Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(112,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.112");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.m (of order \(20\), degree \(8\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{20})\) |
Coefficient field: | \(\Q(\zeta_{40})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{12} + x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{4} \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 118.1 | ||
Root | \(-0.987688 + 0.156434i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.118 |
Dual form | 605.2.m.b.282.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.20854 | − | 0.349798i | −1.56167 | − | 0.247345i | −0.685040 | − | 0.728505i | \(-0.740215\pi\) |
−0.876632 | + | 0.481161i | \(0.840215\pi\) | |||||||
\(3\) | 0.642040 | − | 1.26007i | 0.370682 | − | 0.727504i | −0.628033 | − | 0.778187i | \(-0.716140\pi\) |
0.998715 | + | 0.0506828i | \(0.0161398\pi\) | |||||||
\(4\) | 2.85317 | + | 0.927051i | 1.42658 | + | 0.463525i | ||||
\(5\) | 1.03025 | + | 1.98459i | 0.460741 | + | 0.887535i | ||||
\(6\) | −1.85874 | + | 2.55834i | −0.758827 | + | 1.04444i | ||||
\(7\) | 0 | 0 | −0.453990 | − | 0.891007i | \(-0.650000\pi\) | ||||
0.453990 | + | 0.891007i | \(0.350000\pi\) | |||||||
\(8\) | −1.99235 | − | 1.01515i | −0.704403 | − | 0.358911i | ||||
\(9\) | 0.587785 | + | 0.809017i | 0.195928 | + | 0.269672i | ||||
\(10\) | −1.58114 | − | 4.74342i | −0.500000 | − | 1.50000i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.00000 | − | 3.00000i | 0.866025 | − | 0.866025i | ||||
\(13\) | 0.699596 | − | 4.41708i | 0.194033 | − | 1.22508i | −0.677790 | − | 0.735256i | \(-0.737062\pi\) |
0.871823 | − | 0.489821i | \(-0.162938\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.16219 | − | 0.0240055i | 0.816473 | − | 0.00619820i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.699596 | + | 4.41708i | 0.169677 | + | 1.07130i | 0.914663 | + | 0.404218i | \(0.132456\pi\) |
−0.744986 | + | 0.667080i | \(0.767544\pi\) | |||||||
\(18\) | −1.01515 | − | 1.99235i | −0.239274 | − | 0.469602i | ||||
\(19\) | 1.95440 | + | 6.01501i | 0.448369 | + | 1.37994i | 0.878746 | + | 0.477289i | \(0.158380\pi\) |
−0.430377 | + | 0.902649i | \(0.641620\pi\) | |||||||
\(20\) | 1.09966 | + | 6.61746i | 0.245892 | + | 1.47971i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.00000 | − | 1.00000i | −0.208514 | − | 0.208514i | 0.595121 | − | 0.803636i | \(-0.297104\pi\) |
−0.803636 | + | 0.595121i | \(0.797104\pi\) | |||||||
\(24\) | −2.55834 | + | 1.85874i | −0.522218 | + | 0.379414i | ||||
\(25\) | −2.87718 | + | 4.08924i | −0.575435 | + | 0.817848i | ||||
\(26\) | −3.09017 | + | 9.51057i | −0.606032 | + | 1.86518i | ||||
\(27\) | 5.58721 | − | 0.884927i | 1.07526 | − | 0.170304i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.95440 | + | 6.01501i | −0.362922 | + | 1.11696i | 0.588350 | + | 0.808606i | \(0.299778\pi\) |
−0.951272 | + | 0.308353i | \(0.900222\pi\) | |||||||
\(30\) | −6.99221 | − | 1.05311i | −1.27660 | − | 0.192271i | ||||
\(31\) | −1.61803 | + | 1.17557i | −0.290607 | + | 0.211139i | −0.723531 | − | 0.690292i | \(-0.757482\pi\) |
0.432923 | + | 0.901431i | \(0.357482\pi\) | |||||||
\(32\) | 4.74342 | + | 4.74342i | 0.838525 | + | 0.838525i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | − | 10.0000i | − | 1.71499i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.927051 | + | 2.85317i | 0.154508 | + | 0.475528i | ||||
\(37\) | −1.92612 | − | 3.78022i | −0.316652 | − | 0.621464i | 0.676742 | − | 0.736220i | \(-0.263391\pi\) |
−0.993394 | + | 0.114756i | \(0.963391\pi\) | |||||||
\(38\) | −2.21232 | − | 13.9680i | −0.358885 | − | 2.26591i | ||||
\(39\) | −5.11667 | − | 3.71748i | −0.819323 | − | 0.595273i | ||||
\(40\) | −0.0379561 | − | 4.99986i | −0.00600138 | − | 0.790547i | ||||
\(41\) | 6.01501 | − | 1.95440i | 0.939387 | − | 0.305225i | 0.200991 | − | 0.979593i | \(-0.435584\pi\) |
0.738396 | + | 0.674368i | \(0.235584\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.00000 | + | 2.00000i | −0.149071 | + | 0.298142i | ||||
\(46\) | 1.85874 | + | 2.55834i | 0.274056 | + | 0.377206i | ||||
\(47\) | 3.78022 | + | 1.92612i | 0.551402 | + | 0.280953i | 0.707411 | − | 0.706802i | \(-0.249863\pi\) |
−0.156009 | + | 0.987756i | \(0.549863\pi\) | |||||||
\(48\) | −1.26007 | + | 0.642040i | −0.181876 | + | 0.0926704i | ||||
\(49\) | −4.11450 | + | 5.66312i | −0.587785 | + | 0.809017i | ||||
\(50\) | 7.78476 | − | 8.02481i | 1.10093 | − | 1.13488i | ||||
\(51\) | 6.01501 | + | 1.95440i | 0.842270 | + | 0.273670i | ||||
\(52\) | 6.09092 | − | 11.9541i | 0.844659 | − | 1.65774i | ||||
\(53\) | 1.39680 | + | 0.221232i | 0.191866 | + | 0.0303885i | 0.251628 | − | 0.967824i | \(-0.419034\pi\) |
−0.0597620 | + | 0.998213i | \(0.519034\pi\) | |||||||
\(54\) | −12.6491 | −1.72133 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.83415 | + | 1.39919i | 1.17011 | + | 0.185328i | ||||
\(58\) | 6.42040 | − | 12.6007i | 0.843039 | − | 1.65456i | ||||
\(59\) | 5.70634 | + | 1.85410i | 0.742902 | + | 0.241384i | 0.655924 | − | 0.754827i | \(-0.272279\pi\) |
0.0869778 | + | 0.996210i | \(0.472279\pi\) | |||||||
\(60\) | 9.04451 | + | 2.86302i | 1.16764 | + | 0.369614i | ||||
\(61\) | 3.71748 | − | 5.11667i | 0.475975 | − | 0.655123i | −0.501751 | − | 0.865012i | \(-0.667310\pi\) |
0.977725 | + | 0.209890i | \(0.0673104\pi\) | |||||||
\(62\) | 3.98470 | − | 2.03031i | 0.506058 | − | 0.257849i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.64121 | − | 10.5172i | −0.955151 | − | 1.31465i | ||||
\(65\) | 9.48683 | − | 3.16228i | 1.17670 | − | 0.392232i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.00000 | − | 3.00000i | 0.366508 | − | 0.366508i | −0.499694 | − | 0.866202i | \(-0.666554\pi\) |
0.866202 | + | 0.499694i | \(0.166554\pi\) | |||||||
\(68\) | −2.09879 | + | 13.2512i | −0.254516 | + | 1.60695i | ||||
\(69\) | −1.90211 | + | 0.618034i | −0.228988 | + | 0.0744025i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.47214 | + | 4.70228i | 0.768101 | + | 0.558058i | 0.901384 | − | 0.433020i | \(-0.142552\pi\) |
−0.133283 | + | 0.991078i | \(0.542552\pi\) | |||||||
\(72\) | −0.349798 | − | 2.20854i | −0.0412241 | − | 0.260279i | ||||
\(73\) | −2.03031 | − | 3.98470i | −0.237629 | − | 0.466374i | 0.741137 | − | 0.671354i | \(-0.234287\pi\) |
−0.978766 | + | 0.204980i | \(0.934287\pi\) | |||||||
\(74\) | 2.93159 | + | 9.02251i | 0.340791 | + | 1.04885i | ||||
\(75\) | 3.30548 | + | 6.25090i | 0.381684 | + | 0.721792i | ||||
\(76\) | 18.9737i | 2.17643i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 10.0000 | + | 10.0000i | 1.13228 | + | 1.13228i | ||||
\(79\) | 5.11667 | − | 3.71748i | 0.575671 | − | 0.418249i | −0.261490 | − | 0.965206i | \(-0.584214\pi\) |
0.837161 | + | 0.546957i | \(0.184214\pi\) | |||||||
\(80\) | 0.333023 | − | 2.21113i | 0.0372331 | − | 0.247212i | ||||
\(81\) | 1.54508 | − | 4.75528i | 0.171676 | − | 0.528365i | ||||
\(82\) | −13.9680 | + | 2.21232i | −1.54251 | + | 0.244310i | ||||
\(83\) | 8.83415 | − | 1.39919i | 0.969674 | − | 0.153581i | 0.348547 | − | 0.937291i | \(-0.386675\pi\) |
0.621127 | + | 0.783710i | \(0.286675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.04532 | + | 5.93910i | −0.872637 | + | 0.644186i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.32456 | + | 6.32456i | 0.678064 | + | 0.678064i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.00000i | 0.635999i | 0.948091 | + | 0.317999i | \(0.103011\pi\) | ||||
−0.948091 | + | 0.317999i | \(0.896989\pi\) | |||||||
\(90\) | 2.90813 | − | 4.06728i | 0.306544 | − | 0.428729i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.92612 | − | 3.78022i | −0.200812 | − | 0.394115i | ||||
\(93\) | 0.442463 | + | 2.79360i | 0.0458813 | + | 0.289683i | ||||
\(94\) | −7.67501 | − | 5.57622i | −0.791617 | − | 0.575143i | ||||
\(95\) | −9.92380 | + | 10.0756i | −1.01816 | + | 1.03374i | ||||
\(96\) | 9.02251 | − | 2.93159i | 0.920857 | − | 0.299204i | ||||
\(97\) | 1.54862 | − | 9.77762i | 0.157239 | − | 0.992766i | −0.775273 | − | 0.631626i | \(-0.782388\pi\) |
0.932512 | − | 0.361140i | \(-0.117612\pi\) | |||||||
\(98\) | 11.0680 | − | 11.0680i | 1.11803 | − | 1.11803i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −12.0000 | + | 9.00000i | −1.20000 | + | 0.900000i | ||||
\(101\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(102\) | −12.6007 | − | 6.42040i | −1.24766 | − | 0.635714i | ||||
\(103\) | 11.3407 | − | 5.77836i | 1.11743 | − | 0.569358i | 0.205069 | − | 0.978748i | \(-0.434258\pi\) |
0.912360 | + | 0.409389i | \(0.134258\pi\) | |||||||
\(104\) | −5.87785 | + | 8.09017i | −0.576371 | + | 0.793306i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.00750 | − | 0.977198i | −0.292115 | − | 0.0949138i | ||||
\(107\) | 0 | 0 | −0.891007 | − | 0.453990i | \(-0.850000\pi\) | ||||
0.891007 | + | 0.453990i | \(0.150000\pi\) | |||||||
\(108\) | 16.7616 | + | 2.65478i | 1.61289 | + | 0.255456i | ||||
\(109\) | −12.6491 | −1.21157 | −0.605783 | − | 0.795630i | \(-0.707140\pi\) | ||||
−0.605783 | + | 0.795630i | \(0.707140\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.00000 | −0.569495 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.77836 | + | 11.3407i | −0.543582 | + | 1.06684i | 0.441901 | + | 0.897064i | \(0.354304\pi\) |
−0.985483 | + | 0.169776i | \(0.945696\pi\) | |||||||
\(114\) | −19.0211 | − | 6.18034i | −1.78149 | − | 0.578842i | ||||
\(115\) | 0.954339 | − | 3.01484i | 0.0889925 | − | 0.281135i | ||||
\(116\) | −11.1524 | + | 15.3500i | −1.03548 | + | 1.42521i | ||||
\(117\) | 3.98470 | − | 2.03031i | 0.368386 | − | 0.187702i | ||||
\(118\) | −11.9541 | − | 6.09092i | −1.10046 | − | 0.560715i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −6.32456 | − | 3.16228i | −0.577350 | − | 0.288675i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −10.0000 | + | 10.0000i | −0.905357 | + | 0.905357i | ||||
\(123\) | 1.39919 | − | 8.83415i | 0.126161 | − | 0.796549i | ||||
\(124\) | −5.70634 | + | 1.85410i | −0.512444 | + | 0.166503i | ||||
\(125\) | −11.0797 | − | 1.49707i | −0.990995 | − | 0.133902i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.39919 | + | 8.83415i | 0.124158 | + | 0.783904i | 0.968667 | + | 0.248363i | \(0.0798925\pi\) |
−0.844509 | + | 0.535542i | \(0.820108\pi\) | |||||||
\(128\) | 7.10608 | + | 13.9465i | 0.628094 | + | 1.23270i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −22.0582 | + | 3.66554i | −1.93463 | + | 0.321489i | ||||
\(131\) | − | 12.6491i | − | 1.10516i | −0.833461 | − | 0.552579i | \(-0.813644\pi\) | ||
0.833461 | − | 0.552579i | \(-0.186356\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −7.67501 | + | 5.57622i | −0.663020 | + | 0.481712i | ||||
\(135\) | 7.51243 | + | 10.1766i | 0.646567 | + | 0.875863i | ||||
\(136\) | 3.09017 | − | 9.51057i | 0.264980 | − | 0.815524i | ||||
\(137\) | −18.1584 | + | 2.87601i | −1.55138 | + | 0.245714i | −0.872529 | − | 0.488562i | \(-0.837521\pi\) |
−0.678850 | + | 0.734277i | \(0.737521\pi\) | |||||||
\(138\) | 4.41708 | − | 0.699596i | 0.376007 | − | 0.0595536i | ||||
\(139\) | 3.90879 | − | 12.0300i | 0.331539 | − | 1.02037i | −0.636862 | − | 0.770977i | \(-0.719768\pi\) |
0.968402 | − | 0.249395i | \(-0.0802319\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.85410 | − | 3.52671i | 0.408789 | − | 0.297003i | ||||
\(142\) | −12.6491 | − | 12.6491i | −1.06149 | − | 1.06149i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | −13.9508 | + | 2.31829i | −1.15855 | + | 0.192523i | ||||
\(146\) | 3.09017 | + | 9.51057i | 0.255744 | + | 0.787100i | ||||
\(147\) | 4.49428 | + | 8.82051i | 0.370682 | + | 0.727504i | ||||
\(148\) | −1.99109 | − | 12.5712i | −0.163666 | − | 1.03335i | ||||
\(149\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(150\) | −5.11372 | − | 14.9616i | −0.417534 | − | 1.22161i | ||||
\(151\) | 0 | 0 | −0.309017 | − | 0.951057i | \(-0.600000\pi\) | ||||
0.309017 | + | 0.951057i | \(0.400000\pi\) | |||||||
\(152\) | 2.21232 | − | 13.9680i | 0.179443 | − | 1.13296i | ||||
\(153\) | −3.16228 | + | 3.16228i | −0.255655 | + | 0.255655i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.00000 | − | 2.00000i | −0.321288 | − | 0.160644i | ||||
\(156\) | −11.1524 | − | 15.3500i | −0.892910 | − | 1.22899i | ||||
\(157\) | −8.82051 | − | 4.49428i | −0.703954 | − | 0.358682i | 0.0650892 | − | 0.997879i | \(-0.479267\pi\) |
−0.769043 | + | 0.639197i | \(0.779267\pi\) | |||||||
\(158\) | −12.6007 | + | 6.42040i | −1.00246 | + | 0.510779i | ||||
\(159\) | 1.17557 | − | 1.61803i | 0.0932288 | − | 0.128318i | ||||
\(160\) | −4.52683 | + | 14.3006i | −0.357877 | + | 1.13056i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.07577 | + | 9.96176i | −0.398790 | + | 0.782669i | ||||
\(163\) | 1.39680 | + | 0.221232i | 0.109406 | + | 0.0173282i | 0.210897 | − | 0.977508i | \(-0.432361\pi\) |
−0.101491 | + | 0.994836i | \(0.532361\pi\) | |||||||
\(164\) | 18.9737 | 1.48159 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.0000 | −1.55230 | ||||||||
\(167\) | −17.6683 | − | 2.79838i | −1.36721 | − | 0.216546i | −0.570697 | − | 0.821161i | \(-0.693327\pi\) |
−0.796518 | + | 0.604615i | \(0.793327\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.65740 | − | 2.16312i | −0.512107 | − | 0.166394i | ||||
\(170\) | 19.8459 | − | 10.3025i | 1.52211 | − | 0.790165i | ||||
\(171\) | −3.71748 | + | 5.11667i | −0.284283 | + | 0.391282i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.98470 | + | 2.03031i | 0.302951 | + | 0.154361i | 0.598857 | − | 0.800856i | \(-0.295622\pi\) |
−0.295906 | + | 0.955217i | \(0.595622\pi\) | |||||||
\(174\) | −11.7557 | − | 16.1803i | −0.891198 | − | 1.22663i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.00000 | − | 6.00000i | 0.450988 | − | 0.450988i | ||||
\(178\) | 2.09879 | − | 13.2512i | 0.157311 | − | 0.993222i | ||||
\(179\) | 3.80423 | − | 1.23607i | 0.284341 | − | 0.0923881i | −0.163374 | − | 0.986564i | \(-0.552238\pi\) |
0.447715 | + | 0.894176i | \(0.352238\pi\) | |||||||
\(180\) | −4.70727 | + | 4.77929i | −0.350859 | + | 0.356227i | ||||
\(181\) | 6.47214 | + | 4.70228i | 0.481070 | + | 0.349518i | 0.801740 | − | 0.597673i | \(-0.203908\pi\) |
−0.320670 | + | 0.947191i | \(0.603908\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.06061 | − | 7.96940i | −0.300169 | − | 0.589115i | ||||
\(184\) | 0.977198 | + | 3.00750i | 0.0720400 | + | 0.221716i | ||||
\(185\) | 5.51780 | − | 7.71712i | 0.405677 | − | 0.567374i | ||||
\(186\) | − | 6.32456i | − | 0.463739i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 9.00000 | + | 9.00000i | 0.656392 | + | 0.656392i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 25.4415 | − | 18.7811i | 1.84572 | − | 1.36252i | ||||
\(191\) | 6.79837 | − | 20.9232i | 0.491913 | − | 1.51395i | −0.329800 | − | 0.944051i | \(-0.606981\pi\) |
0.821713 | − | 0.569902i | \(-0.193019\pi\) | |||||||
\(192\) | −18.1584 | + | 2.87601i | −1.31047 | + | 0.207558i | ||||
\(193\) | −22.0854 | + | 3.49798i | −1.58974 | + | 0.251790i | −0.887726 | − | 0.460372i | \(-0.847716\pi\) |
−0.702015 | + | 0.712162i | \(0.747716\pi\) | |||||||
\(194\) | −6.84038 | + | 21.0525i | −0.491111 | + | 1.51148i | ||||
\(195\) | 2.10622 | − | 13.9844i | 0.150830 | − | 1.00144i | ||||
\(196\) | −16.9894 | + | 12.3435i | −1.21353 | + | 0.881678i | ||||
\(197\) | 3.16228 | + | 3.16228i | 0.225303 | + | 0.225303i | 0.810727 | − | 0.585424i | \(-0.199072\pi\) |
−0.585424 | + | 0.810727i | \(0.699072\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.00000i | 0.425329i | 0.977125 | + | 0.212664i | \(0.0682141\pi\) | ||||
−0.977125 | + | 0.212664i | \(0.931786\pi\) | |||||||
\(200\) | 9.88355 | − | 5.22642i | 0.698872 | − | 0.369564i | ||||
\(201\) | −1.85410 | − | 5.70634i | −0.130778 | − | 0.402494i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 15.3500 | + | 11.1524i | 1.07472 | + | 0.780827i | ||||
\(205\) | 10.0756 | + | 9.92380i | 0.703712 | + | 0.693108i | ||||
\(206\) | −27.0675 | + | 8.79478i | −1.88589 | + | 0.612761i | ||||
\(207\) | 0.221232 | − | 1.39680i | 0.0153767 | − | 0.0970845i | ||||
\(208\) | −3.16228 | + | 3.16228i | −0.219265 | + | 0.219265i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.8699 | + | 20.4667i | 1.02369 | + | 1.40899i | 0.909586 | + | 0.415516i | \(0.136399\pi\) |
0.114102 | + | 0.993469i | \(0.463601\pi\) | |||||||
\(212\) | 3.78022 | + | 1.92612i | 0.259627 | + | 0.132286i | ||||
\(213\) | 10.0806 | − | 5.13632i | 0.690711 | − | 0.351935i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −12.0300 | − | 3.90879i | −0.818539 | − | 0.265959i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 27.9360 | + | 4.42463i | 1.89207 | + | 0.299674i | ||||
\(219\) | −6.32456 | −0.427374 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 20.0000 | 1.34535 | ||||||||
\(222\) | 13.2512 | + | 2.09879i | 0.889364 | + | 0.140861i | ||||
\(223\) | 7.06243 | − | 13.8608i | 0.472936 | − | 0.928188i | −0.524130 | − | 0.851638i | \(-0.675609\pi\) |
0.997066 | − | 0.0765502i | \(-0.0243905\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.99942 | + | 0.0759100i | −0.333295 | + | 0.00506066i | ||||
\(226\) | 16.7287 | − | 23.0250i | 1.11277 | − | 1.53160i | ||||
\(227\) | −7.96940 | + | 4.06061i | −0.528948 | + | 0.269512i | −0.698004 | − | 0.716094i | \(-0.745928\pi\) |
0.169056 | + | 0.985606i | \(0.445928\pi\) | |||||||
\(228\) | 23.9082 | + | 12.1818i | 1.58336 | + | 0.806762i | ||||
\(229\) | 2.35114 | + | 3.23607i | 0.155368 | + | 0.213845i | 0.879604 | − | 0.475706i | \(-0.157808\pi\) |
−0.724236 | + | 0.689552i | \(0.757808\pi\) | |||||||
\(230\) | −3.16228 | + | 6.32456i | −0.208514 | + | 0.417029i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.0000 | − | 10.0000i | 0.656532 | − | 0.656532i | ||||
\(233\) | −2.09879 | + | 13.2512i | −0.137496 | + | 0.868117i | 0.818451 | + | 0.574577i | \(0.194833\pi\) |
−0.955947 | + | 0.293540i | \(0.905167\pi\) | |||||||
\(234\) | −9.51057 | + | 3.09017i | −0.621725 | + | 0.202011i | ||||
\(235\) | 0.0720166 | + | 9.48656i | 0.00469784 | + | 0.618835i | ||||
\(236\) | 14.5623 | + | 10.5801i | 0.947925 | + | 0.688708i | ||||
\(237\) | −1.39919 | − | 8.83415i | −0.0908873 | − | 0.573840i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.86319 | − | 18.0450i | −0.379258 | − | 1.16724i | −0.940561 | − | 0.339625i | \(-0.889700\pi\) |
0.561303 | − | 0.827610i | \(-0.310300\pi\) | |||||||
\(240\) | −2.57237 | − | 1.83927i | −0.166046 | − | 0.118724i | ||||
\(241\) | − | 6.32456i | − | 0.407400i | −0.979033 | − | 0.203700i | \(-0.934703\pi\) | ||
0.979033 | − | 0.203700i | \(-0.0652968\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.00000 | + | 7.00000i | 0.449050 | + | 0.449050i | ||||
\(244\) | 15.3500 | − | 11.1524i | 0.982684 | − | 0.713962i | ||||
\(245\) | −15.4779 | − | 2.33116i | −0.988847 | − | 0.148932i | ||||
\(246\) | −6.18034 | + | 19.0211i | −0.394044 | + | 1.21274i | ||||
\(247\) | 27.9360 | − | 4.42463i | 1.77753 | − | 0.281533i | ||||
\(248\) | 4.41708 | − | 0.699596i | 0.280485 | − | 0.0444244i | ||||
\(249\) | 3.90879 | − | 12.0300i | 0.247710 | − | 0.762371i | ||||
\(250\) | 23.9462 | + | 7.18199i | 1.51449 | + | 0.454229i | ||||
\(251\) | −9.70820 | + | 7.05342i | −0.612776 | + | 0.445208i | −0.850391 | − | 0.526151i | \(-0.823635\pi\) |
0.237614 | + | 0.971360i | \(0.423635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 20.0000i | − | 1.25491i | ||||||
\(255\) | 2.31829 | + | 13.9508i | 0.145177 | + | 0.873635i | ||||
\(256\) | −2.78115 | − | 8.55951i | −0.173822 | − | 0.534969i | ||||
\(257\) | 4.49428 | + | 8.82051i | 0.280345 | + | 0.550209i | 0.987646 | − | 0.156705i | \(-0.0500871\pi\) |
−0.707300 | + | 0.706913i | \(0.750087\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 29.9991 | − | 0.227736i | 1.86047 | − | 0.0141236i | ||||
\(261\) | −6.01501 | + | 1.95440i | −0.372320 | + | 0.120974i | ||||
\(262\) | −4.42463 | + | 27.9360i | −0.273355 | + | 1.72589i | ||||
\(263\) | −18.9737 | + | 18.9737i | −1.16997 | + | 1.16997i | −0.187749 | + | 0.982217i | \(0.560119\pi\) |
−0.982217 | + | 0.187749i | \(0.939881\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.00000 | + | 3.00000i | 0.0614295 | + | 0.184289i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.56044 | + | 3.85224i | 0.462691 | + | 0.235753i | ||||
\(268\) | 11.3407 | − | 5.77836i | 0.692741 | − | 0.352969i | ||||
\(269\) | −14.1068 | + | 19.4164i | −0.860110 | + | 1.18384i | 0.121434 | + | 0.992600i | \(0.461251\pi\) |
−0.981543 | + | 0.191240i | \(0.938749\pi\) | |||||||
\(270\) | −13.0317 | − | 25.1033i | −0.793086 | − | 1.52774i | ||||
\(271\) | 12.0300 | + | 3.90879i | 0.730772 | + | 0.237442i | 0.650687 | − | 0.759346i | \(-0.274481\pi\) |
0.0800845 | + | 0.996788i | \(0.474481\pi\) | |||||||
\(272\) | 2.03031 | − | 3.98470i | 0.123105 | − | 0.241608i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 41.1096 | 2.48352 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.00000 | −0.361158 | ||||||||
\(277\) | −13.2512 | − | 2.09879i | −0.796189 | − | 0.126104i | −0.254930 | − | 0.966960i | \(-0.582052\pi\) |
−0.541260 | + | 0.840856i | \(0.682052\pi\) | |||||||
\(278\) | −12.8408 | + | 25.2015i | −0.770139 | + | 1.51148i | ||||
\(279\) | −1.90211 | − | 0.618034i | −0.113877 | − | 0.0370007i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.1524 | − | 15.3500i | 0.665299 | − | 0.915705i | −0.334343 | − | 0.942451i | \(-0.608515\pi\) |
0.999642 | + | 0.0267460i | \(0.00851453\pi\) | |||||||
\(282\) | −11.9541 | + | 6.09092i | −0.711857 | + | 0.362709i | ||||
\(283\) | −7.96940 | − | 4.06061i | −0.473732 | − | 0.241378i | 0.200789 | − | 0.979635i | \(-0.435650\pi\) |
−0.674520 | + | 0.738256i | \(0.735650\pi\) | |||||||
\(284\) | 14.1068 | + | 19.4164i | 0.837087 | + | 1.15215i | ||||
\(285\) | 6.32456 | + | 18.9737i | 0.374634 | + | 1.12390i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.04939 | + | 6.62561i | −0.0618362 | + | 0.390418i | ||||
\(289\) | −2.85317 | + | 0.927051i | −0.167834 | + | 0.0545324i | ||||
\(290\) | 31.6219 | − | 0.240055i | 1.85690 | − | 0.0140965i | ||||
\(291\) | −11.3262 | − | 8.22899i | −0.663956 | − | 0.482392i | ||||
\(292\) | −2.09879 | − | 13.2512i | −0.122822 | − | 0.775470i | ||||
\(293\) | −10.1515 | − | 19.9235i | −0.593059 | − | 1.16394i | −0.971216 | − | 0.238202i | \(-0.923442\pi\) |
0.378156 | − | 0.925742i | \(-0.376558\pi\) | |||||||
\(294\) | −6.84038 | − | 21.0525i | −0.398939 | − | 1.22781i | ||||
\(295\) | 2.19932 | + | 13.2349i | 0.128049 | + | 0.770567i | ||||
\(296\) | 9.48683i | 0.551411i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.11667 | + | 3.71748i | −0.295905 | + | 0.214987i | ||||
\(300\) | 3.63619 | + | 20.8992i | 0.209935 | + | 1.20662i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.95440 | − | 6.01501i | 0.112092 | − | 0.344984i | ||||
\(305\) | 13.9844 | + | 2.10622i | 0.800745 | + | 0.120602i | ||||
\(306\) | 8.09017 | − | 5.87785i | 0.462484 | − | 0.336014i | ||||
\(307\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 18.0000i | − | 1.02398i | ||||||
\(310\) | 8.13456 | + | 5.81627i | 0.462012 | + | 0.330342i | ||||
\(311\) | −2.47214 | − | 7.60845i | −0.140182 | − | 0.431436i | 0.856178 | − | 0.516681i | \(-0.172833\pi\) |
−0.996360 | + | 0.0852452i | \(0.972833\pi\) | |||||||
\(312\) | 6.42040 | + | 12.6007i | 0.363483 | + | 0.713376i | ||||
\(313\) | −1.99109 | − | 12.5712i | −0.112543 | − | 0.710567i | −0.977847 | − | 0.209320i | \(-0.932875\pi\) |
0.865304 | − | 0.501247i | \(-0.167125\pi\) | |||||||
\(314\) | 17.9084 | + | 13.0112i | 1.01063 | + | 0.734263i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.0450 | − | 5.86319i | 1.01511 | − | 0.329830i | ||||
\(317\) | 3.76094 | − | 23.7456i | 0.211235 | − | 1.33369i | −0.622975 | − | 0.782242i | \(-0.714076\pi\) |
0.834210 | − | 0.551446i | \(-0.185924\pi\) | |||||||
\(318\) | −3.16228 | + | 3.16228i | −0.177332 | + | 0.177332i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 13.0000 | − | 26.0000i | 0.726722 | − | 1.45344i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −25.2015 | + | 12.8408i | −1.40225 | + | 0.714481i | ||||
\(324\) | 8.81678 | − | 12.1353i | 0.489821 | − | 0.674181i | ||||
\(325\) | 16.0496 | + | 15.5695i | 0.890272 | + | 0.863641i | ||||
\(326\) | −3.00750 | − | 0.977198i | −0.166570 | − | 0.0541220i | ||||
\(327\) | −8.12123 | + | 15.9388i | −0.449105 | + | 0.881418i | ||||
\(328\) | −13.9680 | − | 2.21232i | −0.771255 | − | 0.122155i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.0000 | −0.989369 | −0.494685 | − | 0.869072i | \(-0.664716\pi\) | ||||
−0.494685 | + | 0.869072i | \(0.664716\pi\) | |||||||
\(332\) | 26.5025 | + | 4.19758i | 1.45451 | + | 0.230372i | ||||
\(333\) | 1.92612 | − | 3.78022i | 0.105551 | − | 0.207155i | ||||
\(334\) | 38.0423 | + | 12.3607i | 2.08158 | + | 0.676346i | ||||
\(335\) | 9.04451 | + | 2.86302i | 0.494154 | + | 0.156423i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.9541 | + | 6.09092i | −0.651182 | + | 0.331794i | −0.748185 | − | 0.663490i | \(-0.769074\pi\) |
0.0970031 | + | 0.995284i | \(0.469074\pi\) | |||||||
\(338\) | 13.9465 | + | 7.10608i | 0.758587 | + | 0.386520i | ||||
\(339\) | 10.5801 | + | 14.5623i | 0.574634 | + | 0.790916i | ||||
\(340\) | −28.4605 | + | 9.48683i | −1.54349 | + | 0.514496i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 10.0000 | − | 10.0000i | 0.540738 | − | 0.540738i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.18619 | − | 3.13818i | −0.171539 | − | 0.168954i | ||||
\(346\) | −8.09017 | − | 5.87785i | −0.434930 | − | 0.315995i | ||||
\(347\) | −4.19758 | − | 26.5025i | −0.225338 | − | 1.42273i | −0.797863 | − | 0.602839i | \(-0.794036\pi\) |
0.572525 | − | 0.819887i | \(-0.305964\pi\) | |||||||
\(348\) | 12.1818 | + | 23.9082i | 0.653015 | + | 1.28161i | ||||
\(349\) | −9.77198 | − | 30.0750i | −0.523082 | − | 1.60988i | −0.768078 | − | 0.640356i | \(-0.778787\pi\) |
0.244996 | − | 0.969524i | \(-0.421213\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 25.2982i | − | 1.35032i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −21.0000 | − | 21.0000i | −1.11772 | − | 1.11772i | −0.992076 | − | 0.125642i | \(-0.959901\pi\) |
−0.125642 | − | 0.992076i | \(-0.540099\pi\) | |||||||
\(354\) | −15.3500 | + | 11.1524i | −0.815844 | + | 0.592746i | ||||
\(355\) | −2.66418 | + | 17.6890i | −0.141400 | + | 0.938837i | ||||
\(356\) | −5.56231 | + | 17.1190i | −0.294802 | + | 0.907306i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.83415 | + | 1.39919i | −0.466899 | + | 0.0739496i | ||||
\(359\) | 5.86319 | − | 18.0450i | 0.309447 | − | 0.952380i | −0.668533 | − | 0.743682i | \(-0.733077\pi\) |
0.977980 | − | 0.208698i | \(-0.0669225\pi\) | |||||||
\(360\) | 4.02266 | − | 2.96955i | 0.212013 | − | 0.156509i | ||||
\(361\) | −16.9894 | + | 12.3435i | −0.894177 | + | 0.649657i | ||||
\(362\) | −12.6491 | − | 12.6491i | −0.664822 | − | 0.664822i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.81627 | − | 8.13456i | 0.304437 | − | 0.425782i | ||||
\(366\) | 6.18034 | + | 19.0211i | 0.323052 | + | 0.994250i | ||||
\(367\) | −1.92612 | − | 3.78022i | −0.100543 | − | 0.197326i | 0.835256 | − | 0.549862i | \(-0.185320\pi\) |
−0.935798 | + | 0.352536i | \(0.885320\pi\) | |||||||
\(368\) | 0.221232 | + | 1.39680i | 0.0115325 | + | 0.0728134i | ||||
\(369\) | 5.11667 | + | 3.71748i | 0.266363 | + | 0.193524i | ||||
\(370\) | −14.8857 | + | 15.1134i | −0.773871 | + | 0.785710i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1.32739 | + | 8.38081i | −0.0688220 | + | 0.434525i | ||||
\(373\) | 3.16228 | − | 3.16228i | 0.163737 | − | 0.163737i | −0.620483 | − | 0.784220i | \(-0.713063\pi\) |
0.784220 | + | 0.620483i | \(0.213063\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.00000 | + | 13.0000i | −0.464758 | + | 0.671317i | ||||
\(376\) | −5.57622 | − | 7.67501i | −0.287572 | − | 0.395808i | ||||
\(377\) | 25.2015 | + | 12.8408i | 1.29794 | + | 0.661334i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.2824 | − | 21.0344i | 0.785005 | − | 1.08047i | −0.209707 | − | 0.977764i | \(-0.567251\pi\) |
0.994712 | − | 0.102702i | \(-0.0327490\pi\) | |||||||
\(380\) | −37.6549 | + | 19.5476i | −1.93166 | + | 1.00277i | ||||
\(381\) | 12.0300 | + | 3.90879i | 0.616317 | + | 0.200253i | ||||
\(382\) | −22.3334 | + | 43.8317i | −1.14268 | + | 2.24263i | ||||
\(383\) | −26.5392 | − | 4.20340i | −1.35609 | − | 0.214784i | −0.564298 | − | 0.825572i | \(-0.690853\pi\) |
−0.791794 | + | 0.610788i | \(0.790853\pi\) | |||||||
\(384\) | 22.1359 | 1.12962 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 50.0000 | 2.54493 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.4828 | − | 26.4615i | 0.684487 | − | 1.34338i | ||||
\(389\) | 15.2169 | + | 4.94427i | 0.771528 | + | 0.250685i | 0.668219 | − | 0.743965i | \(-0.267057\pi\) |
0.103309 | + | 0.994649i | \(0.467057\pi\) | |||||||
\(390\) | −9.54339 | + | 30.1484i | −0.483248 | + | 1.52662i | ||||
\(391\) | 3.71748 | − | 5.11667i | 0.188001 | − | 0.258761i | ||||
\(392\) | 13.9465 | − | 7.10608i | 0.704403 | − | 0.358911i | ||||
\(393\) | −15.9388 | − | 8.12123i | −0.804007 | − | 0.409662i | ||||
\(394\) | −5.87785 | − | 8.09017i | −0.296122 | − | 0.407577i | ||||
\(395\) | 12.6491 | + | 6.32456i | 0.636446 | + | 0.318223i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.0000 | − | 13.0000i | 0.652451 | − | 0.652451i | −0.301131 | − | 0.953583i | \(-0.597364\pi\) |
0.953583 | + | 0.301131i | \(0.0973643\pi\) | |||||||
\(398\) | 2.09879 | − | 13.2512i | 0.105203 | − | 0.664224i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.73128 | − | 1.61710i | 0.236564 | − | 0.0808551i | ||||
\(401\) | −9.70820 | − | 7.05342i | −0.484805 | − | 0.352231i | 0.318378 | − | 0.947964i | \(-0.396862\pi\) |
−0.803183 | + | 0.595733i | \(0.796862\pi\) | |||||||
\(402\) | 2.09879 | + | 13.2512i | 0.104678 | + | 0.660911i | ||||
\(403\) | 4.06061 | + | 7.96940i | 0.202274 | + | 0.396984i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 11.0291 | − | 1.83277i | 0.548040 | − | 0.0910710i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −10.0000 | − | 10.0000i | −0.495074 | − | 0.495074i | ||||
\(409\) | 10.2333 | − | 7.43496i | 0.506006 | − | 0.367635i | −0.305300 | − | 0.952256i | \(-0.598757\pi\) |
0.811307 | + | 0.584621i | \(0.198757\pi\) | |||||||
\(410\) | −18.7811 | − | 25.4415i | −0.927531 | − | 1.25647i | ||||
\(411\) | −8.03444 | + | 24.7275i | −0.396310 | + | 1.21972i | ||||
\(412\) | 37.7137 | − | 5.97326i | 1.85802 | − | 0.294281i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −0.977198 | + | 3.00750i | −0.0480266 | + | 0.147811i | ||||
\(415\) | 11.8782 | + | 16.0906i | 0.583078 | + | 0.789858i | ||||
\(416\) | 24.2705 | − | 17.6336i | 1.18996 | − | 0.864556i | ||||
\(417\) | −12.6491 | − | 12.6491i | −0.619430 | − | 0.619430i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 36.0000i | 1.75872i | 0.476162 | + | 0.879358i | \(0.342028\pi\) | ||||
−0.476162 | + | 0.879358i | \(0.657972\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.65248 | − | 26.6296i | −0.421696 | − | 1.29785i | −0.906123 | − | 0.423015i | \(-0.860972\pi\) |
0.484427 | − | 0.874832i | \(-0.339028\pi\) | |||||||
\(422\) | −25.6816 | − | 50.4029i | −1.25016 | − | 2.45358i | ||||
\(423\) | 0.663695 | + | 4.19041i | 0.0322700 | + | 0.203745i | ||||
\(424\) | −2.55834 | − | 1.85874i | −0.124244 | − | 0.0902684i | ||||
\(425\) | −20.0753 | − | 9.84789i | −0.973797 | − | 0.477693i | ||||
\(426\) | −24.0600 | + | 7.81758i | −1.16571 | + | 0.378763i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −11.1524 | − | 15.3500i | −0.537194 | − | 0.739384i | 0.451011 | − | 0.892518i | \(-0.351063\pi\) |
−0.988205 | + | 0.153134i | \(0.951063\pi\) | |||||||
\(432\) | −5.04029 | − | 2.56816i | −0.242501 | − | 0.123561i | ||||
\(433\) | −1.26007 | + | 0.642040i | −0.0605553 | + | 0.0308545i | −0.484006 | − | 0.875065i | \(-0.660819\pi\) |
0.423451 | + | 0.905919i | \(0.360819\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.03577 | + | 19.0675i | −0.289393 | + | 0.914217i | ||||
\(436\) | −36.0901 | − | 11.7264i | −1.72840 | − | 0.561591i | ||||
\(437\) | 4.06061 | − | 7.96940i | 0.194246 | − | 0.381228i | ||||
\(438\) | 13.9680 | + | 2.21232i | 0.667418 | + | 0.105709i | ||||
\(439\) | 12.6491 | 0.603709 | 0.301855 | − | 0.953354i | \(-0.402394\pi\) | ||||
0.301855 | + | 0.953354i | \(0.402394\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −7.00000 | −0.333333 | ||||||||
\(442\) | −44.1708 | − | 6.99596i | −2.10099 | − | 0.332764i | ||||
\(443\) | 7.06243 | − | 13.8608i | 0.335546 | − | 0.658547i | −0.660159 | − | 0.751126i | \(-0.729511\pi\) |
0.995705 | + | 0.0925790i | \(0.0295111\pi\) | |||||||
\(444\) | −17.1190 | − | 5.56231i | −0.812433 | − | 0.263975i | ||||
\(445\) | −11.9075 | + | 6.18149i | −0.564471 | + | 0.293031i | ||||
\(446\) | −20.4461 | + | 28.1417i | −0.968153 | + | 1.33255i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.52671 | − | 4.85410i | −0.166436 | − | 0.229079i | 0.717650 | − | 0.696404i | \(-0.245218\pi\) |
−0.884086 | + | 0.467325i | \(0.845218\pi\) | |||||||
\(450\) | 11.0680 | + | 1.58114i | 0.521749 | + | 0.0745356i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −27.0000 | + | 27.0000i | −1.26997 | + | 1.26997i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 19.0211 | − | 6.18034i | 0.892706 | − | 0.290058i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.1803 | − | 11.7557i | −0.757714 | − | 0.550511i | ||||
\(457\) | 3.49798 | + | 22.0854i | 0.163629 | + | 1.03311i | 0.923657 | + | 0.383221i | \(0.125185\pi\) |
−0.760028 | + | 0.649890i | \(0.774815\pi\) | |||||||
\(458\) | −4.06061 | − | 7.96940i | −0.189740 | − | 0.372386i | ||||
\(459\) | 7.81758 | + | 24.0600i | 0.364893 | + | 1.12303i | ||||
\(460\) | 5.51780 | − | 7.71712i | 0.257269 | − | 0.359812i | ||||
\(461\) | − | 25.2982i | − | 1.17826i | −0.808040 | − | 0.589128i | \(-0.799471\pi\) | ||
0.808040 | − | 0.589128i | \(-0.200529\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.00000 | + | 9.00000i | 0.418265 | + | 0.418265i | 0.884606 | − | 0.466340i | \(-0.154428\pi\) |
−0.466340 | + | 0.884606i | \(0.654428\pi\) | |||||||
\(464\) | 5.11667 | − | 3.71748i | 0.237536 | − | 0.172580i | ||||
\(465\) | −5.08831 | + | 3.75621i | −0.235964 | + | 0.174190i | ||||
\(466\) | 9.27051 | − | 28.5317i | 0.429448 | − | 1.32171i | ||||
\(467\) | 9.77762 | − | 1.54862i | 0.452454 | − | 0.0716617i | 0.0739513 | − | 0.997262i | \(-0.476439\pi\) |
0.378503 | + | 0.925600i | \(0.376439\pi\) | |||||||
\(468\) | 13.2512 | − | 2.09879i | 0.612538 | − | 0.0970165i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 3.15933 | − | 20.9766i | 0.145729 | − | 0.967579i | ||||
\(471\) | −11.3262 | + | 8.22899i | −0.521885 | + | 0.379172i | ||||
\(472\) | −9.48683 | − | 9.48683i | −0.436667 | − | 0.436667i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 20.0000i | 0.918630i | ||||||||
\(475\) | −30.2199 | − | 9.31425i | −1.38659 | − | 0.427367i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.642040 | + | 1.26007i | 0.0293970 | + | 0.0576948i | ||||
\(478\) | 6.63695 | + | 41.9041i | 0.303567 | + | 1.91665i | ||||
\(479\) | 5.11667 | + | 3.71748i | 0.233787 | + | 0.169856i | 0.698511 | − | 0.715600i | \(-0.253846\pi\) |
−0.464724 | + | 0.885456i | \(0.653846\pi\) | |||||||
\(480\) | 15.1134 | + | 14.8857i | 0.689831 | + | 0.679436i | ||||
\(481\) | −18.0450 | + | 5.86319i | −0.822782 | + | 0.267338i | ||||
\(482\) | −2.21232 | + | 13.9680i | −0.100768 | + | 0.636226i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 21.0000 | − | 7.00000i | 0.953561 | − | 0.317854i | ||||
\(486\) | −13.0112 | − | 17.9084i | −0.590199 | − | 0.812339i | ||||
\(487\) | 3.78022 | + | 1.92612i | 0.171298 | + | 0.0872808i | 0.537537 | − | 0.843240i | \(-0.319355\pi\) |
−0.366239 | + | 0.930521i | \(0.619355\pi\) | |||||||
\(488\) | −12.6007 | + | 6.42040i | −0.570408 | + | 0.290638i | ||||
\(489\) | 1.17557 | − | 1.61803i | 0.0531611 | − | 0.0731700i | ||||
\(490\) | 33.3681 | + | 10.5626i | 1.50742 | + | 0.477169i | ||||
\(491\) | −6.01501 | − | 1.95440i | −0.271454 | − | 0.0882006i | 0.170127 | − | 0.985422i | \(-0.445582\pi\) |
−0.441581 | + | 0.897221i | \(0.645582\pi\) | |||||||
\(492\) | 12.1818 | − | 23.9082i | 0.549200 | − | 1.07787i | ||||
\(493\) | −27.9360 | − | 4.42463i | −1.25818 | − | 0.199276i | ||||
\(494\) | −63.2456 | −2.84555 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | 0.0898027 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −12.8408 | + | 25.2015i | −0.575410 | + | 1.12930i | ||||
\(499\) | −32.3359 | − | 10.5066i | −1.44755 | − | 0.470339i | −0.523311 | − | 0.852142i | \(-0.675303\pi\) |
−0.924244 | + | 0.381803i | \(0.875303\pi\) | |||||||
\(500\) | −30.2243 | − | 14.5428i | −1.35167 | − | 0.650374i | ||||
\(501\) | −14.8699 | + | 20.4667i | −0.664339 | + | 0.914384i | ||||
\(502\) | 23.9082 | − | 12.1818i | 1.06708 | − | 0.543702i | ||||
\(503\) | 7.96940 | + | 4.06061i | 0.355338 | + | 0.181054i | 0.622542 | − | 0.782586i | \(-0.286100\pi\) |
−0.267204 | + | 0.963640i | \(0.586100\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.00000 | + | 7.00000i | −0.310881 | + | 0.310881i | ||||
\(508\) | −4.19758 | + | 26.5025i | −0.186237 | + | 1.17586i | ||||
\(509\) | 3.80423 | − | 1.23607i | 0.168619 | − | 0.0547877i | −0.223491 | − | 0.974706i | \(-0.571745\pi\) |
0.392110 | + | 0.919918i | \(0.371745\pi\) | |||||||
\(510\) | −0.240055 | − | 31.6219i | −0.0106298 | − | 1.40024i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.74899 | − | 11.0427i | −0.0772952 | − | 0.488023i | ||||
\(513\) | 16.2425 | + | 31.8776i | 0.717122 | + | 1.40743i | ||||
\(514\) | −6.84038 | − | 21.0525i | −0.301716 | − | 0.928587i | ||||
\(515\) | 23.1514 | + | 16.5534i | 1.02017 | + | 0.729430i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.11667 | − | 3.71748i | 0.224597 | − | 0.163179i | ||||
\(520\) | −22.1113 | − | 3.33023i | −0.969645 | − | 0.146040i | ||||
\(521\) | −8.65248 | + | 26.6296i | −0.379072 | + | 1.16666i | 0.561618 | + | 0.827396i | \(0.310179\pi\) |
−0.940690 | + | 0.339267i | \(0.889821\pi\) | |||||||
\(522\) | 13.9680 | − | 2.21232i | 0.611364 | − | 0.0968305i | ||||
\(523\) | −26.5025 | + | 4.19758i | −1.15887 | + | 0.183547i | −0.706122 | − | 0.708090i | \(-0.749557\pi\) |
−0.452750 | + | 0.891638i | \(0.649557\pi\) | |||||||
\(524\) | 11.7264 | − | 36.0901i | 0.512269 | − | 1.57660i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 48.5410 | − | 35.2671i | 2.11649 | − | 1.53772i | ||||
\(527\) | −6.32456 | − | 6.32456i | −0.275502 | − | 0.275502i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 21.0000i | − | 0.913043i | ||||||
\(530\) | −1.15914 | − | 6.97541i | −0.0503500 | − | 0.302993i | ||||
\(531\) | 1.85410 | + | 5.70634i | 0.0804612 | + | 0.247634i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −4.42463 | − | 27.9360i | −0.191652 | − | 1.21004i | ||||
\(534\) | −15.3500 | − | 11.1524i | −0.664260 | − | 0.482613i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −9.02251 | + | 2.93159i | −0.389713 | + | 0.126626i | ||||
\(537\) | 0.884927 | − | 5.58721i | 0.0381874 | − | 0.241106i | ||||
\(538\) | 37.9473 | − | 37.9473i | 1.63603 | − | 1.63603i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.0000 | + | 36.0000i | 0.516398 | + | 1.54919i | ||||
\(541\) | 22.3049 | + | 30.7000i | 0.958962 | + | 1.31990i | 0.947430 | + | 0.319964i | \(0.103671\pi\) |
0.0115321 | + | 0.999934i | \(0.496329\pi\) | |||||||
\(542\) | −25.2015 | − | 12.8408i | −1.08250 | − | 0.551559i | ||||
\(543\) | 10.0806 | − | 5.13632i | 0.432599 | − | 0.220420i | ||||
\(544\) | −17.6336 | + | 24.2705i | −0.756033 | + | 1.04059i | ||||
\(545\) | −13.0317 | − | 25.1033i | −0.558218 | − | 1.07531i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.12123 | − | 15.9388i | 0.347239 | − | 0.681494i | −0.649657 | − | 0.760227i | \(-0.725088\pi\) |
0.996896 | + | 0.0787331i | \(0.0250875\pi\) | |||||||
\(548\) | −54.4753 | − | 8.62804i | −2.32707 | − | 0.368572i | ||||
\(549\) | 6.32456 | 0.269925 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −40.0000 | −1.70406 | ||||||||
\(552\) | 4.41708 | + | 0.699596i | 0.188003 | + | 0.0297768i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 28.5317 | + | 9.27051i | 1.21220 | + | 0.393866i | ||||
\(555\) | −6.18149 | − | 11.9075i | −0.262390 | − | 0.505446i | ||||
\(556\) | 22.3049 | − | 30.7000i | 0.945938 | − | 1.30197i | ||||
\(557\) | −19.9235 | + | 10.1515i | −0.844186 | + | 0.430134i | −0.821910 | − | 0.569617i | \(-0.807091\pi\) |
−0.0222763 | + | 0.999752i | \(0.507091\pi\) | |||||||
\(558\) | 3.98470 | + | 2.03031i | 0.168686 | + | 0.0859498i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −30.0000 | + | 30.0000i | −1.26547 | + | 1.26547i | ||||
\(563\) | 4.19758 | − | 26.5025i | 0.176907 | − | 1.11695i | −0.726185 | − | 0.687499i | \(-0.758709\pi\) |
0.903092 | − | 0.429447i | \(-0.141291\pi\) | |||||||
\(564\) | 17.1190 | − | 5.56231i | 0.720841 | − | 0.234215i | ||||
\(565\) | −28.4597 | + | 0.216050i | −1.19731 | + | 0.00908928i | ||||
\(566\) | 16.1803 | + | 11.7557i | 0.680110 | + | 0.494129i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −8.12123 | − | 15.9388i | −0.340759 | − | 0.668778i | ||||
\(569\) | 11.7264 | + | 36.0901i | 0.491595 | + | 1.51297i | 0.822197 | + | 0.569204i | \(0.192748\pi\) |
−0.330602 | + | 0.943770i | \(0.607252\pi\) | |||||||
\(570\) | −7.33107 | − | 44.1164i | −0.307065 | − | 1.84783i | ||||
\(571\) | 44.2719i | 1.85272i | 0.376638 | + | 0.926360i | \(0.377080\pi\) | ||||
−0.376638 | + | 0.926360i | \(0.622920\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −22.0000 | − | 22.0000i | −0.919063 | − | 0.919063i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.96641 | − | 1.21206i | 0.290519 | − | 0.0505465i | ||||
\(576\) | 4.01722 | − | 12.3637i | 0.167384 | − | 0.515156i | ||||
\(577\) | −32.1265 | + | 5.08833i | −1.33744 | + | 0.211830i | −0.783846 | − | 0.620956i | \(-0.786745\pi\) |
−0.553596 | + | 0.832785i | \(0.686745\pi\) | |||||||
\(578\) | 6.62561 | − | 1.04939i | 0.275589 | − | 0.0436490i | ||||
\(579\) | −9.77198 | + | 30.0750i | −0.406109 | + | 1.24988i | ||||
\(580\) | −41.9532 | − | 6.31866i | −1.74201 | − | 0.262368i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 22.1359 | + | 22.1359i | 0.917564 | + | 0.917564i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 10.0000i | 0.413803i | ||||||||
\(585\) | 8.13456 | + | 5.81627i | 0.336323 | + | 0.240473i | ||||
\(586\) | 15.4508 | + | 47.5528i | 0.638269 | + | 1.96439i | ||||
\(587\) | 4.49428 | + | 8.82051i | 0.185499 | + | 0.364062i | 0.964963 | − | 0.262384i | \(-0.0845089\pi\) |
−0.779465 | + | 0.626446i | \(0.784509\pi\) | |||||||
\(588\) | 4.64587 | + | 29.3328i | 0.191592 | + | 1.20967i | ||||
\(589\) | −10.2333 | − | 7.43496i | −0.421658 | − | 0.306352i | ||||
\(590\) | −0.227736 | − | 29.9991i | −0.00937576 | − | 1.23504i | ||||
\(591\) | 6.01501 | − | 1.95440i | 0.247424 | − | 0.0803931i | ||||
\(592\) | −0.663695 | + | 4.19041i | −0.0272777 | + | 0.172225i | ||||
\(593\) | −15.8114 | + | 15.8114i | −0.649296 | + | 0.649296i | −0.952823 | − | 0.303527i | \(-0.901836\pi\) |
0.303527 | + | 0.952823i | \(0.401836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 7.56044 | + | 3.85224i | 0.309428 | + | 0.157662i | ||||
\(598\) | 12.6007 | − | 6.42040i | 0.515282 | − | 0.262549i | ||||
\(599\) | 9.40456 | − | 12.9443i | 0.384260 | − | 0.528889i | −0.572447 | − | 0.819942i | \(-0.694006\pi\) |
0.956707 | + | 0.291053i | \(0.0940057\pi\) | |||||||
\(600\) | −0.240048 | − | 15.8096i | −0.00979994 | − | 0.645423i | ||||
\(601\) | 30.0750 | + | 9.77198i | 1.22679 | + | 0.398607i | 0.849549 | − | 0.527509i | \(-0.176874\pi\) |
0.377238 | + | 0.926117i | \(0.376874\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.19041 | + | 0.663695i | 0.170647 | + | 0.0270278i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 44.1708 | + | 6.99596i | 1.79284 | + | 0.283957i | 0.962098 | − | 0.272706i | \(-0.0879185\pi\) |
0.830739 | + | 0.556663i | \(0.187918\pi\) | |||||||
\(608\) | −19.2612 | + | 37.8022i | −0.781144 | + | 1.53308i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −30.1484 | − | 9.54339i | −1.22067 | − | 0.386400i | ||||
\(611\) | 11.1524 | − | 15.3500i | 0.451179 | − | 0.620995i | ||||
\(612\) | −11.9541 | + | 6.09092i | −0.483216 | + | 0.246211i | ||||
\(613\) | 35.8623 | + | 18.2728i | 1.44847 | + | 0.738030i | 0.988686 | − | 0.150003i | \(-0.0479283\pi\) |
0.459780 | + | 0.888033i | \(0.347928\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 18.9737 | − | 6.32456i | 0.765092 | − | 0.255031i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.0000 | + | 17.0000i | −0.684394 | + | 0.684394i | −0.960987 | − | 0.276593i | \(-0.910795\pi\) |
0.276593 | + | 0.960987i | \(0.410795\pi\) | |||||||
\(618\) | −6.29637 | + | 39.7537i | −0.253277 | + | 1.59913i | ||||
\(619\) | −34.2380 | + | 11.1246i | −1.37614 | + | 0.447136i | −0.901399 | − | 0.432988i | \(-0.857459\pi\) |
−0.474743 | + | 0.880124i | \(0.657459\pi\) | |||||||
\(620\) | −9.55858 | − | 9.41454i | −0.383882 | − | 0.378097i | ||||
\(621\) | −6.47214 | − | 4.70228i | −0.259718 | − | 0.188696i | ||||
\(622\) | 2.79838 | + | 17.6683i | 0.112205 | + | 0.708435i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.95440 | + | 6.01501i | 0.0782384 | + | 0.240793i | ||||
\(625\) | −8.44373 | − | 23.5309i | −0.337749 | − | 0.941236i | ||||
\(626\) | 28.4605i | 1.13751i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.0000 | − | 21.0000i | −0.837991 | − | 0.837991i | ||||
\(629\) | 15.3500 | − | 11.1524i | 0.612045 | − | 0.444677i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.88854 | − | 30.4338i | 0.393657 | − | 1.21155i | −0.536346 | − | 0.843998i | \(-0.680196\pi\) |
0.930003 | − | 0.367553i | \(-0.119804\pi\) | |||||||
\(632\) | −13.9680 | + | 2.21232i | −0.555618 | + | 0.0880013i | ||||
\(633\) | 35.3366 | − | 5.59677i | 1.40450 | − | 0.222452i | ||||
\(634\) | −16.6124 | + | 51.1276i | −0.659761 | + | 2.03054i | ||||
\(635\) | −16.0906 | + | 11.8782i | −0.638537 | + | 0.471372i | ||||
\(636\) | 4.85410 | − | 3.52671i | 0.192478 | − | 0.139843i | ||||
\(637\) | 22.1359 | + | 22.1359i | 0.877058 | + | 0.877058i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 8.00000i | 0.316475i | ||||||||
\(640\) | −20.3569 | + | 28.4709i | −0.804679 | + | 1.12541i | ||||
\(641\) | −2.47214 | − | 7.60845i | −0.0976435 | − | 0.300516i | 0.890290 | − | 0.455394i | \(-0.150502\pi\) |
−0.987934 | + | 0.154878i | \(0.950502\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.43355 | + | 15.3648i | 0.0959698 | + | 0.605930i | 0.988060 | + | 0.154072i | \(0.0492386\pi\) |
−0.892090 | + | 0.451858i | \(0.850761\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 60.1501 | − | 19.5440i | 2.36657 | − | 0.768946i | ||||
\(647\) | −2.87601 | + | 18.1584i | −0.113068 | + | 0.713882i | 0.864401 | + | 0.502803i | \(0.167698\pi\) |
−0.977469 | + | 0.211079i | \(0.932302\pi\) | |||||||
\(648\) | −7.90569 | + | 7.90569i | −0.310565 | + | 0.310565i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −30.0000 | − | 40.0000i | −1.17670 | − | 1.56893i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.78022 | + | 1.92612i | 0.148045 | + | 0.0754326i | ||||
\(653\) | −1.26007 | + | 0.642040i | −0.0493105 | + | 0.0251249i | −0.478472 | − | 0.878103i | \(-0.658809\pi\) |
0.429161 | + | 0.903228i | \(0.358809\pi\) | |||||||
\(654\) | 23.5114 | − | 32.3607i | 0.919369 | − | 1.26540i | ||||
\(655\) | 25.1033 | − | 13.0317i | 0.980866 | − | 0.509192i | ||||
\(656\) | −6.01501 | − | 1.95440i | −0.234847 | − | 0.0763063i | ||||
\(657\) | 2.03031 | − | 3.98470i | 0.0792098 | − | 0.155458i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.6491 | −0.492739 | −0.246370 | − | 0.969176i | \(-0.579238\pi\) | ||||
−0.246370 | + | 0.969176i | \(0.579238\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.0000 | 1.63361 | 0.816805 | − | 0.576913i | \(-0.195743\pi\) | ||||
0.816805 | + | 0.576913i | \(0.195743\pi\) | |||||||
\(662\) | 39.7537 | + | 6.29637i | 1.54507 | + | 0.244715i | ||||
\(663\) | 12.8408 | − | 25.2015i | 0.498695 | − | 0.978744i | ||||
\(664\) | −19.0211 | − | 6.18034i | −0.738163 | − | 0.239844i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.57622 | + | 7.67501i | −0.216074 | + | 0.297401i | ||||
\(667\) | 7.96940 | − | 4.06061i | 0.308577 | − | 0.157228i | ||||
\(668\) | −47.8164 | − | 24.3637i | −1.85007 | − | 0.942659i | ||||
\(669\) | −12.9313 | − | 17.7984i | −0.499952 | − | 0.688125i | ||||
\(670\) | −18.9737 | − | 9.48683i | −0.733017 | − | 0.366508i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 6.29637 | − | 39.7537i | 0.242707 | − | 1.53239i | −0.501922 | − | 0.864913i | \(-0.667373\pi\) |
0.744629 | − | 0.667479i | \(-0.232627\pi\) | |||||||
\(674\) | 28.5317 | − | 9.27051i | 1.09900 | − | 0.357087i | ||||
\(675\) | −12.4567 | + | 25.3935i | −0.479459 | + | 0.977397i | ||||
\(676\) | −16.9894 | − | 12.3435i | −0.653437 | − | 0.474750i | ||||
\(677\) | −2.09879 | − | 13.2512i | −0.0806630 | − | 0.509286i | −0.994630 | − | 0.103497i | \(-0.966997\pi\) |
0.913967 | − | 0.405789i | \(-0.133003\pi\) | |||||||
\(678\) | −18.2728 | − | 35.8623i | −0.701761 | − | 1.37728i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 22.0582 | − | 3.66554i | 0.845893 | − | 0.140567i | ||||
\(681\) | 12.6491i | 0.484715i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 29.0000 | + | 29.0000i | 1.10965 | + | 1.10965i | 0.993196 | + | 0.116459i | \(0.0371542\pi\) |
0.116459 | + | 0.993196i | \(0.462846\pi\) | |||||||
\(684\) | −15.3500 | + | 11.1524i | −0.586923 | + | 0.426424i | ||||
\(685\) | −24.4154 | − | 33.0740i | −0.932864 | − | 1.26369i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.58721 | − | 0.884927i | 0.213165 | − | 0.0337621i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.95440 | − | 6.01501i | 0.0744565 | − | 0.229154i | ||||
\(690\) | 5.93910 | + | 8.04532i | 0.226098 | + | 0.306280i | ||||
\(691\) | 22.6525 | − | 16.4580i | 0.861741 | − | 0.626091i | −0.0666172 | − | 0.997779i | \(-0.521221\pi\) |
0.928358 | + | 0.371687i | \(0.121221\pi\) | |||||||
\(692\) | 9.48683 | + | 9.48683i | 0.360635 | + | 0.360635i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 60.0000i | 2.27757i | ||||||||
\(695\) | 27.9017 | − | 4.63658i | 1.05837 | − | 0.175875i | ||||
\(696\) | −6.18034 | − | 19.0211i | −0.234265 | − | 0.720994i | ||||
\(697\) | 12.8408 | + | 25.2015i | 0.486380 | + | 0.954574i | ||||
\(698\) | 11.0616 | + | 69.8401i | 0.418687 | + | 2.64349i | ||||
\(699\) | 15.3500 | + | 11.1524i | 0.580591 | + | 0.421824i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.0750 | − | 9.77198i | 1.13592 | − | 0.369082i | 0.320096 | − | 0.947385i | \(-0.396285\pi\) |
0.815822 | + | 0.578303i | \(0.196285\pi\) | |||||||
\(702\) | −8.84927 | + | 55.8721i | −0.333994 | + | 2.10876i | ||||
\(703\) | 18.9737 | − | 18.9737i | 0.715605 | − | 0.715605i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.0000 | + | 6.00000i | 0.451946 | + | 0.225973i | ||||
\(706\) | 39.0335 | + | 53.7251i | 1.46905 | + | 2.02197i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 22.6813 | − | 11.5567i | 0.852416 | − | 0.434328i | ||||
\(709\) | 3.52671 | − | 4.85410i | 0.132448 | − | 0.182300i | −0.737642 | − | 0.675192i | \(-0.764061\pi\) |
0.870090 | + | 0.492893i | \(0.164061\pi\) | |||||||
\(710\) | 12.0715 | − | 38.1350i | 0.453037 | − | 1.43118i | ||||
\(711\) | 6.01501 | + | 1.95440i | 0.225580 | + | 0.0732955i | ||||
\(712\) | 6.09092 | − | 11.9541i | 0.228267 | − | 0.447999i | ||||
\(713\) | 2.79360 | + | 0.442463i | 0.104621 | + | 0.0165704i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | −26.5025 | − | 4.19758i | −0.989752 | − | 0.156761i | ||||
\(718\) | −19.2612 | + | 37.8022i | −0.718821 | + | 1.41077i | ||||
\(719\) | −22.8254 | − | 7.41641i | −0.851242 | − | 0.276585i | −0.149276 | − | 0.988796i | \(-0.547694\pi\) |
−0.701966 | + | 0.712210i | \(0.747694\pi\) | |||||||
\(720\) | 1.98459 | − | 1.03025i | 0.0739612 | − | 0.0383951i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 41.8394 | − | 21.3182i | 1.55710 | − | 0.793382i | ||||
\(723\) | −7.96940 | − | 4.06061i | −0.296385 | − | 0.151016i | ||||
\(724\) | 14.1068 | + | 19.4164i | 0.524277 | + | 0.721605i | ||||
\(725\) | −18.9737 | − | 25.2982i | −0.704664 | − | 0.939552i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.0000 | − | 23.0000i | 0.853023 | − | 0.853023i | −0.137482 | − | 0.990504i | \(-0.543901\pi\) |
0.990504 | + | 0.137482i | \(0.0439008\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.5806 | − | 8.96149i | 1.02151 | − | 0.331907i | ||||
\(730\) | −15.6909 | + | 15.9310i | −0.580746 | + | 0.589631i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −4.19758 | − | 26.5025i | −0.155147 | − | 0.979559i | ||||
\(733\) | −6.09092 | − | 11.9541i | −0.224973 | − | 0.441535i | 0.750737 | − | 0.660602i | \(-0.229699\pi\) |
−0.975710 | + | 0.219067i | \(0.929699\pi\) | |||||||
\(734\) | 2.93159 | + | 9.02251i | 0.108207 | + | 0.333027i | ||||
\(735\) | −12.8749 | + | 18.0066i | −0.474896 | + | 0.664184i | ||||
\(736\) | − | 9.48683i | − | 0.349689i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −10.0000 | − | 10.0000i | −0.368105 | − | 0.368105i | ||||
\(739\) | −10.2333 | + | 7.43496i | −0.376440 | + | 0.273499i | −0.759876 | − | 0.650068i | \(-0.774740\pi\) |
0.383437 | + | 0.923567i | \(0.374740\pi\) | |||||||
\(740\) | 22.8974 | − | 16.9030i | 0.841724 | − | 0.621365i | ||||
\(741\) | 12.3607 | − | 38.0423i | 0.454081 | − | 1.39752i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0 | 0 | −0.156434 | − | 0.987688i | \(-0.550000\pi\) | ||||
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(744\) | 1.95440 | − | 6.01501i | 0.0716516 | − | 0.220521i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −8.09017 | + | 5.87785i | −0.296202 | + | 0.215203i | ||||
\(747\) | 6.32456 | + | 6.32456i | 0.231403 | + | 0.231403i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 24.4242 | − | 25.5628i | 0.891846 | − | 0.933422i | ||||
\(751\) | −2.47214 | − | 7.60845i | −0.0902095 | − | 0.277636i | 0.895766 | − | 0.444526i | \(-0.146628\pi\) |
−0.985976 | + | 0.166889i | \(0.946628\pi\) | |||||||
\(752\) | −1.92612 | − | 3.78022i | −0.0702383 | − | 0.137850i | ||||
\(753\) | 2.65478 | + | 16.7616i | 0.0967456 | + | 0.610828i | ||||
\(754\) | −51.1667 | − | 37.1748i | −1.86338 | − | 1.35383i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.97326 | − | 37.7137i | 0.217102 | − | 1.37073i | −0.602649 | − | 0.798006i | \(-0.705888\pi\) |
0.819751 | − | 0.572720i | \(-0.194112\pi\) | |||||||
\(758\) | −41.1096 | + | 41.1096i | −1.49317 | + | 1.49317i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.0000 | − | 10.0000i | 1.08821 | − | 0.362738i | ||||
\(761\) | −22.3049 | − | 30.7000i | −0.808551 | − | 1.11288i | −0.991545 | − | 0.129761i | \(-0.958579\pi\) |
0.182994 | − | 0.983114i | \(-0.441421\pi\) | |||||||
\(762\) | −25.2015 | − | 12.8408i | −0.912953 | − | 0.465173i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 38.7938 | − | 53.3951i | 1.40351 | − | 1.93177i | ||||
\(765\) | −9.53375 | − | 3.01788i | −0.344693 | − | 0.109112i | ||||
\(766\) | 57.1426 | + | 18.5668i | 2.06465 | + | 0.670844i | ||||
\(767\) | 12.1818 | − | 23.9082i | 0.439861 | − | 0.863276i | ||||
\(768\) | −12.5712 | − | 1.99109i | −0.453625 | − | 0.0718471i | ||||
\(769\) | 6.32456 | 0.228069 | 0.114035 | − | 0.993477i | \(-0.463623\pi\) | ||||
0.114035 | + | 0.993477i | \(0.463623\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 14.0000 | 0.504198 | ||||||||
\(772\) | −66.2561 | − | 10.4939i | −2.38461 | − | 0.377685i | ||||
\(773\) | 7.06243 | − | 13.8608i | 0.254018 | − | 0.498539i | −0.728419 | − | 0.685132i | \(-0.759745\pi\) |
0.982437 | + | 0.186593i | \(0.0597446\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.151820 | − | 9.99885i | −0.00545353 | − | 0.359169i | ||||
\(776\) | −13.0112 | + | 17.9084i | −0.467074 | + | 0.642872i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −31.8776 | − | 16.2425i | −1.14287 | − | 0.582320i | ||||
\(779\) | 23.5114 | + | 32.3607i | 0.842384 | + | 1.15944i | ||||
\(780\) | 18.9737 | − | 37.9473i | 0.679366 | − | 1.35873i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −10.0000 | + | 10.0000i | −0.357599 | + | 0.357599i | ||||
\(783\) | −5.59677 | + | 35.3366i | −0.200012 | + | 1.26283i | ||||
\(784\) | 6.65740 | − | 2.16312i | 0.237764 | − | 0.0772542i | ||||
\(785\) | −0.168039 | − | 22.1353i | −0.00599756 | − | 0.790043i | ||||
\(786\) | 32.3607 | + | 23.5114i | 1.15427 | + | 0.838624i | ||||
\(787\) | 5.59677 | + | 35.3366i | 0.199503 | + | 1.25961i | 0.860588 | + | 0.509303i | \(0.170097\pi\) |
−0.661084 | + | 0.750312i | \(0.729903\pi\) | |||||||
\(788\) | 6.09092 | + | 11.9541i | 0.216980 | + | 0.425847i | ||||
\(789\) | 11.7264 | + | 36.0901i | 0.417470 | + | 1.28484i | ||||
\(790\) | −25.7237 | − | 18.3927i | −0.915209 | − | 0.654381i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.0000 | − | 20.0000i | −0.710221 | − | 0.710221i | ||||
\(794\) | −33.2584 | + | 24.1636i | −1.18030 | + | 0.857535i | ||||
\(795\) | 4.42226 | + | 0.666045i | 0.156841 | + | 0.0236222i | ||||
\(796\) | −5.56231 | + | 17.1190i | −0.197151 | + | 0.606767i | ||||
\(797\) | −18.1584 | + | 2.87601i | −0.643205 | + | 0.101874i | −0.469512 | − | 0.882926i | \(-0.655570\pi\) |
−0.173693 | + | 0.984800i | \(0.555570\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.86319 | + | 18.0450i | −0.207425 | + | 0.638387i | ||||
\(800\) | −33.0446 | + | 5.74932i | −1.16830 | + | 0.203269i | ||||
\(801\) | −4.85410 | + | 3.52671i | −0.171511 | + | 0.124610i | ||||
\(802\) | 18.9737 | + | 18.9737i | 0.669983 | + | 0.669983i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | − | 18.0000i | − | 0.634811i | ||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −6.18034 | − | 19.0211i | −0.217693 | − | 0.669991i | ||||
\(807\) | 15.4089 | + | 30.2418i | 0.542421 | + | 1.06456i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −15.3500 | − | 11.1524i | −0.539678 | − | 0.392099i | 0.284287 | − | 0.958739i | \(-0.408243\pi\) |
−0.823965 | + | 0.566640i | \(0.808243\pi\) | |||||||
\(810\) | −24.9993 | + | 0.189780i | −0.878385 | + | 0.00666820i | ||||
\(811\) | −6.01501 | + | 1.95440i | −0.211216 | + | 0.0686281i | −0.412714 | − | 0.910861i | \(-0.635419\pi\) |
0.201498 | + | 0.979489i | \(0.435419\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.6491 | − | 12.6491i | 0.443624 | − | 0.443624i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.00000 | + | 3.00000i | 0.0350285 | + | 0.105085i | ||||
\(816\) | −3.71748 | − | 5.11667i | −0.130138 | − | 0.179119i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −25.2015 | + | 12.8408i | −0.881149 | + | 0.448968i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 19.5476 | + | 37.6549i | 0.682632 | + | 1.31497i | ||||
\(821\) | −18.0450 | − | 5.86319i | −0.629776 | − | 0.204627i | −0.0233000 | − | 0.999729i | \(-0.507417\pi\) |
−0.606476 | + | 0.795102i | \(0.707417\pi\) | |||||||
\(822\) | 26.3940 | − | 51.8011i | 0.920596 | − | 1.80677i | ||||
\(823\) | 15.3648 | + | 2.43355i | 0.535584 | + | 0.0848282i | 0.418367 | − | 0.908278i | \(-0.362603\pi\) |
0.117217 | + | 0.993106i | \(0.462603\pi\) | |||||||
\(824\) | −28.4605 | −0.991468 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.83415 | + | 1.39919i | 0.307194 | + | 0.0486547i | 0.308128 | − | 0.951345i | \(-0.400297\pi\) |
−0.000934498 | 1.00000i | \(0.500297\pi\) | ||||||||
\(828\) | 1.92612 | − | 3.78022i | 0.0669372 | − | 0.131372i | ||||
\(829\) | 5.70634 | + | 1.85410i | 0.198189 | + | 0.0643956i | 0.406430 | − | 0.913682i | \(-0.366774\pi\) |
−0.208240 | + | 0.978078i | \(0.566774\pi\) | |||||||
\(830\) | −20.6050 | − | 39.6917i | −0.715209 | − | 1.37772i | ||||
\(831\) | −11.1524 | + | 15.3500i | −0.386874 | + | 0.532486i | ||||
\(832\) | −51.8011 | + | 26.3940i | −1.79588 | + | 0.915047i | ||||
\(833\) | −27.8929 | − | 14.2122i | −0.966432 | − | 0.492422i | ||||
\(834\) | 23.5114 | + | 32.3607i | 0.814134 | + | 1.12056i | ||||
\(835\) | −12.6491 | − | 37.9473i | −0.437741 | − | 1.31322i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.00000 | + | 8.00000i | −0.276520 | + | 0.276520i | ||||
\(838\) | 12.5927 | − | 79.5074i | 0.435009 | − | 2.74654i | ||||
\(839\) | −5.70634 | + | 1.85410i | −0.197005 | + | 0.0640107i | −0.405857 | − | 0.913936i | \(-0.633027\pi\) |
0.208853 | + | 0.977947i | \(0.433027\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.89919 | − | 6.46564i | −0.306869 | − | 0.222953i | ||||
\(842\) | 9.79435 | + | 61.8391i | 0.337535 | + | 2.13112i | ||||
\(843\) | −12.1818 | − | 23.9082i | −0.419565 | − | 0.823443i | ||||
\(844\) | 23.4527 | + | 72.1801i | 0.807277 | + | 2.48454i | ||||
\(845\) | −2.56587 | − | 15.4407i | −0.0882688 | − | 0.531177i | ||||
\(846\) | − | 9.48683i | − | 0.326164i | ||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.00000 | − | 1.00000i | −0.0343401 | − | 0.0343401i | ||||
\(849\) | −10.2333 | + | 7.43496i | −0.351208 | + | 0.255167i | ||||
\(850\) | 40.8924 | + | 28.7718i | 1.40260 | + | 0.986863i | ||||
\(851\) | −1.85410 | + | 5.70634i | −0.0635578 | + | 0.195611i | ||||
\(852\) | 33.5233 | − | 5.30956i | 1.14849 | − | 0.181903i | ||||
\(853\) | 13.2512 | − | 2.09879i | 0.453713 | − | 0.0718612i | 0.0746045 | − | 0.997213i | \(-0.476231\pi\) |
0.379109 | + | 0.925352i | \(0.376231\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −13.9844 | − | 2.10622i | −0.478257 | − | 0.0720312i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.8114 | + | 15.8114i | 0.540107 | + | 0.540107i | 0.923560 | − | 0.383453i | \(-0.125265\pi\) |
−0.383453 | + | 0.923560i | \(0.625265\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 44.0000i | − | 1.50126i | −0.660722 | − | 0.750630i | \(-0.729750\pi\) | ||
0.660722 | − | 0.750630i | \(-0.270250\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 19.2612 | + | 37.8022i | 0.656039 | + | 1.28755i | ||||
\(863\) | 0.221232 | + | 1.39680i | 0.00753082 | + | 0.0475477i | 0.991168 | − | 0.132615i | \(-0.0423375\pi\) |
−0.983637 | + | 0.180163i | \(0.942337\pi\) | |||||||
\(864\) | 30.7000 | + | 22.3049i | 1.04444 | + | 0.758827i | ||||
\(865\) | 0.0759122 | + | 9.99971i | 0.00258109 | + | 0.340000i | ||||
\(866\) | 3.00750 | − | 0.977198i | 0.102199 | − | 0.0332065i | ||||
\(867\) | −0.663695 | + | 4.19041i | −0.0225403 | + | 0.142314i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 20.0000 | − | 40.0000i | 0.678064 | − | 1.35613i | ||||
\(871\) | −11.1524 | − | 15.3500i | −0.377886 | − | 0.520116i | ||||
\(872\) | 25.2015 | + | 12.8408i | 0.853429 | + | 0.434844i | ||||
\(873\) | 8.82051 | − | 4.49428i | 0.298529 | − | 0.152108i | ||||
\(874\) | −11.7557 | + | 16.1803i | −0.397643 | + | 0.547308i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −18.0450 | − | 5.86319i | −0.609685 | − | 0.198099i | ||||
\(877\) | −26.3940 | + | 51.8011i | −0.891262 | + | 1.74920i | −0.275432 | + | 0.961320i | \(0.588821\pi\) |
−0.615830 | + | 0.787879i | \(0.711179\pi\) | |||||||
\(878\) | −27.9360 | − | 4.42463i | −0.942796 | − | 0.149324i | ||||
\(879\) | −31.6228 | −1.06661 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.00000 | 0.0673817 | 0.0336909 | − | 0.999432i | \(-0.489274\pi\) | ||||
0.0336909 | + | 0.999432i | \(0.489274\pi\) | |||||||
\(882\) | 15.4598 | + | 2.44859i | 0.520557 | + | 0.0824482i | ||||
\(883\) | −12.1988 | + | 23.9414i | −0.410521 | + | 0.805692i | −0.999998 | − | 0.00209290i | \(-0.999334\pi\) |
0.589477 | + | 0.807785i | \(0.299334\pi\) | |||||||
\(884\) | 57.0634 | + | 18.5410i | 1.91925 | + | 0.623602i | ||||
\(885\) | 18.0890 | + | 5.72603i | 0.608056 | + | 0.192478i | ||||
\(886\) | −20.4461 | + | 28.1417i | −0.686902 | + | 0.945439i | ||||
\(887\) | 7.96940 | − | 4.06061i | 0.267586 | − | 0.136342i | −0.315050 | − | 0.949075i | \(-0.602021\pi\) |
0.582636 | + | 0.812733i | \(0.302021\pi\) | |||||||
\(888\) | 11.9541 | + | 6.09092i | 0.401154 | + | 0.204398i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 28.4605 | − | 9.48683i | 0.953998 | − | 0.317999i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 33.0000 | − | 33.0000i | 1.10492 | − | 1.10492i | ||||
\(893\) | −4.19758 | + | 26.5025i | −0.140467 | + | 0.886871i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.37238 | + | 6.27636i | 0.213005 | + | 0.209796i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1.39919 | + | 8.83415i | 0.0467177 | + | 0.294964i | ||||
\(898\) | 6.09092 | + | 11.9541i | 0.203257 | + | 0.398914i | ||||
\(899\) | −3.90879 | − | 12.0300i | −0.130365 | − | 0.401224i | ||||
\(900\) | −14.3346 | − | 4.41814i | −0.477819 | − | 0.147271i | ||||
\(901\) | 6.32456i | 0.210701i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 23.0250 | − | 16.7287i | 0.765801 | − | 0.556387i | ||||
\(905\) | −2.66418 | + | 17.6890i | −0.0885603 | + | 0.588004i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 23.7456 | − | 3.76094i | 0.788461 | − | 0.124880i | 0.250798 | − | 0.968040i | \(-0.419307\pi\) |
0.537663 | + | 0.843160i | \(0.319307\pi\) | |||||||
\(908\) | −26.5025 | + | 4.19758i | −0.879515 | + | 0.139301i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −33.9787 | + | 24.6870i | −1.12577 | + | 0.817916i | −0.985073 | − | 0.172137i | \(-0.944933\pi\) |
−0.140692 | + | 0.990053i | \(0.544933\pi\) | |||||||
\(912\) | −6.32456 | − | 6.32456i | −0.209427 | − | 0.209427i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 50.0000i | − | 1.65385i | ||||||
\(915\) | 11.6325 | − | 16.2691i | 0.384560 | − | 0.537840i | ||||
\(916\) | 3.70820 | + | 11.4127i | 0.122523 | + | 0.377086i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −8.84927 | − | 55.8721i | −0.292069 | − | 1.84405i | ||||
\(919\) | −30.7000 | − | 22.3049i | −1.01270 | − | 0.735770i | −0.0479269 | − | 0.998851i | \(-0.515261\pi\) |
−0.964774 | + | 0.263081i | \(0.915261\pi\) | |||||||
\(920\) | −4.96190 | + | 5.03781i | −0.163589 | + | 0.166092i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.84927 | + | 55.8721i | −0.291435 | + | 1.84005i | ||||
\(923\) | 25.2982 | − | 25.2982i | 0.832701 | − | 0.832701i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.0000 | + | 3.00000i | 0.690476 | + | 0.0986394i | ||||
\(926\) | −16.7287 | − | 23.0250i | −0.549738 | − | 0.756649i | ||||
\(927\) | 11.3407 | + | 5.77836i | 0.372476 | + | 0.189786i | ||||
\(928\) | −37.8022 | + | 19.2612i | −1.24092 | + | 0.632279i | ||||
\(929\) | −2.35114 | + | 3.23607i | −0.0771384 | + | 0.106172i | −0.845843 | − | 0.533432i | \(-0.820902\pi\) |
0.768704 | + | 0.639604i | \(0.220902\pi\) | |||||||
\(930\) | 12.5516 | − | 6.51587i | 0.411584 | − | 0.213664i | ||||
\(931\) | −42.1051 | − | 13.6808i | −1.37994 | − | 0.448369i | ||||
\(932\) | −18.2728 | + | 35.8623i | −0.598544 | + | 1.17471i | ||||
\(933\) | −11.1744 | − | 1.76985i | −0.365834 | − | 0.0579424i | ||||
\(934\) | −22.1359 | −0.724310 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −10.0000 | −0.326860 | ||||||||
\(937\) | 13.2512 | + | 2.09879i | 0.432899 | + | 0.0685644i | 0.369081 | − | 0.929397i | \(-0.379672\pi\) |
0.0638176 | + | 0.997962i | \(0.479672\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −17.1190 | − | 5.56231i | −0.558658 | − | 0.181519i | ||||
\(940\) | −8.58905 | + | 27.1335i | −0.280144 | + | 0.884998i | ||||
\(941\) | −22.3049 | + | 30.7000i | −0.727118 | + | 1.00079i | 0.272139 | + | 0.962258i | \(0.412269\pi\) |
−0.999257 | + | 0.0385346i | \(0.987731\pi\) | |||||||
\(942\) | 27.8929 | − | 14.2122i | 0.908800 | − | 0.463057i | ||||
\(943\) | −7.96940 | − | 4.06061i | −0.259520 | − | 0.132232i | ||||
\(944\) | −3.52671 | − | 4.85410i | −0.114785 | − | 0.157988i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.00000 | + | 7.00000i | −0.227469 | + | 0.227469i | −0.811635 | − | 0.584165i | \(-0.801422\pi\) |
0.584165 | + | 0.811635i | \(0.301422\pi\) | |||||||
\(948\) | 4.19758 | − | 26.5025i | 0.136331 | − | 0.860760i | ||||
\(949\) | −19.0211 | + | 6.18034i | −0.617452 | + | 0.200622i | ||||
\(950\) | 63.4838 | + | 31.1418i | 2.05969 | + | 1.01037i | ||||
\(951\) | −27.5066 | − | 19.9847i | −0.891962 | − | 0.648048i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.09092 | + | 11.9541i | 0.197304 | + | 0.387232i | 0.968368 | − | 0.249527i | \(-0.0802750\pi\) |
−0.771064 | + | 0.636758i | \(0.780275\pi\) | |||||||
\(954\) | −0.977198 | − | 3.00750i | −0.0316379 | − | 0.0973716i | ||||
\(955\) | 48.5280 | − | 8.06418i | 1.57033 | − | 0.260951i | ||||
\(956\) | − | 56.9210i | − | 1.84096i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.0000 | − | 10.0000i | −0.323085 | − | 0.323085i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −24.4154 | − | 33.0740i | −0.788004 | − | 1.06746i | ||||
\(961\) | −8.34346 | + | 25.6785i | −0.269144 | + | 0.828340i | ||||
\(962\) | 41.9041 | − | 6.63695i | 1.35104 | − | 0.213984i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.86319 | − | 18.0450i | 0.188840 | − | 0.581191i | ||||
\(965\) | −29.6955 | − | 40.2266i | −0.955932 | − | 1.29494i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.9737 | − | 18.9737i | −0.610152 | − | 0.610152i | 0.332834 | − | 0.942986i | \(-0.391995\pi\) |
−0.942986 | + | 0.332834i | \(0.891995\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 40.0000i | 1.28499i | ||||||||
\(970\) | −48.8279 | + | 8.11401i | −1.56777 | + | 0.260525i | ||||
\(971\) | 12.9787 | + | 39.9444i | 0.416507 | + | 1.28188i | 0.910896 | + | 0.412635i | \(0.135392\pi\) |
−0.494389 | + | 0.869240i | \(0.664608\pi\) | |||||||
\(972\) | 13.4828 | + | 26.4615i | 0.432462 | + | 0.848754i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −7.67501 | − | 5.57622i | −0.245923 | − | 0.178674i | ||||
\(975\) | 29.9232 | − | 10.2274i | 0.958310 | − | 0.327540i | ||||
\(976\) | −6.01501 | + | 1.95440i | −0.192536 | + | 0.0625587i | ||||
\(977\) | 3.76094 | − | 23.7456i | 0.120323 | − | 0.759690i | −0.851565 | − | 0.524248i | \(-0.824346\pi\) |
0.971888 | − | 0.235442i | \(-0.0756537\pi\) | |||||||
\(978\) | −3.16228 | + | 3.16228i | −0.101118 | + | 0.101118i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −42.0000 | − | 21.0000i | −1.34164 | − | 0.670820i | ||||
\(981\) | −7.43496 | − | 10.2333i | −0.237380 | − | 0.326726i | ||||
\(982\) | 12.6007 | + | 6.42040i | 0.402106 | + | 0.204883i | ||||
\(983\) | 36.5421 | − | 18.6191i | 1.16551 | − | 0.593859i | 0.239332 | − | 0.970938i | \(-0.423072\pi\) |
0.926181 | + | 0.377079i | \(0.123072\pi\) | |||||||
\(984\) | −11.7557 | + | 16.1803i | −0.374758 | + | 0.515810i | ||||
\(985\) | −3.01788 | + | 9.53375i | −0.0961578 | + | 0.303771i | ||||
\(986\) | 60.1501 | + | 19.5440i | 1.91557 | + | 0.622406i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 83.8081 | + | 13.2739i | 2.66629 | + | 0.422299i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −58.0000 | −1.84243 | −0.921215 | − | 0.389053i | \(-0.872802\pi\) | ||||
−0.921215 | + | 0.389053i | \(0.872802\pi\) | |||||||
\(992\) | −13.2512 | − | 2.09879i | −0.420727 | − | 0.0666366i | ||||
\(993\) | −11.5567 | + | 22.6813i | −0.366741 | + | 0.719770i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.9075 | + | 6.18149i | −0.377494 | + | 0.195966i | ||||
\(996\) | 22.3049 | − | 30.7000i | 0.706757 | − | 0.972768i | ||||
\(997\) | 43.8317 | − | 22.3334i | 1.38816 | − | 0.707305i | 0.409412 | − | 0.912350i | \(-0.365734\pi\) |
0.978753 | + | 0.205044i | \(0.0657339\pi\) | |||||||
\(998\) | 67.7399 | + | 34.5152i | 2.14427 | + | 1.09256i | ||||
\(999\) | −14.1068 | − | 19.4164i | −0.446321 | − | 0.614308i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))