Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,3,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (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: | \(0.354224343668\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 13.7 |
Dual form | 13.3.f.a.2.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.133975i | −0.250000 | + | 0.0669873i | −0.381643 | − | 0.924310i | \(-0.624642\pi\) |
0.131643 | + | 0.991297i | \(0.457975\pi\) | |||||||
\(3\) | 0.366025 | − | 0.633975i | 0.122008 | − | 0.211325i | −0.798551 | − | 0.601927i | \(-0.794400\pi\) |
0.920560 | + | 0.390602i | \(0.127733\pi\) | |||||||
\(4\) | −3.23205 | + | 1.86603i | −0.808013 | + | 0.466506i | ||||
\(5\) | −2.63397 | − | 2.63397i | −0.526795 | − | 0.526795i | 0.392820 | − | 0.919615i | \(-0.371499\pi\) |
−0.919615 | + | 0.392820i | \(0.871499\pi\) | |||||||
\(6\) | −0.0980762 | + | 0.366025i | −0.0163460 | + | 0.0610042i | ||||
\(7\) | 5.73205 | + | 1.53590i | 0.818864 | + | 0.219414i | 0.643850 | − | 0.765152i | \(-0.277336\pi\) |
0.175014 | + | 0.984566i | \(0.444003\pi\) | |||||||
\(8\) | 2.83013 | − | 2.83013i | 0.353766 | − | 0.353766i | ||||
\(9\) | 4.23205 | + | 7.33013i | 0.470228 | + | 0.814459i | ||||
\(10\) | 1.66987 | + | 0.964102i | 0.166987 | + | 0.0964102i | ||||
\(11\) | −4.19615 | − | 15.6603i | −0.381468 | − | 1.42366i | −0.843659 | − | 0.536879i | \(-0.819603\pi\) |
0.462191 | − | 0.886780i | \(-0.347063\pi\) | |||||||
\(12\) | 2.73205i | 0.227671i | ||||||||
\(13\) | −6.50000 | + | 11.2583i | −0.500000 | + | 0.866025i | ||||
\(14\) | −3.07180 | −0.219414 | ||||||||
\(15\) | −2.63397 | + | 0.705771i | −0.175598 | + | 0.0470514i | ||||
\(16\) | 6.42820 | − | 11.1340i | 0.401763 | − | 0.695873i | ||||
\(17\) | −15.9904 | + | 9.23205i | −0.940611 | + | 0.543062i | −0.890152 | − | 0.455664i | \(-0.849402\pi\) |
−0.0504590 | + | 0.998726i | \(0.516068\pi\) | |||||||
\(18\) | −3.09808 | − | 3.09808i | −0.172115 | − | 0.172115i | ||||
\(19\) | 1.63397 | − | 6.09808i | 0.0859987 | − | 0.320951i | −0.909503 | − | 0.415698i | \(-0.863537\pi\) |
0.995501 | + | 0.0947465i | \(0.0302040\pi\) | |||||||
\(20\) | 13.4282 | + | 3.59808i | 0.671410 | + | 0.179904i | ||||
\(21\) | 3.07180 | − | 3.07180i | 0.146276 | − | 0.146276i | ||||
\(22\) | 4.19615 | + | 7.26795i | 0.190734 | + | 0.330361i | ||||
\(23\) | 17.4904 | + | 10.0981i | 0.760451 | + | 0.439047i | 0.829458 | − | 0.558569i | \(-0.188650\pi\) |
−0.0690064 | + | 0.997616i | \(0.521983\pi\) | |||||||
\(24\) | −0.758330 | − | 2.83013i | −0.0315971 | − | 0.117922i | ||||
\(25\) | − | 11.1244i | − | 0.444974i | ||||||
\(26\) | 1.74167 | − | 6.50000i | 0.0669873 | − | 0.250000i | ||||
\(27\) | 12.7846 | 0.473504 | ||||||||
\(28\) | −21.3923 | + | 5.73205i | −0.764011 | + | 0.204716i | ||||
\(29\) | −4.69615 | + | 8.13397i | −0.161936 | + | 0.280482i | −0.935563 | − | 0.353160i | \(-0.885107\pi\) |
0.773627 | + | 0.633642i | \(0.218441\pi\) | |||||||
\(30\) | 1.22243 | − | 0.705771i | 0.0407477 | − | 0.0235257i | ||||
\(31\) | −11.9282 | − | 11.9282i | −0.384781 | − | 0.384781i | 0.488040 | − | 0.872821i | \(-0.337712\pi\) |
−0.872821 | + | 0.488040i | \(0.837712\pi\) | |||||||
\(32\) | −5.86603 | + | 21.8923i | −0.183313 | + | 0.684135i | ||||
\(33\) | −11.4641 | − | 3.07180i | −0.347397 | − | 0.0930848i | ||||
\(34\) | 6.75833 | − | 6.75833i | 0.198774 | − | 0.198774i | ||||
\(35\) | −11.0526 | − | 19.1436i | −0.315787 | − | 0.546960i | ||||
\(36\) | −27.3564 | − | 15.7942i | −0.759900 | − | 0.438729i | ||||
\(37\) | 8.11474 | + | 30.2846i | 0.219317 | + | 0.818503i | 0.984602 | + | 0.174811i | \(0.0559315\pi\) |
−0.765285 | + | 0.643692i | \(0.777402\pi\) | |||||||
\(38\) | 3.26795i | 0.0859987i | ||||||||
\(39\) | 4.75833 | + | 8.24167i | 0.122008 | + | 0.211325i | ||||
\(40\) | −14.9090 | −0.372724 | ||||||||
\(41\) | 44.9186 | − | 12.0359i | 1.09558 | − | 0.293558i | 0.334614 | − | 0.942355i | \(-0.391394\pi\) |
0.760962 | + | 0.648797i | \(0.224728\pi\) | |||||||
\(42\) | −1.12436 | + | 1.94744i | −0.0267704 | + | 0.0463676i | ||||
\(43\) | 45.0000 | − | 25.9808i | 1.04651 | − | 0.604204i | 0.124841 | − | 0.992177i | \(-0.460158\pi\) |
0.921671 | + | 0.387973i | \(0.126825\pi\) | |||||||
\(44\) | 42.7846 | + | 42.7846i | 0.972377 | + | 0.972377i | ||||
\(45\) | 8.16025 | − | 30.4545i | 0.181339 | − | 0.676766i | ||||
\(46\) | −10.0981 | − | 2.70577i | −0.219523 | − | 0.0588211i | ||||
\(47\) | −34.3205 | + | 34.3205i | −0.730224 | + | 0.730224i | −0.970664 | − | 0.240440i | \(-0.922708\pi\) |
0.240440 | + | 0.970664i | \(0.422708\pi\) | |||||||
\(48\) | −4.70577 | − | 8.15064i | −0.0980369 | − | 0.169805i | ||||
\(49\) | −11.9378 | − | 6.89230i | −0.243629 | − | 0.140659i | ||||
\(50\) | 1.49038 | + | 5.56218i | 0.0298076 | + | 0.111244i | ||||
\(51\) | 13.5167i | 0.265033i | ||||||||
\(52\) | − | 48.5167i | − | 0.933013i | ||||||
\(53\) | −14.7654 | −0.278592 | −0.139296 | − | 0.990251i | \(-0.544484\pi\) | ||||
−0.139296 | + | 0.990251i | \(0.544484\pi\) | |||||||
\(54\) | −6.39230 | + | 1.71281i | −0.118376 | + | 0.0317188i | ||||
\(55\) | −30.1962 | + | 52.3013i | −0.549021 | + | 0.950932i | ||||
\(56\) | 20.5692 | − | 11.8756i | 0.367307 | − | 0.212065i | ||||
\(57\) | −3.26795 | − | 3.26795i | −0.0573324 | − | 0.0573324i | ||||
\(58\) | 1.25833 | − | 4.69615i | 0.0216953 | − | 0.0809681i | ||||
\(59\) | −92.9615 | − | 24.9090i | −1.57562 | − | 0.422186i | −0.638053 | − | 0.769993i | \(-0.720260\pi\) |
−0.937566 | + | 0.347807i | \(0.886927\pi\) | |||||||
\(60\) | 7.19615 | − | 7.19615i | 0.119936 | − | 0.119936i | ||||
\(61\) | −12.8135 | − | 22.1936i | −0.210057 | − | 0.363829i | 0.741675 | − | 0.670759i | \(-0.234032\pi\) |
−0.951732 | + | 0.306930i | \(0.900698\pi\) | |||||||
\(62\) | 7.56218 | + | 4.36603i | 0.121971 | + | 0.0704198i | ||||
\(63\) | 13.0000 | + | 48.5167i | 0.206349 | + | 0.770106i | ||||
\(64\) | 39.6936i | 0.620212i | ||||||||
\(65\) | 46.7750 | − | 12.5333i | 0.719615 | − | 0.192820i | ||||
\(66\) | 6.14359 | 0.0930848 | ||||||||
\(67\) | 39.0263 | − | 10.4571i | 0.582482 | − | 0.156076i | 0.0444669 | − | 0.999011i | \(-0.485841\pi\) |
0.538015 | + | 0.842935i | \(0.319174\pi\) | |||||||
\(68\) | 34.4545 | − | 59.6769i | 0.506684 | − | 0.877602i | ||||
\(69\) | 12.8038 | − | 7.39230i | 0.185563 | − | 0.107135i | ||||
\(70\) | 8.09103 | + | 8.09103i | 0.115586 | + | 0.115586i | ||||
\(71\) | −11.9737 | + | 44.6865i | −0.168644 | + | 0.629388i | 0.828903 | + | 0.559392i | \(0.188965\pi\) |
−0.997547 | + | 0.0699959i | \(0.977701\pi\) | |||||||
\(72\) | 32.7224 | + | 8.76795i | 0.454478 | + | 0.121777i | ||||
\(73\) | −19.2750 | + | 19.2750i | −0.264041 | + | 0.264041i | −0.826693 | − | 0.562653i | \(-0.809781\pi\) |
0.562653 | + | 0.826693i | \(0.309781\pi\) | |||||||
\(74\) | −8.11474 | − | 14.0551i | −0.109659 | − | 0.189934i | ||||
\(75\) | −7.05256 | − | 4.07180i | −0.0940341 | − | 0.0542906i | ||||
\(76\) | 6.09808 | + | 22.7583i | 0.0802378 | + | 0.299452i | ||||
\(77\) | − | 96.2102i | − | 1.24948i | ||||||
\(78\) | −3.48334 | − | 3.48334i | −0.0446582 | − | 0.0446582i | ||||
\(79\) | 62.7461 | 0.794255 | 0.397127 | − | 0.917763i | \(-0.370007\pi\) | ||||
0.397127 | + | 0.917763i | \(0.370007\pi\) | |||||||
\(80\) | −46.2583 | + | 12.3949i | −0.578229 | + | 0.154936i | ||||
\(81\) | −33.4090 | + | 57.8660i | −0.412456 | + | 0.714395i | ||||
\(82\) | −20.8468 | + | 12.0359i | −0.254229 | + | 0.146779i | ||||
\(83\) | −24.4833 | − | 24.4833i | −0.294980 | − | 0.294980i | 0.544064 | − | 0.839044i | \(-0.316885\pi\) |
−0.839044 | + | 0.544064i | \(0.816885\pi\) | |||||||
\(84\) | −4.19615 | + | 15.6603i | −0.0499542 | + | 0.186432i | ||||
\(85\) | 66.4352 | + | 17.8013i | 0.781591 | + | 0.209427i | ||||
\(86\) | −19.0192 | + | 19.0192i | −0.221154 | + | 0.221154i | ||||
\(87\) | 3.43782 | + | 5.95448i | 0.0395152 | + | 0.0684423i | ||||
\(88\) | −56.1962 | − | 32.4449i | −0.638593 | − | 0.368692i | ||||
\(89\) | −23.1699 | − | 86.4711i | −0.260336 | − | 0.971586i | −0.965044 | − | 0.262089i | \(-0.915589\pi\) |
0.704708 | − | 0.709497i | \(-0.251078\pi\) | |||||||
\(90\) | 16.3205i | 0.181339i | ||||||||
\(91\) | −54.5500 | + | 54.5500i | −0.599450 | + | 0.599450i | ||||
\(92\) | −75.3731 | −0.819272 | ||||||||
\(93\) | −11.9282 | + | 3.19615i | −0.128260 | + | 0.0343672i | ||||
\(94\) | 12.5622 | − | 21.7583i | 0.133640 | − | 0.231472i | ||||
\(95\) | −20.3660 | + | 11.7583i | −0.214379 | + | 0.123772i | ||||
\(96\) | 11.7321 | + | 11.7321i | 0.122209 | + | 0.122209i | ||||
\(97\) | 14.1891 | − | 52.9545i | 0.146279 | − | 0.545923i | −0.853416 | − | 0.521231i | \(-0.825473\pi\) |
0.999695 | − | 0.0246915i | \(-0.00786034\pi\) | |||||||
\(98\) | 6.89230 | + | 1.84679i | 0.0703296 | + | 0.0188448i | ||||
\(99\) | 97.0333 | − | 97.0333i | 0.980135 | − | 0.980135i | ||||
\(100\) | 20.7583 | + | 35.9545i | 0.207583 | + | 0.359545i | ||||
\(101\) | 138.560 | + | 79.9974i | 1.37188 | + | 0.792054i | 0.991164 | − | 0.132640i | \(-0.0423453\pi\) |
0.380713 | + | 0.924693i | \(0.375679\pi\) | |||||||
\(102\) | −1.81089 | − | 6.75833i | −0.0177538 | − | 0.0662581i | ||||
\(103\) | 78.7705i | 0.764762i | 0.924005 | + | 0.382381i | \(0.124896\pi\) | ||||
−0.924005 | + | 0.382381i | \(0.875104\pi\) | |||||||
\(104\) | 13.4667 | + | 50.2583i | 0.129487 | + | 0.483253i | ||||
\(105\) | −16.1821 | −0.154115 | ||||||||
\(106\) | 7.38269 | − | 1.97818i | 0.0696480 | − | 0.0186621i | ||||
\(107\) | 47.6673 | − | 82.5622i | 0.445489 | − | 0.771609i | −0.552597 | − | 0.833448i | \(-0.686363\pi\) |
0.998086 | + | 0.0618392i | \(0.0196966\pi\) | |||||||
\(108\) | −41.3205 | + | 23.8564i | −0.382597 | + | 0.220893i | ||||
\(109\) | −51.9808 | − | 51.9808i | −0.476888 | − | 0.476888i | 0.427247 | − | 0.904135i | \(-0.359483\pi\) |
−0.904135 | + | 0.427247i | \(0.859483\pi\) | |||||||
\(110\) | 8.09103 | − | 30.1962i | 0.0735549 | − | 0.274510i | ||||
\(111\) | 22.1699 | + | 5.94040i | 0.199729 | + | 0.0535171i | ||||
\(112\) | 53.9474 | − | 53.9474i | 0.481674 | − | 0.481674i | ||||
\(113\) | 71.9904 | + | 124.691i | 0.637083 | + | 1.10346i | 0.986070 | + | 0.166332i | \(0.0531925\pi\) |
−0.348987 | + | 0.937128i | \(0.613474\pi\) | |||||||
\(114\) | 2.07180 | + | 1.19615i | 0.0181737 | + | 0.0104926i | ||||
\(115\) | −19.4711 | − | 72.6673i | −0.169314 | − | 0.631890i | ||||
\(116\) | − | 35.0526i | − | 0.302177i | ||||||
\(117\) | −110.033 | −0.940456 | ||||||||
\(118\) | 49.8179 | 0.422186 | ||||||||
\(119\) | −105.837 | + | 28.3590i | −0.889388 | + | 0.238311i | ||||
\(120\) | −5.45706 | + | 9.45191i | −0.0454755 | + | 0.0787659i | ||||
\(121\) | −122.847 | + | 70.9256i | −1.01526 | + | 0.586162i | ||||
\(122\) | 9.38011 | + | 9.38011i | 0.0768861 | + | 0.0768861i | ||||
\(123\) | 8.81089 | − | 32.8827i | 0.0716332 | − | 0.267339i | ||||
\(124\) | 60.8109 | + | 16.2942i | 0.490410 | + | 0.131405i | ||||
\(125\) | −95.1506 | + | 95.1506i | −0.761205 | + | 0.761205i | ||||
\(126\) | −13.0000 | − | 22.5167i | −0.103175 | − | 0.178704i | ||||
\(127\) | −24.6673 | − | 14.2417i | −0.194231 | − | 0.112139i | 0.399731 | − | 0.916633i | \(-0.369104\pi\) |
−0.593962 | + | 0.804493i | \(0.702437\pi\) | |||||||
\(128\) | −28.7820 | − | 107.416i | −0.224860 | − | 0.839188i | ||||
\(129\) | − | 38.0385i | − | 0.294872i | ||||||
\(130\) | −21.7083 | + | 12.5333i | −0.166987 | + | 0.0964102i | ||||
\(131\) | −2.98076 | −0.0227539 | −0.0113770 | − | 0.999935i | \(-0.503621\pi\) | ||||
−0.0113770 | + | 0.999935i | \(0.503621\pi\) | |||||||
\(132\) | 42.7846 | − | 11.4641i | 0.324126 | − | 0.0868493i | ||||
\(133\) | 18.7321 | − | 32.4449i | 0.140842 | − | 0.243946i | ||||
\(134\) | −18.1122 | + | 10.4571i | −0.135165 | + | 0.0780378i | ||||
\(135\) | −33.6743 | − | 33.6743i | −0.249440 | − | 0.249440i | ||||
\(136\) | −19.1269 | + | 71.3827i | −0.140639 | + | 0.524873i | ||||
\(137\) | 94.6051 | + | 25.3494i | 0.690548 | + | 0.185032i | 0.586993 | − | 0.809592i | \(-0.300312\pi\) |
0.103555 | + | 0.994624i | \(0.466978\pi\) | |||||||
\(138\) | −5.41154 | + | 5.41154i | −0.0392141 | + | 0.0392141i | ||||
\(139\) | −16.2154 | − | 28.0859i | −0.116657 | − | 0.202057i | 0.801784 | − | 0.597614i | \(-0.203885\pi\) |
−0.918441 | + | 0.395558i | \(0.870551\pi\) | |||||||
\(140\) | 71.4449 | + | 41.2487i | 0.510320 | + | 0.294634i | ||||
\(141\) | 9.19615 | + | 34.3205i | 0.0652209 | + | 0.243408i | ||||
\(142\) | − | 23.9474i | − | 0.168644i | ||||||
\(143\) | 203.583 | + | 54.5500i | 1.42366 | + | 0.381468i | ||||
\(144\) | 108.818 | 0.755680 | ||||||||
\(145\) | 33.7942 | − | 9.05514i | 0.233064 | − | 0.0624492i | ||||
\(146\) | 7.05514 | − | 12.2199i | 0.0483229 | − | 0.0836976i | ||||
\(147\) | −8.73909 | + | 5.04552i | −0.0594496 | + | 0.0343232i | ||||
\(148\) | −82.7391 | − | 82.7391i | −0.559048 | − | 0.559048i | ||||
\(149\) | −33.0903 | + | 123.495i | −0.222083 | + | 0.828824i | 0.761469 | + | 0.648201i | \(0.224478\pi\) |
−0.983552 | + | 0.180624i | \(0.942188\pi\) | |||||||
\(150\) | 4.07180 | + | 1.09103i | 0.0271453 | + | 0.00727356i | ||||
\(151\) | 127.995 | − | 127.995i | 0.847648 | − | 0.847648i | −0.142191 | − | 0.989839i | \(-0.545415\pi\) |
0.989839 | + | 0.142191i | \(0.0454148\pi\) | |||||||
\(152\) | −12.6340 | − | 21.8827i | −0.0831183 | − | 0.143965i | ||||
\(153\) | −135.344 | − | 78.1410i | −0.884603 | − | 0.510726i | ||||
\(154\) | 12.8897 | + | 48.1051i | 0.0836995 | + | 0.312371i | ||||
\(155\) | 62.8372i | 0.405401i | ||||||||
\(156\) | −30.7583 | − | 17.7583i | −0.197169 | − | 0.113835i | ||||
\(157\) | −97.7461 | −0.622587 | −0.311293 | − | 0.950314i | \(-0.600762\pi\) | ||||
−0.311293 | + | 0.950314i | \(0.600762\pi\) | |||||||
\(158\) | −31.3731 | + | 8.40639i | −0.198564 | + | 0.0532050i | ||||
\(159\) | −5.40450 | + | 9.36087i | −0.0339906 | + | 0.0588734i | ||||
\(160\) | 73.1147 | − | 42.2128i | 0.456967 | − | 0.263830i | ||||
\(161\) | 84.7461 | + | 84.7461i | 0.526374 | + | 0.526374i | ||||
\(162\) | 8.95191 | − | 33.4090i | 0.0552587 | − | 0.206228i | ||||
\(163\) | −122.282 | − | 32.7654i | −0.750197 | − | 0.201015i | −0.136591 | − | 0.990627i | \(-0.543615\pi\) |
−0.613605 | + | 0.789613i | \(0.710281\pi\) | |||||||
\(164\) | −122.720 | + | 122.720i | −0.748292 | + | 0.748292i | ||||
\(165\) | 22.1051 | + | 38.2872i | 0.133970 | + | 0.232044i | ||||
\(166\) | 15.5218 | + | 8.96152i | 0.0935049 | + | 0.0539851i | ||||
\(167\) | −13.5936 | − | 50.7321i | −0.0813989 | − | 0.303785i | 0.913209 | − | 0.407491i | \(-0.133596\pi\) |
−0.994608 | + | 0.103707i | \(0.966930\pi\) | |||||||
\(168\) | − | 17.3872i | − | 0.103495i | ||||||
\(169\) | −84.5000 | − | 146.358i | −0.500000 | − | 0.866025i | ||||
\(170\) | −35.6025 | −0.209427 | ||||||||
\(171\) | 51.6147 | − | 13.8301i | 0.301841 | − | 0.0808779i | ||||
\(172\) | −96.9615 | + | 167.942i | −0.563730 | + | 0.976409i | ||||
\(173\) | 118.865 | − | 68.6269i | 0.687083 | − | 0.396687i | −0.115435 | − | 0.993315i | \(-0.536826\pi\) |
0.802518 | + | 0.596628i | \(0.203493\pi\) | |||||||
\(174\) | −2.51666 | − | 2.51666i | −0.0144636 | − | 0.0144636i | ||||
\(175\) | 17.0859 | − | 63.7654i | 0.0976336 | − | 0.364374i | ||||
\(176\) | −201.335 | − | 53.9474i | −1.14395 | − | 0.306520i | ||||
\(177\) | −49.8179 | + | 49.8179i | −0.281457 | + | 0.281457i | ||||
\(178\) | 23.1699 | + | 40.1314i | 0.130168 | + | 0.225457i | ||||
\(179\) | 0.903811 | + | 0.521815i | 0.00504922 | + | 0.00291517i | 0.502522 | − | 0.864564i | \(-0.332405\pi\) |
−0.497473 | + | 0.867479i | \(0.665739\pi\) | |||||||
\(180\) | 30.4545 | + | 113.658i | 0.169192 | + | 0.631432i | ||||
\(181\) | 23.0807i | 0.127518i | 0.997965 | + | 0.0637589i | \(0.0203089\pi\) | ||||
−0.997965 | + | 0.0637589i | \(0.979691\pi\) | |||||||
\(182\) | 19.9667 | − | 34.5833i | 0.109707 | − | 0.190018i | ||||
\(183\) | −18.7602 | −0.102515 | ||||||||
\(184\) | 78.0788 | − | 20.9212i | 0.424342 | − | 0.113702i | ||||
\(185\) | 58.3949 | − | 101.143i | 0.315648 | − | 0.546718i | ||||
\(186\) | 5.53590 | − | 3.19615i | 0.0297629 | − | 0.0171836i | ||||
\(187\) | 211.674 | + | 211.674i | 1.13195 | + | 1.13195i | ||||
\(188\) | 46.8827 | − | 174.969i | 0.249376 | − | 0.930684i | ||||
\(189\) | 73.2820 | + | 19.6359i | 0.387736 | + | 0.103893i | ||||
\(190\) | 8.60770 | − | 8.60770i | 0.0453037 | − | 0.0453037i | ||||
\(191\) | −147.002 | − | 254.615i | −0.769643 | − | 1.33306i | −0.937756 | − | 0.347294i | \(-0.887101\pi\) |
0.168113 | − | 0.985768i | \(-0.446233\pi\) | |||||||
\(192\) | 25.1647 | + | 14.5289i | 0.131066 | + | 0.0756711i | ||||
\(193\) | 85.5507 | + | 319.279i | 0.443268 | + | 1.65430i | 0.720470 | + | 0.693486i | \(0.243926\pi\) |
−0.277202 | + | 0.960812i | \(0.589407\pi\) | |||||||
\(194\) | 28.3782i | 0.146279i | ||||||||
\(195\) | 9.17503 | − | 34.2417i | 0.0470514 | − | 0.175598i | ||||
\(196\) | 51.4449 | 0.262474 | ||||||||
\(197\) | 85.1122 | − | 22.8057i | 0.432041 | − | 0.115765i | −0.0362429 | − | 0.999343i | \(-0.511539\pi\) |
0.468284 | + | 0.883578i | \(0.344872\pi\) | |||||||
\(198\) | −35.5167 | + | 61.5167i | −0.179377 | + | 0.310690i | ||||
\(199\) | 174.452 | − | 100.720i | 0.876643 | − | 0.506130i | 0.00709275 | − | 0.999975i | \(-0.497742\pi\) |
0.869550 | + | 0.493845i | \(0.164409\pi\) | |||||||
\(200\) | −31.4833 | − | 31.4833i | −0.157417 | − | 0.157417i | ||||
\(201\) | 7.65510 | − | 28.5692i | 0.0380851 | − | 0.142135i | ||||
\(202\) | −79.9974 | − | 21.4352i | −0.396027 | − | 0.106115i | ||||
\(203\) | −39.4115 | + | 39.4115i | −0.194146 | + | 0.194146i | ||||
\(204\) | −25.2224 | − | 43.6865i | −0.123639 | − | 0.214150i | ||||
\(205\) | −150.017 | − | 86.6122i | −0.731789 | − | 0.422498i | ||||
\(206\) | −10.5532 | − | 39.3853i | −0.0512294 | − | 0.191191i | ||||
\(207\) | 170.942i | 0.825808i | ||||||||
\(208\) | 83.5666 | + | 144.742i | 0.401763 | + | 0.695873i | ||||
\(209\) | −102.354 | −0.489731 | ||||||||
\(210\) | 8.09103 | − | 2.16799i | 0.0385287 | − | 0.0103237i | ||||
\(211\) | −36.6481 | + | 63.4763i | −0.173687 | + | 0.300836i | −0.939706 | − | 0.341983i | \(-0.888902\pi\) |
0.766019 | + | 0.642818i | \(0.222235\pi\) | |||||||
\(212\) | 47.7224 | − | 27.5526i | 0.225106 | − | 0.129965i | ||||
\(213\) | 23.9474 | + | 23.9474i | 0.112429 | + | 0.112429i | ||||
\(214\) | −12.7724 | + | 47.6673i | −0.0596842 | + | 0.222744i | ||||
\(215\) | −186.962 | − | 50.0962i | −0.869588 | − | 0.233006i | ||||
\(216\) | 36.1821 | − | 36.1821i | 0.167510 | − | 0.167510i | ||||
\(217\) | −50.0526 | − | 86.6936i | −0.230657 | − | 0.399510i | ||||
\(218\) | 32.9545 | + | 19.0263i | 0.151167 | + | 0.0872765i | ||||
\(219\) | 5.16472 | + | 19.2750i | 0.0235832 | + | 0.0880137i | ||||
\(220\) | − | 225.387i | − | 1.02449i | ||||||
\(221\) | − | 240.033i | − | 1.08612i | ||||||
\(222\) | −11.8808 | −0.0535171 | ||||||||
\(223\) | −367.533 | + | 98.4801i | −1.64813 | + | 0.441615i | −0.959088 | − | 0.283108i | \(-0.908634\pi\) |
−0.689040 | + | 0.724723i | \(0.741968\pi\) | |||||||
\(224\) | −67.2487 | + | 116.478i | −0.300217 | + | 0.519992i | ||||
\(225\) | 81.5429 | − | 47.0788i | 0.362413 | − | 0.209239i | ||||
\(226\) | −52.7006 | − | 52.7006i | −0.233189 | − | 0.233189i | ||||
\(227\) | −108.280 | + | 404.107i | −0.477005 | + | 1.78021i | 0.136635 | + | 0.990621i | \(0.456371\pi\) |
−0.613640 | + | 0.789586i | \(0.710296\pi\) | |||||||
\(228\) | 16.6603 | + | 4.46410i | 0.0730713 | + | 0.0195794i | ||||
\(229\) | −72.2679 | + | 72.2679i | −0.315581 | + | 0.315581i | −0.847067 | − | 0.531486i | \(-0.821634\pi\) |
0.531486 | + | 0.847067i | \(0.321634\pi\) | |||||||
\(230\) | 19.4711 | + | 33.7250i | 0.0846571 | + | 0.146630i | ||||
\(231\) | −60.9948 | − | 35.2154i | −0.264047 | − | 0.152448i | ||||
\(232\) | 9.72947 | + | 36.3109i | 0.0419374 | + | 0.156512i | ||||
\(233\) | − | 256.592i | − | 1.10125i | −0.834751 | − | 0.550627i | \(-0.814389\pi\) | ||
0.834751 | − | 0.550627i | \(-0.185611\pi\) | |||||||
\(234\) | 55.0167 | − | 14.7417i | 0.235114 | − | 0.0629986i | ||||
\(235\) | 180.799 | 0.769356 | ||||||||
\(236\) | 346.937 | − | 92.9615i | 1.47007 | − | 0.393905i | ||||
\(237\) | 22.9667 | − | 39.7795i | 0.0969058 | − | 0.167846i | ||||
\(238\) | 49.1192 | − | 28.3590i | 0.206383 | − | 0.119155i | ||||
\(239\) | 39.3449 | + | 39.3449i | 0.164623 | + | 0.164623i | 0.784611 | − | 0.619988i | \(-0.212863\pi\) |
−0.619988 | + | 0.784611i | \(0.712863\pi\) | |||||||
\(240\) | −9.07368 | + | 33.8634i | −0.0378070 | + | 0.141098i | ||||
\(241\) | 233.351 | + | 62.5263i | 0.968262 | + | 0.259445i | 0.708094 | − | 0.706118i | \(-0.249555\pi\) |
0.260168 | + | 0.965563i | \(0.416222\pi\) | |||||||
\(242\) | 51.9212 | − | 51.9212i | 0.214550 | − | 0.214550i | ||||
\(243\) | 81.9878 | + | 142.007i | 0.337398 | + | 0.584391i | ||||
\(244\) | 82.8275 | + | 47.8205i | 0.339457 | + | 0.195986i | ||||
\(245\) | 13.2898 | + | 49.5981i | 0.0542439 | + | 0.202441i | ||||
\(246\) | 17.6218i | 0.0716332i | ||||||||
\(247\) | 58.0333 | + | 58.0333i | 0.234953 | + | 0.234953i | ||||
\(248\) | −67.5167 | −0.272245 | ||||||||
\(249\) | −24.4833 | + | 6.56029i | −0.0983267 | + | 0.0263466i | ||||
\(250\) | 34.8275 | − | 60.3231i | 0.139310 | − | 0.241292i | ||||
\(251\) | −221.375 | + | 127.811i | −0.881972 | + | 0.509207i | −0.871308 | − | 0.490736i | \(-0.836728\pi\) |
−0.0106638 | + | 0.999943i | \(0.503394\pi\) | |||||||
\(252\) | −132.550 | − | 132.550i | −0.525992 | − | 0.525992i | ||||
\(253\) | 84.7461 | − | 316.277i | 0.334965 | − | 1.25011i | ||||
\(254\) | 14.2417 | + | 3.81604i | 0.0560696 | + | 0.0150238i | ||||
\(255\) | 35.6025 | − | 35.6025i | 0.139618 | − | 0.139618i | ||||
\(256\) | −50.6051 | − | 87.6506i | −0.197676 | − | 0.342385i | ||||
\(257\) | 85.7731 | + | 49.5211i | 0.333747 | + | 0.192689i | 0.657504 | − | 0.753451i | \(-0.271612\pi\) |
−0.323756 | + | 0.946141i | \(0.604946\pi\) | |||||||
\(258\) | 5.09619 | + | 19.0192i | 0.0197527 | + | 0.0737180i | ||||
\(259\) | 186.056i | 0.718364i | ||||||||
\(260\) | −127.792 | + | 127.792i | −0.491506 | + | 0.491506i | ||||
\(261\) | −79.4974 | −0.304588 | ||||||||
\(262\) | 1.49038 | − | 0.399346i | 0.00568848 | − | 0.00152422i | ||||
\(263\) | 127.669 | − | 221.130i | 0.485434 | − | 0.840797i | −0.514426 | − | 0.857535i | \(-0.671995\pi\) |
0.999860 | + | 0.0167383i | \(0.00532822\pi\) | |||||||
\(264\) | −41.1384 | + | 23.7513i | −0.155827 | + | 0.0899670i | ||||
\(265\) | 38.8916 | + | 38.8916i | 0.146761 | + | 0.146761i | ||||
\(266\) | −5.01924 | + | 18.7321i | −0.0188693 | + | 0.0704212i | ||||
\(267\) | −63.3013 | − | 16.9615i | −0.237083 | − | 0.0635263i | ||||
\(268\) | −106.622 | + | 106.622i | −0.397842 | + | 0.397842i | ||||
\(269\) | 46.3538 | + | 80.2872i | 0.172319 | + | 0.298465i | 0.939230 | − | 0.343288i | \(-0.111541\pi\) |
−0.766911 | + | 0.641753i | \(0.778207\pi\) | |||||||
\(270\) | 21.3487 | + | 12.3257i | 0.0790692 | + | 0.0456506i | ||||
\(271\) | −113.133 | − | 422.219i | −0.417466 | − | 1.55800i | −0.779845 | − | 0.625973i | \(-0.784702\pi\) |
0.362379 | − | 0.932031i | \(-0.381965\pi\) | |||||||
\(272\) | 237.382i | 0.872728i | ||||||||
\(273\) | 14.6166 | + | 54.5500i | 0.0535407 | + | 0.199817i | ||||
\(274\) | −50.6987 | −0.185032 | ||||||||
\(275\) | −174.210 | + | 46.6795i | −0.633492 | + | 0.169744i | ||||
\(276\) | −27.5885 | + | 47.7846i | −0.0999582 | + | 0.173133i | ||||
\(277\) | −302.110 | + | 174.423i | −1.09065 | + | 0.629686i | −0.933749 | − | 0.357929i | \(-0.883483\pi\) |
−0.156899 | + | 0.987615i | \(0.550150\pi\) | |||||||
\(278\) | 11.8705 | + | 11.8705i | 0.0426996 | + | 0.0426996i | ||||
\(279\) | 36.9545 | − | 137.916i | 0.132453 | − | 0.494323i | ||||
\(280\) | −85.4589 | − | 22.8987i | −0.305211 | − | 0.0817809i | ||||
\(281\) | 91.9737 | − | 91.9737i | 0.327309 | − | 0.327309i | −0.524254 | − | 0.851562i | \(-0.675656\pi\) |
0.851562 | + | 0.524254i | \(0.175656\pi\) | |||||||
\(282\) | −9.19615 | − | 15.9282i | −0.0326105 | − | 0.0564830i | ||||
\(283\) | −30.8038 | − | 17.7846i | −0.108848 | − | 0.0628431i | 0.444588 | − | 0.895735i | \(-0.353350\pi\) |
−0.553435 | + | 0.832892i | \(0.686683\pi\) | |||||||
\(284\) | −44.6865 | − | 166.772i | −0.157347 | − | 0.587227i | ||||
\(285\) | 17.2154i | 0.0604049i | ||||||||
\(286\) | −109.100 | −0.381468 | ||||||||
\(287\) | 275.962 | 0.961538 | ||||||||
\(288\) | −185.299 | + | 49.6506i | −0.643398 | + | 0.172398i | ||||
\(289\) | 25.9615 | − | 44.9667i | 0.0898323 | − | 0.155594i | ||||
\(290\) | −15.6840 | + | 9.05514i | −0.0540826 | + | 0.0312246i | ||||
\(291\) | −28.3782 | − | 28.3782i | −0.0975197 | − | 0.0975197i | ||||
\(292\) | 26.3301 | − | 98.2654i | 0.0901717 | − | 0.336525i | ||||
\(293\) | 386.758 | + | 103.631i | 1.31999 | + | 0.353691i | 0.848975 | − | 0.528433i | \(-0.177220\pi\) |
0.471017 | + | 0.882124i | \(0.343887\pi\) | |||||||
\(294\) | 3.69358 | − | 3.69358i | 0.0125632 | − | 0.0125632i | ||||
\(295\) | 179.249 | + | 310.468i | 0.607623 | + | 1.05243i | ||||
\(296\) | 108.675 | + | 62.7436i | 0.367145 | + | 0.211971i | ||||
\(297\) | −53.6462 | − | 200.210i | −0.180627 | − | 0.674109i | ||||
\(298\) | − | 66.1807i | − | 0.222083i | ||||||
\(299\) | −227.375 | + | 131.275i | −0.760451 | + | 0.439047i | ||||
\(300\) | 30.3923 | 0.101308 | ||||||||
\(301\) | 297.846 | − | 79.8076i | 0.989522 | − | 0.265142i | ||||
\(302\) | −46.8494 | + | 81.1455i | −0.155130 | + | 0.268694i | ||||
\(303\) | 101.433 | − | 58.5622i | 0.334761 | − | 0.193275i | ||||
\(304\) | −57.3923 | − | 57.3923i | −0.188790 | − | 0.188790i | ||||
\(305\) | −24.7070 | + | 92.2077i | −0.0810065 | + | 0.302320i | ||||
\(306\) | 78.1410 | + | 20.9378i | 0.255363 | + | 0.0684243i | ||||
\(307\) | 260.219 | − | 260.219i | 0.847619 | − | 0.847619i | −0.142216 | − | 0.989836i | \(-0.545423\pi\) |
0.989836 | + | 0.142216i | \(0.0454228\pi\) | |||||||
\(308\) | 179.531 | + | 310.956i | 0.582892 | + | 1.00960i | ||||
\(309\) | 49.9385 | + | 28.8320i | 0.161613 | + | 0.0933075i | ||||
\(310\) | −8.41858 | − | 31.4186i | −0.0271567 | − | 0.101350i | ||||
\(311\) | 71.4782i | 0.229833i | 0.993375 | + | 0.114917i | \(0.0366601\pi\) | ||||
−0.993375 | + | 0.114917i | \(0.963340\pi\) | |||||||
\(312\) | 36.7917 | + | 9.85829i | 0.117922 | + | 0.0315971i | ||||
\(313\) | −394.315 | −1.25979 | −0.629897 | − | 0.776679i | \(-0.716903\pi\) | ||||
−0.629897 | + | 0.776679i | \(0.716903\pi\) | |||||||
\(314\) | 48.8731 | − | 13.0955i | 0.155647 | − | 0.0417054i | ||||
\(315\) | 93.5500 | − | 162.033i | 0.296984 | − | 0.514391i | ||||
\(316\) | −202.799 | + | 117.086i | −0.641768 | + | 0.370525i | ||||
\(317\) | −206.054 | − | 206.054i | −0.650014 | − | 0.650014i | 0.302982 | − | 0.952996i | \(-0.402018\pi\) |
−0.952996 | + | 0.302982i | \(0.902018\pi\) | |||||||
\(318\) | 1.44813 | − | 5.40450i | 0.00455387 | − | 0.0169953i | ||||
\(319\) | 147.086 | + | 39.4115i | 0.461084 | + | 0.123547i | ||||
\(320\) | 104.552 | − | 104.552i | 0.326725 | − | 0.326725i | ||||
\(321\) | −34.8949 | − | 60.4397i | −0.108707 | − | 0.188286i | ||||
\(322\) | −53.7269 | − | 31.0192i | −0.166854 | − | 0.0963330i | ||||
\(323\) | 30.1699 | + | 112.595i | 0.0934052 | + | 0.348593i | ||||
\(324\) | − | 249.368i | − | 0.769654i | ||||||
\(325\) | 125.242 | + | 72.3083i | 0.385359 | + | 0.222487i | ||||
\(326\) | 65.5307 | 0.201015 | ||||||||
\(327\) | −51.9808 | + | 13.9282i | −0.158963 | + | 0.0425939i | ||||
\(328\) | 93.0622 | − | 161.188i | 0.283726 | − | 0.491428i | ||||
\(329\) | −249.440 | + | 144.014i | −0.758175 | + | 0.437733i | ||||
\(330\) | −16.1821 | − | 16.1821i | −0.0490366 | − | 0.0490366i | ||||
\(331\) | −119.397 | + | 445.597i | −0.360717 | + | 1.34622i | 0.512417 | + | 0.858737i | \(0.328750\pi\) |
−0.873135 | + | 0.487479i | \(0.837917\pi\) | |||||||
\(332\) | 124.818 | + | 33.4449i | 0.375958 | + | 0.100738i | ||||
\(333\) | −187.648 | + | 187.648i | −0.563508 | + | 0.563508i | ||||
\(334\) | 13.5936 | + | 23.5448i | 0.0406994 | + | 0.0704935i | ||||
\(335\) | −130.338 | − | 75.2506i | −0.389068 | − | 0.224629i | ||||
\(336\) | −14.4552 | − | 53.9474i | −0.0430213 | − | 0.160558i | ||||
\(337\) | − | 144.779i | − | 0.429613i | −0.976657 | − | 0.214806i | \(-0.931088\pi\) | ||
0.976657 | − | 0.214806i | \(-0.0689120\pi\) | |||||||
\(338\) | 61.8583 | + | 61.8583i | 0.183013 | + | 0.183013i | ||||
\(339\) | 105.401 | 0.310918 | ||||||||
\(340\) | −247.940 | + | 66.4352i | −0.729234 | + | 0.195398i | ||||
\(341\) | −136.746 | + | 236.851i | −0.401015 | + | 0.694578i | ||||
\(342\) | −23.9545 | + | 13.8301i | −0.0700423 | + | 0.0404390i | ||||
\(343\) | −263.454 | − | 263.454i | −0.768087 | − | 0.768087i | ||||
\(344\) | 53.8269 | − | 200.885i | 0.156473 | − | 0.583967i | ||||
\(345\) | −53.1962 | − | 14.2539i | −0.154192 | − | 0.0413156i | ||||
\(346\) | −50.2384 | + | 50.2384i | −0.145198 | + | 0.145198i | ||||
\(347\) | −243.590 | − | 421.911i | −0.701989 | − | 1.21588i | −0.967767 | − | 0.251847i | \(-0.918962\pi\) |
0.265778 | − | 0.964034i | \(-0.414371\pi\) | |||||||
\(348\) | −22.2224 | − | 12.8301i | −0.0638576 | − | 0.0368682i | ||||
\(349\) | −3.04036 | − | 11.3468i | −0.00871164 | − | 0.0325123i | 0.961433 | − | 0.275039i | \(-0.0886906\pi\) |
−0.970145 | + | 0.242526i | \(0.922024\pi\) | |||||||
\(350\) | 34.1718i | 0.0976336i | ||||||||
\(351\) | −83.1000 | + | 143.933i | −0.236752 | + | 0.410067i | ||||
\(352\) | 367.454 | 1.04390 | ||||||||
\(353\) | −276.169 | + | 73.9993i | −0.782349 | + | 0.209630i | −0.627820 | − | 0.778358i | \(-0.716053\pi\) |
−0.154529 | + | 0.987988i | \(0.549386\pi\) | |||||||
\(354\) | 18.2346 | − | 31.5833i | 0.0515102 | − | 0.0892184i | ||||
\(355\) | 149.242 | − | 86.1647i | 0.420399 | − | 0.242718i | ||||
\(356\) | 236.244 | + | 236.244i | 0.663605 | + | 0.663605i | ||||
\(357\) | −20.7602 | + | 77.4782i | −0.0581519 | + | 0.217026i | ||||
\(358\) | −0.521815 | − | 0.139820i | −0.00145758 | − | 0.000390559i | ||||
\(359\) | 92.0770 | − | 92.0770i | 0.256482 | − | 0.256482i | −0.567140 | − | 0.823622i | \(-0.691950\pi\) |
0.823622 | + | 0.567140i | \(0.191950\pi\) | |||||||
\(360\) | −63.0955 | − | 109.285i | −0.175265 | − | 0.303568i | ||||
\(361\) | 278.119 | + | 160.572i | 0.770411 | + | 0.444797i | ||||
\(362\) | −3.09223 | − | 11.5404i | −0.00854207 | − | 0.0318795i | ||||
\(363\) | 103.842i | 0.286067i | ||||||||
\(364\) | 74.5167 | − | 278.100i | 0.204716 | − | 0.764011i | ||||
\(365\) | 101.540 | 0.278191 | ||||||||
\(366\) | 9.38011 | − | 2.51339i | 0.0256287 | − | 0.00686719i | ||||
\(367\) | −6.27499 | + | 10.8686i | −0.0170981 | + | 0.0296147i | −0.874448 | − | 0.485120i | \(-0.838776\pi\) |
0.857350 | + | 0.514734i | \(0.172109\pi\) | |||||||
\(368\) | 224.863 | − | 129.825i | 0.611042 | − | 0.352785i | ||||
\(369\) | 278.322 | + | 278.322i | 0.754261 | + | 0.754261i | ||||
\(370\) | −15.6469 | + | 58.3949i | −0.0422888 | + | 0.157824i | ||||
\(371\) | −84.6359 | − | 22.6781i | −0.228129 | − | 0.0611270i | ||||
\(372\) | 32.5885 | − | 32.5885i | 0.0876034 | − | 0.0876034i | ||||
\(373\) | 155.638 | + | 269.574i | 0.417261 | + | 0.722718i | 0.995663 | − | 0.0930345i | \(-0.0296567\pi\) |
−0.578402 | + | 0.815752i | \(0.696323\pi\) | |||||||
\(374\) | −134.196 | − | 77.4782i | −0.358813 | − | 0.207161i | ||||
\(375\) | 25.4955 | + | 95.1506i | 0.0679881 | + | 0.253735i | ||||
\(376\) | 194.263i | 0.516656i | ||||||||
\(377\) | −61.0500 | − | 105.742i | −0.161936 | − | 0.280482i | ||||
\(378\) | −39.2717 | −0.103893 | ||||||||
\(379\) | 379.858 | − | 101.783i | 1.00226 | − | 0.268556i | 0.279871 | − | 0.960038i | \(-0.409708\pi\) |
0.722394 | + | 0.691482i | \(0.243042\pi\) | |||||||
\(380\) | 43.8827 | − | 76.0070i | 0.115481 | − | 0.200019i | ||||
\(381\) | −18.0577 | + | 10.4256i | −0.0473956 | + | 0.0273638i | ||||
\(382\) | 107.613 | + | 107.613i | 0.281709 | + | 0.281709i | ||||
\(383\) | 191.061 | − | 713.051i | 0.498855 | − | 1.86175i | −0.00841386 | − | 0.999965i | \(-0.502678\pi\) |
0.507269 | − | 0.861788i | \(-0.330655\pi\) | |||||||
\(384\) | −78.6340 | − | 21.0699i | −0.204776 | − | 0.0548696i | ||||
\(385\) | −253.415 | + | 253.415i | −0.658222 | + | 0.658222i | ||||
\(386\) | −85.5507 | − | 148.178i | −0.221634 | − | 0.383881i | ||||
\(387\) | 380.885 | + | 219.904i | 0.984198 | + | 0.568227i | ||||
\(388\) | 52.9545 | + | 197.629i | 0.136481 | + | 0.509353i | ||||
\(389\) | − | 344.478i | − | 0.885548i | −0.896633 | − | 0.442774i | \(-0.853994\pi\) | ||
0.896633 | − | 0.442774i | \(-0.146006\pi\) | |||||||
\(390\) | 18.3501i | 0.0470514i | ||||||||
\(391\) | −372.904 | −0.953718 | ||||||||
\(392\) | −53.2917 | + | 14.2795i | −0.135948 | + | 0.0364272i | ||||
\(393\) | −1.09103 | + | 1.88973i | −0.00277617 | + | 0.00480847i | ||||
\(394\) | −39.5007 | + | 22.8057i | −0.100256 | + | 0.0578826i | ||||
\(395\) | −165.272 | − | 165.272i | −0.418409 | − | 0.418409i | ||||
\(396\) | −132.550 | + | 494.683i | −0.334722 | + | 1.24920i | ||||
\(397\) | −678.422 | − | 181.783i | −1.70887 | − | 0.457891i | −0.733725 | − | 0.679447i | \(-0.762220\pi\) |
−0.975148 | + | 0.221556i | \(0.928886\pi\) | |||||||
\(398\) | −73.7321 | + | 73.7321i | −0.185256 | + | 0.185256i | ||||
\(399\) | −13.7128 | − | 23.7513i | −0.0343680 | − | 0.0595270i | ||||
\(400\) | −123.858 | − | 71.5096i | −0.309646 | − | 0.178774i | ||||
\(401\) | 146.833 | + | 547.989i | 0.366168 | + | 1.36656i | 0.865831 | + | 0.500336i | \(0.166790\pi\) |
−0.499663 | + | 0.866220i | \(0.666543\pi\) | |||||||
\(402\) | 15.3102i | 0.0380851i | ||||||||
\(403\) | 211.825 | − | 56.7583i | 0.525620 | − | 0.140840i | ||||
\(404\) | −597.109 | −1.47799 | ||||||||
\(405\) | 240.416 | − | 64.4193i | 0.593620 | − | 0.159060i | ||||
\(406\) | 14.4256 | − | 24.9859i | 0.0355311 | − | 0.0615417i | ||||
\(407\) | 440.214 | − | 254.158i | 1.08161 | − | 0.624466i | ||||
\(408\) | 38.2539 | + | 38.2539i | 0.0937595 | + | 0.0937595i | ||||
\(409\) | 26.3212 | − | 98.2321i | 0.0643550 | − | 0.240176i | −0.926254 | − | 0.376899i | \(-0.876990\pi\) |
0.990609 | + | 0.136723i | \(0.0436570\pi\) | |||||||
\(410\) | 86.6122 | + | 23.2077i | 0.211249 | + | 0.0566040i | ||||
\(411\) | 50.6987 | − | 50.6987i | 0.123355 | − | 0.123355i | ||||
\(412\) | −146.988 | − | 254.590i | −0.356767 | − | 0.617938i | ||||
\(413\) | −494.603 | − | 285.559i | −1.19758 | − | 0.691426i | ||||
\(414\) | −22.9019 | − | 85.4711i | −0.0553187 | − | 0.206452i | ||||
\(415\) | 128.977i | 0.310788i | ||||||||
\(416\) | −208.342 | − | 208.342i | −0.500821 | − | 0.500821i | ||||
\(417\) | −23.7410 | −0.0569328 | ||||||||
\(418\) | 51.1769 | − | 13.7128i | 0.122433 | − | 0.0328058i | ||||
\(419\) | −322.279 | + | 558.203i | −0.769162 | + | 1.33223i | 0.168856 | + | 0.985641i | \(0.445993\pi\) |
−0.938018 | + | 0.346587i | \(0.887341\pi\) | |||||||
\(420\) | 52.3013 | − | 30.1962i | 0.124527 | − | 0.0718956i | ||||
\(421\) | 346.619 | + | 346.619i | 0.823322 | + | 0.823322i | 0.986583 | − | 0.163261i | \(-0.0522013\pi\) |
−0.163261 | + | 0.986583i | \(0.552201\pi\) | |||||||
\(422\) | 9.81982 | − | 36.6481i | 0.0232697 | − | 0.0868437i | ||||
\(423\) | −396.820 | − | 106.328i | −0.938108 | − | 0.251365i | ||||
\(424\) | −41.7879 | + | 41.7879i | −0.0985563 | + | 0.0985563i | ||||
\(425\) | 102.701 | + | 177.883i | 0.241649 | + | 0.418547i | ||||
\(426\) | −15.1821 | − | 8.76537i | −0.0356387 | − | 0.0205760i | ||||
\(427\) | −39.3604 | − | 146.895i | −0.0921788 | − | 0.344016i | ||||
\(428\) | 355.794i | 0.831293i | ||||||||
\(429\) | 109.100 | − | 109.100i | 0.254312 | − | 0.254312i | ||||
\(430\) | 100.192 | 0.233006 | ||||||||
\(431\) | 101.699 | − | 27.2501i | 0.235960 | − | 0.0632253i | −0.138901 | − | 0.990306i | \(-0.544357\pi\) |
0.374861 | + | 0.927081i | \(0.377690\pi\) | |||||||
\(432\) | 82.1821 | − | 142.344i | 0.190236 | − | 0.329499i | ||||
\(433\) | 596.892 | − | 344.616i | 1.37850 | − | 0.795880i | 0.386525 | − | 0.922279i | \(-0.373675\pi\) |
0.991979 | + | 0.126399i | \(0.0403421\pi\) | |||||||
\(434\) | 36.6410 | + | 36.6410i | 0.0844263 | + | 0.0844263i | ||||
\(435\) | 6.62882 | − | 24.7391i | 0.0152387 | − | 0.0568715i | ||||
\(436\) | 265.002 | + | 71.0070i | 0.607802 | + | 0.162860i | ||||
\(437\) | 90.1577 | − | 90.1577i | 0.206310 | − | 0.206310i | ||||
\(438\) | −5.16472 | − | 8.94555i | −0.0117916 | − | 0.0204236i | ||||
\(439\) | 78.0577 | + | 45.0666i | 0.177808 | + | 0.102657i | 0.586262 | − | 0.810121i | \(-0.300599\pi\) |
−0.408454 | + | 0.912779i | \(0.633932\pi\) | |||||||
\(440\) | 62.5603 | + | 233.478i | 0.142182 | + | 0.530632i | ||||
\(441\) | − | 116.674i | − | 0.264568i | ||||||
\(442\) | 32.1584 | + | 120.017i | 0.0727565 | + | 0.271531i | ||||
\(443\) | 642.277 | 1.44983 | 0.724917 | − | 0.688836i | \(-0.241878\pi\) | ||||
0.724917 | + | 0.688836i | \(0.241878\pi\) | |||||||
\(444\) | −82.7391 | + | 22.1699i | −0.186349 | + | 0.0499321i | ||||
\(445\) | −166.734 | + | 288.792i | −0.374683 | + | 0.648970i | ||||
\(446\) | 170.572 | − | 98.4801i | 0.382450 | − | 0.220807i | ||||
\(447\) | 66.1807 | + | 66.1807i | 0.148055 | + | 0.148055i | ||||
\(448\) | −60.9653 | + | 227.526i | −0.136083 | + | 0.507870i | ||||
\(449\) | 22.6007 | + | 6.05583i | 0.0503355 | + | 0.0134874i | 0.283899 | − | 0.958854i | \(-0.408372\pi\) |
−0.233563 | + | 0.972342i | \(0.575039\pi\) | |||||||
\(450\) | −34.4641 | + | 34.4641i | −0.0765869 | + | 0.0765869i | ||||
\(451\) | −376.970 | − | 652.932i | −0.835855 | − | 1.44774i | ||||
\(452\) | −465.353 | − | 268.672i | −1.02954 | − | 0.594407i | ||||
\(453\) | −34.2961 | − | 127.995i | −0.0757089 | − | 0.282549i | ||||
\(454\) | − | 216.560i | − | 0.477005i | ||||||
\(455\) | 287.367 | 0.631575 | ||||||||
\(456\) | −18.4974 | −0.0405645 | ||||||||
\(457\) | 228.698 | − | 61.2795i | 0.500433 | − | 0.134091i | 0.000232237 | − | 1.00000i | \(-0.499926\pi\) |
0.500201 | + | 0.865909i | \(0.333259\pi\) | |||||||
\(458\) | 26.4519 | − | 45.8160i | 0.0577553 | − | 0.100035i | ||||
\(459\) | −204.431 | + | 118.028i | −0.445383 | + | 0.257142i | ||||
\(460\) | 198.531 | + | 198.531i | 0.431589 | + | 0.431589i | ||||
\(461\) | −12.6032 | + | 47.0359i | −0.0273389 | + | 0.102030i | −0.978247 | − | 0.207443i | \(-0.933486\pi\) |
0.950908 | + | 0.309473i | \(0.100153\pi\) | |||||||
\(462\) | 35.2154 | + | 9.43594i | 0.0762238 | + | 0.0204241i | ||||
\(463\) | −521.191 | + | 521.191i | −1.12568 | + | 1.12568i | −0.134811 | + | 0.990871i | \(0.543043\pi\) |
−0.990871 | + | 0.134811i | \(0.956957\pi\) | |||||||
\(464\) | 60.3756 | + | 104.574i | 0.130120 | + | 0.225374i | ||||
\(465\) | 39.8372 | + | 23.0000i | 0.0856713 | + | 0.0494624i | ||||
\(466\) | 34.3768 | + | 128.296i | 0.0737700 | + | 0.275314i | ||||
\(467\) | 141.415i | 0.302817i | 0.988471 | + | 0.151408i | \(0.0483808\pi\) | ||||
−0.988471 | + | 0.151408i | \(0.951619\pi\) | |||||||
\(468\) | 355.633 | − | 205.325i | 0.759900 | − | 0.438729i | ||||
\(469\) | 239.762 | 0.511219 | ||||||||
\(470\) | −90.3993 | + | 24.2224i | −0.192339 | + | 0.0515371i | ||||
\(471\) | −35.7776 | + | 61.9686i | −0.0759609 | + | 0.131568i | ||||
\(472\) | −333.588 | + | 192.597i | −0.706755 | + | 0.408045i | ||||
\(473\) | −595.692 | − | 595.692i | −1.25939 | − | 1.25939i | ||||
\(474\) | −6.15390 | + | 22.9667i | −0.0129829 | + | 0.0484529i | ||||
\(475\) | −67.8372 | − | 18.1769i | −0.142815 | − | 0.0382672i | ||||
\(476\) | 289.153 | − | 289.153i | 0.607463 | − | 0.607463i | ||||
\(477\) | −62.4878 | − | 108.232i | −0.131002 | − | 0.226902i | ||||
\(478\) | −24.9437 | − | 14.4012i | −0.0521834 | − | 0.0301281i | ||||
\(479\) | 193.783 | + | 723.207i | 0.404557 | + | 1.50983i | 0.804872 | + | 0.593449i | \(0.202234\pi\) |
−0.400315 | + | 0.916378i | \(0.631099\pi\) | |||||||
\(480\) | − | 61.8038i | − | 0.128758i | ||||||
\(481\) | −393.700 | − | 105.492i | −0.818503 | − | 0.219317i | ||||
\(482\) | −125.053 | −0.259445 | ||||||||
\(483\) | 84.7461 | − | 22.7077i | 0.175458 | − | 0.0470138i | ||||
\(484\) | 264.698 | − | 458.470i | 0.546897 | − | 0.947253i | ||||
\(485\) | −176.855 | + | 102.107i | −0.364648 | + | 0.210530i | ||||
\(486\) | −60.0192 | − | 60.0192i | −0.123496 | − | 0.123496i | ||||
\(487\) | −62.9371 | + | 234.885i | −0.129234 | + | 0.482309i | −0.999955 | − | 0.00946847i | \(-0.996986\pi\) |
0.870721 | + | 0.491778i | \(0.163653\pi\) | |||||||
\(488\) | −99.0744 | − | 26.5469i | −0.203021 | − | 0.0543994i | ||||
\(489\) | −65.5307 | + | 65.5307i | −0.134010 | + | 0.134010i | ||||
\(490\) | −13.2898 | − | 23.0185i | −0.0271220 | − | 0.0469766i | ||||
\(491\) | −73.3191 | − | 42.3308i | −0.149326 | − | 0.0862135i | 0.423475 | − | 0.905908i | \(-0.360810\pi\) |
−0.572801 | + | 0.819694i | \(0.694143\pi\) | |||||||
\(492\) | 32.8827 | + | 122.720i | 0.0668347 | + | 0.249431i | ||||
\(493\) | − | 173.420i | − | 0.351766i | ||||||
\(494\) | −36.7917 | − | 21.2417i | −0.0744770 | − | 0.0429993i | ||||
\(495\) | −511.167 | −1.03266 | ||||||||
\(496\) | −209.485 | + | 56.1314i | −0.422349 | + | 0.113168i | ||||
\(497\) | −137.268 | + | 237.755i | −0.276193 | + | 0.478380i | ||||
\(498\) | 11.3628 | − | 6.56029i | 0.0228168 | − | 0.0131733i | ||||
\(499\) | −134.397 | − | 134.397i | −0.269334 | − | 0.269334i | 0.559498 | − | 0.828832i | \(-0.310994\pi\) |
−0.828832 | + | 0.559498i | \(0.810994\pi\) | |||||||
\(500\) | 129.978 | − | 485.085i | 0.259956 | − | 0.970170i | ||||
\(501\) | −37.1384 | − | 9.95121i | −0.0741286 | − | 0.0198627i | ||||
\(502\) | 93.5641 | − | 93.5641i | 0.186383 | − | 0.186383i | ||||
\(503\) | 398.200 | + | 689.703i | 0.791650 | + | 1.37118i | 0.924945 | + | 0.380102i | \(0.124111\pi\) |
−0.133295 | + | 0.991076i | \(0.542556\pi\) | |||||||
\(504\) | 174.100 | + | 100.517i | 0.345436 | + | 0.199438i | ||||
\(505\) | −154.251 | − | 575.674i | −0.305448 | − | 1.13995i | ||||
\(506\) | 169.492i | 0.334965i | ||||||||
\(507\) | −123.717 | −0.244017 | ||||||||
\(508\) | 106.301 | 0.209254 | ||||||||
\(509\) | 79.6051 | − | 21.3301i | 0.156395 | − | 0.0419059i | −0.179772 | − | 0.983708i | \(-0.557536\pi\) |
0.336167 | + | 0.941802i | \(0.390869\pi\) | |||||||
\(510\) | −13.0314 | + | 22.5711i | −0.0255518 | + | 0.0442571i | ||||
\(511\) | −140.090 | + | 80.8808i | −0.274148 | + | 0.158279i | ||||
\(512\) | 351.581 | + | 351.581i | 0.686682 | + | 0.686682i | ||||
\(513\) | 20.8897 | − | 77.9615i | 0.0407207 | − | 0.151972i | ||||
\(514\) | −49.5211 | − | 13.2691i | −0.0963446 | − | 0.0258155i | ||||
\(515\) | 207.480 | − | 207.480i | 0.402873 | − | 0.402873i | ||||
\(516\) | 70.9808 | + | 122.942i | 0.137560 | + | 0.238260i | ||||
\(517\) | 681.482 | + | 393.454i | 1.31815 | + | 0.761032i | ||||
\(518\) | −24.9268 | − | 93.0282i | −0.0481213 | − | 0.179591i | ||||
\(519\) | − | 100.477i | − | 0.193597i | ||||||
\(520\) | 96.9083 | − | 167.850i | 0.186362 | − | 0.322789i | ||||
\(521\) | 677.011 | 1.29945 | 0.649723 | − | 0.760171i | \(-0.274885\pi\) | ||||
0.649723 | + | 0.760171i | \(0.274885\pi\) | |||||||
\(522\) | 39.7487 | − | 10.6506i | 0.0761470 | − | 0.0204035i | ||||
\(523\) | 91.8269 | − | 159.049i | 0.175577 | − | 0.304109i | −0.764784 | − | 0.644287i | \(-0.777154\pi\) |
0.940361 | + | 0.340179i | \(0.110488\pi\) | |||||||
\(524\) | 9.63397 | − | 5.56218i | 0.0183854 | − | 0.0106148i | ||||
\(525\) | −34.1718 | − | 34.1718i | −0.0650891 | − | 0.0650891i | ||||
\(526\) | −34.2089 | + | 127.669i | −0.0650358 | + | 0.242717i | ||||
\(527\) | 300.858 | + | 80.6147i | 0.570889 | + | 0.152969i | ||||
\(528\) | −107.895 | + | 107.895i | −0.204346 | + | 0.204346i | ||||
\(529\) | −60.5577 | − | 104.889i | −0.114476 | − | 0.198278i | ||||
\(530\) | −24.6563 | − | 14.2353i | −0.0465213 | − | 0.0268591i | ||||
\(531\) | −210.832 | − | 786.836i | −0.397047 | − | 1.48180i | ||||
\(532\) | 139.818i | 0.262816i | ||||||||
\(533\) | −156.467 | + | 583.942i | −0.293558 | + | 1.09558i | ||||
\(534\) | 33.9230 | 0.0635263 | ||||||||
\(535\) | −343.021 | + | 91.9122i | −0.641161 | + | 0.171799i | ||||
\(536\) | 80.8545 | − | 140.044i | 0.150848 | − | 0.261276i | ||||
\(537\) | 0.661635 | − | 0.381995i | 0.00123210 | − | 0.000711351i | ||||
\(538\) | −33.9334 | − | 33.9334i | −0.0630732 | − | 0.0630732i | ||||
\(539\) | −57.8423 | + | 215.870i | −0.107314 | + | 0.400502i | ||||
\(540\) | 171.674 | + | 46.0000i | 0.317915 | + | 0.0851852i | ||||
\(541\) | 317.629 | − | 317.629i | 0.587114 | − | 0.587114i | −0.349735 | − | 0.936849i | \(-0.613728\pi\) |
0.936849 | + | 0.349735i | \(0.113728\pi\) | |||||||
\(542\) | 113.133 | + | 195.953i | 0.208733 | + | 0.361536i | ||||
\(543\) | 14.6326 | + | 8.44813i | 0.0269477 | + | 0.0155583i | ||||
\(544\) | −108.311 | − | 404.222i | −0.199101 | − | 0.743055i | ||||
\(545\) | 273.832i | 0.502444i | ||||||||
\(546\) | −14.6166 | − | 25.3167i | −0.0267704 | − | 0.0463676i | ||||
\(547\) | −724.904 | −1.32524 | −0.662618 | − | 0.748958i | \(-0.730555\pi\) | ||||
−0.662618 | + | 0.748958i | \(0.730555\pi\) | |||||||
\(548\) | −353.071 | + | 94.6051i | −0.644290 | + | 0.172637i | ||||
\(549\) | 108.454 | − | 187.849i | 0.197549 | − | 0.342165i | ||||
\(550\) | 80.8513 | − | 46.6795i | 0.147002 | − | 0.0848718i | ||||
\(551\) | 41.9282 | + | 41.9282i | 0.0760947 | + | 0.0760947i | ||||
\(552\) | 15.3154 | − | 57.1577i | 0.0277452 | − | 0.103547i | ||||
\(553\) | 359.664 | + | 96.3717i | 0.650387 | + | 0.174271i | ||||
\(554\) | 127.687 | − | 127.687i | 0.230481 | − | 0.230481i | ||||
\(555\) | −42.7480 | − | 74.0417i | −0.0770235 | − | 0.133409i | ||||
\(556\) | 104.818 | + | 60.5167i | 0.188521 | + | 0.108843i | ||||
\(557\) | −31.0641 | − | 115.933i | −0.0557703 | − | 0.208138i | 0.932418 | − | 0.361381i | \(-0.117695\pi\) |
−0.988188 | + | 0.153244i | \(0.951028\pi\) | |||||||
\(558\) | 73.9090i | 0.132453i | ||||||||
\(559\) | 675.500i | 1.20841i | ||||||||
\(560\) | −284.192 | −0.507486 | ||||||||
\(561\) | 211.674 | − | 56.7180i | 0.377316 | − | 0.101102i | ||||
\(562\) | −33.6647 | + | 58.3090i | −0.0599016 | + | 0.103753i | ||||
\(563\) | −534.888 | + | 308.818i | −0.950068 | + | 0.548522i | −0.893102 | − | 0.449854i | \(-0.851476\pi\) |
−0.0569660 | + | 0.998376i | \(0.518143\pi\) | |||||||
\(564\) | −93.7654 | − | 93.7654i | −0.166251 | − | 0.166251i | ||||
\(565\) | 138.812 | − | 518.054i | 0.245685 | − | 0.916909i | ||||
\(566\) | 17.7846 | + | 4.76537i | 0.0314216 | + | 0.00841938i | ||||
\(567\) | −280.378 | + | 280.378i | −0.494494 | + | 0.494494i | ||||
\(568\) | 92.5814 | + | 160.356i | 0.162995 | + | 0.282316i | ||||
\(569\) | −381.315 | − | 220.153i | −0.670150 | − | 0.386911i | 0.125983 | − | 0.992032i | \(-0.459791\pi\) |
−0.796133 | + | 0.605121i | \(0.793125\pi\) | |||||||
\(570\) | −2.30642 | − | 8.60770i | −0.00404636 | − | 0.0151012i | ||||
\(571\) | − | 618.249i | − | 1.08275i | −0.840782 | − | 0.541374i | \(-0.817904\pi\) | ||
0.840782 | − | 0.541374i | \(-0.182096\pi\) | |||||||
\(572\) | −759.783 | + | 203.583i | −1.32829 | + | 0.355915i | ||||
\(573\) | −215.226 | −0.375612 | ||||||||
\(574\) | −137.981 | + | 36.9718i | −0.240385 | + | 0.0644109i | ||||
\(575\) | 112.335 | − | 194.569i | 0.195365 | − | 0.338381i | ||||
\(576\) | −290.959 | + | 167.985i | −0.505137 | + | 0.291641i | ||||
\(577\) | −266.237 | − | 266.237i | −0.461415 | − | 0.461415i | 0.437704 | − | 0.899119i | \(-0.355792\pi\) |
−0.899119 | + | 0.437704i | \(0.855792\pi\) | |||||||
\(578\) | −6.95637 | + | 25.9615i | −0.0120352 | + | 0.0449161i | ||||
\(579\) | 233.729 | + | 62.6274i | 0.403677 | + | 0.108165i | ||||
\(580\) | −92.3275 | + | 92.3275i | −0.159185 | + | 0.159185i | ||||
\(581\) | −102.736 | − | 177.944i | −0.176826 | − | 0.306271i | ||||
\(582\) | 17.9911 | + | 10.3872i | 0.0309125 | + | 0.0178473i | ||||
\(583\) | 61.9578 | + | 231.229i | 0.106274 | + | 0.396620i | ||||
\(584\) | 109.101i | 0.186817i | ||||||||
\(585\) | 289.825 | + | 289.825i | 0.495427 | + | 0.495427i | ||||
\(586\) | −207.263 | −0.353691 | ||||||||
\(587\) | 465.123 | − | 124.629i | 0.792373 | − | 0.212316i | 0.160140 | − | 0.987094i | \(-0.448805\pi\) |
0.632233 | + | 0.774779i | \(0.282139\pi\) | |||||||
\(588\) | 18.8301 | − | 32.6147i | 0.0320240 | − | 0.0554672i | ||||
\(589\) | −92.2295 | + | 53.2487i | −0.156587 | + | 0.0904053i | ||||
\(590\) | −131.219 | − | 131.219i | −0.222405 | − | 0.222405i | ||||
\(591\) | 16.6950 | − | 62.3064i | 0.0282487 | − | 0.105425i | ||||
\(592\) | 389.351 | + | 104.326i | 0.657688 | + | 0.176227i | ||||
\(593\) | 389.671 | − | 389.671i | 0.657118 | − | 0.657118i | −0.297579 | − | 0.954697i | \(-0.596179\pi\) |
0.954697 | + | 0.297579i | \(0.0961792\pi\) | |||||||
\(594\) | 53.6462 | + | 92.9179i | 0.0903134 | + | 0.156427i | ||||
\(595\) | 353.469 | + | 204.076i | 0.594066 | + | 0.342984i | ||||
\(596\) | −123.495 | − | 460.889i | −0.207206 | − | 0.773304i | ||||
\(597\) | − | 147.464i | − | 0.247009i | ||||||
\(598\) | 96.1000 | − | 96.1000i | 0.160702 | − | 0.160702i | ||||
\(599\) | 808.596 | 1.34991 | 0.674955 | − | 0.737859i | \(-0.264163\pi\) | ||||
0.674955 | + | 0.737859i | \(0.264163\pi\) | |||||||
\(600\) | −31.4833 | + | 8.43594i | −0.0524722 | + | 0.0140599i | ||||
\(601\) | 221.344 | − | 383.379i | 0.368293 | − | 0.637903i | −0.621006 | − | 0.783806i | \(-0.713276\pi\) |
0.989299 | + | 0.145904i | \(0.0466089\pi\) | |||||||
\(602\) | −138.231 | + | 79.8076i | −0.229619 | + | 0.132571i | ||||
\(603\) | 241.813 | + | 241.813i | 0.401016 | + | 0.401016i | ||||
\(604\) | −174.844 | + | 652.527i | −0.289477 | + | 1.08034i | ||||
\(605\) | 510.392 | + | 136.759i | 0.843623 | + | 0.226048i | ||||
\(606\) | −42.8705 | + | 42.8705i | −0.0707434 | + | 0.0707434i | ||||
\(607\) | 471.398 | + | 816.485i | 0.776603 | + | 1.34512i | 0.933889 | + | 0.357563i | \(0.116392\pi\) |
−0.157286 | + | 0.987553i | \(0.550275\pi\) | |||||||
\(608\) | 123.916 | + | 71.5429i | 0.203809 | + | 0.117669i | ||||
\(609\) | 10.5603 | + | 39.4115i | 0.0173404 | + | 0.0647152i | ||||
\(610\) | − | 49.4139i | − | 0.0810065i | ||||||
\(611\) | −163.308 | − | 609.475i | −0.267280 | − | 0.997504i | ||||
\(612\) | 583.252 | 0.953027 | ||||||||
\(613\) | −973.161 | + | 260.758i | −1.58754 | + | 0.425380i | −0.941249 | − | 0.337713i | \(-0.890347\pi\) |
−0.646289 | + | 0.763093i | \(0.723680\pi\) | |||||||
\(614\) | −95.2468 | + | 164.972i | −0.155125 | + | 0.268685i | ||||
\(615\) | −109.820 | + | 63.4045i | −0.178569 | + | 0.103097i | ||||
\(616\) | −272.287 | − | 272.287i | −0.442025 | − | 0.442025i | ||||
\(617\) | −71.9115 | + | 268.378i | −0.116550 | + | 0.434972i | −0.999398 | − | 0.0346873i | \(-0.988956\pi\) |
0.882848 | + | 0.469659i | \(0.155623\pi\) | |||||||
\(618\) | −28.8320 | − | 7.72551i | −0.0466537 | − | 0.0125008i | ||||
\(619\) | 206.483 | − | 206.483i | 0.333576 | − | 0.333576i | −0.520367 | − | 0.853943i | \(-0.674205\pi\) |
0.853943 | + | 0.520367i | \(0.174205\pi\) | |||||||
\(620\) | −117.256 | − | 203.093i | −0.189122 | − | 0.327569i | ||||
\(621\) | 223.608 | + | 129.100i | 0.360077 | + | 0.207890i | ||||
\(622\) | −9.57626 | − | 35.7391i | −0.0153959 | − | 0.0574583i | ||||
\(623\) | − | 531.244i | − | 0.852718i | ||||||
\(624\) | 122.350 | 0.196074 | ||||||||
\(625\) | 223.140 | 0.357024 | ||||||||
\(626\) | 197.158 | − | 52.8282i | 0.314948 | − | 0.0843902i | ||||
\(627\) | −37.4641 | + | 64.8897i | −0.0597514 | + | 0.103492i | ||||
\(628\) | 315.920 | − | 182.397i | 0.503058 | − | 0.290441i | ||||
\(629\) | −409.347 | − | 409.347i | −0.650790 | − | 0.650790i | ||||
\(630\) | −25.0666 | + | 93.5500i | −0.0397883 | + | 0.148492i | ||||
\(631\) | −428.813 | − | 114.900i | −0.679577 | − | 0.182092i | −0.0975117 | − | 0.995234i | \(-0.531088\pi\) |
−0.582065 | + | 0.813142i | \(0.697755\pi\) | |||||||
\(632\) | 177.580 | − | 177.580i | 0.280980 | − | 0.280980i | ||||
\(633\) | 26.8282 | + | 46.4679i | 0.0423827 | + | 0.0734090i | ||||
\(634\) | 130.633 | + | 75.4212i | 0.206046 | + | 0.118961i | ||||
\(635\) | 27.4608 | + | 102.485i | 0.0432454 | + | 0.161394i | ||||
\(636\) | − | 40.3397i | − | 0.0634273i | ||||||
\(637\) | 155.192 | − | 89.6000i | 0.243629 | − | 0.140659i | ||||
\(638\) | −78.8231 | −0.123547 | ||||||||
\(639\) | −378.231 | + | 101.347i | −0.591911 | + | 0.158602i | ||||
\(640\) | −207.120 | + | 358.742i | −0.323625 | + | 0.560535i | ||||
\(641\) | −471.717 | + | 272.346i | −0.735908 | + | 0.424877i | −0.820580 | − | 0.571532i | \(-0.806349\pi\) |
0.0846714 | + | 0.996409i | \(0.473016\pi\) | |||||||
\(642\) | 25.5448 | + | 25.5448i | 0.0397894 | + | 0.0397894i | ||||
\(643\) | 100.073 | − | 373.478i | 0.155635 | − | 0.580837i | −0.843415 | − | 0.537262i | \(-0.819459\pi\) |
0.999050 | − | 0.0435749i | \(-0.0138747\pi\) | |||||||
\(644\) | −432.042 | − | 115.765i | −0.670873 | − | 0.179760i | ||||
\(645\) | −100.192 | + | 100.192i | −0.155337 | + | 0.155337i | ||||
\(646\) | −30.1699 | − | 52.2558i | −0.0467026 | − | 0.0808913i | ||||
\(647\) | −436.056 | − | 251.757i | −0.673966 | − | 0.389114i | 0.123612 | − | 0.992331i | \(-0.460552\pi\) |
−0.797578 | + | 0.603216i | \(0.793886\pi\) | |||||||
\(648\) | 69.2166 | + | 258.320i | 0.106816 | + | 0.398642i | ||||
\(649\) | 1560.32i | 2.40420i | ||||||||
\(650\) | −72.3083 | − | 19.3750i | −0.111244 | − | 0.0298076i | ||||
\(651\) | −73.2820 | −0.112568 | ||||||||
\(652\) | 456.363 | − | 122.282i | 0.699943 | − | 0.187549i | ||||
\(653\) | −15.5692 | + | 26.9667i | −0.0238426 | + | 0.0412966i | −0.877701 | − | 0.479210i | \(-0.840923\pi\) |
0.853858 | + | 0.520506i | \(0.174257\pi\) | |||||||
\(654\) | 24.1244 | − | 13.9282i | 0.0368874 | − | 0.0212969i | ||||
\(655\) | 7.85125 | + | 7.85125i | 0.0119866 | + | 0.0119866i | ||||
\(656\) | 154.738 | − | 577.492i | 0.235882 | − | 0.880323i | ||||
\(657\) | −222.861 | − | 59.7154i | −0.339210 | − | 0.0908910i | ||||
\(658\) | 105.426 | − | 105.426i | 0.160221 | − | 0.160221i | ||||
\(659\) | −379.488 | − | 657.293i | −0.575855 | − | 0.997410i | −0.995948 | − | 0.0899292i | \(-0.971336\pi\) |
0.420093 | − | 0.907481i | \(-0.361997\pi\) | |||||||
\(660\) | −142.890 | − | 82.4974i | −0.216500 | − | 0.124996i | ||||
\(661\) | 67.8083 | + | 253.064i | 0.102584 | + | 0.382850i | 0.998060 | − | 0.0622605i | \(-0.0198310\pi\) |
−0.895475 | + | 0.445111i | \(0.853164\pi\) | |||||||
\(662\) | − | 238.795i | − | 0.360717i | ||||||
\(663\) | −152.175 | − | 87.8583i | −0.229525 | − | 0.132516i | ||||
\(664\) | −138.582 | −0.208708 | ||||||||
\(665\) | −134.799 | + | 36.1192i | −0.202705 | + | 0.0543146i | ||||
\(666\) | 68.6840 | − | 118.964i | 0.103129 | − | 0.178625i | ||||
\(667\) | −164.275 | + | 94.8442i | −0.246289 | + | 0.142195i | ||||
\(668\) | 138.603 | + | 138.603i | 0.207489 | + | 0.207489i | ||||
\(669\) | −72.0924 | + | 269.053i | −0.107761 | + | 0.402171i | ||||
\(670\) | 75.2506 | + | 20.1633i | 0.112314 | + | 0.0300945i | ||||
\(671\) | −293.790 | + | 293.790i | −0.437839 | + | 0.437839i | ||||
\(672\) | 49.2295 | + | 85.2679i | 0.0732581 | + | 0.126887i | ||||
\(673\) | −272.210 | − | 157.160i | −0.404472 | − | 0.233522i | 0.283940 | − | 0.958842i | \(-0.408358\pi\) |
−0.688412 | + | 0.725320i | \(0.741692\pi\) | |||||||
\(674\) | 19.3968 | + | 72.3897i | 0.0287786 | + | 0.107403i | ||||
\(675\) | − | 142.221i | − | 0.210697i | ||||||
\(676\) | 546.217 | + | 315.358i | 0.808013 | + | 0.466506i | ||||
\(677\) | −547.384 | −0.808544 | −0.404272 | − | 0.914639i | \(-0.632475\pi\) | ||||
−0.404272 | + | 0.914639i | \(0.632475\pi\) | |||||||
\(678\) | −52.7006 | + | 14.1211i | −0.0777295 | + | 0.0208276i | ||||
\(679\) | 162.665 | − | 281.745i | 0.239566 | − | 0.414941i | ||||
\(680\) | 238.400 | − | 137.640i | 0.350588 | − | 0.202412i | ||||
\(681\) | 216.560 | + | 216.560i | 0.318003 | + | 0.318003i | ||||
\(682\) | 36.6410 | − | 136.746i | 0.0537258 | − | 0.200508i | ||||
\(683\) | 252.954 | + | 67.7789i | 0.370358 | + | 0.0992371i | 0.439197 | − | 0.898391i | \(-0.355263\pi\) |
−0.0688393 | + | 0.997628i | \(0.521930\pi\) | |||||||
\(684\) | −141.014 | + | 141.014i | −0.206161 | + | 0.206161i | ||||
\(685\) | −182.418 | − | 315.957i | −0.266303 | − | 0.461251i | ||||
\(686\) | 167.023 | + | 96.4308i | 0.243474 | + | 0.140570i | ||||
\(687\) | 19.3641 | + | 72.2679i | 0.0281865 | + | 0.105194i | ||||
\(688\) | − | 668.038i | − | 0.970986i | ||||||
\(689\) | 95.9749 | − | 166.233i | 0.139296 | − | 0.241268i | ||||
\(690\) | 28.5077 | 0.0413156 | ||||||||
\(691\) | 1062.75 | − | 284.764i | 1.53799 | − | 0.412104i | 0.612377 | − | 0.790566i | \(-0.290214\pi\) |
0.925617 | + | 0.378462i | \(0.123547\pi\) | |||||||
\(692\) | −256.119 | + | 443.611i | −0.370114 | + | 0.641057i | ||||
\(693\) | 705.233 | − | 407.167i | 1.01765 | − | 0.587542i | ||||
\(694\) | 178.321 | + | 178.321i | 0.256946 | + | 0.256946i | ||||
\(695\) | −31.2666 | + | 116.688i | −0.0449879 | + | 0.167897i | ||||
\(696\) | 26.5814 | + | 7.12247i | 0.0381917 | + | 0.0102334i | ||||
\(697\) | −607.149 | + | 607.149i | −0.871089 | + | 0.871089i | ||||
\(698\) | 3.04036 | + | 5.26606i | 0.00435582 | + | 0.00754450i | ||||
\(699\) | −162.673 | − | 93.9193i | −0.232722 | − | 0.134362i | ||||
\(700\) | 63.7654 | + | 237.976i | 0.0910934 | + | 0.339965i | ||||
\(701\) | 638.323i | 0.910589i | 0.890341 | + | 0.455295i | \(0.150466\pi\) | ||||
−0.890341 | + | 0.455295i | \(0.849534\pi\) | |||||||
\(702\) | 22.2666 | − | 83.1000i | 0.0317188 | − | 0.118376i | ||||
\(703\) | 197.937 | 0.281561 | ||||||||
\(704\) | 621.611 | − | 166.560i | 0.882971 | − | 0.236591i | ||||
\(705\) | 66.1769 | − | 114.622i | 0.0938680 | − | 0.162584i | ||||
\(706\) | 128.171 | − | 73.9993i | 0.181545 | − | 0.104815i | ||||
\(707\) | 671.363 | + | 671.363i | 0.949594 | + | 0.949594i | ||||
\(708\) | 68.0526 | − | 253.976i | 0.0961194 | − | 0.358723i | ||||
\(709\) | −625.185 | − | 167.518i | −0.881784 | − | 0.236273i | −0.210608 | − | 0.977571i | \(-0.567544\pi\) |
−0.671177 | + | 0.741297i | \(0.734211\pi\) | |||||||
\(710\) | −63.0770 | + | 63.0770i | −0.0888408 | + | 0.0888408i | ||||
\(711\) | 265.545 | + | 459.937i | 0.373481 | + | 0.646888i | ||||
\(712\) | −310.298 | − | 179.151i | −0.435812 | − | 0.251616i | ||||
\(713\) | −88.1769 | − | 329.081i | −0.123670 | − | 0.461544i | ||||
\(714\) | − | 41.5204i | − | 0.0581519i | ||||||
\(715\) | −392.550 | − | 679.917i | −0.549021 | − | 0.950932i | ||||
\(716\) | −3.89488 | −0.00543978 | ||||||||
\(717\) | 39.3449 | − | 10.5424i | 0.0548743 | − | 0.0147035i | ||||
\(718\) | −33.7025 | + | 58.3744i | −0.0469394 | + | 0.0813015i | ||||
\(719\) | 1058.38 | − | 611.056i | 1.47202 | − | 0.849870i | 0.472512 | − | 0.881324i | \(-0.343347\pi\) |
0.999505 | + | 0.0314543i | \(0.0100139\pi\) | |||||||
\(720\) | −286.624 | − | 286.624i | −0.398088 | − | 0.398088i | ||||
\(721\) | −120.984 | + | 451.517i | −0.167800 | + | 0.626237i | ||||
\(722\) | −160.572 | − | 43.0251i | −0.222399 | − | 0.0595915i | ||||
\(723\) | 125.053 | − | 125.053i | 0.172963 | − | 0.172963i | ||||
\(724\) | −43.0692 | − | 74.5981i | −0.0594879 | − | 0.103036i | ||||
\(725\) | 90.4852 | + | 52.2417i | 0.124807 | + | 0.0720575i | ||||
\(726\) | −13.9122 | − | 51.9212i | −0.0191629 | − | 0.0715168i | ||||
\(727\) | − | 508.974i | − | 0.700102i | −0.936731 | − | 0.350051i | \(-0.886164\pi\) | ||
0.936731 | − | 0.350051i | \(-0.113836\pi\) | |||||||
\(728\) | 308.767i | 0.424130i | ||||||||
\(729\) | −481.323 | −0.660251 | ||||||||
\(730\) | −50.7698 | + | 13.6037i | −0.0695477 | + | 0.0186353i | ||||
\(731\) | −479.711 | + | 830.885i | −0.656240 | + | 1.13664i | ||||
\(732\) | 60.6340 | − | 35.0070i | 0.0828333 | − | 0.0478238i | ||||
\(733\) | 861.681 | + | 861.681i | 1.17555 | + | 1.17555i | 0.980865 | + | 0.194689i | \(0.0623699\pi\) |
0.194689 | + | 0.980865i | \(0.437630\pi\) | |||||||
\(734\) | 1.68138 | − | 6.27499i | 0.00229071 | − | 0.00854903i | ||||
\(735\) | 36.3083 | + | 9.72878i | 0.0493991 | + | 0.0132364i | ||||
\(736\) | −323.669 | + | 323.669i | −0.439768 | + | 0.439768i | ||||
\(737\) | −327.520 | − | 567.282i | −0.444397 | − | 0.769718i | ||||
\(738\) | −176.449 | − | 101.873i | −0.239091 | − | 0.138039i | ||||
\(739\) | 40.4242 | + | 150.865i | 0.0547013 | + | 0.204148i | 0.987868 | − | 0.155296i | \(-0.0496331\pi\) |
−0.933167 | + | 0.359444i | \(0.882966\pi\) | |||||||
\(740\) | 435.865i | 0.589007i | ||||||||
\(741\) | 58.0333 | − | 15.5500i | 0.0783176 | − | 0.0209851i | ||||
\(742\) | 45.3562 | 0.0611270 | ||||||||
\(743\) | −369.252 | + | 98.9409i | −0.496975 | + | 0.133164i | −0.498596 | − | 0.866835i | \(-0.666151\pi\) |
0.00162070 | + | 0.999999i | \(0.499484\pi\) | |||||||
\(744\) | −24.7128 | + | 42.8038i | −0.0332161 | + | 0.0575321i | ||||
\(745\) | 412.441 | − | 238.123i | 0.553613 | − | 0.319628i | ||||
\(746\) | −113.935 | − | 113.935i | −0.152728 | − | 0.152728i | ||||
\(747\) | 75.8513 | − | 283.081i | 0.101541 | − | 0.378957i | ||||
\(748\) | −1079.13 | − | 289.153i | −1.44269 | − | 0.386568i | ||||
\(749\) | 400.038 | − | 400.038i | 0.534097 | − | 0.534097i | ||||
\(750\) | −25.4955 | − | 44.1596i | −0.0339940 | − | 0.0588794i | ||||
\(751\) | −906.415 | − | 523.319i | −1.20694 | − | 0.696830i | −0.244854 | − | 0.969560i | \(-0.578740\pi\) |
−0.962091 | + | 0.272730i | \(0.912073\pi\) | |||||||
\(752\) | 161.504 | + | 602.743i | 0.214767 | + | 0.801520i | ||||
\(753\) | 187.128i | 0.248510i | ||||||||
\(754\) | 44.6917 | + | 44.6917i | 0.0592728 | + | 0.0592728i | ||||
\(755\) | −674.270 | −0.893073 | ||||||||
\(756\) | −273.492 | + | 73.2820i | −0.361762 | + | 0.0969339i | ||||
\(757\) | 188.415 | − | 326.345i | 0.248897 | − | 0.431103i | −0.714323 | − | 0.699816i | \(-0.753265\pi\) |
0.963220 | + | 0.268713i | \(0.0865985\pi\) | |||||||
\(758\) | −176.293 | + | 101.783i | −0.232576 | + | 0.134278i | ||||
\(759\) | −169.492 | − | 169.492i | −0.223310 | − | 0.223310i | ||||
\(760\) | −24.3609 | + | 90.9160i | −0.0320538 | + | 0.119626i | ||||
\(761\) | −742.044 | − | 198.830i | −0.975091 | − | 0.261275i | −0.264115 | − | 0.964491i | \(-0.585080\pi\) |
−0.710976 | + | 0.703216i | \(0.751747\pi\) | |||||||
\(762\) | 7.63209 | − | 7.63209i | 0.0100159 | − | 0.0100159i | ||||
\(763\) | −218.119 | − | 377.794i | −0.285871 | − | 0.495142i | ||||
\(764\) | 950.235 | + | 548.619i | 1.24376 | + | 0.718087i | ||||
\(765\) | 150.672 | + | 562.315i | 0.196957 | + | 0.735052i | ||||
\(766\) | 382.123i | 0.498855i | ||||||||
\(767\) | 884.683 | − | 884.683i | 1.15343 | − | 1.15343i | ||||
\(768\) | −74.0910 | −0.0964727 | ||||||||
\(769\) | −65.7006 | + | 17.6044i | −0.0854364 | + | 0.0228926i | −0.301284 | − | 0.953534i | \(-0.597415\pi\) |
0.215848 | + | 0.976427i | \(0.430749\pi\) | |||||||
\(770\) | 92.7564 | − | 160.659i | 0.120463 | − | 0.208648i | ||||
\(771\) | 62.7903 | − | 36.2520i | 0.0814400 | − | 0.0470194i | ||||
\(772\) | −872.288 | − | 872.288i | −1.12991 | − | 1.12991i | ||||
\(773\) | −238.681 | + | 890.771i | −0.308773 | + | 1.15236i | 0.620876 | + | 0.783909i | \(0.286777\pi\) |
−0.929649 | + | 0.368447i | \(0.879890\pi\) | |||||||
\(774\) | −219.904 | − | 58.9230i | −0.284113 | − | 0.0761280i | ||||
\(775\) | −132.694 | + | 132.694i | −0.171218 | + | 0.171218i | ||||
\(776\) | −109.711 | − | 190.025i | −0.141380 | − | 0.244877i | ||||
\(777\) | 117.955 | + | 68.1013i | 0.151808 | + | 0.0876465i | ||||
\(778\) | 46.1513 | + | 172.239i | 0.0593205 | + | 0.221387i | ||||
\(779\) | − | 293.583i | − | 0.376872i | ||||||
\(780\) | 34.2417 | + | 127.792i | 0.0438996 | + | 0.163835i | ||||
\(781\) | 750.046 | 0.960366 | ||||||||
\(782\) | 186.452 | − | 49.9596i | 0.238430 | − | 0.0638870i | ||||
\(783\) | −60.0385 | + | 103.990i | −0.0766775 | + | 0.132809i | ||||
\(784\) | −153.477 | + | 88.6103i | −0.195762 | + | 0.113023i | ||||
\(785\) | 257.461 | + | 257.461i | 0.327976 | + | 0.327976i | ||||
\(786\) | 0.292342 | − | 1.09103i | 0.000371936 | − | 0.00138808i | ||||
\(787\) | 1188.62 | + | 318.489i | 1.51031 | + | 0.404687i | 0.916540 | − | 0.399944i | \(-0.130970\pi\) |
0.593774 | + | 0.804632i | \(0.297637\pi\) | |||||||
\(788\) | −232.531 | + | 232.531i | −0.295090 | + | 0.295090i | ||||
\(789\) | −93.4603 | − | 161.878i | −0.118454 | − | 0.205169i | ||||
\(790\) | 104.778 | + | 60.4936i | 0.132630 | + | 0.0765742i | ||||
\(791\) | 221.140 | + | 825.305i | 0.279570 | + | 1.04337i | ||||
\(792\) | − | 549.233i | − | 0.693476i | ||||||
\(793\) | 333.150 | 0.420114 | ||||||||
\(794\) | 363.565 | 0.457891 | ||||||||
\(795\) | 38.8916 | − | 10.4210i | 0.0489203 | − | 0.0131081i | ||||
\(796\) | −375.892 | + | 651.063i | −0.472226 | + | 0.817919i | ||||
\(797\) | −22.0615 | + | 12.7372i | −0.0276807 | + | 0.0159814i | −0.513776 | − | 0.857924i | \(-0.671754\pi\) |
0.486096 | + | 0.873906i | \(0.338421\pi\) | |||||||
\(798\) | 10.0385 | + | 10.0385i | 0.0125795 | + | 0.0125795i | ||||
\(799\) | 231.949 | − | 865.647i | 0.290300 | − | 1.08341i | ||||
\(800\) | 243.538 | + | 65.2558i | 0.304422 | + | 0.0815697i | ||||
\(801\) | 535.788 | − | 535.788i | 0.668899 | − | 0.668899i | ||||
\(802\) | −146.833 | − | 254.323i | −0.183084 | − | 0.317110i | ||||
\(803\) | 382.732 | + | 220.970i | 0.476628 | + | 0.275181i | ||||
\(804\) | 28.5692 | + | 106.622i | 0.0355339 | + | 0.132614i | ||||
\(805\) | − | 446.438i | − | 0.554582i | ||||||
\(806\) | −98.3083 | + | 56.7583i | −0.121971 | + | 0.0704198i | ||||
\(807\) | 67.8667 | 0.0840975 | ||||||||
\(808\) | 618.544 | − | 165.738i | 0.765525 | − | 0.205122i | ||||
\(809\) | 351.463 | − | 608.752i | 0.434442 | − | 0.752475i | −0.562808 | − | 0.826588i | \(-0.690279\pi\) |
0.997250 | + | 0.0741123i | \(0.0236123\pi\) | |||||||
\(810\) | −111.577 | + | 64.4193i | −0.137750 | + | 0.0795300i | ||||
\(811\) | 506.292 | + | 506.292i | 0.624282 | + | 0.624282i | 0.946623 | − | 0.322342i | \(-0.104470\pi\) |
−0.322342 | + | 0.946623i | \(0.604470\pi\) | |||||||
\(812\) | 53.8372 | − | 200.923i | 0.0663019 | − | 0.247442i | ||||
\(813\) | −309.086 | − | 82.8193i | −0.380179 | − | 0.101869i | ||||
\(814\) | −186.056 | + | 186.056i | −0.228570 | + | 0.228570i | ||||
\(815\) | 235.785 | + | 408.391i | 0.289306 | + | 0.501093i | ||||
\(816\) | 150.494 | + | 86.8878i | 0.184429 | + | 0.106480i | ||||
\(817\) | −84.9038 | − | 316.865i | −0.103921 | − | 0.387840i | ||||
\(818\) | 52.6424i | 0.0643550i | ||||||||
\(819\) | −630.717 | − | 169.000i | −0.770106 | − | 0.206349i | ||||
\(820\) | 646.482 | 0.788393 | ||||||||
\(821\) | −1090.79 | + | 292.276i | −1.32861 | + | 0.356000i | −0.852197 | − | 0.523220i | \(-0.824730\pi\) |
−0.476414 | + | 0.879221i | \(0.658064\pi\) | |||||||
\(822\) | −18.5570 | + | 32.1417i | −0.0225755 | + | 0.0391018i | ||||
\(823\) | −449.858 | + | 259.726i | −0.546607 | + | 0.315584i | −0.747752 | − | 0.663978i | \(-0.768867\pi\) |
0.201145 | + | 0.979561i | \(0.435534\pi\) | |||||||
\(824\) | 222.931 | + | 222.931i | 0.270547 | + | 0.270547i | ||||
\(825\) | −34.1718 | + | 127.531i | −0.0414203 | + | 0.154583i | ||||
\(826\) | 285.559 | + | 76.5153i | 0.345713 | + | 0.0926335i | ||||
\(827\) | −571.769 | + | 571.769i | −0.691377 | + | 0.691377i | −0.962535 | − | 0.271158i | \(-0.912594\pi\) |
0.271158 | + | 0.962535i | \(0.412594\pi\) | |||||||
\(828\) | −318.983 | − | 552.494i | −0.385245 | − | 0.667263i | ||||
\(829\) | −848.094 | − | 489.647i | −1.02303 | − | 0.590648i | −0.108052 | − | 0.994145i | \(-0.534461\pi\) |
−0.914981 | + | 0.403497i | \(0.867795\pi\) | |||||||
\(830\) | −17.2796 | − | 64.4885i | −0.0208188 | − | 0.0776970i | ||||
\(831\) | 255.373i | 0.307308i | ||||||||
\(832\) | −446.883 | − | 258.008i | −0.537119 | − | 0.310106i | ||||
\(833\) | 254.520 | 0.305547 | ||||||||
\(834\) | 11.8705 | − | 3.18069i | 0.0142332 | − | 0.00381377i | ||||
\(835\) | −97.8217 | + | 169.432i | −0.117152 | + | 0.202913i | ||||
\(836\) | 330.813 | − | 190.995i | 0.395709 | − | 0.228463i | ||||
\(837\) | −152.497 | − | 152.497i | −0.182195 | − | 0.182195i | ||||
\(838\) | 86.3543 | − | 322.279i | 0.103048 | − | 0.384581i | ||||
\(839\) | 513.757 | + | 137.661i | 0.612344 | + | 0.164077i | 0.551645 | − | 0.834079i | \(-0.314000\pi\) |
0.0606993 | + | 0.998156i | \(0.480667\pi\) | |||||||
\(840\) | −45.7973 | + | 45.7973i | −0.0545206 | + | 0.0545206i | ||||
\(841\) | 376.392 | + | 651.931i | 0.447553 | + | 0.775185i | ||||
\(842\) | −219.747 | − | 126.871i | −0.260983 | − | 0.150678i | ||||
\(843\) | −24.6443 | − | 91.9737i | −0.0292340 | − | 0.109103i | ||||
\(844\) | − | 273.545i | − | 0.324105i | ||||||
\(845\) | −162.933 | + | 608.075i | −0.192820 | + | 0.719615i | ||||
\(846\) | 212.655 | 0.251365 | ||||||||
\(847\) | −813.099 | + | 217.869i | −0.959975 | + | 0.257224i | ||||
\(848\) | −94.9148 | + | 164.397i | −0.111928 | + | 0.193865i | ||||
\(849\) | −22.5500 | + | 13.0192i | −0.0265606 | + | 0.0153348i | ||||
\(850\) | −75.1821 | − | 75.1821i | −0.0884495 | − | 0.0884495i | ||||
\(851\) | −163.886 | + | 611.633i | −0.192581 | + | 0.718722i | ||||
\(852\) | −122.086 | − | 32.7128i | −0.143293 | − | 0.0383953i | ||||
\(853\) | 713.043 | − | 713.043i | 0.835924 | − | 0.835924i | −0.152396 | − | 0.988320i | \(-0.548699\pi\) |
0.988320 | + | 0.152396i | \(0.0486989\pi\) | |||||||
\(854\) | 39.3604 | + | 68.1742i | 0.0460894 | + | 0.0798292i | ||||
\(855\) | −172.380 | − | 99.5237i | −0.201614 | − | 0.116402i | ||||
\(856\) | −98.7569 | − | 368.566i | −0.115370 | − | 0.430568i | ||||
\(857\) | − | 311.663i | − | 0.363667i | −0.983329 | − | 0.181834i | \(-0.941797\pi\) | ||
0.983329 | − | 0.181834i | \(-0.0582032\pi\) | |||||||
\(858\) | −39.9334 | + | 69.1666i | −0.0465424 | + | 0.0806138i | ||||
\(859\) | −1475.02 | −1.71714 | −0.858568 | − | 0.512700i | \(-0.828645\pi\) | ||||
−0.858568 | + | 0.512700i | \(0.828645\pi\) | |||||||
\(860\) | 697.750 | − | 186.962i | 0.811337 | − | 0.217397i | ||||
\(861\) | 101.009 | − | 174.953i | 0.117316 | − | 0.203197i | ||||
\(862\) | −47.1985 | + | 27.2501i | −0.0547547 | + | 0.0316126i | ||||
\(863\) | −700.396 | − | 700.396i | −0.811583 | − | 0.811583i | 0.173288 | − | 0.984871i | \(-0.444561\pi\) |
−0.984871 | + | 0.173288i | \(0.944561\pi\) | |||||||
\(864\) | −74.9948 | + | 279.885i | −0.0867996 | + | 0.323940i | ||||
\(865\) | −493.850 | − | 132.327i | −0.570925 | − | 0.152979i | ||||
\(866\) | −252.276 | + | 252.276i | −0.291312 | + | 0.291312i | ||||
\(867\) | −19.0052 | − | 32.9179i | −0.0219206 | − | 0.0379676i | ||||
\(868\) | 323.545 | + | 186.799i | 0.372747 | + | 0.215206i | ||||
\(869\) | −263.292 | − | 982.620i | −0.302983 | − | 1.13075i | ||||
\(870\) | 13.2576i | 0.0152387i | ||||||||
\(871\) | −135.942 | + | 507.342i | −0.156076 | + | 0.582482i | ||||
\(872\) | −294.224 | −0.337413 | ||||||||
\(873\) | 448.212 | − | 120.098i | 0.513416 | − | 0.137569i | ||||
\(874\) | −33.0000 | + | 57.1577i | −0.0377574 | + | 0.0653978i | ||||
\(875\) | −691.550 | + | 399.267i | −0.790343 | + | 0.456305i | ||||
\(876\) | −52.6603 | − | 52.6603i | −0.0601144 | − | 0.0601144i | ||||
\(877\) | −35.4498 | + | 132.301i | −0.0404217 | + | 0.150856i | −0.983187 | − | 0.182601i | \(-0.941548\pi\) |
0.942765 | + | 0.333457i | \(0.108215\pi\) | |||||||
\(878\) | −45.0666 | − | 12.0756i | −0.0513287 | − | 0.0137535i | ||||
\(879\) | 207.263 | − | 207.263i | 0.235794 | − | 0.235794i | ||||
\(880\) | 388.214 | + | 672.406i | 0.441152 | + | 0.764098i | ||||
\(881\) | 383.677 | + | 221.516i | 0.435502 | + | 0.251437i | 0.701688 | − | 0.712485i | \(-0.252430\pi\) |
−0.266186 | + | 0.963922i | \(0.585764\pi\) | |||||||
\(882\) | 15.6314 | + | 58.3372i | 0.0177227 | + | 0.0661419i | ||||
\(883\) | 1305.20i | 1.47814i | 0.673630 | + | 0.739069i | \(0.264734\pi\) | ||||
−0.673630 | + | 0.739069i | \(0.735266\pi\) | |||||||
\(884\) | 447.908 | + | 775.800i | 0.506684 | + | 0.877602i | ||||
\(885\) | 262.438 | 0.296540 | ||||||||
\(886\) | −321.138 | + | 86.0488i | −0.362459 | + | 0.0971205i | ||||
\(887\) | 861.377 | − | 1491.95i | 0.971113 | − | 1.68202i | 0.278904 | − | 0.960319i | \(-0.410029\pi\) |
0.692209 | − | 0.721697i | \(-0.256638\pi\) | |||||||
\(888\) | 79.5556 | − | 45.9315i | 0.0895897 | − | 0.0517246i | ||||
\(889\) | −119.520 | − | 119.520i | −0.134444 | − | 0.134444i | ||||
\(890\) | 44.6762 | − | 166.734i | 0.0501980 | − | 0.187342i | ||||
\(891\) | 1046.39 | + | 280.378i | 1.17439 | + | 0.314678i | ||||
\(892\) | 1004.12 | − | 1004.12i | 1.12569 | − | 1.12569i | ||||
\(893\) | 153.210 | + | 265.368i | 0.171568 | + | 0.297165i | ||||
\(894\) | −41.9569 | − | 24.2238i | −0.0469316 | − | 0.0270960i | ||||
\(895\) | −1.00617 | − | 3.75506i | −0.00112421 | − | 0.00419560i | ||||
\(896\) | − | 659.920i | − | 0.736518i | ||||||
\(897\) | 192.200i | 0.214270i | ||||||||
\(898\) | −12.1117 | −0.0134874 | ||||||||
\(899\) | 153.040 | − | 41.0070i | 0.170234 | − | 0.0456141i | ||||
\(900\) | −175.701 | + | 304.322i | −0.195223 | + | 0.338136i | ||||
\(901\) | 236.104 | − | 136.315i | 0.262047 | − | 0.151293i | ||||
\(902\) | 275.962 | + | 275.962i | 0.305944 | + | 0.305944i | ||||
\(903\) | 58.4232 | − | 218.038i | 0.0646990 | − | 0.241460i | ||||
\(904\) | 556.633 | + | 149.149i | 0.615745 | + | 0.164988i | ||||
\(905\) | 60.7940 | − | 60.7940i | 0.0671757 | − | 0.0671757i | ||||
\(906\) | 34.2961 | + | 59.4026i | 0.0378544 | + | 0.0655658i | ||||
\(907\) | 758.800 | + | 438.093i | 0.836604 | + | 0.483014i | 0.856109 | − | 0.516796i | \(-0.172875\pi\) |
−0.0195043 | + | 0.999810i | \(0.506209\pi\) | |||||||
\(908\) | −404.107 | − | 1508.15i | −0.445052 | − | 1.66096i | ||||
\(909\) | 1354.21i | 1.48978i | ||||||||
\(910\) | −143.683 | + | 38.4998i | −0.157894 | + | 0.0423075i | ||||
\(911\) | −1103.35 | −1.21114 | −0.605569 | − | 0.795793i | \(-0.707054\pi\) | ||||
−0.605569 | + | 0.795793i | \(0.707054\pi\) | |||||||
\(912\) | −57.3923 | + | 15.3782i | −0.0629302 | + | 0.0168621i | ||||
\(913\) | −280.679 | + | 486.151i | −0.307426 | + | 0.532477i | ||||
\(914\) | −106.139 | + | 61.2795i | −0.116126 | + | 0.0670454i | ||||
\(915\) | 49.4139 | + | 49.4139i | 0.0540043 | + | 0.0540043i | ||||
\(916\) | 98.7199 | − | 368.428i | 0.107773 | − | 0.402213i | ||||
\(917\) | −17.0859 | − | 4.57815i | −0.0186324 | − | 0.00499253i | ||||
\(918\) | 86.4026 | − | 86.4026i | 0.0941205 | − | 0.0941205i | ||||
\(919\) | 328.160 | + | 568.389i | 0.357083 | + | 0.618486i | 0.987472 | − | 0.157793i | \(-0.0504379\pi\) |
−0.630389 | + | 0.776279i | \(0.717105\pi\) | |||||||
\(920\) | −260.763 | − | 150.552i | −0.283439 | − | 0.163643i | ||||
\(921\) | −69.7255 | − | 260.219i | −0.0757063 | − | 0.282540i | ||||
\(922\) | − | 25.2065i | − | 0.0273389i | ||||||
\(923\) | −425.267 | − | 425.267i | −0.460744 | − | 0.460744i | ||||
\(924\) | 262.851 | 0.284471 | ||||||||
\(925\) | 336.897 | − | 90.2712i | 0.364213 | − | 0.0975905i | ||||
\(926\) | 190.769 | − | 330.422i | 0.206014 | − | 0.356827i | ||||
\(927\) | −577.398 | + | 333.361i | −0.622867 | + | 0.359613i | ||||
\(928\) | −150.524 | − | 150.524i | −0.162202 | − | 0.162202i | ||||
\(929\) | 219.574 | − | 819.460i | 0.236355 | − | 0.882088i | −0.741179 | − | 0.671308i | \(-0.765733\pi\) |
0.977533 | − | 0.210780i | \(-0.0676005\pi\) | |||||||
\(930\) | −23.0000 | − | 6.16283i | −0.0247312 | − | 0.00662670i | ||||
\(931\) | −61.5359 | + | 61.5359i | −0.0660966 | + | 0.0660966i | ||||
\(932\) | 478.808 | + | 829.319i | 0.513742 | + | 0.889827i | ||||
\(933\) | 45.3154 | + | 26.1628i | 0.0485695 | + | 0.0280416i | ||||
\(934\) | −18.9461 | − | 70.7077i | −0.0202849 | − | 0.0757041i | ||||
\(935\) | − | 1115.09i | − | 1.19261i | ||||||
\(936\) | −311.408 | + | 311.408i | −0.332701 | + | 0.332701i | ||||
\(937\) | 842.615 | 0.899269 | 0.449635 | − | 0.893213i | \(-0.351554\pi\) | ||||
0.449635 | + | 0.893213i | \(0.351554\pi\) | |||||||
\(938\) | −119.881 | + | 32.1220i | −0.127805 | + | 0.0342452i | ||||
\(939\) | −144.329 | + | 249.986i | −0.153705 | + | 0.266226i | ||||
\(940\) | −584.351 | + | 337.375i | −0.621650 | + | 0.358910i | ||||
\(941\) | −471.659 | − | 471.659i | −0.501232 | − | 0.501232i | 0.410589 | − | 0.911821i | \(-0.365323\pi\) |
−0.911821 | + | 0.410589i | \(0.865323\pi\) | |||||||
\(942\) | 9.58657 | − | 35.7776i | 0.0101768 | − | 0.0379804i | ||||
\(943\) | 907.183 | + | 243.079i | 0.962018 | + | 0.257772i | ||||
\(944\) | −874.911 | + | 874.911i | −0.926813 | + | 0.926813i | ||||
\(945\) | −141.303 | − | 244.743i | −0.149527 | − | 0.258988i | ||||
\(946\) | 377.654 | + | 218.038i | 0.399211 | + | 0.230485i | ||||
\(947\) | −131.110 | − | 489.308i | −0.138447 | − | 0.516693i | −0.999960 | − | 0.00895652i | \(-0.997149\pi\) |
0.861512 | − | 0.507737i | \(-0.169518\pi\) | |||||||
\(948\) | 171.426i | 0.180829i | ||||||||
\(949\) | −91.7168 | − | 342.292i | −0.0966457 | − | 0.360687i | ||||
\(950\) | 36.3538 | 0.0382672 | ||||||||
\(951\) | −206.054 | + | 55.2121i | −0.216671 | + | 0.0580569i | ||||
\(952\) | −219.273 | + | 379.792i | −0.230329 | + | 0.398941i | ||||
\(953\) | −770.092 | + | 444.613i | −0.808071 | + | 0.466540i | −0.846286 | − | 0.532729i | \(-0.821166\pi\) |
0.0382143 | + | 0.999270i | \(0.487833\pi\) | |||||||
\(954\) | 45.7442 | + | 45.7442i | 0.0479499 | + | 0.0479499i | ||||
\(955\) | −283.450 | + | 1057.85i | −0.296806 | + | 1.10769i | ||||
\(956\) | −200.583 | − | 53.7461i | −0.209815 | − | 0.0562198i | ||||
\(957\) | 78.8231 | − | 78.8231i | 0.0823648 | − | 0.0823648i | ||||
\(958\) | −193.783 | − | 335.642i | −0.202278 | − | 0.350356i | ||||
\(959\) | 503.347 | + | 290.608i | 0.524867 | + | 0.303032i | ||||
\(960\) | −28.0146 | − | 104.552i | −0.0291819 | − | 0.108908i | ||||
\(961\) | − | 676.436i | − | 0.703888i | ||||||
\(962\) | 210.983 | 0.219317 | ||||||||
\(963\) | 806.922 | 0.837925 | ||||||||
\(964\) | −870.879 | + | 233.351i | −0.903401 | + | 0.242066i | ||||
\(965\) | 615.636 | − | 1066.31i | 0.637964 | − | 1.10499i | ||||
\(966\) | −39.3308 | + | 22.7077i | −0.0407151 | + | 0.0235069i | ||||
\(967\) | −384.317 | − | 384.317i | −0.397432 | − | 0.397432i | 0.479894 | − | 0.877326i | \(-0.340675\pi\) |
−0.877326 | + | 0.479894i | \(0.840675\pi\) | |||||||
\(968\) | −146.943 | + | 548.401i | −0.151801 | + | 0.566529i | ||||
\(969\) | 82.4256 | + | 22.0859i | 0.0850626 | + | 0.0227924i | ||||
\(970\) | 74.7475 | − | 74.7475i | 0.0770593 | − | 0.0770593i | ||||
\(971\) | 121.863 | + | 211.074i | 0.125503 | + | 0.217378i | 0.921929 | − | 0.387358i | \(-0.126612\pi\) |
−0.796426 | + | 0.604735i | \(0.793279\pi\) | |||||||
\(972\) | −529.977 | − | 305.983i | −0.545244 | − | 0.314797i | ||||
\(973\) | −49.8104 | − | 185.895i | −0.0511926 | − | 0.191053i | ||||
\(974\) | − | 125.874i | − | 0.129234i | ||||||
\(975\) | 91.6833 | − | 52.9334i | 0.0940341 | − | 0.0542906i | ||||
\(976\) | −329.470 | −0.337572 | ||||||||
\(977\) | −1110.01 | + | 297.426i | −1.13614 | + | 0.304428i | −0.777398 | − | 0.629009i | \(-0.783461\pi\) |
−0.358742 | + | 0.933437i | \(0.616794\pi\) | |||||||
\(978\) | 23.9859 | − | 41.5448i | 0.0245255 | − | 0.0424794i | ||||
\(979\) | −1256.94 | + | 725.692i | −1.28390 | + | 0.741259i | ||||
\(980\) | −135.504 | − | 135.504i | −0.138270 | − | 0.138270i | ||||
\(981\) | 161.040 | − | 601.011i | 0.164159 | − | 0.612651i | ||||
\(982\) | 42.3308 | + | 11.3425i | 0.0431067 | + | 0.0115504i | ||||
\(983\) | −774.213 | + | 774.213i | −0.787602 | + | 0.787602i | −0.981101 | − | 0.193499i | \(-0.938016\pi\) |
0.193499 | + | 0.981101i | \(0.438016\pi\) | |||||||
\(984\) | −68.1262 | − | 117.998i | −0.0692340 | − | 0.119917i | ||||
\(985\) | −284.253 | − | 164.114i | −0.288582 | − | 0.166613i | ||||
\(986\) | 23.2339 | + | 86.7102i | 0.0235638 | + | 0.0879414i | ||||
\(987\) | 210.851i | 0.213628i | ||||||||
\(988\) | −295.858 | − | 79.2750i | −0.299452 | − | 0.0802378i | ||||
\(989\) | 1049.42 | 1.06109 | ||||||||
\(990\) | 255.583 | − | 68.4833i | 0.258165 | − | 0.0691751i | ||||
\(991\) | 391.733 | − | 678.501i | 0.395290 | − | 0.684663i | −0.597848 | − | 0.801609i | \(-0.703977\pi\) |
0.993138 | + | 0.116947i | \(0.0373107\pi\) | |||||||
\(992\) | 331.107 | − | 191.165i | 0.333777 | − | 0.192706i | ||||
\(993\) | 238.795 | + | 238.795i | 0.240478 | + | 0.240478i | ||||
\(994\) | 36.7808 | − | 137.268i | 0.0370029 | − | 0.138097i | ||||
\(995\) | −724.795 | − | 194.208i | −0.728438 | − | 0.195184i | ||||
\(996\) | 66.8897 | − | 66.8897i | 0.0671584 | − | 0.0671584i | ||||
\(997\) | −250.817 | − | 434.428i | −0.251572 | − | 0.435735i | 0.712387 | − | 0.701787i | \(-0.247614\pi\) |
−0.963959 | + | 0.266052i | \(0.914281\pi\) | |||||||
\(998\) | 85.2046 | + | 49.1929i | 0.0853753 | + | 0.0492915i | ||||
\(999\) | 103.744 | + | 387.177i | 0.103848 | + | 0.387564i |
(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 | 13.3.f.a.7.1 | yes | 4 | |
3.2 | odd | 2 | 117.3.bd.b.46.1 | 4 | |||
4.3 | odd | 2 | 208.3.bd.d.33.1 | 4 | |||
5.2 | odd | 4 | 325.3.w.a.124.1 | 4 | |||
5.3 | odd | 4 | 325.3.w.b.124.1 | 4 | |||
5.4 | even | 2 | 325.3.t.a.176.1 | 4 | |||
13.2 | odd | 12 | inner | 13.3.f.a.2.1 | ✓ | 4 | |
13.3 | even | 3 | 169.3.f.c.89.1 | 4 | |||
13.4 | even | 6 | 169.3.d.c.99.1 | 4 | |||
13.5 | odd | 4 | 169.3.f.c.19.1 | 4 | |||
13.6 | odd | 12 | 169.3.d.a.70.2 | 4 | |||
13.7 | odd | 12 | 169.3.d.c.70.1 | 4 | |||
13.8 | odd | 4 | 169.3.f.a.19.1 | 4 | |||
13.9 | even | 3 | 169.3.d.a.99.2 | 4 | |||
13.10 | even | 6 | 169.3.f.a.89.1 | 4 | |||
13.11 | odd | 12 | 169.3.f.b.80.1 | 4 | |||
13.12 | even | 2 | 169.3.f.b.150.1 | 4 | |||
39.2 | even | 12 | 117.3.bd.b.28.1 | 4 | |||
52.15 | even | 12 | 208.3.bd.d.145.1 | 4 | |||
65.2 | even | 12 | 325.3.w.b.249.1 | 4 | |||
65.28 | even | 12 | 325.3.w.a.249.1 | 4 | |||
65.54 | odd | 12 | 325.3.t.a.301.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.3.f.a.2.1 | ✓ | 4 | 13.2 | odd | 12 | inner | |
13.3.f.a.7.1 | yes | 4 | 1.1 | even | 1 | trivial | |
117.3.bd.b.28.1 | 4 | 39.2 | even | 12 | |||
117.3.bd.b.46.1 | 4 | 3.2 | odd | 2 | |||
169.3.d.a.70.2 | 4 | 13.6 | odd | 12 | |||
169.3.d.a.99.2 | 4 | 13.9 | even | 3 | |||
169.3.d.c.70.1 | 4 | 13.7 | odd | 12 | |||
169.3.d.c.99.1 | 4 | 13.4 | even | 6 | |||
169.3.f.a.19.1 | 4 | 13.8 | odd | 4 | |||
169.3.f.a.89.1 | 4 | 13.10 | even | 6 | |||
169.3.f.b.80.1 | 4 | 13.11 | odd | 12 | |||
169.3.f.b.150.1 | 4 | 13.12 | even | 2 | |||
169.3.f.c.19.1 | 4 | 13.5 | odd | 4 | |||
169.3.f.c.89.1 | 4 | 13.3 | even | 3 | |||
208.3.bd.d.33.1 | 4 | 4.3 | odd | 2 | |||
208.3.bd.d.145.1 | 4 | 52.15 | even | 12 | |||
325.3.t.a.176.1 | 4 | 5.4 | even | 2 | |||
325.3.t.a.301.1 | 4 | 65.54 | odd | 12 | |||
325.3.w.a.124.1 | 4 | 5.2 | odd | 4 | |||
325.3.w.a.249.1 | 4 | 65.28 | even | 12 | |||
325.3.w.b.124.1 | 4 | 5.3 | odd | 4 | |||
325.3.w.b.249.1 | 4 | 65.2 | even | 12 |