Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [95,2,Mod(4,95)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(95, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("95.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.p (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.758578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 24.1 | ||
Character | \(\chi\) | \(=\) | 95.24 |
Dual form | 95.2.p.a.4.1 |
$q$-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 \(\left(\mathbb{Z}/95\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.810919 | − | 2.22798i | −0.573406 | − | 1.57542i | −0.799084 | − | 0.601219i | \(-0.794682\pi\) |
0.225678 | − | 0.974202i | \(-0.427540\pi\) | |||||||
\(3\) | 2.25040 | + | 0.396806i | 1.29927 | + | 0.229096i | 0.780143 | − | 0.625601i | \(-0.215146\pi\) |
0.519126 | + | 0.854698i | \(0.326257\pi\) | |||||||
\(4\) | −2.77422 | + | 2.32785i | −1.38711 | + | 1.16392i | ||||
\(5\) | 2.12266 | − | 0.703088i | 0.949281 | − | 0.314430i | ||||
\(6\) | −0.940815 | − | 5.33563i | −0.384086 | − | 2.17826i | ||||
\(7\) | −1.41749 | + | 0.818386i | −0.535759 | + | 0.309321i | −0.743359 | − | 0.668893i | \(-0.766768\pi\) |
0.207599 | + | 0.978214i | \(0.433435\pi\) | |||||||
\(8\) | 3.32944 | + | 1.92225i | 1.17713 | + | 0.679619i | ||||
\(9\) | 2.08777 | + | 0.759885i | 0.695923 | + | 0.253295i | ||||
\(10\) | −3.28777 | − | 4.15909i | −1.03968 | − | 1.31522i | ||||
\(11\) | −1.36374 | + | 2.36206i | −0.411183 | + | 0.712189i | −0.995019 | − | 0.0996818i | \(-0.968218\pi\) |
0.583837 | + | 0.811871i | \(0.301551\pi\) | |||||||
\(12\) | −7.16682 | + | 4.13776i | −2.06888 | + | 1.19447i | ||||
\(13\) | −6.10515 | + | 1.07650i | −1.69326 | + | 0.298568i | −0.935333 | − | 0.353768i | \(-0.884900\pi\) |
−0.757930 | + | 0.652336i | \(0.773789\pi\) | |||||||
\(14\) | 2.97282 | + | 2.49449i | 0.794518 | + | 0.666680i | ||||
\(15\) | 5.05581 | − | 0.739946i | 1.30541 | − | 0.191053i | ||||
\(16\) | 0.325107 | − | 1.84377i | 0.0812767 | − | 0.460943i | ||||
\(17\) | −1.06864 | − | 2.93608i | −0.259184 | − | 0.712103i | −0.999218 | − | 0.0395336i | \(-0.987413\pi\) |
0.740034 | − | 0.672570i | \(-0.234809\pi\) | |||||||
\(18\) | − | 5.26771i | − | 1.24161i | ||||||
\(19\) | 3.46824 | − | 2.64032i | 0.795669 | − | 0.605732i | ||||
\(20\) | −4.25204 | + | 6.89175i | −0.950785 | + | 1.54104i | ||||
\(21\) | −3.51465 | + | 1.27923i | −0.766960 | + | 0.279151i | ||||
\(22\) | 6.36852 | + | 1.12294i | 1.35777 | + | 0.239412i | ||||
\(23\) | 4.69173 | + | 5.59139i | 0.978293 | + | 1.16588i | 0.986140 | + | 0.165915i | \(0.0530579\pi\) |
−0.00784655 | + | 0.999969i | \(0.502498\pi\) | |||||||
\(24\) | 6.72981 | + | 5.64698i | 1.37372 | + | 1.15268i | ||||
\(25\) | 4.01134 | − | 2.98483i | 0.802267 | − | 0.596965i | ||||
\(26\) | 7.34921 | + | 12.7292i | 1.44130 | + | 2.49640i | ||||
\(27\) | −1.54012 | − | 0.889189i | −0.296396 | − | 0.171124i | ||||
\(28\) | 2.02734 | − | 5.57008i | 0.383132 | − | 1.05265i | ||||
\(29\) | 2.09149 | + | 0.761241i | 0.388381 | + | 0.141359i | 0.528828 | − | 0.848729i | \(-0.322632\pi\) |
−0.140447 | + | 0.990088i | \(0.544854\pi\) | |||||||
\(30\) | −5.74844 | − | 10.6642i | −1.04952 | − | 1.94701i | ||||
\(31\) | −2.21333 | − | 3.83360i | −0.397526 | − | 0.688535i | 0.595894 | − | 0.803063i | \(-0.296798\pi\) |
−0.993420 | + | 0.114528i | \(0.963464\pi\) | |||||||
\(32\) | 3.20067 | − | 0.564364i | 0.565804 | − | 0.0997665i | ||||
\(33\) | −4.00624 | + | 4.77445i | −0.697397 | + | 0.831125i | ||||
\(34\) | −5.67494 | + | 4.76184i | −0.973244 | + | 0.816649i | ||||
\(35\) | −2.43344 | + | 2.73377i | −0.411326 | + | 0.462091i | ||||
\(36\) | −7.56083 | + | 2.75192i | −1.26014 | + | 0.458653i | ||||
\(37\) | 2.04016i | 0.335400i | 0.985838 | + | 0.167700i | \(0.0536339\pi\) | ||||
−0.985838 | + | 0.167700i | \(0.946366\pi\) | |||||||
\(38\) | −8.69505 | − | 5.58609i | −1.41052 | − | 0.906183i | ||||
\(39\) | −14.1662 | −2.26841 | ||||||||
\(40\) | 8.41876 | + | 1.73939i | 1.33112 | + | 0.275022i | ||||
\(41\) | 0.681538 | − | 3.86519i | 0.106438 | − | 0.603642i | −0.884198 | − | 0.467113i | \(-0.845294\pi\) |
0.990636 | − | 0.136529i | \(-0.0435947\pi\) | |||||||
\(42\) | 5.70020 | + | 6.79323i | 0.879559 | + | 1.04822i | ||||
\(43\) | −0.303946 | + | 0.362229i | −0.0463513 | + | 0.0552394i | −0.788722 | − | 0.614750i | \(-0.789257\pi\) |
0.742371 | + | 0.669989i | \(0.233701\pi\) | |||||||
\(44\) | −1.71522 | − | 9.72747i | −0.258579 | − | 1.46647i | ||||
\(45\) | 4.96588 | + | 0.145091i | 0.740270 | + | 0.0216289i | ||||
\(46\) | 8.65289 | − | 14.9872i | 1.27580 | − | 2.20975i | ||||
\(47\) | −0.787194 | + | 2.16280i | −0.114824 | + | 0.315477i | −0.983771 | − | 0.179429i | \(-0.942575\pi\) |
0.868947 | + | 0.494905i | \(0.164797\pi\) | |||||||
\(48\) | 1.46324 | − | 4.02022i | 0.211201 | − | 0.580269i | ||||
\(49\) | −2.16049 | + | 3.74208i | −0.308641 | + | 0.534582i | ||||
\(50\) | −9.90301 | − | 6.51673i | −1.40050 | − | 0.921605i | ||||
\(51\) | −1.23982 | − | 7.03139i | −0.173610 | − | 0.984592i | ||||
\(52\) | 14.4311 | − | 17.1983i | 2.00123 | − | 2.38498i | ||||
\(53\) | −4.09062 | − | 4.87501i | −0.561890 | − | 0.669634i | 0.408056 | − | 0.912957i | \(-0.366207\pi\) |
−0.969945 | + | 0.243323i | \(0.921762\pi\) | |||||||
\(54\) | −0.732183 | + | 4.15242i | −0.0996375 | + | 0.565073i | ||||
\(55\) | −1.23401 | + | 5.97268i | −0.166394 | + | 0.805356i | ||||
\(56\) | −6.29258 | −0.840881 | ||||||||
\(57\) | 8.85263 | − | 4.56556i | 1.17256 | − | 0.604724i | ||||
\(58\) | − | 5.27711i | − | 0.692919i | ||||||
\(59\) | 11.5263 | − | 4.19524i | 1.50060 | − | 0.546174i | 0.544385 | − | 0.838835i | \(-0.316763\pi\) |
0.956216 | + | 0.292661i | \(0.0945407\pi\) | |||||||
\(60\) | −12.3035 | + | 13.8220i | −1.58837 | + | 1.78441i | ||||
\(61\) | −3.66993 | + | 3.07944i | −0.469887 | + | 0.394282i | −0.846753 | − | 0.531986i | \(-0.821446\pi\) |
0.376867 | + | 0.926268i | \(0.377002\pi\) | |||||||
\(62\) | −6.74636 | + | 8.03999i | −0.856788 | + | 1.02108i | ||||
\(63\) | −3.58126 | + | 0.631473i | −0.451197 | + | 0.0795581i | ||||
\(64\) | −5.72509 | − | 9.91615i | −0.715637 | − | 1.23952i | ||||
\(65\) | −12.2023 | + | 6.57750i | −1.51350 | + | 0.815838i | ||||
\(66\) | 13.8861 | + | 5.05414i | 1.70926 | + | 0.622121i | ||||
\(67\) | 0.229482 | − | 0.630496i | 0.0280357 | − | 0.0770274i | −0.924885 | − | 0.380246i | \(-0.875839\pi\) |
0.952921 | + | 0.303219i | \(0.0980614\pi\) | |||||||
\(68\) | 9.79940 | + | 5.65769i | 1.18835 | + | 0.686095i | ||||
\(69\) | 8.33957 | + | 14.4446i | 1.00397 | + | 1.73892i | ||||
\(70\) | 8.06411 | + | 3.20479i | 0.963845 | + | 0.383046i | ||||
\(71\) | 2.01848 | + | 1.69370i | 0.239549 | + | 0.201006i | 0.754657 | − | 0.656120i | \(-0.227803\pi\) |
−0.515107 | + | 0.857126i | \(0.672248\pi\) | |||||||
\(72\) | 5.49040 | + | 6.54321i | 0.647050 | + | 0.771124i | ||||
\(73\) | −6.41403 | − | 1.13097i | −0.750706 | − | 0.132370i | −0.214812 | − | 0.976655i | \(-0.568914\pi\) |
−0.535893 | + | 0.844286i | \(0.680025\pi\) | |||||||
\(74\) | 4.54543 | − | 1.65440i | 0.528395 | − | 0.192320i | ||||
\(75\) | 10.2115 | − | 5.12533i | 1.17912 | − | 0.591822i | ||||
\(76\) | −3.47540 | + | 15.3984i | −0.398656 | + | 1.76632i | ||||
\(77\) | − | 4.46426i | − | 0.508750i | ||||||
\(78\) | 11.4876 | + | 31.5620i | 1.30072 | + | 3.57369i | ||||
\(79\) | −0.715459 | + | 4.05757i | −0.0804954 | + | 0.456512i | 0.917743 | + | 0.397176i | \(0.130010\pi\) |
−0.998238 | + | 0.0593365i | \(0.981101\pi\) | |||||||
\(80\) | −0.606244 | − | 4.14227i | −0.0677801 | − | 0.463120i | ||||
\(81\) | −8.21894 | − | 6.89651i | −0.913216 | − | 0.766279i | ||||
\(82\) | −9.16425 | + | 1.61590i | −1.01202 | + | 0.178447i | ||||
\(83\) | 5.56331 | − | 3.21198i | 0.610653 | − | 0.352560i | −0.162568 | − | 0.986697i | \(-0.551978\pi\) |
0.773221 | + | 0.634137i | \(0.218644\pi\) | |||||||
\(84\) | 6.77258 | − | 11.7304i | 0.738949 | − | 1.27990i | ||||
\(85\) | −4.33268 | − | 5.48093i | −0.469946 | − | 0.594490i | ||||
\(86\) | 1.05351 | + | 0.383448i | 0.113603 | + | 0.0413483i | ||||
\(87\) | 4.40463 | + | 2.54302i | 0.472226 | + | 0.272640i | ||||
\(88\) | −9.08097 | + | 5.24290i | −0.968034 | + | 0.558895i | ||||
\(89\) | −3.00487 | − | 17.0415i | −0.318516 | − | 1.80639i | −0.551791 | − | 0.833982i | \(-0.686056\pi\) |
0.233276 | − | 0.972411i | \(-0.425056\pi\) | |||||||
\(90\) | −3.70367 | − | 11.1815i | −0.390401 | − | 1.17864i | ||||
\(91\) | 7.77297 | − | 6.52229i | 0.814828 | − | 0.683722i | ||||
\(92\) | −26.0318 | − | 4.59011i | −2.71400 | − | 0.478552i | ||||
\(93\) | −3.45968 | − | 9.50539i | −0.358752 | − | 0.985664i | ||||
\(94\) | 5.45702 | 0.562849 | ||||||||
\(95\) | 5.50550 | − | 8.04297i | 0.564853 | − | 0.825192i | ||||
\(96\) | 7.42673 | 0.757988 | ||||||||
\(97\) | −0.0444434 | − | 0.122107i | −0.00451254 | − | 0.0123981i | 0.937416 | − | 0.348212i | \(-0.113211\pi\) |
−0.941928 | + | 0.335814i | \(0.890989\pi\) | |||||||
\(98\) | 10.0893 | + | 1.77901i | 1.01917 | + | 0.179707i | ||||
\(99\) | −4.64207 | + | 3.89516i | −0.466546 | + | 0.391478i | ||||
\(100\) | −4.18011 | + | 17.6184i | −0.418011 | + | 1.76184i | ||||
\(101\) | 0.648657 | + | 3.67872i | 0.0645438 | + | 0.366046i | 0.999923 | + | 0.0123999i | \(0.00394711\pi\) |
−0.935379 | + | 0.353646i | \(0.884942\pi\) | |||||||
\(102\) | −14.6604 | + | 8.46419i | −1.45160 | + | 0.838080i | ||||
\(103\) | 5.71537 | + | 3.29977i | 0.563152 | + | 0.325136i | 0.754410 | − | 0.656404i | \(-0.227923\pi\) |
−0.191258 | + | 0.981540i | \(0.561257\pi\) | |||||||
\(104\) | −22.3960 | − | 8.15148i | −2.19611 | − | 0.799319i | ||||
\(105\) | −6.56099 | + | 5.18647i | −0.640287 | + | 0.506148i | ||||
\(106\) | −7.54427 | + | 13.0671i | −0.732764 | + | 1.26918i | ||||
\(107\) | 10.2150 | − | 5.89764i | 0.987522 | − | 0.570146i | 0.0829897 | − | 0.996550i | \(-0.473553\pi\) |
0.904533 | + | 0.426404i | \(0.140220\pi\) | |||||||
\(108\) | 6.34253 | − | 1.11836i | 0.610310 | − | 0.107614i | ||||
\(109\) | −5.54468 | − | 4.65254i | −0.531084 | − | 0.445632i | 0.337392 | − | 0.941364i | \(-0.390455\pi\) |
−0.868475 | + | 0.495732i | \(0.834900\pi\) | |||||||
\(110\) | 14.3077 | − | 2.09401i | 1.36419 | − | 0.199656i | ||||
\(111\) | −0.809547 | + | 4.59117i | −0.0768388 | + | 0.435774i | ||||
\(112\) | 1.04808 | + | 2.87958i | 0.0990345 | + | 0.272095i | ||||
\(113\) | 13.2879i | 1.25002i | 0.780616 | + | 0.625010i | \(0.214905\pi\) | ||||
−0.780616 | + | 0.625010i | \(0.785095\pi\) | |||||||
\(114\) | −17.3508 | − | 16.0212i | −1.62505 | − | 1.50052i | ||||
\(115\) | 13.8902 | + | 8.56989i | 1.29526 | + | 0.799146i | ||||
\(116\) | −7.57432 | + | 2.75683i | −0.703258 | + | 0.255965i | ||||
\(117\) | −13.5642 | − | 2.39173i | −1.25401 | − | 0.221115i | ||||
\(118\) | −18.6939 | − | 22.2785i | −1.72091 | − | 2.05090i | ||||
\(119\) | 3.91763 | + | 3.28728i | 0.359129 | + | 0.301345i | ||||
\(120\) | 18.2554 | + | 7.25495i | 1.66648 | + | 0.662283i | ||||
\(121\) | 1.78043 | + | 3.08380i | 0.161858 | + | 0.280345i | ||||
\(122\) | 9.83695 | + | 5.67937i | 0.890596 | + | 0.514186i | ||||
\(123\) | 3.06747 | − | 8.42779i | 0.276584 | − | 0.759909i | ||||
\(124\) | 15.0643 | + | 5.48296i | 1.35282 | + | 0.492384i | ||||
\(125\) | 6.41609 | − | 9.15608i | 0.573872 | − | 0.818945i | ||||
\(126\) | 4.31102 | + | 7.46691i | 0.384057 | + | 0.665205i | ||||
\(127\) | −8.56161 | + | 1.50964i | −0.759720 | + | 0.133959i | −0.540071 | − | 0.841620i | \(-0.681603\pi\) |
−0.219650 | + | 0.975579i | \(0.570491\pi\) | |||||||
\(128\) | −13.2722 | + | 15.8172i | −1.17311 | + | 1.39806i | ||||
\(129\) | −0.827735 | + | 0.694552i | −0.0728780 | + | 0.0611519i | ||||
\(130\) | 24.5496 | + | 21.8526i | 2.15314 | + | 1.91660i | ||||
\(131\) | −9.90994 | + | 3.60692i | −0.865835 | + | 0.315138i | −0.736479 | − | 0.676460i | \(-0.763513\pi\) |
−0.129356 | + | 0.991598i | \(0.541291\pi\) | |||||||
\(132\) | − | 22.5713i | − | 1.96458i | ||||||
\(133\) | −2.75538 | + | 6.58098i | −0.238922 | + | 0.570643i | ||||
\(134\) | −1.59083 | −0.137426 | ||||||||
\(135\) | −3.89432 | − | 0.804602i | −0.335170 | − | 0.0692491i | ||||
\(136\) | 2.08589 | − | 11.8297i | 0.178864 | − | 1.01439i | ||||
\(137\) | −0.255327 | − | 0.304287i | −0.0218141 | − | 0.0259970i | 0.755027 | − | 0.655694i | \(-0.227624\pi\) |
−0.776841 | + | 0.629697i | \(0.783179\pi\) | |||||||
\(138\) | 25.4195 | − | 30.2938i | 2.16385 | − | 2.57878i | ||||
\(139\) | 1.30330 | + | 7.39141i | 0.110545 | + | 0.626931i | 0.988860 | + | 0.148849i | \(0.0475568\pi\) |
−0.878315 | + | 0.478082i | \(0.841332\pi\) | |||||||
\(140\) | 0.387097 | − | 13.2488i | 0.0327157 | − | 1.11972i | ||||
\(141\) | −2.62971 | + | 4.55480i | −0.221462 | + | 0.383583i | ||||
\(142\) | 2.13672 | − | 5.87059i | 0.179310 | − | 0.492649i | ||||
\(143\) | 5.78306 | − | 15.8888i | 0.483604 | − | 1.32869i | ||||
\(144\) | 2.07980 | − | 3.60232i | 0.173317 | − | 0.300194i | ||||
\(145\) | 4.97474 | + | 0.145350i | 0.413130 | + | 0.0120707i | ||||
\(146\) | 2.68149 | + | 15.2075i | 0.221922 | + | 1.25858i | ||||
\(147\) | −6.34684 | + | 7.56387i | −0.523479 | + | 0.623858i | ||||
\(148\) | −4.74918 | − | 5.65985i | −0.390380 | − | 0.465237i | ||||
\(149\) | 0.640034 | − | 3.62981i | 0.0524336 | − | 0.297366i | −0.947302 | − | 0.320341i | \(-0.896203\pi\) |
0.999736 | + | 0.0229749i | \(0.00731377\pi\) | |||||||
\(150\) | −19.6998 | − | 18.5948i | −1.60849 | − | 1.51826i | ||||
\(151\) | −4.49051 | −0.365433 | −0.182716 | − | 0.983166i | \(-0.558489\pi\) | ||||
−0.182716 | + | 0.983166i | \(0.558489\pi\) | |||||||
\(152\) | 16.6227 | − | 2.12396i | 1.34828 | − | 0.172276i | ||||
\(153\) | − | 6.94189i | − | 0.561219i | ||||||
\(154\) | −9.94629 | + | 3.62015i | −0.801495 | + | 0.291720i | ||||
\(155\) | −7.39349 | − | 6.58125i | −0.593860 | − | 0.528618i | ||||
\(156\) | 39.3002 | − | 32.9768i | 3.14653 | − | 2.64025i | ||||
\(157\) | −13.0262 | + | 15.5240i | −1.03960 | + | 1.23895i | −0.0691635 | + | 0.997605i | \(0.522033\pi\) |
−0.970439 | + | 0.241345i | \(0.922411\pi\) | |||||||
\(158\) | 9.62037 | − | 1.69633i | 0.765355 | − | 0.134953i | ||||
\(159\) | −7.27109 | − | 12.5939i | −0.576635 | − | 0.998761i | ||||
\(160\) | 6.39712 | − | 3.44830i | 0.505737 | − | 0.272612i | ||||
\(161\) | −11.2264 | − | 4.08607i | −0.884762 | − | 0.322027i | ||||
\(162\) | −8.70040 | + | 23.9042i | −0.683568 | + | 1.87809i | ||||
\(163\) | 13.5611 | + | 7.82949i | 1.06219 | + | 0.613253i | 0.926036 | − | 0.377436i | \(-0.123194\pi\) |
0.136149 | + | 0.990688i | \(0.456527\pi\) | |||||||
\(164\) | 7.10685 | + | 12.3094i | 0.554952 | + | 0.961205i | ||||
\(165\) | −5.14701 | + | 12.9513i | −0.400694 | + | 1.00825i | ||||
\(166\) | −11.6676 | − | 9.79030i | −0.905583 | − | 0.759875i | ||||
\(167\) | 3.88610 | + | 4.63128i | 0.300716 | + | 0.358379i | 0.895150 | − | 0.445765i | \(-0.147068\pi\) |
−0.594434 | + | 0.804144i | \(0.702624\pi\) | |||||||
\(168\) | −14.1608 | − | 2.49693i | −1.09253 | − | 0.192643i | ||||
\(169\) | 23.8980 | − | 8.69815i | 1.83831 | − | 0.669088i | ||||
\(170\) | −8.69795 | + | 14.0977i | −0.667103 | + | 1.08125i | ||||
\(171\) | 9.24723 | − | 2.87692i | 0.707153 | − | 0.220003i | ||||
\(172\) | − | 1.71244i | − | 0.130573i | ||||||
\(173\) | 0.561050 | + | 1.54147i | 0.0426558 | + | 0.117196i | 0.959192 | − | 0.282757i | \(-0.0912489\pi\) |
−0.916536 | + | 0.399952i | \(0.869027\pi\) | |||||||
\(174\) | 2.09399 | − | 11.8756i | 0.158745 | − | 0.900288i | ||||
\(175\) | −3.24327 | + | 7.51377i | −0.245168 | + | 0.567988i | ||||
\(176\) | 3.91175 | + | 3.28235i | 0.294859 | + | 0.247416i | ||||
\(177\) | 27.6036 | − | 4.86726i | 2.07481 | − | 0.365845i | ||||
\(178\) | −35.5314 | + | 20.5141i | −2.66319 | + | 1.53759i | ||||
\(179\) | −7.09424 | + | 12.2876i | −0.530248 | + | 0.918417i | 0.469129 | + | 0.883130i | \(0.344568\pi\) |
−0.999377 | + | 0.0352872i | \(0.988765\pi\) | |||||||
\(180\) | −14.1142 | + | 11.1573i | −1.05201 | + | 0.831616i | ||||
\(181\) | −21.5620 | − | 7.84794i | −1.60269 | − | 0.583333i | −0.622718 | − | 0.782446i | \(-0.713972\pi\) |
−0.979976 | + | 0.199113i | \(0.936194\pi\) | |||||||
\(182\) | −20.8348 | − | 12.0290i | −1.54438 | − | 0.891647i | ||||
\(183\) | −9.48076 | + | 5.47372i | −0.700838 | + | 0.404629i | ||||
\(184\) | 4.87277 | + | 27.6349i | 0.359226 | + | 2.03727i | ||||
\(185\) | 1.43441 | + | 4.33055i | 0.105460 | + | 0.318388i | ||||
\(186\) | −18.3723 | + | 15.4162i | −1.34712 | + | 1.13037i | ||||
\(187\) | 8.39256 | + | 1.47983i | 0.613724 | + | 0.108216i | ||||
\(188\) | −2.85082 | − | 7.83255i | −0.207917 | − | 0.571248i | ||||
\(189\) | 2.91080 | 0.211729 | ||||||||
\(190\) | −22.3841 | − | 5.74396i | −1.62391 | − | 0.416710i | ||||
\(191\) | 10.2099 | 0.738762 | 0.369381 | − | 0.929278i | \(-0.379570\pi\) | ||||
0.369381 | + | 0.929278i | \(0.379570\pi\) | |||||||
\(192\) | −8.94896 | − | 24.5871i | −0.645835 | − | 1.77442i | ||||
\(193\) | 11.6515 | + | 2.05447i | 0.838693 | + | 0.147884i | 0.576465 | − | 0.817122i | \(-0.304432\pi\) |
0.262228 | + | 0.965006i | \(0.415543\pi\) | |||||||
\(194\) | −0.236012 | + | 0.198038i | −0.0169447 | + | 0.0142183i | ||||
\(195\) | −30.0699 | + | 9.96007i | −2.15335 | + | 0.713256i | ||||
\(196\) | −2.71731 | − | 15.4106i | −0.194094 | − | 1.10076i | ||||
\(197\) | 2.36143 | − | 1.36337i | 0.168245 | − | 0.0971363i | −0.413513 | − | 0.910498i | \(-0.635698\pi\) |
0.581758 | + | 0.813362i | \(0.302365\pi\) | |||||||
\(198\) | 12.4427 | + | 7.18379i | 0.884263 | + | 0.510529i | ||||
\(199\) | 4.20830 | + | 1.53170i | 0.298319 | + | 0.108579i | 0.486843 | − | 0.873489i | \(-0.338148\pi\) |
−0.188525 | + | 0.982068i | \(0.560371\pi\) | |||||||
\(200\) | 19.0931 | − | 2.22700i | 1.35008 | − | 0.157473i | ||||
\(201\) | 0.766611 | − | 1.32781i | 0.0540726 | − | 0.0936564i | ||||
\(202\) | 7.67010 | − | 4.42834i | 0.539666 | − | 0.311577i | ||||
\(203\) | −3.58765 | + | 0.632600i | −0.251804 | + | 0.0443998i | ||||
\(204\) | 19.8076 | + | 16.6205i | 1.38681 | + | 1.16367i | ||||
\(205\) | −1.27090 | − | 8.68366i | −0.0887635 | − | 0.606493i | ||||
\(206\) | 2.71712 | − | 15.4096i | 0.189311 | − | 1.07364i | ||||
\(207\) | 5.54643 | + | 15.2387i | 0.385504 | + | 1.05916i | ||||
\(208\) | 11.6065i | 0.804764i | ||||||||
\(209\) | 1.50684 | + | 11.7929i | 0.104230 | + | 0.815733i | ||||
\(210\) | 16.8758 | + | 10.4119i | 1.16454 | + | 0.718493i | ||||
\(211\) | 6.89756 | − | 2.51051i | 0.474847 | − | 0.172830i | −0.0934995 | − | 0.995619i | \(-0.529805\pi\) |
0.568347 | + | 0.822789i | \(0.307583\pi\) | |||||||
\(212\) | 22.6966 | + | 4.00202i | 1.55881 | + | 0.274860i | ||||
\(213\) | 3.87031 | + | 4.61246i | 0.265189 | + | 0.316041i | ||||
\(214\) | −21.4234 | − | 17.9763i | −1.46447 | − | 1.22884i | ||||
\(215\) | −0.390494 | + | 0.982588i | −0.0266315 | + | 0.0670119i | ||||
\(216\) | −3.41849 | − | 5.92100i | −0.232599 | − | 0.402873i | ||||
\(217\) | 6.27473 | + | 3.62272i | 0.425956 | + | 0.245926i | ||||
\(218\) | −5.86948 | + | 16.1263i | −0.397532 | + | 1.09221i | ||||
\(219\) | −13.9854 | − | 5.09026i | −0.945044 | − | 0.343968i | ||||
\(220\) | −10.4801 | − | 19.4421i | −0.706567 | − | 1.31079i | ||||
\(221\) | 9.68493 | + | 16.7748i | 0.651479 | + | 1.12839i | ||||
\(222\) | 10.8855 | − | 1.91941i | 0.730588 | − | 0.128822i | ||||
\(223\) | 10.6581 | − | 12.7019i | 0.713721 | − | 0.850580i | −0.280284 | − | 0.959917i | \(-0.590429\pi\) |
0.994005 | + | 0.109338i | \(0.0348730\pi\) | |||||||
\(224\) | −4.07504 | + | 3.41936i | −0.272275 | + | 0.228466i | ||||
\(225\) | 10.6429 | − | 3.18347i | 0.709524 | − | 0.212231i | ||||
\(226\) | 29.6052 | − | 10.7754i | 1.96931 | − | 0.716770i | ||||
\(227\) | − | 11.7828i | − | 0.782052i | −0.920380 | − | 0.391026i | \(-0.872120\pi\) | ||
0.920380 | − | 0.391026i | \(-0.127880\pi\) | |||||||
\(228\) | −13.9312 | + | 33.2735i | −0.922617 | + | 2.20359i | ||||
\(229\) | 7.82331 | 0.516979 | 0.258490 | − | 0.966014i | \(-0.416775\pi\) | ||||
0.258490 | + | 0.966014i | \(0.416775\pi\) | |||||||
\(230\) | 7.82976 | − | 37.8965i | 0.516279 | − | 2.49882i | ||||
\(231\) | 1.77145 | − | 10.0464i | 0.116553 | − | 0.661003i | ||||
\(232\) | 5.50020 | + | 6.55488i | 0.361106 | + | 0.430349i | ||||
\(233\) | 4.31937 | − | 5.14763i | 0.282971 | − | 0.337232i | −0.605771 | − | 0.795639i | \(-0.707135\pi\) |
0.888742 | + | 0.458407i | \(0.151580\pi\) | |||||||
\(234\) | 5.67071 | + | 32.1602i | 0.370706 | + | 2.10238i | ||||
\(235\) | −0.150305 | + | 5.14434i | −0.00980484 | + | 0.335580i | ||||
\(236\) | −22.2107 | + | 38.4701i | −1.44580 | + | 2.50419i | ||||
\(237\) | −3.22014 | + | 8.84726i | −0.209170 | + | 0.574691i | ||||
\(238\) | 4.14713 | − | 11.3941i | 0.268818 | − | 0.738572i | ||||
\(239\) | −7.98728 | + | 13.8344i | −0.516654 | + | 0.894871i | 0.483159 | + | 0.875533i | \(0.339489\pi\) |
−0.999813 | + | 0.0193382i | \(0.993844\pi\) | |||||||
\(240\) | 0.279388 | − | 9.56233i | 0.0180344 | − | 0.617246i | ||||
\(241\) | 1.81557 | + | 10.2966i | 0.116951 | + | 0.663261i | 0.985766 | + | 0.168124i | \(0.0537710\pi\) |
−0.868815 | + | 0.495137i | \(0.835118\pi\) | |||||||
\(242\) | 5.42686 | − | 6.46748i | 0.348852 | − | 0.415746i | ||||
\(243\) | −12.3300 | − | 14.6943i | −0.790968 | − | 0.942639i | ||||
\(244\) | 3.01274 | − | 17.0861i | 0.192871 | − | 1.09383i | ||||
\(245\) | −1.95497 | + | 9.46215i | −0.124898 | + | 0.604515i | ||||
\(246\) | −21.2644 | −1.35577 | ||||||||
\(247\) | −18.3318 | + | 19.8531i | −1.16642 | + | 1.26322i | ||||
\(248\) | − | 17.0183i | − | 1.08066i | ||||||
\(249\) | 13.7942 | − | 5.02068i | 0.874172 | − | 0.318173i | ||||
\(250\) | −25.6025 | − | 6.87009i | −1.61924 | − | 0.434503i | ||||
\(251\) | −9.08999 | + | 7.62741i | −0.573755 | + | 0.481438i | −0.882890 | − | 0.469581i | \(-0.844405\pi\) |
0.309135 | + | 0.951018i | \(0.399961\pi\) | |||||||
\(252\) | 8.46525 | − | 10.0885i | 0.533260 | − | 0.635515i | ||||
\(253\) | −19.6055 | + | 3.45698i | −1.23259 | + | 0.217339i | ||||
\(254\) | 10.3062 | + | 17.8509i | 0.646670 | + | 1.12007i | ||||
\(255\) | −7.57541 | − | 14.0535i | −0.474390 | − | 0.880066i | ||||
\(256\) | 24.4839 | + | 8.91141i | 1.53024 | + | 0.556963i | ||||
\(257\) | −1.30525 | + | 3.58614i | −0.0814191 | + | 0.223697i | −0.973722 | − | 0.227740i | \(-0.926866\pi\) |
0.892303 | + | 0.451437i | \(0.149089\pi\) | |||||||
\(258\) | 2.21868 | + | 1.28095i | 0.138129 | + | 0.0797486i | ||||
\(259\) | −1.66963 | − | 2.89189i | −0.103746 | − | 0.179693i | ||||
\(260\) | 18.5403 | − | 46.6525i | 1.14982 | − | 2.89326i | ||||
\(261\) | 3.78810 | + | 3.17859i | 0.234477 | + | 0.196750i | ||||
\(262\) | 16.0723 | + | 19.1542i | 0.992951 | + | 1.18335i | ||||
\(263\) | 2.08737 | + | 0.368060i | 0.128713 | + | 0.0226956i | 0.237633 | − | 0.971355i | \(-0.423628\pi\) |
−0.108921 | + | 0.994050i | \(0.534739\pi\) | |||||||
\(264\) | −22.5162 | + | 8.19524i | −1.38578 | + | 0.504382i | ||||
\(265\) | −12.1105 | − | 7.47190i | −0.743944 | − | 0.458995i | ||||
\(266\) | 16.8967 | + | 0.802292i | 1.03600 | + | 0.0491917i | ||||
\(267\) | − | 39.5425i | − | 2.41996i | ||||||
\(268\) | 0.831067 | + | 2.28334i | 0.0507655 | + | 0.139477i | ||||
\(269\) | 0.682137 | − | 3.86859i | 0.0415906 | − | 0.235872i | −0.956925 | − | 0.290335i | \(-0.906233\pi\) |
0.998516 | + | 0.0544625i | \(0.0173445\pi\) | |||||||
\(270\) | 1.36534 | + | 9.32894i | 0.0830920 | + | 0.567741i | ||||
\(271\) | 14.5057 | + | 12.1717i | 0.881159 | + | 0.739380i | 0.966417 | − | 0.256979i | \(-0.0827271\pi\) |
−0.0852584 | + | 0.996359i | \(0.527172\pi\) | |||||||
\(272\) | −5.76088 | + | 1.01580i | −0.349305 | + | 0.0615918i | ||||
\(273\) | 20.0804 | − | 11.5934i | 1.21532 | − | 0.701665i | ||||
\(274\) | −0.470897 | + | 0.815617i | −0.0284479 | + | 0.0492732i | ||||
\(275\) | 1.57994 | + | 13.5456i | 0.0952740 | + | 0.816828i | ||||
\(276\) | −56.7606 | − | 20.6592i | −3.41659 | − | 1.24354i | ||||
\(277\) | −13.0141 | − | 7.51370i | −0.781942 | − | 0.451454i | 0.0551762 | − | 0.998477i | \(-0.482428\pi\) |
−0.837118 | + | 0.547022i | \(0.815761\pi\) | |||||||
\(278\) | 15.4110 | − | 8.89757i | 0.924293 | − | 0.533641i | ||||
\(279\) | −1.70782 | − | 9.68554i | −0.102245 | − | 0.579858i | ||||
\(280\) | −13.3570 | + | 4.42423i | −0.798232 | + | 0.264399i | ||||
\(281\) | 21.0532 | − | 17.6657i | 1.25593 | − | 1.05385i | 0.259826 | − | 0.965655i | \(-0.416335\pi\) |
0.996103 | − | 0.0881948i | \(-0.0281098\pi\) | |||||||
\(282\) | 12.2805 | + | 2.16538i | 0.731292 | + | 0.128947i | ||||
\(283\) | 6.95521 | + | 19.1093i | 0.413444 | + | 1.13593i | 0.955347 | + | 0.295488i | \(0.0954821\pi\) |
−0.541902 | + | 0.840442i | \(0.682296\pi\) | |||||||
\(284\) | −9.54240 | −0.566237 | ||||||||
\(285\) | 15.5811 | − | 15.9153i | 0.922944 | − | 0.942741i | ||||
\(286\) | −40.0896 | −2.37055 | ||||||||
\(287\) | 2.19715 | + | 6.03662i | 0.129694 | + | 0.356330i | ||||
\(288\) | 7.11111 | + | 1.25388i | 0.419026 | + | 0.0738856i | ||||
\(289\) | 5.54421 | − | 4.65214i | 0.326130 | − | 0.273656i | ||||
\(290\) | −3.71027 | − | 11.2015i | −0.217875 | − | 0.657775i | ||||
\(291\) | −0.0515625 | − | 0.292425i | −0.00302265 | − | 0.0171423i | ||||
\(292\) | 20.4267 | − | 11.7934i | 1.19538 | − | 0.690154i | ||||
\(293\) | 3.97210 | + | 2.29329i | 0.232053 | + | 0.133976i | 0.611519 | − | 0.791230i | \(-0.290559\pi\) |
−0.379466 | + | 0.925206i | \(0.623892\pi\) | |||||||
\(294\) | 21.9989 | + | 8.00696i | 1.28300 | + | 0.466975i | ||||
\(295\) | 21.5168 | − | 17.0091i | 1.25276 | − | 0.990308i | ||||
\(296\) | −3.92169 | + | 6.79257i | −0.227944 | + | 0.394810i | ||||
\(297\) | 4.20064 | − | 2.42524i | 0.243746 | − | 0.140727i | ||||
\(298\) | −8.60617 | + | 1.51750i | −0.498542 | + | 0.0879064i | ||||
\(299\) | −34.6628 | − | 29.0856i | −2.00460 | − | 1.68206i | ||||
\(300\) | −16.3980 | + | 37.9897i | −0.946739 | + | 2.19333i | ||||
\(301\) | 0.134396 | − | 0.762200i | 0.00774648 | − | 0.0439325i | ||||
\(302\) | 3.64144 | + | 10.0048i | 0.209541 | + | 0.575710i | ||||
\(303\) | 8.53597i | 0.490379i | ||||||||
\(304\) | −3.74061 | − | 7.25303i | −0.214538 | − | 0.415990i | ||||
\(305\) | −5.62489 | + | 9.11687i | −0.322080 | + | 0.522031i | ||||
\(306\) | −15.4664 | + | 5.62931i | −0.884156 | + | 0.321806i | ||||
\(307\) | −23.9533 | − | 4.22361i | −1.36709 | − | 0.241054i | −0.558536 | − | 0.829480i | \(-0.688637\pi\) |
−0.808551 | + | 0.588426i | \(0.799748\pi\) | |||||||
\(308\) | 10.3921 | + | 12.3849i | 0.592146 | + | 0.705692i | ||||
\(309\) | 11.5525 | + | 9.69369i | 0.657198 | + | 0.551455i | ||||
\(310\) | −8.66737 | + | 21.8094i | −0.492274 | + | 1.23869i | ||||
\(311\) | −11.0103 | − | 19.0703i | −0.624334 | − | 1.08138i | −0.988669 | − | 0.150111i | \(-0.952037\pi\) |
0.364335 | − | 0.931268i | \(-0.381296\pi\) | |||||||
\(312\) | −47.1654 | − | 27.2310i | −2.67022 | − | 1.54165i | ||||
\(313\) | 10.0833 | − | 27.7037i | 0.569943 | − | 1.56591i | −0.234649 | − | 0.972080i | \(-0.575394\pi\) |
0.804593 | − | 0.593827i | \(-0.202384\pi\) | |||||||
\(314\) | 45.1504 | + | 16.4334i | 2.54798 | + | 0.927390i | ||||
\(315\) | −7.15781 | + | 3.85834i | −0.403297 | + | 0.217393i | ||||
\(316\) | −7.46057 | − | 12.9221i | −0.419690 | − | 0.726924i | ||||
\(317\) | −7.92095 | + | 1.39668i | −0.444885 | + | 0.0784452i | −0.391603 | − | 0.920134i | \(-0.628079\pi\) |
−0.0532818 | + | 0.998580i | \(0.516968\pi\) | |||||||
\(318\) | −22.1627 | + | 26.4125i | −1.24282 | + | 1.48114i | ||||
\(319\) | −4.65035 | + | 3.90211i | −0.260370 | + | 0.218476i | ||||
\(320\) | −19.1243 | − | 17.0233i | −1.06908 | − | 0.951633i | ||||
\(321\) | 25.3281 | − | 9.21867i | 1.41368 | − | 0.514536i | ||||
\(322\) | 28.3256i | 1.57853i | ||||||||
\(323\) | −11.4585 | − | 7.36145i | −0.637568 | − | 0.409602i | ||||
\(324\) | 38.8552 | 2.15862 | ||||||||
\(325\) | −21.2766 | + | 22.5410i | −1.18021 | + | 1.25035i | ||||
\(326\) | 6.44702 | − | 36.5629i | 0.357068 | − | 2.02503i | ||||
\(327\) | −10.6316 | − | 12.6702i | −0.587928 | − | 0.700666i | ||||
\(328\) | 9.69901 | − | 11.5588i | 0.535538 | − | 0.638230i | ||||
\(329\) | −0.654167 | − | 3.70997i | −0.0360654 | − | 0.204537i | ||||
\(330\) | 33.0290 | + | 0.965027i | 1.81818 | + | 0.0531230i | ||||
\(331\) | −9.10916 | + | 15.7775i | −0.500685 | + | 0.867212i | 0.499315 | + | 0.866421i | \(0.333585\pi\) |
−1.00000 | 0.000790925i | \(0.999748\pi\) | ||||||||
\(332\) | −7.95686 | + | 21.8613i | −0.436689 | + | 1.19979i | ||||
\(333\) | −1.55028 | + | 4.25937i | −0.0849551 | + | 0.233412i | ||||
\(334\) | 7.16709 | − | 12.4138i | 0.392166 | − | 0.679251i | ||||
\(335\) | 0.0438168 | − | 1.49967i | 0.00239397 | − | 0.0819359i | ||||
\(336\) | 1.21597 | + | 6.89610i | 0.0663365 | + | 0.376213i | ||||
\(337\) | 6.17287 | − | 7.35654i | 0.336258 | − | 0.400736i | −0.571247 | − | 0.820778i | \(-0.693540\pi\) |
0.907505 | + | 0.420042i | \(0.137985\pi\) | |||||||
\(338\) | −38.7586 | − | 46.1907i | −2.10819 | − | 2.51244i | ||||
\(339\) | −5.27272 | + | 29.9031i | −0.286375 | + | 1.62411i | ||||
\(340\) | 24.7786 | + | 5.11948i | 1.34381 | + | 0.277643i | ||||
\(341\) | 12.0736 | 0.653823 | ||||||||
\(342\) | −13.9085 | − | 18.2697i | −0.752084 | − | 0.987912i | ||||
\(343\) | − | 18.5299i | − | 1.00052i | ||||||
\(344\) | −1.70826 | + | 0.621757i | −0.0921035 | + | 0.0335229i | ||||
\(345\) | 27.8578 | + | 24.7974i | 1.49982 | + | 1.33505i | ||||
\(346\) | 2.97940 | − | 2.50002i | 0.160174 | − | 0.134402i | ||||
\(347\) | 0.813944 | − | 0.970021i | 0.0436948 | − | 0.0520734i | −0.743754 | − | 0.668453i | \(-0.766957\pi\) |
0.787449 | + | 0.616379i | \(0.211401\pi\) | |||||||
\(348\) | −18.1392 | + | 3.19843i | −0.972363 | + | 0.171454i | ||||
\(349\) | 13.3074 | + | 23.0491i | 0.712330 | + | 1.23379i | 0.963980 | + | 0.265974i | \(0.0856934\pi\) |
−0.251650 | + | 0.967818i | \(0.580973\pi\) | |||||||
\(350\) | 19.3706 | + | 1.13289i | 1.03540 | + | 0.0605556i | ||||
\(351\) | 10.3599 | + | 3.77068i | 0.552969 | + | 0.201264i | ||||
\(352\) | −3.03181 | + | 8.32983i | −0.161596 | + | 0.443982i | ||||
\(353\) | 23.2738 | + | 13.4371i | 1.23874 | + | 0.715187i | 0.968837 | − | 0.247701i | \(-0.0796751\pi\) |
0.269903 | + | 0.962888i | \(0.413008\pi\) | |||||||
\(354\) | −33.2284 | − | 57.5533i | −1.76607 | − | 3.05892i | ||||
\(355\) | 5.47536 | + | 2.17598i | 0.290602 | + | 0.115489i | ||||
\(356\) | 48.0062 | + | 40.2820i | 2.54432 | + | 2.13494i | ||||
\(357\) | 7.51183 | + | 8.95225i | 0.397568 | + | 0.473803i | ||||
\(358\) | 33.1294 | + | 5.84160i | 1.75094 | + | 0.308738i | ||||
\(359\) | −19.7868 | + | 7.20180i | −1.04431 | + | 0.380097i | −0.806511 | − | 0.591219i | \(-0.798647\pi\) |
−0.237795 | + | 0.971315i | \(0.576425\pi\) | |||||||
\(360\) | 16.2547 | + | 10.0287i | 0.856697 | + | 0.528561i | ||||
\(361\) | 5.05739 | − | 18.3146i | 0.266178 | − | 0.963924i | ||||
\(362\) | 54.4039i | 2.85940i | ||||||||
\(363\) | 2.78302 | + | 7.64627i | 0.146070 | + | 0.401325i | ||||
\(364\) | −6.38103 | + | 36.1886i | −0.334457 | + | 1.89680i | ||||
\(365\) | −14.4100 | + | 2.10897i | −0.754252 | + | 0.110389i | ||||
\(366\) | 19.8835 | + | 16.6842i | 1.03933 | + | 0.872098i | ||||
\(367\) | −10.8503 | + | 1.91320i | −0.566381 | + | 0.0998682i | −0.449504 | − | 0.893278i | \(-0.648399\pi\) |
−0.116877 | + | 0.993146i | \(0.537288\pi\) | |||||||
\(368\) | 11.8346 | − | 6.83268i | 0.616919 | − | 0.356178i | ||||
\(369\) | 4.36000 | − | 7.55174i | 0.226972 | − | 0.393128i | ||||
\(370\) | 8.48519 | − | 6.70756i | 0.441124 | − | 0.348709i | ||||
\(371\) | 9.78803 | + | 3.56255i | 0.508169 | + | 0.184959i | ||||
\(372\) | 31.7251 | + | 18.3165i | 1.64487 | + | 0.949665i | ||||
\(373\) | 4.18558 | − | 2.41654i | 0.216721 | − | 0.125124i | −0.387710 | − | 0.921781i | \(-0.626734\pi\) |
0.604431 | + | 0.796657i | \(0.293401\pi\) | |||||||
\(374\) | −3.50864 | − | 19.8985i | −0.181427 | − | 1.02893i | ||||
\(375\) | 18.0720 | − | 18.0589i | 0.933232 | − | 0.932558i | ||||
\(376\) | −6.77836 | + | 5.68772i | −0.349567 | + | 0.293322i | ||||
\(377\) | −13.5884 | − | 2.39599i | −0.699836 | − | 0.123400i | ||||
\(378\) | −2.36042 | − | 6.48520i | −0.121407 | − | 0.333563i | ||||
\(379\) | −2.03721 | −0.104644 | −0.0523221 | − | 0.998630i | \(-0.516662\pi\) | ||||
−0.0523221 | + | 0.998630i | \(0.516662\pi\) | |||||||
\(380\) | 3.44934 | + | 35.1290i | 0.176948 | + | 1.80208i | ||||
\(381\) | −19.8661 | −1.01777 | ||||||||
\(382\) | −8.27940 | − | 22.7475i | −0.423611 | − | 1.16386i | ||||
\(383\) | −34.0551 | − | 6.00483i | −1.74013 | − | 0.306833i | −0.788721 | − | 0.614751i | \(-0.789257\pi\) |
−0.951413 | + | 0.307918i | \(0.900368\pi\) | |||||||
\(384\) | −36.1442 | + | 30.3286i | −1.84448 | + | 1.54770i | ||||
\(385\) | −3.13877 | − | 9.47609i | −0.159966 | − | 0.482946i | ||||
\(386\) | −4.87109 | − | 27.6253i | −0.247932 | − | 1.40609i | ||||
\(387\) | −0.909821 | + | 0.525286i | −0.0462488 | + | 0.0267018i | ||||
\(388\) | 0.407543 | + | 0.235295i | 0.0206899 | + | 0.0119453i | ||||
\(389\) | −4.25700 | − | 1.54942i | −0.215839 | − | 0.0785588i | 0.231838 | − | 0.972754i | \(-0.425526\pi\) |
−0.447676 | + | 0.894196i | \(0.647748\pi\) | |||||||
\(390\) | 46.5751 | + | 58.9185i | 2.35842 | + | 2.98345i | ||||
\(391\) | 11.4029 | − | 19.7505i | 0.576672 | − | 0.998825i | ||||
\(392\) | −14.3864 | + | 8.30601i | −0.726624 | + | 0.419517i | ||||
\(393\) | −23.7326 | + | 4.18469i | −1.19715 | + | 0.211090i | ||||
\(394\) | −4.95250 | − | 4.15564i | −0.249503 | − | 0.209358i | ||||
\(395\) | 1.33415 | + | 9.11585i | 0.0671286 | + | 0.458668i | ||||
\(396\) | 3.81079 | − | 21.6121i | 0.191500 | − | 1.08605i | ||||
\(397\) | −8.59660 | − | 23.6190i | −0.431451 | − | 1.18540i | −0.944922 | − | 0.327295i | \(-0.893863\pi\) |
0.513471 | − | 0.858107i | \(-0.328359\pi\) | |||||||
\(398\) | − | 10.6181i | − | 0.532237i | ||||||
\(399\) | −8.81208 | + | 13.7165i | −0.441156 | + | 0.686683i | ||||
\(400\) | −4.19923 | − | 8.36637i | −0.209961 | − | 0.418319i | ||||
\(401\) | −27.1680 | + | 9.88834i | −1.35671 | + | 0.493800i | −0.915034 | − | 0.403377i | \(-0.867836\pi\) |
−0.441671 | + | 0.897177i | \(0.645614\pi\) | |||||||
\(402\) | −3.57999 | − | 0.631249i | −0.178554 | − | 0.0314839i | ||||
\(403\) | 17.6396 | + | 21.0220i | 0.878690 | + | 1.04718i | ||||
\(404\) | −10.3630 | − | 8.69560i | −0.515579 | − | 0.432622i | ||||
\(405\) | −22.2948 | − | 8.86028i | −1.10784 | − | 0.440271i | ||||
\(406\) | 4.31872 | + | 7.48024i | 0.214334 | + | 0.371238i | ||||
\(407\) | −4.81898 | − | 2.78224i | −0.238868 | − | 0.137910i | ||||
\(408\) | 9.38819 | − | 25.7938i | 0.464785 | − | 1.27699i | ||||
\(409\) | −21.5769 | − | 7.85333i | −1.06691 | − | 0.388322i | −0.251888 | − | 0.967756i | \(-0.581051\pi\) |
−0.815019 | + | 0.579434i | \(0.803274\pi\) | |||||||
\(410\) | −18.3164 | + | 9.87328i | −0.904584 | + | 0.487607i | ||||
\(411\) | −0.453845 | − | 0.786083i | −0.0223865 | − | 0.0387746i | ||||
\(412\) | −23.5371 | + | 4.15022i | −1.15959 | + | 0.204467i | ||||
\(413\) | −12.9051 | + | 15.3797i | −0.635018 | + | 0.756785i | ||||
\(414\) | 29.4538 | − | 24.7147i | 1.44758 | − | 1.21466i | ||||
\(415\) | 9.55069 | − | 10.7294i | 0.468825 | − | 0.526687i | ||||
\(416\) | −18.9330 | + | 6.89106i | −0.928268 | + | 0.337862i | ||||
\(417\) | 17.1508i | 0.839877i | ||||||||
\(418\) | 25.0525 | − | 12.9203i | 1.22536 | − | 0.631953i | ||||
\(419\) | −8.98058 | −0.438730 | −0.219365 | − | 0.975643i | \(-0.570399\pi\) | ||||
−0.219365 | + | 0.975643i | \(0.570399\pi\) | |||||||
\(420\) | 6.12832 | − | 29.6614i | 0.299031 | − | 1.44733i | ||||
\(421\) | −5.91109 | + | 33.5235i | −0.288089 | + | 1.63383i | 0.405949 | + | 0.913896i | \(0.366941\pi\) |
−0.694038 | + | 0.719938i | \(0.744170\pi\) | |||||||
\(422\) | −11.1867 | − | 13.3318i | −0.544561 | − | 0.648983i | ||||
\(423\) | −3.28696 | + | 3.91724i | −0.159817 | + | 0.190463i | ||||
\(424\) | −4.24846 | − | 24.0942i | −0.206324 | − | 1.17012i | ||||
\(425\) | −13.0504 | − | 8.58787i | −0.633036 | − | 0.416573i | ||||
\(426\) | 7.13796 | − | 12.3633i | 0.345835 | − | 0.599005i | ||||
\(427\) | 2.68191 | − | 7.36848i | 0.129787 | − | 0.356586i | ||||
\(428\) | −14.6099 | + | 40.1404i | −0.706196 | + | 1.94026i | ||||
\(429\) | 19.3190 | − | 33.4615i | 0.932729 | − | 1.61553i | ||||
\(430\) | 2.50585 | + | 0.0732148i | 0.120843 | + | 0.00353073i | ||||
\(431\) | 6.59394 | + | 37.3961i | 0.317619 | + | 1.80131i | 0.557144 | + | 0.830416i | \(0.311897\pi\) |
−0.239525 | + | 0.970890i | \(0.576992\pi\) | |||||||
\(432\) | −2.14016 | + | 2.55055i | −0.102969 | + | 0.122713i | ||||
\(433\) | 23.7703 | + | 28.3283i | 1.14233 | + | 1.36137i | 0.922576 | + | 0.385814i | \(0.126079\pi\) |
0.219749 | + | 0.975556i | \(0.429476\pi\) | |||||||
\(434\) | 2.98305 | − | 16.9177i | 0.143191 | − | 0.812076i | ||||
\(435\) | 11.1375 | + | 2.30110i | 0.534001 | + | 0.110329i | ||||
\(436\) | 26.2126 | 1.25535 | ||||||||
\(437\) | 31.0351 | + | 7.00459i | 1.48461 | + | 0.335075i | ||||
\(438\) | 35.2869i | 1.68607i | ||||||||
\(439\) | 20.8452 | − | 7.58705i | 0.994889 | − | 0.362110i | 0.207277 | − | 0.978282i | \(-0.433540\pi\) |
0.787611 | + | 0.616172i | \(0.211318\pi\) | |||||||
\(440\) | −15.5896 | + | 17.5136i | −0.743203 | + | 0.834928i | ||||
\(441\) | −7.35415 | + | 6.17086i | −0.350198 | + | 0.293851i | ||||
\(442\) | 29.5202 | − | 35.1808i | 1.40413 | − | 1.67338i | ||||
\(443\) | −9.69917 | + | 1.71023i | −0.460822 | + | 0.0812553i | −0.399239 | − | 0.916847i | \(-0.630726\pi\) |
−0.0615822 | + | 0.998102i | \(0.519615\pi\) | |||||||
\(444\) | −8.44168 | − | 14.6214i | −0.400625 | − | 0.693902i | ||||
\(445\) | −18.3600 | − | 34.0605i | −0.870346 | − | 1.61462i | ||||
\(446\) | −36.9424 | − | 13.4459i | −1.74927 | − | 0.636683i | ||||
\(447\) | 2.88066 | − | 7.91456i | 0.136251 | − | 0.374346i | ||||
\(448\) | 16.2305 | + | 9.37067i | 0.766818 | + | 0.442723i | ||||
\(449\) | −18.6520 | − | 32.3061i | −0.880240 | − | 1.52462i | −0.851073 | − | 0.525047i | \(-0.824048\pi\) |
−0.0291671 | − | 0.999575i | \(-0.509285\pi\) | |||||||
\(450\) | −15.7232 | − | 21.1306i | −0.741199 | − | 0.996105i | ||||
\(451\) | 8.20040 | + | 6.88095i | 0.386142 | + | 0.324011i | ||||
\(452\) | −30.9322 | − | 36.8636i | −1.45493 | − | 1.73392i | ||||
\(453\) | −10.1054 | − | 1.78186i | −0.474795 | − | 0.0837192i | ||||
\(454\) | −26.2519 | + | 9.55490i | −1.23206 | + | 0.448434i | ||||
\(455\) | 11.9136 | − | 19.3097i | 0.558518 | − | 0.905251i | ||||
\(456\) | 38.2504 | + | 1.81622i | 1.79124 | + | 0.0850521i | ||||
\(457\) | 14.0343i | 0.656498i | 0.944591 | + | 0.328249i | \(0.106458\pi\) | ||||
−0.944591 | + | 0.328249i | \(0.893542\pi\) | |||||||
\(458\) | −6.34407 | − | 17.4302i | −0.296439 | − | 0.814460i | ||||
\(459\) | −0.964885 | + | 5.47214i | −0.0450370 | + | 0.255417i | ||||
\(460\) | −58.4838 | + | 8.55942i | −2.72682 | + | 0.399085i | ||||
\(461\) | −7.76457 | − | 6.51525i | −0.361632 | − | 0.303445i | 0.443809 | − | 0.896122i | \(-0.353627\pi\) |
−0.805441 | + | 0.592676i | \(0.798071\pi\) | |||||||
\(462\) | −23.8196 | + | 4.20004i | −1.10819 | + | 0.195404i | ||||
\(463\) | 0.625383 | − | 0.361065i | 0.0290640 | − | 0.0167801i | −0.485398 | − | 0.874294i | \(-0.661325\pi\) |
0.514462 | + | 0.857513i | \(0.327992\pi\) | |||||||
\(464\) | 2.08351 | − | 3.60875i | 0.0967247 | − | 0.167532i | ||||
\(465\) | −14.0268 | − | 17.7442i | −0.650479 | − | 0.822869i | ||||
\(466\) | −14.9715 | − | 5.44917i | −0.693540 | − | 0.252428i | ||||
\(467\) | 30.3258 | + | 17.5086i | 1.40331 | + | 0.810201i | 0.994731 | − | 0.102522i | \(-0.0326911\pi\) |
0.408579 | + | 0.912723i | \(0.366024\pi\) | |||||||
\(468\) | 43.1976 | − | 24.9401i | 1.99681 | − | 1.15286i | ||||
\(469\) | 0.190702 | + | 1.08152i | 0.00880580 | + | 0.0499402i | ||||
\(470\) | 11.5834 | − | 3.83677i | 0.534302 | − | 0.176977i | ||||
\(471\) | −35.4742 | + | 29.7664i | −1.63456 | + | 1.37156i | ||||
\(472\) | 46.4406 | + | 8.18872i | 2.13760 | + | 0.376917i | ||||
\(473\) | −0.441105 | − | 1.21193i | −0.0202820 | − | 0.0557244i | ||||
\(474\) | 22.3228 | 1.02532 | ||||||||
\(475\) | 6.03137 | − | 20.9433i | 0.276738 | − | 0.960945i | ||||
\(476\) | −18.5207 | −0.848895 | ||||||||
\(477\) | −4.83581 | − | 13.2863i | −0.221417 | − | 0.608337i | ||||
\(478\) | 37.2997 | + | 6.57695i | 1.70605 | + | 0.300823i | ||||
\(479\) | 20.6527 | − | 17.3296i | 0.943645 | − | 0.791812i | −0.0345713 | − | 0.999402i | \(-0.511007\pi\) |
0.978216 | + | 0.207590i | \(0.0665621\pi\) | |||||||
\(480\) | 15.7644 | − | 5.22164i | 0.719543 | − | 0.238334i | ||||
\(481\) | −2.19623 | − | 12.4555i | −0.100140 | − | 0.567920i | ||||
\(482\) | 21.4683 | − | 12.3947i | 0.977855 | − | 0.564565i | ||||
\(483\) | −23.6425 | − | 13.6500i | −1.07577 | − | 0.621096i | ||||
\(484\) | −12.1179 | − | 4.41057i | −0.550816 | − | 0.200480i | ||||
\(485\) | −0.180190 | − | 0.227944i | −0.00818201 | − | 0.0103504i | ||||
\(486\) | −22.7400 | + | 39.3868i | −1.03151 | + | 1.78662i | ||||
\(487\) | 2.65660 | − | 1.53379i | 0.120382 | − | 0.0695026i | −0.438600 | − | 0.898682i | \(-0.644525\pi\) |
0.558982 | + | 0.829180i | \(0.311192\pi\) | |||||||
\(488\) | −18.1383 | + | 3.19827i | −0.821081 | + | 0.144779i | ||||
\(489\) | 27.4110 | + | 23.0006i | 1.23957 | + | 1.04012i | ||||
\(490\) | 22.6668 | − | 3.31741i | 1.02398 | − | 0.149865i | ||||
\(491\) | 0.216866 | − | 1.22991i | 0.00978703 | − | 0.0555050i | −0.979523 | − | 0.201332i | \(-0.935473\pi\) |
0.989310 | + | 0.145827i | \(0.0465842\pi\) | |||||||
\(492\) | 11.1088 | + | 30.5212i | 0.500823 | + | 1.37600i | ||||
\(493\) | − | 6.95428i | − | 0.313205i | ||||||
\(494\) | 59.0980 | + | 24.7436i | 2.65895 | + | 1.11327i | ||||
\(495\) | −7.11488 | + | 11.5319i | −0.319790 | + | 0.518319i | ||||
\(496\) | −7.78785 | + | 2.83455i | −0.349685 | + | 0.127275i | ||||
\(497\) | −4.24727 | − | 0.748908i | −0.190516 | − | 0.0335931i | ||||
\(498\) | −22.3720 | − | 26.6619i | −1.00251 | − | 1.19475i | ||||
\(499\) | −14.9931 | − | 12.5807i | −0.671181 | − | 0.563188i | 0.242233 | − | 0.970218i | \(-0.422120\pi\) |
−0.913415 | + | 0.407030i | \(0.866564\pi\) | |||||||
\(500\) | 3.51431 | + | 40.3367i | 0.157165 | + | 1.80391i | ||||
\(501\) | 6.90757 | + | 11.9643i | 0.308607 | + | 0.534524i | ||||
\(502\) | 24.3650 | + | 14.0671i | 1.08746 | + | 0.627846i | ||||
\(503\) | 1.75066 | − | 4.80990i | 0.0780581 | − | 0.214463i | −0.894525 | − | 0.447017i | \(-0.852486\pi\) |
0.972583 | + | 0.232555i | \(0.0747084\pi\) | |||||||
\(504\) | −13.1374 | − | 4.78164i | −0.585188 | − | 0.212991i | ||||
\(505\) | 3.96333 | + | 7.35258i | 0.176366 | + | 0.327186i | ||||
\(506\) | 23.6006 | + | 40.8774i | 1.04917 | + | 1.81722i | ||||
\(507\) | 57.2315 | − | 10.0915i | 2.54174 | − | 0.448177i | ||||
\(508\) | 20.2376 | − | 24.1182i | 0.897898 | − | 1.07007i | ||||
\(509\) | 12.1303 | − | 10.1785i | 0.537664 | − | 0.451154i | −0.333074 | − | 0.942901i | \(-0.608086\pi\) |
0.870738 | + | 0.491747i | \(0.163641\pi\) | |||||||
\(510\) | −25.1679 | + | 28.2741i | −1.11446 | + | 1.25200i | ||||
\(511\) | 10.0174 | − | 3.64603i | 0.443143 | − | 0.161291i | ||||
\(512\) | − | 20.4803i | − | 0.905108i | ||||||
\(513\) | −7.68925 | + | 0.982494i | −0.339489 | + | 0.0433782i | ||||
\(514\) | 9.04830 | 0.399103 | ||||||||
\(515\) | 14.4518 | + | 2.98587i | 0.636822 | + | 0.131573i | ||||
\(516\) | 0.679509 | − | 3.85368i | 0.0299137 | − | 0.169649i | ||||
\(517\) | −4.03514 | − | 4.80890i | −0.177465 | − | 0.211495i | ||||
\(518\) | −5.08914 | + | 6.06501i | −0.223604 | + | 0.266481i | ||||
\(519\) | 0.650921 | + | 3.69156i | 0.0285723 | + | 0.162041i | ||||
\(520\) | −53.2702 | − | 1.55643i | −2.33605 | − | 0.0682539i | ||||
\(521\) | 14.9866 | − | 25.9576i | 0.656575 | − | 1.13722i | −0.324921 | − | 0.945741i | \(-0.605338\pi\) |
0.981496 | − | 0.191481i | \(-0.0613289\pi\) | |||||||
\(522\) | 4.01000 | − | 11.0174i | 0.175513 | − | 0.482218i | ||||
\(523\) | −10.3894 | + | 28.5446i | −0.454296 | + | 1.24817i | 0.475377 | + | 0.879782i | \(0.342312\pi\) |
−0.929673 | + | 0.368386i | \(0.879910\pi\) | |||||||
\(524\) | 19.0960 | − | 33.0752i | 0.834213 | − | 1.44490i | ||||
\(525\) | −10.2802 | + | 15.6220i | −0.448663 | + | 0.681802i | ||||
\(526\) | −0.872659 | − | 4.94909i | −0.0380497 | − | 0.215791i | ||||
\(527\) | −8.89048 | + | 10.5953i | −0.387275 | + | 0.461537i | ||||
\(528\) | 7.50054 | + | 8.93880i | 0.326419 | + | 0.389011i | ||||
\(529\) | −5.25736 | + | 29.8160i | −0.228581 | + | 1.29635i | ||||
\(530\) | −6.82660 | + | 33.0411i | −0.296528 | + | 1.43522i | ||||
\(531\) | 27.2522 | 1.18265 | ||||||||
\(532\) | −7.67550 | − | 24.6712i | −0.332775 | − | 1.06963i | ||||
\(533\) | 24.3313i | 1.05390i | ||||||||
\(534\) | −88.0999 | + | 32.0658i | −3.81246 | + | 1.38762i | ||||
\(535\) | 17.5364 | − | 19.7007i | 0.758164 | − | 0.851736i | ||||
\(536\) | 1.97602 | − | 1.65808i | 0.0853510 | − | 0.0716180i | ||||
\(537\) | −20.8407 | + | 24.8369i | −0.899341 | + | 1.07179i | ||||
\(538\) | −9.17230 | + | 1.61732i | −0.395446 | + | 0.0697278i | ||||
\(539\) | −5.89268 | − | 10.2064i | −0.253816 | − | 0.439622i | ||||
\(540\) | 12.6767 | − | 6.83325i | 0.545519 | − | 0.294056i | ||||
\(541\) | 22.4204 | + | 8.16035i | 0.963927 | + | 0.350841i | 0.775571 | − | 0.631260i | \(-0.217462\pi\) |
0.188356 | + | 0.982101i | \(0.439684\pi\) | |||||||
\(542\) | 15.3554 | − | 42.1887i | 0.659573 | − | 1.81216i | ||||
\(543\) | −45.4091 | − | 26.2170i | −1.94869 | − | 1.12508i | ||||
\(544\) | −5.07740 | − | 8.79431i | −0.217692 | − | 0.377053i | ||||
\(545\) | −15.0406 | − | 5.97734i | −0.644268 | − | 0.256041i | ||||
\(546\) | −42.1135 | − | 35.3374i | −1.80229 | − | 1.51230i | ||||
\(547\) | −8.83204 | − | 10.5256i | −0.377631 | − | 0.450043i | 0.543434 | − | 0.839452i | \(-0.317124\pi\) |
−0.921065 | + | 0.389409i | \(0.872679\pi\) | |||||||
\(548\) | 1.41667 | + | 0.249797i | 0.0605171 | + | 0.0106708i | ||||
\(549\) | −10.0020 | + | 3.64043i | −0.426874 | + | 0.155370i | ||||
\(550\) | 28.8980 | − | 14.5044i | 1.23222 | − | 0.618471i | ||||
\(551\) | 9.26373 | − | 2.88205i | 0.394648 | − | 0.122779i | ||||
\(552\) | 64.1230i | 2.72926i | ||||||||
\(553\) | −2.30650 | − | 6.33707i | −0.0980826 | − | 0.269480i | ||||
\(554\) | −6.18699 | + | 35.0882i | −0.262860 | + | 1.49075i | ||||
\(555\) | 1.50960 | + | 10.3146i | 0.0640791 | + | 0.437832i | ||||
\(556\) | −20.8217 | − | 17.4715i | −0.883038 | − | 0.740957i | ||||
\(557\) | 26.6208 | − | 4.69396i | 1.12796 | − | 0.198889i | 0.421626 | − | 0.906770i | \(-0.361460\pi\) |
0.706332 | + | 0.707881i | \(0.250349\pi\) | |||||||
\(558\) | −20.1943 | + | 11.6592i | −0.854893 | + | 0.493573i | ||||
\(559\) | 1.46570 | − | 2.53866i | 0.0619923 | − | 0.107374i | ||||
\(560\) | 4.24932 | + | 5.37547i | 0.179567 | + | 0.227155i | ||||
\(561\) | 18.2994 | + | 6.66044i | 0.772601 | + | 0.281204i | ||||
\(562\) | −56.4314 | − | 32.5807i | −2.38042 | − | 1.37433i | ||||
\(563\) | −33.0543 | + | 19.0839i | −1.39307 | + | 0.804290i | −0.993654 | − | 0.112479i | \(-0.964121\pi\) |
−0.399417 | + | 0.916769i | \(0.630787\pi\) | |||||||
\(564\) | −3.30747 | − | 18.7576i | −0.139270 | − | 0.789838i | ||||
\(565\) | 9.34256 | + | 28.2056i | 0.393044 | + | 1.18662i | ||||
\(566\) | 36.9350 | − | 30.9922i | 1.55250 | − | 1.30270i | ||||
\(567\) | 17.2942 | + | 3.04944i | 0.726290 | + | 0.128065i | ||||
\(568\) | 3.46467 | + | 9.51911i | 0.145374 | + | 0.399413i | ||||
\(569\) | −2.28061 | −0.0956082 | −0.0478041 | − | 0.998857i | \(-0.515222\pi\) | ||||
−0.0478041 | + | 0.998857i | \(0.515222\pi\) | |||||||
\(570\) | −48.0940 | − | 21.8084i | −2.01444 | − | 0.913452i | ||||
\(571\) | −14.4656 | −0.605367 | −0.302683 | − | 0.953091i | \(-0.597883\pi\) | ||||
−0.302683 | + | 0.953091i | \(0.597883\pi\) | |||||||
\(572\) | 20.9433 | + | 57.5412i | 0.875683 | + | 2.40592i | ||||
\(573\) | 22.9764 | + | 4.05135i | 0.959851 | + | 0.169248i | ||||
\(574\) | 11.6678 | − | 9.79042i | 0.487003 | − | 0.408644i | ||||
\(575\) | 35.5094 | + | 8.42492i | 1.48085 | + | 0.351344i | ||||
\(576\) | −4.41753 | − | 25.0530i | −0.184064 | − | 1.04388i | ||||
\(577\) | 7.08262 | − | 4.08915i | 0.294853 | − | 0.170234i | −0.345275 | − | 0.938501i | \(-0.612214\pi\) |
0.640128 | + | 0.768268i | \(0.278881\pi\) | |||||||
\(578\) | −14.8608 | − | 8.57989i | −0.618128 | − | 0.356876i | ||||
\(579\) | 25.4053 | + | 9.24678i | 1.05581 | + | 0.384283i | ||||
\(580\) | −14.1394 | + | 11.1772i | −0.587106 | + | 0.464109i | ||||
\(581\) | −5.25728 | + | 9.10587i | −0.218109 | + | 0.377775i | ||||
\(582\) | −0.609705 | + | 0.352014i | −0.0252731 | + | 0.0145914i | ||||
\(583\) | 17.0936 | − | 3.01407i | 0.707945 | − | 0.124830i | ||||
\(584\) | −19.1811 | − | 16.0949i | −0.793721 | − | 0.666011i | ||||
\(585\) | −30.4736 | + | 4.45998i | −1.25993 | + | 0.184397i | ||||
\(586\) | 1.88836 | − | 10.7094i | 0.0780076 | − | 0.442403i | ||||
\(587\) | −11.7776 | − | 32.3587i | −0.486114 | − | 1.33559i | −0.904172 | − | 0.427168i | \(-0.859511\pi\) |
0.418058 | − | 0.908420i | \(-0.362711\pi\) | |||||||
\(588\) | − | 35.7584i | − | 1.47465i | ||||||
\(589\) | −17.7983 | − | 7.45194i | −0.733366 | − | 0.307052i | ||||
\(590\) | −55.3443 | − | 34.1461i | −2.27849 | − | 1.40577i | ||||
\(591\) | 5.85516 | − | 2.13110i | 0.240849 | − | 0.0876619i | ||||
\(592\) | 3.76158 | + | 0.663268i | 0.154600 | + | 0.0272602i | ||||
\(593\) | 1.70415 | + | 2.03093i | 0.0699812 | + | 0.0834003i | 0.799899 | − | 0.600134i | \(-0.204886\pi\) |
−0.729918 | + | 0.683535i | \(0.760442\pi\) | |||||||
\(594\) | −8.80977 | − | 7.39228i | −0.361469 | − | 0.303309i | ||||
\(595\) | 10.6270 | + | 4.22333i | 0.435666 | + | 0.173140i | ||||
\(596\) | 6.67406 | + | 11.5598i | 0.273380 | + | 0.473508i | ||||
\(597\) | 8.86258 | + | 5.11681i | 0.362721 | + | 0.209417i | ||||
\(598\) | −36.6934 | + | 100.814i | −1.50050 | + | 4.12260i | ||||
\(599\) | −2.30660 | − | 0.839535i | −0.0942453 | − | 0.0343025i | 0.294467 | − | 0.955662i | \(-0.404858\pi\) |
−0.388712 | + | 0.921359i | \(0.627080\pi\) | |||||||
\(600\) | 43.8508 | + | 2.56462i | 1.79020 | + | 0.104700i | ||||
\(601\) | −7.48153 | − | 12.9584i | −0.305178 | − | 0.528584i | 0.672123 | − | 0.740440i | \(-0.265383\pi\) |
−0.977301 | + | 0.211856i | \(0.932049\pi\) | |||||||
\(602\) | −1.80715 | + | 0.318649i | −0.0736540 | + | 0.0129872i | ||||
\(603\) | 0.958210 | − | 1.14195i | 0.0390213 | − | 0.0465038i | ||||
\(604\) | 12.4577 | − | 10.4532i | 0.506896 | − | 0.425336i | ||||
\(605\) | 5.94743 | + | 5.29405i | 0.241797 | + | 0.215234i | ||||
\(606\) | 19.0180 | − | 6.92198i | 0.772553 | − | 0.281186i | ||||
\(607\) | 43.0431i | 1.74706i | 0.486767 | + | 0.873532i | \(0.338176\pi\) | ||||
−0.486767 | + | 0.873532i | \(0.661824\pi\) | |||||||
\(608\) | 9.61059 | − | 10.4082i | 0.389761 | − | 0.422106i | ||||
\(609\) | −8.32467 | −0.337333 | ||||||||
\(610\) | 24.8736 | + | 5.13910i | 1.00710 | + | 0.208076i | ||||
\(611\) | 2.47768 | − | 14.0516i | 0.100236 | − | 0.568468i | ||||
\(612\) | 16.1597 | + | 19.2584i | 0.653217 | + | 0.778473i | ||||
\(613\) | 25.1922 | − | 30.0229i | 1.01750 | − | 1.21261i | 0.0405478 | − | 0.999178i | \(-0.487090\pi\) |
0.976957 | − | 0.213437i | \(-0.0684659\pi\) | |||||||
\(614\) | 10.0141 | + | 56.7925i | 0.404134 | + | 2.29196i | ||||
\(615\) | 0.585696 | − | 20.0460i | 0.0236176 | − | 0.808333i | ||||
\(616\) | 8.58143 | − | 14.8635i | 0.345756 | − | 0.598866i | ||||
\(617\) | −9.54332 | + | 26.2201i | −0.384200 | + | 1.05558i | 0.585370 | + | 0.810766i | \(0.300949\pi\) |
−0.969570 | + | 0.244814i | \(0.921273\pi\) | |||||||
\(618\) | 12.2292 | − | 33.5995i | 0.491932 | − | 1.35157i | ||||
\(619\) | −12.4298 | + | 21.5291i | −0.499597 | + | 0.865327i | −1.00000 | 0.000465813i | \(-0.999852\pi\) | |
0.500403 | + | 0.865792i | \(0.333185\pi\) | |||||||
\(620\) | 35.8313 | + | 1.04691i | 1.43902 | + | 0.0420448i | ||||
\(621\) | −2.25403 | − | 12.7832i | −0.0904511 | − | 0.512974i | ||||
\(622\) | −33.5599 | + | 39.9951i | −1.34563 | + | 1.60366i | ||||
\(623\) | 18.2059 | + | 21.6969i | 0.729403 | + | 0.869268i | ||||
\(624\) | −4.60552 | + | 26.1192i | −0.184368 | + | 1.04561i | ||||
\(625\) | 7.18162 | − | 23.9463i | 0.287265 | − | 0.957851i | ||||
\(626\) | −69.9001 | −2.79377 | ||||||||
\(627\) | −1.28851 | + | 27.1367i | −0.0514582 | + | 1.08374i | ||||
\(628\) | − | 73.3901i | − | 2.92858i | ||||||
\(629\) | 5.99005 | − | 2.18020i | 0.238839 | − | 0.0869303i | ||||
\(630\) | 14.4007 | + | 12.8187i | 0.573738 | + | 0.510708i | ||||
\(631\) | 33.9105 | − | 28.4543i | 1.34995 | − | 1.13275i | 0.371007 | − | 0.928630i | \(-0.379012\pi\) |
0.978947 | − | 0.204116i | \(-0.0654320\pi\) | |||||||
\(632\) | −10.1817 | + | 12.1341i | −0.405008 | + | 0.482670i | ||||
\(633\) | 16.5184 | − | 2.91265i | 0.656549 | − | 0.115767i | ||||
\(634\) | 9.53501 | + | 16.5151i | 0.378684 | + | 0.655900i | ||||
\(635\) | −17.1119 | + | 9.22402i | −0.679067 | + | 0.366044i | ||||
\(636\) | 49.4883 | + | 18.0123i | 1.96234 | + | 0.714233i | ||||
\(637\) | 9.16175 | − | 25.1717i | 0.363002 | − | 0.997339i | ||||
\(638\) | 12.4649 | + | 7.19661i | 0.493490 | + | 0.284916i | ||||
\(639\) | 2.92709 | + | 5.06988i | 0.115794 | + | 0.200561i | ||||
\(640\) | −17.0515 | + | 42.9061i | −0.674019 | + | 1.69601i | ||||
\(641\) | 15.5815 | + | 13.0744i | 0.615432 | + | 0.516409i | 0.896364 | − | 0.443319i | \(-0.146199\pi\) |
−0.280932 | + | 0.959728i | \(0.590644\pi\) | |||||||
\(642\) | −41.0780 | − | 48.9549i | −1.62122 | − | 1.93210i | ||||
\(643\) | −29.9093 | − | 5.27382i | −1.17951 | − | 0.207979i | −0.450686 | − | 0.892682i | \(-0.648821\pi\) |
−0.728822 | + | 0.684703i | \(0.759932\pi\) | |||||||
\(644\) | 40.6562 | − | 14.7977i | 1.60208 | − | 0.583109i | ||||
\(645\) | −1.26867 | + | 2.05627i | −0.0499536 | + | 0.0809654i | ||||
\(646\) | −7.10926 | + | 31.4989i | −0.279710 | + | 1.23931i | ||||
\(647\) | − | 48.5913i | − | 1.91032i | −0.296087 | − | 0.955161i | \(-0.595682\pi\) | ||
0.296087 | − | 0.955161i | \(-0.404318\pi\) | |||||||
\(648\) | −14.1076 | − | 38.7604i | −0.554200 | − | 1.52265i | ||||
\(649\) | −5.80948 | + | 32.9472i | −0.228042 | + | 1.29329i | ||||
\(650\) | 67.4746 | + | 29.1250i | 2.64657 | + | 1.14238i | ||||
\(651\) | 12.6831 | + | 10.6424i | 0.497091 | + | 0.417109i | ||||
\(652\) | −55.8473 | + | 9.84739i | −2.18715 | + | 0.385653i | ||||
\(653\) | 17.2820 | − | 9.97774i | 0.676295 | − | 0.390459i | −0.122163 | − | 0.992510i | \(-0.538983\pi\) |
0.798458 | + | 0.602051i | \(0.205650\pi\) | |||||||
\(654\) | −19.6077 | + | 33.9615i | −0.766721 | + | 1.32800i | ||||
\(655\) | −18.4994 | + | 14.6238i | −0.722831 | + | 0.571399i | ||||
\(656\) | −6.90496 | − | 2.51320i | −0.269594 | − | 0.0981240i | ||||
\(657\) | −12.5316 | − | 7.23513i | −0.488905 | − | 0.282269i | ||||
\(658\) | −7.73526 | + | 4.46595i | −0.301552 | + | 0.174101i | ||||
\(659\) | 2.95696 | + | 16.7698i | 0.115187 | + | 0.653257i | 0.986658 | + | 0.162810i | \(0.0520556\pi\) |
−0.871471 | + | 0.490448i | \(0.836833\pi\) | |||||||
\(660\) | −15.8696 | − | 47.9111i | −0.617724 | − | 1.86494i | ||||
\(661\) | −21.0919 | + | 17.6982i | −0.820379 | + | 0.688380i | −0.953061 | − | 0.302779i | \(-0.902086\pi\) |
0.132682 | + | 0.991159i | \(0.457641\pi\) | |||||||
\(662\) | 42.5388 | + | 7.50074i | 1.65332 | + | 0.291525i | ||||
\(663\) | 15.1386 | + | 41.5930i | 0.587935 | + | 1.61534i | ||||
\(664\) | 24.6969 | 0.958427 | ||||||||
\(665\) | −1.22172 | + | 15.9064i | −0.0473761 | + | 0.616825i | ||||
\(666\) | 10.7470 | 0.416436 | ||||||||
\(667\) | 5.55633 | + | 15.2659i | 0.215142 | + | 0.591098i | ||||
\(668\) | −21.5618 | − | 3.80193i | −0.834253 | − | 0.147101i | ||||
\(669\) | 29.0252 | − | 24.3551i | 1.12218 | − | 0.941621i | ||||
\(670\) | −3.37677 | + | 1.11849i | −0.130456 | + | 0.0432110i | ||||
\(671\) | −2.26901 | − | 12.8682i | −0.0875940 | − | 0.496770i | ||||
\(672\) | −10.5273 | + | 6.07793i | −0.406099 | + | 0.234461i | ||||
\(673\) | −32.2647 | − | 18.6280i | −1.24371 | − | 0.718057i | −0.273864 | − | 0.961768i | \(-0.588302\pi\) |
−0.969848 | + | 0.243711i | \(0.921635\pi\) | |||||||
\(674\) | −21.3959 | − | 7.78748i | −0.824140 | − | 0.299962i | ||||
\(675\) | −8.83201 | + | 1.03016i | −0.339944 | + | 0.0396508i | ||||
\(676\) | −46.0503 | + | 79.7615i | −1.77117 | + | 3.06775i | ||||
\(677\) | 19.7350 | − | 11.3940i | 0.758478 | − | 0.437907i | −0.0702711 | − | 0.997528i | \(-0.522386\pi\) |
0.828749 | + | 0.559621i | \(0.189053\pi\) | |||||||
\(678\) | 70.8993 | − | 12.5015i | 2.72287 | − | 0.480116i | ||||
\(679\) | 0.162929 | + | 0.136713i | 0.00625263 | + | 0.00524658i | ||||
\(680\) | −3.88968 | − | 26.5769i | −0.149162 | − | 1.01918i | ||||
\(681\) | 4.67549 | − | 26.5160i | 0.179165 | − | 1.01610i | ||||
\(682\) | −9.79072 | − | 26.8998i | −0.374906 | − | 1.03005i | ||||
\(683\) | 4.61408i | 0.176553i | 0.996096 | + | 0.0882764i | \(0.0281359\pi\) | ||||
−0.996096 | + | 0.0882764i | \(0.971864\pi\) | |||||||
\(684\) | −18.9568 | + | 29.5074i | −0.724833 | + | 1.12824i | ||||
\(685\) | −0.755912 | − | 0.466379i | −0.0288819 | − | 0.0178194i | ||||
\(686\) | −41.2842 | + | 15.0262i | −1.57624 | + | 0.573704i | ||||
\(687\) | 17.6056 | + | 3.10434i | 0.671695 | + | 0.118438i | ||||
\(688\) | 0.569052 | + | 0.678170i | 0.0216949 | + | 0.0258550i | ||||
\(689\) | 30.2218 | + | 25.3591i | 1.15136 | + | 0.966104i | ||||
\(690\) | 32.6577 | − | 82.1754i | 1.24326 | − | 3.12837i | ||||
\(691\) | −17.8800 | − | 30.9690i | −0.680186 | − | 1.17812i | −0.974924 | − | 0.222538i | \(-0.928566\pi\) |
0.294738 | − | 0.955578i | \(-0.404768\pi\) | |||||||
\(692\) | −5.14479 | − | 2.97035i | −0.195576 | − | 0.112916i | ||||
\(693\) | 3.39233 | − | 9.32034i | 0.128864 | − | 0.354050i | ||||
\(694\) | −2.82123 | − | 1.02684i | −0.107092 | − | 0.0389785i | ||||
\(695\) | 7.96327 | + | 14.7731i | 0.302064 | + | 0.560375i | ||||
\(696\) | 9.77663 | + | 16.9336i | 0.370582 | + | 0.641867i | ||||
\(697\) | −12.0768 | + | 2.12947i | −0.457442 | + | 0.0806594i | ||||
\(698\) | 40.5618 | − | 48.3397i | 1.53529 | − | 1.82968i | ||||
\(699\) | 11.7629 | − | 9.87026i | 0.444915 | − | 0.373328i | ||||
\(700\) | −8.49337 | − | 28.3947i | −0.321019 | − | 1.07322i | ||||
\(701\) | −30.8939 | + | 11.2444i | −1.16685 | + | 0.424697i | −0.851538 | − | 0.524293i | \(-0.824330\pi\) |
−0.315307 | + | 0.948990i | \(0.602108\pi\) | |||||||
\(702\) | − | 26.1393i | − | 0.986565i | ||||||
\(703\) | 5.38667 | + | 7.07575i | 0.203162 | + | 0.266867i | ||||
\(704\) | 31.2301 | 1.17703 | ||||||||
\(705\) | −2.37955 | + | 11.5172i | −0.0896192 | + | 0.433762i | ||||
\(706\) | 11.0645 | − | 62.7500i | 0.416419 | − | 2.36163i | ||||
\(707\) | −3.93007 | − | 4.68368i | −0.147806 | − | 0.176148i | ||||
\(708\) | −65.2482 | + | 77.7598i | −2.45218 | + | 2.92239i | ||||
\(709\) | −7.71396 | − | 43.7480i | −0.289704 | − | 1.64299i | −0.687983 | − | 0.725727i | \(-0.741504\pi\) |
0.398279 | − | 0.917264i | \(-0.369608\pi\) | |||||||
\(710\) | 0.407981 | − | 13.9635i | 0.0153113 | − | 0.524043i | ||||
\(711\) | −4.57700 | + | 7.92760i | −0.171651 | + | 0.297308i | ||||
\(712\) | 22.7535 | − | 62.5147i | 0.852723 | − | 2.34284i | ||||
\(713\) | 11.0508 | − | 30.3618i | 0.413855 | − | 1.13706i | ||||
\(714\) | 13.8540 | − | 23.9958i | 0.518471 | − | 0.898019i | ||||
\(715\) | 1.10421 | − | 37.7925i | 0.0412950 | − | 1.41336i | ||||
\(716\) | −8.92264 | − | 50.6028i | −0.333455 | − | 1.89112i | ||||
\(717\) | −23.4641 | + | 27.9635i | −0.876284 | + | 1.04431i | ||||
\(718\) | 32.0910 | + | 38.2445i | 1.19762 | + | 1.42727i | ||||
\(719\) | 3.48789 | − | 19.7808i | 0.130076 | − | 0.737699i | −0.848086 | − | 0.529858i | \(-0.822245\pi\) |
0.978163 | − | 0.207841i | \(-0.0666436\pi\) | |||||||
\(720\) | 1.88196 | − | 9.10878i | 0.0701363 | − | 0.339464i | ||||
\(721\) | −10.8019 | −0.402285 | ||||||||
\(722\) | −44.9056 | + | 3.58385i | −1.67121 | + | 0.133377i | ||||
\(723\) | 23.8919i | 0.888548i | ||||||||
\(724\) | 78.0868 | − | 28.4213i | 2.90207 | − | 1.05627i | ||||
\(725\) | 10.6619 | − | 3.18915i | 0.395971 | − | 0.118442i | ||||
\(726\) | 14.7790 | − | 12.4010i | 0.548498 | − | 0.460245i | ||||
\(727\) | 0.469102 | − | 0.559054i | 0.0173980 | − | 0.0207342i | −0.757275 | − | 0.653096i | \(-0.773470\pi\) |
0.774673 | + | 0.632362i | \(0.217914\pi\) | |||||||
\(728\) | 38.4171 | − | 6.77397i | 1.42383 | − | 0.251060i | ||||
\(729\) | −5.82299 | − | 10.0857i | −0.215666 | − | 0.373545i | ||||
\(730\) | 16.3841 | + | 30.3949i | 0.606401 | + | 1.12497i | ||||
\(731\) | 1.38834 | + | 0.505315i | 0.0513497 | + | 0.0186898i | ||||
\(732\) | 13.5597 | − | 37.2551i | 0.501183 | − | 1.37699i | ||||
\(733\) | −25.5432 | − | 14.7474i | −0.943461 | − | 0.544707i | −0.0524171 | − | 0.998625i | \(-0.516693\pi\) |
−0.891043 | + | 0.453918i | \(0.850026\pi\) | |||||||
\(734\) | 13.0613 | + | 22.6228i | 0.482101 | + | 0.835023i | ||||
\(735\) | −8.15410 | + | 20.5179i | −0.300768 | + | 0.756814i | ||||
\(736\) | 18.1723 | + | 15.2483i | 0.669838 | + | 0.562061i | ||||
\(737\) | 1.17632 | + | 1.40188i | 0.0433303 | + | 0.0516390i | ||||
\(738\) | −20.3607 | − | 3.59015i | −0.749489 | − | 0.132155i | ||||
\(739\) | −38.0572 | + | 13.8517i | −1.39996 | + | 0.509542i | −0.928165 | − | 0.372169i | \(-0.878614\pi\) |
−0.471790 | + | 0.881711i | \(0.656392\pi\) | |||||||
\(740\) | −14.0602 | − | 8.67482i | −0.516864 | − | 0.318893i | ||||
\(741\) | −49.1318 | + | 37.4033i | −1.80490 | + | 1.37405i | ||||
\(742\) | − | 24.6965i | − | 0.906637i | ||||||
\(743\) | −6.64673 | − | 18.2617i | −0.243845 | − | 0.669958i | −0.999881 | − | 0.0154284i | \(-0.995089\pi\) |
0.756036 | − | 0.654530i | \(-0.227133\pi\) | |||||||
\(744\) | 6.75297 | − | 38.2980i | 0.247576 | − | 1.40407i | ||||
\(745\) | −1.19350 | − | 8.15484i | −0.0437266 | − | 0.298770i | ||||
\(746\) | −8.77818 | − | 7.36576i | −0.321392 | − | 0.269680i | ||||
\(747\) | 14.0556 | − | 2.47839i | 0.514269 | − | 0.0906795i | ||||
\(748\) | −26.7277 | + | 15.4312i | −0.977260 | + | 0.564221i | ||||
\(749\) | −9.65309 | + | 16.7196i | −0.352716 | + | 0.610923i | ||||
\(750\) | −54.8898 | − | 25.6197i | −2.00429 | − | 0.935499i | ||||
\(751\) | −5.32221 | − | 1.93713i | −0.194210 | − | 0.0706868i | 0.243084 | − | 0.970005i | \(-0.421841\pi\) |
−0.437294 | + | 0.899318i | \(0.644063\pi\) | |||||||
\(752\) | 3.73178 | + | 2.15455i | 0.136084 | + | 0.0785682i | ||||
\(753\) | −23.4827 | + | 13.5578i | −0.855758 | + | 0.494072i | ||||
\(754\) | 5.68082 | + | 32.2176i | 0.206883 | + | 1.17329i | ||||
\(755\) | −9.53181 | + | 3.15722i | −0.346898 | + | 0.114903i | ||||
\(756\) | −8.07520 | + | 6.77590i | −0.293692 | + | 0.246437i | ||||
\(757\) | −12.3875 | − | 2.18425i | −0.450231 | − | 0.0793879i | −0.0560650 | − | 0.998427i | \(-0.517855\pi\) |
−0.394166 | + | 0.919039i | \(0.628967\pi\) | |||||||
\(758\) | 1.65201 | + | 4.53886i | 0.0600037 | + | 0.164859i | ||||
\(759\) | −45.4920 | −1.65126 | ||||||||
\(760\) | 33.7909 | − | 16.1956i | 1.22572 | − | 0.587477i | ||||
\(761\) | 50.0335 | 1.81371 | 0.906857 | − | 0.421439i | \(-0.138475\pi\) | ||||
0.906857 | + | 0.421439i | \(0.138475\pi\) | |||||||
\(762\) | 16.1098 | + | 44.2613i | 0.583596 | + | 1.60342i | ||||
\(763\) | 11.6671 | + | 2.05722i | 0.422377 | + | 0.0744764i | ||||
\(764\) | −28.3245 | + | 23.7671i | −1.02475 | + | 0.859864i | ||||
\(765\) | −4.88076 | − | 14.7353i | −0.176464 | − | 0.532754i | ||||
\(766\) | 14.2373 | + | 80.7436i | 0.514413 | + | 2.91738i | ||||
\(767\) | −65.8538 | + | 38.0207i | −2.37784 | + | 1.37285i | ||||
\(768\) | 51.5625 | + | 29.7696i | 1.86060 | + | 1.07422i | ||||
\(769\) | −29.8303 | − | 10.8573i | −1.07571 | − | 0.391525i | −0.257399 | − | 0.966305i | \(-0.582865\pi\) |
−0.818308 | + | 0.574780i | \(0.805088\pi\) | |||||||
\(770\) | −18.5673 | + | 14.6775i | −0.669118 | + | 0.528939i | ||||
\(771\) | −4.36033 | + | 7.55231i | −0.157033 | + | 0.271990i | ||||
\(772\) | −37.1064 | + | 21.4234i | −1.33549 | + | 0.771044i | ||||
\(773\) | −11.2636 | + | 1.98608i | −0.405124 | + | 0.0714342i | −0.372497 | − | 0.928033i | \(-0.621498\pi\) |
−0.0326266 | + | 0.999468i | \(0.510387\pi\) | |||||||
\(774\) | 1.90812 | + | 1.60110i | 0.0685859 | + | 0.0575504i | ||||
\(775\) | −20.3210 | − | 8.77145i | −0.729953 | − | 0.315080i | ||||
\(776\) | 0.0867493 | − | 0.491980i | 0.00311412 | − | 0.0176610i | ||||
\(777\) | −2.60983 | − | 7.17044i | −0.0936270 | − | 0.257238i | ||||
\(778\) | 10.7410i | 0.385083i | ||||||||
\(779\) | −7.84162 | − | 15.2049i | −0.280955 | − | 0.544772i | ||||
\(780\) | 60.2352 | − | 97.6298i | 2.15677 | − | 3.49571i | ||||
\(781\) | −6.75332 | + | 2.45801i | −0.241653 | + | 0.0879544i | ||||
\(782\) | −53.2506 | − | 9.38951i | −1.90424 | − | 0.335768i | ||||
\(783\) | −2.54426 | − | 3.03213i | −0.0909246 | − | 0.108360i | ||||
\(784\) | 6.19714 | + | 5.20002i | 0.221327 | + | 0.185715i | ||||
\(785\) | −16.7354 | + | 42.1107i | −0.597311 | + | 1.50299i | ||||
\(786\) | 28.5686 | + | 49.4823i | 1.01901 | + | 1.76497i | ||||
\(787\) | 5.75062 | + | 3.32012i | 0.204987 | + | 0.118350i | 0.598980 | − | 0.800764i | \(-0.295573\pi\) |
−0.393992 | + | 0.919114i | \(0.628906\pi\) | |||||||
\(788\) | −3.37741 | + | 9.27935i | −0.120315 | + | 0.330563i | ||||
\(789\) | 4.55138 | + | 1.65657i | 0.162033 | + | 0.0589753i | ||||
\(790\) | 19.2281 | − | 10.3647i | 0.684104 | − | 0.368759i | ||||
\(791\) | −10.8746 | − | 18.8354i | −0.386657 | − | 0.669710i | ||||
\(792\) | −22.9430 | + | 4.04546i | −0.815242 | + | 0.143749i | ||||
\(793\) | 19.0905 | − | 22.7511i | 0.677922 | − | 0.807916i | ||||
\(794\) | −45.6515 | + | 38.3061i | −1.62011 | + | 1.35943i | ||||
\(795\) | −24.2886 | − | 21.6203i | −0.861429 | − | 0.766793i | ||||
\(796\) | −15.2403 | + | 5.54703i | −0.540179 | + | 0.196609i | ||||
\(797\) | 0.186468i | 0.00660502i | 0.999995 | + | 0.00330251i | \(0.00105122\pi\) | ||||
−0.999995 | + | 0.00330251i | \(0.998949\pi\) | |||||||
\(798\) | 37.7060 | + | 8.51019i | 1.33478 | + | 0.301258i | ||||
\(799\) | 7.19137 | 0.254412 | ||||||||
\(800\) | 11.1544 | − | 11.8173i | 0.394369 | − | 0.417805i | ||||
\(801\) | 6.67609 | − | 37.8620i | 0.235888 | − | 1.33779i | ||||
\(802\) | 44.0621 | + | 52.5112i | 1.55589 | + | 1.85423i | ||||
\(803\) | 11.4185 | − | 13.6080i | 0.402950 | − | 0.480217i | ||||
\(804\) | 0.964190 | + | 5.46819i | 0.0340044 | + | 0.192848i | ||||
\(805\) | −26.7026 | − | 0.780186i | −0.941143 | − | 0.0274979i | ||||
\(806\) | 32.5324 | − | 56.3478i | 1.14591 | − | 1.98477i | ||||
\(807\) | 3.07016 | − | 8.43520i | 0.108075 | − | 0.296933i | ||||
\(808\) | −4.91176 | + | 13.4949i | −0.172795 | + | 0.474750i | ||||
\(809\) | 0.609985 | − | 1.05652i | 0.0214459 | − | 0.0371454i | −0.855103 | − | 0.518458i | \(-0.826506\pi\) |
0.876549 | + | 0.481312i | \(0.159840\pi\) | |||||||
\(810\) | −1.66124 | + | 56.8575i | −0.0583700 | + | 1.99777i | ||||
\(811\) | −3.31560 | − | 18.8037i | −0.116427 | − | 0.660288i | −0.986034 | − | 0.166544i | \(-0.946739\pi\) |
0.869608 | − | 0.493744i | \(-0.164372\pi\) | |||||||
\(812\) | 8.48035 | − | 10.1065i | 0.297602 | − | 0.354668i | ||||
\(813\) | 27.8138 | + | 33.1472i | 0.975473 | + | 1.16252i | ||||
\(814\) | −2.29098 | + | 12.9928i | −0.0802987 | + | 0.455396i | ||||
\(815\) | 34.2903 | + | 7.08469i | 1.20114 | + | 0.248166i | ||||
\(816\) | −13.3674 | −0.467951 | ||||||||
\(817\) | −0.0977570 | + | 2.05881i | −0.00342008 | + | 0.0720287i | ||||
\(818\) | 54.4413i | 1.90349i | ||||||||
\(819\) | 21.1844 | − | 7.71047i | 0.740241 | − | 0.269426i | ||||
\(820\) | 23.7400 | + | 21.1319i | 0.829037 | + | 0.737959i | ||||
\(821\) | −7.64305 | + | 6.41328i | −0.266744 | + | 0.223825i | −0.766343 | − | 0.642432i | \(-0.777925\pi\) |
0.499598 | + | 0.866257i | \(0.333481\pi\) | |||||||
\(822\) | −1.38335 | + | 1.64861i | −0.0482498 | + | 0.0575019i | ||||
\(823\) | 27.7792 | − | 4.89822i | 0.968322 | − | 0.170741i | 0.332948 | − | 0.942945i | \(-0.391957\pi\) |
0.635375 | + | 0.772204i | \(0.280846\pi\) | |||||||
\(824\) | 12.6860 | + | 21.9727i | 0.441937 | + | 0.765457i | ||||
\(825\) | −1.81946 | + | 31.1099i | −0.0633456 | + | 1.08311i | ||||
\(826\) | 44.7307 | + | 16.2806i | 1.55638 | + | 0.566476i | ||||
\(827\) | −3.02789 | + | 8.31907i | −0.105290 | + | 0.289283i | −0.981139 | − | 0.193303i | \(-0.938080\pi\) |
0.875849 | + | 0.482585i | \(0.160302\pi\) | |||||||
\(828\) | −50.8604 | − | 29.3643i | −1.76752 | − | 1.02048i | ||||
\(829\) | 22.8446 | + | 39.5680i | 0.793425 | + | 1.37425i | 0.923834 | + | 0.382793i | \(0.125038\pi\) |
−0.130409 | + | 0.991460i | \(0.541629\pi\) | |||||||
\(830\) | −31.6498 | − | 12.5781i | −1.09858 | − | 0.436591i | ||||
\(831\) | −26.3055 | − | 22.0729i | −0.912526 | − | 0.765701i | ||||
\(832\) | 45.6273 | + | 54.3765i | 1.58184 | + | 1.88517i | ||||
\(833\) | 13.2958 | + | 2.34441i | 0.460673 | + | 0.0812290i | ||||
\(834\) | 38.2116 | − | 13.9079i | 1.32316 | − | 0.481591i | ||||
\(835\) | 11.5051 | + | 7.09834i | 0.398149 | + | 0.245648i | ||||
\(836\) | −31.6325 | − | 29.2085i | −1.09403 | − | 1.01020i | ||||
\(837\) | 7.87227i | 0.272105i | ||||||||
\(838\) | 7.28252 | + | 20.0086i | 0.251570 | + | 0.691184i | ||||
\(839\) | −0.0317008 | + | 0.179784i | −0.00109443 | + | 0.00620684i | −0.985350 | − | 0.170544i | \(-0.945448\pi\) |
0.984256 | + | 0.176751i | \(0.0565586\pi\) | |||||||
\(840\) | −31.8141 | + | 4.65616i | −1.09769 | + | 0.160653i | ||||
\(841\) | −18.4204 | − | 15.4566i | −0.635187 | − | 0.532985i | ||||
\(842\) | 79.4831 | − | 14.0150i | 2.73917 | − | 0.482989i | ||||
\(843\) | 54.3880 | − | 31.4010i | 1.87322 | − | 1.08151i | ||||
\(844\) | −13.2913 | + | 23.0212i | −0.457505 | + | 0.792422i | ||||
\(845\) | 44.6116 | − | 35.2655i | 1.53469 | − | 1.21317i | ||||
\(846\) | 11.3930 | + | 4.14671i | 0.391699 | + | 0.142567i | ||||
\(847\) | −5.04748 | − | 2.91416i | −0.173433 | − | 0.100132i | ||||
\(848\) | −10.3183 | + | 5.95727i | −0.354332 | + | 0.204573i | ||||
\(849\) | 8.06933 | + | 45.7634i | 0.276939 | + | 1.57060i | ||||
\(850\) | −8.55082 | + | 36.0401i | −0.293291 | + | 1.23616i | ||||
\(851\) | −11.4073 | + | 9.57186i | −0.391037 | + | 0.328119i | ||||
\(852\) | −21.4742 | − | 3.78648i | −0.735695 | − | 0.129723i | ||||
\(853\) | −16.8337 | − | 46.2501i | −0.576374 | − | 1.58357i | −0.794246 | − | 0.607597i | \(-0.792134\pi\) |
0.217872 | − | 0.975977i | \(-0.430089\pi\) | |||||||
\(854\) | −18.5917 | −0.636193 | ||||||||
\(855\) | 17.6060 | − | 12.6083i | 0.602111 | − | 0.431195i | ||||
\(856\) | 45.3470 | 1.54993 | ||||||||
\(857\) | −10.7975 | − | 29.6660i | −0.368837 | − | 1.01337i | −0.975805 | − | 0.218645i | \(-0.929836\pi\) |
0.606968 | − | 0.794727i | \(-0.292386\pi\) | |||||||
\(858\) | −90.2176 | − | 15.9078i | −3.07998 | − | 0.543083i | ||||
\(859\) | 8.18869 | − | 6.87112i | 0.279394 | − | 0.234440i | −0.492312 | − | 0.870419i | \(-0.663848\pi\) |
0.771706 | + | 0.635979i | \(0.219404\pi\) | |||||||
\(860\) | −1.20400 | − | 3.63493i | −0.0410560 | − | 0.123950i | ||||
\(861\) | 2.54910 | + | 14.4567i | 0.0868730 | + | 0.492681i | ||||
\(862\) | 77.9706 | − | 45.0164i | 2.65569 | − | 1.53326i | ||||
\(863\) | 22.1552 | + | 12.7913i | 0.754170 | + | 0.435420i | 0.827199 | − | 0.561909i | \(-0.189933\pi\) |
−0.0730285 | + | 0.997330i | \(0.523266\pi\) | |||||||
\(864\) | −5.43124 | − | 1.97681i | −0.184775 | − | 0.0672524i | ||||
\(865\) | 2.27470 | + | 2.87755i | 0.0773423 | + | 0.0978395i | ||||
\(866\) | 43.8392 | − | 75.9316i | 1.48971 | − | 2.58026i | ||||
\(867\) | 14.3227 | − | 8.26921i | 0.486424 | − | 0.280837i | ||||
\(868\) | −25.8406 | + | 4.55640i | −0.877088 | + | 0.154654i | ||||
\(869\) | −8.60854 | − | 7.22342i | −0.292025 | − | 0.245038i | ||||
\(870\) | −3.90478 | − | 26.6801i | −0.132384 | − | 0.904540i | ||||
\(871\) | −0.722290 | + | 4.09631i | −0.0244739 | + | 0.138798i | ||||
\(872\) | −9.51731 | − | 26.1486i | −0.322297 | − | 0.885503i | ||||
\(873\) | − | 0.288703i | − | 0.00977113i | ||||||
\(874\) | −9.56087 | − | 74.8258i | −0.323401 | − | 2.53102i | ||||
\(875\) | −1.60151 | + | 18.2295i | −0.0541409 | + | 0.616268i | ||||
\(876\) | 50.6479 | − | 18.4343i | 1.71123 | − | 0.622838i | ||||
\(877\) | −30.6228 | − | 5.39963i | −1.03406 | − | 0.182332i | −0.369237 | − | 0.929335i | \(-0.620381\pi\) |
−0.664821 | + | 0.747003i | \(0.731492\pi\) | |||||||
\(878\) | −33.8076 | − | 40.2903i | −1.14095 | − | 1.35973i | ||||
\(879\) | 8.02882 | + | 6.73698i | 0.270805 | + | 0.227233i | ||||
\(880\) | 10.6111 | + | 4.21699i | 0.357699 | + | 0.142155i | ||||
\(881\) | 23.7233 | + | 41.0899i | 0.799257 | + | 1.38435i | 0.920101 | + | 0.391682i | \(0.128107\pi\) |
−0.120844 | + | 0.992672i | \(0.538560\pi\) | |||||||
\(882\) | 19.7122 | + | 11.3808i | 0.663744 | + | 0.383213i | ||||
\(883\) | −4.97065 | + | 13.6568i | −0.167276 | + | 0.459586i | −0.994801 | − | 0.101843i | \(-0.967526\pi\) |
0.827525 | + | 0.561429i | \(0.189748\pi\) | |||||||
\(884\) | −65.9173 | − | 23.9919i | −2.21704 | − | 0.806936i | ||||
\(885\) | 55.1708 | − | 29.7392i | 1.85455 | − | 0.999674i | ||||
\(886\) | 11.6756 | + | 20.2227i | 0.392249 | + | 0.679396i | ||||
\(887\) | 36.5629 | − | 6.44703i | 1.22766 | − | 0.216470i | 0.478042 | − | 0.878337i | \(-0.341347\pi\) |
0.749621 | + | 0.661867i | \(0.230236\pi\) | |||||||
\(888\) | −11.5207 | + | 13.7299i | −0.386610 | + | 0.460744i | ||||
\(889\) | 10.9005 | − | 9.14660i | 0.365591 | − | 0.306767i | ||||
\(890\) | −60.9977 | + | 68.5260i | −2.04465 | + | 2.29700i | ||||
\(891\) | 27.4985 | − | 10.0086i | 0.921234 | − | 0.335302i | ||||
\(892\) | 60.0483i | 2.01057i | ||||||||
\(893\) | 2.98031 | + | 9.57955i | 0.0997322 | + | 0.320567i | ||||
\(894\) | −19.9695 | −0.667879 | ||||||||
\(895\) | −6.41938 | + | 31.0702i | −0.214576 | + | 1.03856i | ||||
\(896\) | 5.86861 | − | 33.2825i | 0.196056 | − | 1.11189i | ||||
\(897\) | −66.4639 | − | 79.2086i | −2.21917 | − | 2.64470i | ||||
\(898\) | −56.8523 | + | 67.7539i | −1.89718 | + | 2.26098i | ||||
\(899\) | −1.71087 | − | 9.70283i | −0.0570607 | − | 0.323607i | ||||
\(900\) | −22.1150 | + | 33.6066i | −0.737168 | + | 1.12022i | ||||
\(901\) | −9.94198 | + | 17.2200i | −0.331215 | + | 0.573682i | ||||
\(902\) | 8.68077 | − | 23.8502i | 0.289038 | − | 0.794126i | ||||
\(903\) | 0.604891 | − | 1.66192i | 0.0201295 | − | 0.0553054i | ||||
\(904\) | −25.5427 | + | 44.2412i | −0.849537 | + | 1.47144i | ||||
\(905\) | −51.2866 | − | 1.49847i | −1.70482 | − | 0.0498109i | ||||
\(906\) | 4.22474 | + | 23.9597i | 0.140358 | + | 0.796007i | ||||
\(907\) | −6.98432 | + | 8.32358i | −0.231910 | + | 0.276380i | −0.869432 | − | 0.494052i | \(-0.835515\pi\) |
0.637522 | + | 0.770432i | \(0.279960\pi\) | |||||||
\(908\) | 27.4286 | + | 32.6881i | 0.910250 | + | 1.08479i | ||||
\(909\) | −1.44116 | + | 8.17321i | −0.0478002 | + | 0.271088i | ||||
\(910\) | −52.6825 | − | 10.8847i | −1.74641 | − | 0.360824i | ||||
\(911\) | −39.5522 | −1.31042 | −0.655211 | − | 0.755446i | \(-0.727420\pi\) | ||||
−0.655211 | + | 0.755446i | \(0.727420\pi\) | |||||||
\(912\) | −5.53981 | − | 17.8065i | −0.183441 | − | 0.589633i | ||||
\(913\) | 17.5212i | 0.579867i | ||||||||
\(914\) | 31.2682 | − | 11.3807i | 1.03426 | − | 0.376440i | ||||
\(915\) | −16.2759 | + | 18.2846i | −0.538064 | + | 0.604471i | ||||
\(916\) | −21.7036 | + | 18.2115i | −0.717108 | + | 0.601725i | ||||
\(917\) | 11.0953 | − | 13.2229i | 0.366400 | − | 0.436659i | ||||
\(918\) | 12.9743 | − | 2.28771i | 0.428214 | − | 0.0755058i | ||||
\(919\) | 16.0782 | + | 27.8483i | 0.530372 | + | 0.918631i | 0.999372 | + | 0.0354331i | \(0.0112811\pi\) |
−0.469000 | + | 0.883198i | \(0.655386\pi\) | |||||||
\(920\) | 29.7730 | + | 55.2333i | 0.981585 | + | 1.82099i | ||||
\(921\) | −52.2286 | − | 19.0096i | −1.72099 | − | 0.626389i | ||||
\(922\) | −8.21942 | + | 22.5827i | −0.270692 | + | 0.743720i | ||||
\(923\) | −14.1464 | − | 8.16742i | −0.465634 | − | 0.268834i | ||||
\(924\) | 18.4721 | + | 31.9945i | 0.607686 | + | 1.05254i | ||||
\(925\) | 6.08951 | + | 8.18375i | 0.200222 | + | 0.269080i | ||||
\(926\) | −1.31158 | − | 1.10055i | −0.0431012 | − | 0.0361662i | ||||
\(927\) | 9.42491 | + | 11.2322i | 0.309555 | + | 0.368913i | ||||
\(928\) | 7.12380 | + | 1.25612i | 0.233850 | + | 0.0412341i | ||||
\(929\) | −10.2742 | + | 3.73950i | −0.337085 | + | 0.122689i | −0.505016 | − | 0.863110i | \(-0.668514\pi\) |
0.167931 | + | 0.985799i | \(0.446291\pi\) | |||||||
\(930\) | −28.1592 | + | 45.6407i | −0.923376 | + | 1.49662i | ||||
\(931\) | 2.38720 | + | 18.6828i | 0.0782372 | + | 0.612304i | ||||
\(932\) | 24.3355i | 0.797136i | ||||||||
\(933\) | −17.2103 | − | 47.2848i | −0.563439 | − | 1.54803i | ||||
\(934\) | 14.4171 | − | 81.7633i | 0.471741 | − | 2.67538i | ||||
\(935\) | 18.8550 | − | 2.75952i | 0.616623 | − | 0.0902461i | ||||
\(936\) | −40.5635 | − | 34.0368i | −1.32586 | − | 1.11253i | ||||
\(937\) | 44.3460 | − | 7.81940i | 1.44872 | − | 0.255449i | 0.606716 | − | 0.794918i | \(-0.292486\pi\) |
0.842005 | + | 0.539470i | \(0.181375\pi\) | |||||||
\(938\) | 2.25497 | − | 1.30191i | 0.0736275 | − | 0.0425088i | ||||
\(939\) | 33.6845 | − | 58.3433i | 1.09925 | − | 1.90396i | ||||
\(940\) | −11.5583 | − | 14.6214i | −0.376989 | − | 0.476899i | ||||
\(941\) | 40.0794 | + | 14.5877i | 1.30655 | + | 0.475545i | 0.899125 | − | 0.437693i | \(-0.144204\pi\) |
0.407426 | + | 0.913238i | \(0.366427\pi\) | |||||||
\(942\) | 95.0855 | + | 54.8977i | 3.09805 | + | 1.78866i | ||||
\(943\) | 24.8094 | − | 14.3237i | 0.807905 | − | 0.466444i | ||||
\(944\) | −3.98778 | − | 22.6158i | −0.129791 | − | 0.736083i | ||||
\(945\) | 6.17862 | − | 2.04655i | 0.200991 | − | 0.0665742i | ||||
\(946\) | −2.34245 | + | 1.96555i | −0.0761596 | + | 0.0639055i | ||||
\(947\) | −24.3377 | − | 4.29139i | −0.790869 | − | 0.139452i | −0.236400 | − | 0.971656i | \(-0.575968\pi\) |
−0.554469 | + | 0.832204i | \(0.687079\pi\) | |||||||
\(948\) | −11.6617 | − | 32.0403i | −0.378754 | − | 1.04062i | ||||
\(949\) | 40.3761 | 1.31066 | ||||||||
\(950\) | −51.5523 | + | 3.54555i | −1.67258 | + | 0.115033i | ||||
\(951\) | −18.3795 | −0.595996 | ||||||||
\(952\) | 6.72453 | + | 18.4755i | 0.217943 | + | 0.598794i | ||||
\(953\) | −15.2813 | − | 2.69451i | −0.495010 | − | 0.0872836i | −0.0794303 | − | 0.996840i | \(-0.525310\pi\) |
−0.415580 | + | 0.909557i | \(0.636421\pi\) | |||||||
\(954\) | −25.6801 | + | 21.5482i | −0.831426 | + | 0.697649i | ||||
\(955\) | 21.6721 | − | 7.17845i | 0.701293 | − | 0.232289i | ||||
\(956\) | −10.0458 | − | 56.9728i | −0.324906 | − | 1.84263i | ||||
\(957\) | −12.0135 | + | 6.93602i | −0.388342 | + | 0.224210i | ||||
\(958\) | −55.3578 | − | 31.9608i | −1.78853 | − | 1.03261i | ||||
\(959\) | 0.610947 | + | 0.222367i | 0.0197285 | + | 0.00718059i | ||||
\(960\) | −36.2824 | − | 45.8980i | −1.17101 | − | 1.48135i | ||||
\(961\) | 5.70235 | − | 9.87675i | 0.183947 | − | 0.318605i | ||||
\(962\) | −25.9695 | + | 14.9935i | −0.837292 | + | 0.483411i | ||||
\(963\) | 25.8081 | − | 4.55067i | 0.831655 | − | 0.146643i | ||||
\(964\) | −29.0057 | − | 24.3387i | −0.934210 | − | 0.783895i | ||||
\(965\) | 26.1766 | − | 3.83109i | 0.842654 | − | 0.123327i | ||||
\(966\) | −11.2398 | + | 63.7440i | −0.361634 | + | 2.05093i | ||||
\(967\) | 5.48978 | + | 15.0830i | 0.176539 | + | 0.485038i | 0.996128 | − | 0.0879145i | \(-0.0280202\pi\) |
−0.819589 | + | 0.572952i | \(0.805798\pi\) | |||||||
\(968\) | 13.6898i | 0.440006i | ||||||||
\(969\) | −22.8652 | − | 21.1130i | −0.734535 | − | 0.678248i | ||||
\(970\) | −0.361735 | + | 0.586304i | −0.0116146 | + | 0.0188251i | ||||
\(971\) | 5.42132 | − | 1.97320i | 0.173978 | − | 0.0633230i | −0.253562 | − | 0.967319i | \(-0.581602\pi\) |
0.427541 | + | 0.903996i | \(0.359380\pi\) | |||||||
\(972\) | 68.4122 | + | 12.0629i | 2.19432 | + | 0.386918i | ||||
\(973\) | −7.89644 | − | 9.41061i | −0.253148 | − | 0.301690i | ||||
\(974\) | −5.57154 | − | 4.67507i | −0.178524 | − | 0.149799i | ||||
\(975\) | −56.8253 | + | 42.2836i | −1.81987 | + | 1.35416i | ||||
\(976\) | 4.48466 | + | 7.76766i | 0.143551 | + | 0.248637i | ||||
\(977\) | 40.5060 | + | 23.3862i | 1.29590 | + | 0.748190i | 0.979694 | − | 0.200499i | \(-0.0642565\pi\) |
0.316209 | + | 0.948689i | \(0.397590\pi\) | |||||||
\(978\) | 29.0168 | − | 79.7229i | 0.927854 | − | 2.54926i | ||||
\(979\) | 44.3509 | + | 16.1424i | 1.41746 | + | 0.515914i | ||||
\(980\) | −16.6030 | − | 30.8010i | −0.530362 | − | 0.983901i | ||||
\(981\) | −8.04061 | − | 13.9267i | −0.256717 | − | 0.444647i | ||||
\(982\) | −2.91607 | + | 0.514183i | −0.0930557 | + | 0.0164082i | ||||
\(983\) | 21.6002 | − | 25.7421i | 0.688939 | − | 0.821046i | −0.302288 | − | 0.953217i | \(-0.597750\pi\) |
0.991227 | + | 0.132171i | \(0.0421947\pi\) | |||||||
\(984\) | 26.4133 | − | 22.1634i | 0.842025 | − | 0.706543i | ||||
\(985\) | 4.05393 | − | 4.55426i | 0.129169 | − | 0.145111i | ||||
\(986\) | −15.4940 | + | 5.63936i | −0.493430 | + | 0.179594i | ||||
\(987\) | − | 8.60848i | − | 0.274011i | ||||||
\(988\) | 4.64142 | − | 97.7507i | 0.147663 | − | 3.10986i | ||||
\(989\) | −3.45139 | −0.109748 | ||||||||
\(990\) | 31.4624 | + | 6.50041i | 0.999940 | + | 0.206597i | ||||
\(991\) | −7.91905 | + | 44.9112i | −0.251557 | + | 1.42665i | 0.553202 | + | 0.833047i | \(0.313406\pi\) |
−0.804758 | + | 0.593602i | \(0.797705\pi\) | |||||||
\(992\) | −9.24768 | − | 11.0210i | −0.293614 | − | 0.349916i | ||||
\(993\) | −26.7599 | + | 31.8912i | −0.849199 | + | 1.01204i | ||||
\(994\) | 1.77564 | + | 10.0701i | 0.0563198 | + | 0.319406i | ||||
\(995\) | 10.0097 | + | 0.292459i | 0.317329 | + | 0.00927158i | ||||
\(996\) | −26.5808 | + | 46.0393i | −0.842246 | + | 1.45881i | ||||
\(997\) | −1.64213 | + | 4.51171i | −0.0520067 | + | 0.142887i | −0.962976 | − | 0.269587i | \(-0.913113\pi\) |
0.910969 | + | 0.412474i | \(0.135335\pi\) | |||||||
\(998\) | −15.8713 | + | 43.6062i | −0.502399 | + | 1.38033i | ||||
\(999\) | 1.81408 | − | 3.14208i | 0.0573950 | − | 0.0994111i |
(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 | 95.2.p.a.24.1 | yes | 48 | |
3.2 | odd | 2 | 855.2.da.b.784.8 | 48 | |||
5.2 | odd | 4 | 475.2.l.f.176.8 | 48 | |||
5.3 | odd | 4 | 475.2.l.f.176.1 | 48 | |||
5.4 | even | 2 | inner | 95.2.p.a.24.8 | yes | 48 | |
15.14 | odd | 2 | 855.2.da.b.784.1 | 48 | |||
19.2 | odd | 18 | 1805.2.b.l.1084.2 | 24 | |||
19.4 | even | 9 | inner | 95.2.p.a.4.8 | yes | 48 | |
19.17 | even | 9 | 1805.2.b.k.1084.23 | 24 | |||
57.23 | odd | 18 | 855.2.da.b.289.1 | 48 | |||
95.2 | even | 36 | 9025.2.a.ct.1.23 | 24 | |||
95.4 | even | 18 | inner | 95.2.p.a.4.1 | ✓ | 48 | |
95.17 | odd | 36 | 9025.2.a.cu.1.2 | 24 | |||
95.23 | odd | 36 | 475.2.l.f.251.1 | 48 | |||
95.42 | odd | 36 | 475.2.l.f.251.8 | 48 | |||
95.59 | odd | 18 | 1805.2.b.l.1084.23 | 24 | |||
95.74 | even | 18 | 1805.2.b.k.1084.2 | 24 | |||
95.78 | even | 36 | 9025.2.a.ct.1.2 | 24 | |||
95.93 | odd | 36 | 9025.2.a.cu.1.23 | 24 | |||
285.194 | odd | 18 | 855.2.da.b.289.8 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.p.a.4.1 | ✓ | 48 | 95.4 | even | 18 | inner | |
95.2.p.a.4.8 | yes | 48 | 19.4 | even | 9 | inner | |
95.2.p.a.24.1 | yes | 48 | 1.1 | even | 1 | trivial | |
95.2.p.a.24.8 | yes | 48 | 5.4 | even | 2 | inner | |
475.2.l.f.176.1 | 48 | 5.3 | odd | 4 | |||
475.2.l.f.176.8 | 48 | 5.2 | odd | 4 | |||
475.2.l.f.251.1 | 48 | 95.23 | odd | 36 | |||
475.2.l.f.251.8 | 48 | 95.42 | odd | 36 | |||
855.2.da.b.289.1 | 48 | 57.23 | odd | 18 | |||
855.2.da.b.289.8 | 48 | 285.194 | odd | 18 | |||
855.2.da.b.784.1 | 48 | 15.14 | odd | 2 | |||
855.2.da.b.784.8 | 48 | 3.2 | odd | 2 | |||
1805.2.b.k.1084.2 | 24 | 95.74 | even | 18 | |||
1805.2.b.k.1084.23 | 24 | 19.17 | even | 9 | |||
1805.2.b.l.1084.2 | 24 | 19.2 | odd | 18 | |||
1805.2.b.l.1084.23 | 24 | 95.59 | odd | 18 | |||
9025.2.a.ct.1.2 | 24 | 95.78 | even | 36 | |||
9025.2.a.ct.1.23 | 24 | 95.2 | even | 36 | |||
9025.2.a.cu.1.2 | 24 | 95.17 | odd | 36 | |||
9025.2.a.cu.1.23 | 24 | 95.93 | odd | 36 |