Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(11,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.j (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.8 | ||
Character | \(\chi\) | \(=\) | 75.11 |
Dual form | 75.3.j.a.41.8 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.146095 | − | 0.201083i | −0.0730476 | − | 0.100541i | 0.770930 | − | 0.636920i | \(-0.219792\pi\) |
−0.843977 | + | 0.536379i | \(0.819792\pi\) | |||||||
\(3\) | −2.97010 | − | 0.422474i | −0.990035 | − | 0.140825i | ||||
\(4\) | 1.21698 | − | 3.74547i | 0.304244 | − | 0.936368i | ||||
\(5\) | −3.70242 | + | 3.36037i | −0.740485 | + | 0.672073i | ||||
\(6\) | 0.348966 | + | 0.658958i | 0.0581610 | + | 0.109826i | ||||
\(7\) | −11.1634 | −1.59478 | −0.797388 | − | 0.603467i | \(-0.793786\pi\) | ||||
−0.797388 | + | 0.603467i | \(0.793786\pi\) | |||||||
\(8\) | −1.87649 | + | 0.609710i | −0.234562 | + | 0.0762137i | ||||
\(9\) | 8.64303 | + | 2.50958i | 0.960337 | + | 0.278843i | ||||
\(10\) | 1.21662 | + | 0.253561i | 0.121662 | + | 0.0253561i | ||||
\(11\) | −9.01376 | − | 12.4064i | −0.819433 | − | 1.12785i | −0.989799 | − | 0.142471i | \(-0.954495\pi\) |
0.170366 | − | 0.985381i | \(-0.445505\pi\) | |||||||
\(12\) | −5.19691 | + | 10.6103i | −0.433076 | + | 0.884191i | ||||
\(13\) | −2.81877 | − | 2.04796i | −0.216828 | − | 0.157535i | 0.474069 | − | 0.880487i | \(-0.342785\pi\) |
−0.690898 | + | 0.722952i | \(0.742785\pi\) | |||||||
\(14\) | 1.63092 | + | 2.24477i | 0.116495 | + | 0.160341i | ||||
\(15\) | 12.4163 | − | 8.41646i | 0.827750 | − | 0.561097i | ||||
\(16\) | −12.3476 | − | 8.97106i | −0.771725 | − | 0.560691i | ||||
\(17\) | 19.9100 | − | 6.46915i | 1.17118 | − | 0.380538i | 0.342094 | − | 0.939666i | \(-0.388864\pi\) |
0.829082 | + | 0.559128i | \(0.188864\pi\) | |||||||
\(18\) | −0.758072 | − | 2.10460i | −0.0421151 | − | 0.116922i | ||||
\(19\) | 6.71475 | + | 20.6659i | 0.353408 | + | 1.08768i | 0.956927 | + | 0.290329i | \(0.0937648\pi\) |
−0.603519 | + | 0.797349i | \(0.706235\pi\) | |||||||
\(20\) | 8.08039 | + | 17.9568i | 0.404019 | + | 0.897841i | ||||
\(21\) | 33.1565 | + | 4.71626i | 1.57888 | + | 0.224584i | ||||
\(22\) | −1.17784 | + | 3.62502i | −0.0535383 | + | 0.164774i | ||||
\(23\) | 1.07612 | + | 1.48115i | 0.0467878 | + | 0.0643979i | 0.831770 | − | 0.555121i | \(-0.187328\pi\) |
−0.784982 | + | 0.619519i | \(0.787328\pi\) | |||||||
\(24\) | 5.83097 | − | 1.01813i | 0.242957 | − | 0.0424221i | ||||
\(25\) | 2.41589 | − | 24.8830i | 0.0966355 | − | 0.995320i | ||||
\(26\) | 0.866003i | 0.0333078i | ||||||||
\(27\) | −24.6105 | − | 11.1052i | −0.911499 | − | 0.411303i | ||||
\(28\) | −13.5856 | + | 41.8123i | −0.485202 | + | 1.49330i | ||||
\(29\) | 0.892770 | + | 0.290079i | 0.0307852 | + | 0.0100027i | 0.324369 | − | 0.945931i | \(-0.394848\pi\) |
−0.293584 | + | 0.955933i | \(0.594848\pi\) | |||||||
\(30\) | −3.50636 | − | 1.26709i | −0.116879 | − | 0.0422364i | ||||
\(31\) | −10.8994 | − | 33.5448i | −0.351592 | − | 1.08209i | −0.957959 | − | 0.286904i | \(-0.907374\pi\) |
0.606367 | − | 0.795185i | \(-0.292626\pi\) | |||||||
\(32\) | 11.6858i | 0.365180i | ||||||||
\(33\) | 21.5304 | + | 40.6563i | 0.652437 | + | 1.23201i | ||||
\(34\) | −4.20959 | − | 3.05844i | −0.123811 | − | 0.0899543i | ||||
\(35\) | 41.3318 | − | 37.5132i | 1.18091 | − | 1.07181i | ||||
\(36\) | 19.9179 | − | 29.3181i | 0.553276 | − | 0.814392i | ||||
\(37\) | −28.6827 | − | 20.8392i | −0.775208 | − | 0.563221i | 0.128329 | − | 0.991732i | \(-0.459039\pi\) |
−0.903537 | + | 0.428510i | \(0.859039\pi\) | |||||||
\(38\) | 3.17456 | − | 4.36941i | 0.0835411 | − | 0.114984i | ||||
\(39\) | 7.50683 | + | 7.27350i | 0.192483 | + | 0.186500i | ||||
\(40\) | 4.89873 | − | 8.56311i | 0.122468 | − | 0.214078i | ||||
\(41\) | −21.7900 | + | 29.9914i | −0.531464 | + | 0.731497i | −0.987353 | − | 0.158539i | \(-0.949321\pi\) |
0.455889 | + | 0.890037i | \(0.349321\pi\) | |||||||
\(42\) | −3.89566 | − | 7.35624i | −0.0927537 | − | 0.175148i | ||||
\(43\) | 0.351471 | 0.00817375 | 0.00408688 | − | 0.999992i | \(-0.498699\pi\) | ||||
0.00408688 | + | 0.999992i | \(0.498699\pi\) | |||||||
\(44\) | −57.4373 | + | 18.6625i | −1.30539 | + | 0.424148i | ||||
\(45\) | −40.4333 | + | 19.7522i | −0.898517 | + | 0.438938i | ||||
\(46\) | 0.140618 | − | 0.432779i | 0.00305692 | − | 0.00940823i | ||||
\(47\) | −26.1739 | − | 8.50441i | −0.556891 | − | 0.180945i | 0.0170306 | − | 0.999855i | \(-0.494579\pi\) |
−0.573922 | + | 0.818910i | \(0.694579\pi\) | |||||||
\(48\) | 32.8836 | + | 31.8615i | 0.685076 | + | 0.663782i | ||||
\(49\) | 75.6222 | 1.54331 | ||||||||
\(50\) | −5.35649 | + | 3.14949i | −0.107130 | + | 0.0629899i | ||||
\(51\) | −61.8678 | + | 10.8026i | −1.21309 | + | 0.211815i | ||||
\(52\) | −11.1009 | + | 8.06530i | −0.213480 | + | 0.155102i | ||||
\(53\) | −45.7550 | − | 14.8667i | −0.863302 | − | 0.280504i | −0.156295 | − | 0.987710i | \(-0.549955\pi\) |
−0.707007 | + | 0.707207i | \(0.749955\pi\) | |||||||
\(54\) | 1.36241 | + | 6.57116i | 0.0252298 | + | 0.121688i | ||||
\(55\) | 75.0627 | + | 15.6441i | 1.36478 | + | 0.284439i | ||||
\(56\) | 20.9481 | − | 6.80645i | 0.374073 | − | 0.121544i | ||||
\(57\) | −11.2127 | − | 64.2166i | −0.196714 | − | 1.12661i | ||||
\(58\) | −0.0720996 | − | 0.221900i | −0.00124310 | − | 0.00382586i | ||||
\(59\) | 6.66036 | − | 9.16720i | 0.112887 | − | 0.155376i | −0.748835 | − | 0.662757i | \(-0.769386\pi\) |
0.861722 | + | 0.507381i | \(0.169386\pi\) | |||||||
\(60\) | −16.4133 | − | 56.7473i | −0.273555 | − | 0.945789i | ||||
\(61\) | −31.8388 | + | 23.1322i | −0.521948 | + | 0.379217i | −0.817337 | − | 0.576160i | \(-0.804551\pi\) |
0.295389 | + | 0.955377i | \(0.404551\pi\) | |||||||
\(62\) | −5.15293 | + | 7.09240i | −0.0831118 | + | 0.114394i | ||||
\(63\) | −96.4859 | − | 28.0156i | −1.53152 | − | 0.444691i | ||||
\(64\) | −47.0406 | + | 34.1770i | −0.735010 | + | 0.534016i | ||||
\(65\) | 17.3182 | − | 1.88969i | 0.266433 | − | 0.0290722i | ||||
\(66\) | 5.02979 | − | 10.2691i | 0.0762090 | − | 0.155592i | ||||
\(67\) | 12.3027 | + | 37.8637i | 0.183622 | + | 0.565130i | 0.999922 | − | 0.0124984i | \(-0.00397846\pi\) |
−0.816300 | + | 0.577628i | \(0.803978\pi\) | |||||||
\(68\) | − | 82.4451i | − | 1.21243i | ||||||
\(69\) | −2.57044 | − | 4.85381i | −0.0372528 | − | 0.0703451i | ||||
\(70\) | −13.5816 | − | 2.83061i | −0.194023 | − | 0.0404372i | ||||
\(71\) | −59.9097 | − | 19.4658i | −0.843798 | − | 0.274167i | −0.144952 | − | 0.989439i | \(-0.546303\pi\) |
−0.698846 | + | 0.715272i | \(0.746303\pi\) | |||||||
\(72\) | −17.7487 | + | 0.560524i | −0.246510 | + | 0.00778505i | ||||
\(73\) | 43.3505 | − | 31.4960i | 0.593842 | − | 0.431451i | −0.249846 | − | 0.968286i | \(-0.580380\pi\) |
0.843688 | + | 0.536834i | \(0.180380\pi\) | |||||||
\(74\) | 8.81210i | 0.119082i | ||||||||
\(75\) | −17.6879 | + | 72.8844i | −0.235838 | + | 0.971792i | ||||
\(76\) | 85.5752 | 1.12599 | ||||||||
\(77\) | 100.624 | + | 138.498i | 1.30681 | + | 1.79867i | ||||
\(78\) | 0.365864 | − | 2.57212i | 0.00469056 | − | 0.0329759i | ||||
\(79\) | 15.3080 | − | 47.1131i | 0.193772 | − | 0.596368i | −0.806217 | − | 0.591620i | \(-0.798489\pi\) |
0.999989 | − | 0.00474795i | \(-0.00151133\pi\) | |||||||
\(80\) | 75.8621 | − | 8.27780i | 0.948276 | − | 0.103472i | ||||
\(81\) | 68.4040 | + | 43.3808i | 0.844494 | + | 0.535566i | ||||
\(82\) | 9.21417 | 0.112368 | ||||||||
\(83\) | 35.1756 | − | 11.4292i | 0.423802 | − | 0.137702i | −0.0893480 | − | 0.996000i | \(-0.528478\pi\) |
0.513150 | + | 0.858299i | \(0.328478\pi\) | |||||||
\(84\) | 58.0154 | − | 118.447i | 0.690659 | − | 1.41009i | ||||
\(85\) | −51.9765 | + | 90.8563i | −0.611488 | + | 1.06890i | ||||
\(86\) | −0.0513483 | − | 0.0706749i | −0.000597073 | − | 0.000821801i | ||||
\(87\) | −2.52907 | − | 1.23874i | −0.0290698 | − | 0.0142383i | ||||
\(88\) | 24.4785 | + | 17.7847i | 0.278165 | + | 0.202099i | ||||
\(89\) | 98.1080 | + | 135.034i | 1.10234 | + | 1.51724i | 0.832249 | + | 0.554402i | \(0.187053\pi\) |
0.270088 | + | 0.962836i | \(0.412947\pi\) | |||||||
\(90\) | 9.87894 | + | 5.24474i | 0.109766 | + | 0.0582749i | ||||
\(91\) | 31.4671 | + | 22.8622i | 0.345793 | + | 0.251233i | ||||
\(92\) | 6.85723 | − | 2.22805i | 0.0745351 | − | 0.0242179i | ||||
\(93\) | 18.2004 | + | 104.236i | 0.195703 | + | 1.12082i | ||||
\(94\) | 2.11379 | + | 6.50557i | 0.0224871 | + | 0.0692082i | ||||
\(95\) | −94.3058 | − | 53.9498i | −0.992692 | − | 0.567893i | ||||
\(96\) | 4.93693 | − | 34.7079i | 0.0514264 | − | 0.361541i | ||||
\(97\) | 28.3759 | − | 87.3321i | 0.292535 | − | 0.900331i | −0.691503 | − | 0.722374i | \(-0.743051\pi\) |
0.984038 | − | 0.177957i | \(-0.0569489\pi\) | |||||||
\(98\) | −11.0480 | − | 15.2063i | −0.112735 | − | 0.155167i | ||||
\(99\) | −46.7714 | − | 129.849i | −0.472438 | − | 1.31161i | ||||
\(100\) | −90.2585 | − | 39.3307i | −0.902585 | − | 0.393307i | ||||
\(101\) | − | 84.8899i | − | 0.840494i | −0.907410 | − | 0.420247i | \(-0.861943\pi\) | ||
0.907410 | − | 0.420247i | \(-0.138057\pi\) | |||||||
\(102\) | 11.2108 | + | 10.8623i | 0.109910 | + | 0.106494i | ||||
\(103\) | 16.4641 | − | 50.6714i | 0.159846 | − | 0.491956i | −0.838774 | − | 0.544480i | \(-0.816727\pi\) |
0.998620 | + | 0.0525248i | \(0.0167269\pi\) | |||||||
\(104\) | 6.53806 | + | 2.12434i | 0.0628660 | + | 0.0204264i | ||||
\(105\) | −138.608 | + | 93.9565i | −1.32008 | + | 0.894824i | ||||
\(106\) | 3.69515 | + | 11.3725i | 0.0348599 | + | 0.107288i | ||||
\(107\) | − | 76.9750i | − | 0.719393i | −0.933069 | − | 0.359696i | \(-0.882880\pi\) | ||
0.933069 | − | 0.359696i | \(-0.117120\pi\) | |||||||
\(108\) | −71.5445 | + | 78.6630i | −0.662449 | + | 0.728362i | ||||
\(109\) | −52.5097 | − | 38.1505i | −0.481740 | − | 0.350005i | 0.320259 | − | 0.947330i | \(-0.396230\pi\) |
−0.801999 | + | 0.597325i | \(0.796230\pi\) | |||||||
\(110\) | −7.82054 | − | 17.3794i | −0.0710958 | − | 0.157994i | ||||
\(111\) | 76.3865 | + | 74.0123i | 0.688167 | + | 0.666777i | ||||
\(112\) | 137.842 | + | 100.148i | 1.23073 | + | 0.894177i | ||||
\(113\) | 67.3204 | − | 92.6585i | 0.595756 | − | 0.819987i | −0.399556 | − | 0.916709i | \(-0.630836\pi\) |
0.995311 | + | 0.0967217i | \(0.0308357\pi\) | |||||||
\(114\) | −11.2747 | + | 11.6364i | −0.0989012 | + | 0.102074i | ||||
\(115\) | −8.96147 | − | 1.86770i | −0.0779258 | − | 0.0162408i | ||||
\(116\) | 2.17296 | − | 2.99083i | 0.0187324 | − | 0.0257830i | ||||
\(117\) | −19.2232 | − | 24.7745i | −0.164301 | − | 0.211748i | ||||
\(118\) | −2.81641 | −0.0238679 | ||||||||
\(119\) | −222.264 | + | 72.2179i | −1.86776 | + | 0.606873i | ||||
\(120\) | −18.1674 | + | 23.3637i | −0.151395 | + | 0.194698i | ||||
\(121\) | −35.2792 | + | 108.578i | −0.291564 | + | 0.897341i | ||||
\(122\) | 9.30300 | + | 3.02273i | 0.0762541 | + | 0.0247765i | ||||
\(123\) | 77.3892 | − | 79.8718i | 0.629180 | − | 0.649364i | ||||
\(124\) | −138.905 | −1.12020 | ||||||||
\(125\) | 74.6713 | + | 100.246i | 0.597371 | + | 0.801965i | ||||
\(126\) | 8.46268 | + | 23.4946i | 0.0671641 | + | 0.186465i | ||||
\(127\) | 83.0386 | − | 60.3310i | 0.653847 | − | 0.475048i | −0.210733 | − | 0.977544i | \(-0.567585\pi\) |
0.864579 | + | 0.502496i | \(0.167585\pi\) | |||||||
\(128\) | 58.2001 | + | 18.9104i | 0.454688 | + | 0.147737i | ||||
\(129\) | −1.04391 | − | 0.148488i | −0.00809230 | − | 0.00115107i | ||||
\(130\) | −2.91009 | − | 3.20631i | −0.0223853 | − | 0.0246639i | ||||
\(131\) | −187.251 | + | 60.8414i | −1.42939 | + | 0.464438i | −0.918574 | − | 0.395250i | \(-0.870658\pi\) |
−0.510820 | + | 0.859688i | \(0.670658\pi\) | |||||||
\(132\) | 178.479 | − | 31.1638i | 1.35211 | − | 0.236089i | ||||
\(133\) | −74.9597 | − | 230.702i | −0.563607 | − | 1.73460i | ||||
\(134\) | 5.81638 | − | 8.00556i | 0.0434058 | − | 0.0597430i | ||||
\(135\) | 128.436 | − | 41.5841i | 0.951377 | − | 0.308030i | ||||
\(136\) | −33.4166 | + | 24.2786i | −0.245711 | + | 0.178519i | ||||
\(137\) | −119.320 | + | 164.231i | −0.870952 | + | 1.19876i | 0.107893 | + | 0.994162i | \(0.465590\pi\) |
−0.978846 | + | 0.204601i | \(0.934410\pi\) | |||||||
\(138\) | −0.600489 | + | 1.22599i | −0.00435137 | + | 0.00888399i | ||||
\(139\) | −34.9778 | + | 25.4129i | −0.251639 | + | 0.182826i | −0.706453 | − | 0.707760i | \(-0.749706\pi\) |
0.454814 | + | 0.890586i | \(0.349706\pi\) | |||||||
\(140\) | −90.2048 | − | 200.460i | −0.644320 | − | 1.43185i | ||||
\(141\) | 74.1463 | + | 36.3168i | 0.525860 | + | 0.257566i | ||||
\(142\) | 4.83827 | + | 14.8907i | 0.0340724 | + | 0.104864i | ||||
\(143\) | 53.4305i | 0.373640i | ||||||||
\(144\) | −84.2071 | − | 108.524i | −0.584772 | − | 0.753642i | ||||
\(145\) | −4.28018 | + | 1.92604i | −0.0295185 | + | 0.0132830i | ||||
\(146\) | −12.6666 | − | 4.11563i | −0.0867575 | − | 0.0281892i | ||||
\(147\) | −224.606 | − | 31.9484i | −1.52793 | − | 0.217336i | ||||
\(148\) | −112.959 | + | 82.0694i | −0.763235 | + | 0.554523i | ||||
\(149\) | − | 120.868i | − | 0.811197i | −0.914051 | − | 0.405599i | \(-0.867063\pi\) | ||
0.914051 | − | 0.405599i | \(-0.132937\pi\) | |||||||
\(150\) | 17.2399 | − | 7.09134i | 0.114933 | − | 0.0472756i | ||||
\(151\) | −23.1445 | −0.153275 | −0.0766375 | − | 0.997059i | \(-0.524418\pi\) | ||||
−0.0766375 | + | 0.997059i | \(0.524418\pi\) | |||||||
\(152\) | −25.2004 | − | 34.6853i | −0.165792 | − | 0.228193i | ||||
\(153\) | 188.317 | − | 5.94727i | 1.23083 | − | 0.0388711i | ||||
\(154\) | 13.1488 | − | 40.4677i | 0.0853815 | − | 0.262777i | ||||
\(155\) | 153.077 | + | 87.5711i | 0.987592 | + | 0.564975i | ||||
\(156\) | 36.3783 | − | 19.2649i | 0.233194 | − | 0.123493i | ||||
\(157\) | −103.680 | −0.660379 | −0.330190 | − | 0.943915i | \(-0.607113\pi\) | ||||
−0.330190 | + | 0.943915i | \(0.607113\pi\) | |||||||
\(158\) | −11.7100 | + | 3.80482i | −0.0741142 | + | 0.0240812i | ||||
\(159\) | 129.616 | + | 63.4859i | 0.815197 | + | 0.399282i | ||||
\(160\) | −39.2684 | − | 43.2657i | −0.245428 | − | 0.270410i | ||||
\(161\) | −12.0132 | − | 16.5347i | −0.0746161 | − | 0.102700i | ||||
\(162\) | −1.27036 | − | 20.0926i | −0.00784173 | − | 0.124028i | ||||
\(163\) | 96.5088 | + | 70.1177i | 0.592079 | + | 0.430170i | 0.843058 | − | 0.537822i | \(-0.180753\pi\) |
−0.250980 | + | 0.967992i | \(0.580753\pi\) | |||||||
\(164\) | 85.8139 | + | 118.113i | 0.523256 | + | 0.720200i | ||||
\(165\) | −216.335 | − | 78.1767i | −1.31112 | − | 0.473798i | ||||
\(166\) | −7.43721 | − | 5.40345i | −0.0448025 | − | 0.0325509i | ||||
\(167\) | 261.133 | − | 84.8473i | 1.56367 | − | 0.508068i | 0.605886 | − | 0.795551i | \(-0.292819\pi\) |
0.957786 | + | 0.287484i | \(0.0928187\pi\) | |||||||
\(168\) | −65.0936 | + | 11.3658i | −0.387462 | + | 0.0676538i | ||||
\(169\) | −48.4725 | − | 149.183i | −0.286820 | − | 0.882740i | ||||
\(170\) | 25.8632 | − | 2.82210i | 0.152136 | − | 0.0166006i | ||||
\(171\) | 6.17307 | + | 195.467i | 0.0360998 | + | 1.14308i | ||||
\(172\) | 0.427733 | − | 1.31643i | 0.00248682 | − | 0.00765364i | ||||
\(173\) | −94.5358 | − | 130.117i | −0.546450 | − | 0.752123i | 0.443076 | − | 0.896484i | \(-0.353887\pi\) |
−0.989525 | + | 0.144361i | \(0.953887\pi\) | |||||||
\(174\) | 0.120396 | + | 0.689526i | 0.000691934 | + | 0.00396279i | ||||
\(175\) | −26.9696 | + | 277.780i | −0.154112 | + | 1.58731i | ||||
\(176\) | 234.052i | 1.32984i | ||||||||
\(177\) | −23.6549 | + | 24.4137i | −0.133643 | + | 0.137931i | ||||
\(178\) | 12.8199 | − | 39.4557i | 0.0720221 | − | 0.221661i | ||||
\(179\) | −109.860 | − | 35.6956i | −0.613742 | − | 0.199417i | −0.0143820 | − | 0.999897i | \(-0.504578\pi\) |
−0.599360 | + | 0.800480i | \(0.704578\pi\) | |||||||
\(180\) | 24.7749 | + | 175.480i | 0.137638 | + | 0.974887i | ||||
\(181\) | 32.9018 | + | 101.261i | 0.181778 | + | 0.559455i | 0.999878 | − | 0.0156211i | \(-0.00497255\pi\) |
−0.818100 | + | 0.575076i | \(0.804973\pi\) | |||||||
\(182\) | − | 9.66756i | − | 0.0531185i | ||||||
\(183\) | 104.337 | − | 55.2541i | 0.570149 | − | 0.301935i | ||||
\(184\) | −2.92241 | − | 2.12325i | −0.0158826 | − | 0.0115394i | ||||
\(185\) | 176.223 | − | 19.2288i | 0.952556 | − | 0.103939i | ||||
\(186\) | 18.3011 | − | 18.8882i | 0.0983930 | − | 0.101549i | ||||
\(187\) | −259.722 | − | 188.699i | −1.38889 | − | 1.00909i | ||||
\(188\) | −63.7061 | + | 87.6839i | −0.338862 | + | 0.466404i | ||||
\(189\) | 274.737 | + | 123.972i | 1.45364 | + | 0.655936i | ||||
\(190\) | 2.92924 | + | 26.8451i | 0.0154170 | + | 0.141290i | ||||
\(191\) | 146.771 | − | 202.013i | 0.768434 | − | 1.05766i | −0.228031 | − | 0.973654i | \(-0.573229\pi\) |
0.996465 | − | 0.0840054i | \(-0.0267713\pi\) | |||||||
\(192\) | 154.154 | − | 81.6358i | 0.802887 | − | 0.425187i | ||||
\(193\) | 92.3075 | 0.478277 | 0.239139 | − | 0.970985i | \(-0.423135\pi\) | ||||
0.239139 | + | 0.970985i | \(0.423135\pi\) | |||||||
\(194\) | −21.7066 | + | 7.05290i | −0.111890 | + | 0.0363551i | ||||
\(195\) | −52.2351 | − | 1.70388i | −0.267872 | − | 0.00873786i | ||||
\(196\) | 92.0305 | − | 283.241i | 0.469543 | − | 1.44511i | ||||
\(197\) | 37.3697 | + | 12.1421i | 0.189694 | + | 0.0616352i | 0.402323 | − | 0.915498i | \(-0.368203\pi\) |
−0.212630 | + | 0.977133i | \(0.568203\pi\) | |||||||
\(198\) | −19.2774 | + | 28.3753i | −0.0973607 | + | 0.143310i | ||||
\(199\) | 203.017 | 1.02019 | 0.510094 | − | 0.860119i | \(-0.329611\pi\) | ||||
0.510094 | + | 0.860119i | \(0.329611\pi\) | |||||||
\(200\) | 10.6380 | + | 48.1658i | 0.0531900 | + | 0.240829i | ||||
\(201\) | −20.5437 | − | 117.657i | −0.102208 | − | 0.585356i | ||||
\(202\) | −17.0699 | + | 12.4020i | −0.0845045 | + | 0.0613961i | ||||
\(203\) | −9.96638 | − | 3.23827i | −0.0490954 | − | 0.0159521i | ||||
\(204\) | −34.8309 | + | 244.870i | −0.170740 | + | 1.20035i | ||||
\(205\) | −20.1061 | − | 184.263i | −0.0980787 | − | 0.898845i | ||||
\(206\) | −12.5945 | + | 4.09220i | −0.0611383 | + | 0.0198650i | ||||
\(207\) | 5.58387 | + | 15.5023i | 0.0269752 | + | 0.0748902i | ||||
\(208\) | 16.4327 | + | 50.5747i | 0.0790034 | + | 0.243148i | ||||
\(209\) | 195.864 | − | 269.583i | 0.937146 | − | 1.28987i | ||||
\(210\) | 39.1430 | + | 14.1451i | 0.186395 | + | 0.0673575i | ||||
\(211\) | 13.7196 | − | 9.96790i | 0.0650220 | − | 0.0472412i | −0.554799 | − | 0.831984i | \(-0.687205\pi\) |
0.619821 | + | 0.784743i | \(0.287205\pi\) | |||||||
\(212\) | −111.366 | + | 153.282i | −0.525309 | + | 0.723026i | ||||
\(213\) | 169.714 | + | 83.1258i | 0.796780 | + | 0.390262i | ||||
\(214\) | −15.4784 | + | 11.2457i | −0.0723288 | + | 0.0525499i | ||||
\(215\) | −1.30130 | + | 1.18107i | −0.00605254 | + | 0.00549336i | ||||
\(216\) | 52.9523 | + | 5.83355i | 0.245150 | + | 0.0270072i | ||||
\(217\) | 121.674 | + | 374.475i | 0.560711 | + | 1.72569i | ||||
\(218\) | 16.1324i | 0.0740018i | ||||||||
\(219\) | −142.062 | + | 75.2318i | −0.648683 | + | 0.343524i | ||||
\(220\) | 149.944 | − | 262.107i | 0.681565 | − | 1.19139i | ||||
\(221\) | −69.3702 | − | 22.5397i | −0.313892 | − | 0.101990i | ||||
\(222\) | 3.72288 | − | 26.1729i | 0.0167698 | − | 0.117896i | ||||
\(223\) | −274.804 | + | 199.657i | −1.23230 | + | 0.895321i | −0.997061 | − | 0.0766160i | \(-0.975588\pi\) |
−0.235242 | + | 0.971937i | \(0.575588\pi\) | |||||||
\(224\) | − | 130.453i | − | 0.582381i | ||||||
\(225\) | 83.3265 | − | 209.002i | 0.370340 | − | 0.928896i | ||||
\(226\) | −28.4672 | −0.125961 | ||||||||
\(227\) | 45.4592 | + | 62.5693i | 0.200261 | + | 0.275636i | 0.897322 | − | 0.441376i | \(-0.145509\pi\) |
−0.697061 | + | 0.717012i | \(0.745509\pi\) | |||||||
\(228\) | −254.167 | − | 36.1533i | −1.11477 | − | 0.158567i | ||||
\(229\) | −77.3633 | + | 238.100i | −0.337831 | + | 1.03974i | 0.627479 | + | 0.778633i | \(0.284087\pi\) |
−0.965311 | + | 0.261104i | \(0.915913\pi\) | |||||||
\(230\) | 0.933666 | + | 2.07486i | 0.00405942 | + | 0.00902113i | ||||
\(231\) | −240.353 | − | 453.864i | −1.04049 | − | 1.96478i | ||||
\(232\) | −1.85214 | −0.00798336 | ||||||||
\(233\) | −204.093 | + | 66.3140i | −0.875938 | + | 0.284609i | −0.712269 | − | 0.701906i | \(-0.752333\pi\) |
−0.163668 | + | 0.986515i | \(0.552333\pi\) | |||||||
\(234\) | −2.17331 | + | 7.48489i | −0.00928763 | + | 0.0319867i | ||||
\(235\) | 125.485 | − | 56.4669i | 0.533978 | − | 0.240285i | ||||
\(236\) | −26.2300 | − | 36.1025i | −0.111144 | − | 0.152977i | ||||
\(237\) | −65.3703 | + | 133.463i | −0.275824 | + | 0.563137i | ||||
\(238\) | 46.9934 | + | 34.1427i | 0.197451 | + | 0.143457i | ||||
\(239\) | 111.594 | + | 153.596i | 0.466919 | + | 0.642659i | 0.975926 | − | 0.218104i | \(-0.0699870\pi\) |
−0.509006 | + | 0.860763i | \(0.669987\pi\) | |||||||
\(240\) | −228.815 | − | 7.46385i | −0.953398 | − | 0.0310994i | ||||
\(241\) | −220.380 | − | 160.115i | −0.914438 | − | 0.664378i | 0.0276955 | − | 0.999616i | \(-0.491183\pi\) |
−0.942133 | + | 0.335238i | \(0.891183\pi\) | |||||||
\(242\) | 26.9874 | − | 8.76872i | 0.111518 | − | 0.0362344i | ||||
\(243\) | −184.840 | − | 157.744i | −0.760657 | − | 0.649154i | ||||
\(244\) | 47.8941 | + | 147.403i | 0.196287 | + | 0.604110i | ||||
\(245\) | −279.985 | + | 254.118i | −1.14280 | + | 1.03722i | ||||
\(246\) | −27.3670 | − | 3.89275i | −0.111248 | − | 0.0158242i | ||||
\(247\) | 23.3955 | − | 72.0039i | 0.0947185 | − | 0.291514i | ||||
\(248\) | 40.9051 | + | 56.3011i | 0.164940 | + | 0.227020i | ||||
\(249\) | −109.304 | + | 19.0853i | −0.438971 | + | 0.0766476i | ||||
\(250\) | 9.24856 | − | 29.6605i | 0.0369942 | − | 0.118642i | ||||
\(251\) | − | 79.8846i | − | 0.318265i | −0.987257 | − | 0.159133i | \(-0.949130\pi\) | ||
0.987257 | − | 0.159133i | \(-0.0508697\pi\) | |||||||
\(252\) | −222.353 | + | 327.291i | −0.882352 | + | 1.29877i | ||||
\(253\) | 8.67585 | − | 26.7015i | 0.0342919 | − | 0.105540i | ||||
\(254\) | −24.2631 | − | 7.88355i | −0.0955239 | − | 0.0310376i | ||||
\(255\) | 192.760 | − | 247.894i | 0.755922 | − | 0.972133i | ||||
\(256\) | 67.1714 | + | 206.732i | 0.262388 | + | 0.807549i | ||||
\(257\) | − | 248.577i | − | 0.967227i | −0.875282 | − | 0.483614i | \(-0.839324\pi\) | ||
0.875282 | − | 0.483614i | \(-0.160676\pi\) | |||||||
\(258\) | 0.122651 | + | 0.231605i | 0.000475393 | + | 0.000897694i | ||||
\(259\) | 320.197 | + | 232.637i | 1.23628 | + | 0.898212i | ||||
\(260\) | 13.9980 | − | 67.1644i | 0.0538385 | − | 0.258325i | ||||
\(261\) | 6.98826 | + | 4.74764i | 0.0267750 | + | 0.0181902i | ||||
\(262\) | 39.5906 | + | 28.7642i | 0.151109 | + | 0.109787i | ||||
\(263\) | −85.3573 | + | 117.484i | −0.324552 | + | 0.446708i | −0.939850 | − | 0.341587i | \(-0.889036\pi\) |
0.615298 | + | 0.788295i | \(0.289036\pi\) | |||||||
\(264\) | −65.1902 | − | 63.1639i | −0.246933 | − | 0.239257i | ||||
\(265\) | 219.362 | − | 98.7107i | 0.827781 | − | 0.372493i | ||||
\(266\) | −35.4390 | + | 48.7776i | −0.133229 | + | 0.183374i | ||||
\(267\) | −234.343 | − | 442.513i | −0.877688 | − | 1.65735i | ||||
\(268\) | 156.789 | 0.585035 | ||||||||
\(269\) | −111.258 | + | 36.1500i | −0.413599 | + | 0.134387i | −0.508423 | − | 0.861107i | \(-0.669771\pi\) |
0.0948235 | + | 0.995494i | \(0.469771\pi\) | |||||||
\(270\) | −27.1257 | − | 19.7510i | −0.100466 | − | 0.0731519i | ||||
\(271\) | 92.3309 | − | 284.165i | 0.340704 | − | 1.04858i | −0.623139 | − | 0.782111i | \(-0.714143\pi\) |
0.963844 | − | 0.266469i | \(-0.0858570\pi\) | |||||||
\(272\) | −303.876 | − | 98.7352i | −1.11719 | − | 0.362997i | ||||
\(273\) | −83.8020 | − | 81.1972i | −0.306967 | − | 0.297426i | ||||
\(274\) | 50.4561 | 0.184146 | ||||||||
\(275\) | −330.484 | + | 194.317i | −1.20176 | + | 0.706607i | ||||
\(276\) | −21.3080 | + | 3.72054i | −0.0772028 | + | 0.0134802i | ||||
\(277\) | 44.3143 | − | 32.1963i | 0.159980 | − | 0.116232i | −0.504915 | − | 0.863169i | \(-0.668476\pi\) |
0.664895 | + | 0.746937i | \(0.268476\pi\) | |||||||
\(278\) | 10.2202 | + | 3.32074i | 0.0367632 | + | 0.0119451i | ||||
\(279\) | −10.0201 | − | 317.281i | −0.0359143 | − | 1.13721i | ||||
\(280\) | −54.6866 | + | 95.5936i | −0.195309 | + | 0.341406i | ||||
\(281\) | 302.422 | − | 98.2628i | 1.07623 | − | 0.349690i | 0.283322 | − | 0.959025i | \(-0.408564\pi\) |
0.792913 | + | 0.609335i | \(0.208564\pi\) | |||||||
\(282\) | −3.52974 | − | 20.2153i | −0.0125168 | − | 0.0716853i | ||||
\(283\) | 125.667 | + | 386.765i | 0.444054 | + | 1.36666i | 0.883517 | + | 0.468398i | \(0.155169\pi\) |
−0.439463 | + | 0.898261i | \(0.644831\pi\) | |||||||
\(284\) | −145.817 | + | 200.701i | −0.513442 | + | 0.706692i | ||||
\(285\) | 257.306 | + | 200.078i | 0.902826 | + | 0.702029i | ||||
\(286\) | 10.7440 | − | 7.80594i | 0.0375663 | − | 0.0272935i | ||||
\(287\) | 243.251 | − | 334.807i | 0.847566 | − | 1.16657i | ||||
\(288\) | −29.3264 | + | 101.000i | −0.101828 | + | 0.350696i | ||||
\(289\) | 120.752 | − | 87.7312i | 0.417826 | − | 0.303568i | ||||
\(290\) | 1.01261 | + | 0.579286i | 0.00349175 | + | 0.00199754i | ||||
\(291\) | −121.175 | + | 247.397i | −0.416409 | + | 0.850163i | ||||
\(292\) | −65.2107 | − | 200.698i | −0.223324 | − | 0.687321i | ||||
\(293\) | − | 18.0217i | − | 0.0615076i | −0.999527 | − | 0.0307538i | \(-0.990209\pi\) | ||
0.999527 | − | 0.0307538i | \(-0.00979078\pi\) | |||||||
\(294\) | 26.3896 | + | 49.8319i | 0.0897604 | + | 0.169496i | ||||
\(295\) | 6.14566 | + | 56.3221i | 0.0208328 | + | 0.190922i | ||||
\(296\) | 66.5287 | + | 21.6165i | 0.224759 | + | 0.0730287i | ||||
\(297\) | 84.0578 | + | 405.426i | 0.283023 | + | 1.36507i | ||||
\(298\) | −24.3046 | + | 17.6583i | −0.0815589 | + | 0.0592560i | ||||
\(299\) | − | 6.37888i | − | 0.0213340i | ||||||
\(300\) | 251.461 | + | 154.948i | 0.838203 | + | 0.516494i | ||||
\(301\) | −3.92363 | −0.0130353 | ||||||||
\(302\) | 3.38131 | + | 4.65397i | 0.0111964 | + | 0.0154105i | ||||
\(303\) | −35.8638 | + | 252.132i | −0.118362 | + | 0.832118i | ||||
\(304\) | 102.484 | − | 315.413i | 0.337118 | − | 1.03754i | ||||
\(305\) | 40.1480 | − | 192.635i | 0.131633 | − | 0.631592i | ||||
\(306\) | −28.7082 | − | 36.9985i | −0.0938176 | − | 0.120910i | ||||
\(307\) | −541.607 | −1.76419 | −0.882096 | − | 0.471070i | \(-0.843868\pi\) | ||||
−0.882096 | + | 0.471070i | \(0.843868\pi\) | |||||||
\(308\) | 641.197 | − | 208.338i | 2.08181 | − | 0.676421i | ||||
\(309\) | −70.3076 | + | 143.544i | −0.227533 | + | 0.464543i | ||||
\(310\) | −4.75473 | − | 43.5748i | −0.0153378 | − | 0.140564i | ||||
\(311\) | 145.822 | + | 200.707i | 0.468882 | + | 0.645360i | 0.976321 | − | 0.216327i | \(-0.0694078\pi\) |
−0.507439 | + | 0.861688i | \(0.669408\pi\) | |||||||
\(312\) | −18.5212 | − | 9.07168i | −0.0593629 | − | 0.0290759i | ||||
\(313\) | −124.283 | − | 90.2972i | −0.397072 | − | 0.288489i | 0.371276 | − | 0.928523i | \(-0.378921\pi\) |
−0.768347 | + | 0.640033i | \(0.778921\pi\) | |||||||
\(314\) | 15.1471 | + | 20.8482i | 0.0482391 | + | 0.0663954i | ||||
\(315\) | 451.374 | − | 220.502i | 1.43293 | − | 0.700008i | ||||
\(316\) | −157.831 | − | 114.671i | −0.499466 | − | 0.362883i | ||||
\(317\) | −374.496 | + | 121.681i | −1.18137 | + | 0.383852i | −0.832877 | − | 0.553458i | \(-0.813308\pi\) |
−0.348497 | + | 0.937310i | \(0.613308\pi\) | |||||||
\(318\) | −6.17039 | − | 35.3386i | −0.0194037 | − | 0.111128i | ||||
\(319\) | −4.44839 | − | 13.6907i | −0.0139448 | − | 0.0429177i | ||||
\(320\) | 59.3171 | − | 284.611i | 0.185366 | − | 0.889411i | ||||
\(321\) | −32.5199 | + | 228.624i | −0.101308 | + | 0.712224i | ||||
\(322\) | −1.56978 | + | 4.83130i | −0.00487510 | + | 0.0150040i | ||||
\(323\) | 267.381 | + | 368.019i | 0.827806 | + | 1.13938i | ||||
\(324\) | 245.728 | − | 203.412i | 0.758419 | − | 0.627814i | ||||
\(325\) | −57.7691 | + | 65.1918i | −0.177751 | + | 0.200590i | ||||
\(326\) | − | 29.6501i | − | 0.0909513i | ||||||
\(327\) | 139.842 | + | 135.495i | 0.427650 | + | 0.414358i | ||||
\(328\) | 22.6028 | − | 69.5642i | 0.0689109 | − | 0.212086i | ||||
\(329\) | 292.190 | + | 94.9384i | 0.888117 | + | 0.288567i | ||||
\(330\) | 15.8855 | + | 54.9225i | 0.0481378 | + | 0.166432i | ||||
\(331\) | 71.0336 | + | 218.619i | 0.214603 | + | 0.660480i | 0.999182 | + | 0.0404507i | \(0.0128794\pi\) |
−0.784578 | + | 0.620030i | \(0.787121\pi\) | |||||||
\(332\) | − | 145.658i | − | 0.438730i | ||||||
\(333\) | −195.608 | − | 252.095i | −0.587411 | − | 0.757043i | ||||
\(334\) | −55.2117 | − | 40.1136i | −0.165304 | − | 0.120101i | ||||
\(335\) | −172.785 | − | 98.8460i | −0.515777 | − | 0.295063i | ||||
\(336\) | −367.094 | − | 355.684i | −1.09254 | − | 1.05858i | ||||
\(337\) | 87.9776 | + | 63.9195i | 0.261061 | + | 0.189672i | 0.710615 | − | 0.703581i | \(-0.248417\pi\) |
−0.449554 | + | 0.893253i | \(0.648417\pi\) | |||||||
\(338\) | −22.9166 | + | 31.5419i | −0.0678005 | + | 0.0933193i | ||||
\(339\) | −239.094 | + | 246.764i | −0.705293 | + | 0.727919i | ||||
\(340\) | 277.046 | + | 305.247i | 0.814840 | + | 0.897784i | ||||
\(341\) | −317.925 | + | 437.586i | −0.932331 | + | 1.28324i | ||||
\(342\) | 38.4032 | − | 29.7981i | 0.112290 | − | 0.0871290i | ||||
\(343\) | −297.195 | −0.866458 | ||||||||
\(344\) | −0.659534 | + | 0.214295i | −0.00191725 | + | 0.000622952i | ||||
\(345\) | 25.8274 | + | 9.33324i | 0.0748621 | + | 0.0270529i | ||||
\(346\) | −12.3531 | + | 38.0190i | −0.0357027 | + | 0.109882i | ||||
\(347\) | −283.414 | − | 92.0867i | −0.816754 | − | 0.265380i | −0.129298 | − | 0.991606i | \(-0.541272\pi\) |
−0.687456 | + | 0.726226i | \(0.741272\pi\) | |||||||
\(348\) | −7.71747 | + | 7.96504i | −0.0221766 | + | 0.0228880i | ||||
\(349\) | −332.066 | −0.951477 | −0.475739 | − | 0.879587i | \(-0.657819\pi\) | ||||
−0.475739 | + | 0.879587i | \(0.657819\pi\) | |||||||
\(350\) | 59.7968 | − | 35.1592i | 0.170848 | − | 0.100455i | ||||
\(351\) | 46.6283 | + | 81.7041i | 0.132844 | + | 0.232775i | ||||
\(352\) | 144.978 | − | 105.333i | 0.411869 | − | 0.299241i | ||||
\(353\) | 2.63525 | + | 0.856246i | 0.00746531 | + | 0.00242563i | 0.312747 | − | 0.949836i | \(-0.398751\pi\) |
−0.305282 | + | 0.952262i | \(0.598751\pi\) | |||||||
\(354\) | 8.36504 | + | 1.18986i | 0.0236301 | + | 0.00336119i | ||||
\(355\) | 287.223 | − | 129.248i | 0.809080 | − | 0.364078i | ||||
\(356\) | 625.162 | − | 203.127i | 1.75607 | − | 0.570582i | ||||
\(357\) | 690.657 | − | 120.594i | 1.93461 | − | 0.337798i | ||||
\(358\) | 8.87222 | + | 27.3059i | 0.0247827 | + | 0.0762734i | ||||
\(359\) | 252.013 | − | 346.866i | 0.701986 | − | 0.966201i | −0.297946 | − | 0.954583i | \(-0.596302\pi\) |
0.999933 | − | 0.0116187i | \(-0.00369842\pi\) | |||||||
\(360\) | 63.8297 | − | 61.7174i | 0.177305 | − | 0.171437i | ||||
\(361\) | −89.9357 | + | 65.3421i | −0.249129 | + | 0.181003i | ||||
\(362\) | 15.5551 | − | 21.4098i | 0.0429699 | − | 0.0591430i | ||||
\(363\) | 150.654 | − | 307.584i | 0.415026 | − | 0.847339i | ||||
\(364\) | 123.925 | − | 90.0365i | 0.340452 | − | 0.247353i | ||||
\(365\) | −54.6639 | + | 262.285i | −0.149764 | + | 0.718588i | ||||
\(366\) | −26.3538 | − | 12.9081i | −0.0720050 | − | 0.0352680i | ||||
\(367\) | 165.528 | + | 509.443i | 0.451030 | + | 1.38813i | 0.875733 | + | 0.482795i | \(0.160378\pi\) |
−0.424703 | + | 0.905333i | \(0.639622\pi\) | |||||||
\(368\) | − | 27.9426i | − | 0.0759311i | ||||||
\(369\) | −263.598 | + | 204.533i | −0.714357 | + | 0.554289i | ||||
\(370\) | −29.6119 | − | 32.6261i | −0.0800321 | − | 0.0881788i | ||||
\(371\) | 510.783 | + | 165.963i | 1.37677 | + | 0.447341i | ||||
\(372\) | 412.563 | + | 58.6839i | 1.10904 | + | 0.157752i | ||||
\(373\) | 512.750 | − | 372.535i | 1.37467 | − | 0.998753i | 0.377309 | − | 0.926088i | \(-0.376850\pi\) |
0.997356 | − | 0.0726651i | \(-0.0231504\pi\) | |||||||
\(374\) | 79.7938i | 0.213352i | ||||||||
\(375\) | −179.430 | − | 329.287i | −0.478481 | − | 0.878098i | ||||
\(376\) | 54.3003 | 0.144416 | ||||||||
\(377\) | −1.92244 | − | 2.64602i | −0.00509932 | − | 0.00701861i | ||||
\(378\) | −15.2092 | − | 73.3567i | −0.0402359 | − | 0.194065i | ||||
\(379\) | −113.881 | + | 350.489i | −0.300477 | + | 0.924774i | 0.680849 | + | 0.732424i | \(0.261611\pi\) |
−0.981326 | + | 0.192350i | \(0.938389\pi\) | |||||||
\(380\) | −316.836 | + | 287.564i | −0.833778 | + | 0.756747i | ||||
\(381\) | −272.121 | + | 144.108i | −0.714229 | + | 0.378236i | ||||
\(382\) | −62.0639 | −0.162471 | ||||||||
\(383\) | −627.010 | + | 203.728i | −1.63710 | + | 0.531927i | −0.975888 | − | 0.218270i | \(-0.929959\pi\) |
−0.661215 | + | 0.750197i | \(0.729959\pi\) | |||||||
\(384\) | −164.871 | − | 80.7538i | −0.429352 | − | 0.210296i | ||||
\(385\) | −837.957 | − | 174.642i | −2.17651 | − | 0.453616i | ||||
\(386\) | −13.4857 | − | 18.5615i | −0.0349370 | − | 0.0480867i | ||||
\(387\) | 3.03778 | + | 0.882047i | 0.00784956 | + | 0.00227919i | ||||
\(388\) | −292.567 | − | 212.562i | −0.754039 | − | 0.547841i | ||||
\(389\) | −310.806 | − | 427.788i | −0.798987 | − | 1.09971i | −0.992930 | − | 0.118699i | \(-0.962128\pi\) |
0.193943 | − | 0.981013i | \(-0.437872\pi\) | |||||||
\(390\) | 7.28867 | + | 10.7525i | 0.0186889 | + | 0.0275705i | ||||
\(391\) | 31.0073 | + | 22.5281i | 0.0793026 | + | 0.0576167i | ||||
\(392\) | −141.905 | + | 46.1076i | −0.362001 | + | 0.117621i | ||||
\(393\) | 581.857 | − | 101.597i | 1.48055 | − | 0.258516i | ||||
\(394\) | −3.01795 | − | 9.28831i | −0.00765978 | − | 0.0235744i | ||||
\(395\) | 101.641 | + | 225.873i | 0.257318 | + | 0.571830i | ||||
\(396\) | −543.267 | + | 17.1570i | −1.37189 | + | 0.0433257i | ||||
\(397\) | 133.827 | − | 411.876i | 0.337095 | − | 1.03747i | −0.628587 | − | 0.777740i | \(-0.716366\pi\) |
0.965681 | − | 0.259731i | \(-0.0836338\pi\) | |||||||
\(398\) | −29.6599 | − | 40.8233i | −0.0745223 | − | 0.102571i | ||||
\(399\) | 125.172 | + | 716.878i | 0.313715 | + | 1.79669i | ||||
\(400\) | −253.057 | + | 285.572i | −0.632643 | + | 0.713931i | ||||
\(401\) | − | 542.686i | − | 1.35333i | −0.736290 | − | 0.676666i | \(-0.763424\pi\) | ||
0.736290 | − | 0.676666i | \(-0.236576\pi\) | |||||||
\(402\) | −20.6574 | + | 21.3201i | −0.0513865 | + | 0.0530350i | ||||
\(403\) | −37.9754 | + | 116.876i | −0.0942318 | + | 0.290016i | ||||
\(404\) | −317.953 | − | 103.309i | −0.787012 | − | 0.255716i | ||||
\(405\) | −399.036 | + | 69.2482i | −0.985274 | + | 0.170983i | ||||
\(406\) | 0.804879 | + | 2.47716i | 0.00198246 | + | 0.00610139i | ||||
\(407\) | 543.688i | 1.33584i | ||||||||
\(408\) | 109.508 | − | 57.9923i | 0.268402 | − | 0.142138i | ||||
\(409\) | −599.208 | − | 435.350i | −1.46506 | − | 1.06443i | −0.982009 | − | 0.188832i | \(-0.939530\pi\) |
−0.483048 | − | 0.875594i | \(-0.660470\pi\) | |||||||
\(410\) | −34.1148 | + | 30.9630i | −0.0832068 | + | 0.0755195i | ||||
\(411\) | 423.777 | − | 437.372i | 1.03109 | − | 1.06417i | ||||
\(412\) | −169.752 | − | 123.332i | −0.412019 | − | 0.299349i | ||||
\(413\) | −74.3525 | + | 102.337i | −0.180030 | + | 0.247790i | ||||
\(414\) | 2.30146 | − | 3.38763i | 0.00555909 | − | 0.00818267i | ||||
\(415\) | −91.8285 | + | 160.519i | −0.221274 | + | 0.386792i | ||||
\(416\) | 23.9319 | − | 32.9395i | 0.0575287 | − | 0.0791814i | ||||
\(417\) | 114.624 | − | 60.7016i | 0.274878 | − | 0.145567i | ||||
\(418\) | −82.8232 | −0.198142 | ||||||||
\(419\) | 707.190 | − | 229.780i | 1.68781 | − | 0.548401i | 0.701405 | − | 0.712763i | \(-0.252556\pi\) |
0.986400 | + | 0.164362i | \(0.0525565\pi\) | |||||||
\(420\) | 183.229 | + | 633.495i | 0.436259 | + | 1.50832i | ||||
\(421\) | −8.91584 | + | 27.4401i | −0.0211778 | + | 0.0651784i | −0.961087 | − | 0.276246i | \(-0.910909\pi\) |
0.939909 | + | 0.341425i | \(0.110909\pi\) | |||||||
\(422\) | −4.00875 | − | 1.30252i | −0.00949940 | − | 0.00308654i | ||||
\(423\) | −204.879 | − | 139.189i | −0.484348 | − | 0.329053i | ||||
\(424\) | 94.9233 | 0.223876 | ||||||||
\(425\) | −112.871 | − | 511.049i | −0.265580 | − | 1.20247i | ||||
\(426\) | −8.07925 | − | 46.2709i | −0.0189654 | − | 0.108617i | ||||
\(427\) | 355.430 | − | 258.235i | 0.832390 | − | 0.604766i | ||||
\(428\) | −288.308 | − | 93.6769i | −0.673616 | − | 0.218871i | ||||
\(429\) | 22.5730 | − | 158.694i | 0.0526177 | − | 0.369916i | ||||
\(430\) | 0.427607 | + | 0.0891193i | 0.000994434 | + | 0.000207254i | ||||
\(431\) | −755.842 | + | 245.588i | −1.75369 | + | 0.569810i | −0.996516 | − | 0.0833999i | \(-0.973422\pi\) |
−0.757177 | + | 0.653209i | \(0.773422\pi\) | |||||||
\(432\) | 204.255 | + | 357.904i | 0.472813 | + | 0.828482i | ||||
\(433\) | 14.0932 | + | 43.3745i | 0.0325479 | + | 0.100172i | 0.966011 | − | 0.258502i | \(-0.0832289\pi\) |
−0.933463 | + | 0.358674i | \(0.883229\pi\) | |||||||
\(434\) | 57.5244 | − | 79.1756i | 0.132545 | − | 0.182432i | ||||
\(435\) | 13.5263 | − | 3.91227i | 0.0310949 | − | 0.00899373i | ||||
\(436\) | −206.795 | + | 150.245i | −0.474300 | + | 0.344599i | ||||
\(437\) | −23.3834 | + | 32.1846i | −0.0535090 | + | 0.0736489i | ||||
\(438\) | 35.8824 | + | 17.5751i | 0.0819232 | + | 0.0401259i | ||||
\(439\) | −338.183 | + | 245.705i | −0.770349 | + | 0.559691i | −0.902067 | − | 0.431596i | \(-0.857951\pi\) |
0.131718 | + | 0.991287i | \(0.457951\pi\) | |||||||
\(440\) | −150.393 | + | 16.4103i | −0.341802 | + | 0.0372962i | ||||
\(441\) | 653.605 | + | 189.780i | 1.48210 | + | 0.430341i | ||||
\(442\) | 5.60230 | + | 17.2421i | 0.0126749 | + | 0.0390093i | ||||
\(443\) | 382.973i | 0.864500i | 0.901754 | + | 0.432250i | \(0.142280\pi\) | ||||
−0.901754 | + | 0.432250i | \(0.857720\pi\) | |||||||
\(444\) | 370.171 | − | 196.032i | 0.833720 | − | 0.441514i | ||||
\(445\) | −817.002 | − | 170.275i | −1.83596 | − | 0.382640i | ||||
\(446\) | 80.2950 | + | 26.0894i | 0.180034 | + | 0.0584965i | ||||
\(447\) | −51.0638 | + | 358.992i | −0.114237 | + | 0.803113i | ||||
\(448\) | 525.135 | − | 381.533i | 1.17218 | − | 0.851635i | ||||
\(449\) | − | 495.237i | − | 1.10298i | −0.834183 | − | 0.551488i | \(-0.814060\pi\) | ||
0.834183 | − | 0.551488i | \(-0.185940\pi\) | |||||||
\(450\) | −54.2003 | + | 13.7786i | −0.120445 | + | 0.0306191i | ||||
\(451\) | 568.494 | 1.26052 | ||||||||
\(452\) | −265.123 | − | 364.910i | −0.586554 | − | 0.807323i | ||||
\(453\) | 68.7417 | + | 9.77797i | 0.151748 | + | 0.0215849i | ||||
\(454\) | 5.94023 | − | 18.2821i | 0.0130842 | − | 0.0402690i | ||||
\(455\) | −193.330 | + | 21.0955i | −0.424901 | + | 0.0463637i | ||||
\(456\) | 60.1941 | + | 113.666i | 0.132005 | + | 0.249267i | ||||
\(457\) | 412.834 | 0.903357 | 0.451678 | − | 0.892181i | \(-0.350825\pi\) | ||||
0.451678 | + | 0.892181i | \(0.350825\pi\) | |||||||
\(458\) | 59.1802 | − | 19.2288i | 0.129214 | − | 0.0419843i | ||||
\(459\) | −561.835 | − | 61.8952i | −1.22404 | − | 0.134848i | ||||
\(460\) | −17.9013 | + | 31.2920i | −0.0389159 | + | 0.0680261i | ||||
\(461\) | 63.6196 | + | 87.5649i | 0.138004 | + | 0.189946i | 0.872425 | − | 0.488748i | \(-0.162546\pi\) |
−0.734421 | + | 0.678694i | \(0.762546\pi\) | |||||||
\(462\) | −56.1497 | + | 114.638i | −0.121536 | + | 0.248135i | ||||
\(463\) | −372.354 | − | 270.531i | −0.804220 | − | 0.584300i | 0.107929 | − | 0.994159i | \(-0.465578\pi\) |
−0.912149 | + | 0.409858i | \(0.865578\pi\) | |||||||
\(464\) | −8.42126 | − | 11.5909i | −0.0181493 | − | 0.0249803i | ||||
\(465\) | −417.657 | − | 324.766i | −0.898188 | − | 0.698422i | ||||
\(466\) | 43.1517 | + | 31.3515i | 0.0926002 | + | 0.0672780i | ||||
\(467\) | 412.064 | − | 133.888i | 0.882363 | − | 0.286697i | 0.167425 | − | 0.985885i | \(-0.446455\pi\) |
0.714938 | + | 0.699188i | \(0.246455\pi\) | |||||||
\(468\) | −116.186 | + | 41.8499i | −0.248261 | + | 0.0894230i | ||||
\(469\) | −137.340 | − | 422.689i | −0.292836 | − | 0.901255i | ||||
\(470\) | −29.6873 | − | 16.9833i | −0.0631644 | − | 0.0361347i | ||||
\(471\) | 307.939 | + | 43.8019i | 0.653798 | + | 0.0929977i | ||||
\(472\) | −6.90879 | + | 21.2631i | −0.0146373 | + | 0.0450489i | ||||
\(473\) | −3.16808 | − | 4.36049i | −0.00669784 | − | 0.00921878i | ||||
\(474\) | 36.3875 | − | 6.35353i | 0.0767669 | − | 0.0134041i | ||||
\(475\) | 530.451 | − | 117.157i | 1.11674 | − | 0.246646i | ||||
\(476\) | 920.370i | 1.93355i | ||||||||
\(477\) | −358.153 | − | 243.319i | −0.750844 | − | 0.510103i | ||||
\(478\) | 14.5821 | − | 44.8792i | 0.0305065 | − | 0.0938895i | ||||
\(479\) | 500.908 | + | 162.755i | 1.04574 | + | 0.339781i | 0.780994 | − | 0.624539i | \(-0.214713\pi\) |
0.264743 | + | 0.964319i | \(0.414713\pi\) | |||||||
\(480\) | 98.3527 | + | 145.093i | 0.204902 | + | 0.302278i | ||||
\(481\) | 38.1721 | + | 117.482i | 0.0793600 | + | 0.244245i | ||||
\(482\) | 67.7066i | 0.140470i | ||||||||
\(483\) | 28.6949 | + | 54.1852i | 0.0594098 | + | 0.112185i | ||||
\(484\) | 363.743 | + | 264.275i | 0.751535 | + | 0.546022i | ||||
\(485\) | 188.408 | + | 418.694i | 0.388470 | + | 0.863287i | ||||
\(486\) | −4.71550 | + | 60.2138i | −0.00970268 | + | 0.123897i | ||||
\(487\) | 419.182 | + | 304.553i | 0.860743 | + | 0.625366i | 0.928087 | − | 0.372364i | \(-0.121453\pi\) |
−0.0673443 | + | 0.997730i | \(0.521453\pi\) | |||||||
\(488\) | 45.6413 | − | 62.8199i | 0.0935274 | − | 0.128729i | ||||
\(489\) | −257.018 | − | 249.029i | −0.525600 | − | 0.509263i | ||||
\(490\) | 92.0034 | + | 19.1748i | 0.187762 | + | 0.0391323i | ||||
\(491\) | 559.293 | − | 769.801i | 1.13909 | − | 1.56782i | 0.369567 | − | 0.929204i | \(-0.379506\pi\) |
0.769523 | − | 0.638619i | \(-0.220494\pi\) | |||||||
\(492\) | −204.977 | − | 387.061i | −0.416619 | − | 0.786710i | ||||
\(493\) | 19.6516 | 0.0398612 | ||||||||
\(494\) | −17.8967 | + | 5.81499i | −0.0362282 | + | 0.0117712i | ||||
\(495\) | 609.509 | + | 323.589i | 1.23133 | + | 0.653715i | ||||
\(496\) | −166.351 | + | 511.976i | −0.335385 | + | 1.03221i | ||||
\(497\) | 668.798 | + | 217.306i | 1.34567 | + | 0.437234i | ||||
\(498\) | 19.8065 | + | 19.1908i | 0.0397720 | + | 0.0385358i | ||||
\(499\) | −49.9179 | −0.100036 | −0.0500179 | − | 0.998748i | \(-0.515928\pi\) | ||||
−0.0500179 | + | 0.998748i | \(0.515928\pi\) | |||||||
\(500\) | 466.341 | − | 157.683i | 0.932681 | − | 0.315365i | ||||
\(501\) | −811.438 | + | 141.683i | −1.61964 | + | 0.282801i | ||||
\(502\) | −16.0634 | + | 11.6708i | −0.0319988 | + | 0.0232485i | ||||
\(503\) | 432.389 | + | 140.492i | 0.859620 | + | 0.279308i | 0.705470 | − | 0.708740i | \(-0.250736\pi\) |
0.154150 | + | 0.988047i | \(0.450736\pi\) | |||||||
\(504\) | 198.136 | − | 6.25737i | 0.393128 | − | 0.0124154i | ||||
\(505\) | 285.261 | + | 314.298i | 0.564874 | + | 0.622373i | ||||
\(506\) | −6.63672 | + | 2.15640i | −0.0131160 | + | 0.00426166i | ||||
\(507\) | 80.9425 | + | 463.568i | 0.159650 | + | 0.914335i | ||||
\(508\) | −124.912 | − | 384.440i | −0.245890 | − | 0.756772i | ||||
\(509\) | −449.507 | + | 618.693i | −0.883117 | + | 1.21551i | 0.0924302 | + | 0.995719i | \(0.470536\pi\) |
−0.975548 | + | 0.219788i | \(0.929464\pi\) | |||||||
\(510\) | −78.0086 | − | 2.54460i | −0.152958 | − | 0.00498942i | ||||
\(511\) | −483.940 | + | 351.603i | −0.947045 | + | 0.688068i | ||||
\(512\) | 175.636 | − | 241.742i | 0.343038 | − | 0.472151i | ||||
\(513\) | 64.2451 | − | 583.166i | 0.125234 | − | 1.13677i | ||||
\(514\) | −49.9846 | + | 36.3160i | −0.0972464 | + | 0.0706536i | ||||
\(515\) | 109.317 | + | 242.933i | 0.212267 | + | 0.471714i | ||||
\(516\) | −1.82657 | + | 3.72922i | −0.00353986 | + | 0.00722716i | ||||
\(517\) | 130.416 | + | 401.380i | 0.252256 | + | 0.776363i | ||||
\(518\) | − | 98.3733i | − | 0.189910i | ||||||
\(519\) | 225.810 | + | 426.401i | 0.435086 | + | 0.821582i | ||||
\(520\) | −31.3452 | + | 14.1050i | −0.0602793 | + | 0.0271251i | ||||
\(521\) | −647.821 | − | 210.490i | −1.24342 | − | 0.404011i | −0.387861 | − | 0.921718i | \(-0.626786\pi\) |
−0.855558 | + | 0.517707i | \(0.826786\pi\) | |||||||
\(522\) | −0.0662833 | − | 2.09883i | −0.000126979 | − | 0.00402074i | ||||
\(523\) | 155.910 | − | 113.275i | 0.298108 | − | 0.216588i | −0.428669 | − | 0.903461i | \(-0.641017\pi\) |
0.726777 | + | 0.686874i | \(0.241017\pi\) | |||||||
\(524\) | 775.384i | 1.47974i | ||||||||
\(525\) | 197.457 | − | 813.640i | 0.376109 | − | 1.54979i | ||||
\(526\) | 36.0944 | 0.0686204 | ||||||||
\(527\) | −434.012 | − | 597.366i | −0.823552 | − | 1.13352i | ||||
\(528\) | 98.8809 | − | 695.159i | 0.187274 | − | 1.31659i | ||||
\(529\) | 162.434 | − | 499.921i | 0.307059 | − | 0.945030i | ||||
\(530\) | −51.8967 | − | 29.6888i | −0.0979184 | − | 0.0560165i | ||||
\(531\) | 80.5716 | − | 62.5177i | 0.151736 | − | 0.117736i | ||||
\(532\) | −955.313 | −1.79570 | ||||||||
\(533\) | 122.842 | − | 39.9138i | 0.230473 | − | 0.0748852i | ||||
\(534\) | −54.7455 | + | 111.771i | −0.102520 | + | 0.209310i | ||||
\(535\) | 258.664 | + | 284.994i | 0.483485 | + | 0.532699i | ||||
\(536\) | −46.1717 | − | 63.5499i | −0.0861412 | − | 0.118563i | ||||
\(537\) | 311.214 | + | 152.433i | 0.579543 | + | 0.283859i | ||||
\(538\) | 23.5234 | + | 17.0908i | 0.0437239 | + | 0.0317673i | ||||
\(539\) | −681.640 | − | 938.197i | −1.26464 | − | 1.74063i | ||||
\(540\) | 0.551516 | − | 531.660i | 0.00102133 | − | 0.984555i | ||||
\(541\) | 17.1958 | + | 12.4934i | 0.0317851 | + | 0.0230932i | 0.603564 | − | 0.797314i | \(-0.293747\pi\) |
−0.571779 | + | 0.820408i | \(0.693747\pi\) | |||||||
\(542\) | −70.6298 | + | 22.9490i | −0.130313 | + | 0.0423414i | ||||
\(543\) | −54.9415 | − | 314.657i | −0.101181 | − | 0.579478i | ||||
\(544\) | 75.5969 | + | 232.663i | 0.138965 | + | 0.427690i | ||||
\(545\) | 322.613 | − | 35.2023i | 0.591950 | − | 0.0645914i | ||||
\(546\) | −4.08429 | + | 28.7137i | −0.00748039 | + | 0.0525891i | ||||
\(547\) | 108.425 | − | 333.697i | 0.198217 | − | 0.610050i | −0.801707 | − | 0.597718i | \(-0.796074\pi\) |
0.999924 | − | 0.0123323i | \(-0.00392560\pi\) | |||||||
\(548\) | 469.911 | + | 646.776i | 0.857501 | + | 1.18025i | ||||
\(549\) | −333.236 | + | 120.031i | −0.606987 | + | 0.218635i | ||||
\(550\) | 87.3559 | + | 38.0659i | 0.158829 | + | 0.0692107i | ||||
\(551\) | 20.3977i | 0.0370194i | ||||||||
\(552\) | 7.78283 | + | 7.54092i | 0.0140993 | + | 0.0136611i | ||||
\(553\) | −170.889 | + | 525.943i | −0.309022 | + | 0.951073i | ||||
\(554\) | −12.9482 | − | 4.20713i | −0.0233723 | − | 0.00759411i | ||||
\(555\) | −531.524 | − | 17.3380i | −0.957700 | − | 0.0312397i | ||||
\(556\) | 52.6159 | + | 161.935i | 0.0946330 | + | 0.291250i | ||||
\(557\) | − | 258.372i | − | 0.463864i | −0.972732 | − | 0.231932i | \(-0.925495\pi\) | ||
0.972732 | − | 0.231932i | \(-0.0745047\pi\) | |||||||
\(558\) | −62.3359 | + | 48.3682i | −0.111713 | + | 0.0866813i | ||||
\(559\) | −0.990717 | − | 0.719798i | −0.00177230 | − | 0.00128765i | ||||
\(560\) | −846.881 | + | 92.4086i | −1.51229 | + | 0.165015i | ||||
\(561\) | 691.682 | + | 670.183i | 1.23294 | + | 1.19462i | ||||
\(562\) | −63.9414 | − | 46.4561i | −0.113775 | − | 0.0826621i | ||||
\(563\) | 236.842 | − | 325.985i | 0.420678 | − | 0.579013i | −0.545104 | − | 0.838368i | \(-0.683510\pi\) |
0.965782 | + | 0.259355i | \(0.0835099\pi\) | |||||||
\(564\) | 226.258 | − | 233.516i | 0.401166 | − | 0.414036i | ||||
\(565\) | 62.1180 | + | 569.282i | 0.109943 | + | 1.00758i | ||||
\(566\) | 59.4123 | − | 81.7740i | 0.104969 | − | 0.144477i | ||||
\(567\) | −763.623 | − | 484.279i | −1.34678 | − | 0.854107i | ||||
\(568\) | 124.289 | 0.218818 | ||||||||
\(569\) | 611.993 | − | 198.849i | 1.07556 | − | 0.349470i | 0.282909 | − | 0.959147i | \(-0.408701\pi\) |
0.792650 | + | 0.609676i | \(0.208701\pi\) | |||||||
\(570\) | 2.64121 | − | 80.9702i | 0.00463370 | − | 0.142053i | ||||
\(571\) | 329.891 | − | 1015.30i | 0.577743 | − | 1.77811i | −0.0488991 | − | 0.998804i | \(-0.515571\pi\) |
0.626642 | − | 0.779307i | \(-0.284429\pi\) | |||||||
\(572\) | 200.122 | + | 65.0237i | 0.349864 | + | 0.113678i | ||||
\(573\) | −521.270 | + | 537.992i | −0.909721 | + | 0.938905i | ||||
\(574\) | −102.862 | −0.179202 | ||||||||
\(575\) | 39.4553 | − | 23.1988i | 0.0686179 | − | 0.0403457i | ||||
\(576\) | −492.344 | + | 177.341i | −0.854763 | + | 0.307883i | ||||
\(577\) | 448.369 | − | 325.759i | 0.777069 | − | 0.564573i | −0.127029 | − | 0.991899i | \(-0.540544\pi\) |
0.904098 | + | 0.427326i | \(0.140544\pi\) | |||||||
\(578\) | −35.2825 | − | 11.4640i | −0.0610424 | − | 0.0198339i | ||||
\(579\) | −274.163 | − | 38.9975i | −0.473511 | − | 0.0673532i | ||||
\(580\) | 2.00504 | + | 18.3752i | 0.00345697 | + | 0.0316815i | ||||
\(581\) | −392.680 | + | 127.590i | −0.675870 | + | 0.219603i | ||||
\(582\) | 67.4505 | − | 11.7774i | 0.115894 | − | 0.0202360i | ||||
\(583\) | 227.983 | + | 701.658i | 0.391051 | + | 1.20353i | ||||
\(584\) | −62.1435 | + | 85.5331i | −0.106410 | + | 0.146461i | ||||
\(585\) | 154.424 | + | 27.1287i | 0.263972 | + | 0.0463738i | ||||
\(586\) | −3.62386 | + | 2.63289i | −0.00618406 | + | 0.00449298i | ||||
\(587\) | −66.4863 | + | 91.5106i | −0.113265 | + | 0.155895i | −0.861885 | − | 0.507103i | \(-0.830716\pi\) |
0.748621 | + | 0.662998i | \(0.230716\pi\) | |||||||
\(588\) | −393.002 | + | 802.374i | −0.668371 | + | 1.36458i | ||||
\(589\) | 620.046 | − | 450.490i | 1.05271 | − | 0.764838i | ||||
\(590\) | 10.4276 | − | 9.46418i | 0.0176738 | − | 0.0160410i | ||||
\(591\) | −105.862 | − | 51.8511i | −0.179124 | − | 0.0877345i | ||||
\(592\) | 167.213 | + | 514.628i | 0.282454 | + | 0.869304i | ||||
\(593\) | 691.979i | 1.16691i | 0.812144 | + | 0.583456i | \(0.198300\pi\) | ||||
−0.812144 | + | 0.583456i | \(0.801700\pi\) | |||||||
\(594\) | 69.2438 | − | 76.1334i | 0.116572 | − | 0.128171i | ||||
\(595\) | 580.236 | − | 1014.27i | 0.975187 | − | 1.70465i | ||||
\(596\) | −452.709 | − | 147.094i | −0.759579 | − | 0.246802i | ||||
\(597\) | −602.983 | − | 85.7696i | −1.01002 | − | 0.143668i | ||||
\(598\) | −1.28268 | + | 0.931923i | −0.00214495 | + | 0.00155840i | ||||
\(599\) | 466.680i | 0.779099i | 0.921006 | + | 0.389550i | \(0.127369\pi\) | ||||
−0.921006 | + | 0.389550i | \(0.872631\pi\) | |||||||
\(600\) | −11.2472 | − | 147.552i | −0.0187453 | − | 0.245919i | ||||
\(601\) | 1116.63 | 1.85796 | 0.928980 | − | 0.370131i | \(-0.120687\pi\) | ||||
0.928980 | + | 0.370131i | \(0.120687\pi\) | |||||||
\(602\) | 0.573223 | + | 0.788974i | 0.000952198 | + | 0.00131059i | ||||
\(603\) | 11.3102 | + | 358.132i | 0.0187565 | + | 0.593916i | ||||
\(604\) | −28.1664 | + | 86.6872i | −0.0466331 | + | 0.143522i | ||||
\(605\) | −234.244 | − | 520.554i | −0.387180 | − | 0.860420i | ||||
\(606\) | 55.9389 | − | 29.6237i | 0.0923085 | − | 0.0488840i | ||||
\(607\) | −846.949 | −1.39530 | −0.697651 | − | 0.716438i | \(-0.745771\pi\) | ||||
−0.697651 | + | 0.716438i | \(0.745771\pi\) | |||||||
\(608\) | −241.497 | + | 78.4670i | −0.397198 | + | 0.129058i | ||||
\(609\) | 28.2331 | + | 13.8285i | 0.0463597 | + | 0.0227070i | ||||
\(610\) | −44.6011 | + | 20.0701i | −0.0731166 | + | 0.0329017i | ||||
\(611\) | 56.3615 | + | 77.5749i | 0.0922447 | + | 0.126964i | ||||
\(612\) | 206.903 | − | 712.575i | 0.338076 | − | 1.16434i | ||||
\(613\) | 827.328 | + | 601.089i | 1.34964 | + | 0.980569i | 0.999029 | + | 0.0440468i | \(0.0140251\pi\) |
0.350608 | + | 0.936522i | \(0.385975\pi\) | |||||||
\(614\) | 79.1262 | + | 108.908i | 0.128870 | + | 0.177374i | ||||
\(615\) | −18.1291 | + | 555.775i | −0.0294782 | + | 0.903700i | ||||
\(616\) | −273.264 | − | 198.538i | −0.443611 | − | 0.322302i | ||||
\(617\) | −752.392 | + | 244.467i | −1.21944 | + | 0.396219i | −0.846877 | − | 0.531789i | \(-0.821520\pi\) |
−0.372560 | + | 0.928008i | \(0.621520\pi\) | |||||||
\(618\) | 39.1358 | − | 6.83341i | 0.0633265 | − | 0.0110573i | ||||
\(619\) | 236.920 | + | 729.166i | 0.382747 | + | 1.17797i | 0.938102 | + | 0.346360i | \(0.112582\pi\) |
−0.555355 | + | 0.831614i | \(0.687418\pi\) | |||||||
\(620\) | 514.286 | − | 466.772i | 0.829494 | − | 0.752859i | ||||
\(621\) | −10.0354 | − | 48.4024i | −0.0161600 | − | 0.0779426i | ||||
\(622\) | 19.0548 | − | 58.6447i | 0.0306348 | − | 0.0942841i | ||||
\(623\) | −1095.22 | − | 1507.44i | −1.75798 | − | 2.41965i | ||||
\(624\) | −27.4404 | − | 157.154i | −0.0439750 | − | 0.251850i | ||||
\(625\) | −613.327 | − | 120.229i | −0.981323 | − | 0.192366i | ||||
\(626\) | 38.1832i | 0.0609956i | ||||||||
\(627\) | −695.627 | + | 717.942i | −1.10945 | + | 1.14504i | ||||
\(628\) | −126.176 | + | 388.329i | −0.200917 | + | 0.618358i | ||||
\(629\) | −705.884 | − | 229.356i | −1.12223 | − | 0.364635i | ||||
\(630\) | −110.283 | − | 58.5493i | −0.175052 | − | 0.0929353i | ||||
\(631\) | −312.146 | − | 960.687i | −0.494685 | − | 1.52248i | −0.817447 | − | 0.576004i | \(-0.804611\pi\) |
0.322762 | − | 0.946480i | \(-0.395389\pi\) | |||||||
\(632\) | 97.7407i | 0.154653i | ||||||||
\(633\) | −44.9599 | + | 23.8095i | −0.0710267 | + | 0.0376138i | ||||
\(634\) | 79.1800 | + | 57.5276i | 0.124890 | + | 0.0907376i | ||||
\(635\) | −104.710 | + | 502.411i | −0.164897 | + | 0.791198i | ||||
\(636\) | 395.525 | − | 408.213i | 0.621894 | − | 0.641844i | ||||
\(637\) | −213.162 | − | 154.871i | −0.334634 | − | 0.243125i | ||||
\(638\) | −2.10308 | + | 2.89465i | −0.00329637 | + | 0.00453706i | ||||
\(639\) | −468.950 | − | 318.592i | −0.733881 | − | 0.498579i | ||||
\(640\) | −279.027 | + | 125.559i | −0.435980 | + | 0.196187i | ||||
\(641\) | −42.4466 | + | 58.4227i | −0.0662193 | + | 0.0911430i | −0.840842 | − | 0.541280i | \(-0.817940\pi\) |
0.774623 | + | 0.632424i | \(0.217940\pi\) | |||||||
\(642\) | 50.7233 | − | 26.8616i | 0.0790083 | − | 0.0418406i | ||||
\(643\) | −799.535 | −1.24344 | −0.621722 | − | 0.783238i | \(-0.713567\pi\) | ||||
−0.621722 | + | 0.783238i | \(0.713567\pi\) | |||||||
\(644\) | −76.5502 | + | 24.8727i | −0.118867 | + | 0.0386222i | ||||
\(645\) | 4.36396 | − | 2.95814i | 0.00676582 | − | 0.00458627i | ||||
\(646\) | 34.9391 | − | 107.532i | 0.0540853 | − | 0.166458i | ||||
\(647\) | 714.668 | + | 232.210i | 1.10459 | + | 0.358902i | 0.803866 | − | 0.594810i | \(-0.202773\pi\) |
0.300721 | + | 0.953712i | \(0.402773\pi\) | |||||||
\(648\) | −154.809 | − | 39.6972i | −0.238903 | − | 0.0612612i | ||||
\(649\) | −173.767 | −0.267745 | ||||||||
\(650\) | 21.5487 | + | 2.09216i | 0.0331519 | + | 0.00321871i | ||||
\(651\) | −203.179 | − | 1163.63i | −0.312103 | − | 1.78745i | ||||
\(652\) | 380.073 | − | 276.139i | 0.582934 | − | 0.423526i | ||||
\(653\) | 210.330 | + | 68.3405i | 0.322098 | + | 0.104656i | 0.465603 | − | 0.884993i | \(-0.345837\pi\) |
−0.143505 | + | 0.989650i | \(0.545837\pi\) | |||||||
\(654\) | 6.81552 | − | 47.9149i | 0.0104213 | − | 0.0732644i | ||||
\(655\) | 488.832 | − | 854.491i | 0.746308 | − | 1.30457i | ||||
\(656\) | 538.109 | − | 174.842i | 0.820288 | − | 0.266528i | ||||
\(657\) | 453.721 | − | 163.429i | 0.690595 | − | 0.248750i | ||||
\(658\) | −23.5971 | − | 72.6245i | −0.0358619 | − | 0.110372i | ||||
\(659\) | −523.311 | + | 720.276i | −0.794099 | + | 1.09298i | 0.199487 | + | 0.979901i | \(0.436073\pi\) |
−0.993586 | + | 0.113083i | \(0.963927\pi\) | |||||||
\(660\) | −556.083 | + | 715.136i | −0.842550 | + | 1.08354i | ||||
\(661\) | −223.240 | + | 162.194i | −0.337731 | + | 0.245376i | −0.743704 | − | 0.668509i | \(-0.766933\pi\) |
0.405973 | + | 0.913885i | \(0.366933\pi\) | |||||||
\(662\) | 33.5829 | − | 46.2228i | 0.0507294 | − | 0.0698230i | ||||
\(663\) | 196.514 | + | 96.2524i | 0.296401 | + | 0.145177i | ||||
\(664\) | −59.0382 | + | 42.8938i | −0.0889130 | + | 0.0645991i | ||||
\(665\) | 1052.78 | + | 602.265i | 1.58312 | + | 0.905662i | ||||
\(666\) | −22.1147 | + | 76.1633i | −0.0332053 | + | 0.114359i | ||||
\(667\) | 0.531077 | + | 1.63449i | 0.000796218 | + | 0.00245051i | ||||
\(668\) | − | 1081.32i | − | 1.61875i | ||||||
\(669\) | 900.545 | − | 476.903i | 1.34611 | − | 0.712860i | ||||
\(670\) | 5.36690 | + | 49.1851i | 0.00801030 | + | 0.0734106i | ||||
\(671\) | 573.975 | + | 186.496i | 0.855402 | + | 0.277937i | ||||
\(672\) | −55.1131 | + | 387.460i | −0.0820136 | + | 0.576577i | ||||
\(673\) | −429.479 | + | 312.035i | −0.638156 | + | 0.463648i | −0.859216 | − | 0.511613i | \(-0.829048\pi\) |
0.221060 | + | 0.975260i | \(0.429048\pi\) | |||||||
\(674\) | − | 27.0291i | − | 0.0401026i | ||||||
\(675\) | −335.786 | + | 585.553i | −0.497461 | + | 0.867486i | ||||
\(676\) | −617.751 | −0.913833 | ||||||||
\(677\) | 508.648 | + | 700.094i | 0.751326 | + | 1.03411i | 0.997886 | + | 0.0649846i | \(0.0206998\pi\) |
−0.246560 | + | 0.969128i | \(0.579300\pi\) | |||||||
\(678\) | 84.5506 | + | 12.0267i | 0.124706 | + | 0.0177384i | ||||
\(679\) | −316.773 | + | 974.926i | −0.466528 | + | 1.43583i | ||||
\(680\) | 42.1376 | − | 202.182i | 0.0619670 | − | 0.297326i | ||||
\(681\) | −108.585 | − | 205.043i | −0.159449 | − | 0.301090i | ||||
\(682\) | 134.438 | 0.197124 | ||||||||
\(683\) | −201.648 | + | 65.5196i | −0.295239 | + | 0.0959291i | −0.452892 | − | 0.891566i | \(-0.649608\pi\) |
0.157652 | + | 0.987495i | \(0.449608\pi\) | |||||||
\(684\) | 739.629 | + | 214.758i | 1.08133 | + | 0.313974i | ||||
\(685\) | −110.100 | − | 1009.01i | −0.160729 | − | 1.47301i | ||||
\(686\) | 43.4188 | + | 59.7609i | 0.0632927 | + | 0.0871150i | ||||
\(687\) | 330.368 | − | 674.497i | 0.480885 | − | 0.981801i | ||||
\(688\) | −4.33983 | − | 3.15307i | −0.00630789 | − | 0.00458295i | ||||
\(689\) | 98.5264 | + | 135.610i | 0.142999 | + | 0.196821i | ||||
\(690\) | −1.89651 | − | 6.55700i | −0.00274857 | − | 0.00950289i | ||||
\(691\) | −543.042 | − | 394.543i | −0.785878 | − | 0.570974i | 0.120860 | − | 0.992670i | \(-0.461435\pi\) |
−0.906737 | + | 0.421696i | \(0.861435\pi\) | |||||||
\(692\) | −602.399 | + | 195.731i | −0.870518 | + | 0.282849i | ||||
\(693\) | 522.129 | + | 1449.57i | 0.753433 | + | 2.09173i | ||||
\(694\) | 22.8883 | + | 70.4431i | 0.0329803 | + | 0.101503i | ||||
\(695\) | 44.1061 | − | 211.627i | 0.0634621 | − | 0.304500i | ||||
\(696\) | 5.50105 | + | 0.782481i | 0.00790380 | + | 0.00112425i | ||||
\(697\) | −239.820 | + | 738.091i | −0.344075 | + | 1.05895i | ||||
\(698\) | 48.5132 | + | 66.7727i | 0.0695032 | + | 0.0956629i | ||||
\(699\) | 634.195 | − | 110.735i | 0.907288 | − | 0.158419i | ||||
\(700\) | 1007.59 | + | 439.065i | 1.43942 | + | 0.627236i | ||||
\(701\) | − | 921.489i | − | 1.31454i | −0.753657 | − | 0.657268i | \(-0.771712\pi\) | ||
0.753657 | − | 0.657268i | \(-0.228288\pi\) | |||||||
\(702\) | 9.61711 | − | 21.3127i | 0.0136996 | − | 0.0303600i | ||||
\(703\) | 238.063 | − | 732.683i | 0.338639 | − | 1.04222i | ||||
\(704\) | 848.025 | + | 275.540i | 1.20458 | + | 0.391392i | ||||
\(705\) | −396.559 | + | 114.698i | −0.562494 | + | 0.162693i | ||||
\(706\) | −0.212822 | − | 0.654998i | −0.000301447 | − | 0.000927759i | ||||
\(707\) | 947.663i | 1.34040i | ||||||||
\(708\) | 62.6534 | + | 118.310i | 0.0884935 | + | 0.167104i | ||||
\(709\) | 860.522 | + | 625.206i | 1.21371 | + | 0.881813i | 0.995563 | − | 0.0941023i | \(-0.0299981\pi\) |
0.218149 | + | 0.975915i | \(0.429998\pi\) | |||||||
\(710\) | −67.9515 | − | 38.8732i | −0.0957063 | − | 0.0547510i | ||||
\(711\) | 250.541 | − | 368.783i | 0.352379 | − | 0.518682i | ||||
\(712\) | −266.431 | − | 193.573i | −0.374200 | − | 0.271872i | ||||
\(713\) | 37.9559 | − | 52.2418i | 0.0532341 | − | 0.0732704i | ||||
\(714\) | −125.151 | − | 121.261i | −0.175282 | − | 0.169833i | ||||
\(715\) | −179.546 | − | 197.822i | −0.251113 | − | 0.276675i | ||||
\(716\) | −267.394 | + | 368.036i | −0.373455 | + | 0.514017i | ||||
\(717\) | −266.555 | − | 503.340i | −0.371764 | − | 0.702009i | ||||
\(718\) | −106.567 | −0.148422 | ||||||||
\(719\) | 699.629 | − | 227.323i | 0.973058 | − | 0.316166i | 0.221008 | − | 0.975272i | \(-0.429065\pi\) |
0.752050 | + | 0.659106i | \(0.229065\pi\) | |||||||
\(720\) | 676.452 | + | 118.837i | 0.939517 | + | 0.165051i | ||||
\(721\) | −183.796 | + | 565.667i | −0.254919 | + | 0.784559i | ||||
\(722\) | 26.2783 | + | 8.53835i | 0.0363966 | + | 0.0118260i | ||||
\(723\) | 586.906 | + | 568.663i | 0.811764 | + | 0.786533i | ||||
\(724\) | 419.312 | 0.579160 | ||||||||
\(725\) | 9.37485 | − | 21.5140i | 0.0129308 | − | 0.0296745i | ||||
\(726\) | −83.8598 | + | 14.6426i | −0.115509 | + | 0.0201688i | ||||
\(727\) | −779.304 | + | 566.198i | −1.07195 | + | 0.778814i | −0.976261 | − | 0.216598i | \(-0.930504\pi\) |
−0.0956842 | + | 0.995412i | \(0.530504\pi\) | |||||||
\(728\) | −72.9872 | − | 23.7150i | −0.100257 | − | 0.0325755i | ||||
\(729\) | 482.350 | + | 546.607i | 0.661660 | + | 0.749804i | ||||
\(730\) | 60.7271 | − | 27.3266i | 0.0831878 | − | 0.0374337i | ||||
\(731\) | 6.99779 | − | 2.27372i | 0.00957290 | − | 0.00311042i | ||||
\(732\) | −79.9765 | − | 458.036i | −0.109258 | − | 0.625732i | ||||
\(733\) | −278.484 | − | 857.085i | −0.379924 | − | 1.16928i | −0.940096 | − | 0.340909i | \(-0.889265\pi\) |
0.560173 | − | 0.828376i | \(-0.310735\pi\) | |||||||
\(734\) | 78.2574 | − | 107.712i | 0.106618 | − | 0.146747i | ||||
\(735\) | 938.944 | − | 636.471i | 1.27748 | − | 0.865947i | ||||
\(736\) | −17.3084 | + | 12.5753i | −0.0235169 | + | 0.0170860i | ||||
\(737\) | 358.858 | − | 493.925i | 0.486917 | − | 0.670184i | ||||
\(738\) | 79.6384 | + | 23.1237i | 0.107911 | + | 0.0313330i | ||||
\(739\) | 608.566 | − | 442.149i | 0.823500 | − | 0.598308i | −0.0942130 | − | 0.995552i | \(-0.530033\pi\) |
0.917713 | + | 0.397244i | \(0.130033\pi\) | |||||||
\(740\) | 142.438 | − | 683.438i | 0.192484 | − | 0.923565i | ||||
\(741\) | −99.9067 | + | 203.975i | −0.134827 | + | 0.275270i | ||||
\(742\) | −41.2505 | − | 126.956i | −0.0555937 | − | 0.171100i | ||||
\(743\) | − | 551.392i | − | 0.742116i | −0.928610 | − | 0.371058i | \(-0.878995\pi\) | ||
0.928610 | − | 0.371058i | \(-0.121005\pi\) | |||||||
\(744\) | −97.7067 | − | 184.501i | −0.131326 | − | 0.247986i | ||||
\(745\) | 406.162 | + | 447.506i | 0.545184 | + | 0.600679i | ||||
\(746\) | −149.821 | − | 48.6797i | −0.200832 | − | 0.0652543i | ||||
\(747\) | 332.706 | − | 10.5072i | 0.445390 | − | 0.0140659i | ||||
\(748\) | −1022.84 | + | 743.140i | −1.36744 | + | 0.993503i | ||||
\(749\) | 859.306i | 1.14727i | ||||||||
\(750\) | −40.0000 | + | 84.1876i | −0.0533333 | + | 0.112250i | ||||
\(751\) | 3.56399 | 0.00474566 | 0.00237283 | − | 0.999997i | \(-0.499245\pi\) | ||||
0.00237283 | + | 0.999997i | \(0.499245\pi\) | |||||||
\(752\) | 246.891 | + | 339.817i | 0.328313 | + | 0.451884i | ||||
\(753\) | −33.7491 | + | 237.265i | −0.0448196 | + | 0.315093i | ||||
\(754\) | −0.251209 | + | 0.773141i | −0.000333168 | + | 0.00102539i | ||||
\(755\) | 85.6909 | − | 77.7741i | 0.113498 | − | 0.103012i | ||||
\(756\) | 798.682 | − | 878.150i | 1.05646 | − | 1.16157i | ||||
\(757\) | −742.827 | −0.981277 | −0.490639 | − | 0.871363i | \(-0.663236\pi\) | ||||
−0.490639 | + | 0.871363i | \(0.663236\pi\) | |||||||
\(758\) | 87.1148 | − | 28.3053i | 0.114927 | − | 0.0373421i | ||||
\(759\) | −37.0489 | + | 75.6409i | −0.0488127 | + | 0.0996587i | ||||
\(760\) | 209.858 | + | 43.7374i | 0.276129 | + | 0.0575492i | ||||
\(761\) | −166.103 | − | 228.622i | −0.218270 | − | 0.300423i | 0.685815 | − | 0.727776i | \(-0.259446\pi\) |
−0.904085 | + | 0.427353i | \(0.859446\pi\) | |||||||
\(762\) | 68.7333 | + | 33.6655i | 0.0902011 | + | 0.0441804i | ||||
\(763\) | 586.188 | + | 425.891i | 0.768268 | + | 0.558179i | ||||
\(764\) | −578.017 | − | 795.572i | −0.756566 | − | 1.04132i | ||||
\(765\) | −677.246 | + | 654.835i | −0.885289 | + | 0.855993i | ||||
\(766\) | 132.569 | + | 96.3174i | 0.173067 | + | 0.125741i | ||||
\(767\) | −37.5480 | + | 12.2001i | −0.0489544 | + | 0.0159063i | ||||
\(768\) | −112.167 | − | 642.395i | −0.146051 | − | 0.836452i | ||||
\(769\) | −389.989 | − | 1200.26i | −0.507138 | − | 1.56081i | −0.797147 | − | 0.603786i | \(-0.793658\pi\) |
0.290009 | − | 0.957024i | \(-0.406342\pi\) | |||||||
\(770\) | 87.3040 | + | 194.013i | 0.113382 | + | 0.251965i | ||||
\(771\) | −105.017 | + | 738.301i | −0.136209 | + | 0.957588i | ||||
\(772\) | 112.336 | − | 345.735i | 0.145513 | − | 0.447843i | ||||
\(773\) | −146.633 | − | 201.823i | −0.189694 | − | 0.261091i | 0.703568 | − | 0.710628i | \(-0.251589\pi\) |
−0.893262 | + | 0.449537i | \(0.851589\pi\) | |||||||
\(774\) | −0.266440 | − | 0.739708i | −0.000344238 | − | 0.000955695i | ||||
\(775\) | −861.026 | + | 190.168i | −1.11100 | + | 0.245378i | ||||
\(776\) | 181.179i | 0.233478i | ||||||||
\(777\) | −852.736 | − | 826.231i | −1.09747 | − | 1.06336i | ||||
\(778\) | −40.6135 | + | 124.996i | −0.0522025 | + | 0.160663i | ||||
\(779\) | −766.113 | − | 248.925i | −0.983457 | − | 0.319545i | ||||
\(780\) | −69.9508 | + | 193.571i | −0.0896805 | + | 0.248168i | ||||
\(781\) | 298.511 | + | 918.722i | 0.382216 | + | 1.17634i | ||||
\(782\) | − | 9.52630i | − | 0.0121820i | ||||||
\(783\) | −18.7501 | − | 17.0533i | −0.0239465 | − | 0.0217795i | ||||
\(784\) | −933.753 | − | 678.411i | −1.19101 | − | 0.865321i | ||||
\(785\) | 383.865 | − | 348.401i | 0.489001 | − | 0.443823i | ||||
\(786\) | −105.436 | − | 102.159i | −0.134142 | − | 0.129973i | ||||
\(787\) | −149.815 | − | 108.847i | −0.190362 | − | 0.138306i | 0.488522 | − | 0.872552i | \(-0.337536\pi\) |
−0.678884 | + | 0.734245i | \(0.737536\pi\) | |||||||
\(788\) | 90.9561 | − | 125.190i | 0.115426 | − | 0.158871i | ||||
\(789\) | 303.154 | − | 312.879i | 0.384226 | − | 0.396551i | ||||
\(790\) | 30.5700 | − | 53.4371i | 0.0386961 | − | 0.0676419i | ||||
\(791\) | −751.526 | + | 1034.39i | −0.950097 | + | 1.30770i | ||||
\(792\) | 166.937 | + | 215.145i | 0.210779 | + | 0.271647i | ||||
\(793\) | 137.120 | 0.172913 | ||||||||
\(794\) | −102.373 | + | 33.2629i | −0.128933 | + | 0.0418928i | ||||
\(795\) | −693.230 | + | 200.506i | −0.871988 | + | 0.252209i | ||||
\(796\) | 247.068 | − | 760.396i | 0.310386 | − | 0.955271i | ||||
\(797\) | 139.284 | + | 45.2560i | 0.174760 | + | 0.0567829i | 0.395090 | − | 0.918642i | \(-0.370713\pi\) |
−0.220330 | + | 0.975425i | \(0.570713\pi\) | |||||||
\(798\) | 125.865 | − | 129.902i | 0.157725 | − | 0.162785i | ||||
\(799\) | −576.138 | −0.721074 | ||||||||
\(800\) | 290.777 | + | 28.2315i | 0.363471 | + | 0.0352894i | ||||
\(801\) | 509.071 | + | 1413.31i | 0.635545 | + | 1.76444i | ||||
\(802\) | −109.125 | + | 79.2839i | −0.136066 | + | 0.0988577i | ||||
\(803\) | −781.501 | − | 253.925i | −0.973227 | − | 0.316221i | ||||
\(804\) | −465.681 | − | 66.2394i | −0.579205 | − | 0.0823874i | ||||
\(805\) | 100.041 | + | 20.8499i | 0.124274 | + | 0.0259005i | ||||
\(806\) | 29.0499 | − | 9.43887i | 0.0360420 | − | 0.0117108i | ||||
\(807\) | 345.721 | − | 60.3655i | 0.428403 | − | 0.0748024i | ||||
\(808\) | 51.7582 | + | 159.295i | 0.0640572 | + | 0.197148i | ||||
\(809\) | −779.001 | + | 1072.20i | −0.962919 | + | 1.32534i | −0.0173747 | + | 0.999849i | \(0.505531\pi\) |
−0.945544 | + | 0.325495i | \(0.894469\pi\) | |||||||
\(810\) | 72.2219 | + | 70.1224i | 0.0891628 | + | 0.0865709i | ||||
\(811\) | 390.246 | − | 283.531i | 0.481192 | − | 0.349606i | −0.320595 | − | 0.947216i | \(-0.603883\pi\) |
0.801787 | + | 0.597610i | \(0.203883\pi\) | |||||||
\(812\) | −24.2577 | + | 33.3879i | −0.0298740 | + | 0.0411181i | ||||
\(813\) | −394.285 | + | 804.993i | −0.484975 | + | 0.990151i | ||||
\(814\) | 109.326 | − | 79.4302i | 0.134307 | − | 0.0975801i | ||||
\(815\) | −592.938 | + | 64.6992i | −0.727531 | + | 0.0793855i | ||||
\(816\) | 860.829 | + | 421.633i | 1.05494 | + | 0.516708i | ||||
\(817\) | 2.36004 | + | 7.26347i | 0.00288867 | + | 0.00889041i | ||||
\(818\) | 184.093i | 0.225053i | ||||||||
\(819\) | 214.597 | + | 276.568i | 0.262023 | + | 0.337690i | ||||
\(820\) | −714.622 | − | 148.937i | −0.871490 | − | 0.181631i | ||||
\(821\) | 587.331 | + | 190.835i | 0.715385 | + | 0.232443i | 0.644021 | − | 0.765008i | \(-0.277265\pi\) |
0.0713637 | + | 0.997450i | \(0.477265\pi\) | |||||||
\(822\) | −149.860 | − | 21.3164i | −0.182311 | − | 0.0259323i | ||||
\(823\) | −244.057 | + | 177.318i | −0.296546 | + | 0.215453i | −0.726102 | − | 0.687587i | \(-0.758670\pi\) |
0.429556 | + | 0.903040i | \(0.358670\pi\) | |||||||
\(824\) | 105.123i | 0.127576i | ||||||||
\(825\) | 1063.67 | − | 437.520i | 1.28929 | − | 0.530328i | ||||
\(826\) | 31.4408 | 0.0380640 | ||||||||
\(827\) | −718.320 | − | 988.682i | −0.868585 | − | 1.19550i | −0.979454 | − | 0.201670i | \(-0.935363\pi\) |
0.110869 | − | 0.993835i | \(-0.464637\pi\) | |||||||
\(828\) | 64.8587 | − | 2.04831i | 0.0783318 | − | 0.00247380i | ||||
\(829\) | 53.9605 | − | 166.073i | 0.0650911 | − | 0.200330i | −0.913222 | − | 0.407463i | \(-0.866413\pi\) |
0.978313 | + | 0.207133i | \(0.0664134\pi\) | |||||||
\(830\) | 45.6933 | − | 4.98588i | 0.0550521 | − | 0.00600709i | ||||
\(831\) | −145.220 | + | 76.9045i | −0.174754 | + | 0.0925446i | ||||
\(832\) | 202.590 | 0.243497 | ||||||||
\(833\) | 1505.64 | − | 489.211i | 1.80749 | − | 0.587288i | ||||
\(834\) | −28.9521 | − | 14.1807i | −0.0347147 | − | 0.0170032i | ||||
\(835\) | −681.708 | + | 1191.64i | −0.816416 | + | 1.42712i | ||||
\(836\) | −771.354 | − | 1061.68i | −0.922672 | − | 1.26995i | ||||
\(837\) | −104.282 | + | 946.592i | −0.124591 | + | 1.13093i | ||||
\(838\) | −149.522 | − | 108.634i | −0.178427 | − | 0.129635i | ||||
\(839\) | 575.264 | + | 791.782i | 0.685654 | + | 0.943722i | 0.999984 | − | 0.00559200i | \(-0.00178000\pi\) |
−0.314330 | + | 0.949314i | \(0.601780\pi\) | |||||||
\(840\) | 202.811 | − | 260.819i | 0.241441 | − | 0.310499i | ||||
\(841\) | −679.670 | − | 493.809i | −0.808169 | − | 0.587169i | ||||
\(842\) | 6.82030 | − | 2.21605i | 0.00810012 | − | 0.00263189i | ||||
\(843\) | −939.738 | + | 164.085i | −1.11475 | + | 0.194645i | ||||
\(844\) | −20.6380 | − | 63.5172i | −0.0244526 | − | 0.0752574i | ||||
\(845\) | 680.776 | + | 389.454i | 0.805652 | + | 0.460892i | ||||
\(846\) | 1.94327 | + | 61.5326i | 0.00229701 | + | 0.0727336i | ||||
\(847\) | 393.837 | − | 1212.11i | 0.464979 | − | 1.43106i | ||||
\(848\) | 431.594 | + | 594.039i | 0.508956 | + | 0.700517i | ||||
\(849\) | −209.847 | − | 1201.82i | −0.247170 | − | 1.41557i | ||||
\(850\) | −86.2732 | + | 97.3583i | −0.101498 | + | 0.114539i | ||||
\(851\) | − | 64.9089i | − | 0.0762737i | ||||||
\(852\) | 517.884 | − | 534.497i | 0.607845 | − | 0.627344i | ||||
\(853\) | 373.540 | − | 1149.64i | 0.437914 | − | 1.34776i | −0.452157 | − | 0.891938i | \(-0.649345\pi\) |
0.890071 | − | 0.455822i | \(-0.150655\pi\) | |||||||
\(854\) | −103.853 | − | 33.7440i | −0.121608 | − | 0.0395129i | ||||
\(855\) | −679.696 | − | 702.958i | −0.794966 | − | 0.822173i | ||||
\(856\) | 46.9324 | + | 144.443i | 0.0548276 | + | 0.168742i | ||||
\(857\) | 431.301i | 0.503268i | 0.967822 | + | 0.251634i | \(0.0809680\pi\) | ||||
−0.967822 | + | 0.251634i | \(0.919032\pi\) | |||||||
\(858\) | −35.2085 | + | 18.6454i | −0.0410355 | + | 0.0217312i | ||||
\(859\) | −177.730 | − | 129.128i | −0.206903 | − | 0.150324i | 0.479508 | − | 0.877537i | \(-0.340815\pi\) |
−0.686412 | + | 0.727213i | \(0.740815\pi\) | |||||||
\(860\) | 2.84002 | + | 6.31131i | 0.00330235 | + | 0.00733873i | ||||
\(861\) | −863.929 | + | 891.644i | −1.00340 | + | 1.03559i | ||||
\(862\) | 159.808 | + | 116.108i | 0.185393 | + | 0.134696i | ||||
\(863\) | −420.114 | + | 578.238i | −0.486807 | + | 0.670032i | −0.979795 | − | 0.200004i | \(-0.935905\pi\) |
0.492988 | + | 0.870036i | \(0.335905\pi\) | |||||||
\(864\) | 129.773 | − | 287.592i | 0.150200 | − | 0.332861i | ||||
\(865\) | 787.253 | + | 164.075i | 0.910119 | + | 0.189682i | ||||
\(866\) | 6.66292 | − | 9.17072i | 0.00769390 | − | 0.0105897i | ||||
\(867\) | −395.709 | + | 209.556i | −0.456412 | + | 0.241703i | ||||
\(868\) | 1550.66 | 1.78647 | ||||||||
\(869\) | −722.484 | + | 234.749i | −0.831397 | + | 0.270137i | ||||
\(870\) | −2.76282 | − | 2.14834i | −0.00317565 | − | 0.00246936i | ||||
\(871\) | 42.8648 | − | 131.924i | 0.0492133 | − | 0.151463i | ||||
\(872\) | 121.795 | + | 39.5735i | 0.139673 | + | 0.0453825i | ||||
\(873\) | 464.421 | − | 683.603i | 0.531983 | − | 0.783050i | ||||
\(874\) | 9.88797 | 0.0113135 | ||||||||
\(875\) | −833.588 | − | 1119.09i | −0.952672 | − | 1.27896i | ||||
\(876\) | 108.893 | + | 623.643i | 0.124307 | + | 0.711921i | ||||
\(877\) | 835.864 | − | 607.290i | 0.953094 | − | 0.692463i | 0.00155752 | − | 0.999999i | \(-0.499504\pi\) |
0.951537 | + | 0.307535i | \(0.0995042\pi\) | |||||||
\(878\) | 98.8139 | + | 32.1066i | 0.112544 | + | 0.0365679i | ||||
\(879\) | −7.61371 | + | 53.5264i | −0.00866179 | + | 0.0608947i | ||||
\(880\) | −786.500 | − | 866.560i | −0.893750 | − | 0.984727i | ||||
\(881\) | −1492.03 | + | 484.789i | −1.69356 | + | 0.550271i | −0.987464 | − | 0.157846i | \(-0.949545\pi\) |
−0.706095 | + | 0.708117i | \(0.749545\pi\) | |||||||
\(882\) | −57.3271 | − | 159.155i | −0.0649967 | − | 0.180448i | ||||
\(883\) | −23.5866 | − | 72.5920i | −0.0267119 | − | 0.0822106i | 0.936812 | − | 0.349834i | \(-0.113762\pi\) |
−0.963524 | + | 0.267623i | \(0.913762\pi\) | |||||||
\(884\) | −168.844 | + | 232.394i | −0.191000 | + | 0.262889i | ||||
\(885\) | 5.54137 | − | 169.879i | 0.00626143 | − | 0.191954i | ||||
\(886\) | 77.0094 | − | 55.9506i | 0.0869180 | − | 0.0631496i | ||||
\(887\) | 14.4250 | − | 19.8543i | 0.0162627 | − | 0.0223837i | −0.800808 | − | 0.598921i | \(-0.795596\pi\) |
0.817071 | + | 0.576537i | \(0.195596\pi\) | |||||||
\(888\) | −188.465 | − | 92.3099i | −0.212235 | − | 0.103953i | ||||
\(889\) | −926.995 | + | 673.501i | −1.04274 | + | 0.757594i | ||||
\(890\) | 85.1207 | + | 189.161i | 0.0956413 | + | 0.212541i | ||||
\(891\) | −78.3784 | − | 1239.67i | −0.0879668 | − | 1.39132i | ||||
\(892\) | 413.378 | + | 1272.25i | 0.463428 | + | 1.42629i | ||||
\(893\) | − | 598.012i | − | 0.669666i | ||||||
\(894\) | 79.6473 | − | 42.1789i | 0.0890909 | − | 0.0471800i | ||||
\(895\) | 526.698 | − | 237.009i | 0.588489 | − | 0.264814i | ||||
\(896\) | −649.713 | − | 211.105i | −0.725126 | − | 0.235608i | ||||
\(897\) | −2.69491 | + | 18.9459i | −0.00300436 | + | 0.0211214i | ||||
\(898\) | −99.5836 | + | 72.3517i | −0.110895 | + | 0.0805698i | ||||
\(899\) | − | 33.1094i | − | 0.0368292i | ||||||
\(900\) | −681.403 | − | 566.447i | −0.757115 | − | 0.629386i | ||||
\(901\) | −1007.16 | −1.11782 | ||||||||
\(902\) | −83.0543 | − | 114.314i | −0.0920780 | − | 0.126734i | ||||
\(903\) | 11.6536 | + | 1.65763i | 0.0129054 | + | 0.00183569i | ||||
\(904\) | −69.8314 | + | 214.919i | −0.0772471 | + | 0.237742i | ||||
\(905\) | −462.091 | − | 264.350i | −0.510598 | − | 0.292100i | ||||
\(906\) | −8.07665 | − | 15.2513i | −0.00891463 | − | 0.0168337i | ||||
\(907\) | 796.609 | 0.878290 | 0.439145 | − | 0.898416i | \(-0.355281\pi\) | ||||
0.439145 | + | 0.898416i | \(0.355281\pi\) | |||||||
\(908\) | 289.674 | − | 94.1209i | 0.319025 | − | 0.103657i | ||||
\(909\) | 213.038 | − | 733.706i | 0.234366 | − | 0.807158i | ||||
\(910\) | 32.4865 | + | 35.7934i | 0.0356995 | + | 0.0393334i | ||||
\(911\) | −12.6986 | − | 17.4781i | −0.0139392 | − | 0.0191856i | 0.801991 | − | 0.597337i | \(-0.203774\pi\) |
−0.815930 | + | 0.578151i | \(0.803774\pi\) | |||||||
\(912\) | −437.641 | + | 893.511i | −0.479870 | + | 0.979727i | ||||
\(913\) | −458.860 | − | 333.381i | −0.502585 | − | 0.365149i | ||||
\(914\) | −60.3131 | − | 83.0139i | −0.0659881 | − | 0.0908248i | ||||
\(915\) | −200.627 | + | 555.186i | −0.219265 | + | 0.606760i | ||||
\(916\) | 797.647 | + | 579.524i | 0.870793 | + | 0.632669i | ||||
\(917\) | 2090.36 | − | 679.199i | 2.27956 | − | 0.740675i | ||||
\(918\) | 69.6354 | + | 122.018i | 0.0758555 | + | 0.132917i | ||||
\(919\) | 355.874 | + | 1095.27i | 0.387240 | + | 1.19180i | 0.934842 | + | 0.355064i | \(0.115541\pi\) |
−0.547602 | + | 0.836739i | \(0.684459\pi\) | |||||||
\(920\) | 17.9549 | − | 1.95917i | 0.0195162 | − | 0.00212953i | ||||
\(921\) | 1608.63 | + | 228.815i | 1.74661 | + | 0.248442i | ||||
\(922\) | 8.31328 | − | 25.5856i | 0.00901657 | − | 0.0277502i | ||||
\(923\) | 129.006 | + | 177.562i | 0.139769 | + | 0.192375i | ||||
\(924\) | −1992.44 | + | 347.895i | −2.15632 | + | 0.376510i | ||||
\(925\) | −587.836 | + | 663.366i | −0.635498 | + | 0.717153i | ||||
\(926\) | 114.397i | 0.123539i | ||||||||
\(927\) | 269.464 | − | 396.637i | 0.290684 | − | 0.427871i | ||||
\(928\) | −3.38979 | + | 10.4327i | −0.00365279 | + | 0.0112421i | ||||
\(929\) | 484.091 | + | 157.291i | 0.521088 | + | 0.169312i | 0.557739 | − | 0.830016i | \(-0.311669\pi\) |
−0.0366509 | + | 0.999328i | \(0.511669\pi\) | |||||||
\(930\) | −4.28720 | + | 131.431i | −0.00460989 | + | 0.141323i | ||||
\(931\) | 507.784 | + | 1562.80i | 0.545418 | + | 1.67862i | ||||
\(932\) | 845.129i | 0.906791i | ||||||||
\(933\) | −348.314 | − | 657.727i | −0.373326 | − | 0.704959i | ||||
\(934\) | −87.1230 | − | 63.2986i | −0.0932795 | − | 0.0677715i | ||||
\(935\) | 1595.70 | − | 174.117i | 1.70663 | − | 0.186222i | ||||
\(936\) | 51.1774 | + | 34.7686i | 0.0546767 | + | 0.0371459i | ||||
\(937\) | 1380.66 | + | 1003.11i | 1.47349 | + | 1.07055i | 0.979583 | + | 0.201041i | \(0.0644323\pi\) |
0.493909 | + | 0.869514i | \(0.335568\pi\) | |||||||
\(938\) | −64.9307 | + | 89.3695i | −0.0692225 | + | 0.0952766i | ||||
\(939\) | 330.986 | + | 320.698i | 0.352488 | + | 0.341532i | ||||
\(940\) | −58.7830 | − | 538.719i | −0.0625351 | − | 0.573105i | ||||
\(941\) | 249.468 | − | 343.363i | 0.265109 | − | 0.364892i | −0.655622 | − | 0.755090i | \(-0.727593\pi\) |
0.920731 | + | 0.390198i | \(0.127593\pi\) | |||||||
\(942\) | −36.1806 | − | 68.3205i | −0.0384083 | − | 0.0725270i | ||||
\(943\) | −67.8705 | −0.0719730 | ||||||||
\(944\) | −164.479 | + | 53.4425i | −0.174236 | + | 0.0566128i | ||||
\(945\) | −1433.78 | + | 464.221i | −1.51723 | + | 0.491239i | ||||
\(946\) | −0.413978 | + | 1.27409i | −0.000437609 | + | 0.00134682i | ||||
\(947\) | −311.919 | − | 101.349i | −0.329376 | − | 0.107021i | 0.139661 | − | 0.990199i | \(-0.455399\pi\) |
−0.469037 | + | 0.883179i | \(0.655399\pi\) | |||||||
\(948\) | 420.329 | + | 407.264i | 0.443385 | + | 0.429604i | ||||
\(949\) | −186.697 | −0.196731 | ||||||||
\(950\) | −101.055 | − | 89.5486i | −0.106373 | − | 0.0942617i | ||||
\(951\) | 1163.70 | − | 203.191i | 1.22366 | − | 0.213660i | ||||
\(952\) | 373.044 | − | 271.033i | 0.391853 | − | 0.284698i | ||||
\(953\) | 344.909 | + | 112.068i | 0.361919 | + | 0.117595i | 0.484331 | − | 0.874885i | \(-0.339063\pi\) |
−0.122412 | + | 0.992479i | \(0.539063\pi\) | |||||||
\(954\) | 3.39706 | + | 107.566i | 0.00356086 | + | 0.112753i | ||||
\(955\) | 135.429 | + | 1241.14i | 0.141810 | + | 1.29962i | ||||
\(956\) | 711.095 | − | 231.049i | 0.743823 | − | 0.241683i | ||||
\(957\) | 7.42820 | + | 42.5422i | 0.00776196 | + | 0.0444537i | ||||
\(958\) | −40.4531 | − | 124.502i | −0.0422266 | − | 0.129960i | ||||
\(959\) | 1332.03 | − | 1833.38i | 1.38897 | − | 1.91176i | ||||
\(960\) | −296.419 | + | 820.265i | −0.308770 | + | 0.854443i | ||||
\(961\) | −228.990 | + | 166.371i | −0.238283 | + | 0.173123i | ||||
\(962\) | 18.0468 | − | 24.8393i | 0.0187597 | − | 0.0258205i | ||||
\(963\) | 193.175 | − | 665.298i | 0.200597 | − | 0.690859i | ||||
\(964\) | −867.903 | + | 630.569i | −0.900315 | + | 0.654117i | ||||
\(965\) | −341.761 | + | 310.187i | −0.354157 | + | 0.321437i | ||||
\(966\) | 6.70352 | − | 13.6863i | 0.00693946 | − | 0.0141680i | ||||
\(967\) | −354.097 | − | 1089.80i | −0.366181 | − | 1.12699i | −0.949238 | − | 0.314559i | \(-0.898143\pi\) |
0.583056 | − | 0.812432i | \(-0.301857\pi\) | |||||||
\(968\) | − | 225.256i | − | 0.232703i | ||||||
\(969\) | −638.672 | − | 1206.02i | −0.659104 | − | 1.24460i | ||||
\(970\) | 56.6667 | − | 99.0548i | 0.0584192 | − | 0.102118i | ||||
\(971\) | −428.755 | − | 139.311i | −0.441560 | − | 0.143471i | 0.0797953 | − | 0.996811i | \(-0.474573\pi\) |
−0.521355 | + | 0.853340i | \(0.674573\pi\) | |||||||
\(972\) | −815.773 | + | 500.340i | −0.839273 | + | 0.514753i | ||||
\(973\) | 390.472 | − | 283.695i | 0.401308 | − | 0.291567i | ||||
\(974\) | − | 128.784i | − | 0.132222i | ||||||
\(975\) | 199.122 | − | 169.220i | 0.204228 | − | 0.173559i | ||||
\(976\) | 600.654 | 0.615424 | ||||||||
\(977\) | 816.852 | + | 1124.30i | 0.836082 | + | 1.15077i | 0.986760 | + | 0.162185i | \(0.0518541\pi\) |
−0.150679 | + | 0.988583i | \(0.548146\pi\) | |||||||
\(978\) | −12.5264 | + | 88.0640i | −0.0128082 | + | 0.0900450i | ||||
\(979\) | 790.962 | − | 2434.33i | 0.807928 | − | 2.48655i | ||||
\(980\) | 611.057 | + | 1357.93i | 0.623527 | + | 1.38565i | ||||
\(981\) | −358.101 | − | 461.513i | −0.365037 | − | 0.470452i | ||||
\(982\) | −236.504 | −0.240839 | ||||||||
\(983\) | −1554.49 | + | 505.086i | −1.58138 | + | 0.513821i | −0.962411 | − | 0.271597i | \(-0.912448\pi\) |
−0.618966 | + | 0.785418i | \(0.712448\pi\) | |||||||
\(984\) | −96.5217 | + | 197.064i | −0.0980911 | + | 0.200268i | ||||
\(985\) | −179.160 | + | 80.6204i | −0.181889 | + | 0.0818481i | ||||
\(986\) | −2.87100 | − | 3.95160i | −0.00291177 | − | 0.00400771i | ||||
\(987\) | −827.727 | − | 405.420i | −0.838629 | − | 0.410760i | ||||
\(988\) | −241.217 | − | 175.254i | −0.244146 | − | 0.177383i | ||||
\(989\) | 0.378226 | + | 0.520583i | 0.000382432 | + | 0.000526373i | ||||
\(990\) | −23.9782 | − | 169.837i | −0.0242204 | − | 0.171552i | ||||
\(991\) | 1136.80 | + | 825.936i | 1.14713 | + | 0.833437i | 0.988096 | − | 0.153836i | \(-0.0491628\pi\) |
0.159032 | + | 0.987273i | \(0.449163\pi\) | |||||||
\(992\) | 391.996 | − | 127.367i | 0.395158 | − | 0.128394i | ||||
\(993\) | −118.616 | − | 679.331i | −0.119453 | − | 0.684120i | ||||
\(994\) | −54.0117 | − | 166.231i | −0.0543378 | − | 0.167234i | ||||
\(995\) | −751.657 | + | 682.213i | −0.755434 | + | 0.685641i | ||||
\(996\) | −61.5368 | + | 432.620i | −0.0617840 | + | 0.434358i | ||||
\(997\) | −309.456 | + | 952.408i | −0.310387 | + | 0.955274i | 0.667224 | + | 0.744857i | \(0.267482\pi\) |
−0.977612 | + | 0.210417i | \(0.932518\pi\) | |||||||
\(998\) | 7.29276 | + | 10.0376i | 0.00730738 | + | 0.0100577i | ||||
\(999\) | 474.471 | + | 831.389i | 0.474946 | + | 0.832221i |
(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 | 75.3.j.a.11.8 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.j.a.11.11 | yes | 72 | |
5.2 | odd | 4 | 375.3.h.b.74.22 | 144 | |||
5.3 | odd | 4 | 375.3.h.b.74.15 | 144 | |||
5.4 | even | 2 | 375.3.j.a.176.11 | 72 | |||
15.2 | even | 4 | 375.3.h.b.74.16 | 144 | |||
15.8 | even | 4 | 375.3.h.b.74.21 | 144 | |||
15.14 | odd | 2 | 375.3.j.a.176.8 | 72 | |||
25.9 | even | 10 | 375.3.j.a.326.8 | 72 | |||
25.12 | odd | 20 | 375.3.h.b.299.21 | 144 | |||
25.13 | odd | 20 | 375.3.h.b.299.16 | 144 | |||
25.16 | even | 5 | inner | 75.3.j.a.41.11 | yes | 72 | |
75.38 | even | 20 | 375.3.h.b.299.22 | 144 | |||
75.41 | odd | 10 | inner | 75.3.j.a.41.8 | yes | 72 | |
75.59 | odd | 10 | 375.3.j.a.326.11 | 72 | |||
75.62 | even | 20 | 375.3.h.b.299.15 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.j.a.11.8 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.j.a.11.11 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.j.a.41.8 | yes | 72 | 75.41 | odd | 10 | inner | |
75.3.j.a.41.11 | yes | 72 | 25.16 | even | 5 | inner | |
375.3.h.b.74.15 | 144 | 5.3 | odd | 4 | |||
375.3.h.b.74.16 | 144 | 15.2 | even | 4 | |||
375.3.h.b.74.21 | 144 | 15.8 | even | 4 | |||
375.3.h.b.74.22 | 144 | 5.2 | odd | 4 | |||
375.3.h.b.299.15 | 144 | 75.62 | even | 20 | |||
375.3.h.b.299.16 | 144 | 25.13 | odd | 20 | |||
375.3.h.b.299.21 | 144 | 25.12 | odd | 20 | |||
375.3.h.b.299.22 | 144 | 75.38 | even | 20 | |||
375.3.j.a.176.8 | 72 | 15.14 | odd | 2 | |||
375.3.j.a.176.11 | 72 | 5.4 | even | 2 | |||
375.3.j.a.326.8 | 72 | 25.9 | even | 10 | |||
375.3.j.a.326.11 | 72 | 75.59 | odd | 10 |