Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (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: | \(2.17991597518\) |
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 | 185.18 | ||
Character | \(\chi\) | \(=\) | 273.185 |
Dual form | 273.2.bf.b.152.18 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.473030 | + | 0.273104i | 0.334483 | + | 0.193114i | 0.657830 | − | 0.753167i | \(-0.271475\pi\) |
−0.323347 | + | 0.946281i | \(0.604808\pi\) | |||||||
\(3\) | −0.966120 | − | 1.43757i | −0.557789 | − | 0.829982i | ||||
\(4\) | −0.850828 | − | 1.47368i | −0.425414 | − | 0.736839i | ||||
\(5\) | 1.25657 | + | 2.17644i | 0.561955 | + | 0.973335i | 0.997326 | + | 0.0730836i | \(0.0232840\pi\) |
−0.435371 | + | 0.900251i | \(0.643383\pi\) | |||||||
\(6\) | −0.0643970 | − | 0.943866i | −0.0262900 | − | 0.385332i | ||||
\(7\) | 2.53535 | − | 0.756296i | 0.958273 | − | 0.285853i | ||||
\(8\) | − | 2.02188i | − | 0.714841i | ||||||
\(9\) | −1.13323 | + | 2.77773i | −0.377742 | + | 0.925911i | ||||
\(10\) | 1.37270i | 0.434085i | ||||||||
\(11\) | − | 6.02763i | − | 1.81740i | −0.417450 | − | 0.908700i | \(-0.637076\pi\) | ||
0.417450 | − | 0.908700i | \(-0.362924\pi\) | |||||||
\(12\) | −1.29652 | + | 2.64688i | −0.374272 | + | 0.764087i | ||||
\(13\) | −1.89716 | − | 3.06607i | −0.526176 | − | 0.850376i | ||||
\(14\) | 1.40585 | + | 0.334664i | 0.375728 | + | 0.0894428i | ||||
\(15\) | 1.91480 | − | 3.90911i | 0.494398 | − | 1.00933i | ||||
\(16\) | −1.14947 | + | 1.99095i | −0.287369 | + | 0.497737i | ||||
\(17\) | 0.323651 | + | 0.560581i | 0.0784970 | + | 0.135961i | 0.902602 | − | 0.430477i | \(-0.141655\pi\) |
−0.824105 | + | 0.566438i | \(0.808321\pi\) | |||||||
\(18\) | −1.29466 | + | 1.00446i | −0.305154 | + | 0.236754i | ||||
\(19\) | − | 2.29555i | − | 0.526636i | −0.964709 | − | 0.263318i | \(-0.915183\pi\) | ||
0.964709 | − | 0.263318i | \(-0.0848168\pi\) | |||||||
\(20\) | 2.13825 | − | 3.70356i | 0.478127 | − | 0.828141i | ||||
\(21\) | −3.53668 | − | 2.91408i | −0.771768 | − | 0.635904i | ||||
\(22\) | 1.64617 | − | 2.85125i | 0.350965 | − | 0.607889i | ||||
\(23\) | 0.894874 | + | 0.516656i | 0.186594 | + | 0.107730i | 0.590387 | − | 0.807120i | \(-0.298975\pi\) |
−0.403793 | + | 0.914850i | \(0.632308\pi\) | |||||||
\(24\) | −2.90659 | + | 1.95337i | −0.593305 | + | 0.398731i | ||||
\(25\) | −0.657937 | + | 1.13958i | −0.131587 | + | 0.227916i | ||||
\(26\) | −0.0600548 | − | 1.96847i | −0.0117777 | − | 0.386048i | ||||
\(27\) | 5.08802 | − | 1.05453i | 0.979190 | − | 0.202944i | ||||
\(28\) | −3.27169 | − | 3.09282i | −0.618291 | − | 0.584487i | ||||
\(29\) | −4.46255 | + | 2.57646i | −0.828676 | + | 0.478436i | −0.853399 | − | 0.521258i | \(-0.825463\pi\) |
0.0247234 | + | 0.999694i | \(0.492129\pi\) | |||||||
\(30\) | 1.97335 | − | 1.32619i | 0.360283 | − | 0.242128i | ||||
\(31\) | 9.25745 | + | 5.34479i | 1.66269 | + | 0.959953i | 0.971424 | + | 0.237351i | \(0.0762792\pi\) |
0.691264 | + | 0.722602i | \(0.257054\pi\) | |||||||
\(32\) | −4.58946 | + | 2.64973i | −0.811310 | + | 0.468410i | ||||
\(33\) | −8.66515 | + | 5.82341i | −1.50841 | + | 1.01373i | ||||
\(34\) | 0.353562i | 0.0606354i | ||||||||
\(35\) | 4.83188 | + | 4.56771i | 0.816738 | + | 0.772084i | ||||
\(36\) | 5.05766 | − | 0.693365i | 0.842944 | − | 0.115561i | ||||
\(37\) | 1.97766 | − | 3.42541i | 0.325126 | − | 0.563134i | −0.656412 | − | 0.754402i | \(-0.727927\pi\) |
0.981538 | + | 0.191268i | \(0.0612601\pi\) | |||||||
\(38\) | 0.626924 | − | 1.08587i | 0.101701 | − | 0.176151i | ||||
\(39\) | −2.57482 | + | 5.68949i | −0.412301 | + | 0.911048i | ||||
\(40\) | 4.40050 | − | 2.54063i | 0.695780 | − | 0.401709i | ||||
\(41\) | 4.48689 | + | 7.77153i | 0.700735 | + | 1.21371i | 0.968209 | + | 0.250143i | \(0.0804778\pi\) |
−0.267474 | + | 0.963565i | \(0.586189\pi\) | |||||||
\(42\) | −0.877112 | − | 2.34433i | −0.135341 | − | 0.361738i | ||||
\(43\) | −4.09951 | + | 7.10056i | −0.625169 | + | 1.08282i | 0.363339 | + | 0.931657i | \(0.381637\pi\) |
−0.988508 | + | 0.151168i | \(0.951697\pi\) | |||||||
\(44\) | −8.88279 | + | 5.12848i | −1.33913 | + | 0.773147i | ||||
\(45\) | −7.46955 | + | 1.02402i | −1.11350 | + | 0.152651i | ||||
\(46\) | 0.282202 | + | 0.488787i | 0.0416084 | + | 0.0720678i | ||||
\(47\) | 2.09646 | + | 3.63118i | 0.305800 | + | 0.529662i | 0.977439 | − | 0.211217i | \(-0.0677426\pi\) |
−0.671639 | + | 0.740879i | \(0.734409\pi\) | |||||||
\(48\) | 3.97266 | − | 0.271042i | 0.573404 | − | 0.0391216i | ||||
\(49\) | 5.85603 | − | 3.83496i | 0.836576 | − | 0.547851i | ||||
\(50\) | −0.622448 | + | 0.359370i | −0.0880274 | + | 0.0508226i | ||||
\(51\) | 0.493189 | − | 1.00686i | 0.0690603 | − | 0.140989i | ||||
\(52\) | −2.90425 | + | 5.40450i | −0.402747 | + | 0.749469i | ||||
\(53\) | 0.0406517 | + | 0.0234703i | 0.00558394 | + | 0.00322389i | 0.502789 | − | 0.864409i | \(-0.332307\pi\) |
−0.497205 | + | 0.867633i | \(0.665640\pi\) | |||||||
\(54\) | 2.69478 | + | 0.890735i | 0.366714 | + | 0.121214i | ||||
\(55\) | 13.1188 | − | 7.57414i | 1.76894 | − | 1.02130i | ||||
\(56\) | −1.52914 | − | 5.12617i | −0.204339 | − | 0.685013i | ||||
\(57\) | −3.30002 | + | 2.21778i | −0.437098 | + | 0.293752i | ||||
\(58\) | −2.81456 | −0.369570 | ||||||||
\(59\) | 0.831148 | + | 1.43959i | 0.108206 | + | 0.187419i | 0.915044 | − | 0.403355i | \(-0.132156\pi\) |
−0.806837 | + | 0.590774i | \(0.798823\pi\) | |||||||
\(60\) | −7.38994 | + | 0.504192i | −0.954037 | + | 0.0650909i | ||||
\(61\) | 3.59276i | 0.460006i | 0.973190 | + | 0.230003i | \(0.0738736\pi\) | ||||
−0.973190 | + | 0.230003i | \(0.926126\pi\) | |||||||
\(62\) | 2.91937 | + | 5.05650i | 0.370760 | + | 0.642176i | ||||
\(63\) | −0.772338 | + | 7.89959i | −0.0973054 | + | 0.995255i | ||||
\(64\) | 1.70329 | 0.212911 | ||||||||
\(65\) | 4.28922 | − | 7.98179i | 0.532013 | − | 0.990019i | ||||
\(66\) | −5.68928 | + | 0.388162i | −0.700302 | + | 0.0477794i | ||||
\(67\) | 1.52251 | 0.186004 | 0.0930020 | − | 0.995666i | \(-0.470354\pi\) | ||||
0.0930020 | + | 0.995666i | \(0.470354\pi\) | |||||||
\(68\) | 0.550743 | − | 0.953916i | 0.0667875 | − | 0.115679i | ||||
\(69\) | −0.121826 | − | 1.78560i | −0.0146661 | − | 0.214961i | ||||
\(70\) | 1.03817 | + | 3.48027i | 0.124085 | + | 0.415972i | ||||
\(71\) | −11.4729 | − | 6.62389i | −1.36158 | − | 0.786111i | −0.371749 | − | 0.928333i | \(-0.621242\pi\) |
−0.989835 | + | 0.142222i | \(0.954575\pi\) | |||||||
\(72\) | 5.61623 | + | 2.29124i | 0.661879 | + | 0.270025i | ||||
\(73\) | 4.76835 | + | 2.75301i | 0.558093 | + | 0.322215i | 0.752380 | − | 0.658730i | \(-0.228906\pi\) |
−0.194287 | + | 0.980945i | \(0.562239\pi\) | |||||||
\(74\) | 1.87099 | − | 1.08022i | 0.217498 | − | 0.125572i | ||||
\(75\) | 2.27387 | − | 0.155139i | 0.262564 | − | 0.0179139i | ||||
\(76\) | −3.38290 | + | 1.95312i | −0.388046 | + | 0.224038i | ||||
\(77\) | −4.55868 | − | 15.2822i | −0.519509 | − | 1.74157i | ||||
\(78\) | −2.77179 | + | 1.98811i | −0.313844 | + | 0.225109i | ||||
\(79\) | −2.14796 | − | 3.72038i | −0.241665 | − | 0.418575i | 0.719524 | − | 0.694468i | \(-0.244360\pi\) |
−0.961189 | + | 0.275892i | \(0.911027\pi\) | |||||||
\(80\) | −5.77758 | −0.645953 | ||||||||
\(81\) | −6.43160 | − | 6.29559i | −0.714622 | − | 0.699511i | ||||
\(82\) | 4.90156i | 0.541286i | ||||||||
\(83\) | −11.8816 | −1.30417 | −0.652085 | − | 0.758146i | \(-0.726106\pi\) | ||||
−0.652085 | + | 0.758146i | \(0.726106\pi\) | |||||||
\(84\) | −1.28530 | + | 7.69132i | −0.140238 | + | 0.839191i | ||||
\(85\) | −0.813381 | + | 1.40882i | −0.0882236 | + | 0.152808i | ||||
\(86\) | −3.87838 | + | 2.23919i | −0.418217 | + | 0.241458i | ||||
\(87\) | 8.01520 | + | 3.92608i | 0.859320 | + | 0.420920i | ||||
\(88\) | −12.1871 | −1.29915 | ||||||||
\(89\) | −0.507769 | + | 0.879481i | −0.0538234 | + | 0.0932248i | −0.891682 | − | 0.452663i | \(-0.850474\pi\) |
0.837858 | + | 0.545888i | \(0.183807\pi\) | |||||||
\(90\) | −3.81299 | − | 1.55558i | −0.401924 | − | 0.163972i | ||||
\(91\) | −7.12882 | − | 6.33877i | −0.747303 | − | 0.664483i | ||||
\(92\) | − | 1.75834i | − | 0.183320i | ||||||
\(93\) | −1.26028 | − | 18.4720i | −0.130685 | − | 1.91545i | ||||
\(94\) | 2.29021i | 0.236217i | ||||||||
\(95\) | 4.99614 | − | 2.88452i | 0.512593 | − | 0.295946i | ||||
\(96\) | 8.24314 | + | 4.03773i | 0.841312 | + | 0.412099i | ||||
\(97\) | 8.58147 | + | 4.95452i | 0.871317 | + | 0.503055i | 0.867786 | − | 0.496939i | \(-0.165543\pi\) |
0.00353111 | + | 0.999994i | \(0.498876\pi\) | |||||||
\(98\) | 3.81742 | − | 0.214744i | 0.385618 | − | 0.0216924i | ||||
\(99\) | 16.7432 | + | 6.83067i | 1.68275 | + | 0.686508i | ||||
\(100\) | 2.23916 | 0.223916 | ||||||||
\(101\) | −5.31728 | −0.529089 | −0.264545 | − | 0.964373i | \(-0.585222\pi\) | ||||
−0.264545 | + | 0.964373i | \(0.585222\pi\) | |||||||
\(102\) | 0.508271 | − | 0.341583i | 0.0503263 | − | 0.0338218i | ||||
\(103\) | 2.41439 | − | 1.39395i | 0.237897 | − | 0.137350i | −0.376313 | − | 0.926493i | \(-0.622808\pi\) |
0.614210 | + | 0.789143i | \(0.289475\pi\) | |||||||
\(104\) | −6.19922 | + | 3.83581i | −0.607883 | + | 0.376132i | ||||
\(105\) | 1.89824 | − | 11.3591i | 0.185249 | − | 1.10854i | ||||
\(106\) | 0.0128197 | + | 0.0222043i | 0.00124515 | + | 0.00215667i | ||||
\(107\) | 16.6485 | + | 9.61203i | 1.60947 | + | 0.929230i | 0.989488 | + | 0.144617i | \(0.0461949\pi\) |
0.619986 | + | 0.784613i | \(0.287138\pi\) | |||||||
\(108\) | −5.88307 | − | 6.60088i | −0.566099 | − | 0.635170i | ||||
\(109\) | −3.02537 | + | 5.24009i | −0.289778 | + | 0.501910i | −0.973757 | − | 0.227592i | \(-0.926915\pi\) |
0.683979 | + | 0.729502i | \(0.260248\pi\) | |||||||
\(110\) | 8.27412 | 0.788906 | ||||||||
\(111\) | −6.83493 | + | 0.466326i | −0.648743 | + | 0.0442617i | ||||
\(112\) | −1.40858 | + | 5.91710i | −0.133098 | + | 0.559113i | ||||
\(113\) | 7.42599 | + | 4.28740i | 0.698578 | + | 0.403324i | 0.806818 | − | 0.590800i | \(-0.201188\pi\) |
−0.108239 | + | 0.994125i | \(0.534521\pi\) | |||||||
\(114\) | −2.16669 | + | 0.147827i | −0.202929 | + | 0.0138452i | ||||
\(115\) | 2.59686i | 0.242158i | ||||||||
\(116\) | 7.59374 | + | 4.38425i | 0.705061 | + | 0.407067i | ||||
\(117\) | 10.6666 | − | 1.79524i | 0.986131 | − | 0.165970i | ||||
\(118\) | 0.907960i | 0.0835845i | ||||||||
\(119\) | 1.24454 | + | 1.17649i | 0.114086 | + | 0.107849i | ||||
\(120\) | −7.90374 | − | 3.87148i | −0.721510 | − | 0.353416i | ||||
\(121\) | −25.3324 | −2.30294 | ||||||||
\(122\) | −0.981198 | + | 1.69949i | −0.0888335 | + | 0.153864i | ||||
\(123\) | 6.83725 | − | 13.9585i | 0.616494 | − | 1.25859i | ||||
\(124\) | − | 18.1900i | − | 1.63351i | ||||||
\(125\) | 9.25873 | 0.828126 | ||||||||
\(126\) | −2.52275 | + | 3.52582i | −0.224744 | + | 0.314105i | ||||
\(127\) | 1.59609 | + | 2.76452i | 0.141630 | + | 0.245311i | 0.928111 | − | 0.372304i | \(-0.121432\pi\) |
−0.786480 | + | 0.617615i | \(0.788099\pi\) | |||||||
\(128\) | 9.98463 | + | 5.76463i | 0.882525 | + | 0.509526i | ||||
\(129\) | 14.1682 | − | 0.966650i | 1.24744 | − | 0.0851088i | ||||
\(130\) | 4.20879 | − | 2.60422i | 0.369135 | − | 0.228405i | ||||
\(131\) | −1.65182 | − | 2.86103i | −0.144320 | − | 0.249969i | 0.784799 | − | 0.619750i | \(-0.212766\pi\) |
−0.929119 | + | 0.369781i | \(0.879433\pi\) | |||||||
\(132\) | 15.9544 | + | 7.81492i | 1.38865 | + | 0.680202i | ||||
\(133\) | −1.73612 | − | 5.82003i | −0.150540 | − | 0.504661i | ||||
\(134\) | 0.720192 | + | 0.415803i | 0.0622151 | + | 0.0359199i | ||||
\(135\) | 8.68858 | + | 9.74870i | 0.747794 | + | 0.839035i | ||||
\(136\) | 1.13342 | − | 0.654383i | 0.0971903 | − | 0.0561129i | ||||
\(137\) | −7.14564 | + | 4.12554i | −0.610493 | + | 0.352468i | −0.773158 | − | 0.634213i | \(-0.781324\pi\) |
0.162665 | + | 0.986681i | \(0.447991\pi\) | |||||||
\(138\) | 0.430027 | − | 0.877912i | 0.0366063 | − | 0.0747329i | ||||
\(139\) | 7.50372 | + | 4.33228i | 0.636457 | + | 0.367459i | 0.783249 | − | 0.621709i | \(-0.213561\pi\) |
−0.146791 | + | 0.989168i | \(0.546895\pi\) | |||||||
\(140\) | 2.62023 | − | 11.0070i | 0.221450 | − | 0.930260i | ||||
\(141\) | 3.19465 | − | 6.52197i | 0.269038 | − | 0.549249i | ||||
\(142\) | −3.61802 | − | 6.26660i | −0.303618 | − | 0.525881i | ||||
\(143\) | −18.4812 | + | 11.4354i | −1.54547 | + | 0.956273i | ||||
\(144\) | −4.22771 | − | 5.44912i | −0.352309 | − | 0.454094i | ||||
\(145\) | −11.2150 | − | 6.47500i | −0.931357 | − | 0.537719i | ||||
\(146\) | 1.50371 | + | 2.60451i | 0.124448 | + | 0.215551i | ||||
\(147\) | −11.1707 | − | 4.71344i | −0.921340 | − | 0.388758i | ||||
\(148\) | −6.73060 | −0.553252 | ||||||||
\(149\) | − | 13.8118i | − | 1.13151i | −0.824574 | − | 0.565753i | \(-0.808585\pi\) | ||
0.824574 | − | 0.565753i | \(-0.191415\pi\) | |||||||
\(150\) | 1.11798 | + | 0.547619i | 0.0912827 | + | 0.0447129i | ||||
\(151\) | −3.90858 | + | 6.76986i | −0.318076 | + | 0.550924i | −0.980087 | − | 0.198571i | \(-0.936370\pi\) |
0.662011 | + | 0.749494i | \(0.269703\pi\) | |||||||
\(152\) | −4.64132 | −0.376461 | ||||||||
\(153\) | −1.92391 | + | 0.263753i | −0.155539 | + | 0.0213232i | ||||
\(154\) | 2.01723 | − | 8.47393i | 0.162553 | − | 0.682848i | ||||
\(155\) | 26.8644i | 2.15780i | ||||||||
\(156\) | 10.5752 | − | 1.04632i | 0.846694 | − | 0.0837730i | ||||
\(157\) | −7.63926 | − | 4.41053i | −0.609679 | − | 0.351999i | 0.163161 | − | 0.986600i | \(-0.447831\pi\) |
−0.772840 | + | 0.634601i | \(0.781164\pi\) | |||||||
\(158\) | − | 2.34647i | − | 0.186675i | ||||||
\(159\) | −0.00553421 | − | 0.0811148i | −0.000438891 | − | 0.00643282i | ||||
\(160\) | −11.5340 | − | 6.65914i | −0.911840 | − | 0.526451i | ||||
\(161\) | 2.65957 | + | 0.633115i | 0.209603 | + | 0.0498964i | ||||
\(162\) | −1.32299 | − | 4.73450i | −0.103944 | − | 0.371978i | ||||
\(163\) | 12.5765 | 0.985066 | 0.492533 | − | 0.870294i | \(-0.336071\pi\) | ||||
0.492533 | + | 0.870294i | \(0.336071\pi\) | |||||||
\(164\) | 7.63515 | − | 13.2245i | 0.596205 | − | 1.03266i | ||||
\(165\) | −23.5627 | − | 11.5417i | −1.83435 | − | 0.898519i | ||||
\(166\) | −5.62034 | − | 3.24490i | −0.436223 | − | 0.251853i | ||||
\(167\) | −6.71323 | − | 11.6277i | −0.519486 | − | 0.899775i | −0.999743 | − | 0.0226481i | \(-0.992790\pi\) |
0.480258 | − | 0.877127i | \(-0.340543\pi\) | |||||||
\(168\) | −5.89191 | + | 7.15074i | −0.454570 | + | 0.551691i | ||||
\(169\) | −5.80160 | + | 11.6336i | −0.446277 | + | 0.894895i | ||||
\(170\) | −0.769508 | + | 0.444276i | −0.0590186 | + | 0.0340744i | ||||
\(171\) | 6.37643 | + | 2.60138i | 0.487618 | + | 0.198932i | ||||
\(172\) | 13.9519 | 1.06382 | ||||||||
\(173\) | −8.44726 | −0.642233 | −0.321116 | − | 0.947040i | \(-0.604058\pi\) | ||||
−0.321116 | + | 0.947040i | \(0.604058\pi\) | |||||||
\(174\) | 2.71921 | + | 4.04614i | 0.206142 | + | 0.306737i | ||||
\(175\) | −0.806242 | + | 3.38683i | −0.0609462 | + | 0.256020i | ||||
\(176\) | 12.0007 | + | 6.92861i | 0.904587 | + | 0.522263i | ||||
\(177\) | 1.26653 | − | 2.58565i | 0.0951980 | − | 0.194350i | ||||
\(178\) | −0.480380 | + | 0.277347i | −0.0360060 | + | 0.0207881i | ||||
\(179\) | − | 12.9185i | − | 0.965577i | −0.875737 | − | 0.482788i | \(-0.839624\pi\) | ||
0.875737 | − | 0.482788i | \(-0.160376\pi\) | |||||||
\(180\) | 7.86438 | + | 10.1365i | 0.586176 | + | 0.755527i | ||||
\(181\) | 1.36110i | 0.101170i | 0.998720 | + | 0.0505848i | \(0.0161085\pi\) | ||||
−0.998720 | + | 0.0505848i | \(0.983891\pi\) | |||||||
\(182\) | −1.64100 | − | 4.94534i | −0.121639 | − | 0.366573i | ||||
\(183\) | 5.16485 | − | 3.47104i | 0.381797 | − | 0.256587i | ||||
\(184\) | 1.04461 | − | 1.80932i | 0.0770099 | − | 0.133385i | ||||
\(185\) | 9.94028 | 0.730824 | ||||||||
\(186\) | 4.44862 | − | 9.08199i | 0.326188 | − | 0.665924i | ||||
\(187\) | 3.37897 | − | 1.95085i | 0.247095 | − | 0.142660i | ||||
\(188\) | 3.56746 | − | 6.17902i | 0.260184 | − | 0.450651i | ||||
\(189\) | 12.1024 | − | 6.52166i | 0.880320 | − | 0.474381i | ||||
\(190\) | 3.15110 | 0.228605 | ||||||||
\(191\) | − | 10.3102i | − | 0.746020i | −0.927827 | − | 0.373010i | \(-0.878326\pi\) | ||
0.927827 | − | 0.373010i | \(-0.121674\pi\) | |||||||
\(192\) | −1.64558 | − | 2.44860i | −0.118760 | − | 0.176713i | ||||
\(193\) | 3.23962 | 0.233193 | 0.116597 | − | 0.993179i | \(-0.462802\pi\) | ||||
0.116597 | + | 0.993179i | \(0.462802\pi\) | |||||||
\(194\) | 2.70620 | + | 4.68727i | 0.194294 | + | 0.336527i | ||||
\(195\) | −15.6183 | + | 1.54529i | −1.11845 | + | 0.110661i | ||||
\(196\) | −10.6340 | − | 5.36702i | −0.759569 | − | 0.383358i | ||||
\(197\) | 11.8813 | − | 6.85965i | 0.846505 | − | 0.488730i | −0.0129653 | − | 0.999916i | \(-0.504127\pi\) |
0.859470 | + | 0.511186i | \(0.170794\pi\) | |||||||
\(198\) | 6.05453 | + | 7.80374i | 0.430277 | + | 0.554587i | ||||
\(199\) | 2.88404 | − | 1.66510i | 0.204444 | − | 0.118036i | −0.394283 | − | 0.918989i | \(-0.629007\pi\) |
0.598727 | + | 0.800953i | \(0.295674\pi\) | |||||||
\(200\) | 2.30409 | + | 1.33027i | 0.162924 | + | 0.0940640i | ||||
\(201\) | −1.47092 | − | 2.18871i | −0.103751 | − | 0.154380i | ||||
\(202\) | −2.51524 | − | 1.45217i | −0.176971 | − | 0.102174i | ||||
\(203\) | −9.36559 | + | 9.90724i | −0.657335 | + | 0.695352i | ||||
\(204\) | −1.90341 | + | 0.129863i | −0.133265 | + | 0.00909226i | ||||
\(205\) | −11.2762 | + | 19.5309i | −0.787563 | + | 1.36410i | ||||
\(206\) | 1.52277 | 0.106096 | ||||||||
\(207\) | −2.44923 | + | 1.90023i | −0.170233 | + | 0.132075i | ||||
\(208\) | 8.28512 | − | 0.252766i | 0.574470 | − | 0.0175262i | ||||
\(209\) | −13.8367 | −0.957107 | ||||||||
\(210\) | 4.00015 | − | 4.85480i | 0.276037 | − | 0.335013i | ||||
\(211\) | −4.67281 | − | 8.09355i | −0.321690 | − | 0.557183i | 0.659147 | − | 0.752014i | \(-0.270917\pi\) |
−0.980837 | + | 0.194831i | \(0.937584\pi\) | |||||||
\(212\) | − | 0.0798766i | − | 0.00548595i | ||||||
\(213\) | 1.56189 | + | 22.8926i | 0.107019 | + | 1.56858i | ||||
\(214\) | 5.25017 | + | 9.09356i | 0.358894 | + | 0.621623i | ||||
\(215\) | −20.6053 | −1.40527 | ||||||||
\(216\) | −2.13213 | − | 10.2873i | −0.145073 | − | 0.699965i | ||||
\(217\) | 27.5132 | + | 6.54956i | 1.86772 | + | 0.444613i | ||||
\(218\) | −2.86218 | + | 1.65248i | −0.193851 | + | 0.111920i | ||||
\(219\) | −0.649150 | − | 9.51457i | −0.0438655 | − | 0.642935i | ||||
\(220\) | −22.3237 | − | 12.8886i | −1.50506 | − | 0.868949i | ||||
\(221\) | 1.10476 | − | 2.05585i | 0.0743145 | − | 0.138291i | ||||
\(222\) | −3.36049 | − | 1.64606i | −0.225541 | − | 0.110476i | ||||
\(223\) | 4.72711 | − | 2.72920i | 0.316550 | − | 0.182760i | −0.333304 | − | 0.942820i | \(-0.608163\pi\) |
0.649854 | + | 0.760059i | \(0.274830\pi\) | |||||||
\(224\) | −9.63193 | + | 10.1890i | −0.643560 | + | 0.680780i | ||||
\(225\) | −2.41986 | − | 3.11897i | −0.161324 | − | 0.207931i | ||||
\(226\) | 2.34181 | + | 4.05614i | 0.155775 | + | 0.269810i | ||||
\(227\) | 11.3923 | + | 19.7320i | 0.756132 | + | 1.30966i | 0.944809 | + | 0.327620i | \(0.106247\pi\) |
−0.188677 | + | 0.982039i | \(0.560420\pi\) | |||||||
\(228\) | 6.07604 | + | 2.97622i | 0.402396 | + | 0.197105i | ||||
\(229\) | −15.1066 | + | 8.72181i | −0.998273 | + | 0.576353i | −0.907737 | − | 0.419540i | \(-0.862191\pi\) |
−0.0905364 | + | 0.995893i | \(0.528858\pi\) | |||||||
\(230\) | −0.709212 | + | 1.22839i | −0.0467641 | + | 0.0809977i | ||||
\(231\) | −17.5650 | + | 21.3178i | −1.15569 | + | 1.40261i | ||||
\(232\) | 5.20928 | + | 9.02273i | 0.342006 | + | 0.592371i | ||||
\(233\) | −1.62211 | + | 0.936526i | −0.106268 | + | 0.0613538i | −0.552192 | − | 0.833717i | \(-0.686208\pi\) |
0.445924 | + | 0.895071i | \(0.352875\pi\) | |||||||
\(234\) | 5.53593 | + | 2.06390i | 0.361895 | + | 0.134921i | ||||
\(235\) | −5.26870 | + | 9.12566i | −0.343692 | + | 0.595292i | ||||
\(236\) | 1.41433 | − | 2.44969i | 0.0920650 | − | 0.159461i | ||||
\(237\) | −3.27312 | + | 6.68218i | −0.212612 | + | 0.434054i | ||||
\(238\) | 0.267398 | + | 0.896405i | 0.0173328 | + | 0.0581053i | ||||
\(239\) | − | 23.7791i | − | 1.53814i | −0.639164 | − | 0.769071i | \(-0.720719\pi\) | ||
0.639164 | − | 0.769071i | \(-0.279281\pi\) | |||||||
\(240\) | 5.58183 | + | 8.30568i | 0.360306 | + | 0.536130i | ||||
\(241\) | −18.0905 | + | 10.4446i | −1.16531 | + | 0.672795i | −0.952572 | − | 0.304314i | \(-0.901573\pi\) |
−0.212743 | + | 0.977108i | \(0.568240\pi\) | |||||||
\(242\) | −11.9830 | − | 6.91837i | −0.770295 | − | 0.444730i | ||||
\(243\) | −2.83667 | + | 15.3282i | −0.181973 | + | 0.983304i | ||||
\(244\) | 5.29457 | − | 3.05682i | 0.338950 | − | 0.195693i | ||||
\(245\) | 15.7051 | + | 7.92643i | 1.00336 | + | 0.506401i | ||||
\(246\) | 7.04634 | − | 4.73549i | 0.449258 | − | 0.301924i | ||||
\(247\) | −7.03833 | + | 4.35502i | −0.447838 | + | 0.277103i | ||||
\(248\) | 10.8065 | − | 18.7174i | 0.686214 | − | 1.18856i | ||||
\(249\) | 11.4790 | + | 17.0806i | 0.727453 | + | 1.08244i | ||||
\(250\) | 4.37966 | + | 2.52860i | 0.276994 | + | 0.159922i | ||||
\(251\) | 10.1622 | − | 17.6015i | 0.641433 | − | 1.11100i | −0.343680 | − | 0.939087i | \(-0.611673\pi\) |
0.985113 | − | 0.171908i | \(-0.0549932\pi\) | |||||||
\(252\) | 12.2986 | − | 5.58302i | 0.774737 | − | 0.351697i | ||||
\(253\) | 3.11421 | − | 5.39397i | 0.195789 | − | 0.339116i | ||||
\(254\) | 1.74360i | 0.109403i | ||||||||
\(255\) | 2.81110 | − | 0.191793i | 0.176038 | − | 0.0120105i | ||||
\(256\) | 1.44540 | + | 2.50350i | 0.0903374 | + | 0.156469i | ||||
\(257\) | −11.9462 | + | 20.6914i | −0.745183 | + | 1.29069i | 0.204926 | + | 0.978777i | \(0.434304\pi\) |
−0.950109 | + | 0.311917i | \(0.899029\pi\) | |||||||
\(258\) | 6.96597 | + | 3.41213i | 0.433683 | + | 0.212430i | ||||
\(259\) | 2.42345 | − | 10.1803i | 0.150586 | − | 0.632575i | ||||
\(260\) | −15.4120 | + | 0.470195i | −0.955810 | + | 0.0291603i | ||||
\(261\) | −2.09963 | − | 15.3155i | −0.129964 | − | 0.948005i | ||||
\(262\) | − | 1.80447i | − | 0.111481i | ||||||
\(263\) | 1.61574i | 0.0996308i | 0.998758 | + | 0.0498154i | \(0.0158633\pi\) | ||||
−0.998758 | + | 0.0498154i | \(0.984137\pi\) | |||||||
\(264\) | 11.7742 | + | 17.5199i | 0.724653 | + | 1.07827i | ||||
\(265\) | 0.117968i | 0.00724672i | ||||||||
\(266\) | 0.768239 | − | 3.22719i | 0.0471038 | − | 0.197872i | ||||
\(267\) | 1.75488 | − | 0.119730i | 0.107397 | − | 0.00732736i | ||||
\(268\) | −1.29539 | − | 2.24369i | −0.0791287 | − | 0.137055i | ||||
\(269\) | −8.22623 | − | 14.2482i | −0.501562 | − | 0.868731i | −0.999998 | − | 0.00180469i | \(-0.999426\pi\) |
0.498436 | − | 0.866926i | \(-0.333908\pi\) | |||||||
\(270\) | 1.44755 | + | 6.98432i | 0.0880951 | + | 0.425052i | ||||
\(271\) | −0.531956 | − | 0.307125i | −0.0323140 | − | 0.0186565i | 0.483756 | − | 0.875203i | \(-0.339272\pi\) |
−0.516070 | + | 0.856546i | \(0.672606\pi\) | |||||||
\(272\) | −1.48812 | −0.0902302 | ||||||||
\(273\) | −2.22514 | + | 16.3722i | −0.134672 | + | 0.990890i | ||||
\(274\) | −4.50681 | −0.272266 | ||||||||
\(275\) | 6.86897 | + | 3.96580i | 0.414214 | + | 0.239147i | ||||
\(276\) | −2.52774 | + | 1.69877i | −0.152152 | + | 0.102254i | ||||
\(277\) | 4.83367 | + | 8.37217i | 0.290427 | + | 0.503035i | 0.973911 | − | 0.226931i | \(-0.0728692\pi\) |
−0.683484 | + | 0.729966i | \(0.739536\pi\) | |||||||
\(278\) | 2.36633 | + | 4.09860i | 0.141923 | + | 0.245817i | ||||
\(279\) | −25.3372 | + | 19.6579i | −1.51690 | + | 1.17689i | ||||
\(280\) | 9.23535 | − | 9.76947i | 0.551918 | − | 0.583837i | ||||
\(281\) | − | 4.25154i | − | 0.253625i | −0.991927 | − | 0.126813i | \(-0.959525\pi\) | ||
0.991927 | − | 0.126813i | \(-0.0404747\pi\) | |||||||
\(282\) | 3.29234 | − | 2.21262i | 0.196056 | − | 0.131759i | ||||
\(283\) | 13.4666i | 0.800506i | 0.916405 | + | 0.400253i | \(0.131078\pi\) | ||||
−0.916405 | + | 0.400253i | \(0.868922\pi\) | |||||||
\(284\) | 22.5432i | 1.33769i | ||||||||
\(285\) | −8.97357 | − | 4.39551i | −0.531549 | − | 0.260368i | ||||
\(286\) | −11.8652 | + | 0.361988i | −0.701603 | + | 0.0214048i | ||||
\(287\) | 17.2534 | + | 16.3101i | 1.01844 | + | 0.962757i | ||||
\(288\) | −2.15934 | − | 15.7510i | −0.127240 | − | 0.928139i | ||||
\(289\) | 8.29050 | − | 14.3596i | 0.487676 | − | 0.844680i | ||||
\(290\) | −3.53670 | − | 6.12574i | −0.207682 | − | 0.359716i | ||||
\(291\) | −1.16826 | − | 17.1231i | −0.0684845 | − | 1.00378i | ||||
\(292\) | − | 9.36934i | − | 0.548299i | ||||||
\(293\) | 6.93842 | − | 12.0177i | 0.405347 | − | 0.702081i | −0.589015 | − | 0.808122i | \(-0.700484\pi\) |
0.994362 | + | 0.106041i | \(0.0338174\pi\) | |||||||
\(294\) | −3.99680 | − | 5.28035i | −0.233098 | − | 0.307956i | ||||
\(295\) | −2.08879 | + | 3.61789i | −0.121614 | + | 0.210642i | ||||
\(296\) | −6.92575 | − | 3.99859i | −0.402551 | − | 0.232413i | ||||
\(297\) | −6.35632 | − | 30.6687i | −0.368831 | − | 1.77958i | ||||
\(298\) | 3.77206 | − | 6.53340i | 0.218510 | − | 0.378470i | ||||
\(299\) | −0.113611 | − | 3.72392i | −0.00657030 | − | 0.215360i | ||||
\(300\) | −2.16330 | − | 3.21896i | −0.124898 | − | 0.185847i | ||||
\(301\) | −5.02358 | + | 21.1029i | −0.289554 | + | 1.21635i | ||||
\(302\) | −3.69776 | + | 2.13490i | −0.212782 | + | 0.122850i | ||||
\(303\) | 5.13713 | + | 7.64397i | 0.295120 | + | 0.439135i | ||||
\(304\) | 4.57032 | + | 2.63868i | 0.262126 | + | 0.151338i | ||||
\(305\) | −7.81944 | + | 4.51456i | −0.447740 | + | 0.258503i | ||||
\(306\) | −0.982101 | − | 0.400666i | −0.0561430 | − | 0.0229045i | ||||
\(307\) | 19.0928i | 1.08969i | 0.838538 | + | 0.544843i | \(0.183411\pi\) | ||||
−0.838538 | + | 0.544843i | \(0.816589\pi\) | |||||||
\(308\) | −18.6424 | + | 19.7205i | −1.06225 | + | 1.12368i | ||||
\(309\) | −4.33649 | − | 2.12414i | −0.246694 | − | 0.120838i | ||||
\(310\) | −7.33679 | + | 12.7077i | −0.416702 | + | 0.721748i | ||||
\(311\) | −1.31104 | + | 2.27079i | −0.0743423 | + | 0.128765i | −0.900800 | − | 0.434234i | \(-0.857019\pi\) |
0.826458 | + | 0.562999i | \(0.190352\pi\) | |||||||
\(312\) | 11.5034 | + | 5.20597i | 0.651254 | + | 0.294730i | ||||
\(313\) | 3.15245 | − | 1.82007i | 0.178187 | − | 0.102876i | −0.408253 | − | 0.912869i | \(-0.633862\pi\) |
0.586441 | + | 0.809992i | \(0.300529\pi\) | |||||||
\(314\) | −2.40907 | − | 4.17263i | −0.135952 | − | 0.235475i | ||||
\(315\) | −18.1635 | + | 8.24544i | −1.02340 | + | 0.464578i | ||||
\(316\) | −3.65509 | + | 6.33081i | −0.205615 | + | 0.356136i | ||||
\(317\) | −14.6674 | + | 8.46825i | −0.823805 | + | 0.475624i | −0.851727 | − | 0.523986i | \(-0.824444\pi\) |
0.0279217 | + | 0.999610i | \(0.491111\pi\) | |||||||
\(318\) | 0.0195349 | − | 0.0398812i | 0.00109546 | − | 0.00223642i | ||||
\(319\) | 15.5299 | + | 26.8986i | 0.869510 | + | 1.50603i | ||||
\(320\) | 2.14030 | + | 3.70711i | 0.119647 | + | 0.207234i | ||||
\(321\) | −2.26648 | − | 33.2198i | −0.126503 | − | 1.85415i | ||||
\(322\) | 1.08515 | + | 1.02582i | 0.0604730 | + | 0.0571668i | ||||
\(323\) | 1.28684 | − | 0.742958i | 0.0716018 | − | 0.0413393i | ||||
\(324\) | −3.80549 | + | 14.8346i | −0.211416 | + | 0.824143i | ||||
\(325\) | 4.74224 | − | 0.144678i | 0.263052 | − | 0.00802531i | ||||
\(326\) | 5.94905 | + | 3.43469i | 0.329488 | + | 0.190230i | ||||
\(327\) | 10.4559 | − | 0.713372i | 0.578211 | − | 0.0394496i | ||||
\(328\) | 15.7131 | − | 9.07194i | 0.867608 | − | 0.500914i | ||||
\(329\) | 8.06152 | + | 7.62077i | 0.444446 | + | 0.420147i | ||||
\(330\) | −7.99379 | − | 11.8946i | −0.440044 | − | 0.654778i | ||||
\(331\) | −10.4278 | −0.573166 | −0.286583 | − | 0.958055i | \(-0.592519\pi\) | ||||
−0.286583 | + | 0.958055i | \(0.592519\pi\) | |||||||
\(332\) | 10.1092 | + | 17.5096i | 0.554813 | + | 0.960964i | ||||
\(333\) | 7.27374 | + | 9.37518i | 0.398599 | + | 0.513757i | ||||
\(334\) | − | 7.33365i | − | 0.401279i | ||||||
\(335\) | 1.91314 | + | 3.31365i | 0.104526 | + | 0.181044i | ||||
\(336\) | 9.86711 | − | 3.69169i | 0.538295 | − | 0.201398i | ||||
\(337\) | 18.5940 | 1.01288 | 0.506440 | − | 0.862275i | \(-0.330961\pi\) | ||||
0.506440 | + | 0.862275i | \(0.330961\pi\) | |||||||
\(338\) | −5.92153 | + | 3.91862i | −0.322089 | + | 0.213145i | ||||
\(339\) | −1.01095 | − | 14.8175i | −0.0549075 | − | 0.804778i | ||||
\(340\) | 2.76819 | 0.150126 | ||||||||
\(341\) | 32.2165 | − | 55.8005i | 1.74462 | − | 3.02177i | ||||
\(342\) | 2.30580 | + | 2.97196i | 0.124683 | + | 0.160705i | ||||
\(343\) | 11.9467 | − | 14.1519i | 0.645064 | − | 0.764129i | ||||
\(344\) | 14.3564 | + | 8.28870i | 0.774048 | + | 0.446897i | ||||
\(345\) | 3.73317 | − | 2.50887i | 0.200987 | − | 0.135073i | ||||
\(346\) | −3.99581 | − | 2.30698i | −0.214816 | − | 0.124024i | ||||
\(347\) | 6.55263 | − | 3.78316i | 0.351763 | − | 0.203091i | −0.313698 | − | 0.949523i | \(-0.601568\pi\) |
0.665462 | + | 0.746432i | \(0.268235\pi\) | |||||||
\(348\) | −1.03379 | − | 15.1522i | −0.0554170 | − | 0.812246i | ||||
\(349\) | −23.2338 | + | 13.4141i | −1.24368 | + | 0.718038i | −0.969841 | − | 0.243738i | \(-0.921626\pi\) |
−0.273837 | + | 0.961776i | \(0.588293\pi\) | |||||||
\(350\) | −1.30633 | + | 1.38189i | −0.0698265 | + | 0.0738649i | ||||
\(351\) | −12.8860 | − | 13.5996i | −0.687806 | − | 0.725895i | ||||
\(352\) | 15.9716 | + | 27.6636i | 0.851288 | + | 1.47447i | ||||
\(353\) | −12.8501 | −0.683940 | −0.341970 | − | 0.939711i | \(-0.611094\pi\) | ||||
−0.341970 | + | 0.939711i | \(0.611094\pi\) | |||||||
\(354\) | 1.30526 | − | 0.877198i | 0.0693737 | − | 0.0466226i | ||||
\(355\) | − | 33.2935i | − | 1.76704i | ||||||
\(356\) | 1.72810 | 0.0915889 | ||||||||
\(357\) | 0.488924 | − | 2.92574i | 0.0258766 | − | 0.154847i | ||||
\(358\) | 3.52811 | − | 6.11086i | 0.186466 | − | 0.322969i | ||||
\(359\) | −14.4330 | + | 8.33290i | −0.761745 | + | 0.439794i | −0.829922 | − | 0.557880i | \(-0.811615\pi\) |
0.0681770 | + | 0.997673i | \(0.478282\pi\) | |||||||
\(360\) | 2.07043 | + | 15.1025i | 0.109121 | + | 0.795972i | ||||
\(361\) | 13.7304 | 0.722655 | ||||||||
\(362\) | −0.371722 | + | 0.643841i | −0.0195373 | + | 0.0338395i | ||||
\(363\) | 24.4741 | + | 36.4171i | 1.28456 | + | 1.91140i | ||||
\(364\) | −3.27590 | + | 15.8988i | −0.171704 | + | 0.833323i | ||||
\(365\) | 13.8374i | 0.724282i | ||||||||
\(366\) | 3.39109 | − | 0.231363i | 0.177255 | − | 0.0120936i | ||||
\(367\) | − | 27.1720i | − | 1.41837i | −0.705023 | − | 0.709184i | \(-0.749063\pi\) | ||
0.705023 | − | 0.709184i | \(-0.250937\pi\) | |||||||
\(368\) | −2.05727 | + | 1.18776i | −0.107243 | + | 0.0619165i | ||||
\(369\) | −26.6719 | + | 3.65650i | −1.38848 | + | 0.190350i | ||||
\(370\) | 4.70205 | + | 2.71473i | 0.244448 | + | 0.141132i | ||||
\(371\) | 0.120817 | + | 0.0287607i | 0.00627250 | + | 0.00149318i | ||||
\(372\) | −26.1494 | + | 17.5737i | −1.35579 | + | 0.911155i | ||||
\(373\) | −17.0879 | −0.884780 | −0.442390 | − | 0.896823i | \(-0.645869\pi\) | ||||
−0.442390 | + | 0.896823i | \(0.645869\pi\) | |||||||
\(374\) | 2.13114 | 0.110199 | ||||||||
\(375\) | −8.94504 | − | 13.3101i | −0.461920 | − | 0.687330i | ||||
\(376\) | 7.34179 | − | 4.23879i | 0.378624 | − | 0.218599i | ||||
\(377\) | 16.3658 | + | 8.79458i | 0.842880 | + | 0.452944i | ||||
\(378\) | 7.50589 | + | 0.220273i | 0.386061 | + | 0.0113296i | ||||
\(379\) | −11.4321 | − | 19.8010i | −0.587229 | − | 1.01711i | −0.994594 | − | 0.103845i | \(-0.966886\pi\) |
0.407365 | − | 0.913266i | \(-0.366448\pi\) | |||||||
\(380\) | −8.50171 | − | 4.90846i | −0.436128 | − | 0.251799i | ||||
\(381\) | 2.43217 | − | 4.96535i | 0.124604 | − | 0.254383i | ||||
\(382\) | 2.81576 | − | 4.87703i | 0.144067 | − | 0.249531i | ||||
\(383\) | −8.52108 | −0.435407 | −0.217703 | − | 0.976015i | \(-0.569857\pi\) | ||||
−0.217703 | + | 0.976015i | \(0.569857\pi\) | |||||||
\(384\) | −1.35928 | − | 19.9230i | −0.0693655 | − | 1.01669i | ||||
\(385\) | 27.5325 | − | 29.1248i | 1.40319 | − | 1.48434i | ||||
\(386\) | 1.53244 | + | 0.884754i | 0.0779991 | + | 0.0450328i | ||||
\(387\) | −15.0778 | − | 19.4339i | −0.766447 | − | 0.987879i | ||||
\(388\) | − | 16.8618i | − | 0.856027i | ||||||
\(389\) | −11.0480 | − | 6.37855i | −0.560155 | − | 0.323406i | 0.193053 | − | 0.981188i | \(-0.438161\pi\) |
−0.753208 | + | 0.657783i | \(0.771494\pi\) | |||||||
\(390\) | −7.80995 | − | 3.53445i | −0.395472 | − | 0.178974i | ||||
\(391\) | 0.668865i | 0.0338260i | ||||||||
\(392\) | −7.75380 | − | 11.8402i | −0.391626 | − | 0.598019i | ||||
\(393\) | −2.51708 | + | 5.13870i | −0.126970 | + | 0.259213i | ||||
\(394\) | 7.49359 | 0.377522 | ||||||||
\(395\) | 5.39813 | − | 9.34983i | 0.271609 | − | 0.470441i | ||||
\(396\) | −4.17935 | − | 30.4857i | −0.210020 | − | 1.53197i | ||||
\(397\) | 3.89299i | 0.195384i | 0.995217 | + | 0.0976918i | \(0.0311459\pi\) | ||||
−0.995217 | + | 0.0976918i | \(0.968854\pi\) | |||||||
\(398\) | 1.81898 | 0.0911773 | ||||||||
\(399\) | −6.68942 | + | 8.11864i | −0.334890 | + | 0.406440i | ||||
\(400\) | −1.51256 | − | 2.61983i | −0.0756281 | − | 0.130992i | ||||
\(401\) | −19.1034 | − | 11.0293i | −0.953977 | − | 0.550779i | −0.0596628 | − | 0.998219i | \(-0.519003\pi\) |
−0.894314 | + | 0.447440i | \(0.852336\pi\) | |||||||
\(402\) | −0.0980450 | − | 1.43704i | −0.00489004 | − | 0.0716732i | ||||
\(403\) | −1.17530 | − | 38.5239i | −0.0585461 | − | 1.91901i | ||||
\(404\) | 4.52409 | + | 7.83596i | 0.225082 | + | 0.389854i | ||||
\(405\) | 5.62025 | − | 21.9089i | 0.279272 | − | 1.08866i | ||||
\(406\) | −7.13591 | + | 2.12864i | −0.354150 | + | 0.105643i | ||||
\(407\) | −20.6471 | − | 11.9206i | −1.02344 | − | 0.590883i | ||||
\(408\) | −2.03575 | − | 0.997167i | −0.100784 | − | 0.0493671i | ||||
\(409\) | 7.43125 | − | 4.29044i | 0.367452 | − | 0.212148i | −0.304893 | − | 0.952387i | \(-0.598621\pi\) |
0.672345 | + | 0.740238i | \(0.265287\pi\) | |||||||
\(410\) | −10.6680 | + | 6.15915i | −0.526853 | + | 0.304179i | ||||
\(411\) | 12.8343 | + | 6.28661i | 0.633069 | + | 0.310096i | ||||
\(412\) | −4.10846 | − | 2.37202i | −0.202409 | − | 0.116861i | ||||
\(413\) | 3.19601 | + | 3.02128i | 0.157265 | + | 0.148667i | ||||
\(414\) | −1.67752 | + | 0.229974i | −0.0824456 | + | 0.0113026i | ||||
\(415\) | −14.9300 | − | 25.8595i | −0.732886 | − | 1.26940i | ||||
\(416\) | 16.8312 | + | 9.04468i | 0.825217 | + | 0.443452i | ||||
\(417\) | −1.02154 | − | 14.9726i | −0.0500248 | − | 0.733213i | ||||
\(418\) | −6.54520 | − | 3.77887i | −0.320136 | − | 0.184831i | ||||
\(419\) | 12.5477 | + | 21.7332i | 0.612994 | + | 1.06174i | 0.990733 | + | 0.135825i | \(0.0433684\pi\) |
−0.377739 | + | 0.925912i | \(0.623298\pi\) | |||||||
\(420\) | −18.3548 | + | 6.86729i | −0.895622 | + | 0.335089i | ||||
\(421\) | −11.9143 | −0.580668 | −0.290334 | − | 0.956925i | \(-0.593766\pi\) | ||||
−0.290334 | + | 0.956925i | \(0.593766\pi\) | |||||||
\(422\) | − | 5.10466i | − | 0.248491i | ||||||
\(423\) | −12.4622 | + | 1.70847i | −0.605933 | + | 0.0830685i | ||||
\(424\) | 0.0474539 | − | 0.0821926i | 0.00230457 | − | 0.00399163i | ||||
\(425\) | −0.851768 | −0.0413168 | ||||||||
\(426\) | −5.51324 | + | 11.2555i | −0.267117 | + | 0.545328i | ||||
\(427\) | 2.71719 | + | 9.10892i | 0.131494 | + | 0.440812i | ||||
\(428\) | − | 32.7127i | − | 1.58123i | ||||||
\(429\) | 34.2942 | + | 15.5201i | 1.65574 | + | 0.749316i | ||||
\(430\) | −9.74692 | − | 5.62739i | −0.470038 | − | 0.271377i | ||||
\(431\) | 28.8820i | 1.39119i | 0.718432 | + | 0.695597i | \(0.244860\pi\) | ||||
−0.718432 | + | 0.695597i | \(0.755140\pi\) | |||||||
\(432\) | −3.74904 | + | 11.3421i | −0.180376 | + | 0.545699i | ||||
\(433\) | −6.48299 | − | 3.74296i | −0.311553 | − | 0.179875i | 0.336068 | − | 0.941838i | \(-0.390903\pi\) |
−0.647621 | + | 0.761963i | \(0.724236\pi\) | |||||||
\(434\) | 11.2258 | + | 10.6121i | 0.538858 | + | 0.509397i | ||||
\(435\) | 1.52678 | + | 22.3780i | 0.0732036 | + | 1.07294i | ||||
\(436\) | 10.2963 | 0.493102 | ||||||||
\(437\) | 1.18601 | − | 2.05423i | 0.0567345 | − | 0.0982671i | ||||
\(438\) | 2.29140 | − | 4.67797i | 0.109487 | − | 0.223522i | ||||
\(439\) | −8.85143 | − | 5.11037i | −0.422456 | − | 0.243905i | 0.273672 | − | 0.961823i | \(-0.411762\pi\) |
−0.696127 | + | 0.717918i | \(0.745095\pi\) | |||||||
\(440\) | −15.3140 | − | 26.5246i | −0.730065 | − | 1.26451i | ||||
\(441\) | 4.01628 | + | 20.6124i | 0.191251 | + | 0.981541i | ||||
\(442\) | 1.08405 | − | 0.670762i | 0.0515629 | − | 0.0319049i | ||||
\(443\) | 26.2992 | − | 15.1839i | 1.24951 | − | 0.721407i | 0.278501 | − | 0.960436i | \(-0.410162\pi\) |
0.971012 | + | 0.239029i | \(0.0768291\pi\) | |||||||
\(444\) | 6.50257 | + | 9.67572i | 0.308598 | + | 0.459190i | ||||
\(445\) | −2.55219 | −0.120985 | ||||||||
\(446\) | 2.98142 | 0.141174 | ||||||||
\(447\) | −19.8555 | + | 13.3439i | −0.939131 | + | 0.631143i | ||||
\(448\) | 4.31844 | − | 1.28819i | 0.204027 | − | 0.0608613i | ||||
\(449\) | 19.0172 | + | 10.9796i | 0.897478 | + | 0.518159i | 0.876381 | − | 0.481618i | \(-0.159951\pi\) |
0.0210967 | + | 0.999777i | \(0.493284\pi\) | |||||||
\(450\) | −0.292861 | − | 2.13624i | −0.0138056 | − | 0.100703i | ||||
\(451\) | 46.8439 | − | 27.0453i | 2.20579 | − | 1.27352i | ||||
\(452\) | − | 14.5914i | − | 0.686320i | ||||||
\(453\) | 13.5083 | − | 0.921631i | 0.634676 | − | 0.0433020i | ||||
\(454\) | 12.4451i | 0.584078i | ||||||||
\(455\) | 4.83810 | − | 23.4806i | 0.226814 | − | 1.10079i | ||||
\(456\) | 4.48407 | + | 6.67223i | 0.209986 | + | 0.312456i | ||||
\(457\) | −18.0285 | + | 31.2263i | −0.843338 | + | 1.46070i | 0.0437182 | + | 0.999044i | \(0.486080\pi\) |
−0.887057 | + | 0.461661i | \(0.847254\pi\) | |||||||
\(458\) | −9.52785 | −0.445207 | ||||||||
\(459\) | 2.23789 | + | 2.51095i | 0.104456 | + | 0.117201i | ||||
\(460\) | 3.82693 | − | 2.20948i | 0.178431 | − | 0.103017i | ||||
\(461\) | −4.57076 | + | 7.91680i | −0.212882 | + | 0.368722i | −0.952615 | − | 0.304178i | \(-0.901618\pi\) |
0.739734 | + | 0.672900i | \(0.234952\pi\) | |||||||
\(462\) | −14.1308 | + | 5.28691i | −0.657423 | + | 0.245969i | ||||
\(463\) | 22.1372 | 1.02880 | 0.514401 | − | 0.857550i | \(-0.328014\pi\) | ||||
0.514401 | + | 0.857550i | \(0.328014\pi\) | |||||||
\(464\) | − | 11.8463i | − | 0.549950i | ||||||
\(465\) | 38.6195 | − | 25.9543i | 1.79094 | − | 1.20360i | ||||
\(466\) | −1.02308 | −0.0473931 | ||||||||
\(467\) | 0.315959 | + | 0.547257i | 0.0146208 | + | 0.0253240i | 0.873243 | − | 0.487285i | \(-0.162013\pi\) |
−0.858622 | + | 0.512609i | \(0.828679\pi\) | |||||||
\(468\) | −11.7211 | − | 14.1917i | −0.541807 | − | 0.656014i | ||||
\(469\) | 3.86009 | − | 1.15147i | 0.178243 | − | 0.0531698i | ||||
\(470\) | −4.98451 | + | 2.87781i | −0.229918 | + | 0.132743i | ||||
\(471\) | 1.03999 | + | 15.2431i | 0.0479201 | + | 0.702364i | ||||
\(472\) | 2.91067 | − | 1.68048i | 0.133975 | − | 0.0773503i | ||||
\(473\) | 42.7996 | + | 24.7103i | 1.96793 | + | 1.13618i | ||||
\(474\) | −3.37322 | + | 2.26697i | −0.154937 | + | 0.104125i | ||||
\(475\) | 2.61596 | + | 1.51033i | 0.120029 | + | 0.0692986i | ||||
\(476\) | 0.674886 | − | 2.83504i | 0.0309334 | − | 0.129944i | ||||
\(477\) | −0.111262 | + | 0.0863224i | −0.00509432 | + | 0.00395243i | ||||
\(478\) | 6.49417 | − | 11.2482i | 0.297036 | − | 0.514482i | ||||
\(479\) | 22.3302 | 1.02029 | 0.510146 | − | 0.860088i | \(-0.329591\pi\) | ||||
0.510146 | + | 0.860088i | \(0.329591\pi\) | |||||||
\(480\) | 1.57020 | + | 23.0144i | 0.0716696 | + | 1.05046i | ||||
\(481\) | −14.2545 | + | 0.434882i | −0.649949 | + | 0.0198289i | ||||
\(482\) | −11.4098 | −0.519704 | ||||||||
\(483\) | −1.65931 | − | 4.43498i | −0.0755013 | − | 0.201799i | ||||
\(484\) | 21.5535 | + | 37.3317i | 0.979704 | + | 1.69690i | ||||
\(485\) | 24.9028i | 1.13078i | ||||||||
\(486\) | −5.52802 | + | 6.47599i | −0.250756 | + | 0.293757i | ||||
\(487\) | 20.1441 | + | 34.8907i | 0.912817 | + | 1.58105i | 0.810066 | + | 0.586339i | \(0.199431\pi\) |
0.102752 | + | 0.994707i | \(0.467235\pi\) | |||||||
\(488\) | 7.26412 | 0.328831 | ||||||||
\(489\) | −12.1504 | − | 18.0796i | −0.549459 | − | 0.817587i | ||||
\(490\) | 5.26424 | + | 8.03856i | 0.237814 | + | 0.363145i | ||||
\(491\) | −6.70526 | + | 3.87128i | −0.302604 | + | 0.174709i | −0.643612 | − | 0.765352i | \(-0.722565\pi\) |
0.341008 | + | 0.940060i | \(0.389232\pi\) | |||||||
\(492\) | −26.3876 | + | 1.80034i | −1.18964 | + | 0.0811657i | ||||
\(493\) | −2.88862 | − | 1.66775i | −0.130097 | − | 0.0751116i | ||||
\(494\) | −4.51871 | + | 0.137859i | −0.203307 | + | 0.00620256i | ||||
\(495\) | 6.17239 | + | 45.0237i | 0.277428 | + | 2.02367i | ||||
\(496\) | −21.2824 | + | 12.2874i | −0.955608 | + | 0.551721i | ||||
\(497\) | −34.0975 | − | 8.11698i | −1.52948 | − | 0.364096i | ||||
\(498\) | 0.765137 | + | 11.2146i | 0.0342866 | + | 0.502538i | ||||
\(499\) | −7.94320 | − | 13.7580i | −0.355587 | − | 0.615894i | 0.631632 | − | 0.775269i | \(-0.282386\pi\) |
−0.987218 | + | 0.159375i | \(0.949052\pi\) | |||||||
\(500\) | −7.87759 | − | 13.6444i | −0.352296 | − | 0.610195i | ||||
\(501\) | −10.2298 | + | 20.8845i | −0.457034 | + | 0.933049i | ||||
\(502\) | 9.61407 | − | 5.55069i | 0.429097 | − | 0.247739i | ||||
\(503\) | −14.9743 | + | 25.9362i | −0.667671 | + | 1.15644i | 0.310883 | + | 0.950448i | \(0.399375\pi\) |
−0.978554 | + | 0.205992i | \(0.933958\pi\) | |||||||
\(504\) | 15.9720 | + | 1.56157i | 0.711449 | + | 0.0695579i | ||||
\(505\) | −6.68154 | − | 11.5728i | −0.297325 | − | 0.514981i | ||||
\(506\) | 2.94623 | − | 1.70101i | 0.130976 | − | 0.0756190i | ||||
\(507\) | 22.3292 | − | 2.89926i | 0.991676 | − | 0.128761i | ||||
\(508\) | 2.71600 | − | 4.70426i | 0.120503 | − | 0.208718i | ||||
\(509\) | 3.30037 | − | 5.71641i | 0.146286 | − | 0.253376i | −0.783566 | − | 0.621309i | \(-0.786601\pi\) |
0.929852 | + | 0.367933i | \(0.119935\pi\) | |||||||
\(510\) | 1.38211 | + | 0.676999i | 0.0612011 | + | 0.0299780i | ||||
\(511\) | 14.1715 | + | 3.37356i | 0.626912 | + | 0.149238i | ||||
\(512\) | − | 21.4795i | − | 0.949271i | ||||||
\(513\) | −2.42073 | − | 11.6798i | −0.106878 | − | 0.515676i | ||||
\(514\) | −11.3018 | + | 6.52511i | −0.498502 | + | 0.287810i | ||||
\(515\) | 6.06769 | + | 3.50318i | 0.267375 | + | 0.154369i | ||||
\(516\) | −13.4792 | − | 20.0569i | −0.593389 | − | 0.882955i | ||||
\(517\) | 21.8874 | − | 12.6367i | 0.962607 | − | 0.555762i | ||||
\(518\) | 3.92665 | − | 4.15375i | 0.172527 | − | 0.182505i | ||||
\(519\) | 8.16106 | + | 12.1435i | 0.358231 | + | 0.533042i | ||||
\(520\) | −16.1382 | − | 8.67228i | −0.707706 | − | 0.380304i | ||||
\(521\) | −11.1062 | + | 19.2365i | −0.486570 | + | 0.842764i | −0.999881 | − | 0.0154387i | \(-0.995086\pi\) |
0.513311 | + | 0.858203i | \(0.328419\pi\) | |||||||
\(522\) | 3.18954 | − | 7.81811i | 0.139602 | − | 0.342189i | ||||
\(523\) | −22.8268 | − | 13.1791i | −0.998147 | − | 0.576280i | −0.0904472 | − | 0.995901i | \(-0.528830\pi\) |
−0.907699 | + | 0.419621i | \(0.862163\pi\) | |||||||
\(524\) | −2.81082 | + | 4.86849i | −0.122791 | + | 0.212681i | ||||
\(525\) | 5.64774 | − | 2.11305i | 0.246488 | − | 0.0922212i | ||||
\(526\) | −0.441265 | + | 0.764294i | −0.0192401 | + | 0.0333248i | ||||
\(527\) | 6.91940i | 0.301414i | ||||||||
\(528\) | −1.63374 | − | 23.9457i | −0.0710995 | − | 1.04210i | ||||
\(529\) | −10.9661 | − | 18.9939i | −0.476788 | − | 0.825822i | ||||
\(530\) | −0.0322176 | + | 0.0558025i | −0.00139944 | + | 0.00242390i | ||||
\(531\) | −4.94068 | + | 0.677327i | −0.214407 | + | 0.0293935i | ||||
\(532\) | −7.09972 | + | 7.51033i | −0.307812 | + | 0.325614i | ||||
\(533\) | 15.3157 | − | 28.5009i | 0.663398 | − | 1.23451i | ||||
\(534\) | 0.862811 | + | 0.422630i | 0.0373375 | + | 0.0182890i | ||||
\(535\) | 48.3127i | 2.08874i | ||||||||
\(536\) | − | 3.07832i | − | 0.132963i | ||||||
\(537\) | −18.5713 | + | 12.4809i | −0.801412 | + | 0.538588i | ||||
\(538\) | − | 8.98647i | − | 0.387434i | ||||||
\(539\) | −23.1157 | − | 35.2980i | −0.995664 | − | 1.52039i | ||||
\(540\) | 6.97395 | − | 21.0986i | 0.300111 | − | 0.907941i | ||||
\(541\) | 7.27566 | + | 12.6018i | 0.312805 | + | 0.541794i | 0.978968 | − | 0.204012i | \(-0.0653981\pi\) |
−0.666164 | + | 0.745806i | \(0.732065\pi\) | |||||||
\(542\) | −0.167754 | − | 0.290559i | −0.00720566 | − | 0.0124806i | ||||
\(543\) | 1.95668 | − | 1.31498i | 0.0839691 | − | 0.0564314i | ||||
\(544\) | −2.97077 | − | 1.71518i | −0.127371 | − | 0.0735376i | ||||
\(545\) | −15.2064 | −0.651369 | ||||||||
\(546\) | −5.52387 | + | 7.13685i | −0.236400 | + | 0.305429i | ||||
\(547\) | 13.3560 | 0.571060 | 0.285530 | − | 0.958370i | \(-0.407830\pi\) | ||||
0.285530 | + | 0.958370i | \(0.407830\pi\) | |||||||
\(548\) | 12.1594 | + | 7.02025i | 0.519425 | + | 0.299890i | ||||
\(549\) | −9.97973 | − | 4.07141i | −0.425925 | − | 0.173764i | ||||
\(550\) | 2.16615 | + | 3.75189i | 0.0923651 | + | 0.159981i | ||||
\(551\) | 5.91439 | + | 10.2440i | 0.251961 | + | 0.436410i | ||||
\(552\) | −3.61025 | + | 0.246316i | −0.153663 | + | 0.0104839i | ||||
\(553\) | −8.25955 | − | 7.80798i | −0.351232 | − | 0.332029i | ||||
\(554\) | 5.28038i | 0.224342i | ||||||||
\(555\) | −9.60350 | − | 14.2899i | −0.407646 | − | 0.606571i | ||||
\(556\) | − | 14.7441i | − | 0.625289i | ||||||
\(557\) | 21.4071i | 0.907046i | 0.891245 | + | 0.453523i | \(0.149833\pi\) | ||||
−0.891245 | + | 0.453523i | \(0.850167\pi\) | |||||||
\(558\) | −17.3539 | + | 2.37908i | −0.734649 | + | 0.100714i | ||||
\(559\) | 29.5482 | − | 0.901470i | 1.24976 | − | 0.0381281i | ||||
\(560\) | −14.6482 | + | 4.36956i | −0.619000 | + | 0.184648i | ||||
\(561\) | −6.06898 | − | 2.97276i | −0.256233 | − | 0.125510i | ||||
\(562\) | 1.16111 | − | 2.01111i | 0.0489786 | − | 0.0848334i | ||||
\(563\) | 14.7814 | + | 25.6022i | 0.622963 | + | 1.07900i | 0.988931 | + | 0.148376i | \(0.0474045\pi\) |
−0.365969 | + | 0.930627i | \(0.619262\pi\) | |||||||
\(564\) | −12.3294 | + | 0.841195i | −0.519160 | + | 0.0354207i | ||||
\(565\) | 21.5497i | 0.906601i | ||||||||
\(566\) | −3.67778 | + | 6.37011i | −0.154589 | + | 0.267756i | ||||
\(567\) | −21.0677 | − | 11.0974i | −0.884761 | − | 0.466045i | ||||
\(568\) | −13.3927 | + | 23.1968i | −0.561944 | + | 0.973316i | ||||
\(569\) | 23.8838 | + | 13.7893i | 1.00126 | + | 0.578078i | 0.908621 | − | 0.417622i | \(-0.137136\pi\) |
0.0926389 | + | 0.995700i | \(0.470470\pi\) | |||||||
\(570\) | −3.04434 | − | 4.52993i | −0.127513 | − | 0.189738i | ||||
\(571\) | 17.4312 | − | 30.1918i | 0.729475 | − | 1.26349i | −0.227630 | − | 0.973748i | \(-0.573098\pi\) |
0.957105 | − | 0.289740i | \(-0.0935689\pi\) | |||||||
\(572\) | 32.5763 | + | 17.5057i | 1.36208 | + | 0.731952i | ||||
\(573\) | −14.8216 | + | 9.96088i | −0.619183 | + | 0.416122i | ||||
\(574\) | 3.70703 | + | 12.4272i | 0.154728 | + | 0.518700i | ||||
\(575\) | −1.17754 | + | 0.679853i | −0.0491068 | + | 0.0283518i | ||||
\(576\) | −1.93021 | + | 4.73128i | −0.0804255 | + | 0.197137i | ||||
\(577\) | −9.56438 | − | 5.52200i | −0.398170 | − | 0.229884i | 0.287524 | − | 0.957773i | \(-0.407168\pi\) |
−0.685694 | + | 0.727890i | \(0.740501\pi\) | |||||||
\(578\) | 7.84331 | − | 4.52834i | 0.326239 | − | 0.188354i | ||||
\(579\) | −3.12986 | − | 4.65719i | −0.130073 | − | 0.193546i | ||||
\(580\) | 22.0364i | 0.915014i | ||||||||
\(581\) | −30.1240 | + | 8.98598i | −1.24975 | + | 0.372801i | ||||
\(582\) | 4.12378 | − | 8.41882i | 0.170936 | − | 0.348971i | ||||
\(583\) | 0.141470 | − | 0.245033i | 0.00585909 | − | 0.0101482i | ||||
\(584\) | 5.56624 | − | 9.64100i | 0.230332 | − | 0.398948i | ||||
\(585\) | 17.3106 | + | 20.9595i | 0.715706 | + | 0.866568i | ||||
\(586\) | 6.56417 | − | 3.78982i | 0.271163 | − | 0.156556i | ||||
\(587\) | −12.6832 | − | 21.9680i | −0.523493 | − | 0.906717i | −0.999626 | − | 0.0273434i | \(-0.991295\pi\) |
0.476133 | − | 0.879373i | \(-0.342038\pi\) | |||||||
\(588\) | 2.55822 | + | 20.4723i | 0.105499 | + | 0.844262i | ||||
\(589\) | 12.2692 | − | 21.2510i | 0.505546 | − | 0.875631i | ||||
\(590\) | −1.97612 | + | 1.14092i | −0.0813557 | + | 0.0469707i | ||||
\(591\) | −21.3400 | − | 10.4529i | −0.877808 | − | 0.429976i | ||||
\(592\) | 4.54654 | + | 7.87484i | 0.186862 | + | 0.323654i | ||||
\(593\) | −5.88143 | − | 10.1869i | −0.241521 | − | 0.418327i | 0.719627 | − | 0.694361i | \(-0.244313\pi\) |
−0.961148 | + | 0.276034i | \(0.910980\pi\) | |||||||
\(594\) | 5.36903 | − | 16.2432i | 0.220294 | − | 0.666465i | ||||
\(595\) | −0.996725 | + | 4.18701i | −0.0408618 | + | 0.171651i | ||||
\(596\) | −20.3541 | + | 11.7515i | −0.833738 | + | 0.481359i | ||||
\(597\) | −5.18002 | − | 2.53732i | −0.212004 | − | 0.103846i | ||||
\(598\) | 0.963278 | − | 1.79256i | 0.0393913 | − | 0.0733031i | ||||
\(599\) | −39.8531 | − | 23.0092i | −1.62835 | − | 0.940131i | −0.984584 | − | 0.174911i | \(-0.944036\pi\) |
−0.643770 | − | 0.765219i | \(-0.722631\pi\) | |||||||
\(600\) | −0.313672 | − | 4.59749i | −0.0128056 | − | 0.187692i | ||||
\(601\) | −26.1034 | + | 15.0708i | −1.06478 | + | 0.614751i | −0.926751 | − | 0.375677i | \(-0.877410\pi\) |
−0.138030 | + | 0.990428i | \(0.544077\pi\) | |||||||
\(602\) | −8.13958 | + | 8.61033i | −0.331745 | + | 0.350931i | ||||
\(603\) | −1.72534 | + | 4.22912i | −0.0702614 | + | 0.172223i | ||||
\(604\) | 13.3021 | 0.541256 | ||||||||
\(605\) | −31.8319 | − | 55.1344i | −1.29415 | − | 2.24153i | ||||
\(606\) | 0.342417 | + | 5.01880i | 0.0139097 | + | 0.203875i | ||||
\(607\) | 36.2573i | 1.47164i | 0.677179 | + | 0.735818i | \(0.263202\pi\) | ||||
−0.677179 | + | 0.735818i | \(0.736798\pi\) | |||||||
\(608\) | 6.08259 | + | 10.5353i | 0.246681 | + | 0.427265i | ||||
\(609\) | 23.2907 | + | 3.89212i | 0.943785 | + | 0.157717i | ||||
\(610\) | −4.93178 | −0.199682 | ||||||||
\(611\) | 7.15614 | − | 13.3168i | 0.289507 | − | 0.538741i | ||||
\(612\) | 2.02561 | + | 2.61082i | 0.0818803 | + | 0.105536i | ||||
\(613\) | 33.6982 | 1.36106 | 0.680530 | − | 0.732721i | \(-0.261750\pi\) | ||||
0.680530 | + | 0.732721i | \(0.261750\pi\) | |||||||
\(614\) | −5.21433 | + | 9.03149i | −0.210433 | + | 0.364481i | ||||
\(615\) | 38.9713 | − | 2.65889i | 1.57147 | − | 0.107217i | ||||
\(616\) | −30.8987 | + | 9.21707i | −1.24494 | + | 0.371367i | ||||
\(617\) | 6.51889 | + | 3.76368i | 0.262441 | + | 0.151520i | 0.625447 | − | 0.780266i | \(-0.284916\pi\) |
−0.363007 | + | 0.931786i | \(0.618250\pi\) | |||||||
\(618\) | −1.47118 | − | 2.18909i | −0.0591795 | − | 0.0880582i | ||||
\(619\) | −39.6473 | − | 22.8904i | −1.59356 | − | 0.920043i | −0.992689 | − | 0.120697i | \(-0.961487\pi\) |
−0.600871 | − | 0.799346i | \(-0.705179\pi\) | |||||||
\(620\) | 39.5895 | − | 22.8570i | 1.58995 | − | 0.917960i | ||||
\(621\) | 5.09797 | + | 1.68508i | 0.204574 | + | 0.0676201i | ||||
\(622\) | −1.24032 | + | 0.716101i | −0.0497325 | + | 0.0287130i | ||||
\(623\) | −0.622225 | + | 2.61382i | −0.0249289 | + | 0.104720i | ||||
\(624\) | −8.36779 | − | 11.6663i | −0.334980 | − | 0.467024i | ||||
\(625\) | 14.9239 | + | 25.8490i | 0.596957 | + | 1.03396i | ||||
\(626\) | 1.98828 | 0.0794675 | ||||||||
\(627\) | 13.3679 | + | 19.8913i | 0.533864 | + | 0.794382i | ||||
\(628\) | 15.0104i | 0.598981i | ||||||||
\(629\) | 2.56029 | 0.102086 | ||||||||
\(630\) | −10.8437 | − | 1.06019i | −0.432025 | − | 0.0422388i | ||||
\(631\) | −14.0226 | + | 24.2878i | −0.558230 | + | 0.966882i | 0.439415 | + | 0.898284i | \(0.355186\pi\) |
−0.997644 | + | 0.0685980i | \(0.978147\pi\) | |||||||
\(632\) | −7.52214 | + | 4.34291i | −0.299215 | + | 0.172752i | ||||
\(633\) | −7.12056 | + | 14.5368i | −0.283017 | + | 0.577788i | ||||
\(634\) | −9.25085 | −0.367398 | ||||||||
\(635\) | −4.01121 | + | 6.94761i | −0.159180 | + | 0.275708i | ||||
\(636\) | −0.114828 | + | 0.0771704i | −0.00455324 | + | 0.00306001i | ||||
\(637\) | −22.8681 | − | 10.6795i | −0.906065 | − | 0.423138i | ||||
\(638\) | 16.9652i | 0.671657i | ||||||||
\(639\) | 31.4008 | − | 24.3623i | 1.24220 | − | 0.963759i | ||||
\(640\) | 28.9746i | 1.14532i | ||||||||
\(641\) | −0.799986 | + | 0.461872i | −0.0315975 | + | 0.0182428i | −0.515716 | − | 0.856760i | \(-0.672474\pi\) |
0.484118 | + | 0.875003i | \(0.339141\pi\) | |||||||
\(642\) | 8.00035 | − | 16.3330i | 0.315749 | − | 0.644611i | ||||
\(643\) | 6.72532 | + | 3.88286i | 0.265221 | + | 0.153125i | 0.626714 | − | 0.779250i | \(-0.284400\pi\) |
−0.361493 | + | 0.932375i | \(0.617733\pi\) | |||||||
\(644\) | −1.32983 | − | 4.45802i | −0.0524025 | − | 0.175670i | ||||
\(645\) | 19.9072 | + | 29.6216i | 0.783844 | + | 1.16635i | ||||
\(646\) | 0.811620 | 0.0319328 | ||||||||
\(647\) | 24.2168 | 0.952061 | 0.476030 | − | 0.879429i | \(-0.342075\pi\) | ||||
0.476030 | + | 0.879429i | \(0.342075\pi\) | |||||||
\(648\) | −12.7289 | + | 13.0039i | −0.500039 | + | 0.510841i | ||||
\(649\) | 8.67733 | − | 5.00986i | 0.340615 | − | 0.196654i | ||||
\(650\) | 2.28274 | + | 1.22669i | 0.0895363 | + | 0.0481147i | ||||
\(651\) | −17.1655 | − | 45.8798i | −0.672771 | − | 1.79817i | ||||
\(652\) | −10.7004 | − | 18.5337i | −0.419061 | − | 0.725835i | ||||
\(653\) | −31.2511 | − | 18.0428i | −1.22295 | − | 0.706070i | −0.257404 | − | 0.966304i | \(-0.582867\pi\) |
−0.965546 | + | 0.260234i | \(0.916200\pi\) | |||||||
\(654\) | 5.14077 | + | 2.51810i | 0.201020 | + | 0.0984654i | ||||
\(655\) | 4.15124 | − | 7.19017i | 0.162203 | − | 0.280943i | ||||
\(656\) | −20.6303 | −0.805477 | ||||||||
\(657\) | −13.0507 | + | 10.1254i | −0.509157 | + | 0.395030i | ||||
\(658\) | 1.73208 | + | 5.80649i | 0.0675234 | + | 0.226361i | ||||
\(659\) | 10.7491 | + | 6.20598i | 0.418724 | + | 0.241751i | 0.694531 | − | 0.719462i | \(-0.255612\pi\) |
−0.275807 | + | 0.961213i | \(0.588945\pi\) | |||||||
\(660\) | 3.03909 | + | 44.5438i | 0.118296 | + | 1.73387i | ||||
\(661\) | 28.4702i | 1.10736i | 0.832728 | + | 0.553682i | \(0.186778\pi\) | ||||
−0.832728 | + | 0.553682i | \(0.813222\pi\) | |||||||
\(662\) | −4.93268 | − | 2.84789i | −0.191714 | − | 0.110686i | ||||
\(663\) | −4.02276 | + | 0.398017i | −0.156231 | + | 0.0154577i | ||||
\(664\) | 24.0230i | 0.932275i | ||||||||
\(665\) | 10.4854 | − | 11.0918i | 0.406607 | − | 0.430123i | ||||
\(666\) | 0.880299 | + | 6.42123i | 0.0341109 | + | 0.248818i | ||||
\(667\) | −5.32456 | −0.206168 | ||||||||
\(668\) | −11.4236 | + | 19.7863i | −0.441993 | + | 0.765554i | ||||
\(669\) | −8.49036 | − | 4.15882i | −0.328256 | − | 0.160789i | ||||
\(670\) | 2.08994i | 0.0807415i | ||||||||
\(671\) | 21.6559 | 0.836015 | ||||||||
\(672\) | 23.9530 | + | 4.00281i | 0.924007 | + | 0.154412i | ||||
\(673\) | 5.65042 | + | 9.78682i | 0.217808 | + | 0.377254i | 0.954137 | − | 0.299369i | \(-0.0967761\pi\) |
−0.736330 | + | 0.676623i | \(0.763443\pi\) | |||||||
\(674\) | 8.79553 | + | 5.07810i | 0.338791 | + | 0.195601i | ||||
\(675\) | −2.14588 | + | 6.49202i | −0.0825948 | + | 0.249878i | ||||
\(676\) | 22.0804 | − | 1.34853i | 0.849246 | − | 0.0518666i | ||||
\(677\) | 6.45592 | + | 11.1820i | 0.248121 | + | 0.429758i | 0.963004 | − | 0.269485i | \(-0.0868536\pi\) |
−0.714883 | + | 0.699244i | \(0.753520\pi\) | |||||||
\(678\) | 3.56852 | − | 7.28524i | 0.137048 | − | 0.279788i | ||||
\(679\) | 25.5041 | + | 6.07131i | 0.978759 | + | 0.232996i | ||||
\(680\) | 2.84845 | + | 1.64456i | 0.109233 | + | 0.0630658i | ||||
\(681\) | 17.3599 | − | 35.4407i | 0.665232 | − | 1.35809i | ||||
\(682\) | 30.4787 | − | 17.5969i | 1.16709 | − | 0.673820i | ||||
\(683\) | 7.62396 | − | 4.40170i | 0.291723 | − | 0.168426i | −0.346996 | − | 0.937867i | \(-0.612798\pi\) |
0.638719 | + | 0.769440i | \(0.279465\pi\) | |||||||
\(684\) | −1.59165 | − | 11.6101i | −0.0608584 | − | 0.443924i | ||||
\(685\) | −17.9580 | − | 10.3681i | −0.686140 | − | 0.396143i | ||||
\(686\) | 9.51610 | − | 3.43155i | 0.363327 | − | 0.131017i | ||||
\(687\) | 27.1330 | + | 13.2905i | 1.03519 | + | 0.507066i | ||||
\(688\) | −9.42456 | − | 16.3238i | −0.359308 | − | 0.622340i | ||||
\(689\) | −0.00516104 | − | 0.169168i | −0.000196620 | − | 0.00644478i | ||||
\(690\) | 2.45108 | − | 0.167230i | 0.0933112 | − | 0.00636633i | ||||
\(691\) | −18.3482 | − | 10.5934i | −0.698000 | − | 0.402990i | 0.108602 | − | 0.994085i | \(-0.465363\pi\) |
−0.806602 | + | 0.591095i | \(0.798696\pi\) | |||||||
\(692\) | 7.18716 | + | 12.4485i | 0.273215 | + | 0.473222i | ||||
\(693\) | 47.6158 | + | 4.65537i | 1.80878 | + | 0.176843i | ||||
\(694\) | 4.13279 | 0.156878 | ||||||||
\(695\) | 21.7752i | 0.825982i | ||||||||
\(696\) | 7.93804 | − | 16.2057i | 0.300891 | − | 0.614277i | ||||
\(697\) | −2.90438 | + | 5.03053i | −0.110011 | + | 0.190545i | ||||
\(698\) | −14.6537 | −0.554652 | ||||||||
\(699\) | 2.91348 | + | 1.42710i | 0.110198 | + | 0.0539780i | ||||
\(700\) | 5.67707 | − | 1.69347i | 0.214573 | − | 0.0640072i | ||||
\(701\) | 39.6954i | 1.49927i | 0.661849 | + | 0.749637i | \(0.269772\pi\) | ||||
−0.661849 | + | 0.749637i | \(0.730228\pi\) | |||||||
\(702\) | −2.38137 | − | 9.95227i | −0.0898789 | − | 0.375624i | ||||
\(703\) | −7.86321 | − | 4.53982i | −0.296566 | − | 0.171223i | ||||
\(704\) | − | 10.2668i | − | 0.386945i | ||||||
\(705\) | 18.2090 | − | 1.24234i | 0.685790 | − | 0.0467893i | ||||
\(706\) | −6.07847 | − | 3.50941i | −0.228766 | − | 0.132078i | ||||
\(707\) | −13.4812 | + | 4.02144i | −0.507012 | + | 0.151242i | ||||
\(708\) | −4.88802 | + | 0.333494i | −0.183703 | + | 0.0125335i | ||||
\(709\) | −9.11397 | −0.342282 | −0.171141 | − | 0.985247i | \(-0.554745\pi\) | ||||
−0.171141 | + | 0.985247i | \(0.554745\pi\) | |||||||
\(710\) | 9.09260 | − | 15.7488i | 0.341239 | − | 0.591043i | ||||
\(711\) | 12.7683 | − | 1.75044i | 0.478850 | − | 0.0656465i | ||||
\(712\) | 1.77820 | + | 1.02664i | 0.0666409 | + | 0.0384751i | ||||
\(713\) | 5.52284 | + | 9.56583i | 0.206832 | + | 0.358243i | ||||
\(714\) | 1.03031 | − | 1.25044i | 0.0385583 | − | 0.0467965i | ||||
\(715\) | −48.1113 | − | 25.8539i | −1.79926 | − | 0.966880i | ||||
\(716\) | −19.0378 | + | 10.9915i | −0.711474 | + | 0.410770i | ||||
\(717\) | −34.1841 | + | 22.9734i | −1.27663 | + | 0.857959i | ||||
\(718\) | −9.10300 | −0.339721 | ||||||||
\(719\) | 10.9246 | 0.407418 | 0.203709 | − | 0.979032i | \(-0.434700\pi\) | ||||
0.203709 | + | 0.979032i | \(0.434700\pi\) | |||||||
\(720\) | 6.54730 | − | 16.0486i | 0.244003 | − | 0.598095i | ||||
\(721\) | 5.06709 | − | 5.36014i | 0.188708 | − | 0.199622i | ||||
\(722\) | 6.49492 | + | 3.74984i | 0.241716 | + | 0.139555i | ||||
\(723\) | 32.4925 | + | 15.9157i | 1.20841 | + | 0.591913i | ||||
\(724\) | 2.00582 | − | 1.15806i | 0.0745458 | − | 0.0430390i | ||||
\(725\) | − | 6.78058i | − | 0.251824i | ||||||
\(726\) | 1.63133 | + | 23.9104i | 0.0605443 | + | 0.887397i | ||||
\(727\) | − | 45.7930i | − | 1.69837i | −0.528098 | − | 0.849183i | \(-0.677095\pi\) | ||
0.528098 | − | 0.849183i | \(-0.322905\pi\) | |||||||
\(728\) | −12.8162 | + | 14.4136i | −0.475000 | + | 0.534203i | ||||
\(729\) | 24.7759 | − | 10.7309i | 0.917627 | − | 0.397442i | ||||
\(730\) | −3.77905 | + | 6.54550i | −0.139869 | + | 0.242260i | ||||
\(731\) | −5.30725 | −0.196296 | ||||||||
\(732\) | −9.50960 | − | 4.65807i | −0.351485 | − | 0.172167i | ||||
\(733\) | 17.4750 | − | 10.0892i | 0.645455 | − | 0.372654i | −0.141258 | − | 0.989973i | \(-0.545115\pi\) |
0.786713 | + | 0.617319i | \(0.211781\pi\) | |||||||
\(734\) | 7.42079 | − | 12.8532i | 0.273906 | − | 0.474420i | ||||
\(735\) | −3.77817 | − | 30.2351i | −0.139360 | − | 1.11524i | ||||
\(736\) | −5.47599 | −0.201848 | ||||||||
\(737\) | − | 9.17712i | − | 0.338043i | ||||||
\(738\) | −13.6152 | − | 5.55457i | −0.501183 | − | 0.204466i | ||||
\(739\) | −48.5659 | −1.78652 | −0.893262 | − | 0.449536i | \(-0.851589\pi\) | ||||
−0.893262 | + | 0.449536i | \(0.851589\pi\) | |||||||
\(740\) | −8.45747 | − | 14.6488i | −0.310903 | − | 0.538500i | ||||
\(741\) | 13.0605 | + | 5.91063i | 0.479790 | + | 0.217132i | ||||
\(742\) | 0.0492954 | + | 0.0466003i | 0.00180969 | + | 0.00171075i | ||||
\(743\) | −6.39543 | + | 3.69241i | −0.234626 | + | 0.135461i | −0.612704 | − | 0.790312i | \(-0.709918\pi\) |
0.378078 | + | 0.925774i | \(0.376585\pi\) | |||||||
\(744\) | −37.3480 | + | 2.54814i | −1.36924 | + | 0.0934193i | ||||
\(745\) | 30.0606 | − | 17.3555i | 1.10134 | − | 0.635856i | ||||
\(746\) | −8.08311 | − | 4.66678i | −0.295944 | − | 0.170863i | ||||
\(747\) | 13.4645 | − | 33.0038i | 0.492640 | − | 1.20755i | ||||
\(748\) | −5.74985 | − | 3.31968i | −0.210235 | − | 0.121380i | ||||
\(749\) | 49.4794 | + | 11.7787i | 1.80794 | + | 0.430383i | ||||
\(750\) | −0.596235 | − | 8.73900i | −0.0217714 | − | 0.319103i | ||||
\(751\) | 11.5832 | − | 20.0627i | 0.422676 | − | 0.732097i | −0.573524 | − | 0.819189i | \(-0.694424\pi\) |
0.996200 | + | 0.0870918i | \(0.0277573\pi\) | |||||||
\(752\) | −9.63931 | −0.351510 | ||||||||
\(753\) | −35.1213 | + | 2.39622i | −1.27989 | + | 0.0873230i | ||||
\(754\) | 5.33967 | + | 8.62966i | 0.194459 | + | 0.314274i | ||||
\(755\) | −19.6456 | −0.714978 | ||||||||
\(756\) | −19.9079 | − | 12.2862i | −0.724043 | − | 0.446846i | ||||
\(757\) | −19.9604 | − | 34.5725i | −0.725475 | − | 1.25656i | −0.958778 | − | 0.284155i | \(-0.908287\pi\) |
0.233304 | − | 0.972404i | \(-0.425046\pi\) | |||||||
\(758\) | − | 12.4886i | − | 0.453608i | ||||||
\(759\) | −10.7629 | + | 0.734320i | −0.390669 | + | 0.0266541i | ||||
\(760\) | −5.83214 | − | 10.1016i | −0.211554 | − | 0.366422i | ||||
\(761\) | −7.97685 | −0.289161 | −0.144580 | − | 0.989493i | \(-0.546183\pi\) | ||||
−0.144580 | + | 0.989493i | \(0.546183\pi\) | |||||||
\(762\) | 2.50655 | − | 1.68453i | 0.0908027 | − | 0.0610239i | ||||
\(763\) | −3.70732 | + | 15.5736i | −0.134214 | + | 0.563801i | ||||
\(764\) | −15.1939 | + | 8.77221i | −0.549696 | + | 0.317367i | ||||
\(765\) | −2.99157 | − | 3.85586i | −0.108161 | − | 0.139409i | ||||
\(766\) | −4.03073 | − | 2.32714i | −0.145636 | − | 0.0840830i | ||||
\(767\) | 2.83707 | − | 5.27949i | 0.102441 | − | 0.190631i | ||||
\(768\) | 2.20254 | − | 4.49655i | 0.0794773 | − | 0.162255i | ||||
\(769\) | −8.79268 | + | 5.07646i | −0.317072 | + | 0.183062i | −0.650087 | − | 0.759860i | \(-0.725267\pi\) |
0.333015 | + | 0.942922i | \(0.391934\pi\) | |||||||
\(770\) | 20.9778 | − | 6.25768i | 0.755988 | − | 0.225511i | ||||
\(771\) | 41.2868 | − | 2.81687i | 1.48691 | − | 0.101447i | ||||
\(772\) | −2.75636 | − | 4.77416i | −0.0992036 | − | 0.171826i | ||||
\(773\) | 8.69927 | + | 15.0676i | 0.312891 | + | 0.541943i | 0.978987 | − | 0.203923i | \(-0.0653692\pi\) |
−0.666096 | + | 0.745866i | \(0.732036\pi\) | |||||||
\(774\) | −1.82478 | − | 13.3106i | −0.0655903 | − | 0.478440i | ||||
\(775\) | −12.1816 | + | 7.03307i | −0.437577 | + | 0.252635i | ||||
\(776\) | 10.0174 | − | 17.3507i | 0.359604 | − | 0.622853i | ||||
\(777\) | −16.9763 | + | 6.35153i | −0.609021 | + | 0.227860i | ||||
\(778\) | −3.48402 | − | 6.03450i | −0.124908 | − | 0.216347i | ||||
\(779\) | 17.8399 | − | 10.2999i | 0.639182 | − | 0.369032i | ||||
\(780\) | 15.5658 | + | 21.7016i | 0.557343 | + | 0.777040i | ||||
\(781\) | −39.9264 | + | 69.1545i | −1.42868 | + | 2.47454i | ||||
\(782\) | −0.182670 | + | 0.316393i | −0.00653226 | + | 0.0113142i | ||||
\(783\) | −19.9886 | + | 17.8150i | −0.714335 | + | 0.636655i | ||||
\(784\) | 0.903839 | + | 16.0672i | 0.0322800 | + | 0.573830i | ||||
\(785\) | − | 22.1686i | − | 0.791230i | ||||||
\(786\) | −2.59406 | + | 1.74333i | −0.0925269 | + | 0.0621827i | ||||
\(787\) | −14.0025 | + | 8.08436i | −0.499136 | + | 0.288176i | −0.728357 | − | 0.685198i | \(-0.759716\pi\) |
0.229221 | + | 0.973374i | \(0.426382\pi\) | |||||||
\(788\) | −20.2178 | − | 11.6728i | −0.720230 | − | 0.415825i | ||||
\(789\) | 2.32274 | − | 1.56100i | 0.0826918 | − | 0.0555730i | ||||
\(790\) | 5.10696 | − | 2.94850i | 0.181697 | − | 0.104903i | ||||
\(791\) | 22.0701 | + | 5.25382i | 0.784721 | + | 0.186804i | ||||
\(792\) | 13.8108 | − | 33.8526i | 0.490744 | − | 1.20290i | ||||
\(793\) | 11.0157 | − | 6.81603i | 0.391178 | − | 0.242044i | ||||
\(794\) | −1.06319 | + | 1.84150i | −0.0377313 | + | 0.0653525i | ||||
\(795\) | 0.169588 | − | 0.113971i | 0.00601465 | − | 0.00404215i | ||||
\(796\) | −4.90764 | − | 2.83343i | −0.173947 | − | 0.100428i | ||||
\(797\) | −7.83061 | + | 13.5630i | −0.277374 | + | 0.480426i | −0.970731 | − | 0.240168i | \(-0.922798\pi\) |
0.693357 | + | 0.720594i | \(0.256131\pi\) | |||||||
\(798\) | −5.38153 | + | 2.01345i | −0.190504 | + | 0.0712755i | ||||
\(799\) | −1.35705 | + | 2.35047i | −0.0480088 | + | 0.0831537i | ||||
\(800\) | − | 6.97341i | − | 0.246547i | ||||||
\(801\) | −1.86755 | − | 2.40710i | −0.0659865 | − | 0.0850505i | ||||
\(802\) | −6.02431 | − | 10.4344i | −0.212726 | − | 0.368452i | ||||
\(803\) | 16.5941 | − | 28.7418i | 0.585593 | − | 1.01428i | ||||
\(804\) | −1.97395 | + | 4.02989i | −0.0696160 | + | 0.142123i | ||||
\(805\) | 1.96399 | + | 6.58395i | 0.0692216 | + | 0.232054i | ||||
\(806\) | 9.96509 | − | 18.5440i | 0.351005 | − | 0.653183i | ||||
\(807\) | −12.5354 | + | 25.5913i | −0.441265 | + | 0.900857i | ||||
\(808\) | 10.7509i | 0.378215i | ||||||||
\(809\) | − | 7.94208i | − | 0.279229i | −0.990206 | − | 0.139614i | \(-0.955414\pi\) | ||
0.990206 | − | 0.139614i | \(-0.0445863\pi\) | |||||||
\(810\) | 8.64195 | − | 8.82864i | 0.303647 | − | 0.310207i | ||||
\(811\) | − | 27.8689i | − | 0.978608i | −0.872113 | − | 0.489304i | \(-0.837251\pi\) | ||
0.872113 | − | 0.489304i | \(-0.162749\pi\) | |||||||
\(812\) | 22.5686 | + | 5.37250i | 0.792002 | + | 0.188538i | ||||
\(813\) | 0.0724190 | + | 1.06144i | 0.00253984 | + | 0.0372265i | ||||
\(814\) | −6.51114 | − | 11.2776i | −0.228215 | − | 0.395281i | ||||
\(815\) | 15.8032 | + | 27.3720i | 0.553563 | + | 0.958799i | ||||
\(816\) | 1.43770 | + | 2.13927i | 0.0503295 | + | 0.0748895i | ||||
\(817\) | 16.2997 | + | 9.41063i | 0.570254 | + | 0.329236i | ||||
\(818\) | 4.68694 | 0.163875 | ||||||||
\(819\) | 25.6860 | − | 12.6187i | 0.897540 | − | 0.440933i | ||||
\(820\) | 38.3764 | 1.34016 | ||||||||
\(821\) | −18.3241 | − | 10.5794i | −0.639515 | − | 0.369224i | 0.144912 | − | 0.989444i | \(-0.453710\pi\) |
−0.784428 | + | 0.620220i | \(0.787043\pi\) | |||||||
\(822\) | 4.35411 | + | 6.47886i | 0.151867 | + | 0.225976i | ||||
\(823\) | −23.3711 | − | 40.4800i | −0.814666 | − | 1.41104i | −0.909567 | − | 0.415556i | \(-0.863587\pi\) |
0.0949015 | − | 0.995487i | \(-0.469746\pi\) | |||||||
\(824\) | −2.81839 | − | 4.88159i | −0.0981832 | − | 0.170058i | ||||
\(825\) | −0.935122 | − | 13.7061i | −0.0325568 | − | 0.477184i | ||||
\(826\) | 0.686687 | + | 2.30200i | 0.0238929 | + | 0.0800968i | ||||
\(827\) | − | 19.8390i | − | 0.689871i | −0.938626 | − | 0.344935i | \(-0.887901\pi\) | ||
0.938626 | − | 0.344935i | \(-0.112099\pi\) | |||||||
\(828\) | 4.88420 | + | 1.99260i | 0.169738 | + | 0.0692475i | ||||
\(829\) | 22.9829i | 0.798231i | 0.916901 | + | 0.399115i | \(0.130683\pi\) | ||||
−0.916901 | + | 0.399115i | \(0.869317\pi\) | |||||||
\(830\) | − | 16.3098i | − | 0.566121i | ||||||
\(831\) | 7.36568 | − | 15.0373i | 0.255513 | − | 0.521637i | ||||
\(832\) | −3.23141 | − | 5.22241i | −0.112029 | − | 0.181054i | ||||
\(833\) | 4.04511 | + | 2.04159i | 0.140155 | + | 0.0707369i | ||||
\(834\) | 3.60587 | − | 7.36150i | 0.124861 | − | 0.254908i | ||||
\(835\) | 16.8713 | − | 29.2219i | 0.583855 | − | 1.01127i | ||||
\(836\) | 11.7727 | + | 20.3909i | 0.407167 | + | 0.705234i | ||||
\(837\) | 52.7384 | + | 17.4322i | 1.82290 | + | 0.602544i | ||||
\(838\) | 13.7073i | 0.473510i | ||||||||
\(839\) | 3.02970 | − | 5.24760i | 0.104597 | − | 0.181167i | −0.808977 | − | 0.587841i | \(-0.799978\pi\) |
0.913573 | + | 0.406674i | \(0.133311\pi\) | |||||||
\(840\) | −22.9668 | − | 3.83800i | −0.792429 | − | 0.132423i | ||||
\(841\) | −1.22374 | + | 2.11958i | −0.0421979 | + | 0.0730888i | ||||
\(842\) | −5.63583 | − | 3.25385i | −0.194224 | − | 0.112135i | ||||
\(843\) | −6.11189 | + | 4.10749i | −0.210505 | + | 0.141470i | ||||
\(844\) | −7.95152 | + | 13.7724i | −0.273703 | + | 0.474067i | ||||
\(845\) | −32.6101 | + | 1.99162i | −1.12182 | + | 0.0685137i | ||||
\(846\) | −6.36159 | − | 2.59532i | −0.218716 | − | 0.0892291i | ||||
\(847\) | −64.2265 | + | 19.1588i | −2.20685 | + | 0.658303i | ||||
\(848\) | −0.0934561 | + | 0.0539569i | −0.00320930 | + | 0.00185289i | ||||
\(849\) | 19.3592 | − | 13.0103i | 0.664406 | − | 0.446514i | ||||
\(850\) | −0.402912 | − | 0.232621i | −0.0138198 | − | 0.00797885i | ||||
\(851\) | 3.53952 | − | 2.04354i | 0.121333 | − | 0.0700517i | ||||
\(852\) | 32.4074 | − | 21.7794i | 1.11026 | − | 0.746150i | ||||
\(853\) | − | 26.7903i | − | 0.917284i | −0.888621 | − | 0.458642i | \(-0.848336\pi\) | ||
0.888621 | − | 0.458642i | \(-0.151664\pi\) | |||||||
\(854\) | −1.20237 | + | 5.05087i | −0.0411443 | + | 0.172837i | ||||
\(855\) | 2.35068 | + | 17.1467i | 0.0803915 | + | 0.586406i | ||||
\(856\) | 19.4343 | − | 33.6612i | 0.664252 | − | 1.15052i | ||||
\(857\) | 4.19504 | − | 7.26603i | 0.143300 | − | 0.248203i | −0.785437 | − | 0.618941i | \(-0.787562\pi\) |
0.928737 | + | 0.370738i | \(0.120895\pi\) | |||||||
\(858\) | 11.9836 | + | 16.7073i | 0.409113 | + | 0.570379i | ||||
\(859\) | 10.3636 | − | 5.98343i | 0.353601 | − | 0.204152i | −0.312669 | − | 0.949862i | \(-0.601223\pi\) |
0.666270 | + | 0.745710i | \(0.267890\pi\) | |||||||
\(860\) | 17.5316 | + | 30.3655i | 0.597821 | + | 1.03546i | ||||
\(861\) | 6.77812 | − | 40.5606i | 0.230998 | − | 1.38230i | ||||
\(862\) | −7.88778 | + | 13.6620i | −0.268659 | + | 0.465331i | ||||
\(863\) | 16.9737 | − | 9.79980i | 0.577793 | − | 0.333589i | −0.182463 | − | 0.983213i | \(-0.558407\pi\) |
0.760256 | + | 0.649624i | \(0.225074\pi\) | |||||||
\(864\) | −20.5571 | + | 18.3216i | −0.699366 | + | 0.623313i | ||||
\(865\) | −10.6146 | − | 18.3850i | −0.360906 | − | 0.625108i | ||||
\(866\) | −2.04443 | − | 3.54106i | −0.0694727 | − | 0.120330i | ||||
\(867\) | −28.6525 | + | 1.95487i | −0.973091 | + | 0.0663909i | ||||
\(868\) | −13.7570 | − | 46.1181i | −0.466944 | − | 1.56535i | ||||
\(869\) | −22.4251 | + | 12.9471i | −0.760719 | + | 0.439201i | ||||
\(870\) | −5.38932 | + | 11.0025i | −0.182715 | + | 0.373018i | ||||
\(871\) | −2.88843 | − | 4.66812i | −0.0978708 | − | 0.158173i | ||||
\(872\) | 10.5948 | + | 6.11692i | 0.358786 | + | 0.207145i | ||||
\(873\) | −23.4871 | + | 18.2225i | −0.794917 | + | 0.616737i | ||||
\(874\) | 1.12204 | − | 0.647808i | 0.0379535 | − | 0.0219124i | ||||
\(875\) | 23.4741 | − | 7.00234i | 0.793571 | − | 0.236722i | ||||
\(876\) | −13.4691 | + | 9.05191i | −0.455079 | + | 0.305836i | ||||
\(877\) | −11.4236 | −0.385748 | −0.192874 | − | 0.981224i | \(-0.561781\pi\) | ||||
−0.192874 | + | 0.981224i | \(0.561781\pi\) | |||||||
\(878\) | −2.79133 | − | 4.83472i | −0.0942028 | − | 0.163164i | ||||
\(879\) | −23.9797 | + | 1.63606i | −0.808814 | + | 0.0551828i | ||||
\(880\) | 34.8251i | 1.17395i | ||||||||
\(881\) | −22.1811 | − | 38.4188i | −0.747300 | − | 1.29436i | −0.949113 | − | 0.314937i | \(-0.898017\pi\) |
0.201813 | − | 0.979424i | \(-0.435317\pi\) | |||||||
\(882\) | −3.72950 | + | 10.8471i | −0.125579 | + | 0.365242i | ||||
\(883\) | −12.9921 | −0.437220 | −0.218610 | − | 0.975812i | \(-0.570152\pi\) | ||||
−0.218610 | + | 0.975812i | \(0.570152\pi\) | |||||||
\(884\) | −3.96962 | + | 0.121107i | −0.133513 | + | 0.00407327i | ||||
\(885\) | 7.21901 | − | 0.492530i | 0.242664 | − | 0.0165562i | ||||
\(886\) | 16.5871 | 0.557254 | ||||||||
\(887\) | −20.8583 | + | 36.1277i | −0.700354 | + | 1.21305i | 0.267989 | + | 0.963422i | \(0.413641\pi\) |
−0.968342 | + | 0.249626i | \(0.919692\pi\) | |||||||
\(888\) | 0.942853 | + | 13.8194i | 0.0316401 | + | 0.463748i | ||||
\(889\) | 6.13745 | + | 5.80190i | 0.205844 | + | 0.194590i | ||||
\(890\) | −1.20726 | − | 0.697013i | −0.0404675 | − | 0.0233639i | ||||
\(891\) | −37.9475 | + | 38.7673i | −1.27129 | + | 1.29875i | ||||
\(892\) | −8.04391 | − | 4.64415i | −0.269330 | − | 0.155498i | ||||
\(893\) | 8.33556 | − | 4.81254i | 0.278939 | − | 0.161045i | ||||
\(894\) | −13.0365 | + | 0.889439i | −0.436006 | + | 0.0297473i | ||||
\(895\) | 28.1165 | − | 16.2330i | 0.939829 | − | 0.542611i | ||||
\(896\) | 29.6743 | + | 7.06403i | 0.991350 | + | 0.235993i | ||||
\(897\) | −5.24365 | + | 3.76108i | −0.175080 | + | 0.125579i | ||||
\(898\) | 5.99714 | + | 10.3874i | 0.200127 | + | 0.346631i | ||||
\(899\) | −55.0825 | −1.83711 | ||||||||
\(900\) | −2.53748 | + | 6.21980i | −0.0845826 | + | 0.207327i | ||||
\(901\) | 0.0303847i | 0.00101226i | ||||||||
\(902\) | 29.5448 | 0.983734 | ||||||||
\(903\) | 35.1903 | − | 13.1661i | 1.17106 | − | 0.438142i | ||||
\(904\) | 8.66858 | − | 15.0144i | 0.288313 | − | 0.499372i | ||||
\(905\) | −2.96235 | + | 1.71032i | −0.0984720 | + | 0.0568528i | ||||
\(906\) | 6.64155 | + | 3.25322i | 0.220651 | + | 0.108081i | ||||
\(907\) | −58.0241 | −1.92666 | −0.963329 | − | 0.268324i | \(-0.913530\pi\) | ||||
−0.963329 | + | 0.268324i | \(0.913530\pi\) | |||||||
\(908\) | 19.3858 | − | 33.5771i | 0.643339 | − | 1.11430i | ||||
\(909\) | 6.02568 | − | 14.7700i | 0.199859 | − | 0.489890i | ||||
\(910\) | 8.70121 | − | 9.78571i | 0.288442 | − | 0.324393i | ||||
\(911\) | − | 41.9642i | − | 1.39034i | −0.718847 | − | 0.695168i | \(-0.755330\pi\) | ||
0.718847 | − | 0.695168i | \(-0.244670\pi\) | |||||||
\(912\) | −0.622191 | − | 9.11944i | −0.0206028 | − | 0.301975i | ||||
\(913\) | 71.6177i | 2.37020i | ||||||||
\(914\) | −17.0561 | + | 9.84732i | −0.564164 | + | 0.325720i | ||||
\(915\) | 14.0445 | + | 6.87941i | 0.464297 | + | 0.227426i | ||||
\(916\) | 25.7063 | + | 14.8415i | 0.849359 | + | 0.490378i | ||||
\(917\) | −6.35172 | − | 6.00446i | −0.209752 | − | 0.198285i | ||||
\(918\) | 0.372842 | + | 1.79893i | 0.0123056 | + | 0.0593736i | ||||
\(919\) | −10.7537 | −0.354732 | −0.177366 | − | 0.984145i | \(-0.556758\pi\) | ||||
−0.177366 | + | 0.984145i | \(0.556758\pi\) | |||||||
\(920\) | 5.25052 | 0.173104 | ||||||||
\(921\) | 27.4473 | − | 18.4460i | 0.904420 | − | 0.607815i | ||||
\(922\) | −4.32422 | + | 2.49659i | −0.142411 | + | 0.0822208i | ||||
\(923\) | 1.45657 | + | 47.7433i | 0.0479437 | + | 1.57149i | ||||
\(924\) | 46.3604 | + | 7.74733i | 1.52515 | + | 0.254869i | ||||
\(925\) | 2.60235 | + | 4.50741i | 0.0855648 | + | 0.148203i | ||||
\(926\) | 10.4716 | + | 6.04576i | 0.344117 | + | 0.198676i | ||||
\(927\) | 1.13597 | + | 8.28618i | 0.0373101 | + | 0.272154i | ||||
\(928\) | 13.6538 | − | 23.6491i | 0.448209 | − | 0.776320i | ||||
\(929\) | 31.6451 | 1.03824 | 0.519121 | − | 0.854701i | \(-0.326259\pi\) | ||||
0.519121 | + | 0.854701i | \(0.326259\pi\) | |||||||
\(930\) | 25.3564 | − | 1.72999i | 0.831470 | − | 0.0567286i | ||||
\(931\) | −8.80334 | − | 13.4428i | −0.288518 | − | 0.440571i | ||||
\(932\) | 2.76027 | + | 1.59364i | 0.0904158 | + | 0.0522016i | ||||
\(933\) | 4.53105 | − | 0.309139i | 0.148340 | − | 0.0101208i | ||||
\(934\) | 0.345159i | 0.0112939i | ||||||||
\(935\) | 8.49184 | + | 4.90276i | 0.277713 | + | 0.160338i | ||||
\(936\) | −3.62975 | − | 21.5666i | −0.118642 | − | 0.704927i | ||||
\(937\) | − | 2.52593i | − | 0.0825185i | −0.999148 | − | 0.0412593i | \(-0.986863\pi\) | ||
0.999148 | − | 0.0412593i | \(-0.0131370\pi\) | |||||||
\(938\) | 2.14041 | + | 0.509529i | 0.0698869 | + | 0.0166367i | ||||
\(939\) | −5.66213 | − | 2.77347i | −0.184777 | − | 0.0905089i | ||||
\(940\) | 17.9310 | 0.584846 | ||||||||
\(941\) | 0.833591 | − | 1.44382i | 0.0271743 | − | 0.0470672i | −0.852118 | − | 0.523349i | \(-0.824682\pi\) |
0.879293 | + | 0.476282i | \(0.158016\pi\) | |||||||
\(942\) | −3.67100 | + | 7.49447i | −0.119608 | + | 0.244183i | ||||
\(943\) | 9.27271i | 0.301961i | ||||||||
\(944\) | −3.82153 | −0.124380 | ||||||||
\(945\) | 29.4015 | + | 18.1453i | 0.956432 | + | 0.590265i | ||||
\(946\) | 13.4970 | + | 23.3775i | 0.438825 | + | 0.760067i | ||||
\(947\) | −17.3559 | − | 10.0204i | −0.563991 | − | 0.325620i | 0.190755 | − | 0.981638i | \(-0.438906\pi\) |
−0.754746 | + | 0.656017i | \(0.772240\pi\) | |||||||
\(948\) | 12.6322 | − | 0.861858i | 0.410276 | − | 0.0279919i | ||||
\(949\) | −0.605378 | − | 19.8430i | −0.0196514 | − | 0.644130i | ||||
\(950\) | 0.824953 | + | 1.42886i | 0.0267650 | + | 0.0463584i | ||||
\(951\) | 26.3442 | + | 12.9042i | 0.854270 | + | 0.418446i | ||||
\(952\) | 2.37872 | − | 2.51630i | 0.0770949 | − | 0.0815536i | ||||
\(953\) | 6.14947 | + | 3.55040i | 0.199201 | + | 0.115009i | 0.596283 | − | 0.802774i | \(-0.296644\pi\) |
−0.397082 | + | 0.917783i | \(0.629977\pi\) | |||||||
\(954\) | −0.0762051 | + | 0.0104471i | −0.00246723 | + | 0.000338237i | ||||
\(955\) | 22.4396 | − | 12.9555i | 0.726127 | − | 0.419230i | ||||
\(956\) | −35.0427 | + | 20.2319i | −1.13336 | + | 0.654347i | ||||
\(957\) | 23.6649 | − | 48.3127i | 0.764979 | − | 1.56173i | ||||
\(958\) | 10.5628 | + | 6.09846i | 0.341270 | + | 0.197032i | ||||
\(959\) | −14.9966 | + | 15.8639i | −0.484265 | + | 0.512273i | ||||
\(960\) | 3.26145 | − | 6.65835i | 0.105263 | − | 0.214897i | ||||
\(961\) | 41.6336 | + | 72.1116i | 1.34302 | + | 2.32618i | ||||
\(962\) | −6.86157 | − | 3.68725i | −0.221226 | − | 0.118882i | ||||
\(963\) | −45.5662 | + | 35.3526i | −1.46835 | + | 1.13922i | ||||
\(964\) | 30.7839 | + | 17.7731i | 0.991483 | + | 0.572433i | ||||
\(965\) | 4.07081 | + | 7.05085i | 0.131044 | + | 0.226975i | ||||
\(966\) | 0.426308 | − | 2.55105i | 0.0137162 | − | 0.0820785i | ||||
\(967\) | −57.1582 | −1.83808 | −0.919041 | − | 0.394161i | \(-0.871035\pi\) | ||||
−0.919041 | + | 0.394161i | \(0.871035\pi\) | |||||||
\(968\) | 51.2189i | 1.64624i | ||||||||
\(969\) | −2.31130 | − | 1.13214i | −0.0742496 | − | 0.0363696i | ||||
\(970\) | −6.80105 | + | 11.7798i | −0.218369 | + | 0.378226i | ||||
\(971\) | 2.08912 | 0.0670431 | 0.0335216 | − | 0.999438i | \(-0.489328\pi\) | ||||
0.0335216 | + | 0.999438i | \(0.489328\pi\) | |||||||
\(972\) | 25.0023 | − | 8.86131i | 0.801950 | − | 0.284227i | ||||
\(973\) | 22.3011 | + | 5.30881i | 0.714940 | + | 0.170193i | ||||
\(974\) | 22.0058i | 0.705111i | ||||||||
\(975\) | −4.78956 | − | 6.67754i | −0.153389 | − | 0.213852i | ||||
\(976\) | −7.15300 | − | 4.12979i | −0.228962 | − | 0.132191i | ||||
\(977\) | 21.3475i | 0.682968i | 0.939888 | + | 0.341484i | \(0.110929\pi\) | ||||
−0.939888 | + | 0.341484i | \(0.889071\pi\) | |||||||
\(978\) | −0.809888 | − | 11.8705i | −0.0258974 | − | 0.379577i | ||||
\(979\) | 5.30119 | + | 3.06064i | 0.169427 | + | 0.0978186i | ||||
\(980\) | −1.68132 | − | 29.8883i | −0.0537078 | − | 0.954745i | ||||
\(981\) | −11.1272 | − | 14.3419i | −0.355263 | − | 0.457901i | ||||
\(982\) | −4.22905 | −0.134955 | ||||||||
\(983\) | −26.2192 | + | 45.4129i | −0.836261 | + | 1.44845i | 0.0567381 | + | 0.998389i | \(0.481930\pi\) |
−0.892999 | + | 0.450058i | \(0.851403\pi\) | |||||||
\(984\) | −28.2223 | − | 13.8241i | −0.899693 | − | 0.440695i | ||||
\(985\) | 29.8593 | + | 17.2393i | 0.951395 | + | 0.549288i | ||||
\(986\) | −0.910938 | − | 1.57779i | −0.0290102 | − | 0.0502471i | ||||
\(987\) | 3.16702 | − | 18.9516i | 0.100807 | − | 0.603236i | ||||
\(988\) | 12.4063 | + | 6.66685i | 0.394697 | + | 0.212101i | ||||
\(989\) | −7.33709 | + | 4.23607i | −0.233306 | + | 0.134699i | ||||
\(990\) | −9.37644 | + | 22.9833i | −0.298003 | + | 0.730457i | ||||
\(991\) | −7.60585 | −0.241608 | −0.120804 | − | 0.992676i | \(-0.538547\pi\) | ||||
−0.120804 | + | 0.992676i | \(0.538547\pi\) | |||||||
\(992\) | −56.6490 | −1.79861 | ||||||||
\(993\) | 10.0745 | + | 14.9908i | 0.319706 | + | 0.475718i | ||||
\(994\) | −13.9124 | − | 13.1517i | −0.441274 | − | 0.417148i | ||||
\(995\) | 7.24798 | + | 4.18463i | 0.229777 | + | 0.132662i | ||||
\(996\) | 15.4046 | − | 31.4490i | 0.488114 | − | 0.996500i | ||||
\(997\) | 24.5233 | − | 14.1586i | 0.776662 | − | 0.448406i | −0.0585841 | − | 0.998282i | \(-0.518659\pi\) |
0.835246 | + | 0.549877i | \(0.185325\pi\) | |||||||
\(998\) | − | 8.67729i | − | 0.274675i | ||||||
\(999\) | 6.45019 | − | 19.5141i | 0.204075 | − | 0.617398i |
(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 | 273.2.bf.b.185.18 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.185.15 | yes | 64 | |
7.5 | odd | 6 | 273.2.r.b.68.15 | ✓ | 64 | ||
13.9 | even | 3 | 273.2.r.b.269.15 | yes | 64 | ||
21.5 | even | 6 | 273.2.r.b.68.18 | yes | 64 | ||
39.35 | odd | 6 | 273.2.r.b.269.18 | yes | 64 | ||
91.61 | odd | 6 | inner | 273.2.bf.b.152.15 | yes | 64 | |
273.152 | even | 6 | inner | 273.2.bf.b.152.18 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.15 | ✓ | 64 | 7.5 | odd | 6 | ||
273.2.r.b.68.18 | yes | 64 | 21.5 | even | 6 | ||
273.2.r.b.269.15 | yes | 64 | 13.9 | even | 3 | ||
273.2.r.b.269.18 | yes | 64 | 39.35 | odd | 6 | ||
273.2.bf.b.152.15 | yes | 64 | 91.61 | odd | 6 | inner | |
273.2.bf.b.152.18 | yes | 64 | 273.152 | even | 6 | inner | |
273.2.bf.b.185.15 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.18 | yes | 64 | 1.1 | even | 1 | trivial |