Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [140,2,Mod(31,140)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(140, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("140.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 140 = 2^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 140.o (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: | \(1.11790562830\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.13 | ||
Character | \(\chi\) | \(=\) | 140.31 |
Dual form | 140.2.o.a.131.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/140\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(101\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05472 | + | 0.942109i | 0.745798 | + | 0.666172i | ||||
\(3\) | 0.450639 | − | 0.780530i | 0.260177 | − | 0.450639i | −0.706112 | − | 0.708100i | \(-0.749553\pi\) |
0.966289 | + | 0.257461i | \(0.0828859\pi\) | |||||||
\(4\) | 0.224860 | + | 1.98732i | 0.112430 | + | 0.993660i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | 1.21064 | − | 0.398687i | 0.494242 | − | 0.162763i | ||||
\(7\) | 2.29962 | − | 1.30833i | 0.869175 | − | 0.494504i | ||||
\(8\) | −1.63511 | + | 2.30790i | −0.578098 | + | 0.815967i | ||||
\(9\) | 1.09385 | + | 1.89460i | 0.364616 | + | 0.631534i | ||||
\(10\) | −1.38447 | − | 0.288532i | −0.437807 | − | 0.0912418i | ||||
\(11\) | −3.24107 | − | 1.87123i | −0.977218 | − | 0.564197i | −0.0757892 | − | 0.997124i | \(-0.524148\pi\) |
−0.901429 | + | 0.432927i | \(0.857481\pi\) | |||||||
\(12\) | 1.65249 | + | 0.720054i | 0.477033 | + | 0.207862i | ||||
\(13\) | − | 2.41990i | − | 0.671161i | −0.942012 | − | 0.335580i | \(-0.891068\pi\) | ||
0.942012 | − | 0.335580i | \(-0.108932\pi\) | |||||||
\(14\) | 3.65805 | + | 0.786573i | 0.977654 | + | 0.210220i | ||||
\(15\) | 0.901278i | 0.232709i | ||||||||
\(16\) | −3.89888 | + | 0.893735i | −0.974719 | + | 0.223434i | ||||
\(17\) | −0.505515 | − | 0.291859i | −0.122605 | − | 0.0707863i | 0.437443 | − | 0.899246i | \(-0.355884\pi\) |
−0.560048 | + | 0.828460i | \(0.689218\pi\) | |||||||
\(18\) | −0.631220 | + | 3.02880i | −0.148780 | + | 0.713894i | ||||
\(19\) | −3.07977 | − | 5.33433i | −0.706549 | − | 1.22378i | −0.966130 | − | 0.258057i | \(-0.916918\pi\) |
0.259581 | − | 0.965721i | \(-0.416416\pi\) | |||||||
\(20\) | −1.18839 | − | 1.60864i | −0.265733 | − | 0.359703i | ||||
\(21\) | 0.0151060 | − | 2.38451i | 0.00329639 | − | 0.520343i | ||||
\(22\) | −1.65551 | − | 5.02706i | −0.352955 | − | 1.07177i | ||||
\(23\) | −3.73439 | + | 2.15605i | −0.778674 | + | 0.449568i | −0.835960 | − | 0.548790i | \(-0.815089\pi\) |
0.0572861 | + | 0.998358i | \(0.481755\pi\) | |||||||
\(24\) | 1.06454 | + | 2.31628i | 0.217299 | + | 0.472809i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | 2.27981 | − | 2.55232i | 0.447108 | − | 0.500550i | ||||
\(27\) | 4.67556 | 0.899812 | ||||||||
\(28\) | 3.11717 | + | 4.27589i | 0.589090 | + | 0.808068i | ||||
\(29\) | −0.435463 | −0.0808634 | −0.0404317 | − | 0.999182i | \(-0.512873\pi\) | ||||
−0.0404317 | + | 0.999182i | \(0.512873\pi\) | |||||||
\(30\) | −0.849103 | + | 0.950594i | −0.155024 | + | 0.173554i | ||||
\(31\) | −1.26933 | + | 2.19854i | −0.227978 | + | 0.394869i | −0.957209 | − | 0.289399i | \(-0.906545\pi\) |
0.729231 | + | 0.684268i | \(0.239878\pi\) | |||||||
\(32\) | −4.95421 | − | 2.73053i | −0.875789 | − | 0.482694i | ||||
\(33\) | −2.92110 | + | 1.68650i | −0.508499 | + | 0.293582i | ||||
\(34\) | −0.258212 | − | 0.784080i | −0.0442831 | − | 0.134469i | ||||
\(35\) | −1.33736 | + | 2.28286i | −0.226056 | + | 0.385874i | ||||
\(36\) | −3.51922 | + | 2.59985i | −0.586536 | + | 0.433308i | ||||
\(37\) | 5.65039 | + | 9.78676i | 0.928918 | + | 1.60893i | 0.785136 | + | 0.619324i | \(0.212593\pi\) |
0.143782 | + | 0.989609i | \(0.454073\pi\) | |||||||
\(38\) | 1.77723 | − | 8.52769i | 0.288304 | − | 1.38337i | ||||
\(39\) | −1.88881 | − | 1.09050i | −0.302451 | − | 0.174620i | ||||
\(40\) | 0.262094 | − | 2.81626i | 0.0414407 | − | 0.445289i | ||||
\(41\) | − | 7.35068i | − | 1.14798i | −0.818861 | − | 0.573992i | \(-0.805394\pi\) | ||
0.818861 | − | 0.573992i | \(-0.194606\pi\) | |||||||
\(42\) | 2.26240 | − | 2.50075i | 0.349096 | − | 0.385875i | ||||
\(43\) | − | 5.80096i | − | 0.884637i | −0.896858 | − | 0.442319i | \(-0.854156\pi\) | ||
0.896858 | − | 0.442319i | \(-0.145844\pi\) | |||||||
\(44\) | 2.98995 | − | 6.86180i | 0.450752 | − | 1.03446i | ||||
\(45\) | −1.89460 | − | 1.09385i | −0.282431 | − | 0.163061i | ||||
\(46\) | −5.96996 | − | 1.24418i | −0.880223 | − | 0.183444i | ||||
\(47\) | 5.78826 | + | 10.0256i | 0.844305 | + | 1.46238i | 0.886223 | + | 0.463258i | \(0.153320\pi\) |
−0.0419181 | + | 0.999121i | \(0.513347\pi\) | |||||||
\(48\) | −1.05940 | + | 3.44594i | −0.152911 | + | 0.497379i | ||||
\(49\) | 3.57652 | − | 6.01735i | 0.510932 | − | 0.859621i | ||||
\(50\) | 1.34325 | − | 0.442358i | 0.189964 | − | 0.0625588i | ||||
\(51\) | −0.455610 | + | 0.263046i | −0.0637981 | + | 0.0368339i | ||||
\(52\) | 4.80912 | − | 0.544138i | 0.666905 | − | 0.0754584i | ||||
\(53\) | 1.55746 | − | 2.69759i | 0.213933 | − | 0.370543i | −0.739009 | − | 0.673696i | \(-0.764706\pi\) |
0.952942 | + | 0.303153i | \(0.0980393\pi\) | |||||||
\(54\) | 4.93139 | + | 4.40489i | 0.671078 | + | 0.599429i | ||||
\(55\) | 3.74246 | 0.504633 | ||||||||
\(56\) | −0.740624 | + | 7.44657i | −0.0989701 | + | 0.995090i | ||||
\(57\) | −5.55147 | −0.735310 | ||||||||
\(58\) | −0.459290 | − | 0.410254i | −0.0603078 | − | 0.0538689i | ||||
\(59\) | −1.73534 | + | 3.00569i | −0.225922 | + | 0.391308i | −0.956596 | − | 0.291419i | \(-0.905873\pi\) |
0.730674 | + | 0.682727i | \(0.239206\pi\) | |||||||
\(60\) | −1.79113 | + | 0.202661i | −0.231234 | + | 0.0261634i | ||||
\(61\) | −8.99597 | + | 5.19383i | −1.15182 | + | 0.665001i | −0.949329 | − | 0.314284i | \(-0.898236\pi\) |
−0.202487 | + | 0.979285i | \(0.564902\pi\) | |||||||
\(62\) | −3.41004 | + | 1.12299i | −0.433076 | + | 0.142620i | ||||
\(63\) | 4.99421 | + | 2.92575i | 0.629211 | + | 0.368610i | ||||
\(64\) | −2.65284 | − | 7.54735i | −0.331605 | − | 0.943418i | ||||
\(65\) | 1.20995 | + | 2.09570i | 0.150076 | + | 0.259939i | ||||
\(66\) | −4.66981 | − | 0.973217i | −0.574813 | − | 0.119795i | ||||
\(67\) | 8.52602 | + | 4.92250i | 1.04162 | + | 0.601379i | 0.920291 | − | 0.391234i | \(-0.127952\pi\) |
0.121327 | + | 0.992613i | \(0.461285\pi\) | |||||||
\(68\) | 0.466348 | − | 1.07025i | 0.0565530 | − | 0.129787i | ||||
\(69\) | 3.88640i | 0.467868i | ||||||||
\(70\) | −3.56125 | + | 1.14783i | −0.425650 | + | 0.137192i | ||||
\(71\) | 9.96771i | 1.18295i | 0.806324 | + | 0.591475i | \(0.201454\pi\) | ||||
−0.806324 | + | 0.591475i | \(0.798546\pi\) | |||||||
\(72\) | −6.16112 | − | 0.573383i | −0.726095 | − | 0.0675738i | ||||
\(73\) | 8.48612 | + | 4.89946i | 0.993225 | + | 0.573439i | 0.906237 | − | 0.422771i | \(-0.138942\pi\) |
0.0869881 | + | 0.996209i | \(0.472276\pi\) | |||||||
\(74\) | −3.26063 | + | 15.6456i | −0.379041 | + | 1.81876i | ||||
\(75\) | −0.450639 | − | 0.780530i | −0.0520353 | − | 0.0901278i | ||||
\(76\) | 9.90849 | − | 7.31997i | 1.13658 | − | 0.839658i | ||||
\(77\) | −9.90142 | − | 0.0627260i | −1.12837 | − | 0.00714829i | ||||
\(78\) | −0.964785 | − | 2.92964i | −0.109240 | − | 0.331716i | ||||
\(79\) | −0.397549 | + | 0.229525i | −0.0447278 | + | 0.0258236i | −0.522197 | − | 0.852825i | \(-0.674887\pi\) |
0.477469 | + | 0.878648i | \(0.341554\pi\) | |||||||
\(80\) | 2.92966 | − | 2.72344i | 0.327546 | − | 0.304489i | ||||
\(81\) | −1.17456 | + | 2.03439i | −0.130506 | + | 0.226044i | ||||
\(82\) | 6.92515 | − | 7.75290i | 0.764755 | − | 0.856164i | ||||
\(83\) | −2.59747 | −0.285109 | −0.142554 | − | 0.989787i | \(-0.545532\pi\) | ||||
−0.142554 | + | 0.989787i | \(0.545532\pi\) | |||||||
\(84\) | 4.74218 | − | 0.506159i | 0.517414 | − | 0.0552265i | ||||
\(85\) | 0.583719 | 0.0633132 | ||||||||
\(86\) | 5.46514 | − | 6.11837i | 0.589321 | − | 0.659761i | ||||
\(87\) | −0.196236 | + | 0.339892i | −0.0210388 | + | 0.0364402i | ||||
\(88\) | 9.61812 | − | 4.42040i | 1.02529 | − | 0.471217i | ||||
\(89\) | −8.55647 | + | 4.94008i | −0.906984 | + | 0.523648i | −0.879460 | − | 0.475973i | \(-0.842096\pi\) |
−0.0275247 | + | 0.999621i | \(0.508763\pi\) | |||||||
\(90\) | −0.967745 | − | 2.93862i | −0.102009 | − | 0.309758i | ||||
\(91\) | −3.16604 | − | 5.56486i | −0.331891 | − | 0.583356i | ||||
\(92\) | −5.12447 | − | 6.93662i | −0.534263 | − | 0.723192i | ||||
\(93\) | 1.14402 | + | 1.98149i | 0.118629 | + | 0.205471i | ||||
\(94\) | −3.34020 | + | 16.0273i | −0.344515 | + | 1.65309i | ||||
\(95\) | 5.33433 | + | 3.07977i | 0.547290 | + | 0.315978i | ||||
\(96\) | −4.36382 | + | 2.63643i | −0.445381 | + | 0.269079i | ||||
\(97\) | − | 4.54044i | − | 0.461011i | −0.973071 | − | 0.230506i | \(-0.925962\pi\) | ||
0.973071 | − | 0.230506i | \(-0.0740380\pi\) | |||||||
\(98\) | 9.44122 | − | 2.97713i | 0.953708 | − | 0.300735i | ||||
\(99\) | − | 8.18738i | − | 0.822862i | ||||||
\(100\) | 1.83350 | + | 0.798926i | 0.183350 | + | 0.0798926i | ||||
\(101\) | 7.91930 | + | 4.57221i | 0.787999 | + | 0.454952i | 0.839258 | − | 0.543734i | \(-0.182990\pi\) |
−0.0512584 | + | 0.998685i | \(0.516323\pi\) | |||||||
\(102\) | −0.728358 | − | 0.151795i | −0.0721182 | − | 0.0150299i | ||||
\(103\) | −5.11597 | − | 8.86113i | −0.504092 | − | 0.873113i | −0.999989 | − | 0.00473128i | \(-0.998494\pi\) |
0.495897 | − | 0.868381i | \(-0.334839\pi\) | |||||||
\(104\) | 5.58490 | + | 3.95681i | 0.547645 | + | 0.387997i | ||||
\(105\) | 1.17917 | + | 2.07260i | 0.115075 | + | 0.202265i | ||||
\(106\) | 4.18410 | − | 1.37790i | 0.406396 | − | 0.133834i | ||||
\(107\) | −5.48368 | + | 3.16601i | −0.530128 | + | 0.306069i | −0.741068 | − | 0.671430i | \(-0.765681\pi\) |
0.210941 | + | 0.977499i | \(0.432347\pi\) | |||||||
\(108\) | 1.05134 | + | 9.29183i | 0.101166 | + | 0.894107i | ||||
\(109\) | 9.38027 | − | 16.2471i | 0.898467 | − | 1.55619i | 0.0690134 | − | 0.997616i | \(-0.478015\pi\) |
0.829454 | − | 0.558575i | \(-0.188652\pi\) | |||||||
\(110\) | 3.94724 | + | 3.52581i | 0.376355 | + | 0.336173i | ||||
\(111\) | 10.1851 | 0.966731 | ||||||||
\(112\) | −7.79664 | + | 7.15629i | −0.736713 | + | 0.676205i | ||||
\(113\) | 4.17847 | 0.393077 | 0.196539 | − | 0.980496i | \(-0.437030\pi\) | ||||
0.196539 | + | 0.980496i | \(0.437030\pi\) | |||||||
\(114\) | −5.85523 | − | 5.23009i | −0.548393 | − | 0.489843i | ||||
\(115\) | 2.15605 | − | 3.73439i | 0.201053 | − | 0.348234i | ||||
\(116\) | −0.0979179 | − | 0.865403i | −0.00909145 | − | 0.0803507i | ||||
\(117\) | 4.58475 | − | 2.64701i | 0.423861 | − | 0.244716i | ||||
\(118\) | −4.66198 | + | 1.53528i | −0.429170 | + | 0.141334i | ||||
\(119\) | −1.54434 | − | 0.00978348i | −0.141570 | − | 0.000896851i | ||||
\(120\) | −2.08006 | − | 1.47369i | −0.189883 | − | 0.134529i | ||||
\(121\) | 1.50301 | + | 2.60329i | 0.136637 | + | 0.236663i | ||||
\(122\) | −14.3814 | − | 2.99717i | −1.30203 | − | 0.271351i | ||||
\(123\) | −5.73743 | − | 3.31250i | −0.517326 | − | 0.298678i | ||||
\(124\) | −4.65461 | − | 2.02819i | −0.417997 | − | 0.182137i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 2.51111 | + | 7.79093i | 0.223707 | + | 0.694072i | ||||
\(127\) | − | 4.91036i | − | 0.435724i | −0.975980 | − | 0.217862i | \(-0.930092\pi\) | ||
0.975980 | − | 0.217862i | \(-0.0699083\pi\) | |||||||
\(128\) | 4.31243 | − | 10.4596i | 0.381169 | − | 0.924505i | ||||
\(129\) | −4.52782 | − | 2.61414i | −0.398652 | − | 0.230162i | ||||
\(130\) | −0.698219 | + | 3.35028i | −0.0612379 | + | 0.293839i | ||||
\(131\) | −7.93723 | − | 13.7477i | −0.693479 | − | 1.20114i | −0.970691 | − | 0.240332i | \(-0.922744\pi\) |
0.277212 | − | 0.960809i | \(-0.410590\pi\) | |||||||
\(132\) | −4.00845 | − | 5.42594i | −0.348891 | − | 0.472267i | ||||
\(133\) | −14.0614 | − | 8.23756i | −1.21928 | − | 0.714287i | ||||
\(134\) | 4.35501 | + | 13.2243i | 0.376216 | + | 1.14240i | ||||
\(135\) | −4.04915 | + | 2.33778i | −0.348496 | + | 0.201204i | ||||
\(136\) | 1.50016 | − | 0.689459i | 0.128637 | − | 0.0591206i | ||||
\(137\) | 3.92110 | − | 6.79155i | 0.335002 | − | 0.580241i | −0.648483 | − | 0.761229i | \(-0.724596\pi\) |
0.983485 | + | 0.180988i | \(0.0579295\pi\) | |||||||
\(138\) | −3.66142 | + | 4.09906i | −0.311680 | + | 0.348935i | ||||
\(139\) | −17.4044 | −1.47623 | −0.738113 | − | 0.674677i | \(-0.764283\pi\) | ||||
−0.738113 | + | 0.674677i | \(0.764283\pi\) | |||||||
\(140\) | −4.83749 | − | 2.14445i | −0.408843 | − | 0.181239i | ||||
\(141\) | 10.4337 | 0.878674 | ||||||||
\(142\) | −9.39067 | + | 10.5131i | −0.788048 | + | 0.882242i | ||||
\(143\) | −4.52820 | + | 7.84307i | −0.378667 | + | 0.655871i | ||||
\(144\) | −5.95805 | − | 6.40921i | −0.496505 | − | 0.534101i | ||||
\(145\) | 0.377122 | − | 0.217731i | 0.0313183 | − | 0.0180816i | ||||
\(146\) | 4.33463 | + | 13.1624i | 0.358736 | + | 1.08933i | ||||
\(147\) | −3.08500 | − | 5.50324i | −0.254446 | − | 0.453899i | ||||
\(148\) | −18.1789 | + | 13.4298i | −1.49429 | + | 1.10392i | ||||
\(149\) | −0.825776 | − | 1.43029i | −0.0676502 | − | 0.117174i | 0.830216 | − | 0.557441i | \(-0.188217\pi\) |
−0.897867 | + | 0.440268i | \(0.854884\pi\) | |||||||
\(150\) | 0.260047 | − | 1.24779i | 0.0212328 | − | 0.101882i | ||||
\(151\) | 6.37060 | + | 3.67807i | 0.518432 | + | 0.299317i | 0.736293 | − | 0.676663i | \(-0.236575\pi\) |
−0.217861 | + | 0.975980i | \(0.569908\pi\) | |||||||
\(152\) | 17.3469 | + | 1.61438i | 1.40702 | + | 0.130944i | ||||
\(153\) | − | 1.27700i | − | 0.103239i | ||||||
\(154\) | −10.3841 | − | 9.39438i | −0.836776 | − | 0.757021i | ||||
\(155\) | − | 2.53865i | − | 0.203909i | ||||||
\(156\) | 1.74246 | − | 3.99887i | 0.139509 | − | 0.320166i | ||||
\(157\) | −2.66953 | − | 1.54125i | −0.213052 | − | 0.123005i | 0.389677 | − | 0.920952i | \(-0.372587\pi\) |
−0.602729 | + | 0.797946i | \(0.705920\pi\) | |||||||
\(158\) | −0.635540 | − | 0.132451i | −0.0505609 | − | 0.0105372i | ||||
\(159\) | −1.40370 | − | 2.43128i | −0.111321 | − | 0.192813i | ||||
\(160\) | 5.65574 | − | 0.112397i | 0.447125 | − | 0.00888579i | ||||
\(161\) | −5.76685 | + | 9.84393i | −0.454491 | + | 0.775810i | ||||
\(162\) | −3.15545 | + | 1.03915i | −0.247915 | + | 0.0816433i | ||||
\(163\) | 3.91284 | − | 2.25908i | 0.306477 | − | 0.176945i | −0.338872 | − | 0.940833i | \(-0.610045\pi\) |
0.645349 | + | 0.763888i | \(0.276712\pi\) | |||||||
\(164\) | 14.6082 | − | 1.65287i | 1.14071 | − | 0.129068i | ||||
\(165\) | 1.68650 | − | 2.92110i | 0.131294 | − | 0.227408i | ||||
\(166\) | −2.73959 | − | 2.44710i | −0.212634 | − | 0.189932i | ||||
\(167\) | −16.9358 | −1.31053 | −0.655266 | − | 0.755398i | \(-0.727444\pi\) | ||||
−0.655266 | + | 0.755398i | \(0.727444\pi\) | |||||||
\(168\) | 5.47852 | + | 3.93380i | 0.422677 | + | 0.303499i | ||||
\(169\) | 7.14406 | 0.549543 | ||||||||
\(170\) | 0.615659 | + | 0.549927i | 0.0472189 | + | 0.0421775i | ||||
\(171\) | 6.73762 | − | 11.6699i | 0.515238 | − | 0.892419i | ||||
\(172\) | 11.5284 | − | 1.30440i | 0.879029 | − | 0.0994596i | ||||
\(173\) | 0.114919 | − | 0.0663486i | 0.00873715 | − | 0.00504439i | −0.495625 | − | 0.868537i | \(-0.665061\pi\) |
0.504362 | + | 0.863492i | \(0.331728\pi\) | |||||||
\(174\) | −0.527189 | + | 0.173613i | −0.0399661 | + | 0.0131616i | ||||
\(175\) | 0.0167606 | − | 2.64570i | 0.00126698 | − | 0.199996i | ||||
\(176\) | 14.3089 | + | 4.39904i | 1.07857 | + | 0.331590i | ||||
\(177\) | 1.56402 | + | 2.70897i | 0.117559 | + | 0.203618i | ||||
\(178\) | −13.6788 | − | 2.85074i | −1.02527 | − | 0.213672i | ||||
\(179\) | 13.9422 | + | 8.04953i | 1.04209 | + | 0.601650i | 0.920424 | − | 0.390921i | \(-0.127843\pi\) |
0.121664 | + | 0.992571i | \(0.461177\pi\) | |||||||
\(180\) | 1.74781 | − | 4.01114i | 0.130274 | − | 0.298973i | ||||
\(181\) | − | 3.99317i | − | 0.296810i | −0.988927 | − | 0.148405i | \(-0.952586\pi\) | ||
0.988927 | − | 0.148405i | \(-0.0474139\pi\) | |||||||
\(182\) | 1.90343 | − | 8.85212i | 0.141092 | − | 0.656163i | ||||
\(183\) | 9.36216i | 0.692071i | ||||||||
\(184\) | 1.13018 | − | 12.1440i | 0.0833177 | − | 0.895267i | ||||
\(185\) | −9.78676 | − | 5.65039i | −0.719537 | − | 0.415425i | ||||
\(186\) | −0.660170 | + | 3.16770i | −0.0484060 | + | 0.232267i | ||||
\(187\) | 1.09227 | + | 1.89187i | 0.0798749 | + | 0.138347i | ||||
\(188\) | −18.6225 | + | 13.7575i | −1.35818 | + | 1.00337i | ||||
\(189\) | 10.7520 | − | 6.11719i | 0.782094 | − | 0.444960i | ||||
\(190\) | 2.72472 | + | 8.27381i | 0.197672 | + | 0.600245i | ||||
\(191\) | 17.3638 | − | 10.0250i | 1.25640 | − | 0.725385i | 0.284030 | − | 0.958815i | \(-0.408329\pi\) |
0.972373 | + | 0.233431i | \(0.0749953\pi\) | |||||||
\(192\) | −7.08640 | − | 1.33051i | −0.511417 | − | 0.0960214i | ||||
\(193\) | −9.66959 | + | 16.7482i | −0.696032 | + | 1.20556i | 0.273799 | + | 0.961787i | \(0.411720\pi\) |
−0.969832 | + | 0.243776i | \(0.921614\pi\) | |||||||
\(194\) | 4.27759 | − | 4.78888i | 0.307113 | − | 0.343821i | ||||
\(195\) | 2.18101 | 0.156185 | ||||||||
\(196\) | 12.7626 | + | 5.75464i | 0.911615 | + | 0.411046i | ||||
\(197\) | −1.63738 | −0.116659 | −0.0583293 | − | 0.998297i | \(-0.518577\pi\) | ||||
−0.0583293 | + | 0.998297i | \(0.518577\pi\) | |||||||
\(198\) | 7.71340 | − | 8.63537i | 0.548168 | − | 0.613689i | ||||
\(199\) | 0.391632 | − | 0.678326i | 0.0277621 | − | 0.0480853i | −0.851811 | − | 0.523850i | \(-0.824495\pi\) |
0.879573 | + | 0.475765i | \(0.157829\pi\) | |||||||
\(200\) | 1.18115 | + | 2.57000i | 0.0835198 | + | 0.181726i | ||||
\(201\) | 7.68431 | − | 4.43654i | 0.542009 | − | 0.312929i | ||||
\(202\) | 4.04510 | + | 12.2832i | 0.284612 | + | 0.864245i | ||||
\(203\) | −1.00140 | + | 0.569731i | −0.0702845 | + | 0.0399873i | ||||
\(204\) | −0.625205 | − | 0.846294i | −0.0437731 | − | 0.0592524i | ||||
\(205\) | 3.67534 | + | 6.36588i | 0.256697 | + | 0.444612i | ||||
\(206\) | 2.95224 | − | 14.1658i | 0.205692 | − | 0.986978i | ||||
\(207\) | −8.16972 | − | 4.71679i | −0.567835 | − | 0.327839i | ||||
\(208\) | 2.16275 | + | 9.43491i | 0.149960 | + | 0.654193i | ||||
\(209\) | 23.0519i | 1.59453i | ||||||||
\(210\) | −0.708921 | + | 3.29692i | −0.0489202 | + | 0.227509i | ||||
\(211\) | 9.22534i | 0.635099i | 0.948242 | + | 0.317549i | \(0.102860\pi\) | ||||
−0.948242 | + | 0.317549i | \(0.897140\pi\) | |||||||
\(212\) | 5.71118 | + | 2.48858i | 0.392246 | + | 0.170916i | ||||
\(213\) | 7.78009 | + | 4.49184i | 0.533083 | + | 0.307776i | ||||
\(214\) | −8.76646 | − | 1.82699i | −0.599263 | − | 0.124890i | ||||
\(215\) | 2.90048 | + | 5.02378i | 0.197811 | + | 0.342619i | ||||
\(216\) | −7.64505 | + | 10.7907i | −0.520180 | + | 0.734217i | ||||
\(217\) | −0.0425494 | + | 6.71651i | −0.00288844 | + | 0.455946i | ||||
\(218\) | 25.2001 | − | 8.29887i | 1.70677 | − | 0.562071i | ||||
\(219\) | 7.64835 | − | 4.41578i | 0.516828 | − | 0.298391i | ||||
\(220\) | 0.841528 | + | 7.43747i | 0.0567358 | + | 0.501434i | ||||
\(221\) | −0.706272 | + | 1.22330i | −0.0475090 | + | 0.0822880i | ||||
\(222\) | 10.7425 | + | 9.59552i | 0.720986 | + | 0.644009i | ||||
\(223\) | 24.2380 | 1.62310 | 0.811550 | − | 0.584284i | \(-0.198624\pi\) | ||||
0.811550 | + | 0.584284i | \(0.198624\pi\) | |||||||
\(224\) | −14.9653 | + | 0.202576i | −0.999908 | + | 0.0135352i | ||||
\(225\) | 2.18770 | 0.145847 | ||||||||
\(226\) | 4.40710 | + | 3.93657i | 0.293156 | + | 0.261857i | ||||
\(227\) | 5.31623 | − | 9.20798i | 0.352851 | − | 0.611155i | −0.633897 | − | 0.773417i | \(-0.718546\pi\) |
0.986748 | + | 0.162262i | \(0.0518791\pi\) | |||||||
\(228\) | −1.24830 | − | 11.0325i | −0.0826707 | − | 0.730648i | ||||
\(229\) | −25.5589 | + | 14.7564i | −1.68898 | + | 0.975132i | −0.733676 | + | 0.679499i | \(0.762197\pi\) |
−0.955302 | + | 0.295633i | \(0.904470\pi\) | |||||||
\(230\) | 5.79223 | − | 1.90749i | 0.381928 | − | 0.125776i | ||||
\(231\) | −4.51093 | + | 7.70009i | −0.296797 | + | 0.506629i | ||||
\(232\) | 0.712029 | − | 1.00501i | 0.0467470 | − | 0.0659819i | ||||
\(233\) | −14.0351 | − | 24.3096i | −0.919472 | − | 1.59257i | −0.800218 | − | 0.599709i | \(-0.795283\pi\) |
−0.119254 | − | 0.992864i | \(-0.538050\pi\) | |||||||
\(234\) | 7.32940 | + | 1.52749i | 0.479138 | + | 0.0998553i | ||||
\(235\) | −10.0256 | − | 5.78826i | −0.653996 | − | 0.377585i | ||||
\(236\) | −6.36348 | − | 2.77281i | −0.414227 | − | 0.180495i | ||||
\(237\) | 0.413732i | 0.0268748i | ||||||||
\(238\) | −1.61963 | − | 1.46526i | −0.104985 | − | 0.0949787i | ||||
\(239\) | 13.6279i | 0.881512i | 0.897627 | + | 0.440756i | \(0.145290\pi\) | ||||
−0.897627 | + | 0.440756i | \(0.854710\pi\) | |||||||
\(240\) | −0.805504 | − | 3.51397i | −0.0519951 | − | 0.226826i | ||||
\(241\) | −3.64372 | − | 2.10370i | −0.234713 | − | 0.135512i | 0.378031 | − | 0.925793i | \(-0.376601\pi\) |
−0.612744 | + | 0.790281i | \(0.709934\pi\) | |||||||
\(242\) | −0.867332 | + | 4.16174i | −0.0557542 | + | 0.267527i | ||||
\(243\) | 8.07194 | + | 13.9810i | 0.517815 | + | 0.896882i | ||||
\(244\) | −12.3446 | − | 16.7100i | −0.790283 | − | 1.06975i | ||||
\(245\) | −0.0886870 | + | 6.99944i | −0.00566601 | + | 0.447178i | ||||
\(246\) | −2.93062 | − | 8.89904i | −0.186850 | − | 0.567382i | ||||
\(247\) | −12.9086 | + | 7.45276i | −0.821352 | + | 0.474208i | ||||
\(248\) | −2.99852 | − | 6.52433i | −0.190406 | − | 0.414295i | ||||
\(249\) | −1.17052 | + | 2.02740i | −0.0741787 | + | 0.128481i | ||||
\(250\) | −0.942109 | + | 1.05472i | −0.0595842 | + | 0.0667062i | ||||
\(251\) | −18.8826 | −1.19186 | −0.595928 | − | 0.803038i | \(-0.703216\pi\) | ||||
−0.595928 | + | 0.803038i | \(0.703216\pi\) | |||||||
\(252\) | −4.69140 | + | 10.5830i | −0.295531 | + | 0.666665i | ||||
\(253\) | 16.1379 | 1.01458 | ||||||||
\(254\) | 4.62610 | − | 5.17905i | 0.290267 | − | 0.324962i | ||||
\(255\) | 0.263046 | − | 0.455610i | 0.0164726 | − | 0.0285314i | ||||
\(256\) | 14.4025 | − | 6.96913i | 0.900155 | − | 0.435570i | ||||
\(257\) | 22.3734 | − | 12.9173i | 1.39561 | − | 0.805757i | 0.401682 | − | 0.915779i | \(-0.368426\pi\) |
0.993929 | + | 0.110022i | \(0.0350923\pi\) | |||||||
\(258\) | −2.31277 | − | 7.02288i | −0.143987 | − | 0.437225i | ||||
\(259\) | 25.7981 | + | 15.1133i | 1.60302 | + | 0.939092i | ||||
\(260\) | −3.89275 | + | 2.87580i | −0.241418 | + | 0.178349i | ||||
\(261\) | −0.476330 | − | 0.825028i | −0.0294841 | − | 0.0510680i | ||||
\(262\) | 4.58029 | − | 21.9777i | 0.282971 | − | 1.35779i | ||||
\(263\) | −9.26400 | − | 5.34857i | −0.571243 | − | 0.329807i | 0.186403 | − | 0.982473i | \(-0.440317\pi\) |
−0.757645 | + | 0.652666i | \(0.773650\pi\) | |||||||
\(264\) | 0.884043 | − | 9.49923i | 0.0544091 | − | 0.584637i | ||||
\(265\) | 3.11491i | 0.191347i | ||||||||
\(266\) | −7.07012 | − | 21.9357i | −0.433497 | − | 1.34496i | ||||
\(267\) | 8.90478i | 0.544963i | ||||||||
\(268\) | −7.86542 | + | 18.0508i | −0.480457 | + | 1.10263i | ||||
\(269\) | −7.24441 | − | 4.18256i | −0.441699 | − | 0.255015i | 0.262619 | − | 0.964900i | \(-0.415414\pi\) |
−0.704318 | + | 0.709884i | \(0.748747\pi\) | |||||||
\(270\) | −6.47316 | − | 1.34905i | −0.393944 | − | 0.0821004i | ||||
\(271\) | 13.5557 | + | 23.4791i | 0.823448 | + | 1.42625i | 0.903100 | + | 0.429430i | \(0.141286\pi\) |
−0.0796525 | + | 0.996823i | \(0.525381\pi\) | |||||||
\(272\) | 2.23179 | + | 0.686127i | 0.135322 | + | 0.0416025i | ||||
\(273\) | −5.77028 | − | 0.0365550i | −0.349234 | − | 0.00221241i | ||||
\(274\) | 10.5340 | − | 3.46906i | 0.636385 | − | 0.209574i | ||||
\(275\) | −3.24107 | + | 1.87123i | −0.195444 | + | 0.112839i | ||||
\(276\) | −7.72352 | + | 0.873895i | −0.464901 | + | 0.0526023i | ||||
\(277\) | −1.67991 | + | 2.90970i | −0.100936 | + | 0.174827i | −0.912071 | − | 0.410033i | \(-0.865517\pi\) |
0.811134 | + | 0.584860i | \(0.198850\pi\) | |||||||
\(278\) | −18.3568 | − | 16.3969i | −1.10097 | − | 0.983420i | ||||
\(279\) | −5.55380 | −0.332497 | ||||||||
\(280\) | −3.08189 | − | 6.81924i | −0.184178 | − | 0.407527i | ||||
\(281\) | −7.33947 | −0.437836 | −0.218918 | − | 0.975743i | \(-0.570253\pi\) | ||||
−0.218918 | + | 0.975743i | \(0.570253\pi\) | |||||||
\(282\) | 11.0046 | + | 9.82966i | 0.655313 | + | 0.585348i | ||||
\(283\) | −3.60282 | + | 6.24027i | −0.214165 | + | 0.370945i | −0.953014 | − | 0.302926i | \(-0.902036\pi\) |
0.738849 | + | 0.673871i | \(0.235370\pi\) | |||||||
\(284\) | −19.8090 | + | 2.24133i | −1.17545 | + | 0.132999i | ||||
\(285\) | 4.80771 | − | 2.77573i | 0.284784 | − | 0.164420i | ||||
\(286\) | −12.1650 | + | 4.00617i | −0.719332 | + | 0.236890i | ||||
\(287\) | −9.61715 | − | 16.9038i | −0.567682 | − | 0.997799i | ||||
\(288\) | −0.245892 | − | 12.3730i | −0.0144893 | − | 0.729089i | ||||
\(289\) | −8.32964 | − | 14.4274i | −0.489979 | − | 0.848668i | ||||
\(290\) | 0.602884 | + | 0.125645i | 0.0354026 | + | 0.00737812i | ||||
\(291\) | −3.54395 | − | 2.04610i | −0.207750 | − | 0.119944i | ||||
\(292\) | −7.82861 | + | 17.9663i | −0.458135 | + | 1.05140i | ||||
\(293\) | − | 8.47879i | − | 0.495336i | −0.968845 | − | 0.247668i | \(-0.920336\pi\) | ||
0.968845 | − | 0.247668i | \(-0.0796642\pi\) | |||||||
\(294\) | 1.93085 | − | 8.71077i | 0.112609 | − | 0.508022i | ||||
\(295\) | − | 3.47068i | − | 0.202071i | ||||||
\(296\) | −31.8259 | − | 2.96187i | −1.84984 | − | 0.172155i | ||||
\(297\) | −15.1538 | − | 8.74905i | −0.879312 | − | 0.507671i | ||||
\(298\) | 0.476525 | − | 2.28652i | 0.0276044 | − | 0.132455i | ||||
\(299\) | 5.21744 | + | 9.03686i | 0.301732 | + | 0.522615i | ||||
\(300\) | 1.44983 | − | 1.07107i | 0.0837060 | − | 0.0618384i | ||||
\(301\) | −7.58959 | − | 13.3400i | −0.437457 | − | 0.768905i | ||||
\(302\) | 3.25404 | + | 9.88112i | 0.187249 | + | 0.568595i | ||||
\(303\) | 7.13749 | − | 4.12083i | 0.410038 | − | 0.236736i | ||||
\(304\) | 16.7751 | + | 18.0454i | 0.962120 | + | 1.03497i | ||||
\(305\) | 5.19383 | − | 8.99597i | 0.297398 | − | 0.515108i | ||||
\(306\) | 1.20307 | − | 1.34687i | 0.0687752 | − | 0.0769957i | ||||
\(307\) | 10.4271 | 0.595104 | 0.297552 | − | 0.954706i | \(-0.403830\pi\) | ||||
0.297552 | + | 0.954706i | \(0.403830\pi\) | |||||||
\(308\) | −2.10177 | − | 19.6914i | −0.119760 | − | 1.12202i | ||||
\(309\) | −9.22183 | −0.524612 | ||||||||
\(310\) | 2.39169 | − | 2.67756i | 0.135839 | − | 0.152075i | ||||
\(311\) | −3.96296 | + | 6.86404i | −0.224719 | + | 0.389224i | −0.956235 | − | 0.292600i | \(-0.905480\pi\) |
0.731516 | + | 0.681824i | \(0.238813\pi\) | |||||||
\(312\) | 5.60518 | − | 2.57609i | 0.317331 | − | 0.145843i | ||||
\(313\) | 12.5285 | − | 7.23333i | 0.708152 | − | 0.408852i | −0.102224 | − | 0.994761i | \(-0.532596\pi\) |
0.810376 | + | 0.585910i | \(0.199263\pi\) | |||||||
\(314\) | −1.36357 | − | 4.14058i | −0.0769507 | − | 0.233666i | ||||
\(315\) | −5.78799 | − | 0.0366672i | −0.326116 | − | 0.00206596i | ||||
\(316\) | −0.545533 | − | 0.738447i | −0.0306886 | − | 0.0415409i | ||||
\(317\) | −1.76853 | − | 3.06318i | −0.0993305 | − | 0.172046i | 0.812077 | − | 0.583550i | \(-0.198337\pi\) |
−0.911408 | + | 0.411504i | \(0.865003\pi\) | |||||||
\(318\) | 0.810024 | − | 3.88675i | 0.0454239 | − | 0.217958i | ||||
\(319\) | 1.41136 | + | 0.814851i | 0.0790212 | + | 0.0456229i | ||||
\(320\) | 6.07110 | + | 5.20978i | 0.339385 | + | 0.291235i | ||||
\(321\) | 5.70690i | 0.318528i | ||||||||
\(322\) | −15.3565 | + | 4.94957i | −0.855782 | + | 0.275829i | ||||
\(323\) | 3.59544i | 0.200056i | ||||||||
\(324\) | −4.30710 | − | 1.87677i | −0.239283 | − | 0.104265i | ||||
\(325\) | −2.09570 | − | 1.20995i | −0.116248 | − | 0.0671161i | ||||
\(326\) | 6.25524 | + | 1.30363i | 0.346446 | + | 0.0722015i | ||||
\(327\) | −8.45423 | − | 14.6432i | −0.467520 | − | 0.809769i | ||||
\(328\) | 16.9647 | + | 12.0192i | 0.936717 | + | 0.663648i | ||||
\(329\) | 26.4276 | + | 15.4820i | 1.45700 | + | 0.853552i | ||||
\(330\) | 4.53078 | − | 1.49207i | 0.249411 | − | 0.0821359i | ||||
\(331\) | −20.3773 | + | 11.7649i | −1.12004 | + | 0.646655i | −0.941411 | − | 0.337261i | \(-0.890499\pi\) |
−0.178629 | + | 0.983917i | \(0.557166\pi\) | |||||||
\(332\) | −0.584065 | − | 5.16199i | −0.0320547 | − | 0.283301i | ||||
\(333\) | −12.3613 | + | 21.4105i | −0.677397 | + | 1.17329i | ||||
\(334\) | −17.8625 | − | 15.9554i | −0.977393 | − | 0.873040i | ||||
\(335\) | −9.84499 | −0.537890 | ||||||||
\(336\) | 2.07222 | + | 9.31041i | 0.113049 | + | 0.507924i | ||||
\(337\) | 5.10057 | 0.277846 | 0.138923 | − | 0.990303i | \(-0.455636\pi\) | ||||
0.138923 | + | 0.990303i | \(0.455636\pi\) | |||||||
\(338\) | 7.53497 | + | 6.73049i | 0.409848 | + | 0.366090i | ||||
\(339\) | 1.88298 | − | 3.26142i | 0.102269 | − | 0.177136i | ||||
\(340\) | 0.131255 | + | 1.16004i | 0.00711829 | + | 0.0629118i | ||||
\(341\) | 8.22794 | − | 4.75040i | 0.445568 | − | 0.257249i | ||||
\(342\) | 18.1006 | − | 5.96087i | 0.978768 | − | 0.322327i | ||||
\(343\) | 0.351954 | − | 18.5169i | 0.0190037 | − | 0.999819i | ||||
\(344\) | 13.3880 | + | 9.48520i | 0.721835 | + | 0.511407i | ||||
\(345\) | −1.94320 | − | 3.36572i | −0.104618 | − | 0.181204i | ||||
\(346\) | 0.183715 | + | 0.0382874i | 0.00987658 | + | 0.00205834i | ||||
\(347\) | −1.44316 | − | 0.833209i | −0.0774729 | − | 0.0447290i | 0.460763 | − | 0.887523i | \(-0.347576\pi\) |
−0.538236 | + | 0.842794i | \(0.680909\pi\) | |||||||
\(348\) | −0.719599 | − | 0.313557i | −0.0385745 | − | 0.0168084i | ||||
\(349\) | 27.6081i | 1.47783i | 0.673801 | + | 0.738913i | \(0.264661\pi\) | ||||
−0.673801 | + | 0.738913i | \(0.735339\pi\) | |||||||
\(350\) | 2.51022 | − | 2.77467i | 0.134177 | − | 0.148313i | ||||
\(351\) | − | 11.3144i | − | 0.603918i | ||||||
\(352\) | 10.9475 | + | 18.1203i | 0.583503 | + | 0.965815i | ||||
\(353\) | 23.5193 | + | 13.5789i | 1.25180 | + | 0.722730i | 0.971468 | − | 0.237172i | \(-0.0762205\pi\) |
0.280337 | + | 0.959902i | \(0.409554\pi\) | |||||||
\(354\) | −0.902540 | + | 4.33067i | −0.0479695 | + | 0.230173i | ||||
\(355\) | −4.98385 | − | 8.63229i | −0.264516 | − | 0.458154i | ||||
\(356\) | −11.7415 | − | 15.8936i | −0.622300 | − | 0.842360i | ||||
\(357\) | −0.703578 | + | 1.20100i | −0.0372373 | + | 0.0635635i | ||||
\(358\) | 7.12154 | + | 21.6251i | 0.376385 | + | 1.14292i | ||||
\(359\) | 14.5102 | − | 8.37747i | 0.765819 | − | 0.442146i | −0.0655619 | − | 0.997849i | \(-0.520884\pi\) |
0.831381 | + | 0.555703i | \(0.187551\pi\) | |||||||
\(360\) | 5.62238 | − | 2.58400i | 0.296325 | − | 0.136189i | ||||
\(361\) | −9.47002 | + | 16.4026i | −0.498422 | + | 0.863293i | ||||
\(362\) | 3.76200 | − | 4.21166i | 0.197726 | − | 0.221360i | ||||
\(363\) | 2.70926 | 0.142199 | ||||||||
\(364\) | 10.3472 | − | 7.54325i | 0.542343 | − | 0.395374i | ||||
\(365\) | −9.79892 | −0.512899 | ||||||||
\(366\) | −8.82018 | + | 9.87444i | −0.461038 | + | 0.516145i | ||||
\(367\) | 4.22213 | − | 7.31294i | 0.220393 | − | 0.381732i | −0.734534 | − | 0.678572i | \(-0.762599\pi\) |
0.954927 | + | 0.296839i | \(0.0959326\pi\) | |||||||
\(368\) | 12.6330 | − | 11.7437i | 0.658540 | − | 0.612184i | ||||
\(369\) | 13.9266 | − | 8.04054i | 0.724991 | − | 0.418574i | ||||
\(370\) | −4.99899 | − | 15.1798i | −0.259885 | − | 0.789158i | ||||
\(371\) | 0.0522078 | − | 8.24111i | 0.00271049 | − | 0.427857i | ||||
\(372\) | −3.68062 | + | 2.71908i | −0.190831 | + | 0.140978i | ||||
\(373\) | 5.18861 | + | 8.98694i | 0.268656 | + | 0.465326i | 0.968515 | − | 0.248955i | \(-0.0800871\pi\) |
−0.699859 | + | 0.714281i | \(0.746754\pi\) | |||||||
\(374\) | −0.630311 | + | 3.02443i | −0.0325926 | + | 0.156390i | ||||
\(375\) | 0.780530 | + | 0.450639i | 0.0403064 | + | 0.0232709i | ||||
\(376\) | −32.6025 | − | 3.03414i | −1.68134 | − | 0.156474i | ||||
\(377\) | 1.05378i | 0.0542723i | ||||||||
\(378\) | 17.1034 | + | 3.67767i | 0.879704 | + | 0.189159i | ||||
\(379\) | 11.7976i | 0.606002i | 0.952990 | + | 0.303001i | \(0.0979886\pi\) | ||||
−0.952990 | + | 0.303001i | \(0.902011\pi\) | |||||||
\(380\) | −4.92102 | + | 11.2935i | −0.252443 | + | 0.579346i | ||||
\(381\) | −3.83268 | − | 2.21280i | −0.196354 | − | 0.113365i | ||||
\(382\) | 27.7586 | + | 5.78507i | 1.42025 | + | 0.295990i | ||||
\(383\) | −0.478522 | − | 0.828825i | −0.0244514 | − | 0.0423510i | 0.853541 | − | 0.521026i | \(-0.174451\pi\) |
−0.877992 | + | 0.478675i | \(0.841117\pi\) | |||||||
\(384\) | −6.22067 | − | 8.07948i | −0.317447 | − | 0.412304i | ||||
\(385\) | 8.60625 | − | 4.89639i | 0.438615 | − | 0.249543i | ||||
\(386\) | −25.9773 | + | 8.55483i | −1.32221 | + | 0.435430i | ||||
\(387\) | 10.9905 | − | 6.34537i | 0.558679 | − | 0.322553i | ||||
\(388\) | 9.02330 | − | 1.02096i | 0.458088 | − | 0.0518314i | ||||
\(389\) | 15.0820 | − | 26.1228i | 0.764689 | − | 1.32448i | −0.175722 | − | 0.984440i | \(-0.556226\pi\) |
0.940411 | − | 0.340041i | \(-0.110441\pi\) | |||||||
\(390\) | 2.30035 | + | 2.05475i | 0.116483 | + | 0.104046i | ||||
\(391\) | 2.51705 | 0.127293 | ||||||||
\(392\) | 8.03945 | + | 18.0933i | 0.406054 | + | 0.913849i | ||||
\(393\) | −14.3073 | −0.721708 | ||||||||
\(394\) | −1.72697 | − | 1.54259i | −0.0870037 | − | 0.0777147i | ||||
\(395\) | 0.229525 | − | 0.397549i | 0.0115487 | − | 0.0200029i | ||||
\(396\) | 16.2709 | − | 1.84101i | 0.817645 | − | 0.0925142i | ||||
\(397\) | −5.37540 | + | 3.10349i | −0.269783 | + | 0.155760i | −0.628789 | − | 0.777576i | \(-0.716449\pi\) |
0.359006 | + | 0.933335i | \(0.383116\pi\) | |||||||
\(398\) | 1.05212 | − | 0.346483i | 0.0527380 | − | 0.0173676i | ||||
\(399\) | −12.7663 | + | 7.26317i | −0.639113 | + | 0.363613i | ||||
\(400\) | −1.17544 | + | 3.82339i | −0.0587720 | + | 0.191170i | ||||
\(401\) | −13.1565 | − | 22.7877i | −0.657004 | − | 1.13796i | −0.981387 | − | 0.192038i | \(-0.938490\pi\) |
0.324384 | − | 0.945926i | \(-0.394843\pi\) | |||||||
\(402\) | 12.2845 | + | 2.56017i | 0.612694 | + | 0.127689i | ||||
\(403\) | 5.32025 | + | 3.07165i | 0.265020 | + | 0.153010i | ||||
\(404\) | −7.30571 | + | 16.7663i | −0.363473 | + | 0.834153i | ||||
\(405\) | − | 2.34912i | − | 0.116728i | ||||||
\(406\) | −1.59294 | − | 0.342523i | −0.0790564 | − | 0.0169991i | ||||
\(407\) | − | 42.2927i | − | 2.09637i | ||||||
\(408\) | 0.137886 | − | 1.48161i | 0.00682637 | − | 0.0733508i | ||||
\(409\) | −15.9374 | − | 9.20148i | −0.788055 | − | 0.454984i | 0.0512223 | − | 0.998687i | \(-0.483688\pi\) |
−0.839277 | + | 0.543703i | \(0.817022\pi\) | |||||||
\(410\) | −2.12091 | + | 10.1768i | −0.104744 | + | 0.502595i | ||||
\(411\) | −3.53400 | − | 6.12107i | −0.174320 | − | 0.301930i | ||||
\(412\) | 16.4595 | − | 12.1596i | 0.810902 | − | 0.599060i | ||||
\(413\) | −0.0581707 | + | 9.18236i | −0.00286239 | + | 0.451834i | ||||
\(414\) | −4.17302 | − | 12.6716i | −0.205093 | − | 0.622777i | ||||
\(415\) | 2.24947 | − | 1.29873i | 0.110422 | − | 0.0637523i | ||||
\(416\) | −6.60762 | + | 11.9887i | −0.323965 | + | 0.587795i | ||||
\(417\) | −7.84312 | + | 13.5847i | −0.384079 | + | 0.665245i | ||||
\(418\) | −21.7174 | + | 24.3132i | −1.06223 | + | 1.18920i | ||||
\(419\) | 35.2426 | 1.72171 | 0.860856 | − | 0.508848i | \(-0.169928\pi\) | ||||
0.860856 | + | 0.508848i | \(0.169928\pi\) | |||||||
\(420\) | −3.85377 | + | 2.80944i | −0.188045 | + | 0.137086i | ||||
\(421\) | −15.6669 | −0.763558 | −0.381779 | − | 0.924254i | \(-0.624688\pi\) | ||||
−0.381779 | + | 0.924254i | \(0.624688\pi\) | |||||||
\(422\) | −8.69128 | + | 9.73014i | −0.423085 | + | 0.473656i | ||||
\(423\) | −12.6630 | + | 21.9329i | −0.615695 | + | 1.06641i | ||||
\(424\) | 3.67917 | + | 8.00531i | 0.178676 | + | 0.388772i | ||||
\(425\) | −0.505515 | + | 0.291859i | −0.0245211 | + | 0.0141573i | ||||
\(426\) | 3.97400 | + | 12.0673i | 0.192541 | + | 0.584664i | ||||
\(427\) | −13.8921 | + | 23.7136i | −0.672285 | + | 1.14758i | ||||
\(428\) | −7.52492 | − | 10.1859i | −0.363731 | − | 0.492355i | ||||
\(429\) | 4.08117 | + | 7.06879i | 0.197041 | + | 0.341284i | ||||
\(430\) | −1.67376 | + | 8.03123i | −0.0807159 | + | 0.387300i | ||||
\(431\) | −1.73673 | − | 1.00270i | −0.0836555 | − | 0.0482985i | 0.457589 | − | 0.889164i | \(-0.348713\pi\) |
−0.541244 | + | 0.840865i | \(0.682047\pi\) | |||||||
\(432\) | −18.2294 | + | 4.17871i | −0.877064 | + | 0.201048i | ||||
\(433\) | − | 13.5978i | − | 0.653469i | −0.945116 | − | 0.326734i | \(-0.894052\pi\) | ||
0.945116 | − | 0.326734i | \(-0.105948\pi\) | |||||||
\(434\) | −6.37256 | + | 7.04393i | −0.305893 | + | 0.338120i | ||||
\(435\) | − | 0.392473i | − | 0.0188176i | ||||||
\(436\) | 34.3974 | + | 14.9883i | 1.64734 | + | 0.717809i | ||||
\(437\) | 23.0022 | + | 13.2803i | 1.10034 | + | 0.635283i | ||||
\(438\) | 12.2270 | + | 2.54818i | 0.584228 | + | 0.121757i | ||||
\(439\) | −14.5247 | − | 25.1574i | −0.693224 | − | 1.20070i | −0.970776 | − | 0.239989i | \(-0.922856\pi\) |
0.277552 | − | 0.960711i | \(-0.410477\pi\) | |||||||
\(440\) | −6.11933 | + | 8.63724i | −0.291728 | + | 0.411764i | ||||
\(441\) | 15.3127 | + | 0.194020i | 0.729174 | + | 0.00923907i | ||||
\(442\) | −1.89740 | + | 0.624849i | −0.0902500 | + | 0.0297211i | ||||
\(443\) | 12.6757 | − | 7.31831i | 0.602240 | − | 0.347703i | −0.167683 | − | 0.985841i | \(-0.553628\pi\) |
0.769922 | + | 0.638138i | \(0.220295\pi\) | |||||||
\(444\) | 2.29023 | + | 20.2411i | 0.108689 | + | 0.960601i | ||||
\(445\) | 4.94008 | − | 8.55647i | 0.234182 | − | 0.405616i | ||||
\(446\) | 25.5643 | + | 22.8349i | 1.21050 | + | 1.08126i | ||||
\(447\) | −1.48851 | −0.0704040 | ||||||||
\(448\) | −15.9750 | − | 13.8853i | −0.754747 | − | 0.656016i | ||||
\(449\) | −27.0699 | −1.27751 | −0.638754 | − | 0.769411i | \(-0.720550\pi\) | ||||
−0.638754 | + | 0.769411i | \(0.720550\pi\) | |||||||
\(450\) | 2.30740 | + | 2.06105i | 0.108772 | + | 0.0971589i | ||||
\(451\) | −13.7548 | + | 23.8241i | −0.647689 | + | 1.12183i | ||||
\(452\) | 0.939568 | + | 8.30395i | 0.0441936 | + | 0.390585i | ||||
\(453\) | 5.74168 | − | 3.31496i | 0.269768 | − | 0.155750i | ||||
\(454\) | 14.2820 | − | 4.70335i | 0.670290 | − | 0.220739i | ||||
\(455\) | 5.52431 | + | 3.23629i | 0.258983 | + | 0.151720i | ||||
\(456\) | 9.07725 | − | 12.8122i | 0.425081 | − | 0.599989i | ||||
\(457\) | 3.80306 | + | 6.58709i | 0.177900 | + | 0.308131i | 0.941161 | − | 0.337959i | \(-0.109736\pi\) |
−0.763261 | + | 0.646090i | \(0.776403\pi\) | |||||||
\(458\) | −40.8596 | − | 8.51539i | −1.90924 | − | 0.397898i | ||||
\(459\) | −2.36357 | − | 1.36461i | −0.110322 | − | 0.0636943i | ||||
\(460\) | 7.90623 | + | 3.44505i | 0.368630 | + | 0.160626i | ||||
\(461\) | − | 12.7953i | − | 0.595936i | −0.954576 | − | 0.297968i | \(-0.903691\pi\) | ||
0.954576 | − | 0.297968i | \(-0.0963089\pi\) | |||||||
\(462\) | −12.0121 | + | 3.87163i | −0.558853 | + | 0.180125i | ||||
\(463\) | − | 27.9178i | − | 1.29745i | −0.761024 | − | 0.648724i | \(-0.775303\pi\) | ||
0.761024 | − | 0.648724i | \(-0.224697\pi\) | |||||||
\(464\) | 1.69782 | − | 0.389188i | 0.0788191 | − | 0.0180676i | ||||
\(465\) | −1.98149 | − | 1.14402i | −0.0918895 | − | 0.0530524i | ||||
\(466\) | 8.09917 | − | 38.8624i | 0.375187 | − | 1.80026i | ||||
\(467\) | 11.3054 | + | 19.5815i | 0.523152 | + | 0.906126i | 0.999637 | + | 0.0269432i | \(0.00857731\pi\) |
−0.476485 | + | 0.879183i | \(0.658089\pi\) | |||||||
\(468\) | 6.29138 | + | 8.51617i | 0.290819 | + | 0.393660i | ||||
\(469\) | 26.0469 | + | 0.165008i | 1.20273 | + | 0.00761937i | ||||
\(470\) | −5.12097 | − | 15.5502i | −0.236213 | − | 0.717276i | ||||
\(471\) | −2.40599 | + | 1.38910i | −0.110862 | + | 0.0640062i | ||||
\(472\) | −4.09938 | − | 8.91963i | −0.188689 | − | 0.410559i | ||||
\(473\) | −10.8549 | + | 18.8013i | −0.499110 | + | 0.864484i | ||||
\(474\) | −0.389781 | + | 0.436371i | −0.0179032 | + | 0.0200432i | ||||
\(475\) | −6.15955 | −0.282620 | ||||||||
\(476\) | −0.327817 | − | 3.07130i | −0.0150255 | − | 0.140773i | ||||
\(477\) | 6.81448 | 0.312014 | ||||||||
\(478\) | −12.8389 | + | 14.3735i | −0.587239 | + | 0.657430i | ||||
\(479\) | 10.9907 | − | 19.0365i | 0.502180 | − | 0.869801i | −0.497817 | − | 0.867282i | \(-0.665865\pi\) |
0.999997 | − | 0.00251901i | \(-0.000801826\pi\) | |||||||
\(480\) | 2.46097 | − | 4.46512i | 0.112327 | − | 0.203804i | ||||
\(481\) | 23.6830 | − | 13.6734i | 1.07985 | − | 0.623453i | ||||
\(482\) | −1.86118 | − | 5.65160i | −0.0847744 | − | 0.257423i | ||||
\(483\) | 5.08471 | + | 8.93726i | 0.231362 | + | 0.406659i | ||||
\(484\) | −4.83560 | + | 3.57234i | −0.219800 | + | 0.162379i | ||||
\(485\) | 2.27022 | + | 3.93213i | 0.103085 | + | 0.178549i | ||||
\(486\) | −4.65802 | + | 22.3507i | −0.211292 | + | 1.01385i | ||||
\(487\) | −21.9822 | − | 12.6914i | −0.996108 | − | 0.575103i | −0.0890138 | − | 0.996030i | \(-0.528372\pi\) |
−0.907095 | + | 0.420927i | \(0.861705\pi\) | |||||||
\(488\) | 2.72254 | − | 29.2543i | 0.123244 | − | 1.32428i | ||||
\(489\) | − | 4.07212i | − | 0.184147i | ||||||
\(490\) | −6.68778 | + | 7.29888i | −0.302123 | + | 0.329730i | ||||
\(491\) | − | 36.4635i | − | 1.64557i | −0.568350 | − | 0.822787i | \(-0.692418\pi\) | ||
0.568350 | − | 0.822787i | \(-0.307582\pi\) | |||||||
\(492\) | 5.29289 | − | 12.1469i | 0.238622 | − | 0.547627i | ||||
\(493\) | 0.220133 | + | 0.127094i | 0.00991429 | + | 0.00572402i | ||||
\(494\) | −20.6362 | − | 4.30072i | −0.928467 | − | 0.193498i | ||||
\(495\) | 4.09369 | + | 7.09048i | 0.183998 | + | 0.318693i | ||||
\(496\) | 2.98403 | − | 9.70626i | 0.133987 | − | 0.435824i | ||||
\(497\) | 13.0411 | + | 22.9220i | 0.584973 | + | 1.02819i | ||||
\(498\) | −3.14460 | + | 1.03558i | −0.140913 | + | 0.0464053i | ||||
\(499\) | −10.2874 | + | 5.93945i | −0.460528 | + | 0.265886i | −0.712266 | − | 0.701909i | \(-0.752331\pi\) |
0.251738 | + | 0.967795i | \(0.418998\pi\) | |||||||
\(500\) | −1.98732 | + | 0.224860i | −0.0888756 | + | 0.0100560i | ||||
\(501\) | −7.63194 | + | 13.2189i | −0.340970 | + | 0.590577i | ||||
\(502\) | −19.9158 | − | 17.7894i | −0.888884 | − | 0.793981i | ||||
\(503\) | −17.3055 | −0.771614 | −0.385807 | − | 0.922580i | \(-0.626077\pi\) | ||||
−0.385807 | + | 0.922580i | \(0.626077\pi\) | |||||||
\(504\) | −14.9184 | + | 6.74224i | −0.664520 | + | 0.300323i | ||||
\(505\) | −9.14442 | −0.406921 | ||||||||
\(506\) | 17.0209 | + | 15.2036i | 0.756672 | + | 0.675884i | ||||
\(507\) | 3.21939 | − | 5.57615i | 0.142978 | − | 0.247646i | ||||
\(508\) | 9.75846 | − | 1.10414i | 0.432962 | − | 0.0489884i | ||||
\(509\) | −11.8717 | + | 6.85414i | −0.526205 | + | 0.303805i | −0.739470 | − | 0.673190i | \(-0.764924\pi\) |
0.213265 | + | 0.976994i | \(0.431590\pi\) | |||||||
\(510\) | 0.706674 | − | 0.232721i | 0.0312921 | − | 0.0103051i | ||||
\(511\) | 25.9250 | + | 0.164236i | 1.14685 | + | 0.00726537i | ||||
\(512\) | 21.7562 | + | 6.21824i | 0.961498 | + | 0.274810i | ||||
\(513\) | −14.3997 | − | 24.9410i | −0.635761 | − | 1.10117i | ||||
\(514\) | 35.7671 | + | 7.45408i | 1.57762 | + | 0.328785i | ||||
\(515\) | 8.86113 | + | 5.11597i | 0.390468 | + | 0.225437i | ||||
\(516\) | 4.17700 | − | 9.58603i | 0.183882 | − | 0.422002i | ||||
\(517\) | − | 43.3247i | − | 1.90542i | ||||||
\(518\) | 12.9714 | + | 40.2449i | 0.569930 | + | 1.76826i | ||||
\(519\) | − | 0.119597i | − | 0.00524973i | ||||||
\(520\) | −6.81507 | − | 0.634243i | −0.298861 | − | 0.0278134i | ||||
\(521\) | 31.4817 | + | 18.1760i | 1.37924 | + | 0.796304i | 0.992068 | − | 0.125704i | \(-0.0401190\pi\) |
0.387171 | + | 0.922008i | \(0.373452\pi\) | |||||||
\(522\) | 0.274873 | − | 1.31893i | 0.0120309 | − | 0.0577279i | ||||
\(523\) | 2.13211 | + | 3.69292i | 0.0932306 | + | 0.161480i | 0.908869 | − | 0.417082i | \(-0.136947\pi\) |
−0.815638 | + | 0.578562i | \(0.803614\pi\) | |||||||
\(524\) | 25.5363 | − | 18.8651i | 1.11556 | − | 0.824126i | ||||
\(525\) | −2.05749 | − | 1.20534i | −0.0897964 | − | 0.0526052i | ||||
\(526\) | −4.73196 | − | 14.3689i | −0.206323 | − | 0.626515i | ||||
\(527\) | 1.28333 | − | 0.740929i | 0.0559026 | − | 0.0322754i | ||||
\(528\) | 9.88173 | − | 9.18614i | 0.430047 | − | 0.399776i | ||||
\(529\) | −2.20289 | + | 3.81552i | −0.0957778 | + | 0.165892i | ||||
\(530\) | −2.93459 | + | 3.28535i | −0.127470 | + | 0.142707i | ||||
\(531\) | −7.59279 | −0.329499 | ||||||||
\(532\) | 13.2088 | − | 29.7968i | 0.572675 | − | 1.29185i | ||||
\(533\) | −17.7879 | −0.770482 | ||||||||
\(534\) | −8.38927 | + | 9.39203i | −0.363039 | + | 0.406433i | ||||
\(535\) | 3.16601 | − | 5.48368i | 0.136878 | − | 0.237080i | ||||
\(536\) | −25.3016 | + | 11.6284i | −1.09286 | + | 0.502270i | ||||
\(537\) | 12.5658 | − | 7.25487i | 0.542254 | − | 0.313071i | ||||
\(538\) | −3.70038 | − | 11.2364i | −0.159535 | − | 0.484438i | ||||
\(539\) | −22.8516 | + | 12.8101i | −0.984288 | + | 0.551771i | ||||
\(540\) | −5.55640 | − | 7.52129i | −0.239110 | − | 0.323665i | ||||
\(541\) | 3.34133 | + | 5.78736i | 0.143655 | + | 0.248818i | 0.928870 | − | 0.370405i | \(-0.120781\pi\) |
−0.785215 | + | 0.619223i | \(0.787448\pi\) | |||||||
\(542\) | −7.82248 | + | 37.5347i | −0.336004 | + | 1.61225i | ||||
\(543\) | −3.11679 | − | 1.79948i | −0.133754 | − | 0.0772229i | ||||
\(544\) | 1.70750 | + | 2.82626i | 0.0732084 | + | 0.121175i | ||||
\(545\) | 18.7605i | 0.803614i | ||||||||
\(546\) | −6.05158 | − | 5.47479i | −0.258984 | − | 0.234300i | ||||
\(547\) | 45.6888i | 1.95351i | 0.214353 | + | 0.976756i | \(0.431236\pi\) | ||||
−0.214353 | + | 0.976756i | \(0.568764\pi\) | |||||||
\(548\) | 14.3787 | + | 6.26534i | 0.614226 | + | 0.267642i | ||||
\(549\) | −19.6805 | − | 11.3625i | −0.839942 | − | 0.484941i | ||||
\(550\) | −5.18132 | − | 1.07982i | −0.220932 | − | 0.0460436i | ||||
\(551\) | 1.34113 | + | 2.32290i | 0.0571339 | + | 0.0989589i | ||||
\(552\) | −8.96944 | − | 6.35469i | −0.381765 | − | 0.270474i | ||||
\(553\) | −0.613918 | + | 1.04795i | −0.0261064 | + | 0.0445633i | ||||
\(554\) | −4.51309 | + | 1.48625i | −0.191743 | + | 0.0631445i | ||||
\(555\) | −8.82059 | + | 5.09257i | −0.374413 | + | 0.216168i | ||||
\(556\) | −3.91355 | − | 34.5882i | −0.165972 | − | 1.46687i | ||||
\(557\) | −2.44203 | + | 4.22972i | −0.103472 | + | 0.179219i | −0.913113 | − | 0.407707i | \(-0.866329\pi\) |
0.809641 | + | 0.586926i | \(0.199662\pi\) | |||||||
\(558\) | −5.85769 | − | 5.23229i | −0.247976 | − | 0.221500i | ||||
\(559\) | −14.0378 | −0.593734 | ||||||||
\(560\) | 3.17394 | − | 10.0958i | 0.134124 | − | 0.426627i | ||||
\(561\) | 1.96888 | 0.0831263 | ||||||||
\(562\) | −7.74107 | − | 6.91459i | −0.326538 | − | 0.291674i | ||||
\(563\) | 1.36792 | − | 2.36931i | 0.0576509 | − | 0.0998543i | −0.835760 | − | 0.549096i | \(-0.814972\pi\) |
0.893410 | + | 0.449241i | \(0.148306\pi\) | |||||||
\(564\) | 2.34611 | + | 20.7350i | 0.0987891 | + | 0.873103i | ||||
\(565\) | −3.61866 | + | 2.08923i | −0.152238 | + | 0.0878947i | ||||
\(566\) | −9.67897 | + | 3.18747i | −0.406838 | + | 0.133979i | ||||
\(567\) | −0.0393726 | + | 6.21505i | −0.00165349 | + | 0.261008i | ||||
\(568\) | −23.0045 | − | 16.2983i | −0.965248 | − | 0.683861i | ||||
\(569\) | −2.29674 | − | 3.97807i | −0.0962843 | − | 0.166769i | 0.813860 | − | 0.581062i | \(-0.197362\pi\) |
−0.910144 | + | 0.414292i | \(0.864029\pi\) | |||||||
\(570\) | 7.68582 | + | 1.60177i | 0.321924 | + | 0.0670910i | ||||
\(571\) | −4.86573 | − | 2.80923i | −0.203625 | − | 0.117563i | 0.394720 | − | 0.918801i | \(-0.370841\pi\) |
−0.598345 | + | 0.801239i | \(0.704175\pi\) | |||||||
\(572\) | −16.6049 | − | 7.23539i | −0.694286 | − | 0.302527i | ||||
\(573\) | − | 18.0707i | − | 0.754912i | ||||||
\(574\) | 5.78185 | − | 26.8891i | 0.241330 | − | 1.12233i | ||||
\(575\) | 4.31210i | 0.179827i | ||||||||
\(576\) | 11.3974 | − | 13.2817i | 0.474892 | − | 0.553405i | ||||
\(577\) | −29.7446 | − | 17.1731i | −1.23828 | − | 0.714924i | −0.269541 | − | 0.962989i | \(-0.586872\pi\) |
−0.968743 | + | 0.248065i | \(0.920205\pi\) | |||||||
\(578\) | 4.80673 | − | 23.0642i | 0.199934 | − | 0.959345i | ||||
\(579\) | 8.71499 | + | 15.0948i | 0.362182 | + | 0.627318i | ||||
\(580\) | 0.517501 | + | 0.700502i | 0.0214881 | + | 0.0290868i | ||||
\(581\) | −5.97319 | + | 3.39835i | −0.247810 | + | 0.140987i | ||||
\(582\) | −1.81021 | − | 5.49684i | −0.0750358 | − | 0.227851i | ||||
\(583\) | −10.0956 | + | 5.82872i | −0.418118 | + | 0.241401i | ||||
\(584\) | −25.1832 | + | 11.5740i | −1.04209 | + | 0.478935i | ||||
\(585\) | −2.64701 | + | 4.58475i | −0.109440 | + | 0.189556i | ||||
\(586\) | 7.98795 | − | 8.94273i | 0.329979 | − | 0.369421i | ||||
\(587\) | 40.1422 | 1.65685 | 0.828423 | − | 0.560103i | \(-0.189238\pi\) | ||||
0.828423 | + | 0.560103i | \(0.189238\pi\) | |||||||
\(588\) | 10.2430 | − | 7.36833i | 0.422414 | − | 0.303865i | ||||
\(589\) | 15.6369 | 0.644309 | ||||||||
\(590\) | 3.26976 | − | 3.66058i | 0.134614 | − | 0.150704i | ||||
\(591\) | −0.737868 | + | 1.27802i | −0.0303518 | + | 0.0525709i | ||||
\(592\) | −30.7769 | − | 33.1074i | −1.26492 | − | 1.36071i | ||||
\(593\) | 9.46884 | − | 5.46684i | 0.388839 | − | 0.224496i | −0.292818 | − | 0.956168i | \(-0.594593\pi\) |
0.681657 | + | 0.731672i | \(0.261260\pi\) | |||||||
\(594\) | −7.74042 | − | 23.5043i | −0.317593 | − | 0.964394i | ||||
\(595\) | 1.34233 | − | 0.763699i | 0.0550303 | − | 0.0313086i | ||||
\(596\) | 2.65675 | − | 1.96269i | 0.108825 | − | 0.0803951i | ||||
\(597\) | −0.352969 | − | 0.611361i | −0.0144461 | − | 0.0250213i | ||||
\(598\) | −3.01079 | + | 14.4467i | −0.123120 | + | 0.590771i | ||||
\(599\) | −4.51466 | − | 2.60654i | −0.184464 | − | 0.106500i | 0.404924 | − | 0.914350i | \(-0.367298\pi\) |
−0.589388 | + | 0.807850i | \(0.700631\pi\) | |||||||
\(600\) | 2.53823 | + | 0.236220i | 0.103623 | + | 0.00964363i | ||||
\(601\) | 16.1103i | 0.657154i | 0.944477 | + | 0.328577i | \(0.106569\pi\) | ||||
−0.944477 | + | 0.328577i | \(0.893431\pi\) | |||||||
\(602\) | 4.56287 | − | 21.2202i | 0.185969 | − | 0.864869i | ||||
\(603\) | 21.5379i | 0.877090i | ||||||||
\(604\) | −5.87700 | + | 13.4875i | −0.239132 | + | 0.548797i | ||||
\(605\) | −2.60329 | − | 1.50301i | −0.105839 | − | 0.0611060i | ||||
\(606\) | 11.4103 | + | 2.37798i | 0.463512 | + | 0.0965989i | ||||
\(607\) | −4.82810 | − | 8.36252i | −0.195967 | − | 0.339424i | 0.751250 | − | 0.660017i | \(-0.229451\pi\) |
−0.947217 | + | 0.320593i | \(0.896118\pi\) | |||||||
\(608\) | 0.692317 | + | 34.8368i | 0.0280772 | + | 1.41282i | ||||
\(609\) | −0.00657809 | + | 1.03837i | −0.000266558 | + | 0.0420767i | ||||
\(610\) | 13.9532 | − | 4.59506i | 0.564949 | − | 0.186048i | ||||
\(611\) | 24.2609 | − | 14.0070i | 0.981491 | − | 0.566664i | ||||
\(612\) | 2.53781 | − | 0.287146i | 0.102585 | − | 0.0116072i | ||||
\(613\) | −3.92388 | + | 6.79635i | −0.158484 | + | 0.274502i | −0.934322 | − | 0.356430i | \(-0.883994\pi\) |
0.775838 | + | 0.630932i | \(0.217327\pi\) | |||||||
\(614\) | 10.9976 | + | 9.82343i | 0.443827 | + | 0.396441i | ||||
\(615\) | 6.62501 | 0.267146 | ||||||||
\(616\) | 16.3347 | − | 22.7490i | 0.658143 | − | 0.916582i | ||||
\(617\) | −28.8434 | −1.16119 | −0.580597 | − | 0.814191i | \(-0.697181\pi\) | ||||
−0.580597 | + | 0.814191i | \(0.697181\pi\) | |||||||
\(618\) | −9.72643 | − | 8.68797i | −0.391254 | − | 0.349481i | ||||
\(619\) | −1.24278 | + | 2.15256i | −0.0499517 | + | 0.0865189i | −0.889920 | − | 0.456116i | \(-0.849240\pi\) |
0.839968 | + | 0.542635i | \(0.182573\pi\) | |||||||
\(620\) | 5.04511 | − | 0.570840i | 0.202617 | − | 0.0229255i | ||||
\(621\) | −17.4604 | + | 10.0807i | −0.700660 | + | 0.404526i | ||||
\(622\) | −10.6465 | + | 3.50609i | −0.426885 | + | 0.140581i | ||||
\(623\) | −13.2134 | + | 22.5550i | −0.529383 | + | 0.903649i | ||||
\(624\) | 8.33885 | + | 2.56364i | 0.333821 | + | 0.102628i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 20.0286 | + | 4.17409i | 0.800504 | + | 0.166830i | ||||
\(627\) | 17.9927 | + | 10.3881i | 0.718558 | + | 0.414860i | ||||
\(628\) | 2.46269 | − | 5.65177i | 0.0982722 | − | 0.225530i | ||||
\(629\) | − | 6.59647i | − | 0.263019i | ||||||
\(630\) | −6.07015 | − | 5.49159i | −0.241841 | − | 0.218790i | ||||
\(631\) | 8.90728i | 0.354593i | 0.984157 | + | 0.177297i | \(0.0567352\pi\) | ||||
−0.984157 | + | 0.177297i | \(0.943265\pi\) | |||||||
\(632\) | 0.120314 | − | 1.29280i | 0.00478585 | − | 0.0514250i | ||||
\(633\) | 7.20066 | + | 4.15730i | 0.286200 | + | 0.165238i | ||||
\(634\) | 1.02055 | − | 4.89694i | 0.0405314 | − | 0.194482i | ||||
\(635\) | 2.45518 | + | 4.25250i | 0.0974309 | + | 0.168755i | ||||
\(636\) | 4.51609 | − | 3.33630i | 0.179075 | − | 0.132293i | ||||
\(637\) | −14.5614 | − | 8.65485i | −0.576944 | − | 0.342917i | ||||
\(638\) | 0.720911 | + | 2.18910i | 0.0285412 | + | 0.0866672i | ||||
\(639\) | −18.8848 | + | 10.9032i | −0.747073 | + | 0.431323i | ||||
\(640\) | 1.49512 | + | 11.2145i | 0.0590996 | + | 0.443291i | ||||
\(641\) | −7.31652 | + | 12.6726i | −0.288985 | + | 0.500537i | −0.973568 | − | 0.228398i | \(-0.926651\pi\) |
0.684583 | + | 0.728935i | \(0.259984\pi\) | |||||||
\(642\) | −5.37653 | + | 6.01917i | −0.212195 | + | 0.237558i | ||||
\(643\) | −24.2513 | −0.956380 | −0.478190 | − | 0.878256i | \(-0.658707\pi\) | ||||
−0.478190 | + | 0.878256i | \(0.658707\pi\) | |||||||
\(644\) | −20.8598 | − | 9.24707i | −0.821990 | − | 0.364386i | ||||
\(645\) | 5.22827 | 0.205863 | ||||||||
\(646\) | −3.38730 | + | 3.79218i | −0.133272 | + | 0.149201i | ||||
\(647\) | −14.9578 | + | 25.9077i | −0.588053 | + | 1.01854i | 0.406435 | + | 0.913680i | \(0.366772\pi\) |
−0.994487 | + | 0.104857i | \(0.966561\pi\) | |||||||
\(648\) | −2.77465 | − | 6.03722i | −0.108999 | − | 0.237164i | ||||
\(649\) | 11.2487 | − | 6.49444i | 0.441550 | − | 0.254929i | ||||
\(650\) | −1.07046 | − | 3.25054i | −0.0419870 | − | 0.127496i | ||||
\(651\) | 5.22326 | + | 3.05993i | 0.204716 | + | 0.119928i | ||||
\(652\) | 5.36935 | + | 7.26808i | 0.210280 | + | 0.284640i | ||||
\(653\) | 7.78155 | + | 13.4780i | 0.304516 | + | 0.527436i | 0.977153 | − | 0.212535i | \(-0.0681721\pi\) |
−0.672638 | + | 0.739972i | \(0.734839\pi\) | |||||||
\(654\) | 4.87863 | − | 23.4092i | 0.190770 | − | 0.915373i | ||||
\(655\) | 13.7477 | + | 7.93723i | 0.537167 | + | 0.310133i | ||||
\(656\) | 6.56957 | + | 28.6594i | 0.256498 | + | 1.11896i | ||||
\(657\) | 21.4371i | 0.836340i | ||||||||
\(658\) | 13.2879 | + | 41.2269i | 0.518016 | + | 1.60719i | ||||
\(659\) | − | 30.2702i | − | 1.17916i | −0.807710 | − | 0.589580i | \(-0.799293\pi\) | ||
0.807710 | − | 0.589580i | \(-0.200707\pi\) | |||||||
\(660\) | 6.18439 | + | 2.69478i | 0.240727 | + | 0.104894i | ||||
\(661\) | 15.5209 | + | 8.96099i | 0.603693 | + | 0.348542i | 0.770493 | − | 0.637449i | \(-0.220010\pi\) |
−0.166800 | + | 0.985991i | \(0.553344\pi\) | |||||||
\(662\) | −32.5761 | − | 6.78907i | −1.26611 | − | 0.263865i | ||||
\(663\) | 0.636547 | + | 1.10253i | 0.0247214 | + | 0.0428188i | ||||
\(664\) | 4.24714 | − | 5.99470i | 0.164821 | − | 0.232640i | ||||
\(665\) | 16.2963 | + | 0.103238i | 0.631944 | + | 0.00400339i | ||||
\(666\) | −33.2087 | + | 10.9363i | −1.28681 | + | 0.423772i | ||||
\(667\) | 1.62619 | − | 0.938880i | 0.0629662 | − | 0.0363536i | ||||
\(668\) | −3.80818 | − | 33.6569i | −0.147343 | − | 1.30222i | ||||
\(669\) | 10.9226 | − | 18.9185i | 0.422292 | − | 0.731432i | ||||
\(670\) | −10.3837 | − | 9.27506i | −0.401157 | − | 0.358327i | ||||
\(671\) | 38.8754 | 1.50077 | ||||||||
\(672\) | −6.58581 | + | 11.7721i | −0.254053 | + | 0.454119i | ||||
\(673\) | 21.1876 | 0.816723 | 0.408362 | − | 0.912820i | \(-0.366100\pi\) | ||||
0.408362 | + | 0.912820i | \(0.366100\pi\) | |||||||
\(674\) | 5.37966 | + | 4.80529i | 0.207217 | + | 0.185093i | ||||
\(675\) | 2.33778 | − | 4.04915i | 0.0899812 | − | 0.155852i | ||||
\(676\) | 1.60641 | + | 14.1975i | 0.0617850 | + | 0.546059i | ||||
\(677\) | −21.8732 | + | 12.6285i | −0.840657 | + | 0.485353i | −0.857487 | − | 0.514505i | \(-0.827976\pi\) |
0.0168308 | + | 0.999858i | \(0.494642\pi\) | |||||||
\(678\) | 5.05863 | − | 1.66590i | 0.194275 | − | 0.0639786i | ||||
\(679\) | −5.94041 | − | 10.4413i | −0.227972 | − | 0.400700i | ||||
\(680\) | −0.954444 | + | 1.34717i | −0.0366012 | + | 0.0516615i | ||||
\(681\) | −4.79140 | − | 8.29895i | −0.183607 | − | 0.318016i | ||||
\(682\) | 13.1536 | + | 2.74128i | 0.503676 | + | 0.104969i | ||||
\(683\) | 19.1391 | + | 11.0499i | 0.732336 | + | 0.422814i | 0.819276 | − | 0.573399i | \(-0.194376\pi\) |
−0.0869404 | + | 0.996214i | \(0.527709\pi\) | |||||||
\(684\) | 24.7068 | + | 10.7657i | 0.944689 | + | 0.411637i | ||||
\(685\) | 7.84221i | 0.299635i | ||||||||
\(686\) | 17.8162 | − | 19.1985i | 0.680225 | − | 0.733004i | ||||
\(687\) | 26.5993i | 1.01483i | ||||||||
\(688\) | 5.18452 | + | 22.6172i | 0.197658 | + | 0.862273i | ||||
\(689\) | −6.52791 | − | 3.76889i | −0.248694 | − | 0.143583i | ||||
\(690\) | 1.12135 | − | 5.38060i | 0.0426891 | − | 0.204836i | ||||
\(691\) | 9.05508 | + | 15.6839i | 0.344471 | + | 0.596642i | 0.985258 | − | 0.171077i | \(-0.0547248\pi\) |
−0.640786 | + | 0.767719i | \(0.721391\pi\) | |||||||
\(692\) | 0.157697 | + | 0.213462i | 0.00599473 | + | 0.00811461i | ||||
\(693\) | −10.7118 | − | 18.8279i | −0.406908 | − | 0.715212i | ||||
\(694\) | −0.737153 | − | 2.23841i | −0.0279819 | − | 0.0849691i | ||||
\(695\) | 15.0727 | − | 8.70222i | 0.571740 | − | 0.330094i | ||||
\(696\) | −0.463569 | − | 1.00865i | −0.0175715 | − | 0.0382330i | ||||
\(697\) | −2.14537 | + | 3.71588i | −0.0812615 | + | 0.140749i | ||||
\(698\) | −26.0098 | + | 29.1187i | −0.984486 | + | 1.10216i | ||||
\(699\) | −25.2991 | −0.956901 | ||||||||
\(700\) | 5.26162 | − | 0.561602i | 0.198870 | − | 0.0212265i | ||||
\(701\) | 14.4315 | 0.545070 | 0.272535 | − | 0.962146i | \(-0.412138\pi\) | ||||
0.272535 | + | 0.962146i | \(0.412138\pi\) | |||||||
\(702\) | 10.6594 | − | 11.9335i | 0.402313 | − | 0.450401i | ||||
\(703\) | 34.8038 | − | 60.2820i | 1.31265 | − | 2.27358i | ||||
\(704\) | −5.52481 | + | 29.4255i | −0.208224 | + | 1.10902i | ||||
\(705\) | −9.03582 | + | 5.21684i | −0.340309 | + | 0.196477i | ||||
\(706\) | 12.0134 | + | 36.4796i | 0.452131 | + | 1.37293i | ||||
\(707\) | 24.1934 | + | 0.153266i | 0.909885 | + | 0.00576416i | ||||
\(708\) | −5.03189 | + | 3.71735i | −0.189110 | + | 0.139706i | ||||
\(709\) | 18.5131 | + | 32.0657i | 0.695275 | + | 1.20425i | 0.970088 | + | 0.242753i | \(0.0780505\pi\) |
−0.274814 | + | 0.961498i | \(0.588616\pi\) | |||||||
\(710\) | 2.87600 | − | 13.8000i | 0.107934 | − | 0.517904i | ||||
\(711\) | −0.869718 | − | 0.502132i | −0.0326170 | − | 0.0188314i | ||||
\(712\) | 2.58953 | − | 27.8251i | 0.0970469 | − | 1.04279i | ||||
\(713\) | − | 10.9469i | − | 0.409965i | ||||||
\(714\) | −1.87355 | + | 0.603866i | −0.0701157 | + | 0.0225991i | ||||
\(715\) | − | 9.05640i | − | 0.338690i | ||||||
\(716\) | −12.8620 | + | 29.5176i | −0.480674 | + | 1.10312i | ||||
\(717\) | 10.6369 | + | 6.14124i | 0.397244 | + | 0.229349i | ||||
\(718\) | 23.1967 | + | 4.83433i | 0.865692 | + | 0.180416i | ||||
\(719\) | −10.0975 | − | 17.4894i | −0.376573 | − | 0.652243i | 0.613988 | − | 0.789315i | \(-0.289564\pi\) |
−0.990561 | + | 0.137072i | \(0.956231\pi\) | |||||||
\(720\) | 8.36443 | + | 2.57151i | 0.311724 | + | 0.0958345i | ||||
\(721\) | −23.3581 | − | 13.6838i | −0.869902 | − | 0.509613i | ||||
\(722\) | −25.4412 | + | 8.37828i | −0.946824 | + | 0.311807i | ||||
\(723\) | −3.28401 | + | 1.89602i | −0.122134 | + | 0.0705138i | ||||
\(724\) | 7.93570 | − | 0.897902i | 0.294928 | − | 0.0333703i | ||||
\(725\) | −0.217731 | + | 0.377122i | −0.00808634 | + | 0.0140060i | ||||
\(726\) | 2.85750 | + | 2.55242i | 0.106052 | + | 0.0947292i | ||||
\(727\) | 10.7925 | 0.400272 | 0.200136 | − | 0.979768i | \(-0.435862\pi\) | ||||
0.200136 | + | 0.979768i | \(0.435862\pi\) | |||||||
\(728\) | 18.0200 | + | 1.79224i | 0.667865 | + | 0.0664248i | ||||
\(729\) | 7.50278 | 0.277881 | ||||||||
\(730\) | −10.3351 | − | 9.23166i | −0.382519 | − | 0.341679i | ||||
\(731\) | −1.69306 | + | 2.93247i | −0.0626202 | + | 0.108461i | ||||
\(732\) | −18.6056 | + | 2.10517i | −0.687683 | + | 0.0778094i | ||||
\(733\) | 6.26329 | − | 3.61611i | 0.231340 | − | 0.133564i | −0.379850 | − | 0.925048i | \(-0.624024\pi\) |
0.611190 | + | 0.791484i | \(0.290691\pi\) | |||||||
\(734\) | 11.3427 | − | 3.73538i | 0.418668 | − | 0.137875i | ||||
\(735\) | 5.42330 | + | 3.22344i | 0.200042 | + | 0.118898i | ||||
\(736\) | 24.3881 | − | 0.484669i | 0.898958 | − | 0.0178651i | ||||
\(737\) | −18.4223 | − | 31.9083i | −0.678593 | − | 1.17536i | ||||
\(738\) | 22.2637 | + | 4.63990i | 0.819539 | + | 0.170797i | ||||
\(739\) | 1.71927 | + | 0.992622i | 0.0632444 | + | 0.0365142i | 0.531289 | − | 0.847191i | \(-0.321708\pi\) |
−0.468044 | + | 0.883705i | \(0.655041\pi\) | |||||||
\(740\) | 9.02848 | − | 20.7200i | 0.331893 | − | 0.761681i | ||||
\(741\) | 13.4340i | 0.493511i | ||||||||
\(742\) | 7.81909 | − | 8.64286i | 0.287048 | − | 0.317289i | ||||
\(743\) | 19.8225i | 0.727216i | 0.931552 | + | 0.363608i | \(0.118455\pi\) | ||||
−0.931552 | + | 0.363608i | \(0.881545\pi\) | |||||||
\(744\) | −6.44368 | − | 0.599680i | −0.236237 | − | 0.0219853i | ||||
\(745\) | 1.43029 | + | 0.825776i | 0.0524016 | + | 0.0302541i | ||||
\(746\) | −2.99416 | + | 14.3669i | −0.109624 | + | 0.526011i | ||||
\(747\) | −2.84124 | − | 4.92116i | −0.103955 | − | 0.180056i | ||||
\(748\) | −3.51414 | + | 2.59610i | −0.128490 | + | 0.0949228i | ||||
\(749\) | −8.46821 | + | 14.4551i | −0.309421 | + | 0.528178i | ||||
\(750\) | 0.398687 | + | 1.21064i | 0.0145580 | + | 0.0442064i | ||||
\(751\) | −20.8718 | + | 12.0504i | −0.761624 | + | 0.439724i | −0.829879 | − | 0.557944i | \(-0.811590\pi\) |
0.0682545 | + | 0.997668i | \(0.478257\pi\) | |||||||
\(752\) | −31.5279 | − | 33.9153i | −1.14971 | − | 1.23676i | ||||
\(753\) | −8.50921 | + | 14.7384i | −0.310093 | + | 0.537097i | ||||
\(754\) | −0.992774 | + | 1.11144i | −0.0361547 | + | 0.0404762i | ||||
\(755\) | −7.35613 | −0.267717 | ||||||||
\(756\) | 14.5745 | + | 19.9922i | 0.530070 | + | 0.727109i | ||||
\(757\) | 34.8711 | 1.26741 | 0.633706 | − | 0.773574i | \(-0.281533\pi\) | ||||
0.633706 | + | 0.773574i | \(0.281533\pi\) | |||||||
\(758\) | −11.1146 | + | 12.4431i | −0.403702 | + | 0.451955i | ||||
\(759\) | 7.27236 | − | 12.5961i | 0.263970 | − | 0.457209i | ||||
\(760\) | −15.8300 | + | 7.27534i | −0.574215 | + | 0.263904i | ||||
\(761\) | 7.76620 | − | 4.48382i | 0.281524 | − | 0.162538i | −0.352589 | − | 0.935778i | \(-0.614699\pi\) |
0.634113 | + | 0.773240i | \(0.281365\pi\) | |||||||
\(762\) | −1.95770 | − | 5.94469i | −0.0709200 | − | 0.215353i | ||||
\(763\) | 0.314438 | − | 49.6347i | 0.0113834 | − | 1.79690i | ||||
\(764\) | 23.8273 | + | 32.2533i | 0.862043 | + | 1.16688i | ||||
\(765\) | 0.638500 | + | 1.10591i | 0.0230850 | + | 0.0399844i | ||||
\(766\) | 0.276138 | − | 1.32500i | 0.00997727 | − | 0.0478741i | ||||
\(767\) | 7.27349 | + | 4.19935i | 0.262631 | + | 0.151630i | ||||
\(768\) | 1.05071 | − | 14.3821i | 0.0379141 | − | 0.518970i | ||||
\(769\) | 0.573577i | 0.0206837i | 0.999947 | + | 0.0103419i | \(0.00329197\pi\) | ||||
−0.999947 | + | 0.0103419i | \(0.996708\pi\) | |||||||
\(770\) | 13.6901 | + | 2.94372i | 0.493357 | + | 0.106084i | ||||
\(771\) | − | 23.2841i | − | 0.838556i | ||||||
\(772\) | −35.4584 | − | 15.4506i | −1.27617 | − | 0.556078i | ||||
\(773\) | −3.76591 | − | 2.17425i | −0.135450 | − | 0.0782023i | 0.430744 | − | 0.902474i | \(-0.358251\pi\) |
−0.566194 | + | 0.824272i | \(0.691585\pi\) | |||||||
\(774\) | 17.5699 | + | 3.66168i | 0.631537 | + | 0.131616i | ||||
\(775\) | 1.26933 | + | 2.19854i | 0.0455955 | + | 0.0789738i | ||||
\(776\) | 10.4789 | + | 7.42411i | 0.376170 | + | 0.266510i | ||||
\(777\) | 23.4220 | − | 13.3256i | 0.840259 | − | 0.478052i | ||||
\(778\) | 40.5179 | − | 13.3433i | 1.45264 | − | 0.478381i | ||||
\(779\) | −39.2109 | + | 22.6384i | −1.40488 | + | 0.811107i | ||||
\(780\) | 0.490420 | + | 4.33436i | 0.0175599 | + | 0.155195i | ||||
\(781\) | 18.6519 | − | 32.3060i | 0.667417 | − | 1.15600i | ||||
\(782\) | 2.65478 | + | 2.37134i | 0.0949348 | + | 0.0847990i | ||||
\(783\) | −2.03603 | −0.0727618 | ||||||||
\(784\) | −8.56651 | + | 26.6574i | −0.305947 | + | 0.952049i | ||||
\(785\) | 3.08251 | 0.110019 | ||||||||
\(786\) | −15.0902 | − | 13.4790i | −0.538249 | − | 0.480782i | ||||
\(787\) | −10.5248 | + | 18.2295i | −0.375168 | + | 0.649811i | −0.990352 | − | 0.138573i | \(-0.955748\pi\) |
0.615184 | + | 0.788384i | \(0.289082\pi\) | |||||||
\(788\) | −0.368181 | − | 3.25400i | −0.0131159 | − | 0.115919i | ||||
\(789\) | −8.34944 | + | 4.82055i | −0.297248 | + | 0.171616i | ||||
\(790\) | 0.616619 | − | 0.203065i | 0.0219383 | − | 0.00722471i | ||||
\(791\) | 9.60890 | − | 5.46683i | 0.341653 | − | 0.194378i | ||||
\(792\) | 18.8957 | + | 13.3873i | 0.671428 | + | 0.475695i | ||||
\(793\) | 12.5686 | + | 21.7694i | 0.446323 | + | 0.773054i | ||||
\(794\) | −8.59335 | − | 1.79091i | −0.304967 | − | 0.0635570i | ||||
\(795\) | 2.43128 | + | 1.40370i | 0.0862286 | + | 0.0497841i | ||||
\(796\) | 1.43611 | + | 0.625770i | 0.0509017 | + | 0.0221798i | ||||
\(797\) | 14.7349i | 0.521938i | 0.965347 | + | 0.260969i | \(0.0840420\pi\) | ||||
−0.965347 | + | 0.260969i | \(0.915958\pi\) | |||||||
\(798\) | −20.3075 | − | 4.36663i | −0.718879 | − | 0.154577i | ||||
\(799\) | − | 6.75744i | − | 0.239061i | ||||||
\(800\) | −4.84181 | + | 2.92521i | −0.171184 | + | 0.103422i | ||||
\(801\) | −18.7190 | − | 10.8074i | −0.661403 | − | 0.381861i | ||||
\(802\) | 7.59213 | − | 36.4295i | 0.268087 | − | 1.28637i | ||||
\(803\) | −18.3360 | − | 31.7590i | −0.647065 | − | 1.12075i | ||||
\(804\) | 10.5447 | + | 14.2736i | 0.371883 | + | 0.503390i | ||||
\(805\) | 0.0722735 | − | 11.4085i | 0.00254731 | − | 0.402097i | ||||
\(806\) | 2.71753 | + | 8.25198i | 0.0957210 | + | 0.290663i | ||||
\(807\) | −6.52923 | + | 3.76965i | −0.229840 | + | 0.132698i | ||||
\(808\) | −23.5011 | + | 10.8009i | −0.826767 | + | 0.379975i | ||||
\(809\) | 7.23808 | − | 12.5367i | 0.254477 | − | 0.440768i | −0.710276 | − | 0.703923i | \(-0.751430\pi\) |
0.964753 | + | 0.263156i | \(0.0847632\pi\) | |||||||
\(810\) | 2.21312 | − | 2.47765i | 0.0777613 | − | 0.0870559i | ||||
\(811\) | −18.5825 | −0.652521 | −0.326260 | − | 0.945280i | \(-0.605789\pi\) | ||||
−0.326260 | + | 0.945280i | \(0.605789\pi\) | |||||||
\(812\) | −1.35741 | − | 1.86199i | −0.0476358 | − | 0.0653431i | ||||
\(813\) | 24.4348 | 0.856967 | ||||||||
\(814\) | 39.8444 | − | 44.6069i | 1.39654 | − | 1.56347i | ||||
\(815\) | −2.25908 | + | 3.91284i | −0.0791321 | + | 0.137061i | ||||
\(816\) | 1.54127 | − | 1.43278i | 0.0539553 | − | 0.0501573i | ||||
\(817\) | −30.9442 | + | 17.8656i | −1.08260 | + | 0.625040i | ||||
\(818\) | −8.14069 | − | 24.7198i | −0.284633 | − | 0.864306i | ||||
\(819\) | 7.08003 | − | 12.0855i | 0.247396 | − | 0.422302i | ||||
\(820\) | −11.8246 | + | 8.73551i | −0.412933 | + | 0.305057i | ||||
\(821\) | 8.20275 | + | 14.2076i | 0.286278 | + | 0.495848i | 0.972918 | − | 0.231149i | \(-0.0742486\pi\) |
−0.686640 | + | 0.726997i | \(0.740915\pi\) | |||||||
\(822\) | 2.03934 | − | 9.78542i | 0.0711303 | − | 0.341306i | ||||
\(823\) | −38.0161 | − | 21.9486i | −1.32516 | − | 0.765081i | −0.340612 | − | 0.940204i | \(-0.610634\pi\) |
−0.984547 | + | 0.175123i | \(0.943968\pi\) | |||||||
\(824\) | 28.8158 | + | 2.68173i | 1.00385 | + | 0.0934226i | ||||
\(825\) | 3.37300i | 0.117433i | ||||||||
\(826\) | −8.71214 | + | 9.63000i | −0.303134 | + | 0.335070i | ||||
\(827\) | − | 8.10796i | − | 0.281941i | −0.990014 | − | 0.140971i | \(-0.954978\pi\) | ||
0.990014 | − | 0.140971i | \(-0.0450224\pi\) | |||||||
\(828\) | 7.53673 | − | 17.2964i | 0.261919 | − | 0.601093i | ||||
\(829\) | −36.5657 | − | 21.1112i | −1.26998 | − | 0.733223i | −0.294995 | − | 0.955499i | \(-0.595318\pi\) |
−0.974984 | + | 0.222276i | \(0.928651\pi\) | |||||||
\(830\) | 3.59611 | + | 0.749452i | 0.124823 | + | 0.0260138i | ||||
\(831\) | 1.51407 | + | 2.62245i | 0.0525225 | + | 0.0909716i | ||||
\(832\) | −18.2639 | + | 6.41961i | −0.633185 | + | 0.222560i | ||||
\(833\) | −3.56421 | + | 1.99802i | −0.123492 | + | 0.0692273i | ||||
\(834\) | −21.0705 | + | 6.93893i | −0.729613 | + | 0.240275i | ||||
\(835\) | 14.6668 | − | 8.46791i | 0.507567 | − | 0.293044i | ||||
\(836\) | −45.8114 | + | 5.18343i | −1.58442 | + | 0.179273i | ||||
\(837\) | −5.93481 | + | 10.2794i | −0.205137 | + | 0.355308i | ||||
\(838\) | 37.1710 | + | 33.2024i | 1.28405 | + | 1.14696i | ||||
\(839\) | −31.8404 | −1.09925 | −0.549627 | − | 0.835410i | \(-0.685230\pi\) | ||||
−0.549627 | + | 0.835410i | \(0.685230\pi\) | |||||||
\(840\) | −6.71143 | − | 0.667509i | −0.231566 | − | 0.0230312i | ||||
\(841\) | −28.8104 | −0.993461 | ||||||||
\(842\) | −16.5242 | − | 14.7599i | −0.569460 | − | 0.508661i | ||||
\(843\) | −3.30745 | + | 5.72868i | −0.113915 | + | 0.197306i | ||||
\(844\) | −18.3337 | + | 2.07441i | −0.631072 | + | 0.0714040i | ||||
\(845\) | −6.18694 | + | 3.57203i | −0.212837 | + | 0.122882i | ||||
\(846\) | −34.0191 | + | 11.2031i | −1.16960 | + | 0.385171i | ||||
\(847\) | 6.86233 | + | 4.02014i | 0.235792 | + | 0.138134i | ||||
\(848\) | −3.66139 | + | 11.9095i | −0.125733 | + | 0.408975i | ||||
\(849\) | 3.24714 | + | 5.62422i | 0.111442 | + | 0.193023i | ||||
\(850\) | −0.808139 | − | 0.168421i | −0.0277190 | − | 0.00577681i | ||||
\(851\) | −42.2015 | − | 24.3650i | −1.44665 | − | 0.835223i | ||||
\(852\) | −7.17729 | + | 16.4716i | −0.245890 | + | 0.564306i | ||||
\(853\) | − | 16.2023i | − | 0.554755i | −0.960761 | − | 0.277378i | \(-0.910535\pi\) | ||
0.960761 | − | 0.277378i | \(-0.0894653\pi\) | |||||||
\(854\) | −36.9930 | + | 11.9233i | −1.26587 | + | 0.408006i | ||||
\(855\) | 13.4752i | 0.460843i | ||||||||
\(856\) | 1.65958 | − | 17.8326i | 0.0567234 | − | 0.609505i | ||||
\(857\) | 35.4659 | + | 20.4762i | 1.21149 | + | 0.699455i | 0.963084 | − | 0.269201i | \(-0.0867596\pi\) |
0.248407 | + | 0.968656i | \(0.420093\pi\) | |||||||
\(858\) | −2.35509 | + | 11.3005i | −0.0804015 | + | 0.385792i | ||||
\(859\) | −6.02640 | − | 10.4380i | −0.205618 | − | 0.356141i | 0.744711 | − | 0.667387i | \(-0.232587\pi\) |
−0.950329 | + | 0.311246i | \(0.899254\pi\) | |||||||
\(860\) | −9.33165 | + | 6.89382i | −0.318206 | + | 0.235077i | ||||
\(861\) | −17.5278 | − | 0.111039i | −0.597345 | − | 0.00378421i | ||||
\(862\) | −0.887107 | − | 2.69376i | −0.0302150 | − | 0.0917499i | ||||
\(863\) | −0.494372 | + | 0.285426i | −0.0168286 | + | 0.00971602i | −0.508391 | − | 0.861127i | \(-0.669759\pi\) |
0.491562 | + | 0.870843i | \(0.336426\pi\) | |||||||
\(864\) | −23.1637 | − | 12.7668i | −0.788045 | − | 0.434334i | ||||
\(865\) | −0.0663486 | + | 0.114919i | −0.00225592 | + | 0.00390737i | ||||
\(866\) | 12.8106 | − | 14.3418i | 0.435323 | − | 0.487356i | ||||
\(867\) | −15.0146 | −0.509924 | ||||||||
\(868\) | −13.3574 | + | 1.42571i | −0.453380 | + | 0.0483918i | ||||
\(869\) | 1.71798 | 0.0582784 | ||||||||
\(870\) | 0.369753 | − | 0.413948i | 0.0125358 | − | 0.0140342i | ||||
\(871\) | 11.9120 | − | 20.6321i | 0.403622 | − | 0.699093i | ||||
\(872\) | 22.1590 | + | 48.2146i | 0.750398 | + | 1.63275i | ||||
\(873\) | 8.60232 | − | 4.96655i | 0.291144 | − | 0.168092i | ||||
\(874\) | 11.7493 | + | 35.6775i | 0.397426 | + | 1.20681i | ||||
\(875\) | 1.30833 | + | 2.29962i | 0.0442298 | + | 0.0777414i | ||||
\(876\) | 10.4954 | + | 14.2068i | 0.354605 | + | 0.480003i | ||||
\(877\) | −9.47193 | − | 16.4059i | −0.319844 | − | 0.553987i | 0.660611 | − | 0.750728i | \(-0.270297\pi\) |
−0.980455 | + | 0.196742i | \(0.936964\pi\) | |||||||
\(878\) | 8.38165 | − | 40.2178i | 0.282867 | − | 1.35729i | ||||
\(879\) | −6.61794 | − | 3.82087i | −0.223218 | − | 0.128875i | ||||
\(880\) | −14.5914 | + | 3.34477i | −0.491876 | + | 0.112752i | ||||
\(881\) | − | 35.7695i | − | 1.20511i | −0.798079 | − | 0.602553i | \(-0.794150\pi\) | ||
0.798079 | − | 0.602553i | \(-0.205850\pi\) | |||||||
\(882\) | 15.9677 | + | 14.6308i | 0.537662 | + | 0.492646i | ||||
\(883\) | 25.4594i | 0.856776i | 0.903595 | + | 0.428388i | \(0.140918\pi\) | ||||
−0.903595 | + | 0.428388i | \(0.859082\pi\) | |||||||
\(884\) | −2.58990 | − | 1.12852i | −0.0871076 | − | 0.0379561i | ||||
\(885\) | −2.70897 | − | 1.56402i | −0.0910609 | − | 0.0525740i | ||||
\(886\) | 20.2639 | + | 4.22313i | 0.680779 | + | 0.141879i | ||||
\(887\) | −5.30243 | − | 9.18408i | −0.178038 | − | 0.308371i | 0.763170 | − | 0.646197i | \(-0.223642\pi\) |
−0.941209 | + | 0.337826i | \(0.890308\pi\) | |||||||
\(888\) | −16.6538 | + | 23.5063i | −0.558865 | + | 0.788821i | ||||
\(889\) | −6.42439 | − | 11.2920i | −0.215467 | − | 0.378721i | ||||
\(890\) | 13.2715 | − | 4.37057i | 0.444863 | − | 0.146502i | ||||
\(891\) | 7.61364 | − | 4.39574i | 0.255067 | − | 0.147263i | ||||
\(892\) | 5.45015 | + | 48.1687i | 0.182485 | + | 1.61281i | ||||
\(893\) | 35.6531 | − | 61.7530i | 1.19309 | − | 2.06648i | ||||
\(894\) | −1.56996 | − | 1.40234i | −0.0525072 | − | 0.0469012i | ||||
\(895\) | −16.0991 | −0.538132 | ||||||||
\(896\) | −3.76766 | − | 29.6952i | −0.125869 | − | 0.992047i | ||||
\(897\) | 9.40472 | 0.314014 | ||||||||
\(898\) | −28.5511 | − | 25.5028i | −0.952763 | − | 0.851040i | ||||
\(899\) | 0.552744 | − | 0.957381i | 0.0184350 | − | 0.0319304i | ||||
\(900\) | 0.491925 | + | 4.34765i | 0.0163975 | + | 0.144922i | ||||
\(901\) | −1.57463 | + | 0.909116i | −0.0524587 | + | 0.0302870i | ||||
\(902\) | −36.9523 | + | 12.1691i | −1.23038 | + | 0.405187i | ||||
\(903\) | −13.8324 | − | 0.0876291i | −0.460315 | − | 0.00291611i | ||||
\(904\) | −6.83225 | + | 9.64350i | −0.227237 | + | 0.320738i | ||||
\(905\) | 1.99658 | + | 3.45818i | 0.0663687 | + | 0.114954i | ||||
\(906\) | 9.17891 | + | 1.91294i | 0.304949 | + | 0.0635533i | ||||
\(907\) | 13.3054 | + | 7.68190i | 0.441800 | + | 0.255073i | 0.704361 | − | 0.709842i | \(-0.251234\pi\) |
−0.262561 | + | 0.964915i | \(0.584567\pi\) | |||||||
\(908\) | 19.4946 | + | 8.49454i | 0.646951 | + | 0.281901i | ||||
\(909\) | 20.0052i | 0.663531i | ||||||||
\(910\) | 2.77764 | + | 8.61788i | 0.0920779 | + | 0.285680i | ||||
\(911\) | 22.0734i | 0.731324i | 0.930748 | + | 0.365662i | \(0.119157\pi\) | ||||
−0.930748 | + | 0.365662i | \(0.880843\pi\) | |||||||
\(912\) | 21.6445 | − | 4.96154i | 0.716720 | − | 0.164293i | ||||
\(913\) | 8.41856 | + | 4.86046i | 0.278614 | + | 0.160858i | ||||
\(914\) | −2.19461 | + | 10.5304i | −0.0725911 | + | 0.348315i | ||||
\(915\) | −4.68108 | − | 8.10787i | −0.154752 | − | 0.268038i | ||||
\(916\) | −35.0729 | − | 47.4755i | −1.15884 | − | 1.56864i | ||||
\(917\) | −36.2392 | − | 21.2299i | −1.19672 | − | 0.701074i | ||||
\(918\) | −1.20729 | − | 3.66601i | −0.0398464 | − | 0.120996i | ||||
\(919\) | 45.1598 | − | 26.0730i | 1.48968 | − | 0.860069i | 0.489753 | − | 0.871861i | \(-0.337087\pi\) |
0.999930 | + | 0.0117923i | \(0.00375369\pi\) | |||||||
\(920\) | 5.09323 | + | 11.0821i | 0.167919 | + | 0.365366i | ||||
\(921\) | 4.69884 | − | 8.13863i | 0.154832 | − | 0.268177i | ||||
\(922\) | 12.0546 | − | 13.4954i | 0.396996 | − | 0.444448i | ||||
\(923\) | 24.1209 | 0.793949 | ||||||||
\(924\) | −16.3169 | − | 7.23322i | −0.536785 | − | 0.237955i | ||||
\(925\) | 11.3008 | 0.371567 | ||||||||
\(926\) | 26.3016 | − | 29.4454i | 0.864323 | − | 0.967634i | ||||
\(927\) | 11.1922 | − | 19.3855i | 0.367600 | − | 0.636702i | ||||
\(928\) | 2.15737 | + | 1.18904i | 0.0708193 | + | 0.0390323i | ||||
\(929\) | 24.8707 | − | 14.3591i | 0.815982 | − | 0.471107i | −0.0330469 | − | 0.999454i | \(-0.510521\pi\) |
0.849029 | + | 0.528346i | \(0.177188\pi\) | |||||||
\(930\) | −1.01213 | − | 3.07340i | −0.0331890 | − | 0.100781i | ||||
\(931\) | −43.1134 | − | 0.546272i | −1.41298 | − | 0.0179033i | ||||
\(932\) | 45.1549 | − | 33.3585i | 1.47910 | − | 1.09270i | ||||
\(933\) | 3.57173 | + | 6.18641i | 0.116933 | + | 0.202534i | ||||
\(934\) | −6.52394 | + | 31.3039i | −0.213470 | + | 1.02430i | ||||
\(935\) | −1.89187 | − | 1.09227i | −0.0618708 | − | 0.0357211i | ||||
\(936\) | −1.38753 | + | 14.9093i | −0.0453529 | + | 0.487326i | ||||
\(937\) | 44.9045i | 1.46697i | 0.679707 | + | 0.733484i | \(0.262107\pi\) | ||||
−0.679707 | + | 0.733484i | \(0.737893\pi\) | |||||||
\(938\) | 27.3167 | + | 24.7131i | 0.891921 | + | 0.806910i | ||||
\(939\) | − | 13.0385i | − | 0.425495i | ||||||
\(940\) | 9.24879 | − | 21.2256i | 0.301662 | − | 0.692301i | ||||
\(941\) | 15.3727 | + | 8.87541i | 0.501134 | + | 0.289330i | 0.729182 | − | 0.684320i | \(-0.239901\pi\) |
−0.228048 | + | 0.973650i | \(0.573234\pi\) | |||||||
\(942\) | −3.84632 | − | 0.801598i | −0.125320 | − | 0.0261175i | ||||
\(943\) | 15.8484 | + | 27.4503i | 0.516096 | + | 0.893905i | ||||
\(944\) | 4.07957 | − | 13.2698i | 0.132779 | − | 0.431894i | ||||
\(945\) | −6.25292 | + | 10.6737i | −0.203408 | + | 0.347214i | ||||
\(946\) | −29.1618 | + | 9.60352i | −0.948130 | + | 0.312237i | ||||
\(947\) | 32.1100 | − | 18.5387i | 1.04344 | − | 0.602428i | 0.122631 | − | 0.992452i | \(-0.460867\pi\) |
0.920804 | + | 0.390025i | \(0.127533\pi\) | |||||||
\(948\) | −0.822218 | + | 0.0930316i | −0.0267044 | + | 0.00302153i | ||||
\(949\) | 11.8562 | − | 20.5356i | 0.384869 | − | 0.666613i | ||||
\(950\) | −6.49659 | − | 5.80297i | −0.210777 | − | 0.188273i | ||||
\(951\) | −3.18787 | −0.103374 | ||||||||
\(952\) | 2.54775 | − | 3.54820i | 0.0825730 | − | 0.114998i | ||||
\(953\) | −28.5420 | −0.924567 | −0.462283 | − | 0.886732i | \(-0.652970\pi\) | ||||
−0.462283 | + | 0.886732i | \(0.652970\pi\) | |||||||
\(954\) | 7.18736 | + | 6.41999i | 0.232699 | + | 0.207855i | ||||
\(955\) | −10.0250 | + | 17.3638i | −0.324402 | + | 0.561881i | ||||
\(956\) | −27.0829 | + | 3.06435i | −0.875923 | + | 0.0991082i | ||||
\(957\) | 1.27203 | − | 0.734408i | 0.0411189 | − | 0.0237400i | ||||
\(958\) | 29.5266 | − | 9.72368i | 0.953962 | − | 0.314158i | ||||
\(959\) | 0.131440 | − | 20.7481i | 0.00424442 | − | 0.669991i | ||||
\(960\) | 6.80226 | − | 2.39094i | 0.219542 | − | 0.0771674i | ||||
\(961\) | 12.2776 | + | 21.2655i | 0.396052 | + | 0.685983i | ||||
\(962\) | 37.8607 | + | 7.89042i | 1.22068 | + | 0.254397i | ||||
\(963\) | −11.9966 | − | 6.92626i | −0.386586 | − | 0.223196i | ||||
\(964\) | 3.36141 | − | 7.71428i | 0.108264 | − | 0.248460i | ||||
\(965\) | − | 19.3392i | − | 0.622550i | ||||||
\(966\) | −3.05694 | + | 14.2166i | −0.0983554 | + | 0.457413i | ||||
\(967\) | 5.33936i | 0.171702i | 0.996308 | + | 0.0858510i | \(0.0273609\pi\) | ||||
−0.996308 | + | 0.0858510i | \(0.972639\pi\) | |||||||
\(968\) | −8.46573 | − | 0.787860i | −0.272099 | − | 0.0253228i | ||||
\(969\) | 2.80635 | + | 1.62025i | 0.0901530 | + | 0.0520498i | ||||
\(970\) | −1.31006 | + | 6.28608i | −0.0420635 | + | 0.201834i | ||||
\(971\) | −5.49906 | − | 9.52465i | −0.176473 | − | 0.305660i | 0.764197 | − | 0.644983i | \(-0.223136\pi\) |
−0.940670 | + | 0.339323i | \(0.889802\pi\) | |||||||
\(972\) | −25.9697 | + | 19.1853i | −0.832978 | + | 0.615368i | ||||
\(973\) | −40.0236 | + | 22.7708i | −1.28310 | + | 0.729999i | ||||
\(974\) | −11.2283 | − | 34.0955i | −0.359778 | − | 1.09249i | ||||
\(975\) | −1.88881 | + | 1.09050i | −0.0604902 | + | 0.0349241i | ||||
\(976\) | 30.4323 | − | 28.2901i | 0.974113 | − | 0.905544i | ||||
\(977\) | 15.7434 | − | 27.2684i | 0.503676 | − | 0.872392i | −0.496315 | − | 0.868142i | \(-0.665314\pi\) |
0.999991 | − | 0.00424979i | \(-0.00135275\pi\) | |||||||
\(978\) | 3.83638 | − | 4.29493i | 0.122674 | − | 0.137337i | ||||
\(979\) | 36.9761 | 1.18176 | ||||||||
\(980\) | −13.9301 | + | 1.39764i | −0.444979 | + | 0.0446460i | ||||
\(981\) | 41.0424 | 1.31038 | ||||||||
\(982\) | 34.3526 | − | 38.4587i | 1.09624 | − | 1.22727i | ||||
\(983\) | −17.2762 | + | 29.9232i | −0.551025 | + | 0.954402i | 0.447176 | + | 0.894446i | \(0.352430\pi\) |
−0.998201 | + | 0.0599567i | \(0.980904\pi\) | |||||||
\(984\) | 17.0263 | − | 7.82512i | 0.542777 | − | 0.249456i | ||||
\(985\) | 1.41801 | − | 0.818690i | 0.0451817 | − | 0.0260856i | ||||
\(986\) | 0.112442 | + | 0.341438i | 0.00358088 | + | 0.0108736i | ||||
\(987\) | 23.9935 | − | 13.6507i | 0.763722 | − | 0.434507i | ||||
\(988\) | −17.7136 | − | 23.9776i | −0.563545 | − | 0.762829i | ||||
\(989\) | 12.5072 | + | 21.6630i | 0.397704 | + | 0.688844i | ||||
\(990\) | −2.36232 | + | 11.3352i | −0.0750794 | + | 0.360255i | ||||
\(991\) | 47.8668 | + | 27.6359i | 1.52054 | + | 0.877884i | 0.999707 | + | 0.0242247i | \(0.00771173\pi\) |
0.520833 | + | 0.853659i | \(0.325622\pi\) | |||||||
\(992\) | 12.2917 | − | 7.42608i | 0.390261 | − | 0.235778i | ||||
\(993\) | 21.2068i | 0.672978i | ||||||||
\(994\) | −7.84033 | + | 36.4623i | −0.248680 | + | 1.15652i | ||||
\(995\) | 0.783264i | 0.0248311i | ||||||||
\(996\) | −4.29229 | − | 1.87032i | −0.136007 | − | 0.0592632i | ||||
\(997\) | 13.2344 | + | 7.64087i | 0.419137 | + | 0.241989i | 0.694708 | − | 0.719292i | \(-0.255534\pi\) |
−0.275571 | + | 0.961281i | \(0.588867\pi\) | |||||||
\(998\) | −16.4459 | − | 3.42744i | −0.520587 | − | 0.108494i | ||||
\(999\) | 26.4187 | + | 45.7586i | 0.835851 | + | 1.44774i |
(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 | 140.2.o.a.31.13 | yes | 32 | |
4.3 | odd | 2 | inner | 140.2.o.a.31.9 | ✓ | 32 | |
5.2 | odd | 4 | 700.2.t.c.199.6 | 32 | |||
5.3 | odd | 4 | 700.2.t.d.199.11 | 32 | |||
5.4 | even | 2 | 700.2.p.c.451.4 | 32 | |||
7.2 | even | 3 | 980.2.o.f.411.9 | 32 | |||
7.3 | odd | 6 | 980.2.g.a.391.8 | 32 | |||
7.4 | even | 3 | 980.2.g.a.391.7 | 32 | |||
7.5 | odd | 6 | inner | 140.2.o.a.131.9 | yes | 32 | |
7.6 | odd | 2 | 980.2.o.f.31.13 | 32 | |||
20.3 | even | 4 | 700.2.t.d.199.16 | 32 | |||
20.7 | even | 4 | 700.2.t.c.199.1 | 32 | |||
20.19 | odd | 2 | 700.2.p.c.451.8 | 32 | |||
28.3 | even | 6 | 980.2.g.a.391.5 | 32 | |||
28.11 | odd | 6 | 980.2.g.a.391.6 | 32 | |||
28.19 | even | 6 | inner | 140.2.o.a.131.13 | yes | 32 | |
28.23 | odd | 6 | 980.2.o.f.411.13 | 32 | |||
28.27 | even | 2 | 980.2.o.f.31.9 | 32 | |||
35.12 | even | 12 | 700.2.t.d.299.16 | 32 | |||
35.19 | odd | 6 | 700.2.p.c.551.8 | 32 | |||
35.33 | even | 12 | 700.2.t.c.299.1 | 32 | |||
140.19 | even | 6 | 700.2.p.c.551.4 | 32 | |||
140.47 | odd | 12 | 700.2.t.d.299.11 | 32 | |||
140.103 | odd | 12 | 700.2.t.c.299.6 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
140.2.o.a.31.9 | ✓ | 32 | 4.3 | odd | 2 | inner | |
140.2.o.a.31.13 | yes | 32 | 1.1 | even | 1 | trivial | |
140.2.o.a.131.9 | yes | 32 | 7.5 | odd | 6 | inner | |
140.2.o.a.131.13 | yes | 32 | 28.19 | even | 6 | inner | |
700.2.p.c.451.4 | 32 | 5.4 | even | 2 | |||
700.2.p.c.451.8 | 32 | 20.19 | odd | 2 | |||
700.2.p.c.551.4 | 32 | 140.19 | even | 6 | |||
700.2.p.c.551.8 | 32 | 35.19 | odd | 6 | |||
700.2.t.c.199.1 | 32 | 20.7 | even | 4 | |||
700.2.t.c.199.6 | 32 | 5.2 | odd | 4 | |||
700.2.t.c.299.1 | 32 | 35.33 | even | 12 | |||
700.2.t.c.299.6 | 32 | 140.103 | odd | 12 | |||
700.2.t.d.199.11 | 32 | 5.3 | odd | 4 | |||
700.2.t.d.199.16 | 32 | 20.3 | even | 4 | |||
700.2.t.d.299.11 | 32 | 140.47 | odd | 12 | |||
700.2.t.d.299.16 | 32 | 35.12 | even | 12 | |||
980.2.g.a.391.5 | 32 | 28.3 | even | 6 | |||
980.2.g.a.391.6 | 32 | 28.11 | odd | 6 | |||
980.2.g.a.391.7 | 32 | 7.4 | even | 3 | |||
980.2.g.a.391.8 | 32 | 7.3 | odd | 6 | |||
980.2.o.f.31.9 | 32 | 28.27 | even | 2 | |||
980.2.o.f.31.13 | 32 | 7.6 | odd | 2 | |||
980.2.o.f.411.9 | 32 | 7.2 | even | 3 | |||
980.2.o.f.411.13 | 32 | 28.23 | odd | 6 |