Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), 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: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 16.0.273503893564697265625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 9 x^{13} + 19 x^{12} - 16 x^{11} + 49 x^{10} - 32 x^{9} + 98 x^{8} - 110 x^{7} + 145 x^{6} - 40 x^{5} + 52 x^{4} + 24 x^{3} + 19 x^{2} + 6 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 14.2 | ||
Root | \(0.538745 + 1.65809i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 143.14 |
Dual form | 143.2.h.b.92.2 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.446411 | + | 0.324336i | −0.315660 | + | 0.229340i | −0.734321 | − | 0.678802i | \(-0.762499\pi\) |
0.418661 | + | 0.908142i | \(0.362499\pi\) | |||||||
\(3\) | −0.828765 | − | 2.55067i | −0.478487 | − | 1.47263i | −0.841196 | − | 0.540730i | \(-0.818148\pi\) |
0.362709 | − | 0.931903i | \(-0.381852\pi\) | |||||||
\(4\) | −0.523946 | + | 1.61254i | −0.261973 | + | 0.806269i | ||||
\(5\) | 2.94178 | + | 2.13733i | 1.31560 | + | 0.955841i | 0.999976 | + | 0.00695775i | \(0.00221474\pi\) |
0.315627 | + | 0.948883i | \(0.397785\pi\) | |||||||
\(6\) | 1.19725 | + | 0.869850i | 0.488773 | + | 0.355115i | ||||
\(7\) | 1.17546 | − | 3.61770i | 0.444283 | − | 1.36736i | −0.438985 | − | 0.898494i | \(-0.644662\pi\) |
0.883268 | − | 0.468868i | \(-0.155338\pi\) | |||||||
\(8\) | −0.630137 | − | 1.93936i | −0.222787 | − | 0.685668i | ||||
\(9\) | −3.39204 | + | 2.46446i | −1.13068 | + | 0.821487i | ||||
\(10\) | −2.00645 | −0.634496 | ||||||||
\(11\) | 2.49918 | − | 2.18038i | 0.753532 | − | 0.657411i | ||||
\(12\) | 4.54729 | 1.31269 | ||||||||
\(13\) | 0.809017 | − | 0.587785i | 0.224381 | − | 0.163022i | ||||
\(14\) | 0.648613 | + | 1.99622i | 0.173349 | + | 0.533513i | ||||
\(15\) | 3.01358 | − | 9.27486i | 0.778104 | − | 2.39476i | ||||
\(16\) | −1.83311 | − | 1.33183i | −0.458277 | − | 0.332958i | ||||
\(17\) | 0.435860 | + | 0.316671i | 0.105712 | + | 0.0768039i | 0.639385 | − | 0.768887i | \(-0.279189\pi\) |
−0.533674 | + | 0.845690i | \(0.679189\pi\) | |||||||
\(18\) | 0.714929 | − | 2.20032i | 0.168510 | − | 0.518621i | ||||
\(19\) | 1.48561 | + | 4.57223i | 0.340821 | + | 1.04894i | 0.963783 | + | 0.266688i | \(0.0859293\pi\) |
−0.622962 | + | 0.782252i | \(0.714071\pi\) | |||||||
\(20\) | −4.98785 | + | 3.62389i | −1.11532 | + | 0.810326i | ||||
\(21\) | −10.2018 | −2.22621 | ||||||||
\(22\) | −0.408484 | + | 1.78392i | −0.0870891 | + | 0.380334i | ||||
\(23\) | −0.778209 | −0.162268 | −0.0811339 | − | 0.996703i | \(-0.525854\pi\) | ||||
−0.0811339 | + | 0.996703i | \(0.525854\pi\) | |||||||
\(24\) | −4.42445 | + | 3.21455i | −0.903137 | + | 0.656167i | ||||
\(25\) | 2.54080 | + | 7.81979i | 0.508161 | + | 1.56396i | ||||
\(26\) | −0.170514 | + | 0.524787i | −0.0334405 | + | 0.102919i | ||||
\(27\) | 2.58804 | + | 1.88032i | 0.498069 | + | 0.361869i | ||||
\(28\) | 5.21780 | + | 3.79096i | 0.986072 | + | 0.716423i | ||||
\(29\) | −0.506341 | + | 1.55836i | −0.0940252 | + | 0.289380i | −0.986998 | − | 0.160730i | \(-0.948615\pi\) |
0.892973 | + | 0.450110i | \(0.148615\pi\) | |||||||
\(30\) | 1.66288 | + | 5.11781i | 0.303598 | + | 0.934380i | ||||
\(31\) | −8.53404 | + | 6.20034i | −1.53276 | + | 1.11361i | −0.578079 | + | 0.815981i | \(0.696198\pi\) |
−0.954680 | + | 0.297634i | \(0.903802\pi\) | |||||||
\(32\) | 5.32861 | 0.941975 | ||||||||
\(33\) | −7.63269 | − | 4.56758i | −1.32868 | − | 0.795114i | ||||
\(34\) | −0.297280 | −0.0509831 | ||||||||
\(35\) | 11.1902 | − | 8.13012i | 1.89148 | − | 1.37424i | ||||
\(36\) | −2.19680 | − | 6.76104i | −0.366133 | − | 1.12684i | ||||
\(37\) | −1.99115 | + | 6.12812i | −0.327343 | + | 1.00746i | 0.643030 | + | 0.765841i | \(0.277677\pi\) |
−0.970372 | + | 0.241615i | \(0.922323\pi\) | |||||||
\(38\) | −2.14613 | − | 1.55925i | −0.348148 | − | 0.252944i | ||||
\(39\) | −2.16973 | − | 1.57640i | −0.347435 | − | 0.252427i | ||||
\(40\) | 2.29133 | − | 7.05198i | 0.362291 | − | 1.11502i | ||||
\(41\) | −2.68832 | − | 8.27380i | −0.419845 | − | 1.29215i | −0.907845 | − | 0.419307i | \(-0.862273\pi\) |
0.487999 | − | 0.872844i | \(-0.337727\pi\) | |||||||
\(42\) | 4.55417 | − | 3.30880i | 0.702724 | − | 0.510559i | ||||
\(43\) | −1.03817 | −0.158319 | −0.0791597 | − | 0.996862i | \(-0.525224\pi\) | ||||
−0.0791597 | + | 0.996862i | \(0.525224\pi\) | |||||||
\(44\) | 2.20652 | + | 5.17243i | 0.332645 | + | 0.779774i | ||||
\(45\) | −15.2460 | −2.27274 | ||||||||
\(46\) | 0.347401 | − | 0.252401i | 0.0512214 | − | 0.0372145i | ||||
\(47\) | −0.269432 | − | 0.829226i | −0.0393007 | − | 0.120955i | 0.929481 | − | 0.368869i | \(-0.120255\pi\) |
−0.968782 | + | 0.247914i | \(0.920255\pi\) | |||||||
\(48\) | −1.87785 | + | 5.77944i | −0.271045 | + | 0.834190i | ||||
\(49\) | −6.04292 | − | 4.39044i | −0.863275 | − | 0.627206i | ||||
\(50\) | −3.67048 | − | 2.66676i | −0.519085 | − | 0.377137i | ||||
\(51\) | 0.446499 | − | 1.37418i | 0.0625223 | − | 0.192424i | ||||
\(52\) | 0.523946 | + | 1.61254i | 0.0726582 | + | 0.223619i | ||||
\(53\) | 1.58391 | − | 1.15078i | 0.217567 | − | 0.158071i | −0.473664 | − | 0.880706i | \(-0.657069\pi\) |
0.691231 | + | 0.722634i | \(0.257069\pi\) | |||||||
\(54\) | −1.76519 | −0.240212 | ||||||||
\(55\) | 12.0122 | − | 1.07263i | 1.61973 | − | 0.144634i | ||||
\(56\) | −7.75674 | −1.03654 | ||||||||
\(57\) | 10.4310 | − | 7.57860i | 1.38163 | − | 1.00381i | ||||
\(58\) | −0.279396 | − | 0.859892i | −0.0366865 | − | 0.112909i | ||||
\(59\) | −0.807023 | + | 2.48376i | −0.105065 | + | 0.323358i | −0.989746 | − | 0.142840i | \(-0.954377\pi\) |
0.884680 | + | 0.466198i | \(0.154377\pi\) | |||||||
\(60\) | 13.3771 | + | 9.71904i | 1.72698 | + | 1.25472i | ||||
\(61\) | 3.22805 | + | 2.34531i | 0.413309 | + | 0.300287i | 0.774940 | − | 0.632035i | \(-0.217780\pi\) |
−0.361631 | + | 0.932321i | \(0.617780\pi\) | |||||||
\(62\) | 1.79869 | − | 5.53580i | 0.228434 | − | 0.703047i | ||||
\(63\) | 4.92847 | + | 15.1683i | 0.620929 | + | 1.91102i | ||||
\(64\) | 1.28747 | − | 0.935400i | 0.160934 | − | 0.116925i | ||||
\(65\) | 3.63624 | 0.451020 | ||||||||
\(66\) | 4.88875 | − | 0.436541i | 0.601763 | − | 0.0537345i | ||||
\(67\) | −9.73566 | −1.18940 | −0.594700 | − | 0.803948i | \(-0.702729\pi\) | ||||
−0.594700 | + | 0.803948i | \(0.702729\pi\) | |||||||
\(68\) | −0.739011 | + | 0.536923i | −0.0896182 | + | 0.0651114i | ||||
\(69\) | 0.644952 | + | 1.98496i | 0.0776431 | + | 0.238961i | ||||
\(70\) | −2.35851 | + | 7.25874i | −0.281896 | + | 0.867586i | ||||
\(71\) | 3.71171 | + | 2.69672i | 0.440499 | + | 0.320041i | 0.785833 | − | 0.618439i | \(-0.212234\pi\) |
−0.345334 | + | 0.938480i | \(0.612234\pi\) | |||||||
\(72\) | 6.91694 | + | 5.02545i | 0.815169 | + | 0.592255i | ||||
\(73\) | −1.25975 | + | 3.87711i | −0.147442 | + | 0.453781i | −0.997317 | − | 0.0732038i | \(-0.976678\pi\) |
0.849875 | + | 0.526985i | \(0.176678\pi\) | |||||||
\(74\) | −1.09870 | − | 3.38146i | −0.127722 | − | 0.393087i | ||||
\(75\) | 17.8400 | − | 12.9615i | 2.05999 | − | 1.49667i | ||||
\(76\) | −8.15127 | −0.935014 | ||||||||
\(77\) | −4.95028 | − | 11.6043i | −0.564137 | − | 1.32243i | ||||
\(78\) | 1.47988 | 0.167563 | ||||||||
\(79\) | −7.12323 | + | 5.17533i | −0.801426 | + | 0.582270i | −0.911332 | − | 0.411672i | \(-0.864945\pi\) |
0.109906 | + | 0.993942i | \(0.464945\pi\) | |||||||
\(80\) | −2.54604 | − | 7.83590i | −0.284656 | − | 0.876081i | ||||
\(81\) | −1.23572 | + | 3.80314i | −0.137302 | + | 0.422572i | ||||
\(82\) | 3.88359 | + | 2.82159i | 0.428871 | + | 0.311593i | ||||
\(83\) | −6.04966 | − | 4.39534i | −0.664037 | − | 0.482451i | 0.203987 | − | 0.978974i | \(-0.434610\pi\) |
−0.868024 | + | 0.496523i | \(0.834610\pi\) | |||||||
\(84\) | 5.34517 | − | 16.4507i | 0.583205 | − | 1.79492i | ||||
\(85\) | 0.605374 | + | 1.86315i | 0.0656620 | + | 0.202087i | ||||
\(86\) | 0.463450 | − | 0.336716i | 0.0499751 | − | 0.0363090i | ||||
\(87\) | 4.39450 | 0.471140 | ||||||||
\(88\) | −5.80339 | − | 3.47288i | −0.618643 | − | 0.370211i | ||||
\(89\) | 7.75356 | 0.821876 | 0.410938 | − | 0.911663i | \(-0.365201\pi\) | ||||
0.410938 | + | 0.911663i | \(0.365201\pi\) | |||||||
\(90\) | 6.80597 | − | 4.94483i | 0.717412 | − | 0.521230i | ||||
\(91\) | −1.17546 | − | 3.61770i | −0.123222 | − | 0.379238i | ||||
\(92\) | 0.407739 | − | 1.25489i | 0.0425097 | − | 0.130832i | ||||
\(93\) | 22.8878 | + | 16.6289i | 2.37335 | + | 1.72434i | ||||
\(94\) | 0.389225 | + | 0.282789i | 0.0401455 | + | 0.0291674i | ||||
\(95\) | −5.40201 | + | 16.6257i | −0.554235 | + | 1.70576i | ||||
\(96\) | −4.41617 | − | 13.5916i | −0.450723 | − | 1.38718i | ||||
\(97\) | −2.36312 | + | 1.71691i | −0.239939 | + | 0.174326i | −0.701256 | − | 0.712910i | \(-0.747377\pi\) |
0.461317 | + | 0.887235i | \(0.347377\pi\) | |||||||
\(98\) | 4.12160 | 0.416345 | ||||||||
\(99\) | −3.10386 | + | 13.5551i | −0.311950 | + | 1.36234i | ||||
\(100\) | −13.9410 | −1.39410 | ||||||||
\(101\) | 5.28841 | − | 3.84226i | 0.526217 | − | 0.382319i | −0.292724 | − | 0.956197i | \(-0.594562\pi\) |
0.818941 | + | 0.573878i | \(0.194562\pi\) | |||||||
\(102\) | 0.246375 | + | 0.758265i | 0.0243948 | + | 0.0750794i | ||||
\(103\) | 2.42799 | − | 7.47259i | 0.239237 | − | 0.736296i | −0.757294 | − | 0.653074i | \(-0.773479\pi\) |
0.996531 | − | 0.0832217i | \(-0.0265210\pi\) | |||||||
\(104\) | −1.64972 | − | 1.19859i | −0.161768 | − | 0.117532i | ||||
\(105\) | −30.0113 | − | 21.8045i | −2.92880 | − | 2.12790i | ||||
\(106\) | −0.333835 | + | 1.02744i | −0.0324249 | + | 0.0997936i | ||||
\(107\) | −2.78343 | − | 8.56651i | −0.269084 | − | 0.828156i | −0.990724 | − | 0.135887i | \(-0.956611\pi\) |
0.721640 | − | 0.692268i | \(-0.243389\pi\) | |||||||
\(108\) | −4.38809 | + | 3.18813i | −0.422244 | + | 0.306778i | ||||
\(109\) | −0.668803 | −0.0640597 | −0.0320298 | − | 0.999487i | \(-0.510197\pi\) | ||||
−0.0320298 | + | 0.999487i | \(0.510197\pi\) | |||||||
\(110\) | −5.01449 | + | 4.37484i | −0.478113 | + | 0.417125i | ||||
\(111\) | 17.2810 | 1.64024 | ||||||||
\(112\) | −6.97292 | + | 5.06612i | −0.658879 | + | 0.478703i | ||||
\(113\) | 1.23952 | + | 3.81485i | 0.116604 | + | 0.358871i | 0.992278 | − | 0.124032i | \(-0.0395825\pi\) |
−0.875674 | + | 0.482903i | \(0.839582\pi\) | |||||||
\(114\) | −2.19851 | + | 6.76633i | −0.205910 | + | 0.633725i | ||||
\(115\) | −2.28932 | − | 1.66329i | −0.213480 | − | 0.155102i | ||||
\(116\) | −2.24762 | − | 1.63299i | −0.208686 | − | 0.151619i | ||||
\(117\) | −1.29564 | + | 3.98758i | −0.119782 | + | 0.368652i | ||||
\(118\) | −0.445310 | − | 1.37052i | −0.0409941 | − | 0.126167i | ||||
\(119\) | 1.65796 | − | 1.20458i | 0.151985 | − | 0.110423i | ||||
\(120\) | −19.8863 | −1.81536 | ||||||||
\(121\) | 1.49184 | − | 10.8984i | 0.135622 | − | 0.990761i | ||||
\(122\) | −2.20170 | −0.199333 | ||||||||
\(123\) | −18.8758 | + | 13.7141i | −1.70197 | + | 1.23656i | ||||
\(124\) | −5.52692 | − | 17.0101i | −0.496332 | − | 1.52755i | ||||
\(125\) | −3.62067 | + | 11.1433i | −0.323842 | + | 0.996684i | ||||
\(126\) | −7.11974 | − | 5.17279i | −0.634277 | − | 0.460829i | ||||
\(127\) | 16.4372 | + | 11.9423i | 1.45857 | + | 1.05971i | 0.983733 | + | 0.179634i | \(0.0574914\pi\) |
0.474833 | + | 0.880076i | \(0.342509\pi\) | |||||||
\(128\) | −3.56462 | + | 10.9708i | −0.315071 | + | 0.969688i | ||||
\(129\) | 0.860398 | + | 2.64803i | 0.0757538 | + | 0.233146i | ||||
\(130\) | −1.62325 | + | 1.17936i | −0.142369 | + | 0.103437i | ||||
\(131\) | 7.73078 | 0.675441 | 0.337721 | − | 0.941246i | \(-0.390344\pi\) | ||||
0.337721 | + | 0.941246i | \(0.390344\pi\) | |||||||
\(132\) | 11.3645 | − | 9.91484i | 0.989154 | − | 0.862976i | ||||
\(133\) | 18.2872 | 1.58570 | ||||||||
\(134\) | 4.34610 | − | 3.15763i | 0.375446 | − | 0.272777i | ||||
\(135\) | 3.59458 | + | 11.0630i | 0.309372 | + | 0.952150i | ||||
\(136\) | 0.339488 | − | 1.04484i | 0.0291108 | − | 0.0895940i | ||||
\(137\) | 10.2168 | + | 7.42294i | 0.872880 | + | 0.634185i | 0.931358 | − | 0.364104i | \(-0.118625\pi\) |
−0.0584781 | + | 0.998289i | \(0.518625\pi\) | |||||||
\(138\) | −0.931707 | − | 0.676925i | −0.0793122 | − | 0.0576237i | ||||
\(139\) | 0.474657 | − | 1.46084i | 0.0402599 | − | 0.123907i | −0.928907 | − | 0.370314i | \(-0.879250\pi\) |
0.969166 | + | 0.246407i | \(0.0792500\pi\) | |||||||
\(140\) | 7.24710 | + | 22.3043i | 0.612492 | + | 1.88506i | ||||
\(141\) | −1.89179 | + | 1.37447i | −0.159317 | + | 0.115751i | ||||
\(142\) | −2.53159 | −0.212446 | ||||||||
\(143\) | 0.740284 | − | 3.23295i | 0.0619057 | − | 0.270353i | ||||
\(144\) | 9.50023 | 0.791686 | ||||||||
\(145\) | −4.82026 | + | 3.50213i | −0.400301 | + | 0.290836i | ||||
\(146\) | −0.695122 | − | 2.13936i | −0.0575287 | − | 0.177055i | ||||
\(147\) | −6.19043 | + | 19.0522i | −0.510578 | + | 1.57140i | ||||
\(148\) | −8.83858 | − | 6.42160i | −0.726527 | − | 0.527852i | ||||
\(149\) | 1.22517 | + | 0.890135i | 0.100370 | + | 0.0729227i | 0.636838 | − | 0.770998i | \(-0.280242\pi\) |
−0.536469 | + | 0.843920i | \(0.680242\pi\) | |||||||
\(150\) | −3.76008 | + | 11.5723i | −0.307009 | + | 0.944876i | ||||
\(151\) | −4.43215 | − | 13.6408i | −0.360683 | − | 1.11007i | −0.952640 | − | 0.304099i | \(-0.901645\pi\) |
0.591957 | − | 0.805969i | \(-0.298355\pi\) | |||||||
\(152\) | 7.93107 | − | 5.76226i | 0.643295 | − | 0.467381i | ||||
\(153\) | −2.25888 | −0.182619 | ||||||||
\(154\) | 5.97354 | + | 3.57471i | 0.481362 | + | 0.288058i | ||||
\(155\) | −38.3574 | −3.08094 | ||||||||
\(156\) | 3.67883 | − | 2.67283i | 0.294543 | − | 0.213998i | ||||
\(157\) | 3.00016 | + | 9.23354i | 0.239439 | + | 0.736917i | 0.996502 | + | 0.0835746i | \(0.0266337\pi\) |
−0.757063 | + | 0.653342i | \(0.773366\pi\) | |||||||
\(158\) | 1.50134 | − | 4.62064i | 0.119440 | − | 0.367598i | ||||
\(159\) | −4.24794 | − | 3.08631i | −0.336884 | − | 0.244760i | ||||
\(160\) | 15.6756 | + | 11.3890i | 1.23926 | + | 0.900378i | ||||
\(161\) | −0.914755 | + | 2.81533i | −0.0720928 | + | 0.221879i | ||||
\(162\) | −0.681861 | − | 2.09855i | −0.0535720 | − | 0.164878i | ||||
\(163\) | 1.64047 | − | 1.19187i | 0.128492 | − | 0.0933548i | −0.521683 | − | 0.853139i | \(-0.674696\pi\) |
0.650175 | + | 0.759785i | \(0.274696\pi\) | |||||||
\(164\) | 14.7504 | 1.15181 | ||||||||
\(165\) | −12.6913 | − | 29.7503i | −0.988013 | − | 2.31606i | ||||
\(166\) | 4.12620 | 0.320255 | ||||||||
\(167\) | −9.06208 | + | 6.58399i | −0.701245 | + | 0.509484i | −0.880337 | − | 0.474348i | \(-0.842684\pi\) |
0.179092 | + | 0.983832i | \(0.442684\pi\) | |||||||
\(168\) | 6.42851 | + | 19.7849i | 0.495970 | + | 1.52644i | ||||
\(169\) | 0.309017 | − | 0.951057i | 0.0237705 | − | 0.0731582i | ||||
\(170\) | −0.874532 | − | 0.635385i | −0.0670735 | − | 0.0487318i | ||||
\(171\) | −16.3073 | − | 11.8480i | −1.24705 | − | 0.906036i | ||||
\(172\) | 0.543944 | − | 1.67409i | 0.0414754 | − | 0.127648i | ||||
\(173\) | −5.44322 | − | 16.7525i | −0.413840 | − | 1.27367i | −0.913284 | − | 0.407323i | \(-0.866462\pi\) |
0.499444 | − | 0.866346i | \(-0.333538\pi\) | |||||||
\(174\) | −1.96175 | + | 1.42530i | −0.148720 | + | 0.108051i | ||||
\(175\) | 31.2763 | 2.36426 | ||||||||
\(176\) | −7.48518 | + | 0.668391i | −0.564217 | + | 0.0503819i | ||||
\(177\) | 7.00410 | 0.526460 | ||||||||
\(178\) | −3.46127 | + | 2.51476i | −0.259433 | + | 0.188489i | ||||
\(179\) | 2.06087 | + | 6.34272i | 0.154037 | + | 0.474077i | 0.998062 | − | 0.0622266i | \(-0.0198201\pi\) |
−0.844025 | + | 0.536304i | \(0.819820\pi\) | |||||||
\(180\) | 7.98807 | − | 24.5847i | 0.595395 | − | 1.83244i | ||||
\(181\) | −4.31149 | − | 3.13248i | −0.320470 | − | 0.232835i | 0.415906 | − | 0.909408i | \(-0.363465\pi\) |
−0.736376 | + | 0.676572i | \(0.763465\pi\) | |||||||
\(182\) | 1.69809 | + | 1.23373i | 0.125871 | + | 0.0914505i | ||||
\(183\) | 3.30684 | − | 10.1774i | 0.244449 | − | 0.752336i | ||||
\(184\) | 0.490378 | + | 1.50923i | 0.0361512 | + | 0.111262i | ||||
\(185\) | −18.9553 | + | 13.7718i | −1.39362 | + | 1.01253i | ||||
\(186\) | −15.6107 | −1.14463 | ||||||||
\(187\) | 1.77976 | − | 0.158924i | 0.130149 | − | 0.0116217i | ||||
\(188\) | 1.47833 | 0.107818 | ||||||||
\(189\) | 9.84460 | − | 7.15252i | 0.716089 | − | 0.520269i | ||||
\(190\) | −2.98080 | − | 9.17395i | −0.216250 | − | 0.665548i | ||||
\(191\) | −4.28424 | + | 13.1855i | −0.309996 | + | 0.954071i | 0.667769 | + | 0.744369i | \(0.267249\pi\) |
−0.977765 | + | 0.209702i | \(0.932751\pi\) | |||||||
\(192\) | −3.45291 | − | 2.50869i | −0.249192 | − | 0.181049i | ||||
\(193\) | −13.2720 | − | 9.64270i | −0.955342 | − | 0.694097i | −0.00327793 | − | 0.999995i | \(-0.501043\pi\) |
−0.952064 | + | 0.305898i | \(0.901043\pi\) | |||||||
\(194\) | 0.498067 | − | 1.53289i | 0.0357591 | − | 0.110055i | ||||
\(195\) | −3.01358 | − | 9.27486i | −0.215807 | − | 0.664186i | ||||
\(196\) | 10.2459 | − | 7.44410i | 0.731851 | − | 0.531721i | ||||
\(197\) | −23.3992 | −1.66712 | −0.833562 | − | 0.552425i | \(-0.813702\pi\) | ||||
−0.833562 | + | 0.552425i | \(0.813702\pi\) | |||||||
\(198\) | −3.01082 | − | 7.05783i | −0.213969 | − | 0.501578i | ||||
\(199\) | 16.2726 | 1.15353 | 0.576766 | − | 0.816909i | \(-0.304314\pi\) | ||||
0.576766 | + | 0.816909i | \(0.304314\pi\) | |||||||
\(200\) | 13.5644 | − | 9.85508i | 0.959145 | − | 0.696859i | ||||
\(201\) | 8.06857 | + | 24.8325i | 0.569113 | + | 1.75155i | ||||
\(202\) | −1.11462 | + | 3.43045i | −0.0784244 | + | 0.241365i | ||||
\(203\) | 5.04249 | + | 3.66358i | 0.353913 | + | 0.257133i | ||||
\(204\) | 1.98198 | + | 1.43999i | 0.138766 | + | 0.100820i | ||||
\(205\) | 9.77537 | − | 30.0855i | 0.682742 | − | 2.10126i | ||||
\(206\) | 1.33975 | + | 4.12333i | 0.0933448 | + | 0.287286i | ||||
\(207\) | 2.63972 | − | 1.91787i | 0.183473 | − | 0.133301i | ||||
\(208\) | −2.26585 | −0.157108 | ||||||||
\(209\) | 13.6820 | + | 8.18764i | 0.946405 | + | 0.566351i | ||||
\(210\) | 20.4693 | 1.41252 | ||||||||
\(211\) | 6.50875 | − | 4.72889i | 0.448081 | − | 0.325550i | −0.340757 | − | 0.940152i | \(-0.610683\pi\) |
0.788838 | + | 0.614602i | \(0.210683\pi\) | |||||||
\(212\) | 1.02579 | + | 3.15706i | 0.0704516 | + | 0.216828i | ||||
\(213\) | 3.80231 | − | 11.7023i | 0.260530 | − | 0.801829i | ||||
\(214\) | 4.02098 | + | 2.92141i | 0.274869 | + | 0.199704i | ||||
\(215\) | −3.05406 | − | 2.21891i | −0.208285 | − | 0.151328i | ||||
\(216\) | 2.01581 | − | 6.20402i | 0.137158 | − | 0.422130i | ||||
\(217\) | 12.3995 | + | 38.1619i | 0.841736 | + | 2.59060i | ||||
\(218\) | 0.298561 | − | 0.216917i | 0.0202211 | − | 0.0146915i | ||||
\(219\) | 10.9333 | 0.738803 | ||||||||
\(220\) | −4.56409 | + | 19.9322i | −0.307711 | + | 1.34383i | ||||
\(221\) | 0.538752 | 0.0362404 | ||||||||
\(222\) | −7.71444 | + | 5.60487i | −0.517759 | + | 0.376174i | ||||
\(223\) | −2.59724 | − | 7.99350i | −0.173924 | − | 0.535284i | 0.825658 | − | 0.564170i | \(-0.190804\pi\) |
−0.999583 | + | 0.0288863i | \(0.990804\pi\) | |||||||
\(224\) | 6.26358 | − | 19.2773i | 0.418503 | − | 1.28802i | ||||
\(225\) | −27.8901 | − | 20.2633i | −1.85934 | − | 1.35089i | ||||
\(226\) | −1.79063 | − | 1.30097i | −0.119111 | − | 0.0865391i | ||||
\(227\) | 7.66315 | − | 23.5848i | 0.508621 | − | 1.56538i | −0.285975 | − | 0.958237i | \(-0.592317\pi\) |
0.794596 | − | 0.607138i | \(-0.207683\pi\) | |||||||
\(228\) | 6.75548 | + | 20.7912i | 0.447393 | + | 1.37693i | ||||
\(229\) | 5.29677 | − | 3.84833i | 0.350021 | − | 0.254305i | −0.398857 | − | 0.917013i | \(-0.630593\pi\) |
0.748878 | + | 0.662708i | \(0.230593\pi\) | |||||||
\(230\) | 1.56144 | 0.102958 | ||||||||
\(231\) | −25.4961 | + | 22.2438i | −1.67752 | + | 1.46353i | ||||
\(232\) | 3.34129 | 0.219366 | ||||||||
\(233\) | 4.83003 | − | 3.50922i | 0.316426 | − | 0.229897i | −0.418223 | − | 0.908344i | \(-0.637347\pi\) |
0.734649 | + | 0.678447i | \(0.237347\pi\) | |||||||
\(234\) | −0.714929 | − | 2.20032i | −0.0467363 | − | 0.143840i | ||||
\(235\) | 0.979718 | − | 3.01526i | 0.0639097 | − | 0.196694i | ||||
\(236\) | −3.58233 | − | 2.60271i | −0.233190 | − | 0.169422i | ||||
\(237\) | 19.1041 | + | 13.8799i | 1.24094 | + | 0.901597i | ||||
\(238\) | −0.349442 | + | 1.07547i | −0.0226509 | + | 0.0697124i | ||||
\(239\) | 6.25153 | + | 19.2402i | 0.404378 | + | 1.24455i | 0.921414 | + | 0.388583i | \(0.127035\pi\) |
−0.517036 | + | 0.855964i | \(0.672965\pi\) | |||||||
\(240\) | −17.8768 | + | 12.9882i | −1.15394 | + | 0.838387i | ||||
\(241\) | −18.1841 | −1.17134 | −0.585670 | − | 0.810549i | \(-0.699169\pi\) | ||||
−0.585670 | + | 0.810549i | \(0.699169\pi\) | |||||||
\(242\) | 2.86876 | + | 5.34901i | 0.184411 | + | 0.343847i | ||||
\(243\) | 20.3217 | 1.30364 | ||||||||
\(244\) | −5.47323 | + | 3.97653i | −0.350388 | + | 0.254571i | ||||
\(245\) | −8.39313 | − | 25.8314i | −0.536217 | − | 1.65031i | ||||
\(246\) | 3.97839 | − | 12.2442i | 0.253653 | − | 0.780662i | ||||
\(247\) | 3.88937 | + | 2.82579i | 0.247474 | + | 0.179801i | ||||
\(248\) | 17.4023 | + | 12.6435i | 1.10505 | + | 0.802865i | ||||
\(249\) | −6.19733 | + | 19.0734i | −0.392740 | + | 1.20873i | ||||
\(250\) | −1.99786 | − | 6.14878i | −0.126356 | − | 0.388883i | ||||
\(251\) | 22.6437 | − | 16.4516i | 1.42926 | − | 1.03842i | 0.439105 | − | 0.898436i | \(-0.355296\pi\) |
0.990154 | − | 0.139981i | \(-0.0447043\pi\) | |||||||
\(252\) | −27.0417 | −1.70347 | ||||||||
\(253\) | −1.94489 | + | 1.69679i | −0.122274 | + | 0.106677i | ||||
\(254\) | −11.2111 | −0.703445 | ||||||||
\(255\) | 4.25057 | − | 3.08822i | 0.266181 | − | 0.193392i | ||||
\(256\) | −0.983397 | − | 3.02659i | −0.0614623 | − | 0.189162i | ||||
\(257\) | −7.03880 | + | 21.6632i | −0.439068 | + | 1.35131i | 0.449792 | + | 0.893133i | \(0.351498\pi\) |
−0.888860 | + | 0.458179i | \(0.848502\pi\) | |||||||
\(258\) | −1.24294 | − | 0.903052i | −0.0773823 | − | 0.0562215i | ||||
\(259\) | 19.8292 | + | 14.4067i | 1.23213 | + | 0.895192i | ||||
\(260\) | −1.90519 | + | 5.86357i | −0.118155 | + | 0.363643i | ||||
\(261\) | −2.12298 | − | 6.53387i | −0.131409 | − | 0.404437i | ||||
\(262\) | −3.45110 | + | 2.50737i | −0.213210 | + | 0.154906i | ||||
\(263\) | 17.4897 | 1.07846 | 0.539232 | − | 0.842157i | \(-0.318715\pi\) | ||||
0.539232 | + | 0.842157i | \(0.318715\pi\) | |||||||
\(264\) | −4.04856 | + | 17.6808i | −0.249171 | + | 1.08818i | ||||
\(265\) | 7.11909 | 0.437322 | ||||||||
\(266\) | −8.16361 | + | 5.93121i | −0.500543 | + | 0.363666i | ||||
\(267\) | −6.42587 | − | 19.7768i | −0.393257 | − | 1.21032i | ||||
\(268\) | 5.10096 | − | 15.6991i | 0.311591 | − | 0.958977i | ||||
\(269\) | −19.2665 | − | 13.9979i | −1.17470 | − | 0.853469i | −0.183135 | − | 0.983088i | \(-0.558625\pi\) |
−0.991564 | + | 0.129619i | \(0.958625\pi\) | |||||||
\(270\) | −5.19279 | − | 3.77278i | −0.316023 | − | 0.229604i | ||||
\(271\) | −7.32646 | + | 22.5485i | −0.445051 | + | 1.36973i | 0.437377 | + | 0.899278i | \(0.355908\pi\) |
−0.882428 | + | 0.470448i | \(0.844092\pi\) | |||||||
\(272\) | −0.377226 | − | 1.16098i | −0.0228727 | − | 0.0703950i | ||||
\(273\) | −8.25340 | + | 5.99644i | −0.499518 | + | 0.362921i | ||||
\(274\) | −6.96842 | −0.420977 | ||||||||
\(275\) | 23.4001 | + | 14.0032i | 1.41108 | + | 0.844422i | ||||
\(276\) | −3.53874 | −0.213007 | ||||||||
\(277\) | −4.66664 | + | 3.39051i | −0.280391 | + | 0.203716i | −0.719088 | − | 0.694919i | \(-0.755440\pi\) |
0.438697 | + | 0.898635i | \(0.355440\pi\) | |||||||
\(278\) | 0.261913 | + | 0.806085i | 0.0157085 | + | 0.0483458i | ||||
\(279\) | 13.6673 | − | 42.0636i | 0.818240 | − | 2.51828i | ||||
\(280\) | −22.8186 | − | 16.5787i | −1.36367 | − | 0.990765i | ||||
\(281\) | −3.38815 | − | 2.46164i | −0.202120 | − | 0.146849i | 0.482121 | − | 0.876105i | \(-0.339867\pi\) |
−0.684241 | + | 0.729256i | \(0.739867\pi\) | |||||||
\(282\) | 0.398726 | − | 1.22715i | 0.0237438 | − | 0.0730759i | ||||
\(283\) | −9.50515 | − | 29.2538i | −0.565022 | − | 1.73896i | −0.667885 | − | 0.744265i | \(-0.732800\pi\) |
0.102862 | − | 0.994696i | \(-0.467200\pi\) | |||||||
\(284\) | −6.29329 | + | 4.57234i | −0.373438 | + | 0.271319i | ||||
\(285\) | 46.8837 | 2.77715 | ||||||||
\(286\) | 0.718093 | + | 1.68333i | 0.0424617 | + | 0.0995371i | ||||
\(287\) | −33.0922 | −1.95337 | ||||||||
\(288\) | −18.0749 | + | 13.1322i | −1.06507 | + | 0.773821i | ||||
\(289\) | −5.16360 | − | 15.8919i | −0.303741 | − | 0.934818i | ||||
\(290\) | 1.01595 | − | 3.12677i | 0.0596586 | − | 0.183610i | ||||
\(291\) | 6.33775 | + | 4.60464i | 0.371525 | + | 0.269929i | ||||
\(292\) | −5.59195 | − | 4.06279i | −0.327244 | − | 0.237757i | ||||
\(293\) | 1.19469 | − | 3.67689i | 0.0697947 | − | 0.214806i | −0.910075 | − | 0.414443i | \(-0.863976\pi\) |
0.979870 | + | 0.199637i | \(0.0639764\pi\) | |||||||
\(294\) | −3.41584 | − | 10.5129i | −0.199216 | − | 0.613123i | ||||
\(295\) | −7.68269 | + | 5.58180i | −0.447303 | + | 0.324985i | ||||
\(296\) | 13.1393 | 0.763709 | ||||||||
\(297\) | 10.5678 | − | 0.943656i | 0.613208 | − | 0.0547565i | ||||
\(298\) | −0.835630 | −0.0484068 | ||||||||
\(299\) | −0.629584 | + | 0.457420i | −0.0364098 | + | 0.0264533i | ||||
\(300\) | 11.5538 | + | 35.5588i | 0.667057 | + | 2.05299i | ||||
\(301\) | −1.22033 | + | 3.75579i | −0.0703386 | + | 0.216480i | ||||
\(302\) | 6.40275 | + | 4.65187i | 0.368437 | + | 0.267685i | ||||
\(303\) | −14.1832 | − | 10.3047i | −0.814803 | − | 0.591989i | ||||
\(304\) | 3.36616 | − | 10.3600i | 0.193062 | − | 0.594185i | ||||
\(305\) | 4.48349 | + | 13.7988i | 0.256724 | + | 0.790116i | ||||
\(306\) | 1.00839 | − | 0.732636i | 0.0576456 | − | 0.0418820i | ||||
\(307\) | −17.1098 | −0.976510 | −0.488255 | − | 0.872701i | \(-0.662366\pi\) | ||||
−0.488255 | + | 0.872701i | \(0.662366\pi\) | |||||||
\(308\) | 21.3060 | − | 1.90252i | 1.21402 | − | 0.108406i | ||||
\(309\) | −21.0724 | −1.19877 | ||||||||
\(310\) | 17.1231 | − | 12.4407i | 0.972530 | − | 0.706584i | ||||
\(311\) | −2.98467 | − | 9.18587i | −0.169245 | − | 0.520883i | 0.830079 | − | 0.557646i | \(-0.188295\pi\) |
−0.999324 | + | 0.0367631i | \(0.988295\pi\) | |||||||
\(312\) | −1.68999 | + | 5.20125i | −0.0956768 | + | 0.294463i | ||||
\(313\) | 7.48184 | + | 5.43588i | 0.422899 | + | 0.307254i | 0.778803 | − | 0.627269i | \(-0.215827\pi\) |
−0.355904 | + | 0.934522i | \(0.615827\pi\) | |||||||
\(314\) | −4.33407 | − | 3.14889i | −0.244586 | − | 0.177702i | ||||
\(315\) | −17.9211 | + | 55.1554i | −1.00974 | + | 3.10766i | ||||
\(316\) | −4.61323 | − | 14.1981i | −0.259515 | − | 0.798704i | ||||
\(317\) | 23.5905 | − | 17.1395i | 1.32497 | − | 0.962649i | 0.325117 | − | 0.945674i | \(-0.394596\pi\) |
0.999856 | − | 0.0169751i | \(-0.00540360\pi\) | |||||||
\(318\) | 2.89733 | 0.162474 | ||||||||
\(319\) | 2.13238 | + | 4.99864i | 0.119390 | + | 0.279870i | ||||
\(320\) | 5.78670 | 0.323486 | ||||||||
\(321\) | −19.5436 | + | 14.1992i | −1.09082 | + | 0.792524i | ||||
\(322\) | −0.504756 | − | 1.55348i | −0.0281290 | − | 0.0865720i | ||||
\(323\) | −0.800374 | + | 2.46330i | −0.0445340 | + | 0.137062i | ||||
\(324\) | −5.48527 | − | 3.98528i | −0.304737 | − | 0.221405i | ||||
\(325\) | 6.65191 | + | 4.83289i | 0.368982 | + | 0.268081i | ||||
\(326\) | −0.345757 | + | 1.06413i | −0.0191497 | + | 0.0589367i | ||||
\(327\) | 0.554280 | + | 1.70590i | 0.0306517 | + | 0.0943364i | ||||
\(328\) | −14.3519 | + | 10.4273i | −0.792451 | + | 0.575749i | ||||
\(329\) | −3.31660 | −0.182850 | ||||||||
\(330\) | 15.3146 | + | 9.16463i | 0.843042 | + | 0.504496i | ||||
\(331\) | −36.3427 | −1.99758 | −0.998788 | − | 0.0492197i | \(-0.984327\pi\) | ||||
−0.998788 | + | 0.0492197i | \(0.984327\pi\) | |||||||
\(332\) | 10.2573 | − | 7.45240i | 0.562945 | − | 0.409003i | ||||
\(333\) | −8.34847 | − | 25.6939i | −0.457493 | − | 1.40802i | ||||
\(334\) | 1.90998 | − | 5.87832i | 0.104510 | − | 0.321648i | ||||
\(335\) | −28.6401 | − | 20.8083i | −1.56478 | − | 1.13688i | ||||
\(336\) | 18.7009 | + | 13.5870i | 1.02022 | + | 0.741233i | ||||
\(337\) | −3.70801 | + | 11.4121i | −0.201988 | + | 0.621656i | 0.797835 | + | 0.602875i | \(0.205978\pi\) |
−0.999824 | + | 0.0187804i | \(0.994022\pi\) | |||||||
\(338\) | 0.170514 | + | 0.524787i | 0.00927472 | + | 0.0285447i | ||||
\(339\) | 8.70317 | − | 6.32322i | 0.472691 | − | 0.343430i | ||||
\(340\) | −3.32158 | −0.180138 | ||||||||
\(341\) | −7.80900 | + | 34.1033i | −0.422881 | + | 1.84680i | ||||
\(342\) | 11.1225 | 0.601435 | ||||||||
\(343\) | −1.44473 | + | 1.04966i | −0.0780082 | + | 0.0566762i | ||||
\(344\) | 0.654189 | + | 2.01339i | 0.0352715 | + | 0.108555i | ||||
\(345\) | −2.34520 | + | 7.21777i | −0.126261 | + | 0.388592i | ||||
\(346\) | 7.86336 | + | 5.71306i | 0.422737 | + | 0.307136i | ||||
\(347\) | −13.3213 | − | 9.67846i | −0.715123 | − | 0.519567i | 0.169700 | − | 0.985496i | \(-0.445720\pi\) |
−0.884822 | + | 0.465929i | \(0.845720\pi\) | |||||||
\(348\) | −2.30248 | + | 7.08631i | −0.123426 | + | 0.379866i | ||||
\(349\) | −7.96502 | − | 24.5138i | −0.426358 | − | 1.31219i | −0.901688 | − | 0.432387i | \(-0.857672\pi\) |
0.475331 | − | 0.879807i | \(-0.342328\pi\) | |||||||
\(350\) | −13.9621 | + | 10.1440i | −0.746303 | + | 0.542221i | ||||
\(351\) | 3.19900 | 0.170750 | ||||||||
\(352\) | 13.3172 | − | 11.6184i | 0.709809 | − | 0.619264i | ||||
\(353\) | 9.52734 | 0.507089 | 0.253545 | − | 0.967324i | \(-0.418404\pi\) | ||||
0.253545 | + | 0.967324i | \(0.418404\pi\) | |||||||
\(354\) | −3.12670 | + | 2.27168i | −0.166182 | + | 0.120739i | ||||
\(355\) | 5.15526 | + | 15.8663i | 0.273613 | + | 0.842094i | ||||
\(356\) | −4.06244 | + | 12.5029i | −0.215309 | + | 0.662653i | ||||
\(357\) | −4.44654 | − | 3.23060i | −0.235336 | − | 0.170981i | ||||
\(358\) | −2.97717 | − | 2.16304i | −0.157348 | − | 0.114320i | ||||
\(359\) | −9.80713 | + | 30.1832i | −0.517601 | + | 1.59301i | 0.260899 | + | 0.965366i | \(0.415981\pi\) |
−0.778500 | + | 0.627645i | \(0.784019\pi\) | |||||||
\(360\) | 9.60706 | + | 29.5675i | 0.506337 | + | 1.55834i | ||||
\(361\) | −3.32689 | + | 2.41713i | −0.175100 | + | 0.127217i | ||||
\(362\) | 2.94067 | 0.154558 | ||||||||
\(363\) | −29.0346 | + | 5.22697i | −1.52392 | + | 0.274345i | ||||
\(364\) | 6.44956 | 0.338049 | ||||||||
\(365\) | −11.9925 | + | 8.71309i | −0.627719 | + | 0.456064i | ||||
\(366\) | 1.82469 | + | 5.61583i | 0.0953783 | + | 0.293544i | ||||
\(367\) | −0.794330 | + | 2.44470i | −0.0414637 | + | 0.127612i | −0.969646 | − | 0.244515i | \(-0.921371\pi\) |
0.928182 | + | 0.372127i | \(0.121371\pi\) | |||||||
\(368\) | 1.42654 | + | 1.03644i | 0.0743636 | + | 0.0540283i | ||||
\(369\) | 29.5094 | + | 21.4398i | 1.53620 | + | 1.11611i | ||||
\(370\) | 3.99514 | − | 12.2958i | 0.207698 | − | 0.639227i | ||||
\(371\) | −2.30134 | − | 7.08280i | −0.119480 | − | 0.367721i | ||||
\(372\) | −38.8068 | + | 28.1948i | −2.01204 | + | 1.46183i | ||||
\(373\) | 36.0244 | 1.86527 | 0.932637 | − | 0.360816i | \(-0.117502\pi\) | ||||
0.932637 | + | 0.360816i | \(0.117502\pi\) | |||||||
\(374\) | −0.742958 | + | 0.648185i | −0.0384174 | + | 0.0335169i | ||||
\(375\) | 31.4235 | 1.62270 | ||||||||
\(376\) | −1.43839 | + | 1.04505i | −0.0741794 | + | 0.0538945i | ||||
\(377\) | 0.506341 | + | 1.55836i | 0.0260779 | + | 0.0802595i | ||||
\(378\) | −2.07491 | + | 6.38592i | −0.106722 | + | 0.328456i | ||||
\(379\) | −4.14022 | − | 3.00805i | −0.212669 | − | 0.154513i | 0.476352 | − | 0.879255i | \(-0.341959\pi\) |
−0.689020 | + | 0.724742i | \(0.741959\pi\) | |||||||
\(380\) | −23.9792 | − | 17.4219i | −1.23011 | − | 0.893725i | ||||
\(381\) | 16.8384 | − | 51.8233i | 0.862659 | − | 2.65499i | ||||
\(382\) | −2.36402 | − | 7.27569i | −0.120954 | − | 0.372257i | ||||
\(383\) | 30.4920 | − | 22.1537i | 1.55807 | − | 1.13200i | 0.620494 | − | 0.784211i | \(-0.286932\pi\) |
0.937572 | − | 0.347790i | \(-0.113068\pi\) | |||||||
\(384\) | 30.9371 | 1.57875 | ||||||||
\(385\) | 10.2395 | − | 44.7175i | 0.521851 | − | 2.27902i | ||||
\(386\) | 9.05226 | 0.460748 | ||||||||
\(387\) | 3.52151 | − | 2.55853i | 0.179009 | − | 0.130057i | ||||
\(388\) | −1.53043 | − | 4.71019i | −0.0776960 | − | 0.239124i | ||||
\(389\) | −1.44540 | + | 4.44849i | −0.0732848 | + | 0.225547i | −0.980989 | − | 0.194063i | \(-0.937833\pi\) |
0.907704 | + | 0.419610i | \(0.137833\pi\) | |||||||
\(390\) | 4.35347 | + | 3.16298i | 0.220446 | + | 0.160164i | ||||
\(391\) | −0.339190 | − | 0.246436i | −0.0171536 | − | 0.0124628i | ||||
\(392\) | −4.70679 | + | 14.4860i | −0.237729 | + | 0.731654i | ||||
\(393\) | −6.40699 | − | 19.7187i | −0.323190 | − | 0.994677i | ||||
\(394\) | 10.4457 | − | 7.58921i | 0.526244 | − | 0.382339i | ||||
\(395\) | −32.0163 | −1.61091 | ||||||||
\(396\) | −20.2319 | − | 12.1072i | −1.01669 | − | 0.608411i | ||||
\(397\) | −0.0408623 | −0.00205082 | −0.00102541 | − | 0.999999i | \(-0.500326\pi\) | ||||
−0.00102541 | + | 0.999999i | \(0.500326\pi\) | |||||||
\(398\) | −7.26425 | + | 5.27779i | −0.364124 | + | 0.264552i | ||||
\(399\) | −15.1558 | − | 46.6447i | −0.758739 | − | 2.33516i | ||||
\(400\) | 5.75707 | − | 17.7184i | 0.287854 | − | 0.885922i | ||||
\(401\) | 2.31147 | + | 1.67938i | 0.115429 | + | 0.0838644i | 0.644002 | − | 0.765024i | \(-0.277273\pi\) |
−0.528573 | + | 0.848888i | \(0.677273\pi\) | |||||||
\(402\) | −11.6560 | − | 8.46856i | −0.581347 | − | 0.422374i | ||||
\(403\) | −3.25971 | + | 10.0324i | −0.162378 | + | 0.499748i | ||||
\(404\) | 3.42495 | + | 10.5409i | 0.170397 | + | 0.524430i | ||||
\(405\) | −11.7638 | + | 8.54687i | −0.584546 | + | 0.424698i | ||||
\(406\) | −3.43925 | −0.170687 | ||||||||
\(407\) | 8.38542 | + | 19.6568i | 0.415650 | + | 0.974350i | ||||
\(408\) | −2.94639 | −0.145868 | ||||||||
\(409\) | 8.01847 | − | 5.82576i | 0.396488 | − | 0.288065i | −0.371621 | − | 0.928384i | \(-0.621198\pi\) |
0.768109 | + | 0.640319i | \(0.221198\pi\) | |||||||
\(410\) | 5.39399 | + | 16.6010i | 0.266390 | + | 0.819865i | ||||
\(411\) | 10.4662 | − | 32.2116i | 0.516259 | − | 1.58888i | ||||
\(412\) | 10.7777 | + | 7.83046i | 0.530979 | + | 0.385779i | ||||
\(413\) | 8.03688 | + | 5.83913i | 0.395469 | + | 0.287325i | ||||
\(414\) | −0.556364 | + | 1.71231i | −0.0273438 | + | 0.0841555i | ||||
\(415\) | −8.40249 | − | 25.8602i | −0.412462 | − | 1.26943i | ||||
\(416\) | 4.31094 | − | 3.13208i | 0.211361 | − | 0.153563i | ||||
\(417\) | −4.11952 | −0.201734 | ||||||||
\(418\) | −8.76334 | + | 0.782524i | −0.428629 | + | 0.0382745i | ||||
\(419\) | 21.0584 | 1.02877 | 0.514386 | − | 0.857559i | \(-0.328020\pi\) | ||||
0.514386 | + | 0.857559i | \(0.328020\pi\) | |||||||
\(420\) | 50.8849 | − | 36.9700i | 2.48293 | − | 1.80395i | ||||
\(421\) | 10.3346 | + | 31.8065i | 0.503676 | + | 1.55016i | 0.802985 | + | 0.596000i | \(0.203244\pi\) |
−0.299308 | + | 0.954156i | \(0.596756\pi\) | |||||||
\(422\) | −1.37183 | + | 4.22205i | −0.0667795 | + | 0.205526i | ||||
\(423\) | 2.95752 | + | 2.14876i | 0.143800 | + | 0.104476i | ||||
\(424\) | −3.22985 | − | 2.34663i | −0.156856 | − | 0.113962i | ||||
\(425\) | −1.36886 | + | 4.21293i | −0.0663996 | + | 0.204357i | ||||
\(426\) | 2.09809 | + | 6.45726i | 0.101653 | + | 0.312855i | ||||
\(427\) | 12.2791 | − | 8.92128i | 0.594227 | − | 0.431731i | ||||
\(428\) | 15.2722 | 0.738209 | ||||||||
\(429\) | −8.85973 | + | 0.791131i | −0.427752 | + | 0.0381962i | ||||
\(430\) | 2.08304 | 0.100453 | ||||||||
\(431\) | 8.00132 | − | 5.81330i | 0.385410 | − | 0.280017i | −0.378162 | − | 0.925739i | \(-0.623444\pi\) |
0.763572 | + | 0.645723i | \(0.223444\pi\) | |||||||
\(432\) | −2.23989 | − | 6.89368i | −0.107767 | − | 0.331672i | ||||
\(433\) | 0.481627 | − | 1.48230i | 0.0231455 | − | 0.0712346i | −0.938817 | − | 0.344418i | \(-0.888076\pi\) |
0.961962 | + | 0.273183i | \(0.0880764\pi\) | |||||||
\(434\) | −17.9126 | − | 13.0142i | −0.859831 | − | 0.624704i | ||||
\(435\) | 12.9276 | + | 9.39249i | 0.619833 | + | 0.450335i | ||||
\(436\) | 0.350416 | − | 1.07847i | 0.0167819 | − | 0.0516493i | ||||
\(437\) | −1.15611 | − | 3.55815i | −0.0553043 | − | 0.170209i | ||||
\(438\) | −4.88073 | + | 3.54606i | −0.233210 | + | 0.169437i | ||||
\(439\) | −3.20249 | −0.152847 | −0.0764233 | − | 0.997075i | \(-0.524350\pi\) | ||||
−0.0764233 | + | 0.997075i | \(0.524350\pi\) | |||||||
\(440\) | −9.64959 | − | 22.6202i | −0.460026 | − | 1.07837i | ||||
\(441\) | 31.3179 | 1.49133 | ||||||||
\(442\) | −0.240505 | + | 0.174737i | −0.0114396 | + | 0.00831139i | ||||
\(443\) | −8.75126 | − | 26.9336i | −0.415785 | − | 1.27965i | −0.911547 | − | 0.411196i | \(-0.865111\pi\) |
0.495762 | − | 0.868458i | \(-0.334889\pi\) | |||||||
\(444\) | −9.05432 | + | 27.8663i | −0.429699 | + | 1.32248i | ||||
\(445\) | 22.8092 | + | 16.5719i | 1.08126 | + | 0.785582i | ||||
\(446\) | 3.75202 | + | 2.72600i | 0.177663 | + | 0.129080i | ||||
\(447\) | 1.25507 | − | 3.86271i | 0.0593628 | − | 0.182700i | ||||
\(448\) | −1.87063 | − | 5.75720i | −0.0883789 | − | 0.272002i | ||||
\(449\) | −7.59543 | + | 5.51840i | −0.358450 | + | 0.260430i | −0.752406 | − | 0.658700i | \(-0.771107\pi\) |
0.393955 | + | 0.919130i | \(0.371107\pi\) | |||||||
\(450\) | 19.0226 | 0.896732 | ||||||||
\(451\) | −24.7587 | − | 14.8162i | −1.16584 | − | 0.697667i | ||||
\(452\) | −6.80103 | −0.319894 | ||||||||
\(453\) | −31.1199 | + | 22.6099i | −1.46214 | + | 1.06231i | ||||
\(454\) | 4.22848 | + | 13.0139i | 0.198452 | + | 0.610774i | ||||
\(455\) | 4.27426 | − | 13.1548i | 0.200380 | − | 0.616707i | ||||
\(456\) | −21.2706 | − | 15.4540i | −0.996089 | − | 0.723701i | ||||
\(457\) | 1.75791 | + | 1.27720i | 0.0822317 | + | 0.0597448i | 0.628142 | − | 0.778099i | \(-0.283816\pi\) |
−0.545910 | + | 0.837844i | \(0.683816\pi\) | |||||||
\(458\) | −1.11638 | + | 3.43587i | −0.0521651 | + | 0.160548i | ||||
\(459\) | 0.532581 | + | 1.63912i | 0.0248587 | + | 0.0765074i | ||||
\(460\) | 3.88159 | − | 2.82014i | 0.180980 | − | 0.131490i | ||||
\(461\) | 25.9078 | 1.20664 | 0.603322 | − | 0.797497i | \(-0.293843\pi\) | ||||
0.603322 | + | 0.797497i | \(0.293843\pi\) | |||||||
\(462\) | 4.16726 | − | 18.1992i | 0.193878 | − | 0.846701i | ||||
\(463\) | −4.34094 | −0.201741 | −0.100870 | − | 0.994900i | \(-0.532163\pi\) | ||||
−0.100870 | + | 0.994900i | \(0.532163\pi\) | |||||||
\(464\) | 3.00365 | − | 2.18228i | 0.139441 | − | 0.101310i | ||||
\(465\) | 31.7893 | + | 97.8373i | 1.47419 | + | 4.53709i | ||||
\(466\) | −1.01801 | + | 3.13311i | −0.0471584 | + | 0.145139i | ||||
\(467\) | 16.3681 | + | 11.8921i | 0.757427 | + | 0.550303i | 0.898120 | − | 0.439751i | \(-0.144933\pi\) |
−0.140693 | + | 0.990053i | \(0.544933\pi\) | |||||||
\(468\) | −5.75129 | − | 4.17855i | −0.265853 | − | 0.193154i | ||||
\(469\) | −11.4439 | + | 35.2207i | −0.528430 | + | 1.62634i | ||||
\(470\) | 0.540602 | + | 1.66380i | 0.0249361 | + | 0.0767455i | ||||
\(471\) | 21.0653 | − | 15.3049i | 0.970639 | − | 0.705211i | ||||
\(472\) | 5.32545 | 0.245124 | ||||||||
\(473\) | −2.59458 | + | 2.26361i | −0.119299 | + | 0.104081i | ||||
\(474\) | −13.0300 | −0.598488 | ||||||||
\(475\) | −31.9792 | + | 23.2342i | −1.46731 | + | 1.06606i | ||||
\(476\) | 1.07375 | + | 3.30465i | 0.0492151 | + | 0.151468i | ||||
\(477\) | −2.53664 | + | 7.80696i | −0.116145 | + | 0.357456i | ||||
\(478\) | −9.03105 | − | 6.56144i | −0.413071 | − | 0.300114i | ||||
\(479\) | −16.7939 | − | 12.2015i | −0.767332 | − | 0.557500i | 0.133818 | − | 0.991006i | \(-0.457276\pi\) |
−0.901151 | + | 0.433506i | \(0.857276\pi\) | |||||||
\(480\) | 16.0582 | − | 49.4221i | 0.732954 | − | 2.25580i | ||||
\(481\) | 1.99115 | + | 6.12812i | 0.0907885 | + | 0.279418i | ||||
\(482\) | 8.11758 | − | 5.89776i | 0.369745 | − | 0.268636i | ||||
\(483\) | 7.93910 | 0.361241 | ||||||||
\(484\) | 16.7924 | + | 8.11581i | 0.763291 | + | 0.368900i | ||||
\(485\) | −10.6214 | −0.482291 | ||||||||
\(486\) | −9.07182 | + | 6.59106i | −0.411506 | + | 0.298977i | ||||
\(487\) | −1.11657 | − | 3.43646i | −0.0505968 | − | 0.155721i | 0.922566 | − | 0.385840i | \(-0.126088\pi\) |
−0.973162 | + | 0.230119i | \(0.926088\pi\) | |||||||
\(488\) | 2.51430 | − | 7.73822i | 0.113817 | − | 0.350293i | ||||
\(489\) | −4.39965 | − | 3.19653i | −0.198959 | − | 0.144552i | ||||
\(490\) | 12.1248 | + | 8.80921i | 0.547744 | + | 0.397960i | ||||
\(491\) | −3.46536 | + | 10.6653i | −0.156390 | + | 0.481318i | −0.998299 | − | 0.0583011i | \(-0.981432\pi\) |
0.841909 | + | 0.539619i | \(0.181432\pi\) | |||||||
\(492\) | −12.2246 | − | 37.6234i | −0.551127 | − | 1.69619i | ||||
\(493\) | −0.714180 | + | 0.518882i | −0.0321651 | + | 0.0233693i | ||||
\(494\) | −2.65276 | −0.119353 | ||||||||
\(495\) | −38.1025 | + | 33.2421i | −1.71258 | + | 1.49412i | ||||
\(496\) | 23.9016 | 1.07322 | ||||||||
\(497\) | 14.1189 | − | 10.2580i | 0.633318 | − | 0.460133i | ||||
\(498\) | −3.41965 | − | 10.5246i | −0.153238 | − | 0.471618i | ||||
\(499\) | −11.7773 | + | 36.2469i | −0.527226 | + | 1.62263i | 0.232646 | + | 0.972562i | \(0.425262\pi\) |
−0.759872 | + | 0.650073i | \(0.774738\pi\) | |||||||
\(500\) | −16.0719 | − | 11.6769i | −0.718758 | − | 0.522208i | ||||
\(501\) | 24.3039 | + | 17.6579i | 1.08582 | + | 0.788895i | ||||
\(502\) | −4.77254 | + | 14.6884i | −0.213009 | + | 0.655573i | ||||
\(503\) | −0.0248588 | − | 0.0765076i | −0.00110840 | − | 0.00341131i | 0.950501 | − | 0.310722i | \(-0.100571\pi\) |
−0.951609 | + | 0.307311i | \(0.900571\pi\) | |||||||
\(504\) | 26.3112 | − | 19.1162i | 1.17199 | − | 0.851503i | ||||
\(505\) | 23.7695 | 1.05773 | ||||||||
\(506\) | 0.317886 | − | 1.38826i | 0.0141318 | − | 0.0617159i | ||||
\(507\) | −2.68194 | −0.119109 | ||||||||
\(508\) | −27.8697 | + | 20.2485i | −1.23652 | + | 0.898382i | ||||
\(509\) | −3.91614 | − | 12.0526i | −0.173580 | − | 0.534224i | 0.825986 | − | 0.563691i | \(-0.190619\pi\) |
−0.999566 | + | 0.0294670i | \(0.990619\pi\) | |||||||
\(510\) | −0.895879 | + | 2.75723i | −0.0396702 | + | 0.122092i | ||||
\(511\) | 12.5454 | + | 9.11479i | 0.554977 | + | 0.403215i | ||||
\(512\) | −17.2440 | − | 12.5285i | −0.762083 | − | 0.553685i | ||||
\(513\) | −4.75245 | + | 14.6265i | −0.209826 | + | 0.645778i | ||||
\(514\) | −3.88396 | − | 11.9536i | −0.171314 | − | 0.527251i | ||||
\(515\) | 23.1140 | − | 16.7933i | 1.01852 | − | 0.740000i | ||||
\(516\) | −4.72086 | −0.207824 | ||||||||
\(517\) | −2.48139 | − | 1.48492i | −0.109131 | − | 0.0653068i | ||||
\(518\) | −13.5246 | −0.594236 | ||||||||
\(519\) | −38.2191 | + | 27.7678i | −1.67763 | + | 1.21887i | ||||
\(520\) | −2.29133 | − | 7.05198i | −0.100481 | − | 0.309250i | ||||
\(521\) | 6.86751 | − | 21.1360i | 0.300871 | − | 0.925986i | −0.680315 | − | 0.732920i | \(-0.738157\pi\) |
0.981186 | − | 0.193066i | \(-0.0618431\pi\) | |||||||
\(522\) | 3.06690 | + | 2.22823i | 0.134234 | + | 0.0975270i | ||||
\(523\) | −23.2937 | − | 16.9239i | −1.01856 | − | 0.740029i | −0.0525746 | − | 0.998617i | \(-0.516743\pi\) |
−0.965988 | + | 0.258588i | \(0.916743\pi\) | |||||||
\(524\) | −4.05051 | + | 12.4662i | −0.176947 | + | 0.544587i | ||||
\(525\) | −25.9207 | − | 79.7756i | −1.13127 | − | 3.48169i | ||||
\(526\) | −7.80761 | + | 5.67256i | −0.340428 | + | 0.247335i | ||||
\(527\) | −5.68311 | −0.247560 | ||||||||
\(528\) | 7.90830 | + | 18.5383i | 0.344165 | + | 0.806777i | ||||
\(529\) | −22.3944 | −0.973669 | ||||||||
\(530\) | −3.17804 | + | 2.30898i | −0.138045 | + | 0.100296i | ||||
\(531\) | −3.38368 | − | 10.4139i | −0.146839 | − | 0.451925i | ||||
\(532\) | −9.58150 | + | 29.4888i | −0.415411 | + | 1.27850i | ||||
\(533\) | −7.03812 | − | 5.11349i | −0.304855 | − | 0.221490i | ||||
\(534\) | 9.28291 | + | 6.74443i | 0.401711 | + | 0.291860i | ||||
\(535\) | 10.1212 | − | 31.1498i | 0.437578 | − | 1.34673i | ||||
\(536\) | 6.13480 | + | 18.8810i | 0.264983 | + | 0.815534i | ||||
\(537\) | 14.4702 | − | 10.5132i | 0.624437 | − | 0.453680i | ||||
\(538\) | 13.1408 | 0.566540 | ||||||||
\(539\) | −24.6752 | + | 2.20338i | −1.06284 | + | 0.0949063i | ||||
\(540\) | −19.7229 | −0.848737 | ||||||||
\(541\) | 20.0344 | − | 14.5559i | 0.861347 | − | 0.625805i | −0.0669041 | − | 0.997759i | \(-0.521312\pi\) |
0.928251 | + | 0.371954i | \(0.121312\pi\) | |||||||
\(542\) | −4.04270 | − | 12.4421i | −0.173649 | − | 0.534436i | ||||
\(543\) | −4.41673 | + | 13.5933i | −0.189540 | + | 0.583344i | ||||
\(544\) | 2.32253 | + | 1.68742i | 0.0995776 | + | 0.0723474i | ||||
\(545\) | −1.96747 | − | 1.42945i | −0.0842771 | − | 0.0612309i | ||||
\(546\) | 1.73954 | − | 5.35375i | 0.0744454 | − | 0.229119i | ||||
\(547\) | 3.90127 | + | 12.0069i | 0.166806 | + | 0.513376i | 0.999165 | − | 0.0408609i | \(-0.0130100\pi\) |
−0.832359 | + | 0.554237i | \(0.813010\pi\) | |||||||
\(548\) | −17.3228 | + | 12.5858i | −0.739994 | + | 0.537637i | ||||
\(549\) | −16.7296 | −0.714002 | ||||||||
\(550\) | −14.9878 | + | 1.33834i | −0.639081 | + | 0.0570669i | ||||
\(551\) | −7.87739 | −0.335588 | ||||||||
\(552\) | 3.44315 | − | 2.50159i | 0.146550 | − | 0.106475i | ||||
\(553\) | 10.3497 | + | 31.8531i | 0.440114 | + | 1.35453i | ||||
\(554\) | 0.983571 | − | 3.02712i | 0.0417879 | − | 0.128610i | ||||
\(555\) | 50.8369 | + | 36.9352i | 2.15791 | + | 1.56781i | ||||
\(556\) | 2.10697 | + | 1.53081i | 0.0893556 | + | 0.0649206i | ||||
\(557\) | 13.3327 | − | 41.0339i | 0.564926 | − | 1.73866i | −0.103245 | − | 0.994656i | \(-0.532923\pi\) |
0.668171 | − | 0.744008i | \(-0.267077\pi\) | |||||||
\(558\) | 7.54154 | + | 23.2105i | 0.319259 | + | 0.982577i | ||||
\(559\) | −0.839897 | + | 0.610221i | −0.0355239 | + | 0.0258096i | ||||
\(560\) | −31.3407 | −1.32439 | ||||||||
\(561\) | −1.88036 | − | 4.40787i | −0.0793890 | − | 0.186101i | ||||
\(562\) | 2.31091 | 0.0974797 | ||||||||
\(563\) | 9.63844 | − | 7.00273i | 0.406212 | − | 0.295130i | −0.365855 | − | 0.930672i | \(-0.619223\pi\) |
0.772066 | + | 0.635542i | \(0.219223\pi\) | |||||||
\(564\) | −1.22518 | − | 3.77073i | −0.0515896 | − | 0.158776i | ||||
\(565\) | −4.50719 | + | 13.8717i | −0.189619 | + | 0.583586i | ||||
\(566\) | 13.7313 | + | 9.97636i | 0.577169 | + | 0.419338i | ||||
\(567\) | 12.3061 | + | 8.94090i | 0.516808 | + | 0.375483i | ||||
\(568\) | 2.89102 | − | 8.89766i | 0.121305 | − | 0.373337i | ||||
\(569\) | 9.48744 | + | 29.1993i | 0.397734 | + | 1.22410i | 0.926812 | + | 0.375526i | \(0.122538\pi\) |
−0.529078 | + | 0.848573i | \(0.677462\pi\) | |||||||
\(570\) | −20.9294 | + | 15.2061i | −0.876636 | + | 0.636913i | ||||
\(571\) | −25.3360 | −1.06028 | −0.530138 | − | 0.847911i | \(-0.677860\pi\) | ||||
−0.530138 | + | 0.847911i | \(0.677860\pi\) | |||||||
\(572\) | 4.82539 | + | 2.88763i | 0.201760 | + | 0.120738i | ||||
\(573\) | 37.1826 | 1.55333 | ||||||||
\(574\) | 14.7727 | − | 10.7330i | 0.616600 | − | 0.447986i | ||||
\(575\) | −1.97728 | − | 6.08543i | −0.0824581 | − | 0.253780i | ||||
\(576\) | −2.06189 | + | 6.34583i | −0.0859119 | + | 0.264410i | ||||
\(577\) | 7.38018 | + | 5.36201i | 0.307241 | + | 0.223224i | 0.730712 | − | 0.682686i | \(-0.239188\pi\) |
−0.423471 | + | 0.905910i | \(0.639188\pi\) | |||||||
\(578\) | 7.45941 | + | 5.41958i | 0.310270 | + | 0.225425i | ||||
\(579\) | −13.5960 | + | 41.8442i | −0.565030 | + | 1.73899i | ||||
\(580\) | −3.12176 | − | 9.60778i | −0.129624 | − | 0.398941i | ||||
\(581\) | −23.0122 | + | 16.7193i | −0.954705 | + | 0.693634i | ||||
\(582\) | −4.32269 | −0.179181 | ||||||||
\(583\) | 1.44934 | − | 6.32953i | 0.0600256 | − | 0.262142i | ||||
\(584\) | 8.31294 | 0.343992 | ||||||||
\(585\) | −12.3343 | + | 8.96137i | −0.509959 | + | 0.370507i | ||||
\(586\) | 0.659224 | + | 2.02888i | 0.0272323 | + | 0.0838124i | ||||
\(587\) | −4.82392 | + | 14.8465i | −0.199104 | + | 0.612780i | 0.800800 | + | 0.598932i | \(0.204408\pi\) |
−0.999904 | + | 0.0138479i | \(0.995592\pi\) | |||||||
\(588\) | −27.4789 | − | 19.9646i | −1.13321 | − | 0.823327i | ||||
\(589\) | −41.0276 | − | 29.8083i | −1.69051 | − | 1.22823i | ||||
\(590\) | 1.61925 | − | 4.98355i | 0.0666636 | − | 0.205169i | ||||
\(591\) | 19.3924 | + | 59.6838i | 0.797698 | + | 2.45506i | ||||
\(592\) | 11.8116 | − | 8.58164i | 0.485454 | − | 0.352703i | ||||
\(593\) | −13.7793 | −0.565847 | −0.282924 | − | 0.959142i | \(-0.591304\pi\) | ||||
−0.282924 | + | 0.959142i | \(0.591304\pi\) | |||||||
\(594\) | −4.41153 | + | 3.84879i | −0.181007 | + | 0.157918i | ||||
\(595\) | 7.45191 | 0.305498 | ||||||||
\(596\) | −2.07730 | + | 1.50925i | −0.0850894 | + | 0.0618211i | ||||
\(597\) | −13.4861 | − | 41.5061i | −0.551951 | − | 1.69873i | ||||
\(598\) | 0.132695 | − | 0.408394i | 0.00542631 | − | 0.0167005i | ||||
\(599\) | −14.6828 | − | 10.6677i | −0.599924 | − | 0.435870i | 0.245928 | − | 0.969288i | \(-0.420907\pi\) |
−0.845852 | + | 0.533418i | \(0.820907\pi\) | |||||||
\(600\) | −36.3788 | − | 26.4307i | −1.48516 | − | 1.07903i | ||||
\(601\) | −7.75926 | + | 23.8806i | −0.316507 | + | 0.974108i | 0.658623 | + | 0.752473i | \(0.271139\pi\) |
−0.975130 | + | 0.221635i | \(0.928861\pi\) | |||||||
\(602\) | −0.673370 | − | 2.07242i | −0.0274445 | − | 0.0844655i | ||||
\(603\) | 33.0238 | − | 23.9932i | 1.34483 | − | 0.977077i | ||||
\(604\) | 24.3184 | 0.989504 | ||||||||
\(605\) | 27.6820 | − | 28.8720i | 1.12543 | − | 1.17381i | ||||
\(606\) | 9.67371 | 0.392968 | ||||||||
\(607\) | −5.35137 | + | 3.88800i | −0.217205 | + | 0.157809i | −0.691068 | − | 0.722790i | \(-0.742859\pi\) |
0.473862 | + | 0.880599i | \(0.342859\pi\) | |||||||
\(608\) | 7.91622 | + | 24.3636i | 0.321045 | + | 0.988075i | ||||
\(609\) | 5.16557 | − | 15.8980i | 0.209320 | − | 0.644219i | ||||
\(610\) | −6.47692 | − | 4.70576i | −0.262243 | − | 0.190531i | ||||
\(611\) | −0.705382 | − | 0.512490i | −0.0285367 | − | 0.0207331i | ||||
\(612\) | 1.18353 | − | 3.64253i | 0.0478413 | − | 0.147240i | ||||
\(613\) | −6.81385 | − | 20.9709i | −0.275209 | − | 0.847005i | −0.989164 | − | 0.146814i | \(-0.953098\pi\) |
0.713955 | − | 0.700191i | \(-0.246902\pi\) | |||||||
\(614\) | 7.63801 | − | 5.54934i | 0.308245 | − | 0.223953i | ||||
\(615\) | −84.8398 | −3.42107 | ||||||||
\(616\) | −19.3855 | + | 16.9127i | −0.781065 | + | 0.681431i | ||||
\(617\) | 12.3573 | 0.497484 | 0.248742 | − | 0.968570i | \(-0.419983\pi\) | ||||
0.248742 | + | 0.968570i | \(0.419983\pi\) | |||||||
\(618\) | 9.40693 | − | 6.83453i | 0.378402 | − | 0.274925i | ||||
\(619\) | 12.6875 | + | 39.0480i | 0.509952 | + | 1.56947i | 0.792283 | + | 0.610154i | \(0.208892\pi\) |
−0.282331 | + | 0.959317i | \(0.591108\pi\) | |||||||
\(620\) | 20.0972 | − | 61.8528i | 0.807123 | − | 2.48407i | ||||
\(621\) | −2.01404 | − | 1.46328i | −0.0808206 | − | 0.0587196i | ||||
\(622\) | 4.31170 | + | 3.13263i | 0.172883 | + | 0.125607i | ||||
\(623\) | 9.11401 | − | 28.0500i | 0.365145 | − | 1.12380i | ||||
\(624\) | 1.87785 | + | 5.77944i | 0.0751743 | + | 0.231363i | ||||
\(625\) | −1.20843 | + | 0.877979i | −0.0483374 | + | 0.0351192i | ||||
\(626\) | −5.10302 | −0.203958 | ||||||||
\(627\) | 9.54484 | − | 41.6840i | 0.381184 | − | 1.66470i | ||||
\(628\) | −16.4614 | −0.656880 | ||||||||
\(629\) | −2.80846 | + | 2.04046i | −0.111981 | + | 0.0813586i | ||||
\(630\) | −9.88874 | − | 30.4344i | −0.393977 | − | 1.21254i | ||||
\(631\) | 10.7360 | − | 33.0419i | 0.427393 | − | 1.31538i | −0.473292 | − | 0.880906i | \(-0.656934\pi\) |
0.900685 | − | 0.434474i | \(-0.143066\pi\) | |||||||
\(632\) | 14.5254 | + | 10.5534i | 0.577791 | + | 0.419790i | ||||
\(633\) | −17.4561 | − | 12.6826i | −0.693817 | − | 0.504087i | ||||
\(634\) | −4.97208 | + | 15.3025i | −0.197467 | + | 0.607739i | ||||
\(635\) | 22.8299 | + | 70.2633i | 0.905978 | + | 2.78831i | ||||
\(636\) | 7.20249 | − | 5.23291i | 0.285597 | − | 0.207499i | ||||
\(637\) | −7.46947 | −0.295951 | ||||||||
\(638\) | −2.57316 | − | 1.53984i | −0.101872 | − | 0.0609628i | ||||
\(639\) | −19.2362 | −0.760973 | ||||||||
\(640\) | −33.9344 | + | 24.6548i | −1.34138 | + | 0.974567i | ||||
\(641\) | 5.78848 | + | 17.8151i | 0.228631 | + | 0.703655i | 0.997903 | + | 0.0647326i | \(0.0206195\pi\) |
−0.769271 | + | 0.638922i | \(0.779381\pi\) | |||||||
\(642\) | 4.11913 | − | 12.6774i | 0.162569 | − | 0.500336i | ||||
\(643\) | 17.1099 | + | 12.4311i | 0.674750 | + | 0.490234i | 0.871612 | − | 0.490197i | \(-0.163075\pi\) |
−0.196862 | + | 0.980431i | \(0.563075\pi\) | |||||||
\(644\) | −4.06054 | − | 2.95016i | −0.160008 | − | 0.116252i | ||||
\(645\) | −3.12861 | + | 9.62887i | −0.123189 | + | 0.379137i | ||||
\(646\) | −0.441641 | − | 1.35923i | −0.0173761 | − | 0.0534783i | ||||
\(647\) | −14.7003 | + | 10.6804i | −0.577928 | + | 0.419889i | −0.837977 | − | 0.545706i | \(-0.816261\pi\) |
0.260048 | + | 0.965596i | \(0.416261\pi\) | |||||||
\(648\) | 8.15435 | 0.320333 | ||||||||
\(649\) | 3.39866 | + | 7.96700i | 0.133409 | + | 0.312732i | ||||
\(650\) | −4.53697 | −0.177954 | ||||||||
\(651\) | 87.0622 | − | 63.2544i | 3.41224 | − | 2.47914i | ||||
\(652\) | 1.06242 | + | 3.26980i | 0.0416077 | + | 0.128055i | ||||
\(653\) | −1.68209 | + | 5.17695i | −0.0658254 | + | 0.202590i | −0.978559 | − | 0.205964i | \(-0.933967\pi\) |
0.912734 | + | 0.408554i | \(0.133967\pi\) | |||||||
\(654\) | −0.800721 | − | 0.581758i | −0.0313107 | − | 0.0227485i | ||||
\(655\) | 22.7422 | + | 16.5232i | 0.888612 | + | 0.645614i | ||||
\(656\) | −6.09133 | + | 18.7472i | −0.237826 | + | 0.731954i | ||||
\(657\) | −5.28187 | − | 16.2559i | −0.206065 | − | 0.634204i | ||||
\(658\) | 1.48056 | − | 1.07569i | 0.0577184 | − | 0.0419349i | ||||
\(659\) | 3.93194 | 0.153166 | 0.0765832 | − | 0.997063i | \(-0.475599\pi\) | ||||
0.0765832 | + | 0.997063i | \(0.475599\pi\) | |||||||
\(660\) | 54.6231 | − | 4.87758i | 2.12620 | − | 0.189860i | ||||
\(661\) | 38.3348 | 1.49105 | 0.745526 | − | 0.666477i | \(-0.232198\pi\) | ||||
0.745526 | + | 0.666477i | \(0.232198\pi\) | |||||||
\(662\) | 16.2238 | − | 11.7873i | 0.630555 | − | 0.458125i | ||||
\(663\) | −0.446499 | − | 1.37418i | −0.0173406 | − | 0.0533688i | ||||
\(664\) | −4.71204 | + | 14.5022i | −0.182862 | + | 0.562793i | ||||
\(665\) | 53.7969 | + | 39.0857i | 2.08615 | + | 1.51568i | ||||
\(666\) | 12.0603 | + | 8.76234i | 0.467328 | + | 0.339534i | ||||
\(667\) | 0.394039 | − | 1.21273i | 0.0152573 | − | 0.0469570i | ||||
\(668\) | −5.86890 | − | 18.0626i | −0.227074 | − | 0.698863i | ||||
\(669\) | −18.2363 | + | 13.2495i | −0.705057 | + | 0.512254i | ||||
\(670\) | 19.5341 | 0.754670 | ||||||||
\(671\) | 13.1812 | − | 1.17701i | 0.508853 | − | 0.0454382i | ||||
\(672\) | −54.3612 | −2.09703 | ||||||||
\(673\) | 23.0134 | − | 16.7202i | 0.887101 | − | 0.644516i | −0.0480197 | − | 0.998846i | \(-0.515291\pi\) |
0.935120 | + | 0.354330i | \(0.115291\pi\) | |||||||
\(674\) | −2.04606 | − | 6.29712i | −0.0788112 | − | 0.242556i | ||||
\(675\) | −8.12803 | + | 25.0155i | −0.312848 | + | 0.962847i | ||||
\(676\) | 1.37171 | + | 0.996604i | 0.0527580 | + | 0.0383309i | ||||
\(677\) | 12.6075 | + | 9.15990i | 0.484547 | + | 0.352044i | 0.803083 | − | 0.595867i | \(-0.203191\pi\) |
−0.318537 | + | 0.947911i | \(0.603191\pi\) | |||||||
\(678\) | −1.83434 | + | 5.64551i | −0.0704473 | + | 0.216814i | ||||
\(679\) | 3.43350 | + | 10.5672i | 0.131766 | + | 0.405533i | ||||
\(680\) | 3.23185 | − | 2.34808i | 0.123936 | − | 0.0900447i | ||||
\(681\) | −66.5080 | −2.54859 | ||||||||
\(682\) | −7.57491 | − | 17.7568i | −0.290058 | − | 0.679944i | ||||
\(683\) | −34.3475 | −1.31427 | −0.657135 | − | 0.753773i | \(-0.728232\pi\) | ||||
−0.657135 | + | 0.753773i | \(0.728232\pi\) | |||||||
\(684\) | 27.6494 | − | 20.0885i | 1.05720 | − | 0.768103i | ||||
\(685\) | 14.1903 | + | 43.6733i | 0.542184 | + | 1.66867i | ||||
\(686\) | 0.304501 | − | 0.937158i | 0.0116259 | − | 0.0357808i | ||||
\(687\) | −14.2056 | − | 10.3210i | −0.541978 | − | 0.393770i | ||||
\(688\) | 1.90308 | + | 1.38267i | 0.0725542 | + | 0.0527137i | ||||
\(689\) | 0.604999 | − | 1.86200i | 0.0230486 | − | 0.0709364i | ||||
\(690\) | −1.29407 | − | 3.98272i | −0.0492642 | − | 0.151620i | ||||
\(691\) | −19.4465 | + | 14.1287i | −0.739779 | + | 0.537481i | −0.892642 | − | 0.450767i | \(-0.851151\pi\) |
0.152863 | + | 0.988247i | \(0.451151\pi\) | |||||||
\(692\) | 29.8660 | 1.13534 | ||||||||
\(693\) | 45.3898 | + | 27.1623i | 1.72422 | + | 1.03181i | ||||
\(694\) | 9.08583 | 0.344893 | ||||||||
\(695\) | 4.51864 | − | 3.28298i | 0.171402 | − | 0.124531i | ||||
\(696\) | −2.76914 | − | 8.52254i | −0.104964 | − | 0.323046i | ||||
\(697\) | 1.44834 | − | 4.45753i | 0.0548598 | − | 0.168841i | ||||
\(698\) | 11.5064 | + | 8.35988i | 0.435523 | + | 0.316426i | ||||
\(699\) | −12.9539 | − | 9.41153i | −0.489960 | − | 0.355977i | ||||
\(700\) | −16.3871 | + | 50.4342i | −0.619373 | + | 1.90623i | ||||
\(701\) | 8.49859 | + | 26.1560i | 0.320987 | + | 0.987898i | 0.973219 | + | 0.229878i | \(0.0738328\pi\) |
−0.652232 | + | 0.758019i | \(0.726167\pi\) | |||||||
\(702\) | −1.42807 | + | 1.03755i | −0.0538989 | + | 0.0391599i | ||||
\(703\) | −30.9772 | −1.16833 | ||||||||
\(704\) | 1.17809 | − | 5.14491i | 0.0444008 | − | 0.193906i | ||||
\(705\) | −8.50291 | −0.320238 | ||||||||
\(706\) | −4.25311 | + | 3.09006i | −0.160068 | + | 0.116296i | ||||
\(707\) | −7.68380 | − | 23.6483i | −0.288979 | − | 0.889386i | ||||
\(708\) | −3.66977 | + | 11.2944i | −0.137918 | + | 0.424469i | ||||
\(709\) | 14.5489 | + | 10.5704i | 0.546394 | + | 0.396978i | 0.826454 | − | 0.563004i | \(-0.190355\pi\) |
−0.280060 | + | 0.959982i | \(0.590355\pi\) | |||||||
\(710\) | −7.44737 | − | 5.41083i | −0.279495 | − | 0.203065i | ||||
\(711\) | 11.4079 | − | 35.1098i | 0.427829 | − | 1.31672i | ||||
\(712\) | −4.88581 | − | 15.0370i | −0.183103 | − | 0.563534i | ||||
\(713\) | 6.64127 | − | 4.82516i | 0.248717 | − | 0.180704i | ||||
\(714\) | 3.03278 | 0.113499 | ||||||||
\(715\) | 9.08762 | − | 7.92839i | 0.339858 | − | 0.296505i | ||||
\(716\) | −11.3077 | −0.422587 | ||||||||
\(717\) | 43.8945 | − | 31.8912i | 1.63927 | − | 1.19100i | ||||
\(718\) | −5.41151 | − | 16.6549i | −0.201956 | − | 0.621556i | ||||
\(719\) | 7.53309 | − | 23.1845i | 0.280937 | − | 0.864635i | −0.706650 | − | 0.707563i | \(-0.749795\pi\) |
0.987587 | − | 0.157072i | \(-0.0502055\pi\) | |||||||
\(720\) | 27.9476 | + | 20.3051i | 1.04154 | + | 0.756726i | ||||
\(721\) | −24.1796 | − | 17.5675i | −0.900494 | − | 0.654247i | ||||
\(722\) | 0.701198 | − | 2.15806i | 0.0260959 | − | 0.0803149i | ||||
\(723\) | 15.0703 | + | 46.3817i | 0.560472 | + | 1.72496i | ||||
\(724\) | 7.31023 | − | 5.31119i | 0.271682 | − | 0.197389i | ||||
\(725\) | −13.4725 | −0.500358 | ||||||||
\(726\) | 11.2660 | − | 11.7503i | 0.418122 | − | 0.436096i | ||||
\(727\) | −7.34590 | −0.272444 | −0.136222 | − | 0.990678i | \(-0.543496\pi\) | ||||
−0.136222 | + | 0.990678i | \(0.543496\pi\) | |||||||
\(728\) | −6.27533 | + | 4.55930i | −0.232579 | + | 0.168979i | ||||
\(729\) | −13.1348 | − | 40.4246i | −0.486472 | − | 1.49721i | ||||
\(730\) | 2.52763 | − | 7.77924i | 0.0935517 | − | 0.287922i | ||||
\(731\) | −0.452496 | − | 0.328758i | −0.0167362 | − | 0.0121596i | ||||
\(732\) | 14.6789 | + | 10.6648i | 0.542546 | + | 0.394183i | ||||
\(733\) | 2.35444 | − | 7.24623i | 0.0869633 | − | 0.267646i | −0.898113 | − | 0.439765i | \(-0.855062\pi\) |
0.985076 | + | 0.172120i | \(0.0550616\pi\) | |||||||
\(734\) | −0.438307 | − | 1.34897i | −0.0161782 | − | 0.0497914i | ||||
\(735\) | −58.9316 | + | 42.8163i | −2.17372 | + | 1.57930i | ||||
\(736\) | −4.14677 | −0.152852 | ||||||||
\(737\) | −24.3312 | + | 21.2275i | −0.896252 | + | 0.781925i | ||||
\(738\) | −20.1270 | −0.740885 | ||||||||
\(739\) | −20.6501 | + | 15.0032i | −0.759626 | + | 0.551900i | −0.898796 | − | 0.438368i | \(-0.855557\pi\) |
0.139170 | + | 0.990269i | \(0.455557\pi\) | |||||||
\(740\) | −12.2761 | − | 37.7818i | −0.451277 | − | 1.38889i | ||||
\(741\) | 3.98430 | − | 12.2624i | 0.146367 | − | 0.450471i | ||||
\(742\) | 3.32455 | + | 2.41543i | 0.122048 | + | 0.0886731i | ||||
\(743\) | 42.0759 | + | 30.5699i | 1.54362 | + | 1.12150i | 0.948017 | + | 0.318220i | \(0.103085\pi\) |
0.595598 | + | 0.803282i | \(0.296915\pi\) | |||||||
\(744\) | 17.8271 | − | 54.8662i | 0.653574 | − | 2.01149i | ||||
\(745\) | 1.70166 | + | 5.23716i | 0.0623438 | + | 0.191875i | ||||
\(746\) | −16.0817 | + | 11.6840i | −0.588792 | + | 0.427783i | ||||
\(747\) | 31.3528 | 1.14714 | ||||||||
\(748\) | −0.676225 | + | 2.95320i | −0.0247253 | + | 0.107980i | ||||
\(749\) | −34.2629 | −1.25194 | ||||||||
\(750\) | −14.0278 | + | 10.1918i | −0.512223 | + | 0.372152i | ||||
\(751\) | −13.2363 | − | 40.7370i | −0.482998 | − | 1.48652i | −0.834859 | − | 0.550464i | \(-0.814451\pi\) |
0.351861 | − | 0.936052i | \(-0.385549\pi\) | |||||||
\(752\) | −0.610491 | + | 1.87890i | −0.0222623 | + | 0.0685164i | ||||
\(753\) | −60.7291 | − | 44.1222i | −2.21309 | − | 1.60790i | ||||
\(754\) | −0.731468 | − | 0.531443i | −0.0266385 | − | 0.0193540i | ||||
\(755\) | 16.1163 | − | 49.6010i | 0.586534 | − | 1.80517i | ||||
\(756\) | 6.37568 | + | 19.6223i | 0.231881 | + | 0.713657i | ||||
\(757\) | 1.47080 | − | 1.06860i | 0.0534570 | − | 0.0388388i | −0.560736 | − | 0.827995i | \(-0.689482\pi\) |
0.614193 | + | 0.789156i | \(0.289482\pi\) | |||||||
\(758\) | 2.82386 | 0.102567 | ||||||||
\(759\) | 5.93983 | + | 3.55453i | 0.215602 | + | 0.129021i | ||||
\(760\) | 35.6473 | 1.29306 | ||||||||
\(761\) | −14.7867 | + | 10.7432i | −0.536017 | + | 0.389439i | −0.822604 | − | 0.568615i | \(-0.807479\pi\) |
0.286587 | + | 0.958054i | \(0.407479\pi\) | |||||||
\(762\) | 9.29134 | + | 28.5958i | 0.336590 | + | 1.03592i | ||||
\(763\) | −0.786152 | + | 2.41953i | −0.0284606 | + | 0.0875928i | ||||
\(764\) | −19.0175 | − | 13.8170i | −0.688028 | − | 0.499881i | ||||
\(765\) | −6.64511 | − | 4.82796i | −0.240255 | − | 0.174555i | ||||
\(766\) | −6.42668 | + | 19.7793i | −0.232205 | + | 0.714655i | ||||
\(767\) | 0.807023 | + | 2.48376i | 0.0291399 | + | 0.0896834i | ||||
\(768\) | −6.90483 | + | 5.01665i | −0.249157 | + | 0.181023i | ||||
\(769\) | 39.1521 | 1.41186 | 0.705930 | − | 0.708282i | \(-0.250529\pi\) | ||||
0.705930 | + | 0.708282i | \(0.250529\pi\) | |||||||
\(770\) | 9.93251 | + | 23.2834i | 0.357943 | + | 0.839075i | ||||
\(771\) | 61.0893 | 2.20008 | ||||||||
\(772\) | 22.5031 | − | 16.3494i | 0.809903 | − | 0.588429i | ||||
\(773\) | −14.2613 | − | 43.8919i | −0.512944 | − | 1.57868i | −0.786991 | − | 0.616964i | \(-0.788362\pi\) |
0.274047 | − | 0.961716i | \(-0.411638\pi\) | |||||||
\(774\) | −0.742217 | + | 2.28431i | −0.0266784 | + | 0.0821078i | ||||
\(775\) | −70.1687 | − | 50.9805i | −2.52053 | − | 1.83128i | ||||
\(776\) | 4.81880 | + | 3.50106i | 0.172985 | + | 0.125681i | ||||
\(777\) | 20.3132 | − | 62.5176i | 0.728732 | − | 2.24281i | ||||
\(778\) | −0.797564 | − | 2.45465i | −0.0285940 | − | 0.0880034i | ||||
\(779\) | 33.8359 | − | 24.5832i | 1.21230 | − | 0.880785i | ||||
\(780\) | 16.5350 | 0.592049 | ||||||||
\(781\) | 15.1561 | − | 1.35337i | 0.542329 | − | 0.0484274i | ||||
\(782\) | 0.231346 | 0.00827292 | ||||||||
\(783\) | −4.24065 | + | 3.08101i | −0.151549 | + | 0.110106i | ||||
\(784\) | 5.23001 | + | 16.0963i | 0.186786 | + | 0.574868i | ||||
\(785\) | −10.9093 | + | 33.5753i | −0.389369 | + | 1.19835i | ||||
\(786\) | 9.25564 | + | 6.72462i | 0.330138 | + | 0.239859i | ||||
\(787\) | −36.3902 | − | 26.4390i | −1.29717 | − | 0.942450i | −0.297247 | − | 0.954800i | \(-0.596069\pi\) |
−0.999924 | + | 0.0123504i | \(0.996069\pi\) | |||||||
\(788\) | 12.2599 | − | 37.7321i | 0.436741 | − | 1.34415i | ||||
\(789\) | −14.4949 | − | 44.6107i | −0.516031 | − | 1.58818i | ||||
\(790\) | 14.2924 | − | 10.3840i | 0.508501 | − | 0.369448i | ||||
\(791\) | 15.2580 | 0.542512 | ||||||||
\(792\) | 28.2441 | − | 2.52206i | 1.00361 | − | 0.0896176i | ||||
\(793\) | 3.99009 | 0.141692 | ||||||||
\(794\) | 0.0182414 | − | 0.0132531i | 0.000647362 | − | 0.000470336i | ||||
\(795\) | −5.90005 | − | 18.1585i | −0.209253 | − | 0.644015i | ||||
\(796\) | −8.52595 | + | 26.2402i | −0.302194 | + | 0.930058i | ||||
\(797\) | −8.43809 | − | 6.13063i | −0.298892 | − | 0.217158i | 0.428223 | − | 0.903673i | \(-0.359140\pi\) |
−0.727116 | + | 0.686515i | \(0.759140\pi\) | |||||||
\(798\) | 21.8943 | + | 15.9071i | 0.775049 | + | 0.563106i | ||||
\(799\) | 0.145157 | − | 0.446747i | 0.00513529 | − | 0.0158048i | ||||
\(800\) | 13.5390 | + | 41.6686i | 0.478675 | + | 1.47321i | ||||
\(801\) | −26.3004 | + | 19.1084i | −0.929279 | + | 0.675160i | ||||
\(802\) | −1.57655 | −0.0556699 | ||||||||
\(803\) | 5.30525 | + | 12.4363i | 0.187218 | + | 0.438869i | ||||
\(804\) | −44.2709 | −1.56131 | ||||||||
\(805\) | −8.70827 | + | 6.32693i | −0.306926 | + | 0.222995i | ||||
\(806\) | −1.79869 | − | 5.53580i | −0.0633562 | − | 0.194990i | ||||
\(807\) | −19.7368 | + | 60.7435i | −0.694767 | + | 2.13827i | ||||
\(808\) | −10.7840 | − | 7.83500i | −0.379378 | − | 0.275634i | ||||
\(809\) | −12.0771 | − | 8.77452i | −0.424608 | − | 0.308496i | 0.354881 | − | 0.934911i | \(-0.384521\pi\) |
−0.779489 | + | 0.626416i | \(0.784521\pi\) | |||||||
\(810\) | 2.47941 | − | 7.63083i | 0.0871175 | − | 0.268120i | ||||
\(811\) | 14.0585 | + | 43.2677i | 0.493661 | + | 1.51933i | 0.819032 | + | 0.573747i | \(0.194511\pi\) |
−0.325371 | + | 0.945586i | \(0.605489\pi\) | |||||||
\(812\) | −8.54966 | + | 6.21169i | −0.300034 | + | 0.217988i | ||||
\(813\) | 63.5859 | 2.23005 | ||||||||
\(814\) | −10.1187 | − | 6.05529i | −0.354662 | − | 0.212238i | ||||
\(815\) | 7.37333 | 0.258277 | ||||||||
\(816\) | −2.64866 | + | 1.92436i | −0.0927217 | + | 0.0673662i | ||||
\(817\) | −1.54231 | − | 4.74675i | −0.0539586 | − | 0.166068i | ||||
\(818\) | −1.69002 | + | 5.20136i | −0.0590903 | + | 0.181861i | ||||
\(819\) | 12.9029 | + | 9.37451i | 0.450864 | + | 0.327572i | ||||
\(820\) | 43.3923 | + | 31.5263i | 1.51532 | + | 1.10095i | ||||
\(821\) | −13.2173 | + | 40.6787i | −0.461287 | + | 1.41970i | 0.402305 | + | 0.915506i | \(0.368209\pi\) |
−0.863592 | + | 0.504191i | \(0.831791\pi\) | |||||||
\(822\) | 5.77518 | + | 17.7742i | 0.201432 | + | 0.619945i | ||||
\(823\) | −28.3417 | + | 20.5914i | −0.987929 | + | 0.717772i | −0.959467 | − | 0.281823i | \(-0.909061\pi\) |
−0.0284623 | + | 0.999595i | \(0.509061\pi\) | |||||||
\(824\) | −16.0220 | −0.558154 | ||||||||
\(825\) | 16.3244 | − | 71.2913i | 0.568341 | − | 2.48205i | ||||
\(826\) | −5.48159 | −0.190729 | ||||||||
\(827\) | −16.9061 | + | 12.2830i | −0.587883 | + | 0.427122i | −0.841558 | − | 0.540167i | \(-0.818361\pi\) |
0.253674 | + | 0.967290i | \(0.418361\pi\) | |||||||
\(828\) | 1.70957 | + | 5.26150i | 0.0594115 | + | 0.182850i | ||||
\(829\) | 6.54346 | − | 20.1387i | 0.227264 | − | 0.699446i | −0.770790 | − | 0.637089i | \(-0.780138\pi\) |
0.998054 | − | 0.0623567i | \(-0.0198616\pi\) | |||||||
\(830\) | 12.1384 | + | 8.81903i | 0.421329 | + | 0.306113i | ||||
\(831\) | 12.5156 | + | 9.09315i | 0.434163 | + | 0.315438i | ||||
\(832\) | 0.491769 | − | 1.51351i | 0.0170490 | − | 0.0524715i | ||||
\(833\) | −1.24354 | − | 3.82723i | −0.0430862 | − | 0.132606i | ||||
\(834\) | 1.83900 | − | 1.33611i | 0.0636792 | − | 0.0462657i | ||||
\(835\) | −40.7307 | −1.40955 | ||||||||
\(836\) | −20.3715 | + | 17.7729i | −0.704564 | + | 0.614689i | ||||
\(837\) | −33.7451 | −1.16640 | ||||||||
\(838\) | −9.40071 | + | 6.83001i | −0.324742 | + | 0.235939i | ||||
\(839\) | −8.47164 | − | 26.0730i | −0.292473 | − | 0.900141i | −0.984058 | − | 0.177846i | \(-0.943087\pi\) |
0.691585 | − | 0.722295i | \(-0.256913\pi\) | |||||||
\(840\) | −23.3756 | + | 71.9426i | −0.806534 | + | 2.48226i | ||||
\(841\) | 21.2894 | + | 15.4677i | 0.734117 | + | 0.533367i | ||||
\(842\) | −14.9295 | − | 10.8469i | −0.514504 | − | 0.373809i | ||||
\(843\) | −3.47086 | + | 10.6822i | −0.119543 | + | 0.367914i | ||||
\(844\) | 4.21528 | + | 12.9733i | 0.145096 | + | 0.446559i | ||||
\(845\) | 2.94178 | − | 2.13733i | 0.101200 | − | 0.0735262i | ||||
\(846\) | −2.01719 | −0.0693524 | ||||||||
\(847\) | −37.6734 | − | 18.2077i | −1.29447 | − | 0.625622i | ||||
\(848\) | −4.43612 | −0.152337 | ||||||||
\(849\) | −66.7395 | + | 48.4891i | −2.29049 | + | 1.66414i | ||||
\(850\) | −0.755330 | − | 2.32467i | −0.0259076 | − | 0.0797355i | ||||
\(851\) | 1.54953 | − | 4.76896i | 0.0531171 | − | 0.163478i | ||||
\(852\) | 16.8782 | + | 12.2627i | 0.578238 | + | 0.420115i | ||||
\(853\) | 12.3449 | + | 8.96911i | 0.422682 | + | 0.307096i | 0.778716 | − | 0.627377i | \(-0.215871\pi\) |
−0.356034 | + | 0.934473i | \(0.615871\pi\) | |||||||
\(854\) | −2.58802 | + | 7.96511i | −0.0885602 | + | 0.272560i | ||||
\(855\) | −22.6495 | − | 69.7081i | −0.774598 | − | 2.38397i | ||||
\(856\) | −14.8596 | + | 10.7962i | −0.507892 | + | 0.369005i | ||||
\(857\) | −28.5193 | −0.974201 | −0.487100 | − | 0.873346i | \(-0.661945\pi\) | ||||
−0.487100 | + | 0.873346i | \(0.661945\pi\) | |||||||
\(858\) | 3.69849 | − | 3.22670i | 0.126264 | − | 0.110158i | ||||
\(859\) | 15.0825 | 0.514609 | 0.257305 | − | 0.966330i | \(-0.417166\pi\) | ||||
0.257305 | + | 0.966330i | \(0.417166\pi\) | |||||||
\(860\) | 5.17824 | − | 3.76221i | 0.176576 | − | 0.128290i | ||||
\(861\) | 27.4256 | + | 84.4073i | 0.934662 | + | 2.87659i | ||||
\(862\) | −1.68641 | + | 5.19024i | −0.0574394 | + | 0.176780i | ||||
\(863\) | 20.8735 | + | 15.1655i | 0.710541 | + | 0.516238i | 0.883348 | − | 0.468718i | \(-0.155284\pi\) |
−0.172807 | + | 0.984956i | \(0.555284\pi\) | |||||||
\(864\) | 13.7907 | + | 10.0195i | 0.469169 | + | 0.340871i | ||||
\(865\) | 19.7928 | − | 60.9161i | 0.672976 | − | 2.07121i | ||||
\(866\) | 0.265759 | + | 0.817921i | 0.00903085 | + | 0.0277941i | ||||
\(867\) | −36.2557 | + | 26.3413i | −1.23131 | + | 0.894598i | ||||
\(868\) | −68.0342 | −2.30923 | ||||||||
\(869\) | −6.51805 | + | 28.4655i | −0.221110 | + | 0.965625i | ||||
\(870\) | −8.81736 | −0.298937 | ||||||||
\(871\) | −7.87631 | + | 5.72248i | −0.266879 | + | 0.193899i | ||||
\(872\) | 0.421437 | + | 1.29705i | 0.0142717 | + | 0.0439237i | ||||
\(873\) | 3.78455 | − | 11.6476i | 0.128088 | − | 0.394213i | ||||
\(874\) | 1.67014 | + | 1.21342i | 0.0564932 | + | 0.0410447i | ||||
\(875\) | 36.0570 | + | 26.1970i | 1.21895 | + | 0.885619i | ||||
\(876\) | −5.72844 | + | 17.6303i | −0.193546 | + | 0.595674i | ||||
\(877\) | 5.55934 | + | 17.1099i | 0.187726 | + | 0.577760i | 0.999985 | − | 0.00553674i | \(-0.00176241\pi\) |
−0.812259 | + | 0.583297i | \(0.801762\pi\) | |||||||
\(878\) | 1.42963 | − | 1.03868i | 0.0482476 | − | 0.0350539i | ||||
\(879\) | −10.3687 | −0.349726 | ||||||||
\(880\) | −23.4483 | − | 14.0320i | −0.790442 | − | 0.473019i | ||||
\(881\) | 23.6578 | 0.797052 | 0.398526 | − | 0.917157i | \(-0.369522\pi\) | ||||
0.398526 | + | 0.917157i | \(0.369522\pi\) | |||||||
\(882\) | −13.9807 | + | 10.1575i | −0.470753 | + | 0.342022i | ||||
\(883\) | 10.2829 | + | 31.6476i | 0.346048 | + | 1.06503i | 0.961021 | + | 0.276477i | \(0.0891670\pi\) |
−0.614973 | + | 0.788548i | \(0.710833\pi\) | |||||||
\(884\) | −0.282277 | + | 0.868759i | −0.00949400 | + | 0.0292195i | ||||
\(885\) | 20.6045 | + | 14.9700i | 0.692613 | + | 0.503213i | ||||
\(886\) | 12.6422 | + | 9.18509i | 0.424723 | + | 0.308579i | ||||
\(887\) | 14.1290 | − | 43.4845i | 0.474405 | − | 1.46007i | −0.372354 | − | 0.928091i | \(-0.621449\pi\) |
0.846759 | − | 0.531977i | \(-0.178551\pi\) | |||||||
\(888\) | −10.8894 | − | 33.5142i | −0.365425 | − | 1.12466i | ||||
\(889\) | 62.5251 | − | 45.4271i | 2.09702 | − | 1.52358i | ||||
\(890\) | −15.5571 | −0.521477 | ||||||||
\(891\) | 5.20404 | + | 12.1991i | 0.174342 | + | 0.408685i | ||||
\(892\) | 14.2506 | 0.477147 | ||||||||
\(893\) | 3.39114 | − | 2.46381i | 0.113480 | − | 0.0824481i | ||||
\(894\) | 0.692541 | + | 2.13142i | 0.0231620 | + | 0.0712854i | ||||
\(895\) | −7.49383 | + | 23.0636i | −0.250491 | + | 0.770932i | ||||
\(896\) | 35.4989 | + | 25.7915i | 1.18593 | + | 0.861632i | ||||
\(897\) | 1.68851 | + | 1.22677i | 0.0563776 | + | 0.0409607i | ||||
\(898\) | 1.60086 | − | 4.92695i | 0.0534215 | − | 0.164414i | ||||
\(899\) | −5.34122 | − | 16.4386i | −0.178140 | − | 0.548257i | ||||
\(900\) | 47.2883 | − | 34.3570i | 1.57628 | − | 1.14523i | ||||
\(901\) | 1.05478 | 0.0351398 | ||||||||
\(902\) | 15.8580 | − | 1.41604i | 0.528013 | − | 0.0471490i | ||||
\(903\) | 10.5912 | 0.352452 | ||||||||
\(904\) | 6.61731 | − | 4.80776i | 0.220088 | − | 0.159904i | ||||
\(905\) | −5.98830 | − | 18.4301i | −0.199058 | − | 0.612637i | ||||
\(906\) | 6.55904 | − | 20.1866i | 0.217909 | − | 0.670656i | ||||
\(907\) | 21.9637 | + | 15.9576i | 0.729294 | + | 0.529863i | 0.889340 | − | 0.457247i | \(-0.151164\pi\) |
−0.160046 | + | 0.987109i | \(0.551164\pi\) | |||||||
\(908\) | 34.0163 | + | 24.7143i | 1.12887 | + | 0.820171i | ||||
\(909\) | −8.46942 | + | 26.0662i | −0.280913 | + | 0.864561i | ||||
\(910\) | 2.35851 | + | 7.25874i | 0.0781838 | + | 0.240625i | ||||
\(911\) | −0.776479 | + | 0.564145i | −0.0257259 | + | 0.0186910i | −0.600574 | − | 0.799569i | \(-0.705061\pi\) |
0.574848 | + | 0.818260i | \(0.305061\pi\) | |||||||
\(912\) | −29.2147 | −0.967394 | ||||||||
\(913\) | −24.7027 | + | 2.20584i | −0.817542 | + | 0.0730025i | ||||
\(914\) | −1.19899 | −0.0396592 | ||||||||
\(915\) | 31.4804 | − | 22.8719i | 1.04071 | − | 0.756121i | ||||
\(916\) | 3.43036 | + | 10.5576i | 0.113342 | + | 0.348832i | ||||
\(917\) | 9.08723 | − | 27.9676i | 0.300087 | − | 0.923573i | ||||
\(918\) | −0.769374 | − | 0.558983i | −0.0253931 | − | 0.0184492i | ||||
\(919\) | 30.5295 | + | 22.1810i | 1.00708 | + | 0.731683i | 0.963594 | − | 0.267371i | \(-0.0861550\pi\) |
0.0434816 | + | 0.999054i | \(0.486155\pi\) | |||||||
\(920\) | −1.78313 | + | 5.48791i | −0.0587881 | + | 0.180931i | ||||
\(921\) | 14.1800 | + | 43.6416i | 0.467248 | + | 1.43804i | ||||
\(922\) | −11.5655 | + | 8.40283i | −0.380889 | + | 0.276732i | ||||
\(923\) | 4.58793 | 0.151013 | ||||||||
\(924\) | −22.5104 | − | 52.7679i | −0.740537 | − | 1.73594i | ||||
\(925\) | −52.9797 | −1.74196 | ||||||||
\(926\) | 1.93784 | − | 1.40793i | 0.0636815 | − | 0.0462673i | ||||
\(927\) | 10.1801 | + | 31.3310i | 0.334357 | + | 1.02905i | ||||
\(928\) | −2.69810 | + | 8.30389i | −0.0885694 | + | 0.272589i | ||||
\(929\) | −44.4655 | − | 32.3061i | −1.45887 | − | 1.05993i | −0.983656 | − | 0.180055i | \(-0.942372\pi\) |
−0.475209 | − | 0.879873i | \(-0.657628\pi\) | |||||||
\(930\) | −45.9232 | − | 33.3652i | −1.50588 | − | 1.09409i | ||||
\(931\) | 11.0967 | − | 34.1521i | 0.363679 | − | 1.11929i | ||||
\(932\) | 3.12809 | + | 9.62726i | 0.102464 | + | 0.315351i | ||||
\(933\) | −20.9566 | + | 15.2258i | −0.686088 | + | 0.498472i | ||||
\(934\) | −11.1640 | −0.365296 | ||||||||
\(935\) | 5.57532 | + | 3.33640i | 0.182333 | + | 0.109112i | ||||
\(936\) | 8.54981 | 0.279459 | ||||||||
\(937\) | 20.5432 | − | 14.9255i | 0.671117 | − | 0.487595i | −0.199282 | − | 0.979942i | \(-0.563861\pi\) |
0.870399 | + | 0.492347i | \(0.163861\pi\) | |||||||
\(938\) | −6.31467 | − | 19.4346i | −0.206181 | − | 0.634561i | ||||
\(939\) | 7.66447 | − | 23.5888i | 0.250120 | − | 0.769792i | ||||
\(940\) | 4.34891 | + | 3.15967i | 0.141846 | + | 0.103057i | ||||
\(941\) | −32.2913 | − | 23.4610i | −1.05267 | − | 0.764807i | −0.0799487 | − | 0.996799i | \(-0.525476\pi\) |
−0.972718 | + | 0.231992i | \(0.925476\pi\) | |||||||
\(942\) | −4.43987 | + | 13.6645i | −0.144659 | + | 0.445214i | ||||
\(943\) | 2.09208 | + | 6.43875i | 0.0681274 | + | 0.209674i | ||||
\(944\) | 4.78731 | − | 3.47819i | 0.155814 | − | 0.113205i | ||||
\(945\) | 44.2479 | 1.43938 | ||||||||
\(946\) | 0.424076 | − | 1.85201i | 0.0137879 | − | 0.0602142i | ||||
\(947\) | −54.4758 | −1.77023 | −0.885113 | − | 0.465377i | \(-0.845919\pi\) | ||||
−0.885113 | + | 0.465377i | \(0.845919\pi\) | |||||||
\(948\) | −32.3914 | + | 23.5337i | −1.05202 | + | 0.764339i | ||||
\(949\) | 1.25975 | + | 3.87711i | 0.0408932 | + | 0.125856i | ||||
\(950\) | 6.74014 | − | 20.7440i | 0.218679 | − | 0.673025i | ||||
\(951\) | −63.2682 | − | 45.9670i | −2.05161 | − | 1.49058i | ||||
\(952\) | −3.38085 | − | 2.45633i | −0.109574 | − | 0.0796101i | ||||
\(953\) | −8.79349 | + | 27.0636i | −0.284849 | + | 0.876675i | 0.701595 | + | 0.712576i | \(0.252472\pi\) |
−0.986444 | + | 0.164099i | \(0.947528\pi\) | |||||||
\(954\) | −1.39970 | − | 4.30783i | −0.0453170 | − | 0.139471i | ||||
\(955\) | −40.7850 | + | 29.6321i | −1.31977 | + | 0.958871i | ||||
\(956\) | −34.3011 | −1.10938 | ||||||||
\(957\) | 10.9827 | − | 9.58171i | 0.355019 | − | 0.309733i | ||||
\(958\) | 11.4544 | 0.370073 | ||||||||
\(959\) | 38.8634 | − | 28.2359i | 1.25497 | − | 0.911786i | ||||
\(960\) | −4.79581 | − | 14.7600i | −0.154784 | − | 0.476377i | ||||
\(961\) | 24.8061 | − | 76.3452i | 0.800196 | − | 2.46275i | ||||
\(962\) | −2.87644 | − | 2.08986i | −0.0927402 | − | 0.0673797i | ||||
\(963\) | 30.5533 | + | 22.1983i | 0.984568 | + | 0.715330i | ||||
\(964\) | 9.52748 | − | 29.3226i | 0.306859 | − | 0.944416i | ||||
\(965\) | −18.4338 | − | 56.7333i | −0.593404 | − | 1.82631i | ||||
\(966\) | −3.54410 | + | 2.57494i | −0.114029 | + | 0.0828473i | ||||
\(967\) | −25.6387 | −0.824484 | −0.412242 | − | 0.911074i | \(-0.635254\pi\) | ||||
−0.412242 | + | 0.911074i | \(0.635254\pi\) | |||||||
\(968\) | −22.0760 | + | 3.97424i | −0.709548 | + | 0.127737i | ||||
\(969\) | 6.94639 | 0.223150 | ||||||||
\(970\) | 4.74149 | − | 3.44489i | 0.152240 | − | 0.110609i | ||||
\(971\) | −13.9701 | − | 42.9957i | −0.448323 | − | 1.37980i | −0.878798 | − | 0.477194i | \(-0.841654\pi\) |
0.430475 | − | 0.902603i | \(-0.358346\pi\) | |||||||
\(972\) | −10.6475 | + | 32.7695i | −0.341518 | + | 1.05108i | ||||
\(973\) | −4.72696 | − | 3.43433i | −0.151539 | − | 0.110100i | ||||
\(974\) | 1.61302 | + | 1.17193i | 0.0516845 | + | 0.0375510i | ||||
\(975\) | 6.81428 | − | 20.9722i | 0.218232 | − | 0.671648i | ||||
\(976\) | −2.79380 | − | 8.59843i | −0.0894273 | − | 0.275229i | ||||
\(977\) | −21.8127 | + | 15.8479i | −0.697851 | + | 0.507018i | −0.879232 | − | 0.476395i | \(-0.841943\pi\) |
0.181381 | + | 0.983413i | \(0.441943\pi\) | |||||||
\(978\) | 3.00080 | 0.0959551 | ||||||||
\(979\) | 19.3776 | − | 16.9057i | 0.619310 | − | 0.540310i | ||||
\(980\) | 46.0517 | 1.47107 | ||||||||
\(981\) | 2.26861 | − | 1.64824i | 0.0724310 | − | 0.0526242i | ||||
\(982\) | −1.91217 | − | 5.88504i | −0.0610197 | − | 0.187799i | ||||
\(983\) | −7.36552 | + | 22.6687i | −0.234923 | + | 0.723020i | 0.762208 | + | 0.647332i | \(0.224115\pi\) |
−0.997132 | + | 0.0756880i | \(0.975885\pi\) | |||||||
\(984\) | 38.4909 | + | 27.9653i | 1.22705 | + | 0.891501i | ||||
\(985\) | −68.8352 | − | 50.0117i | −2.19327 | − | 1.59351i | ||||
\(986\) | 0.150525 | − | 0.463269i | 0.00479370 | − | 0.0147535i | ||||
\(987\) | 2.74868 | + | 8.45956i | 0.0874914 | + | 0.269271i | ||||
\(988\) | −6.59451 | + | 4.79119i | −0.209799 | + | 0.152428i | ||||
\(989\) | 0.807913 | 0.0256901 | ||||||||
\(990\) | 6.22775 | − | 27.1977i | 0.197931 | − | 0.864399i | ||||
\(991\) | 26.4139 | 0.839066 | 0.419533 | − | 0.907740i | \(-0.362194\pi\) | ||||
0.419533 | + | 0.907740i | \(0.362194\pi\) | |||||||
\(992\) | −45.4746 | + | 33.0392i | −1.44382 | + | 1.04900i | ||||
\(993\) | 30.1195 | + | 92.6984i | 0.955815 | + | 2.94170i | ||||
\(994\) | −2.97579 | + | 9.15853i | −0.0943862 | + | 0.290491i | ||||
\(995\) | 47.8703 | + | 34.7798i | 1.51759 | + | 1.10259i | ||||
\(996\) | −27.5096 | − | 19.9869i | −0.871674 | − | 0.633308i | ||||
\(997\) | 17.9633 | − | 55.2853i | 0.568903 | − | 1.75090i | −0.0871554 | − | 0.996195i | \(-0.527778\pi\) |
0.656059 | − | 0.754710i | \(-0.272222\pi\) | |||||||
\(998\) | −6.49866 | − | 20.0008i | −0.205712 | − | 0.633115i | ||||
\(999\) | −16.6760 | + | 12.1158i | −0.527606 | + | 0.383328i |
(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 | 143.2.h.b.14.2 | ✓ | 16 | |
11.2 | odd | 10 | 1573.2.a.n.1.4 | 8 | |||
11.4 | even | 5 | inner | 143.2.h.b.92.2 | yes | 16 | |
11.9 | even | 5 | 1573.2.a.o.1.5 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.b.14.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
143.2.h.b.92.2 | yes | 16 | 11.4 | even | 5 | inner | |
1573.2.a.n.1.4 | 8 | 11.2 | odd | 10 | |||
1573.2.a.o.1.5 | 8 | 11.9 | even | 5 |