Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(109,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.z (of order \(10\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 349.11 | ||
Character | \(\chi\) | \(=\) | 930.349 |
Dual form | 930.2.z.d.469.11 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.951057 | + | 0.309017i | 0.672499 | + | 0.218508i | ||||
\(3\) | 0.951057 | − | 0.309017i | 0.549093 | − | 0.178411i | ||||
\(4\) | 0.809017 | + | 0.587785i | 0.404508 | + | 0.293893i | ||||
\(5\) | −2.16020 | − | 0.577517i | −0.966072 | − | 0.258274i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | −2.84298 | + | 3.91303i | −1.07455 | + | 1.47899i | −0.209160 | + | 0.977881i | \(0.567073\pi\) |
−0.865387 | + | 0.501105i | \(0.832927\pi\) | |||||||
\(8\) | 0.587785 | + | 0.809017i | 0.207813 | + | 0.286031i | ||||
\(9\) | 0.809017 | − | 0.587785i | 0.269672 | − | 0.195928i | ||||
\(10\) | −1.87601 | − | 1.21679i | −0.593247 | − | 0.384783i | ||||
\(11\) | −4.06169 | − | 2.95099i | −1.22464 | − | 0.889757i | −0.228168 | − | 0.973622i | \(-0.573274\pi\) |
−0.996477 | + | 0.0838651i | \(0.973274\pi\) | |||||||
\(12\) | 0.951057 | + | 0.309017i | 0.274546 | + | 0.0892055i | ||||
\(13\) | −3.01750 | + | 0.980445i | −0.836904 | + | 0.271927i | −0.695951 | − | 0.718090i | \(-0.745017\pi\) |
−0.140953 | + | 0.990016i | \(0.545017\pi\) | |||||||
\(14\) | −3.91303 | + | 2.84298i | −1.04580 | + | 0.759819i | ||||
\(15\) | −2.23294 | + | 0.118288i | −0.576542 | + | 0.0305417i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −2.37230 | − | 3.26519i | −0.575368 | − | 0.791926i | 0.417810 | − | 0.908534i | \(-0.362798\pi\) |
−0.993178 | + | 0.116608i | \(0.962798\pi\) | |||||||
\(18\) | 0.951057 | − | 0.309017i | 0.224166 | − | 0.0728360i | ||||
\(19\) | −2.13430 | + | 6.56870i | −0.489642 | + | 1.50696i | 0.335501 | + | 0.942040i | \(0.391095\pi\) |
−0.825143 | + | 0.564924i | \(0.808905\pi\) | |||||||
\(20\) | −1.40818 | − | 1.73696i | −0.314880 | − | 0.388395i | ||||
\(21\) | −1.49464 | + | 4.60004i | −0.326158 | + | 1.00381i | ||||
\(22\) | −2.95099 | − | 4.06169i | −0.629153 | − | 0.865955i | ||||
\(23\) | 2.30085 | + | 3.16685i | 0.479760 | + | 0.660334i | 0.978459 | − | 0.206442i | \(-0.0661885\pi\) |
−0.498698 | + | 0.866776i | \(0.666188\pi\) | |||||||
\(24\) | 0.809017 | + | 0.587785i | 0.165140 | + | 0.119981i | ||||
\(25\) | 4.33295 | + | 2.49511i | 0.866589 | + | 0.499022i | ||||
\(26\) | −3.17279 | −0.622235 | ||||||||
\(27\) | 0.587785 | − | 0.809017i | 0.113119 | − | 0.155695i | ||||
\(28\) | −4.60004 | + | 1.49464i | −0.869326 | + | 0.282461i | ||||
\(29\) | −0.619555 | + | 1.90680i | −0.115049 | + | 0.354083i | −0.991957 | − | 0.126574i | \(-0.959602\pi\) |
0.876909 | + | 0.480657i | \(0.159602\pi\) | |||||||
\(30\) | −2.16020 | − | 0.577517i | −0.394397 | − | 0.105440i | ||||
\(31\) | −5.14971 | − | 2.11671i | −0.924916 | − | 0.380172i | ||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −4.77480 | − | 1.55143i | −0.831186 | − | 0.270069i | ||||
\(34\) | −1.24719 | − | 3.83847i | −0.213892 | − | 0.658292i | ||||
\(35\) | 8.40126 | − | 6.81106i | 1.42007 | − | 1.15128i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 3.60356i | − | 0.592421i | −0.955123 | − | 0.296211i | \(-0.904277\pi\) | ||
0.955123 | − | 0.296211i | \(-0.0957230\pi\) | |||||||
\(38\) | −4.05968 | + | 5.58767i | −0.658567 | + | 0.906440i | ||||
\(39\) | −2.56684 | + | 1.86492i | −0.411023 | + | 0.298626i | ||||
\(40\) | −0.802514 | − | 2.08710i | −0.126889 | − | 0.329999i | ||||
\(41\) | 2.28478 | − | 7.03185i | 0.356823 | − | 1.09819i | −0.598121 | − | 0.801406i | \(-0.704086\pi\) |
0.954945 | − | 0.296784i | \(-0.0959141\pi\) | |||||||
\(42\) | −2.84298 | + | 3.91303i | −0.438682 | + | 0.603794i | ||||
\(43\) | 11.4334 | + | 3.71495i | 1.74358 | + | 0.566524i | 0.995299 | − | 0.0968550i | \(-0.0308783\pi\) |
0.748283 | + | 0.663379i | \(0.230878\pi\) | |||||||
\(44\) | −1.55143 | − | 4.77480i | −0.233886 | − | 0.719828i | ||||
\(45\) | −2.08710 | + | 0.802514i | −0.311126 | + | 0.119632i | ||||
\(46\) | 1.20963 | + | 3.72285i | 0.178350 | + | 0.548905i | ||||
\(47\) | −1.46040 | + | 0.474514i | −0.213022 | + | 0.0692149i | −0.413584 | − | 0.910466i | \(-0.635723\pi\) |
0.200562 | + | 0.979681i | \(0.435723\pi\) | |||||||
\(48\) | 0.587785 | + | 0.809017i | 0.0848395 | + | 0.116772i | ||||
\(49\) | −5.06613 | − | 15.5920i | −0.723733 | − | 2.22742i | ||||
\(50\) | 3.34985 | + | 3.71194i | 0.473740 | + | 0.524948i | ||||
\(51\) | −3.26519 | − | 2.37230i | −0.457219 | − | 0.332189i | ||||
\(52\) | −3.01750 | − | 0.980445i | −0.418452 | − | 0.135963i | ||||
\(53\) | 6.36945 | + | 8.76680i | 0.874912 | + | 1.20421i | 0.977804 | + | 0.209520i | \(0.0671902\pi\) |
−0.102893 | + | 0.994692i | \(0.532810\pi\) | |||||||
\(54\) | 0.809017 | − | 0.587785i | 0.110093 | − | 0.0799874i | ||||
\(55\) | 7.06982 | + | 8.72043i | 0.953294 | + | 1.17586i | ||||
\(56\) | −4.83677 | −0.646341 | ||||||||
\(57\) | 6.90674i | 0.914821i | ||||||||
\(58\) | −1.17846 | + | 1.62202i | −0.154740 | + | 0.212981i | ||||
\(59\) | 0.287936 | + | 0.886175i | 0.0374861 | + | 0.115370i | 0.968049 | − | 0.250763i | \(-0.0806815\pi\) |
−0.930562 | + | 0.366133i | \(0.880681\pi\) | |||||||
\(60\) | −1.87601 | − | 1.21679i | −0.242192 | − | 0.157087i | ||||
\(61\) | −11.1468 | −1.42720 | −0.713601 | − | 0.700552i | \(-0.752937\pi\) | ||||
−0.713601 | + | 0.700552i | \(0.752937\pi\) | |||||||
\(62\) | −4.24357 | − | 3.60446i | −0.538934 | − | 0.457767i | ||||
\(63\) | 4.83677i | 0.609376i | ||||||||
\(64\) | −0.309017 | + | 0.951057i | −0.0386271 | + | 0.118882i | ||||
\(65\) | 7.08464 | − | 0.375301i | 0.878741 | − | 0.0465504i | ||||
\(66\) | −4.06169 | − | 2.95099i | −0.499959 | − | 0.363242i | ||||
\(67\) | 3.35915i | 0.410385i | 0.978722 | + | 0.205193i | \(0.0657821\pi\) | ||||
−0.978722 | + | 0.205193i | \(0.934218\pi\) | |||||||
\(68\) | − | 4.03600i | − | 0.489437i | ||||||
\(69\) | 3.16685 | + | 2.30085i | 0.381244 | + | 0.276990i | ||||
\(70\) | 10.0948 | − | 3.88157i | 1.20656 | − | 0.463937i | ||||
\(71\) | −9.12291 | + | 6.62818i | −1.08269 | + | 0.786620i | −0.978150 | − | 0.207900i | \(-0.933337\pi\) |
−0.104540 | + | 0.994521i | \(0.533337\pi\) | |||||||
\(72\) | 0.951057 | + | 0.309017i | 0.112083 | + | 0.0364180i | ||||
\(73\) | −1.44366 | + | 1.98703i | −0.168968 | + | 0.232564i | −0.885101 | − | 0.465400i | \(-0.845911\pi\) |
0.716133 | + | 0.697964i | \(0.245911\pi\) | |||||||
\(74\) | 1.11356 | − | 3.42719i | 0.129449 | − | 0.398402i | ||||
\(75\) | 4.89191 | + | 1.03404i | 0.564869 | + | 0.119400i | ||||
\(76\) | −5.58767 | + | 4.05968i | −0.640950 | + | 0.465677i | ||||
\(77\) | 23.0946 | − | 7.50390i | 2.63188 | − | 0.855148i | ||||
\(78\) | −3.01750 | + | 0.980445i | −0.341665 | + | 0.111014i | ||||
\(79\) | −6.66791 | + | 4.84452i | −0.750198 | + | 0.545051i | −0.895888 | − | 0.444280i | \(-0.853460\pi\) |
0.145690 | + | 0.989330i | \(0.453460\pi\) | |||||||
\(80\) | −0.118288 | − | 2.23294i | −0.0132249 | − | 0.249650i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 4.34592 | − | 5.98164i | 0.479927 | − | 0.660562i | ||||
\(83\) | −6.20586 | − | 2.01641i | −0.681182 | − | 0.221329i | −0.0520689 | − | 0.998643i | \(-0.516582\pi\) |
−0.629113 | + | 0.777314i | \(0.716582\pi\) | |||||||
\(84\) | −3.91303 | + | 2.84298i | −0.426947 | + | 0.310195i | ||||
\(85\) | 3.23895 | + | 8.42353i | 0.351313 | + | 0.913660i | ||||
\(86\) | 9.72586 | + | 7.06625i | 1.04877 | + | 0.761973i | ||||
\(87\) | 2.00492i | 0.214950i | ||||||||
\(88\) | − | 5.02052i | − | 0.535189i | ||||||
\(89\) | 13.9569 | + | 10.1403i | 1.47943 | + | 1.07487i | 0.977741 | + | 0.209814i | \(0.0672859\pi\) |
0.501684 | + | 0.865051i | \(0.332714\pi\) | |||||||
\(90\) | −2.23294 | + | 0.118288i | −0.235372 | + | 0.0124686i | ||||
\(91\) | 4.74219 | − | 14.5950i | 0.497117 | − | 1.52997i | ||||
\(92\) | 3.91444i | 0.408109i | ||||||||
\(93\) | −5.55177 | − | 0.421763i | −0.575691 | − | 0.0437348i | ||||
\(94\) | −1.53556 | −0.158381 | ||||||||
\(95\) | 8.40406 | − | 12.9571i | 0.862239 | − | 1.32937i | ||||
\(96\) | 0.309017 | + | 0.951057i | 0.0315389 | + | 0.0970668i | ||||
\(97\) | 0.0295729 | − | 0.0407037i | 0.00300268 | − | 0.00413283i | −0.807513 | − | 0.589850i | \(-0.799187\pi\) |
0.810516 | + | 0.585717i | \(0.199187\pi\) | |||||||
\(98\) | − | 16.3944i | − | 1.65608i | ||||||
\(99\) | −5.02052 | −0.504581 | ||||||||
\(100\) | 2.03884 | + | 4.56543i | 0.203884 | + | 0.456543i | ||||
\(101\) | −3.16788 | + | 2.30160i | −0.315216 | + | 0.229018i | −0.734131 | − | 0.679007i | \(-0.762410\pi\) |
0.418915 | + | 0.908025i | \(0.362410\pi\) | |||||||
\(102\) | −2.37230 | − | 3.26519i | −0.234893 | − | 0.323302i | ||||
\(103\) | 7.54614 | + | 2.45189i | 0.743544 | + | 0.241592i | 0.656201 | − | 0.754586i | \(-0.272162\pi\) |
0.0873429 | + | 0.996178i | \(0.472162\pi\) | |||||||
\(104\) | −2.56684 | − | 1.86492i | −0.251699 | − | 0.182870i | ||||
\(105\) | 5.88534 | − | 9.07384i | 0.574350 | − | 0.885516i | ||||
\(106\) | 3.34862 | + | 10.3060i | 0.325247 | + | 1.00101i | ||||
\(107\) | 2.51753 | + | 3.46508i | 0.243379 | + | 0.334982i | 0.913179 | − | 0.407560i | \(-0.133620\pi\) |
−0.669800 | + | 0.742542i | \(0.733620\pi\) | |||||||
\(108\) | 0.951057 | − | 0.309017i | 0.0915155 | − | 0.0297352i | ||||
\(109\) | −2.35215 | − | 7.23917i | −0.225295 | − | 0.693386i | −0.998262 | − | 0.0589397i | \(-0.981228\pi\) |
0.772967 | − | 0.634447i | \(-0.218772\pi\) | |||||||
\(110\) | 4.02904 | + | 10.4783i | 0.384154 | + | 0.999068i | ||||
\(111\) | −1.11356 | − | 3.42719i | −0.105694 | − | 0.325294i | ||||
\(112\) | −4.60004 | − | 1.49464i | −0.434663 | − | 0.141231i | ||||
\(113\) | 0.384475 | − | 0.529184i | 0.0361683 | − | 0.0497814i | −0.790550 | − | 0.612398i | \(-0.790205\pi\) |
0.826718 | + | 0.562616i | \(0.190205\pi\) | |||||||
\(114\) | −2.13430 | + | 6.56870i | −0.199896 | + | 0.615215i | ||||
\(115\) | −3.14139 | − | 8.16981i | −0.292936 | − | 0.761839i | ||||
\(116\) | −1.62202 | + | 1.17846i | −0.150601 | + | 0.109418i | ||||
\(117\) | −1.86492 | + | 2.56684i | −0.172412 | + | 0.237304i | ||||
\(118\) | 0.931780i | 0.0857773i | ||||||||
\(119\) | 19.5212 | 1.78951 | ||||||||
\(120\) | −1.40818 | − | 1.73696i | −0.128549 | − | 0.158562i | ||||
\(121\) | 4.38979 | + | 13.5104i | 0.399071 | + | 1.22822i | ||||
\(122\) | −10.6012 | − | 3.44455i | −0.959792 | − | 0.311855i | ||||
\(123\) | − | 7.39372i | − | 0.666669i | ||||||
\(124\) | −2.92203 | − | 4.73938i | −0.262406 | − | 0.425609i | ||||
\(125\) | −7.91907 | − | 7.89229i | −0.708303 | − | 0.705908i | ||||
\(126\) | −1.49464 | + | 4.60004i | −0.133154 | + | 0.409804i | ||||
\(127\) | 4.78294 | − | 1.55407i | 0.424417 | − | 0.137902i | −0.0890176 | − | 0.996030i | \(-0.528373\pi\) |
0.513435 | + | 0.858128i | \(0.328373\pi\) | |||||||
\(128\) | −0.587785 | + | 0.809017i | −0.0519534 | + | 0.0715077i | ||||
\(129\) | 12.0218 | 1.05846 | ||||||||
\(130\) | 6.85386 | + | 1.83234i | 0.601124 | + | 0.160707i | ||||
\(131\) | −14.5644 | − | 10.5816i | −1.27250 | − | 0.924522i | −0.273197 | − | 0.961958i | \(-0.588081\pi\) |
−0.999299 | + | 0.0374359i | \(0.988081\pi\) | |||||||
\(132\) | −2.95099 | − | 4.06169i | −0.256851 | − | 0.353525i | ||||
\(133\) | −19.6358 | − | 27.0263i | −1.70264 | − | 2.34348i | ||||
\(134\) | −1.03803 | + | 3.19474i | −0.0896725 | + | 0.275983i | ||||
\(135\) | −1.73696 | + | 1.40818i | −0.149493 | + | 0.121197i | ||||
\(136\) | 1.24719 | − | 3.83847i | 0.106946 | − | 0.329146i | ||||
\(137\) | −1.35038 | + | 0.438766i | −0.115371 | + | 0.0374863i | −0.366134 | − | 0.930562i | \(-0.619319\pi\) |
0.250763 | + | 0.968049i | \(0.419319\pi\) | |||||||
\(138\) | 2.30085 | + | 3.16685i | 0.195861 | + | 0.269580i | ||||
\(139\) | −0.326451 | − | 1.00471i | −0.0276892 | − | 0.0852187i | 0.936257 | − | 0.351316i | \(-0.114266\pi\) |
−0.963946 | + | 0.266097i | \(0.914266\pi\) | |||||||
\(140\) | 10.8002 | − | 0.572130i | 0.912784 | − | 0.0483538i | ||||
\(141\) | −1.24229 | + | 0.902579i | −0.104620 | + | 0.0760108i | ||||
\(142\) | −10.7246 | + | 3.48464i | −0.899990 | + | 0.292425i | ||||
\(143\) | 15.1494 | + | 4.92235i | 1.26686 | + | 0.411627i | ||||
\(144\) | 0.809017 | + | 0.587785i | 0.0674181 | + | 0.0489821i | ||||
\(145\) | 2.43957 | − | 3.76126i | 0.202595 | − | 0.312356i | ||||
\(146\) | −1.98703 | + | 1.44366i | −0.164448 | + | 0.119478i | ||||
\(147\) | −9.63636 | − | 13.2633i | −0.794794 | − | 1.09394i | ||||
\(148\) | 2.11812 | − | 2.91534i | 0.174108 | − | 0.239639i | ||||
\(149\) | −1.55255 | −0.127190 | −0.0635950 | − | 0.997976i | \(-0.520257\pi\) | ||||
−0.0635950 | + | 0.997976i | \(0.520257\pi\) | |||||||
\(150\) | 4.33295 | + | 2.49511i | 0.353784 | + | 0.203725i | ||||
\(151\) | −5.97239 | − | 4.33919i | −0.486026 | − | 0.353119i | 0.317628 | − | 0.948215i | \(-0.397114\pi\) |
−0.803654 | + | 0.595097i | \(0.797114\pi\) | |||||||
\(152\) | −6.56870 | + | 2.13430i | −0.532792 | + | 0.173115i | ||||
\(153\) | −3.83847 | − | 1.24719i | −0.310322 | − | 0.100830i | ||||
\(154\) | 24.2831 | 1.95679 | ||||||||
\(155\) | 9.90198 | + | 7.54657i | 0.795346 | + | 0.606155i | ||||
\(156\) | −3.17279 | −0.254026 | ||||||||
\(157\) | 6.71392 | + | 2.18149i | 0.535830 | + | 0.174102i | 0.564417 | − | 0.825490i | \(-0.309101\pi\) |
−0.0285876 | + | 0.999591i | \(0.509101\pi\) | |||||||
\(158\) | −7.83859 | + | 2.54691i | −0.623605 | + | 0.202622i | ||||
\(159\) | 8.76680 | + | 6.36945i | 0.695253 | + | 0.505131i | ||||
\(160\) | 0.577517 | − | 2.16020i | 0.0456568 | − | 0.170779i | ||||
\(161\) | −18.9333 | −1.49215 | ||||||||
\(162\) | 0.587785 | − | 0.809017i | 0.0461808 | − | 0.0635624i | ||||
\(163\) | −9.90438 | − | 13.6322i | −0.775771 | − | 1.06776i | −0.995736 | − | 0.0922492i | \(-0.970594\pi\) |
0.219965 | − | 0.975508i | \(-0.429406\pi\) | |||||||
\(164\) | 5.98164 | − | 4.34592i | 0.467088 | − | 0.339359i | ||||
\(165\) | 9.41856 | + | 6.10893i | 0.733234 | + | 0.475579i | ||||
\(166\) | −5.27902 | − | 3.83543i | −0.409731 | − | 0.297687i | ||||
\(167\) | 22.6794 | + | 7.36899i | 1.75499 | + | 0.570229i | 0.996661 | − | 0.0816482i | \(-0.0260184\pi\) |
0.758324 | + | 0.651878i | \(0.226018\pi\) | |||||||
\(168\) | −4.60004 | + | 1.49464i | −0.354901 | + | 0.115314i | ||||
\(169\) | −2.37318 | + | 1.72422i | −0.182553 | + | 0.132632i | ||||
\(170\) | 0.477409 | + | 9.01214i | 0.0366156 | + | 0.691200i | ||||
\(171\) | 2.13430 | + | 6.56870i | 0.163214 | + | 0.502321i | ||||
\(172\) | 7.06625 | + | 9.72586i | 0.538796 | + | 0.741590i | ||||
\(173\) | −14.4925 | + | 4.70890i | −1.10185 | + | 0.358011i | −0.802812 | − | 0.596232i | \(-0.796664\pi\) |
−0.299033 | + | 0.954243i | \(0.596664\pi\) | |||||||
\(174\) | −0.619555 | + | 1.90680i | −0.0469684 | + | 0.144554i | ||||
\(175\) | −22.0819 | + | 9.86140i | −1.66924 | + | 0.745452i | ||||
\(176\) | 1.55143 | − | 4.77480i | 0.116943 | − | 0.359914i | ||||
\(177\) | 0.547687 | + | 0.753826i | 0.0411666 | + | 0.0566610i | ||||
\(178\) | 10.1403 | + | 13.9569i | 0.760045 | + | 1.04611i | ||||
\(179\) | −5.58006 | − | 4.05415i | −0.417073 | − | 0.303021i | 0.359386 | − | 0.933189i | \(-0.382986\pi\) |
−0.776459 | + | 0.630168i | \(0.782986\pi\) | |||||||
\(180\) | −2.16020 | − | 0.577517i | −0.161012 | − | 0.0430456i | ||||
\(181\) | 4.82036 | 0.358295 | 0.179147 | − | 0.983822i | \(-0.442666\pi\) | ||||
0.179147 | + | 0.983822i | \(0.442666\pi\) | |||||||
\(182\) | 9.02018 | − | 12.4152i | 0.668620 | − | 0.920277i | ||||
\(183\) | −10.6012 | + | 3.44455i | −0.783667 | + | 0.254629i | ||||
\(184\) | −1.20963 | + | 3.72285i | −0.0891750 | + | 0.274452i | ||||
\(185\) | −2.08112 | + | 7.78441i | −0.153007 | + | 0.572321i | ||||
\(186\) | −5.14971 | − | 2.11671i | −0.377595 | − | 0.155205i | ||||
\(187\) | 20.2628i | 1.48177i | ||||||||
\(188\) | −1.46040 | − | 0.474514i | −0.106511 | − | 0.0346075i | ||||
\(189\) | 1.49464 | + | 4.60004i | 0.108719 | + | 0.334604i | ||||
\(190\) | 11.9967 | − | 9.72597i | 0.870333 | − | 0.705596i | ||||
\(191\) | −3.93520 | −0.284741 | −0.142371 | − | 0.989813i | \(-0.545472\pi\) | ||||
−0.142371 | + | 0.989813i | \(0.545472\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | −4.83823 | + | 6.65925i | −0.348263 | + | 0.479343i | −0.946832 | − | 0.321728i | \(-0.895736\pi\) |
0.598569 | + | 0.801071i | \(0.295736\pi\) | |||||||
\(194\) | 0.0407037 | − | 0.0295729i | 0.00292235 | − | 0.00212321i | ||||
\(195\) | 6.62191 | − | 2.54621i | 0.474205 | − | 0.182338i | ||||
\(196\) | 5.06613 | − | 15.5920i | 0.361867 | − | 1.11371i | ||||
\(197\) | 5.02036 | − | 6.90993i | 0.357686 | − | 0.492312i | −0.591816 | − | 0.806073i | \(-0.701589\pi\) |
0.949502 | + | 0.313761i | \(0.101589\pi\) | |||||||
\(198\) | −4.77480 | − | 1.55143i | −0.339330 | − | 0.110255i | ||||
\(199\) | 3.12724 | + | 9.62465i | 0.221684 | + | 0.682273i | 0.998611 | + | 0.0526830i | \(0.0167773\pi\) |
−0.776927 | + | 0.629590i | \(0.783223\pi\) | |||||||
\(200\) | 0.528257 | + | 4.97202i | 0.0373534 | + | 0.351575i | ||||
\(201\) | 1.03803 | + | 3.19474i | 0.0732173 | + | 0.225340i | ||||
\(202\) | −3.72407 | + | 1.21002i | −0.262025 | + | 0.0851369i | ||||
\(203\) | −5.69996 | − | 7.84533i | −0.400059 | − | 0.550634i | ||||
\(204\) | −1.24719 | − | 3.83847i | −0.0873210 | − | 0.268746i | ||||
\(205\) | −8.99661 | + | 13.8707i | −0.628351 | + | 0.968772i | ||||
\(206\) | 6.41913 | + | 4.66377i | 0.447242 | + | 0.324941i | ||||
\(207\) | 3.72285 | + | 1.20963i | 0.258756 | + | 0.0840750i | ||||
\(208\) | −1.86492 | − | 2.56684i | −0.129309 | − | 0.177978i | ||||
\(209\) | 28.0530 | − | 20.3817i | 1.94047 | − | 1.40983i | ||||
\(210\) | 8.40126 | − | 6.81106i | 0.579742 | − | 0.470008i | ||||
\(211\) | 21.8889 | 1.50689 | 0.753446 | − | 0.657510i | \(-0.228390\pi\) | ||||
0.753446 | + | 0.657510i | \(0.228390\pi\) | |||||||
\(212\) | 10.8364i | 0.744244i | ||||||||
\(213\) | −6.62818 | + | 9.12291i | −0.454155 | + | 0.625091i | ||||
\(214\) | 1.32354 | + | 4.07344i | 0.0904755 | + | 0.278455i | ||||
\(215\) | −22.5531 | − | 14.6280i | −1.53811 | − | 0.997624i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 22.9233 | − | 14.1332i | 1.55613 | − | 0.959425i | ||||
\(218\) | − | 7.61171i | − | 0.515530i | ||||||
\(219\) | −0.758978 | + | 2.33590i | −0.0512870 | + | 0.157845i | ||||
\(220\) | 0.593865 | + | 11.2105i | 0.0400384 | + | 0.755812i | ||||
\(221\) | 10.3598 | + | 7.52681i | 0.696874 | + | 0.506308i | ||||
\(222\) | − | 3.60356i | − | 0.241855i | ||||||
\(223\) | 23.0876i | 1.54606i | 0.634368 | + | 0.773031i | \(0.281260\pi\) | ||||
−0.634368 | + | 0.773031i | \(0.718740\pi\) | |||||||
\(224\) | −3.91303 | − | 2.84298i | −0.261450 | − | 0.189955i | ||||
\(225\) | 4.97202 | − | 0.528257i | 0.331468 | − | 0.0352171i | ||||
\(226\) | 0.529184 | − | 0.384475i | 0.0352008 | − | 0.0255749i | ||||
\(227\) | 1.28927 | + | 0.418908i | 0.0855716 | + | 0.0278039i | 0.351490 | − | 0.936192i | \(-0.385675\pi\) |
−0.265918 | + | 0.963996i | \(0.585675\pi\) | |||||||
\(228\) | −4.05968 | + | 5.58767i | −0.268859 | + | 0.370053i | ||||
\(229\) | −4.07177 | + | 12.5316i | −0.269070 | + | 0.828113i | 0.721658 | + | 0.692250i | \(0.243381\pi\) |
−0.990728 | + | 0.135862i | \(0.956619\pi\) | |||||||
\(230\) | −0.463029 | − | 8.74070i | −0.0305313 | − | 0.576345i | ||||
\(231\) | 19.6455 | − | 14.2733i | 1.29258 | − | 0.939111i | ||||
\(232\) | −1.90680 | + | 0.619555i | −0.125187 | + | 0.0406758i | ||||
\(233\) | −1.28916 | + | 0.418873i | −0.0844557 | + | 0.0274413i | −0.350940 | − | 0.936398i | \(-0.614138\pi\) |
0.266484 | + | 0.963839i | \(0.414138\pi\) | |||||||
\(234\) | −2.56684 | + | 1.86492i | −0.167800 | + | 0.121914i | ||||
\(235\) | 3.42881 | − | 0.181637i | 0.223671 | − | 0.0118487i | ||||
\(236\) | −0.287936 | + | 0.886175i | −0.0187430 | + | 0.0576851i | ||||
\(237\) | −4.84452 | + | 6.66791i | −0.314685 | + | 0.433127i | ||||
\(238\) | 18.5658 | + | 6.03239i | 1.20344 | + | 0.391022i | ||||
\(239\) | 14.0630 | − | 10.2174i | 0.909660 | − | 0.660906i | −0.0312691 | − | 0.999511i | \(-0.509955\pi\) |
0.940929 | + | 0.338605i | \(0.109955\pi\) | |||||||
\(240\) | −0.802514 | − | 2.08710i | −0.0518020 | − | 0.134722i | ||||
\(241\) | −0.213214 | − | 0.154909i | −0.0137343 | − | 0.00997858i | 0.580897 | − | 0.813977i | \(-0.302702\pi\) |
−0.594631 | + | 0.803999i | \(0.702702\pi\) | |||||||
\(242\) | 14.2056i | 0.913173i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −9.01796 | − | 6.55193i | −0.577316 | − | 0.419444i | ||||
\(245\) | 1.93925 | + | 36.6076i | 0.123894 | + | 2.33877i | ||||
\(246\) | 2.28478 | − | 7.03185i | 0.145673 | − | 0.448334i | ||||
\(247\) | − | 21.9136i | − | 1.39433i | ||||||
\(248\) | −1.31447 | − | 5.41038i | −0.0834689 | − | 0.343559i | ||||
\(249\) | −6.52523 | −0.413519 | ||||||||
\(250\) | −5.09263 | − | 9.95314i | −0.322086 | − | 0.629492i | ||||
\(251\) | −1.54053 | − | 4.74125i | −0.0972372 | − | 0.299265i | 0.890593 | − | 0.454801i | \(-0.150290\pi\) |
−0.987830 | + | 0.155536i | \(0.950290\pi\) | |||||||
\(252\) | −2.84298 | + | 3.91303i | −0.179091 | + | 0.246498i | ||||
\(253\) | − | 19.6525i | − | 1.23554i | ||||||
\(254\) | 5.02908 | 0.315553 | ||||||||
\(255\) | 5.68343 | + | 7.01036i | 0.355910 | + | 0.439006i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −13.9876 | − | 19.2523i | −0.872521 | − | 1.20092i | −0.978437 | − | 0.206547i | \(-0.933777\pi\) |
0.105915 | − | 0.994375i | \(-0.466223\pi\) | |||||||
\(258\) | 11.4334 | + | 3.71495i | 0.711814 | + | 0.231283i | ||||
\(259\) | 14.1008 | + | 10.2449i | 0.876183 | + | 0.636584i | ||||
\(260\) | 5.95219 | + | 3.86062i | 0.369139 | + | 0.239425i | ||||
\(261\) | 0.619555 | + | 1.90680i | 0.0383495 | + | 0.118028i | ||||
\(262\) | −10.5816 | − | 14.5644i | −0.653736 | − | 0.899790i | ||||
\(263\) | −5.44937 | + | 1.77061i | −0.336023 | + | 0.109180i | −0.472168 | − | 0.881508i | \(-0.656529\pi\) |
0.136146 | + | 0.990689i | \(0.456529\pi\) | |||||||
\(264\) | −1.55143 | − | 4.77480i | −0.0954837 | − | 0.293869i | ||||
\(265\) | −8.69633 | − | 22.6165i | −0.534211 | − | 1.38932i | ||||
\(266\) | −10.3231 | − | 31.7713i | −0.632952 | − | 1.94802i | ||||
\(267\) | 16.4073 | + | 5.33105i | 1.00411 | + | 0.326255i | ||||
\(268\) | −1.97446 | + | 2.71761i | −0.120609 | + | 0.166004i | ||||
\(269\) | 9.23580 | − | 28.4249i | 0.563116 | − | 1.73309i | −0.110366 | − | 0.993891i | \(-0.535202\pi\) |
0.673482 | − | 0.739203i | \(-0.264798\pi\) | |||||||
\(270\) | −2.08710 | + | 0.802514i | −0.127017 | + | 0.0488394i | ||||
\(271\) | −10.0355 | + | 7.29125i | −0.609616 | + | 0.442912i | −0.849279 | − | 0.527944i | \(-0.822963\pi\) |
0.239663 | + | 0.970856i | \(0.422963\pi\) | |||||||
\(272\) | 2.37230 | − | 3.26519i | 0.143842 | − | 0.197982i | ||||
\(273\) | − | 15.3460i | − | 0.928785i | ||||||
\(274\) | −1.41988 | −0.0857779 | ||||||||
\(275\) | −10.2360 | − | 22.9208i | −0.617256 | − | 1.38218i | ||||
\(276\) | 1.20963 | + | 3.72285i | 0.0728111 | + | 0.224089i | ||||
\(277\) | −17.3531 | − | 5.63836i | −1.04265 | − | 0.338776i | −0.262868 | − | 0.964832i | \(-0.584668\pi\) |
−0.779779 | + | 0.626055i | \(0.784668\pi\) | |||||||
\(278\) | − | 1.05642i | − | 0.0633597i | ||||||
\(279\) | −5.41038 | + | 1.31447i | −0.323911 | + | 0.0786953i | ||||
\(280\) | 10.4484 | + | 2.79332i | 0.624412 | + | 0.166933i | ||||
\(281\) | −7.85441 | + | 24.1734i | −0.468555 | + | 1.44206i | 0.385901 | + | 0.922540i | \(0.373891\pi\) |
−0.854456 | + | 0.519524i | \(0.826109\pi\) | |||||||
\(282\) | −1.46040 | + | 0.474514i | −0.0869657 | + | 0.0282569i | ||||
\(283\) | −15.5895 | + | 21.4571i | −0.926698 | + | 1.27549i | 0.0344358 | + | 0.999407i | \(0.489037\pi\) |
−0.961134 | + | 0.276083i | \(0.910963\pi\) | |||||||
\(284\) | −11.2765 | −0.669139 | ||||||||
\(285\) | 3.98876 | − | 14.9200i | 0.236274 | − | 0.883782i | ||||
\(286\) | 12.8869 | + | 9.36286i | 0.762017 | + | 0.553638i | ||||
\(287\) | 21.0202 | + | 28.9318i | 1.24078 | + | 1.70779i | ||||
\(288\) | 0.587785 | + | 0.809017i | 0.0346356 | + | 0.0476718i | ||||
\(289\) | 0.219613 | − | 0.675900i | 0.0129184 | − | 0.0397588i | ||||
\(290\) | 3.48246 | − | 2.82330i | 0.204497 | − | 0.165790i | ||||
\(291\) | 0.0155474 | − | 0.0478500i | 0.000911405 | − | 0.00280502i | ||||
\(292\) | −2.33590 | + | 0.758978i | −0.136698 | + | 0.0444159i | ||||
\(293\) | −14.6983 | − | 20.2305i | −0.858686 | − | 1.18188i | −0.981881 | − | 0.189498i | \(-0.939314\pi\) |
0.123195 | − | 0.992383i | \(-0.460686\pi\) | |||||||
\(294\) | −5.06613 | − | 15.5920i | −0.295463 | − | 0.909341i | ||||
\(295\) | −0.110218 | − | 2.08061i | −0.00641714 | − | 0.121138i | ||||
\(296\) | 2.91534 | − | 2.11812i | 0.169451 | − | 0.123113i | ||||
\(297\) | −4.77480 | + | 1.55143i | −0.277062 | + | 0.0900229i | ||||
\(298\) | −1.47656 | − | 0.479765i | −0.0855351 | − | 0.0277920i | ||||
\(299\) | −10.0477 | − | 7.30011i | −0.581076 | − | 0.422176i | ||||
\(300\) | 3.34985 | + | 3.71194i | 0.193403 | + | 0.214309i | ||||
\(301\) | −47.0417 | + | 34.1778i | −2.71144 | + | 1.96998i | ||||
\(302\) | −4.33919 | − | 5.97239i | −0.249693 | − | 0.343672i | ||||
\(303\) | −2.30160 | + | 3.16788i | −0.132224 | + | 0.181990i | ||||
\(304\) | −6.90674 | −0.396129 | ||||||||
\(305\) | 24.0794 | + | 6.43748i | 1.37878 | + | 0.368609i | ||||
\(306\) | −3.26519 | − | 2.37230i | −0.186659 | − | 0.135616i | ||||
\(307\) | −12.4820 | + | 4.05564i | −0.712385 | + | 0.231468i | −0.642718 | − | 0.766103i | \(-0.722193\pi\) |
−0.0696663 | + | 0.997570i | \(0.522193\pi\) | |||||||
\(308\) | 23.0946 | + | 7.50390i | 1.31594 | + | 0.427574i | ||||
\(309\) | 7.93449 | 0.451377 | ||||||||
\(310\) | 7.08533 | + | 10.2371i | 0.402419 | + | 0.581428i | ||||
\(311\) | 23.7348 | 1.34588 | 0.672939 | − | 0.739698i | \(-0.265032\pi\) | ||||
0.672939 | + | 0.739698i | \(0.265032\pi\) | |||||||
\(312\) | −3.01750 | − | 0.980445i | −0.170832 | − | 0.0555068i | ||||
\(313\) | 20.6315 | − | 6.70357i | 1.16616 | − | 0.378908i | 0.338952 | − | 0.940804i | \(-0.389928\pi\) |
0.827208 | + | 0.561895i | \(0.189928\pi\) | |||||||
\(314\) | 5.71121 | + | 4.14943i | 0.322302 | + | 0.234166i | ||||
\(315\) | 2.79332 | − | 10.4484i | 0.157386 | − | 0.588701i | ||||
\(316\) | −8.24198 | −0.463648 | ||||||||
\(317\) | −3.59021 | + | 4.94151i | −0.201647 | + | 0.277543i | −0.897850 | − | 0.440302i | \(-0.854871\pi\) |
0.696203 | + | 0.717845i | \(0.254871\pi\) | |||||||
\(318\) | 6.36945 | + | 8.76680i | 0.357181 | + | 0.491618i | ||||
\(319\) | 8.14337 | − | 5.91651i | 0.455941 | − | 0.331261i | ||||
\(320\) | 1.21679 | − | 1.87601i | 0.0680207 | − | 0.104872i | ||||
\(321\) | 3.46508 | + | 2.51753i | 0.193402 | + | 0.140515i | ||||
\(322\) | −18.0066 | − | 5.85070i | −1.00347 | − | 0.326047i | ||||
\(323\) | 26.5113 | − | 8.61405i | 1.47513 | − | 0.479298i | ||||
\(324\) | 0.809017 | − | 0.587785i | 0.0449454 | − | 0.0326547i | ||||
\(325\) | −15.5210 | − | 3.28077i | −0.860950 | − | 0.181985i | ||||
\(326\) | −5.20704 | − | 16.0256i | −0.288391 | − | 0.887577i | ||||
\(327\) | −4.47405 | − | 6.15800i | −0.247416 | − | 0.340538i | ||||
\(328\) | 7.03185 | − | 2.28478i | 0.388269 | − | 0.126156i | ||||
\(329\) | 2.29511 | − | 7.06364i | 0.126534 | − | 0.389431i | ||||
\(330\) | 7.06982 | + | 8.72043i | 0.389181 | + | 0.480044i | ||||
\(331\) | −0.0792598 | + | 0.243937i | −0.00435651 | + | 0.0134080i | −0.953211 | − | 0.302305i | \(-0.902244\pi\) |
0.948855 | + | 0.315713i | \(0.102244\pi\) | |||||||
\(332\) | −3.83543 | − | 5.27902i | −0.210497 | − | 0.289724i | ||||
\(333\) | −2.11812 | − | 2.91534i | −0.116072 | − | 0.159760i | ||||
\(334\) | 19.2923 | + | 14.0166i | 1.05563 | + | 0.766957i | ||||
\(335\) | 1.93997 | − | 7.25644i | 0.105992 | − | 0.396462i | ||||
\(336\) | −4.83677 | −0.263867 | ||||||||
\(337\) | −15.2533 | + | 20.9944i | −0.830901 | + | 1.14364i | 0.156853 | + | 0.987622i | \(0.449865\pi\) |
−0.987755 | + | 0.156015i | \(0.950135\pi\) | |||||||
\(338\) | −2.78984 | + | 0.906475i | −0.151748 | + | 0.0493058i | ||||
\(339\) | 0.202130 | − | 0.622093i | 0.0109782 | − | 0.0337875i | ||||
\(340\) | −2.33086 | + | 8.71858i | −0.126409 | + | 0.472831i | ||||
\(341\) | 14.6701 | + | 23.7942i | 0.794432 | + | 1.28853i | ||||
\(342\) | 6.90674i | 0.373474i | ||||||||
\(343\) | 43.2144 | + | 14.0412i | 2.33336 | + | 0.758155i | ||||
\(344\) | 3.71495 | + | 11.4334i | 0.200297 | + | 0.616449i | ||||
\(345\) | −5.51225 | − | 6.79921i | −0.296770 | − | 0.366057i | ||||
\(346\) | −15.2383 | −0.819218 | ||||||||
\(347\) | − | 2.05115i | − | 0.110112i | −0.998483 | − | 0.0550559i | \(-0.982466\pi\) | ||
0.998483 | − | 0.0550559i | \(-0.0175337\pi\) | |||||||
\(348\) | −1.17846 | + | 1.62202i | −0.0631723 | + | 0.0869492i | ||||
\(349\) | −23.2482 | + | 16.8908i | −1.24445 | + | 0.904143i | −0.997886 | − | 0.0649841i | \(-0.979300\pi\) |
−0.246560 | + | 0.969127i | \(0.579300\pi\) | |||||||
\(350\) | −24.0485 | + | 2.55506i | −1.28545 | + | 0.136574i | ||||
\(351\) | −0.980445 | + | 3.01750i | −0.0523323 | + | 0.161062i | ||||
\(352\) | 2.95099 | − | 4.06169i | 0.157288 | − | 0.216489i | ||||
\(353\) | 17.3261 | + | 5.62958i | 0.922173 | + | 0.299632i | 0.731358 | − | 0.681994i | \(-0.238887\pi\) |
0.190815 | + | 0.981626i | \(0.438887\pi\) | |||||||
\(354\) | 0.287936 | + | 0.886175i | 0.0153036 | + | 0.0470997i | ||||
\(355\) | 23.5352 | − | 9.04957i | 1.24912 | − | 0.480301i | ||||
\(356\) | 5.33105 | + | 16.4073i | 0.282545 | + | 0.869584i | ||||
\(357\) | 18.5658 | − | 6.03239i | 0.982605 | − | 0.319268i | ||||
\(358\) | −4.05415 | − | 5.58006i | −0.214268 | − | 0.294915i | ||||
\(359\) | 6.70489 | + | 20.6355i | 0.353871 | + | 1.08910i | 0.956661 | + | 0.291203i | \(0.0940554\pi\) |
−0.602791 | + | 0.797899i | \(0.705945\pi\) | |||||||
\(360\) | −1.87601 | − | 1.21679i | −0.0988745 | − | 0.0641305i | ||||
\(361\) | −23.2213 | − | 16.8713i | −1.22217 | − | 0.887961i | ||||
\(362\) | 4.58444 | + | 1.48957i | 0.240953 | + | 0.0782903i | ||||
\(363\) | 8.34987 | + | 11.4926i | 0.438254 | + | 0.603205i | ||||
\(364\) | 12.4152 | − | 9.02018i | 0.650734 | − | 0.472786i | ||||
\(365\) | 4.26615 | − | 3.45865i | 0.223300 | − | 0.181034i | ||||
\(366\) | −11.1468 | −0.582653 | ||||||||
\(367\) | 18.1506i | 0.947456i | 0.880671 | + | 0.473728i | \(0.157092\pi\) | ||||
−0.880671 | + | 0.473728i | \(0.842908\pi\) | |||||||
\(368\) | −2.30085 | + | 3.16685i | −0.119940 | + | 0.165083i | ||||
\(369\) | −2.28478 | − | 7.03185i | −0.118941 | − | 0.366063i | ||||
\(370\) | −4.38478 | + | 6.76032i | −0.227954 | + | 0.351452i | ||||
\(371\) | −52.4130 | −2.72115 | ||||||||
\(372\) | −4.24357 | − | 3.60446i | −0.220019 | − | 0.186883i | ||||
\(373\) | 13.4651i | 0.697199i | 0.937272 | + | 0.348599i | \(0.113343\pi\) | ||||
−0.937272 | + | 0.348599i | \(0.886657\pi\) | |||||||
\(374\) | −6.26156 | + | 19.2711i | −0.323778 | + | 0.996485i | ||||
\(375\) | −9.97034 | − | 5.05889i | −0.514866 | − | 0.261240i | ||||
\(376\) | −1.24229 | − | 0.902579i | −0.0640664 | − | 0.0465469i | ||||
\(377\) | − | 6.36120i | − | 0.327618i | ||||||
\(378\) | 4.83677i | 0.248777i | ||||||||
\(379\) | 6.32693 | + | 4.59678i | 0.324992 | + | 0.236121i | 0.738303 | − | 0.674469i | \(-0.235628\pi\) |
−0.413310 | + | 0.910590i | \(0.635628\pi\) | |||||||
\(380\) | 14.4150 | − | 5.54276i | 0.739476 | − | 0.284337i | ||||
\(381\) | 4.06861 | − | 2.95602i | 0.208441 | − | 0.151442i | ||||
\(382\) | −3.74260 | − | 1.21604i | −0.191488 | − | 0.0622182i | ||||
\(383\) | −8.29971 | + | 11.4236i | −0.424096 | + | 0.583717i | −0.966585 | − | 0.256345i | \(-0.917482\pi\) |
0.542490 | + | 0.840062i | \(0.317482\pi\) | |||||||
\(384\) | −0.309017 | + | 0.951057i | −0.0157695 | + | 0.0485334i | ||||
\(385\) | −54.2227 | + | 2.87239i | −2.76344 | + | 0.146391i | ||||
\(386\) | −6.65925 | + | 4.83823i | −0.338947 | + | 0.246259i | ||||
\(387\) | 11.4334 | − | 3.71495i | 0.581194 | − | 0.188841i | ||||
\(388\) | 0.0478500 | − | 0.0155474i | 0.00242922 | − | 0.000789300i | ||||
\(389\) | −16.8728 | + | 12.2588i | −0.855484 | + | 0.621546i | −0.926653 | − | 0.375919i | \(-0.877327\pi\) |
0.0711684 | + | 0.997464i | \(0.477327\pi\) | |||||||
\(390\) | 7.08464 | − | 0.375301i | 0.358744 | − | 0.0190041i | ||||
\(391\) | 4.88206 | − | 15.0254i | 0.246897 | − | 0.759870i | ||||
\(392\) | 9.63636 | − | 13.2633i | 0.486710 | − | 0.669898i | ||||
\(393\) | −17.1215 | − | 5.56310i | −0.863663 | − | 0.280621i | ||||
\(394\) | 6.90993 | − | 5.02036i | 0.348117 | − | 0.252922i | ||||
\(395\) | 17.2018 | − | 6.61430i | 0.865517 | − | 0.332802i | ||||
\(396\) | −4.06169 | − | 2.95099i | −0.204107 | − | 0.148293i | ||||
\(397\) | 22.2027i | 1.11432i | 0.830404 | + | 0.557161i | \(0.188110\pi\) | ||||
−0.830404 | + | 0.557161i | \(0.811890\pi\) | |||||||
\(398\) | 10.1200i | 0.507268i | ||||||||
\(399\) | −27.0263 | − | 19.6358i | −1.35301 | − | 0.983017i | ||||
\(400\) | −1.03404 | + | 4.89191i | −0.0517018 | + | 0.244595i | ||||
\(401\) | 0.628608 | − | 1.93466i | 0.0313912 | − | 0.0966121i | −0.934133 | − | 0.356924i | \(-0.883825\pi\) |
0.965525 | + | 0.260312i | \(0.0838255\pi\) | |||||||
\(402\) | 3.35915i | 0.167539i | ||||||||
\(403\) | 17.6146 | + | 1.33816i | 0.877445 | + | 0.0666587i | ||||
\(404\) | −3.91572 | −0.194814 | ||||||||
\(405\) | −1.21679 | + | 1.87601i | −0.0604628 | + | 0.0932198i | ||||
\(406\) | −2.99665 | − | 9.22273i | −0.148721 | − | 0.457717i | ||||
\(407\) | −10.6341 | + | 14.6365i | −0.527111 | + | 0.725506i | ||||
\(408\) | − | 4.03600i | − | 0.199812i | ||||||
\(409\) | −32.6350 | −1.61370 | −0.806848 | − | 0.590759i | \(-0.798828\pi\) | ||||
−0.806848 | + | 0.590759i | \(0.798828\pi\) | |||||||
\(410\) | −12.8426 | + | 10.4117i | −0.634249 | + | 0.514198i | ||||
\(411\) | −1.14870 | + | 0.834583i | −0.0566614 | + | 0.0411669i | ||||
\(412\) | 4.66377 | + | 6.41913i | 0.229768 | + | 0.316248i | ||||
\(413\) | −4.28623 | − | 1.39268i | −0.210911 | − | 0.0685293i | ||||
\(414\) | 3.16685 | + | 2.30085i | 0.155642 | + | 0.113081i | ||||
\(415\) | 12.2414 | + | 7.93984i | 0.600907 | + | 0.389751i | ||||
\(416\) | −0.980445 | − | 3.01750i | −0.0480703 | − | 0.147945i | ||||
\(417\) | −0.620947 | − | 0.854660i | −0.0304079 | − | 0.0418529i | ||||
\(418\) | 32.9783 | − | 10.7153i | 1.61302 | − | 0.524103i | ||||
\(419\) | −7.50362 | − | 23.0938i | −0.366576 | − | 1.12820i | −0.948988 | − | 0.315311i | \(-0.897891\pi\) |
0.582412 | − | 0.812894i | \(-0.302109\pi\) | |||||||
\(420\) | 10.0948 | − | 3.88157i | 0.492576 | − | 0.189401i | ||||
\(421\) | −4.30083 | − | 13.2366i | −0.209610 | − | 0.645112i | −0.999493 | − | 0.0318546i | \(-0.989859\pi\) |
0.789883 | − | 0.613258i | \(-0.210141\pi\) | |||||||
\(422\) | 20.8175 | + | 6.76403i | 1.01338 | + | 0.329268i | ||||
\(423\) | −0.902579 | + | 1.24229i | −0.0438849 | + | 0.0604024i | ||||
\(424\) | −3.34862 | + | 10.3060i | −0.162623 | + | 0.500503i | ||||
\(425\) | −2.13205 | − | 20.0671i | −0.103419 | − | 0.973396i | ||||
\(426\) | −9.12291 | + | 6.62818i | −0.442006 | + | 0.321136i | ||||
\(427\) | 31.6902 | − | 43.6178i | 1.53360 | − | 2.11081i | ||||
\(428\) | 4.28307i | 0.207030i | ||||||||
\(429\) | 15.9291 | 0.769062 | ||||||||
\(430\) | −16.9289 | − | 20.8814i | −0.816386 | − | 1.00699i | ||||
\(431\) | 2.27320 | + | 6.99620i | 0.109496 | + | 0.336995i | 0.990759 | − | 0.135631i | \(-0.0433062\pi\) |
−0.881263 | + | 0.472626i | \(0.843306\pi\) | |||||||
\(432\) | 0.951057 | + | 0.309017i | 0.0457577 | + | 0.0148676i | ||||
\(433\) | − | 20.1227i | − | 0.967035i | −0.875335 | − | 0.483518i | \(-0.839359\pi\) | ||
0.875335 | − | 0.483518i | \(-0.160641\pi\) | |||||||
\(434\) | 26.1688 | − | 6.35779i | 1.25614 | − | 0.305184i | ||||
\(435\) | 1.15788 | − | 4.33104i | 0.0555160 | − | 0.207657i | ||||
\(436\) | 2.35215 | − | 7.23917i | 0.112647 | − | 0.346693i | ||||
\(437\) | −25.7128 | + | 8.35459i | −1.23001 | + | 0.399654i | ||||
\(438\) | −1.44366 | + | 1.98703i | −0.0689809 | + | 0.0949440i | ||||
\(439\) | 38.4539 | 1.83531 | 0.917653 | − | 0.397383i | \(-0.130082\pi\) | ||||
0.917653 | + | 0.397383i | \(0.130082\pi\) | |||||||
\(440\) | −2.89944 | + | 10.8453i | −0.138225 | + | 0.517031i | ||||
\(441\) | −13.2633 | − | 9.63636i | −0.631586 | − | 0.458874i | ||||
\(442\) | 7.52681 | + | 10.3598i | 0.358014 | + | 0.492764i | ||||
\(443\) | 6.38389 | + | 8.78666i | 0.303308 | + | 0.417467i | 0.933280 | − | 0.359151i | \(-0.116934\pi\) |
−0.629972 | + | 0.776618i | \(0.716934\pi\) | |||||||
\(444\) | 1.11356 | − | 3.42719i | 0.0528472 | − | 0.162647i | ||||
\(445\) | −24.2935 | − | 29.9653i | −1.15162 | − | 1.42049i | ||||
\(446\) | −7.13447 | + | 21.9576i | −0.337827 | + | 1.03972i | ||||
\(447\) | −1.47656 | + | 0.479765i | −0.0698391 | + | 0.0226921i | ||||
\(448\) | −2.84298 | − | 3.91303i | −0.134318 | − | 0.184873i | ||||
\(449\) | −3.12522 | − | 9.61843i | −0.147488 | − | 0.453922i | 0.849834 | − | 0.527050i | \(-0.176702\pi\) |
−0.997323 | + | 0.0731280i | \(0.976702\pi\) | |||||||
\(450\) | 4.89191 | + | 1.03404i | 0.230607 | + | 0.0487449i | ||||
\(451\) | −30.0310 | + | 21.8188i | −1.41410 | + | 1.02741i | ||||
\(452\) | 0.622093 | − | 0.202130i | 0.0292608 | − | 0.00950741i | ||||
\(453\) | −7.02096 | − | 2.28125i | −0.329874 | − | 0.107182i | ||||
\(454\) | 1.09671 | + | 0.796810i | 0.0514714 | + | 0.0373961i | ||||
\(455\) | −18.6729 | + | 28.7894i | −0.875401 | + | 1.34967i | ||||
\(456\) | −5.58767 | + | 4.05968i | −0.261667 | + | 0.190112i | ||||
\(457\) | 10.5416 | + | 14.5092i | 0.493114 | + | 0.678714i | 0.980959 | − | 0.194217i | \(-0.0622166\pi\) |
−0.487844 | + | 0.872931i | \(0.662217\pi\) | |||||||
\(458\) | −7.74497 | + | 10.6600i | −0.361899 | + | 0.498111i | ||||
\(459\) | −4.03600 | −0.188384 | ||||||||
\(460\) | 2.26066 | − | 8.45598i | 0.105404 | − | 0.394262i | ||||
\(461\) | −15.0249 | − | 10.9162i | −0.699779 | − | 0.508419i | 0.180081 | − | 0.983652i | \(-0.442364\pi\) |
−0.879860 | + | 0.475232i | \(0.842364\pi\) | |||||||
\(462\) | 23.0946 | − | 7.50390i | 1.07446 | − | 0.349113i | ||||
\(463\) | 21.7593 | + | 7.07002i | 1.01124 | + | 0.328572i | 0.767348 | − | 0.641231i | \(-0.221576\pi\) |
0.243892 | + | 0.969802i | \(0.421576\pi\) | |||||||
\(464\) | −2.00492 | −0.0930762 | ||||||||
\(465\) | 11.7494 | + | 4.11734i | 0.544864 | + | 0.190937i | ||||
\(466\) | −1.35550 | −0.0627924 | ||||||||
\(467\) | −33.9004 | − | 11.0149i | −1.56873 | − | 0.509710i | −0.609604 | − | 0.792706i | \(-0.708672\pi\) |
−0.959121 | + | 0.282996i | \(0.908672\pi\) | |||||||
\(468\) | −3.01750 | + | 0.980445i | −0.139484 | + | 0.0453211i | ||||
\(469\) | −13.1444 | − | 9.55000i | −0.606954 | − | 0.440978i | ||||
\(470\) | 3.31712 | + | 0.886812i | 0.153007 | + | 0.0409056i | ||||
\(471\) | 7.05944 | 0.325282 | ||||||||
\(472\) | −0.547687 | + | 0.753826i | −0.0252093 | + | 0.0346976i | ||||
\(473\) | −35.4763 | − | 48.8289i | −1.63120 | − | 2.24515i | ||||
\(474\) | −6.66791 | + | 4.84452i | −0.306267 | + | 0.222516i | ||||
\(475\) | −25.6374 | + | 23.1365i | −1.17633 | + | 1.06158i | ||||
\(476\) | 15.7930 | + | 11.4743i | 0.723871 | + | 0.525923i | ||||
\(477\) | 10.3060 | + | 3.34862i | 0.471879 | + | 0.153323i | ||||
\(478\) | 16.5320 | − | 5.37159i | 0.756158 | − | 0.245691i | ||||
\(479\) | −4.73419 | + | 3.43959i | −0.216311 | + | 0.157159i | −0.690664 | − | 0.723175i | \(-0.742682\pi\) |
0.474354 | + | 0.880334i | \(0.342682\pi\) | |||||||
\(480\) | −0.118288 | − | 2.23294i | −0.00539906 | − | 0.101919i | ||||
\(481\) | 3.53309 | + | 10.8737i | 0.161095 | + | 0.495800i | ||||
\(482\) | −0.154909 | − | 0.213214i | −0.00705592 | − | 0.00971165i | ||||
\(483\) | −18.0066 | + | 5.85070i | −0.819328 | + | 0.266216i | ||||
\(484\) | −4.38979 | + | 13.5104i | −0.199536 | + | 0.614108i | ||||
\(485\) | −0.0873906 | + | 0.0708492i | −0.00396820 | + | 0.00321710i | ||||
\(486\) | 0.309017 | − | 0.951057i | 0.0140173 | − | 0.0431408i | ||||
\(487\) | −0.767491 | − | 1.05636i | −0.0347783 | − | 0.0478683i | 0.791274 | − | 0.611462i | \(-0.209418\pi\) |
−0.826052 | + | 0.563594i | \(0.809418\pi\) | |||||||
\(488\) | −6.55193 | − | 9.01796i | −0.296592 | − | 0.408224i | ||||
\(489\) | −13.6322 | − | 9.90438i | −0.616470 | − | 0.447891i | ||||
\(490\) | −9.46803 | + | 35.4151i | −0.427722 | + | 1.59989i | ||||
\(491\) | 1.02194 | 0.0461193 | 0.0230597 | − | 0.999734i | \(-0.492659\pi\) | ||||
0.0230597 | + | 0.999734i | \(0.492659\pi\) | |||||||
\(492\) | 4.34592 | − | 5.98164i | 0.195929 | − | 0.269673i | ||||
\(493\) | 7.69583 | − | 2.50053i | 0.346603 | − | 0.112618i | ||||
\(494\) | 6.77169 | − | 20.8411i | 0.304673 | − | 0.937686i | ||||
\(495\) | 10.8453 | + | 2.89944i | 0.487462 | + | 0.130320i | ||||
\(496\) | 0.421763 | − | 5.55177i | 0.0189377 | − | 0.249282i | ||||
\(497\) | − | 54.5420i | − | 2.44654i | ||||||
\(498\) | −6.20586 | − | 2.01641i | −0.278091 | − | 0.0903573i | ||||
\(499\) | 9.43293 | + | 29.0316i | 0.422276 | + | 1.29963i | 0.905579 | + | 0.424178i | \(0.139437\pi\) |
−0.483303 | + | 0.875453i | \(0.660563\pi\) | |||||||
\(500\) | −1.76769 | − | 11.0397i | −0.0790536 | − | 0.493711i | ||||
\(501\) | 23.8465 | 1.06538 | ||||||||
\(502\) | − | 4.98525i | − | 0.222502i | ||||||
\(503\) | −19.1788 | + | 26.3973i | −0.855139 | + | 1.17700i | 0.127568 | + | 0.991830i | \(0.459283\pi\) |
−0.982707 | + | 0.185168i | \(0.940717\pi\) | |||||||
\(504\) | −3.91303 | + | 2.84298i | −0.174300 | + | 0.126637i | ||||
\(505\) | 8.17248 | − | 3.14242i | 0.363671 | − | 0.139836i | ||||
\(506\) | 6.07297 | − | 18.6907i | 0.269976 | − | 0.830902i | ||||
\(507\) | −1.72422 | + | 2.37318i | −0.0765752 | + | 0.105397i | ||||
\(508\) | 4.78294 | + | 1.55407i | 0.212209 | + | 0.0689508i | ||||
\(509\) | −2.59770 | − | 7.99490i | −0.115141 | − | 0.354368i | 0.876835 | − | 0.480791i | \(-0.159650\pi\) |
−0.991976 | + | 0.126423i | \(0.959650\pi\) | |||||||
\(510\) | 3.23895 | + | 8.42353i | 0.143423 | + | 0.373000i | ||||
\(511\) | −3.67100 | − | 11.2982i | −0.162396 | − | 0.499803i | ||||
\(512\) | −0.951057 | + | 0.309017i | −0.0420312 | + | 0.0136568i | ||||
\(513\) | 4.05968 | + | 5.58767i | 0.179239 | + | 0.246702i | ||||
\(514\) | −7.35371 | − | 22.6324i | −0.324358 | − | 0.998271i | ||||
\(515\) | −14.8852 | − | 9.65461i | −0.655920 | − | 0.425433i | ||||
\(516\) | 9.72586 | + | 7.06625i | 0.428157 | + | 0.311074i | ||||
\(517\) | 7.33199 | + | 2.38231i | 0.322460 | + | 0.104774i | ||||
\(518\) | 10.2449 | + | 14.1008i | 0.450133 | + | 0.619555i | ||||
\(519\) | −12.3281 | + | 8.95687i | −0.541142 | + | 0.393163i | ||||
\(520\) | 4.46787 | + | 5.51099i | 0.195929 | + | 0.241673i | ||||
\(521\) | −22.9937 | −1.00737 | −0.503685 | − | 0.863887i | \(-0.668023\pi\) | ||||
−0.503685 | + | 0.863887i | \(0.668023\pi\) | |||||||
\(522\) | 2.00492i | 0.0877531i | ||||||||
\(523\) | 1.18170 | − | 1.62647i | 0.0516722 | − | 0.0711206i | −0.782399 | − | 0.622777i | \(-0.786004\pi\) |
0.834071 | + | 0.551657i | \(0.186004\pi\) | |||||||
\(524\) | −5.56310 | − | 17.1215i | −0.243025 | − | 0.747954i | ||||
\(525\) | −17.9538 | + | 16.2024i | −0.783569 | + | 0.707133i | ||||
\(526\) | −5.72981 | −0.249831 | ||||||||
\(527\) | 5.30520 | + | 21.8363i | 0.231098 | + | 0.951204i | ||||
\(528\) | − | 5.02052i | − | 0.218490i | ||||||
\(529\) | 2.37237 | − | 7.30141i | 0.103147 | − | 0.317453i | ||||
\(530\) | −1.28181 | − | 24.1969i | −0.0556781 | − | 1.05105i | ||||
\(531\) | 0.753826 | + | 0.547687i | 0.0327133 | + | 0.0237676i | ||||
\(532\) | − | 33.4063i | − | 1.44835i | ||||||
\(533\) | 23.4587i | 1.01611i | ||||||||
\(534\) | 13.9569 | + | 10.1403i | 0.603973 | + | 0.438812i | ||||
\(535\) | −3.43722 | − | 8.93919i | −0.148604 | − | 0.386475i | ||||
\(536\) | −2.71761 | + | 1.97446i | −0.117383 | + | 0.0852836i | ||||
\(537\) | −6.55975 | − | 2.13139i | −0.283074 | − | 0.0919764i | ||||
\(538\) | 17.5675 | − | 24.1796i | 0.757390 | − | 1.04246i | ||||
\(539\) | −25.4346 | + | 78.2798i | −1.09555 | + | 3.37175i | ||||
\(540\) | −2.23294 | + | 0.118288i | −0.0960903 | + | 0.00509028i | ||||
\(541\) | 28.0150 | − | 20.3541i | 1.20446 | − | 0.875091i | 0.209744 | − | 0.977756i | \(-0.432737\pi\) |
0.994716 | + | 0.102665i | \(0.0327371\pi\) | |||||||
\(542\) | −11.7975 | + | 3.83324i | −0.506746 | + | 0.164652i | ||||
\(543\) | 4.58444 | − | 1.48957i | 0.196737 | − | 0.0639237i | ||||
\(544\) | 3.26519 | − | 2.37230i | 0.139994 | − | 0.101712i | ||||
\(545\) | 0.900370 | + | 16.9965i | 0.0385676 | + | 0.728049i | ||||
\(546\) | 4.74219 | − | 14.5950i | 0.202947 | − | 0.624607i | ||||
\(547\) | −12.1848 | + | 16.7710i | −0.520985 | + | 0.717075i | −0.985723 | − | 0.168374i | \(-0.946149\pi\) |
0.464738 | + | 0.885448i | \(0.346149\pi\) | |||||||
\(548\) | −1.35038 | − | 0.438766i | −0.0576855 | − | 0.0187432i | ||||
\(549\) | −9.01796 | + | 6.55193i | −0.384877 | + | 0.279630i | ||||
\(550\) | −2.65213 | − | 24.9621i | −0.113087 | − | 1.06439i | ||||
\(551\) | −11.2029 | − | 8.13935i | −0.477258 | − | 0.346748i | ||||
\(552\) | 3.91444i | 0.166610i | ||||||||
\(553\) | − | 39.8646i | − | 1.69521i | ||||||
\(554\) | −14.7614 | − | 10.7248i | −0.627153 | − | 0.455653i | ||||
\(555\) | 0.426256 | + | 8.04652i | 0.0180935 | + | 0.341556i | ||||
\(556\) | 0.326451 | − | 1.00471i | 0.0138446 | − | 0.0426093i | ||||
\(557\) | 29.5661i | 1.25276i | 0.779519 | + | 0.626378i | \(0.215463\pi\) | ||||
−0.779519 | + | 0.626378i | \(0.784537\pi\) | |||||||
\(558\) | −5.55177 | − | 0.421763i | −0.235025 | − | 0.0178546i | ||||
\(559\) | −38.1427 | −1.61326 | ||||||||
\(560\) | 9.07384 | + | 5.88534i | 0.383440 | + | 0.248701i | ||||
\(561\) | 6.26156 | + | 19.2711i | 0.264363 | + | 0.813627i | ||||
\(562\) | −14.9400 | + | 20.5631i | −0.630205 | + | 0.867403i | ||||
\(563\) | 10.7216i | 0.451862i | 0.974143 | + | 0.225931i | \(0.0725424\pi\) | ||||
−0.974143 | + | 0.225931i | \(0.927458\pi\) | |||||||
\(564\) | −1.53556 | −0.0646587 | ||||||||
\(565\) | −1.13616 | + | 0.921103i | −0.0477984 | + | 0.0387511i | ||||
\(566\) | −21.4571 | + | 15.5895i | −0.901908 | + | 0.655274i | ||||
\(567\) | 2.84298 | + | 3.91303i | 0.119394 | + | 0.164332i | ||||
\(568\) | −10.7246 | − | 3.48464i | −0.449995 | − | 0.146212i | ||||
\(569\) | 29.2100 | + | 21.2223i | 1.22455 | + | 0.889685i | 0.996469 | − | 0.0839587i | \(-0.0267564\pi\) |
0.228076 | + | 0.973643i | \(0.426756\pi\) | |||||||
\(570\) | 8.40406 | − | 12.9571i | 0.352007 | − | 0.542715i | ||||
\(571\) | 1.19933 | + | 3.69114i | 0.0501902 | + | 0.154470i | 0.973010 | − | 0.230762i | \(-0.0741217\pi\) |
−0.922820 | + | 0.385231i | \(0.874122\pi\) | |||||||
\(572\) | 9.36286 | + | 12.8869i | 0.391481 | + | 0.538827i | ||||
\(573\) | −3.74260 | + | 1.21604i | −0.156349 | + | 0.0508009i | ||||
\(574\) | 11.0510 | + | 34.0114i | 0.461259 | + | 1.41961i | ||||
\(575\) | 2.06783 | + | 19.4627i | 0.0862345 | + | 0.811649i | ||||
\(576\) | 0.309017 | + | 0.951057i | 0.0128757 | + | 0.0396274i | ||||
\(577\) | −36.6093 | − | 11.8951i | −1.52407 | − | 0.495199i | −0.577138 | − | 0.816647i | \(-0.695831\pi\) |
−0.946927 | + | 0.321448i | \(0.895831\pi\) | |||||||
\(578\) | 0.417729 | − | 0.574955i | 0.0173752 | − | 0.0239150i | ||||
\(579\) | −2.54361 | + | 7.82842i | −0.105709 | + | 0.325338i | ||||
\(580\) | 4.18447 | − | 1.60898i | 0.173751 | − | 0.0668092i | ||||
\(581\) | 25.5334 | − | 18.5511i | 1.05930 | − | 0.769630i | ||||
\(582\) | 0.0295729 | − | 0.0407037i | 0.00122584 | − | 0.00168722i | ||||
\(583\) | − | 54.4042i | − | 2.25319i | ||||||
\(584\) | −2.45611 | −0.101634 | ||||||||
\(585\) | 5.51099 | − | 4.46787i | 0.227852 | − | 0.184724i | ||||
\(586\) | −7.72738 | − | 23.7824i | −0.319215 | − | 0.982443i | ||||
\(587\) | 17.7717 | + | 5.77438i | 0.733517 | + | 0.238334i | 0.651874 | − | 0.758327i | \(-0.273983\pi\) |
0.0816433 | + | 0.996662i | \(0.473983\pi\) | |||||||
\(588\) | − | 16.3944i | − | 0.676092i | ||||||
\(589\) | 24.8951 | − | 29.3092i | 1.02578 | − | 1.20767i | ||||
\(590\) | 0.538119 | − | 2.01283i | 0.0221540 | − | 0.0828670i | ||||
\(591\) | 2.63936 | − | 8.12311i | 0.108569 | − | 0.334140i | ||||
\(592\) | 3.42719 | − | 1.11356i | 0.140856 | − | 0.0457670i | ||||
\(593\) | −10.7199 | + | 14.7546i | −0.440212 | + | 0.605900i | −0.970259 | − | 0.242068i | \(-0.922174\pi\) |
0.530047 | + | 0.847968i | \(0.322174\pi\) | |||||||
\(594\) | −5.02052 | −0.205995 | ||||||||
\(595\) | −42.1698 | − | 11.2738i | −1.72879 | − | 0.462183i | ||||
\(596\) | −1.25604 | − | 0.912567i | −0.0514494 | − | 0.0373802i | ||||
\(597\) | 5.94836 | + | 8.18722i | 0.243450 | + | 0.335081i | ||||
\(598\) | −7.30011 | − | 10.0477i | −0.298524 | − | 0.410883i | ||||
\(599\) | 13.7642 | − | 42.3620i | 0.562391 | − | 1.73086i | −0.113187 | − | 0.993574i | \(-0.536106\pi\) |
0.675578 | − | 0.737289i | \(-0.263894\pi\) | |||||||
\(600\) | 2.03884 | + | 4.56543i | 0.0832353 | + | 0.186383i | ||||
\(601\) | 7.60698 | − | 23.4119i | 0.310295 | − | 0.954991i | −0.667353 | − | 0.744742i | \(-0.732573\pi\) |
0.977648 | − | 0.210249i | \(-0.0674274\pi\) | |||||||
\(602\) | −55.3009 | + | 17.9683i | −2.25390 | + | 0.732335i | ||||
\(603\) | 1.97446 | + | 2.71761i | 0.0804061 | + | 0.110670i | ||||
\(604\) | −2.28125 | − | 7.02096i | −0.0928227 | − | 0.285679i | ||||
\(605\) | −1.68035 | − | 31.7203i | −0.0683160 | − | 1.28961i | ||||
\(606\) | −3.16788 | + | 2.30160i | −0.128686 | + | 0.0934961i | ||||
\(607\) | 38.7171 | − | 12.5799i | 1.57148 | − | 0.510604i | 0.611634 | − | 0.791141i | \(-0.290513\pi\) |
0.959843 | + | 0.280537i | \(0.0905127\pi\) | |||||||
\(608\) | −6.56870 | − | 2.13430i | −0.266396 | − | 0.0865573i | ||||
\(609\) | −7.84533 | − | 5.69996i | −0.317909 | − | 0.230974i | ||||
\(610\) | 20.9115 | + | 13.5633i | 0.846684 | + | 0.549164i | ||||
\(611\) | 3.94153 | − | 2.86369i | 0.159457 | − | 0.115853i | ||||
\(612\) | −2.37230 | − | 3.26519i | −0.0958947 | − | 0.131988i | ||||
\(613\) | 0.639002 | − | 0.879511i | 0.0258091 | − | 0.0355231i | −0.795917 | − | 0.605405i | \(-0.793011\pi\) |
0.821727 | + | 0.569882i | \(0.193011\pi\) | |||||||
\(614\) | −13.1243 | −0.529655 | ||||||||
\(615\) | −4.27000 | + | 15.9719i | −0.172183 | + | 0.644050i | ||||
\(616\) | 19.6455 | + | 14.2733i | 0.791538 | + | 0.575086i | ||||
\(617\) | 5.52574 | − | 1.79542i | 0.222458 | − | 0.0722810i | −0.195667 | − | 0.980670i | \(-0.562687\pi\) |
0.418125 | + | 0.908389i | \(0.362687\pi\) | |||||||
\(618\) | 7.54614 | + | 2.45189i | 0.303550 | + | 0.0986295i | ||||
\(619\) | 25.9541 | 1.04318 | 0.521592 | − | 0.853195i | \(-0.325338\pi\) | ||||
0.521592 | + | 0.853195i | \(0.325338\pi\) | |||||||
\(620\) | 3.57511 | + | 11.9255i | 0.143580 | + | 0.478941i | ||||
\(621\) | 3.91444 | 0.157081 | ||||||||
\(622\) | 22.5732 | + | 7.33446i | 0.905101 | + | 0.294085i | ||||
\(623\) | −79.3583 | + | 25.7851i | −3.17942 | + | 1.03306i | ||||
\(624\) | −2.56684 | − | 1.86492i | −0.102756 | − | 0.0746565i | ||||
\(625\) | 12.5489 | + | 21.6223i | 0.501955 | + | 0.864894i | ||||
\(626\) | 21.6932 | 0.867035 | ||||||||
\(627\) | 20.3817 | − | 28.0530i | 0.813968 | − | 1.12033i | ||||
\(628\) | 4.14943 | + | 5.71121i | 0.165580 | + | 0.227902i | ||||
\(629\) | −11.7663 | + | 8.54873i | −0.469154 | + | 0.340860i | ||||
\(630\) | 5.88534 | − | 9.07384i | 0.234478 | − | 0.361510i | ||||
\(631\) | 24.4831 | + | 17.7880i | 0.974658 | + | 0.708130i | 0.956508 | − | 0.291705i | \(-0.0942225\pi\) |
0.0181495 | + | 0.999835i | \(0.494223\pi\) | |||||||
\(632\) | −7.83859 | − | 2.54691i | −0.311802 | − | 0.101311i | ||||
\(633\) | 20.8175 | − | 6.76403i | 0.827423 | − | 0.268846i | ||||
\(634\) | −4.94151 | + | 3.59021i | −0.196252 | + | 0.142586i | ||||
\(635\) | −11.2296 | + | 0.594878i | −0.445634 | + | 0.0236070i | ||||
\(636\) | 3.34862 | + | 10.3060i | 0.132781 | + | 0.408659i | ||||
\(637\) | 30.5741 | + | 42.0817i | 1.21139 | + | 1.66734i | ||||
\(638\) | 9.57311 | − | 3.11049i | 0.379003 | − | 0.123146i | ||||
\(639\) | −3.48464 | + | 10.7246i | −0.137850 | + | 0.424259i | ||||
\(640\) | 1.73696 | − | 1.40818i | 0.0686592 | − | 0.0556634i | ||||
\(641\) | −6.13239 | + | 18.8735i | −0.242215 | + | 0.745460i | 0.753867 | + | 0.657027i | \(0.228186\pi\) |
−0.996082 | + | 0.0884336i | \(0.971814\pi\) | |||||||
\(642\) | 2.51753 | + | 3.46508i | 0.0993589 | + | 0.136756i | ||||
\(643\) | −9.72671 | − | 13.3877i | −0.383584 | − | 0.527958i | 0.572946 | − | 0.819593i | \(-0.305801\pi\) |
−0.956530 | + | 0.291635i | \(0.905801\pi\) | |||||||
\(644\) | −15.3173 | − | 11.1287i | −0.603587 | − | 0.438532i | ||||
\(645\) | −25.9696 | − | 6.94281i | −1.02255 | − | 0.273373i | ||||
\(646\) | 27.8756 | 1.09675 | ||||||||
\(647\) | −4.22855 | + | 5.82010i | −0.166241 | + | 0.228812i | −0.884008 | − | 0.467473i | \(-0.845165\pi\) |
0.717766 | + | 0.696284i | \(0.245165\pi\) | |||||||
\(648\) | 0.951057 | − | 0.309017i | 0.0373610 | − | 0.0121393i | ||||
\(649\) | 1.44559 | − | 4.44906i | 0.0567443 | − | 0.174641i | ||||
\(650\) | −13.7475 | − | 7.91645i | −0.539222 | − | 0.310509i | ||||
\(651\) | 17.4339 | − | 20.5252i | 0.683290 | − | 0.804445i | ||||
\(652\) | − | 16.8503i | − | 0.659910i | ||||||
\(653\) | 0.131088 | + | 0.0425932i | 0.00512989 | + | 0.00166680i | 0.311581 | − | 0.950220i | \(-0.399142\pi\) |
−0.306451 | + | 0.951886i | \(0.599142\pi\) | |||||||
\(654\) | −2.35215 | − | 7.23917i | −0.0919762 | − | 0.283074i | ||||
\(655\) | 25.3509 | + | 31.2697i | 0.990543 | + | 1.22181i | ||||
\(656\) | 7.39372 | 0.288676 | ||||||||
\(657\) | 2.45611i | 0.0958218i | ||||||||
\(658\) | 4.36557 | − | 6.00869i | 0.170188 | − | 0.234243i | ||||
\(659\) | −0.914232 | + | 0.664228i | −0.0356134 | + | 0.0258747i | −0.605450 | − | 0.795884i | \(-0.707007\pi\) |
0.569836 | + | 0.821758i | \(0.307007\pi\) | |||||||
\(660\) | 4.02904 | + | 10.4783i | 0.156830 | + | 0.407868i | ||||
\(661\) | 14.4827 | − | 44.5733i | 0.563313 | − | 1.73370i | −0.109598 | − | 0.993976i | \(-0.534956\pi\) |
0.672911 | − | 0.739723i | \(-0.265044\pi\) | |||||||
\(662\) | −0.150761 | + | 0.207505i | −0.00585950 | + | 0.00806491i | ||||
\(663\) | 12.1786 | + | 3.95708i | 0.472979 | + | 0.153680i | ||||
\(664\) | −2.01641 | − | 6.20586i | −0.0782517 | − | 0.240834i | ||||
\(665\) | 26.8090 | + | 69.7223i | 1.03961 | + | 2.70371i | ||||
\(666\) | −1.11356 | − | 3.42719i | −0.0431496 | − | 0.132801i | ||||
\(667\) | −7.46404 | + | 2.42521i | −0.289009 | + | 0.0939046i | ||||
\(668\) | 14.0166 | + | 19.2923i | 0.542320 | + | 0.746440i | ||||
\(669\) | 7.13447 | + | 21.9576i | 0.275835 | + | 0.848932i | ||||
\(670\) | 4.08738 | − | 6.30180i | 0.157909 | − | 0.243460i | ||||
\(671\) | 45.2749 | + | 32.8941i | 1.74782 | + | 1.26986i | ||||
\(672\) | −4.60004 | − | 1.49464i | −0.177450 | − | 0.0576572i | ||||
\(673\) | 24.9083 | + | 34.2833i | 0.960145 | + | 1.32153i | 0.946871 | + | 0.321614i | \(0.104225\pi\) |
0.0132736 | + | 0.999912i | \(0.495775\pi\) | |||||||
\(674\) | −20.9944 | + | 15.2533i | −0.808674 | + | 0.587536i | ||||
\(675\) | 4.56543 | − | 2.03884i | 0.175723 | − | 0.0784750i | ||||
\(676\) | −2.93342 | −0.112824 | ||||||||
\(677\) | 8.98736i | 0.345412i | 0.984973 | + | 0.172706i | \(0.0552511\pi\) | ||||
−0.984973 | + | 0.172706i | \(0.944749\pi\) | |||||||
\(678\) | 0.384475 | − | 0.529184i | 0.0147657 | − | 0.0203232i | ||||
\(679\) | 0.0751993 | + | 0.231440i | 0.00288588 | + | 0.00888184i | ||||
\(680\) | −4.91097 | + | 7.57159i | −0.188327 | + | 0.290357i | ||||
\(681\) | 1.35561 | 0.0519472 | ||||||||
\(682\) | 6.59933 | + | 27.1629i | 0.252701 | + | 1.04012i | ||||
\(683\) | − | 39.4695i | − | 1.51026i | −0.655576 | − | 0.755129i | \(-0.727574\pi\) | ||
0.655576 | − | 0.755129i | \(-0.272426\pi\) | |||||||
\(684\) | −2.13430 | + | 6.56870i | −0.0816070 | + | 0.251161i | ||||
\(685\) | 3.17050 | − | 0.167954i | 0.121138 | − | 0.00641718i | ||||
\(686\) | 36.7604 | + | 26.7080i | 1.40352 | + | 1.01972i | ||||
\(687\) | 13.1765i | 0.502716i | ||||||||
\(688\) | 12.0218i | 0.458328i | ||||||||
\(689\) | −27.8152 | − | 20.2089i | −1.05967 | − | 0.769899i | ||||
\(690\) | −3.14139 | − | 8.16981i | −0.119591 | − | 0.311020i | ||||
\(691\) | −32.4296 | + | 23.5615i | −1.23368 | + | 0.896320i | −0.997160 | − | 0.0753065i | \(-0.976006\pi\) |
−0.236519 | + | 0.971627i | \(0.576006\pi\) | |||||||
\(692\) | −14.4925 | − | 4.70890i | −0.550923 | − | 0.179006i | ||||
\(693\) | 14.2733 | − | 19.6455i | 0.542196 | − | 0.746269i | ||||
\(694\) | 0.633841 | − | 1.95076i | 0.0240603 | − | 0.0740500i | ||||
\(695\) | 0.124961 | + | 2.35891i | 0.00474004 | + | 0.0894787i | ||||
\(696\) | −1.62202 | + | 1.17846i | −0.0614824 | + | 0.0446696i | ||||
\(697\) | −28.3805 | + | 9.22140i | −1.07499 | + | 0.349285i | ||||
\(698\) | −27.3299 | + | 8.88001i | −1.03445 | + | 0.336114i | ||||
\(699\) | −1.09662 | + | 0.796744i | −0.0414782 | + | 0.0301356i | ||||
\(700\) | −23.6610 | − | 5.00139i | −0.894303 | − | 0.189035i | ||||
\(701\) | 5.77633 | − | 17.7777i | 0.218169 | − | 0.671455i | −0.780744 | − | 0.624851i | \(-0.785160\pi\) |
0.998913 | − | 0.0466048i | \(-0.0148402\pi\) | |||||||
\(702\) | −1.86492 | + | 2.56684i | −0.0703868 | + | 0.0968791i | ||||
\(703\) | 23.6707 | + | 7.69108i | 0.892757 | + | 0.290074i | ||||
\(704\) | 4.06169 | − | 2.95099i | 0.153081 | − | 0.111220i | ||||
\(705\) | 3.20486 | − | 1.23231i | 0.120702 | − | 0.0464114i | ||||
\(706\) | 14.7384 | + | 10.7081i | 0.554688 | + | 0.403004i | ||||
\(707\) | − | 18.9394i | − | 0.712291i | ||||||
\(708\) | 0.931780i | 0.0350184i | ||||||||
\(709\) | −13.4452 | − | 9.76852i | −0.504945 | − | 0.366864i | 0.305957 | − | 0.952045i | \(-0.401023\pi\) |
−0.810903 | + | 0.585181i | \(0.801023\pi\) | |||||||
\(710\) | 25.1798 | − | 1.33387i | 0.944981 | − | 0.0500594i | ||||
\(711\) | −2.54691 | + | 7.83859i | −0.0955167 | + | 0.293970i | ||||
\(712\) | 17.2516i | 0.646532i | ||||||||
\(713\) | −5.14541 | − | 21.1786i | −0.192697 | − | 0.793145i | ||||
\(714\) | 19.5212 | 0.730563 | ||||||||
\(715\) | −29.8831 | − | 19.3823i | −1.11756 | − | 0.724858i | ||||
\(716\) | −2.13139 | − | 6.55975i | −0.0796539 | − | 0.245149i | ||||
\(717\) | 10.2174 | − | 14.0630i | 0.381575 | − | 0.525192i | ||||
\(718\) | 21.6975i | 0.809743i | ||||||||
\(719\) | −24.3557 | −0.908316 | −0.454158 | − | 0.890921i | \(-0.650060\pi\) | ||||
−0.454158 | + | 0.890921i | \(0.650060\pi\) | |||||||
\(720\) | −1.40818 | − | 1.73696i | −0.0524799 | − | 0.0647325i | ||||
\(721\) | −31.0479 | + | 22.5576i | −1.15628 | + | 0.840089i | ||||
\(722\) | −16.8713 | − | 23.2213i | −0.627884 | − | 0.864208i | ||||
\(723\) | −0.250648 | − | 0.0814406i | −0.00932172 | − | 0.00302881i | ||||
\(724\) | 3.89975 | + | 2.83334i | 0.144933 | + | 0.105300i | ||||
\(725\) | −7.44216 | + | 6.71619i | −0.276395 | + | 0.249433i | ||||
\(726\) | 4.38979 | + | 13.5104i | 0.162920 | + | 0.501417i | ||||
\(727\) | −0.726360 | − | 0.999748i | −0.0269392 | − | 0.0370786i | 0.795335 | − | 0.606170i | \(-0.207295\pi\) |
−0.822274 | + | 0.569092i | \(0.807295\pi\) | |||||||
\(728\) | 14.5950 | − | 4.74219i | 0.540925 | − | 0.175757i | ||||
\(729\) | −0.309017 | − | 0.951057i | −0.0114451 | − | 0.0352243i | ||||
\(730\) | 5.12613 | − | 1.97106i | 0.189727 | − | 0.0729521i | ||||
\(731\) | −14.9935 | − | 46.1454i | −0.554556 | − | 1.70675i | ||||
\(732\) | −10.6012 | − | 3.44455i | −0.391833 | − | 0.127314i | ||||
\(733\) | 20.9947 | − | 28.8968i | 0.775458 | − | 1.06733i | −0.220311 | − | 0.975430i | \(-0.570707\pi\) |
0.995769 | − | 0.0918965i | \(-0.0292929\pi\) | |||||||
\(734\) | −5.60886 | + | 17.2623i | −0.207027 | + | 0.637163i | ||||
\(735\) | 13.1567 | + | 34.2166i | 0.485292 | + | 1.26210i | ||||
\(736\) | −3.16685 | + | 2.30085i | −0.116732 | + | 0.0848105i | ||||
\(737\) | 9.91281 | − | 13.6438i | 0.365143 | − | 0.502576i | ||||
\(738\) | − | 7.39372i | − | 0.272167i | ||||||
\(739\) | −26.6317 | −0.979664 | −0.489832 | − | 0.871817i | \(-0.662942\pi\) | ||||
−0.489832 | + | 0.871817i | \(0.662942\pi\) | |||||||
\(740\) | −6.25922 | + | 5.07447i | −0.230094 | + | 0.186541i | ||||
\(741\) | −6.77169 | − | 20.8411i | −0.248764 | − | 0.765617i | ||||
\(742\) | −49.8477 | − | 16.1965i | −1.82997 | − | 0.594592i | ||||
\(743\) | 37.7845i | 1.38618i | 0.720851 | + | 0.693090i | \(0.243751\pi\) | ||||
−0.720851 | + | 0.693090i | \(0.756249\pi\) | |||||||
\(744\) | −2.92203 | − | 4.73938i | −0.107127 | − | 0.173754i | ||||
\(745\) | 3.35383 | + | 0.896626i | 0.122875 | + | 0.0328498i | ||||
\(746\) | −4.16096 | + | 12.8061i | −0.152343 | + | 0.468865i | ||||
\(747\) | −6.20586 | + | 2.01641i | −0.227061 | + | 0.0737764i | ||||
\(748\) | −11.9102 | + | 16.3930i | −0.435480 | + | 0.599387i | ||||
\(749\) | −20.7162 | −0.756955 | ||||||||
\(750\) | −7.91907 | − | 7.89229i | −0.289164 | − | 0.288186i | ||||
\(751\) | 6.62034 | + | 4.80996i | 0.241580 | + | 0.175518i | 0.701987 | − | 0.712190i | \(-0.252297\pi\) |
−0.460407 | + | 0.887708i | \(0.652297\pi\) | |||||||
\(752\) | −0.902579 | − | 1.24229i | −0.0329137 | − | 0.0453018i | ||||
\(753\) | −2.93025 | − | 4.03315i | −0.106784 | − | 0.146976i | ||||
\(754\) | 1.96572 | − | 6.04986i | 0.0715872 | − | 0.220323i | ||||
\(755\) | 10.3956 | + | 12.8227i | 0.378335 | + | 0.466666i | ||||
\(756\) | −1.49464 | + | 4.60004i | −0.0543597 | + | 0.167302i | ||||
\(757\) | 25.3344 | − | 8.23166i | 0.920796 | − | 0.299185i | 0.190003 | − | 0.981784i | \(-0.439150\pi\) |
0.730793 | + | 0.682599i | \(0.239150\pi\) | |||||||
\(758\) | 4.59678 | + | 6.32693i | 0.166963 | + | 0.229804i | ||||
\(759\) | −6.07297 | − | 18.6907i | −0.220435 | − | 0.678428i | ||||
\(760\) | 15.4223 | − | 0.816981i | 0.559427 | − | 0.0296350i | ||||
\(761\) | 27.5264 | − | 19.9991i | 0.997833 | − | 0.724968i | 0.0362105 | − | 0.999344i | \(-0.488471\pi\) |
0.961622 | + | 0.274376i | \(0.0884713\pi\) | |||||||
\(762\) | 4.78294 | − | 1.55407i | 0.173268 | − | 0.0562981i | ||||
\(763\) | 35.0142 | + | 11.3768i | 1.26760 | + | 0.411868i | ||||
\(764\) | −3.18364 | − | 2.31305i | −0.115180 | − | 0.0836833i | ||||
\(765\) | 7.57159 | + | 4.91097i | 0.273751 | + | 0.177557i | ||||
\(766\) | −11.4236 | + | 8.29971i | −0.412751 | + | 0.299881i | ||||
\(767\) | −1.73769 | − | 2.39173i | −0.0627445 | − | 0.0863604i | ||||
\(768\) | −0.587785 | + | 0.809017i | −0.0212099 | + | 0.0291929i | ||||
\(769\) | −22.3633 | −0.806442 | −0.403221 | − | 0.915103i | \(-0.632109\pi\) | ||||
−0.403221 | + | 0.915103i | \(0.632109\pi\) | |||||||
\(770\) | −52.4564 | − | 14.0239i | −1.89040 | − | 0.505387i | ||||
\(771\) | −19.2523 | − | 13.9876i | −0.693353 | − | 0.503750i | ||||
\(772\) | −7.82842 | + | 2.54361i | −0.281751 | + | 0.0915464i | ||||
\(773\) | −23.5530 | − | 7.65282i | −0.847141 | − | 0.275253i | −0.146893 | − | 0.989152i | \(-0.546927\pi\) |
−0.700248 | + | 0.713900i | \(0.746927\pi\) | |||||||
\(774\) | 12.0218 | 0.432115 | ||||||||
\(775\) | −17.0320 | − | 22.0207i | −0.611808 | − | 0.791006i | ||||
\(776\) | 0.0503125 | 0.00180611 | ||||||||
\(777\) | 16.5765 | + | 5.38604i | 0.594679 | + | 0.193223i | ||||
\(778\) | −19.8352 | + | 6.44483i | −0.711125 | + | 0.231058i | ||||
\(779\) | 41.3137 | + | 30.0162i | 1.48022 | + | 1.07544i | ||||
\(780\) | 6.85386 | + | 1.83234i | 0.245408 | + | 0.0656083i | ||||
\(781\) | 56.6141 | 2.02581 | ||||||||
\(782\) | 9.28624 | − | 12.7814i | 0.332075 | − | 0.457062i | ||||
\(783\) | 1.17846 | + | 1.62202i | 0.0421149 | + | 0.0579662i | ||||
\(784\) | 13.2633 | − | 9.63636i | 0.473690 | − | 0.344156i | ||||
\(785\) | −13.2436 | − | 8.58986i | −0.472684 | − | 0.306585i | ||||
\(786\) | −14.5644 | − | 10.5816i | −0.519494 | − | 0.377435i | ||||
\(787\) | −3.54629 | − | 1.15226i | −0.126411 | − | 0.0410736i | 0.245128 | − | 0.969491i | \(-0.421170\pi\) |
−0.371540 | + | 0.928417i | \(0.621170\pi\) | |||||||
\(788\) | 8.12311 | − | 2.63936i | 0.289374 | − | 0.0940232i | ||||
\(789\) | −4.63551 | + | 3.36790i | −0.165029 | + | 0.119900i | ||||
\(790\) | 18.4038 | − | 0.974924i | 0.654779 | − | 0.0346862i | ||||
\(791\) | 0.977658 | + | 3.00892i | 0.0347615 | + | 0.106985i | ||||
\(792\) | −2.95099 | − | 4.06169i | −0.104859 | − | 0.144326i | ||||
\(793\) | 33.6355 | − | 10.9288i | 1.19443 | − | 0.388094i | ||||
\(794\) | −6.86102 | + | 21.1160i | −0.243488 | + | 0.749380i | ||||
\(795\) | −15.2596 | − | 18.8223i | −0.541202 | − | 0.667558i | ||||
\(796\) | −3.12724 | + | 9.62465i | −0.110842 | + | 0.341137i | ||||
\(797\) | −19.1070 | − | 26.2986i | −0.676806 | − | 0.931544i | 0.323084 | − | 0.946370i | \(-0.395280\pi\) |
−0.999890 | + | 0.0148263i | \(0.995280\pi\) | |||||||
\(798\) | −19.6358 | − | 27.0263i | −0.695098 | − | 0.956721i | ||||
\(799\) | 5.01390 | + | 3.64281i | 0.177379 | + | 0.128873i | ||||
\(800\) | −2.49511 | + | 4.33295i | −0.0882154 | + | 0.153193i | ||||
\(801\) | 17.2516 | 0.609557 | ||||||||
\(802\) | 1.19568 | − | 1.64572i | 0.0422210 | − | 0.0581123i | ||||
\(803\) | 11.7274 | − | 3.81047i | 0.413851 | − | 0.134468i | ||||
\(804\) | −1.03803 | + | 3.19474i | −0.0366086 | + | 0.112670i | ||||
\(805\) | 40.8997 | + | 10.9343i | 1.44152 | + | 0.385383i | ||||
\(806\) | 16.3389 | + | 6.71587i | 0.575515 | + | 0.236557i | ||||
\(807\) | − | 29.8877i | − | 1.05210i | ||||||
\(808\) | −3.72407 | − | 1.21002i | −0.131012 | − | 0.0425685i | ||||
\(809\) | 6.73331 | + | 20.7230i | 0.236730 | + | 0.728581i | 0.996887 | + | 0.0788415i | \(0.0251221\pi\) |
−0.760157 | + | 0.649740i | \(0.774878\pi\) | |||||||
\(810\) | −1.73696 | + | 1.40818i | −0.0610304 | + | 0.0494785i | ||||
\(811\) | 29.1603 | 1.02396 | 0.511978 | − | 0.858999i | \(-0.328913\pi\) | ||||
0.511978 | + | 0.858999i | \(0.328913\pi\) | |||||||
\(812\) | − | 9.69736i | − | 0.340310i | ||||||
\(813\) | −7.29125 | + | 10.0355i | −0.255715 | + | 0.351962i | ||||
\(814\) | −14.6365 | + | 10.6341i | −0.513010 | + | 0.372724i | ||||
\(815\) | 13.5226 | + | 35.1683i | 0.473677 | + | 1.23189i | ||||
\(816\) | 1.24719 | − | 3.83847i | 0.0436605 | − | 0.134373i | ||||
\(817\) | −48.8048 | + | 67.1740i | −1.70746 | + | 2.35012i | ||||
\(818\) | −31.0377 | − | 10.0848i | −1.08521 | − | 0.352606i | ||||
\(819\) | −4.74219 | − | 14.5950i | −0.165706 | − | 0.509989i | ||||
\(820\) | −15.4314 | + | 5.93356i | −0.538888 | + | 0.207209i | ||||
\(821\) | −0.143488 | − | 0.441611i | −0.00500777 | − | 0.0154123i | 0.948521 | − | 0.316713i | \(-0.102579\pi\) |
−0.953529 | + | 0.301301i | \(0.902579\pi\) | |||||||
\(822\) | −1.35038 | + | 0.438766i | −0.0471000 | + | 0.0153037i | ||||
\(823\) | −32.1619 | − | 44.2671i | −1.12109 | − | 1.54305i | −0.803969 | − | 0.594671i | \(-0.797282\pi\) |
−0.317126 | − | 0.948384i | \(-0.602718\pi\) | |||||||
\(824\) | 2.45189 | + | 7.54614i | 0.0854157 | + | 0.262882i | ||||
\(825\) | −16.8180 | − | 18.6359i | −0.585527 | − | 0.648819i | ||||
\(826\) | −3.64608 | − | 2.64903i | −0.126863 | − | 0.0921717i | ||||
\(827\) | −0.0605903 | − | 0.0196870i | −0.00210693 | − | 0.000684583i | 0.307963 | − | 0.951398i | \(-0.400353\pi\) |
−0.310070 | + | 0.950714i | \(0.600353\pi\) | |||||||
\(828\) | 2.30085 | + | 3.16685i | 0.0799601 | + | 0.110056i | ||||
\(829\) | −10.4226 | + | 7.57249i | −0.361993 | + | 0.263003i | −0.753883 | − | 0.657009i | \(-0.771821\pi\) |
0.391890 | + | 0.920012i | \(0.371821\pi\) | |||||||
\(830\) | 9.18872 | + | 11.3340i | 0.318945 | + | 0.393410i | ||||
\(831\) | −18.2461 | −0.632951 | ||||||||
\(832\) | − | 3.17279i | − | 0.109997i | ||||||
\(833\) | −38.8924 | + | 53.5308i | −1.34754 | + | 1.85473i | ||||
\(834\) | −0.326451 | − | 1.00471i | −0.0113041 | − | 0.0347904i | ||||
\(835\) | −44.7364 | − | 29.0163i | −1.54817 | − | 1.00415i | ||||
\(836\) | 34.6755 | 1.19928 | ||||||||
\(837\) | −4.73938 | + | 2.92203i | −0.163817 | + | 0.101000i | ||||
\(838\) | − | 24.2822i | − | 0.838816i | ||||||
\(839\) | 12.3447 | − | 37.9930i | 0.426185 | − | 1.31166i | −0.475669 | − | 0.879624i | \(-0.657794\pi\) |
0.901855 | − | 0.432039i | \(-0.142206\pi\) | |||||||
\(840\) | 10.8002 | − | 0.572130i | 0.372642 | − | 0.0197403i | ||||
\(841\) | 20.2095 | + | 14.6830i | 0.696878 | + | 0.506312i | ||||
\(842\) | − | 13.9178i | − | 0.479639i | ||||||
\(843\) | 25.4174i | 0.875422i | ||||||||
\(844\) | 17.7085 | + | 12.8659i | 0.609550 | + | 0.442864i | ||||
\(845\) | 6.12232 | − | 2.35411i | 0.210614 | − | 0.0809837i | ||||
\(846\) | −1.24229 | + | 0.902579i | −0.0427109 | + | 0.0310313i | ||||
\(847\) | −65.3466 | − | 21.2324i | −2.24533 | − | 0.729554i | ||||
\(848\) | −6.36945 | + | 8.76680i | −0.218728 | + | 0.301053i | ||||
\(849\) | −8.19587 | + | 25.2243i | −0.281282 | + | 0.865696i | ||||
\(850\) | 4.17337 | − | 19.7438i | 0.143145 | − | 0.677205i | ||||
\(851\) | 11.4119 | − | 8.29124i | 0.391196 | − | 0.284220i | ||||
\(852\) | −10.7246 | + | 3.48464i | −0.367419 | + | 0.119382i | ||||
\(853\) | −33.6984 | + | 10.9493i | −1.15381 | + | 0.374896i | −0.822577 | − | 0.568653i | \(-0.807465\pi\) |
−0.331233 | + | 0.943549i | \(0.607465\pi\) | |||||||
\(854\) | 43.6178 | − | 31.6902i | 1.49257 | − | 1.08442i | ||||
\(855\) | −0.816981 | − | 15.4223i | −0.0279402 | − | 0.527432i | ||||
\(856\) | −1.32354 | + | 4.07344i | −0.0452377 | + | 0.139227i | ||||
\(857\) | −14.8304 | + | 20.4123i | −0.506598 | + | 0.697272i | −0.983341 | − | 0.181771i | \(-0.941817\pi\) |
0.476743 | + | 0.879043i | \(0.341817\pi\) | |||||||
\(858\) | 15.1494 | + | 4.92235i | 0.517193 | + | 0.168046i | ||||
\(859\) | 37.3194 | − | 27.1142i | 1.27332 | − | 0.925123i | 0.273993 | − | 0.961732i | \(-0.411655\pi\) |
0.999330 | + | 0.0366085i | \(0.0116555\pi\) | |||||||
\(860\) | −9.64768 | − | 25.0907i | −0.328983 | − | 0.855586i | ||||
\(861\) | 28.9318 | + | 21.0202i | 0.985995 | + | 0.716367i | ||||
\(862\) | 7.35624i | 0.250554i | ||||||||
\(863\) | − | 43.3873i | − | 1.47692i | −0.674297 | − | 0.738461i | \(-0.735553\pi\) | ||
0.674297 | − | 0.738461i | \(-0.264447\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | 34.0262 | − | 1.80250i | 1.15693 | − | 0.0612870i | ||||
\(866\) | 6.21826 | − | 19.1378i | 0.211305 | − | 0.650330i | ||||
\(867\) | − | 0.710683i | − | 0.0241361i | ||||||
\(868\) | 26.8526 | + | 2.03997i | 0.911438 | + | 0.0692411i | ||||
\(869\) | 41.3791 | 1.40369 | ||||||||
\(870\) | 2.43957 | − | 3.76126i | 0.0827093 | − | 0.127519i | ||||
\(871\) | −3.29346 | − | 10.1362i | −0.111595 | − | 0.343453i | ||||
\(872\) | 4.47405 | − | 6.15800i | 0.151510 | − | 0.208536i | ||||
\(873\) | − | 0.0503125i | − | 0.00170282i | ||||||
\(874\) | −27.0360 | −0.914508 | ||||||||
\(875\) | 53.3966 | − | 8.54992i | 1.80513 | − | 0.289040i | ||||
\(876\) | −1.98703 | + | 1.44366i | −0.0671356 | + | 0.0487768i | ||||
\(877\) | −7.99283 | − | 11.0012i | −0.269899 | − | 0.371484i | 0.652457 | − | 0.757826i | \(-0.273738\pi\) |
−0.922356 | + | 0.386342i | \(0.873738\pi\) | |||||||
\(878\) | 36.5718 | + | 11.8829i | 1.23424 | + | 0.401029i | ||||
\(879\) | −20.2305 | − | 14.6983i | −0.682359 | − | 0.495763i | ||||
\(880\) | −6.10893 | + | 9.41856i | −0.205932 | + | 0.317500i | ||||
\(881\) | 2.37397 | + | 7.30632i | 0.0799810 | + | 0.246156i | 0.983049 | − | 0.183340i | \(-0.0586910\pi\) |
−0.903069 | + | 0.429497i | \(0.858691\pi\) | |||||||
\(882\) | −9.63636 | − | 13.2633i | −0.324473 | − | 0.446599i | ||||
\(883\) | 29.9000 | − | 9.71509i | 1.00621 | − | 0.326939i | 0.240868 | − | 0.970558i | \(-0.422568\pi\) |
0.765346 | + | 0.643619i | \(0.222568\pi\) | |||||||
\(884\) | 3.95708 | + | 12.1786i | 0.133091 | + | 0.409612i | ||||
\(885\) | −0.747766 | − | 1.94471i | −0.0251359 | − | 0.0653709i | ||||
\(886\) | 3.35621 | + | 10.3293i | 0.112754 | + | 0.347021i | ||||
\(887\) | 48.0551 | + | 15.6140i | 1.61353 | + | 0.524268i | 0.970403 | − | 0.241490i | \(-0.0776361\pi\) |
0.643129 | + | 0.765758i | \(0.277636\pi\) | |||||||
\(888\) | 2.11812 | − | 2.91534i | 0.0710794 | − | 0.0978324i | ||||
\(889\) | −7.51669 | + | 23.1340i | −0.252102 | + | 0.775889i | ||||
\(890\) | −13.8447 | − | 36.0058i | −0.464075 | − | 1.20692i | ||||
\(891\) | −4.06169 | + | 2.95099i | −0.136072 | + | 0.0988619i | ||||
\(892\) | −13.5706 | + | 18.6783i | −0.454376 | + | 0.625395i | ||||
\(893\) | − | 10.6057i | − | 0.354907i | ||||||
\(894\) | −1.55255 | −0.0519251 | ||||||||
\(895\) | 9.71271 | + | 11.9804i | 0.324660 | + | 0.400459i | ||||
\(896\) | −1.49464 | − | 4.60004i | −0.0499326 | − | 0.153677i | ||||
\(897\) | −11.8118 | − | 3.83789i | −0.394385 | − | 0.128144i | ||||
\(898\) | − | 10.1134i | − | 0.337489i | ||||||
\(899\) | 7.22667 | − | 8.50803i | 0.241023 | − | 0.283759i | ||||
\(900\) | 4.33295 | + | 2.49511i | 0.144432 | + | 0.0831703i | ||||
\(901\) | 13.5150 | − | 41.5950i | 0.450251 | − | 1.38573i | ||||
\(902\) | −35.3035 | + | 11.4708i | −1.17548 | + | 0.381936i | ||||
\(903\) | −34.1778 | + | 47.0417i | −1.13737 | + | 1.56545i | ||||
\(904\) | 0.654107 | 0.0217553 | ||||||||
\(905\) | −10.4130 | − | 2.78384i | −0.346138 | − | 0.0925381i | ||||
\(906\) | −5.97239 | − | 4.33919i | −0.198419 | − | 0.144160i | ||||
\(907\) | −8.89723 | − | 12.2460i | −0.295428 | − | 0.406621i | 0.635340 | − | 0.772233i | \(-0.280860\pi\) |
−0.930768 | + | 0.365611i | \(0.880860\pi\) | |||||||
\(908\) | 0.796810 | + | 1.09671i | 0.0264431 | + | 0.0363958i | ||||
\(909\) | −1.21002 | + | 3.72407i | −0.0401339 | + | 0.123520i | ||||
\(910\) | −26.6554 | + | 21.6101i | −0.883619 | + | 0.716367i | ||||
\(911\) | −3.42393 | + | 10.5378i | −0.113440 | + | 0.349132i | −0.991618 | − | 0.129201i | \(-0.958759\pi\) |
0.878179 | + | 0.478333i | \(0.158759\pi\) | |||||||
\(912\) | −6.56870 | + | 2.13430i | −0.217512 | + | 0.0706738i | ||||
\(913\) | 19.2559 | + | 26.5034i | 0.637276 | + | 0.877136i | ||||
\(914\) | 5.54204 | + | 17.0566i | 0.183314 | + | 0.564183i | ||||
\(915\) | 24.8901 | − | 1.31853i | 0.822842 | − | 0.0435892i | ||||
\(916\) | −10.6600 | + | 7.74497i | −0.352217 | + | 0.255901i | ||||
\(917\) | 82.8126 | − | 26.9074i | 2.73471 | − | 0.888562i | ||||
\(918\) | −3.83847 | − | 1.24719i | −0.126688 | − | 0.0411635i | ||||
\(919\) | 19.7015 | + | 14.3140i | 0.649892 | + | 0.472174i | 0.863234 | − | 0.504803i | \(-0.168435\pi\) |
−0.213342 | + | 0.976978i | \(0.568435\pi\) | |||||||
\(920\) | 4.76306 | − | 7.34354i | 0.157033 | − | 0.242109i | ||||
\(921\) | −10.6178 | + | 7.71429i | −0.349869 | + | 0.254195i | ||||
\(922\) | −10.9162 | − | 15.0249i | −0.359507 | − | 0.494819i | ||||
\(923\) | 21.0298 | − | 28.9450i | 0.692205 | − | 0.952738i | ||||
\(924\) | 24.2831 | 0.798856 | ||||||||
\(925\) | 8.99127 | − | 15.6140i | 0.295631 | − | 0.513386i | ||||
\(926\) | 18.5096 | + | 13.4480i | 0.608262 | + | 0.441928i | ||||
\(927\) | 7.54614 | − | 2.45189i | 0.247848 | − | 0.0805307i | ||||
\(928\) | −1.90680 | − | 0.619555i | −0.0625936 | − | 0.0203379i | ||||
\(929\) | 54.4637 | 1.78690 | 0.893448 | − | 0.449166i | \(-0.148279\pi\) | ||||
0.893448 | + | 0.449166i | \(0.148279\pi\) | |||||||
\(930\) | 9.90198 | + | 7.54657i | 0.324699 | + | 0.247462i | ||||
\(931\) | 113.232 | 3.71102 | ||||||||
\(932\) | −1.28916 | − | 0.418873i | −0.0422278 | − | 0.0137207i | ||||
\(933\) | 22.5732 | − | 7.33446i | 0.739012 | − | 0.240120i | ||||
\(934\) | −28.8374 | − | 20.9516i | −0.943590 | − | 0.685558i | ||||
\(935\) | 11.7021 | − | 43.7718i | 0.382701 | − | 1.43149i | ||||
\(936\) | −3.17279 | −0.103706 | ||||||||
\(937\) | 29.0020 | − | 39.9178i | 0.947453 | − | 1.30406i | −0.00519674 | − | 0.999986i | \(-0.501654\pi\) |
0.952650 | − | 0.304070i | \(-0.0983458\pi\) | |||||||
\(938\) | −9.55000 | − | 13.1444i | −0.311819 | − | 0.429181i | ||||
\(939\) | 17.5502 | − | 12.7510i | 0.572729 | − | 0.416112i | ||||
\(940\) | 2.88073 | + | 1.86845i | 0.0939589 | + | 0.0609422i | ||||
\(941\) | 4.10778 | + | 2.98448i | 0.133910 | + | 0.0972912i | 0.652724 | − | 0.757596i | \(-0.273626\pi\) |
−0.518814 | + | 0.854887i | \(0.673626\pi\) | |||||||
\(942\) | 6.71392 | + | 2.18149i | 0.218751 | + | 0.0710767i | ||||
\(943\) | 27.5257 | − | 8.94365i | 0.896361 | − | 0.291245i | ||||
\(944\) | −0.753826 | + | 0.547687i | −0.0245349 | + | 0.0178257i | ||||
\(945\) | −0.572130 | − | 10.8002i | −0.0186114 | − | 0.351331i | ||||
\(946\) | −18.6510 | − | 57.4018i | −0.606396 | − | 1.86629i | ||||
\(947\) | 25.4186 | + | 34.9857i | 0.825994 | + | 1.13688i | 0.988655 | + | 0.150202i | \(0.0479923\pi\) |
−0.162661 | + | 0.986682i | \(0.552008\pi\) | |||||||
\(948\) | −7.83859 | + | 2.54691i | −0.254586 | + | 0.0827199i | ||||
\(949\) | 2.40808 | − | 7.41130i | 0.0781695 | − | 0.240581i | ||||
\(950\) | −31.5322 | + | 14.0817i | −1.02304 | + | 0.456872i | ||||
\(951\) | −1.88749 | + | 5.80909i | −0.0612060 | + | 0.188373i | ||||
\(952\) | 11.4743 | + | 15.7930i | 0.371884 | + | 0.511854i | ||||
\(953\) | 17.9540 | + | 24.7115i | 0.581586 | + | 0.800484i | 0.993868 | − | 0.110572i | \(-0.0352682\pi\) |
−0.412282 | + | 0.911056i | \(0.635268\pi\) | |||||||
\(954\) | 8.76680 | + | 6.36945i | 0.283836 | + | 0.206219i | ||||
\(955\) | 8.50083 | + | 2.27265i | 0.275080 | + | 0.0735411i | ||||
\(956\) | 17.3828 | 0.562201 | ||||||||
\(957\) | 5.91651 | − | 8.14337i | 0.191254 | − | 0.263238i | ||||
\(958\) | −5.56538 | + | 1.80830i | −0.179809 | + | 0.0584236i | ||||
\(959\) | 2.12221 | − | 6.53150i | 0.0685298 | − | 0.210913i | ||||
\(960\) | 0.577517 | − | 2.16020i | 0.0186393 | − | 0.0697202i | ||||
\(961\) | 22.0391 | + | 21.8009i | 0.710938 | + | 0.703255i | ||||
\(962\) | 11.4333i | 0.368625i | ||||||||
\(963\) | 4.07344 | + | 1.32354i | 0.131265 | + | 0.0426506i | ||||
\(964\) | −0.0814406 | − | 0.250648i | −0.00262303 | − | 0.00807284i | ||||
\(965\) | 14.2974 | − | 11.5912i | 0.460249 | − | 0.373133i | ||||
\(966\) | −18.9333 | −0.609167 | ||||||||
\(967\) | − | 27.8388i | − | 0.895234i | −0.894225 | − | 0.447617i | \(-0.852273\pi\) | ||
0.894225 | − | 0.447617i | \(-0.147727\pi\) | |||||||
\(968\) | −8.34987 | + | 11.4926i | −0.268375 | + | 0.369386i | ||||
\(969\) | 22.5519 | − | 16.3849i | 0.724470 | − | 0.526358i | ||||
\(970\) | −0.105007 | + | 0.0403765i | −0.00337157 | + | 0.00129641i | ||||
\(971\) | −3.19329 | + | 9.82793i | −0.102478 | + | 0.315393i | −0.989130 | − | 0.147043i | \(-0.953025\pi\) |
0.886653 | + | 0.462436i | \(0.153025\pi\) | |||||||
\(972\) | 0.587785 | − | 0.809017i | 0.0188532 | − | 0.0259492i | ||||
\(973\) | 4.85957 | + | 1.57897i | 0.155791 | + | 0.0506194i | ||||
\(974\) | −0.403494 | − | 1.24183i | −0.0129288 | − | 0.0397907i | ||||
\(975\) | −15.7752 | + | 1.67605i | −0.505209 | + | 0.0536765i | ||||
\(976\) | −3.44455 | − | 10.6012i | −0.110257 | − | 0.339338i | ||||
\(977\) | 24.3030 | − | 7.89654i | 0.777523 | − | 0.252633i | 0.106741 | − | 0.994287i | \(-0.465958\pi\) |
0.670782 | + | 0.741654i | \(0.265958\pi\) | |||||||
\(978\) | −9.90438 | − | 13.6322i | −0.316707 | − | 0.435910i | ||||
\(979\) | −26.7647 | − | 82.3731i | −0.855402 | − | 2.63266i | ||||
\(980\) | −19.9485 | + | 30.7560i | −0.637231 | + | 0.982464i | ||||
\(981\) | −6.15800 | − | 4.47405i | −0.196610 | − | 0.142845i | ||||
\(982\) | 0.971918 | + | 0.315795i | 0.0310152 | + | 0.0100774i | ||||
\(983\) | 14.3548 | + | 19.7577i | 0.457847 | + | 0.630173i | 0.974061 | − | 0.226287i | \(-0.0726588\pi\) |
−0.516213 | + | 0.856460i | \(0.672659\pi\) | |||||||
\(984\) | 5.98164 | − | 4.34592i | 0.190688 | − | 0.138543i | ||||
\(985\) | −14.8356 | + | 12.0275i | −0.472701 | + | 0.383228i | ||||
\(986\) | 8.09188 | 0.257698 | ||||||||
\(987\) | − | 7.42715i | − | 0.236409i | ||||||
\(988\) | 12.8805 | − | 17.7285i | 0.409784 | − | 0.564019i | ||||
\(989\) | 14.5419 | + | 44.7555i | 0.462407 | + | 1.42314i | ||||
\(990\) | 9.41856 | + | 6.10893i | 0.299341 | + | 0.194154i | ||||
\(991\) | 37.2588 | 1.18356 | 0.591782 | − | 0.806098i | \(-0.298425\pi\) | ||||
0.591782 | + | 0.806098i | \(0.298425\pi\) | |||||||
\(992\) | 2.11671 | − | 5.14971i | 0.0672056 | − | 0.163504i | ||||
\(993\) | 0.256490i | 0.00813947i | ||||||||
\(994\) | 16.8544 | − | 51.8725i | 0.534589 | − | 1.64530i | ||||
\(995\) | −1.19706 | − | 22.5972i | −0.0379495 | − | 0.716380i | ||||
\(996\) | −5.27902 | − | 3.83543i | −0.167272 | − | 0.121530i | ||||
\(997\) | 9.74144i | 0.308514i | 0.988031 | + | 0.154257i | \(0.0492984\pi\) | ||||
−0.988031 | + | 0.154257i | \(0.950702\pi\) | |||||||
\(998\) | 30.5256i | 0.966271i | ||||||||
\(999\) | −2.91534 | − | 2.11812i | −0.0922372 | − | 0.0670143i |
(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 | 930.2.z.d.349.11 | yes | 72 | |
5.4 | even | 2 | inner | 930.2.z.d.349.2 | ✓ | 72 | |
31.4 | even | 5 | inner | 930.2.z.d.469.2 | yes | 72 | |
155.4 | even | 10 | inner | 930.2.z.d.469.11 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.z.d.349.2 | ✓ | 72 | 5.4 | even | 2 | inner | |
930.2.z.d.349.11 | yes | 72 | 1.1 | even | 1 | trivial | |
930.2.z.d.469.2 | yes | 72 | 31.4 | even | 5 | inner | |
930.2.z.d.469.11 | yes | 72 | 155.4 | even | 10 | inner |