0303611i | \(-0.990334\pi\) | ||
0.999539 | − | 0.0303611i | \(-0.00966573\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −278.238 | −1.15451 | −0.577257 | − | 0.816563i | \(-0.695877\pi\) | ||||
−0.577257 | + | 0.816563i | \(0.695877\pi\) | |||||||
\(242\) | −24.0613 | + | 70.5524i | −0.0994268 | + | 0.291539i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −105.130 | − | 81.1449i | −0.430859 | − | 0.332561i | ||||
\(245\) | −248.131 | −1.01278 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.09830i | 0.0165923i | ||||||||
\(248\) | 108.969 | + | 164.600i | 0.439391 | + | 0.663710i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 68.1591 | − | 199.856i | 0.272636 | − | 0.799423i | ||||
\(251\) | 344.252i | 1.37152i | 0.727828 | + | 0.685760i | \(0.240530\pi\) | ||||
−0.727828 | + | 0.685760i | \(0.759470\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 126.279 | 0.499125 | ||||||||
\(254\) | 21.6203 | + | 7.37340i | 0.0851191 | + | 0.0290291i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −223.145 | + | 125.469i | −0.871659 | + | 0.490113i | ||||
\(257\) | −50.0048 | −0.194571 | −0.0972856 | − | 0.995257i | \(-0.531016\pi\) | ||||
−0.0972856 | + | 0.995257i | \(0.531016\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 338.814i | 1.30816i | ||||||||
\(260\) | −7.09112 | − | 5.47333i | −0.0272735 | − | 0.0210513i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −69.9465 | − | 23.8546i | −0.266971 | − | 0.0910483i | ||||
\(263\) | 155.273i | 0.590391i | 0.955437 | + | 0.295195i | \(0.0953848\pi\) | ||||
−0.955437 | + | 0.295195i | \(0.904615\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 47.6283 | 0.179729 | ||||||||
\(266\) | −34.8271 | + | 102.120i | −0.130929 | + | 0.383909i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.51004 | + | 11.0254i | −0.0317539 | + | 0.0411396i | ||||
\(269\) | 457.281 | 1.69993 | 0.849964 | − | 0.526840i | \(-0.176623\pi\) | ||||
0.849964 | + | 0.526840i | \(0.176623\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 349.279i | − | 1.28885i | −0.764666 | − | 0.644427i | \(-0.777096\pi\) | ||
0.764666 | − | 0.644427i | \(-0.222904\pi\) | |||||||
\(272\) | −110.160 | − | 420.683i | −0.405000 | − | 1.54663i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −105.090 | + | 308.144i | −0.383540 | + | 1.12461i | ||||
\(275\) | 176.847i | 0.643081i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −108.548 | −0.391870 | −0.195935 | − | 0.980617i | \(-0.562774\pi\) | ||||
−0.195935 | + | 0.980617i | \(0.562774\pi\) | |||||||
\(278\) | 433.926 | + | 147.987i | 1.56089 | + | 0.532326i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −130.182 | − | 196.642i | −0.464935 | − | 0.702294i | ||||
\(281\) | −190.452 | −0.677767 | −0.338883 | − | 0.940828i | \(-0.610049\pi\) | ||||
−0.338883 | + | 0.940828i | \(0.610049\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 289.950i | − | 1.02456i | −0.858819 | − | 0.512279i | \(-0.828802\pi\) | ||
0.858819 | − | 0.512279i | \(-0.171198\pi\) | |||||||
\(284\) | −217.250 | + | 281.464i | −0.764964 | + | 0.991069i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.2855 | + | 5.55404i | 0.0569424 | + | 0.0194197i | ||||
\(287\) | − | 475.285i | − | 1.65605i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 449.709 | 1.55609 | ||||||||
\(290\) | 76.6499 | − | 224.752i | 0.264310 | − | 0.775009i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 62.8776 | + | 48.5325i | 0.215334 | + | 0.166207i | ||||
\(293\) | 177.881 | 0.607102 | 0.303551 | − | 0.952815i | \(-0.401828\pi\) | ||||
0.303551 | + | 0.952815i | \(0.401828\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 82.6627i | − | 0.280212i | ||||||
\(296\) | −182.614 | + | 120.895i | −0.616939 | + | 0.408428i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −71.2249 | + | 208.845i | −0.239010 | + | 0.700823i | ||||
\(299\) | 12.9754i | 0.0433958i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 510.043 | 1.69450 | ||||||||
\(302\) | 198.261 | + | 67.6151i | 0.656492 | + | 0.223891i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −67.4676 | + | 17.6671i | −0.221933 | + | 0.0581153i | ||||
\(305\) | 79.0790 | 0.259275 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 554.295i | − | 1.80552i | −0.430143 | − | 0.902761i | \(-0.641537\pi\) | ||
0.430143 | − | 0.902761i | \(-0.358463\pi\) | |||||||
\(308\) | 358.599 | + | 276.787i | 1.16428 | + | 0.898659i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −111.253 | − | 37.9418i | −0.358880 | − | 0.122393i | ||||
\(311\) | − | 67.7563i | − | 0.217866i | −0.994049 | − | 0.108933i | \(-0.965257\pi\) | ||
0.994049 | − | 0.108933i | \(-0.0347434\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 447.248 | 1.42891 | 0.714454 | − | 0.699683i | \(-0.246675\pi\) | ||||
0.714454 | + | 0.699683i | \(0.246675\pi\) | |||||||
\(314\) | 95.3477 | − | 279.578i | 0.303655 | − | 0.890376i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 126.463 | − | 163.843i | 0.400201 | − | 0.518491i | ||||
\(317\) | −67.2154 | −0.212036 | −0.106018 | − | 0.994364i | \(-0.533810\pi\) | ||||
−0.106018 | + | 0.994364i | \(0.533810\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 456.133i | 1.42989i | ||||||||
\(320\) | 59.5352 | − | 140.331i | 0.186048 | − | 0.438534i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −110.264 | + | 323.315i | −0.342434 | + | 1.00408i | ||||
\(323\) | − | 118.471i | − | 0.366785i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −18.1714 | −0.0559119 | ||||||||
\(326\) | −346.605 | − | 118.207i | −1.06321 | − | 0.362597i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 256.170 | − | 169.590i | 0.781005 | − | 0.517043i | ||||
\(329\) | 559.220 | 1.69976 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 178.449i | − | 0.539122i | −0.962983 | − | 0.269561i | \(-0.913121\pi\) | ||
0.962983 | − | 0.269561i | \(-0.0868785\pi\) | |||||||
\(332\) | −16.2028 | + | 20.9919i | −0.0488035 | + | 0.0632287i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 406.038 | + | 138.476i | 1.21568 | + | 0.414598i | ||||
\(335\) | − | 8.29337i | − | 0.0247563i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −280.146 | −0.831292 | −0.415646 | − | 0.909526i | \(-0.636445\pi\) | ||||
−0.415646 | + | 0.909526i | \(0.636445\pi\) | |||||||
\(338\) | 108.531 | − | 318.234i | 0.321098 | − | 0.941521i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 204.986 | + | 158.220i | 0.602901 | + | 0.465353i | ||||
\(341\) | 225.787 | 0.662131 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 682.888i | 1.99093i | ||||||||
\(344\) | 181.992 | + | 274.903i | 0.529048 | + | 0.799138i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.5498 | − | 51.4596i | 0.0507221 | − | 0.148727i | ||||
\(347\) | 89.6003i | 0.258214i | 0.991631 | + | 0.129107i | \(0.0412111\pi\) | ||||
−0.991631 | + | 0.129107i | \(0.958789\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.38420 | 0.0154275 | 0.00771376 | − | 0.999970i | \(-0.497545\pi\) | ||||
0.00771376 | + | 0.999970i | \(0.497545\pi\) | |||||||
\(350\) | −452.788 | − | 154.419i | −1.29368 | − | 0.441198i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −21.2284 | + | 292.040i | −0.0603079 | + | 0.829660i | ||||
\(353\) | −357.844 | −1.01372 | −0.506861 | − | 0.862028i | \(-0.669194\pi\) | ||||
−0.506861 | + | 0.862028i | \(0.669194\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 211.718i | − | 0.596390i | ||||||
\(356\) | 99.7772 | + | 77.0137i | 0.280273 | + | 0.216331i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 350.732 | + | 119.614i | 0.979699 | + | 0.334118i | ||||
\(359\) | − | 415.792i | − | 1.15820i | −0.815258 | − | 0.579098i | \(-0.803405\pi\) | ||
0.815258 | − | 0.579098i | \(-0.196595\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | −10.9844 | + | 32.2084i | −0.0303436 | + | 0.0889734i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −28.4404 | + | 36.8467i | −0.0781329 | + | 0.101227i | ||||
\(365\) | −47.2968 | −0.129580 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 262.695i | − | 0.715789i | −0.933762 | − | 0.357894i | \(-0.883495\pi\) | ||
0.933762 | − | 0.357894i | \(-0.116505\pi\) | |||||||
\(368\) | −213.605 | + | 55.9345i | −0.580448 | + | 0.151996i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 42.0942 | − | 123.428i | 0.113768 | − | 0.333590i | ||||
\(371\) | − | 247.485i | − | 0.667075i | ||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 158.344 | 0.424516 | 0.212258 | − | 0.977214i | \(-0.431918\pi\) | ||||
0.212258 | + | 0.977214i | \(0.431918\pi\) | |||||||
\(374\) | −470.773 | − | 160.553i | −1.25875 | − | 0.429287i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 199.540 | + | 301.409i | 0.530691 | + | 0.801619i | ||||
\(377\) | −46.8685 | −0.124320 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 539.136i | − | 1.42252i | −0.702928 | − | 0.711261i | \(-0.748124\pi\) | ||
0.702928 | − | 0.711261i | \(-0.251876\pi\) | |||||||
\(380\) | 25.3747 | − | 32.8749i | 0.0667756 | − | 0.0865129i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.57708 | − | 1.56097i | −0.0119819 | − | 0.00408631i | ||||
\(383\) | − | 422.810i | − | 1.10394i | −0.833863 | − | 0.551971i | \(-0.813876\pi\) | ||
0.833863 | − | 0.551971i | \(-0.186124\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −269.740 | −0.700623 | ||||||||
\(386\) | 97.2956 | − | 285.290i | 0.252061 | − | 0.739092i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −504.361 | − | 389.294i | −1.29990 | − | 1.00334i | ||||
\(389\) | 487.091 | 1.25216 | 0.626081 | − | 0.779758i | \(-0.284658\pi\) | ||||
0.626081 | + | 0.779758i | \(0.284658\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 375.085i | − | 0.959296i | ||||||
\(392\) | −694.926 | + | 460.057i | −1.77277 | + | 1.17362i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 173.144 | − | 507.693i | 0.439453 | − | 1.28856i | ||||
\(395\) | 123.244i | 0.312009i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −646.684 | −1.62893 | −0.814464 | − | 0.580215i | \(-0.802969\pi\) | ||||
−0.814464 | + | 0.580215i | \(0.802969\pi\) | |||||||
\(398\) | 584.191 | + | 199.233i | 1.46782 | + | 0.500586i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −78.3337 | − | 299.143i | −0.195834 | − | 0.747859i | ||||
\(401\) | 14.0555 | 0.0350512 | 0.0175256 | − | 0.999846i | \(-0.494421\pi\) | ||||
0.0175256 | + | 0.999846i | \(0.494421\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.2000i | 0.0575682i | ||||||||
\(404\) | 111.325 | + | 85.9266i | 0.275556 | + | 0.212690i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1167.85 | − | 398.286i | −2.87649 | − | 0.981001i | ||||
\(407\) | 250.497i | 0.615471i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 143.668 | 0.351266 | 0.175633 | − | 0.984456i | \(-0.443803\pi\) | ||||
0.175633 | + | 0.984456i | \(0.443803\pi\) | |||||||
\(410\) | −59.0494 | + | 173.144i | −0.144023 | + | 0.422303i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −286.477 | + | 371.153i | −0.695333 | + | 0.900858i | ||||
\(413\) | −429.530 | −1.04002 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 15.7902i | − | 0.0380488i | ||||||
\(416\) | −30.0077 | − | 2.18125i | −0.0721338 | − | 0.00524340i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −25.7489 | + | 75.5008i | −0.0616003 | + | 0.180624i | ||||
\(419\) | − | 572.449i | − | 1.36623i | −0.730312 | − | 0.683114i | \(-0.760625\pi\) | ||
0.730312 | − | 0.683114i | \(-0.239375\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 718.562 | 1.70680 | 0.853399 | − | 0.521258i | \(-0.174537\pi\) | ||||
0.853399 | + | 0.521258i | \(0.174537\pi\) | |||||||
\(422\) | −632.264 | − | 215.628i | −1.49825 | − | 0.510967i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 133.390 | − | 88.3070i | 0.314598 | − | 0.208271i | ||||
\(425\) | 525.289 | 1.23597 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 410.908i | − | 0.962314i | ||||||
\(428\) | −468.849 | + | 607.429i | −1.09544 | + | 1.41923i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −185.807 | − | 63.3677i | −0.432108 | − | 0.147367i | ||||
\(431\) | − | 252.198i | − | 0.585147i | −0.956243 | − | 0.292573i | \(-0.905488\pi\) | ||
0.956243 | − | 0.292573i | \(-0.0945116\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 239.008 | 0.551982 | 0.275991 | − | 0.961160i | \(-0.410994\pi\) | ||||
0.275991 | + | 0.961160i | \(0.410994\pi\) | |||||||
\(434\) | −197.152 | + | 578.089i | −0.454268 | + | 1.33200i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 582.021 | + | 449.237i | 1.33491 | + | 1.03036i | ||||
\(437\) | −60.1547 | −0.137654 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 17.2750i | − | 0.0393508i | −0.999806 | − | 0.0196754i | \(-0.993737\pi\) | ||
0.999806 | − | 0.0196754i | \(-0.00626327\pi\) | |||||||
\(440\) | −96.2480 | − | 145.385i | −0.218745 | − | 0.330420i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 16.4971 | − | 48.3728i | 0.0373238 | − | 0.109441i | ||||
\(443\) | 161.249i | 0.363993i | 0.983299 | + | 0.181997i | \(0.0582560\pi\) | ||||
−0.983299 | + | 0.181997i | \(0.941744\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −75.0529 | −0.168658 | ||||||||
\(446\) | −549.222 | − | 187.307i | −1.23144 | − | 0.419972i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −729.184 | − | 309.355i | −1.62764 | − | 0.690525i | ||||
\(449\) | −561.952 | −1.25156 | −0.625782 | − | 0.779998i | \(-0.715220\pi\) | ||||
−0.625782 | + | 0.779998i | \(0.715220\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 351.395i | − | 0.779147i | ||||||
\(452\) | 231.063 | + | 178.348i | 0.511202 | + | 0.394575i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 144.349 | + | 49.2288i | 0.317948 | + | 0.108434i | ||||
\(455\) | − | 27.7163i | − | 0.0609149i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −107.375 | −0.234957 | −0.117479 | − | 0.993075i | \(-0.537481\pi\) | ||||
−0.117479 | + | 0.993075i | \(0.537481\pi\) | |||||||
\(458\) | 137.365 | − | 402.780i | 0.299923 | − | 0.879433i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 80.3373 | − | 104.083i | 0.174646 | − | 0.226268i | ||||
\(461\) | −666.303 | −1.44534 | −0.722672 | − | 0.691191i | \(-0.757086\pi\) | ||||
−0.722672 | + | 0.691191i | \(0.757086\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 272.358i | 0.588246i | 0.955768 | + | 0.294123i | \(0.0950276\pi\) | ||||
−0.955768 | + | 0.294123i | \(0.904972\pi\) | |||||||
\(464\) | −202.042 | − | 771.566i | −0.435436 | − | 1.66286i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −70.0469 | + | 205.391i | −0.150315 | + | 0.440753i | ||||
\(467\) | 703.386i | 1.50618i | 0.657917 | + | 0.753090i | \(0.271438\pi\) | ||||
−0.657917 | + | 0.753090i | \(0.728562\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −43.0938 | −0.0918844 | ||||||||
\(470\) | −203.721 | − | 69.4775i | −0.433450 | − | 0.147824i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −153.264 | − | 231.508i | −0.324712 | − | 0.490484i | ||||
\(473\) | 377.093 | 0.797237 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 84.2438i | − | 0.177355i | ||||||
\(476\) | 822.139 | − | 1065.14i | 1.72718 | − | 2.23770i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 27.4716 | + | 9.36894i | 0.0574719 | + | 0.0196003i | ||||
\(479\) | − | 451.971i | − | 0.943572i | −0.881713 | − | 0.471786i | \(-0.843609\pi\) | ||
0.881713 | − | 0.471786i | \(-0.156391\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −25.7390 | −0.0535114 | ||||||||
\(482\) | 179.623 | − | 526.689i | 0.372661 | − | 1.09272i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −118.018 | − | 91.0934i | −0.243840 | − | 0.188209i | ||||
\(485\) | 379.383 | 0.782232 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 293.894i | − | 0.603478i | −0.953391 | − | 0.301739i | \(-0.902433\pi\) | ||
0.953391 | − | 0.301739i | \(-0.0975671\pi\) | |||||||
\(488\) | 221.472 | − | 146.619i | 0.453835 | − | 0.300449i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 160.187 | − | 469.699i | 0.326912 | − | 0.958568i | ||||
\(491\) | − | 91.3499i | − | 0.186049i | −0.995664 | − | 0.0930243i | \(-0.970347\pi\) | ||
0.995664 | − | 0.0930243i | \(-0.0296534\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1354.85 | 2.74818 | ||||||||
\(494\) | −7.75785 | − | 2.64575i | −0.0157041 | − | 0.00535576i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −381.926 | + | 100.011i | −0.770012 | + | 0.201635i | ||||
\(497\) | −1100.13 | −2.21353 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 758.796i | 1.52063i | 0.649553 | + | 0.760316i | \(0.274956\pi\) | ||||
−0.649553 | + | 0.760316i | \(0.725044\pi\) | |||||||
\(500\) | 334.314 | + | 258.043i | 0.668628 | + | 0.516085i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −651.649 | − | 222.239i | −1.29811 | − | 0.442708i | ||||
\(503\) | − | 55.4556i | − | 0.110250i | −0.998479 | − | 0.0551248i | \(-0.982444\pi\) | ||
0.998479 | − | 0.0551248i | \(-0.0175557\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −83.7389 | −0.165820 | ||||||||
\(506\) | −81.5220 | + | 239.038i | −0.161111 | + | 0.472408i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −27.9149 | + | 36.1659i | −0.0549505 | + | 0.0711927i | ||||
\(509\) | 479.828 | 0.942688 | 0.471344 | − | 0.881949i | \(-0.343769\pi\) | ||||
0.471344 | + | 0.881949i | \(0.343769\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 245.763i | 0.480945i | ||||||||
\(512\) | −93.4494 | − | 503.400i | −0.182518 | − | 0.983202i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 32.2817 | − | 94.6563i | 0.0628049 | − | 0.184156i | ||||
\(515\) | − | 279.184i | − | 0.542104i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 413.451 | 0.799712 | ||||||||
\(518\) | −641.355 | − | 218.729i | −1.23814 | − | 0.422256i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.9385 | − | 9.88966i | 0.0287279 | − | 0.0190186i | ||||
\(521\) | −29.8875 | −0.0573656 | −0.0286828 | − | 0.999589i | \(-0.509131\pi\) | ||||
−0.0286828 | + | 0.999589i | \(0.509131\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 324.051i | 0.619600i | 0.950802 | + | 0.309800i | \(0.100262\pi\) | ||||
−0.950802 | + | 0.309800i | \(0.899738\pi\) | |||||||
\(524\) | 90.3110 | − | 117.005i | 0.172349 | − | 0.223292i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −293.923 | − | 100.240i | −0.558788 | − | 0.190570i | ||||
\(527\) | − | 670.652i | − | 1.27259i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 338.548 | 0.639978 | ||||||||
\(530\) | −30.7475 | + | 90.1577i | −0.0580141 | + | 0.170109i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −170.824 | − | 131.852i | −0.321097 | − | 0.247841i | ||||
\(533\) | 36.1065 | 0.0677420 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 456.912i | − | 0.854040i | ||||||
\(536\) | −15.3766 | − | 23.2267i | −0.0286878 | − | 0.0433334i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −295.208 | + | 865.607i | −0.548713 | + | 1.60893i | ||||
\(539\) | 953.250i | 1.76855i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −584.274 | −1.07999 | −0.539994 | − | 0.841669i | \(-0.681574\pi\) | ||||
−0.539994 | + | 0.841669i | \(0.681574\pi\) | |||||||
\(542\) | 661.166 | + | 225.485i | 1.21986 | + | 0.416024i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 867.446 | + | 63.0545i | 1.59457 | + | 0.115909i | ||||
\(545\) | −437.799 | −0.803301 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 173.706i | − | 0.317562i | −0.987314 | − | 0.158781i | \(-0.949244\pi\) | ||
0.987314 | − | 0.158781i | \(-0.0507564\pi\) | |||||||
\(548\) | −515.457 | − | 397.859i | −0.940614 | − | 0.726020i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −334.762 | − | 114.168i | −0.608658 | − | 0.207578i | ||||
\(551\) | − | 217.286i | − | 0.394348i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 640.396 | 1.15804 | ||||||||
\(554\) | 70.0755 | − | 205.475i | 0.126490 | − | 0.370894i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −560.261 | + | 725.862i | −1.00766 | + | 1.30551i | ||||
\(557\) | 590.355 | 1.05988 | 0.529942 | − | 0.848034i | \(-0.322214\pi\) | ||||
0.529942 | + | 0.848034i | \(0.322214\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 38.7470i | 0.0693148i | ||||||||
\(560\) | 456.275 | − | 119.480i | 0.814776 | − | 0.213357i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 122.951 | − | 360.516i | 0.218774 | − | 0.641487i | ||||
\(563\) | 1015.03i | 1.80290i | 0.432882 | + | 0.901450i | \(0.357497\pi\) | ||||
−0.432882 | + | 0.901450i | \(0.642503\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −173.807 | −0.307623 | ||||||||
\(566\) | 548.859 | + | 187.183i | 0.969715 | + | 0.330713i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −392.545 | − | 592.947i | −0.691100 | − | 1.04392i | ||||
\(569\) | 98.2869 | 0.172736 | 0.0863681 | − | 0.996263i | \(-0.472474\pi\) | ||||
0.0863681 | + | 0.996263i | \(0.472474\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 366.213i | − | 0.641354i | −0.947189 | − | 0.320677i | \(-0.896090\pi\) | ||
0.947189 | − | 0.320677i | \(-0.103910\pi\) | |||||||
\(572\) | −21.0270 | + | 27.2421i | −0.0367604 | + | 0.0476260i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 899.689 | + | 306.831i | 1.56740 | + | 0.534549i | ||||
\(575\) | − | 266.719i | − | 0.463859i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −267.138 | −0.462977 | −0.231489 | − | 0.972838i | \(-0.574360\pi\) | ||||
−0.231489 | + | 0.972838i | \(0.574360\pi\) | |||||||
\(578\) | −290.320 | + | 851.275i | −0.502284 | + | 1.47279i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 375.961 | + | 290.188i | 0.648208 | + | 0.500324i | ||||
\(581\) | −82.0488 | −0.141220 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 182.974i | − | 0.313850i | ||||||
\(584\) | −132.461 | + | 87.6925i | −0.226817 | + | 0.150158i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −114.835 | + | 336.719i | −0.195964 | + | 0.574605i | ||||
\(587\) | 245.452i | 0.418147i | 0.977900 | + | 0.209074i | \(0.0670448\pi\) | ||||
−0.977900 | + | 0.209074i | \(0.932955\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −107.557 | −0.182609 | ||||||||
\(590\) | 156.476 | + | 53.3647i | 0.265213 | + | 0.0904487i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −110.956 | − | 423.724i | −0.187426 | − | 0.715750i | ||||
\(593\) | −33.3697 | −0.0562726 | −0.0281363 | − | 0.999604i | \(-0.508957\pi\) | ||||
−0.0281363 | + | 0.999604i | \(0.508957\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 801.207i | 1.34657i | ||||||||
\(596\) | −349.352 | − | 269.649i | −0.586160 | − | 0.452432i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −24.5616 | − | 8.37653i | −0.0410729 | − | 0.0140076i | ||||
\(599\) | − | 427.260i | − | 0.713288i | −0.934240 | − | 0.356644i | \(-0.883921\pi\) | ||
0.934240 | − | 0.356644i | \(-0.116079\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −316.625 | −0.526831 | −0.263415 | − | 0.964683i | \(-0.584849\pi\) | ||||
−0.263415 | + | 0.964683i | \(0.584849\pi\) | |||||||
\(602\) | −329.270 | + | 965.483i | −0.546960 | + | 1.60379i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −255.983 | + | 331.646i | −0.423813 | + | 0.549083i | ||||
\(605\) | 88.7741 | 0.146734 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 467.840i | 0.770741i | 0.922762 | + | 0.385370i | \(0.125926\pi\) | ||||
−0.922762 | + | 0.385370i | \(0.874074\pi\) | |||||||
\(608\) | 10.1124 | − | 139.118i | 0.0166323 | − | 0.228812i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −51.0512 | + | 149.692i | −0.0836905 | + | 0.245397i | ||||
\(611\) | 42.4829i | 0.0695300i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −636.118 | −1.03771 | −0.518856 | − | 0.854861i | \(-0.673642\pi\) | ||||
−0.518856 | + | 0.854861i | \(0.673642\pi\) | |||||||
\(614\) | 1049.25 | + | 357.838i | 1.70888 | + | 0.582797i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −755.444 | + | 500.122i | −1.22637 | + | 0.811886i | ||||
\(617\) | −331.487 | −0.537256 | −0.268628 | − | 0.963244i | \(-0.586570\pi\) | ||||
−0.268628 | + | 0.963244i | \(0.586570\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 479.724i | 0.774999i | 0.921870 | + | 0.387500i | \(0.126661\pi\) | ||||
−0.921870 | + | 0.387500i | \(0.873339\pi\) | |||||||
\(620\) | 143.643 | − | 186.101i | 0.231683 | − | 0.300163i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 128.259 | + | 43.7416i | 0.206204 | + | 0.0703241i | ||||
\(623\) | 389.988i | 0.625984i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 231.698 | 0.370718 | ||||||||
\(626\) | −288.731 | + | 846.615i | −0.461231 | + | 1.35242i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 467.672 | + | 360.976i | 0.744700 | + | 0.574802i | ||||
\(629\) | 744.049 | 1.18291 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 389.892i | − | 0.617896i | −0.951079 | − | 0.308948i | \(-0.900023\pi\) | ||
0.951079 | − | 0.308948i | \(-0.0999768\pi\) | |||||||
\(632\) | 228.505 | + | 345.161i | 0.361558 | + | 0.546141i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 43.3924 | − | 127.235i | 0.0684423 | − | 0.200686i | ||||
\(635\) | − | 27.2042i | − | 0.0428412i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −97.9481 | −0.153765 | ||||||||
\(638\) | −863.435 | − | 294.467i | −1.35335 | − | 0.461547i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 227.204 | + | 203.291i | 0.355007 | + | 0.317642i | ||||
\(641\) | 170.264 | 0.265623 | 0.132811 | − | 0.991141i | \(-0.457600\pi\) | ||||
0.132811 | + | 0.991141i | \(0.457600\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 420.651i | 0.654200i | 0.944990 | + | 0.327100i | \(0.106071\pi\) | ||||
−0.944990 | + | 0.327100i | \(0.893929\pi\) | |||||||
\(644\) | −540.834 | − | 417.447i | −0.839805 | − | 0.648209i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 224.260 | + | 76.4819i | 0.347151 | + | 0.118393i | ||||
\(647\) | 178.658i | 0.276133i | 0.990423 | + | 0.138067i | \(0.0440888\pi\) | ||||
−0.990423 | + | 0.138067i | \(0.955911\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −317.566 | −0.489317 | ||||||||
\(650\) | 11.7309 | − | 34.3974i | 0.0180476 | − | 0.0529191i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 447.517 | − | 579.793i | 0.686376 | − | 0.889253i | ||||
\(653\) | 950.370 | 1.45539 | 0.727696 | − | 0.685900i | \(-0.240591\pi\) | ||||
0.727696 | + | 0.685900i | \(0.240591\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 88.0117i | 0.134369i | ||||||||
\(656\) | 155.649 | + | 594.397i | 0.237270 | + | 0.906094i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −361.017 | + | 1058.57i | −0.548658 | + | 1.60877i | ||||
\(659\) | − | 327.948i | − | 0.497645i | −0.968549 | − | 0.248823i | \(-0.919956\pi\) | ||
0.968549 | − | 0.248823i | \(-0.0800436\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 256.403 | 0.387902 | 0.193951 | − | 0.981011i | \(-0.437870\pi\) | ||||
0.193951 | + | 0.981011i | \(0.437870\pi\) | |||||||
\(662\) | 337.794 | + | 115.202i | 0.510264 | + | 0.174021i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −29.2765 | − | 44.2227i | −0.0440911 | − | 0.0666005i | ||||
\(665\) | 128.495 | 0.193225 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 687.935i | − | 1.03139i | ||||||
\(668\) | −524.254 | + | 679.211i | −0.784811 | + | 1.01678i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.6989 | + | 5.35397i | 0.0234312 | + | 0.00799100i | ||||
\(671\) | − | 303.799i | − | 0.452755i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −624.347 | −0.927707 | −0.463853 | − | 0.885912i | \(-0.653534\pi\) | ||||
−0.463853 | + | 0.885912i | \(0.653534\pi\) | |||||||
\(674\) | 180.854 | − | 530.300i | 0.268330 | − | 0.786795i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 532.335 | + | 410.886i | 0.787477 | + | 0.607820i | ||||
\(677\) | 135.259 | 0.199791 | 0.0998955 | − | 0.994998i | \(-0.468149\pi\) | ||||
0.0998955 | + | 0.994998i | \(0.468149\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 1971.34i | − | 2.90330i | ||||||
\(680\) | −431.835 | + | 285.885i | −0.635052 | + | 0.420419i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −145.762 | + | 427.401i | −0.213727 | + | 0.626688i | ||||
\(683\) | 84.9635i | 0.124398i | 0.998064 | + | 0.0621988i | \(0.0198113\pi\) | ||||
−0.998064 | + | 0.0621988i | \(0.980189\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 387.729 | 0.566028 | ||||||||
\(686\) | −1292.67 | − | 440.853i | −1.88436 | − | 0.642644i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −637.866 | + | 167.032i | −0.927131 | + | 0.242778i | ||||
\(689\) | 18.8009 | 0.0272873 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 673.647i | 0.974887i | 0.873155 | + | 0.487443i | \(0.162070\pi\) | ||||
−0.873155 | + | 0.487443i | \(0.837930\pi\) | |||||||
\(692\) | 86.0804 | + | 66.4418i | 0.124394 | + | 0.0960141i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −169.608 | − | 57.8435i | −0.244392 | − | 0.0833479i | ||||
\(695\) | − | 545.997i | − | 0.785607i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1043.75 | −1.49749 | ||||||||
\(698\) | −3.47589 | + | 10.1920i | −0.00497979 | + | 0.0146017i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 584.615 | − | 757.413i | 0.835164 | − | 1.08202i | ||||
\(701\) | −406.227 | −0.579496 | −0.289748 | − | 0.957103i | \(-0.593571\pi\) | ||||
−0.289748 | + | 0.957103i | \(0.593571\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 119.328i | − | 0.169741i | ||||||
\(704\) | −539.112 | − | 228.717i | −0.765784 | − | 0.324883i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 231.014 | − | 677.378i | 0.327215 | − | 0.959459i | ||||
\(707\) | 435.122i | 0.615448i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 668.985 | 0.943561 | 0.471780 | − | 0.881716i | \(-0.343611\pi\) | ||||
0.471780 | + | 0.881716i | \(0.343611\pi\) | |||||||
\(710\) | 400.771 | + | 136.680i | 0.564466 | + | 0.192506i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −210.196 | + | 139.155i | −0.295219 | + | 0.195442i | ||||
\(713\) | −340.528 | −0.477599 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 20.4916i | − | 0.0286596i | ||||||
\(716\) | −452.846 | + | 586.697i | −0.632467 | + | 0.819409i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 787.072 | + | 268.424i | 1.09620 | + | 0.373850i | ||||
\(719\) | − | 357.444i | − | 0.497140i | −0.968614 | − | 0.248570i | \(-0.920039\pi\) | ||
0.968614 | − | 0.248570i | \(-0.0799606\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1450.69 | −2.01205 | ||||||||
\(722\) | 12.2659 | − | 35.9659i | 0.0169887 | − | 0.0498143i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −53.8774 | − | 41.5857i | −0.0744163 | − | 0.0574387i | ||||
\(725\) | 963.420 | 1.32886 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 931.519i | 1.28132i | 0.767825 | + | 0.640659i | \(0.221339\pi\) | ||||
−0.767825 | + | 0.640659i | \(0.778661\pi\) | |||||||
\(728\) | −51.3884 | − | 77.6232i | −0.0705885 | − | 0.106625i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 30.5335 | − | 89.5303i | 0.0418267 | − | 0.122644i | ||||
\(731\) | − | 1120.08i | − | 1.53225i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −342.315 | −0.467006 | −0.233503 | − | 0.972356i | \(-0.575019\pi\) | ||||
−0.233503 | + | 0.972356i | \(0.575019\pi\) | |||||||
\(734\) | 497.266 | + | 169.588i | 0.677474 | + | 0.231047i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 32.0164 | − | 440.451i | 0.0435005 | − | 0.598440i | ||||
\(737\) | −31.8608 | −0.0432303 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 233.486i | − | 0.315949i | −0.987443 | − | 0.157975i | \(-0.949504\pi\) | ||
0.987443 | − | 0.157975i | \(-0.0504964\pi\) | |||||||
\(740\) | 206.468 | + | 159.364i | 0.279011 | + | 0.215356i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 468.475 | + | 159.769i | 0.631368 | + | 0.215323i | ||||
\(743\) | 684.601i | 0.921401i | 0.887556 | + | 0.460701i | \(0.152402\pi\) | ||||
−0.887556 | + | 0.460701i | \(0.847598\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 262.784 | 0.352730 | ||||||||
\(746\) | −102.223 | + | 299.737i | −0.137028 | + | 0.401792i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 607.836 | − | 787.499i | 0.812615 | − | 1.05281i | ||||
\(749\) | −2374.19 | −3.16982 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 985.017i | − | 1.31161i | −0.754931 | − | 0.655804i | \(-0.772330\pi\) | ||
0.754931 | − | 0.655804i | \(-0.227670\pi\) | |||||||
\(752\) | −699.367 | + | 183.136i | −0.930010 | + | 0.243532i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 30.2570 | − | 88.7195i | 0.0401287 | − | 0.117665i | ||||
\(755\) | − | 249.466i | − | 0.330418i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1162.89 | 1.53619 | 0.768094 | − | 0.640338i | \(-0.221206\pi\) | ||||
0.768094 | + | 0.640338i | \(0.221206\pi\) | |||||||
\(758\) | 1020.55 | + | 348.051i | 1.34638 | + | 0.459171i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 45.8491 | + | 69.2561i | 0.0603278 | + | 0.0911264i | ||||
\(761\) | 460.254 | 0.604802 | 0.302401 | − | 0.953181i | \(-0.402212\pi\) | ||||
0.302401 | + | 0.953181i | \(0.402212\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2274.88i | 2.98149i | ||||||||
\(764\) | 5.90967 | − | 7.65643i | 0.00773516 | − | 0.0100215i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 800.356 | + | 272.954i | 1.04485 | + | 0.356337i | ||||
\(767\) | − | 32.6305i | − | 0.0425431i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 757.145 | 0.984584 | 0.492292 | − | 0.870430i | \(-0.336159\pi\) | ||||
0.492292 | + | 0.870430i | \(0.336159\pi\) | |||||||
\(770\) | 174.137 | − | 510.603i | 0.226151 | − | 0.663120i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 477.226 | + | 368.350i | 0.618168 | + | 0.477138i | ||||
\(773\) | −1071.48 | −1.38614 | −0.693068 | − | 0.720872i | \(-0.743742\pi\) | ||||
−0.693068 | + | 0.720872i | \(0.743742\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 476.894i | − | 0.615347i | ||||||
\(776\) | 1062.51 | − | 703.409i | 1.36922 | − | 0.906455i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −314.452 | + | 922.036i | −0.404180 | + | 1.18514i | ||||
\(779\) | 167.392i | 0.214881i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −813.362 | −1.04144 | ||||||||
\(782\) | 710.014 | + | 242.144i | 0.907946 | + | 0.309647i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −422.238 | − | 1612.46i | −0.538568 | − | 2.05670i | ||||
\(785\) | −351.785 | −0.448134 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 625.691i | 0.795033i | 0.917595 | + | 0.397517i | \(0.130128\pi\) | ||||
−0.917595 | + | 0.397517i | \(0.869872\pi\) | |||||||
\(788\) | 849.257 | + | 655.505i | 1.07774 | + | 0.831859i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −233.293 | − | 79.5627i | −0.295308 | − | 0.100712i | ||||
\(791\) | 903.132i | 1.14176i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 31.2159 | 0.0393643 | ||||||||
\(794\) | 417.481 | − | 1224.14i | 0.525795 | − | 1.54173i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −754.275 | + | 977.221i | −0.947582 | + | 1.22766i | ||||
\(797\) | 549.357 | 0.689281 | 0.344641 | − | 0.938735i | \(-0.388001\pi\) | ||||
0.344641 | + | 0.938735i | \(0.388001\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 1228.07i | − | 1.53701i | ||||||
\(800\) | 616.832 | + | 44.8374i | 0.771040 | + | 0.0560468i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −9.07386 | + | 26.6063i | −0.0113140 | + | 0.0331750i | ||||
\(803\) | 181.701i | 0.226278i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 406.818 | 0.505364 | ||||||||
\(806\) | −43.9162 | − | 14.9773i | −0.0544867 | − | 0.0185822i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −234.522 | + | 155.259i | −0.290250 | + | 0.192153i | ||||
\(809\) | 7.38519 | 0.00912879 | 0.00456440 | − | 0.999990i | \(-0.498547\pi\) | ||||
0.00456440 | + | 0.999990i | \(0.498547\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1100.76i | 1.35729i | 0.734466 | + | 0.678645i | \(0.237433\pi\) | ||||
−0.734466 | + | 0.678645i | \(0.762567\pi\) | |||||||
\(812\) | 1507.87 | − | 1953.56i | 1.85698 | − | 2.40586i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −474.176 | − | 161.714i | −0.582526 | − | 0.198666i | ||||
\(815\) | 436.123i | 0.535121i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −179.634 | −0.219870 | ||||||||
\(818\) | −92.7479 | + | 271.955i | −0.113384 | + | 0.332463i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −289.632 | − | 223.554i | −0.353210 | − | 0.272627i | ||||
\(821\) | −80.5795 | −0.0981480 | −0.0490740 | − | 0.998795i | \(-0.515627\pi\) | ||||
−0.0490740 | + | 0.998795i | \(0.515627\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 980.615i | 1.19151i | 0.803165 | + | 0.595756i | \(0.203148\pi\) | ||||
−0.803165 | + | 0.595756i | \(0.796852\pi\) | |||||||
\(824\) | −517.631 | − | 781.892i | −0.628193 | − | 0.948898i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 277.293 | − | 813.076i | 0.335705 | − | 0.984353i | ||||
\(827\) | 1517.68i | 1.83516i | 0.397553 | + | 0.917579i | \(0.369859\pi\) | ||||
−0.397553 | + | 0.917579i | \(0.630141\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −229.487 | −0.276823 | −0.138412 | − | 0.990375i | \(-0.544200\pi\) | ||||
−0.138412 | + | 0.990375i | \(0.544200\pi\) | |||||||
\(830\) | 29.8900 | + | 10.1937i | 0.0360121 | + | 0.0122816i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 23.5011 | − | 55.3947i | 0.0282465 | − | 0.0665802i | ||||
\(833\) | 2831.43 | 3.39908 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 510.906i | − | 0.611863i | ||||||
\(836\) | −126.296 | − | 97.4825i | −0.151072 | − | 0.116606i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1083.61 | + | 369.557i | 1.29310 | + | 0.440999i | ||||
\(839\) | 949.272i | 1.13143i | 0.824600 | + | 0.565716i | \(0.191400\pi\) | ||||
−0.824600 | + | 0.565716i | \(0.808600\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1643.90 | 1.95470 | ||||||||
\(842\) | −463.884 | + | 1360.20i | −0.550931 | + | 1.61544i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 816.344 | − | 1057.64i | 0.967232 | − | 1.25312i | ||||
\(845\) | −400.425 | −0.473876 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 461.286i | − | 0.544611i | ||||||
\(848\) | 81.0476 | + | 309.508i | 0.0955750 | + | 0.364985i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −339.112 | + | 994.342i | −0.398955 | + | 1.16981i | ||||
\(851\) | − | 377.796i | − | 0.443944i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 245.110 | 0.287350 | 0.143675 | − | 0.989625i | \(-0.454108\pi\) | ||||
0.143675 | + | 0.989625i | \(0.454108\pi\) | |||||||
\(854\) | 777.826 | + | 265.271i | 0.910803 | + | 0.310622i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −847.154 | − | 1279.64i | −0.989666 | − | 1.49491i | ||||
\(857\) | −659.731 | −0.769814 | −0.384907 | − | 0.922955i | \(-0.625766\pi\) | ||||
−0.384907 | + | 0.922955i | \(0.625766\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1240.81i | 1.44449i | 0.691639 | + | 0.722244i | \(0.256889\pi\) | ||||
−0.691639 | + | 0.722244i | \(0.743111\pi\) | |||||||
\(860\) | 239.903 | − | 310.813i | 0.278957 | − | 0.361410i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 477.397 | + | 162.812i | 0.553825 | + | 0.188877i | ||||
\(863\) | 1063.44i | 1.23226i | 0.787646 | + | 0.616129i | \(0.211300\pi\) | ||||
−0.787646 | + | 0.616129i | \(0.788700\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −64.7501 | −0.0748556 | ||||||||
\(866\) | −154.297 | + | 452.429i | −0.178172 | + | 0.522435i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −967.013 | − | 746.396i | −1.11407 | − | 0.859903i | ||||
\(869\) | 473.467 | 0.544841 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 3.27375i | − | 0.00375861i | ||||||
\(872\) | −1226.12 | + | 811.718i | −1.40610 | + | 0.930869i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 38.8342 | − | 113.869i | 0.0444327 | − | 0.130285i | ||||
\(875\) | 1306.70i | 1.49337i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −867.685 | −0.989379 | −0.494689 | − | 0.869070i | \(-0.664718\pi\) | ||||
−0.494689 | + | 0.869070i | \(0.664718\pi\) | |||||||
\(878\) | 32.7006 | + | 11.1522i | 0.0372444 | + | 0.0127019i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 337.340 | − | 88.3358i | 0.383341 | − | 0.100382i | ||||
\(881\) | −1540.22 | −1.74826 | −0.874132 | − | 0.485688i | \(-0.838569\pi\) | ||||
−0.874132 | + | 0.485688i | \(0.838569\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 590.651i | − | 0.668914i | −0.942411 | − | 0.334457i | \(-0.891447\pi\) | ||
0.942411 | − | 0.334457i | \(-0.108553\pi\) | |||||||
\(884\) | 80.9169 | + | 62.4563i | 0.0915350 | + | 0.0706519i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −305.235 | − | 104.098i | −0.344509 | − | 0.117492i | ||||
\(887\) | − | 336.467i | − | 0.379332i | −0.981849 | − | 0.189666i | \(-0.939259\pi\) | ||
0.981849 | − | 0.189666i | \(-0.0607405\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −141.358 | −0.159007 | ||||||||
\(890\) | 48.4521 | − | 142.071i | 0.0544405 | − | 0.159630i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 709.125 | − | 918.726i | 0.794983 | − | 1.02996i | ||||
\(893\) | −196.954 | −0.220553 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 441.316i | − | 0.493091i | ||||||
\(896\) | 1056.33 | − | 1180.59i | 1.17894 | − | 1.31763i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 362.781 | − | 1063.74i | 0.403987 | − | 1.18457i | ||||
\(899\) | − | 1230.03i | − | 1.36822i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −543.488 | −0.603205 | ||||||||
\(902\) | 665.171 | + | 226.851i | 0.737440 | + | 0.251498i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −486.770 | + | 322.253i | −0.538463 | + | 0.356475i | ||||
\(905\) | 40.5269 | 0.0447811 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 850.338i | 0.937528i | 0.883323 | + | 0.468764i | \(0.155301\pi\) | ||||
−0.883323 | + | 0.468764i | \(0.844699\pi\) | |||||||
\(908\) | −186.375 | + | 241.463i | −0.205259 | + | 0.265928i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 52.4653 | + | 17.8929i | 0.0576542 | + | 0.0196625i | ||||
\(911\) | − | 1658.66i | − | 1.82070i | −0.413837 | − | 0.910351i | \(-0.635812\pi\) | ||
0.413837 | − | 0.910351i | \(-0.364188\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −60.6616 | −0.0664420 | ||||||||
\(914\) | 69.3186 | − | 203.256i | 0.0758409 | − | 0.222380i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 673.761 | + | 520.047i | 0.735547 | + | 0.567737i | ||||
\(917\) | 457.324 | 0.498718 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 684.608i | − | 0.744948i | −0.928043 | − | 0.372474i | \(-0.878510\pi\) | ||
0.928043 | − | 0.372474i | \(-0.121490\pi\) | |||||||
\(920\) | 145.160 | + | 219.267i | 0.157783 | + | 0.238334i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 430.147 | − | 1261.27i | 0.466537 | − | 1.36798i | ||||
\(923\) | − | 83.5744i | − | 0.0905465i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 529.086 | 0.571985 | ||||||||
\(926\) | −515.558 | − | 175.827i | −0.556758 | − | 0.189878i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1590.96 | + | 115.647i | 1.71440 | + | 0.124620i | ||||
\(929\) | 191.705 | 0.206356 | 0.103178 | − | 0.994663i | \(-0.467099\pi\) | ||||
0.103178 | + | 0.994663i | \(0.467099\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 454.094i | − | 0.487749i | ||||||
\(932\) | −343.574 | − | 265.190i | −0.368641 | − | 0.284538i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1331.47 | − | 454.087i | −1.42556 | − | 0.486174i | ||||
\(935\) | 592.361i | 0.633541i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1030.61 | 1.09990 | 0.549951 | − | 0.835197i | \(-0.314646\pi\) | ||||
0.549951 | + | 0.835197i | \(0.314646\pi\) | |||||||
\(938\) | 27.8202 | − | 81.5742i | 0.0296590 | − | 0.0869660i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 263.034 | − | 340.781i | 0.279823 | − | 0.362533i | ||||
\(941\) | 551.115 | 0.585669 | 0.292835 | − | 0.956163i | \(-0.405401\pi\) | ||||
0.292835 | + | 0.956163i | \(0.405401\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 529.970i | 0.562004i | ||||||||
\(944\) | 537.175 | − | 140.665i | 0.569041 | − | 0.149009i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −243.441 | + | 713.816i | −0.257337 | + | 0.754562i | ||||
\(947\) | 1465.05i | 1.54704i | 0.633773 | + | 0.773519i | \(0.281506\pi\) | ||||
−0.633773 | + | 0.773519i | \(0.718494\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −18.6701 | −0.0196734 | ||||||||
\(950\) | 159.469 | + | 54.3855i | 0.167862 | + | 0.0572478i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1485.51 | + | 2243.89i | 1.56041 | + | 2.35703i | ||||
\(953\) | 572.440 | 0.600671 | 0.300336 | − | 0.953834i | \(-0.402901\pi\) | ||||
0.300336 | + | 0.953834i | \(0.402901\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.75920i | 0.00603058i | ||||||||
\(956\) | −35.4697 | + | 45.9538i | −0.0371022 | + | 0.0480688i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 855.556 | + | 291.780i | 0.893065 | + | 0.304572i | ||||
\(959\) | − | 2014.71i | − | 2.10084i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 352.134 | 0.366425 | ||||||||
\(962\) | 16.6164 | − | 48.7225i | 0.0172727 | − | 0.0506471i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 881.033 | + | 680.031i | 0.913934 | + | 0.705426i | ||||
\(965\) | −358.972 | −0.371992 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 228.290i | 0.236080i | 0.993009 | + | 0.118040i | \(0.0376612\pi\) | ||||
−0.993009 | + | 0.118040i | \(0.962339\pi\) | |||||||
\(968\) | 248.624 | − | 164.595i | 0.256843 | − | 0.170036i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −244.919 | + | 718.150i | −0.252494 | + | 0.740361i | ||||
\(971\) | 1338.46i | 1.37843i | 0.724555 | + | 0.689217i | \(0.242045\pi\) | ||||
−0.724555 | + | 0.689217i | \(0.757955\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2837.10 | −2.91582 | ||||||||
\(974\) | 556.324 | + | 189.730i | 0.571175 | + | 0.194794i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 134.566 | + | 513.887i | 0.137875 | + | 0.526523i | ||||
\(977\) | −396.018 | −0.405341 | −0.202671 | − | 0.979247i | \(-0.564962\pi\) | ||||
−0.202671 | + | 0.979247i | \(0.564962\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 288.332i | 0.294517i | ||||||||
\(980\) | 785.701 | + | 606.449i | 0.801736 | + | 0.618825i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 172.920 | + | 58.9729i | 0.176090 | + | 0.0600539i | ||||
\(983\) | − | 169.385i | − | 0.172315i | −0.996282 | − | 0.0861573i | \(-0.972541\pi\) | ||
0.996282 | − | 0.0861573i | \(-0.0274588\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −638.816 | −0.648544 | ||||||||
\(986\) | −874.654 | + | 2564.66i | −0.887073 | + | 2.60107i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 10.0165 | − | 12.9772i | 0.0101382 | − | 0.0131348i | ||||
\(989\) | −568.727 | −0.575052 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 899.988i | 0.908161i | 0.890961 | + | 0.454080i | \(0.150032\pi\) | ||||
−0.890961 | + | 0.454080i | \(0.849968\pi\) | |||||||
\(992\) | 57.2454 | − | 787.529i | 0.0577070 | − | 0.793880i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 710.211 | − | 2082.48i | 0.714498 | − | 2.09505i | ||||
\(995\) | − | 735.071i | − | 0.738765i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1265.57 | −1.26938 | −0.634689 | − | 0.772768i | \(-0.718872\pi\) | ||||
−0.634689 | + | 0.772768i | \(0.718872\pi\) | |||||||
\(998\) | −1436.36 | − | 489.857i | −1.43924 | − | 0.490839i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 684.3.g.b.343.8 | 14 | ||
3.2 | odd | 2 | 76.3.b.b.39.7 | ✓ | 14 | ||
4.3 | odd | 2 | inner | 684.3.g.b.343.7 | 14 | ||
12.11 | even | 2 | 76.3.b.b.39.8 | yes | 14 | ||
24.5 | odd | 2 | 1216.3.d.d.191.9 | 14 | |||
24.11 | even | 2 | 1216.3.d.d.191.6 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.b.b.39.7 | ✓ | 14 | 3.2 | odd | 2 | ||
76.3.b.b.39.8 | yes | 14 | 12.11 | even | 2 | ||
684.3.g.b.343.7 | 14 | 4.3 | odd | 2 | inner | ||
684.3.g.b.343.8 | 14 | 1.1 | even | 1 | trivial | ||
1216.3.d.d.191.6 | 14 | 24.11 | even | 2 | |||
1216.3.d.d.191.9 | 14 | 24.5 | odd | 2 |