Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(64,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
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("525.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.z (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 484.7 | ||
Character | \(\chi\) | \(=\) | 525.484 |
Dual form | 525.2.z.a.64.7 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.158974 | − | 0.218810i | 0.112412 | − | 0.154722i | −0.749104 | − | 0.662453i | \(-0.769516\pi\) |
0.861516 | + | 0.507731i | \(0.169516\pi\) | |||||||
\(3\) | −0.951057 | + | 0.309017i | −0.549093 | + | 0.178411i | ||||
\(4\) | 0.595429 | + | 1.83254i | 0.297715 | + | 0.916271i | ||||
\(5\) | −0.756459 | + | 2.10423i | −0.338299 | + | 0.941039i | ||||
\(6\) | −0.0835778 | + | 0.257226i | −0.0341205 | + | 0.105012i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 1.01009 | + | 0.328197i | 0.357120 | + | 0.116035i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | 0.340167 | + | 0.500039i | 0.107570 | + | 0.158126i | ||||
\(11\) | 2.65577 | + | 1.92953i | 0.800744 | + | 0.581775i | 0.911132 | − | 0.412114i | \(-0.135209\pi\) |
−0.110388 | + | 0.993889i | \(0.535209\pi\) | |||||||
\(12\) | −1.13257 | − | 1.55885i | −0.326946 | − | 0.450002i | ||||
\(13\) | −2.38467 | − | 3.28222i | −0.661389 | − | 0.910324i | 0.338137 | − | 0.941097i | \(-0.390203\pi\) |
−0.999526 | + | 0.0307729i | \(0.990203\pi\) | |||||||
\(14\) | 0.218810 | + | 0.158974i | 0.0584793 | + | 0.0424877i | ||||
\(15\) | 0.0691931 | − | 2.23500i | 0.0178656 | − | 0.577074i | ||||
\(16\) | −2.88532 | + | 2.09631i | −0.721329 | + | 0.524076i | ||||
\(17\) | −2.37847 | − | 0.772812i | −0.576864 | − | 0.187434i | 0.00603136 | − | 0.999982i | \(-0.498080\pi\) |
−0.582895 | + | 0.812547i | \(0.698080\pi\) | |||||||
\(18\) | − | 0.270463i | − | 0.0637489i | ||||||
\(19\) | 0.114574 | − | 0.352624i | 0.0262852 | − | 0.0808974i | −0.937053 | − | 0.349186i | \(-0.886458\pi\) |
0.963339 | + | 0.268289i | \(0.0864581\pi\) | |||||||
\(20\) | −4.30650 | − | 0.133325i | −0.962963 | − | 0.0298123i | ||||
\(21\) | −0.309017 | − | 0.951057i | −0.0674330 | − | 0.207538i | ||||
\(22\) | 0.844398 | − | 0.274362i | 0.180026 | − | 0.0584941i | ||||
\(23\) | −5.04249 | + | 6.94039i | −1.05143 | + | 1.44717i | −0.163871 | + | 0.986482i | \(0.552398\pi\) |
−0.887561 | + | 0.460690i | \(0.847602\pi\) | |||||||
\(24\) | −1.06207 | −0.216794 | ||||||||
\(25\) | −3.85554 | − | 3.18352i | −0.771108 | − | 0.636704i | ||||
\(26\) | −1.09728 | −0.215195 | ||||||||
\(27\) | −0.587785 | + | 0.809017i | −0.113119 | + | 0.155695i | ||||
\(28\) | −1.83254 | + | 0.595429i | −0.346318 | + | 0.112526i | ||||
\(29\) | 1.45653 | + | 4.48273i | 0.270470 | + | 0.832422i | 0.990382 | + | 0.138357i | \(0.0441821\pi\) |
−0.719912 | + | 0.694065i | \(0.755818\pi\) | |||||||
\(30\) | −0.478039 | − | 0.370448i | −0.0872775 | − | 0.0676342i | ||||
\(31\) | 1.10051 | − | 3.38703i | 0.197658 | − | 0.608328i | −0.802277 | − | 0.596951i | \(-0.796378\pi\) |
0.999935 | − | 0.0113770i | \(-0.00362150\pi\) | |||||||
\(32\) | 3.08873i | 0.546016i | ||||||||
\(33\) | −3.12204 | − | 1.01441i | −0.543478 | − | 0.176587i | ||||
\(34\) | −0.547215 | + | 0.397575i | −0.0938465 | + | 0.0681835i | ||||
\(35\) | −2.10423 | − | 0.756459i | −0.355679 | − | 0.127865i | ||||
\(36\) | 1.55885 | + | 1.13257i | 0.259809 | + | 0.188762i | ||||
\(37\) | 3.35068 | + | 4.61181i | 0.550848 | + | 0.758177i | 0.990127 | − | 0.140174i | \(-0.0447661\pi\) |
−0.439279 | + | 0.898351i | \(0.644766\pi\) | |||||||
\(38\) | −0.0589430 | − | 0.0811281i | −0.00956183 | − | 0.0131607i | ||||
\(39\) | 3.28222 | + | 2.38467i | 0.525576 | + | 0.381853i | ||||
\(40\) | −1.45469 | + | 1.87719i | −0.230007 | + | 0.296809i | ||||
\(41\) | −2.67111 | + | 1.94067i | −0.417157 | + | 0.303082i | −0.776493 | − | 0.630126i | \(-0.783003\pi\) |
0.359336 | + | 0.933208i | \(0.383003\pi\) | |||||||
\(42\) | −0.257226 | − | 0.0835778i | −0.0396908 | − | 0.0128963i | ||||
\(43\) | − | 9.75390i | − | 1.48746i | −0.668483 | − | 0.743728i | \(-0.733056\pi\) | ||
0.668483 | − | 0.743728i | \(-0.266944\pi\) | |||||||
\(44\) | −1.95462 | + | 6.01571i | −0.294670 | + | 0.906902i | ||||
\(45\) | 0.624846 | + | 2.14699i | 0.0931465 | + | 0.320054i | ||||
\(46\) | 0.716997 | + | 2.20669i | 0.105715 | + | 0.325359i | ||||
\(47\) | 8.45686 | − | 2.74780i | 1.23356 | − | 0.400808i | 0.381558 | − | 0.924345i | \(-0.375388\pi\) |
0.852003 | + | 0.523537i | \(0.175388\pi\) | |||||||
\(48\) | 2.09631 | − | 2.88532i | 0.302576 | − | 0.416460i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | −1.30952 | + | 0.337531i | −0.185194 | + | 0.0477340i | ||||
\(51\) | 2.50087 | 0.350192 | ||||||||
\(52\) | 4.59490 | − | 6.32434i | 0.637199 | − | 0.877029i | ||||
\(53\) | −4.07394 | + | 1.32370i | −0.559599 | + | 0.181825i | −0.575141 | − | 0.818055i | \(-0.695053\pi\) |
0.0155419 | + | 0.999879i | \(0.495053\pi\) | |||||||
\(54\) | 0.0835778 | + | 0.257226i | 0.0113735 | + | 0.0350040i | ||||
\(55\) | −6.06914 | + | 4.12873i | −0.818363 | + | 0.556718i | ||||
\(56\) | −0.328197 | + | 1.01009i | −0.0438572 | + | 0.134979i | ||||
\(57\) | 0.370771i | 0.0491098i | ||||||||
\(58\) | 1.21242 | + | 0.393938i | 0.159198 | + | 0.0517265i | ||||
\(59\) | 0.774946 | − | 0.563031i | 0.100889 | − | 0.0733004i | −0.536197 | − | 0.844093i | \(-0.680140\pi\) |
0.637086 | + | 0.770793i | \(0.280140\pi\) | |||||||
\(60\) | 4.13693 | − | 1.20398i | 0.534075 | − | 0.155434i | ||||
\(61\) | 5.00813 | + | 3.63862i | 0.641225 | + | 0.465877i | 0.860271 | − | 0.509837i | \(-0.170294\pi\) |
−0.219046 | + | 0.975715i | \(0.570294\pi\) | |||||||
\(62\) | −0.566161 | − | 0.779254i | −0.0719025 | − | 0.0989653i | ||||
\(63\) | 0.587785 | + | 0.809017i | 0.0740540 | + | 0.101927i | ||||
\(64\) | −5.09479 | − | 3.70158i | −0.636849 | − | 0.462698i | ||||
\(65\) | 8.71044 | − | 2.53503i | 1.08040 | − | 0.314431i | ||||
\(66\) | −0.718288 | + | 0.521867i | −0.0884152 | + | 0.0642374i | ||||
\(67\) | 6.87203 | + | 2.23286i | 0.839552 | + | 0.272787i | 0.697063 | − | 0.717009i | \(-0.254490\pi\) |
0.142489 | + | 0.989796i | \(0.454490\pi\) | |||||||
\(68\) | − | 4.81880i | − | 0.584366i | ||||||
\(69\) | 2.65099 | − | 8.15892i | 0.319142 | − | 0.982219i | ||||
\(70\) | −0.500039 | + | 0.340167i | −0.0597661 | + | 0.0406578i | ||||
\(71\) | 2.77937 | + | 8.55403i | 0.329851 | + | 1.01518i | 0.969203 | + | 0.246263i | \(0.0792027\pi\) |
−0.639352 | + | 0.768914i | \(0.720797\pi\) | |||||||
\(72\) | 1.01009 | − | 0.328197i | 0.119040 | − | 0.0386784i | ||||
\(73\) | −6.50548 | + | 8.95402i | −0.761409 | + | 1.04799i | 0.235687 | + | 0.971829i | \(0.424266\pi\) |
−0.997096 | + | 0.0761601i | \(0.975734\pi\) | |||||||
\(74\) | 1.54178 | 0.179228 | ||||||||
\(75\) | 4.65060 | + | 1.83628i | 0.537005 | + | 0.212035i | ||||
\(76\) | 0.714419 | 0.0819495 | ||||||||
\(77\) | −1.92953 | + | 2.65577i | −0.219890 | + | 0.302653i | ||||
\(78\) | 1.04358 | − | 0.339079i | 0.118162 | − | 0.0383931i | ||||
\(79\) | 0.686427 | + | 2.11261i | 0.0772291 | + | 0.237687i | 0.982217 | − | 0.187752i | \(-0.0601200\pi\) |
−0.904987 | + | 0.425438i | \(0.860120\pi\) | |||||||
\(80\) | −2.22848 | − | 7.65713i | −0.249152 | − | 0.856093i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 0.892982i | 0.0986133i | ||||||||
\(83\) | −11.1327 | − | 3.61724i | −1.22198 | − | 0.397044i | −0.374175 | − | 0.927358i | \(-0.622074\pi\) |
−0.847801 | + | 0.530314i | \(0.822074\pi\) | |||||||
\(84\) | 1.55885 | − | 1.13257i | 0.170085 | − | 0.123574i | ||||
\(85\) | 3.42539 | − | 4.42024i | 0.371535 | − | 0.479442i | ||||
\(86\) | −2.13425 | − | 1.55062i | −0.230142 | − | 0.167208i | ||||
\(87\) | −2.77048 | − | 3.81324i | −0.297027 | − | 0.408822i | ||||
\(88\) | 2.04929 | + | 2.82061i | 0.218455 | + | 0.300678i | ||||
\(89\) | 12.4881 | + | 9.07311i | 1.32373 | + | 0.961748i | 0.999878 | + | 0.0156410i | \(0.00497888\pi\) |
0.323855 | + | 0.946107i | \(0.395021\pi\) | |||||||
\(90\) | 0.569117 | + | 0.204594i | 0.0599901 | + | 0.0215661i | ||||
\(91\) | 3.28222 | − | 2.38467i | 0.344070 | − | 0.249982i | ||||
\(92\) | −15.7210 | − | 5.10807i | −1.63903 | − | 0.532553i | ||||
\(93\) | 3.56133i | 0.369293i | ||||||||
\(94\) | 0.743180 | − | 2.28727i | 0.0766532 | − | 0.235914i | ||||
\(95\) | 0.655330 | + | 0.507836i | 0.0672354 | + | 0.0521029i | ||||
\(96\) | −0.954471 | − | 2.93756i | −0.0974153 | − | 0.299813i | ||||
\(97\) | 11.3135 | − | 3.67597i | 1.14871 | − | 0.373238i | 0.328052 | − | 0.944660i | \(-0.393608\pi\) |
0.820657 | + | 0.571421i | \(0.193608\pi\) | |||||||
\(98\) | −0.158974 | + | 0.218810i | −0.0160588 | + | 0.0221031i | ||||
\(99\) | 3.28271 | 0.329925 | ||||||||
\(100\) | 3.53824 | − | 8.96100i | 0.353824 | − | 0.896100i | ||||
\(101\) | 6.41165 | 0.637983 | 0.318992 | − | 0.947758i | \(-0.396656\pi\) | ||||
0.318992 | + | 0.947758i | \(0.396656\pi\) | |||||||
\(102\) | 0.397575 | − | 0.547215i | 0.0393658 | − | 0.0541823i | ||||
\(103\) | −3.53975 | + | 1.15013i | −0.348782 | + | 0.113326i | −0.478168 | − | 0.878268i | \(-0.658699\pi\) |
0.129387 | + | 0.991594i | \(0.458699\pi\) | |||||||
\(104\) | −1.33151 | − | 4.09797i | −0.130566 | − | 0.401839i | ||||
\(105\) | 2.23500 | + | 0.0691931i | 0.218113 | + | 0.00675255i | ||||
\(106\) | −0.358013 | + | 1.10185i | −0.0347733 | + | 0.107021i | ||||
\(107\) | − | 13.8366i | − | 1.33763i | −0.743428 | − | 0.668816i | \(-0.766801\pi\) | ||
0.743428 | − | 0.668816i | \(-0.233199\pi\) | |||||||
\(108\) | −1.83254 | − | 0.595429i | −0.176337 | − | 0.0572952i | ||||
\(109\) | 3.55407 | − | 2.58218i | 0.340418 | − | 0.247328i | −0.404420 | − | 0.914573i | \(-0.632527\pi\) |
0.744838 | + | 0.667245i | \(0.232527\pi\) | |||||||
\(110\) | −0.0614333 | + | 1.98435i | −0.00585743 | + | 0.189200i | ||||
\(111\) | −4.61181 | − | 3.35068i | −0.437734 | − | 0.318032i | ||||
\(112\) | −2.09631 | − | 2.88532i | −0.198082 | − | 0.272637i | ||||
\(113\) | 4.88256 | + | 6.72026i | 0.459312 | + | 0.632189i | 0.974366 | − | 0.224969i | \(-0.0722280\pi\) |
−0.515054 | + | 0.857158i | \(0.672228\pi\) | |||||||
\(114\) | 0.0811281 | + | 0.0589430i | 0.00759835 | + | 0.00552052i | ||||
\(115\) | −10.7897 | − | 15.8607i | −1.00615 | − | 1.47901i | ||||
\(116\) | −7.34754 | + | 5.33830i | −0.682202 | + | 0.495649i | ||||
\(117\) | −3.85848 | − | 1.25370i | −0.356717 | − | 0.115904i | ||||
\(118\) | − | 0.259073i | − | 0.0238496i | ||||||
\(119\) | 0.772812 | − | 2.37847i | 0.0708435 | − | 0.218034i | ||||
\(120\) | 0.803412 | − | 2.23483i | 0.0733411 | − | 0.204012i | ||||
\(121\) | −0.0691632 | − | 0.212862i | −0.00628756 | − | 0.0193511i | ||||
\(122\) | 1.59233 | − | 0.517379i | 0.144163 | − | 0.0468413i | ||||
\(123\) | 1.94067 | − | 2.67111i | 0.174985 | − | 0.240846i | ||||
\(124\) | 6.86215 | 0.616240 | ||||||||
\(125\) | 9.61541 | − | 5.70473i | 0.860028 | − | 0.510247i | ||||
\(126\) | 0.270463 | 0.0240948 | ||||||||
\(127\) | 12.8146 | − | 17.6378i | 1.13711 | − | 1.56510i | 0.363315 | − | 0.931666i | \(-0.381645\pi\) |
0.773797 | − | 0.633434i | \(-0.218355\pi\) | |||||||
\(128\) | −7.49500 | + | 2.43527i | −0.662471 | + | 0.215250i | ||||
\(129\) | 3.01412 | + | 9.27651i | 0.265378 | + | 0.816751i | ||||
\(130\) | 0.830049 | − | 2.30893i | 0.0728001 | − | 0.202507i | ||||
\(131\) | −5.77774 | + | 17.7820i | −0.504803 | + | 1.55362i | 0.296298 | + | 0.955095i | \(0.404248\pi\) |
−0.801101 | + | 0.598529i | \(0.795752\pi\) | |||||||
\(132\) | − | 6.32529i | − | 0.550546i | ||||||
\(133\) | 0.352624 | + | 0.114574i | 0.0305764 | + | 0.00993486i | ||||
\(134\) | 1.58105 | − | 1.14870i | 0.136582 | − | 0.0992324i | ||||
\(135\) | −1.25772 | − | 1.84882i | −0.108247 | − | 0.159121i | ||||
\(136\) | −2.14883 | − | 1.56122i | −0.184261 | − | 0.133873i | ||||
\(137\) | 7.17956 | + | 9.88182i | 0.613392 | + | 0.844261i | 0.996851 | − | 0.0792967i | \(-0.0252674\pi\) |
−0.383460 | + | 0.923558i | \(0.625267\pi\) | |||||||
\(138\) | −1.36381 | − | 1.87712i | −0.116095 | − | 0.159791i | ||||
\(139\) | −9.31402 | − | 6.76703i | −0.790005 | − | 0.573972i | 0.117960 | − | 0.993018i | \(-0.462365\pi\) |
−0.907965 | + | 0.419046i | \(0.862365\pi\) | |||||||
\(140\) | 0.133325 | − | 4.30650i | 0.0112680 | − | 0.363966i | ||||
\(141\) | −7.19384 | + | 5.22663i | −0.605830 | + | 0.440162i | ||||
\(142\) | 2.31355 | + | 0.751719i | 0.194149 | + | 0.0630829i | ||||
\(143\) | − | 13.3181i | − | 1.11372i | ||||||
\(144\) | −1.10209 | + | 3.39189i | −0.0918411 | + | 0.282658i | ||||
\(145\) | −10.5345 | − | 0.326136i | −0.874842 | − | 0.0270841i | ||||
\(146\) | 0.925021 | + | 2.84692i | 0.0765553 | + | 0.235613i | ||||
\(147\) | 0.951057 | − | 0.309017i | 0.0784418 | − | 0.0254873i | ||||
\(148\) | −6.45625 | + | 8.88627i | −0.530701 | + | 0.730447i | ||||
\(149\) | 10.3502 | 0.847919 | 0.423959 | − | 0.905681i | \(-0.360640\pi\) | ||||
0.423959 | + | 0.905681i | \(0.360640\pi\) | |||||||
\(150\) | 1.14112 | − | 0.725674i | 0.0931722 | − | 0.0592510i | ||||
\(151\) | 20.3689 | 1.65759 | 0.828797 | − | 0.559549i | \(-0.189026\pi\) | ||||
0.828797 | + | 0.559549i | \(0.189026\pi\) | |||||||
\(152\) | 0.231460 | − | 0.318578i | 0.0187739 | − | 0.0258401i | ||||
\(153\) | −2.37847 | + | 0.772812i | −0.192288 | + | 0.0624781i | ||||
\(154\) | 0.274362 | + | 0.844398i | 0.0221087 | + | 0.0680436i | ||||
\(155\) | 6.29459 | + | 4.87788i | 0.505593 | + | 0.391800i | ||||
\(156\) | −2.41568 | + | 7.43471i | −0.193410 | + | 0.595253i | ||||
\(157\) | 12.2181i | 0.975114i | 0.873091 | + | 0.487557i | \(0.162112\pi\) | ||||
−0.873091 | + | 0.487557i | \(0.837888\pi\) | |||||||
\(158\) | 0.571383 | + | 0.185654i | 0.0454568 | + | 0.0147698i | ||||
\(159\) | 3.46550 | − | 2.51783i | 0.274832 | − | 0.199677i | ||||
\(160\) | −6.49939 | − | 2.33650i | −0.513822 | − | 0.184716i | ||||
\(161\) | −6.94039 | − | 5.04249i | −0.546980 | − | 0.397404i | ||||
\(162\) | −0.158974 | − | 0.218810i | −0.0124902 | − | 0.0171913i | ||||
\(163\) | 9.95997 | + | 13.7087i | 0.780125 | + | 1.07375i | 0.995268 | + | 0.0971679i | \(0.0309784\pi\) |
−0.215143 | + | 0.976583i | \(0.569022\pi\) | |||||||
\(164\) | −5.14682 | − | 3.73939i | −0.401899 | − | 0.291997i | ||||
\(165\) | 4.49625 | − | 5.80212i | 0.350033 | − | 0.451695i | ||||
\(166\) | −2.56131 | + | 1.86090i | −0.198796 | + | 0.144434i | ||||
\(167\) | 0.515073 | + | 0.167357i | 0.0398576 | + | 0.0129505i | 0.328878 | − | 0.944372i | \(-0.393330\pi\) |
−0.289020 | + | 0.957323i | \(0.593330\pi\) | |||||||
\(168\) | − | 1.06207i | − | 0.0819404i | ||||||
\(169\) | −1.06908 | + | 3.29030i | −0.0822371 | + | 0.253100i | ||||
\(170\) | −0.422642 | − | 1.45221i | −0.0324152 | − | 0.111380i | ||||
\(171\) | −0.114574 | − | 0.352624i | −0.00876172 | − | 0.0269658i | ||||
\(172\) | 17.8744 | − | 5.80776i | 1.36291 | − | 0.442837i | ||||
\(173\) | 4.82507 | − | 6.64114i | 0.366843 | − | 0.504916i | −0.585196 | − | 0.810892i | \(-0.698982\pi\) |
0.952039 | + | 0.305975i | \(0.0989825\pi\) | |||||||
\(174\) | −1.27481 | −0.0966430 | ||||||||
\(175\) | 3.18352 | − | 3.85554i | 0.240652 | − | 0.291451i | ||||
\(176\) | −11.7076 | −0.882495 | ||||||||
\(177\) | −0.563031 | + | 0.774946i | −0.0423200 | + | 0.0582485i | ||||
\(178\) | 3.97057 | − | 1.29012i | 0.297607 | − | 0.0966982i | ||||
\(179\) | −1.14772 | − | 3.53231i | −0.0857843 | − | 0.264017i | 0.898958 | − | 0.438034i | \(-0.144325\pi\) |
−0.984743 | + | 0.174017i | \(0.944325\pi\) | |||||||
\(180\) | −3.56240 | + | 2.42344i | −0.265526 | + | 0.180632i | ||||
\(181\) | −5.97207 | + | 18.3802i | −0.443901 | + | 1.36619i | 0.439784 | + | 0.898104i | \(0.355055\pi\) |
−0.883685 | + | 0.468083i | \(0.844945\pi\) | |||||||
\(182\) | − | 1.09728i | − | 0.0813360i | ||||||
\(183\) | −5.88741 | − | 1.91293i | −0.435210 | − | 0.141408i | ||||
\(184\) | −7.37118 | + | 5.35548i | −0.543411 | + | 0.394811i | ||||
\(185\) | −12.2389 | + | 3.56194i | −0.899825 | + | 0.261879i | ||||
\(186\) | 0.779254 | + | 0.566161i | 0.0571377 | + | 0.0415129i | ||||
\(187\) | −4.82550 | − | 6.64173i | −0.352876 | − | 0.485692i | ||||
\(188\) | 10.0709 | + | 13.8614i | 0.734498 | + | 1.01095i | ||||
\(189\) | −0.809017 | − | 0.587785i | −0.0588473 | − | 0.0427551i | ||||
\(190\) | 0.215300 | − | 0.0626595i | 0.0156195 | − | 0.00454579i | ||||
\(191\) | 4.33368 | − | 3.14860i | 0.313574 | − | 0.227825i | −0.419855 | − | 0.907591i | \(-0.637919\pi\) |
0.733428 | + | 0.679767i | \(0.237919\pi\) | |||||||
\(192\) | 5.98928 | + | 1.94604i | 0.432239 | + | 0.140443i | ||||
\(193\) | 15.9559i | 1.14853i | 0.818670 | + | 0.574264i | \(0.194712\pi\) | ||||
−0.818670 | + | 0.574264i | \(0.805288\pi\) | |||||||
\(194\) | 0.994216 | − | 3.05988i | 0.0713805 | − | 0.219687i | ||||
\(195\) | −7.50075 | + | 5.10263i | −0.537140 | + | 0.365407i | ||||
\(196\) | −0.595429 | − | 1.83254i | −0.0425307 | − | 0.130896i | ||||
\(197\) | −12.0932 | + | 3.92933i | −0.861607 | + | 0.279953i | −0.706300 | − | 0.707913i | \(-0.749637\pi\) |
−0.155307 | + | 0.987866i | \(0.549637\pi\) | |||||||
\(198\) | 0.521867 | − | 0.718288i | 0.0370875 | − | 0.0510465i | ||||
\(199\) | 4.83717 | 0.342898 | 0.171449 | − | 0.985193i | \(-0.445155\pi\) | ||||
0.171449 | + | 0.985193i | \(0.445155\pi\) | |||||||
\(200\) | −2.84961 | − | 4.48102i | −0.201498 | − | 0.316856i | ||||
\(201\) | −7.22568 | −0.509660 | ||||||||
\(202\) | 1.01929 | − | 1.40293i | 0.0717169 | − | 0.0987098i | ||||
\(203\) | −4.48273 | + | 1.45653i | −0.314626 | + | 0.102228i | ||||
\(204\) | 1.48909 | + | 4.58295i | 0.104257 | + | 0.320871i | ||||
\(205\) | −2.06304 | − | 7.08866i | −0.144089 | − | 0.495093i | ||||
\(206\) | −0.311069 | + | 0.957373i | −0.0216732 | + | 0.0667033i | ||||
\(207\) | 8.57880i | 0.596268i | ||||||||
\(208\) | 13.7611 | + | 4.47124i | 0.954158 | + | 0.310025i | ||||
\(209\) | 0.984681 | − | 0.715412i | 0.0681118 | − | 0.0494861i | ||||
\(210\) | 0.370448 | − | 0.478039i | 0.0255633 | − | 0.0329878i | ||||
\(211\) | −19.9615 | − | 14.5029i | −1.37421 | − | 0.998418i | −0.997395 | − | 0.0721278i | \(-0.977021\pi\) |
−0.376810 | − | 0.926291i | \(-0.622979\pi\) | |||||||
\(212\) | −4.85149 | − | 6.67750i | −0.333201 | − | 0.458612i | ||||
\(213\) | −5.28668 | − | 7.27650i | −0.362238 | − | 0.498577i | ||||
\(214\) | −3.02757 | − | 2.19966i | −0.206961 | − | 0.150366i | ||||
\(215\) | 20.5244 | + | 7.37842i | 1.39975 | + | 0.503204i | ||||
\(216\) | −0.859232 | + | 0.624269i | −0.0584633 | + | 0.0424761i | ||||
\(217\) | 3.38703 | + | 1.10051i | 0.229927 | + | 0.0747077i | ||||
\(218\) | − | 1.18817i | − | 0.0804727i | ||||||
\(219\) | 3.42013 | − | 10.5261i | 0.231111 | − | 0.711287i | ||||
\(220\) | −11.1798 | − | 8.66360i | −0.753743 | − | 0.584100i | ||||
\(221\) | 3.13533 | + | 9.64956i | 0.210905 | + | 0.649100i | ||||
\(222\) | −1.46632 | + | 0.476436i | −0.0984130 | + | 0.0319763i | ||||
\(223\) | 13.7528 | − | 18.9291i | 0.920957 | − | 1.26759i | −0.0423264 | − | 0.999104i | \(-0.513477\pi\) |
0.963284 | − | 0.268485i | \(-0.0865231\pi\) | |||||||
\(224\) | −3.08873 | −0.206375 | ||||||||
\(225\) | −4.99042 | − | 0.309293i | −0.332695 | − | 0.0206195i | ||||
\(226\) | 2.24666 | 0.149446 | ||||||||
\(227\) | −5.95960 | + | 8.20268i | −0.395552 | + | 0.544431i | −0.959621 | − | 0.281297i | \(-0.909235\pi\) |
0.564068 | + | 0.825728i | \(0.309235\pi\) | |||||||
\(228\) | −0.679453 | + | 0.220768i | −0.0449979 | + | 0.0146207i | ||||
\(229\) | 6.64218 | + | 20.4425i | 0.438928 | + | 1.35088i | 0.889008 | + | 0.457892i | \(0.151395\pi\) |
−0.450080 | + | 0.892988i | \(0.648605\pi\) | |||||||
\(230\) | −5.18576 | − | 0.160545i | −0.341939 | − | 0.0105860i | ||||
\(231\) | 1.01441 | − | 3.12204i | 0.0667435 | − | 0.205415i | ||||
\(232\) | 5.00598i | 0.328659i | ||||||||
\(233\) | 5.95132 | + | 1.93370i | 0.389884 | + | 0.126681i | 0.497398 | − | 0.867523i | \(-0.334289\pi\) |
−0.107514 | + | 0.994204i | \(0.534289\pi\) | |||||||
\(234\) | −0.887720 | + | 0.644967i | −0.0580321 | + | 0.0421628i | ||||
\(235\) | −0.615270 | + | 19.8738i | −0.0401358 | + | 1.29642i | ||||
\(236\) | 1.49320 | + | 1.08488i | 0.0971993 | + | 0.0706194i | ||||
\(237\) | −1.30566 | − | 1.79709i | −0.0848119 | − | 0.116734i | ||||
\(238\) | −0.397575 | − | 0.547215i | −0.0257709 | − | 0.0354707i | ||||
\(239\) | 6.09078 | + | 4.42521i | 0.393980 | + | 0.286243i | 0.767084 | − | 0.641546i | \(-0.221707\pi\) |
−0.373105 | + | 0.927789i | \(0.621707\pi\) | |||||||
\(240\) | 4.48559 | + | 6.59373i | 0.289544 | + | 0.425623i | ||||
\(241\) | −8.99544 | + | 6.53557i | −0.579447 | + | 0.420993i | −0.838525 | − | 0.544864i | \(-0.816581\pi\) |
0.259078 | + | 0.965856i | \(0.416581\pi\) | |||||||
\(242\) | −0.0575715 | − | 0.0187061i | −0.00370084 | − | 0.00120247i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −3.68594 | + | 11.3441i | −0.235968 | + | 0.726235i | ||||
\(245\) | 0.756459 | − | 2.10423i | 0.0483284 | − | 0.134434i | ||||
\(246\) | −0.275947 | − | 0.849276i | −0.0175937 | − | 0.0541479i | ||||
\(247\) | −1.43061 | + | 0.464834i | −0.0910276 | + | 0.0295767i | ||||
\(248\) | 2.22323 | − | 3.06001i | 0.141175 | − | 0.194311i | ||||
\(249\) | 11.7056 | 0.741815 | ||||||||
\(250\) | 0.280355 | − | 3.01085i | 0.0177312 | − | 0.190423i | ||||
\(251\) | −1.80748 | −0.114087 | −0.0570436 | − | 0.998372i | \(-0.518167\pi\) | ||||
−0.0570436 | + | 0.998372i | \(0.518167\pi\) | |||||||
\(252\) | −1.13257 | + | 1.55885i | −0.0713454 | + | 0.0981986i | ||||
\(253\) | −26.7834 | + | 8.70244i | −1.68386 | + | 0.547118i | ||||
\(254\) | −1.82212 | − | 5.60791i | −0.114330 | − | 0.351872i | ||||
\(255\) | −1.89181 | + | 5.26240i | −0.118469 | + | 0.329544i | ||||
\(256\) | 3.23342 | − | 9.95145i | 0.202089 | − | 0.621965i | ||||
\(257\) | 6.46839i | 0.403487i | 0.979438 | + | 0.201743i | \(0.0646607\pi\) | ||||
−0.979438 | + | 0.201743i | \(0.935339\pi\) | |||||||
\(258\) | 2.50896 | + | 0.815209i | 0.156201 | + | 0.0507527i | ||||
\(259\) | −4.61181 | + | 3.35068i | −0.286564 | + | 0.208201i | ||||
\(260\) | 9.83200 | + | 14.4528i | 0.609755 | + | 0.896326i | ||||
\(261\) | 3.81324 | + | 2.77048i | 0.236034 | + | 0.171488i | ||||
\(262\) | 2.97237 | + | 4.09111i | 0.183634 | + | 0.252750i | ||||
\(263\) | 0.493919 | + | 0.679822i | 0.0304564 | + | 0.0419196i | 0.823974 | − | 0.566628i | \(-0.191752\pi\) |
−0.793517 | + | 0.608548i | \(0.791752\pi\) | |||||||
\(264\) | −2.82061 | − | 2.04929i | −0.173597 | − | 0.126125i | ||||
\(265\) | 0.296395 | − | 9.57382i | 0.0182074 | − | 0.588115i | ||||
\(266\) | 0.0811281 | − | 0.0589430i | 0.00497429 | − | 0.00361403i | ||||
\(267\) | −14.6806 | − | 4.77002i | −0.898438 | − | 0.291920i | ||||
\(268\) | 13.9228i | 0.850470i | ||||||||
\(269\) | 3.21757 | − | 9.90267i | 0.196179 | − | 0.603777i | −0.803782 | − | 0.594924i | \(-0.797182\pi\) |
0.999961 | − | 0.00885253i | \(-0.00281788\pi\) | |||||||
\(270\) | −0.604485 | − | 0.0187142i | −0.0367878 | − | 0.00113891i | ||||
\(271\) | −6.14166 | − | 18.9021i | −0.373079 | − | 1.14822i | −0.944765 | − | 0.327748i | \(-0.893710\pi\) |
0.571686 | − | 0.820473i | \(-0.306290\pi\) | |||||||
\(272\) | 8.48269 | − | 2.75619i | 0.514339 | − | 0.167119i | ||||
\(273\) | −2.38467 | + | 3.28222i | −0.144327 | + | 0.198649i | ||||
\(274\) | 3.30360 | 0.199578 | ||||||||
\(275\) | −4.09673 | − | 15.8941i | −0.247042 | − | 0.958448i | ||||
\(276\) | 16.5301 | 0.994992 | ||||||||
\(277\) | −6.19414 | + | 8.52550i | −0.372170 | + | 0.512247i | −0.953489 | − | 0.301428i | \(-0.902537\pi\) |
0.581319 | + | 0.813675i | \(0.302537\pi\) | |||||||
\(278\) | −2.96138 | + | 0.962212i | −0.177612 | + | 0.0577096i | ||||
\(279\) | −1.10051 | − | 3.38703i | −0.0658860 | − | 0.202776i | ||||
\(280\) | −1.87719 | − | 1.45469i | −0.112183 | − | 0.0869345i | ||||
\(281\) | 8.31603 | − | 25.5941i | 0.496093 | − | 1.52682i | −0.319154 | − | 0.947703i | \(-0.603399\pi\) |
0.815247 | − | 0.579114i | \(-0.196601\pi\) | |||||||
\(282\) | 2.40498i | 0.143215i | ||||||||
\(283\) | −14.9699 | − | 4.86400i | −0.889866 | − | 0.289135i | −0.171818 | − | 0.985129i | \(-0.554964\pi\) |
−0.718048 | + | 0.695994i | \(0.754964\pi\) | |||||||
\(284\) | −14.0207 | + | 10.1866i | −0.831976 | + | 0.604466i | ||||
\(285\) | −0.780185 | − | 0.280473i | −0.0462142 | − | 0.0166138i | ||||
\(286\) | −2.91413 | − | 2.11724i | −0.172316 | − | 0.125195i | ||||
\(287\) | −1.94067 | − | 2.67111i | −0.114554 | − | 0.157671i | ||||
\(288\) | 1.81551 | + | 2.49884i | 0.106980 | + | 0.147245i | ||||
\(289\) | −8.69341 | − | 6.31613i | −0.511377 | − | 0.371537i | ||||
\(290\) | −1.74608 | + | 2.25320i | −0.102533 | + | 0.132312i | ||||
\(291\) | −9.62382 | + | 6.99211i | −0.564158 | + | 0.409885i | ||||
\(292\) | −20.2822 | − | 6.59008i | −1.18692 | − | 0.385655i | ||||
\(293\) | − | 27.9963i | − | 1.63556i | −0.575531 | − | 0.817780i | \(-0.695204\pi\) | ||
0.575531 | − | 0.817780i | \(-0.304796\pi\) | |||||||
\(294\) | 0.0835778 | − | 0.257226i | 0.00487436 | − | 0.0150017i | ||||
\(295\) | 0.598531 | + | 2.05657i | 0.0348478 | + | 0.119738i | ||||
\(296\) | 1.87089 | + | 5.75802i | 0.108743 | + | 0.334678i | ||||
\(297\) | −3.12204 | + | 1.01441i | −0.181159 | + | 0.0588622i | ||||
\(298\) | 1.64541 | − | 2.26472i | 0.0953162 | − | 0.131191i | ||||
\(299\) | 34.8046 | 2.01280 | ||||||||
\(300\) | −0.595960 | + | 9.61580i | −0.0344078 | + | 0.555168i | ||||
\(301\) | 9.75390 | 0.562205 | ||||||||
\(302\) | 3.23813 | − | 4.45690i | 0.186333 | − | 0.256466i | ||||
\(303\) | −6.09784 | + | 1.98131i | −0.350312 | + | 0.113823i | ||||
\(304\) | 0.408624 | + | 1.25761i | 0.0234362 | + | 0.0721291i | ||||
\(305\) | −11.4449 | + | 7.78577i | −0.655334 | + | 0.445812i | ||||
\(306\) | −0.209017 | + | 0.643289i | −0.0119487 | + | 0.0367744i | ||||
\(307\) | 14.4567i | 0.825088i | 0.910938 | + | 0.412544i | \(0.135360\pi\) | ||||
−0.910938 | + | 0.412544i | \(0.864640\pi\) | |||||||
\(308\) | −6.01571 | − | 1.95462i | −0.342777 | − | 0.111375i | ||||
\(309\) | 3.01109 | − | 2.18769i | 0.171295 | − | 0.124453i | ||||
\(310\) | 2.06800 | − | 0.601858i | 0.117455 | − | 0.0341832i | ||||
\(311\) | −1.86825 | − | 1.35736i | −0.105939 | − | 0.0769689i | 0.533555 | − | 0.845766i | \(-0.320856\pi\) |
−0.639493 | + | 0.768797i | \(0.720856\pi\) | |||||||
\(312\) | 2.53269 | + | 3.48594i | 0.143385 | + | 0.197353i | ||||
\(313\) | 0.580196 | + | 0.798572i | 0.0327946 | + | 0.0451380i | 0.825099 | − | 0.564988i | \(-0.191119\pi\) |
−0.792305 | + | 0.610125i | \(0.791119\pi\) | |||||||
\(314\) | 2.67345 | + | 1.94237i | 0.150871 | + | 0.109614i | ||||
\(315\) | −2.14699 | + | 0.624846i | −0.120969 | + | 0.0352061i | ||||
\(316\) | −3.46272 | + | 2.51581i | −0.194793 | + | 0.141526i | ||||
\(317\) | 0.533698 | + | 0.173409i | 0.0299755 | + | 0.00973962i | 0.323966 | − | 0.946069i | \(-0.394984\pi\) |
−0.293991 | + | 0.955808i | \(0.594984\pi\) | |||||||
\(318\) | − | 1.15856i | − | 0.0649686i | ||||||
\(319\) | −4.78136 | + | 14.7155i | −0.267705 | + | 0.823910i | ||||
\(320\) | 11.6430 | − | 7.92050i | 0.650862 | − | 0.442769i | ||||
\(321\) | 4.27574 | + | 13.1594i | 0.238648 | + | 0.734484i | ||||
\(322\) | −2.20669 | + | 0.716997i | −0.122974 | + | 0.0399567i | ||||
\(323\) | −0.545024 | + | 0.750161i | −0.0303259 | + | 0.0417401i | ||||
\(324\) | 1.92685 | 0.107047 | ||||||||
\(325\) | −1.25481 | + | 20.2464i | −0.0696046 | + | 1.12307i | ||||
\(326\) | 4.58298 | 0.253828 | ||||||||
\(327\) | −2.58218 | + | 3.55407i | −0.142795 | + | 0.196541i | ||||
\(328\) | −3.33498 | + | 1.08360i | −0.184143 | + | 0.0598318i | ||||
\(329\) | 2.74780 | + | 8.45686i | 0.151491 | + | 0.466242i | ||||
\(330\) | −0.554771 | − | 1.90621i | −0.0305391 | − | 0.104934i | ||||
\(331\) | 6.43465 | − | 19.8038i | 0.353681 | − | 1.08852i | −0.603090 | − | 0.797673i | \(-0.706064\pi\) |
0.956771 | − | 0.290844i | \(-0.0939360\pi\) | |||||||
\(332\) | − | 22.5550i | − | 1.23787i | ||||||
\(333\) | 5.42151 | + | 1.76156i | 0.297097 | + | 0.0965326i | ||||
\(334\) | 0.118503 | − | 0.0860974i | 0.00648419 | − | 0.00471104i | ||||
\(335\) | −9.89685 | + | 12.7712i | −0.540722 | + | 0.697768i | ||||
\(336\) | 2.88532 | + | 2.09631i | 0.157407 | + | 0.114363i | ||||
\(337\) | 3.50963 | + | 4.83060i | 0.191182 | + | 0.263139i | 0.893838 | − | 0.448391i | \(-0.148003\pi\) |
−0.702656 | + | 0.711530i | \(0.748003\pi\) | |||||||
\(338\) | 0.549992 | + | 0.756999i | 0.0299156 | + | 0.0411753i | ||||
\(339\) | −6.72026 | − | 4.88256i | −0.364995 | − | 0.265184i | ||||
\(340\) | 10.1399 | + | 3.64522i | 0.549911 | + | 0.197690i | ||||
\(341\) | 9.45808 | − | 6.87169i | 0.512184 | − | 0.372123i | ||||
\(342\) | −0.0953719 | − | 0.0309882i | −0.00515712 | − | 0.00167565i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 3.20120 | − | 9.85229i | 0.172597 | − | 0.531200i | ||||
\(345\) | 15.1629 | + | 11.7502i | 0.816341 | + | 0.632608i | ||||
\(346\) | −0.686082 | − | 2.11154i | −0.0368840 | − | 0.113517i | ||||
\(347\) | 3.89774 | − | 1.26645i | 0.209242 | − | 0.0679867i | −0.202521 | − | 0.979278i | \(-0.564913\pi\) |
0.411762 | + | 0.911291i | \(0.364913\pi\) | |||||||
\(348\) | 5.33830 | − | 7.34754i | 0.286163 | − | 0.393869i | ||||
\(349\) | −25.1783 | −1.34776 | −0.673882 | − | 0.738839i | \(-0.735374\pi\) | ||||
−0.673882 | + | 0.738839i | \(0.735374\pi\) | |||||||
\(350\) | −0.337531 | − | 1.30952i | −0.0180418 | − | 0.0699966i | ||||
\(351\) | 4.05705 | 0.216549 | ||||||||
\(352\) | −5.95980 | + | 8.20296i | −0.317658 | + | 0.437219i | ||||
\(353\) | −20.9683 | + | 6.81303i | −1.11603 | + | 0.362621i | −0.808252 | − | 0.588837i | \(-0.799586\pi\) |
−0.307780 | + | 0.951457i | \(0.599586\pi\) | |||||||
\(354\) | 0.0800580 | + | 0.246393i | 0.00425503 | + | 0.0130956i | ||||
\(355\) | −20.1021 | − | 0.622339i | −1.06691 | − | 0.0330303i | ||||
\(356\) | −9.19110 | + | 28.2873i | −0.487128 | + | 1.49922i | ||||
\(357\) | 2.50087i | 0.132360i | ||||||||
\(358\) | −0.955360 | − | 0.310415i | −0.0504923 | − | 0.0164060i | ||||
\(359\) | −14.7116 | + | 10.6886i | −0.776446 | + | 0.564121i | −0.903910 | − | 0.427722i | \(-0.859316\pi\) |
0.127464 | + | 0.991843i | \(0.459316\pi\) | |||||||
\(360\) | −0.0734878 | + | 2.37372i | −0.00387315 | + | 0.125106i | ||||
\(361\) | 15.2601 | + | 11.0871i | 0.803164 | + | 0.583532i | ||||
\(362\) | 3.07235 | + | 4.22872i | 0.161479 | + | 0.222257i | ||||
\(363\) | 0.131556 | + | 0.181072i | 0.00690491 | + | 0.00950379i | ||||
\(364\) | 6.32434 | + | 4.59490i | 0.331486 | + | 0.240838i | ||||
\(365\) | −13.9202 | − | 20.4624i | −0.728615 | − | 1.07105i | ||||
\(366\) | −1.35452 | + | 0.984113i | −0.0708017 | + | 0.0514404i | ||||
\(367\) | 35.1868 | + | 11.4329i | 1.83674 | + | 0.596792i | 0.998689 | + | 0.0511947i | \(0.0163029\pi\) |
0.838048 | + | 0.545597i | \(0.183697\pi\) | |||||||
\(368\) | − | 30.5958i | − | 1.59492i | ||||||
\(369\) | −1.02027 | + | 3.14008i | −0.0531133 | + | 0.163466i | ||||
\(370\) | −1.16629 | + | 3.24426i | −0.0606327 | + | 0.168661i | ||||
\(371\) | −1.32370 | − | 4.07394i | −0.0687232 | − | 0.211508i | ||||
\(372\) | −6.52630 | + | 2.12052i | −0.338373 | + | 0.109944i | ||||
\(373\) | −9.00460 | + | 12.3938i | −0.466240 | + | 0.641725i | −0.975788 | − | 0.218717i | \(-0.929813\pi\) |
0.509548 | + | 0.860442i | \(0.329813\pi\) | |||||||
\(374\) | −2.22041 | −0.114814 | ||||||||
\(375\) | −7.38194 | + | 8.39684i | −0.381202 | + | 0.433611i | ||||
\(376\) | 9.44400 | 0.487037 | ||||||||
\(377\) | 11.2400 | − | 15.4705i | 0.578888 | − | 0.796771i | ||||
\(378\) | −0.257226 | + | 0.0835778i | −0.0132303 | + | 0.00429878i | ||||
\(379\) | 2.86160 | + | 8.80709i | 0.146990 | + | 0.452390i | 0.997262 | − | 0.0739550i | \(-0.0235621\pi\) |
−0.850271 | + | 0.526345i | \(0.823562\pi\) | |||||||
\(380\) | −0.540428 | + | 1.50330i | −0.0277234 | + | 0.0771177i | ||||
\(381\) | −6.73703 | + | 20.7345i | −0.345149 | + | 1.06226i | ||||
\(382\) | − | 1.44880i | − | 0.0741269i | ||||||
\(383\) | 6.43481 | + | 2.09080i | 0.328803 | + | 0.106835i | 0.468767 | − | 0.883322i | \(-0.344698\pi\) |
−0.139963 | + | 0.990157i | \(0.544698\pi\) | |||||||
\(384\) | 6.37563 | − | 4.63217i | 0.325355 | − | 0.236384i | ||||
\(385\) | −4.12873 | − | 6.06914i | −0.210420 | − | 0.309312i | ||||
\(386\) | 3.49130 | + | 2.53657i | 0.177702 | + | 0.129108i | ||||
\(387\) | −5.73320 | − | 7.89107i | −0.291435 | − | 0.401126i | ||||
\(388\) | 13.4727 | + | 18.5436i | 0.683975 | + | 0.941411i | ||||
\(389\) | −19.8473 | − | 14.4199i | −1.00630 | − | 0.731118i | −0.0428686 | − | 0.999081i | \(-0.513650\pi\) |
−0.963429 | + | 0.267962i | \(0.913650\pi\) | |||||||
\(390\) | −0.0759244 | + | 2.45242i | −0.00384458 | + | 0.124183i | ||||
\(391\) | 17.3570 | − | 12.6106i | 0.877783 | − | 0.637747i | ||||
\(392\) | −1.01009 | − | 0.328197i | −0.0510171 | − | 0.0165765i | ||||
\(393\) | − | 18.6971i | − | 0.943146i | ||||||
\(394\) | −1.06274 | + | 3.27078i | −0.0535401 | + | 0.164779i | ||||
\(395\) | −4.96466 | − | 0.153700i | −0.249799 | − | 0.00773350i | ||||
\(396\) | 1.95462 | + | 6.01571i | 0.0982234 | + | 0.302301i | ||||
\(397\) | −27.0078 | + | 8.77536i | −1.35548 | + | 0.440423i | −0.894532 | − | 0.447003i | \(-0.852491\pi\) |
−0.460950 | + | 0.887426i | \(0.652491\pi\) | |||||||
\(398\) | 0.768986 | − | 1.05842i | 0.0385458 | − | 0.0530537i | ||||
\(399\) | −0.370771 | −0.0185617 | ||||||||
\(400\) | 17.7981 | + | 1.10308i | 0.889905 | + | 0.0551538i | ||||
\(401\) | −26.1328 | −1.30501 | −0.652505 | − | 0.757785i | \(-0.726282\pi\) | ||||
−0.652505 | + | 0.757785i | \(0.726282\pi\) | |||||||
\(402\) | −1.14870 | + | 1.58105i | −0.0572919 | + | 0.0788555i | ||||
\(403\) | −13.7413 | + | 4.46483i | −0.684505 | + | 0.222409i | ||||
\(404\) | 3.81768 | + | 11.7496i | 0.189937 | + | 0.584566i | ||||
\(405\) | 1.76748 | + | 1.36968i | 0.0878268 | + | 0.0680598i | ||||
\(406\) | −0.393938 | + | 1.21242i | −0.0195508 | + | 0.0601712i | ||||
\(407\) | 18.7131i | 0.927575i | ||||||||
\(408\) | 2.52610 | + | 0.820780i | 0.125061 | + | 0.0406347i | ||||
\(409\) | −3.94082 | + | 2.86317i | −0.194861 | + | 0.141575i | −0.680938 | − | 0.732341i | \(-0.738428\pi\) |
0.486077 | + | 0.873916i | \(0.338428\pi\) | |||||||
\(410\) | −1.87904 | − | 0.675504i | −0.0927990 | − | 0.0333607i | ||||
\(411\) | −9.88182 | − | 7.17956i | −0.487434 | − | 0.354142i | ||||
\(412\) | −4.21534 | − | 5.80192i | −0.207675 | − | 0.285840i | ||||
\(413\) | 0.563031 | + | 0.774946i | 0.0277049 | + | 0.0381326i | ||||
\(414\) | 1.87712 | + | 1.36381i | 0.0922556 | + | 0.0670276i | ||||
\(415\) | 16.0330 | − | 20.6895i | 0.787027 | − | 1.01561i | ||||
\(416\) | 10.1379 | − | 7.36561i | 0.497051 | − | 0.361129i | ||||
\(417\) | 10.9493 | + | 3.55764i | 0.536189 | + | 0.174218i | ||||
\(418\) | − | 0.329190i | − | 0.0161012i | ||||||
\(419\) | 11.3251 | − | 34.8550i | 0.553267 | − | 1.70278i | −0.147211 | − | 0.989105i | \(-0.547030\pi\) |
0.700477 | − | 0.713675i | \(-0.252970\pi\) | |||||||
\(420\) | 1.20398 | + | 4.13693i | 0.0587484 | + | 0.201861i | ||||
\(421\) | −11.0316 | − | 33.9519i | −0.537649 | − | 1.65471i | −0.737854 | − | 0.674960i | \(-0.764161\pi\) |
0.200205 | − | 0.979754i | \(-0.435839\pi\) | |||||||
\(422\) | −6.34673 | + | 2.06218i | −0.308954 | + | 0.100385i | ||||
\(423\) | 5.22663 | − | 7.19384i | 0.254127 | − | 0.349776i | ||||
\(424\) | −4.54947 | −0.220942 | ||||||||
\(425\) | 6.71003 | + | 10.5515i | 0.325484 | + | 0.511824i | ||||
\(426\) | −2.43261 | −0.117861 | ||||||||
\(427\) | −3.63862 | + | 5.00813i | −0.176085 | + | 0.242360i | ||||
\(428\) | 25.3561 | − | 8.23870i | 1.22563 | − | 0.398232i | ||||
\(429\) | 4.11552 | + | 12.6663i | 0.198699 | + | 0.611533i | ||||
\(430\) | 4.87733 | − | 3.31796i | 0.235206 | − | 0.160006i | ||||
\(431\) | 8.51676 | − | 26.2119i | 0.410238 | − | 1.26258i | −0.506204 | − | 0.862414i | \(-0.668952\pi\) |
0.916442 | − | 0.400168i | \(-0.131048\pi\) | |||||||
\(432\) | − | 3.56645i | − | 0.171591i | ||||||
\(433\) | 15.5701 | + | 5.05904i | 0.748252 | + | 0.243122i | 0.658229 | − | 0.752818i | \(-0.271306\pi\) |
0.0900231 | + | 0.995940i | \(0.471306\pi\) | |||||||
\(434\) | 0.779254 | − | 0.566161i | 0.0374054 | − | 0.0271766i | ||||
\(435\) | 10.1197 | − | 2.94516i | 0.485201 | − | 0.141210i | ||||
\(436\) | 6.84816 | + | 4.97548i | 0.327967 | + | 0.238282i | ||||
\(437\) | 1.86961 | + | 2.57329i | 0.0894354 | + | 0.123097i | ||||
\(438\) | −1.75949 | − | 2.42174i | −0.0840719 | − | 0.115715i | ||||
\(439\) | −17.7100 | − | 12.8670i | −0.845250 | − | 0.614110i | 0.0785819 | − | 0.996908i | \(-0.474961\pi\) |
−0.923832 | + | 0.382797i | \(0.874961\pi\) | |||||||
\(440\) | −7.48541 | + | 2.17850i | −0.356853 | + | 0.103856i | ||||
\(441\) | −0.809017 | + | 0.587785i | −0.0385246 | + | 0.0279898i | ||||
\(442\) | 2.60985 | + | 0.847993i | 0.124138 | + | 0.0403349i | ||||
\(443\) | − | 19.9833i | − | 0.949435i | −0.880138 | − | 0.474718i | \(-0.842550\pi\) | ||
0.880138 | − | 0.474718i | \(-0.157450\pi\) | |||||||
\(444\) | 3.39425 | − | 10.4464i | 0.161084 | − | 0.495766i | ||||
\(445\) | −28.5386 | + | 19.4143i | −1.35286 | + | 0.920326i | ||||
\(446\) | −1.95553 | − | 6.01850i | −0.0925970 | − | 0.284984i | ||||
\(447\) | −9.84359 | + | 3.19838i | −0.465586 | + | 0.151278i | ||||
\(448\) | 3.70158 | − | 5.09479i | 0.174883 | − | 0.240706i | ||||
\(449\) | 20.7894 | 0.981115 | 0.490557 | − | 0.871409i | \(-0.336793\pi\) | ||||
0.490557 | + | 0.871409i | \(0.336793\pi\) | |||||||
\(450\) | −0.861026 | + | 1.04278i | −0.0405892 | + | 0.0491573i | ||||
\(451\) | −10.8384 | −0.510362 | ||||||||
\(452\) | −9.40795 | + | 12.9489i | −0.442513 | + | 0.609067i | ||||
\(453\) | −19.3719 | + | 6.29432i | −0.910173 | + | 0.295733i | ||||
\(454\) | 0.847401 | + | 2.60803i | 0.0397705 | + | 0.122401i | ||||
\(455\) | 2.53503 | + | 8.71044i | 0.118844 | + | 0.408352i | ||||
\(456\) | −0.121686 | + | 0.374511i | −0.00569847 | + | 0.0175381i | ||||
\(457\) | − | 22.9355i | − | 1.07288i | −0.843939 | − | 0.536440i | \(-0.819769\pi\) | ||
0.843939 | − | 0.536440i | \(-0.180231\pi\) | |||||||
\(458\) | 5.52896 | + | 1.79647i | 0.258351 | + | 0.0839434i | ||||
\(459\) | 2.02325 | − | 1.46998i | 0.0944371 | − | 0.0686126i | ||||
\(460\) | 22.6408 | − | 29.2165i | 1.05563 | − | 1.36223i | ||||
\(461\) | 3.05007 | + | 2.21600i | 0.142056 | + | 0.103210i | 0.656543 | − | 0.754288i | \(-0.272018\pi\) |
−0.514488 | + | 0.857498i | \(0.672018\pi\) | |||||||
\(462\) | −0.521867 | − | 0.718288i | −0.0242794 | − | 0.0334178i | ||||
\(463\) | 10.6929 | + | 14.7175i | 0.496940 | + | 0.683979i | 0.981649 | − | 0.190696i | \(-0.0610745\pi\) |
−0.484709 | + | 0.874675i | \(0.661074\pi\) | |||||||
\(464\) | −13.5997 | − | 9.88077i | −0.631351 | − | 0.458703i | ||||
\(465\) | −7.49385 | − | 2.69400i | −0.347519 | − | 0.124931i | ||||
\(466\) | 1.36922 | − | 0.994796i | 0.0634279 | − | 0.0460830i | ||||
\(467\) | −18.3454 | − | 5.96079i | −0.848925 | − | 0.275832i | −0.147929 | − | 0.988998i | \(-0.547261\pi\) |
−0.700996 | + | 0.713166i | \(0.747261\pi\) | |||||||
\(468\) | − | 7.81732i | − | 0.361356i | ||||||
\(469\) | −2.23286 | + | 6.87203i | −0.103104 | + | 0.317321i | ||||
\(470\) | 4.25076 | + | 3.29405i | 0.196073 | + | 0.151943i | ||||
\(471\) | −3.77561 | − | 11.6201i | −0.173971 | − | 0.535428i | ||||
\(472\) | 0.967549 | − | 0.314376i | 0.0445350 | − | 0.0144703i | ||||
\(473\) | 18.8204 | − | 25.9041i | 0.865364 | − | 1.19107i | ||||
\(474\) | −0.600787 | −0.0275951 | ||||||||
\(475\) | −1.56433 | + | 0.994805i | −0.0717765 | + | 0.0456448i | ||||
\(476\) | 4.81880 | 0.220869 | ||||||||
\(477\) | −2.51783 | + | 3.46550i | −0.115284 | + | 0.158674i | ||||
\(478\) | 1.93656 | − | 0.629225i | 0.0885760 | − | 0.0287801i | ||||
\(479\) | −3.49095 | − | 10.7440i | −0.159506 | − | 0.490908i | 0.839084 | − | 0.544002i | \(-0.183092\pi\) |
−0.998590 | + | 0.0530943i | \(0.983092\pi\) | |||||||
\(480\) | 6.90331 | + | 0.213719i | 0.315092 | + | 0.00975489i | ||||
\(481\) | 7.14671 | − | 21.9953i | 0.325862 | − | 1.00290i | ||||
\(482\) | 3.00728i | 0.136978i | ||||||||
\(483\) | 8.15892 | + | 2.65099i | 0.371244 | + | 0.120624i | ||||
\(484\) | 0.348898 | − | 0.253489i | 0.0158590 | − | 0.0115222i | ||||
\(485\) | −0.823099 | + | 26.5868i | −0.0373750 | + | 1.20725i | ||||
\(486\) | 0.218810 | + | 0.158974i | 0.00992540 | + | 0.00721123i | ||||
\(487\) | 9.57981 | + | 13.1855i | 0.434102 | + | 0.597491i | 0.968889 | − | 0.247497i | \(-0.0796079\pi\) |
−0.534786 | + | 0.844987i | \(0.679608\pi\) | |||||||
\(488\) | 3.86446 | + | 5.31898i | 0.174936 | + | 0.240779i | ||||
\(489\) | −13.7087 | − | 9.95997i | −0.619930 | − | 0.450406i | ||||
\(490\) | −0.340167 | − | 0.500039i | −0.0153672 | − | 0.0225894i | ||||
\(491\) | 28.2270 | − | 20.5081i | 1.27387 | − | 0.925519i | 0.274518 | − | 0.961582i | \(-0.411482\pi\) |
0.999350 | + | 0.0360633i | \(0.0114818\pi\) | |||||||
\(492\) | 6.05045 | + | 1.96591i | 0.272776 | + | 0.0886302i | ||||
\(493\) | − | 11.7877i | − | 0.530890i | ||||||
\(494\) | −0.125721 | + | 0.386928i | −0.00565643 | + | 0.0174087i | ||||
\(495\) | −2.48323 | + | 6.90757i | −0.111613 | + | 0.310472i | ||||
\(496\) | 3.92492 | + | 12.0797i | 0.176234 | + | 0.542393i | ||||
\(497\) | −8.55403 | + | 2.77937i | −0.383701 | + | 0.124672i | ||||
\(498\) | 1.86090 | − | 2.56131i | 0.0833889 | − | 0.114775i | ||||
\(499\) | 10.5424 | 0.471944 | 0.235972 | − | 0.971760i | \(-0.424173\pi\) | ||||
0.235972 | + | 0.971760i | \(0.424173\pi\) | |||||||
\(500\) | 16.1795 | + | 14.2239i | 0.723567 | + | 0.636111i | ||||
\(501\) | −0.541580 | −0.0241960 | ||||||||
\(502\) | −0.287343 | + | 0.395494i | −0.0128248 | + | 0.0176518i | ||||
\(503\) | 35.5637 | − | 11.5553i | 1.58571 | − | 0.515227i | 0.622187 | − | 0.782869i | \(-0.286244\pi\) |
0.963519 | + | 0.267642i | \(0.0862443\pi\) | |||||||
\(504\) | 0.328197 | + | 1.01009i | 0.0146191 | + | 0.0449929i | ||||
\(505\) | −4.85015 | + | 13.4916i | −0.215829 | + | 0.600367i | ||||
\(506\) | −2.35369 | + | 7.24392i | −0.104634 | + | 0.322032i | ||||
\(507\) | − | 3.45962i | − | 0.153647i | ||||||
\(508\) | 39.9522 | + | 12.9813i | 1.77259 | + | 0.575950i | ||||
\(509\) | −9.61821 | + | 6.98804i | −0.426320 | + | 0.309739i | −0.780176 | − | 0.625561i | \(-0.784870\pi\) |
0.353856 | + | 0.935300i | \(0.384870\pi\) | |||||||
\(510\) | 0.850715 | + | 1.25053i | 0.0376703 | + | 0.0553745i | ||||
\(511\) | −8.95402 | − | 6.50548i | −0.396103 | − | 0.287785i | ||||
\(512\) | −10.9278 | − | 15.0408i | −0.482944 | − | 0.664715i | ||||
\(513\) | 0.217933 | + | 0.299960i | 0.00962200 | + | 0.0132435i | ||||
\(514\) | 1.41535 | + | 1.02831i | 0.0624282 | + | 0.0453567i | ||||
\(515\) | 0.257531 | − | 8.31846i | 0.0113482 | − | 0.366555i | ||||
\(516\) | −15.2049 | + | 11.0470i | −0.669358 | + | 0.486317i | ||||
\(517\) | 27.7614 | + | 9.02024i | 1.22095 | + | 0.396710i | ||||
\(518\) | 1.54178i | 0.0677419i | ||||||||
\(519\) | −2.53669 | + | 7.80713i | −0.111348 | + | 0.342695i | ||||
\(520\) | 9.63030 | + | 0.298144i | 0.422317 | + | 0.0130745i | ||||
\(521\) | 3.63157 | + | 11.1768i | 0.159102 | + | 0.489665i | 0.998553 | − | 0.0537695i | \(-0.0171236\pi\) |
−0.839452 | + | 0.543435i | \(0.817124\pi\) | |||||||
\(522\) | 1.21242 | − | 0.393938i | 0.0530660 | − | 0.0172422i | ||||
\(523\) | −3.28045 | + | 4.51516i | −0.143444 | + | 0.197434i | −0.874694 | − | 0.484676i | \(-0.838938\pi\) |
0.731250 | + | 0.682110i | \(0.238938\pi\) | |||||||
\(524\) | −36.0266 | −1.57383 | ||||||||
\(525\) | −1.83628 | + | 4.65060i | −0.0801419 | + | 0.202969i | ||||
\(526\) | 0.227272 | 0.00990953 | ||||||||
\(527\) | −5.23507 | + | 7.20546i | −0.228043 | + | 0.313875i | ||||
\(528\) | 11.1346 | − | 3.61785i | 0.484571 | − | 0.157447i | ||||
\(529\) | −15.6350 | − | 48.1194i | −0.679781 | − | 2.09215i | ||||
\(530\) | −2.04772 | − | 1.58685i | −0.0889474 | − | 0.0689282i | ||||
\(531\) | 0.296003 | − | 0.911003i | 0.0128454 | − | 0.0395342i | ||||
\(532\) | 0.714419i | 0.0309740i | ||||||||
\(533\) | 12.7394 | + | 4.13929i | 0.551806 | + | 0.179293i | ||||
\(534\) | −3.37757 | + | 2.45395i | −0.146162 | + | 0.106193i | ||||
\(535\) | 29.1153 | + | 10.4668i | 1.25876 | + | 0.452519i | ||||
\(536\) | 6.20854 | + | 4.51077i | 0.268168 | + | 0.194835i | ||||
\(537\) | 2.18309 | + | 3.00476i | 0.0942071 | + | 0.129665i | ||||
\(538\) | −1.65529 | − | 2.27831i | −0.0713645 | − | 0.0982248i | ||||
\(539\) | −2.65577 | − | 1.92953i | −0.114392 | − | 0.0831107i | ||||
\(540\) | 2.63916 | − | 3.40567i | 0.113571 | − | 0.146557i | ||||
\(541\) | 32.4102 | − | 23.5474i | 1.39342 | − | 1.01238i | 0.397944 | − | 0.917410i | \(-0.369724\pi\) |
0.995480 | − | 0.0949718i | \(-0.0302761\pi\) | |||||||
\(542\) | −5.11233 | − | 1.66110i | −0.219593 | − | 0.0713502i | ||||
\(543\) | − | 19.3260i | − | 0.829360i | ||||||
\(544\) | 2.38701 | − | 7.34646i | 0.102342 | − | 0.314977i | ||||
\(545\) | 2.74499 | + | 9.43189i | 0.117583 | + | 0.404018i | ||||
\(546\) | 0.339079 | + | 1.04358i | 0.0145112 | + | 0.0446610i | ||||
\(547\) | 10.9558 | − | 3.55975i | 0.468435 | − | 0.152204i | −0.0652822 | − | 0.997867i | \(-0.520795\pi\) |
0.533717 | + | 0.845663i | \(0.320795\pi\) | |||||||
\(548\) | −13.8339 | + | 19.0408i | −0.590957 | + | 0.813382i | ||||
\(549\) | 6.19039 | 0.264199 | ||||||||
\(550\) | −4.12905 | − | 1.63035i | −0.176063 | − | 0.0695183i | ||||
\(551\) | 1.74760 | 0.0744502 | ||||||||
\(552\) | 5.35548 | − | 7.37118i | 0.227944 | − | 0.313738i | ||||
\(553\) | −2.11261 | + | 0.686427i | −0.0898371 | + | 0.0291899i | ||||
\(554\) | 0.880751 | + | 2.71067i | 0.0374195 | + | 0.115165i | ||||
\(555\) | 10.5392 | − | 7.16965i | 0.447365 | − | 0.304335i | ||||
\(556\) | 6.85504 | − | 21.0976i | 0.290718 | − | 0.894739i | ||||
\(557\) | − | 31.9773i | − | 1.35492i | −0.735559 | − | 0.677461i | \(-0.763080\pi\) | ||
0.735559 | − | 0.677461i | \(-0.236920\pi\) | |||||||
\(558\) | −0.916068 | − | 0.297648i | −0.0387802 | − | 0.0126005i | ||||
\(559\) | −32.0144 | + | 23.2598i | −1.35407 | + | 0.983787i | ||||
\(560\) | 7.65713 | − | 2.22848i | 0.323573 | − | 0.0941704i | ||||
\(561\) | 6.64173 | + | 4.82550i | 0.280414 | + | 0.203733i | ||||
\(562\) | −4.27820 | − | 5.88844i | −0.180465 | − | 0.248389i | ||||
\(563\) | −1.10002 | − | 1.51405i | −0.0463603 | − | 0.0638094i | 0.785208 | − | 0.619233i | \(-0.212556\pi\) |
−0.831568 | + | 0.555423i | \(0.812556\pi\) | |||||||
\(564\) | −13.8614 | − | 10.0709i | −0.583672 | − | 0.424063i | ||||
\(565\) | −17.8344 | + | 5.19041i | −0.750299 | + | 0.218362i | ||||
\(566\) | −3.44412 | + | 2.50230i | −0.144767 | + | 0.105179i | ||||
\(567\) | 0.951057 | + | 0.309017i | 0.0399406 | + | 0.0129775i | ||||
\(568\) | 9.55251i | 0.400814i | ||||||||
\(569\) | 5.08187 | − | 15.6404i | 0.213043 | − | 0.655679i | −0.786244 | − | 0.617916i | \(-0.787977\pi\) |
0.999287 | − | 0.0377624i | \(-0.0120230\pi\) | |||||||
\(570\) | −0.185400 | + | 0.126124i | −0.00776554 | + | 0.00528275i | ||||
\(571\) | −9.50811 | − | 29.2630i | −0.397902 | − | 1.22462i | −0.926678 | − | 0.375855i | \(-0.877349\pi\) |
0.528776 | − | 0.848761i | \(-0.322651\pi\) | |||||||
\(572\) | 24.4060 | − | 7.92999i | 1.02047 | − | 0.331570i | ||||
\(573\) | −3.14860 | + | 4.33368i | −0.131535 | + | 0.181042i | ||||
\(574\) | −0.892982 | −0.0372723 | ||||||||
\(575\) | 41.5364 | − | 10.7061i | 1.73219 | − | 0.446475i | ||||
\(576\) | −6.29751 | −0.262396 | ||||||||
\(577\) | 6.67840 | − | 9.19202i | 0.278025 | − | 0.382669i | −0.647053 | − | 0.762445i | \(-0.723999\pi\) |
0.925079 | + | 0.379776i | \(0.123999\pi\) | |||||||
\(578\) | −2.76406 | + | 0.898097i | −0.114970 | + | 0.0373559i | ||||
\(579\) | −4.93063 | − | 15.1749i | −0.204910 | − | 0.630649i | ||||
\(580\) | −5.67488 | − | 19.4991i | −0.235637 | − | 0.809656i | ||||
\(581\) | 3.61724 | − | 11.1327i | 0.150069 | − | 0.461864i | ||||
\(582\) | 3.21735i | 0.133363i | ||||||||
\(583\) | −13.3736 | − | 4.34533i | −0.553876 | − | 0.179965i | ||||
\(584\) | −9.50979 | + | 6.90927i | −0.393518 | + | 0.285908i | ||||
\(585\) | 5.55684 | − | 7.17075i | 0.229747 | − | 0.296474i | ||||
\(586\) | −6.12585 | − | 4.45069i | −0.253057 | − | 0.183856i | ||||
\(587\) | 20.2163 | + | 27.8254i | 0.834418 | + | 1.14848i | 0.987085 | + | 0.160200i | \(0.0512139\pi\) |
−0.152667 | + | 0.988278i | \(0.548786\pi\) | |||||||
\(588\) | 1.13257 | + | 1.55885i | 0.0467066 | + | 0.0642861i | ||||
\(589\) | −1.06826 | − | 0.776134i | −0.0440167 | − | 0.0319800i | ||||
\(590\) | 0.545149 | + | 0.195978i | 0.0224434 | + | 0.00806829i | ||||
\(591\) | 10.2871 | − | 7.47403i | 0.423155 | − | 0.307440i | ||||
\(592\) | −19.3355 | − | 6.28249i | −0.794685 | − | 0.258209i | ||||
\(593\) | 12.1372i | 0.498415i | 0.968450 | + | 0.249208i | \(0.0801701\pi\) | ||||
−0.968450 | + | 0.249208i | \(0.919830\pi\) | |||||||
\(594\) | −0.274362 | + | 0.844398i | −0.0112572 | + | 0.0346461i | ||||
\(595\) | 4.42024 | + | 3.42539i | 0.181212 | + | 0.140427i | ||||
\(596\) | 6.16279 | + | 18.9671i | 0.252438 | + | 0.776924i | ||||
\(597\) | −4.60042 | + | 1.49477i | −0.188283 | + | 0.0611768i | ||||
\(598\) | 5.53304 | − | 7.61557i | 0.226263 | − | 0.311424i | ||||
\(599\) | 11.1321 | 0.454846 | 0.227423 | − | 0.973796i | \(-0.426970\pi\) | ||||
0.227423 | + | 0.973796i | \(0.426970\pi\) | |||||||
\(600\) | 4.09485 | + | 3.38112i | 0.167172 | + | 0.138034i | ||||
\(601\) | −9.38741 | −0.382920 | −0.191460 | − | 0.981500i | \(-0.561322\pi\) | ||||
−0.191460 | + | 0.981500i | \(0.561322\pi\) | |||||||
\(602\) | 1.55062 | − | 2.13425i | 0.0631986 | − | 0.0869854i | ||||
\(603\) | 6.87203 | − | 2.23286i | 0.279851 | − | 0.0909290i | ||||
\(604\) | 12.1282 | + | 37.3268i | 0.493490 | + | 1.51881i | ||||
\(605\) | 0.500230 | + | 0.0154866i | 0.0203372 | + | 0.000629619i | ||||
\(606\) | −0.535872 | + | 1.64924i | −0.0217683 | + | 0.0669959i | ||||
\(607\) | − | 5.23971i | − | 0.212673i | −0.994330 | − | 0.106337i | \(-0.966088\pi\) | ||
0.994330 | − | 0.106337i | \(-0.0339121\pi\) | |||||||
\(608\) | 1.08916 | + | 0.353890i | 0.0441713 | + | 0.0143521i | ||||
\(609\) | 3.81324 | − | 2.77048i | 0.154520 | − | 0.112266i | ||||
\(610\) | −0.115848 | + | 3.74200i | −0.00469055 | + | 0.151509i | ||||
\(611\) | −29.1857 | − | 21.2047i | −1.18073 | − | 0.857849i | ||||
\(612\) | −2.83242 | − | 3.89849i | −0.114494 | − | 0.157587i | ||||
\(613\) | 8.23723 | + | 11.3376i | 0.332699 | + | 0.457920i | 0.942291 | − | 0.334795i | \(-0.108667\pi\) |
−0.609593 | + | 0.792715i | \(0.708667\pi\) | |||||||
\(614\) | 3.16327 | + | 2.29825i | 0.127659 | + | 0.0927497i | ||||
\(615\) | 4.15258 | + | 6.10420i | 0.167448 | + | 0.246145i | ||||
\(616\) | −2.82061 | + | 2.04929i | −0.113646 | + | 0.0825684i | ||||
\(617\) | 3.28524 | + | 1.06744i | 0.132259 | + | 0.0429735i | 0.374399 | − | 0.927268i | \(-0.377849\pi\) |
−0.242140 | + | 0.970241i | \(0.577849\pi\) | |||||||
\(618\) | − | 1.00664i | − | 0.0404931i | ||||||
\(619\) | 1.03614 | − | 3.18893i | 0.0416462 | − | 0.128174i | −0.928072 | − | 0.372402i | \(-0.878534\pi\) |
0.969718 | + | 0.244228i | \(0.0785344\pi\) | |||||||
\(620\) | −5.19094 | + | 14.4395i | −0.208473 | + | 0.579905i | ||||
\(621\) | −2.65099 | − | 8.15892i | −0.106381 | − | 0.327406i | ||||
\(622\) | −0.594007 | + | 0.193005i | −0.0238175 | + | 0.00773878i | ||||
\(623\) | −9.07311 | + | 12.4881i | −0.363507 | + | 0.500324i | ||||
\(624\) | −14.4692 | −0.579233 | ||||||||
\(625\) | 4.73039 | + | 24.5484i | 0.189216 | + | 0.981936i | ||||
\(626\) | 0.266972 | 0.0106703 | ||||||||
\(627\) | −0.715412 | + | 0.984681i | −0.0285708 | + | 0.0393244i | ||||
\(628\) | −22.3903 | + | 7.27504i | −0.893469 | + | 0.290306i | ||||
\(629\) | −4.40542 | − | 13.5585i | −0.175656 | − | 0.540613i | ||||
\(630\) | −0.204594 | + | 0.569117i | −0.00815124 | + | 0.0226741i | ||||
\(631\) | −4.41395 | + | 13.5847i | −0.175717 | + | 0.540800i | −0.999665 | − | 0.0258640i | \(-0.991766\pi\) |
0.823949 | + | 0.566664i | \(0.191766\pi\) | |||||||
\(632\) | 2.35920i | 0.0938440i | ||||||||
\(633\) | 23.4661 | + | 7.62461i | 0.932695 | + | 0.303051i | ||||
\(634\) | 0.122788 | − | 0.0892106i | 0.00487653 | − | 0.00354301i | ||||
\(635\) | 27.4202 | + | 40.3071i | 1.08814 | + | 1.59954i | ||||
\(636\) | 6.67750 | + | 4.85149i | 0.264780 | + | 0.192374i | ||||
\(637\) | 2.38467 | + | 3.28222i | 0.0944841 | + | 0.130046i | ||||
\(638\) | 2.45978 | + | 3.38560i | 0.0973836 | + | 0.134037i | ||||
\(639\) | 7.27650 | + | 5.28668i | 0.287854 | + | 0.209138i | ||||
\(640\) | 0.545291 | − | 17.6134i | 0.0215545 | − | 0.696229i | ||||
\(641\) | −32.2135 | + | 23.4044i | −1.27235 | + | 0.924420i | −0.999294 | − | 0.0375768i | \(-0.988036\pi\) |
−0.273061 | + | 0.961997i | \(0.588036\pi\) | |||||||
\(642\) | 3.55913 | + | 1.15643i | 0.140468 | + | 0.0456407i | ||||
\(643\) | − | 36.7255i | − | 1.44831i | −0.689635 | − | 0.724157i | \(-0.742229\pi\) | ||
0.689635 | − | 0.724157i | \(-0.257771\pi\) | |||||||
\(644\) | 5.10807 | − | 15.7210i | 0.201286 | − | 0.619495i | ||||
\(645\) | −21.7999 | − | 0.674902i | −0.858371 | − | 0.0265742i | ||||
\(646\) | 0.0774975 | + | 0.238513i | 0.00304910 | + | 0.00938416i | ||||
\(647\) | −47.3364 | + | 15.3805i | −1.86099 | + | 0.604671i | −0.866580 | + | 0.499039i | \(0.833687\pi\) |
−0.994405 | + | 0.105632i | \(0.966313\pi\) | |||||||
\(648\) | 0.624269 | − | 0.859232i | 0.0245236 | − | 0.0337538i | ||||
\(649\) | 3.14446 | 0.123431 | ||||||||
\(650\) | 4.23062 | + | 3.49322i | 0.165939 | + | 0.137015i | ||||
\(651\) | −3.56133 | −0.139580 | ||||||||
\(652\) | −19.1914 | + | 26.4147i | −0.751592 | + | 1.03448i | ||||
\(653\) | −12.6464 | + | 4.10908i | −0.494893 | + | 0.160801i | −0.545821 | − | 0.837902i | \(-0.683782\pi\) |
0.0509278 | + | 0.998702i | \(0.483782\pi\) | |||||||
\(654\) | 0.367163 | + | 1.13001i | 0.0143572 | + | 0.0441870i | ||||
\(655\) | −33.0468 | − | 25.6090i | −1.29125 | − | 1.00063i | ||||
\(656\) | 3.63875 | − | 11.1989i | 0.142069 | − | 0.437244i | ||||
\(657\) | 11.0678i | 0.431795i | ||||||||
\(658\) | 2.28727 | + | 0.743180i | 0.0891672 | + | 0.0289722i | ||||
\(659\) | −22.8352 | + | 16.5908i | −0.889534 | + | 0.646284i | −0.935757 | − | 0.352647i | \(-0.885282\pi\) |
0.0462224 | + | 0.998931i | \(0.485282\pi\) | |||||||
\(660\) | 13.3098 | + | 4.78482i | 0.518085 | + | 0.186249i | ||||
\(661\) | 30.3664 | + | 22.0625i | 1.18112 | + | 0.858131i | 0.992297 | − | 0.123880i | \(-0.0395339\pi\) |
0.188819 | + | 0.982012i | \(0.439534\pi\) | |||||||
\(662\) | −3.31032 | − | 4.55627i | −0.128659 | − | 0.177084i | ||||
\(663\) | −5.96376 | − | 8.20841i | −0.231613 | − | 0.318788i | ||||
\(664\) | −10.0579 | − | 7.30747i | −0.390321 | − | 0.283585i | ||||
\(665\) | −0.507836 | + | 0.655330i | −0.0196930 | + | 0.0254126i | ||||
\(666\) | 1.24733 | − | 0.906236i | 0.0483329 | − | 0.0351159i | ||||
\(667\) | −38.4564 | − | 12.4953i | −1.48904 | − | 0.483818i | ||||
\(668\) | 1.04354i | 0.0403759i | ||||||||
\(669\) | −7.23029 | + | 22.2525i | −0.279539 | + | 0.860333i | ||||
\(670\) | 1.22112 | + | 4.19583i | 0.0471762 | + | 0.162099i | ||||
\(671\) | 6.27961 | + | 19.3266i | 0.242422 | + | 0.746097i | ||||
\(672\) | 2.93756 | − | 0.954471i | 0.113319 | − | 0.0368195i | ||||
\(673\) | −20.9043 | + | 28.7723i | −0.805800 | + | 1.10909i | 0.186157 | + | 0.982520i | \(0.440397\pi\) |
−0.991958 | + | 0.126569i | \(0.959603\pi\) | |||||||
\(674\) | 1.61492 | 0.0622045 | ||||||||
\(675\) | 4.84175 | − | 1.24797i | 0.186359 | − | 0.0480344i | ||||
\(676\) | −6.66617 | −0.256391 | ||||||||
\(677\) | −18.6713 | + | 25.6989i | −0.717598 | + | 0.987688i | 0.282003 | + | 0.959414i | \(0.409001\pi\) |
−0.999600 | + | 0.0282747i | \(0.990999\pi\) | |||||||
\(678\) | −2.13670 | + | 0.694256i | −0.0820595 | + | 0.0266627i | ||||
\(679\) | 3.67597 | + | 11.3135i | 0.141071 | + | 0.434171i | ||||
\(680\) | 4.91065 | − | 3.34063i | 0.188315 | − | 0.128107i | ||||
\(681\) | 3.13315 | − | 9.64283i | 0.120062 | − | 0.369514i | ||||
\(682\) | − | 3.16194i | − | 0.121077i | ||||||
\(683\) | −35.7464 | − | 11.6147i | −1.36780 | − | 0.444425i | −0.469160 | − | 0.883113i | \(-0.655443\pi\) |
−0.898639 | + | 0.438688i | \(0.855443\pi\) | |||||||
\(684\) | 0.577977 | − | 0.419925i | 0.0220995 | − | 0.0160562i | ||||
\(685\) | −26.2246 | + | 7.63224i | −1.00199 | + | 0.291613i | ||||
\(686\) | −0.218810 | − | 0.158974i | −0.00835419 | − | 0.00606967i | ||||
\(687\) | −12.6342 | − | 17.3895i | −0.482024 | − | 0.663449i | ||||
\(688\) | 20.4471 | + | 28.1431i | 0.779540 | + | 1.07295i | ||||
\(689\) | 14.0597 | + | 10.2150i | 0.535632 | + | 0.389159i | ||||
\(690\) | 4.98156 | − | 1.44980i | 0.189645 | − | 0.0551929i | ||||
\(691\) | 16.0123 | − | 11.6336i | 0.609137 | − | 0.442564i | −0.239973 | − | 0.970780i | \(-0.577139\pi\) |
0.849110 | + | 0.528215i | \(0.177139\pi\) | |||||||
\(692\) | 15.0432 | + | 4.88782i | 0.571855 | + | 0.185807i | ||||
\(693\) | 3.28271i | 0.124700i | ||||||||
\(694\) | 0.342529 | − | 1.05420i | 0.0130022 | − | 0.0400167i | ||||
\(695\) | 21.2850 | − | 14.4798i | 0.807388 | − | 0.549251i | ||||
\(696\) | −1.54693 | − | 4.76097i | −0.0586364 | − | 0.180464i | ||||
\(697\) | 7.85293 | − | 2.55157i | 0.297451 | − | 0.0966476i | ||||
\(698\) | −4.00271 | + | 5.50925i | −0.151505 | + | 0.208528i | ||||
\(699\) | −6.25758 | −0.236684 | ||||||||
\(700\) | 8.96100 | + | 3.53824i | 0.338694 | + | 0.133733i | ||||
\(701\) | −26.9888 | −1.01935 | −0.509676 | − | 0.860366i | \(-0.670235\pi\) | ||||
−0.509676 | + | 0.860366i | \(0.670235\pi\) | |||||||
\(702\) | 0.644967 | − | 0.887720i | 0.0243427 | − | 0.0335049i | ||||
\(703\) | 2.01014 | − | 0.653133i | 0.0758137 | − | 0.0246334i | ||||
\(704\) | −6.38827 | − | 19.6611i | −0.240767 | − | 0.741005i | ||||
\(705\) | −5.55617 | − | 19.0912i | −0.209258 | − | 0.719016i | ||||
\(706\) | −1.84268 | + | 5.67117i | −0.0693500 | + | 0.213437i | ||||
\(707\) | 6.41165i | 0.241135i | ||||||||
\(708\) | −1.75537 | − | 0.570353i | −0.0659707 | − | 0.0214352i | ||||
\(709\) | 31.1250 | − | 22.6136i | 1.16892 | − | 0.849272i | 0.178044 | − | 0.984023i | \(-0.443023\pi\) |
0.990880 | + | 0.134750i | \(0.0430232\pi\) | |||||||
\(710\) | −3.33190 | + | 4.29960i | −0.125044 | + | 0.161361i | ||||
\(711\) | 1.79709 | + | 1.30566i | 0.0673961 | + | 0.0489662i | ||||
\(712\) | 9.63627 | + | 13.2632i | 0.361135 | + | 0.497059i | ||||
\(713\) | 17.9580 | + | 24.7171i | 0.672532 | + | 0.925661i | ||||
\(714\) | 0.547215 | + | 0.397575i | 0.0204790 | + | 0.0148789i | ||||
\(715\) | 28.0243 | + | 10.0746i | 1.04805 | + | 0.376769i | ||||
\(716\) | 5.78972 | − | 4.20648i | 0.216372 | − | 0.157203i | ||||
\(717\) | −7.16014 | − | 2.32647i | −0.267400 | − | 0.0868836i | ||||
\(718\) | 4.91824i | 0.183547i | ||||||||
\(719\) | −4.39450 | + | 13.5249i | −0.163887 | + | 0.504393i | −0.998953 | − | 0.0457577i | \(-0.985430\pi\) |
0.835065 | + | 0.550151i | \(0.185430\pi\) | |||||||
\(720\) | −6.30363 | − | 4.88488i | −0.234922 | − | 0.182049i | ||||
\(721\) | −1.15013 | − | 3.53975i | −0.0428332 | − | 0.131827i | ||||
\(722\) | 4.85193 | − | 1.57649i | 0.180570 | − | 0.0586708i | ||||
\(723\) | 6.53557 | − | 8.99544i | 0.243060 | − | 0.334544i | ||||
\(724\) | −37.2384 | −1.38395 | ||||||||
\(725\) | 8.65517 | − | 21.9202i | 0.321445 | − | 0.814097i | ||||
\(726\) | 0.0605343 | 0.00224664 | ||||||||
\(727\) | 16.6728 | − | 22.9481i | 0.618359 | − | 0.851098i | −0.378874 | − | 0.925448i | \(-0.623688\pi\) |
0.997232 | + | 0.0743508i | \(0.0236885\pi\) | |||||||
\(728\) | 4.09797 | − | 1.33151i | 0.151881 | − | 0.0493491i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | −6.69031 | − | 0.207125i | −0.247619 | − | 0.00766603i | ||||
\(731\) | −7.53793 | + | 23.1994i | −0.278800 | + | 0.858059i | ||||
\(732\) | − | 11.9279i | − | 0.440869i | ||||||
\(733\) | 29.8294 | + | 9.69214i | 1.10177 | + | 0.357988i | 0.802784 | − | 0.596269i | \(-0.203351\pi\) |
0.298988 | + | 0.954257i | \(0.403351\pi\) | |||||||
\(734\) | 8.09543 | − | 5.88167i | 0.298808 | − | 0.217096i | ||||
\(735\) | −0.0691931 | + | 2.23500i | −0.00255222 | + | 0.0824391i | ||||
\(736\) | −21.4370 | − | 15.5749i | −0.790179 | − | 0.574099i | ||||
\(737\) | 13.9422 | + | 19.1897i | 0.513566 | + | 0.706863i | ||||
\(738\) | 0.524881 | + | 0.722437i | 0.0193212 | + | 0.0265933i | ||||
\(739\) | −27.2956 | − | 19.8314i | −1.00408 | − | 0.729510i | −0.0411246 | − | 0.999154i | \(-0.513094\pi\) |
−0.962960 | + | 0.269644i | \(0.913094\pi\) | |||||||
\(740\) | −13.8148 | − | 20.3075i | −0.507843 | − | 0.746519i | ||||
\(741\) | 1.21695 | − | 0.884166i | 0.0447058 | − | 0.0324807i | ||||
\(742\) | −1.10185 | − | 0.358013i | −0.0404503 | − | 0.0131431i | ||||
\(743\) | 27.7052i | 1.01641i | 0.861237 | + | 0.508203i | \(0.169690\pi\) | ||||
−0.861237 | + | 0.508203i | \(0.830310\pi\) | |||||||
\(744\) | −1.16882 | + | 3.59726i | −0.0428510 | + | 0.131882i | ||||
\(745\) | −7.82947 | + | 21.7791i | −0.286850 | + | 0.797924i | ||||
\(746\) | 1.28037 | + | 3.94058i | 0.0468778 | + | 0.144275i | ||||
\(747\) | −11.1327 | + | 3.61724i | −0.407325 | + | 0.132348i | ||||
\(748\) | 9.29802 | − | 12.7976i | 0.339969 | − | 0.467927i | ||||
\(749\) | 13.8366 | 0.505577 | ||||||||
\(750\) | 0.663771 | + | 2.95012i | 0.0242375 | + | 0.107723i | ||||
\(751\) | −26.3652 | −0.962081 | −0.481041 | − | 0.876698i | \(-0.659741\pi\) | ||||
−0.481041 | + | 0.876698i | \(0.659741\pi\) | |||||||
\(752\) | −18.6405 | + | 25.6565i | −0.679749 | + | 0.935594i | ||||
\(753\) | 1.71902 | − | 0.558542i | 0.0626444 | − | 0.0203544i | ||||
\(754\) | −1.59822 | − | 4.91882i | −0.0582038 | − | 0.179133i | ||||
\(755\) | −15.4082 | + | 42.8607i | −0.560762 | + | 1.55986i | ||||
\(756\) | 0.595429 | − | 1.83254i | 0.0216556 | − | 0.0666489i | ||||
\(757\) | 1.58230i | 0.0575095i | 0.999586 | + | 0.0287548i | \(0.00915419\pi\) | ||||
−0.999586 | + | 0.0287548i | \(0.990846\pi\) | |||||||
\(758\) | 2.38200 | + | 0.773957i | 0.0865180 | + | 0.0281114i | ||||
\(759\) | 22.7833 | − | 16.5530i | 0.826981 | − | 0.600837i | ||||
\(760\) | 0.495270 | + | 0.728036i | 0.0179653 | + | 0.0264087i | ||||
\(761\) | 14.6886 | + | 10.6719i | 0.532461 | + | 0.386855i | 0.821277 | − | 0.570529i | \(-0.193262\pi\) |
−0.288817 | + | 0.957384i | \(0.593262\pi\) | |||||||
\(762\) | 3.46588 | + | 4.77038i | 0.125556 | + | 0.172813i | ||||
\(763\) | 2.58218 | + | 3.55407i | 0.0934813 | + | 0.128666i | ||||
\(764\) | 8.35034 | + | 6.06688i | 0.302105 | + | 0.219492i | ||||
\(765\) | 0.173043 | − | 5.58944i | 0.00625638 | − | 0.202087i | ||||
\(766\) | 1.48046 | − | 1.07561i | 0.0534911 | − | 0.0388635i | ||||
\(767\) | −3.69598 | − | 1.20090i | −0.133454 | − | 0.0433619i | ||||
\(768\) | 10.4636i | 0.377572i | ||||||||
\(769\) | 14.2017 | − | 43.7082i | 0.512125 | − | 1.57616i | −0.276328 | − | 0.961063i | \(-0.589118\pi\) |
0.788453 | − | 0.615095i | \(-0.210882\pi\) | |||||||
\(770\) | −1.98435 | − | 0.0614333i | −0.0715110 | − | 0.00221390i | ||||
\(771\) | −1.99884 | − | 6.15180i | −0.0719865 | − | 0.221552i | ||||
\(772\) | −29.2398 | + | 9.50059i | −1.05236 | + | 0.341934i | ||||
\(773\) | 5.98600 | − | 8.23903i | 0.215302 | − | 0.296337i | −0.687682 | − | 0.726012i | \(-0.741372\pi\) |
0.902984 | + | 0.429675i | \(0.141372\pi\) | |||||||
\(774\) | −2.63807 | −0.0948236 | ||||||||
\(775\) | −15.0258 | + | 9.55533i | −0.539741 | + | 0.343237i | ||||
\(776\) | 12.6340 | 0.453536 | ||||||||
\(777\) | 3.35068 | − | 4.61181i | 0.120205 | − | 0.165448i | ||||
\(778\) | −6.31043 | + | 2.05038i | −0.226240 | + | 0.0735098i | ||||
\(779\) | 0.378287 | + | 1.16425i | 0.0135535 | + | 0.0417135i | ||||
\(780\) | −13.8170 | − | 10.7072i | −0.494726 | − | 0.383379i | ||||
\(781\) | −9.12388 | + | 28.0804i | −0.326478 | + | 1.00480i | ||||
\(782\) | − | 5.80265i | − | 0.207502i | ||||||
\(783\) | −4.48273 | − | 1.45653i | −0.160200 | − | 0.0520521i | ||||
\(784\) | 2.88532 | − | 2.09631i | 0.103047 | − | 0.0748681i | ||||
\(785\) | −25.7097 | − | 9.24252i | −0.917620 | − | 0.329880i | ||||
\(786\) | −4.09111 | − | 2.97237i | −0.145925 | − | 0.106021i | ||||
\(787\) | −1.95627 | − | 2.69258i | −0.0697336 | − | 0.0959801i | 0.772726 | − | 0.634740i | \(-0.218893\pi\) |
−0.842459 | + | 0.538760i | \(0.818893\pi\) | |||||||
\(788\) | −14.4013 | − | 19.8217i | −0.513026 | − | 0.706120i | ||||
\(789\) | −0.679822 | − | 0.493919i | −0.0242023 | − | 0.0175840i | ||||
\(790\) | −0.822885 | + | 1.06188i | −0.0292769 | + | 0.0377800i | ||||
\(791\) | −6.72026 | + | 4.88256i | −0.238945 | + | 0.173604i | ||||
\(792\) | 3.31583 | + | 1.07738i | 0.117823 | + | 0.0382829i | ||||
\(793\) | − | 25.1147i | − | 0.891849i | ||||||
\(794\) | −2.37342 | + | 7.30462i | −0.0842294 | + | 0.259231i | ||||
\(795\) | 2.67658 | + | 9.19683i | 0.0949287 | + | 0.326178i | ||||
\(796\) | 2.88019 | + | 8.86432i | 0.102086 | + | 0.314187i | ||||
\(797\) | 16.3787 | − | 5.32176i | 0.580163 | − | 0.188507i | −0.00421037 | − | 0.999991i | \(-0.501340\pi\) |
0.584374 | + | 0.811485i | \(0.301340\pi\) | |||||||
\(798\) | −0.0589430 | + | 0.0811281i | −0.00208656 | + | 0.00287191i | ||||
\(799\) | −22.2379 | −0.786721 | ||||||||
\(800\) | 9.83305 | − | 11.9087i | 0.347651 | − | 0.421037i | ||||
\(801\) | 15.4361 | 0.545408 | ||||||||
\(802\) | −4.15445 | + | 5.71811i | −0.146699 | + | 0.201913i | ||||
\(803\) | −34.5541 | + | 11.2273i | −1.21939 | + | 0.396203i | ||||
\(804\) | −4.30238 | − | 13.2414i | −0.151733 | − | 0.466987i | ||||
\(805\) | 15.8607 | − | 10.7897i | 0.559015 | − | 0.380288i | ||||
\(806\) | −1.20757 | + | 3.71653i | −0.0425350 | + | 0.130909i | ||||
\(807\) | 10.4123i | 0.366530i | ||||||||
\(808\) | 6.47633 | + | 2.10429i | 0.227837 | + | 0.0740286i | ||||
\(809\) | −23.6622 | + | 17.1916i | −0.831917 | + | 0.604423i | −0.920101 | − | 0.391681i | \(-0.871894\pi\) |
0.0881841 | + | 0.996104i | \(0.471894\pi\) | |||||||
\(810\) | 0.580683 | − | 0.168998i | 0.0204031 | − | 0.00593798i | ||||
\(811\) | 27.1918 | + | 19.7560i | 0.954832 | + | 0.693726i | 0.951945 | − | 0.306270i | \(-0.0990810\pi\) |
0.00288716 | + | 0.999996i | \(0.499081\pi\) | |||||||
\(812\) | −5.33830 | − | 7.34754i | −0.187338 | − | 0.257848i | ||||
\(813\) | 11.6821 | + | 16.0791i | 0.409710 | + | 0.563918i | ||||
\(814\) | 4.09461 | + | 2.97491i | 0.143516 | + | 0.104271i | ||||
\(815\) | −36.3806 | + | 10.5880i | −1.27436 | + | 0.370880i | ||||
\(816\) | −7.21581 | + | 5.24259i | −0.252604 | + | 0.183527i | ||||
\(817\) | −3.43946 | − | 1.11755i | −0.120331 | − | 0.0390980i | ||||
\(818\) | 1.31746i | 0.0460639i | ||||||||
\(819\) | 1.25370 | − | 3.85848i | 0.0438077 | − | 0.134826i | ||||
\(820\) | 11.7619 | − | 8.00139i | 0.410743 | − | 0.279421i | ||||
\(821\) | −7.36426 | − | 22.6649i | −0.257014 | − | 0.791009i | −0.993426 | − | 0.114475i | \(-0.963481\pi\) |
0.736412 | − | 0.676534i | \(-0.236519\pi\) | |||||||
\(822\) | −3.14191 | + | 1.02087i | −0.109587 | + | 0.0356069i | ||||
\(823\) | 23.7767 | − | 32.7258i | 0.828803 | − | 1.14075i | −0.159342 | − | 0.987223i | \(-0.550937\pi\) |
0.988145 | − | 0.153526i | \(-0.0490628\pi\) | |||||||
\(824\) | −3.95293 | −0.137707 | ||||||||
\(825\) | 8.80776 | + | 13.8502i | 0.306647 | + | 0.482202i | ||||
\(826\) | 0.259073 | 0.00901431 | ||||||||
\(827\) | −15.6779 | + | 21.5788i | −0.545173 | + | 0.750367i | −0.989347 | − | 0.145574i | \(-0.953497\pi\) |
0.444174 | + | 0.895941i | \(0.353497\pi\) | |||||||
\(828\) | −15.7210 | + | 5.10807i | −0.546343 | + | 0.177518i | ||||
\(829\) | 9.48540 | + | 29.1931i | 0.329441 | + | 1.01392i | 0.969396 | + | 0.245504i | \(0.0789533\pi\) |
−0.639954 | + | 0.768413i | \(0.721047\pi\) | |||||||
\(830\) | −1.97823 | − | 6.79726i | −0.0686654 | − | 0.235936i | ||||
\(831\) | 3.25645 | − | 10.0223i | 0.112965 | − | 0.347671i | ||||
\(832\) | 25.5493i | 0.885762i | ||||||||
\(833\) | 2.37847 | + | 0.772812i | 0.0824091 | + | 0.0267763i | ||||
\(834\) | 2.51910 | − | 1.83024i | 0.0872294 | − | 0.0633759i | ||||
\(835\) | −0.741789 | + | 0.957232i | −0.0256707 | + | 0.0331264i | ||||
\(836\) | 1.89733 | + | 1.37849i | 0.0656206 | + | 0.0476761i | ||||
\(837\) | 2.09330 | + | 2.88118i | 0.0723550 | + | 0.0995881i | ||||
\(838\) | −5.82621 | − | 8.01910i | −0.201263 | − | 0.277015i | ||||
\(839\) | −17.2569 | − | 12.5379i | −0.595773 | − | 0.432855i | 0.248603 | − | 0.968606i | \(-0.420029\pi\) |
−0.844376 | + | 0.535751i | \(0.820029\pi\) | |||||||
\(840\) | 2.23483 | + | 0.803412i | 0.0771091 | + | 0.0277203i | ||||
\(841\) | 5.48808 | − | 3.98733i | 0.189244 | − | 0.137494i | ||||
\(842\) | −9.18275 | − | 2.98366i | −0.316458 | − | 0.102824i | ||||
\(843\) | 26.9112i | 0.926872i | ||||||||
\(844\) | 14.6915 | − | 45.2157i | 0.505701 | − | 1.55639i | ||||
\(845\) | −6.11482 | − | 4.73857i | −0.210356 | − | 0.163012i | ||||
\(846\) | −0.743180 | − | 2.28727i | −0.0255511 | − | 0.0786381i | ||||
\(847\) | 0.212862 | − | 0.0691632i | 0.00731404 | − | 0.00237648i | ||||
\(848\) | 8.97972 | − | 12.3595i | 0.308365 | − | 0.424428i | ||||
\(849\) | 15.7403 | 0.540204 | ||||||||
\(850\) | 3.37550 | + | 0.209204i | 0.115779 | + | 0.00717563i | ||||
\(851\) | −48.9035 | −1.67639 | ||||||||
\(852\) | 10.1866 | − | 14.0207i | 0.348989 | − | 0.480342i | ||||
\(853\) | 6.51336 | − | 2.11632i | 0.223013 | − | 0.0724614i | −0.195379 | − | 0.980728i | \(-0.562594\pi\) |
0.418392 | + | 0.908266i | \(0.362594\pi\) | |||||||
\(854\) | 0.517379 | + | 1.59233i | 0.0177043 | + | 0.0544884i | ||||
\(855\) | 0.828671 | + | 0.0256548i | 0.0283400 | + | 0.000877374i | ||||
\(856\) | 4.54113 | − | 13.9762i | 0.155213 | − | 0.477695i | ||||
\(857\) | − | 10.0264i | − | 0.342496i | −0.985228 | − | 0.171248i | \(-0.945220\pi\) | ||
0.985228 | − | 0.171248i | \(-0.0547800\pi\) | |||||||
\(858\) | 3.42576 | + | 1.11310i | 0.116954 | + | 0.0380005i | ||||
\(859\) | −41.8447 | + | 30.4020i | −1.42772 | + | 1.03730i | −0.437288 | + | 0.899322i | \(0.644061\pi\) |
−0.990435 | + | 0.137980i | \(0.955939\pi\) | |||||||
\(860\) | −1.30043 | + | 42.0052i | −0.0443445 | + | 1.43237i | ||||
\(861\) | 2.67111 | + | 1.94067i | 0.0910311 | + | 0.0661380i | ||||
\(862\) | −4.38147 | − | 6.03057i | −0.149233 | − | 0.205402i | ||||
\(863\) | 10.2479 | + | 14.1050i | 0.348841 | + | 0.480138i | 0.946998 | − | 0.321241i | \(-0.104100\pi\) |
−0.598157 | + | 0.801379i | \(0.704100\pi\) | |||||||
\(864\) | −2.49884 | − | 1.81551i | −0.0850122 | − | 0.0617650i | ||||
\(865\) | 10.3245 | + | 15.1768i | 0.351043 | + | 0.516026i | ||||
\(866\) | 3.58222 | − | 2.60263i | 0.121729 | − | 0.0884410i | ||||
\(867\) | 10.2197 | + | 3.32059i | 0.347080 | + | 0.112773i | ||||
\(868\) | 6.86215i | 0.232917i | ||||||||
\(869\) | −2.25334 | + | 6.93507i | −0.0764394 | + | 0.235256i | ||||
\(870\) | 0.964340 | − | 2.68249i | 0.0326942 | − | 0.0909448i | ||||
\(871\) | −9.05881 | − | 27.8801i | −0.306946 | − | 0.944683i | ||||
\(872\) | 4.43739 | − | 1.44180i | 0.150269 | − | 0.0488254i | ||||
\(873\) | 6.99211 | − | 9.62382i | 0.236647 | − | 0.325717i | ||||
\(874\) | 0.860281 | 0.0290994 | ||||||||
\(875\) | 5.70473 | + | 9.61541i | 0.192855 | + | 0.325060i | ||||
\(876\) | 21.3259 | 0.720537 | ||||||||
\(877\) | 2.54904 | − | 3.50845i | 0.0860748 | − | 0.118472i | −0.763808 | − | 0.645443i | \(-0.776673\pi\) |
0.849883 | + | 0.526972i | \(0.176673\pi\) | |||||||
\(878\) | −5.63086 | + | 1.82958i | −0.190032 | + | 0.0617453i | ||||
\(879\) | 8.65133 | + | 26.6260i | 0.291802 | + | 0.898074i | ||||
\(880\) | 8.85633 | − | 24.6355i | 0.298547 | − | 0.830462i | ||||
\(881\) | 8.20228 | − | 25.2440i | 0.276342 | − | 0.850492i | −0.712520 | − | 0.701652i | \(-0.752446\pi\) |
0.988861 | − | 0.148840i | \(-0.0475539\pi\) | |||||||
\(882\) | 0.270463i | 0.00910698i | ||||||||
\(883\) | 25.2715 | + | 8.21121i | 0.850454 | + | 0.276329i | 0.701636 | − | 0.712535i | \(-0.252453\pi\) |
0.148818 | + | 0.988865i | \(0.452453\pi\) | |||||||
\(884\) | −15.8164 | + | 11.4913i | −0.531962 | + | 0.386493i | ||||
\(885\) | −1.20475 | − | 1.77096i | −0.0404973 | − | 0.0595302i | ||||
\(886\) | −4.37254 | − | 3.17683i | −0.146898 | − | 0.106728i | ||||
\(887\) | 15.7360 | + | 21.6588i | 0.528364 | + | 0.727231i | 0.986880 | − | 0.161455i | \(-0.0516188\pi\) |
−0.458516 | + | 0.888686i | \(0.651619\pi\) | |||||||
\(888\) | −3.55865 | − | 4.89806i | −0.119421 | − | 0.164368i | ||||
\(889\) | 17.6378 | + | 12.8146i | 0.591552 | + | 0.429788i | ||||
\(890\) | −0.288874 | + | 9.33089i | −0.00968308 | + | 0.312772i | ||||
\(891\) | 2.65577 | − | 1.92953i | 0.0889716 | − | 0.0646416i | ||||
\(892\) | 42.8773 | + | 13.9317i | 1.43564 | + | 0.466467i | ||||
\(893\) | − | 3.29692i | − | 0.110327i | ||||||
\(894\) | −0.865044 | + | 2.66233i | −0.0289314 | + | 0.0890417i | ||||
\(895\) | 8.30097 | + | 0.256989i | 0.277471 | + | 0.00859020i | ||||
\(896\) | −2.43527 | − | 7.49500i | −0.0813568 | − | 0.250390i | ||||
\(897\) | −33.1011 | + | 10.7552i | −1.10521 | + | 0.359106i | ||||
\(898\) | 3.30499 | − | 4.54893i | 0.110289 | − | 0.151800i | ||||
\(899\) | 16.7861 | 0.559847 | ||||||||
\(900\) | −2.40465 | − | 9.32933i | −0.0801551 | − | 0.310978i | ||||
\(901\) | 10.7127 | 0.356892 | ||||||||
\(902\) | −1.72303 | + | 2.37155i | −0.0573707 | + | 0.0789640i | ||||
\(903\) | −9.27651 | + | 3.01412i | −0.308703 | + | 0.100304i | ||||
\(904\) | 2.72624 | + | 8.39050i | 0.0906734 | + | 0.279064i | ||||
\(905\) | −34.1584 | − | 26.4704i | −1.13546 | − | 0.879907i | ||||
\(906\) | −1.70238 | + | 5.23940i | −0.0565579 | + | 0.174067i | ||||
\(907\) | 8.70881i | 0.289171i | 0.989492 | + | 0.144586i | \(0.0461849\pi\) | ||||
−0.989492 | + | 0.144586i | \(0.953815\pi\) | |||||||
\(908\) | −18.5803 | − | 6.03710i | −0.616608 | − | 0.200348i | ||||
\(909\) | 5.18713 | − | 3.76867i | 0.172046 | − | 0.124999i | ||||
\(910\) | 2.30893 | + | 0.830049i | 0.0765404 | + | 0.0275159i | ||||
\(911\) | 36.6980 | + | 26.6627i | 1.21586 | + | 0.883374i | 0.995750 | − | 0.0921009i | \(-0.0293582\pi\) |
0.220110 | + | 0.975475i | \(0.429358\pi\) | |||||||
\(912\) | −0.777248 | − | 1.06979i | −0.0257373 | − | 0.0354243i | ||||
\(913\) | −22.5864 | − | 31.0875i | −0.747500 | − | 1.02885i | ||||
\(914\) | −5.01852 | − | 3.64617i | −0.165998 | − | 0.120604i | ||||
\(915\) | 8.47883 | − | 10.9414i | 0.280301 | − | 0.361711i | ||||
\(916\) | −33.5069 | + | 24.3442i | −1.10710 | + | 0.804353i | ||||
\(917\) | −17.7820 | − | 5.77774i | −0.587215 | − | 0.190798i | ||||
\(918\) | − | 0.676394i | − | 0.0223243i | ||||||
\(919\) | −5.29226 | + | 16.2879i | −0.174575 | + | 0.537288i | −0.999614 | − | 0.0277888i | \(-0.991153\pi\) |
0.825038 | + | 0.565077i | \(0.191153\pi\) | |||||||
\(920\) | −5.69314 | − | 19.5618i | −0.187697 | − | 0.644934i | ||||
\(921\) | −4.46737 | − | 13.7491i | −0.147205 | − | 0.453050i | ||||
\(922\) | 0.969765 | − | 0.315096i | 0.0319375 | − | 0.0103771i | ||||
\(923\) | 21.4483 | − | 29.5211i | 0.705980 | − | 0.971698i | ||||
\(924\) | 6.32529 | 0.208087 | ||||||||
\(925\) | 1.76313 | − | 28.4480i | 0.0579712 | − | 0.935364i | ||||
\(926\) | 4.92022 | 0.161688 | ||||||||
\(927\) | −2.18769 | + | 3.01109i | −0.0718530 | + | 0.0988972i | ||||
\(928\) | −13.8460 | + | 4.49883i | −0.454516 | + | 0.147681i | ||||
\(929\) | −13.9064 | − | 42.7994i | −0.456253 | − | 1.40420i | −0.869657 | − | 0.493656i | \(-0.835660\pi\) |
0.413404 | − | 0.910548i | \(-0.364340\pi\) | |||||||
\(930\) | −1.78080 | + | 1.21145i | −0.0583949 | + | 0.0397250i | ||||
\(931\) | −0.114574 | + | 0.352624i | −0.00375502 | + | 0.0115568i | ||||
\(932\) | 12.0574i | 0.394954i | ||||||||
\(933\) | 2.19626 | + | 0.713607i | 0.0719022 | + | 0.0233624i | ||||
\(934\) | −4.22073 | + | 3.06654i | −0.138106 | + | 0.100340i | ||||
\(935\) | 17.6260 | − | 5.12975i | 0.576432 | − | 0.167761i | ||||
\(936\) | −3.48594 | − | 2.53269i | −0.113942 | − | 0.0827835i | ||||
\(937\) | 33.4691 | + | 46.0663i | 1.09339 | + | 1.50492i | 0.843869 | + | 0.536549i | \(0.180272\pi\) |
0.249518 | + | 0.968370i | \(0.419728\pi\) | |||||||
\(938\) | 1.14870 | + | 1.58105i | 0.0375063 | + | 0.0516230i | ||||
\(939\) | −0.798572 | − | 0.580196i | −0.0260604 | − | 0.0189340i | ||||
\(940\) | −36.7859 | + | 10.7059i | −1.19982 | + | 0.349188i | ||||
\(941\) | −14.2393 | + | 10.3454i | −0.464187 | + | 0.337252i | −0.795171 | − | 0.606385i | \(-0.792619\pi\) |
0.330985 | + | 0.943636i | \(0.392619\pi\) | |||||||
\(942\) | −3.14282 | − | 1.02117i | −0.102399 | − | 0.0332714i | ||||
\(943\) | − | 28.3244i | − | 0.922369i | ||||||
\(944\) | −1.05568 | + | 3.24905i | −0.0343594 | + | 0.105747i | ||||
\(945\) | 1.84882 | − | 1.25772i | 0.0601422 | − | 0.0409136i | ||||
\(946\) | −2.67610 | − | 8.23618i | −0.0870074 | − | 0.267781i | ||||
\(947\) | −47.3729 | + | 15.3924i | −1.53941 | + | 0.500185i | −0.951214 | − | 0.308532i | \(-0.900162\pi\) |
−0.588198 | + | 0.808717i | \(0.700162\pi\) | |||||||
\(948\) | 2.51581 | − | 3.46272i | 0.0817099 | − | 0.112464i | ||||
\(949\) | 44.9025 | 1.45760 | ||||||||
\(950\) | −0.0310158 | + | 0.500439i | −0.00100629 | + | 0.0162364i | ||||
\(951\) | −0.561163 | −0.0181970 | ||||||||
\(952\) | 1.56122 | − | 2.14883i | 0.0505993 | − | 0.0696440i | ||||
\(953\) | −45.3396 | + | 14.7317i | −1.46869 | + | 0.477207i | −0.930713 | − | 0.365751i | \(-0.880812\pi\) |
−0.537980 | + | 0.842958i | \(0.680812\pi\) | |||||||
\(954\) | 0.358013 | + | 1.10185i | 0.0115911 | + | 0.0356738i | ||||
\(955\) | 3.34712 | + | 11.5008i | 0.108310 | + | 0.372158i | ||||
\(956\) | −4.48276 | + | 13.7965i | −0.144983 | + | 0.446211i | ||||
\(957\) | − | 15.4728i | − | 0.500165i | ||||||
\(958\) | −2.90587 | − | 0.944175i | −0.0938844 | − | 0.0305049i | ||||
\(959\) | −9.88182 | + | 7.17956i | −0.319101 | + | 0.231840i | ||||
\(960\) | −8.62555 | + | 11.1307i | −0.278388 | + | 0.359242i | ||||
\(961\) | 14.8187 | + | 10.7664i | 0.478022 | + | 0.347303i | ||||
\(962\) | −3.67664 | − | 5.06046i | −0.118540 | − | 0.163156i | ||||
\(963\) | −8.13293 | − | 11.1940i | −0.262080 | − | 0.360722i | ||||
\(964\) | −17.3329 | − | 12.5931i | −0.558254 | − | 0.405595i | ||||
\(965\) | −33.5748 | − | 12.0700i | −1.08081 | − | 0.388545i | ||||
\(966\) | 1.87712 | − | 1.36381i | 0.0603954 | − | 0.0438799i | ||||
\(967\) | 32.9772 | + | 10.7149i | 1.06047 | + | 0.344569i | 0.786771 | − | 0.617245i | \(-0.211751\pi\) |
0.273703 | + | 0.961814i | \(0.411751\pi\) | |||||||
\(968\) | − | 0.237709i | − | 0.00764026i | ||||||
\(969\) | 0.286536 | − | 0.881867i | 0.00920486 | − | 0.0283296i | ||||
\(970\) | 5.68660 | + | 4.40673i | 0.182586 | + | 0.141492i | ||||
\(971\) | −16.0586 | − | 49.4233i | −0.515345 | − | 1.58607i | −0.782653 | − | 0.622458i | \(-0.786134\pi\) |
0.267308 | − | 0.963611i | \(-0.413866\pi\) | |||||||
\(972\) | −1.83254 | + | 0.595429i | −0.0587788 | + | 0.0190984i | ||||
\(973\) | 6.76703 | − | 9.31402i | 0.216941 | − | 0.298594i | ||||
\(974\) | 4.40805 | 0.141243 | ||||||||
\(975\) | −5.06308 | − | 19.6432i | −0.162148 | − | 0.629086i | ||||
\(976\) | −22.0777 | −0.706690 | ||||||||
\(977\) | −1.54772 | + | 2.13026i | −0.0495161 | + | 0.0681530i | −0.833057 | − | 0.553187i | \(-0.813411\pi\) |
0.783541 | + | 0.621340i | \(0.213411\pi\) | |||||||
\(978\) | −4.35868 | + | 1.41622i | −0.139375 | + | 0.0452857i | ||||
\(979\) | 15.6586 | + | 48.1922i | 0.500450 | + | 1.54023i | ||||
\(980\) | 4.30650 | + | 0.133325i | 0.137566 | + | 0.00425890i | ||||
\(981\) | 1.35753 | − | 4.17806i | 0.0433427 | − | 0.133395i | ||||
\(982\) | − | 9.43661i | − | 0.301134i | ||||||
\(983\) | 50.6429 | + | 16.4549i | 1.61526 | + | 0.524829i | 0.970816 | − | 0.239826i | \(-0.0770904\pi\) |
0.644440 | + | 0.764655i | \(0.277090\pi\) | |||||||
\(984\) | 2.83690 | − | 2.06113i | 0.0904372 | − | 0.0657064i | ||||
\(985\) | 0.879830 | − | 28.4193i | 0.0280337 | − | 0.905513i | ||||
\(986\) | −2.57925 | − | 1.87394i | −0.0821402 | − | 0.0596783i | ||||
\(987\) | −5.22663 | − | 7.19384i | −0.166365 | − | 0.228982i | ||||
\(988\) | −1.70366 | − | 2.34488i | −0.0542005 | − | 0.0746006i | ||||
\(989\) | 67.6959 | + | 49.1839i | 2.15260 | + | 1.56396i | ||||
\(990\) | 1.11667 | + | 1.64148i | 0.0354901 | + | 0.0521697i | ||||
\(991\) | 8.52078 | − | 6.19071i | 0.270671 | − | 0.196654i | −0.444167 | − | 0.895944i | \(-0.646500\pi\) |
0.714838 | + | 0.699290i | \(0.246500\pi\) | |||||||
\(992\) | 10.4616 | + | 3.39919i | 0.332157 | + | 0.107924i | ||||
\(993\) | 20.8230i | 0.660797i | ||||||||
\(994\) | −0.751719 | + | 2.31355i | −0.0238431 | + | 0.0733815i | ||||
\(995\) | −3.65912 | + | 10.1785i | −0.116002 | + | 0.322680i | ||||
\(996\) | 6.96988 | + | 21.4511i | 0.220849 | + | 0.679704i | ||||
\(997\) | 22.6988 | − | 7.37527i | 0.718877 | − | 0.233577i | 0.0733408 | − | 0.997307i | \(-0.476634\pi\) |
0.645536 | + | 0.763730i | \(0.276634\pi\) | |||||||
\(998\) | 1.67598 | − | 2.30679i | 0.0530521 | − | 0.0730200i | ||||
\(999\) | −5.70051 | −0.180356 |
(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 | 525.2.z.a.484.7 | yes | 56 | |
25.14 | even | 10 | inner | 525.2.z.a.64.7 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.z.a.64.7 | ✓ | 56 | 25.14 | even | 10 | inner | |
525.2.z.a.484.7 | yes | 56 | 1.1 | even | 1 | trivial |