Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(21,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.l (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 4 x^{14} + 7 x^{12} - 8 x^{11} - 28 x^{10} + 28 x^{9} + 17 x^{8} + 56 x^{7} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 61.3 | ||
Root | \(1.21331 + 0.726558i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.61 |
Dual form | 80.2.l.a.21.3 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.376912 | + | 1.36306i | −0.266517 | + | 0.963830i | ||||
\(3\) | 1.82762 | + | 1.82762i | 1.05518 | + | 1.05518i | 0.998386 | + | 0.0567890i | \(0.0180862\pi\) |
0.0567890 | + | 0.998386i | \(0.481914\pi\) | |||||||
\(4\) | −1.71587 | − | 1.02751i | −0.857937 | − | 0.513754i | ||||
\(5\) | −0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | ||||
\(6\) | −3.18001 | + | 1.80230i | −1.29823 | + | 0.735788i | ||||
\(7\) | − | 4.50961i | − | 1.70447i | −0.523158 | − | 0.852236i | \(-0.675246\pi\) | ||
0.523158 | − | 0.852236i | \(-0.324754\pi\) | |||||||
\(8\) | 2.04729 | − | 1.95156i | 0.723827 | − | 0.689982i | ||||
\(9\) | 3.68037i | 1.22679i | ||||||||
\(10\) | −0.697313 | − | 1.23035i | −0.220510 | − | 0.389070i | ||||
\(11\) | −1.64080 | + | 1.64080i | −0.494721 | + | 0.494721i | −0.909790 | − | 0.415069i | \(-0.863757\pi\) |
0.415069 | + | 0.909790i | \(0.363757\pi\) | |||||||
\(12\) | −1.25807 | − | 5.01385i | −0.363174 | − | 1.44737i | ||||
\(13\) | 1.51857 | + | 1.51857i | 0.421176 | + | 0.421176i | 0.885609 | − | 0.464432i | \(-0.153742\pi\) |
−0.464432 | + | 0.885609i | \(0.653742\pi\) | |||||||
\(14\) | 6.14687 | + | 1.69972i | 1.64282 | + | 0.454270i | ||||
\(15\) | −2.58464 | −0.667351 | ||||||||
\(16\) | 1.88845 | + | 3.52615i | 0.472113 | + | 0.881538i | ||||
\(17\) | 1.45616 | 0.353170 | 0.176585 | − | 0.984285i | \(-0.443495\pi\) | ||||
0.176585 | + | 0.984285i | \(0.443495\pi\) | |||||||
\(18\) | −5.01657 | − | 1.38717i | −1.18242 | − | 0.326960i | ||||
\(19\) | −2.67964 | − | 2.67964i | −0.614752 | − | 0.614752i | 0.329428 | − | 0.944181i | \(-0.393144\pi\) |
−0.944181 | + | 0.329428i | \(0.893144\pi\) | |||||||
\(20\) | 1.93986 | − | 0.486749i | 0.433767 | − | 0.108840i | ||||
\(21\) | 8.24183 | − | 8.24183i | 1.79852 | − | 1.79852i | ||||
\(22\) | −1.61808 | − | 2.85495i | −0.344975 | − | 0.608678i | ||||
\(23\) | − | 2.37423i | − | 0.495061i | −0.968880 | − | 0.247530i | \(-0.920381\pi\) | ||
0.968880 | − | 0.247530i | \(-0.0796190\pi\) | |||||||
\(24\) | 7.30837 | + | 0.174953i | 1.49182 | + | 0.0357121i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | −2.64228 | + | 1.49754i | −0.518193 | + | 0.293692i | ||||
\(27\) | −1.24345 | + | 1.24345i | −0.239303 | + | 0.239303i | ||||
\(28\) | −4.63366 | + | 7.73792i | −0.875679 | + | 1.46233i | ||||
\(29\) | 0.924966 | + | 0.924966i | 0.171762 | + | 0.171762i | 0.787753 | − | 0.615991i | \(-0.211244\pi\) |
−0.615991 | + | 0.787753i | \(0.711244\pi\) | |||||||
\(30\) | 0.974182 | − | 3.52303i | 0.177860 | − | 0.643213i | ||||
\(31\) | −7.20435 | −1.29394 | −0.646970 | − | 0.762515i | \(-0.723964\pi\) | ||||
−0.646970 | + | 0.762515i | \(0.723964\pi\) | |||||||
\(32\) | −5.51814 | + | 1.24503i | −0.975479 | + | 0.220092i | ||||
\(33\) | −5.99752 | −1.04403 | ||||||||
\(34\) | −0.548843 | + | 1.98483i | −0.0941259 | + | 0.340396i | ||||
\(35\) | 3.18877 | + | 3.18877i | 0.539001 | + | 0.539001i | ||||
\(36\) | 3.78161 | − | 6.31505i | 0.630268 | − | 1.05251i | ||||
\(37\) | −5.21123 | + | 5.21123i | −0.856720 | + | 0.856720i | −0.990950 | − | 0.134230i | \(-0.957144\pi\) |
0.134230 | + | 0.990950i | \(0.457144\pi\) | |||||||
\(38\) | 4.66251 | − | 2.64253i | 0.756359 | − | 0.428675i | ||||
\(39\) | 5.55074i | 0.888830i | ||||||||
\(40\) | −0.0676894 | + | 2.82762i | −0.0107026 | + | 0.447086i | ||||
\(41\) | 6.41166i | 1.00133i | 0.865640 | + | 0.500667i | \(0.166912\pi\) | ||||
−0.865640 | + | 0.500667i | \(0.833088\pi\) | |||||||
\(42\) | 8.12768 | + | 14.3406i | 1.25413 | + | 2.21280i | ||||
\(43\) | 7.65800 | − | 7.65800i | 1.16783 | − | 1.16783i | 0.185118 | − | 0.982716i | \(-0.440733\pi\) |
0.982716 | − | 0.185118i | \(-0.0592669\pi\) | |||||||
\(44\) | 4.50135 | − | 1.12947i | 0.678604 | − | 0.170275i | ||||
\(45\) | −2.60241 | − | 2.60241i | −0.387945 | − | 0.387945i | ||||
\(46\) | 3.23622 | + | 0.894875i | 0.477155 | + | 0.131942i | ||||
\(47\) | −2.51027 | −0.366161 | −0.183081 | − | 0.983098i | \(-0.558607\pi\) | ||||
−0.183081 | + | 0.983098i | \(0.558607\pi\) | |||||||
\(48\) | −2.99308 | + | 9.89582i | −0.432015 | + | 1.42834i | ||||
\(49\) | −13.3366 | −1.90522 | ||||||||
\(50\) | 1.36306 | + | 0.376912i | 0.192766 | + | 0.0533034i | ||||
\(51\) | 2.66130 | + | 2.66130i | 0.372657 | + | 0.372657i | ||||
\(52\) | −1.04534 | − | 4.16603i | −0.144962 | − | 0.577724i | ||||
\(53\) | 1.50312 | − | 1.50312i | 0.206470 | − | 0.206470i | −0.596295 | − | 0.802765i | \(-0.703361\pi\) |
0.802765 | + | 0.596295i | \(0.203361\pi\) | |||||||
\(54\) | −1.22623 | − | 2.16357i | −0.166869 | − | 0.294425i | ||||
\(55\) | − | 2.32045i | − | 0.312889i | ||||||
\(56\) | −8.80078 | − | 9.23248i | −1.17605 | − | 1.23374i | ||||
\(57\) | − | 9.79472i | − | 1.29734i | ||||||
\(58\) | −1.60942 | + | 0.912155i | −0.211327 | + | 0.119772i | ||||
\(59\) | −5.31807 | + | 5.31807i | −0.692353 | + | 0.692353i | −0.962749 | − | 0.270396i | \(-0.912845\pi\) |
0.270396 | + | 0.962749i | \(0.412845\pi\) | |||||||
\(60\) | 4.43492 | + | 2.65574i | 0.572546 | + | 0.342855i | ||||
\(61\) | −1.02169 | − | 1.02169i | −0.130815 | − | 0.130815i | 0.638668 | − | 0.769483i | \(-0.279486\pi\) |
−0.769483 | + | 0.638668i | \(0.779486\pi\) | |||||||
\(62\) | 2.71541 | − | 9.81998i | 0.344857 | − | 1.24714i | ||||
\(63\) | 16.5970 | 2.09103 | ||||||||
\(64\) | 0.382800 | − | 7.99084i | 0.0478499 | − | 0.998855i | ||||
\(65\) | −2.14759 | −0.266375 | ||||||||
\(66\) | 2.26054 | − | 8.17499i | 0.278253 | − | 1.00627i | ||||
\(67\) | 5.22745 | + | 5.22745i | 0.638635 | + | 0.638635i | 0.950219 | − | 0.311584i | \(-0.100859\pi\) |
−0.311584 | + | 0.950219i | \(0.600859\pi\) | |||||||
\(68\) | −2.49859 | − | 1.49622i | −0.302998 | − | 0.181443i | ||||
\(69\) | 4.33918 | − | 4.33918i | 0.522376 | − | 0.522376i | ||||
\(70\) | −5.54838 | + | 3.14461i | −0.663158 | + | 0.375853i | ||||
\(71\) | 1.92097i | 0.227978i | 0.993482 | + | 0.113989i | \(0.0363628\pi\) | ||||
−0.993482 | + | 0.113989i | \(0.963637\pi\) | |||||||
\(72\) | 7.18247 | + | 7.53478i | 0.846462 | + | 0.887983i | ||||
\(73\) | 1.39412i | 0.163169i | 0.996666 | + | 0.0815847i | \(0.0259981\pi\) | ||||
−0.996666 | + | 0.0815847i | \(0.974002\pi\) | |||||||
\(74\) | −5.13905 | − | 9.06740i | −0.597403 | − | 1.05406i | ||||
\(75\) | 1.82762 | − | 1.82762i | 0.211035 | − | 0.211035i | ||||
\(76\) | 1.84458 | + | 7.35129i | 0.211587 | + | 0.843250i | ||||
\(77\) | 7.39938 | + | 7.39938i | 0.843237 | + | 0.843237i | ||||
\(78\) | −7.56600 | − | 2.09214i | −0.856681 | − | 0.236888i | ||||
\(79\) | 5.06317 | 0.569651 | 0.284825 | − | 0.958579i | \(-0.408064\pi\) | ||||
0.284825 | + | 0.958579i | \(0.408064\pi\) | |||||||
\(80\) | −3.82870 | − | 1.15803i | −0.428062 | − | 0.129471i | ||||
\(81\) | 6.49599 | 0.721777 | ||||||||
\(82\) | −8.73949 | − | 2.41663i | −0.965115 | − | 0.266872i | ||||
\(83\) | −2.44974 | − | 2.44974i | −0.268894 | − | 0.268894i | 0.559761 | − | 0.828654i | \(-0.310893\pi\) |
−0.828654 | + | 0.559761i | \(0.810893\pi\) | |||||||
\(84\) | −22.6105 | + | 5.67340i | −2.46701 | + | 0.619019i | ||||
\(85\) | −1.02966 | + | 1.02966i | −0.111682 | + | 0.111682i | ||||
\(86\) | 7.55194 | + | 13.3247i | 0.814347 | + | 1.43684i | ||||
\(87\) | 3.38097i | 0.362478i | ||||||||
\(88\) | −0.157070 | + | 6.56133i | −0.0167437 | + | 0.699440i | ||||
\(89\) | − | 9.36007i | − | 0.992165i | −0.868275 | − | 0.496083i | \(-0.834771\pi\) | ||
0.868275 | − | 0.496083i | \(-0.165229\pi\) | |||||||
\(90\) | 4.52813 | − | 2.56637i | 0.477307 | − | 0.270519i | ||||
\(91\) | 6.84817 | − | 6.84817i | 0.717883 | − | 0.717883i | ||||
\(92\) | −2.43954 | + | 4.07388i | −0.254340 | + | 0.424731i | ||||
\(93\) | −13.1668 | − | 13.1668i | −1.36533 | − | 1.36533i | ||||
\(94\) | 0.946152 | − | 3.42166i | 0.0975882 | − | 0.352917i | ||||
\(95\) | 3.78959 | 0.388803 | ||||||||
\(96\) | −12.3605 | − | 7.80961i | −1.26154 | − | 0.797065i | ||||
\(97\) | 18.6313 | 1.89172 | 0.945859 | − | 0.324579i | \(-0.105223\pi\) | ||||
0.945859 | + | 0.324579i | \(0.105223\pi\) | |||||||
\(98\) | 5.02671 | − | 18.1785i | 0.507774 | − | 1.83631i | ||||
\(99\) | −6.03876 | − | 6.03876i | −0.606918 | − | 0.606918i | ||||
\(100\) | −1.02751 | + | 1.71587i | −0.102751 | + | 0.171587i | ||||
\(101\) | −4.84108 | + | 4.84108i | −0.481705 | + | 0.481705i | −0.905676 | − | 0.423971i | \(-0.860636\pi\) |
0.423971 | + | 0.905676i | \(0.360636\pi\) | |||||||
\(102\) | −4.63059 | + | 2.62444i | −0.458497 | + | 0.259858i | ||||
\(103\) | 9.12540i | 0.899153i | 0.893242 | + | 0.449576i | \(0.148425\pi\) | ||||
−0.893242 | + | 0.449576i | \(0.851575\pi\) | |||||||
\(104\) | 6.07255 | + | 0.145369i | 0.595463 | + | 0.0142546i | ||||
\(105\) | 11.6557i | 1.13748i | ||||||||
\(106\) | 1.48230 | + | 2.61539i | 0.143974 | + | 0.254029i | ||||
\(107\) | −10.1505 | + | 10.1505i | −0.981290 | + | 0.981290i | −0.999828 | − | 0.0185385i | \(-0.994099\pi\) |
0.0185385 | + | 0.999828i | \(0.494099\pi\) | |||||||
\(108\) | 3.41127 | − | 0.855951i | 0.328249 | − | 0.0823639i | ||||
\(109\) | 1.35489 | + | 1.35489i | 0.129775 | + | 0.129775i | 0.769011 | − | 0.639236i | \(-0.220749\pi\) |
−0.639236 | + | 0.769011i | \(0.720749\pi\) | |||||||
\(110\) | 3.16291 | + | 0.874603i | 0.301572 | + | 0.0833902i | ||||
\(111\) | −19.0483 | −1.80798 | ||||||||
\(112\) | 15.9016 | − | 8.51618i | 1.50256 | − | 0.804704i | ||||
\(113\) | −2.56039 | −0.240861 | −0.120431 | − | 0.992722i | \(-0.538428\pi\) | ||||
−0.120431 | + | 0.992722i | \(0.538428\pi\) | |||||||
\(114\) | 13.3508 | + | 3.69175i | 1.25042 | + | 0.345764i | ||||
\(115\) | 1.67883 | + | 1.67883i | 0.156552 | + | 0.156552i | ||||
\(116\) | −0.636716 | − | 2.53754i | −0.0591176 | − | 0.235604i | ||||
\(117\) | −5.58891 | + | 5.58891i | −0.516695 | + | 0.516695i | ||||
\(118\) | −5.24441 | − | 9.25329i | −0.482787 | − | 0.851835i | ||||
\(119\) | − | 6.56670i | − | 0.601969i | ||||||
\(120\) | −5.29151 | + | 5.04409i | −0.483047 | + | 0.460460i | ||||
\(121\) | 5.61553i | 0.510503i | ||||||||
\(122\) | 1.77772 | − | 1.00754i | 0.160947 | − | 0.0912188i | ||||
\(123\) | −11.7181 | + | 11.7181i | −1.05658 | + | 1.05658i | ||||
\(124\) | 12.3618 | + | 7.40253i | 1.11012 | + | 0.664767i | ||||
\(125\) | 0.707107 | + | 0.707107i | 0.0632456 | + | 0.0632456i | ||||
\(126\) | −6.25561 | + | 22.6228i | −0.557294 | + | 2.01540i | ||||
\(127\) | 13.7354 | 1.21882 | 0.609409 | − | 0.792856i | \(-0.291407\pi\) | ||||
0.609409 | + | 0.792856i | \(0.291407\pi\) | |||||||
\(128\) | 10.7477 | + | 3.53362i | 0.949973 | + | 0.312331i | ||||
\(129\) | 27.9918 | 2.46454 | ||||||||
\(130\) | 0.809451 | − | 2.92729i | 0.0709935 | − | 0.256741i | ||||
\(131\) | 5.20726 | + | 5.20726i | 0.454960 | + | 0.454960i | 0.896997 | − | 0.442037i | \(-0.145744\pi\) |
−0.442037 | + | 0.896997i | \(0.645744\pi\) | |||||||
\(132\) | 10.2910 | + | 6.16250i | 0.895716 | + | 0.536377i | ||||
\(133\) | −12.0841 | + | 12.0841i | −1.04783 | + | 1.04783i | ||||
\(134\) | −9.09563 | + | 5.15505i | −0.785743 | + | 0.445329i | ||||
\(135\) | − | 1.75851i | − | 0.151348i | ||||||
\(136\) | 2.98118 | − | 2.84179i | 0.255634 | − | 0.243681i | ||||
\(137\) | − | 22.7563i | − | 1.94420i | −0.234559 | − | 0.972102i | \(-0.575365\pi\) | ||
0.234559 | − | 0.972102i | \(-0.424635\pi\) | |||||||
\(138\) | 4.27908 | + | 7.55006i | 0.364260 | + | 0.642704i | ||||
\(139\) | 6.28085 | − | 6.28085i | 0.532734 | − | 0.532734i | −0.388651 | − | 0.921385i | \(-0.627059\pi\) |
0.921385 | + | 0.388651i | \(0.127059\pi\) | |||||||
\(140\) | −2.19505 | − | 8.74803i | −0.185515 | − | 0.739343i | ||||
\(141\) | −4.58782 | − | 4.58782i | −0.386364 | − | 0.386364i | ||||
\(142\) | −2.61841 | − | 0.724038i | −0.219732 | − | 0.0607599i | ||||
\(143\) | −4.98336 | −0.416729 | ||||||||
\(144\) | −12.9775 | + | 6.95020i | −1.08146 | + | 0.579184i | ||||
\(145\) | −1.30810 | −0.108632 | ||||||||
\(146\) | −1.90027 | − | 0.525460i | −0.157268 | − | 0.0434874i | ||||
\(147\) | −24.3741 | − | 24.3741i | −2.01034 | − | 2.01034i | ||||
\(148\) | 14.2964 | − | 3.58723i | 1.17516 | − | 0.294869i | ||||
\(149\) | −12.9574 | + | 12.9574i | −1.06151 | + | 1.06151i | −0.0635329 | + | 0.997980i | \(0.520237\pi\) |
−0.997980 | + | 0.0635329i | \(0.979763\pi\) | |||||||
\(150\) | 1.80230 | + | 3.18001i | 0.147158 | + | 0.259646i | ||||
\(151\) | − | 14.3417i | − | 1.16711i | −0.812073 | − | 0.583555i | \(-0.801661\pi\) | ||
0.812073 | − | 0.583555i | \(-0.198339\pi\) | |||||||
\(152\) | −10.7155 | − | 0.256515i | −0.869142 | − | 0.0208061i | ||||
\(153\) | 5.35920i | 0.433266i | ||||||||
\(154\) | −12.8747 | + | 7.29689i | −1.03747 | + | 0.588001i | ||||
\(155\) | 5.09425 | − | 5.09425i | 0.409180 | − | 0.409180i | ||||
\(156\) | 5.70343 | − | 9.52438i | 0.456640 | − | 0.762560i | ||||
\(157\) | −2.10564 | − | 2.10564i | −0.168049 | − | 0.168049i | 0.618073 | − | 0.786121i | \(-0.287914\pi\) |
−0.786121 | + | 0.618073i | \(0.787914\pi\) | |||||||
\(158\) | −1.90837 | + | 6.90141i | −0.151822 | + | 0.549047i | ||||
\(159\) | 5.49426 | 0.435723 | ||||||||
\(160\) | 3.02155 | − | 4.78229i | 0.238874 | − | 0.378073i | ||||
\(161\) | −10.7068 | −0.843817 | ||||||||
\(162\) | −2.44842 | + | 8.85444i | −0.192366 | + | 0.695671i | ||||
\(163\) | −5.34004 | − | 5.34004i | −0.418265 | − | 0.418265i | 0.466341 | − | 0.884605i | \(-0.345572\pi\) |
−0.884605 | + | 0.466341i | \(0.845572\pi\) | |||||||
\(164\) | 6.58804 | − | 11.0016i | 0.514439 | − | 0.859081i | ||||
\(165\) | 4.24089 | − | 4.24089i | 0.330153 | − | 0.330153i | ||||
\(166\) | 4.26248 | − | 2.41581i | 0.330833 | − | 0.187503i | ||||
\(167\) | 16.0686i | 1.24343i | 0.783245 | + | 0.621714i | \(0.213563\pi\) | ||||
−0.783245 | + | 0.621714i | \(0.786437\pi\) | |||||||
\(168\) | 0.788969 | − | 32.9579i | 0.0608702 | − | 2.54276i | ||||
\(169\) | − | 8.38787i | − | 0.645221i | ||||||
\(170\) | −1.01540 | − | 1.79158i | −0.0778775 | − | 0.137408i | ||||
\(171\) | 9.86207 | − | 9.86207i | 0.754171 | − | 0.754171i | ||||
\(172\) | −21.0088 | + | 5.27151i | −1.60191 | + | 0.401949i | ||||
\(173\) | 17.1133 | + | 17.1133i | 1.30110 | + | 1.30110i | 0.927649 | + | 0.373453i | \(0.121826\pi\) |
0.373453 | + | 0.927649i | \(0.378174\pi\) | |||||||
\(174\) | −4.60847 | − | 1.27433i | −0.349367 | − | 0.0966065i | ||||
\(175\) | −4.50961 | −0.340894 | ||||||||
\(176\) | −8.88430 | − | 2.68714i | −0.669679 | − | 0.202551i | ||||
\(177\) | −19.4388 | −1.46111 | ||||||||
\(178\) | 12.7584 | + | 3.52792i | 0.956279 | + | 0.264429i | ||||
\(179\) | 1.04482 | + | 1.04482i | 0.0780933 | + | 0.0780933i | 0.745075 | − | 0.666981i | \(-0.232414\pi\) |
−0.666981 | + | 0.745075i | \(0.732414\pi\) | |||||||
\(180\) | 1.79141 | + | 7.13942i | 0.133524 | + | 0.532141i | ||||
\(181\) | 11.9886 | − | 11.9886i | 0.891104 | − | 0.891104i | −0.103523 | − | 0.994627i | \(-0.533012\pi\) |
0.994627 | + | 0.103523i | \(0.0330115\pi\) | |||||||
\(182\) | 6.75332 | + | 11.9156i | 0.500589 | + | 0.883245i | ||||
\(183\) | − | 3.73453i | − | 0.276065i | ||||||
\(184\) | −4.63346 | − | 4.86074i | −0.341583 | − | 0.358338i | ||||
\(185\) | − | 7.36979i | − | 0.541838i | ||||||
\(186\) | 22.9099 | − | 12.9844i | 1.67983 | − | 0.952065i | ||||
\(187\) | −2.38927 | + | 2.38927i | −0.174721 | + | 0.174721i | ||||
\(188\) | 4.30732 | + | 2.57933i | 0.314143 | + | 0.188117i | ||||
\(189\) | 5.60748 | + | 5.60748i | 0.407884 | + | 0.407884i | ||||
\(190\) | −1.42834 | + | 5.16544i | −0.103623 | + | 0.374741i | ||||
\(191\) | 0.0667471 | 0.00482965 | 0.00241483 | − | 0.999997i | \(-0.499231\pi\) | ||||
0.00241483 | + | 0.999997i | \(0.499231\pi\) | |||||||
\(192\) | 15.3038 | − | 13.9046i | 1.10446 | − | 1.00348i | ||||
\(193\) | −1.09895 | −0.0791039 | −0.0395520 | − | 0.999218i | \(-0.512593\pi\) | ||||
−0.0395520 | + | 0.999218i | \(0.512593\pi\) | |||||||
\(194\) | −7.02234 | + | 25.3956i | −0.504175 | + | 1.82329i | ||||
\(195\) | −3.92497 | − | 3.92497i | −0.281073 | − | 0.281073i | ||||
\(196\) | 22.8839 | + | 13.7034i | 1.63456 | + | 0.978816i | ||||
\(197\) | 11.9289 | − | 11.9289i | 0.849899 | − | 0.849899i | −0.140222 | − | 0.990120i | \(-0.544782\pi\) |
0.990120 | + | 0.140222i | \(0.0447815\pi\) | |||||||
\(198\) | 10.5073 | − | 5.95512i | 0.746720 | − | 0.423212i | ||||
\(199\) | 11.0397i | 0.782584i | 0.920267 | + | 0.391292i | \(0.127972\pi\) | ||||
−0.920267 | + | 0.391292i | \(0.872028\pi\) | |||||||
\(200\) | −1.95156 | − | 2.04729i | −0.137996 | − | 0.144765i | ||||
\(201\) | 19.1076i | 1.34774i | ||||||||
\(202\) | −4.77403 | − | 8.42334i | −0.335899 | − | 0.592664i | ||||
\(203\) | 4.17123 | − | 4.17123i | 0.292763 | − | 0.292763i | ||||
\(204\) | −1.83195 | − | 7.30097i | −0.128262 | − | 0.511170i | ||||
\(205\) | −4.53373 | − | 4.53373i | −0.316649 | − | 0.316649i | ||||
\(206\) | −12.4385 | − | 3.43947i | −0.866631 | − | 0.239639i | ||||
\(207\) | 8.73803 | 0.607335 | ||||||||
\(208\) | −2.48696 | + | 8.22247i | −0.172440 | + | 0.570126i | ||||
\(209\) | 8.79353 | 0.608261 | ||||||||
\(210\) | −15.8875 | − | 4.39318i | −1.09634 | − | 0.303158i | ||||
\(211\) | −8.59737 | − | 8.59737i | −0.591868 | − | 0.591868i | 0.346268 | − | 0.938136i | \(-0.387449\pi\) |
−0.938136 | + | 0.346268i | \(0.887449\pi\) | |||||||
\(212\) | −4.12364 | + | 1.03470i | −0.283213 | + | 0.0710634i | ||||
\(213\) | −3.51080 | + | 3.51080i | −0.240556 | + | 0.240556i | ||||
\(214\) | −10.0100 | − | 17.6617i | −0.684266 | − | 1.20733i | ||||
\(215\) | 10.8301i | 0.738603i | ||||||||
\(216\) | −0.119032 | + | 4.97238i | −0.00809912 | + | 0.338328i | ||||
\(217\) | 32.4888i | 2.20548i | ||||||||
\(218\) | −2.35748 | + | 1.33613i | −0.159669 | + | 0.0904941i | ||||
\(219\) | −2.54792 | + | 2.54792i | −0.172172 | + | 0.172172i | ||||
\(220\) | −2.38428 | + | 3.98159i | −0.160748 | + | 0.268439i | ||||
\(221\) | 2.21128 | + | 2.21128i | 0.148747 | + | 0.148747i | ||||
\(222\) | 7.17951 | − | 25.9639i | 0.481857 | − | 1.74259i | ||||
\(223\) | −21.4238 | −1.43465 | −0.717323 | − | 0.696741i | \(-0.754633\pi\) | ||||
−0.717323 | + | 0.696741i | \(0.754633\pi\) | |||||||
\(224\) | 5.61460 | + | 24.8847i | 0.375141 | + | 1.66268i | ||||
\(225\) | 3.68037 | 0.245358 | ||||||||
\(226\) | 0.965041 | − | 3.48997i | 0.0641936 | − | 0.232149i | ||||
\(227\) | −8.06331 | − | 8.06331i | −0.535181 | − | 0.535181i | 0.386929 | − | 0.922110i | \(-0.373536\pi\) |
−0.922110 | + | 0.386929i | \(0.873536\pi\) | |||||||
\(228\) | −10.0642 | + | 16.8065i | −0.666515 | + | 1.11304i | ||||
\(229\) | 4.63169 | − | 4.63169i | 0.306071 | − | 0.306071i | −0.537313 | − | 0.843383i | \(-0.680560\pi\) |
0.843383 | + | 0.537313i | \(0.180560\pi\) | |||||||
\(230\) | −2.92112 | + | 1.65558i | −0.192613 | + | 0.109166i | ||||
\(231\) | 27.0465i | 1.77953i | ||||||||
\(232\) | 3.69880 | + | 0.0885445i | 0.242838 | + | 0.00581323i | ||||
\(233\) | − | 26.0672i | − | 1.70772i | −0.520502 | − | 0.853860i | \(-0.674255\pi\) | ||
0.520502 | − | 0.853860i | \(-0.325745\pi\) | |||||||
\(234\) | −5.51150 | − | 9.72455i | −0.360298 | − | 0.635714i | ||||
\(235\) | 1.77503 | − | 1.77503i | 0.115790 | − | 0.115790i | ||||
\(236\) | 14.5895 | − | 3.66078i | 0.949695 | − | 0.238296i | ||||
\(237\) | 9.25353 | + | 9.25353i | 0.601081 | + | 0.601081i | ||||
\(238\) | 8.95082 | + | 2.47507i | 0.580196 | + | 0.160435i | ||||
\(239\) | 5.12209 | 0.331320 | 0.165660 | − | 0.986183i | \(-0.447025\pi\) | ||||
0.165660 | + | 0.986183i | \(0.447025\pi\) | |||||||
\(240\) | −4.88097 | − | 9.11383i | −0.315066 | − | 0.588295i | ||||
\(241\) | 11.4987 | 0.740695 | 0.370347 | − | 0.928893i | \(-0.379239\pi\) | ||||
0.370347 | + | 0.928893i | \(0.379239\pi\) | |||||||
\(242\) | −7.65432 | − | 2.11656i | −0.492038 | − | 0.136058i | ||||
\(243\) | 15.6025 | + | 15.6025i | 1.00090 | + | 1.00090i | ||||
\(244\) | 0.703301 | + | 2.80290i | 0.0450242 | + | 0.179437i | ||||
\(245\) | 9.43037 | − | 9.43037i | 0.602484 | − | 0.602484i | ||||
\(246\) | −11.5558 | − | 20.3891i | −0.736769 | − | 1.29996i | ||||
\(247\) | − | 8.13847i | − | 0.517838i | ||||||
\(248\) | −14.7494 | + | 14.0598i | −0.936588 | + | 0.892795i | ||||
\(249\) | − | 8.95437i | − | 0.567460i | ||||||
\(250\) | −1.23035 | + | 0.697313i | −0.0778140 | + | 0.0441020i | ||||
\(251\) | −19.8270 | + | 19.8270i | −1.25147 | + | 1.25147i | −0.296408 | + | 0.955061i | \(0.595789\pi\) |
−0.955061 | + | 0.296408i | \(0.904211\pi\) | |||||||
\(252\) | −28.4784 | − | 17.0536i | −1.79397 | − | 1.07427i | ||||
\(253\) | 3.89564 | + | 3.89564i | 0.244917 | + | 0.244917i | ||||
\(254\) | −5.17703 | + | 18.7222i | −0.324836 | + | 1.17473i | ||||
\(255\) | −3.76365 | −0.235689 | ||||||||
\(256\) | −8.86749 | + | 13.3179i | −0.554218 | + | 0.832372i | ||||
\(257\) | −24.2494 | −1.51264 | −0.756319 | − | 0.654203i | \(-0.773004\pi\) | ||||
−0.756319 | + | 0.654203i | \(0.773004\pi\) | |||||||
\(258\) | −10.5504 | + | 38.1545i | −0.656842 | + | 2.37540i | ||||
\(259\) | 23.5006 | + | 23.5006i | 1.46026 | + | 1.46026i | ||||
\(260\) | 3.68499 | + | 2.20666i | 0.228533 | + | 0.136851i | ||||
\(261\) | −3.40422 | + | 3.40422i | −0.210716 | + | 0.210716i | ||||
\(262\) | −9.06049 | + | 5.13514i | −0.559759 | + | 0.317250i | ||||
\(263\) | − | 22.5680i | − | 1.39160i | −0.718234 | − | 0.695802i | \(-0.755049\pi\) | ||
0.718234 | − | 0.695802i | \(-0.244951\pi\) | |||||||
\(264\) | −12.2787 | + | 11.7045i | −0.755700 | + | 0.720365i | ||||
\(265\) | 2.12574i | 0.130583i | ||||||||
\(266\) | −11.9168 | − | 21.0261i | −0.730664 | − | 1.28919i | ||||
\(267\) | 17.1066 | − | 17.1066i | 1.04691 | − | 1.04691i | ||||
\(268\) | −3.59840 | − | 14.3409i | −0.219807 | − | 0.876010i | ||||
\(269\) | −5.10558 | − | 5.10558i | −0.311293 | − | 0.311293i | 0.534117 | − | 0.845410i | \(-0.320644\pi\) |
−0.845410 | + | 0.534117i | \(0.820644\pi\) | |||||||
\(270\) | 2.39695 | + | 0.662802i | 0.145874 | + | 0.0403369i | ||||
\(271\) | 6.67920 | 0.405733 | 0.202866 | − | 0.979206i | \(-0.434974\pi\) | ||||
0.202866 | + | 0.979206i | \(0.434974\pi\) | |||||||
\(272\) | 2.74989 | + | 5.13464i | 0.166736 | + | 0.311333i | ||||
\(273\) | 25.0317 | 1.51498 | ||||||||
\(274\) | 31.0183 | + | 8.57713i | 1.87388 | + | 0.518163i | ||||
\(275\) | 1.64080 | + | 1.64080i | 0.0989441 | + | 0.0989441i | ||||
\(276\) | −11.9040 | + | 2.98695i | −0.716539 | + | 0.179793i | ||||
\(277\) | −11.8524 | + | 11.8524i | −0.712141 | + | 0.712141i | −0.966983 | − | 0.254842i | \(-0.917977\pi\) |
0.254842 | + | 0.966983i | \(0.417977\pi\) | |||||||
\(278\) | 6.19386 | + | 10.9285i | 0.371483 | + | 0.655448i | ||||
\(279\) | − | 26.5147i | − | 1.58739i | ||||||
\(280\) | 12.7514 | + | 0.305253i | 0.762044 | + | 0.0182423i | ||||
\(281\) | − | 0.477460i | − | 0.0284829i | −0.999899 | − | 0.0142414i | \(-0.995467\pi\) | ||
0.999899 | − | 0.0142414i | \(-0.00453334\pi\) | |||||||
\(282\) | 7.98269 | − | 4.52428i | 0.475362 | − | 0.269417i | ||||
\(283\) | −0.482914 | + | 0.482914i | −0.0287063 | + | 0.0287063i | −0.721314 | − | 0.692608i | \(-0.756462\pi\) |
0.692608 | + | 0.721314i | \(0.256462\pi\) | |||||||
\(284\) | 1.97382 | − | 3.29615i | 0.117124 | − | 0.195591i | ||||
\(285\) | 6.92591 | + | 6.92591i | 0.410256 | + | 0.410256i | ||||
\(286\) | 1.87829 | − | 6.79263i | 0.111065 | − | 0.401656i | ||||
\(287\) | 28.9141 | 1.70674 | ||||||||
\(288\) | −4.58217 | − | 20.3088i | −0.270007 | − | 1.19671i | ||||
\(289\) | −14.8796 | −0.875271 | ||||||||
\(290\) | 0.493038 | − | 1.78302i | 0.0289522 | − | 0.104703i | ||||
\(291\) | 34.0508 | + | 34.0508i | 1.99609 | + | 1.99609i | ||||
\(292\) | 1.43247 | − | 2.39214i | 0.0838290 | − | 0.139989i | ||||
\(293\) | 7.46638 | − | 7.46638i | 0.436190 | − | 0.436190i | −0.454537 | − | 0.890728i | \(-0.650195\pi\) |
0.890728 | + | 0.454537i | \(0.150195\pi\) | |||||||
\(294\) | 42.4103 | − | 24.0365i | 2.47342 | − | 1.40184i | ||||
\(295\) | − | 7.52088i | − | 0.437883i | ||||||
\(296\) | −0.498857 | + | 20.8389i | −0.0289955 | + | 1.21124i | ||||
\(297\) | − | 4.08052i | − | 0.236776i | ||||||
\(298\) | −12.7780 | − | 22.5456i | −0.740207 | − | 1.30603i | ||||
\(299\) | 3.60544 | − | 3.60544i | 0.208508 | − | 0.208508i | ||||
\(300\) | −5.01385 | + | 1.25807i | −0.289475 | + | 0.0726347i | ||||
\(301\) | −34.5346 | − | 34.5346i | −1.99054 | − | 1.99054i | ||||
\(302\) | 19.5486 | + | 5.40556i | 1.12490 | + | 0.311055i | ||||
\(303\) | −17.6953 | −1.01657 | ||||||||
\(304\) | 4.38845 | − | 14.5092i | 0.251695 | − | 0.832160i | ||||
\(305\) | 1.44489 | 0.0827344 | ||||||||
\(306\) | −7.30492 | − | 2.01995i | −0.417595 | − | 0.115473i | ||||
\(307\) | 2.39349 | + | 2.39349i | 0.136604 | + | 0.136604i | 0.772102 | − | 0.635498i | \(-0.219205\pi\) |
−0.635498 | + | 0.772102i | \(0.719205\pi\) | |||||||
\(308\) | −5.09348 | − | 20.2993i | −0.290228 | − | 1.15666i | ||||
\(309\) | −16.6777 | + | 16.6777i | −0.948764 | + | 0.948764i | ||||
\(310\) | 5.02369 | + | 8.86386i | 0.285327 | + | 0.503433i | ||||
\(311\) | − | 20.4404i | − | 1.15907i | −0.814948 | − | 0.579534i | \(-0.803235\pi\) | ||
0.814948 | − | 0.579534i | \(-0.196765\pi\) | |||||||
\(312\) | 10.8326 | + | 11.3640i | 0.613276 | + | 0.643359i | ||||
\(313\) | 2.46975i | 0.139598i | 0.997561 | + | 0.0697992i | \(0.0222359\pi\) | ||||
−0.997561 | + | 0.0697992i | \(0.977764\pi\) | |||||||
\(314\) | 3.66376 | − | 2.07648i | 0.206758 | − | 0.117182i | ||||
\(315\) | −11.7359 | + | 11.7359i | −0.661241 | + | 0.661241i | ||||
\(316\) | −8.68776 | − | 5.20245i | −0.488725 | − | 0.292660i | ||||
\(317\) | −16.2241 | − | 16.2241i | −0.911234 | − | 0.911234i | 0.0851350 | − | 0.996369i | \(-0.472868\pi\) |
−0.996369 | + | 0.0851350i | \(0.972868\pi\) | |||||||
\(318\) | −2.07085 | + | 7.48902i | −0.116128 | + | 0.419963i | ||||
\(319\) | −3.03537 | −0.169948 | ||||||||
\(320\) | 5.37969 | + | 5.92105i | 0.300734 | + | 0.330997i | ||||
\(321\) | −37.1026 | −2.07086 | ||||||||
\(322\) | 4.03553 | − | 14.5941i | 0.224891 | − | 0.813296i | ||||
\(323\) | −3.90198 | − | 3.90198i | −0.217112 | − | 0.217112i | ||||
\(324\) | −11.1463 | − | 6.67469i | −0.619240 | − | 0.370816i | ||||
\(325\) | 1.51857 | − | 1.51857i | 0.0842353 | − | 0.0842353i | ||||
\(326\) | 9.29154 | − | 5.26608i | 0.514611 | − | 0.291661i | ||||
\(327\) | 4.95246i | 0.273871i | ||||||||
\(328\) | 12.5128 | + | 13.1265i | 0.690902 | + | 0.724792i | ||||
\(329\) | 11.3204i | 0.624111i | ||||||||
\(330\) | 4.18215 | + | 7.37903i | 0.230220 | + | 0.406202i | ||||
\(331\) | 3.42340 | − | 3.42340i | 0.188167 | − | 0.188167i | −0.606736 | − | 0.794903i | \(-0.707521\pi\) |
0.794903 | + | 0.606736i | \(0.207521\pi\) | |||||||
\(332\) | 1.68632 | + | 6.72057i | 0.0925487 | + | 0.368839i | ||||
\(333\) | −19.1792 | − | 19.1792i | −1.05102 | − | 1.05102i | ||||
\(334\) | −21.9025 | − | 6.05645i | −1.19845 | − | 0.331394i | ||||
\(335\) | −7.39273 | −0.403908 | ||||||||
\(336\) | 44.6263 | + | 13.4976i | 2.43456 | + | 0.736356i | ||||
\(337\) | −5.40017 | −0.294166 | −0.147083 | − | 0.989124i | \(-0.546988\pi\) | ||||
−0.147083 | + | 0.989124i | \(0.546988\pi\) | |||||||
\(338\) | 11.4332 | + | 3.16149i | 0.621883 | + | 0.171962i | ||||
\(339\) | −4.67941 | − | 4.67941i | −0.254151 | − | 0.254151i | ||||
\(340\) | 2.82475 | − | 0.708783i | 0.153194 | − | 0.0384392i | ||||
\(341\) | 11.8209 | − | 11.8209i | 0.640139 | − | 0.640139i | ||||
\(342\) | 9.72548 | + | 17.1597i | 0.525894 | + | 0.927893i | ||||
\(343\) | 28.5754i | 1.54292i | ||||||||
\(344\) | 0.733080 | − | 30.6232i | 0.0395250 | − | 1.65109i | ||||
\(345\) | 6.13653i | 0.330379i | ||||||||
\(346\) | −29.7767 | + | 16.8763i | −1.60081 | + | 0.907276i | ||||
\(347\) | −4.07531 | + | 4.07531i | −0.218774 | + | 0.218774i | −0.807982 | − | 0.589208i | \(-0.799440\pi\) |
0.589208 | + | 0.807982i | \(0.299440\pi\) | |||||||
\(348\) | 3.47397 | − | 5.80132i | 0.186224 | − | 0.310983i | ||||
\(349\) | 1.55681 | + | 1.55681i | 0.0833339 | + | 0.0833339i | 0.747545 | − | 0.664211i | \(-0.231232\pi\) |
−0.664211 | + | 0.747545i | \(0.731232\pi\) | |||||||
\(350\) | 1.69972 | − | 6.14687i | 0.0908541 | − | 0.328564i | ||||
\(351\) | −3.77655 | −0.201577 | ||||||||
\(352\) | 7.01133 | − | 11.0970i | 0.373705 | − | 0.591474i | ||||
\(353\) | 1.34919 | 0.0718103 | 0.0359052 | − | 0.999355i | \(-0.488569\pi\) | ||||
0.0359052 | + | 0.999355i | \(0.488569\pi\) | |||||||
\(354\) | 7.32670 | − | 26.4963i | 0.389410 | − | 1.40826i | ||||
\(355\) | −1.35833 | − | 1.35833i | −0.0720929 | − | 0.0720929i | ||||
\(356\) | −9.61755 | + | 16.0607i | −0.509729 | + | 0.851216i | ||||
\(357\) | 12.0014 | − | 12.0014i | 0.635182 | − | 0.635182i | ||||
\(358\) | −1.81795 | + | 1.03035i | −0.0960819 | + | 0.0544555i | ||||
\(359\) | − | 23.2192i | − | 1.22546i | −0.790291 | − | 0.612732i | \(-0.790071\pi\) | ||
0.790291 | − | 0.612732i | \(-0.209929\pi\) | |||||||
\(360\) | −10.4067 | − | 0.249122i | −0.548480 | − | 0.0131299i | ||||
\(361\) | − | 4.63903i | − | 0.244159i | ||||||
\(362\) | 11.8225 | + | 20.8598i | 0.621379 | + | 1.09637i | ||||
\(363\) | −10.2630 | + | 10.2630i | −0.538670 | + | 0.538670i | ||||
\(364\) | −18.7871 | + | 4.71405i | −0.984714 | + | 0.247083i | ||||
\(365\) | −0.985792 | − | 0.985792i | −0.0515987 | − | 0.0515987i | ||||
\(366\) | 5.09040 | + | 1.40759i | 0.266080 | + | 0.0735759i | ||||
\(367\) | −5.16452 | −0.269586 | −0.134793 | − | 0.990874i | \(-0.543037\pi\) | ||||
−0.134793 | + | 0.990874i | \(0.543037\pi\) | |||||||
\(368\) | 8.37189 | − | 4.48362i | 0.436415 | − | 0.233725i | ||||
\(369\) | −23.5973 | −1.22843 | ||||||||
\(370\) | 10.0455 | + | 2.77776i | 0.522239 | + | 0.144409i | ||||
\(371\) | −6.77849 | − | 6.77849i | −0.351922 | − | 0.351922i | ||||
\(372\) | 9.06359 | + | 36.1216i | 0.469925 | + | 1.87282i | ||||
\(373\) | 18.5056 | − | 18.5056i | 0.958185 | − | 0.958185i | −0.0409750 | − | 0.999160i | \(-0.513046\pi\) |
0.999160 | + | 0.0409750i | \(0.0130464\pi\) | |||||||
\(374\) | −2.35618 | − | 4.15727i | −0.121835 | − | 0.214967i | ||||
\(375\) | 2.58464i | 0.133470i | ||||||||
\(376\) | −5.13926 | + | 4.89896i | −0.265037 | + | 0.252645i | ||||
\(377\) | 2.80926i | 0.144684i | ||||||||
\(378\) | −9.75687 | + | 5.52982i | −0.501839 | + | 0.284423i | ||||
\(379\) | −13.5254 | + | 13.5254i | −0.694754 | + | 0.694754i | −0.963274 | − | 0.268520i | \(-0.913465\pi\) |
0.268520 | + | 0.963274i | \(0.413465\pi\) | |||||||
\(380\) | −6.50246 | − | 3.89383i | −0.333569 | − | 0.199749i | ||||
\(381\) | 25.1030 | + | 25.1030i | 1.28607 | + | 1.28607i | ||||
\(382\) | −0.0251578 | + | 0.0909805i | −0.00128718 | + | 0.00465497i | ||||
\(383\) | 21.9051 | 1.11930 | 0.559650 | − | 0.828729i | \(-0.310936\pi\) | ||||
0.559650 | + | 0.828729i | \(0.310936\pi\) | |||||||
\(384\) | 13.1846 | + | 26.1008i | 0.672825 | + | 1.33195i | ||||
\(385\) | −10.4643 | −0.533310 | ||||||||
\(386\) | 0.414206 | − | 1.49793i | 0.0210825 | − | 0.0762427i | ||||
\(387\) | 28.1843 | + | 28.1843i | 1.43269 | + | 1.43269i | ||||
\(388\) | −31.9689 | − | 19.1438i | −1.62298 | − | 0.971878i | ||||
\(389\) | 4.48844 | − | 4.48844i | 0.227573 | − | 0.227573i | −0.584105 | − | 0.811678i | \(-0.698554\pi\) |
0.811678 | + | 0.584105i | \(0.198554\pi\) | |||||||
\(390\) | 6.82934 | − | 3.87061i | 0.345817 | − | 0.195996i | ||||
\(391\) | − | 3.45725i | − | 0.174841i | ||||||
\(392\) | −27.3038 | + | 26.0271i | −1.37905 | + | 1.31457i | ||||
\(393\) | 19.0337i | 0.960126i | ||||||||
\(394\) | 11.7637 | + | 20.7560i | 0.592646 | + | 1.04567i | ||||
\(395\) | −3.58020 | + | 3.58020i | −0.180139 | + | 0.180139i | ||||
\(396\) | 4.15688 | + | 16.5666i | 0.208891 | + | 0.832504i | ||||
\(397\) | 11.7892 | + | 11.7892i | 0.591682 | + | 0.591682i | 0.938086 | − | 0.346404i | \(-0.112597\pi\) |
−0.346404 | + | 0.938086i | \(0.612597\pi\) | |||||||
\(398\) | −15.0478 | − | 4.16100i | −0.754278 | − | 0.208572i | ||||
\(399\) | −44.1703 | −2.21128 | ||||||||
\(400\) | 3.52615 | − | 1.88845i | 0.176308 | − | 0.0944227i | ||||
\(401\) | 24.9259 | 1.24474 | 0.622371 | − | 0.782722i | \(-0.286170\pi\) | ||||
0.622371 | + | 0.782722i | \(0.286170\pi\) | |||||||
\(402\) | −26.0448 | − | 7.20187i | −1.29900 | − | 0.359196i | ||||
\(403\) | −10.9403 | − | 10.9403i | −0.544977 | − | 0.544977i | ||||
\(404\) | 13.2809 | − | 3.33244i | 0.660751 | − | 0.165795i | ||||
\(405\) | −4.59336 | + | 4.59336i | −0.228246 | + | 0.228246i | ||||
\(406\) | 4.11346 | + | 7.25784i | 0.204148 | + | 0.360200i | ||||
\(407\) | − | 17.1012i | − | 0.847675i | ||||||
\(408\) | 10.6422 | + | 0.254759i | 0.526865 | + | 0.0126125i | ||||
\(409\) | 21.5355i | 1.06486i | 0.846474 | + | 0.532430i | \(0.178721\pi\) | ||||
−0.846474 | + | 0.532430i | \(0.821279\pi\) | |||||||
\(410\) | 7.88857 | − | 4.47094i | 0.389589 | − | 0.220804i | ||||
\(411\) | 41.5898 | − | 41.5898i | 2.05148 | − | 2.05148i | ||||
\(412\) | 9.37643 | − | 15.6581i | 0.461943 | − | 0.771417i | ||||
\(413\) | 23.9824 | + | 23.9824i | 1.18010 | + | 1.18010i | ||||
\(414\) | −3.29347 | + | 11.9105i | −0.161865 | + | 0.585368i | ||||
\(415\) | 3.46445 | 0.170063 | ||||||||
\(416\) | −10.2704 | − | 6.48903i | −0.503546 | − | 0.318151i | ||||
\(417\) | 22.9580 | 1.12426 | ||||||||
\(418\) | −3.31439 | + | 11.9861i | −0.162112 | + | 0.586261i | ||||
\(419\) | −17.2979 | − | 17.2979i | −0.845060 | − | 0.845060i | 0.144452 | − | 0.989512i | \(-0.453858\pi\) |
−0.989512 | + | 0.144452i | \(0.953858\pi\) | |||||||
\(420\) | 11.9763 | − | 19.9997i | 0.584386 | − | 0.975888i | ||||
\(421\) | −19.4330 | + | 19.4330i | −0.947105 | + | 0.947105i | −0.998670 | − | 0.0515648i | \(-0.983579\pi\) |
0.0515648 | + | 0.998670i | \(0.483579\pi\) | |||||||
\(422\) | 14.9592 | − | 8.47830i | 0.728203 | − | 0.412717i | ||||
\(423\) | − | 9.23874i | − | 0.449203i | ||||||
\(424\) | 0.143890 | − | 6.01077i | 0.00698791 | − | 0.291909i | ||||
\(425\) | − | 1.45616i | − | 0.0706341i | ||||||
\(426\) | −3.46218 | − | 6.10871i | −0.167743 | − | 0.295968i | ||||
\(427\) | −4.60744 | + | 4.60744i | −0.222970 | + | 0.222970i | ||||
\(428\) | 27.8468 | − | 6.98729i | 1.34603 | − | 0.337744i | ||||
\(429\) | −9.10767 | − | 9.10767i | −0.439723 | − | 0.439723i | ||||
\(430\) | −14.7620 | − | 4.08198i | −0.711888 | − | 0.196850i | ||||
\(431\) | 28.3769 | 1.36687 | 0.683433 | − | 0.730013i | \(-0.260486\pi\) | ||||
0.683433 | + | 0.730013i | \(0.260486\pi\) | |||||||
\(432\) | −6.73280 | − | 2.03640i | −0.323932 | − | 0.0979763i | ||||
\(433\) | 9.04007 | 0.434438 | 0.217219 | − | 0.976123i | \(-0.430301\pi\) | ||||
0.217219 | + | 0.976123i | \(0.430301\pi\) | |||||||
\(434\) | −44.2842 | − | 12.2454i | −2.12571 | − | 0.587799i | ||||
\(435\) | −2.39071 | − | 2.39071i | −0.114626 | − | 0.114626i | ||||
\(436\) | −0.932664 | − | 3.71699i | −0.0446665 | − | 0.178012i | ||||
\(437\) | −6.36208 | + | 6.36208i | −0.304340 | + | 0.304340i | ||||
\(438\) | −2.51263 | − | 4.43331i | −0.120058 | − | 0.211832i | ||||
\(439\) | 28.2949i | 1.35044i | 0.737615 | + | 0.675221i | \(0.235952\pi\) | ||||
−0.737615 | + | 0.675221i | \(0.764048\pi\) | |||||||
\(440\) | −4.52850 | − | 4.75063i | −0.215888 | − | 0.226477i | ||||
\(441\) | − | 49.0834i | − | 2.33731i | ||||||
\(442\) | −3.84757 | + | 2.18066i | −0.183010 | + | 0.103723i | ||||
\(443\) | −13.1232 | + | 13.1232i | −0.623504 | + | 0.623504i | −0.946426 | − | 0.322922i | \(-0.895335\pi\) |
0.322922 | + | 0.946426i | \(0.395335\pi\) | |||||||
\(444\) | 32.6844 | + | 19.5722i | 1.55113 | + | 0.928857i | ||||
\(445\) | 6.61857 | + | 6.61857i | 0.313750 | + | 0.313750i | ||||
\(446\) | 8.07489 | − | 29.2020i | 0.382357 | − | 1.38275i | ||||
\(447\) | −47.3624 | −2.24016 | ||||||||
\(448\) | −36.0355 | − | 1.72628i | −1.70252 | − | 0.0815588i | ||||
\(449\) | −14.3902 | −0.679116 | −0.339558 | − | 0.940585i | \(-0.610277\pi\) | ||||
−0.339558 | + | 0.940585i | \(0.610277\pi\) | |||||||
\(450\) | −1.38717 | + | 5.01657i | −0.0653920 | + | 0.236483i | ||||
\(451\) | −10.5203 | − | 10.5203i | −0.495380 | − | 0.495380i | ||||
\(452\) | 4.39331 | + | 2.63082i | 0.206644 | + | 0.123743i | ||||
\(453\) | 26.2111 | − | 26.2111i | 1.23151 | − | 1.23151i | ||||
\(454\) | 14.0299 | − | 7.95163i | 0.658458 | − | 0.373189i | ||||
\(455\) | 9.68477i | 0.454029i | ||||||||
\(456\) | −19.1150 | − | 20.0526i | −0.895143 | − | 0.939051i | ||||
\(457\) | − | 4.54538i | − | 0.212624i | −0.994333 | − | 0.106312i | \(-0.966096\pi\) | ||
0.994333 | − | 0.106312i | \(-0.0339042\pi\) | |||||||
\(458\) | 4.56754 | + | 8.05902i | 0.213427 | + | 0.376573i | ||||
\(459\) | −1.81066 | + | 1.81066i | −0.0845146 | + | 0.0845146i | ||||
\(460\) | −1.15565 | − | 4.60568i | −0.0538826 | − | 0.214741i | ||||
\(461\) | 19.8046 | + | 19.8046i | 0.922393 | + | 0.922393i | 0.997198 | − | 0.0748050i | \(-0.0238334\pi\) |
−0.0748050 | + | 0.997198i | \(0.523833\pi\) | |||||||
\(462\) | −36.8660 | − | 10.1941i | −1.71516 | − | 0.474274i | ||||
\(463\) | −14.5997 | −0.678506 | −0.339253 | − | 0.940695i | \(-0.610174\pi\) | ||||
−0.339253 | + | 0.940695i | \(0.610174\pi\) | |||||||
\(464\) | −1.51481 | + | 5.00833i | −0.0703235 | + | 0.232506i | ||||
\(465\) | 18.6207 | 0.863513 | ||||||||
\(466\) | 35.5312 | + | 9.82505i | 1.64595 | + | 0.455137i | ||||
\(467\) | 19.8105 | + | 19.8105i | 0.916722 | + | 0.916722i | 0.996789 | − | 0.0800671i | \(-0.0255135\pi\) |
−0.0800671 | + | 0.996789i | \(0.525513\pi\) | |||||||
\(468\) | 15.3325 | − | 3.84722i | 0.708746 | − | 0.177838i | ||||
\(469\) | 23.5738 | − | 23.5738i | 1.08853 | − | 1.08853i | ||||
\(470\) | 1.75045 | + | 3.08851i | 0.0807421 | + | 0.142462i | ||||
\(471\) | − | 7.69661i | − | 0.354641i | ||||||
\(472\) | −0.509084 | + | 21.2662i | −0.0234325 | + | 0.978855i | ||||
\(473\) | 25.1306i | 1.15550i | ||||||||
\(474\) | −16.1009 | + | 9.12537i | −0.739539 | + | 0.419142i | ||||
\(475\) | −2.67964 | + | 2.67964i | −0.122950 | + | 0.122950i | ||||
\(476\) | −6.74734 | + | 11.2676i | −0.309264 | + | 0.516451i | ||||
\(477\) | 5.53204 | + | 5.53204i | 0.253295 | + | 0.253295i | ||||
\(478\) | −1.93058 | + | 6.98172i | −0.0883025 | + | 0.319337i | ||||
\(479\) | 21.0378 | 0.961243 | 0.480621 | − | 0.876928i | \(-0.340411\pi\) | ||||
0.480621 | + | 0.876928i | \(0.340411\pi\) | |||||||
\(480\) | 14.2624 | − | 3.21796i | 0.650987 | − | 0.146879i | ||||
\(481\) | −15.8273 | −0.721661 | ||||||||
\(482\) | −4.33399 | + | 15.6734i | −0.197408 | + | 0.713904i | ||||
\(483\) | −19.5680 | − | 19.5680i | −0.890375 | − | 0.890375i | ||||
\(484\) | 5.77000 | − | 9.63555i | 0.262273 | − | 0.437980i | ||||
\(485\) | −13.1743 | + | 13.1743i | −0.598214 | + | 0.598214i | ||||
\(486\) | −27.1480 | + | 15.3865i | −1.23146 | + | 0.697944i | ||||
\(487\) | 10.2724i | 0.465485i | 0.972538 | + | 0.232743i | \(0.0747699\pi\) | ||||
−0.972538 | + | 0.232743i | \(0.925230\pi\) | |||||||
\(488\) | −4.08561 | − | 0.0978041i | −0.184947 | − | 0.00442738i | ||||
\(489\) | − | 19.5191i | − | 0.882685i | ||||||
\(490\) | 9.29976 | + | 16.4086i | 0.420120 | + | 0.741265i | ||||
\(491\) | −5.95681 | + | 5.95681i | −0.268827 | + | 0.268827i | −0.828627 | − | 0.559801i | \(-0.810878\pi\) |
0.559801 | + | 0.828627i | \(0.310878\pi\) | |||||||
\(492\) | 32.1471 | − | 8.06632i | 1.44930 | − | 0.363658i | ||||
\(493\) | 1.34690 | + | 1.34690i | 0.0606612 | + | 0.0606612i | ||||
\(494\) | 11.0932 | + | 3.06748i | 0.499108 | + | 0.138013i | ||||
\(495\) | 8.54009 | 0.383849 | ||||||||
\(496\) | −13.6051 | − | 25.4036i | −0.610886 | − | 1.14066i | ||||
\(497\) | 8.66284 | 0.388581 | ||||||||
\(498\) | 12.2054 | + | 3.37501i | 0.546935 | + | 0.151238i | ||||
\(499\) | −2.81466 | − | 2.81466i | −0.126002 | − | 0.126002i | 0.641294 | − | 0.767295i | \(-0.278398\pi\) |
−0.767295 | + | 0.641294i | \(0.778398\pi\) | |||||||
\(500\) | −0.486749 | − | 1.93986i | −0.0217681 | − | 0.0867534i | ||||
\(501\) | −29.3673 | + | 29.3673i | −1.31203 | + | 1.31203i | ||||
\(502\) | −19.5524 | − | 34.4985i | −0.872666 | − | 1.53974i | ||||
\(503\) | − | 5.49759i | − | 0.245125i | −0.992461 | − | 0.122563i | \(-0.960889\pi\) | ||
0.992461 | − | 0.122563i | \(-0.0391113\pi\) | |||||||
\(504\) | 33.9789 | − | 32.3901i | 1.51354 | − | 1.44277i | ||||
\(505\) | − | 6.84632i | − | 0.304657i | ||||||
\(506\) | −6.77831 | + | 3.84169i | −0.301333 | + | 0.170784i | ||||
\(507\) | 15.3298 | − | 15.3298i | 0.680821 | − | 0.680821i | ||||
\(508\) | −23.5682 | − | 14.1132i | −1.04567 | − | 0.626173i | ||||
\(509\) | −4.37578 | − | 4.37578i | −0.193953 | − | 0.193953i | 0.603449 | − | 0.797402i | \(-0.293793\pi\) |
−0.797402 | + | 0.603449i | \(0.793793\pi\) | |||||||
\(510\) | 1.41856 | − | 5.13008i | 0.0628150 | − | 0.227164i | ||||
\(511\) | 6.28693 | 0.278118 | ||||||||
\(512\) | −14.8109 | − | 17.1066i | −0.654556 | − | 0.756013i | ||||
\(513\) | 6.66402 | 0.294224 | ||||||||
\(514\) | 9.13990 | − | 33.0535i | 0.403144 | − | 1.45793i | ||||
\(515\) | −6.45263 | − | 6.45263i | −0.284337 | − | 0.284337i | ||||
\(516\) | −48.0304 | − | 28.7618i | −2.11442 | − | 1.26617i | ||||
\(517\) | 4.11887 | − | 4.11887i | 0.181148 | − | 0.181148i | ||||
\(518\) | −40.8904 | + | 23.1751i | −1.79662 | + | 1.01826i | ||||
\(519\) | 62.5532i | 2.74578i | ||||||||
\(520\) | −4.39673 | + | 4.19115i | −0.192810 | + | 0.183794i | ||||
\(521\) | 33.8729i | 1.48400i | 0.670401 | + | 0.741999i | \(0.266122\pi\) | ||||
−0.670401 | + | 0.741999i | \(0.733878\pi\) | |||||||
\(522\) | −3.35707 | − | 5.92325i | −0.146935 | − | 0.259253i | ||||
\(523\) | 27.8060 | − | 27.8060i | 1.21587 | − | 1.21587i | 0.246804 | − | 0.969065i | \(-0.420620\pi\) |
0.969065 | − | 0.246804i | \(-0.0793803\pi\) | |||||||
\(524\) | −3.58450 | − | 14.2855i | −0.156590 | − | 0.624065i | ||||
\(525\) | −8.24183 | − | 8.24183i | −0.359703 | − | 0.359703i | ||||
\(526\) | 30.7616 | + | 8.50615i | 1.34127 | + | 0.370886i | ||||
\(527\) | −10.4907 | −0.456981 | ||||||||
\(528\) | −11.3260 | − | 21.1482i | −0.492902 | − | 0.920356i | ||||
\(529\) | 17.3630 | 0.754915 | ||||||||
\(530\) | −2.89751 | − | 0.801215i | −0.125860 | − | 0.0348025i | ||||
\(531\) | −19.5724 | − | 19.5724i | −0.849372 | − | 0.849372i | ||||
\(532\) | 33.1514 | − | 8.31832i | 1.43730 | − | 0.360645i | ||||
\(533\) | −9.73658 | + | 9.73658i | −0.421738 | + | 0.421738i | ||||
\(534\) | 16.8697 | + | 29.7651i | 0.730023 | + | 1.28806i | ||||
\(535\) | − | 14.3550i | − | 0.620622i | ||||||
\(536\) | 20.9038 | + | 0.500410i | 0.902907 | + | 0.0216144i | ||||
\(537\) | 3.81905i | 0.164804i | ||||||||
\(538\) | 8.88358 | − | 5.03487i | 0.382998 | − | 0.217069i | ||||
\(539\) | 21.8827 | − | 21.8827i | 0.942553 | − | 0.942553i | ||||
\(540\) | −1.80688 | + | 3.01738i | −0.0777558 | + | 0.129847i | ||||
\(541\) | 3.03066 | + | 3.03066i | 0.130298 | + | 0.130298i | 0.769248 | − | 0.638950i | \(-0.220631\pi\) |
−0.638950 | + | 0.769248i | \(0.720631\pi\) | |||||||
\(542\) | −2.51747 | + | 9.10416i | −0.108135 | + | 0.391057i | ||||
\(543\) | 43.8211 | 1.88054 | ||||||||
\(544\) | −8.03529 | + | 1.81296i | −0.344510 | + | 0.0777301i | ||||
\(545\) | −1.91611 | −0.0820771 | ||||||||
\(546\) | −9.43473 | + | 34.1197i | −0.403769 | + | 1.46019i | ||||
\(547\) | −18.4783 | − | 18.4783i | −0.790074 | − | 0.790074i | 0.191432 | − | 0.981506i | \(-0.438687\pi\) |
−0.981506 | + | 0.191432i | \(0.938687\pi\) | |||||||
\(548\) | −23.3823 | + | 39.0470i | −0.998843 | + | 1.66801i | ||||
\(549\) | 3.76021 | − | 3.76021i | 0.160482 | − | 0.160482i | ||||
\(550\) | −2.85495 | + | 1.61808i | −0.121736 | + | 0.0689951i | ||||
\(551\) | − | 4.95716i | − | 0.211182i | ||||||
\(552\) | 0.415378 | − | 17.3517i | 0.0176797 | − | 0.738539i | ||||
\(553\) | − | 22.8329i | − | 0.970953i | ||||||
\(554\) | −11.6882 | − | 20.6228i | −0.496585 | − | 0.876181i | ||||
\(555\) | 13.4691 | − | 13.4691i | 0.571734 | − | 0.571734i | ||||
\(556\) | −17.2308 | + | 4.32353i | −0.730747 | + | 0.183358i | ||||
\(557\) | −30.2060 | − | 30.2060i | −1.27987 | − | 1.27987i | −0.940741 | − | 0.339127i | \(-0.889868\pi\) |
−0.339127 | − | 0.940741i | \(-0.610132\pi\) | |||||||
\(558\) | 36.1411 | + | 9.99370i | 1.52998 | + | 0.423067i | ||||
\(559\) | 23.2585 | 0.983729 | ||||||||
\(560\) | −5.22225 | + | 17.2659i | −0.220680 | + | 0.729620i | ||||
\(561\) | −8.73334 | −0.368722 | ||||||||
\(562\) | 0.650807 | + | 0.179960i | 0.0274526 | + | 0.00759117i | ||||
\(563\) | 2.86747 | + | 2.86747i | 0.120850 | + | 0.120850i | 0.764945 | − | 0.644095i | \(-0.222766\pi\) |
−0.644095 | + | 0.764945i | \(0.722766\pi\) | |||||||
\(564\) | 3.15810 | + | 12.5862i | 0.132980 | + | 0.529973i | ||||
\(565\) | 1.81047 | − | 1.81047i | 0.0761670 | − | 0.0761670i | ||||
\(566\) | −0.476226 | − | 0.840258i | −0.0200173 | − | 0.0353187i | ||||
\(567\) | − | 29.2944i | − | 1.23025i | ||||||
\(568\) | 3.74890 | + | 3.93279i | 0.157300 | + | 0.165016i | ||||
\(569\) | 35.8628i | 1.50345i | 0.659479 | + | 0.751723i | \(0.270777\pi\) | ||||
−0.659479 | + | 0.751723i | \(0.729223\pi\) | |||||||
\(570\) | −12.0509 | + | 6.82999i | −0.504757 | + | 0.286077i | ||||
\(571\) | −17.6509 | + | 17.6509i | −0.738667 | + | 0.738667i | −0.972320 | − | 0.233653i | \(-0.924932\pi\) |
0.233653 | + | 0.972320i | \(0.424932\pi\) | |||||||
\(572\) | 8.55082 | + | 5.12044i | 0.357528 | + | 0.214096i | ||||
\(573\) | 0.121988 | + | 0.121988i | 0.00509613 | + | 0.00509613i | ||||
\(574\) | −10.8981 | + | 39.4117i | −0.454876 | + | 1.64501i | ||||
\(575\) | −2.37423 | −0.0990122 | ||||||||
\(576\) | 29.4092 | + | 1.40884i | 1.22538 | + | 0.0587018i | ||||
\(577\) | 36.1387 | 1.50448 | 0.752238 | − | 0.658892i | \(-0.228975\pi\) | ||||
0.752238 | + | 0.658892i | \(0.228975\pi\) | |||||||
\(578\) | 5.60830 | − | 20.2818i | 0.233274 | − | 0.843612i | ||||
\(579\) | −2.00845 | − | 2.00845i | −0.0834685 | − | 0.0834685i | ||||
\(580\) | 2.24454 | + | 1.34408i | 0.0931993 | + | 0.0558100i | ||||
\(581\) | −11.0474 | + | 11.0474i | −0.458322 | + | 0.458322i | ||||
\(582\) | −59.2475 | + | 33.5792i | −2.45589 | + | 1.39190i | ||||
\(583\) | 4.93265i | 0.204290i | ||||||||
\(584\) | 2.72071 | + | 2.85417i | 0.112584 | + | 0.118106i | ||||
\(585\) | − | 7.90391i | − | 0.326786i | ||||||
\(586\) | 7.36297 | + | 12.9913i | 0.304161 | + | 0.536666i | ||||
\(587\) | −11.4005 | + | 11.4005i | −0.470550 | + | 0.470550i | −0.902093 | − | 0.431542i | \(-0.857970\pi\) |
0.431542 | + | 0.902093i | \(0.357970\pi\) | |||||||
\(588\) | 16.7783 | + | 66.8675i | 0.691927 | + | 2.75757i | ||||
\(589\) | 19.3051 | + | 19.3051i | 0.795453 | + | 0.795453i | ||||
\(590\) | 10.2514 | + | 2.83471i | 0.422045 | + | 0.116703i | ||||
\(591\) | 43.6029 | 1.79358 | ||||||||
\(592\) | −28.2167 | − | 8.53441i | −1.15970 | − | 0.350762i | ||||
\(593\) | −35.0454 | −1.43914 | −0.719572 | − | 0.694418i | \(-0.755662\pi\) | ||||
−0.719572 | + | 0.694418i | \(0.755662\pi\) | |||||||
\(594\) | 5.56200 | + | 1.53800i | 0.228212 | + | 0.0631048i | ||||
\(595\) | 4.64336 | + | 4.64336i | 0.190359 | + | 0.190359i | ||||
\(596\) | 35.5472 | − | 8.91945i | 1.45607 | − | 0.365355i | ||||
\(597\) | −20.1764 | + | 20.1764i | −0.825764 | + | 0.825764i | ||||
\(598\) | 3.55550 | + | 6.27337i | 0.145395 | + | 0.256537i | ||||
\(599\) | 18.2753i | 0.746707i | 0.927689 | + | 0.373354i | \(0.121792\pi\) | ||||
−0.927689 | + | 0.373354i | \(0.878208\pi\) | |||||||
\(600\) | 0.174953 | − | 7.30837i | 0.00714242 | − | 0.298363i | ||||
\(601\) | − | 0.480142i | − | 0.0195854i | −0.999952 | − | 0.00979269i | \(-0.996883\pi\) | ||
0.999952 | − | 0.00979269i | \(-0.00311716\pi\) | |||||||
\(602\) | 60.0893 | − | 34.0563i | 2.44906 | − | 1.38803i | ||||
\(603\) | −19.2389 | + | 19.2389i | −0.783470 | + | 0.783470i | ||||
\(604\) | −14.7362 | + | 24.6086i | −0.599608 | + | 1.00131i | ||||
\(605\) | −3.97078 | − | 3.97078i | −0.161435 | − | 0.161435i | ||||
\(606\) | 6.66956 | − | 24.1197i | 0.270932 | − | 0.979798i | ||||
\(607\) | −38.6107 | −1.56716 | −0.783581 | − | 0.621290i | \(-0.786609\pi\) | ||||
−0.783581 | + | 0.621290i | \(0.786609\pi\) | |||||||
\(608\) | 18.1229 | + | 11.4504i | 0.734980 | + | 0.464376i | ||||
\(609\) | 15.2468 | 0.617833 | ||||||||
\(610\) | −0.544598 | + | 1.96948i | −0.0220501 | + | 0.0797419i | ||||
\(611\) | −3.81204 | − | 3.81204i | −0.154218 | − | 0.154218i | ||||
\(612\) | 5.50662 | − | 9.19572i | 0.222592 | − | 0.371715i | ||||
\(613\) | −5.53592 | + | 5.53592i | −0.223594 | + | 0.223594i | −0.810010 | − | 0.586416i | \(-0.800538\pi\) |
0.586416 | + | 0.810010i | \(0.300538\pi\) | |||||||
\(614\) | −4.16461 | + | 2.36034i | −0.168070 | + | 0.0952557i | ||||
\(615\) | − | 16.5718i | − | 0.668241i | ||||||
\(616\) | 29.5890 | + | 0.708322i | 1.19218 | + | 0.0285391i | ||||
\(617\) | − | 31.8836i | − | 1.28358i | −0.766879 | − | 0.641792i | \(-0.778191\pi\) | ||
0.766879 | − | 0.641792i | \(-0.221809\pi\) | |||||||
\(618\) | −16.4468 | − | 29.0188i | −0.661586 | − | 1.16731i | ||||
\(619\) | −29.4054 | + | 29.4054i | −1.18190 | + | 1.18190i | −0.202650 | + | 0.979251i | \(0.564955\pi\) |
−0.979251 | + | 0.202650i | \(0.935045\pi\) | |||||||
\(620\) | −13.9755 | + | 3.50671i | −0.561269 | + | 0.140833i | ||||
\(621\) | 2.95224 | + | 2.95224i | 0.118469 | + | 0.118469i | ||||
\(622\) | 27.8615 | + | 7.70422i | 1.11714 | + | 0.308911i | ||||
\(623\) | −42.2102 | −1.69112 | ||||||||
\(624\) | −19.5728 | + | 10.4823i | −0.783537 | + | 0.419628i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | −3.36642 | − | 0.930878i | −0.134549 | − | 0.0372054i | ||||
\(627\) | 16.0712 | + | 16.0712i | 0.641822 | + | 0.641822i | ||||
\(628\) | 1.44945 | + | 5.77658i | 0.0578395 | + | 0.230511i | ||||
\(629\) | −7.58837 | + | 7.58837i | −0.302568 | + | 0.302568i | ||||
\(630\) | −11.5733 | − | 20.4201i | −0.461092 | − | 0.813556i | ||||
\(631\) | 30.7381i | 1.22367i | 0.790987 | + | 0.611833i | \(0.209568\pi\) | ||||
−0.790987 | + | 0.611833i | \(0.790432\pi\) | |||||||
\(632\) | 10.3658 | − | 9.88109i | 0.412328 | − | 0.393049i | ||||
\(633\) | − | 31.4254i | − | 1.24905i | ||||||
\(634\) | 28.2294 | − | 15.9994i | 1.12113 | − | 0.635416i | ||||
\(635\) | −9.71239 | + | 9.71239i | −0.385424 | + | 0.385424i | ||||
\(636\) | −9.42747 | − | 5.64540i | −0.373823 | − | 0.223855i | ||||
\(637\) | −20.2525 | − | 20.2525i | −0.802435 | − | 0.802435i | ||||
\(638\) | 1.14407 | − | 4.13740i | 0.0452941 | − | 0.163801i | ||||
\(639\) | −7.06989 | −0.279681 | ||||||||
\(640\) | −10.0984 | + | 5.10114i | −0.399176 | + | 0.201640i | ||||
\(641\) | 13.6348 | 0.538540 | 0.269270 | − | 0.963065i | \(-0.413218\pi\) | ||||
0.269270 | + | 0.963065i | \(0.413218\pi\) | |||||||
\(642\) | 13.9844 | − | 50.5731i | 0.551921 | − | 1.99596i | ||||
\(643\) | 14.9224 | + | 14.9224i | 0.588480 | + | 0.588480i | 0.937220 | − | 0.348740i | \(-0.113390\pi\) |
−0.348740 | + | 0.937220i | \(0.613390\pi\) | |||||||
\(644\) | 18.3716 | + | 11.0014i | 0.723942 | + | 0.433514i | ||||
\(645\) | −19.7932 | + | 19.7932i | −0.779356 | + | 0.779356i | ||||
\(646\) | 6.78935 | − | 3.84794i | 0.267123 | − | 0.151395i | ||||
\(647\) | 4.87972i | 0.191841i | 0.995389 | + | 0.0959207i | \(0.0305795\pi\) | ||||
−0.995389 | + | 0.0959207i | \(0.969420\pi\) | |||||||
\(648\) | 13.2992 | − | 12.6773i | 0.522442 | − | 0.498013i | ||||
\(649\) | − | 17.4518i | − | 0.685043i | ||||||
\(650\) | 1.49754 | + | 2.64228i | 0.0587384 | + | 0.103639i | ||||
\(651\) | −59.3771 | + | 59.3771i | −2.32717 | + | 2.32717i | ||||
\(652\) | 3.67591 | + | 14.6498i | 0.143960 | + | 0.573730i | ||||
\(653\) | −10.2913 | − | 10.2913i | −0.402731 | − | 0.402731i | 0.476463 | − | 0.879194i | \(-0.341919\pi\) |
−0.879194 | + | 0.476463i | \(0.841919\pi\) | |||||||
\(654\) | −6.75050 | − | 1.86664i | −0.263966 | − | 0.0729914i | ||||
\(655\) | −7.36417 | −0.287742 | ||||||||
\(656\) | −22.6085 | + | 12.1081i | −0.882713 | + | 0.472743i | ||||
\(657\) | −5.13088 | −0.200174 | ||||||||
\(658\) | −15.4303 | − | 4.26677i | −0.601537 | − | 0.166336i | ||||
\(659\) | −21.9025 | − | 21.9025i | −0.853201 | − | 0.853201i | 0.137325 | − | 0.990526i | \(-0.456149\pi\) |
−0.990526 | + | 0.137325i | \(0.956149\pi\) | |||||||
\(660\) | −11.6344 | + | 2.91928i | −0.452867 | + | 0.113633i | ||||
\(661\) | 5.40595 | − | 5.40595i | 0.210267 | − | 0.210267i | −0.594114 | − | 0.804381i | \(-0.702497\pi\) |
0.804381 | + | 0.594114i | \(0.202497\pi\) | |||||||
\(662\) | 3.37599 | + | 5.95663i | 0.131212 | + | 0.231511i | ||||
\(663\) | 8.08276i | 0.313908i | ||||||||
\(664\) | −9.79615 | − | 0.234507i | −0.380164 | − | 0.00910063i | ||||
\(665\) | − | 17.0895i | − | 0.662704i | ||||||
\(666\) | 33.3714 | − | 18.9136i | 1.29311 | − | 0.732887i | ||||
\(667\) | 2.19608 | − | 2.19608i | 0.0850326 | − | 0.0850326i | ||||
\(668\) | 16.5106 | − | 27.5717i | 0.638816 | − | 1.06678i | ||||
\(669\) | −39.1546 | − | 39.1546i | −1.51380 | − | 1.51380i | ||||
\(670\) | 2.78641 | − | 10.0768i | 0.107648 | − | 0.389299i | ||||
\(671\) | 3.35280 | 0.129433 | ||||||||
\(672\) | −35.2183 | + | 55.7410i | −1.35857 | + | 2.15025i | ||||
\(673\) | 35.3820 | 1.36388 | 0.681938 | − | 0.731410i | \(-0.261138\pi\) | ||||
0.681938 | + | 0.731410i | \(0.261138\pi\) | |||||||
\(674\) | 2.03539 | − | 7.36076i | 0.0784002 | − | 0.283526i | ||||
\(675\) | 1.24345 | + | 1.24345i | 0.0478605 | + | 0.0478605i | ||||
\(676\) | −8.61861 | + | 14.3925i | −0.331485 | + | 0.553559i | ||||
\(677\) | 5.17061 | − | 5.17061i | 0.198723 | − | 0.198723i | −0.600730 | − | 0.799452i | \(-0.705123\pi\) |
0.799452 | + | 0.600730i | \(0.205123\pi\) | |||||||
\(678\) | 8.14205 | − | 4.61460i | 0.312694 | − | 0.177223i | ||||
\(679\) | − | 84.0196i | − | 3.22438i | ||||||
\(680\) | −0.0985665 | + | 4.11746i | −0.00377985 | + | 0.157897i | ||||
\(681\) | − | 29.4733i | − | 1.12942i | ||||||
\(682\) | 11.6572 | + | 20.5681i | 0.446377 | + | 0.787593i | ||||
\(683\) | 26.5989 | − | 26.5989i | 1.01778 | − | 1.01778i | 0.0179409 | − | 0.999839i | \(-0.494289\pi\) |
0.999839 | − | 0.0179409i | \(-0.00571108\pi\) | |||||||
\(684\) | −27.0554 | + | 6.78872i | −1.03449 | + | 0.259573i | ||||
\(685\) | 16.0912 | + | 16.0912i | 0.614811 | + | 0.614811i | ||||
\(686\) | −38.9500 | − | 10.7704i | −1.48712 | − | 0.411216i | ||||
\(687\) | 16.9299 | 0.645916 | ||||||||
\(688\) | 41.4651 | + | 12.5415i | 1.58084 | + | 0.478140i | ||||
\(689\) | 4.56520 | 0.173920 | ||||||||
\(690\) | −8.36447 | − | 2.31293i | −0.318430 | − | 0.0880517i | ||||
\(691\) | −21.7989 | − | 21.7989i | −0.829270 | − | 0.829270i | 0.158146 | − | 0.987416i | \(-0.449448\pi\) |
−0.987416 | + | 0.158146i | \(0.949448\pi\) | |||||||
\(692\) | −11.7802 | − | 46.9484i | −0.447818 | − | 1.78471i | ||||
\(693\) | −27.2324 | + | 27.2324i | −1.03447 | + | 1.03447i | ||||
\(694\) | −4.01887 | − | 7.09093i | −0.152554 | − | 0.269168i | ||||
\(695\) | 8.88246i | 0.336931i | ||||||||
\(696\) | 6.59817 | + | 6.92182i | 0.250103 | + | 0.262371i | ||||
\(697\) | 9.33640i | 0.353641i | ||||||||
\(698\) | −2.70880 | + | 1.53524i | −0.102530 | + | 0.0581099i | ||||
\(699\) | 47.6409 | − | 47.6409i | 1.80194 | − | 1.80194i | ||||
\(700\) | 7.73792 | + | 4.63366i | 0.292466 | + | 0.175136i | ||||
\(701\) | −15.2175 | − | 15.2175i | −0.574756 | − | 0.574756i | 0.358698 | − | 0.933454i | \(-0.383221\pi\) |
−0.933454 | + | 0.358698i | \(0.883221\pi\) | |||||||
\(702\) | 1.42343 | − | 5.14767i | 0.0537237 | − | 0.194286i | ||||
\(703\) | 27.9285 | 1.05334 | ||||||||
\(704\) | 12.4833 | + | 13.7395i | 0.470482 | + | 0.517826i | ||||
\(705\) | 6.48816 | 0.244358 | ||||||||
\(706\) | −0.508527 | + | 1.83903i | −0.0191387 | + | 0.0692130i | ||||
\(707\) | 21.8313 | + | 21.8313i | 0.821052 | + | 0.821052i | ||||
\(708\) | 33.3545 | + | 19.9735i | 1.25354 | + | 0.750650i | ||||
\(709\) | 4.87350 | − | 4.87350i | 0.183028 | − | 0.183028i | −0.609646 | − | 0.792674i | \(-0.708688\pi\) |
0.792674 | + | 0.609646i | \(0.208688\pi\) | |||||||
\(710\) | 2.36346 | − | 1.33952i | 0.0886992 | − | 0.0502713i | ||||
\(711\) | 18.6343i | 0.698842i | ||||||||
\(712\) | −18.2668 | − | 19.1628i | −0.684576 | − | 0.718156i | ||||
\(713\) | 17.1048i | 0.640579i | ||||||||
\(714\) | 11.8352 | + | 20.8822i | 0.442921 | + | 0.781495i | ||||
\(715\) | 3.52377 | − | 3.52377i | 0.131781 | − | 0.131781i | ||||
\(716\) | −0.719218 | − | 2.86633i | −0.0268784 | − | 0.107120i | ||||
\(717\) | 9.36121 | + | 9.36121i | 0.349601 | + | 0.349601i | ||||
\(718\) | 31.6492 | + | 8.75160i | 1.18114 | + | 0.326607i | ||||
\(719\) | 9.27351 | 0.345843 | 0.172922 | − | 0.984936i | \(-0.444679\pi\) | ||||
0.172922 | + | 0.984936i | \(0.444679\pi\) | |||||||
\(720\) | 4.26197 | − | 14.0910i | 0.158834 | − | 0.525142i | ||||
\(721\) | 41.1520 | 1.53258 | ||||||||
\(722\) | 6.32328 | + | 1.74850i | 0.235328 | + | 0.0650726i | ||||
\(723\) | 21.0152 | + | 21.0152i | 0.781563 | + | 0.781563i | ||||
\(724\) | −32.8893 | + | 8.25254i | −1.22232 | + | 0.306703i | ||||
\(725\) | 0.924966 | − | 0.924966i | 0.0343524 | − | 0.0343524i | ||||
\(726\) | −10.1209 | − | 17.8574i | −0.375622 | − | 0.662751i | ||||
\(727\) | 10.6056i | 0.393341i | 0.980470 | + | 0.196670i | \(0.0630129\pi\) | ||||
−0.980470 | + | 0.196670i | \(0.936987\pi\) | |||||||
\(728\) | 0.655557 | − | 27.3848i | 0.0242965 | − | 1.01495i | ||||
\(729\) | 37.5430i | 1.39048i | ||||||||
\(730\) | 1.71525 | − | 0.972138i | 0.0634843 | − | 0.0359805i | ||||
\(731\) | 11.1513 | − | 11.1513i | 0.412445 | − | 0.412445i | ||||
\(732\) | −3.83726 | + | 6.40799i | −0.141829 | + | 0.236846i | ||||
\(733\) | −29.6530 | − | 29.6530i | −1.09526 | − | 1.09526i | −0.994957 | − | 0.100301i | \(-0.968019\pi\) |
−0.100301 | − | 0.994957i | \(-0.531981\pi\) | |||||||
\(734\) | 1.94657 | − | 7.03956i | 0.0718492 | − | 0.259835i | ||||
\(735\) | 34.4702 | 1.27145 | ||||||||
\(736\) | 2.95599 | + | 13.1013i | 0.108959 | + | 0.482921i | ||||
\(737\) | −17.1544 | −0.631892 | ||||||||
\(738\) | 8.89409 | − | 32.1645i | 0.327396 | − | 1.18399i | ||||
\(739\) | 30.8751 | + | 30.8751i | 1.13576 | + | 1.13576i | 0.989202 | + | 0.146559i | \(0.0468197\pi\) |
0.146559 | + | 0.989202i | \(0.453180\pi\) | |||||||
\(740\) | −7.57252 | + | 12.6456i | −0.278371 | + | 0.464863i | ||||
\(741\) | 14.8740 | − | 14.8740i | 0.546410 | − | 0.546410i | ||||
\(742\) | 11.7944 | − | 6.68461i | 0.432986 | − | 0.245400i | ||||
\(743\) | 22.3956i | 0.821617i | 0.911722 | + | 0.410808i | \(0.134753\pi\) | ||||
−0.911722 | + | 0.410808i | \(0.865247\pi\) | |||||||
\(744\) | −52.6521 | − | 1.26042i | −1.93032 | − | 0.0462093i | ||||
\(745\) | − | 18.3245i | − | 0.671360i | ||||||
\(746\) | 18.2493 | + | 32.1993i | 0.668155 | + | 1.17890i | ||||
\(747\) | 9.01594 | − | 9.01594i | 0.329876 | − | 0.329876i | ||||
\(748\) | 6.55468 | − | 1.64469i | 0.239663 | − | 0.0601359i | ||||
\(749\) | 45.7749 | + | 45.7749i | 1.67258 | + | 1.67258i | ||||
\(750\) | −3.52303 | − | 0.974182i | −0.128643 | − | 0.0355721i | ||||
\(751\) | 20.6448 | 0.753341 | 0.376670 | − | 0.926347i | \(-0.377069\pi\) | ||||
0.376670 | + | 0.926347i | \(0.377069\pi\) | |||||||
\(752\) | −4.74054 | − | 8.85161i | −0.172870 | − | 0.322785i | ||||
\(753\) | −72.4724 | −2.64104 | ||||||||
\(754\) | −3.82919 | − | 1.05884i | −0.139451 | − | 0.0385608i | ||||
\(755\) | 10.1411 | + | 10.1411i | 0.369073 | + | 0.369073i | ||||
\(756\) | −3.86000 | − | 15.3835i | −0.140387 | − | 0.559491i | ||||
\(757\) | 24.1323 | − | 24.1323i | 0.877104 | − | 0.877104i | −0.116130 | − | 0.993234i | \(-0.537049\pi\) |
0.993234 | + | 0.116130i | \(0.0370490\pi\) | |||||||
\(758\) | −13.3381 | − | 23.5339i | −0.484461 | − | 0.854788i | ||||
\(759\) | 14.2395i | 0.516860i | ||||||||
\(760\) | 7.75839 | − | 7.39562i | 0.281426 | − | 0.268267i | ||||
\(761\) | − | 50.1874i | − | 1.81929i | −0.415383 | − | 0.909647i | \(-0.636352\pi\) | ||
0.415383 | − | 0.909647i | \(-0.363648\pi\) | |||||||
\(762\) | −43.6786 | + | 24.7554i | −1.58231 | + | 0.896792i | ||||
\(763\) | 6.11004 | − | 6.11004i | 0.221198 | − | 0.221198i | ||||
\(764\) | −0.114530 | − | 0.0685832i | −0.00414354 | − | 0.00248125i | ||||
\(765\) | −3.78953 | − | 3.78953i | −0.137011 | − | 0.137011i | ||||
\(766\) | −8.25631 | + | 29.8581i | −0.298312 | + | 1.07882i | ||||
\(767\) | −16.1517 | −0.583206 | ||||||||
\(768\) | −40.5465 | + | 8.13374i | −1.46309 | + | 0.293501i | ||||
\(769\) | −28.6887 |