Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), 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: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 74.7 |
Dual form | 74.4.f.a.53.1 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.87939 | − | 0.684040i | 0.664463 | − | 0.241845i | ||||
\(3\) | −4.40012 | − | 1.60151i | −0.846803 | − | 0.308211i | −0.118067 | − | 0.993006i | \(-0.537670\pi\) |
−0.728736 | + | 0.684795i | \(0.759892\pi\) | |||||||
\(4\) | 3.06418 | − | 2.57115i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.0856491 | − | 0.485740i | −0.00766069 | − | 0.0434459i | 0.980738 | − | 0.195329i | \(-0.0625774\pi\) |
−0.988398 | + | 0.151883i | \(0.951466\pi\) | |||||||
\(6\) | −9.36501 | −0.637208 | ||||||||
\(7\) | −4.85295 | − | 27.5224i | −0.262034 | − | 1.48607i | −0.777349 | − | 0.629070i | \(-0.783436\pi\) |
0.515314 | − | 0.857001i | \(-0.327675\pi\) | |||||||
\(8\) | 4.00000 | − | 6.92820i | 0.176777 | − | 0.306186i | ||||
\(9\) | −3.88702 | − | 3.26159i | −0.143964 | − | 0.120800i | ||||
\(10\) | −0.493234 | − | 0.854306i | −0.0155974 | − | 0.0270155i | ||||
\(11\) | 14.3294 | − | 24.8193i | 0.392772 | − | 0.680301i | −0.600042 | − | 0.799968i | \(-0.704850\pi\) |
0.992814 | + | 0.119667i | \(0.0381828\pi\) | |||||||
\(12\) | −17.6005 | + | 6.40605i | −0.423401 | + | 0.154105i | ||||
\(13\) | −32.8237 | + | 27.5424i | −0.700282 | + | 0.587607i | −0.921854 | − | 0.387538i | \(-0.873326\pi\) |
0.221572 | + | 0.975144i | \(0.428881\pi\) | |||||||
\(14\) | −27.9470 | − | 48.4056i | −0.533511 | − | 0.924068i | ||||
\(15\) | −0.401052 | + | 2.27448i | −0.00690342 | + | 0.0391512i | ||||
\(16\) | 2.77837 | − | 15.7569i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −34.3208 | − | 28.7986i | −0.489648 | − | 0.410864i | 0.364252 | − | 0.931300i | \(-0.381325\pi\) |
−0.853900 | + | 0.520437i | \(0.825769\pi\) | |||||||
\(18\) | −9.53626 | − | 3.47092i | −0.124873 | − | 0.0454502i | ||||
\(19\) | 146.256 | + | 53.2327i | 1.76597 | + | 0.642759i | 1.00000 | 0.000121544i | \(-3.86885e-5\pi\) | |
0.765966 | + | 0.642881i | \(0.222261\pi\) | |||||||
\(20\) | −1.51136 | − | 1.26818i | −0.0168975 | − | 0.0141787i | ||||
\(21\) | −22.7239 | + | 128.874i | −0.236132 | + | 1.33917i | ||||
\(22\) | 9.95313 | − | 56.4470i | 0.0964552 | − | 0.547025i | ||||
\(23\) | 17.3086 | + | 29.9795i | 0.156917 | + | 0.271789i | 0.933756 | − | 0.357911i | \(-0.116511\pi\) |
−0.776838 | + | 0.629700i | \(0.783178\pi\) | |||||||
\(24\) | −28.6961 | + | 24.0789i | −0.244065 | + | 0.204795i | ||||
\(25\) | 117.233 | − | 42.6693i | 0.937864 | − | 0.341354i | ||||
\(26\) | −42.8484 | + | 74.2155i | −0.323202 | + | 0.559802i | ||||
\(27\) | 75.0937 | + | 130.066i | 0.535251 | + | 0.927082i | ||||
\(28\) | −85.6346 | − | 71.8559i | −0.577979 | − | 0.484982i | ||||
\(29\) | −4.83096 | + | 8.36746i | −0.0309340 | + | 0.0535792i | −0.881078 | − | 0.472971i | \(-0.843182\pi\) |
0.850144 | + | 0.526550i | \(0.176515\pi\) | |||||||
\(30\) | 0.802105 | + | 4.54896i | 0.00488146 | + | 0.0276841i | ||||
\(31\) | 9.17583 | 0.0531622 | 0.0265811 | − | 0.999647i | \(-0.491538\pi\) | ||||
0.0265811 | + | 0.999647i | \(0.491538\pi\) | |||||||
\(32\) | −5.55674 | − | 31.5138i | −0.0306970 | − | 0.174091i | ||||
\(33\) | −102.800 | + | 86.2592i | −0.542277 | + | 0.455024i | ||||
\(34\) | −84.2014 | − | 30.6468i | −0.424718 | − | 0.154585i | ||||
\(35\) | −12.9531 | + | 4.71454i | −0.0625564 | + | 0.0227687i | ||||
\(36\) | −20.2966 | −0.0939656 | ||||||||
\(37\) | −74.8199 | − | 212.262i | −0.332441 | − | 0.943124i | ||||
\(38\) | 311.284 | 1.32887 | ||||||||
\(39\) | 188.538 | − | 68.6221i | 0.774108 | − | 0.281752i | ||||
\(40\) | −3.70790 | − | 1.34957i | −0.0146568 | − | 0.00533463i | ||||
\(41\) | −7.15149 | + | 6.00082i | −0.0272409 | + | 0.0228578i | −0.656306 | − | 0.754494i | \(-0.727882\pi\) |
0.629066 | + | 0.777352i | \(0.283438\pi\) | |||||||
\(42\) | 45.4479 | + | 257.748i | 0.166971 | + | 0.946937i | ||||
\(43\) | −87.8577 | −0.311585 | −0.155793 | − | 0.987790i | \(-0.549793\pi\) | ||||
−0.155793 | + | 0.987790i | \(0.549793\pi\) | |||||||
\(44\) | −19.9063 | − | 112.894i | −0.0682041 | − | 0.386805i | ||||
\(45\) | −1.25137 | + | 2.16743i | −0.00414540 | + | 0.00718004i | ||||
\(46\) | 53.0368 | + | 44.5031i | 0.169997 | + | 0.142644i | ||||
\(47\) | 125.517 | + | 217.402i | 0.389543 | + | 0.674709i | 0.992388 | − | 0.123150i | \(-0.0392996\pi\) |
−0.602845 | + | 0.797858i | \(0.705966\pi\) | |||||||
\(48\) | −37.4600 | + | 64.8827i | −0.112644 | + | 0.195104i | ||||
\(49\) | −411.618 | + | 149.817i | −1.20005 | + | 0.436783i | ||||
\(50\) | 191.138 | − | 160.384i | 0.540621 | − | 0.453635i | ||||
\(51\) | 104.894 | + | 181.682i | 0.288003 | + | 0.498835i | ||||
\(52\) | −29.7622 | + | 168.790i | −0.0793705 | + | 0.450133i | ||||
\(53\) | −77.0389 | + | 436.909i | −0.199662 | + | 1.13234i | 0.705958 | + | 0.708253i | \(0.250516\pi\) |
−0.905621 | + | 0.424088i | \(0.860595\pi\) | |||||||
\(54\) | 230.100 | + | 193.077i | 0.579865 | + | 0.486564i | ||||
\(55\) | −13.2831 | − | 4.83464i | −0.0325652 | − | 0.0118528i | ||||
\(56\) | −210.093 | − | 76.4675i | −0.501336 | − | 0.182471i | ||||
\(57\) | −558.289 | − | 468.460i | −1.29732 | − | 1.08858i | ||||
\(58\) | −3.35555 | + | 19.0302i | −0.00759663 | + | 0.0430827i | ||||
\(59\) | 136.649 | − | 774.976i | 0.301529 | − | 1.71006i | −0.337880 | − | 0.941189i | \(-0.609710\pi\) |
0.639409 | − | 0.768867i | \(-0.279179\pi\) | |||||||
\(60\) | 4.61914 | + | 8.00058i | 0.00993880 | + | 0.0172145i | ||||
\(61\) | 598.617 | − | 502.299i | 1.25648 | − | 1.05431i | 0.260428 | − | 0.965493i | \(-0.416136\pi\) |
0.996048 | − | 0.0888158i | \(-0.0283082\pi\) | |||||||
\(62\) | 17.2449 | − | 6.27664i | 0.0353243 | − | 0.0128570i | ||||
\(63\) | −70.9035 | + | 122.808i | −0.141794 | + | 0.245594i | ||||
\(64\) | −32.0000 | − | 55.4256i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 16.1898 | + | 13.5848i | 0.0308938 | + | 0.0259229i | ||||
\(66\) | −134.195 | + | 232.433i | −0.250278 | + | 0.433493i | ||||
\(67\) | −122.785 | − | 696.350i | −0.223890 | − | 1.26974i | −0.864796 | − | 0.502123i | \(-0.832552\pi\) |
0.640907 | − | 0.767619i | \(-0.278559\pi\) | |||||||
\(68\) | −179.211 | −0.319595 | ||||||||
\(69\) | −28.1476 | − | 159.633i | −0.0491098 | − | 0.278515i | ||||
\(70\) | −21.1189 | + | 17.7209i | −0.0360599 | + | 0.0302579i | ||||
\(71\) | 156.029 | + | 56.7899i | 0.260806 | + | 0.0949257i | 0.469114 | − | 0.883138i | \(-0.344573\pi\) |
−0.208308 | + | 0.978063i | \(0.566796\pi\) | |||||||
\(72\) | −38.1451 | + | 13.8837i | −0.0624366 | + | 0.0227251i | ||||
\(73\) | −427.610 | −0.685588 | −0.342794 | − | 0.939411i | \(-0.611373\pi\) | ||||
−0.342794 | + | 0.939411i | \(0.611373\pi\) | |||||||
\(74\) | −285.811 | − | 347.741i | −0.448984 | − | 0.546272i | ||||
\(75\) | −584.174 | −0.899395 | ||||||||
\(76\) | 585.023 | − | 212.931i | 0.882983 | − | 0.321380i | ||||
\(77\) | −752.628 | − | 273.934i | −1.11390 | − | 0.405425i | ||||
\(78\) | 307.395 | − | 257.935i | 0.446226 | − | 0.374428i | ||||
\(79\) | −87.9191 | − | 498.614i | −0.125211 | − | 0.710107i | −0.981182 | − | 0.193083i | \(-0.938151\pi\) |
0.855971 | − | 0.517023i | \(-0.172960\pi\) | |||||||
\(80\) | −7.89174 | −0.0110290 | ||||||||
\(81\) | −98.3285 | − | 557.649i | −0.134881 | − | 0.764950i | ||||
\(82\) | −9.33561 | + | 16.1698i | −0.0125725 | + | 0.0217762i | ||||
\(83\) | 824.627 | + | 691.944i | 1.09054 | + | 0.915069i | 0.996753 | − | 0.0805234i | \(-0.0256592\pi\) |
0.0937843 | + | 0.995593i | \(0.470104\pi\) | |||||||
\(84\) | 261.724 | + | 453.319i | 0.339957 | + | 0.588824i | ||||
\(85\) | −11.0491 | + | 19.1376i | −0.0140993 | + | 0.0244207i | ||||
\(86\) | −165.118 | + | 60.0982i | −0.207037 | + | 0.0753553i | ||||
\(87\) | 34.6573 | − | 29.0810i | 0.0427087 | − | 0.0358369i | ||||
\(88\) | −114.636 | − | 198.555i | −0.138866 | − | 0.240523i | ||||
\(89\) | −134.023 | + | 760.082i | −0.159623 | + | 0.905264i | 0.794815 | + | 0.606852i | \(0.207568\pi\) |
−0.954437 | + | 0.298412i | \(0.903543\pi\) | |||||||
\(90\) | −0.869191 | + | 4.92943i | −0.00101801 | + | 0.00577342i | ||||
\(91\) | 917.325 | + | 769.727i | 1.05672 | + | 0.886696i | ||||
\(92\) | 130.118 | + | 47.3592i | 0.147454 | + | 0.0536689i | ||||
\(93\) | −40.3747 | − | 14.6952i | −0.0450179 | − | 0.0163852i | ||||
\(94\) | 384.606 | + | 322.723i | 0.422012 | + | 0.354110i | ||||
\(95\) | 13.3306 | − | 75.6016i | 0.0143968 | − | 0.0816480i | ||||
\(96\) | −26.0195 | + | 147.564i | −0.0276625 | + | 0.156882i | ||||
\(97\) | 100.542 | + | 174.143i | 0.105242 | + | 0.182284i | 0.913837 | − | 0.406081i | \(-0.133105\pi\) |
−0.808595 | + | 0.588365i | \(0.799772\pi\) | |||||||
\(98\) | −671.108 | + | 563.127i | −0.691757 | + | 0.580453i | ||||
\(99\) | −136.649 | + | 49.7363i | −0.138725 | + | 0.0504918i | ||||
\(100\) | 249.513 | − | 432.170i | 0.249513 | − | 0.432170i | ||||
\(101\) | 692.984 | + | 1200.28i | 0.682717 | + | 1.18250i | 0.974148 | + | 0.225909i | \(0.0725353\pi\) |
−0.291431 | + | 0.956592i | \(0.594131\pi\) | |||||||
\(102\) | 321.415 | + | 269.699i | 0.312008 | + | 0.261806i | ||||
\(103\) | 51.3295 | − | 88.9053i | 0.0491033 | − | 0.0850495i | −0.840429 | − | 0.541922i | \(-0.817697\pi\) |
0.889532 | + | 0.456872i | \(0.151030\pi\) | |||||||
\(104\) | 59.5243 | + | 337.579i | 0.0561235 | + | 0.318292i | ||||
\(105\) | 64.5455 | 0.0599905 | ||||||||
\(106\) | 154.078 | + | 873.818i | 0.141183 | + | 0.800686i | ||||
\(107\) | 221.639 | − | 185.977i | 0.200249 | − | 0.168029i | −0.537149 | − | 0.843487i | \(-0.680499\pi\) |
0.737398 | + | 0.675459i | \(0.236054\pi\) | |||||||
\(108\) | 564.520 | + | 205.468i | 0.502972 | + | 0.183067i | ||||
\(109\) | 19.1459 | − | 6.96855i | 0.0168243 | − | 0.00612354i | −0.333594 | − | 0.942717i | \(-0.608262\pi\) |
0.350419 | + | 0.936593i | \(0.386039\pi\) | |||||||
\(110\) | −28.2711 | −0.0245049 | ||||||||
\(111\) | −10.7229 | + | 1053.80i | −0.00916908 | + | 0.901102i | ||||
\(112\) | −447.152 | −0.377249 | ||||||||
\(113\) | −474.594 | + | 172.738i | −0.395098 | + | 0.143804i | −0.531926 | − | 0.846791i | \(-0.678531\pi\) |
0.136828 | + | 0.990595i | \(0.456309\pi\) | |||||||
\(114\) | −1369.69 | − | 498.525i | −1.12529 | − | 0.409571i | ||||
\(115\) | 13.0798 | − | 10.9752i | 0.0106060 | − | 0.00889952i | ||||
\(116\) | 6.71109 | + | 38.0605i | 0.00537163 | + | 0.0304640i | ||||
\(117\) | 217.419 | 0.171798 | ||||||||
\(118\) | −273.298 | − | 1549.95i | −0.213213 | − | 1.20919i | ||||
\(119\) | −626.050 | + | 1084.35i | −0.482268 | + | 0.835312i | ||||
\(120\) | 14.1539 | + | 11.8765i | 0.0107672 | + | 0.00903476i | ||||
\(121\) | 254.834 | + | 441.385i | 0.191460 | + | 0.331619i | ||||
\(122\) | 781.439 | − | 1353.49i | 0.579903 | − | 1.00442i | ||||
\(123\) | 41.0778 | − | 14.9511i | 0.0301127 | − | 0.0109601i | ||||
\(124\) | 28.1164 | − | 23.5924i | 0.0203623 | − | 0.0170860i | ||||
\(125\) | −61.5942 | − | 106.684i | −0.0440732 | − | 0.0763371i | ||||
\(126\) | −49.2491 | + | 279.305i | −0.0348211 | + | 0.197480i | ||||
\(127\) | 18.6215 | − | 105.608i | 0.0130110 | − | 0.0737889i | −0.977611 | − | 0.210421i | \(-0.932517\pi\) |
0.990622 | + | 0.136632i | \(0.0436277\pi\) | |||||||
\(128\) | −98.0537 | − | 82.2768i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 386.584 | + | 140.705i | 0.263851 | + | 0.0960341i | ||||
\(130\) | 39.7194 | + | 14.4567i | 0.0267971 | + | 0.00975334i | ||||
\(131\) | 2037.83 | + | 1709.94i | 1.35913 | + | 1.14044i | 0.976250 | + | 0.216646i | \(0.0695117\pi\) |
0.382879 | + | 0.923799i | \(0.374933\pi\) | |||||||
\(132\) | −93.2112 | + | 528.627i | −0.0614621 | + | 0.348569i | ||||
\(133\) | 755.322 | − | 4283.65i | 0.492442 | − | 2.79278i | ||||
\(134\) | −707.092 | − | 1224.72i | −0.455847 | − | 0.789550i | ||||
\(135\) | 56.7466 | − | 47.6161i | 0.0361776 | − | 0.0303566i | ||||
\(136\) | −336.806 | + | 122.587i | −0.212359 | + | 0.0772924i | ||||
\(137\) | −1107.88 | + | 1918.90i | −0.690892 | + | 1.19666i | 0.280654 | + | 0.959809i | \(0.409449\pi\) |
−0.971546 | + | 0.236851i | \(0.923885\pi\) | |||||||
\(138\) | −162.096 | − | 280.758i | −0.0999891 | − | 0.173186i | ||||
\(139\) | −2093.62 | − | 1756.76i | −1.27755 | − | 1.07199i | −0.993577 | − | 0.113154i | \(-0.963905\pi\) |
−0.283968 | − | 0.958834i | \(-0.591651\pi\) | |||||||
\(140\) | −27.5688 | + | 47.7506i | −0.0166428 | + | 0.0288261i | ||||
\(141\) | −204.118 | − | 1157.61i | −0.121914 | − | 0.691407i | ||||
\(142\) | 332.085 | 0.196253 | ||||||||
\(143\) | 213.238 | + | 1209.33i | 0.124698 | + | 0.707198i | ||||
\(144\) | −62.1923 | + | 52.1855i | −0.0359909 | + | 0.0302000i | ||||
\(145\) | 4.47818 | + | 1.62992i | 0.00256478 | + | 0.000933502i | ||||
\(146\) | −803.643 | + | 292.502i | −0.455548 | + | 0.165806i | ||||
\(147\) | 2051.10 | 1.15083 | ||||||||
\(148\) | −775.018 | − | 458.034i | −0.430447 | − | 0.254393i | ||||
\(149\) | −2749.16 | −1.51154 | −0.755771 | − | 0.654836i | \(-0.772738\pi\) | ||||
−0.755771 | + | 0.654836i | \(0.772738\pi\) | |||||||
\(150\) | −1097.89 | + | 399.599i | −0.597615 | + | 0.217514i | ||||
\(151\) | 2634.61 | + | 958.921i | 1.41988 | + | 0.516794i | 0.934013 | − | 0.357240i | \(-0.116282\pi\) |
0.485866 | + | 0.874033i | \(0.338504\pi\) | |||||||
\(152\) | 953.830 | − | 800.358i | 0.508986 | − | 0.427090i | ||||
\(153\) | 39.4763 | + | 223.881i | 0.0208593 | + | 0.118299i | ||||
\(154\) | −1601.86 | −0.838192 | ||||||||
\(155\) | −0.785902 | − | 4.45707i | −0.000407259 | − | 0.00230968i | ||||
\(156\) | 401.275 | − | 695.029i | 0.205947 | − | 0.356711i | ||||
\(157\) | 1042.61 | + | 874.852i | 0.529995 | + | 0.444718i | 0.868100 | − | 0.496390i | \(-0.165341\pi\) |
−0.338105 | + | 0.941108i | \(0.609786\pi\) | |||||||
\(158\) | −506.306 | − | 876.947i | −0.254934 | − | 0.441558i | ||||
\(159\) | 1038.70 | − | 1799.07i | 0.518075 | − | 0.897332i | ||||
\(160\) | −14.8316 | + | 5.39827i | −0.00732839 | + | 0.00266732i | ||||
\(161\) | 741.109 | − | 621.864i | 0.362780 | − | 0.304409i | ||||
\(162\) | −566.251 | − | 980.776i | −0.274623 | − | 0.475661i | ||||
\(163\) | 559.649 | − | 3173.93i | 0.268927 | − | 1.52516i | −0.488689 | − | 0.872458i | \(-0.662525\pi\) |
0.757615 | − | 0.652701i | \(-0.226364\pi\) | |||||||
\(164\) | −6.48445 | + | 36.7751i | −0.00308750 | + | 0.0175101i | ||||
\(165\) | 50.7043 | + | 42.5459i | 0.0239232 | + | 0.0200739i | ||||
\(166\) | 2023.11 | + | 736.352i | 0.945926 | + | 0.344289i | ||||
\(167\) | −1786.48 | − | 650.224i | −0.827794 | − | 0.301292i | −0.106841 | − | 0.994276i | \(-0.534074\pi\) |
−0.720953 | + | 0.692984i | \(0.756296\pi\) | |||||||
\(168\) | 801.969 | + | 672.932i | 0.368293 | + | 0.309035i | ||||
\(169\) | −62.6902 | + | 355.534i | −0.0285344 | + | 0.161827i | ||||
\(170\) | −7.67461 | + | 43.5249i | −0.00346245 | + | 0.0196365i | ||||
\(171\) | −394.875 | − | 683.943i | −0.176590 | − | 0.305862i | ||||
\(172\) | −269.212 | + | 225.895i | −0.119344 | + | 0.100142i | ||||
\(173\) | −2737.46 | + | 996.352i | −1.20303 | + | 0.437869i | −0.864282 | − | 0.503007i | \(-0.832227\pi\) |
−0.338752 | + | 0.940876i | \(0.610005\pi\) | |||||||
\(174\) | 45.2419 | − | 78.3614i | 0.0197114 | − | 0.0341411i | ||||
\(175\) | −1743.29 | − | 3019.46i | −0.753030 | − | 1.30429i | ||||
\(176\) | −351.264 | − | 294.745i | −0.150440 | − | 0.126234i | ||||
\(177\) | −1842.41 | + | 3191.14i | −0.782394 | + | 1.35515i | ||||
\(178\) | 268.046 | + | 1520.16i | 0.112870 | + | 0.640119i | ||||
\(179\) | 3060.50 | 1.27795 | 0.638974 | − | 0.769229i | \(-0.279359\pi\) | ||||
0.638974 | + | 0.769229i | \(0.279359\pi\) | |||||||
\(180\) | 1.73838 | + | 9.85886i | 0.000719841 | + | 0.00408242i | ||||
\(181\) | 207.863 | − | 174.418i | 0.0853609 | − | 0.0716263i | −0.599109 | − | 0.800668i | \(-0.704478\pi\) |
0.684470 | + | 0.729041i | \(0.260034\pi\) | |||||||
\(182\) | 2250.53 | + | 819.127i | 0.916596 | + | 0.333614i | ||||
\(183\) | −3438.42 | + | 1251.48i | −1.38894 | + | 0.505532i | ||||
\(184\) | 276.938 | 0.110957 | ||||||||
\(185\) | −96.6957 | + | 54.5231i | −0.0384282 | + | 0.0216682i | ||||
\(186\) | −85.9318 | −0.0338754 | ||||||||
\(187\) | −1206.56 | + | 439.152i | −0.471831 | + | 0.171732i | ||||
\(188\) | 943.579 | + | 343.435i | 0.366051 | + | 0.133232i | ||||
\(189\) | 3215.31 | − | 2697.96i | 1.23746 | − | 1.03835i | ||||
\(190\) | −26.6612 | − | 151.203i | −0.0101800 | − | 0.0577339i | ||||
\(191\) | −4003.63 | −1.51671 | −0.758357 | − | 0.651839i | \(-0.773998\pi\) | ||||
−0.758357 | + | 0.651839i | \(0.773998\pi\) | |||||||
\(192\) | 52.0389 | + | 295.128i | 0.0195604 | + | 0.110932i | ||||
\(193\) | −566.875 | + | 981.857i | −0.211423 | + | 0.366195i | −0.952160 | − | 0.305600i | \(-0.901143\pi\) |
0.740737 | + | 0.671795i | \(0.234476\pi\) | |||||||
\(194\) | 308.077 | + | 258.508i | 0.114014 | + | 0.0956689i | ||||
\(195\) | −49.4806 | − | 85.7030i | −0.0181712 | − | 0.0314734i | ||||
\(196\) | −876.069 | + | 1517.40i | −0.319267 | + | 0.552987i | ||||
\(197\) | −791.397 | + | 288.045i | −0.286217 | + | 0.104174i | −0.481139 | − | 0.876644i | \(-0.659777\pi\) |
0.194922 | + | 0.980819i | \(0.437555\pi\) | |||||||
\(198\) | −222.795 | + | 186.947i | −0.0799665 | + | 0.0670999i | ||||
\(199\) | 2455.59 | + | 4253.21i | 0.874735 | + | 1.51508i | 0.857045 | + | 0.515241i | \(0.172298\pi\) |
0.0176896 | + | 0.999844i | \(0.494369\pi\) | |||||||
\(200\) | 173.310 | − | 982.891i | 0.0612744 | − | 0.347504i | ||||
\(201\) | −574.943 | + | 3260.66i | −0.201758 | + | 1.14423i | ||||
\(202\) | 2123.43 | + | 1781.77i | 0.739622 | + | 0.620617i | ||||
\(203\) | 253.737 | + | 92.3528i | 0.0877283 | + | 0.0319305i | ||||
\(204\) | 788.547 | + | 287.008i | 0.270634 | + | 0.0985028i | ||||
\(205\) | 3.52736 | + | 2.95980i | 0.00120176 | + | 0.00100840i | ||||
\(206\) | 35.6531 | − | 202.199i | 0.0120586 | − | 0.0683876i | ||||
\(207\) | 30.5018 | − | 172.984i | 0.0102417 | − | 0.0580833i | ||||
\(208\) | 342.787 | + | 593.724i | 0.114269 | + | 0.197920i | ||||
\(209\) | 3416.96 | − | 2867.17i | 1.13089 | − | 0.948931i | ||||
\(210\) | 121.306 | − | 44.1517i | 0.0398614 | − | 0.0145084i | ||||
\(211\) | 1372.18 | − | 2376.69i | 0.447701 | − | 0.775440i | −0.550535 | − | 0.834812i | \(-0.685576\pi\) |
0.998236 | + | 0.0593716i | \(0.0189097\pi\) | |||||||
\(212\) | 887.299 | + | 1536.85i | 0.287452 | + | 0.497882i | ||||
\(213\) | −595.596 | − | 499.765i | −0.191594 | − | 0.160767i | ||||
\(214\) | 289.329 | − | 501.132i | 0.0924211 | − | 0.160078i | ||||
\(215\) | 7.52494 | + | 42.6760i | 0.00238696 | + | 0.0135371i | ||||
\(216\) | 1201.50 | 0.378480 | ||||||||
\(217\) | −44.5298 | − | 252.541i | −0.0139303 | − | 0.0790028i | ||||
\(218\) | 31.2158 | − | 26.1932i | 0.00969817 | − | 0.00813773i | ||||
\(219\) | 1881.53 | + | 684.821i | 0.580558 | + | 0.211306i | ||||
\(220\) | −53.1322 | + | 19.3385i | −0.0162826 | + | 0.00592638i | ||||
\(221\) | 1919.72 | 0.584318 | ||||||||
\(222\) | 700.690 | + | 1987.83i | 0.211834 | + | 0.600966i | ||||
\(223\) | −2861.70 | −0.859343 | −0.429671 | − | 0.902985i | \(-0.641371\pi\) | ||||
−0.429671 | + | 0.902985i | \(0.641371\pi\) | |||||||
\(224\) | −840.371 | + | 305.870i | −0.250668 | + | 0.0912357i | ||||
\(225\) | −594.857 | − | 216.510i | −0.176254 | − | 0.0641511i | ||||
\(226\) | −773.785 | + | 649.283i | −0.227750 | + | 0.191105i | ||||
\(227\) | −221.897 | − | 1258.44i | −0.0648801 | − | 0.367954i | −0.999910 | − | 0.0133857i | \(-0.995739\pi\) |
0.935030 | − | 0.354568i | \(-0.115372\pi\) | |||||||
\(228\) | −2915.18 | −0.846765 | ||||||||
\(229\) | −111.426 | − | 631.930i | −0.0321540 | − | 0.182354i | 0.964501 | − | 0.264079i | \(-0.0850681\pi\) |
−0.996655 | + | 0.0817252i | \(0.973957\pi\) | |||||||
\(230\) | 17.0744 | − | 29.5737i | 0.00489501 | − | 0.00847841i | ||||
\(231\) | 2872.94 | + | 2410.68i | 0.818293 | + | 0.686630i | ||||
\(232\) | 38.6476 | + | 66.9397i | 0.0109368 | + | 0.0189431i | ||||
\(233\) | 940.535 | − | 1629.05i | 0.264448 | − | 0.458038i | −0.702971 | − | 0.711219i | \(-0.748143\pi\) |
0.967419 | + | 0.253181i | \(0.0814768\pi\) | |||||||
\(234\) | 408.613 | − | 148.723i | 0.114153 | − | 0.0415484i | ||||
\(235\) | 94.8504 | − | 79.5889i | 0.0263292 | − | 0.0220928i | ||||
\(236\) | −1573.86 | − | 2726.01i | −0.434109 | − | 0.751899i | ||||
\(237\) | −411.681 | + | 2334.76i | −0.112834 | + | 0.639912i | ||||
\(238\) | −434.850 | + | 2466.15i | −0.118433 | + | 0.671668i | ||||
\(239\) | −2655.50 | − | 2228.23i | −0.718703 | − | 0.603064i | 0.208323 | − | 0.978060i | \(-0.433199\pi\) |
−0.927026 | + | 0.374997i | \(0.877644\pi\) | |||||||
\(240\) | 34.7246 | + | 12.6387i | 0.00933942 | + | 0.00339927i | ||||
\(241\) | 3896.09 | + | 1418.06i | 1.04137 | + | 0.379026i | 0.805398 | − | 0.592734i | \(-0.201952\pi\) |
0.235968 | + | 0.971761i | \(0.424174\pi\) | |||||||
\(242\) | 780.856 | + | 655.216i | 0.207419 | + | 0.174045i | ||||
\(243\) | 243.730 | − | 1382.26i | 0.0643427 | − | 0.364905i | ||||
\(244\) | 542.782 | − | 3078.27i | 0.142410 | − | 0.807647i | ||||
\(245\) | 108.027 | + | 187.108i | 0.0281697 | + | 0.0487913i | ||||
\(246\) | 66.9738 | − | 56.1977i | 0.0173581 | − | 0.0145652i | ||||
\(247\) | −6266.82 | + | 2280.93i | −1.61436 | + | 0.587581i | ||||
\(248\) | 36.7033 | − | 63.5720i | 0.00939784 | − | 0.0162775i | ||||
\(249\) | −2520.30 | − | 4365.28i | −0.641435 | − | 1.11100i | ||||
\(250\) | −188.736 | − | 158.368i | −0.0477467 | − | 0.0400643i | ||||
\(251\) | −3101.40 | + | 5371.78i | −0.779915 | + | 1.35085i | 0.152075 | + | 0.988369i | \(0.451404\pi\) |
−0.931990 | + | 0.362483i | \(0.881929\pi\) | |||||||
\(252\) | 98.4981 | + | 558.610i | 0.0246222 | + | 0.139639i | ||||
\(253\) | 992.093 | 0.246531 | ||||||||
\(254\) | −37.2430 | − | 211.216i | −0.00920014 | − | 0.0521766i | ||||
\(255\) | 79.2663 | − | 66.5123i | 0.0194661 | − | 0.0163340i | ||||
\(256\) | −240.561 | − | 87.5572i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 6718.46 | − | 2445.32i | 1.63068 | − | 0.593520i | 0.645309 | − | 0.763921i | \(-0.276729\pi\) |
0.985375 | + | 0.170401i | \(0.0545063\pi\) | |||||||
\(258\) | 822.788 | 0.198545 | ||||||||
\(259\) | −5478.86 | + | 3089.32i | −1.31444 | + | 0.741162i | ||||
\(260\) | 84.5370 | 0.0201645 | ||||||||
\(261\) | 46.0693 | − | 16.7678i | 0.0109257 | − | 0.00397664i | ||||
\(262\) | 4999.53 | + | 1819.68i | 1.17890 | + | 0.429085i | ||||
\(263\) | 2458.71 | − | 2063.10i | 0.576465 | − | 0.483712i | −0.307319 | − | 0.951607i | \(-0.599432\pi\) |
0.883784 | + | 0.467895i | \(0.154987\pi\) | |||||||
\(264\) | 186.422 | + | 1057.25i | 0.0434602 | + | 0.246475i | ||||
\(265\) | 218.823 | 0.0507252 | ||||||||
\(266\) | −1510.64 | − | 8567.29i | −0.348209 | − | 1.97479i | ||||
\(267\) | 1807.00 | − | 3129.81i | 0.414181 | − | 0.717383i | ||||
\(268\) | −2166.66 | − | 1818.04i | −0.493842 | − | 0.414383i | ||||
\(269\) | 3260.92 | + | 5648.08i | 0.739115 | + | 1.28018i | 0.952894 | + | 0.303303i | \(0.0980894\pi\) |
−0.213779 | + | 0.976882i | \(0.568577\pi\) | |||||||
\(270\) | 74.0774 | − | 128.306i | 0.0166971 | − | 0.0289202i | ||||
\(271\) | −6400.76 | + | 2329.69i | −1.43475 | + | 0.522208i | −0.938290 | − | 0.345849i | \(-0.887591\pi\) |
−0.496464 | + | 0.868057i | \(0.665369\pi\) | |||||||
\(272\) | −549.133 | + | 460.777i | −0.122412 | + | 0.102716i | ||||
\(273\) | −2803.61 | − | 4856.00i | −0.621547 | − | 1.07655i | ||||
\(274\) | −769.523 | + | 4364.18i | −0.169666 | + | 0.962225i | ||||
\(275\) | 620.860 | − | 3521.07i | 0.136143 | − | 0.772104i | ||||
\(276\) | −496.690 | − | 416.772i | −0.108323 | − | 0.0908940i | ||||
\(277\) | 745.696 | + | 271.411i | 0.161749 | + | 0.0588719i | 0.421626 | − | 0.906770i | \(-0.361460\pi\) |
−0.259876 | + | 0.965642i | \(0.583682\pi\) | |||||||
\(278\) | −5136.42 | − | 1869.50i | −1.10814 | − | 0.403329i | ||||
\(279\) | −35.6666 | − | 29.9278i | −0.00765342 | − | 0.00642198i | ||||
\(280\) | −19.1491 | + | 108.600i | −0.00408706 | + | 0.0231789i | ||||
\(281\) | 509.919 | − | 2891.89i | 0.108253 | − | 0.613936i | −0.881617 | − | 0.471965i | \(-0.843545\pi\) |
0.989871 | − | 0.141971i | \(-0.0453439\pi\) | |||||||
\(282\) | −1175.47 | − | 2035.97i | −0.248220 | − | 0.429930i | ||||
\(283\) | −1957.19 | + | 1642.28i | −0.411106 | + | 0.344959i | −0.824768 | − | 0.565472i | \(-0.808694\pi\) |
0.413661 | + | 0.910431i | \(0.364250\pi\) | |||||||
\(284\) | 624.116 | − | 227.160i | 0.130403 | − | 0.0474629i | ||||
\(285\) | −179.733 | + | 311.307i | −0.0373560 | + | 0.0647025i | ||||
\(286\) | 1227.99 | + | 2126.94i | 0.253889 | + | 0.439749i | ||||
\(287\) | 199.863 | + | 167.705i | 0.0411064 | + | 0.0344923i | ||||
\(288\) | −81.1862 | + | 140.619i | −0.0166109 | + | 0.0287710i | ||||
\(289\) | −504.574 | − | 2861.58i | −0.102702 | − | 0.582450i | ||||
\(290\) | 9.53116 | 0.00192996 | ||||||||
\(291\) | −163.502 | − | 927.269i | −0.0329371 | − | 0.186795i | ||||
\(292\) | −1310.27 | + | 1099.45i | −0.262595 | + | 0.220344i | ||||
\(293\) | 6676.70 | + | 2430.12i | 1.33125 | + | 0.484536i | 0.907047 | − | 0.421030i | \(-0.138331\pi\) |
0.424205 | + | 0.905566i | \(0.360554\pi\) | |||||||
\(294\) | 3854.81 | − | 1403.03i | 0.764683 | − | 0.278322i | ||||
\(295\) | −388.141 | −0.0766049 | ||||||||
\(296\) | −1769.87 | − | 330.678i | −0.347539 | − | 0.0649334i | ||||
\(297\) | 4304.20 | 0.840927 | ||||||||
\(298\) | −5166.72 | + | 1880.53i | −1.00436 | + | 0.365558i | ||||
\(299\) | −1393.84 | − | 507.316i | −0.269592 | − | 0.0981233i | ||||
\(300\) | −1790.01 | + | 1502.00i | −0.344488 | + | 0.289060i | ||||
\(301\) | 426.369 | + | 2418.06i | 0.0816461 | + | 0.463038i | ||||
\(302\) | 5607.39 | 1.06844 | ||||||||
\(303\) | −1126.94 | − | 6391.21i | −0.213667 | − | 1.21177i | ||||
\(304\) | 1245.14 | − | 2156.64i | 0.234913 | − | 0.406881i | ||||
\(305\) | −295.258 | − | 247.751i | −0.0554309 | − | 0.0465121i | ||||
\(306\) | 227.335 | + | 393.756i | 0.0424702 | + | 0.0735605i | ||||
\(307\) | 1670.66 | − | 2893.66i | 0.310584 | − | 0.537948i | −0.667905 | − | 0.744247i | \(-0.732809\pi\) |
0.978489 | + | 0.206299i | \(0.0661419\pi\) | |||||||
\(308\) | −3010.51 | + | 1095.74i | −0.556948 | + | 0.202712i | ||||
\(309\) | −368.238 | + | 308.989i | −0.0677940 | + | 0.0568859i | ||||
\(310\) | −4.52583 | − | 7.83897i | −0.000829193 | − | 0.00143620i | ||||
\(311\) | −1501.76 | + | 8516.88i | −0.273816 | + | 1.55289i | 0.468882 | + | 0.883261i | \(0.344657\pi\) |
−0.742698 | + | 0.669627i | \(0.766454\pi\) | |||||||
\(312\) | 278.723 | − | 1580.72i | 0.0505756 | − | 0.286828i | ||||
\(313\) | 1539.85 | + | 1292.09i | 0.278075 | + | 0.233333i | 0.771149 | − | 0.636655i | \(-0.219682\pi\) |
−0.493074 | + | 0.869987i | \(0.664127\pi\) | |||||||
\(314\) | 2557.90 | + | 930.998i | 0.459715 | + | 0.167323i | ||||
\(315\) | 65.7258 | + | 23.9222i | 0.0117563 | + | 0.00427894i | ||||
\(316\) | −1551.41 | − | 1301.79i | −0.276182 | − | 0.231745i | ||||
\(317\) | −432.002 | + | 2450.01i | −0.0765415 | + | 0.434089i | 0.922322 | + | 0.386423i | \(0.126289\pi\) |
−0.998863 | + | 0.0476659i | \(0.984822\pi\) | |||||||
\(318\) | 721.470 | − | 4091.66i | 0.127227 | − | 0.721537i | ||||
\(319\) | 138.450 | + | 239.802i | 0.0243000 | + | 0.0420889i | ||||
\(320\) | −24.1817 | + | 20.2908i | −0.00422437 | + | 0.00354466i | ||||
\(321\) | −1273.08 | + | 463.364i | −0.221360 | + | 0.0805683i | ||||
\(322\) | 967.449 | − | 1675.67i | 0.167434 | − | 0.290005i | ||||
\(323\) | −3486.59 | − | 6038.95i | −0.600616 | − | 1.04030i | ||||
\(324\) | −1735.09 | − | 1455.92i | −0.297513 | − | 0.249643i | ||||
\(325\) | −2672.81 | + | 4629.44i | −0.456187 | + | 0.790139i | ||||
\(326\) | −1119.30 | − | 6347.85i | −0.190160 | − | 1.07845i | ||||
\(327\) | −95.4045 | −0.0161342 | ||||||||
\(328\) | 12.9689 | + | 73.5503i | 0.00218319 | + | 0.0123815i | ||||
\(329\) | 5374.30 | − | 4509.57i | 0.900591 | − | 0.755686i | ||||
\(330\) | 124.396 | + | 45.2764i | 0.0207508 | + | 0.00755268i | ||||
\(331\) | 8712.50 | − | 3171.09i | 1.44677 | − | 0.526583i | 0.505086 | − | 0.863069i | \(-0.331461\pi\) |
0.941688 | + | 0.336487i | \(0.109239\pi\) | |||||||
\(332\) | 4305.90 | 0.711797 | ||||||||
\(333\) | −401.485 | + | 1069.10i | −0.0660698 | + | 0.175934i | ||||
\(334\) | −3802.26 | −0.622905 | ||||||||
\(335\) | −327.729 | + | 119.284i | −0.0534500 | + | 0.0194542i | ||||
\(336\) | 1967.52 | + | 716.119i | 0.319455 | + | 0.116272i | ||||
\(337\) | −7867.45 | + | 6601.58i | −1.27171 | + | 1.06709i | −0.277383 | + | 0.960759i | \(0.589467\pi\) |
−0.994330 | + | 0.106335i | \(0.966088\pi\) | |||||||
\(338\) | 125.380 | + | 711.067i | 0.0201769 | + | 0.114429i | ||||
\(339\) | 2364.91 | 0.378892 | ||||||||
\(340\) | 15.3492 | + | 87.0498i | 0.00244832 | + | 0.0138851i | ||||
\(341\) | 131.485 | − | 227.738i | 0.0208806 | − | 0.0361663i | ||||
\(342\) | −1209.97 | − | 1015.28i | −0.191309 | − | 0.160527i | ||||
\(343\) | 1327.97 | + | 2300.11i | 0.209048 | + | 0.362082i | ||||
\(344\) | −351.431 | + | 608.696i | −0.0550811 | + | 0.0954032i | ||||
\(345\) | −75.1294 | + | 27.3449i | −0.0117241 | + | 0.00426724i | ||||
\(346\) | −4463.19 | + | 3745.06i | −0.693475 | + | 0.581895i | ||||
\(347\) | 539.684 | + | 934.759i | 0.0834920 | + | 0.144612i | 0.904748 | − | 0.425948i | \(-0.140059\pi\) |
−0.821256 | + | 0.570560i | \(0.806726\pi\) | |||||||
\(348\) | 31.4247 | − | 178.218i | 0.00484064 | − | 0.0274526i | ||||
\(349\) | −1379.62 | + | 7824.19i | −0.211602 | + | 1.20005i | 0.675105 | + | 0.737722i | \(0.264099\pi\) |
−0.886707 | + | 0.462333i | \(0.847013\pi\) | |||||||
\(350\) | −5341.74 | − | 4482.26i | −0.815795 | − | 0.684533i | ||||
\(351\) | −6047.19 | − | 2201.00i | −0.919587 | − | 0.334702i | ||||
\(352\) | −861.778 | − | 313.661i | −0.130491 | − | 0.0474949i | ||||
\(353\) | −8311.31 | − | 6974.02i | −1.25316 | − | 1.05153i | −0.996376 | − | 0.0850601i | \(-0.972892\pi\) |
−0.256787 | − | 0.966468i | \(-0.582664\pi\) | |||||||
\(354\) | −1279.72 | + | 7257.66i | −0.192137 | + | 1.08966i | ||||
\(355\) | 14.2214 | − | 80.6536i | 0.00212618 | − | 0.0120582i | ||||
\(356\) | 1543.61 | + | 2673.62i | 0.229807 | + | 0.398038i | ||||
\(357\) | 4491.29 | − | 3768.64i | 0.665838 | − | 0.558705i | ||||
\(358\) | 5751.86 | − | 2093.51i | 0.849149 | − | 0.309065i | ||||
\(359\) | −5169.55 | + | 8953.93i | −0.759996 | + | 1.31635i | 0.182856 | + | 0.983140i | \(0.441466\pi\) |
−0.942852 | + | 0.333212i | \(0.891867\pi\) | |||||||
\(360\) | 10.0109 | + | 17.3395i | 0.00146562 | + | 0.00253853i | ||||
\(361\) | 13302.7 | + | 11162.3i | 1.93945 | + | 1.62739i | ||||
\(362\) | 271.346 | − | 469.985i | 0.0393967 | − | 0.0682371i | ||||
\(363\) | −414.415 | − | 2350.26i | −0.0599205 | − | 0.339826i | ||||
\(364\) | 4789.93 | 0.689727 | ||||||||
\(365\) | 36.6244 | + | 207.707i | 0.00525208 | + | 0.0297860i | ||||
\(366\) | −5606.06 | + | 4704.04i | −0.800637 | + | 0.671814i | ||||
\(367\) | 781.523 | + | 284.451i | 0.111159 | + | 0.0404584i | 0.397001 | − | 0.917818i | \(-0.370051\pi\) |
−0.285842 | + | 0.958277i | \(0.592273\pi\) | |||||||
\(368\) | 520.474 | − | 189.437i | 0.0737271 | − | 0.0268345i | ||||
\(369\) | 47.3702 | 0.00668291 | ||||||||
\(370\) | −144.433 | + | 168.614i | −0.0202938 | + | 0.0236914i | ||||
\(371\) | 12398.7 | 1.73506 | ||||||||
\(372\) | −161.499 | + | 58.7808i | −0.0225089 | + | 0.00819259i | ||||
\(373\) | 8896.55 | + | 3238.08i | 1.23498 | + | 0.449494i | 0.875299 | − | 0.483582i | \(-0.160665\pi\) |
0.359677 | + | 0.933077i | \(0.382887\pi\) | |||||||
\(374\) | −1967.19 | + | 1650.67i | −0.271982 | + | 0.228220i | ||||
\(375\) | 100.166 | + | 568.067i | 0.0137934 | + | 0.0782263i | ||||
\(376\) | 2008.27 | 0.275449 | ||||||||
\(377\) | −71.8898 | − | 407.707i | −0.00982099 | − | 0.0556976i | ||||
\(378\) | 4197.29 | − | 7269.91i | 0.571125 | − | 0.989217i | ||||
\(379\) | 11027.9 | + | 9253.55i | 1.49464 | + | 1.25415i | 0.888574 | + | 0.458734i | \(0.151697\pi\) |
0.606064 | + | 0.795416i | \(0.292748\pi\) | |||||||
\(380\) | −153.536 | − | 265.932i | −0.0207269 | − | 0.0359000i | ||||
\(381\) | −251.069 | + | 434.864i | −0.0337603 | + | 0.0584745i | ||||
\(382\) | −7524.36 | + | 2738.64i | −1.00780 | + | 0.366810i | ||||
\(383\) | 378.774 | − | 317.829i | 0.0505338 | − | 0.0424029i | −0.617171 | − | 0.786829i | \(-0.711721\pi\) |
0.667705 | + | 0.744426i | \(0.267277\pi\) | |||||||
\(384\) | 299.680 | + | 519.062i | 0.0398255 | + | 0.0689798i | ||||
\(385\) | −68.5990 | + | 389.044i | −0.00908085 | + | 0.0515001i | ||||
\(386\) | −393.747 | + | 2233.05i | −0.0519202 | + | 0.294454i | ||||
\(387\) | 341.504 | + | 286.556i | 0.0448570 | + | 0.0376395i | ||||
\(388\) | 755.826 | + | 275.098i | 0.0988949 | + | 0.0359948i | ||||
\(389\) | 2467.31 | + | 898.027i | 0.321587 | + | 0.117048i | 0.497770 | − | 0.867309i | \(-0.334153\pi\) |
−0.176182 | + | 0.984358i | \(0.556375\pi\) | |||||||
\(390\) | −151.617 | − | 127.222i | −0.0196858 | − | 0.0165183i | ||||
\(391\) | 269.319 | − | 1527.38i | 0.0348339 | − | 0.197553i | ||||
\(392\) | −608.511 | + | 3451.04i | −0.0784042 | + | 0.444653i | ||||
\(393\) | −6228.19 | − | 10787.5i | −0.799416 | − | 1.38463i | ||||
\(394\) | −1290.31 | + | 1082.69i | −0.164986 | + | 0.138440i | ||||
\(395\) | −234.667 | + | 85.4117i | −0.0298920 | + | 0.0108798i | ||||
\(396\) | −290.839 | + | 503.747i | −0.0369070 | + | 0.0639249i | ||||
\(397\) | −5654.19 | − | 9793.34i | −0.714800 | − | 1.23807i | −0.963037 | − | 0.269371i | \(-0.913184\pi\) |
0.248236 | − | 0.968699i | \(-0.420149\pi\) | |||||||
\(398\) | 7524.37 | + | 6313.69i | 0.947644 | + | 0.795168i | ||||
\(399\) | −10183.8 | + | 17638.9i | −1.27777 | + | 2.21315i | ||||
\(400\) | −346.620 | − | 1965.78i | −0.0433276 | − | 0.245723i | ||||
\(401\) | 637.456 | 0.0793842 | 0.0396921 | − | 0.999212i | \(-0.487362\pi\) | ||||
0.0396921 | + | 0.999212i | \(0.487362\pi\) | |||||||
\(402\) | 1149.89 | + | 6521.33i | 0.142664 | + | 0.809090i | ||||
\(403\) | −301.185 | + | 252.724i | −0.0372285 | + | 0.0312385i | ||||
\(404\) | 5209.53 | + | 1896.12i | 0.641545 | + | 0.233503i | ||||
\(405\) | −262.451 | + | 95.5242i | −0.0322007 | + | 0.0117201i | ||||
\(406\) | 540.043 | 0.0660145 | ||||||||
\(407\) | −6340.32 | − | 1184.61i | −0.772182 | − | 0.144273i | ||||
\(408\) | 1678.31 | 0.203649 | ||||||||
\(409\) | −4408.62 | + | 1604.61i | −0.532989 | + | 0.193992i | −0.594472 | − | 0.804116i | \(-0.702639\pi\) |
0.0614837 | + | 0.998108i | \(0.480417\pi\) | |||||||
\(410\) | 8.65389 | + | 3.14976i | 0.00104240 | + | 0.000379404i | ||||
\(411\) | 7947.92 | − | 6669.10i | 0.953873 | − | 0.800395i | ||||
\(412\) | −71.3062 | − | 404.397i | −0.00852670 | − | 0.0483573i | ||||
\(413\) | −21992.4 | −2.62028 | ||||||||
\(414\) | −61.0036 | − | 345.969i | −0.00724195 | − | 0.0410711i | ||||
\(415\) | 265.477 | − | 459.819i | 0.0314018 | − | 0.0543895i | ||||
\(416\) | 1050.36 | + | 881.357i | 0.123794 | + | 0.103875i | ||||
\(417\) | 6398.72 | + | 11082.9i | 0.751431 | + | 1.30152i | ||||
\(418\) | 4460.53 | − | 7725.86i | 0.521942 | − | 0.904030i | ||||
\(419\) | 1180.52 | − | 429.675i | 0.137643 | − | 0.0500979i | −0.272280 | − | 0.962218i | \(-0.587778\pi\) |
0.409923 | + | 0.912120i | \(0.365556\pi\) | |||||||
\(420\) | 197.779 | − | 165.956i | 0.0229777 | − | 0.0192806i | ||||
\(421\) | −7547.86 | − | 13073.3i | −0.873777 | − | 1.51343i | −0.858060 | − | 0.513550i | \(-0.828330\pi\) |
−0.0157175 | − | 0.999876i | \(-0.505003\pi\) | |||||||
\(422\) | 953.107 | − | 5405.34i | 0.109944 | − | 0.623525i | ||||
\(423\) | 221.190 | − | 1254.43i | 0.0254246 | − | 0.144190i | ||||
\(424\) | 2718.84 | + | 2281.38i | 0.311412 | + | 0.261305i | ||||
\(425\) | −5252.35 | − | 1911.70i | −0.599474 | − | 0.218191i | ||||
\(426\) | −1461.21 | − | 531.838i | −0.166188 | − | 0.0604874i | ||||
\(427\) | −16729.6 | − | 14037.8i | −1.89602 | − | 1.59095i | ||||
\(428\) | 200.966 | − | 1139.73i | 0.0226964 | − | 0.128718i | ||||
\(429\) | 998.486 | − | 5662.70i | 0.112372 | − | 0.637291i | ||||
\(430\) | 43.3344 | + | 75.0573i | 0.00485993 | + | 0.00841764i | ||||
\(431\) | 4713.80 | − | 3955.35i | 0.526811 | − | 0.442047i | −0.340187 | − | 0.940358i | \(-0.610490\pi\) |
0.866999 | + | 0.498310i | \(0.166046\pi\) | |||||||
\(432\) | 2258.08 | − | 821.874i | 0.251486 | − | 0.0915334i | ||||
\(433\) | 2597.66 | − | 4499.27i | 0.288304 | − | 0.499356i | −0.685101 | − | 0.728448i | \(-0.740242\pi\) |
0.973405 | + | 0.229091i | \(0.0735755\pi\) | |||||||
\(434\) | −256.437 | − | 444.162i | −0.0283626 | − | 0.0491255i | ||||
\(435\) | −17.0942 | − | 14.3437i | −0.00188414 | − | 0.00158098i | ||||
\(436\) | 40.7493 | − | 70.5799i | 0.00447601 | − | 0.00775267i | ||||
\(437\) | 935.600 | + | 5306.05i | 0.102416 | + | 0.580830i | ||||
\(438\) | 4004.57 | 0.436862 | ||||||||
\(439\) | −2367.91 | − | 13429.1i | −0.257435 | − | 1.45999i | −0.789743 | − | 0.613437i | \(-0.789786\pi\) |
0.532308 | − | 0.846551i | \(-0.321325\pi\) | |||||||
\(440\) | −86.6276 | + | 72.6892i | −0.00938593 | + | 0.00787573i | ||||
\(441\) | 2088.61 | + | 760.191i | 0.225527 | + | 0.0820852i | ||||
\(442\) | 3607.89 | − | 1313.17i | 0.388258 | − | 0.141314i | ||||
\(443\) | 5775.26 | 0.619393 | 0.309696 | − | 0.950836i | \(-0.399773\pi\) | ||||
0.309696 | + | 0.950836i | \(0.399773\pi\) | |||||||
\(444\) | 2676.62 | + | 3256.60i | 0.286097 | + | 0.348089i | ||||
\(445\) | 380.681 | 0.0405529 | ||||||||
\(446\) | −5378.23 | + | 1957.52i | −0.571001 | + | 0.207828i | ||||
\(447\) | 12096.6 | + | 4402.80i | 1.27998 | + | 0.465874i | ||||
\(448\) | −1370.15 | + | 1149.69i | −0.144495 | + | 0.121245i | ||||
\(449\) | −2941.38 | − | 16681.4i | −0.309159 | − | 1.75333i | −0.603252 | − | 0.797551i | \(-0.706129\pi\) |
0.294093 | − | 0.955777i | \(-0.404983\pi\) | |||||||
\(450\) | −1266.07 | −0.132629 | ||||||||
\(451\) | 46.4593 | + | 263.484i | 0.00485074 | + | 0.0275099i | ||||
\(452\) | −1010.10 | + | 1749.55i | −0.105114 | + | 0.182062i | ||||
\(453\) | −10056.9 | − | 8438.72i | −1.04308 | − | 0.875245i | ||||
\(454\) | −1277.85 | − | 2213.30i | −0.132098 | − | 0.228801i | ||||
\(455\) | 295.319 | − | 511.508i | 0.0304281 | − | 0.0527030i | ||||
\(456\) | −5478.75 | + | 1994.10i | −0.562644 | + | 0.204786i | ||||
\(457\) | 486.384 | − | 408.125i | 0.0497857 | − | 0.0417752i | −0.617555 | − | 0.786527i | \(-0.711877\pi\) |
0.667341 | + | 0.744752i | \(0.267432\pi\) | |||||||
\(458\) | −641.679 | − | 1111.42i | −0.0654665 | − | 0.113391i | ||||
\(459\) | 1168.44 | − | 6626.56i | 0.118820 | − | 0.673860i | ||||
\(460\) | 11.8598 | − | 67.2600i | 0.00120210 | − | 0.00681743i | ||||
\(461\) | −5113.60 | − | 4290.82i | −0.516625 | − | 0.433500i | 0.346828 | − | 0.937929i | \(-0.387259\pi\) |
−0.863453 | + | 0.504429i | \(0.831703\pi\) | |||||||
\(462\) | 7048.37 | + | 2565.40i | 0.709783 | + | 0.258340i | ||||
\(463\) | −10894.8 | − | 3965.37i | −1.09357 | − | 0.398027i | −0.268628 | − | 0.963244i | \(-0.586570\pi\) |
−0.824942 | + | 0.565217i | \(0.808792\pi\) | |||||||
\(464\) | 118.423 | + | 99.3689i | 0.0118484 | + | 0.00994199i | ||||
\(465\) | −3.67999 | + | 20.8703i | −0.000367001 | + | 0.00208137i | ||||
\(466\) | 653.289 | − | 3704.98i | 0.0649421 | − | 0.368305i | ||||
\(467\) | −917.776 | − | 1589.63i | −0.0909414 | − | 0.157515i | 0.816966 | − | 0.576686i | \(-0.195654\pi\) |
−0.907907 | + | 0.419171i | \(0.862321\pi\) | |||||||
\(468\) | 666.209 | − | 559.016i | 0.0658024 | − | 0.0552148i | ||||
\(469\) | −18569.4 | + | 6758.70i | −1.82826 | + | 0.665432i | ||||
\(470\) | 123.818 | − | 214.460i | 0.0121517 | − | 0.0210474i | ||||
\(471\) | −3186.51 | − | 5519.20i | −0.311734 | − | 0.539939i | ||||
\(472\) | −4822.59 | − | 4046.64i | −0.470292 | − | 0.394622i | ||||
\(473\) | −1258.95 | + | 2180.57i | −0.122382 | + | 0.211972i | ||||
\(474\) | 823.363 | + | 4669.52i | 0.0797855 | + | 0.452486i | ||||
\(475\) | 19417.4 | 1.87564 | ||||||||
\(476\) | 869.699 | + | 4932.31i | 0.0837449 | + | 0.474941i | ||||
\(477\) | 1724.47 | − | 1447.00i | 0.165531 | − | 0.138897i | ||||
\(478\) | −6514.91 | − | 2371.23i | −0.623399 | − | 0.226899i | ||||
\(479\) | 7197.66 | − | 2619.73i | 0.686575 | − | 0.249893i | 0.0249069 | − | 0.999690i | \(-0.492071\pi\) |
0.661668 | + | 0.749797i | \(0.269849\pi\) | |||||||
\(480\) | 73.9062 | 0.00702780 | ||||||||
\(481\) | 8302.06 | + | 4906.50i | 0.786988 | + | 0.465108i | ||||
\(482\) | 8292.27 | 0.783615 | ||||||||
\(483\) | −4256.89 | + | 1549.38i | −0.401025 | + | 0.145961i | ||||
\(484\) | 1915.72 | + | 697.266i | 0.179914 | + | 0.0654833i | ||||
\(485\) | 75.9770 | − | 63.7523i | 0.00711328 | − | 0.00596875i | ||||
\(486\) | −487.459 | − | 2764.52i | −0.0454971 | − | 0.258027i | ||||
\(487\) | 5996.01 | 0.557916 | 0.278958 | − | 0.960303i | \(-0.410011\pi\) | ||||
0.278958 | + | 0.960303i | \(0.410011\pi\) | |||||||
\(488\) | −1085.56 | − | 6156.54i | −0.100699 | − | 0.571093i | ||||
\(489\) | −7545.60 | + | 13069.4i | −0.697799 | + | 1.20862i | ||||
\(490\) | 331.013 | + | 277.753i | 0.0305176 | + | 0.0256073i | ||||
\(491\) | 8487.90 | + | 14701.5i | 0.780150 | + | 1.35126i | 0.931854 | + | 0.362833i | \(0.118190\pi\) |
−0.151705 | + | 0.988426i | \(0.548476\pi\) | |||||||
\(492\) | 87.4281 | − | 151.430i | 0.00801131 | − | 0.0138760i | ||||
\(493\) | 406.773 | − | 148.053i | 0.0371605 | − | 0.0135253i | ||||
\(494\) | −10217.5 | + | 8573.51i | −0.930582 | + | 0.780851i | ||||
\(495\) | 35.8628 | + | 62.1163i | 0.00325639 | + | 0.00564024i | ||||
\(496\) | 25.4939 | − | 144.583i | 0.00230788 | − | 0.0130886i | ||||
\(497\) | 805.796 | − | 4569.90i | 0.0727261 | − | 0.412450i | ||||
\(498\) | −7722.64 | − | 6480.07i | −0.694899 | − | 0.583090i | ||||
\(499\) | −4192.29 | − | 1525.87i | −0.376098 | − | 0.136888i | 0.147053 | − | 0.989129i | \(-0.453021\pi\) |
−0.523151 | + | 0.852240i | \(0.675243\pi\) | |||||||
\(500\) | −463.037 | − | 168.532i | −0.0414153 | − | 0.0150739i | ||||
\(501\) | 6819.36 | + | 5722.12i | 0.608117 | + | 0.510271i | ||||
\(502\) | −2154.21 | + | 12217.1i | −0.191528 | + | 1.08621i | ||||
\(503\) | −2112.28 | + | 11979.3i | −0.187240 | + | 1.06189i | 0.735803 | + | 0.677196i | \(0.236805\pi\) |
−0.923043 | + | 0.384696i | \(0.874306\pi\) | |||||||
\(504\) | 567.228 | + | 982.468i | 0.0501316 | + | 0.0868305i | ||||
\(505\) | 523.672 | − | 439.413i | 0.0461448 | − | 0.0387201i | ||||
\(506\) | 1864.53 | − | 678.632i | 0.163811 | − | 0.0596223i | ||||
\(507\) | 845.235 | − | 1463.99i | 0.0740399 | − | 0.128241i | ||||
\(508\) | −214.474 | − | 371.480i | −0.0187318 | − | 0.0324444i | ||||
\(509\) | −1867.34 | − | 1566.89i | −0.162610 | − | 0.136446i | 0.557852 | − | 0.829941i | \(-0.311626\pi\) |
−0.720462 | + | 0.693495i | \(0.756070\pi\) | |||||||
\(510\) | 103.475 | − | 179.224i | 0.00898420 | − | 0.0155611i | ||||
\(511\) | 2075.17 | + | 11768.8i | 0.179648 | + | 1.01883i | ||||
\(512\) | −512.000 | −0.0441942 | ||||||||
\(513\) | 4059.11 | + | 23020.3i | 0.349345 | + | 1.98123i | ||||
\(514\) | 10953.9 | − | 9191.39i | 0.939989 | − | 0.788745i | ||||
\(515\) | −47.5812 | − | 17.3181i | −0.00407122 | − | 0.00148180i | ||||
\(516\) | 1546.34 | − | 562.820i | 0.131926 | − | 0.0480170i | ||||
\(517\) | 7194.36 | 0.612007 | ||||||||
\(518\) | −8183.66 | + | 9553.78i | −0.694149 | + | 0.810365i | ||||
\(519\) | 13640.8 | 1.15369 | ||||||||
\(520\) | 158.878 | − | 57.8267i | 0.0133985 | − | 0.00487667i | ||||
\(521\) | 6801.50 | + | 2475.54i | 0.571937 | + | 0.208168i | 0.611766 | − | 0.791038i | \(-0.290459\pi\) |
−0.0398294 | + | 0.999206i | \(0.512681\pi\) | |||||||
\(522\) | 75.1120 | − | 63.0265i | 0.00629802 | − | 0.00528466i | ||||
\(523\) | −12.2269 | − | 69.3420i | −0.00102226 | − | 0.00579754i | 0.984292 | − | 0.176546i | \(-0.0564925\pi\) |
−0.985315 | + | 0.170749i | \(0.945381\pi\) | |||||||
\(524\) | 10640.8 | 0.887108 | ||||||||
\(525\) | 2834.96 | + | 16077.9i | 0.235672 | + | 1.33656i | ||||
\(526\) | 3209.61 | − | 5559.22i | 0.266057 | − | 0.460824i | ||||
\(527\) | −314.922 | − | 264.251i | −0.0260308 | − | 0.0218424i | ||||
\(528\) | 1073.56 | + | 1859.47i | 0.0884865 | + | 0.153263i | ||||
\(529\) | 5484.32 | − | 9499.12i | 0.450754 | − | 0.780729i | ||||
\(530\) | 411.252 | − | 149.684i | 0.0337050 | − | 0.0122676i | ||||
\(531\) | −3058.82 | + | 2566.65i | −0.249984 | + | 0.209761i | ||||
\(532\) | −8699.46 | − | 15067.9i | −0.708965 | − | 1.22796i | ||||
\(533\) | 69.4620 | − | 393.938i | 0.00564490 | − | 0.0320138i | ||||
\(534\) | 1255.13 | − | 7118.18i | 0.101713 | − | 0.576842i | ||||
\(535\) | −109.320 | − | 91.7301i | −0.00883421 | − | 0.00741279i | ||||
\(536\) | −5315.60 | − | 1934.72i | −0.428356 | − | 0.155909i | ||||
\(537\) | −13466.6 | − | 4901.43i | −1.08217 | − | 0.393877i | ||||
\(538\) | 9992.05 | + | 8384.32i | 0.800721 | + | 0.671884i | ||||
\(539\) | −2179.91 | + | 12362.9i | −0.174203 | + | 0.987953i | ||||
\(540\) | 51.4537 | − | 291.808i | 0.00410039 | − | 0.0232545i | ||||
\(541\) | 1626.58 | + | 2817.32i | 0.129265 | + | 0.223893i | 0.923392 | − | 0.383859i | \(-0.125405\pi\) |
−0.794127 | + | 0.607751i | \(0.792072\pi\) | |||||||
\(542\) | −10435.9 | + | 8756.75i | −0.827048 | + | 0.693976i | ||||
\(543\) | −1193.95 | + | 434.563i | −0.0943599 | + | 0.0343442i | ||||
\(544\) | −716.842 | + | 1241.61i | −0.0564970 | + | 0.0978556i | ||||
\(545\) | −5.02474 | − | 8.70310i | −0.000394928 | − | 0.000684036i | ||||
\(546\) | −8590.76 | − | 7208.50i | −0.673353 | − | 0.565010i | ||||
\(547\) | 8152.83 | − | 14121.1i | 0.637276 | − | 1.10379i | −0.348752 | − | 0.937215i | \(-0.613394\pi\) |
0.986028 | − | 0.166580i | \(-0.0532723\pi\) | |||||||
\(548\) | 1539.05 | + | 8728.36i | 0.119972 | + | 0.680396i | ||||
\(549\) | −3965.13 | −0.308247 | ||||||||
\(550\) | −1241.72 | − | 7042.14i | −0.0962675 | − | 0.545960i | ||||
\(551\) | −1151.98 | + | 966.624i | −0.0890669 | + | 0.0747360i | ||||
\(552\) | −1218.56 | − | 443.520i | −0.0939590 | − | 0.0341983i | ||||
\(553\) | −13296.4 | + | 4839.49i | −1.02246 | + | 0.372145i | ||||
\(554\) | 1587.11 | 0.121714 | ||||||||
\(555\) | 512.792 | − | 85.0486i | 0.0392195 | − | 0.00650470i | ||||
\(556\) | −10932.1 | −0.833859 | ||||||||
\(557\) | −9326.62 | + | 3394.61i | −0.709482 | + | 0.258230i | −0.671454 | − | 0.741046i | \(-0.734330\pi\) |
−0.0380280 | + | 0.999277i | \(0.512108\pi\) | |||||||
\(558\) | −87.5032 | − | 31.8485i | −0.00663854 | − | 0.00241623i | ||||
\(559\) | 2883.82 | − | 2419.81i | 0.218198 | − | 0.183090i | ||||
\(560\) | 38.2982 | + | 217.200i | 0.00288999 | + | 0.0163899i | ||||
\(561\) | 6012.31 | 0.452478 | ||||||||
\(562\) | −1019.84 | − | 5783.79i | −0.0765467 | − | 0.434118i | ||||
\(563\) | 8103.13 | − | 14035.0i | 0.606583 | − | 1.05063i | −0.385216 | − | 0.922826i | \(-0.625873\pi\) |
0.991799 | − | 0.127806i | \(-0.0407936\pi\) | |||||||
\(564\) | −3601.84 | − | 3022.30i | −0.268909 | − | 0.225642i | ||||
\(565\) | 124.554 | + | 215.735i | 0.00927441 | + | 0.0160638i | ||||
\(566\) | −2554.93 | + | 4425.28i | −0.189738 | + | 0.328637i | ||||
\(567\) | −14870.7 | + | 5412.48i | −1.10143 | + | 0.400887i | ||||
\(568\) | 1017.57 | − | 853.841i | 0.0751694 | − | 0.0630746i | ||||
\(569\) | 1998.83 | + | 3462.07i | 0.147268 | + | 0.255075i | 0.930217 | − | 0.367011i | \(-0.119619\pi\) |
−0.782949 | + | 0.622086i | \(0.786285\pi\) | |||||||
\(570\) | −124.841 | + | 708.010i | −0.00917373 | + | 0.0520268i | ||||
\(571\) | −632.906 | + | 3589.39i | −0.0463858 | + | 0.263067i | −0.999177 | − | 0.0405588i | \(-0.987086\pi\) |
0.952791 | + | 0.303626i | \(0.0981973\pi\) | |||||||
\(572\) | 3762.77 | + | 3157.34i | 0.275051 | + | 0.230795i | ||||
\(573\) | 17616.4 | + | 6411.86i | 1.28436 | + | 0.467468i | ||||
\(574\) | 490.336 | + | 178.468i | 0.0356554 | + | 0.0129775i | ||||
\(575\) | 3308.35 | + | 2776.03i | 0.239944 | + | 0.201337i | ||||
\(576\) | −56.3914 | + | 319.811i | −0.00407924 | + | 0.0231345i | ||||
\(577\) | 857.874 | − | 4865.24i | 0.0618956 | − | 0.351027i | −0.938094 | − | 0.346382i | \(-0.887410\pi\) |
0.999989 | − | 0.00464547i | \(-0.00147870\pi\) | |||||||
\(578\) | −2905.72 | − | 5032.86i | −0.209104 | − | 0.362179i | ||||
\(579\) | 4066.77 | − | 3412.43i | 0.291898 | − | 0.244932i | ||||
\(580\) | 17.9127 | − | 6.51970i | 0.00128239 | − | 0.000466751i | ||||
\(581\) | 15042.1 | − | 26053.7i | 1.07410 | − | 1.86039i | ||||
\(582\) | −941.573 | − | 1630.85i | −0.0670609 | − | 0.116153i | ||||
\(583\) | 9739.87 | + | 8172.72i | 0.691911 | + | 0.580582i | ||||
\(584\) | −1710.44 | + | 2962.57i | −0.121196 | + | 0.209918i | ||||
\(585\) | −18.6217 | − | 105.609i | −0.00131609 | − | 0.00746392i | ||||
\(586\) | 14210.4 | 1.00175 | ||||||||
\(587\) | 3288.39 | + | 18649.4i | 0.231221 | + | 1.31132i | 0.850429 | + | 0.526090i | \(0.176343\pi\) |
−0.619208 | + | 0.785227i | \(0.712546\pi\) | |||||||
\(588\) | 6284.93 | − | 5273.69i | 0.440793 | − | 0.369869i | ||||
\(589\) | 1342.02 | + | 488.455i | 0.0938827 | + | 0.0341705i | ||||
\(590\) | −729.466 | + | 265.504i | −0.0509011 | + | 0.0185265i | ||||
\(591\) | 3943.55 | 0.274477 | ||||||||
\(592\) | −3552.47 | + | 589.191i | −0.246631 | + | 0.0409047i | ||||
\(593\) | −22817.6 | −1.58011 | −0.790057 | − | 0.613033i | \(-0.789949\pi\) | ||||
−0.790057 | + | 0.613033i | \(0.789949\pi\) | |||||||
\(594\) | 8089.26 | − | 2944.25i | 0.558765 | − | 0.203374i | ||||
\(595\) | 580.333 | + | 211.224i | 0.0399854 | + | 0.0145535i | ||||
\(596\) | −8423.90 | + | 7068.49i | −0.578954 | + | 0.485800i | ||||
\(597\) | −3993.32 | − | 22647.3i | −0.273762 | − | 1.55258i | ||||
\(598\) | −2966.59 | −0.202864 | ||||||||
\(599\) | 1280.38 | + | 7261.40i | 0.0873371 | + | 0.495313i | 0.996828 | + | 0.0795889i | \(0.0253608\pi\) |
−0.909491 | + | 0.415724i | \(0.863528\pi\) | |||||||
\(600\) | −2336.70 | + | 4047.28i | −0.158992 | + | 0.275382i | ||||
\(601\) | 17587.2 | + | 14757.4i | 1.19367 | + | 1.00161i | 0.999788 | + | 0.0205873i | \(0.00655361\pi\) |
0.193886 | + | 0.981024i | \(0.437891\pi\) | |||||||
\(602\) | 2455.36 | + | 4252.81i | 0.166234 | + | 0.287926i | ||||
\(603\) | −1793.94 | + | 3107.20i | −0.121153 | + | 0.209842i | ||||
\(604\) | 10538.4 | − | 3835.68i | 0.709939 | − | 0.258397i | ||||
\(605\) | 192.572 | − | 161.587i | 0.0129408 | − | 0.0108586i | ||||
\(606\) | −6489.80 | − | 11240.7i | −0.435033 | − | 0.753500i | ||||
\(607\) | 579.567 | − | 3286.89i | 0.0387544 | − | 0.219787i | −0.959280 | − | 0.282457i | \(-0.908851\pi\) |
0.998034 | + | 0.0626702i | \(0.0199616\pi\) | |||||||
\(608\) | 864.863 | − | 4904.88i | 0.0576888 | − | 0.327170i | ||||
\(609\) | −968.569 | − | 812.726i | −0.0644473 | − | 0.0540777i | ||||
\(610\) | −724.375 | − | 263.651i | −0.0480805 | − | 0.0174999i | ||||
\(611\) | −10107.7 | − | 3678.90i | −0.669253 | − | 0.243588i | ||||
\(612\) | 696.595 | + | 584.512i | 0.0460101 | + | 0.0386070i | ||||
\(613\) | 1050.66 | − | 5958.57i | 0.0692261 | − | 0.392601i | −0.930432 | − | 0.366464i | \(-0.880568\pi\) |
0.999658 | − | 0.0261369i | \(-0.00832059\pi\) | |||||||
\(614\) | 1160.43 | − | 6581.10i | 0.0762720 | − | 0.432560i | ||||
\(615\) | −10.7806 | − | 18.6726i | −0.000706856 | − | 0.00122431i | ||||
\(616\) | −4908.38 | + | 4118.62i | −0.321046 | + | 0.269390i | ||||
\(617\) | −16404.5 | + | 5970.74i | −1.07037 | + | 0.389584i | −0.816316 | − | 0.577606i | \(-0.803987\pi\) |
−0.254056 | + | 0.967189i | \(0.581765\pi\) | |||||||
\(618\) | −480.701 | + | 832.599i | −0.0312891 | + | 0.0541942i | ||||
\(619\) | −5102.08 | − | 8837.06i | −0.331292 | − | 0.573815i | 0.651473 | − | 0.758672i | \(-0.274151\pi\) |
−0.982766 | + | 0.184856i | \(0.940818\pi\) | |||||||
\(620\) | −13.8679 | − | 11.6366i | −0.000898307 | − | 0.000753769i | ||||
\(621\) | −2599.54 | + | 4502.53i | −0.167981 | + | 0.290951i | ||||
\(622\) | 3003.51 | + | 17033.8i | 0.193617 | + | 1.09806i | ||||
\(623\) | 21569.7 | 1.38711 | ||||||||
\(624\) | −557.446 | − | 3161.43i | −0.0357623 | − | 0.202818i | ||||
\(625\) | 11899.6 | − | 9984.95i | 0.761575 | − | 0.639037i | ||||
\(626\) | 3777.81 | + | 1375.01i | 0.241201 | + | 0.0877899i | ||||
\(627\) | −19626.9 | + | 7143.59i | −1.25011 | + | 0.455004i | ||||
\(628\) | 5444.11 | 0.345930 | ||||||||
\(629\) | −3544.95 | + | 9439.70i | −0.224716 | + | 0.598387i | ||||
\(630\) | 139.888 | 0.00884646 | ||||||||
\(631\) | −23310.9 | + | 8484.47i | −1.47067 | + | 0.535280i | −0.948282 | − | 0.317429i | \(-0.897180\pi\) |
−0.522387 | + | 0.852709i | \(0.674958\pi\) | |||||||
\(632\) | −3806.17 | − | 1385.33i | −0.239559 | − | 0.0871924i | ||||
\(633\) | −9844.05 | + | 8260.14i | −0.618113 | + | 0.518659i | ||||
\(634\) | 864.005 | + | 4900.01i | 0.0541230 | + | 0.306947i | ||||
\(635\) | −52.8929 | −0.00330550 | ||||||||
\(636\) | −1442.94 | − | 8183.32i | −0.0899627 | − | 0.510204i | ||||
\(637\) | 9384.53 | − | 16254.5i | 0.583719 | − | 1.01103i | ||||
\(638\) | 424.235 | + | 355.975i | 0.0263254 | + | 0.0220897i | ||||
\(639\) | −421.262 | − | 729.647i | −0.0260796 | − | 0.0451712i | ||||
\(640\) | −31.5670 | + | 54.6756i | −0.00194968 | + | 0.00337694i | ||||
\(641\) | 2272.00 | − | 826.940i | 0.139998 | − | 0.0509550i | −0.271071 | − | 0.962559i | \(-0.587378\pi\) |
0.411069 | + | 0.911604i | \(0.365156\pi\) | |||||||
\(642\) | −2075.65 | + | 1741.68i | −0.127600 | + | 0.107069i | ||||
\(643\) | 7897.41 | + | 13678.7i | 0.484360 | + | 0.838937i | 0.999839 | − | 0.0179661i | \(-0.00571908\pi\) |
−0.515478 | + | 0.856903i | \(0.672386\pi\) | |||||||
\(644\) | 671.983 | − | 3811.01i | 0.0411178 | − | 0.233191i | ||||
\(645\) | 35.2356 | − | 199.831i | 0.00215101 | − | 0.0121990i | ||||
\(646\) | −10683.5 | − | 8964.54i | −0.650678 | − | 0.545983i | ||||
\(647\) | −17655.2 | − | 6425.95i | −1.07279 | − | 0.390464i | −0.255572 | − | 0.966790i | \(-0.582264\pi\) |
−0.817220 | + | 0.576326i | \(0.804486\pi\) | |||||||
\(648\) | −4256.82 | − | 1549.35i | −0.258061 | − | 0.0939266i | ||||
\(649\) | −17276.3 | − | 14496.5i | −1.04492 | − | 0.876792i | ||||
\(650\) | −1856.51 | + | 10528.8i | −0.112028 | + | 0.635345i | ||||
\(651\) | −208.511 | + | 1182.53i | −0.0125533 | + | 0.0711933i | ||||
\(652\) | −6445.78 | − | 11164.4i | −0.387172 | − | 0.670601i | ||||
\(653\) | 21716.7 | − | 18222.5i | 1.30144 | − | 1.09204i | 0.311548 | − | 0.950230i | \(-0.399152\pi\) |
0.989894 | − | 0.141809i | \(-0.0452920\pi\) | |||||||
\(654\) | −179.302 | + | 65.2605i | −0.0107206 | + | 0.00390197i | ||||
\(655\) | 656.049 | − | 1136.31i | 0.0391358 | − | 0.0677852i | ||||
\(656\) | 74.6849 | + | 129.358i | 0.00444505 | + | 0.00769906i | ||||
\(657\) | 1662.13 | + | 1394.69i | 0.0986997 | + | 0.0828189i | ||||
\(658\) | 7015.64 | − | 12151.5i | 0.415651 | − | 0.719929i | ||||
\(659\) | −5422.70 | − | 30753.7i | −0.320544 | − | 1.81789i | −0.539299 | − | 0.842114i | \(-0.681311\pi\) |
0.218755 | − | 0.975780i | \(-0.429800\pi\) | |||||||
\(660\) | 264.759 | 0.0156147 | ||||||||
\(661\) | −1686.46 | − | 9564.41i | −0.0992373 | − | 0.562803i | −0.993366 | − | 0.114993i | \(-0.963315\pi\) |
0.894129 | − | 0.447810i | \(-0.147796\pi\) | |||||||
\(662\) | 14205.0 | − | 11919.4i | 0.833976 | − | 0.699789i | ||||
\(663\) | −8446.99 | − | 3074.45i | −0.494802 | − | 0.180093i | ||||
\(664\) | 8092.44 | − | 2945.41i | 0.472963 | − | 0.172144i | ||||
\(665\) | −2145.43 | −0.125107 | ||||||||
\(666\) | −23.2394 | + | 2283.88i | −0.00135211 | + | 0.132880i | ||||
\(667\) | −334.469 | −0.0194163 | ||||||||
\(668\) | −7145.90 | + | 2600.90i | −0.413897 | + | 0.150646i | ||||
\(669\) | 12591.8 | + | 4583.04i | 0.727694 | + | 0.264859i | ||||
\(670\) | −534.334 | + | 448.359i | −0.0308106 | + | 0.0258532i | ||||
\(671\) | −3888.88 | − | 22055.0i | −0.223739 | − | 1.26889i | ||||
\(672\) | 4187.58 | 0.240386 | ||||||||
\(673\) | −413.384 | − | 2344.42i | −0.0236772 | − | 0.134280i | 0.970678 | − | 0.240384i | \(-0.0772734\pi\) |
−0.994355 | + | 0.106104i | \(0.966162\pi\) | |||||||
\(674\) | −10270.2 | + | 17788.6i | −0.586935 | + | 1.01660i | ||||
\(675\) | 14353.3 | + | 12043.8i | 0.818456 | + | 0.686767i | ||||
\(676\) | 722.037 | + | 1250.60i | 0.0410808 | + | 0.0711541i | ||||
\(677\) | −9929.69 | + | 17198.7i | −0.563706 | + | 0.976368i | 0.433462 | + | 0.901172i | \(0.357292\pi\) |
−0.997169 | + | 0.0751963i | \(0.976042\pi\) | |||||||
\(678\) | 4444.58 | − | 1617.69i | 0.251760 | − | 0.0916330i | ||||
\(679\) | 4304.92 | − | 3612.26i | 0.243310 | − | 0.204161i | ||||
\(680\) | 88.3927 | + | 153.101i | 0.00498486 | + | 0.00863403i | ||||
\(681\) | −1039.03 | + | 5892.64i | −0.0584666 | + | 0.331581i | ||||
\(682\) | 91.3283 | − | 517.948i | 0.00512777 | − | 0.0290810i | ||||
\(683\) | 25979.7 | + | 21799.6i | 1.45547 | + | 1.22128i | 0.928464 | + | 0.371422i | \(0.121130\pi\) |
0.527005 | + | 0.849862i | \(0.323315\pi\) | |||||||
\(684\) | −2968.49 | − | 1080.44i | −0.165940 | − | 0.0603972i | ||||
\(685\) | 1026.97 | + | 373.788i | 0.0572827 | + | 0.0208492i | ||||
\(686\) | 4069.13 | + | 3414.40i | 0.226472 | + | 0.190033i | ||||
\(687\) | −521.754 | + | 2959.02i | −0.0289755 | + | 0.164328i | ||||
\(688\) | −244.101 | + | 1384.37i | −0.0135266 | + | 0.0767129i | ||||
\(689\) | −9504.82 | − | 16462.8i | −0.525551 | − | 0.910282i | ||||
\(690\) | −122.492 | + | 102.783i | −0.00675825 | + | 0.00567085i | ||||
\(691\) | −7531.59 | + | 2741.27i | −0.414639 | + | 0.150916i | −0.540912 | − | 0.841079i | \(-0.681921\pi\) |
0.126273 | + | 0.991996i | \(0.459698\pi\) | |||||||
\(692\) | −5826.28 | + | 10091.4i | −0.320060 | + | 0.554361i | ||||
\(693\) | 2032.02 | + | 3519.56i | 0.111385 | + | 0.192925i | ||||
\(694\) | 1653.69 | + | 1387.61i | 0.0904511 | + | 0.0758975i | ||||
\(695\) | −674.012 | + | 1167.42i | −0.0367866 | + | 0.0637163i | ||||
\(696\) | −62.8495 | − | 356.437i | −0.00342285 | − | 0.0194119i | ||||
\(697\) | 418.260 | 0.0227299 | ||||||||
\(698\) | 2759.23 | + | 15648.4i | 0.149625 | + | 0.848567i | ||||
\(699\) | −6747.41 | + | 5661.75i | −0.365108 | + | 0.306362i | ||||
\(700\) | −13105.2 | − | 4769.92i | −0.707616 | − | 0.257551i | ||||
\(701\) | −28697.6 | + | 10445.1i | −1.54621 | + | 0.562775i | −0.967525 | − | 0.252776i | \(-0.918656\pi\) |
−0.578686 | + | 0.815551i | \(0.696434\pi\) | |||||||
\(702\) | −12870.6 | −0.691977 | ||||||||
\(703\) | 356.418 | − | 35027.3i | 0.0191217 | − | 1.87920i | ||||
\(704\) | −1834.17 | −0.0981930 | ||||||||
\(705\) | −544.815 | + | 198.297i | −0.0291049 | + | 0.0105933i | ||||
\(706\) | −20390.7 | − | 7421.59i | −1.08699 | − | 0.395631i | ||||
\(707\) | 29671.7 | − | 24897.5i | 1.57839 | − | 1.32442i | ||||
\(708\) | 2559.44 | + | 14515.3i | 0.135861 | + | 0.770507i | ||||
\(709\) | −2767.87 | −0.146614 | −0.0733071 | − | 0.997309i | \(-0.523355\pi\) | ||||
−0.0733071 | + | 0.997309i | \(0.523355\pi\) | |||||||
\(710\) | −28.4428 | − | 161.307i | −0.00150344 | − | 0.00852641i | ||||
\(711\) | −1284.53 | + | 2224.88i | −0.0677549 | + | 0.117355i | ||||
\(712\) | 4729.91 | + | 3968.87i | 0.248962 | + | 0.208904i | ||||
\(713\) | 158.821 | + | 275.086i | 0.00834208 | + | 0.0144489i | ||||
\(714\) | 5862.96 | − | 10154.9i | 0.307305 | − | 0.532268i | ||||
\(715\) | 569.157 | − | 207.156i | 0.0297696 | − | 0.0108353i | ||||
\(716\) | 9377.92 | − | 7869.01i | 0.489482 | − | 0.410724i | ||||
\(717\) | 8115.98 | + | 14057.3i | 0.422729 | + | 0.732188i | ||||
\(718\) | −3590.73 | + | 20364.1i | −0.186637 | + | 1.05847i | ||||
\(719\) | 2730.16 | − | 15483.5i | 0.141610 | − | 0.803112i | −0.828416 | − | 0.560113i | \(-0.810758\pi\) |
0.970026 | − | 0.242999i | \(-0.0781312\pi\) | |||||||
\(720\) | 30.6753 | + | 25.7397i | 0.00158778 | + | 0.00133231i | ||||
\(721\) | −2695.99 | − | 981.259i | −0.139256 | − | 0.0506852i | ||||
\(722\) | 32636.4 | + | 11878.7i | 1.68227 | + | 0.612297i | ||||
\(723\) | −14872.2 | − | 12479.3i | −0.765012 | − | 0.641921i | ||||
\(724\) | 188.475 | − | 1068.89i | 0.00967488 | − | 0.0548690i | ||||
\(725\) | −209.313 | + | 1187.08i | −0.0107224 | + | 0.0608095i | ||||
\(726\) | −2386.52 | − | 4133.58i | −0.122000 | − | 0.211310i | ||||
\(727\) | −14400.9 | + | 12083.8i | −0.734663 | + | 0.616455i | −0.931398 | − | 0.364001i | \(-0.881410\pi\) |
0.196736 | + | 0.980457i | \(0.436966\pi\) | |||||||
\(728\) | 9002.13 | − | 3276.51i | 0.458298 | − | 0.166807i | ||||
\(729\) | −10930.5 | + | 18932.2i | −0.555329 | + | 0.961858i | ||||
\(730\) | 210.911 | + | 365.309i | 0.0106934 | + | 0.0185215i | ||||
\(731\) | 3015.35 | + | 2530.18i | 0.152567 | + | 0.128019i | ||||
\(732\) | −7318.19 | + | 12675.5i | −0.369519 | + | 0.640026i | ||||
\(733\) | 5172.78 | + | 29336.3i | 0.260656 | + | 1.47826i | 0.781125 | + | 0.624375i | \(0.214646\pi\) |
−0.520468 | + | 0.853881i | \(0.674243\pi\) | |||||||
\(734\) | 1663.36 | 0.0836454 | ||||||||
\(735\) | −175.675 | − | 996.302i | −0.00881614 | − | 0.0499988i | ||||
\(736\) | 848.588 | − | 712.050i | 0.0424992 | − | 0.0356610i | ||||
\(737\) | −19042.4 | − | 6930.86i | −0.951744 | − | 0.346407i | ||||
\(738\) | 89.0269 | − | 32.4031i | 0.00444055 | − | 0.00161623i | ||||
\(739\) | −18373.3 | −0.914580 | −0.457290 | − | 0.889318i | \(-0.651180\pi\) | ||||
−0.457290 | + | 0.889318i | \(0.651180\pi\) | |||||||
\(740\) | −156.106 | + | 415.688i | −0.00775482 | + | 0.0206500i | ||||
\(741\) | 31227.7 | 1.54815 | ||||||||
\(742\) | 23301.9 | − | 8481.19i | 1.15288 | − | 0.419615i | ||||
\(743\) | 17768.0 | + | 6467.02i | 0.877314 | + | 0.319316i | 0.741125 | − | 0.671367i | \(-0.234292\pi\) |
0.136189 | + | 0.990683i | \(0.456515\pi\) | |||||||
\(744\) | −263.310 | + | 220.944i | −0.0129750 | + | 0.0108873i | ||||
\(745\) | 235.463 | + | 1335.38i | 0.0115794 | + | 0.0656703i | ||||
\(746\) | 18935.0 | 0.929304 | ||||||||
\(747\) | −948.498 | − | 5379.20i | −0.0464575 | − | 0.263473i | ||||
\(748\) | −2567.99 | + | 4447.89i | −0.125528 | + | 0.217421i | ||||
\(749\) | −6194.14 | − | 5197.50i | −0.302175 | − | 0.253555i | ||||
\(750\) | 576.830 | + | 999.100i | 0.0280838 | + | 0.0486426i | ||||
\(751\) | −7859.89 | + | 13613.7i | −0.381906 | + | 0.661481i | −0.991335 | − | 0.131360i | \(-0.958066\pi\) |
0.609429 | + | 0.792841i | \(0.291399\pi\) | |||||||
\(752\) | 3774.32 | − | 1373.74i | 0.183025 | − | 0.0666158i | ||||
\(753\) | 22249.5 | − | 18669.5i | 1.07678 | − | 0.903527i | ||||
\(754\) | −413.997 | − | 717.064i | −0.0199959 | − | 0.0346338i | ||||
\(755\) | 240.134 | − | 1361.87i | 0.0115753 | − | 0.0656470i | ||||
\(756\) | 2915.40 | − | 16534.1i | 0.140254 | − | 0.795421i | ||||
\(757\) | 12434.1 | + | 10433.4i | 0.596993 | + | 0.500936i | 0.890477 | − | 0.455027i | \(-0.150371\pi\) |
−0.293485 | + | 0.955964i | \(0.594815\pi\) | |||||||
\(758\) | 27055.6 | + | 9847.42i | 1.29644 | + | 0.471866i | ||||
\(759\) | −4365.33 | − | 1588.85i | −0.208763 | − | 0.0759836i | ||||
\(760\) | −470.461 | − | 394.764i | −0.0224545 | − | 0.0188416i | ||||
\(761\) | 5486.79 | − | 31117.1i | 0.261361 | − | 1.48225i | −0.517839 | − | 0.855478i | \(-0.673264\pi\) |
0.779201 | − | 0.626775i | \(-0.215625\pi\) | |||||||
\(762\) | −174.391 | + | 989.019i | −0.00829070 | + | 0.0470189i | ||||
\(763\) | −284.705 | − | 493.124i | −0.0135086 | − | 0.0233975i | ||||
\(764\) | −12267.8 | + | 10293.9i | −0.580936 | + | 0.487463i | ||||
\(765\) | 105.367 | − | 38.3505i | 0.00497981 | − | 0.00181250i | ||||
\(766\) | 494.455 | − | 856.421i | 0.0233229 | − | 0.0403965i | ||||
\(767\) | 16859.4 | + | 29201.3i | 0.793685 | + | 1.37470i | ||||
\(768\) | 918.274 | + | 770.523i | 0.0431450 | + | 0.0362029i | ||||
\(769\) | −2290.90 | + | 3967.95i | −0.107428 | + | 0.186070i | −0.914727 | − | 0.404071i | \(-0.867595\pi\) |
0.807300 | + | 0.590142i | \(0.200928\pi\) | |||||||
\(770\) | 137.198 | + | 778.088i | 0.00642113 | + | 0.0364160i | ||||
\(771\) | −33478.2 | −1.56380 | ||||||||
\(772\) | 787.495 | + | 4466.10i | 0.0367132 | + | 0.208211i | ||||
\(773\) | −19780.1 | + | 16597.5i | −0.920363 | + | 0.772277i | −0.974062 | − | 0.226281i | \(-0.927343\pi\) |
0.0536988 | + | 0.998557i | \(0.482899\pi\) | |||||||
\(774\) | 837.834 | + | 304.947i | 0.0389087 | + | 0.0141616i | ||||
\(775\) | 1075.71 | − | 391.526i | 0.0498589 | − | 0.0181472i | ||||
\(776\) | 1608.67 | 0.0744172 | ||||||||
\(777\) | 29055.2 | − | 4818.92i | 1.34150 | − | 0.222494i | ||||
\(778\) | 5251.31 | 0.241990 | ||||||||
\(779\) | −1365.39 | + | 496.960i | −0.0627985 | + | 0.0228568i | ||||
\(780\) | −371.973 | − | 135.387i | −0.0170753 | − | 0.00621491i | ||||
\(781\) | 3645.30 | − | 3058.77i | 0.167015 | − | 0.140143i | ||||
\(782\) | −538.638 | − | 3054.77i | −0.0246313 | − | 0.139691i | ||||
\(783\) | −1451.10 | −0.0662298 | ||||||||
\(784\) | 1217.02 | + | 6902.08i | 0.0554402 | + | 0.314417i | ||||
\(785\) | 335.652 | − | 581.367i | 0.0152611 | − | 0.0264330i | ||||
\(786\) | −19084.3 | − | 16013.6i | −0.866048 | − | 0.726701i | ||||
\(787\) | 2564.66 | + | 4442.11i | 0.116163 | + | 0.201200i | 0.918244 | − | 0.396015i | \(-0.129607\pi\) |
−0.802081 | + | 0.597215i | \(0.796274\pi\) | |||||||
\(788\) | −1684.37 | + | 2917.42i | −0.0761464 | + | 0.131889i | ||||
\(789\) | −14122.7 | + | 5140.23i | −0.637238 | + | 0.231936i | ||||
\(790\) | −382.604 | + | 321.043i | −0.0172309 | + | 0.0144585i | ||||
\(791\) | 7057.35 | + | 12223.7i | 0.317232 | + | 0.549462i | ||||
\(792\) | −202.014 | + | 1145.68i | −0.00906347 | + | 0.0514015i | ||||
\(793\) | −5814.33 | + | 32974.7i | −0.260369 | + | 1.47663i | ||||
\(794\) | −17325.4 | − | 14537.8i | −0.774379 | − | 0.649781i | ||||
\(795\) | −962.845 | − | 350.447i | −0.0429542 | − | 0.0156341i | ||||
\(796\) | 18460.0 | + | 6718.89i | 0.821982 | + | 0.299177i | ||||
\(797\) | −22421.1 | − | 18813.5i | −0.996482 | − | 0.836148i | −0.00998866 | − | 0.999950i | \(-0.503180\pi\) |
−0.986493 | + | 0.163803i | \(0.947624\pi\) | |||||||
\(798\) | −7073.60 | + | 40116.4i | −0.313788 | + | 1.77958i | ||||
\(799\) | 1953.02 | − | 11076.1i | 0.0864741 | − | 0.490419i | ||||
\(800\) | −1996.11 | − | 3457.36i | −0.0882163 | − | 0.152795i | ||||
\(801\) | 3000.03 | − | 2517.32i | 0.132336 | − | 0.111043i | ||||
\(802\) | 1198.03 | − | 436.046i | 0.0527478 | − | 0.0191986i | ||||
\(803\) | −6127.41 | + | 10613.0i | −0.269280 | + | 0.466406i | ||||
\(804\) | 6621.93 | + | 11469.5i | 0.290469 | + | 0.503108i | ||||
\(805\) | −365.540 | − | 306.724i | −0.0160045 | − | 0.0134293i | ||||
\(806\) | −393.169 | + | 680.989i | −0.0171821 | + | 0.0297603i | ||||
\(807\) | −5302.97 | − | 30074.6i | −0.231318 | − | 1.31187i | ||||
\(808\) | 11087.7 | 0.482754 | ||||||||
\(809\) | 704.679 | + | 3996.43i | 0.0306245 | + | 0.173680i | 0.996284 | − | 0.0861318i | \(-0.0274506\pi\) |
−0.965659 | + | 0.259812i | \(0.916339\pi\) | |||||||
\(810\) | −427.904 | + | 359.054i | −0.0185617 | + | 0.0155751i | ||||
\(811\) | −13157.4 | − | 4788.90i | −0.569690 | − | 0.207350i | 0.0410835 | − | 0.999156i | \(-0.486919\pi\) |
−0.610773 | + | 0.791806i | \(0.709141\pi\) | |||||||
\(812\) | 1014.95 | − | 369.411i | 0.0438642 | − | 0.0159653i | ||||
\(813\) | 31895.1 | 1.37590 | ||||||||
\(814\) | −12726.2 | + | 2110.70i | −0.547978 | + | 0.0908843i | ||||
\(815\) | −1589.64 | −0.0683221 | ||||||||
\(816\) | 3154.19 | − | 1148.03i | 0.135317 | − | 0.0492514i | ||||
\(817\) | −12849.7 | − | 4676.91i | −0.550249 | − | 0.200274i | ||||
\(818\) | −7187.88 | + | 6031.35i | −0.307235 | + | 0.257801i | ||||
\(819\) | −1055.12 | − | 5983.89i | −0.0450170 | − | 0.255304i | ||||
\(820\) | 18.4186 | 0.000784395 | ||||||||
\(821\) | −6023.33 | − | 34160.0i | −0.256048 | − | 1.45212i | −0.793367 | − | 0.608743i | \(-0.791674\pi\) |
0.537319 | − | 0.843379i | \(-0.319437\pi\) | |||||||
\(822\) | 10375.3 | − | 17970.5i | 0.440242 | − | 0.762522i | ||||
\(823\) | 10626.2 | + | 8916.44i | 0.450068 | + | 0.377652i | 0.839461 | − | 0.543420i | \(-0.182871\pi\) |
−0.389393 | + | 0.921072i | \(0.627315\pi\) | |||||||
\(824\) | −410.636 | − | 711.242i | −0.0173606 | − | 0.0300695i | ||||
\(825\) | −8370.89 | + | 14498.8i | −0.353257 | + | 0.611859i | ||||
\(826\) | −41332.1 | + | 15043.7i | −1.74108 | + | 0.633700i | ||||
\(827\) | −14430.6 | + | 12108.7i | −0.606775 | + | 0.509144i | −0.893615 | − | 0.448834i | \(-0.851839\pi\) |
0.286841 | + | 0.957978i | \(0.407395\pi\) | |||||||
\(828\) | −351.306 | − | 608.480i | −0.0147448 | − | 0.0255388i | ||||
\(829\) | −3154.85 | + | 17892.1i | −0.132174 | + | 0.749598i | 0.844611 | + | 0.535380i | \(0.179832\pi\) |
−0.976786 | + | 0.214218i | \(0.931280\pi\) | |||||||
\(830\) | 184.398 | − | 1045.77i | 0.00771151 | − | 0.0437341i | ||||
\(831\) | −2846.48 | − | 2388.48i | −0.118825 | − | 0.0997058i | ||||
\(832\) | 2576.91 | + | 937.920i | 0.107378 | + | 0.0390824i | ||||
\(833\) | 18441.6 | + | 6712.18i | 0.767062 | + | 0.279188i | ||||
\(834\) | 19606.8 | + | 16452.1i | 0.814063 | + | 0.683080i | ||||
\(835\) | −162.830 | + | 923.454i | −0.00674846 | + | 0.0382724i | ||||
\(836\) | 3098.25 | − | 17571.1i | 0.128176 | − | 0.726923i | ||||
\(837\) | 689.047 | + | 1193.46i | 0.0284551 | + | 0.0492857i | ||||
\(838\) | 1924.74 | − | 1615.05i | 0.0793426 | − | 0.0665764i | ||||
\(839\) | 28734.7 | − | 10458.6i | 1.18240 | − | 0.430358i | 0.325349 | − | 0.945594i | \(-0.394518\pi\) |
0.857048 | + | 0.515236i | \(0.172296\pi\) | |||||||
\(840\) | 258.182 | − | 447.185i | 0.0106049 | − | 0.0183683i | ||||
\(841\) | 12147.8 | + | 21040.6i | 0.498086 | + | 0.862711i | ||||
\(842\) | −23128.0 | − | 19406.7i | −0.946607 | − | 0.794297i | ||||
\(843\) | −6875.10 | + | 11908.0i | −0.280891 | + | 0.486517i | ||||
\(844\) | −1906.21 | − | 10810.7i | −0.0777424 | − | 0.440899i | ||||
\(845\) | 178.066 | 0.00724931 | ||||||||
\(846\) | −442.380 | − | 2508.86i | −0.0179779 | − | 0.101958i | ||||
\(847\) | 10911.3 | − | 9155.66i | 0.442640 | − | 0.371419i | ||||
\(848\) | 6670.30 | + | 2427.79i | 0.270117 | + | 0.0983145i | ||||
\(849\) | 11242.0 | − | 4091.76i | 0.454446 | − | 0.165405i | ||||
\(850\) | −11178.9 | −0.451096 | ||||||||
\(851\) | 5068.45 | − | 5917.02i | 0.204165 | − | 0.238347i | ||||
\(852\) | −3109.98 | −0.125054 | ||||||||
\(853\) | 27056.0 | − | 9847.59i | 1.08603 | − | 0.395281i | 0.263879 | − | 0.964556i | \(-0.414998\pi\) |
0.822148 | + | 0.569274i | \(0.192776\pi\) | |||||||
\(854\) | −41043.7 | − | 14938.7i | −1.64460 | − | 0.598584i | ||||
\(855\) | −298.398 | + | 250.386i | −0.0119357 | + | 0.0100152i | ||||
\(856\) | −401.932 | − | 2279.47i | −0.0160488 | − | 0.0910170i | ||||
\(857\) | 15429.9 | 0.615023 | 0.307511 | − | 0.951544i | \(-0.400504\pi\) | ||||
0.307511 | + | 0.951544i | \(0.400504\pi\) | |||||||
\(858\) | −1996.97 | − | 11325.4i | −0.0794587 | − | 0.450632i | ||||
\(859\) | −10585.0 | + | 18333.7i | −0.420436 | + | 0.728217i | −0.995982 | − | 0.0895523i | \(-0.971456\pi\) |
0.575546 | + | 0.817770i | \(0.304790\pi\) | |||||||
\(860\) | 132.784 | + | 111.419i | 0.00526501 | + | 0.00441786i | ||||
\(861\) | −610.838 | − | 1058.00i | −0.0241781 | − | 0.0418776i | ||||
\(862\) | 6153.43 | − | 10658.1i | 0.243140 | − | 0.421131i | ||||
\(863\) | −3431.66 | + | 1249.02i | −0.135359 | + | 0.0492668i | −0.408812 | − | 0.912619i | \(-0.634057\pi\) |
0.273452 | + | 0.961886i | \(0.411834\pi\) | |||||||
\(864\) | 3681.61 | − | 3089.23i | 0.144966 | − | 0.121641i | ||||
\(865\) | 718.429 | + | 1244.36i | 0.0282397 | + | 0.0489126i | ||||
\(866\) | 1804.31 | − | 10232.8i | 0.0708003 | − | 0.401529i | ||||
\(867\) | −2362.67 | + | 13399.4i | −0.0925495 | + | 0.524874i | ||||
\(868\) | −785.768 | − | 659.338i | −0.0307266 | − | 0.0257827i | ||||
\(869\) | −13635.1 | − | 4962.77i | −0.532266 | − | 0.193729i | ||||
\(870\) | −41.9382 | − | 15.2643i | −0.00163430 | − | 0.000594835i | ||||
\(871\) | 23209.4 | + | 19475.0i | 0.902895 | + | 0.757619i | ||||
\(872\) | 28.3042 | − | 160.521i | 0.00109920 | − | 0.00623386i | ||||
\(873\) | 177.177 | − | 1004.82i | 0.00686890 | − | 0.0389555i | ||||
\(874\) | 5387.91 | + | 9332.13i | 0.208522 | + | 0.361172i | ||||
\(875\) | −2637.30 | + | 2212.95i | −0.101894 | + | 0.0854989i | ||||
\(876\) | 7526.13 | − | 2739.29i | 0.290279 | − | 0.105653i | ||||
\(877\) | 6454.48 | − | 11179.5i | 0.248520 | − | 0.430450i | −0.714595 | − | 0.699538i | \(-0.753389\pi\) |
0.963115 | + | 0.269088i | \(0.0867224\pi\) | |||||||
\(878\) | −13636.2 | − | 23618.7i | −0.524147 | − | 0.907849i | ||||
\(879\) | −25486.4 | − | 21385.6i | −0.977968 | − | 0.820613i | ||||
\(880\) | −113.084 | + | 195.868i | −0.00433190 | + | 0.00750307i | ||||
\(881\) | 561.661 | + | 3185.34i | 0.0214788 | + | 0.121812i | 0.993662 | − | 0.112410i | \(-0.0358569\pi\) |
−0.972183 | + | 0.234222i | \(0.924746\pi\) | |||||||
\(882\) | 4445.30 | 0.169706 | ||||||||
\(883\) | −1384.15 | − | 7849.91i | −0.0527524 | − | 0.299174i | 0.947005 | − | 0.321220i | \(-0.104093\pi\) |
−0.999757 | + | 0.0220464i | \(0.992982\pi\) | |||||||
\(884\) | 5882.36 | − | 4935.89i | 0.223807 | − | 0.187796i | ||||
\(885\) | 1707.87 | + | 621.612i | 0.0648692 | + | 0.0236105i | ||||
\(886\) | 10853.9 | − | 3950.51i | 0.411564 | − | 0.149797i | ||||
\(887\) | −42602.7 | −1.61269 | −0.806347 | − | 0.591443i | \(-0.798558\pi\) | ||||
−0.806347 | + | 0.591443i | \(0.798558\pi\) | |||||||
\(888\) | 7258.05 | + | 4289.49i | 0.274284 | + | 0.162101i | ||||
\(889\) | −2996.95 | −0.113065 | ||||||||
\(890\) | 715.447 | − | 260.401i | 0.0269459 | − | 0.00980750i | ||||
\(891\) | −15249.5 | − | 5550.35i | −0.573374 | − | 0.208691i | ||||
\(892\) | −8768.75 | + | 7357.85i | −0.329147 | + | 0.276187i | ||||
\(893\) | 6784.68 | + | 38477.9i | 0.254245 | + | 1.44190i | ||||
\(894\) | 25745.9 | 0.963167 | ||||||||
\(895\) | −262.129 | − | 1486.61i | −0.00978996 | − | 0.0555216i | ||||
\(896\) | −1788.61 | + | 3097.96i | −0.0666888 | + | 0.115508i | ||||
\(897\) | 5320.59 | + | 4464.50i | 0.198048 | + | 0.166182i | ||||
\(898\) | −16938.7 | − | 29338.8i | −0.629458 | − | 1.09025i | ||||
\(899\) | −44.3280 | + | 76.7784i | −0.00164452 | + | 0.00284839i | ||||
\(900\) | −2379.43 | + | 866.040i | −0.0881269 | + | 0.0320756i | ||||
\(901\) | 15226.4 | − | 12776.5i | 0.563002 | − | 0.472415i | ||||
\(902\) | 267.548 | + | 463.407i | 0.00987626 | + | 0.0171062i | ||||
\(903\) | 1996.47 | − | 11322.6i | 0.0735753 | − | 0.417266i | ||||
\(904\) | −701.611 | + | 3979.04i | −0.0258133 | + | 0.146395i | ||||
\(905\) | −102.525 | − | 86.0287i | −0.00376580 | − | 0.00315988i | ||||
\(906\) | −24673.2 | − | 8980.30i | −0.904759 | − | 0.329305i | ||||
\(907\) | 4533.64 | + | 1650.11i | 0.165972 | + | 0.0604090i | 0.423670 | − | 0.905817i | \(-0.360742\pi\) |
−0.257698 | + | 0.966226i | \(0.582964\pi\) | |||||||
\(908\) | −3915.56 | − | 3285.55i | −0.143109 | − | 0.120082i | ||||
\(909\) | 1221.20 | − | 6925.75i | 0.0445595 | − | 0.252709i | ||||
\(910\) | 205.127 | − | 1163.33i | 0.00747240 | − | 0.0423781i | ||||
\(911\) | 1897.31 | + | 3286.23i | 0.0690018 | + | 0.119515i | 0.898462 | − | 0.439051i | \(-0.144685\pi\) |
−0.829460 | + | 0.558566i | \(0.811352\pi\) | |||||||
\(912\) | −8932.63 | + | 7495.37i | −0.324330 | + | 0.272145i | ||||
\(913\) | 28990.0 | − | 10551.5i | 1.05085 | − | 0.382480i | ||||
\(914\) | 634.929 | − | 1099.73i | 0.0229777 | − | 0.0397985i | ||||
\(915\) | 902.394 | + | 1562.99i | 0.0326035 | + | 0.0564710i | ||||
\(916\) | −1966.22 | − | 1649.85i | −0.0709232 | − | 0.0595116i | ||||
\(917\) | 37172.2 | − | 64384.2i | 1.33864 | − | 2.31860i | ||||
\(918\) | −2336.88 | − | 13253.1i | −0.0840182 | − | 0.476491i | ||||
\(919\) | −6011.42 | −0.215776 | −0.107888 | − | 0.994163i | \(-0.534409\pi\) | ||||
−0.107888 | + | 0.994163i | \(0.534409\pi\) | |||||||
\(920\) | −23.7195 | − | 134.520i | −0.000850010 | − | 0.00482065i | ||||
\(921\) | −11985.3 | + | 10056.9i | −0.428805 | + | 0.359810i | ||||
\(922\) | −12545.5 | − | 4566.20i | −0.448118 | − | 0.163102i | ||||
\(923\) | −6685.59 | + | 2433.36i | −0.238417 | + | 0.0867767i | ||||
\(924\) | 15001.4 | 0.534103 | ||||||||
\(925\) | −17828.4 | − | 21691.5i | −0.633724 | − | 0.771042i | ||||
\(926\) | −23187.9 | −0.822897 | ||||||||
\(927\) | −489.491 | + | 178.160i | −0.0173431 | + | 0.00631235i | ||||
\(928\) | 290.535 | + | 105.746i | 0.0102772 | + | 0.00374061i | ||||
\(929\) | 22577.2 | − | 18944.5i | 0.797346 | − | 0.669052i | −0.150206 | − | 0.988655i | \(-0.547994\pi\) |
0.947552 | + | 0.319602i | \(0.103549\pi\) | |||||||
\(930\) | 7.35998 | + | 41.7405i | 0.000259509 | + | 0.00147175i | ||||
\(931\) | −68176.6 | −2.40000 | ||||||||
\(932\) | −1306.58 | − | 7409.97i | −0.0459210 | − | 0.260431i | ||||
\(933\) | 20247.8 | − | 35070.2i | 0.710485 | − | 1.23060i | ||||
\(934\) | −2812.23 | − | 2359.74i | −0.0985214 | − | 0.0826692i | ||||
\(935\) | 316.655 | + | 548.462i | 0.0110756 | + | 0.0191836i | ||||
\(936\) | 869.674 | − | 1506.32i | 0.0303699 | − | 0.0526022i | ||||
\(937\) | 2590.51 | − | 942.870i | 0.0903184 | − | 0.0328732i | −0.296466 | − | 0.955043i | \(-0.595808\pi\) |
0.386784 | + | 0.922170i | \(0.373586\pi\) | |||||||
\(938\) | −30275.8 | + | 25404.4i | −1.05388 | + | 0.884310i | ||||
\(939\) | −4706.23 | − | 8151.42i | −0.163559 | − | 0.283293i | ||||
\(940\) | 86.0033 | − | 487.749i | 0.00298417 | − | 0.0169241i | ||||
\(941\) | −1347.73 | + | 7643.37i | −0.0466895 | + | 0.264789i | −0.999213 | − | 0.0396771i | \(-0.987367\pi\) |
0.952523 | + | 0.304467i | \(0.0984782\pi\) | |||||||
\(942\) | −9764.04 | − | 8193.00i | −0.337717 | − | 0.283378i | ||||
\(943\) | −303.684 | − | 110.532i | −0.0104871 | − | 0.00381698i | ||||
\(944\) | −11831.6 | − | 4306.34i | −0.407929 | − | 0.148474i | ||||
\(945\) | −1585.90 | − | 1330.73i | −0.0545918 | − | 0.0458080i | ||||
\(946\) | −874.459 | + | 4959.31i | −0.0300540 | + | 0.170445i | ||||
\(947\) | −5793.21 | + | 32854.9i | −0.198790 | + | 1.12739i | 0.708127 | + | 0.706085i | \(0.249540\pi\) |
−0.906917 | + | 0.421309i | \(0.861571\pi\) | |||||||
\(948\) | 4741.56 | + | 8212.62i | 0.162446 | + | 0.281364i | ||||
\(949\) | 14035.7 | − | 11777.4i | 0.480105 | − | 0.402856i | ||||
\(950\) | 36492.8 | − | 13282.3i | 1.24630 | − | 0.453615i | ||||
\(951\) | 5824.57 | − | 10088.5i | 0.198606 | − | 0.343996i | ||||
\(952\) | 5008.40 | + | 8674.80i | 0.170507 | + | 0.295328i | ||||
\(953\) | 19205.2 | + | 16115.0i | 0.652797 | + | 0.547762i | 0.907918 | − | 0.419147i | \(-0.137671\pi\) |
−0.255121 | + | 0.966909i | \(0.582115\pi\) | |||||||
\(954\) | 2251.14 | − | 3899.09i | 0.0763976 | − | 0.132325i | ||||
\(955\) | 342.907 | + | 1944.72i | 0.0116191 | + | 0.0658951i | ||||
\(956\) | −13866.0 | −0.469100 | ||||||||
\(957\) | −225.150 | − | 1276.89i | −0.00760507 | − | 0.0431305i | ||||
\(958\) | 11735.2 | − | 9846.98i | 0.395768 | − | 0.332089i | ||||
\(959\) | 58189.2 | + | 21179.1i | 1.95936 | + | 0.713149i | ||||
\(960\) | 138.898 | − | 50.5548i | 0.00466971 | − | 0.00169964i | ||||
\(961\) | −29706.8 | −0.997174 | ||||||||
\(962\) | 18959.0 | + | 3542.26i | 0.635409 | + | 0.118718i | ||||
\(963\) | −1468.10 | −0.0491264 | ||||||||
\(964\) | 15584.4 | − | 5672.25i | 0.520683 | − | 0.189513i | ||||
\(965\) | 525.480 | + | 191.259i | 0.0175293 | + | 0.00638015i | ||||
\(966\) | −6940.50 | + | 5823.77i | −0.231166 | + | 0.193972i | ||||
\(967\) | −526.654 | − | 2986.80i | −0.0175140 | − | 0.0993269i | 0.974798 | − | 0.223091i | \(-0.0716146\pi\) |
−0.992312 | + | 0.123764i | \(0.960503\pi\) | |||||||
\(968\) | 4077.34 | 0.135383 | ||||||||
\(969\) | 5669.95 | + | 32155.9i | 0.187972 | + | 1.06604i | ||||
\(970\) | 99.1810 | − | 171.787i | 0.00328300 | − | 0.00568632i | ||||
\(971\) | −26474.7 | − | 22214.9i | −0.874990 | − | 0.734203i | 0.0901531 | − | 0.995928i | \(-0.471264\pi\) |
−0.965143 | + | 0.261725i | \(0.915709\pi\) | |||||||
\(972\) | −2807.17 | − | 4862.16i | −0.0926337 | − | 0.160446i | ||||
\(973\) | −38190.0 | + | 66147.0i | −1.25829 | + | 2.17942i | ||||
\(974\) | 11268.8 | − | 4101.51i | 0.370715 | − | 0.134929i | ||||
\(975\) | 19174.8 | − | 16089.6i | 0.629830 | − | 0.528490i | ||||
\(976\) | −6251.51 | − | 10827.9i | −0.205027 | − | 0.355117i | ||||
\(977\) | −6432.32 | + | 36479.5i | −0.210633 | + | 1.19456i | 0.677694 | + | 0.735344i | \(0.262980\pi\) |
−0.888326 | + | 0.459213i | \(0.848132\pi\) | |||||||
\(978\) | −5241.12 | + | 29723.8i | −0.171362 | + | 0.971844i | ||||
\(979\) | 16944.3 | + | 14217.9i | 0.553157 | + | 0.464154i | ||||
\(980\) | 812.095 | + | 295.578i | 0.0264708 | + | 0.00963460i | ||||
\(981\) | −97.1491 | − | 35.3594i | −0.00316181 | − | 0.00115080i | ||||
\(982\) | 26008.4 | + | 21823.7i | 0.845175 | + | 0.709186i | ||||
\(983\) | 6283.93 | − | 35637.9i | 0.203892 | − | 1.15633i | −0.695281 | − | 0.718738i | \(-0.744720\pi\) |
0.899173 | − | 0.437593i | \(-0.144169\pi\) | |||||||
\(984\) | 60.7269 | − | 344.400i | 0.00196738 | − | 0.0111576i | ||||
\(985\) | 207.698 | + | 359.743i | 0.00671857 | + | 0.0116369i | ||||
\(986\) | 663.209 | − | 556.499i | 0.0214208 | − | 0.0179742i | ||||
\(987\) | −30869.7 | + | 11235.6i | −0.995534 | + | 0.362345i | ||||
\(988\) | −13338.0 | + | 23102.1i | −0.429493 | + | 0.743903i | ||||
\(989\) | −1520.70 | − | 2633.93i | −0.0488932 | − | 0.0846855i | ||||
\(990\) | 109.890 | + | 92.2088i | 0.00352782 | + | 0.00296019i | ||||
\(991\) | 956.887 | − | 1657.38i | 0.0306726 | − | 0.0531264i | −0.850282 | − | 0.526328i | \(-0.823568\pi\) |
0.880954 | + | 0.473202i | \(0.156902\pi\) | |||||||
\(992\) | −50.9877 | − | 289.166i | −0.00163192 | − | 0.00925506i | ||||
\(993\) | −43414.5 | −1.38743 | ||||||||
\(994\) | −1611.59 | − | 9139.79i | −0.0514251 | − | 0.291646i | ||||
\(995\) | 1855.64 | − | 1557.06i | 0.0591232 | − | 0.0496103i | ||||
\(996\) | −18946.4 | − | 6895.94i | −0.602752 | − | 0.219384i | ||||
\(997\) | −11440.6 | + | 4164.06i | −0.363419 | + | 0.132274i | −0.517274 | − | 0.855820i | \(-0.673053\pi\) |
0.153855 | + | 0.988093i | \(0.450831\pi\) | |||||||
\(998\) | −8922.69 | −0.283009 | ||||||||
\(999\) | 21989.5 | − | 25671.0i | 0.696414 | − | 0.813009i |
(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 | 74.4.f.a.7.1 | ✓ | 24 | |
37.16 | even | 9 | inner | 74.4.f.a.53.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.a.7.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
74.4.f.a.53.1 | yes | 24 | 37.16 | even | 9 | inner |