Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.14 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.88806 | − | 1.37175i | 0.944028 | − | 0.685876i | −0.00535908 | − | 0.999986i | \(-0.501706\pi\) |
0.949387 | + | 0.314109i | \(0.101706\pi\) | |||||||
\(3\) | −2.67611 | − | 1.35589i | −0.892036 | − | 0.451964i | ||||
\(4\) | 0.446980 | − | 1.37566i | 0.111745 | − | 0.343916i | ||||
\(5\) | 0.465978 | − | 4.97824i | 0.0931956 | − | 0.995648i | ||||
\(6\) | −6.91259 | + | 1.11096i | −1.15210 | + | 0.185160i | ||||
\(7\) | − | 12.5544i | − | 1.79348i | −0.442556 | − | 0.896741i | \(-0.645928\pi\) | ||
0.442556 | − | 0.896741i | \(-0.354072\pi\) | |||||||
\(8\) | 1.84155 | + | 5.66769i | 0.230193 | + | 0.708462i | ||||
\(9\) | 5.32311 | + | 7.25703i | 0.591457 | + | 0.806337i | ||||
\(10\) | −5.94912 | − | 10.0384i | −0.594912 | − | 1.00384i | ||||
\(11\) | 7.59880 | + | 10.4589i | 0.690800 | + | 0.950805i | 1.00000 | 0.000192365i | \(-6.12317e-5\pi\) | |
−0.309200 | + | 0.950997i | \(0.600061\pi\) | |||||||
\(12\) | −3.06142 | + | 3.07537i | −0.255118 | + | 0.256281i | ||||
\(13\) | −2.92256 | + | 4.02255i | −0.224812 | + | 0.309427i | −0.906492 | − | 0.422223i | \(-0.861250\pi\) |
0.681680 | + | 0.731651i | \(0.261250\pi\) | |||||||
\(14\) | −17.2215 | − | 23.7033i | −1.23011 | − | 1.69310i | ||||
\(15\) | −7.99696 | + | 12.6905i | −0.533131 | + | 0.846033i | ||||
\(16\) | 15.9325 | + | 11.5756i | 0.995778 | + | 0.723475i | ||||
\(17\) | 3.32914 | + | 10.2460i | 0.195831 | + | 0.602707i | 0.999966 | + | 0.00825983i | \(0.00262922\pi\) |
−0.804134 | + | 0.594448i | \(0.797371\pi\) | |||||||
\(18\) | 20.0052 | + | 6.39968i | 1.11140 | + | 0.355538i | ||||
\(19\) | −1.29722 | − | 3.99244i | −0.0682748 | − | 0.210128i | 0.911098 | − | 0.412190i | \(-0.135236\pi\) |
−0.979373 | + | 0.202061i | \(0.935236\pi\) | |||||||
\(20\) | −6.64010 | − | 2.86620i | −0.332005 | − | 0.143310i | ||||
\(21\) | −17.0224 | + | 33.5969i | −0.810589 | + | 1.59985i | ||||
\(22\) | 28.6939 | + | 9.32322i | 1.30427 | + | 0.423783i | ||||
\(23\) | 17.6249 | − | 12.8053i | 0.766301 | − | 0.556751i | −0.134535 | − | 0.990909i | \(-0.542954\pi\) |
0.900837 | + | 0.434158i | \(0.142954\pi\) | |||||||
\(24\) | 2.75661 | − | 17.6643i | 0.114859 | − | 0.736012i | ||||
\(25\) | −24.5657 | − | 4.63950i | −0.982629 | − | 0.185580i | ||||
\(26\) | 11.6038i | 0.446301i | ||||||||
\(27\) | −4.40547 | − | 26.6382i | −0.163166 | − | 0.986599i | ||||
\(28\) | −17.2706 | − | 5.61156i | −0.616807 | − | 0.200413i | ||||
\(29\) | 26.0760 | + | 8.47261i | 0.899172 | + | 0.292159i | 0.721895 | − | 0.692002i | \(-0.243271\pi\) |
0.177277 | + | 0.984161i | \(0.443271\pi\) | |||||||
\(30\) | 2.30950 | + | 34.9302i | 0.0769834 | + | 1.16434i | ||||
\(31\) | −8.64023 | − | 26.5919i | −0.278717 | − | 0.857803i | −0.988212 | − | 0.153092i | \(-0.951077\pi\) |
0.709495 | − | 0.704711i | \(-0.248923\pi\) | |||||||
\(32\) | 22.1228 | 0.691336 | ||||||||
\(33\) | −6.15414 | − | 38.2922i | −0.186489 | − | 1.16037i | ||||
\(34\) | 20.3406 | + | 14.7783i | 0.598253 | + | 0.434656i | ||||
\(35\) | −62.4987 | − | 5.85006i | −1.78568 | − | 0.167145i | ||||
\(36\) | 12.3626 | − | 4.07906i | 0.343404 | − | 0.113307i | ||||
\(37\) | −0.0202976 | + | 0.0279372i | −0.000548584 | + | 0.000755061i | −0.809291 | − | 0.587408i | \(-0.800149\pi\) |
0.808743 | + | 0.588163i | \(0.200149\pi\) | |||||||
\(38\) | −7.92586 | − | 5.75848i | −0.208575 | − | 0.151539i | ||||
\(39\) | 13.2752 | − | 6.80212i | 0.340390 | − | 0.174413i | ||||
\(40\) | 29.0733 | − | 6.52663i | 0.726831 | − | 0.163166i | ||||
\(41\) | −44.4000 | + | 61.1113i | −1.08293 | + | 1.49052i | −0.226668 | + | 0.973972i | \(0.572783\pi\) |
−0.856258 | + | 0.516548i | \(0.827217\pi\) | |||||||
\(42\) | 13.9474 | + | 86.7832i | 0.332081 | + | 2.06627i | ||||
\(43\) | 43.3942i | 1.00917i | 0.863363 | + | 0.504583i | \(0.168354\pi\) | ||||
−0.863363 | + | 0.504583i | \(0.831646\pi\) | |||||||
\(44\) | 17.7844 | − | 5.77849i | 0.404190 | − | 0.131329i | ||||
\(45\) | 38.6077 | − | 23.1181i | 0.857949 | − | 0.513736i | ||||
\(46\) | 15.7112 | − | 48.3541i | 0.341548 | − | 1.05118i | ||||
\(47\) | −1.52001 | + | 4.67812i | −0.0323407 | + | 0.0995346i | −0.965924 | − | 0.258826i | \(-0.916664\pi\) |
0.933583 | + | 0.358361i | \(0.116664\pi\) | |||||||
\(48\) | −26.9417 | − | 52.5803i | −0.561285 | − | 1.09542i | ||||
\(49\) | −108.612 | −2.21658 | ||||||||
\(50\) | −52.7457 | + | 24.9385i | −1.05491 | + | 0.498769i | ||||
\(51\) | 4.98338 | − | 31.9334i | 0.0977134 | − | 0.626146i | ||||
\(52\) | 4.22736 | + | 5.81846i | 0.0812953 | + | 0.111893i | ||||
\(53\) | 0.528642 | − | 1.62699i | 0.00997438 | − | 0.0306980i | −0.945945 | − | 0.324326i | \(-0.894863\pi\) |
0.955920 | + | 0.293628i | \(0.0948626\pi\) | |||||||
\(54\) | −44.8587 | − | 44.2511i | −0.830717 | − | 0.819465i | ||||
\(55\) | 55.6075 | − | 32.9550i | 1.01105 | − | 0.599183i | ||||
\(56\) | 71.1543 | − | 23.1194i | 1.27061 | − | 0.412847i | ||||
\(57\) | −1.94181 | + | 12.4431i | −0.0340668 | + | 0.218300i | ||||
\(58\) | 60.8553 | − | 19.7731i | 1.04923 | − | 0.340915i | ||||
\(59\) | 28.0481 | − | 38.6049i | 0.475392 | − | 0.654321i | −0.502219 | − | 0.864740i | \(-0.667483\pi\) |
0.977611 | + | 0.210420i | \(0.0674830\pi\) | |||||||
\(60\) | 13.8834 | + | 16.6735i | 0.231389 | + | 0.277892i | ||||
\(61\) | −5.28161 | + | 3.83732i | −0.0865838 | + | 0.0629068i | −0.630235 | − | 0.776404i | \(-0.717041\pi\) |
0.543651 | + | 0.839311i | \(0.317041\pi\) | |||||||
\(62\) | −52.7907 | − | 38.3547i | −0.851463 | − | 0.618624i | ||||
\(63\) | 91.1074 | − | 66.8283i | 1.44615 | − | 1.06077i | ||||
\(64\) | −21.9608 | + | 15.9555i | −0.343138 | + | 0.249304i | ||||
\(65\) | 18.6634 | + | 16.4236i | 0.287129 | + | 0.252671i | ||||
\(66\) | −64.1467 | − | 63.8558i | −0.971920 | − | 0.967512i | ||||
\(67\) | −3.93744 | + | 1.27935i | −0.0587677 | + | 0.0190948i | −0.338253 | − | 0.941055i | \(-0.609836\pi\) |
0.279486 | + | 0.960150i | \(0.409836\pi\) | |||||||
\(68\) | 15.5831 | 0.229164 | ||||||||
\(69\) | −64.5288 | + | 10.3708i | −0.935200 | + | 0.150301i | ||||
\(70\) | −126.026 | + | 74.6874i | −1.80037 | + | 1.06696i | ||||
\(71\) | −51.8456 | − | 16.8457i | −0.730220 | − | 0.237263i | −0.0797717 | − | 0.996813i | \(-0.525419\pi\) |
−0.650449 | + | 0.759550i | \(0.725419\pi\) | |||||||
\(72\) | −31.3279 | + | 43.5339i | −0.435109 | + | 0.604638i | ||||
\(73\) | 21.0676 | + | 28.9970i | 0.288597 | + | 0.397220i | 0.928558 | − | 0.371188i | \(-0.121049\pi\) |
−0.639961 | + | 0.768408i | \(0.721049\pi\) | |||||||
\(74\) | 0.0805904i | 0.00108906i | ||||||||
\(75\) | 59.4499 | + | 45.7243i | 0.792665 | + | 0.609657i | ||||
\(76\) | −6.07208 | −0.0798958 | ||||||||
\(77\) | 131.304 | − | 95.3981i | 1.70525 | − | 1.23894i | ||||
\(78\) | 15.7335 | − | 31.0531i | 0.201712 | − | 0.398117i | ||||
\(79\) | 5.27573 | − | 16.2370i | 0.0667813 | − | 0.205532i | −0.912097 | − | 0.409974i | \(-0.865538\pi\) |
0.978879 | + | 0.204442i | \(0.0655379\pi\) | |||||||
\(80\) | 65.0503 | − | 73.9216i | 0.813129 | − | 0.924020i | ||||
\(81\) | −24.3290 | + | 77.2600i | −0.300358 | + | 0.953827i | ||||
\(82\) | 176.287i | 2.14985i | ||||||||
\(83\) | 17.6925 | + | 54.4519i | 0.213162 | + | 0.656046i | 0.999279 | + | 0.0379682i | \(0.0120885\pi\) |
−0.786117 | + | 0.618078i | \(0.787911\pi\) | |||||||
\(84\) | 38.6093 | + | 38.4342i | 0.459635 | + | 0.457550i | ||||
\(85\) | 52.5585 | − | 11.7988i | 0.618335 | − | 0.138810i | ||||
\(86\) | 59.5261 | + | 81.9306i | 0.692164 | + | 0.952682i | ||||
\(87\) | −58.2943 | − | 58.0299i | −0.670049 | − | 0.667010i | ||||
\(88\) | −45.2840 | + | 62.3281i | −0.514591 | + | 0.708274i | ||||
\(89\) | 44.4639 | + | 61.1993i | 0.499595 | + | 0.687633i | 0.982121 | − | 0.188248i | \(-0.0602809\pi\) |
−0.482527 | + | 0.875881i | \(0.660281\pi\) | |||||||
\(90\) | 41.1811 | − | 96.6085i | 0.457568 | − | 1.07343i | ||||
\(91\) | 50.5006 | + | 36.6908i | 0.554952 | + | 0.403196i | ||||
\(92\) | −9.73774 | − | 29.9697i | −0.105845 | − | 0.325757i | ||||
\(93\) | −12.9335 | + | 82.8780i | −0.139070 | + | 0.891161i | ||||
\(94\) | 3.54736 | + | 10.9176i | 0.0377378 | + | 0.116145i | ||||
\(95\) | −20.4798 | + | 4.59749i | −0.215577 | + | 0.0483946i | ||||
\(96\) | −59.2029 | − | 29.9961i | −0.616697 | − | 0.312459i | ||||
\(97\) | −28.4310 | − | 9.23778i | −0.293103 | − | 0.0952349i | 0.158775 | − | 0.987315i | \(-0.449246\pi\) |
−0.451878 | + | 0.892080i | \(0.649246\pi\) | |||||||
\(98\) | −205.066 | + | 148.989i | −2.09251 | + | 1.52030i | ||||
\(99\) | −35.4509 | + | 110.818i | −0.358090 | + | 1.11938i | ||||
\(100\) | −17.3628 | + | 31.7204i | −0.173628 | + | 0.317204i | ||||
\(101\) | − | 26.0891i | − | 0.258308i | −0.991625 | − | 0.129154i | \(-0.958774\pi\) | ||
0.991625 | − | 0.129154i | \(-0.0412261\pi\) | |||||||
\(102\) | −34.3959 | − | 67.1280i | −0.337214 | − | 0.658118i | ||||
\(103\) | −44.7560 | − | 14.5421i | −0.434524 | − | 0.141185i | 0.0835838 | − | 0.996501i | \(-0.473363\pi\) |
−0.518108 | + | 0.855315i | \(0.673363\pi\) | |||||||
\(104\) | −28.1806 | − | 9.15644i | −0.270967 | − | 0.0880427i | ||||
\(105\) | 159.321 | + | 100.397i | 1.51734 | + | 0.956160i | ||||
\(106\) | −1.23373 | − | 3.79702i | −0.0116389 | − | 0.0358209i | ||||
\(107\) | −149.068 | −1.39316 | −0.696581 | − | 0.717478i | \(-0.745296\pi\) | ||||
−0.696581 | + | 0.717478i | \(0.745296\pi\) | |||||||
\(108\) | −38.6143 | − | 5.84629i | −0.357540 | − | 0.0541323i | ||||
\(109\) | 120.472 | + | 87.5279i | 1.10525 | + | 0.803008i | 0.981908 | − | 0.189357i | \(-0.0606402\pi\) |
0.123338 | + | 0.992365i | \(0.460640\pi\) | |||||||
\(110\) | 59.7839 | − | 138.501i | 0.543490 | − | 1.25910i | ||||
\(111\) | 0.0921985 | − | 0.0472417i | 0.000830617 | − | 0.000425601i | ||||
\(112\) | 145.324 | − | 200.022i | 1.29754 | − | 1.78591i | ||||
\(113\) | −47.3048 | − | 34.3689i | −0.418626 | − | 0.304150i | 0.358458 | − | 0.933546i | \(-0.383302\pi\) |
−0.777085 | + | 0.629396i | \(0.783302\pi\) | |||||||
\(114\) | 13.4026 | + | 26.1569i | 0.117567 | + | 0.229447i | ||||
\(115\) | −55.5348 | − | 93.7081i | −0.482912 | − | 0.814853i | ||||
\(116\) | 23.3109 | − | 32.0847i | 0.200956 | − | 0.276592i | ||||
\(117\) | −44.7489 | + | 0.203422i | −0.382469 | + | 0.00173865i | ||||
\(118\) | − | 111.363i | − | 0.943757i | ||||||
\(119\) | 128.632 | − | 41.7952i | 1.08094 | − | 0.351220i | ||||
\(120\) | −86.6526 | − | 21.9542i | −0.722105 | − | 0.182952i | ||||
\(121\) | −14.2548 | + | 43.8716i | −0.117808 | + | 0.362575i | ||||
\(122\) | −4.70813 | + | 14.4901i | −0.0385912 | + | 0.118772i | ||||
\(123\) | 201.679 | − | 103.339i | 1.63967 | − | 0.840154i | ||||
\(124\) | −40.4435 | −0.326157 | ||||||||
\(125\) | −34.5436 | + | 120.132i | −0.276349 | + | 0.961057i | ||||
\(126\) | 80.3440 | − | 251.152i | 0.637651 | − | 1.99327i | ||||
\(127\) | −78.3016 | − | 107.773i | −0.616548 | − | 0.848605i | 0.380548 | − | 0.924761i | \(-0.375735\pi\) |
−0.997096 | + | 0.0761557i | \(0.975735\pi\) | |||||||
\(128\) | −46.9215 | + | 144.410i | −0.366574 | + | 1.12820i | ||||
\(129\) | 58.8378 | − | 116.128i | 0.456107 | − | 0.900213i | ||||
\(130\) | 57.7666 | + | 5.40713i | 0.444359 | + | 0.0415933i | ||||
\(131\) | 201.121 | − | 65.3482i | 1.53528 | − | 0.498841i | 0.585208 | − | 0.810883i | \(-0.301013\pi\) |
0.950068 | + | 0.312042i | \(0.101013\pi\) | |||||||
\(132\) | −55.4279 | − | 8.64983i | −0.419909 | − | 0.0655290i | ||||
\(133\) | −50.1225 | + | 16.2858i | −0.376861 | + | 0.122450i | ||||
\(134\) | −5.67915 | + | 7.81668i | −0.0423817 | + | 0.0583334i | ||||
\(135\) | −134.664 | + | 9.51868i | −0.997511 | + | 0.0705088i | ||||
\(136\) | −51.9406 | + | 37.7370i | −0.381916 | + | 0.277478i | ||||
\(137\) | −155.247 | − | 112.794i | −1.13319 | − | 0.823312i | −0.147036 | − | 0.989131i | \(-0.546973\pi\) |
−0.986156 | + | 0.165819i | \(0.946973\pi\) | |||||||
\(138\) | −107.608 | + | 108.098i | −0.779767 | + | 0.783320i | ||||
\(139\) | 82.6077 | − | 60.0180i | 0.594300 | − | 0.431784i | −0.249551 | − | 0.968362i | \(-0.580283\pi\) |
0.843851 | + | 0.536577i | \(0.180283\pi\) | |||||||
\(140\) | −35.9834 | + | 83.3623i | −0.257024 | + | 0.595445i | ||||
\(141\) | 10.4108 | − | 10.4582i | 0.0738352 | − | 0.0741716i | ||||
\(142\) | −120.996 | + | 39.3138i | −0.852081 | + | 0.276858i | ||||
\(143\) | −64.2792 | −0.449505 | ||||||||
\(144\) | 0.805710 | + | 177.240i | 0.00559521 | + | 1.23084i | ||||
\(145\) | 54.3295 | − | 125.865i | 0.374686 | − | 0.868031i | ||||
\(146\) | 79.5535 | + | 25.8485i | 0.544887 | + | 0.177045i | ||||
\(147\) | 290.658 | + | 147.266i | 1.97727 | + | 1.00181i | ||||
\(148\) | 0.0293596 | + | 0.0404101i | 0.000198376 | + | 0.000273041i | ||||
\(149\) | 114.565i | 0.768892i | 0.923148 | + | 0.384446i | \(0.125607\pi\) | ||||
−0.923148 | + | 0.384446i | \(0.874393\pi\) | |||||||
\(150\) | 174.967 | + | 4.77947i | 1.16645 | + | 0.0318631i | ||||
\(151\) | −163.992 | −1.08604 | −0.543019 | − | 0.839720i | \(-0.682719\pi\) | ||||
−0.543019 | + | 0.839720i | \(0.682719\pi\) | |||||||
\(152\) | 20.2390 | − | 14.7045i | 0.133151 | − | 0.0967402i | ||||
\(153\) | −56.6344 | + | 78.7004i | −0.370159 | + | 0.514382i | ||||
\(154\) | 117.047 | − | 360.234i | 0.760046 | − | 2.33918i | ||||
\(155\) | −136.407 | + | 30.6219i | −0.880044 | + | 0.197560i | ||||
\(156\) | −3.42366 | − | 21.3027i | −0.0219466 | − | 0.136556i | ||||
\(157\) | − | 73.2155i | − | 0.466341i | −0.972436 | − | 0.233170i | \(-0.925090\pi\) | ||
0.972436 | − | 0.233170i | \(-0.0749100\pi\) | |||||||
\(158\) | −12.3123 | − | 37.8934i | −0.0779260 | − | 0.239831i | ||||
\(159\) | −3.62073 | + | 3.63723i | −0.0227719 | + | 0.0228756i | ||||
\(160\) | 10.3087 | − | 110.132i | 0.0644295 | − | 0.688327i | ||||
\(161\) | −160.762 | − | 221.270i | −0.998522 | − | 1.37435i | ||||
\(162\) | 60.0471 | + | 179.244i | 0.370661 | + | 1.10645i | ||||
\(163\) | 11.4612 | − | 15.7750i | 0.0703141 | − | 0.0967790i | −0.772412 | − | 0.635122i | \(-0.780950\pi\) |
0.842726 | + | 0.538343i | \(0.180950\pi\) | |||||||
\(164\) | 64.2227 | + | 88.3950i | 0.391602 | + | 0.538994i | ||||
\(165\) | −193.495 | + | 12.7934i | −1.17270 | + | 0.0775360i | ||||
\(166\) | 108.099 | + | 78.5384i | 0.651198 | + | 0.473123i | ||||
\(167\) | 28.1359 | + | 86.5934i | 0.168478 | + | 0.518523i | 0.999276 | − | 0.0380519i | \(-0.0121152\pi\) |
−0.830797 | + | 0.556575i | \(0.812115\pi\) | |||||||
\(168\) | −221.764 | − | 34.6075i | −1.32002 | − | 0.205997i | ||||
\(169\) | 44.5843 | + | 137.216i | 0.263812 | + | 0.811931i | ||||
\(170\) | 83.0483 | − | 94.3740i | 0.488519 | − | 0.555141i | ||||
\(171\) | 22.0680 | − | 30.6662i | 0.129053 | − | 0.179334i | ||||
\(172\) | 59.6958 | + | 19.3963i | 0.347069 | + | 0.112769i | ||||
\(173\) | 35.0251 | − | 25.4472i | 0.202457 | − | 0.147094i | −0.481937 | − | 0.876206i | \(-0.660067\pi\) |
0.684394 | + | 0.729112i | \(0.260067\pi\) | |||||||
\(174\) | −189.665 | − | 29.5983i | −1.09003 | − | 0.170105i | ||||
\(175\) | −58.2460 | + | 308.407i | −0.332834 | + | 1.76233i | ||||
\(176\) | 254.596i | 1.44657i | ||||||||
\(177\) | −127.404 | + | 65.2807i | −0.719796 | + | 0.368818i | ||||
\(178\) | 167.901 | + | 54.5542i | 0.943262 | + | 0.306485i | ||||
\(179\) | 86.3556 | + | 28.0587i | 0.482434 | + | 0.156752i | 0.540129 | − | 0.841582i | \(-0.318375\pi\) |
−0.0576956 | + | 0.998334i | \(0.518375\pi\) | |||||||
\(180\) | −14.5459 | − | 63.4445i | −0.0808104 | − | 0.352470i | ||||
\(181\) | −34.0023 | − | 104.648i | −0.187858 | − | 0.578168i | 0.812128 | − | 0.583480i | \(-0.198309\pi\) |
−0.999986 | + | 0.00531154i | \(0.998309\pi\) | |||||||
\(182\) | 145.679 | 0.800433 | ||||||||
\(183\) | 19.3372 | − | 3.10778i | 0.105668 | − | 0.0169824i | ||||
\(184\) | 105.033 | + | 76.3112i | 0.570834 | + | 0.414735i | ||||
\(185\) | 0.129620 | + | 0.114064i | 0.000700649 | + | 0.000616565i | ||||
\(186\) | 89.2688 | + | 174.220i | 0.479940 | + | 0.936666i | ||||
\(187\) | −81.8642 | + | 112.676i | −0.437777 | + | 0.602548i | ||||
\(188\) | 5.75611 | + | 4.18206i | 0.0306176 | + | 0.0222450i | ||||
\(189\) | −334.425 | + | 55.3079i | −1.76945 | + | 0.292634i | ||||
\(190\) | −32.3603 | + | 36.7735i | −0.170318 | + | 0.193545i | ||||
\(191\) | −57.8437 | + | 79.6151i | −0.302847 | + | 0.416833i | −0.933134 | − | 0.359529i | \(-0.882937\pi\) |
0.630287 | + | 0.776362i | \(0.282937\pi\) | |||||||
\(192\) | 80.4034 | − | 12.9221i | 0.418768 | − | 0.0673024i | ||||
\(193\) | − | 183.115i | − | 0.948784i | −0.880314 | − | 0.474392i | \(-0.842668\pi\) | ||
0.880314 | − | 0.474392i | \(-0.157332\pi\) | |||||||
\(194\) | −66.3512 | + | 21.5588i | −0.342017 | + | 0.111128i | ||||
\(195\) | −27.6766 | − | 69.2569i | −0.141931 | − | 0.355164i | ||||
\(196\) | −48.5475 | + | 149.414i | −0.247691 | + | 0.762316i | ||||
\(197\) | 104.482 | − | 321.562i | 0.530365 | − | 1.63229i | −0.223092 | − | 0.974797i | \(-0.571615\pi\) |
0.753457 | − | 0.657497i | \(-0.228385\pi\) | |||||||
\(198\) | 85.0820 | + | 257.861i | 0.429707 | + | 1.30233i | ||||
\(199\) | −12.6514 | −0.0635749 | −0.0317875 | − | 0.999495i | \(-0.510120\pi\) | ||||
−0.0317875 | + | 0.999495i | \(0.510120\pi\) | |||||||
\(200\) | −18.9436 | − | 147.775i | −0.0947182 | − | 0.738874i | ||||
\(201\) | 12.2717 | + | 1.91506i | 0.0610531 | + | 0.00952767i | ||||
\(202\) | −35.7878 | − | 49.2577i | −0.177167 | − | 0.243850i | ||||
\(203\) | 106.368 | − | 327.368i | 0.523981 | − | 1.61265i | ||||
\(204\) | −41.7022 | − | 21.1291i | −0.204422 | − | 0.103574i | ||||
\(205\) | 283.537 | + | 249.510i | 1.38311 | + | 1.21712i | ||||
\(206\) | −104.450 | + | 33.9378i | −0.507038 | + | 0.164747i | ||||
\(207\) | 186.748 | + | 59.7408i | 0.902163 | + | 0.288603i | ||||
\(208\) | −93.1270 | + | 30.2588i | −0.447726 | + | 0.145475i | ||||
\(209\) | 31.8990 | − | 43.9052i | 0.152627 | − | 0.210073i | ||||
\(210\) | 438.527 | − | 28.9943i | 2.08822 | − | 0.138068i | ||||
\(211\) | 293.037 | − | 212.904i | 1.38880 | − | 1.00902i | 0.392808 | − | 0.919621i | \(-0.371504\pi\) |
0.995995 | − | 0.0894038i | \(-0.0284962\pi\) | |||||||
\(212\) | −2.00190 | − | 1.45447i | −0.00944294 | − | 0.00686069i | ||||
\(213\) | 115.904 | + | 115.378i | 0.544149 | + | 0.541681i | ||||
\(214\) | −281.449 | + | 204.485i | −1.31518 | + | 0.955537i | ||||
\(215\) | 216.027 | + | 20.2207i | 1.00477 | + | 0.0940499i | ||||
\(216\) | 142.864 | − | 74.0242i | 0.661408 | − | 0.342705i | ||||
\(217\) | −333.844 | + | 108.473i | −1.53845 | + | 0.499874i | ||||
\(218\) | 347.524 | 1.59415 | ||||||||
\(219\) | −17.0623 | − | 106.165i | −0.0779099 | − | 0.484770i | ||||
\(220\) | −20.4796 | − | 91.2275i | −0.0930891 | − | 0.414671i | ||||
\(221\) | −50.9448 | − | 16.5530i | −0.230519 | − | 0.0749003i | ||||
\(222\) | 0.109272 | − | 0.215669i | 0.000492216 | − | 0.000971480i | ||||
\(223\) | −134.126 | − | 184.609i | −0.601462 | − | 0.827842i | 0.394379 | − | 0.918948i | \(-0.370960\pi\) |
−0.995841 | + | 0.0911062i | \(0.970960\pi\) | |||||||
\(224\) | − | 277.737i | − | 1.23990i | ||||||
\(225\) | −97.0971 | − | 202.971i | −0.431543 | − | 0.902093i | ||||
\(226\) | −136.460 | −0.603804 | ||||||||
\(227\) | −251.371 | + | 182.632i | −1.10736 | + | 0.804545i | −0.982246 | − | 0.187598i | \(-0.939930\pi\) |
−0.125115 | + | 0.992142i | \(0.539930\pi\) | |||||||
\(228\) | 16.2496 | + | 8.23309i | 0.0712700 | + | 0.0361101i | ||||
\(229\) | 37.5038 | − | 115.425i | 0.163772 | − | 0.504039i | −0.835172 | − | 0.549989i | \(-0.814632\pi\) |
0.998944 | + | 0.0459508i | \(0.0146317\pi\) | |||||||
\(230\) | −233.397 | − | 100.746i | −1.01477 | − | 0.438026i | ||||
\(231\) | −480.734 | + | 77.2613i | −2.08110 | + | 0.334464i | ||||
\(232\) | 163.393i | 0.704282i | ||||||||
\(233\) | 124.270 | + | 382.465i | 0.533350 | + | 1.64148i | 0.747188 | + | 0.664612i | \(0.231403\pi\) |
−0.213839 | + | 0.976869i | \(0.568597\pi\) | |||||||
\(234\) | −84.2093 | + | 61.7685i | −0.359869 | + | 0.263968i | ||||
\(235\) | 22.5805 | + | 9.74690i | 0.0960873 | + | 0.0414762i | ||||
\(236\) | −40.5704 | − | 55.8404i | −0.171909 | − | 0.236612i | ||||
\(237\) | −36.1341 | + | 36.2987i | −0.152464 | + | 0.153159i | ||||
\(238\) | 185.532 | − | 255.363i | 0.779548 | − | 1.07296i | ||||
\(239\) | −115.387 | − | 158.817i | −0.482792 | − | 0.664507i | 0.496246 | − | 0.868182i | \(-0.334711\pi\) |
−0.979038 | + | 0.203675i | \(0.934711\pi\) | |||||||
\(240\) | −274.311 | + | 109.621i | −1.14296 | + | 0.456754i | ||||
\(241\) | −291.933 | − | 212.102i | −1.21134 | − | 0.880091i | −0.215989 | − | 0.976396i | \(-0.569298\pi\) |
−0.995352 | + | 0.0963050i | \(0.969298\pi\) | |||||||
\(242\) | 33.2672 | + | 102.386i | 0.137468 | + | 0.423083i | ||||
\(243\) | 169.863 | − | 173.769i | 0.699025 | − | 0.715097i | ||||
\(244\) | 2.91808 | + | 8.98093i | 0.0119594 | + | 0.0368071i | ||||
\(245\) | −50.6109 | + | 540.697i | −0.206575 | + | 2.20693i | ||||
\(246\) | 239.027 | − | 471.764i | 0.971653 | − | 1.91774i | ||||
\(247\) | 19.8510 | + | 6.44998i | 0.0803684 | + | 0.0261133i | ||||
\(248\) | 134.803 | − | 97.9403i | 0.543562 | − | 0.394921i | ||||
\(249\) | 26.4839 | − | 169.708i | 0.106361 | − | 0.681559i | ||||
\(250\) | 99.5713 | + | 274.202i | 0.398285 | + | 1.09681i | ||||
\(251\) | 337.441i | 1.34439i | 0.740376 | + | 0.672193i | \(0.234647\pi\) | ||||
−0.740376 | + | 0.672193i | \(0.765353\pi\) | |||||||
\(252\) | −51.2101 | − | 155.204i | −0.203215 | − | 0.615889i | ||||
\(253\) | 267.857 | + | 87.0319i | 1.05872 | + | 0.344000i | ||||
\(254\) | −295.676 | − | 96.0708i | −1.16408 | − | 0.378231i | ||||
\(255\) | −156.650 | − | 39.6887i | −0.614314 | − | 0.155642i | ||||
\(256\) | 75.9506 | + | 233.752i | 0.296682 | + | 0.913094i | ||||
\(257\) | 190.928 | 0.742911 | 0.371455 | − | 0.928451i | \(-0.378859\pi\) | ||||
0.371455 | + | 0.928451i | \(0.378859\pi\) | |||||||
\(258\) | −48.2091 | − | 299.966i | −0.186857 | − | 1.16266i | ||||
\(259\) | 0.350735 | + | 0.254824i | 0.00135419 | + | 0.000983875i | ||||
\(260\) | 30.9355 | − | 18.3335i | 0.118983 | − | 0.0705135i | ||||
\(261\) | 77.3195 | + | 234.335i | 0.296243 | + | 0.897835i | ||||
\(262\) | 290.086 | − | 399.270i | 1.10720 | − | 1.52393i | ||||
\(263\) | −221.916 | − | 161.231i | −0.843787 | − | 0.613047i | 0.0796388 | − | 0.996824i | \(-0.474623\pi\) |
−0.923426 | + | 0.383776i | \(0.874623\pi\) | |||||||
\(264\) | 205.695 | − | 105.397i | 0.779148 | − | 0.399229i | ||||
\(265\) | −7.85322 | − | 3.38985i | −0.0296348 | − | 0.0127919i | ||||
\(266\) | −72.2940 | + | 99.5042i | −0.271782 | + | 0.374076i | ||||
\(267\) | −36.0105 | − | 224.064i | −0.134871 | − | 0.839192i | ||||
\(268\) | 5.98844i | 0.0223449i | ||||||||
\(269\) | −132.545 | + | 43.0665i | −0.492733 | + | 0.160099i | −0.544835 | − | 0.838543i | \(-0.683408\pi\) |
0.0521023 | + | 0.998642i | \(0.483408\pi\) | |||||||
\(270\) | −241.196 | + | 202.698i | −0.893318 | + | 0.750731i | ||||
\(271\) | −108.618 | + | 334.292i | −0.400805 | + | 1.23355i | 0.523543 | + | 0.851999i | \(0.324610\pi\) |
−0.924348 | + | 0.381551i | \(0.875390\pi\) | |||||||
\(272\) | −65.5626 | + | 201.781i | −0.241039 | + | 0.741842i | ||||
\(273\) | −85.3963 | − | 166.662i | −0.312807 | − | 0.610484i | ||||
\(274\) | −447.841 | −1.63446 | ||||||||
\(275\) | −138.146 | − | 292.184i | −0.502350 | − | 1.06249i | ||||
\(276\) | −14.5764 | + | 93.4054i | −0.0528131 | + | 0.338426i | ||||
\(277\) | 234.264 | + | 322.437i | 0.845719 | + | 1.16403i | 0.984790 | + | 0.173750i | \(0.0555884\pi\) |
−0.139071 | + | 0.990282i | \(0.544412\pi\) | |||||||
\(278\) | 73.6381 | − | 226.635i | 0.264885 | − | 0.815233i | ||||
\(279\) | 146.985 | − | 204.254i | 0.526829 | − | 0.732093i | ||||
\(280\) | −81.9377 | − | 364.996i | −0.292635 | − | 1.30356i | ||||
\(281\) | 167.897 | − | 54.5530i | 0.597498 | − | 0.194139i | 0.00537353 | − | 0.999986i | \(-0.498290\pi\) |
0.592124 | + | 0.805847i | \(0.298290\pi\) | |||||||
\(282\) | 5.31004 | − | 34.0266i | 0.0188299 | − | 0.120662i | ||||
\(283\) | −306.568 | + | 99.6099i | −1.08328 | + | 0.351979i | −0.795646 | − | 0.605762i | \(-0.792868\pi\) |
−0.287633 | + | 0.957741i | \(0.592868\pi\) | |||||||
\(284\) | −46.3480 | + | 63.7925i | −0.163197 | + | 0.224621i | ||||
\(285\) | 61.0398 | + | 15.4650i | 0.214175 | + | 0.0542632i | ||||
\(286\) | −121.363 | + | 88.1752i | −0.424345 | + | 0.308305i | ||||
\(287\) | 767.214 | + | 557.414i | 2.67322 | + | 1.94221i | ||||
\(288\) | 117.762 | + | 160.545i | 0.408895 | + | 0.557450i | ||||
\(289\) | 139.908 | − | 101.649i | 0.484111 | − | 0.351727i | ||||
\(290\) | −70.0779 | − | 312.166i | −0.241648 | − | 1.07643i | ||||
\(291\) | 63.5589 | + | 63.2706i | 0.218416 | + | 0.217425i | ||||
\(292\) | 49.3070 | − | 16.0208i | 0.168860 | − | 0.0548658i | ||||
\(293\) | −330.675 | −1.12858 | −0.564292 | − | 0.825575i | \(-0.690851\pi\) | ||||
−0.564292 | + | 0.825575i | \(0.690851\pi\) | |||||||
\(294\) | 750.792 | − | 120.664i | 2.55371 | − | 0.410421i | ||||
\(295\) | −179.115 | − | 157.619i | −0.607169 | − | 0.534303i | ||||
\(296\) | −0.195719 | − | 0.0635929i | −0.000661212 | − | 0.000214841i | ||||
\(297\) | 245.128 | − | 248.494i | 0.825348 | − | 0.836681i | ||||
\(298\) | 157.155 | + | 216.305i | 0.527365 | + | 0.725855i | ||||
\(299\) | 108.321i | 0.362279i | ||||||||
\(300\) | 89.4742 | − | 61.3452i | 0.298247 | − | 0.204484i | ||||
\(301\) | 544.787 | 1.80992 | ||||||||
\(302\) | −309.626 | + | 224.956i | −1.02525 | + | 0.744888i | ||||
\(303\) | −35.3740 | + | 69.8173i | −0.116746 | + | 0.230420i | ||||
\(304\) | 25.5470 | − | 78.6254i | 0.0840360 | − | 0.258636i | ||||
\(305\) | 16.6420 | + | 28.0812i | 0.0545638 | + | 0.0920697i | ||||
\(306\) | 1.02863 | + | 226.279i | 0.00336154 | + | 0.739474i | ||||
\(307\) | 169.985i | 0.553697i | 0.960914 | + | 0.276849i | \(0.0892901\pi\) | ||||
−0.960914 | + | 0.276849i | \(0.910710\pi\) | |||||||
\(308\) | −72.5454 | − | 223.272i | −0.235537 | − | 0.724908i | ||||
\(309\) | 100.054 | + | 99.6005i | 0.323800 | + | 0.322332i | ||||
\(310\) | −215.538 | + | 244.932i | −0.695284 | + | 0.790104i | ||||
\(311\) | −269.449 | − | 370.864i | −0.866394 | − | 1.19249i | −0.980007 | − | 0.198964i | \(-0.936242\pi\) |
0.113613 | − | 0.993525i | \(-0.463758\pi\) | |||||||
\(312\) | 62.9992 | + | 62.7135i | 0.201921 | + | 0.201005i | ||||
\(313\) | −187.842 | + | 258.542i | −0.600133 | + | 0.826012i | −0.995720 | − | 0.0924161i | \(-0.970541\pi\) |
0.395587 | + | 0.918428i | \(0.370541\pi\) | |||||||
\(314\) | −100.434 | − | 138.235i | −0.319852 | − | 0.440239i | ||||
\(315\) | −290.233 | − | 484.695i | −0.921375 | − | 1.53871i | ||||
\(316\) | −19.9785 | − | 14.5153i | −0.0632232 | − | 0.0459343i | ||||
\(317\) | −75.8505 | − | 233.444i | −0.239276 | − | 0.736415i | −0.996525 | − | 0.0832897i | \(-0.973457\pi\) |
0.757249 | − | 0.653126i | \(-0.226543\pi\) | |||||||
\(318\) | −1.84676 | + | 11.8340i | −0.00580743 | + | 0.0372139i | ||||
\(319\) | 109.533 | + | 337.107i | 0.343362 | + | 1.05676i | ||||
\(320\) | 69.1969 | + | 116.761i | 0.216240 | + | 0.364878i | ||||
\(321\) | 398.923 | + | 202.121i | 1.24275 | + | 0.629659i | ||||
\(322\) | −607.055 | − | 197.244i | −1.88526 | − | 0.612560i | ||||
\(323\) | 36.5880 | − | 26.5827i | 0.113276 | − | 0.0822995i | ||||
\(324\) | 95.4092 | + | 68.0022i | 0.294473 | + | 0.209883i | ||||
\(325\) | 90.4574 | − | 85.2578i | 0.278330 | − | 0.262332i | ||||
\(326\) | − | 45.5060i | − | 0.139589i | ||||||
\(327\) | −203.717 | − | 397.581i | −0.622988 | − | 1.21584i | ||||
\(328\) | −428.125 | − | 139.106i | −1.30526 | − | 0.424104i | ||||
\(329\) | 58.7309 | + | 19.0828i | 0.178513 | + | 0.0580025i | ||||
\(330\) | −347.780 | + | 289.582i | −1.05388 | + | 0.877522i | ||||
\(331\) | −46.4064 | − | 142.824i | −0.140200 | − | 0.431493i | 0.856162 | − | 0.516707i | \(-0.172842\pi\) |
−0.996363 | + | 0.0852145i | \(0.972842\pi\) | |||||||
\(332\) | 82.8156 | 0.249445 | ||||||||
\(333\) | −0.310788 | + | 0.00141280i | −0.000933297 | + | 4.24264e-6i | ||||
\(334\) | 171.907 | + | 124.898i | 0.514691 | + | 0.373945i | ||||
\(335\) | 4.53416 | + | 20.1977i | 0.0135348 | + | 0.0602915i | ||||
\(336\) | −660.112 | + | 338.236i | −1.96462 | + | 1.00665i | ||||
\(337\) | 371.305 | − | 511.058i | 1.10180 | − | 1.51649i | 0.268816 | − | 0.963192i | \(-0.413368\pi\) |
0.832981 | − | 0.553301i | \(-0.186632\pi\) | |||||||
\(338\) | 272.404 | + | 197.913i | 0.805930 | + | 0.585542i | ||||
\(339\) | 79.9922 | + | 156.115i | 0.235965 | + | 0.460517i | ||||
\(340\) | 7.26140 | − | 77.5766i | 0.0213571 | − | 0.228167i | ||||
\(341\) | 212.465 | − | 292.433i | 0.623065 | − | 0.857575i | ||||
\(342\) | −0.400814 | − | 88.1712i | −0.00117197 | − | 0.257811i | ||||
\(343\) | 748.394i | 2.18191i | ||||||||
\(344\) | −245.945 | + | 79.9123i | −0.714956 | + | 0.232303i | ||||
\(345\) | 21.5591 | + | 326.072i | 0.0624902 | + | 0.945137i | ||||
\(346\) | 31.2221 | − | 96.0916i | 0.0902371 | − | 0.277721i | ||||
\(347\) | −177.557 | + | 546.463i | −0.511690 | + | 1.57482i | 0.277534 | + | 0.960716i | \(0.410483\pi\) |
−0.789224 | + | 0.614105i | \(0.789517\pi\) | |||||||
\(348\) | −105.886 | + | 54.2551i | −0.304270 | + | 0.155905i | ||||
\(349\) | 461.206 | 1.32151 | 0.660754 | − | 0.750603i | \(-0.270237\pi\) | ||||
0.660754 | + | 0.750603i | \(0.270237\pi\) | |||||||
\(350\) | 313.087 | + | 662.189i | 0.894534 | + | 1.89197i | ||||
\(351\) | 120.029 | + | 60.1303i | 0.341962 | + | 0.171311i | ||||
\(352\) | 168.106 | + | 231.379i | 0.477575 | + | 0.657326i | ||||
\(353\) | 54.2919 | − | 167.093i | 0.153801 | − | 0.473352i | −0.844236 | − | 0.535971i | \(-0.819945\pi\) |
0.998037 | + | 0.0626196i | \(0.0199455\pi\) | |||||||
\(354\) | −150.997 | + | 298.020i | −0.426544 | + | 0.841865i | ||||
\(355\) | −108.021 | + | 250.250i | −0.304284 | + | 0.704930i | ||||
\(356\) | 104.064 | − | 33.8125i | 0.292315 | − | 0.0949790i | ||||
\(357\) | −400.904 | − | 62.5632i | −1.12298 | − | 0.175247i | ||||
\(358\) | 201.534 | − | 65.4823i | 0.562944 | − | 0.182911i | ||||
\(359\) | 271.386 | − | 373.531i | 0.755950 | − | 1.04048i | −0.241590 | − | 0.970379i | \(-0.577669\pi\) |
0.997540 | − | 0.0700981i | \(-0.0223312\pi\) | |||||||
\(360\) | 202.124 | + | 176.243i | 0.561456 | + | 0.489565i | ||||
\(361\) | 277.798 | − | 201.832i | 0.769525 | − | 0.559092i | ||||
\(362\) | −207.750 | − | 150.939i | −0.573895 | − | 0.416959i | ||||
\(363\) | 97.6324 | − | 98.0773i | 0.268960 | − | 0.270185i | ||||
\(364\) | 73.0471 | − | 53.0718i | 0.200679 | − | 0.145802i | ||||
\(365\) | 154.171 | − | 91.3675i | 0.422387 | − | 0.250322i | ||||
\(366\) | 32.2465 | − | 32.3935i | 0.0881053 | − | 0.0885067i | ||||
\(367\) | 375.313 | − | 121.946i | 1.02265 | − | 0.332279i | 0.250770 | − | 0.968047i | \(-0.419316\pi\) |
0.771881 | + | 0.635768i | \(0.219316\pi\) | |||||||
\(368\) | 429.037 | 1.16586 | ||||||||
\(369\) | −679.833 | + | 3.09042i | −1.84236 | + | 0.00837513i | ||||
\(370\) | 0.401198 | + | 0.0375533i | 0.00108432 | + | 0.000101496i | ||||
\(371\) | −20.4259 | − | 6.63677i | −0.0550562 | − | 0.0178889i | ||||
\(372\) | 108.231 | + | 54.8370i | 0.290944 | + | 0.147411i | ||||
\(373\) | −203.237 | − | 279.732i | −0.544871 | − | 0.749951i | 0.444434 | − | 0.895812i | \(-0.353405\pi\) |
−0.989305 | + | 0.145861i | \(0.953405\pi\) | |||||||
\(374\) | 325.037i | 0.869082i | ||||||||
\(375\) | 255.329 | − | 274.649i | 0.680877 | − | 0.732398i | ||||
\(376\) | −29.3133 | −0.0779610 | ||||||||
\(377\) | −110.290 | + | 80.1304i | −0.292547 | + | 0.212548i | ||||
\(378\) | −555.545 | + | 563.173i | −1.46970 | + | 1.48988i | ||||
\(379\) | −115.909 | + | 356.732i | −0.305829 | + | 0.941245i | 0.673537 | + | 0.739153i | \(0.264774\pi\) |
−0.979367 | + | 0.202092i | \(0.935226\pi\) | |||||||
\(380\) | −2.82946 | + | 30.2283i | −0.00744594 | + | 0.0795481i | ||||
\(381\) | 63.4151 | + | 394.580i | 0.166444 | + | 1.03564i | ||||
\(382\) | 229.665i | 0.601217i | ||||||||
\(383\) | 39.2793 | + | 120.889i | 0.102557 | + | 0.315638i | 0.989149 | − | 0.146914i | \(-0.0469340\pi\) |
−0.886592 | + | 0.462552i | \(0.846934\pi\) | |||||||
\(384\) | 321.371 | − | 322.835i | 0.836903 | − | 0.840716i | ||||
\(385\) | −413.730 | − | 698.118i | −1.07462 | − | 1.81329i | ||||
\(386\) | −251.189 | − | 345.732i | −0.650748 | − | 0.895678i | ||||
\(387\) | −314.913 | + | 230.992i | −0.813728 | + | 0.596879i | ||||
\(388\) | −25.4162 | + | 34.9824i | −0.0655056 | + | 0.0901607i | ||||
\(389\) | 157.269 | + | 216.462i | 0.404291 | + | 0.556458i | 0.961814 | − | 0.273703i | \(-0.0882484\pi\) |
−0.557524 | + | 0.830161i | \(0.688248\pi\) | |||||||
\(390\) | −147.258 | − | 92.7954i | −0.377585 | − | 0.237937i | ||||
\(391\) | 189.879 | + | 137.955i | 0.485624 | + | 0.352826i | ||||
\(392\) | −200.014 | − | 615.581i | −0.510240 | − | 1.57036i | ||||
\(393\) | −626.827 | − | 97.8197i | −1.59498 | − | 0.248905i | ||||
\(394\) | −243.836 | − | 750.450i | −0.618873 | − | 1.90470i | ||||
\(395\) | −78.3734 | − | 33.8299i | −0.198414 | − | 0.0856454i | ||||
\(396\) | 136.603 | + | 98.3022i | 0.344957 | + | 0.248238i | ||||
\(397\) | −68.6142 | − | 22.2941i | −0.172832 | − | 0.0561564i | 0.221323 | − | 0.975201i | \(-0.428963\pi\) |
−0.394155 | + | 0.919044i | \(0.628963\pi\) | |||||||
\(398\) | −23.8866 | + | 17.3546i | −0.0600165 | + | 0.0436045i | ||||
\(399\) | 156.215 | + | 24.3782i | 0.391517 | + | 0.0610983i | ||||
\(400\) | −337.687 | − | 358.282i | −0.844218 | − | 0.895704i | ||||
\(401\) | − | 255.533i | − | 0.637239i | −0.947883 | − | 0.318620i | \(-0.896781\pi\) | ||
0.947883 | − | 0.318620i | \(-0.103219\pi\) | |||||||
\(402\) | 25.7966 | − | 13.2180i | 0.0641706 | − | 0.0328805i | ||||
\(403\) | 132.219 | + | 42.9605i | 0.328086 | + | 0.106602i | ||||
\(404\) | −35.8898 | − | 11.6613i | −0.0888362 | − | 0.0288646i | ||||
\(405\) | 373.282 | + | 157.117i | 0.921683 | + | 0.387943i | ||||
\(406\) | −248.238 | − | 763.999i | −0.611425 | − | 1.88177i | ||||
\(407\) | −0.446429 | −0.00109688 | ||||||||
\(408\) | 190.166 | − | 30.5626i | 0.466093 | − | 0.0749082i | ||||
\(409\) | −577.930 | − | 419.891i | −1.41303 | − | 1.02663i | −0.992873 | − | 0.119178i | \(-0.961974\pi\) |
−0.420160 | − | 0.907450i | \(-0.638026\pi\) | |||||||
\(410\) | 877.600 | + | 82.1460i | 2.14049 | + | 0.200356i | ||||
\(411\) | 262.522 | + | 512.347i | 0.638741 | + | 1.24659i | ||||
\(412\) | −40.0101 | + | 55.0691i | −0.0971118 | + | 0.133663i | ||||
\(413\) | −484.660 | − | 352.126i | −1.17351 | − | 0.852606i | ||||
\(414\) | 434.540 | − | 143.378i | 1.04961 | − | 0.346323i | ||||
\(415\) | 279.319 | − | 62.7040i | 0.673057 | − | 0.151094i | ||||
\(416\) | −64.6550 | + | 88.9900i | −0.155421 | + | 0.213918i | ||||
\(417\) | −302.445 | + | 48.6076i | −0.725288 | + | 0.116565i | ||||
\(418\) | − | 126.653i | − | 0.302997i | ||||||
\(419\) | 4.75627 | − | 1.54540i | 0.0113515 | − | 0.00368832i | −0.303336 | − | 0.952884i | \(-0.598100\pi\) |
0.314687 | + | 0.949195i | \(0.398100\pi\) | |||||||
\(420\) | 209.326 | − | 174.297i | 0.498395 | − | 0.414993i | ||||
\(421\) | −34.6754 | + | 106.720i | −0.0823643 | + | 0.253491i | −0.983755 | − | 0.179515i | \(-0.942547\pi\) |
0.901391 | + | 0.433006i | \(0.142547\pi\) | |||||||
\(422\) | 261.219 | − | 803.950i | 0.619003 | − | 1.90509i | ||||
\(423\) | −42.0405 | + | 13.8714i | −0.0993865 | + | 0.0327929i | ||||
\(424\) | 10.1948 | 0.0240444 | ||||||||
\(425\) | −34.2462 | − | 267.147i | −0.0805793 | − | 0.628580i | ||||
\(426\) | 377.103 | + | 58.8489i | 0.885217 | + | 0.138143i | ||||
\(427\) | 48.1751 | + | 66.3073i | 0.112822 | + | 0.155287i | ||||
\(428\) | −66.6306 | + | 205.068i | −0.155679 | + | 0.479131i | ||||
\(429\) | 172.018 | + | 87.1557i | 0.400975 | + | 0.203160i | ||||
\(430\) | 435.608 | − | 258.157i | 1.01304 | − | 0.600366i | ||||
\(431\) | −418.838 | + | 136.089i | −0.971783 | + | 0.315751i | −0.751535 | − | 0.659693i | \(-0.770686\pi\) |
−0.220247 | + | 0.975444i | \(0.570686\pi\) | |||||||
\(432\) | 238.163 | − | 475.407i | 0.551303 | − | 1.10048i | ||||
\(433\) | 701.374 | − | 227.890i | 1.61980 | − | 0.526305i | 0.647906 | − | 0.761720i | \(-0.275645\pi\) |
0.971895 | + | 0.235415i | \(0.0756449\pi\) | |||||||
\(434\) | −481.519 | + | 662.754i | −1.10949 | + | 1.52708i | ||||
\(435\) | −316.050 | + | 263.162i | −0.726553 | + | 0.604970i | ||||
\(436\) | 174.257 | − | 126.605i | 0.399673 | − | 0.290380i | ||||
\(437\) | −73.9877 | − | 53.7552i | −0.169308 | − | 0.123010i | ||||
\(438\) | −177.846 | − | 177.039i | −0.406041 | − | 0.404200i | ||||
\(439\) | −150.664 | + | 109.464i | −0.343199 | + | 0.249349i | −0.746010 | − | 0.665934i | \(-0.768033\pi\) |
0.402811 | + | 0.915283i | \(0.368033\pi\) | |||||||
\(440\) | 289.183 | + | 254.478i | 0.657234 | + | 0.578360i | ||||
\(441\) | −578.155 | − | 788.202i | −1.31101 | − | 1.78731i | ||||
\(442\) | −118.893 | + | 38.6307i | −0.268989 | + | 0.0873998i | ||||
\(443\) | 474.687 | 1.07153 | 0.535764 | − | 0.844368i | \(-0.320024\pi\) | ||||
0.535764 | + | 0.844368i | \(0.320024\pi\) | |||||||
\(444\) | −0.0237779 | − | 0.147950i | −5.35537e−5 | − | 0.000333221i | ||||
\(445\) | 325.384 | − | 192.834i | 0.731200 | − | 0.433336i | ||||
\(446\) | −506.475 | − | 164.564i | −1.13559 | − | 0.368977i | ||||
\(447\) | 155.338 | − | 306.588i | 0.347511 | − | 0.685879i | ||||
\(448\) | 200.311 | + | 275.704i | 0.447122 | + | 0.615411i | ||||
\(449\) | 211.075i | 0.470100i | 0.971983 | + | 0.235050i | \(0.0755254\pi\) | ||||
−0.971983 | + | 0.235050i | \(0.924475\pi\) | |||||||
\(450\) | −461.750 | − | 250.027i | −1.02611 | − | 0.555615i | ||||
\(451\) | −976.541 | −2.16528 | ||||||||
\(452\) | −68.4244 | + | 49.7133i | −0.151381 | + | 0.109985i | ||||
\(453\) | 438.860 | + | 222.355i | 0.968786 | + | 0.490850i | ||||
\(454\) | −224.077 | + | 689.637i | −0.493561 | + | 1.51902i | ||||
\(455\) | 206.188 | − | 234.307i | 0.453160 | − | 0.514961i | ||||
\(456\) | −74.0995 | + | 11.9089i | −0.162499 | + | 0.0261161i | ||||
\(457\) | − | 353.601i | − | 0.773743i | −0.922134 | − | 0.386872i | \(-0.873556\pi\) | ||
0.922134 | − | 0.386872i | \(-0.126444\pi\) | |||||||
\(458\) | −87.5251 | − | 269.374i | −0.191103 | − | 0.588154i | ||||
\(459\) | 258.269 | − | 133.821i | 0.562677 | − | 0.291548i | ||||
\(460\) | −153.734 | + | 34.5116i | −0.334204 | + | 0.0750252i | ||||
\(461\) | 175.509 | + | 241.567i | 0.380713 | + | 0.524007i | 0.955773 | − | 0.294104i | \(-0.0950214\pi\) |
−0.575060 | + | 0.818111i | \(0.695021\pi\) | |||||||
\(462\) | −801.669 | + | 805.322i | −1.73521 | + | 1.74312i | ||||
\(463\) | 305.117 | − | 419.957i | 0.659000 | − | 0.907035i | −0.340448 | − | 0.940263i | \(-0.610579\pi\) |
0.999448 | + | 0.0332279i | \(0.0105787\pi\) | |||||||
\(464\) | 317.379 | + | 436.835i | 0.684007 | + | 0.941454i | ||||
\(465\) | 406.560 | + | 103.006i | 0.874322 | + | 0.221517i | ||||
\(466\) | 759.277 | + | 551.647i | 1.62935 | + | 1.18379i | ||||
\(467\) | 131.808 | + | 405.664i | 0.282244 | + | 0.868659i | 0.987211 | + | 0.159419i | \(0.0509619\pi\) |
−0.704967 | + | 0.709240i | \(0.749038\pi\) | |||||||
\(468\) | −19.7220 | + | 61.6503i | −0.0421411 | + | 0.131732i | ||||
\(469\) | 16.0615 | + | 49.4321i | 0.0342462 | + | 0.105399i | ||||
\(470\) | 56.0036 | − | 12.5722i | 0.119157 | − | 0.0267494i | ||||
\(471\) | −99.2724 | + | 195.933i | −0.210769 | + | 0.415993i | ||||
\(472\) | 270.453 | + | 87.8754i | 0.572993 | + | 0.186177i | ||||
\(473\) | −453.853 | + | 329.744i | −0.959521 | + | 0.697133i | ||||
\(474\) | −18.4303 | + | 118.101i | −0.0388824 | + | 0.249158i | ||||
\(475\) | 13.3443 | + | 104.096i | 0.0280932 | + | 0.219149i | ||||
\(476\) | − | 195.637i | − | 0.411001i | ||||||
\(477\) | 14.6212 | − | 4.82429i | 0.0306523 | − | 0.0101138i | ||||
\(478\) | −435.715 | − | 141.573i | −0.911539 | − | 0.296177i | ||||
\(479\) | −280.502 | − | 91.1407i | −0.585600 | − | 0.190273i | 0.00120777 | − | 0.999999i | \(-0.499616\pi\) |
−0.586808 | + | 0.809726i | \(0.699616\pi\) | |||||||
\(480\) | −176.915 | + | 280.749i | −0.368573 | + | 0.584893i | ||||
\(481\) | −0.0530582 | − | 0.163296i | −0.000110308 | − | 0.000339493i | ||||
\(482\) | −842.137 | −1.74717 | ||||||||
\(483\) | 130.198 | + | 810.118i | 0.269562 | + | 1.67726i | ||||
\(484\) | 53.9810 | + | 39.2195i | 0.111531 | + | 0.0810320i | ||||
\(485\) | −59.2361 | + | 137.232i | −0.122136 | + | 0.282952i | ||||
\(486\) | 82.3436 | − | 561.095i | 0.169431 | − | 1.15452i | ||||
\(487\) | −389.881 | + | 536.625i | −0.800576 | + | 1.10190i | 0.192133 | + | 0.981369i | \(0.438459\pi\) |
−0.992710 | + | 0.120530i | \(0.961541\pi\) | |||||||
\(488\) | −31.4751 | − | 22.8680i | −0.0644981 | − | 0.0468606i | ||||
\(489\) | −52.0606 | + | 26.6754i | −0.106463 | + | 0.0545509i | ||||
\(490\) | 646.147 | + | 1090.29i | 1.31867 | + | 2.22509i | ||||
\(491\) | 315.408 | − | 434.122i | 0.642379 | − | 0.884158i | −0.356361 | − | 0.934348i | \(-0.615983\pi\) |
0.998740 | + | 0.0501900i | \(0.0159827\pi\) | |||||||
\(492\) | −52.0129 | − | 323.634i | −0.105717 | − | 0.657792i | ||||
\(493\) | 295.382i | 0.599152i | ||||||||
\(494\) | 46.3276 | − | 15.0527i | 0.0937805 | − | 0.0304711i | ||||
\(495\) | 535.161 | + | 228.122i | 1.08113 | + | 0.460853i | ||||
\(496\) | 170.157 | − | 523.690i | 0.343059 | − | 1.05583i | ||||
\(497\) | −211.487 | + | 650.889i | −0.425527 | + | 1.30964i | ||||
\(498\) | −182.795 | − | 356.748i | −0.367057 | − | 0.716361i | ||||
\(499\) | −791.222 | −1.58562 | −0.792808 | − | 0.609472i | \(-0.791382\pi\) | ||||
−0.792808 | + | 0.609472i | \(0.791382\pi\) | |||||||
\(500\) | 149.821 | + | 101.217i | 0.299642 | + | 0.202434i | ||||
\(501\) | 42.1166 | − | 269.882i | 0.0840651 | − | 0.538688i | ||||
\(502\) | 462.885 | + | 637.107i | 0.922082 | + | 1.26914i | ||||
\(503\) | −135.778 | + | 417.883i | −0.269937 | + | 0.830781i | 0.720578 | + | 0.693374i | \(0.243877\pi\) |
−0.990515 | + | 0.137407i | \(0.956123\pi\) | |||||||
\(504\) | 546.541 | + | 393.302i | 1.08441 | + | 0.780360i | ||||
\(505\) | −129.878 | − | 12.1570i | −0.257184 | − | 0.0240732i | ||||
\(506\) | 625.115 | − | 203.112i | 1.23540 | − | 0.401407i | ||||
\(507\) | 66.7382 | − | 427.657i | 0.131633 | − | 0.843505i | ||||
\(508\) | −183.259 | + | 59.5443i | −0.360745 | + | 0.117213i | ||||
\(509\) | −311.605 | + | 428.888i | −0.612191 | + | 0.842609i | −0.996755 | − | 0.0804893i | \(-0.974352\pi\) |
0.384564 | + | 0.923098i | \(0.374352\pi\) | |||||||
\(510\) | −350.207 | + | 139.951i | −0.686681 | + | 0.274413i | ||||
\(511\) | 364.040 | − | 264.490i | 0.712406 | − | 0.517593i | ||||
\(512\) | −27.3195 | − | 19.8488i | −0.0533584 | − | 0.0387671i | ||||
\(513\) | −100.636 | + | 52.1442i | −0.196172 | + | 0.101646i | ||||
\(514\) | 360.483 | − | 261.906i | 0.701328 | − | 0.509545i | ||||
\(515\) | −93.2493 | + | 216.030i | −0.181067 | + | 0.419475i | ||||
\(516\) | −133.453 | − | 132.848i | −0.258630 | − | 0.257457i | ||||
\(517\) | −60.4781 | + | 19.6505i | −0.116979 | + | 0.0380088i | ||||
\(518\) | 1.01176 | 0.00195321 | ||||||||
\(519\) | −128.235 | + | 20.6093i | −0.247080 | + | 0.0397096i | ||||
\(520\) | −58.7145 | + | 136.023i | −0.112912 | + | 0.261583i | ||||
\(521\) | 363.355 | + | 118.061i | 0.697419 | + | 0.226605i | 0.636206 | − | 0.771519i | \(-0.280503\pi\) |
0.0612134 | + | 0.998125i | \(0.480503\pi\) | |||||||
\(522\) | 467.433 | + | 336.374i | 0.895466 | + | 0.644395i | ||||
\(523\) | 66.4150 | + | 91.4124i | 0.126988 | + | 0.174785i | 0.867777 | − | 0.496953i | \(-0.165548\pi\) |
−0.740789 | + | 0.671738i | \(0.765548\pi\) | |||||||
\(524\) | − | 305.885i | − | 0.583749i | ||||||
\(525\) | 574.040 | − | 746.356i | 1.09341 | − | 1.42163i | ||||
\(526\) | −640.159 | −1.21703 | ||||||||
\(527\) | 243.697 | − | 177.056i | 0.462422 | − | 0.335970i | ||||
\(528\) | 345.205 | − | 681.326i | 0.653797 | − | 1.29039i | ||||
\(529\) | −16.8065 | + | 51.7251i | −0.0317703 | + | 0.0977790i | ||||
\(530\) | −19.4774 | + | 4.37246i | −0.0367497 | + | 0.00824992i | ||||
\(531\) | 429.460 | − | 1.95227i | 0.808777 | − | 0.00367658i | ||||
\(532\) | 76.2312i | 0.143292i | ||||||||
\(533\) | −116.062 | − | 357.202i | −0.217753 | − | 0.670174i | ||||
\(534\) | −375.351 | − | 373.648i | −0.702904 | − | 0.699716i | ||||
\(535\) | −69.4626 | + | 742.098i | −0.129837 | + | 1.38710i | ||||
\(536\) | −14.5019 | − | 19.9602i | −0.0270559 | − | 0.0372392i | ||||
\(537\) | −193.053 | − | 192.177i | −0.359502 | − | 0.357871i | ||||
\(538\) | −191.176 | + | 263.131i | −0.355346 | + | 0.489091i | ||||
\(539\) | −825.322 | − | 1135.96i | −1.53121 | − | 2.10753i | ||||
\(540\) | −47.0976 | + | 189.507i | −0.0872179 | + | 0.350939i | ||||
\(541\) | −53.3470 | − | 38.7589i | −0.0986082 | − | 0.0716431i | 0.537389 | − | 0.843335i | \(-0.319411\pi\) |
−0.635997 | + | 0.771692i | \(0.719411\pi\) | |||||||
\(542\) | 253.489 | + | 780.160i | 0.467692 | + | 1.43941i | ||||
\(543\) | −50.8981 | + | 326.154i | −0.0937350 | + | 0.600652i | ||||
\(544\) | 73.6496 | + | 226.670i | 0.135385 | + | 0.416673i | ||||
\(545\) | 491.872 | − | 558.951i | 0.902517 | − | 1.02560i | ||||
\(546\) | −389.852 | − | 197.525i | −0.714015 | − | 0.361767i | ||||
\(547\) | −807.148 | − | 262.258i | −1.47559 | − | 0.479448i | −0.542798 | − | 0.839863i | \(-0.682635\pi\) |
−0.932792 | + | 0.360415i | \(0.882635\pi\) | |||||||
\(548\) | −224.559 | + | 163.152i | −0.409779 | + | 0.297722i | ||||
\(549\) | −55.9622 | − | 17.9024i | −0.101935 | − | 0.0326090i | ||||
\(550\) | −661.632 | − | 362.157i | −1.20297 | − | 0.658467i | ||||
\(551\) | − | 115.098i | − | 0.208889i | ||||||
\(552\) | −177.611 | − | 346.631i | −0.321759 | − | 0.627955i | ||||
\(553\) | −203.845 | − | 66.2334i | −0.368617 | − | 0.119771i | ||||
\(554\) | 884.607 | + | 287.426i | 1.59676 | + | 0.518820i | ||||
\(555\) | −0.192218 | − | 0.481000i | −0.000346339 | − | 0.000866666i | ||||
\(556\) | −45.6406 | − | 140.467i | −0.0820874 | − | 0.252639i | ||||
\(557\) | 309.269 | 0.555241 | 0.277621 | − | 0.960691i | \(-0.410454\pi\) | ||||
0.277621 | + | 0.960691i | \(0.410454\pi\) | |||||||
\(558\) | −2.66965 | − | 587.270i | −0.00478431 | − | 1.05246i | ||||
\(559\) | −174.555 | − | 126.822i | −0.312264 | − | 0.226873i | ||||
\(560\) | −928.039 | − | 816.665i | −1.65721 | − | 1.45833i | ||||
\(561\) | 371.855 | − | 190.535i | 0.662843 | − | 0.339635i | ||||
\(562\) | 242.165 | − | 333.312i | 0.430899 | − | 0.593082i | ||||
\(563\) | 426.536 | + | 309.897i | 0.757614 | + | 0.550438i | 0.898177 | − | 0.439633i | \(-0.144892\pi\) |
−0.140564 | + | 0.990072i | \(0.544892\pi\) | |||||||
\(564\) | −9.73355 | − | 18.9963i | −0.0172581 | − | 0.0336814i | ||||
\(565\) | −193.140 | + | 219.479i | −0.341840 | + | 0.388459i | ||||
\(566\) | −442.177 | + | 608.604i | −0.781231 | + | 1.07527i | ||||
\(567\) | 969.950 | + | 305.435i | 1.71067 | + | 0.538686i | ||||
\(568\) | − | 324.867i | − | 0.571949i | ||||||
\(569\) | 619.336 | − | 201.235i | 1.08846 | − | 0.353663i | 0.290811 | − | 0.956780i | \(-0.406075\pi\) |
0.797653 | + | 0.603117i | \(0.206075\pi\) | |||||||
\(570\) | 136.461 | − | 54.5328i | 0.239405 | − | 0.0956715i | ||||
\(571\) | −179.914 | + | 553.718i | −0.315086 | + | 0.969734i | 0.660634 | + | 0.750708i | \(0.270288\pi\) |
−0.975719 | + | 0.219025i | \(0.929712\pi\) | |||||||
\(572\) | −28.7315 | + | 88.4266i | −0.0502300 | + | 0.154592i | ||||
\(573\) | 262.746 | − | 134.629i | 0.458544 | − | 0.234954i | ||||
\(574\) | 2213.18 | 3.85571 | ||||||||
\(575\) | −492.379 | + | 232.800i | −0.856312 | + | 0.404869i | ||||
\(576\) | −232.689 | − | 74.4376i | −0.403974 | − | 0.129232i | ||||
\(577\) | 135.871 | + | 187.010i | 0.235478 | + | 0.324107i | 0.910359 | − | 0.413819i | \(-0.135805\pi\) |
−0.674881 | + | 0.737926i | \(0.735805\pi\) | |||||||
\(578\) | 124.717 | − | 383.838i | 0.215773 | − | 0.664080i | ||||
\(579\) | −248.285 | + | 490.036i | −0.428816 | + | 0.846349i | ||||
\(580\) | −148.863 | − | 130.998i | −0.256660 | − | 0.225859i | ||||
\(581\) | 683.609 | − | 222.118i | 1.17661 | − | 0.382303i | ||||
\(582\) | 206.794 | + | 32.2714i | 0.355317 | + | 0.0554491i | ||||
\(583\) | 21.0335 | − | 6.83420i | 0.0360781 | − | 0.0117225i | ||||
\(584\) | −125.549 | + | 172.804i | −0.214982 | + | 0.295897i | ||||
\(585\) | −19.8393 | + | 222.865i | −0.0339134 | + | 0.380967i | ||||
\(586\) | −624.333 | + | 453.604i | −1.06541 | + | 0.774069i | ||||
\(587\) | −443.896 | − | 322.509i | −0.756212 | − | 0.549420i | 0.141534 | − | 0.989933i | \(-0.454796\pi\) |
−0.897746 | + | 0.440513i | \(0.854796\pi\) | |||||||
\(588\) | 332.508 | − | 334.023i | 0.565489 | − | 0.568066i | ||||
\(589\) | −94.9581 | + | 68.9911i | −0.161219 | + | 0.117133i | ||||
\(590\) | −554.393 | − | 51.8929i | −0.939650 | − | 0.0879540i | ||||
\(591\) | −715.608 | + | 718.869i | −1.21084 | + | 1.21636i | ||||
\(592\) | −0.646781 | + | 0.210152i | −0.00109254 | + | 0.000354986i | ||||
\(593\) | −1005.47 | −1.69557 | −0.847783 | − | 0.530343i | \(-0.822063\pi\) | ||||
−0.847783 | + | 0.530343i | \(0.822063\pi\) | |||||||
\(594\) | 121.943 | − | 805.426i | 0.205292 | − | 1.35594i | ||||
\(595\) | −148.127 | − | 659.838i | −0.248952 | − | 1.10897i | ||||
\(596\) | 157.603 | + | 51.2082i | 0.264434 | + | 0.0859199i | ||||
\(597\) | 33.8565 | + | 17.1540i | 0.0567111 | + | 0.0287336i | ||||
\(598\) | 148.590 | + | 204.517i | 0.248478 | + | 0.342001i | ||||
\(599\) | − | 288.607i | − | 0.481814i | −0.970548 | − | 0.240907i | \(-0.922555\pi\) | ||
0.970548 | − | 0.240907i | \(-0.0774449\pi\) | |||||||
\(600\) | −149.672 | + | 421.147i | −0.249453 | + | 0.701912i | ||||
\(601\) | 265.405 | 0.441605 | 0.220802 | − | 0.975319i | \(-0.429132\pi\) | ||||
0.220802 | + | 0.975319i | \(0.429132\pi\) | |||||||
\(602\) | 1028.59 | − | 747.312i | 1.70862 | − | 1.24138i | ||||
\(603\) | −30.2437 | − | 21.7640i | −0.0501554 | − | 0.0360928i | ||||
\(604\) | −73.3011 | + | 225.598i | −0.121359 | + | 0.373506i | ||||
\(605\) | 211.761 | + | 91.4068i | 0.350018 | + | 0.151086i | ||||
\(606\) | 28.9839 | + | 180.343i | 0.0478282 | + | 0.297596i | ||||
\(607\) | − | 357.546i | − | 0.589038i | −0.955646 | − | 0.294519i | \(-0.904841\pi\) | ||
0.955646 | − | 0.294519i | \(-0.0951595\pi\) | |||||||
\(608\) | −28.6981 | − | 88.3237i | −0.0472008 | − | 0.145269i | ||||
\(609\) | −728.528 | + | 731.848i | −1.19627 | + | 1.20172i | ||||
\(610\) | 69.9415 | + | 30.1903i | 0.114658 | + | 0.0494923i | ||||
\(611\) | −14.3757 | − | 19.7864i | −0.0235281 | − | 0.0323837i | ||||
\(612\) | 82.9508 | + | 113.087i | 0.135541 | + | 0.184783i | ||||
\(613\) | −201.824 | + | 277.787i | −0.329240 | + | 0.453160i | −0.941260 | − | 0.337682i | \(-0.890357\pi\) |
0.612020 | + | 0.790842i | \(0.290357\pi\) | |||||||
\(614\) | 233.178 | + | 320.941i | 0.379768 | + | 0.522706i | ||||
\(615\) | −420.468 | − | 1052.16i | −0.683687 | − | 1.71083i | ||||
\(616\) | 782.490 | + | 568.512i | 1.27028 | + | 0.922910i | ||||
\(617\) | 47.6139 | + | 146.541i | 0.0771701 | + | 0.237505i | 0.982198 | − | 0.187846i | \(-0.0601506\pi\) |
−0.905028 | + | 0.425351i | \(0.860151\pi\) | |||||||
\(618\) | 325.535 | + | 50.8015i | 0.526756 | + | 0.0822031i | ||||
\(619\) | −321.394 | − | 989.150i | −0.519216 | − | 1.59798i | −0.775479 | − | 0.631374i | \(-0.782491\pi\) |
0.256263 | − | 0.966607i | \(-0.417509\pi\) | |||||||
\(620\) | −18.8458 | + | 201.337i | −0.0303964 | + | 0.324738i | ||||
\(621\) | −418.755 | − | 413.083i | −0.674323 | − | 0.665189i | ||||
\(622\) | −1017.47 | − | 330.595i | −1.63580 | − | 0.531504i | ||||
\(623\) | 768.319 | − | 558.216i | 1.23326 | − | 0.896014i | ||||
\(624\) | 290.245 | + | 45.2944i | 0.465137 | + | 0.0725871i | ||||
\(625\) | 581.950 | + | 227.945i | 0.931120 | + | 0.364713i | ||||
\(626\) | 745.814i | 1.19140i | ||||||||
\(627\) | −144.896 | + | 74.2434i | −0.231094 | + | 0.118411i | ||||
\(628\) | −100.720 | − | 32.7259i | −0.160382 | − | 0.0521113i | ||||
\(629\) | −0.353819 | − | 0.114963i | −0.000562511 | − | 0.000182771i | ||||
\(630\) | −1212.86 | − | 517.003i | −1.92517 | − | 0.820640i | ||||
\(631\) | 271.623 | + | 835.969i | 0.430464 | + | 1.32483i | 0.897664 | + | 0.440681i | \(0.145263\pi\) |
−0.467200 | + | 0.884152i | \(0.654737\pi\) | |||||||
\(632\) | 101.742 | 0.160984 | ||||||||
\(633\) | −1072.88 | + | 172.427i | −1.69491 | + | 0.272397i | ||||
\(634\) | −463.437 | − | 336.707i | −0.730973 | − | 0.531083i | ||||
\(635\) | −573.006 | + | 339.584i | −0.902372 | + | 0.534778i | ||||
\(636\) | 3.38521 | + | 6.60668i | 0.00532265 | + | 0.0103879i | ||||
\(637\) | 317.425 | − | 436.898i | 0.498313 | − | 0.685869i | ||||
\(638\) | 669.231 | + | 486.224i | 1.04895 | + | 0.762107i | ||||
\(639\) | −153.731 | − | 465.917i | −0.240580 | − | 0.729134i | ||||
\(640\) | 697.041 | + | 300.878i | 1.08913 | + | 0.470122i | ||||
\(641\) | −305.155 | + | 420.009i | −0.476060 | + | 0.655241i | −0.977742 | − | 0.209812i | \(-0.932715\pi\) |
0.501682 | + | 0.865052i | \(0.332715\pi\) | |||||||
\(642\) | 1030.45 | − | 165.609i | 1.60506 | − | 0.257957i | ||||
\(643\) | − | 702.045i | − | 1.09183i | −0.837842 | − | 0.545914i | \(-0.816183\pi\) | ||
0.837842 | − | 0.545914i | \(-0.183817\pi\) | |||||||
\(644\) | −376.250 | + | 122.251i | −0.584240 | + | 0.189831i | ||||
\(645\) | −550.693 | − | 347.022i | −0.853788 | − | 0.538018i | ||||
\(646\) | 32.6152 | − | 100.379i | 0.0504880 | − | 0.155386i | ||||
\(647\) | −95.5712 | + | 294.138i | −0.147714 | + | 0.454618i | −0.997350 | − | 0.0727520i | \(-0.976822\pi\) |
0.849636 | + | 0.527370i | \(0.176822\pi\) | |||||||
\(648\) | −482.689 | + | 4.38856i | −0.744890 | + | 0.00677247i | ||||
\(649\) | 616.895 | 0.950532 | ||||||||
\(650\) | 53.8360 | − | 285.056i | 0.0828246 | − | 0.438548i | ||||
\(651\) | 1040.48 | + | 162.373i | 1.59828 | + | 0.249420i | ||||
\(652\) | −16.5781 | − | 22.8179i | −0.0254266 | − | 0.0349967i | ||||
\(653\) | 40.3685 | − | 124.241i | 0.0618200 | − | 0.190263i | −0.915377 | − | 0.402598i | \(-0.868107\pi\) |
0.977197 | + | 0.212336i | \(0.0681071\pi\) | |||||||
\(654\) | −930.012 | − | 471.205i | −1.42204 | − | 0.720497i | ||||
\(655\) | −231.601 | − | 1031.68i | −0.353589 | − | 1.57508i | ||||
\(656\) | −1414.80 | + | 459.697i | −2.15671 | + | 0.700757i | ||||
\(657\) | −98.2873 | + | 307.243i | −0.149600 | + | 0.467645i | ||||
\(658\) | 137.064 | − | 44.5348i | 0.208304 | − | 0.0676821i | ||||
\(659\) | 543.472 | − | 748.024i | 0.824691 | − | 1.13509i | −0.164197 | − | 0.986428i | \(-0.552503\pi\) |
0.988888 | − | 0.148663i | \(-0.0474968\pi\) | |||||||
\(660\) | −68.8891 | + | 271.903i | −0.104377 | + | 0.411974i | ||||
\(661\) | −723.767 | + | 525.847i | −1.09496 | + | 0.795533i | −0.980230 | − | 0.197864i | \(-0.936600\pi\) |
−0.114728 | + | 0.993397i | \(0.536600\pi\) | |||||||
\(662\) | −283.537 | − | 206.002i | −0.428304 | − | 0.311181i | ||||
\(663\) | 113.890 | + | 113.373i | 0.171779 | + | 0.171000i | ||||
\(664\) | −276.035 | + | 200.551i | −0.415715 | + | 0.302035i | ||||
\(665\) | 57.7186 | + | 257.111i | 0.0867949 | + | 0.386633i | ||||
\(666\) | −0.584847 | + | 0.428991i | −0.000878148 | + | 0.000644131i | ||||
\(667\) | 568.082 | − | 184.581i | 0.851697 | − | 0.276733i | ||||
\(668\) | 131.700 | 0.197155 | ||||||||
\(669\) | 108.626 | + | 675.893i | 0.162371 | + | 1.01030i | ||||
\(670\) | 36.2669 | + | 31.9146i | 0.0541298 | + | 0.0476337i | ||||
\(671\) | −80.2679 | − | 26.0806i | −0.119624 | − | 0.0388683i | ||||
\(672\) | −376.582 | + | 743.255i | −0.560390 | + | 1.10603i | ||||
\(673\) | −157.836 | − | 217.242i | −0.234526 | − | 0.322797i | 0.675491 | − | 0.737368i | \(-0.263932\pi\) |
−0.910017 | + | 0.414571i | \(0.863932\pi\) | |||||||
\(674\) | − | 1474.25i | − | 2.18731i | ||||||
\(675\) | −15.3642 | + | 674.825i | −0.0227618 | + | 0.999741i | ||||
\(676\) | 208.692 | 0.308716 | ||||||||
\(677\) | 674.872 | − | 490.323i | 0.996857 | − | 0.724259i | 0.0354451 | − | 0.999372i | \(-0.488715\pi\) |
0.961412 | + | 0.275113i | \(0.0887151\pi\) | |||||||
\(678\) | 365.181 | + | 185.025i | 0.538615 | + | 0.272898i | ||||
\(679\) | −115.975 | + | 356.933i | −0.170802 | + | 0.525674i | ||||
\(680\) | 163.661 | + | 276.157i | 0.240678 | + | 0.406114i | ||||
\(681\) | 920.325 | − | 147.910i | 1.35143 | − | 0.217196i | ||||
\(682\) | − | 843.580i | − | 1.23692i | ||||||
\(683\) | 244.142 | + | 751.391i | 0.357455 | + | 1.10013i | 0.954572 | + | 0.297980i | \(0.0963127\pi\) |
−0.597117 | + | 0.802154i | \(0.703687\pi\) | |||||||
\(684\) | −32.3224 | − | 44.0653i | −0.0472549 | − | 0.0644230i | ||||
\(685\) | −633.856 | + | 720.299i | −0.925338 | + | 1.05153i | ||||
\(686\) | 1026.61 | + | 1413.01i | 1.49652 | + | 2.05978i | ||||
\(687\) | −256.868 | + | 258.038i | −0.373898 | + | 0.375602i | ||||
\(688\) | −502.314 | + | 691.376i | −0.730107 | + | 1.00491i | ||||
\(689\) | 4.99968 | + | 6.88147i | 0.00725643 | + | 0.00998762i | ||||
\(690\) | 487.995 | + | 586.069i | 0.707240 | + | 0.849375i | ||||
\(691\) | −760.429 | − | 552.484i | −1.10048 | − | 0.799543i | −0.119339 | − | 0.992854i | \(-0.538078\pi\) |
−0.981138 | + | 0.193310i | \(0.938078\pi\) | |||||||
\(692\) | −19.3513 | − | 59.5572i | −0.0279643 | − | 0.0860653i | ||||
\(693\) | 1391.25 | + | 445.064i | 2.00758 | + | 0.642228i | ||||
\(694\) | 414.375 | + | 1275.32i | 0.597082 | + | 1.83763i | ||||
\(695\) | −260.291 | − | 439.208i | −0.374519 | − | 0.631954i | ||||
\(696\) | 221.544 | − | 437.259i | 0.318310 | − | 0.628245i | ||||
\(697\) | −773.962 | − | 251.475i | −1.11042 | − | 0.360797i | ||||
\(698\) | 870.783 | − | 632.661i | 1.24754 | − | 0.906390i | ||||
\(699\) | 186.020 | − | 1192.02i | 0.266124 | − | 1.70532i | ||||
\(700\) | 398.230 | + | 217.979i | 0.568900 | + | 0.311398i | ||||
\(701\) | − | 959.479i | − | 1.36873i | −0.729140 | − | 0.684365i | \(-0.760080\pi\) | ||
0.729140 | − | 0.684365i | \(-0.239920\pi\) | |||||||
\(702\) | 309.105 | − | 51.1203i | 0.440320 | − | 0.0728210i | ||||
\(703\) | 0.137868 | + | 0.0447961i | 0.000196114 | + | 6.37213e-5i | ||||
\(704\) | −333.752 | − | 108.443i | −0.474079 | − | 0.154038i | ||||
\(705\) | −47.2122 | − | 56.7005i | −0.0669676 | − | 0.0804263i | ||||
\(706\) | −126.704 | − | 389.956i | −0.179468 | − | 0.552346i | ||||
\(707\) | −327.532 | −0.463271 | ||||||||
\(708\) | 32.8573 | + | 204.444i | 0.0464086 | + | 0.288763i | ||||
\(709\) | 394.579 | + | 286.678i | 0.556529 | + | 0.404342i | 0.830187 | − | 0.557485i | \(-0.188234\pi\) |
−0.273658 | + | 0.961827i | \(0.588234\pi\) | |||||||
\(710\) | 139.332 | + | 620.664i | 0.196243 | + | 0.874175i | ||||
\(711\) | 145.916 | − | 48.1453i | 0.205226 | − | 0.0677150i | ||||
\(712\) | −264.977 | + | 364.709i | −0.372158 | + | 0.512232i | ||||
\(713\) | −492.799 | − | 358.040i | −0.691163 | − | 0.502160i | ||||
\(714\) | −842.750 | + | 431.818i | −1.18032 | + | 0.604788i | ||||
\(715\) | −29.9527 | + | 319.997i | −0.0418919 | + | 0.447549i | ||||
\(716\) | 77.1985 | − | 106.255i | 0.107819 | − | 0.148400i | ||||
\(717\) | 93.4502 | + | 581.465i | 0.130335 | + | 0.810969i | ||||
\(718\) | − | 1077.52i | − | 1.50073i | ||||||
\(719\) | −9.24954 | + | 3.00536i | −0.0128644 | + | 0.00417991i | −0.315442 | − | 0.948945i | \(-0.602153\pi\) |
0.302578 | + | 0.953125i | \(0.402153\pi\) | |||||||
\(720\) | 882.721 | + | 78.5792i | 1.22600 | + | 0.109138i | ||||
\(721\) | −182.567 | + | 561.883i | −0.253213 | + | 0.779311i | ||||
\(722\) | 247.635 | − | 762.141i | 0.342984 | − | 1.05560i | ||||
\(723\) | 493.658 | + | 963.438i | 0.682790 | + | 1.33256i | ||||
\(724\) | −159.159 | −0.219834 | ||||||||
\(725\) | −601.267 | − | 329.115i | −0.829334 | − | 0.453952i | ||||
\(726\) | 49.7977 | − | 319.103i | 0.0685919 | − | 0.439536i | ||||
\(727\) | 542.782 | + | 747.076i | 0.746606 | + | 1.02761i | 0.998211 | + | 0.0597846i | \(0.0190414\pi\) |
−0.251606 | + | 0.967830i | \(0.580959\pi\) | |||||||
\(728\) | −114.953 | + | 353.790i | −0.157903 | + | 0.485975i | ||||
\(729\) | −690.184 | + | 234.707i | −0.946754 | + | 0.321958i | ||||
\(730\) | 165.750 | − | 383.992i | 0.227055 | − | 0.526016i | ||||
\(731\) | −444.618 | + | 144.465i | −0.608232 | + | 0.197627i | ||||
\(732\) | 4.36808 | − | 27.9906i | 0.00596732 | − | 0.0382385i | ||||
\(733\) | −527.602 | + | 171.428i | −0.719784 | + | 0.233872i | −0.645929 | − | 0.763397i | \(-0.723530\pi\) |
−0.0738544 | + | 0.997269i | \(0.523530\pi\) | |||||||
\(734\) | 541.331 | − | 745.078i | 0.737508 | − | 1.01509i | ||||
\(735\) | 868.568 | − | 1378.34i | 1.18173 | − | 1.87530i | ||||
\(736\) | 389.912 | − | 283.288i | 0.529772 | − | 0.384902i | ||||
\(737\) | −43.3004 | − | 31.4596i | −0.0587522 | − | 0.0426860i | ||||
\(738\) | −1279.32 | + | 938.397i | −1.73350 | + | 1.27154i | ||||
\(739\) | 1100.89 | − | 799.845i | 1.48970 | − | 1.08233i | 0.515440 | − | 0.856925i | \(-0.327628\pi\) |
0.974264 | − | 0.225408i | \(-0.0723717\pi\) | |||||||
\(740\) | 0.214852 | − | 0.127329i | 0.000290340 | − | 0.000172066i | ||||
\(741\) | −44.3779 | − | 44.1767i | −0.0598893 | − | 0.0596176i | ||||
\(742\) | −47.6692 | + | 15.4887i | −0.0642442 | + | 0.0208742i | ||||
\(743\) | 124.104 | 0.167031 | 0.0835155 | − | 0.996506i | \(-0.473385\pi\) | ||||
0.0835155 | + | 0.996506i | \(0.473385\pi\) | |||||||
\(744\) | −493.545 | + | 79.3201i | −0.663366 | + | 0.106613i | ||||
\(745\) | 570.331 | + | 53.3847i | 0.765545 | + | 0.0716573i | ||||
\(746\) | −767.445 | − | 249.358i | −1.02875 | − | 0.334260i | ||||
\(747\) | −300.980 | + | 418.248i | −0.402918 | + | 0.559904i | ||||
\(748\) | 118.413 | + | 162.982i | 0.158306 | + | 0.217890i | ||||
\(749\) | 1871.46i | 2.49861i | ||||||||
\(750\) | 105.324 | − | 868.801i | 0.140432 | − | 1.15840i | ||||
\(751\) | 632.917 | 0.842766 | 0.421383 | − | 0.906883i | \(-0.361545\pi\) | ||||
0.421383 | + | 0.906883i | \(0.361545\pi\) | |||||||
\(752\) | −78.3697 | + | 56.9389i | −0.104215 | + | 0.0757166i | ||||
\(753\) | 457.534 | − | 903.028i | 0.607614 | − | 1.19924i | ||||
\(754\) | −98.3147 | + | 302.581i | −0.130391 | + | 0.401302i | ||||
\(755\) | −76.4166 | + | 816.390i | −0.101214 | + | 1.08131i | ||||
\(756\) | −73.3965 | + | 484.778i | −0.0970853 | + | 0.641241i | ||||
\(757\) | 1271.62i | 1.67981i | 0.542734 | + | 0.839904i | \(0.317389\pi\) | ||||
−0.542734 | + | 0.839904i | \(0.682611\pi\) | |||||||
\(758\) | 270.505 | + | 832.529i | 0.356867 | + | 1.09832i | ||||
\(759\) | −598.808 | − | 596.092i | −0.788943 | − | 0.785365i | ||||
\(760\) | −63.7716 | − | 107.607i | −0.0839100 | − | 0.141588i | ||||
\(761\) | 706.088 | + | 971.847i | 0.927843 | + | 1.27707i | 0.960695 | + | 0.277606i | \(0.0895409\pi\) |
−0.0328525 | + | 0.999460i | \(0.510459\pi\) | |||||||
\(762\) | 660.998 | + | 658.000i | 0.867451 | + | 0.863517i | ||||
\(763\) | 1098.86 | − | 1512.45i | 1.44018 | − | 1.98224i | ||||
\(764\) | 83.6686 | + | 115.160i | 0.109514 | + | 0.150733i | ||||
\(765\) | 365.399 | + | 318.612i | 0.477646 | + | 0.416486i | ||||
\(766\) | 239.992 | + | 174.364i | 0.313305 | + | 0.227629i | ||||
\(767\) | 73.3182 | + | 225.650i | 0.0955908 | + | 0.294198i | ||||
\(768\) | 113.690 | − | 728.527i | 0.148034 | − | 0.948602i | ||||
\(769\) | −164.777 | − | 507.132i | −0.214275 | − | 0.659469i | −0.999204 | − | 0.0398846i | \(-0.987301\pi\) |
0.784930 | − | 0.619585i | \(-0.212699\pi\) | |||||||
\(770\) | −1738.79 | − | 750.550i | −2.25817 | − | 0.974740i | ||||
\(771\) | −510.944 | − | 258.878i | −0.662703 | − | 0.335769i | ||||
\(772\) | −251.905 | − | 81.8489i | −0.326302 | − | 0.106022i | ||||
\(773\) | −816.217 | + | 593.017i | −1.05591 | + | 0.767163i | −0.973327 | − | 0.229422i | \(-0.926316\pi\) |
−0.0825815 | + | 0.996584i | \(0.526316\pi\) | |||||||
\(774\) | −277.709 | + | 868.108i | −0.358797 | + | 1.12159i | ||||
\(775\) | 88.8804 | + | 693.335i | 0.114684 | + | 0.894626i | ||||
\(776\) | − | 178.150i | − | 0.229575i | ||||||
\(777\) | −0.593090 | − | 1.15749i | −0.000763308 | − | 0.00148970i | ||||
\(778\) | 593.865 | + | 192.959i | 0.763323 | + | 0.248019i | ||||
\(779\) | 301.580 | + | 97.9892i | 0.387137 | + | 0.125788i | ||||
\(780\) | −107.645 | + | 7.11723i | −0.138007 | + | 0.00912466i | ||||
\(781\) | −217.778 | − | 670.253i | −0.278846 | − | 0.858198i | ||||
\(782\) | 547.742 | 0.700437 | ||||||||
\(783\) | 110.818 | − | 731.943i | 0.141530 | − | 0.934793i | ||||
\(784\) | −1730.46 | − | 1257.25i | −2.20722 | − | 1.60364i | ||||
\(785\) | −364.484 | − | 34.1168i | −0.464311 | − | 0.0434609i | ||||
\(786\) | −1317.67 | + | 675.163i | −1.67642 | + | 0.858986i | ||||
\(787\) | 527.782 | − | 726.430i | 0.670625 | − | 0.923037i | −0.329149 | − | 0.944278i | \(-0.606762\pi\) |
0.999774 | + | 0.0212413i | \(0.00676184\pi\) | |||||||
\(788\) | −395.660 | − | 287.464i | −0.502107 | − | 0.364802i | ||||
\(789\) | 375.259 | + | 732.367i | 0.475613 | + | 0.928222i | ||||
\(790\) | −194.380 | + | 43.6361i | −0.246050 | + | 0.0552356i | ||||
\(791\) | −431.480 | + | 593.882i | −0.545487 | + | 0.750799i | ||||
\(792\) | −693.369 | + | 3.15196i | −0.875466 | + | 0.00397974i | ||||
\(793\) | − | 32.4604i | − | 0.0409336i | ||||||
\(794\) | −160.129 | + | 52.0292i | −0.201674 | + | 0.0655279i | ||||
\(795\) | 16.4198 | + | 19.7197i | 0.0206538 | + | 0.0248047i | ||||
\(796\) | −5.65493 | + | 17.4041i | −0.00710419 | + | 0.0218644i | ||||
\(797\) | 24.0490 | − | 74.0152i | 0.0301744 | − | 0.0928673i | −0.934835 | − | 0.355082i | \(-0.884453\pi\) |
0.965010 | + | 0.262215i | \(0.0844529\pi\) | |||||||
\(798\) | 328.384 | − | 168.261i | 0.411508 | − | 0.210854i | ||||
\(799\) | −52.9925 | −0.0663235 | ||||||||
\(800\) | −543.462 | − | 102.639i | −0.679327 | − | 0.128298i | ||||
\(801\) | −207.439 | + | 648.447i | −0.258975 | + | 0.809547i | ||||
\(802\) | −350.528 | − | 482.460i | −0.437067 | − | 0.601572i | ||||
\(803\) | −143.187 | + | 440.685i | −0.178316 | + | 0.548799i | ||||
\(804\) | 8.11968 | − | 16.0257i | 0.0100991 | − | 0.0199325i | ||||
\(805\) | −1176.45 | + | 697.205i | −1.46142 | + | 0.866093i | ||||
\(806\) | 308.568 | − | 100.260i | 0.382838 | − | 0.124392i | ||||
\(807\) | 413.099 | + | 64.4663i | 0.511894 | + | 0.0798839i | ||||
\(808\) | 147.865 | − | 48.0443i | 0.183001 | − | 0.0594607i | ||||
\(809\) | 503.318 | − | 692.758i | 0.622148 | − | 0.856314i | −0.375359 | − | 0.926880i | \(-0.622481\pi\) |
0.997507 | + | 0.0705660i | \(0.0224805\pi\) | |||||||
\(810\) | 920.302 | − | 215.405i | 1.13618 | − | 0.265932i | ||||
\(811\) | 859.986 | − | 624.817i | 1.06040 | − | 0.770427i | 0.0862396 | − | 0.996274i | \(-0.472515\pi\) |
0.974163 | + | 0.225847i | \(0.0725149\pi\) | |||||||
\(812\) | −402.803 | − | 292.654i | −0.496063 | − | 0.360411i | ||||
\(813\) | 743.938 | − | 747.328i | 0.915053 | − | 0.919222i | ||||
\(814\) | −0.842883 | + | 0.612390i | −0.00103548 | + | 0.000752322i | ||||
\(815\) | −73.1910 | − | 64.4074i | −0.0898049 | − | 0.0790274i | ||||
\(816\) | 449.046 | − | 451.092i | 0.550302 | − | 0.552809i | ||||
\(817\) | 173.249 | − | 56.2919i | 0.212055 | − | 0.0689007i | ||||
\(818\) | −1667.15 | −2.03808 | ||||||||
\(819\) | 2.55384 | + | 561.794i | 0.00311824 | + | 0.685951i | ||||
\(820\) | 469.978 | − | 278.526i | 0.573144 | − | 0.339666i | ||||
\(821\) | 711.389 | + | 231.144i | 0.866491 | + | 0.281540i | 0.708337 | − | 0.705874i | \(-0.249446\pi\) |
0.158154 | + | 0.987414i | \(0.449446\pi\) | |||||||
\(822\) | 1198.47 | + | 607.224i | 1.45799 | + | 0.738715i | ||||
\(823\) | −458.192 | − | 630.647i | −0.556733 | − | 0.766278i | 0.434173 | − | 0.900829i | \(-0.357041\pi\) |
−0.990907 | + | 0.134552i | \(0.957041\pi\) | |||||||
\(824\) | − | 280.443i | − | 0.340343i | ||||||
\(825\) | −26.4758 | + | 969.227i | −0.0320918 | + | 1.17482i | ||||
\(826\) | −1398.10 | −1.69261 | ||||||||
\(827\) | 551.236 | − | 400.497i | 0.666549 | − | 0.484276i | −0.202319 | − | 0.979320i | \(-0.564848\pi\) |
0.868868 | + | 0.495043i | \(0.164848\pi\) | |||||||
\(828\) | 165.656 | − | 230.199i | 0.200067 | − | 0.278018i | ||||
\(829\) | 131.487 | − | 404.674i | 0.158609 | − | 0.488147i | −0.839900 | − | 0.542741i | \(-0.817386\pi\) |
0.998509 | + | 0.0545941i | \(0.0173865\pi\) | |||||||
\(830\) | 441.355 | − | 501.545i | 0.531753 | − | 0.604271i | ||||
\(831\) | −189.726 | − | 1180.51i | −0.228311 | − | 1.42059i | ||||
\(832\) | − | 134.969i | − | 0.162223i | ||||||
\(833\) | −361.585 | − | 1112.84i | −0.434075 | − | 1.33595i | ||||
\(834\) | −504.356 | + | 506.654i | −0.604743 | + | 0.607499i | ||||
\(835\) | 444.193 | − | 99.7166i | 0.531968 | − | 0.119421i | ||||
\(836\) | −46.1406 | − | 63.5070i | −0.0551921 | − | 0.0759653i | ||||
\(837\) | −670.295 | + | 347.310i | −0.800830 | + | 0.414946i | ||||
\(838\) | 6.86018 | − | 9.44223i | 0.00818637 | − | 0.0112676i | ||||
\(839\) | 795.202 | + | 1094.50i | 0.947797 | + | 1.30453i | 0.952499 | + | 0.304542i | \(0.0985033\pi\) |
−0.00470187 | + | 0.999989i | \(0.501497\pi\) | |||||||
\(840\) | −275.622 | + | 1087.87i | −0.328121 | + | 1.29508i | ||||
\(841\) | −72.2106 | − | 52.4640i | −0.0858627 | − | 0.0623829i | ||||
\(842\) | 80.9242 | + | 249.059i | 0.0961095 | + | 0.295795i | ||||
\(843\) | −523.278 | − | 81.6603i | −0.620733 | − | 0.0968687i | ||||
\(844\) | −161.903 | − | 498.285i | −0.191828 | − | 0.590385i | ||||
\(845\) | 703.871 | − | 158.011i | 0.832983 | − | 0.186996i | ||||
\(846\) | −60.3467 | + | 83.8591i | −0.0713318 | + | 0.0991242i | ||||
\(847\) | 550.780 | + | 178.959i | 0.650272 | + | 0.211286i | ||||
\(848\) | 27.2560 | − | 19.8026i | 0.0321415 | − | 0.0233522i | ||||
\(849\) | 955.469 | + | 149.106i | 1.12541 | + | 0.175626i | ||||
\(850\) | −431.118 | − | 457.410i | −0.507197 | − | 0.538130i | ||||
\(851\) | 0.752308i | 0.000884028i | ||||||||
\(852\) | 210.528 | − | 107.873i | 0.247099 | − | 0.126611i | ||||
\(853\) | 1153.47 | + | 374.784i | 1.35225 | + | 0.439372i | 0.893448 | − | 0.449167i | \(-0.148279\pi\) |
0.458800 | + | 0.888539i | \(0.348279\pi\) | |||||||
\(854\) | 181.915 | + | 59.1076i | 0.213015 | + | 0.0692127i | ||||
\(855\) | −142.380 | − | 124.149i | −0.166527 | − | 0.145204i | ||||
\(856\) | −274.516 | − | 844.873i | −0.320696 | − | 0.987002i | ||||
\(857\) | −549.363 | −0.641031 | −0.320515 | − | 0.947243i | \(-0.603856\pi\) | ||||
−0.320515 | + | 0.947243i | \(0.603856\pi\) | |||||||
\(858\) | 444.336 | − | 71.4115i | 0.517874 | − | 0.0832302i | ||||
\(859\) | 414.050 | + | 300.825i | 0.482013 | + | 0.350203i | 0.802105 | − | 0.597183i | \(-0.203714\pi\) |
−0.320091 | + | 0.947387i | \(0.603714\pi\) | |||||||
\(860\) | 124.377 | − | 288.142i | 0.144624 | − | 0.335049i | ||||
\(861\) | −1297.35 | − | 2531.96i | −1.50680 | − | 2.94072i | ||||
\(862\) | −604.110 | + | 831.486i | −0.700823 | + | 0.964601i | ||||
\(863\) | 342.771 | + | 249.038i | 0.397185 | + | 0.288572i | 0.768394 | − | 0.639978i | \(-0.221056\pi\) |
−0.371208 | + | 0.928550i | \(0.621056\pi\) | |||||||
\(864\) | −97.4611 | − | 589.310i | −0.112802 | − | 0.682071i | ||||
\(865\) | −110.362 | − | 186.221i | −0.127586 | − | 0.215285i | ||||
\(866\) | 1011.62 | − | 1392.38i | 1.16816 | − | 1.60783i | ||||
\(867\) | −512.234 | + | 82.3238i | −0.590812 | + | 0.0949525i | ||||
\(868\) | 507.743i | 0.584957i | ||||||||
\(869\) | 209.910 | − | 68.2038i | 0.241553 | − | 0.0784854i | ||||
\(870\) | −235.727 | + | 930.408i | −0.270951 | + | 1.06943i | ||||
\(871\) | 6.36113 | − | 19.5775i | 0.00730325 | − | 0.0224771i | ||||
\(872\) | −274.227 | + | 843.984i | −0.314480 | + | 0.967871i | ||||
\(873\) | −84.3024 | − | 255.498i | −0.0965663 | − | 0.292667i | ||||
\(874\) | −213.432 | −0.244201 | ||||||||
\(875\) | 1508.18 | + | 433.674i | 1.72364 | + | 0.495627i | ||||
\(876\) | −153.673 | − | 23.9815i | −0.175426 | − | 0.0273762i | ||||
\(877\) | −65.6432 | − | 90.3501i | −0.0748497 | − | 0.103022i | 0.769951 | − | 0.638103i | \(-0.220281\pi\) |
−0.844800 | + | 0.535082i | \(0.820281\pi\) | |||||||
\(878\) | −134.305 | + | 413.349i | −0.152967 | + | 0.470784i | ||||
\(879\) | 884.922 | + | 448.360i | 1.00674 | + | 0.510079i | ||||
\(880\) | 1267.44 | + | 118.636i | 1.44027 | + | 0.134814i | ||||
\(881\) | 264.217 | − | 85.8494i | 0.299906 | − | 0.0974454i | −0.155199 | − | 0.987883i | \(-0.549602\pi\) |
0.455105 | + | 0.890438i | \(0.349602\pi\) | |||||||
\(882\) | −2172.81 | − | 695.084i | −2.46350 | − | 0.788077i | ||||
\(883\) | −998.750 | + | 324.514i | −1.13109 | + | 0.367513i | −0.813989 | − | 0.580880i | \(-0.802709\pi\) |
−0.317098 | + | 0.948393i | \(0.602709\pi\) | |||||||
\(884\) | −45.5426 | + | 62.6840i | −0.0515188 | + | 0.0709095i | ||||
\(885\) | 265.616 | + | 664.667i | 0.300131 | + | 0.751036i | ||||
\(886\) | 896.236 | − | 651.153i | 1.01155 | − | 0.734936i | ||||
\(887\) | 527.586 | + | 383.313i | 0.594798 | + | 0.432146i | 0.844029 | − | 0.536298i | \(-0.180178\pi\) |
−0.249231 | + | 0.968444i | \(0.580178\pi\) | |||||||
\(888\) | 0.437539 | + | 0.435555i | 0.000492725 | + | 0.000490490i | ||||
\(889\) | −1353.02 | + | 983.027i | −1.52196 | + | 1.10577i | ||||
\(890\) | 349.822 | − | 810.429i | 0.393059 | − | 0.910594i | ||||
\(891\) | −992.921 | + | 332.630i | −1.11439 | + | 0.373322i | ||||
\(892\) | −313.911 | + | 101.996i | −0.351918 | + | 0.114345i | ||||
\(893\) | 20.6489 | 0.0231231 | ||||||||
\(894\) | −127.277 | − | 791.940i | −0.142368 | − | 0.885839i | ||||
\(895\) | 179.923 | − | 416.824i | 0.201031 | − | 0.465726i | ||||
\(896\) | 1812.97 | + | 589.070i | 2.02341 | + | 0.657444i | ||||
\(897\) | 146.872 | − | 289.880i | 0.163737 | − | 0.323166i | ||||
\(898\) | 289.543 | + | 398.521i | 0.322431 | + | 0.443788i | ||||
\(899\) | − | 766.615i | − | 0.852742i | ||||||
\(900\) | −322.620 | + | 42.8490i | −0.358467 | + | 0.0476100i | ||||
\(901\) | 18.4301 | 0.0204552 | ||||||||
\(902\) | −1843.76 | + | 1339.57i | −2.04408 | + | 1.48511i | ||||
\(903\) | −1457.91 | − | 738.672i | −1.61452 | − | 0.818020i | ||||
\(904\) | 107.679 | − | 331.401i | 0.119114 | − | 0.366594i | ||||
\(905\) | −536.809 | + | 120.508i | −0.593160 | + | 0.133158i | ||||
\(906\) | 1133.61 | − | 182.188i | 1.25122 | − | 0.201091i | ||||
\(907\) | 1.34888i | 0.00148718i | 1.00000 | 0.000743592i | \(0.000236693\pi\) | |||||
−1.00000 | 0.000743592i | \(0.999763\pi\) | ||||||||
\(908\) | 138.882 | + | 427.435i | 0.152954 | + | 0.470743i | ||||
\(909\) | 189.329 | − | 138.875i | 0.208283 | − | 0.152778i | ||||
\(910\) | 67.8831 | − | 725.224i | 0.0745968 | − | 0.796949i | ||||
\(911\) | −460.782 | − | 634.213i | −0.505798 | − | 0.696172i | 0.477405 | − | 0.878683i | \(-0.341577\pi\) |
−0.983204 | + | 0.182511i | \(0.941577\pi\) | |||||||
\(912\) | −174.974 | + | 175.771i | −0.191857 | + | 0.192732i | ||||
\(913\) | −435.062 | + | 598.812i | −0.476519 | + | 0.655873i | ||||
\(914\) | −485.052 | − | 667.617i | −0.530692 | − | 0.730435i | ||||
\(915\) | −6.46056 | − | 97.7132i | −0.00706072 | − | 0.106790i | ||||
\(916\) | −142.022 | − | 103.185i | −0.155046 | − | 0.112648i | ||||
\(917\) | −820.406 | − | 2524.95i | −0.894663 | − | 2.75349i | ||||
\(918\) | 304.057 | − | 606.942i | 0.331217 | − | 0.661157i | ||||
\(919\) | 10.8003 | + | 33.2399i | 0.0117522 | + | 0.0361697i | 0.956761 | − | 0.290876i | \(-0.0939468\pi\) |
−0.945008 | + | 0.327046i | \(0.893947\pi\) | |||||||
\(920\) | 428.839 | − | 487.322i | 0.466129 | − | 0.529698i | ||||
\(921\) | 230.482 | − | 454.899i | 0.250251 | − | 0.493918i | ||||
\(922\) | 662.740 | + | 215.337i | 0.718807 | + | 0.233555i | ||||
\(923\) | 219.284 | − | 159.319i | 0.237578 | − | 0.172610i | ||||
\(924\) | −108.593 | + | 695.863i | −0.117525 | + | 0.753098i | ||||
\(925\) | 0.628240 | − | 0.592128i | 0.000679179 | − | 0.000640139i | ||||
\(926\) | − | 1211.45i | − | 1.30826i | ||||||
\(927\) | −132.709 | − | 402.205i | −0.143159 | − | 0.433878i | ||||
\(928\) | 576.873 | + | 187.437i | 0.621630 | + | 0.201980i | ||||
\(929\) | −317.359 | − | 103.116i | −0.341613 | − | 0.110997i | 0.133186 | − | 0.991091i | \(-0.457479\pi\) |
−0.474799 | + | 0.880094i | \(0.657479\pi\) | |||||||
\(930\) | 908.905 | − | 363.219i | 0.977318 | − | 0.390558i | ||||
\(931\) | 140.894 | + | 433.627i | 0.151336 | + | 0.465765i | ||||
\(932\) | 581.690 | 0.624131 | ||||||||
\(933\) | 218.222 | + | 1357.82i | 0.233892 | + | 1.45532i | ||||
\(934\) | 805.331 | + | 585.108i | 0.862239 | + | 0.626453i | ||||
\(935\) | 522.783 | + | 460.044i | 0.559127 | + | 0.492026i | ||||
\(936\) | −83.5600 | − | 253.248i | −0.0892735 | − | 0.270564i | ||||
\(937\) | −156.678 | + | 215.649i | −0.167213 | + | 0.230148i | −0.884397 | − | 0.466735i | \(-0.845430\pi\) |
0.717185 | + | 0.696883i | \(0.245430\pi\) | |||||||
\(938\) | 98.1335 | + | 71.2981i | 0.104620 | + | 0.0760108i | ||||
\(939\) | 853.239 | − | 437.193i | 0.908668 | − | 0.465594i | ||||
\(940\) | 23.5015 | − | 26.7065i | 0.0250016 | − | 0.0284112i | ||||
\(941\) | −53.2570 | + | 73.3019i | −0.0565961 | + | 0.0778979i | −0.836377 | − | 0.548155i | \(-0.815330\pi\) |
0.779781 | + | 0.626053i | \(0.215330\pi\) | |||||||
\(942\) | 81.3394 | + | 506.109i | 0.0863476 | + | 0.537271i | ||||
\(943\) | 1645.64i | 1.74511i | ||||||||
\(944\) | 893.751 | − | 290.397i | 0.946770 | − | 0.307624i | ||||
\(945\) | 119.501 | + | 1690.62i | 0.126456 | + | 1.78902i | ||||
\(946\) | −404.573 | + | 1245.15i | −0.427667 | + | 1.31622i | ||||
\(947\) | 406.796 | − | 1251.99i | 0.429562 | − | 1.32206i | −0.468995 | − | 0.883201i | \(-0.655384\pi\) |
0.898557 | − | 0.438856i | \(-0.144616\pi\) | |||||||
\(948\) | 33.7836 | + | 65.9331i | 0.0356367 | + | 0.0695497i | ||||
\(949\) | −178.213 | −0.187791 | ||||||||
\(950\) | 167.988 | + | 178.233i | 0.176830 | + | 0.187614i | ||||
\(951\) | −113.541 | + | 727.566i | −0.119391 | + | 0.765053i | ||||
\(952\) | 473.765 | + | 652.081i | 0.497652 | + | 0.684959i | ||||
\(953\) | −533.396 | + | 1641.62i | −0.559702 | + | 1.72259i | 0.123488 | + | 0.992346i | \(0.460592\pi\) |
−0.683190 | + | 0.730240i | \(0.739408\pi\) | |||||||
\(954\) | 20.9878 | − | 29.1651i | 0.0219998 | − | 0.0305714i | ||||
\(955\) | 369.389 | + | 325.059i | 0.386795 | + | 0.340376i | ||||
\(956\) | −270.055 | + | 87.7461i | −0.282484 | + | 0.0917846i | ||||
\(957\) | 163.959 | − | 1050.65i | 0.171326 | − | 1.09786i | ||||
\(958\) | −654.627 | + | 212.701i | −0.683326 | + | 0.222026i | ||||
\(959\) | −1416.05 | + | 1949.03i | −1.47660 | + | 2.03236i | ||||
\(960\) | −26.8628 | − | 406.289i | −0.0279821 | − | 0.423218i | ||||
\(961\) | 144.991 | − | 105.342i | 0.150875 | − | 0.109617i | ||||
\(962\) | −0.324179 | − | 0.235530i | −0.000336984 | − | 0.000244834i | ||||
\(963\) | −793.507 | − | 1081.79i | −0.823995 | − | 1.12336i | ||||
\(964\) | −422.269 | + | 306.797i | −0.438039 | + | 0.318254i | ||||
\(965\) | −911.591 | − | 85.3277i | −0.944654 | − | 0.0884225i | ||||
\(966\) | 1357.10 | + | 1350.95i | 1.40487 | + | 1.39850i | ||||
\(967\) | −692.020 | + | 224.851i | −0.715636 | + | 0.232524i | −0.644130 | − | 0.764916i | \(-0.722780\pi\) |
−0.0715060 | + | 0.997440i | \(0.522780\pi\) | |||||||
\(968\) | −274.902 | −0.283989 | ||||||||
\(969\) | −133.957 | + | 21.5289i | −0.138242 | + | 0.0222176i | ||||
\(970\) | 76.4067 | + | 340.358i | 0.0787698 | + | 0.350885i | ||||
\(971\) | −1094.40 | − | 355.593i | −1.12709 | − | 0.366213i | −0.314619 | − | 0.949218i | \(-0.601877\pi\) |
−0.812468 | + | 0.583005i | \(0.801877\pi\) | |||||||
\(972\) | −163.122 | − | 311.346i | −0.167821 | − | 0.320315i | ||||
\(973\) | −753.489 | − | 1037.09i | −0.774397 | − | 1.06587i | ||||
\(974\) | 1548.00i | 1.58932i | ||||||||
\(975\) | −357.674 | + | 105.509i | −0.366845 | + | 0.108214i | ||||
\(976\) | −128.568 | −0.131730 | ||||||||
\(977\) | −214.381 | + | 155.757i | −0.219428 | + | 0.159424i | −0.692069 | − | 0.721831i | \(-0.743301\pi\) |
0.472641 | + | 0.881255i | \(0.343301\pi\) | |||||||
\(978\) | −61.7012 | + | 121.779i | −0.0630892 | + | 0.124518i | ||||
\(979\) | −302.202 | + | 930.083i | −0.308685 | + | 0.950034i | ||||
\(980\) | 721.196 | + | 311.305i | 0.735914 | + | 0.317658i | ||||
\(981\) | 6.09231 | + | 1340.19i | 0.00621030 | + | 1.36615i | ||||
\(982\) | − | 1252.31i | − | 1.27526i | ||||||
\(983\) | −500.620 | − | 1540.75i | −0.509277 | − | 1.56739i | −0.793459 | − | 0.608624i | \(-0.791722\pi\) |
0.284181 | − | 0.958771i | \(-0.408278\pi\) | |||||||
\(984\) | 957.095 | + | 952.754i | 0.972658 | + | 0.968246i | ||||
\(985\) | −1552.13 | − | 669.976i | −1.57576 | − | 0.680179i | ||||
\(986\) | 405.191 | + | 557.697i | 0.410944 | + | 0.565616i | ||||
\(987\) | −131.296 | − | 130.700i | −0.133025 | − | 0.132422i | ||||
\(988\) | 17.7460 | − | 24.4253i | 0.0179615 | − | 0.0247219i | ||||
\(989\) | 555.674 | + | 764.819i | 0.561854 | + | 0.773326i | ||||
\(990\) | 1323.34 | − | 303.401i | 1.33671 | − | 0.306466i | ||||
\(991\) | −262.932 | − | 191.031i | −0.265320 | − | 0.192766i | 0.447169 | − | 0.894449i | \(-0.352432\pi\) |
−0.712489 | + | 0.701683i | \(0.752432\pi\) | |||||||
\(992\) | −191.146 | − | 588.286i | −0.192687 | − | 0.593030i | ||||
\(993\) | −69.4657 | + | 445.135i | −0.0699554 | + | 0.448273i | ||||
\(994\) | 493.560 | + | 1519.02i | 0.496540 | + | 1.52819i | ||||
\(995\) | −5.89528 | + | 62.9818i | −0.00592491 | + | 0.0632982i | ||||
\(996\) | −221.624 | − | 112.289i | −0.222514 | − | 0.112740i | ||||
\(997\) | 779.958 | + | 253.424i | 0.782305 | + | 0.254186i | 0.672824 | − | 0.739803i | \(-0.265081\pi\) |
0.109481 | + | 0.993989i | \(0.465081\pi\) | |||||||
\(998\) | −1493.87 | + | 1085.36i | −1.49687 | + | 1.08754i | ||||
\(999\) | 0.833618 | + | 0.417614i | 0.000834452 | + | 0.000418032i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 75.3.h.a.14.14 | yes | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.5 | ✓ | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.27 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.10 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.5 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.9 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.28 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.14 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.5 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.9 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.28 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.14 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.10 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.5 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.14 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.27 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.5 | ✓ | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.14.14 | yes | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.59.5 | yes | 72 | 25.9 | even | 10 | inner | |
75.3.h.a.59.14 | yes | 72 | 75.59 | odd | 10 | inner | |
375.3.h.a.74.5 | 72 | 5.4 | even | 2 | |||
375.3.h.a.74.14 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.299.5 | 72 | 75.41 | odd | 10 | |||
375.3.h.a.299.14 | 72 | 25.16 | even | 5 | |||
375.3.j.b.176.9 | 144 | 15.2 | even | 4 | |||
375.3.j.b.176.10 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.176.27 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.176.28 | 144 | 15.8 | even | 4 | |||
375.3.j.b.326.9 | 144 | 25.12 | odd | 20 | |||
375.3.j.b.326.10 | 144 | 75.38 | even | 20 | |||
375.3.j.b.326.27 | 144 | 75.62 | even | 20 | |||
375.3.j.b.326.28 | 144 | 25.13 | odd | 20 |