Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [240,2,Mod(11,240)]
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, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("240.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 240 = 2^{4} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 240.bk (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: | \(1.91640964851\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(30\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 240.11 |
Dual form | 240.2.bk.b.131.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(161\) | \(181\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.38304 | − | 0.295312i | −0.977955 | − | 0.208817i | ||||
\(3\) | −1.72570 | + | 0.148181i | −0.996334 | + | 0.0855522i | ||||
\(4\) | 1.82558 | + | 0.816854i | 0.912791 | + | 0.408427i | ||||
\(5\) | −0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | ||||
\(6\) | 2.43047 | + | 0.304680i | 0.992234 | + | 0.124385i | ||||
\(7\) | −1.12315 | −0.424512 | −0.212256 | − | 0.977214i | \(-0.568081\pi\) | ||||
−0.212256 | + | 0.977214i | \(0.568081\pi\) | |||||||
\(8\) | −2.28362 | − | 1.66885i | −0.807382 | − | 0.590029i | ||||
\(9\) | 2.95608 | − | 0.511431i | 0.985362 | − | 0.170477i | ||||
\(10\) | 1.18677 | − | 0.769138i | 0.375290 | − | 0.243223i | ||||
\(11\) | −0.353925 | − | 0.353925i | −0.106712 | − | 0.106712i | 0.651735 | − | 0.758447i | \(-0.274042\pi\) |
−0.758447 | + | 0.651735i | \(0.774042\pi\) | |||||||
\(12\) | −3.27145 | − | 1.13913i | −0.944386 | − | 0.328838i | ||||
\(13\) | 0.745034 | − | 0.745034i | 0.206635 | − | 0.206635i | −0.596200 | − | 0.802836i | \(-0.703324\pi\) |
0.802836 | + | 0.596200i | \(0.203324\pi\) | |||||||
\(14\) | 1.55336 | + | 0.331680i | 0.415153 | + | 0.0886452i | ||||
\(15\) | 1.11548 | − | 1.32503i | 0.288014 | − | 0.342122i | ||||
\(16\) | 2.66550 | + | 2.98247i | 0.666375 | + | 0.745617i | ||||
\(17\) | − | 6.14478i | − | 1.49033i | −0.666882 | − | 0.745164i | \(-0.732371\pi\) | ||
0.666882 | − | 0.745164i | \(-0.267629\pi\) | |||||||
\(18\) | −4.23941 | − | 0.165639i | −0.999238 | − | 0.0390414i | ||||
\(19\) | −5.49163 | − | 5.49163i | −1.25987 | − | 1.25987i | −0.951156 | − | 0.308711i | \(-0.900102\pi\) |
−0.308711 | − | 0.951156i | \(-0.599898\pi\) | |||||||
\(20\) | −1.86848 | + | 0.713278i | −0.417806 | + | 0.159494i | ||||
\(21\) | 1.93822 | − | 0.166429i | 0.422955 | − | 0.0363179i | ||||
\(22\) | 0.384973 | + | 0.594009i | 0.0820765 | + | 0.126643i | ||||
\(23\) | − | 2.47584i | − | 0.516249i | −0.966112 | − | 0.258125i | \(-0.916895\pi\) | ||
0.966112 | − | 0.258125i | \(-0.0831045\pi\) | |||||||
\(24\) | 4.18814 | + | 2.54156i | 0.854900 | + | 0.518793i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | −1.25043 | + | 0.810393i | −0.245229 | + | 0.158931i | ||||
\(27\) | −5.02553 | + | 1.32061i | −0.967164 | + | 0.254152i | ||||
\(28\) | −2.05041 | − | 0.917451i | −0.387490 | − | 0.173382i | ||||
\(29\) | −4.49575 | − | 4.49575i | −0.834840 | − | 0.834840i | 0.153334 | − | 0.988174i | \(-0.450999\pi\) |
−0.988174 | + | 0.153334i | \(0.950999\pi\) | |||||||
\(30\) | −1.93404 | + | 1.50316i | −0.353106 | + | 0.274438i | ||||
\(31\) | − | 4.31976i | − | 0.775852i | −0.921690 | − | 0.387926i | \(-0.873192\pi\) | ||
0.921690 | − | 0.387926i | \(-0.126808\pi\) | |||||||
\(32\) | −2.80573 | − | 4.91202i | −0.495987 | − | 0.868330i | ||||
\(33\) | 0.663213 | + | 0.558324i | 0.115451 | + | 0.0971917i | ||||
\(34\) | −1.81462 | + | 8.49845i | −0.311206 | + | 1.45747i | ||||
\(35\) | 0.794189 | − | 0.794189i | 0.134242 | − | 0.134242i | ||||
\(36\) | 5.81434 | + | 1.48103i | 0.969057 | + | 0.246838i | ||||
\(37\) | 5.07782 | + | 5.07782i | 0.834788 | + | 0.834788i | 0.988167 | − | 0.153379i | \(-0.0490157\pi\) |
−0.153379 | + | 0.988167i | \(0.549016\pi\) | |||||||
\(38\) | 5.97339 | + | 9.21687i | 0.969011 | + | 1.49517i | ||||
\(39\) | −1.17531 | + | 1.39611i | −0.188200 | + | 0.223556i | ||||
\(40\) | 2.79482 | − | 0.434705i | 0.441900 | − | 0.0687329i | ||||
\(41\) | 10.5512 | 1.64782 | 0.823909 | − | 0.566723i | \(-0.191789\pi\) | ||||
0.823909 | + | 0.566723i | \(0.191789\pi\) | |||||||
\(42\) | −2.72978 | − | 0.342202i | −0.421215 | − | 0.0528030i | ||||
\(43\) | −1.60246 | + | 1.60246i | −0.244373 | + | 0.244373i | −0.818657 | − | 0.574283i | \(-0.805281\pi\) |
0.574283 | + | 0.818657i | \(0.305281\pi\) | |||||||
\(44\) | −0.357014 | − | 0.935224i | −0.0538219 | − | 0.140990i | ||||
\(45\) | −1.72863 | + | 2.45190i | −0.257689 | + | 0.365508i | ||||
\(46\) | −0.731146 | + | 3.42418i | −0.107802 | + | 0.504868i | ||||
\(47\) | 3.71298 | 0.541593 | 0.270797 | − | 0.962637i | \(-0.412713\pi\) | ||||
0.270797 | + | 0.962637i | \(0.412713\pi\) | |||||||
\(48\) | −5.04180 | − | 4.75187i | −0.727721 | − | 0.685873i | ||||
\(49\) | −5.73853 | −0.819790 | ||||||||
\(50\) | −0.295312 | + | 1.38304i | −0.0417634 | + | 0.195591i | ||||
\(51\) | 0.910537 | + | 10.6040i | 0.127501 | + | 1.48486i | ||||
\(52\) | 1.96871 | − | 0.751537i | 0.273010 | − | 0.104219i | ||||
\(53\) | −3.09666 | + | 3.09666i | −0.425359 | + | 0.425359i | −0.887044 | − | 0.461685i | \(-0.847245\pi\) |
0.461685 | + | 0.887044i | \(0.347245\pi\) | |||||||
\(54\) | 7.34049 | − | 0.342356i | 0.998914 | − | 0.0465887i | ||||
\(55\) | 0.500525 | 0.0674908 | ||||||||
\(56\) | 2.56485 | + | 1.87438i | 0.342743 | + | 0.250474i | ||||
\(57\) | 10.2907 | + | 8.66316i | 1.36303 | + | 1.14746i | ||||
\(58\) | 4.89014 | + | 7.54544i | 0.642107 | + | 0.990765i | ||||
\(59\) | −2.03620 | − | 2.03620i | −0.265090 | − | 0.265090i | 0.562028 | − | 0.827118i | \(-0.310021\pi\) |
−0.827118 | + | 0.562028i | \(0.810021\pi\) | |||||||
\(60\) | 3.11875 | − | 1.50778i | 0.402629 | − | 0.194653i | ||||
\(61\) | 0.543956 | − | 0.543956i | 0.0696464 | − | 0.0696464i | −0.671426 | − | 0.741072i | \(-0.734318\pi\) |
0.741072 | + | 0.671426i | \(0.234318\pi\) | |||||||
\(62\) | −1.27568 | + | 5.97439i | −0.162011 | + | 0.758749i | ||||
\(63\) | −3.32013 | + | 0.574415i | −0.418298 | + | 0.0723695i | ||||
\(64\) | 2.42985 | + | 7.62206i | 0.303731 | + | 0.952758i | ||||
\(65\) | 1.05364i | 0.130688i | ||||||||
\(66\) | −0.752369 | − | 0.968037i | −0.0926102 | − | 0.119157i | ||||
\(67\) | −2.38268 | − | 2.38268i | −0.291090 | − | 0.291090i | 0.546421 | − | 0.837511i | \(-0.315990\pi\) |
−0.837511 | + | 0.546421i | \(0.815990\pi\) | |||||||
\(68\) | 5.01939 | − | 11.2178i | 0.608690 | − | 1.36036i | ||||
\(69\) | 0.366872 | + | 4.27257i | 0.0441662 | + | 0.514357i | ||||
\(70\) | −1.33293 | + | 0.863859i | −0.159315 | + | 0.103251i | ||||
\(71\) | 14.1420i | 1.67835i | 0.543865 | + | 0.839173i | \(0.316960\pi\) | ||||
−0.543865 | + | 0.839173i | \(0.683040\pi\) | |||||||
\(72\) | −7.60408 | − | 3.76536i | −0.896150 | − | 0.443752i | ||||
\(73\) | − | 9.88440i | − | 1.15688i | −0.815724 | − | 0.578441i | \(-0.803661\pi\) | ||
0.815724 | − | 0.578441i | \(-0.196339\pi\) | |||||||
\(74\) | −5.52327 | − | 8.52235i | −0.642067 | − | 0.990703i | ||||
\(75\) | 0.148181 | + | 1.72570i | 0.0171104 | + | 0.199267i | ||||
\(76\) | −5.53956 | − | 14.5113i | −0.635431 | − | 1.66456i | ||||
\(77\) | 0.397512 | + | 0.397512i | 0.0453007 | + | 0.0453007i | ||||
\(78\) | 2.03778 | − | 1.58378i | 0.230733 | − | 0.179328i | ||||
\(79\) | − | 8.16570i | − | 0.918713i | −0.888252 | − | 0.459357i | \(-0.848080\pi\) | ||
0.888252 | − | 0.459357i | \(-0.151920\pi\) | |||||||
\(80\) | −3.99372 | − | 0.224130i | −0.446511 | − | 0.0250585i | ||||
\(81\) | 8.47688 | − | 3.02367i | 0.941875 | − | 0.335963i | ||||
\(82\) | −14.5927 | − | 3.11589i | −1.61149 | − | 0.344092i | ||||
\(83\) | −0.200632 | + | 0.200632i | −0.0220223 | + | 0.0220223i | −0.718032 | − | 0.696010i | \(-0.754957\pi\) |
0.696010 | + | 0.718032i | \(0.254957\pi\) | |||||||
\(84\) | 3.67434 | + | 1.27942i | 0.400903 | + | 0.139596i | ||||
\(85\) | 4.34501 | + | 4.34501i | 0.471283 | + | 0.471283i | ||||
\(86\) | 2.68949 | − | 1.74304i | 0.290016 | − | 0.187957i | ||||
\(87\) | 8.42451 | + | 7.09214i | 0.903202 | + | 0.760357i | ||||
\(88\) | 0.217581 | + | 1.39888i | 0.0231942 | + | 0.149121i | ||||
\(89\) | −17.1014 | −1.81275 | −0.906374 | − | 0.422477i | \(-0.861161\pi\) | ||||
−0.906374 | + | 0.422477i | \(0.861161\pi\) | |||||||
\(90\) | 3.11484 | − | 2.88059i | 0.328333 | − | 0.303641i | ||||
\(91\) | −0.836787 | + | 0.836787i | −0.0877191 | + | 0.0877191i | ||||
\(92\) | 2.02240 | − | 4.51986i | 0.210850 | − | 0.471228i | ||||
\(93\) | 0.640106 | + | 7.45462i | 0.0663759 | + | 0.773008i | ||||
\(94\) | −5.13518 | − | 1.09649i | −0.529654 | − | 0.113094i | ||||
\(95\) | 7.76634 | 0.796810 | ||||||||
\(96\) | 5.56971 | + | 8.06091i | 0.568456 | + | 0.822714i | ||||
\(97\) | −13.3983 | −1.36039 | −0.680195 | − | 0.733031i | \(-0.738105\pi\) | ||||
−0.680195 | + | 0.733031i | \(0.738105\pi\) | |||||||
\(98\) | 7.93660 | + | 1.69465i | 0.801717 | + | 0.171186i | ||||
\(99\) | −1.22724 | − | 0.865224i | −0.123342 | − | 0.0869583i | ||||
\(100\) | 0.816854 | − | 1.82558i | 0.0816854 | − | 0.182558i | ||||
\(101\) | −3.36893 | + | 3.36893i | −0.335221 | + | 0.335221i | −0.854565 | − | 0.519344i | \(-0.826176\pi\) |
0.519344 | + | 0.854565i | \(0.326176\pi\) | |||||||
\(102\) | 1.87219 | − | 14.9347i | 0.185375 | − | 1.47875i | ||||
\(103\) | 15.6861 | 1.54560 | 0.772800 | − | 0.634650i | \(-0.218856\pi\) | ||||
0.772800 | + | 0.634650i | \(0.218856\pi\) | |||||||
\(104\) | −2.94473 | + | 0.458022i | −0.288755 | + | 0.0449127i | ||||
\(105\) | −1.25285 | + | 1.48822i | −0.122265 | + | 0.145235i | ||||
\(106\) | 5.19727 | − | 3.36831i | 0.504804 | − | 0.327160i | ||||
\(107\) | −3.35432 | − | 3.35432i | −0.324274 | − | 0.324274i | 0.526130 | − | 0.850404i | \(-0.323643\pi\) |
−0.850404 | + | 0.526130i | \(0.823643\pi\) | |||||||
\(108\) | −10.2533 | − | 1.69424i | −0.986621 | − | 0.163029i | ||||
\(109\) | 0.0567858 | − | 0.0567858i | 0.00543909 | − | 0.00543909i | −0.704382 | − | 0.709821i | \(-0.748776\pi\) |
0.709821 | + | 0.704382i | \(0.248776\pi\) | |||||||
\(110\) | −0.692245 | − | 0.147811i | −0.0660030 | − | 0.0140932i | ||||
\(111\) | −9.51523 | − | 8.01036i | −0.903145 | − | 0.760309i | ||||
\(112\) | −2.99376 | − | 3.34977i | −0.282884 | − | 0.316523i | ||||
\(113\) | − | 2.12147i | − | 0.199571i | −0.995009 | − | 0.0997857i | \(-0.968184\pi\) | ||
0.995009 | − | 0.0997857i | \(-0.0318157\pi\) | |||||||
\(114\) | −11.6740 | − | 15.0204i | −1.09337 | − | 1.40679i | ||||
\(115\) | 1.75069 | + | 1.75069i | 0.163252 | + | 0.163252i | ||||
\(116\) | −4.53499 | − | 11.8797i | −0.421063 | − | 1.10301i | ||||
\(117\) | 1.82135 | − | 2.58342i | 0.168384 | − | 0.238837i | ||||
\(118\) | 2.21482 | + | 3.41745i | 0.203891 | + | 0.314602i | ||||
\(119\) | 6.90152i | 0.632661i | ||||||||
\(120\) | −4.75861 | + | 1.16431i | −0.434400 | + | 0.106286i | ||||
\(121\) | − | 10.7495i | − | 0.977225i | ||||||
\(122\) | −0.912948 | + | 0.591675i | −0.0826544 | + | 0.0535677i | ||||
\(123\) | −18.2082 | + | 1.56348i | −1.64178 | + | 0.140974i | ||||
\(124\) | 3.52862 | − | 7.88608i | 0.316879 | − | 0.708191i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | 4.76150 | + | 0.186037i | 0.424188 | + | 0.0165735i | ||||
\(127\) | 20.4253i | 1.81245i | 0.422796 | + | 0.906225i | \(0.361049\pi\) | ||||
−0.422796 | + | 0.906225i | \(0.638951\pi\) | |||||||
\(128\) | −1.10968 | − | 11.2592i | −0.0980832 | − | 0.995178i | ||||
\(129\) | 2.52792 | − | 3.00283i | 0.222571 | − | 0.264384i | ||||
\(130\) | 0.311152 | − | 1.45722i | 0.0272898 | − | 0.127807i | ||||
\(131\) | 4.66794 | − | 4.66794i | 0.407840 | − | 0.407840i | −0.473145 | − | 0.880985i | \(-0.656881\pi\) |
0.880985 | + | 0.473145i | \(0.156881\pi\) | |||||||
\(132\) | 0.754681 | + | 1.56101i | 0.0656866 | + | 0.135869i | ||||
\(133\) | 6.16794 | + | 6.16794i | 0.534828 | + | 0.534828i | ||||
\(134\) | 2.59170 | + | 3.99896i | 0.223888 | + | 0.345458i | ||||
\(135\) | 2.61978 | − | 4.48740i | 0.225474 | − | 0.386214i | ||||
\(136\) | −10.2547 | + | 14.0323i | −0.879337 | + | 1.20326i | ||||
\(137\) | 0.593951 | 0.0507446 | 0.0253723 | − | 0.999678i | \(-0.491923\pi\) | ||||
0.0253723 | + | 0.999678i | \(0.491923\pi\) | |||||||
\(138\) | 0.754341 | − | 6.01746i | 0.0642138 | − | 0.512240i | ||||
\(139\) | 11.7056 | − | 11.7056i | 0.992854 | − | 0.992854i | −0.00712063 | − | 0.999975i | \(-0.502267\pi\) |
0.999975 | + | 0.00712063i | \(0.00226659\pi\) | |||||||
\(140\) | 2.09859 | − | 0.801120i | 0.177363 | − | 0.0677070i | ||||
\(141\) | −6.40749 | + | 0.550191i | −0.539608 | + | 0.0463345i | ||||
\(142\) | 4.17630 | − | 19.5589i | 0.350467 | − | 1.64135i | ||||
\(143\) | −0.527372 | −0.0441011 | ||||||||
\(144\) | 9.40477 | + | 7.45321i | 0.783731 | + | 0.621101i | ||||
\(145\) | 6.35795 | 0.527999 | ||||||||
\(146\) | −2.91898 | + | 13.6705i | −0.241576 | + | 1.13138i | ||||
\(147\) | 9.90298 | − | 0.850339i | 0.816784 | − | 0.0701348i | ||||
\(148\) | 5.12214 | + | 13.4178i | 0.421037 | + | 1.10294i | ||||
\(149\) | −12.6860 | + | 12.6860i | −1.03927 | + | 1.03927i | −0.0400778 | + | 0.999197i | \(0.512761\pi\) |
−0.999197 | + | 0.0400778i | \(0.987239\pi\) | |||||||
\(150\) | 0.304680 | − | 2.43047i | 0.0248770 | − | 0.198447i | ||||
\(151\) | −20.3694 | −1.65764 | −0.828818 | − | 0.559518i | \(-0.810986\pi\) | ||||
−0.828818 | + | 0.559518i | \(0.810986\pi\) | |||||||
\(152\) | 3.37607 | + | 21.7055i | 0.273835 | + | 1.76055i | ||||
\(153\) | −3.14263 | − | 18.1645i | −0.254067 | − | 1.46851i | ||||
\(154\) | −0.432383 | − | 0.667163i | −0.0348424 | − | 0.0537615i | ||||
\(155\) | 3.05453 | + | 3.05453i | 0.245346 | + | 0.245346i | ||||
\(156\) | −3.28603 | + | 1.58865i | −0.263093 | + | 0.127194i | ||||
\(157\) | 13.3188 | − | 13.3188i | 1.06296 | − | 1.06296i | 0.0650759 | − | 0.997880i | \(-0.479271\pi\) |
0.997880 | − | 0.0650759i | \(-0.0207289\pi\) | |||||||
\(158\) | −2.41143 | + | 11.2935i | −0.191843 | + | 0.898460i | ||||
\(159\) | 4.88504 | − | 5.80277i | 0.387409 | − | 0.460190i | ||||
\(160\) | 5.45727 | + | 1.48937i | 0.431435 | + | 0.117745i | ||||
\(161\) | 2.78075i | 0.219154i | ||||||||
\(162\) | −12.6168 | + | 1.67852i | −0.991266 | + | 0.131877i | ||||
\(163\) | −5.17232 | − | 5.17232i | −0.405127 | − | 0.405127i | 0.474908 | − | 0.880035i | \(-0.342481\pi\) |
−0.880035 | + | 0.474908i | \(0.842481\pi\) | |||||||
\(164\) | 19.2620 | + | 8.61877i | 1.50411 | + | 0.673013i | ||||
\(165\) | −0.863757 | + | 0.0741682i | −0.0672434 | + | 0.00577399i | ||||
\(166\) | 0.336731 | − | 0.218233i | 0.0261354 | − | 0.0169382i | ||||
\(167\) | 0.100449i | 0.00777299i | 0.999992 | + | 0.00388649i | \(0.00123711\pi\) | ||||
−0.999992 | + | 0.00388649i | \(0.998763\pi\) | |||||||
\(168\) | −4.70392 | − | 2.85455i | −0.362915 | − | 0.220234i | ||||
\(169\) | 11.8898i | 0.914604i | ||||||||
\(170\) | −4.72618 | − | 7.29245i | −0.362482 | − | 0.559305i | ||||
\(171\) | −19.0423 | − | 13.4251i | −1.45620 | − | 1.02665i | ||||
\(172\) | −4.23441 | + | 1.61645i | −0.322871 | + | 0.123253i | ||||
\(173\) | 8.07334 | + | 8.07334i | 0.613805 | + | 0.613805i | 0.943935 | − | 0.330130i | \(-0.107093\pi\) |
−0.330130 | + | 0.943935i | \(0.607093\pi\) | |||||||
\(174\) | −9.55701 | − | 12.2965i | −0.724515 | − | 0.932199i | ||||
\(175\) | 1.12315i | 0.0849023i | ||||||||
\(176\) | 0.112183 | − | 1.99896i | 0.00845611 | − | 0.150677i | ||||
\(177\) | 3.81559 | + | 3.21214i | 0.286798 | + | 0.241440i | ||||
\(178\) | 23.6519 | + | 5.05025i | 1.77278 | + | 0.378532i | ||||
\(179\) | 9.73444 | − | 9.73444i | 0.727586 | − | 0.727586i | −0.242552 | − | 0.970138i | \(-0.577985\pi\) |
0.970138 | + | 0.242552i | \(0.0779845\pi\) | |||||||
\(180\) | −5.15861 | + | 3.06411i | −0.384500 | + | 0.228385i | ||||
\(181\) | −8.76867 | − | 8.76867i | −0.651770 | − | 0.651770i | 0.301649 | − | 0.953419i | \(-0.402463\pi\) |
−0.953419 | + | 0.301649i | \(0.902463\pi\) | |||||||
\(182\) | 1.40442 | − | 0.910194i | 0.104103 | − | 0.0674681i | ||||
\(183\) | −0.858101 | + | 1.01931i | −0.0634327 | + | 0.0753495i | ||||
\(184\) | −4.13182 | + | 5.65389i | −0.304602 | + | 0.416810i | ||||
\(185\) | −7.18112 | −0.527966 | ||||||||
\(186\) | 1.31615 | − | 10.4990i | 0.0965045 | − | 0.769827i | ||||
\(187\) | −2.17479 | + | 2.17479i | −0.159036 | + | 0.159036i | ||||
\(188\) | 6.77834 | + | 3.03296i | 0.494362 | + | 0.221201i | ||||
\(189\) | 5.64444 | − | 1.48325i | 0.410573 | − | 0.107890i | ||||
\(190\) | −10.7411 | − | 2.29349i | −0.779244 | − | 0.166387i | ||||
\(191\) | 9.44638 | 0.683516 | 0.341758 | − | 0.939788i | \(-0.388978\pi\) | ||||
0.341758 | + | 0.939788i | \(0.388978\pi\) | |||||||
\(192\) | −5.32263 | − | 12.7933i | −0.384128 | − | 0.923280i | ||||
\(193\) | −8.02406 | −0.577585 | −0.288792 | − | 0.957392i | \(-0.593254\pi\) | ||||
−0.288792 | + | 0.957392i | \(0.593254\pi\) | |||||||
\(194\) | 18.5303 | + | 3.95667i | 1.33040 | + | 0.284072i | ||||
\(195\) | −0.156129 | − | 1.81826i | −0.0111806 | − | 0.130209i | ||||
\(196\) | −10.4762 | − | 4.68754i | −0.748297 | − | 0.334824i | ||||
\(197\) | −2.93926 | + | 2.93926i | −0.209414 | + | 0.209414i | −0.804018 | − | 0.594604i | \(-0.797309\pi\) |
0.594604 | + | 0.804018i | \(0.297309\pi\) | |||||||
\(198\) | 1.44181 | + | 1.55906i | 0.102465 | + | 0.110797i | ||||
\(199\) | 11.4537 | 0.811930 | 0.405965 | − | 0.913889i | \(-0.366936\pi\) | ||||
0.405965 | + | 0.913889i | \(0.366936\pi\) | |||||||
\(200\) | −1.66885 | + | 2.28362i | −0.118006 | + | 0.161476i | ||||
\(201\) | 4.46485 | + | 3.75872i | 0.314926 | + | 0.265120i | ||||
\(202\) | 5.65424 | − | 3.66447i | 0.397831 | − | 0.257831i | ||||
\(203\) | 5.04942 | + | 5.04942i | 0.354399 | + | 0.354399i | ||||
\(204\) | −6.99970 | + | 20.1023i | −0.490077 | + | 1.40744i | ||||
\(205\) | −7.46081 | + | 7.46081i | −0.521086 | + | 0.521086i | ||||
\(206\) | −21.6945 | − | 4.63229i | −1.51153 | − | 0.322747i | ||||
\(207\) | −1.26622 | − | 7.31881i | −0.0880086 | − | 0.508692i | ||||
\(208\) | 4.20793 | + | 0.236152i | 0.291767 | + | 0.0163742i | ||||
\(209\) | 3.88725i | 0.268887i | ||||||||
\(210\) | 2.17222 | − | 1.68828i | 0.149898 | − | 0.116502i | ||||
\(211\) | 15.0006 | + | 15.0006i | 1.03268 | + | 1.03268i | 0.999448 | + | 0.0332334i | \(0.0105805\pi\) |
0.0332334 | + | 0.999448i | \(0.489420\pi\) | |||||||
\(212\) | −8.18272 | + | 3.12369i | −0.561992 | + | 0.214536i | ||||
\(213\) | −2.09557 | − | 24.4048i | −0.143586 | − | 1.67219i | ||||
\(214\) | 3.64858 | + | 5.62972i | 0.249412 | + | 0.384840i | ||||
\(215\) | − | 2.26623i | − | 0.154555i | ||||||
\(216\) | 13.6803 | + | 5.37111i | 0.930828 | + | 0.365458i | ||||
\(217\) | 4.85175i | 0.329358i | ||||||||
\(218\) | −0.0953063 | + | 0.0617673i | −0.00645496 | + | 0.00418341i | ||||
\(219\) | 1.46468 | + | 17.0575i | 0.0989737 | + | 1.15264i | ||||
\(220\) | 0.913750 | + | 0.408856i | 0.0616050 | + | 0.0275651i | ||||
\(221\) | −4.57807 | − | 4.57807i | −0.307954 | − | 0.307954i | ||||
\(222\) | 10.7944 | + | 13.8886i | 0.724470 | + | 0.932140i | ||||
\(223\) | 20.9105i | 1.40027i | 0.714009 | + | 0.700136i | \(0.246877\pi\) | ||||
−0.714009 | + | 0.700136i | \(0.753123\pi\) | |||||||
\(224\) | 3.15126 | + | 5.51694i | 0.210552 | + | 0.368616i | ||||
\(225\) | −0.511431 | − | 2.95608i | −0.0340954 | − | 0.197072i | ||||
\(226\) | −0.626496 | + | 2.93408i | −0.0416739 | + | 0.195172i | ||||
\(227\) | 9.05527 | − | 9.05527i | 0.601019 | − | 0.601019i | −0.339564 | − | 0.940583i | \(-0.610279\pi\) |
0.940583 | + | 0.339564i | \(0.110279\pi\) | |||||||
\(228\) | 11.7099 | + | 24.2213i | 0.775508 | + | 1.60409i | ||||
\(229\) | 10.7014 | + | 10.7014i | 0.707171 | + | 0.707171i | 0.965939 | − | 0.258768i | \(-0.0833167\pi\) |
−0.258768 | + | 0.965939i | \(0.583317\pi\) | |||||||
\(230\) | −1.90427 | − | 2.93826i | −0.125564 | − | 0.193743i | ||||
\(231\) | −0.744890 | − | 0.627083i | −0.0490101 | − | 0.0412590i | ||||
\(232\) | 2.76384 | + | 17.7694i | 0.181455 | + | 1.16662i | ||||
\(233\) | −1.04584 | −0.0685151 | −0.0342576 | − | 0.999413i | \(-0.510907\pi\) | ||||
−0.0342576 | + | 0.999413i | \(0.510907\pi\) | |||||||
\(234\) | −3.28191 | + | 3.03510i | −0.214545 | + | 0.198410i | ||||
\(235\) | −2.62547 | + | 2.62547i | −0.171267 | + | 0.171267i | ||||
\(236\) | −2.05397 | − | 5.38052i | −0.133702 | − | 0.350242i | ||||
\(237\) | 1.21000 | + | 14.0916i | 0.0785979 | + | 0.915345i | ||||
\(238\) | 2.03810 | − | 9.54506i | 0.132110 | − | 0.618714i | ||||
\(239\) | 22.0221 | 1.42449 | 0.712244 | − | 0.701932i | \(-0.247679\pi\) | ||||
0.712244 | + | 0.701932i | \(0.247679\pi\) | |||||||
\(240\) | 6.92517 | − | 0.205010i | 0.447018 | − | 0.0132333i | ||||
\(241\) | −17.6559 | −1.13732 | −0.568658 | − | 0.822574i | \(-0.692537\pi\) | ||||
−0.568658 | + | 0.822574i | \(0.692537\pi\) | |||||||
\(242\) | −3.17445 | + | 14.8669i | −0.204061 | + | 0.955682i | ||||
\(243\) | −14.1805 | + | 6.47405i | −0.909680 | + | 0.415311i | ||||
\(244\) | 1.43737 | − | 0.548704i | 0.0920181 | − | 0.0351272i | ||||
\(245\) | 4.05775 | − | 4.05775i | 0.259240 | − | 0.259240i | ||||
\(246\) | 25.6443 | + | 3.21474i | 1.63502 | + | 0.204964i | ||||
\(247\) | −8.18291 | −0.520666 | ||||||||
\(248\) | −7.20906 | + | 9.86470i | −0.457776 | + | 0.626409i | ||||
\(249\) | 0.316502 | − | 0.375961i | 0.0200575 | − | 0.0238256i | ||||
\(250\) | −0.769138 | − | 1.18677i | −0.0486445 | − | 0.0750580i | ||||
\(251\) | 4.59329 | + | 4.59329i | 0.289926 | + | 0.289926i | 0.837051 | − | 0.547125i | \(-0.184278\pi\) |
−0.547125 | + | 0.837051i | \(0.684278\pi\) | |||||||
\(252\) | −6.53039 | − | 1.66342i | −0.411376 | − | 0.104786i | ||||
\(253\) | −0.876263 | + | 0.876263i | −0.0550902 | + | 0.0550902i | ||||
\(254\) | 6.03182 | − | 28.2489i | 0.378470 | − | 1.77249i | ||||
\(255\) | −8.14204 | − | 6.85435i | −0.509874 | − | 0.429236i | ||||
\(256\) | −1.79023 | + | 15.8995i | −0.111889 | + | 0.993721i | ||||
\(257\) | 9.11566i | 0.568620i | 0.958732 | + | 0.284310i | \(0.0917644\pi\) | ||||
−0.958732 | + | 0.284310i | \(0.908236\pi\) | |||||||
\(258\) | −4.38298 | + | 3.40650i | −0.272872 | + | 0.212079i | ||||
\(259\) | −5.70316 | − | 5.70316i | −0.354377 | − | 0.354377i | ||||
\(260\) | −0.860668 | + | 1.92350i | −0.0533764 | + | 0.119291i | ||||
\(261\) | −15.5891 | − | 10.9906i | −0.964941 | − | 0.680299i | ||||
\(262\) | −7.83443 | + | 5.07744i | −0.484013 | + | 0.313685i | ||||
\(263\) | − | 24.4415i | − | 1.50713i | −0.657374 | − | 0.753564i | \(-0.728333\pi\) | ||
0.657374 | − | 0.753564i | \(-0.271667\pi\) | |||||||
\(264\) | −0.582767 | − | 2.38181i | −0.0358668 | − | 0.146590i | ||||
\(265\) | − | 4.37934i | − | 0.269021i | ||||||
\(266\) | −6.70902 | − | 10.3520i | −0.411357 | − | 0.634719i | ||||
\(267\) | 29.5119 | − | 2.53410i | 1.80610 | − | 0.155084i | ||||
\(268\) | −2.40347 | − | 6.29607i | −0.146815 | − | 0.384594i | ||||
\(269\) | −11.9844 | − | 11.9844i | −0.730703 | − | 0.730703i | 0.240056 | − | 0.970759i | \(-0.422834\pi\) |
−0.970759 | + | 0.240056i | \(0.922834\pi\) | |||||||
\(270\) | −4.94843 | + | 5.43259i | −0.301152 | + | 0.330617i | ||||
\(271\) | 8.84453i | 0.537267i | 0.963242 | + | 0.268633i | \(0.0865720\pi\) | ||||
−0.963242 | + | 0.268633i | \(0.913428\pi\) | |||||||
\(272\) | 18.3266 | − | 16.3789i | 1.11121 | − | 0.993117i | ||||
\(273\) | 1.32005 | − | 1.56804i | 0.0798930 | − | 0.0949021i | ||||
\(274\) | −0.821456 | − | 0.175401i | −0.0496260 | − | 0.0105963i | ||||
\(275\) | −0.353925 | + | 0.353925i | −0.0213425 | + | 0.0213425i | ||||
\(276\) | −2.82031 | + | 8.09960i | −0.169763 | + | 0.487539i | ||||
\(277\) | −9.20943 | − | 9.20943i | −0.553341 | − | 0.553341i | 0.374062 | − | 0.927404i | \(-0.377965\pi\) |
−0.927404 | + | 0.374062i | \(0.877965\pi\) | |||||||
\(278\) | −19.6460 | + | 12.7325i | −1.17829 | + | 0.763642i | ||||
\(279\) | −2.20926 | − | 12.7696i | −0.132265 | − | 0.764495i | ||||
\(280\) | −3.13901 | + | 0.488240i | −0.187592 | + | 0.0291779i | ||||
\(281\) | 10.0855 | 0.601649 | 0.300824 | − | 0.953680i | \(-0.402738\pi\) | ||||
0.300824 | + | 0.953680i | \(0.402738\pi\) | |||||||
\(282\) | 9.02427 | + | 1.13127i | 0.537387 | + | 0.0673662i | ||||
\(283\) | 2.04983 | − | 2.04983i | 0.121850 | − | 0.121850i | −0.643552 | − | 0.765402i | \(-0.722540\pi\) |
0.765402 | + | 0.643552i | \(0.222540\pi\) | |||||||
\(284\) | −11.5519 | + | 25.8174i | −0.685482 | + | 1.53198i | ||||
\(285\) | −13.4024 | + | 1.15082i | −0.793888 | + | 0.0681688i | ||||
\(286\) | 0.729376 | + | 0.155739i | 0.0431289 | + | 0.00920905i | ||||
\(287\) | −11.8506 | −0.699518 | ||||||||
\(288\) | −10.8061 | − | 13.0854i | −0.636757 | − | 0.771065i | ||||
\(289\) | −20.7583 | −1.22108 | ||||||||
\(290\) | −8.79329 | − | 1.87758i | −0.516360 | − | 0.110255i | ||||
\(291\) | 23.1214 | − | 1.98537i | 1.35540 | − | 0.116384i | ||||
\(292\) | 8.07411 | − | 18.0448i | 0.472502 | − | 1.05599i | ||||
\(293\) | 13.6551 | − | 13.6551i | 0.797741 | − | 0.797741i | −0.184998 | − | 0.982739i | \(-0.559228\pi\) |
0.982739 | + | 0.184998i | \(0.0592277\pi\) | |||||||
\(294\) | −13.9473 | − | 1.74842i | −0.813423 | − | 0.101970i | ||||
\(295\) | 2.87962 | 0.167658 | ||||||||
\(296\) | −3.12167 | − | 20.0699i | −0.181443 | − | 1.16654i | ||||
\(297\) | 2.24606 | + | 1.31126i | 0.130330 | + | 0.0760873i | ||||
\(298\) | 21.2915 | − | 13.7988i | 1.23338 | − | 0.799345i | ||||
\(299\) | −1.84459 | − | 1.84459i | −0.106675 | − | 0.106675i | ||||
\(300\) | −1.13913 | + | 3.27145i | −0.0657677 | + | 0.188877i | ||||
\(301\) | 1.79981 | − | 1.79981i | 0.103739 | − | 0.103739i | ||||
\(302\) | 28.1716 | + | 6.01532i | 1.62109 | + | 0.346143i | ||||
\(303\) | 5.31455 | − | 6.31297i | 0.305313 | − | 0.362671i | ||||
\(304\) | 1.74067 | − | 31.0166i | 0.0998344 | − | 1.77892i | ||||
\(305\) | 0.769270i | 0.0440483i | ||||||||
\(306\) | −1.01781 | + | 26.0502i | −0.0581844 | + | 1.48919i | ||||
\(307\) | 0.351696 | + | 0.351696i | 0.0200724 | + | 0.0200724i | 0.717072 | − | 0.696999i | \(-0.245482\pi\) |
−0.696999 | + | 0.717072i | \(0.745482\pi\) | |||||||
\(308\) | 0.400981 | + | 1.05040i | 0.0228480 | + | 0.0598520i | ||||
\(309\) | −27.0695 | + | 2.32438i | −1.53993 | + | 0.132229i | ||||
\(310\) | −3.32249 | − | 5.12657i | −0.188705 | − | 0.291170i | ||||
\(311\) | − | 25.3543i | − | 1.43771i | −0.695159 | − | 0.718856i | \(-0.744666\pi\) | ||
0.695159 | − | 0.718856i | \(-0.255334\pi\) | |||||||
\(312\) | 5.01385 | − | 1.22676i | 0.283853 | − | 0.0694516i | ||||
\(313\) | − | 21.4154i | − | 1.21047i | −0.796046 | − | 0.605236i | \(-0.793079\pi\) | ||
0.796046 | − | 0.605236i | \(-0.206921\pi\) | |||||||
\(314\) | −22.3536 | + | 14.4872i | −1.26149 | + | 0.817560i | ||||
\(315\) | 1.94152 | − | 2.75386i | 0.109392 | − | 0.155163i | ||||
\(316\) | 6.67018 | − | 14.9072i | 0.375227 | − | 0.838593i | ||||
\(317\) | −14.6915 | − | 14.6915i | −0.825156 | − | 0.825156i | 0.161686 | − | 0.986842i | \(-0.448307\pi\) |
−0.986842 | + | 0.161686i | \(0.948307\pi\) | |||||||
\(318\) | −8.46982 | + | 6.58284i | −0.474964 | + | 0.369147i | ||||
\(319\) | 3.18232i | 0.178176i | ||||||||
\(320\) | −7.10777 | − | 3.67145i | −0.397337 | − | 0.205240i | ||||
\(321\) | 6.28560 | + | 5.29151i | 0.350828 | + | 0.295343i | ||||
\(322\) | 0.821188 | − | 3.84588i | 0.0457630 | − | 0.214323i | ||||
\(323\) | −33.7449 | + | 33.7449i | −1.87761 | + | 1.87761i | ||||
\(324\) | 17.9451 | + | 1.40442i | 0.996952 | + | 0.0780232i | ||||
\(325\) | −0.745034 | − | 0.745034i | −0.0413271 | − | 0.0413271i | ||||
\(326\) | 5.62606 | + | 8.68096i | 0.311599 | + | 0.480794i | ||||
\(327\) | −0.0895807 | + | 0.106410i | −0.00495382 | + | 0.00588447i | ||||
\(328\) | −24.0949 | − | 17.6084i | −1.33042 | − | 0.972260i | ||||
\(329\) | −4.17024 | −0.229913 | ||||||||
\(330\) | 1.21651 | + | 0.152500i | 0.0669667 | + | 0.00839486i | ||||
\(331\) | 13.6051 | − | 13.6051i | 0.747806 | − | 0.747806i | −0.226261 | − | 0.974067i | \(-0.572650\pi\) |
0.974067 | + | 0.226261i | \(0.0726503\pi\) | |||||||
\(332\) | −0.530158 | + | 0.202383i | −0.0290962 | + | 0.0111072i | ||||
\(333\) | 17.6074 | + | 12.4135i | 0.964880 | + | 0.680256i | ||||
\(334\) | 0.0296638 | − | 0.138925i | 0.00162313 | − | 0.00760163i | ||||
\(335\) | 3.36961 | 0.184102 | ||||||||
\(336\) | 5.66271 | + | 5.33707i | 0.308926 | + | 0.291161i | ||||
\(337\) | 21.0315 | 1.14566 | 0.572830 | − | 0.819674i | \(-0.305846\pi\) | ||||
0.572830 | + | 0.819674i | \(0.305846\pi\) | |||||||
\(338\) | 3.51121 | − | 16.4441i | 0.190985 | − | 0.894441i | ||||
\(339\) | 0.314361 | + | 3.66103i | 0.0170738 | + | 0.198840i | ||||
\(340\) | 4.38294 | + | 11.4814i | 0.237698 | + | 0.622667i | ||||
\(341\) | −1.52887 | + | 1.52887i | −0.0827931 | + | 0.0827931i | ||||
\(342\) | 22.3716 | + | 24.1909i | 1.20972 | + | 1.30809i | ||||
\(343\) | 14.3073 | 0.772522 | ||||||||
\(344\) | 6.33370 | − | 0.985140i | 0.341490 | − | 0.0531152i | ||||
\(345\) | −3.28058 | − | 2.76174i | −0.176620 | − | 0.148687i | ||||
\(346\) | −8.78158 | − | 13.5499i | −0.472101 | − | 0.728446i | ||||
\(347\) | −0.769673 | − | 0.769673i | −0.0413182 | − | 0.0413182i | 0.686146 | − | 0.727464i | \(-0.259301\pi\) |
−0.727464 | + | 0.686146i | \(0.759301\pi\) | |||||||
\(348\) | 9.58639 | + | 19.8289i | 0.513884 | + | 1.06294i | ||||
\(349\) | −8.62944 | + | 8.62944i | −0.461923 | + | 0.461923i | −0.899285 | − | 0.437362i | \(-0.855913\pi\) |
0.437362 | + | 0.899285i | \(0.355913\pi\) | |||||||
\(350\) | 0.331680 | − | 1.55336i | 0.0177290 | − | 0.0830306i | ||||
\(351\) | −2.76029 | + | 4.72810i | −0.147334 | + | 0.252367i | ||||
\(352\) | −0.745468 | + | 2.73150i | −0.0397336 | + | 0.145590i | ||||
\(353\) | − | 8.64254i | − | 0.459996i | −0.973191 | − | 0.229998i | \(-0.926128\pi\) | ||
0.973191 | − | 0.229998i | \(-0.0738720\pi\) | |||||||
\(354\) | −4.32852 | − | 5.56930i | −0.230058 | − | 0.296005i | ||||
\(355\) | −9.99990 | − | 9.99990i | −0.530740 | − | 0.530740i | ||||
\(356\) | −31.2201 | − | 13.9694i | −1.65466 | − | 0.740375i | ||||
\(357\) | −1.02267 | − | 11.9100i | −0.0541255 | − | 0.630342i | ||||
\(358\) | −16.3378 | + | 10.5884i | −0.863479 | + | 0.559614i | ||||
\(359\) | 6.55134i | 0.345766i | 0.984942 | + | 0.172883i | \(0.0553083\pi\) | ||||
−0.984942 | + | 0.172883i | \(0.944692\pi\) | |||||||
\(360\) | 8.03941 | − | 2.71438i | 0.423714 | − | 0.143061i | ||||
\(361\) | 41.3160i | 2.17453i | ||||||||
\(362\) | 9.53790 | + | 14.7169i | 0.501301 | + | 0.773502i | ||||
\(363\) | 1.59286 | + | 18.5504i | 0.0836037 | + | 0.973642i | ||||
\(364\) | −2.21116 | + | 0.844091i | −0.115896 | + | 0.0442424i | ||||
\(365\) | 6.98933 | + | 6.98933i | 0.365838 | + | 0.365838i | ||||
\(366\) | 1.48780 | − | 1.15633i | 0.0777685 | − | 0.0604426i | ||||
\(367\) | 6.93333i | 0.361917i | 0.983491 | + | 0.180958i | \(0.0579200\pi\) | ||||
−0.983491 | + | 0.180958i | \(0.942080\pi\) | |||||||
\(368\) | 7.38413 | − | 6.59936i | 0.384924 | − | 0.344016i | ||||
\(369\) | 31.1902 | − | 5.39620i | 1.62370 | − | 0.280915i | ||||
\(370\) | 9.93175 | + | 2.12067i | 0.516327 | + | 0.110248i | ||||
\(371\) | 3.47802 | − | 3.47802i | 0.180570 | − | 0.180570i | ||||
\(372\) | −4.92077 | + | 14.1319i | −0.255130 | + | 0.732704i | ||||
\(373\) | 13.3454 | + | 13.3454i | 0.691000 | + | 0.691000i | 0.962452 | − | 0.271452i | \(-0.0875037\pi\) |
−0.271452 | + | 0.962452i | \(0.587504\pi\) | |||||||
\(374\) | 3.65006 | − | 2.36557i | 0.188740 | − | 0.122321i | ||||
\(375\) | −1.32503 | − | 1.11548i | −0.0684245 | − | 0.0576029i | ||||
\(376\) | −8.47903 | − | 6.19642i | −0.437273 | − | 0.319556i | ||||
\(377\) | −6.69898 | −0.345015 | ||||||||
\(378\) | −8.24449 | + | 0.384517i | −0.424051 | + | 0.0197774i | ||||
\(379\) | 16.4779 | − | 16.4779i | 0.846414 | − | 0.846414i | −0.143270 | − | 0.989684i | \(-0.545762\pi\) |
0.989684 | + | 0.143270i | \(0.0457616\pi\) | |||||||
\(380\) | 14.1781 | + | 6.34397i | 0.727321 | + | 0.325439i | ||||
\(381\) | −3.02663 | − | 35.2479i | −0.155059 | − | 1.80580i | ||||
\(382\) | −13.0647 | − | 2.78963i | −0.668448 | − | 0.142730i | ||||
\(383\) | −38.0542 | −1.94448 | −0.972239 | − | 0.233992i | \(-0.924821\pi\) | ||||
−0.972239 | + | 0.233992i | \(0.924821\pi\) | |||||||
\(384\) | 3.58337 | + | 19.2655i | 0.182863 | + | 0.983138i | ||||
\(385\) | −0.562166 | −0.0286506 | ||||||||
\(386\) | 11.0976 | + | 2.36960i | 0.564852 | + | 0.120609i | ||||
\(387\) | −3.91747 | + | 5.55657i | −0.199136 | + | 0.282456i | ||||
\(388\) | −24.4597 | − | 10.9444i | −1.24175 | − | 0.555620i | ||||
\(389\) | 25.7169 | − | 25.7169i | 1.30390 | − | 1.30390i | 0.378157 | − | 0.925742i | \(-0.376558\pi\) |
0.925742 | − | 0.378157i | \(-0.123442\pi\) | |||||||
\(390\) | −0.321023 | + | 2.56083i | −0.0162556 | + | 0.129673i | ||||
\(391\) | −15.2135 | −0.769380 | ||||||||
\(392\) | 13.1046 | + | 9.57677i | 0.661883 | + | 0.483700i | ||||
\(393\) | −7.36377 | + | 8.74717i | −0.371453 | + | 0.441236i | ||||
\(394\) | 4.93311 | − | 3.19711i | 0.248527 | − | 0.161068i | ||||
\(395\) | 5.77402 | + | 5.77402i | 0.290523 | + | 0.290523i | ||||
\(396\) | −1.53367 | − | 2.58201i | −0.0770696 | − | 0.129751i | ||||
\(397\) | 20.5780 | − | 20.5780i | 1.03278 | − | 1.03278i | 0.0333335 | − | 0.999444i | \(-0.489388\pi\) |
0.999444 | − | 0.0333335i | \(-0.0106123\pi\) | |||||||
\(398\) | −15.8409 | − | 3.38241i | −0.794031 | − | 0.169545i | ||||
\(399\) | −11.5580 | − | 9.73005i | −0.578623 | − | 0.487112i | ||||
\(400\) | 2.98247 | − | 2.66550i | 0.149123 | − | 0.133275i | ||||
\(401\) | 13.3882i | 0.668575i | 0.942471 | + | 0.334288i | \(0.108496\pi\) | ||||
−0.942471 | + | 0.334288i | \(0.891504\pi\) | |||||||
\(402\) | −5.06506 | − | 6.51697i | −0.252622 | − | 0.325037i | ||||
\(403\) | −3.21837 | − | 3.21837i | −0.160319 | − | 0.160319i | ||||
\(404\) | −8.90218 | + | 3.39833i | −0.442900 | + | 0.169073i | ||||
\(405\) | −3.85600 | + | 8.13211i | −0.191606 | + | 0.404088i | ||||
\(406\) | −5.49238 | − | 8.47468i | −0.272582 | − | 0.420591i | ||||
\(407\) | − | 3.59433i | − | 0.178164i | ||||||
\(408\) | 15.6173 | − | 25.7352i | 0.773171 | − | 1.27408i | ||||
\(409\) | 22.2754i | 1.10145i | 0.834687 | + | 0.550724i | \(0.185648\pi\) | ||||
−0.834687 | + | 0.550724i | \(0.814352\pi\) | |||||||
\(410\) | 12.5218 | − | 8.11531i | 0.618410 | − | 0.400787i | ||||
\(411\) | −1.02498 | + | 0.0880120i | −0.0505586 | + | 0.00434131i | ||||
\(412\) | 28.6363 | + | 12.8133i | 1.41081 | + | 0.631264i | ||||
\(413\) | 2.28696 | + | 2.28696i | 0.112534 | + | 0.112534i | ||||
\(414\) | −0.410095 | + | 10.4961i | −0.0201551 | + | 0.515856i | ||||
\(415\) | − | 0.283737i | − | 0.0139281i | ||||||
\(416\) | −5.74998 | − | 1.56926i | −0.281916 | − | 0.0769392i | ||||
\(417\) | −18.4658 | + | 21.9349i | −0.904273 | + | 1.07415i | ||||
\(418\) | 1.14795 | − | 5.37621i | 0.0561481 | − | 0.262959i | ||||
\(419\) | 7.19845 | − | 7.19845i | 0.351667 | − | 0.351667i | −0.509062 | − | 0.860730i | \(-0.670008\pi\) |
0.860730 | + | 0.509062i | \(0.170008\pi\) | |||||||
\(420\) | −3.50283 | + | 1.69346i | −0.170921 | + | 0.0826326i | ||||
\(421\) | 6.77995 | + | 6.77995i | 0.330434 | + | 0.330434i | 0.852751 | − | 0.522317i | \(-0.174932\pi\) |
−0.522317 | + | 0.852751i | \(0.674932\pi\) | |||||||
\(422\) | −16.3165 | − | 25.1762i | −0.794274 | − | 1.22556i | ||||
\(423\) | 10.9759 | − | 1.89893i | 0.533665 | − | 0.0923292i | ||||
\(424\) | 12.2395 | − | 1.90372i | 0.594401 | − | 0.0924528i | ||||
\(425\) | −6.14478 | −0.298065 | ||||||||
\(426\) | −4.30879 | + | 34.3716i | −0.208761 | + | 1.66531i | ||||
\(427\) | −0.610945 | + | 0.610945i | −0.0295657 | + | 0.0295657i | ||||
\(428\) | −3.38360 | − | 8.86357i | −0.163552 | − | 0.428437i | ||||
\(429\) | 0.910087 | − | 0.0781464i | 0.0439394 | − | 0.00377294i | ||||
\(430\) | −0.669243 | + | 3.13427i | −0.0322738 | + | 0.151148i | ||||
\(431\) | −17.6060 | −0.848053 | −0.424027 | − | 0.905650i | \(-0.639384\pi\) | ||||
−0.424027 | + | 0.905650i | \(0.639384\pi\) | |||||||
\(432\) | −17.3342 | − | 11.4684i | −0.833994 | − | 0.551774i | ||||
\(433\) | 15.9610 | 0.767036 | 0.383518 | − | 0.923533i | \(-0.374712\pi\) | ||||
0.383518 | + | 0.923533i | \(0.374712\pi\) | |||||||
\(434\) | 1.43278 | − | 6.71015i | 0.0687756 | − | 0.322098i | ||||
\(435\) | −10.9719 | + | 0.942126i | −0.526064 | + | 0.0451715i | ||||
\(436\) | 0.150053 | − | 0.0572814i | 0.00718622 | − | 0.00274328i | ||||
\(437\) | −13.5964 | + | 13.5964i | −0.650405 | + | 0.650405i | ||||
\(438\) | 3.01158 | − | 24.0237i | 0.143899 | − | 1.14790i | ||||
\(439\) | −25.1878 | −1.20215 | −0.601075 | − | 0.799193i | \(-0.705261\pi\) | ||||
−0.601075 | + | 0.799193i | \(0.705261\pi\) | |||||||
\(440\) | −1.14301 | − | 0.835304i | −0.0544909 | − | 0.0398216i | ||||
\(441\) | −16.9636 | + | 2.93486i | −0.807789 | + | 0.139755i | ||||
\(442\) | 4.97968 | + | 7.68360i | 0.236859 | + | 0.365471i | ||||
\(443\) | 10.7728 | + | 10.7728i | 0.511831 | + | 0.511831i | 0.915087 | − | 0.403256i | \(-0.132122\pi\) |
−0.403256 | + | 0.915087i | \(0.632122\pi\) | |||||||
\(444\) | −10.8275 | − | 22.3961i | −0.513852 | − | 1.06287i | ||||
\(445\) | 12.0925 | − | 12.0925i | 0.573241 | − | 0.573241i | ||||
\(446\) | 6.17512 | − | 28.9200i | 0.292401 | − | 1.36940i | ||||
\(447\) | 20.0124 | − | 23.7720i | 0.946552 | − | 1.12438i | ||||
\(448\) | −2.72909 | − | 8.56074i | −0.128937 | − | 0.404457i | ||||
\(449\) | 12.9034i | 0.608947i | 0.952521 | + | 0.304474i | \(0.0984805\pi\) | ||||
−0.952521 | + | 0.304474i | \(0.901519\pi\) | |||||||
\(450\) | −0.165639 | + | 4.23941i | −0.00780828 | + | 0.199848i | ||||
\(451\) | −3.73433 | − | 3.73433i | −0.175843 | − | 0.175843i | ||||
\(452\) | 1.73293 | − | 3.87292i | 0.0815104 | − | 0.182167i | ||||
\(453\) | 35.1515 | − | 3.01835i | 1.65156 | − | 0.141814i | ||||
\(454\) | −15.1979 | + | 9.84964i | −0.713273 | + | 0.462267i | ||||
\(455\) | − | 1.18340i | − | 0.0554784i | ||||||
\(456\) | −9.04242 | − | 36.9570i | −0.423450 | − | 1.73067i | ||||
\(457\) | − | 2.30813i | − | 0.107970i | −0.998542 | − | 0.0539848i | \(-0.982808\pi\) | ||
0.998542 | − | 0.0539848i | \(-0.0171922\pi\) | |||||||
\(458\) | −11.6402 | − | 17.9607i | −0.543912 | − | 0.839250i | ||||
\(459\) | 8.11486 | + | 30.8808i | 0.378769 | + | 1.44139i | ||||
\(460\) | 1.76597 | + | 4.62608i | 0.0823386 | + | 0.215692i | ||||
\(461\) | 15.7652 | + | 15.7652i | 0.734257 | + | 0.734257i | 0.971460 | − | 0.237203i | \(-0.0762308\pi\) |
−0.237203 | + | 0.971460i | \(0.576231\pi\) | |||||||
\(462\) | 0.845025 | + | 1.08725i | 0.0393141 | + | 0.0505836i | ||||
\(463\) | 18.0736i | 0.839953i | 0.907535 | + | 0.419976i | \(0.137962\pi\) | ||||
−0.907535 | + | 0.419976i | \(0.862038\pi\) | |||||||
\(464\) | 1.42501 | − | 25.3919i | 0.0661545 | − | 1.17879i | ||||
\(465\) | −5.72383 | − | 4.81859i | −0.265436 | − | 0.223457i | ||||
\(466\) | 1.44643 | + | 0.308848i | 0.0670047 | + | 0.0143071i | ||||
\(467\) | −18.8540 | + | 18.8540i | −0.872460 | + | 0.872460i | −0.992740 | − | 0.120280i | \(-0.961621\pi\) |
0.120280 | + | 0.992740i | \(0.461621\pi\) | |||||||
\(468\) | 5.43530 | − | 3.22846i | 0.251247 | − | 0.149236i | ||||
\(469\) | 2.67611 | + | 2.67611i | 0.123571 | + | 0.123571i | ||||
\(470\) | 4.40646 | − | 2.85579i | 0.203255 | − | 0.131728i | ||||
\(471\) | −21.0107 | + | 24.9579i | −0.968121 | + | 1.15000i | ||||
\(472\) | 1.25179 | + | 8.04803i | 0.0576181 | + | 0.370440i | ||||
\(473\) | 1.13430 | 0.0521554 | ||||||||
\(474\) | 2.48793 | − | 19.8465i | 0.114274 | − | 0.911578i | ||||
\(475\) | −5.49163 | + | 5.49163i | −0.251973 | + | 0.251973i | ||||
\(476\) | −5.63753 | + | 12.5993i | −0.258396 | + | 0.577488i | ||||
\(477\) | −7.57026 | + | 10.7377i | −0.346618 | + | 0.491646i | ||||
\(478\) | −30.4573 | − | 6.50337i | −1.39309 | − | 0.297457i | ||||
\(479\) | −10.6120 | −0.484873 | −0.242436 | − | 0.970167i | \(-0.577947\pi\) | ||||
−0.242436 | + | 0.970167i | \(0.577947\pi\) | |||||||
\(480\) | −9.63831 | − | 1.76155i | −0.439926 | − | 0.0804033i | ||||
\(481\) | 7.56630 | 0.344993 | ||||||||
\(482\) | 24.4187 | + | 5.21399i | 1.11224 | + | 0.237491i | ||||
\(483\) | −0.412054 | − | 4.79874i | −0.0187491 | − | 0.218350i | ||||
\(484\) | 8.78075 | − | 19.6240i | 0.399125 | − | 0.892002i | ||||
\(485\) | 9.47402 | − | 9.47402i | 0.430193 | − | 0.430193i | ||||
\(486\) | 21.5240 | − | 4.76619i | 0.976349 | − | 0.216199i | ||||
\(487\) | −27.2849 | −1.23640 | −0.618198 | − | 0.786022i | \(-0.712137\pi\) | ||||
−0.618198 | + | 0.786022i | \(0.712137\pi\) | |||||||
\(488\) | −2.14997 | + | 0.334406i | −0.0973247 | + | 0.0151378i | ||||
\(489\) | 9.69231 | + | 8.15944i | 0.438302 | + | 0.368983i | ||||
\(490\) | −6.81032 | + | 4.41372i | −0.307659 | + | 0.199392i | ||||
\(491\) | 5.25791 | + | 5.25791i | 0.237286 | + | 0.237286i | 0.815725 | − | 0.578439i | \(-0.196338\pi\) |
−0.578439 | + | 0.815725i | \(0.696338\pi\) | |||||||
\(492\) | −34.5177 | − | 12.0192i | −1.55618 | − | 0.541865i | ||||
\(493\) | −27.6254 | + | 27.6254i | −1.24419 | + | 1.24419i | ||||
\(494\) | 11.3173 | + | 2.41651i | 0.509188 | + | 0.108724i | ||||
\(495\) | 1.47960 | − | 0.255984i | 0.0665029 | − | 0.0115056i | ||||
\(496\) | 12.8836 | − | 11.5143i | 0.578489 | − | 0.517009i | ||||
\(497\) | − | 15.8836i | − | 0.712477i | ||||||
\(498\) | −0.548759 | + | 0.426502i | −0.0245905 | + | 0.0191120i | ||||
\(499\) | 10.4407 | + | 10.4407i | 0.467391 | + | 0.467391i | 0.901068 | − | 0.433677i | \(-0.142784\pi\) |
−0.433677 | + | 0.901068i | \(0.642784\pi\) | |||||||
\(500\) | 0.713278 | + | 1.86848i | 0.0318988 | + | 0.0835612i | ||||
\(501\) | −0.0148846 | − | 0.173345i | −0.000664996 | − | 0.00774449i | ||||
\(502\) | −4.99623 | − | 7.70914i | −0.222993 | − | 0.344076i | ||||
\(503\) | − | 6.10431i | − | 0.272178i | −0.990697 | − | 0.136089i | \(-0.956547\pi\) | ||
0.990697 | − | 0.136089i | \(-0.0434533\pi\) | |||||||
\(504\) | 8.54054 | + | 4.22908i | 0.380426 | + | 0.188378i | ||||
\(505\) | − | 4.76439i | − | 0.212012i | ||||||
\(506\) | 1.47067 | − | 0.953133i | 0.0653795 | − | 0.0423719i | ||||
\(507\) | −1.76185 | − | 20.5183i | −0.0782463 | − | 0.911250i | ||||
\(508\) | −16.6845 | + | 37.2880i | −0.740253 | + | 1.65439i | ||||
\(509\) | 19.8126 | + | 19.8126i | 0.878176 | + | 0.878176i | 0.993346 | − | 0.115170i | \(-0.0367413\pi\) |
−0.115170 | + | 0.993346i | \(0.536741\pi\) | |||||||
\(510\) | 9.23657 | + | 11.8843i | 0.409002 | + | 0.526244i | ||||
\(511\) | 11.1017i | 0.491110i | ||||||||
\(512\) | 7.17127 | − | 21.4610i | 0.316928 | − | 0.948450i | ||||
\(513\) | 34.8507 | + | 20.3461i | 1.53870 | + | 0.898301i | ||||
\(514\) | 2.69196 | − | 12.6073i | 0.118737 | − | 0.556084i | ||||
\(515\) | −11.0918 | + | 11.0918i | −0.488761 | + | 0.488761i | ||||
\(516\) | 7.06779 | − | 3.41697i | 0.311142 | − | 0.150424i | ||||
\(517\) | −1.31412 | − | 1.31412i | −0.0577947 | − | 0.0577947i | ||||
\(518\) | 6.20347 | + | 9.57189i | 0.272565 | + | 0.420565i | ||||
\(519\) | −15.1285 | − | 12.7359i | −0.664067 | − | 0.559042i | ||||
\(520\) | 1.75837 | − | 2.40611i | 0.0771095 | − | 0.105515i | ||||
\(521\) | 28.0649 | 1.22955 | 0.614773 | − | 0.788704i | \(-0.289248\pi\) | ||||
0.614773 | + | 0.788704i | \(0.289248\pi\) | |||||||
\(522\) | 18.3147 | + | 19.8040i | 0.801611 | + | 0.866797i | ||||
\(523\) | −3.10143 | + | 3.10143i | −0.135616 | + | 0.135616i | −0.771656 | − | 0.636040i | \(-0.780571\pi\) |
0.636040 | + | 0.771656i | \(0.280571\pi\) | |||||||
\(524\) | 12.3347 | − | 4.70868i | 0.538845 | − | 0.205700i | ||||
\(525\) | −0.166429 | − | 1.93822i | −0.00726358 | − | 0.0845911i | ||||
\(526\) | −7.21787 | + | 33.8035i | −0.314714 | + | 1.47390i | ||||
\(527\) | −26.5440 | −1.15627 | ||||||||
\(528\) | 0.102613 | + | 3.46622i | 0.00446564 | + | 0.150848i | ||||
\(529\) | 16.8702 | 0.733487 | ||||||||
\(530\) | −1.29327 | + | 6.05678i | −0.0561760 | + | 0.263090i | ||||
\(531\) | −7.06055 | − | 4.97780i | −0.306402 | − | 0.216018i | ||||
\(532\) | 6.22177 | + | 16.2984i | 0.269748 | + | 0.706625i | ||||
\(533\) | 7.86099 | − | 7.86099i | 0.340497 | − | 0.340497i | ||||
\(534\) | −41.5644 | − | 5.21047i | −1.79867 | − | 0.225479i | ||||
\(535\) | 4.74372 | 0.205089 | ||||||||
\(536\) | 1.46479 | + | 9.41747i | 0.0632692 | + | 0.406773i | ||||
\(537\) | −15.3563 | + | 18.2412i | −0.662672 | + | 0.787165i | ||||
\(538\) | 13.0358 | + | 20.1140i | 0.562011 | + | 0.867178i | ||||
\(539\) | 2.03101 | + | 2.03101i | 0.0874817 | + | 0.0874817i | ||||
\(540\) | 8.44817 | − | 6.05215i | 0.363551 | − | 0.260443i | ||||
\(541\) | 31.7579 | − | 31.7579i | 1.36538 | − | 1.36538i | 0.498473 | − | 0.866905i | \(-0.333894\pi\) |
0.866905 | − | 0.498473i | \(-0.166106\pi\) | |||||||
\(542\) | 2.61189 | − | 12.2323i | 0.112190 | − | 0.525423i | ||||
\(543\) | 16.4314 | + | 13.8327i | 0.705140 | + | 0.593620i | ||||
\(544\) | −30.1832 | + | 17.2406i | −1.29410 | + | 0.739183i | ||||
\(545\) | 0.0803072i | 0.00343998i | ||||||||
\(546\) | −2.28874 | + | 1.77883i | −0.0979489 | + | 0.0761269i | ||||
\(547\) | 4.25767 | + | 4.25767i | 0.182045 | + | 0.182045i | 0.792246 | − | 0.610202i | \(-0.208912\pi\) |
−0.610202 | + | 0.792246i | \(0.708912\pi\) | |||||||
\(548\) | 1.08431 | + | 0.485171i | 0.0463192 | + | 0.0207255i | ||||
\(549\) | 1.32978 | − | 1.88618i | 0.0567538 | − | 0.0805000i | ||||
\(550\) | 0.594009 | − | 0.384973i | 0.0253286 | − | 0.0164153i | ||||
\(551\) | 49.3780i | 2.10358i | ||||||||
\(552\) | 6.29250 | − | 10.3692i | 0.267826 | − | 0.441342i | ||||
\(553\) | 9.17133i | 0.390004i | ||||||||
\(554\) | 10.0173 | + | 15.4566i | 0.425596 | + | 0.656689i | ||||
\(555\) | 12.3925 | − | 1.06410i | 0.526031 | − | 0.0451686i | ||||
\(556\) | 30.9312 | − | 11.8077i | 1.31178 | − | 0.500760i | ||||
\(557\) | −4.91179 | − | 4.91179i | −0.208119 | − | 0.208119i | 0.595348 | − | 0.803468i | \(-0.297014\pi\) |
−0.803468 | + | 0.595348i | \(0.797014\pi\) | |||||||
\(558\) | −0.715519 | + | 18.3132i | −0.0302904 | + | 0.775261i | ||||
\(559\) | 2.38778i | 0.100992i | ||||||||
\(560\) | 4.48555 | + | 0.251733i | 0.189549 | + | 0.0106376i | ||||
\(561\) | 3.43077 | − | 4.07530i | 0.144847 | − | 0.172059i | ||||
\(562\) | −13.9486 | − | 2.97836i | −0.588385 | − | 0.125634i | ||||
\(563\) | 16.0018 | − | 16.0018i | 0.674394 | − | 0.674394i | −0.284332 | − | 0.958726i | \(-0.591772\pi\) |
0.958726 | + | 0.284332i | \(0.0917717\pi\) | |||||||
\(564\) | −12.1468 | − | 4.22956i | −0.511473 | − | 0.178097i | ||||
\(565\) | 1.50011 | + | 1.50011i | 0.0631100 | + | 0.0631100i | ||||
\(566\) | −3.44033 | + | 2.22965i | −0.144608 | + | 0.0937193i | ||||
\(567\) | −9.52082 | + | 3.39604i | −0.399837 | + | 0.142620i | ||||
\(568\) | 23.6009 | − | 32.2949i | 0.990273 | − | 1.35507i | ||||
\(569\) | −15.5844 | −0.653333 | −0.326666 | − | 0.945140i | \(-0.605925\pi\) | ||||
−0.326666 | + | 0.945140i | \(0.605925\pi\) | |||||||
\(570\) | 18.8758 | + | 2.36625i | 0.790622 | + | 0.0991113i | ||||
\(571\) | 16.9630 | − | 16.9630i | 0.709878 | − | 0.709878i | −0.256631 | − | 0.966509i | \(-0.582612\pi\) |
0.966509 | + | 0.256631i | \(0.0826125\pi\) | |||||||
\(572\) | −0.962762 | − | 0.430786i | −0.0402551 | − | 0.0180121i | ||||
\(573\) | −16.3016 | + | 1.39977i | −0.681010 | + | 0.0584763i | ||||
\(574\) | 16.3898 | + | 3.49962i | 0.684097 | + | 0.146071i | ||||
\(575\) | −2.47584 | −0.103250 | ||||||||
\(576\) | 11.0810 | + | 21.2888i | 0.461708 | + | 0.887032i | ||||
\(577\) | 7.83292 | 0.326089 | 0.163044 | − | 0.986619i | \(-0.447869\pi\) | ||||
0.163044 | + | 0.986619i | \(0.447869\pi\) | |||||||
\(578\) | 28.7095 | + | 6.13016i | 1.19416 | + | 0.254981i | ||||
\(579\) | 13.8471 | − | 1.18901i | 0.575467 | − | 0.0494136i | ||||
\(580\) | 11.6070 | + | 5.19352i | 0.481953 | + | 0.215649i | ||||
\(581\) | 0.225341 | − | 0.225341i | 0.00934871 | − | 0.00934871i | ||||
\(582\) | −32.5641 | − | 4.08219i | −1.34983 | − | 0.169212i | ||||
\(583\) | 2.19197 | 0.0907821 | ||||||||
\(584\) | −16.4956 | + | 22.5722i | −0.682594 | + | 0.934045i | ||||
\(585\) | 0.538863 | + | 3.11464i | 0.0222792 | + | 0.128775i | ||||
\(586\) | −22.9181 | + | 14.8530i | −0.946737 | + | 0.613573i | ||||
\(587\) | −25.8232 | − | 25.8232i | −1.06584 | − | 1.06584i | −0.997674 | − | 0.0681648i | \(-0.978286\pi\) |
−0.0681648 | − | 0.997674i | \(-0.521714\pi\) | |||||||
\(588\) | 18.7733 | + | 6.53693i | 0.774198 | + | 0.269578i | ||||
\(589\) | −23.7226 | + | 23.7226i | −0.977471 | + | 0.977471i | ||||
\(590\) | −3.98262 | − | 0.850385i | −0.163962 | − | 0.0350098i | ||||
\(591\) | 4.63675 | − | 5.50783i | 0.190730 | − | 0.226562i | ||||
\(592\) | −1.60951 | + | 28.6793i | −0.0661503 | + | 1.17871i | ||||
\(593\) | − | 27.6730i | − | 1.13640i | −0.822892 | − | 0.568198i | \(-0.807641\pi\) | ||
0.822892 | − | 0.568198i | \(-0.192359\pi\) | |||||||
\(594\) | −2.71915 | − | 2.47681i | −0.111568 | − | 0.101625i | ||||
\(595\) | −4.88011 | − | 4.88011i | −0.200065 | − | 0.200065i | ||||
\(596\) | −33.5218 | + | 12.7967i | −1.37311 | + | 0.524173i | ||||
\(597\) | −19.7656 | + | 1.69721i | −0.808953 | + | 0.0694623i | ||||
\(598\) | 2.00641 | + | 3.09586i | 0.0820480 | + | 0.126599i | ||||
\(599\) | − | 1.70952i | − | 0.0698493i | −0.999390 | − | 0.0349246i | \(-0.988881\pi\) | ||
0.999390 | − | 0.0349246i | \(-0.0111191\pi\) | |||||||
\(600\) | 2.54156 | − | 4.18814i | 0.103759 | − | 0.170980i | ||||
\(601\) | 8.40978i | 0.343042i | 0.985180 | + | 0.171521i | \(0.0548682\pi\) | ||||
−0.985180 | + | 0.171521i | \(0.945132\pi\) | |||||||
\(602\) | −3.02071 | + | 1.95770i | −0.123115 | + | 0.0797899i | ||||
\(603\) | −8.26197 | − | 5.82482i | −0.336453 | − | 0.237205i | ||||
\(604\) | −37.1860 | − | 16.6388i | −1.51308 | − | 0.677024i | ||||
\(605\) | 7.60103 | + | 7.60103i | 0.309026 | + | 0.309026i | ||||
\(606\) | −9.21452 | + | 7.16162i | −0.374314 | + | 0.290921i | ||||
\(607\) | − | 29.2914i | − | 1.18890i | −0.804132 | − | 0.594451i | \(-0.797369\pi\) | ||
0.804132 | − | 0.594451i | \(-0.202631\pi\) | |||||||
\(608\) | −11.5670 | + | 42.3830i | −0.469102 | + | 1.71886i | ||||
\(609\) | −9.46200 | − | 7.96555i | −0.383420 | − | 0.322781i | ||||
\(610\) | 0.227174 | − | 1.06393i | 0.00919802 | − | 0.0430772i | ||||
\(611\) | 2.76630 | − | 2.76630i | 0.111912 | − | 0.111912i | ||||
\(612\) | 9.10060 | − | 35.7278i | 0.367870 | − | 1.44421i | ||||
\(613\) | −0.0369270 | − | 0.0369270i | −0.00149147 | − | 0.00149147i | 0.706361 | − | 0.707852i | \(-0.250336\pi\) |
−0.707852 | + | 0.706361i | \(0.750336\pi\) | |||||||
\(614\) | −0.382549 | − | 0.590269i | −0.0154384 | − | 0.0238213i | ||||
\(615\) | 11.7696 | − | 13.9807i | 0.474595 | − | 0.563755i | ||||
\(616\) | −0.244377 | − | 1.57115i | −0.00984621 | − | 0.0633036i | ||||
\(617\) | 2.44515 | 0.0984379 | 0.0492190 | − | 0.998788i | \(-0.484327\pi\) | ||||
0.0492190 | + | 0.998788i | \(0.484327\pi\) | |||||||
\(618\) | 38.1246 | + | 4.77925i | 1.53360 | + | 0.192250i | ||||
\(619\) | 1.89668 | − | 1.89668i | 0.0762340 | − | 0.0762340i | −0.667962 | − | 0.744196i | \(-0.732833\pi\) |
0.744196 | + | 0.667962i | \(0.232833\pi\) | |||||||
\(620\) | 3.08119 | + | 8.07141i | 0.123744 | + | 0.324156i | ||||
\(621\) | 3.26963 | + | 12.4424i | 0.131206 | + | 0.499298i | ||||
\(622\) | −7.48743 | + | 35.0660i | −0.300219 | + | 1.40602i | ||||
\(623\) | 19.2075 | 0.769532 | ||||||||
\(624\) | −7.29662 | + | 0.216006i | −0.292099 | + | 0.00864715i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | −6.32423 | + | 29.6183i | −0.252767 | + | 1.18379i | ||||
\(627\) | −0.576015 | − | 6.70823i | −0.0230038 | − | 0.267901i | ||||
\(628\) | 35.1941 | − | 13.4351i | 1.40440 | − | 0.536117i | ||||
\(629\) | 31.2021 | − | 31.2021i | 1.24411 | − | 1.24411i | ||||
\(630\) | −3.49844 | + | 3.23534i | −0.139381 | + | 0.128899i | ||||
\(631\) | 33.1646 | 1.32026 | 0.660132 | − | 0.751150i | \(-0.270500\pi\) | ||||
0.660132 | + | 0.751150i | \(0.270500\pi\) | |||||||
\(632\) | −13.6274 | + | 18.6474i | −0.542068 | + | 0.741752i | ||||
\(633\) | −28.1093 | − | 23.6637i | −1.11724 | − | 0.940547i | ||||
\(634\) | 15.9803 | + | 24.6574i | 0.634659 | + | 0.979272i | ||||
\(635\) | −14.4428 | − | 14.4428i | −0.573147 | − | 0.573147i | ||||
\(636\) | 13.6581 | − | 6.60307i | 0.541577 | − | 0.261829i | ||||
\(637\) | −4.27540 | + | 4.27540i | −0.169398 | + | 0.169398i | ||||
\(638\) | 0.939776 | − | 4.40126i | 0.0372061 | − | 0.174248i | ||||
\(639\) | 7.23265 | + | 41.8049i | 0.286119 | + | 1.65378i | ||||
\(640\) | 8.74609 | + | 7.17676i | 0.345720 | + | 0.283686i | ||||
\(641\) | 1.34629i | 0.0531754i | 0.999646 | + | 0.0265877i | \(0.00846413\pi\) | ||||
−0.999646 | + | 0.0265877i | \(0.991536\pi\) | |||||||
\(642\) | −7.13057 | − | 9.17456i | −0.281421 | − | 0.362091i | ||||
\(643\) | −21.5284 | − | 21.5284i | −0.848999 | − | 0.848999i | 0.141009 | − | 0.990008i | \(-0.454965\pi\) |
−0.990008 | + | 0.141009i | \(0.954965\pi\) | |||||||
\(644\) | −2.27147 | + | 5.07649i | −0.0895083 | + | 0.200042i | ||||
\(645\) | 0.335811 | + | 3.91083i | 0.0132225 | + | 0.153989i | ||||
\(646\) | 56.6356 | − | 36.7051i | 2.22830 | − | 1.44414i | ||||
\(647\) | 8.62645i | 0.339141i | 0.985518 | + | 0.169570i | \(0.0542380\pi\) | ||||
−0.985518 | + | 0.169570i | \(0.945762\pi\) | |||||||
\(648\) | −24.4040 | − | 7.24177i | −0.958681 | − | 0.284484i | ||||
\(649\) | 1.44132i | 0.0565769i | ||||||||
\(650\) | 0.810393 | + | 1.25043i | 0.0317862 | + | 0.0490458i | ||||
\(651\) | −0.718936 | − | 8.37267i | −0.0281773 | − | 0.328151i | ||||
\(652\) | −5.21746 | − | 13.6675i | −0.204332 | − | 0.535262i | ||||
\(653\) | 21.4073 | + | 21.4073i | 0.837732 | + | 0.837732i | 0.988560 | − | 0.150828i | \(-0.0481939\pi\) |
−0.150828 | + | 0.988560i | \(0.548194\pi\) | |||||||
\(654\) | 0.155317 | − | 0.120714i | 0.00607339 | − | 0.00472031i | ||||
\(655\) | 6.60147i | 0.257941i | ||||||||
\(656\) | 28.1242 | + | 31.4685i | 1.09806 | + | 1.22864i | ||||
\(657\) | −5.05519 | − | 29.2191i | −0.197222 | − | 1.13995i | ||||
\(658\) | 5.76759 | + | 1.23152i | 0.224844 | + | 0.0480097i | ||||
\(659\) | −8.86765 | + | 8.86765i | −0.345435 | + | 0.345435i | −0.858406 | − | 0.512971i | \(-0.828545\pi\) |
0.512971 | + | 0.858406i | \(0.328545\pi\) | |||||||
\(660\) | −1.63744 | − | 0.570163i | −0.0637374 | − | 0.0221936i | ||||
\(661\) | −14.5233 | − | 14.5233i | −0.564892 | − | 0.564892i | 0.365801 | − | 0.930693i | \(-0.380795\pi\) |
−0.930693 | + | 0.365801i | \(0.880795\pi\) | |||||||
\(662\) | −22.8342 | + | 14.7986i | −0.887474 | + | 0.575166i | ||||
\(663\) | 8.57876 | + | 7.22200i | 0.333171 | + | 0.280479i | ||||
\(664\) | 0.792994 | − | 0.123342i | 0.0307742 | − | 0.00478660i | ||||
\(665\) | −8.72278 | −0.338255 | ||||||||
\(666\) | −20.6858 | − | 22.3680i | −0.801560 | − | 0.866743i | ||||
\(667\) | −11.1308 | + | 11.1308i | −0.430986 | + | 0.430986i | ||||
\(668\) | −0.0820523 | + | 0.183378i | −0.00317470 | + | 0.00709511i | ||||
\(669\) | −3.09854 | − | 36.0853i | −0.119796 | − | 1.39514i | ||||
\(670\) | −4.66030 | − | 0.995086i | −0.180043 | − | 0.0384435i | ||||
\(671\) | −0.385039 | −0.0148643 | ||||||||
\(672\) | −6.25563 | − | 9.05363i | −0.241316 | − | 0.349252i | ||||
\(673\) | −30.7302 | −1.18456 | −0.592282 | − | 0.805731i | \(-0.701773\pi\) | ||||
−0.592282 | + | 0.805731i | \(0.701773\pi\) | |||||||
\(674\) | −29.0874 | − | 6.21085i | −1.12040 | − | 0.239233i | ||||
\(675\) | 1.32061 | + | 5.02553i | 0.0508304 | + | 0.193433i | ||||
\(676\) | −9.71227 | + | 21.7059i | −0.373549 | + | 0.834842i | ||||
\(677\) | 17.0398 | − | 17.0398i | 0.654894 | − | 0.654894i | −0.299274 | − | 0.954167i | \(-0.596744\pi\) |
0.954167 | + | 0.299274i | \(0.0967443\pi\) | |||||||
\(678\) | 0.646371 | − | 5.15617i | 0.0248237 | − | 0.198022i | ||||
\(679\) | 15.0483 | 0.577502 | ||||||||
\(680\) | −2.67117 | − | 17.1736i | −0.102435 | − | 0.658576i | ||||
\(681\) | −14.2849 | + | 16.9685i | −0.547397 | + | 0.650234i | ||||
\(682\) | 2.56598 | − | 1.66299i | 0.0982565 | − | 0.0636793i | ||||
\(683\) | 21.2833 | + | 21.2833i | 0.814381 | + | 0.814381i | 0.985287 | − | 0.170906i | \(-0.0546695\pi\) |
−0.170906 | + | 0.985287i | \(0.554670\pi\) | |||||||
\(684\) | −23.7969 | − | 40.0635i | −0.909899 | − | 1.53187i | ||||
\(685\) | −0.419987 | + | 0.419987i | −0.0160469 | + | 0.0160469i | ||||
\(686\) | −19.7875 | − | 4.22512i | −0.755492 | − | 0.161316i | ||||
\(687\) | −20.0532 | − | 16.8817i | −0.765078 | − | 0.644078i | ||||
\(688\) | −9.05066 | − | 0.507930i | −0.345053 | − | 0.0193647i | ||||
\(689\) | 4.61423i | 0.175788i | ||||||||
\(690\) | 3.72159 | + | 4.78839i | 0.141678 | + | 0.182291i | ||||
\(691\) | −16.5327 | − | 16.5327i | −0.628932 | − | 0.628932i | 0.318867 | − | 0.947799i | \(-0.396698\pi\) |
−0.947799 | + | 0.318867i | \(0.896698\pi\) | |||||||
\(692\) | 8.14381 | + | 21.3333i | 0.309581 | + | 0.810970i | ||||
\(693\) | 1.37838 | + | 0.971778i | 0.0523602 | + | 0.0369148i | ||||
\(694\) | 0.837193 | + | 1.29178i | 0.0317794 | + | 0.0490353i | ||||
\(695\) | 16.5542i | 0.627936i | ||||||||
\(696\) | −7.40263 | − | 30.2550i | −0.280596 | − | 1.14681i | ||||
\(697\) | − | 64.8346i | − | 2.45579i | ||||||
\(698\) | 14.4832 | − | 9.38646i | 0.548197 | − | 0.355283i | ||||
\(699\) | 1.80480 | − | 0.154973i | 0.0682639 | − | 0.00586162i | ||||
\(700\) | −0.917451 | + | 2.05041i | −0.0346764 | + | 0.0774981i | ||||
\(701\) | −12.4742 | − | 12.4742i | −0.471145 | − | 0.471145i | 0.431140 | − | 0.902285i | \(-0.358111\pi\) |
−0.902285 | + | 0.431140i | \(0.858111\pi\) | |||||||
\(702\) | 5.21385 | − | 5.72398i | 0.196784 | − | 0.216038i | ||||
\(703\) | − | 55.7710i | − | 2.10344i | ||||||
\(704\) | 1.83765 | − | 3.55762i | 0.0692592 | − | 0.134083i | ||||
\(705\) | 4.14173 | − | 4.91982i | 0.155987 | − | 0.185291i | ||||
\(706\) | −2.55224 | + | 11.9529i | −0.0960549 | + | 0.449855i | ||||
\(707\) | 3.78382 | − | 3.78382i | 0.142305 | − | 0.142305i | ||||
\(708\) | 4.34183 | + | 8.98082i | 0.163176 | + | 0.337520i | ||||
\(709\) | −9.13318 | − | 9.13318i | −0.343004 | − | 0.343004i | 0.514492 | − | 0.857495i | \(-0.327981\pi\) |
−0.857495 | + | 0.514492i | \(0.827981\pi\) | |||||||
\(710\) | 10.8771 | + | 16.7833i | 0.408212 | + | 0.629867i | ||||
\(711\) | −4.17619 | − | 24.1385i | −0.156619 | − | 0.905265i | ||||
\(712\) | 39.0532 | + | 28.5398i | 1.46358 | + | 1.06957i | ||||
\(713\) | −10.6951 | −0.400533 | ||||||||
\(714\) | −2.10276 | + | 16.7739i | −0.0786937 | + | 0.627748i | ||||
\(715\) | 0.372909 | − | 0.372909i | 0.0139460 | − | 0.0139460i | ||||
\(716\) | 25.7226 | − | 9.81941i | 0.961300 | − | 0.366968i | ||||
\(717\) | −38.0035 | + | 3.26324i | −1.41927 | + | 0.121868i | ||||
\(718\) | 1.93469 | − | 9.06074i | 0.0722018 | − | 0.338144i | ||||
\(719\) | 5.55155 | 0.207038 | 0.103519 | − | 0.994627i | \(-0.466990\pi\) | ||||
0.103519 | + | 0.994627i | \(0.466990\pi\) | |||||||
\(720\) | −11.9204 | + | 1.37996i | −0.444247 | + | 0.0514281i | ||||
\(721\) | −17.6179 | −0.656125 | ||||||||
\(722\) | 12.2011 | − | 57.1416i | 0.454078 | − | 2.12659i | ||||
\(723\) | 30.4688 | − | 2.61626i | 1.13315 | − | 0.0972998i | ||||
\(724\) | −8.84520 | − | 23.1706i | −0.328729 | − | 0.861130i | ||||
\(725\) | −4.49575 | + | 4.49575i | −0.166968 | + | 0.166968i | ||||
\(726\) | 3.27515 | − | 26.1262i | 0.121552 | − | 0.969636i | ||||
\(727\) | −35.5686 | −1.31917 | −0.659584 | − | 0.751631i | \(-0.729267\pi\) | ||||
−0.659584 | + | 0.751631i | \(0.729267\pi\) | |||||||
\(728\) | 3.30738 | − | 0.514428i | 0.122580 | − | 0.0190660i | ||||
\(729\) | 23.5120 | − | 13.2736i | 0.870814 | − | 0.491613i | ||||
\(730\) | −7.60247 | − | 11.7305i | −0.281380 | − | 0.434166i | ||||
\(731\) | 9.84679 | + | 9.84679i | 0.364197 | + | 0.364197i | ||||
\(732\) | −2.39916 | + | 1.15989i | −0.0886755 | + | 0.0428707i | ||||
\(733\) | −7.46382 | + | 7.46382i | −0.275683 | + | 0.275683i | −0.831383 | − | 0.555700i | \(-0.812450\pi\) |
0.555700 | + | 0.831383i | \(0.312450\pi\) | |||||||
\(734\) | 2.04749 | − | 9.58905i | 0.0755744 | − | 0.353938i | ||||
\(735\) | −6.40119 | + | 7.60375i | −0.236111 | + | 0.280468i | ||||
\(736\) | −12.1614 | + | 6.94654i | −0.448275 | + | 0.256053i | ||||
\(737\) | 1.68658i | 0.0621259i | ||||||||
\(738\) | −44.7307 | − | 1.74768i | −1.64656 | − | 0.0643331i | ||||
\(739\) | 14.2909 | + | 14.2909i | 0.525698 | + | 0.525698i | 0.919287 | − | 0.393589i | \(-0.128767\pi\) |
−0.393589 | + | 0.919287i | \(0.628767\pi\) | |||||||
\(740\) | −13.1097 | − | 5.86592i | −0.481923 | − | 0.215636i | ||||
\(741\) | 14.1212 | − | 1.21255i | 0.518757 | − | 0.0445441i | ||||
\(742\) | −5.83733 | + | 3.78313i | −0.214295 | + | 0.138883i | ||||
\(743\) | − | 52.4964i | − | 1.92591i | −0.269668 | − | 0.962953i | \(-0.586914\pi\) | ||
0.269668 | − | 0.962953i | \(-0.413086\pi\) | |||||||
\(744\) | 10.9789 | − | 18.0918i | 0.402507 | − | 0.663276i | ||||
\(745\) | − | 17.9407i | − | 0.657295i | ||||||
\(746\) | −14.5162 | − | 22.3983i | −0.531475 | − | 0.820060i | ||||
\(747\) | −0.490477 | + | 0.695696i | −0.0179456 | + | 0.0254542i | ||||
\(748\) | −5.74674 | + | 2.19377i | −0.210122 | + | 0.0802122i | ||||
\(749\) | 3.76741 | + | 3.76741i | 0.137658 | + | 0.137658i | ||||
\(750\) | 1.50316 | + | 1.93404i | 0.0548876 | + | 0.0706212i | ||||
\(751\) | − | 6.70417i | − | 0.244639i | −0.992491 | − | 0.122319i | \(-0.960967\pi\) | ||
0.992491 | − | 0.122319i | \(-0.0390332\pi\) | |||||||
\(752\) | 9.89694 | + | 11.0738i | 0.360904 | + | 0.403821i | ||||
\(753\) | −8.60728 | − | 7.24600i | −0.313667 | − | 0.264059i | ||||
\(754\) | 9.26494 | + | 1.97829i | 0.337409 | + | 0.0720450i | ||||
\(755\) | 14.4033 | − | 14.4033i | 0.524191 | − | 0.524191i | ||||
\(756\) | 11.5160 | + | 1.90289i | 0.418832 | + | 0.0692075i | ||||
\(757\) | −19.4878 | − | 19.4878i | −0.708296 | − | 0.708296i | 0.257881 | − | 0.966177i | \(-0.416976\pi\) |
−0.966177 | + | 0.257881i | \(0.916976\pi\) | |||||||
\(758\) | −27.6557 | + | 17.9235i | −1.00450 | + | 0.651009i | ||||
\(759\) | 1.38232 | − | 1.64201i | 0.0501751 | − | 0.0596013i | ||||
\(760\) | −17.7354 | − | 12.9609i | −0.643330 | − | 0.470141i | ||||
\(761\) | 28.9450 | 1.04925 | 0.524627 | − | 0.851332i | \(-0.324205\pi\) | ||||
0.524627 | + | 0.851332i | \(0.324205\pi\) | |||||||
\(762\) | −6.22318 | + | 49.6429i | −0.225442 | + | 1.79837i | ||||
\(763\) | −0.0637791 | + | 0.0637791i | −0.00230896 | + | 0.00230896i | ||||
\(764\) | 17.2451 | + | 7.71632i | 0.623908 | + | 0.279166i | ||||
\(765\) | 15.0664 | + | 10.6221i | 0.544727 | + | 0.384041i | ||||
\(766\) | 52.6303 | + | 11.2378i | 1.90161 | + | 0.406040i | ||||
\(767\) | −3.03408 | −0.109554 | ||||||||
\(768\) | 0.733391 | − | 27.7031i | 0.0264640 | − | 0.999650i | ||||
\(769\) | −14.7982 | −0.533636 | −0.266818 | − | 0.963747i | \(-0.585972\pi\) | ||||
−0.266818 | + | 0.963747i | \(0.585972\pi\) | |||||||
\(770\) | 0.777497 | + | 0.166014i | 0.0280190 | + | 0.00598274i | ||||
\(771\) | −1.35077 | − | 15.7309i | −0.0486466 | − | 0.566535i | ||||
\(772\) | −14.6486 | − | 6.55449i | −0.527214 | − | 0.235901i | ||||
\(773\) | −36.1821 | + | 36.1821i | −1.30138 | + | 1.30138i | −0.373917 | + | 0.927462i | \(0.621986\pi\) |
−0.927462 | + | 0.373917i | \(0.878014\pi\) | |||||||
\(774\) | 7.05893 | − | 6.52807i | 0.253728 | − | 0.234647i | ||||
\(775\) | −4.31976 | −0.155170 | ||||||||
\(776\) | 30.5966 | + | 22.3598i | 1.09835 | + | 0.802670i | ||||
\(777\) | 10.6870 | + | 8.99685i | 0.383396 | + | 0.322760i | ||||
\(778\) | −43.1619 | + | 27.9729i | −1.54743 | + | 1.00288i | ||||
\(779\) | −57.9432 | − | 57.9432i | −2.07603 | − | 2.07603i | ||||
\(780\) | 1.20023 | − | 3.44692i | 0.0429751 | − | 0.123420i | ||||
\(781\) | 5.00520 | − | 5.00520i | 0.179100 | − | 0.179100i | ||||
\(782\) | 21.0408 | + | 4.49273i | 0.752419 | + | 0.160660i | ||||
\(783\) | 28.5307 | + | 16.6564i | 1.01960 | + | 0.595252i | ||||
\(784\) | −15.2960 | − | 17.1150i | −0.546287 | − | 0.611249i | ||||
\(785\) | 18.8356i | 0.672273i | ||||||||
\(786\) | 12.7675 | − | 9.92305i | 0.455402 | − | 0.353943i | ||||
\(787\) | 22.3145 | + | 22.3145i | 0.795426 | + | 0.795426i | 0.982370 | − | 0.186945i | \(-0.0598585\pi\) |
−0.186945 | + | 0.982370i | \(0.559858\pi\) | |||||||
\(788\) | −7.76682 | + | 2.96492i | −0.276681 | + | 0.105621i | ||||
\(789\) | 3.62176 | + | 42.1787i | 0.128938 | + | 1.50160i | ||||
\(790\) | −6.28055 | − | 9.69082i | −0.223452 | − | 0.344784i | ||||
\(791\) | 2.38274i | 0.0847204i | ||||||||
\(792\) | 1.35862 | + | 4.02393i | 0.0482764 | + | 0.142984i | ||||
\(793\) | − | 0.810532i | − | 0.0287828i | ||||||
\(794\) | −34.5370 | + | 22.3832i | −1.22567 | + | 0.794348i | ||||
\(795\) | 0.648933 | + | 7.55742i | 0.0230153 | + | 0.268034i | ||||
\(796\) | 20.9096 | + | 9.35598i | 0.741122 | + | 0.331614i | ||||
\(797\) | 7.91987 | + | 7.91987i | 0.280536 | + | 0.280536i | 0.833323 | − | 0.552787i | \(-0.186436\pi\) |
−0.552787 | + | 0.833323i | \(0.686436\pi\) | |||||||
\(798\) | 13.1117 | + | 16.8702i | 0.464150 | + | 0.597199i | ||||
\(799\) | − | 22.8154i | − | 0.807151i | ||||||
\(800\) | −4.91202 | + | 2.80573i | −0.173666 | + | 0.0991974i | ||||
\(801\) | −50.5533 | + | 8.74620i | −1.78621 | + | 0.309032i | ||||
\(802\) | 3.95370 | − | 18.5164i | 0.139610 | − | 0.653837i | ||||
\(803\) | −3.49834 | + | 3.49834i | −0.123454 | + | 0.123454i | ||||
\(804\) | 5.08063 | + | 10.5090i | 0.179180 | + | 0.370623i | ||||
\(805\) | −1.96629 | − | 1.96629i | −0.0693025 | − | 0.0693025i | ||||
\(806\) | 3.50070 | + | 5.40155i | 0.123307 | + | 0.190262i | ||||
\(807\) | 22.4574 | + | 18.9057i | 0.790537 | + | 0.665511i | ||||
\(808\) | 13.3156 | − | 2.07110i | 0.468442 | − | 0.0728611i | ||||
\(809\) | 32.3002 | 1.13561 | 0.567807 | − | 0.823162i | \(-0.307792\pi\) | ||||
0.567807 | + | 0.823162i | \(0.307792\pi\) | |||||||
\(810\) | 7.73450 | − | 10.1083i | 0.271763 | − | 0.355169i | ||||
\(811\) | 0.250525 | − | 0.250525i | 0.00879714 | − | 0.00879714i | −0.702695 | − | 0.711492i | \(-0.748020\pi\) |
0.711492 | + | 0.702695i | \(0.248020\pi\) | |||||||
\(812\) | 5.09349 | + | 13.3428i | 0.178746 | + | 0.468239i | ||||
\(813\) | −1.31059 | − | 15.2630i | −0.0459643 | − | 0.535297i | ||||
\(814\) | −1.06145 | + | 4.97109i | −0.0372037 | + | 0.174237i | ||||
\(815\) | 7.31476 | 0.256225 | ||||||||
\(816\) | −29.1992 | + | 30.9807i | −1.02218 | + | 1.08454i | ||||
\(817\) | 17.6003 | 0.615756 | ||||||||
\(818\) | 6.57819 | − | 30.8077i | 0.230001 | − | 1.07717i | ||||
\(819\) | −2.04565 | + | 2.90157i | −0.0714810 | + | 0.101389i | ||||
\(820\) | −19.7147 | + | 7.52593i | −0.688468 | + | 0.262817i | ||||
\(821\) | −21.7932 | + | 21.7932i | −0.760589 | + | 0.760589i | −0.976429 | − | 0.215839i | \(-0.930751\pi\) |
0.215839 | + | 0.976429i | \(0.430751\pi\) | |||||||
\(822\) | 1.44358 | + | 0.180965i | 0.0503505 | + | 0.00631188i | ||||
\(823\) | 3.78296 | 0.131866 | 0.0659329 | − | 0.997824i | \(-0.478998\pi\) | ||||
0.0659329 | + | 0.997824i | \(0.478998\pi\) | |||||||
\(824\) | −35.8211 | − | 26.1779i | −1.24789 | − | 0.911949i | ||||
\(825\) | 0.558324 | − | 0.663213i | 0.0194383 | − | 0.0230901i | ||||
\(826\) | −2.48759 | − | 3.83832i | −0.0865542 | − | 0.133552i | ||||
\(827\) | 22.8419 | + | 22.8419i | 0.794289 | + | 0.794289i | 0.982188 | − | 0.187899i | \(-0.0601678\pi\) |
−0.187899 | + | 0.982188i | \(0.560168\pi\) | |||||||
\(828\) | 3.66680 | − | 14.3954i | 0.127430 | − | 0.500275i | ||||
\(829\) | 25.8791 | − | 25.8791i | 0.898819 | − | 0.898819i | −0.0965129 | − | 0.995332i | \(-0.530769\pi\) |
0.995332 | + | 0.0965129i | \(0.0307689\pi\) | |||||||
\(830\) | −0.0837908 | + | 0.392419i | −0.00290842 | + | 0.0136211i | ||||
\(831\) | 17.2574 | + | 14.5281i | 0.598652 | + | 0.503973i | ||||
\(832\) | 7.48902 | + | 3.86838i | 0.259635 | + | 0.134112i | ||||
\(833\) | 35.2620i | 1.22176i | ||||||||
\(834\) | 32.0165 | − | 24.8836i | 1.10864 | − | 0.861647i | ||||
\(835\) | −0.0710283 | − | 0.0710283i | −0.00245804 | − | 0.00245804i | ||||
\(836\) | −3.17532 | + | 7.09650i | −0.109821 | + | 0.245437i | ||||
\(837\) | 5.70473 | + | 21.7091i | 0.197184 | + | 0.750377i | ||||
\(838\) | −12.0815 | + | 7.82993i | −0.417349 | + | 0.270481i | ||||
\(839\) | 40.8189i | 1.40923i | 0.709592 | + | 0.704613i | \(0.248879\pi\) | ||||
−0.709592 | + | 0.704613i | \(0.751121\pi\) | |||||||
\(840\) | 5.34465 | − | 1.30770i | 0.184408 | − | 0.0451198i | ||||
\(841\) | 11.4236i | 0.393917i | ||||||||
\(842\) | −7.37472 | − | 11.3791i | −0.254150 | − | 0.392150i | ||||
\(843\) | −17.4045 | + | 1.49447i | −0.599443 | + | 0.0514723i | ||||
\(844\) | 15.1315 | + | 39.6380i | 0.520847 | + | 1.36440i | ||||
\(845\) | −8.40739 | − | 8.40739i | −0.289223 | − | 0.289223i | ||||
\(846\) | −15.7408 | − | 0.615012i | −0.541180 | − | 0.0211446i | ||||
\(847\) | 12.0733i | 0.414843i | ||||||||
\(848\) | −17.4898 | − | 0.981542i | −0.600603 | − | 0.0337063i | ||||
\(849\) | −3.23365 | + | 3.84114i | −0.110979 | + | 0.131828i | ||||
\(850\) | 8.49845 | + | 1.81462i | 0.291495 | + | 0.0622411i | ||||
\(851\) | 12.5719 | − | 12.5719i | 0.430959 | − | 0.430959i | ||||
\(852\) | 16.1096 | − | 46.2648i | 0.551904 | − | 1.58501i | ||||
\(853\) | −28.8336 | − | 28.8336i | −0.987245 | − | 0.987245i | 0.0126748 | − | 0.999920i | \(-0.495965\pi\) |
−0.999920 | + | 0.0126748i | \(0.995965\pi\) | |||||||
\(854\) | 1.02538 | − | 0.664541i | 0.0350878 | − | 0.0227401i | ||||
\(855\) | 22.9580 | − | 3.97195i | 0.785146 | − | 0.135838i | ||||
\(856\) | 2.06212 | + | 13.2579i | 0.0704819 | + | 0.453145i | ||||
\(857\) | 15.9421 | 0.544571 | 0.272286 | − | 0.962216i | \(-0.412220\pi\) | ||||
0.272286 | + | 0.962216i | \(0.412220\pi\) | |||||||
\(858\) | −1.28176 | − | 0.160680i | −0.0437586 | − | 0.00548552i | ||||
\(859\) | −19.2238 | + | 19.2238i | −0.655908 | + | 0.655908i | −0.954409 | − | 0.298501i | \(-0.903513\pi\) |
0.298501 | + | 0.954409i | \(0.403513\pi\) | |||||||
\(860\) | 1.85118 | − | 4.13718i | 0.0631246 | − | 0.141077i | ||||
\(861\) | 20.4506 | − | 1.75603i | 0.696953 | − | 0.0598452i | ||||
\(862\) | 24.3498 | + | 5.19927i | 0.829358 | + | 0.177088i | ||||
\(863\) | 9.61129 | 0.327172 | 0.163586 | − | 0.986529i | \(-0.447694\pi\) | ||||
0.163586 | + | 0.986529i | \(0.447694\pi\) | |||||||
\(864\) | 20.5871 | + | 20.9802i | 0.700389 | + | 0.713762i | ||||
\(865\) | −11.4174 | −0.388204 | ||||||||
\(866\) | −22.0746 | − | 4.71346i | −0.750126 | − | 0.160170i | ||||
\(867\) | 35.8226 | − | 3.07598i | 1.21660 | − | 0.104466i | ||||
\(868\) | −3.96317 | + | 8.85727i | −0.134519 | + | 0.300635i | ||||
\(869\) | −2.89004 | + | 2.89004i | −0.0980381 | + | 0.0980381i | ||||
\(870\) | 15.4528 | + | 1.93714i | 0.523899 | + | 0.0656753i | ||||
\(871\) | −3.55035 | −0.120299 | ||||||||
\(872\) | −0.224444 | + | 0.0349099i | −0.00760064 | + | 0.00118220i | ||||
\(873\) | −39.6065 | + | 6.85230i | −1.34048 | + | 0.231915i | ||||
\(874\) | 22.8195 | − | 14.7892i | 0.771883 | − | 0.500251i | ||||
\(875\) | −0.794189 | − | 0.794189i | −0.0268485 | − | 0.0268485i | ||||
\(876\) | −11.2596 | + | 32.3363i | −0.380427 | + | 1.09254i | ||||
\(877\) | −1.48744 | + | 1.48744i | −0.0502272 | + | 0.0502272i | −0.731774 | − | 0.681547i | \(-0.761307\pi\) |
0.681547 | + | 0.731774i | \(0.261307\pi\) | |||||||
\(878\) | 34.8357 | + | 7.43826i | 1.17565 | + | 0.251029i | ||||
\(879\) | −21.5412 | + | 25.5881i | −0.726568 | + | 0.863065i | ||||
\(880\) | 1.33415 | + | 1.49280i | 0.0449742 | + | 0.0503223i | ||||
\(881\) | − | 53.3497i | − | 1.79740i | −0.438567 | − | 0.898699i | \(-0.644514\pi\) | ||
0.438567 | − | 0.898699i | \(-0.355486\pi\) | |||||||
\(882\) | 24.3280 | + | 0.950522i | 0.819165 | + | 0.0320057i | ||||
\(883\) | −18.2721 | − | 18.2721i | −0.614904 | − | 0.614904i | 0.329316 | − | 0.944220i | \(-0.393182\pi\) |
−0.944220 | + | 0.329316i | \(0.893182\pi\) | |||||||
\(884\) | −4.61803 | − | 12.0973i | −0.155321 | − | 0.406875i | ||||
\(885\) | −4.96936 | + | 0.426704i | −0.167043 | + | 0.0143435i | ||||
\(886\) | −11.7178 | − | 18.0805i | −0.393669 | − | 0.607427i | ||||
\(887\) | − | 13.1325i | − | 0.440948i | −0.975393 | − | 0.220474i | \(-0.929240\pi\) | ||
0.975393 | − | 0.220474i | \(-0.0707604\pi\) | |||||||
\(888\) | 8.36104 | + | 34.1721i | 0.280578 | + | 1.14674i | ||||
\(889\) | − | 22.9407i | − | 0.769406i | ||||||
\(890\) | −20.2955 | + | 13.1534i | −0.680306 | + | 0.440901i | ||||
\(891\) | −4.07033 | − | 1.93003i | −0.136361 | − | 0.0646583i | ||||
\(892\) | −17.0808 | + | 38.1739i | −0.571909 | + | 1.27816i | ||||
\(893\) | −20.3903 | − | 20.3903i | −0.682335 | − | 0.682335i | ||||
\(894\) | −34.6980 | + | 26.9676i | −1.16047 | + | 0.901933i | ||||
\(895\) | 13.7666i | 0.460166i | ||||||||
\(896\) | 1.24634 | + | 12.6457i | 0.0416374 | + | 0.422465i | ||||
\(897\) | 3.45654 | + | 2.90988i | 0.115411 | + | 0.0971579i | ||||
\(898\) | 3.81051 | − | 17.8458i | 0.127158 | − | 0.595523i | ||||
\(899\) | −19.4206 | + | 19.4206i | −0.647713 | + | 0.647713i | ||||
\(900\) | 1.48103 | − | 5.81434i | 0.0493677 | − | 0.193811i | ||||
\(901\) | 19.0283 | + | 19.0283i | 0.633924 | + | 0.633924i | ||||
\(902\) | 4.06192 | + | 6.26750i | 0.135247 | + | 0.208685i | ||||
\(903\) | −2.83924 | + | 3.37263i | −0.0944839 | + | 0.112234i | ||||
\(904\) | −3.54043 | + | 4.84464i | −0.117753 | + | 0.161130i | ||||
\(905\) | 12.4008 | 0.412215 | ||||||||
\(906\) | −49.5071 | − | 6.20615i | −1.64476 | − | 0.206185i | ||||
\(907\) | −17.9022 | + | 17.9022i | −0.594433 | + | 0.594433i | −0.938826 | − | 0.344393i | \(-0.888085\pi\) |
0.344393 | + | 0.938826i | \(0.388085\pi\) | |||||||
\(908\) | 23.9280 | − | 9.13430i | 0.794077 | − | 0.303133i | ||||
\(909\) | −8.23587 | + | 11.6818i | −0.273166 | + | 0.387461i | ||||
\(910\) | −0.349471 | + | 1.63668i | −0.0115848 | + | 0.0542554i | ||||
\(911\) | −8.31540 | −0.275501 | −0.137751 | − | 0.990467i | \(-0.543987\pi\) | ||||
−0.137751 | + | 0.990467i | \(0.543987\pi\) | |||||||
\(912\) | 1.59217 | + | 53.7832i | 0.0527222 | + | 1.78094i | ||||
\(913\) | 0.142018 | 0.00470010 | ||||||||
\(914\) | −0.681616 | + | 3.19222i | −0.0225459 | + | 0.105589i | ||||
\(915\) | −0.113991 | − | 1.32753i | −0.00376842 | − | 0.0438868i | ||||
\(916\) | 10.7948 | + | 28.2779i | 0.356672 | + | 0.934327i | ||||
\(917\) | −5.24281 | + | 5.24281i | −0.173133 | + | 0.173133i | ||||
\(918\) | −2.10370 | − | 45.1057i | −0.0694324 | − | 1.48871i | ||||
\(919\) | 57.0505 | 1.88192 | 0.940961 | − | 0.338514i | \(-0.109924\pi\) | ||||
0.940961 | + | 0.338514i | \(0.109924\pi\) | |||||||
\(920\) | −1.07626 | − | 6.91955i | −0.0354833 | − | 0.228131i | ||||
\(921\) | −0.659037 | − | 0.554808i | −0.0217160 | − | 0.0182815i | ||||
\(922\) | −17.1482 | − | 26.4594i | −0.564745 | − | 0.871395i | ||||
\(923\) | 10.5363 | + | 10.5363i | 0.346806 | + | 0.346806i | ||||
\(924\) | −0.847622 | − | 1.75326i | −0.0278847 | − | 0.0576779i | ||||
\(925\) | 5.07782 | − | 5.07782i | 0.166958 | − | 0.166958i | ||||
\(926\) | 5.33735 | − | 24.9965i | 0.175396 | − | 0.821436i | ||||
\(927\) | 46.3695 | − | 8.02237i | 1.52297 | − | 0.263489i | ||||
\(928\) | −9.46936 | + | 34.6971i | −0.310847 | + | 1.13899i | ||||
\(929\) | 2.69835i | 0.0885300i | 0.999020 | + | 0.0442650i | \(0.0140946\pi\) | ||||
−0.999020 | + | 0.0442650i | \(0.985905\pi\) | |||||||
\(930\) | 6.49329 | + | 8.35460i | 0.212923 | + | 0.273958i | ||||
\(931\) | 31.5139 | + | 31.5139i | 1.03283 | + | 1.03283i | ||||
\(932\) | −1.90926 | − | 0.854297i | −0.0625400 | − | 0.0279834i | ||||
\(933\) | 3.75702 | + | 43.7540i | 0.122999 | + | 1.43244i | ||||
\(934\) | 31.6436 | − | 20.5080i | 1.03541 | − | 0.671042i | ||||
\(935\) | − | 3.07562i | − | 0.100583i | ||||||
\(936\) | −8.47063 | + | 2.85998i | −0.276871 | + | 0.0934813i | ||||
\(937\) | 40.0708i | 1.30906i | 0.756037 | + | 0.654528i | \(0.227133\pi\) | ||||
−0.756037 | + | 0.654528i | \(0.772867\pi\) | |||||||
\(938\) | −2.91087 | − | 4.49144i | −0.0950433 | − | 0.146651i | ||||
\(939\) | 3.17335 | + | 36.9566i | 0.103558 | + | 1.20603i | ||||
\(940\) | −6.93764 | + | 2.64839i | −0.226281 | + | 0.0863809i | ||||
\(941\) | −15.1886 | − | 15.1886i | −0.495135 | − | 0.495135i | 0.414785 | − | 0.909920i | \(-0.363857\pi\) |
−0.909920 | + | 0.414785i | \(0.863857\pi\) | |||||||
\(942\) | 36.4289 | − | 28.3129i | 1.18692 | − | 0.922485i | ||||
\(943\) | − | 26.1231i | − | 0.850684i | ||||||
\(944\) | 0.645410 | − | 11.5004i | 0.0210063 | − | 0.374306i | ||||
\(945\) | −2.94241 | + | 5.04004i | −0.0957165 | + | 0.163952i | ||||
\(946\) | −1.56878 | − | 0.334973i | −0.0510056 | − | 0.0108909i | ||||
\(947\) | 1.64124 | − | 1.64124i | 0.0533330 | − | 0.0533330i | −0.679937 | − | 0.733270i | \(-0.737993\pi\) |
0.733270 | + | 0.679937i | \(0.237993\pi\) | |||||||
\(948\) | −9.30179 | + | 26.7137i | −0.302108 | + | 0.867620i | ||||
\(949\) | −7.36422 | − | 7.36422i | −0.239053 | − | 0.239053i | ||||
\(950\) | 9.21687 | − | 5.97339i | 0.299035 | − | 0.193802i | ||||
\(951\) | 27.5301 | + | 23.1761i | 0.892725 | + | 0.751537i | ||||
\(952\) | 11.5176 | − | 15.7605i | 0.373289 | − | 0.510799i | ||||
\(953\) | 7.69106 | 0.249138 | 0.124569 | − | 0.992211i | \(-0.460245\pi\) | ||||
0.124569 | + | 0.992211i | \(0.460245\pi\) | |||||||
\(954\) | 13.6409 | − | 12.6151i | 0.441641 | − | 0.408428i | ||||
\(955\) | −6.67960 | + | 6.67960i | −0.216147 | + | 0.216147i | ||||
\(956\) | 40.2031 | + | 17.9888i | 1.30026 | + | 0.581800i | ||||
\(957\) | −0.471558 | − | 5.49173i | −0.0152433 | − | 0.177522i | ||||
\(958\) | 14.6767 | + | 3.13384i | 0.474184 | + | 0.101250i | ||||
\(959\) | −0.667097 | −0.0215417 | ||||||||
\(960\) | 12.8099 | + | 5.28259i | 0.413439 | + | 0.170495i | ||||
\(961\) | 12.3396 | 0.398053 | ||||||||
\(962\) | −10.4645 | − | 2.23442i | −0.337388 | − | 0.0720404i | ||||
\(963\) | −11.6312 | − | 8.20015i | −0.374809 | − | 0.264246i | ||||
\(964\) | −32.2323 | − | 14.4223i | −1.03813 | − | 0.464510i | ||||
\(965\) | 5.67387 | − | 5.67387i | 0.182648 | − | 0.182648i | ||||
\(966\) | −0.847240 | + | 6.75852i | −0.0272595 | + | 0.217452i | ||||
\(967\) | 8.28040 | 0.266280 | 0.133140 | − | 0.991097i | \(-0.457494\pi\) | ||||
0.133140 | + | 0.991097i | \(0.457494\pi\) | |||||||
\(968\) | −17.9393 | + | 24.5477i | −0.576591 | + | 0.788994i | ||||
\(969\) | 53.2332 | − | 63.2338i | 1.71010 | − | 2.03136i | ||||
\(970\) | −15.9007 | + | 10.3051i | −0.510541 | + | 0.330878i | ||||
\(971\) | −17.0367 | − | 17.0367i | −0.546734 | − | 0.546734i | 0.378761 | − | 0.925495i | \(-0.376350\pi\) |
−0.925495 | + | 0.378761i | \(0.876350\pi\) | |||||||
\(972\) | −31.1760 | + | 0.235516i | −0.999971 | + | 0.00755418i | ||||
\(973\) | −13.1471 | + | 13.1471i | −0.421478 | + | 0.421478i | ||||
\(974\) | 37.7360 | + | 8.05755i | 1.20914 | + | 0.258180i | ||||
\(975\) | 1.39611 | + | 1.17531i | 0.0447112 | + | 0.0376399i | ||||
\(976\) | 3.07225 | + | 0.172417i | 0.0983402 | + | 0.00551893i | ||||
\(977\) | 27.9191i | 0.893210i | 0.894731 | + | 0.446605i | \(0.147367\pi\) | ||||
−0.894731 | + | 0.446605i | \(0.852633\pi\) | |||||||
\(978\) | −10.9952 | − | 14.1471i | −0.351589 | − | 0.452373i | ||||
\(979\) | 6.05262 | + | 6.05262i | 0.193443 | + | 0.193443i | ||||
\(980\) | 10.7224 | − | 4.09317i | 0.342513 | − | 0.130751i | ||||
\(981\) | 0.138822 | − | 0.196906i | 0.00443223 | − | 0.00628671i | ||||
\(982\) | −5.71916 | − | 8.82460i | −0.182506 | − | 0.281604i | ||||
\(983\) | − | 10.3040i | − | 0.328646i | −0.986407 | − | 0.164323i | \(-0.947456\pi\) | ||
0.986407 | − | 0.164323i | \(-0.0525439\pi\) | |||||||
\(984\) | 44.1898 | + | 26.8164i | 1.40872 | + | 0.854876i | ||||
\(985\) | − | 4.15675i | − | 0.132445i | ||||||
\(986\) | 46.3650 | − | 30.0488i | 1.47656 | − | 0.956950i | ||||
\(987\) | 7.19658 | − | 0.617949i | 0.229070 | − | 0.0196695i | ||||
\(988\) | −14.9386 | − | 6.68424i | −0.475259 | − | 0.212654i | ||||
\(989\) | 3.96745 | + | 3.96745i | 0.126158 | + | 0.126158i | ||||
\(990\) | −2.12193 | − | 0.0829063i | −0.0674394 | − | 0.00263494i | ||||
\(991\) | − | 5.61753i | − | 0.178447i | −0.996012 | − | 0.0892233i | \(-0.971562\pi\) | ||
0.996012 | − | 0.0892233i | \(-0.0284385\pi\) | |||||||
\(992\) | −21.2187 | + | 12.1201i | −0.673696 | + | 0.384813i | ||||
\(993\) | −21.4624 | + | 25.4944i | −0.681088 | + | 0.809040i | ||||
\(994\) | −4.69062 | + | 21.9676i | −0.148777 | + | 0.696771i | ||||
\(995\) | −8.09897 | + | 8.09897i | −0.256755 | + | 0.256755i | ||||
\(996\) | 0.884905 | − | 0.427812i | 0.0280393 | − | 0.0135558i | ||||
\(997\) | 33.8451 | + | 33.8451i | 1.07189 | + | 1.07189i | 0.997208 | + | 0.0746777i | \(0.0237928\pi\) |
0.0746777 | + | 0.997208i | \(0.476207\pi\) | |||||||
\(998\) | −11.3566 | − | 17.5232i | −0.359488 | − | 0.554687i | ||||
\(999\) | −32.2246 | − | 18.8129i | −1.01954 | − | 0.595214i |
(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 | 240.2.bk.b.11.2 | ✓ | 60 | |
3.2 | odd | 2 | inner | 240.2.bk.b.11.29 | yes | 60 | |
4.3 | odd | 2 | 960.2.bk.b.911.30 | 60 | |||
12.11 | even | 2 | 960.2.bk.b.911.15 | 60 | |||
16.3 | odd | 4 | inner | 240.2.bk.b.131.29 | yes | 60 | |
16.13 | even | 4 | 960.2.bk.b.431.15 | 60 | |||
48.29 | odd | 4 | 960.2.bk.b.431.30 | 60 | |||
48.35 | even | 4 | inner | 240.2.bk.b.131.2 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
240.2.bk.b.11.2 | ✓ | 60 | 1.1 | even | 1 | trivial | |
240.2.bk.b.11.29 | yes | 60 | 3.2 | odd | 2 | inner | |
240.2.bk.b.131.2 | yes | 60 | 48.35 | even | 4 | inner | |
240.2.bk.b.131.29 | yes | 60 | 16.3 | odd | 4 | inner | |
960.2.bk.b.431.15 | 60 | 16.13 | even | 4 | |||
960.2.bk.b.431.30 | 60 | 48.29 | odd | 4 | |||
960.2.bk.b.911.15 | 60 | 12.11 | even | 2 | |||
960.2.bk.b.911.30 | 60 | 4.3 | odd | 2 |