Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{7})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 6 x^{10} - 16 x^{9} + 44 x^{8} - 70 x^{7} + 141 x^{6} - 182 x^{5} + 270 x^{4} - 124 x^{3} + 115 x^{2} + 20 x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Root | \(-1.30974 - 1.64236i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.41 |
Dual form | 430.2.k.a.21.2 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.900969 | + | 0.433884i | −0.637081 | + | 0.306802i | ||||
\(3\) | 2.29359 | + | 1.10454i | 1.32421 | + | 0.637705i | 0.956363 | − | 0.292182i | \(-0.0943815\pi\) |
0.367845 | + | 0.929887i | \(0.380096\pi\) | |||||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −0.222521 | + | 0.974928i | −0.0995144 | + | 0.436001i | ||||
\(6\) | −2.54570 | −1.03928 | ||||||||
\(7\) | 3.65974 | 1.38325 | 0.691625 | − | 0.722257i | \(-0.256895\pi\) | ||||
0.691625 | + | 0.722257i | \(0.256895\pi\) | |||||||
\(8\) | −0.222521 | + | 0.974928i | −0.0786730 | + | 0.344689i | ||||
\(9\) | 2.17010 | + | 2.72123i | 0.723368 | + | 0.907075i | ||||
\(10\) | −0.222521 | − | 0.974928i | −0.0703673 | − | 0.308299i | ||||
\(11\) | −0.380839 | − | 0.477557i | −0.114827 | − | 0.143989i | 0.721096 | − | 0.692835i | \(-0.243639\pi\) |
−0.835923 | + | 0.548846i | \(0.815067\pi\) | |||||||
\(12\) | 2.29359 | − | 1.10454i | 0.662104 | − | 0.318852i | ||||
\(13\) | 0.400969 | − | 1.75676i | 0.111209 | − | 0.487237i | −0.888395 | − | 0.459080i | \(-0.848179\pi\) |
0.999604 | − | 0.0281571i | \(-0.00896385\pi\) | |||||||
\(14\) | −3.29731 | + | 1.58790i | −0.881243 | + | 0.424384i | ||||
\(15\) | −1.58722 | + | 1.99031i | −0.409818 | + | 0.513895i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | −0.257349 | − | 1.12752i | −0.0624163 | − | 0.273464i | 0.934084 | − | 0.357053i | \(-0.116219\pi\) |
−0.996500 | + | 0.0835898i | \(0.973361\pi\) | |||||||
\(18\) | −3.13589 | − | 1.51017i | −0.739137 | − | 0.355950i | ||||
\(19\) | −1.64997 | + | 2.06900i | −0.378530 | + | 0.474662i | −0.934204 | − | 0.356738i | \(-0.883889\pi\) |
0.555674 | + | 0.831400i | \(0.312460\pi\) | |||||||
\(20\) | 0.623490 | + | 0.781831i | 0.139417 | + | 0.174823i | ||||
\(21\) | 8.39395 | + | 4.04231i | 1.83171 | + | 0.882105i | ||||
\(22\) | 0.550328 | + | 0.265024i | 0.117330 | + | 0.0565033i | ||||
\(23\) | 0.414542 | + | 0.519820i | 0.0864381 | + | 0.108390i | 0.823170 | − | 0.567795i | \(-0.192203\pi\) |
−0.736732 | + | 0.676185i | \(0.763632\pi\) | |||||||
\(24\) | −1.58722 | + | 1.99031i | −0.323989 | + | 0.406270i | ||||
\(25\) | −0.900969 | − | 0.433884i | −0.180194 | − | 0.0867767i | ||||
\(26\) | 0.400969 | + | 1.75676i | 0.0786365 | + | 0.344529i | ||||
\(27\) | 0.272233 | + | 1.19273i | 0.0523913 | + | 0.229541i | ||||
\(28\) | 2.28181 | − | 2.86130i | 0.431221 | − | 0.540734i | ||||
\(29\) | −5.23468 | + | 2.52089i | −0.972056 | + | 0.468117i | −0.851366 | − | 0.524573i | \(-0.824225\pi\) |
−0.120690 | + | 0.992690i | \(0.538511\pi\) | |||||||
\(30\) | 0.566471 | − | 2.48187i | 0.103423 | − | 0.453126i | ||||
\(31\) | 7.07040 | − | 3.40492i | 1.26988 | − | 0.611542i | 0.327111 | − | 0.944986i | \(-0.393925\pi\) |
0.942770 | + | 0.333443i | \(0.108211\pi\) | |||||||
\(32\) | 0.623490 | + | 0.781831i | 0.110218 | + | 0.138210i | ||||
\(33\) | −0.346011 | − | 1.51597i | −0.0602327 | − | 0.263897i | ||||
\(34\) | 0.721076 | + | 0.904201i | 0.123663 | + | 0.155069i | ||||
\(35\) | −0.814368 | + | 3.56798i | −0.137653 | + | 0.603098i | ||||
\(36\) | 3.48058 | 0.580096 | ||||||||
\(37\) | −11.1126 | −1.82689 | −0.913447 | − | 0.406958i | \(-0.866590\pi\) | ||||
−0.913447 | + | 0.406958i | \(0.866590\pi\) | |||||||
\(38\) | 0.588869 | − | 2.58000i | 0.0955272 | − | 0.418532i | ||||
\(39\) | 2.86007 | − | 3.58641i | 0.457977 | − | 0.574285i | ||||
\(40\) | −0.900969 | − | 0.433884i | −0.142456 | − | 0.0686030i | ||||
\(41\) | −5.63028 | + | 2.71140i | −0.879302 | + | 0.423450i | −0.818370 | − | 0.574692i | \(-0.805122\pi\) |
−0.0609328 | + | 0.998142i | \(0.519408\pi\) | |||||||
\(42\) | −9.31658 | −1.43758 | ||||||||
\(43\) | 6.07862 | − | 2.45975i | 0.926981 | − | 0.375108i | ||||
\(44\) | −0.610818 | −0.0920843 | ||||||||
\(45\) | −3.13589 | + | 1.51017i | −0.467471 | + | 0.225122i | ||||
\(46\) | −0.599031 | − | 0.288478i | −0.0883223 | − | 0.0425338i | ||||
\(47\) | −4.65136 | + | 5.83262i | −0.678471 | + | 0.850775i | −0.995212 | − | 0.0977366i | \(-0.968840\pi\) |
0.316742 | + | 0.948512i | \(0.397411\pi\) | |||||||
\(48\) | 0.566471 | − | 2.48187i | 0.0817631 | − | 0.358227i | ||||
\(49\) | 6.39366 | 0.913380 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | 0.655133 | − | 2.87032i | 0.0917369 | − | 0.401926i | ||||
\(52\) | −1.12349 | − | 1.40881i | −0.155800 | − | 0.195367i | ||||
\(53\) | −0.182762 | − | 0.800734i | −0.0251043 | − | 0.109989i | 0.960823 | − | 0.277161i | \(-0.0893936\pi\) |
−0.985928 | + | 0.167172i | \(0.946536\pi\) | |||||||
\(54\) | −0.762781 | − | 0.956497i | −0.103801 | − | 0.130163i | ||||
\(55\) | 0.550328 | − | 0.265024i | 0.0742062 | − | 0.0357358i | ||||
\(56\) | −0.814368 | + | 3.56798i | −0.108824 | + | 0.476791i | ||||
\(57\) | −6.06966 | + | 2.92300i | −0.803946 | + | 0.387160i | ||||
\(58\) | 3.62251 | − | 4.54248i | 0.475659 | − | 0.596457i | ||||
\(59\) | 0.0174682 | + | 0.0765333i | 0.00227417 | + | 0.00996379i | 0.976052 | − | 0.217536i | \(-0.0698020\pi\) |
−0.973778 | + | 0.227500i | \(0.926945\pi\) | |||||||
\(60\) | 0.566471 | + | 2.48187i | 0.0731311 | + | 0.320408i | ||||
\(61\) | 10.2849 | + | 4.95296i | 1.31685 | + | 0.634161i | 0.954592 | − | 0.297917i | \(-0.0962918\pi\) |
0.362258 | + | 0.932078i | \(0.382006\pi\) | |||||||
\(62\) | −4.89287 | + | 6.13546i | −0.621395 | + | 0.779204i | ||||
\(63\) | 7.94201 | + | 9.95896i | 1.00060 | + | 1.25471i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | 1.62349 | + | 0.781831i | 0.201369 | + | 0.0969743i | ||||
\(66\) | 0.969501 | + | 1.21572i | 0.119337 | + | 0.149644i | ||||
\(67\) | −1.85328 | + | 2.32395i | −0.226415 | + | 0.283915i | −0.882043 | − | 0.471169i | \(-0.843832\pi\) |
0.655628 | + | 0.755084i | \(0.272404\pi\) | |||||||
\(68\) | −1.04198 | − | 0.501793i | −0.126359 | − | 0.0608514i | ||||
\(69\) | 0.376632 | + | 1.65013i | 0.0453412 | + | 0.198653i | ||||
\(70\) | −0.814368 | − | 3.56798i | −0.0973356 | − | 0.426455i | ||||
\(71\) | 7.34309 | − | 9.20795i | 0.871465 | − | 1.09278i | −0.123479 | − | 0.992347i | \(-0.539405\pi\) |
0.994944 | − | 0.100435i | \(-0.0320235\pi\) | |||||||
\(72\) | −3.13589 | + | 1.51017i | −0.369568 | + | 0.177975i | ||||
\(73\) | 0.320376 | − | 1.40366i | 0.0374972 | − | 0.164286i | −0.952713 | − | 0.303873i | \(-0.901720\pi\) |
0.990210 | + | 0.139587i | \(0.0445774\pi\) | |||||||
\(74\) | 10.0121 | − | 4.82156i | 1.16388 | − | 0.560495i | ||||
\(75\) | −1.58722 | − | 1.99031i | −0.183276 | − | 0.229821i | ||||
\(76\) | 0.588869 | + | 2.58000i | 0.0675479 | + | 0.295947i | ||||
\(77\) | −1.39377 | − | 1.74773i | −0.158835 | − | 0.199172i | ||||
\(78\) | −1.02075 | + | 4.47218i | −0.115577 | + | 0.506375i | ||||
\(79\) | −12.2173 | −1.37456 | −0.687279 | − | 0.726393i | \(-0.741195\pi\) | ||||
−0.687279 | + | 0.726393i | \(0.741195\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 1.63048 | − | 7.14360i | 0.181164 | − | 0.793733i | ||||
\(82\) | 3.89628 | − | 4.88578i | 0.430272 | − | 0.539544i | ||||
\(83\) | −8.85780 | − | 4.26569i | −0.972269 | − | 0.468220i | −0.120830 | − | 0.992673i | \(-0.538556\pi\) |
−0.851439 | + | 0.524453i | \(0.824270\pi\) | |||||||
\(84\) | 8.39395 | − | 4.04231i | 0.915855 | − | 0.441052i | ||||
\(85\) | 1.15652 | 0.125442 | ||||||||
\(86\) | −4.40940 | + | 4.85357i | −0.475478 | + | 0.523374i | ||||
\(87\) | −14.7906 | −1.58572 | ||||||||
\(88\) | 0.550328 | − | 0.265024i | 0.0586652 | − | 0.0282517i | ||||
\(89\) | 10.5737 | + | 5.09201i | 1.12081 | + | 0.539752i | 0.900141 | − | 0.435598i | \(-0.143463\pi\) |
0.220664 | + | 0.975350i | \(0.429177\pi\) | |||||||
\(90\) | 2.17010 | − | 2.72123i | 0.228749 | − | 0.286842i | ||||
\(91\) | 1.46744 | − | 6.42927i | 0.153830 | − | 0.673971i | ||||
\(92\) | 0.664874 | 0.0693179 | ||||||||
\(93\) | 19.9775 | 2.07157 | ||||||||
\(94\) | 1.66005 | − | 7.27316i | 0.171221 | − | 0.750169i | ||||
\(95\) | −1.64997 | − | 2.06900i | −0.169284 | − | 0.212275i | ||||
\(96\) | 0.566471 | + | 2.48187i | 0.0578152 | + | 0.253305i | ||||
\(97\) | −6.72461 | − | 8.43239i | −0.682781 | − | 0.856180i | 0.312826 | − | 0.949810i | \(-0.398724\pi\) |
−0.995607 | + | 0.0936305i | \(0.970153\pi\) | |||||||
\(98\) | −5.76049 | + | 2.77411i | −0.581897 | + | 0.280227i | ||||
\(99\) | 0.473079 | − | 2.07270i | 0.0475463 | − | 0.208314i | ||||
\(100\) | −0.900969 | + | 0.433884i | −0.0900969 | + | 0.0433884i | ||||
\(101\) | 1.27009 | − | 1.59265i | 0.126379 | − | 0.158474i | −0.714616 | − | 0.699517i | \(-0.753399\pi\) |
0.840995 | + | 0.541042i | \(0.181970\pi\) | |||||||
\(102\) | 0.655133 | + | 2.87032i | 0.0648678 | + | 0.284204i | ||||
\(103\) | 0.878147 | + | 3.84741i | 0.0865264 | + | 0.379097i | 0.999587 | − | 0.0287262i | \(-0.00914509\pi\) |
−0.913061 | + | 0.407823i | \(0.866288\pi\) | |||||||
\(104\) | 1.62349 | + | 0.781831i | 0.159196 | + | 0.0766649i | ||||
\(105\) | −5.80879 | + | 7.28400i | −0.566880 | + | 0.710845i | ||||
\(106\) | 0.512088 | + | 0.642139i | 0.0497384 | + | 0.0623700i | ||||
\(107\) | −8.39646 | − | 4.04352i | −0.811717 | − | 0.390902i | −0.0184904 | − | 0.999829i | \(-0.505886\pi\) |
−0.793226 | + | 0.608927i | \(0.791600\pi\) | |||||||
\(108\) | 1.10225 | + | 0.530816i | 0.106064 | + | 0.0510778i | ||||
\(109\) | −6.31359 | − | 7.91699i | −0.604732 | − | 0.758310i | 0.381375 | − | 0.924420i | \(-0.375451\pi\) |
−0.986107 | + | 0.166110i | \(0.946879\pi\) | |||||||
\(110\) | −0.380839 | + | 0.477557i | −0.0363116 | + | 0.0455332i | ||||
\(111\) | −25.4877 | − | 12.2742i | −2.41919 | − | 1.16502i | ||||
\(112\) | −0.814368 | − | 3.56798i | −0.0769505 | − | 0.337142i | ||||
\(113\) | −2.36800 | − | 10.3749i | −0.222763 | − | 0.975987i | −0.955388 | − | 0.295355i | \(-0.904562\pi\) |
0.732625 | − | 0.680633i | \(-0.238295\pi\) | |||||||
\(114\) | 4.20034 | − | 5.26706i | 0.393398 | − | 0.493305i | ||||
\(115\) | −0.599031 | + | 0.288478i | −0.0558599 | + | 0.0269007i | ||||
\(116\) | −1.29286 | + | 5.66439i | −0.120039 | + | 0.525925i | ||||
\(117\) | 5.65068 | − | 2.72123i | 0.522406 | − | 0.251577i | ||||
\(118\) | −0.0489449 | − | 0.0613750i | −0.00450574 | − | 0.00565002i | ||||
\(119\) | −0.941829 | − | 4.12642i | −0.0863373 | − | 0.378269i | ||||
\(120\) | −1.58722 | − | 1.99031i | −0.144892 | − | 0.181689i | ||||
\(121\) | 2.36471 | − | 10.3605i | 0.214973 | − | 0.941860i | ||||
\(122\) | −11.4154 | −1.03350 | ||||||||
\(123\) | −15.9084 | −1.43441 | ||||||||
\(124\) | 1.74624 | − | 7.65080i | 0.156817 | − | 0.687062i | ||||
\(125\) | 0.623490 | − | 0.781831i | 0.0557666 | − | 0.0699291i | ||||
\(126\) | −11.4765 | − | 5.52681i | −1.02241 | − | 0.492367i | ||||
\(127\) | 7.69954 | − | 3.70790i | 0.683224 | − | 0.329023i | −0.0598743 | − | 0.998206i | \(-0.519070\pi\) |
0.743098 | + | 0.669183i | \(0.233356\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 16.6588 | + | 1.07240i | 1.46672 | + | 0.0944194i | ||||
\(130\) | −1.80194 | −0.158040 | ||||||||
\(131\) | 5.59840 | − | 2.69605i | 0.489134 | − | 0.235555i | −0.173025 | − | 0.984917i | \(-0.555354\pi\) |
0.662160 | + | 0.749363i | \(0.269640\pi\) | |||||||
\(132\) | −1.40097 | − | 0.674671i | −0.121939 | − | 0.0587226i | ||||
\(133\) | −6.03847 | + | 7.57200i | −0.523602 | + | 0.656576i | ||||
\(134\) | 0.661430 | − | 2.89791i | 0.0571388 | − | 0.250342i | ||||
\(135\) | −1.22341 | −0.105294 | ||||||||
\(136\) | 1.15652 | 0.0991704 | ||||||||
\(137\) | 4.58474 | − | 20.0871i | 0.391701 | − | 1.71615i | −0.266955 | − | 0.963709i | \(-0.586018\pi\) |
0.658656 | − | 0.752444i | \(-0.271125\pi\) | |||||||
\(138\) | −1.05530 | − | 1.32330i | −0.0898331 | − | 0.112647i | ||||
\(139\) | −3.99671 | − | 17.5108i | −0.338997 | − | 1.48524i | −0.801161 | − | 0.598448i | \(-0.795784\pi\) |
0.462164 | − | 0.886794i | \(-0.347073\pi\) | |||||||
\(140\) | 2.28181 | + | 2.86130i | 0.192848 | + | 0.241824i | ||||
\(141\) | −17.1107 | + | 8.24007i | −1.44098 | + | 0.693939i | ||||
\(142\) | −2.62072 | + | 11.4821i | −0.219926 | + | 0.963558i | ||||
\(143\) | −0.991657 | + | 0.477557i | −0.0829265 | + | 0.0399353i | ||||
\(144\) | 2.17010 | − | 2.72123i | 0.180842 | − | 0.226769i | ||||
\(145\) | −1.29286 | − | 5.66439i | −0.107366 | − | 0.470402i | ||||
\(146\) | 0.320376 | + | 1.40366i | 0.0265145 | + | 0.116168i | ||||
\(147\) | 14.6645 | + | 7.06204i | 1.20951 | + | 0.582467i | ||||
\(148\) | −6.92857 | + | 8.68815i | −0.569525 | + | 0.714162i | ||||
\(149\) | 10.9034 | + | 13.6724i | 0.893238 | + | 1.12008i | 0.992158 | + | 0.124990i | \(0.0398897\pi\) |
−0.0989201 | + | 0.995095i | \(0.531539\pi\) | |||||||
\(150\) | 2.29359 | + | 1.10454i | 0.187271 | + | 0.0901851i | ||||
\(151\) | 8.13284 | + | 3.91657i | 0.661841 | + | 0.318726i | 0.734478 | − | 0.678633i | \(-0.237427\pi\) |
−0.0726369 | + | 0.997358i | \(0.523141\pi\) | |||||||
\(152\) | −1.64997 | − | 2.06900i | −0.133831 | − | 0.167818i | ||||
\(153\) | 2.50976 | − | 3.14714i | 0.202902 | − | 0.254431i | ||||
\(154\) | 2.01405 | + | 0.969918i | 0.162297 | + | 0.0781582i | ||||
\(155\) | 1.74624 | + | 7.65080i | 0.140262 | + | 0.614527i | ||||
\(156\) | −1.02075 | − | 4.47218i | −0.0817251 | − | 0.358061i | ||||
\(157\) | −2.85572 | + | 3.58096i | −0.227911 | + | 0.285791i | −0.882618 | − | 0.470092i | \(-0.844221\pi\) |
0.654706 | + | 0.755883i | \(0.272792\pi\) | |||||||
\(158\) | 11.0074 | − | 5.30091i | 0.875705 | − | 0.421717i | ||||
\(159\) | 0.465257 | − | 2.03843i | 0.0368973 | − | 0.161658i | ||||
\(160\) | −0.900969 | + | 0.433884i | −0.0712278 | + | 0.0343015i | ||||
\(161\) | 1.51712 | + | 1.90240i | 0.119565 | + | 0.149930i | ||||
\(162\) | 1.63048 | + | 7.14360i | 0.128103 | + | 0.561254i | ||||
\(163\) | −2.95495 | − | 3.70540i | −0.231450 | − | 0.290229i | 0.652521 | − | 0.757770i | \(-0.273711\pi\) |
−0.883971 | + | 0.467541i | \(0.845140\pi\) | |||||||
\(164\) | −1.39057 | + | 6.09246i | −0.108585 | + | 0.475741i | ||||
\(165\) | 1.55496 | 0.121053 | ||||||||
\(166\) | 9.83141 | 0.763066 | ||||||||
\(167\) | −5.31979 | + | 23.3075i | −0.411658 | + | 1.80359i | 0.164643 | + | 0.986353i | \(0.447353\pi\) |
−0.576301 | + | 0.817237i | \(0.695504\pi\) | |||||||
\(168\) | −5.80879 | + | 7.28400i | −0.448158 | + | 0.561972i | ||||
\(169\) | 8.78717 | + | 4.23168i | 0.675936 | + | 0.325514i | ||||
\(170\) | −1.04198 | + | 0.501793i | −0.0799166 | + | 0.0384858i | ||||
\(171\) | −9.21084 | −0.704371 | ||||||||
\(172\) | 1.86685 | − | 6.28609i | 0.142346 | − | 0.479310i | ||||
\(173\) | −16.0984 | −1.22394 | −0.611969 | − | 0.790882i | \(-0.709622\pi\) | ||||
−0.611969 | + | 0.790882i | \(0.709622\pi\) | |||||||
\(174\) | 13.3259 | − | 6.41742i | 1.01023 | − | 0.486503i | ||||
\(175\) | −3.29731 | − | 1.58790i | −0.249253 | − | 0.120034i | ||||
\(176\) | −0.380839 | + | 0.477557i | −0.0287068 | + | 0.0359972i | ||||
\(177\) | −0.0444689 | + | 0.194831i | −0.00334248 | + | 0.0146444i | ||||
\(178\) | −11.7359 | −0.879641 | ||||||||
\(179\) | −4.98775 | −0.372802 | −0.186401 | − | 0.982474i | \(-0.559682\pi\) | ||||
−0.186401 | + | 0.982474i | \(0.559682\pi\) | |||||||
\(180\) | −0.774501 | + | 3.39331i | −0.0577279 | + | 0.252923i | ||||
\(181\) | 10.9026 | + | 13.6714i | 0.810381 | + | 1.01619i | 0.999415 | + | 0.0342148i | \(0.0108930\pi\) |
−0.189034 | + | 0.981971i | \(0.560536\pi\) | |||||||
\(182\) | 1.46744 | + | 6.42927i | 0.108774 | + | 0.476570i | ||||
\(183\) | 18.1187 | + | 22.7202i | 1.33937 | + | 1.67952i | ||||
\(184\) | −0.599031 | + | 0.288478i | −0.0441612 | + | 0.0212669i | ||||
\(185\) | 2.47278 | − | 10.8339i | 0.181802 | − | 0.796528i | ||||
\(186\) | −17.9991 | + | 8.66791i | −1.31976 | + | 0.635562i | ||||
\(187\) | −0.440446 | + | 0.552302i | −0.0322086 | + | 0.0403883i | ||||
\(188\) | 1.66005 | + | 7.27316i | 0.121072 | + | 0.530450i | ||||
\(189\) | 0.996302 | + | 4.36509i | 0.0724703 | + | 0.317513i | ||||
\(190\) | 2.38428 | + | 1.14821i | 0.172974 | + | 0.0832999i | ||||
\(191\) | −13.6850 | + | 17.1604i | −0.990210 | + | 1.24168i | −0.0199043 | + | 0.999802i | \(0.506336\pi\) |
−0.970306 | + | 0.241882i | \(0.922235\pi\) | |||||||
\(192\) | −1.58722 | − | 1.99031i | −0.114547 | − | 0.143638i | ||||
\(193\) | 7.41393 | + | 3.57036i | 0.533666 | + | 0.257000i | 0.681252 | − | 0.732049i | \(-0.261436\pi\) |
−0.147586 | + | 0.989049i | \(0.547150\pi\) | |||||||
\(194\) | 9.71734 | + | 4.67963i | 0.697665 | + | 0.335978i | ||||
\(195\) | 2.86007 | + | 3.58641i | 0.204814 | + | 0.256828i | ||||
\(196\) | 3.98638 | − | 4.99877i | 0.284742 | − | 0.357055i | ||||
\(197\) | 16.1547 | + | 7.77970i | 1.15098 | + | 0.554280i | 0.909326 | − | 0.416083i | \(-0.136598\pi\) |
0.241649 | + | 0.970364i | \(0.422312\pi\) | |||||||
\(198\) | 0.473079 | + | 2.07270i | 0.0336203 | + | 0.147300i | ||||
\(199\) | 2.46948 | + | 10.8195i | 0.175057 | + | 0.766975i | 0.983866 | + | 0.178904i | \(0.0572553\pi\) |
−0.808809 | + | 0.588071i | \(0.799888\pi\) | |||||||
\(200\) | 0.623490 | − | 0.781831i | 0.0440874 | − | 0.0552838i | ||||
\(201\) | −6.81757 | + | 3.28317i | −0.480874 | + | 0.231577i | ||||
\(202\) | −0.453291 | + | 1.98600i | −0.0318934 | + | 0.139734i | ||||
\(203\) | −19.1575 | + | 9.22579i | −1.34460 | + | 0.647523i | ||||
\(204\) | −1.83564 | − | 2.30182i | −0.128521 | − | 0.161160i | ||||
\(205\) | −1.39057 | − | 6.09246i | −0.0971213 | − | 0.425516i | ||||
\(206\) | −2.46051 | − | 3.08539i | −0.171432 | − | 0.214969i | ||||
\(207\) | −0.514946 | + | 2.25613i | −0.0357912 | + | 0.156812i | ||||
\(208\) | −1.80194 | −0.124942 | ||||||||
\(209\) | 1.61644 | 0.111812 | ||||||||
\(210\) | 2.07313 | − | 9.08299i | 0.143060 | − | 0.626786i | ||||
\(211\) | −8.75809 | + | 10.9823i | −0.602932 | + | 0.756053i | −0.985832 | − | 0.167737i | \(-0.946354\pi\) |
0.382900 | + | 0.923790i | \(0.374925\pi\) | |||||||
\(212\) | −0.739989 | − | 0.356360i | −0.0508227 | − | 0.0244749i | ||||
\(213\) | 27.0126 | − | 13.0086i | 1.85087 | − | 0.891333i | ||||
\(214\) | 9.31937 | 0.637059 | ||||||||
\(215\) | 1.04546 | + | 6.47356i | 0.0712995 | + | 0.441493i | ||||
\(216\) | −1.22341 | −0.0832422 | ||||||||
\(217\) | 25.8758 | − | 12.4611i | 1.75656 | − | 0.845916i | ||||
\(218\) | 9.12340 | + | 4.39360i | 0.617915 | + | 0.297572i | ||||
\(219\) | 2.28521 | − | 2.86556i | 0.154420 | − | 0.193637i | ||||
\(220\) | 0.135920 | − | 0.595504i | 0.00916371 | − | 0.0401488i | ||||
\(221\) | −2.08397 | −0.140183 | ||||||||
\(222\) | 28.2892 | 1.89865 | ||||||||
\(223\) | 1.84317 | − | 8.07547i | 0.123428 | − | 0.540774i | −0.874969 | − | 0.484179i | \(-0.839118\pi\) |
0.998397 | − | 0.0565950i | \(-0.0180244\pi\) | |||||||
\(224\) | 2.28181 | + | 2.86130i | 0.152460 | + | 0.191178i | ||||
\(225\) | −0.774501 | − | 3.39331i | −0.0516334 | − | 0.226221i | ||||
\(226\) | 6.63499 | + | 8.32001i | 0.441353 | + | 0.553439i | ||||
\(227\) | −2.82240 | + | 1.35920i | −0.187330 | + | 0.0902132i | −0.525197 | − | 0.850980i | \(-0.676009\pi\) |
0.337868 | + | 0.941194i | \(0.390294\pi\) | |||||||
\(228\) | −1.49908 | + | 6.56791i | −0.0992792 | + | 0.434971i | ||||
\(229\) | −2.54569 | + | 1.22594i | −0.168224 | + | 0.0810124i | −0.516101 | − | 0.856528i | \(-0.672617\pi\) |
0.347877 | + | 0.937540i | \(0.386903\pi\) | |||||||
\(230\) | 0.414542 | − | 0.519820i | 0.0273341 | − | 0.0342759i | ||||
\(231\) | −1.26631 | − | 5.54806i | −0.0833169 | − | 0.365035i | ||||
\(232\) | −1.29286 | − | 5.66439i | −0.0848804 | − | 0.371885i | ||||
\(233\) | 0.0512451 | + | 0.0246783i | 0.00335718 | + | 0.00161673i | 0.435562 | − | 0.900159i | \(-0.356550\pi\) |
−0.432204 | + | 0.901776i | \(0.642264\pi\) | |||||||
\(234\) | −3.91039 | + | 4.90348i | −0.255630 | + | 0.320550i | ||||
\(235\) | −4.65136 | − | 5.83262i | −0.303421 | − | 0.380478i | ||||
\(236\) | 0.0707274 | + | 0.0340605i | 0.00460396 | + | 0.00221715i | ||||
\(237\) | −28.0216 | − | 13.4945i | −1.82020 | − | 0.876562i | ||||
\(238\) | 2.63895 | + | 3.30913i | 0.171058 | + | 0.214499i | ||||
\(239\) | −12.7975 | + | 16.0476i | −0.827804 | + | 1.03803i | 0.170805 | + | 0.985305i | \(0.445363\pi\) |
−0.998609 | + | 0.0527280i | \(0.983208\pi\) | |||||||
\(240\) | 2.29359 | + | 1.10454i | 0.148051 | + | 0.0712976i | ||||
\(241\) | 2.11512 | + | 9.26693i | 0.136247 | + | 0.596936i | 0.996240 | + | 0.0866311i | \(0.0276102\pi\) |
−0.859994 | + | 0.510304i | \(0.829533\pi\) | |||||||
\(242\) | 2.36471 | + | 10.3605i | 0.152009 | + | 0.665996i | ||||
\(243\) | 13.9184 | − | 17.4531i | 0.892864 | − | 1.11962i | ||||
\(244\) | 10.2849 | − | 4.95296i | 0.658425 | − | 0.317081i | ||||
\(245\) | −1.42272 | + | 6.23336i | −0.0908945 | + | 0.398235i | ||||
\(246\) | 14.3330 | − | 6.90241i | 0.913839 | − | 0.440082i | ||||
\(247\) | 2.97315 | + | 3.72821i | 0.189177 | + | 0.237221i | ||||
\(248\) | 1.74624 | + | 7.65080i | 0.110887 | + | 0.485826i | ||||
\(249\) | −15.6046 | − | 19.5675i | −0.988900 | − | 1.24004i | ||||
\(250\) | −0.222521 | + | 0.974928i | −0.0140735 | + | 0.0616599i | ||||
\(251\) | 18.7853 | 1.18572 | 0.592859 | − | 0.805306i | \(-0.297999\pi\) | ||||
0.592859 | + | 0.805306i | \(0.297999\pi\) | |||||||
\(252\) | 12.7380 | 0.802418 | ||||||||
\(253\) | 0.0903696 | − | 0.395935i | 0.00568149 | − | 0.0248922i | ||||
\(254\) | −5.32825 | + | 6.68141i | −0.334324 | + | 0.419229i | ||||
\(255\) | 2.65258 | + | 1.27741i | 0.166111 | + | 0.0799948i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | 13.6777 | 0.853191 | 0.426595 | − | 0.904443i | \(-0.359713\pi\) | ||||
0.426595 | + | 0.904443i | \(0.359713\pi\) | |||||||
\(258\) | −15.4743 | + | 6.26177i | −0.963390 | + | 0.389841i | ||||
\(259\) | −40.6690 | −2.52705 | ||||||||
\(260\) | 1.62349 | − | 0.781831i | 0.100685 | − | 0.0484871i | ||||
\(261\) | −18.2197 | − | 8.77415i | −1.12777 | − | 0.543106i | ||||
\(262\) | −3.87421 | + | 4.85811i | −0.239350 | + | 0.300135i | ||||
\(263\) | 4.73709 | − | 20.7545i | 0.292101 | − | 1.27978i | −0.589494 | − | 0.807773i | \(-0.700673\pi\) |
0.881595 | − | 0.472007i | \(-0.156470\pi\) | |||||||
\(264\) | 1.55496 | 0.0957011 | ||||||||
\(265\) | 0.821326 | 0.0504537 | ||||||||
\(266\) | 2.15511 | − | 9.44213i | 0.132138 | − | 0.578934i | ||||
\(267\) | 18.6274 | + | 23.3580i | 1.13998 | + | 1.42949i | ||||
\(268\) | 0.661430 | + | 2.89791i | 0.0404032 | + | 0.177018i | ||||
\(269\) | −4.15211 | − | 5.20658i | −0.253159 | − | 0.317451i | 0.638971 | − | 0.769231i | \(-0.279361\pi\) |
−0.892129 | + | 0.451780i | \(0.850789\pi\) | |||||||
\(270\) | 1.10225 | − | 0.530816i | 0.0670808 | − | 0.0323044i | ||||
\(271\) | −4.05920 | + | 17.7845i | −0.246579 | + | 1.08033i | 0.688317 | + | 0.725410i | \(0.258350\pi\) |
−0.934896 | + | 0.354922i | \(0.884507\pi\) | |||||||
\(272\) | −1.04198 | + | 0.501793i | −0.0631796 | + | 0.0304257i | ||||
\(273\) | 10.4671 | − | 13.1253i | 0.633497 | − | 0.794380i | ||||
\(274\) | 4.58474 | + | 20.0871i | 0.276974 | + | 1.21350i | ||||
\(275\) | 0.135920 | + | 0.595504i | 0.00819627 | + | 0.0359102i | ||||
\(276\) | 1.52495 | + | 0.734378i | 0.0917913 | + | 0.0442044i | ||||
\(277\) | −14.8105 | + | 18.5718i | −0.889876 | + | 1.11587i | 0.102757 | + | 0.994707i | \(0.467234\pi\) |
−0.992633 | + | 0.121163i | \(0.961338\pi\) | |||||||
\(278\) | 11.1985 | + | 14.0425i | 0.671644 | + | 0.842215i | ||||
\(279\) | 24.6091 | + | 11.8511i | 1.47331 | + | 0.709507i | ||||
\(280\) | −3.29731 | − | 1.58790i | −0.197052 | − | 0.0948952i | ||||
\(281\) | 17.9818 | + | 22.5484i | 1.07270 | + | 1.34513i | 0.934997 | + | 0.354654i | \(0.115401\pi\) |
0.137706 | + | 0.990473i | \(0.456027\pi\) | |||||||
\(282\) | 11.8410 | − | 14.8481i | 0.705119 | − | 0.884191i | ||||
\(283\) | −23.5504 | − | 11.3413i | −1.39992 | − | 0.674167i | −0.426777 | − | 0.904357i | \(-0.640351\pi\) |
−0.973146 | + | 0.230189i | \(0.926065\pi\) | |||||||
\(284\) | −2.62072 | − | 11.4821i | −0.155511 | − | 0.681339i | ||||
\(285\) | −1.49908 | − | 6.56791i | −0.0887980 | − | 0.389050i | ||||
\(286\) | 0.686248 | − | 0.860528i | 0.0405787 | − | 0.0508841i | ||||
\(287\) | −20.6053 | + | 9.92301i | −1.21630 | + | 0.585737i | ||||
\(288\) | −0.774501 | + | 3.39331i | −0.0456379 | + | 0.199953i | ||||
\(289\) | 14.1114 | − | 6.79569i | 0.830082 | − | 0.399747i | ||||
\(290\) | 3.62251 | + | 4.54248i | 0.212721 | + | 0.266744i | ||||
\(291\) | −6.10964 | − | 26.7681i | −0.358153 | − | 1.56917i | ||||
\(292\) | −0.897675 | − | 1.12565i | −0.0525324 | − | 0.0658736i | ||||
\(293\) | −1.04781 | + | 4.59077i | −0.0612139 | + | 0.268196i | −0.996268 | − | 0.0863082i | \(-0.972493\pi\) |
0.935055 | + | 0.354504i | \(0.115350\pi\) | |||||||
\(294\) | −16.2763 | −0.949255 | ||||||||
\(295\) | −0.0785015 | −0.00457054 | ||||||||
\(296\) | 2.47278 | − | 10.8339i | 0.143727 | − | 0.629710i | ||||
\(297\) | 0.465920 | − | 0.584246i | 0.0270354 | − | 0.0339014i | ||||
\(298\) | −15.7558 | − | 7.58760i | −0.912710 | − | 0.439538i | ||||
\(299\) | 1.07942 | − | 0.519820i | 0.0624243 | − | 0.0300620i | ||||
\(300\) | −2.54570 | −0.146976 | ||||||||
\(301\) | 22.2461 | − | 9.00203i | 1.28225 | − | 0.518868i | ||||
\(302\) | −9.02677 | −0.519432 | ||||||||
\(303\) | 4.67222 | − | 2.25002i | 0.268412 | − | 0.129260i | ||||
\(304\) | 2.38428 | + | 1.14821i | 0.136748 | + | 0.0658544i | ||||
\(305\) | −7.11739 | + | 8.92492i | −0.407540 | + | 0.511039i | ||||
\(306\) | −0.895723 | + | 3.92442i | −0.0512051 | + | 0.224344i | ||||
\(307\) | −8.55330 | −0.488163 | −0.244081 | − | 0.969755i | \(-0.578486\pi\) | ||||
−0.244081 | + | 0.969755i | \(0.578486\pi\) | |||||||
\(308\) | −2.23543 | −0.127376 | ||||||||
\(309\) | −2.23550 | + | 9.79436i | −0.127173 | + | 0.557181i | ||||
\(310\) | −4.89287 | − | 6.13546i | −0.277896 | − | 0.348471i | ||||
\(311\) | −3.31160 | − | 14.5091i | −0.187783 | − | 0.822733i | −0.977782 | − | 0.209624i | \(-0.932776\pi\) |
0.789999 | − | 0.613109i | \(-0.210081\pi\) | |||||||
\(312\) | 2.86007 | + | 3.58641i | 0.161919 | + | 0.203040i | ||||
\(313\) | −1.89968 | + | 0.914835i | −0.107376 | + | 0.0517096i | −0.486801 | − | 0.873513i | \(-0.661836\pi\) |
0.379425 | + | 0.925223i | \(0.376122\pi\) | |||||||
\(314\) | 1.01919 | − | 4.46538i | 0.0575164 | − | 0.251996i | ||||
\(315\) | −11.4765 | + | 5.52681i | −0.646630 | + | 0.311400i | ||||
\(316\) | −7.61739 | + | 9.55190i | −0.428512 | + | 0.537336i | ||||
\(317\) | −6.12079 | − | 26.8169i | −0.343778 | − | 1.50619i | −0.791028 | − | 0.611781i | \(-0.790454\pi\) |
0.447250 | − | 0.894409i | \(-0.352404\pi\) | |||||||
\(318\) | 0.465257 | + | 2.03843i | 0.0260903 | + | 0.114309i | ||||
\(319\) | 3.19744 | + | 1.53980i | 0.179022 | + | 0.0862125i | ||||
\(320\) | 0.623490 | − | 0.781831i | 0.0348541 | − | 0.0437057i | ||||
\(321\) | −14.7919 | − | 18.5484i | −0.825601 | − | 1.03527i | ||||
\(322\) | −2.19230 | − | 1.05575i | −0.122172 | − | 0.0588349i | ||||
\(323\) | 2.75746 | + | 1.32792i | 0.153429 | + | 0.0738876i | ||||
\(324\) | −4.56850 | − | 5.72872i | −0.253806 | − | 0.318262i | ||||
\(325\) | −1.12349 | + | 1.40881i | −0.0623200 | + | 0.0781468i | ||||
\(326\) | 4.27003 | + | 2.05634i | 0.236495 | + | 0.113890i | ||||
\(327\) | −5.73621 | − | 25.1320i | −0.317213 | − | 1.38980i | ||||
\(328\) | −1.39057 | − | 6.09246i | −0.0767811 | − | 0.336400i | ||||
\(329\) | −17.0227 | + | 21.3458i | −0.938494 | + | 1.17683i | ||||
\(330\) | −1.40097 | + | 0.674671i | −0.0771208 | + | 0.0371394i | ||||
\(331\) | −0.494745 | + | 2.16762i | −0.0271936 | + | 0.119143i | −0.986703 | − | 0.162534i | \(-0.948033\pi\) |
0.959509 | + | 0.281677i | \(0.0908905\pi\) | |||||||
\(332\) | −8.85780 | + | 4.26569i | −0.486135 | + | 0.234110i | ||||
\(333\) | −24.1154 | − | 30.2398i | −1.32152 | − | 1.65713i | ||||
\(334\) | −5.31979 | − | 23.3075i | −0.291086 | − | 1.27533i | ||||
\(335\) | −1.85328 | − | 2.32395i | −0.101256 | − | 0.126971i | ||||
\(336\) | 2.07313 | − | 9.08299i | 0.113099 | − | 0.495518i | ||||
\(337\) | −1.54146 | −0.0839685 | −0.0419843 | − | 0.999118i | \(-0.513368\pi\) | ||||
−0.0419843 | + | 0.999118i | \(0.513368\pi\) | |||||||
\(338\) | −9.75302 | −0.530494 | ||||||||
\(339\) | 6.02821 | − | 26.4113i | 0.327408 | − | 1.43447i | ||||
\(340\) | 0.721076 | − | 0.904201i | 0.0391058 | − | 0.0490372i | ||||
\(341\) | −4.31873 | − | 2.07979i | −0.233872 | − | 0.112627i | ||||
\(342\) | 8.29868 | − | 3.99643i | 0.448741 | − | 0.216102i | ||||
\(343\) | −2.21903 | −0.119817 | ||||||||
\(344\) | 1.04546 | + | 6.47356i | 0.0563672 | + | 0.349031i | ||||
\(345\) | −1.69257 | −0.0911249 | ||||||||
\(346\) | 14.5042 | − | 6.98483i | 0.779748 | − | 0.375507i | ||||
\(347\) | 3.72714 | + | 1.79489i | 0.200083 | + | 0.0963550i | 0.531242 | − | 0.847220i | \(-0.321725\pi\) |
−0.331159 | + | 0.943575i | \(0.607440\pi\) | |||||||
\(348\) | −9.22182 | + | 11.5638i | −0.494341 | + | 0.619884i | ||||
\(349\) | −6.42676 | + | 28.1575i | −0.344017 | + | 1.50724i | 0.446494 | + | 0.894787i | \(0.352673\pi\) |
−0.790510 | + | 0.612449i | \(0.790185\pi\) | |||||||
\(350\) | 3.65974 | 0.195621 | ||||||||
\(351\) | 2.20450 | 0.117668 | ||||||||
\(352\) | 0.135920 | − | 0.595504i | 0.00724455 | − | 0.0317404i | ||||
\(353\) | 20.4365 | + | 25.6265i | 1.08772 | + | 1.36396i | 0.926174 | + | 0.377097i | \(0.123078\pi\) |
0.161549 | + | 0.986865i | \(0.448351\pi\) | |||||||
\(354\) | −0.0444689 | − | 0.194831i | −0.00236349 | − | 0.0103551i | ||||
\(355\) | 7.34309 | + | 9.20795i | 0.389731 | + | 0.488707i | ||||
\(356\) | 10.5737 | − | 5.09201i | 0.560403 | − | 0.269876i | ||||
\(357\) | 2.39761 | − | 10.5046i | 0.126895 | − | 0.555964i | ||||
\(358\) | 4.49381 | − | 2.16410i | 0.237505 | − | 0.114376i | ||||
\(359\) | −15.9097 | + | 19.9502i | −0.839684 | + | 1.05293i | 0.158167 | + | 0.987412i | \(0.449442\pi\) |
−0.997851 | + | 0.0655184i | \(0.979130\pi\) | |||||||
\(360\) | −0.774501 | − | 3.39331i | −0.0408198 | − | 0.178843i | ||||
\(361\) | 2.66954 | + | 11.6960i | 0.140502 | + | 0.615580i | ||||
\(362\) | −15.7547 | − | 7.58704i | −0.828046 | − | 0.398766i | ||||
\(363\) | 16.8672 | − | 21.1508i | 0.885298 | − | 1.11013i | ||||
\(364\) | −4.11168 | − | 5.15588i | −0.215510 | − | 0.270241i | ||||
\(365\) | 1.29718 | + | 0.624688i | 0.0678974 | + | 0.0326977i | ||||
\(366\) | −26.1823 | − | 12.6087i | −1.36857 | − | 0.659069i | ||||
\(367\) | 9.39197 | + | 11.7772i | 0.490257 | + | 0.614763i | 0.964001 | − | 0.265900i | \(-0.0856692\pi\) |
−0.473744 | + | 0.880663i | \(0.657098\pi\) | |||||||
\(368\) | 0.414542 | − | 0.519820i | 0.0216095 | − | 0.0270975i | ||||
\(369\) | −19.5966 | − | 9.43724i | −1.02016 | − | 0.491283i | ||||
\(370\) | 2.47278 | + | 10.8339i | 0.128554 | + | 0.563230i | ||||
\(371\) | −0.668861 | − | 2.93047i | −0.0347256 | − | 0.152143i | ||||
\(372\) | 12.4558 | − | 15.6190i | 0.645801 | − | 0.809809i | ||||
\(373\) | 0.0735814 | − | 0.0354349i | 0.00380990 | − | 0.00183475i | −0.431978 | − | 0.901884i | \(-0.642184\pi\) |
0.435788 | + | 0.900049i | \(0.356470\pi\) | |||||||
\(374\) | 0.157193 | − | 0.688709i | 0.00812828 | − | 0.0356123i | ||||
\(375\) | 2.29359 | − | 1.10454i | 0.118441 | − | 0.0570380i | ||||
\(376\) | −4.65136 | − | 5.83262i | −0.239876 | − | 0.300794i | ||||
\(377\) | 2.32965 | + | 10.2069i | 0.119983 | + | 0.525681i | ||||
\(378\) | −2.79158 | − | 3.50053i | −0.143583 | − | 0.180048i | ||||
\(379\) | −3.43648 | + | 15.0562i | −0.176520 | + | 0.773385i | 0.806700 | + | 0.590961i | \(0.201251\pi\) |
−0.983220 | + | 0.182424i | \(0.941606\pi\) | |||||||
\(380\) | −2.64635 | −0.135755 | ||||||||
\(381\) | 21.7551 | 1.11455 | ||||||||
\(382\) | 4.88411 | − | 21.3987i | 0.249893 | − | 1.09485i | ||||
\(383\) | 9.88586 | − | 12.3965i | 0.505144 | − | 0.633430i | −0.462237 | − | 0.886756i | \(-0.652953\pi\) |
0.967381 | + | 0.253326i | \(0.0815246\pi\) | |||||||
\(384\) | 2.29359 | + | 1.10454i | 0.117045 | + | 0.0563657i | ||||
\(385\) | 2.01405 | − | 0.969918i | 0.102646 | − | 0.0494316i | ||||
\(386\) | −8.22884 | −0.418837 | ||||||||
\(387\) | 19.8848 | + | 11.2034i | 1.01080 | + | 0.569500i | ||||
\(388\) | −10.7854 | −0.547548 | ||||||||
\(389\) | 18.7944 | − | 9.05090i | 0.952913 | − | 0.458899i | 0.108207 | − | 0.994128i | \(-0.465489\pi\) |
0.844707 | + | 0.535230i | \(0.179775\pi\) | |||||||
\(390\) | −4.13291 | − | 1.99031i | −0.209278 | − | 0.100783i | ||||
\(391\) | 0.479425 | − | 0.601180i | 0.0242456 | − | 0.0304030i | ||||
\(392\) | −1.42272 | + | 6.23336i | −0.0718584 | + | 0.314832i | ||||
\(393\) | 15.8183 | 0.797930 | ||||||||
\(394\) | −17.9304 | −0.903319 | ||||||||
\(395\) | 2.71861 | − | 11.9110i | 0.136788 | − | 0.599309i | ||||
\(396\) | −1.32554 | − | 1.66217i | −0.0666108 | − | 0.0835274i | ||||
\(397\) | −2.51600 | − | 11.0233i | −0.126274 | − | 0.553245i | −0.997998 | − | 0.0632464i | \(-0.979855\pi\) |
0.871723 | − | 0.489998i | \(-0.163003\pi\) | |||||||
\(398\) | −6.91934 | − | 8.67658i | −0.346835 | − | 0.434918i | ||||
\(399\) | −22.2134 | + | 10.6974i | −1.11206 | + | 0.535539i | ||||
\(400\) | −0.222521 | + | 0.974928i | −0.0111260 | + | 0.0487464i | ||||
\(401\) | −15.2968 | + | 7.36653i | −0.763884 | + | 0.367867i | −0.774910 | − | 0.632072i | \(-0.782205\pi\) |
0.0110257 | + | 0.999939i | \(0.496490\pi\) | |||||||
\(402\) | 4.71790 | − | 5.91606i | 0.235308 | − | 0.295066i | ||||
\(403\) | −3.14662 | − | 13.7863i | −0.156744 | − | 0.686742i | ||||
\(404\) | −0.453291 | − | 1.98600i | −0.0225521 | − | 0.0988071i | ||||
\(405\) | 6.60168 | + | 3.17920i | 0.328040 | + | 0.157976i | ||||
\(406\) | 13.2574 | − | 16.6243i | 0.657955 | − | 0.825050i | ||||
\(407\) | 4.23210 | + | 5.30688i | 0.209777 | + | 0.263052i | ||||
\(408\) | 2.65258 | + | 1.27741i | 0.131322 | + | 0.0632414i | ||||
\(409\) | −25.8694 | − | 12.4580i | −1.27916 | − | 0.616010i | −0.333984 | − | 0.942579i | \(-0.608393\pi\) |
−0.945173 | + | 0.326569i | \(0.894108\pi\) | |||||||
\(410\) | 3.89628 | + | 4.88578i | 0.192423 | + | 0.241291i | ||||
\(411\) | 32.7024 | − | 41.0075i | 1.61309 | − | 2.02275i | ||||
\(412\) | 3.55555 | + | 1.71226i | 0.175169 | + | 0.0843570i | ||||
\(413\) | 0.0639291 | + | 0.280092i | 0.00314575 | + | 0.0137824i | ||||
\(414\) | −0.514946 | − | 2.25613i | −0.0253082 | − | 0.110883i | ||||
\(415\) | 6.12978 | − | 7.68651i | 0.300899 | − | 0.377316i | ||||
\(416\) | 1.62349 | − | 0.781831i | 0.0795981 | − | 0.0383324i | ||||
\(417\) | 10.1744 | − | 44.5771i | 0.498244 | − | 2.18295i | ||||
\(418\) | −1.45636 | + | 0.701347i | −0.0712330 | + | 0.0343040i | ||||
\(419\) | −4.03632 | − | 5.06139i | −0.197187 | − | 0.247265i | 0.673401 | − | 0.739278i | \(-0.264833\pi\) |
−0.870588 | + | 0.492013i | \(0.836261\pi\) | |||||||
\(420\) | 2.07313 | + | 9.08299i | 0.101159 | + | 0.443205i | ||||
\(421\) | 14.4886 | + | 18.1681i | 0.706129 | + | 0.885457i | 0.997465 | − | 0.0711634i | \(-0.0226712\pi\) |
−0.291336 | + | 0.956621i | \(0.594100\pi\) | |||||||
\(422\) | 3.12573 | − | 13.6947i | 0.152158 | − | 0.666648i | ||||
\(423\) | −25.9658 | −1.26250 | ||||||||
\(424\) | 0.821326 | 0.0398871 | ||||||||
\(425\) | −0.257349 | + | 1.12752i | −0.0124833 | + | 0.0546927i | ||||
\(426\) | −18.6933 | + | 23.4407i | −0.905693 | + | 1.13570i | ||||
\(427\) | 37.6401 | + | 18.1265i | 1.82153 | + | 0.877203i | ||||
\(428\) | −8.39646 | + | 4.04352i | −0.405858 | + | 0.195451i | ||||
\(429\) | −2.80194 | −0.135279 | ||||||||
\(430\) | −3.75070 | − | 5.37887i | −0.180875 | − | 0.259392i | ||||
\(431\) | −26.8763 | −1.29459 | −0.647293 | − | 0.762242i | \(-0.724099\pi\) | ||||
−0.647293 | + | 0.762242i | \(0.724099\pi\) | |||||||
\(432\) | 1.10225 | − | 0.530816i | 0.0530321 | − | 0.0255389i | ||||
\(433\) | 28.7472 | + | 13.8439i | 1.38150 | + | 0.665297i | 0.969320 | − | 0.245804i | \(-0.0790519\pi\) |
0.412184 | + | 0.911101i | \(0.364766\pi\) | |||||||
\(434\) | −17.9066 | + | 22.4542i | −0.859544 | + | 1.07783i | ||||
\(435\) | 3.29123 | − | 14.4198i | 0.157802 | − | 0.691377i | ||||
\(436\) | −10.1262 | −0.484958 | ||||||||
\(437\) | −1.75949 | −0.0841680 | ||||||||
\(438\) | −0.815581 | + | 3.57330i | −0.0389700 | + | 0.170739i | ||||
\(439\) | 22.5201 | + | 28.2393i | 1.07482 | + | 1.34779i | 0.933806 | + | 0.357780i | \(0.116466\pi\) |
0.141019 | + | 0.990007i | \(0.454962\pi\) | |||||||
\(440\) | 0.135920 | + | 0.595504i | 0.00647972 | + | 0.0283895i | ||||
\(441\) | 13.8749 | + | 17.3986i | 0.660710 | + | 0.828505i | ||||
\(442\) | 1.87759 | − | 0.904201i | 0.0893079 | − | 0.0430084i | ||||
\(443\) | 0.633425 | − | 2.77522i | 0.0300949 | − | 0.131854i | −0.957649 | − | 0.287939i | \(-0.907030\pi\) |
0.987744 | + | 0.156084i | \(0.0498872\pi\) | |||||||
\(444\) | −25.4877 | + | 12.2742i | −1.20959 | + | 0.582509i | ||||
\(445\) | −7.31720 | + | 9.17548i | −0.346868 | + | 0.434959i | ||||
\(446\) | 1.84317 | + | 8.07547i | 0.0872768 | + | 0.382385i | ||||
\(447\) | 9.90624 | + | 43.4021i | 0.468549 | + | 2.05285i | ||||
\(448\) | −3.29731 | − | 1.58790i | −0.155783 | − | 0.0750212i | ||||
\(449\) | −2.61732 | + | 3.28202i | −0.123519 | + | 0.154888i | −0.839746 | − | 0.542979i | \(-0.817296\pi\) |
0.716227 | + | 0.697867i | \(0.245868\pi\) | |||||||
\(450\) | 2.17010 | + | 2.72123i | 0.102300 | + | 0.128280i | ||||
\(451\) | 3.43908 | + | 1.65617i | 0.161940 | + | 0.0779861i | ||||
\(452\) | −9.58784 | − | 4.61726i | −0.450974 | − | 0.217178i | ||||
\(453\) | 14.3274 | + | 17.9660i | 0.673162 | + | 0.844118i | ||||
\(454\) | 1.95316 | − | 2.44919i | 0.0916665 | − | 0.114946i | ||||
\(455\) | 5.94154 | + | 2.86130i | 0.278544 | + | 0.134140i | ||||
\(456\) | −1.49908 | − | 6.56791i | −0.0702010 | − | 0.307571i | ||||
\(457\) | −3.53468 | − | 15.4865i | −0.165346 | − | 0.724426i | −0.987817 | − | 0.155620i | \(-0.950263\pi\) |
0.822471 | − | 0.568806i | \(-0.192595\pi\) | |||||||
\(458\) | 1.76167 | − | 2.20907i | 0.0823175 | − | 0.103223i | ||||
\(459\) | 1.27477 | − | 0.613897i | 0.0595012 | − | 0.0286543i | ||||
\(460\) | −0.147948 | + | 0.648205i | −0.00689813 | + | 0.0302227i | ||||
\(461\) | 13.1153 | − | 6.31602i | 0.610843 | − | 0.294166i | −0.102772 | − | 0.994705i | \(-0.532771\pi\) |
0.713614 | + | 0.700539i | \(0.247057\pi\) | |||||||
\(462\) | 3.54812 | + | 4.44920i | 0.165073 | + | 0.206995i | ||||
\(463\) | 2.75075 | + | 12.0518i | 0.127838 | + | 0.560095i | 0.997759 | + | 0.0669044i | \(0.0213123\pi\) |
−0.869921 | + | 0.493190i | \(0.835831\pi\) | |||||||
\(464\) | 3.62251 | + | 4.54248i | 0.168171 | + | 0.210880i | ||||
\(465\) | −4.44541 | + | 19.4766i | −0.206151 | + | 0.903206i | ||||
\(466\) | −0.0568777 | −0.00263481 | ||||||||
\(467\) | 22.3308 | 1.03335 | 0.516674 | − | 0.856182i | \(-0.327170\pi\) | ||||
0.516674 | + | 0.856182i | \(0.327170\pi\) | |||||||
\(468\) | 1.39560 | − | 6.11454i | 0.0645118 | − | 0.282645i | ||||
\(469\) | −6.78253 | + | 8.50503i | −0.313188 | + | 0.392726i | ||||
\(470\) | 6.72141 | + | 3.23686i | 0.310036 | + | 0.149305i | ||||
\(471\) | −10.5052 | + | 5.05902i | −0.484052 | + | 0.233107i | ||||
\(472\) | −0.0785015 | −0.00361333 | ||||||||
\(473\) | −3.48964 | − | 1.96612i | −0.160454 | − | 0.0904023i | ||||
\(474\) | 31.1017 | 1.42855 | ||||||||
\(475\) | 2.38428 | − | 1.14821i | 0.109398 | − | 0.0526835i | ||||
\(476\) | −3.81339 | − | 1.83643i | −0.174786 | − | 0.0841727i | ||||
\(477\) | 1.78236 | − | 2.23501i | 0.0816088 | − | 0.102334i | ||||
\(478\) | 4.56739 | − | 20.0110i | 0.208907 | − | 0.915283i | ||||
\(479\) | 28.7709 | 1.31458 | 0.657288 | − | 0.753640i | \(-0.271704\pi\) | ||||
0.657288 | + | 0.753640i | \(0.271704\pi\) | |||||||
\(480\) | −2.54570 | −0.116195 | ||||||||
\(481\) | −4.45579 | + | 19.5221i | −0.203167 | + | 0.890131i | ||||
\(482\) | −5.92643 | − | 7.43150i | −0.269941 | − | 0.338496i | ||||
\(483\) | 1.37837 | + | 6.03905i | 0.0627182 | + | 0.274786i | ||||
\(484\) | −6.62576 | − | 8.30845i | −0.301171 | − | 0.377657i | ||||
\(485\) | 9.71734 | − | 4.67963i | 0.441242 | − | 0.212491i | ||||
\(486\) | −4.96741 | + | 21.7636i | −0.225326 | + | 0.987219i | ||||
\(487\) | −20.6739 | + | 9.95603i | −0.936824 | + | 0.451151i | −0.839048 | − | 0.544058i | \(-0.816887\pi\) |
−0.0977763 | + | 0.995208i | \(0.531173\pi\) | |||||||
\(488\) | −7.11739 | + | 8.92492i | −0.322189 | + | 0.404012i | ||||
\(489\) | −2.68472 | − | 11.7625i | −0.121407 | − | 0.531920i | ||||
\(490\) | −1.42272 | − | 6.23336i | −0.0642721 | − | 0.281595i | ||||
\(491\) | −21.3651 | − | 10.2889i | −0.964193 | − | 0.464331i | −0.115553 | − | 0.993301i | \(-0.536864\pi\) |
−0.848640 | + | 0.528970i | \(0.822578\pi\) | |||||||
\(492\) | −9.91874 | + | 12.4377i | −0.447171 | + | 0.560735i | ||||
\(493\) | 4.18949 | + | 5.25346i | 0.188685 | + | 0.236604i | ||||
\(494\) | −4.29633 | − | 2.06900i | −0.193301 | − | 0.0930888i | ||||
\(495\) | 1.91546 | + | 0.922437i | 0.0860935 | + | 0.0414604i | ||||
\(496\) | −4.89287 | − | 6.13546i | −0.219696 | − | 0.275490i | ||||
\(497\) | 26.8738 | − | 33.6987i | 1.20545 | − | 1.51159i | ||||
\(498\) | 22.5493 | + | 10.8592i | 1.01046 | + | 0.486610i | ||||
\(499\) | 0.379507 | + | 1.66273i | 0.0169891 | + | 0.0744339i | 0.982712 | − | 0.185142i | \(-0.0592744\pi\) |
−0.965723 | + | 0.259576i | \(0.916417\pi\) | |||||||
\(500\) | −0.222521 | − | 0.974928i | −0.00995144 | − | 0.0436001i | ||||
\(501\) | −37.9455 | + | 47.5821i | −1.69528 | + | 2.12581i | ||||
\(502\) | −16.9250 | + | 8.15064i | −0.755399 | + | 0.363781i | ||||
\(503\) | 6.88974 | − | 30.1859i | 0.307198 | − | 1.34592i | −0.551813 | − | 0.833968i | \(-0.686064\pi\) |
0.859012 | − | 0.511956i | \(-0.171079\pi\) | |||||||
\(504\) | −11.4765 | + | 5.52681i | −0.511206 | + | 0.246184i | ||||
\(505\) | 1.27009 | + | 1.59265i | 0.0565184 | + | 0.0708718i | ||||
\(506\) | 0.0903696 | + | 0.395935i | 0.00401742 | + | 0.0176015i | ||||
\(507\) | 15.4802 | + | 19.4115i | 0.687498 | + | 0.862095i | ||||
\(508\) | 1.90163 | − | 8.33158i | 0.0843711 | − | 0.369654i | ||||
\(509\) | −27.1410 | −1.20300 | −0.601501 | − | 0.798872i | \(-0.705431\pi\) | ||||
−0.601501 | + | 0.798872i | \(0.705431\pi\) | |||||||
\(510\) | −2.94414 | −0.130369 | ||||||||
\(511\) | 1.17249 | − | 5.13703i | 0.0518680 | − | 0.227249i | ||||
\(512\) | 0.623490 | − | 0.781831i | 0.0275546 | − | 0.0345524i | ||||
\(513\) | −2.91695 | − | 1.40473i | −0.128786 | − | 0.0620202i | ||||
\(514\) | −12.3232 | + | 5.93453i | −0.543552 | + | 0.261761i | ||||
\(515\) | −3.94636 | −0.173897 | ||||||||
\(516\) | 11.2250 | − | 12.3557i | 0.494154 | − | 0.543931i | ||||
\(517\) | 4.55683 | 0.200409 | ||||||||
\(518\) | 36.6415 | − | 17.6456i | 1.60994 | − | 0.775305i | ||||
\(519\) | −36.9232 | − | 17.7813i | −1.62075 | − | 0.780511i | ||||
\(520\) | −1.12349 | + | 1.40881i | −0.0492683 | + | 0.0617805i | ||||
\(521\) | 10.0034 | − | 43.8279i | 0.438259 | − | 1.92014i | 0.0495596 | − | 0.998771i | \(-0.484218\pi\) |
0.388699 | − | 0.921365i | \(-0.372925\pi\) | |||||||
\(522\) | 20.2224 | 0.885108 | ||||||||
\(523\) | −37.5954 | −1.64393 | −0.821966 | − | 0.569537i | \(-0.807122\pi\) | ||||
−0.821966 | + | 0.569537i | \(0.807122\pi\) | |||||||
\(524\) | 1.38269 | − | 6.05796i | 0.0604031 | − | 0.264643i | ||||
\(525\) | −5.80879 | − | 7.28400i | −0.253517 | − | 0.317900i | ||||
\(526\) | 4.73709 | + | 20.7545i | 0.206547 | + | 0.904941i | ||||
\(527\) | −5.65868 | − | 7.09576i | −0.246496 | − | 0.309096i | ||||
\(528\) | −1.40097 | + | 0.674671i | −0.0609693 | + | 0.0293613i | ||||
\(529\) | 5.01961 | − | 21.9924i | 0.218244 | − | 0.956190i | ||||
\(530\) | −0.739989 | + | 0.356360i | −0.0321431 | + | 0.0154793i | ||||
\(531\) | −0.170357 | + | 0.213620i | −0.00739285 | + | 0.00927034i | ||||
\(532\) | 2.15511 | + | 9.44213i | 0.0934357 | + | 0.409368i | ||||
\(533\) | 2.50571 | + | 10.9782i | 0.108534 | + | 0.475520i | ||||
\(534\) | −26.9173 | − | 12.9627i | −1.16483 | − | 0.560951i | ||||
\(535\) | 5.81053 | − | 7.28618i | 0.251211 | − | 0.315009i | ||||
\(536\) | −1.85328 | − | 2.32395i | −0.0800497 | − | 0.100379i | ||||
\(537\) | −11.4399 | − | 5.50915i | −0.493667 | − | 0.237738i | ||||
\(538\) | 5.99997 | + | 2.88943i | 0.258677 | + | 0.124572i | ||||
\(539\) | −2.43495 | − | 3.05334i | −0.104881 | − | 0.131517i | ||||
\(540\) | −0.762781 | + | 0.956497i | −0.0328249 | + | 0.0411611i | ||||
\(541\) | 0.417915 | + | 0.201257i | 0.0179676 | + | 0.00865273i | 0.442846 | − | 0.896598i | \(-0.353969\pi\) |
−0.424878 | + | 0.905250i | \(0.639683\pi\) | |||||||
\(542\) | −4.05920 | − | 17.7845i | −0.174357 | − | 0.763910i | ||||
\(543\) | 9.90551 | + | 43.3989i | 0.425086 | + | 1.86242i | ||||
\(544\) | 0.721076 | − | 0.904201i | 0.0309159 | − | 0.0387673i | ||||
\(545\) | 9.12340 | − | 4.39360i | 0.390804 | − | 0.188201i | ||||
\(546\) | −3.73566 | + | 16.3670i | −0.159871 | + | 0.700443i | ||||
\(547\) | −6.77989 | + | 3.26502i | −0.289887 | + | 0.139602i | −0.573176 | − | 0.819432i | \(-0.694289\pi\) |
0.283289 | + | 0.959035i | \(0.408575\pi\) | |||||||
\(548\) | −12.8462 | − | 16.1086i | −0.548761 | − | 0.688124i | ||||
\(549\) | 8.84125 | + | 38.7360i | 0.377335 | + | 1.65321i | ||||
\(550\) | −0.380839 | − | 0.477557i | −0.0162390 | − | 0.0203631i | ||||
\(551\) | 3.42136 | − | 14.9900i | 0.145755 | − | 0.638594i | ||||
\(552\) | −1.69257 | −0.0720405 | ||||||||
\(553\) | −44.7122 | −1.90136 | ||||||||
\(554\) | 5.28580 | − | 23.1586i | 0.224572 | − | 0.983915i | ||||
\(555\) | 17.6380 | − | 22.1174i | 0.748693 | − | 0.938832i | ||||
\(556\) | −16.1824 | − | 7.79302i | −0.686285 | − | 0.330498i | ||||
\(557\) | 15.0361 | − | 7.24098i | 0.637098 | − | 0.306810i | −0.0873104 | − | 0.996181i | \(-0.527827\pi\) |
0.724409 | + | 0.689371i | \(0.242113\pi\) | |||||||
\(558\) | −27.3140 | −1.15629 | ||||||||
\(559\) | −1.88385 | − | 11.6650i | −0.0796782 | − | 0.493375i | ||||
\(560\) | 3.65974 | 0.154652 | ||||||||
\(561\) | −1.62024 | + | 0.780268i | −0.0684067 | + | 0.0329429i | ||||
\(562\) | −25.9844 | − | 12.5134i | −1.09609 | − | 0.527848i | ||||
\(563\) | 9.90342 | − | 12.4185i | 0.417379 | − | 0.523377i | −0.528046 | − | 0.849216i | \(-0.677075\pi\) |
0.945425 | + | 0.325839i | \(0.105647\pi\) | |||||||
\(564\) | −4.22599 | + | 18.5153i | −0.177946 | + | 0.779633i | ||||
\(565\) | 10.6417 | 0.447700 | ||||||||
\(566\) | 26.1389 | 1.09870 | ||||||||
\(567\) | 5.96713 | − | 26.1437i | 0.250596 | − | 1.09793i | ||||
\(568\) | 7.34309 | + | 9.20795i | 0.308109 | + | 0.386357i | ||||
\(569\) | −7.50620 | − | 32.8868i | −0.314676 | − | 1.37869i | −0.846751 | − | 0.531990i | \(-0.821444\pi\) |
0.532074 | − | 0.846698i | \(-0.321413\pi\) | |||||||
\(570\) | 4.20034 | + | 5.26706i | 0.175933 | + | 0.220613i | ||||
\(571\) | −33.7766 | + | 16.2660i | −1.41351 | + | 0.680709i | −0.975852 | − | 0.218433i | \(-0.929905\pi\) |
−0.437656 | + | 0.899143i | \(0.644191\pi\) | |||||||
\(572\) | −0.244919 | + | 1.07306i | −0.0102406 | + | 0.0448669i | ||||
\(573\) | −50.3421 | + | 24.2435i | −2.10307 | + | 1.01279i | ||||
\(574\) | 14.2593 | − | 17.8806i | 0.595173 | − | 0.746324i | ||||
\(575\) | −0.147948 | − | 0.648205i | −0.00616988 | − | 0.0270320i | ||||
\(576\) | −0.774501 | − | 3.39331i | −0.0322709 | − | 0.141388i | ||||
\(577\) | 13.5654 | + | 6.53274i | 0.564734 | + | 0.271961i | 0.694392 | − | 0.719597i | \(-0.255674\pi\) |
−0.129658 | + | 0.991559i | \(0.541388\pi\) | |||||||
\(578\) | −9.76539 | + | 12.2454i | −0.406187 | + | 0.509342i | ||||
\(579\) | 13.0609 | + | 16.3779i | 0.542794 | + | 0.680643i | ||||
\(580\) | −5.23468 | − | 2.52089i | −0.217358 | − | 0.104674i | ||||
\(581\) | −32.4172 | − | 15.6113i | −1.34489 | − | 0.647666i | ||||
\(582\) | 17.1188 | + | 21.4663i | 0.709598 | + | 0.889808i | ||||
\(583\) | −0.312793 | + | 0.392230i | −0.0129546 | + | 0.0162445i | ||||
\(584\) | 1.29718 | + | 0.624688i | 0.0536776 | + | 0.0258498i | ||||
\(585\) | 1.39560 | + | 6.11454i | 0.0577011 | + | 0.252805i | ||||
\(586\) | −1.04781 | − | 4.59077i | −0.0432847 | − | 0.189643i | ||||
\(587\) | 5.37900 | − | 6.74505i | 0.222015 | − | 0.278398i | −0.658333 | − | 0.752727i | \(-0.728738\pi\) |
0.880348 | + | 0.474329i | \(0.157309\pi\) | |||||||
\(588\) | 14.6645 | − | 7.06204i | 0.604753 | − | 0.291233i | ||||
\(589\) | −4.62118 | + | 20.2467i | −0.190412 | + | 0.834251i | ||||
\(590\) | 0.0707274 | − | 0.0340605i | 0.00291180 | − | 0.00140225i | ||||
\(591\) | 28.4594 | + | 35.6869i | 1.17066 | + | 1.46796i | ||||
\(592\) | 2.47278 | + | 10.8339i | 0.101631 | + | 0.445273i | ||||
\(593\) | −12.5131 | − | 15.6909i | −0.513852 | − | 0.644350i | 0.455439 | − | 0.890267i | \(-0.349482\pi\) |
−0.969291 | + | 0.245917i | \(0.920911\pi\) | |||||||
\(594\) | −0.166285 | + | 0.728542i | −0.00682276 | + | 0.0298925i | ||||
\(595\) | 4.23254 | 0.173517 | ||||||||
\(596\) | 17.4876 | 0.716321 | ||||||||
\(597\) | −6.28656 | + | 27.5432i | −0.257292 | + | 1.12727i | ||||
\(598\) | −0.746980 | + | 0.936683i | −0.0305463 | + | 0.0383038i | ||||
\(599\) | −9.30330 | − | 4.48023i | −0.380122 | − | 0.183057i | 0.234059 | − | 0.972222i | \(-0.424799\pi\) |
−0.614181 | + | 0.789165i | \(0.710514\pi\) | |||||||
\(600\) | 2.29359 | − | 1.10454i | 0.0936356 | − | 0.0450925i | ||||
\(601\) | 16.8853 | 0.688767 | 0.344384 | − | 0.938829i | \(-0.388088\pi\) | ||||
0.344384 | + | 0.938829i | \(0.388088\pi\) | |||||||
\(602\) | −16.1373 | + | 17.7628i | −0.657705 | + | 0.723957i | ||||
\(603\) | −10.3458 | −0.421314 | ||||||||
\(604\) | 8.13284 | − | 3.91657i | 0.330920 | − | 0.159363i | ||||
\(605\) | 9.57451 | + | 4.61084i | 0.389259 | + | 0.187457i | ||||
\(606\) | −3.23327 | + | 4.05440i | −0.131343 | + | 0.164699i | ||||
\(607\) | 10.1688 | − | 44.5524i | 0.412738 | − | 1.80833i | −0.158288 | − | 0.987393i | \(-0.550597\pi\) |
0.571026 | − | 0.820932i | \(-0.306546\pi\) | |||||||
\(608\) | −2.64635 | −0.107324 | ||||||||
\(609\) | −54.1299 | −2.19345 | ||||||||
\(610\) | 2.54017 | − | 11.1292i | 0.102848 | − | 0.450608i | ||||
\(611\) | 8.38146 | + | 10.5100i | 0.339078 | + | 0.425190i | ||||
\(612\) | −0.895723 | − | 3.92442i | −0.0362075 | − | 0.158635i | ||||
\(613\) | 9.97242 | + | 12.5050i | 0.402782 | + | 0.505073i | 0.941314 | − | 0.337532i | \(-0.109592\pi\) |
−0.538532 | + | 0.842605i | \(0.681021\pi\) | |||||||
\(614\) | 7.70626 | − | 3.71114i | 0.310999 | − | 0.149769i | ||||
\(615\) | 3.53996 | − | 15.5096i | 0.142745 | − | 0.625406i | ||||
\(616\) | 2.01405 | − | 0.969918i | 0.0811486 | − | 0.0390791i | ||||
\(617\) | −16.3657 | + | 20.5220i | −0.658859 | + | 0.826183i | −0.993218 | − | 0.116263i | \(-0.962909\pi\) |
0.334360 | + | 0.942446i | \(0.391480\pi\) | |||||||
\(618\) | −2.23550 | − | 9.79436i | −0.0899249 | − | 0.393987i | ||||
\(619\) | 0.584772 | + | 2.56205i | 0.0235040 | + | 0.102978i | 0.985319 | − | 0.170722i | \(-0.0546099\pi\) |
−0.961815 | + | 0.273699i | \(0.911753\pi\) | |||||||
\(620\) | 7.07040 | + | 3.40492i | 0.283954 | + | 0.136745i | ||||
\(621\) | −0.507154 | + | 0.635950i | −0.0203514 | + | 0.0255198i | ||||
\(622\) | 9.27889 | + | 11.6354i | 0.372050 | + | 0.466535i | ||||
\(623\) | 38.6968 | + | 18.6354i | 1.55035 | + | 0.746611i | ||||
\(624\) | −4.13291 | − | 1.99031i | −0.165449 | − | 0.0796760i | ||||
\(625\) | 0.623490 | + | 0.781831i | 0.0249396 | + | 0.0312733i | ||||
\(626\) | 1.31462 | − | 1.64848i | 0.0525426 | − | 0.0658864i | ||||
\(627\) | 3.70746 | + | 1.78542i | 0.148062 | + | 0.0713027i | ||||
\(628\) | 1.01919 | + | 4.46538i | 0.0406703 | + | 0.178188i | ||||
\(629\) | 2.85981 | + | 12.5296i | 0.114028 | + | 0.499589i | ||||
\(630\) | 7.94201 | − | 9.95896i | 0.316417 | − | 0.396775i | ||||
\(631\) | 38.0147 | − | 18.3069i | 1.51334 | − | 0.728786i | 0.521144 | − | 0.853469i | \(-0.325506\pi\) |
0.992197 | + | 0.124683i | \(0.0397913\pi\) | |||||||
\(632\) | 2.71861 | − | 11.9110i | 0.108141 | − | 0.473795i | ||||
\(633\) | −32.2179 | + | 15.5153i | −1.28055 | + | 0.616678i | ||||
\(634\) | 17.1501 | + | 21.5055i | 0.681117 | + | 0.854093i | ||||
\(635\) | 1.90163 | + | 8.33158i | 0.0754638 | + | 0.330629i | ||||
\(636\) | −1.30362 | − | 1.63469i | −0.0516920 | − | 0.0648197i | ||||
\(637\) | 2.56366 | − | 11.2321i | 0.101576 | − | 0.445033i | ||||
\(638\) | −3.54889 | −0.140502 | ||||||||
\(639\) | 40.9922 | 1.62163 | ||||||||
\(640\) | −0.222521 | + | 0.974928i | −0.00879591 | + | 0.0385374i | ||||
\(641\) | −1.68578 | + | 2.11390i | −0.0665844 | + | 0.0834942i | −0.814008 | − | 0.580853i | \(-0.802719\pi\) |
0.747424 | + | 0.664347i | \(0.231290\pi\) | |||||||
\(642\) | 21.3749 | + | 10.2936i | 0.843598 | + | 0.406256i | ||||
\(643\) | −33.1399 | + | 15.9593i | −1.30691 | + | 0.629375i | −0.952164 | − | 0.305588i | \(-0.901147\pi\) |
−0.354746 | + | 0.934963i | \(0.615433\pi\) | |||||||
\(644\) | 2.43326 | 0.0958840 | ||||||||
\(645\) | −4.75244 | + | 16.0025i | −0.187127 | + | 0.630097i | ||||
\(646\) | −3.06055 | −0.120416 | ||||||||
\(647\) | 7.76579 | − | 3.73981i | 0.305305 | − | 0.147027i | −0.274958 | − | 0.961456i | \(-0.588664\pi\) |
0.580263 | + | 0.814429i | \(0.302950\pi\) | |||||||
\(648\) | 6.60168 | + | 3.17920i | 0.259338 | + | 0.124891i | ||||
\(649\) | 0.0298964 | − | 0.0374889i | 0.00117354 | − | 0.00147157i | ||||
\(650\) | 0.400969 | − | 1.75676i | 0.0157273 | − | 0.0689058i | ||||
\(651\) | 73.1123 | 2.86550 | ||||||||
\(652\) | −4.73938 | −0.185608 | ||||||||
\(653\) | −8.97746 | + | 39.3328i | −0.351315 | + | 1.53921i | 0.422832 | + | 0.906208i | \(0.361036\pi\) |
−0.774148 | + | 0.633005i | \(0.781821\pi\) | |||||||
\(654\) | 16.0725 | + | 20.1543i | 0.628484 | + | 0.788094i | ||||
\(655\) | 1.38269 | + | 6.05796i | 0.0540262 | + | 0.236704i | ||||
\(656\) | 3.89628 | + | 4.88578i | 0.152124 | + | 0.190758i | ||||
\(657\) | 4.51493 | − | 2.17427i | 0.176144 | − | 0.0848265i | ||||
\(658\) | 6.07535 | − | 26.6178i | 0.236842 | − | 1.03767i | ||||
\(659\) | 15.8011 | − | 7.60940i | 0.615522 | − | 0.296420i | −0.100024 | − | 0.994985i | \(-0.531892\pi\) |
0.715547 | + | 0.698565i | \(0.246178\pi\) | |||||||
\(660\) | 0.969501 | − | 1.21572i | 0.0377378 | − | 0.0473217i | ||||
\(661\) | 4.48259 | + | 19.6395i | 0.174353 | + | 0.763889i | 0.984173 | + | 0.177211i | \(0.0567074\pi\) |
−0.809820 | + | 0.586678i | \(0.800435\pi\) | |||||||
\(662\) | −0.494745 | − | 2.16762i | −0.0192288 | − | 0.0842468i | ||||
\(663\) | −4.77978 | − | 2.30182i | −0.185631 | − | 0.0893953i | ||||
\(664\) | 6.12978 | − | 7.68651i | 0.237882 | − | 0.298294i | ||||
\(665\) | −6.03847 | − | 7.57200i | −0.234162 | − | 0.293630i | ||||
\(666\) | 34.8478 | + | 16.7818i | 1.35032 | + | 0.650282i | ||||
\(667\) | −3.48040 | − | 1.67607i | −0.134762 | − | 0.0648979i | ||||
\(668\) | 14.9057 | + | 18.6912i | 0.576720 | + | 0.723184i | ||||
\(669\) | 13.1472 | − | 16.4860i | 0.508298 | − | 0.637386i | ||||
\(670\) | 2.67807 | + | 1.28969i | 0.103463 | + | 0.0498252i | ||||
\(671\) | −1.55158 | − | 6.79791i | −0.0598980 | − | 0.262431i | ||||
\(672\) | 2.07313 | + | 9.08299i | 0.0799729 | + | 0.350384i | ||||
\(673\) | −5.70751 | + | 7.15699i | −0.220008 | + | 0.275882i | −0.879571 | − | 0.475768i | \(-0.842170\pi\) |
0.659563 | + | 0.751650i | \(0.270742\pi\) | |||||||
\(674\) | 1.38881 | − | 0.668813i | 0.0534948 | − | 0.0257617i | ||||
\(675\) | 0.272233 | − | 1.19273i | 0.0104783 | − | 0.0459083i | ||||
\(676\) | 8.78717 | − | 4.23168i | 0.337968 | − | 0.162757i | ||||
\(677\) | −18.9634 | − | 23.7794i | −0.728823 | − | 0.913915i | 0.269978 | − | 0.962866i | \(-0.412983\pi\) |
−0.998801 | + | 0.0489516i | \(0.984412\pi\) | |||||||
\(678\) | 6.02821 | + | 26.4113i | 0.231512 | + | 1.01432i | ||||
\(679\) | −24.6103 | − | 30.8603i | −0.944456 | − | 1.18431i | ||||
\(680\) | −0.257349 | + | 1.12752i | −0.00986888 | + | 0.0432384i | ||||
\(681\) | −7.97474 | −0.305593 | ||||||||
\(682\) | 4.79342 | 0.183550 | ||||||||
\(683\) | −5.91424 | + | 25.9120i | −0.226302 | + | 0.991495i | 0.726324 | + | 0.687352i | \(0.241227\pi\) |
−0.952626 | + | 0.304143i | \(0.901630\pi\) | |||||||
\(684\) | −5.74287 | + | 7.20133i | −0.219584 | + | 0.275350i | ||||
\(685\) | 18.5632 | + | 8.93958i | 0.709265 | + | 0.341564i | ||||
\(686\) | 1.99928 | − | 0.962803i | 0.0763329 | − | 0.0367600i | ||||
\(687\) | −7.19288 | −0.274425 | ||||||||
\(688\) | −3.75070 | − | 5.37887i | −0.142994 | − | 0.205068i | ||||
\(689\) | −1.47998 | −0.0563827 | ||||||||
\(690\) | 1.52495 | − | 0.734378i | 0.0580539 | − | 0.0279573i | ||||
\(691\) | 20.9218 | + | 10.0754i | 0.795902 | + | 0.383286i | 0.787217 | − | 0.616676i | \(-0.211521\pi\) |
0.00868526 | + | 0.999962i | \(0.497235\pi\) | |||||||
\(692\) | −10.0372 | + | 12.5862i | −0.381557 | + | 0.478457i | ||||
\(693\) | 1.73135 | − | 7.58552i | 0.0657684 | − | 0.288150i | ||||
\(694\) | −4.13681 | −0.157031 | ||||||||
\(695\) | 17.9611 | 0.681302 | ||||||||
\(696\) | 3.29123 | − | 14.4198i | 0.124754 | − | 0.546582i | ||||
\(697\) | 4.50611 | + | 5.65048i | 0.170681 | + | 0.214027i | ||||
\(698\) | −6.42676 | − | 28.1575i | −0.243257 | − | 1.06578i | ||||
\(699\) | 0.0902773 | + | 0.113204i | 0.00341460 | + | 0.00428177i | ||||
\(700\) | −3.29731 | + | 1.58790i | −0.124627 | + | 0.0600170i | ||||
\(701\) | 1.47609 | − | 6.46719i | 0.0557513 | − | 0.244263i | −0.939372 | − | 0.342899i | \(-0.888591\pi\) |
0.995124 | + | 0.0986367i | \(0.0314482\pi\) | |||||||
\(702\) | −1.98619 | + | 0.956497i | −0.0749638 | + | 0.0361007i | ||||
\(703\) | 18.3354 | − | 22.9919i | 0.691535 | − | 0.867157i | ||||
\(704\) | 0.135920 | + | 0.595504i | 0.00512267 | + | 0.0224439i | ||||
\(705\) | −4.22599 | − | 18.5153i | −0.159160 | − | 0.697325i | ||||
\(706\) | −29.5315 | − | 14.2216i | −1.11143 | − | 0.535239i | ||||
\(707\) | 4.64820 | − | 5.82866i | 0.174814 | − | 0.219209i | ||||
\(708\) | 0.124599 | + | 0.156242i | 0.00468272 | + | 0.00587194i | ||||
\(709\) | 41.9086 | + | 20.1821i | 1.57391 | + | 0.757955i | 0.998216 | − | 0.0597094i | \(-0.0190174\pi\) |
0.575695 | + | 0.817665i | \(0.304732\pi\) | |||||||
\(710\) | −10.6111 | − | 5.11003i | −0.398227 | − | 0.191776i | ||||
\(711\) | −26.5129 | − | 33.2461i | −0.994312 | − | 1.24683i | ||||
\(712\) | −7.31720 | + | 9.17548i | −0.274224 | + | 0.343866i | ||||
\(713\) | 4.70093 | + | 2.26385i | 0.176051 | + | 0.0847817i | ||||
\(714\) | 2.39761 | + | 10.5046i | 0.0897284 | + | 0.393126i | ||||
\(715\) | −0.244919 | − | 1.07306i | −0.00915945 | − | 0.0401302i | ||||
\(716\) | −3.10981 | + | 3.89958i | −0.116219 | + | 0.145734i | ||||
\(717\) | −47.0775 | + | 22.6713i | −1.75814 | + | 0.846677i | ||||
\(718\) | 5.67812 | − | 24.8775i | 0.211906 | − | 0.928419i | ||||
\(719\) | 36.6412 | − | 17.6455i | 1.36649 | − | 0.658065i | 0.400413 | − | 0.916335i | \(-0.368867\pi\) |
0.966073 | + | 0.258269i | \(0.0831522\pi\) | |||||||
\(720\) | 2.17010 | + | 2.72123i | 0.0808750 | + | 0.101414i | ||||
\(721\) | 3.21379 | + | 14.0805i | 0.119688 | + | 0.524386i | ||||
\(722\) | −7.47989 | − | 9.37948i | −0.278373 | − | 0.349068i | ||||
\(723\) | −5.38445 | + | 23.5908i | −0.200250 | + | 0.877352i | ||||
\(724\) | 17.4863 | 0.649875 | ||||||||
\(725\) | 5.81006 | 0.215780 | ||||||||
\(726\) | −6.01983 | + | 26.3746i | −0.223417 | + | 0.978854i | ||||
\(727\) | −21.4209 | + | 26.8609i | −0.794456 | + | 0.996217i | 0.205390 | + | 0.978680i | \(0.434154\pi\) |
−0.999846 | + | 0.0175364i | \(0.994418\pi\) | |||||||
\(728\) | 5.94154 | + | 2.86130i | 0.220208 | + | 0.106047i | ||||
\(729\) | 31.3957 | − | 15.1193i | 1.16280 | − | 0.559976i | ||||
\(730\) | −1.43976 | −0.0532878 | ||||||||
\(731\) | −4.33774 | − | 6.22075i | −0.160437 | − | 0.230083i | ||||
\(732\) | 29.0602 | 1.07409 | ||||||||
\(733\) | −40.2953 | + | 19.4052i | −1.48834 | + | 0.716747i | −0.988759 | − | 0.149520i | \(-0.952227\pi\) |
−0.499581 | + | 0.866267i | \(0.666513\pi\) | |||||||
\(734\) | −13.5718 | − | 6.53583i | −0.500944 | − | 0.241242i | ||||
\(735\) | −10.1481 | + | 12.7254i | −0.374319 | + | 0.469382i | ||||
\(736\) | −0.147948 | + | 0.648205i | −0.00545345 | + | 0.0238931i | ||||
\(737\) | 1.81562 | 0.0668792 | ||||||||
\(738\) | 21.7506 | 0.800652 | ||||||||
\(739\) | 0.273146 | − | 1.19673i | 0.0100478 | − | 0.0440225i | −0.969655 | − | 0.244475i | \(-0.921384\pi\) |
0.979703 | + | 0.200453i | \(0.0642414\pi\) | |||||||
\(740\) | −6.92857 | − | 8.68815i | −0.254699 | − | 0.319383i | ||||
\(741\) | 2.70125 | + | 11.8350i | 0.0992331 | + | 0.434768i | ||||
\(742\) | 1.87411 | + | 2.35006i | 0.0688007 | + | 0.0862733i | ||||
\(743\) | 7.07505 | − | 3.40716i | 0.259558 | − | 0.124997i | −0.299580 | − | 0.954071i | \(-0.596846\pi\) |
0.559138 | + | 0.829075i | \(0.311132\pi\) | |||||||
\(744\) | −4.44541 | + | 19.4766i | −0.162977 | + | 0.714047i | ||||
\(745\) | −15.7558 | + | 7.58760i | −0.577248 | + | 0.277988i | ||||
\(746\) | −0.0509199 | + | 0.0638515i | −0.00186431 | + | 0.00233777i | ||||
\(747\) | −7.61444 | − | 33.3611i | −0.278598 | − | 1.22062i | ||||
\(748\) | 0.157193 | + | 0.688709i | 0.00574756 | + | 0.0251817i | ||||
\(749\) | −30.7288 | − | 14.7982i | −1.12281 | − | 0.540715i | ||||
\(750\) | −1.58722 | + | 1.99031i | −0.0579570 | + | 0.0726757i | ||||
\(751\) | −30.3434 | − | 38.0494i | −1.10725 | − | 1.38844i | −0.913230 | − | 0.407445i | \(-0.866420\pi\) |
−0.194017 | − | 0.980998i | \(-0.562152\pi\) | |||||||
\(752\) | 6.72141 | + | 3.23686i | 0.245105 | + | 0.118036i | ||||
\(753\) | 43.0859 | + | 20.7491i | 1.57014 | + | 0.756138i | ||||
\(754\) | −6.52754 | − | 8.18527i | −0.237719 | − | 0.298090i | ||||
\(755\) | −5.62810 | + | 7.05741i | −0.204827 | + | 0.256846i | ||||
\(756\) | 4.03395 | + | 1.94265i | 0.146713 | + | 0.0706533i | ||||
\(757\) | 7.30948 | + | 32.0249i | 0.265667 | + | 1.16396i | 0.914998 | + | 0.403459i | \(0.132192\pi\) |
−0.649331 | + | 0.760506i | \(0.724951\pi\) | |||||||
\(758\) | −3.43648 | − | 15.0562i | −0.124819 | − | 0.546866i | ||||
\(759\) | 0.644596 | − | 0.808298i | 0.0233974 | − | 0.0293394i | ||||
\(760\) | 2.38428 | − | 1.14821i | 0.0864870 | − | 0.0416500i | ||||
\(761\) | 1.09996 | − | 4.81924i | 0.0398735 | − | 0.174697i | −0.951070 | − | 0.308975i | \(-0.900014\pi\) |
0.990944 | + | 0.134277i | \(0.0428713\pi\) | |||||||
\(762\) | −19.6007 | + | 9.43920i | −0.710058 | + | 0.341946i | ||||
\(763\) | −23.1061 | − | 28.9741i | −0.836496 | − | 1.04893i | ||||
\(764\) | 4.88411 | + | 21.3987i | 0.176701 | + | 0.774177i | ||||
\(765\) | 2.50976 | + | 3.14714i | 0.0907406 | + | 0.113785i | ||||
\(766\) | −3.52822 | + | 15.4582i | −0.127480 | + | 0.558526i | ||||
\(767\) | 0.141455 | 0.00510764 | ||||||||
\(768\) | −2.54570 | −0.0918600 | ||||||||
\(769\) | −4.33830 | + | 19.0073i | −0.156443 | + | 0.685422i | 0.834485 | + | 0.551030i | \(0.185765\pi\) |
−0.990928 | + | 0.134391i | \(0.957092\pi\) | |||||||
\(770\) | −1.39377 | + | 1.74773i | −0.0502280 | + | 0.0629839i | ||||
\(771\) | 31.3711 | + | 15.1075i | 1.12980 | + | 0.544084i | ||||
\(772\) | 7.41393 | − | 3.57036i | 0.266833 | − | 0.128500i | ||||
\(773\) | −17.1308 | −0.616152 | −0.308076 | − | 0.951362i | \(-0.599685\pi\) | ||||
−0.308076 | + | 0.951362i | \(0.599685\pi\) | |||||||
\(774\) | −22.7765 | − | 1.46622i | −0.818685 | − | 0.0527024i | ||||
\(775\) | −7.84755 | −0.281892 | ||||||||
\(776\) | 9.71734 | − | 4.67963i | 0.348832 | − | 0.167989i | ||||
\(777\) | −93.2783 | − | 44.9205i | −3.34634 | − | 1.61151i | ||||
\(778\) | −13.0061 | + | 16.3092i | −0.466292 | + | 0.584712i | ||||
\(779\) | 3.67993 | − | 16.1228i | 0.131847 | − | 0.577660i | ||||
\(780\) | 4.58719 | 0.164248 | ||||||||
\(781\) | −7.19385 | −0.257416 | ||||||||
\(782\) | −0.171105 | + | 0.749659i | −0.00611869 | + | 0.0268077i | ||||
\(783\) | −4.43180 | − | 5.55730i | −0.158380 | − | 0.198602i | ||||
\(784\) | −1.42272 | − | 6.23336i | −0.0508116 | − | 0.222620i | ||||
\(785\) | −2.85572 | − | 3.58096i | −0.101925 | − | 0.127810i | ||||
\(786\) | −14.2518 | + | 6.86332i | −0.508346 | + | 0.244807i | ||||
\(787\) | −7.81237 | + | 34.2282i | −0.278481 | + | 1.22011i | 0.621233 | + | 0.783626i | \(0.286632\pi\) |
−0.899714 | + | 0.436479i | \(0.856225\pi\) | |||||||
\(788\) | 16.1547 | − | 7.77970i | 0.575488 | − | 0.277140i | ||||
\(789\) | 33.7891 | − | 42.3702i | 1.20292 | − | 1.50842i | ||||
\(790\) | 2.71861 | + | 11.9110i | 0.0967239 | + | 0.423775i | ||||
\(791\) | −8.66626 | − | 37.9693i | −0.308137 | − | 1.35003i | ||||
\(792\) | 1.91546 | + | 0.922437i | 0.0680629 | + | 0.0327774i | ||||
\(793\) | 12.8251 | − | 16.0822i | 0.455432 | − | 0.571094i | ||||
\(794\) | 7.04968 | + | 8.84002i | 0.250184 | + | 0.313720i | ||||
\(795\) | 1.88379 | + | 0.907185i | 0.0668111 | + | 0.0321745i | ||||
\(796\) | 9.99874 | + | 4.81514i | 0.354396 | + | 0.170668i | ||||
\(797\) | 2.02527 | + | 2.53961i | 0.0717387 | + | 0.0899575i | 0.816406 | − | 0.577478i | \(-0.195963\pi\) |
−0.744667 | + | 0.667436i | \(0.767392\pi\) | |||||||
\(798\) | 15.3721 | − | 19.2760i | 0.544167 | − | 0.682364i | ||||
\(799\) | 7.77342 | + | 3.74348i | 0.275004 | + | 0.132435i | ||||
\(800\) | −0.222521 | − | 0.974928i | −0.00786730 | − | 0.0344689i | ||||
\(801\) | 9.08945 | + | 39.8235i | 0.321160 | + | 1.40709i | ||||
\(802\) | 10.5857 | − | 13.2740i | 0.373794 | − | 0.468722i | ||||
\(803\) | −0.792339 | + | 0.381571i | −0.0279610 | + | 0.0134653i | ||||
\(804\) | −1.68380 | + | 7.37721i | −0.0593831 | + | 0.260174i | ||||
\(805\) | −2.19230 | + | 1.05575i | −0.0772683 | + | 0.0372104i | ||||
\(806\) | 8.81664 | + | 11.0557i | 0.310553 | + | 0.389421i | ||||
\(807\) | −3.77239 | − | 16.5279i | −0.132795 | − | 0.581811i | ||||
\(808\) | 1.27009 | + | 1.59265i | 0.0446817 | + | 0.0560291i | ||||
\(809\) | 9.21101 | − | 40.3561i | 0.323842 | − | 1.41884i | −0.506813 | − | 0.862056i | \(-0.669176\pi\) |
0.830655 | − | 0.556788i | \(-0.187966\pi\) | |||||||
\(810\) | −7.32731 | −0.257455 | ||||||||
\(811\) | 28.8530 | 1.01317 | 0.506584 | − | 0.862191i | \(-0.330908\pi\) | ||||
0.506584 | + | 0.862191i | \(0.330908\pi\) | |||||||
\(812\) | −4.73152 | + | 20.7302i | −0.166044 | + | 0.727486i | ||||
\(813\) | −28.9538 | + | 36.3069i | −1.01545 | + | 1.27334i | ||||
\(814\) | −6.11555 | − | 2.94510i | −0.214350 | − | 0.103226i | ||||
\(815\) | 4.27003 | − | 2.05634i | 0.149573 | − | 0.0720304i | ||||
\(816\) | −2.94414 | −0.103066 | ||||||||
\(817\) | −4.94035 | + | 16.6352i | −0.172841 | + | 0.581992i | ||||
\(818\) | 28.7128 | 1.00392 | ||||||||
\(819\) | 20.6800 | − | 9.95896i | 0.722618 | − | 0.347994i | ||||
\(820\) | −5.63028 | − | 2.71140i | −0.196618 | − | 0.0946862i | ||||
\(821\) | −12.6039 | + | 15.8048i | −0.439878 | + | 0.551590i | −0.951511 | − | 0.307614i | \(-0.900469\pi\) |
0.511633 | + | 0.859204i | \(0.329041\pi\) | |||||||
\(822\) | −11.6714 | + | 51.1356i | −0.407085 | + | 1.78356i | ||||
\(823\) | −15.9184 | −0.554882 | −0.277441 | − | 0.960743i | \(-0.589486\pi\) | ||||
−0.277441 | + | 0.960743i | \(0.589486\pi\) | |||||||
\(824\) | −3.94636 | −0.137478 | ||||||||
\(825\) | −0.346011 | + | 1.51597i | −0.0120465 | + | 0.0527794i | ||||
\(826\) | −0.179125 | − | 0.224616i | −0.00623257 | − | 0.00781540i | ||||
\(827\) | 8.81347 | + | 38.6143i | 0.306474 | + | 1.34275i | 0.860159 | + | 0.510026i | \(0.170364\pi\) |
−0.553685 | + | 0.832726i | \(0.686779\pi\) | |||||||
\(828\) | 1.44285 | + | 1.80927i | 0.0501424 | + | 0.0628766i | ||||
\(829\) | 49.6001 | − | 23.8861i | 1.72268 | − | 0.829600i | 0.734077 | − | 0.679066i | \(-0.237615\pi\) |
0.988605 | − | 0.150533i | \(-0.0480991\pi\) | |||||||
\(830\) | −2.18769 | + | 9.58492i | −0.0759360 | + | 0.332697i | ||||
\(831\) | −54.4825 | + | 26.2374i | −1.88998 | + | 0.910164i | ||||
\(832\) | −1.12349 | + | 1.40881i | −0.0389500 | + | 0.0488418i | ||||
\(833\) | −1.64540 | − | 7.20898i | −0.0570098 | − | 0.249776i | ||||
\(834\) | 10.1744 | + | 44.5771i | 0.352312 | + | 1.54358i | ||||
\(835\) | −21.5394 | − | 10.3728i | −0.745401 | − | 0.358966i | ||||
\(836\) | 1.00783 | − | 1.26378i | 0.0348567 | − | 0.0437089i | ||||
\(837\) | 5.98596 | + | 7.50616i | 0.206905 | + | 0.259451i | ||||
\(838\) | 5.83266 | + | 2.80886i | 0.201486 | + | 0.0970304i | ||||
\(839\) | 40.7719 | + | 19.6347i | 1.40760 | + | 0.677866i | 0.974688 | − | 0.223568i | \(-0.0717706\pi\) |
0.432915 | + | 0.901435i | \(0.357485\pi\) | |||||||
\(840\) | −5.80879 | − | 7.28400i | −0.200422 | − | 0.251322i | ||||
\(841\) | 2.96579 | − | 3.71898i | 0.102269 | − | 0.128241i | ||||
\(842\) | −20.9366 | − | 10.0825i | −0.721522 | − | 0.347466i | ||||
\(843\) | 16.3373 | + | 71.5785i | 0.562688 | + | 2.46530i | ||||
\(844\) | 3.12573 | + | 13.6947i | 0.107592 | + | 0.471391i | ||||
\(845\) | −6.08091 | + | 7.62522i | −0.209190 | + | 0.262315i | ||||
\(846\) | 23.3944 | − | 11.2661i | 0.804316 | − | 0.387338i | ||||
\(847\) | 8.65421 | − | 37.9166i | 0.297362 | − | 1.30283i | ||||
\(848\) | −0.739989 | + | 0.356360i | −0.0254113 | + | 0.0122375i | ||||
\(849\) | −41.4881 | − | 52.0245i | −1.42387 | − | 1.78548i | ||||
\(850\) | −0.257349 | − | 1.12752i | −0.00882700 | − | 0.0386736i | ||||
\(851\) | −4.60663 | − | 5.77653i | −0.157913 | − | 0.198017i | ||||
\(852\) | 6.67156 | − | 29.2300i | 0.228564 | − | 1.00140i | ||||
\(853\) | −40.8469 | −1.39857 | −0.699286 | − | 0.714842i | \(-0.746498\pi\) | ||||
−0.699286 | + | 0.714842i | \(0.746498\pi\) | |||||||
\(854\) | −41.7774 | −1.42959 | ||||||||
\(855\) | 2.04960 | − | 8.97991i | 0.0700950 | − | 0.307106i | ||||
\(856\) | 5.81053 | − | 7.28618i | 0.198600 | − | 0.249036i | ||||
\(857\) | 25.2449 | + | 12.1573i | 0.862348 | + | 0.415285i | 0.812146 | − | 0.583454i | \(-0.198299\pi\) |
0.0502018 | + | 0.998739i | \(0.484014\pi\) | |||||||
\(858\) | 2.52446 | − | 1.21572i | 0.0861836 | − | 0.0415038i | ||||
\(859\) | 1.03395 | 0.0352781 | 0.0176390 | − | 0.999844i | \(-0.494385\pi\) | ||||
0.0176390 | + | 0.999844i | \(0.494385\pi\) | |||||||
\(860\) | 5.71307 | + | 3.21883i | 0.194814 | + | 0.109761i | ||||
\(861\) | −58.2206 | −1.98415 | ||||||||
\(862\) | 24.2147 | − | 11.6612i | 0.824756 | − | 0.397181i | ||||
\(863\) | 30.4916 | + | 14.6840i | 1.03795 | + | 0.499848i | 0.873646 | − | 0.486562i | \(-0.161749\pi\) |
0.164300 | + | 0.986410i | \(0.447464\pi\) | |||||||
\(864\) | −0.762781 | + | 0.956497i | −0.0259503 | + | 0.0325407i | ||||
\(865\) | 3.58223 | − | 15.6948i | 0.121799 | − | 0.533638i | ||||
\(866\) | −31.9070 | −1.08424 | ||||||||
\(867\) | 39.8719 | 1.35412 | ||||||||
\(868\) | 6.39079 | − | 27.9999i | 0.216918 | − | 0.950378i | ||||
\(869\) | 4.65284 | + | 5.83447i | 0.157837 | + | 0.197921i | ||||
\(870\) | 3.29123 | + | 14.4198i | 0.111583 | + | 0.488878i | ||||
\(871\) | 3.33950 | + | 4.18761i | 0.113155 | + | 0.141892i | ||||
\(872\) | 9.12340 | − | 4.39360i | 0.308957 | − | 0.148786i | ||||
\(873\) | 8.35334 | − | 36.5984i | 0.282718 | − | 1.23867i | ||||
\(874\) | 1.58525 | − | 0.763415i | 0.0536218 | − | 0.0258229i | ||||
\(875\) | 2.28181 | − | 2.86130i | 0.0771392 | − | 0.0967295i | ||||
\(876\) | −0.815581 | − | 3.57330i | −0.0275559 | − | 0.120730i | ||||
\(877\) | 5.32651 | + | 23.3370i | 0.179863 | + | 0.788033i | 0.981691 | + | 0.190478i | \(0.0610038\pi\) |
−0.801828 | + | 0.597555i | \(0.796139\pi\) | |||||||
\(878\) | −32.5424 | − | 15.6716i | −1.09825 | − | 0.528891i | ||||
\(879\) | −7.47393 | + | 9.37201i | −0.252089 | + | 0.316110i | ||||
\(880\) | −0.380839 | − | 0.477557i | −0.0128381 | − | 0.0160984i | ||||
\(881\) | −50.3949 | − | 24.2689i | −1.69785 | − | 0.817641i | −0.994255 | − | 0.107038i | \(-0.965863\pi\) |
−0.703593 | − | 0.710603i | \(-0.748422\pi\) | |||||||
\(882\) | −20.0498 | − | 9.65549i | −0.675113 | − | 0.325117i | ||||
\(883\) | −25.7398 | − | 32.2767i | −0.866213 | − | 1.08620i | −0.995516 | − | 0.0945915i | \(-0.969846\pi\) |
0.129303 | − | 0.991605i | \(-0.458726\pi\) | |||||||
\(884\) | −1.29933 | + | 1.62931i | −0.0437013 | + | 0.0547997i | ||||
\(885\) | −0.180051 | − | 0.0867079i | −0.00605234 | − | 0.00291465i | ||||
\(886\) | 0.633425 | + | 2.77522i | 0.0212803 | + | 0.0932352i | ||||
\(887\) | −6.40466 | − | 28.0607i | −0.215048 | − | 0.942185i | −0.961079 | − | 0.276274i | \(-0.910900\pi\) |
0.746031 | − | 0.665911i | \(-0.231957\pi\) | |||||||
\(888\) | 17.6380 | − | 22.1174i | 0.591894 | − | 0.742212i | ||||
\(889\) | 28.1783 | − | 13.5699i | 0.945069 | − | 0.455121i | ||||
\(890\) | 2.61148 | − | 11.4416i | 0.0875369 | − | 0.383524i | ||||
\(891\) | −4.03242 | + | 1.94191i | −0.135091 | + | 0.0650565i | ||||
\(892\) | −5.16446 | − | 6.47603i | −0.172919 | − | 0.216833i | ||||
\(893\) | −4.39308 | − | 19.2474i | −0.147009 | − | 0.644088i | ||||
\(894\) | −27.7567 | − | 34.8057i | −0.928321 | − | 1.16408i | ||||
\(895\) | 1.10988 | − | 4.86270i | 0.0370992 | − | 0.162542i | ||||
\(896\) | 3.65974 | 0.122263 | ||||||||
\(897\) | 3.04990 | 0.101833 | ||||||||
\(898\) | 0.934111 | − | 4.09261i | 0.0311717 | − | 0.136572i | ||||
\(899\) | −28.4278 | + | 35.6474i | −0.948121 | + | 1.18891i | ||||
\(900\) | −3.13589 | − | 1.51017i | −0.104530 | − | 0.0503389i | ||||
\(901\) | −0.855809 | + | 0.412136i | −0.0285111 | + | 0.0137302i | ||||
\(902\) | −3.81709 | −0.127095 | ||||||||
\(903\) | 60.9667 | + | 3.92469i | 2.02885 | + | 0.130606i | ||||
\(904\) | 10.6417 | 0.353938 | ||||||||
\(905\) | −15.7547 | + | 7.58704i | −0.523702 | + | 0.252202i | ||||
\(906\) | −20.7037 | − | 9.97040i | −0.687836 | − | 0.331244i | ||||
\(907\) | 20.2247 | − | 25.3610i | 0.671550 | − | 0.842097i | −0.322996 | − | 0.946400i | \(-0.604690\pi\) |
0.994546 | + | 0.104304i | \(0.0332614\pi\) | |||||||
\(908\) | −0.697076 | + | 3.05409i | −0.0231333 | + | 0.101354i | ||||
\(909\) | 7.09018 | 0.235167 | ||||||||
\(910\) | −6.59462 | −0.218609 | ||||||||
\(911\) | −6.69197 | + | 29.3195i | −0.221715 | + | 0.971397i | 0.734472 | + | 0.678639i | \(0.237430\pi\) |
−0.956187 | + | 0.292757i | \(0.905427\pi\) | |||||||
\(912\) | 4.20034 | + | 5.26706i | 0.139087 | + | 0.174410i | ||||
\(913\) | 1.33628 | + | 5.85464i | 0.0442245 | + | 0.193760i | ||||
\(914\) | 9.90396 | + | 12.4192i | 0.327594 | + | 0.410790i | ||||
\(915\) | −26.1823 | + | 12.6087i | −0.865560 | + | 0.416832i | ||||
\(916\) | −0.628733 | + | 2.75466i | −0.0207739 | + | 0.0910166i | ||||
\(917\) | 20.4887 | − | 9.86682i | 0.676595 | − | 0.325831i | ||||
\(918\) | −0.882168 | + | 1.10620i | −0.0291159 | + | 0.0365102i | ||||
\(919\) | 6.71705 | + | 29.4293i | 0.221575 | + | 0.970783i | 0.956293 | + | 0.292411i | \(0.0944574\pi\) |
−0.734718 | + | 0.678373i | \(0.762685\pi\) | |||||||
\(920\) | −0.147948 | − | 0.648205i | −0.00487772 | − | 0.0213707i | ||||
\(921\) | −19.6178 | − | 9.44744i | −0.646429 | − | 0.311304i | ||||
\(922\) | −9.07610 | + | 11.3811i | −0.298905 | + | 0.374816i | ||||
\(923\) | −13.2318 | − | 16.5921i | −0.435530 | − | 0.546137i | ||||
\(924\) | −5.12718 | − | 2.46912i | −0.168672 | − | 0.0812280i | ||||
\(925\) | 10.0121 | + | 4.82156i | 0.329195 | + | 0.158532i | ||||
\(926\) | −7.70742 | − | 9.66480i | −0.253281 | − | 0.317605i | ||||
\(927\) | −8.56401 | + | 10.7389i | −0.281279 | + | 0.352713i | ||||
\(928\) | −5.23468 | − | 2.52089i | −0.171837 | − | 0.0827522i | ||||
\(929\) | 9.68892 | + | 42.4499i | 0.317883 | + | 1.39274i | 0.841258 | + | 0.540634i | \(0.181816\pi\) |
−0.523375 | + | 0.852103i | \(0.675327\pi\) | |||||||
\(930\) | −4.44541 | − | 19.4766i | −0.145771 | − | 0.638663i | ||||
\(931\) | −10.5494 | + | 13.2285i | −0.345742 | + | 0.433547i | ||||
\(932\) | 0.0512451 | − | 0.0246783i | 0.00167859 | − | 0.000808365i | ||||
\(933\) | 8.43032 | − | 36.9357i | 0.275996 | − | 1.20922i | ||||
\(934\) | −20.1194 | + | 9.68898i | −0.658326 | + | 0.317033i | ||||
\(935\) | −0.440446 | − | 0.552302i | −0.0144041 | − | 0.0180622i | ||||
\(936\) | 1.39560 | + | 6.11454i | 0.0456167 | + | 0.199860i | ||||
\(937\) | 10.3672 | + | 13.0001i | 0.338683 | + | 0.424695i | 0.921783 | − | 0.387705i | \(-0.126732\pi\) |
−0.583101 | + | 0.812400i | \(0.698161\pi\) | |||||||
\(938\) | 2.42066 | − | 10.6056i | 0.0790373 | − | 0.346285i | ||||
\(939\) | −5.36755 | −0.175164 | ||||||||
\(940\) | −7.46020 | −0.243325 | ||||||||
\(941\) | −0.628011 | + | 2.75150i | −0.0204726 | + | 0.0896962i | −0.984132 | − | 0.177437i | \(-0.943219\pi\) |
0.963660 | + | 0.267133i | \(0.0860765\pi\) | |||||||
\(942\) | 7.26980 | − | 9.11603i | 0.236863 | − | 0.297016i | ||||
\(943\) | −3.74343 | − | 1.80274i | −0.121903 | − | 0.0587053i | ||||
\(944\) | 0.0707274 | − | 0.0340605i | 0.00230198 | − | 0.00110858i | ||||
\(945\) | −4.47734 | −0.145648 | ||||||||
\(946\) | 3.99713 | + | 0.257313i | 0.129958 | + | 0.00836595i | ||||
\(947\) | 26.7168 | 0.868181 | 0.434090 | − | 0.900869i | \(-0.357070\pi\) | ||||
0.434090 | + | 0.900869i | \(0.357070\pi\) | |||||||
\(948\) | −28.0216 | + | 13.4945i | −0.910100 | + | 0.438281i | ||||
\(949\) | −2.33743 | − | 1.12565i | −0.0758763 | − | 0.0365401i | ||||
\(950\) | −1.64997 | + | 2.06900i | −0.0535322 | + | 0.0671273i | ||||
\(951\) | 15.5817 | − | 68.2678i | 0.505271 | − | 2.21374i | ||||
\(952\) | 4.23254 | 0.137177 | ||||||||
\(953\) | −2.14704 | −0.0695494 | −0.0347747 | − | 0.999395i | \(-0.511071\pi\) | ||||
−0.0347747 | + | 0.999395i | \(0.511071\pi\) | |||||||
\(954\) | −0.636118 | + | 2.78702i | −0.0205951 | + | 0.0902330i | ||||
\(955\) | −13.6850 | − | 17.1604i | −0.442835 | − | 0.555298i | ||||
\(956\) | 4.56739 | + | 20.0110i | 0.147720 | + | 0.647203i | ||||
\(957\) | 5.63285 | + | 7.06337i | 0.182084 | + | 0.228326i | ||||
\(958\) | −25.9217 | + | 12.4832i | −0.837491 | + | 0.403314i | ||||
\(959\) | 16.7789 | − | 73.5133i | 0.541820 | − | 2.37387i | ||||
\(960\) | 2.29359 | − | 1.10454i | 0.0740254 | − | 0.0356488i | ||||
\(961\) | 19.0688 | − | 23.9116i | 0.615124 | − | 0.771341i | ||||
\(962\) | −4.45579 | − | 19.5221i | −0.143660 | − | 0.629418i | ||||
\(963\) | −7.21787 | − | 31.6235i | −0.232592 | − | 1.01905i | ||||
\(964\) | 8.56393 | + | 4.12417i | 0.275826 | + | 0.132831i | ||||
\(965\) | −5.13060 | + | 6.43356i | −0.165160 | + | 0.207104i | ||||
\(966\) | −3.86212 | − | 4.84294i | −0.124262 | − | 0.155819i | ||||
\(967\) | −52.5654 | − | 25.3142i | −1.69039 | − | 0.814049i | −0.995482 | − | 0.0949493i | \(-0.969731\pi\) |
−0.694907 | − | 0.719099i | \(-0.744555\pi\) | |||||||
\(968\) | 9.57451 | + | 4.61084i | 0.307736 | + | 0.148198i | ||||
\(969\) | 4.85776 | + | 6.09143i | 0.156054 | + | 0.195685i | ||||
\(970\) | −6.72461 | + | 8.43239i | −0.215914 | + | 0.270748i | ||||
\(971\) | −12.3424 | − | 5.94380i | −0.396087 | − | 0.190746i | 0.225228 | − | 0.974306i | \(-0.427687\pi\) |
−0.621316 | + | 0.783560i | \(0.713402\pi\) | |||||||
\(972\) | −4.96741 | − | 21.7636i | −0.159330 | − | 0.698069i | ||||
\(973\) | −14.6269 | − | 64.0847i | −0.468917 | − | 2.05446i | ||||
\(974\) | 14.3068 | − | 17.9401i | 0.458419 | − | 0.574839i | ||||
\(975\) | −4.13291 | + | 1.99031i | −0.132359 | + | 0.0637408i | ||||
\(976\) | 2.54017 | − | 11.1292i | 0.0813087 | − | 0.356237i | ||||
\(977\) | −13.8056 | + | 6.64844i | −0.441681 | + | 0.212703i | −0.641488 | − | 0.767133i | \(-0.721683\pi\) |
0.199807 | + | 0.979835i | \(0.435968\pi\) | |||||||
\(978\) | 7.52242 | + | 9.43282i | 0.240541 | + | 0.301628i | ||||
\(979\) | −1.59514 | − | 6.98876i | −0.0509808 | − | 0.223362i | ||||
\(980\) | 3.98638 | + | 4.99877i | 0.127340 | + | 0.159680i | ||||
\(981\) | 7.84277 | − | 34.3614i | 0.250400 | − | 1.09708i | ||||
\(982\) | 23.7135 | 0.756727 | ||||||||
\(983\) | −5.76355 | −0.183829 | −0.0919144 | − | 0.995767i | \(-0.529299\pi\) | ||||
−0.0919144 | + | 0.995767i | \(0.529299\pi\) | |||||||
\(984\) | 3.53996 | − | 15.5096i | 0.112850 | − | 0.494427i | ||||
\(985\) | −11.1794 | + | 14.0185i | −0.356205 | + | 0.446667i | ||||
\(986\) | −6.05399 | − | 2.91545i | −0.192798 | − | 0.0928468i | ||||
\(987\) | −62.6206 | + | 30.1565i | −1.99323 | + | 0.959891i | ||||
\(988\) | 4.76856 | 0.151708 | ||||||||
\(989\) | 3.79847 | + | 2.14012i | 0.120784 | + | 0.0680518i | ||||
\(990\) | −2.12600 | −0.0675687 | ||||||||
\(991\) | −3.99466 | + | 1.92373i | −0.126895 | + | 0.0611092i | −0.496254 | − | 0.868177i | \(-0.665291\pi\) |
0.369359 | + | 0.929287i | \(0.379577\pi\) | |||||||
\(992\) | 7.07040 | + | 3.40492i | 0.224485 | + | 0.108106i | ||||
\(993\) | −3.52896 | + | 4.42517i | −0.111988 | + | 0.140429i | ||||
\(994\) | −9.59114 | + | 42.0215i | −0.304212 | + | 1.33284i | ||||
\(995\) | −11.0978 | −0.351823 | ||||||||
\(996\) | −25.0278 | −0.793036 | ||||||||
\(997\) | 8.13446 | − | 35.6394i | 0.257621 | − | 1.12871i | −0.666166 | − | 0.745804i | \(-0.732066\pi\) |
0.923787 | − | 0.382907i | \(-0.125077\pi\) | |||||||
\(998\) | −1.06335 | − | 1.33340i | −0.0336599 | − | 0.0422082i | ||||
\(999\) | −3.02521 | − | 13.2543i | −0.0957134 | − | 0.419348i |
(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 | 430.2.k.a.41.2 | yes | 12 | |
43.21 | even | 7 | inner | 430.2.k.a.21.2 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.a.21.2 | ✓ | 12 | 43.21 | even | 7 | inner | |
430.2.k.a.41.2 | yes | 12 | 1.1 | even | 1 | trivial |