Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,4,Mod(4,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.j (of order \(6\), degree \(2\), 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: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 34.1 | ||
Character | \(\chi\) | \(=\) | 45.34 |
Dual form | 45.4.j.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.37720 | − | 2.52718i | −1.54757 | − | 0.893492i | −0.998326 | − | 0.0578315i | \(-0.981581\pi\) |
−0.549247 | − | 0.835660i | \(-0.685085\pi\) | |||||||
\(3\) | 5.16592 | − | 0.559681i | 0.994182 | − | 0.107711i | ||||
\(4\) | 8.77324 | + | 15.1957i | 1.09665 | + | 1.89946i | ||||
\(5\) | −3.07459 | + | 10.7493i | −0.274999 | + | 0.961444i | ||||
\(6\) | −24.0267 | − | 10.6054i | −1.63481 | − | 0.721604i | ||||
\(7\) | 18.1967 | + | 10.5059i | 0.982529 | + | 0.567263i | 0.903033 | − | 0.429572i | \(-0.141336\pi\) |
0.0794959 | + | 0.996835i | \(0.474669\pi\) | |||||||
\(8\) | − | 48.2513i | − | 2.13243i | ||||||
\(9\) | 26.3735 | − | 5.78253i | 0.976797 | − | 0.214168i | ||||
\(10\) | 40.6234 | − | 39.2817i | 1.28462 | − | 1.24220i | ||||
\(11\) | 14.2815 | − | 24.7362i | 0.391457 | − | 0.678023i | −0.601185 | − | 0.799110i | \(-0.705305\pi\) |
0.992642 | + | 0.121087i | \(0.0386379\pi\) | |||||||
\(12\) | 53.8266 | + | 73.5896i | 1.29487 | + | 1.77029i | ||||
\(13\) | −8.72122 | + | 5.03520i | −0.186064 | + | 0.107424i | −0.590139 | − | 0.807302i | \(-0.700927\pi\) |
0.404075 | + | 0.914726i | \(0.367594\pi\) | |||||||
\(14\) | −53.1003 | − | 91.9724i | −1.01369 | − | 1.75576i | ||||
\(15\) | −9.86691 | + | 57.2507i | −0.169842 | + | 0.985471i | ||||
\(16\) | −51.7535 | + | 89.6398i | −0.808649 | + | 1.40062i | ||||
\(17\) | 82.7541i | 1.18064i | 0.807171 | + | 0.590318i | \(0.200998\pi\) | ||||
−0.807171 | + | 0.590318i | \(0.799002\pi\) | |||||||
\(18\) | −130.056 | − | 41.3392i | −1.70302 | − | 0.541319i | ||||
\(19\) | −1.91981 | −0.0231807 | −0.0115904 | − | 0.999933i | \(-0.503689\pi\) | ||||
−0.0115904 | + | 0.999933i | \(0.503689\pi\) | |||||||
\(20\) | −190.317 | + | 47.5855i | −2.12781 | + | 0.532022i | ||||
\(21\) | 99.8826 | + | 44.0881i | 1.03791 | + | 0.458134i | ||||
\(22\) | −125.026 | + | 72.1836i | −1.21162 | + | 0.699527i | ||||
\(23\) | 147.712 | − | 85.2818i | 1.33914 | − | 0.773151i | 0.352458 | − | 0.935828i | \(-0.385346\pi\) |
0.986679 | + | 0.162677i | \(0.0520127\pi\) | |||||||
\(24\) | −27.0053 | − | 249.262i | −0.229685 | − | 2.12002i | ||||
\(25\) | −106.094 | − | 66.0991i | −0.848751 | − | 0.528793i | ||||
\(26\) | 50.8993 | 0.383930 | ||||||||
\(27\) | 133.007 | − | 44.6329i | 0.948046 | − | 0.318133i | ||||
\(28\) | 368.682i | 2.48837i | ||||||||
\(29\) | −128.214 | + | 222.074i | −0.820993 | + | 1.42200i | 0.0839514 | + | 0.996470i | \(0.473246\pi\) |
−0.904944 | + | 0.425531i | \(0.860087\pi\) | |||||||
\(30\) | 187.872 | − | 225.662i | 1.14335 | − | 1.37334i | ||||
\(31\) | −24.0262 | − | 41.6147i | −0.139201 | − | 0.241104i | 0.787993 | − | 0.615684i | \(-0.211120\pi\) |
−0.927195 | + | 0.374580i | \(0.877787\pi\) | |||||||
\(32\) | 118.776 | − | 68.5756i | 0.656153 | − | 0.378830i | ||||
\(33\) | 59.9326 | − | 135.779i | 0.316149 | − | 0.716243i | ||||
\(34\) | 209.134 | − | 362.231i | 1.05489 | − | 1.82712i | ||||
\(35\) | −168.878 | + | 163.300i | −0.815587 | + | 0.788650i | ||||
\(36\) | 319.251 | + | 350.032i | 1.47801 | + | 1.62052i | ||||
\(37\) | − | 161.834i | − | 0.719065i | −0.933132 | − | 0.359533i | \(-0.882936\pi\) | ||
0.933132 | − | 0.359533i | \(-0.117064\pi\) | |||||||
\(38\) | 8.40337 | + | 4.85169i | 0.0358739 | + | 0.0207118i | ||||
\(39\) | −42.2350 | + | 30.8925i | −0.173411 | + | 0.126840i | ||||
\(40\) | 518.666 | + | 148.353i | 2.05021 | + | 0.586416i | ||||
\(41\) | −139.674 | − | 241.922i | −0.532034 | − | 0.921510i | −0.999301 | − | 0.0373937i | \(-0.988094\pi\) |
0.467266 | − | 0.884117i | \(-0.345239\pi\) | |||||||
\(42\) | −325.787 | − | 445.403i | −1.19691 | − | 1.63636i | ||||
\(43\) | −233.024 | − | 134.536i | −0.826414 | − | 0.477130i | 0.0262093 | − | 0.999656i | \(-0.491656\pi\) |
−0.852623 | + | 0.522526i | \(0.824990\pi\) | |||||||
\(44\) | 501.179 | 1.71717 | ||||||||
\(45\) | −18.9296 | + | 301.275i | −0.0627080 | + | 0.998032i | ||||
\(46\) | −862.088 | −2.76322 | ||||||||
\(47\) | −8.30380 | − | 4.79420i | −0.0257709 | − | 0.0148789i | 0.487059 | − | 0.873369i | \(-0.338070\pi\) |
−0.512830 | + | 0.858490i | \(0.671403\pi\) | |||||||
\(48\) | −217.185 | + | 492.038i | −0.653083 | + | 1.47957i | ||||
\(49\) | 49.2462 | + | 85.2969i | 0.143575 | + | 0.248679i | ||||
\(50\) | 297.349 | + | 557.447i | 0.841031 | + | 1.57670i | ||||
\(51\) | 46.3158 | + | 427.501i | 0.127167 | + | 1.17377i | ||||
\(52\) | −153.027 | − | 88.3500i | −0.408096 | − | 0.235614i | ||||
\(53\) | 35.7716i | 0.0927095i | 0.998925 | + | 0.0463547i | \(0.0147605\pi\) | ||||
−0.998925 | + | 0.0463547i | \(0.985240\pi\) | |||||||
\(54\) | −694.994 | − | 140.766i | −1.75142 | − | 0.354737i | ||||
\(55\) | 221.987 | + | 229.569i | 0.544231 | + | 0.562820i | ||||
\(56\) | 506.921 | − | 878.013i | 1.20965 | − | 2.09517i | ||||
\(57\) | −9.91757 | + | 1.07448i | −0.0230459 | + | 0.00249681i | ||||
\(58\) | 1122.44 | − | 648.040i | 2.54109 | − | 1.46710i | ||||
\(59\) | −281.385 | − | 487.374i | −0.620903 | − | 1.07544i | −0.989318 | − | 0.145774i | \(-0.953433\pi\) |
0.368415 | − | 0.929661i | \(-0.379900\pi\) | |||||||
\(60\) | −956.529 | + | 352.340i | −2.05812 | + | 0.758114i | ||||
\(61\) | 39.6621 | − | 68.6968i | 0.0832494 | − | 0.144192i | −0.821395 | − | 0.570360i | \(-0.806804\pi\) |
0.904644 | + | 0.426168i | \(0.140137\pi\) | |||||||
\(62\) | 242.874i | 0.497501i | ||||||||
\(63\) | 540.661 | + | 171.854i | 1.08122 | + | 0.343675i | ||||
\(64\) | 134.846 | 0.263372 | ||||||||
\(65\) | −27.3106 | − | 109.228i | −0.0521148 | − | 0.208432i | ||||
\(66\) | −605.473 | + | 442.869i | −1.12922 | + | 0.825961i | ||||
\(67\) | −404.219 | + | 233.376i | −0.737063 | + | 0.425544i | −0.821001 | − | 0.570927i | \(-0.806584\pi\) |
0.0839374 | + | 0.996471i | \(0.473250\pi\) | |||||||
\(68\) | −1257.51 | + | 726.021i | −2.24257 | + | 1.29475i | ||||
\(69\) | 715.340 | − | 523.231i | 1.24807 | − | 0.912892i | ||||
\(70\) | 1151.90 | − | 288.013i | 1.96683 | − | 0.491773i | ||||
\(71\) | 316.854 | 0.529628 | 0.264814 | − | 0.964299i | \(-0.414689\pi\) | ||||
0.264814 | + | 0.964299i | \(0.414689\pi\) | |||||||
\(72\) | −279.015 | − | 1272.56i | −0.456697 | − | 2.08295i | ||||
\(73\) | − | 633.515i | − | 1.01572i | −0.861440 | − | 0.507859i | \(-0.830437\pi\) | ||
0.861440 | − | 0.507859i | \(-0.169563\pi\) | |||||||
\(74\) | −408.984 | + | 708.381i | −0.642479 | + | 1.11281i | ||||
\(75\) | −585.067 | − | 282.084i | −0.900770 | − | 0.434297i | ||||
\(76\) | −16.8429 | − | 29.1728i | −0.0254213 | − | 0.0440309i | ||||
\(77\) | 519.751 | − | 300.078i | 0.769235 | − | 0.444118i | ||||
\(78\) | 262.942 | − | 28.4874i | 0.381696 | − | 0.0413533i | ||||
\(79\) | −395.658 | + | 685.299i | −0.563481 | + | 0.975977i | 0.433709 | + | 0.901053i | \(0.357205\pi\) |
−0.997189 | + | 0.0749238i | \(0.976129\pi\) | |||||||
\(80\) | −804.442 | − | 831.918i | −1.12424 | − | 1.16264i | ||||
\(81\) | 662.125 | − | 305.011i | 0.908264 | − | 0.418397i | ||||
\(82\) | 1411.92i | 1.90147i | ||||||||
\(83\) | −197.521 | − | 114.039i | −0.261214 | − | 0.150812i | 0.363674 | − | 0.931526i | \(-0.381522\pi\) |
−0.624888 | + | 0.780714i | \(0.714855\pi\) | |||||||
\(84\) | 206.344 | + | 1904.58i | 0.268024 | + | 2.47389i | ||||
\(85\) | −889.546 | − | 254.435i | −1.13512 | − | 0.324674i | ||||
\(86\) | 679.994 | + | 1177.78i | 0.852624 | + | 1.47679i | ||||
\(87\) | −538.054 | + | 1218.97i | −0.663052 | + | 1.50216i | ||||
\(88\) | −1193.55 | − | 689.099i | −1.44583 | − | 0.834752i | ||||
\(89\) | −53.9091 | −0.0642062 | −0.0321031 | − | 0.999485i | \(-0.510220\pi\) | ||||
−0.0321031 | + | 0.999485i | \(0.510220\pi\) | |||||||
\(90\) | 844.234 | − | 1270.90i | 0.988778 | − | 1.48850i | ||||
\(91\) | −211.596 | −0.243751 | ||||||||
\(92\) | 2591.83 | + | 1496.39i | 2.93714 | + | 1.69576i | ||||
\(93\) | −147.409 | − | 201.531i | −0.164361 | − | 0.224708i | ||||
\(94\) | 24.2316 | + | 41.9704i | 0.0265883 | + | 0.0460522i | ||||
\(95\) | 5.90261 | − | 20.6365i | 0.00637469 | − | 0.0222870i | ||||
\(96\) | 575.209 | − | 420.733i | 0.611532 | − | 0.447301i | ||||
\(97\) | −83.7394 | − | 48.3470i | −0.0876541 | − | 0.0506071i | 0.455532 | − | 0.890219i | \(-0.349449\pi\) |
−0.543186 | + | 0.839612i | \(0.682782\pi\) | |||||||
\(98\) | − | 497.815i | − | 0.513132i | ||||||
\(99\) | 233.614 | − | 734.964i | 0.237163 | − | 0.746128i | ||||
\(100\) | 73.6360 | − | 2192.07i | 0.0736360 | − | 2.19207i | ||||
\(101\) | 541.711 | − | 938.271i | 0.533686 | − | 0.924371i | −0.465540 | − | 0.885027i | \(-0.654140\pi\) |
0.999226 | − | 0.0393438i | \(-0.0125267\pi\) | |||||||
\(102\) | 877.637 | − | 1988.31i | 0.851951 | − | 1.93011i | ||||
\(103\) | 372.670 | − | 215.161i | 0.356507 | − | 0.205830i | −0.311040 | − | 0.950397i | \(-0.600677\pi\) |
0.667548 | + | 0.744567i | \(0.267344\pi\) | |||||||
\(104\) | 242.955 | + | 420.810i | 0.229074 | + | 0.396767i | ||||
\(105\) | −781.013 | + | 938.113i | −0.725896 | + | 0.871909i | ||||
\(106\) | 90.4010 | − | 156.579i | 0.0828351 | − | 0.143475i | ||||
\(107\) | − | 12.9348i | − | 0.0116865i | −0.999983 | − | 0.00584323i | \(-0.998140\pi\) | ||
0.999983 | − | 0.00584323i | \(-0.00185997\pi\) | |||||||
\(108\) | 1845.13 | + | 1629.56i | 1.64396 | + | 1.45189i | ||||
\(109\) | 20.1087 | 0.0176703 | 0.00883517 | − | 0.999961i | \(-0.497188\pi\) | ||||
0.00883517 | + | 0.999961i | \(0.497188\pi\) | |||||||
\(110\) | −391.519 | − | 1565.87i | −0.339363 | − | 1.35727i | ||||
\(111\) | −90.5756 | − | 836.024i | −0.0774510 | − | 0.714882i | ||||
\(112\) | −1883.49 | + | 1087.43i | −1.58904 | + | 0.917434i | ||||
\(113\) | 979.163 | − | 565.320i | 0.815150 | − | 0.470627i | −0.0335912 | − | 0.999436i | \(-0.510694\pi\) |
0.848741 | + | 0.528809i | \(0.177361\pi\) | |||||||
\(114\) | 46.1266 | + | 20.3602i | 0.0378960 | + | 0.0167273i | ||||
\(115\) | 462.563 | + | 1850.01i | 0.375080 | + | 1.50012i | ||||
\(116\) | −4499.42 | −3.60138 | ||||||||
\(117\) | −200.893 | + | 183.227i | −0.158740 | + | 0.144780i | ||||
\(118\) | 2844.44i | 2.21909i | ||||||||
\(119\) | −869.403 | + | 1505.85i | −0.669731 | + | 1.16001i | ||||
\(120\) | 2762.42 | + | 476.091i | 2.10144 | + | 0.362175i | ||||
\(121\) | 257.579 | + | 446.140i | 0.193523 | + | 0.335192i | ||||
\(122\) | −347.218 | + | 200.466i | −0.257669 | + | 0.148765i | ||||
\(123\) | −856.944 | − | 1171.58i | −0.628195 | − | 0.858843i | ||||
\(124\) | 421.576 | − | 730.191i | 0.305312 | − | 0.528815i | ||||
\(125\) | 1036.71 | − | 937.204i | 0.741811 | − | 0.670609i | ||||
\(126\) | −1932.28 | − | 2118.58i | −1.36620 | − | 1.49792i | ||||
\(127\) | 277.149i | 0.193646i | 0.995302 | + | 0.0968228i | \(0.0308680\pi\) | ||||
−0.995302 | + | 0.0968228i | \(0.969132\pi\) | |||||||
\(128\) | −1540.46 | − | 889.385i | −1.06374 | − | 0.614151i | ||||
\(129\) | −1279.08 | − | 564.586i | −0.872998 | − | 0.385341i | ||||
\(130\) | −156.494 | + | 547.131i | −0.105581 | + | 0.369127i | ||||
\(131\) | 251.299 | + | 435.263i | 0.167604 | + | 0.290299i | 0.937577 | − | 0.347778i | \(-0.113064\pi\) |
−0.769973 | + | 0.638077i | \(0.779730\pi\) | |||||||
\(132\) | 2589.05 | − | 280.500i | 1.70718 | − | 0.184958i | ||||
\(133\) | −34.9341 | − | 20.1692i | −0.0227757 | − | 0.0131496i | ||||
\(134\) | 2359.13 | 1.52088 | ||||||||
\(135\) | 70.8290 | + | 1566.96i | 0.0451555 | + | 0.998980i | ||||
\(136\) | 3992.99 | 2.51762 | ||||||||
\(137\) | −1923.55 | − | 1110.56i | −1.19956 | − | 0.692566i | −0.239103 | − | 0.970994i | \(-0.576853\pi\) |
−0.960457 | + | 0.278428i | \(0.910187\pi\) | |||||||
\(138\) | −4453.48 | + | 482.494i | −2.74714 | + | 0.297628i | ||||
\(139\) | 1316.39 | + | 2280.06i | 0.803273 | + | 1.39131i | 0.917451 | + | 0.397850i | \(0.130244\pi\) |
−0.114177 | + | 0.993460i | \(0.536423\pi\) | |||||||
\(140\) | −3963.06 | − | 1133.54i | −2.39243 | − | 0.684299i | ||||
\(141\) | −45.5800 | − | 20.1190i | −0.0272236 | − | 0.0120165i | ||||
\(142\) | −1386.93 | − | 800.745i | −0.819638 | − | 0.473218i | ||||
\(143\) | 287.640i | 0.168208i | ||||||||
\(144\) | −846.578 | + | 2663.38i | −0.489918 | + | 1.54131i | ||||
\(145\) | −1992.92 | − | 2060.99i | −1.14140 | − | 1.18039i | ||||
\(146\) | −1601.00 | + | 2773.02i | −0.907535 | + | 1.57190i | ||||
\(147\) | 302.141 | + | 413.075i | 0.169525 | + | 0.231768i | ||||
\(148\) | 2459.19 | − | 1419.81i | 1.36584 | − | 0.788567i | ||||
\(149\) | −1282.86 | − | 2221.97i | −0.705340 | − | 1.22169i | −0.966569 | − | 0.256408i | \(-0.917461\pi\) |
0.261228 | − | 0.965277i | \(-0.415872\pi\) | |||||||
\(150\) | 1848.08 | + | 2713.31i | 1.00597 | + | 1.47694i | ||||
\(151\) | 752.244 | − | 1302.93i | 0.405409 | − | 0.702189i | −0.588960 | − | 0.808162i | \(-0.700462\pi\) |
0.994369 | + | 0.105973i | \(0.0337957\pi\) | |||||||
\(152\) | 92.6331i | 0.0494312i | ||||||||
\(153\) | 478.528 | + | 2182.52i | 0.252854 | + | 1.15324i | ||||
\(154\) | −3033.40 | −1.58726 | ||||||||
\(155\) | 521.198 | − | 130.317i | 0.270088 | − | 0.0675309i | ||||
\(156\) | −839.972 | − | 370.763i | −0.431100 | − | 0.190287i | ||||
\(157\) | 1037.66 | − | 599.094i | 0.527481 | − | 0.304541i | −0.212509 | − | 0.977159i | \(-0.568164\pi\) |
0.739990 | + | 0.672618i | \(0.234830\pi\) | |||||||
\(158\) | 3463.74 | − | 1999.79i | 1.74405 | − | 1.00693i | ||||
\(159\) | 20.0206 | + | 184.793i | 0.00998579 | + | 0.0921701i | ||||
\(160\) | 371.950 | + | 1487.60i | 0.183782 | + | 0.735033i | ||||
\(161\) | 3583.83 | 1.75432 | ||||||||
\(162\) | −3669.07 | − | 338.210i | −1.77944 | − | 0.164026i | ||||
\(163\) | 2204.91i | 1.05952i | 0.848148 | + | 0.529760i | \(0.177718\pi\) | ||||
−0.848148 | + | 0.529760i | \(0.822282\pi\) | |||||||
\(164\) | 2450.79 | − | 4244.88i | 1.16692 | − | 2.02116i | ||||
\(165\) | 1275.25 | + | 1061.69i | 0.601687 | + | 0.500926i | ||||
\(166\) | 576.392 | + | 998.341i | 0.269498 | + | 0.466785i | ||||
\(167\) | 980.439 | − | 566.057i | 0.454303 | − | 0.262292i | −0.255343 | − | 0.966851i | \(-0.582188\pi\) |
0.709646 | + | 0.704558i | \(0.248855\pi\) | |||||||
\(168\) | 2127.31 | − | 4819.46i | 0.976937 | − | 2.21327i | ||||
\(169\) | −1047.79 | + | 1814.83i | −0.476920 | + | 0.826050i | ||||
\(170\) | 3250.72 | + | 3361.75i | 1.46658 | + | 1.51667i | ||||
\(171\) | −50.6320 | + | 11.1013i | −0.0226429 | + | 0.00496457i | ||||
\(172\) | − | 4721.28i | − | 2.09299i | ||||||
\(173\) | 1605.61 | + | 926.998i | 0.705619 | + | 0.407389i | 0.809437 | − | 0.587207i | \(-0.199773\pi\) |
−0.103818 | + | 0.994596i | \(0.533106\pi\) | |||||||
\(174\) | 5435.73 | − | 3975.93i | 2.36829 | − | 1.73227i | ||||
\(175\) | −1236.13 | − | 2317.39i | −0.533957 | − | 1.00102i | ||||
\(176\) | 1478.23 | + | 2560.38i | 0.633102 | + | 1.09657i | ||||
\(177\) | −1726.39 | − | 2360.25i | −0.733126 | − | 1.00230i | ||||
\(178\) | 235.971 | + | 136.238i | 0.0993638 | + | 0.0573677i | ||||
\(179\) | −3205.81 | −1.33862 | −0.669312 | − | 0.742981i | \(-0.733411\pi\) | ||||
−0.669312 | + | 0.742981i | \(0.733411\pi\) | |||||||
\(180\) | −4744.16 | + | 2355.51i | −1.96449 | + | 0.975385i | ||||
\(181\) | 2278.79 | 0.935806 | 0.467903 | − | 0.883780i | \(-0.345010\pi\) | ||||
0.467903 | + | 0.883780i | \(0.345010\pi\) | |||||||
\(182\) | 926.199 | + | 534.741i | 0.377222 | + | 0.217789i | ||||
\(183\) | 166.443 | − | 377.080i | 0.0672341 | − | 0.152320i | ||||
\(184\) | −4114.95 | − | 7127.31i | −1.64869 | − | 2.85561i | ||||
\(185\) | 1739.60 | + | 497.574i | 0.691341 | + | 0.197743i | ||||
\(186\) | 135.932 | + | 1254.67i | 0.0535861 | + | 0.494607i | ||||
\(187\) | 2047.02 | + | 1181.85i | 0.800498 | + | 0.462168i | ||||
\(188\) | − | 168.243i | − | 0.0652679i | ||||||
\(189\) | 2889.20 | + | 585.185i | 1.11195 | + | 0.225216i | ||||
\(190\) | −77.9890 | + | 75.4132i | −0.0297785 | + | 0.0287950i | ||||
\(191\) | −1694.33 | + | 2934.66i | −0.641870 | + | 1.11175i | 0.343145 | + | 0.939282i | \(0.388508\pi\) |
−0.985015 | + | 0.172469i | \(0.944826\pi\) | |||||||
\(192\) | 696.606 | − | 75.4709i | 0.261840 | − | 0.0283679i | ||||
\(193\) | −2406.01 | + | 1389.11i | −0.897349 | + | 0.518085i | −0.876339 | − | 0.481695i | \(-0.840021\pi\) |
−0.0210098 | + | 0.999779i | \(0.506688\pi\) | |||||||
\(194\) | 244.363 | + | 423.249i | 0.0904341 | + | 0.156636i | ||||
\(195\) | −202.217 | − | 548.978i | −0.0742619 | − | 0.201606i | ||||
\(196\) | −864.097 | + | 1496.66i | −0.314904 | + | 0.545430i | ||||
\(197\) | 2941.71i | 1.06390i | 0.846776 | + | 0.531950i | \(0.178541\pi\) | ||||
−0.846776 | + | 0.531950i | \(0.821459\pi\) | |||||||
\(198\) | −2879.96 | + | 2626.70i | −1.03369 | + | 0.942785i | ||||
\(199\) | 4929.28 | 1.75592 | 0.877959 | − | 0.478737i | \(-0.158905\pi\) | ||||
0.877959 | + | 0.478737i | \(0.158905\pi\) | |||||||
\(200\) | −3189.37 | + | 5119.16i | −1.12761 | + | 1.80990i | ||||
\(201\) | −1957.55 | + | 1431.84i | −0.686940 | + | 0.502457i | ||||
\(202\) | −4742.35 | + | 2738.00i | −1.65183 | + | 0.953687i | ||||
\(203\) | −4666.15 | + | 2694.00i | −1.61330 | + | 0.931438i | ||||
\(204\) | −6089.84 | + | 4454.37i | −2.09007 | + | 1.52877i | ||||
\(205\) | 3029.93 | − | 757.582i | 1.03229 | − | 0.258107i | ||||
\(206\) | −2175.00 | −0.735628 | ||||||||
\(207\) | 3402.55 | − | 3103.33i | 1.14248 | − | 1.04201i | ||||
\(208\) | − | 1042.36i | − | 0.347474i | ||||||
\(209\) | −27.4177 | + | 47.4888i | −0.00907425 | + | 0.0157171i | ||||
\(210\) | 5789.42 | − | 2132.55i | 1.90242 | − | 0.700761i | ||||
\(211\) | −2709.25 | − | 4692.57i | −0.883947 | − | 1.53104i | −0.846916 | − | 0.531727i | \(-0.821543\pi\) |
−0.0370311 | − | 0.999314i | \(-0.511790\pi\) | |||||||
\(212\) | −543.574 | + | 313.832i | −0.176098 | + | 0.101670i | ||||
\(213\) | 1636.84 | − | 177.337i | 0.526547 | − | 0.0570466i | ||||
\(214\) | −32.6884 | + | 56.6180i | −0.0104417 | + | 0.0180856i | ||||
\(215\) | 2162.62 | − | 2091.19i | 0.685998 | − | 0.663341i | ||||
\(216\) | −2153.59 | − | 6417.76i | −0.678395 | − | 2.02164i | ||||
\(217\) | − | 1009.67i | − | 0.315855i | ||||||
\(218\) | −88.0199 | − | 50.8183i | −0.0273461 | − | 0.0157883i | ||||
\(219\) | −354.566 | − | 3272.69i | −0.109403 | − | 1.00981i | ||||
\(220\) | −1540.92 | + | 5387.31i | −0.472221 | + | 1.65097i | ||||
\(221\) | −416.683 | − | 721.716i | −0.126829 | − | 0.219674i | ||||
\(222\) | −1716.31 | + | 3888.34i | −0.518880 | + | 1.17553i | ||||
\(223\) | −3537.15 | − | 2042.18i | −1.06218 | − | 0.613248i | −0.136143 | − | 0.990689i | \(-0.543471\pi\) |
−0.926033 | + | 0.377442i | \(0.876804\pi\) | |||||||
\(224\) | 2881.78 | 0.859586 | ||||||||
\(225\) | −3180.29 | − | 1129.78i | −0.942308 | − | 0.334748i | ||||
\(226\) | −5714.65 | −1.68201 | ||||||||
\(227\) | −192.110 | − | 110.915i | −0.0561708 | − | 0.0324302i | 0.471652 | − | 0.881785i | \(-0.343658\pi\) |
−0.527822 | + | 0.849355i | \(0.676991\pi\) | |||||||
\(228\) | −103.337 | − | 141.278i | −0.0300160 | − | 0.0410366i | ||||
\(229\) | −799.037 | − | 1383.97i | −0.230576 | − | 0.399369i | 0.727402 | − | 0.686212i | \(-0.240728\pi\) |
−0.957978 | + | 0.286843i | \(0.907394\pi\) | |||||||
\(230\) | 2650.56 | − | 9266.82i | 0.759883 | − | 2.65668i | ||||
\(231\) | 2517.04 | − | 1841.08i | 0.716924 | − | 0.524389i | ||||
\(232\) | 10715.3 | + | 6186.50i | 3.03231 | + | 1.75071i | ||||
\(233\) | 6620.40i | 1.86144i | 0.365727 | + | 0.930722i | \(0.380820\pi\) | ||||
−0.365727 | + | 0.930722i | \(0.619180\pi\) | |||||||
\(234\) | 1342.39 | − | 294.327i | 0.375022 | − | 0.0822255i | ||||
\(235\) | 77.0650 | − | 74.5197i | 0.0213922 | − | 0.0206857i | ||||
\(236\) | 4937.32 | − | 8551.69i | 1.36183 | − | 2.35876i | ||||
\(237\) | −1660.39 | + | 3761.64i | −0.455079 | + | 1.03099i | ||||
\(238\) | 7611.09 | − | 4394.27i | 2.07292 | − | 1.19680i | ||||
\(239\) | 1778.60 | + | 3080.62i | 0.481372 | + | 0.833761i | 0.999771 | − | 0.0213776i | \(-0.00680523\pi\) |
−0.518399 | + | 0.855139i | \(0.673472\pi\) | |||||||
\(240\) | −4621.29 | − | 3847.40i | −1.24293 | − | 1.03478i | ||||
\(241\) | −1483.67 | + | 2569.79i | −0.396563 | + | 0.686867i | −0.993299 | − | 0.115570i | \(-0.963131\pi\) |
0.596736 | + | 0.802437i | \(0.296464\pi\) | |||||||
\(242\) | − | 2603.79i | − | 0.691645i | ||||||
\(243\) | 3249.78 | − | 1946.24i | 0.857914 | − | 0.513793i | ||||
\(244\) | 1391.86 | 0.365183 | ||||||||
\(245\) | −1068.29 | + | 267.108i | −0.278574 | + | 0.0696527i | ||||
\(246\) | 790.226 | + | 7293.88i | 0.204809 | + | 1.89041i | ||||
\(247\) | 16.7431 | − | 9.66661i | 0.00431310 | − | 0.00249017i | ||||
\(248\) | −2007.96 | + | 1159.30i | −0.514136 | + | 0.296836i | ||||
\(249\) | −1084.20 | − | 478.567i | −0.275938 | − | 0.121799i | ||||
\(250\) | −6906.38 | + | 1482.37i | −1.74719 | + | 0.375014i | ||||
\(251\) | −903.562 | −0.227220 | −0.113610 | − | 0.993525i | \(-0.536241\pi\) | ||||
−0.113610 | + | 0.993525i | \(0.536241\pi\) | |||||||
\(252\) | 2131.91 | + | 9723.43i | 0.532928 | + | 2.43063i | ||||
\(253\) | − | 4871.79i | − | 1.21062i | ||||||
\(254\) | 700.404 | − | 1213.14i | 0.173021 | − | 0.299681i | ||||
\(255\) | −4737.73 | − | 816.527i | −1.16348 | − | 0.200521i | ||||
\(256\) | 3955.88 | + | 6851.79i | 0.965791 | + | 1.67280i | ||||
\(257\) | 1285.61 | − | 742.247i | 0.312039 | − | 0.180156i | −0.335799 | − | 0.941934i | \(-0.609006\pi\) |
0.647839 | + | 0.761778i | \(0.275673\pi\) | |||||||
\(258\) | 4171.98 | + | 5703.76i | 1.00673 | + | 1.37636i | ||||
\(259\) | 1700.21 | − | 2944.85i | 0.407899 | − | 0.706502i | ||||
\(260\) | 1420.19 | − | 1373.29i | 0.338756 | − | 0.327568i | ||||
\(261\) | −2097.31 | + | 6598.26i | −0.497396 | + | 1.56484i | ||||
\(262\) | − | 2540.31i | − | 0.599011i | ||||||
\(263\) | −2352.69 | − | 1358.33i | −0.551609 | − | 0.318472i | 0.198162 | − | 0.980169i | \(-0.436503\pi\) |
−0.749771 | + | 0.661698i | \(0.769836\pi\) | |||||||
\(264\) | −6551.49 | − | 2891.82i | −1.52733 | − | 0.674164i | ||||
\(265\) | −384.518 | − | 109.983i | −0.0891350 | − | 0.0254950i | ||||
\(266\) | 101.942 | + | 176.569i | 0.0234981 | + | 0.0406998i | ||||
\(267\) | −278.490 | + | 30.1719i | −0.0638327 | + | 0.00691569i | ||||
\(268\) | −7092.62 | − | 4094.93i | −1.61661 | − | 0.933349i | ||||
\(269\) | −7492.51 | −1.69824 | −0.849120 | − | 0.528201i | \(-0.822867\pi\) | ||||
−0.849120 | + | 0.528201i | \(0.822867\pi\) | |||||||
\(270\) | 3649.95 | − | 7037.88i | 0.822699 | − | 1.58634i | ||||
\(271\) | 2013.02 | 0.451226 | 0.225613 | − | 0.974217i | \(-0.427561\pi\) | ||||
0.225613 | + | 0.974217i | \(0.427561\pi\) | |||||||
\(272\) | −7418.06 | − | 4282.82i | −1.65362 | − | 0.954720i | ||||
\(273\) | −1093.09 | + | 118.426i | −0.242333 | + | 0.0262545i | ||||
\(274\) | 5613.16 | + | 9722.28i | 1.23760 | + | 2.14359i | ||||
\(275\) | −3150.22 | + | 1680.37i | −0.690783 | + | 0.368473i | ||||
\(276\) | 14226.7 | + | 6279.66i | 3.10271 | + | 1.36953i | ||||
\(277\) | −3092.55 | − | 1785.48i | −0.670806 | − | 0.387290i | 0.125576 | − | 0.992084i | \(-0.459922\pi\) |
−0.796382 | + | 0.604794i | \(0.793255\pi\) | |||||||
\(278\) | − | 13307.0i | − | 2.87087i | ||||||
\(279\) | −874.295 | − | 958.593i | −0.187608 | − | 0.205697i | ||||
\(280\) | 7879.43 | + | 8148.56i | 1.68174 | + | 1.73918i | ||||
\(281\) | 3380.70 | − | 5855.54i | 0.717707 | − | 1.24310i | −0.244200 | − | 0.969725i | \(-0.578525\pi\) |
0.961906 | − | 0.273379i | \(-0.0881415\pi\) | |||||||
\(282\) | 148.669 | + | 203.254i | 0.0313939 | + | 0.0429205i | ||||
\(283\) | −3474.74 | + | 2006.14i | −0.729866 | + | 0.421388i | −0.818373 | − | 0.574687i | \(-0.805124\pi\) |
0.0885075 | + | 0.996076i | \(0.471790\pi\) | |||||||
\(284\) | 2779.83 | + | 4814.81i | 0.580819 | + | 1.00601i | ||||
\(285\) | 18.9426 | − | 109.910i | 0.00393706 | − | 0.0228439i | ||||
\(286\) | 726.917 | − | 1259.06i | 0.150292 | − | 0.260313i | ||||
\(287\) | − | 5869.58i | − | 1.20721i | ||||||
\(288\) | 2736.01 | − | 2495.41i | 0.559795 | − | 0.510567i | ||||
\(289\) | −1935.23 | −0.393901 | ||||||||
\(290\) | 3514.93 | + | 14057.8i | 0.711737 | + | 2.84657i | ||||
\(291\) | −459.650 | − | 202.889i | −0.0925951 | − | 0.0408714i | ||||
\(292\) | 9626.71 | − | 5557.98i | 1.92932 | − | 1.11389i | ||||
\(293\) | −2118.34 | + | 1223.02i | −0.422371 | + | 0.243856i | −0.696091 | − | 0.717953i | \(-0.745079\pi\) |
0.273720 | + | 0.961809i | \(0.411746\pi\) | |||||||
\(294\) | −278.617 | − | 2571.67i | −0.0552697 | − | 0.510147i | ||||
\(295\) | 6104.06 | − | 1526.22i | 1.20472 | − | 0.301219i | ||||
\(296\) | −7808.72 | −1.53335 | ||||||||
\(297\) | 795.489 | − | 3927.52i | 0.155417 | − | 0.767332i | ||||
\(298\) | 12968.0i | 2.52086i | ||||||||
\(299\) | −858.821 | + | 1487.52i | −0.166110 | + | 0.287711i | ||||
\(300\) | −846.463 | − | 11365.3i | −0.162902 | − | 2.18725i | ||||
\(301\) | −2826.84 | − | 4896.23i | −0.541317 | − | 0.937588i | ||||
\(302\) | −6585.45 | + | 3802.11i | −1.25480 | + | 0.724459i | ||||
\(303\) | 2273.30 | − | 5150.22i | 0.431016 | − | 0.976476i | ||||
\(304\) | 99.3568 | − | 172.091i | 0.0187451 | − | 0.0324674i | ||||
\(305\) | 616.496 | + | 637.553i | 0.115739 | + | 0.119692i | ||||
\(306\) | 3420.99 | − | 10762.6i | 0.639101 | − | 2.01065i | ||||
\(307\) | 5539.06i | 1.02974i | 0.857268 | + | 0.514871i | \(0.172160\pi\) | ||||
−0.857268 | + | 0.514871i | \(0.827840\pi\) | |||||||
\(308\) | 9119.79 | + | 5265.32i | 1.68717 | + | 0.974088i | ||||
\(309\) | 1804.76 | − | 1320.08i | 0.332263 | − | 0.243032i | ||||
\(310\) | −2610.72 | − | 746.738i | −0.478319 | − | 0.136812i | ||||
\(311\) | 1762.60 | + | 3052.92i | 0.321376 | + | 0.556640i | 0.980772 | − | 0.195156i | \(-0.0625213\pi\) |
−0.659396 | + | 0.751796i | \(0.729188\pi\) | |||||||
\(312\) | 1490.60 | + | 2037.89i | 0.270477 | + | 0.369785i | ||||
\(313\) | 5984.75 | + | 3455.30i | 1.08076 | + | 0.623977i | 0.931101 | − | 0.364761i | \(-0.118849\pi\) |
0.149659 | + | 0.988738i | \(0.452183\pi\) | |||||||
\(314\) | −6056.07 | −1.08842 | ||||||||
\(315\) | −3509.61 | + | 5283.34i | −0.627759 | + | 0.945023i | ||||
\(316\) | −13884.8 | −2.47177 | ||||||||
\(317\) | 3645.67 | + | 2104.83i | 0.645934 | + | 0.372930i | 0.786897 | − | 0.617085i | \(-0.211686\pi\) |
−0.140963 | + | 0.990015i | \(0.545020\pi\) | |||||||
\(318\) | 379.370 | − | 859.472i | 0.0668995 | − | 0.151562i | ||||
\(319\) | 3662.17 | + | 6343.07i | 0.642766 | + | 1.11330i | ||||
\(320\) | −414.597 | + | 1449.50i | −0.0724271 | + | 0.253217i | ||||
\(321\) | −7.23933 | − | 66.8200i | −0.00125875 | − | 0.0116185i | ||||
\(322\) | −15687.1 | − | 9056.98i | −2.71494 | − | 1.56747i | ||||
\(323\) | − | 158.872i | − | 0.0273680i | ||||||
\(324\) | 10443.8 | + | 7385.51i | 1.79078 | + | 1.26638i | ||||
\(325\) | 1258.09 | + | 42.2617i | 0.214727 | + | 0.00721310i | ||||
\(326\) | 5572.19 | − | 9651.32i | 0.946672 | − | 1.63968i | ||||
\(327\) | 103.880 | − | 11.2545i | 0.0175675 | − | 0.00190328i | ||||
\(328\) | −11673.1 | + | 6739.44i | −1.96505 | + | 1.13452i | ||||
\(329\) | −100.734 | − | 174.477i | −0.0168805 | − | 0.0292378i | ||||
\(330\) | −2898.94 | − | 7870.03i | −0.483581 | − | 1.31282i | ||||
\(331\) | 848.119 | − | 1468.99i | 0.140836 | − | 0.243936i | −0.786975 | − | 0.616984i | \(-0.788354\pi\) |
0.927812 | + | 0.373049i | \(0.121688\pi\) | |||||||
\(332\) | − | 4001.96i | − | 0.661554i | ||||||
\(333\) | −935.813 | − | 4268.14i | −0.154001 | − | 0.702381i | ||||
\(334\) | −5722.10 | −0.937423 | ||||||||
\(335\) | −1265.82 | − | 5062.60i | −0.206445 | − | 0.825669i | ||||
\(336\) | −9121.33 | + | 6671.74i | −1.48098 | + | 1.08325i | ||||
\(337\) | 6239.90 | − | 3602.61i | 1.00863 | − | 0.582334i | 0.0978413 | − | 0.995202i | \(-0.468806\pi\) |
0.910791 | + | 0.412868i | \(0.135473\pi\) | |||||||
\(338\) | 9172.80 | − | 5295.92i | 1.47614 | − | 0.852248i | ||||
\(339\) | 4741.88 | − | 3468.42i | 0.759716 | − | 0.555689i | ||||
\(340\) | −3937.89 | − | 15749.5i | −0.628124 | − | 2.51216i | ||||
\(341\) | −1372.52 | −0.217965 | ||||||||
\(342\) | 249.682 | + | 79.3633i | 0.0394773 | + | 0.0125482i | ||||
\(343\) | − | 5137.53i | − | 0.808747i | ||||||
\(344\) | −6491.55 | + | 11243.7i | −1.01744 | + | 1.76227i | ||||
\(345\) | 3424.98 | + | 9298.10i | 0.534477 | + | 1.45099i | ||||
\(346\) | −4685.37 | − | 8115.30i | −0.727998 | − | 1.26093i | ||||
\(347\) | −5626.26 | + | 3248.32i | −0.870413 | + | 0.502533i | −0.867485 | − | 0.497463i | \(-0.834265\pi\) |
−0.00292757 | + | 0.999996i | \(0.500932\pi\) | |||||||
\(348\) | −23243.6 | + | 2518.24i | −3.58043 | + | 0.387907i | ||||
\(349\) | −3232.25 | + | 5598.43i | −0.495755 | + | 0.858673i | −0.999988 | − | 0.00489459i | \(-0.998442\pi\) |
0.504233 | + | 0.863568i | \(0.331775\pi\) | |||||||
\(350\) | −445.684 | + | 13267.6i | −0.0680652 | + | 2.02624i | ||||
\(351\) | −935.249 | + | 1058.97i | −0.142222 | + | 0.161036i | ||||
\(352\) | − | 3917.44i | − | 0.593183i | ||||||
\(353\) | 10261.5 | + | 5924.50i | 1.54721 | + | 0.893284i | 0.998353 | + | 0.0573694i | \(0.0182713\pi\) |
0.548860 | + | 0.835914i | \(0.315062\pi\) | |||||||
\(354\) | 1591.98 | + | 14694.2i | 0.239019 | + | 2.20618i | ||||
\(355\) | −974.194 | + | 3405.95i | −0.145647 | + | 0.509208i | ||||
\(356\) | −472.957 | − | 819.186i | −0.0704121 | − | 0.121957i | ||||
\(357\) | −3648.47 | + | 8265.69i | −0.540890 | + | 1.22540i | ||||
\(358\) | 14032.5 | + | 8101.66i | 2.07162 | + | 1.19605i | ||||
\(359\) | 11702.9 | 1.72048 | 0.860242 | − | 0.509886i | \(-0.170312\pi\) | ||||
0.860242 | + | 0.509886i | \(0.170312\pi\) | |||||||
\(360\) | 14536.9 | + | 913.377i | 2.12823 | + | 0.133720i | ||||
\(361\) | −6855.31 | −0.999463 | ||||||||
\(362\) | −9974.70 | − | 5758.90i | −1.44823 | − | 0.836135i | ||||
\(363\) | 1580.33 | + | 2160.57i | 0.228501 | + | 0.312397i | ||||
\(364\) | −1856.39 | − | 3215.35i | −0.267311 | − | 0.462995i | ||||
\(365\) | 6809.83 | + | 1947.80i | 0.976556 | + | 0.279322i | ||||
\(366\) | −1681.50 | + | 1229.92i | −0.240146 | + | 0.175654i | ||||
\(367\) | 2234.79 | + | 1290.26i | 0.317861 | + | 0.183517i | 0.650439 | − | 0.759559i | \(-0.274585\pi\) |
−0.332578 | + | 0.943076i | \(0.607918\pi\) | |||||||
\(368\) | 17654.5i | 2.50083i | ||||||||
\(369\) | −5082.62 | − | 5572.67i | −0.717047 | − | 0.786184i | ||||
\(370\) | −6357.13 | − | 6574.26i | −0.893220 | − | 0.923729i | ||||
\(371\) | −375.811 | + | 650.924i | −0.0525907 | + | 0.0910897i | ||||
\(372\) | 1769.16 | − | 4008.06i | 0.246576 | − | 0.558624i | ||||
\(373\) | −3896.74 | + | 2249.78i | −0.540926 | + | 0.312304i | −0.745454 | − | 0.666557i | \(-0.767767\pi\) |
0.204528 | + | 0.978861i | \(0.434434\pi\) | |||||||
\(374\) | −5973.48 | − | 10346.4i | −0.825886 | − | 1.43048i | ||||
\(375\) | 4831.04 | − | 5421.75i | 0.665264 | − | 0.746608i | ||||
\(376\) | −231.326 | + | 400.669i | −0.0317281 | + | 0.0549546i | ||||
\(377\) | − | 2582.34i | − | 0.352777i | ||||||
\(378\) | −11167.7 | − | 9862.98i | −1.51959 | − | 1.34205i | ||||
\(379\) | 5888.24 | 0.798044 | 0.399022 | − | 0.916941i | \(-0.369350\pi\) | ||||
0.399022 | + | 0.916941i | \(0.369350\pi\) | |||||||
\(380\) | 365.371 | − | 91.3549i | 0.0493241 | − | 0.0123327i | ||||
\(381\) | 155.115 | + | 1431.73i | 0.0208577 | + | 0.192519i | ||||
\(382\) | 14832.8 | − | 8563.72i | 1.98668 | − | 1.14701i | ||||
\(383\) | 6945.66 | − | 4010.08i | 0.926650 | − | 0.535001i | 0.0408993 | − | 0.999163i | \(-0.486978\pi\) |
0.885750 | + | 0.464162i | \(0.153644\pi\) | |||||||
\(384\) | −8455.67 | − | 3732.33i | −1.12370 | − | 0.496002i | ||||
\(385\) | 1627.60 | + | 6509.56i | 0.215456 | + | 0.861709i | ||||
\(386\) | 14042.1 | 1.85162 | ||||||||
\(387\) | −6923.62 | − | 2200.73i | −0.909425 | − | 0.289068i | ||||
\(388\) | − | 1696.64i | − | 0.221994i | ||||||
\(389\) | −83.6900 | + | 144.955i | −0.0109081 | + | 0.0188934i | −0.871428 | − | 0.490524i | \(-0.836806\pi\) |
0.860520 | + | 0.509417i | \(0.170139\pi\) | |||||||
\(390\) | −502.219 | + | 2914.02i | −0.0652074 | + | 0.378352i | ||||
\(391\) | 7057.41 | + | 12223.8i | 0.912810 | + | 1.58103i | ||||
\(392\) | 4115.68 | − | 2376.19i | 0.530289 | − | 0.306163i | ||||
\(393\) | 1541.80 | + | 2107.89i | 0.197897 | + | 0.270557i | ||||
\(394\) | 7434.22 | − | 12876.5i | 0.950586 | − | 1.64646i | ||||
\(395\) | −6149.99 | − | 6360.04i | −0.783391 | − | 0.810148i | ||||
\(396\) | 13217.9 | − | 2898.08i | 1.67733 | − | 0.367763i | ||||
\(397\) | 5893.09i | 0.745002i | 0.928032 | + | 0.372501i | \(0.121500\pi\) | ||||
−0.928032 | + | 0.372501i | \(0.878500\pi\) | |||||||
\(398\) | −21576.4 | − | 12457.2i | −2.71741 | − | 1.56890i | ||||
\(399\) | −191.755 | − | 84.6407i | −0.0240596 | − | 0.0106199i | ||||
\(400\) | 11415.8 | − | 6089.36i | 1.42698 | − | 0.761170i | ||||
\(401\) | 1316.43 | + | 2280.12i | 0.163938 | + | 0.283950i | 0.936278 | − | 0.351260i | \(-0.114247\pi\) |
−0.772339 | + | 0.635210i | \(0.780913\pi\) | |||||||
\(402\) | 12187.1 | − | 1320.36i | 1.51203 | − | 0.163815i | ||||
\(403\) | 419.076 | + | 241.954i | 0.0518007 | + | 0.0299071i | ||||
\(404\) | 19010.2 | 2.34108 | ||||||||
\(405\) | 1242.89 | + | 8055.14i | 0.152493 | + | 0.988304i | ||||
\(406\) | 27232.9 | 3.32893 | ||||||||
\(407\) | −4003.17 | − | 2311.23i | −0.487543 | − | 0.281483i | ||||
\(408\) | 20627.5 | − | 2234.80i | 2.50297 | − | 0.271174i | ||||
\(409\) | −6845.15 | − | 11856.2i | −0.827558 | − | 1.43337i | −0.899949 | − | 0.435996i | \(-0.856396\pi\) |
0.0723910 | − | 0.997376i | \(-0.476937\pi\) | |||||||
\(410\) | −15177.1 | − | 4341.08i | −1.82816 | − | 0.522904i | ||||
\(411\) | −10558.5 | − | 4660.50i | −1.26718 | − | 0.559332i | ||||
\(412\) | 6539.04 | + | 3775.32i | 0.781931 | + | 0.451448i | ||||
\(413\) | − | 11824.8i | − | 1.40886i | ||||||
\(414\) | −22736.3 | + | 4985.05i | −2.69910 | + | 0.591792i | ||||
\(415\) | 1833.13 | − | 1772.59i | 0.216831 | − | 0.209669i | ||||
\(416\) | −690.584 | + | 1196.13i | −0.0813910 | + | 0.140973i | ||||
\(417\) | 8076.49 | + | 11041.9i | 0.948459 | + | 1.29670i | ||||
\(418\) | 240.025 | − | 138.578i | 0.0280861 | − | 0.0162155i | ||||
\(419\) | 129.486 | + | 224.277i | 0.0150974 | + | 0.0261495i | 0.873475 | − | 0.486868i | \(-0.161861\pi\) |
−0.858378 | + | 0.513018i | \(0.828527\pi\) | |||||||
\(420\) | −21107.3 | − | 3637.75i | −2.45221 | − | 0.422629i | ||||
\(421\) | −6821.55 | + | 11815.3i | −0.789696 | + | 1.36779i | 0.136457 | + | 0.990646i | \(0.456428\pi\) |
−0.926153 | + | 0.377147i | \(0.876905\pi\) | |||||||
\(422\) | 27387.1i | 3.15920i | ||||||||
\(423\) | −246.723 | − | 78.4230i | −0.0283596 | − | 0.00901432i | ||||
\(424\) | 1726.02 | 0.197696 | ||||||||
\(425\) | 5469.97 | − | 8779.70i | 0.624312 | − | 1.00207i | ||||
\(426\) | −7612.94 | − | 3360.35i | −0.865840 | − | 0.382182i | ||||
\(427\) | 1443.44 | − | 833.369i | 0.163590 | − | 0.0944486i | ||||
\(428\) | 196.553 | − | 113.480i | 0.0221980 | − | 0.0128160i | ||||
\(429\) | 160.987 | + | 1485.93i | 0.0181177 | + | 0.167229i | ||||
\(430\) | −14751.0 | + | 3688.24i | −1.65432 | + | 0.413635i | ||||
\(431\) | −13258.5 | −1.48176 | −0.740881 | − | 0.671636i | \(-0.765592\pi\) | ||||
−0.740881 | + | 0.671636i | \(0.765592\pi\) | |||||||
\(432\) | −2882.71 | + | 14232.6i | −0.321052 | + | 1.58511i | ||||
\(433\) | − | 14980.2i | − | 1.66259i | −0.555832 | − | 0.831295i | \(-0.687600\pi\) | ||
0.555832 | − | 0.831295i | \(-0.312400\pi\) | |||||||
\(434\) | −2551.60 | + | 4419.50i | −0.282214 | + | 0.488809i | ||||
\(435\) | −11448.8 | − | 9531.54i | −1.26190 | − | 1.05058i | ||||
\(436\) | 176.419 | + | 305.566i | 0.0193783 | + | 0.0335641i | ||||
\(437\) | −283.579 | + | 163.724i | −0.0310422 | + | 0.0179222i | ||||
\(438\) | −6718.66 | + | 15221.3i | −0.732945 | + | 1.66050i | ||||
\(439\) | −3681.30 | + | 6376.19i | −0.400225 | + | 0.693210i | −0.993753 | − | 0.111604i | \(-0.964401\pi\) |
0.593528 | + | 0.804813i | \(0.297735\pi\) | |||||||
\(440\) | 11077.0 | − | 10711.2i | 1.20017 | − | 1.16053i | ||||
\(441\) | 1792.03 | + | 1964.81i | 0.193503 | + | 0.212160i | ||||
\(442\) | 4212.13i | 0.453282i | ||||||||
\(443\) | −1375.08 | − | 793.903i | −0.147476 | − | 0.0851456i | 0.424446 | − | 0.905453i | \(-0.360469\pi\) |
−0.571922 | + | 0.820308i | \(0.693802\pi\) | |||||||
\(444\) | 11909.3 | − | 8711.00i | 1.27295 | − | 0.931094i | ||||
\(445\) | 165.748 | − | 579.484i | 0.0176567 | − | 0.0617307i | ||||
\(446\) | 10321.9 | + | 17878.0i | 1.09586 | + | 1.89809i | ||||
\(447\) | −7870.73 | − | 10760.6i | −0.832825 | − | 1.13861i | ||||
\(448\) | 2453.76 | + | 1416.68i | 0.258770 | + | 0.149401i | ||||
\(449\) | 7331.63 | 0.770604 | 0.385302 | − | 0.922791i | \(-0.374097\pi\) | ||||
0.385302 | + | 0.922791i | \(0.374097\pi\) | |||||||
\(450\) | 11065.6 | + | 12982.4i | 1.15919 | + | 1.35999i | ||||
\(451\) | −7978.99 | −0.833074 | ||||||||
\(452\) | 17180.9 | + | 9919.38i | 1.78788 | + | 1.03223i | ||||
\(453\) | 3156.81 | − | 7151.83i | 0.327417 | − | 0.741771i | ||||
\(454\) | 560.601 | + | 970.990i | 0.0579523 | + | 0.100376i | ||||
\(455\) | 650.571 | − | 2274.51i | 0.0670313 | − | 0.234353i | ||||
\(456\) | 51.8450 | + | 478.535i | 0.00532426 | + | 0.0491436i | ||||
\(457\) | −5453.21 | − | 3148.41i | −0.558185 | − | 0.322268i | 0.194232 | − | 0.980956i | \(-0.437779\pi\) |
−0.752417 | + | 0.658687i | \(0.771112\pi\) | |||||||
\(458\) | 8077.23i | 0.824070i | ||||||||
\(459\) | 3693.55 | + | 11006.9i | 0.375600 | + | 1.11930i | ||||
\(460\) | −24054.0 | + | 23259.5i | −2.43809 | + | 2.35757i | ||||
\(461\) | −3167.73 | + | 5486.67i | −0.320034 | + | 0.554316i | −0.980495 | − | 0.196545i | \(-0.937028\pi\) |
0.660461 | + | 0.750861i | \(0.270361\pi\) | |||||||
\(462\) | −15670.3 | + | 1697.74i | −1.57803 | + | 0.170965i | ||||
\(463\) | 1988.15 | − | 1147.86i | 0.199562 | − | 0.115217i | −0.396889 | − | 0.917867i | \(-0.629910\pi\) |
0.596451 | + | 0.802649i | \(0.296577\pi\) | |||||||
\(464\) | −13271.1 | − | 22986.2i | −1.32779 | − | 2.29980i | ||||
\(465\) | 2619.53 | − | 964.911i | 0.261243 | − | 0.0962294i | ||||
\(466\) | 16730.9 | − | 28978.8i | 1.66319 | − | 2.88072i | ||||
\(467\) | − | 6182.82i | − | 0.612648i | −0.951927 | − | 0.306324i | \(-0.900901\pi\) | ||
0.951927 | − | 0.306324i | \(-0.0990991\pi\) | |||||||
\(468\) | −4546.74 | − | 1445.22i | −0.449088 | − | 0.142746i | ||||
\(469\) | −9807.26 | −0.965581 | ||||||||
\(470\) | −525.653 | + | 131.431i | −0.0515884 | + | 0.0128988i | ||||
\(471\) | 5025.18 | − | 3675.63i | 0.491609 | − | 0.359585i | ||||
\(472\) | −23516.4 | + | 13577.2i | −2.29328 | + | 1.32403i | ||||
\(473\) | −6655.84 | + | 3842.75i | −0.647011 | + | 0.373552i | ||||
\(474\) | 16774.2 | − | 12269.4i | 1.62545 | − | 1.18893i | ||||
\(475\) | 203.680 | + | 126.898i | 0.0196747 | + | 0.0122578i | ||||
\(476\) | −30509.9 | −2.93786 | ||||||||
\(477\) | 206.850 | + | 943.422i | 0.0198554 | + | 0.0905583i | ||||
\(478\) | − | 17979.3i | − | 1.72041i | ||||||
\(479\) | 1949.18 | − | 3376.08i | 0.185930 | − | 0.322040i | −0.757960 | − | 0.652302i | \(-0.773804\pi\) |
0.943889 | + | 0.330262i | \(0.107137\pi\) | |||||||
\(480\) | 2754.04 | + | 7476.66i | 0.261884 | + | 0.710961i | ||||
\(481\) | 814.869 | + | 1411.39i | 0.0772449 | + | 0.133792i | ||||
\(482\) | 12988.6 | − | 7499.00i | 1.22742 | − | 0.708652i | ||||
\(483\) | 18513.8 | − | 2005.80i | 1.74411 | − | 0.188959i | ||||
\(484\) | −4519.61 | + | 7828.19i | −0.424456 | + | 0.735180i | ||||
\(485\) | 777.159 | − | 751.491i | 0.0727608 | − | 0.0703576i | ||||
\(486\) | −19143.4 | + | 306.339i | −1.78675 | + | 0.0285923i | ||||
\(487\) | 14776.3i | 1.37490i | 0.726232 | + | 0.687450i | \(0.241270\pi\) | ||||
−0.726232 | + | 0.687450i | \(0.758730\pi\) | |||||||
\(488\) | −3314.71 | − | 1913.75i | −0.307479 | − | 0.177523i | ||||
\(489\) | 1234.04 | + | 11390.4i | 0.114121 | + | 1.05336i | ||||
\(490\) | 5351.15 | + | 1530.58i | 0.493348 | + | 0.141111i | ||||
\(491\) | −1818.62 | − | 3149.94i | −0.167155 | − | 0.289521i | 0.770263 | − | 0.637726i | \(-0.220125\pi\) |
−0.937418 | + | 0.348205i | \(0.886791\pi\) | |||||||
\(492\) | 10284.8 | − | 23300.4i | 0.942427 | − | 2.13509i | ||||
\(493\) | −18377.5 | − | 10610.2i | −1.67886 | − | 0.969293i | ||||
\(494\) | −97.7169 | −0.00889978 | ||||||||
\(495\) | 7182.07 | + | 4770.90i | 0.652141 | + | 0.433204i | ||||
\(496\) | 4973.77 | 0.450260 | ||||||||
\(497\) | 5765.68 | + | 3328.82i | 0.520375 | + | 0.300439i | ||||
\(498\) | 3536.35 | + | 4834.76i | 0.318208 | + | 0.435041i | ||||
\(499\) | −1628.87 | − | 2821.29i | −0.146129 | − | 0.253103i | 0.783665 | − | 0.621184i | \(-0.213348\pi\) |
−0.929794 | + | 0.368081i | \(0.880015\pi\) | |||||||
\(500\) | 23336.8 | + | 7531.25i | 2.08731 | + | 0.673616i | ||||
\(501\) | 4748.06 | − | 3472.94i | 0.423409 | − | 0.309699i | ||||
\(502\) | 3955.07 | + | 2283.46i | 0.351640 | + | 0.203019i | ||||
\(503\) | 20857.4i | 1.84888i | 0.381327 | + | 0.924440i | \(0.375467\pi\) | ||||
−0.381327 | + | 0.924440i | \(0.624533\pi\) | |||||||
\(504\) | 8292.15 | − | 26087.6i | 0.732861 | − | 2.30562i | ||||
\(505\) | 8420.19 | + | 8707.79i | 0.741968 | + | 0.767310i | ||||
\(506\) | −12311.9 | + | 21324.8i | −1.08168 | + | 1.87352i | ||||
\(507\) | −4397.09 | + | 9961.71i | −0.385171 | + | 0.872614i | ||||
\(508\) | −4211.47 | + | 2431.49i | −0.367822 | + | 0.212362i | ||||
\(509\) | −9953.74 | − | 17240.4i | −0.866781 | − | 1.50131i | −0.865267 | − | 0.501311i | \(-0.832851\pi\) |
−0.00151390 | − | 0.999999i | \(-0.500482\pi\) | |||||||
\(510\) | 18674.5 | + | 15547.2i | 1.62141 | + | 1.34988i | ||||
\(511\) | 6655.62 | − | 11527.9i | 0.576179 | − | 0.997971i | ||||
\(512\) | − | 25758.7i | − | 2.22340i | ||||||
\(513\) | −255.348 | + | 85.6865i | −0.0219764 | + | 0.00737456i | ||||
\(514\) | −7503.15 | −0.643871 | ||||||||
\(515\) | 1167.02 | + | 4667.46i | 0.0998544 | + | 0.399365i | ||||
\(516\) | −2642.41 | − | 24389.8i | −0.225437 | − | 2.08081i | ||||
\(517\) | −237.181 | + | 136.937i | −0.0201764 | + | 0.0116489i | ||||
\(518\) | −14884.3 | + | 8593.46i | −1.26251 | + | 0.728909i | ||||
\(519\) | 8813.26 | + | 3890.17i | 0.745394 | + | 0.329016i | ||||
\(520\) | −5270.39 | + | 1317.77i | −0.444465 | + | 0.111131i | ||||
\(521\) | −4264.69 | −0.358617 | −0.179308 | − | 0.983793i | \(-0.557386\pi\) | ||||
−0.179308 | + | 0.983793i | \(0.557386\pi\) | |||||||
\(522\) | 25855.3 | − | 23581.6i | 2.16792 | − | 1.97728i | ||||
\(523\) | 3687.86i | 0.308334i | 0.988045 | + | 0.154167i | \(0.0492694\pi\) | ||||
−0.988045 | + | 0.154167i | \(0.950731\pi\) | |||||||
\(524\) | −4409.42 | + | 7637.34i | −0.367607 | + | 0.636715i | ||||
\(525\) | −7682.74 | − | 11279.6i | −0.638671 | − | 0.937683i | ||||
\(526\) | 6865.46 | + | 11891.3i | 0.569103 | + | 0.985716i | ||||
\(527\) | 3443.78 | − | 1988.27i | 0.284656 | − | 0.164346i | ||||
\(528\) | 9069.43 | + | 12399.4i | 0.747531 | + | 1.02199i | ||||
\(529\) | 8462.46 | − | 14657.4i | 0.695525 | − | 1.20469i | ||||
\(530\) | 1405.17 | + | 1453.16i | 0.115163 | + | 0.119097i | ||||
\(531\) | −10239.4 | − | 11226.6i | −0.836819 | − | 0.917504i | ||||
\(532\) | − | 707.798i | − | 0.0576822i | ||||||
\(533\) | 2436.25 | + | 1406.57i | 0.197985 | + | 0.114307i | ||||
\(534\) | 1295.26 | + | 571.726i | 0.104965 | + | 0.0463314i | ||||
\(535\) | 139.039 | + | 39.7690i | 0.0112359 | + | 0.00321377i | ||||
\(536\) | 11260.7 | + | 19504.1i | 0.907440 | + | 1.57173i | ||||
\(537\) | −16561.0 | + | 1794.23i | −1.33084 | + | 0.144184i | ||||
\(538\) | 32796.2 | + | 18934.9i | 2.62815 | + | 1.51736i | ||||
\(539\) | 2813.23 | 0.224813 | ||||||||
\(540\) | −23189.6 | + | 14823.6i | −1.84800 | + | 1.18131i | ||||
\(541\) | 21551.0 | 1.71266 | 0.856331 | − | 0.516428i | \(-0.172739\pi\) | ||||
0.856331 | + | 0.516428i | \(0.172739\pi\) | |||||||
\(542\) | −8811.39 | − | 5087.26i | −0.698305 | − | 0.403167i | ||||
\(543\) | 11772.0 | − | 1275.39i | 0.930362 | − | 0.100796i | ||||
\(544\) | 5674.91 | + | 9829.23i | 0.447261 | + | 0.774678i | ||||
\(545\) | −61.8260 | + | 216.154i | −0.00485933 | + | 0.0169891i | ||||
\(546\) | 5083.96 | + | 2244.06i | 0.398486 | + | 0.175891i | ||||
\(547\) | −17240.0 | − | 9953.52i | −1.34759 | − | 0.778029i | −0.359678 | − | 0.933076i | \(-0.617114\pi\) |
−0.987907 | + | 0.155048i | \(0.950447\pi\) | |||||||
\(548\) | − | 38972.8i | − | 3.03802i | ||||||
\(549\) | 648.788 | − | 2041.12i | 0.0504364 | − | 0.158676i | ||||
\(550\) | 18035.7 | + | 605.855i | 1.39826 | + | 0.0469704i | ||||
\(551\) | 246.146 | − | 426.338i | 0.0190312 | − | 0.0329630i | ||||
\(552\) | −25246.5 | − | 34516.1i | −1.94667 | − | 2.66142i | ||||
\(553\) | −14399.3 | + | 8313.45i | −1.10727 | + | 0.639283i | ||||
\(554\) | 9024.46 | + | 15630.8i | 0.692081 | + | 1.19872i | ||||
\(555\) | 9265.14 | + | 1596.81i | 0.708618 | + | 0.122127i | ||||
\(556\) | −23098.1 | + | 40007.0i | −1.76183 | + | 3.05157i | ||||
\(557\) | − | 1747.00i | − | 0.132896i | −0.997790 | − | 0.0664479i | \(-0.978833\pi\) | ||
0.997790 | − | 0.0664479i | \(-0.0211666\pi\) | |||||||
\(558\) | 1404.43 | + | 6405.45i | 0.106549 | + | 0.485957i | ||||
\(559\) | 2709.67 | 0.205021 | ||||||||
\(560\) | −5898.16 | − | 23589.5i | −0.445076 | − | 1.78007i | ||||
\(561\) | 11236.2 | + | 4959.66i | 0.845622 | + | 0.373257i | ||||
\(562\) | −29596.0 | + | 17087.2i | −2.22141 | + | 1.28253i | ||||
\(563\) | −1837.74 | + | 1061.02i | −0.137569 | + | 0.0794257i | −0.567205 | − | 0.823577i | \(-0.691975\pi\) |
0.429636 | + | 0.903002i | \(0.358642\pi\) | |||||||
\(564\) | −94.1622 | − | 869.129i | −0.00703004 | − | 0.0648882i | ||||
\(565\) | 3066.26 | + | 12263.4i | 0.228316 | + | 0.913143i | ||||
\(566\) | 20279.5 | 1.50603 | ||||||||
\(567\) | 15252.9 | + | 1405.99i | 1.12974 | + | 0.104138i | ||||
\(568\) | − | 15288.6i | − | 1.12939i | ||||||
\(569\) | 5376.54 | − | 9312.43i | 0.396127 | − | 0.686112i | −0.597118 | − | 0.802154i | \(-0.703687\pi\) |
0.993244 | + | 0.116042i | \(0.0370207\pi\) | |||||||
\(570\) | −360.678 | + | 433.228i | −0.0265038 | + | 0.0318349i | ||||
\(571\) | −362.873 | − | 628.514i | −0.0265950 | − | 0.0460639i | 0.852422 | − | 0.522855i | \(-0.175133\pi\) |
−0.879017 | + | 0.476791i | \(0.841800\pi\) | |||||||
\(572\) | −4370.89 | + | 2523.54i | −0.319504 | + | 0.184466i | ||||
\(573\) | −7110.29 | + | 16108.5i | −0.518388 | + | 1.17442i | ||||
\(574\) | −14833.5 | + | 25692.3i | −1.07864 | + | 1.86825i | ||||
\(575\) | −21308.4 | − | 715.791i | −1.54543 | − | 0.0519140i | ||||
\(576\) | 3556.37 | − | 779.753i | 0.257261 | − | 0.0564058i | ||||
\(577\) | − | 23839.3i | − | 1.72001i | −0.510290 | − | 0.860003i | \(-0.670462\pi\) | ||
0.510290 | − | 0.860003i | \(-0.329538\pi\) | |||||||
\(578\) | 8470.91 | + | 4890.68i | 0.609590 | + | 0.351947i | ||||
\(579\) | −11651.8 | + | 8522.63i | −0.836325 | + | 0.611725i | ||||
\(580\) | 13833.8 | − | 48365.5i | 0.990378 | − | 3.46253i | ||||
\(581\) | −2396.15 | − | 4150.26i | −0.171100 | − | 0.296354i | ||||
\(582\) | 1499.24 | + | 2049.70i | 0.106779 | + | 0.145985i | ||||
\(583\) | 884.853 | + | 510.870i | 0.0628592 | + | 0.0362917i | ||||
\(584\) | −30567.9 | −2.16594 | ||||||||
\(585\) | −1351.89 | − | 2722.80i | −0.0955450 | − | 0.192434i | ||||
\(586\) | 12363.2 | 0.871534 | ||||||||
\(587\) | 6735.67 | + | 3888.84i | 0.473613 | + | 0.273440i | 0.717751 | − | 0.696300i | \(-0.245172\pi\) |
−0.244138 | + | 0.969740i | \(0.578505\pi\) | |||||||
\(588\) | −3626.21 | + | 8215.25i | −0.254324 | + | 0.576175i | ||||
\(589\) | 46.1257 | + | 79.8921i | 0.00322679 | + | 0.00558896i | ||||
\(590\) | −30575.7 | − | 8745.48i | −2.13353 | − | 0.610247i | ||||
\(591\) | 1646.42 | + | 15196.7i | 0.114593 | + | 1.05771i | ||||
\(592\) | 14506.8 | + | 8375.51i | 1.00714 | + | 0.581472i | ||||
\(593\) | 6677.79i | 0.462435i | 0.972902 | + | 0.231217i | \(0.0742709\pi\) | ||||
−0.972902 | + | 0.231217i | \(0.925729\pi\) | |||||||
\(594\) | −13407.5 | + | 15181.2i | −0.926125 | + | 1.04864i | ||||
\(595\) | −13513.7 | − | 13975.3i | −0.931108 | − | 0.962911i | ||||
\(596\) | 22509.6 | − | 38987.8i | 1.54703 | − | 2.67953i | ||||
\(597\) | 25464.3 | − | 2758.82i | 1.74570 | − | 0.189131i | ||||
\(598\) | 7518.46 | − | 4340.79i | 0.514135 | − | 0.296836i | ||||
\(599\) | 6473.45 | + | 11212.3i | 0.441566 | + | 0.764815i | 0.997806 | − | 0.0662068i | \(-0.0210897\pi\) |
−0.556240 | + | 0.831022i | \(0.687756\pi\) | |||||||
\(600\) | −13610.9 | + | 28230.2i | −0.926107 | + | 1.92082i | ||||
\(601\) | 2183.05 | − | 3781.15i | 0.148167 | − | 0.256633i | −0.782383 | − | 0.622797i | \(-0.785996\pi\) |
0.930550 | + | 0.366165i | \(0.119329\pi\) | |||||||
\(602\) | 28575.7i | 1.93465i | ||||||||
\(603\) | −9311.17 | + | 8492.36i | −0.628823 | + | 0.573525i | ||||
\(604\) | 26398.5 | 1.77838 | ||||||||
\(605\) | −5587.64 | + | 1397.09i | −0.375487 | + | 0.0938842i | ||||
\(606\) | −22966.2 | + | 16798.5i | −1.53950 | + | 1.12606i | ||||
\(607\) | 20938.3 | − | 12088.7i | 1.40010 | − | 0.808347i | 0.405697 | − | 0.914008i | \(-0.367029\pi\) |
0.994402 | + | 0.105660i | \(0.0336956\pi\) | |||||||
\(608\) | −228.028 | + | 131.652i | −0.0152101 | + | 0.00878156i | ||||
\(609\) | −22597.2 | + | 16528.6i | −1.50359 | + | 1.09979i | ||||
\(610\) | −1087.32 | − | 4348.69i | −0.0721707 | − | 0.288645i | ||||
\(611\) | 96.5591 | 0.00639339 | ||||||||
\(612\) | −28966.6 | + | 26419.3i | −1.91324 | + | 1.74499i | ||||
\(613\) | 7772.63i | 0.512127i | 0.966660 | + | 0.256063i | \(0.0824256\pi\) | ||||
−0.966660 | + | 0.256063i | \(0.917574\pi\) | |||||||
\(614\) | 13998.2 | − | 24245.5i | 0.920066 | − | 1.59360i | ||||
\(615\) | 15228.4 | − | 5609.40i | 0.998484 | − | 0.367794i | ||||
\(616\) | −14479.2 | − | 25078.6i | −0.947048 | − | 1.64034i | ||||
\(617\) | −542.357 | + | 313.130i | −0.0353881 | + | 0.0204313i | −0.517590 | − | 0.855629i | \(-0.673171\pi\) |
0.482202 | + | 0.876060i | \(0.339837\pi\) | |||||||
\(618\) | −11235.9 | + | 1217.30i | −0.731348 | + | 0.0792349i | ||||
\(619\) | 11417.5 | − | 19775.8i | 0.741373 | − | 1.28410i | −0.210497 | − | 0.977594i | \(-0.567508\pi\) |
0.951870 | − | 0.306501i | \(-0.0991583\pi\) | |||||||
\(620\) | 6552.85 | + | 6776.67i | 0.424466 | + | 0.438964i | ||||
\(621\) | 15840.4 | − | 17935.9i | 1.02360 | − | 1.15901i | ||||
\(622\) | − | 17817.6i | − | 1.14859i | ||||||
\(623\) | −980.967 | − | 566.361i | −0.0630844 | − | 0.0364218i | ||||
\(624\) | −583.387 | − | 5384.74i | −0.0374266 | − | 0.345452i | ||||
\(625\) | 6886.80 | + | 14025.4i | 0.440756 | + | 0.897627i | ||||
\(626\) | −17464.3 | − | 30249.0i | −1.11504 | − | 1.93130i | ||||
\(627\) | −115.059 | + | 260.668i | −0.00732857 | + | 0.0166030i | ||||
\(628\) | 18207.3 | + | 10512.0i | 1.15693 | + | 0.667953i | ||||
\(629\) | 13392.5 | 0.848954 | ||||||||
\(630\) | 28714.2 | − | 14256.8i | 1.81587 | − | 0.901594i | ||||
\(631\) | −26862.1 | −1.69471 | −0.847355 | − | 0.531027i | \(-0.821806\pi\) | ||||
−0.847355 | + | 0.531027i | \(0.821806\pi\) | |||||||
\(632\) | 33066.6 | + | 19091.0i | 2.08120 | + | 1.20158i | ||||
\(633\) | −16622.1 | − | 22725.1i | −1.04371 | − | 1.42692i | ||||
\(634\) | −10638.5 | − | 18426.5i | −0.666420 | − | 1.15427i | ||||
\(635\) | −2979.15 | − | 852.118i | −0.186179 | − | 0.0532524i | ||||
\(636\) | −2632.41 | + | 1925.46i | −0.164123 | + | 0.120046i | ||||
\(637\) | −858.973 | − | 495.929i | −0.0534282 | − | 0.0308468i | ||||
\(638\) | − | 37019.8i | − | 2.29723i | ||||||
\(639\) | 8356.54 | − | 1832.22i | 0.517339 | − | 0.113429i | ||||
\(640\) | 14296.5 | − | 13824.3i | 0.883000 | − | 0.853836i | ||||
\(641\) | −4304.99 | + | 7456.46i | −0.265268 | + | 0.459458i | −0.967634 | − | 0.252358i | \(-0.918794\pi\) |
0.702366 | + | 0.711816i | \(0.252127\pi\) | |||||||
\(642\) | −137.178 | + | 310.779i | −0.00843299 | + | 0.0191051i | ||||
\(643\) | −14872.6 | + | 8586.71i | −0.912160 | + | 0.526636i | −0.881125 | − | 0.472882i | \(-0.843214\pi\) |
−0.0310345 | + | 0.999518i | \(0.509880\pi\) | |||||||
\(644\) | 31441.8 | + | 54458.8i | 1.92388 | + | 3.33227i | ||||
\(645\) | 10001.5 | − | 12013.3i | 0.610558 | − | 0.733371i | ||||
\(646\) | −401.497 | + | 695.413i | −0.0244531 | + | 0.0423540i | ||||
\(647\) | − | 1258.94i | − | 0.0764978i | −0.999268 | − | 0.0382489i | \(-0.987822\pi\) | ||
0.999268 | − | 0.0382489i | \(-0.0121780\pi\) | |||||||
\(648\) | −14717.2 | − | 31948.4i | −0.892200 | − | 1.93681i | ||||
\(649\) | −16074.4 | −0.972226 | ||||||||
\(650\) | −5400.11 | − | 3364.40i | −0.325861 | − | 0.203020i | ||||
\(651\) | −565.090 | − | 5215.85i | −0.0340209 | − | 0.314017i | ||||
\(652\) | −33505.1 | + | 19344.2i | −2.01252 | + | 1.16193i | ||||
\(653\) | −2200.06 | + | 1270.21i | −0.131845 | + | 0.0761209i | −0.564472 | − | 0.825452i | \(-0.690920\pi\) |
0.432627 | + | 0.901573i | \(0.357587\pi\) | |||||||
\(654\) | −483.146 | − | 213.260i | −0.0288876 | − | 0.0127510i | ||||
\(655\) | −5451.40 | + | 1363.03i | −0.325197 | + | 0.0813100i | ||||
\(656\) | 28914.5 | 1.72092 | ||||||||
\(657\) | −3663.32 | − | 16708.0i | −0.217534 | − | 0.992149i | ||||
\(658\) | 1018.29i | 0.0603302i | ||||||||
\(659\) | −13099.9 | + | 22689.7i | −0.774356 | + | 1.34122i | 0.160800 | + | 0.986987i | \(0.448593\pi\) |
−0.935156 | + | 0.354237i | \(0.884741\pi\) | |||||||
\(660\) | −4945.09 | + | 28692.9i | −0.291648 | + | 1.69222i | ||||
\(661\) | 2721.89 | + | 4714.44i | 0.160165 | + | 0.277414i | 0.934928 | − | 0.354838i | \(-0.115464\pi\) |
−0.774763 | + | 0.632252i | \(0.782131\pi\) | |||||||
\(662\) | −7424.77 | + | 4286.69i | −0.435909 | + | 0.251672i | ||||
\(663\) | −2556.48 | − | 3495.12i | −0.149752 | − | 0.204735i | ||||
\(664\) | −5502.52 | + | 9530.64i | −0.321595 | + | 0.557019i | ||||
\(665\) | 324.212 | − | 313.504i | 0.0189059 | − | 0.0182815i | ||||
\(666\) | −6690.11 | + | 21047.5i | −0.389244 | + | 1.22458i | ||||
\(667\) | 43737.3i | 2.53901i | ||||||||
\(668\) | 17203.3 | + | 9932.30i | 0.996428 | + | 0.575288i | ||||
\(669\) | −19415.6 | − | 8570.05i | −1.12205 | − | 0.495272i | ||||
\(670\) | −7253.35 | + | 25358.9i | −0.418241 | + | 1.46224i | ||||
\(671\) | −1132.87 | − | 1962.18i | −0.0651771 | − | 0.112890i | ||||
\(672\) | 14887.1 | − | 1612.88i | 0.854585 | − | 0.0925865i | ||||
\(673\) | 14567.3 | + | 8410.41i | 0.834364 | + | 0.481720i | 0.855344 | − | 0.518060i | \(-0.173346\pi\) |
−0.0209808 | + | 0.999780i | \(0.506679\pi\) | |||||||
\(674\) | −36417.7 | −2.08124 | ||||||||
\(675\) | −17061.4 | − | 4056.39i | −0.972881 | − | 0.231304i | ||||
\(676\) | −36770.2 | −2.09207 | ||||||||
\(677\) | −20091.4 | − | 11599.7i | −1.14058 | − | 0.658515i | −0.194007 | − | 0.981000i | \(-0.562148\pi\) |
−0.946574 | + | 0.322485i | \(0.895482\pi\) | |||||||
\(678\) | −29521.5 | + | 3198.38i | −1.67222 | + | 0.181170i | ||||
\(679\) | −1015.85 | − | 1759.51i | −0.0574151 | − | 0.0994459i | ||||
\(680\) | −12276.8 | + | 42921.7i | −0.692343 | + | 2.42055i | ||||
\(681\) | −1054.50 | − | 465.456i | −0.0593371 | − | 0.0261914i | ||||
\(682\) | 6007.79 | + | 3468.60i | 0.337317 | + | 0.194750i | ||||
\(683\) | 24902.4i | 1.39512i | 0.716528 | + | 0.697558i | \(0.245730\pi\) | ||||
−0.716528 | + | 0.697558i | \(0.754270\pi\) | |||||||
\(684\) | −612.900 | − | 671.994i | −0.0342614 | − | 0.0375648i | ||||
\(685\) | 17851.8 | − | 17262.2i | 0.995742 | − | 0.962855i | ||||
\(686\) | −12983.4 | + | 22488.0i | −0.722609 | + | 1.25160i | ||||
\(687\) | −4902.35 | − | 6702.29i | −0.272251 | − | 0.372210i | ||||
\(688\) | 24119.6 | − | 13925.5i | 1.33656 | − | 0.771662i | ||||
\(689\) | −180.117 | − | 311.972i | −0.00995923 | − | 0.0172499i | ||||
\(690\) | 8506.15 | − | 49355.2i | 0.469310 | − | 2.72307i | ||||
\(691\) | −4233.73 | + | 7333.03i | −0.233080 | + | 0.403707i | −0.958713 | − | 0.284375i | \(-0.908214\pi\) |
0.725633 | + | 0.688082i | \(0.241547\pi\) | |||||||
\(692\) | 32531.1i | 1.78706i | ||||||||
\(693\) | 11972.4 | − | 10919.6i | 0.656270 | − | 0.598558i | ||||
\(694\) | 32836.3 | 1.79604 | ||||||||
\(695\) | −28556.4 | + | 7140.03i | −1.55857 | + | 0.389693i | ||||
\(696\) | 58817.0 | + | 25961.8i | 3.20324 | + | 1.41391i | ||||
\(697\) | 20020.1 | − | 11558.6i | 1.08797 | − | 0.628139i | ||||
\(698\) | 28296.4 | − | 16336.9i | 1.53443 | − | 0.885906i | ||||
\(699\) | 3705.31 | + | 34200.5i | 0.200497 | + | 1.85062i | ||||
\(700\) | 24369.5 | − | 39114.9i | 1.31583 | − | 2.11200i | ||||
\(701\) | 5972.30 | 0.321784 | 0.160892 | − | 0.986972i | \(-0.448563\pi\) | ||||
0.160892 | + | 0.986972i | \(0.448563\pi\) | |||||||
\(702\) | 6769.98 | − | 2271.78i | 0.363983 | − | 0.122141i | ||||
\(703\) | 310.691i | 0.0166685i | ||||||||
\(704\) | 1925.80 | − | 3335.59i | 0.103099 | − | 0.178572i | ||||
\(705\) | 356.404 | − | 428.095i | 0.0190397 | − | 0.0228695i | ||||
\(706\) | −29944.5 | − | 51865.4i | −1.59628 | − | 2.76484i | ||||
\(707\) | 19714.7 | − | 11382.3i | 1.04872 | − | 0.605480i | ||||
\(708\) | 20719.6 | − | 46940.7i | 1.09985 | − | 2.49172i | ||||
\(709\) | −3774.89 | + | 6538.30i | −0.199956 | + | 0.346334i | −0.948514 | − | 0.316735i | \(-0.897413\pi\) |
0.748558 | + | 0.663070i | \(0.230747\pi\) | |||||||
\(710\) | 12871.7 | − | 12446.5i | 0.680373 | − | 0.657902i | ||||
\(711\) | −6472.12 | + | 20361.7i | −0.341383 | + | 1.07401i | ||||
\(712\) | 2601.18i | 0.136915i | ||||||||
\(713\) | −7097.94 | − | 4098.00i | −0.372819 | − | 0.215247i | ||||
\(714\) | 36858.9 | − | 26960.2i | 1.93195 | − | 1.41311i | ||||
\(715\) | −3091.92 | − | 884.374i | −0.161722 | − | 0.0462570i | ||||
\(716\) | −28125.4 | − | 48714.6i | −1.46801 | − | 2.54267i | ||||
\(717\) | 10912.3 | + | 14918.8i | 0.568377 | + | 0.777062i | ||||
\(718\) | −51225.8 | − | 29575.2i | −2.66257 | − | 1.53724i | ||||
\(719\) | 31449.7 | 1.63126 | 0.815631 | − | 0.578573i | \(-0.196390\pi\) | ||||
0.815631 | + | 0.578573i | \(0.196390\pi\) | |||||||
\(720\) | −26026.6 | − | 17288.9i | −1.34716 | − | 0.894888i | ||||
\(721\) | 9041.81 | 0.467038 | ||||||||
\(722\) | 30007.1 | + | 17324.6i | 1.54674 | + | 0.893012i | ||||
\(723\) | −6226.27 | + | 14105.7i | −0.320273 | + | 0.725585i | ||||
\(724\) | 19992.3 | + | 34627.8i | 1.02626 | + | 1.77753i | ||||
\(725\) | 28281.6 | − | 15085.8i | 1.44876 | − | 0.772789i | ||||
\(726\) | −1457.29 | − | 13451.0i | −0.0744975 | − | 0.687622i | ||||
\(727\) | −6895.32 | − | 3981.01i | −0.351765 | − | 0.203092i | 0.313697 | − | 0.949523i | \(-0.398432\pi\) |
−0.665462 | + | 0.746431i | \(0.731766\pi\) | |||||||
\(728\) | 10209.8i | 0.519780i | ||||||||
\(729\) | 15698.8 | − | 11873.0i | 0.797582 | − | 0.603210i | ||||
\(730\) | −24885.5 | − | 25735.5i | −1.26172 | − | 1.30481i | ||||
\(731\) | 11133.4 | − | 19283.7i | 0.563317 | − | 0.975694i | ||||
\(732\) | 7190.25 | − | 778.998i | 0.363059 | − | 0.0393341i | ||||
\(733\) | 9529.06 | − | 5501.61i | 0.480169 | − | 0.277226i | −0.240318 | − | 0.970694i | \(-0.577252\pi\) |
0.720487 | + | 0.693469i | \(0.243918\pi\) | |||||||
\(734\) | −6521.41 | − | 11295.4i | −0.327942 | − | 0.568012i | ||||
\(735\) | −5369.21 | + | 1977.76i | −0.269451 | + | 0.0992528i | ||||
\(736\) | 11696.5 | − | 20258.9i | 0.585786 | − | 1.01461i | ||||
\(737\) | 13331.8i | 0.666328i | ||||||||
\(738\) | 8164.49 | + | 37237.4i | 0.407234 | + | 1.85735i | ||||
\(739\) | −24719.1 | −1.23046 | −0.615228 | − | 0.788349i | \(-0.710936\pi\) | ||||
−0.615228 | + | 0.788349i | \(0.710936\pi\) | |||||||
\(740\) | 7700.97 | + | 30799.8i | 0.382559 | + | 1.53003i | ||||
\(741\) | 81.0831 | − | 59.3077i | 0.00401979 | − | 0.00294025i | ||||
\(742\) | 3290.00 | − | 1899.48i | 0.162776 | − | 0.0939786i | ||||
\(743\) | 11541.3 | − | 6663.39i | 0.569866 | − | 0.329012i | −0.187230 | − | 0.982316i | \(-0.559951\pi\) |
0.757096 | + | 0.653304i | \(0.226618\pi\) | |||||||
\(744\) | −9724.13 | + | 7112.65i | −0.479172 | + | 0.350487i | ||||
\(745\) | 27828.9 | − | 6958.13i | 1.36855 | − | 0.342183i | ||||
\(746\) | 22742.4 | 1.11616 | ||||||||
\(747\) | −5868.76 | − | 1865.43i | −0.287452 | − | 0.0913689i | ||||
\(748\) | 41474.6i | 2.02735i | ||||||||
\(749\) | 135.891 | − | 235.370i | 0.00662929 | − | 0.0114823i | ||||
\(750\) | −34848.2 | + | 11523.2i | −1.69663 | + | 0.561023i | ||||
\(751\) | 11900.5 | + | 20612.2i | 0.578234 | + | 1.00153i | 0.995682 | + | 0.0928298i | \(0.0295913\pi\) |
−0.417448 | + | 0.908701i | \(0.637075\pi\) | |||||||
\(752\) | 859.503 | − | 496.234i | 0.0416793 | − | 0.0240636i | ||||
\(753\) | −4667.73 | + | 505.706i | −0.225898 | + | 0.0244740i | ||||
\(754\) | −6526.02 | + | 11303.4i | −0.315204 | + | 0.545949i | ||||
\(755\) | 11692.7 | + | 12092.0i | 0.563629 | + | 0.582880i | ||||
\(756\) | 16455.3 | + | 49037.3i | 0.791633 | + | 2.35909i | ||||
\(757\) | 20867.5i | 1.00191i | 0.865474 | + | 0.500953i | \(0.167017\pi\) | ||||
−0.865474 | + | 0.500953i | \(0.832983\pi\) | |||||||
\(758\) | −25774.0 | − | 14880.6i | −1.23503 | − | 0.713046i | ||||
\(759\) | −2726.65 | − | 25167.3i | −0.130397 | − | 1.20358i | ||||
\(760\) | −995.739 | − | 284.808i | −0.0475253 | − | 0.0135935i | ||||
\(761\) | 7743.76 | + | 13412.6i | 0.368871 | + | 0.638904i | 0.989389 | − | 0.145288i | \(-0.0464110\pi\) |
−0.620518 | + | 0.784192i | \(0.713078\pi\) | |||||||
\(762\) | 2939.27 | − | 6658.97i | 0.139735 | − | 0.316573i | ||||
\(763\) | 365.912 | + | 211.260i | 0.0173616 | + | 0.0100237i | ||||
\(764\) | −59458.9 | −2.81564 | ||||||||
\(765\) | −24931.7 | − | 1566.50i | −1.17831 | − | 0.0740353i | ||||
\(766\) | −40536.7 | −1.91208 | ||||||||
\(767\) | 4908.05 | + | 2833.66i | 0.231055 | + | 0.133400i | ||||
\(768\) | 24270.6 | + | 33181.8i | 1.14035 | + | 1.55904i | ||||
\(769\) | −9233.99 | − | 15993.7i | −0.433012 | − | 0.749999i | 0.564119 | − | 0.825693i | \(-0.309216\pi\) |
−0.997131 | + | 0.0756946i | \(0.975883\pi\) | |||||||
\(770\) | 9326.46 | − | 32606.9i | 0.436496 | − | 1.52607i | ||||
\(771\) | 6225.94 | − | 4553.92i | 0.290819 | − | 0.212718i | ||||
\(772\) | −42217.0 | − | 24374.0i | −1.96816 | − | 1.13632i | ||||
\(773\) | − | 15379.9i | − | 0.715621i | −0.933794 | − | 0.357810i | \(-0.883523\pi\) | ||
0.933794 | − | 0.357810i | \(-0.116477\pi\) | |||||||
\(774\) | 24744.4 | + | 27130.2i | 1.14912 | + | 1.25992i | ||||
\(775\) | −201.658 | + | 6003.17i | −0.00934681 | + | 0.278246i | ||||
\(776\) | −2332.80 | + | 4040.53i | −0.107916 | + | 0.186916i | ||||
\(777\) | 7134.98 | − | 16164.4i | 0.329428 | − | 0.746327i | ||||
\(778\) | 732.655 | − | 422.999i | 0.0337622 | − | 0.0194926i | ||||
\(779\) | 268.147 | + | 464.444i | 0.0123329 | + | 0.0213613i | ||||
\(780\) | 6568.00 | − | 7889.15i | 0.301503 | − | 0.362150i | ||||
\(781\) | 4525.13 | − | 7837.76i | 0.207327 | − | 0.359100i | ||||
\(782\) | − | 71341.3i | − | 3.26235i | ||||||
\(783\) | −7141.63 | + | 35259.9i | −0.325953 | + | 1.60931i | ||||
\(784\) | −10194.7 | −0.464407 | ||||||||
\(785\) | 3249.45 | + | 12996.1i | 0.147742 | + | 0.590892i | ||||
\(786\) | −1421.76 | − | 13123.0i | −0.0645198 | − | 0.595526i | ||||
\(787\) | 33127.1 | − | 19125.9i | 1.50045 | − | 0.866284i | 0.500448 | − | 0.865767i | \(-0.333169\pi\) |
1.00000 | 0.000517066i | \(-0.000164587\pi\) | ||||||||
\(788\) | −44701.4 | + | 25808.3i | −2.02084 | + | 1.16673i | ||||
\(789\) | −12914.0 | − | 5700.26i | −0.582703 | − | 0.257205i | ||||
\(790\) | 10846.7 | + | 43381.3i | 0.488494 | + | 1.95372i | ||||
\(791\) | 23756.7 | 1.06788 | ||||||||
\(792\) | −35463.0 | − | 11272.2i | −1.59106 | − | 0.505732i | ||||
\(793\) | 798.826i | 0.0357720i | ||||||||
\(794\) | 14892.9 | − | 25795.2i | 0.665653 | − | 1.15295i | ||||
\(795\) | −2047.95 | − | 352.955i | −0.0913625 | − | 0.0157459i | ||||
\(796\) | 43245.8 | + | 74903.9i | 1.92564 | + | 3.33530i | ||||
\(797\) | −33759.1 | + | 19490.8i | −1.50039 | + | 0.866249i | −0.500388 | + | 0.865801i | \(0.666809\pi\) |
−1.00000 | 0.000448165i | \(0.999857\pi\) | ||||||||
\(798\) | 625.449 | + | 855.088i | 0.0277452 | + | 0.0379321i | ||||
\(799\) | 396.740 | − | 687.174i | 0.0175665 | − | 0.0304261i | ||||
\(800\) | −17134.2 | − | 575.572i | −0.757233 | − | 0.0254369i | ||||
\(801\) | −1421.77 | + | 311.731i | −0.0627164 | + | 0.0137509i | ||||
\(802\) | − | 13307.4i | − | 0.585911i | ||||||
\(803\) | −15670.8 | − | 9047.53i | −0.688680 | − | 0.397609i | ||||
\(804\) | −38931.8 | − | 17184.5i | −1.70773 | − | 0.753793i | ||||
\(805\) | −11018.8 | + | 38523.6i | −0.482437 | + | 1.68668i | ||||
\(806\) | −1222.92 | − | 2118.16i | −0.0534436 | − | 0.0925670i | ||||
\(807\) | −38705.7 | + | 4193.41i | −1.68836 | + | 0.182918i | ||||
\(808\) | −45272.8 | − | 26138.2i | −1.97115 | − | 1.13804i | ||||
\(809\) | 4490.50 | 0.195152 | 0.0975758 | − | 0.995228i | \(-0.468891\pi\) | ||||
0.0975758 | + | 0.995228i | \(0.468891\pi\) | |||||||
\(810\) | 14916.4 | − | 38400.0i | 0.647047 | − | 1.66573i | ||||
\(811\) | 33791.9 | 1.46312 | 0.731562 | − | 0.681775i | \(-0.238792\pi\) | ||||
0.731562 | + | 0.681775i | \(0.238792\pi\) | |||||||
\(812\) | −81874.5 | − | 47270.2i | −3.53846 | − | 2.04293i | ||||
\(813\) | 10399.1 | − | 1126.65i | 0.448601 | − | 0.0486018i | ||||
\(814\) | 11681.8 | + | 20233.5i | 0.503006 | + | 0.871231i | ||||
\(815\) | −23701.2 | − | 6779.18i | −1.01867 | − | 0.291367i | ||||
\(816\) | −40718.1 | − | 17973.0i | −1.74684 | − | 0.771053i | ||||
\(817\) | 447.361 | + | 258.284i | 0.0191569 | + | 0.0110602i | ||||
\(818\) | 69195.7i | 2.95766i | ||||||||
\(819\) | −5580.54 | + | 1223.56i | −0.238095 | + | 0.0522036i | ||||
\(820\) | 38094.3 | + | 39395.4i | 1.62233 | + | 1.67774i | ||||
\(821\) | −3382.78 | + | 5859.15i | −0.143800 | + | 0.249069i | −0.928925 | − | 0.370269i | \(-0.879266\pi\) |
0.785125 | + | 0.619338i | \(0.212599\pi\) | |||||||
\(822\) | 34438.5 | + | 47083.0i | 1.46129 | + | 1.99782i | ||||
\(823\) | 34076.3 | − | 19674.0i | 1.44329 | − | 0.833282i | 0.445219 | − | 0.895422i | \(-0.353126\pi\) |
0.998067 | + | 0.0621398i | \(0.0197925\pi\) | |||||||
\(824\) | −10381.8 | − | 17981.8i | −0.438916 | − | 0.760225i | ||||
\(825\) | −15333.3 | + | 10443.8i | −0.647076 | + | 0.440734i | ||||
\(826\) | −29883.3 | + | 51759.4i | −1.25881 | + | 2.18031i | ||||
\(827\) | − | 632.071i | − | 0.0265771i | −0.999912 | − | 0.0132885i | \(-0.995770\pi\) | ||
0.999912 | − | 0.0132885i | \(-0.00423000\pi\) | |||||||
\(828\) | 77008.7 | + | 24477.8i | 3.23217 | + | 1.02737i | ||||
\(829\) | 19585.8 | 0.820560 | 0.410280 | − | 0.911959i | \(-0.365431\pi\) | ||||
0.410280 | + | 0.911959i | \(0.365431\pi\) | |||||||
\(830\) | −12503.6 | + | 3126.31i | −0.522899 | + | 0.130742i | ||||
\(831\) | −16975.2 | − | 7492.83i | −0.708618 | − | 0.312784i | ||||
\(832\) | −1176.02 | + | 678.978i | −0.0490040 | + | 0.0282925i | ||||
\(833\) | −7058.66 | + | 4075.32i | −0.293599 | + | 0.169510i | ||||
\(834\) | −7447.69 | − | 68743.1i | −0.309223 | − | 2.85417i | ||||
\(835\) | 3070.26 | + | 12279.4i | 0.127246 | + | 0.508918i | ||||
\(836\) | −962.167 | −0.0398053 | ||||||||
\(837\) | −5053.04 | − | 4462.69i | −0.208672 | − | 0.184293i | ||||
\(838\) | − | 1308.94i | − | 0.0539577i | ||||||
\(839\) | 5836.32 | − | 10108.8i | 0.240157 | − | 0.415965i | −0.720602 | − | 0.693349i | \(-0.756134\pi\) |
0.960759 | + | 0.277385i | \(0.0894676\pi\) | |||||||
\(840\) | 45265.1 | + | 37684.9i | 1.85928 | + | 1.54792i | ||||
\(841\) | −20683.3 | − | 35824.5i | −0.848057 | − | 1.46888i | ||||
\(842\) | 59718.5 | − | 34478.5i | 2.44422 | − | 1.41117i | ||||
\(843\) | 14187.2 | − | 32141.4i | 0.579636 | − | 1.31318i | ||||
\(844\) | 47537.9 | − | 82338.0i | 1.93877 | − | 3.35805i | ||||
\(845\) | −16286.6 | − | 16842.9i | −0.663048 | − | 0.685695i | ||||
\(846\) | 881.767 | + | 966.786i | 0.0358343 | + | 0.0392893i | ||||
\(847\) | 10824.4i | 0.439114i | ||||||||
\(848\) | −3206.55 | − | 1851.31i | −0.129851 | − | 0.0749694i | ||||
\(849\) | −16827.4 | + | 12308.3i | −0.680231 | + | 0.497551i | ||||
\(850\) | −46131.0 | + | 24606.9i | −1.86151 | + | 0.992952i | ||||
\(851\) | −13801.5 | − | 23904.9i | −0.555946 | − | 0.962927i | ||||
\(852\) | 17055.2 | + | 23317.1i | 0.685798 | + | 0.937596i | ||||
\(853\) | 19140.0 | + | 11050.5i | 0.768276 | + | 0.443565i | 0.832259 | − | 0.554386i | \(-0.187047\pi\) |
−0.0639830 | + | 0.997951i | \(0.520380\pi\) | |||||||
\(854\) | −8424.28 | −0.337556 | ||||||||
\(855\) | 36.3412 | − | 578.390i | 0.00145362 | − | 0.0231351i | ||||
\(856\) | −624.118 | −0.0249205 | ||||||||
\(857\) | −25892.3 | − | 14948.9i | −1.03205 | − | 0.595853i | −0.114477 | − | 0.993426i | \(-0.536519\pi\) |
−0.917571 | + | 0.397573i | \(0.869853\pi\) | |||||||
\(858\) | 3050.53 | − | 6911.04i | 0.121379 | − | 0.274987i | ||||
\(859\) | 7041.73 | + | 12196.6i | 0.279698 | + | 0.484452i | 0.971310 | − | 0.237818i | \(-0.0764322\pi\) |
−0.691611 | + | 0.722270i | \(0.743099\pi\) | |||||||
\(860\) | 50750.3 | + | 14516.0i | 2.01229 | + | 0.575571i | ||||
\(861\) | −3285.09 | − | 30321.8i | −0.130030 | − | 1.20019i | ||||
\(862\) | 58035.1 | + | 33506.6i | 2.29313 | + | 1.32394i | ||||
\(863\) | − | 11367.8i | − | 0.448396i | −0.974544 | − | 0.224198i | \(-0.928024\pi\) | ||
0.974544 | − | 0.224198i | \(-0.0719762\pi\) | |||||||
\(864\) | 12737.4 | − | 14422.4i | 0.501545 | − | 0.567893i | ||||
\(865\) | −14901.1 | + | 14409.0i | −0.585727 | + | 0.566381i | ||||
\(866\) | −37857.5 | + | 65571.2i | −1.48551 | + | 2.57298i | ||||
\(867\) | −9997.27 | + | 1083.11i | −0.391609 | + | 0.0424273i | ||||
\(868\) | 15342.6 | − | 8858.04i | 0.599955 | − | 0.346384i | ||||
\(869\) | 11301.1 | + | 19574.2i | 0.441157 | + | 0.764106i | ||||
\(870\) | 26025.7 | + | 70654.5i | 1.01420 | + | 2.75335i | ||||
\(871\) | 2350.19 | − | 4070.65i | 0.0914272 | − | 0.158357i | ||||
\(872\) | − | 970.272i | − | 0.0376807i | ||||||
\(873\) | −2488.07 | − | 790.854i | −0.0964587 | − | 0.0306602i | ||||
\(874\) | 1655.04 | 0.0640534 | ||||||||
\(875\) | 28710.9 | − | 6162.45i | 1.10926 | − | 0.238090i | ||||
\(876\) | 46620.1 | − | 34100.0i | 1.79811 | − | 1.31522i | ||||
\(877\) | −38815.9 | + | 22410.4i | −1.49455 | + | 0.862879i | −0.999980 | − | 0.00625950i | \(-0.998008\pi\) |
−0.494569 | + | 0.869138i | \(0.664674\pi\) | |||||||
\(878\) | 32227.5 | − | 18606.6i | 1.23875 | − | 0.715195i | ||||
\(879\) | −10258.7 | + | 7503.64i | −0.393648 | + | 0.287931i | ||||
\(880\) | −32067.1 | + | 8017.84i | −1.22839 | + | 0.307138i | ||||
\(881\) | 11986.7 | 0.458391 | 0.229196 | − | 0.973380i | \(-0.426390\pi\) | ||||
0.229196 | + | 0.973380i | \(0.426390\pi\) | |||||||
\(882\) | −2878.63 | − | 13129.1i | −0.109896 | − | 0.501226i | ||||
\(883\) | − | 14223.4i | − | 0.542078i | −0.962568 | − | 0.271039i | \(-0.912633\pi\) | ||
0.962568 | − | 0.271039i | \(-0.0873672\pi\) | |||||||
\(884\) | 7311.32 | − | 12663.6i | 0.278175 | − | 0.481813i | ||||
\(885\) | 30678.9 | − | 11300.6i | 1.16527 | − | 0.429228i | ||||
\(886\) | 4012.67 | + | 6950.14i | 0.152154 | + | 0.263538i | ||||
\(887\) | 20039.8 | − | 11570.0i | 0.758592 | − | 0.437973i | −0.0701980 | − | 0.997533i | \(-0.522363\pi\) |
0.828790 | + | 0.559560i | \(0.189030\pi\) | |||||||
\(888\) | −40339.2 | + | 4370.39i | −1.52443 | + | 0.165158i | ||||
\(889\) | −2911.69 | + | 5043.19i | −0.109848 | + | 0.190262i | ||||
\(890\) | −2189.97 | + | 2117.64i | −0.0824809 | + | 0.0797567i | ||||
\(891\) | 1911.28 | − | 20734.5i | 0.0718633 | − | 0.779608i | ||||
\(892\) | − | 71666.0i | − | 2.69008i | ||||||
\(893\) | 15.9417 | + | 9.20394i | 0.000597389 | + | 0.000344903i | ||||
\(894\) | 7257.95 | + | 66991.8i | 0.271524 | + | 2.50620i | ||||
\(895\) | 9856.55 | − | 34460.2i | 0.368121 | − | 1.28701i | ||||
\(896\) | −18687.5 | − | 32367.7i | −0.696770 | − | 1.20684i | ||||
\(897\) | −3604.07 | + | 8165.09i | −0.134154 | + | 0.303929i | ||||
\(898\) | −32092.0 | − | 18528.3i | −1.19257 | − | 0.688528i | ||||
\(899\) | 12322.0 | 0.457133 | ||||||||
\(900\) | −10733.7 | − | 58238.5i | −0.397544 | − | 2.15698i | ||||
\(901\) | −2960.24 | −0.109456 | ||||||||
\(902\) | 34925.6 | + | 20164.3i | 1.28924 | + | 0.744344i | ||||
\(903\) | −17343.6 | − | 23711.4i | −0.639156 | − | 0.873828i | ||||
\(904\) | −27277.4 | − | 47245.9i | −1.00358 | − | 1.73825i | ||||
\(905\) | −7006.33 | + | 24495.3i | −0.257346 | + | 0.899726i | ||||
\(906\) | −31891.9 | + | 23327.1i | −1.16947 | + | 0.855400i | ||||
\(907\) | −21240.0 | − | 12262.9i | −0.777576 | − | 0.448934i | 0.0579945 | − | 0.998317i | \(-0.481529\pi\) |
−0.835571 | + | 0.549383i | \(0.814863\pi\) | |||||||
\(908\) | − | 3892.32i | − | 0.142259i | ||||||
\(909\) | 8861.24 | − | 27878.0i | 0.323332 | − | 1.01722i | ||||
\(910\) | −8595.76 | + | 8311.86i | −0.313128 | + | 0.302786i | ||||
\(911\) | 4226.93 | − | 7321.26i | 0.153726 | − | 0.266261i | −0.778868 | − | 0.627187i | \(-0.784206\pi\) |
0.932594 | + | 0.360926i | \(0.117539\pi\) | |||||||
\(912\) | 416.954 | − | 944.617i | 0.0151389 | − | 0.0342976i | ||||
\(913\) | −5641.78 | + | 3257.28i | −0.204508 | + | 0.118073i | ||||
\(914\) | 15913.2 | + | 27562.5i | 0.575888 | + | 0.997467i | ||||
\(915\) | 3541.60 | + | 2948.51i | 0.127958 | + | 0.106530i | ||||
\(916\) | 14020.3 | − | 24283.8i | 0.505724 | − | 0.875940i | ||||
\(917\) | 10560.5i | 0.380302i | ||||||||
\(918\) | 11648.9 | − | 57513.6i | 0.418815 | − | 2.06779i | ||||
\(919\) | −29199.7 | −1.04811 | −0.524053 | − | 0.851686i | \(-0.675581\pi\) | ||||
−0.524053 | + | 0.851686i | \(0.675581\pi\) | |||||||
\(920\) | 89265.2 | − | 22319.2i | 3.19890 | − | 0.799830i | ||||
\(921\) | 3100.10 | + | 28614.3i | 0.110914 | + | 1.02375i | ||||
\(922\) | 27731.5 | − | 16010.8i | 0.990553 | − | 0.571896i | ||||
\(923\) | −2763.35 | + | 1595.42i | −0.0985447 | + | 0.0568948i | ||||
\(924\) | 50059.0 | + | 22096.0i | 1.78227 | + | 0.786695i | ||||
\(925\) | −10697.1 | + | 17169.6i | −0.380237 | + | 0.610307i | ||||
\(926\) | −11603.4 | −0.411783 | ||||||||
\(927\) | 8584.44 | − | 7829.53i | 0.304153 | − | 0.277406i | ||||
\(928\) | 35169.5i | 1.24407i | ||||||||
\(929\) | −25303.4 | + | 43826.7i | −0.893624 | + | 1.54780i | −0.0581262 | + | 0.998309i | \(0.518513\pi\) |
−0.835498 | + | 0.549493i | \(0.814821\pi\) | |||||||
\(930\) | −13904.7 | − | 2396.42i | −0.490273 | − | 0.0844964i | ||||
\(931\) | −94.5431 | − | 163.754i | −0.00332817 | − | 0.00576456i | ||||
\(932\) | −100602. | + | 58082.3i | −3.53574 | + | 2.04136i | ||||
\(933\) | 10814.1 | + | 14784.6i | 0.379462 | + | 0.518786i | ||||
\(934\) | −15625.1 | + | 27063.4i | −0.547396 | + | 0.948118i | ||||
\(935\) | −18997.8 | + | 18370.3i | −0.664485 | + | 0.642539i | ||||
\(936\) | 8840.92 | + | 9693.34i | 0.308733 | + | 0.338501i | ||||
\(937\) | − | 30351.9i | − | 1.05822i | −0.848553 | − | 0.529110i | \(-0.822526\pi\) | ||
0.848553 | − | 0.529110i | \(-0.177474\pi\) | |||||||
\(938\) | 42928.3 | + | 24784.7i | 1.49431 | + | 0.862738i | ||||
\(939\) | 32850.6 | + | 14500.2i | 1.14168 | + | 0.503938i | ||||
\(940\) | 1808.49 | + | 517.277i | 0.0627515 | + | 0.0179486i | ||||
\(941\) | 11250.3 | + | 19486.0i | 0.389743 | + | 0.675054i | 0.992415 | − | 0.122935i | \(-0.0392306\pi\) |
−0.602672 | + | 0.797989i | \(0.705897\pi\) | |||||||
\(942\) | −31285.2 | + | 3389.46i | −1.08209 | + | 0.117234i | ||||
\(943\) | −41263.1 | − | 23823.3i | −1.42493 | − | 0.822686i | ||||
\(944\) | 58250.8 | 2.00837 | ||||||||
\(945\) | −15173.4 | + | 29257.6i | −0.522318 | + | 1.00714i | ||||
\(946\) | 38845.3 | 1.33506 | ||||||||
\(947\) | 31722.1 | + | 18314.7i | 1.08852 | + | 0.628457i | 0.933182 | − | 0.359404i | \(-0.117020\pi\) |
0.155338 | + | 0.987861i | \(0.450353\pi\) | |||||||
\(948\) | −71727.8 | + | 7771.05i | −2.45739 | + | 0.266236i | ||||
\(949\) | 3189.88 | + | 5525.03i | 0.109112 | + | 0.188988i | ||||
\(950\) | −570.853 | − | 1070.19i | −0.0194957 | − | 0.0365490i | ||||
\(951\) | 20011.3 | + | 8832.97i | 0.682345 | + | 0.301187i | ||||
\(952\) | 72659.1 | + | 41949.8i | 2.47363 | + | 1.42815i | ||||
\(953\) | − | 29632.2i | − | 1.00722i | −0.863931 | − | 0.503611i | \(-0.832005\pi\) | ||
0.863931 | − | 0.503611i | \(-0.167995\pi\) | |||||||
\(954\) | 1478.77 | − | 4652.29i | 0.0501854 | − | 0.157886i | ||||
\(955\) | −26336.1 | − | 27235.6i | −0.892373 | − | 0.922853i | ||||
\(956\) | −31208.1 | + | 54054.1i | −1.05580 | + | 1.82870i | ||||
\(957\) | 22468.6 | + | 30718.2i | 0.758941 | + | 1.03759i | ||||
\(958\) | −17063.9 | + | 9851.85i | −0.575480 | + | 0.332254i | ||||
\(959\) | −23334.8 | − | 40417.0i | −0.785734 | − | 1.36093i | ||||
\(960\) | −1330.52 | + | 7720.05i | −0.0447315 | + | 0.259545i | ||||
\(961\) | 13741.0 | − | 23800.1i | 0.461246 | − | 0.798901i | ||||
\(962\) | − | 8237.27i | − | 0.276071i | ||||||
\(963\) | −74.7957 | − | 341.135i | −0.00250286 | − | 0.0114153i | ||||
\(964\) | −52066.4 | −1.73957 | ||||||||
\(965\) | −7534.44 | − | 30133.8i | −0.251339 | − | 1.00522i | ||||
\(966\) | −86107.6 | − | 38007.9i | −2.86798 | − | 1.26592i | ||||
\(967\) | −43054.3 | + | 24857.4i | −1.43178 | + | 0.826639i | −0.997257 | − | 0.0740216i | \(-0.976417\pi\) |
−0.434524 | + | 0.900660i | \(0.643083\pi\) | |||||||
\(968\) | 21526.8 | − | 12428.5i | 0.714772 | − | 0.412674i | ||||
\(969\) | −88.9175 | − | 820.719i | −0.00294782 | − | 0.0272088i | ||||
\(970\) | −5300.93 | + | 1325.41i | −0.175467 | + | 0.0438724i | ||||
\(971\) | −22201.1 | −0.733745 | −0.366872 | − | 0.930271i | \(-0.619571\pi\) | ||||
−0.366872 | + | 0.930271i | \(0.619571\pi\) | |||||||
\(972\) | 58085.6 | + | 32307.7i | 1.91677 | + | 1.06612i | ||||
\(973\) | 55319.4i | 1.82267i | ||||||||
\(974\) | 37342.2 | − | 64678.6i | 1.22846 | − | 2.12776i | ||||
\(975\) | 6522.85 | − | 485.808i | 0.214255 | − | 0.0159572i | ||||
\(976\) | 4105.31 | + | 7110.61i | 0.134639 | + | 0.233202i | ||||
\(977\) | −6847.97 | + | 3953.68i | −0.224244 | + | 0.129467i | −0.607914 | − | 0.794003i | \(-0.707993\pi\) |
0.383670 | + | 0.923470i | \(0.374660\pi\) | |||||||
\(978\) | 23383.9 | − | 52976.6i | 0.764553 | − | 1.73211i | ||||
\(979\) | −769.901 | + | 1333.51i | −0.0251340 | + | 0.0435333i | ||||
\(980\) | −13431.3 | − | 13890.0i | −0.437802 | − | 0.452756i | ||||
\(981\) | 530.338 | − | 116.279i | 0.0172603 | − | 0.00378442i | ||||
\(982\) | 18383.9i | 0.597406i | ||||||||
\(983\) | 7088.28 | + | 4092.42i | 0.229991 | + | 0.132785i | 0.610568 | − | 0.791964i | \(-0.290941\pi\) |
−0.380577 | + | 0.924749i | \(0.624275\pi\) | |||||||
\(984\) | −56530.2 | + | 41348.6i | −1.83142 | + | 1.33958i | ||||
\(985\) | −31621.3 | − | 9044.55i | −1.02288 | − | 0.292572i | ||||
\(986\) | 53627.9 | + | 92886.3i | 1.73211 | + | 3.00010i | ||||
\(987\) | −618.038 | − | 844.957i | −0.0199315 | − | 0.0272495i | ||||
\(988\) | 293.782 | + | 169.615i | 0.00945996 | + | 0.00546171i | ||||
\(989\) | −45894.0 | −1.47558 | ||||||||
\(990\) | −19380.4 | − | 39033.5i | −0.622172 | − | 1.25310i | ||||
\(991\) | −4964.85 | −0.159146 | −0.0795729 | − | 0.996829i | \(-0.525356\pi\) | ||||
−0.0795729 | + | 0.996829i | \(0.525356\pi\) | |||||||
\(992\) | −5707.50 | − | 3295.23i | −0.182675 | − | 0.105467i | ||||
\(993\) | 3559.16 | − | 8063.34i | 0.113743 | − | 0.257686i | ||||
\(994\) | −16825.0 | − | 29141.8i | −0.536879 | − | 0.929901i | ||||
\(995\) | −15155.5 | + | 52986.2i | −0.482876 | + | 1.68822i | ||||
\(996\) | −2239.82 | − | 20673.8i | −0.0712564 | − | 0.657706i | ||||
\(997\) | 6147.30 | + | 3549.14i | 0.195273 | + | 0.112741i | 0.594449 | − | 0.804134i | \(-0.297370\pi\) |
−0.399176 | + | 0.916874i | \(0.630704\pi\) | |||||||
\(998\) | 16465.8i | 0.522261i | ||||||||
\(999\) | −7223.14 | − | 21525.1i | −0.228759 | − | 0.681707i |
(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 | 45.4.j.a.34.1 | yes | 32 | |
3.2 | odd | 2 | 135.4.j.a.19.16 | 32 | |||
5.2 | odd | 4 | 225.4.e.g.151.16 | 32 | |||
5.3 | odd | 4 | 225.4.e.g.151.1 | 32 | |||
5.4 | even | 2 | inner | 45.4.j.a.34.16 | yes | 32 | |
9.2 | odd | 6 | 405.4.b.f.244.1 | 16 | |||
9.4 | even | 3 | inner | 45.4.j.a.4.16 | yes | 32 | |
9.5 | odd | 6 | 135.4.j.a.64.1 | 32 | |||
9.7 | even | 3 | 405.4.b.e.244.16 | 16 | |||
15.14 | odd | 2 | 135.4.j.a.19.1 | 32 | |||
45.2 | even | 12 | 2025.4.a.bl.1.16 | 16 | |||
45.4 | even | 6 | inner | 45.4.j.a.4.1 | ✓ | 32 | |
45.7 | odd | 12 | 2025.4.a.bk.1.1 | 16 | |||
45.13 | odd | 12 | 225.4.e.g.76.1 | 32 | |||
45.14 | odd | 6 | 135.4.j.a.64.16 | 32 | |||
45.22 | odd | 12 | 225.4.e.g.76.16 | 32 | |||
45.29 | odd | 6 | 405.4.b.f.244.16 | 16 | |||
45.34 | even | 6 | 405.4.b.e.244.1 | 16 | |||
45.38 | even | 12 | 2025.4.a.bl.1.1 | 16 | |||
45.43 | odd | 12 | 2025.4.a.bk.1.16 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.4.j.a.4.1 | ✓ | 32 | 45.4 | even | 6 | inner | |
45.4.j.a.4.16 | yes | 32 | 9.4 | even | 3 | inner | |
45.4.j.a.34.1 | yes | 32 | 1.1 | even | 1 | trivial | |
45.4.j.a.34.16 | yes | 32 | 5.4 | even | 2 | inner | |
135.4.j.a.19.1 | 32 | 15.14 | odd | 2 | |||
135.4.j.a.19.16 | 32 | 3.2 | odd | 2 | |||
135.4.j.a.64.1 | 32 | 9.5 | odd | 6 | |||
135.4.j.a.64.16 | 32 | 45.14 | odd | 6 | |||
225.4.e.g.76.1 | 32 | 45.13 | odd | 12 | |||
225.4.e.g.76.16 | 32 | 45.22 | odd | 12 | |||
225.4.e.g.151.1 | 32 | 5.3 | odd | 4 | |||
225.4.e.g.151.16 | 32 | 5.2 | odd | 4 | |||
405.4.b.e.244.1 | 16 | 45.34 | even | 6 | |||
405.4.b.e.244.16 | 16 | 9.7 | even | 3 | |||
405.4.b.f.244.1 | 16 | 9.2 | odd | 6 | |||
405.4.b.f.244.16 | 16 | 45.29 | odd | 6 | |||
2025.4.a.bk.1.1 | 16 | 45.7 | odd | 12 | |||
2025.4.a.bk.1.16 | 16 | 45.43 | odd | 12 | |||
2025.4.a.bl.1.1 | 16 | 45.38 | even | 12 | |||
2025.4.a.bl.1.16 | 16 | 45.2 | even | 12 |