Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [78,2,Mod(11,78)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(78, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("78.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 78 = 2 \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 78.k (of order \(12\), 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: | \(0.622833135766\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 16.0.9349208943630483456.9 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Root | \(0.500000 + 2.74530i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.11 |
Dual form | 78.2.k.a.71.4 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | + | 0.258819i | 0.683013 | + | 0.183013i | ||||
\(3\) | 0.933998 | − | 1.45865i | 0.539244 | − | 0.842150i | ||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | −2.76293 | + | 2.76293i | −1.23562 | + | 1.23562i | −0.273849 | + | 0.961773i | \(0.588297\pi\) |
−0.961773 | + | 0.273849i | \(0.911703\pi\) | |||||||
\(6\) | 1.27970 | − | 1.16721i | 0.522435 | − | 0.476510i | ||||
\(7\) | −0.657464 | − | 2.45369i | −0.248498 | − | 0.927407i | −0.971593 | − | 0.236659i | \(-0.923948\pi\) |
0.723095 | − | 0.690749i | \(-0.242719\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.25529 | − | 2.72474i | −0.418432 | − | 0.908248i | ||||
\(10\) | −3.38389 | + | 1.95369i | −1.07008 | + | 0.617811i | ||||
\(11\) | −0.150860 | + | 0.563016i | −0.0454859 | + | 0.169756i | −0.984932 | − | 0.172940i | \(-0.944673\pi\) |
0.939446 | + | 0.342696i | \(0.111340\pi\) | |||||||
\(12\) | 1.53819 | − | 0.796225i | 0.444037 | − | 0.229850i | ||||
\(13\) | −1.20856 | + | 3.39697i | −0.335195 | + | 0.942149i | ||||
\(14\) | − | 2.54025i | − | 0.678909i | ||||||
\(15\) | 1.44957 | + | 6.61072i | 0.374277 | + | 1.70688i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | 0.547000 | − | 0.947432i | 0.132667 | − | 0.229786i | −0.792037 | − | 0.610473i | \(-0.790979\pi\) |
0.924704 | + | 0.380687i | \(0.124313\pi\) | |||||||
\(18\) | −0.507306 | − | 2.95680i | −0.119573 | − | 0.696923i | ||||
\(19\) | 1.32717 | − | 0.355613i | 0.304473 | − | 0.0815832i | −0.103348 | − | 0.994645i | \(-0.532956\pi\) |
0.407821 | + | 0.913062i | \(0.366289\pi\) | |||||||
\(20\) | −3.77424 | + | 1.01130i | −0.843945 | + | 0.226134i | ||||
\(21\) | −4.19313 | − | 1.33273i | −0.915017 | − | 0.290826i | ||||
\(22\) | −0.291439 | + | 0.504787i | −0.0621349 | + | 0.107621i | ||||
\(23\) | −0.876460 | − | 1.51807i | −0.182755 | − | 0.316540i | 0.760063 | − | 0.649849i | \(-0.225168\pi\) |
−0.942818 | + | 0.333309i | \(0.891835\pi\) | |||||||
\(24\) | 1.69185 | − | 0.370982i | 0.345348 | − | 0.0757264i | ||||
\(25\) | − | 10.2676i | − | 2.05352i | ||||||
\(26\) | −2.04658 | + | 2.96842i | −0.401367 | + | 0.582155i | ||||
\(27\) | −5.14688 | − | 0.713876i | −0.990518 | − | 0.137386i | ||||
\(28\) | 0.657464 | − | 2.45369i | 0.124249 | − | 0.463704i | ||||
\(29\) | 5.12973 | − | 2.96165i | 0.952566 | − | 0.549965i | 0.0586892 | − | 0.998276i | \(-0.481308\pi\) |
0.893877 | + | 0.448312i | \(0.147975\pi\) | |||||||
\(30\) | −0.310806 | + | 6.76064i | −0.0567451 | + | 1.23432i | ||||
\(31\) | 6.49983 | + | 6.49983i | 1.16740 | + | 1.16740i | 0.982816 | + | 0.184588i | \(0.0590950\pi\) |
0.184588 | + | 0.982816i | \(0.440905\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | 0.680339 | + | 0.745907i | 0.118432 | + | 0.129846i | ||||
\(34\) | 0.773575 | − | 0.773575i | 0.132667 | − | 0.132667i | ||||
\(35\) | 8.59591 | + | 4.96285i | 1.45297 | + | 0.838875i | ||||
\(36\) | 0.275255 | − | 2.98735i | 0.0458759 | − | 0.497891i | ||||
\(37\) | −2.98942 | − | 0.801012i | −0.491457 | − | 0.131686i | 0.00457534 | − | 0.999990i | \(-0.498544\pi\) |
−0.496032 | + | 0.868304i | \(0.665210\pi\) | |||||||
\(38\) | 1.37398 | 0.222890 | ||||||||
\(39\) | 3.82618 | + | 4.93562i | 0.612679 | + | 0.790332i | ||||
\(40\) | −3.90738 | −0.617811 | ||||||||
\(41\) | −5.11781 | − | 1.37131i | −0.799268 | − | 0.214163i | −0.164005 | − | 0.986459i | \(-0.552441\pi\) |
−0.635262 | + | 0.772296i | \(0.719108\pi\) | |||||||
\(42\) | −3.70532 | − | 2.37259i | −0.571743 | − | 0.366098i | ||||
\(43\) | 3.26299 | + | 1.88389i | 0.497602 | + | 0.287290i | 0.727723 | − | 0.685872i | \(-0.240579\pi\) |
−0.230121 | + | 0.973162i | \(0.573912\pi\) | |||||||
\(44\) | −0.412157 | + | 0.412157i | −0.0621349 | + | 0.0621349i | ||||
\(45\) | 10.9966 | + | 4.05999i | 1.63927 | + | 0.605228i | ||||
\(46\) | −0.453689 | − | 1.69319i | −0.0668928 | − | 0.249647i | ||||
\(47\) | −5.51114 | − | 5.51114i | −0.803883 | − | 0.803883i | 0.179817 | − | 0.983700i | \(-0.442449\pi\) |
−0.983700 | + | 0.179817i | \(0.942449\pi\) | |||||||
\(48\) | 1.73022 | + | 0.0795432i | 0.249736 | + | 0.0114811i | ||||
\(49\) | 0.473846 | − | 0.273575i | 0.0676922 | − | 0.0390821i | ||||
\(50\) | 2.65745 | − | 9.91775i | 0.375821 | − | 1.40258i | ||||
\(51\) | −0.871071 | − | 1.68278i | −0.121974 | − | 0.235636i | ||||
\(52\) | −2.74513 | + | 2.33758i | −0.380681 | + | 0.324164i | ||||
\(53\) | 3.04435i | 0.418173i | 0.977897 | + | 0.209087i | \(0.0670490\pi\) | ||||
−0.977897 | + | 0.209087i | \(0.932951\pi\) | |||||||
\(54\) | −4.78674 | − | 2.02166i | −0.651393 | − | 0.275113i | ||||
\(55\) | −1.13876 | − | 1.97239i | −0.153551 | − | 0.265957i | ||||
\(56\) | 1.27012 | − | 2.19992i | 0.169727 | − | 0.293976i | ||||
\(57\) | 0.720857 | − | 2.26801i | 0.0954799 | − | 0.300405i | ||||
\(58\) | 5.72147 | − | 1.53306i | 0.751265 | − | 0.201301i | ||||
\(59\) | 8.19009 | − | 2.19453i | 1.06626 | − | 0.285703i | 0.317304 | − | 0.948324i | \(-0.397223\pi\) |
0.748955 | + | 0.662621i | \(0.230556\pi\) | |||||||
\(60\) | −2.05000 | + | 6.44983i | −0.264653 | + | 0.832670i | ||||
\(61\) | −4.67266 | + | 8.09329i | −0.598273 | + | 1.03624i | 0.394803 | + | 0.918766i | \(0.370813\pi\) |
−0.993076 | + | 0.117474i | \(0.962520\pi\) | |||||||
\(62\) | 4.59607 | + | 7.96063i | 0.583702 | + | 1.01100i | ||||
\(63\) | −5.86037 | + | 4.87153i | −0.738337 | + | 0.613755i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −6.04642 | − | 12.7248i | −0.749966 | − | 1.57831i | ||||
\(66\) | 0.464102 | + | 0.896575i | 0.0571270 | + | 0.110361i | ||||
\(67\) | 1.70856 | − | 6.37644i | 0.208734 | − | 0.779006i | −0.779545 | − | 0.626346i | \(-0.784550\pi\) |
0.988279 | − | 0.152659i | \(-0.0487838\pi\) | |||||||
\(68\) | 0.947432 | − | 0.547000i | 0.114893 | − | 0.0663335i | ||||
\(69\) | −3.03294 | − | 0.139433i | −0.365124 | − | 0.0167858i | ||||
\(70\) | 7.01853 | + | 7.01853i | 0.838875 | + | 0.838875i | ||||
\(71\) | 0.220122 | + | 0.821505i | 0.0261236 | + | 0.0974947i | 0.977757 | − | 0.209742i | \(-0.0672624\pi\) |
−0.951633 | + | 0.307237i | \(0.900596\pi\) | |||||||
\(72\) | 1.03906 | − | 2.81431i | 0.122454 | − | 0.331670i | ||||
\(73\) | −5.18078 | + | 5.18078i | −0.606365 | + | 0.606365i | −0.941994 | − | 0.335629i | \(-0.891051\pi\) |
0.335629 | + | 0.941994i | \(0.391051\pi\) | |||||||
\(74\) | −2.68024 | − | 1.54744i | −0.311571 | − | 0.179886i | ||||
\(75\) | −14.9768 | − | 9.58993i | −1.72937 | − | 1.10735i | ||||
\(76\) | 1.32717 | + | 0.355613i | 0.152236 | + | 0.0407916i | ||||
\(77\) | 1.48065 | 0.168736 | ||||||||
\(78\) | 2.41837 | + | 5.75773i | 0.273826 | + | 0.651935i | ||||
\(79\) | −13.1089 | −1.47486 | −0.737431 | − | 0.675422i | \(-0.763961\pi\) | ||||
−0.737431 | + | 0.675422i | \(0.763961\pi\) | |||||||
\(80\) | −3.77424 | − | 1.01130i | −0.421973 | − | 0.113067i | ||||
\(81\) | −5.84847 | + | 6.84072i | −0.649830 | + | 0.760080i | ||||
\(82\) | −4.58850 | − | 2.64917i | −0.506715 | − | 0.292552i | ||||
\(83\) | −5.15394 | + | 5.15394i | −0.565719 | + | 0.565719i | −0.930926 | − | 0.365208i | \(-0.880998\pi\) |
0.365208 | + | 0.930926i | \(0.380998\pi\) | |||||||
\(84\) | −2.96499 | − | 3.25075i | −0.323507 | − | 0.354686i | ||||
\(85\) | 1.10637 | + | 4.12902i | 0.120002 | + | 0.447855i | ||||
\(86\) | 2.66422 | + | 2.66422i | 0.287290 | + | 0.287290i | ||||
\(87\) | 0.471158 | − | 10.2486i | 0.0505135 | − | 1.09877i | ||||
\(88\) | −0.504787 | + | 0.291439i | −0.0538104 | + | 0.0310675i | ||||
\(89\) | −2.50797 | + | 9.35988i | −0.265844 | + | 0.992145i | 0.695887 | + | 0.718151i | \(0.255011\pi\) |
−0.961731 | + | 0.273994i | \(0.911655\pi\) | |||||||
\(90\) | 9.57108 | + | 6.76778i | 1.00888 | + | 0.713386i | ||||
\(91\) | 9.12969 | + | 0.732051i | 0.957051 | + | 0.0767398i | ||||
\(92\) | − | 1.75292i | − | 0.182755i | ||||||
\(93\) | 15.5518 | − | 3.41012i | 1.61264 | − | 0.353613i | ||||
\(94\) | −3.89697 | − | 6.74974i | −0.401941 | − | 0.696183i | ||||
\(95\) | −2.68434 | + | 4.64941i | −0.275407 | + | 0.477019i | ||||
\(96\) | 1.65068 | + | 0.524648i | 0.168472 | + | 0.0535466i | ||||
\(97\) | −0.592450 | + | 0.158747i | −0.0601542 | + | 0.0161183i | −0.288771 | − | 0.957398i | \(-0.593247\pi\) |
0.228616 | + | 0.973517i | \(0.426580\pi\) | |||||||
\(98\) | 0.528506 | − | 0.141613i | 0.0533872 | − | 0.0143051i | ||||
\(99\) | 1.72345 | − | 0.295697i | 0.173213 | − | 0.0297187i | ||||
\(100\) | 5.13380 | − | 8.89201i | 0.513380 | − | 0.889201i | ||||
\(101\) | 2.91789 | + | 5.05394i | 0.290341 | + | 0.502886i | 0.973890 | − | 0.227019i | \(-0.0728979\pi\) |
−0.683549 | + | 0.729904i | \(0.739565\pi\) | |||||||
\(102\) | −0.405854 | − | 1.85089i | −0.0401856 | − | 0.183265i | ||||
\(103\) | − | 2.07313i | − | 0.204272i | −0.994770 | − | 0.102136i | \(-0.967432\pi\) | ||
0.994770 | − | 0.102136i | \(-0.0325677\pi\) | |||||||
\(104\) | −3.25660 | + | 1.54744i | −0.319336 | + | 0.151739i | ||||
\(105\) | 15.2676 | − | 7.90310i | 1.48997 | − | 0.771263i | ||||
\(106\) | −0.787935 | + | 2.94061i | −0.0765310 | + | 0.285618i | ||||
\(107\) | 2.99520 | − | 1.72928i | 0.289557 | − | 0.167176i | −0.348185 | − | 0.937426i | \(-0.613202\pi\) |
0.637742 | + | 0.770250i | \(0.279869\pi\) | |||||||
\(108\) | −4.10039 | − | 3.19168i | −0.394560 | − | 0.307119i | ||||
\(109\) | −10.9901 | − | 10.9901i | −1.05266 | − | 1.05266i | −0.998534 | − | 0.0541251i | \(-0.982763\pi\) |
−0.0541251 | − | 0.998534i | \(-0.517237\pi\) | |||||||
\(110\) | −0.589466 | − | 2.19992i | −0.0562034 | − | 0.209754i | ||||
\(111\) | −3.96050 | + | 3.61236i | −0.375914 | + | 0.342870i | ||||
\(112\) | 1.79623 | − | 1.79623i | 0.169727 | − | 0.169727i | ||||
\(113\) | −9.43719 | − | 5.44856i | −0.887776 | − | 0.512558i | −0.0145614 | − | 0.999894i | \(-0.504635\pi\) |
−0.873214 | + | 0.487336i | \(0.837969\pi\) | |||||||
\(114\) | 1.28330 | − | 2.00416i | 0.120192 | − | 0.187706i | ||||
\(115\) | 6.61594 | + | 1.77274i | 0.616940 | + | 0.165308i | ||||
\(116\) | 5.92330 | 0.549965 | ||||||||
\(117\) | 10.7730 | − | 0.971173i | 0.995961 | − | 0.0897850i | ||||
\(118\) | 8.47900 | 0.780556 | ||||||||
\(119\) | −2.68434 | − | 0.719266i | −0.246073 | − | 0.0659350i | ||||
\(120\) | −3.64948 | + | 5.69948i | −0.333151 | + | 0.520289i | ||||
\(121\) | 9.23205 | + | 5.33013i | 0.839277 | + | 0.484557i | ||||
\(122\) | −6.60814 | + | 6.60814i | −0.598273 | + | 0.598273i | ||||
\(123\) | −6.78029 | + | 6.18427i | −0.611358 | + | 0.557617i | ||||
\(124\) | 2.37910 | + | 8.87893i | 0.213650 | + | 0.797352i | ||||
\(125\) | 14.5541 | + | 14.5541i | 1.30175 | + | 1.30175i | ||||
\(126\) | −6.92152 | + | 3.18876i | −0.616618 | + | 0.284077i | ||||
\(127\) | 8.06551 | − | 4.65662i | 0.715698 | − | 0.413209i | −0.0974690 | − | 0.995239i | \(-0.531075\pi\) |
0.813167 | + | 0.582030i | \(0.197741\pi\) | |||||||
\(128\) | −0.258819 | + | 0.965926i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 5.79555 | − | 3.00000i | 0.510270 | − | 0.264135i | ||||
\(130\) | −2.54698 | − | 13.8561i | −0.223385 | − | 1.21526i | ||||
\(131\) | 0.917828i | 0.0801910i | 0.999196 | + | 0.0400955i | \(0.0127662\pi\) | ||||
−0.999196 | + | 0.0400955i | \(0.987234\pi\) | |||||||
\(132\) | 0.216237 | + | 0.986144i | 0.0188210 | + | 0.0858328i | ||||
\(133\) | −1.74513 | − | 3.02265i | −0.151322 | − | 0.262097i | ||||
\(134\) | 3.30069 | − | 5.71696i | 0.285136 | − | 0.493870i | ||||
\(135\) | 16.1929 | − | 12.2481i | 1.39366 | − | 1.05415i | ||||
\(136\) | 1.05672 | − | 0.283148i | 0.0906133 | − | 0.0242797i | ||||
\(137\) | 8.32493 | − | 2.23066i | 0.711247 | − | 0.190578i | 0.114984 | − | 0.993367i | \(-0.463318\pi\) |
0.596263 | + | 0.802789i | \(0.296652\pi\) | |||||||
\(138\) | −2.89351 | − | 0.919666i | −0.246312 | − | 0.0782871i | ||||
\(139\) | −1.65662 | + | 2.86936i | −0.140513 | + | 0.243376i | −0.927690 | − | 0.373352i | \(-0.878209\pi\) |
0.787177 | + | 0.616727i | \(0.211542\pi\) | |||||||
\(140\) | 4.96285 | + | 8.59591i | 0.419438 | + | 0.726487i | ||||
\(141\) | −13.1862 | + | 2.89141i | −1.11048 | + | 0.243500i | ||||
\(142\) | 0.850484i | 0.0713711i | ||||||||
\(143\) | −1.73022 | − | 1.19291i | −0.144689 | − | 0.0997557i | ||||
\(144\) | 1.73205 | − | 2.44949i | 0.144338 | − | 0.204124i | ||||
\(145\) | −5.99026 | + | 22.3559i | −0.497464 | + | 1.85656i | ||||
\(146\) | −6.34514 | + | 3.66337i | −0.525127 | + | 0.303182i | ||||
\(147\) | 0.0435221 | − | 0.946692i | 0.00358964 | − | 0.0780818i | ||||
\(148\) | −2.18840 | − | 2.18840i | −0.179886 | − | 0.179886i | ||||
\(149\) | 2.03304 | + | 7.58742i | 0.166553 | + | 0.621585i | 0.997837 | + | 0.0657369i | \(0.0209398\pi\) |
−0.831284 | + | 0.555848i | \(0.812394\pi\) | |||||||
\(150\) | −11.9844 | − | 13.1394i | −0.978524 | − | 1.07283i | ||||
\(151\) | 10.2600 | − | 10.2600i | 0.834946 | − | 0.834946i | −0.153243 | − | 0.988189i | \(-0.548972\pi\) |
0.988189 | + | 0.153243i | \(0.0489717\pi\) | |||||||
\(152\) | 1.18990 | + | 0.686992i | 0.0965140 | + | 0.0557224i | ||||
\(153\) | −3.26816 | − | 0.301129i | −0.264215 | − | 0.0243449i | ||||
\(154\) | 1.43020 | + | 0.383221i | 0.115249 | + | 0.0308808i | ||||
\(155\) | −35.9172 | −2.88494 | ||||||||
\(156\) | 0.845754 | + | 6.18746i | 0.0677145 | + | 0.495394i | ||||
\(157\) | −6.71547 | −0.535953 | −0.267976 | − | 0.963425i | \(-0.586355\pi\) | ||||
−0.267976 | + | 0.963425i | \(0.586355\pi\) | |||||||
\(158\) | −12.6622 | − | 3.39282i | −1.00735 | − | 0.269918i | ||||
\(159\) | 4.44062 | + | 2.84341i | 0.352164 | + | 0.225497i | ||||
\(160\) | −3.38389 | − | 1.95369i | −0.267520 | − | 0.154453i | ||||
\(161\) | −3.14864 | + | 3.14864i | −0.248148 | + | 0.248148i | ||||
\(162\) | −7.41970 | + | 5.09393i | −0.582946 | + | 0.400217i | ||||
\(163\) | −0.407550 | − | 1.52100i | −0.0319217 | − | 0.119134i | 0.948127 | − | 0.317893i | \(-0.102975\pi\) |
−0.980048 | + | 0.198760i | \(0.936309\pi\) | |||||||
\(164\) | −3.74650 | − | 3.74650i | −0.292552 | − | 0.292552i | ||||
\(165\) | −3.94062 | − | 0.181161i | −0.306777 | − | 0.0141034i | ||||
\(166\) | −6.31226 | + | 3.64439i | −0.489927 | + | 0.282859i | ||||
\(167\) | 6.32673 | − | 23.6117i | 0.489577 | − | 1.82713i | −0.0689223 | − | 0.997622i | \(-0.521956\pi\) |
0.558499 | − | 0.829505i | \(-0.311377\pi\) | |||||||
\(168\) | −2.02261 | − | 3.90738i | −0.156048 | − | 0.301461i | ||||
\(169\) | −10.0788 | − | 8.21088i | −0.775289 | − | 0.631606i | ||||
\(170\) | 4.27467i | 0.327852i | ||||||||
\(171\) | −2.63494 | − | 3.16979i | −0.201499 | − | 0.242400i | ||||
\(172\) | 1.88389 | + | 3.26299i | 0.143645 | + | 0.248801i | ||||
\(173\) | 10.3837 | − | 17.9850i | 0.789456 | − | 1.36738i | −0.136845 | − | 0.990593i | \(-0.543696\pi\) |
0.926301 | − | 0.376785i | \(-0.122971\pi\) | |||||||
\(174\) | 3.10764 | − | 9.77747i | 0.235590 | − | 0.741228i | ||||
\(175\) | −25.1935 | + | 6.75058i | −1.90445 | + | 0.510296i | ||||
\(176\) | −0.563016 | + | 0.150860i | −0.0424389 | + | 0.0113715i | ||||
\(177\) | 4.44849 | − | 13.9961i | 0.334369 | − | 1.05201i | ||||
\(178\) | −4.84503 | + | 8.39184i | −0.363150 | + | 0.628995i | ||||
\(179\) | 7.00018 | + | 12.1247i | 0.523218 | + | 0.906241i | 0.999635 | + | 0.0270211i | \(0.00860212\pi\) |
−0.476416 | + | 0.879220i | \(0.658065\pi\) | |||||||
\(180\) | 7.49333 | + | 9.01435i | 0.558520 | + | 0.671890i | ||||
\(181\) | 25.5405i | 1.89841i | 0.314653 | + | 0.949207i | \(0.398112\pi\) | ||||
−0.314653 | + | 0.949207i | \(0.601888\pi\) | |||||||
\(182\) | 8.62913 | + | 3.07004i | 0.639634 | + | 0.227567i | ||||
\(183\) | 7.44098 | + | 14.3749i | 0.550053 | + | 1.06262i | ||||
\(184\) | 0.453689 | − | 1.69319i | 0.0334464 | − | 0.124824i | ||||
\(185\) | 10.4727 | − | 6.04642i | 0.769968 | − | 0.444541i | ||||
\(186\) | 15.9045 | + | 0.731173i | 1.16617 | + | 0.0536122i | ||||
\(187\) | 0.450899 | + | 0.450899i | 0.0329730 | + | 0.0329730i | ||||
\(188\) | −2.01722 | − | 7.52836i | −0.147121 | − | 0.549062i | ||||
\(189\) | 1.63226 | + | 13.0982i | 0.118729 | + | 0.952753i | ||||
\(190\) | −3.79623 | + | 3.79623i | −0.275407 | + | 0.275407i | ||||
\(191\) | 20.4783 | + | 11.8231i | 1.48176 | + | 0.855493i | 0.999786 | − | 0.0206939i | \(-0.00658754\pi\) |
0.481972 | + | 0.876187i | \(0.339921\pi\) | |||||||
\(192\) | 1.45865 | + | 0.933998i | 0.105269 | + | 0.0674055i | ||||
\(193\) | 10.2375 | + | 2.74313i | 0.736912 | + | 0.197455i | 0.607705 | − | 0.794163i | \(-0.292090\pi\) |
0.129207 | + | 0.991618i | \(0.458757\pi\) | |||||||
\(194\) | −0.613350 | −0.0440360 | ||||||||
\(195\) | −24.2083 | − | 3.06533i | −1.73359 | − | 0.219513i | ||||
\(196\) | 0.547150 | 0.0390821 | ||||||||
\(197\) | 3.34959 | + | 0.897520i | 0.238649 | + | 0.0639457i | 0.376161 | − | 0.926554i | \(-0.377244\pi\) |
−0.137512 | + | 0.990500i | \(0.543911\pi\) | |||||||
\(198\) | 1.74126 | + | 0.160440i | 0.123746 | + | 0.0114020i | ||||
\(199\) | −2.67432 | − | 1.54402i | −0.189577 | − | 0.109453i | 0.402207 | − | 0.915549i | \(-0.368243\pi\) |
−0.591785 | + | 0.806096i | \(0.701576\pi\) | |||||||
\(200\) | 7.26029 | − | 7.26029i | 0.513380 | − | 0.513380i | ||||
\(201\) | −7.70517 | − | 8.44777i | −0.543481 | − | 0.595860i | ||||
\(202\) | 1.51041 | + | 5.63694i | 0.106272 | + | 0.396613i | ||||
\(203\) | −10.6396 | − | 10.6396i | −0.746752 | − | 0.746752i | ||||
\(204\) | 0.0870203 | − | 1.89286i | 0.00609264 | − | 0.132527i | ||||
\(205\) | 17.9290 | − | 10.3513i | 1.25222 | − | 0.722968i | ||||
\(206\) | 0.536566 | − | 2.00249i | 0.0373843 | − | 0.139520i | ||||
\(207\) | −3.03615 | + | 4.29376i | −0.211027 | + | 0.298437i | ||||
\(208\) | −3.54614 | + | 0.651838i | −0.245881 | + | 0.0451969i | ||||
\(209\) | 0.800864i | 0.0553969i | ||||||||
\(210\) | 16.7928 | − | 3.68226i | 1.15882 | − | 0.254100i | ||||
\(211\) | 2.47900 | + | 4.29376i | 0.170662 | + | 0.295595i | 0.938651 | − | 0.344867i | \(-0.112076\pi\) |
−0.767990 | + | 0.640462i | \(0.778743\pi\) | |||||||
\(212\) | −1.52217 | + | 2.63648i | −0.104543 | + | 0.181074i | ||||
\(213\) | 1.40388 | + | 0.446205i | 0.0961921 | + | 0.0305734i | ||||
\(214\) | 3.34071 | − | 0.895141i | 0.228366 | − | 0.0611906i | ||||
\(215\) | −14.2205 | + | 3.81037i | −0.969829 | + | 0.259865i | ||||
\(216\) | −3.13461 | − | 4.14418i | −0.213283 | − | 0.281976i | ||||
\(217\) | 11.6752 | − | 20.2220i | 0.792561 | − | 1.37276i | ||||
\(218\) | −7.77116 | − | 13.4601i | −0.526330 | − | 0.911630i | ||||
\(219\) | 2.71809 | + | 12.3958i | 0.183671 | + | 0.837628i | ||||
\(220\) | − | 2.27752i | − | 0.153551i | ||||||
\(221\) | 2.55731 | + | 3.00317i | 0.172023 | + | 0.202015i | ||||
\(222\) | −4.76050 | + | 2.46422i | −0.319504 | + | 0.165387i | ||||
\(223\) | 4.93415 | − | 18.4145i | 0.330415 | − | 1.23313i | −0.578340 | − | 0.815796i | \(-0.696299\pi\) |
0.908755 | − | 0.417330i | \(-0.137034\pi\) | |||||||
\(224\) | 2.19992 | − | 1.27012i | 0.146988 | − | 0.0848637i | ||||
\(225\) | −27.9766 | + | 12.8889i | −1.86511 | + | 0.859258i | ||||
\(226\) | −7.70543 | − | 7.70543i | −0.512558 | − | 0.512558i | ||||
\(227\) | −1.38733 | − | 5.17758i | −0.0920803 | − | 0.343648i | 0.904480 | − | 0.426515i | \(-0.140259\pi\) |
−0.996561 | + | 0.0828671i | \(0.973592\pi\) | |||||||
\(228\) | 1.75828 | − | 1.60372i | 0.116445 | − | 0.106209i | ||||
\(229\) | 2.78436 | − | 2.78436i | 0.183996 | − | 0.183996i | −0.609099 | − | 0.793094i | \(-0.708469\pi\) |
0.793094 | + | 0.609099i | \(0.208469\pi\) | |||||||
\(230\) | 5.93169 | + | 3.42466i | 0.391124 | + | 0.225816i | ||||
\(231\) | 1.38293 | − | 2.15975i | 0.0909899 | − | 0.142101i | ||||
\(232\) | 5.72147 | + | 1.53306i | 0.375633 | + | 0.100650i | ||||
\(233\) | −3.83663 | −0.251346 | −0.125673 | − | 0.992072i | \(-0.540109\pi\) | ||||
−0.125673 | + | 0.992072i | \(0.540109\pi\) | |||||||
\(234\) | 10.6572 | + | 1.85017i | 0.696686 | + | 0.120949i | ||||
\(235\) | 30.4538 | 1.98659 | ||||||||
\(236\) | 8.19009 | + | 2.19453i | 0.533129 | + | 0.142852i | ||||
\(237\) | −12.2437 | + | 19.1212i | −0.795311 | + | 1.24205i | ||||
\(238\) | −2.40671 | − | 1.38951i | −0.156004 | − | 0.0900689i | ||||
\(239\) | −0.751524 | + | 0.751524i | −0.0486121 | + | 0.0486121i | −0.730995 | − | 0.682383i | \(-0.760944\pi\) |
0.682383 | + | 0.730995i | \(0.260944\pi\) | |||||||
\(240\) | −5.00027 | + | 4.56072i | −0.322766 | + | 0.294393i | ||||
\(241\) | −7.23751 | − | 27.0107i | −0.466209 | − | 1.73991i | −0.652851 | − | 0.757487i | \(-0.726427\pi\) |
0.186642 | − | 0.982428i | \(-0.440240\pi\) | |||||||
\(242\) | 7.53794 | + | 7.53794i | 0.484557 | + | 0.484557i | ||||
\(243\) | 4.51572 | + | 14.9201i | 0.289684 | + | 0.957122i | ||||
\(244\) | −8.09329 | + | 4.67266i | −0.518120 | + | 0.299137i | ||||
\(245\) | −0.553335 | + | 2.06507i | −0.0353513 | + | 0.131933i | ||||
\(246\) | −8.14986 | + | 4.21868i | −0.519616 | + | 0.268973i | ||||
\(247\) | −0.395956 | + | 4.93812i | −0.0251941 | + | 0.314205i | ||||
\(248\) | 9.19215i | 0.583702i | ||||||||
\(249\) | 2.70400 | + | 12.3315i | 0.171359 | + | 0.781480i | ||||
\(250\) | 10.2913 | + | 17.8250i | 0.650877 | + | 1.12735i | ||||
\(251\) | 7.56320 | − | 13.0998i | 0.477385 | − | 0.826855i | −0.522279 | − | 0.852775i | \(-0.674918\pi\) |
0.999664 | + | 0.0259196i | \(0.00825138\pi\) | |||||||
\(252\) | −7.51099 | + | 1.28868i | −0.473148 | + | 0.0811793i | ||||
\(253\) | 0.986923 | − | 0.264445i | 0.0620473 | − | 0.0166255i | ||||
\(254\) | 8.99591 | − | 2.41045i | 0.564453 | − | 0.151245i | ||||
\(255\) | 7.05612 | + | 2.24270i | 0.441871 | + | 0.140443i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.178601 | + | 0.309345i | 0.0111408 | + | 0.0192964i | 0.871542 | − | 0.490321i | \(-0.163120\pi\) |
−0.860401 | + | 0.509617i | \(0.829787\pi\) | |||||||
\(258\) | 6.37453 | − | 1.39778i | 0.396861 | − | 0.0870218i | ||||
\(259\) | 7.86174i | 0.488505i | ||||||||
\(260\) | 1.12603 | − | 14.0432i | 0.0698336 | − | 0.870921i | ||||
\(261\) | −14.5091 | − | 10.2595i | −0.898088 | − | 0.635044i | ||||
\(262\) | −0.237551 | + | 0.886554i | −0.0146760 | + | 0.0547715i | ||||
\(263\) | −1.86002 | + | 1.07389i | −0.114694 | + | 0.0662186i | −0.556250 | − | 0.831015i | \(-0.687760\pi\) |
0.441556 | + | 0.897234i | \(0.354427\pi\) | |||||||
\(264\) | −0.0463639 | + | 1.00851i | −0.00285350 | + | 0.0620694i | ||||
\(265\) | −8.41133 | − | 8.41133i | −0.516704 | − | 0.516704i | ||||
\(266\) | −0.903345 | − | 3.37133i | −0.0553876 | − | 0.206709i | ||||
\(267\) | 11.3103 | + | 12.4004i | 0.692180 | + | 0.758889i | ||||
\(268\) | 4.66788 | − | 4.66788i | 0.285136 | − | 0.285136i | ||||
\(269\) | −21.2380 | − | 12.2618i | −1.29490 | − | 0.747612i | −0.315384 | − | 0.948964i | \(-0.602133\pi\) |
−0.979519 | + | 0.201352i | \(0.935467\pi\) | |||||||
\(270\) | 18.8112 | − | 7.63973i | 1.14481 | − | 0.464939i | ||||
\(271\) | −21.1790 | − | 5.67488i | −1.28653 | − | 0.344725i | −0.450189 | − | 0.892934i | \(-0.648643\pi\) |
−0.836341 | + | 0.548209i | \(0.815310\pi\) | |||||||
\(272\) | 1.09400 | 0.0663335 | ||||||||
\(273\) | 9.59491 | − | 12.6332i | 0.580710 | − | 0.764599i | ||||
\(274\) | 8.61860 | 0.520669 | ||||||||
\(275\) | 5.78083 | + | 1.54897i | 0.348597 | + | 0.0934063i | ||||
\(276\) | −2.55689 | − | 1.63722i | −0.153907 | − | 0.0985493i | ||||
\(277\) | −16.1517 | − | 9.32517i | −0.970460 | − | 0.560295i | −0.0710833 | − | 0.997470i | \(-0.522646\pi\) |
−0.899376 | + | 0.437175i | \(0.855979\pi\) | |||||||
\(278\) | −2.34282 | + | 2.34282i | −0.140513 | + | 0.140513i | ||||
\(279\) | 9.55117 | − | 25.8696i | 0.571814 | − | 1.54877i | ||||
\(280\) | 2.56896 | + | 9.58749i | 0.153525 | + | 0.572962i | ||||
\(281\) | 11.2782 | + | 11.2782i | 0.672801 | + | 0.672801i | 0.958361 | − | 0.285560i | \(-0.0921797\pi\) |
−0.285560 | + | 0.958361i | \(0.592180\pi\) | |||||||
\(282\) | −13.4852 | − | 0.619955i | −0.803035 | − | 0.0369178i | ||||
\(283\) | 4.08342 | − | 2.35756i | 0.242734 | − | 0.140143i | −0.373699 | − | 0.927550i | \(-0.621911\pi\) |
0.616433 | + | 0.787408i | \(0.288577\pi\) | |||||||
\(284\) | −0.220122 | + | 0.821505i | −0.0130618 | + | 0.0487473i | ||||
\(285\) | 4.27467 | + | 8.25803i | 0.253210 | + | 0.489164i | ||||
\(286\) | −1.36252 | − | 1.60007i | −0.0805676 | − | 0.0946143i | ||||
\(287\) | 13.4591i | 0.794466i | ||||||||
\(288\) | 2.30701 | − | 1.91774i | 0.135942 | − | 0.113004i | ||||
\(289\) | 7.90158 | + | 13.6859i | 0.464799 | + | 0.805055i | ||||
\(290\) | −11.5723 | + | 20.0438i | −0.679548 | + | 1.17701i | ||||
\(291\) | −0.321793 | + | 1.01244i | −0.0188638 | + | 0.0593505i | ||||
\(292\) | −7.07708 | + | 1.89630i | −0.414155 | + | 0.110972i | ||||
\(293\) | −20.6276 | + | 5.52716i | −1.20508 | + | 0.322900i | −0.804830 | − | 0.593506i | \(-0.797743\pi\) |
−0.400250 | + | 0.916406i | \(0.631077\pi\) | |||||||
\(294\) | 0.287061 | − | 0.903170i | 0.0167417 | − | 0.0526739i | ||||
\(295\) | −16.5653 | + | 28.6920i | −0.964471 | + | 1.67051i | ||||
\(296\) | −1.54744 | − | 2.68024i | −0.0899429 | − | 0.155786i | ||||
\(297\) | 1.17838 | − | 2.79008i | 0.0683766 | − | 0.161897i | ||||
\(298\) | 7.85507i | 0.455032i | ||||||||
\(299\) | 6.21610 | − | 1.14262i | 0.359486 | − | 0.0660795i | ||||
\(300\) | −8.17533 | − | 15.7935i | −0.472003 | − | 0.911839i | ||||
\(301\) | 2.47718 | − | 9.24496i | 0.142782 | − | 0.532870i | ||||
\(302\) | 12.5659 | − | 7.25490i | 0.723084 | − | 0.417473i | ||||
\(303\) | 10.0972 | + | 0.464197i | 0.580070 | + | 0.0266674i | ||||
\(304\) | 0.971553 | + | 0.971553i | 0.0557224 | + | 0.0557224i | ||||
\(305\) | −9.45097 | − | 35.2715i | −0.541161 | − | 2.01964i | ||||
\(306\) | −3.07886 | − | 1.13673i | −0.176007 | − | 0.0649825i | ||||
\(307\) | −16.2259 | + | 16.2259i | −0.926063 | + | 0.926063i | −0.997449 | − | 0.0713857i | \(-0.977258\pi\) |
0.0713857 | + | 0.997449i | \(0.477258\pi\) | |||||||
\(308\) | 1.28228 | + | 0.740326i | 0.0730648 | + | 0.0421840i | ||||
\(309\) | −3.02397 | − | 1.93630i | −0.172027 | − | 0.110152i | ||||
\(310\) | −34.6933 | − | 9.29605i | −1.97045 | − | 0.527980i | ||||
\(311\) | 32.8464 | 1.86255 | 0.931275 | − | 0.364317i | \(-0.118697\pi\) | ||||
0.931275 | + | 0.364317i | \(0.118697\pi\) | |||||||
\(312\) | −0.784497 | + | 6.19553i | −0.0444134 | + | 0.350753i | ||||
\(313\) | 11.0629 | 0.625311 | 0.312655 | − | 0.949867i | \(-0.398782\pi\) | ||||
0.312655 | + | 0.949867i | \(0.398782\pi\) | |||||||
\(314\) | −6.48665 | − | 1.73809i | −0.366063 | − | 0.0980862i | ||||
\(315\) | 2.73210 | − | 29.6515i | 0.153936 | − | 1.67067i | ||||
\(316\) | −11.3526 | − | 6.55443i | −0.638634 | − | 0.368716i | ||||
\(317\) | −17.5500 | + | 17.5500i | −0.985704 | + | 0.985704i | −0.999899 | − | 0.0141948i | \(-0.995481\pi\) |
0.0141948 | + | 0.999899i | \(0.495481\pi\) | |||||||
\(318\) | 3.55338 | + | 3.89584i | 0.199264 | + | 0.218468i | ||||
\(319\) | 0.893587 | + | 3.33491i | 0.0500313 | + | 0.186719i | ||||
\(320\) | −2.76293 | − | 2.76293i | −0.154453 | − | 0.154453i | ||||
\(321\) | 0.275105 | − | 5.98408i | 0.0153549 | − | 0.333999i | ||||
\(322\) | −3.85628 | + | 2.22643i | −0.214902 | + | 0.124074i | ||||
\(323\) | 0.389041 | − | 1.45192i | 0.0216468 | − | 0.0807870i | ||||
\(324\) | −8.48528 | + | 3.00000i | −0.471405 | + | 0.166667i | ||||
\(325\) | 34.8787 | + | 12.4090i | 1.93472 | + | 0.688329i | ||||
\(326\) | − | 1.57465i | − | 0.0872118i | ||||||
\(327\) | −26.2954 | + | 5.76592i | −1.45414 | + | 0.318856i | ||||
\(328\) | −2.64917 | − | 4.58850i | −0.146276 | − | 0.253358i | ||||
\(329\) | −9.89925 | + | 17.1460i | −0.545763 | + | 0.945290i | ||||
\(330\) | −3.75946 | − | 1.19490i | −0.206952 | − | 0.0657769i | ||||
\(331\) | 4.46639 | − | 1.19677i | 0.245495 | − | 0.0657803i | −0.133973 | − | 0.990985i | \(-0.542774\pi\) |
0.379468 | + | 0.925205i | \(0.376107\pi\) | |||||||
\(332\) | −7.04041 | + | 1.88647i | −0.386393 | + | 0.103534i | ||||
\(333\) | 1.57005 | + | 9.15090i | 0.0860380 | + | 0.501466i | ||||
\(334\) | 12.2223 | − | 21.1697i | 0.668775 | − | 1.15835i | ||||
\(335\) | 12.8970 | + | 22.3383i | 0.704640 | + | 1.22047i | ||||
\(336\) | −0.942385 | − | 4.29773i | −0.0514113 | − | 0.234460i | ||||
\(337\) | 7.78436i | 0.424041i | 0.977265 | + | 0.212021i | \(0.0680044\pi\) | ||||
−0.977265 | + | 0.212021i | \(0.931996\pi\) | |||||||
\(338\) | −7.61020 | − | 10.5397i | −0.413940 | − | 0.573283i | ||||
\(339\) | −16.7618 | + | 8.67656i | −0.910378 | + | 0.471246i | ||||
\(340\) | −1.10637 | + | 4.12902i | −0.0600012 | + | 0.223927i | ||||
\(341\) | −4.64007 | + | 2.67895i | −0.251274 | + | 0.145073i | ||||
\(342\) | −1.72475 | − | 3.74375i | −0.0932640 | − | 0.202439i | ||||
\(343\) | −13.5564 | − | 13.5564i | −0.731976 | − | 0.731976i | ||||
\(344\) | 0.975173 | + | 3.63939i | 0.0525778 | + | 0.196223i | ||||
\(345\) | 8.76507 | − | 7.99458i | 0.471895 | − | 0.430414i | ||||
\(346\) | 14.6847 | − | 14.6847i | 0.789456 | − | 0.789456i | ||||
\(347\) | 9.39077 | + | 5.42177i | 0.504123 | + | 0.291056i | 0.730415 | − | 0.683004i | \(-0.239327\pi\) |
−0.226292 | + | 0.974060i | \(0.572660\pi\) | |||||||
\(348\) | 5.53235 | − | 8.63999i | 0.296565 | − | 0.463152i | ||||
\(349\) | 14.8487 | + | 3.97869i | 0.794830 | + | 0.212974i | 0.633313 | − | 0.773896i | \(-0.281695\pi\) |
0.161517 | + | 0.986870i | \(0.448361\pi\) | |||||||
\(350\) | −26.0822 | −1.39415 | ||||||||
\(351\) | 8.64533 | − | 16.6210i | 0.461454 | − | 0.887164i | ||||
\(352\) | −0.582877 | −0.0310675 | ||||||||
\(353\) | −1.80378 | − | 0.483321i | −0.0960054 | − | 0.0257246i | 0.210497 | − | 0.977595i | \(-0.432492\pi\) |
−0.306502 | + | 0.951870i | \(0.599159\pi\) | |||||||
\(354\) | 7.91937 | − | 12.3679i | 0.420910 | − | 0.657345i | ||||
\(355\) | −2.87795 | − | 1.66158i | −0.152745 | − | 0.0881876i | ||||
\(356\) | −6.85191 | + | 6.85191i | −0.363150 | + | 0.363150i | ||||
\(357\) | −3.55632 | + | 3.24370i | −0.188220 | + | 0.171675i | ||||
\(358\) | 3.62356 | + | 13.5233i | 0.191511 | + | 0.714730i | ||||
\(359\) | −12.1336 | − | 12.1336i | −0.640387 | − | 0.640387i | 0.310264 | − | 0.950650i | \(-0.399583\pi\) |
−0.950650 | + | 0.310264i | \(0.899583\pi\) | |||||||
\(360\) | 4.90491 | + | 10.6466i | 0.258512 | + | 0.561126i | ||||
\(361\) | −14.8196 | + | 8.55608i | −0.779978 | + | 0.450320i | ||||
\(362\) | −6.61038 | + | 24.6703i | −0.347434 | + | 1.29664i | ||||
\(363\) | 16.3975 | − | 8.48796i | 0.860645 | − | 0.445503i | ||||
\(364\) | 7.54051 | + | 5.19882i | 0.395230 | + | 0.272492i | ||||
\(365\) | − | 28.6283i | − | 1.49847i | ||||||
\(366\) | 3.46695 | + | 15.8109i | 0.181220 | + | 0.826451i | ||||
\(367\) | 4.53141 | + | 7.84863i | 0.236538 | + | 0.409695i | 0.959718 | − | 0.280964i | \(-0.0906540\pi\) |
−0.723181 | + | 0.690659i | \(0.757321\pi\) | |||||||
\(368\) | 0.876460 | − | 1.51807i | 0.0456887 | − | 0.0791351i | ||||
\(369\) | 2.68788 | + | 15.6661i | 0.139926 | + | 0.815546i | ||||
\(370\) | 11.6808 | − | 3.12986i | 0.607255 | − | 0.162713i | ||||
\(371\) | 7.46988 | − | 2.00155i | 0.387817 | − | 0.103915i | ||||
\(372\) | 15.1733 | + | 4.82264i | 0.786699 | + | 0.250042i | ||||
\(373\) | 3.78793 | − | 6.56090i | 0.196132 | − | 0.339710i | −0.751139 | − | 0.660144i | \(-0.770495\pi\) |
0.947271 | + | 0.320434i | \(0.103829\pi\) | |||||||
\(374\) | 0.318834 | + | 0.552237i | 0.0164865 | + | 0.0285555i | ||||
\(375\) | 34.8227 | − | 7.63575i | 1.79823 | − | 0.394308i | ||||
\(376\) | − | 7.79393i | − | 0.401941i | ||||||
\(377\) | 3.86103 | + | 21.0048i | 0.198853 | + | 1.08180i | ||||
\(378\) | −1.81342 | + | 13.0743i | −0.0932723 | + | 0.672472i | ||||
\(379\) | 3.12578 | − | 11.6656i | 0.160561 | − | 0.599221i | −0.838004 | − | 0.545664i | \(-0.816278\pi\) |
0.998565 | − | 0.0535568i | \(-0.0170558\pi\) | |||||||
\(380\) | −4.64941 | + | 2.68434i | −0.238510 | + | 0.137704i | ||||
\(381\) | 0.740806 | − | 16.1140i | 0.0379526 | − | 0.825545i | ||||
\(382\) | 16.7205 | + | 16.7205i | 0.855493 | + | 0.855493i | ||||
\(383\) | 9.53291 | + | 35.5773i | 0.487109 | + | 1.81792i | 0.570371 | + | 0.821387i | \(0.306800\pi\) |
−0.0832617 | + | 0.996528i | \(0.526534\pi\) | |||||||
\(384\) | 1.16721 | + | 1.27970i | 0.0595638 | + | 0.0653043i | ||||
\(385\) | −4.09094 | + | 4.09094i | −0.208494 | + | 0.208494i | ||||
\(386\) | 9.17870 | + | 5.29932i | 0.467183 | + | 0.269728i | ||||
\(387\) | 1.03710 | − | 11.2557i | 0.0527188 | − | 0.572157i | ||||
\(388\) | −0.592450 | − | 0.158747i | −0.0300771 | − | 0.00805914i | ||||
\(389\) | 14.1012 | 0.714961 | 0.357481 | − | 0.933921i | \(-0.383636\pi\) | ||||
0.357481 | + | 0.933921i | \(0.383636\pi\) | |||||||
\(390\) | −22.5900 | − | 9.22644i | −1.14389 | − | 0.467199i | ||||
\(391\) | −1.91770 | −0.0969820 | ||||||||
\(392\) | 0.528506 | + | 0.141613i | 0.0266936 | + | 0.00715253i | ||||
\(393\) | 1.33879 | + | 0.857250i | 0.0675328 | + | 0.0432425i | ||||
\(394\) | 3.00316 | + | 1.73388i | 0.151297 | + | 0.0873514i | ||||
\(395\) | 36.2189 | − | 36.2189i | 1.82237 | − | 1.82237i | ||||
\(396\) | 1.64040 | + | 0.605643i | 0.0824332 | + | 0.0304347i | ||||
\(397\) | −2.03222 | − | 7.58436i | −0.101994 | − | 0.380648i | 0.895992 | − | 0.444069i | \(-0.146466\pi\) |
−0.997987 | + | 0.0634210i | \(0.979799\pi\) | |||||||
\(398\) | −2.18357 | − | 2.18357i | −0.109453 | − | 0.109453i | ||||
\(399\) | −6.03892 | − | 0.277626i | −0.302324 | − | 0.0138987i | ||||
\(400\) | 8.89201 | − | 5.13380i | 0.444600 | − | 0.256690i | ||||
\(401\) | −5.65677 | + | 21.1113i | −0.282485 | + | 1.05425i | 0.668172 | + | 0.744007i | \(0.267077\pi\) |
−0.950657 | + | 0.310243i | \(0.899590\pi\) | |||||||
\(402\) | −5.25618 | − | 10.1542i | −0.262154 | − | 0.506444i | ||||
\(403\) | −29.9351 | + | 14.2243i | −1.49118 | + | 0.708561i | ||||
\(404\) | 5.83579i | 0.290341i | ||||||||
\(405\) | −2.74151 | − | 35.0594i | −0.136227 | − | 1.74211i | ||||
\(406\) | −7.52332 | − | 13.0308i | −0.373376 | − | 0.646706i | ||||
\(407\) | 0.901965 | − | 1.56225i | 0.0447088 | − | 0.0774378i | ||||
\(408\) | 0.573965 | − | 1.80584i | 0.0284155 | − | 0.0894026i | ||||
\(409\) | 2.16512 | − | 0.580141i | 0.107058 | − | 0.0286861i | −0.204892 | − | 0.978785i | \(-0.565684\pi\) |
0.311950 | + | 0.950098i | \(0.399018\pi\) | |||||||
\(410\) | 19.9972 | − | 5.35824i | 0.987592 | − | 0.264625i | ||||
\(411\) | 4.52173 | − | 14.2266i | 0.223041 | − | 0.701744i | ||||
\(412\) | 1.03657 | − | 1.79539i | 0.0510680 | − | 0.0884523i | ||||
\(413\) | −10.7694 | − | 18.6531i | −0.529926 | − | 0.917860i | ||||
\(414\) | −4.04400 | + | 3.36164i | −0.198752 | + | 0.165216i | ||||
\(415\) | − | 28.4800i | − | 1.39803i | ||||||
\(416\) | −3.59402 | − | 0.288181i | −0.176211 | − | 0.0141292i | ||||
\(417\) | 2.63809 | + | 5.09640i | 0.129188 | + | 0.249572i | ||||
\(418\) | −0.207279 | + | 0.773575i | −0.0101383 | + | 0.0378368i | ||||
\(419\) | −28.9126 | + | 16.6927i | −1.41247 | + | 0.815491i | −0.995621 | − | 0.0934844i | \(-0.970199\pi\) |
−0.416851 | + | 0.908975i | \(0.636866\pi\) | |||||||
\(420\) | 17.1737 | + | 0.789523i | 0.837990 | + | 0.0385248i | ||||
\(421\) | 2.25285 | + | 2.25285i | 0.109797 | + | 0.109797i | 0.759871 | − | 0.650074i | \(-0.225262\pi\) |
−0.650074 | + | 0.759871i | \(0.725262\pi\) | |||||||
\(422\) | 1.28323 | + | 4.78907i | 0.0624665 | + | 0.233128i | ||||
\(423\) | −8.09835 | + | 21.9346i | −0.393755 | + | 1.06650i | ||||
\(424\) | −2.15268 | + | 2.15268i | −0.104543 | + | 0.104543i | ||||
\(425\) | −9.72786 | − | 5.61638i | −0.471870 | − | 0.272435i | ||||
\(426\) | 1.24056 | + | 0.794351i | 0.0601051 | + | 0.0384864i | ||||
\(427\) | 22.9305 | + | 6.14422i | 1.10969 | + | 0.297339i | ||||
\(428\) | 3.45856 | 0.167176 | ||||||||
\(429\) | −3.35605 | + | 1.40961i | −0.162032 | + | 0.0680567i | ||||
\(430\) | −14.7221 | −0.709964 | ||||||||
\(431\) | −20.9452 | − | 5.61224i | −1.00889 | − | 0.270332i | −0.283727 | − | 0.958905i | \(-0.591571\pi\) |
−0.725167 | + | 0.688573i | \(0.758238\pi\) | |||||||
\(432\) | −1.95521 | − | 4.81427i | −0.0940699 | − | 0.231627i | ||||
\(433\) | 26.0258 | + | 15.0260i | 1.25072 | + | 0.722103i | 0.971252 | − | 0.238053i | \(-0.0765091\pi\) |
0.279466 | + | 0.960155i | \(0.409842\pi\) | |||||||
\(434\) | 16.5112 | − | 16.5112i | 0.792561 | − | 0.792561i | ||||
\(435\) | 27.0145 | + | 29.6181i | 1.29525 | + | 1.42008i | ||||
\(436\) | −4.02265 | − | 15.0127i | −0.192650 | − | 0.718980i | ||||
\(437\) | −1.70306 | − | 1.70306i | −0.0814682 | − | 0.0814682i | ||||
\(438\) | −0.582792 | + | 12.6769i | −0.0278469 | + | 0.605725i | ||||
\(439\) | −18.0531 | + | 10.4229i | −0.861626 | + | 0.497460i | −0.864557 | − | 0.502535i | \(-0.832401\pi\) |
0.00293019 | + | 0.999996i | \(0.499067\pi\) | |||||||
\(440\) | 0.589466 | − | 2.19992i | 0.0281017 | − | 0.104877i | ||||
\(441\) | −1.34024 | − | 0.947691i | −0.0638209 | − | 0.0451282i | ||||
\(442\) | 1.69290 | + | 3.56272i | 0.0805228 | + | 0.169461i | ||||
\(443\) | 13.0363i | 0.619374i | 0.950839 | + | 0.309687i | \(0.100224\pi\) | ||||
−0.950839 | + | 0.309687i | \(0.899776\pi\) | |||||||
\(444\) | −5.23607 | + | 1.14814i | −0.248493 | + | 0.0544884i | ||||
\(445\) | −18.9314 | − | 32.7901i | −0.897433 | − | 1.55440i | ||||
\(446\) | 9.53204 | − | 16.5100i | 0.451355 | − | 0.781770i | ||||
\(447\) | 12.9662 | + | 4.12114i | 0.613281 | + | 0.194923i | ||||
\(448\) | 2.45369 | − | 0.657464i | 0.115926 | − | 0.0310623i | ||||
\(449\) | 18.3916 | − | 4.92801i | 0.867953 | − | 0.232567i | 0.202750 | − | 0.979230i | \(-0.435012\pi\) |
0.665202 | + | 0.746663i | \(0.268345\pi\) | |||||||
\(450\) | −30.3592 | + | 5.20882i | −1.43115 | + | 0.245546i | ||||
\(451\) | 1.54414 | − | 2.67453i | 0.0727109 | − | 0.125939i | ||||
\(452\) | −5.44856 | − | 9.43719i | −0.256279 | − | 0.443888i | ||||
\(453\) | −5.38288 | − | 24.5485i | −0.252910 | − | 1.15339i | ||||
\(454\) | − | 5.36023i | − | 0.251568i | ||||||
\(455\) | −27.2473 | + | 23.2021i | −1.27737 | + | 1.08773i | ||||
\(456\) | 2.11345 | − | 1.09400i | 0.0989712 | − | 0.0512313i | ||||
\(457\) | −5.50257 | + | 20.5359i | −0.257399 | + | 0.960627i | 0.709341 | + | 0.704866i | \(0.248993\pi\) |
−0.966740 | + | 0.255761i | \(0.917674\pi\) | |||||||
\(458\) | 3.41013 | − | 1.96884i | 0.159345 | − | 0.0919978i | ||||
\(459\) | −3.49169 | + | 4.48583i | −0.162978 | + | 0.209381i | ||||
\(460\) | 4.84320 | + | 4.84320i | 0.225816 | + | 0.225816i | ||||
\(461\) | −0.395195 | − | 1.47489i | −0.0184061 | − | 0.0686924i | 0.956112 | − | 0.293002i | \(-0.0946541\pi\) |
−0.974518 | + | 0.224309i | \(0.927987\pi\) | |||||||
\(462\) | 1.89479 | − | 1.72823i | 0.0881535 | − | 0.0804044i | ||||
\(463\) | −21.3272 | + | 21.3272i | −0.991159 | + | 0.991159i | −0.999961 | − | 0.00880240i | \(-0.997198\pi\) |
0.00880240 | + | 0.999961i | \(0.497198\pi\) | |||||||
\(464\) | 5.12973 | + | 2.96165i | 0.238142 | + | 0.137491i | ||||
\(465\) | −33.5466 | + | 52.3905i | −1.55569 | + | 2.42955i | ||||
\(466\) | −3.70590 | − | 0.992992i | −0.171672 | − | 0.0459995i | ||||
\(467\) | −11.2935 | −0.522601 | −0.261300 | − | 0.965258i | \(-0.584151\pi\) | ||||
−0.261300 | + | 0.965258i | \(0.584151\pi\) | |||||||
\(468\) | 9.81525 | + | 4.54542i | 0.453710 | + | 0.210112i | ||||
\(469\) | −16.7691 | −0.774326 | ||||||||
\(470\) | 29.4162 | + | 7.88203i | 1.35687 | + | 0.363571i | ||||
\(471\) | −6.27224 | + | 9.79549i | −0.289009 | + | 0.451352i | ||||
\(472\) | 7.34303 | + | 4.23950i | 0.337990 | + | 0.195139i | ||||
\(473\) | −1.55291 | + | 1.55291i | −0.0714031 | + | 0.0714031i | ||||
\(474\) | −16.7754 | + | 15.3008i | −0.770519 | + | 0.702787i | ||||
\(475\) | −3.65130 | − | 13.6268i | −0.167533 | − | 0.625241i | ||||
\(476\) | −1.96507 | − | 1.96507i | −0.0900689 | − | 0.0900689i | ||||
\(477\) | 8.29507 | − | 3.82155i | 0.379805 | − | 0.174977i | ||||
\(478\) | −0.920426 | + | 0.531408i | −0.0420993 | + | 0.0243060i | ||||
\(479\) | 7.52517 | − | 28.0843i | 0.343834 | − | 1.28320i | −0.550135 | − | 0.835076i | \(-0.685424\pi\) |
0.893969 | − | 0.448129i | \(-0.147910\pi\) | |||||||
\(480\) | −6.01029 | + | 3.11115i | −0.274331 | + | 0.142004i | ||||
\(481\) | 6.33390 | − | 9.18688i | 0.288801 | − | 0.418885i | ||||
\(482\) | − | 27.9636i | − | 1.27371i | ||||||
\(483\) | 1.65193 | + | 7.53358i | 0.0751653 | + | 0.342790i | ||||
\(484\) | 5.33013 | + | 9.23205i | 0.242279 | + | 0.419639i | ||||
\(485\) | 1.19829 | − | 2.07551i | 0.0544118 | − | 0.0942440i | ||||
\(486\) | 0.500258 | + | 15.5804i | 0.0226921 | + | 0.706743i | ||||
\(487\) | 2.44743 | − | 0.655786i | 0.110903 | − | 0.0297165i | −0.202940 | − | 0.979191i | \(-0.565050\pi\) |
0.313844 | + | 0.949475i | \(0.398383\pi\) | |||||||
\(488\) | −9.02689 | + | 2.41875i | −0.408628 | + | 0.109492i | ||||
\(489\) | −2.59924 | − | 0.826137i | −0.117542 | − | 0.0373592i | ||||
\(490\) | −1.06896 | + | 1.85149i | −0.0482907 | + | 0.0836420i | ||||
\(491\) | −18.4575 | − | 31.9694i | −0.832978 | − | 1.44276i | −0.895667 | − | 0.444726i | \(-0.853301\pi\) |
0.0626890 | − | 0.998033i | \(-0.480032\pi\) | |||||||
\(492\) | −8.96403 | + | 1.96559i | −0.404130 | + | 0.0886157i | ||||
\(493\) | − | 6.48009i | − | 0.291849i | ||||||
\(494\) | −1.66054 | + | 4.66738i | −0.0747114 | + | 0.209995i | ||||
\(495\) | −3.94478 | + | 5.57877i | −0.177305 | + | 0.250747i | ||||
\(496\) | −2.37910 | + | 8.87893i | −0.106825 | + | 0.398676i | ||||
\(497\) | 1.87100 | − | 1.08022i | 0.0839256 | − | 0.0484545i | ||||
\(498\) | −0.579773 | + | 12.6112i | −0.0259802 | + | 0.565122i | ||||
\(499\) | 22.3461 | + | 22.3461i | 1.00035 | + | 1.00035i | 1.00000 | 0.000347536i | \(0.000110624\pi\) | |
0.000347536 | 1.00000i | \(0.499889\pi\) | ||||||||
\(500\) | 5.32715 | + | 19.8812i | 0.238237 | + | 0.889114i | ||||
\(501\) | −28.5319 | − | 31.2817i | −1.27471 | − | 1.39756i | ||||
\(502\) | 10.6960 | − | 10.6960i | 0.477385 | − | 0.477385i | ||||
\(503\) | −20.2177 | − | 11.6727i | −0.901464 | − | 0.520460i | −0.0237889 | − | 0.999717i | \(-0.507573\pi\) |
−0.877675 | + | 0.479257i | \(0.840906\pi\) | |||||||
\(504\) | −7.58859 | − | 0.699216i | −0.338023 | − | 0.0311455i | ||||
\(505\) | −22.0256 | − | 5.90175i | −0.980128 | − | 0.262625i | ||||
\(506\) | 1.02174 | 0.0454218 | ||||||||
\(507\) | −21.3903 | + | 7.03239i | −0.949977 | + | 0.312319i | ||||
\(508\) | 9.31325 | 0.413209 | ||||||||
\(509\) | 18.0113 | + | 4.82612i | 0.798338 | + | 0.213914i | 0.634854 | − | 0.772632i | \(-0.281060\pi\) |
0.163484 | + | 0.986546i | \(0.447727\pi\) | |||||||
\(510\) | 6.23523 | + | 3.99254i | 0.276101 | + | 0.176792i | ||||
\(511\) | 16.1182 | + | 9.30585i | 0.713028 | + | 0.411667i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −7.08463 | + | 0.882866i | −0.312794 | + | 0.0389795i | ||||
\(514\) | 0.0924504 | + | 0.345030i | 0.00407781 | + | 0.0152186i | ||||
\(515\) | 5.72793 | + | 5.72793i | 0.252403 | + | 0.252403i | ||||
\(516\) | 6.51910 | + | 0.299701i | 0.286987 | + | 0.0131936i | ||||
\(517\) | 3.93427 | − | 2.27145i | 0.173029 | − | 0.0998984i | ||||
\(518\) | −2.03477 | + | 7.59385i | −0.0894025 | + | 0.333655i | ||||
\(519\) | −16.5355 | − | 31.9441i | −0.725827 | − | 1.40219i | ||||
\(520\) | 4.72231 | − | 13.2732i | 0.207087 | − | 0.582070i | ||||
\(521\) | − | 20.1922i | − | 0.884637i | −0.896858 | − | 0.442318i | \(-0.854156\pi\) | ||
0.896858 | − | 0.442318i | \(-0.145844\pi\) | |||||||
\(522\) | −11.3593 | − | 13.6651i | −0.497185 | − | 0.598105i | ||||
\(523\) | −14.1118 | − | 24.4424i | −0.617066 | − | 1.06879i | −0.990018 | − | 0.140939i | \(-0.954988\pi\) |
0.372952 | − | 0.927850i | \(-0.378345\pi\) | |||||||
\(524\) | −0.458914 | + | 0.794862i | −0.0200478 | + | 0.0347237i | ||||
\(525\) | −13.6840 | + | 43.0534i | −0.597218 | + | 1.87901i | ||||
\(526\) | −2.07459 | + | 0.555884i | −0.0904563 | + | 0.0242377i | ||||
\(527\) | 9.71355 | − | 2.60274i | 0.423129 | − | 0.113377i | ||||
\(528\) | −0.305805 | + | 0.962144i | −0.0133085 | + | 0.0418719i | ||||
\(529\) | 9.96363 | − | 17.2575i | 0.433201 | − | 0.750327i | ||||
\(530\) | −5.94771 | − | 10.3017i | −0.258352 | − | 0.447478i | ||||
\(531\) | −16.2605 | − | 19.5611i | −0.705646 | − | 0.848880i | ||||
\(532\) | − | 3.49026i | − | 0.151322i | ||||||
\(533\) | 10.8435 | − | 15.7277i | 0.469684 | − | 0.681243i | ||||
\(534\) | 7.71547 | + | 14.9051i | 0.333881 | + | 0.645009i | ||||
\(535\) | −3.49765 | + | 13.0534i | −0.151217 | + | 0.564349i | ||||
\(536\) | 5.71696 | − | 3.30069i | 0.246935 | − | 0.142568i | ||||
\(537\) | 24.2238 | + | 1.11363i | 1.04533 | + | 0.0480569i | ||||
\(538\) | −17.3407 | − | 17.3407i | −0.747612 | − | 0.747612i | ||||
\(539\) | 0.0825429 | + | 0.308054i | 0.00355537 | + | 0.0132688i | ||||
\(540\) | 20.1475 | − | 2.51072i | 0.867010 | − | 0.108044i | ||||
\(541\) | −13.2334 | + | 13.2334i | −0.568947 | + | 0.568947i | −0.931833 | − | 0.362887i | \(-0.881791\pi\) |
0.362887 | + | 0.931833i | \(0.381791\pi\) | |||||||
\(542\) | −18.9885 | − | 10.9630i | −0.815627 | − | 0.470903i | ||||
\(543\) | 37.2546 | + | 23.8548i | 1.59875 | + | 1.02371i | ||||
\(544\) | 1.05672 | + | 0.283148i | 0.0453066 | + | 0.0121399i | ||||
\(545\) | 60.7298 | 2.60138 | ||||||||
\(546\) | 12.5377 | − | 9.71943i | 0.536564 | − | 0.415953i | ||||
\(547\) | −14.7212 | −0.629433 | −0.314717 | − | 0.949186i | \(-0.601909\pi\) | ||||
−0.314717 | + | 0.949186i | \(0.601909\pi\) | |||||||
\(548\) | 8.32493 | + | 2.23066i | 0.355624 | + | 0.0952890i | ||||
\(549\) | 27.9177 | + | 2.57235i | 1.19150 | + | 0.109785i | ||||
\(550\) | 5.18295 | + | 2.99238i | 0.221002 | + | 0.127595i | ||||
\(551\) | 5.75480 | − | 5.75480i | 0.245163 | − | 0.245163i | ||||
\(552\) | −2.04602 | − | 2.24321i | −0.0870845 | − | 0.0954773i | ||||
\(553\) | 8.61860 | + | 32.1651i | 0.366500 | + | 1.36780i | ||||
\(554\) | −13.1878 | − | 13.1878i | −0.560295 | − | 0.560295i | ||||
\(555\) | 0.961903 | − | 20.9233i | 0.0408305 | − | 0.888145i | ||||
\(556\) | −2.86936 | + | 1.65662i | −0.121688 | + | 0.0702565i | ||||
\(557\) | 3.19111 | − | 11.9094i | 0.135212 | − | 0.504616i | −0.864785 | − | 0.502142i | \(-0.832546\pi\) |
0.999997 | − | 0.00247467i | \(-0.000787714\pi\) | |||||||
\(558\) | 15.9213 | − | 22.5161i | 0.674001 | − | 0.953181i | ||||
\(559\) | −10.3430 | + | 8.80748i | −0.437464 | + | 0.372517i | ||||
\(560\) | 9.92570i | 0.419438i | ||||||||
\(561\) | 1.07884 | − | 0.236563i | 0.0455487 | − | 0.00998771i | ||||
\(562\) | 7.97489 | + | 13.8129i | 0.336400 | + | 0.582662i | ||||
\(563\) | −9.86628 | + | 17.0889i | −0.415814 | + | 0.720211i | −0.995514 | − | 0.0946194i | \(-0.969837\pi\) |
0.579700 | + | 0.814830i | \(0.303170\pi\) | |||||||
\(564\) | −12.8653 | − | 4.08907i | −0.541726 | − | 0.172181i | ||||
\(565\) | 41.1283 | − | 11.0203i | 1.73028 | − | 0.463628i | ||||
\(566\) | 4.55446 | − | 1.22036i | 0.191438 | − | 0.0512958i | ||||
\(567\) | 20.6302 | + | 9.85280i | 0.866385 | + | 0.413779i | ||||
\(568\) | −0.425242 | + | 0.736541i | −0.0178428 | + | 0.0309046i | ||||
\(569\) | 17.4503 | + | 30.2248i | 0.731555 | + | 1.26709i | 0.956218 | + | 0.292654i | \(0.0945384\pi\) |
−0.224663 | + | 0.974436i | \(0.572128\pi\) | |||||||
\(570\) | 1.99168 | + | 9.08302i | 0.0834223 | + | 0.380446i | ||||
\(571\) | 2.37582i | 0.0994248i | 0.998764 | + | 0.0497124i | \(0.0158305\pi\) | ||||
−0.998764 | + | 0.0497124i | \(0.984170\pi\) | |||||||
\(572\) | −0.901965 | − | 1.89820i | −0.0377131 | − | 0.0793677i | ||||
\(573\) | 36.3725 | − | 18.8278i | 1.51948 | − | 0.786542i | ||||
\(574\) | −3.48347 | + | 13.0005i | −0.145397 | + | 0.542630i | ||||
\(575\) | −15.5870 | + | 8.99915i | −0.650022 | + | 0.375291i | ||||
\(576\) | 2.72474 | − | 1.25529i | 0.113531 | − | 0.0523040i | ||||
\(577\) | 3.78848 | + | 3.78848i | 0.157716 | + | 0.157716i | 0.781554 | − | 0.623838i | \(-0.214427\pi\) |
−0.623838 | + | 0.781554i | \(0.714427\pi\) | |||||||
\(578\) | 4.09016 | + | 15.2647i | 0.170128 | + | 0.634927i | ||||
\(579\) | 13.5631 | − | 12.3708i | 0.563662 | − | 0.514114i | ||||
\(580\) | −16.3657 | + | 16.3657i | −0.679548 | + | 0.679548i | ||||
\(581\) | 16.0347 | + | 9.25764i | 0.665232 | + | 0.384072i | ||||
\(582\) | −0.572868 | + | 0.894660i | −0.0237461 | + | 0.0370849i | ||||
\(583\) | −1.71402 | − | 0.459269i | −0.0709873 | − | 0.0190210i | ||||
\(584\) | −7.32673 | −0.303182 | ||||||||
\(585\) | −27.0817 | + | 32.4483i | −1.11969 | + | 1.34157i | ||||
\(586\) | −21.3553 | −0.882179 | ||||||||
\(587\) | −9.81579 | − | 2.63013i | −0.405141 | − | 0.108557i | 0.0504929 | − | 0.998724i | \(-0.483921\pi\) |
−0.455634 | + | 0.890167i | \(0.650587\pi\) | |||||||
\(588\) | 0.511037 | − | 0.798098i | 0.0210748 | − | 0.0329130i | ||||
\(589\) | 10.9378 | + | 6.31493i | 0.450683 | + | 0.260202i | ||||
\(590\) | −23.4269 | + | 23.4269i | −0.964471 | + | 0.964471i | ||||
\(591\) | 4.43768 | − | 4.04759i | 0.182542 | − | 0.166495i | ||||
\(592\) | −0.801012 | − | 2.98942i | −0.0329214 | − | 0.122864i | ||||
\(593\) | 9.76893 | + | 9.76893i | 0.401162 | + | 0.401162i | 0.878642 | − | 0.477481i | \(-0.158450\pi\) |
−0.477481 | + | 0.878642i | \(0.658450\pi\) | |||||||
\(594\) | 1.86036 | − | 2.39003i | 0.0763313 | − | 0.0980639i | ||||
\(595\) | 9.40393 | − | 5.42936i | 0.385523 | − | 0.222582i | ||||
\(596\) | −2.03304 | + | 7.58742i | −0.0832766 | + | 0.310793i | ||||
\(597\) | −4.74998 | + | 2.45877i | −0.194404 | + | 0.100631i | ||||
\(598\) | 6.30003 | + | 0.505159i | 0.257627 | + | 0.0206575i | ||||
\(599\) | − | 35.2538i | − | 1.44043i | −0.693750 | − | 0.720216i | \(-0.744043\pi\) | ||
0.693750 | − | 0.720216i | \(-0.255957\pi\) | |||||||
\(600\) | −3.80910 | − | 17.3713i | −0.155506 | − | 0.709180i | ||||
\(601\) | −4.57192 | − | 7.91880i | −0.186493 | − | 0.323015i | 0.757586 | − | 0.652736i | \(-0.226379\pi\) |
−0.944078 | + | 0.329721i | \(0.893045\pi\) | |||||||
\(602\) | 4.78554 | − | 8.28880i | 0.195044 | − | 0.337826i | ||||
\(603\) | −19.5189 | + | 3.34892i | −0.794872 | + | 0.136378i | ||||
\(604\) | 14.0154 | − | 3.75542i | 0.570279 | − | 0.152806i | ||||
\(605\) | −40.2343 | + | 10.7808i | −1.63576 | + | 0.438300i | ||||
\(606\) | 9.63301 | + | 3.06173i | 0.391314 | + | 0.124374i | ||||
\(607\) | 9.96393 | − | 17.2580i | 0.404423 | − | 0.700482i | −0.589831 | − | 0.807527i | \(-0.700806\pi\) |
0.994254 | + | 0.107045i | \(0.0341389\pi\) | |||||||
\(608\) | 0.686992 | + | 1.18990i | 0.0278612 | + | 0.0482570i | ||||
\(609\) | −25.4567 | + | 5.58203i | −1.03156 | + | 0.226195i | ||||
\(610\) | − | 36.5157i | − | 1.47848i | ||||||
\(611\) | 25.3817 | − | 12.0606i | 1.02683 | − | 0.487920i | ||||
\(612\) | −2.67974 | − | 1.89486i | −0.108322 | − | 0.0765953i | ||||
\(613\) | −3.88890 | + | 14.5136i | −0.157071 | + | 0.586198i | 0.841848 | + | 0.539715i | \(0.181468\pi\) |
−0.998919 | + | 0.0464829i | \(0.985199\pi\) | |||||||
\(614\) | −19.8726 | + | 11.4735i | −0.801994 | + | 0.463032i | ||||
\(615\) | 1.64676 | − | 35.8202i | 0.0664036 | − | 1.44441i | ||||
\(616\) | 1.04698 | + | 1.04698i | 0.0421840 | + | 0.0421840i | ||||
\(617\) | 2.63629 | + | 9.83876i | 0.106133 | + | 0.396094i | 0.998471 | − | 0.0552736i | \(-0.0176031\pi\) |
−0.892338 | + | 0.451367i | \(0.850936\pi\) | |||||||
\(618\) | −2.41978 | − | 2.65298i | −0.0973377 | − | 0.106719i | ||||
\(619\) | 18.1131 | − | 18.1131i | 0.728027 | − | 0.728027i | −0.242199 | − | 0.970226i | \(-0.577869\pi\) |
0.970226 | + | 0.242199i | \(0.0778688\pi\) | |||||||
\(620\) | −31.1052 | − | 17.9586i | −1.24922 | − | 0.721235i | ||||
\(621\) | 3.42732 | + | 8.43903i | 0.137534 | + | 0.338647i | ||||
\(622\) | 31.7272 | + | 8.50128i | 1.27215 | + | 0.340870i | ||||
\(623\) | 24.6151 | 0.986185 | ||||||||
\(624\) | −2.36129 | + | 5.78138i | −0.0945271 | + | 0.231440i | ||||
\(625\) | −29.0857 | −1.16343 | ||||||||
\(626\) | 10.6859 | + | 2.86328i | 0.427095 | + | 0.114440i | ||||
\(627\) | 1.16818 | + | 0.748005i | 0.0466525 | + | 0.0298725i | ||||
\(628\) | −5.81577 | − | 3.35773i | −0.232074 | − | 0.133988i | ||||
\(629\) | −2.39412 | + | 2.39412i | −0.0954596 | + | 0.0954596i | ||||
\(630\) | 10.3134 | − | 27.9340i | 0.410895 | − | 1.11292i | ||||
\(631\) | −5.19785 | − | 19.3987i | −0.206923 | − | 0.772248i | −0.988855 | − | 0.148884i | \(-0.952432\pi\) |
0.781931 | − | 0.623364i | \(-0.214235\pi\) | |||||||
\(632\) | −9.26936 | − | 9.26936i | −0.368716 | − | 0.368716i | ||||
\(633\) | 8.57846 | + | 0.394376i | 0.340963 | + | 0.0156750i | ||||
\(634\) | −21.4942 | + | 12.4097i | −0.853645 | + | 0.492852i | ||||
\(635\) | −9.41853 | + | 35.1504i | −0.373763 | + | 1.39490i | ||||
\(636\) | 2.42398 | + | 4.68278i | 0.0961173 | + | 0.185684i | ||||
\(637\) | 0.356653 | + | 1.94027i | 0.0141311 | + | 0.0768763i | ||||
\(638\) | 3.45256i | 0.136688i | ||||||||
\(639\) | 1.96207 | − | 1.63101i | 0.0776184 | − | 0.0645216i | ||||
\(640\) | −1.95369 | − | 3.38389i | −0.0772263 | − | 0.133760i | ||||
\(641\) | −22.3417 | + | 38.6969i | −0.882443 | + | 1.52844i | −0.0338257 | + | 0.999428i | \(0.510769\pi\) |
−0.848617 | + | 0.529008i | \(0.822564\pi\) | |||||||
\(642\) | 1.81452 | − | 5.70897i | 0.0716136 | − | 0.225315i | ||||
\(643\) | 8.68244 | − | 2.32645i | 0.342402 | − | 0.0917463i | −0.0835204 | − | 0.996506i | \(-0.526616\pi\) |
0.425922 | + | 0.904760i | \(0.359950\pi\) | |||||||
\(644\) | −4.30112 | + | 1.15248i | −0.169488 | + | 0.0454142i | ||||
\(645\) | −7.72393 | + | 24.3015i | −0.304130 | + | 0.956872i | ||||
\(646\) | 0.751569 | − | 1.30176i | 0.0295701 | − | 0.0512169i | ||||
\(647\) | −18.9869 | − | 32.8862i | −0.746451 | − | 1.29289i | −0.949514 | − | 0.313725i | \(-0.898423\pi\) |
0.203063 | − | 0.979166i | \(-0.434910\pi\) | |||||||
\(648\) | −8.97261 | + | 0.701625i | −0.352477 | + | 0.0275624i | ||||
\(649\) | 4.94222i | 0.193999i | ||||||||
\(650\) | 30.4786 | + | 21.0135i | 1.19547 | + | 0.824217i | ||||
\(651\) | −18.5921 | − | 35.9172i | −0.728682 | − | 1.40771i | ||||
\(652\) | 0.407550 | − | 1.52100i | 0.0159609 | − | 0.0595668i | ||||
\(653\) | 16.0116 | − | 9.24428i | 0.626581 | − | 0.361757i | −0.152846 | − | 0.988250i | \(-0.548844\pi\) |
0.779427 | + | 0.626493i | \(0.215510\pi\) | |||||||
\(654\) | −26.8917 | − | 1.23629i | −1.05155 | − | 0.0483426i | ||||
\(655\) | −2.53590 | − | 2.53590i | −0.0990857 | − | 0.0990857i | ||||
\(656\) | −1.37131 | − | 5.11781i | −0.0535408 | − | 0.199817i | ||||
\(657\) | 20.6197 | + | 7.61290i | 0.804452 | + | 0.297008i | ||||
\(658\) | −13.9997 | + | 13.9997i | −0.545763 | + | 0.545763i | ||||
\(659\) | 0.644195 | + | 0.371926i | 0.0250943 | + | 0.0144882i | 0.512495 | − | 0.858690i | \(-0.328721\pi\) |
−0.487400 | + | 0.873179i | \(0.662055\pi\) | |||||||
\(660\) | −3.32210 | − | 2.12720i | −0.129313 | − | 0.0828012i | ||||
\(661\) | 27.0849 | + | 7.25737i | 1.05348 | + | 0.282279i | 0.743689 | − | 0.668526i | \(-0.233075\pi\) |
0.309790 | + | 0.950805i | \(0.399741\pi\) | |||||||
\(662\) | 4.62395 | 0.179715 | ||||||||
\(663\) | 6.76909 | − | 0.925255i | 0.262890 | − | 0.0359339i | ||||
\(664\) | −7.28877 | −0.282859 | ||||||||
\(665\) | 13.1731 | + | 3.52971i | 0.510829 | + | 0.136876i | ||||
\(666\) | −0.851879 | + | 9.24545i | −0.0330097 | + | 0.358254i | ||||
\(667\) | −8.99201 | − | 5.19154i | −0.348172 | − | 0.201017i | ||||
\(668\) | 17.2850 | − | 17.2850i | 0.668775 | − | 0.668775i | ||||
\(669\) | −22.2517 | − | 24.3963i | −0.860302 | − | 0.943214i | ||||
\(670\) | 6.67600 | + | 24.9152i | 0.257916 | + | 0.962556i | ||||
\(671\) | −3.85174 | − | 3.85174i | −0.148695 | − | 0.148695i | ||||
\(672\) | 0.202059 | − | 4.39519i | 0.00779461 | − | 0.169548i | ||||
\(673\) | 23.9347 | − | 13.8187i | 0.922615 | − | 0.532672i | 0.0381465 | − | 0.999272i | \(-0.487855\pi\) |
0.884468 | + | 0.466600i | \(0.154521\pi\) | |||||||
\(674\) | −2.01474 | + | 7.51911i | −0.0776049 | + | 0.289625i | ||||
\(675\) | −7.32980 | + | 52.8461i | −0.282124 | + | 2.03405i | ||||
\(676\) | −4.62302 | − | 12.1502i | −0.177808 | − | 0.467316i | ||||
\(677\) | 34.0927i | 1.31029i | 0.755504 | + | 0.655145i | \(0.227392\pi\) | ||||
−0.755504 | + | 0.655145i | \(0.772608\pi\) | |||||||
\(678\) | −18.4363 | + | 4.04264i | −0.708044 | + | 0.155256i | ||||
\(679\) | 0.779030 | + | 1.34932i | 0.0298964 | + | 0.0517821i | ||||
\(680\) | −2.13734 | + | 3.70198i | −0.0819631 | + | 0.141964i | ||||
\(681\) | −8.84802 | − | 2.81223i | −0.339057 | − | 0.107765i | ||||
\(682\) | −5.17533 | + | 1.38672i | −0.198174 | + | 0.0531004i | ||||
\(683\) | −22.5100 | + | 6.03154i | −0.861322 | + | 0.230790i | −0.662331 | − | 0.749211i | \(-0.730433\pi\) |
−0.198990 | + | 0.980001i | \(0.563766\pi\) | |||||||
\(684\) | −0.697030 | − | 4.06259i | −0.0266516 | − | 0.155337i | ||||
\(685\) | −16.8381 | + | 29.1644i | −0.643350 | + | 1.11431i | ||||
\(686\) | −9.58581 | − | 16.6031i | −0.365988 | − | 0.633910i | ||||
\(687\) | −1.46081 | − | 6.66198i | −0.0557333 | − | 0.254170i | ||||
\(688\) | 3.76778i | 0.143645i | ||||||||
\(689\) | −10.3415 | − | 3.67928i | −0.393981 | − | 0.140169i | ||||
\(690\) | 10.5356 | − | 5.45361i | 0.401082 | − | 0.207615i | ||||
\(691\) | 2.64500 | − | 9.87128i | 0.100621 | − | 0.375521i | −0.897191 | − | 0.441643i | \(-0.854396\pi\) |
0.997812 | + | 0.0661216i | \(0.0210625\pi\) | |||||||
\(692\) | 17.9850 | − | 10.3837i | 0.683689 | − | 0.394728i | ||||
\(693\) | −1.85865 | − | 4.03440i | −0.0706045 | − | 0.153254i | ||||
\(694\) | 7.66753 | + | 7.66753i | 0.291056 | + | 0.291056i | ||||
\(695\) | −3.35070 | − | 12.5050i | −0.127099 | − | 0.474341i | ||||
\(696\) | 7.58004 | − | 6.91372i | 0.287320 | − | 0.262064i | ||||
\(697\) | −4.09867 | + | 4.09867i | −0.155248 | + | 0.155248i | ||||
\(698\) | 13.3129 | + | 7.68623i | 0.503902 | + | 0.290928i | ||||
\(699\) | −3.58340 | + | 5.59628i | −0.135537 | + | 0.211671i | ||||
\(700\) | −25.1935 | − | 6.75058i | −0.952225 | − | 0.255148i | ||||
\(701\) | −31.9420 | −1.20643 | −0.603217 | − | 0.797577i | \(-0.706115\pi\) | ||||
−0.603217 | + | 0.797577i | \(0.706115\pi\) | |||||||
\(702\) | 12.6526 | − | 13.8171i | 0.477541 | − | 0.521493i | ||||
\(703\) | −4.25230 | −0.160379 | ||||||||
\(704\) | −0.563016 | − | 0.150860i | −0.0212195 | − | 0.00568574i | ||||
\(705\) | 28.4438 | − | 44.4214i | 1.07126 | − | 1.67301i | ||||
\(706\) | −1.61722 | − | 0.933704i | −0.0608650 | − | 0.0351404i | ||||
\(707\) | 10.4824 | − | 10.4824i | 0.394231 | − | 0.394231i | ||||
\(708\) | 10.8506 | − | 9.89675i | 0.407789 | − | 0.371943i | ||||
\(709\) | 1.92196 | + | 7.17283i | 0.0721805 | + | 0.269381i | 0.992579 | − | 0.121600i | \(-0.0388024\pi\) |
−0.920399 | + | 0.390981i | \(0.872136\pi\) | |||||||
\(710\) | −2.34983 | − | 2.34983i | −0.0881876 | − | 0.0881876i | ||||
\(711\) | 16.4555 | + | 35.7183i | 0.617129 | + | 1.33954i | ||||
\(712\) | −8.39184 | + | 4.84503i | −0.314497 | + | 0.181575i | ||||
\(713\) | 4.17038 | − | 15.5641i | 0.156182 | − | 0.582879i | ||||
\(714\) | −4.27467 | + | 2.21273i | −0.159976 | + | 0.0828095i | ||||
\(715\) | 8.07641 | − | 1.48458i | 0.302041 | − | 0.0555200i | ||||
\(716\) | 14.0004i | 0.523218i | ||||||||
\(717\) | 0.394286 | + | 1.79813i | 0.0147249 | + | 0.0671524i | ||||
\(718\) | −8.57975 | − | 14.8606i | −0.320193 | − | 0.554591i | ||||
\(719\) | −14.4593 | + | 25.0442i | −0.539240 | + | 0.933992i | 0.459705 | + | 0.888072i | \(0.347955\pi\) |
−0.998945 | + | 0.0459198i | \(0.985378\pi\) | |||||||
\(720\) | 1.98224 | + | 11.5533i | 0.0738736 | + | 0.430567i | ||||
\(721\) | −5.08682 | + | 1.36301i | −0.189443 | + | 0.0507612i | ||||
\(722\) | −16.5291 | + | 4.42896i | −0.615149 | + | 0.164829i | ||||
\(723\) | −46.1589 | − | 14.6710i | −1.71667 | − | 0.545621i | ||||
\(724\) | −12.7703 | + | 22.1188i | −0.474603 | + | 0.822037i | ||||
\(725\) | −30.4091 | − | 52.6700i | −1.12936 | − | 1.95612i | ||||
\(726\) | 18.0356 | − | 3.95476i | 0.669364 | − | 0.146775i | ||||
\(727\) | 13.5518i | 0.502608i | 0.967908 | + | 0.251304i | \(0.0808594\pi\) | ||||
−0.967908 | + | 0.251304i | \(0.919141\pi\) | |||||||
\(728\) | 5.93802 | + | 6.97330i | 0.220078 | + | 0.258448i | ||||
\(729\) | 25.9808 | + | 7.34847i | 0.962250 | + | 0.272166i | ||||
\(730\) | 7.40955 | − | 27.6528i | 0.274240 | − | 1.02348i | ||||
\(731\) | 3.56971 | − | 2.06098i | 0.132031 | − | 0.0762279i | ||||
\(732\) | −0.743357 | + | 16.1695i | −0.0274753 | + | 0.597642i | ||||
\(733\) | −13.9665 | − | 13.9665i | −0.515864 | − | 0.515864i | 0.400453 | − | 0.916317i | \(-0.368853\pi\) |
−0.916317 | + | 0.400453i | \(0.868853\pi\) | |||||||
\(734\) | 2.34563 | + | 8.75401i | 0.0865788 | + | 0.323116i | ||||
\(735\) | 2.49540 | + | 2.73589i | 0.0920441 | + | 0.100915i | ||||
\(736\) | 1.23950 | − | 1.23950i | 0.0456887 | − | 0.0456887i | ||||
\(737\) | 3.33228 | + | 1.92390i | 0.122746 | + | 0.0708676i | ||||
\(738\) | −1.45840 | + | 15.8280i | −0.0536843 | + | 0.582637i | ||||
\(739\) | −1.90239 | − | 0.509744i | −0.0699806 | − | 0.0187512i | 0.223659 | − | 0.974667i | \(-0.428200\pi\) |
−0.293639 | + | 0.955916i | \(0.594867\pi\) | |||||||
\(740\) | 12.0928 | 0.444541 | ||||||||
\(741\) | 6.83314 | + | 5.18975i | 0.251022 | + | 0.190650i | ||||
\(742\) | 7.73339 | 0.283902 | ||||||||
\(743\) | −5.78030 | − | 1.54883i | −0.212059 | − | 0.0568210i | 0.151226 | − | 0.988499i | \(-0.451678\pi\) |
−0.363284 | + | 0.931678i | \(0.618345\pi\) | |||||||
\(744\) | 13.4081 | + | 8.58545i | 0.491564 | + | 0.314758i | ||||
\(745\) | −26.5807 | − | 15.3464i | −0.973841 | − | 0.562247i | ||||
\(746\) | 5.35695 | − | 5.35695i | 0.196132 | − | 0.196132i | ||||
\(747\) | 20.5129 | + | 7.57346i | 0.750527 | + | 0.277098i | ||||
\(748\) | 0.165041 | + | 0.615940i | 0.00603448 | + | 0.0225210i | ||||
\(749\) | −6.21235 | − | 6.21235i | −0.226994 | − | 0.226994i | ||||
\(750\) | 35.6124 | + | 1.63720i | 1.30038 | + | 0.0597821i | ||||
\(751\) | −15.1590 | + | 8.75204i | −0.553159 | + | 0.319366i | −0.750395 | − | 0.660990i | \(-0.770137\pi\) |
0.197236 | + | 0.980356i | \(0.436803\pi\) | |||||||
\(752\) | 2.01722 | − | 7.52836i | 0.0735604 | − | 0.274531i | ||||
\(753\) | −12.0440 | − | 23.2673i | −0.438909 | − | 0.847906i | ||||
\(754\) | −1.70698 | + | 21.2884i | −0.0621646 | + | 0.775279i | ||||
\(755\) | 56.6953i | 2.06335i | ||||||||
\(756\) | −5.13552 | + | 12.1595i | −0.186777 | + | 0.442237i | ||||
\(757\) | −4.00168 | − | 6.93111i | −0.145443 | − | 0.251915i | 0.784095 | − | 0.620641i | \(-0.213128\pi\) |
−0.929538 | + | 0.368726i | \(0.879794\pi\) | |||||||
\(758\) | 6.03855 | − | 10.4591i | 0.219330 | − | 0.379891i | ||||
\(759\) | 0.536052 | − | 1.68656i | 0.0194575 | − | 0.0612183i | ||||
\(760\) | −5.18574 | + | 1.38951i | −0.188107 | + | 0.0504030i | ||||
\(761\) | 18.9310 | − | 5.07254i | 0.686247 | − | 0.183879i | 0.101185 | − | 0.994868i | \(-0.467737\pi\) |
0.585062 | + | 0.810988i | \(0.301070\pi\) | |||||||
\(762\) | 4.88617 | − | 15.3732i | 0.177007 | − | 0.556912i | ||||
\(763\) | −19.7407 | + | 34.1918i | −0.714660 | + | 1.23783i | ||||
\(764\) | 11.8231 | + | 20.4783i | 0.427747 | + | 0.740879i | ||||
\(765\) | 9.86170 | − | 8.19770i | 0.356551 | − | 0.296389i | ||||
\(766\) | 36.8323i | 1.33081i | ||||||||
\(767\) | −2.44349 | + | 30.4737i | −0.0882293 | + | 1.10034i | ||||
\(768\) | 0.796225 | + | 1.53819i | 0.0287313 | + | 0.0555046i | ||||
\(769\) | 11.1131 | − | 41.4747i | 0.400749 | − | 1.49561i | −0.411015 | − | 0.911629i | \(-0.634826\pi\) |
0.811764 | − | 0.583986i | \(-0.198508\pi\) | |||||||
\(770\) | −5.01036 | + | 2.89273i | −0.180561 | + | 0.104247i | ||||
\(771\) | 0.618038 | + | 0.0284129i | 0.0222581 | + | 0.00102327i | ||||
\(772\) | 7.49437 | + | 7.49437i | 0.269728 | + | 0.269728i | ||||
\(773\) | −2.39809 | − | 8.94981i | −0.0862535 | − | 0.321902i | 0.909295 | − | 0.416152i | \(-0.136622\pi\) |
−0.995549 | + | 0.0942495i | \(0.969955\pi\) | |||||||
\(774\) | 3.91494 | − | 10.6037i | 0.140720 | − | 0.381142i | ||||
\(775\) | 66.7377 | − | 66.7377i | 2.39729 | − | 2.39729i | ||||
\(776\) | −0.531177 | − | 0.306675i | −0.0190681 | − | 0.0110090i | ||||
\(777\) | 11.4675 | + | 7.34285i | 0.411394 | + | 0.263423i | ||||
\(778\) | 13.6208 | + | 3.64967i | 0.488328 | + | 0.130847i | ||||
\(779\) | −7.27984 | −0.260827 | ||||||||
\(780\) | −19.4323 | − | 14.7588i | −0.695788 | − | 0.528449i | ||||
\(781\) | −0.495728 | −0.0177385 | ||||||||
\(782\) | −1.85235 | − | 0.496336i | −0.0662400 | − | 0.0177489i | ||||
\(783\) | −28.5163 | + | 11.5813i | −1.01909 | + | 0.413881i | ||||
\(784\) | 0.473846 | + | 0.273575i | 0.0169231 | + | 0.00977053i | ||||
\(785\) | 18.5544 | − | 18.5544i | 0.662235 | − | 0.662235i | ||||
\(786\) | 1.07130 | + | 1.17454i | 0.0382118 | + | 0.0418946i | ||||
\(787\) | −11.0255 | − | 41.1479i | −0.393018 | − | 1.46676i | −0.825130 | − | 0.564943i | \(-0.808898\pi\) |
0.432112 | − | 0.901820i | \(-0.357769\pi\) | |||||||
\(788\) | 2.45207 | + | 2.45207i | 0.0873514 | + | 0.0873514i | ||||
\(789\) | −0.170841 | + | 3.71612i | −0.00608209 | + | 0.132297i | ||||
\(790\) | 44.3589 | − | 25.6106i | 1.57822 | − | 0.911186i | ||||
\(791\) | −7.16447 | + | 26.7382i | −0.254739 | + | 0.950699i | ||||
\(792\) | 1.42775 | + | 1.00957i | 0.0507330 | + | 0.0358736i | ||||
\(793\) | −21.8454 | − | 25.6541i | −0.775754 | − | 0.911004i | ||||
\(794\) | − | 7.85191i | − | 0.278654i | ||||||
\(795\) | −20.1253 | + | 4.41298i | −0.713771 | + | 0.156512i | ||||
\(796\) | −1.54402 | − | 2.67432i | −0.0547263 | − | 0.0947887i | ||||
\(797\) | −10.5161 | + | 18.2144i | −0.372499 | + | 0.645187i | −0.989949 | − | 0.141423i | \(-0.954832\pi\) |
0.617450 | + | 0.786610i | \(0.288166\pi\) | |||||||
\(798\) | −5.76130 | − | 1.83115i | −0.203948 | − | 0.0648222i | ||||
\(799\) | −8.23603 | + | 2.20684i | −0.291370 | + | 0.0780723i | ||||
\(800\) | 9.91775 | − | 2.65745i | 0.350645 | − | 0.0939551i | ||||
\(801\) | 28.6515 | − | 4.91582i | 1.01235 | − | 0.173692i | ||||
\(802\) | −10.9280 | + | 18.9279i | −0.385882 | + | 0.668368i | ||||
\(803\) | −2.13529 | − | 3.69844i | −0.0753529 | − | 0.130515i | ||||
\(804\) | −2.44899 | − | 11.1686i | −0.0863692 | − | 0.393885i | ||||
\(805\) | − | 17.3990i | − | 0.613233i | ||||||
\(806\) | −32.5966 | + | 5.99179i | −1.14817 | + | 0.211052i | ||||
\(807\) | −37.7218 | + | 19.5262i | −1.32787 | + | 0.687356i | ||||
\(808\) | −1.51041 | + | 5.63694i | −0.0531361 | + | 0.198307i | ||||
\(809\) | −23.4871 | + | 13.5603i | −0.825762 | + | 0.476754i | −0.852399 | − | 0.522891i | \(-0.824853\pi\) |
0.0266373 | + | 0.999645i | \(0.491520\pi\) | |||||||
\(810\) | 6.42594 | − | 34.5743i | 0.225784 | − | 1.21482i | ||||
\(811\) | 39.1597 | + | 39.1597i | 1.37508 | + | 1.37508i | 0.852726 | + | 0.522359i | \(0.174948\pi\) |
0.522359 | + | 0.852726i | \(0.325052\pi\) | |||||||
\(812\) | −3.89436 | − | 14.5339i | −0.136665 | − | 0.510041i | ||||
\(813\) | −28.0588 | + | 25.5923i | −0.984063 | + | 0.897560i | ||||
\(814\) | 1.27557 | − | 1.27557i | 0.0447088 | − | 0.0447088i | ||||
\(815\) | 5.32844 | + | 3.07638i | 0.186647 | + | 0.107761i | ||||
\(816\) | 1.02179 | − | 1.59576i | 0.0357700 | − | 0.0558627i | ||||
\(817\) | 5.00047 | + | 1.33987i | 0.174944 | + | 0.0468762i | ||||
\(818\) | 2.24149 | 0.0783720 | ||||||||
\(819\) | −9.46580 | − | 25.7950i | −0.330762 | − | 0.901350i | ||||
\(820\) | 20.7026 | 0.722968 | ||||||||
\(821\) | −8.30053 | − | 2.22412i | −0.289690 | − | 0.0776223i | 0.111047 | − | 0.993815i | \(-0.464579\pi\) |
−0.400738 | + | 0.916193i | \(0.631246\pi\) | |||||||
\(822\) | 8.04976 | − | 12.5715i | 0.280768 | − | 0.438481i | ||||
\(823\) | −7.37175 | − | 4.25608i | −0.256963 | − | 0.148358i | 0.365985 | − | 0.930621i | \(-0.380732\pi\) |
−0.622948 | + | 0.782263i | \(0.714065\pi\) | |||||||
\(824\) | 1.46593 | − | 1.46593i | 0.0510680 | − | 0.0510680i | ||||
\(825\) | 7.65868 | − | 6.98545i | 0.266641 | − | 0.243202i | ||||
\(826\) | −5.57464 | − | 20.8048i | −0.193967 | − | 0.723893i | ||||
\(827\) | 18.9976 | + | 18.9976i | 0.660613 | + | 0.660613i | 0.955524 | − | 0.294912i | \(-0.0952903\pi\) |
−0.294912 | + | 0.955524i | \(0.595290\pi\) | |||||||
\(828\) | −4.77626 | + | 2.20043i | −0.165987 | + | 0.0764703i | ||||
\(829\) | 14.3179 | − | 8.26645i | 0.497282 | − | 0.287106i | −0.230309 | − | 0.973118i | \(-0.573974\pi\) |
0.727590 | + | 0.686012i | \(0.240640\pi\) | |||||||
\(830\) | 7.37117 | − | 27.5096i | 0.255857 | − | 0.954871i | ||||
\(831\) | −28.6877 | + | 14.8499i | −0.995167 | + | 0.515136i | ||||
\(832\) | −3.39697 | − | 1.20856i | −0.117769 | − | 0.0418993i | ||||
\(833\) | − | 0.598582i | − | 0.0207396i | ||||||
\(834\) | 1.22916 | + | 5.60554i | 0.0425622 | + | 0.194104i | ||||
\(835\) | 47.7572 | + | 82.7179i | 1.65271 | + | 2.86257i | ||||
\(836\) | −0.400432 | + | 0.693568i | −0.0138492 | + | 0.0239876i | ||||
\(837\) | −28.8138 | − | 38.0939i | −0.995950 | − | 1.31672i | ||||
\(838\) | −32.2478 | + | 8.64077i | −1.11398 | + | 0.298490i | ||||
\(839\) | 40.0647 | − | 10.7353i | 1.38319 | − | 0.370623i | 0.510908 | − | 0.859635i | \(-0.329309\pi\) |
0.872277 | + | 0.489012i | \(0.162643\pi\) | |||||||
\(840\) | 16.3842 | + | 5.20750i | 0.565307 | + | 0.179676i | ||||
\(841\) | 3.04274 | − | 5.27017i | 0.104922 | − | 0.181730i | ||||
\(842\) | 1.59301 | + | 2.75917i | 0.0548986 | + | 0.0950872i | ||||
\(843\) | 26.9847 | − | 5.91708i | 0.929402 | − | 0.203795i | ||||
\(844\) | 4.95801i | 0.170662i | ||||||||
\(845\) | 50.5331 | − | 5.16081i | 1.73839 | − | 0.177537i | ||||
\(846\) | −13.4995 | + | 19.0912i | −0.464122 | + | 0.656368i | ||||
\(847\) | 7.00873 | − | 26.1570i | 0.240823 | − | 0.898763i | ||||
\(848\) | −2.63648 | + | 1.52217i | −0.0905371 | + | 0.0522716i | ||||
\(849\) | 0.375057 | − | 8.15822i | 0.0128719 | − | 0.279990i | ||||
\(850\) | −7.94276 | − | 7.94276i | −0.272435 | − | 0.272435i | ||||
\(851\) | 1.40411 | + | 5.24021i | 0.0481323 | + | 0.179632i | ||||
\(852\) | 0.992692 | + | 1.08836i | 0.0340091 | + | 0.0372867i | ||||
\(853\) | −13.7858 | + | 13.7858i | −0.472018 | + | 0.472018i | −0.902567 | − | 0.430549i | \(-0.858320\pi\) |
0.430549 | + | 0.902567i | \(0.358320\pi\) | |||||||
\(854\) | 20.5589 | + | 11.8697i | 0.703513 | + | 0.406173i | ||||
\(855\) | 16.0381 | + | 1.47775i | 0.548491 | + | 0.0505381i | ||||
\(856\) | 3.34071 | + | 0.895141i | 0.114183 | + | 0.0305953i | ||||
\(857\) | −41.5499 | −1.41932 | −0.709659 | − | 0.704545i | \(-0.751151\pi\) | ||||
−0.709659 | + | 0.704545i | \(0.751151\pi\) | |||||||
\(858\) | −3.60653 | + | 0.492971i | −0.123125 | + | 0.0168298i | ||||
\(859\) | 44.2270 | 1.50900 | 0.754502 | − | 0.656298i | \(-0.227878\pi\) | ||||
0.754502 | + | 0.656298i | \(0.227878\pi\) | |||||||
\(860\) | −14.2205 | − | 3.81037i | −0.484915 | − | 0.129933i | ||||
\(861\) | 19.6321 | + | 12.5708i | 0.669059 | + | 0.428411i | ||||
\(862\) | −18.7789 | − | 10.8420i | −0.639613 | − | 0.369281i | ||||
\(863\) | 14.7459 | − | 14.7459i | 0.501956 | − | 0.501956i | −0.410089 | − | 0.912045i | \(-0.634502\pi\) |
0.912045 | + | 0.410089i | \(0.134502\pi\) | |||||||
\(864\) | −0.642559 | − | 5.15627i | −0.0218603 | − | 0.175420i | ||||
\(865\) | 21.0021 | + | 78.3809i | 0.714093 | + | 2.66503i | ||||
\(866\) | 21.2499 | + | 21.2499i | 0.722103 | + | 0.722103i | ||||
\(867\) | 27.3430 | + | 1.25703i | 0.928617 | + | 0.0426911i | ||||
\(868\) | 20.2220 | − | 11.6752i | 0.686378 | − | 0.396281i | ||||
\(869\) | 1.97760 | − | 7.38050i | 0.0670855 | − | 0.250366i | ||||
\(870\) | 18.4283 | + | 35.6007i | 0.624778 | + | 1.20698i | ||||
\(871\) | 19.5956 | + | 13.5102i | 0.663973 | + | 0.457777i | ||||
\(872\) | − | 15.5423i | − | 0.526330i | ||||||
\(873\) | 1.17624 | + | 1.41500i | 0.0398098 | + | 0.0478906i | ||||
\(874\) | −1.20424 | − | 2.08581i | −0.0407341 | − | 0.0705535i | ||||
\(875\) | 26.1424 | − | 45.2799i | 0.883773 | − | 1.53074i | ||||
\(876\) | −3.84395 | + | 12.0941i | −0.129875 | + | 0.408622i | ||||
\(877\) | −43.6140 | + | 11.6863i | −1.47274 | + | 0.394620i | −0.903870 | − | 0.427808i | \(-0.859286\pi\) |
−0.568870 | + | 0.822427i | \(0.692619\pi\) | |||||||
\(878\) | −20.1356 | + | 5.39532i | −0.679543 | + | 0.182083i | ||||
\(879\) | −11.2040 | + | 35.2508i | −0.377902 | + | 1.18898i | ||||
\(880\) | 1.13876 | − | 1.97239i | 0.0383876 | − | 0.0664893i | ||||
\(881\) | 15.5665 | + | 26.9620i | 0.524448 | + | 0.908371i | 0.999595 | + | 0.0284646i | \(0.00906178\pi\) |
−0.475146 | + | 0.879907i | \(0.657605\pi\) | |||||||
\(882\) | −1.04929 | − | 1.26228i | −0.0353314 | − | 0.0425031i | ||||
\(883\) | − | 45.7983i | − | 1.54123i | −0.637298 | − | 0.770617i | \(-0.719948\pi\) | ||
0.637298 | − | 0.770617i | \(-0.280052\pi\) | |||||||
\(884\) | 0.713111 | + | 3.87948i | 0.0239845 | + | 0.130481i | ||||
\(885\) | 26.3795 | + | 50.9612i | 0.886737 | + | 1.71304i | ||||
\(886\) | −3.37405 | + | 12.5921i | −0.113353 | + | 0.423040i | ||||
\(887\) | 25.6110 | − | 14.7865i | 0.859933 | − | 0.496482i | −0.00405708 | − | 0.999992i | \(-0.501291\pi\) |
0.863990 | + | 0.503509i | \(0.167958\pi\) | |||||||
\(888\) | −5.35482 | − | 0.246176i | −0.179696 | − | 0.00826113i | ||||
\(889\) | −16.7287 | − | 16.7287i | −0.561062 | − | 0.561062i | ||||
\(890\) | −9.79960 | − | 36.5726i | −0.328483 | − | 1.22592i | ||||
\(891\) | −2.96914 | − | 4.32477i | −0.0994698 | − | 0.144885i | ||||
\(892\) | 13.4803 | − | 13.4803i | 0.451355 | − | 0.451355i | ||||
\(893\) | −9.27404 | − | 5.35437i | −0.310344 | − | 0.179177i | ||||
\(894\) | 11.4578 | + | 7.33662i | 0.383205 | + | 0.245373i | ||||
\(895\) | −52.8407 | − | 14.1586i | −1.76627 | − | 0.473271i | ||||
\(896\) | 2.54025 | 0.0848637 | ||||||||
\(897\) | 4.13915 | − | 10.1343i | 0.138202 | − | 0.338374i | ||||
\(898\) | 19.0404 | 0.635385 | ||||||||
\(899\) | 52.5926 | + | 14.0921i | 1.75406 | + | 0.469999i | ||||
\(900\) | −30.6729 | − | 2.82621i | −1.02243 | − | 0.0942071i | ||||
\(901\) | 2.88431 | + | 1.66526i | 0.0960903 | + | 0.0554778i | ||||
\(902\) | 2.18375 | − | 2.18375i | 0.0727109 | − | 0.0727109i | ||||
\(903\) | −11.1714 | − | 12.2481i | −0.371762 | − | 0.407591i | ||||
\(904\) | −2.82038 | − | 10.5258i | −0.0938045 | − | 0.350083i | ||||
\(905\) | −70.5668 | − | 70.5668i | −2.34572 | − | 2.34572i | ||||
\(906\) | 1.15416 | − | 25.1052i | 0.0383443 | − | 0.834065i | ||||
\(907\) | −50.3199 | + | 29.0522i | −1.67085 | + | 0.964663i | −0.703679 | + | 0.710518i | \(0.748461\pi\) |
−0.967166 | + | 0.254145i | \(0.918206\pi\) | |||||||
\(908\) | 1.38733 | − | 5.17758i | 0.0460401 | − | 0.171824i | ||||
\(909\) | 10.1079 | − | 14.2947i | 0.335257 | − | 0.474125i | ||||
\(910\) | −32.3240 | + | 15.3594i | −1.07153 | + | 0.509159i | ||||
\(911\) | − | 52.8673i | − | 1.75157i | −0.482701 | − | 0.875785i | \(-0.660344\pi\) | ||
0.482701 | − | 0.875785i | \(-0.339656\pi\) | |||||||
\(912\) | 2.32458 | − | 0.509723i | 0.0769745 | − | 0.0168786i | ||||
\(913\) | −2.12423 | − | 3.67928i | −0.0703018 | − | 0.121766i | ||||
\(914\) | −10.6301 | + | 18.4119i | −0.351614 | + | 0.609013i | ||||
\(915\) | −60.2758 | − | 19.1579i | −1.99266 | − | 0.633340i | ||||
\(916\) | 3.80351 | − | 1.01915i | 0.125671 | − | 0.0336735i | ||||
\(917\) | 2.25207 | − | 0.603439i | 0.0743697 | − | 0.0199273i | ||||
\(918\) | −4.53373 | + | 3.42926i | −0.149636 | + | 0.113182i | ||||
\(919\) | 3.07508 | − | 5.32620i | 0.101438 | − | 0.175695i | −0.810840 | − | 0.585269i | \(-0.800989\pi\) |
0.912277 | + | 0.409573i | \(0.134322\pi\) | |||||||
\(920\) | 3.42466 | + | 5.93169i | 0.112908 | + | 0.195562i | ||||
\(921\) | 8.51290 | + | 38.8229i | 0.280510 | + | 1.27926i | ||||
\(922\) | − | 1.52692i | − | 0.0502864i | ||||||
\(923\) | −3.05665 | − | 0.245094i | −0.100611 | − | 0.00806735i | ||||
\(924\) | 2.27752 | − | 1.17893i | 0.0749250 | − | 0.0387840i | ||||
\(925\) | −8.22447 | + | 30.6942i | −0.270419 | + | 1.00922i | ||||
\(926\) | −26.1204 | + | 15.0806i | −0.858369 | + | 0.495579i | ||||
\(927\) | −5.64876 | + | 2.60239i | −0.185530 | + | 0.0854738i | ||||
\(928\) | 4.18840 | + | 4.18840i | 0.137491 | + | 0.137491i | ||||
\(929\) | −9.26432 | − | 34.5749i | −0.303952 | − | 1.13437i | −0.933843 | − | 0.357682i | \(-0.883567\pi\) |
0.629891 | − | 0.776684i | \(-0.283100\pi\) | |||||||
\(930\) | −45.9632 | + | 41.9228i | −1.50719 | + | 1.37470i | ||||
\(931\) | 0.531585 | − | 0.531585i | 0.0174220 | − | 0.0174220i | ||||
\(932\) | −3.32262 | − | 1.91831i | −0.108836 | − | 0.0628364i | ||||
\(933\) | 30.6785 | − | 47.9113i | 1.00437 | − | 1.56855i | ||||
\(934\) | −10.9087 | − | 2.92297i | −0.356943 | − | 0.0956426i | ||||
\(935\) | −2.49161 | −0.0814844 | ||||||||
\(936\) | 8.30436 | + | 6.93092i | 0.271437 | + | 0.226544i | ||||
\(937\) | −13.8585 | −0.452737 | −0.226369 | − | 0.974042i | \(-0.572685\pi\) | ||||
−0.226369 | + | 0.974042i | \(0.572685\pi\) | |||||||
\(938\) | −16.1977 | − | 4.34017i | −0.528874 | − | 0.141711i | ||||
\(939\) | 10.3327 | − | 16.1368i | 0.337195 | − | 0.526605i | ||||
\(940\) | 26.3738 | + | 15.2269i | 0.860219 | + | 0.496647i | ||||
\(941\) | −10.8257 | + | 10.8257i | −0.352908 | + | 0.352908i | −0.861190 | − | 0.508283i | \(-0.830281\pi\) |
0.508283 | + | 0.861190i | \(0.330281\pi\) | |||||||
\(942\) | −8.59377 | + | 7.83834i | −0.280000 | + | 0.255387i | ||||
\(943\) | 2.40380 | + | 8.97112i | 0.0782786 | + | 0.292140i | ||||
\(944\) | 5.99556 | + | 5.99556i | 0.195139 | + | 0.195139i | ||||
\(945\) | −40.6993 | − | 31.6796i | −1.32395 | − | 1.03054i | ||||
\(946\) | −1.90192 | + | 1.09808i | −0.0618369 | + | 0.0357015i | ||||
\(947\) | −5.50870 | + | 20.5588i | −0.179009 | + | 0.668070i | 0.816825 | + | 0.576885i | \(0.195732\pi\) |
−0.995834 | + | 0.0911846i | \(0.970935\pi\) | |||||||
\(948\) | −20.1639 | + | 10.4376i | −0.654893 | + | 0.338998i | ||||
\(949\) | −11.3376 | − | 23.8602i | −0.368036 | − | 0.774536i | ||||
\(950\) | − | 14.1075i | − | 0.457708i | ||||||
\(951\) | 9.20755 | + | 41.9908i | 0.298575 | + | 1.36165i | ||||
\(952\) | −1.38951 | − | 2.40671i | −0.0450344 | − | 0.0780019i | ||||
\(953\) | 10.3217 | − | 17.8776i | 0.334351 | − | 0.579114i | −0.649009 | − | 0.760781i | \(-0.724816\pi\) |
0.983360 | + | 0.181667i | \(0.0581494\pi\) | |||||||
\(954\) | 9.00151 | − | 1.54441i | 0.291435 | − | 0.0500023i | ||||
\(955\) | −89.2468 | + | 23.9136i | −2.88796 | + | 0.773826i | ||||
\(956\) | −1.02660 | + | 0.275077i | −0.0332027 | + | 0.00889663i | ||||
\(957\) | 5.69907 | + | 1.81138i | 0.184225 | + | 0.0585535i | ||||
\(958\) | 14.5375 | − | 25.1797i | 0.469686 | − | 0.813519i | ||||
\(959\) | −10.9467 | − | 18.9602i | −0.353487 | − | 0.612257i | ||||
\(960\) | −6.61072 | + | 1.44957i | −0.213360 | + | 0.0467846i | ||||
\(961\) | 53.4956i | 1.72566i | ||||||||
\(962\) | 8.49582 | − | 7.23451i | 0.273916 | − | 0.233250i | ||||
\(963\) | −8.47170 | − | 5.99040i | −0.272997 | − | 0.193038i | ||||
\(964\) | 7.23751 | − | 27.0107i | 0.233104 | − | 0.869957i | ||||
\(965\) | −35.8646 | + | 20.7065i | −1.15452 | + | 0.666565i | ||||
\(966\) | −0.354194 | + | 7.70443i | −0.0113960 | + | 0.247886i | ||||
\(967\) | −3.56933 | − | 3.56933i | −0.114782 | − | 0.114782i | 0.647383 | − | 0.762165i | \(-0.275863\pi\) |
−0.762165 | + | 0.647383i | \(0.775863\pi\) | |||||||
\(968\) | 2.75908 | + | 10.2970i | 0.0886801 | + | 0.330959i | ||||
\(969\) | −1.75447 | − | 1.92356i | −0.0563618 | − | 0.0617938i | ||||
\(970\) | 1.69465 | − | 1.69465i | 0.0544118 | − | 0.0544118i | ||||
\(971\) | −32.0913 | − | 18.5279i | −1.02986 | − | 0.594590i | −0.112916 | − | 0.993605i | \(-0.536019\pi\) |
−0.916945 | + | 0.399014i | \(0.869352\pi\) | |||||||
\(972\) | −3.54930 | + | 15.1790i | −0.113844 | + | 0.486867i | ||||
\(973\) | 8.12969 | + | 2.17834i | 0.260626 | + | 0.0698345i | ||||
\(974\) | 2.53376 | 0.0811869 | ||||||||
\(975\) | 50.6770 | − | 39.2857i | 1.62296 | − | 1.25815i | ||||
\(976\) | −9.34533 | −0.299137 | ||||||||
\(977\) | 47.1501 | + | 12.6338i | 1.50847 | + | 0.404192i | 0.915925 | − | 0.401349i | \(-0.131458\pi\) |
0.592540 | + | 0.805541i | \(0.298125\pi\) | |||||||
\(978\) | −2.29686 | − | 1.47072i | −0.0734454 | − | 0.0470285i | ||||
\(979\) | −4.89141 | − | 2.82406i | −0.156330 | − | 0.0902573i | ||||
\(980\) | −1.51174 | + | 1.51174i | −0.0482907 | + | 0.0482907i | ||||
\(981\) | −16.1494 | + | 43.7410i | −0.515610 | + | 1.39654i | ||||
\(982\) | −9.55433 | − | 35.6572i | −0.304891 | − | 1.13787i | ||||
\(983\) | 33.9032 | + | 33.9032i | 1.08134 | + | 1.08134i | 0.996384 | + | 0.0849587i | \(0.0270758\pi\) |
0.0849587 | + | 0.996384i | \(0.472924\pi\) | |||||||
\(984\) | −9.16732 | − | 0.421448i | −0.292244 | − | 0.0134353i | ||||
\(985\) | −11.7345 | + | 6.77491i | −0.373892 | + | 0.215867i | ||||
\(986\) | 1.67717 | − | 6.25929i | 0.0534120 | − | 0.199336i | ||||
\(987\) | 15.7641 | + | 30.4538i | 0.501776 | + | 0.969357i | ||||
\(988\) | −2.81197 | + | 4.07856i | −0.0894606 | + | 0.129756i | ||||
\(989\) | − | 6.60462i | − | 0.210015i | ||||||
\(990\) | −5.25426 | + | 4.36769i | −0.166991 | + | 0.138814i | ||||
\(991\) | 24.3508 | + | 42.1768i | 0.773529 | + | 1.33979i | 0.935618 | + | 0.353015i | \(0.114844\pi\) |
−0.162089 | + | 0.986776i | \(0.551823\pi\) | |||||||
\(992\) | −4.59607 | + | 7.96063i | −0.145925 | + | 0.252750i | ||||
\(993\) | 2.42595 | − | 7.63267i | 0.0769850 | − | 0.242215i | ||||
\(994\) | 2.08682 | − | 0.559163i | 0.0661901 | − | 0.0177356i | ||||
\(995\) | 11.6550 | − | 3.12294i | 0.369488 | − | 0.0990039i | ||||
\(996\) | −3.82404 | + | 12.0314i | −0.121169 | + | 0.381231i | ||||
\(997\) | 2.76696 | − | 4.79252i | 0.0876306 | − | 0.151781i | −0.818879 | − | 0.573967i | \(-0.805404\pi\) |
0.906509 | + | 0.422186i | \(0.138737\pi\) | |||||||
\(998\) | 15.8011 | + | 27.3682i | 0.500174 | + | 0.866326i | ||||
\(999\) | 14.8143 | + | 6.25678i | 0.468705 | + | 0.197956i |
(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 | 78.2.k.a.11.4 | yes | 16 | |
3.2 | odd | 2 | inner | 78.2.k.a.11.1 | ✓ | 16 | |
4.3 | odd | 2 | 624.2.cn.d.401.2 | 16 | |||
12.11 | even | 2 | 624.2.cn.d.401.4 | 16 | |||
13.2 | odd | 12 | 1014.2.g.c.239.7 | 16 | |||
13.3 | even | 3 | 1014.2.g.c.437.3 | 16 | |||
13.6 | odd | 12 | inner | 78.2.k.a.71.1 | yes | 16 | |
13.10 | even | 6 | 1014.2.g.d.437.7 | 16 | |||
13.11 | odd | 12 | 1014.2.g.d.239.3 | 16 | |||
39.2 | even | 12 | 1014.2.g.c.239.3 | 16 | |||
39.11 | even | 12 | 1014.2.g.d.239.7 | 16 | |||
39.23 | odd | 6 | 1014.2.g.d.437.3 | 16 | |||
39.29 | odd | 6 | 1014.2.g.c.437.7 | 16 | |||
39.32 | even | 12 | inner | 78.2.k.a.71.4 | yes | 16 | |
52.19 | even | 12 | 624.2.cn.d.305.4 | 16 | |||
156.71 | odd | 12 | 624.2.cn.d.305.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
78.2.k.a.11.1 | ✓ | 16 | 3.2 | odd | 2 | inner | |
78.2.k.a.11.4 | yes | 16 | 1.1 | even | 1 | trivial | |
78.2.k.a.71.1 | yes | 16 | 13.6 | odd | 12 | inner | |
78.2.k.a.71.4 | yes | 16 | 39.32 | even | 12 | inner | |
624.2.cn.d.305.2 | 16 | 156.71 | odd | 12 | |||
624.2.cn.d.305.4 | 16 | 52.19 | even | 12 | |||
624.2.cn.d.401.2 | 16 | 4.3 | odd | 2 | |||
624.2.cn.d.401.4 | 16 | 12.11 | even | 2 | |||
1014.2.g.c.239.3 | 16 | 39.2 | even | 12 | |||
1014.2.g.c.239.7 | 16 | 13.2 | odd | 12 | |||
1014.2.g.c.437.3 | 16 | 13.3 | even | 3 | |||
1014.2.g.c.437.7 | 16 | 39.29 | odd | 6 | |||
1014.2.g.d.239.3 | 16 | 13.11 | odd | 12 | |||
1014.2.g.d.239.7 | 16 | 39.11 | even | 12 | |||
1014.2.g.d.437.3 | 16 | 39.23 | odd | 6 | |||
1014.2.g.d.437.7 | 16 | 13.10 | even | 6 |