Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), 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: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 16.4 | ||
Character | \(\chi\) | \(=\) | 201.16 |
Dual form | 201.2.m.a.88.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{33}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.618425 | + | 0.119192i | 0.437293 | + | 0.0842812i | 0.403146 | − | 0.915136i | \(-0.367917\pi\) |
0.0341464 | + | 0.999417i | \(0.489129\pi\) | |||||||
\(3\) | −0.415415 | − | 0.909632i | −0.239840 | − | 0.525176i | ||||
\(4\) | −1.48849 | − | 0.595903i | −0.744247 | − | 0.297951i | ||||
\(5\) | 0.388724 | − | 0.114140i | 0.173843 | − | 0.0510448i | −0.193653 | − | 0.981070i | \(-0.562034\pi\) |
0.367495 | + | 0.930025i | \(0.380215\pi\) | |||||||
\(6\) | −0.148482 | − | 0.612053i | −0.0606177 | − | 0.249870i | ||||
\(7\) | −1.43299 | − | 4.14037i | −0.541621 | − | 1.56491i | −0.800706 | − | 0.599057i | \(-0.795542\pi\) |
0.259085 | − | 0.965854i | \(-0.416579\pi\) | |||||||
\(8\) | −1.90915 | − | 1.22694i | −0.674986 | − | 0.433787i | ||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0.254001 | − | 0.0242541i | 0.0803221 | − | 0.00766983i | ||||
\(11\) | 0.0680902 | − | 0.280672i | 0.0205300 | − | 0.0846257i | −0.960625 | − | 0.277848i | \(-0.910379\pi\) |
0.981155 | + | 0.193223i | \(0.0618939\pi\) | |||||||
\(12\) | 0.0762902 | + | 1.60153i | 0.0220231 | + | 0.462321i | ||||
\(13\) | 0.970194 | + | 0.500170i | 0.269083 | + | 0.138722i | 0.587488 | − | 0.809233i | \(-0.300117\pi\) |
−0.318405 | + | 0.947955i | \(0.603147\pi\) | |||||||
\(14\) | −0.392703 | − | 2.73131i | −0.104954 | − | 0.729972i | ||||
\(15\) | −0.265307 | − | 0.306180i | −0.0685019 | − | 0.0790554i | ||||
\(16\) | 1.28636 | + | 1.22655i | 0.321591 | + | 0.306636i | ||||
\(17\) | 3.87621 | − | 1.55180i | 0.940119 | − | 0.376367i | 0.149560 | − | 0.988753i | \(-0.452214\pi\) |
0.790559 | + | 0.612386i | \(0.209790\pi\) | |||||||
\(18\) | −0.495061 | + | 0.389321i | −0.116687 | + | 0.0917637i | ||||
\(19\) | 0.256804 | − | 0.741987i | 0.0589149 | − | 0.170223i | −0.911703 | − | 0.410850i | \(-0.865232\pi\) |
0.970618 | + | 0.240627i | \(0.0773531\pi\) | |||||||
\(20\) | −0.646629 | − | 0.0617455i | −0.144591 | − | 0.0138067i | ||||
\(21\) | −3.17092 | + | 3.02347i | −0.691952 | + | 0.659775i | ||||
\(22\) | 0.0755624 | − | 0.165459i | 0.0161100 | − | 0.0352759i | ||||
\(23\) | 2.39267 | − | 3.36004i | 0.498907 | − | 0.700617i | −0.485950 | − | 0.873987i | \(-0.661526\pi\) |
0.984857 | + | 0.173370i | \(0.0554656\pi\) | |||||||
\(24\) | −0.322971 | + | 2.24631i | −0.0659261 | + | 0.458526i | ||||
\(25\) | −4.06819 | + | 2.61447i | −0.813638 | + | 0.522893i | ||||
\(26\) | 0.540376 | + | 0.424956i | 0.105976 | + | 0.0833408i | ||||
\(27\) | 0.959493 | + | 0.281733i | 0.184655 | + | 0.0542195i | ||||
\(28\) | −0.334253 | + | 7.01683i | −0.0631679 | + | 1.32606i | ||||
\(29\) | 1.40643 | − | 2.43601i | 0.261168 | − | 0.452355i | −0.705385 | − | 0.708824i | \(-0.749226\pi\) |
0.966552 | + | 0.256469i | \(0.0825592\pi\) | |||||||
\(30\) | −0.127578 | − | 0.220972i | −0.0232925 | − | 0.0403438i | ||||
\(31\) | −3.40818 | + | 1.75704i | −0.612128 | + | 0.315574i | −0.736267 | − | 0.676691i | \(-0.763413\pi\) |
0.124139 | + | 0.992265i | \(0.460383\pi\) | |||||||
\(32\) | 3.28210 | + | 4.60906i | 0.580199 | + | 0.814775i | ||||
\(33\) | −0.283594 | + | 0.0546582i | −0.0493673 | + | 0.00951477i | ||||
\(34\) | 2.58211 | − | 0.497660i | 0.442828 | − | 0.0853480i | ||||
\(35\) | −1.02962 | − | 1.44590i | −0.174037 | − | 0.244401i | ||||
\(36\) | 1.42511 | − | 0.734695i | 0.237518 | − | 0.122449i | ||||
\(37\) | 2.89740 | + | 5.01844i | 0.476329 | + | 0.825026i | 0.999632 | − | 0.0271205i | \(-0.00863377\pi\) |
−0.523303 | + | 0.852147i | \(0.675300\pi\) | |||||||
\(38\) | 0.247253 | − | 0.428254i | 0.0401097 | − | 0.0694720i | ||||
\(39\) | 0.0519373 | − | 1.09030i | 0.00831662 | − | 0.174587i | ||||
\(40\) | −0.882173 | − | 0.259029i | −0.139484 | − | 0.0409561i | ||||
\(41\) | 9.43987 | + | 7.42360i | 1.47426 | + | 1.15937i | 0.951805 | + | 0.306705i | \(0.0992265\pi\) |
0.522456 | + | 0.852666i | \(0.325016\pi\) | |||||||
\(42\) | −2.32135 | + | 1.49184i | −0.358192 | + | 0.230196i | ||||
\(43\) | 0.727762 | − | 5.06169i | 0.110983 | − | 0.771901i | −0.855985 | − | 0.517001i | \(-0.827048\pi\) |
0.966967 | − | 0.254900i | \(-0.0820426\pi\) | |||||||
\(44\) | −0.268605 | + | 0.377203i | −0.0404937 | + | 0.0568655i | ||||
\(45\) | −0.168299 | + | 0.368523i | −0.0250885 | + | 0.0549362i | ||||
\(46\) | 1.88018 | − | 1.79275i | 0.277217 | − | 0.264326i | ||||
\(47\) | 7.62961 | + | 0.728539i | 1.11289 | + | 0.106268i | 0.635265 | − | 0.772294i | \(-0.280891\pi\) |
0.477627 | + | 0.878563i | \(0.341497\pi\) | |||||||
\(48\) | 0.581330 | − | 1.67964i | 0.0839078 | − | 0.242436i | ||||
\(49\) | −9.58679 | + | 7.53913i | −1.36954 | + | 1.07702i | ||||
\(50\) | −2.82749 | + | 1.13196i | −0.399868 | + | 0.160083i | ||||
\(51\) | −3.02180 | − | 2.88128i | −0.423137 | − | 0.403460i | ||||
\(52\) | −1.14607 | − | 1.32264i | −0.158932 | − | 0.183417i | ||||
\(53\) | −1.47330 | − | 10.2470i | −0.202373 | − | 1.40754i | −0.797216 | − | 0.603695i | \(-0.793695\pi\) |
0.594842 | − | 0.803842i | \(-0.297214\pi\) | |||||||
\(54\) | 0.559794 | + | 0.288594i | 0.0761784 | + | 0.0392727i | ||||
\(55\) | −0.00556747 | − | 0.116876i | −0.000750717 | − | 0.0157595i | ||||
\(56\) | −2.34416 | + | 9.66277i | −0.313252 | + | 1.29124i | ||||
\(57\) | −0.781615 | + | 0.0746352i | −0.103527 | + | 0.00988567i | ||||
\(58\) | 1.16012 | − | 1.33885i | 0.152332 | − | 0.175800i | ||||
\(59\) | −9.96927 | − | 6.40686i | −1.29789 | − | 0.834103i | −0.304908 | − | 0.952382i | \(-0.598626\pi\) |
−0.992980 | + | 0.118279i | \(0.962262\pi\) | |||||||
\(60\) | 0.212453 | + | 0.613844i | 0.0274276 | + | 0.0792469i | ||||
\(61\) | −1.48709 | − | 6.12985i | −0.190402 | − | 0.784847i | −0.984257 | − | 0.176741i | \(-0.943445\pi\) |
0.793856 | − | 0.608106i | \(-0.208071\pi\) | |||||||
\(62\) | −2.31713 | + | 0.680371i | −0.294276 | + | 0.0864072i | ||||
\(63\) | 4.06749 | + | 1.62838i | 0.512456 | + | 0.205156i | ||||
\(64\) | 0.00365348 | + | 0.00800000i | 0.000456685 | + | 0.00100000i | ||||
\(65\) | 0.434226 | + | 0.0836903i | 0.0538592 | + | 0.0103805i | ||||
\(66\) | −0.181896 | −0.0223899 | ||||||||
\(67\) | 4.56322 | + | 6.79537i | 0.557486 | + | 0.830187i | ||||
\(68\) | −6.69443 | −0.811819 | ||||||||
\(69\) | −4.05035 | − | 0.780642i | −0.487605 | − | 0.0939782i | ||||
\(70\) | −0.464403 | − | 1.01690i | −0.0555068 | − | 0.121543i | ||||
\(71\) | 4.87282 | + | 1.95078i | 0.578298 | + | 0.231515i | 0.642325 | − | 0.766433i | \(-0.277970\pi\) |
−0.0640270 | + | 0.997948i | \(0.520394\pi\) | |||||||
\(72\) | 2.17748 | − | 0.639366i | 0.256619 | − | 0.0753501i | ||||
\(73\) | 1.19611 | + | 4.93043i | 0.139994 | + | 0.577063i | 0.997988 | + | 0.0634032i | \(0.0201954\pi\) |
−0.857994 | + | 0.513660i | \(0.828289\pi\) | |||||||
\(74\) | 1.19367 | + | 3.44887i | 0.138761 | + | 0.400923i | ||||
\(75\) | 4.06819 | + | 2.61447i | 0.469754 | + | 0.301893i | ||||
\(76\) | −0.824403 | + | 0.951412i | −0.0945655 | + | 0.109134i | ||||
\(77\) | −1.25966 | + | 0.120283i | −0.143551 | + | 0.0137075i | ||||
\(78\) | 0.162074 | − | 0.668077i | 0.0183512 | − | 0.0756448i | ||||
\(79\) | −0.388114 | − | 8.14751i | −0.0436662 | − | 0.916667i | −0.909339 | − | 0.416056i | \(-0.863412\pi\) |
0.865673 | − | 0.500611i | \(-0.166891\pi\) | |||||||
\(80\) | 0.640038 | + | 0.329962i | 0.0715584 | + | 0.0368909i | ||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 4.95302 | + | 5.71609i | 0.546970 | + | 0.631237i | ||||
\(83\) | 0.222290 | + | 0.211953i | 0.0243995 | + | 0.0232648i | 0.702181 | − | 0.711999i | \(-0.252210\pi\) |
−0.677781 | + | 0.735264i | \(0.737058\pi\) | |||||||
\(84\) | 6.52159 | − | 2.61085i | 0.711564 | − | 0.284867i | ||||
\(85\) | 1.32965 | − | 1.04565i | 0.144221 | − | 0.113417i | ||||
\(86\) | 1.05338 | − | 3.04354i | 0.113589 | − | 0.328193i | ||||
\(87\) | −2.80012 | − | 0.267379i | −0.300205 | − | 0.0286661i | ||||
\(88\) | −0.474360 | + | 0.452302i | −0.0505670 | + | 0.0482155i | ||||
\(89\) | 3.39287 | − | 7.42935i | 0.359644 | − | 0.787509i | −0.640171 | − | 0.768233i | \(-0.721136\pi\) |
0.999814 | − | 0.0192767i | \(-0.00613635\pi\) | |||||||
\(90\) | −0.148005 | + | 0.207844i | −0.0156011 | + | 0.0219087i | ||||
\(91\) | 0.680603 | − | 4.73370i | 0.0713466 | − | 0.496226i | ||||
\(92\) | −5.56374 | + | 3.57560i | −0.580060 | + | 0.372782i | ||||
\(93\) | 3.01407 | + | 2.37029i | 0.312545 | + | 0.245788i | ||||
\(94\) | 4.63150 | + | 1.35993i | 0.477703 | + | 0.140266i | ||||
\(95\) | 0.0151358 | − | 0.317739i | 0.00155290 | − | 0.0325994i | ||||
\(96\) | 2.82912 | − | 4.90018i | 0.288746 | − | 0.500122i | ||||
\(97\) | −6.89881 | − | 11.9491i | −0.700468 | − | 1.21325i | −0.968302 | − | 0.249781i | \(-0.919641\pi\) |
0.267834 | − | 0.963465i | \(-0.413692\pi\) | |||||||
\(98\) | −6.82731 | + | 3.51972i | −0.689662 | + | 0.355546i | ||||
\(99\) | 0.167528 | + | 0.235260i | 0.0168372 | + | 0.0236445i | ||||
\(100\) | 7.61344 | − | 1.46737i | 0.761344 | − | 0.146737i | ||||
\(101\) | −1.34947 | + | 0.260089i | −0.134277 | + | 0.0258798i | −0.255947 | − | 0.966691i | \(-0.582387\pi\) |
0.121670 | + | 0.992571i | \(0.461175\pi\) | |||||||
\(102\) | −1.52533 | − | 2.14203i | −0.151031 | − | 0.212093i | ||||
\(103\) | 2.46292 | − | 1.26972i | 0.242679 | − | 0.125110i | −0.332597 | − | 0.943069i | \(-0.607925\pi\) |
0.575276 | + | 0.817959i | \(0.304895\pi\) | |||||||
\(104\) | −1.23857 | − | 2.14526i | −0.121452 | − | 0.210360i | ||||
\(105\) | −0.887515 | + | 1.53722i | −0.0866126 | + | 0.150017i | ||||
\(106\) | 0.310234 | − | 6.51262i | 0.0301326 | − | 0.632562i | ||||
\(107\) | 2.98063 | + | 0.875191i | 0.288148 | + | 0.0846079i | 0.422612 | − | 0.906311i | \(-0.361113\pi\) |
−0.134464 | + | 0.990918i | \(0.542931\pi\) | |||||||
\(108\) | −1.26031 | − | 0.991121i | −0.121274 | − | 0.0953707i | ||||
\(109\) | −15.7284 | + | 10.1080i | −1.50651 | + | 0.968172i | −0.512519 | + | 0.858676i | \(0.671287\pi\) |
−0.993987 | + | 0.109496i | \(0.965076\pi\) | |||||||
\(110\) | 0.0104875 | − | 0.0729423i | 0.000999946 | − | 0.00695478i | ||||
\(111\) | 3.36131 | − | 4.72030i | 0.319041 | − | 0.448031i | ||||
\(112\) | 3.23500 | − | 7.08365i | 0.305678 | − | 0.669342i | ||||
\(113\) | −4.94996 | + | 4.71978i | −0.465653 | + | 0.443999i | −0.886222 | − | 0.463261i | \(-0.846679\pi\) |
0.420569 | + | 0.907261i | \(0.361831\pi\) | |||||||
\(114\) | −0.492266 | − | 0.0470057i | −0.0461050 | − | 0.00440249i | ||||
\(115\) | 0.546575 | − | 1.57923i | 0.0509684 | − | 0.147264i | ||||
\(116\) | −3.54509 | + | 2.78789i | −0.329153 | + | 0.258849i | ||||
\(117\) | −1.01334 | + | 0.405682i | −0.0936838 | + | 0.0375053i | ||||
\(118\) | −5.40160 | − | 5.15042i | −0.497258 | − | 0.474134i | ||||
\(119\) | −11.9796 | − | 13.8252i | −1.09817 | − | 1.26735i | ||||
\(120\) | 0.130847 | + | 0.910057i | 0.0119446 | + | 0.0830765i | ||||
\(121\) | 9.70305 | + | 5.00227i | 0.882095 | + | 0.454752i | ||||
\(122\) | −0.189024 | − | 3.96810i | −0.0171134 | − | 0.359255i | ||||
\(123\) | 2.83128 | − | 11.6707i | 0.255288 | − | 1.05231i | ||||
\(124\) | 6.12008 | − | 0.584397i | 0.549600 | − | 0.0524804i | ||||
\(125\) | −2.60952 | + | 3.01155i | −0.233403 | + | 0.269361i | ||||
\(126\) | 2.32135 | + | 1.49184i | 0.206802 | + | 0.132904i | ||||
\(127\) | −0.623890 | − | 1.80261i | −0.0553613 | − | 0.159956i | 0.913930 | − | 0.405873i | \(-0.133032\pi\) |
−0.969291 | + | 0.245917i | \(0.920911\pi\) | |||||||
\(128\) | −2.66665 | − | 10.9921i | −0.235701 | − | 0.971573i | ||||
\(129\) | −4.90660 | + | 1.44071i | −0.432002 | + | 0.126847i | ||||
\(130\) | 0.258561 | + | 0.103512i | 0.0226773 | + | 0.00907863i | ||||
\(131\) | 8.45635 | + | 18.5168i | 0.738835 | + | 1.61782i | 0.785462 | + | 0.618910i | \(0.212425\pi\) |
−0.0466272 | + | 0.998912i | \(0.514847\pi\) | |||||||
\(132\) | 0.454698 | + | 0.0876359i | 0.0395764 | + | 0.00762773i | ||||
\(133\) | −3.44010 | −0.298294 | ||||||||
\(134\) | 2.01206 | + | 4.74632i | 0.173815 | + | 0.410020i | ||||
\(135\) | 0.405134 | 0.0348684 | ||||||||
\(136\) | −9.30422 | − | 1.79324i | −0.797830 | − | 0.153769i | ||||
\(137\) | 2.39258 | + | 5.23901i | 0.204411 | + | 0.447599i | 0.983877 | − | 0.178846i | \(-0.0572365\pi\) |
−0.779466 | + | 0.626445i | \(0.784509\pi\) | |||||||
\(138\) | −2.41179 | − | 0.965536i | −0.205305 | − | 0.0821919i | ||||
\(139\) | 2.54617 | − | 0.747623i | 0.215963 | − | 0.0634126i | −0.171961 | − | 0.985104i | \(-0.555010\pi\) |
0.387924 | + | 0.921691i | \(0.373192\pi\) | |||||||
\(140\) | 0.670966 | + | 2.76576i | 0.0567070 | + | 0.233749i | ||||
\(141\) | −2.50675 | − | 7.24278i | −0.211106 | − | 0.609952i | ||||
\(142\) | 2.78096 | + | 1.78721i | 0.233373 | + | 0.149980i | ||||
\(143\) | 0.206444 | − | 0.238249i | 0.0172637 | − | 0.0199234i | ||||
\(144\) | −1.76935 | + | 0.168953i | −0.147446 | + | 0.0140794i | ||||
\(145\) | 0.268668 | − | 1.10746i | 0.0223116 | − | 0.0919698i | ||||
\(146\) | 0.152038 | + | 3.19167i | 0.0125827 | + | 0.264144i | ||||
\(147\) | 10.8403 | + | 5.58858i | 0.894095 | + | 0.460938i | ||||
\(148\) | −1.32225 | − | 9.19648i | −0.108689 | − | 0.755946i | ||||
\(149\) | 10.5284 | + | 12.1504i | 0.862521 | + | 0.995402i | 0.999988 | + | 0.00489552i | \(0.00155830\pi\) |
−0.137467 | + | 0.990506i | \(0.543896\pi\) | |||||||
\(150\) | 2.20425 | + | 2.10175i | 0.179976 | + | 0.171607i | ||||
\(151\) | 19.9817 | − | 7.99948i | 1.62609 | − | 0.650989i | 0.633640 | − | 0.773628i | \(-0.281560\pi\) |
0.992451 | + | 0.122639i | \(0.0391358\pi\) | |||||||
\(152\) | −1.40065 | + | 1.10148i | −0.113607 | + | 0.0893419i | ||||
\(153\) | −1.36561 | + | 3.94566i | −0.110403 | + | 0.318988i | ||||
\(154\) | −0.793340 | − | 0.0757548i | −0.0639291 | − | 0.00610449i | ||||
\(155\) | −1.12429 | + | 1.07201i | −0.0903055 | + | 0.0861061i | ||||
\(156\) | −0.727019 | + | 1.59195i | −0.0582081 | + | 0.127458i | ||||
\(157\) | −1.95130 | + | 2.74022i | −0.155731 | + | 0.218693i | −0.885069 | − | 0.465460i | \(-0.845889\pi\) |
0.729338 | + | 0.684154i | \(0.239828\pi\) | |||||||
\(158\) | 0.731096 | − | 5.08489i | 0.0581629 | − | 0.404532i | ||||
\(159\) | −8.70899 | + | 5.59693i | −0.690668 | + | 0.443865i | ||||
\(160\) | 1.80191 | + | 1.41703i | 0.142453 | + | 0.112026i | ||||
\(161\) | −17.3405 | − | 5.09163i | −1.36662 | − | 0.401276i | ||||
\(162\) | 0.0299674 | − | 0.629093i | 0.00235446 | − | 0.0494262i | ||||
\(163\) | −4.73069 | + | 8.19379i | −0.370536 | + | 0.641787i | −0.989648 | − | 0.143515i | \(-0.954159\pi\) |
0.619112 | + | 0.785303i | \(0.287493\pi\) | |||||||
\(164\) | −9.62744 | − | 16.6752i | −0.751777 | − | 1.30212i | ||||
\(165\) | −0.104001 | + | 0.0536162i | −0.00809646 | + | 0.00417401i | ||||
\(166\) | 0.112206 | + | 0.157572i | 0.00870891 | + | 0.0122300i | ||||
\(167\) | −7.74780 | + | 1.49327i | −0.599543 | + | 0.115552i | −0.479988 | − | 0.877275i | \(-0.659359\pi\) |
−0.119555 | + | 0.992828i | \(0.538147\pi\) | |||||||
\(168\) | 9.76336 | − | 1.88173i | 0.753260 | − | 0.145179i | ||||
\(169\) | −6.84963 | − | 9.61896i | −0.526895 | − | 0.739920i | ||||
\(170\) | 0.946923 | − | 0.488173i | 0.0726257 | − | 0.0374412i | ||||
\(171\) | 0.392585 | + | 0.679977i | 0.0300217 | + | 0.0519992i | ||||
\(172\) | −4.09955 | + | 7.10062i | −0.312587 | + | 0.541417i | ||||
\(173\) | −0.933198 | + | 19.5902i | −0.0709497 | + | 1.48942i | 0.630216 | + | 0.776420i | \(0.282966\pi\) |
−0.701166 | + | 0.712998i | \(0.747337\pi\) | |||||||
\(174\) | −1.69980 | − | 0.499105i | −0.128861 | − | 0.0378371i | ||||
\(175\) | 16.6545 | + | 13.0973i | 1.25897 | + | 0.990061i | ||||
\(176\) | 0.431846 | − | 0.277530i | 0.0325516 | − | 0.0209196i | ||||
\(177\) | −1.68650 | + | 11.7299i | −0.126765 | + | 0.881672i | ||||
\(178\) | 2.98375 | − | 4.19009i | 0.223642 | − | 0.314061i | ||||
\(179\) | −6.42107 | + | 14.0602i | −0.479933 | + | 1.05091i | 0.502549 | + | 0.864549i | \(0.332396\pi\) |
−0.982482 | + | 0.186358i | \(0.940331\pi\) | |||||||
\(180\) | 0.470116 | − | 0.448255i | 0.0350404 | − | 0.0334109i | ||||
\(181\) | 0.687197 | + | 0.0656194i | 0.0510790 | + | 0.00487745i | 0.120564 | − | 0.992706i | \(-0.461530\pi\) |
−0.0694853 | + | 0.997583i | \(0.522136\pi\) | |||||||
\(182\) | 0.985119 | − | 2.84632i | 0.0730219 | − | 0.210983i | ||||
\(183\) | −4.95815 | + | 3.89913i | −0.366517 | + | 0.288232i | ||||
\(184\) | −8.69052 | + | 3.47916i | −0.640674 | + | 0.256487i | ||||
\(185\) | 1.69909 | + | 1.62008i | 0.124920 | + | 0.119111i | ||||
\(186\) | 1.58146 | + | 1.82510i | 0.115958 | + | 0.133823i | ||||
\(187\) | −0.171614 | − | 1.19361i | −0.0125497 | − | 0.0872850i | ||||
\(188\) | −10.9225 | − | 5.63093i | −0.796604 | − | 0.410678i | ||||
\(189\) | −0.208472 | − | 4.37637i | −0.0151641 | − | 0.318334i | ||||
\(190\) | 0.0472322 | − | 0.194694i | 0.00342659 | − | 0.0141246i | ||||
\(191\) | 12.1961 | − | 1.16458i | 0.882477 | − | 0.0842664i | 0.356030 | − | 0.934474i | \(-0.384130\pi\) |
0.526447 | + | 0.850208i | \(0.323524\pi\) | |||||||
\(192\) | 0.00575935 | − | 0.00664664i | 0.000415645 | − | 0.000479680i | ||||
\(193\) | 15.0501 | + | 9.67213i | 1.08333 | + | 0.696215i | 0.955325 | − | 0.295558i | \(-0.0955056\pi\) |
0.128007 | + | 0.991773i | \(0.459142\pi\) | |||||||
\(194\) | −2.84217 | − | 8.21190i | −0.204056 | − | 0.589580i | ||||
\(195\) | −0.104257 | − | 0.429752i | −0.00746599 | − | 0.0307752i | ||||
\(196\) | 18.7625 | − | 5.50915i | 1.34018 | − | 0.393511i | ||||
\(197\) | 23.3460 | + | 9.34633i | 1.66333 | + | 0.665899i | 0.996827 | − | 0.0795997i | \(-0.0253642\pi\) |
0.666507 | + | 0.745498i | \(0.267788\pi\) | |||||||
\(198\) | 0.0755624 | + | 0.165459i | 0.00536999 | + | 0.0117586i | ||||
\(199\) | −10.2769 | − | 1.98071i | −0.728510 | − | 0.140409i | −0.188507 | − | 0.982072i | \(-0.560365\pi\) |
−0.540003 | + | 0.841663i | \(0.681577\pi\) | |||||||
\(200\) | 10.9746 | 0.776018 | ||||||||
\(201\) | 4.28566 | − | 6.97375i | 0.302287 | − | 0.491890i | ||||
\(202\) | −0.865545 | −0.0608995 | ||||||||
\(203\) | −12.1014 | − | 2.33235i | −0.849350 | − | 0.163699i | ||||
\(204\) | 2.78097 | + | 6.08947i | 0.194707 | + | 0.426348i | ||||
\(205\) | 4.51683 | + | 1.80827i | 0.315469 | + | 0.126295i | ||||
\(206\) | 1.67447 | − | 0.491669i | 0.116666 | − | 0.0342562i | ||||
\(207\) | 0.972481 | + | 4.00862i | 0.0675921 | + | 0.278618i | ||||
\(208\) | 0.634542 | + | 1.83339i | 0.0439976 | + | 0.127123i | ||||
\(209\) | −0.190769 | − | 0.122600i | −0.0131958 | − | 0.00848040i | ||||
\(210\) | −0.732085 | + | 0.844872i | −0.0505187 | + | 0.0583017i | ||||
\(211\) | −9.85501 | + | 0.941039i | −0.678447 | + | 0.0647838i | −0.428590 | − | 0.903499i | \(-0.640990\pi\) |
−0.249857 | + | 0.968283i | \(0.580383\pi\) | |||||||
\(212\) | −3.91323 | + | 16.1306i | −0.268762 | + | 1.10785i | ||||
\(213\) | −0.249748 | − | 5.24286i | −0.0171125 | − | 0.359235i | ||||
\(214\) | 1.73898 | + | 0.896506i | 0.118874 | + | 0.0612839i | ||||
\(215\) | −0.294841 | − | 2.05067i | −0.0201080 | − | 0.139854i | ||||
\(216\) | −1.48615 | − | 1.71510i | −0.101119 | − | 0.116698i | ||||
\(217\) | 12.1587 | + | 11.5933i | 0.825387 | + | 0.787005i | ||||
\(218\) | −10.9316 | + | 4.37636i | −0.740382 | + | 0.296404i | ||||
\(219\) | 3.98799 | − | 3.13619i | 0.269484 | − | 0.211924i | ||||
\(220\) | −0.0613593 | + | 0.177286i | −0.00413684 | + | 0.0119526i | ||||
\(221\) | 4.53684 | + | 0.433216i | 0.305181 | + | 0.0291412i | ||||
\(222\) | 2.64134 | − | 2.51851i | 0.177275 | − | 0.169031i | ||||
\(223\) | −9.30413 | + | 20.3732i | −0.623051 | + | 1.36429i | 0.290229 | + | 0.956957i | \(0.406269\pi\) |
−0.913280 | + | 0.407333i | \(0.866459\pi\) | |||||||
\(224\) | 14.3800 | − | 20.1939i | 0.960803 | − | 1.34926i | ||||
\(225\) | 0.688215 | − | 4.78664i | 0.0458810 | − | 0.319110i | ||||
\(226\) | −3.62374 | + | 2.32884i | −0.241047 | + | 0.154912i | ||||
\(227\) | −14.7538 | − | 11.6025i | −0.979242 | − | 0.770084i | −0.00602679 | − | 0.999982i | \(-0.501918\pi\) |
−0.973215 | + | 0.229898i | \(0.926161\pi\) | |||||||
\(228\) | 1.20790 | + | 0.354673i | 0.0799954 | + | 0.0234888i | ||||
\(229\) | −0.0285418 | + | 0.599166i | −0.00188610 | + | 0.0395940i | −0.999614 | − | 0.0277756i | \(-0.991158\pi\) |
0.997728 | + | 0.0673696i | \(0.0214607\pi\) | |||||||
\(230\) | 0.526246 | − | 0.911486i | 0.0346997 | − | 0.0601016i | ||||
\(231\) | 0.632693 | + | 1.09586i | 0.0416282 | + | 0.0721021i | ||||
\(232\) | −5.67391 | + | 2.92510i | −0.372510 | + | 0.192042i | ||||
\(233\) | 10.4495 | + | 14.6742i | 0.684568 | + | 0.961342i | 0.999924 | + | 0.0123679i | \(0.00393691\pi\) |
−0.315355 | + | 0.948974i | \(0.602124\pi\) | |||||||
\(234\) | −0.675032 | + | 0.130102i | −0.0441282 | + | 0.00850501i | ||||
\(235\) | 3.04896 | − | 0.587640i | 0.198892 | − | 0.0383334i | ||||
\(236\) | 11.0213 | + | 15.4773i | 0.717427 | + | 1.00749i | ||||
\(237\) | −7.25001 | + | 3.73764i | −0.470939 | + | 0.242786i | ||||
\(238\) | −5.76064 | − | 9.97772i | −0.373407 | − | 0.646760i | ||||
\(239\) | 2.83481 | − | 4.91003i | 0.183369 | − | 0.317604i | −0.759657 | − | 0.650324i | \(-0.774633\pi\) |
0.943026 | + | 0.332720i | \(0.107966\pi\) | |||||||
\(240\) | 0.0342631 | − | 0.719270i | 0.00221167 | − | 0.0464287i | ||||
\(241\) | −25.7457 | − | 7.55961i | −1.65842 | − | 0.486957i | −0.687468 | − | 0.726214i | \(-0.741278\pi\) |
−0.970956 | + | 0.239257i | \(0.923096\pi\) | |||||||
\(242\) | 5.40438 | + | 4.25005i | 0.347407 | + | 0.273204i | ||||
\(243\) | −0.841254 | + | 0.540641i | −0.0539664 | + | 0.0346821i | ||||
\(244\) | −1.43928 | + | 10.0104i | −0.0921404 | + | 0.640850i | ||||
\(245\) | −2.86610 | + | 4.02487i | −0.183108 | + | 0.257140i | ||||
\(246\) | 3.14198 | − | 6.87998i | 0.200325 | − | 0.438651i | ||||
\(247\) | 0.620269 | − | 0.591425i | 0.0394668 | − | 0.0376315i | ||||
\(248\) | 8.66251 | + | 0.827169i | 0.550070 | + | 0.0525253i | ||||
\(249\) | 0.100457 | − | 0.290250i | 0.00636617 | − | 0.0183939i | ||||
\(250\) | −1.97274 | + | 1.55138i | −0.124767 | + | 0.0981181i | ||||
\(251\) | −9.81078 | + | 3.92764i | −0.619251 | + | 0.247911i | −0.660008 | − | 0.751258i | \(-0.729447\pi\) |
0.0407572 | + | 0.999169i | \(0.487023\pi\) | |||||||
\(252\) | −5.08408 | − | 4.84766i | −0.320267 | − | 0.305374i | ||||
\(253\) | −0.780151 | − | 0.900342i | −0.0490476 | − | 0.0566040i | ||||
\(254\) | −0.170973 | − | 1.18914i | −0.0107278 | − | 0.0746135i | ||||
\(255\) | −1.50351 | − | 0.775116i | −0.0941538 | − | 0.0485396i | ||||
\(256\) | −0.339796 | − | 7.13320i | −0.0212373 | − | 0.445825i | ||||
\(257\) | −2.36848 | + | 9.76302i | −0.147742 | + | 0.609001i | 0.849003 | + | 0.528387i | \(0.177203\pi\) |
−0.996745 | + | 0.0806134i | \(0.974312\pi\) | |||||||
\(258\) | −3.20609 | + | 0.306144i | −0.199602 | + | 0.0190597i | ||||
\(259\) | 16.6262 | − | 19.1877i | 1.03310 | − | 1.19226i | ||||
\(260\) | −0.596472 | − | 0.383329i | −0.0369916 | − | 0.0237731i | ||||
\(261\) | 0.919996 | + | 2.65816i | 0.0569463 | + | 0.164536i | ||||
\(262\) | 3.02257 | + | 12.4592i | 0.186735 | + | 0.769732i | ||||
\(263\) | 24.7140 | − | 7.25668i | 1.52393 | − | 0.447466i | 0.590743 | − | 0.806859i | \(-0.298835\pi\) |
0.933186 | + | 0.359393i | \(0.117016\pi\) | |||||||
\(264\) | 0.608484 | + | 0.243600i | 0.0374496 | + | 0.0149926i | ||||
\(265\) | −1.74230 | − | 3.81510i | −0.107028 | − | 0.234360i | ||||
\(266\) | −2.12744 | − | 0.410031i | −0.130442 | − | 0.0251406i | ||||
\(267\) | −8.16742 | −0.499838 | ||||||||
\(268\) | −2.74294 | − | 12.8341i | −0.167551 | − | 0.783967i | ||||
\(269\) | −20.8669 | −1.27227 | −0.636137 | − | 0.771576i | \(-0.719469\pi\) | ||||
−0.636137 | + | 0.771576i | \(0.719469\pi\) | |||||||
\(270\) | 0.250545 | + | 0.0482886i | 0.0152477 | + | 0.00293875i | ||||
\(271\) | −8.49882 | − | 18.6098i | −0.516267 | − | 1.13047i | −0.970834 | − | 0.239754i | \(-0.922933\pi\) |
0.454567 | − | 0.890712i | \(-0.349794\pi\) | |||||||
\(272\) | 6.88957 | + | 2.75817i | 0.417742 | + | 0.167239i | ||||
\(273\) | −4.58866 | + | 1.34735i | −0.277718 | + | 0.0815454i | ||||
\(274\) | 0.855182 | + | 3.52511i | 0.0516634 | + | 0.212960i | ||||
\(275\) | 0.456803 | + | 1.31985i | 0.0275463 | + | 0.0795897i | ||||
\(276\) | 5.56374 | + | 3.57560i | 0.334898 | + | 0.215226i | ||||
\(277\) | −7.12955 | + | 8.22794i | −0.428373 | + | 0.494369i | −0.928369 | − | 0.371659i | \(-0.878789\pi\) |
0.499997 | + | 0.866027i | \(0.333335\pi\) | |||||||
\(278\) | 1.66373 | − | 0.158867i | 0.0997837 | − | 0.00952819i | ||||
\(279\) | 0.904003 | − | 3.72635i | 0.0541212 | − | 0.223091i | ||||
\(280\) | 0.191673 | + | 4.02371i | 0.0114546 | + | 0.240462i | ||||
\(281\) | −20.7104 | − | 10.6769i | −1.23548 | − | 0.636932i | −0.288268 | − | 0.957550i | \(-0.593079\pi\) |
−0.947209 | + | 0.320618i | \(0.896110\pi\) | |||||||
\(282\) | −0.686958 | − | 4.77790i | −0.0409078 | − | 0.284520i | ||||
\(283\) | −9.08478 | − | 10.4844i | −0.540034 | − | 0.623232i | 0.418498 | − | 0.908218i | \(-0.362557\pi\) |
−0.958532 | + | 0.284985i | \(0.908011\pi\) | |||||||
\(284\) | −6.09068 | − | 5.80746i | −0.361416 | − | 0.344609i | ||||
\(285\) | −0.295313 | + | 0.118226i | −0.0174929 | + | 0.00700308i | ||||
\(286\) | 0.156068 | − | 0.122733i | 0.00922847 | − | 0.00725735i | ||||
\(287\) | 17.2091 | − | 49.7225i | 1.01582 | − | 2.93503i | ||||
\(288\) | −5.63261 | − | 0.537850i | −0.331905 | − | 0.0316931i | ||||
\(289\) | 0.313443 | − | 0.298867i | 0.0184378 | − | 0.0175804i | ||||
\(290\) | 0.298151 | − | 0.652860i | 0.0175080 | − | 0.0383373i | ||||
\(291\) | −8.00341 | + | 11.2392i | −0.469168 | + | 0.658854i | ||||
\(292\) | 1.15766 | − | 8.05167i | 0.0677467 | − | 0.471188i | ||||
\(293\) | 18.2892 | − | 11.7537i | 1.06847 | − | 0.686661i | 0.116600 | − | 0.993179i | \(-0.462800\pi\) |
0.951865 | + | 0.306518i | \(0.0991640\pi\) | |||||||
\(294\) | 6.03782 | + | 4.74819i | 0.352133 | + | 0.276920i | ||||
\(295\) | −4.60657 | − | 1.35261i | −0.268205 | − | 0.0787520i | ||||
\(296\) | 0.625738 | − | 13.1359i | 0.0363703 | − | 0.763506i | ||||
\(297\) | 0.144406 | − | 0.250119i | 0.00837931 | − | 0.0145134i | ||||
\(298\) | 5.06280 | + | 8.76903i | 0.293280 | + | 0.507976i | ||||
\(299\) | 4.00195 | − | 2.06315i | 0.231439 | − | 0.119315i | ||||
\(300\) | −4.49750 | − | 6.31586i | −0.259664 | − | 0.364646i | ||||
\(301\) | −22.0001 | + | 4.24018i | −1.26807 | + | 0.244400i | ||||
\(302\) | 13.3107 | − | 2.56542i | 0.765944 | − | 0.147624i | ||||
\(303\) | 0.797174 | + | 1.11947i | 0.0457965 | + | 0.0643121i | ||||
\(304\) | 1.24042 | − | 0.639483i | 0.0711432 | − | 0.0366769i | ||||
\(305\) | −1.27772 | − | 2.21308i | −0.0731623 | − | 0.126721i | ||||
\(306\) | −1.31481 | + | 2.27732i | −0.0751629 | + | 0.130186i | ||||
\(307\) | −1.09410 | + | 22.9680i | −0.0624437 | + | 1.31086i | 0.722536 | + | 0.691334i | \(0.242977\pi\) |
−0.784979 | + | 0.619522i | \(0.787327\pi\) | |||||||
\(308\) | 1.94667 | + | 0.571593i | 0.110922 | + | 0.0325695i | ||||
\(309\) | −2.17812 | − | 1.71289i | −0.123909 | − | 0.0974428i | ||||
\(310\) | −0.823066 | + | 0.528953i | −0.0467470 | + | 0.0300425i | ||||
\(311\) | 1.29846 | − | 9.03098i | 0.0736288 | − | 0.512100i | −0.919316 | − | 0.393521i | \(-0.871257\pi\) |
0.992945 | − | 0.118579i | \(-0.0378339\pi\) | |||||||
\(312\) | −1.43688 | + | 2.01782i | −0.0813473 | + | 0.114236i | ||||
\(313\) | 8.25241 | − | 18.0703i | 0.466454 | − | 1.02139i | −0.519515 | − | 0.854461i | \(-0.673887\pi\) |
0.985969 | − | 0.166930i | \(-0.0533854\pi\) | |||||||
\(314\) | −1.53334 | + | 1.46204i | −0.0865316 | + | 0.0825077i | ||||
\(315\) | 1.76699 | + | 0.168727i | 0.0995588 | + | 0.00950671i | ||||
\(316\) | −4.27742 | + | 12.3588i | −0.240624 | + | 0.695237i | ||||
\(317\) | 18.4105 | − | 14.4782i | 1.03404 | − | 0.813175i | 0.0513922 | − | 0.998679i | \(-0.483634\pi\) |
0.982644 | + | 0.185504i | \(0.0593917\pi\) | |||||||
\(318\) | −6.05296 | + | 2.42324i | −0.339433 | + | 0.135889i | ||||
\(319\) | −0.587954 | − | 0.560613i | −0.0329191 | − | 0.0313883i | ||||
\(320\) | 0.00233331 | + | 0.00269278i | 0.000130436 | + | 0.000150531i | ||||
\(321\) | −0.442096 | − | 3.07484i | −0.0246754 | − | 0.171621i | ||||
\(322\) | −10.1169 | − | 5.21563i | −0.563793 | − | 0.290656i | ||||
\(323\) | −0.155989 | − | 3.27460i | −0.00867944 | − | 0.182204i | ||||
\(324\) | −0.378003 | + | 1.55815i | −0.0210001 | + | 0.0865638i | ||||
\(325\) | −5.25461 | + | 0.501754i | −0.291473 | + | 0.0278323i | ||||
\(326\) | −3.90221 | + | 4.50339i | −0.216123 | + | 0.249419i | ||||
\(327\) | 15.7284 | + | 10.1080i | 0.869782 | + | 0.558975i | ||||
\(328\) | −8.91385 | − | 25.7549i | −0.492185 | − | 1.42207i | ||||
\(329\) | −7.91677 | − | 32.6334i | −0.436465 | − | 1.79914i | ||||
\(330\) | −0.0707074 | + | 0.0207616i | −0.00389231 | + | 0.00114289i | ||||
\(331\) | 7.76688 | + | 3.10939i | 0.426907 | + | 0.170908i | 0.575158 | − | 0.818042i | \(-0.304940\pi\) |
−0.148252 | + | 0.988950i | \(0.547365\pi\) | |||||||
\(332\) | −0.204573 | − | 0.447953i | −0.0112274 | − | 0.0245846i | ||||
\(333\) | −5.69007 | − | 1.09667i | −0.311814 | − | 0.0600972i | ||||
\(334\) | −4.96942 | −0.271915 | ||||||||
\(335\) | 2.54945 | + | 2.12068i | 0.139291 | + | 0.115865i | ||||
\(336\) | −7.78738 | −0.424837 | ||||||||
\(337\) | 3.99071 | + | 0.769146i | 0.217388 | + | 0.0418981i | 0.296782 | − | 0.954945i | \(-0.404086\pi\) |
−0.0793943 | + | 0.996843i | \(0.525299\pi\) | |||||||
\(338\) | −3.08948 | − | 6.76503i | −0.168046 | − | 0.367969i | ||||
\(339\) | 6.34955 | + | 2.54198i | 0.344860 | + | 0.138061i | ||||
\(340\) | −2.60228 | + | 0.764100i | −0.141129 | + | 0.0414391i | ||||
\(341\) | 0.261088 | + | 1.07622i | 0.0141387 | + | 0.0582805i | ||||
\(342\) | 0.161737 | + | 0.467308i | 0.00874573 | + | 0.0252691i | ||||
\(343\) | 19.1519 | + | 12.3082i | 1.03410 | + | 0.664579i | ||||
\(344\) | −7.59978 | + | 8.77061i | −0.409753 | + | 0.472880i | ||||
\(345\) | −1.66357 | + | 0.158852i | −0.0895636 | + | 0.00855229i | ||||
\(346\) | −2.91211 | + | 12.0039i | −0.156556 | + | 0.645332i | ||||
\(347\) | 0.196313 | + | 4.12111i | 0.0105386 | + | 0.221233i | 0.997993 | + | 0.0633272i | \(0.0201712\pi\) |
−0.987454 | + | 0.157906i | \(0.949526\pi\) | |||||||
\(348\) | 4.00863 | + | 2.06659i | 0.214885 | + | 0.110781i | ||||
\(349\) | −0.877406 | − | 6.10249i | −0.0469665 | − | 0.326659i | −0.999736 | − | 0.0229655i | \(-0.992689\pi\) |
0.952770 | − | 0.303693i | \(-0.0982199\pi\) | |||||||
\(350\) | 8.73850 | + | 10.0848i | 0.467092 | + | 0.539053i | ||||
\(351\) | 0.789980 | + | 0.753245i | 0.0421660 | + | 0.0402052i | ||||
\(352\) | 1.51711 | − | 0.607360i | 0.0808624 | − | 0.0323724i | ||||
\(353\) | 25.9893 | − | 20.4382i | 1.38327 | − | 1.08782i | 0.397894 | − | 0.917432i | \(-0.369741\pi\) |
0.985378 | − | 0.170385i | \(-0.0545011\pi\) | |||||||
\(354\) | −2.44108 | + | 7.05303i | −0.129742 | + | 0.374864i | ||||
\(355\) | 2.11684 | + | 0.202134i | 0.112350 | + | 0.0107282i | ||||
\(356\) | −9.47743 | + | 9.03671i | −0.502303 | + | 0.478945i | ||||
\(357\) | −7.59934 | + | 16.6402i | −0.402200 | + | 0.880695i | ||||
\(358\) | −5.64681 | + | 7.92983i | −0.298443 | + | 0.419105i | ||||
\(359\) | 3.06600 | − | 21.3245i | 0.161817 | − | 1.12547i | −0.733388 | − | 0.679811i | \(-0.762062\pi\) |
0.895205 | − | 0.445655i | \(-0.147029\pi\) | |||||||
\(360\) | 0.773462 | − | 0.497074i | 0.0407650 | − | 0.0261981i | ||||
\(361\) | 14.4504 | + | 11.3639i | 0.760548 | + | 0.598102i | ||||
\(362\) | 0.417159 | + | 0.122489i | 0.0219254 | + | 0.00643787i | ||||
\(363\) | 0.519432 | − | 10.9042i | 0.0272631 | − | 0.572323i | ||||
\(364\) | −3.83390 | + | 6.64050i | −0.200951 | + | 0.348057i | ||||
\(365\) | 1.02771 | + | 1.78005i | 0.0537929 | + | 0.0931721i | ||||
\(366\) | −3.53099 | + | 1.82035i | −0.184568 | + | 0.0951513i | ||||
\(367\) | 12.4194 | + | 17.4405i | 0.648285 | + | 0.910389i | 0.999666 | − | 0.0258437i | \(-0.00822721\pi\) |
−0.351381 | + | 0.936233i | \(0.614288\pi\) | |||||||
\(368\) | 7.19909 | − | 1.38751i | 0.375279 | − | 0.0723290i | ||||
\(369\) | −11.7922 | + | 2.27276i | −0.613877 | + | 0.118315i | ||||
\(370\) | 0.857659 | + | 1.20441i | 0.0445876 | + | 0.0626145i | ||||
\(371\) | −40.3152 | + | 20.7839i | −2.09306 | + | 1.07905i | ||||
\(372\) | −3.07396 | − | 5.32426i | −0.159377 | − | 0.276050i | ||||
\(373\) | −14.7465 | + | 25.5417i | −0.763546 | + | 1.32250i | 0.177467 | + | 0.984127i | \(0.443210\pi\) |
−0.941012 | + | 0.338373i | \(0.890124\pi\) | |||||||
\(374\) | 0.0361371 | − | 0.758610i | 0.00186860 | − | 0.0392268i | ||||
\(375\) | 3.82343 | + | 1.12266i | 0.197441 | + | 0.0579740i | ||||
\(376\) | −13.6722 | − | 10.7519i | −0.705089 | − | 0.554488i | ||||
\(377\) | 2.58293 | − | 1.65995i | 0.133028 | − | 0.0854916i | ||||
\(378\) | 0.392703 | − | 2.73131i | 0.0201984 | − | 0.140483i | ||||
\(379\) | 2.76535 | − | 3.88340i | 0.142047 | − | 0.199477i | −0.737423 | − | 0.675431i | \(-0.763958\pi\) |
0.879470 | + | 0.475954i | \(0.157897\pi\) | |||||||
\(380\) | −0.211871 | + | 0.463933i | −0.0108688 | + | 0.0237993i | ||||
\(381\) | −1.38054 | + | 1.31634i | −0.0707272 | + | 0.0674383i | ||||
\(382\) | 7.68117 | + | 0.733463i | 0.393003 | + | 0.0375272i | ||||
\(383\) | −1.21831 | + | 3.52007i | −0.0622526 | + | 0.179867i | −0.971838 | − | 0.235650i | \(-0.924278\pi\) |
0.909585 | + | 0.415517i | \(0.136399\pi\) | |||||||
\(384\) | −8.89099 | + | 6.99195i | −0.453717 | + | 0.356807i | ||||
\(385\) | −0.475929 | + | 0.190533i | −0.0242556 | + | 0.00971048i | ||||
\(386\) | 8.15454 | + | 7.77534i | 0.415055 | + | 0.395754i | ||||
\(387\) | 3.34879 | + | 3.86471i | 0.170229 | + | 0.196454i | ||||
\(388\) | 3.14834 | + | 21.8972i | 0.159833 | + | 1.11166i | ||||
\(389\) | 34.5495 | + | 17.8115i | 1.75173 | + | 0.903080i | 0.953861 | + | 0.300248i | \(0.0970696\pi\) |
0.797869 | + | 0.602831i | \(0.205961\pi\) | |||||||
\(390\) | −0.0132521 | − | 0.278196i | −0.000671047 | − | 0.0140870i | ||||
\(391\) | 4.06039 | − | 16.7372i | 0.205343 | − | 0.846435i | ||||
\(392\) | 27.5526 | − | 2.63096i | 1.39162 | − | 0.132883i | ||||
\(393\) | 13.3306 | − | 15.3843i | 0.672440 | − | 0.776037i | ||||
\(394\) | 13.3238 | + | 8.56266i | 0.671241 | + | 0.431380i | ||||
\(395\) | −1.08082 | − | 3.12283i | −0.0543821 | − | 0.157127i | ||||
\(396\) | −0.109172 | − | 0.450013i | −0.00548610 | − | 0.0226140i | ||||
\(397\) | 23.6332 | − | 6.93932i | 1.18611 | − | 0.348275i | 0.371586 | − | 0.928398i | \(-0.378814\pi\) |
0.814528 | + | 0.580124i | \(0.196996\pi\) | |||||||
\(398\) | −6.11941 | − | 2.44984i | −0.306738 | − | 0.122799i | ||||
\(399\) | 1.42907 | + | 3.12922i | 0.0715428 | + | 0.156657i | ||||
\(400\) | −8.43994 | − | 1.62666i | −0.421997 | − | 0.0813332i | ||||
\(401\) | −10.1002 | −0.504381 | −0.252191 | − | 0.967678i | \(-0.581151\pi\) | ||||
−0.252191 | + | 0.967678i | \(0.581151\pi\) | |||||||
\(402\) | 3.48157 | − | 3.80192i | 0.173645 | − | 0.189623i | ||||
\(403\) | −4.18542 | −0.208491 | ||||||||
\(404\) | 2.16366 | + | 0.417012i | 0.107646 | + | 0.0207471i | ||||
\(405\) | −0.168299 | − | 0.368523i | −0.00836284 | − | 0.0183121i | ||||
\(406\) | −7.20580 | − | 2.88477i | −0.357618 | − | 0.143168i | ||||
\(407\) | 1.60582 | − | 0.471511i | 0.0795974 | − | 0.0233719i | ||||
\(408\) | 2.23392 | + | 9.20836i | 0.110596 | + | 0.455882i | ||||
\(409\) | −12.6777 | − | 36.6299i | −0.626873 | − | 1.81123i | −0.583413 | − | 0.812176i | \(-0.698283\pi\) |
−0.0434605 | − | 0.999055i | \(-0.513838\pi\) | |||||||
\(410\) | 2.57779 | + | 1.65664i | 0.127308 | + | 0.0818159i | ||||
\(411\) | 3.77166 | − | 4.35273i | 0.186042 | − | 0.214704i | ||||
\(412\) | −4.42267 | + | 0.422314i | −0.217889 | + | 0.0208059i | ||||
\(413\) | −12.2408 | + | 50.4574i | −0.602333 | + | 2.48285i | ||||
\(414\) | 0.123612 | + | 2.59494i | 0.00607522 | + | 0.127534i | ||||
\(415\) | 0.110601 | + | 0.0570190i | 0.00542921 | + | 0.00279895i | ||||
\(416\) | 0.878959 | + | 6.11329i | 0.0430945 | + | 0.299729i | ||||
\(417\) | −1.73778 | − | 2.00551i | −0.0850995 | − | 0.0982100i | ||||
\(418\) | −0.103363 | − | 0.0985568i | −0.00505567 | − | 0.00482057i | ||||
\(419\) | −10.3202 | + | 4.13160i | −0.504177 | + | 0.201842i | −0.609786 | − | 0.792566i | \(-0.708745\pi\) |
0.105610 | + | 0.994408i | \(0.466321\pi\) | |||||||
\(420\) | 2.23709 | − | 1.75927i | 0.109159 | − | 0.0858436i | ||||
\(421\) | 10.3793 | − | 29.9889i | 0.505854 | − | 1.46157i | −0.346223 | − | 0.938152i | \(-0.612536\pi\) |
0.852077 | − | 0.523417i | \(-0.175343\pi\) | |||||||
\(422\) | −6.20675 | − | 0.592673i | −0.302140 | − | 0.0288508i | ||||
\(423\) | −5.54692 | + | 5.28898i | −0.269701 | + | 0.257159i | ||||
\(424\) | −9.75969 | + | 21.3707i | −0.473972 | + | 1.03785i | ||||
\(425\) | −11.7120 | + | 16.4472i | −0.568117 | + | 0.797808i | ||||
\(426\) | 0.470455 | − | 3.27208i | 0.0227936 | − | 0.158533i | ||||
\(427\) | −23.2488 | + | 14.9411i | −1.12509 | + | 0.723052i | ||||
\(428\) | −3.91511 | − | 3.07888i | −0.189244 | − | 0.148823i | ||||
\(429\) | −0.302479 | − | 0.0888159i | −0.0146038 | − | 0.00428807i | ||||
\(430\) | 0.0620851 | − | 1.30333i | 0.00299401 | − | 0.0628520i | ||||
\(431\) | −16.3607 | + | 28.3375i | −0.788067 | + | 1.36497i | 0.139083 | + | 0.990281i | \(0.455584\pi\) |
−0.927150 | + | 0.374691i | \(0.877749\pi\) | |||||||
\(432\) | 0.888700 | + | 1.53927i | 0.0427576 | + | 0.0740583i | ||||
\(433\) | −8.63410 | + | 4.45119i | −0.414929 | + | 0.213911i | −0.653034 | − | 0.757329i | \(-0.726504\pi\) |
0.238105 | + | 0.971239i | \(0.423474\pi\) | |||||||
\(434\) | 6.13742 | + | 8.61880i | 0.294606 | + | 0.413716i | ||||
\(435\) | −1.11899 | + | 0.215668i | −0.0536516 | + | 0.0103405i | ||||
\(436\) | 29.4350 | − | 5.67313i | 1.40968 | − | 0.271694i | ||||
\(437\) | −1.87866 | − | 2.63820i | −0.0898683 | − | 0.126202i | ||||
\(438\) | 2.84008 | − | 1.46416i | 0.135704 | − | 0.0699605i | ||||
\(439\) | 4.15991 | + | 7.20518i | 0.198542 | + | 0.343884i | 0.948056 | − | 0.318104i | \(-0.103046\pi\) |
−0.749514 | + | 0.661988i | \(0.769713\pi\) | |||||||
\(440\) | −0.132770 | + | 0.229964i | −0.00632954 | + | 0.0109631i | ||||
\(441\) | 0.580314 | − | 12.1823i | 0.0276340 | − | 0.580109i | ||||
\(442\) | 2.75406 | + | 0.808665i | 0.130997 | + | 0.0384643i | ||||
\(443\) | 0.0625257 | + | 0.0491708i | 0.00297069 | + | 0.00233617i | 0.619643 | − | 0.784884i | \(-0.287277\pi\) |
−0.616673 | + | 0.787220i | \(0.711520\pi\) | |||||||
\(444\) | −7.81613 | + | 5.02312i | −0.370937 | + | 0.238387i | ||||
\(445\) | 0.470906 | − | 3.27522i | 0.0223231 | − | 0.155261i | ||||
\(446\) | −8.18222 | + | 11.4903i | −0.387440 | + | 0.544083i | ||||
\(447\) | 6.67876 | − | 14.6244i | 0.315895 | − | 0.691712i | ||||
\(448\) | 0.0278875 | − | 0.0265907i | 0.00131756 | − | 0.00125629i | ||||
\(449\) | 17.1341 | + | 1.63611i | 0.808609 | + | 0.0772128i | 0.491167 | − | 0.871065i | \(-0.336570\pi\) |
0.317441 | + | 0.948278i | \(0.397176\pi\) | |||||||
\(450\) | 0.996138 | − | 2.87815i | 0.0469584 | − | 0.135677i | ||||
\(451\) | 2.72636 | − | 2.14403i | 0.128379 | − | 0.100958i | ||||
\(452\) | 10.1805 | − | 4.07566i | 0.478851 | − | 0.191703i | ||||
\(453\) | −15.5773 | − | 14.8529i | −0.731886 | − | 0.697852i | ||||
\(454\) | −7.74118 | − | 8.93379i | −0.363311 | − | 0.419284i | ||||
\(455\) | −0.275736 | − | 1.91778i | −0.0129267 | − | 0.0899071i | ||||
\(456\) | 1.58379 | + | 0.816501i | 0.0741678 | + | 0.0382362i | ||||
\(457\) | −0.0823772 | − | 1.72931i | −0.00385344 | − | 0.0808937i | 0.996121 | − | 0.0879897i | \(-0.0280443\pi\) |
−0.999975 | + | 0.00709604i | \(0.997741\pi\) | |||||||
\(458\) | −0.0890666 | + | 0.367137i | −0.00416181 | + | 0.0171552i | ||||
\(459\) | 4.15639 | − | 0.396887i | 0.194004 | − | 0.0185251i | ||||
\(460\) | −1.75464 | + | 2.02496i | −0.0818104 | + | 0.0944143i | ||||
\(461\) | −11.1284 | − | 7.15177i | −0.518300 | − | 0.333091i | 0.255199 | − | 0.966888i | \(-0.417859\pi\) |
−0.773499 | + | 0.633798i | \(0.781495\pi\) | |||||||
\(462\) | 0.260656 | + | 0.753117i | 0.0121268 | + | 0.0350382i | ||||
\(463\) | −0.134536 | − | 0.554564i | −0.00625240 | − | 0.0257728i | 0.968600 | − | 0.248625i | \(-0.0799785\pi\) |
−0.974852 | + | 0.222852i | \(0.928463\pi\) | |||||||
\(464\) | 4.79706 | − | 1.40854i | 0.222698 | − | 0.0653900i | ||||
\(465\) | 1.44219 | + | 0.577364i | 0.0668797 | + | 0.0267746i | ||||
\(466\) | 4.71317 | + | 10.3204i | 0.218334 | + | 0.478084i | ||||
\(467\) | −36.8756 | − | 7.10720i | −1.70640 | − | 0.328882i | −0.759525 | − | 0.650478i | \(-0.774568\pi\) |
−0.946877 | + | 0.321596i | \(0.895781\pi\) | |||||||
\(468\) | 1.75010 | 0.0808986 | ||||||||
\(469\) | 21.5963 | − | 28.6311i | 0.997222 | − | 1.32206i | ||||
\(470\) | 1.95560 | 0.0902050 | ||||||||
\(471\) | 3.30319 | + | 0.636637i | 0.152203 | + | 0.0293347i | ||||
\(472\) | 11.1720 | + | 24.4633i | 0.514234 | + | 1.12601i | ||||
\(473\) | −1.37112 | − | 0.548914i | −0.0630442 | − | 0.0252391i | ||||
\(474\) | −4.92908 | + | 1.44731i | −0.226400 | + | 0.0664771i | ||||
\(475\) | 0.895172 | + | 3.68995i | 0.0410733 | + | 0.169306i | ||||
\(476\) | 9.59309 | + | 27.7174i | 0.439698 | + | 1.27043i | ||||
\(477\) | 8.70899 | + | 5.59693i | 0.398757 | + | 0.256266i | ||||
\(478\) | 2.33835 | − | 2.69860i | 0.106954 | − | 0.123431i | ||||
\(479\) | 5.31128 | − | 0.507166i | 0.242678 | − | 0.0231730i | 0.0269920 | − | 0.999636i | \(-0.491407\pi\) |
0.215686 | + | 0.976463i | \(0.430801\pi\) | |||||||
\(480\) | 0.540441 | − | 2.22773i | 0.0246676 | − | 0.101681i | ||||
\(481\) | 0.300966 | + | 6.31805i | 0.0137229 | + | 0.288078i | ||||
\(482\) | −15.0207 | − | 7.74372i | −0.684175 | − | 0.352717i | ||||
\(483\) | 2.57199 | + | 17.8886i | 0.117030 | + | 0.813959i | ||||
\(484\) | −11.4621 | − | 13.2279i | −0.521003 | − | 0.601269i | ||||
\(485\) | −4.04559 | − | 3.85747i | −0.183701 | − | 0.175159i | ||||
\(486\) | −0.584692 | + | 0.234075i | −0.0265222 | + | 0.0106179i | ||||
\(487\) | 29.8761 | − | 23.4948i | 1.35382 | − | 1.06465i | 0.362665 | − | 0.931920i | \(-0.381867\pi\) |
0.991152 | − | 0.132733i | \(-0.0423754\pi\) | |||||||
\(488\) | −4.68186 | + | 13.5274i | −0.211938 | + | 0.612355i | ||||
\(489\) | 9.41853 | + | 0.899361i | 0.425921 | + | 0.0406705i | ||||
\(490\) | −2.25220 | + | 2.14747i | −0.101744 | + | 0.0970126i | ||||
\(491\) | −11.2055 | + | 24.5367i | −0.505698 | + | 1.10733i | 0.468877 | + | 0.883264i | \(0.344659\pi\) |
−0.974575 | + | 0.224061i | \(0.928068\pi\) | |||||||
\(492\) | −11.1689 | + | 15.6846i | −0.503534 | + | 0.707115i | ||||
\(493\) | 1.67142 | − | 11.6250i | 0.0752770 | − | 0.523563i | ||||
\(494\) | 0.454083 | − | 0.291821i | 0.0204302 | − | 0.0131297i | ||||
\(495\) | 0.0919745 | + | 0.0723296i | 0.00413395 | + | 0.00325097i | ||||
\(496\) | −6.53926 | − | 1.92010i | −0.293621 | − | 0.0862150i | ||||
\(497\) | 1.09423 | − | 22.9707i | 0.0490830 | − | 1.03038i | ||||
\(498\) | 0.0967202 | − | 0.167524i | 0.00433414 | − | 0.00750694i | ||||
\(499\) | 9.34568 | + | 16.1872i | 0.418370 | + | 0.724638i | 0.995776 | − | 0.0918194i | \(-0.0292682\pi\) |
−0.577406 | + | 0.816457i | \(0.695935\pi\) | |||||||
\(500\) | 5.67884 | − | 2.92765i | 0.253966 | − | 0.130928i | ||||
\(501\) | 4.57688 | + | 6.42732i | 0.204480 | + | 0.287152i | ||||
\(502\) | −6.53537 | + | 1.25959i | −0.291688 | + | 0.0562183i | ||||
\(503\) | −3.70145 | + | 0.713396i | −0.165039 | + | 0.0318087i | −0.271101 | − | 0.962551i | \(-0.587388\pi\) |
0.106062 | + | 0.994360i | \(0.466176\pi\) | |||||||
\(504\) | −5.76753 | − | 8.09936i | −0.256906 | − | 0.360774i | ||||
\(505\) | −0.494884 | + | 0.255130i | −0.0220220 | + | 0.0113531i | ||||
\(506\) | −0.375151 | − | 0.649781i | −0.0166775 | − | 0.0288863i | ||||
\(507\) | −5.90428 | + | 10.2265i | −0.262218 | + | 0.454175i | ||||
\(508\) | −0.145525 | + | 3.05495i | −0.00645665 | + | 0.135542i | ||||
\(509\) | 18.7610 | + | 5.50874i | 0.831568 | + | 0.244171i | 0.669691 | − | 0.742640i | \(-0.266427\pi\) |
0.161878 | + | 0.986811i | \(0.448245\pi\) | |||||||
\(510\) | −0.837424 | − | 0.658557i | −0.0370818 | − | 0.0291614i | ||||
\(511\) | 18.6998 | − | 12.0176i | 0.827228 | − | 0.531627i | ||||
\(512\) | −2.57935 | + | 17.9398i | −0.113992 | + | 0.792833i | ||||
\(513\) | 0.455443 | − | 0.639581i | 0.0201083 | − | 0.0282382i | ||||
\(514\) | −2.62840 | + | 5.75539i | −0.115934 | + | 0.253860i | ||||
\(515\) | 0.812470 | − | 0.774688i | 0.0358017 | − | 0.0341368i | ||||
\(516\) | 8.16197 | + | 0.779373i | 0.359311 | + | 0.0343100i | ||||
\(517\) | 0.723982 | − | 2.09181i | 0.0318407 | − | 0.0919976i | ||||
\(518\) | 12.5691 | − | 9.88443i | 0.552254 | − | 0.434297i | ||||
\(519\) | 18.2076 | − | 7.28921i | 0.799224 | − | 0.319961i | ||||
\(520\) | −0.726320 | − | 0.692545i | −0.0318512 | − | 0.0303701i | ||||
\(521\) | −14.7399 | − | 17.0107i | −0.645766 | − | 0.745253i | 0.334618 | − | 0.942354i | \(-0.391393\pi\) |
−0.980383 | + | 0.197101i | \(0.936847\pi\) | |||||||
\(522\) | 0.252119 | + | 1.75353i | 0.0110349 | + | 0.0767497i | ||||
\(523\) | −7.76923 | − | 4.00532i | −0.339725 | − | 0.175140i | 0.279919 | − | 0.960024i | \(-0.409692\pi\) |
−0.619643 | + | 0.784883i | \(0.712723\pi\) | |||||||
\(524\) | −1.55299 | − | 32.6013i | −0.0678428 | − | 1.42420i | ||||
\(525\) | 4.99516 | − | 20.5903i | 0.218006 | − | 0.898635i | ||||
\(526\) | 16.1487 | − | 1.54201i | 0.704116 | − | 0.0672349i | ||||
\(527\) | −10.4843 | + | 12.0995i | −0.456702 | + | 0.527062i | ||||
\(528\) | −0.431846 | − | 0.277530i | −0.0187937 | − | 0.0120780i | ||||
\(529\) | 1.95758 | + | 5.65606i | 0.0851122 | + | 0.245916i | ||||
\(530\) | −0.622752 | − | 2.56702i | −0.0270506 | − | 0.111504i | ||||
\(531\) | 11.3705 | − | 3.33867i | 0.493436 | − | 0.144886i | ||||
\(532\) | 5.12056 | + | 2.04996i | 0.222004 | + | 0.0888771i | ||||
\(533\) | 5.44545 | + | 11.9239i | 0.235869 | + | 0.516480i | ||||
\(534\) | −5.05094 | − | 0.973489i | −0.218575 | − | 0.0421270i | ||||
\(535\) | 1.25853 | 0.0544112 | ||||||||
\(536\) | −0.374378 | − | 18.5721i | −0.0161707 | − | 0.802194i | ||||
\(537\) | 15.4570 | 0.667019 | ||||||||
\(538\) | −12.9046 | − | 2.48715i | −0.556356 | − | 0.107229i | ||||
\(539\) | 1.46325 | + | 3.20408i | 0.0630268 | + | 0.138010i | ||||
\(540\) | −0.603040 | − | 0.241421i | −0.0259507 | − | 0.0103891i | ||||
\(541\) | −11.7519 | + | 3.45067i | −0.505254 | + | 0.148356i | −0.524419 | − | 0.851461i | \(-0.675717\pi\) |
0.0191652 | + | 0.999816i | \(0.493899\pi\) | |||||||
\(542\) | −3.03775 | − | 12.5218i | −0.130482 | − | 0.537856i | ||||
\(543\) | −0.225782 | − | 0.652356i | −0.00968925 | − | 0.0279953i | ||||
\(544\) | 19.8745 | + | 12.7725i | 0.852110 | + | 0.547618i | ||||
\(545\) | −4.96027 | + | 5.72446i | −0.212475 | + | 0.245209i | ||||
\(546\) | −2.99833 | + | 0.286306i | −0.128317 | + | 0.0122528i | ||||
\(547\) | −0.965759 | + | 3.98091i | −0.0412929 | + | 0.170212i | −0.988724 | − | 0.149747i | \(-0.952154\pi\) |
0.947431 | + | 0.319959i | \(0.103669\pi\) | |||||||
\(548\) | −0.439392 | − | 9.22397i | −0.0187699 | − | 0.394028i | ||||
\(549\) | 5.60647 | + | 2.89034i | 0.239278 | + | 0.123356i | ||||
\(550\) | 0.125184 | + | 0.870672i | 0.00533785 | + | 0.0371256i | ||||
\(551\) | −1.44631 | − | 1.66913i | −0.0616148 | − | 0.0711073i | ||||
\(552\) | 6.77493 | + | 6.45988i | 0.288360 | + | 0.274951i | ||||
\(553\) | −33.1775 | + | 13.2823i | −1.41085 | + | 0.564820i | ||||
\(554\) | −5.38979 | + | 4.23858i | −0.228990 | + | 0.180080i | ||||
\(555\) | 0.767848 | − | 2.21855i | 0.0325933 | − | 0.0941722i | ||||
\(556\) | −4.23547 | − | 0.404438i | −0.179624 | − | 0.0171520i | ||||
\(557\) | 7.63992 | − | 7.28465i | 0.323714 | − | 0.308660i | −0.510744 | − | 0.859733i | \(-0.670630\pi\) |
0.834457 | + | 0.551073i | \(0.185781\pi\) | |||||||
\(558\) | 1.00321 | − | 2.19672i | 0.0424692 | − | 0.0929945i | ||||
\(559\) | 3.23778 | − | 4.54682i | 0.136943 | − | 0.192310i | ||||
\(560\) | 0.448994 | − | 3.12282i | 0.0189735 | − | 0.131963i | ||||
\(561\) | −1.01445 | + | 0.651947i | −0.0428301 | + | 0.0275252i | ||||
\(562\) | −11.5352 | − | 9.07138i | −0.486583 | − | 0.382653i | ||||
\(563\) | −28.4180 | − | 8.34427i | −1.19768 | − | 0.351669i | −0.378712 | − | 0.925515i | \(-0.623633\pi\) |
−0.818964 | + | 0.573845i | \(0.805451\pi\) | |||||||
\(564\) | −0.584712 | + | 12.2746i | −0.0246208 | + | 0.516854i | ||||
\(565\) | −1.38545 | + | 2.39968i | −0.0582865 | + | 0.100955i | ||||
\(566\) | −4.36860 | − | 7.56664i | −0.183626 | − | 0.318050i | ||||
\(567\) | −3.89429 | + | 2.00764i | −0.163545 | + | 0.0843131i | ||||
\(568\) | −6.90945 | − | 9.70297i | −0.289914 | − | 0.407128i | ||||
\(569\) | −38.7132 | + | 7.46135i | −1.62294 | + | 0.312796i | −0.918033 | − | 0.396503i | \(-0.870224\pi\) |
−0.704907 | + | 0.709299i | \(0.749011\pi\) | |||||||
\(570\) | −0.196721 | + | 0.0379148i | −0.00823972 | + | 0.00158808i | ||||
\(571\) | −9.59288 | − | 13.4713i | −0.401449 | − | 0.563757i | 0.563526 | − | 0.826099i | \(-0.309445\pi\) |
−0.964975 | + | 0.262342i | \(0.915505\pi\) | |||||||
\(572\) | −0.449264 | + | 0.231612i | −0.0187847 | + | 0.00968418i | ||||
\(573\) | −6.12578 | − | 10.6102i | −0.255908 | − | 0.443246i | ||||
\(574\) | 16.5691 | − | 28.6985i | 0.691579 | − | 1.19785i | ||||
\(575\) | −0.949137 | + | 19.9248i | −0.0395818 | + | 0.830924i | ||||
\(576\) | −0.00843852 | − | 0.00247777i | −0.000351605 | − | 0.000103240i | ||||
\(577\) | 20.0358 | + | 15.7563i | 0.834100 | + | 0.655944i | 0.941030 | − | 0.338323i | \(-0.109860\pi\) |
−0.106930 | + | 0.994267i | \(0.534102\pi\) | |||||||
\(578\) | 0.229463 | − | 0.147467i | 0.00954442 | − | 0.00613382i | ||||
\(579\) | 2.54603 | − | 17.7080i | 0.105809 | − | 0.735920i | ||||
\(580\) | −1.05985 | + | 1.48835i | −0.0440079 | + | 0.0618004i | ||||
\(581\) | 0.559022 | − | 1.22409i | 0.0231921 | − | 0.0507837i | ||||
\(582\) | −6.28913 | + | 5.99667i | −0.260693 | + | 0.248570i | ||||
\(583\) | −2.97637 | − | 0.284209i | −0.123269 | − | 0.0117707i | ||||
\(584\) | 3.76577 | − | 10.8805i | 0.155828 | − | 0.450237i | ||||
\(585\) | −0.347607 | + | 0.273361i | −0.0143718 | + | 0.0113021i | ||||
\(586\) | 12.7114 | − | 5.08889i | 0.525104 | − | 0.210220i | ||||
\(587\) | −3.77612 | − | 3.60052i | −0.155857 | − | 0.148609i | 0.608138 | − | 0.793831i | \(-0.291917\pi\) |
−0.763995 | + | 0.645222i | \(0.776765\pi\) | |||||||
\(588\) | −12.8055 | − | 14.7783i | −0.528090 | − | 0.609449i | ||||
\(589\) | 0.428465 | + | 2.98004i | 0.0176546 | + | 0.122791i | ||||
\(590\) | −2.68760 | − | 1.38555i | −0.110647 | − | 0.0570423i | ||||
\(591\) | −1.19656 | − | 25.1189i | −0.0492199 | − | 1.03325i | ||||
\(592\) | −2.42824 | + | 10.0093i | −0.0997999 | + | 0.411381i | ||||
\(593\) | 32.9347 | − | 3.14488i | 1.35246 | − | 0.129145i | 0.606475 | − | 0.795102i | \(-0.292583\pi\) |
0.745990 | + | 0.665958i | \(0.231977\pi\) | |||||||
\(594\) | 0.119117 | − | 0.137468i | 0.00488742 | − | 0.00564038i | ||||
\(595\) | −6.23476 | − | 4.00684i | −0.255600 | − | 0.164264i | ||||
\(596\) | −8.43099 | − | 24.3597i | −0.345347 | − | 0.997814i | ||||
\(597\) | 2.46746 | + | 10.1710i | 0.100986 | + | 0.416272i | ||||
\(598\) | 2.72081 | − | 0.798903i | 0.111262 | − | 0.0326696i | ||||
\(599\) | −5.74594 | − | 2.30033i | −0.234773 | − | 0.0939887i | 0.251293 | − | 0.967911i | \(-0.419144\pi\) |
−0.486066 | + | 0.873922i | \(0.661568\pi\) | |||||||
\(600\) | −4.55900 | − | 9.98281i | −0.186120 | − | 0.407546i | ||||
\(601\) | 4.80056 | + | 0.925232i | 0.195819 | + | 0.0377410i | 0.286218 | − | 0.958165i | \(-0.407602\pi\) |
−0.0903986 | + | 0.995906i | \(0.528814\pi\) | |||||||
\(602\) | −14.1108 | −0.575115 | ||||||||
\(603\) | −8.12387 | − | 1.00137i | −0.330830 | − | 0.0407790i | ||||
\(604\) | −34.5096 | −1.40418 | ||||||||
\(605\) | 4.34276 | + | 0.836999i | 0.176558 | + | 0.0340288i | ||||
\(606\) | 0.359560 | + | 0.787328i | 0.0146061 | + | 0.0319830i | ||||
\(607\) | 6.66157 | + | 2.66689i | 0.270385 | + | 0.108246i | 0.502893 | − | 0.864349i | \(-0.332269\pi\) |
−0.232508 | + | 0.972594i | \(0.574693\pi\) | |||||||
\(608\) | 4.26272 | − | 1.25165i | 0.172876 | − | 0.0507610i | ||||
\(609\) | 2.90551 | + | 11.9767i | 0.117737 | + | 0.485320i | ||||
\(610\) | −0.526396 | − | 1.52092i | −0.0213131 | − | 0.0615803i | ||||
\(611\) | 7.03780 | + | 4.52292i | 0.284719 | + | 0.182978i | ||||
\(612\) | 4.38392 | − | 5.05932i | 0.177210 | − | 0.204511i | ||||
\(613\) | −30.7779 | + | 2.93894i | −1.24311 | + | 0.118702i | −0.695804 | − | 0.718231i | \(-0.744952\pi\) |
−0.547304 | + | 0.836934i | \(0.684346\pi\) | |||||||
\(614\) | −3.41422 | + | 14.0736i | −0.137787 | + | 0.567964i | ||||
\(615\) | −0.231502 | − | 4.85983i | −0.00933508 | − | 0.195967i | ||||
\(616\) | 2.55245 | + | 1.31588i | 0.102841 | + | 0.0530183i | ||||
\(617\) | −2.20544 | − | 15.3392i | −0.0887876 | − | 0.617531i | −0.984825 | − | 0.173552i | \(-0.944476\pi\) |
0.896037 | − | 0.443979i | \(-0.146434\pi\) | |||||||
\(618\) | −1.14284 | − | 1.31891i | −0.0459717 | − | 0.0530542i | ||||
\(619\) | 3.14850 | + | 3.00209i | 0.126549 | + | 0.120664i | 0.750711 | − | 0.660631i | \(-0.229711\pi\) |
−0.624162 | + | 0.781295i | \(0.714560\pi\) | |||||||
\(620\) | 2.31232 | − | 0.925713i | 0.0928650 | − | 0.0371775i | ||||
\(621\) | 3.24239 | − | 2.54984i | 0.130112 | − | 0.102322i | ||||
\(622\) | 1.87942 | − | 5.43022i | 0.0753577 | − | 0.217732i | ||||
\(623\) | −35.6222 | − | 3.40151i | −1.42717 | − | 0.136278i | ||||
\(624\) | 1.40411 | − | 1.33882i | 0.0562094 | − | 0.0535955i | ||||
\(625\) | 9.37381 | − | 20.5258i | 0.374952 | − | 0.821031i | ||||
\(626\) | 7.25732 | − | 10.1915i | 0.290061 | − | 0.407334i | ||||
\(627\) | −0.0322724 | + | 0.224459i | −0.00128883 | + | 0.00896404i | ||||
\(628\) | 4.53740 | − | 2.91601i | 0.181062 | − | 0.116361i | ||||
\(629\) | 19.0185 | + | 14.9563i | 0.758319 | + | 0.596348i | ||||
\(630\) | 1.07264 | + | 0.314956i | 0.0427351 | + | 0.0125481i | ||||
\(631\) | 1.20965 | − | 25.3936i | 0.0481552 | − | 1.01090i | −0.837465 | − | 0.546491i | \(-0.815963\pi\) |
0.885620 | − | 0.464411i | \(-0.153734\pi\) | |||||||
\(632\) | −9.25551 | + | 16.0310i | −0.368164 | + | 0.637679i | ||||
\(633\) | 4.94992 | + | 8.57351i | 0.196742 | + | 0.340766i | ||||
\(634\) | 13.1112 | − | 6.75928i | 0.520711 | − | 0.268445i | ||||
\(635\) | −0.448270 | − | 0.629508i | −0.0177891 | − | 0.0249812i | ||||
\(636\) | 16.2985 | − | 3.14128i | 0.646277 | − | 0.124560i | ||||
\(637\) | −13.0719 | + | 2.51940i | −0.517927 | + | 0.0998223i | ||||
\(638\) | −0.296785 | − | 0.416777i | −0.0117498 | − | 0.0165003i | ||||
\(639\) | −4.66532 | + | 2.40514i | −0.184557 | + | 0.0951459i | ||||
\(640\) | −2.29122 | − | 3.96852i | −0.0905686 | − | 0.156869i | ||||
\(641\) | 10.5375 | − | 18.2515i | 0.416205 | − | 0.720889i | −0.579349 | − | 0.815080i | \(-0.696693\pi\) |
0.995554 | + | 0.0941908i | \(0.0300264\pi\) | |||||||
\(642\) | 0.0930926 | − | 1.95425i | 0.00367407 | − | 0.0771282i | ||||
\(643\) | 16.5630 | + | 4.86334i | 0.653181 | + | 0.191791i | 0.591500 | − | 0.806305i | \(-0.298536\pi\) |
0.0616806 | + | 0.998096i | \(0.480354\pi\) | |||||||
\(644\) | 22.7771 | + | 17.9121i | 0.897543 | + | 0.705835i | ||||
\(645\) | −1.74287 | + | 1.12008i | −0.0686255 | + | 0.0441029i | ||||
\(646\) | 0.293838 | − | 2.04369i | 0.0115609 | − | 0.0804079i | ||||
\(647\) | −16.3366 | + | 22.9416i | −0.642259 | + | 0.901927i | −0.999485 | − | 0.0320910i | \(-0.989783\pi\) |
0.357226 | + | 0.934018i | \(0.383723\pi\) | |||||||
\(648\) | −0.942747 | + | 2.06433i | −0.0370346 | + | 0.0810944i | ||||
\(649\) | −2.47704 | + | 2.36185i | −0.0972321 | + | 0.0927107i | ||||
\(650\) | −3.30939 | − | 0.316008i | −0.129805 | − | 0.0123949i | ||||
\(651\) | 5.49473 | − | 15.8760i | 0.215355 | − | 0.622229i | ||||
\(652\) | 11.9243 | − | 9.37737i | 0.466991 | − | 0.367246i | ||||
\(653\) | 13.2689 | − | 5.31208i | 0.519254 | − | 0.207878i | −0.0972059 | − | 0.995264i | \(-0.530991\pi\) |
0.616460 | + | 0.787386i | \(0.288566\pi\) | |||||||
\(654\) | 8.52203 | + | 8.12574i | 0.333238 | + | 0.317742i | ||||
\(655\) | 5.40069 | + | 6.23272i | 0.211022 | + | 0.243533i | ||||
\(656\) | 3.03773 | + | 21.1279i | 0.118604 | + | 0.824906i | ||||
\(657\) | −4.50945 | − | 2.32478i | −0.175930 | − | 0.0906985i | ||||
\(658\) | −1.00630 | − | 21.1249i | −0.0392298 | − | 0.823534i | ||||
\(659\) | −11.6888 | + | 48.1818i | −0.455330 | + | 1.87690i | 0.0247859 | + | 0.999693i | \(0.492110\pi\) |
−0.480116 | + | 0.877205i | \(0.659406\pi\) | |||||||
\(660\) | 0.186755 | − | 0.0178329i | 0.00726942 | − | 0.000694145i | ||||
\(661\) | 23.0477 | − | 26.5985i | 0.896451 | − | 1.03456i | −0.102754 | − | 0.994707i | \(-0.532766\pi\) |
0.999206 | − | 0.0398531i | \(-0.0126890\pi\) | |||||||
\(662\) | 4.43262 | + | 2.84867i | 0.172279 | + | 0.110717i | ||||
\(663\) | −1.49060 | − | 4.30682i | −0.0578903 | − | 0.167263i | ||||
\(664\) | −0.164332 | − | 0.677384i | −0.00637730 | − | 0.0262876i | ||||
\(665\) | −1.33725 | + | 0.392651i | −0.0518562 | + | 0.0152264i | ||||
\(666\) | −3.38817 | − | 1.35642i | −0.131289 | − | 0.0525602i | ||||
\(667\) | −4.81996 | − | 10.5542i | −0.186630 | − | 0.408662i | ||||
\(668\) | 12.4224 | + | 2.39422i | 0.480637 | + | 0.0926351i | ||||
\(669\) | 22.3972 | 0.865926 | ||||||||
\(670\) | 1.32388 | + | 1.61535i | 0.0511458 | + | 0.0624065i | ||||
\(671\) | −1.82173 | −0.0703272 | ||||||||
\(672\) | −24.3426 | − | 4.69166i | −0.939037 | − | 0.180985i | ||||
\(673\) | 3.65866 | + | 8.01135i | 0.141031 | + | 0.308815i | 0.966947 | − | 0.254979i | \(-0.0820685\pi\) |
−0.825916 | + | 0.563794i | \(0.809341\pi\) | |||||||
\(674\) | 2.37628 | + | 0.951319i | 0.0915309 | + | 0.0366434i | ||||
\(675\) | −4.63998 | + | 1.36242i | −0.178593 | + | 0.0524396i | ||||
\(676\) | 4.46366 | + | 18.3995i | 0.171679 | + | 0.707672i | ||||
\(677\) | −7.50666 | − | 21.6891i | −0.288504 | − | 0.833579i | −0.992376 | − | 0.123251i | \(-0.960668\pi\) |
0.703871 | − | 0.710328i | \(-0.251453\pi\) | |||||||
\(678\) | 3.62374 | + | 2.32884i | 0.139169 | + | 0.0894384i | ||||
\(679\) | −39.5877 | + | 45.6866i | −1.51923 | + | 1.75329i | ||||
\(680\) | −3.82145 | + | 0.364904i | −0.146546 | + | 0.0139934i | ||||
\(681\) | −4.42506 | + | 18.2403i | −0.169569 | + | 0.698971i | ||||
\(682\) | 0.0331869 | + | 0.696680i | 0.00127079 | + | 0.0266772i | ||||
\(683\) | 0.197681 | + | 0.101912i | 0.00756405 | + | 0.00389954i | 0.462004 | − | 0.886878i | \(-0.347130\pi\) |
−0.454440 | + | 0.890777i | \(0.650161\pi\) | |||||||
\(684\) | −0.179160 | − | 1.24608i | −0.00685035 | − | 0.0476452i | ||||
\(685\) | 1.52803 | + | 1.76344i | 0.0583830 | + | 0.0673776i | ||||
\(686\) | 10.3770 | + | 9.89442i | 0.396195 | + | 0.377771i | ||||
\(687\) | 0.556877 | − | 0.222940i | 0.0212462 | − | 0.00850570i | ||||
\(688\) | 7.14457 | − | 5.61855i | 0.272384 | − | 0.214205i | ||||
\(689\) | 3.69586 | − | 10.6785i | 0.140801 | − | 0.406818i | ||||
\(690\) | −1.04773 | − | 0.100046i | −0.0398863 | − | 0.00380868i | ||||
\(691\) | −32.3463 | + | 30.8421i | −1.23051 | + | 1.17329i | −0.251859 | + | 0.967764i | \(0.581042\pi\) |
−0.978652 | + | 0.205526i | \(0.934109\pi\) | |||||||
\(692\) | 13.0629 | − | 28.6038i | 0.496578 | − | 1.08735i | ||||
\(693\) | 0.733996 | − | 1.03075i | 0.0278822 | − | 0.0391551i | ||||
\(694\) | −0.369797 | + | 2.57200i | −0.0140373 | + | 0.0976317i | ||||
\(695\) | 0.904424 | − | 0.581238i | 0.0343067 | − | 0.0220476i | ||||
\(696\) | 5.01779 | + | 3.94604i | 0.190199 | + | 0.149574i | ||||
\(697\) | 48.1109 | + | 14.1266i | 1.82233 | + | 0.535084i | ||||
\(698\) | 0.184756 | − | 3.87851i | 0.00699313 | − | 0.146804i | ||||
\(699\) | 9.00729 | − | 15.6011i | 0.340687 | − | 0.590087i | ||||
\(700\) | −16.9855 | − | 29.4197i | −0.641990 | − | 1.11196i | ||||
\(701\) | −4.85987 | + | 2.50544i | −0.183555 | + | 0.0946290i | −0.547555 | − | 0.836770i | \(-0.684441\pi\) |
0.364000 | + | 0.931399i | \(0.381411\pi\) | |||||||
\(702\) | 0.398763 | + | 0.559984i | 0.0150503 | + | 0.0211352i | ||||
\(703\) | 4.46768 | − | 0.861074i | 0.168502 | − | 0.0324760i | ||||
\(704\) | 0.00249414 | 0.000480706i | 9.40014e−5 | 1.81173e-5i | ||||||
\(705\) | −1.80112 | − | 2.52932i | −0.0678341 | − | 0.0952597i | ||||
\(706\) | 18.5085 | − | 9.54180i | 0.696577 | − | 0.359110i | ||||
\(707\) | 3.01064 | + | 5.21459i | 0.113227 | + | 0.196115i | ||||
\(708\) | 9.50021 | − | 16.4548i | 0.357040 | − | 0.618411i | ||||
\(709\) | −0.862785 | + | 18.1121i | −0.0324026 | + | 0.680214i | 0.922981 | + | 0.384846i | \(0.125745\pi\) |
−0.955384 | + | 0.295368i | \(0.904558\pi\) | |||||||
\(710\) | 1.28502 | + | 0.377315i | 0.0482258 | + | 0.0141604i | ||||
\(711\) | 6.41164 | + | 5.04217i | 0.240455 | + | 0.189096i | ||||
\(712\) | −15.5928 | + | 10.0209i | −0.584366 | + | 0.375549i | ||||
\(713\) | −2.25094 | + | 15.6557i | −0.0842985 | + | 0.586309i | ||||
\(714\) | −6.68300 | + | 9.38496i | −0.250105 | + | 0.351223i | ||||
\(715\) | 0.0530561 | − | 0.116177i | 0.00198418 | − | 0.00434476i | ||||
\(716\) | 17.9362 | − | 17.1022i | 0.670308 | − | 0.639137i | ||||
\(717\) | −5.64395 | − | 0.538932i | −0.210777 | − | 0.0201268i | ||||
\(718\) | 4.43780 | − | 12.8222i | 0.165617 | − | 0.478519i | ||||
\(719\) | −30.3130 | + | 23.8384i | −1.13048 | + | 0.889022i | −0.994812 | − | 0.101732i | \(-0.967562\pi\) |
−0.135672 | + | 0.990754i | \(0.543319\pi\) | |||||||
\(720\) | −0.668504 | + | 0.267629i | −0.0249137 | + | 0.00997394i | ||||
\(721\) | −8.78647 | − | 8.37788i | −0.327225 | − | 0.312009i | ||||
\(722\) | 7.58201 | + | 8.75011i | 0.282173 | + | 0.325645i | ||||
\(723\) | 3.81867 | + | 26.5595i | 0.142018 | + | 0.987757i | ||||
\(724\) | −0.983785 | − | 0.507177i | −0.0365621 | − | 0.0188491i | ||||
\(725\) | 0.647238 | + | 13.5872i | 0.0240378 | + | 0.504616i | ||||
\(726\) | 1.62092 | − | 6.68153i | 0.0601581 | − | 0.247975i | ||||
\(727\) | −43.2140 | + | 4.12644i | −1.60272 | + | 0.153041i | −0.857753 | − | 0.514062i | \(-0.828140\pi\) |
−0.744966 | + | 0.667103i | \(0.767534\pi\) | |||||||
\(728\) | −7.10731 | + | 8.20228i | −0.263415 | + | 0.303997i | ||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 0.423396 | + | 1.22332i | 0.0156706 | + | 0.0452772i | ||||
\(731\) | −5.03378 | − | 20.7495i | −0.186181 | − | 0.767449i | ||||
\(732\) | 9.70368 | − | 2.84926i | 0.358658 | − | 0.105312i | ||||
\(733\) | 9.32994 | + | 3.73515i | 0.344609 | + | 0.137961i | 0.537510 | − | 0.843258i | \(-0.319365\pi\) |
−0.192900 | + | 0.981218i | \(0.561789\pi\) | |||||||
\(734\) | 5.60167 | + | 12.2660i | 0.206761 | + | 0.452744i | ||||
\(735\) | 4.85177 | + | 0.935102i | 0.178960 | + | 0.0344918i | ||||
\(736\) | 23.3396 | 0.860310 | ||||||||
\(737\) | 2.21798 | − | 0.818067i | 0.0817003 | − | 0.0301339i | ||||
\(738\) | −7.56348 | −0.278415 | ||||||||
\(739\) | −4.66112 | − | 0.898358i | −0.171462 | − | 0.0330466i | 0.102797 | − | 0.994702i | \(-0.467221\pi\) |
−0.274260 | + | 0.961656i | \(0.588433\pi\) | |||||||
\(740\) | −1.56367 | − | 3.42397i | −0.0574818 | − | 0.125868i | ||||
\(741\) | −0.795648 | − | 0.318530i | −0.0292289 | − | 0.0117015i | ||||
\(742\) | −27.4092 | + | 8.04807i | −1.00622 | + | 0.295454i | ||||
\(743\) | −11.2134 | − | 46.2221i | −0.411378 | − | 1.69572i | −0.680609 | − | 0.732647i | \(-0.738285\pi\) |
0.269231 | − | 0.963076i | \(-0.413231\pi\) | |||||||
\(744\) | −2.84612 | − | 8.22331i | −0.104344 | − | 0.301481i | ||||
\(745\) | 5.47948 | + | 3.52145i | 0.200753 | + | 0.129016i | ||||
\(746\) | −12.1640 | + | 14.0380i | −0.445355 | + | 0.513967i | ||||
\(747\) | −0.305752 | + | 0.0291958i | −0.0111869 | + | 0.00106822i | ||||
\(748\) | −0.455825 | + | 1.87894i | −0.0166666 | + | 0.0687008i | ||||
\(749\) | −0.647611 | − | 13.5950i | −0.0236632 | − | 0.496752i | ||||
\(750\) | 2.23070 | + | 1.15000i | 0.0814535 | + | 0.0419922i | ||||
\(751\) | −0.734363 | − | 5.10760i | −0.0267973 | − | 0.186379i | 0.972026 | − | 0.234872i | \(-0.0754672\pi\) |
−0.998824 | + | 0.0484931i | \(0.984558\pi\) | |||||||
\(752\) | 8.92087 | + | 10.2952i | 0.325311 | + | 0.375428i | ||||
\(753\) | 7.64826 | + | 7.29260i | 0.278718 | + | 0.265757i | ||||
\(754\) | 1.79520 | − | 0.718689i | 0.0653773 | − | 0.0261731i | ||||
\(755\) | 6.85432 | − | 5.39030i | 0.249454 | − | 0.196173i | ||||
\(756\) | −2.29758 | + | 6.63843i | −0.0835623 | + | 0.241437i | ||||
\(757\) | −15.6994 | − | 1.49911i | −0.570605 | − | 0.0544862i | −0.194234 | − | 0.980955i | \(-0.562222\pi\) |
−0.376371 | + | 0.926469i | \(0.622828\pi\) | |||||||
\(758\) | 2.17303 | − | 2.07198i | 0.0789281 | − | 0.0752578i | ||||
\(759\) | −0.494893 | + | 1.08367i | −0.0179635 | + | 0.0393346i | ||||
\(760\) | −0.418742 | + | 0.588041i | −0.0151894 | + | 0.0213305i | ||||
\(761\) | −5.20675 | + | 36.2137i | −0.188745 | + | 1.31275i | 0.646519 | + | 0.762898i | \(0.276224\pi\) |
−0.835264 | + | 0.549849i | \(0.814685\pi\) | |||||||
\(762\) | −1.01066 | + | 0.649510i | −0.0366123 | + | 0.0235293i | ||||
\(763\) | 64.3896 | + | 50.6365i | 2.33106 | + | 1.83317i | ||||
\(764\) | −18.8478 | − | 5.53420i | −0.681888 | − | 0.200220i | ||||
\(765\) | −0.0804875 | + | 1.68964i | −0.00291003 | + | 0.0610891i | ||||
\(766\) | −1.17299 | + | 2.03169i | −0.0423820 | + | 0.0734078i | ||||
\(767\) | −6.46761 | − | 11.2022i | −0.233532 | − | 0.404489i | ||||
\(768\) | −6.34743 | + | 3.27233i | −0.229043 | + | 0.118080i | ||||
\(769\) | 22.4839 | + | 31.5742i | 0.810790 | + | 1.13859i | 0.988005 | + | 0.154423i | \(0.0493517\pi\) |
−0.177215 | + | 0.984172i | \(0.556709\pi\) | |||||||
\(770\) | −0.317037 | + | 0.0611038i | −0.0114252 | + | 0.00220203i | ||||
\(771\) | 9.86466 | − | 1.90126i | 0.355267 | − | 0.0684721i | ||||
\(772\) | −16.6384 | − | 23.3653i | −0.598828 | − | 0.840936i | ||||
\(773\) | 29.6023 | − | 15.2610i | 1.06472 | − | 0.548902i | 0.165416 | − | 0.986224i | \(-0.447103\pi\) |
0.899305 | + | 0.437322i | \(0.144073\pi\) | |||||||
\(774\) | 1.61033 | + | 2.78918i | 0.0578823 | + | 0.100255i | ||||
\(775\) | 9.27141 | − | 16.0586i | 0.333039 | − | 0.576841i | ||||
\(776\) | −1.48991 | + | 31.2770i | −0.0534845 | + | 1.12278i | ||||
\(777\) | −24.3605 | − | 7.15289i | −0.873928 | − | 0.256609i | ||||
\(778\) | 19.2433 | + | 15.1331i | 0.689906 | + | 0.542548i | ||||
\(779\) | 7.93241 | − | 5.09785i | 0.284208 | − | 0.182649i | ||||
\(780\) | −0.100905 | + | 0.701811i | −0.00361298 | + | 0.0251288i | ||||
\(781\) | 0.879321 | − | 1.23483i | 0.0314646 | − | 0.0441858i | ||||
\(782\) | 4.50598 | − | 9.86672i | 0.161134 | − | 0.352833i | ||||
\(783\) | 2.03576 | − | 1.94110i | 0.0727522 | − | 0.0693691i | ||||
\(784\) | −21.5792 | − | 2.06056i | −0.770685 | − | 0.0735915i | ||||
\(785\) | −0.445749 | + | 1.28791i | −0.0159095 | + | 0.0459674i | ||||
\(786\) | 10.0777 | − | 7.92516i | 0.359458 | − | 0.282681i | ||||
\(787\) | −42.9514 | + | 17.1952i | −1.53105 | + | 0.612941i | −0.975785 | − | 0.218730i | \(-0.929809\pi\) |
−0.555268 | + | 0.831671i | \(0.687384\pi\) | |||||||
\(788\) | −29.1809 | − | 27.8239i | −1.03953 | − | 0.991185i | ||||
\(789\) | −16.8675 | − | 19.4661i | −0.600498 | − | 0.693011i | ||||
\(790\) | −0.296192 | − | 2.06006i | −0.0105380 | − | 0.0732937i | ||||
\(791\) | 26.6349 | + | 13.7312i | 0.947027 | + | 0.488227i | ||||
\(792\) | −0.0311868 | − | 0.654692i | −0.00110818 | − | 0.0232635i | ||||
\(793\) | 1.62320 | − | 6.69094i | 0.0576417 | − | 0.237602i | ||||
\(794\) | 15.4425 | − | 1.47458i | 0.548032 | − | 0.0523307i | ||||
\(795\) | −2.74656 | + | 3.16970i | −0.0974104 | + | 0.112418i | ||||
\(796\) | 14.1168 | + | 9.07231i | 0.500356 | + | 0.321559i | ||||
\(797\) | −8.19701 | − | 23.6837i | −0.290353 | − | 0.838920i | −0.991982 | − | 0.126378i | \(-0.959665\pi\) |
0.701629 | − | 0.712542i | \(-0.252456\pi\) | |||||||
\(798\) | 0.510794 | + | 2.10552i | 0.0180819 | + | 0.0745346i | ||||
\(799\) | 30.7045 | − | 9.01566i | 1.08625 | − | 0.318951i | ||||
\(800\) | −25.4024 | − | 10.1696i | −0.898112 | − | 0.359550i | ||||
\(801\) | 3.39287 | + | 7.42935i | 0.119881 | + | 0.262503i | ||||
\(802\) | −6.24623 | − | 1.20386i | −0.220562 | − | 0.0425099i | ||||
\(803\) | 1.46527 | 0.0517084 | ||||||||
\(804\) | −10.5348 | + | 7.82654i | −0.371535 | + | 0.276021i | ||||
\(805\) | −7.32181 | −0.258060 | ||||||||
\(806\) | −2.58837 | − | 0.498867i | −0.0911714 | − | 0.0175718i | ||||
\(807\) | 8.66840 | + | 18.9812i | 0.305142 | + | 0.668168i | ||||
\(808\) | 2.89545 | + | 1.15916i | 0.101861 | + | 0.0407792i | ||||
\(809\) | 36.7351 | − | 10.7864i | 1.29154 | − | 0.379230i | 0.437396 | − | 0.899269i | \(-0.355901\pi\) |
0.854142 | + | 0.520039i | \(0.174083\pi\) | |||||||
\(810\) | −0.0601554 | − | 0.247964i | −0.00211364 | − | 0.00871256i | ||||
\(811\) | −3.10449 | − | 8.96982i | −0.109013 | − | 0.314973i | 0.877279 | − | 0.479981i | \(-0.159356\pi\) |
−0.986292 | + | 0.165008i | \(0.947235\pi\) | |||||||
\(812\) | 16.6230 | + | 10.6829i | 0.583351 | + | 0.374897i | ||||
\(813\) | −13.3975 | + | 15.4616i | −0.469873 | + | 0.542262i | ||||
\(814\) | 1.04928 | − | 0.100194i | 0.0367772 | − | 0.00351179i | ||||
\(815\) | −0.903694 | + | 3.72508i | −0.0316550 | + | 0.130484i | ||||
\(816\) | −0.353113 | − | 7.41276i | −0.0123614 | − | 0.259499i | ||||
\(817\) | −3.56882 | − | 1.83985i | −0.124857 | − | 0.0643683i | ||||
\(818\) | −3.47425 | − | 24.1639i | −0.121474 | − | 0.844871i | ||||
\(819\) | 3.13179 | + | 3.61428i | 0.109434 | + | 0.126293i | ||||
\(820\) | −5.64572 | − | 5.38318i | −0.197157 | − | 0.187989i | ||||
\(821\) | 34.1426 | − | 13.6686i | 1.19158 | − | 0.477038i | 0.310762 | − | 0.950488i | \(-0.399416\pi\) |
0.880821 | + | 0.473450i | \(0.156991\pi\) | |||||||
\(822\) | 2.85130 | − | 2.24228i | 0.0994504 | − | 0.0782087i | ||||
\(823\) | −12.0134 | + | 34.7105i | −0.418762 | + | 1.20993i | 0.516596 | + | 0.856230i | \(0.327199\pi\) |
−0.935358 | + | 0.353704i | \(0.884922\pi\) | |||||||
\(824\) | −6.25995 | − | 0.597753i | −0.218076 | − | 0.0208237i | ||||
\(825\) | 1.01081 | − | 0.963806i | 0.0351919 | − | 0.0335554i | ||||
\(826\) | −13.5841 | + | 29.7451i | −0.472653 | + | 1.03497i | ||||
\(827\) | −24.9333 | + | 35.0139i | −0.867014 | + | 1.21755i | 0.107720 | + | 0.994181i | \(0.465645\pi\) |
−0.974734 | + | 0.223370i | \(0.928294\pi\) | |||||||
\(828\) | 0.941217 | − | 6.54631i | 0.0327096 | − | 0.227500i | ||||
\(829\) | −21.8559 | + | 14.0459i | −0.759086 | + | 0.487835i | −0.862033 | − | 0.506852i | \(-0.830809\pi\) |
0.102947 | + | 0.994687i | \(0.467173\pi\) | |||||||
\(830\) | 0.0616025 | + | 0.0484447i | 0.00213825 | + | 0.00168154i | ||||
\(831\) | 10.4461 | + | 3.06726i | 0.362372 | + | 0.106402i | ||||
\(832\) | −0.000456776 | 0.00958891i | −1.58359e−5 | 0.000332436i | ||||||
\(833\) | −25.4612 | + | 44.1000i | −0.882177 | + | 1.52798i | ||||
\(834\) | −0.835647 | − | 1.44738i | −0.0289361 | − | 0.0501188i | ||||
\(835\) | −2.84131 | + | 1.46480i | −0.0983277 | + | 0.0506915i | ||||
\(836\) | 0.210901 | + | 0.296168i | 0.00729415 | + | 0.0102432i | ||||
\(837\) | −3.76514 | + | 0.725672i | −0.130142 | + | 0.0250829i | ||||
\(838\) | −6.87474 | + | 1.32500i | −0.237484 | + | 0.0457713i | ||||
\(839\) | 4.26486 | + | 5.98915i | 0.147239 | + | 0.206769i | 0.881608 | − | 0.471982i | \(-0.156461\pi\) |
−0.734369 | + | 0.678750i | \(0.762522\pi\) | |||||||
\(840\) | 3.58047 | − | 1.84586i | 0.123538 | − | 0.0636882i | ||||
\(841\) | 10.5439 | + | 18.2626i | 0.363583 | + | 0.629744i | ||||
\(842\) | 9.99322 | − | 17.3088i | 0.344389 | − | 0.596499i | ||||
\(843\) | −1.10868 | + | 23.2742i | −0.0381851 | + | 0.801605i | ||||
\(844\) | 15.2299 | + | 4.47190i | 0.524234 | + | 0.153929i | ||||
\(845\) | −3.76052 | − | 2.95730i | −0.129366 | − | 0.101734i | ||||
\(846\) | −4.06076 | + | 2.60969i | −0.139612 | + | 0.0897230i | ||||
\(847\) | 6.80681 | − | 47.3424i | 0.233885 | − | 1.62670i | ||||
\(848\) | 10.6732 | − | 14.9885i | 0.366521 | − | 0.514706i | ||||
\(849\) | −5.76298 | + | 12.6192i | −0.197785 | + | 0.433089i | ||||
\(850\) | −9.20338 | + | 8.77541i | −0.315673 | + | 0.300994i | ||||
\(851\) | 23.7947 | + | 2.27212i | 0.815671 | + | 0.0778871i | ||||
\(852\) | −2.75249 | + | 7.95278i | −0.0942986 | + | 0.272458i | ||||
\(853\) | 1.53677 | − | 1.20853i | 0.0526178 | − | 0.0413791i | −0.591504 | − | 0.806302i | \(-0.701466\pi\) |
0.644122 | + | 0.764923i | \(0.277223\pi\) | |||||||
\(854\) | −16.1585 | + | 6.46890i | −0.552933 | + | 0.221361i | ||||
\(855\) | 0.230219 | + | 0.219514i | 0.00787334 | + | 0.00750721i | ||||
\(856\) | −4.61666 | − | 5.32791i | −0.157794 | − | 0.182104i | ||||
\(857\) | −3.00562 | − | 20.9045i | −0.102670 | − | 0.714085i | −0.974518 | − | 0.224309i | \(-0.927988\pi\) |
0.871848 | − | 0.489776i | \(-0.162922\pi\) | |||||||
\(858\) | −0.176475 | − | 0.0909790i | −0.00602474 | − | 0.00310597i | ||||
\(859\) | −0.866280 | − | 18.1855i | −0.0295571 | − | 0.620480i | −0.964245 | − | 0.265011i | \(-0.914624\pi\) |
0.934688 | − | 0.355469i | \(-0.115679\pi\) | |||||||
\(860\) | −0.783129 | + | 3.22810i | −0.0267045 | + | 0.110077i | ||||
\(861\) | −52.3781 | + | 5.00150i | −1.78504 | + | 0.170451i | ||||
\(862\) | −13.4955 | + | 15.5746i | −0.459657 | + | 0.530473i | ||||
\(863\) | 0.712077 | + | 0.457624i | 0.0242394 | + | 0.0155777i | 0.552704 | − | 0.833377i | \(-0.313596\pi\) |
−0.528465 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(864\) | 1.85063 | + | 5.34704i | 0.0629596 | + | 0.181910i | ||||
\(865\) | 1.87327 | + | 7.72170i | 0.0636929 | + | 0.262546i | ||||
\(866\) | −5.87009 | + | 1.72361i | −0.199474 | + | 0.0585708i | ||||
\(867\) | −0.402068 | − | 0.160964i | −0.0136549 | − | 0.00546661i | ||||
\(868\) | −11.1897 | − | 24.5020i | −0.379802 | − | 0.831650i | ||||
\(869\) | −2.31320 | − | 0.445833i | −0.0784701 | − | 0.0151239i | ||||
\(870\) | −0.717719 | −0.0243330 | ||||||||
\(871\) | 1.02837 | + | 8.87521i | 0.0348449 | + | 0.300725i | ||||
\(872\) | 42.4297 | 1.43685 | ||||||||
\(873\) | 13.5483 | + | 2.61122i | 0.458540 | + | 0.0883763i | ||||
\(874\) | −0.847356 | − | 1.85545i | −0.0286623 | − | 0.0627616i | ||||
\(875\) | 16.2083 | + | 6.48884i | 0.547942 | + | 0.219363i | ||||
\(876\) | −7.80496 | + | 2.29174i | −0.263705 | + | 0.0774309i | ||||
\(877\) | −3.33227 | − | 13.7358i | −0.112523 | − | 0.463825i | −0.999996 | − | 0.00296514i | \(-0.999056\pi\) |
0.887473 | − | 0.460860i | \(-0.152459\pi\) | |||||||
\(878\) | 1.71380 | + | 4.95169i | 0.0578378 | + | 0.167111i | ||||
\(879\) | −18.2892 | − | 11.7537i | −0.616879 | − | 0.396444i | ||||
\(880\) | 0.136191 | − | 0.157173i | 0.00459101 | − | 0.00529831i | ||||
\(881\) | 2.15607 | − | 0.205880i | 0.0726399 | − | 0.00693627i | −0.0586728 | − | 0.998277i | \(-0.518687\pi\) |
0.131313 | + | 0.991341i | \(0.458081\pi\) | |||||||
\(882\) | 1.81091 | − | 7.46467i | 0.0609764 | − | 0.251348i | ||||
\(883\) | 0.117565 | + | 2.46800i | 0.00395639 | + | 0.0830548i | 0.999982 | − | 0.00601337i | \(-0.00191413\pi\) |
−0.996026 | + | 0.0890682i | \(0.971611\pi\) | |||||||
\(884\) | −6.49490 | − | 3.34835i | −0.218447 | − | 0.112617i | ||||
\(885\) | 0.683260 | + | 4.75218i | 0.0229675 | + | 0.159743i | ||||
\(886\) | 0.0328067 | + | 0.0378610i | 0.00110216 | + | 0.00127196i | ||||
\(887\) | 29.1714 | + | 27.8149i | 0.979479 | + | 0.933932i | 0.997826 | − | 0.0659000i | \(-0.0209918\pi\) |
−0.0183469 | + | 0.999832i | \(0.505840\pi\) | |||||||
\(888\) | −12.2087 | + | 4.88764i | −0.409699 | + | 0.164019i | ||||
\(889\) | −6.56944 | + | 5.16627i | −0.220332 | + | 0.173271i | ||||
\(890\) | 0.681600 | − | 1.96935i | 0.0228473 | − | 0.0660128i | ||||
\(891\) | −0.287505 | − | 0.0274534i | −0.00963178 | − | 0.000919724i | ||||
\(892\) | 25.9896 | − | 24.7810i | 0.870196 | − | 0.829730i | ||||
\(893\) | 2.49988 | − | 5.47397i | 0.0836553 | − | 0.183180i | ||||
\(894\) | 5.87342 | − | 8.24807i | 0.196437 | − | 0.275857i | ||||
\(895\) | −0.891199 | + | 6.19842i | −0.0297895 | + | 0.207190i | ||||
\(896\) | −41.6900 | + | 26.7925i | −1.39277 | + | 0.895076i | ||||
\(897\) | −3.53917 | − | 2.78324i | −0.118170 | − | 0.0929296i | ||||
\(898\) | 10.4012 | + | 3.05405i | 0.347091 | + | 0.101915i | ||||
\(899\) | −0.513206 | + | 10.7735i | −0.0171164 | + | 0.359317i | ||||
\(900\) | −3.87678 | + | 6.71478i | −0.129226 | + | 0.223826i | ||||
\(901\) | −21.6122 | − | 37.4334i | −0.720005 | − | 1.24709i | ||||
\(902\) | 1.94160 | − | 1.00096i | 0.0646481 | − | 0.0333284i | ||||
\(903\) | 12.9962 | + | 18.2506i | 0.432486 | + | 0.607342i | ||||
\(904\) | 15.2411 | − | 2.93748i | 0.506911 | − | 0.0976990i | ||||
\(905\) | 0.274619 | − | 0.0529286i | 0.00912866 | − | 0.00175941i | ||||
\(906\) | −7.86305 | − | 11.0421i | −0.261232 | − | 0.366849i | ||||
\(907\) | −25.4480 | + | 13.1194i | −0.844987 | + | 0.435621i | −0.825644 | − | 0.564192i | \(-0.809188\pi\) |
−0.0193435 | + | 0.999813i | \(0.506158\pi\) | |||||||
\(908\) | 15.0469 | + | 26.0620i | 0.499350 | + | 0.864899i | ||||
\(909\) | 0.687152 | − | 1.19018i | 0.0227914 | − | 0.0394758i | ||||
\(910\) | 0.0580620 | − | 1.21887i | 0.00192474 | − | 0.0404052i | ||||
\(911\) | 40.2184 | + | 11.8092i | 1.33250 | + | 0.391256i | 0.868986 | − | 0.494836i | \(-0.164772\pi\) |
0.463510 | + | 0.886092i | \(0.346590\pi\) | |||||||
\(912\) | −1.09699 | − | 0.862679i | −0.0363248 | − | 0.0285661i | ||||
\(913\) | 0.0746249 | − | 0.0479585i | 0.00246972 | − | 0.00158719i | ||||
\(914\) | 0.155175 | − | 1.07927i | 0.00513274 | − | 0.0356990i | ||||
\(915\) | −1.48231 | + | 2.08161i | −0.0490035 | + | 0.0688158i | ||||
\(916\) | 0.399529 | − | 0.874847i | 0.0132008 | − | 0.0289057i | ||||
\(917\) | 64.5485 | − | 61.5469i | 2.13158 | − | 2.03246i | ||||
\(918\) | 2.61772 | + | 0.249962i | 0.0863977 | + | 0.00824998i | ||||
\(919\) | 0.574898 | − | 1.66106i | 0.0189641 | − | 0.0547933i | −0.935122 | − | 0.354327i | \(-0.884710\pi\) |
0.954086 | + | 0.299534i | \(0.0968312\pi\) | |||||||
\(920\) | −2.98110 | + | 2.34436i | −0.0982840 | + | 0.0772914i | ||||
\(921\) | 21.3470 | − | 8.54604i | 0.703407 | − | 0.281602i | ||||
\(922\) | −6.02963 | − | 5.74924i | −0.198575 | − | 0.189341i | ||||
\(923\) | 3.75186 | + | 4.32988i | 0.123494 | + | 0.142520i | ||||
\(924\) | −0.288735 | − | 2.00820i | −0.00949870 | − | 0.0660649i | ||||
\(925\) | −24.9077 | − | 12.8408i | −0.818960 | − | 0.422203i | ||||
\(926\) | −0.0171009 | − | 0.358992i | −0.000561970 | − | 0.0117972i | ||||
\(927\) | −0.653277 | + | 2.69284i | −0.0214564 | + | 0.0884446i | ||||
\(928\) | 15.8438 | − | 1.51290i | 0.520097 | − | 0.0496632i | ||||
\(929\) | −6.43122 | + | 7.42202i | −0.211001 | + | 0.243509i | −0.851378 | − | 0.524552i | \(-0.824233\pi\) |
0.640377 | + | 0.768061i | \(0.278778\pi\) | |||||||
\(930\) | 0.823066 | + | 0.528953i | 0.0269894 | + | 0.0173450i | ||||
\(931\) | 3.13201 | + | 9.04935i | 0.102647 | + | 0.296580i | ||||
\(932\) | −6.80956 | − | 28.0694i | −0.223054 | − | 0.919443i | ||||
\(933\) | −8.75426 | + | 2.57048i | −0.286602 | + | 0.0841539i | ||||
\(934\) | −21.9577 | − | 8.79054i | −0.718478 | − | 0.287635i | ||||
\(935\) | −0.202948 | − | 0.444394i | −0.00663711 | − | 0.0145333i | ||||
\(936\) | 2.43237 | + | 0.468801i | 0.0795046 | + | 0.0153232i | ||||
\(937\) | 53.9049 | 1.76100 | 0.880499 | − | 0.474048i | \(-0.157208\pi\) | ||||
0.880499 | + | 0.474048i | \(0.157208\pi\) | |||||||
\(938\) | 16.7683 | − | 15.1321i | 0.547503 | − | 0.494081i | ||||
\(939\) | −19.8655 | −0.648285 | ||||||||
\(940\) | −4.88854 | − | 0.942188i | −0.159446 | − | 0.0307308i | ||||
\(941\) | 4.54774 | + | 9.95817i | 0.148252 | + | 0.324627i | 0.969159 | − | 0.246435i | \(-0.0792590\pi\) |
−0.820907 | + | 0.571061i | \(0.806532\pi\) | |||||||
\(942\) | 1.96689 | + | 0.787425i | 0.0640848 | + | 0.0256557i | ||||
\(943\) | 47.5301 | − | 13.9561i | 1.54779 | − | 0.454473i | ||||
\(944\) | −4.96581 | − | 20.4693i | −0.161623 | − | 0.666220i | ||||
\(945\) | −0.580555 | − | 1.67740i | −0.0188855 | − | 0.0545660i | ||||
\(946\) | −0.782510 | − | 0.502888i | −0.0254416 | − | 0.0163503i | ||||
\(947\) | −5.13685 | + | 5.92824i | −0.166925 | + | 0.192642i | −0.833049 | − | 0.553199i | \(-0.813407\pi\) |
0.666124 | + | 0.745841i | \(0.267952\pi\) | |||||||
\(948\) | 13.0189 | − | 1.24315i | 0.422833 | − | 0.0403757i | ||||
\(949\) | −1.30559 | + | 5.38173i | −0.0423813 | + | 0.174698i | ||||
\(950\) | 0.113786 | + | 2.38865i | 0.00369169 | + | 0.0774981i | ||||
\(951\) | −20.8178 | − | 10.7323i | −0.675063 | − | 0.348019i | ||||
\(952\) | 5.90822 | + | 41.0926i | 0.191487 | + | 1.33182i | ||||
\(953\) | −8.37668 | − | 9.66720i | −0.271347 | − | 0.313151i | 0.603678 | − | 0.797228i | \(-0.293701\pi\) |
−0.875026 | + | 0.484076i | \(0.839156\pi\) | |||||||
\(954\) | 4.71875 | + | 4.49932i | 0.152775 | + | 0.145671i | ||||
\(955\) | 4.60798 | − | 1.84476i | 0.149111 | − | 0.0596949i | ||||
\(956\) | −7.14550 | + | 5.61928i | −0.231102 | + | 0.181741i | ||||
\(957\) | −0.265707 | + | 0.767709i | −0.00858908 | + | 0.0248165i | ||||
\(958\) | 3.34508 | + | 0.319416i | 0.108075 | + | 0.0103199i | ||||
\(959\) | 18.2629 | − | 17.4136i | 0.589739 | − | 0.562315i | ||||
\(960\) | 0.00148015 | − | 0.00324108i | 4.77716e−5 | − | 0.000104605i | ||||
\(961\) | −9.45324 | + | 13.2752i | −0.304943 | + | 0.428233i | ||||
\(962\) | −0.566934 | + | 3.94311i | −0.0182787 | + | 0.127131i | ||||
\(963\) | −2.61332 | + | 1.67948i | −0.0842131 | + | 0.0541205i | ||||
\(964\) | 33.8175 | + | 26.5943i | 1.08919 | + | 0.856546i | ||||
\(965\) | 6.95431 | + | 2.04197i | 0.223867 | + | 0.0657334i | ||||
\(966\) | −0.541587 | + | 11.3693i | −0.0174253 | + | 0.365802i | ||||
\(967\) | 11.6040 | − | 20.0988i | 0.373161 | − | 0.646333i | −0.616889 | − | 0.787050i | \(-0.711607\pi\) |
0.990050 | + | 0.140717i | \(0.0449407\pi\) | |||||||
\(968\) | −12.3871 | − | 21.4551i | −0.398137 | − | 0.689593i | ||||
\(969\) | −2.91389 | + | 1.50221i | −0.0936075 | + | 0.0482580i | ||||
\(970\) | −2.04212 | − | 2.86776i | −0.0655685 | − | 0.0920781i | ||||
\(971\) | −30.3985 | + | 5.85882i | −0.975533 | + | 0.188019i | −0.652017 | − | 0.758204i | \(-0.726077\pi\) |
−0.323516 | + | 0.946223i | \(0.604865\pi\) | |||||||
\(972\) | 1.57437 | − | 0.303435i | 0.0504979 | − | 0.00973268i | ||||
\(973\) | −6.74409 | − | 9.47074i | −0.216205 | − | 0.303618i | ||||
\(974\) | 21.2765 | − | 10.9688i | 0.681744 | − | 0.351464i | ||||
\(975\) | 2.63926 | + | 4.57132i | 0.0845238 | + | 0.146400i | ||||
\(976\) | 5.60561 | − | 9.70920i | 0.179431 | − | 0.310784i | ||||
\(977\) | 2.74876 | − | 57.7035i | 0.0879406 | − | 1.84610i | −0.337756 | − | 0.941234i | \(-0.609668\pi\) |
0.425697 | − | 0.904866i | \(-0.360029\pi\) | |||||||
\(978\) | 5.71746 | + | 1.67880i | 0.182824 | + | 0.0536820i | ||||
\(979\) | −1.85419 | − | 1.45815i | −0.0592601 | − | 0.0466026i | ||||
\(980\) | 6.66460 | − | 4.28308i | 0.212893 | − | 0.136818i | ||||
\(981\) | 2.66077 | − | 18.5061i | 0.0849518 | − | 0.590853i | ||||
\(982\) | −9.85435 | + | 13.8385i | −0.314465 | + | 0.441604i | ||||
\(983\) | −4.56117 | + | 9.98757i | −0.145479 | + | 0.318554i | −0.968318 | − | 0.249720i | \(-0.919661\pi\) |
0.822839 | + | 0.568274i | \(0.192389\pi\) | |||||||
\(984\) | −19.7245 | + | 18.8073i | −0.628794 | + | 0.599554i | ||||
\(985\) | 10.1419 | + | 0.968437i | 0.323149 | + | 0.0308570i | ||||
\(986\) | 2.41925 | − | 6.98996i | 0.0770446 | − | 0.222606i | ||||
\(987\) | −26.3956 | + | 20.7577i | −0.840181 | + | 0.660726i | ||||
\(988\) | −1.27570 | + | 0.510712i | −0.0405854 | + | 0.0162479i | ||||
\(989\) | −15.2662 | − | 14.5563i | −0.485437 | − | 0.462863i | ||||
\(990\) | 0.0482583 | + | 0.0556930i | 0.00153375 | + | 0.00177004i | ||||
\(991\) | −3.98863 | − | 27.7416i | −0.126703 | − | 0.881240i | −0.949693 | − | 0.313183i | \(-0.898605\pi\) |
0.822990 | − | 0.568056i | \(-0.192304\pi\) | |||||||
\(992\) | −19.2843 | − | 9.94175i | −0.612277 | − | 0.315651i | ||||
\(993\) | −0.398078 | − | 8.35669i | −0.0126326 | − | 0.265192i | ||||
\(994\) | 3.41462 | − | 14.0752i | 0.108305 | − | 0.446440i | ||||
\(995\) | −4.22095 | + | 0.403052i | −0.133813 | + | 0.0127776i | ||||
\(996\) | −0.322490 | + | 0.372173i | −0.0102185 | + | 0.0117927i | ||||
\(997\) | −46.8013 | − | 30.0774i | −1.48221 | − | 0.952560i | −0.996938 | − | 0.0781988i | \(-0.975083\pi\) |
−0.485275 | − | 0.874362i | \(-0.661281\pi\) | |||||||
\(998\) | 3.85022 | + | 11.1245i | 0.121877 | + | 0.352139i | ||||
\(999\) | 1.36617 | + | 5.63145i | 0.0432238 | + | 0.178171i |
(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 | 201.2.m.a.16.4 | ✓ | 100 | |
3.2 | odd | 2 | 603.2.z.b.217.2 | 100 | |||
67.21 | even | 33 | inner | 201.2.m.a.88.4 | yes | 100 | |
201.155 | odd | 66 | 603.2.z.b.289.2 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.m.a.16.4 | ✓ | 100 | 1.1 | even | 1 | trivial | |
201.2.m.a.88.4 | yes | 100 | 67.21 | even | 33 | inner | |
603.2.z.b.217.2 | 100 | 3.2 | odd | 2 | |||
603.2.z.b.289.2 | 100 | 201.155 | odd | 66 |