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: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 7 x^{10} - 9 x^{9} + 55 x^{8} - 32 x^{7} + 287 x^{6} - 302 x^{5} + 1175 x^{4} + \cdots + 361 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 141.2 | ||
Root | \(0.609000 + 0.442464i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.141 |
Dual form | 770.2.n.h.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 | ||||
\(3\) | 0.200017 | − | 0.145321i | 0.115480 | − | 0.0839011i | −0.528546 | − | 0.848904i | \(-0.677263\pi\) |
0.644026 | + | 0.765003i | \(0.277263\pi\) | |||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.309017 | − | 0.951057i | −0.138197 | − | 0.425325i | ||||
\(6\) | −0.0763997 | − | 0.235134i | −0.0311901 | − | 0.0959931i | ||||
\(7\) | −0.809017 | − | 0.587785i | −0.305780 | − | 0.222162i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | −0.908162 | + | 2.79504i | −0.302721 | + | 0.931679i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −3.26734 | − | 0.569637i | −0.985140 | − | 0.171752i | ||||
\(12\) | −0.247235 | −0.0713705 | ||||||||
\(13\) | 0.875876 | − | 2.69567i | 0.242924 | − | 0.747644i | −0.753047 | − | 0.657967i | \(-0.771417\pi\) |
0.995971 | − | 0.0896767i | \(-0.0285834\pi\) | |||||||
\(14\) | −0.809017 | + | 0.587785i | −0.216219 | + | 0.157092i | ||||
\(15\) | −0.200017 | − | 0.145321i | −0.0516442 | − | 0.0375217i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −1.78163 | − | 5.48331i | −0.432110 | − | 1.32990i | −0.896020 | − | 0.444015i | \(-0.853554\pi\) |
0.463910 | − | 0.885882i | \(-0.346446\pi\) | |||||||
\(18\) | 2.37760 | + | 1.72743i | 0.560406 | + | 0.407159i | ||||
\(19\) | −2.96862 | + | 2.15683i | −0.681047 | + | 0.494810i | −0.873705 | − | 0.486456i | \(-0.838289\pi\) |
0.192658 | + | 0.981266i | \(0.438289\pi\) | |||||||
\(20\) | −0.309017 | + | 0.951057i | −0.0690983 | + | 0.212663i | ||||
\(21\) | −0.247235 | −0.0539510 | ||||||||
\(22\) | −1.55142 | + | 2.93140i | −0.330764 | + | 0.624976i | ||||
\(23\) | −7.17432 | −1.49595 | −0.747974 | − | 0.663728i | \(-0.768973\pi\) | ||||
−0.747974 | + | 0.663728i | \(0.768973\pi\) | |||||||
\(24\) | −0.0763997 | + | 0.235134i | −0.0155950 | + | 0.0479966i | ||||
\(25\) | −0.809017 | + | 0.587785i | −0.161803 | + | 0.117557i | ||||
\(26\) | −2.29307 | − | 1.66601i | −0.449708 | − | 0.326732i | ||||
\(27\) | 0.453728 | + | 1.39643i | 0.0873201 | + | 0.268744i | ||||
\(28\) | 0.309017 | + | 0.951057i | 0.0583987 | + | 0.179733i | ||||
\(29\) | −1.14498 | − | 0.831879i | −0.212618 | − | 0.154476i | 0.476379 | − | 0.879240i | \(-0.341949\pi\) |
−0.688997 | + | 0.724764i | \(0.741949\pi\) | |||||||
\(30\) | −0.200017 | + | 0.145321i | −0.0365179 | + | 0.0265318i | ||||
\(31\) | −0.110144 | + | 0.338990i | −0.0197825 | + | 0.0608843i | −0.960460 | − | 0.278416i | \(-0.910190\pi\) |
0.940678 | + | 0.339301i | \(0.110190\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −0.736304 | + | 0.360876i | −0.128174 | + | 0.0628204i | ||||
\(34\) | −5.76549 | −0.988773 | ||||||||
\(35\) | −0.309017 | + | 0.951057i | −0.0522334 | + | 0.160758i | ||||
\(36\) | 2.37760 | − | 1.72743i | 0.396267 | − | 0.287905i | ||||
\(37\) | −2.38460 | − | 1.73251i | −0.392025 | − | 0.284823i | 0.374260 | − | 0.927324i | \(-0.377897\pi\) |
−0.766285 | + | 0.642501i | \(0.777897\pi\) | |||||||
\(38\) | 1.13391 | + | 3.48982i | 0.183945 | + | 0.566123i | ||||
\(39\) | −0.216547 | − | 0.666462i | −0.0346752 | − | 0.106719i | ||||
\(40\) | 0.809017 | + | 0.587785i | 0.127917 | + | 0.0929370i | ||||
\(41\) | −1.80069 | + | 1.30828i | −0.281221 | + | 0.204319i | −0.719450 | − | 0.694544i | \(-0.755606\pi\) |
0.438229 | + | 0.898863i | \(0.355606\pi\) | |||||||
\(42\) | −0.0763997 | + | 0.235134i | −0.0117887 | + | 0.0362820i | ||||
\(43\) | 9.64018 | 1.47011 | 0.735057 | − | 0.678006i | \(-0.237156\pi\) | ||||
0.735057 | + | 0.678006i | \(0.237156\pi\) | |||||||
\(44\) | 2.30851 | + | 2.38134i | 0.348021 | + | 0.359001i | ||||
\(45\) | 2.93888 | 0.438102 | ||||||||
\(46\) | −2.21699 | + | 6.82318i | −0.326877 | + | 1.00602i | ||||
\(47\) | −2.53720 | + | 1.84338i | −0.370089 | + | 0.268885i | −0.757248 | − | 0.653128i | \(-0.773456\pi\) |
0.387159 | + | 0.922013i | \(0.373456\pi\) | |||||||
\(48\) | 0.200017 | + | 0.145321i | 0.0288700 | + | 0.0209753i | ||||
\(49\) | 0.309017 | + | 0.951057i | 0.0441453 | + | 0.135865i | ||||
\(50\) | 0.309017 | + | 0.951057i | 0.0437016 | + | 0.134500i | ||||
\(51\) | −1.15320 | − | 0.837846i | −0.161480 | − | 0.117322i | ||||
\(52\) | −2.29307 | + | 1.66601i | −0.317992 | + | 0.231035i | ||||
\(53\) | 0.270126 | − | 0.831363i | 0.0371047 | − | 0.114196i | −0.930789 | − | 0.365558i | \(-0.880878\pi\) |
0.967893 | + | 0.251361i | \(0.0808783\pi\) | |||||||
\(54\) | 1.46830 | 0.199810 | ||||||||
\(55\) | 0.467907 | + | 3.28345i | 0.0630926 | + | 0.442741i | ||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | −0.280342 | + | 0.862804i | −0.0371322 | + | 0.114281i | ||||
\(58\) | −1.14498 | + | 0.831879i | −0.150344 | + | 0.109231i | ||||
\(59\) | 8.49158 | + | 6.16949i | 1.10551 | + | 0.803200i | 0.981951 | − | 0.189137i | \(-0.0605692\pi\) |
0.123559 | + | 0.992337i | \(0.460569\pi\) | |||||||
\(60\) | 0.0763997 | + | 0.235134i | 0.00986316 | + | 0.0303557i | ||||
\(61\) | −2.84337 | − | 8.75101i | −0.364057 | − | 1.12045i | −0.950570 | − | 0.310512i | \(-0.899500\pi\) |
0.586513 | − | 0.809940i | \(-0.300500\pi\) | |||||||
\(62\) | 0.288362 | + | 0.209507i | 0.0366220 | + | 0.0266074i | ||||
\(63\) | 2.37760 | − | 1.72743i | 0.299549 | − | 0.217635i | ||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −2.83439 | −0.351563 | ||||||||
\(66\) | 0.115683 | + | 0.811783i | 0.0142396 | + | 0.0999236i | ||||
\(67\) | −13.5466 | −1.65498 | −0.827492 | − | 0.561478i | \(-0.810233\pi\) | ||||
−0.827492 | + | 0.561478i | \(0.810233\pi\) | |||||||
\(68\) | −1.78163 | + | 5.48331i | −0.216055 | + | 0.664948i | ||||
\(69\) | −1.43499 | + | 1.04258i | −0.172752 | + | 0.125512i | ||||
\(70\) | 0.809017 | + | 0.587785i | 0.0966960 | + | 0.0702538i | ||||
\(71\) | −3.86699 | − | 11.9014i | −0.458928 | − | 1.41243i | −0.866461 | − | 0.499244i | \(-0.833611\pi\) |
0.407534 | − | 0.913190i | \(-0.366389\pi\) | |||||||
\(72\) | −0.908162 | − | 2.79504i | −0.107028 | − | 0.329398i | ||||
\(73\) | 5.82359 | + | 4.23109i | 0.681600 | + | 0.495211i | 0.873888 | − | 0.486127i | \(-0.161591\pi\) |
−0.192288 | + | 0.981339i | \(0.561591\pi\) | |||||||
\(74\) | −2.38460 | + | 1.73251i | −0.277204 | + | 0.201400i | ||||
\(75\) | −0.0763997 | + | 0.235134i | −0.00882188 | + | 0.0271510i | ||||
\(76\) | 3.66941 | 0.420910 | ||||||||
\(77\) | 2.30851 | + | 2.38134i | 0.263079 | + | 0.271379i | ||||
\(78\) | −0.700760 | −0.0793455 | ||||||||
\(79\) | 1.89893 | − | 5.84432i | 0.213647 | − | 0.657537i | −0.785600 | − | 0.618735i | \(-0.787646\pi\) |
0.999247 | − | 0.0388027i | \(-0.0123544\pi\) | |||||||
\(80\) | 0.809017 | − | 0.587785i | 0.0904508 | − | 0.0657164i | ||||
\(81\) | −6.83912 | − | 4.96891i | −0.759902 | − | 0.552101i | ||||
\(82\) | 0.687804 | + | 2.11684i | 0.0759552 | + | 0.233766i | ||||
\(83\) | 0.952443 | + | 2.93132i | 0.104544 | + | 0.321754i | 0.989623 | − | 0.143687i | \(-0.0458958\pi\) |
−0.885079 | + | 0.465441i | \(0.845896\pi\) | |||||||
\(84\) | 0.200017 | + | 0.145321i | 0.0218236 | + | 0.0158558i | ||||
\(85\) | −4.66438 | + | 3.38887i | −0.505923 | + | 0.367574i | ||||
\(86\) | 2.97898 | − | 9.16835i | 0.321232 | − | 0.988649i | ||||
\(87\) | −0.349905 | −0.0375138 | ||||||||
\(88\) | 2.97816 | − | 1.45965i | 0.317473 | − | 0.155599i | ||||
\(89\) | −5.75443 | −0.609968 | −0.304984 | − | 0.952357i | \(-0.598651\pi\) | ||||
−0.304984 | + | 0.952357i | \(0.598651\pi\) | |||||||
\(90\) | 0.908162 | − | 2.79504i | 0.0957287 | − | 0.294623i | ||||
\(91\) | −2.29307 | + | 1.66601i | −0.240379 | + | 0.174646i | ||||
\(92\) | 5.80414 | + | 4.21696i | 0.605124 | + | 0.439648i | ||||
\(93\) | 0.0272315 | + | 0.0838100i | 0.00282378 | + | 0.00869069i | ||||
\(94\) | 0.969124 | + | 2.98266i | 0.0999575 | + | 0.307638i | ||||
\(95\) | 2.96862 | + | 2.15683i | 0.304574 | + | 0.221286i | ||||
\(96\) | 0.200017 | − | 0.145321i | 0.0204142 | − | 0.0148318i | ||||
\(97\) | 3.87129 | − | 11.9146i | 0.393070 | − | 1.20975i | −0.537384 | − | 0.843337i | \(-0.680588\pi\) |
0.930454 | − | 0.366408i | \(-0.119412\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 4.55943 | − | 8.61501i | 0.458240 | − | 0.865841i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | −1.82358 | + | 5.61241i | −0.181453 | + | 0.558455i | −0.999869 | − | 0.0161707i | \(-0.994852\pi\) |
0.818416 | + | 0.574626i | \(0.194852\pi\) | |||||||
\(102\) | −1.15320 | + | 0.837846i | −0.114183 | + | 0.0829591i | ||||
\(103\) | 9.68158 | + | 7.03408i | 0.953955 | + | 0.693089i | 0.951739 | − | 0.306909i | \(-0.0992947\pi\) |
0.00221586 | + | 0.999998i | \(0.499295\pi\) | |||||||
\(104\) | 0.875876 | + | 2.69567i | 0.0858867 | + | 0.264332i | ||||
\(105\) | 0.0763997 | + | 0.235134i | 0.00745585 | + | 0.0229467i | ||||
\(106\) | −0.707199 | − | 0.513810i | −0.0686893 | − | 0.0499057i | ||||
\(107\) | 5.08787 | − | 3.69655i | 0.491863 | − | 0.357359i | −0.314037 | − | 0.949411i | \(-0.601682\pi\) |
0.805900 | + | 0.592051i | \(0.201682\pi\) | |||||||
\(108\) | 0.453728 | − | 1.39643i | 0.0436600 | − | 0.134372i | ||||
\(109\) | −3.42125 | −0.327696 | −0.163848 | − | 0.986486i | \(-0.552391\pi\) | ||||
−0.163848 | + | 0.986486i | \(0.552391\pi\) | |||||||
\(110\) | 3.26734 | + | 0.569637i | 0.311529 | + | 0.0543127i | ||||
\(111\) | −0.728730 | −0.0691680 | ||||||||
\(112\) | 0.309017 | − | 0.951057i | 0.0291994 | − | 0.0898664i | ||||
\(113\) | 13.6095 | − | 9.88788i | 1.28027 | − | 0.930174i | 0.280713 | − | 0.959792i | \(-0.409429\pi\) |
0.999561 | + | 0.0296178i | \(0.00942903\pi\) | |||||||
\(114\) | 0.733945 | + | 0.533242i | 0.0687402 | + | 0.0499427i | ||||
\(115\) | 2.21699 | + | 6.82318i | 0.206735 | + | 0.636265i | ||||
\(116\) | 0.437344 | + | 1.34601i | 0.0406064 | + | 0.124974i | ||||
\(117\) | 6.73905 | + | 4.89621i | 0.623026 | + | 0.452655i | ||||
\(118\) | 8.49158 | − | 6.16949i | 0.781713 | − | 0.567948i | ||||
\(119\) | −1.78163 | + | 5.48331i | −0.163322 | + | 0.502654i | ||||
\(120\) | 0.247235 | 0.0225693 | ||||||||
\(121\) | 10.3510 | + | 3.72240i | 0.941003 | + | 0.338400i | ||||
\(122\) | −9.20135 | −0.833051 | ||||||||
\(123\) | −0.170049 | + | 0.523357i | −0.0153328 | + | 0.0471895i | ||||
\(124\) | 0.288362 | − | 0.209507i | 0.0258957 | − | 0.0188143i | ||||
\(125\) | 0.809017 | + | 0.587785i | 0.0723607 | + | 0.0525731i | ||||
\(126\) | −0.908162 | − | 2.79504i | −0.0809055 | − | 0.249002i | ||||
\(127\) | 0.0543127 | + | 0.167157i | 0.00481947 | + | 0.0148328i | 0.953437 | − | 0.301591i | \(-0.0975178\pi\) |
−0.948618 | + | 0.316424i | \(0.897518\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 1.92820 | − | 1.40092i | 0.169769 | − | 0.123344i | ||||
\(130\) | −0.875876 | + | 2.69567i | −0.0768194 | + | 0.236426i | ||||
\(131\) | −11.4391 | −0.999438 | −0.499719 | − | 0.866187i | \(-0.666563\pi\) | ||||
−0.499719 | + | 0.866187i | \(0.666563\pi\) | |||||||
\(132\) | 0.807800 | + | 0.140834i | 0.0703100 | + | 0.0122580i | ||||
\(133\) | 3.66941 | 0.318178 | ||||||||
\(134\) | −4.18614 | + | 12.8836i | −0.361627 | + | 1.11297i | ||||
\(135\) | 1.18788 | − | 0.863043i | 0.102236 | − | 0.0742789i | ||||
\(136\) | 4.66438 | + | 3.38887i | 0.399967 | + | 0.290593i | ||||
\(137\) | −3.07577 | − | 9.46626i | −0.262781 | − | 0.808757i | −0.992196 | − | 0.124686i | \(-0.960208\pi\) |
0.729415 | − | 0.684071i | \(-0.239792\pi\) | |||||||
\(138\) | 0.548116 | + | 1.68693i | 0.0466587 | + | 0.143601i | ||||
\(139\) | 0.507435 | + | 0.368673i | 0.0430401 | + | 0.0312705i | 0.609097 | − | 0.793095i | \(-0.291532\pi\) |
−0.566057 | + | 0.824366i | \(0.691532\pi\) | |||||||
\(140\) | 0.809017 | − | 0.587785i | 0.0683744 | − | 0.0496769i | ||||
\(141\) | −0.239601 | + | 0.737416i | −0.0201780 | + | 0.0621017i | ||||
\(142\) | −12.5139 | −1.05014 | ||||||||
\(143\) | −4.39734 | + | 8.30873i | −0.367724 | + | 0.694811i | ||||
\(144\) | −2.93888 | −0.244906 | ||||||||
\(145\) | −0.437344 | + | 1.34601i | −0.0363195 | + | 0.111780i | ||||
\(146\) | 5.82359 | − | 4.23109i | 0.481964 | − | 0.350167i | ||||
\(147\) | 0.200017 | + | 0.145321i | 0.0164971 | + | 0.0119859i | ||||
\(148\) | 0.910835 | + | 2.80326i | 0.0748701 | + | 0.230427i | ||||
\(149\) | −4.64498 | − | 14.2958i | −0.380532 | − | 1.17116i | −0.939670 | − | 0.342082i | \(-0.888868\pi\) |
0.559139 | − | 0.829074i | \(-0.311132\pi\) | |||||||
\(150\) | 0.200017 | + | 0.145321i | 0.0163313 | + | 0.0118654i | ||||
\(151\) | −0.417831 | + | 0.303572i | −0.0340026 | + | 0.0247043i | −0.604657 | − | 0.796486i | \(-0.706690\pi\) |
0.570654 | + | 0.821191i | \(0.306690\pi\) | |||||||
\(152\) | 1.13391 | − | 3.48982i | 0.0919723 | − | 0.283062i | ||||
\(153\) | 16.9441 | 1.36985 | ||||||||
\(154\) | 2.97816 | − | 1.45965i | 0.239987 | − | 0.117622i | ||||
\(155\) | 0.356435 | 0.0286295 | ||||||||
\(156\) | −0.216547 | + | 0.666462i | −0.0173376 | + | 0.0533597i | ||||
\(157\) | 18.4280 | − | 13.3887i | 1.47071 | − | 1.06853i | 0.490304 | − | 0.871552i | \(-0.336886\pi\) |
0.980407 | − | 0.196982i | \(-0.0631141\pi\) | |||||||
\(158\) | −4.97148 | − | 3.61199i | −0.395509 | − | 0.287354i | ||||
\(159\) | −0.0667845 | − | 0.205542i | −0.00529636 | − | 0.0163005i | ||||
\(160\) | −0.309017 | − | 0.951057i | −0.0244299 | − | 0.0751876i | ||||
\(161\) | 5.80414 | + | 4.21696i | 0.457431 | + | 0.332343i | ||||
\(162\) | −6.83912 | + | 4.96891i | −0.537332 | + | 0.390394i | ||||
\(163\) | 1.15063 | − | 3.54129i | 0.0901246 | − | 0.277375i | −0.895828 | − | 0.444401i | \(-0.853416\pi\) |
0.985952 | + | 0.167026i | \(0.0534164\pi\) | |||||||
\(164\) | 2.22578 | 0.173804 | ||||||||
\(165\) | 0.570744 | + | 0.588750i | 0.0444323 | + | 0.0458341i | ||||
\(166\) | 3.08217 | 0.239223 | ||||||||
\(167\) | 4.81526 | − | 14.8199i | 0.372616 | − | 1.14680i | −0.572456 | − | 0.819935i | \(-0.694009\pi\) |
0.945073 | − | 0.326860i | \(-0.105991\pi\) | |||||||
\(168\) | 0.200017 | − | 0.145321i | 0.0154316 | − | 0.0112117i | ||||
\(169\) | 4.01775 | + | 2.91907i | 0.309058 | + | 0.224544i | ||||
\(170\) | 1.78163 | + | 5.48331i | 0.136645 | + | 0.420550i | ||||
\(171\) | −3.33242 | − | 10.2561i | −0.254837 | − | 0.784307i | ||||
\(172\) | −7.79907 | − | 5.66635i | −0.594673 | − | 0.432055i | ||||
\(173\) | −4.77281 | + | 3.46765i | −0.362870 | + | 0.263641i | −0.754248 | − | 0.656589i | \(-0.771998\pi\) |
0.391378 | + | 0.920230i | \(0.371998\pi\) | |||||||
\(174\) | −0.108127 | + | 0.332780i | −0.00819706 | + | 0.0252280i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | −0.467907 | − | 3.28345i | −0.0352698 | − | 0.247500i | ||||
\(177\) | 2.59502 | 0.195053 | ||||||||
\(178\) | −1.77822 | + | 5.47279i | −0.133283 | + | 0.410203i | ||||
\(179\) | −13.2131 | + | 9.59989i | −0.987595 | + | 0.717529i | −0.959393 | − | 0.282073i | \(-0.908978\pi\) |
−0.0282016 | + | 0.999602i | \(0.508978\pi\) | |||||||
\(180\) | −2.37760 | − | 1.72743i | −0.177216 | − | 0.128755i | ||||
\(181\) | −1.07727 | − | 3.31548i | −0.0800725 | − | 0.246438i | 0.903004 | − | 0.429631i | \(-0.141356\pi\) |
−0.983077 | + | 0.183194i | \(0.941356\pi\) | |||||||
\(182\) | 0.875876 | + | 2.69567i | 0.0649242 | + | 0.199816i | ||||
\(183\) | −1.84043 | − | 1.33715i | −0.136048 | − | 0.0988449i | ||||
\(184\) | 5.80414 | − | 4.21696i | 0.427887 | − | 0.310878i | ||||
\(185\) | −0.910835 | + | 2.80326i | −0.0669659 | + | 0.206100i | ||||
\(186\) | 0.0881230 | 0.00646149 | ||||||||
\(187\) | 2.69771 | + | 18.9307i | 0.197276 | + | 1.38435i | ||||
\(188\) | 3.13615 | 0.228727 | ||||||||
\(189\) | 0.453728 | − | 1.39643i | 0.0330039 | − | 0.101576i | ||||
\(190\) | 2.96862 | − | 2.15683i | 0.215366 | − | 0.156473i | ||||
\(191\) | −21.0104 | − | 15.2649i | −1.52026 | − | 1.10453i | −0.961359 | − | 0.275298i | \(-0.911223\pi\) |
−0.558900 | − | 0.829235i | \(-0.688777\pi\) | |||||||
\(192\) | −0.0763997 | − | 0.235134i | −0.00551367 | − | 0.0169693i | ||||
\(193\) | −0.209360 | − | 0.644343i | −0.0150700 | − | 0.0463808i | 0.943239 | − | 0.332116i | \(-0.107762\pi\) |
−0.958309 | + | 0.285735i | \(0.907762\pi\) | |||||||
\(194\) | −10.1352 | − | 7.36363i | −0.727663 | − | 0.528678i | ||||
\(195\) | −0.566927 | + | 0.411896i | −0.0405985 | + | 0.0294965i | ||||
\(196\) | 0.309017 | − | 0.951057i | 0.0220726 | − | 0.0679326i | ||||
\(197\) | 5.80812 | 0.413811 | 0.206906 | − | 0.978361i | \(-0.433661\pi\) | ||||
0.206906 | + | 0.978361i | \(0.433661\pi\) | |||||||
\(198\) | −6.78442 | − | 6.99846i | −0.482148 | − | 0.497359i | ||||
\(199\) | 10.9475 | 0.776046 | 0.388023 | − | 0.921650i | \(-0.373158\pi\) | ||||
0.388023 | + | 0.921650i | \(0.373158\pi\) | |||||||
\(200\) | 0.309017 | − | 0.951057i | 0.0218508 | − | 0.0672499i | ||||
\(201\) | −2.70955 | + | 1.96861i | −0.191117 | + | 0.138855i | ||||
\(202\) | 4.77420 | + | 3.46866i | 0.335911 | + | 0.244054i | ||||
\(203\) | 0.437344 | + | 1.34601i | 0.0306956 | + | 0.0944712i | ||||
\(204\) | 0.440482 | + | 1.35566i | 0.0308399 | + | 0.0949154i | ||||
\(205\) | 1.80069 | + | 1.30828i | 0.125766 | + | 0.0913742i | ||||
\(206\) | 9.68158 | − | 7.03408i | 0.674548 | − | 0.490088i | ||||
\(207\) | 6.51544 | − | 20.0525i | 0.452855 | − | 1.39374i | ||||
\(208\) | 2.83439 | 0.196530 | ||||||||
\(209\) | 10.9281 | − | 5.35605i | 0.755912 | − | 0.370486i | ||||
\(210\) | 0.247235 | 0.0170608 | ||||||||
\(211\) | −1.98632 | + | 6.11326i | −0.136744 | + | 0.420854i | −0.995857 | − | 0.0909311i | \(-0.971016\pi\) |
0.859113 | + | 0.511785i | \(0.171016\pi\) | |||||||
\(212\) | −0.707199 | + | 0.513810i | −0.0485706 | + | 0.0352886i | ||||
\(213\) | −2.50298 | − | 1.81852i | −0.171502 | − | 0.124603i | ||||
\(214\) | −1.94339 | − | 5.98115i | −0.132848 | − | 0.408863i | ||||
\(215\) | −2.97898 | − | 9.16835i | −0.203165 | − | 0.625277i | ||||
\(216\) | −1.18788 | − | 0.863043i | −0.0808247 | − | 0.0587226i | ||||
\(217\) | 0.288362 | − | 0.209507i | 0.0195753 | − | 0.0142223i | ||||
\(218\) | −1.05722 | + | 3.25380i | −0.0716042 | + | 0.220375i | ||||
\(219\) | 1.77968 | 0.120260 | ||||||||
\(220\) | 1.55142 | − | 2.93140i | 0.104597 | − | 0.197635i | ||||
\(221\) | −16.3417 | −1.09926 | ||||||||
\(222\) | −0.225190 | + | 0.693063i | −0.0151138 | + | 0.0465154i | ||||
\(223\) | −18.7731 | + | 13.6394i | −1.25714 | + | 0.913365i | −0.998614 | − | 0.0526396i | \(-0.983237\pi\) |
−0.258525 | + | 0.966004i | \(0.583237\pi\) | |||||||
\(224\) | −0.809017 | − | 0.587785i | −0.0540547 | − | 0.0392731i | ||||
\(225\) | −0.908162 | − | 2.79504i | −0.0605442 | − | 0.186336i | ||||
\(226\) | −5.19837 | − | 15.9989i | −0.345790 | − | 1.06423i | ||||
\(227\) | 20.6878 | + | 15.0306i | 1.37310 | + | 0.997614i | 0.997488 | + | 0.0708363i | \(0.0225668\pi\) |
0.375610 | + | 0.926778i | \(0.377433\pi\) | |||||||
\(228\) | 0.733945 | − | 0.533242i | 0.0486067 | − | 0.0353148i | ||||
\(229\) | 1.24380 | − | 3.82801i | 0.0821923 | − | 0.252962i | −0.901512 | − | 0.432753i | \(-0.857542\pi\) |
0.983705 | + | 0.179791i | \(0.0575422\pi\) | |||||||
\(230\) | 7.17432 | 0.473060 | ||||||||
\(231\) | 0.807800 | + | 0.140834i | 0.0531493 | + | 0.00926620i | ||||
\(232\) | 1.41528 | 0.0929174 | ||||||||
\(233\) | −1.13632 | + | 3.49724i | −0.0744428 | + | 0.229111i | −0.981354 | − | 0.192211i | \(-0.938434\pi\) |
0.906911 | + | 0.421323i | \(0.138434\pi\) | |||||||
\(234\) | 6.73905 | − | 4.89621i | 0.440546 | − | 0.320075i | ||||
\(235\) | 2.53720 | + | 1.84338i | 0.165509 | + | 0.120249i | ||||
\(236\) | −3.24350 | − | 9.98245i | −0.211134 | − | 0.649802i | ||||
\(237\) | −0.469482 | − | 1.44492i | −0.0304962 | − | 0.0938575i | ||||
\(238\) | 4.66438 | + | 3.38887i | 0.302347 | + | 0.219668i | ||||
\(239\) | 0.885417 | − | 0.643293i | 0.0572728 | − | 0.0416112i | −0.558780 | − | 0.829316i | \(-0.688731\pi\) |
0.616053 | + | 0.787704i | \(0.288731\pi\) | |||||||
\(240\) | 0.0763997 | − | 0.235134i | 0.00493158 | − | 0.0151778i | ||||
\(241\) | 6.24902 | 0.402535 | 0.201267 | − | 0.979536i | \(-0.435494\pi\) | ||||
0.201267 | + | 0.979536i | \(0.435494\pi\) | |||||||
\(242\) | 6.73885 | − | 8.69413i | 0.433190 | − | 0.558880i | ||||
\(243\) | −6.49491 | −0.416649 | ||||||||
\(244\) | −2.84337 | + | 8.75101i | −0.182028 | + | 0.560226i | ||||
\(245\) | 0.809017 | − | 0.587785i | 0.0516862 | − | 0.0375522i | ||||
\(246\) | 0.445194 | + | 0.323452i | 0.0283845 | + | 0.0206226i | ||||
\(247\) | 3.21395 | + | 9.89152i | 0.204499 | + | 0.629382i | ||||
\(248\) | −0.110144 | − | 0.338990i | −0.00699418 | − | 0.0215259i | ||||
\(249\) | 0.616486 | + | 0.447904i | 0.0390682 | + | 0.0283847i | ||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | −5.96142 | + | 18.3474i | −0.376281 | + | 1.15808i | 0.566329 | + | 0.824179i | \(0.308363\pi\) |
−0.942610 | + | 0.333896i | \(0.891637\pi\) | |||||||
\(252\) | −2.93888 | −0.185132 | ||||||||
\(253\) | 23.4409 | + | 4.08675i | 1.47372 | + | 0.256932i | ||||
\(254\) | 0.175760 | 0.0110281 | ||||||||
\(255\) | −0.440482 | + | 1.35566i | −0.0275840 | + | 0.0848949i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −20.4409 | − | 14.8512i | −1.27507 | − | 0.926391i | −0.275675 | − | 0.961251i | \(-0.588901\pi\) |
−0.999392 | + | 0.0348601i | \(0.988901\pi\) | |||||||
\(258\) | −0.736507 | − | 2.26673i | −0.0458529 | − | 0.141121i | ||||
\(259\) | 0.910835 | + | 2.80326i | 0.0565965 | + | 0.174186i | ||||
\(260\) | 2.29307 | + | 1.66601i | 0.142210 | + | 0.103322i | ||||
\(261\) | 3.36496 | − | 2.44479i | 0.208286 | − | 0.151329i | ||||
\(262\) | −3.53487 | + | 10.8792i | −0.218385 | + | 0.672121i | ||||
\(263\) | 2.99352 | 0.184589 | 0.0922943 | − | 0.995732i | \(-0.470580\pi\) | ||||
0.0922943 | + | 0.995732i | \(0.470580\pi\) | |||||||
\(264\) | 0.383565 | − | 0.724743i | 0.0236068 | − | 0.0446049i | ||||
\(265\) | −0.874146 | −0.0536984 | ||||||||
\(266\) | 1.13391 | − | 3.48982i | 0.0695245 | − | 0.213975i | ||||
\(267\) | −1.15098 | + | 0.836239i | −0.0704390 | + | 0.0511770i | ||||
\(268\) | 10.9594 | + | 7.96250i | 0.669455 | + | 0.486387i | ||||
\(269\) | −6.95328 | − | 21.4000i | −0.423949 | − | 1.30478i | −0.903997 | − | 0.427539i | \(-0.859381\pi\) |
0.480048 | − | 0.877242i | \(-0.340619\pi\) | |||||||
\(270\) | −0.453728 | − | 1.39643i | −0.0276130 | − | 0.0849842i | ||||
\(271\) | 11.0258 | + | 8.01071i | 0.669770 | + | 0.486616i | 0.869948 | − | 0.493143i | \(-0.164152\pi\) |
−0.200178 | + | 0.979759i | \(0.564152\pi\) | |||||||
\(272\) | 4.66438 | − | 3.38887i | 0.282819 | − | 0.205480i | ||||
\(273\) | −0.216547 | + | 0.666462i | −0.0131060 | + | 0.0403361i | ||||
\(274\) | −9.95341 | −0.601307 | ||||||||
\(275\) | 2.97816 | − | 1.45965i | 0.179590 | − | 0.0880201i | ||||
\(276\) | 1.77374 | 0.106767 | ||||||||
\(277\) | −7.27627 | + | 22.3941i | −0.437189 | + | 1.34553i | 0.453638 | + | 0.891186i | \(0.350126\pi\) |
−0.890827 | + | 0.454343i | \(0.849874\pi\) | |||||||
\(278\) | 0.507435 | − | 0.368673i | 0.0304339 | − | 0.0221115i | ||||
\(279\) | −0.847459 | − | 0.615715i | −0.0507361 | − | 0.0368619i | ||||
\(280\) | −0.309017 | − | 0.951057i | −0.0184673 | − | 0.0568365i | ||||
\(281\) | −5.92808 | − | 18.2448i | −0.353640 | − | 1.08839i | −0.956794 | − | 0.290767i | \(-0.906090\pi\) |
0.603154 | − | 0.797625i | \(-0.293910\pi\) | |||||||
\(282\) | 0.627284 | + | 0.455748i | 0.0373542 | + | 0.0271394i | ||||
\(283\) | −13.9735 | + | 10.1523i | −0.830639 | + | 0.603494i | −0.919740 | − | 0.392528i | \(-0.871601\pi\) |
0.0891012 | + | 0.996023i | \(0.471601\pi\) | |||||||
\(284\) | −3.86699 | + | 11.9014i | −0.229464 | + | 0.706217i | ||||
\(285\) | 0.907206 | 0.0537382 | ||||||||
\(286\) | 6.54322 | + | 6.74965i | 0.386909 | + | 0.399115i | ||||
\(287\) | 2.22578 | 0.131384 | ||||||||
\(288\) | −0.908162 | + | 2.79504i | −0.0535140 | + | 0.164699i | ||||
\(289\) | −13.1391 | + | 9.54614i | −0.772890 | + | 0.561538i | ||||
\(290\) | 1.14498 | + | 0.831879i | 0.0672357 | + | 0.0488496i | ||||
\(291\) | −0.957117 | − | 2.94570i | −0.0561072 | − | 0.172680i | ||||
\(292\) | −2.22441 | − | 6.84604i | −0.130174 | − | 0.400634i | ||||
\(293\) | 26.6424 | + | 19.3568i | 1.55646 | + | 1.13084i | 0.938835 | + | 0.344366i | \(0.111906\pi\) |
0.617628 | + | 0.786470i | \(0.288094\pi\) | |||||||
\(294\) | 0.200017 | − | 0.145321i | 0.0116652 | − | 0.00847529i | ||||
\(295\) | 3.24350 | − | 9.98245i | 0.188844 | − | 0.581201i | ||||
\(296\) | 2.94752 | 0.171321 | ||||||||
\(297\) | −0.687026 | − | 4.82108i | −0.0398653 | − | 0.279747i | ||||
\(298\) | −15.0315 | −0.870750 | ||||||||
\(299\) | −6.28381 | + | 19.3396i | −0.363402 | + | 1.11844i | ||||
\(300\) | 0.200017 | − | 0.145321i | 0.0115480 | − | 0.00839011i | ||||
\(301\) | −7.79907 | − | 5.66635i | −0.449531 | − | 0.326603i | ||||
\(302\) | 0.159597 | + | 0.491190i | 0.00918379 | + | 0.0282648i | ||||
\(303\) | 0.450853 | + | 1.38758i | 0.0259008 | + | 0.0797145i | ||||
\(304\) | −2.96862 | − | 2.15683i | −0.170262 | − | 0.123702i | ||||
\(305\) | −7.44405 | + | 5.40842i | −0.426245 | + | 0.309685i | ||||
\(306\) | 5.23600 | − | 16.1147i | 0.299322 | − | 0.921219i | ||||
\(307\) | −7.97195 | −0.454983 | −0.227492 | − | 0.973780i | \(-0.573052\pi\) | ||||
−0.227492 | + | 0.973780i | \(0.573052\pi\) | |||||||
\(308\) | −0.467907 | − | 3.28345i | −0.0266615 | − | 0.187092i | ||||
\(309\) | 2.95868 | 0.168313 | ||||||||
\(310\) | 0.110144 | − | 0.338990i | 0.00625578 | − | 0.0192533i | ||||
\(311\) | 3.24283 | − | 2.35606i | 0.183884 | − | 0.133600i | −0.492035 | − | 0.870575i | \(-0.663747\pi\) |
0.675919 | + | 0.736976i | \(0.263747\pi\) | |||||||
\(312\) | 0.566927 | + | 0.411896i | 0.0320959 | + | 0.0233190i | ||||
\(313\) | 1.62932 | + | 5.01454i | 0.0920949 | + | 0.283439i | 0.986486 | − | 0.163847i | \(-0.0523905\pi\) |
−0.894391 | + | 0.447286i | \(0.852390\pi\) | |||||||
\(314\) | −7.03885 | − | 21.6634i | −0.397225 | − | 1.22253i | ||||
\(315\) | −2.37760 | − | 1.72743i | −0.133963 | − | 0.0973295i | ||||
\(316\) | −4.97148 | + | 3.61199i | −0.279667 | + | 0.203190i | ||||
\(317\) | −1.43995 | + | 4.43172i | −0.0808758 | + | 0.248910i | −0.983316 | − | 0.181905i | \(-0.941774\pi\) |
0.902440 | + | 0.430815i | \(0.141774\pi\) | |||||||
\(318\) | −0.216119 | −0.0121194 | ||||||||
\(319\) | 3.26718 | + | 3.37025i | 0.182927 | + | 0.188698i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 0.480474 | − | 1.47875i | 0.0268174 | − | 0.0825356i | ||||
\(322\) | 5.80414 | − | 4.21696i | 0.323452 | − | 0.235002i | ||||
\(323\) | 17.1155 | + | 12.4352i | 0.952333 | + | 0.691911i | ||||
\(324\) | 2.61231 | + | 8.03986i | 0.145128 | + | 0.446659i | ||||
\(325\) | 0.875876 | + | 2.69567i | 0.0485848 | + | 0.149529i | ||||
\(326\) | −3.01240 | − | 2.18864i | −0.166841 | − | 0.121217i | ||||
\(327\) | −0.684308 | + | 0.497179i | −0.0378423 | + | 0.0274940i | ||||
\(328\) | 0.687804 | − | 2.11684i | 0.0379776 | − | 0.116883i | ||||
\(329\) | 3.13615 | 0.172902 | ||||||||
\(330\) | 0.736304 | − | 0.360876i | 0.0405322 | − | 0.0198656i | ||||
\(331\) | −25.0199 | −1.37522 | −0.687608 | − | 0.726082i | \(-0.741339\pi\) | ||||
−0.687608 | + | 0.726082i | \(0.741339\pi\) | |||||||
\(332\) | 0.952443 | − | 2.93132i | 0.0522721 | − | 0.160877i | ||||
\(333\) | 7.00803 | − | 5.09163i | 0.384038 | − | 0.279020i | ||||
\(334\) | −12.6065 | − | 9.15918i | −0.689798 | − | 0.501168i | ||||
\(335\) | 4.18614 | + | 12.8836i | 0.228713 | + | 0.703906i | ||||
\(336\) | −0.0763997 | − | 0.235134i | −0.00416795 | − | 0.0128276i | ||||
\(337\) | −12.8931 | − | 9.36738i | −0.702332 | − | 0.510274i | 0.178359 | − | 0.983965i | \(-0.442921\pi\) |
−0.880691 | + | 0.473692i | \(0.842921\pi\) | |||||||
\(338\) | 4.01775 | − | 2.91907i | 0.218537 | − | 0.158776i | ||||
\(339\) | 1.28522 | − | 3.95549i | 0.0698034 | − | 0.214833i | ||||
\(340\) | 5.76549 | 0.312678 | ||||||||
\(341\) | 0.552980 | − | 1.04485i | 0.0299456 | − | 0.0565819i | ||||
\(342\) | −10.7839 | −0.583129 | ||||||||
\(343\) | 0.309017 | − | 0.951057i | 0.0166853 | − | 0.0513522i | ||||
\(344\) | −7.79907 | + | 5.66635i | −0.420498 | + | 0.305509i | ||||
\(345\) | 1.43499 | + | 1.04258i | 0.0772570 | + | 0.0561305i | ||||
\(346\) | 1.82305 | + | 5.61078i | 0.0980079 | + | 0.301637i | ||||
\(347\) | −3.84030 | − | 11.8192i | −0.206158 | − | 0.634490i | −0.999664 | − | 0.0259268i | \(-0.991746\pi\) |
0.793506 | − | 0.608563i | \(-0.208254\pi\) | |||||||
\(348\) | 0.283079 | + | 0.205669i | 0.0151746 | + | 0.0110250i | ||||
\(349\) | 13.1165 | − | 9.52968i | 0.702109 | − | 0.510112i | −0.178510 | − | 0.983938i | \(-0.557128\pi\) |
0.880618 | + | 0.473826i | \(0.157128\pi\) | |||||||
\(350\) | 0.309017 | − | 0.951057i | 0.0165177 | − | 0.0508361i | ||||
\(351\) | 4.16173 | 0.222137 | ||||||||
\(352\) | −3.26734 | − | 0.569637i | −0.174150 | − | 0.0303617i | ||||
\(353\) | −21.8320 | −1.16200 | −0.580999 | − | 0.813904i | \(-0.697338\pi\) | ||||
−0.580999 | + | 0.813904i | \(0.697338\pi\) | |||||||
\(354\) | 0.801904 | − | 2.46801i | 0.0426207 | − | 0.131173i | ||||
\(355\) | −10.1239 | + | 7.35546i | −0.537322 | + | 0.390387i | ||||
\(356\) | 4.65543 | + | 3.38237i | 0.246737 | + | 0.179265i | ||||
\(357\) | 0.440482 | + | 1.35566i | 0.0233128 | + | 0.0717493i | ||||
\(358\) | 5.04696 | + | 15.5329i | 0.266740 | + | 0.820942i | ||||
\(359\) | 14.7326 | + | 10.7039i | 0.777559 | + | 0.564930i | 0.904246 | − | 0.427013i | \(-0.140434\pi\) |
−0.126686 | + | 0.991943i | \(0.540434\pi\) | |||||||
\(360\) | −2.37760 | + | 1.72743i | −0.125311 | + | 0.0910434i | ||||
\(361\) | −1.71054 | + | 5.26449i | −0.0900282 | + | 0.277078i | ||||
\(362\) | −3.48610 | −0.183226 | ||||||||
\(363\) | 2.61132 | − | 0.759678i | 0.137059 | − | 0.0398728i | ||||
\(364\) | 2.83439 | 0.148563 | ||||||||
\(365\) | 2.22441 | − | 6.84604i | 0.116431 | − | 0.358338i | ||||
\(366\) | −1.84043 | + | 1.33715i | −0.0962007 | + | 0.0698939i | ||||
\(367\) | 4.27045 | + | 3.10266i | 0.222916 | + | 0.161958i | 0.693638 | − | 0.720324i | \(-0.256007\pi\) |
−0.470722 | + | 0.882281i | \(0.656007\pi\) | |||||||
\(368\) | −2.21699 | − | 6.82318i | −0.115568 | − | 0.355683i | ||||
\(369\) | −2.02137 | − | 6.22113i | −0.105228 | − | 0.323859i | ||||
\(370\) | 2.38460 | + | 1.73251i | 0.123969 | + | 0.0900689i | ||||
\(371\) | −0.707199 | + | 0.513810i | −0.0367160 | + | 0.0266757i | ||||
\(372\) | 0.0272315 | − | 0.0838100i | 0.00141189 | − | 0.00434535i | ||||
\(373\) | 18.5799 | 0.962031 | 0.481016 | − | 0.876712i | \(-0.340268\pi\) | ||||
0.481016 | + | 0.876712i | \(0.340268\pi\) | |||||||
\(374\) | 18.8378 | + | 3.28423i | 0.974080 | + | 0.169824i | ||||
\(375\) | 0.247235 | 0.0127671 | ||||||||
\(376\) | 0.969124 | − | 2.98266i | 0.0499788 | − | 0.153819i | ||||
\(377\) | −3.24533 | + | 2.35787i | −0.167143 | + | 0.121437i | ||||
\(378\) | −1.18788 | − | 0.863043i | −0.0610978 | − | 0.0443901i | ||||
\(379\) | 7.05813 | + | 21.7227i | 0.362552 | + | 1.11582i | 0.951500 | + | 0.307648i | \(0.0995421\pi\) |
−0.588948 | + | 0.808171i | \(0.700458\pi\) | |||||||
\(380\) | −1.13391 | − | 3.48982i | −0.0581684 | − | 0.179024i | ||||
\(381\) | 0.0351549 | + | 0.0255416i | 0.00180104 | + | 0.00130853i | ||||
\(382\) | −21.0104 | + | 15.2649i | −1.07499 | + | 0.781023i | ||||
\(383\) | −6.94469 | + | 21.3735i | −0.354857 | + | 1.09214i | 0.601235 | + | 0.799072i | \(0.294675\pi\) |
−0.956092 | + | 0.293065i | \(0.905325\pi\) | |||||||
\(384\) | −0.247235 | −0.0126166 | ||||||||
\(385\) | 1.55142 | − | 2.93140i | 0.0790677 | − | 0.149398i | ||||
\(386\) | −0.677502 | −0.0344840 | ||||||||
\(387\) | −8.75485 | + | 26.9446i | −0.445034 | + | 1.36967i | ||||
\(388\) | −10.1352 | + | 7.36363i | −0.514535 | + | 0.373832i | ||||
\(389\) | −29.3267 | − | 21.3071i | −1.48692 | − | 1.08031i | −0.975243 | − | 0.221134i | \(-0.929024\pi\) |
−0.511678 | − | 0.859178i | \(-0.670976\pi\) | |||||||
\(390\) | 0.216547 | + | 0.666462i | 0.0109653 | + | 0.0337476i | ||||
\(391\) | 12.7820 | + | 39.3390i | 0.646414 | + | 1.98946i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | −2.28801 | + | 1.66234i | −0.115415 | + | 0.0838539i | ||||
\(394\) | 1.79481 | − | 5.52385i | 0.0904211 | − | 0.278288i | ||||
\(395\) | −6.14508 | −0.309193 | ||||||||
\(396\) | −8.75243 | + | 4.28973i | −0.439826 | + | 0.215567i | ||||
\(397\) | −8.02992 | −0.403010 | −0.201505 | − | 0.979487i | \(-0.564583\pi\) | ||||
−0.201505 | + | 0.979487i | \(0.564583\pi\) | |||||||
\(398\) | 3.38296 | − | 10.4117i | 0.169572 | − | 0.521890i | ||||
\(399\) | 0.733945 | − | 0.533242i | 0.0367432 | − | 0.0266955i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 0.207790 | + | 0.639511i | 0.0103765 | + | 0.0319356i | 0.956111 | − | 0.293006i | \(-0.0946555\pi\) |
−0.945734 | + | 0.324941i | \(0.894655\pi\) | |||||||
\(402\) | 1.03496 | + | 3.18527i | 0.0516190 | + | 0.158867i | ||||
\(403\) | 0.817331 | + | 0.593825i | 0.0407141 | + | 0.0295806i | ||||
\(404\) | 4.77420 | − | 3.46866i | 0.237525 | − | 0.172572i | ||||
\(405\) | −2.61231 | + | 8.03986i | −0.129807 | + | 0.399504i | ||||
\(406\) | 1.41528 | 0.0702390 | ||||||||
\(407\) | 6.80439 | + | 7.01906i | 0.337281 | + | 0.347922i | ||||
\(408\) | 1.42543 | 0.0705692 | ||||||||
\(409\) | −6.71756 | + | 20.6745i | −0.332162 | + | 1.02229i | 0.635941 | + | 0.771738i | \(0.280612\pi\) |
−0.968103 | + | 0.250552i | \(0.919388\pi\) | |||||||
\(410\) | 1.80069 | − | 1.30828i | 0.0889299 | − | 0.0646113i | ||||
\(411\) | −1.99085 | − | 1.44644i | −0.0982015 | − | 0.0713475i | ||||
\(412\) | −3.69804 | − | 11.3814i | −0.182189 | − | 0.560721i | ||||
\(413\) | −3.24350 | − | 9.98245i | −0.159602 | − | 0.491204i | ||||
\(414\) | −17.0577 | − | 12.3931i | −0.838338 | − | 0.609088i | ||||
\(415\) | 2.49353 | − | 1.81165i | 0.122402 | − | 0.0889306i | ||||
\(416\) | 0.875876 | − | 2.69567i | 0.0429433 | − | 0.132166i | ||||
\(417\) | 0.155072 | 0.00759389 | ||||||||
\(418\) | −1.71694 | − | 12.0483i | −0.0839784 | − | 0.589304i | ||||
\(419\) | −7.38003 | −0.360538 | −0.180269 | − | 0.983617i | \(-0.557697\pi\) | ||||
−0.180269 | + | 0.983617i | \(0.557697\pi\) | |||||||
\(420\) | 0.0763997 | − | 0.235134i | 0.00372792 | − | 0.0114734i | ||||
\(421\) | −23.8253 | + | 17.3101i | −1.16118 | + | 0.843643i | −0.989926 | − | 0.141585i | \(-0.954780\pi\) |
−0.171249 | + | 0.985228i | \(0.554780\pi\) | |||||||
\(422\) | 5.20025 | + | 3.77820i | 0.253144 | + | 0.183920i | ||||
\(423\) | −2.84813 | − | 8.76566i | −0.138481 | − | 0.426201i | ||||
\(424\) | 0.270126 | + | 0.831363i | 0.0131185 | + | 0.0403745i | ||||
\(425\) | 4.66438 | + | 3.38887i | 0.226256 | + | 0.164384i | ||||
\(426\) | −2.50298 | + | 1.81852i | −0.121270 | + | 0.0881078i | ||||
\(427\) | −2.84337 | + | 8.75101i | −0.137601 | + | 0.423491i | ||||
\(428\) | −6.28895 | −0.303988 | ||||||||
\(429\) | 0.327891 | + | 2.30091i | 0.0158307 | + | 0.111089i | ||||
\(430\) | −9.64018 | −0.464891 | ||||||||
\(431\) | −6.07841 | + | 18.7074i | −0.292787 | + | 0.901105i | 0.691169 | + | 0.722693i | \(0.257096\pi\) |
−0.983956 | + | 0.178412i | \(0.942904\pi\) | |||||||
\(432\) | −1.18788 | + | 0.863043i | −0.0571517 | + | 0.0415232i | ||||
\(433\) | 13.7941 | + | 10.0220i | 0.662901 | + | 0.481626i | 0.867641 | − | 0.497191i | \(-0.165635\pi\) |
−0.204741 | + | 0.978816i | \(0.565635\pi\) | |||||||
\(434\) | −0.110144 | − | 0.338990i | −0.00528710 | − | 0.0162720i | ||||
\(435\) | 0.108127 | + | 0.332780i | 0.00518428 | + | 0.0159556i | ||||
\(436\) | 2.76785 | + | 2.01096i | 0.132556 | + | 0.0963075i | ||||
\(437\) | 21.2978 | − | 15.4738i | 1.01881 | − | 0.740210i | ||||
\(438\) | 0.549952 | − | 1.69258i | 0.0262777 | − | 0.0808746i | ||||
\(439\) | 29.9589 | 1.42986 | 0.714929 | − | 0.699197i | \(-0.246459\pi\) | ||||
0.714929 | + | 0.699197i | \(0.246459\pi\) | |||||||
\(440\) | −2.30851 | − | 2.38134i | −0.110054 | − | 0.113526i | ||||
\(441\) | −2.93888 | −0.139946 | ||||||||
\(442\) | −5.04985 | + | 15.5418i | −0.240197 | + | 0.739250i | ||||
\(443\) | −33.4087 | + | 24.2728i | −1.58730 | + | 1.15324i | −0.679621 | + | 0.733563i | \(0.737856\pi\) |
−0.907675 | + | 0.419675i | \(0.862144\pi\) | |||||||
\(444\) | 0.589555 | + | 0.428337i | 0.0279790 | + | 0.0203280i | ||||
\(445\) | 1.77822 | + | 5.47279i | 0.0842955 | + | 0.259435i | ||||
\(446\) | 7.17068 | + | 22.0691i | 0.339542 | + | 1.04500i | ||||
\(447\) | −3.00655 | − | 2.18439i | −0.142205 | − | 0.103318i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | 10.4838 | − | 32.2658i | 0.494761 | − | 1.52272i | −0.322567 | − | 0.946547i | \(-0.604546\pi\) |
0.817328 | − | 0.576172i | \(-0.195454\pi\) | |||||||
\(450\) | −2.93888 | −0.138540 | ||||||||
\(451\) | 6.62872 | − | 3.24886i | 0.312134 | − | 0.152983i | ||||
\(452\) | −16.8223 | −0.791253 | ||||||||
\(453\) | −0.0394580 | + | 0.121439i | −0.00185390 | + | 0.00570571i | ||||
\(454\) | 20.6878 | − | 15.0306i | 0.970927 | − | 0.705420i | ||||
\(455\) | 2.29307 | + | 1.66601i | 0.107501 | + | 0.0781040i | ||||
\(456\) | −0.280342 | − | 0.862804i | −0.0131282 | − | 0.0404045i | ||||
\(457\) | 6.17812 | + | 19.0143i | 0.289000 | + | 0.889452i | 0.985171 | + | 0.171575i | \(0.0548857\pi\) |
−0.696171 | + | 0.717876i | \(0.745114\pi\) | |||||||
\(458\) | −3.25630 | − | 2.36584i | −0.152157 | − | 0.110548i | ||||
\(459\) | 6.84869 | − | 4.97586i | 0.319669 | − | 0.232253i | ||||
\(460\) | 2.21699 | − | 6.82318i | 0.103367 | − | 0.318132i | ||||
\(461\) | −17.4739 | −0.813840 | −0.406920 | − | 0.913464i | \(-0.633397\pi\) | ||||
−0.406920 | + | 0.913464i | \(0.633397\pi\) | |||||||
\(462\) | 0.383565 | − | 0.724743i | 0.0178451 | − | 0.0337181i | ||||
\(463\) | −41.7730 | −1.94135 | −0.970677 | − | 0.240386i | \(-0.922726\pi\) | ||||
−0.970677 | + | 0.240386i | \(0.922726\pi\) | |||||||
\(464\) | 0.437344 | − | 1.34601i | 0.0203032 | − | 0.0624868i | ||||
\(465\) | 0.0712930 | − | 0.0517974i | 0.00330614 | − | 0.00240205i | ||||
\(466\) | 2.97493 | + | 2.16141i | 0.137811 | + | 0.100125i | ||||
\(467\) | −4.24825 | − | 13.0748i | −0.196586 | − | 0.605028i | −0.999954 | − | 0.00954640i | \(-0.996961\pi\) |
0.803369 | − | 0.595482i | \(-0.203039\pi\) | |||||||
\(468\) | −2.57409 | − | 7.92223i | −0.118987 | − | 0.366205i | ||||
\(469\) | 10.9594 | + | 7.96250i | 0.506060 | + | 0.367674i | ||||
\(470\) | 2.53720 | − | 1.84338i | 0.117032 | − | 0.0850289i | ||||
\(471\) | 1.74025 | − | 5.35593i | 0.0801864 | − | 0.246788i | ||||
\(472\) | −10.4962 | −0.483125 | ||||||||
\(473\) | −31.4977 | − | 5.49140i | −1.44827 | − | 0.252495i | ||||
\(474\) | −1.51928 | −0.0697827 | ||||||||
\(475\) | 1.13391 | − | 3.48982i | 0.0520274 | − | 0.160124i | ||||
\(476\) | 4.66438 | − | 3.38887i | 0.213791 | − | 0.155329i | ||||
\(477\) | 2.07837 | + | 1.51002i | 0.0951620 | + | 0.0691393i | ||||
\(478\) | −0.338199 | − | 1.04087i | −0.0154689 | − | 0.0476083i | ||||
\(479\) | −6.38541 | − | 19.6523i | −0.291757 | − | 0.897935i | −0.984292 | − | 0.176551i | \(-0.943506\pi\) |
0.692535 | − | 0.721385i | \(-0.256494\pi\) | |||||||
\(480\) | −0.200017 | − | 0.145321i | −0.00912949 | − | 0.00663296i | ||||
\(481\) | −6.75888 | + | 4.91062i | −0.308178 | + | 0.223905i | ||||
\(482\) | 1.93105 | − | 5.94317i | 0.0879571 | − | 0.270704i | ||||
\(483\) | 1.77374 | 0.0807079 | ||||||||
\(484\) | −6.18619 | − | 9.09566i | −0.281190 | − | 0.413439i | ||||
\(485\) | −12.5278 | −0.568856 | ||||||||
\(486\) | −2.00704 | + | 6.17703i | −0.0910411 | + | 0.280196i | ||||
\(487\) | 17.8833 | − | 12.9929i | 0.810368 | − | 0.588767i | −0.103570 | − | 0.994622i | \(-0.533026\pi\) |
0.913937 | + | 0.405856i | \(0.133026\pi\) | |||||||
\(488\) | 7.44405 | + | 5.40842i | 0.336976 | + | 0.244828i | ||||
\(489\) | −0.284477 | − | 0.875529i | −0.0128645 | − | 0.0395928i | ||||
\(490\) | −0.309017 | − | 0.951057i | −0.0139600 | − | 0.0429644i | ||||
\(491\) | −8.65440 | − | 6.28779i | −0.390568 | − | 0.283764i | 0.375120 | − | 0.926976i | \(-0.377601\pi\) |
−0.765688 | + | 0.643212i | \(0.777601\pi\) | |||||||
\(492\) | 0.445194 | − | 0.323452i | 0.0200709 | − | 0.0145824i | ||||
\(493\) | −2.52150 | + | 7.76039i | −0.113563 | + | 0.349510i | ||||
\(494\) | 10.4006 | 0.467943 | ||||||||
\(495\) | −9.60231 | − | 1.67409i | −0.431592 | − | 0.0752448i | ||||
\(496\) | −0.356435 | −0.0160044 | ||||||||
\(497\) | −3.86699 | + | 11.9014i | −0.173458 | + | 0.533850i | ||||
\(498\) | 0.616486 | − | 0.447904i | 0.0276254 | − | 0.0200710i | ||||
\(499\) | −1.50322 | − | 1.09216i | −0.0672935 | − | 0.0488916i | 0.553630 | − | 0.832763i | \(-0.313242\pi\) |
−0.620923 | + | 0.783871i | \(0.713242\pi\) | |||||||
\(500\) | −0.309017 | − | 0.951057i | −0.0138197 | − | 0.0425325i | ||||
\(501\) | −1.19050 | − | 3.66398i | −0.0531876 | − | 0.163695i | ||||
\(502\) | 15.6072 | + | 11.3393i | 0.696583 | + | 0.506097i | ||||
\(503\) | 10.9612 | − | 7.96375i | 0.488734 | − | 0.355086i | −0.315963 | − | 0.948771i | \(-0.602328\pi\) |
0.804697 | + | 0.593686i | \(0.202328\pi\) | |||||||
\(504\) | −0.908162 | + | 2.79504i | −0.0404528 | + | 0.124501i | ||||
\(505\) | 5.90123 | 0.262601 | ||||||||
\(506\) | 11.1304 | − | 21.0308i | 0.494806 | − | 0.934932i | ||||
\(507\) | 1.22782 | 0.0545295 | ||||||||
\(508\) | 0.0543127 | − | 0.167157i | 0.00240974 | − | 0.00741641i | ||||
\(509\) | 5.15160 | − | 3.74285i | 0.228341 | − | 0.165899i | −0.467733 | − | 0.883870i | \(-0.654929\pi\) |
0.696073 | + | 0.717971i | \(0.254929\pi\) | |||||||
\(510\) | 1.15320 | + | 0.837846i | 0.0510644 | + | 0.0371004i | ||||
\(511\) | −2.22441 | − | 6.84604i | −0.0984023 | − | 0.302851i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −4.35881 | − | 3.16686i | −0.192446 | − | 0.139820i | ||||
\(514\) | −20.4409 | + | 14.8512i | −0.901609 | + | 0.655057i | ||||
\(515\) | 3.69804 | − | 11.3814i | 0.162955 | − | 0.501524i | ||||
\(516\) | −2.38339 | −0.104923 | ||||||||
\(517\) | 9.33995 | − | 4.57768i | 0.410771 | − | 0.201326i | ||||
\(518\) | 2.94752 | 0.129507 | ||||||||
\(519\) | −0.450722 | + | 1.38718i | −0.0197845 | + | 0.0608904i | ||||
\(520\) | 2.29307 | − | 1.66601i | 0.100558 | − | 0.0730596i | ||||
\(521\) | 19.5534 | + | 14.2064i | 0.856650 | + | 0.622393i | 0.926972 | − | 0.375131i | \(-0.122402\pi\) |
−0.0703212 | + | 0.997524i | \(0.522402\pi\) | |||||||
\(522\) | −1.28530 | − | 3.95575i | −0.0562561 | − | 0.173138i | ||||
\(523\) | −9.45125 | − | 29.0879i | −0.413274 | − | 1.27193i | −0.913785 | − | 0.406197i | \(-0.866855\pi\) |
0.500511 | − | 0.865730i | \(-0.333145\pi\) | |||||||
\(524\) | 9.25442 | + | 6.72373i | 0.404281 | + | 0.293728i | ||||
\(525\) | 0.200017 | − | 0.145321i | 0.00872946 | − | 0.00634232i | ||||
\(526\) | 0.925049 | − | 2.84701i | 0.0403341 | − | 0.124136i | ||||
\(527\) | 2.05502 | 0.0895181 | ||||||||
\(528\) | −0.570744 | − | 0.588750i | −0.0248384 | − | 0.0256221i | ||||
\(529\) | 28.4708 | 1.23786 | ||||||||
\(530\) | −0.270126 | + | 0.831363i | −0.0117335 | + | 0.0361121i | ||||
\(531\) | −24.9557 | + | 18.1314i | −1.08298 | + | 0.786835i | ||||
\(532\) | −2.96862 | − | 2.15683i | −0.128706 | − | 0.0935103i | ||||
\(533\) | 1.94951 | + | 5.99996i | 0.0844424 | + | 0.259887i | ||||
\(534\) | 0.439637 | + | 1.35306i | 0.0190249 | + | 0.0585527i | ||||
\(535\) | −5.08787 | − | 3.69655i | −0.219968 | − | 0.159816i | ||||
\(536\) | 10.9594 | − | 7.96250i | 0.473376 | − | 0.343928i | ||||
\(537\) | −1.24778 | + | 3.84028i | −0.0538458 | + | 0.165720i | ||||
\(538\) | −22.5013 | −0.970100 | ||||||||
\(539\) | −0.467907 | − | 3.28345i | −0.0201542 | − | 0.141428i | ||||
\(540\) | −1.46830 | −0.0631854 | ||||||||
\(541\) | 6.85751 | − | 21.1053i | 0.294828 | − | 0.907386i | −0.688452 | − | 0.725282i | \(-0.741709\pi\) |
0.983279 | − | 0.182104i | \(-0.0582907\pi\) | |||||||
\(542\) | 11.0258 | − | 8.01071i | 0.473599 | − | 0.344090i | ||||
\(543\) | −0.697280 | − | 0.506604i | −0.0299232 | − | 0.0217404i | ||||
\(544\) | −1.78163 | − | 5.48331i | −0.0763869 | − | 0.235095i | ||||
\(545\) | 1.05722 | + | 3.25380i | 0.0452865 | + | 0.139377i | ||||
\(546\) | 0.566927 | + | 0.411896i | 0.0242622 | + | 0.0176275i | ||||
\(547\) | −13.9053 | + | 10.1028i | −0.594549 | + | 0.431965i | −0.843940 | − | 0.536438i | \(-0.819770\pi\) |
0.249391 | + | 0.968403i | \(0.419770\pi\) | |||||||
\(548\) | −3.07577 | + | 9.46626i | −0.131391 | + | 0.404378i | ||||
\(549\) | 27.0416 | 1.15411 | ||||||||
\(550\) | −0.467907 | − | 3.28345i | −0.0199516 | − | 0.140007i | ||||
\(551\) | 5.19323 | 0.221239 | ||||||||
\(552\) | 0.548116 | − | 1.68693i | 0.0233294 | − | 0.0718004i | ||||
\(553\) | −4.97148 | + | 3.61199i | −0.211409 | + | 0.153597i | ||||
\(554\) | 19.0495 | + | 13.8403i | 0.809337 | + | 0.588018i | ||||
\(555\) | 0.225190 | + | 0.693063i | 0.00955878 | + | 0.0294189i | ||||
\(556\) | −0.193823 | − | 0.596526i | −0.00821992 | − | 0.0252983i | ||||
\(557\) | 4.87829 | + | 3.54428i | 0.206700 | + | 0.150176i | 0.686319 | − | 0.727300i | \(-0.259225\pi\) |
−0.479620 | + | 0.877477i | \(0.659225\pi\) | |||||||
\(558\) | −0.847459 | + | 0.615715i | −0.0358758 | + | 0.0260653i | ||||
\(559\) | 8.44360 | − | 25.9867i | 0.357126 | − | 1.09912i | ||||
\(560\) | −1.00000 | −0.0422577 | ||||||||
\(561\) | 3.29062 | + | 3.39443i | 0.138930 | + | 0.143313i | ||||
\(562\) | −19.1837 | −0.809215 | ||||||||
\(563\) | 8.40482 | − | 25.8674i | 0.354221 | − | 1.09018i | −0.602239 | − | 0.798316i | \(-0.705724\pi\) |
0.956460 | − | 0.291864i | \(-0.0942755\pi\) | |||||||
\(564\) | 0.627284 | − | 0.455748i | 0.0264134 | − | 0.0191905i | ||||
\(565\) | −13.6095 | − | 9.88788i | −0.572556 | − | 0.415986i | ||||
\(566\) | 5.33740 | + | 16.4268i | 0.224348 | + | 0.690472i | ||||
\(567\) | 2.61231 | + | 8.03986i | 0.109707 | + | 0.337642i | ||||
\(568\) | 10.1239 | + | 7.35546i | 0.424790 | + | 0.308628i | ||||
\(569\) | −25.7900 | + | 18.7376i | −1.08117 | + | 0.785519i | −0.977887 | − | 0.209132i | \(-0.932936\pi\) |
−0.103287 | + | 0.994652i | \(0.532936\pi\) | |||||||
\(570\) | 0.280342 | − | 0.862804i | 0.0117422 | − | 0.0361389i | ||||
\(571\) | −26.4539 | −1.10706 | −0.553531 | − | 0.832829i | \(-0.686720\pi\) | ||||
−0.553531 | + | 0.832829i | \(0.686720\pi\) | |||||||
\(572\) | 8.44127 | − | 4.13722i | 0.352947 | − | 0.172986i | ||||
\(573\) | −6.42075 | −0.268231 | ||||||||
\(574\) | 0.687804 | − | 2.11684i | 0.0287084 | − | 0.0883553i | ||||
\(575\) | 5.80414 | − | 4.21696i | 0.242050 | − | 0.175859i | ||||
\(576\) | 2.37760 | + | 1.72743i | 0.0990667 | + | 0.0719761i | ||||
\(577\) | −9.28678 | − | 28.5818i | −0.386614 | − | 1.18987i | −0.935303 | − | 0.353848i | \(-0.884873\pi\) |
0.548689 | − | 0.836026i | \(-0.315127\pi\) | |||||||
\(578\) | 5.01870 | + | 15.4460i | 0.208750 | + | 0.642468i | ||||
\(579\) | −0.135512 | − | 0.0984552i | −0.00563169 | − | 0.00409166i | ||||
\(580\) | 1.14498 | − | 0.831879i | 0.0475428 | − | 0.0345419i | ||||
\(581\) | 0.952443 | − | 2.93132i | 0.0395140 | − | 0.121612i | ||||
\(582\) | −3.09730 | −0.128387 | ||||||||
\(583\) | −1.35617 | + | 2.56247i | −0.0561668 | + | 0.106127i | ||||
\(584\) | −7.19836 | −0.297870 | ||||||||
\(585\) | 2.57409 | − | 7.92223i | 0.106425 | − | 0.327544i | ||||
\(586\) | 26.6424 | − | 19.3568i | 1.10059 | − | 0.799622i | ||||
\(587\) | −21.6472 | − | 15.7276i | −0.893475 | − | 0.649148i | 0.0433068 | − | 0.999062i | \(-0.486211\pi\) |
−0.936782 | + | 0.349914i | \(0.886211\pi\) | |||||||
\(588\) | −0.0763997 | − | 0.235134i | −0.00315067 | − | 0.00969677i | ||||
\(589\) | −0.404165 | − | 1.24389i | −0.0166533 | − | 0.0512537i | ||||
\(590\) | −8.49158 | − | 6.16949i | −0.349593 | − | 0.253994i | ||||
\(591\) | 1.16172 | − | 0.844041i | 0.0477869 | − | 0.0347192i | ||||
\(592\) | 0.910835 | − | 2.80326i | 0.0374351 | − | 0.115213i | ||||
\(593\) | −3.33504 | −0.136954 | −0.0684768 | − | 0.997653i | \(-0.521814\pi\) | ||||
−0.0684768 | + | 0.997653i | \(0.521814\pi\) | |||||||
\(594\) | −4.79742 | − | 0.836395i | −0.196841 | − | 0.0343177i | ||||
\(595\) | 5.76549 | 0.236362 | ||||||||
\(596\) | −4.64498 | + | 14.2958i | −0.190266 | + | 0.585578i | ||||
\(597\) | 2.18968 | − | 1.59090i | 0.0896177 | − | 0.0651111i | ||||
\(598\) | 16.4512 | + | 11.9525i | 0.672741 | + | 0.488775i | ||||
\(599\) | −1.02951 | − | 3.16849i | −0.0420645 | − | 0.129461i | 0.927819 | − | 0.373031i | \(-0.121681\pi\) |
−0.969883 | + | 0.243570i | \(0.921681\pi\) | |||||||
\(600\) | −0.0763997 | − | 0.235134i | −0.00311901 | − | 0.00959931i | ||||
\(601\) | 33.6092 | + | 24.4185i | 1.37095 | + | 0.996052i | 0.997662 | + | 0.0683358i | \(0.0217689\pi\) |
0.373286 | + | 0.927716i | \(0.378231\pi\) | |||||||
\(602\) | −7.79907 | + | 5.66635i | −0.317866 | + | 0.230943i | ||||
\(603\) | 12.3025 | − | 37.8633i | 0.500998 | − | 1.54191i | ||||
\(604\) | 0.516467 | 0.0210148 | ||||||||
\(605\) | 0.341565 | − | 10.9947i | 0.0138866 | − | 0.446998i | ||||
\(606\) | 1.45899 | 0.0592674 | ||||||||
\(607\) | 6.47935 | − | 19.9414i | 0.262989 | − | 0.809396i | −0.729161 | − | 0.684342i | \(-0.760090\pi\) |
0.992150 | − | 0.125054i | \(-0.0399104\pi\) | |||||||
\(608\) | −2.96862 | + | 2.15683i | −0.120393 | + | 0.0874709i | ||||
\(609\) | 0.283079 | + | 0.205669i | 0.0114710 | + | 0.00833414i | ||||
\(610\) | 2.84337 | + | 8.75101i | 0.115125 | + | 0.354318i | ||||
\(611\) | 2.74688 | + | 8.45402i | 0.111127 | + | 0.342013i | ||||
\(612\) | −13.7080 | − | 9.95946i | −0.554114 | − | 0.402587i | ||||
\(613\) | 2.24252 | − | 1.62929i | 0.0905746 | − | 0.0658063i | −0.541576 | − | 0.840652i | \(-0.682172\pi\) |
0.632151 | + | 0.774845i | \(0.282172\pi\) | |||||||
\(614\) | −2.46347 | + | 7.58177i | −0.0994175 | + | 0.305976i | ||||
\(615\) | 0.550290 | 0.0221898 | ||||||||
\(616\) | −3.26734 | − | 0.569637i | −0.131645 | − | 0.0229513i | ||||
\(617\) | 48.3567 | 1.94677 | 0.973384 | − | 0.229180i | \(-0.0736043\pi\) | ||||
0.973384 | + | 0.229180i | \(0.0736043\pi\) | |||||||
\(618\) | 0.914283 | − | 2.81387i | 0.0367778 | − | 0.113191i | ||||
\(619\) | −37.9263 | + | 27.5551i | −1.52439 | + | 1.10753i | −0.565128 | + | 0.825003i | \(0.691173\pi\) |
−0.959259 | + | 0.282528i | \(0.908827\pi\) | |||||||
\(620\) | −0.288362 | − | 0.209507i | −0.0115809 | − | 0.00841401i | ||||
\(621\) | −3.25519 | − | 10.0184i | −0.130626 | − | 0.402026i | ||||
\(622\) | −1.23865 | − | 3.81218i | −0.0496654 | − | 0.152854i | ||||
\(623\) | 4.65543 | + | 3.38237i | 0.186516 | + | 0.135512i | ||||
\(624\) | 0.566927 | − | 0.411896i | 0.0226952 | − | 0.0164891i | ||||
\(625\) | 0.309017 | − | 0.951057i | 0.0123607 | − | 0.0380423i | ||||
\(626\) | 5.27260 | 0.210736 | ||||||||
\(627\) | 1.40746 | − | 2.65938i | 0.0562085 | − | 0.106205i | ||||
\(628\) | −22.7782 | −0.908949 | ||||||||
\(629\) | −5.25141 | + | 16.1622i | −0.209387 | + | 0.644428i | ||||
\(630\) | −2.37760 | + | 1.72743i | −0.0947258 | + | 0.0688224i | ||||
\(631\) | 17.4598 | + | 12.6853i | 0.695063 | + | 0.504993i | 0.878321 | − | 0.478072i | \(-0.158664\pi\) |
−0.183258 | + | 0.983065i | \(0.558664\pi\) | |||||||
\(632\) | 1.89893 | + | 5.84432i | 0.0755356 | + | 0.232475i | ||||
\(633\) | 0.491087 | + | 1.51141i | 0.0195190 | + | 0.0600732i | ||||
\(634\) | 3.76984 | + | 2.73895i | 0.149720 | + | 0.108778i | ||||
\(635\) | 0.142193 | − | 0.103309i | 0.00564274 | − | 0.00409969i | ||||
\(636\) | −0.0667845 | + | 0.205542i | −0.00264818 | + | 0.00815026i | ||||
\(637\) | 2.83439 | 0.112303 | ||||||||
\(638\) | 4.21492 | − | 2.06581i | 0.166870 | − | 0.0817860i | ||||
\(639\) | 36.7766 | 1.45486 | ||||||||
\(640\) | −0.309017 | + | 0.951057i | −0.0122150 | + | 0.0375938i | ||||
\(641\) | −18.5952 | + | 13.5102i | −0.734466 | + | 0.533621i | −0.890973 | − | 0.454056i | \(-0.849977\pi\) |
0.156507 | + | 0.987677i | \(0.449977\pi\) | |||||||
\(642\) | −1.25790 | − | 0.913916i | −0.0496452 | − | 0.0360694i | ||||
\(643\) | −10.1692 | − | 31.2975i | −0.401034 | − | 1.23425i | −0.924162 | − | 0.382001i | \(-0.875235\pi\) |
0.523129 | − | 0.852254i | \(-0.324765\pi\) | |||||||
\(644\) | −2.21699 | − | 6.82318i | −0.0873615 | − | 0.268871i | ||||
\(645\) | −1.92820 | − | 1.40092i | −0.0759228 | − | 0.0551611i | ||||
\(646\) | 17.1155 | − | 12.4352i | 0.673401 | − | 0.489255i | ||||
\(647\) | 6.15565 | − | 18.9451i | 0.242004 | − | 0.744810i | −0.754111 | − | 0.656747i | \(-0.771932\pi\) |
0.996115 | − | 0.0880637i | \(-0.0280679\pi\) | |||||||
\(648\) | 8.45361 | 0.332089 | ||||||||
\(649\) | −24.2305 | − | 24.9950i | −0.951131 | − | 0.981138i | ||||
\(650\) | 2.83439 | 0.111174 | ||||||||
\(651\) | 0.0272315 | − | 0.0838100i | 0.00106729 | − | 0.00328477i | ||||
\(652\) | −3.01240 | + | 2.18864i | −0.117975 | + | 0.0857136i | ||||
\(653\) | −27.5761 | − | 20.0352i | −1.07914 | − | 0.784039i | −0.101604 | − | 0.994825i | \(-0.532398\pi\) |
−0.977532 | + | 0.210786i | \(0.932398\pi\) | |||||||
\(654\) | 0.261382 | + | 0.804452i | 0.0102209 | + | 0.0314566i | ||||
\(655\) | 3.53487 | + | 10.8792i | 0.138119 | + | 0.425087i | ||||
\(656\) | −1.80069 | − | 1.30828i | −0.0703052 | − | 0.0510798i | ||||
\(657\) | −17.1148 | + | 12.4346i | −0.667712 | + | 0.485121i | ||||
\(658\) | 0.969124 | − | 2.98266i | 0.0377804 | − | 0.116276i | ||||
\(659\) | 7.54952 | 0.294088 | 0.147044 | − | 0.989130i | \(-0.453024\pi\) | ||||
0.147044 | + | 0.989130i | \(0.453024\pi\) | |||||||
\(660\) | −0.115683 | − | 0.811783i | −0.00450295 | − | 0.0315986i | ||||
\(661\) | 41.0094 | 1.59508 | 0.797541 | − | 0.603265i | \(-0.206134\pi\) | ||||
0.797541 | + | 0.603265i | \(0.206134\pi\) | |||||||
\(662\) | −7.73156 | + | 23.7953i | −0.300496 | + | 0.924830i | ||||
\(663\) | −3.26861 | + | 2.37478i | −0.126942 | + | 0.0922290i | ||||
\(664\) | −2.49353 | − | 1.81165i | −0.0967676 | − | 0.0703058i | ||||
\(665\) | −1.13391 | − | 3.48982i | −0.0439712 | − | 0.135329i | ||||
\(666\) | −2.67683 | − | 8.23843i | −0.103725 | − | 0.319233i | ||||
\(667\) | 8.21447 | + | 5.96816i | 0.318065 | + | 0.231088i | ||||
\(668\) | −12.6065 | + | 9.15918i | −0.487761 | + | 0.354379i | ||||
\(669\) | −1.77284 | + | 5.45624i | −0.0685420 | + | 0.210951i | ||||
\(670\) | 13.5466 | 0.523352 | ||||||||
\(671\) | 4.30538 | + | 30.2122i | 0.166207 | + | 1.16633i | ||||
\(672\) | −0.247235 | −0.00953728 | ||||||||
\(673\) | 14.9484 | − | 46.0065i | 0.576220 | − | 1.77342i | −0.0557690 | − | 0.998444i | \(-0.517761\pi\) |
0.631989 | − | 0.774978i | \(-0.282239\pi\) | |||||||
\(674\) | −12.8931 | + | 9.36738i | −0.496624 | + | 0.360818i | ||||
\(675\) | −1.18788 | − | 0.863043i | −0.0457214 | − | 0.0332185i | ||||
\(676\) | −1.53465 | − | 4.72315i | −0.0590248 | − | 0.181660i | ||||
\(677\) | 1.66363 | + | 5.12013i | 0.0639386 | + | 0.196783i | 0.977923 | − | 0.208967i | \(-0.0670103\pi\) |
−0.913984 | + | 0.405750i | \(0.867010\pi\) | |||||||
\(678\) | −3.36474 | − | 2.44463i | −0.129222 | − | 0.0938854i | ||||
\(679\) | −10.1352 | + | 7.36363i | −0.388952 | + | 0.282590i | ||||
\(680\) | 1.78163 | − | 5.48331i | 0.0683225 | − | 0.210275i | ||||
\(681\) | 6.32217 | 0.242266 | ||||||||
\(682\) | −0.822833 | − | 0.848793i | −0.0315079 | − | 0.0325019i | ||||
\(683\) | 12.5734 | 0.481106 | 0.240553 | − | 0.970636i | \(-0.422671\pi\) | ||||
0.240553 | + | 0.970636i | \(0.422671\pi\) | |||||||
\(684\) | −3.33242 | + | 10.2561i | −0.127418 | + | 0.392153i | ||||
\(685\) | −8.05248 | + | 5.85047i | −0.307669 | + | 0.223535i | ||||
\(686\) | −0.809017 | − | 0.587785i | −0.0308884 | − | 0.0224417i | ||||
\(687\) | −0.307509 | − | 0.946417i | −0.0117322 | − | 0.0361080i | ||||
\(688\) | 2.97898 | + | 9.16835i | 0.113572 | + | 0.349540i | ||||
\(689\) | −2.00448 | − | 1.45634i | −0.0763646 | − | 0.0554822i | ||||
\(690\) | 1.43499 | − | 1.04258i | 0.0546290 | − | 0.0396903i | ||||
\(691\) | −8.04764 | + | 24.7681i | −0.306147 | + | 0.942223i | 0.673100 | + | 0.739551i | \(0.264962\pi\) |
−0.979247 | + | 0.202671i | \(0.935038\pi\) | |||||||
\(692\) | 5.89952 | 0.224266 | ||||||||
\(693\) | −8.75243 | + | 4.28973i | −0.332477 | + | 0.162953i | ||||
\(694\) | −12.4275 | −0.471741 | ||||||||
\(695\) | 0.193823 | − | 0.596526i | 0.00735212 | − | 0.0226275i | ||||
\(696\) | 0.283079 | − | 0.205669i | 0.0107301 | − | 0.00779587i | ||||
\(697\) | 10.3819 | + | 7.54287i | 0.393242 | + | 0.285707i | ||||
\(698\) | −5.01005 | − | 15.4193i | −0.189633 | − | 0.583631i | ||||
\(699\) | 0.280938 | + | 0.864638i | 0.0106260 | + | 0.0327036i | ||||
\(700\) | −0.809017 | − | 0.587785i | −0.0305780 | − | 0.0222162i | ||||
\(701\) | 37.3401 | − | 27.1292i | 1.41032 | − | 1.02465i | 0.417040 | − | 0.908888i | \(-0.363067\pi\) |
0.993276 | − | 0.115767i | \(-0.0369326\pi\) | |||||||
\(702\) | 1.28604 | − | 3.95804i | 0.0485386 | − | 0.149386i | ||||
\(703\) | 10.8157 | 0.407921 | ||||||||
\(704\) | −1.55142 | + | 2.93140i | −0.0584714 | + | 0.110481i | ||||
\(705\) | 0.775365 | 0.0292019 | ||||||||
\(706\) | −6.74645 | + | 20.7634i | −0.253906 | + | 0.781442i | ||||
\(707\) | 4.77420 | − | 3.46866i | 0.179552 | − | 0.130452i | ||||
\(708\) | −2.09941 | − | 1.52531i | −0.0789008 | − | 0.0573248i | ||||
\(709\) | 13.7553 | + | 42.3346i | 0.516593 | + | 1.58991i | 0.780365 | + | 0.625324i | \(0.215033\pi\) |
−0.263772 | + | 0.964585i | \(0.584967\pi\) | |||||||
\(710\) | 3.86699 | + | 11.9014i | 0.145126 | + | 0.446651i | ||||
\(711\) | 14.6105 | + | 10.6152i | 0.547938 | + | 0.398100i | ||||
\(712\) | 4.65543 | − | 3.38237i | 0.174470 | − | 0.126760i | ||||
\(713\) | 0.790211 | − | 2.43202i | 0.0295936 | − | 0.0910798i | ||||
\(714\) | 1.42543 | 0.0533453 | ||||||||
\(715\) | 9.26093 | + | 1.61457i | 0.346339 | + | 0.0603817i | ||||
\(716\) | 16.3323 | 0.610367 | ||||||||
\(717\) | 0.0836145 | − | 0.257339i | 0.00312264 | − | 0.00961050i | ||||
\(718\) | 14.7326 | − | 10.7039i | 0.549817 | − | 0.399466i | ||||
\(719\) | −19.5788 | − | 14.2248i | −0.730167 | − | 0.530497i | 0.159449 | − | 0.987206i | \(-0.449028\pi\) |
−0.889616 | + | 0.456709i | \(0.849028\pi\) | |||||||
\(720\) | 0.908162 | + | 2.79504i | 0.0338452 | + | 0.104165i | ||||
\(721\) | −3.69804 | − | 11.3814i | −0.137722 | − | 0.423865i | ||||
\(722\) | 4.47824 | + | 3.25363i | 0.166663 | + | 0.121088i | ||||
\(723\) | 1.24991 | − | 0.908114i | 0.0464847 | − | 0.0337731i | ||||
\(724\) | −1.07727 | + | 3.31548i | −0.0400362 | + | 0.123219i | ||||
\(725\) | 1.41528 | 0.0525620 | ||||||||
\(726\) | 0.0844466 | − | 2.71827i | 0.00313411 | − | 0.100884i | ||||
\(727\) | −5.25083 | −0.194742 | −0.0973712 | − | 0.995248i | \(-0.531043\pi\) | ||||
−0.0973712 | + | 0.995248i | \(0.531043\pi\) | |||||||
\(728\) | 0.875876 | − | 2.69567i | 0.0324621 | − | 0.0999081i | ||||
\(729\) | 19.2183 | − | 13.9629i | 0.711787 | − | 0.517144i | ||||
\(730\) | −5.82359 | − | 4.23109i | −0.215541 | − | 0.156600i | ||||
\(731\) | −17.1753 | − | 52.8600i | −0.635250 | − | 1.95510i | ||||
\(732\) | 0.702981 | + | 2.16355i | 0.0259829 | + | 0.0799672i | ||||
\(733\) | 38.5130 | + | 27.9814i | 1.42251 | + | 1.03352i | 0.991351 | + | 0.131240i | \(0.0418958\pi\) |
0.431161 | + | 0.902275i | \(0.358104\pi\) | |||||||
\(734\) | 4.27045 | − | 3.10266i | 0.157625 | − | 0.114521i | ||||
\(735\) | 0.0763997 | − | 0.235134i | 0.00281805 | − | 0.00867305i | ||||
\(736\) | −7.17432 | −0.264449 | ||||||||
\(737\) | 44.2614 | + | 7.71665i | 1.63039 | + | 0.284247i | ||||
\(738\) | −6.54129 | −0.240788 | ||||||||
\(739\) | 8.40875 | − | 25.8795i | 0.309321 | − | 0.951991i | −0.668709 | − | 0.743524i | \(-0.733153\pi\) |
0.978029 | − | 0.208467i | \(-0.0668473\pi\) | |||||||
\(740\) | 2.38460 | − | 1.73251i | 0.0876595 | − | 0.0636884i | ||||
\(741\) | 2.08029 | + | 1.51142i | 0.0764213 | + | 0.0555233i | ||||
\(742\) | 0.270126 | + | 0.831363i | 0.00991664 | + | 0.0305203i | ||||
\(743\) | −1.63727 | − | 5.03901i | −0.0600658 | − | 0.184863i | 0.916521 | − | 0.399986i | \(-0.130985\pi\) |
−0.976587 | + | 0.215122i | \(0.930985\pi\) | |||||||
\(744\) | −0.0712930 | − | 0.0517974i | −0.00261373 | − | 0.00189899i | ||||
\(745\) | −12.1607 | + | 8.83528i | −0.445534 | + | 0.323699i | ||||
\(746\) | 5.74151 | − | 17.6705i | 0.210212 | − | 0.646965i | ||||
\(747\) | −9.05811 | −0.331419 | ||||||||
\(748\) | 8.94470 | − | 16.9009i | 0.327051 | − | 0.617960i | ||||
\(749\) | −6.28895 | −0.229793 | ||||||||
\(750\) | 0.0763997 | − | 0.235134i | 0.00278972 | − | 0.00858588i | ||||
\(751\) | 16.2309 | − | 11.7924i | 0.592273 | − | 0.430311i | −0.250855 | − | 0.968025i | \(-0.580712\pi\) |
0.843128 | + | 0.537713i | \(0.180712\pi\) | |||||||
\(752\) | −2.53720 | − | 1.84338i | −0.0925222 | − | 0.0672213i | ||||
\(753\) | 1.47387 | + | 4.53610i | 0.0537108 | + | 0.165305i | ||||
\(754\) | 1.23961 | + | 3.81511i | 0.0451438 | + | 0.138938i | ||||
\(755\) | 0.417831 | + | 0.303572i | 0.0152064 | + | 0.0110481i | ||||
\(756\) | −1.18788 | + | 0.863043i | −0.0432026 | + | 0.0313886i | ||||
\(757\) | −1.34999 | + | 4.15484i | −0.0490662 | + | 0.151010i | −0.972588 | − | 0.232537i | \(-0.925297\pi\) |
0.923522 | + | 0.383547i | \(0.125297\pi\) | |||||||
\(758\) | 22.8406 | 0.829607 | ||||||||
\(759\) | 5.28248 | − | 2.58904i | 0.191742 | − | 0.0939761i | ||||
\(760\) | −3.66941 | −0.133104 | ||||||||
\(761\) | 0.668820 | − | 2.05842i | 0.0242447 | − | 0.0746176i | −0.938202 | − | 0.346088i | \(-0.887510\pi\) |
0.962447 | + | 0.271470i | \(0.0875099\pi\) | |||||||
\(762\) | 0.0351549 | − | 0.0255416i | 0.00127353 | − | 0.000925273i | ||||
\(763\) | 2.76785 | + | 2.01096i | 0.100203 | + | 0.0728016i | ||||
\(764\) | 8.02526 | + | 24.6992i | 0.290344 | + | 0.893586i | ||||
\(765\) | −5.23600 | − | 16.1147i | −0.189308 | − | 0.582630i | ||||
\(766\) | 18.1814 | + | 13.2096i | 0.656922 | + | 0.477282i | ||||
\(767\) | 24.0685 | − | 17.4868i | 0.869062 | − | 0.631411i | ||||
\(768\) | −0.0763997 | + | 0.235134i | −0.00275684 | + | 0.00848467i | ||||
\(769\) | −32.7883 | −1.18237 | −0.591187 | − | 0.806534i | \(-0.701341\pi\) | ||||
−0.591187 | + | 0.806534i | \(0.701341\pi\) | |||||||
\(770\) | −2.30851 | − | 2.38134i | −0.0831929 | − | 0.0858176i | ||||
\(771\) | −6.24671 | −0.224970 | ||||||||
\(772\) | −0.209360 | + | 0.644343i | −0.00753502 | + | 0.0231904i | ||||
\(773\) | 5.90457 | − | 4.28992i | 0.212373 | − | 0.154298i | −0.476514 | − | 0.879167i | \(-0.658100\pi\) |
0.688887 | + | 0.724869i | \(0.258100\pi\) | |||||||
\(774\) | 22.9205 | + | 16.6527i | 0.823860 | + | 0.598569i | ||||
\(775\) | −0.110144 | − | 0.338990i | −0.00395650 | − | 0.0121769i | ||||
\(776\) | 3.87129 | + | 11.9146i | 0.138971 | + | 0.427710i | ||||
\(777\) | 0.589555 | + | 0.428337i | 0.0211502 | + | 0.0153665i | ||||
\(778\) | −29.3267 | + | 21.3071i | −1.05141 | + | 0.763895i | ||||
\(779\) | 2.52383 | − | 7.76756i | 0.0904258 | − | 0.278302i | ||||
\(780\) | 0.700760 | 0.0250912 | ||||||||
\(781\) | 5.85532 | + | 41.0886i | 0.209520 | + | 1.47027i | ||||
\(782\) | 41.3634 | 1.47915 | ||||||||
\(783\) | 0.642151 | − | 1.97634i | 0.0229486 | − | 0.0706285i | ||||
\(784\) | −0.809017 | + | 0.587785i | −0.0288935 | + | 0.0209923i | ||||
\(785\) | −18.4280 | − | 13.3887i | −0.657722 | − | 0.477863i | ||||
\(786\) | 0.873944 | + | 2.68972i | 0.0311725 | + | 0.0959392i | ||||
\(787\) | −0.258450 | − | 0.795426i | −0.00921273 | − | 0.0283539i | 0.946344 | − | 0.323160i | \(-0.104745\pi\) |
−0.955557 | + | 0.294806i | \(0.904745\pi\) | |||||||
\(788\) | −4.69887 | − | 3.41393i | −0.167390 | − | 0.121616i | ||||
\(789\) | 0.598756 | − | 0.435021i | 0.0213163 | − | 0.0154872i | ||||
\(790\) | −1.89893 | + | 5.84432i | −0.0675611 | + | 0.207932i | ||||
\(791\) | −16.8223 | −0.598131 | ||||||||
\(792\) | 1.37512 | + | 9.64966i | 0.0488628 | + | 0.342886i | ||||
\(793\) | −26.0802 | −0.926137 | ||||||||
\(794\) | −2.48138 | + | 7.63691i | −0.0880610 | + | 0.271024i | ||||
\(795\) | −0.174844 | + | 0.127032i | −0.00620108 | + | 0.00450535i | ||||
\(796\) | −8.85670 | − | 6.43477i | −0.313917 | − | 0.228074i | ||||
\(797\) | −0.628080 | − | 1.93303i | −0.0222477 | − | 0.0684715i | 0.939316 | − | 0.343052i | \(-0.111461\pi\) |
−0.961564 | + | 0.274581i | \(0.911461\pi\) | |||||||
\(798\) | −0.280342 | − | 0.862804i | −0.00992400 | − | 0.0305429i | ||||
\(799\) | 14.6282 | + | 10.6280i | 0.517508 | + | 0.375992i | ||||
\(800\) | −0.809017 | + | 0.587785i | −0.0286031 | + | 0.0207813i | ||||
\(801\) | 5.22595 | − | 16.0838i | 0.184650 | − | 0.568294i | ||||
\(802\) | 0.672421 | 0.0237440 | ||||||||
\(803\) | −16.6175 | − | 17.1417i | −0.586418 | − | 0.604919i | ||||
\(804\) | 3.34919 | 0.118117 | ||||||||
\(805\) | 2.21699 | − | 6.82318i | 0.0781385 | − | 0.240485i | ||||
\(806\) | 0.817331 | − | 0.593825i | 0.0287892 | − | 0.0209166i | ||||
\(807\) | −4.50064 | − | 3.26991i | −0.158430 | − | 0.115106i | ||||
\(808\) | −1.82358 | − | 5.61241i | −0.0641534 | − | 0.197444i | ||||
\(809\) | −13.0405 | − | 40.1344i | −0.458478 | − | 1.41105i | −0.867003 | − | 0.498303i | \(-0.833957\pi\) |
0.408525 | − | 0.912747i | \(-0.366043\pi\) | |||||||
\(810\) | 6.83912 | + | 4.96891i | 0.240302 | + | 0.174590i | ||||
\(811\) | 2.45448 | − | 1.78328i | 0.0861884 | − | 0.0626195i | −0.543857 | − | 0.839178i | \(-0.683036\pi\) |
0.630045 | + | 0.776559i | \(0.283036\pi\) | |||||||
\(812\) | 0.437344 | − | 1.34601i | 0.0153478 | − | 0.0472356i | ||||
\(813\) | 3.36947 | 0.118173 | ||||||||
\(814\) | 8.77819 | − | 4.30235i | 0.307675 | − | 0.150797i | ||||
\(815\) | −3.72353 | −0.130430 | ||||||||
\(816\) | 0.440482 | − | 1.35566i | 0.0154199 | − | 0.0474577i | ||||
\(817\) | −28.6180 | + | 20.7922i | −1.00122 | + | 0.727427i | ||||
\(818\) | 17.5868 | + | 12.7776i | 0.614908 | + | 0.446757i | ||||
\(819\) | −2.57409 | − | 7.92223i | −0.0899459 | − | 0.276825i | ||||
\(820\) | −0.687804 | − | 2.11684i | −0.0240191 | − | 0.0739233i | ||||
\(821\) | −27.9839 | − | 20.3315i | −0.976644 | − | 0.709574i | −0.0196880 | − | 0.999806i | \(-0.506267\pi\) |
−0.956956 | + | 0.290233i | \(0.906267\pi\) | |||||||
\(822\) | −1.99085 | + | 1.44644i | −0.0694389 | + | 0.0504503i | ||||
\(823\) | 15.6787 | − | 48.2540i | 0.546524 | − | 1.68203i | −0.170813 | − | 0.985303i | \(-0.554639\pi\) |
0.717337 | − | 0.696726i | \(-0.245361\pi\) | |||||||
\(824\) | −11.9671 | −0.416894 | ||||||||
\(825\) | 0.383565 | − | 0.724743i | 0.0133540 | − | 0.0252323i | ||||
\(826\) | −10.4962 | −0.365209 | ||||||||
\(827\) | −3.99220 | + | 12.2867i | −0.138822 | + | 0.427251i | −0.996165 | − | 0.0874949i | \(-0.972114\pi\) |
0.857343 | + | 0.514746i | \(0.172114\pi\) | |||||||
\(828\) | −17.0577 | + | 12.3931i | −0.592794 | + | 0.430690i | ||||
\(829\) | −10.3757 | − | 7.53841i | −0.360364 | − | 0.261820i | 0.392840 | − | 0.919607i | \(-0.371493\pi\) |
−0.753204 | + | 0.657787i | \(0.771493\pi\) | |||||||
\(830\) | −0.952443 | − | 2.93132i | −0.0330598 | − | 0.101748i | ||||
\(831\) | 1.79895 | + | 5.53659i | 0.0624048 | + | 0.192062i | ||||
\(832\) | −2.29307 | − | 1.66601i | −0.0794980 | − | 0.0577587i | ||||
\(833\) | 4.66438 | − | 3.38887i | 0.161611 | − | 0.117417i | ||||
\(834\) | 0.0479198 | − | 0.147482i | 0.00165933 | − | 0.00510688i | ||||
\(835\) | −15.5825 | −0.539255 | ||||||||
\(836\) | −11.9892 | − | 2.09023i | −0.414656 | − | 0.0722922i | ||||
\(837\) | −0.523352 | −0.0180897 | ||||||||
\(838\) | −2.28056 | + | 7.01883i | −0.0787805 | + | 0.242461i | ||||
\(839\) | 6.49497 | − | 4.71887i | 0.224231 | − | 0.162914i | −0.469998 | − | 0.882668i | \(-0.655745\pi\) |
0.694229 | + | 0.719754i | \(0.255745\pi\) | |||||||
\(840\) | −0.200017 | − | 0.145321i | −0.00690124 | − | 0.00501405i | ||||
\(841\) | −8.34253 | − | 25.6757i | −0.287673 | − | 0.885368i | ||||
\(842\) | 9.10046 | + | 28.0083i | 0.313623 | + | 0.965231i | ||||
\(843\) | −3.83706 | − | 2.78779i | −0.132155 | − | 0.0960165i | ||||
\(844\) | 5.20025 | − | 3.77820i | 0.179000 | − | 0.130051i | ||||
\(845\) | 1.53465 | − | 4.72315i | 0.0527934 | − | 0.162481i | ||||
\(846\) | −9.21676 | −0.316879 | ||||||||
\(847\) | −6.18619 | − | 9.09566i | −0.212560 | − | 0.312531i | ||||
\(848\) | 0.874146 | 0.0300183 | ||||||||
\(849\) | −1.31959 | + | 4.06128i | −0.0452883 | + | 0.139383i | ||||
\(850\) | 4.66438 | − | 3.38887i | 0.159987 | − | 0.116237i | ||||
\(851\) | 17.1078 | + | 12.4296i | 0.586449 | + | 0.426080i | ||||
\(852\) | 0.956055 | + | 2.94243i | 0.0327539 | + | 0.100806i | ||||
\(853\) | −9.32113 | − | 28.6875i | −0.319150 | − | 0.982241i | −0.974013 | − | 0.226494i | \(-0.927274\pi\) |
0.654863 | − | 0.755748i | \(-0.272726\pi\) | |||||||
\(854\) | 7.44405 | + | 5.40842i | 0.254730 | + | 0.185072i | ||||
\(855\) | −8.72439 | + | 6.33864i | −0.298368 | + | 0.216777i | ||||
\(856\) | −1.94339 | + | 5.98115i | −0.0664238 | + | 0.204431i | ||||
\(857\) | 32.8279 | 1.12138 | 0.560689 | − | 0.828026i | \(-0.310536\pi\) | ||||
0.560689 | + | 0.828026i | \(0.310536\pi\) | |||||||
\(858\) | 2.28962 | + | 0.399179i | 0.0781664 | + | 0.0136277i | ||||
\(859\) | 40.7882 | 1.39168 | 0.695838 | − | 0.718199i | \(-0.255033\pi\) | ||||
0.695838 | + | 0.718199i | \(0.255033\pi\) | |||||||
\(860\) | −2.97898 | + | 9.16835i | −0.101582 | + | 0.312638i | ||||
\(861\) | 0.445194 | − | 0.323452i | 0.0151722 | − | 0.0110232i | ||||
\(862\) | 15.9135 | + | 11.5618i | 0.542015 | + | 0.393797i | ||||
\(863\) | 12.9902 | + | 39.9796i | 0.442190 | + | 1.36092i | 0.885536 | + | 0.464571i | \(0.153792\pi\) |
−0.443345 | + | 0.896351i | \(0.646208\pi\) | |||||||
\(864\) | 0.453728 | + | 1.39643i | 0.0154362 | + | 0.0475076i | ||||
\(865\) | 4.77281 | + | 3.46765i | 0.162281 | + | 0.117904i | ||||
\(866\) | 13.7941 | − | 10.0220i | 0.468742 | − | 0.340561i | ||||
\(867\) | −1.24080 | + | 3.81878i | −0.0421397 | + | 0.129693i | ||||
\(868\) | −0.356435 | −0.0120982 | ||||||||
\(869\) | −9.53361 | + | 18.0137i | −0.323405 | + | 0.611072i | ||||
\(870\) | 0.349905 | 0.0118629 | ||||||||
\(871\) | −11.8652 | + | 36.5172i | −0.402035 | + | 1.23734i | ||||
\(872\) | 2.76785 | − | 2.01096i | 0.0937311 | − | 0.0680997i | ||||
\(873\) | 29.7860 | + | 21.6408i | 1.00810 | + | 0.732430i | ||||
\(874\) | −8.13503 | − | 25.0371i | −0.275172 | − | 0.846891i | ||||
\(875\) | −0.309017 | − | 0.951057i | −0.0104467 | − | 0.0321516i | ||||
\(876\) | −1.43979 | − | 1.04607i | −0.0486461 | − | 0.0353435i | ||||
\(877\) | 1.75054 | − | 1.27184i | 0.0591116 | − | 0.0429471i | −0.557837 | − | 0.829950i | \(-0.688369\pi\) |
0.616949 | + | 0.787003i | \(0.288369\pi\) | |||||||
\(878\) | 9.25780 | − | 28.4926i | 0.312436 | − | 0.961578i | ||||
\(879\) | 8.14187 | 0.274619 | ||||||||
\(880\) | −2.97816 | + | 1.45965i | −0.100394 | + | 0.0492047i | ||||
\(881\) | 9.74157 | 0.328202 | 0.164101 | − | 0.986444i | \(-0.447528\pi\) | ||||
0.164101 | + | 0.986444i | \(0.447528\pi\) | |||||||
\(882\) | −0.908162 | + | 2.79504i | −0.0305794 | + | 0.0941138i | ||||
\(883\) | −20.4526 | + | 14.8597i | −0.688286 | + | 0.500069i | −0.876096 | − | 0.482137i | \(-0.839861\pi\) |
0.187810 | + | 0.982205i | \(0.439861\pi\) | |||||||
\(884\) | 13.2207 | + | 9.60539i | 0.444660 | + | 0.323064i | ||||
\(885\) | −0.801904 | − | 2.46801i | −0.0269557 | − | 0.0829612i | ||||
\(886\) | 12.7610 | + | 39.2743i | 0.428714 | + | 1.31945i | ||||
\(887\) | 37.0819 | + | 26.9416i | 1.24509 | + | 0.904610i | 0.997927 | − | 0.0643637i | \(-0.0205018\pi\) |
0.247163 | + | 0.968974i | \(0.420502\pi\) | |||||||
\(888\) | 0.589555 | − | 0.428337i | 0.0197842 | − | 0.0143740i | ||||
\(889\) | 0.0543127 | − | 0.167157i | 0.00182159 | − | 0.00560628i | ||||
\(890\) | 5.75443 | 0.192889 | ||||||||
\(891\) | 19.5152 | + | 20.1309i | 0.653785 | + | 0.674411i | ||||
\(892\) | 23.2048 | 0.776955 | ||||||||
\(893\) | 3.55612 | − | 10.9446i | 0.119001 | − | 0.366247i | ||||
\(894\) | −3.00655 | + | 2.18439i | −0.100554 | + | 0.0730568i | ||||
\(895\) | 13.2131 | + | 9.59989i | 0.441666 | + | 0.320889i | ||||
\(896\) | 0.309017 | + | 0.951057i | 0.0103235 | + | 0.0317726i | ||||
\(897\) | 1.55358 | + | 4.78141i | 0.0518724 | + | 0.159647i | ||||
\(898\) | −27.4470 | − | 19.9414i | −0.915917 | − | 0.665453i | ||||
\(899\) | 0.408112 | − | 0.296510i | 0.0136113 | − | 0.00988918i | ||||
\(900\) | −0.908162 | + | 2.79504i | −0.0302721 | + | 0.0931679i | ||||
\(901\) | −5.03988 | −0.167903 | ||||||||
\(902\) | −1.04146 | − | 7.30824i | −0.0346767 | − | 0.243338i | ||||
\(903\) | −2.38339 | −0.0793141 | ||||||||
\(904\) | −5.19837 | + | 15.9989i | −0.172895 | + | 0.532117i | ||||
\(905\) | −2.82032 | + | 2.04908i | −0.0937505 | + | 0.0681137i | ||||
\(906\) | 0.103302 | + | 0.0750535i | 0.00343199 | + | 0.00249349i | ||||
\(907\) | −4.67540 | − | 14.3894i | −0.155244 | − | 0.477792i | 0.842941 | − | 0.538005i | \(-0.180822\pi\) |
−0.998186 | + | 0.0602130i | \(0.980822\pi\) | |||||||
\(908\) | −7.90204 | − | 24.3200i | −0.262238 | − | 0.807087i | ||||
\(909\) | −14.0308 | − | 10.1940i | −0.465371 | − | 0.338112i | ||||
\(910\) | 2.29307 | − | 1.66601i | 0.0760146 | − | 0.0552278i | ||||
\(911\) | 4.54462 | − | 13.9869i | 0.150570 | − | 0.463407i | −0.847115 | − | 0.531409i | \(-0.821663\pi\) |
0.997685 | + | 0.0680025i | \(0.0216626\pi\) | |||||||
\(912\) | −0.907206 | −0.0300406 | ||||||||
\(913\) | −1.44217 | − | 10.1202i | −0.0477288 | − | 0.334928i | ||||
\(914\) | 19.9928 | 0.661304 | ||||||||
\(915\) | −0.702981 | + | 2.16355i | −0.0232398 | + | 0.0715248i | ||||
\(916\) | −3.25630 | + | 2.36584i | −0.107591 | + | 0.0781695i | ||||
\(917\) | 9.25442 | + | 6.72373i | 0.305608 | + | 0.222037i | ||||
\(918\) | −2.61597 | − | 8.05111i | −0.0863397 | − | 0.265726i | ||||
\(919\) | 0.552844 | + | 1.70148i | 0.0182367 | + | 0.0561266i | 0.959761 | − | 0.280819i | \(-0.0906061\pi\) |
−0.941524 | + | 0.336946i | \(0.890606\pi\) | |||||||
\(920\) | −5.80414 | − | 4.21696i | −0.191357 | − | 0.139029i | ||||
\(921\) | −1.59453 | + | 1.15849i | −0.0525414 | + | 0.0381736i | ||||
\(922\) | −5.39973 | + | 16.6187i | −0.177831 | + | 0.547306i | ||||
\(923\) | −35.4692 | −1.16748 | ||||||||
\(924\) | −0.570744 | − | 0.588750i | −0.0187761 | − | 0.0193684i | ||||
\(925\) | 2.94752 | 0.0969140 | ||||||||
\(926\) | −12.9086 | + | 39.7285i | −0.424202 | + | 1.30556i | ||||
\(927\) | −28.4530 | + | 20.6723i | −0.934518 | + | 0.678967i | ||||
\(928\) | −1.14498 | − | 0.831879i | −0.0375859 | − | 0.0273078i | ||||
\(929\) | 15.6997 | + | 48.3187i | 0.515090 | + | 1.58528i | 0.783118 | + | 0.621873i | \(0.213628\pi\) |
−0.268028 | + | 0.963411i | \(0.586372\pi\) | |||||||
\(930\) | −0.0272315 | − | 0.0838100i | −0.000892957 | − | 0.00274824i | ||||
\(931\) | −2.96862 | − | 2.15683i | −0.0972925 | − | 0.0706871i | ||||
\(932\) | 2.97493 | − | 2.16141i | 0.0974469 | − | 0.0707993i | ||||
\(933\) | 0.306238 | − | 0.942503i | 0.0100258 | − | 0.0308562i | ||||
\(934\) | −13.7476 | −0.449836 | ||||||||
\(935\) | 17.1705 | − | 8.41559i | 0.561537 | − | 0.275219i | ||||
\(936\) | −8.32993 | −0.272272 | ||||||||
\(937\) | 17.3204 | − | 53.3067i | 0.565833 | − | 1.74146i | −0.0996302 | − | 0.995025i | \(-0.531766\pi\) |
0.665463 | − | 0.746431i | \(-0.268234\pi\) | |||||||
\(938\) | 10.9594 | − | 7.96250i | 0.357839 | − | 0.259985i | ||||
\(939\) | 1.05461 | + | 0.766220i | 0.0344159 | + | 0.0250046i | ||||
\(940\) | −0.969124 | − | 2.98266i | −0.0316093 | − | 0.0972836i | ||||
\(941\) | 9.84310 | + | 30.2940i | 0.320876 | + | 0.987555i | 0.973268 | + | 0.229673i | \(0.0737656\pi\) |
−0.652392 | + | 0.757882i | \(0.726234\pi\) | |||||||
\(942\) | −4.55603 | − | 3.31015i | −0.148443 | − | 0.107850i | ||||
\(943\) | 12.9187 | − | 9.38601i | 0.420692 | − | 0.305651i | ||||
\(944\) | −3.24350 | + | 9.98245i | −0.105567 | + | 0.324901i | ||||
\(945\) | −1.46830 | −0.0477637 | ||||||||
\(946\) | −14.9560 | + | 28.2592i | −0.486261 | + | 0.918786i | ||||
\(947\) | 16.7087 | 0.542959 | 0.271479 | − | 0.962444i | \(-0.412487\pi\) | ||||
0.271479 | + | 0.962444i | \(0.412487\pi\) | |||||||
\(948\) | −0.469482 | + | 1.44492i | −0.0152481 | + | 0.0469288i | ||||
\(949\) | 16.5063 | − | 11.9926i | 0.535819 | − | 0.389295i | ||||
\(950\) | −2.96862 | − | 2.15683i | −0.0963147 | − | 0.0699767i | ||||
\(951\) | 0.356006 | + | 1.09567i | 0.0115443 | + | 0.0355297i | ||||
\(952\) | −1.78163 | − | 5.48331i | −0.0577431 | − | 0.177715i | ||||
\(953\) | −2.40268 | − | 1.74565i | −0.0778304 | − | 0.0565471i | 0.548190 | − | 0.836354i | \(-0.315317\pi\) |
−0.626020 | + | 0.779807i | \(0.715317\pi\) | |||||||
\(954\) | 2.07837 | − | 1.51002i | 0.0672897 | − | 0.0488888i | ||||
\(955\) | −8.02526 | + | 24.6992i | −0.259691 | + | 0.799248i | ||||
\(956\) | −1.09444 | −0.0353966 | ||||||||
\(957\) | 1.14326 | + | 0.199319i | 0.0369563 | + | 0.00644307i | ||||
\(958\) | −20.6636 | −0.667611 | ||||||||
\(959\) | −3.07577 | + | 9.46626i | −0.0993219 | + | 0.305681i | ||||
\(960\) | −0.200017 | + | 0.145321i | −0.00645552 | + | 0.00469021i | ||||
\(961\) | 24.9767 | + | 18.1467i | 0.805701 | + | 0.585376i | ||||
\(962\) | 2.58166 | + | 7.94554i | 0.0832362 | + | 0.256175i | ||||
\(963\) | 5.71139 | + | 17.5778i | 0.184047 | + | 0.566438i | ||||
\(964\) | −5.05557 | − | 3.67308i | −0.162829 | − | 0.118302i | ||||
\(965\) | −0.548111 | + | 0.398226i | −0.0176443 | + | 0.0128193i | ||||
\(966\) | 0.548116 | − | 1.68693i | 0.0176353 | − | 0.0542760i | ||||
\(967\) | −20.4576 | −0.657873 | −0.328936 | − | 0.944352i | \(-0.606690\pi\) | ||||
−0.328936 | + | 0.944352i | \(0.606690\pi\) | |||||||
\(968\) | −10.5621 | + | 3.07270i | −0.339480 | + | 0.0987603i | ||||
\(969\) | 5.23049 | 0.168027 | ||||||||
\(970\) | −3.87129 | + | 11.9146i | −0.124300 | + | 0.382555i | ||||
\(971\) | 48.5583 | − | 35.2796i | 1.55831 | − | 1.13218i | 0.620930 | − | 0.783866i | \(-0.286755\pi\) |
0.937379 | − | 0.348312i | \(-0.113245\pi\) | |||||||
\(972\) | 5.25450 | + | 3.81761i | 0.168538 | + | 0.122450i | ||||
\(973\) | −0.193823 | − | 0.596526i | −0.00621368 | − | 0.0191237i | ||||
\(974\) | −6.83080 | − | 21.0230i | −0.218873 | − | 0.673621i | ||||
\(975\) | 0.566927 | + | 0.411896i | 0.0181562 | + | 0.0131912i | ||||
\(976\) | 7.44405 | − | 5.40842i | 0.238278 | − | 0.173119i | ||||
\(977\) | 5.18500 | − | 15.9578i | 0.165883 | − | 0.510535i | −0.833217 | − | 0.552946i | \(-0.813504\pi\) |
0.999100 | + | 0.0424105i | \(0.0135037\pi\) | |||||||
\(978\) | −0.920586 | −0.0294371 | ||||||||
\(979\) | 18.8017 | + | 3.27793i | 0.600904 | + | 0.104763i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | 3.10705 | − | 9.56251i | 0.0992004 | − | 0.305308i | ||||
\(982\) | −8.65440 | + | 6.28779i | −0.276173 | + | 0.200652i | ||||
\(983\) | −39.3229 | − | 28.5697i | −1.25421 | − | 0.911233i | −0.255747 | − | 0.966744i | \(-0.582321\pi\) |
−0.998458 | + | 0.0555104i | \(0.982321\pi\) | |||||||
\(984\) | −0.170049 | − | 0.523357i | −0.00542096 | − | 0.0166840i | ||||
\(985\) | −1.79481 | − | 5.52385i | −0.0571873 | − | 0.176005i | ||||
\(986\) | 6.60138 | + | 4.79619i | 0.210231 | + | 0.152742i | ||||
\(987\) | 0.627284 | − | 0.455748i | 0.0199667 | − | 0.0145066i | ||||
\(988\) | 3.21395 | − | 9.89152i | 0.102249 | − | 0.314691i | ||||
\(989\) | −69.1617 | −2.19921 | ||||||||
\(990\) | −4.55943 | + | 8.61501i | −0.144908 | + | 0.273803i | ||||
\(991\) | 55.7217 | 1.77006 | 0.885028 | − | 0.465537i | \(-0.154139\pi\) | ||||
0.885028 | + | 0.465537i | \(0.154139\pi\) | |||||||
\(992\) | −0.110144 | + | 0.338990i | −0.00349709 | + | 0.0107629i | ||||
\(993\) | −5.00440 | + | 3.63591i | −0.158810 | + | 0.115382i | ||||
\(994\) | 10.1239 | + | 7.35546i | 0.321111 | + | 0.233301i | ||||
\(995\) | −3.38296 | − | 10.4117i | −0.107247 | − | 0.330072i | ||||
\(996\) | −0.235477 | − | 0.724723i | −0.00746137 | − | 0.0229637i | ||||
\(997\) | −31.3954 | − | 22.8101i | −0.994303 | − | 0.722403i | −0.0334436 | − | 0.999441i | \(-0.510647\pi\) |
−0.960859 | + | 0.277037i | \(0.910647\pi\) | |||||||
\(998\) | −1.50322 | + | 1.09216i | −0.0475837 | + | 0.0345716i | ||||
\(999\) | 1.33737 | − | 4.11602i | 0.0423127 | − | 0.130225i |
(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.h.141.2 | yes | 12 | |
11.4 | even | 5 | 8470.2.a.da.1.4 | 6 | |||
11.5 | even | 5 | inner | 770.2.n.h.71.2 | ✓ | 12 | |
11.7 | odd | 10 | 8470.2.a.cu.1.4 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.h.71.2 | ✓ | 12 | 11.5 | even | 5 | inner | |
770.2.n.h.141.2 | yes | 12 | 1.1 | even | 1 | trivial | |
8470.2.a.cu.1.4 | 6 | 11.7 | odd | 10 | |||
8470.2.a.da.1.4 | 6 | 11.4 | even | 5 |