Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,3,Mod(91,240)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(240, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.91");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bn (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53952634465\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 91.19 | ||
Character | \(\chi\) | \(=\) | 240.91 |
Dual form | 240.3.bn.a.211.19 |
$q$-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 \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.405730 | − | 1.95841i | 0.202865 | − | 0.979207i | ||||
\(3\) | 1.22474 | + | 1.22474i | 0.408248 | + | 0.408248i | ||||
\(4\) | −3.67077 | − | 1.58918i | −0.917691 | − | 0.397294i | ||||
\(5\) | 1.58114 | + | 1.58114i | 0.316228 | + | 0.316228i | ||||
\(6\) | 2.89547 | − | 1.90164i | 0.482579 | − | 0.316940i | ||||
\(7\) | 0.712173 | 0.101739 | 0.0508695 | − | 0.998705i | \(-0.483801\pi\) | ||||
0.0508695 | + | 0.998705i | \(0.483801\pi\) | |||||||
\(8\) | −4.60160 | + | 6.54410i | −0.575200 | + | 0.818012i | ||||
\(9\) | 3.00000i | 0.333333i | ||||||||
\(10\) | 3.73804 | − | 2.45501i | 0.373804 | − | 0.245501i | ||||
\(11\) | 14.0558 | − | 14.0558i | 1.27780 | − | 1.27780i | 0.335905 | − | 0.941896i | \(-0.390958\pi\) |
0.941896 | − | 0.335905i | \(-0.109042\pi\) | |||||||
\(12\) | −2.54942 | − | 6.44209i | −0.212451 | − | 0.536841i | ||||
\(13\) | 17.1589 | − | 17.1589i | 1.31992 | − | 1.31992i | 0.406076 | − | 0.913839i | \(-0.366897\pi\) |
0.913839 | − | 0.406076i | \(-0.133103\pi\) | |||||||
\(14\) | 0.288950 | − | 1.39473i | 0.0206393 | − | 0.0996235i | ||||
\(15\) | 3.87298i | 0.258199i | ||||||||
\(16\) | 10.9490 | + | 11.6670i | 0.684315 | + | 0.729186i | ||||
\(17\) | −7.75861 | −0.456389 | −0.228195 | − | 0.973616i | \(-0.573282\pi\) | ||||
−0.228195 | + | 0.973616i | \(0.573282\pi\) | |||||||
\(18\) | 5.87524 | + | 1.21719i | 0.326402 | + | 0.0676217i | ||||
\(19\) | 4.72770 | + | 4.72770i | 0.248826 | + | 0.248826i | 0.820489 | − | 0.571663i | \(-0.193701\pi\) |
−0.571663 | + | 0.820489i | \(0.693701\pi\) | |||||||
\(20\) | −3.29128 | − | 8.31670i | −0.164564 | − | 0.415835i | ||||
\(21\) | 0.872230 | + | 0.872230i | 0.0415348 | + | 0.0415348i | ||||
\(22\) | −21.8242 | − | 33.2300i | −0.992010 | − | 1.51045i | ||||
\(23\) | 12.5543 | 0.545841 | 0.272920 | − | 0.962037i | \(-0.412010\pi\) | ||||
0.272920 | + | 0.962037i | \(0.412010\pi\) | |||||||
\(24\) | −13.6506 | + | 2.37906i | −0.568777 | + | 0.0991276i | ||||
\(25\) | 5.00000i | 0.200000i | ||||||||
\(26\) | −26.6423 | − | 40.5661i | −1.02470 | − | 1.56023i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | −2.61422 | − | 1.13177i | −0.0933650 | − | 0.0404203i | ||||
\(29\) | −5.44794 | + | 5.44794i | −0.187860 | + | 0.187860i | −0.794770 | − | 0.606910i | \(-0.792409\pi\) |
0.606910 | + | 0.794770i | \(0.292409\pi\) | |||||||
\(30\) | 7.58490 | + | 1.57139i | 0.252830 | + | 0.0523796i | ||||
\(31\) | 21.7832i | 0.702683i | 0.936247 | + | 0.351341i | \(0.114274\pi\) | ||||
−0.936247 | + | 0.351341i | \(0.885726\pi\) | |||||||
\(32\) | 27.2911 | − | 16.7091i | 0.852848 | − | 0.522159i | ||||
\(33\) | 34.4296 | 1.04332 | ||||||||
\(34\) | −3.14791 | + | 15.1946i | −0.0925854 | + | 0.446899i | ||||
\(35\) | 1.12604 | + | 1.12604i | 0.0321727 | + | 0.0321727i | ||||
\(36\) | 4.76753 | − | 11.0123i | 0.132431 | − | 0.305897i | ||||
\(37\) | 4.04870 | + | 4.04870i | 0.109424 | + | 0.109424i | 0.759699 | − | 0.650275i | \(-0.225346\pi\) |
−0.650275 | + | 0.759699i | \(0.725346\pi\) | |||||||
\(38\) | 11.1770 | − | 7.34062i | 0.294131 | − | 0.193174i | ||||
\(39\) | 42.0305 | 1.07771 | ||||||||
\(40\) | −17.6229 | + | 3.07136i | −0.440573 | + | 0.0767839i | ||||
\(41\) | − | 59.9360i | − | 1.46185i | −0.682456 | − | 0.730927i | \(-0.739088\pi\) | ||
0.682456 | − | 0.730927i | \(-0.260912\pi\) | |||||||
\(42\) | 2.06208 | − | 1.35430i | 0.0490971 | − | 0.0322452i | ||||
\(43\) | −57.7031 | + | 57.7031i | −1.34193 | + | 1.34193i | −0.447798 | + | 0.894135i | \(0.647792\pi\) |
−0.894135 | + | 0.447798i | \(0.852208\pi\) | |||||||
\(44\) | −73.9327 | + | 29.2584i | −1.68029 | + | 0.664965i | ||||
\(45\) | −4.74342 | + | 4.74342i | −0.105409 | + | 0.105409i | ||||
\(46\) | 5.09368 | − | 24.5866i | 0.110732 | − | 0.534491i | ||||
\(47\) | − | 0.267084i | − | 0.00568263i | −0.999996 | − | 0.00284132i | \(-0.999096\pi\) | ||
0.999996 | − | 0.00284132i | \(-0.000904420\pi\) | |||||||
\(48\) | −0.879295 | + | 27.6989i | −0.0183186 | + | 0.577060i | ||||
\(49\) | −48.4928 | −0.989649 | ||||||||
\(50\) | 9.79207 | + | 2.02865i | 0.195841 | + | 0.0405730i | ||||
\(51\) | −9.50232 | − | 9.50232i | −0.186320 | − | 0.186320i | ||||
\(52\) | −90.2548 | + | 35.7178i | −1.73567 | + | 0.686881i | ||||
\(53\) | −20.9268 | − | 20.9268i | −0.394846 | − | 0.394846i | 0.481565 | − | 0.876411i | \(-0.340069\pi\) |
−0.876411 | + | 0.481565i | \(0.840069\pi\) | |||||||
\(54\) | 5.70492 | + | 8.68642i | 0.105647 | + | 0.160860i | ||||
\(55\) | 44.4484 | 0.808152 | ||||||||
\(56\) | −3.27714 | + | 4.66053i | −0.0585203 | + | 0.0832238i | ||||
\(57\) | 11.5805i | 0.203166i | ||||||||
\(58\) | 8.45892 | + | 12.8797i | 0.145843 | + | 0.222064i | ||||
\(59\) | −12.9641 | + | 12.9641i | −0.219731 | + | 0.219731i | −0.808385 | − | 0.588654i | \(-0.799658\pi\) |
0.588654 | + | 0.808385i | \(0.299658\pi\) | |||||||
\(60\) | 6.15485 | − | 14.2168i | 0.102581 | − | 0.236947i | ||||
\(61\) | −32.4174 | + | 32.4174i | −0.531433 | + | 0.531433i | −0.920999 | − | 0.389565i | \(-0.872625\pi\) |
0.389565 | + | 0.920999i | \(0.372625\pi\) | |||||||
\(62\) | 42.6605 | + | 8.83809i | 0.688072 | + | 0.142550i | ||||
\(63\) | 2.13652i | 0.0339130i | ||||||||
\(64\) | −21.6505 | − | 60.2267i | −0.338289 | − | 0.941042i | ||||
\(65\) | 54.2612 | 0.834788 | ||||||||
\(66\) | 13.9691 | − | 67.4273i | 0.211653 | − | 1.02163i | ||||
\(67\) | 55.3331 | + | 55.3331i | 0.825867 | + | 0.825867i | 0.986942 | − | 0.161075i | \(-0.0514960\pi\) |
−0.161075 | + | 0.986942i | \(0.551496\pi\) | |||||||
\(68\) | 28.4801 | + | 12.3298i | 0.418824 | + | 0.181321i | ||||
\(69\) | 15.3759 | + | 15.3759i | 0.222839 | + | 0.222839i | ||||
\(70\) | 2.66213 | − | 1.74839i | 0.0380304 | − | 0.0249770i | ||||
\(71\) | 106.273 | 1.49681 | 0.748403 | − | 0.663245i | \(-0.230821\pi\) | ||||
0.748403 | + | 0.663245i | \(0.230821\pi\) | |||||||
\(72\) | −19.6323 | − | 13.8048i | −0.272671 | − | 0.191733i | ||||
\(73\) | 84.4739i | 1.15718i | 0.815620 | + | 0.578588i | \(0.196396\pi\) | ||||
−0.815620 | + | 0.578588i | \(0.803604\pi\) | |||||||
\(74\) | 9.57170 | − | 6.28634i | 0.129347 | − | 0.0849506i | ||||
\(75\) | −6.12372 | + | 6.12372i | −0.0816497 | + | 0.0816497i | ||||
\(76\) | −9.84113 | − | 24.8674i | −0.129489 | − | 0.327203i | ||||
\(77\) | 10.0102 | − | 10.0102i | 0.130002 | − | 0.130002i | ||||
\(78\) | 17.0531 | − | 82.3132i | 0.218629 | − | 1.05530i | ||||
\(79\) | 17.9978i | 0.227820i | 0.993491 | + | 0.113910i | \(0.0363376\pi\) | ||||
−0.993491 | + | 0.113910i | \(0.963662\pi\) | |||||||
\(80\) | −1.13516 | + | 35.7591i | −0.0141896 | + | 0.446988i | ||||
\(81\) | −9.00000 | −0.111111 | ||||||||
\(82\) | −117.379 | − | 24.3178i | −1.43146 | − | 0.296559i | ||||
\(83\) | −0.0906551 | − | 0.0906551i | −0.00109223 | − | 0.00109223i | 0.706560 | − | 0.707653i | \(-0.250246\pi\) |
−0.707653 | + | 0.706560i | \(0.750246\pi\) | |||||||
\(84\) | −1.81563 | − | 4.58788i | −0.0216146 | − | 0.0546176i | ||||
\(85\) | −12.2674 | − | 12.2674i | −0.144323 | − | 0.144323i | ||||
\(86\) | 89.5946 | + | 136.418i | 1.04180 | + | 1.58626i | ||||
\(87\) | −13.3447 | −0.153387 | ||||||||
\(88\) | 27.3034 | + | 156.662i | 0.310265 | + | 1.78025i | ||||
\(89\) | − | 84.9533i | − | 0.954532i | −0.878759 | − | 0.477266i | \(-0.841628\pi\) | ||
0.878759 | − | 0.477266i | \(-0.158372\pi\) | |||||||
\(90\) | 7.36502 | + | 11.2141i | 0.0818336 | + | 0.124601i | ||||
\(91\) | 12.2201 | − | 12.2201i | 0.134287 | − | 0.134287i | ||||
\(92\) | −46.0840 | − | 19.9510i | −0.500913 | − | 0.216859i | ||||
\(93\) | −26.6788 | + | 26.6788i | −0.286869 | + | 0.286869i | ||||
\(94\) | −0.523060 | − | 0.108364i | −0.00556447 | − | 0.00115281i | ||||
\(95\) | 14.9503i | 0.157372i | ||||||||
\(96\) | 53.8891 | + | 12.9603i | 0.561344 | + | 0.135003i | ||||
\(97\) | −174.548 | −1.79947 | −0.899733 | − | 0.436440i | \(-0.856239\pi\) | ||||
−0.899733 | + | 0.436440i | \(0.856239\pi\) | |||||||
\(98\) | −19.6750 | + | 94.9690i | −0.200765 | + | 0.969071i | ||||
\(99\) | 42.1674 | + | 42.1674i | 0.425934 | + | 0.425934i | ||||
\(100\) | 7.94588 | − | 18.3538i | 0.0794588 | − | 0.183538i | ||||
\(101\) | 15.2996 | + | 15.2996i | 0.151481 | + | 0.151481i | 0.778779 | − | 0.627298i | \(-0.215839\pi\) |
−0.627298 | + | 0.778779i | \(0.715839\pi\) | |||||||
\(102\) | −22.4649 | + | 14.7541i | −0.220244 | + | 0.144648i | ||||
\(103\) | 84.2191 | 0.817661 | 0.408831 | − | 0.912610i | \(-0.365937\pi\) | ||||
0.408831 | + | 0.912610i | \(0.365937\pi\) | |||||||
\(104\) | 33.3311 | + | 191.248i | 0.320491 | + | 1.83892i | ||||
\(105\) | 2.75823i | 0.0262689i | ||||||||
\(106\) | −49.4741 | + | 32.4928i | −0.466736 | + | 0.306535i | ||||
\(107\) | −81.3788 | + | 81.3788i | −0.760549 | + | 0.760549i | −0.976422 | − | 0.215872i | \(-0.930741\pi\) |
0.215872 | + | 0.976422i | \(0.430741\pi\) | |||||||
\(108\) | 19.3263 | − | 7.64825i | 0.178947 | − | 0.0708171i | ||||
\(109\) | 115.221 | − | 115.221i | 1.05707 | − | 1.05707i | 0.0587998 | − | 0.998270i | \(-0.481273\pi\) |
0.998270 | − | 0.0587998i | \(-0.0187274\pi\) | |||||||
\(110\) | 18.0341 | − | 87.0483i | 0.163946 | − | 0.791348i | ||||
\(111\) | 9.91724i | 0.0893445i | ||||||||
\(112\) | 7.79761 | + | 8.30891i | 0.0696215 | + | 0.0741867i | ||||
\(113\) | −184.682 | −1.63435 | −0.817177 | − | 0.576387i | \(-0.804462\pi\) | ||||
−0.817177 | + | 0.576387i | \(0.804462\pi\) | |||||||
\(114\) | 22.6793 | + | 4.69854i | 0.198941 | + | 0.0412153i | ||||
\(115\) | 19.8501 | + | 19.8501i | 0.172610 | + | 0.172610i | ||||
\(116\) | 28.6558 | − | 11.3404i | 0.247033 | − | 0.0977618i | ||||
\(117\) | 51.4767 | + | 51.4767i | 0.439972 | + | 0.439972i | ||||
\(118\) | 20.1292 | + | 30.6491i | 0.170586 | + | 0.259738i | ||||
\(119\) | −5.52548 | −0.0464326 | ||||||||
\(120\) | −25.3452 | − | 17.8219i | −0.211210 | − | 0.148516i | ||||
\(121\) | − | 274.132i | − | 2.26555i | ||||||
\(122\) | 50.3340 | + | 76.6395i | 0.412574 | + | 0.628192i | ||||
\(123\) | 73.4063 | − | 73.4063i | 0.596799 | − | 0.596799i | ||||
\(124\) | 34.6173 | − | 79.9609i | 0.279172 | − | 0.644846i | ||||
\(125\) | −7.90569 | + | 7.90569i | −0.0632456 | + | 0.0632456i | ||||
\(126\) | 4.18419 | + | 0.866851i | 0.0332078 | + | 0.00687977i | ||||
\(127\) | 216.049i | 1.70117i | 0.525834 | + | 0.850587i | \(0.323753\pi\) | ||||
−0.525834 | + | 0.850587i | \(0.676247\pi\) | |||||||
\(128\) | −126.733 | + | 17.9648i | −0.990102 | + | 0.140350i | ||||
\(129\) | −141.343 | −1.09568 | ||||||||
\(130\) | 22.0154 | − | 106.266i | 0.169349 | − | 0.817430i | ||||
\(131\) | 37.8658 | + | 37.8658i | 0.289052 | + | 0.289052i | 0.836705 | − | 0.547653i | \(-0.184479\pi\) |
−0.547653 | + | 0.836705i | \(0.684479\pi\) | |||||||
\(132\) | −126.383 | − | 54.7146i | −0.957446 | − | 0.414505i | ||||
\(133\) | 3.36694 | + | 3.36694i | 0.0253153 | + | 0.0253153i | ||||
\(134\) | 130.815 | − | 85.9148i | 0.976235 | − | 0.641155i | ||||
\(135\) | −11.6190 | −0.0860663 | ||||||||
\(136\) | 35.7021 | − | 50.7731i | 0.262515 | − | 0.373332i | ||||
\(137\) | 13.6374i | 0.0995429i | 0.998761 | + | 0.0497715i | \(0.0158493\pi\) | ||||
−0.998761 | + | 0.0497715i | \(0.984151\pi\) | |||||||
\(138\) | 36.3507 | − | 23.8738i | 0.263411 | − | 0.172999i | ||||
\(139\) | −96.9009 | + | 96.9009i | −0.697129 | + | 0.697129i | −0.963790 | − | 0.266661i | \(-0.914079\pi\) |
0.266661 | + | 0.963790i | \(0.414079\pi\) | |||||||
\(140\) | −2.34396 | − | 5.92293i | −0.0167426 | − | 0.0423066i | ||||
\(141\) | 0.327109 | − | 0.327109i | 0.00231993 | − | 0.00231993i | ||||
\(142\) | 43.1183 | − | 208.127i | 0.303650 | − | 1.46568i | ||||
\(143\) | − | 482.364i | − | 3.37318i | ||||||
\(144\) | −35.0009 | + | 32.8471i | −0.243062 | + | 0.228105i | ||||
\(145\) | −17.2279 | −0.118813 | ||||||||
\(146\) | 165.435 | + | 34.2736i | 1.13312 | + | 0.234751i | ||||
\(147\) | −59.3913 | − | 59.3913i | −0.404023 | − | 0.404023i | ||||
\(148\) | −8.42773 | − | 21.2959i | −0.0569441 | − | 0.143891i | ||||
\(149\) | −118.690 | − | 118.690i | −0.796575 | − | 0.796575i | 0.185979 | − | 0.982554i | \(-0.440454\pi\) |
−0.982554 | + | 0.185979i | \(0.940454\pi\) | |||||||
\(150\) | 9.50820 | + | 14.4774i | 0.0633880 | + | 0.0965158i | ||||
\(151\) | 24.8100 | 0.164304 | 0.0821522 | − | 0.996620i | \(-0.473821\pi\) | ||||
0.0821522 | + | 0.996620i | \(0.473821\pi\) | |||||||
\(152\) | −52.6935 | + | 9.18354i | −0.346668 | + | 0.0604180i | ||||
\(153\) | − | 23.2758i | − | 0.152130i | ||||||
\(154\) | −15.5426 | − | 23.6655i | −0.100926 | − | 0.153672i | ||||
\(155\) | −34.4422 | + | 34.4422i | −0.222208 | + | 0.222208i | ||||
\(156\) | −154.284 | − | 66.7939i | −0.989002 | − | 0.428166i | ||||
\(157\) | −154.956 | + | 154.956i | −0.986983 | + | 0.986983i | −0.999916 | − | 0.0129334i | \(-0.995883\pi\) |
0.0129334 | + | 0.999916i | \(0.495883\pi\) | |||||||
\(158\) | 35.2472 | + | 7.30226i | 0.223083 | + | 0.0462168i | ||||
\(159\) | − | 51.2601i | − | 0.322390i | ||||||
\(160\) | 69.5705 | + | 16.7317i | 0.434815 | + | 0.104573i | ||||
\(161\) | 8.94086 | 0.0555333 | ||||||||
\(162\) | −3.65157 | + | 17.6257i | −0.0225406 | + | 0.108801i | ||||
\(163\) | −153.579 | − | 153.579i | −0.942203 | − | 0.942203i | 0.0562155 | − | 0.998419i | \(-0.482097\pi\) |
−0.998419 | + | 0.0562155i | \(0.982097\pi\) | |||||||
\(164\) | −95.2488 | + | 220.011i | −0.580785 | + | 1.34153i | ||||
\(165\) | 54.4379 | + | 54.4379i | 0.329927 | + | 0.329927i | ||||
\(166\) | −0.214322 | + | 0.140759i | −0.00129109 | + | 0.000847944i | ||||
\(167\) | 199.626 | 1.19537 | 0.597683 | − | 0.801733i | \(-0.296088\pi\) | ||||
0.597683 | + | 0.801733i | \(0.296088\pi\) | |||||||
\(168\) | −9.72162 | + | 1.69430i | −0.0578668 | + | 0.0100851i | ||||
\(169\) | − | 419.855i | − | 2.48435i | ||||||
\(170\) | −29.0020 | + | 19.0475i | −0.170600 | + | 0.112044i | ||||
\(171\) | −14.1831 | + | 14.1831i | −0.0829421 | + | 0.0829421i | ||||
\(172\) | 303.515 | − | 120.114i | 1.76462 | − | 0.698339i | ||||
\(173\) | −62.5227 | + | 62.5227i | −0.361403 | + | 0.361403i | −0.864329 | − | 0.502926i | \(-0.832257\pi\) |
0.502926 | + | 0.864329i | \(0.332257\pi\) | |||||||
\(174\) | −5.41434 | + | 26.1344i | −0.0311169 | + | 0.150197i | ||||
\(175\) | 3.56087i | 0.0203478i | ||||||||
\(176\) | 317.887 | + | 10.0912i | 1.80617 | + | 0.0573366i | ||||
\(177\) | −31.7555 | −0.179410 | ||||||||
\(178\) | −166.374 | − | 34.4681i | −0.934684 | − | 0.193641i | ||||
\(179\) | −127.410 | − | 127.410i | −0.711789 | − | 0.711789i | 0.255120 | − | 0.966909i | \(-0.417885\pi\) |
−0.966909 | + | 0.255120i | \(0.917885\pi\) | |||||||
\(180\) | 24.9501 | − | 9.87385i | 0.138612 | − | 0.0548547i | ||||
\(181\) | 117.968 | + | 117.968i | 0.651757 | + | 0.651757i | 0.953416 | − | 0.301659i | \(-0.0975403\pi\) |
−0.301659 | + | 0.953416i | \(0.597540\pi\) | |||||||
\(182\) | −18.9739 | − | 28.8901i | −0.104252 | − | 0.158737i | ||||
\(183\) | −79.4062 | −0.433913 | ||||||||
\(184\) | −57.7701 | + | 82.1568i | −0.313968 | + | 0.446505i | ||||
\(185\) | 12.8031i | 0.0692060i | ||||||||
\(186\) | 41.4238 | + | 63.0726i | 0.222708 | + | 0.339100i | ||||
\(187\) | −109.054 | + | 109.054i | −0.583174 | + | 0.583174i | ||||
\(188\) | −0.424443 | + | 0.980402i | −0.00225768 | + | 0.00521490i | ||||
\(189\) | −2.61669 | + | 2.61669i | −0.0138449 | + | 0.0138449i | ||||
\(190\) | 29.2789 | + | 6.06579i | 0.154099 | + | 0.0319252i | ||||
\(191\) | − | 348.778i | − | 1.82606i | −0.407889 | − | 0.913032i | \(-0.633735\pi\) | ||
0.407889 | − | 0.913032i | \(-0.366265\pi\) | |||||||
\(192\) | 47.2460 | − | 100.279i | 0.246073 | − | 0.522285i | ||||
\(193\) | 107.882 | 0.558976 | 0.279488 | − | 0.960149i | \(-0.409835\pi\) | ||||
0.279488 | + | 0.960149i | \(0.409835\pi\) | |||||||
\(194\) | −70.8195 | + | 341.838i | −0.365049 | + | 1.76205i | ||||
\(195\) | 66.4561 | + | 66.4561i | 0.340801 | + | 0.340801i | ||||
\(196\) | 178.006 | + | 77.0636i | 0.908193 | + | 0.393182i | ||||
\(197\) | 107.663 | + | 107.663i | 0.546514 | + | 0.546514i | 0.925431 | − | 0.378917i | \(-0.123703\pi\) |
−0.378917 | + | 0.925431i | \(0.623703\pi\) | |||||||
\(198\) | 99.6899 | − | 65.4727i | 0.503484 | − | 0.330670i | ||||
\(199\) | −0.0802168 | −0.000403099 | −0.000201550 | − | 1.00000i | \(-0.500064\pi\) | ||||
−0.000201550 | 1.00000i | \(0.500064\pi\) | ||||||||
\(200\) | −32.7205 | − | 23.0080i | −0.163602 | − | 0.115040i | ||||
\(201\) | 135.538i | 0.674318i | ||||||||
\(202\) | 36.1704 | − | 23.7554i | 0.179062 | − | 0.117601i | ||||
\(203\) | −3.87987 | + | 3.87987i | −0.0191127 | + | 0.0191127i | ||||
\(204\) | 19.7799 | + | 49.9817i | 0.0969605 | + | 0.245008i | ||||
\(205\) | 94.7671 | − | 94.7671i | 0.462279 | − | 0.462279i | ||||
\(206\) | 34.1702 | − | 164.936i | 0.165875 | − | 0.800659i | ||||
\(207\) | 37.6630i | 0.181947i | ||||||||
\(208\) | 388.066 | + | 12.3191i | 1.86570 | + | 0.0592263i | ||||
\(209\) | 132.903 | 0.635901 | ||||||||
\(210\) | 5.40176 | + | 1.11910i | 0.0257227 | + | 0.00532905i | ||||
\(211\) | 142.068 | + | 142.068i | 0.673306 | + | 0.673306i | 0.958477 | − | 0.285171i | \(-0.0920502\pi\) |
−0.285171 | + | 0.958477i | \(0.592050\pi\) | |||||||
\(212\) | 43.5611 | + | 110.074i | 0.205477 | + | 0.519217i | ||||
\(213\) | 130.158 | + | 130.158i | 0.611068 | + | 0.611068i | ||||
\(214\) | 126.355 | + | 192.391i | 0.590446 | + | 0.899024i | ||||
\(215\) | −182.473 | −0.848713 | ||||||||
\(216\) | −7.13718 | − | 40.9519i | −0.0330425 | − | 0.189592i | ||||
\(217\) | 15.5134i | 0.0714903i | ||||||||
\(218\) | −178.901 | − | 272.398i | −0.820647 | − | 1.24953i | ||||
\(219\) | −103.459 | + | 103.459i | −0.472415 | + | 0.472415i | ||||
\(220\) | −163.160 | − | 70.6363i | −0.741635 | − | 0.321074i | ||||
\(221\) | −133.129 | + | 133.129i | −0.602395 | + | 0.602395i | ||||
\(222\) | 19.4221 | + | 4.02373i | 0.0874867 | + | 0.0181249i | ||||
\(223\) | 229.927i | 1.03106i | 0.856871 | + | 0.515530i | \(0.172405\pi\) | ||||
−0.856871 | + | 0.515530i | \(0.827595\pi\) | |||||||
\(224\) | 19.4360 | − | 11.8998i | 0.0867679 | − | 0.0531240i | ||||
\(225\) | −15.0000 | −0.0666667 | ||||||||
\(226\) | −74.9311 | + | 361.684i | −0.331553 | + | 1.60037i | ||||
\(227\) | −64.7650 | − | 64.7650i | −0.285309 | − | 0.285309i | 0.549913 | − | 0.835222i | \(-0.314661\pi\) |
−0.835222 | + | 0.549913i | \(0.814661\pi\) | |||||||
\(228\) | 18.4034 | − | 42.5091i | 0.0807165 | − | 0.186444i | ||||
\(229\) | −21.6940 | − | 21.6940i | −0.0947335 | − | 0.0947335i | 0.658152 | − | 0.752885i | \(-0.271339\pi\) |
−0.752885 | + | 0.658152i | \(0.771339\pi\) | |||||||
\(230\) | 46.9286 | − | 30.8210i | 0.204037 | − | 0.134004i | ||||
\(231\) | 24.5198 | 0.106146 | ||||||||
\(232\) | −10.5826 | − | 60.7211i | −0.0456146 | − | 0.261729i | ||||
\(233\) | − | 167.212i | − | 0.717647i | −0.933405 | − | 0.358823i | \(-0.883178\pi\) | ||
0.933405 | − | 0.358823i | \(-0.116822\pi\) | |||||||
\(234\) | 121.698 | − | 79.9270i | 0.520078 | − | 0.341568i | ||||
\(235\) | 0.422297 | − | 0.422297i | 0.00179701 | − | 0.00179701i | ||||
\(236\) | 68.1906 | − | 26.9860i | 0.288943 | − | 0.114347i | ||||
\(237\) | −22.0427 | + | 22.0427i | −0.0930073 | + | 0.0930073i | ||||
\(238\) | −2.24185 | + | 10.8212i | −0.00941955 | + | 0.0454671i | ||||
\(239\) | 89.6407i | 0.375066i | 0.982258 | + | 0.187533i | \(0.0600491\pi\) | ||||
−0.982258 | + | 0.187533i | \(0.939951\pi\) | |||||||
\(240\) | −45.1860 | + | 42.4055i | −0.188275 | + | 0.176689i | ||||
\(241\) | 113.390 | 0.470498 | 0.235249 | − | 0.971935i | \(-0.424410\pi\) | ||||
0.235249 | + | 0.971935i | \(0.424410\pi\) | |||||||
\(242\) | −536.863 | − | 111.224i | −2.21844 | − | 0.459602i | ||||
\(243\) | −11.0227 | − | 11.0227i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 170.514 | − | 67.4798i | 0.698827 | − | 0.276557i | ||||
\(245\) | −76.6739 | − | 76.6739i | −0.312955 | − | 0.312955i | ||||
\(246\) | −113.977 | − | 173.543i | −0.463320 | − | 0.705459i | ||||
\(247\) | 162.244 | 0.656859 | ||||||||
\(248\) | −142.551 | − | 100.238i | −0.574803 | − | 0.404184i | ||||
\(249\) | − | 0.222059i | − | 0.000891802i | ||||||
\(250\) | 12.2750 | + | 18.6902i | 0.0491001 | + | 0.0747608i | ||||
\(251\) | −263.207 | + | 263.207i | −1.04864 | + | 1.04864i | −0.0498801 | + | 0.998755i | \(0.515884\pi\) |
−0.998755 | + | 0.0498801i | \(0.984116\pi\) | |||||||
\(252\) | 3.39530 | − | 7.84266i | 0.0134734 | − | 0.0311217i | ||||
\(253\) | 176.461 | − | 176.461i | 0.697476 | − | 0.697476i | ||||
\(254\) | 423.114 | + | 87.6577i | 1.66580 | + | 0.345109i | ||||
\(255\) | − | 30.0490i | − | 0.117839i | ||||||
\(256\) | −16.2370 | + | 255.485i | −0.0634257 | + | 0.997987i | ||||
\(257\) | 334.232 | 1.30052 | 0.650258 | − | 0.759714i | \(-0.274661\pi\) | ||||
0.650258 | + | 0.759714i | \(0.274661\pi\) | |||||||
\(258\) | −57.3472 | + | 276.808i | −0.222276 | + | 1.07290i | ||||
\(259\) | 2.88337 | + | 2.88337i | 0.0111327 | + | 0.0111327i | ||||
\(260\) | −199.180 | − | 86.2306i | −0.766077 | − | 0.331656i | ||||
\(261\) | −16.3438 | − | 16.3438i | −0.0626199 | − | 0.0626199i | ||||
\(262\) | 89.5203 | − | 58.7936i | 0.341681 | − | 0.224403i | ||||
\(263\) | −515.255 | −1.95914 | −0.979572 | − | 0.201095i | \(-0.935550\pi\) | ||||
−0.979572 | + | 0.201095i | \(0.935550\pi\) | |||||||
\(264\) | −158.431 | + | 225.311i | −0.600118 | + | 0.853449i | ||||
\(265\) | − | 66.1765i | − | 0.249723i | ||||||
\(266\) | 7.95993 | − | 5.22779i | 0.0299246 | − | 0.0196533i | ||||
\(267\) | 104.046 | − | 104.046i | 0.389686 | − | 0.389686i | ||||
\(268\) | −115.181 | − | 291.049i | −0.429779 | − | 1.08600i | ||||
\(269\) | −84.4996 | + | 84.4996i | −0.314125 | + | 0.314125i | −0.846505 | − | 0.532380i | \(-0.821298\pi\) |
0.532380 | + | 0.846505i | \(0.321298\pi\) | |||||||
\(270\) | −4.71416 | + | 22.7547i | −0.0174599 | + | 0.0842767i | ||||
\(271\) | − | 269.730i | − | 0.995314i | −0.867374 | − | 0.497657i | \(-0.834194\pi\) | ||
0.867374 | − | 0.497657i | \(-0.165806\pi\) | |||||||
\(272\) | −84.9494 | − | 90.5196i | −0.312314 | − | 0.332793i | ||||
\(273\) | 29.9330 | 0.109645 | ||||||||
\(274\) | 26.7076 | + | 5.53310i | 0.0974731 | + | 0.0201938i | ||||
\(275\) | 70.2791 | + | 70.2791i | 0.255560 | + | 0.255560i | ||||
\(276\) | −32.0062 | − | 80.8761i | −0.115965 | − | 0.293029i | ||||
\(277\) | 252.598 | + | 252.598i | 0.911907 | + | 0.911907i | 0.996422 | − | 0.0845154i | \(-0.0269342\pi\) |
−0.0845154 | + | 0.996422i | \(0.526934\pi\) | |||||||
\(278\) | 150.456 | + | 229.088i | 0.541210 | + | 0.824057i | ||||
\(279\) | −65.3495 | −0.234228 | ||||||||
\(280\) | −12.5506 | + | 2.18734i | −0.0448234 | + | 0.00781192i | ||||
\(281\) | 314.150i | 1.11797i | 0.829177 | + | 0.558986i | \(0.188810\pi\) | ||||
−0.829177 | + | 0.558986i | \(0.811190\pi\) | |||||||
\(282\) | −0.507897 | − | 0.773334i | −0.00180105 | − | 0.00274232i | ||||
\(283\) | 203.020 | − | 203.020i | 0.717385 | − | 0.717385i | −0.250684 | − | 0.968069i | \(-0.580656\pi\) |
0.968069 | + | 0.250684i | \(0.0806556\pi\) | |||||||
\(284\) | −390.104 | − | 168.887i | −1.37361 | − | 0.594672i | ||||
\(285\) | −18.3103 | + | 18.3103i | −0.0642467 | + | 0.0642467i | ||||
\(286\) | −944.669 | − | 195.710i | −3.30304 | − | 0.684300i | ||||
\(287\) | − | 42.6848i | − | 0.148727i | ||||||
\(288\) | 50.1273 | + | 81.8734i | 0.174053 | + | 0.284283i | ||||
\(289\) | −228.804 | −0.791709 | ||||||||
\(290\) | −6.98988 | + | 33.7393i | −0.0241030 | + | 0.116342i | ||||
\(291\) | −213.777 | − | 213.777i | −0.734629 | − | 0.734629i | ||||
\(292\) | 134.244 | − | 310.084i | 0.459739 | − | 1.06193i | ||||
\(293\) | 324.840 | + | 324.840i | 1.10867 | + | 1.10867i | 0.993326 | + | 0.115342i | \(0.0367963\pi\) |
0.115342 | + | 0.993326i | \(0.463204\pi\) | |||||||
\(294\) | −140.410 | + | 92.2159i | −0.477584 | + | 0.313659i | ||||
\(295\) | −40.9962 | −0.138970 | ||||||||
\(296\) | −45.1256 | + | 7.86458i | −0.152451 | + | 0.0265695i | ||||
\(297\) | 103.289i | 0.347773i | ||||||||
\(298\) | −280.599 | + | 184.287i | −0.941608 | + | 0.618414i | ||||
\(299\) | 215.419 | − | 215.419i | 0.720463 | − | 0.720463i | ||||
\(300\) | 32.2104 | − | 12.7471i | 0.107368 | − | 0.0424903i | ||||
\(301\) | −41.0946 | + | 41.0946i | −0.136527 | + | 0.136527i | ||||
\(302\) | 10.0662 | − | 48.5882i | 0.0333317 | − | 0.160888i | ||||
\(303\) | 37.4762i | 0.123684i | ||||||||
\(304\) | −3.39421 | + | 106.922i | −0.0111652 | + | 0.351716i | ||||
\(305\) | −102.513 | −0.336108 | ||||||||
\(306\) | −45.5837 | − | 9.44372i | −0.148966 | − | 0.0308618i | ||||
\(307\) | −25.2674 | − | 25.2674i | −0.0823042 | − | 0.0823042i | 0.664756 | − | 0.747060i | \(-0.268535\pi\) |
−0.747060 | + | 0.664756i | \(0.768535\pi\) | |||||||
\(308\) | −52.6529 | + | 20.8371i | −0.170951 | + | 0.0676528i | ||||
\(309\) | 103.147 | + | 103.147i | 0.333809 | + | 0.333809i | ||||
\(310\) | 53.4778 | + | 81.4264i | 0.172509 | + | 0.262666i | ||||
\(311\) | 234.441 | 0.753829 | 0.376914 | − | 0.926248i | \(-0.376985\pi\) | ||||
0.376914 | + | 0.926248i | \(0.376985\pi\) | |||||||
\(312\) | −193.408 | + | 275.052i | −0.619897 | + | 0.881577i | ||||
\(313\) | 530.682i | 1.69547i | 0.530421 | + | 0.847735i | \(0.322034\pi\) | ||||
−0.530421 | + | 0.847735i | \(0.677966\pi\) | |||||||
\(314\) | 240.598 | + | 366.339i | 0.766236 | + | 1.16668i | ||||
\(315\) | −3.37813 | + | 3.37813i | −0.0107242 | + | 0.0107242i | ||||
\(316\) | 28.6017 | − | 66.0658i | 0.0905117 | − | 0.209069i | ||||
\(317\) | −13.0953 | + | 13.0953i | −0.0413102 | + | 0.0413102i | −0.727460 | − | 0.686150i | \(-0.759299\pi\) |
0.686150 | + | 0.727460i | \(0.259299\pi\) | |||||||
\(318\) | −100.388 | − | 20.7978i | −0.315687 | − | 0.0654018i | ||||
\(319\) | 153.150i | 0.480095i | ||||||||
\(320\) | 60.9944 | − | 129.459i | 0.190607 | − | 0.404560i | ||||
\(321\) | −199.337 | −0.620986 | ||||||||
\(322\) | 3.62758 | − | 17.5099i | 0.0112658 | − | 0.0543786i | ||||
\(323\) | −36.6804 | − | 36.6804i | −0.113562 | − | 0.113562i | ||||
\(324\) | 33.0369 | + | 14.3026i | 0.101966 | + | 0.0441438i | ||||
\(325\) | 85.7945 | + | 85.7945i | 0.263983 | + | 0.263983i | ||||
\(326\) | −363.083 | + | 238.460i | −1.11375 | + | 0.731471i | ||||
\(327\) | 282.232 | 0.863094 | ||||||||
\(328\) | 392.227 | + | 275.802i | 1.19581 | + | 0.840859i | ||||
\(329\) | − | 0.190210i | − | 0.000578146i | ||||||
\(330\) | 128.699 | − | 84.5248i | 0.389997 | − | 0.256136i | ||||
\(331\) | −52.3836 | + | 52.3836i | −0.158259 | + | 0.158259i | −0.781795 | − | 0.623536i | \(-0.785695\pi\) |
0.623536 | + | 0.781795i | \(0.285695\pi\) | |||||||
\(332\) | 0.188707 | + | 0.476841i | 0.000568394 | + | 0.00143627i | ||||
\(333\) | −12.1461 | + | 12.1461i | −0.0364747 | + | 0.0364747i | ||||
\(334\) | 80.9944 | − | 390.950i | 0.242498 | − | 1.17051i | ||||
\(335\) | 174.979i | 0.522324i | ||||||||
\(336\) | −0.626210 | + | 19.7264i | −0.00186372 | + | 0.0587095i | ||||
\(337\) | 148.234 | 0.439862 | 0.219931 | − | 0.975515i | \(-0.429417\pi\) | ||||
0.219931 | + | 0.975515i | \(0.429417\pi\) | |||||||
\(338\) | −822.251 | − | 170.348i | −2.43269 | − | 0.503989i | ||||
\(339\) | −226.188 | − | 226.188i | −0.667222 | − | 0.667222i | ||||
\(340\) | 25.5358 | + | 64.5260i | 0.0751053 | + | 0.189782i | ||||
\(341\) | 306.180 | + | 306.180i | 0.897889 | + | 0.897889i | ||||
\(342\) | 22.0219 | + | 33.5309i | 0.0643914 | + | 0.0980435i | ||||
\(343\) | −69.4318 | −0.202425 | ||||||||
\(344\) | −112.088 | − | 643.142i | −0.325837 | − | 1.86960i | ||||
\(345\) | 48.6227i | 0.140935i | ||||||||
\(346\) | 97.0779 | + | 147.813i | 0.280572 | + | 0.427204i | ||||
\(347\) | −238.656 | + | 238.656i | −0.687768 | + | 0.687768i | −0.961738 | − | 0.273970i | \(-0.911663\pi\) |
0.273970 | + | 0.961738i | \(0.411663\pi\) | |||||||
\(348\) | 48.9851 | + | 21.2070i | 0.140762 | + | 0.0609397i | ||||
\(349\) | 185.358 | − | 185.358i | 0.531110 | − | 0.531110i | −0.389792 | − | 0.920903i | \(-0.627453\pi\) |
0.920903 | + | 0.389792i | \(0.127453\pi\) | |||||||
\(350\) | 6.97365 | + | 1.44475i | 0.0199247 | + | 0.00412786i | ||||
\(351\) | 126.092i | 0.359235i | ||||||||
\(352\) | 148.739 | − | 618.459i | 0.422554 | − | 1.75699i | ||||
\(353\) | 57.5276 | 0.162968 | 0.0814839 | − | 0.996675i | \(-0.474034\pi\) | ||||
0.0814839 | + | 0.996675i | \(0.474034\pi\) | |||||||
\(354\) | −12.8842 | + | 62.1904i | −0.0363960 | + | 0.175679i | ||||
\(355\) | 168.033 | + | 168.033i | 0.473331 | + | 0.473331i | ||||
\(356\) | −135.006 | + | 311.844i | −0.379230 | + | 0.875966i | ||||
\(357\) | −6.76730 | − | 6.76730i | −0.0189560 | − | 0.0189560i | ||||
\(358\) | −301.216 | + | 197.828i | −0.841386 | + | 0.552591i | ||||
\(359\) | 569.374 | 1.58600 | 0.793000 | − | 0.609222i | \(-0.208518\pi\) | ||||
0.793000 | + | 0.609222i | \(0.208518\pi\) | |||||||
\(360\) | −9.21407 | − | 52.8687i | −0.0255946 | − | 0.146858i | ||||
\(361\) | − | 316.298i | − | 0.876171i | ||||||
\(362\) | 278.893 | − | 183.167i | 0.770424 | − | 0.505986i | ||||
\(363\) | 335.741 | − | 335.741i | 0.924907 | − | 0.924907i | ||||
\(364\) | −64.2770 | + | 25.4372i | −0.176585 | + | 0.0698825i | ||||
\(365\) | −133.565 | + | 133.565i | −0.365931 | + | 0.365931i | ||||
\(366\) | −32.2175 | + | 155.510i | −0.0880259 | + | 0.424891i | ||||
\(367\) | 128.973i | 0.351425i | 0.984441 | + | 0.175713i | \(0.0562230\pi\) | ||||
−0.984441 | + | 0.175713i | \(0.943777\pi\) | |||||||
\(368\) | 137.458 | + | 146.471i | 0.373527 | + | 0.398020i | ||||
\(369\) | 179.808 | 0.487284 | ||||||||
\(370\) | 25.0738 | + | 5.19461i | 0.0677669 | + | 0.0140395i | ||||
\(371\) | −14.9035 | − | 14.9035i | −0.0401712 | − | 0.0401712i | ||||
\(372\) | 140.329 | − | 55.5344i | 0.377229 | − | 0.149286i | ||||
\(373\) | −61.7297 | − | 61.7297i | −0.165495 | − | 0.165495i | 0.619501 | − | 0.784996i | \(-0.287335\pi\) |
−0.784996 | + | 0.619501i | \(0.787335\pi\) | |||||||
\(374\) | 169.326 | + | 257.818i | 0.452742 | + | 0.689354i | ||||
\(375\) | −19.3649 | −0.0516398 | ||||||||
\(376\) | 1.74782 | + | 1.22901i | 0.00464846 | + | 0.00326865i | ||||
\(377\) | 186.961i | 0.495918i | ||||||||
\(378\) | 4.06289 | + | 6.18623i | 0.0107484 | + | 0.0163657i | ||||
\(379\) | −213.843 | + | 213.843i | −0.564228 | + | 0.564228i | −0.930506 | − | 0.366277i | \(-0.880632\pi\) |
0.366277 | + | 0.930506i | \(0.380632\pi\) | |||||||
\(380\) | 23.7586 | − | 54.8790i | 0.0625228 | − | 0.144419i | ||||
\(381\) | −264.605 | + | 264.605i | −0.694502 | + | 0.694502i | ||||
\(382\) | −683.052 | − | 141.510i | −1.78809 | − | 0.370445i | ||||
\(383\) | − | 347.292i | − | 0.906769i | −0.891315 | − | 0.453384i | \(-0.850217\pi\) | ||
0.891315 | − | 0.453384i | \(-0.149783\pi\) | |||||||
\(384\) | −177.218 | − | 133.213i | −0.461505 | − | 0.346910i | ||||
\(385\) | 31.6549 | 0.0822206 | ||||||||
\(386\) | 43.7712 | − | 211.278i | 0.113397 | − | 0.547354i | ||||
\(387\) | −173.109 | − | 173.109i | −0.447311 | − | 0.447311i | ||||
\(388\) | 640.726 | + | 277.388i | 1.65136 | + | 0.714917i | ||||
\(389\) | −449.479 | − | 449.479i | −1.15547 | − | 1.15547i | −0.985438 | − | 0.170035i | \(-0.945612\pi\) |
−0.170035 | − | 0.985438i | \(-0.554388\pi\) | |||||||
\(390\) | 157.112 | − | 103.185i | 0.402851 | − | 0.264578i | ||||
\(391\) | −97.4042 | −0.249116 | ||||||||
\(392\) | 223.145 | − | 317.342i | 0.569247 | − | 0.809545i | ||||
\(393\) | 92.7520i | 0.236010i | ||||||||
\(394\) | 254.532 | − | 167.167i | 0.646019 | − | 0.424282i | ||||
\(395\) | −28.4570 | + | 28.4570i | −0.0720431 | + | 0.0720431i | ||||
\(396\) | −87.7753 | − | 221.798i | −0.221655 | − | 0.560097i | ||||
\(397\) | 258.874 | − | 258.874i | 0.652075 | − | 0.652075i | −0.301417 | − | 0.953492i | \(-0.597460\pi\) |
0.953492 | + | 0.301417i | \(0.0974597\pi\) | |||||||
\(398\) | −0.0325464 | + | 0.157098i | −8.17748e−5 | + | 0.000394717i | ||||
\(399\) | 8.24729i | 0.0206699i | ||||||||
\(400\) | −58.3349 | + | 54.7452i | −0.145837 | + | 0.136863i | ||||
\(401\) | 525.901 | 1.31147 | 0.655737 | − | 0.754989i | \(-0.272358\pi\) | ||||
0.655737 | + | 0.754989i | \(0.272358\pi\) | |||||||
\(402\) | 265.439 | + | 54.9918i | 0.660297 | + | 0.136796i | ||||
\(403\) | 373.775 | + | 373.775i | 0.927482 | + | 0.927482i | ||||
\(404\) | −31.8475 | − | 80.4750i | −0.0788304 | − | 0.199195i | ||||
\(405\) | −14.2302 | − | 14.2302i | −0.0351364 | − | 0.0351364i | ||||
\(406\) | 6.02421 | + | 9.17258i | 0.0148380 | + | 0.0225926i | ||||
\(407\) | 113.815 | 0.279645 | ||||||||
\(408\) | 105.910 | − | 18.4582i | 0.259583 | − | 0.0452407i | ||||
\(409\) | − | 379.578i | − | 0.928063i | −0.885819 | − | 0.464032i | \(-0.846402\pi\) | ||
0.885819 | − | 0.464032i | \(-0.153598\pi\) | |||||||
\(410\) | −147.143 | − | 224.043i | −0.358886 | − | 0.546446i | ||||
\(411\) | −16.7023 | + | 16.7023i | −0.0406382 | + | 0.0406382i | ||||
\(412\) | −309.149 | − | 133.839i | −0.750360 | − | 0.324852i | ||||
\(413\) | −9.23270 | + | 9.23270i | −0.0223552 | + | 0.0223552i | ||||
\(414\) | 73.7597 | + | 15.2810i | 0.178164 | + | 0.0369107i | ||||
\(415\) | − | 0.286677i | − | 0.000690787i | ||||||
\(416\) | 181.576 | − | 754.995i | 0.436481 | − | 1.81489i | ||||
\(417\) | −237.358 | −0.569203 | ||||||||
\(418\) | 53.9229 | − | 260.280i | 0.129002 | − | 0.622679i | ||||
\(419\) | 313.583 | + | 313.583i | 0.748407 | + | 0.748407i | 0.974180 | − | 0.225773i | \(-0.0724907\pi\) |
−0.225773 | + | 0.974180i | \(0.572491\pi\) | |||||||
\(420\) | 4.38332 | − | 10.1248i | 0.0104365 | − | 0.0241067i | ||||
\(421\) | −419.599 | − | 419.599i | −0.996672 | − | 0.996672i | 0.00332199 | − | 0.999994i | \(-0.498943\pi\) |
−0.999994 | + | 0.00332199i | \(0.998943\pi\) | |||||||
\(422\) | 335.868 | − | 220.586i | 0.795896 | − | 0.522716i | ||||
\(423\) | 0.801251 | 0.00189421 | ||||||||
\(424\) | 233.244 | − | 40.6503i | 0.550105 | − | 0.0958733i | ||||
\(425\) | − | 38.7931i | − | 0.0912778i | ||||||
\(426\) | 307.711 | − | 202.093i | 0.722326 | − | 0.474398i | ||||
\(427\) | −23.0868 | + | 23.0868i | −0.0540675 | + | 0.0540675i | ||||
\(428\) | 428.048 | − | 169.397i | 1.00011 | − | 0.395788i | ||||
\(429\) | 590.773 | − | 590.773i | 1.37709 | − | 1.37709i | ||||
\(430\) | −74.0350 | + | 357.358i | −0.172174 | + | 0.831065i | ||||
\(431\) | − | 50.6765i | − | 0.117579i | −0.998270 | − | 0.0587895i | \(-0.981276\pi\) | ||
0.998270 | − | 0.0587895i | \(-0.0187241\pi\) | |||||||
\(432\) | −83.0966 | − | 2.63788i | −0.192353 | − | 0.00610621i | ||||
\(433\) | −417.473 | −0.964141 | −0.482071 | − | 0.876132i | \(-0.660115\pi\) | ||||
−0.482071 | + | 0.876132i | \(0.660115\pi\) | |||||||
\(434\) | 30.3816 | + | 6.29425i | 0.0700037 | + | 0.0145029i | ||||
\(435\) | −21.0998 | − | 21.0998i | −0.0485052 | − | 0.0485052i | ||||
\(436\) | −606.054 | + | 239.842i | −1.39003 | + | 0.550096i | ||||
\(437\) | 59.3531 | + | 59.3531i | 0.135820 | + | 0.135820i | ||||
\(438\) | 160.639 | + | 244.592i | 0.366756 | + | 0.558429i | ||||
\(439\) | −305.299 | −0.695442 | −0.347721 | − | 0.937598i | \(-0.613044\pi\) | ||||
−0.347721 | + | 0.937598i | \(0.613044\pi\) | |||||||
\(440\) | −204.534 | + | 290.875i | −0.464850 | + | 0.661079i | ||||
\(441\) | − | 145.478i | − | 0.329883i | ||||||
\(442\) | 206.708 | + | 314.737i | 0.467664 | + | 0.712074i | ||||
\(443\) | 211.225 | − | 211.225i | 0.476806 | − | 0.476806i | −0.427303 | − | 0.904109i | \(-0.640536\pi\) |
0.904109 | + | 0.427303i | \(0.140536\pi\) | |||||||
\(444\) | 15.7602 | − | 36.4039i | 0.0354960 | − | 0.0819907i | ||||
\(445\) | 134.323 | − | 134.323i | 0.301849 | − | 0.301849i | ||||
\(446\) | 450.291 | + | 93.2882i | 1.00962 | + | 0.209166i | ||||
\(447\) | − | 290.729i | − | 0.650400i | ||||||
\(448\) | −15.4189 | − | 42.8918i | −0.0344172 | − | 0.0957407i | ||||
\(449\) | 577.524 | 1.28624 | 0.643122 | − | 0.765764i | \(-0.277639\pi\) | ||||
0.643122 | + | 0.765764i | \(0.277639\pi\) | |||||||
\(450\) | −6.08596 | + | 29.3762i | −0.0135243 | + | 0.0652804i | ||||
\(451\) | −842.449 | − | 842.449i | −1.86796 | − | 1.86796i | ||||
\(452\) | 677.924 | + | 293.492i | 1.49983 | + | 0.649319i | ||||
\(453\) | 30.3859 | + | 30.3859i | 0.0670770 | + | 0.0670770i | ||||
\(454\) | −153.114 | + | 100.560i | −0.337255 | + | 0.221497i | ||||
\(455\) | 38.6434 | 0.0849305 | ||||||||
\(456\) | −75.7836 | − | 53.2887i | −0.166192 | − | 0.116861i | ||||
\(457\) | 226.110i | 0.494771i | 0.968917 | + | 0.247386i | \(0.0795715\pi\) | ||||
−0.968917 | + | 0.247386i | \(0.920429\pi\) | |||||||
\(458\) | −51.2877 | + | 33.6839i | −0.111982 | + | 0.0735456i | ||||
\(459\) | 28.5070 | − | 28.5070i | 0.0621067 | − | 0.0621067i | ||||
\(460\) | −41.3199 | − | 104.411i | −0.0898258 | − | 0.226980i | ||||
\(461\) | −488.700 | + | 488.700i | −1.06009 | + | 1.06009i | −0.0620116 | + | 0.998075i | \(0.519752\pi\) |
−0.998075 | + | 0.0620116i | \(0.980248\pi\) | |||||||
\(462\) | 9.94843 | − | 48.0199i | 0.0215334 | − | 0.103939i | ||||
\(463\) | − | 578.737i | − | 1.24997i | −0.780636 | − | 0.624986i | \(-0.785105\pi\) | ||
0.780636 | − | 0.624986i | \(-0.214895\pi\) | |||||||
\(464\) | −123.211 | − | 3.91130i | −0.265540 | − | 0.00842952i | ||||
\(465\) | −84.3659 | −0.181432 | ||||||||
\(466\) | −327.470 | − | 67.8429i | −0.702725 | − | 0.145586i | ||||
\(467\) | 217.803 | + | 217.803i | 0.466387 | + | 0.466387i | 0.900742 | − | 0.434355i | \(-0.143024\pi\) |
−0.434355 | + | 0.900742i | \(0.643024\pi\) | |||||||
\(468\) | −107.153 | − | 270.764i | −0.228960 | − | 0.578556i | ||||
\(469\) | 39.4068 | + | 39.4068i | 0.0840229 | + | 0.0840229i | ||||
\(470\) | −0.655693 | − | 0.998370i | −0.00139509 | − | 0.00212419i | ||||
\(471\) | −379.564 | −0.805868 | ||||||||
\(472\) | −25.1828 | − | 144.494i | −0.0533533 | − | 0.306132i | ||||
\(473\) | 1622.13i | 3.42945i | ||||||||
\(474\) | 34.2254 | + | 52.1122i | 0.0722054 | + | 0.109941i | ||||
\(475\) | −23.6385 | + | 23.6385i | −0.0497653 | + | 0.0497653i | ||||
\(476\) | 20.2827 | + | 8.78095i | 0.0426108 | + | 0.0184474i | ||||
\(477\) | 62.7805 | − | 62.7805i | 0.131615 | − | 0.131615i | ||||
\(478\) | 175.553 | + | 36.3699i | 0.367267 | + | 0.0760878i | ||||
\(479\) | − | 181.127i | − | 0.378135i | −0.981964 | − | 0.189068i | \(-0.939453\pi\) | ||
0.981964 | − | 0.189068i | \(-0.0605465\pi\) | |||||||
\(480\) | 64.7141 | + | 105.698i | 0.134821 | + | 0.220204i | ||||
\(481\) | 138.942 | 0.288861 | ||||||||
\(482\) | 46.0057 | − | 222.064i | 0.0954476 | − | 0.460714i | ||||
\(483\) | 10.9503 | + | 10.9503i | 0.0226714 | + | 0.0226714i | ||||
\(484\) | −435.643 | + | 1006.27i | −0.900090 | + | 2.07908i | ||||
\(485\) | −275.985 | − | 275.985i | −0.569041 | − | 0.569041i | ||||
\(486\) | −26.0593 | + | 17.1148i | −0.0536199 | + | 0.0352156i | ||||
\(487\) | −496.984 | −1.02050 | −0.510250 | − | 0.860026i | \(-0.670447\pi\) | ||||
−0.510250 | + | 0.860026i | \(0.670447\pi\) | |||||||
\(488\) | −62.9707 | − | 361.315i | −0.129038 | − | 0.740400i | ||||
\(489\) | − | 376.190i | − | 0.769306i | ||||||
\(490\) | −181.268 | + | 119.050i | −0.369935 | + | 0.242960i | ||||
\(491\) | −199.137 | + | 199.137i | −0.405575 | + | 0.405575i | −0.880192 | − | 0.474617i | \(-0.842586\pi\) |
0.474617 | + | 0.880192i | \(0.342586\pi\) | |||||||
\(492\) | −386.113 | + | 152.802i | −0.784782 | + | 0.310573i | ||||
\(493\) | 42.2684 | − | 42.2684i | 0.0857372 | − | 0.0857372i | ||||
\(494\) | 65.8274 | − | 317.741i | 0.133254 | − | 0.643201i | ||||
\(495\) | 133.345i | 0.269384i | ||||||||
\(496\) | −254.144 | + | 238.505i | −0.512387 | + | 0.480857i | ||||
\(497\) | 75.6849 | 0.152283 | ||||||||
\(498\) | −0.434883 | − | 0.0900960i | −0.000873259 | − | 0.000180916i | ||||
\(499\) | 267.538 | + | 267.538i | 0.536149 | + | 0.536149i | 0.922396 | − | 0.386247i | \(-0.126229\pi\) |
−0.386247 | + | 0.922396i | \(0.626229\pi\) | |||||||
\(500\) | 41.5835 | − | 16.4564i | 0.0831670 | − | 0.0329128i | ||||
\(501\) | 244.491 | + | 244.491i | 0.488006 | + | 0.488006i | ||||
\(502\) | 408.678 | + | 622.260i | 0.814099 | + | 1.23956i | ||||
\(503\) | 175.799 | 0.349501 | 0.174750 | − | 0.984613i | \(-0.444088\pi\) | ||||
0.174750 | + | 0.984613i | \(0.444088\pi\) | |||||||
\(504\) | −13.9816 | − | 9.83142i | −0.0277413 | − | 0.0195068i | ||||
\(505\) | 48.3816i | 0.0958051i | ||||||||
\(506\) | −273.989 | − | 417.180i | −0.541479 | − | 0.824467i | ||||
\(507\) | 514.216 | − | 514.216i | 1.01423 | − | 1.01423i | ||||
\(508\) | 343.340 | − | 793.066i | 0.675866 | − | 1.56115i | ||||
\(509\) | 29.1929 | − | 29.1929i | 0.0573534 | − | 0.0573534i | −0.677848 | − | 0.735202i | \(-0.737087\pi\) |
0.735202 | + | 0.677848i | \(0.237087\pi\) | |||||||
\(510\) | −58.8483 | − | 12.1918i | −0.115389 | − | 0.0239055i | ||||
\(511\) | 60.1600i | 0.117730i | ||||||||
\(512\) | 493.757 | + | 135.457i | 0.964368 | + | 0.264564i | ||||
\(513\) | −34.7414 | −0.0677219 | ||||||||
\(514\) | 135.608 | − | 654.565i | 0.263829 | − | 1.27347i | ||||
\(515\) | 133.162 | + | 133.162i | 0.258567 | + | 0.258567i | ||||
\(516\) | 518.838 | + | 224.619i | 1.00550 | + | 0.435308i | ||||
\(517\) | −3.75408 | − | 3.75408i | −0.00726128 | − | 0.00726128i | ||||
\(518\) | 6.81671 | − | 4.47696i | 0.0131597 | − | 0.00864279i | ||||
\(519\) | −153.149 | −0.295084 | ||||||||
\(520\) | −249.689 | + | 355.091i | −0.480170 | + | 0.682867i | ||||
\(521\) | − | 53.3664i | − | 0.102431i | −0.998688 | − | 0.0512154i | \(-0.983691\pi\) | ||
0.998688 | − | 0.0512154i | \(-0.0163095\pi\) | |||||||
\(522\) | −38.6391 | + | 25.3768i | −0.0740213 | + | 0.0486145i | ||||
\(523\) | 302.377 | − | 302.377i | 0.578159 | − | 0.578159i | −0.356236 | − | 0.934396i | \(-0.615940\pi\) |
0.934396 | + | 0.356236i | \(0.115940\pi\) | |||||||
\(524\) | −78.8212 | − | 199.172i | −0.150422 | − | 0.380099i | ||||
\(525\) | −4.36115 | + | 4.36115i | −0.00830696 | + | 0.00830696i | ||||
\(526\) | −209.055 | + | 1009.08i | −0.397442 | + | 1.91841i | ||||
\(527\) | − | 169.007i | − | 0.320697i | ||||||
\(528\) | 376.971 | + | 401.689i | 0.713960 | + | 0.760775i | ||||
\(529\) | −371.389 | −0.702058 | ||||||||
\(530\) | −129.601 | − | 26.8498i | −0.244530 | − | 0.0506600i | ||||
\(531\) | −38.8924 | − | 38.8924i | −0.0732437 | − | 0.0732437i | ||||
\(532\) | −7.00859 | − | 17.7099i | −0.0131740 | − | 0.0332893i | ||||
\(533\) | −1028.44 | − | 1028.44i | −1.92952 | − | 1.92952i | ||||
\(534\) | −161.551 | − | 245.980i | −0.302529 | − | 0.460637i | ||||
\(535\) | −257.342 | −0.481014 | ||||||||
\(536\) | −616.727 | + | 107.484i | −1.15061 | + | 0.200530i | ||||
\(537\) | − | 312.090i | − | 0.581173i | ||||||
\(538\) | 131.201 | + | 199.769i | 0.243868 | + | 0.371318i | ||||
\(539\) | −681.606 | + | 681.606i | −1.26457 | + | 1.26457i | ||||
\(540\) | 42.6504 | + | 18.4646i | 0.0789823 | + | 0.0341936i | ||||
\(541\) | −261.014 | + | 261.014i | −0.482465 | + | 0.482465i | −0.905918 | − | 0.423453i | \(-0.860818\pi\) |
0.423453 | + | 0.905918i | \(0.360818\pi\) | |||||||
\(542\) | −528.243 | − | 109.438i | −0.974618 | − | 0.201915i | ||||
\(543\) | 288.962i | 0.532158i | ||||||||
\(544\) | −211.741 | + | 129.639i | −0.389230 | + | 0.238308i | ||||
\(545\) | 364.359 | 0.668550 | ||||||||
\(546\) | 12.1447 | − | 58.6212i | 0.0222431 | − | 0.107365i | ||||
\(547\) | −514.948 | − | 514.948i | −0.941404 | − | 0.941404i | 0.0569716 | − | 0.998376i | \(-0.481856\pi\) |
−0.998376 | + | 0.0569716i | \(0.981856\pi\) | |||||||
\(548\) | 21.6722 | − | 50.0596i | 0.0395478 | − | 0.0913497i | ||||
\(549\) | −97.2523 | − | 97.2523i | −0.177144 | − | 0.177144i | ||||
\(550\) | 166.150 | − | 109.121i | 0.302091 | − | 0.198402i | ||||
\(551\) | −51.5124 | −0.0934889 | ||||||||
\(552\) | −171.375 | + | 29.8675i | −0.310462 | + | 0.0541079i | ||||
\(553\) | 12.8176i | 0.0231782i | ||||||||
\(554\) | 597.178 | − | 392.205i | 1.07794 | − | 0.707951i | ||||
\(555\) | −15.6805 | + | 15.6805i | −0.0282532 | + | 0.0282532i | ||||
\(556\) | 509.693 | − | 201.708i | 0.916714 | − | 0.362784i | ||||
\(557\) | 450.359 | − | 450.359i | 0.808544 | − | 0.808544i | −0.175869 | − | 0.984414i | \(-0.556274\pi\) |
0.984414 | + | 0.175869i | \(0.0562736\pi\) | |||||||
\(558\) | −26.5143 | + | 127.981i | −0.0475166 | + | 0.229357i | ||||
\(559\) | 1980.24i | 3.54248i | ||||||||
\(560\) | −0.808434 | + | 25.4667i | −0.00144363 | + | 0.0454762i | ||||
\(561\) | −267.126 | −0.476160 | ||||||||
\(562\) | 615.236 | + | 127.460i | 1.09473 | + | 0.226798i | ||||
\(563\) | 102.842 | + | 102.842i | 0.182668 | + | 0.182668i | 0.792517 | − | 0.609849i | \(-0.208770\pi\) |
−0.609849 | + | 0.792517i | \(0.708770\pi\) | |||||||
\(564\) | −1.72058 | + | 0.680908i | −0.00305067 | + | 0.00120728i | ||||
\(565\) | −292.008 | − | 292.008i | −0.516828 | − | 0.516828i | ||||
\(566\) | −315.225 | − | 479.968i | −0.556935 | − | 0.848000i | ||||
\(567\) | −6.40956 | −0.0113043 | ||||||||
\(568\) | −489.027 | + | 695.462i | −0.860963 | + | 1.22441i | ||||
\(569\) | 236.439i | 0.415535i | 0.978178 | + | 0.207767i | \(0.0666197\pi\) | ||||
−0.978178 | + | 0.207767i | \(0.933380\pi\) | |||||||
\(570\) | 28.4301 | + | 43.2882i | 0.0498774 | + | 0.0759442i | ||||
\(571\) | 686.329 | − | 686.329i | 1.20198 | − | 1.20198i | 0.228413 | − | 0.973564i | \(-0.426647\pi\) |
0.973564 | − | 0.228413i | \(-0.0733535\pi\) | |||||||
\(572\) | −766.562 | + | 1770.65i | −1.34014 | + | 3.09554i | ||||
\(573\) | 427.164 | − | 427.164i | 0.745487 | − | 0.745487i | ||||
\(574\) | −83.5945 | − | 17.3185i | −0.145635 | − | 0.0301716i | ||||
\(575\) | 62.7717i | 0.109168i | ||||||||
\(576\) | 180.680 | − | 64.9514i | 0.313681 | − | 0.112763i | ||||
\(577\) | −686.546 | −1.18985 | −0.594927 | − | 0.803780i | \(-0.702819\pi\) | ||||
−0.594927 | + | 0.803780i | \(0.702819\pi\) | |||||||
\(578\) | −92.8327 | + | 448.093i | −0.160610 | + | 0.775247i | ||||
\(579\) | 132.128 | + | 132.128i | 0.228201 | + | 0.228201i | ||||
\(580\) | 63.2395 | + | 27.3781i | 0.109034 | + | 0.0472037i | ||||
\(581\) | −0.0645621 | − | 0.0645621i | −0.000111122 | − | 0.000111122i | ||||
\(582\) | −505.400 | + | 331.928i | −0.868384 | + | 0.570323i | ||||
\(583\) | −588.288 | −1.00907 | ||||||||
\(584\) | −552.806 | − | 388.715i | −0.946585 | − | 0.665609i | ||||
\(585\) | 162.784i | 0.278263i | ||||||||
\(586\) | 767.968 | − | 504.373i | 1.31052 | − | 0.860705i | ||||
\(587\) | 276.088 | − | 276.088i | 0.470337 | − | 0.470337i | −0.431686 | − | 0.902024i | \(-0.642081\pi\) |
0.902024 | + | 0.431686i | \(0.142081\pi\) | |||||||
\(588\) | 123.628 | + | 312.395i | 0.210252 | + | 0.531284i | ||||
\(589\) | −102.984 | + | 102.984i | −0.174846 | + | 0.174846i | ||||
\(590\) | −16.6334 | + | 80.2875i | −0.0281922 | + | 0.136080i | ||||
\(591\) | 263.720i | 0.446227i | ||||||||
\(592\) | −2.90673 | + | 91.5654i | −0.00491001 | + | 0.154671i | ||||
\(593\) | −26.7788 | −0.0451582 | −0.0225791 | − | 0.999745i | \(-0.507188\pi\) | ||||
−0.0225791 | + | 0.999745i | \(0.507188\pi\) | |||||||
\(594\) | 202.282 | + | 41.9074i | 0.340542 | + | 0.0705511i | ||||
\(595\) | −8.73654 | − | 8.73654i | −0.0146833 | − | 0.0146833i | ||||
\(596\) | 247.063 | + | 624.300i | 0.414535 | + | 1.04748i | ||||
\(597\) | −0.0982451 | − | 0.0982451i | −0.000164565 | − | 0.000164565i | ||||
\(598\) | −334.477 | − | 509.280i | −0.559326 | − | 0.851640i | ||||
\(599\) | −442.840 | −0.739299 | −0.369650 | − | 0.929171i | \(-0.620522\pi\) | ||||
−0.369650 | + | 0.929171i | \(0.620522\pi\) | |||||||
\(600\) | −11.8953 | − | 68.2532i | −0.0198255 | − | 0.113755i | ||||
\(601\) | − | 418.123i | − | 0.695712i | −0.937548 | − | 0.347856i | \(-0.886910\pi\) | ||
0.937548 | − | 0.347856i | \(-0.113090\pi\) | |||||||
\(602\) | 63.8069 | + | 97.1536i | 0.105992 | + | 0.161385i | ||||
\(603\) | −165.999 | + | 165.999i | −0.275289 | + | 0.275289i | ||||
\(604\) | −91.0716 | − | 39.4274i | −0.150781 | − | 0.0652772i | ||||
\(605\) | 433.440 | − | 433.440i | 0.716430 | − | 0.716430i | ||||
\(606\) | 73.3939 | + | 15.2052i | 0.121112 | + | 0.0250911i | ||||
\(607\) | 128.126i | 0.211081i | 0.994415 | + | 0.105541i | \(0.0336573\pi\) | ||||
−0.994415 | + | 0.105541i | \(0.966343\pi\) | |||||||
\(608\) | 208.020 | + | 50.0287i | 0.342138 | + | 0.0822840i | ||||
\(609\) | −9.50371 | −0.0156054 | ||||||||
\(610\) | −41.5926 | + | 200.763i | −0.0681846 | + | 0.329119i | ||||
\(611\) | −4.58286 | − | 4.58286i | −0.00750059 | − | 0.00750059i | ||||
\(612\) | −36.9894 | + | 85.4402i | −0.0604402 | + | 0.139608i | ||||
\(613\) | −554.609 | − | 554.609i | −0.904745 | − | 0.904745i | 0.0910972 | − | 0.995842i | \(-0.470963\pi\) |
−0.995842 | + | 0.0910972i | \(0.970963\pi\) | |||||||
\(614\) | −59.7358 | + | 39.2323i | −0.0972895 | + | 0.0638962i | ||||
\(615\) | 232.131 | 0.377449 | ||||||||
\(616\) | 19.4447 | + | 111.570i | 0.0315661 | + | 0.181121i | ||||
\(617\) | − | 1021.91i | − | 1.65626i | −0.560533 | − | 0.828132i | \(-0.689404\pi\) | ||
0.560533 | − | 0.828132i | \(-0.310596\pi\) | |||||||
\(618\) | 243.854 | − | 160.154i | 0.394586 | − | 0.259150i | ||||
\(619\) | 362.637 | − | 362.637i | 0.585844 | − | 0.585844i | −0.350659 | − | 0.936503i | \(-0.614043\pi\) |
0.936503 | + | 0.350659i | \(0.114043\pi\) | |||||||
\(620\) | 181.164 | − | 71.6946i | 0.292200 | − | 0.115636i | ||||
\(621\) | −46.1276 | + | 46.1276i | −0.0742795 | + | 0.0742795i | ||||
\(622\) | 95.1197 | − | 459.132i | 0.152926 | − | 0.738154i | ||||
\(623\) | − | 60.5015i | − | 0.0971131i | ||||||
\(624\) | 460.194 | + | 490.370i | 0.737491 | + | 0.785849i | ||||
\(625\) | −25.0000 | −0.0400000 | ||||||||
\(626\) | 1039.29 | + | 215.314i | 1.66021 | + | 0.343952i | ||||
\(627\) | 162.773 | + | 162.773i | 0.259605 | + | 0.259605i | ||||
\(628\) | 815.061 | − | 322.556i | 1.29787 | − | 0.513623i | ||||
\(629\) | −31.4123 | − | 31.4123i | −0.0499400 | − | 0.0499400i | ||||
\(630\) | 5.24517 | + | 7.98639i | 0.00832567 | + | 0.0126768i | ||||
\(631\) | 1040.66 | 1.64922 | 0.824609 | − | 0.565703i | \(-0.191395\pi\) | ||||
0.824609 | + | 0.565703i | \(0.191395\pi\) | |||||||
\(632\) | −117.779 | − | 82.8188i | −0.186360 | − | 0.131042i | ||||
\(633\) | 347.993i | 0.549752i | ||||||||
\(634\) | 20.3329 | + | 30.9592i | 0.0320708 | + | 0.0488316i | ||||
\(635\) | −341.604 | + | 341.604i | −0.537959 | + | 0.537959i | ||||
\(636\) | −81.4613 | + | 188.164i | −0.128084 | + | 0.295855i | ||||
\(637\) | −832.083 | + | 832.083i | −1.30625 | + | 1.30625i | ||||
\(638\) | 299.932 | + | 62.1377i | 0.470112 | + | 0.0973946i | ||||
\(639\) | 318.819i | 0.498935i | ||||||||
\(640\) | −228.787 | − | 171.978i | −0.357480 | − | 0.268715i | ||||
\(641\) | 184.247 | 0.287437 | 0.143719 | − | 0.989619i | \(-0.454094\pi\) | ||||
0.143719 | + | 0.989619i | \(0.454094\pi\) | |||||||
\(642\) | −80.8769 | + | 390.383i | −0.125976 | + | 0.608074i | ||||
\(643\) | 52.9705 | + | 52.9705i | 0.0823803 | + | 0.0823803i | 0.747096 | − | 0.664716i | \(-0.231447\pi\) |
−0.664716 | + | 0.747096i | \(0.731447\pi\) | |||||||
\(644\) | −32.8198 | − | 14.2086i | −0.0509624 | − | 0.0220630i | ||||
\(645\) | −223.483 | − | 223.483i | −0.346486 | − | 0.346486i | ||||
\(646\) | −86.7177 | + | 56.9530i | −0.134238 | + | 0.0881626i | ||||
\(647\) | −311.336 | −0.481199 | −0.240600 | − | 0.970624i | \(-0.577344\pi\) | ||||
−0.240600 | + | 0.970624i | \(0.577344\pi\) | |||||||
\(648\) | 41.4144 | − | 58.8969i | 0.0639112 | − | 0.0908903i | ||||
\(649\) | 364.443i | 0.561545i | ||||||||
\(650\) | 202.830 | − | 133.212i | 0.312047 | − | 0.204941i | ||||
\(651\) | −18.9999 | + | 18.9999i | −0.0291858 | + | 0.0291858i | ||||
\(652\) | 319.689 | + | 807.817i | 0.490320 | + | 1.23898i | ||||
\(653\) | −177.475 | + | 177.475i | −0.271784 | + | 0.271784i | −0.829818 | − | 0.558034i | \(-0.811556\pi\) |
0.558034 | + | 0.829818i | \(0.311556\pi\) | |||||||
\(654\) | 114.510 | − | 552.726i | 0.175092 | − | 0.845147i | ||||
\(655\) | 119.742i | 0.182813i | ||||||||
\(656\) | 699.272 | − | 656.242i | 1.06596 | − | 1.00037i | ||||
\(657\) | −253.422 | −0.385726 | ||||||||
\(658\) | −0.372510 | − | 0.0771739i | −0.000566124 | − | 0.000117286i | ||||
\(659\) | 519.478 | + | 519.478i | 0.788283 | + | 0.788283i | 0.981213 | − | 0.192930i | \(-0.0617990\pi\) |
−0.192930 | + | 0.981213i | \(0.561799\pi\) | |||||||
\(660\) | −113.317 | − | 286.340i | −0.171693 | − | 0.433849i | ||||
\(661\) | 645.148 | + | 645.148i | 0.976018 | + | 0.976018i | 0.999719 | − | 0.0237011i | \(-0.00754501\pi\) |
−0.0237011 | + | 0.999719i | \(0.507545\pi\) | |||||||
\(662\) | 81.3351 | + | 123.842i | 0.122863 | + | 0.187073i | ||||
\(663\) | −326.099 | −0.491853 | ||||||||
\(664\) | 1.01042 | − | 0.176097i | 0.00152171 | − | 0.000265207i | ||||
\(665\) | 10.6472i | 0.0160108i | ||||||||
\(666\) | 18.8590 | + | 28.7151i | 0.0283169 | + | 0.0431158i | ||||
\(667\) | −68.3952 | + | 68.3952i | −0.102542 | + | 0.102542i | ||||
\(668\) | −732.781 | − | 317.241i | −1.09698 | − | 0.474912i | ||||
\(669\) | −281.601 | + | 281.601i | −0.420929 | + | 0.420929i | ||||
\(670\) | 342.681 | + | 70.9942i | 0.511464 | + | 0.105961i | ||||
\(671\) | 911.307i | 1.35813i | ||||||||
\(672\) | 38.3783 | + | 9.22997i | 0.0571106 | + | 0.0137351i | ||||
\(673\) | 589.163 | 0.875428 | 0.437714 | − | 0.899114i | \(-0.355788\pi\) | ||||
0.437714 | + | 0.899114i | \(0.355788\pi\) | |||||||
\(674\) | 60.1429 | − | 290.303i | 0.0892327 | − | 0.430716i | ||||
\(675\) | −18.3712 | − | 18.3712i | −0.0272166 | − | 0.0272166i | ||||
\(676\) | −667.224 | + | 1541.19i | −0.987018 | + | 2.27987i | ||||
\(677\) | −599.890 | − | 599.890i | −0.886101 | − | 0.886101i | 0.108045 | − | 0.994146i | \(-0.465541\pi\) |
−0.994146 | + | 0.108045i | \(0.965541\pi\) | |||||||
\(678\) | −534.741 | + | 351.199i | −0.788704 | + | 0.517992i | ||||
\(679\) | −124.309 | −0.183076 | ||||||||
\(680\) | 136.729 | − | 23.8295i | 0.201073 | − | 0.0350433i | ||||
\(681\) | − | 158.641i | − | 0.232953i | ||||||
\(682\) | 723.854 | − | 475.401i | 1.06137 | − | 0.697068i | ||||
\(683\) | 30.3287 | − | 30.3287i | 0.0444051 | − | 0.0444051i | −0.684556 | − | 0.728961i | \(-0.740004\pi\) |
0.728961 | + | 0.684556i | \(0.240004\pi\) | |||||||
\(684\) | 74.6023 | − | 29.5234i | 0.109068 | − | 0.0431629i | ||||
\(685\) | −21.5626 | + | 21.5626i | −0.0314782 | + | 0.0314782i | ||||
\(686\) | −28.1706 | + | 135.976i | −0.0410650 | + | 0.198216i | ||||
\(687\) | − | 53.1392i | − | 0.0773496i | ||||||
\(688\) | −1305.02 | − | 41.4274i | −1.89682 | − | 0.0602143i | ||||
\(689\) | −718.163 | −1.04233 | ||||||||
\(690\) | 95.2234 | + | 19.7277i | 0.138005 | + | 0.0285909i | ||||
\(691\) | −166.006 | − | 166.006i | −0.240240 | − | 0.240240i | 0.576709 | − | 0.816949i | \(-0.304337\pi\) |
−0.816949 | + | 0.576709i | \(0.804337\pi\) | |||||||
\(692\) | 328.866 | − | 130.147i | 0.475239 | − | 0.188073i | ||||
\(693\) | 30.0305 | + | 30.0305i | 0.0433341 | + | 0.0433341i | ||||
\(694\) | 370.556 | + | 564.216i | 0.533943 | + | 0.812991i | ||||
\(695\) | −306.428 | −0.440903 | ||||||||
\(696\) | 61.4069 | − | 87.3288i | 0.0882282 | − | 0.125472i | ||||
\(697\) | 465.020i | 0.667174i | ||||||||
\(698\) | −287.802 | − | 438.212i | −0.412323 | − | 0.627811i | ||||
\(699\) | 204.792 | − | 204.792i | 0.292978 | − | 0.292978i | ||||
\(700\) | 5.65884 | − | 13.0711i | 0.00808406 | − | 0.0186730i | ||||
\(701\) | −944.622 | + | 944.622i | −1.34753 | + | 1.34753i | −0.459204 | + | 0.888331i | \(0.651865\pi\) |
−0.888331 | + | 0.459204i | \(0.848135\pi\) | |||||||
\(702\) | 246.940 | + | 51.1592i | 0.351766 | + | 0.0728764i | ||||
\(703\) | 38.2820i | 0.0544552i | ||||||||
\(704\) | −1150.85 | − | 542.220i | −1.63473 | − | 0.770199i | ||||
\(705\) | 1.03441 | 0.00146725 | ||||||||
\(706\) | 23.3407 | − | 112.663i | 0.0330605 | − | 0.159579i | ||||
\(707\) | 10.8960 | + | 10.8960i | 0.0154115 | + | 0.0154115i | ||||
\(708\) | 116.567 | + | 50.4651i | 0.164643 | + | 0.0712783i | ||||
\(709\) | −13.8364 | − | 13.8364i | −0.0195154 | − | 0.0195154i | 0.697282 | − | 0.716797i | \(-0.254393\pi\) |
−0.716797 | + | 0.697282i | \(0.754393\pi\) | |||||||
\(710\) | 397.253 | − | 260.901i | 0.559512 | − | 0.367467i | ||||
\(711\) | −53.9934 | −0.0759401 | ||||||||
\(712\) | 555.943 | + | 390.922i | 0.780819 | + | 0.549047i | ||||
\(713\) | 273.473i | 0.383553i | ||||||||
\(714\) | −15.9989 | + | 10.5075i | −0.0224074 | + | 0.0147163i | ||||
\(715\) | 762.685 | − | 762.685i | 1.06669 | − | 1.06669i | ||||
\(716\) | 265.216 | + | 670.170i | 0.370413 | + | 0.935992i | ||||
\(717\) | −109.787 | + | 109.787i | −0.153120 | + | 0.153120i | ||||
\(718\) | 231.012 | − | 1115.07i | 0.321744 | − | 1.55302i | ||||
\(719\) | − | 910.813i | − | 1.26678i | −0.773834 | − | 0.633389i | \(-0.781663\pi\) | ||
0.773834 | − | 0.633389i | \(-0.218337\pi\) | |||||||
\(720\) | −107.277 | − | 3.40549i | −0.148996 | − | 0.00472985i | ||||
\(721\) | 59.9786 | 0.0831880 | ||||||||
\(722\) | −619.442 | − | 128.332i | −0.857952 | − | 0.177745i | ||||
\(723\) | 138.874 | + | 138.874i | 0.192080 | + | 0.192080i | ||||
\(724\) | −245.561 | − | 620.505i | −0.339173 | − | 0.857051i | ||||
\(725\) | −27.2397 | − | 27.2397i | −0.0375720 | − | 0.0375720i | ||||
\(726\) | −521.300 | − | 793.741i | −0.718044 | − | 1.09331i | ||||
\(727\) | 533.203 | 0.733429 | 0.366715 | − | 0.930333i | \(-0.380483\pi\) | ||||
0.366715 | + | 0.930333i | \(0.380483\pi\) | |||||||
\(728\) | 23.7375 | + | 136.202i | 0.0326065 | + | 0.187090i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | 207.384 | + | 315.767i | 0.284088 | + | 0.432557i | ||||
\(731\) | 447.696 | − | 447.696i | 0.612443 | − | 0.612443i | ||||
\(732\) | 291.481 | + | 126.190i | 0.398199 | + | 0.172391i | ||||
\(733\) | 402.506 | − | 402.506i | 0.549122 | − | 0.549122i | −0.377065 | − | 0.926187i | \(-0.623067\pi\) |
0.926187 | + | 0.377065i | \(0.123067\pi\) | |||||||
\(734\) | 252.583 | + | 52.3283i | 0.344118 | + | 0.0712920i | ||||
\(735\) | − | 187.812i | − | 0.255526i | ||||||
\(736\) | 342.622 | − | 209.772i | 0.465519 | − | 0.285016i | ||||
\(737\) | 1555.50 | 2.11059 | ||||||||
\(738\) | 72.9535 | − | 352.138i | 0.0988530 | − | 0.477152i | ||||
\(739\) | 445.842 | + | 445.842i | 0.603304 | + | 0.603304i | 0.941188 | − | 0.337884i | \(-0.109711\pi\) |
−0.337884 | + | 0.941188i | \(0.609711\pi\) | |||||||
\(740\) | 20.3464 | − | 46.9972i | 0.0274951 | − | 0.0635097i | ||||
\(741\) | 198.708 | + | 198.708i | 0.268162 | + | 0.268162i | ||||
\(742\) | −35.2341 | + | 23.1405i | −0.0474853 | + | 0.0311866i | ||||
\(743\) | −807.539 | −1.08686 | −0.543431 | − | 0.839454i | \(-0.682875\pi\) | ||||
−0.543431 | + | 0.839454i | \(0.682875\pi\) | |||||||
\(744\) | −51.8235 | − | 297.354i | −0.0696552 | − | 0.399670i | ||||
\(745\) | − | 375.330i | − | 0.503798i | ||||||
\(746\) | −145.938 | + | 95.8467i | −0.195627 | + | 0.128481i | ||||
\(747\) | 0.271965 | − | 0.271965i | 0.000364077 | − | 0.000364077i | ||||
\(748\) | 573.616 | − | 227.005i | 0.766866 | − | 0.303483i | ||||
\(749\) | −57.9558 | + | 57.9558i | −0.0773775 | + | 0.0773775i | ||||
\(750\) | −7.85694 | + | 37.9245i | −0.0104759 | + | 0.0505660i | ||||
\(751\) | − | 415.595i | − | 0.553388i | −0.960958 | − | 0.276694i | \(-0.910761\pi\) | ||
0.960958 | − | 0.276694i | \(-0.0892389\pi\) | |||||||
\(752\) | 3.11606 | − | 2.92431i | 0.00414370 | − | 0.00388871i | ||||
\(753\) | −644.724 | −0.856207 | ||||||||
\(754\) | 366.147 | + | 75.8558i | 0.485606 | + | 0.100605i | ||||
\(755\) | 39.2280 | + | 39.2280i | 0.0519576 | + | 0.0519576i | ||||
\(756\) | 13.7636 | − | 5.44688i | 0.0182059 | − | 0.00720487i | ||||
\(757\) | −714.992 | − | 714.992i | −0.944508 | − | 0.944508i | 0.0540314 | − | 0.998539i | \(-0.482793\pi\) |
−0.998539 | + | 0.0540314i | \(0.982793\pi\) | |||||||
\(758\) | 332.030 | + | 505.554i | 0.438034 | + | 0.666958i | ||||
\(759\) | 432.240 | 0.569487 | ||||||||
\(760\) | −97.8362 | − | 68.7954i | −0.128732 | − | 0.0905202i | ||||
\(761\) | − | 704.857i | − | 0.926225i | −0.886300 | − | 0.463112i | \(-0.846733\pi\) | ||
0.886300 | − | 0.463112i | \(-0.153267\pi\) | |||||||
\(762\) | 410.848 | + | 625.565i | 0.539170 | + | 0.820951i | ||||
\(763\) | 82.0570 | − | 82.0570i | 0.107545 | − | 0.107545i | ||||
\(764\) | −554.270 | + | 1280.28i | −0.725484 | + | 1.67576i | ||||
\(765\) | 36.8023 | − | 36.8023i | 0.0481076 | − | 0.0481076i | ||||
\(766\) | −680.142 | − | 140.907i | −0.887914 | − | 0.183952i | ||||
\(767\) | 444.900i | 0.580053i | ||||||||
\(768\) | −332.790 | + | 293.017i | −0.433320 | + | 0.381533i | ||||
\(769\) | 995.779 | 1.29490 | 0.647451 | − | 0.762107i | \(-0.275835\pi\) | ||||
0.647451 | + | 0.762107i | \(0.275835\pi\) | |||||||
\(770\) | 12.8434 | − | 61.9935i | 0.0166797 | − | 0.0805110i | ||||
\(771\) | 409.349 | + | 409.349i | 0.530933 | + | 0.530933i | ||||
\(772\) | −396.011 | − | 171.444i | −0.512968 | − | 0.222078i | ||||
\(773\) | −620.353 | − | 620.353i | −0.802526 | − | 0.802526i | 0.180964 | − | 0.983490i | \(-0.442078\pi\) |
−0.983490 | + | 0.180964i | \(0.942078\pi\) | |||||||
\(774\) | −409.255 | + | 268.784i | −0.528754 | + | 0.347266i | ||||
\(775\) | −108.916 | −0.140537 | ||||||||
\(776\) | 803.202 | − | 1142.26i | 1.03505 | − | 1.47199i | ||||
\(777\) | 7.06279i | 0.00908982i | ||||||||
\(778\) | −1062.63 | + | 697.898i | −1.36585 | + | 0.897042i | ||||
\(779\) | 283.359 | − | 283.359i | 0.363747 | − | 0.363747i | ||||
\(780\) | −138.334 | − | 349.555i | −0.177352 | − | 0.448148i | ||||
\(781\) | 1493.76 | − | 1493.76i | 1.91262 | − | 1.91262i | ||||
\(782\) | −39.5199 | + | 190.758i | −0.0505369 | + | 0.243936i | ||||
\(783\) | − | 40.0340i | − | 0.0511290i | ||||||
\(784\) | −530.950 | − | 565.765i | −0.677232 | − | 0.721639i | ||||
\(785\) | −490.015 | −0.624223 | ||||||||
\(786\) | 181.647 | + | 37.6323i | 0.231103 | + | 0.0478782i | ||||
\(787\) | −183.869 | − | 183.869i | −0.233633 | − | 0.233633i | 0.580574 | − | 0.814207i | \(-0.302828\pi\) |
−0.814207 | + | 0.580574i | \(0.802828\pi\) | |||||||
\(788\) | −224.111 | − | 566.303i | −0.284405 | − | 0.718658i | ||||
\(789\) | −631.056 | − | 631.056i | −0.799817 | − | 0.799817i | ||||
\(790\) | 44.1848 | + | 67.2765i | 0.0559301 | + | 0.0851602i | ||||
\(791\) | −131.525 | −0.166277 | ||||||||
\(792\) | −469.986 | + | 81.9101i | −0.593416 | + | 0.103422i | ||||
\(793\) | 1112.49i | 1.40289i | ||||||||
\(794\) | −401.949 | − | 612.015i | −0.506233 | − | 0.770799i | ||||
\(795\) | 81.0493 | − | 81.0493i | 0.101949 | − | 0.101949i | ||||
\(796\) | 0.294457 | + | 0.127479i | 0.000369921 | + | 0.000160149i | ||||
\(797\) | −257.392 | + | 257.392i | −0.322951 | + | 0.322951i | −0.849898 | − | 0.526947i | \(-0.823337\pi\) |
0.526947 | + | 0.849898i | \(0.323337\pi\) | |||||||
\(798\) | 16.1516 | + | 3.34617i | 0.0202401 | + | 0.00419320i | ||||
\(799\) | 2.07220i | 0.00259349i | ||||||||
\(800\) | 83.5455 | + | 136.456i | 0.104432 | + | 0.170570i | ||||
\(801\) | 254.860 | 0.318177 | ||||||||
\(802\) | 213.374 | − | 1029.93i | 0.266052 | − | 1.28420i | ||||
\(803\) | 1187.35 | + | 1187.35i | 1.47864 | + | 1.47864i | ||||
\(804\) | 215.394 | − | 497.528i | 0.267902 | − | 0.618816i | ||||
\(805\) | 14.1367 | + | 14.1367i | 0.0175612 | + | 0.0175612i | ||||
\(806\) | 883.658 | − | 580.354i | 1.09635 | − | 0.720043i | ||||
\(807\) | −206.981 | −0.256482 | ||||||||
\(808\) | −170.525 | + | 29.7194i | −0.211045 | + | 0.0367814i | ||||
\(809\) | 206.640i | 0.255427i | 0.991811 | + | 0.127713i | \(0.0407638\pi\) | ||||
−0.991811 | + | 0.127713i | \(0.959236\pi\) | |||||||
\(810\) | −33.6424 | + | 22.0951i | −0.0415338 | + | 0.0272779i | ||||
\(811\) | −304.478 | + | 304.478i | −0.375436 | + | 0.375436i | −0.869452 | − | 0.494017i | \(-0.835528\pi\) |
0.494017 | + | 0.869452i | \(0.335528\pi\) | |||||||
\(812\) | 20.4079 | − | 8.07631i | 0.0251329 | − | 0.00994619i | ||||
\(813\) | 330.351 | − | 330.351i | 0.406335 | − | 0.406335i | ||||
\(814\) | 46.1784 | − | 222.898i | 0.0567302 | − | 0.273830i | ||||
\(815\) | − | 485.660i | − | 0.595902i | ||||||
\(816\) | 6.82211 | − | 214.905i | 0.00836043 | − | 0.263364i | ||||
\(817\) | −545.606 | −0.667816 | ||||||||
\(818\) | −743.370 | − | 154.006i | −0.908766 | − | 0.188272i | ||||
\(819\) | 36.6603 | + | 36.6603i | 0.0447623 | + | 0.0447623i | ||||
\(820\) | −498.469 | + | 197.266i | −0.607890 | + | 0.240569i | ||||
\(821\) | −60.6328 | − | 60.6328i | −0.0738523 | − | 0.0738523i | 0.669216 | − | 0.743068i | \(-0.266630\pi\) |
−0.743068 | + | 0.669216i | \(0.766630\pi\) | |||||||
\(822\) | 25.9334 | + | 39.4867i | 0.0315491 | + | 0.0480373i | ||||
\(823\) | −961.097 | −1.16780 | −0.583899 | − | 0.811827i | \(-0.698473\pi\) | ||||
−0.583899 | + | 0.811827i | \(0.698473\pi\) | |||||||
\(824\) | −387.543 | + | 551.138i | −0.470319 | + | 0.668857i | ||||
\(825\) | 172.148i | 0.208664i | ||||||||
\(826\) | 14.3355 | + | 21.8274i | 0.0173553 | + | 0.0264255i | ||||
\(827\) | −204.781 | + | 204.781i | −0.247619 | + | 0.247619i | −0.819993 | − | 0.572374i | \(-0.806023\pi\) |
0.572374 | + | 0.819993i | \(0.306023\pi\) | |||||||
\(828\) | 59.8531 | − | 138.252i | 0.0722864 | − | 0.166971i | ||||
\(829\) | −541.386 | + | 541.386i | −0.653059 | + | 0.653059i | −0.953728 | − | 0.300669i | \(-0.902790\pi\) |
0.300669 | + | 0.953728i | \(0.402790\pi\) | |||||||
\(830\) | −0.561431 | − | 0.116313i | −0.000676423 | − | 0.000140137i | ||||
\(831\) | 618.737i | 0.744569i | ||||||||
\(832\) | −1404.92 | − | 661.926i | −1.68861 | − | 0.795584i | ||||
\(833\) | 376.237 | 0.451665 | ||||||||
\(834\) | −96.3033 | + | 464.845i | −0.115472 | + | 0.557368i | ||||
\(835\) | 315.637 | + | 315.637i | 0.378008 | + | 0.378008i | ||||
\(836\) | −487.857 | − | 211.207i | −0.583561 | − | 0.252640i | ||||
\(837\) | −80.0365 | − | 80.0365i | −0.0956230 | − | 0.0956230i | ||||
\(838\) | 741.354 | − | 486.894i | 0.884671 | − | 0.581020i | ||||
\(839\) | 1641.31 | 1.95627 | 0.978135 | − | 0.207969i | \(-0.0666854\pi\) | ||||
0.978135 | + | 0.207969i | \(0.0666854\pi\) | |||||||
\(840\) | −18.0502 | − | 12.6923i | −0.0214883 | − | 0.0151099i | ||||
\(841\) | 781.640i | 0.929417i | ||||||||
\(842\) | −991.993 | + | 651.504i | −1.17814 | + | 0.773758i | ||||
\(843\) | −384.754 | + | 384.754i | −0.456411 | + | 0.456411i | ||||
\(844\) | −295.727 | − | 747.267i | −0.350387 | − | 0.885388i | ||||
\(845\) | 663.850 | − | 663.850i | 0.785621 | − | 0.785621i | ||||
\(846\) | 0.325092 | − | 1.56918i | 0.000384270 | − | 0.00185482i | ||||
\(847\) | − | 195.229i | − | 0.230495i | ||||||
\(848\) | 15.0242 | − | 473.282i | 0.0177173 | − | 0.558116i | ||||
\(849\) | 497.295 | 0.585742 | ||||||||
\(850\) | −75.9729 | − | 15.7395i | −0.0893798 | − | 0.0185171i | ||||
\(851\) | 50.8287 | + | 50.8287i | 0.0597282 | + | 0.0597282i | ||||
\(852\) | −270.935 | − | 684.621i | −0.317998 | − | 0.803546i | ||||
\(853\) | 738.398 | + | 738.398i | 0.865648 | + | 0.865648i | 0.991987 | − | 0.126339i | \(-0.0403228\pi\) |
−0.126339 | + | 0.991987i | \(0.540323\pi\) | |||||||
\(854\) | 35.8465 | + | 54.5806i | 0.0419748 | + | 0.0639117i | ||||
\(855\) | −44.8509 | −0.0524572 | ||||||||
\(856\) | −158.078 | − | 907.024i | −0.184670 | − | 1.05961i | ||||
\(857\) | − | 1546.29i | − | 1.80431i | −0.431416 | − | 0.902153i | \(-0.641986\pi\) | ||
0.431416 | − | 0.902153i | \(-0.358014\pi\) | |||||||
\(858\) | −917.284 | − | 1396.67i | −1.06910 | − | 1.62782i | ||||
\(859\) | −50.1020 | + | 50.1020i | −0.0583260 | + | 0.0583260i | −0.735668 | − | 0.677342i | \(-0.763132\pi\) |
0.677342 | + | 0.735668i | \(0.263132\pi\) | |||||||
\(860\) | 669.817 | + | 289.982i | 0.778857 | + | 0.337188i | ||||
\(861\) | 52.2780 | − | 52.2780i | 0.0607177 | − | 0.0607177i | ||||
\(862\) | −99.2456 | − | 20.5610i | −0.115134 | − | 0.0238527i | ||||
\(863\) | 566.091i | 0.655957i | 0.944685 | + | 0.327978i | \(0.106367\pi\) | ||||
−0.944685 | + | 0.327978i | \(0.893633\pi\) | |||||||
\(864\) | −38.8809 | + | 161.667i | −0.0450010 | + | 0.187115i | ||||
\(865\) | −197.714 | −0.228571 | ||||||||
\(866\) | −169.382 | + | 817.585i | −0.195591 | + | 0.944094i | ||||
\(867\) | −280.226 | − | 280.226i | −0.323214 | − | 0.323214i | ||||
\(868\) | 24.6535 | − | 56.9460i | 0.0284026 | − | 0.0656060i | ||||
\(869\) | 252.974 | + | 252.974i | 0.291109 | + | 0.291109i | ||||
\(870\) | −49.8829 | + | 32.7612i | −0.0573366 | + | 0.0376566i | ||||
\(871\) | 1898.91 | 2.18015 | ||||||||
\(872\) | 223.815 | + | 1284.21i | 0.256669 | + | 1.47272i | ||||
\(873\) | − | 523.645i | − | 0.599822i | ||||||
\(874\) | 140.319 | − | 92.1566i | 0.160548 | − | 0.105442i | ||||
\(875\) | −5.63022 | + | 5.63022i | −0.00643454 | + | 0.00643454i | ||||
\(876\) | 544.188 | − | 215.359i | 0.621219 | − | 0.245844i | ||||
\(877\) | −441.097 | + | 441.097i | −0.502961 | + | 0.502961i | −0.912357 | − | 0.409396i | \(-0.865740\pi\) |
0.409396 | + | 0.912357i | \(0.365740\pi\) | |||||||
\(878\) | −123.869 | + | 597.902i | −0.141081 | + | 0.680981i | ||||
\(879\) | 795.691i | 0.905223i | ||||||||
\(880\) | 486.667 | + | 518.578i | 0.553031 | + | 0.589294i | ||||
\(881\) | −318.150 | −0.361124 | −0.180562 | − | 0.983564i | \(-0.557792\pi\) | ||||
−0.180562 | + | 0.983564i | \(0.557792\pi\) | |||||||
\(882\) | −284.907 | − | 59.0250i | −0.323024 | − | 0.0669218i | ||||
\(883\) | 614.668 | + | 614.668i | 0.696113 | + | 0.696113i | 0.963570 | − | 0.267457i | \(-0.0861833\pi\) |
−0.267457 | + | 0.963570i | \(0.586183\pi\) | |||||||
\(884\) | 700.252 | − | 277.121i | 0.792140 | − | 0.313485i | ||||
\(885\) | −50.2099 | − | 50.2099i | −0.0567343 | − | 0.0567343i | ||||
\(886\) | −327.965 | − | 499.366i | −0.370164 | − | 0.563619i | ||||
\(887\) | −867.460 | −0.977971 | −0.488985 | − | 0.872292i | \(-0.662633\pi\) | ||||
−0.488985 | + | 0.872292i | \(0.662633\pi\) | |||||||
\(888\) | −64.8994 | − | 45.6352i | −0.0730849 | − | 0.0513910i | ||||
\(889\) | 153.864i | 0.173076i | ||||||||
\(890\) | −208.561 | − | 317.559i | −0.234338 | − | 0.356808i | ||||
\(891\) | −126.502 | + | 126.502i | −0.141978 | + | 0.141978i | ||||
\(892\) | 365.394 | − | 844.006i | 0.409634 | − | 0.946195i | ||||
\(893\) | 1.26269 | − | 1.26269i | 0.00141399 | − | 0.00141399i | ||||
\(894\) | −569.368 | − | 117.958i | −0.636876 | − | 0.131944i | ||||
\(895\) | − | 402.906i | − | 0.450175i | ||||||
\(896\) | −90.2559 | + | 12.7940i | −0.100732 | + | 0.0142791i | ||||
\(897\) | 527.666 | 0.588256 | ||||||||
\(898\) | 234.319 | − | 1131.03i | 0.260934 | − | 1.25950i | ||||
\(899\) | −118.673 | − | 118.673i | −0.132006 | − | 0.132006i | ||||
\(900\) | 55.0615 | + | 23.8376i | 0.0611794 | + | 0.0264863i | ||||
\(901\) | 162.363 | + | 162.363i | 0.180203 | + | 0.180203i | ||||
\(902\) | −1991.67 | + | 1308.06i | −2.20806 | + | 1.45017i | ||||
\(903\) | −100.661 | −0.111474 | ||||||||
\(904\) | 849.833 | − | 1208.58i | 0.940081 | − | 1.33692i | ||||
\(905\) | 373.048i | 0.412208i | ||||||||
\(906\) | 71.8366 | − | 47.1796i | 0.0792898 | − | 0.0520747i | ||||
\(907\) | 585.460 | − | 585.460i | 0.645491 | − | 0.645491i | −0.306409 | − | 0.951900i | \(-0.599127\pi\) |
0.951900 | + | 0.306409i | \(0.0991275\pi\) | |||||||
\(908\) | 134.814 | + | 340.660i | 0.148474 | + | 0.375177i | ||||
\(909\) | −45.8988 | + | 45.8988i | −0.0504937 | + | 0.0504937i | ||||
\(910\) | 15.6788 | − | 75.6797i | 0.0172294 | − | 0.0831645i | ||||
\(911\) | − | 314.928i | − | 0.345695i | −0.984949 | − | 0.172847i | \(-0.944703\pi\) | ||
0.984949 | − | 0.172847i | \(-0.0552967\pi\) | |||||||
\(912\) | −135.109 | + | 126.795i | −0.148146 | + | 0.139029i | ||||
\(913\) | −2.54846 | −0.00279131 | ||||||||
\(914\) | 442.818 | + | 91.7399i | 0.484483 | + | 0.100372i | ||||
\(915\) | −125.552 | − | 125.552i | −0.137215 | − | 0.137215i | ||||
\(916\) | 45.1580 | + | 114.109i | 0.0492991 | + | 0.124573i | ||||
\(917\) | 26.9670 | + | 26.9670i | 0.0294079 | + | 0.0294079i | ||||
\(918\) | −44.2623 | − | 67.3946i | −0.0482160 | − | 0.0734146i | ||||
\(919\) | −1662.53 | −1.80906 | −0.904532 | − | 0.426405i | \(-0.859780\pi\) | ||||
−0.904532 | + | 0.426405i | \(0.859780\pi\) | |||||||
\(920\) | −221.244 | + | 38.5588i | −0.240482 | + | 0.0419118i | ||||
\(921\) | − | 61.8922i | − | 0.0672011i | ||||||
\(922\) | 758.796 | + | 1155.36i | 0.822990 | + | 1.25310i | ||||
\(923\) | 1823.53 | − | 1823.53i | 1.97566 | − | 1.97566i | ||||
\(924\) | −90.0065 | − | 38.9663i | −0.0974096 | − | 0.0421713i | ||||
\(925\) | −20.2435 | + | 20.2435i | −0.0218848 | + | 0.0218848i | ||||
\(926\) | −1133.41 | − | 234.811i | −1.22398 | − | 0.253576i | ||||
\(927\) | 252.657i | 0.272554i | ||||||||
\(928\) | −57.6502 | + | 239.710i | −0.0621231 | + | 0.258309i | ||||
\(929\) | −416.151 | −0.447955 | −0.223978 | − | 0.974594i | \(-0.571904\pi\) | ||||
−0.223978 | + | 0.974594i | \(0.571904\pi\) | |||||||
\(930\) | −34.2298 | + | 165.223i | −0.0368062 | + | 0.177659i | ||||
\(931\) | −229.259 | − | 229.259i | −0.246251 | − | 0.246251i | ||||
\(932\) | −265.729 | + | 613.795i | −0.285117 | + | 0.658578i | ||||
\(933\) | 287.130 | + | 287.130i | 0.307749 | + | 0.307749i | ||||
\(934\) | 514.917 | − | 338.178i | 0.551303 | − | 0.362075i | ||||
\(935\) | −344.858 | −0.368832 | ||||||||
\(936\) | −573.744 | + | 99.9932i | −0.612974 | + | 0.106830i | ||||
\(937\) | − | 251.707i | − | 0.268631i | −0.990939 | − | 0.134315i | \(-0.957116\pi\) | ||
0.990939 | − | 0.134315i | \(-0.0428835\pi\) | |||||||
\(938\) | 93.1632 | − | 61.1862i | 0.0993212 | − | 0.0652305i | ||||
\(939\) | −649.950 | + | 649.950i | −0.692172 | + | 0.692172i | ||||
\(940\) | −2.22125 | + | 0.879048i | −0.00236304 | + | 0.000935158i | ||||
\(941\) | 366.216 | − | 366.216i | 0.389177 | − | 0.389177i | −0.485217 | − | 0.874394i | \(-0.661259\pi\) |
0.874394 | + | 0.485217i | \(0.161259\pi\) | |||||||
\(942\) | −154.001 | + | 743.343i | −0.163483 | + | 0.789112i | ||||
\(943\) | − | 752.456i | − | 0.797939i | ||||||
\(944\) | −293.197 | − | 9.30748i | −0.310590 | − | 0.00985962i | ||||
\(945\) | −8.27470 | −0.00875630 | ||||||||
\(946\) | 3176.80 | + | 658.147i | 3.35814 | + | 0.695715i | ||||
\(947\) | −990.634 | − | 990.634i | −1.04608 | − | 1.04608i | −0.998886 | − | 0.0471906i | \(-0.984973\pi\) |
−0.0471906 | − | 0.998886i | \(-0.515027\pi\) | |||||||
\(948\) | 115.943 | − | 45.8839i | 0.122303 | − | 0.0484008i | ||||
\(949\) | 1449.48 | + | 1449.48i | 1.52738 | + | 1.52738i | ||||
\(950\) | 36.7031 | + | 55.8848i | 0.0386348 | + | 0.0588261i | ||||
\(951\) | −32.0769 | −0.0337296 | ||||||||
\(952\) | 25.4261 | − | 36.1593i | 0.0267080 | − | 0.0379824i | ||||
\(953\) | 757.944i | 0.795324i | 0.917532 | + | 0.397662i | \(0.130178\pi\) | ||||
−0.917532 | + | 0.397662i | \(0.869822\pi\) | |||||||
\(954\) | −97.4783 | − | 148.422i | −0.102178 | − | 0.155579i | ||||
\(955\) | 551.466 | − | 551.466i | 0.577452 | − | 0.577452i | ||||
\(956\) | 142.455 | − | 329.050i | 0.149011 | − | 0.344194i | ||||
\(957\) | −187.570 | + | 187.570i | −0.195998 | + | 0.195998i | ||||
\(958\) | −354.721 | − | 73.4886i | −0.370272 | − | 0.0767105i | ||||
\(959\) | 9.71218i | 0.0101274i | ||||||||
\(960\) | 233.257 | − | 83.8520i | 0.242976 | − | 0.0873458i | ||||
\(961\) | 486.493 | 0.506237 | ||||||||
\(962\) | 56.3731 | − | 272.107i | 0.0585999 | − | 0.282855i | ||||
\(963\) | −244.136 | − | 244.136i | −0.253516 | − | 0.253516i | ||||
\(964\) | −416.228 | − | 180.197i | −0.431772 | − | 0.186926i | ||||
\(965\) | 170.577 | + | 170.577i | 0.176764 | + | 0.176764i | ||||
\(966\) | 25.8880 | − | 17.0023i | 0.0267992 | − | 0.0176007i | ||||
\(967\) | 1492.41 | 1.54334 | 0.771670 | − | 0.636024i | \(-0.219422\pi\) | ||||
0.771670 | + | 0.636024i | \(0.219422\pi\) | |||||||
\(968\) | 1793.95 | + | 1261.45i | 1.85325 | + | 1.30315i | ||||
\(969\) | − | 89.8482i | − | 0.0927226i | ||||||
\(970\) | −652.468 | + | 428.517i | −0.672648 | + | 0.441770i | ||||
\(971\) | −770.021 | + | 770.021i | −0.793018 | + | 0.793018i | −0.981984 | − | 0.188965i | \(-0.939487\pi\) |
0.188965 | + | 0.981984i | \(0.439487\pi\) | |||||||
\(972\) | 22.9448 | + | 57.9788i | 0.0236057 | + | 0.0596489i | ||||
\(973\) | −69.0102 | + | 69.0102i | −0.0709252 | + | 0.0709252i | ||||
\(974\) | −201.641 | + | 973.300i | −0.207024 | + | 0.999281i | ||||
\(975\) | 210.153i | 0.215541i | ||||||||
\(976\) | −733.153 | − | 23.2738i | −0.751182 | − | 0.0238461i | ||||
\(977\) | 607.944 | 0.622256 | 0.311128 | − | 0.950368i | \(-0.399293\pi\) | ||||
0.311128 | + | 0.950368i | \(0.399293\pi\) | |||||||
\(978\) | −736.736 | − | 152.632i | −0.753309 | − | 0.156065i | ||||
\(979\) | −1194.09 | − | 1194.09i | −1.21970 | − | 1.21970i | ||||
\(980\) | 159.604 | + | 403.300i | 0.162861 | + | 0.411531i | ||||
\(981\) | 345.662 | + | 345.662i | 0.352357 | + | 0.352357i | ||||
\(982\) | 309.197 | + | 470.789i | 0.314865 | + | 0.479419i | ||||
\(983\) | 699.083 | 0.711173 | 0.355587 | − | 0.934643i | \(-0.384281\pi\) | ||||
0.355587 | + | 0.934643i | \(0.384281\pi\) | |||||||
\(984\) | 142.591 | + | 818.165i | 0.144910 | + | 0.831468i | ||||
\(985\) | 340.461i | 0.345646i | ||||||||
\(986\) | −65.6295 | − | 99.9286i | −0.0665613 | − | 0.101348i | ||||
\(987\) | 0.232959 | − | 0.232959i | 0.000236027 | − | 0.000236027i | ||||
\(988\) | −595.560 | − | 257.835i | −0.602794 | − | 0.260966i | ||||
\(989\) | −724.424 | + | 724.424i | −0.732482 | + | 0.732482i | ||||
\(990\) | 261.145 | + | 54.1022i | 0.263783 | + | 0.0546487i | ||||
\(991\) | − | 968.275i | − | 0.977069i | −0.872545 | − | 0.488534i | \(-0.837532\pi\) | ||
0.872545 | − | 0.488534i | \(-0.162468\pi\) | |||||||
\(992\) | 363.977 | + | 594.487i | 0.366912 | + | 0.599282i | ||||
\(993\) | −128.313 | −0.129218 | ||||||||
\(994\) | 30.7077 | − | 148.222i | 0.0308930 | − | 0.149117i | ||||
\(995\) | −0.126834 | − | 0.126834i | −0.000127471 | − | 0.000127471i | ||||
\(996\) | −0.352890 | + | 0.815126i | −0.000354308 | + | 0.000818399i | ||||
\(997\) | 871.924 | + | 871.924i | 0.874548 | + | 0.874548i | 0.992964 | − | 0.118416i | \(-0.0377817\pi\) |
−0.118416 | + | 0.992964i | \(0.537782\pi\) | |||||||
\(998\) | 632.499 | − | 415.402i | 0.633766 | − | 0.416235i | ||||
\(999\) | −29.7517 | −0.0297815 |
(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 | 240.3.bn.a.91.19 | ✓ | 64 | |
4.3 | odd | 2 | 960.3.bn.a.271.9 | 64 | |||
16.3 | odd | 4 | inner | 240.3.bn.a.211.19 | yes | 64 | |
16.13 | even | 4 | 960.3.bn.a.751.9 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.3.bn.a.91.19 | ✓ | 64 | 1.1 | even | 1 | trivial | |
240.3.bn.a.211.19 | yes | 64 | 16.3 | odd | 4 | inner | |
960.3.bn.a.271.9 | 64 | 4.3 | odd | 2 | |||
960.3.bn.a.751.9 | 64 | 16.13 | even | 4 |