Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [726,2,Mod(487,726)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(726, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("726.487");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 726 = 2 \cdot 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 726.e (of order \(5\), degree \(4\), 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: | \(5.79713918674\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 66) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 565.1 | ||
Root | \(0.809017 - 0.587785i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 726.565 |
Dual form | 726.2.e.k.487.1 |
$q$-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 \(\left(\mathbb{Z}/726\mathbb{Z}\right)^\times\).
\(n\) | \(485\) | \(607\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.309017 | − | 0.951057i | 0.178411 | − | 0.549093i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(6\) | 0.809017 | − | 0.587785i | 0.330280 | − | 0.239962i | ||||
\(7\) | 0.618034 | + | 1.90211i | 0.233595 | + | 0.718931i | 0.997305 | + | 0.0733714i | \(0.0233759\pi\) |
−0.763710 | + | 0.645560i | \(0.776624\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | −0.809017 | − | 0.587785i | −0.269672 | − | 0.195928i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | 3.23607 | + | 2.35114i | 0.897524 | + | 0.652089i | 0.937829 | − | 0.347098i | \(-0.112833\pi\) |
−0.0403050 | + | 0.999187i | \(0.512833\pi\) | |||||||
\(14\) | −0.618034 | + | 1.90211i | −0.165177 | + | 0.508361i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 4.85410 | − | 3.52671i | 1.17729 | − | 0.855353i | 0.185429 | − | 0.982658i | \(-0.440633\pi\) |
0.991864 | + | 0.127304i | \(0.0406325\pi\) | |||||||
\(18\) | −0.309017 | − | 0.951057i | −0.0728360 | − | 0.224166i | ||||
\(19\) | −1.23607 | + | 3.80423i | −0.283573 | + | 0.872749i | 0.703249 | + | 0.710943i | \(0.251732\pi\) |
−0.986823 | + | 0.161806i | \(0.948268\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.00000 | 0.436436 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.00000 | 1.25109 | 0.625543 | − | 0.780189i | \(-0.284877\pi\) | ||||
0.625543 | + | 0.780189i | \(0.284877\pi\) | |||||||
\(24\) | 0.809017 | + | 0.587785i | 0.165140 | + | 0.119981i | ||||
\(25\) | −1.54508 | + | 4.75528i | −0.309017 | + | 0.951057i | ||||
\(26\) | 1.23607 | + | 3.80423i | 0.242413 | + | 0.746070i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −1.61803 | + | 1.17557i | −0.305780 | + | 0.222162i | ||||
\(29\) | 1.85410 | + | 5.70634i | 0.344298 | + | 1.05964i | 0.961958 | + | 0.273196i | \(0.0880806\pi\) |
−0.617660 | + | 0.786445i | \(0.711919\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.47214 | − | 4.70228i | −1.16243 | − | 0.844555i | −0.172347 | − | 0.985036i | \(-0.555135\pi\) |
−0.990083 | + | 0.140482i | \(0.955135\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.00000 | 1.02899 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.309017 | − | 0.951057i | 0.0515028 | − | 0.158509i | ||||
\(37\) | −3.09017 | − | 9.51057i | −0.508021 | − | 1.56353i | −0.795632 | − | 0.605780i | \(-0.792861\pi\) |
0.287611 | − | 0.957747i | \(-0.407139\pi\) | |||||||
\(38\) | −3.23607 | + | 2.35114i | −0.524960 | + | 0.381405i | ||||
\(39\) | 3.23607 | − | 2.35114i | 0.518186 | − | 0.376484i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.85410 | − | 5.70634i | 0.289562 | − | 0.891180i | −0.695432 | − | 0.718592i | \(-0.744787\pi\) |
0.984994 | − | 0.172588i | \(-0.0552131\pi\) | |||||||
\(42\) | 1.61803 | + | 1.17557i | 0.249668 | + | 0.181394i | ||||
\(43\) | 8.00000 | 1.21999 | 0.609994 | − | 0.792406i | \(-0.291172\pi\) | ||||
0.609994 | + | 0.792406i | \(0.291172\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.85410 | + | 3.52671i | 0.715698 | + | 0.519985i | ||||
\(47\) | −1.85410 | + | 5.70634i | −0.270449 | + | 0.832355i | 0.719939 | + | 0.694037i | \(0.244170\pi\) |
−0.990388 | + | 0.138318i | \(0.955830\pi\) | |||||||
\(48\) | 0.309017 | + | 0.951057i | 0.0446028 | + | 0.137273i | ||||
\(49\) | 2.42705 | − | 1.76336i | 0.346722 | − | 0.251908i | ||||
\(50\) | −4.04508 | + | 2.93893i | −0.572061 | + | 0.415627i | ||||
\(51\) | −1.85410 | − | 5.70634i | −0.259626 | − | 0.799047i | ||||
\(52\) | −1.23607 | + | 3.80423i | −0.171412 | + | 0.527551i | ||||
\(53\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.00000 | −0.267261 | ||||||||
\(57\) | 3.23607 | + | 2.35114i | 0.428628 | + | 0.311416i | ||||
\(58\) | −1.85410 | + | 5.70634i | −0.243456 | + | 0.749279i | ||||
\(59\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.47214 | + | 4.70228i | −0.828672 | + | 0.602066i | −0.919183 | − | 0.393830i | \(-0.871150\pi\) |
0.0905112 | + | 0.995895i | \(0.471150\pi\) | |||||||
\(62\) | −2.47214 | − | 7.60845i | −0.313962 | − | 0.966274i | ||||
\(63\) | 0.618034 | − | 1.90211i | 0.0778650 | − | 0.239644i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.00000 | −0.488678 | −0.244339 | − | 0.969690i | \(-0.578571\pi\) | ||||
−0.244339 | + | 0.969690i | \(0.578571\pi\) | |||||||
\(68\) | 4.85410 | + | 3.52671i | 0.588646 | + | 0.427677i | ||||
\(69\) | 1.85410 | − | 5.70634i | 0.223208 | − | 0.686963i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.85410 | + | 3.52671i | −0.576076 | + | 0.418544i | −0.837307 | − | 0.546733i | \(-0.815871\pi\) |
0.261231 | + | 0.965276i | \(0.415871\pi\) | |||||||
\(72\) | 0.809017 | − | 0.587785i | 0.0953436 | − | 0.0692712i | ||||
\(73\) | 0.618034 | + | 1.90211i | 0.0723354 | + | 0.222625i | 0.980688 | − | 0.195580i | \(-0.0626591\pi\) |
−0.908352 | + | 0.418206i | \(0.862659\pi\) | |||||||
\(74\) | 3.09017 | − | 9.51057i | 0.359225 | − | 1.10558i | ||||
\(75\) | 4.04508 | + | 2.93893i | 0.467086 | + | 0.339358i | ||||
\(76\) | −4.00000 | −0.458831 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.00000 | 0.452911 | ||||||||
\(79\) | −11.3262 | − | 8.22899i | −1.27430 | − | 0.925834i | −0.274936 | − | 0.961462i | \(-0.588657\pi\) |
−0.999365 | + | 0.0356284i | \(0.988657\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 4.85410 | − | 3.52671i | 0.536046 | − | 0.389460i | ||||
\(83\) | 9.70820 | − | 7.05342i | 1.06561 | − | 0.774214i | 0.0904951 | − | 0.995897i | \(-0.471155\pi\) |
0.975119 | + | 0.221683i | \(0.0711551\pi\) | |||||||
\(84\) | 0.618034 | + | 1.90211i | 0.0674330 | + | 0.207538i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.47214 | + | 4.70228i | 0.697908 | + | 0.507060i | ||||
\(87\) | 6.00000 | 0.643268 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −6.00000 | −0.635999 | −0.317999 | − | 0.948091i | \(-0.603011\pi\) | ||||
−0.317999 | + | 0.948091i | \(0.603011\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.47214 | + | 7.60845i | −0.259150 | + | 0.797582i | ||||
\(92\) | 1.85410 | + | 5.70634i | 0.193303 | + | 0.594927i | ||||
\(93\) | −6.47214 | + | 4.70228i | −0.671129 | + | 0.487604i | ||||
\(94\) | −4.85410 | + | 3.52671i | −0.500662 | + | 0.363753i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.309017 | + | 0.951057i | −0.0315389 | + | 0.0970668i | ||||
\(97\) | −11.3262 | − | 8.22899i | −1.15001 | − | 0.835528i | −0.161524 | − | 0.986869i | \(-0.551641\pi\) |
−0.988482 | + | 0.151341i | \(0.951641\pi\) | |||||||
\(98\) | 3.00000 | 0.303046 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.00000 | −0.500000 | ||||||||
\(101\) | −4.85410 | − | 3.52671i | −0.483001 | − | 0.350921i | 0.319485 | − | 0.947591i | \(-0.396490\pi\) |
−0.802486 | + | 0.596670i | \(0.796490\pi\) | |||||||
\(102\) | 1.85410 | − | 5.70634i | 0.183583 | − | 0.565012i | ||||
\(103\) | −1.23607 | − | 3.80423i | −0.121793 | − | 0.374842i | 0.871510 | − | 0.490378i | \(-0.163141\pi\) |
−0.993303 | + | 0.115536i | \(0.963141\pi\) | |||||||
\(104\) | −3.23607 | + | 2.35114i | −0.317323 | + | 0.230548i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.70820 | + | 11.4127i | −0.358486 | + | 1.10331i | 0.595475 | + | 0.803374i | \(0.296964\pi\) |
−0.953961 | + | 0.299932i | \(0.903036\pi\) | |||||||
\(108\) | −0.809017 | − | 0.587785i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | −4.00000 | −0.383131 | −0.191565 | − | 0.981480i | \(-0.561356\pi\) | ||||
−0.191565 | + | 0.981480i | \(0.561356\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.0000 | −0.949158 | ||||||||
\(112\) | −1.61803 | − | 1.17557i | −0.152890 | − | 0.111081i | ||||
\(113\) | 5.56231 | − | 17.1190i | 0.523258 | − | 1.61042i | −0.244478 | − | 0.969655i | \(-0.578617\pi\) |
0.767736 | − | 0.640767i | \(-0.221383\pi\) | |||||||
\(114\) | 1.23607 | + | 3.80423i | 0.115768 | + | 0.356298i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −4.85410 | + | 3.52671i | −0.450692 | + | 0.327447i | ||||
\(117\) | −1.23607 | − | 3.80423i | −0.114275 | − | 0.351701i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.70820 | + | 7.05342i | 0.889950 | + | 0.646586i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0 | 0 | ||||||||
\(122\) | −8.00000 | −0.724286 | ||||||||
\(123\) | −4.85410 | − | 3.52671i | −0.437680 | − | 0.317993i | ||||
\(124\) | 2.47214 | − | 7.60845i | 0.222004 | − | 0.683259i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.61803 | − | 1.17557i | 0.144146 | − | 0.104728i | ||||
\(127\) | −11.3262 | + | 8.22899i | −1.00504 | + | 0.730205i | −0.963163 | − | 0.268918i | \(-0.913334\pi\) |
−0.0418779 | + | 0.999123i | \(0.513334\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | 2.47214 | − | 7.60845i | 0.217659 | − | 0.669887i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.00000 | −0.693688 | ||||||||
\(134\) | −3.23607 | − | 2.35114i | −0.279554 | − | 0.203108i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.85410 | + | 5.70634i | 0.158988 | + | 0.489315i | ||||
\(137\) | 14.5623 | − | 10.5801i | 1.24414 | − | 0.903922i | 0.246275 | − | 0.969200i | \(-0.420793\pi\) |
0.997867 | + | 0.0652782i | \(0.0207935\pi\) | |||||||
\(138\) | 4.85410 | − | 3.52671i | 0.413209 | − | 0.300214i | ||||
\(139\) | −1.23607 | − | 3.80423i | −0.104842 | − | 0.322670i | 0.884851 | − | 0.465873i | \(-0.154260\pi\) |
−0.989693 | + | 0.143203i | \(0.954260\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.85410 | + | 3.52671i | 0.408789 | + | 0.297003i | ||||
\(142\) | −6.00000 | −0.503509 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −0.618034 | + | 1.90211i | −0.0511489 | + | 0.157420i | ||||
\(147\) | −0.927051 | − | 2.85317i | −0.0764619 | − | 0.235325i | ||||
\(148\) | 8.09017 | − | 5.87785i | 0.665008 | − | 0.483157i | ||||
\(149\) | 4.85410 | − | 3.52671i | 0.397664 | − | 0.288919i | −0.370925 | − | 0.928663i | \(-0.620959\pi\) |
0.768589 | + | 0.639743i | \(0.220959\pi\) | |||||||
\(150\) | 1.54508 | + | 4.75528i | 0.126156 | + | 0.388267i | ||||
\(151\) | −3.09017 | + | 9.51057i | −0.251474 | + | 0.773959i | 0.743029 | + | 0.669259i | \(0.233388\pi\) |
−0.994504 | + | 0.104700i | \(0.966612\pi\) | |||||||
\(152\) | −3.23607 | − | 2.35114i | −0.262480 | − | 0.190703i | ||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.23607 | + | 2.35114i | 0.259093 | + | 0.188242i | ||||
\(157\) | 0.618034 | − | 1.90211i | 0.0493245 | − | 0.151805i | −0.923361 | − | 0.383934i | \(-0.874569\pi\) |
0.972685 | + | 0.232129i | \(0.0745691\pi\) | |||||||
\(158\) | −4.32624 | − | 13.3148i | −0.344177 | − | 1.05927i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.70820 | + | 11.4127i | 0.292247 | + | 0.899445i | ||||
\(162\) | −0.309017 | + | 0.951057i | −0.0242787 | + | 0.0747221i | ||||
\(163\) | 3.23607 | + | 2.35114i | 0.253468 | + | 0.184156i | 0.707263 | − | 0.706951i | \(-0.249930\pi\) |
−0.453794 | + | 0.891107i | \(0.649930\pi\) | |||||||
\(164\) | 6.00000 | 0.468521 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0000 | 0.931381 | ||||||||
\(167\) | −9.70820 | − | 7.05342i | −0.751243 | − | 0.545810i | 0.144969 | − | 0.989436i | \(-0.453692\pi\) |
−0.896212 | + | 0.443626i | \(0.853692\pi\) | |||||||
\(168\) | −0.618034 | + | 1.90211i | −0.0476824 | + | 0.146751i | ||||
\(169\) | 0.927051 | + | 2.85317i | 0.0713116 | + | 0.219475i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.23607 | − | 2.35114i | 0.247468 | − | 0.179796i | ||||
\(172\) | 2.47214 | + | 7.60845i | 0.188499 | + | 0.580139i | ||||
\(173\) | 1.85410 | − | 5.70634i | 0.140965 | − | 0.433845i | −0.855505 | − | 0.517794i | \(-0.826753\pi\) |
0.996470 | + | 0.0839492i | \(0.0267533\pi\) | |||||||
\(174\) | 4.85410 | + | 3.52671i | 0.367989 | + | 0.267359i | ||||
\(175\) | −10.0000 | −0.755929 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −4.85410 | − | 3.52671i | −0.363830 | − | 0.264338i | ||||
\(179\) | 7.41641 | − | 22.8254i | 0.554328 | − | 1.70605i | −0.143382 | − | 0.989667i | \(-0.545798\pi\) |
0.697710 | − | 0.716380i | \(-0.254202\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.7984 | − | 12.9313i | 1.32294 | − | 0.961174i | 0.323052 | − | 0.946381i | \(-0.395291\pi\) |
0.999891 | − | 0.0147930i | \(-0.00470892\pi\) | |||||||
\(182\) | −6.47214 | + | 4.70228i | −0.479747 | + | 0.348556i | ||||
\(183\) | 2.47214 | + | 7.60845i | 0.182746 | + | 0.562433i | ||||
\(184\) | −1.85410 | + | 5.70634i | −0.136686 | + | 0.420677i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −8.00000 | −0.586588 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −6.00000 | −0.437595 | ||||||||
\(189\) | −1.61803 | − | 1.17557i | −0.117695 | − | 0.0855102i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.56231 | + | 17.1190i | 0.402474 | + | 1.23869i | 0.922986 | + | 0.384834i | \(0.125741\pi\) |
−0.520511 | + | 0.853855i | \(0.674259\pi\) | |||||||
\(192\) | −0.809017 | + | 0.587785i | −0.0583858 | + | 0.0424197i | ||||
\(193\) | −11.3262 | + | 8.22899i | −0.815280 | + | 0.592336i | −0.915357 | − | 0.402644i | \(-0.868091\pi\) |
0.100076 | + | 0.994980i | \(0.468091\pi\) | |||||||
\(194\) | −4.32624 | − | 13.3148i | −0.310606 | − | 0.955946i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.42705 | + | 1.76336i | 0.173361 | + | 0.125954i | ||||
\(197\) | 6.00000 | 0.427482 | 0.213741 | − | 0.976890i | \(-0.431435\pi\) | ||||
0.213741 | + | 0.976890i | \(0.431435\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.00000 | −0.283552 | −0.141776 | − | 0.989899i | \(-0.545281\pi\) | ||||
−0.141776 | + | 0.989899i | \(0.545281\pi\) | |||||||
\(200\) | −4.04508 | − | 2.93893i | −0.286031 | − | 0.207813i | ||||
\(201\) | −1.23607 | + | 3.80423i | −0.0871855 | + | 0.268329i | ||||
\(202\) | −1.85410 | − | 5.70634i | −0.130454 | − | 0.401497i | ||||
\(203\) | −9.70820 | + | 7.05342i | −0.681382 | + | 0.495053i | ||||
\(204\) | 4.85410 | − | 3.52671i | 0.339855 | − | 0.246919i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.23607 | − | 3.80423i | 0.0861209 | − | 0.265053i | ||||
\(207\) | −4.85410 | − | 3.52671i | −0.337383 | − | 0.245123i | ||||
\(208\) | −4.00000 | −0.277350 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.47214 | − | 4.70228i | −0.445560 | − | 0.323718i | 0.342280 | − | 0.939598i | \(-0.388801\pi\) |
−0.787840 | + | 0.615880i | \(0.788801\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.85410 | + | 5.70634i | 0.127041 | + | 0.390992i | ||||
\(214\) | −9.70820 | + | 7.05342i | −0.663639 | + | 0.482162i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.309017 | − | 0.951057i | −0.0210259 | − | 0.0647112i | ||||
\(217\) | 4.94427 | − | 15.2169i | 0.335639 | − | 1.03299i | ||||
\(218\) | −3.23607 | − | 2.35114i | −0.219174 | − | 0.159239i | ||||
\(219\) | 2.00000 | 0.135147 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 24.0000 | 1.61441 | ||||||||
\(222\) | −8.09017 | − | 5.87785i | −0.542977 | − | 0.394496i | ||||
\(223\) | −4.94427 | + | 15.2169i | −0.331093 | + | 1.01900i | 0.637522 | + | 0.770432i | \(0.279960\pi\) |
−0.968615 | + | 0.248567i | \(0.920040\pi\) | |||||||
\(224\) | −0.618034 | − | 1.90211i | −0.0412941 | − | 0.127090i | ||||
\(225\) | 4.04508 | − | 2.93893i | 0.269672 | − | 0.195928i | ||||
\(226\) | 14.5623 | − | 10.5801i | 0.968670 | − | 0.703780i | ||||
\(227\) | −3.70820 | − | 11.4127i | −0.246122 | − | 0.757486i | −0.995450 | − | 0.0952867i | \(-0.969623\pi\) |
0.749328 | − | 0.662199i | \(-0.230377\pi\) | |||||||
\(228\) | −1.23607 | + | 3.80423i | −0.0818606 | + | 0.251941i | ||||
\(229\) | 17.7984 | + | 12.9313i | 1.17615 | + | 0.854523i | 0.991732 | − | 0.128325i | \(-0.0409601\pi\) |
0.184418 | + | 0.982848i | \(0.440960\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.00000 | −0.393919 | ||||||||
\(233\) | 14.5623 | + | 10.5801i | 0.954008 | + | 0.693128i | 0.951752 | − | 0.306870i | \(-0.0992816\pi\) |
0.00225687 | + | 0.999997i | \(0.499282\pi\) | |||||||
\(234\) | 1.23607 | − | 3.80423i | 0.0808043 | − | 0.248690i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −11.3262 | + | 8.22899i | −0.735718 | + | 0.534531i | ||||
\(238\) | 3.70820 | + | 11.4127i | 0.240367 | + | 0.739774i | ||||
\(239\) | −3.70820 | + | 11.4127i | −0.239864 | + | 0.738225i | 0.756575 | + | 0.653907i | \(0.226871\pi\) |
−0.996439 | + | 0.0843180i | \(0.973129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.0000 | −0.644157 | −0.322078 | − | 0.946713i | \(-0.604381\pi\) | ||||
−0.322078 | + | 0.946713i | \(0.604381\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −6.47214 | − | 4.70228i | −0.414336 | − | 0.301033i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −1.85410 | − | 5.70634i | −0.118213 | − | 0.363823i | ||||
\(247\) | −12.9443 | + | 9.40456i | −0.823624 | + | 0.598398i | ||||
\(248\) | 6.47214 | − | 4.70228i | 0.410981 | − | 0.298595i | ||||
\(249\) | −3.70820 | − | 11.4127i | −0.234998 | − | 0.723249i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(252\) | 2.00000 | 0.125988 | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −14.0000 | −0.878438 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −9.27051 | − | 28.5317i | −0.578279 | − | 1.77976i | −0.624734 | − | 0.780838i | \(-0.714792\pi\) |
0.0464552 | − | 0.998920i | \(-0.485208\pi\) | |||||||
\(258\) | 6.47214 | − | 4.70228i | 0.402938 | − | 0.292751i | ||||
\(259\) | 16.1803 | − | 11.7557i | 1.00540 | − | 0.730464i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.85410 | − | 5.70634i | 0.114766 | − | 0.353214i | ||||
\(262\) | −9.70820 | − | 7.05342i | −0.599775 | − | 0.435762i | ||||
\(263\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −6.47214 | − | 4.70228i | −0.396832 | − | 0.288315i | ||||
\(267\) | −1.85410 | + | 5.70634i | −0.113469 | + | 0.349222i | ||||
\(268\) | −1.23607 | − | 3.80423i | −0.0755049 | − | 0.232380i | ||||
\(269\) | 19.4164 | − | 14.1068i | 1.18384 | − | 0.860110i | 0.191240 | − | 0.981543i | \(-0.438749\pi\) |
0.992600 | + | 0.121434i | \(0.0387492\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.618034 | + | 1.90211i | 0.0375429 | + | 0.115545i | 0.968072 | − | 0.250674i | \(-0.0806521\pi\) |
−0.930529 | + | 0.366219i | \(0.880652\pi\) | |||||||
\(272\) | −1.85410 | + | 5.70634i | −0.112421 | + | 0.345998i | ||||
\(273\) | 6.47214 | + | 4.70228i | 0.391711 | + | 0.284595i | ||||
\(274\) | 18.0000 | 1.08742 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.00000 | 0.361158 | ||||||||
\(277\) | 12.9443 | + | 9.40456i | 0.777746 | + | 0.565065i | 0.904302 | − | 0.426894i | \(-0.140392\pi\) |
−0.126556 | + | 0.991959i | \(0.540392\pi\) | |||||||
\(278\) | 1.23607 | − | 3.80423i | 0.0741344 | − | 0.228162i | ||||
\(279\) | 2.47214 | + | 7.60845i | 0.148003 | + | 0.455506i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.85410 | − | 3.52671i | 0.289571 | − | 0.210386i | −0.433510 | − | 0.901149i | \(-0.642725\pi\) |
0.723081 | + | 0.690763i | \(0.242725\pi\) | |||||||
\(282\) | 1.85410 | + | 5.70634i | 0.110410 | + | 0.339808i | ||||
\(283\) | 2.47214 | − | 7.60845i | 0.146953 | − | 0.452276i | −0.850304 | − | 0.526292i | \(-0.823582\pi\) |
0.997257 | + | 0.0740167i | \(0.0235818\pi\) | |||||||
\(284\) | −4.85410 | − | 3.52671i | −0.288038 | − | 0.209272i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.0000 | 0.708338 | ||||||||
\(288\) | 0.809017 | + | 0.587785i | 0.0476718 | + | 0.0346356i | ||||
\(289\) | 5.87132 | − | 18.0701i | 0.345372 | − | 1.06295i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −11.3262 | + | 8.22899i | −0.663956 | + | 0.482392i | ||||
\(292\) | −1.61803 | + | 1.17557i | −0.0946883 | + | 0.0687951i | ||||
\(293\) | −1.85410 | − | 5.70634i | −0.108318 | − | 0.333368i | 0.882177 | − | 0.470918i | \(-0.156077\pi\) |
−0.990495 | + | 0.137550i | \(0.956077\pi\) | |||||||
\(294\) | 0.927051 | − | 2.85317i | 0.0540667 | − | 0.166400i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 10.0000 | 0.581238 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 19.4164 | + | 14.1068i | 1.12288 | + | 0.815820i | ||||
\(300\) | −1.54508 | + | 4.75528i | −0.0892055 | + | 0.274546i | ||||
\(301\) | 4.94427 | + | 15.2169i | 0.284983 | + | 0.877088i | ||||
\(302\) | −8.09017 | + | 5.87785i | −0.465537 | + | 0.338232i | ||||
\(303\) | −4.85410 | + | 3.52671i | −0.278861 | + | 0.202604i | ||||
\(304\) | −1.23607 | − | 3.80423i | −0.0708934 | − | 0.218187i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −4.85410 | − | 3.52671i | −0.277491 | − | 0.201609i | ||||
\(307\) | 20.0000 | 1.14146 | 0.570730 | − | 0.821138i | \(-0.306660\pi\) | ||||
0.570730 | + | 0.821138i | \(0.306660\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.00000 | −0.227552 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −5.56231 | + | 17.1190i | −0.315409 | + | 0.970730i | 0.660176 | + | 0.751111i | \(0.270482\pi\) |
−0.975586 | + | 0.219620i | \(0.929518\pi\) | |||||||
\(312\) | 1.23607 | + | 3.80423i | 0.0699786 | + | 0.215372i | ||||
\(313\) | −21.0344 | + | 15.2824i | −1.18894 | + | 0.863813i | −0.993152 | − | 0.116834i | \(-0.962726\pi\) |
−0.195785 | + | 0.980647i | \(0.562726\pi\) | |||||||
\(314\) | 1.61803 | − | 1.17557i | 0.0913109 | − | 0.0663413i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.32624 | − | 13.3148i | 0.243370 | − | 0.749016i | ||||
\(317\) | −9.70820 | − | 7.05342i | −0.545267 | − | 0.396160i | 0.280770 | − | 0.959775i | \(-0.409410\pi\) |
−0.826037 | + | 0.563615i | \(0.809410\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 9.70820 | + | 7.05342i | 0.541859 | + | 0.393684i | ||||
\(322\) | −3.70820 | + | 11.4127i | −0.206650 | + | 0.636004i | ||||
\(323\) | 7.41641 | + | 22.8254i | 0.412660 | + | 1.27004i | ||||
\(324\) | −0.809017 | + | 0.587785i | −0.0449454 | + | 0.0326547i | ||||
\(325\) | −16.1803 | + | 11.7557i | −0.897524 | + | 0.652089i | ||||
\(326\) | 1.23607 | + | 3.80423i | 0.0684595 | + | 0.210697i | ||||
\(327\) | −1.23607 | + | 3.80423i | −0.0683547 | + | 0.210374i | ||||
\(328\) | 4.85410 | + | 3.52671i | 0.268023 | + | 0.194730i | ||||
\(329\) | −12.0000 | −0.661581 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.00000 | −0.219860 | −0.109930 | − | 0.993939i | \(-0.535063\pi\) | ||||
−0.109930 | + | 0.993939i | \(0.535063\pi\) | |||||||
\(332\) | 9.70820 | + | 7.05342i | 0.532807 | + | 0.387107i | ||||
\(333\) | −3.09017 | + | 9.51057i | −0.169340 | + | 0.521176i | ||||
\(334\) | −3.70820 | − | 11.4127i | −0.202904 | − | 0.624474i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.61803 | + | 1.17557i | −0.0882710 | + | 0.0641326i | ||||
\(337\) | 0.618034 | + | 1.90211i | 0.0336665 | + | 0.103615i | 0.966478 | − | 0.256751i | \(-0.0826520\pi\) |
−0.932811 | + | 0.360366i | \(0.882652\pi\) | |||||||
\(338\) | −0.927051 | + | 2.85317i | −0.0504249 | + | 0.155192i | ||||
\(339\) | −14.5623 | − | 10.5801i | −0.790916 | − | 0.574634i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 4.00000 | 0.216295 | ||||||||
\(343\) | 16.1803 | + | 11.7557i | 0.873656 | + | 0.634748i | ||||
\(344\) | −2.47214 | + | 7.60845i | −0.133289 | + | 0.410220i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.85410 | − | 3.52671i | 0.260958 | − | 0.189597i | ||||
\(347\) | −29.1246 | + | 21.1603i | −1.56349 | + | 1.13594i | −0.630418 | + | 0.776256i | \(0.717117\pi\) |
−0.933073 | + | 0.359687i | \(0.882883\pi\) | |||||||
\(348\) | 1.85410 | + | 5.70634i | 0.0993903 | + | 0.305892i | ||||
\(349\) | −1.23607 | + | 3.80423i | −0.0661652 | + | 0.203636i | −0.978673 | − | 0.205423i | \(-0.934143\pi\) |
0.912508 | + | 0.409059i | \(0.134143\pi\) | |||||||
\(350\) | −8.09017 | − | 5.87785i | −0.432438 | − | 0.314184i | ||||
\(351\) | −4.00000 | −0.213504 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.85410 | − | 5.70634i | −0.0982672 | − | 0.302435i | ||||
\(357\) | 9.70820 | − | 7.05342i | 0.513813 | − | 0.373307i | ||||
\(358\) | 19.4164 | − | 14.1068i | 1.02619 | − | 0.745570i | ||||
\(359\) | −3.70820 | − | 11.4127i | −0.195712 | − | 0.602338i | −0.999968 | − | 0.00805517i | \(-0.997436\pi\) |
0.804256 | − | 0.594283i | \(-0.202564\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.42705 | + | 1.76336i | 0.127740 | + | 0.0928082i | ||||
\(362\) | 22.0000 | 1.15629 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.00000 | −0.419314 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −2.47214 | + | 7.60845i | −0.129221 | + | 0.397700i | ||||
\(367\) | 2.47214 | + | 7.60845i | 0.129044 | + | 0.397158i | 0.994616 | − | 0.103627i | \(-0.0330448\pi\) |
−0.865572 | + | 0.500785i | \(0.833045\pi\) | |||||||
\(368\) | −4.85410 | + | 3.52671i | −0.253038 | + | 0.183843i | ||||
\(369\) | −4.85410 | + | 3.52671i | −0.252694 | + | 0.183593i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −6.47214 | − | 4.70228i | −0.335565 | − | 0.243802i | ||||
\(373\) | 20.0000 | 1.03556 | 0.517780 | − | 0.855514i | \(-0.326758\pi\) | ||||
0.517780 | + | 0.855514i | \(0.326758\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.85410 | − | 3.52671i | −0.250331 | − | 0.181876i | ||||
\(377\) | −7.41641 | + | 22.8254i | −0.381964 | + | 1.17557i | ||||
\(378\) | −0.618034 | − | 1.90211i | −0.0317882 | − | 0.0978341i | ||||
\(379\) | −16.1803 | + | 11.7557i | −0.831128 | + | 0.603850i | −0.919878 | − | 0.392204i | \(-0.871713\pi\) |
0.0887501 | + | 0.996054i | \(0.471713\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.32624 | + | 13.3148i | 0.221640 | + | 0.682137i | ||||
\(382\) | −5.56231 | + | 17.1190i | −0.284592 | + | 0.875885i | ||||
\(383\) | −4.85410 | − | 3.52671i | −0.248033 | − | 0.180207i | 0.456822 | − | 0.889558i | \(-0.348988\pi\) |
−0.704855 | + | 0.709352i | \(0.748988\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.0000 | −0.712581 | ||||||||
\(387\) | −6.47214 | − | 4.70228i | −0.328997 | − | 0.239030i | ||||
\(388\) | 4.32624 | − | 13.3148i | 0.219631 | − | 0.675956i | ||||
\(389\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 29.1246 | − | 21.1603i | 1.47289 | − | 1.07012i | ||||
\(392\) | 0.927051 | + | 2.85317i | 0.0468231 | + | 0.144107i | ||||
\(393\) | −3.70820 | + | 11.4127i | −0.187054 | + | 0.575693i | ||||
\(394\) | 4.85410 | + | 3.52671i | 0.244546 | + | 0.177673i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 26.0000 | 1.30490 | 0.652451 | − | 0.757831i | \(-0.273741\pi\) | ||||
0.652451 | + | 0.757831i | \(0.273741\pi\) | |||||||
\(398\) | −3.23607 | − | 2.35114i | −0.162209 | − | 0.117852i | ||||
\(399\) | −2.47214 | + | 7.60845i | −0.123762 | + | 0.380899i | ||||
\(400\) | −1.54508 | − | 4.75528i | −0.0772542 | − | 0.237764i | ||||
\(401\) | −24.2705 | + | 17.6336i | −1.21201 | + | 0.880578i | −0.995412 | − | 0.0956827i | \(-0.969497\pi\) |
−0.216600 | + | 0.976261i | \(0.569497\pi\) | |||||||
\(402\) | −3.23607 | + | 2.35114i | −0.161400 | + | 0.117264i | ||||
\(403\) | −9.88854 | − | 30.4338i | −0.492583 | − | 1.51602i | ||||
\(404\) | 1.85410 | − | 5.70634i | 0.0922450 | − | 0.283901i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −12.0000 | −0.595550 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 6.00000 | 0.297044 | ||||||||
\(409\) | 27.5066 | + | 19.9847i | 1.36011 | + | 0.988180i | 0.998438 | + | 0.0558755i | \(0.0177950\pi\) |
0.361675 | + | 0.932304i | \(0.382205\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.56231 | − | 17.1190i | −0.274368 | − | 0.844419i | ||||
\(412\) | 3.23607 | − | 2.35114i | 0.159430 | − | 0.115832i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −1.85410 | − | 5.70634i | −0.0911241 | − | 0.280451i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.23607 | − | 2.35114i | −0.158661 | − | 0.115274i | ||||
\(417\) | −4.00000 | −0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.0000 | 1.17248 | 0.586238 | − | 0.810139i | \(-0.300608\pi\) | ||||
0.586238 | + | 0.810139i | \(0.300608\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.09017 | + | 9.51057i | −0.150606 | + | 0.463517i | −0.997689 | − | 0.0679432i | \(-0.978356\pi\) |
0.847084 | + | 0.531460i | \(0.178356\pi\) | |||||||
\(422\) | −2.47214 | − | 7.60845i | −0.120342 | − | 0.370374i | ||||
\(423\) | 4.85410 | − | 3.52671i | 0.236015 | − | 0.171475i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 9.27051 | + | 28.5317i | 0.449686 | + | 1.38399i | ||||
\(426\) | −1.85410 | + | 5.70634i | −0.0898315 | + | 0.276473i | ||||
\(427\) | −12.9443 | − | 9.40456i | −0.626417 | − | 0.455119i | ||||
\(428\) | −12.0000 | −0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0 | 0 | 0.587785 | − | 0.809017i | \(-0.300000\pi\) | ||||
−0.587785 | + | 0.809017i | \(0.700000\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | 8.03444 | + | 24.7275i | 0.386111 | + | 1.18833i | 0.935671 | + | 0.352873i | \(0.114795\pi\) |
−0.549561 | + | 0.835454i | \(0.685205\pi\) | |||||||
\(434\) | 12.9443 | − | 9.40456i | 0.621345 | − | 0.451434i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.23607 | − | 3.80423i | −0.0591969 | − | 0.182189i | ||||
\(437\) | −7.41641 | + | 22.8254i | −0.354775 | + | 1.09188i | ||||
\(438\) | 1.61803 | + | 1.17557i | 0.0773127 | + | 0.0561709i | ||||
\(439\) | −10.0000 | −0.477274 | −0.238637 | − | 0.971109i | \(-0.576701\pi\) | ||||
−0.238637 | + | 0.971109i | \(0.576701\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.00000 | −0.142857 | ||||||||
\(442\) | 19.4164 | + | 14.1068i | 0.923544 | + | 0.670994i | ||||
\(443\) | −7.41641 | + | 22.8254i | −0.352364 | + | 1.08447i | 0.605158 | + | 0.796105i | \(0.293110\pi\) |
−0.957522 | + | 0.288360i | \(0.906890\pi\) | |||||||
\(444\) | −3.09017 | − | 9.51057i | −0.146653 | − | 0.451351i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −12.9443 | + | 9.40456i | −0.612929 | + | 0.445319i | ||||
\(447\) | −1.85410 | − | 5.70634i | −0.0876960 | − | 0.269901i | ||||
\(448\) | 0.618034 | − | 1.90211i | 0.0291994 | − | 0.0898664i | ||||
\(449\) | −4.85410 | − | 3.52671i | −0.229079 | − | 0.166436i | 0.467325 | − | 0.884086i | \(-0.345218\pi\) |
−0.696404 | + | 0.717650i | \(0.745218\pi\) | |||||||
\(450\) | 5.00000 | 0.235702 | ||||||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 18.0000 | 0.846649 | ||||||||
\(453\) | 8.09017 | + | 5.87785i | 0.380109 | + | 0.276166i | ||||
\(454\) | 3.70820 | − | 11.4127i | 0.174035 | − | 0.535624i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.23607 | + | 2.35114i | −0.151543 | + | 0.110102i | ||||
\(457\) | 8.09017 | − | 5.87785i | 0.378442 | − | 0.274954i | −0.382261 | − | 0.924054i | \(-0.624854\pi\) |
0.760703 | + | 0.649100i | \(0.224854\pi\) | |||||||
\(458\) | 6.79837 | + | 20.9232i | 0.317667 | + | 0.977679i | ||||
\(459\) | −1.85410 | + | 5.70634i | −0.0865421 | + | 0.266349i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 42.0000 | 1.95614 | 0.978068 | − | 0.208288i | \(-0.0667892\pi\) | ||||
0.978068 | + | 0.208288i | \(0.0667892\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.00000 | −0.185896 | −0.0929479 | − | 0.995671i | \(-0.529629\pi\) | ||||
−0.0929479 | + | 0.995671i | \(0.529629\pi\) | |||||||
\(464\) | −4.85410 | − | 3.52671i | −0.225346 | − | 0.163723i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.56231 | + | 17.1190i | 0.257669 | + | 0.793023i | ||||
\(467\) | 9.70820 | − | 7.05342i | 0.449242 | − | 0.326393i | −0.340054 | − | 0.940406i | \(-0.610445\pi\) |
0.789296 | + | 0.614012i | \(0.210445\pi\) | |||||||
\(468\) | 3.23607 | − | 2.35114i | 0.149587 | − | 0.108682i | ||||
\(469\) | −2.47214 | − | 7.60845i | −0.114153 | − | 0.351326i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.61803 | − | 1.17557i | −0.0745551 | − | 0.0541674i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −14.0000 | −0.643041 | ||||||||
\(475\) | −16.1803 | − | 11.7557i | −0.742405 | − | 0.539389i | ||||
\(476\) | −3.70820 | + | 11.4127i | −0.169965 | + | 0.523099i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9.70820 | + | 7.05342i | −0.444043 | + | 0.322616i | ||||
\(479\) | 19.4164 | − | 14.1068i | 0.887158 | − | 0.644558i | −0.0479772 | − | 0.998848i | \(-0.515277\pi\) |
0.935136 | + | 0.354290i | \(0.115277\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.3607 | − | 38.0423i | 0.563598 | − | 1.73458i | ||||
\(482\) | −8.09017 | − | 5.87785i | −0.368497 | − | 0.267729i | ||||
\(483\) | 12.0000 | 0.546019 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.809017 | + | 0.587785i | 0.0366978 | + | 0.0266625i | ||||
\(487\) | 6.18034 | − | 19.0211i | 0.280058 | − | 0.861930i | −0.707779 | − | 0.706434i | \(-0.750303\pi\) |
0.987837 | − | 0.155495i | \(-0.0496974\pi\) | |||||||
\(488\) | −2.47214 | − | 7.60845i | −0.111908 | − | 0.344418i | ||||
\(489\) | 3.23607 | − | 2.35114i | 0.146340 | − | 0.106322i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.70820 | + | 11.4127i | 0.167349 | + | 0.515047i | 0.999202 | − | 0.0399494i | \(-0.0127197\pi\) |
−0.831853 | + | 0.554996i | \(0.812720\pi\) | |||||||
\(492\) | 1.85410 | − | 5.70634i | 0.0835894 | − | 0.257262i | ||||
\(493\) | 29.1246 | + | 21.1603i | 1.31171 | + | 0.953011i | ||||
\(494\) | −16.0000 | −0.719874 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 8.00000 | 0.359211 | ||||||||
\(497\) | −9.70820 | − | 7.05342i | −0.435472 | − | 0.316389i | ||||
\(498\) | 3.70820 | − | 11.4127i | 0.166169 | − | 0.511414i | ||||
\(499\) | −1.23607 | − | 3.80423i | −0.0553340 | − | 0.170301i | 0.919570 | − | 0.392926i | \(-0.128537\pi\) |
−0.974904 | + | 0.222626i | \(0.928537\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −9.70820 | + | 7.05342i | −0.433731 | + | 0.315124i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.70820 | − | 11.4127i | 0.165341 | − | 0.508866i | −0.833721 | − | 0.552187i | \(-0.813794\pi\) |
0.999061 | + | 0.0433204i | \(0.0137936\pi\) | |||||||
\(504\) | 1.61803 | + | 1.17557i | 0.0720730 | + | 0.0523641i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 3.00000 | 0.133235 | ||||||||
\(508\) | −11.3262 | − | 8.22899i | −0.502521 | − | 0.365103i | ||||
\(509\) | 7.41641 | − | 22.8254i | 0.328726 | − | 1.01172i | −0.641004 | − | 0.767538i | \(-0.721482\pi\) |
0.969730 | − | 0.244178i | \(-0.0785183\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.23607 | + | 2.35114i | −0.143155 | + | 0.104008i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −1.23607 | − | 3.80423i | −0.0545737 | − | 0.167961i | ||||
\(514\) | 9.27051 | − | 28.5317i | 0.408905 | − | 1.25848i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 8.00000 | 0.352180 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 20.0000 | 0.878750 | ||||||||
\(519\) | −4.85410 | − | 3.52671i | −0.213071 | − | 0.154805i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.56231 | − | 17.1190i | −0.243689 | − | 0.749998i | −0.995849 | − | 0.0910175i | \(-0.970988\pi\) |
0.752160 | − | 0.658980i | \(-0.229012\pi\) | |||||||
\(522\) | 4.85410 | − | 3.52671i | 0.212458 | − | 0.154360i | ||||
\(523\) | 12.9443 | − | 9.40456i | 0.566013 | − | 0.411233i | −0.267641 | − | 0.963519i | \(-0.586244\pi\) |
0.833655 | + | 0.552286i | \(0.186244\pi\) | |||||||
\(524\) | −3.70820 | − | 11.4127i | −0.161994 | − | 0.498565i | ||||
\(525\) | −3.09017 | + | 9.51057i | −0.134866 | + | 0.415075i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −48.0000 | −2.09091 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.0000 | 0.565217 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.47214 | − | 7.60845i | −0.107181 | − | 0.329868i | ||||
\(533\) | 19.4164 | − | 14.1068i | 0.841018 | − | 0.611035i | ||||
\(534\) | −4.85410 | + | 3.52671i | −0.210058 | + | 0.152616i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.23607 | − | 3.80423i | 0.0533900 | − | 0.164318i | ||||
\(537\) | −19.4164 | − | 14.1068i | −0.837880 | − | 0.608755i | ||||
\(538\) | 24.0000 | 1.03471 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16.1803 | − | 11.7557i | −0.695647 | − | 0.505417i | 0.182865 | − | 0.983138i | \(-0.441463\pi\) |
−0.878512 | + | 0.477721i | \(0.841463\pi\) | |||||||
\(542\) | −0.618034 | + | 1.90211i | −0.0265468 | + | 0.0817028i | ||||
\(543\) | −6.79837 | − | 20.9232i | −0.291746 | − | 0.897902i | ||||
\(544\) | −4.85410 | + | 3.52671i | −0.208118 | + | 0.151207i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 2.47214 | + | 7.60845i | 0.105798 | + | 0.325612i | ||||
\(547\) | −8.65248 | + | 26.6296i | −0.369953 | + | 1.13860i | 0.576868 | + | 0.816838i | \(0.304275\pi\) |
−0.946821 | + | 0.321761i | \(0.895725\pi\) | |||||||
\(548\) | 14.5623 | + | 10.5801i | 0.622071 | + | 0.451961i | ||||
\(549\) | 8.00000 | 0.341432 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −24.0000 | −1.02243 | ||||||||
\(552\) | 4.85410 | + | 3.52671i | 0.206604 | + | 0.150107i | ||||
\(553\) | 8.65248 | − | 26.6296i | 0.367941 | − | 1.13241i | ||||
\(554\) | 4.94427 | + | 15.2169i | 0.210062 | + | 0.646504i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.23607 | − | 2.35114i | 0.137240 | − | 0.0997106i | ||||
\(557\) | 5.56231 | + | 17.1190i | 0.235682 | + | 0.725356i | 0.997030 | + | 0.0770122i | \(0.0245380\pi\) |
−0.761348 | + | 0.648344i | \(0.775462\pi\) | |||||||
\(558\) | −2.47214 | + | 7.60845i | −0.104654 | + | 0.322091i | ||||
\(559\) | 25.8885 | + | 18.8091i | 1.09497 | + | 0.795541i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.00000 | 0.253095 | ||||||||
\(563\) | 9.70820 | + | 7.05342i | 0.409152 | + | 0.297266i | 0.773258 | − | 0.634091i | \(-0.218626\pi\) |
−0.364106 | + | 0.931357i | \(0.618626\pi\) | |||||||
\(564\) | −1.85410 | + | 5.70634i | −0.0780718 | + | 0.240280i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 6.47214 | − | 4.70228i | 0.272044 | − | 0.197652i | ||||
\(567\) | −1.61803 | + | 1.17557i | −0.0679510 | + | 0.0493693i | ||||
\(568\) | −1.85410 | − | 5.70634i | −0.0777964 | − | 0.239433i | ||||
\(569\) | 5.56231 | − | 17.1190i | 0.233184 | − | 0.717667i | −0.764173 | − | 0.645011i | \(-0.776853\pi\) |
0.997357 | − | 0.0726553i | \(-0.0231473\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −28.0000 | −1.17176 | −0.585882 | − | 0.810397i | \(-0.699252\pi\) | ||||
−0.585882 | + | 0.810397i | \(0.699252\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 18.0000 | 0.751961 | ||||||||
\(574\) | 9.70820 | + | 7.05342i | 0.405213 | + | 0.294404i | ||||
\(575\) | −9.27051 | + | 28.5317i | −0.386607 | + | 1.18985i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | 27.5066 | − | 19.9847i | 1.14511 | − | 0.831974i | 0.157290 | − | 0.987552i | \(-0.449724\pi\) |
0.987824 | + | 0.155579i | \(0.0497242\pi\) | |||||||
\(578\) | 15.3713 | − | 11.1679i | 0.639363 | − | 0.464524i | ||||
\(579\) | 4.32624 | + | 13.3148i | 0.179792 | + | 0.553344i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 19.4164 | + | 14.1068i | 0.805528 | + | 0.585251i | ||||
\(582\) | −14.0000 | −0.580319 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −2.00000 | −0.0827606 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 1.85410 | − | 5.70634i | 0.0765922 | − | 0.235727i | ||||
\(587\) | 7.41641 | + | 22.8254i | 0.306108 | + | 0.942103i | 0.979261 | + | 0.202601i | \(0.0649393\pi\) |
−0.673154 | + | 0.739503i | \(0.735061\pi\) | |||||||
\(588\) | 2.42705 | − | 1.76336i | 0.100090 | − | 0.0727196i | ||||
\(589\) | 25.8885 | − | 18.8091i | 1.06672 | − | 0.775017i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.85410 | − | 5.70634i | 0.0762676 | − | 0.234727i | ||||
\(592\) | 8.09017 | + | 5.87785i | 0.332504 | + | 0.241578i | ||||
\(593\) | −30.0000 | −1.23195 | −0.615976 | − | 0.787765i | \(-0.711238\pi\) | ||||
−0.615976 | + | 0.787765i | \(0.711238\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.85410 | + | 3.52671i | 0.198832 | + | 0.144460i | ||||
\(597\) | −1.23607 | + | 3.80423i | −0.0505889 | + | 0.155697i | ||||
\(598\) | 7.41641 | + | 22.8254i | 0.303279 | + | 0.933398i | ||||
\(599\) | −24.2705 | + | 17.6336i | −0.991666 | + | 0.720488i | −0.960285 | − | 0.279020i | \(-0.909990\pi\) |
−0.0313808 | + | 0.999508i | \(0.509990\pi\) | |||||||
\(600\) | −4.04508 | + | 2.93893i | −0.165140 | + | 0.119981i | ||||
\(601\) | −6.79837 | − | 20.9232i | −0.277311 | − | 0.853477i | −0.988599 | − | 0.150575i | \(-0.951887\pi\) |
0.711287 | − | 0.702902i | \(-0.248113\pi\) | |||||||
\(602\) | −4.94427 | + | 15.2169i | −0.201513 | + | 0.620195i | ||||
\(603\) | 3.23607 | + | 2.35114i | 0.131783 | + | 0.0957459i | ||||
\(604\) | −10.0000 | −0.406894 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.00000 | −0.243733 | ||||||||
\(607\) | −11.3262 | − | 8.22899i | −0.459718 | − | 0.334005i | 0.333703 | − | 0.942678i | \(-0.391702\pi\) |
−0.793421 | + | 0.608674i | \(0.791702\pi\) | |||||||
\(608\) | 1.23607 | − | 3.80423i | 0.0501292 | − | 0.154282i | ||||
\(609\) | 3.70820 | + | 11.4127i | 0.150264 | + | 0.462465i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −19.4164 | + | 14.1068i | −0.785504 | + | 0.570702i | ||||
\(612\) | −1.85410 | − | 5.70634i | −0.0749476 | − | 0.230665i | ||||
\(613\) | −4.94427 | + | 15.2169i | −0.199697 | + | 0.614605i | 0.800192 | + | 0.599744i | \(0.204731\pi\) |
−0.999890 | + | 0.0148615i | \(0.995269\pi\) | |||||||
\(614\) | 16.1803 | + | 11.7557i | 0.652985 | + | 0.474422i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −30.0000 | −1.20775 | −0.603877 | − | 0.797077i | \(-0.706378\pi\) | ||||
−0.603877 | + | 0.797077i | \(0.706378\pi\) | |||||||
\(618\) | −3.23607 | − | 2.35114i | −0.130174 | − | 0.0945768i | ||||
\(619\) | 13.5967 | − | 41.8465i | 0.546499 | − | 1.68195i | −0.170898 | − | 0.985289i | \(-0.554667\pi\) |
0.717398 | − | 0.696664i | \(-0.245333\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.85410 | + | 3.52671i | −0.194788 | + | 0.141522i | ||||
\(622\) | −14.5623 | + | 10.5801i | −0.583895 | + | 0.424225i | ||||
\(623\) | −3.70820 | − | 11.4127i | −0.148566 | − | 0.457239i | ||||
\(624\) | −1.23607 | + | 3.80423i | −0.0494823 | + | 0.152291i | ||||
\(625\) | −20.2254 | − | 14.6946i | −0.809017 | − | 0.587785i | ||||
\(626\) | −26.0000 | −1.03917 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.00000 | 0.0798087 | ||||||||
\(629\) | −48.5410 | − | 35.2671i | −1.93546 | − | 1.40619i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.94427 | − | 15.2169i | −0.196828 | − | 0.605775i | −0.999950 | − | 0.00996082i | \(-0.996829\pi\) |
0.803122 | − | 0.595815i | \(-0.203171\pi\) | |||||||
\(632\) | 11.3262 | − | 8.22899i | 0.450534 | − | 0.327332i | ||||
\(633\) | −6.47214 | + | 4.70228i | −0.257244 | + | 0.186899i | ||||
\(634\) | −3.70820 | − | 11.4127i | −0.147272 | − | 0.453255i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.0000 | 0.475457 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.00000 | 0.237356 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.85410 | − | 5.70634i | 0.0732326 | − | 0.225387i | −0.907740 | − | 0.419533i | \(-0.862194\pi\) |
0.980973 | + | 0.194147i | \(0.0621937\pi\) | |||||||
\(642\) | 3.70820 | + | 11.4127i | 0.146351 | + | 0.450422i | ||||
\(643\) | 3.23607 | − | 2.35114i | 0.127618 | − | 0.0927200i | −0.522145 | − | 0.852857i | \(-0.674868\pi\) |
0.649763 | + | 0.760137i | \(0.274868\pi\) | |||||||
\(644\) | −9.70820 | + | 7.05342i | −0.382557 | + | 0.277944i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.41641 | + | 22.8254i | −0.291795 | + | 0.898052i | ||||
\(647\) | −4.85410 | − | 3.52671i | −0.190834 | − | 0.138649i | 0.488266 | − | 0.872695i | \(-0.337630\pi\) |
−0.679100 | + | 0.734046i | \(0.737630\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −20.0000 | −0.784465 | ||||||||
\(651\) | −12.9443 | − | 9.40456i | −0.507326 | − | 0.368594i | ||||
\(652\) | −1.23607 | + | 3.80423i | −0.0484082 | + | 0.148985i | ||||
\(653\) | −11.1246 | − | 34.2380i | −0.435340 | − | 1.33984i | −0.892738 | − | 0.450576i | \(-0.851219\pi\) |
0.457398 | − | 0.889262i | \(-0.348781\pi\) | |||||||
\(654\) | −3.23607 | + | 2.35114i | −0.126540 | + | 0.0919369i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 1.85410 | + | 5.70634i | 0.0723905 | + | 0.222795i | ||||
\(657\) | 0.618034 | − | 1.90211i | 0.0241118 | − | 0.0742085i | ||||
\(658\) | −9.70820 | − | 7.05342i | −0.378465 | − | 0.274971i | ||||
\(659\) | 36.0000 | 1.40236 | 0.701180 | − | 0.712984i | \(-0.252657\pi\) | ||||
0.701180 | + | 0.712984i | \(0.252657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.0000 | −0.855701 | −0.427850 | − | 0.903850i | \(-0.640729\pi\) | ||||
−0.427850 | + | 0.903850i | \(0.640729\pi\) | |||||||
\(662\) | −3.23607 | − | 2.35114i | −0.125773 | − | 0.0913797i | ||||
\(663\) | 7.41641 | − | 22.8254i | 0.288029 | − | 0.886463i | ||||
\(664\) | 3.70820 | + | 11.4127i | 0.143906 | + | 0.442898i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −8.09017 | + | 5.87785i | −0.313488 | + | 0.227762i | ||||
\(667\) | 11.1246 | + | 34.2380i | 0.430747 | + | 1.32570i | ||||
\(668\) | 3.70820 | − | 11.4127i | 0.143475 | − | 0.441570i | ||||
\(669\) | 12.9443 | + | 9.40456i | 0.500454 | + | 0.363601i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −2.00000 | −0.0771517 | ||||||||
\(673\) | −11.3262 | − | 8.22899i | −0.436594 | − | 0.317204i | 0.347686 | − | 0.937611i | \(-0.386968\pi\) |
−0.784280 | + | 0.620407i | \(0.786968\pi\) | |||||||
\(674\) | −0.618034 | + | 1.90211i | −0.0238058 | + | 0.0732667i | ||||
\(675\) | −1.54508 | − | 4.75528i | −0.0594703 | − | 0.183031i | ||||
\(676\) | −2.42705 | + | 1.76336i | −0.0933481 | + | 0.0678214i | ||||
\(677\) | −24.2705 | + | 17.6336i | −0.932791 | + | 0.677713i | −0.946675 | − | 0.322191i | \(-0.895581\pi\) |
0.0138832 | + | 0.999904i | \(0.495581\pi\) | |||||||
\(678\) | −5.56231 | − | 17.1190i | −0.213619 | − | 0.657452i | ||||
\(679\) | 8.65248 | − | 26.6296i | 0.332052 | − | 1.02195i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.0000 | −0.459841 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −24.0000 | −0.918334 | −0.459167 | − | 0.888350i | \(-0.651852\pi\) | ||||
−0.459167 | + | 0.888350i | \(0.651852\pi\) | |||||||
\(684\) | 3.23607 | + | 2.35114i | 0.123734 | + | 0.0898981i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 6.18034 | + | 19.0211i | 0.235966 | + | 0.726230i | ||||
\(687\) | 17.7984 | − | 12.9313i | 0.679050 | − | 0.493359i | ||||
\(688\) | −6.47214 | + | 4.70228i | −0.246748 | + | 0.179273i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −16.1803 | − | 11.7557i | −0.615529 | − | 0.447208i | 0.235828 | − | 0.971795i | \(-0.424220\pi\) |
−0.851357 | + | 0.524587i | \(0.824220\pi\) | |||||||
\(692\) | 6.00000 | 0.228086 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −36.0000 | −1.36654 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.85410 | + | 5.70634i | −0.0702796 | + | 0.216298i | ||||
\(697\) | −11.1246 | − | 34.2380i | −0.421375 | − | 1.29686i | ||||
\(698\) | −3.23607 | + | 2.35114i | −0.122487 | + | 0.0889920i | ||||
\(699\) | 14.5623 | − | 10.5801i | 0.550797 | − | 0.400177i | ||||
\(700\) | −3.09017 | − | 9.51057i | −0.116797 | − | 0.359466i | ||||
\(701\) | −1.85410 | + | 5.70634i | −0.0700285 | + | 0.215525i | −0.979946 | − | 0.199264i | \(-0.936145\pi\) |
0.909917 | + | 0.414790i | \(0.136145\pi\) | |||||||
\(702\) | −3.23607 | − | 2.35114i | −0.122138 | − | 0.0887381i | ||||
\(703\) | 40.0000 | 1.50863 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.85410 | − | 3.52671i | −0.182687 | − | 0.132730i | ||||
\(707\) | 3.70820 | − | 11.4127i | 0.139461 | − | 0.429218i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −21.0344 | + | 15.2824i | −0.789965 | + | 0.573943i | −0.907953 | − | 0.419072i | \(-0.862356\pi\) |
0.117988 | + | 0.993015i | \(0.462356\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.32624 | + | 13.3148i | 0.162247 | + | 0.499344i | ||||
\(712\) | 1.85410 | − | 5.70634i | 0.0694854 | − | 0.213854i | ||||
\(713\) | −38.8328 | − | 28.2137i | −1.45430 | − | 1.05661i | ||||
\(714\) | 12.0000 | 0.449089 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 24.0000 | 0.896922 | ||||||||
\(717\) | 9.70820 | + | 7.05342i | 0.362560 | + | 0.263415i | ||||
\(718\) | 3.70820 | − | 11.4127i | 0.138389 | − | 0.425917i | ||||
\(719\) | 9.27051 | + | 28.5317i | 0.345732 | + | 1.06405i | 0.961191 | + | 0.275884i | \(0.0889706\pi\) |
−0.615459 | + | 0.788169i | \(0.711029\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.47214 | − | 4.70228i | 0.241035 | − | 0.175122i | ||||
\(722\) | 0.927051 | + | 2.85317i | 0.0345013 | + | 0.106184i | ||||
\(723\) | −3.09017 | + | 9.51057i | −0.114925 | + | 0.353702i | ||||
\(724\) | 17.7984 | + | 12.9313i | 0.661471 | + | 0.480587i | ||||
\(725\) | −30.0000 | −1.11417 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.0000 | −1.03846 | −0.519231 | − | 0.854634i | \(-0.673782\pi\) | ||||
−0.519231 | + | 0.854634i | \(0.673782\pi\) | |||||||
\(728\) | −6.47214 | − | 4.70228i | −0.239873 | − | 0.174278i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 38.8328 | − | 28.2137i | 1.43628 | − | 1.04352i | ||||
\(732\) | −6.47214 | + | 4.70228i | −0.239217 | + | 0.173801i | ||||
\(733\) | −1.23607 | − | 3.80423i | −0.0456552 | − | 0.140512i | 0.925630 | − | 0.378429i | \(-0.123536\pi\) |
−0.971286 | + | 0.237917i | \(0.923536\pi\) | |||||||
\(734\) | −2.47214 | + | 7.60845i | −0.0912482 | + | 0.280833i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.00000 | −0.221163 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −6.00000 | −0.220863 | ||||||||
\(739\) | −6.47214 | − | 4.70228i | −0.238081 | − | 0.172976i | 0.462347 | − | 0.886699i | \(-0.347008\pi\) |
−0.700428 | + | 0.713723i | \(0.747008\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.94427 | + | 15.2169i | 0.181632 | + | 0.559007i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −29.1246 | + | 21.1603i | −1.06848 | + | 0.776295i | −0.975638 | − | 0.219386i | \(-0.929595\pi\) |
−0.0928402 | + | 0.995681i | \(0.529595\pi\) | |||||||
\(744\) | −2.47214 | − | 7.60845i | −0.0906329 | − | 0.278939i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 16.1803 | + | 11.7557i | 0.592404 | + | 0.430407i | ||||
\(747\) | −12.0000 | −0.439057 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −24.0000 | −0.876941 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.47214 | − | 7.60845i | 0.0902095 | − | 0.277636i | −0.895766 | − | 0.444526i | \(-0.853372\pi\) |
0.985976 | + | 0.166889i | \(0.0533723\pi\) | |||||||
\(752\) | −1.85410 | − | 5.70634i | −0.0676121 | − | 0.208089i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −19.4164 | + | 14.1068i | −0.707104 | + | 0.513741i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.618034 | − | 1.90211i | 0.0224777 | − | 0.0691792i | ||||
\(757\) | 27.5066 | + | 19.9847i | 0.999744 | + | 0.726356i | 0.962033 | − | 0.272932i | \(-0.0879936\pi\) |
0.0377104 | + | 0.999289i | \(0.487994\pi\) | |||||||
\(758\) | −20.0000 | −0.726433 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −14.5623 | − | 10.5801i | −0.527883 | − | 0.383530i | 0.291682 | − | 0.956515i | \(-0.405785\pi\) |
−0.819565 | + | 0.572986i | \(0.805785\pi\) | |||||||
\(762\) | −4.32624 | + | 13.3148i | −0.156723 | + | 0.482344i | ||||
\(763\) | −2.47214 | − | 7.60845i | −0.0894973 | − | 0.275444i | ||||
\(764\) | −14.5623 | + | 10.5801i | −0.526846 | + | 0.382776i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.85410 | − | 5.70634i | −0.0669914 | − | 0.206178i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −0.809017 | − | 0.587785i | −0.0291929 | − | 0.0212099i | ||||
\(769\) | −34.0000 | −1.22607 | −0.613036 | − | 0.790055i | \(-0.710052\pi\) | ||||
−0.613036 | + | 0.790055i | \(0.710052\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −30.0000 | −1.08042 | ||||||||
\(772\) | −11.3262 | − | 8.22899i | −0.407640 | − | 0.296168i | ||||
\(773\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(774\) | −2.47214 | − | 7.60845i | −0.0888591 | − | 0.273480i | ||||
\(775\) | 32.3607 | − | 23.5114i | 1.16243 | − | 0.844555i | ||||
\(776\) | 11.3262 | − | 8.22899i | 0.406588 | − | 0.295404i | ||||
\(777\) | −6.18034 | − | 19.0211i | −0.221718 | − | 0.682379i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 19.4164 | + | 14.1068i | 0.695665 | + | 0.505430i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 36.0000 | 1.28736 | ||||||||
\(783\) | −4.85410 | − | 3.52671i | −0.173471 | − | 0.126034i | ||||
\(784\) | −0.927051 | + | 2.85317i | −0.0331090 | + | 0.101899i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −9.70820 | + | 7.05342i | −0.346280 | + | 0.251587i | ||||
\(787\) | −25.8885 | + | 18.8091i | −0.922827 | + | 0.670473i | −0.944226 | − | 0.329298i | \(-0.893188\pi\) |
0.0213991 | + | 0.999771i | \(0.493188\pi\) | |||||||
\(788\) | 1.85410 | + | 5.70634i | 0.0660496 | + | 0.203280i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 36.0000 | 1.28001 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −32.0000 | −1.13635 | ||||||||
\(794\) | 21.0344 | + | 15.2824i | 0.746484 | + | 0.542353i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.23607 | − | 3.80423i | −0.0438113 | − | 0.134837i | ||||
\(797\) | 0 | 0 | −0.587785 | − | 0.809017i | \(-0.700000\pi\) | ||||
0.587785 | + | 0.809017i | \(0.300000\pi\) | |||||||
\(798\) | −6.47214 | + | 4.70228i | −0.229111 | + | 0.166459i | ||||
\(799\) | 11.1246 | + | 34.2380i | 0.393560 | + | 1.21125i | ||||
\(800\) | 1.54508 | − | 4.75528i | 0.0546270 | − | 0.168125i | ||||
\(801\) | 4.85410 | + | 3.52671i | 0.171511 | + | 0.124610i | ||||
\(802\) | −30.0000 | −1.05934 | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −4.00000 | −0.141069 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 9.88854 | − | 30.4338i | 0.348309 | − | 1.07199i | ||||
\(807\) | −7.41641 | − | 22.8254i | −0.261070 | − | 0.803491i | ||||
\(808\) | 4.85410 | − | 3.52671i | 0.170767 | − | 0.124069i | ||||
\(809\) | 33.9787 | − | 24.6870i | 1.19463 | − | 0.867948i | 0.200882 | − | 0.979615i | \(-0.435619\pi\) |
0.993746 | + | 0.111667i | \(0.0356191\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.47214 | − | 7.60845i | 0.0868084 | − | 0.267169i | −0.898224 | − | 0.439538i | \(-0.855142\pi\) |
0.985032 | + | 0.172369i | \(0.0551422\pi\) | |||||||
\(812\) | −9.70820 | − | 7.05342i | −0.340691 | − | 0.247527i | ||||
\(813\) | 2.00000 | 0.0701431 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 4.85410 | + | 3.52671i | 0.169928 | + | 0.123460i | ||||
\(817\) | −9.88854 | + | 30.4338i | −0.345956 | + | 1.06474i | ||||
\(818\) | 10.5066 | + | 32.3359i | 0.367354 | + | 1.13060i | ||||
\(819\) | 6.47214 | − | 4.70228i | 0.226155 | − | 0.164311i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.56231 | − | 17.1190i | −0.194126 | − | 0.597458i | −0.999986 | − | 0.00535152i | \(-0.998297\pi\) |
0.805860 | − | 0.592106i | \(-0.201703\pi\) | |||||||
\(822\) | 5.56231 | − | 17.1190i | 0.194008 | − | 0.597094i | ||||
\(823\) | −6.47214 | − | 4.70228i | −0.225604 | − | 0.163911i | 0.469241 | − | 0.883070i | \(-0.344527\pi\) |
−0.694846 | + | 0.719159i | \(0.744527\pi\) | |||||||
\(824\) | 4.00000 | 0.139347 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 9.70820 | + | 7.05342i | 0.337587 | + | 0.245272i | 0.743643 | − | 0.668577i | \(-0.233096\pi\) |
−0.406056 | + | 0.913848i | \(0.633096\pi\) | |||||||
\(828\) | 1.85410 | − | 5.70634i | 0.0644345 | − | 0.198309i | ||||
\(829\) | 4.32624 | + | 13.3148i | 0.150256 | + | 0.462442i | 0.997649 | − | 0.0685244i | \(-0.0218291\pi\) |
−0.847393 | + | 0.530966i | \(0.821829\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 12.9443 | − | 9.40456i | 0.449032 | − | 0.326241i | ||||
\(832\) | −1.23607 | − | 3.80423i | −0.0428529 | − | 0.131888i | ||||
\(833\) | 5.56231 | − | 17.1190i | 0.192722 | − | 0.593139i | ||||
\(834\) | −3.23607 | − | 2.35114i | −0.112056 | − | 0.0814134i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 8.00000 | 0.276520 | ||||||||
\(838\) | 19.4164 | + | 14.1068i | 0.670729 | + | 0.487313i | ||||
\(839\) | 5.56231 | − | 17.1190i | 0.192032 | − | 0.591014i | −0.807966 | − | 0.589229i | \(-0.799432\pi\) |
0.999998 | − | 0.00178539i | \(-0.000568307\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.66312 | + | 4.11450i | −0.195280 | + | 0.141879i | ||||
\(842\) | −8.09017 | + | 5.87785i | −0.278806 | + | 0.202564i | ||||
\(843\) | −1.85410 | − | 5.70634i | −0.0638587 | − | 0.196537i | ||||
\(844\) | 2.47214 | − | 7.60845i | 0.0850944 | − | 0.261894i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 6.00000 | 0.206284 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −6.47214 | − | 4.70228i | −0.222123 | − | 0.161382i | ||||
\(850\) | −9.27051 | + | 28.5317i | −0.317976 | + | 0.978629i | ||||
\(851\) | −18.5410 | − | 57.0634i | −0.635578 | − | 1.95611i | ||||
\(852\) | −4.85410 | + | 3.52671i | −0.166299 | + | 0.120823i | ||||
\(853\) | −6.47214 | + | 4.70228i | −0.221602 | + | 0.161003i | −0.693047 | − | 0.720892i | \(-0.743732\pi\) |
0.471446 | + | 0.881895i | \(0.343732\pi\) | |||||||
\(854\) | −4.94427 | − | 15.2169i | −0.169190 | − | 0.520712i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.70820 | − | 7.05342i | −0.331820 | − | 0.241081i | ||||
\(857\) | 54.0000 | 1.84460 | 0.922302 | − | 0.386469i | \(-0.126305\pi\) | ||||
0.922302 | + | 0.386469i | \(0.126305\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.0000 | 0.682391 | 0.341196 | − | 0.939992i | \(-0.389168\pi\) | ||||
0.341196 | + | 0.939992i | \(0.389168\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.70820 | − | 11.4127i | 0.126375 | − | 0.388943i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −33.9787 | + | 24.6870i | −1.15665 | + | 0.840355i | −0.989351 | − | 0.145552i | \(-0.953504\pi\) |
−0.167298 | + | 0.985906i | \(0.553504\pi\) | |||||||
\(864\) | 0.809017 | − | 0.587785i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −8.03444 | + | 24.7275i | −0.273021 | + | 0.840274i | ||||
\(867\) | −15.3713 | − | 11.1679i | −0.522037 | − | 0.379282i | ||||
\(868\) | 16.0000 | 0.543075 | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.9443 | − | 9.40456i | −0.438600 | − | 0.318661i | ||||
\(872\) | 1.23607 | − | 3.80423i | 0.0418585 | − | 0.128827i | ||||
\(873\) | 4.32624 | + | 13.3148i | 0.146421 | + | 0.450637i | ||||
\(874\) | −19.4164 | + | 14.1068i | −0.656770 | + | 0.477171i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.618034 | + | 1.90211i | 0.0208814 | + | 0.0642664i | ||||
\(877\) | −16.0689 | + | 49.4549i | −0.542608 | + | 1.66997i | 0.184003 | + | 0.982926i | \(0.441094\pi\) |
−0.726611 | + | 0.687049i | \(0.758906\pi\) | |||||||
\(878\) | −8.09017 | − | 5.87785i | −0.273030 | − | 0.198368i | ||||
\(879\) | −6.00000 | −0.202375 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −30.0000 | −1.01073 | −0.505363 | − | 0.862907i | \(-0.668641\pi\) | ||||
−0.505363 | + | 0.862907i | \(0.668641\pi\) | |||||||
\(882\) | −2.42705 | − | 1.76336i | −0.0817231 | − | 0.0593753i | ||||
\(883\) | −8.65248 | + | 26.6296i | −0.291179 | + | 0.896157i | 0.693299 | + | 0.720650i | \(0.256156\pi\) |
−0.984478 | + | 0.175507i | \(0.943844\pi\) | |||||||
\(884\) | 7.41641 | + | 22.8254i | 0.249441 | + | 0.767700i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −19.4164 | + | 14.1068i | −0.652307 | + | 0.473929i | ||||
\(887\) | −11.1246 | − | 34.2380i | −0.373528 | − | 1.14960i | −0.944466 | − | 0.328608i | \(-0.893421\pi\) |
0.570939 | − | 0.820993i | \(-0.306579\pi\) | |||||||
\(888\) | 3.09017 | − | 9.51057i | 0.103699 | − | 0.319154i | ||||
\(889\) | −22.6525 | − | 16.4580i | −0.759740 | − | 0.551983i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.0000 | −0.535720 | ||||||||
\(893\) | −19.4164 | − | 14.1068i | −0.649745 | − | 0.472068i | ||||
\(894\) | 1.85410 | − | 5.70634i | 0.0620104 | − | 0.190849i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 1.61803 | − | 1.17557i | 0.0540547 | − | 0.0392731i | ||||
\(897\) | 19.4164 | − | 14.1068i | 0.648295 | − | 0.471014i | ||||
\(898\) | −1.85410 | − | 5.70634i | −0.0618722 | − | 0.190423i | ||||
\(899\) | 14.8328 | − | 45.6507i | 0.494702 | − | 1.52254i | ||||
\(900\) | 4.04508 | + | 2.93893i | 0.134836 | + | 0.0979642i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 16.0000 | 0.532447 | ||||||||
\(904\) | 14.5623 | + | 10.5801i | 0.484335 | + | 0.351890i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.09017 | + | 9.51057i | 0.102664 | + | 0.315967i | ||||
\(907\) | −16.1803 | + | 11.7557i | −0.537259 | + | 0.390342i | −0.823066 | − | 0.567945i | \(-0.807738\pi\) |
0.285807 | + | 0.958287i | \(0.407738\pi\) | |||||||
\(908\) | 9.70820 | − | 7.05342i | 0.322178 | − | 0.234076i | ||||
\(909\) | 1.85410 | + | 5.70634i | 0.0614967 | + | 0.189267i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 33.9787 | + | 24.6870i | 1.12577 | + | 0.817916i | 0.985073 | − | 0.172137i | \(-0.0550673\pi\) |
0.140692 | + | 0.990053i | \(0.455067\pi\) | |||||||
\(912\) | −4.00000 | −0.132453 | ||||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 10.0000 | 0.330771 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.79837 | + | 20.9232i | −0.224625 | + | 0.691323i | ||||
\(917\) | −7.41641 | − | 22.8254i | −0.244911 | − | 0.753760i | ||||
\(918\) | −4.85410 | + | 3.52671i | −0.160209 | + | 0.116399i | ||||
\(919\) | −1.61803 | + | 1.17557i | −0.0533740 | + | 0.0387785i | −0.614152 | − | 0.789187i | \(-0.710502\pi\) |
0.560778 | + | 0.827966i | \(0.310502\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 6.18034 | − | 19.0211i | 0.203649 | − | 0.626768i | ||||
\(922\) | 33.9787 | + | 24.6870i | 1.11903 | + | 0.813022i | ||||
\(923\) | −24.0000 | −0.789970 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 50.0000 | 1.64399 | ||||||||
\(926\) | −3.23607 | − | 2.35114i | −0.106344 | − | 0.0772633i | ||||
\(927\) | −1.23607 | + | 3.80423i | −0.0405978 | + | 0.124947i | ||||
\(928\) | −1.85410 | − | 5.70634i | −0.0608639 | − | 0.187320i | ||||
\(929\) | −24.2705 | + | 17.6336i | −0.796290 | + | 0.578538i | −0.909823 | − | 0.414996i | \(-0.863783\pi\) |
0.113534 | + | 0.993534i | \(0.463783\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.70820 | + | 11.4127i | 0.121531 | + | 0.374035i | ||||
\(932\) | −5.56231 | + | 17.1190i | −0.182199 | + | 0.560752i | ||||
\(933\) | 14.5623 | + | 10.5801i | 0.476748 | + | 0.346378i | ||||
\(934\) | 12.0000 | 0.392652 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 4.00000 | 0.130744 | ||||||||
\(937\) | 17.7984 | + | 12.9313i | 0.581448 | + | 0.422446i | 0.839246 | − | 0.543752i | \(-0.182997\pi\) |
−0.257798 | + | 0.966199i | \(0.582997\pi\) | |||||||
\(938\) | 2.47214 | − | 7.60845i | 0.0807181 | − | 0.248425i | ||||
\(939\) | 8.03444 | + | 24.7275i | 0.262194 | + | 0.806950i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 14.5623 | − | 10.5801i | 0.474718 | − | 0.344903i | −0.324559 | − | 0.945865i | \(-0.605216\pi\) |
0.799277 | + | 0.600963i | \(0.205216\pi\) | |||||||
\(942\) | −0.618034 | − | 1.90211i | −0.0201366 | − | 0.0619742i | ||||
\(943\) | 11.1246 | − | 34.2380i | 0.362267 | − | 1.11494i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 12.0000 | 0.389948 | 0.194974 | − | 0.980808i | \(-0.437538\pi\) | ||||
0.194974 | + | 0.980808i | \(0.437538\pi\) | |||||||
\(948\) | −11.3262 | − | 8.22899i | −0.367859 | − | 0.267265i | ||||
\(949\) | −2.47214 | + | 7.60845i | −0.0802489 | + | 0.246981i | ||||
\(950\) | −6.18034 | − | 19.0211i | −0.200517 | − | 0.617127i | ||||
\(951\) | −9.70820 | + | 7.05342i | −0.314810 | + | 0.228723i | ||||
\(952\) | −9.70820 | + | 7.05342i | −0.314645 | + | 0.228603i | ||||
\(953\) | −12.9787 | − | 39.9444i | −0.420422 | − | 1.29393i | −0.907311 | − | 0.420461i | \(-0.861868\pi\) |
0.486889 | − | 0.873464i | \(-0.338132\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −12.0000 | −0.388108 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.0000 | 0.775405 | ||||||||
\(959\) | 29.1246 | + | 21.1603i | 0.940483 | + | 0.683301i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.1976 | + | 31.3849i | 0.328954 | + | 1.01242i | ||||
\(962\) | 32.3607 | − | 23.5114i | 1.04335 | − | 0.758038i | ||||
\(963\) | 9.70820 | − | 7.05342i | 0.312842 | − | 0.227293i | ||||
\(964\) | −3.09017 | − | 9.51057i | −0.0995277 | − | 0.306315i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 9.70820 | + | 7.05342i | 0.312356 | + | 0.226940i | ||||
\(967\) | 14.0000 | 0.450210 | 0.225105 | − | 0.974335i | \(-0.427728\pi\) | ||||
0.225105 | + | 0.974335i | \(0.427728\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 24.0000 | 0.770991 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0 | 0 | −0.951057 | − | 0.309017i | \(-0.900000\pi\) | ||||
0.951057 | + | 0.309017i | \(0.100000\pi\) | |||||||
\(972\) | 0.309017 | + | 0.951057i | 0.00991172 | + | 0.0305052i | ||||
\(973\) | 6.47214 | − | 4.70228i | 0.207487 | − | 0.150748i | ||||
\(974\) | 16.1803 | − | 11.7557i | 0.518452 | − | 0.376677i | ||||
\(975\) | 6.18034 | + | 19.0211i | 0.197929 | + | 0.609164i | ||||
\(976\) | 2.47214 | − | 7.60845i | 0.0791311 | − | 0.243541i | ||||
\(977\) | −43.6869 | − | 31.7404i | −1.39767 | − | 1.01547i | −0.994974 | − | 0.100131i | \(-0.968074\pi\) |
−0.402694 | − | 0.915335i | \(-0.631926\pi\) | |||||||
\(978\) | 4.00000 | 0.127906 | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 3.23607 | + | 2.35114i | 0.103320 | + | 0.0750662i | ||||
\(982\) | −3.70820 | + | 11.4127i | −0.118334 | + | 0.364193i | ||||
\(983\) | 9.27051 | + | 28.5317i | 0.295683 | + | 0.910020i | 0.982991 | + | 0.183653i | \(0.0587924\pi\) |
−0.687308 | + | 0.726366i | \(0.741208\pi\) | |||||||
\(984\) | 4.85410 | − | 3.52671i | 0.154743 | − | 0.112427i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 11.1246 | + | 34.2380i | 0.354280 | + | 1.09036i | ||||
\(987\) | −3.70820 | + | 11.4127i | −0.118033 | + | 0.363270i | ||||
\(988\) | −12.9443 | − | 9.40456i | −0.411812 | − | 0.299199i | ||||
\(989\) | 48.0000 | 1.52631 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 56.0000 | 1.77890 | 0.889449 | − | 0.457034i | \(-0.151088\pi\) | ||||
0.889449 | + | 0.457034i | \(0.151088\pi\) | |||||||
\(992\) | 6.47214 | + | 4.70228i | 0.205491 | + | 0.149298i | ||||
\(993\) | −1.23607 | + | 3.80423i | −0.0392254 | + | 0.120723i | ||||
\(994\) | −3.70820 | − | 11.4127i | −0.117617 | − | 0.361988i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 9.70820 | − | 7.05342i | 0.307616 | − | 0.223496i | ||||
\(997\) | 13.5967 | + | 41.8465i | 0.430613 | + | 1.32529i | 0.897516 | + | 0.440983i | \(0.145370\pi\) |
−0.466902 | + | 0.884309i | \(0.654630\pi\) | |||||||
\(998\) | 1.23607 | − | 3.80423i | 0.0391270 | − | 0.120421i | ||||
\(999\) | 8.09017 | + | 5.87785i | 0.255962 | + | 0.185967i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))