Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 18 x^{14} - 35 x^{13} + 89 x^{12} - 185 x^{11} + 837 x^{10} - 1660 x^{9} + 4196 x^{8} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.2 | ||
Root | \(0.988623 + 0.718277i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.141 |
Dual form | 770.2.n.k.71.2 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | −0.988623 | + | 0.718277i | −0.570782 | + | 0.414697i | −0.835389 | − | 0.549659i | \(-0.814758\pi\) |
0.264607 | + | 0.964356i | \(0.414758\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.309017 | − | 0.951057i | −0.138197 | − | 0.425325i | ||||
\(6\) | 0.377620 | + | 1.16220i | 0.154163 | + | 0.474465i | ||||
\(7\) | 0.809017 | + | 0.587785i | 0.305780 | + | 0.222162i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.465597 | + | 1.43296i | −0.155199 | + | 0.477653i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | 0.912280 | − | 3.18869i | 0.275063 | − | 0.961426i | ||||
\(12\) | 1.22201 | 0.352763 | ||||||||
\(13\) | 1.07481 | − | 3.30793i | 0.298099 | − | 0.917454i | −0.684064 | − | 0.729422i | \(-0.739789\pi\) |
0.982163 | − | 0.188032i | \(-0.0602109\pi\) | |||||||
\(14\) | 0.809017 | − | 0.587785i | 0.216219 | − | 0.157092i | ||||
\(15\) | 0.988623 | + | 0.718277i | 0.255261 | + | 0.185458i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.0426835 | − | 0.131366i | −0.0103523 | − | 0.0318610i | 0.945747 | − | 0.324904i | \(-0.105332\pi\) |
−0.956099 | + | 0.293043i | \(0.905332\pi\) | |||||||
\(18\) | 1.21895 | + | 0.885617i | 0.287309 | + | 0.208742i | ||||
\(19\) | −0.416899 | + | 0.302895i | −0.0956432 | + | 0.0694889i | −0.634579 | − | 0.772858i | \(-0.718827\pi\) |
0.538936 | + | 0.842347i | \(0.318827\pi\) | |||||||
\(20\) | −0.309017 | + | 0.951057i | −0.0690983 | + | 0.212663i | ||||
\(21\) | −1.22201 | −0.266663 | ||||||||
\(22\) | −2.75071 | − | 1.85299i | −0.586454 | − | 0.395059i | ||||
\(23\) | 1.51048 | 0.314957 | 0.157479 | − | 0.987522i | \(-0.449663\pi\) | ||||
0.157479 | + | 0.987522i | \(0.449663\pi\) | |||||||
\(24\) | 0.377620 | − | 1.16220i | 0.0770815 | − | 0.237232i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −2.81389 | − | 2.04441i | −0.551850 | − | 0.400942i | ||||
\(27\) | −1.70182 | − | 5.23767i | −0.327516 | − | 1.00799i | ||||
\(28\) | −0.309017 | − | 0.951057i | −0.0583987 | − | 0.179733i | ||||
\(29\) | −7.47582 | − | 5.43150i | −1.38823 | − | 1.00860i | −0.996057 | − | 0.0887108i | \(-0.971725\pi\) |
−0.392168 | − | 0.919894i | \(-0.628275\pi\) | |||||||
\(30\) | 0.988623 | − | 0.718277i | 0.180497 | − | 0.131139i | ||||
\(31\) | 3.17133 | − | 9.76035i | 0.569588 | − | 1.75301i | −0.0843223 | − | 0.996439i | \(-0.526873\pi\) |
0.653910 | − | 0.756572i | \(-0.273127\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 1.38846 | + | 3.80768i | 0.241700 | + | 0.662833i | ||||
\(34\) | −0.138127 | −0.0236885 | ||||||||
\(35\) | 0.309017 | − | 0.951057i | 0.0522334 | − | 0.160758i | ||||
\(36\) | 1.21895 | − | 0.885617i | 0.203158 | − | 0.147603i | ||||
\(37\) | −1.34992 | − | 0.980774i | −0.221925 | − | 0.161238i | 0.471268 | − | 0.881990i | \(-0.343797\pi\) |
−0.693193 | + | 0.720752i | \(0.743797\pi\) | |||||||
\(38\) | 0.159241 | + | 0.490094i | 0.0258324 | + | 0.0795038i | ||||
\(39\) | 1.31343 | + | 4.04231i | 0.210316 | + | 0.647287i | ||||
\(40\) | 0.809017 | + | 0.587785i | 0.127917 | + | 0.0929370i | ||||
\(41\) | 9.85932 | − | 7.16322i | 1.53977 | − | 1.11871i | 0.589286 | − | 0.807925i | \(-0.299409\pi\) |
0.950481 | − | 0.310782i | \(-0.100591\pi\) | |||||||
\(42\) | −0.377620 | + | 1.16220i | −0.0582681 | + | 0.179331i | ||||
\(43\) | −10.6660 | −1.62655 | −0.813277 | − | 0.581877i | \(-0.802318\pi\) | ||||
−0.813277 | + | 0.581877i | \(0.802318\pi\) | |||||||
\(44\) | −2.61232 | + | 2.04348i | −0.393821 | + | 0.308066i | ||||
\(45\) | 1.50670 | 0.224606 | ||||||||
\(46\) | 0.466765 | − | 1.43655i | 0.0688207 | − | 0.211808i | ||||
\(47\) | 1.46183 | − | 1.06208i | 0.213230 | − | 0.154921i | −0.476044 | − | 0.879421i | \(-0.657930\pi\) |
0.689274 | + | 0.724501i | \(0.257930\pi\) | |||||||
\(48\) | −0.988623 | − | 0.718277i | −0.142695 | − | 0.103674i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | 0.136555 | + | 0.0992131i | 0.0191215 | + | 0.0138926i | ||||
\(52\) | −2.81389 | + | 2.04441i | −0.390217 | + | 0.283509i | ||||
\(53\) | 0.429858 | − | 1.32297i | 0.0590455 | − | 0.181723i | −0.917183 | − | 0.398465i | \(-0.869543\pi\) |
0.976229 | + | 0.216742i | \(0.0695430\pi\) | |||||||
\(54\) | −5.50722 | −0.749437 | ||||||||
\(55\) | −3.31453 | + | 0.117729i | −0.446932 | + | 0.0158746i | ||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 0.194594 | − | 0.598898i | 0.0257746 | − | 0.0793260i | ||||
\(58\) | −7.47582 | + | 5.43150i | −0.981623 | + | 0.713191i | ||||
\(59\) | −7.52800 | − | 5.46941i | −0.980062 | − | 0.712057i | −0.0223394 | − | 0.999750i | \(-0.507111\pi\) |
−0.957722 | + | 0.287694i | \(0.907111\pi\) | |||||||
\(60\) | −0.377620 | − | 1.16220i | −0.0487506 | − | 0.150039i | ||||
\(61\) | 4.17847 | + | 12.8600i | 0.534999 | + | 1.64656i | 0.743652 | + | 0.668567i | \(0.233092\pi\) |
−0.208653 | + | 0.977990i | \(0.566908\pi\) | |||||||
\(62\) | −8.30265 | − | 6.03223i | −1.05444 | − | 0.766094i | ||||
\(63\) | −1.21895 | + | 0.885617i | −0.153573 | + | 0.111577i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −3.47816 | −0.431413 | ||||||||
\(66\) | 4.05038 | − | 0.143866i | 0.498567 | − | 0.0177086i | ||||
\(67\) | −1.84979 | −0.225988 | −0.112994 | − | 0.993596i | \(-0.536044\pi\) | ||||
−0.112994 | + | 0.993596i | \(0.536044\pi\) | |||||||
\(68\) | −0.0426835 | + | 0.131366i | −0.00517613 | + | 0.0159305i | ||||
\(69\) | −1.49330 | + | 1.08494i | −0.179772 | + | 0.130612i | ||||
\(70\) | −0.809017 | − | 0.587785i | −0.0966960 | − | 0.0702538i | ||||
\(71\) | −1.97528 | − | 6.07928i | −0.234422 | − | 0.721478i | −0.997198 | − | 0.0748139i | \(-0.976164\pi\) |
0.762775 | − | 0.646664i | \(-0.223836\pi\) | |||||||
\(72\) | −0.465597 | − | 1.43296i | −0.0548711 | − | 0.168876i | ||||
\(73\) | 8.95170 | + | 6.50379i | 1.04772 | + | 0.761211i | 0.971777 | − | 0.235901i | \(-0.0758042\pi\) |
0.0759402 | + | 0.997112i | \(0.475804\pi\) | |||||||
\(74\) | −1.34992 | + | 0.980774i | −0.156925 | + | 0.114013i | ||||
\(75\) | 0.377620 | − | 1.16220i | 0.0436039 | − | 0.134199i | ||||
\(76\) | 0.515316 | 0.0591108 | ||||||||
\(77\) | 2.61232 | − | 2.04348i | 0.297701 | − | 0.232876i | ||||
\(78\) | 4.25033 | 0.481256 | ||||||||
\(79\) | 3.08608 | − | 9.49797i | 0.347211 | − | 1.06861i | −0.613179 | − | 0.789944i | \(-0.710109\pi\) |
0.960390 | − | 0.278661i | \(-0.0898906\pi\) | |||||||
\(80\) | 0.809017 | − | 0.587785i | 0.0904508 | − | 0.0657164i | ||||
\(81\) | 1.78772 | + | 1.29885i | 0.198635 | + | 0.144317i | ||||
\(82\) | −3.76593 | − | 11.5903i | −0.415877 | − | 1.27994i | ||||
\(83\) | 0.681184 | + | 2.09647i | 0.0747696 | + | 0.230117i | 0.981456 | − | 0.191689i | \(-0.0613964\pi\) |
−0.906686 | + | 0.421806i | \(0.861396\pi\) | |||||||
\(84\) | 0.988623 | + | 0.718277i | 0.107868 | + | 0.0783704i | ||||
\(85\) | −0.111747 | + | 0.0811888i | −0.0121206 | + | 0.00880616i | ||||
\(86\) | −3.29598 | + | 10.1440i | −0.355415 | + | 1.09385i | ||||
\(87\) | 11.2921 | 1.21064 | ||||||||
\(88\) | 1.13621 | + | 3.11593i | 0.121121 | + | 0.332159i | ||||
\(89\) | 1.74164 | 0.184614 | 0.0923069 | − | 0.995731i | \(-0.470576\pi\) | ||||
0.0923069 | + | 0.995731i | \(0.470576\pi\) | |||||||
\(90\) | 0.465597 | − | 1.43296i | 0.0490782 | − | 0.151047i | ||||
\(91\) | 2.81389 | − | 2.04441i | 0.294976 | − | 0.214313i | ||||
\(92\) | −1.22201 | − | 0.887839i | −0.127403 | − | 0.0925636i | ||||
\(93\) | 3.87538 | + | 11.9272i | 0.401859 | + | 1.23679i | ||||
\(94\) | −0.558370 | − | 1.71848i | −0.0575914 | − | 0.177248i | ||||
\(95\) | 0.416899 | + | 0.302895i | 0.0427730 | + | 0.0310764i | ||||
\(96\) | −0.988623 | + | 0.718277i | −0.100901 | + | 0.0733088i | ||||
\(97\) | −1.36299 | + | 4.19486i | −0.138391 | + | 0.425924i | −0.996102 | − | 0.0882084i | \(-0.971886\pi\) |
0.857711 | + | 0.514132i | \(0.171886\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 4.14451 | + | 2.79190i | 0.416539 | + | 0.280597i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 3.88783 | − | 11.9655i | 0.386853 | − | 1.19061i | −0.548274 | − | 0.836299i | \(-0.684715\pi\) |
0.935127 | − | 0.354313i | \(-0.115285\pi\) | |||||||
\(102\) | 0.136555 | − | 0.0992131i | 0.0135210 | − | 0.00982356i | ||||
\(103\) | 2.41468 | + | 1.75437i | 0.237925 | + | 0.172863i | 0.700358 | − | 0.713791i | \(-0.253024\pi\) |
−0.462433 | + | 0.886654i | \(0.653024\pi\) | |||||||
\(104\) | 1.07481 | + | 3.30793i | 0.105394 | + | 0.324369i | ||||
\(105\) | 0.377620 | + | 1.16220i | 0.0368520 | + | 0.113419i | ||||
\(106\) | −1.12538 | − | 0.817638i | −0.109307 | − | 0.0794160i | ||||
\(107\) | −10.7419 | + | 7.80442i | −1.03845 | + | 0.754481i | −0.969983 | − | 0.243172i | \(-0.921812\pi\) |
−0.0684712 | + | 0.997653i | \(0.521812\pi\) | |||||||
\(108\) | −1.70182 | + | 5.23767i | −0.163758 | + | 0.503995i | ||||
\(109\) | 0.502741 | 0.0481539 | 0.0240769 | − | 0.999710i | \(-0.492335\pi\) | ||||
0.0240769 | + | 0.999710i | \(0.492335\pi\) | |||||||
\(110\) | −0.912280 | + | 3.18869i | −0.0869825 | + | 0.304030i | ||||
\(111\) | 2.03903 | 0.193536 | ||||||||
\(112\) | −0.309017 | + | 0.951057i | −0.0291994 | + | 0.0898664i | ||||
\(113\) | 7.20993 | − | 5.23832i | 0.678253 | − | 0.492780i | −0.194525 | − | 0.980898i | \(-0.562316\pi\) |
0.872778 | + | 0.488118i | \(0.162316\pi\) | |||||||
\(114\) | −0.509453 | − | 0.370139i | −0.0477147 | − | 0.0346667i | ||||
\(115\) | −0.466765 | − | 1.43655i | −0.0435260 | − | 0.133959i | ||||
\(116\) | 2.85551 | + | 8.78835i | 0.265127 | + | 0.815978i | ||||
\(117\) | 4.23970 | + | 3.08032i | 0.391960 | + | 0.284776i | ||||
\(118\) | −7.52800 | + | 5.46941i | −0.693008 | + | 0.503500i | ||||
\(119\) | 0.0426835 | − | 0.131366i | 0.00391279 | − | 0.0120423i | ||||
\(120\) | −1.22201 | −0.111553 | ||||||||
\(121\) | −9.33549 | − | 5.81796i | −0.848681 | − | 0.528905i | ||||
\(122\) | 13.5218 | 1.22421 | ||||||||
\(123\) | −4.60198 | + | 14.1634i | −0.414947 | + | 1.27707i | ||||
\(124\) | −8.30265 | + | 6.03223i | −0.745600 | + | 0.541710i | ||||
\(125\) | 0.809017 | + | 0.587785i | 0.0723607 | + | 0.0525731i | ||||
\(126\) | 0.465597 | + | 1.43296i | 0.0414786 | + | 0.127658i | ||||
\(127\) | 3.91610 | + | 12.0525i | 0.347497 | + | 1.06949i | 0.960233 | + | 0.279199i | \(0.0900689\pi\) |
−0.612736 | + | 0.790288i | \(0.709931\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 10.5447 | − | 7.66116i | 0.928407 | − | 0.674527i | ||||
\(130\) | −1.07481 | + | 3.30793i | −0.0942672 | + | 0.290125i | ||||
\(131\) | 15.1497 | 1.32364 | 0.661818 | − | 0.749664i | \(-0.269785\pi\) | ||||
0.661818 | + | 0.749664i | \(0.269785\pi\) | |||||||
\(132\) | 1.11481 | − | 3.89660i | 0.0970319 | − | 0.339155i | ||||
\(133\) | −0.515316 | −0.0446835 | ||||||||
\(134\) | −0.571617 | + | 1.75925i | −0.0493802 | + | 0.151976i | ||||
\(135\) | −4.45543 | + | 3.23706i | −0.383462 | + | 0.278602i | ||||
\(136\) | 0.111747 | + | 0.0811888i | 0.00958220 | + | 0.00696188i | ||||
\(137\) | 6.76301 | + | 20.8144i | 0.577803 | + | 1.77829i | 0.626431 | + | 0.779477i | \(0.284515\pi\) |
−0.0486282 | + | 0.998817i | \(0.515485\pi\) | |||||||
\(138\) | 0.570389 | + | 1.75548i | 0.0485547 | + | 0.149436i | ||||
\(139\) | −2.00127 | − | 1.45400i | −0.169745 | − | 0.123327i | 0.499669 | − | 0.866216i | \(-0.333455\pi\) |
−0.669414 | + | 0.742889i | \(0.733455\pi\) | |||||||
\(140\) | −0.809017 | + | 0.587785i | −0.0683744 | + | 0.0496769i | ||||
\(141\) | −0.682331 | + | 2.10000i | −0.0574626 | + | 0.176852i | ||||
\(142\) | −6.39213 | −0.536416 | ||||||||
\(143\) | −9.56743 | − | 6.44500i | −0.800069 | − | 0.538958i | ||||
\(144\) | −1.50670 | −0.125559 | ||||||||
\(145\) | −2.85551 | + | 8.78835i | −0.237137 | + | 0.729833i | ||||
\(146\) | 8.95170 | − | 6.50379i | 0.740848 | − | 0.538258i | ||||
\(147\) | −0.988623 | − | 0.718277i | −0.0815403 | − | 0.0592425i | ||||
\(148\) | 0.515623 | + | 1.58693i | 0.0423840 | + | 0.130444i | ||||
\(149\) | 5.28536 | + | 16.2667i | 0.432993 | + | 1.33262i | 0.895129 | + | 0.445807i | \(0.147083\pi\) |
−0.462136 | + | 0.886809i | \(0.652917\pi\) | |||||||
\(150\) | −0.988623 | − | 0.718277i | −0.0807208 | − | 0.0586471i | ||||
\(151\) | −2.59914 | + | 1.88839i | −0.211515 | + | 0.153675i | −0.688499 | − | 0.725237i | \(-0.741730\pi\) |
0.476984 | + | 0.878912i | \(0.341730\pi\) | |||||||
\(152\) | 0.159241 | − | 0.490094i | 0.0129162 | − | 0.0397519i | ||||
\(153\) | 0.208116 | 0.0168252 | ||||||||
\(154\) | −1.13621 | − | 3.11593i | −0.0915588 | − | 0.251089i | ||||
\(155\) | −10.2626 | −0.824315 | ||||||||
\(156\) | 1.31343 | − | 4.04231i | 0.105158 | − | 0.323644i | ||||
\(157\) | −2.22337 | + | 1.61537i | −0.177444 | + | 0.128921i | −0.672962 | − | 0.739677i | \(-0.734978\pi\) |
0.495518 | + | 0.868598i | \(0.334978\pi\) | |||||||
\(158\) | −8.07946 | − | 5.87007i | −0.642767 | − | 0.466998i | ||||
\(159\) | 0.525288 | + | 1.61667i | 0.0416581 | + | 0.128210i | ||||
\(160\) | −0.309017 | − | 0.951057i | −0.0244299 | − | 0.0751876i | ||||
\(161\) | 1.22201 | + | 0.887839i | 0.0963075 | + | 0.0699715i | ||||
\(162\) | 1.78772 | − | 1.29885i | 0.140456 | − | 0.102048i | ||||
\(163\) | −3.86892 | + | 11.9073i | −0.303037 | + | 0.932653i | 0.677365 | + | 0.735647i | \(0.263122\pi\) |
−0.980402 | + | 0.197006i | \(0.936878\pi\) | |||||||
\(164\) | −12.1868 | −0.951628 | ||||||||
\(165\) | 3.19226 | − | 2.49714i | 0.248517 | − | 0.194402i | ||||
\(166\) | 2.20436 | 0.171091 | ||||||||
\(167\) | 5.26365 | − | 16.1998i | 0.407313 | − | 1.25358i | −0.511635 | − | 0.859203i | \(-0.670960\pi\) |
0.918948 | − | 0.394378i | \(-0.129040\pi\) | |||||||
\(168\) | 0.988623 | − | 0.718277i | 0.0762739 | − | 0.0554163i | ||||
\(169\) | 0.730047 | + | 0.530410i | 0.0561575 | + | 0.0408008i | ||||
\(170\) | 0.0426835 | + | 0.131366i | 0.00327367 | + | 0.0100753i | ||||
\(171\) | −0.239929 | − | 0.738426i | −0.0183478 | − | 0.0564689i | ||||
\(172\) | 8.62900 | + | 6.26933i | 0.657955 | + | 0.478032i | ||||
\(173\) | −7.59346 | + | 5.51697i | −0.577320 | + | 0.419448i | −0.837757 | − | 0.546043i | \(-0.816133\pi\) |
0.260437 | + | 0.965491i | \(0.416133\pi\) | |||||||
\(174\) | 3.48945 | − | 10.7394i | 0.264534 | − | 0.814153i | ||||
\(175\) | −1.00000 | −0.0755929 | ||||||||
\(176\) | 3.31453 | − | 0.117729i | 0.249842 | − | 0.00887417i | ||||
\(177\) | 11.3709 | 0.854690 | ||||||||
\(178\) | 0.538197 | − | 1.65640i | 0.0403396 | − | 0.124153i | ||||
\(179\) | 8.99896 | − | 6.53813i | 0.672614 | − | 0.488683i | −0.198285 | − | 0.980144i | \(-0.563537\pi\) |
0.870899 | + | 0.491462i | \(0.163537\pi\) | |||||||
\(180\) | −1.21895 | − | 0.885617i | −0.0908550 | − | 0.0660100i | ||||
\(181\) | 2.95929 | + | 9.10776i | 0.219962 | + | 0.676974i | 0.998764 | + | 0.0497041i | \(0.0158278\pi\) |
−0.778802 | + | 0.627270i | \(0.784172\pi\) | |||||||
\(182\) | −1.07481 | − | 3.30793i | −0.0796703 | − | 0.245200i | ||||
\(183\) | −13.3680 | − | 9.71241i | −0.988190 | − | 0.717962i | ||||
\(184\) | −1.22201 | + | 0.887839i | −0.0900874 | + | 0.0654524i | ||||
\(185\) | −0.515623 | + | 1.58693i | −0.0379094 | + | 0.116673i | ||||
\(186\) | 12.5410 | 0.919551 | ||||||||
\(187\) | −0.457825 | + | 0.0162615i | −0.0334795 | + | 0.00118916i | ||||
\(188\) | −1.80692 | −0.131783 | ||||||||
\(189\) | 1.70182 | − | 5.23767i | 0.123789 | − | 0.380985i | ||||
\(190\) | 0.416899 | − | 0.302895i | 0.0302450 | − | 0.0219743i | ||||
\(191\) | −7.92756 | − | 5.75971i | −0.573618 | − | 0.416758i | 0.262800 | − | 0.964850i | \(-0.415354\pi\) |
−0.836418 | + | 0.548093i | \(0.815354\pi\) | |||||||
\(192\) | 0.377620 | + | 1.16220i | 0.0272524 | + | 0.0838743i | ||||
\(193\) | 4.46568 | + | 13.7439i | 0.321446 | + | 0.989310i | 0.973019 | + | 0.230724i | \(0.0741095\pi\) |
−0.651573 | + | 0.758586i | \(0.725891\pi\) | |||||||
\(194\) | 3.56836 | + | 2.59257i | 0.256193 | + | 0.186135i | ||||
\(195\) | 3.43859 | − | 2.49828i | 0.246243 | − | 0.178906i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | 22.6950 | 1.61695 | 0.808476 | − | 0.588530i | \(-0.200293\pi\) | ||||
0.808476 | + | 0.588530i | \(0.200293\pi\) | |||||||
\(198\) | 3.93598 | − | 3.07892i | 0.279718 | − | 0.218809i | ||||
\(199\) | 9.43893 | 0.669108 | 0.334554 | − | 0.942377i | \(-0.391414\pi\) | ||||
0.334554 | + | 0.942377i | \(0.391414\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | 1.82875 | − | 1.32866i | 0.128990 | − | 0.0937166i | ||||
\(202\) | −10.1785 | − | 7.39509i | −0.716154 | − | 0.520316i | ||||
\(203\) | −2.85551 | − | 8.78835i | −0.200417 | − | 0.616822i | ||||
\(204\) | −0.0521594 | − | 0.160530i | −0.00365189 | − | 0.0112394i | ||||
\(205\) | −9.85932 | − | 7.16322i | −0.688605 | − | 0.500301i | ||||
\(206\) | 2.41468 | − | 1.75437i | 0.168239 | − | 0.122232i | ||||
\(207\) | −0.703275 | + | 2.16446i | −0.0488810 | + | 0.150440i | ||||
\(208\) | 3.47816 | 0.241167 | ||||||||
\(209\) | 0.585509 | + | 1.60569i | 0.0405005 | + | 0.111068i | ||||
\(210\) | 1.22201 | 0.0843264 | ||||||||
\(211\) | 3.44553 | − | 10.6042i | 0.237200 | − | 0.730026i | −0.759622 | − | 0.650365i | \(-0.774616\pi\) |
0.996822 | − | 0.0796614i | \(-0.0253839\pi\) | |||||||
\(212\) | −1.12538 | + | 0.817638i | −0.0772915 | + | 0.0561556i | ||||
\(213\) | 6.31941 | + | 4.59132i | 0.432999 | + | 0.314592i | ||||
\(214\) | 4.10302 | + | 12.6278i | 0.280477 | + | 0.863219i | ||||
\(215\) | 3.29598 | + | 10.1440i | 0.224784 | + | 0.691815i | ||||
\(216\) | 4.45543 | + | 3.23706i | 0.303154 | + | 0.220254i | ||||
\(217\) | 8.30265 | − | 6.03223i | 0.563621 | − | 0.409494i | ||||
\(218\) | 0.155356 | − | 0.478135i | 0.0105220 | − | 0.0323834i | ||||
\(219\) | −13.5214 | −0.913690 | ||||||||
\(220\) | 2.75071 | + | 1.85299i | 0.185453 | + | 0.124929i | ||||
\(221\) | −0.480427 | −0.0323170 | ||||||||
\(222\) | 0.630095 | − | 1.93923i | 0.0422892 | − | 0.130153i | ||||
\(223\) | 3.21827 | − | 2.33821i | 0.215511 | − | 0.156578i | −0.474792 | − | 0.880098i | \(-0.657477\pi\) |
0.690304 | + | 0.723520i | \(0.257477\pi\) | |||||||
\(224\) | 0.809017 | + | 0.587785i | 0.0540547 | + | 0.0392731i | ||||
\(225\) | −0.465597 | − | 1.43296i | −0.0310398 | − | 0.0955306i | ||||
\(226\) | −2.75395 | − | 8.47578i | −0.183190 | − | 0.563800i | ||||
\(227\) | −17.5838 | − | 12.7754i | −1.16708 | − | 0.847930i | −0.176419 | − | 0.984315i | \(-0.556452\pi\) |
−0.990656 | + | 0.136385i | \(0.956452\pi\) | |||||||
\(228\) | −0.509453 | + | 0.370139i | −0.0337394 | + | 0.0245131i | ||||
\(229\) | 0.508698 | − | 1.56561i | 0.0336157 | − | 0.103458i | −0.932841 | − | 0.360289i | \(-0.882678\pi\) |
0.966457 | + | 0.256830i | \(0.0826782\pi\) | |||||||
\(230\) | −1.51048 | −0.0995982 | ||||||||
\(231\) | −1.11481 | + | 3.89660i | −0.0733492 | + | 0.256377i | ||||
\(232\) | 9.24062 | 0.606677 | ||||||||
\(233\) | −0.345016 | + | 1.06185i | −0.0226028 | + | 0.0695642i | −0.961722 | − | 0.274028i | \(-0.911644\pi\) |
0.939119 | + | 0.343592i | \(0.111644\pi\) | |||||||
\(234\) | 4.23970 | − | 3.08032i | 0.277158 | − | 0.201367i | ||||
\(235\) | −1.46183 | − | 1.06208i | −0.0953593 | − | 0.0692826i | ||||
\(236\) | 2.87544 | + | 8.84969i | 0.187175 | + | 0.576066i | ||||
\(237\) | 3.77120 | + | 11.6066i | 0.244966 | + | 0.753928i | ||||
\(238\) | −0.111747 | − | 0.0811888i | −0.00724347 | − | 0.00526269i | ||||
\(239\) | −14.0055 | + | 10.1756i | −0.905941 | + | 0.658205i | −0.939985 | − | 0.341215i | \(-0.889161\pi\) |
0.0340437 | + | 0.999420i | \(0.489161\pi\) | |||||||
\(240\) | −0.377620 | + | 1.16220i | −0.0243753 | + | 0.0750195i | ||||
\(241\) | −23.7524 | −1.53003 | −0.765015 | − | 0.644013i | \(-0.777268\pi\) | ||||
−0.765015 | + | 0.644013i | \(0.777268\pi\) | |||||||
\(242\) | −8.41803 | + | 7.08073i | −0.541132 | + | 0.455167i | ||||
\(243\) | 13.8213 | 0.886639 | ||||||||
\(244\) | 4.17847 | − | 12.8600i | 0.267499 | − | 0.823278i | ||||
\(245\) | 0.809017 | − | 0.587785i | 0.0516862 | − | 0.0375522i | ||||
\(246\) | 12.0481 | + | 8.75349i | 0.768162 | + | 0.558102i | ||||
\(247\) | 0.553867 | + | 1.70463i | 0.0352417 | + | 0.108463i | ||||
\(248\) | 3.17133 | + | 9.76035i | 0.201380 | + | 0.619783i | ||||
\(249\) | −2.17928 | − | 1.58334i | −0.138106 | − | 0.100340i | ||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | 3.74700 | − | 11.5321i | 0.236508 | − | 0.727898i | −0.760409 | − | 0.649444i | \(-0.775002\pi\) |
0.996918 | − | 0.0784540i | \(-0.0249984\pi\) | |||||||
\(252\) | 1.50670 | 0.0949133 | ||||||||
\(253\) | 1.37798 | − | 4.81646i | 0.0866331 | − | 0.302808i | ||||
\(254\) | 12.6728 | 0.795159 | ||||||||
\(255\) | 0.0521594 | − | 0.160530i | 0.00326635 | − | 0.0100528i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 23.1455 | + | 16.8162i | 1.44378 | + | 1.04897i | 0.987236 | + | 0.159264i | \(0.0509122\pi\) |
0.456542 | + | 0.889702i | \(0.349088\pi\) | |||||||
\(258\) | −4.02771 | − | 12.3960i | −0.250754 | − | 0.771742i | ||||
\(259\) | −0.515623 | − | 1.58693i | −0.0320393 | − | 0.0986068i | ||||
\(260\) | 2.81389 | + | 2.04441i | 0.174510 | + | 0.126789i | ||||
\(261\) | 11.2638 | − | 8.18366i | 0.697214 | − | 0.506556i | ||||
\(262\) | 4.68152 | − | 14.4082i | 0.289225 | − | 0.890144i | ||||
\(263\) | −30.4738 | −1.87910 | −0.939549 | − | 0.342415i | \(-0.888755\pi\) | ||||
−0.939549 | + | 0.342415i | \(0.888755\pi\) | |||||||
\(264\) | −3.36139 | − | 2.26436i | −0.206879 | − | 0.139362i | ||||
\(265\) | −1.39105 | −0.0854514 | ||||||||
\(266\) | −0.159241 | + | 0.490094i | −0.00976371 | + | 0.0300496i | ||||
\(267\) | −1.72183 | + | 1.25098i | −0.105374 | + | 0.0765589i | ||||
\(268\) | 1.49651 | + | 1.08728i | 0.0914140 | + | 0.0664162i | ||||
\(269\) | −9.59452 | − | 29.5289i | −0.584988 | − | 1.80041i | −0.599317 | − | 0.800512i | \(-0.704561\pi\) |
0.0143286 | − | 0.999897i | \(-0.495439\pi\) | |||||||
\(270\) | 1.70182 | + | 5.23767i | 0.103570 | + | 0.318755i | ||||
\(271\) | −6.88439 | − | 5.00180i | −0.418197 | − | 0.303838i | 0.358715 | − | 0.933447i | \(-0.383215\pi\) |
−0.776912 | + | 0.629609i | \(0.783215\pi\) | |||||||
\(272\) | 0.111747 | − | 0.0811888i | 0.00677564 | − | 0.00492279i | ||||
\(273\) | −1.31343 | + | 4.04231i | −0.0794921 | + | 0.244652i | ||||
\(274\) | 21.8856 | 1.32215 | ||||||||
\(275\) | 1.13621 | + | 3.11593i | 0.0685163 | + | 0.187898i | ||||
\(276\) | 1.84582 | 0.111105 | ||||||||
\(277\) | −4.52383 | + | 13.9229i | −0.271811 | + | 0.836548i | 0.718235 | + | 0.695801i | \(0.244950\pi\) |
−0.990046 | + | 0.140747i | \(0.955050\pi\) | |||||||
\(278\) | −2.00127 | + | 1.45400i | −0.120028 | + | 0.0872054i | ||||
\(279\) | 12.5096 | + | 9.08877i | 0.748932 | + | 0.544131i | ||||
\(280\) | 0.309017 | + | 0.951057i | 0.0184673 | + | 0.0568365i | ||||
\(281\) | −2.75597 | − | 8.48200i | −0.164407 | − | 0.505994i | 0.834585 | − | 0.550880i | \(-0.185708\pi\) |
−0.998992 | + | 0.0448856i | \(0.985708\pi\) | |||||||
\(282\) | 1.78637 | + | 1.29787i | 0.106376 | + | 0.0772870i | ||||
\(283\) | −15.9508 | + | 11.5889i | −0.948176 | + | 0.688890i | −0.950375 | − | 0.311107i | \(-0.899300\pi\) |
0.00219879 | + | 0.999998i | \(0.499300\pi\) | |||||||
\(284\) | −1.97528 | + | 6.07928i | −0.117211 | + | 0.360739i | ||||
\(285\) | −0.629719 | −0.0373013 | ||||||||
\(286\) | −9.08606 | + | 7.10755i | −0.537270 | + | 0.420278i | ||||
\(287\) | 12.1868 | 0.719363 | ||||||||
\(288\) | −0.465597 | + | 1.43296i | −0.0274355 | + | 0.0844379i | ||||
\(289\) | 13.7379 | − | 9.98113i | 0.808109 | − | 0.587126i | ||||
\(290\) | 7.47582 | + | 5.43150i | 0.438995 | + | 0.318949i | ||||
\(291\) | −1.66559 | − | 5.12614i | −0.0976383 | − | 0.300500i | ||||
\(292\) | −3.41925 | − | 10.5234i | −0.200096 | − | 0.615833i | ||||
\(293\) | −5.60545 | − | 4.07260i | −0.327474 | − | 0.237924i | 0.411884 | − | 0.911236i | \(-0.364871\pi\) |
−0.739358 | + | 0.673313i | \(0.764871\pi\) | |||||||
\(294\) | −0.988623 | + | 0.718277i | −0.0576577 | + | 0.0418908i | ||||
\(295\) | −2.87544 | + | 8.84969i | −0.167415 | + | 0.515249i | ||||
\(296\) | 1.66859 | 0.0969850 | ||||||||
\(297\) | −18.2539 | + | 0.648360i | −1.05920 | + | 0.0376217i | ||||
\(298\) | 17.1038 | 0.990795 | ||||||||
\(299\) | 1.62348 | − | 4.99657i | 0.0938884 | − | 0.288959i | ||||
\(300\) | −0.988623 | + | 0.718277i | −0.0570782 | + | 0.0414697i | ||||
\(301\) | −8.62900 | − | 6.26933i | −0.497367 | − | 0.361358i | ||||
\(302\) | 0.992784 | + | 3.05548i | 0.0571283 | + | 0.175823i | ||||
\(303\) | 4.75095 | + | 14.6219i | 0.272935 | + | 0.840007i | ||||
\(304\) | −0.416899 | − | 0.302895i | −0.0239108 | − | 0.0173722i | ||||
\(305\) | 10.9394 | − | 7.94793i | 0.626387 | − | 0.455097i | ||||
\(306\) | 0.0643113 | − | 0.197930i | 0.00367643 | − | 0.0113149i | ||||
\(307\) | −20.6340 | −1.17764 | −0.588821 | − | 0.808263i | \(-0.700408\pi\) | ||||
−0.588821 | + | 0.808263i | \(0.700408\pi\) | |||||||
\(308\) | −3.31453 | + | 0.117729i | −0.188863 | + | 0.00670824i | ||||
\(309\) | −3.64733 | −0.207489 | ||||||||
\(310\) | −3.17133 | + | 9.76035i | −0.180119 | + | 0.554351i | ||||
\(311\) | 16.3712 | − | 11.8944i | 0.928327 | − | 0.674469i | −0.0172555 | − | 0.999851i | \(-0.505493\pi\) |
0.945583 | + | 0.325382i | \(0.105493\pi\) | |||||||
\(312\) | −3.43859 | − | 2.49828i | −0.194672 | − | 0.141437i | ||||
\(313\) | −1.36210 | − | 4.19211i | −0.0769903 | − | 0.236952i | 0.905153 | − | 0.425086i | \(-0.139756\pi\) |
−0.982143 | + | 0.188134i | \(0.939756\pi\) | |||||||
\(314\) | 0.849253 | + | 2.61373i | 0.0479261 | + | 0.147501i | ||||
\(315\) | 1.21895 | + | 0.885617i | 0.0686799 | + | 0.0498989i | ||||
\(316\) | −8.07946 | + | 5.87007i | −0.454505 | + | 0.330217i | ||||
\(317\) | 8.03387 | − | 24.7257i | 0.451227 | − | 1.38873i | −0.424281 | − | 0.905531i | \(-0.639473\pi\) |
0.875508 | − | 0.483204i | \(-0.160527\pi\) | |||||||
\(318\) | 1.69987 | 0.0953239 | ||||||||
\(319\) | −24.1394 | + | 18.8830i | −1.35155 | + | 1.05725i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 5.01392 | − | 15.4313i | 0.279850 | − | 0.861289i | ||||
\(322\) | 1.22201 | − | 0.887839i | 0.0680997 | − | 0.0494773i | ||||
\(323\) | 0.0575848 | + | 0.0418378i | 0.00320411 | + | 0.00232792i | ||||
\(324\) | −0.682848 | − | 2.10159i | −0.0379360 | − | 0.116755i | ||||
\(325\) | 1.07481 | + | 3.30793i | 0.0596198 | + | 0.183491i | ||||
\(326\) | 10.1290 | + | 7.35913i | 0.560992 | + | 0.407584i | ||||
\(327\) | −0.497022 | + | 0.361107i | −0.0274854 | + | 0.0199693i | ||||
\(328\) | −3.76593 | + | 11.5903i | −0.207938 | + | 0.639969i | ||||
\(329\) | 1.80692 | 0.0996188 | ||||||||
\(330\) | −1.38846 | − | 3.80768i | −0.0764322 | − | 0.209606i | ||||
\(331\) | −19.8219 | −1.08951 | −0.544755 | − | 0.838595i | \(-0.683377\pi\) | ||||
−0.544755 | + | 0.838595i | \(0.683377\pi\) | |||||||
\(332\) | 0.681184 | − | 2.09647i | 0.0373848 | − | 0.115059i | ||||
\(333\) | 2.03393 | − | 1.47773i | 0.111459 | − | 0.0809793i | ||||
\(334\) | −13.7804 | − | 10.0121i | −0.754030 | − | 0.547835i | ||||
\(335\) | 0.571617 | + | 1.75925i | 0.0312308 | + | 0.0961184i | ||||
\(336\) | −0.377620 | − | 1.16220i | −0.0206009 | − | 0.0634030i | ||||
\(337\) | −24.5812 | − | 17.8593i | −1.33902 | − | 0.972856i | −0.999479 | − | 0.0322645i | \(-0.989728\pi\) |
−0.339541 | − | 0.940591i | \(-0.610272\pi\) | |||||||
\(338\) | 0.730047 | − | 0.530410i | 0.0397093 | − | 0.0288505i | ||||
\(339\) | −3.36534 | + | 10.3574i | −0.182780 | + | 0.562539i | ||||
\(340\) | 0.138127 | 0.00749096 | ||||||||
\(341\) | −28.2296 | − | 19.0166i | −1.52872 | − | 1.02980i | ||||
\(342\) | −0.776427 | −0.0419844 | ||||||||
\(343\) | −0.309017 | + | 0.951057i | −0.0166853 | + | 0.0513522i | ||||
\(344\) | 8.62900 | − | 6.26933i | 0.465244 | − | 0.338020i | ||||
\(345\) | 1.49330 | + | 1.08494i | 0.0803964 | + | 0.0584114i | ||||
\(346\) | 2.90044 | + | 8.92665i | 0.155929 | + | 0.479900i | ||||
\(347\) | −5.14650 | − | 15.8393i | −0.276279 | − | 0.850299i | −0.988878 | − | 0.148727i | \(-0.952482\pi\) |
0.712599 | − | 0.701571i | \(-0.247518\pi\) | |||||||
\(348\) | −9.13549 | − | 6.63733i | −0.489714 | − | 0.355798i | ||||
\(349\) | 1.37845 | − | 1.00151i | 0.0737869 | − | 0.0536094i | −0.550280 | − | 0.834980i | \(-0.685479\pi\) |
0.624067 | + | 0.781371i | \(0.285479\pi\) | |||||||
\(350\) | −0.309017 | + | 0.951057i | −0.0165177 | + | 0.0508361i | ||||
\(351\) | −19.1550 | −1.02242 | ||||||||
\(352\) | 0.912280 | − | 3.18869i | 0.0486247 | − | 0.169958i | ||||
\(353\) | 10.7417 | 0.571724 | 0.285862 | − | 0.958271i | \(-0.407720\pi\) | ||||
0.285862 | + | 0.958271i | \(0.407720\pi\) | |||||||
\(354\) | 3.51380 | − | 10.8144i | 0.186757 | − | 0.574777i | ||||
\(355\) | −5.17134 | + | 3.75720i | −0.274466 | + | 0.199412i | ||||
\(356\) | −1.40902 | − | 1.02371i | −0.0746779 | − | 0.0542567i | ||||
\(357\) | 0.0521594 | + | 0.160530i | 0.00276057 | + | 0.00849616i | ||||
\(358\) | −3.43730 | − | 10.5789i | −0.181667 | − | 0.559113i | ||||
\(359\) | 13.1711 | + | 9.56937i | 0.695145 | + | 0.505052i | 0.878347 | − | 0.478023i | \(-0.158646\pi\) |
−0.183203 | + | 0.983075i | \(0.558646\pi\) | |||||||
\(360\) | −1.21895 | + | 0.885617i | −0.0642442 | + | 0.0466761i | ||||
\(361\) | −5.78926 | + | 17.8175i | −0.304698 | + | 0.937764i | ||||
\(362\) | 9.57646 | 0.503328 | ||||||||
\(363\) | 13.4082 | − | 0.953696i | 0.703747 | − | 0.0500561i | ||||
\(364\) | −3.47816 | −0.182305 | ||||||||
\(365\) | 3.41925 | − | 10.5234i | 0.178971 | − | 0.550818i | ||||
\(366\) | −13.3680 | + | 9.71241i | −0.698756 | + | 0.507676i | ||||
\(367\) | 17.0660 | + | 12.3992i | 0.890838 | + | 0.647231i | 0.936096 | − | 0.351744i | \(-0.114411\pi\) |
−0.0452587 | + | 0.998975i | \(0.514411\pi\) | |||||||
\(368\) | 0.466765 | + | 1.43655i | 0.0243318 | + | 0.0748855i | ||||
\(369\) | 5.67413 | + | 17.4632i | 0.295383 | + | 0.909096i | ||||
\(370\) | 1.34992 | + | 0.980774i | 0.0701790 | + | 0.0509880i | ||||
\(371\) | 1.12538 | − | 0.817638i | 0.0584269 | − | 0.0424496i | ||||
\(372\) | 3.87538 | − | 11.9272i | 0.200929 | − | 0.618397i | ||||
\(373\) | −13.9335 | −0.721449 | −0.360725 | − | 0.932672i | \(-0.617471\pi\) | ||||
−0.360725 | + | 0.932672i | \(0.617471\pi\) | |||||||
\(374\) | −0.126010 | + | 0.440443i | −0.00651583 | + | 0.0227748i | ||||
\(375\) | −1.22201 | −0.0631041 | ||||||||
\(376\) | −0.558370 | + | 1.71848i | −0.0287957 | + | 0.0886241i | ||||
\(377\) | −26.0021 | + | 18.8916i | −1.33918 | + | 0.972969i | ||||
\(378\) | −4.45543 | − | 3.23706i | −0.229163 | − | 0.166496i | ||||
\(379\) | 6.84321 | + | 21.0612i | 0.351512 | + | 1.08184i | 0.958004 | + | 0.286754i | \(0.0925761\pi\) |
−0.606492 | + | 0.795089i | \(0.707424\pi\) | |||||||
\(380\) | −0.159241 | − | 0.490094i | −0.00816891 | − | 0.0251413i | ||||
\(381\) | −12.5286 | − | 9.10255i | −0.641859 | − | 0.466338i | ||||
\(382\) | −7.92756 | + | 5.75971i | −0.405609 | + | 0.294692i | ||||
\(383\) | −6.95815 | + | 21.4150i | −0.355545 | + | 1.09425i | 0.600148 | + | 0.799889i | \(0.295108\pi\) |
−0.955693 | + | 0.294366i | \(0.904892\pi\) | |||||||
\(384\) | 1.22201 | 0.0623602 | ||||||||
\(385\) | −2.75071 | − | 1.85299i | −0.140189 | − | 0.0944371i | ||||
\(386\) | 14.4512 | 0.735548 | ||||||||
\(387\) | 4.96607 | − | 15.2840i | 0.252439 | − | 0.776928i | ||||
\(388\) | 3.56836 | − | 2.59257i | 0.181156 | − | 0.131618i | ||||
\(389\) | 16.8553 | + | 12.2461i | 0.854598 | + | 0.620902i | 0.926410 | − | 0.376516i | \(-0.122878\pi\) |
−0.0718120 | + | 0.997418i | \(0.522878\pi\) | |||||||
\(390\) | −1.31343 | − | 4.04231i | −0.0665079 | − | 0.204690i | ||||
\(391\) | −0.0644726 | − | 0.198426i | −0.00326052 | − | 0.0100348i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | −14.9774 | + | 10.8817i | −0.755508 | + | 0.548909i | ||||
\(394\) | 7.01314 | − | 21.5842i | 0.353317 | − | 1.08740i | ||||
\(395\) | −9.98676 | −0.502488 | ||||||||
\(396\) | −1.71194 | − | 4.69478i | −0.0860281 | − | 0.235921i | ||||
\(397\) | 19.0865 | 0.957924 | 0.478962 | − | 0.877836i | \(-0.341013\pi\) | ||||
0.478962 | + | 0.877836i | \(0.341013\pi\) | |||||||
\(398\) | 2.91679 | − | 8.97696i | 0.146205 | − | 0.449974i | ||||
\(399\) | 0.509453 | − | 0.370139i | 0.0255046 | − | 0.0185301i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 9.32906 | + | 28.7119i | 0.465871 | + | 1.43380i | 0.857884 | + | 0.513843i | \(0.171779\pi\) |
−0.392013 | + | 0.919960i | \(0.628221\pi\) | |||||||
\(402\) | −0.698519 | − | 2.14982i | −0.0348389 | − | 0.107223i | ||||
\(403\) | −28.8780 | − | 20.9811i | −1.43851 | − | 1.04514i | ||||
\(404\) | −10.1785 | + | 7.39509i | −0.506397 | + | 0.367919i | ||||
\(405\) | 0.682848 | − | 2.10159i | 0.0339310 | − | 0.104429i | ||||
\(406\) | −9.24062 | −0.458604 | ||||||||
\(407\) | −4.35889 | + | 3.40973i | −0.216062 | + | 0.169014i | ||||
\(408\) | −0.168791 | −0.00835642 | ||||||||
\(409\) | −9.10310 | + | 28.0165i | −0.450119 | + | 1.38532i | 0.426652 | + | 0.904416i | \(0.359693\pi\) |
−0.876771 | + | 0.480908i | \(0.840307\pi\) | |||||||
\(410\) | −9.85932 | + | 7.16322i | −0.486917 | + | 0.353766i | ||||
\(411\) | −21.6366 | − | 15.7199i | −1.06725 | − | 0.775405i | ||||
\(412\) | −0.922325 | − | 2.83862i | −0.0454397 | − | 0.139849i | ||||
\(413\) | −2.87544 | − | 8.84969i | −0.141491 | − | 0.435465i | ||||
\(414\) | 1.84120 | + | 1.33771i | 0.0904900 | + | 0.0657448i | ||||
\(415\) | 1.78336 | − | 1.29569i | 0.0875418 | − | 0.0636028i | ||||
\(416\) | 1.07481 | − | 3.30793i | 0.0526970 | − | 0.162185i | ||||
\(417\) | 3.02287 | 0.148031 | ||||||||
\(418\) | 1.70803 | − | 0.0606677i | 0.0835426 | − | 0.00296735i | ||||
\(419\) | −20.4867 | −1.00084 | −0.500419 | − | 0.865783i | \(-0.666821\pi\) | ||||
−0.500419 | + | 0.865783i | \(0.666821\pi\) | |||||||
\(420\) | 0.377620 | − | 1.16220i | 0.0184260 | − | 0.0567094i | ||||
\(421\) | 2.11398 | − | 1.53590i | 0.103029 | − | 0.0748550i | −0.535078 | − | 0.844803i | \(-0.679718\pi\) |
0.638107 | + | 0.769948i | \(0.279718\pi\) | |||||||
\(422\) | −9.02051 | − | 6.55378i | −0.439111 | − | 0.319033i | ||||
\(423\) | 0.841297 | + | 2.58925i | 0.0409053 | + | 0.125893i | ||||
\(424\) | 0.429858 | + | 1.32297i | 0.0208757 | + | 0.0642489i | ||||
\(425\) | 0.111747 | + | 0.0811888i | 0.00542051 | + | 0.00393823i | ||||
\(426\) | 6.31941 | − | 4.59132i | 0.306176 | − | 0.222450i | ||||
\(427\) | −4.17847 | + | 12.8600i | −0.202211 | + | 0.622340i | ||||
\(428\) | 13.2777 | 0.641800 | ||||||||
\(429\) | 14.0879 | − | 0.500388i | 0.680169 | − | 0.0241590i | ||||
\(430\) | 10.6660 | 0.514361 | ||||||||
\(431\) | −3.05245 | + | 9.39449i | −0.147031 | + | 0.452516i | −0.997267 | − | 0.0738866i | \(-0.976460\pi\) |
0.850235 | + | 0.526403i | \(0.176460\pi\) | |||||||
\(432\) | 4.45543 | − | 3.23706i | 0.214362 | − | 0.155743i | ||||
\(433\) | −15.7968 | − | 11.4770i | −0.759146 | − | 0.551552i | 0.139502 | − | 0.990222i | \(-0.455450\pi\) |
−0.898648 | + | 0.438670i | \(0.855450\pi\) | |||||||
\(434\) | −3.17133 | − | 9.76035i | −0.152229 | − | 0.468512i | ||||
\(435\) | −3.48945 | − | 10.7394i | −0.167306 | − | 0.514916i | ||||
\(436\) | −0.406726 | − | 0.295504i | −0.0194787 | − | 0.0141521i | ||||
\(437\) | −0.629719 | + | 0.457517i | −0.0301235 | + | 0.0218860i | ||||
\(438\) | −4.17834 | + | 12.8596i | −0.199649 | + | 0.614455i | ||||
\(439\) | 3.38579 | 0.161595 | 0.0807974 | − | 0.996731i | \(-0.474253\pi\) | ||||
0.0807974 | + | 0.996731i | \(0.474253\pi\) | |||||||
\(440\) | 2.61232 | − | 2.04348i | 0.124537 | − | 0.0974191i | ||||
\(441\) | −1.50670 | −0.0717477 | ||||||||
\(442\) | −0.148460 | + | 0.456913i | −0.00706152 | + | 0.0217331i | ||||
\(443\) | 15.6533 | − | 11.3728i | 0.743710 | − | 0.540337i | −0.150161 | − | 0.988662i | \(-0.547979\pi\) |
0.893871 | + | 0.448325i | \(0.147979\pi\) | |||||||
\(444\) | −1.64961 | − | 1.19851i | −0.0782870 | − | 0.0568788i | ||||
\(445\) | −0.538197 | − | 1.65640i | −0.0255130 | − | 0.0785210i | ||||
\(446\) | −1.22927 | − | 3.78331i | −0.0582076 | − | 0.179145i | ||||
\(447\) | −16.9092 | − | 12.2852i | −0.799777 | − | 0.581072i | ||||
\(448\) | 0.809017 | − | 0.587785i | 0.0382225 | − | 0.0277702i | ||||
\(449\) | 10.2387 | − | 31.5114i | 0.483194 | − | 1.48712i | −0.351387 | − | 0.936230i | \(-0.614290\pi\) |
0.834580 | − | 0.550887i | \(-0.185710\pi\) | |||||||
\(450\) | −1.50670 | −0.0710266 | ||||||||
\(451\) | −13.8468 | − | 37.9732i | −0.652021 | − | 1.78809i | ||||
\(452\) | −8.91196 | −0.419183 | ||||||||
\(453\) | 1.21319 | − | 3.73381i | 0.0570005 | − | 0.175430i | ||||
\(454\) | −17.5838 | + | 12.7754i | −0.825247 | + | 0.599577i | ||||
\(455\) | −2.81389 | − | 2.04441i | −0.131917 | − | 0.0958435i | ||||
\(456\) | 0.194594 | + | 0.598898i | 0.00911269 | + | 0.0280460i | ||||
\(457\) | −3.91974 | − | 12.0637i | −0.183358 | − | 0.564317i | 0.816559 | − | 0.577263i | \(-0.195879\pi\) |
−0.999916 | + | 0.0129459i | \(0.995879\pi\) | |||||||
\(458\) | −1.33179 | − | 0.967601i | −0.0622304 | − | 0.0452130i | ||||
\(459\) | −0.615413 | + | 0.447124i | −0.0287250 | + | 0.0208700i | ||||
\(460\) | −0.466765 | + | 1.43655i | −0.0217630 | + | 0.0669797i | ||||
\(461\) | 19.4617 | 0.906421 | 0.453211 | − | 0.891403i | \(-0.350279\pi\) | ||||
0.453211 | + | 0.891403i | \(0.350279\pi\) | |||||||
\(462\) | 3.36139 | + | 2.26436i | 0.156386 | + | 0.105348i | ||||
\(463\) | 29.6401 | 1.37749 | 0.688746 | − | 0.725003i | \(-0.258162\pi\) | ||||
0.688746 | + | 0.725003i | \(0.258162\pi\) | |||||||
\(464\) | 2.85551 | − | 8.78835i | 0.132564 | − | 0.407989i | ||||
\(465\) | 10.1459 | − | 7.37142i | 0.470504 | − | 0.341841i | ||||
\(466\) | 0.903264 | + | 0.656260i | 0.0418429 | + | 0.0304006i | ||||
\(467\) | 8.28194 | + | 25.4892i | 0.383242 | + | 1.17950i | 0.937747 | + | 0.347318i | \(0.112908\pi\) |
−0.554505 | + | 0.832181i | \(0.687092\pi\) | |||||||
\(468\) | −1.61942 | − | 4.98406i | −0.0748577 | − | 0.230388i | ||||
\(469\) | −1.49651 | − | 1.08728i | −0.0691025 | − | 0.0502059i | ||||
\(470\) | −1.46183 | + | 1.06208i | −0.0674292 | + | 0.0489902i | ||||
\(471\) | 1.03779 | − | 3.19399i | 0.0478189 | − | 0.147172i | ||||
\(472\) | 9.30512 | 0.428303 | ||||||||
\(473\) | −9.73041 | + | 34.0106i | −0.447405 | + | 1.56381i | ||||
\(474\) | 12.2039 | 0.560542 | ||||||||
\(475\) | 0.159241 | − | 0.490094i | 0.00730649 | − | 0.0224871i | ||||
\(476\) | −0.111747 | + | 0.0811888i | −0.00512190 | + | 0.00372128i | ||||
\(477\) | 1.69562 | + | 1.23194i | 0.0776369 | + | 0.0564065i | ||||
\(478\) | 5.34963 | + | 16.4645i | 0.244686 | + | 0.753067i | ||||
\(479\) | 4.12270 | + | 12.6884i | 0.188371 | + | 0.579746i | 0.999990 | − | 0.00444053i | \(-0.00141347\pi\) |
−0.811619 | + | 0.584187i | \(0.801413\pi\) | |||||||
\(480\) | 0.988623 | + | 0.718277i | 0.0451243 | + | 0.0327847i | ||||
\(481\) | −4.69524 | + | 3.41129i | −0.214084 | + | 0.155541i | ||||
\(482\) | −7.33991 | + | 22.5899i | −0.334324 | + | 1.02894i | ||||
\(483\) | −1.84582 | −0.0839876 | ||||||||
\(484\) | 4.13286 | + | 10.1941i | 0.187857 | + | 0.463368i | ||||
\(485\) | 4.41074 | 0.200281 | ||||||||
\(486\) | 4.27103 | − | 13.1449i | 0.193738 | − | 0.596263i | ||||
\(487\) | 10.8180 | − | 7.85972i | 0.490209 | − | 0.356158i | −0.315056 | − | 0.949073i | \(-0.602023\pi\) |
0.805265 | + | 0.592915i | \(0.202023\pi\) | |||||||
\(488\) | −10.9394 | − | 7.94793i | −0.495203 | − | 0.359786i | ||||
\(489\) | −4.72784 | − | 14.5508i | −0.213800 | − | 0.658010i | ||||
\(490\) | −0.309017 | − | 0.951057i | −0.0139600 | − | 0.0429644i | ||||
\(491\) | −21.0112 | − | 15.2655i | −0.948221 | − | 0.688923i | 0.00216412 | − | 0.999998i | \(-0.499311\pi\) |
−0.950386 | + | 0.311074i | \(0.899311\pi\) | |||||||
\(492\) | 12.0481 | − | 8.75349i | 0.543172 | − | 0.394638i | ||||
\(493\) | −0.394422 | + | 1.21391i | −0.0177639 | + | 0.0546715i | ||||
\(494\) | 1.79235 | 0.0806417 | ||||||||
\(495\) | 1.37454 | − | 4.80441i | 0.0617808 | − | 0.215942i | ||||
\(496\) | 10.2626 | 0.460806 | ||||||||
\(497\) | 1.97528 | − | 6.07928i | 0.0886033 | − | 0.272693i | ||||
\(498\) | −2.17928 | + | 1.58334i | −0.0976558 | + | 0.0709511i | ||||
\(499\) | 18.2729 | + | 13.2761i | 0.818008 | + | 0.594318i | 0.916141 | − | 0.400855i | \(-0.131287\pi\) |
−0.0981330 | + | 0.995173i | \(0.531287\pi\) | |||||||
\(500\) | −0.309017 | − | 0.951057i | −0.0138197 | − | 0.0425325i | ||||
\(501\) | 6.43221 | + | 19.7963i | 0.287370 | + | 0.884433i | ||||
\(502\) | −9.80977 | − | 7.12721i | −0.437831 | − | 0.318103i | ||||
\(503\) | 23.2943 | − | 16.9243i | 1.03864 | − | 0.754617i | 0.0686215 | − | 0.997643i | \(-0.478140\pi\) |
0.970020 | + | 0.243026i | \(0.0781399\pi\) | |||||||
\(504\) | 0.465597 | − | 1.43296i | 0.0207393 | − | 0.0638291i | ||||
\(505\) | −12.5813 | −0.559859 | ||||||||
\(506\) | −4.15490 | − | 2.79891i | −0.184708 | − | 0.124427i | ||||
\(507\) | −1.10272 | −0.0489737 | ||||||||
\(508\) | 3.91610 | − | 12.0525i | 0.173749 | − | 0.534743i | ||||
\(509\) | 19.3805 | − | 14.0808i | 0.859027 | − | 0.624119i | −0.0685933 | − | 0.997645i | \(-0.521851\pi\) |
0.927620 | + | 0.373525i | \(0.121851\pi\) | |||||||
\(510\) | −0.136555 | − | 0.0992131i | −0.00604676 | − | 0.00439323i | ||||
\(511\) | 3.41925 | + | 10.5234i | 0.151258 | + | 0.465526i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 2.29595 | + | 1.66811i | 0.101369 | + | 0.0736488i | ||||
\(514\) | 23.1455 | − | 16.8162i | 1.02091 | − | 0.741731i | ||||
\(515\) | 0.922325 | − | 2.83862i | 0.0406425 | − | 0.125085i | ||||
\(516\) | −13.0339 | −0.573787 | ||||||||
\(517\) | −2.05305 | − | 5.63024i | −0.0902931 | − | 0.247618i | ||||
\(518\) | −1.66859 | −0.0733137 | ||||||||
\(519\) | 3.54436 | − | 10.9084i | 0.155580 | − | 0.478826i | ||||
\(520\) | 2.81389 | − | 2.04441i | 0.123397 | − | 0.0896534i | ||||
\(521\) | 12.7750 | + | 9.28156i | 0.559682 | + | 0.406632i | 0.831342 | − | 0.555761i | \(-0.187573\pi\) |
−0.271661 | + | 0.962393i | \(0.587573\pi\) | |||||||
\(522\) | −4.30240 | − | 13.2414i | −0.188311 | − | 0.579562i | ||||
\(523\) | −6.85560 | − | 21.0994i | −0.299775 | − | 0.922611i | −0.981576 | − | 0.191074i | \(-0.938803\pi\) |
0.681801 | − | 0.731538i | \(-0.261197\pi\) | |||||||
\(524\) | −12.2564 | − | 8.90478i | −0.535422 | − | 0.389007i | ||||
\(525\) | 0.988623 | − | 0.718277i | 0.0431471 | − | 0.0313482i | ||||
\(526\) | −9.41694 | + | 28.9823i | −0.410598 | + | 1.26369i | ||||
\(527\) | −1.41754 | −0.0617492 | ||||||||
\(528\) | −3.19226 | + | 2.49714i | −0.138925 | + | 0.108674i | ||||
\(529\) | −20.7184 | −0.900802 | ||||||||
\(530\) | −0.429858 | + | 1.32297i | −0.0186718 | + | 0.0574660i | ||||
\(531\) | 11.3425 | − | 8.24077i | 0.492221 | − | 0.357619i | ||||
\(532\) | 0.416899 | + | 0.302895i | 0.0180749 | + | 0.0131322i | ||||
\(533\) | −13.0985 | − | 40.3130i | −0.567359 | − | 1.74615i | ||||
\(534\) | 0.657680 | + | 2.02413i | 0.0284606 | + | 0.0875928i | ||||
\(535\) | 10.7419 | + | 7.80442i | 0.464411 | + | 0.337414i | ||||
\(536\) | 1.49651 | − | 1.08728i | 0.0646395 | − | 0.0469633i | ||||
\(537\) | −4.20040 | + | 12.9275i | −0.181261 | + | 0.557863i | ||||
\(538\) | −31.0485 | −1.33860 | ||||||||
\(539\) | 3.31453 | − | 0.117729i | 0.142767 | − | 0.00507096i | ||||
\(540\) | 5.50722 | 0.236993 | ||||||||
\(541\) | −5.85618 | + | 18.0235i | −0.251777 | + | 0.774890i | 0.742671 | + | 0.669657i | \(0.233559\pi\) |
−0.994448 | + | 0.105233i | \(0.966441\pi\) | |||||||
\(542\) | −6.88439 | + | 5.00180i | −0.295710 | + | 0.214846i | ||||
\(543\) | −9.46752 | − | 6.87855i | −0.406290 | − | 0.295187i | ||||
\(544\) | −0.0426835 | − | 0.131366i | −0.00183004 | − | 0.00563228i | ||||
\(545\) | −0.155356 | − | 0.478135i | −0.00665470 | − | 0.0204811i | ||||
\(546\) | 3.43859 | + | 2.49828i | 0.147158 | + | 0.106917i | ||||
\(547\) | 25.5696 | − | 18.5774i | 1.09328 | − | 0.794311i | 0.113326 | − | 0.993558i | \(-0.463850\pi\) |
0.979949 | + | 0.199247i | \(0.0638495\pi\) | |||||||
\(548\) | 6.76301 | − | 20.8144i | 0.288901 | − | 0.889147i | ||||
\(549\) | −20.3734 | −0.869514 | ||||||||
\(550\) | 3.31453 | − | 0.117729i | 0.141332 | − | 0.00501999i | ||||
\(551\) | 4.76184 | 0.202861 | ||||||||
\(552\) | 0.570389 | − | 1.75548i | 0.0242774 | − | 0.0747180i | ||||
\(553\) | 8.07946 | − | 5.87007i | 0.343573 | − | 0.249621i | ||||
\(554\) | 11.8435 | + | 8.60484i | 0.503184 | + | 0.365585i | ||||
\(555\) | −0.630095 | − | 1.93923i | −0.0267460 | − | 0.0823158i | ||||
\(556\) | 0.764415 | + | 2.35263i | 0.0324184 | + | 0.0997737i | ||||
\(557\) | 12.7326 | + | 9.25080i | 0.539499 | + | 0.391969i | 0.823899 | − | 0.566737i | \(-0.191794\pi\) |
−0.284400 | + | 0.958706i | \(0.591794\pi\) | |||||||
\(558\) | 12.5096 | − | 9.08877i | 0.529575 | − | 0.384758i | ||||
\(559\) | −11.4640 | + | 35.2825i | −0.484874 | + | 1.49229i | ||||
\(560\) | 1.00000 | 0.0422577 | ||||||||
\(561\) | 0.440936 | − | 0.344922i | 0.0186164 | − | 0.0145626i | ||||
\(562\) | −8.91851 | −0.376205 | ||||||||
\(563\) | 0.509741 | − | 1.56882i | 0.0214830 | − | 0.0661180i | −0.939740 | − | 0.341889i | \(-0.888933\pi\) |
0.961223 | + | 0.275771i | \(0.0889332\pi\) | |||||||
\(564\) | 1.78637 | − | 1.29787i | 0.0752195 | − | 0.0546502i | ||||
\(565\) | −7.20993 | − | 5.23832i | −0.303324 | − | 0.220378i | ||||
\(566\) | 6.09266 | + | 18.7513i | 0.256094 | + | 0.788175i | ||||
\(567\) | 0.682848 | + | 2.10159i | 0.0286769 | + | 0.0882584i | ||||
\(568\) | 5.17134 | + | 3.75720i | 0.216985 | + | 0.157649i | ||||
\(569\) | 28.8548 | − | 20.9642i | 1.20965 | − | 0.878866i | 0.214455 | − | 0.976734i | \(-0.431202\pi\) |
0.995199 | + | 0.0978683i | \(0.0312024\pi\) | |||||||
\(570\) | −0.194594 | + | 0.598898i | −0.00815064 | + | 0.0250851i | ||||
\(571\) | 29.5199 | 1.23537 | 0.617684 | − | 0.786427i | \(-0.288071\pi\) | ||||
0.617684 | + | 0.786427i | \(0.288071\pi\) | |||||||
\(572\) | 3.95194 | + | 10.8377i | 0.165239 | + | 0.453147i | ||||
\(573\) | 11.9744 | 0.500239 | ||||||||
\(574\) | 3.76593 | − | 11.5903i | 0.157187 | − | 0.483771i | ||||
\(575\) | −1.22201 | + | 0.887839i | −0.0509612 | + | 0.0370254i | ||||
\(576\) | 1.21895 | + | 0.885617i | 0.0507895 | + | 0.0369007i | ||||
\(577\) | −9.61674 | − | 29.5973i | −0.400350 | − | 1.23215i | −0.924716 | − | 0.380658i | \(-0.875698\pi\) |
0.524366 | − | 0.851493i | \(-0.324302\pi\) | |||||||
\(578\) | −5.24739 | − | 16.1498i | −0.218263 | − | 0.671744i | ||||
\(579\) | −14.2868 | − | 10.3800i | −0.593740 | − | 0.431377i | ||||
\(580\) | 7.47582 | − | 5.43150i | 0.310417 | − | 0.225531i | ||||
\(581\) | −0.681184 | + | 2.09647i | −0.0282603 | + | 0.0869761i | ||||
\(582\) | −5.38995 | −0.223420 | ||||||||
\(583\) | −3.82638 | − | 2.57760i | −0.158472 | − | 0.106753i | ||||
\(584\) | −11.0649 | −0.457869 | ||||||||
\(585\) | 1.61942 | − | 4.98406i | 0.0669548 | − | 0.206066i | ||||
\(586\) | −5.60545 | + | 4.07260i | −0.231559 | + | 0.168237i | ||||
\(587\) | 29.5753 | + | 21.4877i | 1.22070 | + | 0.886892i | 0.996158 | − | 0.0875720i | \(-0.0279108\pi\) |
0.224544 | + | 0.974464i | \(0.427911\pi\) | |||||||
\(588\) | 0.377620 | + | 1.16220i | 0.0155728 | + | 0.0479282i | ||||
\(589\) | 1.63424 | + | 5.02966i | 0.0673375 | + | 0.207244i | ||||
\(590\) | 7.52800 | + | 5.46941i | 0.309923 | + | 0.225172i | ||||
\(591\) | −22.4368 | + | 16.3013i | −0.922926 | + | 0.670545i | ||||
\(592\) | 0.515623 | − | 1.58693i | 0.0211920 | − | 0.0652222i | ||||
\(593\) | −4.49251 | −0.184485 | −0.0922427 | − | 0.995737i | \(-0.529404\pi\) | ||||
−0.0922427 | + | 0.995737i | \(0.529404\pi\) | |||||||
\(594\) | −5.02412 | + | 17.5608i | −0.206142 | + | 0.720528i | ||||
\(595\) | −0.138127 | −0.00566264 | ||||||||
\(596\) | 5.28536 | − | 16.2667i | 0.216497 | − | 0.666308i | ||||
\(597\) | −9.33155 | + | 6.77977i | −0.381915 | + | 0.277477i | ||||
\(598\) | −4.25033 | − | 3.08805i | −0.173809 | − | 0.126280i | ||||
\(599\) | −1.55851 | − | 4.79659i | −0.0636789 | − | 0.195983i | 0.914155 | − | 0.405364i | \(-0.132855\pi\) |
−0.977834 | + | 0.209381i | \(0.932855\pi\) | |||||||
\(600\) | 0.377620 | + | 1.16220i | 0.0154163 | + | 0.0474465i | ||||
\(601\) | 22.2692 | + | 16.1795i | 0.908380 | + | 0.659977i | 0.940605 | − | 0.339504i | \(-0.110259\pi\) |
−0.0322244 | + | 0.999481i | \(0.510259\pi\) | |||||||
\(602\) | −8.62900 | + | 6.26933i | −0.351692 | + | 0.255519i | ||||
\(603\) | 0.861256 | − | 2.65067i | 0.0350731 | − | 0.107944i | ||||
\(604\) | 3.21272 | 0.130724 | ||||||||
\(605\) | −2.64838 | + | 10.6764i | −0.107672 | + | 0.434058i | ||||
\(606\) | 15.3744 | 0.624542 | ||||||||
\(607\) | −1.06342 | + | 3.27286i | −0.0431627 | + | 0.132841i | −0.970316 | − | 0.241842i | \(-0.922248\pi\) |
0.927153 | + | 0.374683i | \(0.122248\pi\) | |||||||
\(608\) | −0.416899 | + | 0.302895i | −0.0169075 | + | 0.0122840i | ||||
\(609\) | 9.13549 | + | 6.63733i | 0.370189 | + | 0.268958i | ||||
\(610\) | −4.17847 | − | 12.8600i | −0.169181 | − | 0.520687i | ||||
\(611\) | −1.94210 | − | 5.97717i | −0.0785690 | − | 0.241810i | ||||
\(612\) | −0.168369 | − | 0.122327i | −0.00680592 | − | 0.00494479i | ||||
\(613\) | 8.99258 | − | 6.53349i | 0.363207 | − | 0.263885i | −0.391181 | − | 0.920314i | \(-0.627934\pi\) |
0.754389 | + | 0.656428i | \(0.227934\pi\) | |||||||
\(614\) | −6.37624 | + | 19.6241i | −0.257324 | + | 0.791963i | ||||
\(615\) | 14.8923 | 0.600517 | ||||||||
\(616\) | −0.912280 | + | 3.18869i | −0.0367568 | + | 0.128476i | ||||
\(617\) | −10.7522 | −0.432869 | −0.216434 | − | 0.976297i | \(-0.569443\pi\) | ||||
−0.216434 | + | 0.976297i | \(0.569443\pi\) | |||||||
\(618\) | −1.12709 | + | 3.46881i | −0.0453380 | + | 0.139536i | ||||
\(619\) | −8.20266 | + | 5.95958i | −0.329693 | + | 0.239536i | −0.740300 | − | 0.672276i | \(-0.765317\pi\) |
0.410607 | + | 0.911812i | \(0.365317\pi\) | |||||||
\(620\) | 8.30265 | + | 6.03223i | 0.333442 | + | 0.242260i | ||||
\(621\) | −2.57057 | − | 7.91141i | −0.103154 | − | 0.317474i | ||||
\(622\) | −6.25325 | − | 19.2455i | −0.250733 | − | 0.771676i | ||||
\(623\) | 1.40902 | + | 1.02371i | 0.0564512 | + | 0.0410142i | ||||
\(624\) | −3.43859 | + | 2.49828i | −0.137654 | + | 0.100011i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | −4.40784 | −0.176173 | ||||||||
\(627\) | −1.73218 | − | 1.16686i | −0.0691765 | − | 0.0466000i | ||||
\(628\) | 2.74824 | 0.109667 | ||||||||
\(629\) | −0.0712213 | + | 0.219197i | −0.00283978 | + | 0.00873994i | ||||
\(630\) | 1.21895 | − | 0.885617i | 0.0485640 | − | 0.0352838i | ||||
\(631\) | 2.10545 | + | 1.52970i | 0.0838166 | + | 0.0608963i | 0.628904 | − | 0.777483i | \(-0.283504\pi\) |
−0.545088 | + | 0.838379i | \(0.683504\pi\) | |||||||
\(632\) | 3.08608 | + | 9.49797i | 0.122758 | + | 0.377809i | ||||
\(633\) | 4.21045 | + | 12.9584i | 0.167350 | + | 0.515052i | ||||
\(634\) | −21.0329 | − | 15.2813i | −0.835325 | − | 0.606899i | ||||
\(635\) | 10.2525 | − | 7.44886i | 0.406857 | − | 0.295599i | ||||
\(636\) | 0.525288 | − | 1.61667i | 0.0208290 | − | 0.0641052i | ||||
\(637\) | 3.47816 | 0.137810 | ||||||||
\(638\) | 10.4993 | + | 28.7931i | 0.415672 | + | 1.13993i | ||||
\(639\) | 9.63104 | 0.380998 | ||||||||
\(640\) | −0.309017 | + | 0.951057i | −0.0122150 | + | 0.0375938i | ||||
\(641\) | 9.86328 | − | 7.16609i | 0.389576 | − | 0.283044i | −0.375706 | − | 0.926739i | \(-0.622600\pi\) |
0.765282 | + | 0.643695i | \(0.222600\pi\) | |||||||
\(642\) | −13.1266 | − | 9.53704i | −0.518066 | − | 0.376397i | ||||
\(643\) | −3.74244 | − | 11.5181i | −0.147588 | − | 0.454228i | 0.849747 | − | 0.527190i | \(-0.176755\pi\) |
−0.997335 | + | 0.0729628i | \(0.976755\pi\) | |||||||
\(644\) | −0.466765 | − | 1.43655i | −0.0183931 | − | 0.0566081i | ||||
\(645\) | −10.5447 | − | 7.66116i | −0.415196 | − | 0.301658i | ||||
\(646\) | 0.0575848 | − | 0.0418378i | 0.00226565 | − | 0.00164609i | ||||
\(647\) | −1.52010 | + | 4.67839i | −0.0597614 | + | 0.183927i | −0.976481 | − | 0.215606i | \(-0.930827\pi\) |
0.916719 | + | 0.399532i | \(0.130827\pi\) | |||||||
\(648\) | −2.20974 | −0.0868068 | ||||||||
\(649\) | −24.3079 | + | 19.0148i | −0.954169 | + | 0.746397i | ||||
\(650\) | 3.47816 | 0.136425 | ||||||||
\(651\) | −3.87538 | + | 11.9272i | −0.151888 | + | 0.467464i | ||||
\(652\) | 10.1290 | − | 7.35913i | 0.396681 | − | 0.288206i | ||||
\(653\) | 10.7200 | + | 7.78852i | 0.419505 | + | 0.304788i | 0.777439 | − | 0.628959i | \(-0.216519\pi\) |
−0.357934 | + | 0.933747i | \(0.616519\pi\) | |||||||
\(654\) | 0.189845 | + | 0.584284i | 0.00742354 | + | 0.0228473i | ||||
\(655\) | −4.68152 | − | 14.4082i | −0.182922 | − | 0.562976i | ||||
\(656\) | 9.85932 | + | 7.16322i | 0.384942 | + | 0.279677i | ||||
\(657\) | −13.4875 | + | 9.79928i | −0.526199 | + | 0.382306i | ||||
\(658\) | 0.558370 | − | 1.71848i | 0.0217675 | − | 0.0669935i | ||||
\(659\) | 30.5268 | 1.18916 | 0.594579 | − | 0.804038i | \(-0.297319\pi\) | ||||
0.594579 | + | 0.804038i | \(0.297319\pi\) | |||||||
\(660\) | −4.05038 | + | 0.143866i | −0.157661 | + | 0.00559997i | ||||
\(661\) | −2.30028 | −0.0894707 | −0.0447353 | − | 0.998999i | \(-0.514244\pi\) | ||||
−0.0447353 | + | 0.998999i | \(0.514244\pi\) | |||||||
\(662\) | −6.12530 | + | 18.8517i | −0.238067 | + | 0.732694i | ||||
\(663\) | 0.474961 | − | 0.345079i | 0.0184460 | − | 0.0134018i | ||||
\(664\) | −1.78336 | − | 1.29569i | −0.0692079 | − | 0.0502824i | ||||
\(665\) | 0.159241 | + | 0.490094i | 0.00617511 | + | 0.0190050i | ||||
\(666\) | −0.776891 | − | 2.39102i | −0.0301039 | − | 0.0926503i | ||||
\(667\) | −11.2921 | − | 8.20419i | −0.437232 | − | 0.317667i | ||||
\(668\) | −13.7804 | + | 10.0121i | −0.533180 | + | 0.387378i | ||||
\(669\) | −1.50218 | + | 4.62322i | −0.0580775 | + | 0.178744i | ||||
\(670\) | 1.84979 | 0.0714636 | ||||||||
\(671\) | 44.8186 | − | 1.59191i | 1.73020 | − | 0.0614551i | ||||
\(672\) | −1.22201 | −0.0471399 | ||||||||
\(673\) | −7.72469 | + | 23.7742i | −0.297765 | + | 0.916427i | 0.684514 | + | 0.729000i | \(0.260015\pi\) |
−0.982279 | + | 0.187427i | \(0.939985\pi\) | |||||||
\(674\) | −24.5812 | + | 17.8593i | −0.946831 | + | 0.687913i | ||||
\(675\) | 4.45543 | + | 3.23706i | 0.171490 | + | 0.124594i | ||||
\(676\) | −0.278853 | − | 0.858222i | −0.0107251 | − | 0.0330085i | ||||
\(677\) | 5.13075 | + | 15.7908i | 0.197191 | + | 0.606891i | 0.999944 | + | 0.0105797i | \(0.00336768\pi\) |
−0.802753 | + | 0.596312i | \(0.796632\pi\) | |||||||
\(678\) | 8.81057 | + | 6.40126i | 0.338368 | + | 0.245839i | ||||
\(679\) | −3.56836 | + | 2.59257i | −0.136941 | + | 0.0994936i | ||||
\(680\) | 0.0426835 | − | 0.131366i | 0.00163684 | − | 0.00503766i | ||||
\(681\) | 26.5600 | 1.01778 | ||||||||
\(682\) | −26.8093 | + | 20.9715i | −1.02658 | + | 0.803040i | ||||
\(683\) | 13.6055 | 0.520598 | 0.260299 | − | 0.965528i | \(-0.416179\pi\) | ||||
0.260299 | + | 0.965528i | \(0.416179\pi\) | |||||||
\(684\) | −0.239929 | + | 0.738426i | −0.00917392 | + | 0.0282344i | ||||
\(685\) | 17.7058 | − | 12.8640i | 0.676503 | − | 0.491508i | ||||
\(686\) | 0.809017 | + | 0.587785i | 0.0308884 | + | 0.0224417i | ||||
\(687\) | 0.621631 | + | 1.91318i | 0.0237167 | + | 0.0729926i | ||||
\(688\) | −3.29598 | − | 10.1440i | −0.125658 | − | 0.386736i | ||||
\(689\) | −3.91426 | − | 2.84388i | −0.149121 | − | 0.108343i | ||||
\(690\) | 1.49330 | − | 1.08494i | 0.0568489 | − | 0.0413031i | ||||
\(691\) | −8.76691 | + | 26.9818i | −0.333509 | + | 1.02644i | 0.633943 | + | 0.773380i | \(0.281436\pi\) |
−0.967452 | + | 0.253056i | \(0.918564\pi\) | |||||||
\(692\) | 9.38603 | 0.356803 | ||||||||
\(693\) | 1.71194 | + | 4.69478i | 0.0650311 | + | 0.178340i | ||||
\(694\) | −16.6544 | −0.632194 | ||||||||
\(695\) | −0.764415 | + | 2.35263i | −0.0289959 | + | 0.0892403i | ||||
\(696\) | −9.13549 | + | 6.63733i | −0.346280 | + | 0.251587i | ||||
\(697\) | −1.36183 | − | 0.989430i | −0.0515831 | − | 0.0374773i | ||||
\(698\) | −0.526523 | − | 1.62047i | −0.0199292 | − | 0.0613357i | ||||
\(699\) | −0.421612 | − | 1.29759i | −0.0159468 | − | 0.0490793i | ||||
\(700\) | 0.809017 | + | 0.587785i | 0.0305780 | + | 0.0222162i | ||||
\(701\) | −17.6891 | + | 12.8519i | −0.668107 | + | 0.485408i | −0.869391 | − | 0.494125i | \(-0.835489\pi\) |
0.201284 | + | 0.979533i | \(0.435489\pi\) | |||||||
\(702\) | −5.91922 | + | 18.2175i | −0.223406 | + | 0.687574i | ||||
\(703\) | 0.859852 | 0.0324299 | ||||||||
\(704\) | −2.75071 | − | 1.85299i | −0.103671 | − | 0.0698372i | ||||
\(705\) | 2.20807 | 0.0831607 | ||||||||
\(706\) | 3.31938 | − | 10.2160i | 0.124926 | − | 0.384484i | ||||
\(707\) | 10.1785 | − | 7.39509i | 0.382800 | − | 0.278121i | ||||
\(708\) | −9.19926 | − | 6.68365i | −0.345729 | − | 0.251187i | ||||
\(709\) | 11.6326 | + | 35.8014i | 0.436871 | + | 1.34455i | 0.891157 | + | 0.453694i | \(0.149894\pi\) |
−0.454287 | + | 0.890856i | \(0.650106\pi\) | |||||||
\(710\) | 1.97528 | + | 6.07928i | 0.0741308 | + | 0.228151i | ||||
\(711\) | 12.1733 | + | 8.84445i | 0.456536 | + | 0.331693i | ||||
\(712\) | −1.40902 | + | 1.02371i | −0.0528052 | + | 0.0383652i | ||||
\(713\) | 4.79024 | − | 14.7428i | 0.179396 | − | 0.552123i | ||||
\(714\) | 0.168791 | 0.00631686 | ||||||||
\(715\) | −3.17306 | + | 11.0908i | −0.118666 | + | 0.414772i | ||||
\(716\) | −11.1233 | −0.415698 | ||||||||
\(717\) | 6.53728 | − | 20.1197i | 0.244139 | − | 0.751383i | ||||
\(718\) | 13.1711 | − | 9.56937i | 0.491542 | − | 0.357126i | ||||
\(719\) | −7.21611 | − | 5.24281i | −0.269115 | − | 0.195524i | 0.445041 | − | 0.895510i | \(-0.353189\pi\) |
−0.714156 | + | 0.699987i | \(0.753189\pi\) | |||||||
\(720\) | 0.465597 | + | 1.43296i | 0.0173518 | + | 0.0534032i | ||||
\(721\) | 0.922325 | + | 2.83862i | 0.0343492 | + | 0.105716i | ||||
\(722\) | 15.1565 | + | 11.0118i | 0.564066 | + | 0.409818i | ||||
\(723\) | 23.4822 | − | 17.0608i | 0.873313 | − | 0.634499i | ||||
\(724\) | 2.95929 | − | 9.10776i | 0.109981 | − | 0.338487i | ||||
\(725\) | 9.24062 | 0.343188 | ||||||||
\(726\) | 3.23634 | − | 13.0467i | 0.120112 | − | 0.484207i | ||||
\(727\) | −21.9240 | −0.813116 | −0.406558 | − | 0.913625i | \(-0.633271\pi\) | ||||
−0.406558 | + | 0.913625i | \(0.633271\pi\) | |||||||
\(728\) | −1.07481 | + | 3.30793i | −0.0398352 | + | 0.122600i | ||||
\(729\) | −19.0272 | + | 13.8241i | −0.704713 | + | 0.512004i | ||||
\(730\) | −8.95170 | − | 6.50379i | −0.331317 | − | 0.240716i | ||||
\(731\) | 0.455263 | + | 1.40115i | 0.0168385 | + | 0.0518236i | ||||
\(732\) | 5.10612 | + | 15.7150i | 0.188728 | + | 0.580844i | ||||
\(733\) | 24.2387 | + | 17.6104i | 0.895275 | + | 0.650455i | 0.937248 | − | 0.348663i | \(-0.113364\pi\) |
−0.0419730 | + | 0.999119i | \(0.513364\pi\) | |||||||
\(734\) | 17.0660 | − | 12.3992i | 0.629917 | − | 0.457662i | ||||
\(735\) | −0.377620 | + | 1.16220i | −0.0139287 | + | 0.0428683i | ||||
\(736\) | 1.51048 | 0.0556771 | ||||||||
\(737\) | −1.68753 | + | 5.89841i | −0.0621609 | + | 0.217271i | ||||
\(738\) | 18.3619 | 0.675910 | ||||||||
\(739\) | 7.75724 | − | 23.8743i | 0.285355 | − | 0.878232i | −0.700937 | − | 0.713223i | \(-0.747235\pi\) |
0.986292 | − | 0.165009i | \(-0.0527653\pi\) | |||||||
\(740\) | 1.34992 | − | 0.980774i | 0.0496240 | − | 0.0360540i | ||||
\(741\) | −1.77196 | − | 1.28740i | −0.0650946 | − | 0.0472940i | ||||
\(742\) | −0.429858 | − | 1.32297i | −0.0157806 | − | 0.0485676i | ||||
\(743\) | −11.3931 | − | 35.0644i | −0.417973 | − | 1.28639i | −0.909565 | − | 0.415562i | \(-0.863585\pi\) |
0.491592 | − | 0.870826i | \(-0.336415\pi\) | |||||||
\(744\) | −10.1459 | − | 7.37142i | −0.371966 | − | 0.270249i | ||||
\(745\) | 13.8372 | − | 10.0533i | 0.506958 | − | 0.368326i | ||||
\(746\) | −4.30569 | + | 13.2515i | −0.157642 | + | 0.485174i | ||||
\(747\) | −3.32131 | −0.121520 | ||||||||
\(748\) | 0.379947 | + | 0.255947i | 0.0138922 | + | 0.00935835i | ||||
\(749\) | −13.2777 | −0.485155 | ||||||||
\(750\) | −0.377620 | + | 1.16220i | −0.0137888 | + | 0.0424374i | ||||
\(751\) | −24.6125 | + | 17.8820i | −0.898123 | + | 0.652524i | −0.937983 | − | 0.346681i | \(-0.887309\pi\) |
0.0398605 | + | 0.999205i | \(0.487309\pi\) | |||||||
\(752\) | 1.46183 | + | 1.06208i | 0.0533075 | + | 0.0387301i | ||||
\(753\) | 4.57885 | + | 14.0923i | 0.166863 | + | 0.513551i | ||||
\(754\) | 9.93192 | + | 30.5673i | 0.361699 | + | 1.11320i | ||||
\(755\) | 2.59914 | + | 1.88839i | 0.0945925 | + | 0.0687255i | ||||
\(756\) | −4.45543 | + | 3.23706i | −0.162042 | + | 0.117731i | ||||
\(757\) | −3.72056 | + | 11.4507i | −0.135226 | + | 0.416183i | −0.995625 | − | 0.0934377i | \(-0.970214\pi\) |
0.860399 | + | 0.509621i | \(0.170214\pi\) | |||||||
\(758\) | 22.1451 | 0.804346 | ||||||||
\(759\) | 2.09724 | + | 5.75144i | 0.0761252 | + | 0.208764i | ||||
\(760\) | −0.515316 | −0.0186925 | ||||||||
\(761\) | −3.53615 | + | 10.8832i | −0.128185 | + | 0.394514i | −0.994468 | − | 0.105040i | \(-0.966503\pi\) |
0.866283 | + | 0.499554i | \(0.166503\pi\) | |||||||
\(762\) | −12.5286 | + | 9.10255i | −0.453863 | + | 0.329750i | ||||
\(763\) | 0.406726 | + | 0.295504i | 0.0147245 | + | 0.0106980i | ||||
\(764\) | 3.02806 | + | 9.31940i | 0.109551 | + | 0.337164i | ||||
\(765\) | −0.0643113 | − | 0.197930i | −0.00232518 | − | 0.00715616i | ||||
\(766\) | 18.2167 | + | 13.2352i | 0.658195 | + | 0.478207i | ||||
\(767\) | −26.1836 | + | 19.0235i | −0.945435 | + | 0.686899i | ||||
\(768\) | 0.377620 | − | 1.16220i | 0.0136262 | − | 0.0419371i | ||||
\(769\) | 3.36501 | 0.121346 | 0.0606728 | − | 0.998158i | \(-0.480675\pi\) | ||||
0.0606728 | + | 0.998158i | \(0.480675\pi\) | |||||||
\(770\) | −2.61232 | + | 2.04348i | −0.0941413 | + | 0.0736419i | ||||
\(771\) | −34.9609 | −1.25909 | ||||||||
\(772\) | 4.46568 | − | 13.7439i | 0.160723 | − | 0.494655i | ||||
\(773\) | 2.58819 | − | 1.88043i | 0.0930908 | − | 0.0676344i | −0.540266 | − | 0.841494i | \(-0.681676\pi\) |
0.633357 | + | 0.773860i | \(0.281676\pi\) | |||||||
\(774\) | −13.0013 | − | 9.44602i | −0.467323 | − | 0.339530i | ||||
\(775\) | 3.17133 | + | 9.76035i | 0.113918 | + | 0.350602i | ||||
\(776\) | −1.36299 | − | 4.19486i | −0.0489286 | − | 0.150587i | ||||
\(777\) | 1.64961 | + | 1.19851i | 0.0591794 | + | 0.0429963i | ||||
\(778\) | 16.8553 | − | 12.2461i | 0.604292 | − | 0.439044i | ||||
\(779\) | −1.94064 | + | 5.97268i | −0.0695307 | + | 0.213993i | ||||
\(780\) | −4.25033 | −0.152186 | ||||||||
\(781\) | −21.1869 | + | 0.752541i | −0.758128 | + | 0.0269280i | ||||
\(782\) | −0.208638 | −0.00746087 | ||||||||
\(783\) | −15.7259 | + | 48.3994i | −0.561998 | + | 1.72965i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | 2.22337 | + | 1.61537i | 0.0793556 | + | 0.0576552i | ||||
\(786\) | 5.72084 | + | 17.6069i | 0.204056 | + | 0.628019i | ||||
\(787\) | −1.63135 | − | 5.02078i | −0.0581513 | − | 0.178971i | 0.917762 | − | 0.397132i | \(-0.129994\pi\) |
−0.975913 | + | 0.218160i | \(0.929994\pi\) | |||||||
\(788\) | −18.3606 | − | 13.3398i | −0.654070 | − | 0.475210i | ||||
\(789\) | 30.1272 | − | 21.8887i | 1.07256 | − | 0.779257i | ||||
\(790\) | −3.08608 | + | 9.49797i | −0.109798 | + | 0.337923i | ||||
\(791\) | 8.91196 | 0.316873 | ||||||||
\(792\) | −4.99402 | + | 0.177383i | −0.177455 | + | 0.00630303i | ||||
\(793\) | 47.0311 | 1.67012 | ||||||||
\(794\) | 5.89805 | − | 18.1523i | 0.209314 | − | 0.644202i | ||||
\(795\) | 1.37522 | − | 0.999158i | 0.0487741 | − | 0.0354365i | ||||
\(796\) | −7.63625 | − | 5.54806i | −0.270660 | − | 0.196646i | ||||
\(797\) | 12.7171 | + | 39.1394i | 0.450465 | + | 1.38639i | 0.876378 | + | 0.481624i | \(0.159953\pi\) |
−0.425914 | + | 0.904764i | \(0.640047\pi\) | |||||||
\(798\) | −0.194594 | − | 0.598898i | −0.00688854 | − | 0.0212008i | ||||
\(799\) | −0.201918 | − | 0.146702i | −0.00714333 | − | 0.00518994i | ||||
\(800\) | −0.809017 | + | 0.587785i | −0.0286031 | + | 0.0207813i | ||||
\(801\) | −0.810903 | + | 2.49570i | −0.0286519 | + | 0.0881814i | ||||
\(802\) | 30.1895 | 1.06603 | ||||||||
\(803\) | 28.9050 | − | 22.6109i | 1.02004 | − | 0.797922i | ||||
\(804\) | −2.26045 | −0.0797201 | ||||||||
\(805\) | 0.466765 | − | 1.43655i | 0.0164513 | − | 0.0506319i | ||||
\(806\) | −28.8780 | + | 20.9811i | −1.01718 | + | 0.739027i | ||||
\(807\) | 30.6953 | + | 22.3014i | 1.08053 | + | 0.785048i | ||||
\(808\) | 3.88783 | + | 11.9655i | 0.136773 | + | 0.420945i | ||||
\(809\) | −3.48582 | − | 10.7282i | −0.122555 | − | 0.377185i | 0.870893 | − | 0.491473i | \(-0.163541\pi\) |
−0.993448 | + | 0.114288i | \(0.963541\pi\) | |||||||
\(810\) | −1.78772 | − | 1.29885i | −0.0628140 | − | 0.0456370i | ||||
\(811\) | 29.9511 | − | 21.7607i | 1.05172 | − | 0.764123i | 0.0791850 | − | 0.996860i | \(-0.474768\pi\) |
0.972540 | + | 0.232737i | \(0.0747682\pi\) | |||||||
\(812\) | −2.85551 | + | 8.78835i | −0.100209 | + | 0.308411i | ||||
\(813\) | 10.3987 | 0.364700 | ||||||||
\(814\) | 1.89588 | + | 5.19922i | 0.0664505 | + | 0.182232i | ||||
\(815\) | 12.5201 | 0.438560 | ||||||||
\(816\) | −0.0521594 | + | 0.160530i | −0.00182595 | + | 0.00561968i | ||||
\(817\) | 4.44666 | − | 3.23069i | 0.155569 | − | 0.113027i | ||||
\(818\) | 23.8322 | + | 17.3151i | 0.833274 | + | 0.605409i | ||||
\(819\) | 1.61942 | + | 4.98406i | 0.0565871 | + | 0.174157i | ||||
\(820\) | 3.76593 | + | 11.5903i | 0.131512 | + | 0.404752i | ||||
\(821\) | −40.2357 | − | 29.2330i | −1.40424 | − | 1.02024i | −0.994129 | − | 0.108200i | \(-0.965491\pi\) |
−0.410107 | − | 0.912037i | \(-0.634509\pi\) | |||||||
\(822\) | −21.6366 | + | 15.7199i | −0.754662 | + | 0.548294i | ||||
\(823\) | 10.6808 | − | 32.8722i | 0.372310 | − | 1.14585i | −0.572966 | − | 0.819579i | \(-0.694207\pi\) |
0.945276 | − | 0.326273i | \(-0.105793\pi\) | |||||||
\(824\) | −2.98471 | −0.103977 | ||||||||
\(825\) | −3.36139 | − | 2.26436i | −0.117029 | − | 0.0788350i | ||||
\(826\) | −9.30512 | −0.323766 | ||||||||
\(827\) | −7.91239 | + | 24.3518i | −0.275141 | + | 0.846796i | 0.714041 | + | 0.700104i | \(0.246863\pi\) |
−0.989182 | + | 0.146693i | \(0.953137\pi\) | |||||||
\(828\) | 1.84120 | − | 1.33771i | 0.0639861 | − | 0.0464886i | ||||
\(829\) | 9.77854 | + | 7.10453i | 0.339623 | + | 0.246750i | 0.744503 | − | 0.667619i | \(-0.232687\pi\) |
−0.404880 | + | 0.914370i | \(0.632687\pi\) | |||||||
\(830\) | −0.681184 | − | 2.09647i | −0.0236442 | − | 0.0727694i | ||||
\(831\) | −5.52815 | − | 17.0139i | −0.191769 | − | 0.590206i | ||||
\(832\) | −2.81389 | − | 2.04441i | −0.0975542 | − | 0.0708772i | ||||
\(833\) | 0.111747 | − | 0.0811888i | 0.00387180 | − | 0.00281302i | ||||
\(834\) | 0.934120 | − | 2.87492i | 0.0323459 | − | 0.0995505i | ||||
\(835\) | −17.0335 | −0.589469 | ||||||||
\(836\) | 0.470112 | − | 1.64318i | 0.0162592 | − | 0.0568306i | ||||
\(837\) | −56.5186 | −1.95357 | ||||||||
\(838\) | −6.33073 | + | 19.4840i | −0.218691 | + | 0.673063i | ||||
\(839\) | 7.38276 | − | 5.36389i | 0.254881 | − | 0.185182i | −0.453006 | − | 0.891507i | \(-0.649648\pi\) |
0.707887 | + | 0.706325i | \(0.249648\pi\) | |||||||
\(840\) | −0.988623 | − | 0.718277i | −0.0341107 | − | 0.0247829i | ||||
\(841\) | 17.4252 | + | 53.6292i | 0.600869 | + | 1.84928i | ||||
\(842\) | −0.807469 | − | 2.48513i | −0.0278272 | − | 0.0856434i | ||||
\(843\) | 8.81704 | + | 6.40596i | 0.303675 | + | 0.220633i | ||||
\(844\) | −9.02051 | + | 6.55378i | −0.310499 | + | 0.225590i | ||||
\(845\) | 0.278853 | − | 0.858222i | 0.00959284 | − | 0.0295237i | ||||
\(846\) | 2.72249 | 0.0936013 | ||||||||
\(847\) | −4.13286 | − | 10.1941i | −0.142007 | − | 0.350273i | ||||
\(848\) | 1.39105 | 0.0477688 | ||||||||
\(849\) | 7.44526 | − | 22.9142i | 0.255521 | − | 0.786412i | ||||
\(850\) | 0.111747 | − | 0.0811888i | 0.00383288 | − | 0.00278475i | ||||
\(851\) | −2.03903 | − | 1.48144i | −0.0698970 | − | 0.0507832i | ||||
\(852\) | −2.41380 | − | 7.42891i | −0.0826954 | − | 0.254510i | ||||
\(853\) | 1.29358 | + | 3.98124i | 0.0442914 | + | 0.136315i | 0.970757 | − | 0.240065i | \(-0.0771687\pi\) |
−0.926465 | + | 0.376380i | \(0.877169\pi\) | |||||||
\(854\) | 10.9394 | + | 7.94793i | 0.374338 | + | 0.271973i | ||||
\(855\) | −0.628143 | + | 0.456373i | −0.0214820 | + | 0.0156076i | ||||
\(856\) | 4.10302 | − | 12.6278i | 0.140238 | − | 0.431610i | ||||
\(857\) | −23.8579 | −0.814971 | −0.407485 | − | 0.913212i | \(-0.633594\pi\) | ||||
−0.407485 | + | 0.913212i | \(0.633594\pi\) | |||||||
\(858\) | 3.87750 | − | 13.5530i | 0.132376 | − | 0.462692i | ||||
\(859\) | −11.8765 | −0.405221 | −0.202610 | − | 0.979259i | \(-0.564943\pi\) | ||||
−0.202610 | + | 0.979259i | \(0.564943\pi\) | |||||||
\(860\) | 3.29598 | − | 10.1440i | 0.112392 | − | 0.345907i | ||||
\(861\) | −12.0481 | + | 8.75349i | −0.410600 | + | 0.298318i | ||||
\(862\) | 7.99143 | + | 5.80611i | 0.272189 | + | 0.197757i | ||||
\(863\) | 5.21649 | + | 16.0547i | 0.177571 | + | 0.546508i | 0.999742 | − | 0.0227333i | \(-0.00723686\pi\) |
−0.822170 | + | 0.569242i | \(0.807237\pi\) | |||||||
\(864\) | −1.70182 | − | 5.23767i | −0.0578972 | − | 0.178189i | ||||
\(865\) | 7.59346 | + | 5.51697i | 0.258185 | + | 0.187583i | ||||
\(866\) | −15.7968 | + | 11.4770i | −0.536797 | + | 0.390006i | ||||
\(867\) | −6.41234 | + | 19.7352i | −0.217775 | + | 0.670241i | ||||
\(868\) | −10.2626 | −0.348337 | ||||||||
\(869\) | −27.4707 | − | 18.5054i | −0.931880 | − | 0.627751i | ||||
\(870\) | −11.2921 | −0.382838 | ||||||||
\(871\) | −1.98818 | + | 6.11897i | −0.0673667 | + | 0.207334i | ||||
\(872\) | −0.406726 | + | 0.295504i | −0.0137735 | + | 0.0100070i | ||||
\(873\) | −5.37646 | − | 3.90623i | −0.181966 | − | 0.132206i | ||||
\(874\) | 0.240531 | + | 0.740279i | 0.00813609 | + | 0.0250403i | ||||
\(875\) | 0.309017 | + | 0.951057i | 0.0104467 | + | 0.0321516i | ||||
\(876\) | 10.9390 | + | 7.94767i | 0.369595 | + | 0.268527i | ||||
\(877\) | 7.14524 | − | 5.19132i | 0.241278 | − | 0.175298i | −0.460575 | − | 0.887621i | \(-0.652357\pi\) |
0.701852 | + | 0.712323i | \(0.252357\pi\) | |||||||
\(878\) | 1.04627 | − | 3.22007i | 0.0353097 | − | 0.108672i | ||||
\(879\) | 8.46693 | 0.285582 | ||||||||
\(880\) | −1.13621 | − | 3.11593i | −0.0383018 | − | 0.105038i | ||||
\(881\) | −9.23255 | −0.311052 | −0.155526 | − | 0.987832i | \(-0.549707\pi\) | ||||
−0.155526 | + | 0.987832i | \(0.549707\pi\) | |||||||
\(882\) | −0.465597 | + | 1.43296i | −0.0156775 | + | 0.0482502i | ||||
\(883\) | 29.8292 | − | 21.6722i | 1.00383 | − | 0.729327i | 0.0409258 | − | 0.999162i | \(-0.486969\pi\) |
0.962906 | + | 0.269835i | \(0.0869693\pi\) | |||||||
\(884\) | 0.388673 | + | 0.282388i | 0.0130725 | + | 0.00949773i | ||||
\(885\) | −3.51380 | − | 10.8144i | −0.118115 | − | 0.363521i | ||||
\(886\) | −5.97902 | − | 18.4015i | −0.200869 | − | 0.618212i | ||||
\(887\) | 24.3663 | + | 17.7031i | 0.818140 | + | 0.594413i | 0.916179 | − | 0.400769i | \(-0.131257\pi\) |
−0.0980394 | + | 0.995183i | \(0.531257\pi\) | |||||||
\(888\) | −1.64961 | + | 1.19851i | −0.0553573 | + | 0.0402194i | ||||
\(889\) | −3.91610 | + | 12.0525i | −0.131342 | + | 0.404228i | ||||
\(890\) | −1.74164 | −0.0583800 | ||||||||
\(891\) | 5.77254 | − | 4.51556i | 0.193387 | − | 0.151277i | ||||
\(892\) | −3.97800 | −0.133193 | ||||||||
\(893\) | −0.287737 | + | 0.885562i | −0.00962874 | + | 0.0296342i | ||||
\(894\) | −16.9092 | + | 12.2852i | −0.565528 | + | 0.410880i | ||||
\(895\) | −8.99896 | − | 6.53813i | −0.300802 | − | 0.218546i | ||||
\(896\) | −0.309017 | − | 0.951057i | −0.0103235 | − | 0.0317726i | ||||
\(897\) | 1.98391 | + | 6.10583i | 0.0662407 | + | 0.203868i | ||||
\(898\) | −26.8052 | − | 19.4751i | −0.894502 | − | 0.649894i | ||||
\(899\) | −76.7217 | + | 55.7415i | −2.55881 | + | 1.85908i | ||||
\(900\) | −0.465597 | + | 1.43296i | −0.0155199 | + | 0.0477653i | ||||
\(901\) | −0.192141 | −0.00640114 | ||||||||
\(902\) | −40.3935 | + | 1.43474i | −1.34496 | + | 0.0477716i | ||||
\(903\) | 13.0339 | 0.433742 | ||||||||
\(904\) | −2.75395 | + | 8.47578i | −0.0915949 | + | 0.281900i | ||||
\(905\) | 7.74752 | − | 5.62890i | 0.257536 | − | 0.187111i | ||||
\(906\) | −3.17617 | − | 2.30762i | −0.105521 | − | 0.0766656i | ||||
\(907\) | −15.3239 | − | 47.1621i | −0.508821 | − | 1.56599i | −0.794250 | − | 0.607591i | \(-0.792136\pi\) |
0.285429 | − | 0.958400i | \(-0.407864\pi\) | |||||||
\(908\) | 6.71640 | + | 20.6710i | 0.222892 | + | 0.685990i | ||||
\(909\) | 15.3359 | + | 11.1422i | 0.508660 | + | 0.369563i | ||||
\(910\) | −2.81389 | + | 2.04441i | −0.0932796 | + | 0.0677716i | ||||
\(911\) | −15.9361 | + | 49.0463i | −0.527987 | + | 1.62498i | 0.230346 | + | 0.973109i | \(0.426014\pi\) |
−0.758333 | + | 0.651868i | \(0.773986\pi\) | |||||||
\(912\) | 0.629719 | 0.0208521 | ||||||||
\(913\) | 7.30641 | − | 0.259517i | 0.241807 | − | 0.00858876i | ||||
\(914\) | −12.6845 | −0.419567 | ||||||||
\(915\) | −5.10612 | + | 15.7150i | −0.168803 | + | 0.519522i | ||||
\(916\) | −1.33179 | + | 0.967601i | −0.0440035 | + | 0.0319704i | ||||
\(917\) | 12.2564 | + | 8.90478i | 0.404741 | + | 0.294062i | ||||
\(918\) | 0.235067 | + | 0.723462i | 0.00775837 | + | 0.0238778i | ||||
\(919\) | 9.00321 | + | 27.7090i | 0.296988 | + | 0.914037i | 0.982546 | + | 0.186018i | \(0.0595584\pi\) |
−0.685558 | + | 0.728018i | \(0.740442\pi\) | |||||||
\(920\) | 1.22201 | + | 0.887839i | 0.0402883 | + | 0.0292712i | ||||
\(921\) | 20.3992 | − | 14.8209i | 0.672177 | − | 0.488365i | ||||
\(922\) | 6.01399 | − | 18.5092i | 0.198060 | − | 0.609567i | ||||
\(923\) | −22.2329 | −0.731804 | ||||||||
\(924\) | 3.19226 | − | 2.49714i | 0.105018 | − | 0.0821500i | ||||
\(925\) | 1.66859 | 0.0548630 | ||||||||
\(926\) | 9.15929 | − | 28.1894i | 0.300993 | − | 0.926361i | ||||
\(927\) | −3.63820 | + | 2.64331i | −0.119494 | + | 0.0868176i | ||||
\(928\) | −7.47582 | − | 5.43150i | −0.245406 | − | 0.178298i | ||||
\(929\) | −13.9133 | − | 42.8208i | −0.456481 | − | 1.40490i | −0.869388 | − | 0.494130i | \(-0.835487\pi\) |
0.412907 | − | 0.910773i | \(-0.364513\pi\) | |||||||
\(930\) | −3.87538 | − | 11.9272i | −0.127079 | − | 0.391108i | ||||
\(931\) | −0.416899 | − | 0.302895i | −0.0136633 | − | 0.00992698i | ||||
\(932\) | 0.903264 | − | 0.656260i | 0.0295874 | − | 0.0214965i | ||||
\(933\) | −7.64151 | + | 23.5181i | −0.250172 | + | 0.769950i | ||||
\(934\) | 26.8009 | 0.876953 | ||||||||
\(935\) | 0.156941 | + | 0.430393i | 0.00513253 | + | 0.0140753i | ||||
\(936\) | −5.24056 | −0.171293 | ||||||||
\(937\) | −2.13172 | + | 6.56074i | −0.0696401 | + | 0.214330i | −0.979820 | − | 0.199884i | \(-0.935944\pi\) |
0.910179 | + | 0.414214i | \(0.135944\pi\) | |||||||
\(938\) | −1.49651 | + | 1.08728i | −0.0488628 | + | 0.0355009i | ||||
\(939\) | 4.35769 | + | 3.16605i | 0.142208 | + | 0.103320i | ||||
\(940\) | 0.558370 | + | 1.71848i | 0.0182120 | + | 0.0560508i | ||||
\(941\) | −2.12907 | − | 6.55261i | −0.0694057 | − | 0.213609i | 0.910338 | − | 0.413867i | \(-0.135822\pi\) |
−0.979743 | + | 0.200258i | \(0.935822\pi\) | |||||||
\(942\) | −2.71697 | − | 1.97400i | −0.0885238 | − | 0.0643163i | ||||
\(943\) | 14.8923 | − | 10.8199i | 0.484961 | − | 0.352345i | ||||
\(944\) | 2.87544 | − | 8.84969i | 0.0935876 | − | 0.288033i | ||||
\(945\) | −5.50722 | −0.179150 | ||||||||
\(946\) | 29.3392 | + | 19.7640i | 0.953899 | + | 0.642584i | ||||
\(947\) | 34.2294 | 1.11231 | 0.556154 | − | 0.831079i | \(-0.312277\pi\) | ||||
0.556154 | + | 0.831079i | \(0.312277\pi\) | |||||||
\(948\) | 3.77120 | − | 11.6066i | 0.122483 | − | 0.376964i | ||||
\(949\) | 31.1355 | − | 22.6212i | 1.01070 | − | 0.734316i | ||||
\(950\) | −0.416899 | − | 0.302895i | −0.0135260 | − | 0.00982721i | ||||
\(951\) | 9.81744 | + | 30.2150i | 0.318352 | + | 0.979787i | ||||
\(952\) | 0.0426835 | + | 0.131366i | 0.00138338 | + | 0.00425760i | ||||
\(953\) | −46.8471 | − | 34.0364i | −1.51753 | − | 1.10255i | −0.962696 | − | 0.270584i | \(-0.912783\pi\) |
−0.554830 | − | 0.831963i | \(-0.687217\pi\) | |||||||
\(954\) | 1.69562 | − | 1.23194i | 0.0548976 | − | 0.0398854i | ||||
\(955\) | −3.02806 | + | 9.31940i | −0.0979856 | + | 0.301569i | ||||
\(956\) | 17.3118 | 0.559903 | ||||||||
\(957\) | 10.3016 | − | 36.0070i | 0.333002 | − | 1.16394i | ||||
\(958\) | 13.3413 | 0.431039 | ||||||||
\(959\) | −6.76301 | + | 20.8144i | −0.218389 | + | 0.672132i | ||||
\(960\) | 0.988623 | − | 0.718277i | 0.0319077 | − | 0.0231823i | ||||
\(961\) | −60.1276 | − | 43.6853i | −1.93960 | − | 1.40920i | ||||
\(962\) | 1.79342 | + | 5.51958i | 0.0578222 | + | 0.177959i | ||||
\(963\) | −6.18204 | − | 19.0264i | −0.199213 | − | 0.613116i | ||||
\(964\) | 19.2161 | + | 13.9613i | 0.618910 | + | 0.449664i | ||||
\(965\) | 11.6913 | − | 8.49422i | 0.376356 | − | 0.273439i | ||||
\(966\) | −0.570389 | + | 1.75548i | −0.0183520 | + | 0.0564815i | ||||
\(967\) | 39.7063 | 1.27687 | 0.638435 | − | 0.769676i | \(-0.279582\pi\) | ||||
0.638435 | + | 0.769676i | \(0.279582\pi\) | |||||||
\(968\) | 10.9723 | − | 0.780435i | 0.352662 | − | 0.0250841i | ||||
\(969\) | −0.0869809 | −0.00279423 | ||||||||
\(970\) | 1.36299 | − | 4.19486i | 0.0437631 | − | 0.134689i | ||||
\(971\) | 6.17435 | − | 4.48593i | 0.198144 | − | 0.143960i | −0.484289 | − | 0.874908i | \(-0.660922\pi\) |
0.682433 | + | 0.730948i | \(0.260922\pi\) | |||||||
\(972\) | −11.1817 | − | 8.12397i | −0.358653 | − | 0.260577i | ||||
\(973\) | −0.764415 | − | 2.35263i | −0.0245060 | − | 0.0754218i | ||||
\(974\) | −4.13210 | − | 12.7173i | −0.132401 | − | 0.407488i | ||||
\(975\) | −3.43859 | − | 2.49828i | −0.110123 | − | 0.0800091i | ||||
\(976\) | −10.9394 | + | 7.94793i | −0.350161 | + | 0.254407i | ||||
\(977\) | 4.61353 | − | 14.1990i | 0.147600 | − | 0.454265i | −0.849736 | − | 0.527208i | \(-0.823239\pi\) |
0.997336 | + | 0.0729424i | \(0.0232389\pi\) | |||||||
\(978\) | −15.2996 | −0.489228 | ||||||||
\(979\) | 1.58887 | − | 5.55356i | 0.0507804 | − | 0.177493i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | −0.234075 | + | 0.720408i | −0.00747343 | + | 0.0230008i | ||||
\(982\) | −21.0112 | + | 15.2655i | −0.670494 | + | 0.487142i | ||||
\(983\) | −1.04243 | − | 0.757367i | −0.0332482 | − | 0.0241562i | 0.571037 | − | 0.820924i | \(-0.306541\pi\) |
−0.604285 | + | 0.796768i | \(0.706541\pi\) | |||||||
\(984\) | −4.60198 | − | 14.1634i | −0.146706 | − | 0.451514i | ||||
\(985\) | −7.01314 | − | 21.5842i | −0.223457 | − | 0.687730i | ||||
\(986\) | 1.03261 | + | 0.750235i | 0.0328850 | + | 0.0238923i | ||||
\(987\) | −1.78637 | + | 1.29787i | −0.0568606 | + | 0.0413117i | ||||
\(988\) | 0.553867 | − | 1.70463i | 0.0176209 | − | 0.0542314i | ||||
\(989\) | −16.1108 | −0.512295 | ||||||||
\(990\) | −4.14451 | − | 2.79190i | −0.131721 | − | 0.0887325i | ||||
\(991\) | 30.8872 | 0.981163 | 0.490582 | − | 0.871395i | \(-0.336784\pi\) | ||||
0.490582 | + | 0.871395i | \(0.336784\pi\) | |||||||
\(992\) | 3.17133 | − | 9.76035i | 0.100690 | − | 0.309891i | ||||
\(993\) | 19.5964 | − | 14.2376i | 0.621872 | − | 0.451817i | ||||
\(994\) | −5.17134 | − | 3.75720i | −0.164025 | − | 0.119171i | ||||
\(995\) | −2.91679 | − | 8.97696i | −0.0924685 | − | 0.284589i | ||||
\(996\) | 0.832410 | + | 2.56189i | 0.0263759 | + | 0.0811767i | ||||
\(997\) | 36.3419 | + | 26.4039i | 1.15096 | + | 0.836221i | 0.988608 | − | 0.150512i | \(-0.0480921\pi\) |
0.162352 | + | 0.986733i | \(0.448092\pi\) | |||||||
\(998\) | 18.2729 | − | 13.2761i | 0.578419 | − | 0.420246i | ||||
\(999\) | −2.83965 | + | 8.73954i | −0.0898425 | + | 0.276507i |
(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 | 770.2.n.k.141.2 | yes | 16 | |
11.4 | even | 5 | 8470.2.a.dh.1.6 | 8 | |||
11.5 | even | 5 | inner | 770.2.n.k.71.2 | ✓ | 16 | |
11.7 | odd | 10 | 8470.2.a.dg.1.6 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.k.71.2 | ✓ | 16 | 11.5 | even | 5 | inner | |
770.2.n.k.141.2 | yes | 16 | 1.1 | even | 1 | trivial | |
8470.2.a.dg.1.6 | 8 | 11.7 | odd | 10 | |||
8470.2.a.dh.1.6 | 8 | 11.4 | even | 5 |