Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(311,630)]
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([5, 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("630.311");
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.t (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: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 551.13 | ||
Character | \(\chi\) | \(=\) | 630.551 |
Dual form | 630.2.t.c.311.13 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.0292487 | − | 1.73180i | 0.0168868 | − | 0.999857i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −0.840572 | − | 1.51441i | −0.343162 | − | 0.618255i | ||||
\(7\) | 2.63859 | − | 0.194573i | 0.997292 | − | 0.0735418i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.99829 | − | 0.101306i | −0.999430 | − | 0.0337687i | ||||
\(10\) | 0.866025 | − | 0.500000i | 0.273861 | − | 0.158114i | ||||
\(11\) | − | 2.09116i | − | 0.630509i | −0.949007 | − | 0.315255i | \(-0.897910\pi\) | ||
0.949007 | − | 0.315255i | \(-0.102090\pi\) | |||||||
\(12\) | −1.48516 | − | 0.891232i | −0.428729 | − | 0.257277i | ||||
\(13\) | −0.413776 | + | 0.238893i | −0.114761 | + | 0.0662571i | −0.556282 | − | 0.830994i | \(-0.687772\pi\) |
0.441521 | + | 0.897251i | \(0.354439\pi\) | |||||||
\(14\) | 2.18780 | − | 1.48780i | 0.584713 | − | 0.397631i | ||||
\(15\) | 0.0292487 | − | 1.73180i | 0.00755199 | − | 0.447150i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.44100 | − | 2.49589i | −0.349495 | − | 0.605343i | 0.636665 | − | 0.771141i | \(-0.280313\pi\) |
−0.986160 | + | 0.165798i | \(0.946980\pi\) | |||||||
\(18\) | −2.64725 | + | 1.41141i | −0.623962 | + | 0.332673i | ||||
\(19\) | 4.03431 | + | 2.32921i | 0.925535 | + | 0.534358i | 0.885397 | − | 0.464837i | \(-0.153887\pi\) |
0.0401380 | + | 0.999194i | \(0.487220\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | −0.259788 | − | 4.57521i | −0.0566903 | − | 0.998392i | ||||
\(22\) | −1.04558 | − | 1.81100i | −0.222919 | − | 0.386107i | ||||
\(23\) | 2.02764i | 0.422792i | 0.977401 | + | 0.211396i | \(0.0678009\pi\) | ||||
−0.977401 | + | 0.211396i | \(0.932199\pi\) | |||||||
\(24\) | −1.73180 | − | 0.0292487i | −0.353503 | − | 0.00597037i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −0.238893 | + | 0.413776i | −0.0468509 | + | 0.0811481i | ||||
\(27\) | −0.263138 | + | 5.18949i | −0.0506410 | + | 0.998717i | ||||
\(28\) | 1.15079 | − | 2.38237i | 0.217478 | − | 0.450226i | ||||
\(29\) | 2.74938 | + | 1.58735i | 0.510547 | + | 0.294764i | 0.733058 | − | 0.680166i | \(-0.238092\pi\) |
−0.222512 | + | 0.974930i | \(0.571426\pi\) | |||||||
\(30\) | −0.840572 | − | 1.51441i | −0.153467 | − | 0.276492i | ||||
\(31\) | −4.59333 | − | 2.65196i | −0.824987 | − | 0.476306i | 0.0271462 | − | 0.999631i | \(-0.491358\pi\) |
−0.852133 | + | 0.523325i | \(0.824691\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −3.62148 | − | 0.0611638i | −0.630419 | − | 0.0106473i | ||||
\(34\) | −2.49589 | − | 1.44100i | −0.428042 | − | 0.247130i | ||||
\(35\) | 2.63859 | − | 0.194573i | 0.446003 | − | 0.0328889i | ||||
\(36\) | −1.58688 | + | 2.54594i | −0.264480 | + | 0.424324i | ||||
\(37\) | −1.93169 | + | 3.34578i | −0.317568 | + | 0.550043i | −0.979980 | − | 0.199096i | \(-0.936199\pi\) |
0.662412 | + | 0.749140i | \(0.269533\pi\) | |||||||
\(38\) | 4.65842 | 0.755696 | ||||||||
\(39\) | 0.401614 | + | 0.723566i | 0.0643098 | + | 0.115863i | ||||
\(40\) | − | 1.00000i | − | 0.158114i | ||||||
\(41\) | −4.03898 | − | 6.99572i | −0.630783 | − | 1.09255i | −0.987392 | − | 0.158294i | \(-0.949401\pi\) |
0.356609 | − | 0.934254i | \(-0.383933\pi\) | |||||||
\(42\) | −2.51259 | − | 3.83235i | −0.387700 | − | 0.591345i | ||||
\(43\) | −2.96902 | + | 5.14250i | −0.452772 | + | 0.784224i | −0.998557 | − | 0.0537015i | \(-0.982898\pi\) |
0.545785 | + | 0.837925i | \(0.316231\pi\) | |||||||
\(44\) | −1.81100 | − | 1.04558i | −0.273019 | − | 0.157627i | ||||
\(45\) | −2.99829 | − | 0.101306i | −0.446959 | − | 0.0151018i | ||||
\(46\) | 1.01382 | + | 1.75599i | 0.149479 | + | 0.258906i | ||||
\(47\) | 0.0525367 | + | 0.0909962i | 0.00766326 | + | 0.0132732i | 0.869832 | − | 0.493349i | \(-0.164227\pi\) |
−0.862168 | + | 0.506622i | \(0.830894\pi\) | |||||||
\(48\) | −1.51441 | + | 0.840572i | −0.218586 | + | 0.121326i | ||||
\(49\) | 6.92428 | − | 1.02680i | 0.989183 | − | 0.146685i | ||||
\(50\) | 0.866025 | − | 0.500000i | 0.122474 | − | 0.0707107i | ||||
\(51\) | −4.36455 | + | 2.42254i | −0.611159 | + | 0.339223i | ||||
\(52\) | 0.477787i | 0.0662571i | ||||||||
\(53\) | −4.27164 | + | 2.46623i | −0.586755 | + | 0.338763i | −0.763813 | − | 0.645437i | \(-0.776675\pi\) |
0.177058 | + | 0.984200i | \(0.443342\pi\) | |||||||
\(54\) | 2.36686 | + | 4.62580i | 0.322089 | + | 0.629491i | ||||
\(55\) | − | 2.09116i | − | 0.281972i | ||||||
\(56\) | −0.194573 | − | 2.63859i | −0.0260010 | − | 0.352596i | ||||
\(57\) | 4.15173 | − | 6.91851i | 0.549911 | − | 0.916379i | ||||
\(58\) | 3.17471 | 0.416860 | ||||||||
\(59\) | 1.40971 | − | 2.44169i | 0.183529 | − | 0.317881i | −0.759551 | − | 0.650448i | \(-0.774581\pi\) |
0.943080 | + | 0.332567i | \(0.107915\pi\) | |||||||
\(60\) | −1.48516 | − | 0.891232i | −0.191734 | − | 0.115058i | ||||
\(61\) | 3.71793 | − | 2.14655i | 0.476033 | − | 0.274838i | −0.242729 | − | 0.970094i | \(-0.578043\pi\) |
0.718762 | + | 0.695256i | \(0.244709\pi\) | |||||||
\(62\) | −5.30392 | −0.673599 | ||||||||
\(63\) | −7.93096 | + | 0.316082i | −0.999207 | + | 0.0398226i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.413776 | + | 0.238893i | −0.0513226 | + | 0.0296311i | ||||
\(66\) | −3.16688 | + | 1.75777i | −0.389816 | + | 0.216367i | ||||
\(67\) | −2.73588 | + | 4.73867i | −0.334240 | + | 0.578921i | −0.983339 | − | 0.181783i | \(-0.941813\pi\) |
0.649098 | + | 0.760705i | \(0.275146\pi\) | |||||||
\(68\) | −2.88201 | −0.349495 | ||||||||
\(69\) | 3.51147 | + | 0.0593058i | 0.422731 | + | 0.00713958i | ||||
\(70\) | 2.18780 | − | 1.48780i | 0.261492 | − | 0.177826i | ||||
\(71\) | 10.8486i | 1.28750i | 0.765238 | + | 0.643748i | \(0.222621\pi\) | ||||
−0.765238 | + | 0.643748i | \(0.777379\pi\) | |||||||
\(72\) | −0.101306 | + | 2.99829i | −0.0119390 | + | 0.353352i | ||||
\(73\) | 5.64929 | − | 3.26162i | 0.661199 | − | 0.381744i | −0.131535 | − | 0.991312i | \(-0.541990\pi\) |
0.792734 | + | 0.609568i | \(0.208657\pi\) | |||||||
\(74\) | 3.86338i | 0.449109i | ||||||||
\(75\) | 0.0292487 | − | 1.73180i | 0.00337735 | − | 0.199971i | ||||
\(76\) | 4.03431 | − | 2.32921i | 0.462767 | − | 0.267179i | ||||
\(77\) | −0.406885 | − | 5.51772i | −0.0463688 | − | 0.628802i | ||||
\(78\) | 0.709591 | + | 0.425819i | 0.0803454 | + | 0.0482145i | ||||
\(79\) | 7.81773 | + | 13.5407i | 0.879563 | + | 1.52345i | 0.851821 | + | 0.523833i | \(0.175498\pi\) |
0.0277423 | + | 0.999615i | \(0.491168\pi\) | |||||||
\(80\) | −0.500000 | − | 0.866025i | −0.0559017 | − | 0.0968246i | ||||
\(81\) | 8.97947 | + | 0.607490i | 0.997719 | + | 0.0674989i | ||||
\(82\) | −6.99572 | − | 4.03898i | −0.772548 | − | 0.446031i | ||||
\(83\) | 5.58951 | − | 9.68132i | 0.613529 | − | 1.06266i | −0.377112 | − | 0.926168i | \(-0.623083\pi\) |
0.990641 | − | 0.136495i | \(-0.0435839\pi\) | |||||||
\(84\) | −4.09214 | − | 2.06262i | −0.446489 | − | 0.225050i | ||||
\(85\) | −1.44100 | − | 2.49589i | −0.156299 | − | 0.270718i | ||||
\(86\) | 5.93804i | 0.640316i | ||||||||
\(87\) | 2.82940 | − | 4.71496i | 0.303344 | − | 0.505496i | ||||
\(88\) | −2.09116 | −0.222919 | ||||||||
\(89\) | −6.59060 | + | 11.4153i | −0.698602 | + | 1.21001i | 0.270349 | + | 0.962762i | \(0.412861\pi\) |
−0.968951 | + | 0.247252i | \(0.920472\pi\) | |||||||
\(90\) | −2.64725 | + | 1.41141i | −0.279044 | + | 0.148776i | ||||
\(91\) | −1.04530 | + | 0.710851i | −0.109577 | + | 0.0745174i | ||||
\(92\) | 1.75599 | + | 1.01382i | 0.183074 | + | 0.105698i | ||||
\(93\) | −4.72703 | + | 7.87718i | −0.490170 | + | 0.816826i | ||||
\(94\) | 0.0909962 | + | 0.0525367i | 0.00938554 | + | 0.00541874i | ||||
\(95\) | 4.03431 | + | 2.32921i | 0.413912 | + | 0.238972i | ||||
\(96\) | −0.891232 | + | 1.48516i | −0.0909610 | + | 0.151579i | ||||
\(97\) | 7.98211 | + | 4.60847i | 0.810460 | + | 0.467920i | 0.847116 | − | 0.531408i | \(-0.178337\pi\) |
−0.0366553 | + | 0.999328i | \(0.511670\pi\) | |||||||
\(98\) | 5.48321 | − | 4.35137i | 0.553887 | − | 0.439555i | ||||
\(99\) | −0.211848 | + | 6.26991i | −0.0212915 | + | 0.630150i | ||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | 18.8631 | 1.87695 | 0.938475 | − | 0.345347i | \(-0.112239\pi\) | ||||
0.938475 | + | 0.345347i | \(0.112239\pi\) | |||||||
\(102\) | −2.56854 | + | 4.28025i | −0.254323 | + | 0.423808i | ||||
\(103\) | 10.1578i | 1.00087i | 0.865773 | + | 0.500437i | \(0.166827\pi\) | ||||
−0.865773 | + | 0.500437i | \(0.833173\pi\) | |||||||
\(104\) | 0.238893 | + | 0.413776i | 0.0234254 | + | 0.0405740i | ||||
\(105\) | −0.259788 | − | 4.57521i | −0.0253527 | − | 0.446494i | ||||
\(106\) | −2.46623 | + | 4.27164i | −0.239542 | + | 0.414898i | ||||
\(107\) | −15.8802 | − | 9.16843i | −1.53520 | − | 0.886346i | −0.999110 | − | 0.0421823i | \(-0.986569\pi\) |
−0.536086 | − | 0.844163i | \(-0.680098\pi\) | |||||||
\(108\) | 4.36266 | + | 2.82263i | 0.419797 | + | 0.271607i | ||||
\(109\) | 7.08626 | + | 12.2738i | 0.678741 | + | 1.17561i | 0.975360 | + | 0.220618i | \(0.0708074\pi\) |
−0.296619 | + | 0.954996i | \(0.595859\pi\) | |||||||
\(110\) | −1.04558 | − | 1.81100i | −0.0996923 | − | 0.172672i | ||||
\(111\) | 5.73774 | + | 3.44317i | 0.544602 | + | 0.326811i | ||||
\(112\) | −1.48780 | − | 2.18780i | −0.140584 | − | 0.206727i | ||||
\(113\) | 6.91284 | − | 3.99113i | 0.650305 | − | 0.375454i | −0.138268 | − | 0.990395i | \(-0.544153\pi\) |
0.788573 | + | 0.614941i | \(0.210820\pi\) | |||||||
\(114\) | 0.136253 | − | 8.06747i | 0.0127612 | − | 0.755588i | ||||
\(115\) | 2.02764i | 0.189078i | ||||||||
\(116\) | 2.74938 | − | 1.58735i | 0.255273 | − | 0.147382i | ||||
\(117\) | 1.26482 | − | 0.674354i | 0.116933 | − | 0.0623440i | ||||
\(118\) | − | 2.81942i | − | 0.259549i | ||||||
\(119\) | −4.28785 | − | 6.30525i | −0.393067 | − | 0.578001i | ||||
\(120\) | −1.73180 | − | 0.0292487i | −0.158091 | − | 0.00267003i | ||||
\(121\) | 6.62704 | 0.602458 | ||||||||
\(122\) | 2.14655 | − | 3.71793i | 0.194340 | − | 0.336606i | ||||
\(123\) | −12.2334 | + | 6.79011i | −1.10304 | + | 0.612243i | ||||
\(124\) | −4.59333 | + | 2.65196i | −0.412493 | + | 0.238153i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −6.71037 | + | 4.23921i | −0.597807 | + | 0.377659i | ||||
\(127\) | 0.449694 | 0.0399039 | 0.0199520 | − | 0.999801i | \(-0.493649\pi\) | ||||
0.0199520 | + | 0.999801i | \(0.493649\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 8.81896 | + | 5.29218i | 0.776466 | + | 0.465950i | ||||
\(130\) | −0.238893 | + | 0.413776i | −0.0209523 | + | 0.0362905i | ||||
\(131\) | −10.4428 | −0.912392 | −0.456196 | − | 0.889879i | \(-0.650788\pi\) | ||||
−0.456196 | + | 0.889879i | \(0.650788\pi\) | |||||||
\(132\) | −1.86371 | + | 3.10572i | −0.162215 | + | 0.270318i | ||||
\(133\) | 11.0981 | + | 5.36086i | 0.962326 | + | 0.464845i | ||||
\(134\) | 5.47175i | 0.472687i | ||||||||
\(135\) | −0.263138 | + | 5.18949i | −0.0226473 | + | 0.446640i | ||||
\(136\) | −2.49589 | + | 1.44100i | −0.214021 | + | 0.123565i | ||||
\(137\) | − | 17.4349i | − | 1.48956i | −0.667310 | − | 0.744780i | \(-0.732554\pi\) | ||
0.667310 | − | 0.744780i | \(-0.267446\pi\) | |||||||
\(138\) | 3.07068 | − | 1.70437i | 0.261393 | − | 0.145086i | ||||
\(139\) | 11.1168 | − | 6.41827i | 0.942912 | − | 0.544390i | 0.0520399 | − | 0.998645i | \(-0.483428\pi\) |
0.890872 | + | 0.454255i | \(0.150094\pi\) | |||||||
\(140\) | 1.15079 | − | 2.38237i | 0.0972593 | − | 0.201347i | ||||
\(141\) | 0.159124 | − | 0.0883217i | 0.0134007 | − | 0.00743803i | ||||
\(142\) | 5.42432 | + | 9.39519i | 0.455198 | + | 0.788427i | ||||
\(143\) | 0.499565 | + | 0.865272i | 0.0417757 | + | 0.0723577i | ||||
\(144\) | 1.41141 | + | 2.64725i | 0.117618 | + | 0.220604i | ||||
\(145\) | 2.74938 | + | 1.58735i | 0.228323 | + | 0.131823i | ||||
\(146\) | 3.26162 | − | 5.64929i | 0.269933 | − | 0.467538i | ||||
\(147\) | −1.57569 | − | 12.0215i | −0.129960 | − | 0.991519i | ||||
\(148\) | 1.93169 | + | 3.34578i | 0.158784 | + | 0.275022i | ||||
\(149\) | 1.19092i | 0.0975637i | 0.998809 | + | 0.0487818i | \(0.0155339\pi\) | ||||
−0.998809 | + | 0.0487818i | \(0.984466\pi\) | |||||||
\(150\) | −0.840572 | − | 1.51441i | −0.0686324 | − | 0.123651i | ||||
\(151\) | 1.58349 | 0.128863 | 0.0644314 | − | 0.997922i | \(-0.479477\pi\) | ||||
0.0644314 | + | 0.997922i | \(0.479477\pi\) | |||||||
\(152\) | 2.32921 | − | 4.03431i | 0.188924 | − | 0.327226i | ||||
\(153\) | 4.06770 | + | 7.62939i | 0.328854 | + | 0.616800i | ||||
\(154\) | −3.11123 | − | 4.57504i | −0.250710 | − | 0.368667i | ||||
\(155\) | −4.59333 | − | 2.65196i | −0.368945 | − | 0.213011i | ||||
\(156\) | 0.827433 | + | 0.0139747i | 0.0662477 | + | 0.00111887i | ||||
\(157\) | −14.5680 | − | 8.41085i | −1.16266 | − | 0.671259i | −0.210716 | − | 0.977547i | \(-0.567580\pi\) |
−0.951939 | + | 0.306288i | \(0.900913\pi\) | |||||||
\(158\) | 13.5407 | + | 7.81773i | 1.07724 | + | 0.621945i | ||||
\(159\) | 4.14609 | + | 7.46978i | 0.328806 | + | 0.592392i | ||||
\(160\) | −0.866025 | − | 0.500000i | −0.0684653 | − | 0.0395285i | ||||
\(161\) | 0.394524 | + | 5.35010i | 0.0310929 | + | 0.421647i | ||||
\(162\) | 8.08020 | − | 3.96364i | 0.634840 | − | 0.311413i | ||||
\(163\) | −5.01637 | + | 8.68860i | −0.392912 | + | 0.680544i | −0.992832 | − | 0.119516i | \(-0.961866\pi\) |
0.599920 | + | 0.800060i | \(0.295199\pi\) | |||||||
\(164\) | −8.07796 | −0.630783 | ||||||||
\(165\) | −3.62148 | − | 0.0611638i | −0.281932 | − | 0.00476160i | ||||
\(166\) | − | 11.1790i | − | 0.867661i | ||||||
\(167\) | 7.17037 | + | 12.4194i | 0.554860 | + | 0.961045i | 0.997914 | + | 0.0645506i | \(0.0205614\pi\) |
−0.443055 | + | 0.896495i | \(0.646105\pi\) | |||||||
\(168\) | −4.57521 | + | 0.259788i | −0.352985 | + | 0.0200431i | ||||
\(169\) | −6.38586 | + | 11.0606i | −0.491220 | + | 0.850818i | ||||
\(170\) | −2.49589 | − | 1.44100i | −0.191426 | − | 0.110520i | ||||
\(171\) | −11.8601 | − | 7.39235i | −0.906962 | − | 0.565307i | ||||
\(172\) | 2.96902 | + | 5.14250i | 0.226386 | + | 0.392112i | ||||
\(173\) | −8.06316 | − | 13.9658i | −0.613031 | − | 1.06180i | −0.990727 | − | 0.135870i | \(-0.956617\pi\) |
0.377696 | − | 0.925930i | \(-0.376716\pi\) | |||||||
\(174\) | 0.0928562 | − | 5.49797i | 0.00703941 | − | 0.416800i | ||||
\(175\) | 2.63859 | − | 0.194573i | 0.199458 | − | 0.0147084i | ||||
\(176\) | −1.81100 | + | 1.04558i | −0.136509 | + | 0.0788137i | ||||
\(177\) | −4.18730 | − | 2.51276i | −0.314736 | − | 0.188870i | ||||
\(178\) | 13.1812i | 0.987973i | ||||||||
\(179\) | 0.0837491 | − | 0.0483526i | 0.00625970 | − | 0.00361404i | −0.496867 | − | 0.867827i | \(-0.665516\pi\) |
0.503127 | + | 0.864213i | \(0.332183\pi\) | |||||||
\(180\) | −1.58688 | + | 2.54594i | −0.118279 | + | 0.189763i | ||||
\(181\) | − | 20.0938i | − | 1.49356i | −0.665072 | − | 0.746779i | \(-0.731599\pi\) | ||
0.665072 | − | 0.746779i | \(-0.268401\pi\) | |||||||
\(182\) | −0.549832 | + | 1.13827i | −0.0407562 | + | 0.0843738i | ||||
\(183\) | −3.60866 | − | 6.50152i | −0.266760 | − | 0.480606i | ||||
\(184\) | 2.02764 | 0.149479 | ||||||||
\(185\) | −1.93169 | + | 3.34578i | −0.142021 | + | 0.245987i | ||||
\(186\) | −0.155133 | + | 9.18536i | −0.0113749 | + | 0.673503i | ||||
\(187\) | −5.21932 | + | 3.01338i | −0.381674 | + | 0.220360i | ||||
\(188\) | 0.105073 | 0.00766326 | ||||||||
\(189\) | 0.315422 | + | 13.7441i | 0.0229436 | + | 0.999737i | ||||
\(190\) | 4.65842 | 0.337957 | ||||||||
\(191\) | −3.05974 | + | 1.76654i | −0.221395 | + | 0.127822i | −0.606596 | − | 0.795010i | \(-0.707465\pi\) |
0.385201 | + | 0.922833i | \(0.374132\pi\) | |||||||
\(192\) | −0.0292487 | + | 1.73180i | −0.00211084 | + | 0.124982i | ||||
\(193\) | −12.6572 | + | 21.9229i | −0.911084 | + | 1.57804i | −0.0985491 | + | 0.995132i | \(0.531420\pi\) |
−0.812535 | + | 0.582912i | \(0.801913\pi\) | |||||||
\(194\) | 9.21695 | 0.661738 | ||||||||
\(195\) | 0.401614 | + | 0.723566i | 0.0287602 | + | 0.0518156i | ||||
\(196\) | 2.57291 | − | 6.51000i | 0.183779 | − | 0.465000i | ||||
\(197\) | − | 9.01088i | − | 0.641999i | −0.947079 | − | 0.320999i | \(-0.895981\pi\) | ||
0.947079 | − | 0.320999i | \(-0.104019\pi\) | |||||||
\(198\) | 2.95149 | + | 5.53583i | 0.209753 | + | 0.393414i | ||||
\(199\) | −12.3893 | + | 7.15296i | −0.878254 | + | 0.507060i | −0.870082 | − | 0.492907i | \(-0.835934\pi\) |
−0.00817145 | + | 0.999967i | \(0.502601\pi\) | |||||||
\(200\) | − | 1.00000i | − | 0.0707107i | ||||||
\(201\) | 8.12643 | + | 4.87660i | 0.573194 | + | 0.343969i | ||||
\(202\) | 16.3359 | − | 9.43156i | 1.14939 | − | 0.663602i | ||||
\(203\) | 7.56333 | + | 3.65342i | 0.530842 | + | 0.256420i | ||||
\(204\) | −0.0842951 | + | 4.99107i | −0.00590184 | + | 0.349445i | ||||
\(205\) | −4.03898 | − | 6.99572i | −0.282095 | − | 0.488602i | ||||
\(206\) | 5.07888 | + | 8.79688i | 0.353863 | + | 0.612908i | ||||
\(207\) | 0.205412 | − | 6.07944i | 0.0142771 | − | 0.422551i | ||||
\(208\) | 0.413776 | + | 0.238893i | 0.0286902 | + | 0.0165643i | ||||
\(209\) | 4.87076 | − | 8.43640i | 0.336917 | − | 0.583558i | ||||
\(210\) | −2.51259 | − | 3.83235i | −0.173385 | − | 0.264457i | ||||
\(211\) | −0.442791 | − | 0.766937i | −0.0304830 | − | 0.0527981i | 0.850381 | − | 0.526167i | \(-0.176371\pi\) |
−0.880864 | + | 0.473369i | \(0.843038\pi\) | |||||||
\(212\) | 4.93246i | 0.338763i | ||||||||
\(213\) | 18.7877 | + | 0.317309i | 1.28731 | + | 0.0217416i | ||||
\(214\) | −18.3369 | −1.25348 | ||||||||
\(215\) | −2.96902 | + | 5.14250i | −0.202486 | + | 0.350715i | ||||
\(216\) | 5.18949 | + | 0.263138i | 0.353100 | + | 0.0179043i | ||||
\(217\) | −12.6359 | − | 6.10369i | −0.857781 | − | 0.414346i | ||||
\(218\) | 12.2738 | + | 7.08626i | 0.831284 | + | 0.479942i | ||||
\(219\) | −5.48325 | − | 9.87886i | −0.370524 | − | 0.667551i | ||||
\(220\) | −1.81100 | − | 1.04558i | −0.122098 | − | 0.0704931i | ||||
\(221\) | 1.19251 | + | 0.688493i | 0.0802166 | + | 0.0463131i | ||||
\(222\) | 6.69061 | + | 0.112999i | 0.449045 | + | 0.00758399i | ||||
\(223\) | 0.0602532 | + | 0.0347872i | 0.00403485 | + | 0.00232952i | 0.502016 | − | 0.864858i | \(-0.332592\pi\) |
−0.497981 | + | 0.867188i | \(0.665925\pi\) | |||||||
\(224\) | −2.38237 | − | 1.15079i | −0.159179 | − | 0.0768903i | ||||
\(225\) | −2.99829 | − | 0.101306i | −0.199886 | − | 0.00675374i | ||||
\(226\) | 3.99113 | − | 6.91284i | 0.265486 | − | 0.459835i | ||||
\(227\) | −18.3801 | −1.21993 | −0.609964 | − | 0.792429i | \(-0.708816\pi\) | ||||
−0.609964 | + | 0.792429i | \(0.708816\pi\) | |||||||
\(228\) | −3.91574 | − | 7.05476i | −0.259326 | − | 0.467213i | ||||
\(229\) | 16.0697i | 1.06192i | 0.847398 | + | 0.530958i | \(0.178168\pi\) | ||||
−0.847398 | + | 0.530958i | \(0.821832\pi\) | |||||||
\(230\) | 1.01382 | + | 1.75599i | 0.0668492 | + | 0.115786i | ||||
\(231\) | −9.56750 | + | 0.543258i | −0.629495 | + | 0.0357438i | ||||
\(232\) | 1.58735 | − | 2.74938i | 0.104215 | − | 0.180506i | ||||
\(233\) | −22.4677 | − | 12.9717i | −1.47191 | − | 0.849808i | −0.472408 | − | 0.881380i | \(-0.656615\pi\) |
−0.999501 | + | 0.0315722i | \(0.989949\pi\) | |||||||
\(234\) | 0.758190 | − | 1.21642i | 0.0495644 | − | 0.0795197i | ||||
\(235\) | 0.0525367 | + | 0.0909962i | 0.00342711 | + | 0.00593593i | ||||
\(236\) | −1.40971 | − | 2.44169i | −0.0917643 | − | 0.158941i | ||||
\(237\) | 23.6785 | − | 13.1427i | 1.53808 | − | 0.853712i | ||||
\(238\) | −6.86601 | − | 3.31658i | −0.445058 | − | 0.214982i | ||||
\(239\) | −8.46444 | + | 4.88695i | −0.547519 | + | 0.316110i | −0.748121 | − | 0.663563i | \(-0.769044\pi\) |
0.200602 | + | 0.979673i | \(0.435710\pi\) | |||||||
\(240\) | −1.51441 | + | 0.840572i | −0.0977548 | + | 0.0542587i | ||||
\(241\) | − | 25.6104i | − | 1.64971i | −0.565345 | − | 0.824854i | \(-0.691257\pi\) | ||
0.565345 | − | 0.824854i | \(-0.308743\pi\) | |||||||
\(242\) | 5.73918 | − | 3.31352i | 0.368929 | − | 0.213001i | ||||
\(243\) | 1.31469 | − | 15.5329i | 0.0843375 | − | 0.996437i | ||||
\(244\) | − | 4.29310i | − | 0.274838i | ||||||
\(245\) | 6.92428 | − | 1.02680i | 0.442376 | − | 0.0655997i | ||||
\(246\) | −7.19934 | + | 11.9971i | −0.459013 | + | 0.764906i | ||||
\(247\) | −2.22573 | −0.141620 | ||||||||
\(248\) | −2.65196 | + | 4.59333i | −0.168400 | + | 0.291677i | ||||
\(249\) | −16.6027 | − | 9.96311i | −1.05215 | − | 0.631386i | ||||
\(250\) | 0.866025 | − | 0.500000i | 0.0547723 | − | 0.0316228i | ||||
\(251\) | −8.02626 | −0.506613 | −0.253307 | − | 0.967386i | \(-0.581518\pi\) | ||||
−0.253307 | + | 0.967386i | \(0.581518\pi\) | |||||||
\(252\) | −3.69174 | + | 7.02645i | −0.232558 | + | 0.442625i | ||||
\(253\) | 4.24012 | 0.266574 | ||||||||
\(254\) | 0.389447 | − | 0.224847i | 0.0244361 | − | 0.0141082i | ||||
\(255\) | −4.36455 | + | 2.42254i | −0.273318 | + | 0.151705i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1.25239 | −0.0781216 | −0.0390608 | − | 0.999237i | \(-0.512437\pi\) | ||||
−0.0390608 | + | 0.999237i | \(0.512437\pi\) | |||||||
\(258\) | 10.2835 | + | 0.173680i | 0.640225 | + | 0.0108129i | ||||
\(259\) | −4.44593 | + | 9.20400i | −0.276257 | + | 0.571908i | ||||
\(260\) | 0.477787i | 0.0296311i | ||||||||
\(261\) | −8.08262 | − | 5.03788i | −0.500302 | − | 0.311837i | ||||
\(262\) | −9.04374 | + | 5.22140i | −0.558724 | + | 0.322579i | ||||
\(263\) | 7.23219i | 0.445956i | 0.974824 | + | 0.222978i | \(0.0715778\pi\) | ||||
−0.974824 | + | 0.222978i | \(0.928422\pi\) | |||||||
\(264\) | −0.0611638 | + | 3.62148i | −0.00376437 | + | 0.222887i | ||||
\(265\) | −4.27164 | + | 2.46623i | −0.262405 | + | 0.151499i | ||||
\(266\) | 12.2917 | − | 0.906405i | 0.753649 | − | 0.0555753i | ||||
\(267\) | 19.5762 | + | 11.7475i | 1.19804 | + | 0.718936i | ||||
\(268\) | 2.73588 | + | 4.73867i | 0.167120 | + | 0.289461i | ||||
\(269\) | 5.65912 | + | 9.80188i | 0.345043 | + | 0.597631i | 0.985362 | − | 0.170478i | \(-0.0545311\pi\) |
−0.640319 | + | 0.768109i | \(0.721198\pi\) | |||||||
\(270\) | 2.36686 | + | 4.62580i | 0.144042 | + | 0.281517i | ||||
\(271\) | 3.52208 | + | 2.03347i | 0.213951 | + | 0.123525i | 0.603146 | − | 0.797631i | \(-0.293914\pi\) |
−0.389195 | + | 0.921155i | \(0.627247\pi\) | |||||||
\(272\) | −1.44100 | + | 2.49589i | −0.0873737 | + | 0.151336i | ||||
\(273\) | 1.20048 | + | 1.83105i | 0.0726564 | + | 0.110820i | ||||
\(274\) | −8.71743 | − | 15.0990i | −0.526639 | − | 0.912165i | ||||
\(275\) | − | 2.09116i | − | 0.126102i | ||||||
\(276\) | 1.80710 | − | 3.01137i | 0.108774 | − | 0.181263i | ||||
\(277\) | −3.69051 | −0.221741 | −0.110871 | − | 0.993835i | \(-0.535364\pi\) | ||||
−0.110871 | + | 0.993835i | \(0.535364\pi\) | |||||||
\(278\) | 6.41827 | − | 11.1168i | 0.384942 | − | 0.666739i | ||||
\(279\) | 13.5035 | + | 8.41668i | 0.808432 | + | 0.503893i | ||||
\(280\) | −0.194573 | − | 2.63859i | −0.0116280 | − | 0.157686i | ||||
\(281\) | 21.3133 | + | 12.3052i | 1.27144 | + | 0.734068i | 0.975260 | − | 0.221063i | \(-0.0709527\pi\) |
0.296184 | + | 0.955131i | \(0.404286\pi\) | |||||||
\(282\) | 0.0936447 | − | 0.156051i | 0.00557646 | − | 0.00929269i | ||||
\(283\) | −1.56082 | − | 0.901139i | −0.0927810 | − | 0.0535671i | 0.452892 | − | 0.891566i | \(-0.350392\pi\) |
−0.545673 | + | 0.837998i | \(0.683726\pi\) | |||||||
\(284\) | 9.39519 | + | 5.42432i | 0.557502 | + | 0.321874i | ||||
\(285\) | 4.15173 | − | 6.91851i | 0.245928 | − | 0.409817i | ||||
\(286\) | 0.865272 | + | 0.499565i | 0.0511646 | + | 0.0295399i | ||||
\(287\) | −12.0184 | − | 17.6729i | −0.709423 | − | 1.04320i | ||||
\(288\) | 2.54594 | + | 1.58688i | 0.150021 | + | 0.0935077i | ||||
\(289\) | 4.34701 | − | 7.52924i | 0.255707 | − | 0.442897i | ||||
\(290\) | 3.17471 | 0.186425 | ||||||||
\(291\) | 8.21444 | − | 13.6887i | 0.481539 | − | 0.802443i | ||||
\(292\) | − | 6.52324i | − | 0.381744i | ||||||
\(293\) | −11.8910 | − | 20.5959i | −0.694682 | − | 1.20322i | −0.970288 | − | 0.241953i | \(-0.922212\pi\) |
0.275606 | − | 0.961271i | \(-0.411121\pi\) | |||||||
\(294\) | −7.37535 | − | 9.62311i | −0.430139 | − | 0.561231i | ||||
\(295\) | 1.40971 | − | 2.44169i | 0.0820765 | − | 0.142161i | ||||
\(296\) | 3.34578 | + | 1.93169i | 0.194470 | + | 0.112277i | ||||
\(297\) | 10.8521 | + | 0.550265i | 0.629700 | + | 0.0319296i | ||||
\(298\) | 0.595458 | + | 1.03136i | 0.0344940 | + | 0.0597453i | ||||
\(299\) | −0.484389 | − | 0.838987i | −0.0280130 | − | 0.0485199i | ||||
\(300\) | −1.48516 | − | 0.891232i | −0.0857459 | − | 0.0514553i | ||||
\(301\) | −6.83343 | + | 14.1466i | −0.393872 | + | 0.815398i | ||||
\(302\) | 1.37135 | − | 0.791747i | 0.0789121 | − | 0.0455599i | ||||
\(303\) | 0.551722 | − | 32.6672i | 0.0316956 | − | 1.87668i | ||||
\(304\) | − | 4.65842i | − | 0.267179i | ||||||
\(305\) | 3.71793 | − | 2.14655i | 0.212888 | − | 0.122911i | ||||
\(306\) | 7.33743 | + | 4.57340i | 0.419453 | + | 0.261444i | ||||
\(307\) | 5.99873i | 0.342366i | 0.985239 | + | 0.171183i | \(0.0547589\pi\) | ||||
−0.985239 | + | 0.171183i | \(0.945241\pi\) | |||||||
\(308\) | −4.98192 | − | 2.40649i | −0.283871 | − | 0.137122i | ||||
\(309\) | 17.5913 | + | 0.297102i | 1.00073 | + | 0.0169015i | ||||
\(310\) | −5.30392 | −0.301243 | ||||||||
\(311\) | −11.8641 | + | 20.5493i | −0.672753 | + | 1.16524i | 0.304367 | + | 0.952555i | \(0.401555\pi\) |
−0.977120 | + | 0.212688i | \(0.931778\pi\) | |||||||
\(312\) | 0.723566 | − | 0.401614i | 0.0409638 | − | 0.0227369i | ||||
\(313\) | 2.56825 | − | 1.48278i | 0.145166 | − | 0.0838116i | −0.425658 | − | 0.904884i | \(-0.639957\pi\) |
0.570824 | + | 0.821073i | \(0.306624\pi\) | |||||||
\(314\) | −16.8217 | −0.949304 | ||||||||
\(315\) | −7.93096 | + | 0.316082i | −0.446859 | + | 0.0178092i | ||||
\(316\) | 15.6355 | 0.879563 | ||||||||
\(317\) | −11.2152 | + | 6.47508i | −0.629906 | + | 0.363677i | −0.780716 | − | 0.624886i | \(-0.785145\pi\) |
0.150809 | + | 0.988563i | \(0.451812\pi\) | |||||||
\(318\) | 7.32551 | + | 4.39597i | 0.410794 | + | 0.246514i | ||||
\(319\) | 3.31942 | − | 5.74940i | 0.185852 | − | 0.321904i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | −16.3424 | + | 27.2332i | −0.912144 | + | 1.52001i | ||||
\(322\) | 3.01672 | + | 4.43606i | 0.168115 | + | 0.247212i | ||||
\(323\) | − | 13.4256i | − | 0.747021i | ||||||
\(324\) | 5.01584 | − | 7.47271i | 0.278658 | − | 0.415150i | ||||
\(325\) | −0.413776 | + | 0.238893i | −0.0229521 | + | 0.0132514i | ||||
\(326\) | 10.0327i | 0.555662i | ||||||||
\(327\) | 21.4630 | − | 11.9130i | 1.18691 | − | 0.658792i | ||||
\(328\) | −6.99572 | + | 4.03898i | −0.386274 | + | 0.223015i | ||||
\(329\) | 0.156328 | + | 0.229879i | 0.00861864 | + | 0.0126736i | ||||
\(330\) | −3.16688 | + | 1.75777i | −0.174331 | + | 0.0967622i | ||||
\(331\) | −17.0020 | − | 29.4483i | −0.934514 | − | 1.61863i | −0.775498 | − | 0.631350i | \(-0.782501\pi\) |
−0.159016 | − | 0.987276i | \(-0.550832\pi\) | |||||||
\(332\) | −5.58951 | − | 9.68132i | −0.306764 | − | 0.531332i | ||||
\(333\) | 6.13071 | − | 9.83593i | 0.335961 | − | 0.539006i | ||||
\(334\) | 12.4194 | + | 7.17037i | 0.679562 | + | 0.392345i | ||||
\(335\) | −2.73588 | + | 4.73867i | −0.149477 | + | 0.258901i | ||||
\(336\) | −3.83235 | + | 2.51259i | −0.209072 | + | 0.137073i | ||||
\(337\) | 11.3157 | + | 19.5993i | 0.616403 | + | 1.06764i | 0.990137 | + | 0.140105i | \(0.0447440\pi\) |
−0.373734 | + | 0.927536i | \(0.621923\pi\) | |||||||
\(338\) | 12.7717i | 0.694690i | ||||||||
\(339\) | −6.70966 | − | 12.0884i | −0.364419 | − | 0.656553i | ||||
\(340\) | −2.88201 | −0.156299 | ||||||||
\(341\) | −5.54568 | + | 9.60541i | −0.300316 | + | 0.520162i | ||||
\(342\) | −13.9673 | − | 0.471926i | −0.755265 | − | 0.0255189i | ||||
\(343\) | 18.0705 | − | 4.05658i | 0.975717 | − | 0.219035i | ||||
\(344\) | 5.14250 | + | 2.96902i | 0.277265 | + | 0.160079i | ||||
\(345\) | 3.51147 | + | 0.0593058i | 0.189051 | + | 0.00319292i | ||||
\(346\) | −13.9658 | − | 8.06316i | −0.750806 | − | 0.433478i | ||||
\(347\) | 11.0660 | + | 6.38896i | 0.594054 | + | 0.342977i | 0.766699 | − | 0.642007i | \(-0.221898\pi\) |
−0.172645 | + | 0.984984i | \(0.555231\pi\) | |||||||
\(348\) | −2.66857 | − | 4.80781i | −0.143050 | − | 0.257726i | ||||
\(349\) | −3.95316 | − | 2.28236i | −0.211608 | − | 0.122172i | 0.390451 | − | 0.920624i | \(-0.372319\pi\) |
−0.602058 | + | 0.798452i | \(0.705653\pi\) | |||||||
\(350\) | 2.18780 | − | 1.48780i | 0.116943 | − | 0.0795262i | ||||
\(351\) | −1.13085 | − | 2.21014i | −0.0603605 | − | 0.117969i | ||||
\(352\) | −1.04558 | + | 1.81100i | −0.0557297 | + | 0.0965266i | ||||
\(353\) | 15.9021 | 0.846384 | 0.423192 | − | 0.906040i | \(-0.360910\pi\) | ||||
0.423192 | + | 0.906040i | \(0.360910\pi\) | |||||||
\(354\) | −4.88268 | − | 0.0824644i | −0.259512 | − | 0.00438294i | ||||
\(355\) | 10.8486i | 0.575786i | ||||||||
\(356\) | 6.59060 | + | 11.4153i | 0.349301 | + | 0.605007i | ||||
\(357\) | −11.0449 | + | 7.24130i | −0.584557 | + | 0.383250i | ||||
\(358\) | 0.0483526 | − | 0.0837491i | 0.00255551 | − | 0.00442628i | ||||
\(359\) | −17.0237 | − | 9.82867i | −0.898479 | − | 0.518737i | −0.0217726 | − | 0.999763i | \(-0.506931\pi\) |
−0.876706 | + | 0.481026i | \(0.840264\pi\) | |||||||
\(360\) | −0.101306 | + | 2.99829i | −0.00533930 | + | 0.158024i | ||||
\(361\) | 1.35045 | + | 2.33904i | 0.0710761 | + | 0.123107i | ||||
\(362\) | −10.0469 | − | 17.4017i | −0.528052 | − | 0.914614i | ||||
\(363\) | 0.193832 | − | 11.4767i | 0.0101736 | − | 0.602372i | ||||
\(364\) | 0.0929646 | + | 1.26068i | 0.00487267 | + | 0.0660777i | ||||
\(365\) | 5.64929 | − | 3.26162i | 0.295697 | − | 0.170721i | ||||
\(366\) | −6.37595 | − | 3.82615i | −0.333276 | − | 0.199996i | ||||
\(367\) | − | 21.9998i | − | 1.14838i | −0.818721 | − | 0.574191i | \(-0.805317\pi\) | ||
0.818721 | − | 0.574191i | \(-0.194683\pi\) | |||||||
\(368\) | 1.75599 | − | 1.01382i | 0.0915371 | − | 0.0528490i | ||||
\(369\) | 11.4013 | + | 21.3844i | 0.593529 | + | 1.11323i | ||||
\(370\) | 3.86338i | 0.200847i | ||||||||
\(371\) | −10.7912 | + | 7.33852i | −0.560253 | + | 0.380997i | ||||
\(372\) | 4.45833 | + | 8.03232i | 0.231154 | + | 0.416456i | ||||
\(373\) | −23.3319 | −1.20808 | −0.604041 | − | 0.796954i | \(-0.706444\pi\) | ||||
−0.604041 | + | 0.796954i | \(0.706444\pi\) | |||||||
\(374\) | −3.01338 | + | 5.21932i | −0.155818 | + | 0.269885i | ||||
\(375\) | 0.0292487 | − | 1.73180i | 0.00151040 | − | 0.0894300i | ||||
\(376\) | 0.0909962 | − | 0.0525367i | 0.00469277 | − | 0.00270937i | ||||
\(377\) | −1.51683 | −0.0781210 | ||||||||
\(378\) | 7.14522 | + | 11.7450i | 0.367510 | + | 0.604099i | ||||
\(379\) | −20.3159 | −1.04356 | −0.521780 | − | 0.853080i | \(-0.674732\pi\) | ||||
−0.521780 | + | 0.853080i | \(0.674732\pi\) | |||||||
\(380\) | 4.03431 | − | 2.32921i | 0.206956 | − | 0.119486i | ||||
\(381\) | 0.0131530 | − | 0.778782i | 0.000673848 | − | 0.0398982i | ||||
\(382\) | −1.76654 | + | 3.05974i | −0.0903841 | + | 0.156550i | ||||
\(383\) | −3.82312 | −0.195352 | −0.0976762 | − | 0.995218i | \(-0.531141\pi\) | ||||
−0.0976762 | + | 0.995218i | \(0.531141\pi\) | |||||||
\(384\) | 0.840572 | + | 1.51441i | 0.0428952 | + | 0.0772819i | ||||
\(385\) | −0.406885 | − | 5.51772i | −0.0207368 | − | 0.281209i | ||||
\(386\) | 25.3144i | 1.28847i | ||||||||
\(387\) | 9.42295 | − | 15.1179i | 0.478996 | − | 0.768487i | ||||
\(388\) | 7.98211 | − | 4.60847i | 0.405230 | − | 0.233960i | ||||
\(389\) | − | 19.3426i | − | 0.980711i | −0.871522 | − | 0.490356i | \(-0.836867\pi\) | ||
0.871522 | − | 0.490356i | \(-0.163133\pi\) | |||||||
\(390\) | 0.709591 | + | 0.425819i | 0.0359315 | + | 0.0215622i | ||||
\(391\) | 5.06077 | − | 2.92184i | 0.255934 | − | 0.147764i | ||||
\(392\) | −1.02680 | − | 6.92428i | −0.0518611 | − | 0.349729i | ||||
\(393\) | −0.305439 | + | 18.0849i | −0.0154073 | + | 0.912262i | ||||
\(394\) | −4.50544 | − | 7.80365i | −0.226981 | − | 0.393142i | ||||
\(395\) | 7.81773 | + | 13.5407i | 0.393353 | + | 0.681307i | ||||
\(396\) | 5.32398 | + | 3.31842i | 0.267540 | + | 0.166757i | ||||
\(397\) | −26.2370 | − | 15.1479i | −1.31680 | − | 0.760253i | −0.333585 | − | 0.942720i | \(-0.608258\pi\) |
−0.983212 | + | 0.182467i | \(0.941592\pi\) | |||||||
\(398\) | −7.15296 | + | 12.3893i | −0.358546 | + | 0.621019i | ||||
\(399\) | 9.60855 | − | 19.0629i | 0.481029 | − | 0.954339i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 33.0679i | 1.65133i | 0.564159 | + | 0.825666i | \(0.309200\pi\) | ||||
−0.564159 | + | 0.825666i | \(0.690800\pi\) | |||||||
\(402\) | 9.47600 | + | 0.160042i | 0.472620 | + | 0.00798215i | ||||
\(403\) | 2.53415 | 0.126235 | ||||||||
\(404\) | 9.43156 | − | 16.3359i | 0.469238 | − | 0.812743i | ||||
\(405\) | 8.97947 | + | 0.607490i | 0.446194 | + | 0.0301864i | ||||
\(406\) | 8.37674 | − | 0.617714i | 0.415731 | − | 0.0306566i | ||||
\(407\) | 6.99658 | + | 4.03948i | 0.346808 | + | 0.200229i | ||||
\(408\) | 2.42254 | + | 4.36455i | 0.119933 | + | 0.216077i | ||||
\(409\) | −14.7421 | − | 8.51133i | −0.728948 | − | 0.420858i | 0.0890894 | − | 0.996024i | \(-0.471604\pi\) |
−0.818037 | + | 0.575165i | \(0.804938\pi\) | |||||||
\(410\) | −6.99572 | − | 4.03898i | −0.345494 | − | 0.199471i | ||||
\(411\) | −30.1937 | − | 0.509947i | −1.48935 | − | 0.0251538i | ||||
\(412\) | 8.79688 | + | 5.07888i | 0.433391 | + | 0.250219i | ||||
\(413\) | 3.24456 | − | 6.71690i | 0.159654 | − | 0.330517i | ||||
\(414\) | −2.86183 | − | 5.36766i | −0.140651 | − | 0.263806i | ||||
\(415\) | 5.58951 | − | 9.68132i | 0.274378 | − | 0.475237i | ||||
\(416\) | 0.477787 | 0.0234254 | ||||||||
\(417\) | −10.7900 | − | 19.4398i | −0.528390 | − | 0.951970i | ||||
\(418\) | − | 9.74152i | − | 0.476473i | ||||||
\(419\) | −3.89228 | − | 6.74162i | −0.190150 | − | 0.329350i | 0.755150 | − | 0.655552i | \(-0.227564\pi\) |
−0.945300 | + | 0.326203i | \(0.894231\pi\) | |||||||
\(420\) | −4.09214 | − | 2.06262i | −0.199676 | − | 0.100646i | ||||
\(421\) | 15.4668 | − | 26.7894i | 0.753808 | − | 1.30563i | −0.192157 | − | 0.981364i | \(-0.561548\pi\) |
0.945965 | − | 0.324269i | \(-0.105118\pi\) | |||||||
\(422\) | −0.766937 | − | 0.442791i | −0.0373339 | − | 0.0215547i | ||||
\(423\) | −0.148302 | − | 0.278155i | −0.00721067 | − | 0.0135244i | ||||
\(424\) | 2.46623 | + | 4.27164i | 0.119771 | + | 0.207449i | ||||
\(425\) | −1.44100 | − | 2.49589i | −0.0698990 | − | 0.121069i | ||||
\(426\) | 16.4293 | − | 9.11905i | 0.796001 | − | 0.441820i | ||||
\(427\) | 9.39243 | − | 6.38727i | 0.454532 | − | 0.309102i | ||||
\(428\) | −15.8802 | + | 9.16843i | −0.767598 | + | 0.443173i | ||||
\(429\) | 1.51309 | − | 0.839841i | 0.0730528 | − | 0.0405479i | ||||
\(430\) | 5.93804i | 0.286358i | ||||||||
\(431\) | 17.0026 | − | 9.81647i | 0.818988 | − | 0.472843i | −0.0310795 | − | 0.999517i | \(-0.509895\pi\) |
0.850067 | + | 0.526674i | \(0.176561\pi\) | |||||||
\(432\) | 4.62580 | − | 2.36686i | 0.222559 | − | 0.113876i | ||||
\(433\) | − | 35.9562i | − | 1.72794i | −0.503540 | − | 0.863972i | \(-0.667969\pi\) | ||
0.503540 | − | 0.863972i | \(-0.332031\pi\) | |||||||
\(434\) | −13.9949 | + | 1.03200i | −0.671775 | + | 0.0495377i | ||||
\(435\) | 2.82940 | − | 4.71496i | 0.135659 | − | 0.226065i | ||||
\(436\) | 14.1725 | 0.678741 | ||||||||
\(437\) | −4.72280 | + | 8.18012i | −0.225922 | + | 0.391308i | ||||
\(438\) | −9.68806 | − | 5.81372i | −0.462913 | − | 0.277790i | ||||
\(439\) | 21.0814 | − | 12.1713i | 1.00616 | − | 0.580906i | 0.0960937 | − | 0.995372i | \(-0.469365\pi\) |
0.910065 | + | 0.414467i | \(0.136032\pi\) | |||||||
\(440\) | −2.09116 | −0.0996923 | ||||||||
\(441\) | −20.8650 | + | 2.37716i | −0.993572 | + | 0.113198i | ||||
\(442\) | 1.37699 | 0.0654966 | ||||||||
\(443\) | −5.14619 | + | 2.97116i | −0.244503 | + | 0.141164i | −0.617245 | − | 0.786771i | \(-0.711751\pi\) |
0.372742 | + | 0.927935i | \(0.378418\pi\) | |||||||
\(444\) | 5.85074 | − | 3.24745i | 0.277664 | − | 0.154117i | ||||
\(445\) | −6.59060 | + | 11.4153i | −0.312424 | + | 0.541135i | ||||
\(446\) | 0.0695744 | 0.00329444 | ||||||||
\(447\) | 2.06243 | + | 0.0348328i | 0.0975498 | + | 0.00164753i | ||||
\(448\) | −2.63859 | + | 0.194573i | −0.124662 | + | 0.00919273i | ||||
\(449\) | − | 3.59042i | − | 0.169442i | −0.996405 | − | 0.0847211i | \(-0.973000\pi\) | ||
0.996405 | − | 0.0847211i | \(-0.0269999\pi\) | |||||||
\(450\) | −2.64725 | + | 1.41141i | −0.124792 | + | 0.0665345i | ||||
\(451\) | −14.6292 | + | 8.44617i | −0.688862 | + | 0.397715i | ||||
\(452\) | − | 7.98226i | − | 0.375454i | ||||||
\(453\) | 0.0463152 | − | 2.74230i | 0.00217608 | − | 0.128845i | ||||
\(454\) | −15.9176 | + | 9.19003i | −0.747050 | + | 0.431310i | ||||
\(455\) | −1.04530 | + | 0.710851i | −0.0490045 | + | 0.0333252i | ||||
\(456\) | −6.91851 | − | 4.15173i | −0.323989 | − | 0.194423i | ||||
\(457\) | −6.72945 | − | 11.6558i | −0.314791 | − | 0.545233i | 0.664602 | − | 0.747197i | \(-0.268601\pi\) |
−0.979393 | + | 0.201964i | \(0.935268\pi\) | |||||||
\(458\) | 8.03486 | + | 13.9168i | 0.375444 | + | 0.650288i | ||||
\(459\) | 13.3316 | − | 6.82131i | 0.622265 | − | 0.318391i | ||||
\(460\) | 1.75599 | + | 1.01382i | 0.0818733 | + | 0.0472695i | ||||
\(461\) | 13.5633 | − | 23.4924i | 0.631708 | − | 1.09415i | −0.355495 | − | 0.934678i | \(-0.615688\pi\) |
0.987202 | − | 0.159472i | \(-0.0509791\pi\) | |||||||
\(462\) | −8.01407 | + | 5.25423i | −0.372848 | + | 0.244449i | ||||
\(463\) | −15.9746 | − | 27.6688i | −0.742403 | − | 1.28588i | −0.951398 | − | 0.307963i | \(-0.900353\pi\) |
0.208995 | − | 0.977917i | \(-0.432981\pi\) | |||||||
\(464\) | − | 3.17471i | − | 0.147382i | ||||||
\(465\) | −4.72703 | + | 7.87718i | −0.219211 | + | 0.365296i | ||||
\(466\) | −25.9435 | −1.20181 | ||||||||
\(467\) | −18.4026 | + | 31.8743i | −0.851572 | + | 1.47497i | 0.0282177 | + | 0.999602i | \(0.491017\pi\) |
−0.879789 | + | 0.475364i | \(0.842316\pi\) | |||||||
\(468\) | 0.0484027 | − | 1.43254i | 0.00223742 | − | 0.0662193i | ||||
\(469\) | −6.29682 | + | 13.0357i | −0.290760 | + | 0.601934i | ||||
\(470\) | 0.0909962 | + | 0.0525367i | 0.00419734 | + | 0.00242334i | ||||
\(471\) | −14.9920 | + | 24.9830i | −0.690797 | + | 1.15115i | ||||
\(472\) | −2.44169 | − | 1.40971i | −0.112388 | − | 0.0648872i | ||||
\(473\) | 10.7538 | + | 6.20871i | 0.494460 | + | 0.285477i | ||||
\(474\) | 13.9348 | − | 23.2212i | 0.640048 | − | 1.06658i | ||||
\(475\) | 4.03431 | + | 2.32921i | 0.185107 | + | 0.106872i | ||||
\(476\) | −7.60443 | + | 0.560762i | −0.348549 | + | 0.0257025i | ||||
\(477\) | 13.0575 | − | 6.96173i | 0.597860 | − | 0.318756i | ||||
\(478\) | −4.88695 | + | 8.46444i | −0.223524 | + | 0.387155i | ||||
\(479\) | −17.6491 | −0.806406 | −0.403203 | − | 0.915110i | \(-0.632103\pi\) | ||||
−0.403203 | + | 0.915110i | \(0.632103\pi\) | |||||||
\(480\) | −0.891232 | + | 1.48516i | −0.0406790 | + | 0.0677880i | ||||
\(481\) | − | 1.84587i | − | 0.0841645i | ||||||
\(482\) | −12.8052 | − | 22.1792i | −0.583260 | − | 1.01024i | ||||
\(483\) | 9.27686 | − | 0.526755i | 0.422112 | − | 0.0239682i | ||||
\(484\) | 3.31352 | − | 5.73918i | 0.150614 | − | 0.260872i | ||||
\(485\) | 7.98211 | + | 4.60847i | 0.362449 | + | 0.209260i | ||||
\(486\) | −6.62790 | − | 14.1092i | −0.300648 | − | 0.640009i | ||||
\(487\) | 5.44521 | + | 9.43137i | 0.246746 | + | 0.427376i | 0.962621 | − | 0.270852i | \(-0.0873054\pi\) |
−0.715875 | + | 0.698228i | \(0.753972\pi\) | |||||||
\(488\) | −2.14655 | − | 3.71793i | −0.0971698 | − | 0.168303i | ||||
\(489\) | 14.9002 | + | 8.94149i | 0.673812 | + | 0.404348i | ||||
\(490\) | 5.48321 | − | 4.35137i | 0.247706 | − | 0.196575i | ||||
\(491\) | −21.5186 | + | 12.4238i | −0.971123 | + | 0.560678i | −0.899578 | − | 0.436760i | \(-0.856126\pi\) |
−0.0715443 | + | 0.997437i | \(0.522793\pi\) | |||||||
\(492\) | −0.236270 | + | 13.9894i | −0.0106519 | + | 0.630693i | ||||
\(493\) | − | 9.14954i | − | 0.412075i | ||||||
\(494\) | −1.92754 | + | 1.11287i | −0.0867242 | + | 0.0500702i | ||||
\(495\) | −0.211848 | + | 6.26991i | −0.00952184 | + | 0.281812i | ||||
\(496\) | 5.30392i | 0.238153i | ||||||||
\(497\) | 2.11086 | + | 28.6251i | 0.0946848 | + | 1.28401i | ||||
\(498\) | −19.3599 | − | 0.326972i | −0.867537 | − | 0.0146520i | ||||
\(499\) | 36.8849 | 1.65119 | 0.825597 | − | 0.564261i | \(-0.190839\pi\) | ||||
0.825597 | + | 0.564261i | \(0.190839\pi\) | |||||||
\(500\) | 0.500000 | − | 0.866025i | 0.0223607 | − | 0.0387298i | ||||
\(501\) | 21.7178 | − | 12.0544i | 0.970278 | − | 0.538552i | ||||
\(502\) | −6.95095 | + | 4.01313i | −0.310236 | + | 0.179115i | ||||
\(503\) | 4.02007 | 0.179246 | 0.0896231 | − | 0.995976i | \(-0.471434\pi\) | ||||
0.0896231 | + | 0.995976i | \(0.471434\pi\) | |||||||
\(504\) | 0.316082 | + | 7.93096i | 0.0140794 | + | 0.353273i | ||||
\(505\) | 18.8631 | 0.839398 | ||||||||
\(506\) | 3.67205 | − | 2.12006i | 0.163243 | − | 0.0942482i | ||||
\(507\) | 18.9681 | + | 11.3826i | 0.842402 | + | 0.505517i | ||||
\(508\) | 0.224847 | − | 0.389447i | 0.00997598 | − | 0.0172789i | ||||
\(509\) | 24.2483 | 1.07479 | 0.537394 | − | 0.843331i | \(-0.319409\pi\) | ||||
0.537394 | + | 0.843331i | \(0.319409\pi\) | |||||||
\(510\) | −2.56854 | + | 4.28025i | −0.113737 | + | 0.189533i | ||||
\(511\) | 14.2715 | − | 9.70527i | 0.631335 | − | 0.429336i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −13.1490 | + | 20.3231i | −0.580542 | + | 0.897287i | ||||
\(514\) | −1.08460 | + | 0.626193i | −0.0478395 | + | 0.0276202i | ||||
\(515\) | 10.1578i | 0.447605i | ||||||||
\(516\) | 8.99264 | − | 4.99135i | 0.395879 | − | 0.219732i | ||||
\(517\) | 0.190288 | − | 0.109863i | 0.00836885 | − | 0.00483176i | ||||
\(518\) | 0.751711 | + | 10.1939i | 0.0330283 | + | 0.447892i | ||||
\(519\) | −24.4219 | + | 13.5553i | −1.07200 | + | 0.595013i | ||||
\(520\) | 0.238893 | + | 0.413776i | 0.0104762 | + | 0.0181453i | ||||
\(521\) | 20.9866 | + | 36.3499i | 0.919440 | + | 1.59252i | 0.800267 | + | 0.599643i | \(0.204691\pi\) |
0.119173 | + | 0.992874i | \(0.461976\pi\) | |||||||
\(522\) | −9.51869 | − | 0.321617i | −0.416622 | − | 0.0140768i | ||||
\(523\) | −2.05664 | − | 1.18740i | −0.0899304 | − | 0.0519213i | 0.454360 | − | 0.890818i | \(-0.349868\pi\) |
−0.544291 | + | 0.838897i | \(0.683201\pi\) | |||||||
\(524\) | −5.22140 | + | 9.04374i | −0.228098 | + | 0.395077i | ||||
\(525\) | −0.259788 | − | 4.57521i | −0.0113381 | − | 0.199678i | ||||
\(526\) | 3.61609 | + | 6.26326i | 0.157669 | + | 0.273091i | ||||
\(527\) | 15.2860i | 0.665867i | ||||||||
\(528\) | 1.75777 | + | 3.16688i | 0.0764972 | + | 0.137821i | ||||
\(529\) | 18.8887 | 0.821247 | ||||||||
\(530\) | −2.46623 | + | 4.27164i | −0.107126 | + | 0.185548i | ||||
\(531\) | −4.47408 | + | 7.17808i | −0.194158 | + | 0.311502i | ||||
\(532\) | 10.1917 | − | 6.93079i | 0.441865 | − | 0.300488i | ||||
\(533\) | 3.34246 | + | 1.92977i | 0.144778 | + | 0.0835877i | ||||
\(534\) | 22.8273 | + | 0.385533i | 0.987832 | + | 0.0166837i | ||||
\(535\) | −15.8802 | − | 9.16843i | −0.686560 | − | 0.396386i | ||||
\(536\) | 4.73867 | + | 2.73588i | 0.204680 | + | 0.118172i | ||||
\(537\) | −0.0812876 | − | 0.146451i | −0.00350782 | − | 0.00631984i | ||||
\(538\) | 9.80188 | + | 5.65912i | 0.422589 | + | 0.243982i | ||||
\(539\) | −2.14720 | − | 14.4798i | −0.0924865 | − | 0.623689i | ||||
\(540\) | 4.36266 | + | 2.82263i | 0.187739 | + | 0.121467i | ||||
\(541\) | −4.57807 | + | 7.92946i | −0.196827 | + | 0.340914i | −0.947498 | − | 0.319762i | \(-0.896397\pi\) |
0.750671 | + | 0.660676i | \(0.229730\pi\) | |||||||
\(542\) | 4.06694 | 0.174690 | ||||||||
\(543\) | −34.7985 | − | 0.587717i | −1.49334 | − | 0.0252213i | ||||
\(544\) | 2.88201i | 0.123565i | ||||||||
\(545\) | 7.08626 | + | 12.2738i | 0.303542 | + | 0.525750i | ||||
\(546\) | 1.95517 | + | 0.985493i | 0.0836736 | + | 0.0421752i | ||||
\(547\) | −23.0072 | + | 39.8496i | −0.983717 | + | 1.70385i | −0.336212 | + | 0.941786i | \(0.609146\pi\) |
−0.647505 | + | 0.762061i | \(0.724187\pi\) | |||||||
\(548\) | −15.0990 | − | 8.71743i | −0.644998 | − | 0.372390i | ||||
\(549\) | −11.3649 | + | 6.05933i | −0.485042 | + | 0.258606i | ||||
\(550\) | −1.04558 | − | 1.81100i | −0.0445837 | − | 0.0772213i | ||||
\(551\) | 7.39457 | + | 12.8078i | 0.315019 | + | 0.545629i | ||||
\(552\) | 0.0593058 | − | 3.51147i | 0.00252422 | − | 0.149458i | ||||
\(553\) | 23.2624 | + | 34.2072i | 0.989219 | + | 1.45464i | ||||
\(554\) | −3.19608 | + | 1.84526i | −0.135788 | + | 0.0783974i | ||||
\(555\) | 5.73774 | + | 3.44317i | 0.243554 | + | 0.146154i | ||||
\(556\) | − | 12.8365i | − | 0.544390i | ||||||
\(557\) | 16.7682 | − | 9.68111i | 0.710490 | − | 0.410202i | −0.100752 | − | 0.994912i | \(-0.532125\pi\) |
0.811242 | + | 0.584710i | \(0.198792\pi\) | |||||||
\(558\) | 15.9027 | + | 0.537320i | 0.673215 | + | 0.0227466i | ||||
\(559\) | − | 2.83712i | − | 0.119997i | ||||||
\(560\) | −1.48780 | − | 2.18780i | −0.0628710 | − | 0.0924513i | ||||
\(561\) | 5.06592 | + | 9.12698i | 0.213883 | + | 0.385341i | ||||
\(562\) | 24.6104 | 1.03813 | ||||||||
\(563\) | −10.8619 | + | 18.8134i | −0.457775 | + | 0.792889i | −0.998843 | − | 0.0480895i | \(-0.984687\pi\) |
0.541068 | + | 0.840979i | \(0.318020\pi\) | |||||||
\(564\) | 0.00307326 | − | 0.181966i | 0.000129408 | − | 0.00766217i | ||||
\(565\) | 6.91284 | − | 3.99113i | 0.290825 | − | 0.167908i | ||||
\(566\) | −1.80228 | −0.0757554 | ||||||||
\(567\) | 23.8113 | − | 0.144252i | 0.999982 | − | 0.00605803i | ||||
\(568\) | 10.8486 | 0.455198 | ||||||||
\(569\) | 18.3585 | − | 10.5993i | 0.769629 | − | 0.444346i | −0.0631131 | − | 0.998006i | \(-0.520103\pi\) |
0.832742 | + | 0.553661i | \(0.186770\pi\) | |||||||
\(570\) | 0.136253 | − | 8.06747i | 0.00570700 | − | 0.337909i | ||||
\(571\) | 5.52866 | − | 9.57592i | 0.231367 | − | 0.400740i | −0.726843 | − | 0.686803i | \(-0.759013\pi\) |
0.958211 | + | 0.286063i | \(0.0923468\pi\) | |||||||
\(572\) | 0.999130 | 0.0417757 | ||||||||
\(573\) | 2.96981 | + | 5.35053i | 0.124066 | + | 0.223522i | ||||
\(574\) | −19.2447 | − | 9.29602i | −0.803258 | − | 0.388008i | ||||
\(575\) | 2.02764i | 0.0845583i | ||||||||
\(576\) | 2.99829 | + | 0.101306i | 0.124929 | + | 0.00422109i | ||||
\(577\) | −27.5702 | + | 15.9177i | −1.14776 | + | 0.662662i | −0.948341 | − | 0.317251i | \(-0.897240\pi\) |
−0.199423 | + | 0.979914i | \(0.563907\pi\) | |||||||
\(578\) | − | 8.69402i | − | 0.361624i | ||||||
\(579\) | 37.5959 | + | 22.5610i | 1.56243 | + | 0.937602i | ||||
\(580\) | 2.74938 | − | 1.58735i | 0.114162 | − | 0.0659113i | ||||
\(581\) | 12.8647 | − | 26.6326i | 0.533717 | − | 1.10491i | ||||
\(582\) | 0.269584 | − | 15.9619i | 0.0111746 | − | 0.661644i | ||||
\(583\) | 5.15729 | + | 8.93269i | 0.213593 | + | 0.369954i | ||||
\(584\) | −3.26162 | − | 5.64929i | −0.134967 | − | 0.233769i | ||||
\(585\) | 1.26482 | − | 0.674354i | 0.0522939 | − | 0.0278811i | ||||
\(586\) | −20.5959 | − | 11.8910i | −0.850808 | − | 0.491214i | ||||
\(587\) | −14.7632 | + | 25.5706i | −0.609343 | + | 1.05541i | 0.382006 | + | 0.924160i | \(0.375233\pi\) |
−0.991349 | + | 0.131253i | \(0.958100\pi\) | |||||||
\(588\) | −11.1988 | − | 4.64618i | −0.461830 | − | 0.191605i | ||||
\(589\) | −12.3540 | − | 21.3977i | −0.509036 | − | 0.881676i | ||||
\(590\) | − | 2.81942i | − | 0.116074i | ||||||
\(591\) | −15.6051 | − | 0.263557i | −0.641907 | − | 0.0108413i | ||||
\(592\) | 3.86338 | 0.158784 | ||||||||
\(593\) | −10.9772 | + | 19.0131i | −0.450780 | + | 0.780773i | −0.998435 | − | 0.0559309i | \(-0.982187\pi\) |
0.547655 | + | 0.836704i | \(0.315521\pi\) | |||||||
\(594\) | 9.67329 | − | 4.94949i | 0.396900 | − | 0.203080i | ||||
\(595\) | −4.28785 | − | 6.30525i | −0.175785 | − | 0.258490i | ||||
\(596\) | 1.03136 | + | 0.595458i | 0.0422463 | + | 0.0243909i | ||||
\(597\) | 12.0252 | + | 21.6650i | 0.492157 | + | 0.886691i | ||||
\(598\) | −0.838987 | − | 0.484389i | −0.0343087 | − | 0.0198082i | ||||
\(599\) | 23.0407 | + | 13.3026i | 0.941418 | + | 0.543528i | 0.890405 | − | 0.455170i | \(-0.150421\pi\) |
0.0510136 | + | 0.998698i | \(0.483755\pi\) | |||||||
\(600\) | −1.73180 | − | 0.0292487i | −0.0707006 | − | 0.00119407i | ||||
\(601\) | −33.3026 | − | 19.2273i | −1.35844 | − | 0.784296i | −0.369027 | − | 0.929419i | \(-0.620309\pi\) |
−0.989414 | + | 0.145122i | \(0.953642\pi\) | |||||||
\(602\) | 1.15539 | + | 15.6680i | 0.0470900 | + | 0.638582i | ||||
\(603\) | 8.68300 | − | 13.9308i | 0.353599 | − | 0.567304i | ||||
\(604\) | 0.791747 | − | 1.37135i | 0.0322157 | − | 0.0557993i | ||||
\(605\) | 6.62704 | 0.269427 | ||||||||
\(606\) | −15.8558 | − | 28.5665i | −0.644098 | − | 1.16043i | ||||
\(607\) | 23.5753i | 0.956893i | 0.878117 | + | 0.478446i | \(0.158800\pi\) | ||||
−0.878117 | + | 0.478446i | \(0.841200\pi\) | |||||||
\(608\) | −2.32921 | − | 4.03431i | −0.0944620 | − | 0.163613i | ||||
\(609\) | 6.54822 | − | 12.9913i | 0.265347 | − | 0.526436i | ||||
\(610\) | 2.14655 | − | 3.71793i | 0.0869113 | − | 0.150535i | ||||
\(611\) | −0.0434768 | − | 0.0251013i | −0.00175888 | − | 0.00101549i | ||||
\(612\) | 8.64110 | + | 0.291965i | 0.349296 | + | 0.0118020i | ||||
\(613\) | −7.77138 | − | 13.4604i | −0.313883 | − | 0.543661i | 0.665316 | − | 0.746561i | \(-0.268297\pi\) |
−0.979199 | + | 0.202900i | \(0.934963\pi\) | |||||||
\(614\) | 2.99936 | + | 5.19505i | 0.121044 | + | 0.209655i | ||||
\(615\) | −12.2334 | + | 6.79011i | −0.493296 | + | 0.273804i | ||||
\(616\) | −5.51772 | + | 0.406885i | −0.222315 | + | 0.0163939i | ||||
\(617\) | −11.7195 | + | 6.76627i | −0.471810 | + | 0.272400i | −0.716997 | − | 0.697076i | \(-0.754484\pi\) |
0.245187 | + | 0.969476i | \(0.421151\pi\) | |||||||
\(618\) | 15.3830 | − | 8.53833i | 0.618796 | − | 0.343462i | ||||
\(619\) | − | 23.6194i | − | 0.949345i | −0.880163 | − | 0.474672i | \(-0.842567\pi\) | ||
0.880163 | − | 0.474672i | \(-0.157433\pi\) | |||||||
\(620\) | −4.59333 | + | 2.65196i | −0.184473 | + | 0.106505i | ||||
\(621\) | −10.5224 | − | 0.533549i | −0.422249 | − | 0.0214106i | ||||
\(622\) | 23.7283i | 0.951416i | ||||||||
\(623\) | −15.1688 | + | 31.4025i | −0.607724 | + | 1.25811i | ||||
\(624\) | 0.425819 | − | 0.709591i | 0.0170464 | − | 0.0284064i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 1.48278 | − | 2.56825i | 0.0592637 | − | 0.102648i | ||||
\(627\) | −14.4677 | − | 8.68195i | −0.577786 | − | 0.346724i | ||||
\(628\) | −14.5680 | + | 8.41085i | −0.581328 | + | 0.335630i | ||||
\(629\) | 11.1343 | 0.443953 | ||||||||
\(630\) | −6.71037 | + | 4.23921i | −0.267348 | + | 0.168894i | ||||
\(631\) | 29.0626 | 1.15696 | 0.578482 | − | 0.815695i | \(-0.303645\pi\) | ||||
0.578482 | + | 0.815695i | \(0.303645\pi\) | |||||||
\(632\) | 13.5407 | − | 7.81773i | 0.538620 | − | 0.310973i | ||||
\(633\) | −1.34113 | + | 0.744395i | −0.0533053 | + | 0.0295871i | ||||
\(634\) | −6.47508 | + | 11.2152i | −0.257158 | + | 0.445411i | ||||
\(635\) | 0.449694 | 0.0178456 | ||||||||
\(636\) | 8.54206 | + | 0.144268i | 0.338715 | + | 0.00572061i | ||||
\(637\) | −2.61980 | + | 2.07903i | −0.103800 | + | 0.0823742i | ||||
\(638\) | − | 6.63883i | − | 0.262834i | ||||||
\(639\) | 1.09903 | − | 32.5273i | 0.0434770 | − | 1.28676i | ||||
\(640\) | −0.866025 | + | 0.500000i | −0.0342327 | + | 0.0197642i | ||||
\(641\) | 5.47596i | 0.216288i | 0.994135 | + | 0.108144i | \(0.0344907\pi\) | ||||
−0.994135 | + | 0.108144i | \(0.965509\pi\) | |||||||
\(642\) | −0.536330 | + | 31.7558i | −0.0211672 | + | 1.25330i | ||||
\(643\) | 22.6584 | − | 13.0818i | 0.893560 | − | 0.515897i | 0.0184548 | − | 0.999830i | \(-0.494125\pi\) |
0.875105 | + | 0.483933i | \(0.160792\pi\) | |||||||
\(644\) | 4.83058 | + | 2.33338i | 0.190352 | + | 0.0919481i | ||||
\(645\) | 8.81896 | + | 5.29218i | 0.347246 | + | 0.208379i | ||||
\(646\) | −6.71281 | − | 11.6269i | −0.264112 | − | 0.457455i | ||||
\(647\) | 7.13123 | + | 12.3517i | 0.280358 | + | 0.485594i | 0.971473 | − | 0.237151i | \(-0.0762136\pi\) |
−0.691115 | + | 0.722745i | \(0.742880\pi\) | |||||||
\(648\) | 0.607490 | − | 8.97947i | 0.0238645 | − | 0.352747i | ||||
\(649\) | −5.10597 | − | 2.94793i | −0.200427 | − | 0.115717i | ||||
\(650\) | −0.238893 | + | 0.413776i | −0.00937017 | + | 0.0162296i | ||||
\(651\) | −10.9400 | + | 21.7044i | −0.428772 | + | 0.850662i | ||||
\(652\) | 5.01637 | + | 8.68860i | 0.196456 | + | 0.340272i | ||||
\(653\) | 14.4155i | 0.564123i | 0.959396 | + | 0.282062i | \(0.0910183\pi\) | ||||
−0.959396 | + | 0.282062i | \(0.908982\pi\) | |||||||
\(654\) | 12.6310 | − | 21.0485i | 0.493912 | − | 0.823061i | ||||
\(655\) | −10.4428 | −0.408034 | ||||||||
\(656\) | −4.03898 | + | 6.99572i | −0.157696 | + | 0.273137i | ||||
\(657\) | −17.2686 | + | 9.20697i | −0.673713 | + | 0.359198i | ||||
\(658\) | 0.250324 | + | 0.120917i | 0.00975863 | + | 0.00471384i | ||||
\(659\) | −23.0675 | − | 13.3180i | −0.898581 | − | 0.518796i | −0.0218413 | − | 0.999761i | \(-0.506953\pi\) |
−0.876739 | + | 0.480966i | \(0.840286\pi\) | |||||||
\(660\) | −1.86371 | + | 3.10572i | −0.0725449 | + | 0.120890i | ||||
\(661\) | 10.9321 | + | 6.31167i | 0.425211 | + | 0.245496i | 0.697304 | − | 0.716775i | \(-0.254383\pi\) |
−0.272093 | + | 0.962271i | \(0.587716\pi\) | |||||||
\(662\) | −29.4483 | − | 17.0020i | −1.14454 | − | 0.660801i | ||||
\(663\) | 1.22721 | − | 2.04505i | 0.0476611 | − | 0.0794231i | ||||
\(664\) | −9.68132 | − | 5.58951i | −0.375708 | − | 0.216915i | ||||
\(665\) | 11.0981 | + | 5.36086i | 0.430365 | + | 0.207885i | ||||
\(666\) | 0.391384 | − | 11.5835i | 0.0151658 | − | 0.448852i | ||||
\(667\) | −3.21858 | + | 5.57474i | −0.124624 | + | 0.215855i | ||||
\(668\) | 14.3407 | 0.554860 | ||||||||
\(669\) | 0.0620069 | − | 0.103329i | 0.00239733 | − | 0.00399494i | ||||
\(670\) | 5.47175i | 0.211392i | ||||||||
\(671\) | −4.48879 | − | 7.77481i | −0.173288 | − | 0.300143i | ||||
\(672\) | −2.06262 | + | 4.09214i | −0.0795673 | + | 0.157858i | ||||
\(673\) | −1.51712 | + | 2.62772i | −0.0584805 | + | 0.101291i | −0.893784 | − | 0.448499i | \(-0.851959\pi\) |
0.835303 | + | 0.549790i | \(0.185292\pi\) | |||||||
\(674\) | 19.5993 | + | 11.3157i | 0.754936 | + | 0.435863i | ||||
\(675\) | −0.263138 | + | 5.18949i | −0.0101282 | + | 0.199743i | ||||
\(676\) | 6.38586 | + | 11.0606i | 0.245610 | + | 0.425409i | ||||
\(677\) | −5.58739 | − | 9.67764i | −0.214741 | − | 0.371942i | 0.738452 | − | 0.674306i | \(-0.235557\pi\) |
−0.953192 | + | 0.302365i | \(0.902224\pi\) | |||||||
\(678\) | −11.8549 | − | 7.11405i | −0.455287 | − | 0.273213i | ||||
\(679\) | 21.9582 | + | 10.6068i | 0.842677 | + | 0.407050i | ||||
\(680\) | −2.49589 | + | 1.44100i | −0.0957131 | + | 0.0552600i | ||||
\(681\) | −0.537593 | + | 31.8307i | −0.0206006 | + | 1.21975i | ||||
\(682\) | 11.0914i | 0.424710i | ||||||||
\(683\) | 23.9631 | − | 13.8351i | 0.916924 | − | 0.529387i | 0.0342719 | − | 0.999413i | \(-0.489089\pi\) |
0.882653 | + | 0.470026i | \(0.155755\pi\) | |||||||
\(684\) | −12.3320 | + | 6.57495i | −0.471526 | + | 0.251399i | ||||
\(685\) | − | 17.4349i | − | 0.666151i | ||||||
\(686\) | 13.6213 | − | 12.5484i | 0.520062 | − | 0.479099i | ||||
\(687\) | 27.8296 | + | 0.470018i | 1.06176 | + | 0.0179323i | ||||
\(688\) | 5.93804 | 0.226386 | ||||||||
\(689\) | 1.17833 | − | 2.04093i | 0.0448909 | − | 0.0777534i | ||||
\(690\) | 3.07068 | − | 1.70437i | 0.116899 | − | 0.0648844i | ||||
\(691\) | −11.7384 | + | 6.77716i | −0.446549 | + | 0.257815i | −0.706372 | − | 0.707841i | \(-0.749669\pi\) |
0.259823 | + | 0.965656i | \(0.416336\pi\) | |||||||
\(692\) | −16.1263 | −0.613031 | ||||||||
\(693\) | 0.660980 | + | 16.5849i | 0.0251085 | + | 0.630009i | ||||
\(694\) | 12.7779 | 0.485043 | ||||||||
\(695\) | 11.1168 | − | 6.41827i | 0.421683 | − | 0.243459i | ||||
\(696\) | −4.71496 | − | 2.82940i | −0.178720 | − | 0.107248i | ||||
\(697\) | −11.6404 | + | 20.1617i | −0.440911 | + | 0.763680i | ||||
\(698\) | −4.56471 | −0.172777 | ||||||||
\(699\) | −23.1217 | + | 38.5303i | −0.874542 | + | 1.45735i | ||||
\(700\) | 1.15079 | − | 2.38237i | 0.0434957 | − | 0.0900451i | ||||
\(701\) | − | 45.4060i | − | 1.71496i | −0.514516 | − | 0.857481i | \(-0.672028\pi\) | ||
0.514516 | − | 0.857481i | \(-0.327972\pi\) | |||||||
\(702\) | −2.08442 | − | 1.34861i | −0.0786714 | − | 0.0509002i | ||||
\(703\) | −15.5861 | + | 8.99862i | −0.587840 | + | 0.339389i | ||||
\(704\) | 2.09116i | 0.0788137i | ||||||||
\(705\) | 0.159124 | − | 0.0883217i | 0.00599296 | − | 0.00332639i | ||||
\(706\) | 13.7716 | − | 7.95106i | 0.518302 | − | 0.299242i | ||||
\(707\) | 49.7720 | − | 3.67026i | 1.87187 | − | 0.138034i | ||||
\(708\) | −4.26976 | + | 2.36993i | −0.160467 | + | 0.0890673i | ||||
\(709\) | 10.2957 | + | 17.8327i | 0.386663 | + | 0.669719i | 0.991998 | − | 0.126251i | \(-0.0402944\pi\) |
−0.605336 | + | 0.795970i | \(0.706961\pi\) | |||||||
\(710\) | 5.42432 | + | 9.39519i | 0.203571 | + | 0.352595i | ||||
\(711\) | −22.0681 | − | 41.3909i | −0.827617 | − | 1.55228i | ||||
\(712\) | 11.4153 | + | 6.59060i | 0.427805 | + | 0.246993i | ||||
\(713\) | 5.37722 | − | 9.31361i | 0.201378 | − | 0.348798i | ||||
\(714\) | −5.94449 | + | 11.7936i | −0.222467 | + | 0.441364i | ||||
\(715\) | 0.499565 | + | 0.865272i | 0.0186827 | + | 0.0323594i | ||||
\(716\) | − | 0.0967051i | − | 0.00361404i | ||||||
\(717\) | 8.21566 | + | 14.8017i | 0.306819 | + | 0.552779i | ||||
\(718\) | −19.6573 | −0.733605 | ||||||||
\(719\) | −19.2776 | + | 33.3899i | −0.718935 | + | 1.24523i | 0.242488 | + | 0.970155i | \(0.422037\pi\) |
−0.961422 | + | 0.275077i | \(0.911297\pi\) | |||||||
\(720\) | 1.41141 | + | 2.64725i | 0.0526002 | + | 0.0986571i | ||||
\(721\) | 1.97643 | + | 26.8021i | 0.0736061 | + | 0.998164i | ||||
\(722\) | 2.33904 | + | 1.35045i | 0.0870501 | + | 0.0502584i | ||||
\(723\) | −44.3521 | − | 0.749070i | −1.64947 | − | 0.0278582i | ||||
\(724\) | −17.4017 | − | 10.0469i | −0.646729 | − | 0.373389i | ||||
\(725\) | 2.74938 | + | 1.58735i | 0.102109 | + | 0.0589529i | ||||
\(726\) | −5.57050 | − | 10.0361i | −0.206741 | − | 0.372473i | ||||
\(727\) | 21.6549 | + | 12.5025i | 0.803137 | + | 0.463692i | 0.844567 | − | 0.535450i | \(-0.179858\pi\) |
−0.0414296 | + | 0.999141i | \(0.513191\pi\) | |||||||
\(728\) | 0.710851 | + | 1.04530i | 0.0263459 | + | 0.0387414i | ||||
\(729\) | −26.8615 | − | 2.73111i | −0.994871 | − | 0.101152i | ||||
\(730\) | 3.26162 | − | 5.64929i | 0.120718 | − | 0.209090i | ||||
\(731\) | 17.1135 | 0.632966 | ||||||||
\(732\) | −7.43481 | − | 0.125568i | −0.274798 | − | 0.00464112i | ||||
\(733\) | − | 49.3523i | − | 1.82287i | −0.411444 | − | 0.911435i | \(-0.634976\pi\) | ||
0.411444 | − | 0.911435i | \(-0.365024\pi\) | |||||||
\(734\) | −10.9999 | − | 19.0524i | −0.406014 | − | 0.703237i | ||||
\(735\) | −1.57569 | − | 12.0215i | −0.0581201 | − | 0.443421i | ||||
\(736\) | 1.01382 | − | 1.75599i | 0.0373699 | − | 0.0647265i | ||||
\(737\) | 9.90934 | + | 5.72116i | 0.365015 | + | 0.210742i | ||||
\(738\) | 20.5660 | + | 12.8187i | 0.757046 | + | 0.471864i | ||||
\(739\) | 10.3267 | + | 17.8864i | 0.379874 | + | 0.657961i | 0.991044 | − | 0.133539i | \(-0.0426340\pi\) |
−0.611170 | + | 0.791500i | \(0.709301\pi\) | |||||||
\(740\) | 1.93169 | + | 3.34578i | 0.0710103 | + | 0.122993i | ||||
\(741\) | −0.0650998 | + | 3.85453i | −0.00239150 | + | 0.141600i | ||||
\(742\) | −5.67622 | + | 11.7510i | −0.208381 | + | 0.431391i | ||||
\(743\) | 7.62562 | − | 4.40265i | 0.279757 | − | 0.161518i | −0.353556 | − | 0.935413i | \(-0.615028\pi\) |
0.633313 | + | 0.773895i | \(0.281694\pi\) | |||||||
\(744\) | 7.87718 | + | 4.72703i | 0.288792 | + | 0.173301i | ||||
\(745\) | 1.19092i | 0.0436318i | ||||||||
\(746\) | −20.2060 | + | 11.6660i | −0.739796 | + | 0.427121i | ||||
\(747\) | −17.7398 | + | 28.4611i | −0.649064 | + | 1.04134i | ||||
\(748\) | 6.02675i | 0.220360i | ||||||||
\(749\) | −43.6852 | − | 21.1018i | −1.59622 | − | 0.771044i | ||||
\(750\) | −0.840572 | − | 1.51441i | −0.0306933 | − | 0.0552985i | ||||
\(751\) | 42.7052 | 1.55833 | 0.779167 | − | 0.626816i | \(-0.215642\pi\) | ||||
0.779167 | + | 0.626816i | \(0.215642\pi\) | |||||||
\(752\) | 0.0525367 | − | 0.0909962i | 0.00191581 | − | 0.00331829i | ||||
\(753\) | −0.234758 | + | 13.8999i | −0.00855505 | + | 0.506541i | ||||
\(754\) | −1.31362 | + | 0.758417i | −0.0478391 | + | 0.0276199i | ||||
\(755\) | 1.58349 | 0.0576292 | ||||||||
\(756\) | 12.0605 | + | 6.59889i | 0.438635 | + | 0.239999i | ||||
\(757\) | −23.4364 | −0.851811 | −0.425905 | − | 0.904768i | \(-0.640044\pi\) | ||||
−0.425905 | + | 0.904768i | \(0.640044\pi\) | |||||||
\(758\) | −17.5941 | + | 10.1580i | −0.639047 | + | 0.368954i | ||||
\(759\) | 0.124018 | − | 7.34306i | 0.00450157 | − | 0.266536i | ||||
\(760\) | 2.32921 | − | 4.03431i | 0.0844894 | − | 0.146340i | ||||
\(761\) | −7.38846 | −0.267832 | −0.133916 | − | 0.990993i | \(-0.542755\pi\) | ||||
−0.133916 | + | 0.990993i | \(0.542755\pi\) | |||||||
\(762\) | −0.378000 | − | 0.681022i | −0.0136935 | − | 0.0246708i | ||||
\(763\) | 21.0859 | + | 31.0066i | 0.763360 | + | 1.12251i | ||||
\(764\) | 3.53308i | 0.127822i | ||||||||
\(765\) | 4.06770 | + | 7.62939i | 0.147068 | + | 0.275841i | ||||
\(766\) | −3.31092 | + | 1.91156i | −0.119628 | + | 0.0690675i | ||||
\(767\) | 1.34708i | 0.0486403i | ||||||||
\(768\) | 1.48516 | + | 0.891232i | 0.0535912 | + | 0.0321596i | ||||
\(769\) | −41.7890 | + | 24.1269i | −1.50695 | + | 0.870038i | −0.506982 | + | 0.861957i | \(0.669239\pi\) |
−0.999967 | + | 0.00808106i | \(0.997428\pi\) | |||||||
\(770\) | −3.11123 | − | 4.57504i | −0.112121 | − | 0.164873i | ||||
\(771\) | −0.0366307 | + | 2.16889i | −0.00131922 | + | 0.0781105i | ||||
\(772\) | 12.6572 | + | 21.9229i | 0.455542 | + | 0.789022i | ||||
\(773\) | −12.6336 | − | 21.8821i | −0.454401 | − | 0.787045i | 0.544253 | − | 0.838921i | \(-0.316813\pi\) |
−0.998654 | + | 0.0518761i | \(0.983480\pi\) | |||||||
\(774\) | 0.601560 | − | 17.8040i | 0.0216226 | − | 0.639951i | ||||
\(775\) | −4.59333 | − | 2.65196i | −0.164997 | − | 0.0952613i | ||||
\(776\) | 4.60847 | − | 7.98211i | 0.165435 | − | 0.286541i | ||||
\(777\) | 15.8095 | + | 7.96868i | 0.567162 | + | 0.285875i | ||||
\(778\) | −9.67132 | − | 16.7512i | −0.346734 | − | 0.600561i | ||||
\(779\) | − | 37.6306i | − | 1.34825i | ||||||
\(780\) | 0.827433 | + | 0.0139747i | 0.0296269 | + | 0.000500373i | ||||
\(781\) | 22.6863 | 0.811778 | ||||||||
\(782\) | 2.92184 | − | 5.06077i | 0.104485 | − | 0.180973i | ||||
\(783\) | −8.96102 | + | 13.8502i | −0.320241 | + | 0.494965i | ||||
\(784\) | −4.35137 | − | 5.48321i | −0.155406 | − | 0.195829i | ||||
\(785\) | −14.5680 | − | 8.41085i | −0.519955 | − | 0.300196i | ||||
\(786\) | 8.77793 | + | 15.8147i | 0.313098 | + | 0.564092i | ||||
\(787\) | 46.9696 | + | 27.1179i | 1.67429 | + | 0.966649i | 0.965195 | + | 0.261532i | \(0.0842278\pi\) |
0.709091 | + | 0.705117i | \(0.249106\pi\) | |||||||
\(788\) | −7.80365 | − | 4.50544i | −0.277994 | − | 0.160500i | ||||
\(789\) | 12.5247 | + | 0.211532i | 0.445892 | + | 0.00753075i | ||||
\(790\) | 13.5407 | + | 7.81773i | 0.481757 | + | 0.278142i | ||||
\(791\) | 17.4636 | − | 11.8760i | 0.620933 | − | 0.422262i | ||||
\(792\) | 6.26991 | + | 0.211848i | 0.222792 | + | 0.00752767i | ||||
\(793\) | −1.02559 | + | 1.77638i | −0.0364199 | + | 0.0630811i | ||||
\(794\) | −30.2959 | −1.07516 | ||||||||
\(795\) | 4.14609 | + | 7.46978i | 0.147047 | + | 0.264926i | ||||
\(796\) | 14.3059i | 0.507060i | ||||||||
\(797\) | 7.63066 | + | 13.2167i | 0.270292 | + | 0.468159i | 0.968936 | − | 0.247310i | \(-0.0795465\pi\) |
−0.698645 | + | 0.715469i | \(0.746213\pi\) | |||||||
\(798\) | −1.21020 | − | 21.3132i | −0.0428406 | − | 0.754480i | ||||
\(799\) | 0.151411 | − | 0.262252i | 0.00535654 | − | 0.00927780i | ||||
\(800\) | −0.866025 | − | 0.500000i | −0.0306186 | − | 0.0176777i | ||||
\(801\) | 20.9170 | − | 33.5586i | 0.739064 | − | 1.18573i | ||||
\(802\) | 16.5340 | + | 28.6376i | 0.583834 | + | 1.01123i | ||||
\(803\) | −6.82058 | − | 11.8136i | −0.240693 | − | 0.416892i | ||||
\(804\) | 8.28648 | − | 4.59940i | 0.292241 | − | 0.162208i | ||||
\(805\) | 0.394524 | + | 5.35010i | 0.0139052 | + | 0.188566i | ||||
\(806\) | 2.19463 | − | 1.26707i | 0.0773027 | − | 0.0446307i | ||||
\(807\) | 17.1405 | − | 9.51379i | 0.603373 | − | 0.334901i | ||||
\(808\) | − | 18.8631i | − | 0.663602i | ||||||
\(809\) | 12.9900 | − | 7.49978i | 0.456704 | − | 0.263678i | −0.253953 | − | 0.967216i | \(-0.581731\pi\) |
0.710657 | + | 0.703538i | \(0.248398\pi\) | |||||||
\(810\) | 8.08020 | − | 3.96364i | 0.283909 | − | 0.139268i | ||||
\(811\) | 15.3625i | 0.539451i | 0.962937 | + | 0.269726i | \(0.0869330\pi\) | ||||
−0.962937 | + | 0.269726i | \(0.913067\pi\) | |||||||
\(812\) | 6.94562 | − | 4.72333i | 0.243743 | − | 0.165756i | ||||
\(813\) | 3.62459 | − | 6.04007i | 0.127120 | − | 0.211834i | ||||
\(814\) | 8.07895 | 0.283167 | ||||||||
\(815\) | −5.01637 | + | 8.68860i | −0.175716 | + | 0.304348i | ||||
\(816\) | 4.28025 | + | 2.56854i | 0.149839 | + | 0.0899169i | ||||
\(817\) | −23.9559 | + | 13.8310i | −0.838112 | + | 0.483884i | ||||
\(818\) | −17.0227 | −0.595183 | ||||||||
\(819\) | 3.20613 | − | 2.02544i | 0.112031 | − | 0.0707747i | ||||
\(820\) | −8.07796 | −0.282095 | ||||||||
\(821\) | 24.2512 | − | 14.0014i | 0.846372 | − | 0.488653i | −0.0130533 | − | 0.999915i | \(-0.504155\pi\) |
0.859425 | + | 0.511262i | \(0.170822\pi\) | |||||||
\(822\) | −26.4035 | + | 14.6552i | −0.920929 | + | 0.511160i | ||||
\(823\) | −1.01689 | + | 1.76131i | −0.0354466 | + | 0.0613954i | −0.883204 | − | 0.468988i | \(-0.844619\pi\) |
0.847758 | + | 0.530383i | \(0.177952\pi\) | |||||||
\(824\) | 10.1578 | 0.353863 | ||||||||
\(825\) | −3.62148 | − | 0.0611638i | −0.126084 | − | 0.00212945i | ||||
\(826\) | −0.548584 | − | 7.43929i | −0.0190877 | − | 0.258846i | ||||
\(827\) | − | 25.2422i | − | 0.877758i | −0.898546 | − | 0.438879i | \(-0.855376\pi\) | ||
0.898546 | − | 0.438879i | \(-0.144624\pi\) | |||||||
\(828\) | −5.16225 | − | 3.21761i | −0.179400 | − | 0.111820i | ||||
\(829\) | −35.8687 | + | 20.7088i | −1.24577 | + | 0.719246i | −0.970263 | − | 0.242053i | \(-0.922179\pi\) |
−0.275508 | + | 0.961299i | \(0.588846\pi\) | |||||||
\(830\) | − | 11.1790i | − | 0.388030i | ||||||
\(831\) | −0.107943 | + | 6.39124i | −0.00374449 | + | 0.221710i | ||||
\(832\) | 0.413776 | − | 0.238893i | 0.0143451 | − | 0.00828214i | ||||
\(833\) | −12.5407 | − | 15.8026i | −0.434510 | − | 0.547529i | ||||
\(834\) | −19.0643 | − | 11.4403i | −0.660144 | − | 0.396146i | ||||
\(835\) | 7.17037 | + | 12.4194i | 0.248141 | + | 0.429792i | ||||
\(836\) | −4.87076 | − | 8.43640i | −0.168459 | − | 0.291779i | ||||
\(837\) | 14.9710 | − | 23.1392i | 0.517473 | − | 0.799808i | ||||
\(838\) | −6.74162 | − | 3.89228i | −0.232885 | − | 0.134456i | ||||
\(839\) | 7.84013 | − | 13.5795i | 0.270671 | − | 0.468817i | −0.698363 | − | 0.715744i | \(-0.746088\pi\) |
0.969034 | + | 0.246928i | \(0.0794210\pi\) | |||||||
\(840\) | −4.57521 | + | 0.259788i | −0.157860 | + | 0.00896353i | ||||
\(841\) | −9.46061 | − | 16.3863i | −0.326228 | − | 0.565043i | ||||
\(842\) | − | 30.9337i | − | 1.06605i | ||||||
\(843\) | 21.9336 | − | 36.5505i | 0.755434 | − | 1.25887i | ||||
\(844\) | −0.885582 | −0.0304830 | ||||||||
\(845\) | −6.38586 | + | 11.0606i | −0.219680 | + | 0.380497i | ||||
\(846\) | −0.267510 | − | 0.166739i | −0.00919720 | − | 0.00573259i | ||||
\(847\) | 17.4860 | − | 1.28945i | 0.600827 | − | 0.0443059i | ||||
\(848\) | 4.27164 | + | 2.46623i | 0.146689 | + | 0.0846908i | ||||
\(849\) | −1.60625 | + | 2.67667i | −0.0551263 | + | 0.0918632i | ||||
\(850\) | −2.49589 | − | 1.44100i | −0.0856084 | − | 0.0494261i | ||||
\(851\) | −6.78404 | − | 3.91677i | −0.232554 | − | 0.134265i | ||||
\(852\) | 9.66865 | − | 16.1120i | 0.331242 | − | 0.551987i | ||||
\(853\) | 13.0788 | + | 7.55104i | 0.447809 | + | 0.258543i | 0.706904 | − | 0.707309i | \(-0.250091\pi\) |
−0.259095 | + | 0.965852i | \(0.583424\pi\) | |||||||
\(854\) | 4.94045 | − | 10.2278i | 0.169059 | − | 0.349987i | ||||
\(855\) | −11.8601 | − | 7.39235i | −0.405606 | − | 0.252813i | ||||
\(856\) | −9.16843 | + | 15.8802i | −0.313371 | + | 0.542774i | ||||
\(857\) | 2.72299 | 0.0930155 | 0.0465077 | − | 0.998918i | \(-0.485191\pi\) | ||||
0.0465077 | + | 0.998918i | \(0.485191\pi\) | |||||||
\(858\) | 0.890457 | − | 1.48387i | 0.0303997 | − | 0.0506585i | ||||
\(859\) | − | 28.1990i | − | 0.962136i | −0.876683 | − | 0.481068i | \(-0.840249\pi\) | ||
0.876683 | − | 0.481068i | \(-0.159751\pi\) | |||||||
\(860\) | 2.96902 | + | 5.14250i | 0.101243 | + | 0.175358i | ||||
\(861\) | −30.9576 | + | 20.2966i | −1.05503 | + | 0.691705i | ||||
\(862\) | 9.81647 | − | 17.0026i | 0.334350 | − | 0.579112i | ||||
\(863\) | 10.0634 | + | 5.81009i | 0.342561 | + | 0.197778i | 0.661404 | − | 0.750030i | \(-0.269961\pi\) |
−0.318843 | + | 0.947808i | \(0.603294\pi\) | |||||||
\(864\) | 2.82263 | − | 4.36266i | 0.0960277 | − | 0.148421i | ||||
\(865\) | −8.06316 | − | 13.9658i | −0.274156 | − | 0.474851i | ||||
\(866\) | −17.9781 | − | 31.1390i | −0.610920 | − | 1.05815i | ||||
\(867\) | −12.9120 | − | 7.74839i | −0.438515 | − | 0.263149i | ||||
\(868\) | −11.6039 | + | 7.89117i | −0.393862 | + | 0.267844i | ||||
\(869\) | 28.3158 | − | 16.3481i | 0.960548 | − | 0.554573i | ||||
\(870\) | 0.0928562 | − | 5.49797i | 0.00314812 | − | 0.186399i | ||||
\(871\) | − | 2.61433i | − | 0.0885832i | ||||||
\(872\) | 12.2738 | − | 7.08626i | 0.415642 | − | 0.239971i | ||||
\(873\) | −23.4658 | − | 14.6262i | −0.794197 | − | 0.495021i | ||||
\(874\) | 9.44559i | 0.319502i | ||||||||
\(875\) | 2.63859 | − | 0.194573i | 0.0892005 | − | 0.00657778i | ||||
\(876\) | −11.2970 | − | 0.190796i | −0.381689 | − | 0.00644641i | ||||
\(877\) | −26.9876 | −0.911307 | −0.455654 | − | 0.890157i | \(-0.650594\pi\) | ||||
−0.455654 | + | 0.890157i | \(0.650594\pi\) | |||||||
\(878\) | 12.1713 | − | 21.0814i | 0.410762 | − | 0.711461i | ||||
\(879\) | −36.0158 | + | 19.9905i | −1.21478 | + | 0.674264i | ||||
\(880\) | −1.81100 | + | 1.04558i | −0.0610488 | + | 0.0352465i | ||||
\(881\) | −3.38847 | −0.114160 | −0.0570802 | − | 0.998370i | \(-0.518179\pi\) | ||||
−0.0570802 | + | 0.998370i | \(0.518179\pi\) | |||||||
\(882\) | −16.8811 | + | 12.4912i | −0.568415 | + | 0.420600i | ||||
\(883\) | −28.0287 | −0.943241 | −0.471621 | − | 0.881802i | \(-0.656331\pi\) | ||||
−0.471621 | + | 0.881802i | \(0.656331\pi\) | |||||||
\(884\) | 1.19251 | − | 0.688493i | 0.0401083 | − | 0.0231565i | ||||
\(885\) | −4.18730 | − | 2.51276i | −0.140754 | − | 0.0844655i | ||||
\(886\) | −2.97116 | + | 5.14619i | −0.0998180 | + | 0.172890i | ||||
\(887\) | 20.1280 | 0.675833 | 0.337917 | − | 0.941176i | \(-0.390278\pi\) | ||||
0.337917 | + | 0.941176i | \(0.390278\pi\) | |||||||
\(888\) | 3.44317 | − | 5.73774i | 0.115545 | − | 0.192546i | ||||
\(889\) | 1.18656 | − | 0.0874986i | 0.0397959 | − | 0.00293461i | ||||
\(890\) | 13.1812i | 0.441835i | ||||||||
\(891\) | 1.27036 | − | 18.7775i | 0.0425587 | − | 0.629071i | ||||
\(892\) | 0.0602532 | − | 0.0347872i | 0.00201743 | − | 0.00116476i | ||||
\(893\) | 0.489476i | 0.0163797i | ||||||||
\(894\) | 1.80354 | − | 1.00105i | 0.0603193 | − | 0.0334801i | ||||
\(895\) | 0.0837491 | − | 0.0483526i | 0.00279942 | − | 0.00161625i | ||||
\(896\) | −2.18780 | + | 1.48780i | −0.0730892 | + | 0.0497039i | ||||
\(897\) | −1.46713 | + | 0.814328i | −0.0489860 | + | 0.0271896i | ||||
\(898\) | −1.79521 | − | 3.10939i | −0.0599069 | − | 0.103762i | ||||
\(899\) | −8.41921 | − | 14.5825i | −0.280796 | − | 0.486353i | ||||
\(900\) | −1.58688 | + | 2.54594i | −0.0528959 | + | 0.0848647i | ||||
\(901\) | 12.3109 | + | 7.10770i | 0.410136 | + | 0.236792i | ||||
\(902\) | −8.44617 | + | 14.6292i | −0.281227 | + | 0.487099i | ||||
\(903\) | 24.2993 | + | 12.2479i | 0.808630 | + | 0.407586i | ||||
\(904\) | −3.99113 | − | 6.91284i | −0.132743 | − | 0.229918i | ||||
\(905\) | − | 20.0938i | − | 0.667939i | ||||||
\(906\) | −1.33104 | − | 2.39806i | −0.0442208 | − | 0.0796702i | ||||
\(907\) | −33.6848 | −1.11849 | −0.559243 | − | 0.829004i | \(-0.688908\pi\) | ||||
−0.559243 | + | 0.829004i | \(0.688908\pi\) | |||||||
\(908\) | −9.19003 | + | 15.9176i | −0.304982 | + | 0.528244i | ||||
\(909\) | −56.5571 | − | 1.91095i | −1.87588 | − | 0.0633822i | ||||
\(910\) | −0.549832 | + | 1.13827i | −0.0182267 | + | 0.0377331i | ||||
\(911\) | −34.1663 | − | 19.7259i | −1.13198 | − | 0.653550i | −0.187549 | − | 0.982255i | \(-0.560054\pi\) |
−0.944432 | + | 0.328706i | \(0.893388\pi\) | |||||||
\(912\) | −8.06747 | − | 0.136253i | −0.267141 | − | 0.00451178i | ||||
\(913\) | −20.2452 | − | 11.6886i | −0.670019 | − | 0.386836i | ||||
\(914\) | −11.6558 | − | 6.72945i | −0.385538 | − | 0.222591i | ||||
\(915\) | −3.60866 | − | 6.50152i | −0.119299 | − | 0.214934i | ||||
\(916\) | 13.9168 | + | 8.03486i | 0.459823 | + | 0.265479i | ||||
\(917\) | −27.5543 | + | 2.03189i | −0.909922 | + | 0.0670990i | ||||
\(918\) | 8.13484 | − | 12.5732i | 0.268490 | − | 0.414978i | ||||
\(919\) | 24.5657 | − | 42.5490i | 0.810346 | − | 1.40356i | −0.102276 | − | 0.994756i | \(-0.532612\pi\) |
0.912622 | − | 0.408804i | \(-0.134054\pi\) | |||||||
\(920\) | 2.02764 | 0.0668492 | ||||||||
\(921\) | 10.3886 | + | 0.175455i | 0.342317 | + | 0.00578144i | ||||
\(922\) | − | 27.1267i | − | 0.893370i | ||||||
\(923\) | −2.59167 | − | 4.48890i | −0.0853058 | − | 0.147754i | ||||
\(924\) | −4.31328 | + | 8.55733i | −0.141896 | + | 0.281515i | ||||
\(925\) | −1.93169 | + | 3.34578i | −0.0635135 | + | 0.110009i | ||||
\(926\) | −27.6688 | − | 15.9746i | −0.909254 | − | 0.524958i | ||||
\(927\) | 1.02904 | − | 30.4559i | 0.0337982 | − | 1.00030i | ||||
\(928\) | −1.58735 | − | 2.74938i | −0.0521075 | − | 0.0902528i | ||||
\(929\) | 3.80826 | + | 6.59610i | 0.124945 | + | 0.216411i | 0.921711 | − | 0.387876i | \(-0.126791\pi\) |
−0.796766 | + | 0.604287i | \(0.793458\pi\) | |||||||
\(930\) | −0.155133 | + | 9.18536i | −0.00508701 | + | 0.301200i | ||||
\(931\) | 30.3263 | + | 11.9857i | 0.993906 | + | 0.392815i | ||||
\(932\) | −22.4677 | + | 12.9717i | −0.735955 | + | 0.424904i | ||||
\(933\) | 35.2403 | + | 21.1474i | 1.15372 | + | 0.692334i | ||||
\(934\) | 36.8052i | 1.20430i | ||||||||
\(935\) | −5.21932 | + | 3.01338i | −0.170690 | + | 0.0985479i | ||||
\(936\) | −0.674354 | − | 1.26482i | −0.0220419 | − | 0.0413419i | ||||
\(937\) | − | 35.6260i | − | 1.16385i | −0.813243 | − | 0.581925i | \(-0.802300\pi\) | ||
0.813243 | − | 0.581925i | \(-0.197700\pi\) | |||||||
\(938\) | 1.06466 | + | 14.4377i | 0.0347623 | + | 0.471407i | ||||
\(939\) | −2.49276 | − | 4.49107i | −0.0813482 | − | 0.146560i | ||||
\(940\) | 0.105073 | 0.00342711 | ||||||||
\(941\) | 22.4863 | − | 38.9474i | 0.733032 | − | 1.26965i | −0.222550 | − | 0.974921i | \(-0.571438\pi\) |
0.955581 | − | 0.294727i | \(-0.0952287\pi\) | |||||||
\(942\) | −0.492013 | + | 29.1319i | −0.0160307 | + | 0.949169i | ||||
\(943\) | 14.1848 | − | 8.18959i | 0.461920 | − | 0.266690i | ||||
\(944\) | −2.81942 | −0.0917643 | ||||||||
\(945\) | 0.315422 | + | 13.7441i | 0.0102607 | + | 0.447096i | ||||
\(946\) | 12.4174 | 0.403725 | ||||||||
\(947\) | 36.7624 | − | 21.2248i | 1.19462 | − | 0.689712i | 0.235266 | − | 0.971931i | \(-0.424404\pi\) |
0.959350 | + | 0.282219i | \(0.0910705\pi\) | |||||||
\(948\) | 0.457317 | − | 27.0775i | 0.0148530 | − | 0.879438i | ||||
\(949\) | −1.55836 | + | 2.69916i | −0.0505865 | + | 0.0876183i | ||||
\(950\) | 4.65842 | 0.151139 | ||||||||
\(951\) | 10.8855 | + | 19.6119i | 0.352988 | + | 0.635958i | ||||
\(952\) | −6.30525 | + | 4.28785i | −0.204354 | + | 0.138970i | ||||
\(953\) | − | 4.59106i | − | 0.148719i | −0.997232 | − | 0.0743595i | \(-0.976309\pi\) | ||
0.997232 | − | 0.0743595i | \(-0.0236912\pi\) | |||||||
\(954\) | 7.82722 | − | 12.5578i | 0.253416 | − | 0.406573i | ||||
\(955\) | −3.05974 | + | 1.76654i | −0.0990108 | + | 0.0571639i | ||||
\(956\) | 9.77390i | 0.316110i | ||||||||
\(957\) | −9.85974 | − | 5.91674i | −0.318720 | − | 0.191261i | ||||
\(958\) | −15.2845 | + | 8.82453i | −0.493821 | + | 0.285108i | ||||
\(959\) | −3.39236 | − | 46.0034i | −0.109545 | − | 1.48553i | ||||
\(960\) | −0.0292487 | + | 1.73180i | −0.000943998 | + | 0.0558937i | ||||
\(961\) | −1.43420 | − | 2.48410i | −0.0462644 | − | 0.0801323i | ||||
\(962\) | −0.922936 | − | 1.59857i | −0.0297566 | − | 0.0515400i | ||||
\(963\) | 46.6846 | + | 29.0984i | 1.50439 | + | 0.937682i | ||||
\(964\) | −22.1792 | − | 12.8052i | −0.714345 | − | 0.412427i | ||||
\(965\) | −12.6572 | + | 21.9229i | −0.407449 | + | 0.705723i | ||||
\(966\) | 7.77062 | − | 5.09461i | 0.250016 | − | 0.163916i | ||||
\(967\) | 3.39500 | + | 5.88032i | 0.109176 | + | 0.189098i | 0.915437 | − | 0.402462i | \(-0.131845\pi\) |
−0.806261 | + | 0.591560i | \(0.798512\pi\) | |||||||
\(968\) | − | 6.62704i | − | 0.213001i | ||||||
\(969\) | −23.2505 | − | 0.392682i | −0.746915 | − | 0.0126148i | ||||
\(970\) | 9.21695 | 0.295938 | ||||||||
\(971\) | 27.3715 | − | 47.4087i | 0.878392 | − | 1.52142i | 0.0252864 | − | 0.999680i | \(-0.491950\pi\) |
0.853105 | − | 0.521739i | \(-0.174716\pi\) | |||||||
\(972\) | −12.7946 | − | 8.90502i | −0.410386 | − | 0.285629i | ||||
\(973\) | 28.0837 | − | 19.0982i | 0.900323 | − | 0.612260i | ||||
\(974\) | 9.43137 | + | 5.44521i | 0.302201 | + | 0.174476i | ||||
\(975\) | 0.401614 | + | 0.723566i | 0.0128620 | + | 0.0231726i | ||||
\(976\) | −3.71793 | − | 2.14655i | −0.119008 | − | 0.0687094i | ||||
\(977\) | −2.91180 | − | 1.68113i | −0.0931566 | − | 0.0537840i | 0.452698 | − | 0.891664i | \(-0.350462\pi\) |
−0.545855 | + | 0.837880i | \(0.683795\pi\) | |||||||
\(978\) | 17.3747 | + | 0.293445i | 0.555582 | + | 0.00938332i | ||||
\(979\) | 23.8712 | + | 13.7820i | 0.762925 | + | 0.440475i | ||||
\(980\) | 2.57291 | − | 6.51000i | 0.0821885 | − | 0.207954i | ||||
\(981\) | −20.0033 | − | 37.5182i | −0.638655 | − | 1.19786i | ||||
\(982\) | −12.4238 | + | 21.5186i | −0.396459 | + | 0.686687i | ||||
\(983\) | 49.5842 | 1.58149 | 0.790745 | − | 0.612146i | \(-0.209694\pi\) | ||||
0.790745 | + | 0.612146i | \(0.209694\pi\) | |||||||
\(984\) | 6.79011 | + | 12.2334i | 0.216461 | + | 0.389985i | ||||
\(985\) | − | 9.01088i | − | 0.287111i | ||||||
\(986\) | −4.57477 | − | 7.92373i | −0.145690 | − | 0.252343i | ||||
\(987\) | 0.402678 | − | 0.264006i | 0.0128174 | − | 0.00840339i | ||||
\(988\) | −1.11287 | + | 1.92754i | −0.0354050 | + | 0.0613233i | ||||
\(989\) | −10.4271 | − | 6.02010i | −0.331563 | − | 0.191428i | ||||
\(990\) | 2.95149 | + | 5.53583i | 0.0938045 | + | 0.175940i | ||||
\(991\) | −25.0428 | − | 43.3755i | −0.795512 | − | 1.37787i | −0.922513 | − | 0.385965i | \(-0.873869\pi\) |
0.127001 | − | 0.991903i | \(-0.459465\pi\) | |||||||
\(992\) | 2.65196 | + | 4.59333i | 0.0841999 | + | 0.145838i | ||||
\(993\) | −51.4960 | + | 28.5828i | −1.63418 | + | 0.907047i | ||||
\(994\) | 16.1406 | + | 23.7346i | 0.511948 | + | 0.752816i | ||||
\(995\) | −12.3893 | + | 7.15296i | −0.392767 | + | 0.226764i | ||||
\(996\) | −16.9296 | + | 9.39677i | −0.536436 | + | 0.297748i | ||||
\(997\) | − | 31.2926i | − | 0.991048i | −0.868594 | − | 0.495524i | \(-0.834976\pi\) | ||
0.868594 | − | 0.495524i | \(-0.165024\pi\) | |||||||
\(998\) | 31.9432 | − | 18.4424i | 1.01115 | − | 0.583785i | ||||
\(999\) | −16.8546 | − | 10.9049i | −0.533256 | − | 0.345015i |
(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.t.c.551.13 | yes | 32 | |
3.2 | odd | 2 | 1890.2.t.c.1601.2 | 32 | |||
7.3 | odd | 6 | 630.2.bk.c.101.15 | yes | 32 | ||
9.4 | even | 3 | 1890.2.bk.c.341.14 | 32 | |||
9.5 | odd | 6 | 630.2.bk.c.131.7 | yes | 32 | ||
21.17 | even | 6 | 1890.2.bk.c.521.14 | 32 | |||
63.31 | odd | 6 | 1890.2.t.c.1151.2 | 32 | |||
63.59 | even | 6 | inner | 630.2.t.c.311.13 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.t.c.311.13 | ✓ | 32 | 63.59 | even | 6 | inner | |
630.2.t.c.551.13 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.bk.c.101.15 | yes | 32 | 7.3 | odd | 6 | ||
630.2.bk.c.131.7 | yes | 32 | 9.5 | odd | 6 | ||
1890.2.t.c.1151.2 | 32 | 63.31 | odd | 6 | |||
1890.2.t.c.1601.2 | 32 | 3.2 | odd | 2 | |||
1890.2.bk.c.341.14 | 32 | 9.4 | even | 3 | |||
1890.2.bk.c.521.14 | 32 | 21.17 | even | 6 |