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 | 112.1 | ||
Root | \(0.453990 - 0.891007i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.112 |
Dual form | 605.2.m.b.578.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01515 | − | 1.99235i | −0.717822 | − | 1.40881i | −0.904539 | − | 0.426391i | \(-0.859785\pi\) |
0.186717 | − | 0.982414i | \(-0.440215\pi\) | |||||||
\(3\) | 0.221232 | − | 1.39680i | 0.127728 | − | 0.806444i | −0.837768 | − | 0.546027i | \(-0.816140\pi\) |
0.965496 | − | 0.260418i | \(-0.0838602\pi\) | |||||||
\(4\) | −1.76336 | + | 2.42705i | −0.881678 | + | 1.21353i | ||||
\(5\) | −1.56909 | − | 1.59310i | −0.701719 | − | 0.712454i | ||||
\(6\) | −3.00750 | + | 0.977198i | −1.22781 | + | 0.398939i | ||||
\(7\) | 0 | 0 | −0.156434 | − | 0.987688i | \(-0.550000\pi\) | ||||
0.156434 | + | 0.987688i | \(0.450000\pi\) | |||||||
\(8\) | 2.20854 | + | 0.349798i | 0.780836 | + | 0.123672i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | −1.58114 | + | 4.74342i | −0.500000 | + | 1.50000i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 3.00000 | + | 3.00000i | 0.866025 | + | 0.866025i | ||||
\(13\) | −3.98470 | + | 2.03031i | −1.10516 | + | 0.563106i | −0.908718 | − | 0.417410i | \(-0.862938\pi\) |
−0.196439 | + | 0.980516i | \(0.562938\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.57237 | + | 1.83927i | −0.664184 | + | 0.474896i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −3.98470 | − | 2.03031i | −0.966432 | − | 0.492422i | −0.101788 | − | 0.994806i | \(-0.532456\pi\) |
−0.864644 | + | 0.502384i | \(0.832456\pi\) | |||||||
\(18\) | −0.349798 | − | 2.20854i | −0.0824482 | − | 0.520557i | ||||
\(19\) | −5.11667 | + | 3.71748i | −1.17385 | + | 0.852848i | −0.991464 | − | 0.130379i | \(-0.958380\pi\) |
−0.182381 | + | 0.983228i | \(0.558380\pi\) | |||||||
\(20\) | 6.63339 | − | 0.999068i | 1.48327 | − | 0.223398i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.00000 | + | 1.00000i | −0.208514 | + | 0.208514i | −0.803636 | − | 0.595121i | \(-0.797104\pi\) |
0.595121 | + | 0.803636i | \(0.297104\pi\) | |||||||
\(24\) | 0.977198 | − | 3.00750i | 0.199470 | − | 0.613904i | ||||
\(25\) | −0.0759100 | + | 4.99942i | −0.0151820 | + | 0.999885i | ||||
\(26\) | 8.09017 | + | 5.87785i | 1.58661 | + | 1.15274i | ||||
\(27\) | 2.56816 | − | 5.04029i | 0.494242 | − | 0.970005i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.11667 | + | 3.71748i | 0.950142 | + | 0.690319i | 0.950841 | − | 0.309681i | \(-0.100222\pi\) |
−0.000698242 | 1.00000i | \(0.500222\pi\) | ||||||||
\(30\) | 6.27582 | + | 3.25793i | 1.14580 | + | 0.594814i | ||||
\(31\) | 0.618034 | − | 1.90211i | 0.111002 | − | 0.341630i | −0.880090 | − | 0.474807i | \(-0.842518\pi\) |
0.991092 | + | 0.133177i | \(0.0425179\pi\) | |||||||
\(32\) | 4.74342 | − | 4.74342i | 0.838525 | − | 0.838525i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 10.0000i | 1.71499i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.42705 | + | 1.76336i | −0.404508 | + | 0.293893i | ||||
\(37\) | −0.663695 | − | 4.19041i | −0.109111 | − | 0.688899i | −0.980235 | − | 0.197836i | \(-0.936609\pi\) |
0.871124 | − | 0.491063i | \(-0.163391\pi\) | |||||||
\(38\) | 12.6007 | + | 6.42040i | 2.04411 | + | 1.04153i | ||||
\(39\) | 1.95440 | + | 6.01501i | 0.312954 | + | 0.963172i | ||||
\(40\) | −2.90813 | − | 4.06728i | −0.459816 | − | 0.643093i | ||||
\(41\) | −3.71748 | − | 5.11667i | −0.580573 | − | 0.799090i | 0.413185 | − | 0.910647i | \(-0.364416\pi\) |
−0.993758 | + | 0.111557i | \(0.964416\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0 | 0 | 0.707107 | − | 0.707107i | \(-0.250000\pi\) | ||||
−0.707107 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.00000 | − | 2.00000i | −0.149071 | − | 0.298142i | ||||
\(46\) | 3.00750 | + | 0.977198i | 0.443432 | + | 0.144080i | ||||
\(47\) | −4.19041 | − | 0.663695i | −0.611234 | − | 0.0968099i | −0.156860 | − | 0.987621i | \(-0.550137\pi\) |
−0.454374 | + | 0.890811i | \(0.650137\pi\) | |||||||
\(48\) | 1.39680 | − | 0.221232i | 0.201611 | − | 0.0319321i | ||||
\(49\) | −6.65740 | + | 2.16312i | −0.951057 | + | 0.309017i | ||||
\(50\) | 10.0377 | − | 4.92394i | 1.41954 | − | 0.696351i | ||||
\(51\) | −3.71748 | + | 5.11667i | −0.520551 | + | 0.716477i | ||||
\(52\) | 2.09879 | − | 13.2512i | 0.291050 | − | 1.83761i | ||||
\(53\) | 0.642040 | + | 1.26007i | 0.0881909 | + | 0.173084i | 0.930889 | − | 0.365302i | \(-0.119034\pi\) |
−0.842698 | + | 0.538386i | \(0.819034\pi\) | |||||||
\(54\) | −12.6491 | −1.72133 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.06061 | + | 7.96940i | 0.537842 | + | 1.05557i | ||||
\(58\) | 2.21232 | − | 13.9680i | 0.290492 | − | 1.83409i | ||||
\(59\) | −3.52671 | + | 4.85410i | −0.459139 | + | 0.631950i | −0.974330 | − | 0.225125i | \(-0.927721\pi\) |
0.515191 | + | 0.857075i | \(0.327721\pi\) | |||||||
\(60\) | 0.0720166 | − | 9.48656i | 0.00929730 | − | 1.22471i | ||||
\(61\) | 6.01501 | − | 1.95440i | 0.770143 | − | 0.250235i | 0.102517 | − | 0.994731i | \(-0.467310\pi\) |
0.667626 | + | 0.744497i | \(0.267310\pi\) | |||||||
\(62\) | −4.41708 | + | 0.699596i | −0.560969 | + | 0.0888488i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.3637 | − | 4.01722i | −1.54547 | − | 0.502153i | ||||
\(65\) | 9.48683 | + | 3.16228i | 1.17670 | + | 0.392232i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.00000 | + | 3.00000i | 0.366508 | + | 0.366508i | 0.866202 | − | 0.499694i | \(-0.166554\pi\) |
−0.499694 | + | 0.866202i | \(0.666554\pi\) | |||||||
\(68\) | 11.9541 | − | 6.09092i | 1.44965 | − | 0.738633i | ||||
\(69\) | 1.17557 | + | 1.61803i | 0.141522 | + | 0.194788i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.47214 | − | 7.60845i | −0.293389 | − | 0.902957i | −0.983758 | − | 0.179500i | \(-0.942552\pi\) |
0.690369 | − | 0.723457i | \(-0.257448\pi\) | |||||||
\(72\) | 1.99235 | + | 1.01515i | 0.234801 | + | 0.119637i | ||||
\(73\) | −0.699596 | − | 4.41708i | −0.0818815 | − | 0.516980i | −0.994204 | − | 0.107508i | \(-0.965713\pi\) |
0.912323 | − | 0.409472i | \(-0.134287\pi\) | |||||||
\(74\) | −7.67501 | + | 5.57622i | −0.892202 | + | 0.648222i | ||||
\(75\) | 6.96641 | + | 1.21206i | 0.804412 | + | 0.139957i | ||||
\(76\) | − | 18.9737i | − | 2.17643i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 10.0000 | − | 10.0000i | 1.13228 | − | 1.13228i | ||||
\(79\) | −1.95440 | + | 6.01501i | −0.219887 | + | 0.676741i | 0.778884 | + | 0.627168i | \(0.215786\pi\) |
−0.998770 | + | 0.0495733i | \(0.984214\pi\) | |||||||
\(80\) | 1.03025 | − | 1.98459i | 0.115185 | − | 0.221884i | ||||
\(81\) | −4.04508 | − | 2.93893i | −0.449454 | − | 0.326547i | ||||
\(82\) | −6.42040 | + | 12.6007i | −0.709014 | + | 1.39152i | ||||
\(83\) | 4.06061 | − | 7.96940i | 0.445710 | − | 0.874756i | −0.553414 | − | 0.832907i | \(-0.686675\pi\) |
0.999124 | − | 0.0418492i | \(-0.0133249\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.01788 | + | 9.53375i | 0.327335 | + | 1.03408i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.32456 | − | 6.32456i | 0.678064 | − | 0.678064i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 6.00000i | − | 0.635999i | −0.948091 | − | 0.317999i | \(-0.896989\pi\) | ||
0.948091 | − | 0.317999i | \(-0.103011\pi\) | |||||||
\(90\) | −2.96955 | + | 4.02266i | −0.313018 | + | 0.424025i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.663695 | − | 4.19041i | −0.0691950 | − | 0.436880i | ||||
\(93\) | −2.52015 | − | 1.28408i | −0.261327 | − | 0.133153i | ||||
\(94\) | 2.93159 | + | 9.02251i | 0.302371 | + | 0.930601i | ||||
\(95\) | 13.9508 | + | 2.31829i | 1.43132 | + | 0.237851i | ||||
\(96\) | −5.57622 | − | 7.67501i | −0.569121 | − | 0.783327i | ||||
\(97\) | −8.82051 | + | 4.49428i | −0.895588 | + | 0.456325i | −0.840285 | − | 0.542145i | \(-0.817612\pi\) |
−0.0553026 | + | 0.998470i | \(0.517612\pi\) | |||||||
\(98\) | 11.0680 | + | 11.0680i | 1.11803 | + | 1.11803i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −12.0000 | − | 9.00000i | −1.20000 | − | 0.900000i | ||||
\(101\) | 0 | 0 | 0.309017 | − | 0.951057i | \(-0.400000\pi\) | ||||
−0.309017 | + | 0.951057i | \(0.600000\pi\) | |||||||
\(102\) | 13.9680 | + | 2.21232i | 1.38304 | + | 0.219052i | ||||
\(103\) | −12.5712 | + | 1.99109i | −1.23868 | + | 0.196188i | −0.741198 | − | 0.671287i | \(-0.765742\pi\) |
−0.497482 | + | 0.867475i | \(0.665742\pi\) | |||||||
\(104\) | −9.51057 | + | 3.09017i | −0.932588 | + | 0.303016i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.85874 | − | 2.55834i | 0.180537 | − | 0.248488i | ||||
\(107\) | 0 | 0 | −0.987688 | − | 0.156434i | \(-0.950000\pi\) | ||||
0.987688 | + | 0.156434i | \(0.0500000\pi\) | |||||||
\(108\) | 7.70447 | + | 15.1209i | 0.741363 | + | 1.45501i | ||||
\(109\) | −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 | ||||||||
\(113\) | −1.99109 | + | 12.5712i | −0.187306 | + | 1.18260i | 0.697481 | + | 0.716604i | \(0.254304\pi\) |
−0.884786 | + | 0.465997i | \(0.845696\pi\) | |||||||
\(114\) | 11.7557 | − | 16.1803i | 1.10102 | − | 1.51543i | ||||
\(115\) | 3.16219 | + | 0.0240055i | 0.294875 | + | 0.00223853i | ||||
\(116\) | −18.0450 | + | 5.86319i | −1.67544 | + | 0.544383i | ||||
\(117\) | −4.41708 | + | 0.699596i | −0.408359 | + | 0.0646777i | ||||
\(118\) | 13.2512 | + | 2.09879i | 1.21987 | + | 0.193209i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −6.32456 | + | 3.16228i | −0.577350 | + | 0.288675i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −10.0000 | − | 10.0000i | −0.905357 | − | 0.905357i | ||||
\(123\) | −7.96940 | + | 4.06061i | −0.718577 | + | 0.366133i | ||||
\(124\) | 3.52671 | + | 4.85410i | 0.316708 | + | 0.435911i | ||||
\(125\) | 8.08367 | − | 7.72362i | 0.723026 | − | 0.690821i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.96940 | − | 4.06061i | −0.707170 | − | 0.360321i | 0.0631276 | − | 0.998005i | \(-0.479892\pi\) |
−0.770298 | + | 0.637684i | \(0.779892\pi\) | |||||||
\(128\) | 2.44859 | + | 15.4598i | 0.216427 | + | 1.36646i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.33023 | − | 22.1113i | −0.292080 | − | 1.93929i | ||||
\(131\) | 12.6491i | 1.10516i | 0.833461 | + | 0.552579i | \(0.186356\pi\) | ||||
−0.833461 | + | 0.552579i | \(0.813644\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 2.93159 | − | 9.02251i | 0.253251 | − | 0.779427i | ||||
\(135\) | −12.0593 | + | 3.81736i | −1.03790 | + | 0.328546i | ||||
\(136\) | −8.09017 | − | 5.87785i | −0.693726 | − | 0.504022i | ||||
\(137\) | −8.34651 | + | 16.3810i | −0.713091 | + | 1.39952i | 0.195024 | + | 0.980798i | \(0.437521\pi\) |
−0.908115 | + | 0.418721i | \(0.862479\pi\) | |||||||
\(138\) | 2.03031 | − | 3.98470i | 0.172831 | − | 0.339200i | ||||
\(139\) | −10.2333 | − | 7.43496i | −0.867981 | − | 0.630625i | 0.0620634 | − | 0.998072i | \(-0.480232\pi\) |
−0.930044 | + | 0.367447i | \(0.880232\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.85410 | + | 5.70634i | −0.156144 | + | 0.480560i | ||||
\(142\) | −12.6491 | + | 12.6491i | −1.06149 | + | 1.06149i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000i | 0.0833333i | ||||||||
\(145\) | −2.10622 | − | 13.9844i | −0.174912 | − | 1.16134i | ||||
\(146\) | −8.09017 | + | 5.87785i | −0.669547 | + | 0.486455i | ||||
\(147\) | 1.54862 | + | 9.77762i | 0.127728 | + | 0.806444i | ||||
\(148\) | 11.3407 | + | 5.77836i | 0.932197 | + | 0.474978i | ||||
\(149\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(150\) | −4.65712 | − | 15.1100i | −0.380253 | − | 1.23372i | ||||
\(151\) | 0 | 0 | 0.809017 | − | 0.587785i | \(-0.200000\pi\) | ||||
−0.809017 | + | 0.587785i | \(0.800000\pi\) | |||||||
\(152\) | −12.6007 | + | 6.42040i | −1.02205 | + | 0.520763i | ||||
\(153\) | −3.16228 | − | 3.16228i | −0.255655 | − | 0.255655i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.00000 | + | 2.00000i | −0.321288 | + | 0.160644i | ||||
\(156\) | −18.0450 | − | 5.86319i | −1.44476 | − | 0.469431i | ||||
\(157\) | 9.77762 | + | 1.54862i | 0.780339 | + | 0.123594i | 0.533881 | − | 0.845560i | \(-0.320733\pi\) |
0.246458 | + | 0.969153i | \(0.420733\pi\) | |||||||
\(158\) | 13.9680 | − | 2.21232i | 1.11124 | − | 0.176003i | ||||
\(159\) | 1.90211 | − | 0.618034i | 0.150847 | − | 0.0490133i | ||||
\(160\) | −14.9996 | − | 0.113868i | −1.18582 | − | 0.00900207i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.74899 | + | 11.0427i | −0.137414 | + | 0.867596i | ||||
\(163\) | 0.642040 | + | 1.26007i | 0.0502884 | + | 0.0986966i | 0.914783 | − | 0.403945i | \(-0.132361\pi\) |
−0.864495 | + | 0.502642i | \(0.832361\pi\) | |||||||
\(164\) | 18.9737 | 1.48159 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −20.0000 | −1.55230 | ||||||||
\(167\) | −8.12123 | − | 15.9388i | −0.628440 | − | 1.23338i | −0.957325 | − | 0.289012i | \(-0.906673\pi\) |
0.328886 | − | 0.944370i | \(-0.393327\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.11450 | − | 5.66312i | 0.316500 | − | 0.435625i | ||||
\(170\) | 15.9310 | − | 15.6909i | 1.22185 | − | 1.20344i | ||||
\(171\) | −6.01501 | + | 1.95440i | −0.459979 | + | 0.149456i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −4.41708 | − | 0.699596i | −0.335824 | − | 0.0531893i | −0.0137548 | − | 0.999905i | \(-0.504378\pi\) |
−0.322069 | + | 0.946716i | \(0.604378\pi\) | |||||||
\(174\) | −19.0211 | − | 6.18034i | −1.44199 | − | 0.468530i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 6.00000 | + | 6.00000i | 0.450988 | + | 0.450988i | ||||
\(178\) | −11.9541 | + | 6.09092i | −0.895998 | + | 0.456534i | ||||
\(179\) | −2.35114 | − | 3.23607i | −0.175733 | − | 0.241875i | 0.712060 | − | 0.702118i | \(-0.247762\pi\) |
−0.887793 | + | 0.460243i | \(0.847762\pi\) | |||||||
\(180\) | 6.61746 | + | 1.09966i | 0.493236 | + | 0.0819639i | ||||
\(181\) | −2.47214 | − | 7.60845i | −0.183752 | − | 0.565532i | 0.816172 | − | 0.577809i | \(-0.196092\pi\) |
−0.999925 | + | 0.0122769i | \(0.996092\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.39919 | − | 8.83415i | −0.103431 | − | 0.653039i | ||||
\(184\) | −2.55834 | + | 1.85874i | −0.188603 | + | 0.137028i | ||||
\(185\) | −5.63432 | + | 7.63246i | −0.414244 | + | 0.561149i | ||||
\(186\) | 6.32456i | 0.463739i | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 9.00000 | − | 9.00000i | 0.656392 | − | 0.656392i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −9.54339 | − | 30.1484i | −0.692350 | − | 2.18719i | ||||
\(191\) | −17.7984 | − | 12.9313i | −1.28785 | − | 0.935674i | −0.288086 | − | 0.957605i | \(-0.593019\pi\) |
−0.999760 | + | 0.0219304i | \(0.993019\pi\) | |||||||
\(192\) | −8.34651 | + | 16.3810i | −0.602358 | + | 1.18219i | ||||
\(193\) | −10.1515 | + | 19.9235i | −0.730724 | + | 1.43413i | 0.163518 | + | 0.986540i | \(0.447716\pi\) |
−0.894241 | + | 0.447585i | \(0.852284\pi\) | |||||||
\(194\) | 17.9084 | + | 13.0112i | 1.28574 | + | 0.934148i | ||||
\(195\) | 6.51587 | − | 12.5516i | 0.466611 | − | 0.898841i | ||||
\(196\) | 6.48936 | − | 19.9722i | 0.463525 | − | 1.42658i | ||||
\(197\) | 3.16228 | − | 3.16228i | 0.225303 | − | 0.225303i | −0.585424 | − | 0.810727i | \(-0.699072\pi\) |
0.810727 | + | 0.585424i | \(0.199072\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 6.00000i | − | 0.425329i | −0.977125 | − | 0.212664i | \(-0.931786\pi\) | ||
0.977125 | − | 0.212664i | \(-0.0682141\pi\) | |||||||
\(200\) | −1.91644 | + | 11.0149i | −0.135513 | + | 0.778869i | ||||
\(201\) | 4.85410 | − | 3.52671i | 0.342382 | − | 0.248755i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −5.86319 | − | 18.0450i | −0.410505 | − | 1.26340i | ||||
\(205\) | −2.31829 | + | 13.9508i | −0.161916 | + | 0.974368i | ||||
\(206\) | 16.7287 | + | 23.0250i | 1.16554 | + | 1.60423i | ||||
\(207\) | −1.26007 | + | 0.642040i | −0.0875812 | + | 0.0446248i | ||||
\(208\) | −3.16228 | − | 3.16228i | −0.219265 | − | 0.219265i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 24.0600 | + | 7.81758i | 1.65636 | + | 0.538184i | 0.980105 | − | 0.198482i | \(-0.0636010\pi\) |
0.676257 | + | 0.736666i | \(0.263601\pi\) | |||||||
\(212\) | −4.19041 | − | 0.663695i | −0.287798 | − | 0.0455828i | ||||
\(213\) | −11.1744 | + | 1.76985i | −0.765659 | + | 0.121268i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 7.43496 | − | 10.2333i | 0.505885 | − | 0.696291i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 12.8408 | + | 25.2015i | 0.869688 | + | 1.70686i | ||||
\(219\) | −6.32456 | −0.427374 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 20.0000 | 1.34535 | ||||||||
\(222\) | 6.09092 | + | 11.9541i | 0.408796 | + | 0.802307i | ||||
\(223\) | 2.43355 | − | 15.3648i | 0.162963 | − | 1.02890i | −0.761648 | − | 0.647991i | \(-0.775609\pi\) |
0.924611 | − | 0.380914i | \(-0.124391\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.61710 | + | 4.73128i | −0.107807 | + | 0.315418i | ||||
\(226\) | 27.0675 | − | 8.79478i | 1.80051 | − | 0.585020i | ||||
\(227\) | 8.83415 | − | 1.39919i | 0.586343 | − | 0.0928677i | 0.143787 | − | 0.989609i | \(-0.454072\pi\) |
0.442556 | + | 0.896741i | \(0.354072\pi\) | |||||||
\(228\) | −26.5025 | − | 4.19758i | −1.75517 | − | 0.277991i | ||||
\(229\) | 3.80423 | + | 1.23607i | 0.251390 | + | 0.0816817i | 0.432001 | − | 0.901873i | \(-0.357808\pi\) |
−0.180611 | + | 0.983555i | \(0.557808\pi\) | |||||||
\(230\) | −3.16228 | − | 6.32456i | −0.208514 | − | 0.417029i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.0000 | + | 10.0000i | 0.656532 | + | 0.656532i | ||||
\(233\) | 11.9541 | − | 6.09092i | 0.783140 | − | 0.399030i | −0.0162307 | − | 0.999868i | \(-0.505167\pi\) |
0.799370 | + | 0.600839i | \(0.205167\pi\) | |||||||
\(234\) | 5.87785 | + | 8.09017i | 0.384247 | + | 0.528871i | ||||
\(235\) | 5.51780 | + | 7.71712i | 0.359941 | + | 0.503409i | ||||
\(236\) | −5.56231 | − | 17.1190i | −0.362075 | − | 1.11435i | ||||
\(237\) | 7.96940 | + | 4.06061i | 0.517668 | + | 0.263765i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 15.3500 | − | 11.1524i | 0.992910 | − | 0.721391i | 0.0323537 | − | 0.999476i | \(-0.489700\pi\) |
0.960556 | + | 0.278085i | \(0.0896997\pi\) | |||||||
\(240\) | −2.54415 | − | 1.87811i | −0.164224 | − | 0.121231i | ||||
\(241\) | 6.32456i | 0.407400i | 0.979033 | + | 0.203700i | \(0.0652968\pi\) | ||||
−0.979033 | + | 0.203700i | \(0.934703\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.00000 | − | 7.00000i | 0.449050 | − | 0.449050i | ||||
\(244\) | −5.86319 | + | 18.0450i | −0.375352 | + | 1.15521i | ||||
\(245\) | 13.8921 | + | 7.21174i | 0.887535 | + | 0.460741i | ||||
\(246\) | 16.1803 | + | 11.7557i | 1.03162 | + | 0.749516i | ||||
\(247\) | 12.8408 | − | 25.2015i | 0.817040 | − | 1.60353i | ||||
\(248\) | 2.03031 | − | 3.98470i | 0.128925 | − | 0.253029i | ||||
\(249\) | −10.2333 | − | 7.43496i | −0.648512 | − | 0.471171i | ||||
\(250\) | −23.5943 | − | 8.26486i | −1.49224 | − | 0.522715i | ||||
\(251\) | 3.70820 | − | 11.4127i | 0.234060 | − | 0.720362i | −0.763185 | − | 0.646180i | \(-0.776365\pi\) |
0.997245 | − | 0.0741818i | \(-0.0236345\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 20.0000i | 1.25491i | ||||||||
\(255\) | 13.9844 | − | 2.10622i | 0.875738 | − | 0.131897i | ||||
\(256\) | 7.28115 | − | 5.29007i | 0.455072 | − | 0.330629i | ||||
\(257\) | 1.54862 | + | 9.77762i | 0.0966004 | + | 0.609911i | 0.987731 | + | 0.156164i | \(0.0499129\pi\) |
−0.891131 | + | 0.453747i | \(0.850087\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −24.4037 | + | 17.4488i | −1.51345 | + | 1.08213i | ||||
\(261\) | 3.71748 | + | 5.11667i | 0.230106 | + | 0.316714i | ||||
\(262\) | 25.2015 | − | 12.8408i | 1.55695 | − | 0.793307i | ||||
\(263\) | −18.9737 | − | 18.9737i | −1.16997 | − | 1.16997i | −0.982217 | − | 0.187749i | \(-0.939881\pi\) |
−0.187749 | − | 0.982217i | \(-0.560119\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.00000 | − | 3.00000i | 0.0614295 | − | 0.184289i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.38081 | − | 1.32739i | −0.512897 | − | 0.0812350i | ||||
\(268\) | −12.5712 | + | 1.99109i | −0.767909 | + | 0.121625i | ||||
\(269\) | −22.8254 | + | 7.41641i | −1.39169 | + | 0.452186i | −0.906493 | − | 0.422221i | \(-0.861251\pi\) |
−0.485193 | + | 0.874407i | \(0.661251\pi\) | |||||||
\(270\) | 19.8476 | + | 20.1512i | 1.20789 | + | 1.22637i | ||||
\(271\) | −7.43496 | + | 10.2333i | −0.451642 | + | 0.621631i | −0.972749 | − | 0.231860i | \(-0.925519\pi\) |
0.521108 | + | 0.853491i | \(0.325519\pi\) | |||||||
\(272\) | 0.699596 | − | 4.41708i | 0.0424193 | − | 0.267825i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 41.1096 | 2.48352 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.00000 | −0.361158 | ||||||||
\(277\) | −6.09092 | − | 11.9541i | −0.365968 | − | 0.718253i | 0.632443 | − | 0.774607i | \(-0.282052\pi\) |
−0.998411 | + | 0.0563544i | \(0.982052\pi\) | |||||||
\(278\) | −4.42463 | + | 27.9360i | −0.265372 | + | 1.67549i | ||||
\(279\) | 1.17557 | − | 1.61803i | 0.0703796 | − | 0.0968692i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 18.0450 | − | 5.86319i | 1.07648 | − | 0.349768i | 0.283469 | − | 0.958981i | \(-0.408515\pi\) |
0.793007 | + | 0.609213i | \(0.208515\pi\) | |||||||
\(282\) | 13.2512 | − | 2.09879i | 0.789099 | − | 0.124981i | ||||
\(283\) | 8.83415 | + | 1.39919i | 0.525136 | + | 0.0831734i | 0.413373 | − | 0.910562i | \(-0.364350\pi\) |
0.111762 | + | 0.993735i | \(0.464350\pi\) | |||||||
\(284\) | 22.8254 | + | 7.41641i | 1.35444 | + | 0.440083i | ||||
\(285\) | 6.32456 | − | 18.9737i | 0.374634 | − | 1.12390i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.97705 | − | 3.04546i | 0.352201 | − | 0.179456i | ||||
\(289\) | 1.76336 | + | 2.42705i | 0.103727 | + | 0.142768i | ||||
\(290\) | −25.7237 | + | 18.3927i | −1.51055 | + | 1.08005i | ||||
\(291\) | 4.32624 | + | 13.3148i | 0.253609 | + | 0.780527i | ||||
\(292\) | 11.9541 | + | 6.09092i | 0.699561 | + | 0.356444i | ||||
\(293\) | −3.49798 | − | 22.0854i | −0.204354 | − | 1.29024i | −0.850072 | − | 0.526666i | \(-0.823442\pi\) |
0.645718 | − | 0.763576i | \(-0.276558\pi\) | |||||||
\(294\) | 17.9084 | − | 13.0112i | 1.04444 | − | 0.758827i | ||||
\(295\) | 13.2668 | − | 1.99814i | 0.772422 | − | 0.116336i | ||||
\(296\) | − | 9.48683i | − | 0.551411i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.95440 | − | 6.01501i | 0.113026 | − | 0.347857i | ||||
\(300\) | −15.2260 | + | 14.7705i | −0.879074 | + | 0.852778i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.11667 | − | 3.71748i | −0.293461 | − | 0.213212i | ||||
\(305\) | −12.5516 | − | 6.51587i | −0.718704 | − | 0.373097i | ||||
\(306\) | −3.09017 | + | 9.51057i | −0.176653 | + | 0.543683i | ||||
\(307\) | 0 | 0 | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||||
0.707107 | + | 0.707107i | \(0.250000\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 18.0000i | 1.02398i | ||||||||
\(310\) | 8.04532 | + | 5.93910i | 0.456943 | + | 0.337318i | ||||
\(311\) | 6.47214 | − | 4.70228i | 0.367001 | − | 0.266642i | −0.388965 | − | 0.921252i | \(-0.627167\pi\) |
0.755966 | + | 0.654611i | \(0.227167\pi\) | |||||||
\(312\) | 2.21232 | + | 13.9680i | 0.125248 | + | 0.790784i | ||||
\(313\) | 11.3407 | + | 5.77836i | 0.641012 | + | 0.326612i | 0.744108 | − | 0.668059i | \(-0.232875\pi\) |
−0.103096 | + | 0.994671i | \(0.532875\pi\) | |||||||
\(314\) | −6.84038 | − | 21.0525i | −0.386025 | − | 1.18806i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.1524 | − | 15.3500i | −0.627374 | − | 0.863506i | ||||
\(317\) | −21.4212 | + | 10.9147i | −1.20314 | + | 0.613029i | −0.936466 | − | 0.350758i | \(-0.885924\pi\) |
−0.266671 | + | 0.963788i | \(0.585924\pi\) | |||||||
\(318\) | −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 | ||||||||
\(323\) | 27.9360 | − | 4.42463i | 1.55440 | − | 0.246193i | ||||
\(324\) | 14.2658 | − | 4.63525i | 0.792547 | − | 0.257514i | ||||
\(325\) | −9.84789 | − | 20.0753i | −0.546263 | − | 1.11358i | ||||
\(326\) | 1.85874 | − | 2.55834i | 0.102946 | − | 0.141693i | ||||
\(327\) | −2.79838 | + | 17.6683i | −0.154751 | + | 0.977060i | ||||
\(328\) | −6.42040 | − | 12.6007i | −0.354507 | − | 0.695759i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.0000 | −0.989369 | −0.494685 | − | 0.869072i | \(-0.664716\pi\) | ||||
−0.494685 | + | 0.869072i | \(0.664716\pi\) | |||||||
\(332\) | 12.1818 | + | 23.9082i | 0.668566 | + | 1.31213i | ||||
\(333\) | 0.663695 | − | 4.19041i | 0.0363703 | − | 0.229633i | ||||
\(334\) | −23.5114 | + | 32.3607i | −1.28649 | + | 1.77070i | ||||
\(335\) | 0.0720166 | − | 9.48656i | 0.00393469 | − | 0.518306i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.2512 | − | 2.09879i | 0.721840 | − | 0.114328i | 0.215304 | − | 0.976547i | \(-0.430926\pi\) |
0.506536 | + | 0.862219i | \(0.330926\pi\) | |||||||
\(338\) | −15.4598 | − | 2.44859i | −0.840901 | − | 0.133186i | ||||
\(339\) | 17.1190 | + | 5.56231i | 0.929777 | + | 0.302103i | ||||
\(340\) | −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 | ||||||||
\(345\) | 0.733107 | − | 4.41164i | 0.0394692 | − | 0.237515i | ||||
\(346\) | 3.09017 | + | 9.51057i | 0.166129 | + | 0.511291i | ||||
\(347\) | 23.9082 | + | 12.1818i | 1.28346 | + | 0.653956i | 0.956679 | − | 0.291144i | \(-0.0940360\pi\) |
0.326781 | + | 0.945100i | \(0.394036\pi\) | |||||||
\(348\) | 4.19758 | + | 26.5025i | 0.225014 | + | 1.42068i | ||||
\(349\) | 25.5834 | − | 18.5874i | 1.36945 | − | 0.994961i | 0.371666 | − | 0.928367i | \(-0.378787\pi\) |
0.997780 | − | 0.0665943i | \(-0.0212133\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25.2982i | 1.35032i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −21.0000 | + | 21.0000i | −1.11772 | + | 1.11772i | −0.125642 | + | 0.992076i | \(0.540099\pi\) |
−0.992076 | + | 0.125642i | \(0.959901\pi\) | |||||||
\(354\) | 5.86319 | − | 18.0450i | 0.311625 | − | 0.959082i | ||||
\(355\) | −8.24199 | + | 15.8767i | −0.437439 | + | 0.842648i | ||||
\(356\) | 14.5623 | + | 10.5801i | 0.771801 | + | 0.560746i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.06061 | + | 7.96940i | −0.214610 | + | 0.421196i | ||||
\(359\) | −15.3500 | − | 11.1524i | −0.810143 | − | 0.588603i | 0.103729 | − | 0.994606i | \(-0.466923\pi\) |
−0.913872 | + | 0.406002i | \(0.866923\pi\) | |||||||
\(360\) | −1.50894 | − | 4.76687i | −0.0795282 | − | 0.251236i | ||||
\(361\) | 6.48936 | − | 19.9722i | 0.341545 | − | 1.05117i | ||||
\(362\) | −12.6491 | + | 12.6491i | −0.664822 | + | 0.664822i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.93910 | + | 8.04532i | −0.310867 | + | 0.421111i | ||||
\(366\) | −16.1803 | + | 11.7557i | −0.845760 | + | 0.614481i | ||||
\(367\) | −0.663695 | − | 4.19041i | −0.0346446 | − | 0.218737i | 0.964292 | − | 0.264841i | \(-0.0853195\pi\) |
−0.998937 | + | 0.0461037i | \(0.985320\pi\) | |||||||
\(368\) | −1.26007 | − | 0.642040i | −0.0656859 | − | 0.0334686i | ||||
\(369\) | −1.95440 | − | 6.01501i | −0.101742 | − | 0.313129i | ||||
\(370\) | 20.9262 | + | 3.47743i | 1.08790 | + | 0.180783i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.56044 | − | 3.85224i | 0.391991 | − | 0.199729i | ||||
\(373\) | 3.16228 | + | 3.16228i | 0.163737 | + | 0.163737i | 0.784220 | − | 0.620483i | \(-0.213063\pi\) |
−0.620483 | + | 0.784220i | \(0.713063\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −9.00000 | − | 13.0000i | −0.464758 | − | 0.671317i | ||||
\(376\) | −9.02251 | − | 2.93159i | −0.465301 | − | 0.151185i | ||||
\(377\) | −27.9360 | − | 4.42463i | −1.43878 | − | 0.227880i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.7275 | − | 8.03444i | 1.27016 | − | 0.412702i | 0.405059 | − | 0.914291i | \(-0.367251\pi\) |
0.865106 | + | 0.501589i | \(0.167251\pi\) | |||||||
\(380\) | −30.2269 | + | 29.7714i | −1.55061 | + | 1.52724i | ||||
\(381\) | −7.43496 | + | 10.2333i | −0.380905 | + | 0.524270i | ||||
\(382\) | −7.69556 | + | 48.5878i | −0.393739 | + | 2.48597i | ||||
\(383\) | −12.1988 | − | 23.9414i | −0.623327 | − | 1.22335i | −0.959543 | − | 0.281563i | \(-0.909147\pi\) |
0.336216 | − | 0.941785i | \(-0.390853\pi\) | |||||||
\(384\) | 22.1359 | 1.12962 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 50.0000 | 2.54493 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.64587 | − | 29.3328i | 0.235858 | − | 1.48915i | ||||
\(389\) | −9.40456 | + | 12.9443i | −0.476830 | + | 0.656301i | −0.977892 | − | 0.209111i | \(-0.932943\pi\) |
0.501062 | + | 0.865412i | \(0.332943\pi\) | |||||||
\(390\) | −31.6219 | − | 0.240055i | −1.60124 | − | 0.0121557i | ||||
\(391\) | 6.01501 | − | 1.95440i | 0.304192 | − | 0.0988380i | ||||
\(392\) | −15.4598 | + | 2.44859i | −0.780836 | + | 0.123672i | ||||
\(393\) | 17.6683 | + | 2.79838i | 0.891248 | + | 0.141160i | ||||
\(394\) | −9.51057 | − | 3.09017i | −0.479135 | − | 0.155681i | ||||
\(395\) | 12.6491 | − | 6.32456i | 0.636446 | − | 0.318223i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.0000 | + | 13.0000i | 0.652451 | + | 0.652451i | 0.953583 | − | 0.301131i | \(-0.0973643\pi\) |
−0.301131 | + | 0.953583i | \(0.597364\pi\) | |||||||
\(398\) | −11.9541 | + | 6.09092i | −0.599205 | + | 0.305310i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.77819 | + | 1.47271i | −0.238910 | + | 0.0736356i | ||||
\(401\) | 3.70820 | + | 11.4127i | 0.185179 | + | 0.569922i | 0.999951 | − | 0.00985880i | \(-0.00313820\pi\) |
−0.814773 | + | 0.579781i | \(0.803138\pi\) | |||||||
\(402\) | −11.9541 | − | 6.09092i | −0.596217 | − | 0.303788i | ||||
\(403\) | 1.39919 | + | 8.83415i | 0.0696987 | + | 0.440061i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.66511 | + | 11.0557i | 0.0827401 | + | 0.549360i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −10.0000 | + | 10.0000i | −0.495074 | + | 0.495074i | ||||
\(409\) | −3.90879 | + | 12.0300i | −0.193277 | + | 0.594846i | 0.806715 | + | 0.590941i | \(0.201243\pi\) |
−0.999992 | + | 0.00390565i | \(0.998757\pi\) | |||||||
\(410\) | 30.1484 | − | 9.54339i | 1.48892 | − | 0.471314i | ||||
\(411\) | 21.0344 | + | 15.2824i | 1.03755 | + | 0.753826i | ||||
\(412\) | 17.3351 | − | 34.0220i | 0.854037 | − | 1.67614i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.55834 | + | 1.85874i | 0.125735 | + | 0.0913521i | ||||
\(415\) | −19.0675 | + | 6.03577i | −0.935987 | + | 0.296284i | ||||
\(416\) | −9.27051 | + | 28.5317i | −0.454524 | + | 1.39888i | ||||
\(417\) | −12.6491 | + | 12.6491i | −0.619430 | + | 0.619430i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 36.0000i | − | 1.75872i | −0.476162 | − | 0.879358i | \(-0.657972\pi\) | ||
0.476162 | − | 0.879358i | \(-0.342028\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.6525 | − | 16.4580i | 1.10401 | − | 0.802113i | 0.122304 | − | 0.992493i | \(-0.460972\pi\) |
0.981711 | + | 0.190380i | \(0.0609719\pi\) | |||||||
\(422\) | −8.84927 | − | 55.8721i | −0.430776 | − | 2.71981i | ||||
\(423\) | −3.78022 | − | 1.92612i | −0.183801 | − | 0.0936511i | ||||
\(424\) | 0.977198 | + | 3.00750i | 0.0474569 | + | 0.146057i | ||||
\(425\) | 10.4528 | − | 19.7671i | 0.507037 | − | 0.958845i | ||||
\(426\) | 14.8699 | + | 20.4667i | 0.720450 | + | 0.991614i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −18.0450 | − | 5.86319i | −0.869198 | − | 0.282420i | −0.159733 | − | 0.987160i | \(-0.551063\pi\) |
−0.709465 | + | 0.704741i | \(0.751063\pi\) | |||||||
\(432\) | 5.58721 | + | 0.884927i | 0.268815 | + | 0.0425761i | ||||
\(433\) | 1.39680 | − | 0.221232i | 0.0671260 | − | 0.0106317i | −0.122781 | − | 0.992434i | \(-0.539181\pi\) |
0.189907 | + | 0.981802i | \(0.439181\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −19.9994 | − | 0.151824i | −0.958899 | − | 0.00727942i | ||||
\(436\) | 22.3049 | − | 30.7000i | 1.06821 | − | 1.47027i | ||||
\(437\) | 1.39919 | − | 8.83415i | 0.0669324 | − | 0.422595i | ||||
\(438\) | 6.42040 | + | 12.6007i | 0.306778 | + | 0.602086i | ||||
\(439\) | 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 | ||||||||
\(442\) | −20.3031 | − | 39.8470i | −0.965719 | − | 1.89533i | ||||
\(443\) | 2.43355 | − | 15.3648i | 0.115621 | − | 0.730005i | −0.859959 | − | 0.510363i | \(-0.829511\pi\) |
0.975581 | − | 0.219642i | \(-0.0704889\pi\) | |||||||
\(444\) | 10.5801 | − | 14.5623i | 0.502111 | − | 0.691096i | ||||
\(445\) | −9.55858 | + | 9.41454i | −0.453120 | + | 0.446292i | ||||
\(446\) | −33.0826 | + | 10.7492i | −1.56650 | + | 0.508988i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.70634 | − | 1.85410i | −0.269299 | − | 0.0875005i | 0.171255 | − | 0.985227i | \(-0.445218\pi\) |
−0.440554 | + | 0.897726i | \(0.645218\pi\) | |||||||
\(450\) | 11.0680 | − | 1.58114i | 0.521749 | − | 0.0745356i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −27.0000 | − | 27.0000i | −1.26997 | − | 1.26997i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −11.7557 | − | 16.1803i | −0.551723 | − | 0.759381i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.18034 | + | 19.0211i | 0.289421 | + | 0.890746i | ||||
\(457\) | −19.9235 | − | 10.1515i | −0.931983 | − | 0.474869i | −0.0790387 | − | 0.996872i | \(-0.525185\pi\) |
−0.852944 | + | 0.522003i | \(0.825185\pi\) | |||||||
\(458\) | −1.39919 | − | 8.83415i | −0.0653800 | − | 0.412793i | ||||
\(459\) | −20.4667 | + | 14.8699i | −0.955303 | + | 0.694068i | ||||
\(460\) | −5.63432 | + | 7.63246i | −0.262702 | + | 0.355865i | ||||
\(461\) | 25.2982i | 1.17826i | 0.808040 | + | 0.589128i | \(0.200529\pi\) | ||||
−0.808040 | + | 0.589128i | \(0.799471\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.00000 | − | 9.00000i | 0.418265 | − | 0.418265i | −0.466340 | − | 0.884606i | \(-0.654428\pi\) |
0.884606 | + | 0.466340i | \(0.154428\pi\) | |||||||
\(464\) | −1.95440 | + | 6.01501i | −0.0907305 | + | 0.279240i | ||||
\(465\) | 1.90868 | + | 6.02967i | 0.0885128 | + | 0.279619i | ||||
\(466\) | −24.2705 | − | 17.6336i | −1.12431 | − | 0.816859i | ||||
\(467\) | 4.49428 | − | 8.82051i | 0.207970 | − | 0.408165i | −0.763334 | − | 0.646004i | \(-0.776439\pi\) |
0.971305 | + | 0.237839i | \(0.0764391\pi\) | |||||||
\(468\) | 6.09092 | − | 11.9541i | 0.281553 | − | 0.552579i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.77380 | − | 18.8275i | 0.450832 | − | 0.868446i | ||||
\(471\) | 4.32624 | − | 13.3148i | 0.199343 | − | 0.613513i | ||||
\(472\) | −9.48683 | + | 9.48683i | −0.436667 | + | 0.436667i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | − | 20.0000i | − | 0.918630i | ||||||
\(475\) | −18.1969 | − | 25.8626i | −0.834929 | − | 1.18666i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0.221232 | + | 1.39680i | 0.0101295 | + | 0.0639552i | ||||
\(478\) | −37.8022 | − | 19.2612i | −1.72903 | − | 0.880986i | ||||
\(479\) | −1.95440 | − | 6.01501i | −0.0892986 | − | 0.274833i | 0.896427 | − | 0.443191i | \(-0.146154\pi\) |
−0.985726 | + | 0.168358i | \(0.946154\pi\) | |||||||
\(480\) | −3.47743 | + | 20.9262i | −0.158722 | + | 0.955148i | ||||
\(481\) | 11.1524 | + | 15.3500i | 0.508508 | + | 0.699901i | ||||
\(482\) | 12.6007 | − | 6.42040i | 0.573948 | − | 0.292441i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 21.0000 | + | 7.00000i | 0.953561 | + | 0.317854i | ||||
\(486\) | −21.0525 | − | 6.84038i | −0.954962 | − | 0.310286i | ||||
\(487\) | −4.19041 | − | 0.663695i | −0.189885 | − | 0.0300749i | 0.0607673 | − | 0.998152i | \(-0.480645\pi\) |
−0.250653 | + | 0.968077i | \(0.580645\pi\) | |||||||
\(488\) | 13.9680 | − | 2.21232i | 0.632303 | − | 0.100147i | ||||
\(489\) | 1.90211 | − | 0.618034i | 0.0860165 | − | 0.0279485i | ||||
\(490\) | 0.265693 | − | 34.9990i | 0.0120028 | − | 1.58109i | ||||
\(491\) | 3.71748 | − | 5.11667i | 0.167768 | − | 0.230912i | −0.716852 | − | 0.697225i | \(-0.754418\pi\) |
0.884620 | + | 0.466313i | \(0.154418\pi\) | |||||||
\(492\) | 4.19758 | − | 26.5025i | 0.189241 | − | 1.19482i | ||||
\(493\) | −12.8408 | − | 25.2015i | −0.578320 | − | 1.13502i | ||||
\(494\) | −63.2456 | −2.84555 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.00000 | 0.0898027 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −4.42463 | + | 27.9360i | −0.198273 | + | 1.25184i | ||||
\(499\) | 19.9847 | − | 27.5066i | 0.894638 | − | 1.23136i | −0.0775090 | − | 0.996992i | \(-0.524697\pi\) |
0.972147 | − | 0.234372i | \(-0.0753033\pi\) | |||||||
\(500\) | 4.49122 | + | 33.2390i | 0.200854 | + | 1.48649i | ||||
\(501\) | −24.0600 | + | 7.81758i | −1.07492 | + | 0.349264i | ||||
\(502\) | −26.5025 | + | 4.19758i | −1.18286 | + | 0.187347i | ||||
\(503\) | −8.83415 | − | 1.39919i | −0.393895 | − | 0.0623869i | −0.0436548 | − | 0.999047i | \(-0.513900\pi\) |
−0.350241 | + | 0.936660i | \(0.613900\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.00000 | − | 7.00000i | −0.310881 | − | 0.310881i | ||||
\(508\) | 23.9082 | − | 12.1818i | 1.06076 | − | 0.540482i | ||||
\(509\) | −2.35114 | − | 3.23607i | −0.104212 | − | 0.143436i | 0.753726 | − | 0.657189i | \(-0.228255\pi\) |
−0.857938 | + | 0.513753i | \(0.828255\pi\) | |||||||
\(510\) | −18.3927 | − | 25.7237i | −0.814441 | − | 1.13907i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 9.96176 | + | 5.07577i | 0.440252 | + | 0.224319i | ||||
\(513\) | 5.59677 | + | 35.3366i | 0.247103 | + | 1.56015i | ||||
\(514\) | 17.9084 | − | 13.0112i | 0.789904 | − | 0.573899i | ||||
\(515\) | 22.8974 | + | 16.9030i | 1.00898 | + | 0.744834i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.95440 | + | 6.01501i | −0.0857884 | + | 0.264030i | ||||
\(520\) | 19.8459 | + | 10.3025i | 0.870299 | + | 0.451794i | ||||
\(521\) | 22.6525 | + | 16.4580i | 0.992423 | + | 0.721038i | 0.960450 | − | 0.278451i | \(-0.0898211\pi\) |
0.0319726 | + | 0.999489i | \(0.489821\pi\) | |||||||
\(522\) | 6.42040 | − | 12.6007i | 0.281013 | − | 0.551519i | ||||
\(523\) | −12.1818 | + | 23.9082i | −0.532675 | + | 1.04543i | 0.455230 | + | 0.890374i | \(0.349557\pi\) |
−0.987905 | + | 0.155059i | \(0.950443\pi\) | |||||||
\(524\) | −30.7000 | − | 22.3049i | −1.34114 | − | 0.974393i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −18.5410 | + | 57.0634i | −0.808427 | + | 2.48808i | ||||
\(527\) | −6.32456 | + | 6.32456i | −0.275502 | + | 0.275502i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.0000i | 0.913043i | ||||||||
\(530\) | −6.99221 | + | 1.05311i | −0.303722 | + | 0.0457442i | ||||
\(531\) | −4.85410 | + | 3.52671i | −0.210650 | + | 0.153046i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 25.2015 | + | 12.8408i | 1.09160 | + | 0.556196i | ||||
\(534\) | 5.86319 | + | 18.0450i | 0.253725 | + | 0.780885i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.57622 | + | 7.67501i | 0.240856 | + | 0.331510i | ||||
\(537\) | −5.04029 | + | 2.56816i | −0.217505 | + | 0.110824i | ||||
\(538\) | 37.9473 | + | 37.9473i | 1.63603 | + | 1.63603i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.0000 | − | 36.0000i | 0.516398 | − | 1.54919i | ||||
\(541\) | 36.0901 | + | 11.7264i | 1.55163 | + | 0.504156i | 0.954557 | − | 0.298029i | \(-0.0963291\pi\) |
0.597076 | + | 0.802185i | \(0.296329\pi\) | |||||||
\(542\) | 27.9360 | + | 4.42463i | 1.19996 | + | 0.190054i | ||||
\(543\) | −11.1744 | + | 1.76985i | −0.479540 | + | 0.0759517i | ||||
\(544\) | −28.5317 | + | 9.27051i | −1.22329 | + | 0.397470i | ||||
\(545\) | 19.8476 | + | 20.1512i | 0.850178 | + | 0.863185i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.79838 | − | 17.6683i | 0.119650 | − | 0.755442i | −0.852784 | − | 0.522264i | \(-0.825088\pi\) |
0.972434 | − | 0.233178i | \(-0.0749125\pi\) | |||||||
\(548\) | −25.0395 | − | 49.1429i | −1.06964 | − | 2.09928i | ||||
\(549\) | 6.32456 | 0.269925 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −40.0000 | −1.70406 | ||||||||
\(552\) | 2.03031 | + | 3.98470i | 0.0864156 | + | 0.169600i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −17.6336 | + | 24.2705i | −0.749178 | + | 1.03116i | ||||
\(555\) | 9.41454 | + | 9.55858i | 0.399625 | + | 0.405739i | ||||
\(556\) | 36.0901 | − | 11.7264i | 1.53056 | − | 0.497309i | ||||
\(557\) | 22.0854 | − | 3.49798i | 0.935788 | − | 0.148214i | 0.330126 | − | 0.943937i | \(-0.392909\pi\) |
0.605661 | + | 0.795723i | \(0.292909\pi\) | |||||||
\(558\) | −4.41708 | − | 0.699596i | −0.186990 | − | 0.0296163i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −30.0000 | − | 30.0000i | −1.26547 | − | 1.26547i | ||||
\(563\) | −23.9082 | + | 12.1818i | −1.00761 | + | 0.513403i | −0.878254 | − | 0.478195i | \(-0.841291\pi\) |
−0.129357 | + | 0.991598i | \(0.541291\pi\) | |||||||
\(564\) | −10.5801 | − | 14.5623i | −0.445504 | − | 0.613184i | ||||
\(565\) | 23.1514 | − | 16.5534i | 0.973985 | − | 0.696406i | ||||
\(566\) | −6.18034 | − | 19.0211i | −0.259779 | − | 0.799518i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.79838 | − | 17.6683i | −0.117418 | − | 0.741346i | ||||
\(569\) | −30.7000 | + | 22.3049i | −1.28701 | + | 0.935069i | −0.999741 | − | 0.0227798i | \(-0.992748\pi\) |
−0.287272 | + | 0.957849i | \(0.592748\pi\) | |||||||
\(570\) | −44.2226 | + | 6.66045i | −1.85228 | + | 0.278976i | ||||
\(571\) | − | 44.2719i | − | 1.85272i | −0.376638 | − | 0.926360i | \(-0.622920\pi\) | ||
0.376638 | − | 0.926360i | \(-0.377080\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −22.0000 | + | 22.0000i | −0.919063 | + | 0.919063i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.92351 | − | 5.07533i | −0.205325 | − | 0.211656i | ||||
\(576\) | −10.5172 | − | 7.64121i | −0.438218 | − | 0.318384i | ||||
\(577\) | −14.7669 | + | 28.9817i | −0.614754 | + | 1.20652i | 0.348342 | + | 0.937367i | \(0.386745\pi\) |
−0.963097 | + | 0.269156i | \(0.913255\pi\) | |||||||
\(578\) | 3.04546 | − | 5.97705i | 0.126674 | − | 0.248613i | ||||
\(579\) | 25.5834 | + | 18.5874i | 1.06321 | + | 0.772466i | ||||
\(580\) | 37.6549 | + | 19.5476i | 1.56353 | + | 0.811670i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 22.1359 | − | 22.1359i | 0.917564 | − | 0.917564i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | − | 10.0000i | − | 0.413803i | ||||||
\(585\) | 8.04532 | + | 5.93910i | 0.332633 | + | 0.245551i | ||||
\(586\) | −40.4508 | + | 29.3893i | −1.67101 | + | 1.21406i | ||||
\(587\) | 1.54862 | + | 9.77762i | 0.0639185 | + | 0.403565i | 0.998816 | + | 0.0486476i | \(0.0154911\pi\) |
−0.934898 | + | 0.354918i | \(0.884509\pi\) | |||||||
\(588\) | −26.4615 | − | 13.4828i | −1.09126 | − | 0.556023i | ||||
\(589\) | 3.90879 | + | 12.0300i | 0.161059 | + | 0.495688i | ||||
\(590\) | −17.4488 | − | 24.4037i | −0.718356 | − | 1.00468i | ||||
\(591\) | −3.71748 | − | 5.11667i | −0.152917 | − | 0.210472i | ||||
\(592\) | 3.78022 | − | 1.92612i | 0.155366 | − | 0.0791630i | ||||
\(593\) | −15.8114 | − | 15.8114i | −0.649296 | − | 0.649296i | 0.303527 | − | 0.952823i | \(-0.401836\pi\) |
−0.952823 | + | 0.303527i | \(0.901836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −8.38081 | − | 1.32739i | −0.343004 | − | 0.0543265i | ||||
\(598\) | −13.9680 | + | 2.21232i | −0.571195 | + | 0.0904684i | ||||
\(599\) | 15.2169 | − | 4.94427i | 0.621746 | − | 0.202017i | 0.0188306 | − | 0.999823i | \(-0.494006\pi\) |
0.602915 | + | 0.797805i | \(0.294006\pi\) | |||||||
\(600\) | 14.9616 | + | 5.11372i | 0.610805 | + | 0.208767i | ||||
\(601\) | −18.5874 | + | 25.5834i | −0.758196 | + | 1.04357i | 0.239166 | + | 0.970979i | \(0.423126\pi\) |
−0.997362 | + | 0.0725885i | \(0.976874\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.92612 | + | 3.78022i | 0.0784376 | + | 0.153942i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 20.3031 | + | 39.8470i | 0.824076 | + | 1.61734i | 0.786130 | + | 0.618061i | \(0.212082\pi\) |
0.0379461 | + | 0.999280i | \(0.487918\pi\) | |||||||
\(608\) | −6.63695 | + | 41.9041i | −0.269164 | + | 1.69943i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.240055 | + | 31.6219i | −0.00971956 | + | 1.28033i | ||||
\(611\) | 18.0450 | − | 5.86319i | 0.730024 | − | 0.237199i | ||||
\(612\) | 13.2512 | − | 2.09879i | 0.535649 | − | 0.0848385i | ||||
\(613\) | −39.7537 | − | 6.29637i | −1.60564 | − | 0.254308i | −0.711694 | − | 0.702490i | \(-0.752072\pi\) |
−0.893942 | + | 0.448182i | \(0.852072\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 18.9737 | + | 6.32456i | 0.765092 | + | 0.255031i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.0000 | − | 17.0000i | −0.684394 | − | 0.684394i | 0.276593 | − | 0.960987i | \(-0.410795\pi\) |
−0.960987 | + | 0.276593i | \(0.910795\pi\) | |||||||
\(618\) | 35.8623 | − | 18.2728i | 1.44259 | − | 0.735038i | ||||
\(619\) | 21.1603 | + | 29.1246i | 0.850503 | + | 1.17062i | 0.983752 | + | 0.179534i | \(0.0574591\pi\) |
−0.133249 | + | 0.991083i | \(0.542541\pi\) | |||||||
\(620\) | 2.19932 | − | 13.2349i | 0.0883269 | − | 0.531527i | ||||
\(621\) | 2.47214 | + | 7.60845i | 0.0992034 | + | 0.305317i | ||||
\(622\) | −15.9388 | − | 8.12123i | −0.639088 | − | 0.325632i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −5.11667 | + | 3.71748i | −0.204831 | + | 0.148818i | ||||
\(625\) | −24.9885 | − | 0.759012i | −0.999539 | − | 0.0303605i | ||||
\(626\) | − | 28.4605i | − | 1.13751i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.0000 | + | 21.0000i | −0.837991 | + | 0.837991i | ||||
\(629\) | −5.86319 | + | 18.0450i | −0.233781 | + | 0.719502i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.8885 | − | 18.8091i | −1.03061 | − | 0.748780i | −0.0621766 | − | 0.998065i | \(-0.519804\pi\) |
−0.968430 | + | 0.249286i | \(0.919804\pi\) | |||||||
\(632\) | −6.42040 | + | 12.6007i | −0.255390 | + | 0.501230i | ||||
\(633\) | 16.2425 | − | 31.8776i | 0.645580 | − | 1.26702i | ||||
\(634\) | 43.4917 | + | 31.5986i | 1.72728 | + | 1.25494i | ||||
\(635\) | 6.03577 | + | 19.0675i | 0.239522 | + | 0.756671i | ||||
\(636\) | −1.85410 | + | 5.70634i | −0.0735199 | + | 0.226271i | ||||
\(637\) | 22.1359 | − | 22.1359i | 0.877058 | − | 0.877058i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 8.00000i | − | 0.316475i | ||||||
\(640\) | 20.7868 | − | 28.1586i | 0.821672 | − | 1.11307i | ||||
\(641\) | 6.47214 | − | 4.70228i | 0.255634 | − | 0.185729i | −0.452586 | − | 0.891721i | \(-0.649498\pi\) |
0.708220 | + | 0.705992i | \(0.249498\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −13.8608 | − | 7.06243i | −0.546617 | − | 0.278515i | 0.158796 | − | 0.987311i | \(-0.449239\pi\) |
−0.705413 | + | 0.708796i | \(0.749239\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −37.1748 | − | 51.1667i | −1.46262 | − | 2.01313i | ||||
\(647\) | 16.3810 | − | 8.34651i | 0.644002 | − | 0.328135i | −0.101307 | − | 0.994855i | \(-0.532302\pi\) |
0.745308 | + | 0.666720i | \(0.232302\pi\) | |||||||
\(648\) | −7.90569 | − | 7.90569i | −0.310565 | − | 0.310565i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −30.0000 | + | 40.0000i | −1.17670 | + | 1.56893i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.19041 | − | 0.663695i | −0.164109 | − | 0.0259923i | ||||
\(653\) | 1.39680 | − | 0.221232i | 0.0546611 | − | 0.00865747i | −0.129044 | − | 0.991639i | \(-0.541191\pi\) |
0.183705 | + | 0.982981i | \(0.441191\pi\) | |||||||
\(654\) | 38.0423 | − | 12.3607i | 1.48757 | − | 0.483341i | ||||
\(655\) | 20.1512 | − | 19.8476i | 0.787374 | − | 0.775510i | ||||
\(656\) | 3.71748 | − | 5.11667i | 0.145143 | − | 0.199773i | ||||
\(657\) | 0.699596 | − | 4.41708i | 0.0272938 | − | 0.172327i | ||||
\(658\) | 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 | \(0.195743\pi\) | |||||||
\(662\) | 18.2728 | + | 35.8623i | 0.710191 | + | 1.39383i | ||||
\(663\) | 4.42463 | − | 27.9360i | 0.171839 | − | 1.08495i | ||||
\(664\) | 11.7557 | − | 16.1803i | 0.456210 | − | 0.627919i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −9.02251 | + | 2.93159i | −0.349615 | + | 0.113597i | ||||
\(667\) | −8.83415 | + | 1.39919i | −0.342060 | + | 0.0541769i | ||||
\(668\) | 53.0049 | + | 8.39515i | 2.05082 | + | 0.324818i | ||||
\(669\) | −20.9232 | − | 6.79837i | −0.808939 | − | 0.262840i | ||||
\(670\) | −18.9737 | + | 9.48683i | −0.733017 | + | 0.366508i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −35.8623 | + | 18.2728i | −1.38239 | + | 0.704363i | −0.977684 | − | 0.210083i | \(-0.932627\pi\) |
−0.404707 | + | 0.914446i | \(0.632627\pi\) | |||||||
\(674\) | −17.6336 | − | 24.2705i | −0.679219 | − | 0.934865i | ||||
\(675\) | 25.0036 | + | 13.2219i | 0.962390 | + | 0.508912i | ||||
\(676\) | 6.48936 | + | 19.9722i | 0.249591 | + | 0.768161i | ||||
\(677\) | 11.9541 | + | 6.09092i | 0.459434 | + | 0.234093i | 0.668360 | − | 0.743838i | \(-0.266997\pi\) |
−0.208926 | + | 0.977931i | \(0.566997\pi\) | |||||||
\(678\) | −6.29637 | − | 39.7537i | −0.241810 | − | 1.52673i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 3.33023 | + | 22.1113i | 0.127708 | + | 0.847930i | ||||
\(681\) | − | 12.6491i | − | 0.484715i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 29.0000 | − | 29.0000i | 1.10965 | − | 1.10965i | 0.116459 | − | 0.993196i | \(-0.462846\pi\) |
0.993196 | − | 0.116459i | \(-0.0371542\pi\) | |||||||
\(684\) | 5.86319 | − | 18.0450i | 0.224184 | − | 0.689969i | ||||
\(685\) | 39.1929 | − | 12.4064i | 1.49748 | − | 0.474024i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.56816 | − | 5.04029i | 0.0979813 | − | 0.192299i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.11667 | − | 3.71748i | −0.194930 | − | 0.141625i | ||||
\(690\) | −9.53375 | + | 3.01788i | −0.362944 | + | 0.114889i | ||||
\(691\) | −8.65248 | + | 26.6296i | −0.329156 | + | 1.01304i | 0.640374 | + | 0.768063i | \(0.278779\pi\) |
−0.969530 | + | 0.244974i | \(0.921221\pi\) | |||||||
\(692\) | 9.48683 | − | 9.48683i | 0.360635 | − | 0.360635i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 60.0000i | − | 2.27757i | ||||||
\(695\) | 4.21244 | + | 27.9688i | 0.159787 | + | 1.06092i | ||||
\(696\) | 16.1803 | − | 11.7557i | 0.613314 | − | 0.445599i | ||||
\(697\) | 4.42463 | + | 27.9360i | 0.167595 | + | 1.05815i | ||||
\(698\) | −63.0037 | − | 32.1020i | −2.38472 | − | 1.21508i | ||||
\(699\) | −5.86319 | − | 18.0450i | −0.221766 | − | 0.682526i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.5874 | − | 25.5834i | −0.702036 | − | 0.966270i | −0.999932 | − | 0.0116718i | \(-0.996285\pi\) |
0.297895 | − | 0.954599i | \(-0.403715\pi\) | |||||||
\(702\) | 50.4029 | − | 25.6816i | 1.90234 | − | 0.969289i | ||||
\(703\) | 18.9737 | + | 18.9737i | 0.715605 | + | 0.715605i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.0000 | − | 6.00000i | 0.451946 | − | 0.225973i | ||||
\(706\) | 63.1576 | + | 20.5211i | 2.37697 | + | 0.772324i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −25.1424 | + | 3.98217i | −0.944911 | + | 0.149659i | ||||
\(709\) | 5.70634 | − | 1.85410i | 0.214306 | − | 0.0696323i | −0.199896 | − | 0.979817i | \(-0.564061\pi\) |
0.414202 | + | 0.910185i | \(0.364061\pi\) | |||||||
\(710\) | 39.9988 | + | 0.303649i | 1.50113 | + | 0.0113957i | ||||
\(711\) | −3.71748 | + | 5.11667i | −0.139416 | + | 0.191890i | ||||
\(712\) | 2.09879 | − | 13.2512i | 0.0786554 | − | 0.496611i | ||||
\(713\) | 1.28408 | + | 2.52015i | 0.0480891 | + | 0.0943802i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | −12.1818 | − | 23.9082i | −0.454939 | − | 0.892869i | ||||
\(718\) | −6.63695 | + | 41.9041i | −0.247689 | + | 1.56385i | ||||
\(719\) | 14.1068 | − | 19.4164i | 0.526097 | − | 0.724110i | −0.460433 | − | 0.887695i | \(-0.652306\pi\) |
0.986529 | + | 0.163585i | \(0.0523057\pi\) | |||||||
\(720\) | 1.59310 | − | 1.56909i | 0.0593712 | − | 0.0584766i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −46.3793 | + | 7.34576i | −1.72606 | + | 0.273381i | ||||
\(723\) | 8.83415 | + | 1.39919i | 0.328546 | + | 0.0520365i | ||||
\(724\) | 22.8254 | + | 7.41641i | 0.848298 | + | 0.275629i | ||||
\(725\) | −18.9737 | + | 25.2982i | −0.704664 | + | 0.939552i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.0000 | + | 23.0000i | 0.853023 | + | 0.853023i | 0.990504 | − | 0.137482i | \(-0.0439008\pi\) |
−0.137482 | + | 0.990504i | \(0.543901\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −17.0458 | − | 23.4615i | −0.631325 | − | 0.868944i | ||||
\(730\) | 22.0582 | + | 3.66554i | 0.816410 | + | 0.135668i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 23.9082 | + | 12.1818i | 0.883673 | + | 0.450254i | ||||
\(733\) | −2.09879 | − | 13.2512i | −0.0775205 | − | 0.489445i | −0.995651 | − | 0.0931661i | \(-0.970301\pi\) |
0.918130 | − | 0.396279i | \(-0.129699\pi\) | |||||||
\(734\) | −7.67501 | + | 5.57622i | −0.283290 | + | 0.205822i | ||||
\(735\) | 13.1468 | − | 17.8091i | 0.484925 | − | 0.656897i | ||||
\(736\) | 9.48683i | 0.349689i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −10.0000 | + | 10.0000i | −0.368105 | + | 0.368105i | ||||
\(739\) | 3.90879 | − | 12.0300i | 0.143787 | − | 0.442531i | −0.853066 | − | 0.521803i | \(-0.825260\pi\) |
0.996853 | + | 0.0792718i | \(0.0252595\pi\) | |||||||
\(740\) | −8.58905 | − | 27.1335i | −0.315740 | − | 0.997448i | ||||
\(741\) | −32.3607 | − | 23.5114i | −1.18880 | − | 0.863713i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0 | 0 | −0.891007 | − | 0.453990i | \(-0.850000\pi\) | ||||
0.891007 | + | 0.453990i | \(0.150000\pi\) | |||||||
\(744\) | −5.11667 | − | 3.71748i | −0.187586 | − | 0.136289i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.09017 | − | 9.51057i | 0.113139 | − | 0.348207i | ||||
\(747\) | 6.32456 | − | 6.32456i | 0.231403 | − | 0.231403i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.7642 | + | 31.1282i | −0.612141 | + | 1.13664i | ||||
\(751\) | 6.47214 | − | 4.70228i | 0.236172 | − | 0.171589i | −0.463404 | − | 0.886147i | \(-0.653372\pi\) |
0.699576 | + | 0.714558i | \(0.253372\pi\) | |||||||
\(752\) | −0.663695 | − | 4.19041i | −0.0242025 | − | 0.152808i | ||||
\(753\) | −15.1209 | − | 7.70447i | −0.551036 | − | 0.280767i | ||||
\(754\) | 19.5440 | + | 60.1501i | 0.711749 | + | 2.19054i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.0220 | + | 17.3351i | −1.23655 | + | 0.630054i | −0.945178 | − | 0.326556i | \(-0.894112\pi\) |
−0.291372 | + | 0.956610i | \(0.594112\pi\) | |||||||
\(758\) | −41.1096 | − | 41.1096i | −1.49317 | − | 1.49317i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 30.0000 | + | 10.0000i | 1.08821 | + | 0.362738i | ||||
\(761\) | −36.0901 | − | 11.7264i | −1.30826 | − | 0.425081i | −0.429815 | − | 0.902917i | \(-0.641421\pi\) |
−0.878449 | + | 0.477836i | \(0.841421\pi\) | |||||||
\(762\) | 27.9360 | + | 4.42463i | 1.01202 | + | 0.160288i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 62.7697 | − | 20.3951i | 2.27093 | − | 0.737870i | ||||
\(765\) | −0.0759122 | + | 9.99971i | −0.00274461 | + | 0.361540i | ||||
\(766\) | −35.3161 | + | 48.6084i | −1.27602 | + | 1.75629i | ||||
\(767\) | 4.19758 | − | 26.5025i | 0.151566 | − | 0.956948i | ||||
\(768\) | −5.77836 | − | 11.3407i | −0.208508 | − | 0.409221i | ||||
\(769\) | 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 | ||||||||
\(772\) | −30.4546 | − | 59.7705i | −1.09609 | − | 2.15119i | ||||
\(773\) | 2.43355 | − | 15.3648i | 0.0875287 | − | 0.552634i | −0.904485 | − | 0.426505i | \(-0.859745\pi\) |
0.992014 | − | 0.126129i | \(-0.0402554\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.46255 | + | 3.23420i | 0.339905 | + | 0.116176i | ||||
\(776\) | −21.0525 | + | 6.84038i | −0.755742 | + | 0.245555i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 35.3366 | + | 5.59677i | 1.26688 | + | 0.200654i | ||||
\(779\) | 38.0423 | + | 12.3607i | 1.36301 | + | 0.442867i | ||||
\(780\) | 18.9737 | + | 37.9473i | 0.679366 | + | 1.35873i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −10.0000 | − | 10.0000i | −0.357599 | − | 0.357599i | ||||
\(783\) | 31.8776 | − | 16.2425i | 1.13921 | − | 0.580458i | ||||
\(784\) | −4.11450 | − | 5.66312i | −0.146946 | − | 0.202254i | ||||
\(785\) | −12.8749 | − | 18.0066i | −0.459523 | − | 0.642683i | ||||
\(786\) | −12.3607 | − | 38.0423i | −0.440891 | − | 1.35692i | ||||
\(787\) | −31.8776 | − | 16.2425i | −1.13631 | − | 0.578981i | −0.218439 | − | 0.975851i | \(-0.570097\pi\) |
−0.917875 | + | 0.396869i | \(0.870097\pi\) | |||||||
\(788\) | 2.09879 | + | 13.2512i | 0.0747662 | + | 0.472056i | ||||
\(789\) | −30.7000 | + | 22.3049i | −1.09295 | + | 0.794075i | ||||
\(790\) | −25.4415 | − | 18.7811i | −0.905169 | − | 0.668201i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −20.0000 | + | 20.0000i | −0.710221 | + | 0.710221i | ||||
\(794\) | 12.7036 | − | 39.0976i | 0.450833 | − | 1.38752i | ||||
\(795\) | −3.96917 | − | 2.06050i | −0.140772 | − | 0.0730783i | ||||
\(796\) | 14.5623 | + | 10.5801i | 0.516147 | + | 0.375003i | ||||
\(797\) | −8.34651 | + | 16.3810i | −0.295649 | + | 0.580243i | −0.990274 | − | 0.139128i | \(-0.955570\pi\) |
0.694626 | + | 0.719371i | \(0.255570\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.3500 | + | 11.1524i | 0.543045 | + | 0.394545i | ||||
\(800\) | 23.3543 | + | 24.0744i | 0.825698 | + | 0.851159i | ||||
\(801\) | 1.85410 | − | 5.70634i | 0.0655115 | − | 0.201624i | ||||
\(802\) | 18.9737 | − | 18.9737i | 0.669983 | − | 0.669983i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 18.0000i | 0.634811i | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 16.1803 | − | 11.7557i | 0.569928 | − | 0.414077i | ||||
\(807\) | 5.30956 | + | 33.5233i | 0.186905 | + | 1.18007i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 5.86319 | + | 18.0450i | 0.206139 | + | 0.634429i | 0.999665 | + | 0.0258932i | \(0.00824298\pi\) |
−0.793526 | + | 0.608536i | \(0.791757\pi\) | |||||||
\(810\) | 20.3364 | − | 14.5407i | 0.714548 | − | 0.510907i | ||||
\(811\) | 3.71748 | + | 5.11667i | 0.130538 | + | 0.179671i | 0.869283 | − | 0.494315i | \(-0.164581\pi\) |
−0.738745 | + | 0.673986i | \(0.764581\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 12.6491 | + | 12.6491i | 0.443624 | + | 0.443624i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.00000 | − | 3.00000i | 0.0350285 | − | 0.105085i | ||||
\(816\) | −6.01501 | − | 1.95440i | −0.210567 | − | 0.0684175i | ||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 27.9360 | − | 4.42463i | 0.976761 | − | 0.154704i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −29.7714 | − | 30.2269i | −1.03966 | − | 1.05557i | ||||
\(821\) | 11.1524 | − | 15.3500i | 0.389223 | − | 0.535719i | −0.568776 | − | 0.822493i | \(-0.692583\pi\) |
0.957998 | + | 0.286773i | \(0.0925827\pi\) | |||||||
\(822\) | 9.09475 | − | 57.4220i | 0.317216 | − | 2.00282i | ||||
\(823\) | 7.06243 | + | 13.8608i | 0.246181 | + | 0.483157i | 0.980722 | − | 0.195407i | \(-0.0626026\pi\) |
−0.734541 | + | 0.678564i | \(0.762603\pi\) | |||||||
\(824\) | −28.4605 | −0.991468 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 4.06061 | + | 7.96940i | 0.141201 | + | 0.277123i | 0.950767 | − | 0.309906i | \(-0.100297\pi\) |
−0.809566 | + | 0.587029i | \(0.800297\pi\) | |||||||
\(828\) | 0.663695 | − | 4.19041i | 0.0230650 | − | 0.145627i | ||||
\(829\) | −3.52671 | + | 4.85410i | −0.122488 | + | 0.168590i | −0.865857 | − | 0.500291i | \(-0.833226\pi\) |
0.743370 | + | 0.668881i | \(0.233226\pi\) | |||||||
\(830\) | 31.3818 | + | 31.8619i | 1.08928 | + | 1.10594i | ||||
\(831\) | −18.0450 | + | 5.86319i | −0.625975 | + | 0.203392i | ||||
\(832\) | 57.4220 | − | 9.09475i | 1.99075 | − | 0.315304i | ||||
\(833\) | 30.9195 | + | 4.89717i | 1.07130 | + | 0.169677i | ||||
\(834\) | 38.0423 | + | 12.3607i | 1.31730 | + | 0.428015i | ||||
\(835\) | −12.6491 | + | 37.9473i | −0.437741 | + | 1.31322i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.00000 | − | 8.00000i | −0.276520 | − | 0.276520i | ||||
\(838\) | −71.7246 | + | 36.5455i | −2.47769 | + | 1.26244i | ||||
\(839\) | 3.52671 | + | 4.85410i | 0.121756 | + | 0.167582i | 0.865544 | − | 0.500833i | \(-0.166973\pi\) |
−0.743788 | + | 0.668415i | \(0.766973\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.39919 | + | 10.4616i | 0.117213 | + | 0.360746i | ||||
\(842\) | −55.7858 | − | 28.4243i | −1.92251 | − | 0.979566i | ||||
\(843\) | −4.19758 | − | 26.5025i | −0.144572 | − | 0.912793i | ||||
\(844\) | −61.4001 | + | 44.6098i | −2.11348 | + | 1.53553i | ||||
\(845\) | −15.4779 | + | 2.33116i | −0.532456 | + | 0.0801943i | ||||
\(846\) | 9.48683i | 0.326164i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.00000 | + | 1.00000i | −0.0343401 | + | 0.0343401i | ||||
\(849\) | 3.90879 | − | 12.0300i | 0.134149 | − | 0.412869i | ||||
\(850\) | −49.9942 | − | 0.759100i | −1.71479 | − | 0.0260369i | ||||
\(851\) | 4.85410 | + | 3.52671i | 0.166396 | + | 0.120894i | ||||
\(852\) | 15.4089 | − | 30.2418i | 0.527902 | − | 1.03607i | ||||
\(853\) | 6.09092 | − | 11.9541i | 0.208549 | − | 0.409301i | −0.762911 | − | 0.646504i | \(-0.776231\pi\) |
0.971460 | + | 0.237203i | \(0.0762306\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.5516 | + | 6.51587i | 0.429257 | + | 0.222838i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15.8114 | − | 15.8114i | 0.540107 | − | 0.540107i | −0.383453 | − | 0.923560i | \(-0.625265\pi\) |
0.923560 | + | 0.383453i | \(0.125265\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.0000i | 1.50126i | 0.660722 | + | 0.750630i | \(0.270250\pi\) | ||||
−0.660722 | + | 0.750630i | \(0.729750\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.63695 | + | 41.9041i | 0.226055 | + | 1.42726i | ||||
\(863\) | −1.26007 | − | 0.642040i | −0.0428934 | − | 0.0218553i | 0.432412 | − | 0.901676i | \(-0.357663\pi\) |
−0.475306 | + | 0.879821i | \(0.657663\pi\) | |||||||
\(864\) | −11.7264 | − | 36.0901i | −0.398939 | − | 1.22781i | ||||
\(865\) | 5.81627 | + | 8.13456i | 0.197759 | + | 0.276583i | ||||
\(866\) | −1.85874 | − | 2.55834i | −0.0631626 | − | 0.0869358i | ||||
\(867\) | 3.78022 | − | 1.92612i | 0.128383 | − | 0.0654144i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 20.0000 | + | 40.0000i | 0.678064 | + | 1.35613i | ||||
\(871\) | −18.0450 | − | 5.86319i | −0.611432 | − | 0.198666i | ||||
\(872\) | −27.9360 | − | 4.42463i | −0.946034 | − | 0.149837i | ||||
\(873\) | −9.77762 | + | 1.54862i | −0.330922 | + | 0.0524129i | ||||
\(874\) | −19.0211 | + | 6.18034i | −0.643399 | + | 0.209053i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 11.1524 | − | 15.3500i | 0.376806 | − | 0.518629i | ||||
\(877\) | −9.09475 | + | 57.4220i | −0.307108 | + | 1.93900i | 0.0351127 | + | 0.999383i | \(0.488821\pi\) |
−0.342221 | + | 0.939620i | \(0.611179\pi\) | |||||||
\(878\) | −12.8408 | − | 25.2015i | −0.433356 | − | 0.850508i | ||||
\(879\) | −31.6228 | −1.06661 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.00000 | 0.0673817 | 0.0336909 | − | 0.999432i | \(-0.489274\pi\) | ||||
0.0336909 | + | 0.999432i | \(0.489274\pi\) | |||||||
\(882\) | 7.10608 | + | 13.9465i | 0.239274 | + | 0.469602i | ||||
\(883\) | −4.20340 | + | 26.5392i | −0.141456 | + | 0.893117i | 0.810245 | + | 0.586091i | \(0.199334\pi\) |
−0.951701 | + | 0.307026i | \(0.900666\pi\) | |||||||
\(884\) | −35.2671 | + | 48.5410i | −1.18616 | + | 1.63261i | ||||
\(885\) | 0.144033 | − | 18.9731i | 0.00484162 | − | 0.637774i | ||||
\(886\) | −33.0826 | + | 10.7492i | −1.11143 | + | 0.361126i | ||||
\(887\) | −8.83415 | + | 1.39919i | −0.296622 | + | 0.0469803i | −0.302972 | − | 0.953000i | \(-0.597979\pi\) |
0.00634986 | + | 0.999980i | \(0.497979\pi\) | |||||||
\(888\) | −13.2512 | − | 2.09879i | −0.444682 | − | 0.0704307i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 28.4605 | + | 9.48683i | 0.953998 | + | 0.317999i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 33.0000 | + | 33.0000i | 1.10492 | + | 1.10492i | ||||
\(893\) | 23.9082 | − | 12.1818i | 0.800058 | − | 0.407650i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.46621 | + | 8.82328i | −0.0490101 | + | 0.294930i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −7.96940 | − | 4.06061i | −0.266091 | − | 0.135580i | ||||
\(898\) | 2.09879 | + | 13.2512i | 0.0700375 | + | 0.442199i | ||||
\(899\) | 10.2333 | − | 7.43496i | 0.341301 | − | 0.247970i | ||||
\(900\) | −8.63153 | − | 12.2677i | −0.287718 | − | 0.408924i | ||||
\(901\) | − | 6.32456i | − | 0.210701i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −8.79478 | + | 27.0675i | −0.292510 | + | 0.900253i | ||||
\(905\) | −8.24199 | + | 15.8767i | −0.273973 | + | 0.527759i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.9147 | − | 21.4212i | 0.362416 | − | 0.711281i | −0.635745 | − | 0.771899i | \(-0.719307\pi\) |
0.998161 | + | 0.0606180i | \(0.0193071\pi\) | |||||||
\(908\) | −12.1818 | + | 23.9082i | −0.404269 | + | 0.793422i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 12.9787 | − | 39.9444i | 0.430004 | − | 1.32342i | −0.468117 | − | 0.883667i | \(-0.655067\pi\) |
0.898121 | − | 0.439749i | \(-0.144933\pi\) | |||||||
\(912\) | −6.32456 | + | 6.32456i | −0.209427 | + | 0.209427i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 50.0000i | 1.65385i | ||||||||
\(915\) | −11.8782 | + | 16.0906i | −0.392681 | + | 0.531940i | ||||
\(916\) | −9.70820 | + | 7.05342i | −0.320768 | + | 0.233052i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 50.4029 | + | 25.6816i | 1.66354 | + | 0.847618i | ||||
\(919\) | 11.7264 | + | 36.0901i | 0.386817 | + | 1.19050i | 0.935153 | + | 0.354243i | \(0.115261\pi\) |
−0.548336 | + | 0.836258i | \(0.684739\pi\) | |||||||
\(920\) | 6.97541 | + | 1.15914i | 0.229973 | + | 0.0382158i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 50.4029 | − | 25.6816i | 1.65993 | − | 0.845778i | ||||
\(923\) | 25.2982 | + | 25.2982i | 0.832701 | + | 0.832701i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.0000 | − | 3.00000i | 0.690476 | − | 0.0986394i | ||||
\(926\) | −27.0675 | − | 8.79478i | −0.889495 | − | 0.289014i | ||||
\(927\) | −12.5712 | − | 1.99109i | −0.412893 | − | 0.0653958i | ||||
\(928\) | 41.9041 | − | 6.63695i | 1.37557 | − | 0.217869i | ||||
\(929\) | −3.80423 | + | 1.23607i | −0.124813 | + | 0.0405541i | −0.370757 | − | 0.928730i | \(-0.620902\pi\) |
0.245945 | + | 0.969284i | \(0.420902\pi\) | |||||||
\(930\) | 10.0756 | − | 9.92380i | 0.330393 | − | 0.325414i | ||||
\(931\) | 26.0224 | − | 35.8167i | 0.852848 | − | 1.17385i | ||||
\(932\) | −6.29637 | + | 39.7537i | −0.206244 | + | 1.30218i | ||||
\(933\) | −5.13632 | − | 10.0806i | −0.168155 | − | 0.330024i | ||||
\(934\) | −22.1359 | −0.724310 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −10.0000 | −0.326860 | ||||||||
\(937\) | 6.09092 | + | 11.9541i | 0.198982 | + | 0.390524i | 0.968839 | − | 0.247693i | \(-0.0796724\pi\) |
−0.769857 | + | 0.638217i | \(0.779672\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.5801 | − | 14.5623i | 0.345270 | − | 0.475223i | ||||
\(940\) | −28.4597 | − | 0.216050i | −0.928252 | − | 0.00704677i | ||||
\(941\) | −36.0901 | + | 11.7264i | −1.17650 | + | 0.382269i | −0.831066 | − | 0.556174i | \(-0.812269\pi\) |
−0.345436 | + | 0.938442i | \(0.612269\pi\) | |||||||
\(942\) | −30.9195 | + | 4.89717i | −1.00741 | + | 0.159559i | ||||
\(943\) | 8.83415 | + | 1.39919i | 0.287680 | + | 0.0455640i | ||||
\(944\) | −5.70634 | − | 1.85410i | −0.185726 | − | 0.0603459i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.00000 | − | 7.00000i | −0.227469 | − | 0.227469i | 0.584165 | − | 0.811635i | \(-0.301422\pi\) |
−0.811635 | + | 0.584165i | \(0.801422\pi\) | |||||||
\(948\) | −23.9082 | + | 12.1818i | −0.776503 | + | 0.395648i | ||||
\(949\) | 11.7557 | + | 16.1803i | 0.381606 | + | 0.525236i | ||||
\(950\) | −33.0548 | + | 62.5090i | −1.07244 | + | 2.02806i | ||||
\(951\) | 10.5066 | + | 32.3359i | 0.340699 | + | 1.04856i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.09879 | + | 13.2512i | 0.0679864 | + | 0.429249i | 0.998081 | + | 0.0619283i | \(0.0197250\pi\) |
−0.930094 | + | 0.367321i | \(0.880275\pi\) | |||||||
\(954\) | 2.55834 | − | 1.85874i | 0.0828292 | − | 0.0601789i | ||||
\(955\) | 7.32650 | + | 48.6449i | 0.237080 | + | 1.57411i | ||||
\(956\) | 56.9210i | 1.84096i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.0000 | + | 10.0000i | −0.323085 | + | 0.323085i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 39.1929 | − | 12.4064i | 1.26494 | − | 0.400415i | ||||
\(961\) | 21.8435 | + | 15.8702i | 0.704628 | + | 0.511942i | ||||
\(962\) | 19.2612 | − | 37.8022i | 0.621006 | − | 1.21879i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.3500 | − | 11.1524i | −0.494391 | − | 0.359196i | ||||
\(965\) | 47.6687 | − | 15.0894i | 1.53451 | − | 0.485746i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.9737 | + | 18.9737i | −0.610152 | + | 0.610152i | −0.942986 | − | 0.332834i | \(-0.891995\pi\) |
0.332834 | + | 0.942986i | \(0.391995\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 40.0000i | − | 1.28499i | ||||||
\(970\) | −7.37177 | − | 48.9454i | −0.236693 | − | 1.57154i | ||||
\(971\) | −33.9787 | + | 24.6870i | −1.09043 | + | 0.792243i | −0.979472 | − | 0.201582i | \(-0.935392\pi\) |
−0.110957 | + | 0.993825i | \(0.535392\pi\) | |||||||
\(972\) | 4.64587 | + | 29.3328i | 0.149016 | + | 0.940852i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 2.93159 | + | 9.02251i | 0.0939343 | + | 0.289100i | ||||
\(975\) | −30.2199 | + | 9.31425i | −0.967813 | + | 0.298295i | ||||
\(976\) | 3.71748 | + | 5.11667i | 0.118994 | + | 0.163781i | ||||
\(977\) | −21.4212 | + | 10.9147i | −0.685326 | + | 0.349191i | −0.761738 | − | 0.647885i | \(-0.775654\pi\) |
0.0764116 | + | 0.997076i | \(0.475654\pi\) | |||||||
\(978\) | −3.16228 | − | 3.16228i | −0.101118 | − | 0.101118i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −42.0000 | + | 21.0000i | −1.34164 | + | 0.670820i | ||||
\(981\) | −12.0300 | − | 3.90879i | −0.384089 | − | 0.124798i | ||||
\(982\) | −13.9680 | − | 2.21232i | −0.445738 | − | 0.0705979i | ||||
\(983\) | −40.5073 | + | 6.41572i | −1.29198 | + | 0.204630i | −0.764327 | − | 0.644829i | \(-0.776928\pi\) |
−0.527655 | + | 0.849459i | \(0.676928\pi\) | |||||||
\(984\) | −19.0211 | + | 6.18034i | −0.606371 | + | 0.197022i | ||||
\(985\) | −9.99971 | − | 0.0759122i | −0.318617 | − | 0.00241876i | ||||
\(986\) | −37.1748 | + | 51.1667i | −1.18389 | + | 1.62948i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 38.5224 | + | 75.6044i | 1.22556 | + | 2.40530i | ||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −58.0000 | −1.84243 | −0.921215 | − | 0.389053i | \(-0.872802\pi\) | ||||
−0.921215 | + | 0.389053i | \(0.872802\pi\) | |||||||
\(992\) | −6.09092 | − | 11.9541i | −0.193387 | − | 0.379543i | ||||
\(993\) | −3.98217 | + | 25.1424i | −0.126370 | + | 0.797871i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −9.55858 | + | 9.41454i | −0.303027 | + | 0.298461i | ||||
\(996\) | 36.0901 | − | 11.7264i | 1.14356 | − | 0.371564i | ||||
\(997\) | −48.5878 | + | 7.69556i | −1.53879 | + | 0.243721i | −0.867487 | − | 0.497460i | \(-0.834266\pi\) |
−0.671305 | + | 0.741181i | \(0.734266\pi\) | |||||||
\(998\) | −75.0903 | − | 11.8931i | −2.37694 | − | 0.376471i | ||||
\(999\) | −22.8254 | − | 7.41641i | −0.722162 | − | 0.234645i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))