Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,2,Mod(13,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.j (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: | \(0.383281929702\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | 8.0.18939904.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 14x^{6} - 28x^{5} + 43x^{4} - 44x^{3} + 30x^{2} - 12x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 37.1 | ||
Root | \(0.500000 - 2.10607i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.37 |
Dual form | 48.2.j.a.13.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34277 | + | 0.443806i | −0.949483 | + | 0.313818i | ||||
\(3\) | 0.707107 | − | 0.707107i | 0.408248 | − | 0.408248i | ||||
\(4\) | 1.60607 | − | 1.19186i | 0.803037 | − | 0.595930i | ||||
\(5\) | 1.27133 | + | 1.27133i | 0.568556 | + | 0.568556i | 0.931724 | − | 0.363168i | \(-0.118305\pi\) |
−0.363168 | + | 0.931724i | \(0.618305\pi\) | |||||||
\(6\) | −0.635665 | + | 1.26330i | −0.259509 | + | 0.515741i | ||||
\(7\) | − | 0.158942i | − | 0.0600743i | −0.999549 | − | 0.0300371i | \(-0.990437\pi\) | ||
0.999549 | − | 0.0300371i | \(-0.00956256\pi\) | |||||||
\(8\) | −1.62764 | + | 2.31318i | −0.575456 | + | 0.817833i | ||||
\(9\) | − | 1.00000i | − | 0.333333i | ||||||
\(10\) | −2.27133 | − | 1.14288i | −0.718258 | − | 0.361411i | ||||
\(11\) | −3.79793 | − | 3.79793i | −1.14512 | − | 1.14512i | −0.987500 | − | 0.157620i | \(-0.949618\pi\) |
−0.157620 | − | 0.987500i | \(-0.550382\pi\) | |||||||
\(12\) | 0.292893 | − | 1.97844i | 0.0845510 | − | 0.571126i | ||||
\(13\) | −4.21215 | + | 4.21215i | −1.16824 | + | 1.16824i | −0.185617 | + | 0.982622i | \(0.559428\pi\) |
−0.982622 | + | 0.185617i | \(0.940572\pi\) | |||||||
\(14\) | 0.0705392 | + | 0.213422i | 0.0188524 | + | 0.0570395i | ||||
\(15\) | 1.79793 | 0.464224 | ||||||||
\(16\) | 1.15894 | − | 3.82843i | 0.289735 | − | 0.957107i | ||||
\(17\) | 3.05320 | 0.740511 | 0.370255 | − | 0.928930i | \(-0.379270\pi\) | ||||
0.370255 | + | 0.928930i | \(0.379270\pi\) | |||||||
\(18\) | 0.443806 | + | 1.34277i | 0.104606 | + | 0.316494i | ||||
\(19\) | −2.15894 | + | 2.15894i | −0.495295 | + | 0.495295i | −0.909970 | − | 0.414675i | \(-0.863895\pi\) |
0.414675 | + | 0.909970i | \(0.363895\pi\) | |||||||
\(20\) | 3.55710 | + | 0.526602i | 0.795391 | + | 0.117752i | ||||
\(21\) | −0.112389 | − | 0.112389i | −0.0245252 | − | 0.0245252i | ||||
\(22\) | 6.78530 | + | 3.41421i | 1.44663 | + | 0.727913i | ||||
\(23\) | 2.82843i | 0.589768i | 0.955533 | + | 0.294884i | \(0.0952810\pi\) | ||||
−0.955533 | + | 0.294884i | \(0.904719\pi\) | |||||||
\(24\) | 0.484753 | + | 2.78658i | 0.0989497 | + | 0.568808i | ||||
\(25\) | − | 1.76744i | − | 0.353488i | ||||||
\(26\) | 3.78658 | − | 7.52533i | 0.742609 | − | 1.47584i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −0.189436 | − | 0.255272i | −0.0358001 | − | 0.0482419i | ||||
\(29\) | 2.09976 | − | 2.09976i | 0.389915 | − | 0.389915i | −0.484742 | − | 0.874657i | \(-0.661087\pi\) |
0.874657 | + | 0.484742i | \(0.161087\pi\) | |||||||
\(30\) | −2.41421 | + | 0.797933i | −0.440773 | + | 0.145682i | ||||
\(31\) | 4.15894 | 0.746968 | 0.373484 | − | 0.927637i | \(-0.378163\pi\) | ||||
0.373484 | + | 0.927637i | \(0.378163\pi\) | |||||||
\(32\) | 0.142883 | + | 5.65505i | 0.0252584 | + | 0.999681i | ||||
\(33\) | −5.37109 | −0.934986 | ||||||||
\(34\) | −4.09976 | + | 1.35503i | −0.703103 | + | 0.232386i | ||||
\(35\) | 0.202067 | − | 0.202067i | 0.0341556 | − | 0.0341556i | ||||
\(36\) | −1.19186 | − | 1.60607i | −0.198643 | − | 0.267679i | ||||
\(37\) | −5.98737 | − | 5.98737i | −0.984317 | − | 0.984317i | 0.0155615 | − | 0.999879i | \(-0.495046\pi\) |
−0.999879 | + | 0.0155615i | \(0.995046\pi\) | |||||||
\(38\) | 1.94082 | − | 3.85712i | 0.314842 | − | 0.625707i | ||||
\(39\) | 5.95687i | 0.953863i | ||||||||
\(40\) | −5.01008 | + | 0.871553i | −0.792163 | + | 0.137805i | ||||
\(41\) | − | 2.60365i | − | 0.406622i | −0.979114 | − | 0.203311i | \(-0.934830\pi\) | ||
0.979114 | − | 0.203311i | \(-0.0651702\pi\) | |||||||
\(42\) | 0.200791 | + | 0.101034i | 0.0309828 | + | 0.0155898i | ||||
\(43\) | 5.75481 | + | 5.75481i | 0.877600 | + | 0.877600i | 0.993286 | − | 0.115686i | \(-0.0369066\pi\) |
−0.115686 | + | 0.993286i | \(0.536907\pi\) | |||||||
\(44\) | −10.6264 | − | 1.57316i | −1.60198 | − | 0.237162i | ||||
\(45\) | 1.27133 | − | 1.27133i | 0.189519 | − | 0.189519i | ||||
\(46\) | −1.25527 | − | 3.79793i | −0.185080 | − | 0.559975i | ||||
\(47\) | −2.82843 | −0.412568 | −0.206284 | − | 0.978492i | \(-0.566137\pi\) | ||||
−0.206284 | + | 0.978492i | \(0.566137\pi\) | |||||||
\(48\) | −1.88761 | − | 3.52660i | −0.272453 | − | 0.509021i | ||||
\(49\) | 6.97474 | 0.996391 | ||||||||
\(50\) | 0.784399 | + | 2.37327i | 0.110931 | + | 0.335631i | ||||
\(51\) | 2.15894 | − | 2.15894i | 0.302312 | − | 0.302312i | ||||
\(52\) | −1.74473 | + | 11.7853i | −0.241950 | + | 1.63433i | ||||
\(53\) | 3.55710 | + | 3.55710i | 0.488605 | + | 0.488605i | 0.907866 | − | 0.419261i | \(-0.137711\pi\) |
−0.419261 | + | 0.907866i | \(0.637711\pi\) | |||||||
\(54\) | 1.26330 | + | 0.635665i | 0.171914 | + | 0.0865031i | ||||
\(55\) | − | 9.65685i | − | 1.30213i | ||||||
\(56\) | 0.367661 | + | 0.258699i | 0.0491307 | + | 0.0345701i | ||||
\(57\) | 3.05320i | 0.404407i | ||||||||
\(58\) | −1.88761 | + | 3.75138i | −0.247856 | + | 0.492580i | ||||
\(59\) | 4.00000 | + | 4.00000i | 0.520756 | + | 0.520756i | 0.917800 | − | 0.397044i | \(-0.129964\pi\) |
−0.397044 | + | 0.917800i | \(0.629964\pi\) | |||||||
\(60\) | 2.88761 | − | 2.14288i | 0.372789 | − | 0.276645i | ||||
\(61\) | 3.66949 | − | 3.66949i | 0.469829 | − | 0.469829i | −0.432030 | − | 0.901859i | \(-0.642202\pi\) |
0.901859 | + | 0.432030i | \(0.142202\pi\) | |||||||
\(62\) | −5.58451 | + | 1.84576i | −0.709234 | + | 0.234412i | ||||
\(63\) | −0.158942 | −0.0200248 | ||||||||
\(64\) | −2.70160 | − | 7.53003i | −0.337700 | − | 0.941254i | ||||
\(65\) | −10.7101 | −1.32842 | ||||||||
\(66\) | 7.21215 | − | 2.38372i | 0.887754 | − | 0.293416i | ||||
\(67\) | 0.767438 | − | 0.767438i | 0.0937575 | − | 0.0937575i | −0.658672 | − | 0.752430i | \(-0.728882\pi\) |
0.752430 | + | 0.658672i | \(0.228882\pi\) | |||||||
\(68\) | 4.90367 | − | 3.63899i | 0.594657 | − | 0.441292i | ||||
\(69\) | 2.00000 | + | 2.00000i | 0.240772 | + | 0.240772i | ||||
\(70\) | −0.181652 | + | 0.361009i | −0.0217115 | + | 0.0431488i | ||||
\(71\) | 0.317883i | 0.0377258i | 0.999822 | + | 0.0188629i | \(0.00600460\pi\) | ||||
−0.999822 | + | 0.0188629i | \(0.993995\pi\) | |||||||
\(72\) | 2.31318 | + | 1.62764i | 0.272611 | + | 0.191819i | ||||
\(73\) | − | 1.33897i | − | 0.156715i | −0.996925 | − | 0.0783573i | \(-0.975032\pi\) | ||
0.996925 | − | 0.0783573i | \(-0.0249675\pi\) | |||||||
\(74\) | 10.6969 | + | 5.38244i | 1.24349 | + | 0.625696i | ||||
\(75\) | −1.24977 | − | 1.24977i | −0.144311 | − | 0.144311i | ||||
\(76\) | −0.894263 | + | 6.04057i | −0.102579 | + | 0.692901i | ||||
\(77\) | −0.603650 | + | 0.603650i | −0.0687923 | + | 0.0687923i | ||||
\(78\) | −2.64369 | − | 7.99872i | −0.299339 | − | 0.905677i | ||||
\(79\) | −9.69382 | −1.09064 | −0.545320 | − | 0.838228i | \(-0.683592\pi\) | ||||
−0.545320 | + | 0.838228i | \(0.683592\pi\) | |||||||
\(80\) | 6.34059 | − | 3.39380i | 0.708900 | − | 0.379438i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 1.15551 | + | 3.49611i | 0.127605 | + | 0.386081i | ||||
\(83\) | 0.115816 | − | 0.115816i | 0.0127125 | − | 0.0127125i | −0.700722 | − | 0.713434i | \(-0.747139\pi\) |
0.713434 | + | 0.700722i | \(0.247139\pi\) | |||||||
\(84\) | −0.314456 | − | 0.0465529i | −0.0343100 | − | 0.00507934i | ||||
\(85\) | 3.88163 | + | 3.88163i | 0.421022 | + | 0.421022i | ||||
\(86\) | −10.2814 | − | 5.17338i | −1.10867 | − | 0.557860i | ||||
\(87\) | − | 2.96951i | − | 0.318364i | ||||||
\(88\) | 14.9670 | − | 2.60365i | 1.59548 | − | 0.277550i | ||||
\(89\) | 14.3990i | 1.52629i | 0.646225 | + | 0.763147i | \(0.276347\pi\) | ||||
−0.646225 | + | 0.763147i | \(0.723653\pi\) | |||||||
\(90\) | −1.14288 | + | 2.27133i | −0.120470 | + | 0.239419i | ||||
\(91\) | 0.669485 | + | 0.669485i | 0.0701811 | + | 0.0701811i | ||||
\(92\) | 3.37109 | + | 4.54266i | 0.351460 | + | 0.473605i | ||||
\(93\) | 2.94082 | − | 2.94082i | 0.304948 | − | 0.304948i | ||||
\(94\) | 3.79793 | − | 1.25527i | 0.391727 | − | 0.129471i | ||||
\(95\) | −5.48946 | −0.563206 | ||||||||
\(96\) | 4.09976 | + | 3.89769i | 0.418430 | + | 0.397806i | ||||
\(97\) | −0.571533 | −0.0580304 | −0.0290152 | − | 0.999579i | \(-0.509237\pi\) | ||||
−0.0290152 | + | 0.999579i | \(0.509237\pi\) | |||||||
\(98\) | −9.36548 | + | 3.09543i | −0.946057 | + | 0.312685i | ||||
\(99\) | −3.79793 | + | 3.79793i | −0.381707 | + | 0.381707i | ||||
\(100\) | −2.10654 | − | 2.83863i | −0.210654 | − | 0.283863i | ||||
\(101\) | −7.15296 | − | 7.15296i | −0.711746 | − | 0.711746i | 0.255154 | − | 0.966900i | \(-0.417874\pi\) |
−0.966900 | + | 0.255154i | \(0.917874\pi\) | |||||||
\(102\) | −1.94082 | + | 3.85712i | −0.192169 | + | 0.381911i | ||||
\(103\) | − | 11.3507i | − | 1.11841i | −0.829028 | − | 0.559207i | \(-0.811106\pi\) | ||
0.829028 | − | 0.559207i | \(-0.188894\pi\) | |||||||
\(104\) | −2.88761 | − | 16.5993i | −0.283154 | − | 1.62769i | ||||
\(105\) | − | 0.285766i | − | 0.0278879i | ||||||
\(106\) | −6.35503 | − | 3.19771i | −0.617255 | − | 0.310589i | ||||
\(107\) | −0.722018 | − | 0.722018i | −0.0698001 | − | 0.0698001i | 0.671345 | − | 0.741145i | \(-0.265717\pi\) |
−0.741145 | + | 0.671345i | \(0.765717\pi\) | |||||||
\(108\) | −1.97844 | − | 0.292893i | −0.190375 | − | 0.0281837i | ||||
\(109\) | −1.44471 | + | 1.44471i | −0.138378 | + | 0.138378i | −0.772903 | − | 0.634525i | \(-0.781196\pi\) |
0.634525 | + | 0.772903i | \(0.281196\pi\) | |||||||
\(110\) | 4.28577 | + | 12.9670i | 0.408632 | + | 1.23635i | ||||
\(111\) | −8.46742 | −0.803692 | ||||||||
\(112\) | −0.608497 | − | 0.184204i | −0.0574975 | − | 0.0174057i | ||||
\(113\) | −3.53488 | −0.332533 | −0.166267 | − | 0.986081i | \(-0.553171\pi\) | ||||
−0.166267 | + | 0.986081i | \(0.553171\pi\) | |||||||
\(114\) | −1.35503 | − | 4.09976i | −0.126910 | − | 0.383977i | ||||
\(115\) | −3.59587 | + | 3.59587i | −0.335316 | + | 0.335316i | ||||
\(116\) | 0.869748 | − | 5.87498i | 0.0807541 | − | 0.545478i | ||||
\(117\) | 4.21215 | + | 4.21215i | 0.389413 | + | 0.389413i | ||||
\(118\) | −7.14631 | − | 3.59587i | −0.657871 | − | 0.331026i | ||||
\(119\) | − | 0.485281i | − | 0.0444857i | ||||||
\(120\) | −2.92638 | + | 4.15894i | −0.267141 | + | 0.379658i | ||||
\(121\) | 17.8486i | 1.62260i | ||||||||
\(122\) | −3.29874 | + | 6.55582i | −0.298654 | + | 0.593536i | ||||
\(123\) | −1.84106 | − | 1.84106i | −0.166003 | − | 0.166003i | ||||
\(124\) | 6.67956 | − | 4.95687i | 0.599843 | − | 0.445140i | ||||
\(125\) | 8.60365 | − | 8.60365i | 0.769534 | − | 0.769534i | ||||
\(126\) | 0.213422 | − | 0.0705392i | 0.0190132 | − | 0.00628413i | ||||
\(127\) | −1.49791 | −0.132918 | −0.0664591 | − | 0.997789i | \(-0.521170\pi\) | ||||
−0.0664591 | + | 0.997789i | \(0.521170\pi\) | |||||||
\(128\) | 6.96951 | + | 8.91213i | 0.616023 | + | 0.787728i | ||||
\(129\) | 8.13853 | 0.716557 | ||||||||
\(130\) | 14.3812 | − | 4.75318i | 1.26131 | − | 0.416882i | ||||
\(131\) | 10.4243 | − | 10.4243i | 0.910775 | − | 0.910775i | −0.0855585 | − | 0.996333i | \(-0.527267\pi\) |
0.996333 | + | 0.0855585i | \(0.0272675\pi\) | |||||||
\(132\) | −8.62636 | + | 6.40158i | −0.750828 | + | 0.557186i | ||||
\(133\) | 0.343146 | + | 0.343146i | 0.0297545 | + | 0.0297545i | ||||
\(134\) | −0.689901 | + | 1.37109i | −0.0595984 | + | 0.118444i | ||||
\(135\) | − | 1.79793i | − | 0.154741i | ||||||
\(136\) | −4.96951 | + | 7.06261i | −0.426132 | + | 0.605614i | ||||
\(137\) | − | 13.7954i | − | 1.17862i | −0.807907 | − | 0.589309i | \(-0.799400\pi\) | ||
0.807907 | − | 0.589309i | \(-0.200600\pi\) | |||||||
\(138\) | −3.57316 | − | 1.79793i | −0.304167 | − | 0.153050i | ||||
\(139\) | −2.42429 | − | 2.42429i | −0.205626 | − | 0.205626i | 0.596779 | − | 0.802405i | \(-0.296447\pi\) |
−0.802405 | + | 0.596779i | \(0.796447\pi\) | |||||||
\(140\) | 0.0836990 | − | 0.565371i | 0.00707386 | − | 0.0477826i | ||||
\(141\) | −2.00000 | + | 2.00000i | −0.168430 | + | 0.168430i | ||||
\(142\) | −0.141078 | − | 0.426845i | −0.0118390 | − | 0.0358200i | ||||
\(143\) | 31.9949 | 2.67555 | ||||||||
\(144\) | −3.82843 | − | 1.15894i | −0.319036 | − | 0.0965785i | ||||
\(145\) | 5.33897 | 0.443377 | ||||||||
\(146\) | 0.594243 | + | 1.79793i | 0.0491799 | + | 0.148798i | ||||
\(147\) | 4.93188 | − | 4.93188i | 0.406775 | − | 0.406775i | ||||
\(148\) | −16.7523 | − | 2.48005i | −1.37703 | − | 0.203859i | ||||
\(149\) | 2.92818 | + | 2.92818i | 0.239886 | + | 0.239886i | 0.816803 | − | 0.576917i | \(-0.195744\pi\) |
−0.576917 | + | 0.816803i | \(0.695744\pi\) | |||||||
\(150\) | 2.23281 | + | 1.12350i | 0.182308 | + | 0.0917333i | ||||
\(151\) | 22.6644i | 1.84440i | 0.386712 | + | 0.922201i | \(0.373611\pi\) | ||||
−0.386712 | + | 0.922201i | \(0.626389\pi\) | |||||||
\(152\) | −1.48005 | − | 8.50799i | −0.120048 | − | 0.690089i | ||||
\(153\) | − | 3.05320i | − | 0.246837i | ||||||
\(154\) | 0.542661 | − | 1.07847i | 0.0437288 | − | 0.0869053i | ||||
\(155\) | 5.28739 | + | 5.28739i | 0.424693 | + | 0.424693i | ||||
\(156\) | 7.09976 | + | 9.56718i | 0.568436 | + | 0.765987i | ||||
\(157\) | −2.78007 | + | 2.78007i | −0.221874 | + | 0.221874i | −0.809287 | − | 0.587413i | \(-0.800146\pi\) |
0.587413 | + | 0.809287i | \(0.300146\pi\) | |||||||
\(158\) | 13.0166 | − | 4.30217i | 1.03554 | − | 0.342262i | ||||
\(159\) | 5.03049 | 0.398944 | ||||||||
\(160\) | −7.00778 | + | 7.37109i | −0.554014 | + | 0.582736i | ||||
\(161\) | 0.449555 | 0.0354299 | ||||||||
\(162\) | 1.34277 | − | 0.443806i | 0.105498 | − | 0.0348687i | ||||
\(163\) | −5.43692 | + | 5.43692i | −0.425853 | + | 0.425853i | −0.887213 | − | 0.461360i | \(-0.847362\pi\) |
0.461360 | + | 0.887213i | \(0.347362\pi\) | |||||||
\(164\) | −3.10318 | − | 4.18165i | −0.242318 | − | 0.326532i | ||||
\(165\) | −6.82843 | − | 6.82843i | −0.531592 | − | 0.531592i | ||||
\(166\) | −0.104115 | + | 0.206914i | −0.00808086 | + | 0.0160597i | ||||
\(167\) | − | 3.95458i | − | 0.306015i | −0.988225 | − | 0.153007i | \(-0.951104\pi\) | ||
0.988225 | − | 0.153007i | \(-0.0488958\pi\) | |||||||
\(168\) | 0.442903 | − | 0.0770474i | 0.0341707 | − | 0.00594434i | ||||
\(169\) | − | 22.4844i | − | 1.72957i | ||||||
\(170\) | −6.93484 | − | 3.48946i | −0.531878 | − | 0.267629i | ||||
\(171\) | 2.15894 | + | 2.15894i | 0.165098 | + | 0.165098i | ||||
\(172\) | 16.1016 | + | 2.38372i | 1.22773 | + | 0.181757i | ||||
\(173\) | −15.9814 | + | 15.9814i | −1.21504 | + | 1.21504i | −0.245695 | + | 0.969347i | \(0.579016\pi\) |
−0.969347 | + | 0.245695i | \(0.920984\pi\) | |||||||
\(174\) | 1.31788 | + | 3.98737i | 0.0999085 | + | 0.302282i | ||||
\(175\) | −0.280920 | −0.0212355 | ||||||||
\(176\) | −18.9417 | + | 10.1385i | −1.42778 | + | 0.764220i | ||||
\(177\) | 5.65685 | 0.425195 | ||||||||
\(178\) | −6.39037 | − | 19.3346i | −0.478979 | − | 1.44919i | ||||
\(179\) | −12.2316 | + | 12.2316i | −0.914235 | + | 0.914235i | −0.996602 | − | 0.0823670i | \(-0.973752\pi\) |
0.0823670 | + | 0.996602i | \(0.473752\pi\) | |||||||
\(180\) | 0.526602 | − | 3.55710i | 0.0392506 | − | 0.265130i | ||||
\(181\) | 5.76259 | + | 5.76259i | 0.428330 | + | 0.428330i | 0.888059 | − | 0.459729i | \(-0.152054\pi\) |
−0.459729 | + | 0.888059i | \(0.652054\pi\) | |||||||
\(182\) | −1.19609 | − | 0.601845i | −0.0886599 | − | 0.0446117i | ||||
\(183\) | − | 5.18944i | − | 0.383614i | ||||||
\(184\) | −6.54266 | − | 4.60365i | −0.482331 | − | 0.339386i | ||||
\(185\) | − | 15.2238i | − | 1.11928i | ||||||
\(186\) | −2.64369 | + | 5.25400i | −0.193845 | + | 0.385242i | ||||
\(187\) | −11.5959 | − | 11.5959i | −0.847974 | − | 0.847974i | ||||
\(188\) | −4.54266 | + | 3.37109i | −0.331308 | + | 0.245862i | ||||
\(189\) | −0.112389 | + | 0.112389i | −0.00817508 | + | 0.00817508i | ||||
\(190\) | 7.37109 | − | 2.43625i | 0.534755 | − | 0.176744i | ||||
\(191\) | −16.1674 | −1.16983 | −0.584916 | − | 0.811094i | \(-0.698873\pi\) | ||||
−0.584916 | + | 0.811094i | \(0.698873\pi\) | |||||||
\(192\) | −7.23486 | − | 3.41421i | −0.522131 | − | 0.246400i | ||||
\(193\) | −22.1454 | −1.59406 | −0.797030 | − | 0.603940i | \(-0.793597\pi\) | ||||
−0.797030 | + | 0.603940i | \(0.793597\pi\) | |||||||
\(194\) | 0.767438 | − | 0.253649i | 0.0550989 | − | 0.0182110i | ||||
\(195\) | −7.57316 | + | 7.57316i | −0.542325 | + | 0.542325i | ||||
\(196\) | 11.2019 | − | 8.31291i | 0.800138 | − | 0.593779i | ||||
\(197\) | −14.2993 | − | 14.2993i | −1.01878 | − | 1.01878i | −0.999820 | − | 0.0189608i | \(-0.993964\pi\) |
−0.0189608 | − | 0.999820i | \(-0.506036\pi\) | |||||||
\(198\) | 3.41421 | − | 6.78530i | 0.242638 | − | 0.482210i | ||||
\(199\) | 25.0075i | 1.77274i | 0.462981 | + | 0.886368i | \(0.346780\pi\) | ||||
−0.462981 | + | 0.886368i | \(0.653220\pi\) | |||||||
\(200\) | 4.08840 | + | 2.87675i | 0.289094 | + | 0.203417i | ||||
\(201\) | − | 1.08532i | − | 0.0765527i | ||||||
\(202\) | 12.7793 | + | 6.43027i | 0.899150 | + | 0.452432i | ||||
\(203\) | −0.333739 | − | 0.333739i | −0.0234239 | − | 0.0234239i | ||||
\(204\) | 0.894263 | − | 6.04057i | 0.0626109 | − | 0.422925i | ||||
\(205\) | 3.31010 | − | 3.31010i | 0.231187 | − | 0.231187i | ||||
\(206\) | 5.03749 | + | 15.2414i | 0.350979 | + | 1.06192i | ||||
\(207\) | 2.82843 | 0.196589 | ||||||||
\(208\) | 11.2443 | + | 21.0075i | 0.779649 | + | 1.45661i | ||||
\(209\) | 16.3990 | 1.13434 | ||||||||
\(210\) | 0.126825 | + | 0.383719i | 0.00875174 | + | 0.0264791i | ||||
\(211\) | 18.4243 | − | 18.4243i | 1.26838 | − | 1.26838i | 0.321456 | − | 0.946924i | \(-0.395828\pi\) |
0.946924 | − | 0.321456i | \(-0.104172\pi\) | |||||||
\(212\) | 9.95252 | + | 1.47340i | 0.683542 | + | 0.101193i | ||||
\(213\) | 0.224777 | + | 0.224777i | 0.0154015 | + | 0.0154015i | ||||
\(214\) | 1.28994 | + | 0.649070i | 0.0881786 | + | 0.0443695i | ||||
\(215\) | 14.6325i | 0.997930i | ||||||||
\(216\) | 2.78658 | − | 0.484753i | 0.189603 | − | 0.0329832i | ||||
\(217\) | − | 0.661029i | − | 0.0448736i | ||||||
\(218\) | 1.29874 | − | 2.58108i | 0.0879620 | − | 0.174813i | ||||
\(219\) | −0.946795 | − | 0.946795i | −0.0639785 | − | 0.0639785i | ||||
\(220\) | −11.5096 | − | 15.5096i | −0.775978 | − | 1.04566i | ||||
\(221\) | −12.8605 | + | 12.8605i | −0.865094 | + | 0.865094i | ||||
\(222\) | 11.3698 | − | 3.75789i | 0.763092 | − | 0.252213i | ||||
\(223\) | 18.3465 | 1.22857 | 0.614286 | − | 0.789083i | \(-0.289444\pi\) | ||||
0.614286 | + | 0.789083i | \(0.289444\pi\) | |||||||
\(224\) | 0.898823 | − | 0.0227101i | 0.0600551 | − | 0.00151738i | ||||
\(225\) | −1.76744 | −0.117829 | ||||||||
\(226\) | 4.74653 | − | 1.56880i | 0.315735 | − | 0.104355i | ||||
\(227\) | −0.115816 | + | 0.115816i | −0.00768697 | + | 0.00768697i | −0.710940 | − | 0.703253i | \(-0.751730\pi\) |
0.703253 | + | 0.710940i | \(0.251730\pi\) | |||||||
\(228\) | 3.63899 | + | 4.90367i | 0.240998 | + | 0.324753i | ||||
\(229\) | 2.84791 | + | 2.84791i | 0.188195 | + | 0.188195i | 0.794916 | − | 0.606720i | \(-0.207515\pi\) |
−0.606720 | + | 0.794916i | \(0.707515\pi\) | |||||||
\(230\) | 3.23256 | − | 6.42429i | 0.213149 | − | 0.423605i | ||||
\(231\) | 0.853690i | 0.0561687i | ||||||||
\(232\) | 1.43948 | + | 8.27476i | 0.0945062 | + | 0.543264i | ||||
\(233\) | 11.7211i | 0.767874i | 0.923359 | + | 0.383937i | \(0.125432\pi\) | ||||
−0.923359 | + | 0.383937i | \(0.874568\pi\) | |||||||
\(234\) | −7.52533 | − | 3.78658i | −0.491946 | − | 0.247536i | ||||
\(235\) | −3.59587 | − | 3.59587i | −0.234568 | − | 0.234568i | ||||
\(236\) | 11.1917 | + | 1.65685i | 0.728520 | + | 0.107852i | ||||
\(237\) | −6.85456 | + | 6.85456i | −0.445252 | + | 0.445252i | ||||
\(238\) | 0.215371 | + | 0.651622i | 0.0139604 | + | 0.0422384i | ||||
\(239\) | −13.6517 | −0.883058 | −0.441529 | − | 0.897247i | \(-0.645564\pi\) | ||||
−0.441529 | + | 0.897247i | \(0.645564\pi\) | |||||||
\(240\) | 2.08370 | − | 6.88325i | 0.134502 | − | 0.444312i | ||||
\(241\) | 2.13167 | 0.137313 | 0.0686565 | − | 0.997640i | \(-0.478129\pi\) | ||||
0.0686565 | + | 0.997640i | \(0.478129\pi\) | |||||||
\(242\) | −7.92130 | − | 23.9666i | −0.509201 | − | 1.54063i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 1.51995 | − | 10.2670i | 0.0973049 | − | 0.657276i | ||||
\(245\) | 8.86720 | + | 8.86720i | 0.566504 | + | 0.566504i | ||||
\(246\) | 3.28919 | + | 1.65505i | 0.209711 | + | 0.105522i | ||||
\(247\) | − | 18.1876i | − | 1.15725i | ||||||
\(248\) | −6.76924 | + | 9.62038i | −0.429847 | + | 0.610895i | ||||
\(249\) | − | 0.163788i | − | 0.0103797i | ||||||
\(250\) | −7.73439 | + | 15.3711i | −0.489166 | + | 0.972153i | ||||
\(251\) | −4.43370 | − | 4.43370i | −0.279853 | − | 0.279853i | 0.553198 | − | 0.833050i | \(-0.313407\pi\) |
−0.833050 | + | 0.553198i | \(0.813407\pi\) | |||||||
\(252\) | −0.255272 | + | 0.189436i | −0.0160806 | + | 0.0119334i | ||||
\(253\) | 10.7422 | − | 10.7422i | 0.675355 | − | 0.675355i | ||||
\(254\) | 2.01136 | − | 0.664782i | 0.126204 | − | 0.0417121i | ||||
\(255\) | 5.48946 | 0.343763 | ||||||||
\(256\) | −13.3137 | − | 8.87385i | −0.832107 | − | 0.554615i | ||||
\(257\) | 15.0853 | 0.940997 | 0.470498 | − | 0.882401i | \(-0.344074\pi\) | ||||
0.470498 | + | 0.882401i | \(0.344074\pi\) | |||||||
\(258\) | −10.9282 | + | 3.61192i | −0.680359 | + | 0.224869i | ||||
\(259\) | −0.951642 | + | 0.951642i | −0.0591322 | + | 0.0591322i | ||||
\(260\) | −17.2011 | + | 12.7649i | −1.06677 | + | 0.791645i | ||||
\(261\) | −2.09976 | − | 2.09976i | −0.129972 | − | 0.129972i | ||||
\(262\) | −9.37109 | + | 18.6238i | −0.578948 | + | 1.15058i | ||||
\(263\) | − | 26.1706i | − | 1.61375i | −0.590722 | − | 0.806875i | \(-0.701157\pi\) | ||
0.590722 | − | 0.806875i | \(-0.298843\pi\) | |||||||
\(264\) | 8.74218 | − | 12.4243i | 0.538044 | − | 0.764662i | ||||
\(265\) | 9.04449i | 0.555599i | ||||||||
\(266\) | −0.613057 | − | 0.308476i | −0.0375889 | − | 0.0189139i | ||||
\(267\) | 10.1817 | + | 10.1817i | 0.623107 | + | 0.623107i | ||||
\(268\) | 0.317883 | − | 2.14724i | 0.0194178 | − | 0.131164i | ||||
\(269\) | 8.59700 | − | 8.59700i | 0.524168 | − | 0.524168i | −0.394659 | − | 0.918828i | \(-0.629137\pi\) |
0.918828 | + | 0.394659i | \(0.129137\pi\) | |||||||
\(270\) | 0.797933 | + | 2.41421i | 0.0485606 | + | 0.146924i | ||||
\(271\) | 10.6644 | 0.647815 | 0.323907 | − | 0.946089i | \(-0.395003\pi\) | ||||
0.323907 | + | 0.946089i | \(0.395003\pi\) | |||||||
\(272\) | 3.53849 | − | 11.6890i | 0.214552 | − | 0.708748i | ||||
\(273\) | 0.946795 | 0.0573027 | ||||||||
\(274\) | 6.12247 | + | 18.5240i | 0.369872 | + | 1.11908i | ||||
\(275\) | −6.71261 | + | 6.71261i | −0.404786 | + | 0.404786i | ||||
\(276\) | 5.59587 | + | 0.828427i | 0.336832 | + | 0.0498655i | ||||
\(277\) | −2.66170 | − | 2.66170i | −0.159926 | − | 0.159926i | 0.622608 | − | 0.782534i | \(-0.286073\pi\) |
−0.782534 | + | 0.622608i | \(0.786073\pi\) | |||||||
\(278\) | 4.33119 | + | 2.17936i | 0.259767 | + | 0.130709i | ||||
\(279\) | − | 4.15894i | − | 0.248989i | ||||||
\(280\) | 0.138526 | + | 0.796310i | 0.00827851 | + | 0.0475886i | ||||
\(281\) | 10.4496i | 0.623368i | 0.950186 | + | 0.311684i | \(0.100893\pi\) | ||||
−0.950186 | + | 0.311684i | \(0.899107\pi\) | |||||||
\(282\) | 1.79793 | − | 3.57316i | 0.107065 | − | 0.212778i | ||||
\(283\) | −12.4853 | − | 12.4853i | −0.742173 | − | 0.742173i | 0.230823 | − | 0.972996i | \(-0.425858\pi\) |
−0.972996 | + | 0.230823i | \(0.925858\pi\) | |||||||
\(284\) | 0.378872 | + | 0.510544i | 0.0224819 | + | 0.0302952i | ||||
\(285\) | −3.88163 | + | 3.88163i | −0.229928 | + | 0.229928i | ||||
\(286\) | −42.9618 | + | 14.1995i | −2.54039 | + | 0.839635i | ||||
\(287\) | −0.413828 | −0.0244275 | ||||||||
\(288\) | 5.65505 | − | 0.142883i | 0.333227 | − | 0.00841947i | ||||
\(289\) | −7.67794 | −0.451644 | ||||||||
\(290\) | −7.16902 | + | 2.36947i | −0.420979 | + | 0.139140i | ||||
\(291\) | −0.404135 | + | 0.404135i | −0.0236908 | + | 0.0236908i | ||||
\(292\) | −1.59587 | − | 2.15049i | −0.0933910 | − | 0.125848i | ||||
\(293\) | 21.7410 | + | 21.7410i | 1.27013 | + | 1.27013i | 0.946022 | + | 0.324104i | \(0.105063\pi\) |
0.324104 | + | 0.946022i | \(0.394937\pi\) | |||||||
\(294\) | −4.43360 | + | 8.81119i | −0.258573 | + | 0.513879i | ||||
\(295\) | 10.1706i | 0.592158i | ||||||||
\(296\) | 23.5951 | − | 4.10460i | 1.37144 | − | 0.238575i | ||||
\(297\) | 5.37109i | 0.311662i | ||||||||
\(298\) | −5.23143 | − | 2.63234i | −0.303049 | − | 0.152487i | ||||
\(299\) | −11.9137 | − | 11.9137i | −0.688990 | − | 0.688990i | ||||
\(300\) | −3.49677 | − | 0.517671i | −0.201886 | − | 0.0298877i | ||||
\(301\) | 0.914679 | − | 0.914679i | 0.0527212 | − | 0.0527212i | ||||
\(302\) | −10.0586 | − | 30.4331i | −0.578806 | − | 1.75123i | ||||
\(303\) | −10.1158 | −0.581138 | ||||||||
\(304\) | 5.76326 | + | 10.7674i | 0.330546 | + | 0.617555i | ||||
\(305\) | 9.33026 | 0.534249 | ||||||||
\(306\) | 1.35503 | + | 4.09976i | 0.0774619 | + | 0.234368i | ||||
\(307\) | 15.0601 | − | 15.0601i | 0.859523 | − | 0.859523i | −0.131759 | − | 0.991282i | \(-0.542062\pi\) |
0.991282 | + | 0.131759i | \(0.0420624\pi\) | |||||||
\(308\) | −0.250040 | + | 1.68897i | −0.0142473 | + | 0.0962381i | ||||
\(309\) | −8.02614 | − | 8.02614i | −0.456591 | − | 0.456591i | ||||
\(310\) | −9.44633 | − | 4.75318i | −0.536516 | − | 0.269963i | ||||
\(311\) | − | 1.77883i | − | 0.100868i | −0.998727 | − | 0.0504342i | \(-0.983939\pi\) | ||
0.998727 | − | 0.0504342i | \(-0.0160605\pi\) | |||||||
\(312\) | −13.7793 | − | 9.69562i | −0.780100 | − | 0.548907i | ||||
\(313\) | − | 2.70320i | − | 0.152794i | −0.997077 | − | 0.0763971i | \(-0.975658\pi\) | ||
0.997077 | − | 0.0763971i | \(-0.0243417\pi\) | |||||||
\(314\) | 2.49919 | − | 4.96681i | 0.141037 | − | 0.280293i | ||||
\(315\) | −0.202067 | − | 0.202067i | −0.0113852 | − | 0.0113852i | ||||
\(316\) | −15.5690 | + | 11.5537i | −0.875824 | + | 0.649945i | ||||
\(317\) | 15.6025 | − | 15.6025i | 0.876325 | − | 0.876325i | −0.116828 | − | 0.993152i | \(-0.537272\pi\) |
0.993152 | + | 0.116828i | \(0.0372725\pi\) | |||||||
\(318\) | −6.75481 | + | 2.23256i | −0.378791 | + | 0.125196i | ||||
\(319\) | −15.9495 | −0.892999 | ||||||||
\(320\) | 6.13853 | − | 13.0078i | 0.343154 | − | 0.727157i | ||||
\(321\) | −1.02109 | −0.0569916 | ||||||||
\(322\) | −0.603650 | + | 0.199515i | −0.0336401 | + | 0.0111185i | ||||
\(323\) | −6.59169 | + | 6.59169i | −0.366771 | + | 0.366771i | ||||
\(324\) | −1.60607 | + | 1.19186i | −0.0892263 | + | 0.0662144i | ||||
\(325\) | 7.44471 | + | 7.44471i | 0.412958 | + | 0.412958i | ||||
\(326\) | 4.88761 | − | 9.71349i | 0.270700 | − | 0.537980i | ||||
\(327\) | 2.04313i | 0.112985i | ||||||||
\(328\) | 6.02271 | + | 4.23779i | 0.332549 | + | 0.233993i | ||||
\(329\) | 0.449555i | 0.0247848i | ||||||||
\(330\) | 12.1995 | + | 6.13853i | 0.671561 | + | 0.337915i | ||||
\(331\) | 15.4454 | + | 15.4454i | 0.848955 | + | 0.848955i | 0.990003 | − | 0.141048i | \(-0.0450472\pi\) |
−0.141048 | + | 0.990003i | \(0.545047\pi\) | |||||||
\(332\) | 0.0479725 | − | 0.324045i | 0.00263284 | − | 0.0177843i | ||||
\(333\) | −5.98737 | + | 5.98737i | −0.328106 | + | 0.328106i | ||||
\(334\) | 1.75506 | + | 5.31010i | 0.0960329 | + | 0.290556i | ||||
\(335\) | 1.95133 | 0.106613 | ||||||||
\(336\) | −0.560524 | + | 0.300020i | −0.0305791 | + | 0.0163674i | ||||
\(337\) | −18.8738 | −1.02812 | −0.514062 | − | 0.857753i | \(-0.671860\pi\) | ||||
−0.514062 | + | 0.857753i | \(0.671860\pi\) | |||||||
\(338\) | 9.97868 | + | 30.1914i | 0.542769 | + | 1.64219i | ||||
\(339\) | −2.49954 | + | 2.49954i | −0.135756 | + | 0.135756i | ||||
\(340\) | 10.8605 | + | 1.60782i | 0.588996 | + | 0.0871965i | ||||
\(341\) | −15.7954 | − | 15.7954i | −0.855368 | − | 0.855368i | ||||
\(342\) | −3.85712 | − | 1.94082i | −0.208569 | − | 0.104947i | ||||
\(343\) | − | 2.22117i | − | 0.119932i | ||||||
\(344\) | −22.6786 | + | 3.94517i | −1.22275 | + | 0.212709i | ||||
\(345\) | 5.08532i | 0.273785i | ||||||||
\(346\) | 14.3667 | − | 28.5520i | 0.772360 | − | 1.53496i | ||||
\(347\) | 19.8337 | + | 19.8337i | 1.06473 | + | 1.06473i | 0.997755 | + | 0.0669717i | \(0.0213337\pi\) |
0.0669717 | + | 0.997755i | \(0.478666\pi\) | |||||||
\(348\) | −3.53923 | − | 4.76924i | −0.189723 | − | 0.255658i | ||||
\(349\) | 11.9718 | − | 11.9718i | 0.640836 | − | 0.640836i | −0.309925 | − | 0.950761i | \(-0.600304\pi\) |
0.950761 | + | 0.309925i | \(0.100304\pi\) | |||||||
\(350\) | 0.377211 | − | 0.124674i | 0.0201628 | − | 0.00666409i | ||||
\(351\) | 5.95687 | 0.317954 | ||||||||
\(352\) | 20.9348 | − | 22.0202i | 1.11583 | − | 1.17368i | ||||
\(353\) | −12.6202 | −0.671705 | −0.335853 | − | 0.941915i | \(-0.609024\pi\) | ||||
−0.335853 | + | 0.941915i | \(0.609024\pi\) | |||||||
\(354\) | −7.59587 | + | 2.51054i | −0.403716 | + | 0.133434i | ||||
\(355\) | −0.404135 | + | 0.404135i | −0.0214492 | + | 0.0214492i | ||||
\(356\) | 17.1616 | + | 23.1259i | 0.909564 | + | 1.22567i | ||||
\(357\) | −0.343146 | − | 0.343146i | −0.0181612 | − | 0.0181612i | ||||
\(358\) | 10.9958 | − | 21.8528i | 0.581147 | − | 1.15495i | ||||
\(359\) | − | 27.0867i | − | 1.42958i | −0.699339 | − | 0.714790i | \(-0.746522\pi\) | ||
0.699339 | − | 0.714790i | \(-0.253478\pi\) | |||||||
\(360\) | 0.871553 | + | 5.01008i | 0.0459349 | + | 0.264054i | ||||
\(361\) | 9.67794i | 0.509365i | ||||||||
\(362\) | −10.2953 | − | 5.18038i | −0.541110 | − | 0.272274i | ||||
\(363\) | 12.6209 | + | 12.6209i | 0.662423 | + | 0.662423i | ||||
\(364\) | 1.87318 | + | 0.277310i | 0.0981811 | + | 0.0145350i | ||||
\(365\) | 1.70227 | − | 1.70227i | 0.0891011 | − | 0.0891011i | ||||
\(366\) | 2.30310 | + | 6.96823i | 0.120385 | + | 0.364235i | ||||
\(367\) | −20.4937 | −1.06976 | −0.534882 | − | 0.844927i | \(-0.679644\pi\) | ||||
−0.534882 | + | 0.844927i | \(0.679644\pi\) | |||||||
\(368\) | 10.8284 | + | 3.27798i | 0.564471 | + | 0.170877i | ||||
\(369\) | −2.60365 | −0.135541 | ||||||||
\(370\) | 6.75643 | + | 20.4422i | 0.351250 | + | 1.06274i | ||||
\(371\) | 0.565371 | − | 0.565371i | 0.0293526 | − | 0.0293526i | ||||
\(372\) | 1.21813 | − | 8.22820i | 0.0631569 | − | 0.426613i | ||||
\(373\) | 1.03372 | + | 1.03372i | 0.0535239 | + | 0.0535239i | 0.733362 | − | 0.679838i | \(-0.237950\pi\) |
−0.679838 | + | 0.733362i | \(0.737950\pi\) | |||||||
\(374\) | 20.7169 | + | 10.4243i | 1.07125 | + | 0.539027i | ||||
\(375\) | − | 12.1674i | − | 0.628322i | ||||||
\(376\) | 4.60365 | − | 6.54266i | 0.237415 | − | 0.337412i | ||||
\(377\) | 17.6890i | 0.911028i | ||||||||
\(378\) | 0.101034 | − | 0.200791i | 0.00519661 | − | 0.0103276i | ||||
\(379\) | 17.6686 | + | 17.6686i | 0.907573 | + | 0.907573i | 0.996076 | − | 0.0885032i | \(-0.0282083\pi\) |
−0.0885032 | + | 0.996076i | \(0.528208\pi\) | |||||||
\(380\) | −8.81647 | + | 6.54266i | −0.452275 | + | 0.335631i | ||||
\(381\) | −1.05918 | + | 1.05918i | −0.0542636 | + | 0.0542636i | ||||
\(382\) | 21.7091 | − | 7.17518i | 1.11074 | − | 0.367114i | ||||
\(383\) | −31.0958 | −1.58892 | −0.794460 | − | 0.607316i | \(-0.792246\pi\) | ||||
−0.794460 | + | 0.607316i | \(0.792246\pi\) | |||||||
\(384\) | 11.2300 | + | 1.37364i | 0.573079 | + | 0.0700983i | ||||
\(385\) | −1.53488 | −0.0782245 | ||||||||
\(386\) | 29.7362 | − | 9.82824i | 1.51353 | − | 0.500244i | ||||
\(387\) | 5.75481 | − | 5.75481i | 0.292533 | − | 0.292533i | ||||
\(388\) | −0.917923 | + | 0.681187i | −0.0466005 | + | 0.0345820i | ||||
\(389\) | −2.56127 | − | 2.56127i | −0.129862 | − | 0.129862i | 0.639188 | − | 0.769050i | \(-0.279270\pi\) |
−0.769050 | + | 0.639188i | \(0.779270\pi\) | |||||||
\(390\) | 6.80801 | − | 13.5300i | 0.344737 | − | 0.685120i | ||||
\(391\) | 8.63577i | 0.436729i | ||||||||
\(392\) | −11.3523 | + | 16.1338i | −0.573379 | + | 0.814881i | ||||
\(393\) | − | 14.7422i | − | 0.743644i | ||||||
\(394\) | 25.5468 | + | 12.8546i | 1.28703 | + | 0.647604i | ||||
\(395\) | −12.3240 | − | 12.3240i | −0.620090 | − | 0.620090i | ||||
\(396\) | −1.57316 | + | 10.6264i | −0.0790540 | + | 0.533995i | ||||
\(397\) | −5.09795 | + | 5.09795i | −0.255859 | + | 0.255859i | −0.823367 | − | 0.567509i | \(-0.807907\pi\) |
0.567509 | + | 0.823367i | \(0.307907\pi\) | |||||||
\(398\) | −11.0985 | − | 33.5794i | −0.556317 | − | 1.68318i | ||||
\(399\) | 0.485281 | 0.0242945 | ||||||||
\(400\) | −6.76651 | − | 2.04836i | −0.338325 | − | 0.102418i | ||||
\(401\) | −15.2660 | −0.762349 | −0.381174 | − | 0.924503i | \(-0.624480\pi\) | ||||
−0.381174 | + | 0.924503i | \(0.624480\pi\) | |||||||
\(402\) | 0.481672 | + | 1.45734i | 0.0240236 | + | 0.0726855i | ||||
\(403\) | −17.5181 | + | 17.5181i | −0.872637 | + | 0.872637i | ||||
\(404\) | −20.0135 | − | 2.96285i | −0.995709 | − | 0.147407i | ||||
\(405\) | −1.27133 | − | 1.27133i | −0.0631729 | − | 0.0631729i | ||||
\(406\) | 0.596250 | + | 0.300020i | 0.0295914 | + | 0.0148897i | ||||
\(407\) | 45.4792i | 2.25432i | ||||||||
\(408\) | 1.48005 | + | 8.50799i | 0.0732734 | + | 0.421208i | ||||
\(409\) | − | 11.3779i | − | 0.562603i | −0.959619 | − | 0.281302i | \(-0.909234\pi\) | ||
0.959619 | − | 0.281302i | \(-0.0907661\pi\) | |||||||
\(410\) | −2.97567 | + | 5.91375i | −0.146958 | + | 0.292059i | ||||
\(411\) | −9.75481 | − | 9.75481i | −0.481169 | − | 0.481169i | ||||
\(412\) | −13.5284 | − | 18.2300i | −0.666497 | − | 0.898128i | ||||
\(413\) | 0.635767 | − | 0.635767i | 0.0312840 | − | 0.0312840i | ||||
\(414\) | −3.79793 | + | 1.25527i | −0.186658 | + | 0.0616932i | ||||
\(415\) | 0.294481 | 0.0144555 | ||||||||
\(416\) | −24.4217 | − | 23.2181i | −1.19737 | − | 1.13836i | ||||
\(417\) | −3.42847 | −0.167893 | ||||||||
\(418\) | −22.0202 | + | 7.27798i | −1.07704 | + | 0.355978i | ||||
\(419\) | 23.3075 | − | 23.3075i | 1.13865 | − | 1.13865i | 0.149955 | − | 0.988693i | \(-0.452087\pi\) |
0.988693 | − | 0.149955i | \(-0.0479130\pi\) | |||||||
\(420\) | −0.340593 | − | 0.458962i | −0.0166193 | − | 0.0223950i | ||||
\(421\) | −17.6154 | − | 17.6154i | −0.858520 | − | 0.858520i | 0.132644 | − | 0.991164i | \(-0.457653\pi\) |
−0.991164 | + | 0.132644i | \(0.957653\pi\) | |||||||
\(422\) | −16.5628 | + | 32.9164i | −0.806265 | + | 1.60235i | ||||
\(423\) | 2.82843i | 0.137523i | ||||||||
\(424\) | −14.0179 | + | 2.43855i | −0.680768 | + | 0.118426i | ||||
\(425\) | − | 5.39635i | − | 0.261761i | ||||||
\(426\) | −0.401582 | − | 0.202067i | −0.0194567 | − | 0.00979020i | ||||
\(427\) | −0.583234 | − | 0.583234i | −0.0282247 | − | 0.0282247i | ||||
\(428\) | −2.02016 | − | 0.299070i | −0.0976480 | − | 0.0144561i | ||||
\(429\) | 22.6238 | − | 22.6238i | 1.09229 | − | 1.09229i | ||||
\(430\) | −6.49400 | − | 19.6481i | −0.313168 | − | 0.947517i | ||||
\(431\) | 10.3211 | 0.497151 | 0.248576 | − | 0.968612i | \(-0.420038\pi\) | ||||
0.248576 | + | 0.968612i | \(0.420038\pi\) | |||||||
\(432\) | −3.52660 | + | 1.88761i | −0.169674 | + | 0.0908177i | ||||
\(433\) | −15.3137 | −0.735930 | −0.367965 | − | 0.929840i | \(-0.619945\pi\) | ||||
−0.367965 | + | 0.929840i | \(0.619945\pi\) | |||||||
\(434\) | 0.293368 | + | 0.887611i | 0.0140821 | + | 0.0426067i | ||||
\(435\) | 3.77522 | − | 3.77522i | 0.181008 | − | 0.181008i | ||||
\(436\) | −0.598418 | + | 4.04220i | −0.0286590 | + | 0.193586i | ||||
\(437\) | −6.10641 | − | 6.10641i | −0.292109 | − | 0.292109i | ||||
\(438\) | 1.69152 | + | 0.851137i | 0.0808241 | + | 0.0406689i | ||||
\(439\) | − | 22.5735i | − | 1.07738i | −0.842505 | − | 0.538688i | \(-0.818920\pi\) | ||
0.842505 | − | 0.538688i | \(-0.181080\pi\) | |||||||
\(440\) | 22.3380 | + | 15.7178i | 1.06492 | + | 0.749319i | ||||
\(441\) | − | 6.97474i | − | 0.332130i | ||||||
\(442\) | 11.5612 | − | 22.9764i | 0.549910 | − | 1.09287i | ||||
\(443\) | 23.7117 | + | 23.7117i | 1.12658 | + | 1.12658i | 0.990730 | + | 0.135846i | \(0.0433752\pi\) |
0.135846 | + | 0.990730i | \(0.456625\pi\) | |||||||
\(444\) | −13.5993 | + | 10.0920i | −0.645394 | + | 0.478944i | ||||
\(445\) | −18.3059 | + | 18.3059i | −0.867784 | + | 0.867784i | ||||
\(446\) | −24.6352 | + | 8.14228i | −1.16651 | + | 0.385548i | ||||
\(447\) | 4.14108 | 0.195866 | ||||||||
\(448\) | −1.19684 | + | 0.429397i | −0.0565452 | + | 0.0202871i | ||||
\(449\) | −1.75506 | −0.0828266 | −0.0414133 | − | 0.999142i | \(-0.513186\pi\) | ||||
−0.0414133 | + | 0.999142i | \(0.513186\pi\) | |||||||
\(450\) | 2.37327 | − | 0.784399i | 0.111877 | − | 0.0369769i | ||||
\(451\) | −9.88849 | + | 9.88849i | −0.465631 | + | 0.465631i | ||||
\(452\) | −5.67727 | + | 4.21308i | −0.267036 | + | 0.198166i | ||||
\(453\) | 16.0261 | + | 16.0261i | 0.752974 | + | 0.752974i | ||||
\(454\) | 0.104115 | − | 0.206914i | 0.00488634 | − | 0.00971096i | ||||
\(455\) | 1.70227i | 0.0798039i | ||||||||
\(456\) | −7.06261 | − | 4.96951i | −0.330737 | − | 0.232718i | ||||
\(457\) | 26.7422i | 1.25095i | 0.780246 | + | 0.625473i | \(0.215094\pi\) | ||||
−0.780246 | + | 0.625473i | \(0.784906\pi\) | |||||||
\(458\) | −5.08802 | − | 2.56018i | −0.237747 | − | 0.119629i | ||||
\(459\) | −2.15894 | − | 2.15894i | −0.100771 | − | 0.100771i | ||||
\(460\) | −1.48946 | + | 10.0610i | −0.0694463 | + | 0.469096i | ||||
\(461\) | 9.23921 | − | 9.23921i | 0.430313 | − | 0.430313i | −0.458422 | − | 0.888735i | \(-0.651585\pi\) |
0.888735 | + | 0.458422i | \(0.151585\pi\) | |||||||
\(462\) | −0.378872 | − | 1.14631i | −0.0176267 | − | 0.0533312i | ||||
\(463\) | 29.4474 | 1.36854 | 0.684268 | − | 0.729231i | \(-0.260122\pi\) | ||||
0.684268 | + | 0.729231i | \(0.260122\pi\) | |||||||
\(464\) | −5.60527 | − | 10.4723i | −0.260218 | − | 0.486163i | ||||
\(465\) | 7.47750 | 0.346761 | ||||||||
\(466\) | −5.20189 | − | 15.7387i | −0.240973 | − | 0.729083i | ||||
\(467\) | −19.5897 | + | 19.5897i | −0.906503 | + | 0.906503i | −0.995988 | − | 0.0894848i | \(-0.971478\pi\) |
0.0894848 | + | 0.995988i | \(0.471478\pi\) | |||||||
\(468\) | 11.7853 | + | 1.74473i | 0.544776 | + | 0.0806501i | ||||
\(469\) | −0.121978 | − | 0.121978i | −0.00563242 | − | 0.00563242i | ||||
\(470\) | 6.42429 | + | 3.23256i | 0.296331 | + | 0.149107i | ||||
\(471\) | 3.93161i | 0.181159i | ||||||||
\(472\) | −15.7633 | + | 2.74218i | −0.725563 | + | 0.126219i | ||||
\(473\) | − | 43.7127i | − | 2.00991i | ||||||
\(474\) | 6.16202 | − | 12.2462i | 0.283031 | − | 0.562487i | ||||
\(475\) | 3.81580 | + | 3.81580i | 0.175081 | + | 0.175081i | ||||
\(476\) | −0.578387 | − | 0.779397i | −0.0265103 | − | 0.0357236i | ||||
\(477\) | 3.55710 | − | 3.55710i | 0.162868 | − | 0.162868i | ||||
\(478\) | 18.3312 | − | 6.05872i | 0.838449 | − | 0.277120i | ||||
\(479\) | 35.5499 | 1.62432 | 0.812159 | − | 0.583436i | \(-0.198292\pi\) | ||||
0.812159 | + | 0.583436i | \(0.198292\pi\) | |||||||
\(480\) | 0.256894 | + | 10.1674i | 0.0117256 | + | 0.464076i | ||||
\(481\) | 50.4393 | 2.29984 | ||||||||
\(482\) | −2.86235 | + | 0.946048i | −0.130376 | + | 0.0430913i | ||||
\(483\) | 0.317883 | − | 0.317883i | 0.0144642 | − | 0.0144642i | ||||
\(484\) | 21.2730 | + | 28.6661i | 0.966955 | + | 1.30301i | ||||
\(485\) | −0.726607 | − | 0.726607i | −0.0329935 | − | 0.0329935i | ||||
\(486\) | 0.635665 | − | 1.26330i | 0.0288344 | − | 0.0573045i | ||||
\(487\) | 9.86632i | 0.447086i | 0.974694 | + | 0.223543i | \(0.0717623\pi\) | ||||
−0.974694 | + | 0.223543i | \(0.928238\pi\) | |||||||
\(488\) | 2.51559 | + | 14.4608i | 0.113876 | + | 0.654608i | ||||
\(489\) | 7.68897i | 0.347707i | ||||||||
\(490\) | −15.8419 | − | 7.97131i | −0.715666 | − | 0.360107i | ||||
\(491\) | −0.449555 | − | 0.449555i | −0.0202881 | − | 0.0202881i | 0.696890 | − | 0.717178i | \(-0.254567\pi\) |
−0.717178 | + | 0.696890i | \(0.754567\pi\) | |||||||
\(492\) | −5.15116 | − | 0.762591i | −0.232232 | − | 0.0343803i | ||||
\(493\) | 6.41099 | − | 6.41099i | 0.288736 | − | 0.288736i | ||||
\(494\) | 8.07174 | + | 24.4217i | 0.363165 | + | 1.09879i | ||||
\(495\) | −9.65685 | −0.434043 | ||||||||
\(496\) | 4.81997 | − | 15.9222i | 0.216423 | − | 0.714928i | ||||
\(497\) | 0.0505249 | 0.00226635 | ||||||||
\(498\) | 0.0726903 | + | 0.219931i | 0.00325733 | + | 0.00985533i | ||||
\(499\) | 2.70645 | − | 2.70645i | 0.121157 | − | 0.121157i | −0.643928 | − | 0.765086i | \(-0.722697\pi\) |
0.765086 | + | 0.643928i | \(0.222697\pi\) | |||||||
\(500\) | 3.56375 | − | 24.0724i | 0.159376 | − | 1.07655i | ||||
\(501\) | −2.79631 | − | 2.79631i | −0.124930 | − | 0.124930i | ||||
\(502\) | 7.92115 | + | 3.98575i | 0.353538 | + | 0.177893i | ||||
\(503\) | − | 23.6719i | − | 1.05548i | −0.849407 | − | 0.527739i | \(-0.823040\pi\) | ||
0.849407 | − | 0.527739i | \(-0.176960\pi\) | |||||||
\(504\) | 0.258699 | − | 0.367661i | 0.0115234 | − | 0.0163769i | ||||
\(505\) | − | 18.1876i | − | 0.809336i | ||||||
\(506\) | −9.65685 | + | 19.1917i | −0.429300 | + | 0.853176i | ||||
\(507\) | −15.8988 | − | 15.8988i | −0.706092 | − | 0.706092i | ||||
\(508\) | −2.40576 | + | 1.78530i | −0.106738 | + | 0.0792099i | ||||
\(509\) | −24.6052 | + | 24.6052i | −1.09061 | + | 1.09061i | −0.0951425 | + | 0.995464i | \(0.530331\pi\) |
−0.995464 | + | 0.0951425i | \(0.969669\pi\) | |||||||
\(510\) | −7.37109 | + | 2.43625i | −0.326397 | + | 0.107879i | ||||
\(511\) | −0.212818 | −0.00941453 | ||||||||
\(512\) | 21.8155 | + | 6.00685i | 0.964120 | + | 0.265468i | ||||
\(513\) | 3.05320 | 0.134802 | ||||||||
\(514\) | −20.2561 | + | 6.69495i | −0.893460 | + | 0.295302i | ||||
\(515\) | 14.4305 | − | 14.4305i | 0.635882 | − | 0.635882i | ||||
\(516\) | 13.0711 | − | 9.69998i | 0.575422 | − | 0.427018i | ||||
\(517\) | 10.7422 | + | 10.7422i | 0.472440 | + | 0.472440i | ||||
\(518\) | 0.855494 | − | 1.70018i | 0.0375883 | − | 0.0747017i | ||||
\(519\) | 22.6011i | 0.992078i | ||||||||
\(520\) | 17.4321 | − | 24.7743i | 0.764447 | − | 1.08642i | ||||
\(521\) | 14.4889i | 0.634770i | 0.948297 | + | 0.317385i | \(0.102805\pi\) | ||||
−0.948297 | + | 0.317385i | \(0.897195\pi\) | |||||||
\(522\) | 3.75138 | + | 1.88761i | 0.164193 | + | 0.0826185i | ||||
\(523\) | −19.4979 | − | 19.4979i | −0.852584 | − | 0.852584i | 0.137867 | − | 0.990451i | \(-0.455975\pi\) |
−0.990451 | + | 0.137867i | \(0.955975\pi\) | |||||||
\(524\) | 4.31788 | − | 29.1665i | 0.188628 | − | 1.27414i | ||||
\(525\) | −0.198640 | + | 0.198640i | −0.00866937 | + | 0.00866937i | ||||
\(526\) | 11.6147 | + | 35.1412i | 0.506424 | + | 1.53223i | ||||
\(527\) | 12.6981 | 0.553138 | ||||||||
\(528\) | −6.22478 | + | 20.5628i | −0.270899 | + | 0.894882i | ||||
\(529\) | 15.0000 | 0.652174 | ||||||||
\(530\) | −4.01400 | − | 12.1447i | −0.174357 | − | 0.527532i | ||||
\(531\) | 4.00000 | − | 4.00000i | 0.173585 | − | 0.173585i | ||||
\(532\) | 0.960099 | + | 0.142136i | 0.0416256 | + | 0.00616236i | ||||
\(533\) | 10.9670 | + | 10.9670i | 0.475031 | + | 0.475031i | ||||
\(534\) | −18.1903 | − | 9.15296i | −0.787172 | − | 0.396087i | ||||
\(535\) | − | 1.83585i | − | 0.0793706i | ||||||
\(536\) | 0.526113 | + | 3.02433i | 0.0227246 | + | 0.130631i | ||||
\(537\) | 17.2981i | 0.746470i | ||||||||
\(538\) | −7.72841 | + | 15.3592i | −0.333195 | + | 0.662182i | ||||
\(539\) | −26.4896 | − | 26.4896i | −1.14099 | − | 1.14099i | ||||
\(540\) | −2.14288 | − | 2.88761i | −0.0922150 | − | 0.124263i | ||||
\(541\) | −10.0396 | + | 10.0396i | −0.431638 | + | 0.431638i | −0.889185 | − | 0.457547i | \(-0.848728\pi\) |
0.457547 | + | 0.889185i | \(0.348728\pi\) | |||||||
\(542\) | −14.3198 | + | 4.73291i | −0.615089 | + | 0.203296i | ||||
\(543\) | 8.14953 | 0.349730 | ||||||||
\(544\) | 0.436252 | + | 17.2660i | 0.0187041 | + | 0.740275i | ||||
\(545\) | −3.67340 | −0.157351 | ||||||||
\(546\) | −1.27133 | + | 0.420193i | −0.0544079 | + | 0.0179826i | ||||
\(547\) | −7.19884 | + | 7.19884i | −0.307800 | + | 0.307800i | −0.844056 | − | 0.536255i | \(-0.819838\pi\) |
0.536255 | + | 0.844056i | \(0.319838\pi\) | |||||||
\(548\) | −16.4422 | − | 22.1564i | −0.702374 | − | 0.946474i | ||||
\(549\) | −3.66949 | − | 3.66949i | −0.156610 | − | 0.156610i | ||||
\(550\) | 6.03441 | − | 11.9926i | 0.257308 | − | 0.511366i | ||||
\(551\) | 9.06651i | 0.386246i | ||||||||
\(552\) | −7.88163 | + | 1.37109i | −0.335465 | + | 0.0583574i | ||||
\(553\) | 1.54075i | 0.0655194i | ||||||||
\(554\) | 4.75534 | + | 2.39278i | 0.202035 | + | 0.101659i | ||||
\(555\) | −10.7649 | − | 10.7649i | −0.456944 | − | 0.456944i | ||||
\(556\) | −6.78301 | − | 1.00417i | −0.287664 | − | 0.0425865i | ||||
\(557\) | 1.02129 | − | 1.02129i | 0.0432735 | − | 0.0432735i | −0.685139 | − | 0.728412i | \(-0.740259\pi\) |
0.728412 | + | 0.685139i | \(0.240259\pi\) | |||||||
\(558\) | 1.84576 | + | 5.58451i | 0.0781373 | + | 0.236411i | ||||
\(559\) | −48.4802 | −2.05049 | ||||||||
\(560\) | −0.539416 | − | 1.00778i | −0.0227945 | − | 0.0425867i | ||||
\(561\) | −16.3990 | −0.692368 | ||||||||
\(562\) | −4.63757 | − | 14.0314i | −0.195624 | − | 0.591878i | ||||
\(563\) | 6.70751 | − | 6.70751i | 0.282688 | − | 0.282688i | −0.551492 | − | 0.834180i | \(-0.685941\pi\) |
0.834180 | + | 0.551492i | \(0.185941\pi\) | |||||||
\(564\) | −0.828427 | + | 5.59587i | −0.0348831 | + | 0.235628i | ||||
\(565\) | −4.49400 | − | 4.49400i | −0.189064 | − | 0.189064i | ||||
\(566\) | 22.3059 | + | 11.2238i | 0.937588 | + | 0.471774i | ||||
\(567\) | 0.158942i | 0.00667492i | ||||||||
\(568\) | −0.735321 | − | 0.517398i | −0.0308534 | − | 0.0217096i | ||||
\(569\) | 8.98711i | 0.376759i | 0.982096 | + | 0.188380i | \(0.0603235\pi\) | ||||
−0.982096 | + | 0.188380i | \(0.939676\pi\) | |||||||
\(570\) | 3.48946 | − | 6.93484i | 0.146157 | − | 0.290468i | ||||
\(571\) | −9.17157 | − | 9.17157i | −0.383818 | − | 0.383818i | 0.488657 | − | 0.872476i | \(-0.337487\pi\) |
−0.872476 | + | 0.488657i | \(0.837487\pi\) | |||||||
\(572\) | 51.3861 | − | 38.1334i | 2.14856 | − | 1.59444i | ||||
\(573\) | −11.4321 | + | 11.4321i | −0.477582 | + | 0.477582i | ||||
\(574\) | 0.555677 | − | 0.183659i | 0.0231935 | − | 0.00766579i | ||||
\(575\) | 4.99907 | 0.208476 | ||||||||
\(576\) | −7.53003 | + | 2.70160i | −0.313751 | + | 0.112567i | ||||
\(577\) | 29.5013 | 1.22815 | 0.614077 | − | 0.789246i | \(-0.289528\pi\) | ||||
0.614077 | + | 0.789246i | \(0.289528\pi\) | |||||||
\(578\) | 10.3097 | − | 3.40751i | 0.428828 | − | 0.141734i | ||||
\(579\) | −15.6591 | + | 15.6591i | −0.650772 | + | 0.650772i | ||||
\(580\) | 8.57478 | − | 6.36330i | 0.356048 | − | 0.264222i | ||||
\(581\) | −0.0184080 | − | 0.0184080i | −0.000763692 | − | 0.000763692i | ||||
\(582\) | 0.363303 | − | 0.722018i | 0.0150594 | − | 0.0299286i | ||||
\(583\) | − | 27.0192i | − | 1.11902i | ||||||
\(584\) | 3.09728 | + | 2.17936i | 0.128166 | + | 0.0901824i | ||||
\(585\) | 10.7101i | 0.442806i | ||||||||
\(586\) | −38.8421 | − | 19.5445i | −1.60455 | − | 0.807374i | ||||
\(587\) | 1.82425 | + | 1.82425i | 0.0752950 | + | 0.0752950i | 0.743751 | − | 0.668456i | \(-0.233045\pi\) |
−0.668456 | + | 0.743751i | \(0.733045\pi\) | |||||||
\(588\) | 2.04285 | − | 13.7991i | 0.0842459 | − | 0.569064i | ||||
\(589\) | −8.97891 | + | 8.97891i | −0.369970 | + | 0.369970i | ||||
\(590\) | −4.51379 | − | 13.6569i | −0.185830 | − | 0.562244i | ||||
\(591\) | −20.2222 | −0.831831 | ||||||||
\(592\) | −29.8612 | + | 15.9832i | −1.22729 | + | 0.656905i | ||||
\(593\) | −35.4338 | −1.45509 | −0.727546 | − | 0.686058i | \(-0.759339\pi\) | ||||
−0.727546 | + | 0.686058i | \(0.759339\pi\) | |||||||
\(594\) | −2.38372 | − | 7.21215i | −0.0978052 | − | 0.295918i | ||||
\(595\) | 0.616953 | − | 0.616953i | 0.0252926 | − | 0.0252926i | ||||
\(596\) | 8.19286 | + | 1.21289i | 0.335593 | + | 0.0496821i | ||||
\(597\) | 17.6830 | + | 17.6830i | 0.723717 | + | 0.723717i | ||||
\(598\) | 21.2848 | + | 10.7101i | 0.870402 | + | 0.437967i | ||||
\(599\) | 27.1632i | 1.10986i | 0.831897 | + | 0.554930i | \(0.187255\pi\) | ||||
−0.831897 | + | 0.554930i | \(0.812745\pi\) | |||||||
\(600\) | 4.92510 | − | 0.856771i | 0.201067 | − | 0.0349775i | ||||
\(601\) | − | 5.33897i | − | 0.217781i | −0.994054 | − | 0.108891i | \(-0.965270\pi\) | ||
0.994054 | − | 0.108891i | \(-0.0347298\pi\) | |||||||
\(602\) | −0.822265 | + | 1.63414i | −0.0335130 | + | 0.0666027i | ||||
\(603\) | −0.767438 | − | 0.767438i | −0.0312525 | − | 0.0312525i | ||||
\(604\) | 27.0128 | + | 36.4007i | 1.09913 | + | 1.48112i | ||||
\(605\) | −22.6914 | + | 22.6914i | −0.922539 | + | 0.922539i | ||||
\(606\) | 13.5832 | − | 4.48946i | 0.551781 | − | 0.182372i | ||||
\(607\) | 16.1084 | 0.653820 | 0.326910 | − | 0.945055i | \(-0.393993\pi\) | ||||
0.326910 | + | 0.945055i | \(0.393993\pi\) | |||||||
\(608\) | −12.5174 | − | 11.9004i | −0.507648 | − | 0.482627i | ||||
\(609\) | −0.471978 | −0.0191255 | ||||||||
\(610\) | −12.5284 | + | 4.14082i | −0.507260 | + | 0.167657i | ||||
\(611\) | 11.9137 | − | 11.9137i | 0.481979 | − | 0.481979i | ||||
\(612\) | −3.63899 | − | 4.90367i | −0.147097 | − | 0.198219i | ||||
\(613\) | 0.436924 | + | 0.436924i | 0.0176472 | + | 0.0176472i | 0.715875 | − | 0.698228i | \(-0.246028\pi\) |
−0.698228 | + | 0.715875i | \(0.746028\pi\) | |||||||
\(614\) | −13.5385 | + | 26.9060i | −0.546369 | + | 1.08584i | ||||
\(615\) | − | 4.68119i | − | 0.188764i | ||||||
\(616\) | −0.413828 | − | 2.37887i | −0.0166736 | − | 0.0958475i | ||||
\(617\) | − | 8.80641i | − | 0.354533i | −0.984163 | − | 0.177266i | \(-0.943275\pi\) | ||
0.984163 | − | 0.177266i | \(-0.0567254\pi\) | |||||||
\(618\) | 14.3393 | + | 7.21523i | 0.576812 | + | 0.290239i | ||||
\(619\) | 1.92932 | + | 1.92932i | 0.0775458 | + | 0.0775458i | 0.744816 | − | 0.667270i | \(-0.232537\pi\) |
−0.667270 | + | 0.744816i | \(0.732537\pi\) | |||||||
\(620\) | 14.7938 | + | 2.19011i | 0.594132 | + | 0.0879569i | ||||
\(621\) | 2.00000 | − | 2.00000i | 0.0802572 | − | 0.0802572i | ||||
\(622\) | 0.789456 | + | 2.38857i | 0.0316543 | + | 0.0957728i | ||||
\(623\) | 2.28861 | 0.0916910 | ||||||||
\(624\) | 22.8055 | + | 6.90367i | 0.912949 | + | 0.276368i | ||||
\(625\) | 13.0390 | 0.521559 | ||||||||
\(626\) | 1.19970 | + | 3.62979i | 0.0479495 | + | 0.145075i | ||||
\(627\) | 11.5959 | − | 11.5959i | 0.463094 | − | 0.463094i | ||||
\(628\) | −1.15154 | + | 7.77845i | −0.0459515 | + | 0.310394i | ||||
\(629\) | −18.2807 | − | 18.2807i | −0.728898 | − | 0.728898i | ||||
\(630\) | 0.361009 | + | 0.181652i | 0.0143829 | + | 0.00723718i | ||||
\(631\) | − | 38.7864i | − | 1.54406i | −0.635586 | − | 0.772030i | \(-0.719241\pi\) | ||
0.635586 | − | 0.772030i | \(-0.280759\pi\) | |||||||
\(632\) | 15.7780 | − | 22.4235i | 0.627615 | − | 0.891961i | ||||
\(633\) | − | 26.0559i | − | 1.03563i | ||||||
\(634\) | −14.0261 | + | 27.8751i | −0.557049 | + | 1.10706i | ||||
\(635\) | −1.90434 | − | 1.90434i | −0.0755715 | − | 0.0755715i | ||||
\(636\) | 8.07934 | − | 5.99564i | 0.320367 | − | 0.237743i | ||||
\(637\) | −29.3786 | + | 29.3786i | −1.16402 | + | 1.16402i | ||||
\(638\) | 21.4165 | − | 7.07847i | 0.847888 | − | 0.280239i | ||||
\(639\) | 0.317883 | 0.0125753 | ||||||||
\(640\) | −2.46971 | + | 20.1908i | −0.0976240 | + | 0.798111i | ||||
\(641\) | 33.1091 | 1.30773 | 0.653865 | − | 0.756611i | \(-0.273146\pi\) | ||||
0.653865 | + | 0.756611i | \(0.273146\pi\) | |||||||
\(642\) | 1.37109 | − | 0.453164i | 0.0541125 | − | 0.0178850i | ||||
\(643\) | −19.2897 | + | 19.2897i | −0.760711 | + | 0.760711i | −0.976451 | − | 0.215740i | \(-0.930784\pi\) |
0.215740 | + | 0.976451i | \(0.430784\pi\) | |||||||
\(644\) | 0.722018 | − | 0.535806i | 0.0284515 | − | 0.0211137i | ||||
\(645\) | 10.3468 | + | 10.3468i | 0.407403 | + | 0.407403i | ||||
\(646\) | 5.92571 | − | 11.7766i | 0.233144 | − | 0.463343i | ||||
\(647\) | 41.8477i | 1.64520i | 0.568620 | + | 0.822601i | \(0.307478\pi\) | ||||
−0.568620 | + | 0.822601i | \(0.692522\pi\) | |||||||
\(648\) | 1.62764 | − | 2.31318i | 0.0639396 | − | 0.0908703i | ||||
\(649\) | − | 30.3835i | − | 1.19266i | ||||||
\(650\) | −13.3005 | − | 6.69254i | −0.521690 | − | 0.262503i | ||||
\(651\) | −0.467418 | − | 0.467418i | −0.0183196 | − | 0.0183196i | ||||
\(652\) | −2.25205 | + | 15.2121i | −0.0881970 | + | 0.595754i | ||||
\(653\) | 14.7741 | − | 14.7741i | 0.578155 | − | 0.578155i | −0.356240 | − | 0.934395i | \(-0.615941\pi\) |
0.934395 | + | 0.356240i | \(0.115941\pi\) | |||||||
\(654\) | −0.906751 | − | 2.74345i | −0.0354568 | − | 0.107277i | ||||
\(655\) | 26.5054 | 1.03565 | ||||||||
\(656\) | −9.96788 | − | 3.01748i | −0.389180 | − | 0.117813i | ||||
\(657\) | −1.33897 | −0.0522382 | ||||||||
\(658\) | −0.199515 | − | 0.603650i | −0.00777790 | − | 0.0235327i | ||||
\(659\) | −2.22839 | + | 2.22839i | −0.0868056 | + | 0.0868056i | −0.749176 | − | 0.662371i | \(-0.769550\pi\) |
0.662371 | + | 0.749176i | \(0.269550\pi\) | |||||||
\(660\) | −19.1055 | − | 2.82843i | −0.743680 | − | 0.110096i | ||||
\(661\) | −18.0685 | − | 18.0685i | −0.702784 | − | 0.702784i | 0.262223 | − | 0.965007i | \(-0.415544\pi\) |
−0.965007 | + | 0.262223i | \(0.915544\pi\) | |||||||
\(662\) | −27.5944 | − | 13.8849i | −1.07249 | − | 0.539651i | ||||
\(663\) | 18.1876i | 0.706346i | ||||||||
\(664\) | 0.0793969 | + | 0.456409i | 0.00308120 | + | 0.0177121i | ||||
\(665\) | 0.872503i | 0.0338342i | ||||||||
\(666\) | 5.38244 | − | 10.6969i | 0.208565 | − | 0.414496i | ||||
\(667\) | 5.93901 | + | 5.93901i | 0.229959 | + | 0.229959i | ||||
\(668\) | −4.71330 | − | 6.35134i | −0.182363 | − | 0.245741i | ||||
\(669\) | 12.9729 | − | 12.9729i | 0.501563 | − | 0.501563i | ||||
\(670\) | −2.62020 | + | 0.866013i | −0.101227 | + | 0.0334570i | ||||
\(671\) | −27.8729 | −1.07602 | ||||||||
\(672\) | 0.619505 | − | 0.651622i | 0.0238979 | − | 0.0251369i | ||||
\(673\) | 20.7981 | 0.801706 | 0.400853 | − | 0.916142i | \(-0.368714\pi\) | ||||
0.400853 | + | 0.916142i | \(0.368714\pi\) | |||||||
\(674\) | 25.3433 | − | 8.37632i | 0.976186 | − | 0.322644i | ||||
\(675\) | −1.24977 | + | 1.24977i | −0.0481036 | + | 0.0481036i | ||||
\(676\) | −26.7982 | − | 36.1115i | −1.03070 | − | 1.38890i | ||||
\(677\) | 29.0213 | + | 29.0213i | 1.11538 | + | 1.11538i | 0.992411 | + | 0.122968i | \(0.0392413\pi\) |
0.122968 | + | 0.992411i | \(0.460759\pi\) | |||||||
\(678\) | 2.24700 | − | 4.46561i | 0.0862954 | − | 0.171501i | ||||
\(679\) | 0.0908404i | 0.00348613i | ||||||||
\(680\) | −15.2968 | + | 2.66103i | −0.586605 | + | 0.102046i | ||||
\(681\) | 0.163788i | 0.00627639i | ||||||||
\(682\) | 28.2197 | + | 14.1995i | 1.08059 | + | 0.543728i | ||||
\(683\) | −18.7938 | − | 18.7938i | −0.719123 | − | 0.719123i | 0.249303 | − | 0.968426i | \(-0.419799\pi\) |
−0.968426 | + | 0.249303i | \(0.919799\pi\) | |||||||
\(684\) | 6.04057 | + | 0.894263i | 0.230967 | + | 0.0341930i | ||||
\(685\) | 17.5385 | − | 17.5385i | 0.670111 | − | 0.670111i | ||||
\(686\) | 0.985767 | + | 2.98252i | 0.0376368 | + | 0.113873i | ||||
\(687\) | 4.02756 | 0.153661 | ||||||||
\(688\) | 28.7013 | − | 15.3624i | 1.09423 | − | 0.585685i | ||||
\(689\) | −29.9660 | −1.14161 | ||||||||
\(690\) | −2.25689 | − | 6.82843i | −0.0859185 | − | 0.259954i | ||||
\(691\) | 10.4580 | − | 10.4580i | 0.397841 | − | 0.397841i | −0.479630 | − | 0.877471i | \(-0.659229\pi\) |
0.877471 | + | 0.479630i | \(0.159229\pi\) | |||||||
\(692\) | −6.61971 | + | 44.7149i | −0.251644 | + | 1.69980i | ||||
\(693\) | 0.603650 | + | 0.603650i | 0.0229308 | + | 0.0229308i | ||||
\(694\) | −35.4344 | − | 17.8298i | −1.34507 | − | 0.676810i | ||||
\(695\) | − | 6.16415i | − | 0.233820i | ||||||
\(696\) | 6.86900 | + | 4.83327i | 0.260369 | + | 0.183205i | ||||
\(697\) | − | 7.94948i | − | 0.301108i | ||||||
\(698\) | −10.7622 | + | 21.3885i | −0.407357 | + | 0.809569i | ||||
\(699\) | 8.28806 | + | 8.28806i | 0.313483 | + | 0.313483i | ||||
\(700\) | −0.451177 | + | 0.334817i | −0.0170529 | + | 0.0126549i | ||||
\(701\) | 18.3314 | − | 18.3314i | 0.692367 | − | 0.692367i | −0.270385 | − | 0.962752i | \(-0.587151\pi\) |
0.962752 | + | 0.270385i | \(0.0871511\pi\) | |||||||
\(702\) | −7.99872 | + | 2.64369i | −0.301892 | + | 0.0997798i | ||||
\(703\) | 25.8528 | 0.975055 | ||||||||
\(704\) | −18.3380 | + | 38.8590i | −0.691141 | + | 1.46456i | ||||
\(705\) | −5.08532 | −0.191524 | ||||||||
\(706\) | 16.9460 | − | 5.60091i | 0.637773 | − | 0.210793i | ||||
\(707\) | −1.13690 | + | 1.13690i | −0.0427577 | + | 0.0427577i | ||||
\(708\) | 9.08532 | − | 6.74218i | 0.341447 | − | 0.253386i | ||||
\(709\) | 14.5722 | + | 14.5722i | 0.547271 | + | 0.547271i | 0.925650 | − | 0.378380i | \(-0.123519\pi\) |
−0.378380 | + | 0.925650i | \(0.623519\pi\) | |||||||
\(710\) | 0.363303 | − | 0.722018i | 0.0136345 | − | 0.0270969i | ||||
\(711\) | 9.69382i | 0.363547i | ||||||||
\(712\) | −33.3075 | − | 23.4364i | −1.24825 | − | 0.878315i | ||||
\(713\) | 11.7633i | 0.440538i | ||||||||
\(714\) | 0.613057 | + | 0.308476i | 0.0229431 | + | 0.0115444i | ||||
\(715\) | 40.6761 | + | 40.6761i | 1.52120 | + | 1.52120i | ||||
\(716\) | −5.06651 | + | 34.2233i | −0.189344 | + | 1.27898i | ||||
\(717\) | −9.65324 | + | 9.65324i | −0.360507 | + | 0.360507i | ||||
\(718\) | 12.0212 | + | 36.3712i | 0.448628 | + | 1.35736i | ||||
\(719\) | 44.0949 | 1.64446 | 0.822230 | − | 0.569155i | \(-0.192730\pi\) | ||||
0.822230 | + | 0.569155i | \(0.192730\pi\) | |||||||
\(720\) | −3.39380 | − | 6.34059i | −0.126479 | − | 0.236300i | ||||
\(721\) | −1.80409 | −0.0671880 | ||||||||
\(722\) | −4.29513 | − | 12.9953i | −0.159848 | − | 0.483634i | ||||
\(723\) | 1.50732 | − | 1.50732i | 0.0560578 | − | 0.0560578i | ||||
\(724\) | 16.1233 | + | 2.38694i | 0.599219 | + | 0.0887101i | ||||
\(725\) | −3.71119 | − | 3.71119i | −0.137830 | − | 0.137830i | ||||
\(726\) | −22.5481 | − | 11.3457i | −0.836840 | − | 0.421079i | ||||
\(727\) | 9.23457i | 0.342491i | 0.985228 | + | 0.171246i | \(0.0547792\pi\) | ||||
−0.985228 | + | 0.171246i | \(0.945221\pi\) | |||||||
\(728\) | −2.63832 | + | 0.458962i | −0.0977826 | + | 0.0170103i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −1.53029 | + | 3.04125i | −0.0566385 | + | 0.112562i | ||||
\(731\) | 17.5706 | + | 17.5706i | 0.649872 | + | 0.649872i | ||||
\(732\) | −6.18508 | − | 8.33461i | −0.228607 | − | 0.308056i | ||||
\(733\) | 18.2764 | − | 18.2764i | 0.675053 | − | 0.675053i | −0.283823 | − | 0.958877i | \(-0.591603\pi\) |
0.958877 | + | 0.283823i | \(0.0916029\pi\) | |||||||
\(734\) | 27.5184 | − | 9.09524i | 1.01572 | − | 0.335711i | ||||
\(735\) | 12.5401 | 0.462549 | ||||||||
\(736\) | −15.9949 | + | 0.404135i | −0.589580 | + | 0.0148966i | ||||
\(737\) | −5.82936 | −0.214727 | ||||||||
\(738\) | 3.49611 | − | 1.15551i | 0.128694 | − | 0.0425351i | ||||
\(739\) | 16.9991 | − | 16.9991i | 0.625321 | − | 0.625321i | −0.321566 | − | 0.946887i | \(-0.604209\pi\) |
0.946887 | + | 0.321566i | \(0.104209\pi\) | |||||||
\(740\) | −18.1447 | − | 24.4506i | −0.667012 | − | 0.898822i | ||||
\(741\) | −12.8605 | − | 12.8605i | −0.472444 | − | 0.472444i | ||||
\(742\) | −0.508249 | + | 1.01008i | −0.0186584 | + | 0.0370812i | ||||
\(743\) | − | 17.8748i | − | 0.655762i | −0.944719 | − | 0.327881i | \(-0.893665\pi\) | ||
0.944719 | − | 0.327881i | \(-0.106335\pi\) | |||||||
\(744\) | 2.01606 | + | 11.5892i | 0.0739123 | + | 0.424881i | ||||
\(745\) | 7.44538i | 0.272778i | ||||||||
\(746\) | −1.84682 | − | 0.929278i | −0.0676168 | − | 0.0340233i | ||||
\(747\) | −0.115816 | − | 0.115816i | −0.00423748 | − | 0.00423748i | ||||
\(748\) | −32.4445 | − | 4.80316i | −1.18629 | − | 0.175621i | ||||
\(749\) | −0.114759 | + | 0.114759i | −0.00419319 | + | 0.00419319i | ||||
\(750\) | 5.39996 | + | 16.3380i | 0.197179 | + | 0.596581i | ||||
\(751\) | −35.0731 | −1.27984 | −0.639918 | − | 0.768443i | \(-0.721032\pi\) | ||||
−0.639918 | + | 0.768443i | \(0.721032\pi\) | |||||||
\(752\) | −3.27798 | + | 10.8284i | −0.119536 | + | 0.394872i | ||||
\(753\) | −6.27020 | −0.228499 | ||||||||
\(754\) | −7.85047 | − | 23.7523i | −0.285897 | − | 0.865006i | ||||
\(755\) | −28.8139 | + | 28.8139i | −1.04865 | + | 1.04865i | ||||
\(756\) | −0.0465529 | + | 0.314456i | −0.00169311 | + | 0.0114367i | ||||
\(757\) | −32.8071 | − | 32.8071i | −1.19239 | − | 1.19239i | −0.976393 | − | 0.216000i | \(-0.930699\pi\) |
−0.216000 | − | 0.976393i | \(-0.569301\pi\) | |||||||
\(758\) | −31.5662 | − | 15.8834i | −1.14654 | − | 0.576912i | ||||
\(759\) | − | 15.1917i | − | 0.551425i | ||||||
\(760\) | 8.93484 | − | 12.6981i | 0.324101 | − | 0.460608i | ||||
\(761\) | − | 10.5531i | − | 0.382550i | −0.981536 | − | 0.191275i | \(-0.938738\pi\) | ||
0.981536 | − | 0.191275i | \(-0.0612623\pi\) | |||||||
\(762\) | 0.952171 | − | 1.89231i | 0.0344935 | − | 0.0685513i | ||||
\(763\) | 0.229624 | + | 0.229624i | 0.00831296 | + | 0.00831296i | ||||
\(764\) | −25.9660 | + | 19.2693i | −0.939418 | + | 0.697138i | ||||
\(765\) | 3.88163 | − | 3.88163i | 0.140341 | − | 0.140341i | ||||
\(766\) | 41.7545 | − | 13.8005i | 1.50865 | − | 0.498632i | ||||
\(767\) | −33.6972 | −1.21673 | ||||||||
\(768\) | −15.6890 | + | 3.13946i | −0.566127 | + | 0.113285i | ||||
\(769\) | −35.2068 | −1.26959 | −0.634795 | − | 0.772681i | \(-0.718915\pi\) | ||||
−0.634795 | + | 0.772681i | \(0.718915\pi\) | |||||||
\(770\) | 2.06099 | − | 0.681187i | 0.0742729 | − | 0.0245483i | ||||
\(771\) | 10.6669 | − | 10.6669i | 0.384160 | − | 0.384160i | ||||
\(772\) | −35.5671 | + | 26.3942i | −1.28009 | + | 0.949947i | ||||
\(773\) | −19.3897 | − | 19.3897i | −0.697399 | − | 0.697399i | 0.266450 | − | 0.963849i | \(-0.414149\pi\) |
−0.963849 | + | 0.266450i | \(0.914149\pi\) | |||||||
\(774\) | −5.17338 | + | 10.2814i | −0.185953 | + | 0.369558i | ||||
\(775\) | − | 7.35067i | − | 0.264044i | ||||||
\(776\) | 0.930247 | − | 1.32206i | 0.0333939 | − | 0.0474591i | ||||
\(777\) | 1.34583i | 0.0482812i | ||||||||
\(778\) | 4.57591 | + | 2.30250i | 0.164054 | + | 0.0825485i | ||||
\(779\) | 5.62113 | + | 5.62113i | 0.201398 | + | 0.201398i | ||||
\(780\) | −3.13690 | + | 21.1892i | −0.112319 | + | 0.758694i | ||||
\(781\) | 1.20730 | − | 1.20730i | 0.0432006 | − | 0.0432006i | ||||
\(782\) | −3.83260 | − | 11.5959i | −0.137054 | − | 0.414667i | ||||
\(783\) | −2.96951 | −0.106121 | ||||||||
\(784\) | 8.08331 | − | 26.7023i | 0.288690 | − | 0.953653i | ||||
\(785\) | −7.06877 | −0.252295 | ||||||||
\(786\) | 6.54266 | + | 19.7954i | 0.233369 | + | 0.706078i | ||||
\(787\) | −6.68964 | + | 6.68964i | −0.238460 | + | 0.238460i | −0.816212 | − | 0.577752i | \(-0.803930\pi\) |
0.577752 | + | 0.816212i | \(0.303930\pi\) | |||||||
\(788\) | −40.0084 | − | 5.92295i | −1.42524 | − | 0.210996i | ||||
\(789\) | −18.5054 | − | 18.5054i | −0.658811 | − | 0.658811i | ||||
\(790\) | 22.0179 | + | 11.0789i | 0.783360 | + | 0.394170i | ||||
\(791\) | 0.561839i | 0.0199767i | ||||||||
\(792\) | −2.60365 | − | 14.9670i | −0.0925167 | − | 0.531828i | ||||
\(793\) | 30.9128i | 1.09775i | ||||||||
\(794\) | 4.58289 | − | 9.10789i | 0.162641 | − | 0.323227i | ||||
\(795\) | 6.39542 | + | 6.39542i | 0.226822 | + | 0.226822i | ||||
\(796\) | 29.8055 | + | 40.1639i | 1.05643 | + | 1.42357i | ||||
\(797\) | 13.5617 | − | 13.5617i | 0.480380 | − | 0.480380i | −0.424873 | − | 0.905253i | \(-0.639681\pi\) |
0.905253 | + | 0.424873i | \(0.139681\pi\) | |||||||
\(798\) | −0.651622 | + | 0.215371i | −0.0230672 | + | 0.00762404i | ||||
\(799\) | −8.63577 | −0.305511 | ||||||||
\(800\) | 9.99495 | − | 0.252537i | 0.353375 | − | 0.00892854i | ||||
\(801\) | 14.3990 | 0.508765 | ||||||||
\(802\) | 20.4988 | − | 6.77515i | 0.723837 | − | 0.239239i | ||||
\(803\) | −5.08532 | + | 5.08532i | −0.179457 | + | 0.179457i | ||||
\(804\) | −1.29355 | − | 1.74311i | −0.0456200 | − | 0.0614746i | ||||
\(805\) | 0.571533 | + | 0.571533i | 0.0201439 | + | 0.0201439i | ||||
\(806\) | 15.7482 | − | 31.2974i | 0.554705 | − | 1.10240i | ||||
\(807\) | − | 12.1580i | − | 0.427982i | ||||||
\(808\) | 28.1885 | − | 4.90367i | 0.991668 | − | 0.172510i | ||||
\(809\) | 43.1578i | 1.51735i | 0.651472 | + | 0.758673i | \(0.274152\pi\) | ||||
−0.651472 | + | 0.758673i | \(0.725848\pi\) | |||||||
\(810\) | 2.27133 | + | 1.14288i | 0.0798064 | + | 0.0401568i | ||||
\(811\) | 2.74017 | + | 2.74017i | 0.0962203 | + | 0.0962203i | 0.753578 | − | 0.657358i | \(-0.228326\pi\) |
−0.657358 | + | 0.753578i | \(0.728326\pi\) | |||||||
\(812\) | −0.933779 | − | 0.138239i | −0.0327692 | − | 0.00485124i | ||||
\(813\) | 7.54086 | − | 7.54086i | 0.264469 | − | 0.264469i | ||||
\(814\) | −20.1839 | − | 61.0683i | −0.707447 | − | 2.14044i | ||||
\(815\) | −13.8243 | −0.484242 | ||||||||
\(816\) | −5.76326 | − | 10.7674i | −0.201755 | − | 0.376936i | ||||
\(817\) | −24.8486 | −0.869342 | ||||||||
\(818\) | 5.04959 | + | 15.2780i | 0.176555 | + | 0.534182i | ||||
\(819\) | 0.669485 | − | 0.669485i | 0.0233937 | − | 0.0233937i | ||||
\(820\) | 1.37109 | − | 9.26143i | 0.0478805 | − | 0.323423i | ||||
\(821\) | 3.97453 | + | 3.97453i | 0.138712 | + | 0.138712i | 0.773053 | − | 0.634341i | \(-0.218729\pi\) |
−0.634341 | + | 0.773053i | \(0.718729\pi\) | |||||||
\(822\) | 17.4277 | + | 8.76924i | 0.607862 | + | 0.305862i | ||||
\(823\) | 38.5255i | 1.34291i | 0.741043 | + | 0.671457i | \(0.234331\pi\) | ||||
−0.741043 | + | 0.671457i | \(0.765669\pi\) | |||||||
\(824\) | 26.2561 | + | 18.4748i | 0.914676 | + | 0.643599i | ||||
\(825\) | 9.49307i | 0.330506i | ||||||||
\(826\) | −0.571533 | + | 1.13585i | −0.0198862 | + | 0.0395212i | ||||
\(827\) | 2.99583 | + | 2.99583i | 0.104175 | + | 0.104175i | 0.757273 | − | 0.653098i | \(-0.226531\pi\) |
−0.653098 | + | 0.757273i | \(0.726531\pi\) | |||||||
\(828\) | 4.54266 | − | 3.37109i | 0.157868 | − | 0.117153i | ||||
\(829\) | −24.9699 | + | 24.9699i | −0.867240 | + | 0.867240i | −0.992166 | − | 0.124926i | \(-0.960131\pi\) |
0.124926 | + | 0.992166i | \(0.460131\pi\) | |||||||
\(830\) | −0.395420 | + | 0.130692i | −0.0137252 | + | 0.00453639i | ||||
\(831\) | −3.76421 | −0.130579 | ||||||||
\(832\) | 43.0971 | + | 20.3380i | 1.49412 | + | 0.705095i | ||||
\(833\) | 21.2953 | 0.737838 | ||||||||
\(834\) | 4.60365 | − | 1.52157i | 0.159411 | − | 0.0526878i | ||||
\(835\) | 5.02758 | − | 5.02758i | 0.173986 | − | 0.173986i | ||||
\(836\) | 26.3380 | − | 19.5453i | 0.910920 | − | 0.675990i | ||||
\(837\) | −2.94082 | − | 2.94082i | −0.101649 | − | 0.101649i | ||||
\(838\) | −20.9527 | + | 41.6407i | −0.723799 | + | 1.43846i | ||||
\(839\) | − | 39.6005i | − | 1.36716i | −0.729876 | − | 0.683580i | \(-0.760422\pi\) | ||
0.729876 | − | 0.683580i | \(-0.239578\pi\) | |||||||
\(840\) | 0.661029 | + | 0.465124i | 0.0228077 | + | 0.0160483i | ||||
\(841\) | 20.1820i | 0.695932i | ||||||||
\(842\) | 31.4712 | + | 15.8356i | 1.08457 | + | 0.545731i | ||||
\(843\) | 7.38895 | + | 7.38895i | 0.254489 | + | 0.254489i | ||||
\(844\) | 7.63159 | − | 51.5499i | 0.262690 | − | 1.77442i | ||||
\(845\) | 28.5850 | − | 28.5850i | 0.983355 | − | 0.983355i | ||||
\(846\) | −1.25527 | − | 3.79793i | −0.0431571 | − | 0.130576i | ||||
\(847\) | 2.83688 | 0.0974765 | ||||||||
\(848\) | 17.7406 | − | 9.49562i | 0.609213 | − | 0.326081i | ||||
\(849\) | −17.6569 | −0.605982 | ||||||||
\(850\) | 2.39493 | + | 7.24607i | 0.0821454 | + | 0.248538i | ||||
\(851\) | 16.9348 | − | 16.9348i | 0.580519 | − | 0.580519i | ||||
\(852\) | 0.628912 | + | 0.0931059i | 0.0215462 | + | 0.00318975i | ||||
\(853\) | 7.68505 | + | 7.68505i | 0.263131 | + | 0.263131i | 0.826325 | − | 0.563194i | \(-0.190428\pi\) |
−0.563194 | + | 0.826325i | \(0.690428\pi\) | |||||||
\(854\) | 1.04199 | + | 0.524308i | 0.0356563 | + | 0.0179414i | ||||
\(855\) | 5.48946i | 0.187735i | ||||||||
\(856\) | 2.84534 | − | 0.494975i | 0.0972517 | − | 0.0169179i | ||||
\(857\) | − | 34.0082i | − | 1.16170i | −0.814011 | − | 0.580849i | \(-0.802721\pi\) | ||
0.814011 | − | 0.580849i | \(-0.197279\pi\) | |||||||
\(858\) | −20.3380 | + | 40.4192i | −0.694329 | + | 1.37989i | ||||
\(859\) | 9.19049 | + | 9.19049i | 0.313576 | + | 0.313576i | 0.846293 | − | 0.532718i | \(-0.178829\pi\) |
−0.532718 | + | 0.846293i | \(0.678829\pi\) | |||||||
\(860\) | 17.4399 | + | 23.5009i | 0.594696 | + | 0.801374i | ||||
\(861\) | −0.292621 | + | 0.292621i | −0.00997249 | + | 0.00997249i | ||||
\(862\) | −13.8589 | + | 4.58057i | −0.472037 | + | 0.156015i | ||||
\(863\) | −25.8307 | −0.879289 | −0.439644 | − | 0.898172i | \(-0.644896\pi\) | ||||
−0.439644 | + | 0.898172i | \(0.644896\pi\) | |||||||
\(864\) | 3.89769 | − | 4.09976i | 0.132602 | − | 0.139477i | ||||
\(865\) | −40.6353 | −1.38164 | ||||||||
\(866\) | 20.5628 | − | 6.79631i | 0.698753 | − | 0.230948i | ||||
\(867\) | −5.42912 | + | 5.42912i | −0.184383 | + | 0.184383i | ||||
\(868\) | −0.787854 | − | 1.06166i | −0.0267415 | − | 0.0360351i | ||||
\(869\) | 36.8165 | + | 36.8165i | 1.24891 | + | 1.24891i | ||||
\(870\) | −3.39380 | + | 6.74473i | −0.115061 | + | 0.228668i | ||||
\(871\) | 6.46512i | 0.219062i | ||||||||
\(872\) | −0.990411 | − | 5.69333i | −0.0335395 | − | 0.192800i | ||||
\(873\) | 0.571533i | 0.0193435i | ||||||||
\(874\) | 10.9096 | + | 5.48946i | 0.369022 | + | 0.185684i | ||||
\(875\) | −1.36748 | − | 1.36748i | −0.0462292 | − | 0.0462292i | ||||
\(876\) | −2.64907 | − | 0.392176i | −0.0895038 | − | 0.0132504i | ||||
\(877\) | 31.9718 | − | 31.9718i | 1.07961 | − | 1.07961i | 0.0830670 | − | 0.996544i | \(-0.473528\pi\) |
0.996544 | − | 0.0830670i | \(-0.0264716\pi\) | |||||||
\(878\) | 10.0183 | + | 30.3111i | 0.338100 | + | 1.02295i | ||||
\(879\) | 30.7465 | 1.03705 | ||||||||
\(880\) | −36.9706 | − | 11.1917i | −1.24628 | − | 0.377273i | ||||
\(881\) | 34.7403 | 1.17043 | 0.585215 | − | 0.810878i | \(-0.301010\pi\) | ||||
0.585215 | + | 0.810878i | \(0.301010\pi\) | |||||||
\(882\) | 3.09543 | + | 9.36548i | 0.104228 | + | 0.315352i | ||||
\(883\) | −34.6034 | + | 34.6034i | −1.16450 | + | 1.16450i | −0.181017 | + | 0.983480i | \(0.557939\pi\) |
−0.983480 | + | 0.181017i | \(0.942061\pi\) | |||||||
\(884\) | −5.32701 | + | 35.9829i | −0.179167 | + | 1.21024i | ||||
\(885\) | 7.19173 | + | 7.19173i | 0.241747 | + | 0.241747i | ||||
\(886\) | −42.3628 | − | 21.3160i | −1.42320 | − | 0.716125i | ||||
\(887\) | − | 22.9284i | − | 0.769860i | −0.922946 | − | 0.384930i | \(-0.874226\pi\) | ||
0.922946 | − | 0.384930i | \(-0.125774\pi\) | |||||||
\(888\) | 13.7819 | − | 19.5867i | 0.462489 | − | 0.657285i | ||||
\(889\) | 0.238081i | 0.00798497i | ||||||||
\(890\) | 16.4564 | − | 32.7050i | 0.551620 | − | 1.09627i | ||||
\(891\) | 3.79793 | + | 3.79793i | 0.127236 | + | 0.127236i | ||||
\(892\) | 29.4658 | − | 21.8664i | 0.986588 | − | 0.732143i | ||||
\(893\) | 6.10641 | − | 6.10641i | 0.204343 | − | 0.204343i | ||||
\(894\) | −5.56052 | + | 1.83783i | −0.185972 | + | 0.0614664i | ||||
\(895\) | −31.1009 | −1.03959 | ||||||||
\(896\) | 1.41651 | − | 1.10774i | 0.0473222 | − | 0.0370072i | ||||
\(897\) | −16.8486 | −0.562558 | ||||||||
\(898\) | 2.35665 | − | 0.778908i | 0.0786425 | − | 0.0259925i | ||||
\(899\) | 8.73277 | − | 8.73277i | 0.291254 | − | 0.291254i | ||||
\(900\) | −2.83863 | + | 2.10654i | −0.0946212 | + | 0.0702179i | ||||
\(901\) | 10.8605 | + | 10.8605i | 0.361817 | + | 0.361817i | ||||
\(902\) | 8.88942 | − | 17.6665i | 0.295985 | − | 0.588232i | ||||
\(903\) | − | 1.29355i | − | 0.0430467i | ||||||
\(904\) | 5.75349 | − | 8.17680i | 0.191358 | − | 0.271956i | ||||
\(905\) | 14.6523i | 0.487059i | ||||||||
\(906\) | −28.6319 | − | 14.4070i | −0.951232 | − | 0.478639i | ||||
\(907\) | −16.3822 | − | 16.3822i | −0.543963 | − | 0.543963i | 0.380725 | − | 0.924688i | \(-0.375674\pi\) |
−0.924688 | + | 0.380725i | \(0.875674\pi\) | |||||||
\(908\) | −0.0479725 | + | 0.324045i | −0.00159202 | + | 0.0107538i | ||||
\(909\) | −7.15296 | + | 7.15296i | −0.237249 | + | 0.237249i | ||||
\(910\) | −0.755479 | − | 2.28577i | −0.0250439 | − | 0.0757724i | ||||
\(911\) | −29.4078 | −0.974324 | −0.487162 | − | 0.873312i | \(-0.661968\pi\) | ||||
−0.487162 | + | 0.873312i | \(0.661968\pi\) | |||||||
\(912\) | 11.6890 | + | 3.53849i | 0.387061 | + | 0.117171i | ||||
\(913\) | −0.879722 | −0.0291146 | ||||||||
\(914\) | −11.8683 | − | 35.9086i | −0.392569 | − | 1.18775i | ||||
\(915\) | 6.59749 | − | 6.59749i | 0.218106 | − | 0.218106i | ||||
\(916\) | 7.96827 | + | 1.17964i | 0.263279 | + | 0.0389765i | ||||
\(917\) | −1.65685 | − | 1.65685i | −0.0547141 | − | 0.0547141i | ||||
\(918\) | 3.85712 | + | 1.94082i | 0.127304 | + | 0.0640565i | ||||
\(919\) | 6.86029i | 0.226300i | 0.993578 | + | 0.113150i | \(0.0360941\pi\) | ||||
−0.993578 | + | 0.113150i | \(0.963906\pi\) | |||||||
\(920\) | −2.46512 | − | 14.1706i | −0.0812727 | − | 0.467192i | ||||
\(921\) | − | 21.2981i | − | 0.701798i | ||||||
\(922\) | −8.30574 | + | 16.5066i | −0.273535 | + | 0.543615i | ||||
\(923\) | −1.33897 | − | 1.33897i | −0.0440728 | − | 0.0440728i | ||||
\(924\) | 1.01748 | + | 1.37109i | 0.0334726 | + | 0.0451055i | ||||
\(925\) | −10.5823 | + | 10.5823i | −0.347944 | + | 0.347944i | ||||
\(926\) | −39.5411 | + | 13.0689i | −1.29940 | + | 0.429471i | ||||
\(927\) | −11.3507 | −0.372805 | ||||||||
\(928\) | 12.1743 | + | 11.5742i | 0.399639 | + | 0.379942i | ||||
\(929\) | 16.1385 | 0.529488 | 0.264744 | − | 0.964319i | \(-0.414713\pi\) | ||||
0.264744 | + | 0.964319i | \(0.414713\pi\) | |||||||
\(930\) | −10.0406 | + | 3.31856i | −0.329243 | + | 0.108820i | ||||
\(931\) | −15.0581 | + | 15.0581i | −0.493508 | + | 0.493508i | ||||
\(932\) | 13.9699 | + | 18.8249i | 0.457599 | + | 0.616631i | ||||
\(933\) | −1.25782 | − | 1.25782i | −0.0411793 | − | 0.0411793i | ||||
\(934\) | 17.6105 | − | 34.9985i | 0.576233 | − | 1.14519i | ||||
\(935\) | − | 29.4844i | − | 0.964241i | ||||||
\(936\) | −16.5993 | + | 2.88761i | −0.542565 | + | 0.0943845i | ||||
\(937\) | 34.7669i | 1.13579i | 0.823102 | + | 0.567893i | \(0.192241\pi\) | ||||
−0.823102 | + | 0.567893i | \(0.807759\pi\) | |||||||
\(938\) | 0.217923 | + | 0.109654i | 0.00711544 | + | 0.00358033i | ||||
\(939\) | −1.91145 | − | 1.91145i | −0.0623779 | − | 0.0623779i | ||||
\(940\) | −10.0610 | − | 1.48946i | −0.328153 | − | 0.0485807i | ||||
\(941\) | −37.2662 | + | 37.2662i | −1.21484 | + | 1.21484i | −0.245430 | + | 0.969414i | \(0.578929\pi\) |
−0.969414 | + | 0.245430i | \(0.921071\pi\) | |||||||
\(942\) | −1.74487 | − | 5.27926i | −0.0568510 | − | 0.172008i | ||||
\(943\) | 7.36423 | 0.239812 | ||||||||
\(944\) | 19.9495 | − | 10.6779i | 0.649300 | − | 0.347537i | ||||
\(945\) | −0.285766 | −0.00929598 | ||||||||
\(946\) | 19.4000 | + | 58.6962i | 0.630747 | + | 1.90838i | ||||
\(947\) | 18.5243 | − | 18.5243i | 0.601957 | − | 0.601957i | −0.338874 | − | 0.940832i | \(-0.610046\pi\) |
0.940832 | + | 0.338874i | \(0.110046\pi\) | |||||||
\(948\) | −2.83925 | + | 19.1786i | −0.0922147 | + | 0.622892i | ||||
\(949\) | 5.63994 | + | 5.63994i | 0.183080 | + | 0.183080i | ||||
\(950\) | −6.81722 | − | 3.43027i | −0.221180 | − | 0.111293i | ||||
\(951\) | − | 22.0653i | − | 0.715516i | ||||||
\(952\) | 1.12254 | + | 0.789861i | 0.0363818 | + | 0.0255996i | ||||
\(953\) | − | 11.1752i | − | 0.362000i | −0.983483 | − | 0.181000i | \(-0.942067\pi\) | ||
0.983483 | − | 0.181000i | \(-0.0579333\pi\) | |||||||
\(954\) | −3.19771 | + | 6.35503i | −0.103530 | + | 0.205752i | ||||
\(955\) | −20.5541 | − | 20.5541i | −0.665115 | − | 0.665115i | ||||
\(956\) | −21.9257 | + | 16.2710i | −0.709128 | + | 0.526241i | ||||
\(957\) | −11.2780 | + | 11.2780i | −0.364565 | + | 0.364565i | ||||
\(958\) | −47.7354 | + | 15.7773i | −1.54226 | + | 0.509740i | ||||
\(959\) | −2.19266 | −0.0708047 | ||||||||
\(960\) | −4.85730 | − | 13.5385i | −0.156769 | − | 0.436953i | ||||
\(961\) | −13.7032 | −0.442039 | ||||||||
\(962\) | −67.7285 | + | 22.3853i | −2.18366 | + | 0.721730i | ||||
\(963\) | −0.722018 | + | 0.722018i | −0.0232667 | + | 0.0232667i | ||||
\(964\) | 3.42362 | − | 2.54065i | 0.110267 | − | 0.0818289i | ||||
\(965\) | −28.1541 | − | 28.1541i | −0.906312 | − | 0.906312i | ||||
\(966\) | −0.285766 | + | 0.567923i | −0.00919438 | + | 0.0182726i | ||||
\(967\) | − | 12.8452i | − | 0.413075i | −0.978439 | − | 0.206537i | \(-0.933780\pi\) | ||
0.978439 | − | 0.206537i | \(-0.0662195\pi\) | |||||||
\(968\) | −41.2870 | − | 29.0510i | −1.32701 | − | 0.933734i | ||||
\(969\) | 9.32206i | 0.299468i | ||||||||
\(970\) | 1.29814 | + | 0.653195i | 0.0416808 | + | 0.0209728i | ||||
\(971\) | 5.94517 | + | 5.94517i | 0.190790 | + | 0.190790i | 0.796037 | − | 0.605248i | \(-0.206926\pi\) |
−0.605248 | + | 0.796037i | \(0.706926\pi\) | |||||||
\(972\) | −0.292893 | + | 1.97844i | −0.00939455 | + | 0.0634584i | ||||
\(973\) | −0.385321 | + | 0.385321i | −0.0123528 | + | 0.0123528i | ||||
\(974\) | −4.37873 | − | 13.2482i | −0.140304 | − | 0.424500i | ||||
\(975\) | 10.5284 | 0.337179 | ||||||||
\(976\) | −9.79564 | − | 18.3011i | −0.313551 | − | 0.585803i | ||||
\(977\) | 40.4156 | 1.29301 | 0.646504 | − | 0.762910i | \(-0.276230\pi\) | ||||
0.646504 | + | 0.762910i | \(0.276230\pi\) | |||||||
\(978\) | −3.41241 | − | 10.3245i | −0.109117 | − | 0.330142i | ||||
\(979\) | 54.6865 | − | 54.6865i | 1.74779 | − | 1.74779i | ||||
\(980\) | 24.8098 | + | 3.67291i | 0.792521 | + | 0.117327i | ||||
\(981\) | 1.44471 | + | 1.44471i | 0.0461260 | + | 0.0461260i | ||||
\(982\) | 0.803165 | + | 0.404135i | 0.0256300 | + | 0.0128965i | ||||
\(983\) | 13.9202i | 0.443985i | 0.975048 | + | 0.221993i | \(0.0712561\pi\) | ||||
−0.975048 | + | 0.221993i | \(0.928744\pi\) | |||||||
\(984\) | 7.25527 | − | 1.26213i | 0.231290 | − | 0.0402351i | ||||
\(985\) | − | 36.3582i | − | 1.15847i | ||||||
\(986\) | −5.76326 | + | 11.4537i | −0.183540 | + | 0.364761i | ||||
\(987\) | 0.317883 | + | 0.317883i | 0.0101183 | + | 0.0101183i | ||||
\(988\) | −21.6770 | − | 29.2105i | −0.689638 | − | 0.929311i | ||||
\(989\) | −16.2771 | + | 16.2771i | −0.517580 | + | 0.517580i | ||||
\(990\) | 12.9670 | − | 4.28577i | 0.412117 | − | 0.136211i | ||||
\(991\) | 41.0309 | 1.30339 | 0.651695 | − | 0.758481i | \(-0.274058\pi\) | ||||
0.651695 | + | 0.758481i | \(0.274058\pi\) | |||||||
\(992\) | 0.594243 | + | 23.5190i | 0.0188672 | + | 0.746730i | ||||
\(993\) | 21.8431 | 0.693169 | ||||||||
\(994\) | −0.0678434 | + | 0.0224232i | −0.00215186 | + | 0.000711222i | ||||
\(995\) | −31.7928 | + | 31.7928i | −1.00790 | + | 1.00790i | ||||
\(996\) | −0.195213 | − | 0.263056i | −0.00618556 | − | 0.00833526i | ||||
\(997\) | 27.3245 | + | 27.3245i | 0.865375 | + | 0.865375i | 0.991956 | − | 0.126581i | \(-0.0404005\pi\) |
−0.126581 | + | 0.991956i | \(0.540400\pi\) | |||||||
\(998\) | −2.43301 | + | 4.83528i | −0.0770155 | + | 0.153058i | ||||
\(999\) | 8.46742i | 0.267897i |
(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 | 48.2.j.a.37.1 | yes | 8 | |
3.2 | odd | 2 | 144.2.k.b.37.4 | 8 | |||
4.3 | odd | 2 | 192.2.j.a.49.2 | 8 | |||
8.3 | odd | 2 | 384.2.j.a.97.3 | 8 | |||
8.5 | even | 2 | 384.2.j.b.97.1 | 8 | |||
12.11 | even | 2 | 576.2.k.b.433.2 | 8 | |||
16.3 | odd | 4 | 192.2.j.a.145.2 | 8 | |||
16.5 | even | 4 | 384.2.j.b.289.1 | 8 | |||
16.11 | odd | 4 | 384.2.j.a.289.3 | 8 | |||
16.13 | even | 4 | inner | 48.2.j.a.13.1 | ✓ | 8 | |
24.5 | odd | 2 | 1152.2.k.c.865.3 | 8 | |||
24.11 | even | 2 | 1152.2.k.f.865.3 | 8 | |||
32.3 | odd | 8 | 3072.2.a.n.1.1 | 4 | |||
32.5 | even | 8 | 3072.2.d.f.1537.8 | 8 | |||
32.11 | odd | 8 | 3072.2.d.i.1537.5 | 8 | |||
32.13 | even | 8 | 3072.2.a.i.1.4 | 4 | |||
32.19 | odd | 8 | 3072.2.a.o.1.4 | 4 | |||
32.21 | even | 8 | 3072.2.d.f.1537.1 | 8 | |||
32.27 | odd | 8 | 3072.2.d.i.1537.4 | 8 | |||
32.29 | even | 8 | 3072.2.a.t.1.1 | 4 | |||
48.5 | odd | 4 | 1152.2.k.c.289.3 | 8 | |||
48.11 | even | 4 | 1152.2.k.f.289.3 | 8 | |||
48.29 | odd | 4 | 144.2.k.b.109.4 | 8 | |||
48.35 | even | 4 | 576.2.k.b.145.2 | 8 | |||
96.29 | odd | 8 | 9216.2.a.y.1.4 | 4 | |||
96.35 | even | 8 | 9216.2.a.x.1.4 | 4 | |||
96.77 | odd | 8 | 9216.2.a.bo.1.1 | 4 | |||
96.83 | even | 8 | 9216.2.a.bn.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.2.j.a.13.1 | ✓ | 8 | 16.13 | even | 4 | inner | |
48.2.j.a.37.1 | yes | 8 | 1.1 | even | 1 | trivial | |
144.2.k.b.37.4 | 8 | 3.2 | odd | 2 | |||
144.2.k.b.109.4 | 8 | 48.29 | odd | 4 | |||
192.2.j.a.49.2 | 8 | 4.3 | odd | 2 | |||
192.2.j.a.145.2 | 8 | 16.3 | odd | 4 | |||
384.2.j.a.97.3 | 8 | 8.3 | odd | 2 | |||
384.2.j.a.289.3 | 8 | 16.11 | odd | 4 | |||
384.2.j.b.97.1 | 8 | 8.5 | even | 2 | |||
384.2.j.b.289.1 | 8 | 16.5 | even | 4 | |||
576.2.k.b.145.2 | 8 | 48.35 | even | 4 | |||
576.2.k.b.433.2 | 8 | 12.11 | even | 2 | |||
1152.2.k.c.289.3 | 8 | 48.5 | odd | 4 | |||
1152.2.k.c.865.3 | 8 | 24.5 | odd | 2 | |||
1152.2.k.f.289.3 | 8 | 48.11 | even | 4 | |||
1152.2.k.f.865.3 | 8 | 24.11 | even | 2 | |||
3072.2.a.i.1.4 | 4 | 32.13 | even | 8 | |||
3072.2.a.n.1.1 | 4 | 32.3 | odd | 8 | |||
3072.2.a.o.1.4 | 4 | 32.19 | odd | 8 | |||
3072.2.a.t.1.1 | 4 | 32.29 | even | 8 | |||
3072.2.d.f.1537.1 | 8 | 32.21 | even | 8 | |||
3072.2.d.f.1537.8 | 8 | 32.5 | even | 8 | |||
3072.2.d.i.1537.4 | 8 | 32.27 | odd | 8 | |||
3072.2.d.i.1537.5 | 8 | 32.11 | odd | 8 | |||
9216.2.a.x.1.4 | 4 | 96.35 | even | 8 | |||
9216.2.a.y.1.4 | 4 | 96.29 | odd | 8 | |||
9216.2.a.bn.1.1 | 4 | 96.83 | even | 8 | |||
9216.2.a.bo.1.1 | 4 | 96.77 | odd | 8 |