Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(9,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.r (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 214.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 287.214 |
Dual form | 287.2.r.b.114.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | −0.161521 | − | 0.986869i | \(-0.551640\pi\) |
0.773893 | + | 0.633316i | \(0.218307\pi\) | |||||||
\(3\) | 1.86603 | − | 0.500000i | 1.07735 | − | 0.288675i | 0.323840 | − | 0.946112i | \(-0.395026\pi\) |
0.753510 | + | 0.657437i | \(0.228359\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.50000 | − | 0.866025i | 0.670820 | − | 0.387298i | −0.125567 | − | 0.992085i | \(-0.540075\pi\) |
0.796387 | + | 0.604787i | \(0.206742\pi\) | |||||||
\(6\) | 1.36603 | − | 1.36603i | 0.557678 | − | 0.557678i | ||||
\(7\) | −0.866025 | + | 2.50000i | −0.327327 | + | 0.944911i | ||||
\(8\) | 3.00000i | 1.06066i | ||||||||
\(9\) | 0.633975 | − | 0.366025i | 0.211325 | − | 0.122008i | ||||
\(10\) | 0.866025 | − | 1.50000i | 0.273861 | − | 0.474342i | ||||
\(11\) | 4.23205 | − | 1.13397i | 1.27601 | − | 0.341906i | 0.443680 | − | 0.896185i | \(-0.353673\pi\) |
0.832331 | + | 0.554279i | \(0.187006\pi\) | |||||||
\(12\) | −0.500000 | + | 1.86603i | −0.144338 | + | 0.538675i | ||||
\(13\) | −1.73205 | − | 1.73205i | −0.480384 | − | 0.480384i | 0.424870 | − | 0.905254i | \(-0.360320\pi\) |
−0.905254 | + | 0.424870i | \(0.860320\pi\) | |||||||
\(14\) | 0.500000 | + | 2.59808i | 0.133631 | + | 0.694365i | ||||
\(15\) | 2.36603 | − | 2.36603i | 0.610905 | − | 0.610905i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.73205 | − | 6.46410i | −0.420084 | − | 1.56777i | −0.774429 | − | 0.632660i | \(-0.781963\pi\) |
0.354345 | − | 0.935115i | \(-0.384704\pi\) | |||||||
\(18\) | 0.366025 | − | 0.633975i | 0.0862730 | − | 0.149429i | ||||
\(19\) | −5.23205 | − | 1.40192i | −1.20031 | − | 0.321623i | −0.397360 | − | 0.917663i | \(-0.630073\pi\) |
−0.802955 | + | 0.596040i | \(0.796740\pi\) | |||||||
\(20\) | 1.73205i | 0.387298i | ||||||||
\(21\) | −0.366025 | + | 5.09808i | −0.0798733 | + | 1.11249i | ||||
\(22\) | 3.09808 | − | 3.09808i | 0.660512 | − | 0.660512i | ||||
\(23\) | −3.73205 | − | 6.46410i | −0.778186 | − | 1.34786i | −0.932986 | − | 0.359912i | \(-0.882807\pi\) |
0.154800 | − | 0.987946i | \(-0.450527\pi\) | |||||||
\(24\) | 1.50000 | + | 5.59808i | 0.306186 | + | 1.14270i | ||||
\(25\) | −1.00000 | + | 1.73205i | −0.200000 | + | 0.346410i | ||||
\(26\) | −2.36603 | − | 0.633975i | −0.464016 | − | 0.124333i | ||||
\(27\) | −3.09808 | + | 3.09808i | −0.596225 | + | 0.596225i | ||||
\(28\) | −1.73205 | − | 2.00000i | −0.327327 | − | 0.377964i | ||||
\(29\) | 6.73205 | + | 6.73205i | 1.25011 | + | 1.25011i | 0.955670 | + | 0.294441i | \(0.0951333\pi\) |
0.294441 | + | 0.955670i | \(0.404867\pi\) | |||||||
\(30\) | 0.866025 | − | 3.23205i | 0.158114 | − | 0.590089i | ||||
\(31\) | −0.366025 | + | 0.633975i | −0.0657401 | + | 0.113865i | −0.897022 | − | 0.441986i | \(-0.854274\pi\) |
0.831282 | + | 0.555851i | \(0.187607\pi\) | |||||||
\(32\) | −4.33013 | − | 2.50000i | −0.765466 | − | 0.441942i | ||||
\(33\) | 7.33013 | − | 4.23205i | 1.27601 | − | 0.736705i | ||||
\(34\) | −4.73205 | − | 4.73205i | −0.811540 | − | 0.811540i | ||||
\(35\) | 0.866025 | + | 4.50000i | 0.146385 | + | 0.760639i | ||||
\(36\) | 0.732051i | 0.122008i | ||||||||
\(37\) | −0.267949 | − | 0.464102i | −0.0440506 | − | 0.0762978i | 0.843159 | − | 0.537664i | \(-0.180693\pi\) |
−0.887210 | + | 0.461366i | \(0.847360\pi\) | |||||||
\(38\) | −5.23205 | + | 1.40192i | −0.848751 | + | 0.227422i | ||||
\(39\) | −4.09808 | − | 2.36603i | −0.656217 | − | 0.378867i | ||||
\(40\) | 2.59808 | + | 4.50000i | 0.410792 | + | 0.711512i | ||||
\(41\) | 4.00000 | − | 5.00000i | 0.624695 | − | 0.780869i | ||||
\(42\) | 2.23205 | + | 4.59808i | 0.344413 | + | 0.709499i | ||||
\(43\) | 5.46410i | 0.833268i | 0.909074 | + | 0.416634i | \(0.136790\pi\) | ||||
−0.909074 | + | 0.416634i | \(0.863210\pi\) | |||||||
\(44\) | −1.13397 | + | 4.23205i | −0.170953 | + | 0.638006i | ||||
\(45\) | 0.633975 | − | 1.09808i | 0.0945074 | − | 0.163692i | ||||
\(46\) | −6.46410 | − | 3.73205i | −0.953080 | − | 0.550261i | ||||
\(47\) | 6.09808 | + | 1.63397i | 0.889496 | + | 0.238340i | 0.674500 | − | 0.738275i | \(-0.264359\pi\) |
0.214996 | + | 0.976615i | \(0.431026\pi\) | |||||||
\(48\) | 1.36603 | + | 1.36603i | 0.197169 | + | 0.197169i | ||||
\(49\) | −5.50000 | − | 4.33013i | −0.785714 | − | 0.618590i | ||||
\(50\) | 2.00000i | 0.282843i | ||||||||
\(51\) | −6.46410 | − | 11.1962i | −0.905155 | − | 1.56777i | ||||
\(52\) | 2.36603 | − | 0.633975i | 0.328109 | − | 0.0879165i | ||||
\(53\) | −1.36603 | + | 0.366025i | −0.187638 | + | 0.0502775i | −0.351414 | − | 0.936220i | \(-0.614299\pi\) |
0.163776 | + | 0.986498i | \(0.447632\pi\) | |||||||
\(54\) | −1.13397 | + | 4.23205i | −0.154314 | + | 0.575909i | ||||
\(55\) | 5.36603 | − | 5.36603i | 0.723555 | − | 0.723555i | ||||
\(56\) | −7.50000 | − | 2.59808i | −1.00223 | − | 0.347183i | ||||
\(57\) | −10.4641 | −1.38600 | ||||||||
\(58\) | 9.19615 | + | 2.46410i | 1.20751 | + | 0.323552i | ||||
\(59\) | −5.36603 | + | 9.29423i | −0.698597 | + | 1.21001i | 0.270356 | + | 0.962760i | \(0.412859\pi\) |
−0.968953 | + | 0.247245i | \(0.920475\pi\) | |||||||
\(60\) | 0.866025 | + | 3.23205i | 0.111803 | + | 0.417256i | ||||
\(61\) | 6.06218 | − | 3.50000i | 0.776182 | − | 0.448129i | −0.0588933 | − | 0.998264i | \(-0.518757\pi\) |
0.835076 | + | 0.550135i | \(0.185424\pi\) | |||||||
\(62\) | 0.732051i | 0.0929705i | ||||||||
\(63\) | 0.366025 | + | 1.90192i | 0.0461149 | + | 0.239620i | ||||
\(64\) | −7.00000 | −0.875000 | ||||||||
\(65\) | −4.09808 | − | 1.09808i | −0.508304 | − | 0.136200i | ||||
\(66\) | 4.23205 | − | 7.33013i | 0.520929 | − | 0.902276i | ||||
\(67\) | −0.633975 | − | 2.36603i | −0.0774523 | − | 0.289056i | 0.916326 | − | 0.400433i | \(-0.131140\pi\) |
−0.993778 | + | 0.111377i | \(0.964474\pi\) | |||||||
\(68\) | 6.46410 | + | 1.73205i | 0.783887 | + | 0.210042i | ||||
\(69\) | −10.1962 | − | 10.1962i | −1.22747 | − | 1.22747i | ||||
\(70\) | 3.00000 | + | 3.46410i | 0.358569 | + | 0.414039i | ||||
\(71\) | 6.63397 | + | 6.63397i | 0.787308 | + | 0.787308i | 0.981052 | − | 0.193744i | \(-0.0620632\pi\) |
−0.193744 | + | 0.981052i | \(0.562063\pi\) | |||||||
\(72\) | 1.09808 | + | 1.90192i | 0.129410 | + | 0.224144i | ||||
\(73\) | 3.92820 | + | 2.26795i | 0.459761 | + | 0.265443i | 0.711944 | − | 0.702236i | \(-0.247815\pi\) |
−0.252183 | + | 0.967680i | \(0.581148\pi\) | |||||||
\(74\) | −0.464102 | − | 0.267949i | −0.0539507 | − | 0.0311485i | ||||
\(75\) | −1.00000 | + | 3.73205i | −0.115470 | + | 0.430940i | ||||
\(76\) | 3.83013 | − | 3.83013i | 0.439346 | − | 0.439346i | ||||
\(77\) | −0.830127 | + | 11.5622i | −0.0946018 | + | 1.31763i | ||||
\(78\) | −4.73205 | −0.535799 | ||||||||
\(79\) | −2.76795 | + | 10.3301i | −0.311419 | + | 1.16223i | 0.615859 | + | 0.787856i | \(0.288809\pi\) |
−0.927278 | + | 0.374374i | \(0.877858\pi\) | |||||||
\(80\) | 1.50000 | + | 0.866025i | 0.167705 | + | 0.0968246i | ||||
\(81\) | −5.33013 | + | 9.23205i | −0.592236 | + | 1.02578i | ||||
\(82\) | 0.964102 | − | 6.33013i | 0.106467 | − | 0.699046i | ||||
\(83\) | 0.732051 | 0.0803530 | 0.0401765 | − | 0.999193i | \(-0.487208\pi\) | ||||
0.0401765 | + | 0.999193i | \(0.487208\pi\) | |||||||
\(84\) | −4.23205 | − | 2.86603i | −0.461755 | − | 0.312709i | ||||
\(85\) | −8.19615 | − | 8.19615i | −0.888998 | − | 0.888998i | ||||
\(86\) | 2.73205 | + | 4.73205i | 0.294605 | + | 0.510270i | ||||
\(87\) | 15.9282 | + | 9.19615i | 1.70768 | + | 0.985931i | ||||
\(88\) | 3.40192 | + | 12.6962i | 0.362646 | + | 1.35341i | ||||
\(89\) | 1.83013 | − | 6.83013i | 0.193993 | − | 0.723992i | −0.798532 | − | 0.601952i | \(-0.794390\pi\) |
0.992525 | − | 0.122040i | \(-0.0389436\pi\) | |||||||
\(90\) | − | 1.26795i | − | 0.133654i | ||||||
\(91\) | 5.83013 | − | 2.83013i | 0.611163 | − | 0.296678i | ||||
\(92\) | 7.46410 | 0.778186 | ||||||||
\(93\) | −0.366025 | + | 1.36603i | −0.0379551 | + | 0.141650i | ||||
\(94\) | 6.09808 | − | 1.63397i | 0.628969 | − | 0.168532i | ||||
\(95\) | −9.06218 | + | 2.42820i | −0.929760 | + | 0.249128i | ||||
\(96\) | −9.33013 | − | 2.50000i | −0.952252 | − | 0.255155i | ||||
\(97\) | −5.46410 | + | 5.46410i | −0.554795 | + | 0.554795i | −0.927821 | − | 0.373026i | \(-0.878320\pi\) |
0.373026 | + | 0.927821i | \(0.378320\pi\) | |||||||
\(98\) | −6.92820 | − | 1.00000i | −0.699854 | − | 0.101015i | ||||
\(99\) | 2.26795 | − | 2.26795i | 0.227937 | − | 0.227937i | ||||
\(100\) | −1.00000 | − | 1.73205i | −0.100000 | − | 0.173205i | ||||
\(101\) | −2.26795 | − | 8.46410i | −0.225669 | − | 0.842210i | −0.982135 | − | 0.188176i | \(-0.939742\pi\) |
0.756466 | − | 0.654033i | \(-0.226924\pi\) | |||||||
\(102\) | −11.1962 | − | 6.46410i | −1.10858 | − | 0.640041i | ||||
\(103\) | 7.56218 | − | 4.36603i | 0.745124 | − | 0.430197i | −0.0788057 | − | 0.996890i | \(-0.525111\pi\) |
0.823929 | + | 0.566693i | \(0.191777\pi\) | |||||||
\(104\) | 5.19615 | − | 5.19615i | 0.509525 | − | 0.509525i | ||||
\(105\) | 3.86603 | + | 7.96410i | 0.377285 | + | 0.777217i | ||||
\(106\) | −1.00000 | + | 1.00000i | −0.0971286 | + | 0.0971286i | ||||
\(107\) | −10.0263 | − | 17.3660i | −0.969277 | − | 1.67884i | −0.697656 | − | 0.716433i | \(-0.745774\pi\) |
−0.271621 | − | 0.962404i | \(-0.587560\pi\) | |||||||
\(108\) | −1.13397 | − | 4.23205i | −0.109117 | − | 0.407229i | ||||
\(109\) | −2.53590 | − | 9.46410i | −0.242895 | − | 0.906497i | −0.974430 | − | 0.224692i | \(-0.927862\pi\) |
0.731535 | − | 0.681804i | \(-0.238804\pi\) | |||||||
\(110\) | 1.96410 | − | 7.33013i | 0.187270 | − | 0.698900i | ||||
\(111\) | −0.732051 | − | 0.732051i | −0.0694832 | − | 0.0694832i | ||||
\(112\) | −2.59808 | + | 0.500000i | −0.245495 | + | 0.0472456i | ||||
\(113\) | −19.5885 | −1.84273 | −0.921364 | − | 0.388702i | \(-0.872924\pi\) | ||||
−0.921364 | + | 0.388702i | \(0.872924\pi\) | |||||||
\(114\) | −9.06218 | + | 5.23205i | −0.848751 | + | 0.490026i | ||||
\(115\) | −11.1962 | − | 6.46410i | −1.04405 | − | 0.602781i | ||||
\(116\) | −9.19615 | + | 2.46410i | −0.853841 | + | 0.228786i | ||||
\(117\) | −1.73205 | − | 0.464102i | −0.160128 | − | 0.0429062i | ||||
\(118\) | 10.7321i | 0.987965i | ||||||||
\(119\) | 17.6603 | + | 1.26795i | 1.61891 | + | 0.116233i | ||||
\(120\) | 7.09808 | + | 7.09808i | 0.647963 | + | 0.647963i | ||||
\(121\) | 7.09808 | − | 4.09808i | 0.645280 | − | 0.372552i | ||||
\(122\) | 3.50000 | − | 6.06218i | 0.316875 | − | 0.548844i | ||||
\(123\) | 4.96410 | − | 11.3301i | 0.447598 | − | 1.02160i | ||||
\(124\) | −0.366025 | − | 0.633975i | −0.0328701 | − | 0.0569326i | ||||
\(125\) | 12.1244i | 1.08444i | ||||||||
\(126\) | 1.26795 | + | 1.46410i | 0.112958 | + | 0.130433i | ||||
\(127\) | 17.1244 | 1.51954 | 0.759770 | − | 0.650191i | \(-0.225311\pi\) | ||||
0.759770 | + | 0.650191i | \(0.225311\pi\) | |||||||
\(128\) | 2.59808 | − | 1.50000i | 0.229640 | − | 0.132583i | ||||
\(129\) | 2.73205 | + | 10.1962i | 0.240544 | + | 0.897721i | ||||
\(130\) | −4.09808 | + | 1.09808i | −0.359425 | + | 0.0963077i | ||||
\(131\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(132\) | 8.46410i | 0.736705i | ||||||||
\(133\) | 8.03590 | − | 11.8660i | 0.696801 | − | 1.02891i | ||||
\(134\) | −1.73205 | − | 1.73205i | −0.149626 | − | 0.149626i | ||||
\(135\) | −1.96410 | + | 7.33013i | −0.169043 | + | 0.630877i | ||||
\(136\) | 19.3923 | − | 5.19615i | 1.66288 | − | 0.445566i | ||||
\(137\) | 2.16987 | + | 8.09808i | 0.185385 | + | 0.691865i | 0.994548 | + | 0.104281i | \(0.0332542\pi\) |
−0.809163 | + | 0.587584i | \(0.800079\pi\) | |||||||
\(138\) | −13.9282 | − | 3.73205i | −1.18565 | − | 0.317693i | ||||
\(139\) | 21.5167 | 1.82502 | 0.912510 | − | 0.409055i | \(-0.134142\pi\) | ||||
0.912510 | + | 0.409055i | \(0.134142\pi\) | |||||||
\(140\) | −4.33013 | − | 1.50000i | −0.365963 | − | 0.126773i | ||||
\(141\) | 12.1962 | 1.02710 | ||||||||
\(142\) | 9.06218 | + | 2.42820i | 0.760481 | + | 0.203770i | ||||
\(143\) | −9.29423 | − | 5.36603i | −0.777222 | − | 0.448730i | ||||
\(144\) | 0.633975 | + | 0.366025i | 0.0528312 | + | 0.0305021i | ||||
\(145\) | 15.9282 | + | 4.26795i | 1.32277 | + | 0.354434i | ||||
\(146\) | 4.53590 | 0.375394 | ||||||||
\(147\) | −12.4282 | − | 5.33013i | −1.02506 | − | 0.439621i | ||||
\(148\) | 0.535898 | 0.0440506 | ||||||||
\(149\) | 7.09808 | + | 1.90192i | 0.581497 | + | 0.155812i | 0.537564 | − | 0.843223i | \(-0.319345\pi\) |
0.0439329 | + | 0.999034i | \(0.486011\pi\) | |||||||
\(150\) | 1.00000 | + | 3.73205i | 0.0816497 | + | 0.304721i | ||||
\(151\) | 1.36603 | − | 0.366025i | 0.111166 | − | 0.0297867i | −0.202807 | − | 0.979219i | \(-0.565007\pi\) |
0.313973 | + | 0.949432i | \(0.398340\pi\) | |||||||
\(152\) | 4.20577 | − | 15.6962i | 0.341133 | − | 1.27313i | ||||
\(153\) | −3.46410 | − | 3.46410i | −0.280056 | − | 0.280056i | ||||
\(154\) | 5.06218 | + | 10.4282i | 0.407922 | + | 0.840329i | ||||
\(155\) | 1.26795i | 0.101844i | ||||||||
\(156\) | 4.09808 | − | 2.36603i | 0.328109 | − | 0.189434i | ||||
\(157\) | −17.9282 | + | 4.80385i | −1.43083 | + | 0.383389i | −0.889311 | − | 0.457302i | \(-0.848816\pi\) |
−0.541515 | + | 0.840691i | \(0.682149\pi\) | |||||||
\(158\) | 2.76795 | + | 10.3301i | 0.220206 | + | 0.821821i | ||||
\(159\) | −2.36603 | + | 1.36603i | −0.187638 | + | 0.108333i | ||||
\(160\) | −8.66025 | −0.684653 | ||||||||
\(161\) | 19.3923 | − | 3.73205i | 1.52833 | − | 0.294127i | ||||
\(162\) | 10.6603i | 0.837549i | ||||||||
\(163\) | 6.90192 | + | 11.9545i | 0.540600 | + | 0.936347i | 0.998870 | + | 0.0475339i | \(0.0151362\pi\) |
−0.458269 | + | 0.888813i | \(0.651530\pi\) | |||||||
\(164\) | 2.33013 | + | 5.96410i | 0.181952 | + | 0.465718i | ||||
\(165\) | 7.33013 | − | 12.6962i | 0.570650 | − | 0.988394i | ||||
\(166\) | 0.633975 | − | 0.366025i | 0.0492060 | − | 0.0284091i | ||||
\(167\) | 1.92820 | + | 1.92820i | 0.149209 | + | 0.149209i | 0.777765 | − | 0.628556i | \(-0.216354\pi\) |
−0.628556 | + | 0.777765i | \(0.716354\pi\) | |||||||
\(168\) | −15.2942 | − | 1.09808i | −1.17998 | − | 0.0847184i | ||||
\(169\) | − | 7.00000i | − | 0.538462i | ||||||
\(170\) | −11.1962 | − | 3.00000i | −0.858706 | − | 0.230089i | ||||
\(171\) | −3.83013 | + | 1.02628i | −0.292897 | + | 0.0784816i | ||||
\(172\) | −4.73205 | − | 2.73205i | −0.360815 | − | 0.208317i | ||||
\(173\) | 0.0621778 | − | 0.0358984i | 0.00472729 | − | 0.00272930i | −0.497634 | − | 0.867387i | \(-0.665798\pi\) |
0.502362 | + | 0.864658i | \(0.332465\pi\) | |||||||
\(174\) | 18.3923 | 1.39432 | ||||||||
\(175\) | −3.46410 | − | 4.00000i | −0.261861 | − | 0.302372i | ||||
\(176\) | 3.09808 | + | 3.09808i | 0.233526 | + | 0.233526i | ||||
\(177\) | −5.36603 | + | 20.0263i | −0.403335 | + | 1.50527i | ||||
\(178\) | −1.83013 | − | 6.83013i | −0.137174 | − | 0.511940i | ||||
\(179\) | 2.23205 | + | 8.33013i | 0.166831 | + | 0.622623i | 0.997800 | + | 0.0663030i | \(0.0211204\pi\) |
−0.830968 | + | 0.556320i | \(0.812213\pi\) | |||||||
\(180\) | 0.633975 | + | 1.09808i | 0.0472537 | + | 0.0818458i | ||||
\(181\) | 7.73205 | − | 7.73205i | 0.574719 | − | 0.574719i | −0.358725 | − | 0.933443i | \(-0.616788\pi\) |
0.933443 | + | 0.358725i | \(0.116788\pi\) | |||||||
\(182\) | 3.63397 | − | 5.36603i | 0.269368 | − | 0.397756i | ||||
\(183\) | 9.56218 | − | 9.56218i | 0.706857 | − | 0.706857i | ||||
\(184\) | 19.3923 | − | 11.1962i | 1.42962 | − | 0.825391i | ||||
\(185\) | −0.803848 | − | 0.464102i | −0.0591000 | − | 0.0341214i | ||||
\(186\) | 0.366025 | + | 1.36603i | 0.0268383 | + | 0.100162i | ||||
\(187\) | −14.6603 | − | 25.3923i | −1.07206 | − | 1.85687i | ||||
\(188\) | −4.46410 | + | 4.46410i | −0.325578 | + | 0.325578i | ||||
\(189\) | −5.06218 | − | 10.4282i | −0.368219 | − | 0.758540i | ||||
\(190\) | −6.63397 | + | 6.63397i | −0.481279 | + | 0.481279i | ||||
\(191\) | 7.36603 | + | 1.97372i | 0.532987 | + | 0.142813i | 0.515267 | − | 0.857030i | \(-0.327693\pi\) |
0.0177197 | + | 0.999843i | \(0.494359\pi\) | |||||||
\(192\) | −13.0622 | + | 3.50000i | −0.942681 | + | 0.252591i | ||||
\(193\) | 8.83013 | − | 2.36603i | 0.635606 | − | 0.170310i | 0.0733939 | − | 0.997303i | \(-0.476617\pi\) |
0.562213 | + | 0.826993i | \(0.309950\pi\) | |||||||
\(194\) | −2.00000 | + | 7.46410i | −0.143592 | + | 0.535891i | ||||
\(195\) | −8.19615 | −0.586939 | ||||||||
\(196\) | 6.50000 | − | 2.59808i | 0.464286 | − | 0.185577i | ||||
\(197\) | 0.0717968i | 0.00511531i | 0.999997 | + | 0.00255765i | \(0.000814127\pi\) | ||||
−0.999997 | + | 0.00255765i | \(0.999186\pi\) | |||||||
\(198\) | 0.830127 | − | 3.09808i | 0.0589946 | − | 0.220171i | ||||
\(199\) | 3.29423 | + | 12.2942i | 0.233522 | + | 0.871515i | 0.978810 | + | 0.204772i | \(0.0656453\pi\) |
−0.745288 | + | 0.666743i | \(0.767688\pi\) | |||||||
\(200\) | −5.19615 | − | 3.00000i | −0.367423 | − | 0.212132i | ||||
\(201\) | −2.36603 | − | 4.09808i | −0.166887 | − | 0.289056i | ||||
\(202\) | −6.19615 | − | 6.19615i | −0.435960 | − | 0.435960i | ||||
\(203\) | −22.6603 | + | 11.0000i | −1.59044 | + | 0.772049i | ||||
\(204\) | 12.9282 | 0.905155 | ||||||||
\(205\) | 1.66987 | − | 10.9641i | 0.116629 | − | 0.765766i | ||||
\(206\) | 4.36603 | − | 7.56218i | 0.304195 | − | 0.526882i | ||||
\(207\) | −4.73205 | − | 2.73205i | −0.328900 | − | 0.189891i | ||||
\(208\) | 0.633975 | − | 2.36603i | 0.0439582 | − | 0.164054i | ||||
\(209\) | −23.7321 | −1.64158 | ||||||||
\(210\) | 7.33013 | + | 4.96410i | 0.505827 | + | 0.342556i | ||||
\(211\) | −5.16987 | + | 5.16987i | −0.355909 | + | 0.355909i | −0.862302 | − | 0.506394i | \(-0.830978\pi\) |
0.506394 | + | 0.862302i | \(0.330978\pi\) | |||||||
\(212\) | 0.366025 | − | 1.36603i | 0.0251387 | − | 0.0938190i | ||||
\(213\) | 15.6962 | + | 9.06218i | 1.07548 | + | 0.620930i | ||||
\(214\) | −17.3660 | − | 10.0263i | −1.18712 | − | 0.685382i | ||||
\(215\) | 4.73205 | + | 8.19615i | 0.322723 | + | 0.558973i | ||||
\(216\) | −9.29423 | − | 9.29423i | −0.632392 | − | 0.632392i | ||||
\(217\) | −1.26795 | − | 1.46410i | −0.0860740 | − | 0.0993897i | ||||
\(218\) | −6.92820 | − | 6.92820i | −0.469237 | − | 0.469237i | ||||
\(219\) | 8.46410 | + | 2.26795i | 0.571951 | + | 0.153254i | ||||
\(220\) | 1.96410 | + | 7.33013i | 0.132420 | + | 0.494197i | ||||
\(221\) | −8.19615 | + | 14.1962i | −0.551333 | + | 0.954937i | ||||
\(222\) | −1.00000 | − | 0.267949i | −0.0671156 | − | 0.0179836i | ||||
\(223\) | 8.92820 | 0.597877 | 0.298938 | − | 0.954272i | \(-0.403368\pi\) | ||||
0.298938 | + | 0.954272i | \(0.403368\pi\) | |||||||
\(224\) | 10.0000 | − | 8.66025i | 0.668153 | − | 0.578638i | ||||
\(225\) | 1.46410i | 0.0976068i | ||||||||
\(226\) | −16.9641 | + | 9.79423i | −1.12844 | + | 0.651502i | ||||
\(227\) | 4.13397 | + | 15.4282i | 0.274382 | + | 1.02401i | 0.956255 | + | 0.292535i | \(0.0944989\pi\) |
−0.681873 | + | 0.731470i | \(0.738834\pi\) | |||||||
\(228\) | 5.23205 | − | 9.06218i | 0.346501 | − | 0.600157i | ||||
\(229\) | −3.00000 | − | 0.803848i | −0.198246 | − | 0.0531197i | 0.158330 | − | 0.987386i | \(-0.449389\pi\) |
−0.356575 | + | 0.934267i | \(0.616056\pi\) | |||||||
\(230\) | −12.9282 | −0.852460 | ||||||||
\(231\) | 4.23205 | + | 21.9904i | 0.278449 | + | 1.44686i | ||||
\(232\) | −20.1962 | + | 20.1962i | −1.32594 | + | 1.32594i | ||||
\(233\) | −1.50962 | + | 5.63397i | −0.0988984 | + | 0.369094i | −0.997582 | − | 0.0695043i | \(-0.977858\pi\) |
0.898683 | + | 0.438598i | \(0.144525\pi\) | |||||||
\(234\) | −1.73205 | + | 0.464102i | −0.113228 | + | 0.0303393i | ||||
\(235\) | 10.5622 | − | 2.83013i | 0.689001 | − | 0.184617i | ||||
\(236\) | −5.36603 | − | 9.29423i | −0.349299 | − | 0.605003i | ||||
\(237\) | 20.6603i | 1.34203i | ||||||||
\(238\) | 15.9282 | − | 7.73205i | 1.03247 | − | 0.501194i | ||||
\(239\) | 2.75833 | + | 2.75833i | 0.178422 | + | 0.178422i | 0.790667 | − | 0.612246i | \(-0.209734\pi\) |
−0.612246 | + | 0.790667i | \(0.709734\pi\) | |||||||
\(240\) | 3.23205 | + | 0.866025i | 0.208628 | + | 0.0559017i | ||||
\(241\) | −16.0526 | − | 9.26795i | −1.03404 | − | 0.597001i | −0.115898 | − | 0.993261i | \(-0.536975\pi\) |
−0.918138 | + | 0.396260i | \(0.870308\pi\) | |||||||
\(242\) | 4.09808 | − | 7.09808i | 0.263434 | − | 0.456282i | ||||
\(243\) | −1.92820 | + | 7.19615i | −0.123694 | + | 0.461633i | ||||
\(244\) | 7.00000i | 0.448129i | ||||||||
\(245\) | −12.0000 | − | 1.73205i | −0.766652 | − | 0.110657i | ||||
\(246\) | −1.36603 | − | 12.2942i | −0.0870946 | − | 0.783851i | ||||
\(247\) | 6.63397 | + | 11.4904i | 0.422110 | + | 0.731115i | ||||
\(248\) | −1.90192 | − | 1.09808i | −0.120772 | − | 0.0697279i | ||||
\(249\) | 1.36603 | − | 0.366025i | 0.0865683 | − | 0.0231959i | ||||
\(250\) | 6.06218 | + | 10.5000i | 0.383406 | + | 0.664078i | ||||
\(251\) | − | 4.73205i | − | 0.298684i | −0.988786 | − | 0.149342i | \(-0.952284\pi\) | ||
0.988786 | − | 0.149342i | \(-0.0477156\pi\) | |||||||
\(252\) | −1.83013 | − | 0.633975i | −0.115287 | − | 0.0399366i | ||||
\(253\) | −23.1244 | − | 23.1244i | −1.45382 | − | 1.45382i | ||||
\(254\) | 14.8301 | − | 8.56218i | 0.930525 | − | 0.537239i | ||||
\(255\) | −19.3923 | − | 11.1962i | −1.21439 | − | 0.701130i | ||||
\(256\) | 8.50000 | − | 14.7224i | 0.531250 | − | 0.920152i | ||||
\(257\) | −3.60770 | + | 13.4641i | −0.225042 | + | 0.839868i | 0.757346 | + | 0.653014i | \(0.226496\pi\) |
−0.982388 | + | 0.186854i | \(0.940171\pi\) | |||||||
\(258\) | 7.46410 | + | 7.46410i | 0.464695 | + | 0.464695i | ||||
\(259\) | 1.39230 | − | 0.267949i | 0.0865136 | − | 0.0166496i | ||||
\(260\) | 3.00000 | − | 3.00000i | 0.186052 | − | 0.186052i | ||||
\(261\) | 6.73205 | + | 1.80385i | 0.416703 | + | 0.111655i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.83013 | − | 21.7583i | −0.359501 | − | 1.34168i | −0.874725 | − | 0.484620i | \(-0.838958\pi\) |
0.515224 | − | 0.857056i | \(-0.327709\pi\) | |||||||
\(264\) | 12.6962 | + | 21.9904i | 0.781394 | + | 1.35341i | ||||
\(265\) | −1.73205 | + | 1.73205i | −0.106399 | + | 0.106399i | ||||
\(266\) | 1.02628 | − | 14.2942i | 0.0629252 | − | 0.876435i | ||||
\(267\) | − | 13.6603i | − | 0.835994i | ||||||
\(268\) | 2.36603 | + | 0.633975i | 0.144528 | + | 0.0387262i | ||||
\(269\) | −5.50000 | + | 9.52628i | −0.335341 | + | 0.580828i | −0.983550 | − | 0.180635i | \(-0.942185\pi\) |
0.648209 | + | 0.761462i | \(0.275518\pi\) | |||||||
\(270\) | 1.96410 | + | 7.33013i | 0.119531 | + | 0.446097i | ||||
\(271\) | 3.26795 | + | 5.66025i | 0.198514 | + | 0.343836i | 0.948047 | − | 0.318131i | \(-0.103055\pi\) |
−0.749533 | + | 0.661967i | \(0.769722\pi\) | |||||||
\(272\) | 4.73205 | − | 4.73205i | 0.286923 | − | 0.286923i | ||||
\(273\) | 9.46410 | − | 8.19615i | 0.572793 | − | 0.496054i | ||||
\(274\) | 5.92820 | + | 5.92820i | 0.358136 | + | 0.358136i | ||||
\(275\) | −2.26795 | + | 8.46410i | −0.136762 | + | 0.510405i | ||||
\(276\) | 13.9282 | − | 3.73205i | 0.838379 | − | 0.224643i | ||||
\(277\) | −2.79423 | + | 4.83975i | −0.167889 | + | 0.290792i | −0.937677 | − | 0.347507i | \(-0.887028\pi\) |
0.769789 | + | 0.638299i | \(0.220362\pi\) | |||||||
\(278\) | 18.6340 | − | 10.7583i | 1.11759 | − | 0.645242i | ||||
\(279\) | 0.535898i | 0.0320834i | ||||||||
\(280\) | −13.5000 | + | 2.59808i | −0.806779 | + | 0.155265i | ||||
\(281\) | −0.196152 | + | 0.196152i | −0.0117015 | + | 0.0117015i | −0.712933 | − | 0.701232i | \(-0.752634\pi\) |
0.701232 | + | 0.712933i | \(0.252634\pi\) | |||||||
\(282\) | 10.5622 | − | 6.09808i | 0.628969 | − | 0.363135i | ||||
\(283\) | 1.90192 | − | 3.29423i | 0.113058 | − | 0.195822i | −0.803944 | − | 0.594705i | \(-0.797269\pi\) |
0.917002 | + | 0.398883i | \(0.130602\pi\) | |||||||
\(284\) | −9.06218 | + | 2.42820i | −0.537741 | + | 0.144087i | ||||
\(285\) | −15.6962 | + | 9.06218i | −0.929760 | + | 0.536797i | ||||
\(286\) | −10.7321 | −0.634599 | ||||||||
\(287\) | 9.03590 | + | 14.3301i | 0.533372 | + | 0.845881i | ||||
\(288\) | −3.66025 | −0.215683 | ||||||||
\(289\) | −24.0622 | + | 13.8923i | −1.41542 | + | 0.817194i | ||||
\(290\) | 15.9282 | − | 4.26795i | 0.935336 | − | 0.250623i | ||||
\(291\) | −7.46410 | + | 12.9282i | −0.437553 | + | 0.757865i | ||||
\(292\) | −3.92820 | + | 2.26795i | −0.229881 | + | 0.132722i | ||||
\(293\) | 7.12436 | − | 7.12436i | 0.416209 | − | 0.416209i | −0.467686 | − | 0.883895i | \(-0.654912\pi\) |
0.883895 | + | 0.467686i | \(0.154912\pi\) | |||||||
\(294\) | −13.4282 | + | 1.59808i | −0.783149 | + | 0.0932017i | ||||
\(295\) | 18.5885i | 1.08226i | ||||||||
\(296\) | 1.39230 | − | 0.803848i | 0.0809261 | − | 0.0467227i | ||||
\(297\) | −9.59808 | + | 16.6244i | −0.556937 | + | 0.964643i | ||||
\(298\) | 7.09808 | − | 1.90192i | 0.411181 | − | 0.110175i | ||||
\(299\) | −4.73205 | + | 17.6603i | −0.273662 | + | 1.02132i | ||||
\(300\) | −2.73205 | − | 2.73205i | −0.157735 | − | 0.157735i | ||||
\(301\) | −13.6603 | − | 4.73205i | −0.787364 | − | 0.272751i | ||||
\(302\) | 1.00000 | − | 1.00000i | 0.0575435 | − | 0.0575435i | ||||
\(303\) | −8.46410 | − | 14.6603i | −0.486250 | − | 0.842210i | ||||
\(304\) | −1.40192 | − | 5.23205i | −0.0804058 | − | 0.300079i | ||||
\(305\) | 6.06218 | − | 10.5000i | 0.347119 | − | 0.601228i | ||||
\(306\) | −4.73205 | − | 1.26795i | −0.270513 | − | 0.0724838i | ||||
\(307\) | − | 22.0000i | − | 1.25561i | −0.778372 | − | 0.627803i | \(-0.783954\pi\) | ||
0.778372 | − | 0.627803i | \(-0.216046\pi\) | |||||||
\(308\) | −9.59808 | − | 6.50000i | −0.546901 | − | 0.370372i | ||||
\(309\) | 11.9282 | − | 11.9282i | 0.678572 | − | 0.678572i | ||||
\(310\) | 0.633975 | + | 1.09808i | 0.0360073 | + | 0.0623665i | ||||
\(311\) | 0.366025 | + | 1.36603i | 0.0207554 | + | 0.0774602i | 0.975527 | − | 0.219881i | \(-0.0705668\pi\) |
−0.954771 | + | 0.297341i | \(0.903900\pi\) | |||||||
\(312\) | 7.09808 | − | 12.2942i | 0.401849 | − | 0.696024i | ||||
\(313\) | −22.5885 | − | 6.05256i | −1.27678 | − | 0.342111i | −0.444152 | − | 0.895951i | \(-0.646495\pi\) |
−0.832623 | + | 0.553840i | \(0.813162\pi\) | |||||||
\(314\) | −13.1244 | + | 13.1244i | −0.740650 | + | 0.740650i | ||||
\(315\) | 2.19615 | + | 2.53590i | 0.123739 | + | 0.142882i | ||||
\(316\) | −7.56218 | − | 7.56218i | −0.425406 | − | 0.425406i | ||||
\(317\) | 4.14359 | − | 15.4641i | 0.232727 | − | 0.868550i | −0.746433 | − | 0.665461i | \(-0.768235\pi\) |
0.979160 | − | 0.203090i | \(-0.0650983\pi\) | |||||||
\(318\) | −1.36603 | + | 2.36603i | −0.0766029 | + | 0.132680i | ||||
\(319\) | 36.1244 | + | 20.8564i | 2.02258 | + | 1.16773i | ||||
\(320\) | −10.5000 | + | 6.06218i | −0.586968 | + | 0.338886i | ||||
\(321\) | −27.3923 | − | 27.3923i | −1.52889 | − | 1.52889i | ||||
\(322\) | 14.9282 | − | 12.9282i | 0.831916 | − | 0.720461i | ||||
\(323\) | 36.2487i | 2.01693i | ||||||||
\(324\) | −5.33013 | − | 9.23205i | −0.296118 | − | 0.512892i | ||||
\(325\) | 4.73205 | − | 1.26795i | 0.262487 | − | 0.0703332i | ||||
\(326\) | 11.9545 | + | 6.90192i | 0.662098 | + | 0.382262i | ||||
\(327\) | −9.46410 | − | 16.3923i | −0.523366 | − | 0.906497i | ||||
\(328\) | 15.0000 | + | 12.0000i | 0.828236 | + | 0.662589i | ||||
\(329\) | −9.36603 | + | 13.8301i | −0.516366 | + | 0.762480i | ||||
\(330\) | − | 14.6603i | − | 0.807020i | ||||||
\(331\) | −6.02628 | + | 22.4904i | −0.331234 | + | 1.23618i | 0.576660 | + | 0.816984i | \(0.304356\pi\) |
−0.907894 | + | 0.419199i | \(0.862311\pi\) | |||||||
\(332\) | −0.366025 | + | 0.633975i | −0.0200883 | + | 0.0347939i | ||||
\(333\) | −0.339746 | − | 0.196152i | −0.0186180 | − | 0.0107491i | ||||
\(334\) | 2.63397 | + | 0.705771i | 0.144125 | + | 0.0386181i | ||||
\(335\) | −3.00000 | − | 3.00000i | −0.163908 | − | 0.163908i | ||||
\(336\) | −4.59808 | + | 2.23205i | −0.250846 | + | 0.121768i | ||||
\(337\) | − | 10.8038i | − | 0.588523i | −0.955725 | − | 0.294262i | \(-0.904926\pi\) | ||
0.955725 | − | 0.294262i | \(-0.0950737\pi\) | |||||||
\(338\) | −3.50000 | − | 6.06218i | −0.190375 | − | 0.329739i | ||||
\(339\) | −36.5526 | + | 9.79423i | −1.98526 | + | 0.531949i | ||||
\(340\) | 11.1962 | − | 3.00000i | 0.607197 | − | 0.162698i | ||||
\(341\) | −0.830127 | + | 3.09808i | −0.0449539 | + | 0.167770i | ||||
\(342\) | −2.80385 | + | 2.80385i | −0.151615 | + | 0.151615i | ||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | −16.3923 | −0.883814 | ||||||||
\(345\) | −24.1244 | − | 6.46410i | −1.29881 | − | 0.348016i | ||||
\(346\) | 0.0358984 | − | 0.0621778i | 0.00192991 | − | 0.00334270i | ||||
\(347\) | 3.93782 | + | 14.6962i | 0.211393 | + | 0.788931i | 0.987405 | + | 0.158212i | \(0.0505731\pi\) |
−0.776012 | + | 0.630718i | \(0.782760\pi\) | |||||||
\(348\) | −15.9282 | + | 9.19615i | −0.853841 | + | 0.492966i | ||||
\(349\) | − | 3.46410i | − | 0.185429i | −0.995693 | − | 0.0927146i | \(-0.970446\pi\) | ||
0.995693 | − | 0.0927146i | \(-0.0295544\pi\) | |||||||
\(350\) | −5.00000 | − | 1.73205i | −0.267261 | − | 0.0925820i | ||||
\(351\) | 10.7321 | 0.572834 | ||||||||
\(352\) | −21.1603 | − | 5.66987i | −1.12785 | − | 0.302205i | ||||
\(353\) | 10.3301 | − | 17.8923i | 0.549817 | − | 0.952311i | −0.448469 | − | 0.893798i | \(-0.648031\pi\) |
0.998287 | − | 0.0585131i | \(-0.0186360\pi\) | |||||||
\(354\) | 5.36603 | + | 20.0263i | 0.285201 | + | 1.06438i | ||||
\(355\) | 15.6962 | + | 4.20577i | 0.833065 | + | 0.223219i | ||||
\(356\) | 5.00000 | + | 5.00000i | 0.264999 | + | 0.264999i | ||||
\(357\) | 33.5885 | − | 6.46410i | 1.77769 | − | 0.342117i | ||||
\(358\) | 6.09808 | + | 6.09808i | 0.322293 | + | 0.322293i | ||||
\(359\) | 6.29423 | + | 10.9019i | 0.332197 | + | 0.575382i | 0.982942 | − | 0.183914i | \(-0.0588769\pi\) |
−0.650746 | + | 0.759296i | \(0.725544\pi\) | |||||||
\(360\) | 3.29423 | + | 1.90192i | 0.173621 | + | 0.100240i | ||||
\(361\) | 8.95448 | + | 5.16987i | 0.471289 | + | 0.272099i | ||||
\(362\) | 2.83013 | − | 10.5622i | 0.148748 | − | 0.555136i | ||||
\(363\) | 11.1962 | − | 11.1962i | 0.587646 | − | 0.587646i | ||||
\(364\) | −0.464102 | + | 6.46410i | −0.0243255 | + | 0.338811i | ||||
\(365\) | 7.85641 | 0.411223 | ||||||||
\(366\) | 3.50000 | − | 13.0622i | 0.182948 | − | 0.682771i | ||||
\(367\) | −7.68653 | − | 4.43782i | −0.401234 | − | 0.231652i | 0.285782 | − | 0.958295i | \(-0.407747\pi\) |
−0.687016 | + | 0.726642i | \(0.741080\pi\) | |||||||
\(368\) | 3.73205 | − | 6.46410i | 0.194547 | − | 0.336965i | ||||
\(369\) | 0.705771 | − | 4.63397i | 0.0367410 | − | 0.241235i | ||||
\(370\) | −0.928203 | −0.0482550 | ||||||||
\(371\) | 0.267949 | − | 3.73205i | 0.0139112 | − | 0.193758i | ||||
\(372\) | −1.00000 | − | 1.00000i | −0.0518476 | − | 0.0518476i | ||||
\(373\) | −7.42820 | − | 12.8660i | −0.384618 | − | 0.666178i | 0.607098 | − | 0.794627i | \(-0.292333\pi\) |
−0.991716 | + | 0.128449i | \(0.959000\pi\) | |||||||
\(374\) | −25.3923 | − | 14.6603i | −1.31300 | − | 0.758064i | ||||
\(375\) | 6.06218 | + | 22.6244i | 0.313050 | + | 1.16832i | ||||
\(376\) | −4.90192 | + | 18.2942i | −0.252797 | + | 0.943453i | ||||
\(377\) | − | 23.3205i | − | 1.20107i | ||||||
\(378\) | −9.59808 | − | 6.50000i | −0.493672 | − | 0.334324i | ||||
\(379\) | −14.5885 | −0.749359 | −0.374679 | − | 0.927154i | \(-0.622247\pi\) | ||||
−0.374679 | + | 0.927154i | \(0.622247\pi\) | |||||||
\(380\) | 2.42820 | − | 9.06218i | 0.124564 | − | 0.464880i | ||||
\(381\) | 31.9545 | − | 8.56218i | 1.63708 | − | 0.438654i | ||||
\(382\) | 7.36603 | − | 1.97372i | 0.376879 | − | 0.100984i | ||||
\(383\) | 11.7942 | + | 3.16025i | 0.602657 | + | 0.161481i | 0.547231 | − | 0.836981i | \(-0.315682\pi\) |
0.0554256 | + | 0.998463i | \(0.482348\pi\) | |||||||
\(384\) | 4.09808 | − | 4.09808i | 0.209129 | − | 0.209129i | ||||
\(385\) | 8.76795 | + | 18.0622i | 0.446856 | + | 0.920534i | ||||
\(386\) | 6.46410 | − | 6.46410i | 0.329014 | − | 0.329014i | ||||
\(387\) | 2.00000 | + | 3.46410i | 0.101666 | + | 0.176090i | ||||
\(388\) | −2.00000 | − | 7.46410i | −0.101535 | − | 0.378932i | ||||
\(389\) | −17.5981 | − | 10.1603i | −0.892258 | − | 0.515145i | −0.0175775 | − | 0.999846i | \(-0.505595\pi\) |
−0.874680 | + | 0.484700i | \(0.838929\pi\) | |||||||
\(390\) | −7.09808 | + | 4.09808i | −0.359425 | + | 0.207514i | ||||
\(391\) | −35.3205 | + | 35.3205i | −1.78623 | + | 1.78623i | ||||
\(392\) | 12.9904 | − | 16.5000i | 0.656113 | − | 0.833376i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.0358984 | + | 0.0621778i | 0.00180853 | + | 0.00313247i | ||||
\(395\) | 4.79423 | + | 17.8923i | 0.241224 | + | 0.900260i | ||||
\(396\) | 0.830127 | + | 3.09808i | 0.0417155 | + | 0.155684i | ||||
\(397\) | −3.29423 | + | 12.2942i | −0.165333 | + | 0.617030i | 0.832665 | + | 0.553777i | \(0.186814\pi\) |
−0.997998 | + | 0.0632526i | \(0.979853\pi\) | |||||||
\(398\) | 9.00000 | + | 9.00000i | 0.451129 | + | 0.451129i | ||||
\(399\) | 9.06218 | − | 26.1603i | 0.453676 | − | 1.30965i | ||||
\(400\) | −2.00000 | −0.100000 | ||||||||
\(401\) | −11.5526 | + | 6.66987i | −0.576907 | + | 0.333078i | −0.759903 | − | 0.650036i | \(-0.774754\pi\) |
0.182996 | + | 0.983114i | \(0.441420\pi\) | |||||||
\(402\) | −4.09808 | − | 2.36603i | −0.204393 | − | 0.118007i | ||||
\(403\) | 1.73205 | − | 0.464102i | 0.0862796 | − | 0.0231185i | ||||
\(404\) | 8.46410 | + | 2.26795i | 0.421105 | + | 0.112835i | ||||
\(405\) | 18.4641i | 0.917489i | ||||||||
\(406\) | −14.1244 | + | 20.8564i | −0.700980 | + | 1.03509i | ||||
\(407\) | −1.66025 | − | 1.66025i | −0.0822957 | − | 0.0822957i | ||||
\(408\) | 33.5885 | − | 19.3923i | 1.66288 | − | 0.960062i | ||||
\(409\) | 16.9904 | − | 29.4282i | 0.840120 | − | 1.45513i | −0.0496722 | − | 0.998766i | \(-0.515818\pi\) |
0.889792 | − | 0.456365i | \(-0.150849\pi\) | |||||||
\(410\) | −4.03590 | − | 10.3301i | −0.199319 | − | 0.510169i | ||||
\(411\) | 8.09808 | + | 14.0263i | 0.399449 | + | 0.691865i | ||||
\(412\) | 8.73205i | 0.430197i | ||||||||
\(413\) | −18.5885 | − | 21.4641i | −0.914678 | − | 1.05618i | ||||
\(414\) | −5.46410 | −0.268546 | ||||||||
\(415\) | 1.09808 | − | 0.633975i | 0.0539024 | − | 0.0311206i | ||||
\(416\) | 3.16987 | + | 11.8301i | 0.155416 | + | 0.580020i | ||||
\(417\) | 40.1506 | − | 10.7583i | 1.96619 | − | 0.526838i | ||||
\(418\) | −20.5526 | + | 11.8660i | −1.00526 | + | 0.580386i | ||||
\(419\) | 0.928203i | 0.0453457i | 0.999743 | + | 0.0226728i | \(0.00721761\pi\) | ||||
−0.999743 | + | 0.0226728i | \(0.992782\pi\) | |||||||
\(420\) | −8.83013 | − | 0.633975i | −0.430866 | − | 0.0309348i | ||||
\(421\) | 8.32051 | + | 8.32051i | 0.405517 | + | 0.405517i | 0.880172 | − | 0.474655i | \(-0.157427\pi\) |
−0.474655 | + | 0.880172i | \(0.657427\pi\) | |||||||
\(422\) | −1.89230 | + | 7.06218i | −0.0921160 | + | 0.343781i | ||||
\(423\) | 4.46410 | − | 1.19615i | 0.217052 | − | 0.0581589i | ||||
\(424\) | −1.09808 | − | 4.09808i | −0.0533273 | − | 0.199020i | ||||
\(425\) | 12.9282 | + | 3.46410i | 0.627110 | + | 0.168034i | ||||
\(426\) | 18.1244 | 0.878128 | ||||||||
\(427\) | 3.50000 | + | 18.1865i | 0.169377 | + | 0.880108i | ||||
\(428\) | 20.0526 | 0.969277 | ||||||||
\(429\) | −20.0263 | − | 5.36603i | −0.966878 | − | 0.259074i | ||||
\(430\) | 8.19615 | + | 4.73205i | 0.395254 | + | 0.228200i | ||||
\(431\) | −20.5359 | − | 11.8564i | −0.989179 | − | 0.571103i | −0.0841505 | − | 0.996453i | \(-0.526818\pi\) |
−0.905029 | + | 0.425350i | \(0.860151\pi\) | |||||||
\(432\) | −4.23205 | − | 1.13397i | −0.203615 | − | 0.0545584i | ||||
\(433\) | −15.2487 | −0.732806 | −0.366403 | − | 0.930456i | \(-0.619411\pi\) | ||||
−0.366403 | + | 0.930456i | \(0.619411\pi\) | |||||||
\(434\) | −1.83013 | − | 0.633975i | −0.0878489 | − | 0.0304318i | ||||
\(435\) | 31.8564 | 1.52740 | ||||||||
\(436\) | 9.46410 | + | 2.53590i | 0.453248 | + | 0.121448i | ||||
\(437\) | 10.4641 | + | 39.0526i | 0.500566 | + | 1.86814i | ||||
\(438\) | 8.46410 | − | 2.26795i | 0.404430 | − | 0.108367i | ||||
\(439\) | 1.17949 | − | 4.40192i | 0.0562941 | − | 0.210092i | −0.932050 | − | 0.362330i | \(-0.881981\pi\) |
0.988344 | + | 0.152238i | \(0.0486480\pi\) | |||||||
\(440\) | 16.0981 | + | 16.0981i | 0.767446 | + | 0.767446i | ||||
\(441\) | −5.07180 | − | 0.732051i | −0.241514 | − | 0.0348596i | ||||
\(442\) | 16.3923i | 0.779702i | ||||||||
\(443\) | 18.9282 | − | 10.9282i | 0.899306 | − | 0.519215i | 0.0223311 | − | 0.999751i | \(-0.492891\pi\) |
0.876975 | + | 0.480536i | \(0.159558\pi\) | |||||||
\(444\) | 1.00000 | − | 0.267949i | 0.0474579 | − | 0.0127163i | ||||
\(445\) | −3.16987 | − | 11.8301i | −0.150266 | − | 0.560802i | ||||
\(446\) | 7.73205 | − | 4.46410i | 0.366123 | − | 0.211381i | ||||
\(447\) | 14.1962 | 0.671455 | ||||||||
\(448\) | 6.06218 | − | 17.5000i | 0.286411 | − | 0.826797i | ||||
\(449\) | − | 40.8564i | − | 1.92813i | −0.265661 | − | 0.964067i | \(-0.585590\pi\) | ||
0.265661 | − | 0.964067i | \(-0.414410\pi\) | |||||||
\(450\) | 0.732051 | + | 1.26795i | 0.0345092 | + | 0.0597717i | ||||
\(451\) | 11.2583 | − | 25.6962i | 0.530134 | − | 1.20998i | ||||
\(452\) | 9.79423 | − | 16.9641i | 0.460682 | − | 0.797924i | ||||
\(453\) | 2.36603 | − | 1.36603i | 0.111166 | − | 0.0641815i | ||||
\(454\) | 11.2942 | + | 11.2942i | 0.530064 | + | 0.530064i | ||||
\(455\) | 6.29423 | − | 9.29423i | 0.295078 | − | 0.435720i | ||||
\(456\) | − | 31.3923i | − | 1.47008i | ||||||
\(457\) | 10.7321 | + | 2.87564i | 0.502024 | + | 0.134517i | 0.500939 | − | 0.865482i | \(-0.332988\pi\) |
0.00108490 | + | 0.999999i | \(0.499655\pi\) | |||||||
\(458\) | −3.00000 | + | 0.803848i | −0.140181 | + | 0.0375613i | ||||
\(459\) | 25.3923 | + | 14.6603i | 1.18521 | + | 0.684282i | ||||
\(460\) | 11.1962 | − | 6.46410i | 0.522023 | − | 0.301390i | ||||
\(461\) | 10.4115 | 0.484914 | 0.242457 | − | 0.970162i | \(-0.422047\pi\) | ||||
0.242457 | + | 0.970162i | \(0.422047\pi\) | |||||||
\(462\) | 14.6603 | + | 16.9282i | 0.682057 | + | 0.787571i | ||||
\(463\) | −4.29423 | − | 4.29423i | −0.199570 | − | 0.199570i | 0.600246 | − | 0.799816i | \(-0.295069\pi\) |
−0.799816 | + | 0.600246i | \(0.795069\pi\) | |||||||
\(464\) | −2.46410 | + | 9.19615i | −0.114393 | + | 0.426921i | ||||
\(465\) | 0.633975 | + | 2.36603i | 0.0293999 | + | 0.109722i | ||||
\(466\) | 1.50962 | + | 5.63397i | 0.0699317 | + | 0.260989i | ||||
\(467\) | 3.00000 | + | 5.19615i | 0.138823 | + | 0.240449i | 0.927052 | − | 0.374934i | \(-0.122335\pi\) |
−0.788228 | + | 0.615383i | \(0.789001\pi\) | |||||||
\(468\) | 1.26795 | − | 1.26795i | 0.0586110 | − | 0.0586110i | ||||
\(469\) | 6.46410 | + | 0.464102i | 0.298484 | + | 0.0214302i | ||||
\(470\) | 7.73205 | − | 7.73205i | 0.356653 | − | 0.356653i | ||||
\(471\) | −31.0526 | + | 17.9282i | −1.43083 | + | 0.826088i | ||||
\(472\) | −27.8827 | − | 16.0981i | −1.28340 | − | 0.740974i | ||||
\(473\) | 6.19615 | + | 23.1244i | 0.284899 | + | 1.06326i | ||||
\(474\) | 10.3301 | + | 17.8923i | 0.474478 | + | 0.821821i | ||||
\(475\) | 7.66025 | − | 7.66025i | 0.351477 | − | 0.351477i | ||||
\(476\) | −9.92820 | + | 14.6603i | −0.455058 | + | 0.671952i | ||||
\(477\) | −0.732051 | + | 0.732051i | −0.0335183 | + | 0.0335183i | ||||
\(478\) | 3.76795 | + | 1.00962i | 0.172342 | + | 0.0461789i | ||||
\(479\) | −28.3564 | + | 7.59808i | −1.29564 | + | 0.347165i | −0.839799 | − | 0.542898i | \(-0.817327\pi\) |
−0.455838 | + | 0.890063i | \(0.650661\pi\) | |||||||
\(480\) | −16.1603 | + | 4.33013i | −0.737611 | + | 0.197642i | ||||
\(481\) | −0.339746 | + | 1.26795i | −0.0154911 | + | 0.0578135i | ||||
\(482\) | −18.5359 | −0.844287 | ||||||||
\(483\) | 34.3205 | − | 16.6603i | 1.56164 | − | 0.758068i | ||||
\(484\) | 8.19615i | 0.372552i | ||||||||
\(485\) | −3.46410 | + | 12.9282i | −0.157297 | + | 0.587039i | ||||
\(486\) | 1.92820 | + | 7.19615i | 0.0874651 | + | 0.326424i | ||||
\(487\) | −3.50962 | − | 2.02628i | −0.159036 | − | 0.0918195i | 0.418370 | − | 0.908277i | \(-0.362602\pi\) |
−0.577406 | + | 0.816457i | \(0.695935\pi\) | |||||||
\(488\) | 10.5000 | + | 18.1865i | 0.475313 | + | 0.823266i | ||||
\(489\) | 18.8564 | + | 18.8564i | 0.852716 | + | 0.852716i | ||||
\(490\) | −11.2583 | + | 4.50000i | −0.508600 | + | 0.203289i | ||||
\(491\) | −5.12436 | −0.231259 | −0.115629 | − | 0.993292i | \(-0.536889\pi\) | ||||
−0.115629 | + | 0.993292i | \(0.536889\pi\) | |||||||
\(492\) | 7.33013 | + | 9.96410i | 0.330468 | + | 0.449216i | ||||
\(493\) | 31.8564 | − | 55.1769i | 1.43474 | − | 2.48504i | ||||
\(494\) | 11.4904 | + | 6.63397i | 0.516977 | + | 0.298477i | ||||
\(495\) | 1.43782 | − | 5.36603i | 0.0646253 | − | 0.241185i | ||||
\(496\) | −0.732051 | −0.0328701 | ||||||||
\(497\) | −22.3301 | + | 10.8397i | −1.00164 | + | 0.486229i | ||||
\(498\) | 1.00000 | − | 1.00000i | 0.0448111 | − | 0.0448111i | ||||
\(499\) | −3.50962 | + | 13.0981i | −0.157112 | + | 0.586350i | 0.841803 | + | 0.539785i | \(0.181494\pi\) |
−0.998915 | + | 0.0465657i | \(0.985172\pi\) | |||||||
\(500\) | −10.5000 | − | 6.06218i | −0.469574 | − | 0.271109i | ||||
\(501\) | 4.56218 | + | 2.63397i | 0.203823 | + | 0.117677i | ||||
\(502\) | −2.36603 | − | 4.09808i | −0.105601 | − | 0.182906i | ||||
\(503\) | 9.43782 | + | 9.43782i | 0.420812 | + | 0.420812i | 0.885483 | − | 0.464671i | \(-0.153828\pi\) |
−0.464671 | + | 0.885483i | \(0.653828\pi\) | |||||||
\(504\) | −5.70577 | + | 1.09808i | −0.254155 | + | 0.0489122i | ||||
\(505\) | −10.7321 | − | 10.7321i | −0.477570 | − | 0.477570i | ||||
\(506\) | −31.5885 | − | 8.46410i | −1.40428 | − | 0.376275i | ||||
\(507\) | −3.50000 | − | 13.0622i | −0.155440 | − | 0.580112i | ||||
\(508\) | −8.56218 | + | 14.8301i | −0.379885 | + | 0.657980i | ||||
\(509\) | −3.00000 | − | 0.803848i | −0.132973 | − | 0.0356299i | 0.191719 | − | 0.981450i | \(-0.438594\pi\) |
−0.324692 | + | 0.945820i | \(0.605260\pi\) | |||||||
\(510\) | −22.3923 | −0.991548 | ||||||||
\(511\) | −9.07180 | + | 7.85641i | −0.401313 | + | 0.347547i | ||||
\(512\) | − | 11.0000i | − | 0.486136i | ||||||
\(513\) | 20.5526 | − | 11.8660i | 0.907418 | − | 0.523898i | ||||
\(514\) | 3.60770 | + | 13.4641i | 0.159129 | + | 0.593876i | ||||
\(515\) | 7.56218 | − | 13.0981i | 0.333229 | − | 0.577170i | ||||
\(516\) | −10.1962 | − | 2.73205i | −0.448861 | − | 0.120272i | ||||
\(517\) | 27.6603 | 1.21650 | ||||||||
\(518\) | 1.07180 | − | 0.928203i | 0.0470920 | − | 0.0407829i | ||||
\(519\) | 0.0980762 | − | 0.0980762i | 0.00430507 | − | 0.00430507i | ||||
\(520\) | 3.29423 | − | 12.2942i | 0.144461 | − | 0.539138i | ||||
\(521\) | 33.6865 | − | 9.02628i | 1.47583 | − | 0.395448i | 0.570907 | − | 0.821015i | \(-0.306592\pi\) |
0.904927 | + | 0.425566i | \(0.139925\pi\) | |||||||
\(522\) | 6.73205 | − | 1.80385i | 0.294654 | − | 0.0789523i | ||||
\(523\) | −17.7321 | − | 30.7128i | −0.775368 | − | 1.34298i | −0.934587 | − | 0.355734i | \(-0.884231\pi\) |
0.159219 | − | 0.987243i | \(-0.449102\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −8.46410 | − | 5.73205i | −0.369404 | − | 0.250167i | ||||
\(526\) | −15.9282 | − | 15.9282i | −0.694503 | − | 0.694503i | ||||
\(527\) | 4.73205 | + | 1.26795i | 0.206131 | + | 0.0552327i | ||||
\(528\) | 7.33013 | + | 4.23205i | 0.319003 | + | 0.184176i | ||||
\(529\) | −16.3564 | + | 28.3301i | −0.711148 | + | 1.23174i | ||||
\(530\) | −0.633975 | + | 2.36603i | −0.0275381 | + | 0.102774i | ||||
\(531\) | 7.85641i | 0.340939i | ||||||||
\(532\) | 6.25833 | + | 12.8923i | 0.271333 | + | 0.558952i | ||||
\(533\) | −15.5885 | + | 1.73205i | −0.675211 | + | 0.0750234i | ||||
\(534\) | −6.83013 | − | 11.8301i | −0.295569 | − | 0.511940i | ||||
\(535\) | −30.0788 | − | 17.3660i | −1.30042 | − | 0.750799i | ||||
\(536\) | 7.09808 | − | 1.90192i | 0.306590 | − | 0.0821506i | ||||
\(537\) | 8.33013 | + | 14.4282i | 0.359472 | + | 0.622623i | ||||
\(538\) | 11.0000i | 0.474244i | ||||||||
\(539\) | −28.1865 | − | 12.0885i | −1.21408 | − | 0.520687i | ||||
\(540\) | −5.36603 | − | 5.36603i | −0.230917 | − | 0.230917i | ||||
\(541\) | −12.1244 | + | 7.00000i | −0.521267 | + | 0.300954i | −0.737453 | − | 0.675399i | \(-0.763972\pi\) |
0.216186 | + | 0.976352i | \(0.430638\pi\) | |||||||
\(542\) | 5.66025 | + | 3.26795i | 0.243129 | + | 0.140370i | ||||
\(543\) | 10.5622 | − | 18.2942i | 0.453266 | − | 0.785080i | ||||
\(544\) | −8.66025 | + | 32.3205i | −0.371305 | + | 1.38573i | ||||
\(545\) | −12.0000 | − | 12.0000i | −0.514024 | − | 0.514024i | ||||
\(546\) | 4.09808 | − | 11.8301i | 0.175381 | − | 0.506283i | ||||
\(547\) | −24.4641 | + | 24.4641i | −1.04601 | + | 1.04601i | −0.0471202 | + | 0.998889i | \(0.515004\pi\) |
−0.998889 | + | 0.0471202i | \(0.984996\pi\) | |||||||
\(548\) | −8.09808 | − | 2.16987i | −0.345933 | − | 0.0926924i | ||||
\(549\) | 2.56218 | − | 4.43782i | 0.109351 | − | 0.189402i | ||||
\(550\) | 2.26795 | + | 8.46410i | 0.0967057 | + | 0.360911i | ||||
\(551\) | −25.7846 | − | 44.6603i | −1.09846 | − | 1.90259i | ||||
\(552\) | 30.5885 | − | 30.5885i | 1.30193 | − | 1.30193i | ||||
\(553\) | −23.4282 | − | 15.8660i | −0.996269 | − | 0.674692i | ||||
\(554\) | 5.58846i | 0.237431i | ||||||||
\(555\) | −1.73205 | − | 0.464102i | −0.0735215 | − | 0.0197000i | ||||
\(556\) | −10.7583 | + | 18.6340i | −0.456255 | + | 0.790257i | ||||
\(557\) | 4.43782 | + | 16.5622i | 0.188037 | + | 0.701762i | 0.993960 | + | 0.109742i | \(0.0350026\pi\) |
−0.805924 | + | 0.592020i | \(0.798331\pi\) | |||||||
\(558\) | 0.267949 | + | 0.464102i | 0.0113432 | + | 0.0196470i | ||||
\(559\) | 9.46410 | − | 9.46410i | 0.400289 | − | 0.400289i | ||||
\(560\) | −3.46410 | + | 3.00000i | −0.146385 | + | 0.126773i | ||||
\(561\) | −40.0526 | − | 40.0526i | −1.69102 | − | 1.69102i | ||||
\(562\) | −0.0717968 | + | 0.267949i | −0.00302856 | + | 0.0113028i | ||||
\(563\) | −19.2583 | + | 5.16025i | −0.811642 | + | 0.217479i | −0.640689 | − | 0.767800i | \(-0.721351\pi\) |
−0.170953 | + | 0.985279i | \(0.554685\pi\) | |||||||
\(564\) | −6.09808 | + | 10.5622i | −0.256775 | + | 0.444748i | ||||
\(565\) | −29.3827 | + | 16.9641i | −1.23614 | + | 0.713685i | ||||
\(566\) | − | 3.80385i | − | 0.159888i | ||||||
\(567\) | −18.4641 | − | 21.3205i | −0.775419 | − | 0.895377i | ||||
\(568\) | −19.9019 | + | 19.9019i | −0.835066 | + | 0.835066i | ||||
\(569\) | −7.39230 | + | 4.26795i | −0.309902 | + | 0.178922i | −0.646882 | − | 0.762590i | \(-0.723928\pi\) |
0.336981 | + | 0.941511i | \(0.390594\pi\) | |||||||
\(570\) | −9.06218 | + | 15.6962i | −0.379573 | + | 0.657439i | ||||
\(571\) | 16.7942 | − | 4.50000i | 0.702817 | − | 0.188319i | 0.110325 | − | 0.993896i | \(-0.464811\pi\) |
0.592492 | + | 0.805576i | \(0.298144\pi\) | |||||||
\(572\) | 9.29423 | − | 5.36603i | 0.388611 | − | 0.224365i | ||||
\(573\) | 14.7321 | 0.615440 | ||||||||
\(574\) | 14.9904 | + | 7.89230i | 0.625686 | + | 0.329418i | ||||
\(575\) | 14.9282 | 0.622549 | ||||||||
\(576\) | −4.43782 | + | 2.56218i | −0.184909 | + | 0.106757i | ||||
\(577\) | −25.0263 | + | 6.70577i | −1.04186 | + | 0.279165i | −0.738883 | − | 0.673834i | \(-0.764646\pi\) |
−0.302975 | + | 0.952999i | \(0.597980\pi\) | |||||||
\(578\) | −13.8923 | + | 24.0622i | −0.577844 | + | 1.00085i | ||||
\(579\) | 15.2942 | − | 8.83013i | 0.635606 | − | 0.366968i | ||||
\(580\) | −11.6603 | + | 11.6603i | −0.484166 | + | 0.484166i | ||||
\(581\) | −0.633975 | + | 1.83013i | −0.0263017 | + | 0.0759265i | ||||
\(582\) | 14.9282i | 0.618794i | ||||||||
\(583\) | −5.36603 | + | 3.09808i | −0.222238 | + | 0.128309i | ||||
\(584\) | −6.80385 | + | 11.7846i | −0.281545 | + | 0.487651i | ||||
\(585\) | −3.00000 | + | 0.803848i | −0.124035 | + | 0.0332350i | ||||
\(586\) | 2.60770 | − | 9.73205i | 0.107723 | − | 0.402027i | ||||
\(587\) | −10.5622 | − | 10.5622i | −0.435948 | − | 0.435948i | 0.454698 | − | 0.890646i | \(-0.349747\pi\) |
−0.890646 | + | 0.454698i | \(0.849747\pi\) | |||||||
\(588\) | 10.8301 | − | 8.09808i | 0.446627 | − | 0.333959i | ||||
\(589\) | 2.80385 | − | 2.80385i | 0.115531 | − | 0.115531i | ||||
\(590\) | 9.29423 | + | 16.0981i | 0.382637 | + | 0.662747i | ||||
\(591\) | 0.0358984 | + | 0.133975i | 0.00147666 | + | 0.00551098i | ||||
\(592\) | 0.267949 | − | 0.464102i | 0.0110126 | − | 0.0190745i | ||||
\(593\) | −11.4641 | − | 3.07180i | −0.470774 | − | 0.126144i | 0.0156293 | − | 0.999878i | \(-0.495025\pi\) |
−0.486404 | + | 0.873734i | \(0.661691\pi\) | |||||||
\(594\) | 19.1962i | 0.787628i | ||||||||
\(595\) | 27.5885 | − | 13.3923i | 1.13102 | − | 0.549031i | ||||
\(596\) | −5.19615 | + | 5.19615i | −0.212843 | + | 0.212843i | ||||
\(597\) | 12.2942 | + | 21.2942i | 0.503169 | + | 0.871515i | ||||
\(598\) | 4.73205 | + | 17.6603i | 0.193508 | + | 0.722181i | ||||
\(599\) | 21.8564 | − | 37.8564i | 0.893029 | − | 1.54677i | 0.0568029 | − | 0.998385i | \(-0.481909\pi\) |
0.836226 | − | 0.548385i | \(-0.184757\pi\) | |||||||
\(600\) | −11.1962 | − | 3.00000i | −0.457081 | − | 0.122474i | ||||
\(601\) | 7.73205 | − | 7.73205i | 0.315397 | − | 0.315397i | −0.531599 | − | 0.846996i | \(-0.678409\pi\) |
0.846996 | + | 0.531599i | \(0.178409\pi\) | |||||||
\(602\) | −14.1962 | + | 2.73205i | −0.578592 | + | 0.111350i | ||||
\(603\) | −1.26795 | − | 1.26795i | −0.0516349 | − | 0.0516349i | ||||
\(604\) | −0.366025 | + | 1.36603i | −0.0148934 | + | 0.0555828i | ||||
\(605\) | 7.09808 | − | 12.2942i | 0.288578 | − | 0.499831i | ||||
\(606\) | −14.6603 | − | 8.46410i | −0.595532 | − | 0.343831i | ||||
\(607\) | −15.9737 | + | 9.22243i | −0.648353 | + | 0.374327i | −0.787825 | − | 0.615899i | \(-0.788793\pi\) |
0.139472 | + | 0.990226i | \(0.455460\pi\) | |||||||
\(608\) | 19.1506 | + | 19.1506i | 0.776661 | + | 0.776661i | ||||
\(609\) | −36.7846 | + | 31.8564i | −1.49059 | + | 1.29089i | ||||
\(610\) | − | 12.1244i | − | 0.490901i | ||||||
\(611\) | −7.73205 | − | 13.3923i | −0.312805 | − | 0.541795i | ||||
\(612\) | 4.73205 | − | 1.26795i | 0.191282 | − | 0.0512538i | ||||
\(613\) | 5.76795 | + | 3.33013i | 0.232965 | + | 0.134503i | 0.611939 | − | 0.790905i | \(-0.290390\pi\) |
−0.378974 | + | 0.925407i | \(0.623723\pi\) | |||||||
\(614\) | −11.0000 | − | 19.0526i | −0.443924 | − | 0.768899i | ||||
\(615\) | −2.36603 | − | 21.2942i | −0.0954074 | − | 0.858666i | ||||
\(616\) | −34.6865 | − | 2.49038i | −1.39756 | − | 0.100340i | ||||
\(617\) | − | 44.3205i | − | 1.78428i | −0.451763 | − | 0.892138i | \(-0.649205\pi\) | ||
0.451763 | − | 0.892138i | \(-0.350795\pi\) | |||||||
\(618\) | 4.36603 | − | 16.2942i | 0.175627 | − | 0.655450i | ||||
\(619\) | −7.22243 | + | 12.5096i | −0.290294 | + | 0.502804i | −0.973879 | − | 0.227067i | \(-0.927086\pi\) |
0.683585 | + | 0.729871i | \(0.260420\pi\) | |||||||
\(620\) | −1.09808 | − | 0.633975i | −0.0440998 | − | 0.0254610i | ||||
\(621\) | 31.5885 | + | 8.46410i | 1.26760 | + | 0.339653i | ||||
\(622\) | 1.00000 | + | 1.00000i | 0.0400963 | + | 0.0400963i | ||||
\(623\) | 15.4904 | + | 10.4904i | 0.620609 | + | 0.420288i | ||||
\(624\) | − | 4.73205i | − | 0.189434i | ||||||
\(625\) | 5.50000 | + | 9.52628i | 0.220000 | + | 0.381051i | ||||
\(626\) | −22.5885 | + | 6.05256i | −0.902816 | + | 0.241909i | ||||
\(627\) | −44.2846 | + | 11.8660i | −1.76856 | + | 0.473883i | ||||
\(628\) | 4.80385 | − | 17.9282i | 0.191694 | − | 0.715413i | ||||
\(629\) | −2.53590 | + | 2.53590i | −0.101113 | + | 0.101113i | ||||
\(630\) | 3.16987 | + | 1.09808i | 0.126291 | + | 0.0437484i | ||||
\(631\) | 0.0525589 | 0.00209234 | 0.00104617 | − | 0.999999i | \(-0.499667\pi\) | ||||
0.00104617 | + | 0.999999i | \(0.499667\pi\) | |||||||
\(632\) | −30.9904 | − | 8.30385i | −1.23273 | − | 0.330309i | ||||
\(633\) | −7.06218 | + | 12.2321i | −0.280696 | + | 0.486180i | ||||
\(634\) | −4.14359 | − | 15.4641i | −0.164563 | − | 0.614158i | ||||
\(635\) | 25.6865 | − | 14.8301i | 1.01934 | − | 0.588516i | ||||
\(636\) | − | 2.73205i | − | 0.108333i | ||||||
\(637\) | 2.02628 | + | 17.0263i | 0.0802841 | + | 0.674606i | ||||
\(638\) | 41.7128 | 1.65143 | ||||||||
\(639\) | 6.63397 | + | 1.77757i | 0.262436 | + | 0.0703195i | ||||
\(640\) | 2.59808 | − | 4.50000i | 0.102698 | − | 0.177878i | ||||
\(641\) | 9.36603 | + | 34.9545i | 0.369936 | + | 1.38062i | 0.860605 | + | 0.509273i | \(0.170086\pi\) |
−0.490669 | + | 0.871346i | \(0.663248\pi\) | |||||||
\(642\) | −37.4186 | − | 10.0263i | −1.47679 | − | 0.395706i | ||||
\(643\) | −5.36603 | − | 5.36603i | −0.211615 | − | 0.211615i | 0.593338 | − | 0.804953i | \(-0.297810\pi\) |
−0.804953 | + | 0.593338i | \(0.797810\pi\) | |||||||
\(644\) | −6.46410 | + | 18.6603i | −0.254721 | + | 0.735317i | ||||
\(645\) | 12.9282 | + | 12.9282i | 0.509048 | + | 0.509048i | ||||
\(646\) | 18.1244 | + | 31.3923i | 0.713093 | + | 1.23511i | ||||
\(647\) | 26.6147 | + | 15.3660i | 1.04633 | + | 0.604101i | 0.921621 | − | 0.388092i | \(-0.126866\pi\) |
0.124713 | + | 0.992193i | \(0.460199\pi\) | |||||||
\(648\) | −27.6962 | − | 15.9904i | −1.08801 | − | 0.628161i | ||||
\(649\) | −12.1699 | + | 45.4186i | −0.477709 | + | 1.78284i | ||||
\(650\) | 3.46410 | − | 3.46410i | 0.135873 | − | 0.135873i | ||||
\(651\) | −3.09808 | − | 2.09808i | −0.121423 | − | 0.0822301i | ||||
\(652\) | −13.8038 | −0.540600 | ||||||||
\(653\) | −4.12436 | + | 15.3923i | −0.161399 | + | 0.602347i | 0.837074 | + | 0.547090i | \(0.184265\pi\) |
−0.998472 | + | 0.0552572i | \(0.982402\pi\) | |||||||
\(654\) | −16.3923 | − | 9.46410i | −0.640990 | − | 0.370076i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 6.33013 | + | 0.964102i | 0.247150 | + | 0.0376418i | ||||
\(657\) | 3.32051 | 0.129545 | ||||||||
\(658\) | −1.19615 | + | 16.6603i | −0.0466309 | + | 0.649484i | ||||
\(659\) | 34.4641 | + | 34.4641i | 1.34253 | + | 1.34253i | 0.893533 | + | 0.448998i | \(0.148219\pi\) |
0.448998 | + | 0.893533i | \(0.351781\pi\) | |||||||
\(660\) | 7.33013 | + | 12.6962i | 0.285325 | + | 0.494197i | ||||
\(661\) | −0.232051 | − | 0.133975i | −0.00902573 | − | 0.00521101i | 0.495480 | − | 0.868619i | \(-0.334992\pi\) |
−0.504506 | + | 0.863408i | \(0.668325\pi\) | |||||||
\(662\) | 6.02628 | + | 22.4904i | 0.234218 | + | 0.874113i | ||||
\(663\) | −8.19615 | + | 30.5885i | −0.318312 | + | 1.18796i | ||||
\(664\) | 2.19615i | 0.0852272i | ||||||||
\(665\) | 1.77757 | − | 24.7583i | 0.0689311 | − | 0.960087i | ||||
\(666\) | −0.392305 | −0.0152015 | ||||||||
\(667\) | 18.3923 | − | 68.6410i | 0.712153 | − | 2.65779i | ||||
\(668\) | −2.63397 | + | 0.705771i | −0.101912 | + | 0.0273071i | ||||
\(669\) | 16.6603 | − | 4.46410i | 0.644123 | − | 0.172592i | ||||
\(670\) | −4.09808 | − | 1.09808i | −0.158322 | − | 0.0424224i | ||||
\(671\) | 21.6865 | − | 21.6865i | 0.837199 | − | 0.837199i | ||||
\(672\) | 14.3301 | − | 21.1603i | 0.552797 | − | 0.816275i | ||||
\(673\) | −26.6603 | + | 26.6603i | −1.02768 | + | 1.02768i | −0.0280713 | + | 0.999606i | \(0.508937\pi\) |
−0.999606 | + | 0.0280713i | \(0.991063\pi\) | |||||||
\(674\) | −5.40192 | − | 9.35641i | −0.208074 | − | 0.360395i | ||||
\(675\) | −2.26795 | − | 8.46410i | −0.0872934 | − | 0.325783i | ||||
\(676\) | 6.06218 | + | 3.50000i | 0.233161 | + | 0.134615i | ||||
\(677\) | 31.2846 | − | 18.0622i | 1.20237 | − | 0.694186i | 0.241285 | − | 0.970454i | \(-0.422431\pi\) |
0.961080 | + | 0.276268i | \(0.0890979\pi\) | |||||||
\(678\) | −26.7583 | + | 26.7583i | −1.02765 | + | 1.02765i | ||||
\(679\) | −8.92820 | − | 18.3923i | −0.342633 | − | 0.705832i | ||||
\(680\) | 24.5885 | − | 24.5885i | 0.942924 | − | 0.942924i | ||||
\(681\) | 15.4282 | + | 26.7224i | 0.591210 | + | 1.02401i | ||||
\(682\) | 0.830127 | + | 3.09808i | 0.0317872 | + | 0.118631i | ||||
\(683\) | −7.56218 | − | 28.2224i | −0.289359 | − | 1.07990i | −0.945595 | − | 0.325346i | \(-0.894519\pi\) |
0.656236 | − | 0.754555i | \(-0.272147\pi\) | |||||||
\(684\) | 1.02628 | − | 3.83013i | 0.0392408 | − | 0.146449i | ||||
\(685\) | 10.2679 | + | 10.2679i | 0.392318 | + | 0.392318i | ||||
\(686\) | 8.50000 | − | 16.4545i | 0.324532 | − | 0.628235i | ||||
\(687\) | −6.00000 | −0.228914 | ||||||||
\(688\) | −4.73205 | + | 2.73205i | −0.180408 | + | 0.104158i | ||||
\(689\) | 3.00000 | + | 1.73205i | 0.114291 | + | 0.0659859i | ||||
\(690\) | −24.1244 | + | 6.46410i | −0.918399 | + | 0.246084i | ||||
\(691\) | −27.1865 | − | 7.28461i | −1.03422 | − | 0.277120i | −0.298506 | − | 0.954408i | \(-0.596488\pi\) |
−0.735718 | + | 0.677288i | \(0.763155\pi\) | |||||||
\(692\) | 0.0717968i | 0.00272930i | ||||||||
\(693\) | 3.70577 | + | 7.63397i | 0.140771 | + | 0.289991i | ||||
\(694\) | 10.7583 | + | 10.7583i | 0.408381 | + | 0.408381i | ||||
\(695\) | 32.2750 | − | 18.6340i | 1.22426 | − | 0.706827i | ||||
\(696\) | −27.5885 | + | 47.7846i | −1.04574 | + | 1.81127i | ||||
\(697\) | −39.2487 | − | 17.1962i | −1.48665 | − | 0.651351i | ||||
\(698\) | −1.73205 | − | 3.00000i | −0.0655591 | − | 0.113552i | ||||
\(699\) | 11.2679i | 0.426193i | ||||||||
\(700\) | 5.19615 | − | 1.00000i | 0.196396 | − | 0.0377964i | ||||
\(701\) | 25.0526 | 0.946222 | 0.473111 | − | 0.881003i | \(-0.343131\pi\) | ||||
0.473111 | + | 0.881003i | \(0.343131\pi\) | |||||||
\(702\) | 9.29423 | − | 5.36603i | 0.350788 | − | 0.202528i | ||||
\(703\) | 0.751289 | + | 2.80385i | 0.0283354 | + | 0.105749i | ||||
\(704\) | −29.6244 | + | 7.93782i | −1.11651 | + | 0.299168i | ||||
\(705\) | 18.2942 | − | 10.5622i | 0.689001 | − | 0.397795i | ||||
\(706\) | − | 20.6603i | − | 0.777559i | ||||||
\(707\) | 23.1244 | + | 1.66025i | 0.869681 | + | 0.0624403i | ||||
\(708\) | −14.6603 | − | 14.6603i | −0.550966 | − | 0.550966i | ||||
\(709\) | 5.41154 | − | 20.1962i | 0.203235 | − | 0.758482i | −0.786746 | − | 0.617277i | \(-0.788236\pi\) |
0.989980 | − | 0.141205i | \(-0.0450977\pi\) | |||||||
\(710\) | 15.6962 | − | 4.20577i | 0.589066 | − | 0.157840i | ||||
\(711\) | 2.02628 | + | 7.56218i | 0.0759914 | + | 0.283604i | ||||
\(712\) | 20.4904 | + | 5.49038i | 0.767909 | + | 0.205761i | ||||
\(713\) | 5.46410 | 0.204632 | ||||||||
\(714\) | 25.8564 | − | 22.3923i | 0.967652 | − | 0.838011i | ||||
\(715\) | −18.5885 | −0.695169 | ||||||||
\(716\) | −8.33013 | − | 2.23205i | −0.311311 | − | 0.0834157i | ||||
\(717\) | 6.52628 | + | 3.76795i | 0.243728 | + | 0.140717i | ||||
\(718\) | 10.9019 | + | 6.29423i | 0.406856 | + | 0.234899i | ||||
\(719\) | −3.42820 | − | 0.918584i | −0.127850 | − | 0.0342574i | 0.194326 | − | 0.980937i | \(-0.437748\pi\) |
−0.322177 | + | 0.946680i | \(0.604415\pi\) | |||||||
\(720\) | 1.26795 | 0.0472537 | ||||||||
\(721\) | 4.36603 | + | 22.6865i | 0.162599 | + | 0.844891i | ||||
\(722\) | 10.3397 | 0.384805 | ||||||||
\(723\) | −34.5885 | − | 9.26795i | −1.28636 | − | 0.344679i | ||||
\(724\) | 2.83013 | + | 10.5622i | 0.105181 | + | 0.392540i | ||||
\(725\) | −18.3923 | + | 4.92820i | −0.683073 | + | 0.183029i | ||||
\(726\) | 4.09808 | − | 15.2942i | 0.152094 | − | 0.567622i | ||||
\(727\) | −3.00000 | − | 3.00000i | −0.111264 | − | 0.111264i | 0.649283 | − | 0.760547i | \(-0.275069\pi\) |
−0.760547 | + | 0.649283i | \(0.775069\pi\) | |||||||
\(728\) | 8.49038 | + | 17.4904i | 0.314674 | + | 0.648237i | ||||
\(729\) | − | 17.5885i | − | 0.651424i | ||||||
\(730\) | 6.80385 | − | 3.92820i | 0.251822 | − | 0.145389i | ||||
\(731\) | 35.3205 | − | 9.46410i | 1.30638 | − | 0.350042i | ||||
\(732\) | 3.50000 | + | 13.0622i | 0.129364 | + | 0.482792i | ||||
\(733\) | 28.0526 | − | 16.1962i | 1.03614 | − | 0.598219i | 0.117406 | − | 0.993084i | \(-0.462542\pi\) |
0.918739 | + | 0.394865i | \(0.129209\pi\) | |||||||
\(734\) | −8.87564 | −0.327606 | ||||||||
\(735\) | −23.2583 | + | 2.76795i | −0.857896 | + | 0.102097i | ||||
\(736\) | 37.3205i | 1.37565i | ||||||||
\(737\) | −5.36603 | − | 9.29423i | −0.197660 | − | 0.342357i | ||||
\(738\) | −1.70577 | − | 4.36603i | −0.0627903 | − | 0.160716i | ||||
\(739\) | −23.0263 | + | 39.8827i | −0.847035 | + | 1.46711i | 0.0368064 | + | 0.999322i | \(0.488282\pi\) |
−0.883842 | + | 0.467786i | \(0.845052\pi\) | |||||||
\(740\) | 0.803848 | − | 0.464102i | 0.0295500 | − | 0.0170607i | ||||
\(741\) | 18.1244 | + | 18.1244i | 0.665815 | + | 0.665815i | ||||
\(742\) | −1.63397 | − | 3.36603i | −0.0599851 | − | 0.123571i | ||||
\(743\) | 15.8564i | 0.581715i | 0.956766 | + | 0.290858i | \(0.0939406\pi\) | ||||
−0.956766 | + | 0.290858i | \(0.906059\pi\) | |||||||
\(744\) | −4.09808 | − | 1.09808i | −0.150243 | − | 0.0402574i | ||||
\(745\) | 12.2942 | − | 3.29423i | 0.450426 | − | 0.120691i | ||||
\(746\) | −12.8660 | − | 7.42820i | −0.471059 | − | 0.271966i | ||||
\(747\) | 0.464102 | − | 0.267949i | 0.0169806 | − | 0.00980375i | ||||
\(748\) | 29.3205 | 1.07206 | ||||||||
\(749\) | 52.0981 | − | 10.0263i | 1.90362 | − | 0.366352i | ||||
\(750\) | 16.5622 | + | 16.5622i | 0.604765 | + | 0.604765i | ||||
\(751\) | −7.79423 | + | 29.0885i | −0.284415 | + | 1.06145i | 0.664850 | + | 0.746977i | \(0.268495\pi\) |
−0.949265 | + | 0.314476i | \(0.898171\pi\) | |||||||
\(752\) | 1.63397 | + | 6.09808i | 0.0595849 | + | 0.222374i | ||||
\(753\) | −2.36603 | − | 8.83013i | −0.0862228 | − | 0.321788i | ||||
\(754\) | −11.6603 | − | 20.1962i | −0.424641 | − | 0.735500i | ||||
\(755\) | 1.73205 | − | 1.73205i | 0.0630358 | − | 0.0630358i | ||||
\(756\) | 11.5622 | + | 0.830127i | 0.420512 | + | 0.0301914i | ||||
\(757\) | 20.1962 | − | 20.1962i | 0.734042 | − | 0.734042i | −0.237376 | − | 0.971418i | \(-0.576287\pi\) |
0.971418 | + | 0.237376i | \(0.0762874\pi\) | |||||||
\(758\) | −12.6340 | + | 7.29423i | −0.458887 | + | 0.264938i | ||||
\(759\) | −54.7128 | − | 31.5885i | −1.98595 | − | 1.14659i | ||||
\(760\) | −7.28461 | − | 27.1865i | −0.264241 | − | 0.986159i | ||||
\(761\) | 12.1244 | + | 21.0000i | 0.439508 | + | 0.761249i | 0.997651 | − | 0.0684947i | \(-0.0218196\pi\) |
−0.558144 | + | 0.829744i | \(0.688486\pi\) | |||||||
\(762\) | 23.3923 | − | 23.3923i | 0.847414 | − | 0.847414i | ||||
\(763\) | 25.8564 | + | 1.85641i | 0.936065 | + | 0.0672064i | ||||
\(764\) | −5.39230 | + | 5.39230i | −0.195087 | + | 0.195087i | ||||
\(765\) | −8.19615 | − | 2.19615i | −0.296333 | − | 0.0794021i | ||||
\(766\) | 11.7942 | − | 3.16025i | 0.426143 | − | 0.114185i | ||||
\(767\) | 25.3923 | − | 6.80385i | 0.916863 | − | 0.245673i | ||||
\(768\) | 8.50000 | − | 31.7224i | 0.306717 | − | 1.14468i | ||||
\(769\) | −49.2487 | −1.77595 | −0.887977 | − | 0.459888i | \(-0.847890\pi\) | ||||
−0.887977 | + | 0.459888i | \(0.847890\pi\) | |||||||
\(770\) | 16.6244 | + | 11.2583i | 0.599100 | + | 0.405722i | ||||
\(771\) | 26.9282i | 0.969796i | ||||||||
\(772\) | −2.36603 | + | 8.83013i | −0.0851551 | + | 0.317803i | ||||
\(773\) | −0.705771 | − | 2.63397i | −0.0253848 | − | 0.0947375i | 0.952071 | − | 0.305876i | \(-0.0989494\pi\) |
−0.977456 | + | 0.211139i | \(0.932283\pi\) | |||||||
\(774\) | 3.46410 | + | 2.00000i | 0.124515 | + | 0.0718885i | ||||
\(775\) | −0.732051 | − | 1.26795i | −0.0262960 | − | 0.0455461i | ||||
\(776\) | −16.3923 | − | 16.3923i | −0.588449 | − | 0.588449i | ||||
\(777\) | 2.46410 | − | 1.19615i | 0.0883992 | − | 0.0429117i | ||||
\(778\) | −20.3205 | −0.728526 | ||||||||
\(779\) | −27.9378 | + | 20.5526i | −1.00098 | + | 0.736372i | ||||
\(780\) | 4.09808 | − | 7.09808i | 0.146735 | − | 0.254152i | ||||
\(781\) | 35.5981 | + | 20.5526i | 1.27380 | + | 0.735428i | ||||
\(782\) | −12.9282 | + | 48.2487i | −0.462312 | + | 1.72537i | ||||
\(783\) | −41.7128 | −1.49069 | ||||||||
\(784\) | 1.00000 | − | 6.92820i | 0.0357143 | − | 0.247436i | ||||
\(785\) | −22.7321 | + | 22.7321i | −0.811342 | + | 0.811342i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −16.7321 | − | 9.66025i | −0.596433 | − | 0.344351i | 0.171204 | − | 0.985236i | \(-0.445234\pi\) |
−0.767637 | + | 0.640885i | \(0.778568\pi\) | |||||||
\(788\) | −0.0621778 | − | 0.0358984i | −0.00221499 | − | 0.00127883i | ||||
\(789\) | −21.7583 | − | 37.6865i | −0.774617 | − | 1.34168i | ||||
\(790\) | 13.0981 | + | 13.0981i | 0.466009 | + | 0.466009i | ||||
\(791\) | 16.9641 | − | 48.9711i | 0.603174 | − | 1.74121i | ||||
\(792\) | 6.80385 | + | 6.80385i | 0.241764 | + | 0.241764i | ||||
\(793\) | −16.5622 | − | 4.43782i | −0.588140 | − | 0.157592i | ||||
\(794\) | 3.29423 | + | 12.2942i | 0.116908 | + | 0.436306i | ||||
\(795\) | −2.36603 | + | 4.09808i | −0.0839143 | + | 0.145344i | ||||
\(796\) | −12.2942 | − | 3.29423i | −0.435757 | − | 0.116761i | ||||
\(797\) | −20.7846 | −0.736229 | −0.368114 | − | 0.929781i | \(-0.619996\pi\) | ||||
−0.368114 | + | 0.929781i | \(0.619996\pi\) | |||||||
\(798\) | −5.23205 | − | 27.1865i | −0.185213 | − | 0.962393i | ||||
\(799\) | − | 42.2487i | − | 1.49465i | ||||||
\(800\) | 8.66025 | − | 5.00000i | 0.306186 | − | 0.176777i | ||||
\(801\) | −1.33975 | − | 5.00000i | −0.0473376 | − | 0.176666i | ||||
\(802\) | −6.66987 | + | 11.5526i | −0.235521 | + | 0.407935i | ||||
\(803\) | 19.1962 | + | 5.14359i | 0.677418 | + | 0.181513i | ||||
\(804\) | 4.73205 | 0.166887 | ||||||||
\(805\) | 25.8564 | − | 22.3923i | 0.911319 | − | 0.789225i | ||||
\(806\) | 1.26795 | − | 1.26795i | 0.0446616 | − | 0.0446616i | ||||
\(807\) | −5.50000 | + | 20.5263i | −0.193609 | + | 0.722559i | ||||
\(808\) | 25.3923 | − | 6.80385i | 0.893298 | − | 0.239359i | ||||
\(809\) | 4.00000 | − | 1.07180i | 0.140633 | − | 0.0376824i | −0.187816 | − | 0.982204i | \(-0.560141\pi\) |
0.328449 | + | 0.944522i | \(0.393474\pi\) | |||||||
\(810\) | 9.23205 | + | 15.9904i | 0.324381 | + | 0.561845i | ||||
\(811\) | − | 42.1962i | − | 1.48171i | −0.671666 | − | 0.740854i | \(-0.734421\pi\) | ||
0.671666 | − | 0.740854i | \(-0.265579\pi\) | |||||||
\(812\) | 1.80385 | − | 25.1244i | 0.0633026 | − | 0.881692i | ||||
\(813\) | 8.92820 | + | 8.92820i | 0.313126 | + | 0.313126i | ||||
\(814\) | −2.26795 | − | 0.607695i | −0.0794916 | − | 0.0212997i | ||||
\(815\) | 20.7058 | + | 11.9545i | 0.725292 | + | 0.418747i | ||||
\(816\) | 6.46410 | − | 11.1962i | 0.226289 | − | 0.391944i | ||||
\(817\) | 7.66025 | − | 28.5885i | 0.267998 | − | 1.00018i | ||||
\(818\) | − | 33.9808i | − | 1.18811i | ||||||
\(819\) | 2.66025 | − | 3.92820i | 0.0929568 | − | 0.137263i | ||||
\(820\) | 8.66025 | + | 6.92820i | 0.302429 | + | 0.241943i | ||||
\(821\) | 18.1340 | + | 31.4090i | 0.632880 | + | 1.09618i | 0.986960 | + | 0.160965i | \(0.0514607\pi\) |
−0.354080 | + | 0.935215i | \(0.615206\pi\) | |||||||
\(822\) | 14.0263 | + | 8.09808i | 0.489223 | + | 0.282453i | ||||
\(823\) | 38.7487 | − | 10.3827i | 1.35070 | − | 0.361918i | 0.490304 | − | 0.871552i | \(-0.336886\pi\) |
0.860391 | + | 0.509634i | \(0.170219\pi\) | |||||||
\(824\) | 13.0981 | + | 22.6865i | 0.456293 | + | 0.790323i | ||||
\(825\) | 16.9282i | 0.589364i | ||||||||
\(826\) | −26.8301 | − | 9.29423i | −0.933540 | − | 0.323388i | ||||
\(827\) | −13.0526 | − | 13.0526i | −0.453882 | − | 0.453882i | 0.442759 | − | 0.896641i | \(-0.354000\pi\) |
−0.896641 | + | 0.442759i | \(0.854000\pi\) | |||||||
\(828\) | 4.73205 | − | 2.73205i | 0.164450 | − | 0.0949453i | ||||
\(829\) | −28.1769 | − | 16.2679i | −0.978625 | − | 0.565009i | −0.0767701 | − | 0.997049i | \(-0.524461\pi\) |
−0.901855 | + | 0.432040i | \(0.857794\pi\) | |||||||
\(830\) | 0.633975 | − | 1.09808i | 0.0220056 | − | 0.0381148i | ||||
\(831\) | −2.79423 | + | 10.4282i | −0.0969307 | + | 0.361750i | ||||
\(832\) | 12.1244 | + | 12.1244i | 0.420336 | + | 0.420336i | ||||
\(833\) | −18.4641 | + | 43.0526i | −0.639743 | + | 1.49168i | ||||
\(834\) | 29.3923 | − | 29.3923i | 1.01777 | − | 1.01777i | ||||
\(835\) | 4.56218 | + | 1.22243i | 0.157881 | + | 0.0423040i | ||||
\(836\) | 11.8660 | − | 20.5526i | 0.410395 | − | 0.710825i | ||||
\(837\) | −0.830127 | − | 3.09808i | −0.0286934 | − | 0.107085i | ||||
\(838\) | 0.464102 | + | 0.803848i | 0.0160321 | + | 0.0277685i | ||||
\(839\) | −34.0070 | + | 34.0070i | −1.17405 | + | 1.17405i | −0.192819 | + | 0.981234i | \(0.561763\pi\) |
−0.981234 | + | 0.192819i | \(0.938237\pi\) | |||||||
\(840\) | −23.8923 | + | 11.5981i | −0.824363 | + | 0.400172i | ||||
\(841\) | 61.6410i | 2.12555i | ||||||||
\(842\) | 11.3660 | + | 3.04552i | 0.391699 | + | 0.104955i | ||||
\(843\) | −0.267949 | + | 0.464102i | −0.00922866 | + | 0.0159845i | ||||
\(844\) | −1.89230 | − | 7.06218i | −0.0651358 | − | 0.243090i | ||||
\(845\) | −6.06218 | − | 10.5000i | −0.208545 | − | 0.361211i | ||||
\(846\) | 3.26795 | − | 3.26795i | 0.112354 | − | 0.112354i | ||||
\(847\) | 4.09808 | + | 21.2942i | 0.140812 | + | 0.731678i | ||||
\(848\) | −1.00000 | − | 1.00000i | −0.0343401 | − | 0.0343401i | ||||
\(849\) | 1.90192 | − | 7.09808i | 0.0652739 | − | 0.243605i | ||||
\(850\) | 12.9282 | − | 3.46410i | 0.443434 | − | 0.118818i | ||||
\(851\) | −2.00000 | + | 3.46410i | −0.0685591 | + | 0.118748i | ||||
\(852\) | −15.6962 | + | 9.06218i | −0.537741 | + | 0.310465i | ||||
\(853\) | − | 4.75129i | − | 0.162681i | −0.996686 | − | 0.0813405i | \(-0.974080\pi\) | ||
0.996686 | − | 0.0813405i | \(-0.0259201\pi\) | |||||||
\(854\) | 12.1244 | + | 14.0000i | 0.414887 | + | 0.479070i | ||||
\(855\) | −4.85641 | + | 4.85641i | −0.166086 | + | 0.166086i | ||||
\(856\) | 52.0981 | − | 30.0788i | 1.78068 | − | 1.02807i | ||||
\(857\) | 24.1147 | − | 41.7679i | 0.823744 | − | 1.42677i | −0.0791319 | − | 0.996864i | \(-0.525215\pi\) |
0.902876 | − | 0.429902i | \(-0.141452\pi\) | |||||||
\(858\) | −20.0263 | + | 5.36603i | −0.683686 | + | 0.183193i | ||||
\(859\) | −11.9545 | + | 6.90192i | −0.407882 | + | 0.235491i | −0.689879 | − | 0.723925i | \(-0.742336\pi\) |
0.281997 | + | 0.959415i | \(0.409003\pi\) | |||||||
\(860\) | −9.46410 | −0.322723 | ||||||||
\(861\) | 24.0263 | + | 22.2224i | 0.818813 | + | 0.757338i | ||||
\(862\) | −23.7128 | −0.807662 | ||||||||
\(863\) | 7.68653 | − | 4.43782i | 0.261653 | − | 0.151065i | −0.363436 | − | 0.931619i | \(-0.618396\pi\) |
0.625088 | + | 0.780554i | \(0.285063\pi\) | |||||||
\(864\) | 21.1603 | − | 5.66987i | 0.719886 | − | 0.192893i | ||||
\(865\) | 0.0621778 | − | 0.107695i | 0.00211411 | − | 0.00366175i | ||||
\(866\) | −13.2058 | + | 7.62436i | −0.448750 | + | 0.259086i | ||||
\(867\) | −37.9545 | + | 37.9545i | −1.28900 | + | 1.28900i | ||||
\(868\) | 1.90192 | − | 0.366025i | 0.0645555 | − | 0.0124237i | ||||
\(869\) | 46.8564i | 1.58949i | ||||||||
\(870\) | 27.5885 | − | 15.9282i | 0.935336 | − | 0.540017i | ||||
\(871\) | −3.00000 | + | 5.19615i | −0.101651 | + | 0.176065i | ||||
\(872\) | 28.3923 | − | 7.60770i | 0.961485 | − | 0.257629i | ||||
\(873\) | −1.46410 | + | 5.46410i | −0.0495523 | + | 0.184932i | ||||
\(874\) | 28.5885 | + | 28.5885i | 0.967019 | + | 0.967019i | ||||
\(875\) | −30.3109 | − | 10.5000i | −1.02470 | − | 0.354965i | ||||
\(876\) | −6.19615 | + | 6.19615i | −0.209349 | + | 0.209349i | ||||
\(877\) | −2.42820 | − | 4.20577i | −0.0819946 | − | 0.142019i | 0.822112 | − | 0.569326i | \(-0.192796\pi\) |
−0.904107 | + | 0.427307i | \(0.859462\pi\) | |||||||
\(878\) | −1.17949 | − | 4.40192i | −0.0398059 | − | 0.148558i | ||||
\(879\) | 9.73205 | − | 16.8564i | 0.328254 | − | 0.568552i | ||||
\(880\) | 7.33013 | + | 1.96410i | 0.247099 | + | 0.0662099i | ||||
\(881\) | 35.9282i | 1.21045i | 0.796054 | + | 0.605226i | \(0.206917\pi\) | ||||
−0.796054 | + | 0.605226i | \(0.793083\pi\) | |||||||
\(882\) | −4.75833 | + | 1.90192i | −0.160221 | + | 0.0640411i | ||||
\(883\) | −3.53590 | + | 3.53590i | −0.118992 | + | 0.118992i | −0.764096 | − | 0.645103i | \(-0.776814\pi\) |
0.645103 | + | 0.764096i | \(0.276814\pi\) | |||||||
\(884\) | −8.19615 | − | 14.1962i | −0.275666 | − | 0.477468i | ||||
\(885\) | 9.29423 | + | 34.6865i | 0.312422 | + | 1.16598i | ||||
\(886\) | 10.9282 | − | 18.9282i | 0.367140 | − | 0.635905i | ||||
\(887\) | −10.4282 | − | 2.79423i | −0.350145 | − | 0.0938210i | 0.0794599 | − | 0.996838i | \(-0.474680\pi\) |
−0.429605 | + | 0.903017i | \(0.641347\pi\) | |||||||
\(888\) | 2.19615 | − | 2.19615i | 0.0736980 | − | 0.0736980i | ||||
\(889\) | −14.8301 | + | 42.8109i | −0.497386 | + | 1.43583i | ||||
\(890\) | −8.66025 | − | 8.66025i | −0.290292 | − | 0.290292i | ||||
\(891\) | −12.0885 | + | 45.1147i | −0.404979 | + | 1.51140i | ||||
\(892\) | −4.46410 | + | 7.73205i | −0.149469 | + | 0.258888i | ||||
\(893\) | −29.6147 | − | 17.0981i | −0.991019 | − | 0.572165i | ||||
\(894\) | 12.2942 | − | 7.09808i | 0.411181 | − | 0.237395i | ||||
\(895\) | 10.5622 | + | 10.5622i | 0.353055 | + | 0.353055i | ||||
\(896\) | 1.50000 | + | 7.79423i | 0.0501115 | + | 0.260387i | ||||
\(897\) | 35.3205i | 1.17932i | ||||||||
\(898\) | −20.4282 | − | 35.3827i | −0.681698 | − | 1.18074i | ||||
\(899\) | −6.73205 | + | 1.80385i | −0.224526 | + | 0.0601617i | ||||
\(900\) | −1.26795 | − | 0.732051i | −0.0422650 | − | 0.0244017i | ||||
\(901\) | 4.73205 | + | 8.19615i | 0.157647 | + | 0.273053i | ||||
\(902\) | −3.09808 | − | 27.8827i | −0.103155 | − | 0.928392i | ||||
\(903\) | −27.8564 | − | 2.00000i | −0.927003 | − | 0.0665558i | ||||
\(904\) | − | 58.7654i | − | 1.95451i | ||||||
\(905\) | 4.90192 | − | 18.2942i | 0.162945 | − | 0.608121i | ||||
\(906\) | 1.36603 | − | 2.36603i | 0.0453832 | − | 0.0786059i | ||||
\(907\) | −13.2224 | − | 7.63397i | −0.439044 | − | 0.253482i | 0.264148 | − | 0.964482i | \(-0.414909\pi\) |
−0.703192 | + | 0.711000i | \(0.748243\pi\) | |||||||
\(908\) | −15.4282 | − | 4.13397i | −0.512003 | − | 0.137191i | ||||
\(909\) | −4.53590 | − | 4.53590i | −0.150446 | − | 0.150446i | ||||
\(910\) | 0.803848 | − | 11.1962i | 0.0266473 | − | 0.371149i | ||||
\(911\) | − | 7.85641i | − | 0.260294i | −0.991495 | − | 0.130147i | \(-0.958455\pi\) | ||
0.991495 | − | 0.130147i | \(-0.0415450\pi\) | |||||||
\(912\) | −5.23205 | − | 9.06218i | −0.173251 | − | 0.300079i | ||||
\(913\) | 3.09808 | − | 0.830127i | 0.102531 | − | 0.0274732i | ||||
\(914\) | 10.7321 | − | 2.87564i | 0.354985 | − | 0.0951179i | ||||
\(915\) | 6.06218 | − | 22.6244i | 0.200409 | − | 0.747938i | ||||
\(916\) | 2.19615 | − | 2.19615i | 0.0725629 | − | 0.0725629i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 29.3205 | 0.967721 | ||||||||
\(919\) | 20.4282 | + | 5.47372i | 0.673864 | + | 0.180561i | 0.579495 | − | 0.814976i | \(-0.303250\pi\) |
0.0943694 | + | 0.995537i | \(0.469917\pi\) | |||||||
\(920\) | 19.3923 | − | 33.5885i | 0.639345 | − | 1.10738i | ||||
\(921\) | −11.0000 | − | 41.0526i | −0.362462 | − | 1.35273i | ||||
\(922\) | 9.01666 | − | 5.20577i | 0.296948 | − | 0.171443i | ||||
\(923\) | − | 22.9808i | − | 0.756421i | ||||||
\(924\) | −21.1603 | − | 7.33013i | −0.696121 | − | 0.241143i | ||||
\(925\) | 1.07180 | 0.0352405 | ||||||||
\(926\) | −5.86603 | − | 1.57180i | −0.192770 | − | 0.0516524i | ||||
\(927\) | 3.19615 | − | 5.53590i | 0.104975 | − | 0.181823i | ||||
\(928\) | −12.3205 | − | 45.9808i | −0.404440 | − | 1.50939i | ||||
\(929\) | 0.562178 | + | 0.150635i | 0.0184445 | + | 0.00494218i | 0.268029 | − | 0.963411i | \(-0.413628\pi\) |
−0.249585 | + | 0.968353i | \(0.580294\pi\) | |||||||
\(930\) | 1.73205 | + | 1.73205i | 0.0567962 | + | 0.0567962i | ||||
\(931\) | 22.7058 | + | 30.3660i | 0.744152 | + | 0.995206i | ||||
\(932\) | −4.12436 | − | 4.12436i | −0.135098 | − | 0.135098i | ||||
\(933\) | 1.36603 | + | 2.36603i | 0.0447217 | + | 0.0774602i | ||||
\(934\) | 5.19615 | + | 3.00000i | 0.170023 | + | 0.0981630i | ||||
\(935\) | −43.9808 | − | 25.3923i | −1.43832 | − | 0.830417i | ||||
\(936\) | 1.39230 | − | 5.19615i | 0.0455089 | − | 0.169842i | ||||
\(937\) | 23.4641 | − | 23.4641i | 0.766539 | − | 0.766539i | −0.210957 | − | 0.977495i | \(-0.567658\pi\) |
0.977495 | + | 0.210957i | \(0.0676579\pi\) | |||||||
\(938\) | 5.83013 | − | 2.83013i | 0.190360 | − | 0.0924069i | ||||
\(939\) | −45.1769 | −1.47429 | ||||||||
\(940\) | −2.83013 | + | 10.5622i | −0.0923086 | + | 0.344500i | ||||
\(941\) | −15.9904 | − | 9.23205i | −0.521272 | − | 0.300956i | 0.216183 | − | 0.976353i | \(-0.430639\pi\) |
−0.737455 | + | 0.675397i | \(0.763972\pi\) | |||||||
\(942\) | −17.9282 | + | 31.0526i | −0.584132 | + | 1.01175i | ||||
\(943\) | −47.2487 | − | 7.19615i | −1.53863 | − | 0.234339i | ||||
\(944\) | −10.7321 | −0.349299 | ||||||||
\(945\) | −16.6244 | − | 11.2583i | −0.540790 | − | 0.366234i | ||||
\(946\) | 16.9282 | + | 16.9282i | 0.550383 | + | 0.550383i | ||||
\(947\) | −18.6603 | − | 32.3205i | −0.606377 | − | 1.05028i | −0.991832 | − | 0.127549i | \(-0.959289\pi\) |
0.385455 | − | 0.922726i | \(-0.374044\pi\) | |||||||
\(948\) | −17.8923 | − | 10.3301i | −0.581115 | − | 0.335507i | ||||
\(949\) | −2.87564 | − | 10.7321i | −0.0933474 | − | 0.348377i | ||||
\(950\) | 2.80385 | − | 10.4641i | 0.0909688 | − | 0.339500i | ||||
\(951\) | − | 30.9282i | − | 1.00292i | ||||||
\(952\) | −3.80385 | + | 52.9808i | −0.123283 | + | 1.71712i | ||||
\(953\) | −2.28719 | −0.0740893 | −0.0370446 | − | 0.999314i | \(-0.511794\pi\) | ||||
−0.0370446 | + | 0.999314i | \(0.511794\pi\) | |||||||
\(954\) | −0.267949 | + | 1.00000i | −0.00867518 | + | 0.0323762i | ||||
\(955\) | 12.7583 | − | 3.41858i | 0.412850 | − | 0.110623i | ||||
\(956\) | −3.76795 | + | 1.00962i | −0.121864 | + | 0.0326534i | ||||
\(957\) | 77.8372 | + | 20.8564i | 2.51612 | + | 0.674192i | ||||
\(958\) | −20.7583 | + | 20.7583i | −0.670671 | + | 0.670671i | ||||
\(959\) | −22.1244 | − | 1.58846i | −0.714433 | − | 0.0512940i | ||||
\(960\) | −16.5622 | + | 16.5622i | −0.534542 | + | 0.534542i | ||||
\(961\) | 15.2321 | + | 26.3827i | 0.491356 | + | 0.851054i | ||||
\(962\) | 0.339746 | + | 1.26795i | 0.0109538 | + | 0.0408803i | ||||
\(963\) | −12.7128 | − | 7.33975i | −0.409665 | − | 0.236520i | ||||
\(964\) | 16.0526 | − | 9.26795i | 0.517018 | − | 0.298501i | ||||
\(965\) | 11.1962 | − | 11.1962i | 0.360417 | − | 0.360417i | ||||
\(966\) | 21.3923 | − | 31.5885i | 0.688286 | − | 1.01634i | ||||
\(967\) | 23.1506 | − | 23.1506i | 0.744474 | − | 0.744474i | −0.228961 | − | 0.973436i | \(-0.573533\pi\) |
0.973436 | + | 0.228961i | \(0.0735329\pi\) | |||||||
\(968\) | 12.2942 | + | 21.2942i | 0.395151 | + | 0.684422i | ||||
\(969\) | 18.1244 | + | 67.6410i | 0.582238 | + | 2.17294i | ||||
\(970\) | 3.46410 | + | 12.9282i | 0.111226 | + | 0.415100i | ||||
\(971\) | 2.22243 | − | 8.29423i | 0.0713212 | − | 0.266174i | −0.921053 | − | 0.389438i | \(-0.872669\pi\) |
0.992374 | + | 0.123263i | \(0.0393360\pi\) | |||||||
\(972\) | −5.26795 | − | 5.26795i | −0.168970 | − | 0.168970i | ||||
\(973\) | −18.6340 | + | 53.7917i | −0.597378 | + | 1.72448i | ||||
\(974\) | −4.05256 | −0.129852 | ||||||||
\(975\) | 8.19615 | − | 4.73205i | 0.262487 | − | 0.151547i | ||||
\(976\) | 6.06218 | + | 3.50000i | 0.194046 | + | 0.112032i | ||||
\(977\) | −17.0981 | + | 4.58142i | −0.547016 | + | 0.146572i | −0.521735 | − | 0.853108i | \(-0.674715\pi\) |
−0.0252814 | + | 0.999680i | \(0.508048\pi\) | |||||||
\(978\) | 25.7583 | + | 6.90192i | 0.823661 | + | 0.220699i | ||||
\(979\) | − | 30.9808i | − | 0.990149i | ||||||
\(980\) | 7.50000 | − | 9.52628i | 0.239579 | − | 0.304306i | ||||
\(981\) | −5.07180 | − | 5.07180i | −0.161930 | − | 0.161930i | ||||
\(982\) | −4.43782 | + | 2.56218i | −0.141617 | + | 0.0817624i | ||||
\(983\) | −1.19615 | + | 2.07180i | −0.0381513 | + | 0.0660801i | −0.884471 | − | 0.466596i | \(-0.845480\pi\) |
0.846319 | + | 0.532676i | \(0.178814\pi\) | |||||||
\(984\) | 33.9904 | + | 14.8923i | 1.08357 | + | 0.474749i | ||||
\(985\) | 0.0621778 | + | 0.107695i | 0.00198115 | + | 0.00343145i | ||||
\(986\) | − | 63.7128i | − | 2.02903i | ||||||
\(987\) | −10.5622 | + | 30.4904i | −0.336198 | + | 0.970520i | ||||
\(988\) | −13.2679 | −0.422110 | ||||||||
\(989\) | 35.3205 | − | 20.3923i | 1.12313 | − | 0.648438i | ||||
\(990\) | −1.43782 | − | 5.36603i | −0.0456970 | − | 0.170543i | ||||
\(991\) | 38.0885 | − | 10.2058i | 1.20992 | − | 0.324197i | 0.403189 | − | 0.915117i | \(-0.367902\pi\) |
0.806730 | + | 0.590920i | \(0.201235\pi\) | |||||||
\(992\) | 3.16987 | − | 1.83013i | 0.100644 | − | 0.0581066i | ||||
\(993\) | 44.9808i | 1.42742i | ||||||||
\(994\) | −13.9186 | + | 20.5526i | −0.441471 | + | 0.651888i | ||||
\(995\) | 15.5885 | + | 15.5885i | 0.494187 | + | 0.494187i | ||||
\(996\) | −0.366025 | + | 1.36603i | −0.0115980 | + | 0.0432842i | ||||
\(997\) | 3.29423 | − | 0.882686i | 0.104329 | − | 0.0279549i | −0.206277 | − | 0.978494i | \(-0.566135\pi\) |
0.310606 | + | 0.950539i | \(0.399468\pi\) | |||||||
\(998\) | 3.50962 | + | 13.0981i | 0.111095 | + | 0.414612i | ||||
\(999\) | 2.26795 | + | 0.607695i | 0.0717547 | + | 0.0192266i |
(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 | 287.2.r.b.214.1 | yes | 4 | |
7.2 | even | 3 | 287.2.r.a.9.1 | ✓ | 4 | ||
41.32 | even | 4 | 287.2.r.a.32.1 | yes | 4 | ||
287.114 | even | 12 | inner | 287.2.r.b.114.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.r.a.9.1 | ✓ | 4 | 7.2 | even | 3 | ||
287.2.r.a.32.1 | yes | 4 | 41.32 | even | 4 | ||
287.2.r.b.114.1 | yes | 4 | 287.114 | even | 12 | inner | |
287.2.r.b.214.1 | yes | 4 | 1.1 | even | 1 | trivial |