Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(419,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.419");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bq (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 419.13 | ||
Character | \(\chi\) | \(=\) | 546.419 |
Dual form | 546.2.bq.c.503.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 1.66375 | + | 0.481611i | 0.960564 | + | 0.278058i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −4.01418 | −1.79520 | −0.897599 | − | 0.440813i | \(-0.854690\pi\) | ||||
−0.897599 | + | 0.440813i | \(0.854690\pi\) | |||||||
\(6\) | −1.68165 | + | 0.414785i | −0.686532 | + | 0.169335i | ||||
\(7\) | 0.810131 | − | 2.51867i | 0.306201 | − | 0.951967i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.53610 | + | 1.60256i | 0.845367 | + | 0.534186i | ||||
\(10\) | 3.47639 | − | 2.00709i | 1.09933 | − | 0.634698i | ||||
\(11\) | 1.96455 | − | 1.13423i | 0.592333 | − | 0.341983i | −0.173687 | − | 0.984801i | \(-0.555568\pi\) |
0.766019 | + | 0.642818i | \(0.222235\pi\) | |||||||
\(12\) | 1.24896 | − | 1.20004i | 0.360544 | − | 0.346422i | ||||
\(13\) | −0.757550 | + | 3.52507i | −0.210107 | + | 0.977678i | ||||
\(14\) | 0.557740 | + | 2.58630i | 0.149062 | + | 0.691217i | ||||
\(15\) | −6.67858 | − | 1.93328i | −1.72440 | − | 0.499170i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 4.05976 | − | 7.03171i | 0.984637 | − | 1.70544i | 0.341098 | − | 0.940028i | \(-0.389201\pi\) |
0.643539 | − | 0.765413i | \(-0.277465\pi\) | |||||||
\(18\) | −2.99761 | − | 0.119805i | −0.706543 | − | 0.0282383i | ||||
\(19\) | 4.81117 | + | 2.77773i | 1.10376 | + | 0.637256i | 0.937206 | − | 0.348777i | \(-0.113403\pi\) |
0.166553 | + | 0.986032i | \(0.446736\pi\) | |||||||
\(20\) | −2.00709 | + | 3.47639i | −0.448800 | + | 0.777344i | ||||
\(21\) | 2.56087 | − | 3.80026i | 0.558828 | − | 0.829284i | ||||
\(22\) | −1.13423 | + | 1.96455i | −0.241819 | + | 0.418842i | ||||
\(23\) | 0.855244 | − | 0.493775i | 0.178331 | − | 0.102959i | −0.408177 | − | 0.912903i | \(-0.633836\pi\) |
0.586508 | + | 0.809943i | \(0.300502\pi\) | |||||||
\(24\) | −0.481611 | + | 1.66375i | −0.0983085 | + | 0.339611i | ||||
\(25\) | 11.1137 | 2.22274 | ||||||||
\(26\) | −1.10648 | − | 3.43158i | −0.216998 | − | 0.672987i | ||||
\(27\) | 3.44762 | + | 3.88766i | 0.663494 | + | 0.748181i | ||||
\(28\) | −1.77617 | − | 1.96093i | −0.335664 | − | 0.370581i | ||||
\(29\) | 6.90171 | − | 3.98470i | 1.28162 | − | 0.739941i | 0.304471 | − | 0.952521i | \(-0.401520\pi\) |
0.977144 | + | 0.212581i | \(0.0681868\pi\) | |||||||
\(30\) | 6.75046 | − | 1.66503i | 1.23246 | − | 0.303991i | ||||
\(31\) | − | 3.94262i | − | 0.708116i | −0.935223 | − | 0.354058i | \(-0.884802\pi\) | ||
0.935223 | − | 0.354058i | \(-0.115198\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 3.81476 | − | 0.940925i | 0.664065 | − | 0.163794i | ||||
\(34\) | 8.11952i | 1.39249i | ||||||||
\(35\) | −3.25201 | + | 10.1104i | −0.549691 | + | 1.70897i | ||||
\(36\) | 2.65591 | − | 1.39505i | 0.442651 | − | 0.232508i | ||||
\(37\) | −2.53038 | − | 4.38274i | −0.415992 | − | 0.720518i | 0.579540 | − | 0.814943i | \(-0.303232\pi\) |
−0.995532 | + | 0.0944250i | \(0.969899\pi\) | |||||||
\(38\) | −5.55547 | −0.901215 | ||||||||
\(39\) | −2.95808 | + | 5.49998i | −0.473673 | + | 0.880701i | ||||
\(40\) | − | 4.01418i | − | 0.634698i | ||||||
\(41\) | −0.351799 | − | 0.609334i | −0.0549418 | − | 0.0951619i | 0.837246 | − | 0.546826i | \(-0.184164\pi\) |
−0.892188 | + | 0.451664i | \(0.850831\pi\) | |||||||
\(42\) | −0.317651 | + | 4.57155i | −0.0490146 | + | 0.705406i | ||||
\(43\) | −1.30520 | + | 2.26067i | −0.199041 | + | 0.344749i | −0.948218 | − | 0.317621i | \(-0.897116\pi\) |
0.749177 | + | 0.662370i | \(0.230449\pi\) | |||||||
\(44\) | − | 2.26846i | − | 0.341983i | ||||||
\(45\) | −10.1804 | − | 6.43296i | −1.51760 | − | 0.958969i | ||||
\(46\) | −0.493775 | + | 0.855244i | −0.0728032 | + | 0.126099i | ||||
\(47\) | −2.33521 | −0.340625 | −0.170312 | − | 0.985390i | \(-0.554478\pi\) | ||||
−0.170312 | + | 0.985390i | \(0.554478\pi\) | |||||||
\(48\) | −0.414785 | − | 1.68165i | −0.0598691 | − | 0.242726i | ||||
\(49\) | −5.68738 | − | 4.08090i | −0.812482 | − | 0.582986i | ||||
\(50\) | −9.62473 | + | 5.55684i | −1.36114 | + | 0.785856i | ||||
\(51\) | 10.1410 | − | 9.74376i | 1.42002 | − | 1.36440i | ||||
\(52\) | 2.67402 | + | 2.41859i | 0.370821 | + | 0.335398i | ||||
\(53\) | 8.39199i | 1.15273i | 0.817193 | + | 0.576364i | \(0.195529\pi\) | ||||
−0.817193 | + | 0.576364i | \(0.804471\pi\) | |||||||
\(54\) | −4.92956 | − | 1.64301i | −0.670828 | − | 0.223585i | ||||
\(55\) | −7.88605 | + | 4.55301i | −1.06335 | + | 0.613928i | ||||
\(56\) | 2.51867 | + | 0.810131i | 0.336571 | + | 0.108258i | ||||
\(57\) | 6.66678 | + | 6.93856i | 0.883037 | + | 0.919034i | ||||
\(58\) | −3.98470 | + | 6.90171i | −0.523217 | + | 0.906239i | ||||
\(59\) | −4.38840 | + | 7.60093i | −0.571321 | + | 0.989557i | 0.425109 | + | 0.905142i | \(0.360236\pi\) |
−0.996431 | + | 0.0844154i | \(0.973098\pi\) | |||||||
\(60\) | −5.01356 | + | 4.81718i | −0.647248 | + | 0.621896i | ||||
\(61\) | −1.95343 | − | 1.12781i | −0.250111 | − | 0.144402i | 0.369704 | − | 0.929149i | \(-0.379459\pi\) |
−0.619815 | + | 0.784748i | \(0.712792\pi\) | |||||||
\(62\) | 1.97131 | + | 3.41441i | 0.250357 | + | 0.433631i | ||||
\(63\) | 6.09088 | − | 5.08932i | 0.767379 | − | 0.641194i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.04095 | − | 14.1503i | 0.377183 | − | 1.75513i | ||||
\(66\) | −2.83322 | + | 2.72225i | −0.348745 | + | 0.335085i | ||||
\(67\) | −1.70065 | − | 2.94561i | −0.207767 | − | 0.359864i | 0.743244 | − | 0.669021i | \(-0.233286\pi\) |
−0.951011 | + | 0.309157i | \(0.899953\pi\) | |||||||
\(68\) | −4.05976 | − | 7.03171i | −0.492318 | − | 0.852721i | ||||
\(69\) | 1.66072 | − | 0.409622i | 0.199927 | − | 0.0493127i | ||||
\(70\) | −2.23887 | − | 10.3819i | −0.267596 | − | 1.24087i | ||||
\(71\) | −0.00678280 | − | 0.00391605i | −0.000804971 | − | 0.000464750i | 0.499597 | − | 0.866258i | \(-0.333481\pi\) |
−0.500402 | + | 0.865793i | \(0.666815\pi\) | |||||||
\(72\) | −1.60256 | + | 2.53610i | −0.188863 | + | 0.298882i | ||||
\(73\) | − | 6.26312i | − | 0.733043i | −0.930410 | − | 0.366522i | \(-0.880549\pi\) | ||
0.930410 | − | 0.366522i | \(-0.119451\pi\) | |||||||
\(74\) | 4.38274 | + | 2.53038i | 0.509483 | + | 0.294150i | ||||
\(75\) | 18.4903 | + | 5.35247i | 2.13508 | + | 0.618050i | ||||
\(76\) | 4.81117 | − | 2.77773i | 0.551880 | − | 0.318628i | ||||
\(77\) | −1.26521 | − | 5.86691i | −0.144184 | − | 0.668597i | ||||
\(78\) | −0.188212 | − | 6.24216i | −0.0213108 | − | 0.706786i | ||||
\(79\) | 6.23858 | 0.701895 | 0.350947 | − | 0.936395i | \(-0.385860\pi\) | ||||
0.350947 | + | 0.936395i | \(0.385860\pi\) | |||||||
\(80\) | 2.00709 | + | 3.47639i | 0.224400 | + | 0.388672i | ||||
\(81\) | 3.86362 | + | 8.12850i | 0.429291 | + | 0.903166i | ||||
\(82\) | 0.609334 | + | 0.351799i | 0.0672896 | + | 0.0388497i | ||||
\(83\) | 3.69906 | 0.406025 | 0.203013 | − | 0.979176i | \(-0.434927\pi\) | ||||
0.203013 | + | 0.979176i | \(0.434927\pi\) | |||||||
\(84\) | −2.01068 | − | 4.11791i | −0.219383 | − | 0.449300i | ||||
\(85\) | −16.2966 | + | 28.2266i | −1.76762 | + | 3.06160i | ||||
\(86\) | − | 2.61039i | − | 0.281486i | ||||||
\(87\) | 13.4018 | − | 3.30559i | 1.43682 | − | 0.354397i | ||||
\(88\) | 1.13423 | + | 1.96455i | 0.120909 | + | 0.209421i | ||||
\(89\) | 2.36686 | + | 4.09953i | 0.250887 | + | 0.434549i | 0.963770 | − | 0.266734i | \(-0.0859444\pi\) |
−0.712883 | + | 0.701283i | \(0.752611\pi\) | |||||||
\(90\) | 12.0329 | + | 0.480919i | 1.26838 | + | 0.0506933i | ||||
\(91\) | 8.26477 | + | 4.76378i | 0.866383 | + | 0.499380i | ||||
\(92\) | − | 0.987551i | − | 0.102959i | ||||||
\(93\) | 1.89881 | − | 6.55952i | 0.196898 | − | 0.680191i | ||||
\(94\) | 2.02235 | − | 1.16760i | 0.208589 | − | 0.120429i | ||||
\(95\) | −19.3129 | − | 11.1503i | −1.98147 | − | 1.14400i | ||||
\(96\) | 1.20004 | + | 1.24896i | 0.122479 | + | 0.127472i | ||||
\(97\) | 4.88472 | + | 2.82020i | 0.495969 | + | 0.286348i | 0.727047 | − | 0.686587i | \(-0.240892\pi\) |
−0.231079 | + | 0.972935i | \(0.574225\pi\) | |||||||
\(98\) | 6.96586 | + | 0.690475i | 0.703658 | + | 0.0697485i | ||||
\(99\) | 6.79996 | + | 0.271773i | 0.683421 | + | 0.0273142i | ||||
\(100\) | 5.55684 | − | 9.62473i | 0.555684 | − | 0.962473i | ||||
\(101\) | −4.60849 | − | 7.98213i | −0.458562 | − | 0.794252i | 0.540324 | − | 0.841457i | \(-0.318302\pi\) |
−0.998885 | + | 0.0472054i | \(0.984968\pi\) | |||||||
\(102\) | −3.91045 | + | 13.5088i | −0.387193 | + | 1.33757i | ||||
\(103\) | 4.05811i | 0.399858i | 0.979810 | + | 0.199929i | \(0.0640711\pi\) | ||||
−0.979810 | + | 0.199929i | \(0.935929\pi\) | |||||||
\(104\) | −3.52507 | − | 0.757550i | −0.345662 | − | 0.0742839i | ||||
\(105\) | −10.2798 | + | 15.2549i | −1.00321 | + | 1.48873i | ||||
\(106\) | −4.19600 | − | 7.26768i | −0.407551 | − | 0.705899i | ||||
\(107\) | −9.97005 | + | 5.75621i | −0.963841 | + | 0.556474i | −0.897353 | − | 0.441313i | \(-0.854513\pi\) |
−0.0664881 | + | 0.997787i | \(0.521179\pi\) | |||||||
\(108\) | 5.09062 | − | 1.04189i | 0.489846 | − | 0.100256i | ||||
\(109\) | 2.34167 | 0.224292 | 0.112146 | − | 0.993692i | \(-0.464228\pi\) | ||||
0.112146 | + | 0.993692i | \(0.464228\pi\) | |||||||
\(110\) | 4.55301 | − | 7.88605i | 0.434113 | − | 0.751905i | ||||
\(111\) | −2.09913 | − | 8.51043i | −0.199240 | − | 0.807774i | ||||
\(112\) | −2.58630 | + | 0.557740i | −0.244382 | + | 0.0527015i | ||||
\(113\) | −3.95800 | − | 2.28515i | −0.372337 | − | 0.214969i | 0.302142 | − | 0.953263i | \(-0.402298\pi\) |
−0.674479 | + | 0.738294i | \(0.735632\pi\) | |||||||
\(114\) | −9.24288 | − | 2.67557i | −0.865675 | − | 0.250591i | ||||
\(115\) | −3.43311 | + | 1.98211i | −0.320139 | + | 0.184832i | ||||
\(116\) | − | 7.96941i | − | 0.739941i | ||||||
\(117\) | −7.57035 | + | 7.72592i | −0.699879 | + | 0.714261i | ||||
\(118\) | − | 8.77680i | − | 0.807970i | ||||||
\(119\) | −14.4216 | − | 15.9218i | −1.32203 | − | 1.45955i | ||||
\(120\) | 1.93328 | − | 6.67858i | 0.176483 | − | 0.609668i | ||||
\(121\) | −2.92704 | + | 5.06978i | −0.266095 | + | 0.460889i | ||||
\(122\) | 2.25562 | 0.204215 | ||||||||
\(123\) | −0.291842 | − | 1.18321i | −0.0263145 | − | 0.106686i | ||||
\(124\) | −3.41441 | − | 1.97131i | −0.306623 | − | 0.177029i | ||||
\(125\) | −24.5414 | −2.19505 | ||||||||
\(126\) | −2.73020 | + | 7.45292i | −0.243226 | + | 0.663959i | ||||
\(127\) | −0.733160 | − | 1.26987i | −0.0650575 | − | 0.112683i | 0.831662 | − | 0.555282i | \(-0.187390\pi\) |
−0.896719 | + | 0.442599i | \(0.854056\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −3.26028 | + | 3.13258i | −0.287052 | + | 0.275808i | ||||
\(130\) | 4.44160 | + | 13.7750i | 0.389554 | + | 1.20815i | ||||
\(131\) | 11.5506 | 1.00918 | 0.504592 | − | 0.863358i | \(-0.331643\pi\) | ||||
0.504592 | + | 0.863358i | \(0.331643\pi\) | |||||||
\(132\) | 1.09252 | − | 3.77414i | 0.0950914 | − | 0.328497i | ||||
\(133\) | 10.8939 | − | 9.86742i | 0.944618 | − | 0.855614i | ||||
\(134\) | 2.94561 | + | 1.70065i | 0.254462 | + | 0.146914i | ||||
\(135\) | −13.8394 | − | 15.6058i | −1.19110 | − | 1.34313i | ||||
\(136\) | 7.03171 | + | 4.05976i | 0.602964 | + | 0.348122i | ||||
\(137\) | −12.2325 | − | 7.06243i | −1.04509 | − | 0.603384i | −0.123821 | − | 0.992305i | \(-0.539515\pi\) |
−0.921271 | + | 0.388921i | \(0.872848\pi\) | |||||||
\(138\) | −1.23341 | + | 1.18510i | −0.104995 | + | 0.100883i | ||||
\(139\) | −12.1047 | − | 6.98865i | −1.02671 | − | 0.592770i | −0.110667 | − | 0.993857i | \(-0.535299\pi\) |
−0.916040 | + | 0.401088i | \(0.868632\pi\) | |||||||
\(140\) | 7.12985 | + | 7.87153i | 0.602583 | + | 0.665265i | ||||
\(141\) | −3.88519 | − | 1.12466i | −0.327192 | − | 0.0947135i | ||||
\(142\) | 0.00783211 | 0.000657256 | ||||||||
\(143\) | 2.51000 | + | 7.78440i | 0.209897 | + | 0.650964i | ||||
\(144\) | 0.119805 | − | 2.99761i | 0.00998374 | − | 0.249801i | ||||
\(145\) | −27.7047 | + | 15.9953i | −2.30075 | + | 1.32834i | ||||
\(146\) | 3.13156 | + | 5.42402i | 0.259170 | + | 0.448895i | ||||
\(147\) | −7.49694 | − | 9.52869i | −0.618337 | − | 0.785913i | ||||
\(148\) | −5.06076 | −0.415992 | ||||||||
\(149\) | 18.4080 | + | 10.6278i | 1.50804 | + | 0.870667i | 0.999956 | + | 0.00935860i | \(0.00297898\pi\) |
0.508083 | + | 0.861308i | \(0.330354\pi\) | |||||||
\(150\) | −18.6893 | + | 4.60979i | −1.52598 | + | 0.376388i | ||||
\(151\) | −8.28984 | −0.674617 | −0.337309 | − | 0.941394i | \(-0.609517\pi\) | ||||
−0.337309 | + | 0.941394i | \(0.609517\pi\) | |||||||
\(152\) | −2.77773 | + | 4.81117i | −0.225304 | + | 0.390238i | ||||
\(153\) | 21.5647 | − | 11.3271i | 1.74340 | − | 0.915745i | ||||
\(154\) | 4.02916 | + | 4.44829i | 0.324679 | + | 0.358453i | ||||
\(155\) | 15.8264i | 1.27121i | ||||||||
\(156\) | 3.28408 | + | 5.31176i | 0.262937 | + | 0.425282i | ||||
\(157\) | − | 3.16769i | − | 0.252809i | −0.991979 | − | 0.126405i | \(-0.959656\pi\) | ||
0.991979 | − | 0.126405i | \(-0.0403438\pi\) | |||||||
\(158\) | −5.40277 | + | 3.11929i | −0.429821 | + | 0.248157i | ||||
\(159\) | −4.04168 | + | 13.9621i | −0.320526 | + | 1.10727i | ||||
\(160\) | −3.47639 | − | 2.00709i | −0.274832 | − | 0.158675i | ||||
\(161\) | −0.550797 | − | 2.55410i | −0.0434089 | − | 0.201291i | ||||
\(162\) | −7.41024 | − | 5.10767i | −0.582203 | − | 0.401297i | ||||
\(163\) | 8.02328 | − | 13.8967i | 0.628432 | − | 1.08848i | −0.359435 | − | 0.933170i | \(-0.617030\pi\) |
0.987866 | − | 0.155306i | \(-0.0496363\pi\) | |||||||
\(164\) | −0.703598 | −0.0549418 | ||||||||
\(165\) | −15.3132 | + | 3.77705i | −1.19213 | + | 0.294043i | ||||
\(166\) | −3.20348 | + | 1.84953i | −0.248639 | + | 0.143552i | ||||
\(167\) | −3.78574 | − | 6.55709i | −0.292949 | − | 0.507403i | 0.681556 | − | 0.731766i | \(-0.261303\pi\) |
−0.974506 | + | 0.224362i | \(0.927970\pi\) | |||||||
\(168\) | 3.80026 | + | 2.56087i | 0.293196 | + | 0.197575i | ||||
\(169\) | −11.8522 | − | 5.34083i | −0.911710 | − | 0.410833i | ||||
\(170\) | − | 32.5933i | − | 2.49979i | ||||||
\(171\) | 7.75015 | + | 14.7548i | 0.592669 | + | 1.12833i | ||||
\(172\) | 1.30520 | + | 2.26067i | 0.0995204 | + | 0.172374i | ||||
\(173\) | 2.39162 | − | 4.14242i | 0.181832 | − | 0.314942i | −0.760673 | − | 0.649136i | \(-0.775131\pi\) |
0.942504 | + | 0.334194i | \(0.108464\pi\) | |||||||
\(174\) | −9.95347 | + | 9.56361i | −0.754571 | + | 0.725015i | ||||
\(175\) | 9.00353 | − | 27.9917i | 0.680603 | − | 2.11597i | ||||
\(176\) | −1.96455 | − | 1.13423i | −0.148083 | − | 0.0854959i | ||||
\(177\) | −10.9619 | + | 10.5325i | −0.823945 | + | 0.791673i | ||||
\(178\) | −4.09953 | − | 2.36686i | −0.307273 | − | 0.177404i | ||||
\(179\) | −12.4998 | + | 7.21674i | −0.934276 | + | 0.539405i | −0.888161 | − | 0.459532i | \(-0.848017\pi\) |
−0.0461146 | + | 0.998936i | \(0.514684\pi\) | |||||||
\(180\) | −10.6613 | + | 5.59999i | −0.794646 | + | 0.417398i | ||||
\(181\) | 13.4675i | 1.00103i | 0.865727 | + | 0.500516i | \(0.166856\pi\) | ||||
−0.865727 | + | 0.500516i | \(0.833144\pi\) | |||||||
\(182\) | −9.53939 | + | 0.00682425i | −0.707107 | + | 0.000505847i | ||||
\(183\) | −2.70684 | − | 2.81718i | −0.200095 | − | 0.208252i | ||||
\(184\) | 0.493775 | + | 0.855244i | 0.0364016 | + | 0.0630494i | ||||
\(185\) | 10.1574 | + | 17.5931i | 0.746787 | + | 1.29347i | ||||
\(186\) | 1.63534 | + | 6.63012i | 0.119909 | + | 0.486144i | ||||
\(187\) | − | 18.4188i | − | 1.34692i | ||||||
\(188\) | −1.16760 | + | 2.02235i | −0.0851562 | + | 0.147495i | ||||
\(189\) | 12.5848 | − | 5.53389i | 0.915406 | − | 0.402531i | ||||
\(190\) | 22.3007 | 1.61786 | ||||||||
\(191\) | 11.8282 | + | 6.82900i | 0.855856 | + | 0.494129i | 0.862622 | − | 0.505848i | \(-0.168820\pi\) |
−0.00676627 | + | 0.999977i | \(0.502154\pi\) | |||||||
\(192\) | −1.66375 | − | 0.481611i | −0.120071 | − | 0.0347573i | ||||
\(193\) | 7.64881 | + | 13.2481i | 0.550573 | + | 0.953621i | 0.998233 | + | 0.0594171i | \(0.0189242\pi\) |
−0.447660 | + | 0.894204i | \(0.647742\pi\) | |||||||
\(194\) | −5.64039 | −0.404957 | ||||||||
\(195\) | 11.8743 | − | 22.0779i | 0.850336 | − | 1.58103i | ||||
\(196\) | −6.37785 | + | 2.88496i | −0.455561 | + | 0.206069i | ||||
\(197\) | −7.62170 | + | 4.40039i | −0.543023 | + | 0.313515i | −0.746303 | − | 0.665606i | \(-0.768173\pi\) |
0.203280 | + | 0.979121i | \(0.434840\pi\) | |||||||
\(198\) | −6.02482 | + | 3.16462i | −0.428165 | + | 0.224899i | ||||
\(199\) | −19.7321 | − | 11.3924i | −1.39877 | − | 0.807583i | −0.404510 | − | 0.914534i | \(-0.632558\pi\) |
−0.994264 | + | 0.106951i | \(0.965891\pi\) | |||||||
\(200\) | 11.1137i | 0.785856i | ||||||||
\(201\) | −1.41081 | − | 5.71980i | −0.0995108 | − | 0.403443i | ||||
\(202\) | 7.98213 | + | 4.60849i | 0.561621 | + | 0.324252i | ||||
\(203\) | −4.44486 | − | 20.6112i | −0.311968 | − | 1.44663i | ||||
\(204\) | −3.36786 | − | 13.6542i | −0.235797 | − | 0.955986i | ||||
\(205\) | 1.41219 | + | 2.44598i | 0.0986313 | + | 0.170834i | ||||
\(206\) | −2.02906 | − | 3.51443i | −0.141371 | − | 0.244862i | ||||
\(207\) | 2.96029 | + | 0.118313i | 0.205754 | + | 0.00822335i | ||||
\(208\) | 3.43158 | − | 1.10648i | 0.237937 | − | 0.0767204i | ||||
\(209\) | 12.6024 | 0.871723 | ||||||||
\(210\) | 1.27511 | − | 18.3511i | 0.0879910 | − | 1.26634i | ||||
\(211\) | 6.62975 | + | 11.4831i | 0.456411 | + | 0.790527i | 0.998768 | − | 0.0496211i | \(-0.0158014\pi\) |
−0.542357 | + | 0.840148i | \(0.682468\pi\) | |||||||
\(212\) | 7.26768 | + | 4.19600i | 0.499146 | + | 0.288182i | ||||
\(213\) | −0.00939885 | − | 0.00978199i | −0.000643998 | − | 0.000670251i | ||||
\(214\) | 5.75621 | − | 9.97005i | 0.393487 | − | 0.681539i | ||||
\(215\) | 5.23930 | − | 9.07474i | 0.357318 | − | 0.618892i | ||||
\(216\) | −3.88766 | + | 3.44762i | −0.264522 | + | 0.234581i | ||||
\(217\) | −9.93016 | − | 3.19404i | −0.674103 | − | 0.216826i | ||||
\(218\) | −2.02795 | + | 1.17084i | −0.137350 | + | 0.0792991i | ||||
\(219\) | 3.01639 | − | 10.4202i | 0.203829 | − | 0.704135i | ||||
\(220\) | 9.10602i | 0.613928i | ||||||||
\(221\) | 21.7118 | + | 19.6378i | 1.46049 | + | 1.32098i | ||||
\(222\) | 6.07311 | + | 6.32068i | 0.407601 | + | 0.424217i | ||||
\(223\) | −7.43387 | + | 4.29194i | −0.497808 | + | 0.287410i | −0.727808 | − | 0.685781i | \(-0.759461\pi\) |
0.230000 | + | 0.973191i | \(0.426128\pi\) | |||||||
\(224\) | 1.96093 | − | 1.77617i | 0.131020 | − | 0.118675i | ||||
\(225\) | 28.1854 | + | 17.8103i | 1.87903 | + | 1.18735i | ||||
\(226\) | 4.57030 | 0.304012 | ||||||||
\(227\) | 12.2462 | − | 21.2111i | 0.812812 | − | 1.40783i | −0.0980766 | − | 0.995179i | \(-0.531269\pi\) |
0.910888 | − | 0.412653i | \(-0.135398\pi\) | |||||||
\(228\) | 9.34236 | − | 2.30433i | 0.618713 | − | 0.152608i | ||||
\(229\) | 14.5320i | 0.960300i | 0.877186 | + | 0.480150i | \(0.159418\pi\) | ||||
−0.877186 | + | 0.480150i | \(0.840582\pi\) | |||||||
\(230\) | 1.98211 | − | 3.43311i | 0.130696 | − | 0.226372i | ||||
\(231\) | 0.720579 | − | 10.3704i | 0.0474106 | − | 0.682322i | ||||
\(232\) | 3.98470 | + | 6.90171i | 0.261609 | + | 0.453119i | ||||
\(233\) | 15.4391i | 1.01145i | 0.862694 | + | 0.505726i | \(0.168775\pi\) | ||||
−0.862694 | + | 0.505726i | \(0.831225\pi\) | |||||||
\(234\) | 2.69316 | − | 10.4760i | 0.176057 | − | 0.684839i | ||||
\(235\) | 9.37394 | 0.611489 | ||||||||
\(236\) | 4.38840 | + | 7.60093i | 0.285661 | + | 0.494779i | ||||
\(237\) | 10.3794 | + | 3.00457i | 0.674215 | + | 0.195168i | ||||
\(238\) | 20.4504 | + | 6.57788i | 1.32560 | + | 0.426380i | ||||
\(239\) | 10.5191i | 0.680426i | 0.940348 | + | 0.340213i | \(0.110499\pi\) | ||||
−0.940348 | + | 0.340213i | \(0.889501\pi\) | |||||||
\(240\) | 1.66503 | + | 6.75046i | 0.107477 | + | 0.435740i | ||||
\(241\) | 20.1410 | + | 11.6284i | 1.29740 | + | 0.749052i | 0.979954 | − | 0.199225i | \(-0.0638424\pi\) |
0.317443 | + | 0.948277i | \(0.397176\pi\) | |||||||
\(242\) | − | 5.85408i | − | 0.376315i | ||||||
\(243\) | 2.51330 | + | 15.3845i | 0.161229 | + | 0.986917i | ||||
\(244\) | −1.95343 | + | 1.12781i | −0.125055 | + | 0.0722008i | ||||
\(245\) | 22.8302 | + | 16.3815i | 1.45857 | + | 1.04657i | ||||
\(246\) | 0.844346 | + | 0.878766i | 0.0538335 | + | 0.0560281i | ||||
\(247\) | −13.4364 | + | 14.8555i | −0.854938 | + | 0.945230i | ||||
\(248\) | 3.94262 | 0.250357 | ||||||||
\(249\) | 6.15430 | + | 1.78151i | 0.390013 | + | 0.112899i | ||||
\(250\) | 21.2535 | − | 12.2707i | 1.34419 | − | 0.776069i | ||||
\(251\) | 5.05812 | − | 8.76091i | 0.319265 | − | 0.552984i | −0.661070 | − | 0.750325i | \(-0.729897\pi\) |
0.980335 | + | 0.197341i | \(0.0632305\pi\) | |||||||
\(252\) | −1.36203 | − | 7.81952i | −0.0858001 | − | 0.492583i | ||||
\(253\) | 1.12011 | − | 1.94009i | 0.0704208 | − | 0.121972i | ||||
\(254\) | 1.26987 | + | 0.733160i | 0.0796788 | + | 0.0460026i | ||||
\(255\) | −40.7077 | + | 39.1132i | −2.54922 | + | 2.44937i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.289546 | − | 0.501508i | −0.0180614 | − | 0.0312832i | 0.856853 | − | 0.515560i | \(-0.172416\pi\) |
−0.874915 | + | 0.484277i | \(0.839083\pi\) | |||||||
\(258\) | 1.25720 | − | 4.34303i | 0.0782696 | − | 0.270385i | ||||
\(259\) | −13.0886 | + | 2.82259i | −0.813287 | + | 0.175387i | ||||
\(260\) | −10.7340 | − | 9.70868i | −0.665696 | − | 0.602107i | ||||
\(261\) | 23.8891 | + | 0.954774i | 1.47870 | + | 0.0590990i | ||||
\(262\) | −10.0031 | + | 5.77532i | −0.617997 | + | 0.356801i | ||||
\(263\) | −22.2158 | + | 12.8263i | −1.36989 | + | 0.790904i | −0.990913 | − | 0.134503i | \(-0.957056\pi\) |
−0.378974 | + | 0.925408i | \(0.623723\pi\) | |||||||
\(264\) | 0.940925 | + | 3.81476i | 0.0579099 | + | 0.234782i | ||||
\(265\) | − | 33.6870i | − | 2.06938i | ||||||
\(266\) | −4.50065 | + | 13.9924i | −0.275953 | + | 0.857927i | ||||
\(267\) | 1.96348 | + | 7.96048i | 0.120163 | + | 0.487173i | ||||
\(268\) | −3.40130 | −0.207767 | ||||||||
\(269\) | 0.0405741 | − | 0.0702764i | 0.00247385 | − | 0.00428483i | −0.864786 | − | 0.502141i | \(-0.832546\pi\) |
0.867260 | + | 0.497856i | \(0.165879\pi\) | |||||||
\(270\) | 19.7882 | + | 6.59533i | 1.20427 | + | 0.401379i | ||||
\(271\) | 17.2401 | − | 9.95358i | 1.04726 | − | 0.604637i | 0.125381 | − | 0.992109i | \(-0.459985\pi\) |
0.921882 | + | 0.387472i | \(0.126651\pi\) | |||||||
\(272\) | −8.11952 | −0.492318 | ||||||||
\(273\) | 11.4562 | + | 11.9061i | 0.693359 | + | 0.720592i | ||||
\(274\) | 14.1249 | 0.853314 | ||||||||
\(275\) | 21.8333 | − | 12.6055i | 1.31660 | − | 0.760139i | ||||
\(276\) | 0.475616 | − | 1.64303i | 0.0286287 | − | 0.0988990i | ||||
\(277\) | −4.37855 | + | 7.58387i | −0.263082 | + | 0.455671i | −0.967059 | − | 0.254551i | \(-0.918072\pi\) |
0.703978 | + | 0.710222i | \(0.251406\pi\) | |||||||
\(278\) | 13.9773 | 0.838303 | ||||||||
\(279\) | 6.31828 | − | 9.99889i | 0.378265 | − | 0.598618i | ||||
\(280\) | −10.1104 | − | 3.25201i | −0.604212 | − | 0.194345i | ||||
\(281\) | − | 17.7331i | − | 1.05787i | −0.848664 | − | 0.528933i | \(-0.822592\pi\) | ||
0.848664 | − | 0.528933i | \(-0.177408\pi\) | |||||||
\(282\) | 3.92700 | − | 0.968609i | 0.233850 | − | 0.0576798i | ||||
\(283\) | 14.9119 | − | 8.60942i | 0.886423 | − | 0.511777i | 0.0136524 | − | 0.999907i | \(-0.495654\pi\) |
0.872771 | + | 0.488130i | \(0.162321\pi\) | |||||||
\(284\) | −0.00678280 | + | 0.00391605i | −0.000402485 | + | 0.000232375i | ||||
\(285\) | −26.7617 | − | 27.8527i | −1.58523 | − | 1.64985i | ||||
\(286\) | −6.06592 | − | 5.48648i | −0.358686 | − | 0.324423i | ||||
\(287\) | −1.81971 | + | 0.392425i | −0.107414 | + | 0.0231641i | ||||
\(288\) | 1.39505 | + | 2.65591i | 0.0822041 | + | 0.156501i | ||||
\(289\) | −24.4633 | − | 42.3717i | −1.43902 | − | 2.49245i | ||||
\(290\) | 15.9953 | − | 27.7047i | 0.939278 | − | 1.62688i | ||||
\(291\) | 6.76870 | + | 7.04463i | 0.396788 | + | 0.412963i | ||||
\(292\) | −5.42402 | − | 3.13156i | −0.317417 | − | 0.183261i | ||||
\(293\) | −12.8490 | + | 22.2552i | −0.750648 | + | 1.30016i | 0.196861 | + | 0.980431i | \(0.436925\pi\) |
−0.947509 | + | 0.319729i | \(0.896408\pi\) | |||||||
\(294\) | 11.2569 | + | 4.50361i | 0.656515 | + | 0.262656i | ||||
\(295\) | 17.6159 | − | 30.5116i | 1.02563 | − | 1.77645i | ||||
\(296\) | 4.38274 | − | 2.53038i | 0.254742 | − | 0.147075i | ||||
\(297\) | 11.1825 | + | 3.72710i | 0.648875 | + | 0.216268i | ||||
\(298\) | −21.2557 | −1.23131 | ||||||||
\(299\) | 1.09270 | + | 3.38886i | 0.0631926 | + | 0.195983i | ||||
\(300\) | 13.8805 | − | 13.3369i | 0.801394 | − | 0.770004i | ||||
\(301\) | 4.63649 | + | 5.11880i | 0.267243 | + | 0.295042i | ||||
\(302\) | 7.17921 | − | 4.14492i | 0.413117 | − | 0.238513i | ||||
\(303\) | −3.82307 | − | 15.4997i | −0.219629 | − | 0.890437i | ||||
\(304\) | − | 5.55547i | − | 0.318628i | ||||||
\(305\) | 7.84142 | + | 4.52725i | 0.448998 | + | 0.259229i | ||||
\(306\) | −13.0120 | + | 20.5919i | −0.743847 | + | 1.17716i | ||||
\(307\) | − | 5.18537i | − | 0.295945i | −0.988991 | − | 0.147972i | \(-0.952725\pi\) | ||
0.988991 | − | 0.147972i | \(-0.0472747\pi\) | |||||||
\(308\) | −5.71350 | − | 1.83775i | −0.325557 | − | 0.104716i | ||||
\(309\) | −1.95443 | + | 6.75167i | −0.111184 | + | 0.384089i | ||||
\(310\) | −7.91321 | − | 13.7061i | −0.449440 | − | 0.778453i | ||||
\(311\) | 0.309481 | 0.0175490 | 0.00877452 | − | 0.999962i | \(-0.497207\pi\) | ||||
0.00877452 | + | 0.999962i | \(0.497207\pi\) | |||||||
\(312\) | −5.49998 | − | 2.95808i | −0.311375 | − | 0.167469i | ||||
\(313\) | 7.71774i | 0.436233i | 0.975923 | + | 0.218116i | \(0.0699912\pi\) | ||||
−0.975923 | + | 0.218116i | \(0.930009\pi\) | |||||||
\(314\) | 1.58385 | + | 2.74330i | 0.0893815 | + | 0.154813i | ||||
\(315\) | −24.4499 | + | 20.4295i | −1.37760 | + | 1.15107i | ||||
\(316\) | 3.11929 | − | 5.40277i | 0.175474 | − | 0.303929i | ||||
\(317\) | 0.193335i | 0.0108588i | 0.999985 | + | 0.00542939i | \(0.00172824\pi\) | ||||
−0.999985 | + | 0.00542939i | \(0.998272\pi\) | |||||||
\(318\) | −3.48088 | − | 14.1124i | −0.195198 | − | 0.791384i | ||||
\(319\) | 9.03915 | − | 15.6563i | 0.506095 | − | 0.876582i | ||||
\(320\) | 4.01418 | 0.224400 | ||||||||
\(321\) | −19.3599 | + | 4.77519i | −1.08056 | + | 0.266525i | ||||
\(322\) | 1.75405 | + | 1.93652i | 0.0977496 | + | 0.107918i | ||||
\(323\) | 39.0644 | − | 22.5539i | 2.17360 | − | 1.25493i | ||||
\(324\) | 8.97129 | + | 0.718256i | 0.498405 | + | 0.0399031i | ||||
\(325\) | −8.41917 | + | 39.1765i | −0.467012 | + | 2.17312i | ||||
\(326\) | 16.0466i | 0.888737i | ||||||||
\(327\) | 3.89595 | + | 1.12778i | 0.215447 | + | 0.0623662i | ||||
\(328\) | 0.609334 | − | 0.351799i | 0.0336448 | − | 0.0194248i | ||||
\(329\) | −1.89182 | + | 5.88161i | −0.104299 | + | 0.324263i | ||||
\(330\) | 11.3731 | − | 10.9276i | 0.626067 | − | 0.601545i | ||||
\(331\) | −11.9411 | + | 20.6826i | −0.656342 | + | 1.13682i | 0.325214 | + | 0.945640i | \(0.394564\pi\) |
−0.981556 | + | 0.191177i | \(0.938770\pi\) | |||||||
\(332\) | 1.84953 | − | 3.20348i | 0.101506 | − | 0.175814i | ||||
\(333\) | 0.606303 | − | 15.1702i | 0.0332252 | − | 0.831319i | ||||
\(334\) | 6.55709 | + | 3.78574i | 0.358788 | + | 0.207146i | ||||
\(335\) | 6.82672 | + | 11.8242i | 0.372983 | + | 0.646026i | ||||
\(336\) | −4.57155 | − | 0.317651i | −0.249399 | − | 0.0173293i | ||||
\(337\) | −28.4627 | −1.55046 | −0.775232 | − | 0.631677i | \(-0.782367\pi\) | ||||
−0.775232 | + | 0.631677i | \(0.782367\pi\) | |||||||
\(338\) | 12.9348 | − | 1.30082i | 0.703558 | − | 0.0707552i | ||||
\(339\) | −5.48455 | − | 5.70813i | −0.297880 | − | 0.310023i | ||||
\(340\) | 16.2966 | + | 28.2266i | 0.883809 | + | 1.53080i | ||||
\(341\) | −4.47184 | − | 7.74546i | −0.242164 | − | 0.419440i | ||||
\(342\) | −14.0892 | − | 8.90295i | −0.761858 | − | 0.481417i | ||||
\(343\) | −14.8860 | + | 11.0186i | −0.803766 | + | 0.594946i | ||||
\(344\) | −2.26067 | − | 1.30520i | −0.121887 | − | 0.0703715i | ||||
\(345\) | −6.66642 | + | 1.64430i | −0.358908 | + | 0.0885260i | ||||
\(346\) | 4.78325i | 0.257149i | ||||||||
\(347\) | −23.4106 | − | 13.5161i | −1.25675 | − | 0.725582i | −0.284305 | − | 0.958734i | \(-0.591763\pi\) |
−0.972440 | + | 0.233152i | \(0.925096\pi\) | |||||||
\(348\) | 3.83816 | − | 13.2591i | 0.205747 | − | 0.710761i | ||||
\(349\) | −19.4151 | + | 11.2093i | −1.03927 | + | 0.600022i | −0.919626 | − | 0.392795i | \(-0.871508\pi\) |
−0.119643 | + | 0.992817i | \(0.538175\pi\) | |||||||
\(350\) | 6.19855 | + | 28.7433i | 0.331326 | + | 1.53639i | ||||
\(351\) | −16.3160 | + | 9.20800i | −0.870885 | + | 0.491486i | ||||
\(352\) | 2.26846 | 0.120909 | ||||||||
\(353\) | −1.64240 | − | 2.84473i | −0.0874164 | − | 0.151410i | 0.819002 | − | 0.573791i | \(-0.194528\pi\) |
−0.906418 | + | 0.422381i | \(0.861194\pi\) | |||||||
\(354\) | 4.22701 | − | 14.6024i | 0.224663 | − | 0.776107i | ||||
\(355\) | 0.0272274 | + | 0.0157198i | 0.00144508 | + | 0.000834318i | ||||
\(356\) | 4.73373 | 0.250887 | ||||||||
\(357\) | −16.3258 | − | 33.4354i | −0.864052 | − | 1.76959i | ||||
\(358\) | 7.21674 | − | 12.4998i | 0.381417 | − | 0.660633i | ||||
\(359\) | 37.0702i | 1.95649i | 0.207453 | + | 0.978245i | \(0.433483\pi\) | ||||
−0.207453 | + | 0.978245i | \(0.566517\pi\) | |||||||
\(360\) | 6.43296 | − | 10.1804i | 0.339047 | − | 0.536553i | ||||
\(361\) | 5.93160 | + | 10.2738i | 0.312189 | + | 0.540728i | ||||
\(362\) | −6.73376 | − | 11.6632i | −0.353918 | − | 0.613005i | ||||
\(363\) | −7.31152 | + | 7.02514i | −0.383755 | + | 0.368724i | ||||
\(364\) | 8.25794 | − | 4.77560i | 0.432834 | − | 0.250310i | ||||
\(365\) | 25.1413i | 1.31596i | ||||||||
\(366\) | 3.75278 | + | 1.08633i | 0.196161 | + | 0.0567836i | ||||
\(367\) | 20.1100 | − | 11.6105i | 1.04973 | − | 0.606065i | 0.127160 | − | 0.991882i | \(-0.459414\pi\) |
0.922575 | + | 0.385817i | \(0.126081\pi\) | |||||||
\(368\) | −0.855244 | − | 0.493775i | −0.0445827 | − | 0.0257398i | ||||
\(369\) | 0.0842945 | − | 2.10911i | 0.00438820 | − | 0.109796i | ||||
\(370\) | −17.5931 | − | 10.1574i | −0.914624 | − | 0.528058i | ||||
\(371\) | 21.1366 | + | 6.79861i | 1.09736 | + | 0.352966i | ||||
\(372\) | −4.73131 | − | 4.92418i | −0.245307 | − | 0.255307i | ||||
\(373\) | 2.86944 | − | 4.97001i | 0.148574 | − | 0.257337i | −0.782127 | − | 0.623119i | \(-0.785865\pi\) |
0.930701 | + | 0.365782i | \(0.119198\pi\) | |||||||
\(374\) | 9.20941 | + | 15.9512i | 0.476207 | + | 0.824816i | ||||
\(375\) | −40.8307 | − | 11.8194i | −2.10849 | − | 0.610353i | ||||
\(376\) | − | 2.33521i | − | 0.120429i | ||||||
\(377\) | 8.81797 | + | 27.3476i | 0.454148 | + | 1.40847i | ||||
\(378\) | −8.13177 | + | 11.0849i | −0.418253 | + | 0.570144i | ||||
\(379\) | 8.32374 | + | 14.4171i | 0.427562 | + | 0.740559i | 0.996656 | − | 0.0817134i | \(-0.0260392\pi\) |
−0.569094 | + | 0.822273i | \(0.692706\pi\) | |||||||
\(380\) | −19.3129 | + | 11.1503i | −0.990733 | + | 0.572000i | ||||
\(381\) | −0.608209 | − | 2.46584i | −0.0311595 | − | 0.126329i | ||||
\(382\) | −13.6580 | −0.698804 | ||||||||
\(383\) | 5.67426 | − | 9.82810i | 0.289941 | − | 0.502192i | −0.683854 | − | 0.729619i | \(-0.739698\pi\) |
0.973795 | + | 0.227426i | \(0.0730310\pi\) | |||||||
\(384\) | 1.68165 | − | 0.414785i | 0.0858164 | − | 0.0211669i | ||||
\(385\) | 5.07880 | + | 23.5509i | 0.258839 | + | 1.20026i | ||||
\(386\) | −13.2481 | − | 7.64881i | −0.674312 | − | 0.389314i | ||||
\(387\) | −6.93296 | + | 3.64163i | −0.352422 | + | 0.185114i | ||||
\(388\) | 4.88472 | − | 2.82020i | 0.247984 | − | 0.143174i | ||||
\(389\) | 1.51415i | 0.0767706i | 0.999263 | + | 0.0383853i | \(0.0122214\pi\) | ||||
−0.999263 | + | 0.0383853i | \(0.987779\pi\) | |||||||
\(390\) | 0.755517 | + | 25.0572i | 0.0382571 | + | 1.26882i | ||||
\(391\) | − | 8.01844i | − | 0.405510i | ||||||
\(392\) | 4.08090 | − | 5.68738i | 0.206117 | − | 0.287256i | ||||
\(393\) | 19.2173 | + | 5.56292i | 0.969386 | + | 0.280612i | ||||
\(394\) | 4.40039 | − | 7.62170i | 0.221688 | − | 0.383975i | ||||
\(395\) | −25.0428 | −1.26004 | ||||||||
\(396\) | 3.63534 | − | 5.75305i | 0.182683 | − | 0.289102i | ||||
\(397\) | −6.67704 | − | 3.85499i | −0.335111 | − | 0.193476i | 0.322997 | − | 0.946400i | \(-0.395310\pi\) |
−0.658108 | + | 0.752924i | \(0.728643\pi\) | |||||||
\(398\) | 22.7847 | 1.14209 | ||||||||
\(399\) | 22.8769 | − | 11.1703i | 1.14528 | − | 0.559213i | ||||
\(400\) | −5.55684 | − | 9.62473i | −0.277842 | − | 0.481236i | ||||
\(401\) | −22.3081 | + | 12.8796i | −1.11401 | + | 0.643177i | −0.939866 | − | 0.341543i | \(-0.889051\pi\) |
−0.174148 | + | 0.984719i | \(0.555717\pi\) | |||||||
\(402\) | 4.08170 | + | 4.24809i | 0.203576 | + | 0.211875i | ||||
\(403\) | 13.8980 | + | 2.98673i | 0.692310 | + | 0.148780i | ||||
\(404\) | −9.21697 | −0.458562 | ||||||||
\(405\) | −15.5093 | − | 32.6293i | −0.770662 | − | 1.62136i | ||||
\(406\) | 14.1550 | + | 15.6274i | 0.702500 | + | 0.775576i | ||||
\(407\) | −9.94208 | − | 5.74006i | −0.492811 | − | 0.284524i | ||||
\(408\) | 9.74376 | + | 10.1410i | 0.482388 | + | 0.502053i | ||||
\(409\) | 6.78248 | + | 3.91587i | 0.335372 | + | 0.193627i | 0.658224 | − | 0.752822i | \(-0.271308\pi\) |
−0.322852 | + | 0.946450i | \(0.604641\pi\) | |||||||
\(410\) | −2.44598 | − | 1.41219i | −0.120798 | − | 0.0697429i | ||||
\(411\) | −16.9504 | − | 17.6414i | −0.836102 | − | 0.870186i | ||||
\(412\) | 3.51443 | + | 2.02906i | 0.173144 | + | 0.0999645i | ||||
\(413\) | 15.5891 | + | 17.2107i | 0.767087 | + | 0.846882i | ||||
\(414\) | −2.62284 | + | 1.37768i | −0.128906 | + | 0.0677094i | ||||
\(415\) | −14.8487 | −0.728895 | ||||||||
\(416\) | −2.41859 | + | 2.67402i | −0.118581 | + | 0.131105i | ||||
\(417\) | −16.7733 | − | 17.4571i | −0.821393 | − | 0.854878i | ||||
\(418\) | −10.9140 | + | 6.30118i | −0.533819 | + | 0.308201i | ||||
\(419\) | 15.1579 | + | 26.2543i | 0.740514 | + | 1.28261i | 0.952262 | + | 0.305284i | \(0.0987512\pi\) |
−0.211747 | + | 0.977324i | \(0.567915\pi\) | |||||||
\(420\) | 8.07125 | + | 16.5300i | 0.393837 | + | 0.806583i | ||||
\(421\) | 36.0634 | 1.75762 | 0.878810 | − | 0.477171i | \(-0.158338\pi\) | ||||
0.878810 | + | 0.477171i | \(0.158338\pi\) | |||||||
\(422\) | −11.4831 | − | 6.62975i | −0.558987 | − | 0.322731i | ||||
\(423\) | −5.92232 | − | 3.74230i | −0.287953 | − | 0.181957i | ||||
\(424\) | −8.39199 | −0.407551 | ||||||||
\(425\) | 45.1189 | − | 78.1482i | 2.18859 | − | 3.79075i | ||||
\(426\) | 0.0130306 | + | 0.00377203i | 0.000631336 | + | 0.000182755i | ||||
\(427\) | −4.42311 | + | 4.00636i | −0.214050 | + | 0.193881i | ||||
\(428\) | 11.5124i | 0.556474i | ||||||||
\(429\) | 0.426951 | + | 14.1601i | 0.0206134 | + | 0.683656i | ||||
\(430\) | 10.4786i | 0.505323i | ||||||||
\(431\) | 21.4300 | − | 12.3726i | 1.03225 | − | 0.595969i | 0.114620 | − | 0.993409i | \(-0.463435\pi\) |
0.917628 | + | 0.397441i | \(0.130102\pi\) | |||||||
\(432\) | 1.64301 | − | 4.92956i | 0.0790492 | − | 0.237173i | ||||
\(433\) | −9.26567 | − | 5.34954i | −0.445280 | − | 0.257082i | 0.260555 | − | 0.965459i | \(-0.416095\pi\) |
−0.705835 | + | 0.708377i | \(0.749428\pi\) | |||||||
\(434\) | 10.1968 | − | 2.19896i | 0.489461 | − | 0.105553i | ||||
\(435\) | −53.7972 | + | 13.2693i | −2.57938 | + | 0.636212i | ||||
\(436\) | 1.17084 | − | 2.02795i | 0.0560729 | − | 0.0971211i | ||||
\(437\) | 5.48630 | 0.262446 | ||||||||
\(438\) | 2.59785 | + | 10.5324i | 0.124130 | + | 0.503257i | ||||
\(439\) | 16.3694 | − | 9.45090i | 0.781271 | − | 0.451067i | −0.0556095 | − | 0.998453i | \(-0.517710\pi\) |
0.836881 | + | 0.547386i | \(0.184377\pi\) | |||||||
\(440\) | −4.55301 | − | 7.88605i | −0.217056 | − | 0.375953i | ||||
\(441\) | −7.88388 | − | 19.4639i | −0.375423 | − | 0.926854i | ||||
\(442\) | −28.6219 | − | 6.15095i | −1.36140 | − | 0.292571i | ||||
\(443\) | − | 19.1461i | − | 0.909658i | −0.890579 | − | 0.454829i | \(-0.849700\pi\) | ||
0.890579 | − | 0.454829i | \(-0.150300\pi\) | |||||||
\(444\) | −8.41981 | − | 2.43732i | −0.399587 | − | 0.115670i | ||||
\(445\) | −9.50102 | − | 16.4563i | −0.450392 | − | 0.780101i | ||||
\(446\) | 4.29194 | − | 7.43387i | 0.203229 | − | 0.352004i | ||||
\(447\) | 25.5077 | + | 26.5475i | 1.20647 | + | 1.25565i | ||||
\(448\) | −0.810131 | + | 2.51867i | −0.0382751 | + | 0.118996i | ||||
\(449\) | −5.69004 | − | 3.28514i | −0.268529 | − | 0.155036i | 0.359690 | − | 0.933072i | \(-0.382883\pi\) |
−0.628219 | + | 0.778036i | \(0.716216\pi\) | |||||||
\(450\) | −33.3144 | − | 1.33147i | −1.57046 | − | 0.0627663i | ||||
\(451\) | −1.38225 | − | 0.798042i | −0.0650876 | − | 0.0375783i | ||||
\(452\) | −3.95800 | + | 2.28515i | −0.186169 | + | 0.107484i | ||||
\(453\) | −13.7922 | − | 3.99248i | −0.648013 | − | 0.187583i | ||||
\(454\) | 24.4925i | 1.14949i | ||||||||
\(455\) | −33.1763 | − | 19.1227i | −1.55533 | − | 0.896487i | ||||
\(456\) | −6.93856 | + | 6.66678i | −0.324928 | + | 0.312201i | ||||
\(457\) | 14.7244 | + | 25.5034i | 0.688779 | + | 1.19300i | 0.972233 | + | 0.234014i | \(0.0751861\pi\) |
−0.283455 | + | 0.958986i | \(0.591481\pi\) | |||||||
\(458\) | −7.26599 | − | 12.5851i | −0.339517 | − | 0.588061i | ||||
\(459\) | 41.3334 | − | 8.45968i | 1.92928 | − | 0.394864i | ||||
\(460\) | 3.96421i | 0.184832i | ||||||||
\(461\) | 6.55063 | − | 11.3460i | 0.305093 | − | 0.528437i | −0.672189 | − | 0.740380i | \(-0.734646\pi\) |
0.977282 | + | 0.211943i | \(0.0679791\pi\) | |||||||
\(462\) | 4.56116 | + | 9.34131i | 0.212204 | + | 0.434597i | ||||
\(463\) | 12.9808 | 0.603270 | 0.301635 | − | 0.953424i | \(-0.402468\pi\) | ||||
0.301635 | + | 0.953424i | \(0.402468\pi\) | |||||||
\(464\) | −6.90171 | − | 3.98470i | −0.320404 | − | 0.184985i | ||||
\(465\) | −7.62218 | + | 26.3311i | −0.353470 | + | 1.22108i | ||||
\(466\) | −7.71957 | − | 13.3707i | −0.357602 | − | 0.619385i | ||||
\(467\) | 0.410726 | 0.0190061 | 0.00950306 | − | 0.999955i | \(-0.496975\pi\) | ||||
0.00950306 | + | 0.999955i | \(0.496975\pi\) | |||||||
\(468\) | 2.90566 | + | 10.4191i | 0.134314 | + | 0.481622i | ||||
\(469\) | −8.79676 | + | 1.89704i | −0.406197 | + | 0.0875972i | ||||
\(470\) | −8.11807 | + | 4.68697i | −0.374459 | + | 0.216194i | ||||
\(471\) | 1.52560 | − | 5.27023i | 0.0702957 | − | 0.242839i | ||||
\(472\) | −7.60093 | − | 4.38840i | −0.349861 | − | 0.201993i | ||||
\(473\) | 5.92158i | 0.272275i | ||||||||
\(474\) | −10.4911 | + | 2.58767i | −0.481873 | + | 0.118856i | ||||
\(475\) | 53.4698 | + | 30.8708i | 2.45336 | + | 1.41645i | ||||
\(476\) | −20.9995 | + | 4.52858i | −0.962510 | + | 0.207567i | ||||
\(477\) | −13.4486 | + | 21.2829i | −0.615771 | + | 0.974479i | ||||
\(478\) | −5.25957 | − | 9.10984i | −0.240567 | − | 0.416674i | ||||
\(479\) | 4.72048 | + | 8.17611i | 0.215684 | + | 0.373576i | 0.953484 | − | 0.301443i | \(-0.0974685\pi\) |
−0.737800 | + | 0.675020i | \(0.764135\pi\) | |||||||
\(480\) | −4.81718 | − | 5.01356i | −0.219873 | − | 0.228837i | ||||
\(481\) | 17.3664 | − | 5.59961i | 0.791838 | − | 0.255320i | ||||
\(482\) | −23.2568 | −1.05932 | ||||||||
\(483\) | 0.313697 | − | 4.51464i | 0.0142737 | − | 0.205423i | ||||
\(484\) | 2.92704 | + | 5.06978i | 0.133047 | + | 0.230445i | ||||
\(485\) | −19.6082 | − | 11.3208i | −0.890362 | − | 0.514051i | ||||
\(486\) | −9.86884 | − | 12.0667i | −0.447660 | − | 0.547358i | ||||
\(487\) | −1.50355 | + | 2.60422i | −0.0681321 | + | 0.118008i | −0.898079 | − | 0.439834i | \(-0.855037\pi\) |
0.829947 | + | 0.557842i | \(0.188371\pi\) | |||||||
\(488\) | 1.12781 | − | 1.95343i | 0.0510536 | − | 0.0884275i | ||||
\(489\) | 20.0415 | − | 19.2565i | 0.906309 | − | 0.870810i | ||||
\(490\) | −27.9623 | − | 2.77170i | −1.26321 | − | 0.125212i | ||||
\(491\) | −5.01812 | + | 2.89721i | −0.226465 | + | 0.130749i | −0.608940 | − | 0.793216i | \(-0.708405\pi\) |
0.382475 | + | 0.923966i | \(0.375072\pi\) | |||||||
\(492\) | −1.17061 | − | 0.338861i | −0.0527751 | − | 0.0152770i | ||||
\(493\) | − | 64.7078i | − | 2.91429i | ||||||
\(494\) | 4.20854 | − | 19.5834i | 0.189351 | − | 0.881099i | ||||
\(495\) | −27.2963 | − | 1.09095i | −1.22688 | − | 0.0490344i | ||||
\(496\) | −3.41441 | + | 1.97131i | −0.153312 | + | 0.0885145i | ||||
\(497\) | −0.0153582 | + | 0.0139111i | −0.000688909 | + | 0.000623999i | ||||
\(498\) | −6.22054 | + | 1.53432i | −0.278749 | + | 0.0687544i | ||||
\(499\) | 21.1043 | 0.944760 | 0.472380 | − | 0.881395i | \(-0.343395\pi\) | ||||
0.472380 | + | 0.881395i | \(0.343395\pi\) | |||||||
\(500\) | −12.2707 | + | 21.2535i | −0.548763 | + | 0.950486i | ||||
\(501\) | −3.14054 | − | 12.7326i | −0.140309 | − | 0.568850i | ||||
\(502\) | 10.1162i | 0.451510i | ||||||||
\(503\) | −15.6330 | + | 27.0772i | −0.697042 | + | 1.20731i | 0.272445 | + | 0.962171i | \(0.412168\pi\) |
−0.969487 | + | 0.245142i | \(0.921166\pi\) | |||||||
\(504\) | 5.08932 | + | 6.09088i | 0.226696 | + | 0.271310i | ||||
\(505\) | 18.4993 | + | 32.0418i | 0.823209 | + | 1.42584i | ||||
\(506\) | 2.24022i | 0.0995900i | ||||||||
\(507\) | −17.1469 | − | 14.5940i | −0.761521 | − | 0.648141i | ||||
\(508\) | −1.46632 | −0.0650575 | ||||||||
\(509\) | −3.80587 | − | 6.59196i | −0.168692 | − | 0.292183i | 0.769268 | − | 0.638926i | \(-0.220621\pi\) |
−0.937960 | + | 0.346743i | \(0.887288\pi\) | |||||||
\(510\) | 15.6973 | − | 54.2269i | 0.695087 | − | 2.40121i | ||||
\(511\) | −15.7747 | − | 5.07395i | −0.697833 | − | 0.224458i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 5.78820 | + | 28.2808i | 0.255555 | + | 1.24863i | ||||
\(514\) | 0.501508 | + | 0.289546i | 0.0221206 | + | 0.0127713i | ||||
\(515\) | − | 16.2900i | − | 0.717824i | ||||||
\(516\) | 1.08275 | + | 4.38978i | 0.0476656 | + | 0.193249i | ||||
\(517\) | −4.58762 | + | 2.64866i | −0.201763 | + | 0.116488i | ||||
\(518\) | 9.92378 | − | 8.98874i | 0.436026 | − | 0.394942i | ||||
\(519\) | 5.97409 | − | 5.74009i | 0.262233 | − | 0.251962i | ||||
\(520\) | 14.1503 | + | 3.04095i | 0.620531 | + | 0.133354i | ||||
\(521\) | 23.2965 | 1.02064 | 0.510320 | − | 0.859985i | \(-0.329527\pi\) | ||||
0.510320 | + | 0.859985i | \(0.329527\pi\) | |||||||
\(522\) | −21.1660 | + | 11.1177i | −0.926410 | + | 0.486609i | ||||
\(523\) | −31.9594 | + | 18.4517i | −1.39748 | + | 0.806838i | −0.994129 | − | 0.108205i | \(-0.965490\pi\) |
−0.403356 | + | 0.915043i | \(0.632156\pi\) | |||||||
\(524\) | 5.77532 | − | 10.0031i | 0.252296 | − | 0.436990i | ||||
\(525\) | 28.4607 | − | 42.2348i | 1.24213 | − | 1.84328i | ||||
\(526\) | 12.8263 | − | 22.2158i | 0.559254 | − | 0.968656i | ||||
\(527\) | −27.7234 | − | 16.0061i | −1.20765 | − | 0.697237i | ||||
\(528\) | −2.72225 | − | 2.83322i | −0.118471 | − | 0.123300i | ||||
\(529\) | −11.0124 | + | 19.0740i | −0.478799 | + | 0.829304i | ||||
\(530\) | 16.8435 | + | 29.1738i | 0.731635 | + | 1.26723i | ||||
\(531\) | −23.3104 | + | 12.2441i | −1.01158 | + | 0.531348i | ||||
\(532\) | −3.09851 | − | 14.3681i | −0.134337 | − | 0.622935i | ||||
\(533\) | 2.41445 | − | 0.778515i | 0.104581 | − | 0.0337212i | ||||
\(534\) | −5.68066 | − | 5.91224i | −0.245826 | − | 0.255847i | ||||
\(535\) | 40.0216 | − | 23.1065i | 1.73029 | − | 0.998981i | ||||
\(536\) | 2.94561 | − | 1.70065i | 0.127231 | − | 0.0734568i | ||||
\(537\) | −24.2721 | + | 5.98680i | −1.04742 | + | 0.258349i | ||||
\(538\) | 0.0811482i | 0.00349855i | ||||||||
\(539\) | −15.8018 | − | 1.56632i | −0.680631 | − | 0.0674660i | ||||
\(540\) | −20.4347 | + | 4.18235i | −0.879370 | + | 0.179980i | ||||
\(541\) | −31.5015 | −1.35436 | −0.677178 | − | 0.735820i | \(-0.736797\pi\) | ||||
−0.677178 | + | 0.735820i | \(0.736797\pi\) | |||||||
\(542\) | −9.95358 | + | 17.2401i | −0.427543 | + | 0.740526i | ||||
\(543\) | −6.48611 | + | 22.4065i | −0.278345 | + | 0.961556i | ||||
\(544\) | 7.03171 | − | 4.05976i | 0.301482 | − | 0.174061i | ||||
\(545\) | −9.39991 | −0.402648 | ||||||||
\(546\) | −15.8744 | − | 4.58292i | −0.679362 | − | 0.196131i | ||||
\(547\) | −41.0811 | −1.75650 | −0.878251 | − | 0.478200i | \(-0.841290\pi\) | ||||
−0.878251 | + | 0.478200i | \(0.841290\pi\) | |||||||
\(548\) | −12.2325 | + | 7.06243i | −0.522546 | + | 0.301692i | ||||
\(549\) | −3.14671 | − | 5.99072i | −0.134298 | − | 0.255678i | ||||
\(550\) | −12.6055 | + | 21.8333i | −0.537499 | + | 0.930976i | ||||
\(551\) | 44.2738 | 1.88613 | ||||||||
\(552\) | 0.409622 | + | 1.66072i | 0.0174347 | + | 0.0706848i | ||||
\(553\) | 5.05406 | − | 15.7129i | 0.214921 | − | 0.668181i | ||||
\(554\) | − | 8.75710i | − | 0.372054i | ||||||
\(555\) | 8.42629 | + | 34.1624i | 0.357676 | + | 1.45011i | ||||
\(556\) | −12.1047 | + | 6.98865i | −0.513354 | + | 0.296385i | ||||
\(557\) | −1.88989 | + | 1.09113i | −0.0800770 | + | 0.0462325i | −0.539504 | − | 0.841983i | \(-0.681388\pi\) |
0.459427 | + | 0.888216i | \(0.348055\pi\) | |||||||
\(558\) | −0.472346 | + | 11.8184i | −0.0199960 | + | 0.500314i | ||||
\(559\) | −6.98026 | − | 6.31348i | −0.295234 | − | 0.267032i | ||||
\(560\) | 10.3819 | − | 2.23887i | 0.438714 | − | 0.0946096i | ||||
\(561\) | 8.87071 | − | 30.6443i | 0.374522 | − | 1.29380i | ||||
\(562\) | 8.86653 | + | 15.3573i | 0.374012 | + | 0.647807i | ||||
\(563\) | 4.18060 | − | 7.24101i | 0.176191 | − | 0.305172i | −0.764382 | − | 0.644764i | \(-0.776956\pi\) |
0.940573 | + | 0.339592i | \(0.110289\pi\) | |||||||
\(564\) | −2.91658 | + | 2.80234i | −0.122810 | + | 0.118000i | ||||
\(565\) | 15.8881 | + | 9.17302i | 0.668419 | + | 0.385912i | ||||
\(566\) | −8.60942 | + | 14.9119i | −0.361881 | + | 0.626796i | ||||
\(567\) | 23.6030 | − | 3.14603i | 0.991234 | − | 0.132121i | ||||
\(568\) | 0.00391605 | − | 0.00678280i | 0.000164314 | − | 0.000284600i | ||||
\(569\) | 1.43201 | − | 0.826770i | 0.0600329 | − | 0.0346600i | −0.469683 | − | 0.882835i | \(-0.655632\pi\) |
0.529716 | + | 0.848175i | \(0.322298\pi\) | |||||||
\(570\) | 37.1026 | + | 10.7403i | 1.55406 | + | 0.449860i | ||||
\(571\) | 14.0859 | 0.589475 | 0.294738 | − | 0.955578i | \(-0.404768\pi\) | ||||
0.294738 | + | 0.955578i | \(0.404768\pi\) | |||||||
\(572\) | 7.99649 | + | 1.71847i | 0.334350 | + | 0.0718530i | ||||
\(573\) | 16.3901 | + | 17.0583i | 0.684708 | + | 0.712620i | ||||
\(574\) | 1.37970 | − | 1.24971i | 0.0575878 | − | 0.0521617i | ||||
\(575\) | 9.50491 | − | 5.48766i | 0.396382 | − | 0.228851i | ||||
\(576\) | −2.53610 | − | 1.60256i | −0.105671 | − | 0.0667732i | ||||
\(577\) | 30.4215i | 1.26647i | 0.773962 | + | 0.633233i | \(0.218272\pi\) | ||||
−0.773962 | + | 0.633233i | \(0.781728\pi\) | |||||||
\(578\) | 42.3717 | + | 24.4633i | 1.76243 | + | 1.01754i | ||||
\(579\) | 6.34523 | + | 25.7253i | 0.263699 | + | 1.06911i | ||||
\(580\) | 31.9907i | 1.32834i | ||||||||
\(581\) | 2.99673 | − | 9.31671i | 0.124325 | − | 0.386522i | ||||
\(582\) | −9.38418 | − | 2.71648i | −0.388987 | − | 0.112602i | ||||
\(583\) | 9.51845 | + | 16.4864i | 0.394214 | + | 0.682799i | ||||
\(584\) | 6.26312 | 0.259170 | ||||||||
\(585\) | 30.3888 | − | 31.0133i | 1.25642 | − | 1.28224i | ||||
\(586\) | − | 25.6980i | − | 1.06158i | ||||||
\(587\) | −12.4840 | − | 21.6229i | −0.515269 | − | 0.892472i | −0.999843 | − | 0.0177214i | \(-0.994359\pi\) |
0.484574 | − | 0.874750i | \(-0.338975\pi\) | |||||||
\(588\) | −12.0006 | + | 1.72820i | −0.494895 | + | 0.0712697i | ||||
\(589\) | 10.9516 | − | 18.9686i | 0.451251 | − | 0.781589i | ||||
\(590\) | 35.2317i | 1.45047i | ||||||||
\(591\) | −14.7998 | + | 3.65043i | −0.608784 | + | 0.150159i | ||||
\(592\) | −2.53038 | + | 4.38274i | −0.103998 | + | 0.180130i | ||||
\(593\) | −38.4298 | −1.57812 | −0.789061 | − | 0.614315i | \(-0.789432\pi\) | ||||
−0.789061 | + | 0.614315i | \(0.789432\pi\) | |||||||
\(594\) | −11.5479 | + | 2.36350i | −0.473816 | + | 0.0969754i | ||||
\(595\) | 57.8910 | + | 63.9130i | 2.37330 | + | 2.62018i | ||||
\(596\) | 18.4080 | − | 10.6278i | 0.754020 | − | 0.435333i | ||||
\(597\) | −27.3426 | − | 28.4572i | −1.11906 | − | 1.16468i | ||||
\(598\) | −2.64074 | − | 2.38848i | −0.107988 | − | 0.0976724i | ||||
\(599\) | − | 13.7876i | − | 0.563347i | −0.959510 | − | 0.281674i | \(-0.909110\pi\) | ||
0.959510 | − | 0.281674i | \(-0.0908896\pi\) | |||||||
\(600\) | −5.35247 | + | 18.4903i | −0.218514 | + | 0.754865i | ||||
\(601\) | −23.4431 | + | 13.5349i | −0.956264 | + | 0.552099i | −0.895021 | − | 0.446023i | \(-0.852840\pi\) |
−0.0612430 | + | 0.998123i | \(0.519506\pi\) | |||||||
\(602\) | −6.57472 | − | 2.11476i | −0.267965 | − | 0.0861912i | ||||
\(603\) | 0.407492 | − | 10.1958i | 0.0165944 | − | 0.415203i | ||||
\(604\) | −4.14492 | + | 7.17921i | −0.168654 | + | 0.292118i | ||||
\(605\) | 11.7497 | − | 20.3510i | 0.477693 | − | 0.827388i | ||||
\(606\) | 11.0607 | + | 11.5116i | 0.449312 | + | 0.467628i | ||||
\(607\) | 2.92294 | + | 1.68756i | 0.118638 | + | 0.0684959i | 0.558145 | − | 0.829744i | \(-0.311513\pi\) |
−0.439507 | + | 0.898239i | \(0.644847\pi\) | |||||||
\(608\) | 2.77773 | + | 4.81117i | 0.112652 | + | 0.195119i | ||||
\(609\) | 2.53149 | − | 36.4326i | 0.102581 | − | 1.47632i | ||||
\(610\) | −9.05449 | −0.366606 | ||||||||
\(611\) | 1.76904 | − | 8.23176i | 0.0715675 | − | 0.333021i | ||||
\(612\) | 0.972759 | − | 24.3391i | 0.0393214 | − | 0.983851i | ||||
\(613\) | −11.1134 | − | 19.2490i | −0.448866 | − | 0.777459i | 0.549446 | − | 0.835529i | \(-0.314839\pi\) |
−0.998313 | + | 0.0580698i | \(0.981505\pi\) | |||||||
\(614\) | 2.59268 | + | 4.49066i | 0.104632 | + | 0.181228i | ||||
\(615\) | 1.17151 | + | 4.74961i | 0.0472398 | + | 0.191523i | ||||
\(616\) | 5.86691 | − | 1.26521i | 0.236385 | − | 0.0509769i | ||||
\(617\) | 8.08240 | + | 4.66637i | 0.325385 | + | 0.187861i | 0.653790 | − | 0.756676i | \(-0.273178\pi\) |
−0.328405 | + | 0.944537i | \(0.606511\pi\) | |||||||
\(618\) | −1.68325 | − | 6.82434i | −0.0677101 | − | 0.274515i | ||||
\(619\) | 0.923782i | 0.0371299i | 0.999828 | + | 0.0185650i | \(0.00590975\pi\) | ||||
−0.999828 | + | 0.0185650i | \(0.994090\pi\) | |||||||
\(620\) | 13.7061 | + | 7.91321i | 0.550449 | + | 0.317802i | ||||
\(621\) | 4.86819 | + | 1.62255i | 0.195354 | + | 0.0651108i | ||||
\(622\) | −0.268018 | + | 0.154740i | −0.0107465 | + | 0.00620452i | ||||
\(623\) | 12.2428 | − | 2.64019i | 0.490498 | − | 0.105777i | ||||
\(624\) | 6.24216 | − | 0.188212i | 0.249886 | − | 0.00753450i | ||||
\(625\) | 42.9455 | 1.71782 | ||||||||
\(626\) | −3.85887 | − | 6.68376i | −0.154232 | − | 0.267137i | ||||
\(627\) | 20.9671 | + | 6.06944i | 0.837346 | + | 0.242390i | ||||
\(628\) | −2.74330 | − | 1.58385i | −0.109470 | − | 0.0632023i | ||||
\(629\) | −41.0909 | −1.63840 | ||||||||
\(630\) | 10.9595 | − | 29.9174i | 0.436638 | − | 1.19194i | ||||
\(631\) | 2.64857 | − | 4.58746i | 0.105438 | − | 0.182624i | −0.808479 | − | 0.588525i | \(-0.799709\pi\) |
0.913917 | + | 0.405901i | \(0.133042\pi\) | |||||||
\(632\) | 6.23858i | 0.248157i | ||||||||
\(633\) | 5.49985 | + | 22.2979i | 0.218599 | + | 0.886261i | ||||
\(634\) | −0.0966675 | − | 0.167433i | −0.00383916 | − | 0.00664962i | ||||
\(635\) | 2.94304 | + | 5.09750i | 0.116791 | + | 0.202288i | ||||
\(636\) | 10.0707 | + | 10.4813i | 0.399330 | + | 0.415609i | ||||
\(637\) | 18.6939 | − | 16.9569i | 0.740681 | − | 0.671857i | ||||
\(638\) | 18.0783i | 0.715726i | ||||||||
\(639\) | −0.0109262 | − | 0.0208013i | −0.000432233 | − | 0.000822888i | ||||
\(640\) | −3.47639 | + | 2.00709i | −0.137416 | + | 0.0793373i | ||||
\(641\) | 6.51519 | + | 3.76155i | 0.257335 | + | 0.148572i | 0.623118 | − | 0.782128i | \(-0.285866\pi\) |
−0.365784 | + | 0.930700i | \(0.619199\pi\) | |||||||
\(642\) | 14.3786 | − | 13.8154i | 0.567477 | − | 0.545249i | ||||
\(643\) | −36.7294 | − | 21.2057i | −1.44846 | − | 0.836271i | −0.450074 | − | 0.892991i | \(-0.648602\pi\) |
−0.998390 | + | 0.0567200i | \(0.981936\pi\) | |||||||
\(644\) | −2.48731 | − | 0.800045i | −0.0980139 | − | 0.0315262i | ||||
\(645\) | 13.0874 | − | 12.5748i | 0.515315 | − | 0.495130i | ||||
\(646\) | −22.5539 | + | 39.0644i | −0.887370 | + | 1.53697i | ||||
\(647\) | −18.1549 | − | 31.4452i | −0.713742 | − | 1.23624i | −0.963443 | − | 0.267915i | \(-0.913665\pi\) |
0.249700 | − | 0.968323i | \(-0.419668\pi\) | |||||||
\(648\) | −8.12850 | + | 3.86362i | −0.319317 | + | 0.151777i | ||||
\(649\) | 19.9098i | 0.781530i | ||||||||
\(650\) | −12.2970 | − | 38.1374i | −0.482329 | − | 1.49587i | ||||
\(651\) | −14.9830 | − | 10.0965i | −0.587229 | − | 0.395715i | ||||
\(652\) | −8.02328 | − | 13.8967i | −0.314216 | − | 0.544238i | ||||
\(653\) | −21.3580 | + | 12.3310i | −0.835801 | + | 0.482550i | −0.855835 | − | 0.517249i | \(-0.826956\pi\) |
0.0200335 | + | 0.999799i | \(0.493623\pi\) | |||||||
\(654\) | −3.93788 | + | 0.971292i | −0.153983 | + | 0.0379805i | ||||
\(655\) | −46.3664 | −1.81169 | ||||||||
\(656\) | −0.351799 | + | 0.609334i | −0.0137354 | + | 0.0237905i | ||||
\(657\) | 10.0370 | − | 15.8839i | 0.391581 | − | 0.619690i | ||||
\(658\) | −1.30244 | − | 6.03953i | −0.0507743 | − | 0.235445i | ||||
\(659\) | 25.0769 | + | 14.4781i | 0.976856 | + | 0.563988i | 0.901320 | − | 0.433155i | \(-0.142600\pi\) |
0.0755368 | + | 0.997143i | \(0.475933\pi\) | |||||||
\(660\) | −4.38556 | + | 15.1501i | −0.170708 | + | 0.589717i | ||||
\(661\) | −14.1347 | + | 8.16065i | −0.549775 | + | 0.317413i | −0.749031 | − | 0.662535i | \(-0.769481\pi\) |
0.199256 | + | 0.979947i | \(0.436147\pi\) | |||||||
\(662\) | − | 23.8822i | − | 0.928207i | ||||||
\(663\) | 26.6651 | + | 43.1290i | 1.03559 | + | 1.67499i | ||||
\(664\) | 3.69906i | 0.143552i | ||||||||
\(665\) | −43.7300 | + | 39.6097i | −1.69578 | + | 1.53600i | ||||
\(666\) | 7.06000 | + | 13.4409i | 0.273570 | + | 0.520824i | ||||
\(667\) | 3.93510 | − | 6.81579i | 0.152368 | − | 0.263908i | ||||
\(668\) | −7.57148 | −0.292949 | ||||||||
\(669\) | −14.4351 | + | 3.56047i | −0.558094 | + | 0.137656i | ||||
\(670\) | −11.8242 | − | 6.82672i | −0.456810 | − | 0.263739i | ||||
\(671\) | −5.11680 | −0.197532 | ||||||||
\(672\) | 4.11791 | − | 2.01068i | 0.158852 | − | 0.0775638i | ||||
\(673\) | −17.2346 | − | 29.8511i | −0.664343 | − | 1.15068i | −0.979463 | − | 0.201625i | \(-0.935378\pi\) |
0.315119 | − | 0.949052i | \(-0.397955\pi\) | |||||||
\(674\) | 24.6494 | − | 14.2314i | 0.949461 | − | 0.548172i | ||||
\(675\) | 38.3157 | + | 43.2062i | 1.47477 | + | 1.66301i | ||||
\(676\) | −10.5514 | + | 7.59392i | −0.405824 | + | 0.292074i | ||||
\(677\) | −28.7493 | −1.10493 | −0.552463 | − | 0.833537i | \(-0.686312\pi\) | ||||
−0.552463 | + | 0.833537i | \(0.686312\pi\) | |||||||
\(678\) | 7.60382 | + | 2.20111i | 0.292023 | + | 0.0845331i | ||||
\(679\) | 11.0604 | − | 10.0183i | 0.424459 | − | 0.384466i | ||||
\(680\) | −28.2266 | − | 16.2966i | −1.08244 | − | 0.624947i | ||||
\(681\) | 30.5902 | − | 29.3920i | 1.17222 | − | 1.12630i | ||||
\(682\) | 7.74546 | + | 4.47184i | 0.296589 | + | 0.171236i | ||||
\(683\) | 3.43153 | + | 1.98120i | 0.131304 | + | 0.0758083i | 0.564213 | − | 0.825629i | \(-0.309180\pi\) |
−0.432909 | + | 0.901438i | \(0.642513\pi\) | |||||||
\(684\) | 16.6531 | + | 0.665572i | 0.636747 | + | 0.0254488i | ||||
\(685\) | 49.1035 | + | 28.3499i | 1.87615 | + | 1.08319i | ||||
\(686\) | 7.38234 | − | 16.9853i | 0.281859 | − | 0.648503i | ||||
\(687\) | −6.99877 | + | 24.1775i | −0.267020 | + | 0.922430i | ||||
\(688\) | 2.61039 | 0.0995204 | ||||||||
\(689\) | −29.5824 | − | 6.35735i | −1.12700 | − | 0.242196i | ||||
\(690\) | 4.95114 | − | 4.75722i | 0.188487 | − | 0.181104i | ||||
\(691\) | −37.4810 | + | 21.6396i | −1.42584 | + | 0.823211i | −0.996789 | − | 0.0800680i | \(-0.974486\pi\) |
−0.429054 | + | 0.903279i | \(0.641153\pi\) | |||||||
\(692\) | −2.39162 | − | 4.14242i | −0.0909159 | − | 0.157471i | ||||
\(693\) | 6.19336 | − | 16.9067i | 0.235266 | − | 0.642231i | ||||
\(694\) | 27.0322 | 1.02613 | ||||||||
\(695\) | 48.5905 | + | 28.0537i | 1.84314 | + | 1.06414i | ||||
\(696\) | 3.30559 | + | 13.4018i | 0.125298 | + | 0.507993i | ||||
\(697\) | −5.71288 | −0.216391 | ||||||||
\(698\) | 11.2093 | − | 19.4151i | 0.424280 | − | 0.734874i | ||||
\(699\) | −7.43566 | + | 25.6868i | −0.281243 | + | 0.971564i | ||||
\(700\) | −19.7397 | − | 21.7931i | −0.746092 | − | 0.823703i | ||||
\(701\) | − | 39.4517i | − | 1.49007i | −0.667025 | − | 0.745035i | \(-0.732433\pi\) | ||
0.667025 | − | 0.745035i | \(-0.267567\pi\) | |||||||
\(702\) | 9.52610 | − | 16.1324i | 0.359539 | − | 0.608877i | ||||
\(703\) | − | 28.1149i | − | 1.06037i | ||||||
\(704\) | −1.96455 | + | 1.13423i | −0.0740416 | + | 0.0427479i | ||||
\(705\) | 15.5959 | + | 4.51460i | 0.587374 | + | 0.170030i | ||||
\(706\) | 2.84473 | + | 1.64240i | 0.107063 | + | 0.0618127i | ||||
\(707\) | −23.8378 | + | 5.14068i | −0.896513 | + | 0.193335i | ||||
\(708\) | 3.64049 | + | 14.7595i | 0.136818 | + | 0.554697i | ||||
\(709\) | 3.91084 | − | 6.77378i | 0.146875 | − | 0.254395i | −0.783196 | − | 0.621775i | \(-0.786412\pi\) |
0.930071 | + | 0.367380i | \(0.119745\pi\) | |||||||
\(710\) | −0.0314395 | −0.00117990 | ||||||||
\(711\) | 15.8217 | + | 9.99768i | 0.593359 | + | 0.374942i | ||||
\(712\) | −4.09953 | + | 2.36686i | −0.153636 | + | 0.0887019i | ||||
\(713\) | −1.94677 | − | 3.37190i | −0.0729071 | − | 0.126279i | ||||
\(714\) | 30.8563 | + | 20.7930i | 1.15477 | + | 0.778160i | ||||
\(715\) | −10.0756 | − | 31.2480i | −0.376806 | − | 1.16861i | ||||
\(716\) | 14.4335i | 0.539405i | ||||||||
\(717\) | −5.06613 | + | 17.5012i | −0.189198 | + | 0.653593i | ||||
\(718\) | −18.5351 | − | 32.1037i | −0.691724 | − | 1.19810i | ||||
\(719\) | −2.33583 | + | 4.04577i | −0.0871116 | + | 0.150882i | −0.906289 | − | 0.422658i | \(-0.861097\pi\) |
0.819177 | + | 0.573540i | \(0.194430\pi\) | |||||||
\(720\) | −0.480919 | + | 12.0329i | −0.0179228 | + | 0.448441i | ||||
\(721\) | 10.2210 | + | 3.28760i | 0.380652 | + | 0.122437i | ||||
\(722\) | −10.2738 | − | 5.93160i | −0.382352 | − | 0.220751i | ||||
\(723\) | 27.9092 | + | 29.0469i | 1.03795 | + | 1.08026i | ||||
\(724\) | 11.6632 | + | 6.73376i | 0.433460 | + | 0.250258i | ||||
\(725\) | 76.7034 | − | 44.2847i | 2.84869 | − | 1.64469i | ||||
\(726\) | 2.81939 | − | 9.73970i | 0.104637 | − | 0.361474i | ||||
\(727\) | − | 19.6014i | − | 0.726976i | −0.931599 | − | 0.363488i | \(-0.881586\pi\) | ||
0.931599 | − | 0.363488i | \(-0.118414\pi\) | |||||||
\(728\) | −4.76378 | + | 8.26477i | −0.176558 | + | 0.306313i | ||||
\(729\) | −3.22785 | + | 26.8064i | −0.119550 | + | 0.992828i | ||||
\(730\) | −12.5707 | − | 21.7730i | −0.465261 | − | 0.805856i | ||||
\(731\) | 10.5976 | + | 18.3555i | 0.391966 | + | 0.678904i | ||||
\(732\) | −3.79317 | + | 0.935600i | −0.140200 | + | 0.0345808i | ||||
\(733\) | 24.4651i | 0.903637i | 0.892110 | + | 0.451819i | \(0.149225\pi\) | ||||
−0.892110 | + | 0.451819i | \(0.850775\pi\) | |||||||
\(734\) | −11.6105 | + | 20.1100i | −0.428552 | + | 0.742275i | ||||
\(735\) | 30.0941 | + | 38.2499i | 1.11004 | + | 1.41087i | ||||
\(736\) | 0.987551 | 0.0364016 | ||||||||
\(737\) | −6.68200 | − | 3.85786i | −0.246135 | − | 0.142106i | ||||
\(738\) | 0.981554 | + | 1.86869i | 0.0361315 | + | 0.0687874i | ||||
\(739\) | −21.8086 | − | 37.7737i | −0.802243 | − | 1.38953i | −0.918136 | − | 0.396265i | \(-0.870306\pi\) |
0.115893 | − | 0.993262i | \(-0.463027\pi\) | |||||||
\(740\) | 20.3148 | 0.746787 | ||||||||
\(741\) | −29.5093 | + | 18.2446i | −1.08405 | + | 0.670231i | ||||
\(742\) | −21.7042 | + | 4.68055i | −0.796785 | + | 0.171828i | ||||
\(743\) | −17.4281 | + | 10.0621i | −0.639376 | + | 0.369144i | −0.784374 | − | 0.620288i | \(-0.787016\pi\) |
0.144998 | + | 0.989432i | \(0.453682\pi\) | |||||||
\(744\) | 6.55952 | + | 1.89881i | 0.240484 | + | 0.0696138i | ||||
\(745\) | −73.8930 | − | 42.6621i | −2.70723 | − | 1.56302i | ||||
\(746\) | 5.73887i | 0.210115i | ||||||||
\(747\) | 9.38120 | + | 5.92796i | 0.343240 | + | 0.216893i | ||||
\(748\) | −15.9512 | − | 9.20941i | −0.583233 | − | 0.336730i | ||||
\(749\) | 6.42094 | + | 29.7745i | 0.234616 | + | 1.08794i | ||||
\(750\) | 41.2702 | − | 10.1794i | 1.50697 | − | 0.371700i | ||||
\(751\) | −6.86283 | − | 11.8868i | −0.250428 | − | 0.433754i | 0.713216 | − | 0.700945i | \(-0.247238\pi\) |
−0.963644 | + | 0.267190i | \(0.913905\pi\) | |||||||
\(752\) | 1.16760 | + | 2.02235i | 0.0425781 | + | 0.0737474i | ||||
\(753\) | 12.6348 | − | 12.1399i | 0.460437 | − | 0.442402i | ||||
\(754\) | −21.3104 | − | 19.2747i | −0.776079 | − | 0.701945i | ||||
\(755\) | 33.2769 | 1.21107 | ||||||||
\(756\) | 1.49989 | − | 13.6657i | 0.0545504 | − | 0.497015i | ||||
\(757\) | 26.9905 | + | 46.7489i | 0.980987 | + | 1.69912i | 0.658566 | + | 0.752523i | \(0.271163\pi\) |
0.322421 | + | 0.946596i | \(0.395503\pi\) | |||||||
\(758\) | −14.4171 | − | 8.32374i | −0.523654 | − | 0.302332i | ||||
\(759\) | 2.79795 | − | 2.68836i | 0.101559 | − | 0.0975812i | ||||
\(760\) | 11.1503 | − | 19.3129i | 0.404465 | − | 0.700554i | ||||
\(761\) | −9.42194 | + | 16.3193i | −0.341545 | + | 0.591573i | −0.984720 | − | 0.174146i | \(-0.944283\pi\) |
0.643175 | + | 0.765719i | \(0.277617\pi\) | |||||||
\(762\) | 1.75964 | + | 1.83138i | 0.0637452 | + | 0.0663438i | ||||
\(763\) | 1.89706 | − | 5.89790i | 0.0686782 | − | 0.213518i | ||||
\(764\) | 11.8282 | − | 6.82900i | 0.427928 | − | 0.247064i | ||||
\(765\) | −86.5647 | + | 45.4692i | −3.12975 | + | 1.64394i | ||||
\(766\) | 11.3485i | 0.410038i | ||||||||
\(767\) | −23.4694 | − | 21.2275i | −0.847431 | − | 0.766481i | ||||
\(768\) | −1.24896 | + | 1.20004i | −0.0450680 | + | 0.0433027i | ||||
\(769\) | 37.5392 | − | 21.6733i | 1.35370 | − | 0.781559i | 0.364934 | − | 0.931034i | \(-0.381092\pi\) |
0.988765 | + | 0.149475i | \(0.0477584\pi\) | |||||||
\(770\) | −16.1738 | − | 17.8563i | −0.582863 | − | 0.643495i | ||||
\(771\) | −0.240199 | − | 0.973830i | −0.00865054 | − | 0.0350716i | ||||
\(772\) | 15.2976 | 0.550573 | ||||||||
\(773\) | 10.3803 | − | 17.9793i | 0.373355 | − | 0.646669i | −0.616725 | − | 0.787179i | \(-0.711541\pi\) |
0.990079 | + | 0.140510i | \(0.0448742\pi\) | |||||||
\(774\) | 4.18331 | − | 6.62023i | 0.150366 | − | 0.237959i | ||||
\(775\) | − | 43.8170i | − | 1.57395i | ||||||
\(776\) | −2.82020 | + | 4.88472i | −0.101239 | + | 0.175351i | ||||
\(777\) | −23.1355 | − | 1.60755i | −0.829982 | − | 0.0576707i | ||||
\(778\) | −0.757076 | − | 1.31129i | −0.0271425 | − | 0.0470122i | ||||
\(779\) | − | 3.90881i | − | 0.140048i | ||||||
\(780\) | −13.1829 | − | 21.3224i | −0.472023 | − | 0.763465i | ||||
\(781\) | −0.0177668 | −0.000635747 | ||||||||
\(782\) | 4.00922 | + | 6.94418i | 0.143369 | + | 0.248323i | ||||
\(783\) | 39.2856 | + | 13.0938i | 1.40395 | + | 0.467934i | ||||
\(784\) | −0.690475 | + | 6.96586i | −0.0246598 | + | 0.248781i | ||||
\(785\) | 12.7157i | 0.453843i | ||||||||
\(786\) | −19.4242 | + | 4.79104i | −0.692837 | + | 0.170891i | ||||
\(787\) | −30.3582 | − | 17.5273i | −1.08215 | − | 0.624782i | −0.150677 | − | 0.988583i | \(-0.548145\pi\) |
−0.931477 | + | 0.363801i | \(0.881479\pi\) | |||||||
\(788\) | 8.80078i | 0.313515i | ||||||||
\(789\) | −43.1388 | + | 10.6403i | −1.53578 | + | 0.378806i | ||||
\(790\) | 21.6877 | − | 12.5214i | 0.771614 | − | 0.445492i | ||||
\(791\) | −8.96203 | + | 8.11761i | −0.318653 | + | 0.288629i | ||||
\(792\) | −0.271773 | + | 6.79996i | −0.00965703 | + | 0.241626i | ||||
\(793\) | 5.45543 | − | 6.03159i | 0.193728 | − | 0.214188i | ||||
\(794\) | 7.70998 | 0.273617 | ||||||||
\(795\) | 16.2240 | − | 56.0466i | 0.575407 | − | 1.98777i | ||||
\(796\) | −19.7321 | + | 11.3924i | −0.699387 | + | 0.403791i | ||||
\(797\) | −17.2751 | + | 29.9213i | −0.611914 | + | 1.05987i | 0.379003 | + | 0.925395i | \(0.376267\pi\) |
−0.990918 | + | 0.134471i | \(0.957066\pi\) | |||||||
\(798\) | −14.2268 | + | 21.1122i | −0.503624 | + | 0.747363i | ||||
\(799\) | −9.48038 | + | 16.4205i | −0.335392 | + | 0.580915i | ||||
\(800\) | 9.62473 | + | 5.55684i | 0.340286 | + | 0.196464i | ||||
\(801\) | −0.567124 | + | 14.1898i | −0.0200383 | + | 0.501374i | ||||
\(802\) | 12.8796 | − | 22.3081i | 0.454794 | − | 0.787727i | ||||
\(803\) | −7.10383 | − | 12.3042i | −0.250689 | − | 0.434205i | ||||
\(804\) | −5.65890 | − | 1.63810i | −0.199574 | − | 0.0577714i | ||||
\(805\) | 2.21100 | + | 10.2526i | 0.0779275 | + | 0.361358i | ||||
\(806\) | −13.5294 | + | 4.36242i | −0.476553 | + | 0.153660i | ||||
\(807\) | 0.101351 | − | 0.0973811i | 0.00356772 | − | 0.00342798i | ||||
\(808\) | 7.98213 | − | 4.60849i | 0.280810 | − | 0.162126i | ||||
\(809\) | 16.6054 | − | 9.58712i | 0.583814 | − | 0.337065i | −0.178834 | − | 0.983879i | \(-0.557232\pi\) |
0.762648 | + | 0.646814i | \(0.223899\pi\) | |||||||
\(810\) | 29.7461 | + | 20.5032i | 1.04517 | + | 0.720407i | ||||
\(811\) | − | 4.98832i | − | 0.175163i | −0.996157 | − | 0.0875817i | \(-0.972086\pi\) | ||
0.996157 | − | 0.0875817i | \(-0.0279139\pi\) | |||||||
\(812\) | −20.0723 | − | 6.45626i | −0.704399 | − | 0.226570i | ||||
\(813\) | 33.4769 | − | 8.25720i | 1.17409 | − | 0.289593i | ||||
\(814\) | 11.4801 | 0.402378 | ||||||||
\(815\) | −32.2069 | + | 55.7841i | −1.12816 | + | 1.95403i | ||||
\(816\) | −13.5088 | − | 3.91045i | −0.472903 | − | 0.136893i | ||||
\(817\) | −12.5591 | + | 7.25098i | −0.439386 | + | 0.253680i | ||||
\(818\) | −7.83174 | −0.273830 | ||||||||
\(819\) | 13.3260 | + | 25.3262i | 0.465650 | + | 0.884969i | ||||
\(820\) | 2.82437 | 0.0986313 | ||||||||
\(821\) | −24.2403 | + | 13.9951i | −0.845991 | + | 0.488433i | −0.859296 | − | 0.511478i | \(-0.829098\pi\) |
0.0133052 | + | 0.999911i | \(0.495765\pi\) | |||||||
\(822\) | 23.5002 | + | 6.80269i | 0.819663 | + | 0.237271i | ||||
\(823\) | 22.5407 | − | 39.0417i | 0.785721 | − | 1.36091i | −0.142847 | − | 0.989745i | \(-0.545626\pi\) |
0.928568 | − | 0.371163i | \(-0.121041\pi\) | |||||||
\(824\) | −4.05811 | −0.141371 | ||||||||
\(825\) | 42.3961 | − | 10.4571i | 1.47604 | − | 0.364071i | ||||
\(826\) | −22.1059 | − | 7.11036i | −0.769161 | − | 0.247401i | ||||
\(827\) | 12.6279i | 0.439117i | 0.975599 | + | 0.219558i | \(0.0704616\pi\) | ||||
−0.975599 | + | 0.219558i | \(0.929538\pi\) | |||||||
\(828\) | 1.58261 | − | 2.50453i | 0.0549994 | − | 0.0870384i | ||||
\(829\) | 32.2216 | − | 18.6032i | 1.11910 | − | 0.646114i | 0.177931 | − | 0.984043i | \(-0.443060\pi\) |
0.941172 | + | 0.337929i | \(0.109726\pi\) | |||||||
\(830\) | 12.8594 | − | 7.42436i | 0.446355 | − | 0.257703i | ||||
\(831\) | −10.9373 | + | 10.5089i | −0.379410 | + | 0.364549i | ||||
\(832\) | 0.757550 | − | 3.52507i | 0.0262633 | − | 0.122210i | ||||
\(833\) | −51.7851 | + | 23.4245i | −1.79425 | + | 0.811611i | ||||
\(834\) | 23.2547 | + | 6.73163i | 0.805244 | + | 0.233097i | ||||
\(835\) | 15.1967 | + | 26.3214i | 0.525902 | + | 0.910889i | ||||
\(836\) | 6.30118 | − | 10.9140i | 0.217931 | − | 0.377467i | ||||
\(837\) | 15.3276 | − | 13.5927i | 0.529799 | − | 0.469831i | ||||
\(838\) | −26.2543 | − | 15.1579i | −0.906941 | − | 0.523622i | ||||
\(839\) | 17.0336 | − | 29.5030i | 0.588064 | − | 1.01856i | −0.406421 | − | 0.913686i | \(-0.633223\pi\) |
0.994486 | − | 0.104872i | \(-0.0334432\pi\) | |||||||
\(840\) | −15.2549 | − | 10.2798i | −0.526345 | − | 0.354687i | ||||
\(841\) | 17.2557 | − | 29.8878i | 0.595025 | − | 1.03061i | ||||
\(842\) | −31.2318 | + | 18.0317i | −1.07632 | + | 0.621413i | ||||
\(843\) | 8.54044 | − | 29.5033i | 0.294148 | − | 1.01615i | ||||
\(844\) | 13.2595 | 0.456411 | ||||||||
\(845\) | 47.5771 | + | 21.4391i | 1.63670 | + | 0.737527i | ||||
\(846\) | 7.00003 | + | 0.279769i | 0.240666 | + | 0.00961866i | ||||
\(847\) | 10.3978 | + | 11.4794i | 0.357273 | + | 0.394438i | ||||
\(848\) | 7.26768 | − | 4.19600i | 0.249573 | − | 0.144091i | ||||
\(849\) | 28.9561 | − | 7.14212i | 0.993770 | − | 0.245117i | ||||
\(850\) | 90.2378i | 3.09513i | ||||||||
\(851\) | −4.32818 | − | 2.49888i | −0.148368 | − | 0.0856604i | ||||
\(852\) | −0.0131709 | + | 0.00324864i | −0.000451227 | + | 0.000111297i | ||||
\(853\) | 35.7194i | 1.22301i | 0.791241 | + | 0.611504i | \(0.209435\pi\) | ||||
−0.791241 | + | 0.611504i | \(0.790565\pi\) | |||||||
\(854\) | 1.82735 | − | 5.68117i | 0.0625306 | − | 0.194406i | ||||
\(855\) | −31.1105 | − | 59.2285i | −1.06396 | − | 2.02557i | ||||
\(856\) | −5.75621 | − | 9.97005i | −0.196743 | − | 0.340769i | ||||
\(857\) | −35.3021 | −1.20590 | −0.602948 | − | 0.797781i | \(-0.706007\pi\) | ||||
−0.602948 | + | 0.797781i | \(0.706007\pi\) | |||||||
\(858\) | −7.44980 | − | 12.0495i | −0.254332 | − | 0.411364i | ||||
\(859\) | − | 9.74087i | − | 0.332354i | −0.986096 | − | 0.166177i | \(-0.946858\pi\) | ||
0.986096 | − | 0.166177i | \(-0.0531423\pi\) | |||||||
\(860\) | −5.23930 | − | 9.07474i | −0.178659 | − | 0.309446i | ||||
\(861\) | −3.21653 | − | 0.223499i | −0.109619 | − | 0.00761681i | ||||
\(862\) | −12.3726 | + | 21.4300i | −0.421413 | + | 0.729910i | ||||
\(863\) | − | 1.89765i | − | 0.0645967i | −0.999478 | − | 0.0322983i | \(-0.989717\pi\) | ||
0.999478 | − | 0.0322983i | \(-0.0102827\pi\) | |||||||
\(864\) | 1.04189 | + | 5.09062i | 0.0354459 | + | 0.173187i | ||||
\(865\) | −9.60042 | + | 16.6284i | −0.326424 | + | 0.565383i | ||||
\(866\) | 10.6991 | 0.363569 | ||||||||
\(867\) | −20.2941 | − | 82.2776i | −0.689223 | − | 2.79429i | ||||
\(868\) | −7.73120 | + | 7.00275i | −0.262414 | + | 0.237689i | ||||
\(869\) | 12.2560 | − | 7.07599i | 0.415755 | − | 0.240036i | ||||
\(870\) | 39.9551 | − | 38.3901i | 1.35460 | − | 1.30155i | ||||
\(871\) | 11.6718 | − | 3.76346i | 0.395484 | − | 0.127520i | ||||
\(872\) | 2.34167i | 0.0792991i | ||||||||
\(873\) | 7.86863 | + | 14.9804i | 0.266313 | + | 0.507008i | ||||
\(874\) | −4.75128 | + | 2.74315i | −0.160714 | + | 0.0927885i | ||||
\(875\) | −19.8818 | + | 61.8117i | −0.672127 | + | 2.08962i | ||||
\(876\) | −7.51600 | − | 7.82239i | −0.253942 | − | 0.264294i | ||||
\(877\) | 0.202737 | − | 0.351151i | 0.00684595 | − | 0.0118575i | −0.862582 | − | 0.505917i | \(-0.831154\pi\) |
0.869428 | + | 0.494060i | \(0.164488\pi\) | |||||||
\(878\) | −9.45090 | + | 16.3694i | −0.318953 | + | 0.552442i | ||||
\(879\) | −32.0958 | + | 30.8387i | −1.08257 | + | 1.04016i | ||||
\(880\) | 7.88605 | + | 4.55301i | 0.265839 | + | 0.153482i | ||||
\(881\) | 7.37246 | + | 12.7695i | 0.248384 | + | 0.430214i | 0.963078 | − | 0.269224i | \(-0.0867671\pi\) |
−0.714693 | + | 0.699438i | \(0.753434\pi\) | |||||||
\(882\) | 16.5596 | + | 12.9143i | 0.557591 | + | 0.434847i | ||||
\(883\) | 0.0828538 | 0.00278825 | 0.00139413 | − | 0.999999i | \(-0.499556\pi\) | ||||
0.00139413 | + | 0.999999i | \(0.499556\pi\) | |||||||
\(884\) | 27.8628 | − | 8.98407i | 0.937126 | − | 0.302167i | ||||
\(885\) | 44.0030 | − | 42.2795i | 1.47915 | − | 1.42121i | ||||
\(886\) | 9.57304 | + | 16.5810i | 0.321613 | + | 0.557049i | ||||
\(887\) | −5.54881 | − | 9.61083i | −0.186311 | − | 0.322700i | 0.757707 | − | 0.652595i | \(-0.226320\pi\) |
−0.944017 | + | 0.329895i | \(0.892987\pi\) | |||||||
\(888\) | 8.51043 | − | 2.09913i | 0.285591 | − | 0.0704421i | ||||
\(889\) | −3.79234 | + | 0.817826i | −0.127191 | + | 0.0274290i | ||||
\(890\) | 16.4563 | + | 9.50102i | 0.551615 | + | 0.318475i | ||||
\(891\) | 16.8098 | + | 11.5866i | 0.563151 | + | 0.388165i | ||||
\(892\) | 8.58389i | 0.287410i | ||||||||
\(893\) | −11.2351 | − | 6.48658i | −0.375968 | − | 0.217065i | ||||
\(894\) | −35.3641 | − | 10.2370i | −1.18275 | − | 0.342376i | ||||
\(895\) | 50.1764 | − | 28.9693i | 1.67721 | − | 0.968338i | ||||
\(896\) | −0.557740 | − | 2.58630i | −0.0186328 | − | 0.0864021i | ||||
\(897\) | 0.185869 | + | 6.16445i | 0.00620598 | + | 0.205825i | ||||
\(898\) | 6.57029 | 0.219253 | ||||||||
\(899\) | −15.7102 | − | 27.2108i | −0.523964 | − | 0.907532i | ||||
\(900\) | 29.5169 | − | 15.5041i | 0.983896 | − | 0.516804i | ||||
\(901\) | 59.0101 | + | 34.0695i | 1.96591 | + | 1.13502i | ||||
\(902\) | 1.59608 | 0.0531438 | ||||||||
\(903\) | 5.24868 | + | 10.7494i | 0.174665 | + | 0.357716i | ||||
\(904\) | 2.28515 | − | 3.95800i | 0.0760030 | − | 0.131641i | ||||
\(905\) | − | 54.0611i | − | 1.79705i | ||||||
\(906\) | 13.9406 | − | 3.43850i | 0.463146 | − | 0.114237i | ||||
\(907\) | 6.79002 | + | 11.7607i | 0.225459 | + | 0.390506i | 0.956457 | − | 0.291873i | \(-0.0942786\pi\) |
−0.730998 | + | 0.682379i | \(0.760945\pi\) | |||||||
\(908\) | −12.2462 | − | 21.2111i | −0.406406 | − | 0.703916i | ||||
\(909\) | 1.10424 | − | 27.6289i | 0.0366253 | − | 0.916391i | ||||
\(910\) | 38.2929 | − | 0.0273938i | 1.26940 | − | 0.000908095i | ||||
\(911\) | 2.39193i | 0.0792482i | 0.999215 | + | 0.0396241i | \(0.0126160\pi\) | ||||
−0.999215 | + | 0.0396241i | \(0.987384\pi\) | |||||||
\(912\) | 2.67557 | − | 9.24288i | 0.0885971 | − | 0.306062i | ||||
\(913\) | 7.26698 | − | 4.19559i | 0.240502 | − | 0.138854i | ||||
\(914\) | −25.5034 | − | 14.7244i | −0.843578 | − | 0.487040i | ||||
\(915\) | 10.8658 | + | 11.3087i | 0.359211 | + | 0.373854i | ||||
\(916\) | 12.5851 | + | 7.26599i | 0.415822 | + | 0.240075i | ||||
\(917\) | 9.35753 | − | 29.0922i | 0.309013 | − | 0.960710i | ||||
\(918\) | −31.5660 | + | 27.9930i | −1.04183 | + | 0.923907i | ||||
\(919\) | 5.36950 | − | 9.30025i | 0.177124 | − | 0.306787i | −0.763771 | − | 0.645488i | \(-0.776654\pi\) |
0.940894 | + | 0.338701i | \(0.109987\pi\) | |||||||
\(920\) | −1.98211 | − | 3.43311i | −0.0653481 | − | 0.113186i | ||||
\(921\) | 2.49733 | − | 8.62714i | 0.0822899 | − | 0.284274i | ||||
\(922\) | 13.1013i | 0.431467i | ||||||||
\(923\) | 0.0189427 | − | 0.0209432i | 0.000623506 | − | 0.000689355i | ||||
\(924\) | −8.62073 | − | 5.80924i | −0.283601 | − | 0.191110i | ||||
\(925\) | −28.1218 | − | 48.7084i | −0.924639 | − | 1.60152i | ||||
\(926\) | −11.2417 | + | 6.49041i | −0.369426 | + | 0.213288i | ||||
\(927\) | −6.50336 | + | 10.2918i | −0.213598 | + | 0.338027i | ||||
\(928\) | 7.96941 | 0.261609 | ||||||||
\(929\) | −14.6024 | + | 25.2921i | −0.479089 | + | 0.829806i | −0.999712 | − | 0.0239800i | \(-0.992366\pi\) |
0.520623 | + | 0.853786i | \(0.325700\pi\) | |||||||
\(930\) | −6.56457 | − | 26.6145i | −0.215261 | − | 0.872725i | ||||
\(931\) | −16.0273 | − | 35.4319i | −0.525274 | − | 1.16123i | ||||
\(932\) | 13.3707 | + | 7.71957i | 0.437971 | + | 0.252863i | ||||
\(933\) | 0.514897 | + | 0.149049i | 0.0168570 | + | 0.00487966i | ||||
\(934\) | −0.355699 | + | 0.205363i | −0.0116388 | + | 0.00671968i | ||||
\(935\) | 73.9366i | 2.41798i | ||||||||
\(936\) | −7.72592 | − | 7.57035i | −0.252529 | − | 0.247445i | ||||
\(937\) | − | 5.17099i | − | 0.168929i | −0.996426 | − | 0.0844644i | \(-0.973082\pi\) | ||
0.996426 | − | 0.0844644i | \(-0.0269179\pi\) | |||||||
\(938\) | 6.66970 | − | 6.04127i | 0.217773 | − | 0.197254i | ||||
\(939\) | −3.71695 | + | 12.8404i | −0.121298 | + | 0.419029i | ||||
\(940\) | 4.68697 | − | 8.11807i | 0.152872 | − | 0.264782i | ||||
\(941\) | 31.2867 | 1.01992 | 0.509958 | − | 0.860199i | \(-0.329661\pi\) | ||||
0.509958 | + | 0.860199i | \(0.329661\pi\) | |||||||
\(942\) | 1.31391 | + | 5.32695i | 0.0428096 | + | 0.173561i | ||||
\(943\) | −0.601748 | − | 0.347419i | −0.0195956 | − | 0.0113135i | ||||
\(944\) | 8.77680 | 0.285661 | ||||||||
\(945\) | −50.5175 | + | 22.2141i | −1.64334 | + | 0.722623i | ||||
\(946\) | −2.96079 | − | 5.12824i | −0.0962636 | − | 0.166733i | ||||
\(947\) | 52.1128 | − | 30.0873i | 1.69344 | − | 0.977707i | 0.741731 | − | 0.670697i | \(-0.234005\pi\) |
0.951706 | − | 0.307010i | \(-0.0993284\pi\) | |||||||
\(948\) | 7.79174 | − | 7.48655i | 0.253064 | − | 0.243152i | ||||
\(949\) | 22.0779 | + | 4.74463i | 0.716680 | + | 0.154017i | ||||
\(950\) | −61.7417 | −2.00316 | ||||||||
\(951\) | −0.0931123 | + | 0.321660i | −0.00301937 | + | 0.0104306i | ||||
\(952\) | 15.9218 | − | 14.4216i | 0.516028 | − | 0.467407i | ||||
\(953\) | −7.04934 | − | 4.06994i | −0.228351 | − | 0.131838i | 0.381460 | − | 0.924385i | \(-0.375421\pi\) |
−0.609811 | + | 0.792547i | \(0.708755\pi\) | |||||||
\(954\) | 1.00540 | − | 25.1559i | 0.0325511 | − | 0.814452i | ||||
\(955\) | −47.4805 | − | 27.4129i | −1.53643 | − | 0.887059i | ||||
\(956\) | 9.10984 | + | 5.25957i | 0.294633 | + | 0.170107i | ||||
\(957\) | 22.5791 | − | 21.6947i | 0.729878 | − | 0.701290i | ||||
\(958\) | −8.17611 | − | 4.72048i | −0.264158 | − | 0.152512i | ||||
\(959\) | −27.6978 | + | 25.0881i | −0.894410 | + | 0.810136i | ||||
\(960\) | 6.67858 | + | 1.93328i | 0.215550 | + | 0.0623962i | ||||
\(961\) | 15.4557 | 0.498572 | ||||||||
\(962\) | −12.2399 | + | 13.5326i | −0.394630 | + | 0.436308i | ||||
\(963\) | −34.5097 | − | 1.37924i | −1.11206 | − | 0.0444455i | ||||
\(964\) | 20.1410 | − | 11.6284i | 0.648698 | − | 0.374526i | ||||
\(965\) | −30.7037 | − | 53.1804i | −0.988388 | − | 1.71194i | ||||
\(966\) | 1.98565 | + | 4.06664i | 0.0638873 | + | 0.130842i | ||||
\(967\) | −30.3473 | −0.975903 | −0.487951 | − | 0.872871i | \(-0.662256\pi\) | ||||
−0.487951 | + | 0.872871i | \(0.662256\pi\) | |||||||
\(968\) | −5.06978 | − | 2.92704i | −0.162949 | − | 0.0940787i | ||||
\(969\) | 75.8555 | − | 18.7100i | 2.43683 | − | 0.601053i | ||||
\(970\) | 22.6416 | 0.726977 | ||||||||
\(971\) | 8.97759 | − | 15.5496i | 0.288105 | − | 0.499012i | −0.685253 | − | 0.728305i | \(-0.740308\pi\) |
0.973357 | + | 0.229294i | \(0.0736416\pi\) | |||||||
\(972\) | 14.5800 | + | 5.51567i | 0.467655 | + | 0.176915i | ||||
\(973\) | −27.4085 | + | 24.8260i | −0.878675 | + | 0.795885i | ||||
\(974\) | − | 3.00709i | − | 0.0963534i | ||||||
\(975\) | −32.8752 | + | 61.1250i | −1.05285 | + | 1.95757i | ||||
\(976\) | 2.25562i | 0.0722008i | ||||||||
\(977\) | 0.709702 | − | 0.409747i | 0.0227054 | − | 0.0131090i | −0.488604 | − | 0.872505i | \(-0.662494\pi\) |
0.511310 | + | 0.859397i | \(0.329161\pi\) | |||||||
\(978\) | −7.72821 | + | 26.6974i | −0.247121 | + | 0.853689i | ||||
\(979\) | 9.29962 | + | 5.36914i | 0.297217 | + | 0.171598i | ||||
\(980\) | 25.6019 | − | 11.5808i | 0.817822 | − | 0.369934i | ||||
\(981\) | 5.93872 | + | 3.75267i | 0.189609 | + | 0.119813i | ||||
\(982\) | 2.89721 | − | 5.01812i | 0.0924538 | − | 0.160135i | ||||
\(983\) | 27.5273 | 0.877983 | 0.438991 | − | 0.898491i | \(-0.355336\pi\) | ||||
0.438991 | + | 0.898491i | \(0.355336\pi\) | |||||||
\(984\) | 1.18321 | − | 0.291842i | 0.0377193 | − | 0.00930359i | ||||
\(985\) | 30.5949 | − | 17.6640i | 0.974834 | − | 0.562821i | ||||
\(986\) | 32.3539 | + | 56.0386i | 1.03036 | + | 1.78463i | ||||
\(987\) | −5.98016 | + | 8.87438i | −0.190351 | + | 0.282474i | ||||
\(988\) | 6.14700 | + | 19.0640i | 0.195562 | + | 0.606507i | ||||
\(989\) | 2.57790i | 0.0819724i | ||||||||
\(990\) | 24.1847 | − | 12.7034i | 0.768642 | − | 0.403739i | ||||
\(991\) | −26.3473 | − | 45.6349i | −0.836951 | − | 1.44964i | −0.892432 | − | 0.451182i | \(-0.851003\pi\) |
0.0554809 | − | 0.998460i | \(-0.482331\pi\) | |||||||
\(992\) | 1.97131 | − | 3.41441i | 0.0625892 | − | 0.108408i | ||||
\(993\) | −29.8279 | + | 28.6596i | −0.946560 | + | 0.909485i | ||||
\(994\) | 0.00634503 | − | 0.0197265i | 0.000201252 | − | 0.000625686i | ||||
\(995\) | 79.2084 | + | 45.7310i | 2.51108 | + | 1.44977i | ||||
\(996\) | 4.61999 | − | 4.43903i | 0.146390 | − | 0.140656i | ||||
\(997\) | 36.5103 | + | 21.0792i | 1.15629 | + | 0.667586i | 0.950413 | − | 0.310991i | \(-0.100661\pi\) |
0.205880 | + | 0.978577i | \(0.433994\pi\) | |||||||
\(998\) | −18.2769 | + | 10.5522i | −0.578545 | + | 0.334023i | ||||
\(999\) | 8.31485 | − | 24.9473i | 0.263070 | − | 0.789297i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bq.c.419.13 | yes | 64 | |
3.2 | odd | 2 | inner | 546.2.bq.c.419.25 | yes | 64 | |
7.6 | odd | 2 | inner | 546.2.bq.c.419.4 | ✓ | 64 | |
13.9 | even | 3 | inner | 546.2.bq.c.503.24 | yes | 64 | |
21.20 | even | 2 | inner | 546.2.bq.c.419.24 | yes | 64 | |
39.35 | odd | 6 | inner | 546.2.bq.c.503.4 | yes | 64 | |
91.48 | odd | 6 | inner | 546.2.bq.c.503.25 | yes | 64 | |
273.230 | even | 6 | inner | 546.2.bq.c.503.13 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bq.c.419.4 | ✓ | 64 | 7.6 | odd | 2 | inner | |
546.2.bq.c.419.13 | yes | 64 | 1.1 | even | 1 | trivial | |
546.2.bq.c.419.24 | yes | 64 | 21.20 | even | 2 | inner | |
546.2.bq.c.419.25 | yes | 64 | 3.2 | odd | 2 | inner | |
546.2.bq.c.503.4 | yes | 64 | 39.35 | odd | 6 | inner | |
546.2.bq.c.503.13 | yes | 64 | 273.230 | even | 6 | inner | |
546.2.bq.c.503.24 | yes | 64 | 13.9 | even | 3 | inner | |
546.2.bq.c.503.25 | yes | 64 | 91.48 | odd | 6 | inner |