Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(29,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.m (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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | 12.0.20138089353117696.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3x^{10} - 2x^{9} + 2x^{8} + 4x^{7} + 2x^{6} + 8x^{5} + 8x^{4} - 16x^{3} - 48x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Root | \(-1.12465 - 0.857418i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 112.29 |
Dual form | 112.2.m.d.85.5 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.857418 | + | 1.12465i | 0.606286 | + | 0.795246i | ||||
\(3\) | 0.416854 | + | 0.416854i | 0.240671 | + | 0.240671i | 0.817128 | − | 0.576457i | \(-0.195565\pi\) |
−0.576457 | + | 0.817128i | \(0.695565\pi\) | |||||||
\(4\) | −0.529667 | + | 1.92859i | −0.264834 | + | 0.964294i | ||||
\(5\) | −1.13169 | + | 1.13169i | −0.506108 | + | 0.506108i | −0.913329 | − | 0.407222i | \(-0.866498\pi\) |
0.407222 | + | 0.913329i | \(0.366498\pi\) | |||||||
\(6\) | −0.111396 | + | 0.826233i | −0.0454772 | + | 0.337308i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | −2.62313 | + | 1.05792i | −0.927416 | + | 0.374030i | ||||
\(9\) | − | 2.65247i | − | 0.884155i | ||||||
\(10\) | −2.24309 | − | 0.302422i | −0.709326 | − | 0.0956341i | ||||
\(11\) | 3.85718 | − | 3.85718i | 1.16298 | − | 1.16298i | 0.179163 | − | 0.983819i | \(-0.442661\pi\) |
0.983819 | − | 0.179163i | \(-0.0573390\pi\) | |||||||
\(12\) | −1.02473 | + | 0.583146i | −0.295815 | + | 0.168340i | ||||
\(13\) | 4.66311 | + | 4.66311i | 1.29332 | + | 1.29332i | 0.932724 | + | 0.360591i | \(0.117425\pi\) |
0.360591 | + | 0.932724i | \(0.382575\pi\) | |||||||
\(14\) | 1.12465 | − | 0.857418i | 0.300575 | − | 0.229155i | ||||
\(15\) | −0.943500 | −0.243611 | ||||||||
\(16\) | −3.43890 | − | 2.04302i | −0.859726 | − | 0.510755i | ||||
\(17\) | −5.33230 | −1.29327 | −0.646637 | − | 0.762798i | \(-0.723825\pi\) | ||||
−0.646637 | + | 0.762798i | \(0.723825\pi\) | |||||||
\(18\) | 2.98309 | − | 2.27427i | 0.703121 | − | 0.536051i | ||||
\(19\) | −2.55919 | − | 2.55919i | −0.587119 | − | 0.587119i | 0.349731 | − | 0.936850i | \(-0.386273\pi\) |
−0.936850 | + | 0.349731i | \(0.886273\pi\) | |||||||
\(20\) | −1.58315 | − | 2.78199i | −0.354002 | − | 0.622071i | ||||
\(21\) | 0.416854 | − | 0.416854i | 0.0909650 | − | 0.0909650i | ||||
\(22\) | 7.64518 | + | 1.03075i | 1.62996 | + | 0.219757i | ||||
\(23\) | − | 2.60484i | − | 0.543147i | −0.962418 | − | 0.271574i | \(-0.912456\pi\) | ||
0.962418 | − | 0.271574i | \(-0.0875441\pi\) | |||||||
\(24\) | −1.53446 | − | 0.652465i | −0.313220 | − | 0.133184i | ||||
\(25\) | 2.43855i | 0.487710i | ||||||||
\(26\) | −1.24612 | + | 9.24260i | −0.244385 | + | 1.81262i | ||||
\(27\) | 2.35625 | − | 2.35625i | 0.453461 | − | 0.453461i | ||||
\(28\) | 1.92859 | + | 0.529667i | 0.364469 | + | 0.100098i | ||||
\(29\) | −1.22279 | − | 1.22279i | −0.227067 | − | 0.227067i | 0.584399 | − | 0.811466i | \(-0.301330\pi\) |
−0.811466 | + | 0.584399i | \(0.801330\pi\) | |||||||
\(30\) | −0.808974 | − | 1.06111i | −0.147698 | − | 0.193731i | ||||
\(31\) | −0.833708 | −0.149738 | −0.0748692 | − | 0.997193i | \(-0.523854\pi\) | ||||
−0.0748692 | + | 0.997193i | \(0.523854\pi\) | |||||||
\(32\) | −0.650901 | − | 5.61928i | −0.115064 | − | 0.993358i | ||||
\(33\) | 3.21576 | 0.559792 | ||||||||
\(34\) | −4.57201 | − | 5.99696i | −0.784094 | − | 1.02847i | ||||
\(35\) | 1.13169 | + | 1.13169i | 0.191291 | + | 0.191291i | ||||
\(36\) | 5.11551 | + | 1.40492i | 0.852586 | + | 0.234154i | ||||
\(37\) | −4.42967 | + | 4.42967i | −0.728234 | + | 0.728234i | −0.970268 | − | 0.242034i | \(-0.922185\pi\) |
0.242034 | + | 0.970268i | \(0.422185\pi\) | |||||||
\(38\) | 0.683893 | − | 5.07249i | 0.110942 | − | 0.822867i | ||||
\(39\) | 3.88768i | 0.622526i | ||||||||
\(40\) | 1.77134 | − | 4.16581i | 0.280073 | − | 0.658672i | ||||
\(41\) | − | 0.263382i | − | 0.0411333i | −0.999788 | − | 0.0205667i | \(-0.993453\pi\) | ||
0.999788 | − | 0.0205667i | \(-0.00654703\pi\) | |||||||
\(42\) | 0.826233 | + | 0.111396i | 0.127490 | + | 0.0171888i | ||||
\(43\) | 1.25233 | − | 1.25233i | 0.190979 | − | 0.190979i | −0.605140 | − | 0.796119i | \(-0.706883\pi\) |
0.796119 | + | 0.605140i | \(0.206883\pi\) | |||||||
\(44\) | 5.39588 | + | 9.48193i | 0.813460 | + | 1.42945i | ||||
\(45\) | 3.00177 | + | 3.00177i | 0.447478 | + | 0.447478i | ||||
\(46\) | 2.92953 | − | 2.23344i | 0.431936 | − | 0.329303i | ||||
\(47\) | −10.7559 | −1.56891 | −0.784455 | − | 0.620186i | \(-0.787057\pi\) | ||||
−0.784455 | + | 0.620186i | \(0.787057\pi\) | |||||||
\(48\) | −0.581880 | − | 2.28516i | −0.0839872 | − | 0.329835i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −2.74251 | + | 2.09086i | −0.387850 | + | 0.295692i | ||||
\(51\) | −2.22279 | − | 2.22279i | −0.311253 | − | 0.311253i | ||||
\(52\) | −11.4631 | + | 6.52333i | −1.58965 | + | 0.904623i | ||||
\(53\) | 0.0476221 | − | 0.0476221i | 0.00654139 | − | 0.00654139i | −0.703829 | − | 0.710370i | \(-0.748528\pi\) |
0.710370 | + | 0.703829i | \(0.248528\pi\) | |||||||
\(54\) | 4.67025 | + | 0.629661i | 0.635541 | + | 0.0856861i | ||||
\(55\) | 8.73026i | 1.17719i | ||||||||
\(56\) | 1.05792 | + | 2.62313i | 0.141370 | + | 0.350530i | ||||
\(57\) | − | 2.13362i | − | 0.282605i | ||||||
\(58\) | 0.326766 | − | 2.42365i | 0.0429065 | − | 0.318241i | ||||
\(59\) | −3.60682 | + | 3.60682i | −0.469567 | + | 0.469567i | −0.901774 | − | 0.432207i | \(-0.857735\pi\) |
0.432207 | + | 0.901774i | \(0.357735\pi\) | |||||||
\(60\) | 0.499741 | − | 1.81962i | 0.0645163 | − | 0.234912i | ||||
\(61\) | 4.46399 | + | 4.46399i | 0.571556 | + | 0.571556i | 0.932563 | − | 0.361007i | \(-0.117567\pi\) |
−0.361007 | + | 0.932563i | \(0.617567\pi\) | |||||||
\(62\) | −0.714837 | − | 0.937629i | −0.0907844 | − | 0.119079i | ||||
\(63\) | −2.65247 | −0.334179 | ||||||||
\(64\) | 5.76162 | − | 5.55011i | 0.720203 | − | 0.693764i | ||||
\(65\) | −10.5544 | −1.30911 | ||||||||
\(66\) | 2.75725 | + | 3.61660i | 0.339394 | + | 0.445173i | ||||
\(67\) | 9.50964 | + | 9.50964i | 1.16179 | + | 1.16179i | 0.984084 | + | 0.177704i | \(0.0568668\pi\) |
0.177704 | + | 0.984084i | \(0.443133\pi\) | |||||||
\(68\) | 2.82435 | − | 10.2838i | 0.342502 | − | 1.24710i | ||||
\(69\) | 1.08584 | − | 1.08584i | 0.130720 | − | 0.130720i | ||||
\(70\) | −0.302422 | + | 2.24309i | −0.0361463 | + | 0.268100i | ||||
\(71\) | 2.05301i | 0.243647i | 0.992552 | + | 0.121824i | \(0.0388743\pi\) | ||||
−0.992552 | + | 0.121824i | \(0.961126\pi\) | |||||||
\(72\) | 2.80609 | + | 6.95776i | 0.330701 | + | 0.819980i | ||||
\(73\) | − | 5.48268i | − | 0.641700i | −0.947130 | − | 0.320850i | \(-0.896032\pi\) | ||
0.947130 | − | 0.320850i | \(-0.103968\pi\) | |||||||
\(74\) | −8.77991 | − | 1.18374i | −1.02064 | − | 0.137607i | ||||
\(75\) | −1.01652 | + | 1.01652i | −0.117378 | + | 0.117378i | ||||
\(76\) | 6.29115 | − | 3.58011i | 0.721645 | − | 0.410667i | ||||
\(77\) | −3.85718 | − | 3.85718i | −0.439566 | − | 0.439566i | ||||
\(78\) | −4.37227 | + | 3.33337i | −0.495062 | + | 0.377429i | ||||
\(79\) | 5.21576 | 0.586819 | 0.293409 | − | 0.955987i | \(-0.405210\pi\) | ||||
0.293409 | + | 0.955987i | \(0.405210\pi\) | |||||||
\(80\) | 6.20385 | − | 1.57971i | 0.693611 | − | 0.176617i | ||||
\(81\) | −5.99297 | −0.665885 | ||||||||
\(82\) | 0.296212 | − | 0.225828i | 0.0327111 | − | 0.0249386i | ||||
\(83\) | 5.84045 | + | 5.84045i | 0.641073 | + | 0.641073i | 0.950819 | − | 0.309746i | \(-0.100244\pi\) |
−0.309746 | + | 0.950819i | \(0.600244\pi\) | |||||||
\(84\) | 0.583146 | + | 1.02473i | 0.0636264 | + | 0.111808i | ||||
\(85\) | 6.03452 | − | 6.03452i | 0.654535 | − | 0.654535i | ||||
\(86\) | 2.48221 | + | 0.334661i | 0.267663 | + | 0.0360874i | ||||
\(87\) | − | 1.01945i | − | 0.109297i | ||||||
\(88\) | −6.03730 | + | 14.1984i | −0.643578 | + | 1.51356i | ||||
\(89\) | − | 6.32651i | − | 0.670609i | −0.942110 | − | 0.335304i | \(-0.891161\pi\) | ||
0.942110 | − | 0.335304i | \(-0.108839\pi\) | |||||||
\(90\) | −0.802163 | + | 5.94971i | −0.0845554 | + | 0.627154i | ||||
\(91\) | 4.66311 | − | 4.66311i | 0.488827 | − | 0.488827i | ||||
\(92\) | 5.02367 | + | 1.37970i | 0.523754 | + | 0.143844i | ||||
\(93\) | −0.347535 | − | 0.347535i | −0.0360377 | − | 0.0360377i | ||||
\(94\) | −9.22231 | − | 12.0966i | −0.951208 | − | 1.24767i | ||||
\(95\) | 5.79243 | 0.594291 | ||||||||
\(96\) | 2.07109 | − | 2.61375i | 0.211380 | − | 0.266765i | ||||
\(97\) | 18.8089 | 1.90976 | 0.954878 | − | 0.296999i | \(-0.0959858\pi\) | ||||
0.954878 | + | 0.296999i | \(0.0959858\pi\) | |||||||
\(98\) | −0.857418 | − | 1.12465i | −0.0866123 | − | 0.113607i | ||||
\(99\) | −10.2310 | − | 10.2310i | −1.02826 | − | 1.02826i | ||||
\(100\) | −4.70296 | − | 1.29162i | −0.470296 | − | 0.129162i | ||||
\(101\) | −2.88523 | + | 2.88523i | −0.287091 | + | 0.287091i | −0.835929 | − | 0.548838i | \(-0.815070\pi\) |
0.548838 | + | 0.835929i | \(0.315070\pi\) | |||||||
\(102\) | 0.593996 | − | 4.40572i | 0.0588144 | − | 0.436231i | ||||
\(103\) | − | 7.74040i | − | 0.762684i | −0.924434 | − | 0.381342i | \(-0.875462\pi\) | ||
0.924434 | − | 0.381342i | \(-0.124538\pi\) | |||||||
\(104\) | −17.1651 | − | 7.29876i | −1.68318 | − | 0.715703i | ||||
\(105\) | 0.943500i | 0.0920762i | ||||||||
\(106\) | 0.0943901 | + | 0.0127260i | 0.00916798 | + | 0.00123606i | ||||
\(107\) | −2.33447 | + | 2.33447i | −0.225682 | + | 0.225682i | −0.810886 | − | 0.585204i | \(-0.801014\pi\) |
0.585204 | + | 0.810886i | \(0.301014\pi\) | |||||||
\(108\) | 3.29621 | + | 5.79227i | 0.317178 | + | 0.557362i | ||||
\(109\) | −4.92827 | − | 4.92827i | −0.472042 | − | 0.472042i | 0.430533 | − | 0.902575i | \(-0.358326\pi\) |
−0.902575 | + | 0.430533i | \(0.858326\pi\) | |||||||
\(110\) | −9.81847 | + | 7.48549i | −0.936155 | + | 0.713713i | ||||
\(111\) | −3.69306 | −0.350529 | ||||||||
\(112\) | −2.04302 | + | 3.43890i | −0.193047 | + | 0.324946i | ||||
\(113\) | 5.24381 | 0.493296 | 0.246648 | − | 0.969105i | \(-0.420671\pi\) | ||||
0.246648 | + | 0.969105i | \(0.420671\pi\) | |||||||
\(114\) | 2.39957 | − | 1.82941i | 0.224741 | − | 0.171340i | ||||
\(115\) | 2.94788 | + | 2.94788i | 0.274891 | + | 0.274891i | ||||
\(116\) | 3.00593 | − | 1.71059i | 0.279094 | − | 0.158824i | ||||
\(117\) | 12.3687 | − | 12.3687i | 1.14349 | − | 1.14349i | ||||
\(118\) | −7.14895 | − | 0.963849i | −0.658114 | − | 0.0887295i | ||||
\(119\) | 5.33230i | 0.488811i | ||||||||
\(120\) | 2.47492 | − | 0.998145i | 0.225929 | − | 0.0911178i | ||||
\(121\) | − | 18.7556i | − | 1.70506i | ||||||
\(122\) | −1.19291 | + | 8.84793i | −0.108001 | + | 0.801054i | ||||
\(123\) | 0.109792 | − | 0.109792i | 0.00989959 | − | 0.00989959i | ||||
\(124\) | 0.441588 | − | 1.60788i | 0.0396558 | − | 0.144392i | ||||
\(125\) | −8.41814 | − | 8.41814i | −0.752941 | − | 0.752941i | ||||
\(126\) | −2.27427 | − | 2.98309i | −0.202608 | − | 0.265755i | ||||
\(127\) | −17.6789 | −1.56875 | −0.784373 | − | 0.620290i | \(-0.787015\pi\) | ||||
−0.784373 | + | 0.620290i | \(0.787015\pi\) | |||||||
\(128\) | 11.1820 | + | 1.72103i | 0.988362 | + | 0.152119i | ||||
\(129\) | 1.04408 | 0.0919262 | ||||||||
\(130\) | −9.04954 | − | 11.8700i | −0.793697 | − | 1.04107i | ||||
\(131\) | −2.17911 | − | 2.17911i | −0.190390 | − | 0.190390i | 0.605475 | − | 0.795865i | \(-0.292983\pi\) |
−0.795865 | + | 0.605475i | \(0.792983\pi\) | |||||||
\(132\) | −1.70328 | + | 6.20188i | −0.148252 | + | 0.539804i | ||||
\(133\) | −2.55919 | + | 2.55919i | −0.221910 | + | 0.221910i | ||||
\(134\) | −2.54126 | + | 18.8487i | −0.219531 | + | 1.62828i | ||||
\(135\) | 5.33310i | 0.459000i | ||||||||
\(136\) | 13.9873 | − | 5.64113i | 1.19940 | − | 0.483723i | ||||
\(137\) | 8.54650i | 0.730177i | 0.930973 | + | 0.365088i | \(0.118961\pi\) | ||||
−0.930973 | + | 0.365088i | \(0.881039\pi\) | |||||||
\(138\) | 2.15221 | + | 0.290169i | 0.183208 | + | 0.0247008i | ||||
\(139\) | −5.72549 | + | 5.72549i | −0.485629 | + | 0.485629i | −0.906924 | − | 0.421295i | \(-0.861576\pi\) |
0.421295 | + | 0.906924i | \(0.361576\pi\) | |||||||
\(140\) | −2.78199 | + | 1.58315i | −0.235121 | + | 0.133800i | ||||
\(141\) | −4.48364 | − | 4.48364i | −0.377591 | − | 0.377591i | ||||
\(142\) | −2.30891 | + | 1.76029i | −0.193760 | + | 0.147720i | ||||
\(143\) | 35.9729 | 3.00821 | ||||||||
\(144\) | −5.41904 | + | 9.12158i | −0.451587 | + | 0.760131i | ||||
\(145\) | 2.76764 | 0.229840 | ||||||||
\(146\) | 6.16609 | − | 4.70095i | 0.510309 | − | 0.389054i | ||||
\(147\) | −0.416854 | − | 0.416854i | −0.0343815 | − | 0.0343815i | ||||
\(148\) | −6.19676 | − | 10.8893i | −0.509371 | − | 0.895092i | ||||
\(149\) | 0.395157 | − | 0.395157i | 0.0323725 | − | 0.0323725i | −0.690735 | − | 0.723108i | \(-0.742713\pi\) |
0.723108 | + | 0.690735i | \(0.242713\pi\) | |||||||
\(150\) | −2.01481 | − | 0.271645i | −0.164509 | − | 0.0221797i | ||||
\(151\) | − | 3.71559i | − | 0.302371i | −0.988505 | − | 0.151185i | \(-0.951691\pi\) | ||
0.988505 | − | 0.151185i | \(-0.0483090\pi\) | |||||||
\(152\) | 9.42051 | + | 4.00568i | 0.764105 | + | 0.324904i | ||||
\(153\) | 14.1437i | 1.14345i | ||||||||
\(154\) | 1.03075 | − | 7.64518i | 0.0830604 | − | 0.616066i | ||||
\(155\) | 0.943500 | − | 0.943500i | 0.0757837 | − | 0.0757837i | ||||
\(156\) | −7.49773 | − | 2.05918i | −0.600299 | − | 0.164866i | ||||
\(157\) | 3.99542 | + | 3.99542i | 0.318869 | + | 0.318869i | 0.848333 | − | 0.529464i | \(-0.177607\pi\) |
−0.529464 | + | 0.848333i | \(0.677607\pi\) | |||||||
\(158\) | 4.47209 | + | 5.86590i | 0.355780 | + | 0.466666i | ||||
\(159\) | 0.0397029 | 0.00314864 | ||||||||
\(160\) | 7.09591 | + | 5.62267i | 0.560981 | + | 0.444511i | ||||
\(161\) | −2.60484 | −0.205290 | ||||||||
\(162\) | −5.13848 | − | 6.73998i | −0.403717 | − | 0.529543i | ||||
\(163\) | 3.37168 | + | 3.37168i | 0.264090 | + | 0.264090i | 0.826713 | − | 0.562623i | \(-0.190208\pi\) |
−0.562623 | + | 0.826713i | \(0.690208\pi\) | |||||||
\(164\) | 0.507955 | + | 0.139505i | 0.0396646 | + | 0.0108935i | ||||
\(165\) | −3.63925 | + | 3.63925i | −0.283315 | + | 0.283315i | ||||
\(166\) | −1.56074 | + | 11.5762i | −0.121137 | + | 0.898485i | ||||
\(167\) | − | 12.4233i | − | 0.961345i | −0.876900 | − | 0.480673i | \(-0.840393\pi\) | ||
0.876900 | − | 0.480673i | \(-0.159607\pi\) | |||||||
\(168\) | −0.652465 | + | 1.53446i | −0.0503388 | + | 0.118386i | ||||
\(169\) | 30.4893i | 2.34533i | ||||||||
\(170\) | 11.9608 | + | 1.61260i | 0.917353 | + | 0.123681i | ||||
\(171\) | −6.78817 | + | 6.78817i | −0.519105 | + | 0.519105i | ||||
\(172\) | 1.75191 | + | 3.07856i | 0.133582 | + | 0.234738i | ||||
\(173\) | 9.25908 | + | 9.25908i | 0.703955 | + | 0.703955i | 0.965257 | − | 0.261302i | \(-0.0841519\pi\) |
−0.261302 | + | 0.965257i | \(0.584152\pi\) | |||||||
\(174\) | 1.14652 | − | 0.874097i | 0.0869178 | − | 0.0662651i | ||||
\(175\) | 2.43855 | 0.184337 | ||||||||
\(176\) | −21.1448 | + | 5.38417i | −1.59385 | + | 0.405847i | ||||
\(177\) | −3.00703 | −0.226022 | ||||||||
\(178\) | 7.11510 | − | 5.42447i | 0.533299 | − | 0.406581i | ||||
\(179\) | −9.95523 | − | 9.95523i | −0.744088 | − | 0.744088i | 0.229274 | − | 0.973362i | \(-0.426365\pi\) |
−0.973362 | + | 0.229274i | \(0.926365\pi\) | |||||||
\(180\) | −7.37912 | + | 4.19924i | −0.550007 | + | 0.312993i | ||||
\(181\) | −5.08125 | + | 5.08125i | −0.377687 | + | 0.377687i | −0.870267 | − | 0.492580i | \(-0.836054\pi\) |
0.492580 | + | 0.870267i | \(0.336054\pi\) | |||||||
\(182\) | 9.24260 | + | 1.24612i | 0.685107 | + | 0.0923688i | ||||
\(183\) | 3.72167i | 0.275114i | ||||||||
\(184\) | 2.75571 | + | 6.83284i | 0.203154 | + | 0.503724i | ||||
\(185\) | − | 10.0260i | − | 0.737129i | ||||||
\(186\) | 0.0928717 | − | 0.688837i | 0.00680968 | − | 0.0505080i | ||||
\(187\) | −20.5676 | + | 20.5676i | −1.50405 | + | 1.50405i | ||||
\(188\) | 5.69705 | − | 20.7437i | 0.415500 | − | 1.51289i | ||||
\(189\) | −2.35625 | − | 2.35625i | −0.171392 | − | 0.171392i | ||||
\(190\) | 4.96654 | + | 6.51445i | 0.360311 | + | 0.472608i | ||||
\(191\) | 20.7927 | 1.50451 | 0.752254 | − | 0.658873i | \(-0.228967\pi\) | ||||
0.752254 | + | 0.658873i | \(0.228967\pi\) | |||||||
\(192\) | 4.71534 | + | 0.0881695i | 0.340300 | + | 0.00636309i | ||||
\(193\) | 13.3447 | 0.960574 | 0.480287 | − | 0.877111i | \(-0.340533\pi\) | ||||
0.480287 | + | 0.877111i | \(0.340533\pi\) | |||||||
\(194\) | 16.1271 | + | 21.1534i | 1.15786 | + | 1.51873i | ||||
\(195\) | −4.39965 | − | 4.39965i | −0.315065 | − | 0.315065i | ||||
\(196\) | 0.529667 | − | 1.92859i | 0.0378334 | − | 0.137756i | ||||
\(197\) | 0.194462 | − | 0.194462i | 0.0138549 | − | 0.0138549i | −0.700145 | − | 0.714000i | \(-0.746882\pi\) |
0.714000 | + | 0.700145i | \(0.246882\pi\) | |||||||
\(198\) | 2.73404 | − | 20.2786i | 0.194299 | − | 1.44114i | ||||
\(199\) | − | 14.4003i | − | 1.02081i | −0.859935 | − | 0.510403i | \(-0.829496\pi\) | ||
0.859935 | − | 0.510403i | \(-0.170504\pi\) | |||||||
\(200\) | −2.57979 | − | 6.39664i | −0.182418 | − | 0.452311i | ||||
\(201\) | 7.92827i | 0.559217i | ||||||||
\(202\) | −5.71872 | − | 0.771019i | −0.402367 | − | 0.0542487i | ||||
\(203\) | −1.22279 | + | 1.22279i | −0.0858232 | + | 0.0858232i | ||||
\(204\) | 5.46419 | − | 3.10951i | 0.382570 | − | 0.217709i | ||||
\(205\) | 0.298067 | + | 0.298067i | 0.0208179 | + | 0.0208179i | ||||
\(206\) | 8.70522 | − | 6.63676i | 0.606522 | − | 0.462405i | ||||
\(207\) | −6.90926 | −0.480227 | ||||||||
\(208\) | −6.50917 | − | 25.5628i | −0.451330 | − | 1.77246i | ||||
\(209\) | −19.7425 | −1.36562 | ||||||||
\(210\) | −1.06111 | + | 0.808974i | −0.0732232 | + | 0.0558245i | ||||
\(211\) | 7.72356 | + | 7.72356i | 0.531711 | + | 0.531711i | 0.921081 | − | 0.389370i | \(-0.127307\pi\) |
−0.389370 | + | 0.921081i | \(0.627307\pi\) | |||||||
\(212\) | 0.0666195 | + | 0.117067i | 0.00457544 | + | 0.00804021i | ||||
\(213\) | −0.855805 | + | 0.855805i | −0.0586388 | + | 0.0586388i | ||||
\(214\) | −4.62708 | − | 0.623841i | −0.316301 | − | 0.0426449i | ||||
\(215\) | 2.83451i | 0.193312i | ||||||||
\(216\) | −3.68804 | + | 8.67348i | −0.250939 | + | 0.590156i | ||||
\(217\) | 0.833708i | 0.0565958i | ||||||||
\(218\) | 1.31698 | − | 9.76815i | 0.0891971 | − | 0.661583i | ||||
\(219\) | 2.28548 | − | 2.28548i | 0.154438 | − | 0.154438i | ||||
\(220\) | −16.8371 | − | 4.62414i | −1.13516 | − | 0.311759i | ||||
\(221\) | −24.8651 | − | 24.8651i | −1.67261 | − | 1.67261i | ||||
\(222\) | −3.16649 | − | 4.15339i | −0.212521 | − | 0.278757i | ||||
\(223\) | −7.06285 | −0.472963 | −0.236482 | − | 0.971636i | \(-0.575994\pi\) | ||||
−0.236482 | + | 0.971636i | \(0.575994\pi\) | |||||||
\(224\) | −5.61928 | + | 0.650901i | −0.375454 | + | 0.0434901i | ||||
\(225\) | 6.46817 | 0.431212 | ||||||||
\(226\) | 4.49614 | + | 5.89744i | 0.299079 | + | 0.392292i | ||||
\(227\) | −11.8229 | − | 11.8229i | −0.784711 | − | 0.784711i | 0.195911 | − | 0.980622i | \(-0.437234\pi\) |
−0.980622 | + | 0.195911i | \(0.937234\pi\) | |||||||
\(228\) | 4.11488 | + | 1.13011i | 0.272514 | + | 0.0748433i | ||||
\(229\) | −9.37815 | + | 9.37815i | −0.619726 | + | 0.619726i | −0.945461 | − | 0.325735i | \(-0.894388\pi\) |
0.325735 | + | 0.945461i | \(0.394388\pi\) | |||||||
\(230\) | −0.787761 | + | 5.84289i | −0.0519434 | + | 0.385269i | ||||
\(231\) | − | 3.21576i | − | 0.211581i | ||||||
\(232\) | 4.50115 | + | 1.91393i | 0.295515 | + | 0.125656i | ||||
\(233\) | 24.4385i | 1.60102i | 0.599318 | + | 0.800511i | \(0.295439\pi\) | ||||
−0.599318 | + | 0.800511i | \(0.704561\pi\) | |||||||
\(234\) | 24.5157 | + | 3.30530i | 1.60264 | + | 0.216074i | ||||
\(235\) | 12.1724 | − | 12.1724i | 0.794037 | − | 0.794037i | ||||
\(236\) | −5.04565 | − | 8.86648i | −0.328444 | − | 0.577158i | ||||
\(237\) | 2.17421 | + | 2.17421i | 0.141230 | + | 0.141230i | ||||
\(238\) | −5.99696 | + | 4.57201i | −0.388725 | + | 0.296360i | ||||
\(239\) | −6.27660 | −0.406000 | −0.203000 | − | 0.979179i | \(-0.565069\pi\) | ||||
−0.203000 | + | 0.979179i | \(0.565069\pi\) | |||||||
\(240\) | 3.24461 | + | 1.92759i | 0.209438 | + | 0.124425i | ||||
\(241\) | −15.0124 | −0.967034 | −0.483517 | − | 0.875335i | \(-0.660641\pi\) | ||||
−0.483517 | + | 0.875335i | \(0.660641\pi\) | |||||||
\(242\) | 21.0935 | − | 16.0814i | 1.35594 | − | 1.03375i | ||||
\(243\) | −9.56695 | − | 9.56695i | −0.613720 | − | 0.613720i | ||||
\(244\) | −10.9736 | + | 6.24477i | −0.702515 | + | 0.399781i | ||||
\(245\) | 1.13169 | − | 1.13169i | 0.0723011 | − | 0.0723011i | ||||
\(246\) | 0.217615 | + | 0.0293396i | 0.0138746 | + | 0.00187063i | ||||
\(247\) | − | 23.8676i | − | 1.51866i | ||||||
\(248\) | 2.18693 | − | 0.881994i | 0.138870 | − | 0.0560067i | ||||
\(249\) | 4.86923i | 0.308575i | ||||||||
\(250\) | 2.24958 | − | 16.6853i | 0.142276 | − | 1.05527i | ||||
\(251\) | 11.7926 | − | 11.7926i | 0.744339 | − | 0.744339i | −0.229071 | − | 0.973410i | \(-0.573569\pi\) |
0.973410 | + | 0.229071i | \(0.0735687\pi\) | |||||||
\(252\) | 1.40492 | − | 5.11551i | 0.0885019 | − | 0.322247i | ||||
\(253\) | −10.0473 | − | 10.0473i | −0.631671 | − | 0.631671i | ||||
\(254\) | −15.1582 | − | 19.8825i | −0.951109 | − | 1.24754i | ||||
\(255\) | 5.03103 | 0.315055 | ||||||||
\(256\) | 7.65213 | + | 14.0515i | 0.478258 | + | 0.878219i | ||||
\(257\) | 20.3977 | 1.27237 | 0.636186 | − | 0.771536i | \(-0.280511\pi\) | ||||
0.636186 | + | 0.771536i | \(0.280511\pi\) | |||||||
\(258\) | 0.895214 | + | 1.17422i | 0.0557336 | + | 0.0731039i | ||||
\(259\) | 4.42967 | + | 4.42967i | 0.275247 | + | 0.275247i | ||||
\(260\) | 5.59033 | − | 20.3551i | 0.346697 | − | 1.26237i | ||||
\(261\) | −3.24341 | + | 3.24341i | −0.200762 | + | 0.200762i | ||||
\(262\) | 0.582324 | − | 4.31914i | 0.0359761 | − | 0.266838i | ||||
\(263\) | 23.3452i | 1.43953i | 0.694219 | + | 0.719764i | \(0.255750\pi\) | ||||
−0.694219 | + | 0.719764i | \(0.744250\pi\) | |||||||
\(264\) | −8.43536 | + | 3.40201i | −0.519160 | + | 0.209379i | ||||
\(265\) | 0.107787i | 0.00662130i | ||||||||
\(266\) | −5.07249 | − | 0.683893i | −0.311014 | − | 0.0419322i | ||||
\(267\) | 2.63723 | − | 2.63723i | 0.161396 | − | 0.161396i | ||||
\(268\) | −23.3771 | + | 13.3032i | −1.42799 | + | 0.812624i | ||||
\(269\) | 22.0705 | + | 22.0705i | 1.34566 | + | 1.34566i | 0.890312 | + | 0.455352i | \(0.150487\pi\) |
0.455352 | + | 0.890312i | \(0.349513\pi\) | |||||||
\(270\) | −5.99786 | + | 4.57270i | −0.365018 | + | 0.278286i | ||||
\(271\) | 1.46392 | 0.0889266 | 0.0444633 | − | 0.999011i | \(-0.485842\pi\) | ||||
0.0444633 | + | 0.999011i | \(0.485842\pi\) | |||||||
\(272\) | 18.3373 | + | 10.8940i | 1.11186 | + | 0.660546i | ||||
\(273\) | 3.88768 | 0.235293 | ||||||||
\(274\) | −9.61180 | + | 7.32792i | −0.580670 | + | 0.442696i | ||||
\(275\) | 9.40592 | + | 9.40592i | 0.567199 | + | 0.567199i | ||||
\(276\) | 1.51900 | + | 2.66927i | 0.0914333 | + | 0.160671i | ||||
\(277\) | −1.39234 | + | 1.39234i | −0.0836578 | + | 0.0836578i | −0.747697 | − | 0.664040i | \(-0.768841\pi\) |
0.664040 | + | 0.747697i | \(0.268841\pi\) | |||||||
\(278\) | −11.3483 | − | 1.53002i | −0.680625 | − | 0.0917645i | ||||
\(279\) | 2.21138i | 0.132392i | ||||||||
\(280\) | −4.16581 | − | 1.77134i | −0.248955 | − | 0.105858i | ||||
\(281\) | − | 5.66742i | − | 0.338090i | −0.985608 | − | 0.169045i | \(-0.945932\pi\) | ||
0.985608 | − | 0.169045i | \(-0.0540683\pi\) | |||||||
\(282\) | 1.19816 | − | 8.88688i | 0.0713496 | − | 0.529206i | ||||
\(283\) | −16.6615 | + | 16.6615i | −0.990424 | + | 0.990424i | −0.999955 | − | 0.00953050i | \(-0.996966\pi\) |
0.00953050 | + | 0.999955i | \(0.496966\pi\) | |||||||
\(284\) | −3.95941 | − | 1.08741i | −0.234948 | − | 0.0645260i | ||||
\(285\) | 2.41460 | + | 2.41460i | 0.143029 | + | 0.143029i | ||||
\(286\) | 30.8438 | + | 40.4569i | 1.82383 | + | 2.39226i | ||||
\(287\) | −0.263382 | −0.0155469 | ||||||||
\(288\) | −14.9050 | + | 1.72649i | −0.878283 | + | 0.101734i | ||||
\(289\) | 11.4334 | 0.672555 | ||||||||
\(290\) | 2.37303 | + | 3.11263i | 0.139349 | + | 0.182780i | ||||
\(291\) | 7.84057 | + | 7.84057i | 0.459622 | + | 0.459622i | ||||
\(292\) | 10.5738 | + | 2.90400i | 0.618787 | + | 0.169944i | ||||
\(293\) | 17.1121 | − | 17.1121i | 0.999698 | − | 0.999698i | −0.000302098 | − | 1.00000i | \(-0.500096\pi\) |
1.00000 | 0.000302098i | \(9.61608e-5\pi\) | ||||||||
\(294\) | 0.111396 | − | 0.826233i | 0.00649674 | − | 0.0481869i | ||||
\(295\) | − | 8.16360i | − | 0.475303i | ||||||
\(296\) | 6.93338 | − | 16.3058i | 0.402995 | − | 0.947758i | ||||
\(297\) | − | 18.1770i | − | 1.05473i | ||||||
\(298\) | 0.783227 | + | 0.105598i | 0.0453711 | + | 0.00611711i | ||||
\(299\) | 12.1467 | − | 12.1467i | 0.702461 | − | 0.702461i | ||||
\(300\) | −1.42203 | − | 2.49887i | −0.0821010 | − | 0.144272i | ||||
\(301\) | −1.25233 | − | 1.25233i | −0.0721833 | − | 0.0721833i | ||||
\(302\) | 4.17874 | − | 3.18582i | 0.240459 | − | 0.183323i | ||||
\(303\) | −2.40544 | −0.138189 | ||||||||
\(304\) | 3.57234 | + | 14.0293i | 0.204888 | + | 0.804636i | ||||
\(305\) | −10.1037 | −0.578537 | ||||||||
\(306\) | −15.9067 | + | 12.1271i | −0.909328 | + | 0.693261i | ||||
\(307\) | −9.59837 | − | 9.59837i | −0.547808 | − | 0.547808i | 0.377998 | − | 0.925806i | \(-0.376612\pi\) |
−0.925806 | + | 0.377998i | \(0.876612\pi\) | |||||||
\(308\) | 9.48193 | − | 5.39588i | 0.540283 | − | 0.307459i | ||||
\(309\) | 3.22662 | − | 3.22662i | 0.183556 | − | 0.183556i | ||||
\(310\) | 1.87008 | + | 0.252131i | 0.106213 | + | 0.0143201i | ||||
\(311\) | − | 19.1866i | − | 1.08797i | −0.839094 | − | 0.543987i | \(-0.816914\pi\) | ||
0.839094 | − | 0.543987i | \(-0.183086\pi\) | |||||||
\(312\) | −4.11284 | − | 10.1979i | −0.232844 | − | 0.577341i | ||||
\(313\) | − | 5.03963i | − | 0.284857i | −0.989805 | − | 0.142428i | \(-0.954509\pi\) | ||
0.989805 | − | 0.142428i | \(-0.0454911\pi\) | |||||||
\(314\) | −1.06769 | + | 7.91918i | −0.0602535 | + | 0.446905i | ||||
\(315\) | 3.00177 | − | 3.00177i | 0.169131 | − | 0.169131i | ||||
\(316\) | −2.76262 | + | 10.0591i | −0.155409 | + | 0.565866i | ||||
\(317\) | 5.52596 | + | 5.52596i | 0.310369 | + | 0.310369i | 0.845052 | − | 0.534683i | \(-0.179569\pi\) |
−0.534683 | + | 0.845052i | \(0.679569\pi\) | |||||||
\(318\) | 0.0340420 | + | 0.0446518i | 0.00190898 | + | 0.00250395i | ||||
\(319\) | −9.43305 | −0.528149 | ||||||||
\(320\) | −0.239366 | + | 12.8014i | −0.0133810 | + | 0.715619i | ||||
\(321\) | −1.94627 | −0.108630 | ||||||||
\(322\) | −2.23344 | − | 2.92953i | −0.124465 | − | 0.163256i | ||||
\(323\) | 13.6464 | + | 13.6464i | 0.759306 | + | 0.759306i | ||||
\(324\) | 3.17428 | − | 11.5580i | 0.176349 | − | 0.642109i | ||||
\(325\) | −11.3712 | + | 11.3712i | −0.630763 | + | 0.630763i | ||||
\(326\) | −0.901013 | + | 6.68289i | −0.0499025 | + | 0.370131i | ||||
\(327\) | − | 4.10874i | − | 0.227214i | ||||||
\(328\) | 0.278636 | + | 0.690885i | 0.0153851 | + | 0.0381477i | ||||
\(329\) | 10.7559i | 0.592992i | ||||||||
\(330\) | −7.21323 | − | 0.972515i | −0.397075 | − | 0.0535352i | ||||
\(331\) | −14.7514 | + | 14.7514i | −0.810813 | + | 0.810813i | −0.984756 | − | 0.173943i | \(-0.944349\pi\) |
0.173943 | + | 0.984756i | \(0.444349\pi\) | |||||||
\(332\) | −14.3573 | + | 8.17033i | −0.787961 | + | 0.448405i | ||||
\(333\) | 11.7496 | + | 11.7496i | 0.643872 | + | 0.643872i | ||||
\(334\) | 13.9719 | − | 10.6520i | 0.764506 | − | 0.582850i | ||||
\(335\) | −21.5239 | −1.17598 | ||||||||
\(336\) | −2.28516 | + | 0.581880i | −0.124666 | + | 0.0317442i | ||||
\(337\) | 16.7111 | 0.910311 | 0.455156 | − | 0.890412i | \(-0.349584\pi\) | ||||
0.455156 | + | 0.890412i | \(0.349584\pi\) | |||||||
\(338\) | −34.2897 | + | 26.1421i | −1.86511 | + | 1.42194i | ||||
\(339\) | 2.18590 | + | 2.18590i | 0.118722 | + | 0.118722i | ||||
\(340\) | 8.44181 | + | 14.8344i | 0.457821 | + | 0.804507i | ||||
\(341\) | −3.21576 | + | 3.21576i | −0.174143 | + | 0.174143i | ||||
\(342\) | −13.4546 | − | 1.81400i | −0.727542 | − | 0.0980900i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −1.96017 | + | 4.60990i | −0.105685 | + | 0.248549i | ||||
\(345\) | 2.45767i | 0.132316i | ||||||||
\(346\) | −2.47430 | + | 18.3521i | −0.133019 | + | 0.986616i | ||||
\(347\) | 5.57925 | − | 5.57925i | 0.299510 | − | 0.299510i | −0.541312 | − | 0.840822i | \(-0.682072\pi\) |
0.840822 | + | 0.541312i | \(0.182072\pi\) | |||||||
\(348\) | 1.96610 | + | 0.539970i | 0.105394 | + | 0.0289454i | ||||
\(349\) | −17.9789 | − | 17.9789i | −0.962388 | − | 0.962388i | 0.0369299 | − | 0.999318i | \(-0.488242\pi\) |
−0.999318 | + | 0.0369299i | \(0.988242\pi\) | |||||||
\(350\) | 2.09086 | + | 2.74251i | 0.111761 | + | 0.146593i | ||||
\(351\) | 21.9750 | 1.17294 | ||||||||
\(352\) | −24.1852 | − | 19.1639i | −1.28908 | − | 1.02144i | ||||
\(353\) | −25.0318 | −1.33231 | −0.666155 | − | 0.745814i | \(-0.732061\pi\) | ||||
−0.666155 | + | 0.745814i | \(0.732061\pi\) | |||||||
\(354\) | −2.57828 | − | 3.38185i | −0.137034 | − | 0.179743i | ||||
\(355\) | −2.32337 | − | 2.32337i | −0.123312 | − | 0.123312i | ||||
\(356\) | 12.2012 | + | 3.35095i | 0.646664 | + | 0.177600i | ||||
\(357\) | −2.22279 | + | 2.22279i | −0.117643 | + | 0.117643i | ||||
\(358\) | 2.66033 | − | 19.7319i | 0.140603 | − | 1.04286i | ||||
\(359\) | 17.9910i | 0.949526i | 0.880114 | + | 0.474763i | \(0.157466\pi\) | ||||
−0.880114 | + | 0.474763i | \(0.842534\pi\) | |||||||
\(360\) | −11.0497 | − | 4.69841i | −0.582368 | − | 0.247628i | ||||
\(361\) | − | 5.90105i | − | 0.310582i | ||||||
\(362\) | −10.0714 | − | 1.35786i | −0.529340 | − | 0.0713677i | ||||
\(363\) | 7.81836 | − | 7.81836i | 0.410357 | − | 0.410357i | ||||
\(364\) | 6.52333 | + | 11.4631i | 0.341915 | + | 0.600831i | ||||
\(365\) | 6.20470 | + | 6.20470i | 0.324769 | + | 0.324769i | ||||
\(366\) | −4.18557 | + | 3.19103i | −0.218783 | + | 0.166798i | ||||
\(367\) | 10.3077 | 0.538060 | 0.269030 | − | 0.963132i | \(-0.413297\pi\) | ||||
0.269030 | + | 0.963132i | \(0.413297\pi\) | |||||||
\(368\) | −5.32175 | + | 8.95781i | −0.277415 | + | 0.466958i | ||||
\(369\) | −0.698611 | −0.0363682 | ||||||||
\(370\) | 11.2758 | − | 8.59651i | 0.586199 | − | 0.446911i | ||||
\(371\) | −0.0476221 | − | 0.0476221i | −0.00247241 | − | 0.00247241i | ||||
\(372\) | 0.854329 | − | 0.486174i | 0.0442949 | − | 0.0252069i | ||||
\(373\) | 16.0555 | − | 16.0555i | 0.831324 | − | 0.831324i | −0.156374 | − | 0.987698i | \(-0.549981\pi\) |
0.987698 | + | 0.156374i | \(0.0499805\pi\) | |||||||
\(374\) | −40.7664 | − | 5.49628i | −2.10798 | − | 0.284206i | ||||
\(375\) | − | 7.01827i | − | 0.362422i | ||||||
\(376\) | 28.2141 | − | 11.3789i | 1.45503 | − | 0.586820i | ||||
\(377\) | − | 11.4040i | − | 0.587338i | ||||||
\(378\) | 0.629661 | − | 4.67025i | 0.0323863 | − | 0.240212i | ||||
\(379\) | 15.7922 | − | 15.7922i | 0.811190 | − | 0.811190i | −0.173622 | − | 0.984812i | \(-0.555547\pi\) |
0.984812 | + | 0.173622i | \(0.0555471\pi\) | |||||||
\(380\) | −3.06806 | + | 11.1712i | −0.157388 | + | 0.573071i | ||||
\(381\) | −7.36951 | − | 7.36951i | −0.377551 | − | 0.377551i | ||||
\(382\) | 17.8281 | + | 23.3845i | 0.912163 | + | 1.19645i | ||||
\(383\) | 18.3633 | 0.938319 | 0.469160 | − | 0.883113i | \(-0.344557\pi\) | ||||
0.469160 | + | 0.883113i | \(0.344557\pi\) | |||||||
\(384\) | 3.94386 | + | 5.37870i | 0.201259 | + | 0.274481i | ||||
\(385\) | 8.73026 | 0.444935 | ||||||||
\(386\) | 11.4420 | + | 15.0081i | 0.582383 | + | 0.763893i | ||||
\(387\) | −3.32177 | − | 3.32177i | −0.168855 | − | 0.168855i | ||||
\(388\) | −9.96247 | + | 36.2746i | −0.505768 | + | 1.84157i | ||||
\(389\) | 13.9554 | − | 13.9554i | 0.707565 | − | 0.707565i | −0.258458 | − | 0.966023i | \(-0.583214\pi\) |
0.966023 | + | 0.258458i | \(0.0832143\pi\) | |||||||
\(390\) | 1.17572 | − | 8.72040i | 0.0595348 | − | 0.441574i | ||||
\(391\) | 13.8898i | 0.702438i | ||||||||
\(392\) | 2.62313 | − | 1.05792i | 0.132488 | − | 0.0534329i | ||||
\(393\) | − | 1.81674i | − | 0.0916426i | ||||||
\(394\) | 0.385437 | + | 0.0519661i | 0.0194180 | + | 0.00261802i | ||||
\(395\) | −5.90263 | + | 5.90263i | −0.296993 | + | 0.296993i | ||||
\(396\) | 25.1505 | − | 14.3124i | 1.26386 | − | 0.719225i | ||||
\(397\) | −1.12815 | − | 1.12815i | −0.0566202 | − | 0.0566202i | 0.678230 | − | 0.734850i | \(-0.262747\pi\) |
−0.734850 | + | 0.678230i | \(0.762747\pi\) | |||||||
\(398\) | 16.1952 | − | 12.3470i | 0.811793 | − | 0.618901i | ||||
\(399\) | −2.13362 | −0.106815 | ||||||||
\(400\) | 4.98201 | − | 8.38595i | 0.249101 | − | 0.419297i | ||||
\(401\) | −14.3470 | −0.716454 | −0.358227 | − | 0.933635i | \(-0.616619\pi\) | ||||
−0.358227 | + | 0.933635i | \(0.616619\pi\) | |||||||
\(402\) | −8.91651 | + | 6.79784i | −0.444715 | + | 0.339046i | ||||
\(403\) | −3.88768 | − | 3.88768i | −0.193659 | − | 0.193659i | ||||
\(404\) | −4.03621 | − | 7.09263i | −0.200809 | − | 0.352872i | ||||
\(405\) | 6.78219 | − | 6.78219i | 0.337010 | − | 0.337010i | ||||
\(406\) | −2.42365 | − | 0.326766i | −0.120284 | − | 0.0162171i | ||||
\(407\) | 34.1721i | 1.69385i | ||||||||
\(408\) | 8.18220 | + | 3.47914i | 0.405079 | + | 0.172243i | ||||
\(409\) | − | 39.2518i | − | 1.94088i | −0.241350 | − | 0.970438i | \(-0.577590\pi\) | ||
0.241350 | − | 0.970438i | \(-0.422410\pi\) | |||||||
\(410\) | −0.0796523 | + | 0.590788i | −0.00393375 | + | 0.0291769i | ||||
\(411\) | −3.56264 | + | 3.56264i | −0.175732 | + | 0.175732i | ||||
\(412\) | 14.9280 | + | 4.09984i | 0.735451 | + | 0.201984i | ||||
\(413\) | 3.60682 | + | 3.60682i | 0.177480 | + | 0.177480i | ||||
\(414\) | −5.92412 | − | 7.77048i | −0.291155 | − | 0.381898i | ||||
\(415\) | −13.2192 | −0.648904 | ||||||||
\(416\) | 23.1681 | − | 29.2386i | 1.13591 | − | 1.43354i | ||||
\(417\) | −4.77338 | −0.233754 | ||||||||
\(418\) | −16.9276 | − | 22.2034i | −0.827956 | − | 1.08600i | ||||
\(419\) | −4.41473 | − | 4.41473i | −0.215673 | − | 0.215673i | 0.590999 | − | 0.806672i | \(-0.298734\pi\) |
−0.806672 | + | 0.590999i | \(0.798734\pi\) | |||||||
\(420\) | −1.81962 | − | 0.499741i | −0.0887885 | − | 0.0243849i | ||||
\(421\) | −7.57494 | + | 7.57494i | −0.369180 | + | 0.369180i | −0.867178 | − | 0.497998i | \(-0.834069\pi\) |
0.497998 | + | 0.867178i | \(0.334069\pi\) | |||||||
\(422\) | −2.06396 | + | 15.3086i | −0.100472 | + | 0.745211i | ||||
\(423\) | 28.5297i | 1.38716i | ||||||||
\(424\) | −0.0745386 | + | 0.175299i | −0.00361992 | + | 0.00851327i | ||||
\(425\) | − | 13.0031i | − | 0.630743i | ||||||
\(426\) | −1.69626 | − | 0.228697i | −0.0821842 | − | 0.0110804i | ||||
\(427\) | 4.46399 | − | 4.46399i | 0.216028 | − | 0.216028i | ||||
\(428\) | −3.26574 | − | 5.73873i | −0.157856 | − | 0.277392i | ||||
\(429\) | 14.9955 | + | 14.9955i | 0.723987 | + | 0.723987i | ||||
\(430\) | −3.18782 | + | 2.43036i | −0.153731 | + | 0.117202i | ||||
\(431\) | −18.5396 | −0.893020 | −0.446510 | − | 0.894779i | \(-0.647333\pi\) | ||||
−0.446510 | + | 0.894779i | \(0.647333\pi\) | |||||||
\(432\) | −12.9168 | + | 3.28906i | −0.621460 | + | 0.158245i | ||||
\(433\) | 7.21190 | 0.346582 | 0.173291 | − | 0.984871i | \(-0.444560\pi\) | ||||
0.173291 | + | 0.984871i | \(0.444560\pi\) | |||||||
\(434\) | −0.937629 | + | 0.714837i | −0.0450076 | + | 0.0343133i | ||||
\(435\) | 1.15370 | + | 1.15370i | 0.0553159 | + | 0.0553159i | ||||
\(436\) | 12.1149 | − | 6.89425i | 0.580200 | − | 0.330175i | ||||
\(437\) | −6.66630 | + | 6.66630i | −0.318892 | + | 0.318892i | ||||
\(438\) | 4.52997 | + | 0.610748i | 0.216450 | + | 0.0291827i | ||||
\(439\) | 15.1615i | 0.723617i | 0.932252 | + | 0.361809i | \(0.117841\pi\) | ||||
−0.932252 | + | 0.361809i | \(0.882159\pi\) | |||||||
\(440\) | −9.23590 | − | 22.9006i | −0.440304 | − | 1.09174i | ||||
\(441\) | 2.65247i | 0.126308i | ||||||||
\(442\) | 6.64471 | − | 49.2843i | 0.316056 | − | 2.34422i | ||||
\(443\) | −2.11746 | + | 2.11746i | −0.100603 | + | 0.100603i | −0.755617 | − | 0.655014i | \(-0.772663\pi\) |
0.655014 | + | 0.755617i | \(0.272663\pi\) | |||||||
\(444\) | 1.95609 | − | 7.12238i | 0.0928320 | − | 0.338013i | ||||
\(445\) | 7.15965 | + | 7.15965i | 0.339400 | + | 0.339400i | ||||
\(446\) | −6.05581 | − | 7.94322i | −0.286751 | − | 0.376122i | ||||
\(447\) | 0.329445 | 0.0155822 | ||||||||
\(448\) | −5.55011 | − | 5.76162i | −0.262218 | − | 0.272211i | ||||
\(449\) | 4.29509 | 0.202698 | 0.101349 | − | 0.994851i | \(-0.467684\pi\) | ||||
0.101349 | + | 0.994851i | \(0.467684\pi\) | |||||||
\(450\) | 5.54593 | + | 7.27442i | 0.261438 | + | 0.342919i | ||||
\(451\) | −1.01591 | − | 1.01591i | −0.0478373 | − | 0.0478373i | ||||
\(452\) | −2.77747 | + | 10.1131i | −0.130641 | + | 0.475682i | ||||
\(453\) | 1.54886 | − | 1.54886i | 0.0727718 | − | 0.0727718i | ||||
\(454\) | 3.15942 | − | 23.4337i | 0.148279 | − | 1.09980i | ||||
\(455\) | 10.5544i | 0.494798i | ||||||||
\(456\) | 2.25719 | + | 5.59676i | 0.105703 | + | 0.262093i | ||||
\(457\) | − | 27.7833i | − | 1.29965i | −0.760085 | − | 0.649823i | \(-0.774843\pi\) | ||
0.760085 | − | 0.649823i | \(-0.225157\pi\) | |||||||
\(458\) | −18.5881 | − | 2.50612i | −0.868566 | − | 0.117103i | ||||
\(459\) | −12.5643 | + | 12.5643i | −0.586449 | + | 0.586449i | ||||
\(460\) | −7.24664 | + | 4.12385i | −0.337876 | + | 0.192275i | ||||
\(461\) | −6.50912 | − | 6.50912i | −0.303160 | − | 0.303160i | 0.539089 | − | 0.842249i | \(-0.318769\pi\) |
−0.842249 | + | 0.539089i | \(0.818769\pi\) | |||||||
\(462\) | 3.61660 | − | 2.75725i | 0.168259 | − | 0.128279i | ||||
\(463\) | −39.1018 | −1.81722 | −0.908608 | − | 0.417650i | \(-0.862854\pi\) | ||||
−0.908608 | + | 0.417650i | \(0.862854\pi\) | |||||||
\(464\) | 1.70688 | + | 6.70325i | 0.0792397 | + | 0.311191i | ||||
\(465\) | 0.786604 | 0.0364779 | ||||||||
\(466\) | −27.4848 | + | 20.9541i | −1.27321 | + | 0.970678i | ||||
\(467\) | 16.4618 | + | 16.4618i | 0.761762 | + | 0.761762i | 0.976641 | − | 0.214879i | \(-0.0689356\pi\) |
−0.214879 | + | 0.976641i | \(0.568936\pi\) | |||||||
\(468\) | 17.3029 | + | 30.4055i | 0.799827 | + | 1.40550i | ||||
\(469\) | 9.50964 | − | 9.50964i | 0.439114 | − | 0.439114i | ||||
\(470\) | 24.1264 | + | 3.25282i | 1.11287 | + | 0.150041i | ||||
\(471\) | 3.33101i | 0.153485i | ||||||||
\(472\) | 5.64543 | − | 13.2769i | 0.259852 | − | 0.611117i | ||||
\(473\) | − | 9.66094i | − | 0.444210i | ||||||
\(474\) | −0.581014 | + | 4.30943i | −0.0266869 | + | 0.197939i | ||||
\(475\) | 6.24073 | − | 6.24073i | 0.286344 | − | 0.286344i | ||||
\(476\) | −10.2838 | − | 2.82435i | −0.471358 | − | 0.129454i | ||||
\(477\) | −0.126316 | − | 0.126316i | −0.00578361 | − | 0.00578361i | ||||
\(478\) | −5.38167 | − | 7.05897i | −0.246152 | − | 0.322870i | ||||
\(479\) | −37.2565 | −1.70229 | −0.851145 | − | 0.524930i | \(-0.824092\pi\) | ||||
−0.851145 | + | 0.524930i | \(0.824092\pi\) | |||||||
\(480\) | 0.614125 | + | 5.30179i | 0.0280308 | + | 0.241993i | ||||
\(481\) | −41.3121 | −1.88367 | ||||||||
\(482\) | −12.8719 | − | 16.8837i | −0.586300 | − | 0.769031i | ||||
\(483\) | −1.08584 | − | 1.08584i | −0.0494074 | − | 0.0494074i | ||||
\(484\) | 36.1719 | + | 9.93424i | 1.64418 | + | 0.451556i | ||||
\(485\) | −21.2859 | + | 21.2859i | −0.966542 | + | 0.966542i | ||||
\(486\) | 2.55658 | − | 18.9623i | 0.115969 | − | 0.860149i | ||||
\(487\) | − | 38.4219i | − | 1.74106i | −0.492113 | − | 0.870531i | \(-0.663775\pi\) | ||
0.492113 | − | 0.870531i | \(-0.336225\pi\) | |||||||
\(488\) | −16.4322 | − | 6.98710i | −0.743849 | − | 0.316291i | ||||
\(489\) | 2.81100i | 0.127118i | ||||||||
\(490\) | 2.24309 | + | 0.302422i | 0.101332 | + | 0.0136620i | ||||
\(491\) | 9.52330 | − | 9.52330i | 0.429781 | − | 0.429781i | −0.458773 | − | 0.888554i | \(-0.651711\pi\) |
0.888554 | + | 0.458773i | \(0.151711\pi\) | |||||||
\(492\) | 0.153590 | + | 0.269896i | 0.00692437 | + | 0.0121679i | ||||
\(493\) | 6.52029 | + | 6.52029i | 0.293659 | + | 0.293659i | ||||
\(494\) | 26.8427 | − | 20.4645i | 1.20771 | − | 0.920743i | ||||
\(495\) | 23.1567 | 1.04082 | ||||||||
\(496\) | 2.86704 | + | 1.70328i | 0.128734 | + | 0.0764797i | ||||
\(497\) | 2.05301 | 0.0920901 | ||||||||
\(498\) | −5.47618 | + | 4.17497i | −0.245393 | + | 0.187085i | ||||
\(499\) | 9.78190 | + | 9.78190i | 0.437898 | + | 0.437898i | 0.891304 | − | 0.453406i | \(-0.149791\pi\) |
−0.453406 | + | 0.891304i | \(0.649791\pi\) | |||||||
\(500\) | 20.6939 | − | 11.7763i | 0.925461 | − | 0.526653i | ||||
\(501\) | 5.17871 | − | 5.17871i | 0.231368 | − | 0.231368i | ||||
\(502\) | 23.3736 | + | 3.15132i | 1.04322 | + | 0.140650i | ||||
\(503\) | − | 11.0554i | − | 0.492938i | −0.969151 | − | 0.246469i | \(-0.920730\pi\) | ||
0.969151 | − | 0.246469i | \(-0.0792703\pi\) | |||||||
\(504\) | 6.95776 | − | 2.80609i | 0.309923 | − | 0.124993i | ||||
\(505\) | − | 6.53038i | − | 0.290598i | ||||||
\(506\) | 2.68495 | − | 19.9145i | 0.119361 | − | 0.885307i | ||||
\(507\) | −12.7096 | + | 12.7096i | −0.564452 | + | 0.564452i | ||||
\(508\) | 9.36392 | − | 34.0953i | 0.415457 | − | 1.51273i | ||||
\(509\) | −0.173240 | − | 0.173240i | −0.00767871 | − | 0.00767871i | 0.703257 | − | 0.710936i | \(-0.251728\pi\) |
−0.710936 | + | 0.703257i | \(0.751728\pi\) | |||||||
\(510\) | 4.31369 | + | 5.65814i | 0.191014 | + | 0.250546i | ||||
\(511\) | −5.48268 | −0.242540 | ||||||||
\(512\) | −9.24192 | + | 20.6540i | −0.408439 | + | 0.912786i | ||||
\(513\) | −12.0602 | −0.532472 | ||||||||
\(514\) | 17.4893 | + | 22.9402i | 0.771422 | + | 1.01185i | ||||
\(515\) | 8.75973 | + | 8.75973i | 0.386000 | + | 0.386000i | ||||
\(516\) | −0.553015 | + | 2.01360i | −0.0243451 | + | 0.0886439i | ||||
\(517\) | −41.4874 | + | 41.4874i | −1.82461 | + | 1.82461i | ||||
\(518\) | −1.18374 | + | 8.77991i | −0.0520106 | + | 0.385767i | ||||
\(519\) | 7.71937i | 0.338843i | ||||||||
\(520\) | 27.6856 | − | 11.1657i | 1.21409 | − | 0.489648i | ||||
\(521\) | 29.9861i | 1.31371i | 0.754015 | + | 0.656857i | \(0.228115\pi\) | ||||
−0.754015 | + | 0.656857i | \(0.771885\pi\) | |||||||
\(522\) | −6.42866 | − | 0.866737i | −0.281375 | − | 0.0379360i | ||||
\(523\) | 1.48931 | − | 1.48931i | 0.0651228 | − | 0.0651228i | −0.673795 | − | 0.738918i | \(-0.735337\pi\) |
0.738918 | + | 0.673795i | \(0.235337\pi\) | |||||||
\(524\) | 5.35681 | − | 3.04840i | 0.234013 | − | 0.133170i | ||||
\(525\) | 1.01652 | + | 1.01652i | 0.0443646 | + | 0.0443646i | ||||
\(526\) | −26.2552 | + | 20.0166i | −1.14478 | + | 0.872766i | ||||
\(527\) | 4.44558 | 0.193653 | ||||||||
\(528\) | −11.0587 | − | 6.56986i | −0.481268 | − | 0.285917i | ||||
\(529\) | 16.2148 | 0.704991 | ||||||||
\(530\) | −0.121222 | + | 0.0924185i | −0.00526556 | + | 0.00401440i | ||||
\(531\) | 9.56695 | + | 9.56695i | 0.415170 | + | 0.415170i | ||||
\(532\) | −3.58011 | − | 6.29115i | −0.155217 | − | 0.272756i | ||||
\(533\) | 1.22818 | − | 1.22818i | 0.0531983 | − | 0.0531983i | ||||
\(534\) | 5.22717 | + | 0.704747i | 0.226202 | + | 0.0304974i | ||||
\(535\) | − | 5.28380i | − | 0.228439i | ||||||
\(536\) | −35.0054 | − | 14.8846i | −1.51200 | − | 0.642917i | ||||
\(537\) | − | 8.29975i | − | 0.358161i | ||||||
\(538\) | −5.89790 | + | 43.7452i | −0.254277 | + | 1.88599i | ||||
\(539\) | −3.85718 | + | 3.85718i | −0.166140 | + | 0.166140i | ||||
\(540\) | −10.2854 | − | 2.82477i | −0.442611 | − | 0.121559i | ||||
\(541\) | 12.0837 | + | 12.0837i | 0.519519 | + | 0.519519i | 0.917426 | − | 0.397907i | \(-0.130263\pi\) |
−0.397907 | + | 0.917426i | \(0.630263\pi\) | |||||||
\(542\) | 1.25519 | + | 1.64639i | 0.0539150 | + | 0.0707186i | ||||
\(543\) | −4.23628 | −0.181796 | ||||||||
\(544\) | 3.47080 | + | 29.9637i | 0.148809 | + | 1.28468i | ||||
\(545\) | 11.1545 | 0.477808 | ||||||||
\(546\) | 3.33337 | + | 4.37227i | 0.142655 | + | 0.187116i | ||||
\(547\) | 12.2663 | + | 12.2663i | 0.524468 | + | 0.524468i | 0.918918 | − | 0.394449i | \(-0.129065\pi\) |
−0.394449 | + | 0.918918i | \(0.629065\pi\) | |||||||
\(548\) | −16.4827 | − | 4.52680i | −0.704105 | − | 0.193375i | ||||
\(549\) | 11.8406 | − | 11.8406i | 0.505344 | − | 0.505344i | ||||
\(550\) | −2.51354 | + | 18.6432i | −0.107178 | + | 0.794947i | ||||
\(551\) | 6.25872i | 0.266631i | ||||||||
\(552\) | −1.69957 | + | 3.99703i | −0.0723385 | + | 0.170125i | ||||
\(553\) | − | 5.21576i | − | 0.221797i | ||||||
\(554\) | −2.75972 | − | 0.372076i | −0.117249 | − | 0.0158080i | ||||
\(555\) | 4.17940 | − | 4.17940i | 0.177406 | − | 0.177406i | ||||
\(556\) | −8.00950 | − | 14.0747i | −0.339678 | − | 0.596901i | ||||
\(557\) | −2.32720 | − | 2.32720i | −0.0986065 | − | 0.0986065i | 0.656083 | − | 0.754689i | \(-0.272212\pi\) |
−0.754689 | + | 0.656083i | \(0.772212\pi\) | |||||||
\(558\) | −2.48703 | + | 1.89608i | −0.105284 | + | 0.0802675i | ||||
\(559\) | 11.6795 | 0.493992 | ||||||||
\(560\) | −1.57971 | − | 6.20385i | −0.0667549 | − | 0.262160i | ||||
\(561\) | −17.1474 | −0.723964 | ||||||||
\(562\) | 6.37385 | − | 4.85935i | 0.268865 | − | 0.204979i | ||||
\(563\) | −12.0571 | − | 12.0571i | −0.508146 | − | 0.508146i | 0.405811 | − | 0.913957i | \(-0.366989\pi\) |
−0.913957 | + | 0.405811i | \(0.866989\pi\) | |||||||
\(564\) | 11.0219 | − | 6.27226i | 0.464107 | − | 0.264110i | ||||
\(565\) | −5.93437 | + | 5.93437i | −0.249661 | + | 0.249661i | ||||
\(566\) | −33.0242 | − | 4.45245i | −1.38811 | − | 0.187151i | ||||
\(567\) | 5.99297i | 0.251681i | ||||||||
\(568\) | −2.17191 | − | 5.38531i | −0.0911315 | − | 0.225963i | ||||
\(569\) | − | 7.99770i | − | 0.335281i | −0.985848 | − | 0.167641i | \(-0.946385\pi\) | ||
0.985848 | − | 0.167641i | \(-0.0536148\pi\) | |||||||
\(570\) | −0.645253 | + | 4.78590i | −0.0270267 | + | 0.200459i | ||||
\(571\) | 22.0516 | − | 22.0516i | 0.922832 | − | 0.922832i | −0.0743968 | − | 0.997229i | \(-0.523703\pi\) |
0.997229 | + | 0.0743968i | \(0.0237031\pi\) | |||||||
\(572\) | −19.0537 | + | 69.3769i | −0.796674 | + | 2.90079i | ||||
\(573\) | 8.66753 | + | 8.66753i | 0.362091 | + | 0.362091i | ||||
\(574\) | −0.225828 | − | 0.296212i | −0.00942589 | − | 0.0123636i | ||||
\(575\) | 6.35204 | 0.264899 | ||||||||
\(576\) | −14.7215 | − | 15.2825i | −0.613395 | − | 0.636771i | ||||
\(577\) | 43.4199 | 1.80760 | 0.903798 | − | 0.427960i | \(-0.140768\pi\) | ||||
0.903798 | + | 0.427960i | \(0.140768\pi\) | |||||||
\(578\) | 9.80324 | + | 12.8586i | 0.407761 | + | 0.534847i | ||||
\(579\) | 5.56280 | + | 5.56280i | 0.231182 | + | 0.231182i | ||||
\(580\) | −1.46593 | + | 5.33765i | −0.0608695 | + | 0.221634i | ||||
\(581\) | 5.84045 | − | 5.84045i | 0.242303 | − | 0.242303i | ||||
\(582\) | −2.09524 | + | 15.5405i | −0.0868503 | + | 0.644176i | ||||
\(583\) | − | 0.367373i | − | 0.0152150i | ||||||
\(584\) | 5.80023 | + | 14.3818i | 0.240015 | + | 0.595123i | ||||
\(585\) | 27.9952i | 1.15746i | ||||||||
\(586\) | 33.9173 | + | 4.57286i | 1.40111 | + | 0.188903i | ||||
\(587\) | −18.2274 | + | 18.2274i | −0.752326 | + | 0.752326i | −0.974913 | − | 0.222587i | \(-0.928550\pi\) |
0.222587 | + | 0.974913i | \(0.428550\pi\) | |||||||
\(588\) | 1.02473 | − | 0.583146i | 0.0422593 | − | 0.0240485i | ||||
\(589\) | 2.13362 | + | 2.13362i | 0.0879143 | + | 0.0879143i | ||||
\(590\) | 9.18118 | − | 6.99962i | 0.377983 | − | 0.288170i | ||||
\(591\) | 0.162125 | 0.00666892 | ||||||||
\(592\) | 24.2831 | − | 6.18331i | 0.998031 | − | 0.254133i | ||||
\(593\) | −39.7514 | −1.63239 | −0.816197 | − | 0.577773i | \(-0.803922\pi\) | ||||
−0.816197 | + | 0.577773i | \(0.803922\pi\) | |||||||
\(594\) | 20.4427 | − | 15.5853i | 0.838774 | − | 0.639471i | ||||
\(595\) | −6.03452 | − | 6.03452i | −0.247391 | − | 0.247391i | ||||
\(596\) | 0.552793 | + | 0.971396i | 0.0226433 | + | 0.0397899i | ||||
\(597\) | 6.00280 | − | 6.00280i | 0.245678 | − | 0.245678i | ||||
\(598\) | 24.0755 | + | 3.24596i | 0.984522 | + | 0.132737i | ||||
\(599\) | 37.5296i | 1.53342i | 0.641996 | + | 0.766708i | \(0.278107\pi\) | ||||
−0.641996 | + | 0.766708i | \(0.721893\pi\) | |||||||
\(600\) | 1.59107 | − | 3.74186i | 0.0649552 | − | 0.152761i | ||||
\(601\) | 3.99899i | 0.163122i | 0.996668 | + | 0.0815611i | \(0.0259906\pi\) | ||||
−0.996668 | + | 0.0815611i | \(0.974009\pi\) | |||||||
\(602\) | 0.334661 | − | 2.48221i | 0.0136398 | − | 0.101167i | ||||
\(603\) | 25.2240 | − | 25.2240i | 1.02720 | − | 1.02720i | ||||
\(604\) | 7.16585 | + | 1.96803i | 0.291574 | + | 0.0800780i | ||||
\(605\) | 21.2256 | + | 21.2256i | 0.862942 | + | 0.862942i | ||||
\(606\) | −2.06247 | − | 2.70527i | −0.0837820 | − | 0.109894i | ||||
\(607\) | −24.3672 | −0.989035 | −0.494517 | − | 0.869168i | \(-0.664655\pi\) | ||||
−0.494517 | + | 0.869168i | \(0.664655\pi\) | |||||||
\(608\) | −12.7151 | + | 16.0466i | −0.515663 | + | 0.650776i | ||||
\(609\) | −1.01945 | −0.0413103 | ||||||||
\(610\) | −8.66311 | − | 11.3631i | −0.350759 | − | 0.460080i | ||||
\(611\) | −50.1560 | − | 50.1560i | −2.02909 | − | 2.02909i | ||||
\(612\) | −27.2775 | − | 7.49148i | −1.10263 | − | 0.302825i | ||||
\(613\) | −16.7167 | + | 16.7167i | −0.675179 | + | 0.675179i | −0.958905 | − | 0.283726i | \(-0.908429\pi\) |
0.283726 | + | 0.958905i | \(0.408429\pi\) | |||||||
\(614\) | 2.56497 | − | 19.0246i | 0.103514 | − | 0.767771i | ||||
\(615\) | 0.248501i | 0.0100205i | ||||||||
\(616\) | 14.1984 | + | 6.03730i | 0.572072 | + | 0.243250i | ||||
\(617\) | 2.64202i | 0.106364i | 0.998585 | + | 0.0531819i | \(0.0169363\pi\) | ||||
−0.998585 | + | 0.0531819i | \(0.983064\pi\) | |||||||
\(618\) | 6.39537 | + | 0.862248i | 0.257259 | + | 0.0346847i | ||||
\(619\) | 26.9772 | − | 26.9772i | 1.08431 | − | 1.08431i | 0.0882048 | − | 0.996102i | \(-0.471887\pi\) |
0.996102 | − | 0.0882048i | \(-0.0281130\pi\) | |||||||
\(620\) | 1.31988 | + | 2.31936i | 0.0530077 | + | 0.0931479i | ||||
\(621\) | −6.13767 | − | 6.13767i | −0.246296 | − | 0.246296i | ||||
\(622\) | 21.5782 | − | 16.4510i | 0.865207 | − | 0.659623i | ||||
\(623\) | −6.32651 | −0.253466 | ||||||||
\(624\) | 7.94260 | − | 13.3693i | 0.317959 | − | 0.535202i | ||||
\(625\) | 6.86071 | 0.274428 | ||||||||
\(626\) | 5.66781 | − | 4.32107i | 0.226531 | − | 0.172705i | ||||
\(627\) | −8.22975 | − | 8.22975i | −0.328665 | − | 0.328665i | ||||
\(628\) | −9.82175 | + | 5.58927i | −0.391931 | + | 0.223036i | ||||
\(629\) | 23.6204 | − | 23.6204i | 0.941805 | − | 0.941805i | ||||
\(630\) | 5.94971 | + | 0.802163i | 0.237042 | + | 0.0319589i | ||||
\(631\) | − | 18.9710i | − | 0.755223i | −0.925964 | − | 0.377611i | \(-0.876746\pi\) | ||
0.925964 | − | 0.377611i | \(-0.123254\pi\) | |||||||
\(632\) | −13.6816 | + | 5.51784i | −0.544225 | + | 0.219488i | ||||
\(633\) | 6.43919i | 0.255935i | ||||||||
\(634\) | −1.47670 | + | 10.9528i | −0.0586474 | + | 0.434992i | ||||
\(635\) | 20.0070 | − | 20.0070i | 0.793954 | − | 0.793954i | ||||
\(636\) | −0.0210293 | + | 0.0765705i | −0.000833867 | + | 0.00303622i | ||||
\(637\) | −4.66311 | − | 4.66311i | −0.184759 | − | 0.184759i | ||||
\(638\) | −8.08807 | − | 10.6089i | −0.320210 | − | 0.420009i | ||||
\(639\) | 5.44554 | 0.215422 | ||||||||
\(640\) | −14.6023 | + | 10.7069i | −0.577206 | + | 0.423229i | ||||
\(641\) | 31.3762 | 1.23929 | 0.619643 | − | 0.784884i | \(-0.287277\pi\) | ||||
0.619643 | + | 0.784884i | \(0.287277\pi\) | |||||||
\(642\) | −1.66877 | − | 2.18887i | −0.0658610 | − | 0.0863877i | ||||
\(643\) | 13.5690 | + | 13.5690i | 0.535110 | + | 0.535110i | 0.922089 | − | 0.386978i | \(-0.126481\pi\) |
−0.386978 | + | 0.922089i | \(0.626481\pi\) | |||||||
\(644\) | 1.37970 | − | 5.02367i | 0.0543678 | − | 0.197960i | ||||
\(645\) | −1.18158 | + | 1.18158i | −0.0465245 | + | 0.0465245i | ||||
\(646\) | −3.64672 | + | 27.0481i | −0.143478 | + | 1.06419i | ||||
\(647\) | − | 39.6587i | − | 1.55915i | −0.626312 | − | 0.779573i | \(-0.715436\pi\) | ||
0.626312 | − | 0.779573i | \(-0.284564\pi\) | |||||||
\(648\) | 15.7203 | − | 6.34007i | 0.617553 | − | 0.249061i | ||||
\(649\) | 27.8242i | 1.09220i | ||||||||
\(650\) | −22.5386 | − | 3.03874i | −0.884035 | − | 0.119189i | ||||
\(651\) | −0.347535 | + | 0.347535i | −0.0136210 | + | 0.0136210i | ||||
\(652\) | −8.28845 | + | 4.71671i | −0.324601 | + | 0.184721i | ||||
\(653\) | 2.96664 | + | 2.96664i | 0.116094 | + | 0.116094i | 0.762767 | − | 0.646673i | \(-0.223840\pi\) |
−0.646673 | + | 0.762767i | \(0.723840\pi\) | |||||||
\(654\) | 4.62088 | − | 3.52291i | 0.180691 | − | 0.137757i | ||||
\(655\) | 4.93216 | 0.192715 | ||||||||
\(656\) | −0.538094 | + | 0.905745i | −0.0210091 | + | 0.0353634i | ||||
\(657\) | −14.5426 | −0.567362 | ||||||||
\(658\) | −12.0966 | + | 9.22231i | −0.471575 | + | 0.359523i | ||||
\(659\) | −19.5078 | − | 19.5078i | −0.759915 | − | 0.759915i | 0.216391 | − | 0.976307i | \(-0.430571\pi\) |
−0.976307 | + | 0.216391i | \(0.930571\pi\) | |||||||
\(660\) | −5.09102 | − | 8.94620i | −0.198168 | − | 0.348230i | ||||
\(661\) | 11.9741 | − | 11.9741i | 0.465739 | − | 0.465739i | −0.434792 | − | 0.900531i | \(-0.643178\pi\) |
0.900531 | + | 0.434792i | \(0.143178\pi\) | |||||||
\(662\) | −29.2383 | − | 3.94203i | −1.13638 | − | 0.153211i | ||||
\(663\) | − | 20.7303i | − | 0.805097i | ||||||
\(664\) | −21.4990 | − | 9.14155i | −0.834323 | − | 0.354761i | ||||
\(665\) | − | 5.79243i | − | 0.224621i | ||||||
\(666\) | −3.13983 | + | 23.2884i | −0.121666 | + | 0.902407i | ||||
\(667\) | −3.18518 | + | 3.18518i | −0.123331 | + | 0.123331i | ||||
\(668\) | 23.9595 | + | 6.58023i | 0.927020 | + | 0.254597i | ||||
\(669\) | −2.94418 | − | 2.94418i | −0.113828 | − | 0.113828i | ||||
\(670\) | −18.4550 | − | 24.2069i | −0.712980 | − | 0.935193i | ||||
\(671\) | 34.4368 | 1.32942 | ||||||||
\(672\) | −2.61375 | − | 2.07109i | −0.100828 | − | 0.0798940i | ||||
\(673\) | −30.9400 | −1.19265 | −0.596324 | − | 0.802744i | \(-0.703373\pi\) | ||||
−0.596324 | + | 0.802744i | \(0.703373\pi\) | |||||||
\(674\) | 14.3284 | + | 18.7941i | 0.551909 | + | 0.723922i | ||||
\(675\) | 5.74585 | + | 5.74585i | 0.221158 | + | 0.221158i | ||||
\(676\) | −58.8012 | − | 16.1492i | −2.26159 | − | 0.621122i | ||||
\(677\) | −0.0123354 | + | 0.0123354i | −0.000474089 | + | 0.000474089i | −0.707344 | − | 0.706870i | \(-0.750107\pi\) |
0.706870 | + | 0.707344i | \(0.250107\pi\) | |||||||
\(678\) | −0.584138 | + | 4.33260i | −0.0224337 | + | 0.166393i | ||||
\(679\) | − | 18.8089i | − | 0.721820i | ||||||
\(680\) | −9.44530 | + | 22.2133i | −0.362211 | + | 0.851843i | ||||
\(681\) | − | 9.85681i | − | 0.377714i | ||||||
\(682\) | −6.37385 | − | 0.859347i | −0.244067 | − | 0.0329061i | ||||
\(683\) | −14.1350 | + | 14.1350i | −0.540860 | + | 0.540860i | −0.923781 | − | 0.382921i | \(-0.874918\pi\) |
0.382921 | + | 0.923781i | \(0.374918\pi\) | |||||||
\(684\) | −9.49612 | − | 16.6871i | −0.363093 | − | 0.638046i | ||||
\(685\) | −9.67199 | − | 9.67199i | −0.369548 | − | 0.369548i | ||||
\(686\) | −1.12465 | + | 0.857418i | −0.0429393 | + | 0.0327364i | ||||
\(687\) | −7.81864 | −0.298300 | ||||||||
\(688\) | −6.86520 | + | 1.74811i | −0.261733 | + | 0.0666461i | ||||
\(689\) | 0.444134 | 0.0169202 | ||||||||
\(690\) | −2.76401 | + | 2.10725i | −0.105224 | + | 0.0802217i | ||||
\(691\) | 31.5355 | + | 31.5355i | 1.19967 | + | 1.19967i | 0.974266 | + | 0.225402i | \(0.0723695\pi\) |
0.225402 | + | 0.974266i | \(0.427631\pi\) | |||||||
\(692\) | −22.7612 | + | 12.9527i | −0.865250 | + | 0.492388i | ||||
\(693\) | −10.2310 | + | 10.2310i | −0.388645 | + | 0.388645i | ||||
\(694\) | 11.0584 | + | 1.49094i | 0.419773 | + | 0.0565954i | ||||
\(695\) | − | 12.9590i | − | 0.491561i | ||||||
\(696\) | 1.07850 | + | 2.67415i | 0.0408803 | + | 0.101364i | ||||
\(697\) | 1.40443i | 0.0531966i | ||||||||
\(698\) | 4.80450 | − | 35.6354i | 0.181853 | − | 1.34882i | ||||
\(699\) | −10.1873 | + | 10.1873i | −0.385319 | + | 0.385319i | ||||
\(700\) | −1.29162 | + | 4.70296i | −0.0488187 | + | 0.177755i | ||||
\(701\) | −16.8654 | − | 16.8654i | −0.636998 | − | 0.636998i | 0.312816 | − | 0.949814i | \(-0.398728\pi\) |
−0.949814 | + | 0.312816i | \(0.898728\pi\) | |||||||
\(702\) | 18.8417 | + | 24.7141i | 0.711135 | + | 0.932773i | ||||
\(703\) | 22.6728 | 0.855120 | ||||||||
\(704\) | 0.815838 | − | 43.6313i | 0.0307481 | − | 1.64442i | ||||
\(705\) | 10.1482 | 0.382203 | ||||||||
\(706\) | −21.4627 | − | 28.1520i | −0.807761 | − | 1.05951i | ||||
\(707\) | 2.88523 | + | 2.88523i | 0.108510 | + | 0.108510i | ||||
\(708\) | 1.59273 | − | 5.79933i | 0.0598583 | − | 0.217952i | ||||
\(709\) | 21.6343 | − | 21.6343i | 0.812493 | − | 0.812493i | −0.172514 | − | 0.985007i | \(-0.555189\pi\) |
0.985007 | + | 0.172514i | \(0.0551890\pi\) | |||||||
\(710\) | 0.620874 | − | 4.60508i | 0.0233010 | − | 0.172826i | ||||
\(711\) | − | 13.8346i | − | 0.518839i | ||||||
\(712\) | 6.69293 | + | 16.5953i | 0.250828 | + | 0.621934i | ||||
\(713\) | 2.17168i | 0.0813300i | ||||||||
\(714\) | −4.40572 | − | 0.593996i | −0.164880 | − | 0.0222298i | ||||
\(715\) | −40.7102 | + | 40.7102i | −1.52248 | + | 1.52248i | ||||
\(716\) | 24.4725 | − | 13.9266i | 0.914580 | − | 0.520460i | ||||
\(717\) | −2.61643 | − | 2.61643i | −0.0977123 | − | 0.0977123i | ||||
\(718\) | −20.2335 | + | 15.4258i | −0.755107 | + | 0.575685i | ||||
\(719\) | 40.3698 | 1.50554 | 0.752769 | − | 0.658284i | \(-0.228717\pi\) | ||||
0.752769 | + | 0.658284i | \(0.228717\pi\) | |||||||
\(720\) | −4.19012 | − | 16.4555i | −0.156157 | − | 0.613260i | ||||
\(721\) | −7.74040 | −0.288267 | ||||||||
\(722\) | 6.63661 | − | 5.05967i | 0.246989 | − | 0.188302i | ||||
\(723\) | −6.25799 | − | 6.25799i | −0.232737 | − | 0.232737i | ||||
\(724\) | −7.10827 | − | 12.4910i | −0.264177 | − | 0.464225i | ||||
\(725\) | 2.98184 | − | 2.98184i | 0.110743 | − | 0.110743i | ||||
\(726\) | 15.4965 | + | 2.08930i | 0.575129 | + | 0.0775411i | ||||
\(727\) | − | 3.43634i | − | 0.127447i | −0.997968 | − | 0.0637234i | \(-0.979702\pi\) | ||
0.997968 | − | 0.0637234i | \(-0.0202976\pi\) | |||||||
\(728\) | −7.29876 | + | 17.1651i | −0.270510 | + | 0.636183i | ||||
\(729\) | 10.0029i | 0.370476i | ||||||||
\(730\) | −1.65808 | + | 12.2981i | −0.0613684 | + | 0.455174i | ||||
\(731\) | −6.67782 | + | 6.67782i | −0.246988 | + | 0.246988i | ||||
\(732\) | −7.17756 | − | 1.97125i | −0.265290 | − | 0.0728593i | ||||
\(733\) | −27.3393 | − | 27.3393i | −1.00980 | − | 1.00980i | −0.999951 | − | 0.00984960i | \(-0.996865\pi\) |
−0.00984960 | − | 0.999951i | \(-0.503135\pi\) | |||||||
\(734\) | 8.83805 | + | 11.5926i | 0.326218 | + | 0.427890i | ||||
\(735\) | 0.943500 | 0.0348015 | ||||||||
\(736\) | −14.6373 | + | 1.69549i | −0.539540 | + | 0.0624967i | ||||
\(737\) | 73.3607 | 2.70228 | ||||||||
\(738\) | −0.599002 | − | 0.785692i | −0.0220496 | − | 0.0289217i | ||||
\(739\) | −28.3591 | − | 28.3591i | −1.04321 | − | 1.04321i | −0.999023 | − | 0.0441845i | \(-0.985931\pi\) |
−0.0441845 | − | 0.999023i | \(-0.514069\pi\) | |||||||
\(740\) | 19.3361 | + | 5.31047i | 0.710809 | + | 0.195217i | ||||
\(741\) | 9.94932 | − | 9.94932i | 0.365497 | − | 0.365497i | ||||
\(742\) | 0.0127260 | − | 0.0943901i | 0.000467187 | − | 0.00346517i | ||||
\(743\) | − | 34.1733i | − | 1.25370i | −0.779141 | − | 0.626848i | \(-0.784344\pi\) | ||
0.779141 | − | 0.626848i | \(-0.215656\pi\) | |||||||
\(744\) | 1.27929 | + | 0.543966i | 0.0469011 | + | 0.0199427i | ||||
\(745\) | 0.894391i | 0.0327679i | ||||||||
\(746\) | 31.8231 | + | 4.29052i | 1.16513 | + | 0.157087i | ||||
\(747\) | 15.4916 | − | 15.4916i | 0.566808 | − | 0.566808i | ||||
\(748\) | −28.7725 | − | 50.5605i | −1.05203 | − | 1.84867i | ||||
\(749\) | 2.33447 | + | 2.33447i | 0.0852997 | + | 0.0852997i | ||||
\(750\) | 7.89309 | − | 6.01760i | 0.288215 | − | 0.219732i | ||||
\(751\) | 8.55791 | 0.312282 | 0.156141 | − | 0.987735i | \(-0.450095\pi\) | ||||
0.156141 | + | 0.987735i | \(0.450095\pi\) | |||||||
\(752\) | 36.9885 | + | 21.9745i | 1.34883 | + | 0.801329i | ||||
\(753\) | 9.83155 | 0.358281 | ||||||||
\(754\) | 12.8255 | − | 9.77803i | 0.467078 | − | 0.356095i | ||||
\(755\) | 4.20490 | + | 4.20490i | 0.153032 | + | 0.153032i | ||||
\(756\) | 5.79227 | − | 3.29621i | 0.210663 | − | 0.119882i | ||||
\(757\) | −25.0492 | + | 25.0492i | −0.910428 | + | 0.910428i | −0.996306 | − | 0.0858779i | \(-0.972631\pi\) |
0.0858779 | + | 0.996306i | \(0.472631\pi\) | |||||||
\(758\) | 31.3012 | + | 4.22015i | 1.13691 | + | 0.153283i | ||||
\(759\) | − | 8.37655i | − | 0.304050i | ||||||
\(760\) | −15.1943 | + | 6.12792i | −0.551155 | + | 0.222283i | ||||
\(761\) | 28.4224i | 1.03031i | 0.857097 | + | 0.515155i | \(0.172266\pi\) | ||||
−0.857097 | + | 0.515155i | \(0.827734\pi\) | |||||||
\(762\) | 1.96935 | − | 14.6069i | 0.0713421 | − | 0.529151i | ||||
\(763\) | −4.92827 | + | 4.92827i | −0.178415 | + | 0.178415i | ||||
\(764\) | −11.0132 | + | 40.1006i | −0.398445 | + | 1.45079i | ||||
\(765\) | −16.0063 | − | 16.0063i | −0.578711 | − | 0.578711i | ||||
\(766\) | 15.7450 | + | 20.6522i | 0.568890 | + | 0.746195i | ||||
\(767\) | −33.6380 | −1.21460 | ||||||||
\(768\) | −2.66761 | + | 9.04725i | −0.0962589 | + | 0.326465i | ||||
\(769\) | −12.0189 | −0.433413 | −0.216707 | − | 0.976237i | \(-0.569531\pi\) | ||||
−0.216707 | + | 0.976237i | \(0.569531\pi\) | |||||||
\(770\) | 7.48549 | + | 9.81847i | 0.269758 | + | 0.353833i | ||||
\(771\) | 8.50286 | + | 8.50286i | 0.306223 | + | 0.306223i | ||||
\(772\) | −7.06826 | + | 25.7365i | −0.254392 | + | 0.926276i | ||||
\(773\) | 5.06913 | − | 5.06913i | 0.182324 | − | 0.182324i | −0.610044 | − | 0.792368i | \(-0.708848\pi\) |
0.792368 | + | 0.610044i | \(0.208848\pi\) | |||||||
\(774\) | 0.887676 | − | 6.58397i | 0.0319069 | − | 0.236656i | ||||
\(775\) | − | 2.03304i | − | 0.0730290i | ||||||
\(776\) | −49.3382 | + | 19.8983i | −1.77114 | + | 0.714306i | ||||
\(777\) | 3.69306i | 0.132488i | ||||||||
\(778\) | 27.6604 | + | 3.72929i | 0.991675 | + | 0.133701i | ||||
\(779\) | −0.674045 | + | 0.674045i | −0.0241502 | + | 0.0241502i | ||||
\(780\) | 10.8155 | − | 6.15476i | 0.387256 | − | 0.220376i | ||||
\(781\) | 7.91882 | + | 7.91882i | 0.283358 | + | 0.283358i | ||||
\(782\) | −15.6211 | + | 11.9094i | −0.558611 | + | 0.425878i | ||||
\(783\) | −5.76241 | −0.205932 | ||||||||
\(784\) | 3.43890 | + | 2.04302i | 0.122818 | + | 0.0729650i | ||||
\(785\) | −9.04315 | −0.322764 | ||||||||
\(786\) | 2.04320 | − | 1.55771i | 0.0728784 | − | 0.0555616i | ||||
\(787\) | 16.9635 | + | 16.9635i | 0.604684 | + | 0.604684i | 0.941552 | − | 0.336868i | \(-0.109368\pi\) |
−0.336868 | + | 0.941552i | \(0.609368\pi\) | |||||||
\(788\) | 0.272037 | + | 0.478038i | 0.00969093 | + | 0.0170294i | ||||
\(789\) | −9.73155 | + | 9.73155i | −0.346453 | + | 0.346453i | ||||
\(790\) | −11.6994 | − | 1.57736i | −0.416246 | − | 0.0561199i | ||||
\(791\) | − | 5.24381i | − | 0.186448i | ||||||
\(792\) | 37.6609 | + | 16.0137i | 1.33822 | + | 0.569023i | ||||
\(793\) | 41.6322i | 1.47840i | ||||||||
\(794\) | 0.301475 | − | 2.23607i | 0.0106990 | − | 0.0793551i | ||||
\(795\) | −0.0449314 | + | 0.0449314i | −0.00159355 | + | 0.00159355i | ||||
\(796\) | 27.7722 | + | 7.62734i | 0.984358 | + | 0.270344i | ||||
\(797\) | 35.5609 | + | 35.5609i | 1.25963 | + | 1.25963i | 0.951268 | + | 0.308366i | \(0.0997820\pi\) |
0.308366 | + | 0.951268i | \(0.400218\pi\) | |||||||
\(798\) | −1.82941 | − | 2.39957i | −0.0647603 | − | 0.0849440i | ||||
\(799\) | 57.3537 | 2.02903 | ||||||||
\(800\) | 13.7029 | − | 1.58725i | 0.484471 | − | 0.0561179i | ||||
\(801\) | −16.7808 | −0.592922 | ||||||||
\(802\) | −12.3014 | − | 16.1353i | −0.434376 | − | 0.569757i | ||||
\(803\) | −21.1477 | − | 21.1477i | −0.746285 | − | 0.746285i | ||||
\(804\) | −15.2904 | − | 4.19934i | −0.539249 | − | 0.148099i | ||||
\(805\) | 2.94788 | − | 2.94788i | 0.103899 | − | 0.103899i | ||||
\(806\) | 1.03890 | − | 7.70563i | 0.0365938 | − | 0.271419i | ||||
\(807\) | 18.4004i | 0.647724i | ||||||||
\(808\) | 4.51600 | − | 10.6207i | 0.158872 | − | 0.373634i | ||||
\(809\) | 11.8621i | 0.417050i | 0.978017 | + | 0.208525i | \(0.0668663\pi\) | ||||
−0.978017 | + | 0.208525i | \(0.933134\pi\) | |||||||
\(810\) | 13.4427 | + | 1.81240i | 0.472330 | + | 0.0636814i | ||||
\(811\) | 20.4859 | − | 20.4859i | 0.719357 | − | 0.719357i | −0.249117 | − | 0.968473i | \(-0.580140\pi\) |
0.968473 | + | 0.249117i | \(0.0801403\pi\) | |||||||
\(812\) | −1.71059 | − | 3.00593i | −0.0600299 | − | 0.105488i | ||||
\(813\) | 0.610240 | + | 0.610240i | 0.0214020 | + | 0.0214020i | ||||
\(814\) | −38.4316 | + | 29.2998i | −1.34703 | + | 1.02696i | ||||
\(815\) | −7.63140 | −0.267316 | ||||||||
\(816\) | 3.10276 | + | 12.1852i | 0.108618 | + | 0.426567i | ||||
\(817\) | −6.40993 | −0.224255 | ||||||||
\(818\) | 44.1445 | − | 33.6552i | 1.54347 | − | 1.17673i | ||||
\(819\) | −12.3687 | − | 12.3687i | −0.432199 | − | 0.432199i | ||||
\(820\) | −0.732724 | + | 0.416972i | −0.0255878 | + | 0.0145613i | ||||
\(821\) | −29.0707 | + | 29.0707i | −1.01458 | + | 1.01458i | −0.0146829 | + | 0.999892i | \(0.504674\pi\) |
−0.999892 | + | 0.0146829i | \(0.995326\pi\) | |||||||
\(822\) | −7.06140 | − | 0.952045i | −0.246294 | − | 0.0332064i | ||||
\(823\) | 51.3595i | 1.79028i | 0.445785 | + | 0.895140i | \(0.352925\pi\) | ||||
−0.445785 | + | 0.895140i | \(0.647075\pi\) | |||||||
\(824\) | 8.18870 | + | 20.3041i | 0.285267 | + | 0.707326i | ||||
\(825\) | 7.84180i | 0.273016i | ||||||||
\(826\) | −0.963849 | + | 7.14895i | −0.0335366 | + | 0.248744i | ||||
\(827\) | −24.4414 | + | 24.4414i | −0.849912 | + | 0.849912i | −0.990122 | − | 0.140210i | \(-0.955222\pi\) |
0.140210 | + | 0.990122i | \(0.455222\pi\) | |||||||
\(828\) | 3.65961 | − | 13.3251i | 0.127180 | − | 0.463080i | ||||
\(829\) | −11.3861 | − | 11.3861i | −0.395455 | − | 0.395455i | 0.481172 | − | 0.876626i | \(-0.340211\pi\) |
−0.876626 | + | 0.481172i | \(0.840211\pi\) | |||||||
\(830\) | −11.3344 | − | 14.8669i | −0.393422 | − | 0.516039i | ||||
\(831\) | −1.16081 | −0.0402680 | ||||||||
\(832\) | 52.7479 | + | 0.986303i | 1.82870 | + | 0.0341939i | ||||
\(833\) | 5.33230 | 0.184753 | ||||||||
\(834\) | −4.09279 | − | 5.36838i | −0.141722 | − | 0.185892i | ||||
\(835\) | 14.0594 | + | 14.0594i | 0.486544 | + | 0.486544i | ||||
\(836\) | 10.4570 | − | 38.0752i | 0.361662 | − | 1.31686i | ||||
\(837\) | −1.96443 | + | 1.96443i | −0.0679006 | + | 0.0679006i | ||||
\(838\) | 1.17975 | − | 8.75028i | 0.0407537 | − | 0.302273i | ||||
\(839\) | 35.2906i | 1.21837i | 0.793029 | + | 0.609184i | \(0.208503\pi\) | ||||
−0.793029 | + | 0.609184i | \(0.791497\pi\) | |||||||
\(840\) | −0.998145 | − | 2.47492i | −0.0344393 | − | 0.0853930i | ||||
\(841\) | − | 26.0096i | − | 0.896881i | ||||||
\(842\) | −15.0140 | − | 2.02425i | −0.517418 | − | 0.0697603i | ||||
\(843\) | 2.36249 | − | 2.36249i | 0.0813683 | − | 0.0813683i | ||||
\(844\) | −18.9865 | + | 10.8046i | −0.653541 | + | 0.371911i | ||||
\(845\) | −34.5044 | − | 34.5044i | −1.18699 | − | 1.18699i | ||||
\(846\) | −32.0858 | + | 24.4619i | −1.10313 | + | 0.841016i | ||||
\(847\) | −18.7556 | −0.644451 | ||||||||
\(848\) | −0.261061 | + | 0.0664749i | −0.00896486 | + | 0.00228276i | ||||
\(849\) | −13.8908 | −0.476732 | ||||||||
\(850\) | 14.6239 | − | 11.1491i | 0.501596 | − | 0.382411i | ||||
\(851\) | 11.5386 | + | 11.5386i | 0.395538 | + | 0.395538i | ||||
\(852\) | −1.19720 | − | 2.10379i | −0.0410155 | − | 0.0720746i | ||||
\(853\) | −6.93449 | + | 6.93449i | −0.237432 | + | 0.237432i | −0.815786 | − | 0.578354i | \(-0.803695\pi\) |
0.578354 | + | 0.815786i | \(0.303695\pi\) | |||||||
\(854\) | 8.84793 | + | 1.19291i | 0.302770 | + | 0.0408206i | ||||
\(855\) | − | 15.3642i | − | 0.525445i | ||||||
\(856\) | 3.65394 | − | 8.59330i | 0.124889 | − | 0.293713i | ||||
\(857\) | 29.1791i | 0.996737i | 0.866965 | + | 0.498369i | \(0.166067\pi\) | ||||
−0.866965 | + | 0.498369i | \(0.833933\pi\) | |||||||
\(858\) | −4.00723 | + | 29.7220i | −0.136805 | + | 1.01469i | ||||
\(859\) | −1.62614 | + | 1.62614i | −0.0554833 | + | 0.0554833i | −0.734304 | − | 0.678821i | \(-0.762491\pi\) |
0.678821 | + | 0.734304i | \(0.262491\pi\) | |||||||
\(860\) | −5.46660 | − | 1.50135i | −0.186409 | − | 0.0511955i | ||||
\(861\) | −0.109792 | − | 0.109792i | −0.00374169 | − | 0.00374169i | ||||
\(862\) | −15.8962 | − | 20.8505i | −0.541426 | − | 0.710171i | ||||
\(863\) | −33.7059 | −1.14736 | −0.573681 | − | 0.819079i | \(-0.694485\pi\) | ||||
−0.573681 | + | 0.819079i | \(0.694485\pi\) | |||||||
\(864\) | −14.7741 | − | 11.7068i | −0.502626 | − | 0.398272i | ||||
\(865\) | −20.9568 | −0.712554 | ||||||||
\(866\) | 6.18362 | + | 8.11085i | 0.210128 | + | 0.275618i | ||||
\(867\) | 4.76608 | + | 4.76608i | 0.161864 | + | 0.161864i | ||||
\(868\) | −1.60788 | − | 0.441588i | −0.0545750 | − | 0.0149885i | ||||
\(869\) | 20.1181 | − | 20.1181i | 0.682460 | − | 0.682460i | ||||
\(870\) | −0.308304 | + | 2.28672i | −0.0104525 | + | 0.0775270i | ||||
\(871\) | 88.6891i | 3.00512i | ||||||||
\(872\) | 18.1412 | + | 7.71378i | 0.614338 | + | 0.261222i | ||||
\(873\) | − | 49.8900i | − | 1.68852i | ||||||
\(874\) | −13.2130 | − | 1.78143i | −0.446938 | − | 0.0602579i | ||||
\(875\) | −8.41814 | + | 8.41814i | −0.284585 | + | 0.284585i | ||||
\(876\) | 3.19720 | + | 5.61829i | 0.108024 | + | 0.189824i | ||||
\(877\) | −25.3846 | − | 25.3846i | −0.857178 | − | 0.857178i | 0.133827 | − | 0.991005i | \(-0.457273\pi\) |
−0.991005 | + | 0.133827i | \(0.957273\pi\) | |||||||
\(878\) | −17.0513 | + | 12.9997i | −0.575454 | + | 0.438719i | ||||
\(879\) | 14.2665 | 0.481196 | ||||||||
\(880\) | 17.8361 | − | 30.0225i | 0.601255 | − | 1.01206i | ||||
\(881\) | 13.0482 | 0.439606 | 0.219803 | − | 0.975544i | \(-0.429459\pi\) | ||||
0.219803 | + | 0.975544i | \(0.429459\pi\) | |||||||
\(882\) | −2.98309 | + | 2.27427i | −0.100446 | + | 0.0765787i | ||||
\(883\) | −24.2895 | − | 24.2895i | −0.817407 | − | 0.817407i | 0.168325 | − | 0.985732i | \(-0.446164\pi\) |
−0.985732 | + | 0.168325i | \(0.946164\pi\) | |||||||
\(884\) | 61.1248 | − | 34.7843i | 2.05585 | − | 1.16992i | ||||
\(885\) | 3.40303 | − | 3.40303i | 0.114392 | − | 0.114392i | ||||
\(886\) | −4.19694 | − | 0.565848i | −0.140999 | − | 0.0190100i | ||||
\(887\) | − | 19.8489i | − | 0.666461i | −0.942845 | − | 0.333230i | \(-0.891861\pi\) | ||
0.942845 | − | 0.333230i | \(-0.108139\pi\) | |||||||
\(888\) | 9.68736 | − | 3.90695i | 0.325087 | − | 0.131109i | ||||
\(889\) | 17.6789i | 0.592930i | ||||||||
\(890\) | −1.91327 | + | 14.1909i | −0.0641331 | + | 0.475680i | ||||
\(891\) | −23.1159 | + | 23.1159i | −0.774413 | + | 0.774413i | ||||
\(892\) | 3.74096 | − | 13.6213i | 0.125257 | − | 0.456076i | ||||
\(893\) | 27.5264 | + | 27.5264i | 0.921137 | + | 0.921137i | ||||
\(894\) | 0.282473 | + | 0.370510i | 0.00944730 | + | 0.0123917i | ||||
\(895\) | 22.5325 | 0.753178 | ||||||||
\(896\) | 1.72103 | − | 11.1820i | 0.0574956 | − | 0.373566i | ||||
\(897\) | 10.1268 | 0.338124 | ||||||||
\(898\) | 3.68269 | + | 4.83047i | 0.122893 | + | 0.161195i | ||||
\(899\) | 1.01945 | + | 1.01945i | 0.0340006 | + | 0.0340006i | ||||
\(900\) | −3.42598 | + | 12.4744i | −0.114199 | + | 0.415815i | ||||
\(901\) | −0.253935 | + | 0.253935i | −0.00845981 | + | 0.00845981i | ||||
\(902\) | 0.271481 | − | 2.01360i | 0.00903935 | − | 0.0670456i | ||||
\(903\) | − | 1.04408i | − | 0.0347448i | ||||||
\(904\) | −13.7552 | + | 5.54751i | −0.457491 | + | 0.184508i | ||||
\(905\) | − | 11.5008i | − | 0.382300i | ||||||
\(906\) | 3.06994 | + | 0.413902i | 0.101992 | + | 0.0137510i | ||||
\(907\) | −39.6217 | + | 39.6217i | −1.31562 | + | 1.31562i | −0.398408 | + | 0.917208i | \(0.630437\pi\) |
−0.917208 | + | 0.398408i | \(0.869563\pi\) | |||||||
\(908\) | 29.0636 | − | 16.5392i | 0.964510 | − | 0.548874i | ||||
\(909\) | 7.65297 | + | 7.65297i | 0.253833 | + | 0.253833i | ||||
\(910\) | −11.8700 | + | 9.04954i | −0.393487 | + | 0.299989i | ||||
\(911\) | 11.6260 | 0.385188 | 0.192594 | − | 0.981279i | \(-0.438310\pi\) | ||||
0.192594 | + | 0.981279i | \(0.438310\pi\) | |||||||
\(912\) | −4.35903 | + | 7.33732i | −0.144342 | + | 0.242963i | ||||
\(913\) | 45.0553 | 1.49111 | ||||||||
\(914\) | 31.2464 | − | 23.8219i | 1.03354 | − | 0.787958i | ||||
\(915\) | −4.21178 | − | 4.21178i | −0.139237 | − | 0.139237i | ||||
\(916\) | −13.1193 | − | 23.0539i | −0.433474 | − | 0.761722i | ||||
\(917\) | −2.17911 | + | 2.17911i | −0.0719606 | + | 0.0719606i | ||||
\(918\) | −24.9032 | − | 3.35754i | −0.821928 | − | 0.110815i | ||||
\(919\) | − | 42.1056i | − | 1.38894i | −0.719523 | − | 0.694468i | \(-0.755640\pi\) | ||
0.719523 | − | 0.694468i | \(-0.244360\pi\) | |||||||
\(920\) | −10.8513 | − | 4.61405i | −0.357756 | − | 0.152121i | ||||
\(921\) | − | 8.00224i | − | 0.263683i | ||||||
\(922\) | 1.73943 | − | 12.9015i | 0.0572851 | − | 0.424889i | ||||
\(923\) | −9.57342 | + | 9.57342i | −0.315113 | + | 0.315113i | ||||
\(924\) | 6.20188 | + | 1.70328i | 0.204027 | + | 0.0560339i | ||||
\(925\) | −10.8020 | − | 10.8020i | −0.355167 | − | 0.355167i | ||||
\(926\) | −33.5266 | − | 43.9758i | −1.10175 | − | 1.44513i | ||||
\(927\) | −20.5311 | −0.674331 | ||||||||
\(928\) | −6.07530 | + | 7.66713i | −0.199431 | + | 0.251686i | ||||
\(929\) | 30.3239 | 0.994894 | 0.497447 | − | 0.867494i | \(-0.334271\pi\) | ||||
0.497447 | + | 0.867494i | \(0.334271\pi\) | |||||||
\(930\) | 0.674449 | + | 0.884653i | 0.0221160 | + | 0.0290089i | ||||
\(931\) | 2.55919 | + | 2.55919i | 0.0838742 | + | 0.0838742i | ||||
\(932\) | −47.1319 | − | 12.9443i | −1.54386 | − | 0.424005i | ||||
\(933\) | 7.99802 | − | 7.99802i | 0.261843 | − | 0.261843i | ||||
\(934\) | −4.39909 | + | 32.6284i | −0.143943 | + | 1.06763i | ||||
\(935\) | − | 46.5524i | − | 1.52243i | ||||||
\(936\) | −19.3597 | + | 45.5299i | −0.632792 | + | 1.48819i | ||||
\(937\) | 17.7772i | 0.580757i | 0.956912 | + | 0.290378i | \(0.0937812\pi\) | ||||
−0.956912 | + | 0.290378i | \(0.906219\pi\) | |||||||
\(938\) | 18.8487 | + | 2.54126i | 0.615433 | + | 0.0829751i | ||||
\(939\) | 2.10079 | − | 2.10079i | 0.0685567 | − | 0.0685567i | ||||
\(940\) | 17.0282 | + | 29.9228i | 0.555397 | + | 0.975973i | ||||
\(941\) | −21.1596 | − | 21.1596i | −0.689783 | − | 0.689783i | 0.272401 | − | 0.962184i | \(-0.412182\pi\) |
−0.962184 | + | 0.272401i | \(0.912182\pi\) | |||||||
\(942\) | −3.74622 | + | 2.85607i | −0.122058 | + | 0.0930558i | ||||
\(943\) | −0.686068 | −0.0223415 | ||||||||
\(944\) | 19.7723 | − | 5.03470i | 0.643533 | − | 0.163865i | ||||
\(945\) | 5.33310 | 0.173486 | ||||||||
\(946\) | 10.8652 | − | 8.28347i | 0.353257 | − | 0.269319i | ||||
\(947\) | 11.8498 | + | 11.8498i | 0.385066 | + | 0.385066i | 0.872923 | − | 0.487857i | \(-0.162221\pi\) |
−0.487857 | + | 0.872923i | \(0.662221\pi\) | |||||||
\(948\) | −5.34477 | + | 3.04155i | −0.173590 | + | 0.0987849i | ||||
\(949\) | 25.5664 | − | 25.5664i | 0.829920 | − | 0.829920i | ||||
\(950\) | 12.3695 | + | 1.66771i | 0.401321 | + | 0.0541076i | ||||
\(951\) | 4.60704i | 0.149394i | ||||||||
\(952\) | −5.64113 | − | 13.9873i | −0.182830 | − | 0.453332i | ||||
\(953\) | − | 14.1855i | − | 0.459513i | −0.973248 | − | 0.229757i | \(-0.926207\pi\) | ||
0.973248 | − | 0.229757i | \(-0.0737930\pi\) | |||||||
\(954\) | 0.0337554 | − | 0.250366i | 0.00109287 | − | 0.00810591i | ||||
\(955\) | −23.5309 | + | 23.5309i | −0.761443 | + | 0.761443i | ||||
\(956\) | 3.32451 | − | 12.1050i | 0.107522 | − | 0.391503i | ||||
\(957\) | −3.93220 | − | 3.93220i | −0.127110 | − | 0.127110i | ||||
\(958\) | −31.9444 | − | 41.9004i | −1.03208 | − | 1.35374i | ||||
\(959\) | 8.54650 | 0.275981 | ||||||||
\(960\) | −5.43609 | + | 5.23653i | −0.175449 | + | 0.169008i | ||||
\(961\) | −30.3049 | −0.977578 | ||||||||
\(962\) | −35.4218 | − | 46.4616i | −1.14204 | − | 1.49798i | ||||
\(963\) | 6.19211 | + | 6.19211i | 0.199538 | + | 0.199538i | ||||
\(964\) | 7.95158 | − | 28.9528i | 0.256103 | − | 0.932506i | ||||
\(965\) | −15.1021 | + | 15.1021i | −0.486154 | + | 0.486154i | ||||
\(966\) | 0.290169 | − | 2.15221i | 0.00933603 | − | 0.0692461i | ||||
\(967\) | 8.54873i | 0.274909i | 0.990508 | + | 0.137454i | \(0.0438920\pi\) | ||||
−0.990508 | + | 0.137454i | \(0.956108\pi\) | |||||||
\(968\) | 19.8419 | + | 49.1984i | 0.637743 | + | 1.58130i | ||||
\(969\) | 11.3771i | 0.365485i | ||||||||
\(970\) | −42.1900 | − | 5.68822i | −1.35464 | − | 0.182638i | ||||
\(971\) | −25.5089 | + | 25.5089i | −0.818619 | + | 0.818619i | −0.985908 | − | 0.167289i | \(-0.946499\pi\) |
0.167289 | + | 0.985908i | \(0.446499\pi\) | |||||||
\(972\) | 23.5180 | − | 13.3834i | 0.754341 | − | 0.429273i | ||||
\(973\) | 5.72549 | + | 5.72549i | 0.183551 | + | 0.183551i | ||||
\(974\) | 43.2111 | − | 32.9437i | 1.38457 | − | 1.05558i | ||||
\(975\) | −9.48030 | −0.303613 | ||||||||
\(976\) | −6.23122 | − | 24.4713i | −0.199456 | − | 0.783306i | ||||
\(977\) | 13.2375 | 0.423506 | 0.211753 | − | 0.977323i | \(-0.432083\pi\) | ||||
0.211753 | + | 0.977323i | \(0.432083\pi\) | |||||||
\(978\) | −3.16138 | + | 2.41020i | −0.101090 | + | 0.0770697i | ||||
\(979\) | −24.4025 | − | 24.4025i | −0.779906 | − | 0.779906i | ||||
\(980\) | 1.58315 | + | 2.78199i | 0.0505717 | + | 0.0888673i | ||||
\(981\) | −13.0721 | + | 13.0721i | −0.417359 | + | 0.417359i | ||||
\(982\) | 18.8758 | + | 2.54491i | 0.602352 | + | 0.0812114i | ||||
\(983\) | − | 19.9233i | − | 0.635455i | −0.948182 | − | 0.317727i | \(-0.897080\pi\) | ||
0.948182 | − | 0.317727i | \(-0.102920\pi\) | |||||||
\(984\) | −0.171847 | + | 0.404149i | −0.00547830 | + | 0.0128838i | ||||
\(985\) | 0.440142i | 0.0140241i | ||||||||
\(986\) | −1.74242 | + | 12.9237i | −0.0554899 | + | 0.411573i | ||||
\(987\) | −4.48364 | + | 4.48364i | −0.142716 | + | 0.142716i | ||||
\(988\) | 46.0308 | + | 12.6419i | 1.46444 | + | 0.402193i | ||||
\(989\) | −3.26213 | − | 3.26213i | −0.103730 | − | 0.103730i | ||||
\(990\) | 19.8550 | + | 26.0432i | 0.631033 | + | 0.827706i | ||||
\(991\) | 54.3594 | 1.72678 | 0.863392 | − | 0.504533i | \(-0.168335\pi\) | ||||
0.863392 | + | 0.504533i | \(0.168335\pi\) | |||||||
\(992\) | 0.542661 | + | 4.68484i | 0.0172295 | + | 0.148744i | ||||
\(993\) | −12.2984 | −0.390278 | ||||||||
\(994\) | 1.76029 | + | 2.30891i | 0.0558329 | + | 0.0732343i | ||||
\(995\) | 16.2966 | + | 16.2966i | 0.516638 | + | 0.516638i | ||||
\(996\) | −9.39075 | − | 2.57908i | −0.297557 | − | 0.0817211i | ||||
\(997\) | 14.4032 | − | 14.4032i | 0.456153 | − | 0.456153i | −0.441237 | − | 0.897390i | \(-0.645460\pi\) |
0.897390 | + | 0.441237i | \(0.145460\pi\) | |||||||
\(998\) | −2.61402 | + | 19.3884i | −0.0827452 | + | 0.613728i | ||||
\(999\) | 20.8749i | 0.660452i |
(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 | 112.2.m.d.29.5 | ✓ | 12 | |
4.3 | odd | 2 | 448.2.m.d.337.4 | 12 | |||
7.2 | even | 3 | 784.2.x.l.557.4 | 24 | |||
7.3 | odd | 6 | 784.2.x.m.765.1 | 24 | |||
7.4 | even | 3 | 784.2.x.l.765.1 | 24 | |||
7.5 | odd | 6 | 784.2.x.m.557.4 | 24 | |||
7.6 | odd | 2 | 784.2.m.h.589.5 | 12 | |||
8.3 | odd | 2 | 896.2.m.h.673.3 | 12 | |||
8.5 | even | 2 | 896.2.m.g.673.4 | 12 | |||
16.3 | odd | 4 | 896.2.m.h.225.3 | 12 | |||
16.5 | even | 4 | inner | 112.2.m.d.85.5 | yes | 12 | |
16.11 | odd | 4 | 448.2.m.d.113.4 | 12 | |||
16.13 | even | 4 | 896.2.m.g.225.4 | 12 | |||
32.5 | even | 8 | 7168.2.a.bj.1.6 | 12 | |||
32.11 | odd | 8 | 7168.2.a.bi.1.6 | 12 | |||
32.21 | even | 8 | 7168.2.a.bj.1.7 | 12 | |||
32.27 | odd | 8 | 7168.2.a.bi.1.7 | 12 | |||
112.5 | odd | 12 | 784.2.x.m.165.1 | 24 | |||
112.37 | even | 12 | 784.2.x.l.165.1 | 24 | |||
112.53 | even | 12 | 784.2.x.l.373.4 | 24 | |||
112.69 | odd | 4 | 784.2.m.h.197.5 | 12 | |||
112.101 | odd | 12 | 784.2.x.m.373.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.m.d.29.5 | ✓ | 12 | 1.1 | even | 1 | trivial | |
112.2.m.d.85.5 | yes | 12 | 16.5 | even | 4 | inner | |
448.2.m.d.113.4 | 12 | 16.11 | odd | 4 | |||
448.2.m.d.337.4 | 12 | 4.3 | odd | 2 | |||
784.2.m.h.197.5 | 12 | 112.69 | odd | 4 | |||
784.2.m.h.589.5 | 12 | 7.6 | odd | 2 | |||
784.2.x.l.165.1 | 24 | 112.37 | even | 12 | |||
784.2.x.l.373.4 | 24 | 112.53 | even | 12 | |||
784.2.x.l.557.4 | 24 | 7.2 | even | 3 | |||
784.2.x.l.765.1 | 24 | 7.4 | even | 3 | |||
784.2.x.m.165.1 | 24 | 112.5 | odd | 12 | |||
784.2.x.m.373.4 | 24 | 112.101 | odd | 12 | |||
784.2.x.m.557.4 | 24 | 7.5 | odd | 6 | |||
784.2.x.m.765.1 | 24 | 7.3 | odd | 6 | |||
896.2.m.g.225.4 | 12 | 16.13 | even | 4 | |||
896.2.m.g.673.4 | 12 | 8.5 | even | 2 | |||
896.2.m.h.225.3 | 12 | 16.3 | odd | 4 | |||
896.2.m.h.673.3 | 12 | 8.3 | odd | 2 | |||
7168.2.a.bi.1.6 | 12 | 32.11 | odd | 8 | |||
7168.2.a.bi.1.7 | 12 | 32.27 | odd | 8 | |||
7168.2.a.bj.1.6 | 12 | 32.5 | even | 8 | |||
7168.2.a.bj.1.7 | 12 | 32.21 | even | 8 |