Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(101,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.bk (of order \(6\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.2 | ||
Character | \(\chi\) | \(=\) | 630.131 |
Dual form | 630.2.bk.b.101.9 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.67419 | + | 0.443962i | −0.966592 | + | 0.256321i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0.443962 | + | 1.67419i | 0.181247 | + | 0.683483i | ||||
\(7\) | −1.17317 | + | 2.37143i | −0.443416 | + | 0.896316i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.60580 | − | 1.48655i | 0.868599 | − | 0.495516i | ||||
\(10\) | −0.866025 | + | 0.500000i | −0.273861 | + | 0.158114i | ||||
\(11\) | −0.179928 | − | 0.103881i | −0.0542502 | − | 0.0313214i | 0.472630 | − | 0.881261i | \(-0.343305\pi\) |
−0.526880 | + | 0.849940i | \(0.676638\pi\) | |||||||
\(12\) | 1.67419 | − | 0.443962i | 0.483296 | − | 0.128161i | ||||
\(13\) | −1.22567 | − | 0.707642i | −0.339940 | − | 0.196265i | 0.320305 | − | 0.947314i | \(-0.396214\pi\) |
−0.660246 | + | 0.751050i | \(0.729548\pi\) | |||||||
\(14\) | 2.37143 | + | 1.17317i | 0.633791 | + | 0.313542i | ||||
\(15\) | 1.22158 | + | 1.22791i | 0.315409 | + | 0.317044i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −0.680447 | − | 1.17857i | −0.165033 | − | 0.285845i | 0.771634 | − | 0.636067i | \(-0.219440\pi\) |
−0.936667 | + | 0.350222i | \(0.886106\pi\) | |||||||
\(18\) | −1.48655 | − | 2.60580i | −0.350383 | − | 0.614192i | ||||
\(19\) | 5.73160 | + | 3.30914i | 1.31492 | + | 0.759169i | 0.982906 | − | 0.184106i | \(-0.0589389\pi\) |
0.332013 | + | 0.943275i | \(0.392272\pi\) | |||||||
\(20\) | 0.500000 | + | 0.866025i | 0.111803 | + | 0.193649i | ||||
\(21\) | 0.911277 | − | 4.49105i | 0.198857 | − | 0.980029i | ||||
\(22\) | −0.103881 | + | 0.179928i | −0.0221476 | + | 0.0383607i | ||||
\(23\) | 5.53808 | − | 3.19741i | 1.15477 | − | 0.666706i | 0.204724 | − | 0.978820i | \(-0.434370\pi\) |
0.950045 | + | 0.312114i | \(0.101037\pi\) | |||||||
\(24\) | −0.443962 | − | 1.67419i | −0.0906233 | − | 0.341742i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.707642 | + | 1.22567i | −0.138780 | + | 0.240374i | ||||
\(27\) | −3.70262 | + | 3.64563i | −0.712569 | + | 0.701602i | ||||
\(28\) | 1.17317 | − | 2.37143i | 0.221708 | − | 0.448158i | ||||
\(29\) | 6.11758 | − | 3.53199i | 1.13601 | − | 0.655874i | 0.190568 | − | 0.981674i | \(-0.438967\pi\) |
0.945439 | + | 0.325800i | \(0.105634\pi\) | |||||||
\(30\) | 1.22791 | − | 1.22158i | 0.224184 | − | 0.223028i | ||||
\(31\) | − | 4.74509i | − | 0.852244i | −0.904666 | − | 0.426122i | \(-0.859880\pi\) | ||
0.904666 | − | 0.426122i | \(-0.140120\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 0.347352 | + | 0.0940356i | 0.0604662 | + | 0.0163695i | ||||
\(34\) | −1.17857 | + | 0.680447i | −0.202123 | + | 0.116696i | ||||
\(35\) | 2.64030 | − | 0.169721i | 0.446292 | − | 0.0286881i | ||||
\(36\) | −2.60580 | + | 1.48655i | −0.434299 | + | 0.247758i | ||||
\(37\) | 1.32889 | − | 2.30171i | 0.218468 | − | 0.378398i | −0.735872 | − | 0.677121i | \(-0.763227\pi\) |
0.954340 | + | 0.298723i | \(0.0965607\pi\) | |||||||
\(38\) | 3.30914 | − | 5.73160i | 0.536814 | − | 0.929788i | ||||
\(39\) | 2.36617 | + | 0.640573i | 0.378890 | + | 0.102574i | ||||
\(40\) | 0.866025 | − | 0.500000i | 0.136931 | − | 0.0790569i | ||||
\(41\) | 1.41245 | − | 2.44643i | 0.220587 | − | 0.382068i | −0.734399 | − | 0.678718i | \(-0.762536\pi\) |
0.954986 | + | 0.296650i | \(0.0958693\pi\) | |||||||
\(42\) | −4.49105 | − | 0.911277i | −0.692985 | − | 0.140613i | ||||
\(43\) | 1.06723 | + | 1.84849i | 0.162751 | + | 0.281893i | 0.935854 | − | 0.352387i | \(-0.114630\pi\) |
−0.773103 | + | 0.634280i | \(0.781297\pi\) | |||||||
\(44\) | 0.179928 | + | 0.103881i | 0.0271251 | + | 0.0156607i | ||||
\(45\) | −2.59029 | − | 1.51341i | −0.386137 | − | 0.225606i | ||||
\(46\) | −3.19741 | − | 5.53808i | −0.471432 | − | 0.816545i | ||||
\(47\) | −0.114683 | −0.0167282 | −0.00836410 | − | 0.999965i | \(-0.502662\pi\) | ||||
−0.00836410 | + | 0.999965i | \(0.502662\pi\) | |||||||
\(48\) | −1.67419 | + | 0.443962i | −0.241648 | + | 0.0640804i | ||||
\(49\) | −4.24735 | − | 5.56417i | −0.606765 | − | 0.794881i | ||||
\(50\) | 0.866025 | + | 0.500000i | 0.122474 | + | 0.0707107i | ||||
\(51\) | 1.66243 | + | 1.67105i | 0.232787 | + | 0.233994i | ||||
\(52\) | 1.22567 | + | 0.707642i | 0.169970 | + | 0.0981323i | ||||
\(53\) | 8.40507 | − | 4.85267i | 1.15452 | − | 0.666565i | 0.204539 | − | 0.978858i | \(-0.434430\pi\) |
0.949986 | + | 0.312293i | \(0.101097\pi\) | |||||||
\(54\) | 3.64563 | + | 3.70262i | 0.496108 | + | 0.503862i | ||||
\(55\) | 0.207763i | 0.0280147i | ||||||||
\(56\) | −2.37143 | − | 1.17317i | −0.316896 | − | 0.156771i | ||||
\(57\) | −11.0649 | − | 2.99551i | −1.46558 | − | 0.396764i | ||||
\(58\) | −3.53199 | − | 6.11758i | −0.463773 | − | 0.803278i | ||||
\(59\) | 8.68947 | 1.13127 | 0.565636 | − | 0.824655i | \(-0.308631\pi\) | ||||
0.565636 | + | 0.824655i | \(0.308631\pi\) | |||||||
\(60\) | −1.22158 | − | 1.22791i | −0.157705 | − | 0.158522i | ||||
\(61\) | − | 2.13738i | − | 0.273663i | −0.990594 | − | 0.136832i | \(-0.956308\pi\) | ||
0.990594 | − | 0.136832i | \(-0.0436919\pi\) | |||||||
\(62\) | −4.74509 | −0.602627 | ||||||||
\(63\) | 0.468209 | + | 7.92343i | 0.0589888 | + | 0.998259i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.41528i | 0.175544i | ||||||||
\(66\) | 0.0940356 | − | 0.347352i | 0.0115750 | − | 0.0427560i | ||||
\(67\) | 0.0470446 | 0.00574741 | 0.00287371 | − | 0.999996i | \(-0.499085\pi\) | ||||
0.00287371 | + | 0.999996i | \(0.499085\pi\) | |||||||
\(68\) | 0.680447 | + | 1.17857i | 0.0825163 | + | 0.142922i | ||||
\(69\) | −7.85224 | + | 7.81175i | −0.945299 | + | 0.940424i | ||||
\(70\) | −0.169721 | − | 2.64030i | −0.0202856 | − | 0.315576i | ||||
\(71\) | 3.45539i | 0.410079i | 0.978754 | + | 0.205040i | \(0.0657323\pi\) | ||||
−0.978754 | + | 0.205040i | \(0.934268\pi\) | |||||||
\(72\) | 1.48655 | + | 2.60580i | 0.175191 | + | 0.307096i | ||||
\(73\) | −11.5793 | + | 6.68529i | −1.35525 | + | 0.782454i | −0.988979 | − | 0.148054i | \(-0.952699\pi\) |
−0.366271 | + | 0.930508i | \(0.619366\pi\) | |||||||
\(74\) | −2.30171 | − | 1.32889i | −0.267568 | − | 0.154480i | ||||
\(75\) | 0.452611 | − | 1.67187i | 0.0522630 | − | 0.193051i | ||||
\(76\) | −5.73160 | − | 3.30914i | −0.657460 | − | 0.379585i | ||||
\(77\) | 0.457433 | − | 0.304816i | 0.0521293 | − | 0.0347370i | ||||
\(78\) | 0.640573 | − | 2.36617i | 0.0725306 | − | 0.267916i | ||||
\(79\) | 15.9531 | 1.79487 | 0.897434 | − | 0.441148i | \(-0.145429\pi\) | ||||
0.897434 | + | 0.441148i | \(0.145429\pi\) | |||||||
\(80\) | −0.500000 | − | 0.866025i | −0.0559017 | − | 0.0968246i | ||||
\(81\) | 4.58034 | − | 7.74729i | 0.508927 | − | 0.860810i | ||||
\(82\) | −2.44643 | − | 1.41245i | −0.270163 | − | 0.155979i | ||||
\(83\) | 8.06016 | + | 13.9606i | 0.884717 | + | 1.53237i | 0.846038 | + | 0.533123i | \(0.178982\pi\) |
0.0386794 | + | 0.999252i | \(0.487685\pi\) | |||||||
\(84\) | −0.911277 | + | 4.49105i | −0.0994285 | + | 0.490014i | ||||
\(85\) | −0.680447 | + | 1.17857i | −0.0738048 | + | 0.127834i | ||||
\(86\) | 1.84849 | − | 1.06723i | 0.199328 | − | 0.115082i | ||||
\(87\) | −8.67390 | + | 8.62918i | −0.929940 | + | 0.925145i | ||||
\(88\) | 0.103881 | − | 0.179928i | 0.0110738 | − | 0.0191804i | ||||
\(89\) | 1.40976 | − | 2.44178i | 0.149435 | − | 0.258828i | −0.781584 | − | 0.623800i | \(-0.785588\pi\) |
0.931019 | + | 0.364972i | \(0.118921\pi\) | |||||||
\(90\) | −1.51341 | + | 2.59029i | −0.159528 | + | 0.273040i | ||||
\(91\) | 3.11604 | − | 2.07641i | 0.326650 | − | 0.217667i | ||||
\(92\) | −5.53808 | + | 3.19741i | −0.577384 | + | 0.333353i | ||||
\(93\) | 2.10664 | + | 7.94416i | 0.218448 | + | 0.823771i | ||||
\(94\) | 0.114683i | 0.0118286i | ||||||||
\(95\) | − | 6.61828i | − | 0.679021i | ||||||
\(96\) | 0.443962 | + | 1.67419i | 0.0453117 | + | 0.170871i | ||||
\(97\) | −1.39248 | + | 0.803947i | −0.141385 | + | 0.0816284i | −0.569024 | − | 0.822321i | \(-0.692679\pi\) |
0.427639 | + | 0.903950i | \(0.359345\pi\) | |||||||
\(98\) | −5.56417 | + | 4.24735i | −0.562066 | + | 0.429047i | ||||
\(99\) | −0.623280 | − | 0.00322214i | −0.0626420 | − | 0.000323837i | ||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | −3.05401 | + | 5.28971i | −0.303886 | + | 0.526346i | −0.977013 | − | 0.213181i | \(-0.931617\pi\) |
0.673127 | + | 0.739527i | \(0.264951\pi\) | |||||||
\(102\) | 1.67105 | − | 1.66243i | 0.165459 | − | 0.164606i | ||||
\(103\) | −5.72998 | + | 3.30820i | −0.564591 | + | 0.325967i | −0.754986 | − | 0.655741i | \(-0.772356\pi\) |
0.190395 | + | 0.981708i | \(0.439023\pi\) | |||||||
\(104\) | 0.707642 | − | 1.22567i | 0.0693900 | − | 0.120187i | ||||
\(105\) | −4.34501 | + | 1.45634i | −0.424029 | + | 0.142124i | ||||
\(106\) | −4.85267 | − | 8.40507i | −0.471333 | − | 0.816372i | ||||
\(107\) | 4.64917 | + | 2.68420i | 0.449452 | + | 0.259491i | 0.707599 | − | 0.706614i | \(-0.249778\pi\) |
−0.258147 | + | 0.966106i | \(0.583112\pi\) | |||||||
\(108\) | 3.70262 | − | 3.64563i | 0.356284 | − | 0.350801i | ||||
\(109\) | 9.12274 | + | 15.8011i | 0.873800 | + | 1.51347i | 0.858035 | + | 0.513591i | \(0.171685\pi\) |
0.0157652 | + | 0.999876i | \(0.494982\pi\) | |||||||
\(110\) | 0.207763 | 0.0198094 | ||||||||
\(111\) | −1.20294 | + | 4.44346i | −0.114178 | + | 0.421755i | ||||
\(112\) | −1.17317 | + | 2.37143i | −0.110854 | + | 0.224079i | ||||
\(113\) | −3.64375 | − | 2.10372i | −0.342775 | − | 0.197901i | 0.318723 | − | 0.947848i | \(-0.396746\pi\) |
−0.661498 | + | 0.749947i | \(0.730079\pi\) | |||||||
\(114\) | −2.99551 | + | 11.0649i | −0.280555 | + | 1.03632i | ||||
\(115\) | −5.53808 | − | 3.19741i | −0.516428 | − | 0.298160i | ||||
\(116\) | −6.11758 | + | 3.53199i | −0.568003 | + | 0.327937i | ||||
\(117\) | −4.24580 | − | 0.0219493i | −0.392524 | − | 0.00202921i | ||||
\(118\) | − | 8.68947i | − | 0.799930i | ||||||
\(119\) | 3.59317 | − | 0.230973i | 0.329385 | − | 0.0211732i | ||||
\(120\) | −1.22791 | + | 1.22158i | −0.112092 | + | 0.111514i | ||||
\(121\) | −5.47842 | − | 9.48890i | −0.498038 | − | 0.862627i | ||||
\(122\) | −2.13738 | −0.193509 | ||||||||
\(123\) | −1.27858 | + | 4.72285i | −0.115285 | + | 0.425845i | ||||
\(124\) | 4.74509i | 0.426122i | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 7.92343 | − | 0.468209i | 0.705875 | − | 0.0417114i | ||||
\(127\) | −14.9591 | −1.32741 | −0.663704 | − | 0.747995i | \(-0.731017\pi\) | ||||
−0.663704 | + | 0.747995i | \(0.731017\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −2.60740 | − | 2.62091i | −0.229569 | − | 0.230759i | ||||
\(130\) | 1.41528 | 0.124129 | ||||||||
\(131\) | −8.39654 | − | 14.5432i | −0.733609 | − | 1.27065i | −0.955331 | − | 0.295538i | \(-0.904501\pi\) |
0.221722 | − | 0.975110i | \(-0.428832\pi\) | |||||||
\(132\) | −0.347352 | − | 0.0940356i | −0.0302331 | − | 0.00818475i | ||||
\(133\) | −14.5715 | + | 9.70991i | −1.26351 | + | 0.841956i | ||||
\(134\) | − | 0.0470446i | − | 0.00406403i | ||||||
\(135\) | 5.00852 | + | 1.38374i | 0.431065 | + | 0.119094i | ||||
\(136\) | 1.17857 | − | 0.680447i | 0.101061 | − | 0.0583478i | ||||
\(137\) | 2.93746 | + | 1.69594i | 0.250964 | + | 0.144894i | 0.620206 | − | 0.784439i | \(-0.287049\pi\) |
−0.369241 | + | 0.929334i | \(0.620382\pi\) | |||||||
\(138\) | 7.81175 | + | 7.85224i | 0.664981 | + | 0.668427i | ||||
\(139\) | −5.07662 | − | 2.93099i | −0.430593 | − | 0.248603i | 0.269006 | − | 0.963138i | \(-0.413305\pi\) |
−0.699599 | + | 0.714535i | \(0.746638\pi\) | |||||||
\(140\) | −2.64030 | + | 0.169721i | −0.223146 | + | 0.0143441i | ||||
\(141\) | 0.192000 | − | 0.0509148i | 0.0161693 | − | 0.00428780i | ||||
\(142\) | 3.45539 | 0.289970 | ||||||||
\(143\) | 0.147022 | + | 0.254649i | 0.0122946 | + | 0.0212948i | ||||
\(144\) | 2.60580 | − | 1.48655i | 0.217150 | − | 0.123879i | ||||
\(145\) | −6.11758 | − | 3.53199i | −0.508038 | − | 0.293316i | ||||
\(146\) | 6.68529 | + | 11.5793i | 0.553279 | + | 0.958307i | ||||
\(147\) | 9.58114 | + | 7.42979i | 0.790239 | + | 0.612799i | ||||
\(148\) | −1.32889 | + | 2.30171i | −0.109234 | + | 0.189199i | ||||
\(149\) | 19.3671 | − | 11.1816i | 1.58661 | − | 0.916033i | 0.592755 | − | 0.805382i | \(-0.298040\pi\) |
0.993859 | − | 0.110650i | \(-0.0352933\pi\) | |||||||
\(150\) | −1.67187 | − | 0.452611i | −0.136507 | − | 0.0369555i | ||||
\(151\) | −6.31191 | + | 10.9325i | −0.513656 | + | 0.889678i | 0.486219 | + | 0.873837i | \(0.338376\pi\) |
−0.999875 | + | 0.0158405i | \(0.994958\pi\) | |||||||
\(152\) | −3.30914 | + | 5.73160i | −0.268407 | + | 0.464894i | ||||
\(153\) | −3.52511 | − | 2.05959i | −0.284988 | − | 0.166508i | ||||
\(154\) | −0.304816 | − | 0.457433i | −0.0245627 | − | 0.0368610i | ||||
\(155\) | −4.10937 | + | 2.37255i | −0.330072 | + | 0.190567i | ||||
\(156\) | −2.36617 | − | 0.640573i | −0.189445 | − | 0.0512869i | ||||
\(157\) | 5.80220i | 0.463066i | 0.972827 | + | 0.231533i | \(0.0743741\pi\) | ||||
−0.972827 | + | 0.231533i | \(0.925626\pi\) | |||||||
\(158\) | − | 15.9531i | − | 1.26916i | ||||||
\(159\) | −11.9172 | + | 11.8558i | −0.945099 | + | 0.940226i | ||||
\(160\) | −0.866025 | + | 0.500000i | −0.0684653 | + | 0.0395285i | ||||
\(161\) | 1.08534 | + | 16.8843i | 0.0855365 | + | 1.33067i | ||||
\(162\) | −7.74729 | − | 4.58034i | −0.608684 | − | 0.359866i | ||||
\(163\) | 8.98690 | − | 15.5658i | 0.703908 | − | 1.21920i | −0.263176 | − | 0.964748i | \(-0.584770\pi\) |
0.967084 | − | 0.254457i | \(-0.0818967\pi\) | |||||||
\(164\) | −1.41245 | + | 2.44643i | −0.110294 | + | 0.191034i | ||||
\(165\) | −0.0922387 | − | 0.347833i | −0.00718077 | − | 0.0270788i | ||||
\(166\) | 13.9606 | − | 8.06016i | 1.08355 | − | 0.625589i | ||||
\(167\) | 5.00537 | − | 8.66956i | 0.387327 | − | 0.670870i | −0.604762 | − | 0.796406i | \(-0.706732\pi\) |
0.992089 | + | 0.125536i | \(0.0400650\pi\) | |||||||
\(168\) | 4.49105 | + | 0.911277i | 0.346492 | + | 0.0703066i | ||||
\(169\) | −5.49849 | − | 9.52366i | −0.422960 | − | 0.732589i | ||||
\(170\) | 1.17857 | + | 0.680447i | 0.0903921 | + | 0.0521879i | ||||
\(171\) | 19.8546 | + | 0.102641i | 1.51832 | + | 0.00784918i | ||||
\(172\) | −1.06723 | − | 1.84849i | −0.0813754 | − | 0.140946i | ||||
\(173\) | 7.20429 | 0.547732 | 0.273866 | − | 0.961768i | \(-0.411698\pi\) | ||||
0.273866 | + | 0.961768i | \(0.411698\pi\) | |||||||
\(174\) | 8.62918 | + | 8.67390i | 0.654176 | + | 0.657567i | ||||
\(175\) | −1.46713 | − | 2.20171i | −0.110905 | − | 0.166433i | ||||
\(176\) | −0.179928 | − | 0.103881i | −0.0135626 | − | 0.00783035i | ||||
\(177\) | −14.5478 | + | 3.85779i | −1.09348 | + | 0.289969i | ||||
\(178\) | −2.44178 | − | 1.40976i | −0.183019 | − | 0.105666i | ||||
\(179\) | −12.7104 | + | 7.33833i | −0.950016 | + | 0.548492i | −0.893086 | − | 0.449886i | \(-0.851465\pi\) |
−0.0569303 | + | 0.998378i | \(0.518131\pi\) | |||||||
\(180\) | 2.59029 | + | 1.51341i | 0.193069 | + | 0.112803i | ||||
\(181\) | 20.6504i | 1.53493i | 0.641090 | + | 0.767465i | \(0.278482\pi\) | ||||
−0.641090 | + | 0.767465i | \(0.721518\pi\) | |||||||
\(182\) | −2.07641 | − | 3.11604i | −0.153914 | − | 0.230976i | ||||
\(183\) | 0.948914 | + | 3.57837i | 0.0701458 | + | 0.264521i | ||||
\(184\) | 3.19741 | + | 5.53808i | 0.235716 | + | 0.408272i | ||||
\(185\) | −2.65778 | −0.195404 | ||||||||
\(186\) | 7.94416 | − | 2.10664i | 0.582494 | − | 0.154466i | ||||
\(187\) | 0.282743i | 0.0206762i | ||||||||
\(188\) | 0.114683 | 0.00836410 | ||||||||
\(189\) | −4.30157 | − | 13.0574i | −0.312893 | − | 0.949788i | ||||
\(190\) | −6.61828 | −0.480141 | ||||||||
\(191\) | 21.9525i | 1.58843i | 0.607639 | + | 0.794214i | \(0.292117\pi\) | ||||
−0.607639 | + | 0.794214i | \(0.707883\pi\) | |||||||
\(192\) | 1.67419 | − | 0.443962i | 0.120824 | − | 0.0320402i | ||||
\(193\) | 20.6101 | 1.48354 | 0.741772 | − | 0.670652i | \(-0.233985\pi\) | ||||
0.741772 | + | 0.670652i | \(0.233985\pi\) | |||||||
\(194\) | 0.803947 | + | 1.39248i | 0.0577200 | + | 0.0999740i | ||||
\(195\) | −0.628332 | − | 2.36945i | −0.0449958 | − | 0.169680i | ||||
\(196\) | 4.24735 | + | 5.56417i | 0.303382 | + | 0.397441i | ||||
\(197\) | − | 9.49837i | − | 0.676731i | −0.941015 | − | 0.338365i | \(-0.890126\pi\) | ||
0.941015 | − | 0.338365i | \(-0.109874\pi\) | |||||||
\(198\) | −0.00322214 | + | 0.623280i | −0.000228987 | + | 0.0442946i | ||||
\(199\) | 1.57005 | − | 0.906467i | 0.111298 | − | 0.0642578i | −0.443318 | − | 0.896365i | \(-0.646199\pi\) |
0.554616 | + | 0.832107i | \(0.312865\pi\) | |||||||
\(200\) | −0.866025 | − | 0.500000i | −0.0612372 | − | 0.0353553i | ||||
\(201\) | −0.0787614 | + | 0.0208860i | −0.00555540 | + | 0.00147318i | ||||
\(202\) | 5.28971 | + | 3.05401i | 0.372183 | + | 0.214880i | ||||
\(203\) | 1.19891 | + | 18.6510i | 0.0841468 | + | 1.30905i | ||||
\(204\) | −1.66243 | − | 1.67105i | −0.116394 | − | 0.116997i | ||||
\(205\) | −2.82489 | −0.197299 | ||||||||
\(206\) | 3.30820 | + | 5.72998i | 0.230493 | + | 0.399226i | ||||
\(207\) | 9.67799 | − | 16.5644i | 0.672667 | − | 1.15131i | ||||
\(208\) | −1.22567 | − | 0.707642i | −0.0849851 | − | 0.0490661i | ||||
\(209\) | −0.687516 | − | 1.19081i | −0.0475565 | − | 0.0823702i | ||||
\(210\) | 1.45634 | + | 4.34501i | 0.100497 | + | 0.299834i | ||||
\(211\) | 11.3768 | − | 19.7053i | 0.783214 | − | 1.35657i | −0.146847 | − | 0.989159i | \(-0.546912\pi\) |
0.930060 | − | 0.367407i | \(-0.119754\pi\) | |||||||
\(212\) | −8.40507 | + | 4.85267i | −0.577262 | + | 0.333283i | ||||
\(213\) | −1.53406 | − | 5.78496i | −0.105112 | − | 0.396379i | ||||
\(214\) | 2.68420 | − | 4.64917i | 0.183488 | − | 0.317811i | ||||
\(215\) | 1.06723 | − | 1.84849i | 0.0727844 | − | 0.126066i | ||||
\(216\) | −3.64563 | − | 3.70262i | −0.248054 | − | 0.251931i | ||||
\(217\) | 11.2526 | + | 5.56679i | 0.763879 | + | 0.377898i | ||||
\(218\) | 15.8011 | − | 9.12274i | 1.07018 | − | 0.617870i | ||||
\(219\) | 16.4178 | − | 16.3332i | 1.10941 | − | 1.10369i | ||||
\(220\) | − | 0.207763i | − | 0.0140074i | ||||||
\(221\) | 1.92605i | 0.129560i | ||||||||
\(222\) | 4.44346 | + | 1.20294i | 0.298226 | + | 0.0807361i | ||||
\(223\) | 8.80329 | − | 5.08258i | 0.589512 | − | 0.340355i | −0.175393 | − | 0.984499i | \(-0.556119\pi\) |
0.764904 | + | 0.644144i | \(0.222786\pi\) | |||||||
\(224\) | 2.37143 | + | 1.17317i | 0.158448 | + | 0.0783856i | ||||
\(225\) | −0.0155088 | + | 2.99996i | −0.00103392 | + | 0.199997i | ||||
\(226\) | −2.10372 | + | 3.64375i | −0.139937 | + | 0.242379i | ||||
\(227\) | 8.59635 | − | 14.8893i | 0.570560 | − | 0.988238i | −0.425949 | − | 0.904747i | \(-0.640060\pi\) |
0.996509 | − | 0.0834912i | \(-0.0266070\pi\) | |||||||
\(228\) | 11.0649 | + | 2.99551i | 0.732791 | + | 0.198382i | ||||
\(229\) | −3.11150 | + | 1.79643i | −0.205614 | + | 0.118711i | −0.599271 | − | 0.800546i | \(-0.704543\pi\) |
0.393657 | + | 0.919257i | \(0.371210\pi\) | |||||||
\(230\) | −3.19741 | + | 5.53808i | −0.210831 | + | 0.365170i | ||||
\(231\) | −0.630501 | + | 0.713401i | −0.0414839 | + | 0.0469383i | ||||
\(232\) | 3.53199 | + | 6.11758i | 0.231886 | + | 0.401639i | ||||
\(233\) | −18.4117 | − | 10.6300i | −1.20619 | − | 0.696396i | −0.244268 | − | 0.969708i | \(-0.578548\pi\) |
−0.961926 | + | 0.273312i | \(0.911881\pi\) | |||||||
\(234\) | −0.0219493 | + | 4.24580i | −0.00143487 | + | 0.277556i | ||||
\(235\) | 0.0573414 | + | 0.0993182i | 0.00374054 | + | 0.00647881i | ||||
\(236\) | −8.68947 | −0.565636 | ||||||||
\(237\) | −26.7085 | + | 7.08258i | −1.73490 | + | 0.460063i | ||||
\(238\) | −0.230973 | − | 3.59317i | −0.0149717 | − | 0.232911i | ||||
\(239\) | −4.18867 | − | 2.41833i | −0.270943 | − | 0.156429i | 0.358373 | − | 0.933578i | \(-0.383331\pi\) |
−0.629316 | + | 0.777150i | \(0.716665\pi\) | |||||||
\(240\) | 1.22158 | + | 1.22791i | 0.0788523 | + | 0.0792610i | ||||
\(241\) | 1.39424 | + | 0.804962i | 0.0898106 | + | 0.0518522i | 0.544233 | − | 0.838934i | \(-0.316821\pi\) |
−0.454422 | + | 0.890786i | \(0.650154\pi\) | |||||||
\(242\) | −9.48890 | + | 5.47842i | −0.609969 | + | 0.352166i | ||||
\(243\) | −4.22885 | + | 15.0039i | −0.271281 | + | 0.962500i | ||||
\(244\) | 2.13738i | 0.136832i | ||||||||
\(245\) | −2.69504 | + | 6.46040i | −0.172180 | + | 0.412740i | ||||
\(246\) | 4.72285 | + | 1.27858i | 0.301118 | + | 0.0815191i | ||||
\(247\) | −4.68338 | − | 8.11184i | −0.297996 | − | 0.516144i | ||||
\(248\) | 4.74509 | 0.301314 | ||||||||
\(249\) | −19.6922 | − | 19.7942i | −1.24794 | − | 1.25441i | ||||
\(250\) | − | 1.00000i | − | 0.0632456i | ||||||
\(251\) | −2.86313 | −0.180719 | −0.0903596 | − | 0.995909i | \(-0.528802\pi\) | ||||
−0.0903596 | + | 0.995909i | \(0.528802\pi\) | |||||||
\(252\) | −0.468209 | − | 7.92343i | −0.0294944 | − | 0.499129i | ||||
\(253\) | −1.32860 | −0.0835287 | ||||||||
\(254\) | 14.9591i | 0.938620i | ||||||||
\(255\) | 0.615955 | − | 2.27524i | 0.0385726 | − | 0.142481i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −15.7357 | − | 27.2551i | −0.981567 | − | 1.70012i | −0.656297 | − | 0.754503i | \(-0.727878\pi\) |
−0.325270 | − | 0.945621i | \(-0.605455\pi\) | |||||||
\(258\) | −2.62091 | + | 2.60740i | −0.163171 | + | 0.162330i | ||||
\(259\) | 3.89932 | + | 5.85166i | 0.242292 | + | 0.363604i | ||||
\(260\) | − | 1.41528i | − | 0.0877722i | ||||||
\(261\) | 10.6907 | − | 18.2977i | 0.661738 | − | 1.13260i | ||||
\(262\) | −14.5432 | + | 8.39654i | −0.898484 | + | 0.518740i | ||||
\(263\) | −2.85184 | − | 1.64651i | −0.175852 | − | 0.101528i | 0.409490 | − | 0.912314i | \(-0.365706\pi\) |
−0.585342 | + | 0.810786i | \(0.699040\pi\) | |||||||
\(264\) | −0.0940356 | + | 0.347352i | −0.00578749 | + | 0.0213780i | ||||
\(265\) | −8.40507 | − | 4.85267i | −0.516319 | − | 0.298097i | ||||
\(266\) | 9.70991 | + | 14.5715i | 0.595353 | + | 0.893438i | ||||
\(267\) | −1.27615 | + | 4.71388i | −0.0780990 | + | 0.288485i | ||||
\(268\) | −0.0470446 | −0.00287371 | ||||||||
\(269\) | −9.44456 | − | 16.3585i | −0.575845 | − | 0.997393i | −0.995949 | − | 0.0899173i | \(-0.971340\pi\) |
0.420104 | − | 0.907476i | \(-0.361994\pi\) | |||||||
\(270\) | 1.38374 | − | 5.00852i | 0.0842119 | − | 0.304809i | ||||
\(271\) | 2.78962 | + | 1.61059i | 0.169457 | + | 0.0978362i | 0.582330 | − | 0.812953i | \(-0.302141\pi\) |
−0.412873 | + | 0.910789i | \(0.635475\pi\) | |||||||
\(272\) | −0.680447 | − | 1.17857i | −0.0412582 | − | 0.0714612i | ||||
\(273\) | −4.29499 | + | 4.85970i | −0.259944 | + | 0.294123i | ||||
\(274\) | 1.69594 | − | 2.93746i | 0.102456 | − | 0.177459i | ||||
\(275\) | 0.179928 | − | 0.103881i | 0.0108500 | − | 0.00626428i | ||||
\(276\) | 7.85224 | − | 7.81175i | 0.472649 | − | 0.470212i | ||||
\(277\) | −0.0594767 | + | 0.103017i | −0.00357361 | + | 0.00618967i | −0.867807 | − | 0.496902i | \(-0.834471\pi\) |
0.864233 | + | 0.503092i | \(0.167804\pi\) | |||||||
\(278\) | −2.93099 | + | 5.07662i | −0.175789 | + | 0.304475i | ||||
\(279\) | −7.05381 | − | 12.3647i | −0.422301 | − | 0.740258i | ||||
\(280\) | 0.169721 | + | 2.64030i | 0.0101428 | + | 0.157788i | ||||
\(281\) | −11.3489 | + | 6.55231i | −0.677021 | + | 0.390878i | −0.798732 | − | 0.601688i | \(-0.794495\pi\) |
0.121711 | + | 0.992566i | \(0.461162\pi\) | |||||||
\(282\) | −0.0509148 | − | 0.192000i | −0.00303193 | − | 0.0114335i | ||||
\(283\) | 25.0528i | 1.48923i | 0.667492 | + | 0.744617i | \(0.267368\pi\) | ||||
−0.667492 | + | 0.744617i | \(0.732632\pi\) | |||||||
\(284\) | − | 3.45539i | − | 0.205040i | ||||||
\(285\) | 2.93826 | + | 11.0802i | 0.174048 | + | 0.656336i | ||||
\(286\) | 0.254649 | − | 0.147022i | 0.0150577 | − | 0.00869357i | ||||
\(287\) | 4.14450 | + | 6.21959i | 0.244642 | + | 0.367131i | ||||
\(288\) | −1.48655 | − | 2.60580i | −0.0875957 | − | 0.153548i | ||||
\(289\) | 7.57398 | − | 13.1185i | 0.445528 | − | 0.771678i | ||||
\(290\) | −3.53199 | + | 6.11758i | −0.207405 | + | 0.359237i | ||||
\(291\) | 1.97434 | − | 1.96416i | 0.115738 | − | 0.115141i | ||||
\(292\) | 11.5793 | − | 6.68529i | 0.677625 | − | 0.391227i | ||||
\(293\) | 0.727716 | − | 1.26044i | 0.0425136 | − | 0.0736358i | −0.843986 | − | 0.536366i | \(-0.819797\pi\) |
0.886499 | + | 0.462730i | \(0.153130\pi\) | |||||||
\(294\) | 7.42979 | − | 9.58114i | 0.433314 | − | 0.558783i | ||||
\(295\) | −4.34473 | − | 7.52530i | −0.252960 | − | 0.438140i | ||||
\(296\) | 2.30171 | + | 1.32889i | 0.133784 | + | 0.0772402i | ||||
\(297\) | 1.04492 | − | 0.271318i | 0.0606322 | − | 0.0157435i | ||||
\(298\) | −11.1816 | − | 19.3671i | −0.647733 | − | 1.12191i | ||||
\(299\) | −9.05049 | −0.523403 | ||||||||
\(300\) | −0.452611 | + | 1.67187i | −0.0261315 | + | 0.0965254i | ||||
\(301\) | −5.63561 | + | 0.362263i | −0.324831 | + | 0.0208805i | ||||
\(302\) | 10.9325 | + | 6.31191i | 0.629097 | + | 0.363209i | ||||
\(303\) | 2.76456 | − | 10.2118i | 0.158820 | − | 0.586654i | ||||
\(304\) | 5.73160 | + | 3.30914i | 0.328730 | + | 0.189792i | ||||
\(305\) | −1.85102 | + | 1.06869i | −0.105989 | + | 0.0611930i | ||||
\(306\) | −2.05959 | + | 3.52511i | −0.117739 | + | 0.201517i | ||||
\(307\) | − | 0.302317i | − | 0.0172541i | −0.999963 | − | 0.00862706i | \(-0.997254\pi\) | ||
0.999963 | − | 0.00862706i | \(-0.00274611\pi\) | |||||||
\(308\) | −0.457433 | + | 0.304816i | −0.0260646 | + | 0.0173685i | ||||
\(309\) | 8.12433 | − | 8.08244i | 0.462177 | − | 0.459794i | ||||
\(310\) | 2.37255 | + | 4.10937i | 0.134752 | + | 0.233396i | ||||
\(311\) | 0.317161 | 0.0179846 | 0.00899228 | − | 0.999960i | \(-0.497138\pi\) | ||||
0.00899228 | + | 0.999960i | \(0.497138\pi\) | |||||||
\(312\) | −0.640573 | + | 2.36617i | −0.0362653 | + | 0.133958i | ||||
\(313\) | − | 21.1311i | − | 1.19440i | −0.802091 | − | 0.597201i | \(-0.796279\pi\) | ||
0.802091 | − | 0.597201i | \(-0.203721\pi\) | |||||||
\(314\) | 5.80220 | 0.327437 | ||||||||
\(315\) | 6.62779 | − | 4.36720i | 0.373434 | − | 0.246064i | ||||
\(316\) | −15.9531 | −0.897434 | ||||||||
\(317\) | − | 10.1784i | − | 0.571674i | −0.958278 | − | 0.285837i | \(-0.907728\pi\) | ||
0.958278 | − | 0.285837i | \(-0.0922715\pi\) | |||||||
\(318\) | 11.8558 | + | 11.9172i | 0.664840 | + | 0.668286i | ||||
\(319\) | −1.46763 | −0.0821715 | ||||||||
\(320\) | 0.500000 | + | 0.866025i | 0.0279508 | + | 0.0484123i | ||||
\(321\) | −8.97526 | − | 2.42980i | −0.500950 | − | 0.135618i | ||||
\(322\) | 16.8843 | − | 1.08534i | 0.940923 | − | 0.0604835i | ||||
\(323\) | − | 9.00678i | − | 0.501151i | ||||||
\(324\) | −4.58034 | + | 7.74729i | −0.254464 | + | 0.430405i | ||||
\(325\) | 1.22567 | − | 0.707642i | 0.0679880 | − | 0.0392529i | ||||
\(326\) | −15.5658 | − | 8.98690i | −0.862108 | − | 0.497738i | ||||
\(327\) | −22.2882 | − | 22.4038i | −1.23254 | − | 1.23893i | ||||
\(328\) | 2.44643 | + | 1.41245i | 0.135081 | + | 0.0779893i | ||||
\(329\) | 0.134542 | − | 0.271962i | 0.00741755 | − | 0.0149938i | ||||
\(330\) | −0.347833 | + | 0.0922387i | −0.0191476 | + | 0.00507757i | ||||
\(331\) | −22.1801 | −1.21913 | −0.609566 | − | 0.792736i | \(-0.708656\pi\) | ||||
−0.609566 | + | 0.792736i | \(0.708656\pi\) | |||||||
\(332\) | −8.06016 | − | 13.9606i | −0.442359 | − | 0.766187i | ||||
\(333\) | 0.0412189 | − | 7.97324i | 0.00225878 | − | 0.436931i | ||||
\(334\) | −8.66956 | − | 5.00537i | −0.474377 | − | 0.273882i | ||||
\(335\) | −0.0235223 | − | 0.0407418i | −0.00128516 | − | 0.00222596i | ||||
\(336\) | 0.911277 | − | 4.49105i | 0.0497143 | − | 0.245007i | ||||
\(337\) | −13.9347 | + | 24.1356i | −0.759070 | + | 1.31475i | 0.184256 | + | 0.982878i | \(0.441013\pi\) |
−0.943325 | + | 0.331869i | \(0.892321\pi\) | |||||||
\(338\) | −9.52366 | + | 5.49849i | −0.518019 | + | 0.299078i | ||||
\(339\) | 7.03428 | + | 1.90433i | 0.382050 | + | 0.103429i | ||||
\(340\) | 0.680447 | − | 1.17857i | 0.0369024 | − | 0.0639169i | ||||
\(341\) | −0.492926 | + | 0.853773i | −0.0266935 | + | 0.0462344i | ||||
\(342\) | 0.102641 | − | 19.8546i | 0.00555021 | − | 1.07361i | ||||
\(343\) | 18.1779 | − | 3.54459i | 0.981514 | − | 0.191390i | ||||
\(344\) | −1.84849 | + | 1.06723i | −0.0996641 | + | 0.0575411i | ||||
\(345\) | 10.6913 | + | 2.89436i | 0.575600 | + | 0.155827i | ||||
\(346\) | − | 7.20429i | − | 0.387305i | ||||||
\(347\) | 8.89161i | 0.477327i | 0.971102 | + | 0.238663i | \(0.0767093\pi\) | ||||
−0.971102 | + | 0.238663i | \(0.923291\pi\) | |||||||
\(348\) | 8.67390 | − | 8.62918i | 0.464970 | − | 0.462572i | ||||
\(349\) | 22.9898 | − | 13.2732i | 1.23062 | − | 0.710497i | 0.263459 | − | 0.964671i | \(-0.415137\pi\) |
0.967159 | + | 0.254173i | \(0.0818033\pi\) | |||||||
\(350\) | −2.20171 | + | 1.46713i | −0.117686 | + | 0.0784216i | ||||
\(351\) | 7.11800 | − | 1.84822i | 0.379930 | − | 0.0986509i | ||||
\(352\) | −0.103881 | + | 0.179928i | −0.00553689 | + | 0.00959018i | ||||
\(353\) | 14.9024 | − | 25.8117i | 0.793175 | − | 1.37382i | −0.130817 | − | 0.991407i | \(-0.541760\pi\) |
0.923992 | − | 0.382412i | \(-0.124907\pi\) | |||||||
\(354\) | 3.85779 | + | 14.5478i | 0.205039 | + | 0.773206i | ||||
\(355\) | 2.99245 | − | 1.72769i | 0.158823 | − | 0.0916965i | ||||
\(356\) | −1.40976 | + | 2.44178i | −0.0747173 | + | 0.129414i | ||||
\(357\) | −5.91309 | + | 1.98192i | −0.312954 | + | 0.104894i | ||||
\(358\) | 7.33833 | + | 12.7104i | 0.387843 | + | 0.671763i | ||||
\(359\) | −14.6722 | − | 8.47101i | −0.774370 | − | 0.447083i | 0.0600612 | − | 0.998195i | \(-0.480870\pi\) |
−0.834431 | + | 0.551112i | \(0.814204\pi\) | |||||||
\(360\) | 1.51341 | − | 2.59029i | 0.0797638 | − | 0.136520i | ||||
\(361\) | 12.4008 | + | 21.4789i | 0.652675 | + | 1.13047i | ||||
\(362\) | 20.6504 | 1.08536 | ||||||||
\(363\) | 13.3846 | + | 13.4540i | 0.702509 | + | 0.706150i | ||||
\(364\) | −3.11604 | + | 2.07641i | −0.163325 | + | 0.108834i | ||||
\(365\) | 11.5793 | + | 6.68529i | 0.606086 | + | 0.349924i | ||||
\(366\) | 3.57837 | − | 0.948914i | 0.187044 | − | 0.0496005i | ||||
\(367\) | 18.2244 | + | 10.5218i | 0.951305 | + | 0.549236i | 0.893486 | − | 0.449091i | \(-0.148252\pi\) |
0.0578186 | + | 0.998327i | \(0.481585\pi\) | |||||||
\(368\) | 5.53808 | − | 3.19741i | 0.288692 | − | 0.166677i | ||||
\(369\) | 0.0438106 | − | 8.47457i | 0.00228069 | − | 0.441168i | ||||
\(370\) | 2.65778i | 0.138171i | ||||||||
\(371\) | 1.64720 | + | 25.6250i | 0.0855184 | + | 1.33038i | ||||
\(372\) | −2.10664 | − | 7.94416i | −0.109224 | − | 0.411886i | ||||
\(373\) | 5.61566 | + | 9.72660i | 0.290768 | + | 0.503624i | 0.973991 | − | 0.226585i | \(-0.0727560\pi\) |
−0.683224 | + | 0.730209i | \(0.739423\pi\) | |||||||
\(374\) | 0.282743 | 0.0146203 | ||||||||
\(375\) | −1.67419 | + | 0.443962i | −0.0864546 | + | 0.0229261i | ||||
\(376\) | − | 0.114683i | − | 0.00591431i | ||||||
\(377\) | −9.99753 | −0.514899 | ||||||||
\(378\) | −13.0574 | + | 4.30157i | −0.671602 | + | 0.221249i | ||||
\(379\) | 2.41836 | 0.124223 | 0.0621113 | − | 0.998069i | \(-0.480217\pi\) | ||||
0.0621113 | + | 0.998069i | \(0.480217\pi\) | |||||||
\(380\) | 6.61828i | 0.339511i | ||||||||
\(381\) | 25.0444 | − | 6.64129i | 1.28306 | − | 0.340243i | ||||
\(382\) | 21.9525 | 1.12319 | ||||||||
\(383\) | −8.75083 | − | 15.1569i | −0.447146 | − | 0.774480i | 0.551053 | − | 0.834471i | \(-0.314226\pi\) |
−0.998199 | + | 0.0599902i | \(0.980893\pi\) | |||||||
\(384\) | −0.443962 | − | 1.67419i | −0.0226558 | − | 0.0854354i | ||||
\(385\) | −0.492694 | − | 0.243740i | −0.0251100 | − | 0.0124222i | ||||
\(386\) | − | 20.6101i | − | 1.04902i | ||||||
\(387\) | 5.52885 | + | 3.23031i | 0.281047 | + | 0.164206i | ||||
\(388\) | 1.39248 | − | 0.803947i | 0.0706923 | − | 0.0408142i | ||||
\(389\) | −5.81070 | − | 3.35481i | −0.294614 | − | 0.170096i | 0.345407 | − | 0.938453i | \(-0.387741\pi\) |
−0.640021 | + | 0.768358i | \(0.721074\pi\) | |||||||
\(390\) | −2.36945 | + | 0.628332i | −0.119982 | + | 0.0318168i | ||||
\(391\) | −7.53673 | − | 4.35134i | −0.381149 | − | 0.220057i | ||||
\(392\) | 5.56417 | − | 4.24735i | 0.281033 | − | 0.214524i | ||||
\(393\) | 20.5140 | + | 20.6203i | 1.03479 | + | 1.04016i | ||||
\(394\) | −9.49837 | −0.478521 | ||||||||
\(395\) | −7.97657 | − | 13.8158i | −0.401345 | − | 0.695149i | ||||
\(396\) | 0.623280 | + | 0.00322214i | 0.0313210 | + | 0.000161919i | ||||
\(397\) | 6.02981 | + | 3.48131i | 0.302628 | + | 0.174722i | 0.643623 | − | 0.765343i | \(-0.277431\pi\) |
−0.340995 | + | 0.940065i | \(0.610764\pi\) | |||||||
\(398\) | −0.906467 | − | 1.57005i | −0.0454371 | − | 0.0786994i | ||||
\(399\) | 20.0846 | − | 22.7254i | 1.00549 | − | 1.13769i | ||||
\(400\) | −0.500000 | + | 0.866025i | −0.0250000 | + | 0.0433013i | ||||
\(401\) | −10.0251 | + | 5.78798i | −0.500629 | + | 0.289038i | −0.728973 | − | 0.684542i | \(-0.760002\pi\) |
0.228345 | + | 0.973580i | \(0.426669\pi\) | |||||||
\(402\) | 0.0208860 | + | 0.0787614i | 0.00104170 | + | 0.00392826i | ||||
\(403\) | −3.35783 | + | 5.81593i | −0.167265 | + | 0.289712i | ||||
\(404\) | 3.05401 | − | 5.28971i | 0.151943 | − | 0.263173i | ||||
\(405\) | −8.99952 | − | 0.0930513i | −0.447190 | − | 0.00462376i | ||||
\(406\) | 18.6510 | − | 1.19891i | 0.925635 | − | 0.0595008i | ||||
\(407\) | −0.478209 | + | 0.276094i | −0.0237039 | + | 0.0136855i | ||||
\(408\) | −1.67105 | + | 1.66243i | −0.0827293 | + | 0.0823028i | ||||
\(409\) | 36.3280i | 1.79630i | 0.439686 | + | 0.898151i | \(0.355090\pi\) | ||||
−0.439686 | + | 0.898151i | \(0.644910\pi\) | |||||||
\(410\) | 2.82489i | 0.139512i | ||||||||
\(411\) | −5.67079 | − | 1.53521i | −0.279720 | − | 0.0757261i | ||||
\(412\) | 5.72998 | − | 3.30820i | 0.282296 | − | 0.162983i | ||||
\(413\) | −10.1942 | + | 20.6065i | −0.501624 | + | 1.01398i | ||||
\(414\) | −16.5644 | − | 9.67799i | −0.814097 | − | 0.475647i | ||||
\(415\) | 8.06016 | − | 13.9606i | 0.395657 | − | 0.685299i | ||||
\(416\) | −0.707642 | + | 1.22567i | −0.0346950 | + | 0.0600935i | ||||
\(417\) | 9.80044 | + | 2.65319i | 0.479930 | + | 0.129927i | ||||
\(418\) | −1.19081 | + | 0.687516i | −0.0582445 | + | 0.0336275i | ||||
\(419\) | −16.0393 | + | 27.7808i | −0.783570 | + | 1.35718i | 0.146280 | + | 0.989243i | \(0.453270\pi\) |
−0.929850 | + | 0.367939i | \(0.880063\pi\) | |||||||
\(420\) | 4.34501 | − | 1.45634i | 0.212015 | − | 0.0710620i | ||||
\(421\) | −5.92162 | − | 10.2565i | −0.288602 | − | 0.499873i | 0.684874 | − | 0.728661i | \(-0.259857\pi\) |
−0.973476 | + | 0.228788i | \(0.926524\pi\) | |||||||
\(422\) | −19.7053 | − | 11.3768i | −0.959237 | − | 0.553816i | ||||
\(423\) | −0.298840 | + | 0.170482i | −0.0145301 | + | 0.00828910i | ||||
\(424\) | 4.85267 | + | 8.40507i | 0.235666 | + | 0.408186i | ||||
\(425\) | 1.36089 | 0.0660131 | ||||||||
\(426\) | −5.78496 | + | 1.53406i | −0.280282 | + | 0.0743254i | ||||
\(427\) | 5.06864 | + | 2.50750i | 0.245289 | + | 0.121347i | ||||
\(428\) | −4.64917 | − | 2.68420i | −0.224726 | − | 0.129746i | ||||
\(429\) | −0.359196 | − | 0.361058i | −0.0173421 | − | 0.0174320i | ||||
\(430\) | −1.84849 | − | 1.06723i | −0.0891423 | − | 0.0514663i | ||||
\(431\) | −28.2466 | + | 16.3082i | −1.36059 | + | 0.785538i | −0.989703 | − | 0.143139i | \(-0.954280\pi\) |
−0.370890 | + | 0.928677i | \(0.620947\pi\) | |||||||
\(432\) | −3.70262 | + | 3.64563i | −0.178142 | + | 0.175401i | ||||
\(433\) | 1.82172i | 0.0875462i | 0.999041 | + | 0.0437731i | \(0.0139379\pi\) | ||||
−0.999041 | + | 0.0437731i | \(0.986062\pi\) | |||||||
\(434\) | 5.56679 | − | 11.2526i | 0.267214 | − | 0.540144i | ||||
\(435\) | 11.8100 | + | 3.19723i | 0.566248 | + | 0.153296i | ||||
\(436\) | −9.12274 | − | 15.8011i | −0.436900 | − | 0.756733i | ||||
\(437\) | 42.3227 | 2.02457 | ||||||||
\(438\) | −16.3332 | − | 16.4178i | −0.780429 | − | 0.784474i | ||||
\(439\) | 23.8749i | 1.13949i | 0.821822 | + | 0.569744i | \(0.192958\pi\) | ||||
−0.821822 | + | 0.569744i | \(0.807042\pi\) | |||||||
\(440\) | −0.207763 | −0.00990470 | ||||||||
\(441\) | −19.3391 | − | 8.18519i | −0.920912 | − | 0.389771i | ||||
\(442\) | 1.92605 | 0.0916129 | ||||||||
\(443\) | 23.6199i | 1.12222i | 0.827742 | + | 0.561109i | \(0.189625\pi\) | ||||
−0.827742 | + | 0.561109i | \(0.810375\pi\) | |||||||
\(444\) | 1.20294 | − | 4.44346i | 0.0570890 | − | 0.210877i | ||||
\(445\) | −2.81953 | −0.133658 | ||||||||
\(446\) | −5.08258 | − | 8.80329i | −0.240667 | − | 0.416848i | ||||
\(447\) | −27.4599 | + | 27.3183i | −1.29881 | + | 1.29211i | ||||
\(448\) | 1.17317 | − | 2.37143i | 0.0554270 | − | 0.112040i | ||||
\(449\) | − | 33.6640i | − | 1.58870i | −0.607459 | − | 0.794351i | \(-0.707811\pi\) | ||
0.607459 | − | 0.794351i | \(-0.292189\pi\) | |||||||
\(450\) | 2.99996 | + | 0.0155088i | 0.141419 | + | 0.000731090i | ||||
\(451\) | −0.508277 | + | 0.293454i | −0.0239338 | + | 0.0138182i | ||||
\(452\) | 3.64375 | + | 2.10372i | 0.171387 | + | 0.0989506i | ||||
\(453\) | 5.71367 | − | 21.1053i | 0.268452 | − | 0.991616i | ||||
\(454\) | −14.8893 | − | 8.59635i | −0.698790 | − | 0.403447i | ||||
\(455\) | −3.35625 | − | 1.66037i | −0.157343 | − | 0.0778392i | ||||
\(456\) | 2.99551 | − | 11.0649i | 0.140277 | − | 0.518161i | ||||
\(457\) | 18.1990 | 0.851316 | 0.425658 | − | 0.904884i | \(-0.360043\pi\) | ||||
0.425658 | + | 0.904884i | \(0.360043\pi\) | |||||||
\(458\) | 1.79643 | + | 3.11150i | 0.0839415 | + | 0.145391i | ||||
\(459\) | 6.81606 | + | 1.88313i | 0.318147 | + | 0.0878968i | ||||
\(460\) | 5.53808 | + | 3.19741i | 0.258214 | + | 0.149080i | ||||
\(461\) | 7.33169 | + | 12.6989i | 0.341471 | + | 0.591445i | 0.984706 | − | 0.174224i | \(-0.0557415\pi\) |
−0.643235 | + | 0.765669i | \(0.722408\pi\) | |||||||
\(462\) | 0.713401 | + | 0.630501i | 0.0331904 | + | 0.0293335i | ||||
\(463\) | −3.20796 | + | 5.55635i | −0.149087 | + | 0.258226i | −0.930890 | − | 0.365299i | \(-0.880967\pi\) |
0.781804 | + | 0.623525i | \(0.214300\pi\) | |||||||
\(464\) | 6.11758 | − | 3.53199i | 0.284002 | − | 0.163968i | ||||
\(465\) | 5.82653 | − | 5.79648i | 0.270199 | − | 0.268806i | ||||
\(466\) | −10.6300 | + | 18.4117i | −0.492426 | + | 0.852907i | ||||
\(467\) | 13.0712 | − | 22.6399i | 0.604862 | − | 1.04765i | −0.387212 | − | 0.921991i | \(-0.626562\pi\) |
0.992073 | − | 0.125660i | \(-0.0401049\pi\) | |||||||
\(468\) | 4.24580 | + | 0.0219493i | 0.196262 | + | 0.00101461i | ||||
\(469\) | −0.0551912 | + | 0.111563i | −0.00254849 | + | 0.00515150i | ||||
\(470\) | 0.0993182 | − | 0.0573414i | 0.00458121 | − | 0.00264496i | ||||
\(471\) | −2.57595 | − | 9.71395i | −0.118694 | − | 0.447595i | ||||
\(472\) | 8.68947i | 0.399965i | ||||||||
\(473\) | − | 0.443460i | − | 0.0203903i | ||||||
\(474\) | 7.08258 | + | 26.7085i | 0.325314 | + | 1.22676i | ||||
\(475\) | −5.73160 | + | 3.30914i | −0.262984 | + | 0.151834i | ||||
\(476\) | −3.59317 | + | 0.230973i | −0.164693 | + | 0.0105866i | ||||
\(477\) | 14.6882 | − | 25.1396i | 0.672525 | − | 1.15106i | ||||
\(478\) | −2.41833 | + | 4.18867i | −0.110612 | + | 0.191585i | ||||
\(479\) | 16.8626 | − | 29.2068i | 0.770470 | − | 1.33449i | −0.166835 | − | 0.985985i | \(-0.553355\pi\) |
0.937306 | − | 0.348509i | \(-0.113312\pi\) | |||||||
\(480\) | 1.22791 | − | 1.22158i | 0.0560460 | − | 0.0557570i | ||||
\(481\) | −3.25757 | + | 1.88076i | −0.148532 | + | 0.0857552i | ||||
\(482\) | 0.804962 | − | 1.39424i | 0.0366650 | − | 0.0635057i | ||||
\(483\) | −9.31302 | − | 27.7855i | −0.423757 | − | 1.26429i | ||||
\(484\) | 5.47842 | + | 9.48890i | 0.249019 | + | 0.431314i | ||||
\(485\) | 1.39248 | + | 0.803947i | 0.0632291 | + | 0.0365053i | ||||
\(486\) | 15.0039 | + | 4.22885i | 0.680590 | + | 0.191824i | ||||
\(487\) | 3.38529 | + | 5.86349i | 0.153402 | + | 0.265700i | 0.932476 | − | 0.361232i | \(-0.117644\pi\) |
−0.779074 | + | 0.626932i | \(0.784310\pi\) | |||||||
\(488\) | 2.13738 | 0.0967546 | ||||||||
\(489\) | −8.13513 | + | 30.0498i | −0.367883 | + | 1.35890i | ||||
\(490\) | 6.46040 | + | 2.69504i | 0.291851 | + | 0.121749i | ||||
\(491\) | −7.86871 | − | 4.54300i | −0.355110 | − | 0.205023i | 0.311824 | − | 0.950140i | \(-0.399060\pi\) |
−0.666934 | + | 0.745117i | \(0.732393\pi\) | |||||||
\(492\) | 1.27858 | − | 4.72285i | 0.0576427 | − | 0.212923i | ||||
\(493\) | −8.32538 | − | 4.80666i | −0.374956 | − | 0.216481i | ||||
\(494\) | −8.11184 | + | 4.68338i | −0.364969 | + | 0.210715i | ||||
\(495\) | 0.308849 | + | 0.541387i | 0.0138817 | + | 0.0243335i | ||||
\(496\) | − | 4.74509i | − | 0.213061i | ||||||
\(497\) | −8.19421 | − | 4.05375i | −0.367560 | − | 0.181836i | ||||
\(498\) | −19.7942 | + | 19.6922i | −0.887001 | + | 0.882427i | ||||
\(499\) | 21.0294 | + | 36.4240i | 0.941407 | + | 1.63056i | 0.762791 | + | 0.646645i | \(0.223829\pi\) |
0.178616 | + | 0.983919i | \(0.442838\pi\) | |||||||
\(500\) | −1.00000 | −0.0447214 | ||||||||
\(501\) | −4.53097 | + | 16.7366i | −0.202429 | + | 0.747738i | ||||
\(502\) | 2.86313i | 0.127788i | ||||||||
\(503\) | 19.9162 | 0.888021 | 0.444011 | − | 0.896021i | \(-0.353555\pi\) | ||||
0.444011 | + | 0.896021i | \(0.353555\pi\) | |||||||
\(504\) | −7.92343 | + | 0.468209i | −0.352938 | + | 0.0208557i | ||||
\(505\) | 6.10803 | 0.271804 | ||||||||
\(506\) | 1.32860i | 0.0590637i | ||||||||
\(507\) | 13.4336 | + | 13.5033i | 0.596608 | + | 0.599700i | ||||
\(508\) | 14.9591 | 0.663704 | ||||||||
\(509\) | 12.0143 | + | 20.8094i | 0.532524 | + | 0.922359i | 0.999279 | + | 0.0379721i | \(0.0120898\pi\) |
−0.466755 | + | 0.884387i | \(0.654577\pi\) | |||||||
\(510\) | −2.27524 | − | 0.615955i | −0.100749 | − | 0.0272750i | ||||
\(511\) | −2.26927 | − | 35.3024i | −0.100387 | − | 1.56168i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −33.2858 | + | 8.64284i | −1.46961 | + | 0.381590i | ||||
\(514\) | −27.2551 | + | 15.7357i | −1.20217 | + | 0.694073i | ||||
\(515\) | 5.72998 | + | 3.30820i | 0.252493 | + | 0.145777i | ||||
\(516\) | 2.60740 | + | 2.62091i | 0.114784 | + | 0.115379i | ||||
\(517\) | 0.0206346 | + | 0.0119134i | 0.000907509 | + | 0.000523951i | ||||
\(518\) | 5.85166 | − | 3.89932i | 0.257107 | − | 0.171326i | ||||
\(519\) | −12.0613 | + | 3.19843i | −0.529433 | + | 0.140395i | ||||
\(520\) | −1.41528 | −0.0620643 | ||||||||
\(521\) | 16.5020 | + | 28.5823i | 0.722965 | + | 1.25221i | 0.959806 | + | 0.280663i | \(0.0905545\pi\) |
−0.236841 | + | 0.971548i | \(0.576112\pi\) | |||||||
\(522\) | −18.2977 | − | 10.6907i | −0.800870 | − | 0.467919i | ||||
\(523\) | −26.4518 | − | 15.2720i | −1.15666 | − | 0.667797i | −0.206157 | − | 0.978519i | \(-0.566096\pi\) |
−0.950501 | + | 0.310722i | \(0.899429\pi\) | |||||||
\(524\) | 8.39654 | + | 14.5432i | 0.366805 | + | 0.635324i | ||||
\(525\) | 3.43373 | + | 3.03472i | 0.149860 | + | 0.132446i | ||||
\(526\) | −1.64651 | + | 2.85184i | −0.0717912 | + | 0.124346i | ||||
\(527\) | −5.59242 | + | 3.22878i | −0.243609 | + | 0.140648i | ||||
\(528\) | 0.347352 | + | 0.0940356i | 0.0151165 | + | 0.00409237i | ||||
\(529\) | 8.94686 | − | 15.4964i | 0.388994 | − | 0.673757i | ||||
\(530\) | −4.85267 | + | 8.40507i | −0.210786 | + | 0.365093i | ||||
\(531\) | 22.6430 | − | 12.9173i | 0.982622 | − | 0.560564i | ||||
\(532\) | 14.5715 | − | 9.70991i | 0.631756 | − | 0.420978i | ||||
\(533\) | −3.46239 | + | 1.99901i | −0.149973 | + | 0.0865869i | ||||
\(534\) | 4.71388 | + | 1.27615i | 0.203990 | + | 0.0552243i | ||||
\(535\) | − | 5.36840i | − | 0.232096i | ||||||
\(536\) | 0.0470446i | 0.00203202i | ||||||||
\(537\) | 18.0216 | − | 17.9286i | 0.777687 | − | 0.773678i | ||||
\(538\) | −16.3585 | + | 9.44456i | −0.705264 | + | 0.407184i | ||||
\(539\) | 0.186203 | + | 1.44237i | 0.00802034 | + | 0.0621272i | ||||
\(540\) | −5.00852 | − | 1.38374i | −0.215532 | − | 0.0595468i | ||||
\(541\) | −14.4385 | + | 25.0082i | −0.620760 | + | 1.07519i | 0.368585 | + | 0.929594i | \(0.379842\pi\) |
−0.989345 | + | 0.145593i | \(0.953491\pi\) | |||||||
\(542\) | 1.61059 | − | 2.78962i | 0.0691806 | − | 0.119824i | ||||
\(543\) | −9.16798 | − | 34.5726i | −0.393436 | − | 1.48365i | ||||
\(544\) | −1.17857 | + | 0.680447i | −0.0505307 | + | 0.0291739i | ||||
\(545\) | 9.12274 | − | 15.8011i | 0.390775 | − | 0.676843i | ||||
\(546\) | 4.85970 | + | 4.29499i | 0.207976 | + | 0.183808i | ||||
\(547\) | 14.0094 | + | 24.2650i | 0.598999 | + | 1.03750i | 0.992969 | + | 0.118374i | \(0.0377681\pi\) |
−0.393970 | + | 0.919123i | \(0.628899\pi\) | |||||||
\(548\) | −2.93746 | − | 1.69594i | −0.125482 | − | 0.0724472i | ||||
\(549\) | −3.17732 | − | 5.56957i | −0.135605 | − | 0.237703i | ||||
\(550\) | −0.103881 | − | 0.179928i | −0.00442951 | − | 0.00767214i | ||||
\(551\) | 46.7514 | 1.99168 | ||||||||
\(552\) | −7.81175 | − | 7.85224i | −0.332490 | − | 0.334214i | ||||
\(553\) | −18.7157 | + | 37.8317i | −0.795873 | + | 1.60877i | ||||
\(554\) | 0.103017 | + | 0.0594767i | 0.00437676 | + | 0.00252692i | ||||
\(555\) | 4.44962 | − | 1.17995i | 0.188876 | − | 0.0500862i | ||||
\(556\) | 5.07662 | + | 2.93099i | 0.215296 | + | 0.124301i | ||||
\(557\) | −8.62658 | + | 4.98056i | −0.365520 | + | 0.211033i | −0.671499 | − | 0.741005i | \(-0.734349\pi\) |
0.305980 | + | 0.952038i | \(0.401016\pi\) | |||||||
\(558\) | −12.3647 | + | 7.05381i | −0.523441 | + | 0.298612i | ||||
\(559\) | − | 3.02086i | − | 0.127769i | ||||||
\(560\) | 2.64030 | − | 0.169721i | 0.111573 | − | 0.00717203i | ||||
\(561\) | −0.125527 | − | 0.473364i | −0.00529976 | − | 0.0199855i | ||||
\(562\) | 6.55231 | + | 11.3489i | 0.276392 | + | 0.478726i | ||||
\(563\) | −38.5239 | −1.62359 | −0.811794 | − | 0.583945i | \(-0.801509\pi\) | ||||
−0.811794 | + | 0.583945i | \(0.801509\pi\) | |||||||
\(564\) | −0.192000 | + | 0.0509148i | −0.00808467 | + | 0.00214390i | ||||
\(565\) | 4.20744i | 0.177008i | ||||||||
\(566\) | 25.0528 | 1.05305 | ||||||||
\(567\) | 12.9986 | + | 19.9508i | 0.545891 | + | 0.837856i | ||||
\(568\) | −3.45539 | −0.144985 | ||||||||
\(569\) | 15.3964i | 0.645451i | 0.946493 | + | 0.322725i | \(0.104599\pi\) | ||||
−0.946493 | + | 0.322725i | \(0.895401\pi\) | |||||||
\(570\) | 11.0802 | − | 2.93826i | 0.464100 | − | 0.123070i | ||||
\(571\) | 4.64392 | 0.194342 | 0.0971709 | − | 0.995268i | \(-0.469021\pi\) | ||||
0.0971709 | + | 0.995268i | \(0.469021\pi\) | |||||||
\(572\) | −0.147022 | − | 0.254649i | −0.00614728 | − | 0.0106474i | ||||
\(573\) | −9.74607 | − | 36.7526i | −0.407148 | − | 1.53536i | ||||
\(574\) | 6.21959 | − | 4.14450i | 0.259601 | − | 0.172988i | ||||
\(575\) | 6.39482i | 0.266682i | ||||||||
\(576\) | −2.60580 | + | 1.48655i | −0.108575 | + | 0.0619395i | ||||
\(577\) | −16.2075 | + | 9.35741i | −0.674727 | + | 0.389554i | −0.797865 | − | 0.602836i | \(-0.794037\pi\) |
0.123138 | + | 0.992390i | \(0.460704\pi\) | |||||||
\(578\) | −13.1185 | − | 7.57398i | −0.545659 | − | 0.315036i | ||||
\(579\) | −34.5051 | + | 9.15008i | −1.43398 | + | 0.380264i | ||||
\(580\) | 6.11758 | + | 3.53199i | 0.254019 | + | 0.146658i | ||||
\(581\) | −42.5625 | + | 2.73596i | −1.76579 | + | 0.113507i | ||||
\(582\) | −1.96416 | − | 1.97434i | −0.0814172 | − | 0.0818391i | ||||
\(583\) | −2.01641 | −0.0835110 | ||||||||
\(584\) | −6.68529 | − | 11.5793i | −0.276639 | − | 0.479153i | ||||
\(585\) | 2.10389 | + | 3.68794i | 0.0869851 | + | 0.152478i | ||||
\(586\) | −1.26044 | − | 0.727716i | −0.0520684 | − | 0.0300617i | ||||
\(587\) | −5.45638 | − | 9.45073i | −0.225209 | − | 0.390073i | 0.731173 | − | 0.682192i | \(-0.238973\pi\) |
−0.956382 | + | 0.292119i | \(0.905640\pi\) | |||||||
\(588\) | −9.58114 | − | 7.42979i | −0.395119 | − | 0.306399i | ||||
\(589\) | 15.7022 | − | 27.1970i | 0.646997 | − | 1.12063i | ||||
\(590\) | −7.52530 | + | 4.34473i | −0.309812 | + | 0.178870i | ||||
\(591\) | 4.21691 | + | 15.9020i | 0.173461 | + | 0.654122i | ||||
\(592\) | 1.32889 | − | 2.30171i | 0.0546171 | − | 0.0945995i | ||||
\(593\) | 9.60114 | − | 16.6297i | 0.394272 | − | 0.682899i | −0.598736 | − | 0.800946i | \(-0.704330\pi\) |
0.993008 | + | 0.118048i | \(0.0376635\pi\) | |||||||
\(594\) | −0.271318 | − | 1.04492i | −0.0111323 | − | 0.0428734i | ||||
\(595\) | −1.99661 | − | 2.99629i | −0.0818532 | − | 0.122836i | ||||
\(596\) | −19.3671 | + | 11.1816i | −0.793307 | + | 0.458016i | ||||
\(597\) | −2.22611 | + | 2.21464i | −0.0911088 | + | 0.0906390i | ||||
\(598\) | 9.05049i | 0.370102i | ||||||||
\(599\) | 21.9105i | 0.895241i | 0.894224 | + | 0.447620i | \(0.147728\pi\) | ||||
−0.894224 | + | 0.447620i | \(0.852272\pi\) | |||||||
\(600\) | 1.67187 | + | 0.452611i | 0.0682537 | + | 0.0184778i | ||||
\(601\) | 38.2477 | − | 22.0823i | 1.56016 | − | 0.900756i | 0.562915 | − | 0.826515i | \(-0.309680\pi\) |
0.997240 | − | 0.0742412i | \(-0.0236535\pi\) | |||||||
\(602\) | 0.362263 | + | 5.63561i | 0.0147647 | + | 0.229690i | ||||
\(603\) | 0.122589 | − | 0.0699341i | 0.00499219 | − | 0.00284794i | ||||
\(604\) | 6.31191 | − | 10.9325i | 0.256828 | − | 0.444839i | ||||
\(605\) | −5.47842 | + | 9.48890i | −0.222729 | + | 0.385779i | ||||
\(606\) | −10.2118 | − | 2.76456i | −0.414827 | − | 0.112303i | ||||
\(607\) | −22.3770 | + | 12.9194i | −0.908256 | + | 0.524382i | −0.879870 | − | 0.475215i | \(-0.842370\pi\) |
−0.0283865 | + | 0.999597i | \(0.509037\pi\) | |||||||
\(608\) | 3.30914 | − | 5.73160i | 0.134203 | − | 0.232447i | ||||
\(609\) | −10.2875 | − | 30.6930i | −0.416872 | − | 1.24374i | ||||
\(610\) | 1.06869 | + | 1.85102i | 0.0432700 | + | 0.0749458i | ||||
\(611\) | 0.140563 | + | 0.0811544i | 0.00568659 | + | 0.00328315i | ||||
\(612\) | 3.52511 | + | 2.05959i | 0.142494 | + | 0.0832541i | ||||
\(613\) | 20.3696 | + | 35.2812i | 0.822720 | + | 1.42499i | 0.903650 | + | 0.428273i | \(0.140878\pi\) |
−0.0809298 | + | 0.996720i | \(0.525789\pi\) | |||||||
\(614\) | −0.302317 | −0.0122005 | ||||||||
\(615\) | 4.72940 | − | 1.25414i | 0.190708 | − | 0.0505720i | ||||
\(616\) | 0.304816 | + | 0.457433i | 0.0122814 | + | 0.0184305i | ||||
\(617\) | 18.7258 | + | 10.8114i | 0.753874 | + | 0.435249i | 0.827092 | − | 0.562067i | \(-0.189994\pi\) |
−0.0732181 | + | 0.997316i | \(0.523327\pi\) | |||||||
\(618\) | −8.08244 | − | 8.12433i | −0.325123 | − | 0.326808i | ||||
\(619\) | −35.9899 | − | 20.7788i | −1.44656 | − | 0.835170i | −0.448282 | − | 0.893892i | \(-0.647964\pi\) |
−0.998274 | + | 0.0587223i | \(0.981297\pi\) | |||||||
\(620\) | 4.10937 | − | 2.37255i | 0.165036 | − | 0.0952837i | ||||
\(621\) | −8.84878 | + | 32.0286i | −0.355089 | + | 1.28526i | ||||
\(622\) | − | 0.317161i | − | 0.0127170i | ||||||
\(623\) | 4.13663 | + | 6.20778i | 0.165730 | + | 0.248709i | ||||
\(624\) | 2.36617 | + | 0.640573i | 0.0947226 | + | 0.0256434i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −21.1311 | −0.844570 | ||||||||
\(627\) | 1.67970 | + | 1.68841i | 0.0670809 | + | 0.0674286i | ||||
\(628\) | − | 5.80220i | − | 0.231533i | ||||||
\(629\) | −3.61696 | −0.144218 | ||||||||
\(630\) | −4.36720 | − | 6.62779i | −0.173993 | − | 0.264057i | ||||
\(631\) | −24.7896 | −0.986860 | −0.493430 | − | 0.869785i | \(-0.664257\pi\) | ||||
−0.493430 | + | 0.869785i | \(0.664257\pi\) | |||||||
\(632\) | 15.9531i | 0.634582i | ||||||||
\(633\) | −10.2986 | + | 38.0411i | −0.409331 | + | 1.51200i | ||||
\(634\) | −10.1784 | −0.404234 | ||||||||
\(635\) | 7.47957 | + | 12.9550i | 0.296818 | + | 0.514103i | ||||
\(636\) | 11.9172 | − | 11.8558i | 0.472549 | − | 0.470113i | ||||
\(637\) | 1.26842 | + | 9.82545i | 0.0502567 | + | 0.389299i | ||||
\(638\) | 1.46763i | 0.0581040i | ||||||||
\(639\) | 5.13660 | + | 9.00403i | 0.203201 | + | 0.356194i | ||||
\(640\) | 0.866025 | − | 0.500000i | 0.0342327 | − | 0.0197642i | ||||
\(641\) | −30.6815 | − | 17.7140i | −1.21185 | − | 0.699660i | −0.248686 | − | 0.968584i | \(-0.579999\pi\) |
−0.963161 | + | 0.268924i | \(0.913332\pi\) | |||||||
\(642\) | −2.42980 | + | 8.97526i | −0.0958964 | + | 0.354225i | ||||
\(643\) | 25.1223 | + | 14.5043i | 0.990726 | + | 0.571996i | 0.905491 | − | 0.424365i | \(-0.139503\pi\) |
0.0852345 | + | 0.996361i | \(0.472836\pi\) | |||||||
\(644\) | −1.08534 | − | 16.8843i | −0.0427683 | − | 0.665333i | ||||
\(645\) | −0.966078 | + | 3.56853i | −0.0380393 | + | 0.140511i | ||||
\(646\) | −9.00678 | −0.354367 | ||||||||
\(647\) | −14.2851 | − | 24.7426i | −0.561607 | − | 0.972731i | −0.997357 | − | 0.0726633i | \(-0.976850\pi\) |
0.435750 | − | 0.900068i | \(-0.356483\pi\) | |||||||
\(648\) | 7.74729 | + | 4.58034i | 0.304342 | + | 0.179933i | ||||
\(649\) | −1.56348 | − | 0.902674i | −0.0613718 | − | 0.0354330i | ||||
\(650\) | −0.707642 | − | 1.22567i | −0.0277560 | − | 0.0480748i | ||||
\(651\) | −21.3105 | − | 4.32409i | −0.835223 | − | 0.169475i | ||||
\(652\) | −8.98690 | + | 15.5658i | −0.351954 | + | 0.609602i | ||||
\(653\) | 20.1958 | − | 11.6601i | 0.790324 | − | 0.456294i | −0.0497523 | − | 0.998762i | \(-0.515843\pi\) |
0.840077 | + | 0.542468i | \(0.182510\pi\) | |||||||
\(654\) | −22.4038 | + | 22.2882i | −0.876056 | + | 0.871539i | ||||
\(655\) | −8.39654 | + | 14.5432i | −0.328080 | + | 0.568251i | ||||
\(656\) | 1.41245 | − | 2.44643i | 0.0551468 | − | 0.0955170i | ||||
\(657\) | −20.2352 | + | 34.6336i | −0.789450 | + | 1.35119i | ||||
\(658\) | −0.271962 | − | 0.134542i | −0.0106022 | − | 0.00524500i | ||||
\(659\) | −41.6998 | + | 24.0754i | −1.62440 | + | 0.937845i | −0.638670 | + | 0.769481i | \(0.720515\pi\) |
−0.985725 | + | 0.168364i | \(0.946151\pi\) | |||||||
\(660\) | 0.0922387 | + | 0.347833i | 0.00359039 | + | 0.0135394i | ||||
\(661\) | 43.3165i | 1.68482i | 0.538840 | + | 0.842408i | \(0.318863\pi\) | ||||
−0.538840 | + | 0.842408i | \(0.681137\pi\) | |||||||
\(662\) | 22.1801i | 0.862056i | ||||||||
\(663\) | −0.855093 | − | 3.22457i | −0.0332091 | − | 0.125232i | ||||
\(664\) | −13.9606 | + | 8.06016i | −0.541776 | + | 0.312795i | ||||
\(665\) | 15.6948 | + | 7.76436i | 0.608618 | + | 0.301089i | ||||
\(666\) | −7.97324 | − | 0.0412189i | −0.308957 | − | 0.00159720i | ||||
\(667\) | 22.5864 | − | 39.1208i | 0.874550 | − | 1.51476i | ||||
\(668\) | −5.00537 | + | 8.66956i | −0.193664 | + | 0.335435i | ||||
\(669\) | −12.4819 | + | 12.4175i | −0.482577 | + | 0.480089i | ||||
\(670\) | −0.0407418 | + | 0.0235223i | −0.00157399 | + | 0.000908746i | ||||
\(671\) | −0.222034 | + | 0.384574i | −0.00857151 | + | 0.0148463i | ||||
\(672\) | −4.49105 | − | 0.911277i | −0.173246 | − | 0.0351533i | ||||
\(673\) | −10.7910 | − | 18.6906i | −0.415964 | − | 0.720471i | 0.579565 | − | 0.814926i | \(-0.303222\pi\) |
−0.995529 | + | 0.0944550i | \(0.969889\pi\) | |||||||
\(674\) | 24.1356 | + | 13.9347i | 0.929667 | + | 0.536743i | ||||
\(675\) | −1.30590 | − | 5.02938i | −0.0502642 | − | 0.193581i | ||||
\(676\) | 5.49849 | + | 9.52366i | 0.211480 | + | 0.366294i | ||||
\(677\) | 36.5408 | 1.40438 | 0.702188 | − | 0.711991i | \(-0.252207\pi\) | ||||
0.702188 | + | 0.711991i | \(0.252207\pi\) | |||||||
\(678\) | 1.90433 | − | 7.03428i | 0.0731354 | − | 0.270150i | ||||
\(679\) | −0.272894 | − | 4.24532i | −0.0104727 | − | 0.162921i | ||||
\(680\) | −1.17857 | − | 0.680447i | −0.0451960 | − | 0.0260940i | ||||
\(681\) | −7.78160 | + | 28.7439i | −0.298192 | + | 1.10147i | ||||
\(682\) | 0.853773 | + | 0.492926i | 0.0326927 | + | 0.0188751i | ||||
\(683\) | −36.6115 | + | 21.1377i | −1.40090 | + | 0.808811i | −0.994485 | − | 0.104878i | \(-0.966555\pi\) |
−0.406416 | + | 0.913688i | \(0.633222\pi\) | |||||||
\(684\) | −19.8546 | − | 0.102641i | −0.759159 | − | 0.00392459i | ||||
\(685\) | − | 3.39189i | − | 0.129597i | ||||||
\(686\) | −3.54459 | − | 18.1779i | −0.135333 | − | 0.694035i | ||||
\(687\) | 4.41169 | − | 4.38894i | 0.168316 | − | 0.167449i | ||||
\(688\) | 1.06723 | + | 1.84849i | 0.0406877 | + | 0.0704731i | ||||
\(689\) | −13.7358 | −0.523293 | ||||||||
\(690\) | 2.89436 | − | 10.6913i | 0.110187 | − | 0.407011i | ||||
\(691\) | − | 31.0692i | − | 1.18193i | −0.806698 | − | 0.590964i | \(-0.798748\pi\) | ||
0.806698 | − | 0.590964i | \(-0.201252\pi\) | |||||||
\(692\) | −7.20429 | −0.273866 | ||||||||
\(693\) | 0.738853 | − | 1.47428i | 0.0280667 | − | 0.0560034i | ||||
\(694\) | 8.89161 | 0.337521 | ||||||||
\(695\) | 5.86197i | 0.222357i | ||||||||
\(696\) | −8.62918 | − | 8.67390i | −0.327088 | − | 0.328783i | ||||
\(697\) | −3.84438 | −0.145616 | ||||||||
\(698\) | −13.2732 | − | 22.9898i | −0.502398 | − | 0.870178i | ||||
\(699\) | 35.5440 | + | 9.62253i | 1.34440 | + | 0.363957i | ||||
\(700\) | 1.46713 | + | 2.20171i | 0.0554524 | + | 0.0832167i | ||||
\(701\) | 27.7518i | 1.04817i | 0.851666 | + | 0.524085i | \(0.175593\pi\) | ||||
−0.851666 | + | 0.524085i | \(0.824407\pi\) | |||||||
\(702\) | −1.84822 | − | 7.11800i | −0.0697567 | − | 0.268651i | ||||
\(703\) | 15.2333 | − | 8.79497i | 0.574536 | − | 0.331709i | ||||
\(704\) | 0.179928 | + | 0.103881i | 0.00678128 | + | 0.00391517i | ||||
\(705\) | −0.140094 | − | 0.140820i | −0.00527623 | − | 0.00530358i | ||||
\(706\) | −25.8117 | − | 14.9024i | −0.971437 | − | 0.560859i | ||||
\(707\) | −8.96130 | − | 13.4481i | −0.337024 | − | 0.505768i | ||||
\(708\) | 14.5478 | − | 3.85779i | 0.546739 | − | 0.144985i | ||||
\(709\) | 14.2174 | 0.533944 | 0.266972 | − | 0.963704i | \(-0.413977\pi\) | ||||
0.266972 | + | 0.963704i | \(0.413977\pi\) | |||||||
\(710\) | −1.72769 | − | 2.99245i | −0.0648392 | − | 0.112305i | ||||
\(711\) | 41.5706 | − | 23.7151i | 1.55902 | − | 0.889387i | ||||
\(712\) | 2.44178 | + | 1.40976i | 0.0915097 | + | 0.0528331i | ||||
\(713\) | −15.1720 | − | 26.2787i | −0.568196 | − | 0.984144i | ||||
\(714\) | 1.98192 | + | 5.91309i | 0.0741716 | + | 0.221292i | ||||
\(715\) | 0.147022 | − | 0.254649i | 0.00549830 | − | 0.00952333i | ||||
\(716\) | 12.7104 | − | 7.33833i | 0.475008 | − | 0.274246i | ||||
\(717\) | 8.08626 | + | 2.18912i | 0.301987 | + | 0.0817543i | ||||
\(718\) | −8.47101 | + | 14.6722i | −0.316135 | + | 0.547562i | ||||
\(719\) | −21.6234 | + | 37.4528i | −0.806415 | + | 1.39675i | 0.108916 | + | 0.994051i | \(0.465262\pi\) |
−0.915332 | + | 0.402701i | \(0.868071\pi\) | |||||||
\(720\) | −2.59029 | − | 1.51341i | −0.0965343 | − | 0.0564015i | ||||
\(721\) | −1.12294 | − | 17.4693i | −0.0418207 | − | 0.650591i | ||||
\(722\) | 21.4789 | − | 12.4008i | 0.799361 | − | 0.461511i | ||||
\(723\) | −2.69158 | − | 0.728669i | −0.100101 | − | 0.0270995i | ||||
\(724\) | − | 20.6504i | − | 0.767465i | ||||||
\(725\) | 7.06398i | 0.262349i | ||||||||
\(726\) | 13.4540 | − | 13.3846i | 0.499324 | − | 0.496749i | ||||
\(727\) | 2.32159 | − | 1.34037i | 0.0861032 | − | 0.0497117i | −0.456330 | − | 0.889811i | \(-0.650836\pi\) |
0.542433 | + | 0.840099i | \(0.317503\pi\) | |||||||
\(728\) | 2.07641 | + | 3.11604i | 0.0769569 | + | 0.115488i | ||||
\(729\) | 0.418721 | − | 26.9968i | 0.0155082 | − | 0.999880i | ||||
\(730\) | 6.68529 | − | 11.5793i | 0.247434 | − | 0.428568i | ||||
\(731\) | 1.45238 | − | 2.51560i | 0.0537184 | − | 0.0930430i | ||||
\(732\) | −0.948914 | − | 3.57837i | −0.0350729 | − | 0.132260i | ||||
\(733\) | 18.7946 | − | 10.8511i | 0.694196 | − | 0.400794i | −0.110986 | − | 0.993822i | \(-0.535401\pi\) |
0.805182 | + | 0.593028i | \(0.202068\pi\) | |||||||
\(734\) | 10.5218 | − | 18.2244i | 0.388368 | − | 0.672674i | ||||
\(735\) | 1.64382 | − | 12.0124i | 0.0606332 | − | 0.443084i | ||||
\(736\) | −3.19741 | − | 5.53808i | −0.117858 | − | 0.204136i | ||||
\(737\) | −0.00846463 | − | 0.00488705i | −0.000311799 | − | 0.000180017i | ||||
\(738\) | −8.47457 | − | 0.0438106i | −0.311953 | − | 0.00161269i | ||||
\(739\) | −0.779082 | − | 1.34941i | −0.0286590 | − | 0.0496389i | 0.851340 | − | 0.524614i | \(-0.175790\pi\) |
−0.879999 | + | 0.474975i | \(0.842457\pi\) | |||||||
\(740\) | 2.65778 | 0.0977020 | ||||||||
\(741\) | 11.4422 | + | 11.5015i | 0.420339 | + | 0.422518i | ||||
\(742\) | 25.6250 | − | 1.64720i | 0.940724 | − | 0.0604707i | ||||
\(743\) | −5.56936 | − | 3.21547i | −0.204320 | − | 0.117964i | 0.394349 | − | 0.918961i | \(-0.370970\pi\) |
−0.598669 | + | 0.800997i | \(0.704303\pi\) | |||||||
\(744\) | −7.94416 | + | 2.10664i | −0.291247 | + | 0.0772331i | ||||
\(745\) | −19.3671 | − | 11.1816i | −0.709556 | − | 0.409662i | ||||
\(746\) | 9.72660 | − | 5.61566i | 0.356116 | − | 0.205604i | ||||
\(747\) | 41.7562 | + | 24.3967i | 1.52778 | + | 0.892627i | ||||
\(748\) | − | 0.282743i | − | 0.0103381i | ||||||
\(749\) | −11.8197 | + | 7.87616i | −0.431881 | + | 0.287789i | ||||
\(750\) | 0.443962 | + | 1.67419i | 0.0162112 | + | 0.0611326i | ||||
\(751\) | −27.3420 | − | 47.3577i | −0.997722 | − | 1.72811i | −0.557280 | − | 0.830324i | \(-0.688155\pi\) |
−0.440442 | − | 0.897781i | \(-0.645178\pi\) | |||||||
\(752\) | −0.114683 | −0.00418205 | ||||||||
\(753\) | 4.79341 | − | 1.27112i | 0.174682 | − | 0.0463222i | ||||
\(754\) | 9.99753i | 0.364089i | ||||||||
\(755\) | 12.6238 | 0.459427 | ||||||||
\(756\) | 4.30157 | + | 13.0574i | 0.156447 | + | 0.474894i | ||||
\(757\) | 6.88087 | 0.250089 | 0.125045 | − | 0.992151i | \(-0.460093\pi\) | ||||
0.125045 | + | 0.992151i | \(0.460093\pi\) | |||||||
\(758\) | − | 2.41836i | − | 0.0878387i | ||||||
\(759\) | 2.22433 | − | 0.589850i | 0.0807381 | − | 0.0214102i | ||||
\(760\) | 6.61828 | 0.240070 | ||||||||
\(761\) | −10.1827 | − | 17.6370i | −0.369123 | − | 0.639340i | 0.620306 | − | 0.784360i | \(-0.287009\pi\) |
−0.989429 | + | 0.145020i | \(0.953675\pi\) | |||||||
\(762\) | −6.64129 | − | 25.0444i | −0.240588 | − | 0.907262i | ||||
\(763\) | −48.1736 | + | 3.09665i | −1.74400 | + | 0.112106i | ||||
\(764\) | − | 21.9525i | − | 0.794214i | ||||||
\(765\) | −0.0211058 | + | 4.08263i | −0.000763081 | + | 0.147608i | ||||
\(766\) | −15.1569 | + | 8.75083i | −0.547640 | + | 0.316180i | ||||
\(767\) | −10.6504 | − | 6.14903i | −0.384565 | − | 0.222029i | ||||
\(768\) | −1.67419 | + | 0.443962i | −0.0604120 | + | 0.0160201i | ||||
\(769\) | −17.8787 | − | 10.3223i | −0.644721 | − | 0.372230i | 0.141710 | − | 0.989908i | \(-0.454740\pi\) |
−0.786431 | + | 0.617678i | \(0.788073\pi\) | |||||||
\(770\) | −0.243740 | + | 0.492694i | −0.00878380 | + | 0.0177555i | ||||
\(771\) | 38.4447 | + | 38.6440i | 1.38455 | + | 1.39173i | ||||
\(772\) | −20.6101 | −0.741772 | ||||||||
\(773\) | 13.4607 | + | 23.3145i | 0.484146 | + | 0.838566i | 0.999834 | − | 0.0182107i | \(-0.00579695\pi\) |
−0.515688 | + | 0.856776i | \(0.672464\pi\) | |||||||
\(774\) | 3.23031 | − | 5.52885i | 0.116111 | − | 0.198731i | ||||
\(775\) | 4.10937 | + | 2.37255i | 0.147613 | + | 0.0852244i | ||||
\(776\) | −0.803947 | − | 1.39248i | −0.0288600 | − | 0.0499870i | ||||
\(777\) | −9.12610 | − | 8.06561i | −0.327397 | − | 0.289352i | ||||
\(778\) | −3.35481 | + | 5.81070i | −0.120276 | + | 0.208324i | ||||
\(779\) | 16.1912 | − | 9.34797i | 0.580109 | − | 0.334926i | ||||
\(780\) | 0.628332 | + | 2.36945i | 0.0224979 | + | 0.0848399i | ||||
\(781\) | 0.358950 | − | 0.621720i | 0.0128442 | − | 0.0222469i | ||||
\(782\) | −4.35134 | + | 7.53673i | −0.155603 | + | 0.269513i | ||||
\(783\) | −9.77472 | + | 35.3801i | −0.349320 | + | 1.26438i | ||||
\(784\) | −4.24735 | − | 5.56417i | −0.151691 | − | 0.198720i | ||||
\(785\) | 5.02485 | − | 2.90110i | 0.179345 | − | 0.103545i | ||||
\(786\) | 20.6203 | − | 20.5140i | 0.735503 | − | 0.731711i | ||||
\(787\) | − | 27.2324i | − | 0.970730i | −0.874311 | − | 0.485365i | \(-0.838687\pi\) | ||
0.874311 | − | 0.485365i | \(-0.161313\pi\) | |||||||
\(788\) | 9.49837i | 0.338365i | ||||||||
\(789\) | 5.50549 | + | 1.49045i | 0.196001 | + | 0.0530616i | ||||
\(790\) | −13.8158 | + | 7.97657i | −0.491545 | + | 0.283794i | ||||
\(791\) | 9.26355 | − | 6.17287i | 0.329374 | − | 0.219482i | ||||
\(792\) | 0.00322214 | − | 0.623280i | 0.000114494 | − | 0.0221473i | ||||
\(793\) | −1.51250 | + | 2.61972i | −0.0537104 | + | 0.0930291i | ||||
\(794\) | 3.48131 | − | 6.02981i | 0.123547 | − | 0.213990i | ||||
\(795\) | 16.2260 | + | 4.39274i | 0.575478 | + | 0.155794i | ||||
\(796\) | −1.57005 | + | 0.906467i | −0.0556489 | + | 0.0321289i | ||||
\(797\) | 12.9468 | − | 22.4246i | 0.458601 | − | 0.794319i | −0.540287 | − | 0.841481i | \(-0.681684\pi\) |
0.998887 | + | 0.0471616i | \(0.0150176\pi\) | |||||||
\(798\) | −22.7254 | − | 20.0846i | −0.804470 | − | 0.710988i | ||||
\(799\) | 0.0780356 | + | 0.135162i | 0.00276070 | + | 0.00478167i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | 0.0437274 | − | 8.45847i | 0.00154503 | − | 0.298865i | ||||
\(802\) | 5.78798 | + | 10.0251i | 0.204381 | + | 0.353998i | ||||
\(803\) | 2.77791 | 0.0980302 | ||||||||
\(804\) | 0.0787614 | − | 0.0208860i | 0.00277770 | − | 0.000736592i | ||||
\(805\) | 14.0795 | − | 9.38206i | 0.496238 | − | 0.330674i | ||||
\(806\) | 5.81593 | + | 3.35783i | 0.204857 | + | 0.118274i | ||||
\(807\) | 23.0745 | + | 23.1941i | 0.812260 | + | 0.816470i | ||||
\(808\) | −5.28971 | − | 3.05401i | −0.186091 | − | 0.107440i | ||||
\(809\) | 20.9833 | − | 12.1147i | 0.737734 | − | 0.425931i | −0.0835110 | − | 0.996507i | \(-0.526613\pi\) |
0.821245 | + | 0.570576i | \(0.193280\pi\) | |||||||
\(810\) | −0.0930513 | + | 8.99952i | −0.00326949 | + | 0.316211i | ||||
\(811\) | − | 26.9699i | − | 0.947040i | −0.880783 | − | 0.473520i | \(-0.842983\pi\) | ||
0.880783 | − | 0.473520i | \(-0.157017\pi\) | |||||||
\(812\) | −1.19891 | − | 18.6510i | −0.0420734 | − | 0.654523i | ||||
\(813\) | −5.38538 | − | 1.45794i | −0.188873 | − | 0.0511321i | ||||
\(814\) | 0.276094 | + | 0.478209i | 0.00967708 | + | 0.0167612i | ||||
\(815\) | −17.9738 | −0.629595 | ||||||||
\(816\) | 1.66243 | + | 1.67105i | 0.0581968 | + | 0.0584985i | ||||
\(817\) | 14.1264i | 0.494221i | ||||||||
\(818\) | 36.3280 | 1.27018 | ||||||||
\(819\) | 5.03308 | − | 10.0429i | 0.175870 | − | 0.350926i | ||||
\(820\) | 2.82489 | 0.0986496 | ||||||||
\(821\) | 1.99919i | 0.0697722i | 0.999391 | + | 0.0348861i | \(0.0111068\pi\) | ||||
−0.999391 | + | 0.0348861i | \(0.988893\pi\) | |||||||
\(822\) | −1.53521 | + | 5.67079i | −0.0535464 | + | 0.197792i | ||||
\(823\) | −6.28847 | −0.219202 | −0.109601 | − | 0.993976i | \(-0.534957\pi\) | ||||
−0.109601 | + | 0.993976i | \(0.534957\pi\) | |||||||
\(824\) | −3.30820 | − | 5.72998i | −0.115247 | − | 0.199613i | ||||
\(825\) | −0.255113 | + | 0.253798i | −0.00888190 | + | 0.00883610i | ||||
\(826\) | 20.6065 | + | 10.1942i | 0.716990 | + | 0.354702i | ||||
\(827\) | 43.5204i | 1.51335i | 0.653789 | + | 0.756677i | \(0.273178\pi\) | ||||
−0.653789 | + | 0.756677i | \(0.726822\pi\) | |||||||
\(828\) | −9.67799 | + | 16.5644i | −0.336333 | + | 0.575653i | ||||
\(829\) | −28.3927 | + | 16.3926i | −0.986120 | + | 0.569337i | −0.904112 | − | 0.427295i | \(-0.859467\pi\) |
−0.0820080 | + | 0.996632i | \(0.526133\pi\) | |||||||
\(830\) | −13.9606 | − | 8.06016i | −0.484579 | − | 0.279772i | ||||
\(831\) | 0.0538396 | − | 0.198874i | 0.00186767 | − | 0.00689888i | ||||
\(832\) | 1.22567 | + | 0.707642i | 0.0424925 | + | 0.0245331i | ||||
\(833\) | −3.66766 | + | 8.79192i | −0.127077 | + | 0.304622i | ||||
\(834\) | 2.65319 | − | 9.80044i | 0.0918725 | − | 0.339362i | ||||
\(835\) | −10.0107 | −0.346436 | ||||||||
\(836\) | 0.687516 | + | 1.19081i | 0.0237782 | + | 0.0411851i | ||||
\(837\) | 17.2989 | + | 17.5692i | 0.597936 | + | 0.607282i | ||||
\(838\) | 27.7808 | + | 16.0393i | 0.959673 | + | 0.554067i | ||||
\(839\) | 4.60486 | + | 7.97586i | 0.158978 | + | 0.275357i | 0.934500 | − | 0.355962i | \(-0.115847\pi\) |
−0.775523 | + | 0.631320i | \(0.782514\pi\) | |||||||
\(840\) | −1.45634 | − | 4.34501i | −0.0502484 | − | 0.149917i | ||||
\(841\) | 10.4499 | − | 18.0997i | 0.360341 | − | 0.624128i | ||||
\(842\) | −10.2565 | + | 5.92162i | −0.353464 | + | 0.204072i | ||||
\(843\) | 16.0912 | − | 16.0083i | 0.554212 | − | 0.551354i | ||||
\(844\) | −11.3768 | + | 19.7053i | −0.391607 | + | 0.678283i | ||||
\(845\) | −5.49849 | + | 9.52366i | −0.189154 | + | 0.327624i | ||||
\(846\) | 0.170482 | + | 0.298840i | 0.00586128 | + | 0.0102743i | ||||
\(847\) | 28.9294 | − | 1.85961i | 0.994024 | − | 0.0638969i | ||||
\(848\) | 8.40507 | − | 4.85267i | 0.288631 | − | 0.166641i | ||||
\(849\) | −11.1225 | − | 41.9430i | −0.381722 | − | 1.43948i | ||||
\(850\) | − | 1.36089i | − | 0.0466783i | ||||||
\(851\) | − | 16.9960i | − | 0.582616i | ||||||
\(852\) | 1.53406 | + | 5.78496i | 0.0525560 | + | 0.198189i | ||||
\(853\) | 34.0668 | − | 19.6685i | 1.16642 | − | 0.673435i | 0.213589 | − | 0.976924i | \(-0.431485\pi\) |
0.952835 | + | 0.303489i | \(0.0981514\pi\) | |||||||
\(854\) | 2.50750 | − | 5.06864i | 0.0858050 | − | 0.173445i | ||||
\(855\) | −9.83840 | − | 17.2459i | −0.336466 | − | 0.589797i | ||||
\(856\) | −2.68420 | + | 4.64917i | −0.0917441 | + | 0.158905i | ||||
\(857\) | 16.2056 | − | 28.0689i | 0.553573 | − | 0.958816i | −0.444440 | − | 0.895809i | \(-0.646597\pi\) |
0.998013 | − | 0.0630079i | \(-0.0200693\pi\) | |||||||
\(858\) | −0.361058 | + | 0.359196i | −0.0123263 | + | 0.0122627i | ||||
\(859\) | −22.8803 | + | 13.2099i | −0.780665 | + | 0.450717i | −0.836666 | − | 0.547713i | \(-0.815498\pi\) |
0.0560006 | + | 0.998431i | \(0.482165\pi\) | |||||||
\(860\) | −1.06723 | + | 1.84849i | −0.0363922 | + | 0.0630331i | ||||
\(861\) | −9.69992 | − | 8.57275i | −0.330572 | − | 0.292159i | ||||
\(862\) | 16.3082 | + | 28.2466i | 0.555459 | + | 0.962084i | ||||
\(863\) | −24.4007 | − | 14.0878i | −0.830610 | − | 0.479553i | 0.0234518 | − | 0.999725i | \(-0.492534\pi\) |
−0.854061 | + | 0.520172i | \(0.825868\pi\) | |||||||
\(864\) | 3.64563 | + | 3.70262i | 0.124027 | + | 0.125966i | ||||
\(865\) | −3.60215 | − | 6.23910i | −0.122477 | − | 0.212136i | ||||
\(866\) | 1.82172 | 0.0619045 | ||||||||
\(867\) | −6.85613 | + | 25.3254i | −0.232846 | + | 0.860096i | ||||
\(868\) | −11.2526 | − | 5.56679i | −0.381940 | − | 0.188949i | ||||
\(869\) | −2.87041 | − | 1.65723i | −0.0973721 | − | 0.0562178i | ||||
\(870\) | 3.19723 | − | 11.8100i | 0.108396 | − | 0.400398i | ||||
\(871\) | −0.0576612 | − | 0.0332907i | −0.00195378 | − | 0.00112801i | ||||
\(872\) | −15.8011 | + | 9.12274i | −0.535091 | + | 0.308935i | ||||
\(873\) | −2.43340 | + | 4.16491i | −0.0823582 | + | 0.140961i | ||||
\(874\) | − | 42.3227i | − | 1.43159i | ||||||
\(875\) | −1.17317 | + | 2.37143i | −0.0396603 | + | 0.0801689i | ||||
\(876\) | −16.4178 | + | 16.3332i | −0.554707 | + | 0.551847i | ||||
\(877\) | −18.1740 | − | 31.4782i | −0.613691 | − | 1.06294i | −0.990613 | − | 0.136699i | \(-0.956351\pi\) |
0.376921 | − | 0.926245i | \(-0.376983\pi\) | |||||||
\(878\) | 23.8749 | 0.805739 | ||||||||
\(879\) | −0.658744 | + | 2.43329i | −0.0222189 | + | 0.0820729i | ||||
\(880\) | 0.207763i | 0.00700368i | ||||||||
\(881\) | −0.589367 | −0.0198563 | −0.00992814 | − | 0.999951i | \(-0.503160\pi\) | ||||
−0.00992814 | + | 0.999951i | \(0.503160\pi\) | |||||||
\(882\) | −8.18519 | + | 19.3391i | −0.275610 | + | 0.651183i | ||||
\(883\) | 55.1932 | 1.85740 | 0.928700 | − | 0.370833i | \(-0.120928\pi\) | ||||
0.928700 | + | 0.370833i | \(0.120928\pi\) | |||||||
\(884\) | − | 1.92605i | − | 0.0647801i | ||||||
\(885\) | 10.6148 | + | 10.6699i | 0.356814 | + | 0.358663i | ||||
\(886\) | 23.6199 | 0.793527 | ||||||||
\(887\) | 25.4014 | + | 43.9965i | 0.852896 | + | 1.47726i | 0.878584 | + | 0.477588i | \(0.158489\pi\) |
−0.0256882 | + | 0.999670i | \(0.508178\pi\) | |||||||
\(888\) | −4.44346 | − | 1.20294i | −0.149113 | − | 0.0403680i | ||||
\(889\) | 17.5496 | − | 35.4745i | 0.588594 | − | 1.18978i | ||||
\(890\) | 2.81953i | 0.0945108i | ||||||||
\(891\) | −1.62893 | + | 0.918139i | −0.0545712 | + | 0.0307588i | ||||
\(892\) | −8.80329 | + | 5.08258i | −0.294756 | + | 0.170177i | ||||
\(893\) | −0.657316 | − | 0.379502i | −0.0219962 | − | 0.0126995i | ||||
\(894\) | 27.3183 | + | 27.4599i | 0.913662 | + | 0.918397i | ||||
\(895\) | 12.7104 | + | 7.33833i | 0.424860 | + | 0.245293i | ||||
\(896\) | −2.37143 | − | 1.17317i | −0.0792239 | − | 0.0391928i | ||||
\(897\) | 15.1522 | − | 4.01807i | 0.505917 | − | 0.134159i | ||||
\(898\) | −33.6640 | −1.12338 | ||||||||
\(899\) | −16.7596 | − | 29.0285i | −0.558964 | − | 0.968154i | ||||
\(900\) | 0.0155088 | − | 2.99996i | 0.000516958 | − | 0.0999987i | ||||
\(901\) | −11.4384 | − | 6.60397i | −0.381068 | − | 0.220010i | ||||
\(902\) | 0.293454 | + | 0.508277i | 0.00977094 | + | 0.0169238i | ||||
\(903\) | 9.27423 | − | 3.10849i | 0.308627 | − | 0.103444i | ||||
\(904\) | 2.10372 | − | 3.64375i | 0.0699687 | − | 0.121189i | ||||
\(905\) | 17.8838 | − | 10.3252i | 0.594476 | − | 0.343221i | ||||
\(906\) | −21.1053 | − | 5.71367i | −0.701178 | − | 0.189824i | ||||
\(907\) | 9.74779 | − | 16.8837i | 0.323670 | − | 0.560613i | −0.657572 | − | 0.753392i | \(-0.728417\pi\) |
0.981242 | + | 0.192778i | \(0.0617499\pi\) | |||||||
\(908\) | −8.59635 | + | 14.8893i | −0.285280 | + | 0.494119i | ||||
\(909\) | −0.0947279 | + | 18.3238i | −0.00314193 | + | 0.607764i | ||||
\(910\) | −1.66037 | + | 3.35625i | −0.0550406 | + | 0.111258i | ||||
\(911\) | 29.5749 | − | 17.0751i | 0.979860 | − | 0.565723i | 0.0776324 | − | 0.996982i | \(-0.475264\pi\) |
0.902228 | + | 0.431259i | \(0.141931\pi\) | |||||||
\(912\) | −11.0649 | − | 2.99551i | −0.366395 | − | 0.0991911i | ||||
\(913\) | − | 3.34920i | − | 0.110842i | ||||||
\(914\) | − | 18.1990i | − | 0.601971i | ||||||
\(915\) | 2.62450 | − | 2.61097i | 0.0867633 | − | 0.0863159i | ||||
\(916\) | 3.11150 | − | 1.79643i | 0.102807 | − | 0.0593556i | ||||
\(917\) | 44.3388 | − | 2.85014i | 1.46420 | − | 0.0941200i | ||||
\(918\) | 1.88313 | − | 6.81606i | 0.0621524 | − | 0.224964i | ||||
\(919\) | −8.23460 | + | 14.2627i | −0.271634 | + | 0.470484i | −0.969280 | − | 0.245958i | \(-0.920897\pi\) |
0.697646 | + | 0.716442i | \(0.254231\pi\) | |||||||
\(920\) | 3.19741 | − | 5.53808i | 0.105415 | − | 0.182585i | ||||
\(921\) | 0.134217 | + | 0.506134i | 0.00442260 | + | 0.0166777i | ||||
\(922\) | 12.6989 | − | 7.33169i | 0.418215 | − | 0.241456i | ||||
\(923\) | 2.44518 | − | 4.23517i | 0.0804840 | − | 0.139402i | ||||
\(924\) | 0.630501 | − | 0.713401i | 0.0207420 | − | 0.0234692i | ||||
\(925\) | 1.32889 | + | 2.30171i | 0.0436937 | + | 0.0756796i | ||||
\(926\) | 5.55635 | + | 3.20796i | 0.182593 | + | 0.105420i | ||||
\(927\) | −10.0133 | + | 17.1384i | −0.328881 | + | 0.562899i | ||||
\(928\) | −3.53199 | − | 6.11758i | −0.115943 | − | 0.200820i | ||||
\(929\) | −11.7221 | −0.384589 | −0.192294 | − | 0.981337i | \(-0.561593\pi\) | ||||
−0.192294 | + | 0.981337i | \(0.561593\pi\) | |||||||
\(930\) | −5.79648 | − | 5.82653i | −0.190074 | − | 0.191059i | ||||
\(931\) | −5.93151 | − | 45.9467i | −0.194397 | − | 1.50584i | ||||
\(932\) | 18.4117 | + | 10.6300i | 0.603097 | + | 0.348198i | ||||
\(933\) | −0.530987 | + | 0.140807i | −0.0173837 | + | 0.00460983i | ||||
\(934\) | −22.6399 | − | 13.0712i | −0.740801 | − | 0.427702i | ||||
\(935\) | 0.244863 | − | 0.141371i | 0.00800786 | − | 0.00462334i | ||||
\(936\) | 0.0219493 | − | 4.24580i | 0.000717435 | − | 0.138778i | ||||
\(937\) | 10.5888i | 0.345922i | 0.984929 | + | 0.172961i | \(0.0553334\pi\) | ||||
−0.984929 | + | 0.172961i | \(0.944667\pi\) | |||||||
\(938\) | 0.111563 | + | 0.0551912i | 0.00364266 | + | 0.00180206i | ||||
\(939\) | 9.38142 | + | 35.3775i | 0.306151 | + | 1.15450i | ||||
\(940\) | −0.0573414 | − | 0.0993182i | −0.00187027 | − | 0.00323940i | ||||
\(941\) | 11.6282 | 0.379070 | 0.189535 | − | 0.981874i | \(-0.439302\pi\) | ||||
0.189535 | + | 0.981874i | \(0.439302\pi\) | |||||||
\(942\) | −9.71395 | + | 2.57595i | −0.316498 | + | 0.0839291i | ||||
\(943\) | − | 18.0647i | − | 0.588267i | ||||||
\(944\) | 8.68947 | 0.282818 | ||||||||
\(945\) | −9.15728 | + | 10.2540i | −0.297886 | + | 0.333562i | ||||
\(946\) | −0.443460 | −0.0144181 | ||||||||
\(947\) | 2.07406i | 0.0673978i | 0.999432 | + | 0.0336989i | \(0.0107287\pi\) | ||||
−0.999432 | + | 0.0336989i | \(0.989271\pi\) | |||||||
\(948\) | 26.7085 | − | 7.08258i | 0.867452 | − | 0.230032i | ||||
\(949\) | 18.9232 | 0.614272 | ||||||||
\(950\) | 3.30914 | + | 5.73160i | 0.107363 | + | 0.185958i | ||||
\(951\) | 4.51880 | + | 17.0405i | 0.146532 | + | 0.552575i | ||||
\(952\) | 0.230973 | + | 3.59317i | 0.00748587 | + | 0.116455i | ||||
\(953\) | 28.8160i | 0.933442i | 0.884405 | + | 0.466721i | \(0.154565\pi\) | ||||
−0.884405 | + | 0.466721i | \(0.845435\pi\) | |||||||
\(954\) | −25.1396 | − | 14.6882i | −0.813925 | − | 0.475547i | ||||
\(955\) | 19.0114 | − | 10.9763i | 0.615195 | − | 0.355183i | ||||
\(956\) | 4.18867 | + | 2.41833i | 0.135471 | + | 0.0782144i | ||||
\(957\) | 2.45709 | − | 0.651572i | 0.0794263 | − | 0.0210623i | ||||
\(958\) | −29.2068 | − | 16.8626i | −0.943629 | − | 0.544805i | ||||
\(959\) | −7.46795 | + | 4.97636i | −0.241153 | + | 0.160695i | ||||
\(960\) | −1.22158 | − | 1.22791i | −0.0394262 | − | 0.0396305i | ||||
\(961\) | 8.48411 | 0.273681 | ||||||||
\(962\) | 1.88076 | + | 3.25757i | 0.0606381 | + | 0.105028i | ||||
\(963\) | 16.1050 | + | 0.0832572i | 0.518976 | + | 0.00268293i | ||||
\(964\) | −1.39424 | − | 0.804962i | −0.0449053 | − | 0.0259261i | ||||
\(965\) | −10.3050 | − | 17.8488i | −0.331731 | − | 0.574574i | ||||
\(966\) | −27.7855 | + | 9.31302i | −0.893985 | + | 0.299641i | ||||
\(967\) | −9.12278 | + | 15.8011i | −0.293369 | + | 0.508130i | −0.974604 | − | 0.223935i | \(-0.928110\pi\) |
0.681235 | + | 0.732065i | \(0.261443\pi\) | |||||||
\(968\) | 9.48890 | − | 5.47842i | 0.304985 | − | 0.176083i | ||||
\(969\) | 3.99867 | + | 15.0790i | 0.128456 | + | 0.484408i | ||||
\(970\) | 0.803947 | − | 1.39248i | 0.0258132 | − | 0.0447097i | ||||
\(971\) | 1.09564 | − | 1.89770i | 0.0351606 | − | 0.0609000i | −0.847910 | − | 0.530141i | \(-0.822139\pi\) |
0.883070 | + | 0.469241i | \(0.155472\pi\) | |||||||
\(972\) | 4.22885 | − | 15.0039i | 0.135640 | − | 0.481250i | ||||
\(973\) | 12.9063 | − | 8.60030i | 0.413759 | − | 0.275713i | ||||
\(974\) | 5.86349 | − | 3.38529i | 0.187878 | − | 0.108472i | ||||
\(975\) | −1.73784 | + | 1.72888i | −0.0556553 | + | 0.0553683i | ||||
\(976\) | − | 2.13738i | − | 0.0684158i | ||||||
\(977\) | − | 0.250099i | − | 0.00800137i | −0.999992 | − | 0.00400068i | \(-0.998727\pi\) | ||
0.999992 | − | 0.00400068i | \(-0.00127346\pi\) | |||||||
\(978\) | 30.0498 | + | 8.13513i | 0.960887 | + | 0.260133i | ||||
\(979\) | −0.507311 | + | 0.292896i | −0.0162137 | + | 0.00936101i | ||||
\(980\) | 2.69504 | − | 6.46040i | 0.0860898 | − | 0.206370i | ||||
\(981\) | 47.2611 | + | 27.6129i | 1.50893 | + | 0.881613i | ||||
\(982\) | −4.54300 | + | 7.86871i | −0.144973 | + | 0.251101i | ||||
\(983\) | −1.60860 | + | 2.78618i | −0.0513064 | + | 0.0888654i | −0.890538 | − | 0.454909i | \(-0.849672\pi\) |
0.839232 | + | 0.543774i | \(0.183005\pi\) | |||||||
\(984\) | −4.72285 | − | 1.27858i | −0.150559 | − | 0.0407595i | ||||
\(985\) | −8.22583 | + | 4.74918i | −0.262097 | + | 0.151322i | ||||
\(986\) | −4.80666 | + | 8.32538i | −0.153075 | + | 0.265134i | ||||
\(987\) | −0.104508 | + | 0.515047i | −0.00332652 | + | 0.0163941i | ||||
\(988\) | 4.68338 | + | 8.11184i | 0.148998 | + | 0.258072i | ||||
\(989\) | 11.8208 | + | 6.82473i | 0.375879 | + | 0.217014i | ||||
\(990\) | 0.541387 | − | 0.308849i | 0.0172064 | − | 0.00981588i | ||||
\(991\) | −0.704168 | − | 1.21966i | −0.0223686 | − | 0.0387436i | 0.854624 | − | 0.519247i | \(-0.173787\pi\) |
−0.876993 | + | 0.480503i | \(0.840454\pi\) | |||||||
\(992\) | −4.74509 | −0.150657 | ||||||||
\(993\) | 37.1337 | − | 9.84714i | 1.17840 | − | 0.312489i | ||||
\(994\) | −4.05375 | + | 8.19421i | −0.128577 | + | 0.259904i | ||||
\(995\) | −1.57005 | − | 0.906467i | −0.0497739 | − | 0.0287369i | ||||
\(996\) | 19.6922 | + | 19.7942i | 0.623970 | + | 0.627204i | ||||
\(997\) | −31.0456 | − | 17.9242i | −0.983224 | − | 0.567664i | −0.0799817 | − | 0.996796i | \(-0.525486\pi\) |
−0.903242 | + | 0.429132i | \(0.858820\pi\) | |||||||
\(998\) | 36.4240 | − | 21.0294i | 1.15298 | − | 0.665675i | ||||
\(999\) | 3.47080 | + | 13.3670i | 0.109811 | + | 0.422913i |
(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 | 630.2.bk.b.131.2 | yes | 28 | |
3.2 | odd | 2 | 1890.2.bk.b.341.7 | 28 | |||
7.3 | odd | 6 | 630.2.t.b.311.10 | ✓ | 28 | ||
9.2 | odd | 6 | 630.2.t.b.551.10 | yes | 28 | ||
9.7 | even | 3 | 1890.2.t.b.1601.6 | 28 | |||
21.17 | even | 6 | 1890.2.t.b.1151.6 | 28 | |||
63.38 | even | 6 | inner | 630.2.bk.b.101.9 | yes | 28 | |
63.52 | odd | 6 | 1890.2.bk.b.521.7 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.t.b.311.10 | ✓ | 28 | 7.3 | odd | 6 | ||
630.2.t.b.551.10 | yes | 28 | 9.2 | odd | 6 | ||
630.2.bk.b.101.9 | yes | 28 | 63.38 | even | 6 | inner | |
630.2.bk.b.131.2 | yes | 28 | 1.1 | even | 1 | trivial | |
1890.2.t.b.1151.6 | 28 | 21.17 | even | 6 | |||
1890.2.t.b.1601.6 | 28 | 9.7 | even | 3 | |||
1890.2.bk.b.341.7 | 28 | 3.2 | odd | 2 | |||
1890.2.bk.b.521.7 | 28 | 63.52 | odd | 6 |