Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,3,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), 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: | \(1.03542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 15.2 | ||
Character | \(\chi\) | \(=\) | 38.15 |
Dual form | 38.3.f.a.33.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.483690 | + | 1.32893i | −0.241845 | + | 0.664463i | ||||
\(3\) | 3.64826 | − | 0.643286i | 1.21609 | − | 0.214429i | 0.471446 | − | 0.881895i | \(-0.343732\pi\) |
0.744640 | + | 0.667466i | \(0.232621\pi\) | |||||||
\(4\) | −1.53209 | − | 1.28558i | −0.383022 | − | 0.321394i | ||||
\(5\) | 0.297798 | − | 0.249882i | 0.0595597 | − | 0.0499765i | −0.612522 | − | 0.790454i | \(-0.709845\pi\) |
0.672082 | + | 0.740477i | \(0.265400\pi\) | |||||||
\(6\) | −0.909744 | + | 5.15941i | −0.151624 | + | 0.859902i | ||||
\(7\) | −2.96431 | + | 5.13434i | −0.423473 | + | 0.733477i | −0.996277 | − | 0.0862156i | \(-0.972523\pi\) |
0.572803 | + | 0.819693i | \(0.305856\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 4.43872 | − | 1.61556i | 0.493191 | − | 0.179507i | ||||
\(10\) | 0.188033 | + | 0.516617i | 0.0188033 | + | 0.0516617i | ||||
\(11\) | −8.13043 | − | 14.0823i | −0.739130 | − | 1.28021i | −0.952888 | − | 0.303324i | \(-0.901904\pi\) |
0.213758 | − | 0.976887i | \(-0.431430\pi\) | |||||||
\(12\) | −6.41645 | − | 3.70454i | −0.534704 | − | 0.308711i | ||||
\(13\) | 1.76528 | + | 0.311267i | 0.135791 | + | 0.0239436i | 0.241131 | − | 0.970493i | \(-0.422482\pi\) |
−0.105339 | + | 0.994436i | \(0.533593\pi\) | |||||||
\(14\) | −5.38935 | − | 6.42278i | −0.384954 | − | 0.458770i | ||||
\(15\) | 0.925699 | − | 1.10320i | 0.0617132 | − | 0.0735470i | ||||
\(16\) | 0.694593 | + | 3.93923i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −24.3446 | − | 8.86071i | −1.43204 | − | 0.521218i | −0.494521 | − | 0.869166i | \(-0.664657\pi\) |
−0.937514 | + | 0.347947i | \(0.886879\pi\) | |||||||
\(18\) | 6.68017i | 0.371120i | ||||||||
\(19\) | 18.6700 | − | 3.52570i | 0.982632 | − | 0.185563i | ||||
\(20\) | −0.777496 | −0.0388748 | ||||||||
\(21\) | −7.51173 | + | 20.6383i | −0.357701 | + | 0.982776i | ||||
\(22\) | 22.6470 | − | 3.99327i | 1.02941 | − | 0.181512i | ||||
\(23\) | 32.3354 | + | 27.1326i | 1.40589 | + | 1.17968i | 0.958415 | + | 0.285379i | \(0.0921196\pi\) |
0.447471 | + | 0.894299i | \(0.352325\pi\) | |||||||
\(24\) | 8.02662 | − | 6.73514i | 0.334443 | − | 0.280631i | ||||
\(25\) | −4.31496 | + | 24.4714i | −0.172598 | + | 0.978855i | ||||
\(26\) | −1.26750 | + | 2.19538i | −0.0487500 | + | 0.0844375i | ||||
\(27\) | −13.7197 | + | 7.92106i | −0.508136 | + | 0.293373i | ||||
\(28\) | 11.1422 | − | 4.05542i | 0.397935 | − | 0.144836i | ||||
\(29\) | −9.40038 | − | 25.8273i | −0.324151 | − | 0.890598i | −0.989560 | − | 0.144119i | \(-0.953965\pi\) |
0.665409 | − | 0.746479i | \(-0.268257\pi\) | |||||||
\(30\) | 1.01833 | + | 1.76379i | 0.0339442 | + | 0.0587931i | ||||
\(31\) | 17.4291 | + | 10.0627i | 0.562229 | + | 0.324603i | 0.754040 | − | 0.656829i | \(-0.228103\pi\) |
−0.191811 | + | 0.981432i | \(0.561436\pi\) | |||||||
\(32\) | −5.57091 | − | 0.982302i | −0.174091 | − | 0.0306970i | ||||
\(33\) | −38.7208 | − | 46.1457i | −1.17336 | − | 1.39835i | ||||
\(34\) | 23.5505 | − | 28.0663i | 0.692660 | − | 0.825481i | ||||
\(35\) | 0.400214 | + | 2.26973i | 0.0114347 | + | 0.0648494i | ||||
\(36\) | −8.87745 | − | 3.23113i | −0.246596 | − | 0.0897535i | ||||
\(37\) | 19.4424i | 0.525471i | 0.964868 | + | 0.262736i | \(0.0846247\pi\) | ||||
−0.964868 | + | 0.262736i | \(0.915375\pi\) | |||||||
\(38\) | −4.34510 | + | 26.5164i | −0.114345 | + | 0.697800i | ||||
\(39\) | 6.64044 | 0.170268 | ||||||||
\(40\) | 0.376067 | − | 1.03323i | 0.00940167 | − | 0.0258309i | ||||
\(41\) | −18.6213 | + | 3.28344i | −0.454179 | + | 0.0800839i | −0.396058 | − | 0.918226i | \(-0.629622\pi\) |
−0.0581209 | + | 0.998310i | \(0.518511\pi\) | |||||||
\(42\) | −23.7934 | − | 19.9651i | −0.566510 | − | 0.475358i | ||||
\(43\) | 37.5820 | − | 31.5350i | 0.874000 | − | 0.733373i | −0.0909364 | − | 0.995857i | \(-0.528986\pi\) |
0.964936 | + | 0.262484i | \(0.0845416\pi\) | |||||||
\(44\) | −5.64734 | + | 32.0276i | −0.128349 | + | 0.727901i | ||||
\(45\) | 0.918143 | − | 1.59027i | 0.0204032 | − | 0.0353394i | ||||
\(46\) | −51.6975 | + | 29.8476i | −1.12386 | + | 0.648860i | ||||
\(47\) | 52.0500 | − | 18.9446i | 1.10745 | − | 0.403077i | 0.277390 | − | 0.960757i | \(-0.410531\pi\) |
0.830056 | + | 0.557680i | \(0.188308\pi\) | |||||||
\(48\) | 5.06810 | + | 13.9245i | 0.105586 | + | 0.290094i | ||||
\(49\) | 6.92569 | + | 11.9956i | 0.141341 | + | 0.244809i | ||||
\(50\) | −30.4335 | − | 17.5708i | −0.608671 | − | 0.351416i | ||||
\(51\) | −94.5153 | − | 16.6656i | −1.85324 | − | 0.326776i | ||||
\(52\) | −2.30441 | − | 2.74629i | −0.0443157 | − | 0.0528134i | ||||
\(53\) | −9.03932 | + | 10.7726i | −0.170553 | + | 0.203257i | −0.844550 | − | 0.535477i | \(-0.820132\pi\) |
0.673997 | + | 0.738734i | \(0.264576\pi\) | |||||||
\(54\) | −3.89044 | − | 22.0638i | −0.0720451 | − | 0.408588i | ||||
\(55\) | −5.94015 | − | 2.16204i | −0.108003 | − | 0.0393098i | ||||
\(56\) | 16.7687i | 0.299441i | ||||||||
\(57\) | 65.8450 | − | 24.8728i | 1.15517 | − | 0.436365i | ||||
\(58\) | 38.8695 | 0.670163 | ||||||||
\(59\) | 7.58069 | − | 20.8278i | 0.128486 | − | 0.353013i | −0.858724 | − | 0.512439i | \(-0.828742\pi\) |
0.987210 | + | 0.159426i | \(0.0509643\pi\) | |||||||
\(60\) | −2.83651 | + | 0.500152i | −0.0472751 | + | 0.00833587i | ||||
\(61\) | −10.9255 | − | 9.16757i | −0.179106 | − | 0.150288i | 0.548827 | − | 0.835936i | \(-0.315075\pi\) |
−0.727933 | + | 0.685648i | \(0.759519\pi\) | |||||||
\(62\) | −21.8028 | + | 18.2948i | −0.351659 | + | 0.295077i | ||||
\(63\) | −4.86291 | + | 27.5790i | −0.0771891 | + | 0.437761i | ||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0.603479 | − | 0.348419i | 0.00928429 | − | 0.00536029i | ||||
\(66\) | 80.0531 | − | 29.1369i | 1.21293 | − | 0.441469i | ||||
\(67\) | 12.7327 | + | 34.9828i | 0.190040 | + | 0.522131i | 0.997720 | − | 0.0674903i | \(-0.0214992\pi\) |
−0.807680 | + | 0.589621i | \(0.799277\pi\) | |||||||
\(68\) | 25.9070 | + | 44.8722i | 0.380985 | + | 0.659885i | ||||
\(69\) | 135.422 | + | 78.1858i | 1.96263 | + | 1.13313i | ||||
\(70\) | −3.20988 | − | 0.565989i | −0.0458554 | − | 0.00808555i | ||||
\(71\) | −20.3418 | − | 24.2424i | −0.286505 | − | 0.341443i | 0.603526 | − | 0.797343i | \(-0.293762\pi\) |
−0.890031 | + | 0.455900i | \(0.849317\pi\) | |||||||
\(72\) | 8.58785 | − | 10.2346i | 0.119276 | − | 0.142147i | ||||
\(73\) | −12.9628 | − | 73.5160i | −0.177573 | − | 1.00707i | −0.935132 | − | 0.354301i | \(-0.884719\pi\) |
0.757558 | − | 0.652767i | \(-0.226392\pi\) | |||||||
\(74\) | −25.8376 | − | 9.40410i | −0.349156 | − | 0.127082i | ||||
\(75\) | 92.0536i | 1.22738i | ||||||||
\(76\) | −33.1367 | − | 18.6000i | −0.436009 | − | 0.244737i | ||||
\(77\) | 96.4045 | 1.25201 | ||||||||
\(78\) | −3.21191 | + | 8.82466i | −0.0411784 | + | 0.113137i | ||||
\(79\) | −147.140 | + | 25.9447i | −1.86253 | + | 0.328414i | −0.987741 | − | 0.156099i | \(-0.950108\pi\) |
−0.874785 | + | 0.484512i | \(0.838997\pi\) | |||||||
\(80\) | 1.19119 | + | 0.999530i | 0.0148899 | + | 0.0124941i | ||||
\(81\) | −77.5237 | + | 65.0501i | −0.957083 | + | 0.803088i | ||||
\(82\) | 4.64349 | − | 26.3345i | 0.0566279 | − | 0.321153i | ||||
\(83\) | 29.0689 | − | 50.3489i | 0.350228 | − | 0.606613i | −0.636061 | − | 0.771639i | \(-0.719437\pi\) |
0.986289 | + | 0.165026i | \(0.0527707\pi\) | |||||||
\(84\) | 38.0407 | − | 21.9628i | 0.452866 | − | 0.261462i | ||||
\(85\) | −9.46392 | + | 3.44458i | −0.111340 | + | 0.0405245i | ||||
\(86\) | 23.7297 | + | 65.1969i | 0.275927 | + | 0.758103i | ||||
\(87\) | −50.9094 | − | 88.1776i | −0.585165 | − | 1.01354i | ||||
\(88\) | −39.8308 | − | 22.9963i | −0.452623 | − | 0.261322i | ||||
\(89\) | −91.8814 | − | 16.2012i | −1.03238 | − | 0.182036i | −0.368304 | − | 0.929705i | \(-0.620062\pi\) |
−0.664071 | + | 0.747670i | \(0.731173\pi\) | |||||||
\(90\) | 1.66926 | + | 1.98934i | 0.0185473 | + | 0.0221038i | ||||
\(91\) | −6.83101 | + | 8.14088i | −0.0750660 | + | 0.0894602i | ||||
\(92\) | −14.6597 | − | 83.1391i | −0.159344 | − | 0.903686i | ||||
\(93\) | 70.0590 | + | 25.4994i | 0.753322 | + | 0.274187i | ||||
\(94\) | 78.3339i | 0.833339i | ||||||||
\(95\) | 4.67889 | − | 5.71526i | 0.0492515 | − | 0.0601606i | ||||
\(96\) | −20.9560 | −0.218292 | ||||||||
\(97\) | 41.6935 | − | 114.552i | 0.429830 | − | 1.18095i | −0.516086 | − | 0.856537i | \(-0.672612\pi\) |
0.945916 | − | 0.324411i | \(-0.105166\pi\) | |||||||
\(98\) | −19.2912 | + | 3.40156i | −0.196849 | + | 0.0347098i | ||||
\(99\) | −58.8396 | − | 49.3723i | −0.594339 | − | 0.498710i | ||||
\(100\) | 38.0707 | − | 31.9451i | 0.380707 | − | 0.319451i | ||||
\(101\) | −23.4332 | + | 132.896i | −0.232012 | + | 1.31580i | 0.616805 | + | 0.787116i | \(0.288427\pi\) |
−0.848816 | + | 0.528688i | \(0.822684\pi\) | |||||||
\(102\) | 67.8634 | − | 117.543i | 0.665328 | − | 1.15238i | ||||
\(103\) | −92.3597 | + | 53.3239i | −0.896697 | + | 0.517708i | −0.876127 | − | 0.482080i | \(-0.839881\pi\) |
−0.0205696 | + | 0.999788i | \(0.506548\pi\) | |||||||
\(104\) | 4.76424 | − | 1.73404i | 0.0458100 | − | 0.0166735i | ||||
\(105\) | 2.92017 | + | 8.02310i | 0.0278111 | + | 0.0764105i | ||||
\(106\) | −9.94382 | − | 17.2232i | −0.0938096 | − | 0.162483i | ||||
\(107\) | 6.51505 | + | 3.76147i | 0.0608883 | + | 0.0351539i | 0.530135 | − | 0.847913i | \(-0.322141\pi\) |
−0.469247 | + | 0.883067i | \(0.655475\pi\) | |||||||
\(108\) | 31.2029 | + | 5.50191i | 0.288916 | + | 0.0509436i | ||||
\(109\) | −9.26982 | − | 11.0473i | −0.0850442 | − | 0.101352i | 0.721844 | − | 0.692055i | \(-0.243295\pi\) |
−0.806889 | + | 0.590704i | \(0.798850\pi\) | |||||||
\(110\) | 5.74638 | − | 6.84827i | 0.0522398 | − | 0.0622570i | ||||
\(111\) | 12.5070 | + | 70.9310i | 0.112676 | + | 0.639018i | ||||
\(112\) | −22.2843 | − | 8.11084i | −0.198967 | − | 0.0724182i | ||||
\(113\) | − | 141.490i | − | 1.25212i | −0.779774 | − | 0.626061i | \(-0.784666\pi\) | ||
0.779774 | − | 0.626061i | \(-0.215334\pi\) | |||||||
\(114\) | 1.20560 | + | 99.5338i | 0.0105754 | + | 0.873104i | ||||
\(115\) | 16.4094 | 0.142690 | ||||||||
\(116\) | −18.8008 | + | 51.6547i | −0.162076 | + | 0.445299i | ||||
\(117\) | 8.33848 | − | 1.47030i | 0.0712690 | − | 0.0125667i | ||||
\(118\) | 24.0119 | + | 20.1483i | 0.203490 | + | 0.170749i | ||||
\(119\) | 117.659 | − | 98.7276i | 0.988731 | − | 0.829643i | ||||
\(120\) | 0.707322 | − | 4.01142i | 0.00589435 | − | 0.0334285i | ||||
\(121\) | −71.7077 | + | 124.201i | −0.592626 | + | 1.02646i | ||||
\(122\) | 17.4676 | − | 10.0849i | 0.143177 | − | 0.0826631i | ||||
\(123\) | −65.8232 | + | 23.9577i | −0.535148 | + | 0.194778i | ||||
\(124\) | −13.7666 | − | 37.8233i | −0.111021 | − | 0.305027i | ||||
\(125\) | 9.68933 | + | 16.7824i | 0.0775146 | + | 0.134259i | ||||
\(126\) | −34.2983 | − | 19.8021i | −0.272208 | − | 0.157160i | ||||
\(127\) | 92.1323 | + | 16.2454i | 0.725451 | + | 0.127917i | 0.524166 | − | 0.851616i | \(-0.324377\pi\) |
0.201285 | + | 0.979533i | \(0.435488\pi\) | |||||||
\(128\) | 7.27231 | + | 8.66680i | 0.0568149 | + | 0.0677094i | ||||
\(129\) | 116.823 | − | 139.224i | 0.905602 | − | 1.07926i | ||||
\(130\) | 0.171126 | + | 0.970505i | 0.00131636 | + | 0.00746542i | ||||
\(131\) | 155.637 | + | 56.6473i | 1.18807 | + | 0.432422i | 0.859046 | − | 0.511899i | \(-0.171058\pi\) |
0.329025 | + | 0.944321i | \(0.393280\pi\) | |||||||
\(132\) | 120.478i | 0.912711i | ||||||||
\(133\) | −37.2416 | + | 106.310i | −0.280012 | + | 0.799320i | ||||
\(134\) | −52.6482 | −0.392897 | ||||||||
\(135\) | −2.10636 | + | 5.78718i | −0.0156027 | + | 0.0428680i | ||||
\(136\) | −72.1628 | + | 12.7242i | −0.530609 | + | 0.0935606i | ||||
\(137\) | 100.767 | + | 84.5537i | 0.735526 | + | 0.617180i | 0.931632 | − | 0.363403i | \(-0.118385\pi\) |
−0.196106 | + | 0.980583i | \(0.562830\pi\) | |||||||
\(138\) | −169.405 | + | 142.148i | −1.22757 | + | 1.03006i | ||||
\(139\) | −20.5435 | + | 116.508i | −0.147795 | + | 0.838188i | 0.817285 | + | 0.576234i | \(0.195478\pi\) |
−0.965080 | + | 0.261955i | \(0.915633\pi\) | |||||||
\(140\) | 2.30474 | − | 3.99193i | 0.0164624 | − | 0.0285138i | ||||
\(141\) | 177.705 | − | 102.598i | 1.26032 | − | 0.727645i | ||||
\(142\) | 42.0555 | − | 15.3070i | 0.296166 | − | 0.107796i | ||||
\(143\) | −9.96915 | − | 27.3900i | −0.0697143 | − | 0.191539i | ||||
\(144\) | 9.44718 | + | 16.3630i | 0.0656054 | + | 0.113632i | ||||
\(145\) | −9.25321 | − | 5.34235i | −0.0638153 | − | 0.0368438i | ||||
\(146\) | 103.967 | + | 18.3322i | 0.712105 | + | 0.125563i | ||||
\(147\) | 32.9833 | + | 39.3080i | 0.224376 | + | 0.267401i | ||||
\(148\) | 24.9947 | − | 29.7875i | 0.168883 | − | 0.201267i | ||||
\(149\) | −22.4518 | − | 127.331i | −0.150683 | − | 0.854568i | −0.962627 | − | 0.270832i | \(-0.912701\pi\) |
0.811943 | − | 0.583736i | \(-0.198410\pi\) | |||||||
\(150\) | −122.332 | − | 44.5253i | −0.815549 | − | 0.296836i | ||||
\(151\) | − | 288.719i | − | 1.91204i | −0.293294 | − | 0.956022i | \(-0.594751\pi\) | ||
0.293294 | − | 0.956022i | \(-0.405249\pi\) | |||||||
\(152\) | 40.7459 | − | 35.0395i | 0.268065 | − | 0.230523i | ||||
\(153\) | −122.374 | −0.799830 | ||||||||
\(154\) | −46.6299 | + | 128.115i | −0.302791 | + | 0.831912i | ||||
\(155\) | 7.70484 | − | 1.35857i | 0.0497087 | − | 0.00876498i | ||||
\(156\) | −10.1737 | − | 8.53679i | −0.0652163 | − | 0.0547230i | ||||
\(157\) | 89.0151 | − | 74.6926i | 0.566975 | − | 0.475749i | −0.313665 | − | 0.949534i | \(-0.601557\pi\) |
0.880641 | + | 0.473785i | \(0.157113\pi\) | |||||||
\(158\) | 36.6913 | − | 208.087i | 0.232223 | − | 1.31700i | ||||
\(159\) | −26.0479 | + | 45.1162i | −0.163823 | + | 0.283750i | ||||
\(160\) | −1.90447 | + | 1.09955i | −0.0119029 | + | 0.00687216i | ||||
\(161\) | −235.160 | + | 85.5913i | −1.46062 | + | 0.531623i | ||||
\(162\) | −48.9494 | − | 134.487i | −0.302157 | − | 0.830169i | ||||
\(163\) | −90.4066 | − | 156.589i | −0.554642 | − | 0.960668i | −0.997931 | − | 0.0642894i | \(-0.979522\pi\) |
0.443289 | − | 0.896379i | \(-0.353811\pi\) | |||||||
\(164\) | 32.7506 | + | 18.9086i | 0.199699 | + | 0.115296i | ||||
\(165\) | −23.0620 | − | 4.06645i | −0.139770 | − | 0.0246452i | ||||
\(166\) | 52.8496 | + | 62.9837i | 0.318371 | + | 0.379420i | ||||
\(167\) | −134.977 | + | 160.860i | −0.808247 | + | 0.963232i | −0.999834 | − | 0.0182441i | \(-0.994192\pi\) |
0.191586 | + | 0.981476i | \(0.438637\pi\) | |||||||
\(168\) | 10.7871 | + | 61.1765i | 0.0642087 | + | 0.364146i | ||||
\(169\) | −155.789 | − | 56.7025i | −0.921827 | − | 0.335517i | ||||
\(170\) | − | 14.2430i | − | 0.0837821i | ||||||
\(171\) | 77.1750 | − | 45.8122i | 0.451316 | − | 0.267907i | ||||
\(172\) | −98.1196 | −0.570463 | ||||||||
\(173\) | −82.3903 | + | 226.365i | −0.476244 | + | 1.30847i | 0.436413 | + | 0.899746i | \(0.356249\pi\) |
−0.912658 | + | 0.408725i | \(0.865974\pi\) | |||||||
\(174\) | 141.806 | − | 25.0042i | 0.814976 | − | 0.143702i | ||||
\(175\) | −112.853 | − | 94.6953i | −0.644877 | − | 0.541116i | ||||
\(176\) | 49.8262 | − | 41.8091i | 0.283103 | − | 0.237552i | ||||
\(177\) | 14.2581 | − | 80.8616i | 0.0805541 | − | 0.456845i | ||||
\(178\) | 65.9722 | − | 114.267i | 0.370630 | − | 0.641951i | ||||
\(179\) | 7.69927 | − | 4.44517i | 0.0430127 | − | 0.0248334i | −0.478339 | − | 0.878175i | \(-0.658761\pi\) |
0.521352 | + | 0.853342i | \(0.325428\pi\) | |||||||
\(180\) | −3.45109 | + | 1.25609i | −0.0191727 | + | 0.00697830i | ||||
\(181\) | 46.2352 | + | 127.030i | 0.255443 | + | 0.701824i | 0.999434 | + | 0.0336348i | \(0.0107083\pi\) |
−0.743991 | + | 0.668190i | \(0.767069\pi\) | |||||||
\(182\) | −7.51454 | − | 13.0156i | −0.0412887 | − | 0.0715141i | ||||
\(183\) | −45.7563 | − | 26.4174i | −0.250035 | − | 0.144357i | ||||
\(184\) | 117.576 | + | 20.7319i | 0.639002 | + | 0.112673i | ||||
\(185\) | 4.85832 | + | 5.78992i | 0.0262612 | + | 0.0312969i | ||||
\(186\) | −67.7736 | + | 80.7694i | −0.364374 | + | 0.434244i | ||||
\(187\) | 73.1527 | + | 414.870i | 0.391191 | + | 2.21855i | ||||
\(188\) | −104.100 | − | 37.8893i | −0.553723 | − | 0.201539i | ||||
\(189\) | − | 93.9220i | − | 0.496942i | ||||||
\(190\) | 5.33202 | + | 8.98231i | 0.0280633 | + | 0.0472753i | ||||
\(191\) | −109.638 | −0.574020 | −0.287010 | − | 0.957928i | \(-0.592661\pi\) | ||||
−0.287010 | + | 0.957928i | \(0.592661\pi\) | |||||||
\(192\) | 10.1362 | − | 27.8490i | 0.0527928 | − | 0.145047i | ||||
\(193\) | 311.671 | − | 54.9559i | 1.61487 | − | 0.284746i | 0.708020 | − | 0.706192i | \(-0.249589\pi\) |
0.906853 | + | 0.421446i | \(0.138477\pi\) | |||||||
\(194\) | 132.064 | + | 110.815i | 0.680744 | + | 0.571212i | ||||
\(195\) | 1.97751 | − | 1.65933i | 0.0101411 | − | 0.00850938i | ||||
\(196\) | 4.81053 | − | 27.2819i | 0.0245435 | − | 0.139193i | ||||
\(197\) | −92.7151 | + | 160.587i | −0.470635 | + | 0.815164i | −0.999436 | − | 0.0335821i | \(-0.989308\pi\) |
0.528801 | + | 0.848746i | \(0.322642\pi\) | |||||||
\(198\) | 94.0722 | − | 54.3126i | 0.475112 | − | 0.274306i | ||||
\(199\) | 44.3698 | − | 16.1493i | 0.222964 | − | 0.0811521i | −0.228123 | − | 0.973632i | \(-0.573259\pi\) |
0.451087 | + | 0.892480i | \(0.351037\pi\) | |||||||
\(200\) | 24.0383 | + | 66.0446i | 0.120191 | + | 0.330223i | ||||
\(201\) | 68.9561 | + | 119.435i | 0.343065 | + | 0.594206i | ||||
\(202\) | −165.275 | − | 95.4215i | −0.818192 | − | 0.472384i | ||||
\(203\) | 160.472 | + | 28.2955i | 0.790503 | + | 0.139387i | ||||
\(204\) | 123.381 | + | 147.040i | 0.604809 | + | 0.720783i | ||||
\(205\) | −4.72492 | + | 5.63094i | −0.0230484 | + | 0.0274680i | ||||
\(206\) | −26.1901 | − | 148.531i | −0.127136 | − | 0.721027i | ||||
\(207\) | 187.362 | + | 68.1942i | 0.905131 | + | 0.329441i | ||||
\(208\) | 7.17007i | 0.0344715i | ||||||||
\(209\) | −201.445 | − | 234.252i | −0.963853 | − | 1.12082i | ||||
\(210\) | −12.0746 | −0.0574979 | ||||||||
\(211\) | 83.5213 | − | 229.473i | 0.395835 | − | 1.08755i | −0.568458 | − | 0.822712i | \(-0.692460\pi\) |
0.964293 | − | 0.264837i | \(-0.0853180\pi\) | |||||||
\(212\) | 27.6981 | − | 4.88392i | 0.130651 | − | 0.0230374i | ||||
\(213\) | −89.8070 | − | 75.3570i | −0.421629 | − | 0.353789i | ||||
\(214\) | −8.14997 | + | 6.83864i | −0.0380840 | + | 0.0319563i | ||||
\(215\) | 3.31180 | − | 18.7822i | 0.0154037 | − | 0.0873589i | ||||
\(216\) | −22.4041 | + | 38.8051i | −0.103723 | + | 0.179653i | ||||
\(217\) | −103.331 | + | 59.6579i | −0.476178 | + | 0.274921i | ||||
\(218\) | 19.1648 | − | 6.97542i | 0.0879120 | − | 0.0319973i | ||||
\(219\) | −94.5836 | − | 259.866i | −0.431889 | − | 1.18660i | ||||
\(220\) | 6.32138 | + | 10.9489i | 0.0287335 | + | 0.0497679i | ||||
\(221\) | −40.2171 | − | 23.2193i | −0.181978 | − | 0.105065i | ||||
\(222\) | −100.312 | − | 17.6876i | −0.451854 | − | 0.0796740i | ||||
\(223\) | 161.214 | + | 192.127i | 0.722933 | + | 0.861558i | 0.994912 | − | 0.100745i | \(-0.0321227\pi\) |
−0.271979 | + | 0.962303i | \(0.587678\pi\) | |||||||
\(224\) | 21.5574 | − | 25.6911i | 0.0962384 | − | 0.114693i | ||||
\(225\) | 20.3821 | + | 115.593i | 0.0905872 | + | 0.513745i | ||||
\(226\) | 188.030 | + | 68.4372i | 0.831989 | + | 0.302819i | ||||
\(227\) | 0.891777i | 0.00392853i | 0.999998 | + | 0.00196427i | \(0.000625246\pi\) | ||||
−0.999998 | + | 0.00196427i | \(0.999375\pi\) | |||||||
\(228\) | −132.856 | − | 46.5413i | −0.582703 | − | 0.204129i | ||||
\(229\) | 289.709 | 1.26510 | 0.632552 | − | 0.774518i | \(-0.282007\pi\) | ||||
0.632552 | + | 0.774518i | \(0.282007\pi\) | |||||||
\(230\) | −7.93704 | + | 21.8068i | −0.0345089 | + | 0.0948124i | ||||
\(231\) | 351.708 | − | 62.0157i | 1.52255 | − | 0.268466i | ||||
\(232\) | −59.5515 | − | 49.9696i | −0.256687 | − | 0.215386i | ||||
\(233\) | −192.719 | + | 161.710i | −0.827118 | + | 0.694034i | −0.954627 | − | 0.297803i | \(-0.903746\pi\) |
0.127509 | + | 0.991837i | \(0.459302\pi\) | |||||||
\(234\) | −2.07932 | + | 11.7924i | −0.00888597 | + | 0.0503948i | ||||
\(235\) | 10.7665 | − | 18.6480i | 0.0458147 | − | 0.0793534i | ||||
\(236\) | −38.3900 | + | 22.1645i | −0.162669 | + | 0.0939172i | ||||
\(237\) | −520.113 | + | 189.306i | −2.19457 | + | 0.798758i | ||||
\(238\) | 74.2912 | + | 204.114i | 0.312148 | + | 0.857620i | ||||
\(239\) | 104.580 | + | 181.137i | 0.437572 | + | 0.757897i | 0.997502 | − | 0.0706430i | \(-0.0225051\pi\) |
−0.559929 | + | 0.828540i | \(0.689172\pi\) | |||||||
\(240\) | 4.98876 | + | 2.88026i | 0.0207865 | + | 0.0120011i | ||||
\(241\) | −49.6606 | − | 8.75651i | −0.206061 | − | 0.0363341i | 0.0696649 | − | 0.997570i | \(-0.477807\pi\) |
−0.275726 | + | 0.961236i | \(0.588918\pi\) | |||||||
\(242\) | −130.370 | − | 155.369i | −0.538720 | − | 0.642021i | ||||
\(243\) | −149.332 | + | 177.967i | −0.614537 | + | 0.732377i | ||||
\(244\) | 4.95321 | + | 28.0911i | 0.0203000 | + | 0.115127i | ||||
\(245\) | 5.05996 | + | 1.84167i | 0.0206529 | + | 0.00751704i | ||||
\(246\) | − | 99.0622i | − | 0.402692i | ||||||
\(247\) | 34.0553 | − | 0.412493i | 0.137876 | − | 0.00167001i | ||||
\(248\) | 56.9232 | 0.229529 | ||||||||
\(249\) | 73.6622 | − | 202.385i | 0.295832 | − | 0.812792i | ||||
\(250\) | −26.9892 | + | 4.75892i | −0.107957 | + | 0.0190357i | ||||
\(251\) | 35.2847 | + | 29.6073i | 0.140576 | + | 0.117958i | 0.710364 | − | 0.703834i | \(-0.248530\pi\) |
−0.569788 | + | 0.821792i | \(0.692975\pi\) | |||||||
\(252\) | 42.9052 | − | 36.0018i | 0.170259 | − | 0.142864i | ||||
\(253\) | 119.189 | − | 675.956i | 0.471104 | − | 2.67176i | ||||
\(254\) | −66.1523 | + | 114.579i | −0.260442 | + | 0.451099i | ||||
\(255\) | −32.3109 | + | 18.6547i | −0.126710 | + | 0.0731558i | ||||
\(256\) | −15.0351 | + | 5.47232i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −29.1491 | − | 80.0866i | −0.113421 | − | 0.311621i | 0.869975 | − | 0.493096i | \(-0.164135\pi\) |
−0.983396 | + | 0.181475i | \(0.941913\pi\) | |||||||
\(258\) | 128.512 | + | 222.590i | 0.498110 | + | 0.862752i | ||||
\(259\) | −99.8241 | − | 57.6335i | −0.385421 | − | 0.222523i | ||||
\(260\) | −1.37250 | − | 0.242009i | −0.00527885 | − | 0.000930804i | ||||
\(261\) | −83.4514 | − | 99.4535i | −0.319737 | − | 0.381048i | ||||
\(262\) | −150.560 | + | 179.431i | −0.574657 | + | 0.684850i | ||||
\(263\) | −13.4824 | − | 76.4625i | −0.0512639 | − | 0.290732i | 0.948388 | − | 0.317112i | \(-0.102713\pi\) |
−0.999652 | + | 0.0263800i | \(0.991602\pi\) | |||||||
\(264\) | −160.106 | − | 58.2739i | −0.606463 | − | 0.220734i | ||||
\(265\) | 5.46684i | 0.0206296i | ||||||||
\(266\) | −123.264 | − | 100.912i | −0.463399 | − | 0.379369i | ||||
\(267\) | −345.629 | −1.29449 | ||||||||
\(268\) | 25.4654 | − | 69.9656i | 0.0950201 | − | 0.261066i | ||||
\(269\) | −313.463 | + | 55.2719i | −1.16529 | + | 0.205472i | −0.722641 | − | 0.691224i | \(-0.757072\pi\) |
−0.442648 | + | 0.896695i | \(0.645961\pi\) | |||||||
\(270\) | −6.67191 | − | 5.59840i | −0.0247108 | − | 0.0207348i | ||||
\(271\) | 85.7299 | − | 71.9360i | 0.316347 | − | 0.265446i | −0.470763 | − | 0.882260i | \(-0.656021\pi\) |
0.787109 | + | 0.616814i | \(0.211577\pi\) | |||||||
\(272\) | 17.9948 | − | 102.054i | 0.0661574 | − | 0.375197i | ||||
\(273\) | −19.6844 | + | 34.0943i | −0.0721039 | + | 0.124888i | ||||
\(274\) | −161.106 | + | 93.0143i | −0.587977 | + | 0.339468i | ||||
\(275\) | 379.696 | − | 138.198i | 1.38071 | − | 0.502538i | ||||
\(276\) | −106.964 | − | 293.882i | −0.387552 | − | 1.06479i | ||||
\(277\) | 86.2411 | + | 149.374i | 0.311340 | + | 0.539256i | 0.978653 | − | 0.205521i | \(-0.0658890\pi\) |
−0.667313 | + | 0.744777i | \(0.732556\pi\) | |||||||
\(278\) | −144.894 | − | 83.6546i | −0.521202 | − | 0.300916i | ||||
\(279\) | 93.6198 | + | 16.5077i | 0.335555 | + | 0.0591674i | ||||
\(280\) | 4.19020 | + | 4.99369i | 0.0149650 | + | 0.0178346i | ||||
\(281\) | −5.93324 | + | 7.07097i | −0.0211147 | + | 0.0251636i | −0.776498 | − | 0.630119i | \(-0.783006\pi\) |
0.755384 | + | 0.655283i | \(0.227450\pi\) | |||||||
\(282\) | 50.3911 | + | 285.782i | 0.178692 | + | 1.01341i | ||||
\(283\) | 133.243 | + | 48.4965i | 0.470824 | + | 0.171366i | 0.566525 | − | 0.824044i | \(-0.308287\pi\) |
−0.0957017 | + | 0.995410i | \(0.530510\pi\) | |||||||
\(284\) | 63.2925i | 0.222861i | ||||||||
\(285\) | 13.3932 | − | 23.8606i | 0.0469938 | − | 0.0837213i | ||||
\(286\) | 41.2213 | 0.144130 | ||||||||
\(287\) | 38.3411 | − | 105.341i | 0.133593 | − | 0.367043i | ||||
\(288\) | −26.3147 | + | 4.63999i | −0.0913705 | + | 0.0161111i | ||||
\(289\) | 292.760 | + | 245.655i | 1.01301 | + | 0.850018i | ||||
\(290\) | 11.5753 | − | 9.71280i | 0.0399147 | − | 0.0334924i | ||||
\(291\) | 78.4189 | − | 444.736i | 0.269481 | − | 1.52830i | ||||
\(292\) | −74.6501 | + | 129.298i | −0.255651 | + | 0.442800i | ||||
\(293\) | 362.249 | − | 209.145i | 1.23634 | − | 0.713804i | 0.268000 | − | 0.963419i | \(-0.413637\pi\) |
0.968345 | + | 0.249615i | \(0.0803041\pi\) | |||||||
\(294\) | −68.1911 | + | 24.8195i | −0.231943 | + | 0.0844202i | ||||
\(295\) | −2.94698 | − | 8.09676i | −0.00998976 | − | 0.0274466i | ||||
\(296\) | 27.4958 | + | 47.6240i | 0.0928911 | + | 0.160892i | ||||
\(297\) | 223.094 | + | 128.803i | 0.751157 | + | 0.433681i | ||||
\(298\) | 180.073 | + | 31.7517i | 0.604271 | + | 0.106549i | ||||
\(299\) | 48.6356 | + | 57.9617i | 0.162661 | + | 0.193852i | ||||
\(300\) | 118.342 | − | 141.034i | 0.394473 | − | 0.470114i | ||||
\(301\) | 50.5069 | + | 286.439i | 0.167797 | + | 0.951623i | ||||
\(302\) | 383.686 | + | 139.650i | 1.27048 | + | 0.462418i | ||||
\(303\) | 499.914i | 1.64988i | ||||||||
\(304\) | 26.8566 | + | 71.0966i | 0.0883440 | + | 0.233870i | ||||
\(305\) | −5.54440 | −0.0181784 | ||||||||
\(306\) | 59.1910 | − | 162.626i | 0.193435 | − | 0.531457i | ||||
\(307\) | −396.123 | + | 69.8472i | −1.29030 | + | 0.227515i | −0.776350 | − | 0.630302i | \(-0.782931\pi\) |
−0.513954 | + | 0.857818i | \(0.671820\pi\) | |||||||
\(308\) | −147.700 | − | 123.935i | −0.479547 | − | 0.402387i | ||||
\(309\) | −302.649 | + | 253.953i | −0.979448 | + | 0.821855i | ||||
\(310\) | −1.92131 | + | 10.8963i | −0.00619778 | + | 0.0351493i | ||||
\(311\) | 1.92896 | − | 3.34106i | 0.00620244 | − | 0.0107429i | −0.862908 | − | 0.505362i | \(-0.831359\pi\) |
0.869110 | + | 0.494619i | \(0.164692\pi\) | |||||||
\(312\) | 16.2657 | − | 9.39100i | 0.0521336 | − | 0.0300994i | ||||
\(313\) | 317.780 | − | 115.663i | 1.01527 | − | 0.369529i | 0.219817 | − | 0.975541i | \(-0.429454\pi\) |
0.795455 | + | 0.606012i | \(0.207232\pi\) | |||||||
\(314\) | 56.2052 | + | 154.423i | 0.178997 | + | 0.491792i | ||||
\(315\) | 5.44333 | + | 9.42812i | 0.0172804 | + | 0.0299305i | ||||
\(316\) | 258.785 | + | 149.409i | 0.818939 | + | 0.472815i | ||||
\(317\) | 10.5173 | + | 1.85448i | 0.0331775 | + | 0.00585009i | 0.190212 | − | 0.981743i | \(-0.439082\pi\) |
−0.157035 | + | 0.987593i | \(0.550193\pi\) | |||||||
\(318\) | −47.3570 | − | 56.4379i | −0.148922 | − | 0.177478i | ||||
\(319\) | −287.279 | + | 342.366i | −0.900563 | + | 1.07325i | ||||
\(320\) | −0.540043 | − | 3.06274i | −0.00168763 | − | 0.00957105i | ||||
\(321\) | 26.1883 | + | 9.53175i | 0.0815834 | + | 0.0296939i | ||||
\(322\) | − | 353.910i | − | 1.09910i | ||||||
\(323\) | −485.754 | − | 79.5979i | −1.50388 | − | 0.246433i | ||||
\(324\) | 202.400 | 0.624691 | ||||||||
\(325\) | −15.2343 | + | 41.8558i | −0.0468747 | + | 0.128787i | ||||
\(326\) | 251.824 | − | 44.4033i | 0.772466 | − | 0.136207i | ||||
\(327\) | −40.9253 | − | 34.3404i | −0.125154 | − | 0.105016i | ||||
\(328\) | −40.9693 | + | 34.3773i | −0.124906 | + | 0.104809i | ||||
\(329\) | −57.0242 | + | 323.400i | −0.173326 | + | 0.982979i | ||||
\(330\) | 16.5589 | − | 28.6808i | 0.0501784 | − | 0.0869115i | ||||
\(331\) | −148.405 | + | 85.6815i | −0.448353 | + | 0.258857i | −0.707134 | − | 0.707079i | \(-0.750012\pi\) |
0.258782 | + | 0.965936i | \(0.416679\pi\) | |||||||
\(332\) | −109.263 | + | 39.7686i | −0.329107 | + | 0.119785i | ||||
\(333\) | 31.4105 | + | 86.2996i | 0.0943258 | + | 0.259158i | ||||
\(334\) | −148.484 | − | 257.181i | −0.444561 | − | 0.770003i | ||||
\(335\) | 12.5334 | + | 7.23614i | 0.0374130 | + | 0.0216004i | ||||
\(336\) | −86.5166 | − | 15.2552i | −0.257490 | − | 0.0454024i | ||||
\(337\) | −3.21424 | − | 3.83059i | −0.00953782 | − | 0.0113667i | 0.761254 | − | 0.648453i | \(-0.224584\pi\) |
−0.770792 | + | 0.637087i | \(0.780139\pi\) | |||||||
\(338\) | 150.707 | − | 179.605i | 0.445878 | − | 0.531377i | ||||
\(339\) | −91.0185 | − | 516.191i | −0.268491 | − | 1.52269i | ||||
\(340\) | 18.9278 | + | 6.88917i | 0.0556701 | + | 0.0202623i | ||||
\(341\) | − | 327.256i | − | 0.959695i | ||||||
\(342\) | 23.5522 | + | 124.719i | 0.0688662 | + | 0.364675i | ||||
\(343\) | −372.622 | −1.08636 | ||||||||
\(344\) | 47.4594 | − | 130.394i | 0.137963 | − | 0.379052i | ||||
\(345\) | 59.8656 | − | 10.5559i | 0.173523 | − | 0.0305969i | ||||
\(346\) | −260.972 | − | 218.981i | −0.754253 | − | 0.632894i | ||||
\(347\) | 32.3482 | − | 27.1434i | 0.0932226 | − | 0.0782231i | −0.594985 | − | 0.803737i | \(-0.702842\pi\) |
0.688208 | + | 0.725514i | \(0.258398\pi\) | |||||||
\(348\) | −35.3613 | + | 200.544i | −0.101613 | + | 0.576275i | ||||
\(349\) | 68.5275 | − | 118.693i | 0.196354 | − | 0.340095i | −0.750990 | − | 0.660314i | \(-0.770423\pi\) |
0.947344 | + | 0.320219i | \(0.103757\pi\) | |||||||
\(350\) | 180.429 | − | 104.171i | 0.515512 | − | 0.297631i | ||||
\(351\) | −26.6847 | + | 9.71243i | −0.0760248 | + | 0.0276707i | ||||
\(352\) | 31.4608 | + | 86.4379i | 0.0893773 | + | 0.245562i | ||||
\(353\) | 179.947 | + | 311.677i | 0.509765 | + | 0.882938i | 0.999936 | + | 0.0113122i | \(0.00360086\pi\) |
−0.490171 | + | 0.871626i | \(0.663066\pi\) | |||||||
\(354\) | 100.563 | + | 58.0598i | 0.284075 | + | 0.164011i | ||||
\(355\) | −12.1155 | − | 2.13629i | −0.0341282 | − | 0.00601773i | ||||
\(356\) | 119.943 | + | 142.942i | 0.336918 | + | 0.401523i | ||||
\(357\) | 365.740 | − | 435.872i | 1.02448 | − | 1.22093i | ||||
\(358\) | 2.18325 | + | 12.3818i | 0.00609847 | + | 0.0345861i | ||||
\(359\) | −322.462 | − | 117.367i | −0.898224 | − | 0.326927i | −0.148683 | − | 0.988885i | \(-0.547503\pi\) |
−0.749541 | + | 0.661958i | \(0.769726\pi\) | |||||||
\(360\) | − | 5.19380i | − | 0.0144272i | ||||||
\(361\) | 336.139 | − | 131.650i | 0.931133 | − | 0.364680i | ||||
\(362\) | −191.177 | −0.528114 | ||||||||
\(363\) | −181.711 | + | 499.247i | −0.500581 | + | 1.37534i | ||||
\(364\) | 20.9314 | − | 3.69077i | 0.0575039 | − | 0.0101395i | ||||
\(365\) | −22.2307 | − | 18.6537i | −0.0609059 | − | 0.0511061i | ||||
\(366\) | 57.2386 | − | 48.0289i | 0.156390 | − | 0.131227i | ||||
\(367\) | −31.2479 | + | 177.216i | −0.0851441 | + | 0.482876i | 0.912181 | + | 0.409787i | \(0.134397\pi\) |
−0.997325 | + | 0.0730895i | \(0.976714\pi\) | |||||||
\(368\) | −84.4216 | + | 146.223i | −0.229407 | + | 0.397344i | ||||
\(369\) | −77.3503 | + | 44.6582i | −0.209621 | + | 0.121025i | ||||
\(370\) | −10.0443 | + | 3.65583i | −0.0271468 | + | 0.00988061i | ||||
\(371\) | −28.5150 | − | 78.3444i | −0.0768600 | − | 0.211171i | ||||
\(372\) | −74.5552 | − | 129.133i | −0.200417 | − | 0.347133i | ||||
\(373\) | −614.242 | − | 354.633i | −1.64676 | − | 0.950757i | −0.978348 | − | 0.206966i | \(-0.933641\pi\) |
−0.668412 | − | 0.743791i | \(-0.733026\pi\) | |||||||
\(374\) | −586.714 | − | 103.454i | −1.56875 | − | 0.276614i | ||||
\(375\) | 46.1450 | + | 54.9935i | 0.123053 | + | 0.146649i | ||||
\(376\) | 100.704 | − | 120.014i | 0.267830 | − | 0.319187i | ||||
\(377\) | −8.55514 | − | 48.5186i | −0.0226927 | − | 0.128697i | ||||
\(378\) | 124.815 | + | 45.4291i | 0.330199 | + | 0.120183i | ||||
\(379\) | 36.9284i | 0.0974365i | 0.998813 | + | 0.0487183i | \(0.0155136\pi\) | ||||
−0.998813 | + | 0.0487183i | \(0.984486\pi\) | |||||||
\(380\) | −14.5159 | + | 2.74122i | −0.0381996 | + | 0.00721373i | ||||
\(381\) | 346.572 | 0.909639 | ||||||||
\(382\) | 53.0307 | − | 145.701i | 0.138824 | − | 0.381415i | ||||
\(383\) | 289.583 | − | 51.0612i | 0.756090 | − | 0.133319i | 0.217701 | − | 0.976015i | \(-0.430144\pi\) |
0.538389 | + | 0.842696i | \(0.319033\pi\) | |||||||
\(384\) | 32.1065 | + | 26.9405i | 0.0836106 | + | 0.0701577i | ||||
\(385\) | 28.7091 | − | 24.0898i | 0.0745691 | − | 0.0625709i | ||||
\(386\) | −77.7194 | + | 440.769i | −0.201346 | + | 1.14189i | ||||
\(387\) | 115.869 | − | 200.691i | 0.299404 | − | 0.518582i | ||||
\(388\) | −211.143 | + | 121.904i | −0.544184 | + | 0.314185i | ||||
\(389\) | −29.3487 | + | 10.6820i | −0.0754464 | + | 0.0274602i | −0.379468 | − | 0.925205i | \(-0.623893\pi\) |
0.304021 | + | 0.952665i | \(0.401671\pi\) | |||||||
\(390\) | 1.24862 | + | 3.43057i | 0.00320160 | + | 0.00879633i | ||||
\(391\) | −546.777 | − | 947.046i | −1.39841 | − | 2.42211i | ||||
\(392\) | 33.9288 | + | 19.5888i | 0.0865531 | + | 0.0499715i | ||||
\(393\) | 604.245 | + | 106.545i | 1.53752 | + | 0.271106i | ||||
\(394\) | −168.563 | − | 200.886i | −0.427826 | − | 0.509863i | ||||
\(395\) | −37.3348 | + | 44.4939i | −0.0945185 | + | 0.112643i | ||||
\(396\) | 26.6757 | + | 151.285i | 0.0673629 | + | 0.382034i | ||||
\(397\) | −383.480 | − | 139.575i | −0.965945 | − | 0.351575i | −0.189585 | − | 0.981864i | \(-0.560714\pi\) |
−0.776361 | + | 0.630289i | \(0.782936\pi\) | |||||||
\(398\) | 66.7754i | 0.167777i | ||||||||
\(399\) | −67.4796 | + | 411.801i | −0.169122 | + | 1.03208i | ||||
\(400\) | −99.3955 | −0.248489 | ||||||||
\(401\) | −85.5142 | + | 234.948i | −0.213252 | + | 0.585906i | −0.999487 | − | 0.0320219i | \(-0.989805\pi\) |
0.786235 | + | 0.617928i | \(0.212028\pi\) | |||||||
\(402\) | −192.074 | + | 33.8679i | −0.477796 | + | 0.0842484i | ||||
\(403\) | 27.6351 | + | 23.1886i | 0.0685735 | + | 0.0575400i | ||||
\(404\) | 206.750 | − | 173.484i | 0.511757 | − | 0.429415i | ||||
\(405\) | −6.83155 | + | 38.7436i | −0.0168680 | + | 0.0956633i | ||||
\(406\) | −115.221 | + | 199.569i | −0.283796 | + | 0.491550i | ||||
\(407\) | 273.794 | − | 158.075i | 0.672714 | − | 0.388391i | ||||
\(408\) | −255.083 | + | 92.8426i | −0.625203 | + | 0.227555i | ||||
\(409\) | 226.429 | + | 622.110i | 0.553617 | + | 1.52105i | 0.828735 | + | 0.559641i | \(0.189061\pi\) |
−0.275118 | + | 0.961410i | \(0.588717\pi\) | |||||||
\(410\) | −5.19771 | − | 9.00270i | −0.0126773 | − | 0.0219578i | ||||
\(411\) | 422.016 | + | 243.651i | 1.02680 | + | 0.592826i | ||||
\(412\) | 210.055 | + | 37.0384i | 0.509843 | + | 0.0898991i | ||||
\(413\) | 84.4654 | + | 100.662i | 0.204517 | + | 0.243733i | ||||
\(414\) | −181.250 | + | 216.006i | −0.437802 | + | 0.521753i | ||||
\(415\) | −3.92462 | − | 22.2576i | −0.00945691 | − | 0.0536328i | ||||
\(416\) | −9.52849 | − | 3.46809i | −0.0229050 | − | 0.00833674i | ||||
\(417\) | 438.267i | 1.05100i | ||||||||
\(418\) | 408.740 | − | 154.401i | 0.977847 | − | 0.369380i | ||||
\(419\) | 587.978 | 1.40329 | 0.701645 | − | 0.712527i | \(-0.252449\pi\) | ||||
0.701645 | + | 0.712527i | \(0.252449\pi\) | |||||||
\(420\) | 5.84034 | − | 16.0462i | 0.0139056 | − | 0.0382052i | ||||
\(421\) | −641.015 | + | 113.028i | −1.52260 | + | 0.268476i | −0.871455 | − | 0.490476i | \(-0.836823\pi\) |
−0.651147 | + | 0.758952i | \(0.725712\pi\) | |||||||
\(422\) | 264.554 | + | 221.987i | 0.626905 | + | 0.526036i | ||||
\(423\) | 200.429 | − | 168.180i | 0.473828 | − | 0.397589i | ||||
\(424\) | −6.90690 | + | 39.1710i | −0.0162899 | + | 0.0923844i | ||||
\(425\) | 321.880 | − | 557.512i | 0.757364 | − | 1.31179i | ||||
\(426\) | 143.583 | − | 82.8975i | 0.337048 | − | 0.194595i | ||||
\(427\) | 79.4560 | − | 28.9196i | 0.186080 | − | 0.0677274i | ||||
\(428\) | −5.14599 | − | 14.1385i | −0.0120233 | − | 0.0330338i | ||||
\(429\) | −53.9896 | − | 93.5128i | −0.125850 | − | 0.217979i | ||||
\(430\) | 23.3582 | + | 13.4859i | 0.0543215 | + | 0.0313625i | ||||
\(431\) | −216.189 | − | 38.1199i | −0.501599 | − | 0.0884453i | −0.0828765 | − | 0.996560i | \(-0.526411\pi\) |
−0.418722 | + | 0.908114i | \(0.637522\pi\) | |||||||
\(432\) | −40.7325 | − | 48.5431i | −0.0942881 | − | 0.112368i | ||||
\(433\) | 178.919 | − | 213.227i | 0.413207 | − | 0.492441i | −0.518793 | − | 0.854900i | \(-0.673618\pi\) |
0.932000 | + | 0.362459i | \(0.118063\pi\) | |||||||
\(434\) | −29.3011 | − | 166.175i | −0.0675140 | − | 0.382891i | ||||
\(435\) | −37.1947 | − | 13.5378i | −0.0855052 | − | 0.0311213i | ||||
\(436\) | 28.8425i | 0.0661526i | ||||||||
\(437\) | 699.363 | + | 392.561i | 1.60037 | + | 0.898309i | ||||
\(438\) | 391.092 | 0.892904 | ||||||||
\(439\) | −126.632 | + | 347.918i | −0.288455 | + | 0.792525i | 0.707828 | + | 0.706385i | \(0.249675\pi\) |
−0.996283 | + | 0.0861396i | \(0.972547\pi\) | |||||||
\(440\) | −17.6079 | + | 3.10475i | −0.0400180 | + | 0.00705625i | ||||
\(441\) | 50.1209 | + | 42.0565i | 0.113653 | + | 0.0953661i | ||||
\(442\) | 50.3094 | − | 42.2146i | 0.113822 | − | 0.0955081i | ||||
\(443\) | −97.2235 | + | 551.382i | −0.219466 | + | 1.24465i | 0.653520 | + | 0.756909i | \(0.273292\pi\) |
−0.872986 | + | 0.487745i | \(0.837820\pi\) | |||||||
\(444\) | 72.0252 | − | 124.751i | 0.162219 | − | 0.280971i | ||||
\(445\) | −31.4105 | + | 18.1349i | −0.0705854 | + | 0.0407525i | ||||
\(446\) | −333.301 | + | 121.312i | −0.747311 | + | 0.271999i | ||||
\(447\) | −163.820 | − | 450.092i | −0.366488 | − | 1.00692i | ||||
\(448\) | 23.7145 | + | 41.0747i | 0.0529342 | + | 0.0916847i | ||||
\(449\) | −127.703 | − | 73.7296i | −0.284417 | − | 0.164208i | 0.351004 | − | 0.936374i | \(-0.385840\pi\) |
−0.635422 | + | 0.772165i | \(0.719174\pi\) | |||||||
\(450\) | −163.473 | − | 28.8247i | −0.363273 | − | 0.0640548i | ||||
\(451\) | 197.638 | + | 235.536i | 0.438221 | + | 0.522252i | ||||
\(452\) | −181.896 | + | 216.775i | −0.402425 | + | 0.479591i | ||||
\(453\) | −185.729 | − | 1053.32i | −0.409997 | − | 2.32521i | ||||
\(454\) | −1.18511 | − | 0.431343i | −0.00261037 | − | 0.000950095i | ||||
\(455\) | 4.13129i | 0.00907975i | ||||||||
\(456\) | 126.111 | − | 154.045i | 0.276559 | − | 0.337817i | ||||
\(457\) | −448.874 | −0.982219 | −0.491110 | − | 0.871098i | \(-0.663409\pi\) | ||||
−0.491110 | + | 0.871098i | \(0.663409\pi\) | |||||||
\(458\) | −140.129 | + | 385.002i | −0.305959 | + | 0.840615i | ||||
\(459\) | 404.186 | − | 71.2689i | 0.880580 | − | 0.155270i | ||||
\(460\) | −25.1406 | − | 21.0955i | −0.0546535 | − | 0.0458597i | ||||
\(461\) | −93.2749 | + | 78.2670i | −0.202332 | + | 0.169776i | −0.738324 | − | 0.674447i | \(-0.764382\pi\) |
0.535992 | + | 0.844223i | \(0.319938\pi\) | |||||||
\(462\) | −87.7034 | + | 497.391i | −0.189834 | + | 1.07660i | ||||
\(463\) | 309.579 | − | 536.206i | 0.668636 | − | 1.15811i | −0.309649 | − | 0.950851i | \(-0.600212\pi\) |
0.978286 | − | 0.207261i | \(-0.0664551\pi\) | |||||||
\(464\) | 95.2104 | − | 54.9697i | 0.205195 | − | 0.118469i | ||||
\(465\) | 27.2353 | − | 9.91284i | 0.0585705 | − | 0.0213179i | ||||
\(466\) | −121.685 | − | 334.326i | −0.261126 | − | 0.717438i | ||||
\(467\) | 161.988 | + | 280.572i | 0.346870 | + | 0.600796i | 0.985692 | − | 0.168558i | \(-0.0539112\pi\) |
−0.638822 | + | 0.769355i | \(0.720578\pi\) | |||||||
\(468\) | −14.6655 | − | 8.46711i | −0.0313365 | − | 0.0180921i | ||||
\(469\) | −217.357 | − | 38.3259i | −0.463448 | − | 0.0817184i | ||||
\(470\) | 19.5743 | + | 23.3277i | 0.0416474 | + | 0.0496334i | ||||
\(471\) | 276.701 | − | 329.760i | 0.587476 | − | 0.700127i | ||||
\(472\) | −10.8861 | − | 61.7381i | −0.0230638 | − | 0.130801i | ||||
\(473\) | −749.644 | − | 272.848i | −1.58487 | − | 0.576846i | ||||
\(474\) | − | 782.757i | − | 1.65139i | ||||||
\(475\) | 5.71821 | + | 472.094i | 0.0120383 | + | 0.993882i | ||||
\(476\) | −307.186 | −0.645348 | ||||||||
\(477\) | −22.7192 | + | 62.4204i | −0.0476292 | + | 0.130860i | ||||
\(478\) | −291.302 | + | 51.3645i | −0.609419 | + | 0.107457i | ||||
\(479\) | 56.2520 | + | 47.2011i | 0.117436 | + | 0.0985408i | 0.699615 | − | 0.714520i | \(-0.253355\pi\) |
−0.582178 | + | 0.813061i | \(0.697799\pi\) | |||||||
\(480\) | −6.24067 | + | 5.23654i | −0.0130014 | + | 0.0109095i | ||||
\(481\) | −6.05179 | + | 34.3214i | −0.0125817 | + | 0.0713543i | ||||
\(482\) | 35.6571 | − | 61.7599i | 0.0739774 | − | 0.128133i | ||||
\(483\) | −802.865 | + | 463.534i | −1.66225 | + | 0.959698i | ||||
\(484\) | 269.533 | − | 98.1019i | 0.556886 | − | 0.202690i | ||||
\(485\) | −16.2083 | − | 44.5319i | −0.0334191 | − | 0.0918183i | ||||
\(486\) | −164.275 | − | 284.533i | −0.338015 | − | 0.585458i | ||||
\(487\) | −16.2303 | − | 9.37057i | −0.0333271 | − | 0.0192414i | 0.483244 | − | 0.875486i | \(-0.339458\pi\) |
−0.516571 | + | 0.856244i | \(0.672792\pi\) | |||||||
\(488\) | −39.7267 | − | 7.00490i | −0.0814073 | − | 0.0143543i | ||||
\(489\) | −430.558 | − | 513.119i | −0.880487 | − | 1.04932i | ||||
\(490\) | −4.89490 | + | 5.83351i | −0.00998959 | + | 0.0119051i | ||||
\(491\) | −58.4551 | − | 331.515i | −0.119053 | − | 0.675184i | −0.984663 | − | 0.174465i | \(-0.944180\pi\) |
0.865610 | − | 0.500718i | \(-0.166931\pi\) | |||||||
\(492\) | 131.646 | + | 47.9153i | 0.267574 | + | 0.0973889i | ||||
\(493\) | 712.050i | 1.44432i | ||||||||
\(494\) | −15.9240 | + | 45.4565i | −0.0322349 | + | 0.0920172i | ||||
\(495\) | −29.8596 | −0.0603224 | ||||||||
\(496\) | −27.5331 | + | 75.6467i | −0.0555104 | + | 0.152513i | ||||
\(497\) | 184.769 | − | 32.5797i | 0.371768 | − | 0.0655527i | ||||
\(498\) | 233.325 | + | 195.783i | 0.468525 | + | 0.393139i | ||||
\(499\) | 234.470 | − | 196.743i | 0.469879 | − | 0.394275i | −0.376872 | − | 0.926266i | \(-0.623000\pi\) |
0.846750 | + | 0.531990i | \(0.178556\pi\) | |||||||
\(500\) | 6.73014 | − | 38.1685i | 0.0134603 | − | 0.0763370i | ||||
\(501\) | −388.953 | + | 673.686i | −0.776353 | + | 1.34468i | ||||
\(502\) | −56.4128 | + | 32.5699i | −0.112376 | + | 0.0648804i | ||||
\(503\) | 466.415 | − | 169.761i | 0.927267 | − | 0.337498i | 0.166141 | − | 0.986102i | \(-0.446869\pi\) |
0.761126 | + | 0.648604i | \(0.224647\pi\) | |||||||
\(504\) | 27.0909 | + | 74.4316i | 0.0537517 | + | 0.147682i | ||||
\(505\) | 26.2301 | + | 45.4318i | 0.0519407 | + | 0.0899640i | ||||
\(506\) | 840.645 | + | 485.347i | 1.66135 | + | 0.959183i | ||||
\(507\) | −604.833 | − | 106.648i | −1.19296 | − | 0.210352i | ||||
\(508\) | −120.270 | − | 143.332i | −0.236752 | − | 0.282150i | ||||
\(509\) | 277.084 | − | 330.215i | 0.544369 | − | 0.648753i | −0.421793 | − | 0.906692i | \(-0.638599\pi\) |
0.966161 | + | 0.257939i | \(0.0830434\pi\) | |||||||
\(510\) | −9.16229 | − | 51.9619i | −0.0179653 | − | 0.101886i | ||||
\(511\) | 415.882 | + | 151.369i | 0.813859 | + | 0.296221i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | −228.219 | + | 196.258i | −0.444872 | + | 0.382569i | ||||
\(514\) | 120.528 | 0.234491 | ||||||||
\(515\) | −14.1799 | + | 38.9589i | −0.0275337 | + | 0.0756483i | ||||
\(516\) | −357.966 | + | 63.1190i | −0.693732 | + | 0.122324i | ||||
\(517\) | −689.973 | − | 578.956i | −1.33457 | − | 1.11984i | ||||
\(518\) | 124.875 | − | 104.782i | 0.241070 | − | 0.202282i | ||||
\(519\) | −154.963 | + | 878.840i | −0.298580 | + | 1.69333i | ||||
\(520\) | 0.985477 | − | 1.70690i | 0.00189515 | − | 0.00328249i | ||||
\(521\) | 15.6249 | − | 9.02106i | 0.0299903 | − | 0.0173149i | −0.484930 | − | 0.874553i | \(-0.661155\pi\) |
0.514920 | + | 0.857238i | \(0.327822\pi\) | |||||||
\(522\) | 172.531 | − | 62.7961i | 0.330519 | − | 0.120299i | ||||
\(523\) | 43.7031 | + | 120.073i | 0.0835624 | + | 0.229586i | 0.974436 | − | 0.224666i | \(-0.0721290\pi\) |
−0.890874 | + | 0.454251i | \(0.849907\pi\) | |||||||
\(524\) | −165.626 | − | 286.872i | −0.316080 | − | 0.547466i | ||||
\(525\) | −472.634 | − | 272.876i | −0.900256 | − | 0.519763i | ||||
\(526\) | 108.134 | + | 19.0670i | 0.205579 | + | 0.0362490i | ||||
\(527\) | −335.142 | − | 399.406i | −0.635942 | − | 0.757887i | ||||
\(528\) | 154.883 | − | 184.583i | 0.293340 | − | 0.349589i | ||||
\(529\) | 217.538 | + | 1233.72i | 0.411226 | + | 2.33218i | ||||
\(530\) | −7.26503 | − | 2.64425i | −0.0137076 | − | 0.00498916i | ||||
\(531\) | − | 104.696i | − | 0.197167i | ||||||
\(532\) | 193.726 | − | 114.999i | 0.364147 | − | 0.216163i | ||||
\(533\) | −33.8939 | −0.0635909 | ||||||||
\(534\) | 167.177 | − | 459.315i | 0.313066 | − | 0.860141i | ||||
\(535\) | 2.88010 | − | 0.507838i | 0.00538336 | − | 0.000949231i | ||||
\(536\) | 80.6617 | + | 67.6832i | 0.150488 | + | 0.126275i | ||||
\(537\) | 25.2294 | − | 21.1700i | 0.0469821 | − | 0.0394226i | ||||
\(538\) | 78.1663 | − | 443.303i | 0.145291 | − | 0.823984i | ||||
\(539\) | 112.618 | − | 195.059i | 0.208938 | − | 0.361891i | ||||
\(540\) | 10.6670 | − | 6.15859i | 0.0197537 | − | 0.0114048i | ||||
\(541\) | 640.195 | − | 233.012i | 1.18335 | − | 0.430706i | 0.325969 | − | 0.945380i | \(-0.394309\pi\) |
0.857386 | + | 0.514675i | \(0.172087\pi\) | |||||||
\(542\) | 54.1309 | + | 148.723i | 0.0998725 | + | 0.274397i | ||||
\(543\) | 250.395 | + | 433.696i | 0.461132 | + | 0.798704i | ||||
\(544\) | 126.918 | + | 73.2760i | 0.233305 | + | 0.134699i | ||||
\(545\) | −5.52107 | − | 0.973514i | −0.0101304 | − | 0.00178626i | ||||
\(546\) | −35.7877 | − | 42.6501i | −0.0655452 | − | 0.0781137i | ||||
\(547\) | 181.686 | − | 216.525i | 0.332151 | − | 0.395842i | −0.573959 | − | 0.818884i | \(-0.694593\pi\) |
0.906110 | + | 0.423042i | \(0.139038\pi\) | |||||||
\(548\) | −45.6841 | − | 259.087i | −0.0833652 | − | 0.472787i | ||||
\(549\) | −63.3060 | − | 23.0415i | −0.115311 | − | 0.0419699i | ||||
\(550\) | 571.433i | 1.03897i | ||||||||
\(551\) | −266.565 | − | 449.054i | −0.483783 | − | 0.814980i | ||||
\(552\) | 442.285 | 0.801242 | ||||||||
\(553\) | 302.959 | − | 832.373i | 0.547846 | − | 1.50520i | ||||
\(554\) | −240.221 | + | 42.3574i | −0.433611 | + | 0.0764574i | ||||
\(555\) | 21.4490 | + | 17.9978i | 0.0386468 | + | 0.0324285i | ||||
\(556\) | 181.255 | − | 152.091i | 0.325997 | − | 0.273544i | ||||
\(557\) | −23.2813 | + | 132.035i | −0.0417977 | + | 0.237047i | −0.998548 | − | 0.0538627i | \(-0.982847\pi\) |
0.956751 | + | 0.290909i | \(0.0939578\pi\) | |||||||
\(558\) | −67.2204 | + | 116.429i | −0.120467 | + | 0.208655i | ||||
\(559\) | 76.1587 | − | 43.9703i | 0.136241 | − | 0.0786588i | ||||
\(560\) | −8.66300 | + | 3.15307i | −0.0154696 | + | 0.00563049i | ||||
\(561\) | 533.760 | + | 1466.49i | 0.951443 | + | 2.61407i | ||||
\(562\) | −6.52694 | − | 11.3050i | −0.0116138 | − | 0.0201157i | ||||
\(563\) | −65.0895 | − | 37.5795i | −0.115612 | − | 0.0667486i | 0.441079 | − | 0.897468i | \(-0.354596\pi\) |
−0.556691 | + | 0.830720i | \(0.687929\pi\) | |||||||
\(564\) | −404.157 | − | 71.2637i | −0.716590 | − | 0.126354i | ||||
\(565\) | −35.3558 | − | 42.1354i | −0.0625767 | − | 0.0745760i | ||||
\(566\) | −128.897 | + | 153.613i | −0.227733 | + | 0.271401i | ||||
\(567\) | −104.185 | − | 590.862i | −0.183748 | − | 1.04208i | ||||
\(568\) | −84.1111 | − | 30.6139i | −0.148083 | − | 0.0538978i | ||||
\(569\) | − | 184.239i | − | 0.323794i | −0.986808 | − | 0.161897i | \(-0.948239\pi\) | ||
0.986808 | − | 0.161897i | \(-0.0517612\pi\) | |||||||
\(570\) | 25.2308 | + | 29.3397i | 0.0442645 | + | 0.0514732i | ||||
\(571\) | 90.1138 | 0.157818 | 0.0789088 | − | 0.996882i | \(-0.474856\pi\) | ||||
0.0789088 | + | 0.996882i | \(0.474856\pi\) | |||||||
\(572\) | −19.9383 | + | 54.7800i | −0.0348572 | + | 0.0957693i | ||||
\(573\) | −399.987 | + | 70.5285i | −0.698058 | + | 0.123086i | ||||
\(574\) | 121.446 | + | 101.905i | 0.211578 | + | 0.177535i | ||||
\(575\) | −803.497 | + | 674.214i | −1.39739 | + | 1.17255i | ||||
\(576\) | 6.56194 | − | 37.2146i | 0.0113923 | − | 0.0646087i | ||||
\(577\) | 162.882 | − | 282.120i | 0.282291 | − | 0.488943i | −0.689657 | − | 0.724136i | \(-0.742239\pi\) |
0.971949 | + | 0.235193i | \(0.0755722\pi\) | |||||||
\(578\) | −468.063 | + | 270.236i | −0.809797 | + | 0.467537i | ||||
\(579\) | 1101.70 | − | 400.987i | 1.90277 | − | 0.692550i | ||||
\(580\) | 7.30876 | + | 20.0806i | 0.0126013 | + | 0.0346218i | ||||
\(581\) | 172.339 | + | 298.500i | 0.296625 | + | 0.513769i | ||||
\(582\) | 553.091 | + | 319.327i | 0.950327 | + | 0.548672i | ||||
\(583\) | 225.197 | + | 39.7083i | 0.386273 | + | 0.0681104i | ||||
\(584\) | −135.720 | − | 161.744i | −0.232397 | − | 0.276960i | ||||
\(585\) | 2.11578 | − | 2.52149i | 0.00361672 | − | 0.00431024i | ||||
\(586\) | 102.722 | + | 582.563i | 0.175293 | + | 0.994135i | ||||
\(587\) | 835.717 | + | 304.176i | 1.42371 | + | 0.518188i | 0.935121 | − | 0.354327i | \(-0.115290\pi\) |
0.488587 | + | 0.872515i | \(0.337512\pi\) | |||||||
\(588\) | − | 102.626i | − | 0.174534i | ||||||
\(589\) | 360.879 | + | 126.421i | 0.612699 | + | 0.214637i | ||||
\(590\) | 12.1854 | 0.0206532 | ||||||||
\(591\) | −234.945 | + | 645.506i | −0.397538 | + | 1.09223i | ||||
\(592\) | −76.5882 | + | 13.5046i | −0.129372 | + | 0.0228118i | ||||
\(593\) | −267.026 | − | 224.062i | −0.450297 | − | 0.377844i | 0.389249 | − | 0.921133i | \(-0.372735\pi\) |
−0.839546 | + | 0.543288i | \(0.817179\pi\) | |||||||
\(594\) | −279.078 | + | 234.174i | −0.469828 | + | 0.394233i | ||||
\(595\) | 10.3683 | − | 58.8018i | 0.0174258 | − | 0.0988266i | ||||
\(596\) | −129.295 | + | 223.945i | −0.216938 | + | 0.375747i | ||||
\(597\) | 151.484 | − | 87.4592i | 0.253742 | − | 0.146498i | ||||
\(598\) | −100.551 | + | 36.5977i | −0.168146 | + | 0.0612001i | ||||
\(599\) | −392.697 | − | 1078.93i | −0.655588 | − | 1.80121i | −0.595993 | − | 0.802990i | \(-0.703241\pi\) |
−0.0595953 | − | 0.998223i | \(-0.518981\pi\) | |||||||
\(600\) | 130.183 | + | 225.484i | 0.216972 | + | 0.375807i | ||||
\(601\) | 197.455 | + | 114.000i | 0.328543 | + | 0.189685i | 0.655194 | − | 0.755460i | \(-0.272587\pi\) |
−0.326651 | + | 0.945145i | \(0.605920\pi\) | |||||||
\(602\) | −405.085 | − | 71.4275i | −0.672899 | − | 0.118650i | ||||
\(603\) | 113.034 | + | 134.708i | 0.187452 | + | 0.223397i | ||||
\(604\) | −371.170 | + | 442.343i | −0.614519 | + | 0.732356i | ||||
\(605\) | 9.68131 | + | 54.9055i | 0.0160022 | + | 0.0907528i | ||||
\(606\) | −664.348 | − | 241.803i | −1.09628 | − | 0.399015i | ||||
\(607\) | 1077.82i | 1.77566i | 0.460174 | + | 0.887829i | \(0.347787\pi\) | ||||
−0.460174 | + | 0.887829i | \(0.652213\pi\) | |||||||
\(608\) | −107.472 | + | 1.30175i | −0.176764 | + | 0.00214104i | ||||
\(609\) | 603.645 | 0.991207 | ||||||||
\(610\) | 2.68177 | − | 7.36810i | 0.00439634 | − | 0.0120789i | ||||
\(611\) | 97.7798 | − | 17.2412i | 0.160032 | − | 0.0282180i | ||||
\(612\) | 187.488 | + | 157.321i | 0.306353 | + | 0.257060i | ||||
\(613\) | 664.095 | − | 557.242i | 1.08335 | − | 0.909041i | 0.0871583 | − | 0.996194i | \(-0.472221\pi\) |
0.996195 | + | 0.0871532i | \(0.0277770\pi\) | |||||||
\(614\) | 98.7789 | − | 560.203i | 0.160878 | − | 0.912383i | ||||
\(615\) | −13.6154 | + | 23.5826i | −0.0221389 | + | 0.0383457i | ||||
\(616\) | 236.142 | − | 136.337i | 0.383347 | − | 0.221326i | ||||
\(617\) | −572.032 | + | 208.203i | −0.927119 | + | 0.337444i | −0.761067 | − | 0.648673i | \(-0.775324\pi\) |
−0.166052 | + | 0.986117i | \(0.553102\pi\) | |||||||
\(618\) | −191.096 | − | 525.033i | −0.309218 | − | 0.849568i | ||||
\(619\) | 91.1210 | + | 157.826i | 0.147207 | + | 0.254970i | 0.930194 | − | 0.367068i | \(-0.119638\pi\) |
−0.782987 | + | 0.622038i | \(0.786305\pi\) | |||||||
\(620\) | −13.5511 | − | 7.82370i | −0.0218565 | − | 0.0126189i | ||||
\(621\) | −658.549 | − | 116.120i | −1.06047 | − | 0.186989i | ||||
\(622\) | 3.50700 | + | 4.17948i | 0.00563826 | + | 0.00671942i | ||||
\(623\) | 355.548 | − | 423.725i | 0.570702 | − | 0.680137i | ||||
\(624\) | 4.61240 | + | 26.1582i | 0.00739167 | + | 0.0419202i | ||||
\(625\) | −576.679 | − | 209.894i | −0.922686 | − | 0.335830i | ||||
\(626\) | 478.251i | 0.763979i | ||||||||
\(627\) | −885.614 | − | 725.023i | −1.41246 | − | 1.15634i | ||||
\(628\) | −232.402 | −0.370067 | ||||||||
\(629\) | 172.274 | − | 473.318i | 0.273885 | − | 0.752493i | ||||
\(630\) | −15.1622 | + | 2.67350i | −0.0240669 | + | 0.00424365i | ||||
\(631\) | 205.728 | + | 172.626i | 0.326035 | + | 0.273576i | 0.791082 | − | 0.611710i | \(-0.209518\pi\) |
−0.465047 | + | 0.885286i | \(0.653963\pi\) | |||||||
\(632\) | −323.726 | + | 271.638i | −0.512224 | + | 0.429807i | ||||
\(633\) | 157.090 | − | 890.904i | 0.248168 | − | 1.40743i | ||||
\(634\) | −7.55156 | + | 13.0797i | −0.0119110 | + | 0.0206304i | ||||
\(635\) | 31.4963 | − | 18.1844i | 0.0496004 | − | 0.0286368i | ||||
\(636\) | 97.9079 | − | 35.6356i | 0.153943 | − | 0.0560308i | ||||
\(637\) | 8.49196 | + | 23.3315i | 0.0133312 | + | 0.0366271i | ||||
\(638\) | −316.025 | − | 547.372i | −0.495338 | − | 0.857950i | ||||
\(639\) | −129.457 | − | 74.7420i | −0.202593 | − | 0.116967i | ||||
\(640\) | 4.33136 | + | 0.763736i | 0.00676776 | + | 0.00119334i | ||||
\(641\) | −786.917 | − | 937.811i | −1.22764 | − | 1.46304i | −0.841196 | − | 0.540730i | \(-0.818148\pi\) |
−0.386443 | − | 0.922313i | \(-0.626296\pi\) | |||||||
\(642\) | −25.3340 | + | 30.1919i | −0.0394610 | + | 0.0470278i | ||||
\(643\) | −73.9991 | − | 419.670i | −0.115084 | − | 0.652675i | −0.986709 | − | 0.162500i | \(-0.948044\pi\) |
0.871624 | − | 0.490174i | \(-0.163067\pi\) | |||||||
\(644\) | 470.320 | + | 171.183i | 0.730311 | + | 0.265811i | ||||
\(645\) | − | 70.6526i | − | 0.109539i | ||||||
\(646\) | 340.734 | − | 607.031i | 0.527452 | − | 0.939676i | ||||
\(647\) | 546.821 | 0.845163 | 0.422582 | − | 0.906325i | \(-0.361124\pi\) | ||||
0.422582 | + | 0.906325i | \(0.361124\pi\) | |||||||
\(648\) | −97.8988 | + | 268.975i | −0.151078 | + | 0.415084i | ||||
\(649\) | −354.937 | + | 62.5850i | −0.546899 | + | 0.0964330i | ||||
\(650\) | −48.2546 | − | 40.4904i | −0.0742379 | − | 0.0622930i | ||||
\(651\) | −338.599 | + | 284.119i | −0.520122 | + | 0.436434i | ||||
\(652\) | −62.7958 | + | 356.133i | −0.0963126 | + | 0.546216i | ||||
\(653\) | −485.458 | + | 840.838i | −0.743428 | + | 1.28765i | 0.207498 | + | 0.978235i | \(0.433468\pi\) |
−0.950926 | + | 0.309419i | \(0.899865\pi\) | |||||||
\(654\) | 65.4309 | − | 37.7766i | 0.100047 | − | 0.0577623i | ||||
\(655\) | 60.5037 | − | 22.0215i | 0.0923720 | − | 0.0336207i | ||||
\(656\) | −25.8685 | − | 71.0730i | −0.0394336 | − | 0.108343i | ||||
\(657\) | −176.308 | − | 305.375i | −0.268353 | − | 0.464802i | ||||
\(658\) | −402.193 | − | 232.206i | −0.611235 | − | 0.352897i | ||||
\(659\) | 57.2312 | + | 10.0914i | 0.0868456 | + | 0.0153132i | 0.216902 | − | 0.976193i | \(-0.430405\pi\) |
−0.130056 | + | 0.991507i | \(0.541516\pi\) | |||||||
\(660\) | 30.1053 | + | 35.8781i | 0.0456141 | + | 0.0543608i | ||||
\(661\) | −675.405 | + | 804.917i | −1.02179 | + | 1.21773i | −0.0460205 | + | 0.998940i | \(0.514654\pi\) |
−0.975773 | + | 0.218786i | \(0.929790\pi\) | |||||||
\(662\) | −42.0826 | − | 238.662i | −0.0635689 | − | 0.360517i | ||||
\(663\) | −161.659 | − | 58.8390i | −0.243829 | − | 0.0887466i | ||||
\(664\) | − | 164.439i | − | 0.247649i | ||||||
\(665\) | 15.4744 | + | 40.9648i | 0.0232697 | + | 0.0616012i | ||||
\(666\) | −129.879 | −0.195013 | ||||||||
\(667\) | 396.798 | − | 1090.19i | 0.594899 | − | 1.63447i | ||||
\(668\) | 413.594 | − | 72.9279i | 0.619153 | − | 0.109173i | ||||
\(669\) | 711.743 | + | 597.223i | 1.06389 | + | 0.892710i | ||||
\(670\) | −15.6785 | + | 13.1559i | −0.0234008 | + | 0.0196356i | ||||
\(671\) | −40.2717 | + | 228.392i | −0.0600175 | + | 0.340376i | ||||
\(672\) | 62.1202 | − | 107.595i | 0.0924408 | − | 0.160112i | ||||
\(673\) | −561.669 | + | 324.280i | −0.834576 | + | 0.481842i | −0.855417 | − | 0.517940i | \(-0.826699\pi\) |
0.0208412 | + | 0.999783i | \(0.493366\pi\) | |||||||
\(674\) | 6.64526 | − | 2.41868i | 0.00985944 | − | 0.00358854i | ||||
\(675\) | −134.639 | − | 369.918i | −0.199466 | − | 0.548027i | ||||
\(676\) | 165.787 | + | 287.151i | 0.245247 | + | 0.424780i | ||||
\(677\) | −291.669 | − | 168.395i | −0.430826 | − | 0.248737i | 0.268873 | − | 0.963176i | \(-0.413349\pi\) |
−0.699698 | + | 0.714438i | \(0.746682\pi\) | |||||||
\(678\) | 730.005 | + | 128.720i | 1.07670 | + | 0.189852i | ||||
\(679\) | 464.556 | + | 553.637i | 0.684177 | + | 0.815371i | ||||
\(680\) | −18.3104 | + | 21.8215i | −0.0269270 | + | 0.0320904i | ||||
\(681\) | 0.573668 | + | 3.25343i | 0.000842390 | + | 0.00477743i | ||||
\(682\) | 434.899 | + | 158.290i | 0.637682 | + | 0.232097i | ||||
\(683\) | 914.053i | 1.33829i | 0.743131 | + | 0.669146i | \(0.233340\pi\) | ||||
−0.743131 | + | 0.669146i | \(0.766660\pi\) | |||||||
\(684\) | −177.134 | − | 29.0260i | −0.258968 | − | 0.0424357i | ||||
\(685\) | 51.1368 | 0.0746522 | ||||||||
\(686\) | 180.234 | − | 495.188i | 0.262731 | − | 0.721848i | ||||
\(687\) | 1056.93 | − | 186.366i | 1.53847 | − | 0.271275i | ||||
\(688\) | 150.328 | + | 126.140i | 0.218500 | + | 0.183343i | ||||
\(689\) | −19.3101 | + | 16.2031i | −0.0280263 | + | 0.0235169i | ||||
\(690\) | −14.9283 | + | 84.6627i | −0.0216353 | + | 0.122700i | ||||
\(691\) | −112.767 | + | 195.319i | −0.163195 | + | 0.282661i | −0.936013 | − | 0.351966i | \(-0.885513\pi\) |
0.772818 | + | 0.634628i | \(0.218846\pi\) | |||||||
\(692\) | 417.239 | − | 240.893i | 0.602947 | − | 0.348111i | ||||
\(693\) | 427.913 | − | 155.748i | 0.617479 | − | 0.224744i | ||||
\(694\) | 20.4251 | + | 56.1174i | 0.0294309 | + | 0.0808608i | ||||
\(695\) | 22.9955 | + | 39.8294i | 0.0330871 | + | 0.0573085i | ||||
\(696\) | −249.404 | − | 143.993i | −0.358339 | − | 0.206887i | ||||
\(697\) | 482.422 | + | 85.0641i | 0.692141 | + | 0.122043i | ||||
\(698\) | 124.588 | + | 148.479i | 0.178493 | + | 0.212720i | ||||
\(699\) | −599.061 | + | 713.933i | −0.857025 | + | 1.02136i | ||||
\(700\) | 51.1636 | + | 290.163i | 0.0730909 | + | 0.414519i | ||||
\(701\) | 597.024 | + | 217.299i | 0.851674 | + | 0.309984i | 0.730723 | − | 0.682674i | \(-0.239183\pi\) |
0.120951 | + | 0.992658i | \(0.461405\pi\) | |||||||
\(702\) | − | 40.1598i | − | 0.0572077i | ||||||
\(703\) | 68.5481 | + | 362.991i | 0.0975080 | + | 0.516345i | ||||
\(704\) | −130.087 | −0.184782 | ||||||||
\(705\) | 27.2828 | − | 74.9588i | 0.0386990 | − | 0.106325i | ||||
\(706\) | −501.234 | + | 88.3811i | −0.709964 | + | 0.125186i | ||||
\(707\) | −612.871 | − | 514.260i | −0.866862 | − | 0.727383i | ||||
\(708\) | −125.798 | + | 105.557i | −0.177681 | + | 0.149092i | ||||
\(709\) | 119.189 | − | 675.954i | 0.168108 | − | 0.953390i | −0.777693 | − | 0.628644i | \(-0.783610\pi\) |
0.945801 | − | 0.324746i | \(-0.105279\pi\) | |||||||
\(710\) | 8.69913 | − | 15.0673i | 0.0122523 | − | 0.0212216i | ||||
\(711\) | −611.196 | + | 352.874i | −0.859629 | + | 0.496307i | ||||
\(712\) | −247.974 | + | 90.2553i | −0.348279 | + | 0.126763i | ||||
\(713\) | 290.549 | + | 798.277i | 0.407502 | + | 1.11960i | ||||
\(714\) | 402.337 | + | 696.868i | 0.563497 | + | 0.976005i | ||||
\(715\) | −9.81308 | − | 5.66558i | −0.0137246 | − | 0.00792389i | ||||
\(716\) | −17.5106 | − | 3.08758i | −0.0244561 | − | 0.00431227i | ||||
\(717\) | 498.057 | + | 593.561i | 0.694640 | + | 0.827840i | ||||
\(718\) | 311.943 | − | 371.760i | 0.434462 | − | 0.517771i | ||||
\(719\) | 146.800 | + | 832.545i | 0.204173 | + | 1.15792i | 0.898736 | + | 0.438490i | \(0.144486\pi\) |
−0.694564 | + | 0.719431i | \(0.744402\pi\) | |||||||
\(720\) | 6.90218 | + | 2.51219i | 0.00958636 | + | 0.00348915i | ||||
\(721\) | − | 632.275i | − | 0.876942i | ||||||
\(722\) | 12.3657 | + | 510.381i | 0.0171271 | + | 0.706899i | ||||
\(723\) | −186.808 | −0.258379 | ||||||||
\(724\) | 92.4704 | − | 254.060i | 0.127722 | − | 0.350912i | ||||
\(725\) | 672.592 | − | 118.596i | 0.927713 | − | 0.163581i | ||||
\(726\) | −575.571 | − | 482.961i | −0.792797 | − | 0.665236i | ||||
\(727\) | 697.047 | − | 584.892i | 0.958799 | − | 0.804528i | −0.0219584 | − | 0.999759i | \(-0.506990\pi\) |
0.980757 | + | 0.195231i | \(0.0625457\pi\) | |||||||
\(728\) | −5.21954 | + | 29.6015i | −0.00716970 | + | 0.0406614i | ||||
\(729\) | 25.0810 | − | 43.4415i | 0.0344046 | − | 0.0595905i | ||||
\(730\) | 35.5422 | − | 20.5203i | 0.0486879 | − | 0.0281100i | ||||
\(731\) | −1194.34 | + | 434.705i | −1.63385 | + | 0.594671i | ||||
\(732\) | 36.1412 | + | 99.2970i | 0.0493732 | + | 0.135652i | ||||
\(733\) | 99.4128 | + | 172.188i | 0.135625 | + | 0.234909i | 0.925836 | − | 0.377926i | \(-0.123363\pi\) |
−0.790211 | + | 0.612834i | \(0.790029\pi\) | |||||||
\(734\) | −220.392 | − | 127.244i | −0.300262 | − | 0.173356i | ||||
\(735\) | 19.6448 | + | 3.46390i | 0.0267276 | + | 0.00471279i | ||||
\(736\) | −153.485 | − | 182.916i | −0.208540 | − | 0.248528i | ||||
\(737\) | 389.116 | − | 463.731i | 0.527973 | − | 0.629214i | ||||
\(738\) | −21.9339 | − | 124.394i | −0.0297208 | − | 0.168555i | ||||
\(739\) | −570.980 | − | 207.820i | −0.772639 | − | 0.281218i | −0.0745393 | − | 0.997218i | \(-0.523749\pi\) |
−0.698100 | + | 0.716000i | \(0.745971\pi\) | |||||||
\(740\) | − | 15.1164i | − | 0.0204276i | ||||||
\(741\) | 123.977 | − | 23.4122i | 0.167311 | − | 0.0315954i | ||||
\(742\) | 117.906 | 0.158903 | ||||||||
\(743\) | −470.492 | + | 1292.66i | −0.633232 | + | 1.73979i | 0.0387762 | + | 0.999248i | \(0.487654\pi\) |
−0.672008 | + | 0.740543i | \(0.734568\pi\) | |||||||
\(744\) | 207.670 | − | 36.6179i | 0.279127 | − | 0.0492176i | ||||
\(745\) | −38.5038 | − | 32.3085i | −0.0516829 | − | 0.0433671i | ||||
\(746\) | 768.383 | − | 644.750i | 1.03000 | − | 0.864275i | ||||
\(747\) | 47.6872 | − | 270.447i | 0.0638382 | − | 0.362045i | ||||
\(748\) | 421.270 | − | 729.660i | 0.563195 | − | 0.975482i | ||||
\(749\) | −38.6253 | + | 22.3003i | −0.0515692 | + | 0.0297735i | ||||
\(750\) | −95.4022 | + | 34.7236i | −0.127203 | + | 0.0462981i | ||||
\(751\) | −198.529 | − | 545.453i | −0.264352 | − | 0.726302i | −0.998862 | − | 0.0477032i | \(-0.984810\pi\) |
0.734509 | − | 0.678599i | \(-0.237412\pi\) | |||||||
\(752\) | 110.781 | + | 191.878i | 0.147315 | + | 0.255157i | ||||
\(753\) | 147.773 | + | 85.3171i | 0.196246 | + | 0.113303i | ||||
\(754\) | 68.6157 | + | 12.0988i | 0.0910022 | + | 0.0160461i | ||||
\(755\) | −72.1457 | − | 85.9799i | −0.0955573 | − | 0.113881i | ||||
\(756\) | −120.744 | + | 143.897i | −0.159714 | + | 0.190340i | ||||
\(757\) | 160.240 | + | 908.768i | 0.211678 | + | 1.20049i | 0.886579 | + | 0.462578i | \(0.153075\pi\) |
−0.674901 | + | 0.737909i | \(0.735813\pi\) | |||||||
\(758\) | −49.0752 | − | 17.8619i | −0.0647430 | − | 0.0235645i | ||||
\(759\) | − | 2542.73i | − | 3.35011i | ||||||
\(760\) | 3.37830 | − | 20.6164i | 0.00444513 | − | 0.0271269i | ||||
\(761\) | −514.855 | −0.676550 | −0.338275 | − | 0.941047i | \(-0.609843\pi\) | ||||
−0.338275 | + | 0.941047i | \(0.609843\pi\) | |||||||
\(762\) | −167.633 | + | 460.569i | −0.219991 | + | 0.604422i | ||||
\(763\) | 84.1994 | − | 14.8466i | 0.110353 | − | 0.0194582i | ||||
\(764\) | 167.975 | + | 140.948i | 0.219863 | + | 0.184487i | ||||
\(765\) | −36.4428 | + | 30.5791i | −0.0476376 | + | 0.0399727i | ||||
\(766\) | −72.2115 | + | 409.532i | −0.0942709 | + | 0.534637i | ||||
\(767\) | 19.8651 | − | 34.4073i | 0.0258997 | − | 0.0448596i | ||||
\(768\) | −51.3316 | + | 29.6363i | −0.0668380 | + | 0.0385889i | ||||
\(769\) | −728.967 | + | 265.322i | −0.947941 | + | 0.345022i | −0.769297 | − | 0.638891i | \(-0.779393\pi\) |
−0.178644 | + | 0.983914i | \(0.557171\pi\) | |||||||
\(770\) | 18.1273 | + | 49.8043i | 0.0235419 | + | 0.0646809i | ||||
\(771\) | −157.862 | − | 273.425i | −0.204750 | − | 0.354637i | ||||
\(772\) | −548.157 | − | 316.479i | −0.710048 | − | 0.409946i | ||||
\(773\) | 1143.59 | + | 201.645i | 1.47941 | + | 0.260860i | 0.854343 | − | 0.519710i | \(-0.173960\pi\) |
0.625069 | + | 0.780570i | \(0.285071\pi\) | |||||||
\(774\) | 210.659 | + | 251.054i | 0.272170 | + | 0.324359i | ||||
\(775\) | −321.454 | + | 383.094i | −0.414779 | + | 0.494314i | ||||
\(776\) | −59.8731 | − | 339.557i | −0.0771561 | − | 0.437574i | ||||
\(777\) | −401.259 | − | 146.046i | −0.516421 | − | 0.187962i | ||||
\(778\) | − | 44.1690i | − | 0.0567725i | ||||||
\(779\) | −336.084 | + | 126.955i | −0.431430 | + | 0.162972i | ||||
\(780\) | −5.16292 | −0.00661913 | ||||||||
\(781\) | −176.002 | + | 483.561i | −0.225355 | + | 0.619157i | ||||
\(782\) | 1523.02 | − | 268.550i | 1.94760 | − | 0.343415i | ||||
\(783\) | 333.550 | + | 279.882i | 0.425990 | + | 0.357448i | ||||
\(784\) | −42.4431 | + | 35.6140i | −0.0541366 | + | 0.0454260i | ||||
\(785\) | 7.84420 | − | 44.4866i | 0.00999261 | − | 0.0566709i | ||||
\(786\) | −433.857 | + | 751.462i | −0.551981 | + | 0.956059i | ||||
\(787\) | 1036.38 | − | 598.354i | 1.31687 | − | 0.760297i | 0.333649 | − | 0.942698i | \(-0.391720\pi\) |
0.983224 | + | 0.182401i | \(0.0583868\pi\) | |||||||
\(788\) | 348.495 | − | 126.842i | 0.442252 | − | 0.160967i | ||||
\(789\) | −98.3745 | − | 270.282i | −0.124683 | − | 0.342562i | ||||
\(790\) | −41.0706 | − | 71.1364i | −0.0519881 | − | 0.0900461i | ||||
\(791\) | 726.457 | + | 419.420i | 0.918404 | + | 0.530241i | ||||
\(792\) | −213.950 | − | 37.7251i | −0.270139 | − | 0.0476327i | ||||
\(793\) | −16.4330 | − | 19.5841i | −0.0207226 | − | 0.0246962i | ||||
\(794\) | 370.971 | − | 442.106i | 0.467218 | − | 0.556808i | ||||
\(795\) | 3.51674 | + | 19.9444i | 0.00442358 | + | 0.0250873i | ||||
\(796\) | −88.7395 | − | 32.2986i | −0.111482 | − | 0.0405761i | ||||
\(797\) | − | 461.365i | − | 0.578877i | −0.957197 | − | 0.289438i | \(-0.906532\pi\) | ||
0.957197 | − | 0.289438i | \(-0.0934685\pi\) | |||||||
\(798\) | −514.614 | − | 288.859i | −0.644880 | − | 0.361979i | ||||
\(799\) | −1435.00 | −1.79599 | ||||||||
\(800\) | 48.0766 | − | 132.089i | 0.0600957 | − | 0.165112i | ||||
\(801\) | −434.010 | + | 76.5277i | −0.541835 | + | 0.0955402i | ||||
\(802\) | −270.867 | − | 227.284i | −0.337739 | − | 0.283396i | ||||
\(803\) | −929.881 | + | 780.263i | −1.15801 | + | 0.971685i | ||||
\(804\) | 47.8964 | − | 271.634i | 0.0595726 | − | 0.337853i | ||||
\(805\) | −48.6425 | + | 84.2513i | −0.0604255 | + | 0.104660i | ||||
\(806\) | −44.1828 | + | 25.5089i | −0.0548173 | + | 0.0316488i | ||||
\(807\) | −1108.04 | + | 403.292i | −1.37303 | + | 0.499743i | ||||
\(808\) | 130.544 | + | 358.667i | 0.161565 | + | 0.443895i | ||||
\(809\) | 105.585 | + | 182.878i | 0.130513 | + | 0.226055i | 0.923874 | − | 0.382696i | \(-0.125004\pi\) |
−0.793362 | + | 0.608751i | \(0.791671\pi\) | |||||||
\(810\) | −48.1831 | − | 27.8185i | −0.0594853 | − | 0.0343438i | ||||
\(811\) | −112.676 | − | 19.8677i | −0.138934 | − | 0.0244978i | 0.103749 | − | 0.994604i | \(-0.466916\pi\) |
−0.242683 | + | 0.970106i | \(0.578027\pi\) | |||||||
\(812\) | −209.481 | − | 249.650i | −0.257982 | − | 0.307451i | ||||
\(813\) | 266.489 | − | 317.590i | 0.327785 | − | 0.390639i | ||||
\(814\) | 77.6389 | + | 440.312i | 0.0953795 | + | 0.540924i | ||||
\(815\) | −66.0518 | − | 24.0409i | −0.0810451 | − | 0.0294980i | ||||
\(816\) | − | 383.893i | − | 0.470458i | ||||||
\(817\) | 590.474 | − | 721.263i | 0.722734 | − | 0.882818i | ||||
\(818\) | −936.260 | −1.14457 | ||||||||
\(819\) | −17.1688 | + | 47.1710i | −0.0209632 | + | 0.0575959i | ||||
\(820\) | 14.4780 | − | 2.55286i | 0.0176561 | − | 0.00311325i | ||||
\(821\) | 579.086 | + | 485.910i | 0.705342 | + | 0.591852i | 0.923288 | − | 0.384109i | \(-0.125491\pi\) |
−0.217946 | + | 0.975961i | \(0.569936\pi\) | |||||||
\(822\) | −527.920 | + | 442.977i | −0.642238 | + | 0.538902i | ||||
\(823\) | 80.5969 | − | 457.088i | 0.0979307 | − | 0.555392i | −0.895879 | − | 0.444298i | \(-0.853453\pi\) |
0.993810 | − | 0.111095i | \(-0.0354357\pi\) | |||||||
\(824\) | −150.823 | + | 261.233i | −0.183037 | + | 0.317030i | ||||
\(825\) | 1296.33 | − | 748.435i | 1.57131 | − | 0.907194i | ||||
\(826\) | −174.627 | + | 63.5591i | −0.211413 | + | 0.0769481i | ||||
\(827\) | −451.994 | − | 1241.84i | −0.546546 | − | 1.50162i | −0.838343 | − | 0.545143i | \(-0.816475\pi\) |
0.291797 | − | 0.956480i | \(-0.405747\pi\) | |||||||
\(828\) | −199.387 | − | 345.348i | −0.240805 | − | 0.417087i | ||||
\(829\) | −882.290 | − | 509.390i | −1.06428 | − | 0.614464i | −0.137669 | − | 0.990478i | \(-0.543961\pi\) |
−0.926614 | + | 0.376015i | \(0.877294\pi\) | |||||||
\(830\) | 31.4770 | + | 5.55025i | 0.0379241 | + | 0.00668705i | ||||
\(831\) | 410.720 | + | 489.477i | 0.494247 | + | 0.589021i | ||||
\(832\) | 9.21766 | − | 10.9852i | 0.0110789 | − | 0.0132033i | ||||
\(833\) | −62.3132 | − | 353.396i | −0.0748058 | − | 0.424245i | ||||
\(834\) | −582.424 | − | 211.985i | −0.698351 | − | 0.254179i | ||||
\(835\) | 81.6322i | 0.0977631i | ||||||||
\(836\) | 7.48388 | + | 617.867i | 0.00895201 | + | 0.739076i | ||||
\(837\) | −318.829 | −0.380918 | ||||||||
\(838\) | −284.399 | + | 781.379i | −0.339378 | + | 0.932434i | ||||
\(839\) | −495.619 | + | 87.3910i | −0.590726 | + | 0.104161i | −0.461017 | − | 0.887391i | \(-0.652515\pi\) |
−0.129709 | + | 0.991552i | \(0.541404\pi\) | |||||||
\(840\) | 18.4993 | + | 15.5228i | 0.0220230 | + | 0.0184795i | ||||
\(841\) | 65.5595 | − | 55.0110i | 0.0779543 | − | 0.0654114i | ||||
\(842\) | 159.846 | − | 906.533i | 0.189841 | − | 1.07664i | ||||
\(843\) | −17.0973 | + | 29.6135i | −0.0202815 | + | 0.0351287i | ||||
\(844\) | −422.967 | + | 244.200i | −0.501145 | + | 0.289336i | ||||
\(845\) | −60.5626 | + | 22.0430i | −0.0716717 | + | 0.0260864i | ||||
\(846\) | 126.553 | + | 347.702i | 0.149590 | + | 0.410996i | ||||
\(847\) | −425.128 | − | 736.344i | −0.501922 | − | 0.869355i | ||||
\(848\) | −48.7146 | − | 28.1254i | −0.0574464 | − | 0.0331667i | ||||
\(849\) | 517.302 | + | 91.2143i | 0.609308 | + | 0.107437i | ||||
\(850\) | 585.202 | + | 697.417i | 0.688473 | + | 0.820491i | ||||
\(851\) | −527.524 | + | 628.678i | −0.619887 | + | 0.738752i | ||||
\(852\) | 40.7152 | + | 230.907i | 0.0477878 | + | 0.271018i | ||||
\(853\) | 805.856 | + | 293.307i | 0.944731 | + | 0.343854i | 0.768032 | − | 0.640411i | \(-0.221236\pi\) |
0.176699 | + | 0.984265i | \(0.443458\pi\) | |||||||
\(854\) | 119.579i | 0.140022i | ||||||||
\(855\) | 11.5349 | − | 32.9275i | 0.0134912 | − | 0.0385117i | ||||
\(856\) | 21.2781 | 0.0248576 | ||||||||
\(857\) | −166.727 | + | 458.079i | −0.194547 | + | 0.534514i | −0.998160 | − | 0.0606385i | \(-0.980686\pi\) |
0.803612 | + | 0.595153i | \(0.202909\pi\) | |||||||
\(858\) | 150.386 | − | 26.5171i | 0.175275 | − | 0.0309057i | ||||
\(859\) | −29.8375 | − | 25.0366i | −0.0347351 | − | 0.0291462i | 0.625255 | − | 0.780421i | \(-0.284995\pi\) |
−0.659990 | + | 0.751274i | \(0.729439\pi\) | |||||||
\(860\) | −29.2199 | + | 24.5184i | −0.0339766 | + | 0.0285097i | ||||
\(861\) | 72.1136 | − | 408.977i | 0.0837557 | − | 0.475002i | ||||
\(862\) | 155.227 | − | 268.861i | 0.180078 | − | 0.311904i | ||||
\(863\) | 107.887 | − | 62.2886i | 0.125014 | − | 0.0721768i | −0.436189 | − | 0.899855i | \(-0.643672\pi\) |
0.561203 | + | 0.827678i | \(0.310339\pi\) | |||||||
\(864\) | 84.2120 | − | 30.6507i | 0.0974676 | − | 0.0354753i | ||||
\(865\) | 32.0291 | + | 87.9991i | 0.0370278 | + | 0.101733i | ||||
\(866\) | 196.822 | + | 340.905i | 0.227277 | + | 0.393655i | ||||
\(867\) | 1226.09 | + | 707.884i | 1.41418 | + | 0.816476i | ||||
\(868\) | 235.006 | + | 41.4380i | 0.270745 | + | 0.0477396i | ||||
\(869\) | 1561.67 | + | 1861.12i | 1.79709 | + | 2.14168i | ||||
\(870\) | 35.9814 | − | 42.8810i | 0.0413580 | − | 0.0492885i | ||||
\(871\) | 11.5878 | + | 65.7178i | 0.0133040 | + | 0.0754510i | ||||
\(872\) | −38.3296 | − | 13.9508i | −0.0439560 | − | 0.0159987i | ||||
\(873\) | − | 575.823i | − | 0.659591i | ||||||
\(874\) | −859.959 | + | 739.524i | −0.983935 | + | 0.846137i | ||||
\(875\) | −114.889 | −0.131302 | ||||||||
\(876\) | −189.167 | + | 519.733i | −0.215944 | + | 0.593302i | ||||
\(877\) | −90.8962 | + | 16.0275i | −0.103644 | + | 0.0182753i | −0.225230 | − | 0.974306i | \(-0.572313\pi\) |
0.121585 | + | 0.992581i | \(0.461202\pi\) | |||||||
\(878\) | −401.107 | − | 336.569i | −0.456842 | − | 0.383336i | ||||
\(879\) | 1187.04 | − | 996.043i | 1.35044 | − | 1.13315i | ||||
\(880\) | 4.39078 | − | 24.9014i | 0.00498952 | − | 0.0282970i | ||||
\(881\) | 749.201 | − | 1297.65i | 0.850398 | − | 1.47293i | −0.0304516 | − | 0.999536i | \(-0.509695\pi\) |
0.880850 | − | 0.473396i | \(-0.156972\pi\) | |||||||
\(882\) | −80.1329 | + | 46.2648i | −0.0908536 | + | 0.0524544i | ||||
\(883\) | 277.285 | − | 100.923i | 0.314026 | − | 0.114296i | −0.180199 | − | 0.983630i | \(-0.557674\pi\) |
0.494225 | + | 0.869334i | \(0.335452\pi\) | |||||||
\(884\) | 31.7659 | + | 87.2762i | 0.0359343 | + | 0.0987287i | ||||
\(885\) | −15.9599 | − | 27.6433i | −0.0180337 | − | 0.0312354i | ||||
\(886\) | −685.720 | − | 395.900i | −0.773950 | − | 0.446840i | ||||
\(887\) | 42.6298 | + | 7.51679i | 0.0480607 | + | 0.00847439i | 0.197627 | − | 0.980277i | \(-0.436677\pi\) |
−0.149566 | + | 0.988752i | \(0.547788\pi\) | |||||||
\(888\) | 130.947 | + | 156.057i | 0.147463 | + | 0.175740i | ||||
\(889\) | −356.518 | + | 424.882i | −0.401033 | + | 0.477933i | ||||
\(890\) | −8.90696 | − | 50.5139i | −0.0100078 | − | 0.0567572i | ||||
\(891\) | 1546.36 | + | 562.828i | 1.73553 | + | 0.631681i | ||||
\(892\) | − | 501.609i | − | 0.562342i | ||||||
\(893\) | 904.980 | − | 537.209i | 1.01342 | − | 0.601578i | ||||
\(894\) | 677.377 | 0.757692 | ||||||||
\(895\) | 1.18206 | − | 3.24768i | 0.00132073 | − | 0.00362869i | ||||
\(896\) | −66.0557 | + | 11.6474i | −0.0737229 | + | 0.0129993i | ||||
\(897\) | 214.721 | + | 180.172i | 0.239377 | + | 0.200861i | ||||
\(898\) | 159.750 | − | 134.046i | 0.177895 | − | 0.149272i | ||||
\(899\) | 96.0524 | − | 544.740i | 0.106844 | − | 0.605940i | ||||
\(900\) | 117.376 | − | 203.301i | 0.130418 | − | 0.225890i | ||||
\(901\) | 315.512 | − | 182.161i | 0.350180 | − | 0.202176i | ||||
\(902\) | −408.605 | + | 148.720i | −0.452998 | + | 0.164878i | ||||
\(903\) | 368.524 | + | 1012.51i | 0.408111 | + | 1.12127i | ||||
\(904\) | −200.097 | − | 346.578i | −0.221346 | − | 0.383383i | ||||
\(905\) | 45.5114 | + | 26.2760i | 0.0502888 | + | 0.0290343i | ||||
\(906\) | 1489.62 | + | 262.660i | 1.64417 | + | 0.289912i | ||||
\(907\) | −480.494 | − | 572.630i | −0.529762 | − | 0.631346i | 0.433098 | − | 0.901347i | \(-0.357420\pi\) |
−0.962860 | + | 0.270001i | \(0.912976\pi\) | |||||||
\(908\) | 1.14645 | − | 1.36628i | 0.00126261 | − | 0.00150472i | ||||
\(909\) | 110.689 | + | 627.747i | 0.121770 | + | 0.690591i | ||||
\(910\) | −5.49018 | − | 1.99826i | −0.00603316 | − | 0.00219589i | ||||
\(911\) | − | 384.631i | − | 0.422207i | −0.977464 | − | 0.211104i | \(-0.932294\pi\) | ||
0.977464 | − | 0.211104i | \(-0.0677058\pi\) | |||||||
\(912\) | 143.715 | + | 242.102i | 0.157582 | + | 0.265463i | ||||
\(913\) | −945.371 | −1.03546 | ||||||||
\(914\) | 217.116 | − | 596.521i | 0.237545 | − | 0.652648i | ||||
\(915\) | −20.2274 | + | 3.56664i | −0.0221065 | + | 0.00389796i | ||||
\(916\) | −443.860 | − | 372.443i | −0.484563 | − | 0.406597i | ||||
\(917\) | −752.204 | + | 631.174i | −0.820288 | + | 0.688304i | ||||
\(918\) | −100.789 | + | 571.606i | −0.109792 | + | 0.622664i | ||||
\(919\) | −438.220 | + | 759.020i | −0.476845 | + | 0.825920i | −0.999648 | − | 0.0265340i | \(-0.991553\pi\) |
0.522803 | + | 0.852453i | \(0.324886\pi\) | |||||||
\(920\) | 40.1946 | − | 23.2064i | 0.0436898 | − | 0.0252243i | ||||
\(921\) | −1400.23 | + | 509.641i | −1.52033 | + | 0.553356i | ||||
\(922\) | −58.8949 | − | 161.812i | −0.0638773 | − | 0.175501i | ||||
\(923\) | −28.3632 | − | 49.1265i | −0.0307294 | − | 0.0532249i | ||||
\(924\) | −618.575 | − | 357.134i | −0.669453 | − | 0.386509i | ||||
\(925\) | −475.783 | − | 83.8934i | −0.514360 | − | 0.0906955i | ||||
\(926\) | 562.838 | + | 670.764i | 0.607817 | + | 0.724368i | ||||
\(927\) | −323.811 | + | 385.903i | −0.349311 | + | 0.416292i | ||||
\(928\) | 26.9985 | + | 153.116i | 0.0290932 | + | 0.164996i | ||||
\(929\) | −851.650 | − | 309.975i | −0.916739 | − | 0.333666i | −0.159798 | − | 0.987150i | \(-0.551084\pi\) |
−0.756940 | + | 0.653484i | \(0.773307\pi\) | |||||||
\(930\) | 40.9884i | 0.0440736i | ||||||||
\(931\) | 171.596 | + | 199.541i | 0.184313 | + | 0.214330i | ||||
\(932\) | 503.152 | 0.539863 | ||||||||
\(933\) | 4.88808 | − | 13.4299i | 0.00523910 | − | 0.0143943i | ||||
\(934\) | −451.211 | + | 79.5607i | −0.483096 | + | 0.0851828i | ||||
\(935\) | 125.453 | + | 105.268i | 0.134175 | + | 0.112586i | ||||
\(936\) | 18.3457 | − | 15.3939i | 0.0196001 | − | 0.0164464i | ||||
\(937\) | −144.397 | + | 818.914i | −0.154105 | + | 0.873974i | 0.805494 | + | 0.592604i | \(0.201900\pi\) |
−0.959599 | + | 0.281370i | \(0.909211\pi\) | |||||||
\(938\) | 156.066 | − | 270.314i | 0.166381 | − | 0.288181i | ||||
\(939\) | 1084.94 | − | 626.390i | 1.15542 | − | 0.667082i | ||||
\(940\) | −40.4686 | + | 14.7294i | −0.0430517 | + | 0.0156696i | ||||
\(941\) | −474.163 | − | 1302.75i | −0.503892 | − | 1.38443i | −0.887445 | − | 0.460913i | \(-0.847522\pi\) |
0.383553 | − | 0.923519i | \(-0.374700\pi\) | |||||||
\(942\) | 304.389 | + | 527.217i | 0.323130 | + | 0.559678i | ||||
\(943\) | −691.215 | − | 399.073i | −0.732996 | − | 0.423196i | ||||
\(944\) | 87.3109 | + | 15.3953i | 0.0924904 | + | 0.0163085i | ||||
\(945\) | −23.4695 | − | 27.9698i | −0.0248354 | − | 0.0295977i | ||||
\(946\) | 725.190 | − | 864.248i | 0.766586 | − | 0.913581i | ||||
\(947\) | 2.34633 | + | 13.3067i | 0.00247764 | + | 0.0140514i | 0.986022 | − | 0.166618i | \(-0.0532847\pi\) |
−0.983544 | + | 0.180669i | \(0.942174\pi\) | |||||||
\(948\) | 1040.23 | + | 378.611i | 1.09728 | + | 0.399379i | ||||
\(949\) | − | 133.811i | − | 0.141003i | ||||||
\(950\) | −630.144 | − | 220.748i | −0.663309 | − | 0.232366i | ||||
\(951\) | 39.5627 | 0.0416011 | ||||||||
\(952\) | 148.582 | − | 408.227i | 0.156074 | − | 0.428810i | ||||
\(953\) | −555.176 | + | 97.8925i | −0.582556 | + | 0.102720i | −0.457157 | − | 0.889386i | \(-0.651132\pi\) |
−0.125399 | + | 0.992106i | \(0.540021\pi\) | |||||||
\(954\) | −71.9630 | − | 60.3841i | −0.0754329 | − | 0.0632957i | ||||
\(955\) | −32.6500 | + | 27.3966i | −0.0341885 | + | 0.0286875i | ||||
\(956\) | 72.6403 | − | 411.964i | 0.0759836 | − | 0.430925i | ||||
\(957\) | −827.830 | + | 1433.84i | −0.865026 | + | 1.49827i | ||||
\(958\) | −89.9352 | + | 51.9241i | −0.0938781 | + | 0.0542006i | ||||
\(959\) | −732.833 | + | 266.729i | −0.764163 | + | 0.278133i | ||||
\(960\) | −3.94043 | − | 10.8262i | −0.00410462 | − | 0.0112773i | ||||
\(961\) | −277.984 | − | 481.483i | −0.289266 | − | 0.501023i | ||||
\(962\) | −42.6834 | − | 24.6433i | −0.0443695 | − | 0.0256167i | ||||
\(963\) | 34.9954 | + | 6.17063i | 0.0363400 | + | 0.00640772i | ||||
\(964\) | 64.8274 | + | 77.2582i | 0.0672483 | + | 0.0801434i | ||||
\(965\) | 79.0824 | − | 94.2468i | 0.0819507 | − | 0.0976651i | ||||
\(966\) | −227.665 | − | 1291.15i | −0.235678 | − | 1.33660i | ||||
\(967\) | 603.875 | + | 219.792i | 0.624482 | + | 0.227293i | 0.634828 | − | 0.772653i | \(-0.281071\pi\) |
−0.0103456 | + | 0.999946i | \(0.503293\pi\) | |||||||
\(968\) | 405.640i | 0.419050i | ||||||||
\(969\) | −1823.36 | + | 22.0853i | −1.88169 | + | 0.0227919i | ||||
\(970\) | 67.0193 | 0.0690921 | ||||||||
\(971\) | 593.190 | − | 1629.78i | 0.610906 | − | 1.67845i | −0.117304 | − | 0.993096i | \(-0.537425\pi\) |
0.728210 | − | 0.685354i | \(-0.240353\pi\) | |||||||
\(972\) | 457.581 | − | 80.6839i | 0.470763 | − | 0.0830081i | ||||
\(973\) | −537.295 | − | 450.844i | −0.552205 | − | 0.463355i | ||||
\(974\) | 20.3032 | − | 17.0364i | 0.0208452 | − | 0.0174912i | ||||
\(975\) | −28.6533 | + | 162.501i | −0.0293880 | + | 0.166667i | ||||
\(976\) | 28.5244 | − | 49.4057i | 0.0292258 | − | 0.0506206i | ||||
\(977\) | −718.452 | + | 414.798i | −0.735365 | + | 0.424563i | −0.820382 | − | 0.571816i | \(-0.806239\pi\) |
0.0850166 | + | 0.996380i | \(0.472906\pi\) | |||||||
\(978\) | 890.154 | − | 323.989i | 0.910178 | − | 0.331278i | ||||
\(979\) | 518.885 | + | 1425.63i | 0.530015 | + | 1.45621i | ||||
\(980\) | −5.38470 | − | 9.32657i | −0.00549459 | − | 0.00951691i | ||||
\(981\) | −58.9938 | − | 34.0601i | −0.0601364 | − | 0.0347198i | ||||
\(982\) | 468.833 | + | 82.6679i | 0.477427 | + | 0.0841832i | ||||
\(983\) | −123.720 | − | 147.444i | −0.125860 | − | 0.149994i | 0.699435 | − | 0.714697i | \(-0.253435\pi\) |
−0.825294 | + | 0.564703i | \(0.808991\pi\) | |||||||
\(984\) | −127.352 | + | 151.772i | −0.129423 | + | 0.154240i | ||||
\(985\) | 12.5175 | + | 70.9905i | 0.0127082 | + | 0.0720716i | ||||
\(986\) | −946.262 | − | 344.411i | −0.959698 | − | 0.349301i | ||||
\(987\) | 1216.53i | 1.23255i | ||||||||
\(988\) | −52.7061 | − | 43.1487i | −0.0533462 | − | 0.0436728i | ||||
\(989\) | 2070.86 | 2.09389 | ||||||||
\(990\) | 14.4428 | − | 39.6812i | 0.0145887 | − | 0.0400820i | ||||
\(991\) | 1012.91 | − | 178.603i | 1.02211 | − | 0.180225i | 0.362618 | − | 0.931938i | \(-0.381883\pi\) |
0.659491 | + | 0.751712i | \(0.270772\pi\) | |||||||
\(992\) | −87.2114 | − | 73.1790i | −0.0879147 | − | 0.0737692i | ||||
\(993\) | −486.301 | + | 408.055i | −0.489729 | + | 0.410931i | ||||
\(994\) | −46.0746 | + | 261.302i | −0.0463527 | + | 0.262879i | ||||
\(995\) | 9.17782 | − | 15.8965i | 0.00922394 | − | 0.0159763i | ||||
\(996\) | −373.038 | + | 215.374i | −0.374537 | + | 0.216239i | ||||
\(997\) | −1235.15 | + | 449.559i | −1.23887 | + | 0.450912i | −0.876627 | − | 0.481171i | \(-0.840211\pi\) |
−0.362244 | + | 0.932083i | \(0.617989\pi\) | |||||||
\(998\) | 148.047 | + | 406.755i | 0.148344 | + | 0.407570i | ||||
\(999\) | −154.005 | − | 266.744i | −0.154159 | − | 0.267011i |
(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 | 38.3.f.a.15.2 | ✓ | 24 | |
3.2 | odd | 2 | 342.3.z.b.91.3 | 24 | |||
4.3 | odd | 2 | 304.3.z.c.129.2 | 24 | |||
19.9 | even | 9 | 722.3.b.f.721.4 | 24 | |||
19.10 | odd | 18 | 722.3.b.f.721.21 | 24 | |||
19.14 | odd | 18 | inner | 38.3.f.a.33.2 | yes | 24 | |
57.14 | even | 18 | 342.3.z.b.109.3 | 24 | |||
76.71 | even | 18 | 304.3.z.c.33.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.3.f.a.15.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
38.3.f.a.33.2 | yes | 24 | 19.14 | odd | 18 | inner | |
304.3.z.c.33.2 | 24 | 76.71 | even | 18 | |||
304.3.z.c.129.2 | 24 | 4.3 | odd | 2 | |||
342.3.z.b.91.3 | 24 | 3.2 | odd | 2 | |||
342.3.z.b.109.3 | 24 | 57.14 | even | 18 | |||
722.3.b.f.721.4 | 24 | 19.9 | even | 9 | |||
722.3.b.f.721.21 | 24 | 19.10 | odd | 18 |