Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(71,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} + 7 x^{10} - 9 x^{9} + 55 x^{8} - 32 x^{7} + 287 x^{6} - 302 x^{5} + 1175 x^{4} + \cdots + 361 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 421.1 | ||
Root | \(0.603111 - 1.85618i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 770.421 |
Dual form | 770.2.n.h.631.1 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | −0.912128 | − | 2.80724i | −0.526617 | − | 1.62076i | −0.761095 | − | 0.648640i | \(-0.775338\pi\) |
0.234478 | − | 0.972121i | \(-0.424662\pi\) | |||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 0.809017 | + | 0.587785i | 0.361803 | + | 0.262866i | ||||
\(6\) | 2.38798 | + | 1.73497i | 0.974889 | + | 0.708299i | ||||
\(7\) | 0.309017 | − | 0.951057i | 0.116797 | − | 0.359466i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | −4.62157 | + | 3.35777i | −1.54052 | + | 1.11926i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | 0.355779 | − | 3.29749i | 0.107271 | − | 0.994230i | ||||
\(12\) | −2.95171 | −0.852085 | ||||||||
\(13\) | −4.69299 | + | 3.40966i | −1.30160 | + | 0.945669i | −0.999970 | − | 0.00775545i | \(-0.997531\pi\) |
−0.301632 | + | 0.953424i | \(0.597531\pi\) | |||||||
\(14\) | 0.309017 | + | 0.951057i | 0.0825883 | + | 0.254181i | ||||
\(15\) | 0.912128 | − | 2.80724i | 0.235510 | − | 0.724826i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 0.380053 | + | 0.276124i | 0.0921763 | + | 0.0669700i | 0.632919 | − | 0.774218i | \(-0.281857\pi\) |
−0.540743 | + | 0.841188i | \(0.681857\pi\) | |||||||
\(18\) | 1.76528 | − | 5.43299i | 0.416081 | − | 1.28057i | ||||
\(19\) | −1.25005 | − | 3.84724i | −0.286780 | − | 0.882618i | −0.985859 | − | 0.167574i | \(-0.946407\pi\) |
0.699079 | − | 0.715044i | \(-0.253593\pi\) | |||||||
\(20\) | 0.809017 | − | 0.587785i | 0.180902 | − | 0.131433i | ||||
\(21\) | −2.95171 | −0.644115 | ||||||||
\(22\) | 1.65038 | + | 2.87684i | 0.351863 | + | 0.613345i | ||||
\(23\) | −7.69830 | −1.60521 | −0.802603 | − | 0.596513i | \(-0.796552\pi\) | ||||
−0.802603 | + | 0.596513i | \(0.796552\pi\) | |||||||
\(24\) | 2.38798 | − | 1.73497i | 0.487445 | − | 0.354149i | ||||
\(25\) | 0.309017 | + | 0.951057i | 0.0618034 | + | 0.190211i | ||||
\(26\) | 1.79256 | − | 5.51694i | 0.351551 | − | 1.08196i | ||||
\(27\) | 6.47759 | + | 4.70624i | 1.24661 | + | 0.905717i | ||||
\(28\) | −0.809017 | − | 0.587785i | −0.152890 | − | 0.111081i | ||||
\(29\) | 0.813681 | − | 2.50425i | 0.151097 | − | 0.465028i | −0.846648 | − | 0.532154i | \(-0.821383\pi\) |
0.997745 | + | 0.0671257i | \(0.0213829\pi\) | |||||||
\(30\) | 0.912128 | + | 2.80724i | 0.166531 | + | 0.512530i | ||||
\(31\) | 2.60621 | − | 1.89352i | 0.468089 | − | 0.340086i | −0.328607 | − | 0.944467i | \(-0.606579\pi\) |
0.796696 | + | 0.604380i | \(0.206579\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −9.58136 | + | 2.00897i | −1.66790 | + | 0.349717i | ||||
\(34\) | −0.469771 | −0.0805650 | ||||||||
\(35\) | 0.809017 | − | 0.587785i | 0.136749 | − | 0.0993538i | ||||
\(36\) | 1.76528 | + | 5.43299i | 0.294214 | + | 0.905498i | ||||
\(37\) | −1.40934 | + | 4.33749i | −0.231693 | + | 0.713079i | 0.765849 | + | 0.643020i | \(0.222319\pi\) |
−0.997543 | + | 0.0700590i | \(0.977681\pi\) | |||||||
\(38\) | 3.27266 | + | 2.37773i | 0.530896 | + | 0.385718i | ||||
\(39\) | 13.8523 | + | 10.0643i | 2.21815 | + | 1.61158i | ||||
\(40\) | −0.309017 | + | 0.951057i | −0.0488599 | + | 0.150375i | ||||
\(41\) | 0.563872 | + | 1.73542i | 0.0880621 | + | 0.271027i | 0.985384 | − | 0.170350i | \(-0.0544900\pi\) |
−0.897321 | + | 0.441378i | \(0.854490\pi\) | |||||||
\(42\) | 2.38798 | − | 1.73497i | 0.368474 | − | 0.267712i | ||||
\(43\) | −0.790717 | −0.120583 | −0.0602916 | − | 0.998181i | \(-0.519203\pi\) | ||||
−0.0602916 | + | 0.998181i | \(0.519203\pi\) | |||||||
\(44\) | −3.02615 | − | 1.35735i | −0.456210 | − | 0.204627i | ||||
\(45\) | −5.71258 | −0.851581 | ||||||||
\(46\) | 6.22805 | − | 4.52495i | 0.918276 | − | 0.667167i | ||||
\(47\) | −1.32435 | − | 4.07592i | −0.193176 | − | 0.594534i | −0.999993 | − | 0.00373276i | \(-0.998812\pi\) |
0.806817 | − | 0.590801i | \(-0.201188\pi\) | |||||||
\(48\) | −0.912128 | + | 2.80724i | −0.131654 | + | 0.405190i | ||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | −0.809017 | − | 0.587785i | −0.114412 | − | 0.0831254i | ||||
\(51\) | 0.428491 | − | 1.31876i | 0.0600008 | − | 0.184663i | ||||
\(52\) | 1.79256 | + | 5.51694i | 0.248584 | + | 0.765062i | ||||
\(53\) | −11.2778 | + | 8.19378i | −1.54912 | + | 1.12550i | −0.604846 | + | 0.796343i | \(0.706765\pi\) |
−0.944274 | + | 0.329159i | \(0.893235\pi\) | |||||||
\(54\) | −8.00674 | −1.08958 | ||||||||
\(55\) | 2.22605 | − | 2.45860i | 0.300160 | − | 0.331518i | ||||
\(56\) | 1.00000 | 0.133631 | ||||||||
\(57\) | −9.65994 | + | 7.01836i | −1.27949 | + | 0.929604i | ||||
\(58\) | 0.813681 | + | 2.50425i | 0.106842 | + | 0.328824i | ||||
\(59\) | −4.02897 | + | 12.3999i | −0.524528 | + | 1.61433i | 0.240721 | + | 0.970594i | \(0.422616\pi\) |
−0.765248 | + | 0.643735i | \(0.777384\pi\) | |||||||
\(60\) | −2.38798 | − | 1.73497i | −0.308287 | − | 0.223984i | ||||
\(61\) | 5.41759 | + | 3.93611i | 0.693651 | + | 0.503967i | 0.877858 | − | 0.478920i | \(-0.158972\pi\) |
−0.184207 | + | 0.982887i | \(0.558972\pi\) | |||||||
\(62\) | −0.995482 | + | 3.06378i | −0.126426 | + | 0.389100i | ||||
\(63\) | 1.76528 | + | 5.43299i | 0.222405 | + | 0.684492i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −5.80086 | −0.719508 | ||||||||
\(66\) | 6.57064 | − | 7.25707i | 0.808789 | − | 0.893284i | ||||
\(67\) | −6.73018 | −0.822223 | −0.411111 | − | 0.911585i | \(-0.634859\pi\) | ||||
−0.411111 | + | 0.911585i | \(0.634859\pi\) | |||||||
\(68\) | 0.380053 | − | 0.276124i | 0.0460881 | − | 0.0334850i | ||||
\(69\) | 7.02183 | + | 21.6110i | 0.845329 | + | 2.60166i | ||||
\(70\) | −0.309017 | + | 0.951057i | −0.0369346 | + | 0.113673i | ||||
\(71\) | −9.29195 | − | 6.75100i | −1.10275 | − | 0.801196i | −0.121245 | − | 0.992623i | \(-0.538689\pi\) |
−0.981507 | + | 0.191427i | \(0.938689\pi\) | |||||||
\(72\) | −4.62157 | − | 3.35777i | −0.544658 | − | 0.395717i | ||||
\(73\) | 3.78691 | − | 11.6549i | 0.443225 | − | 1.36410i | −0.441195 | − | 0.897411i | \(-0.645445\pi\) |
0.884419 | − | 0.466693i | \(-0.154555\pi\) | |||||||
\(74\) | −1.40934 | − | 4.33749i | −0.163832 | − | 0.504223i | ||||
\(75\) | 2.38798 | − | 1.73497i | 0.275740 | − | 0.200337i | ||||
\(76\) | −4.04523 | −0.464020 | ||||||||
\(77\) | −3.02615 | − | 1.35735i | −0.344862 | − | 0.154684i | ||||
\(78\) | −17.1224 | −1.93873 | ||||||||
\(79\) | −3.19789 | + | 2.32340i | −0.359791 | + | 0.261403i | −0.752965 | − | 0.658061i | \(-0.771377\pi\) |
0.393174 | + | 0.919464i | \(0.371377\pi\) | |||||||
\(80\) | −0.309017 | − | 0.951057i | −0.0345492 | − | 0.106331i | ||||
\(81\) | 2.00732 | − | 6.17789i | 0.223035 | − | 0.686432i | ||||
\(82\) | −1.47624 | − | 1.07255i | −0.163023 | − | 0.118443i | ||||
\(83\) | 7.64360 | + | 5.55340i | 0.838994 | + | 0.609565i | 0.922089 | − | 0.386977i | \(-0.126481\pi\) |
−0.0830954 | + | 0.996542i | \(0.526481\pi\) | |||||||
\(84\) | −0.912128 | + | 2.80724i | −0.0995213 | + | 0.306295i | ||||
\(85\) | 0.145167 | + | 0.446779i | 0.0157456 | + | 0.0484599i | ||||
\(86\) | 0.639704 | − | 0.464772i | 0.0689810 | − | 0.0501176i | ||||
\(87\) | −7.77222 | −0.833269 | ||||||||
\(88\) | 3.24604 | − | 0.680614i | 0.346029 | − | 0.0725537i | ||||
\(89\) | −11.2766 | −1.19532 | −0.597659 | − | 0.801751i | \(-0.703902\pi\) | ||||
−0.597659 | + | 0.801751i | \(0.703902\pi\) | |||||||
\(90\) | 4.62157 | − | 3.35777i | 0.487157 | − | 0.353940i | ||||
\(91\) | 1.79256 | + | 5.51694i | 0.187912 | + | 0.578333i | ||||
\(92\) | −2.37891 | + | 7.32152i | −0.248018 | + | 0.763321i | ||||
\(93\) | −7.69276 | − | 5.58912i | −0.797702 | − | 0.579565i | ||||
\(94\) | 3.46718 | + | 2.51906i | 0.357613 | + | 0.259821i | ||||
\(95\) | 1.25005 | − | 3.84724i | 0.128252 | − | 0.394719i | ||||
\(96\) | −0.912128 | − | 2.80724i | −0.0930937 | − | 0.286513i | ||||
\(97\) | 13.5518 | − | 9.84599i | 1.37598 | − | 0.999709i | 0.378739 | − | 0.925504i | \(-0.376358\pi\) |
0.997243 | − | 0.0742056i | \(-0.0236421\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 9.42794 | + | 16.4342i | 0.947544 | + | 1.65170i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 6.93358 | − | 5.03754i | 0.689917 | − | 0.501254i | −0.186716 | − | 0.982414i | \(-0.559784\pi\) |
0.876633 | + | 0.481160i | \(0.159784\pi\) | |||||||
\(102\) | 0.428491 | + | 1.31876i | 0.0424269 | + | 0.130577i | ||||
\(103\) | 0.742064 | − | 2.28384i | 0.0731177 | − | 0.225033i | −0.907818 | − | 0.419363i | \(-0.862253\pi\) |
0.980936 | + | 0.194330i | \(0.0622533\pi\) | |||||||
\(104\) | −4.69299 | − | 3.40966i | −0.460186 | − | 0.334344i | ||||
\(105\) | −2.38798 | − | 1.73497i | −0.233043 | − | 0.169316i | ||||
\(106\) | 4.30772 | − | 13.2578i | 0.418403 | − | 1.28771i | ||||
\(107\) | 1.87315 | + | 5.76496i | 0.181084 | + | 0.557320i | 0.999859 | − | 0.0167951i | \(-0.00534630\pi\) |
−0.818775 | + | 0.574115i | \(0.805346\pi\) | |||||||
\(108\) | 6.47759 | − | 4.70624i | 0.623306 | − | 0.452859i | ||||
\(109\) | 10.8776 | 1.04188 | 0.520942 | − | 0.853592i | \(-0.325581\pi\) | ||||
0.520942 | + | 0.853592i | \(0.325581\pi\) | |||||||
\(110\) | −0.355779 | + | 3.29749i | −0.0339222 | + | 0.314403i | ||||
\(111\) | 13.4619 | 1.27774 | ||||||||
\(112\) | −0.809017 | + | 0.587785i | −0.0764449 | + | 0.0555405i | ||||
\(113\) | −2.01667 | − | 6.20668i | −0.189713 | − | 0.583875i | 0.810285 | − | 0.586036i | \(-0.199312\pi\) |
−0.999998 | + | 0.00216065i | \(0.999312\pi\) | |||||||
\(114\) | 3.68977 | − | 11.3559i | 0.345578 | − | 1.06358i | ||||
\(115\) | −6.22805 | − | 4.52495i | −0.580769 | − | 0.421953i | ||||
\(116\) | −2.13024 | − | 1.54771i | −0.197788 | − | 0.143702i | ||||
\(117\) | 10.2402 | − | 31.5160i | 0.946703 | − | 2.91365i | ||||
\(118\) | −4.02897 | − | 12.3999i | −0.370897 | − | 1.14150i | ||||
\(119\) | 0.380053 | − | 0.276124i | 0.0348394 | − | 0.0253123i | ||||
\(120\) | 2.95171 | 0.269453 | ||||||||
\(121\) | −10.7468 | − | 2.34635i | −0.976986 | − | 0.213305i | ||||
\(122\) | −6.69651 | −0.606274 | ||||||||
\(123\) | 4.35742 | − | 3.16585i | 0.392895 | − | 0.285455i | ||||
\(124\) | −0.995482 | − | 3.06378i | −0.0893970 | − | 0.275136i | ||||
\(125\) | −0.309017 | + | 0.951057i | −0.0276393 | + | 0.0850651i | ||||
\(126\) | −4.62157 | − | 3.35777i | −0.411722 | − | 0.299134i | ||||
\(127\) | 3.27438 | + | 2.37898i | 0.290554 | + | 0.211100i | 0.723508 | − | 0.690316i | \(-0.242529\pi\) |
−0.432954 | + | 0.901416i | \(0.642529\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 0.721235 | + | 2.21973i | 0.0635012 | + | 0.195437i | ||||
\(130\) | 4.69299 | − | 3.40966i | 0.411603 | − | 0.299047i | ||||
\(131\) | 9.05921 | 0.791507 | 0.395753 | − | 0.918357i | \(-0.370484\pi\) | ||||
0.395753 | + | 0.918357i | \(0.370484\pi\) | |||||||
\(132\) | −1.05015 | + | 9.73322i | −0.0914042 | + | 0.847168i | ||||
\(133\) | −4.04523 | −0.350766 | ||||||||
\(134\) | 5.44483 | − | 3.95590i | 0.470362 | − | 0.341738i | ||||
\(135\) | 2.47422 | + | 7.61486i | 0.212947 | + | 0.655383i | ||||
\(136\) | −0.145167 | + | 0.446779i | −0.0124480 | + | 0.0383110i | ||||
\(137\) | −14.2590 | − | 10.3597i | −1.21823 | − | 0.885093i | −0.222274 | − | 0.974984i | \(-0.571348\pi\) |
−0.995952 | + | 0.0898917i | \(0.971348\pi\) | |||||||
\(138\) | −18.3834 | − | 13.3563i | −1.56490 | − | 1.13697i | ||||
\(139\) | 5.76834 | − | 17.7531i | 0.489264 | − | 1.50580i | −0.336445 | − | 0.941703i | \(-0.609225\pi\) |
0.825709 | − | 0.564097i | \(-0.190775\pi\) | |||||||
\(140\) | −0.309017 | − | 0.951057i | −0.0261167 | − | 0.0803789i | ||||
\(141\) | −10.2341 | + | 7.43552i | −0.861868 | + | 0.626184i | ||||
\(142\) | 11.4855 | 0.963840 | ||||||||
\(143\) | 9.57364 | + | 16.6882i | 0.800588 | + | 1.39553i | ||||
\(144\) | 5.71258 | 0.476048 | ||||||||
\(145\) | 2.13024 | − | 1.54771i | 0.176907 | − | 0.128531i | ||||
\(146\) | 3.78691 | + | 11.6549i | 0.313407 | + | 0.964568i | ||||
\(147\) | −0.912128 | + | 2.80724i | −0.0752310 | + | 0.231537i | ||||
\(148\) | 3.68969 | + | 2.68072i | 0.303291 | + | 0.220354i | ||||
\(149\) | −10.5461 | − | 7.66218i | −0.863969 | − | 0.627710i | 0.0649927 | − | 0.997886i | \(-0.479298\pi\) |
−0.928962 | + | 0.370175i | \(0.879298\pi\) | |||||||
\(150\) | −0.912128 | + | 2.80724i | −0.0744749 | + | 0.229210i | ||||
\(151\) | −2.83374 | − | 8.72136i | −0.230607 | − | 0.709734i | −0.997674 | − | 0.0681674i | \(-0.978285\pi\) |
0.767067 | − | 0.641567i | \(-0.221715\pi\) | |||||||
\(152\) | 3.27266 | − | 2.37773i | 0.265448 | − | 0.192859i | ||||
\(153\) | −2.68360 | −0.216956 | ||||||||
\(154\) | 3.24604 | − | 0.680614i | 0.261573 | − | 0.0548454i | ||||
\(155\) | 3.22145 | 0.258753 | ||||||||
\(156\) | 13.8523 | − | 10.0643i | 1.10907 | − | 0.805790i | ||||
\(157\) | 2.80064 | + | 8.61948i | 0.223515 | + | 0.687909i | 0.998439 | + | 0.0558544i | \(0.0177883\pi\) |
−0.774924 | + | 0.632055i | \(0.782212\pi\) | |||||||
\(158\) | 1.22149 | − | 3.75935i | 0.0971762 | − | 0.299078i | ||||
\(159\) | 33.2887 | + | 24.1856i | 2.63996 | + | 1.91805i | ||||
\(160\) | 0.809017 | + | 0.587785i | 0.0639584 | + | 0.0464685i | ||||
\(161\) | −2.37891 | + | 7.32152i | −0.187484 | + | 0.577016i | ||||
\(162\) | 2.00732 | + | 6.17789i | 0.157710 | + | 0.485381i | ||||
\(163\) | 1.37306 | − | 0.997585i | 0.107546 | − | 0.0781369i | −0.532712 | − | 0.846296i | \(-0.678827\pi\) |
0.640259 | + | 0.768159i | \(0.278827\pi\) | |||||||
\(164\) | 1.82473 | 0.142487 | ||||||||
\(165\) | −8.93233 | − | 4.00649i | −0.695381 | − | 0.311905i | ||||
\(166\) | −9.44801 | −0.733308 | ||||||||
\(167\) | −16.0624 | + | 11.6700i | −1.24295 | + | 0.903054i | −0.997791 | − | 0.0664300i | \(-0.978839\pi\) |
−0.245156 | + | 0.969484i | \(0.578839\pi\) | |||||||
\(168\) | −0.912128 | − | 2.80724i | −0.0703722 | − | 0.216583i | ||||
\(169\) | 6.38118 | − | 19.6393i | 0.490860 | − | 1.51071i | ||||
\(170\) | −0.380053 | − | 0.276124i | −0.0291487 | − | 0.0211778i | ||||
\(171\) | 18.6953 | + | 13.5830i | 1.42967 | + | 1.03871i | ||||
\(172\) | −0.244345 | + | 0.752017i | −0.0186311 | + | 0.0573407i | ||||
\(173\) | −3.86844 | − | 11.9058i | −0.294112 | − | 0.905185i | −0.983518 | − | 0.180809i | \(-0.942128\pi\) |
0.689406 | − | 0.724375i | \(-0.257872\pi\) | |||||||
\(174\) | 6.28786 | − | 4.56840i | 0.476681 | − | 0.346329i | ||||
\(175\) | 1.00000 | 0.0755929 | ||||||||
\(176\) | −2.22605 | + | 2.45860i | −0.167794 | + | 0.185324i | ||||
\(177\) | 38.4845 | 2.89267 | ||||||||
\(178\) | 9.12296 | − | 6.62822i | 0.683795 | − | 0.496806i | ||||
\(179\) | −5.03316 | − | 15.4905i | −0.376196 | − | 1.15781i | −0.942668 | − | 0.333732i | \(-0.891692\pi\) |
0.566472 | − | 0.824081i | \(-0.308308\pi\) | |||||||
\(180\) | −1.76528 | + | 5.43299i | −0.131576 | + | 0.404951i | ||||
\(181\) | 9.57727 | + | 6.95829i | 0.711873 | + | 0.517206i | 0.883777 | − | 0.467908i | \(-0.154992\pi\) |
−0.171904 | + | 0.985114i | \(0.554992\pi\) | |||||||
\(182\) | −4.69299 | − | 3.40966i | −0.347868 | − | 0.252741i | ||||
\(183\) | 6.10807 | − | 18.7987i | 0.451522 | − | 1.38964i | ||||
\(184\) | −2.37891 | − | 7.32152i | −0.175375 | − | 0.539749i | ||||
\(185\) | −3.68969 | + | 2.68072i | −0.271271 | + | 0.197090i | ||||
\(186\) | 9.50878 | 0.697217 | ||||||||
\(187\) | 1.04573 | − | 1.15498i | 0.0764714 | − | 0.0844605i | ||||
\(188\) | −4.28567 | −0.312565 | ||||||||
\(189\) | 6.47759 | − | 4.70624i | 0.471175 | − | 0.342329i | ||||
\(190\) | 1.25005 | + | 3.84724i | 0.0906878 | + | 0.279108i | ||||
\(191\) | −8.44687 | + | 25.9968i | −0.611194 | + | 1.88106i | −0.164493 | + | 0.986378i | \(0.552599\pi\) |
−0.446701 | + | 0.894683i | \(0.647401\pi\) | |||||||
\(192\) | 2.38798 | + | 1.73497i | 0.172338 | + | 0.125211i | ||||
\(193\) | −13.6346 | − | 9.90612i | −0.981441 | − | 0.713058i | −0.0234104 | − | 0.999726i | \(-0.507452\pi\) |
−0.958030 | + | 0.286668i | \(0.907452\pi\) | |||||||
\(194\) | −5.17635 | + | 15.9312i | −0.371640 | + | 1.14379i | ||||
\(195\) | 5.29112 | + | 16.2844i | 0.378905 | + | 1.16615i | ||||
\(196\) | −0.809017 | + | 0.587785i | −0.0577869 | + | 0.0419847i | ||||
\(197\) | −4.65860 | −0.331911 | −0.165956 | − | 0.986133i | \(-0.553071\pi\) | ||||
−0.165956 | + | 0.986133i | \(0.553071\pi\) | |||||||
\(198\) | −17.2871 | − | 7.75394i | −1.22854 | − | 0.551049i | ||||
\(199\) | −12.2080 | −0.865404 | −0.432702 | − | 0.901537i | \(-0.642440\pi\) | ||||
−0.432702 | + | 0.901537i | \(0.642440\pi\) | |||||||
\(200\) | −0.809017 | + | 0.587785i | −0.0572061 | + | 0.0415627i | ||||
\(201\) | 6.13879 | + | 18.8932i | 0.432997 | + | 1.33263i | ||||
\(202\) | −2.64839 | + | 8.15091i | −0.186340 | + | 0.573496i | ||||
\(203\) | −2.13024 | − | 1.54771i | −0.149514 | − | 0.108628i | ||||
\(204\) | −1.12180 | − | 0.815038i | −0.0785420 | − | 0.0570641i | ||||
\(205\) | −0.563872 | + | 1.73542i | −0.0393825 | + | 0.121207i | ||||
\(206\) | 0.742064 | + | 2.28384i | 0.0517020 | + | 0.159122i | ||||
\(207\) | 35.5783 | − | 25.8491i | 2.47286 | − | 1.79664i | ||||
\(208\) | 5.80086 | 0.402217 | ||||||||
\(209\) | −13.1310 | + | 2.75324i | −0.908289 | + | 0.190446i | ||||
\(210\) | 2.95171 | 0.203687 | ||||||||
\(211\) | 6.36608 | − | 4.62522i | 0.438259 | − | 0.318414i | −0.346684 | − | 0.937982i | \(-0.612692\pi\) |
0.784943 | + | 0.619568i | \(0.212692\pi\) | |||||||
\(212\) | 4.30772 | + | 13.2578i | 0.295856 | + | 0.910550i | ||||
\(213\) | −10.4762 | + | 32.2425i | −0.717819 | + | 2.20922i | ||||
\(214\) | −4.90397 | − | 3.56294i | −0.335228 | − | 0.243558i | ||||
\(215\) | −0.639704 | − | 0.464772i | −0.0436274 | − | 0.0316972i | ||||
\(216\) | −2.47422 | + | 7.61486i | −0.168349 | + | 0.518126i | ||||
\(217\) | −0.995482 | − | 3.06378i | −0.0675778 | − | 0.207983i | ||||
\(218\) | −8.80015 | + | 6.39369i | −0.596022 | + | 0.433035i | ||||
\(219\) | −36.1723 | −2.44430 | ||||||||
\(220\) | −1.65038 | − | 2.87684i | −0.111269 | − | 0.193957i | ||||
\(221\) | −2.72507 | −0.183308 | ||||||||
\(222\) | −10.8909 | + | 7.91269i | −0.730948 | + | 0.531065i | ||||
\(223\) | −7.37480 | − | 22.6973i | −0.493853 | − | 1.51992i | −0.818736 | − | 0.574170i | \(-0.805325\pi\) |
0.324883 | − | 0.945754i | \(-0.394675\pi\) | |||||||
\(224\) | 0.309017 | − | 0.951057i | 0.0206471 | − | 0.0635451i | ||||
\(225\) | −4.62157 | − | 3.35777i | −0.308105 | − | 0.223851i | ||||
\(226\) | 5.27972 | + | 3.83594i | 0.351202 | + | 0.255163i | ||||
\(227\) | 7.01614 | − | 21.5935i | 0.465677 | − | 1.43321i | −0.392451 | − | 0.919773i | \(-0.628373\pi\) |
0.858128 | − | 0.513435i | \(-0.171627\pi\) | |||||||
\(228\) | 3.68977 | + | 11.3559i | 0.244361 | + | 0.752065i | ||||
\(229\) | 12.8394 | − | 9.32835i | 0.848450 | − | 0.616435i | −0.0762684 | − | 0.997087i | \(-0.524301\pi\) |
0.924718 | + | 0.380653i | \(0.124301\pi\) | |||||||
\(230\) | 7.69830 | 0.507611 | ||||||||
\(231\) | −1.05015 | + | 9.73322i | −0.0690951 | + | 0.640399i | ||||
\(232\) | 2.63313 | 0.172873 | ||||||||
\(233\) | 23.6579 | − | 17.1885i | 1.54988 | − | 1.12605i | 0.606146 | − | 0.795353i | \(-0.292715\pi\) |
0.943735 | − | 0.330701i | \(-0.107285\pi\) | |||||||
\(234\) | 10.2402 | + | 31.5160i | 0.669420 | + | 2.06026i | ||||
\(235\) | 1.32435 | − | 4.07592i | 0.0863908 | − | 0.265884i | ||||
\(236\) | 10.5480 | + | 7.66356i | 0.686615 | + | 0.498855i | ||||
\(237\) | 9.43924 | + | 6.85801i | 0.613145 | + | 0.445476i | ||||
\(238\) | −0.145167 | + | 0.446779i | −0.00940979 | + | 0.0289604i | ||||
\(239\) | −2.69700 | − | 8.30051i | −0.174454 | − | 0.536915i | 0.825154 | − | 0.564908i | \(-0.191088\pi\) |
−0.999608 | + | 0.0279929i | \(0.991088\pi\) | |||||||
\(240\) | −2.38798 | + | 1.73497i | −0.154144 | + | 0.111992i | ||||
\(241\) | −9.58858 | −0.617655 | −0.308828 | − | 0.951118i | \(-0.599937\pi\) | ||||
−0.308828 | + | 0.951118i | \(0.599937\pi\) | |||||||
\(242\) | 10.0735 | − | 4.41860i | 0.647551 | − | 0.284038i | ||||
\(243\) | 4.84646 | 0.310900 | ||||||||
\(244\) | 5.41759 | − | 3.93611i | 0.346826 | − | 0.251984i | ||||
\(245\) | −0.309017 | − | 0.951057i | −0.0197424 | − | 0.0607608i | ||||
\(246\) | −1.66439 | + | 5.12245i | −0.106117 | + | 0.326596i | ||||
\(247\) | 18.9842 | + | 13.7929i | 1.20794 | + | 0.877618i | ||||
\(248\) | 2.60621 | + | 1.89352i | 0.165494 | + | 0.120239i | ||||
\(249\) | 8.61779 | − | 26.5228i | 0.546130 | − | 1.68082i | ||||
\(250\) | −0.309017 | − | 0.951057i | −0.0195440 | − | 0.0601501i | ||||
\(251\) | −2.18486 | + | 1.58740i | −0.137907 | + | 0.100196i | −0.654600 | − | 0.755975i | \(-0.727163\pi\) |
0.516693 | + | 0.856171i | \(0.327163\pi\) | |||||||
\(252\) | 5.71258 | 0.359859 | ||||||||
\(253\) | −2.73889 | + | 25.3850i | −0.172193 | + | 1.59594i | ||||
\(254\) | −4.04736 | −0.253954 | ||||||||
\(255\) | 1.12180 | − | 0.815038i | 0.0702501 | − | 0.0510397i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 2.75904 | − | 8.49146i | 0.172104 | − | 0.529682i | −0.827385 | − | 0.561635i | \(-0.810173\pi\) |
0.999489 | + | 0.0319525i | \(0.0101725\pi\) | |||||||
\(258\) | −1.88822 | − | 1.37187i | −0.117555 | − | 0.0854090i | ||||
\(259\) | 3.68969 | + | 2.68072i | 0.229266 | + | 0.166572i | ||||
\(260\) | −1.79256 | + | 5.51694i | −0.111170 | + | 0.342146i | ||||
\(261\) | 4.64822 | + | 14.3057i | 0.287717 | + | 0.885503i | ||||
\(262\) | −7.32905 | + | 5.32487i | −0.452790 | + | 0.328971i | ||||
\(263\) | 0.182846 | 0.0112748 | 0.00563739 | − | 0.999984i | \(-0.498206\pi\) | ||||
0.00563739 | + | 0.999984i | \(0.498206\pi\) | |||||||
\(264\) | −4.87145 | − | 8.49160i | −0.299817 | − | 0.522622i | ||||
\(265\) | −13.9401 | −0.856333 | ||||||||
\(266\) | 3.27266 | − | 2.37773i | 0.200660 | − | 0.145788i | ||||
\(267\) | 10.2857 | + | 31.6561i | 0.629475 | + | 1.93732i | ||||
\(268\) | −2.07974 | + | 6.40079i | −0.127040 | + | 0.390990i | ||||
\(269\) | 4.62385 | + | 3.35942i | 0.281921 | + | 0.204828i | 0.719755 | − | 0.694228i | \(-0.244254\pi\) |
−0.437834 | + | 0.899056i | \(0.644254\pi\) | |||||||
\(270\) | −6.47759 | − | 4.70624i | −0.394213 | − | 0.286413i | ||||
\(271\) | −0.958200 | + | 2.94904i | −0.0582065 | + | 0.179141i | −0.975932 | − | 0.218073i | \(-0.930023\pi\) |
0.917726 | + | 0.397214i | \(0.130023\pi\) | |||||||
\(272\) | −0.145167 | − | 0.446779i | −0.00880205 | − | 0.0270899i | ||||
\(273\) | 13.8523 | − | 10.0643i | 0.838382 | − | 0.609120i | ||||
\(274\) | 17.6250 | 1.06477 | ||||||||
\(275\) | 3.24604 | − | 0.680614i | 0.195743 | − | 0.0410426i | ||||
\(276\) | 22.7231 | 1.36777 | ||||||||
\(277\) | −17.3882 | + | 12.6332i | −1.04475 | + | 0.759058i | −0.971208 | − | 0.238234i | \(-0.923432\pi\) |
−0.0735459 | + | 0.997292i | \(0.523432\pi\) | |||||||
\(278\) | 5.76834 | + | 17.7531i | 0.345962 | + | 1.06476i | ||||
\(279\) | −5.68677 | + | 17.5021i | −0.340458 | + | 1.04782i | ||||
\(280\) | 0.809017 | + | 0.587785i | 0.0483480 | + | 0.0351269i | ||||
\(281\) | 9.51149 | + | 6.91050i | 0.567408 | + | 0.412246i | 0.834163 | − | 0.551518i | \(-0.185951\pi\) |
−0.266755 | + | 0.963764i | \(0.585951\pi\) | |||||||
\(282\) | 3.90908 | − | 12.0309i | 0.232782 | − | 0.716431i | ||||
\(283\) | 1.19879 | + | 3.68948i | 0.0712604 | + | 0.219317i | 0.980344 | − | 0.197297i | \(-0.0632165\pi\) |
−0.909083 | + | 0.416615i | \(0.863216\pi\) | |||||||
\(284\) | −9.29195 | + | 6.75100i | −0.551376 | + | 0.400598i | ||||
\(285\) | −11.9403 | −0.707285 | ||||||||
\(286\) | −17.5543 | − | 7.87377i | −1.03801 | − | 0.465586i | ||||
\(287\) | 1.82473 | 0.107710 | ||||||||
\(288\) | −4.62157 | + | 3.35777i | −0.272329 | + | 0.197858i | ||||
\(289\) | −5.18509 | − | 15.9581i | −0.305006 | − | 0.938710i | ||||
\(290\) | −0.813681 | + | 2.50425i | −0.0477810 | + | 0.147055i | ||||
\(291\) | −40.0011 | − | 29.0625i | −2.34491 | − | 1.70367i | ||||
\(292\) | −9.91426 | − | 7.20313i | −0.580188 | − | 0.421532i | ||||
\(293\) | −9.45846 | + | 29.1101i | −0.552569 | + | 1.70063i | 0.149709 | + | 0.988730i | \(0.452166\pi\) |
−0.702278 | + | 0.711903i | \(0.747834\pi\) | |||||||
\(294\) | −0.912128 | − | 2.80724i | −0.0531964 | − | 0.163722i | ||||
\(295\) | −10.5480 | + | 7.66356i | −0.614128 | + | 0.446190i | ||||
\(296\) | −4.56071 | −0.265086 | ||||||||
\(297\) | 17.8234 | − | 19.6854i | 1.03422 | − | 1.14226i | ||||
\(298\) | 13.0357 | 0.755137 | ||||||||
\(299\) | 36.1281 | − | 26.2486i | 2.08934 | − | 1.51799i | ||||
\(300\) | −0.912128 | − | 2.80724i | −0.0526617 | − | 0.162076i | ||||
\(301\) | −0.244345 | + | 0.752017i | −0.0140838 | + | 0.0433455i | ||||
\(302\) | 7.41883 | + | 5.39010i | 0.426906 | + | 0.310165i | ||||
\(303\) | −20.4659 | − | 14.8693i | −1.17573 | − | 0.854221i | ||||
\(304\) | −1.25005 | + | 3.84724i | −0.0716950 | + | 0.220655i | ||||
\(305\) | 2.06934 | + | 6.36876i | 0.118490 | + | 0.364674i | ||||
\(306\) | 2.17108 | − | 1.57738i | 0.124112 | − | 0.0901729i | ||||
\(307\) | −2.56751 | −0.146536 | −0.0732678 | − | 0.997312i | \(-0.523343\pi\) | ||||
−0.0732678 | + | 0.997312i | \(0.523343\pi\) | |||||||
\(308\) | −2.22605 | + | 2.45860i | −0.126841 | + | 0.140092i | ||||
\(309\) | −7.08814 | −0.403230 | ||||||||
\(310\) | −2.60621 | + | 1.89352i | −0.148023 | + | 0.107545i | ||||
\(311\) | −10.0518 | − | 30.9364i | −0.569987 | − | 1.75424i | −0.652646 | − | 0.757663i | \(-0.726341\pi\) |
0.0826588 | − | 0.996578i | \(-0.473659\pi\) | |||||||
\(312\) | −5.29112 | + | 16.2844i | −0.299551 | + | 0.921923i | ||||
\(313\) | 6.30013 | + | 4.57731i | 0.356104 | + | 0.258725i | 0.751425 | − | 0.659818i | \(-0.229367\pi\) |
−0.395321 | + | 0.918543i | \(0.629367\pi\) | |||||||
\(314\) | −7.33217 | − | 5.32713i | −0.413778 | − | 0.300627i | ||||
\(315\) | −1.76528 | + | 5.43299i | −0.0994625 | + | 0.306114i | ||||
\(316\) | 1.22149 | + | 3.75935i | 0.0687140 | + | 0.211480i | ||||
\(317\) | 14.1321 | − | 10.2675i | 0.793736 | − | 0.576683i | −0.115334 | − | 0.993327i | \(-0.536794\pi\) |
0.909070 | + | 0.416644i | \(0.136794\pi\) | |||||||
\(318\) | −41.1471 | −2.30741 | ||||||||
\(319\) | −7.96825 | − | 3.57406i | −0.446136 | − | 0.200109i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | 14.4751 | − | 10.5168i | 0.807920 | − | 0.586988i | ||||
\(322\) | −2.37891 | − | 7.32152i | −0.132571 | − | 0.408012i | ||||
\(323\) | 0.587235 | − | 1.80732i | 0.0326746 | − | 0.100562i | ||||
\(324\) | −5.25523 | − | 3.81815i | −0.291957 | − | 0.212119i | ||||
\(325\) | −4.69299 | − | 3.40966i | −0.260320 | − | 0.189134i | ||||
\(326\) | −0.524462 | + | 1.61413i | −0.0290472 | + | 0.0893982i | ||||
\(327\) | −9.92175 | − | 30.5360i | −0.548674 | − | 1.68865i | ||||
\(328\) | −1.47624 | + | 1.07255i | −0.0815115 | + | 0.0592216i | ||||
\(329\) | −4.28567 | −0.236277 | ||||||||
\(330\) | 9.58136 | − | 2.00897i | 0.527436 | − | 0.110590i | ||||
\(331\) | −2.01742 | −0.110887 | −0.0554437 | − | 0.998462i | \(-0.517657\pi\) | ||||
−0.0554437 | + | 0.998462i | \(0.517657\pi\) | |||||||
\(332\) | 7.64360 | − | 5.55340i | 0.419497 | − | 0.304782i | ||||
\(333\) | −8.05094 | − | 24.7783i | −0.441189 | − | 1.35784i | ||||
\(334\) | 6.13530 | − | 18.8825i | 0.335708 | − | 1.03320i | ||||
\(335\) | −5.44483 | − | 3.95590i | −0.297483 | − | 0.216134i | ||||
\(336\) | 2.38798 | + | 1.73497i | 0.130275 | + | 0.0946504i | ||||
\(337\) | 7.21021 | − | 22.1908i | 0.392765 | − | 1.20881i | −0.537923 | − | 0.842994i | \(-0.680791\pi\) |
0.930688 | − | 0.365813i | \(-0.119209\pi\) | |||||||
\(338\) | 6.38118 | + | 19.6393i | 0.347091 | + | 1.06823i | ||||
\(339\) | −15.5842 | + | 11.3226i | −0.846416 | + | 0.614958i | ||||
\(340\) | 0.469771 | 0.0254769 | ||||||||
\(341\) | −5.31663 | − | 9.26761i | −0.287911 | − | 0.501869i | ||||
\(342\) | −23.1087 | −1.24958 | ||||||||
\(343\) | −0.809017 | + | 0.587785i | −0.0436828 | + | 0.0317374i | ||||
\(344\) | −0.244345 | − | 0.752017i | −0.0131742 | − | 0.0405460i | ||||
\(345\) | −7.02183 | + | 21.6110i | −0.378043 | + | 1.16350i | ||||
\(346\) | 10.1277 | + | 7.35822i | 0.544469 | + | 0.395580i | ||||
\(347\) | −6.64391 | − | 4.82708i | −0.356664 | − | 0.259131i | 0.394996 | − | 0.918683i | \(-0.370746\pi\) |
−0.751659 | + | 0.659552i | \(0.770746\pi\) | |||||||
\(348\) | −2.40175 | + | 7.39182i | −0.128747 | + | 0.396243i | ||||
\(349\) | −5.43962 | − | 16.7414i | −0.291176 | − | 0.896148i | −0.984479 | − | 0.175502i | \(-0.943845\pi\) |
0.693303 | − | 0.720646i | \(-0.256155\pi\) | |||||||
\(350\) | −0.809017 | + | 0.587785i | −0.0432438 | + | 0.0314184i | ||||
\(351\) | −46.4460 | −2.47910 | ||||||||
\(352\) | 0.355779 | − | 3.29749i | 0.0189631 | − | 0.175757i | ||||
\(353\) | −34.5532 | −1.83908 | −0.919541 | − | 0.392994i | \(-0.871439\pi\) | ||||
−0.919541 | + | 0.392994i | \(0.871439\pi\) | |||||||
\(354\) | −31.1346 | + | 22.6206i | −1.65478 | + | 1.20227i | ||||
\(355\) | −3.54921 | − | 10.9233i | −0.188372 | − | 0.579751i | ||||
\(356\) | −3.48466 | + | 10.7247i | −0.184687 | + | 0.568407i | ||||
\(357\) | −1.12180 | − | 0.815038i | −0.0593722 | − | 0.0431364i | ||||
\(358\) | 13.1770 | + | 9.57364i | 0.696425 | + | 0.505983i | ||||
\(359\) | −2.58431 | + | 7.95370i | −0.136395 | + | 0.419780i | −0.995804 | − | 0.0915076i | \(-0.970831\pi\) |
0.859409 | + | 0.511288i | \(0.170831\pi\) | |||||||
\(360\) | −1.76528 | − | 5.43299i | −0.0930386 | − | 0.286343i | ||||
\(361\) | 2.13265 | − | 1.54946i | 0.112245 | − | 0.0815507i | ||||
\(362\) | −11.8382 | −0.622200 | ||||||||
\(363\) | 3.21572 | + | 32.3092i | 0.168782 | + | 1.69579i | ||||
\(364\) | 5.80086 | 0.304048 | ||||||||
\(365\) | 9.91426 | − | 7.20313i | 0.518936 | − | 0.377029i | ||||
\(366\) | 6.10807 | + | 18.7987i | 0.319274 | + | 0.982625i | ||||
\(367\) | 5.33662 | − | 16.4244i | 0.278569 | − | 0.857349i | −0.709683 | − | 0.704521i | \(-0.751162\pi\) |
0.988253 | − | 0.152828i | \(-0.0488380\pi\) | |||||||
\(368\) | 6.22805 | + | 4.52495i | 0.324660 | + | 0.235879i | ||||
\(369\) | −8.43312 | − | 6.12702i | −0.439011 | − | 0.318960i | ||||
\(370\) | 1.40934 | − | 4.33749i | 0.0732679 | − | 0.225495i | ||||
\(371\) | 4.30772 | + | 13.2578i | 0.223646 | + | 0.688311i | ||||
\(372\) | −7.69276 | + | 5.58912i | −0.398851 | + | 0.289782i | ||||
\(373\) | −22.9242 | −1.18697 | −0.593486 | − | 0.804844i | \(-0.702249\pi\) | ||||
−0.593486 | + | 0.804844i | \(0.702249\pi\) | |||||||
\(374\) | −0.167134 | + | 1.54906i | −0.00864232 | + | 0.0801002i | ||||
\(375\) | 2.95171 | 0.152426 | ||||||||
\(376\) | 3.46718 | − | 2.51906i | 0.178806 | − | 0.129910i | ||||
\(377\) | 4.72005 | + | 14.5268i | 0.243095 | + | 0.748169i | ||||
\(378\) | −2.47422 | + | 7.61486i | −0.127260 | + | 0.391666i | ||||
\(379\) | −3.08947 | − | 2.24463i | −0.158696 | − | 0.115299i | 0.505603 | − | 0.862766i | \(-0.331270\pi\) |
−0.664299 | + | 0.747467i | \(0.731270\pi\) | |||||||
\(380\) | −3.27266 | − | 2.37773i | −0.167884 | − | 0.121975i | ||||
\(381\) | 3.69171 | − | 11.3619i | 0.189132 | − | 0.582088i | ||||
\(382\) | −8.44687 | − | 25.9968i | −0.432179 | − | 1.33011i | ||||
\(383\) | 9.49579 | − | 6.89910i | 0.485212 | − | 0.352527i | −0.318128 | − | 0.948048i | \(-0.603054\pi\) |
0.803340 | + | 0.595520i | \(0.203054\pi\) | |||||||
\(384\) | −2.95171 | −0.150629 | ||||||||
\(385\) | −1.65038 | − | 2.87684i | −0.0841113 | − | 0.146618i | ||||
\(386\) | 16.8533 | 0.857810 | ||||||||
\(387\) | 3.65436 | − | 2.65505i | 0.185761 | − | 0.134964i | ||||
\(388\) | −5.17635 | − | 15.9312i | −0.262789 | − | 0.808782i | ||||
\(389\) | −2.46329 | + | 7.58123i | −0.124894 | + | 0.384384i | −0.993882 | − | 0.110450i | \(-0.964771\pi\) |
0.868988 | + | 0.494833i | \(0.164771\pi\) | |||||||
\(390\) | −13.8523 | − | 10.0643i | −0.701441 | − | 0.509626i | ||||
\(391\) | −2.92576 | − | 2.12569i | −0.147962 | − | 0.107501i | ||||
\(392\) | 0.309017 | − | 0.951057i | 0.0156077 | − | 0.0480356i | ||||
\(393\) | −8.26316 | − | 25.4314i | −0.416821 | − | 1.28284i | ||||
\(394\) | 3.76888 | − | 2.73826i | 0.189874 | − | 0.137951i | ||||
\(395\) | −3.95281 | −0.198888 | ||||||||
\(396\) | 18.5432 | − | 3.88806i | 0.931833 | − | 0.195382i | ||||
\(397\) | 0.554176 | 0.0278133 | 0.0139066 | − | 0.999903i | \(-0.495573\pi\) | ||||
0.0139066 | + | 0.999903i | \(0.495573\pi\) | |||||||
\(398\) | 9.87650 | − | 7.17570i | 0.495064 | − | 0.359685i | ||||
\(399\) | 3.68977 | + | 11.3559i | 0.184719 | + | 0.568508i | ||||
\(400\) | 0.309017 | − | 0.951057i | 0.0154508 | − | 0.0475528i | ||||
\(401\) | 9.58036 | + | 6.96054i | 0.478420 | + | 0.347593i | 0.800714 | − | 0.599047i | \(-0.204454\pi\) |
−0.322293 | + | 0.946640i | \(0.604454\pi\) | |||||||
\(402\) | −16.0716 | − | 11.6767i | −0.801576 | − | 0.582379i | ||||
\(403\) | −5.77465 | + | 17.7725i | −0.287656 | + | 0.885314i | ||||
\(404\) | −2.64839 | − | 8.15091i | −0.131762 | − | 0.405523i | ||||
\(405\) | 5.25523 | − | 3.81815i | 0.261134 | − | 0.189725i | ||||
\(406\) | 2.63313 | 0.130680 | ||||||||
\(407\) | 13.8014 | + | 6.19045i | 0.684110 | + | 0.306849i | ||||
\(408\) | 1.38663 | 0.0686482 | ||||||||
\(409\) | 6.77783 | − | 4.92438i | 0.335142 | − | 0.243495i | −0.407467 | − | 0.913220i | \(-0.633588\pi\) |
0.742609 | + | 0.669725i | \(0.233588\pi\) | |||||||
\(410\) | −0.563872 | − | 1.73542i | −0.0278477 | − | 0.0857063i | ||||
\(411\) | −16.0763 | + | 49.4778i | −0.792985 | + | 2.44056i | ||||
\(412\) | −1.94275 | − | 1.41149i | −0.0957123 | − | 0.0695391i | ||||
\(413\) | 10.5480 | + | 7.66356i | 0.519033 | + | 0.377099i | ||||
\(414\) | −13.5897 | + | 41.8247i | −0.667896 | + | 2.05557i | ||||
\(415\) | 2.91960 | + | 8.98559i | 0.143317 | + | 0.441085i | ||||
\(416\) | −4.69299 | + | 3.40966i | −0.230093 | + | 0.167172i | ||||
\(417\) | −55.0987 | −2.69820 | ||||||||
\(418\) | 9.00487 | − | 9.94561i | 0.440442 | − | 0.486456i | ||||
\(419\) | −25.1963 | −1.23092 | −0.615461 | − | 0.788167i | \(-0.711030\pi\) | ||||
−0.615461 | + | 0.788167i | \(0.711030\pi\) | |||||||
\(420\) | −2.38798 | + | 1.73497i | −0.116522 | + | 0.0846579i | ||||
\(421\) | 8.35379 | + | 25.7103i | 0.407139 | + | 1.25304i | 0.919096 | + | 0.394033i | \(0.128921\pi\) |
−0.511957 | + | 0.859011i | \(0.671079\pi\) | |||||||
\(422\) | −2.43162 | + | 7.48377i | −0.118370 | + | 0.364304i | ||||
\(423\) | 19.8066 | + | 14.3903i | 0.963028 | + | 0.699681i | ||||
\(424\) | −11.2778 | − | 8.19378i | −0.547697 | − | 0.397925i | ||||
\(425\) | −0.145167 | + | 0.446779i | −0.00704164 | + | 0.0216719i | ||||
\(426\) | −10.4762 | − | 32.2425i | −0.507575 | − | 1.56215i | ||||
\(427\) | 5.41759 | − | 3.93611i | 0.262176 | − | 0.190482i | ||||
\(428\) | 6.06164 | 0.293000 | ||||||||
\(429\) | 38.1153 | − | 42.0972i | 1.84022 | − | 2.03247i | ||||
\(430\) | 0.790717 | 0.0381318 | ||||||||
\(431\) | −13.2906 | + | 9.65615i | −0.640183 | + | 0.465120i | −0.859913 | − | 0.510440i | \(-0.829482\pi\) |
0.219730 | + | 0.975561i | \(0.429482\pi\) | |||||||
\(432\) | −2.47422 | − | 7.61486i | −0.119041 | − | 0.366370i | ||||
\(433\) | −3.55065 | + | 10.9278i | −0.170633 | + | 0.525155i | −0.999407 | − | 0.0344284i | \(-0.989039\pi\) |
0.828774 | + | 0.559584i | \(0.189039\pi\) | |||||||
\(434\) | 2.60621 | + | 1.89352i | 0.125102 | + | 0.0908919i | ||||
\(435\) | −6.28786 | − | 4.56840i | −0.301480 | − | 0.219038i | ||||
\(436\) | 3.36136 | − | 10.3452i | 0.160980 | − | 0.495445i | ||||
\(437\) | 9.62322 | + | 29.6172i | 0.460341 | + | 1.41678i | ||||
\(438\) | 29.2640 | − | 21.2615i | 1.39829 | − | 1.01592i | ||||
\(439\) | 36.6689 | 1.75011 | 0.875056 | − | 0.484022i | \(-0.160824\pi\) | ||||
0.875056 | + | 0.484022i | \(0.160824\pi\) | |||||||
\(440\) | 3.02615 | + | 1.35735i | 0.144266 | + | 0.0647089i | ||||
\(441\) | 5.71258 | 0.272028 | ||||||||
\(442\) | 2.20463 | − | 1.60176i | 0.104864 | − | 0.0761879i | ||||
\(443\) | −3.55007 | − | 10.9260i | −0.168669 | − | 0.519110i | 0.830619 | − | 0.556841i | \(-0.187987\pi\) |
−0.999288 | + | 0.0377316i | \(0.987987\pi\) | |||||||
\(444\) | 4.15995 | − | 12.8030i | 0.197422 | − | 0.607604i | ||||
\(445\) | −9.12296 | − | 6.62822i | −0.432470 | − | 0.314208i | ||||
\(446\) | 19.3075 | + | 14.0277i | 0.914236 | + | 0.664231i | ||||
\(447\) | −11.8902 | + | 36.5943i | −0.562388 | + | 1.73085i | ||||
\(448\) | 0.309017 | + | 0.951057i | 0.0145997 | + | 0.0449332i | ||||
\(449\) | 0.955625 | − | 0.694302i | 0.0450987 | − | 0.0327661i | −0.565008 | − | 0.825086i | \(-0.691127\pi\) |
0.610106 | + | 0.792320i | \(0.291127\pi\) | |||||||
\(450\) | 5.71258 | 0.269294 | ||||||||
\(451\) | 5.92314 | − | 1.24194i | 0.278910 | − | 0.0584805i | ||||
\(452\) | −6.52609 | −0.306961 | ||||||||
\(453\) | −21.8982 | + | 15.9100i | −1.02887 | + | 0.747516i | ||||
\(454\) | 7.01614 | + | 21.5935i | 0.329284 | + | 1.01343i | ||||
\(455\) | −1.79256 | + | 5.51694i | −0.0840367 | + | 0.258638i | ||||
\(456\) | −9.65994 | − | 7.01836i | −0.452368 | − | 0.328665i | ||||
\(457\) | 9.05398 | + | 6.57810i | 0.423527 | + | 0.307711i | 0.779056 | − | 0.626955i | \(-0.215699\pi\) |
−0.355528 | + | 0.934666i | \(0.615699\pi\) | |||||||
\(458\) | −4.90420 | + | 15.0936i | −0.229158 | + | 0.705277i | ||||
\(459\) | 1.16232 | + | 3.57724i | 0.0542523 | + | 0.166971i | ||||
\(460\) | −6.22805 | + | 4.52495i | −0.290385 | + | 0.210977i | ||||
\(461\) | 0.438159 | 0.0204071 | 0.0102036 | − | 0.999948i | \(-0.496752\pi\) | ||||
0.0102036 | + | 0.999948i | \(0.496752\pi\) | |||||||
\(462\) | −4.87145 | − | 8.49160i | −0.226640 | − | 0.395065i | ||||
\(463\) | 20.1741 | 0.937570 | 0.468785 | − | 0.883312i | \(-0.344692\pi\) | ||||
0.468785 | + | 0.883312i | \(0.344692\pi\) | |||||||
\(464\) | −2.13024 | + | 1.54771i | −0.0988941 | + | 0.0718508i | ||||
\(465\) | −2.93837 | − | 9.04338i | −0.136264 | − | 0.419377i | ||||
\(466\) | −9.03652 | + | 27.8115i | −0.418609 | + | 1.28834i | ||||
\(467\) | −2.64912 | − | 1.92470i | −0.122587 | − | 0.0890643i | 0.524803 | − | 0.851224i | \(-0.324139\pi\) |
−0.647389 | + | 0.762160i | \(0.724139\pi\) | |||||||
\(468\) | −26.8091 | − | 19.4779i | −1.23925 | − | 0.900368i | ||||
\(469\) | −2.07974 | + | 6.40079i | −0.0960335 | + | 0.295561i | ||||
\(470\) | 1.32435 | + | 4.07592i | 0.0610875 | + | 0.188008i | ||||
\(471\) | 21.6424 | − | 15.7241i | 0.997230 | − | 0.724530i | ||||
\(472\) | −13.0380 | −0.600124 | ||||||||
\(473\) | −0.281320 | + | 2.60738i | −0.0129351 | + | 0.119887i | ||||
\(474\) | −11.6675 | −0.535908 | ||||||||
\(475\) | 3.27266 | − | 2.37773i | 0.150160 | − | 0.109098i | ||||
\(476\) | −0.145167 | − | 0.446779i | −0.00665373 | − | 0.0204781i | ||||
\(477\) | 24.6082 | − | 75.7363i | 1.12673 | − | 3.46773i | ||||
\(478\) | 7.06083 | + | 5.13000i | 0.322955 | + | 0.234641i | ||||
\(479\) | 21.8915 | + | 15.9051i | 1.00025 | + | 0.726724i | 0.962142 | − | 0.272550i | \(-0.0878670\pi\) |
0.0381076 | + | 0.999274i | \(0.487867\pi\) | |||||||
\(480\) | 0.912128 | − | 2.80724i | 0.0416328 | − | 0.128132i | ||||
\(481\) | −8.17536 | − | 25.1612i | −0.372764 | − | 1.14725i | ||||
\(482\) | 7.75733 | − | 5.63603i | 0.353337 | − | 0.256714i | ||||
\(483\) | 22.7231 | 1.03394 | ||||||||
\(484\) | −5.55247 | + | 9.49579i | −0.252385 | + | 0.431627i | ||||
\(485\) | 16.7510 | 0.760624 | ||||||||
\(486\) | −3.92087 | + | 2.84868i | −0.177854 | + | 0.129219i | ||||
\(487\) | 7.94440 | + | 24.4503i | 0.359995 | + | 1.10795i | 0.953056 | + | 0.302794i | \(0.0979192\pi\) |
−0.593061 | + | 0.805157i | \(0.702081\pi\) | |||||||
\(488\) | −2.06934 | + | 6.36876i | −0.0936744 | + | 0.288300i | ||||
\(489\) | −4.05287 | − | 2.94458i | −0.183277 | − | 0.133159i | ||||
\(490\) | 0.809017 | + | 0.587785i | 0.0365477 | + | 0.0265534i | ||||
\(491\) | −8.96397 | + | 27.5883i | −0.404538 | + | 1.24504i | 0.516742 | + | 0.856141i | \(0.327145\pi\) |
−0.921280 | + | 0.388900i | \(0.872855\pi\) | |||||||
\(492\) | −1.66439 | − | 5.12245i | −0.0750363 | − | 0.230938i | ||||
\(493\) | 1.00073 | − | 0.727070i | 0.0450705 | − | 0.0327456i | ||||
\(494\) | −23.4658 | −1.05578 | ||||||||
\(495\) | −2.03241 | + | 18.8372i | −0.0913502 | + | 0.846667i | ||||
\(496\) | −3.22145 | −0.144647 | ||||||||
\(497\) | −9.29195 | + | 6.75100i | −0.416801 | + | 0.302824i | ||||
\(498\) | 8.61779 | + | 26.5228i | 0.386172 | + | 1.18852i | ||||
\(499\) | 7.04866 | − | 21.6935i | 0.315541 | − | 0.971137i | −0.659990 | − | 0.751275i | \(-0.729439\pi\) |
0.975531 | − | 0.219862i | \(-0.0705607\pi\) | |||||||
\(500\) | 0.809017 | + | 0.587785i | 0.0361803 | + | 0.0262866i | ||||
\(501\) | 47.4115 | + | 34.4465i | 2.11819 | + | 1.53896i | ||||
\(502\) | 0.834544 | − | 2.56846i | 0.0372475 | − | 0.114636i | ||||
\(503\) | −8.69956 | − | 26.7745i | −0.387894 | − | 1.19382i | −0.934359 | − | 0.356333i | \(-0.884027\pi\) |
0.546465 | − | 0.837482i | \(-0.315973\pi\) | |||||||
\(504\) | −4.62157 | + | 3.35777i | −0.205861 | + | 0.149567i | ||||
\(505\) | 8.57037 | 0.381377 | ||||||||
\(506\) | −12.7051 | − | 22.1468i | −0.564812 | − | 0.984546i | ||||
\(507\) | −60.9526 | −2.70700 | ||||||||
\(508\) | 3.27438 | − | 2.37898i | 0.145277 | − | 0.105550i | ||||
\(509\) | 11.0610 | + | 34.0422i | 0.490270 | + | 1.50890i | 0.824201 | + | 0.566298i | \(0.191625\pi\) |
−0.333931 | + | 0.942598i | \(0.608375\pi\) | |||||||
\(510\) | −0.428491 | + | 1.31876i | −0.0189739 | + | 0.0583957i | ||||
\(511\) | −9.91426 | − | 7.20313i | −0.438581 | − | 0.318648i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 10.0088 | − | 30.8039i | 0.441899 | − | 1.36002i | ||||
\(514\) | 2.75904 | + | 8.49146i | 0.121696 | + | 0.374542i | ||||
\(515\) | 1.94275 | − | 1.41149i | 0.0856077 | − | 0.0621976i | ||||
\(516\) | 2.33397 | 0.102747 | ||||||||
\(517\) | −13.9115 | + | 2.91689i | −0.611825 | + | 0.128285i | ||||
\(518\) | −4.56071 | −0.200386 | ||||||||
\(519\) | −29.8941 | + | 21.7193i | −1.31220 | + | 0.953372i | ||||
\(520\) | −1.79256 | − | 5.51694i | −0.0786091 | − | 0.241934i | ||||
\(521\) | −6.02051 | + | 18.5292i | −0.263763 | + | 0.811780i | 0.728213 | + | 0.685351i | \(0.240351\pi\) |
−0.991976 | + | 0.126428i | \(0.959649\pi\) | |||||||
\(522\) | −12.1692 | − | 8.84143i | −0.532631 | − | 0.386979i | ||||
\(523\) | 20.8358 | + | 15.1381i | 0.911086 | + | 0.661942i | 0.941289 | − | 0.337601i | \(-0.109616\pi\) |
−0.0302035 | + | 0.999544i | \(0.509616\pi\) | |||||||
\(524\) | 2.79945 | − | 8.61582i | 0.122295 | − | 0.376384i | ||||
\(525\) | −0.912128 | − | 2.80724i | −0.0398085 | − | 0.122518i | ||||
\(526\) | −0.147926 | + | 0.107474i | −0.00644987 | + | 0.00468611i | ||||
\(527\) | 1.51334 | 0.0659222 | ||||||||
\(528\) | 8.93233 | + | 4.00649i | 0.388730 | + | 0.174360i | ||||
\(529\) | 36.2638 | 1.57669 | ||||||||
\(530\) | 11.2778 | − | 8.19378i | 0.489875 | − | 0.355915i | ||||
\(531\) | −23.0158 | − | 70.8354i | −0.998802 | − | 3.07400i | ||||
\(532\) | −1.25005 | + | 3.84724i | −0.0541963 | + | 0.166799i | ||||
\(533\) | −8.56344 | − | 6.22170i | −0.370924 | − | 0.269492i | ||||
\(534\) | −26.9283 | − | 19.5646i | −1.16530 | − | 0.846642i | ||||
\(535\) | −1.87315 | + | 5.76496i | −0.0809833 | + | 0.249241i | ||||
\(536\) | −2.07974 | − | 6.40079i | −0.0898311 | − | 0.276472i | ||||
\(537\) | −38.8946 | + | 28.2586i | −1.67843 | + | 1.21945i | ||||
\(538\) | −5.71539 | −0.246408 | ||||||||
\(539\) | −2.22605 | + | 2.45860i | −0.0958826 | + | 0.105899i | ||||
\(540\) | 8.00674 | 0.344555 | ||||||||
\(541\) | 10.6738 | − | 7.75495i | 0.458902 | − | 0.333412i | −0.334199 | − | 0.942503i | \(-0.608466\pi\) |
0.793100 | + | 0.609091i | \(0.208466\pi\) | |||||||
\(542\) | −0.958200 | − | 2.94904i | −0.0411582 | − | 0.126672i | ||||
\(543\) | 10.7979 | − | 33.2326i | 0.463383 | − | 1.42615i | ||||
\(544\) | 0.380053 | + | 0.276124i | 0.0162946 | + | 0.0118387i | ||||
\(545\) | 8.80015 | + | 6.39369i | 0.376957 | + | 0.273875i | ||||
\(546\) | −5.29112 | + | 16.2844i | −0.226439 | + | 0.696908i | ||||
\(547\) | 10.4389 | + | 32.1275i | 0.446334 | + | 1.37367i | 0.881014 | + | 0.473090i | \(0.156861\pi\) |
−0.434680 | + | 0.900585i | \(0.643139\pi\) | |||||||
\(548\) | −14.2590 | + | 10.3597i | −0.609113 | + | 0.442546i | ||||
\(549\) | −38.2543 | −1.63266 | ||||||||
\(550\) | −2.22605 | + | 2.45860i | −0.0949189 | + | 0.104835i | ||||
\(551\) | −10.6516 | −0.453774 | ||||||||
\(552\) | −18.3834 | + | 13.3563i | −0.782449 | + | 0.568483i | ||||
\(553\) | 1.22149 | + | 3.75935i | 0.0519429 | + | 0.159864i | ||||
\(554\) | 6.64169 | − | 20.4410i | 0.282178 | − | 0.868456i | ||||
\(555\) | 10.8909 | + | 7.91269i | 0.462292 | + | 0.335875i | ||||
\(556\) | −15.1017 | − | 10.9720i | −0.640455 | − | 0.465318i | ||||
\(557\) | −7.78665 | + | 23.9648i | −0.329931 | + | 1.01542i | 0.639235 | + | 0.769012i | \(0.279251\pi\) |
−0.969165 | + | 0.246411i | \(0.920749\pi\) | |||||||
\(558\) | −5.68677 | − | 17.5021i | −0.240740 | − | 0.740922i | ||||
\(559\) | 3.71083 | − | 2.69608i | 0.156951 | − | 0.114032i | ||||
\(560\) | −1.00000 | −0.0422577 | ||||||||
\(561\) | −4.19615 | − | 1.88213i | −0.177161 | − | 0.0794636i | ||||
\(562\) | −11.7569 | −0.495933 | ||||||||
\(563\) | −33.1275 | + | 24.0685i | −1.39616 | + | 1.01437i | −0.400998 | + | 0.916079i | \(0.631337\pi\) |
−0.995158 | + | 0.0982878i | \(0.968663\pi\) | |||||||
\(564\) | 3.90908 | + | 12.0309i | 0.164602 | + | 0.506593i | ||||
\(565\) | 2.01667 | − | 6.20668i | 0.0848420 | − | 0.261117i | ||||
\(566\) | −3.13846 | − | 2.28023i | −0.131919 | − | 0.0958451i | ||||
\(567\) | −5.25523 | − | 3.81815i | −0.220699 | − | 0.160347i | ||||
\(568\) | 3.54921 | − | 10.9233i | 0.148921 | − | 0.458333i | ||||
\(569\) | −11.1035 | − | 34.1730i | −0.465483 | − | 1.43261i | −0.858375 | − | 0.513023i | \(-0.828525\pi\) |
0.392892 | − | 0.919585i | \(-0.371475\pi\) | |||||||
\(570\) | 9.65994 | − | 7.01836i | 0.404610 | − | 0.293967i | ||||
\(571\) | 8.88506 | 0.371828 | 0.185914 | − | 0.982566i | \(-0.440475\pi\) | ||||
0.185914 | + | 0.982566i | \(0.440475\pi\) | |||||||
\(572\) | 18.8298 | − | 3.94814i | 0.787314 | − | 0.165080i | ||||
\(573\) | 80.6839 | 3.37062 | ||||||||
\(574\) | −1.47624 | + | 1.07255i | −0.0616169 | + | 0.0447673i | ||||
\(575\) | −2.37891 | − | 7.32152i | −0.0992072 | − | 0.305328i | ||||
\(576\) | 1.76528 | − | 5.43299i | 0.0735535 | − | 0.226374i | ||||
\(577\) | 20.3647 | + | 14.7958i | 0.847793 | + | 0.615958i | 0.924537 | − | 0.381093i | \(-0.124452\pi\) |
−0.0767436 | + | 0.997051i | \(0.524452\pi\) | |||||||
\(578\) | 13.5748 | + | 9.86263i | 0.564635 | + | 0.410231i | ||||
\(579\) | −15.3724 | + | 47.3113i | −0.638854 | + | 1.96619i | ||||
\(580\) | −0.813681 | − | 2.50425i | −0.0337863 | − | 0.103983i | ||||
\(581\) | 7.64360 | − | 5.55340i | 0.317110 | − | 0.230394i | ||||
\(582\) | 49.4441 | 2.04952 | ||||||||
\(583\) | 23.0065 | + | 40.1035i | 0.952831 | + | 1.66092i | ||||
\(584\) | 12.2547 | 0.507103 | ||||||||
\(585\) | 26.8091 | − | 19.4779i | 1.10842 | − | 0.805314i | ||||
\(586\) | −9.45846 | − | 29.1101i | −0.390725 | − | 1.20253i | ||||
\(587\) | 11.5283 | − | 35.4804i | 0.475823 | − | 1.46443i | −0.369022 | − | 0.929420i | \(-0.620307\pi\) |
0.844845 | − | 0.535011i | \(-0.179693\pi\) | |||||||
\(588\) | 2.38798 | + | 1.73497i | 0.0984787 | + | 0.0715490i | ||||
\(589\) | −10.5427 | − | 7.65973i | −0.434405 | − | 0.315614i | ||||
\(590\) | 4.02897 | − | 12.3999i | 0.165870 | − | 0.510496i | ||||
\(591\) | 4.24924 | + | 13.0778i | 0.174790 | + | 0.537949i | ||||
\(592\) | 3.68969 | − | 2.68072i | 0.151645 | − | 0.110177i | ||||
\(593\) | −12.7375 | −0.523065 | −0.261533 | − | 0.965195i | \(-0.584228\pi\) | ||||
−0.261533 | + | 0.965195i | \(0.584228\pi\) | |||||||
\(594\) | −2.84863 | + | 26.4021i | −0.116881 | + | 1.08329i | ||||
\(595\) | 0.469771 | 0.0192587 | ||||||||
\(596\) | −10.5461 | + | 7.66218i | −0.431985 | + | 0.313855i | ||||
\(597\) | 11.1353 | + | 34.2709i | 0.455737 | + | 1.40261i | ||||
\(598\) | −13.7997 | + | 42.4711i | −0.564311 | + | 1.73677i | ||||
\(599\) | 5.35480 | + | 3.89049i | 0.218791 | + | 0.158961i | 0.691782 | − | 0.722106i | \(-0.256826\pi\) |
−0.472991 | + | 0.881067i | \(0.656826\pi\) | |||||||
\(600\) | 2.38798 | + | 1.73497i | 0.0974889 | + | 0.0708299i | ||||
\(601\) | −10.6912 | + | 32.9042i | −0.436105 | + | 1.34219i | 0.455846 | + | 0.890059i | \(0.349337\pi\) |
−0.891950 | + | 0.452133i | \(0.850663\pi\) | |||||||
\(602\) | −0.244345 | − | 0.752017i | −0.00995876 | − | 0.0306499i | ||||
\(603\) | 31.1040 | − | 22.5984i | 1.26665 | − | 0.920278i | ||||
\(604\) | −9.17018 | −0.373129 | ||||||||
\(605\) | −7.31523 | − | 8.21507i | −0.297406 | − | 0.333990i | ||||
\(606\) | 25.2972 | 1.02763 | ||||||||
\(607\) | 20.2601 | − | 14.7199i | 0.822334 | − | 0.597461i | −0.0950461 | − | 0.995473i | \(-0.530300\pi\) |
0.917380 | + | 0.398012i | \(0.130300\pi\) | |||||||
\(608\) | −1.25005 | − | 3.84724i | −0.0506960 | − | 0.156026i | ||||
\(609\) | −2.40175 | + | 7.39182i | −0.0973237 | + | 0.299532i | ||||
\(610\) | −5.41759 | − | 3.93611i | −0.219352 | − | 0.159368i | ||||
\(611\) | 20.1126 | + | 14.6127i | 0.813670 | + | 0.591166i | ||||
\(612\) | −0.829279 | + | 2.55226i | −0.0335216 | + | 0.103169i | ||||
\(613\) | 5.49429 | + | 16.9097i | 0.221912 | + | 0.682976i | 0.998590 | + | 0.0530780i | \(0.0169032\pi\) |
−0.776678 | + | 0.629898i | \(0.783097\pi\) | |||||||
\(614\) | 2.07716 | − | 1.50915i | 0.0838274 | − | 0.0609041i | ||||
\(615\) | 5.38607 | 0.217187 | ||||||||
\(616\) | 0.355779 | − | 3.29749i | 0.0143347 | − | 0.132860i | ||||
\(617\) | 30.5946 | 1.23169 | 0.615847 | − | 0.787866i | \(-0.288814\pi\) | ||||
0.615847 | + | 0.787866i | \(0.288814\pi\) | |||||||
\(618\) | 5.73442 | − | 4.16630i | 0.230672 | − | 0.167593i | ||||
\(619\) | −4.42759 | − | 13.6267i | −0.177960 | − | 0.547704i | 0.821796 | − | 0.569781i | \(-0.192972\pi\) |
−0.999756 | + | 0.0220771i | \(0.992972\pi\) | |||||||
\(620\) | 0.995482 | − | 3.06378i | 0.0399795 | − | 0.123044i | ||||
\(621\) | −49.8664 | − | 36.2301i | −2.00107 | − | 1.45386i | ||||
\(622\) | 26.3160 | + | 19.1197i | 1.05518 | + | 0.766631i | ||||
\(623\) | −3.48466 | + | 10.7247i | −0.139610 | + | 0.429675i | ||||
\(624\) | −5.29112 | − | 16.2844i | −0.211814 | − | 0.651898i | ||||
\(625\) | −0.809017 | + | 0.587785i | −0.0323607 | + | 0.0235114i | ||||
\(626\) | −7.78739 | −0.311247 | ||||||||
\(627\) | 19.7061 | + | 34.3505i | 0.786987 | + | 1.37183i | ||||
\(628\) | 9.06306 | 0.361655 | ||||||||
\(629\) | −1.73331 | + | 1.25932i | −0.0691115 | + | 0.0502125i | ||||
\(630\) | −1.76528 | − | 5.43299i | −0.0703306 | − | 0.216455i | ||||
\(631\) | 4.02709 | − | 12.3941i | 0.160316 | − | 0.493402i | −0.838345 | − | 0.545141i | \(-0.816476\pi\) |
0.998661 | + | 0.0517387i | \(0.0164763\pi\) | |||||||
\(632\) | −3.19789 | − | 2.32340i | −0.127205 | − | 0.0924201i | ||||
\(633\) | −18.7908 | − | 13.6523i | −0.746867 | − | 0.542631i | ||||
\(634\) | −5.39797 | + | 16.6132i | −0.214381 | + | 0.659796i | ||||
\(635\) | 1.25070 | + | 3.84927i | 0.0496326 | + | 0.152753i | ||||
\(636\) | 33.2887 | − | 24.1856i | 1.31998 | − | 0.959023i | ||||
\(637\) | 5.80086 | 0.229838 | ||||||||
\(638\) | 8.54723 | − | 1.79214i | 0.338388 | − | 0.0709516i | ||||
\(639\) | 65.6117 | 2.59556 | ||||||||
\(640\) | 0.809017 | − | 0.587785i | 0.0319792 | − | 0.0232343i | ||||
\(641\) | −8.26420 | − | 25.4346i | −0.326416 | − | 1.00461i | −0.970797 | − | 0.239901i | \(-0.922885\pi\) |
0.644381 | − | 0.764704i | \(-0.277115\pi\) | |||||||
\(642\) | −5.52899 | + | 17.0165i | −0.218212 | + | 0.671587i | ||||
\(643\) | −5.97210 | − | 4.33899i | −0.235517 | − | 0.171113i | 0.463767 | − | 0.885957i | \(-0.346498\pi\) |
−0.699284 | + | 0.714844i | \(0.746498\pi\) | |||||||
\(644\) | 6.22805 | + | 4.52495i | 0.245420 | + | 0.178308i | ||||
\(645\) | −0.721235 | + | 2.21973i | −0.0283986 | + | 0.0874019i | ||||
\(646\) | 0.587235 | + | 1.80732i | 0.0231044 | + | 0.0711082i | ||||
\(647\) | −7.36488 | + | 5.35090i | −0.289543 | + | 0.210366i | −0.723069 | − | 0.690776i | \(-0.757269\pi\) |
0.433526 | + | 0.901141i | \(0.357269\pi\) | |||||||
\(648\) | 6.49582 | 0.255180 | ||||||||
\(649\) | 39.4551 | + | 17.6971i | 1.54875 | + | 0.694672i | ||||
\(650\) | 5.80086 | 0.227528 | ||||||||
\(651\) | −7.69276 | + | 5.58912i | −0.301503 | + | 0.219055i | ||||
\(652\) | −0.524462 | − | 1.61413i | −0.0205395 | − | 0.0632141i | ||||
\(653\) | 11.4223 | − | 35.1543i | 0.446990 | − | 1.37569i | −0.433297 | − | 0.901251i | \(-0.642650\pi\) |
0.880287 | − | 0.474442i | \(-0.157350\pi\) | |||||||
\(654\) | 25.9755 | + | 18.8723i | 1.01572 | + | 0.737965i | ||||
\(655\) | 7.32905 | + | 5.32487i | 0.286370 | + | 0.208060i | ||||
\(656\) | 0.563872 | − | 1.73542i | 0.0220155 | − | 0.0677568i | ||||
\(657\) | 21.6330 | + | 66.5796i | 0.843985 | + | 2.59752i | ||||
\(658\) | 3.46718 | − | 2.51906i | 0.135165 | − | 0.0982030i | ||||
\(659\) | −47.4959 | −1.85018 | −0.925089 | − | 0.379750i | \(-0.876010\pi\) | ||||
−0.925089 | + | 0.379750i | \(0.876010\pi\) | |||||||
\(660\) | −6.57064 | + | 7.25707i | −0.255762 | + | 0.282481i | ||||
\(661\) | 23.6252 | 0.918915 | 0.459457 | − | 0.888200i | \(-0.348044\pi\) | ||||
0.459457 | + | 0.888200i | \(0.348044\pi\) | |||||||
\(662\) | 1.63213 | − | 1.18581i | 0.0634343 | − | 0.0460877i | ||||
\(663\) | 2.48562 | + | 7.64994i | 0.0965333 | + | 0.297099i | ||||
\(664\) | −2.91960 | + | 8.98559i | −0.113302 | + | 0.348709i | ||||
\(665\) | −3.27266 | − | 2.37773i | −0.126908 | − | 0.0922043i | ||||
\(666\) | 21.0776 | + | 15.3138i | 0.816742 | + | 0.593398i | ||||
\(667\) | −6.26396 | + | 19.2785i | −0.242541 | + | 0.746466i | ||||
\(668\) | 6.13530 | + | 18.8825i | 0.237382 | + | 0.730586i | ||||
\(669\) | −56.9900 | + | 41.4057i | −2.20336 | + | 1.60084i | ||||
\(670\) | 6.73018 | 0.260010 | ||||||||
\(671\) | 14.9067 | − | 16.4641i | 0.575468 | − | 0.635588i | ||||
\(672\) | −2.95171 | −0.113865 | ||||||||
\(673\) | 11.3560 | − | 8.25065i | 0.437743 | − | 0.318039i | −0.346994 | − | 0.937867i | \(-0.612798\pi\) |
0.784738 | + | 0.619828i | \(0.212798\pi\) | |||||||
\(674\) | 7.21021 | + | 22.1908i | 0.277727 | + | 0.854756i | ||||
\(675\) | −2.47422 | + | 7.61486i | −0.0952327 | + | 0.293096i | ||||
\(676\) | −16.7062 | − | 12.1377i | −0.642544 | − | 0.466836i | ||||
\(677\) | 34.2682 | + | 24.8973i | 1.31703 | + | 0.956882i | 0.999964 | + | 0.00847962i | \(0.00269918\pi\) |
0.317070 | + | 0.948402i | \(0.397301\pi\) | |||||||
\(678\) | 5.95263 | − | 18.3203i | 0.228609 | − | 0.703587i | ||||
\(679\) | −5.17635 | − | 15.9312i | −0.198650 | − | 0.611382i | ||||
\(680\) | −0.380053 | + | 0.276124i | −0.0145744 | + | 0.0105889i | ||||
\(681\) | −67.0176 | −2.56812 | ||||||||
\(682\) | 9.74860 | + | 4.37262i | 0.373293 | + | 0.167436i | ||||
\(683\) | 25.5960 | 0.979402 | 0.489701 | − | 0.871890i | \(-0.337106\pi\) | ||||
0.489701 | + | 0.871890i | \(0.337106\pi\) | |||||||
\(684\) | 18.6953 | − | 13.5830i | 0.714834 | − | 0.519357i | ||||
\(685\) | −5.44644 | − | 16.7624i | −0.208098 | − | 0.640459i | ||||
\(686\) | 0.309017 | − | 0.951057i | 0.0117983 | − | 0.0363115i | ||||
\(687\) | −37.8981 | − | 27.5346i | −1.44590 | − | 1.05051i | ||||
\(688\) | 0.639704 | + | 0.464772i | 0.0243885 | + | 0.0177193i | ||||
\(689\) | 24.9885 | − | 76.9067i | 0.951985 | − | 2.92991i | ||||
\(690\) | −7.02183 | − | 21.6110i | −0.267317 | − | 0.822716i | ||||
\(691\) | −36.9816 | + | 26.8687i | −1.40685 | + | 1.02213i | −0.413074 | + | 0.910697i | \(0.635545\pi\) |
−0.993772 | + | 0.111436i | \(0.964455\pi\) | |||||||
\(692\) | −12.5185 | −0.475884 | ||||||||
\(693\) | 18.5432 | − | 3.88806i | 0.704400 | − | 0.147695i | ||||
\(694\) | 8.21232 | 0.311735 | ||||||||
\(695\) | 15.1017 | − | 10.9720i | 0.572840 | − | 0.416193i | ||||
\(696\) | −2.40175 | − | 7.39182i | −0.0910380 | − | 0.280186i | ||||
\(697\) | −0.264891 | + | 0.815250i | −0.0100335 | + | 0.0308798i | ||||
\(698\) | 14.2411 | + | 10.3468i | 0.539034 | + | 0.391631i | ||||
\(699\) | −69.8312 | − | 50.7354i | −2.64126 | − | 1.91899i | ||||
\(700\) | 0.309017 | − | 0.951057i | 0.0116797 | − | 0.0359466i | ||||
\(701\) | −11.7219 | − | 36.0762i | −0.442729 | − | 1.36258i | −0.884955 | − | 0.465676i | \(-0.845811\pi\) |
0.442226 | − | 0.896904i | \(-0.354189\pi\) | |||||||
\(702\) | 37.5756 | − | 27.3002i | 1.41820 | − | 1.03038i | ||||
\(703\) | 18.4491 | 0.695821 | ||||||||
\(704\) | 1.65038 | + | 2.87684i | 0.0622012 | + | 0.108425i | ||||
\(705\) | −12.6501 | −0.476429 | ||||||||
\(706\) | 27.9541 | − | 20.3099i | 1.05207 | − | 0.764372i | ||||
\(707\) | −2.64839 | − | 8.15091i | −0.0996030 | − | 0.306546i | ||||
\(708\) | 11.8924 | − | 36.6009i | 0.446942 | − | 1.37555i | ||||
\(709\) | −35.4970 | − | 25.7901i | −1.33312 | − | 0.968566i | −0.999667 | − | 0.0257981i | \(-0.991787\pi\) |
−0.333450 | − | 0.942768i | \(-0.608213\pi\) | |||||||
\(710\) | 9.29195 | + | 6.75100i | 0.348721 | + | 0.253360i | ||||
\(711\) | 6.97784 | − | 21.4756i | 0.261689 | − | 0.805397i | ||||
\(712\) | −3.48466 | − | 10.7247i | −0.130593 | − | 0.401925i | ||||
\(713\) | −20.0634 | + | 14.5769i | −0.751379 | + | 0.545909i | ||||
\(714\) | 1.38663 | 0.0518932 | ||||||||
\(715\) | −2.06382 | + | 19.1283i | −0.0771825 | + | 0.715356i | ||||
\(716\) | −16.2877 | −0.608698 | ||||||||
\(717\) | −20.8415 | + | 15.1423i | −0.778341 | + | 0.565498i | ||||
\(718\) | −2.58431 | − | 7.95370i | −0.0964458 | − | 0.296830i | ||||
\(719\) | −11.2402 | + | 34.5937i | −0.419187 | + | 1.29013i | 0.489264 | + | 0.872136i | \(0.337265\pi\) |
−0.908452 | + | 0.417990i | \(0.862735\pi\) | |||||||
\(720\) | 4.62157 | + | 3.35777i | 0.172236 | + | 0.125137i | ||||
\(721\) | −1.94275 | − | 1.41149i | −0.0723517 | − | 0.0525666i | ||||
\(722\) | −0.814601 | + | 2.50708i | −0.0303163 | + | 0.0933040i | ||||
\(723\) | 8.74602 | + | 26.9175i | 0.325268 | + | 1.00107i | ||||
\(724\) | 9.57727 | − | 6.95829i | 0.355936 | − | 0.258603i | ||||
\(725\) | 2.63313 | 0.0977919 | ||||||||
\(726\) | −21.5924 | − | 24.2485i | −0.801370 | − | 0.899946i | ||||
\(727\) | 0.665574 | 0.0246848 | 0.0123424 | − | 0.999924i | \(-0.496071\pi\) | ||||
0.0123424 | + | 0.999924i | \(0.496071\pi\) | |||||||
\(728\) | −4.69299 | + | 3.40966i | −0.173934 | + | 0.126370i | ||||
\(729\) | −10.4425 | − | 32.1388i | −0.386761 | − | 1.19033i | ||||
\(730\) | −3.78691 | + | 11.6549i | −0.140160 | + | 0.431368i | ||||
\(731\) | −0.300514 | − | 0.218336i | −0.0111149 | − | 0.00807546i | ||||
\(732\) | −15.9911 | − | 11.6182i | −0.591050 | − | 0.429423i | ||||
\(733\) | 5.61323 | − | 17.2757i | 0.207329 | − | 0.638094i | −0.792280 | − | 0.610157i | \(-0.791106\pi\) |
0.999610 | − | 0.0279369i | \(-0.00889374\pi\) | |||||||
\(734\) | 5.33662 | + | 16.4244i | 0.196978 | + | 0.606237i | ||||
\(735\) | −2.38798 | + | 1.73497i | −0.0880820 | + | 0.0639953i | ||||
\(736\) | −7.69830 | −0.283763 | ||||||||
\(737\) | −2.39446 | + | 22.1927i | −0.0882009 | + | 0.817478i | ||||
\(738\) | 10.4239 | 0.383709 | ||||||||
\(739\) | −18.7936 | + | 13.6543i | −0.691332 | + | 0.502282i | −0.877098 | − | 0.480312i | \(-0.840523\pi\) |
0.185766 | + | 0.982594i | \(0.440523\pi\) | |||||||
\(740\) | 1.40934 | + | 4.33749i | 0.0518082 | + | 0.159449i | ||||
\(741\) | 21.4038 | − | 65.8742i | 0.786289 | − | 2.41995i | ||||
\(742\) | −11.2778 | − | 8.19378i | −0.414020 | − | 0.300803i | ||||
\(743\) | 11.4731 | + | 8.33569i | 0.420907 | + | 0.305807i | 0.778003 | − | 0.628261i | \(-0.216233\pi\) |
−0.357096 | + | 0.934068i | \(0.616233\pi\) | |||||||
\(744\) | 2.93837 | − | 9.04338i | 0.107726 | − | 0.331547i | ||||
\(745\) | −4.02825 | − | 12.3977i | −0.147584 | − | 0.454215i | ||||
\(746\) | 18.5461 | − | 13.4745i | 0.679021 | − | 0.493338i | ||||
\(747\) | −53.9725 | −1.97475 | ||||||||
\(748\) | −0.775302 | − | 1.35146i | −0.0283478 | − | 0.0494142i | ||||
\(749\) | 6.06164 | 0.221487 | ||||||||
\(750\) | −2.38798 | + | 1.73497i | −0.0871968 | + | 0.0633522i | ||||
\(751\) | −8.78893 | − | 27.0496i | −0.320713 | − | 0.987052i | −0.973339 | − | 0.229372i | \(-0.926333\pi\) |
0.652626 | − | 0.757680i | \(-0.273667\pi\) | |||||||
\(752\) | −1.32435 | + | 4.07592i | −0.0482939 | + | 0.148633i | ||||
\(753\) | 6.44908 | + | 4.68553i | 0.235018 | + | 0.170750i | ||||
\(754\) | −12.3572 | − | 8.97806i | −0.450024 | − | 0.326962i | ||||
\(755\) | 2.83374 | − | 8.72136i | 0.103130 | − | 0.317403i | ||||
\(756\) | −2.47422 | − | 7.61486i | −0.0899865 | − | 0.276950i | ||||
\(757\) | −31.6800 | + | 23.0169i | −1.15143 | + | 0.836563i | −0.988670 | − | 0.150103i | \(-0.952040\pi\) |
−0.162760 | + | 0.986666i | \(0.552040\pi\) | |||||||
\(758\) | 3.81880 | 0.138705 | ||||||||
\(759\) | 73.7601 | − | 15.4657i | 2.67732 | − | 0.561368i | ||||
\(760\) | 4.04523 | 0.146736 | ||||||||
\(761\) | 10.6635 | − | 7.74749i | 0.386552 | − | 0.280846i | −0.377489 | − | 0.926014i | \(-0.623213\pi\) |
0.764041 | + | 0.645168i | \(0.223213\pi\) | |||||||
\(762\) | 3.69171 | + | 11.3619i | 0.133736 | + | 0.411598i | ||||
\(763\) | 3.36136 | − | 10.3452i | 0.121689 | − | 0.374521i | ||||
\(764\) | 22.1142 | + | 16.0669i | 0.800063 | + | 0.581280i | ||||
\(765\) | −2.17108 | − | 1.57738i | −0.0784956 | − | 0.0570304i | ||||
\(766\) | −3.62707 | + | 11.1630i | −0.131051 | + | 0.403335i | ||||
\(767\) | −23.3715 | − | 71.9301i | −0.843896 | − | 2.59724i | ||||
\(768\) | 2.38798 | − | 1.73497i | 0.0861689 | − | 0.0626053i | ||||
\(769\) | 8.58896 | 0.309726 | 0.154863 | − | 0.987936i | \(-0.450506\pi\) | ||||
0.154863 | + | 0.987936i | \(0.450506\pi\) | |||||||
\(770\) | 3.02615 | + | 1.35735i | 0.109055 | + | 0.0489153i | ||||
\(771\) | −26.3542 | −0.949122 | ||||||||
\(772\) | −13.6346 | + | 9.90612i | −0.490720 | + | 0.356529i | ||||
\(773\) | 1.02453 | + | 3.15319i | 0.0368499 | + | 0.113412i | 0.967789 | − | 0.251761i | \(-0.0810097\pi\) |
−0.930940 | + | 0.365173i | \(0.881010\pi\) | |||||||
\(774\) | −1.39584 | + | 4.29596i | −0.0501725 | + | 0.154415i | ||||
\(775\) | 2.60621 | + | 1.89352i | 0.0936177 | + | 0.0680172i | ||||
\(776\) | 13.5518 | + | 9.84599i | 0.486483 | + | 0.353451i | ||||
\(777\) | 4.15995 | − | 12.8030i | 0.149237 | − | 0.459305i | ||||
\(778\) | −2.46329 | − | 7.58123i | −0.0883133 | − | 0.271800i | ||||
\(779\) | 5.97172 | − | 4.33871i | 0.213959 | − | 0.155450i | ||||
\(780\) | 17.1224 | 0.613082 | ||||||||
\(781\) | −25.5672 | + | 28.2382i | −0.914866 | + | 1.01044i | ||||
\(782\) | 3.61644 | 0.129323 | ||||||||
\(783\) | 17.0563 | − | 12.3921i | 0.609543 | − | 0.442859i | ||||
\(784\) | 0.309017 | + | 0.951057i | 0.0110363 | + | 0.0339663i | ||||
\(785\) | −2.80064 | + | 8.61948i | −0.0999591 | + | 0.307642i | ||||
\(786\) | 21.6332 | + | 15.7175i | 0.771632 | + | 0.560623i | ||||
\(787\) | −16.2486 | − | 11.8053i | −0.579202 | − | 0.420815i | 0.259235 | − | 0.965814i | \(-0.416530\pi\) |
−0.838436 | + | 0.545000i | \(0.816530\pi\) | |||||||
\(788\) | −1.43959 | + | 4.43059i | −0.0512831 | + | 0.157833i | ||||
\(789\) | −0.166779 | − | 0.513294i | −0.00593750 | − | 0.0182737i | ||||
\(790\) | 3.19789 | − | 2.32340i | 0.113776 | − | 0.0826630i | ||||
\(791\) | −6.52609 | −0.232041 | ||||||||
\(792\) | −12.7165 | + | 14.0450i | −0.451860 | + | 0.499066i | ||||
\(793\) | −38.8455 | −1.37944 | ||||||||
\(794\) | −0.448338 | + | 0.325736i | −0.0159109 | + | 0.0115600i | ||||
\(795\) | 12.7151 | + | 39.1332i | 0.450960 | + | 1.38791i | ||||
\(796\) | −3.77249 | + | 11.6105i | −0.133712 | + | 0.411524i | ||||
\(797\) | 17.2113 | + | 12.5047i | 0.609655 | + | 0.442940i | 0.849293 | − | 0.527922i | \(-0.177029\pi\) |
−0.239638 | + | 0.970862i | \(0.577029\pi\) | |||||||
\(798\) | −9.65994 | − | 7.01836i | −0.341958 | − | 0.248447i | ||||
\(799\) | 0.622139 | − | 1.91475i | 0.0220097 | − | 0.0677389i | ||||
\(800\) | 0.309017 | + | 0.951057i | 0.0109254 | + | 0.0336249i | ||||
\(801\) | 52.1156 | − | 37.8642i | 1.84142 | − | 1.33787i | ||||
\(802\) | −11.8420 | −0.418155 | ||||||||
\(803\) | −37.0846 | − | 16.6339i | −1.30869 | − | 0.586996i | ||||
\(804\) | 19.8655 | 0.700603 | ||||||||
\(805\) | −6.22805 | + | 4.52495i | −0.219510 | + | 0.159483i | ||||
\(806\) | −5.77465 | − | 17.7725i | −0.203403 | − | 0.626011i | ||||
\(807\) | 5.21317 | − | 16.0445i | 0.183512 | − | 0.564793i | ||||
\(808\) | 6.93358 | + | 5.03754i | 0.243922 | + | 0.177220i | ||||
\(809\) | −4.05771 | − | 2.94810i | −0.142662 | − | 0.103650i | 0.514165 | − | 0.857691i | \(-0.328102\pi\) |
−0.656827 | + | 0.754041i | \(0.728102\pi\) | |||||||
\(810\) | −2.00732 | + | 6.17789i | −0.0705300 | + | 0.217069i | ||||
\(811\) | 8.67176 | + | 26.6889i | 0.304507 | + | 0.937175i | 0.979861 | + | 0.199682i | \(0.0639908\pi\) |
−0.675354 | + | 0.737494i | \(0.736009\pi\) | |||||||
\(812\) | −2.13024 | + | 1.54771i | −0.0747569 | + | 0.0543141i | ||||
\(813\) | 9.15266 | 0.320998 | ||||||||
\(814\) | −14.8042 | + | 3.10408i | −0.518888 | + | 0.108798i | ||||
\(815\) | 1.69719 | 0.0594501 | ||||||||
\(816\) | −1.12180 | + | 0.815038i | −0.0392710 | + | 0.0285321i | ||||
\(817\) | 0.988432 | + | 3.04208i | 0.0345809 | + | 0.106429i | ||||
\(818\) | −2.58890 | + | 7.96782i | −0.0905188 | + | 0.278588i | ||||
\(819\) | −26.8091 | − | 19.4779i | −0.936785 | − | 0.680614i | ||||
\(820\) | 1.47624 | + | 1.07255i | 0.0515524 | + | 0.0374550i | ||||
\(821\) | −14.0463 | + | 43.2301i | −0.490220 | + | 1.50874i | 0.334056 | + | 0.942553i | \(0.391582\pi\) |
−0.824276 | + | 0.566188i | \(0.808418\pi\) | |||||||
\(822\) | −16.0763 | − | 49.4778i | −0.560725 | − | 1.72573i | ||||
\(823\) | 24.6684 | − | 17.9226i | 0.859885 | − | 0.624743i | −0.0679686 | − | 0.997687i | \(-0.521652\pi\) |
0.927854 | + | 0.372944i | \(0.121652\pi\) | |||||||
\(824\) | 2.40137 | 0.0836556 | ||||||||
\(825\) | −4.87145 | − | 8.49160i | −0.169602 | − | 0.295640i | ||||
\(826\) | −13.0380 | −0.453651 | ||||||||
\(827\) | 28.2628 | − | 20.5341i | 0.982793 | − | 0.714041i | 0.0244616 | − | 0.999701i | \(-0.492213\pi\) |
0.958331 | + | 0.285660i | \(0.0922129\pi\) | |||||||
\(828\) | −13.5897 | − | 41.8247i | −0.472274 | − | 1.45351i | ||||
\(829\) | −11.3832 | + | 35.0338i | −0.395354 | + | 1.21678i | 0.533331 | + | 0.845907i | \(0.320940\pi\) |
−0.928685 | + | 0.370869i | \(0.879060\pi\) | |||||||
\(830\) | −7.64360 | − | 5.55340i | −0.265313 | − | 0.192761i | ||||
\(831\) | 51.3248 | + | 37.2896i | 1.78044 | + | 1.29356i | ||||
\(832\) | 1.79256 | − | 5.51694i | 0.0621460 | − | 0.191266i | ||||
\(833\) | −0.145167 | − | 0.446779i | −0.00502974 | − | 0.0154800i | ||||
\(834\) | 44.5758 | − | 32.3862i | 1.54353 | − | 1.12144i | ||||
\(835\) | −19.8542 | −0.687084 | ||||||||
\(836\) | −1.43921 | + | 13.3391i | −0.0497760 | + | 0.461342i | ||||
\(837\) | 25.7933 | 0.891547 | ||||||||
\(838\) | 20.3843 | − | 14.8100i | 0.704163 | − | 0.511604i | ||||
\(839\) | −3.71637 | − | 11.4378i | −0.128303 | − | 0.394877i | 0.866185 | − | 0.499723i | \(-0.166565\pi\) |
−0.994488 | + | 0.104846i | \(0.966565\pi\) | |||||||
\(840\) | 0.912128 | − | 2.80724i | 0.0314714 | − | 0.0968590i | ||||
\(841\) | 17.8523 | + | 12.9704i | 0.615596 | + | 0.447257i | ||||
\(842\) | −21.8705 | − | 15.8899i | −0.753707 | − | 0.547600i | ||||
\(843\) | 10.7238 | − | 33.0043i | 0.369346 | − | 1.13673i | ||||
\(844\) | −2.43162 | − | 7.48377i | −0.0837000 | − | 0.257602i | ||||
\(845\) | 16.7062 | − | 12.1377i | 0.574709 | − | 0.417551i | ||||
\(846\) | −24.4823 | −0.841717 | ||||||||
\(847\) | −5.55247 | + | 9.49579i | −0.190785 | + | 0.326279i | ||||
\(848\) | 13.9401 | 0.478704 | ||||||||
\(849\) | 9.26382 | − | 6.73056i | 0.317934 | − | 0.230992i | ||||
\(850\) | −0.145167 | − | 0.446779i | −0.00497919 | − | 0.0153244i | ||||
\(851\) | 10.8495 | − | 33.3913i | 0.371916 | − | 1.14464i | ||||
\(852\) | 27.4271 | + | 19.9270i | 0.939638 | + | 0.682687i | ||||
\(853\) | 11.1080 | + | 8.07046i | 0.380332 | + | 0.276327i | 0.761482 | − | 0.648186i | \(-0.224472\pi\) |
−0.381150 | + | 0.924513i | \(0.624472\pi\) | |||||||
\(854\) | −2.06934 | + | 6.36876i | −0.0708112 | + | 0.217935i | ||||
\(855\) | 7.14098 | + | 21.9777i | 0.244216 | + | 0.751621i | ||||
\(856\) | −4.90397 | + | 3.56294i | −0.167614 | + | 0.121779i | ||||
\(857\) | 25.3293 | 0.865233 | 0.432616 | − | 0.901578i | \(-0.357591\pi\) | ||||
0.432616 | + | 0.901578i | \(0.357591\pi\) | |||||||
\(858\) | −6.09180 | + | 56.4610i | −0.207971 | + | 1.92755i | ||||
\(859\) | −43.9737 | −1.50036 | −0.750181 | − | 0.661232i | \(-0.770034\pi\) | ||||
−0.750181 | + | 0.661232i | \(0.770034\pi\) | |||||||
\(860\) | −0.639704 | + | 0.464772i | −0.0218137 | + | 0.0158486i | ||||
\(861\) | −1.66439 | − | 5.12245i | −0.0567221 | − | 0.174573i | ||||
\(862\) | 5.07654 | − | 15.6240i | 0.172908 | − | 0.532155i | ||||
\(863\) | 12.2806 | + | 8.92240i | 0.418038 | + | 0.303722i | 0.776848 | − | 0.629688i | \(-0.216817\pi\) |
−0.358810 | + | 0.933411i | \(0.616817\pi\) | |||||||
\(864\) | 6.47759 | + | 4.70624i | 0.220372 | + | 0.160110i | ||||
\(865\) | 3.86844 | − | 11.9058i | 0.131531 | − | 0.404811i | ||||
\(866\) | −3.55065 | − | 10.9278i | −0.120656 | − | 0.371341i | ||||
\(867\) | −40.0687 | + | 29.1116i | −1.36080 | + | 0.988682i | ||||
\(868\) | −3.22145 | −0.109343 | ||||||||
\(869\) | 6.52366 | + | 11.3716i | 0.221300 | + | 0.385756i | ||||
\(870\) | 7.77222 | 0.263503 | ||||||||
\(871\) | 31.5847 | − | 22.9476i | 1.07021 | − | 0.777551i | ||||
\(872\) | 3.36136 | + | 10.3452i | 0.113830 | + | 0.350333i | ||||
\(873\) | −29.5703 | + | 91.0080i | −1.00080 | + | 3.08015i | ||||
\(874\) | −25.1939 | − | 18.3045i | −0.852197 | − | 0.619157i | ||||
\(875\) | 0.809017 | + | 0.587785i | 0.0273498 | + | 0.0198708i | ||||
\(876\) | −11.1779 | + | 34.4019i | −0.377665 | + | 1.16233i | ||||
\(877\) | −13.1293 | − | 40.4078i | −0.443344 | − | 1.36447i | −0.884289 | − | 0.466940i | \(-0.845356\pi\) |
0.440945 | − | 0.897534i | \(-0.354644\pi\) | |||||||
\(878\) | −29.6658 | + | 21.5534i | −1.00117 | + | 0.727394i | ||||
\(879\) | 90.3465 | 3.04731 | ||||||||
\(880\) | −3.24604 | + | 0.680614i | −0.109424 | + | 0.0229435i | ||||
\(881\) | 51.3494 | 1.73000 | 0.865002 | − | 0.501768i | \(-0.167317\pi\) | ||||
0.865002 | + | 0.501768i | \(0.167317\pi\) | |||||||
\(882\) | −4.62157 | + | 3.35777i | −0.155616 | + | 0.113062i | ||||
\(883\) | −1.51253 | − | 4.65510i | −0.0509008 | − | 0.156656i | 0.922375 | − | 0.386295i | \(-0.126245\pi\) |
−0.973276 | + | 0.229639i | \(0.926245\pi\) | |||||||
\(884\) | −0.842094 | + | 2.59170i | −0.0283227 | + | 0.0871683i | ||||
\(885\) | 31.1346 | + | 22.6206i | 1.04658 | + | 0.760383i | ||||
\(886\) | 9.29420 | + | 6.75263i | 0.312245 | + | 0.226859i | ||||
\(887\) | 16.2062 | − | 49.8775i | 0.544151 | − | 1.67472i | −0.178850 | − | 0.983876i | \(-0.557238\pi\) |
0.723001 | − | 0.690847i | \(-0.242762\pi\) | |||||||
\(888\) | 4.15995 | + | 12.8030i | 0.139599 | + | 0.429641i | ||||
\(889\) | 3.27438 | − | 2.37898i | 0.109819 | − | 0.0797883i | ||||
\(890\) | 11.2766 | 0.377993 | ||||||||
\(891\) | −19.6574 | − | 8.81707i | −0.658546 | − | 0.295383i | ||||
\(892\) | −23.8654 | −0.799071 | ||||||||
\(893\) | −14.0256 | + | 10.1902i | −0.469347 | + | 0.341001i | ||||
\(894\) | −11.8902 | − | 36.5943i | −0.397668 | − | 1.22390i | ||||
\(895\) | 5.03316 | − | 15.4905i | 0.168240 | − | 0.517790i | ||||
\(896\) | −0.809017 | − | 0.587785i | −0.0270274 | − | 0.0196365i | ||||
\(897\) | −106.639 | − | 77.4781i | −3.56059 | − | 2.58692i | ||||
\(898\) | −0.365016 | + | 1.12340i | −0.0121808 | + | 0.0374885i | ||||
\(899\) | −2.62123 | − | 8.06732i | −0.0874230 | − | 0.269060i | ||||
\(900\) | −4.62157 | + | 3.35777i | −0.154052 | + | 0.111926i | ||||
\(901\) | −6.54865 | −0.218167 | ||||||||
\(902\) | −4.06193 | + | 4.48628i | −0.135247 | + | 0.149377i | ||||
\(903\) | 2.33397 | 0.0776695 | ||||||||
\(904\) | 5.27972 | − | 3.83594i | 0.175601 | − | 0.127581i | ||||
\(905\) | 3.65819 | + | 11.2588i | 0.121602 | + | 0.374254i | ||||
\(906\) | 8.36438 | − | 25.7429i | 0.277888 | − | 0.855251i | ||||
\(907\) | 36.8202 | + | 26.7514i | 1.22259 | + | 0.888266i | 0.996313 | − | 0.0857959i | \(-0.0273433\pi\) |
0.226281 | + | 0.974062i | \(0.427343\pi\) | |||||||
\(908\) | −18.3685 | − | 13.3455i | −0.609580 | − | 0.442886i | ||||
\(909\) | −15.1291 | + | 46.5627i | −0.501802 | + | 1.54439i | ||||
\(910\) | −1.79256 | − | 5.51694i | −0.0594229 | − | 0.182885i | ||||
\(911\) | −23.5625 | + | 17.1192i | −0.780662 | + | 0.567184i | −0.905178 | − | 0.425033i | \(-0.860262\pi\) |
0.124516 | + | 0.992218i | \(0.460262\pi\) | |||||||
\(912\) | 11.9403 | 0.395384 | ||||||||
\(913\) | 21.0317 | − | 23.2289i | 0.696048 | − | 0.768764i | ||||
\(914\) | −11.1913 | −0.370176 | ||||||||
\(915\) | 15.9911 | − | 11.6182i | 0.528651 | − | 0.384087i | ||||
\(916\) | −4.90420 | − | 15.0936i | −0.162039 | − | 0.498706i | ||||
\(917\) | 2.79945 | − | 8.61582i | 0.0924460 | − | 0.284519i | ||||
\(918\) | −3.04298 | − | 2.21086i | −0.100433 | − | 0.0729691i | ||||
\(919\) | 6.58668 | + | 4.78550i | 0.217275 | + | 0.157859i | 0.691099 | − | 0.722760i | \(-0.257127\pi\) |
−0.473824 | + | 0.880619i | \(0.657127\pi\) | |||||||
\(920\) | 2.37891 | − | 7.32152i | 0.0784302 | − | 0.241383i | ||||
\(921\) | 2.34190 | + | 7.20762i | 0.0771682 | + | 0.237499i | ||||
\(922\) | −0.354478 | + | 0.257543i | −0.0116741 | + | 0.00848174i | ||||
\(923\) | 66.6256 | 2.19301 | ||||||||
\(924\) | 8.93233 | + | 4.00649i | 0.293852 | + | 0.131804i | ||||
\(925\) | −4.56071 | −0.149955 | ||||||||
\(926\) | −16.3212 | + | 11.8580i | −0.536348 | + | 0.389679i | ||||
\(927\) | 4.23910 | + | 13.0466i | 0.139230 | + | 0.428507i | ||||
\(928\) | 0.813681 | − | 2.50425i | 0.0267104 | − | 0.0822061i | ||||
\(929\) | −18.9082 | − | 13.7376i | −0.620358 | − | 0.450716i | 0.232689 | − | 0.972551i | \(-0.425248\pi\) |
−0.853046 | + | 0.521835i | \(0.825248\pi\) | |||||||
\(930\) | 7.69276 | + | 5.58912i | 0.252256 | + | 0.183274i | ||||
\(931\) | −1.25005 | + | 3.84724i | −0.0409686 | + | 0.126088i | ||||
\(932\) | −9.03652 | − | 27.8115i | −0.296001 | − | 0.910997i | ||||
\(933\) | −77.6773 | + | 56.4359i | −2.54304 | + | 1.84763i | ||||
\(934\) | 3.27449 | 0.107145 | ||||||||
\(935\) | 1.52489 | − | 0.319733i | 0.0498694 | − | 0.0104564i | ||||
\(936\) | 33.1379 | 1.08314 | ||||||||
\(937\) | −41.1613 | + | 29.9054i | −1.34468 | + | 0.976968i | −0.345424 | + | 0.938447i | \(0.612265\pi\) |
−0.999258 | + | 0.0385216i | \(0.987735\pi\) | |||||||
\(938\) | −2.07974 | − | 6.40079i | −0.0679060 | − | 0.208993i | ||||
\(939\) | 7.10309 | − | 21.8611i | 0.231801 | − | 0.713409i | ||||
\(940\) | −3.46718 | − | 2.51906i | −0.113087 | − | 0.0821625i | ||||
\(941\) | 10.6827 | + | 7.76143i | 0.348246 | + | 0.253015i | 0.748133 | − | 0.663549i | \(-0.230951\pi\) |
−0.399887 | + | 0.916564i | \(0.630951\pi\) | |||||||
\(942\) | −8.26667 | + | 25.4422i | −0.269343 | + | 0.828951i | ||||
\(943\) | −4.34086 | − | 13.3598i | −0.141358 | − | 0.435054i | ||||
\(944\) | 10.5480 | − | 7.66356i | 0.343308 | − | 0.249428i | ||||
\(945\) | 8.00674 | 0.260459 | ||||||||
\(946\) | −1.30499 | − | 2.27477i | −0.0424288 | − | 0.0739592i | ||||
\(947\) | 0.766130 | 0.0248959 | 0.0124479 | − | 0.999923i | \(-0.496038\pi\) | ||||
0.0124479 | + | 0.999923i | \(0.496038\pi\) | |||||||
\(948\) | 9.43924 | − | 6.85801i | 0.306572 | − | 0.222738i | ||||
\(949\) | 21.9673 | + | 67.6085i | 0.713090 | + | 2.19466i | ||||
\(950\) | −1.25005 | + | 3.84724i | −0.0405568 | + | 0.124821i | ||||
\(951\) | −41.7137 | − | 30.3068i | −1.35266 | − | 0.982765i | ||||
\(952\) | 0.380053 | + | 0.276124i | 0.0123176 | + | 0.00894924i | ||||
\(953\) | −2.29418 | + | 7.06076i | −0.0743157 | + | 0.228720i | −0.981314 | − | 0.192415i | \(-0.938368\pi\) |
0.906998 | + | 0.421135i | \(0.138368\pi\) | |||||||
\(954\) | 24.6082 | + | 75.7363i | 0.796720 | + | 2.45205i | ||||
\(955\) | −22.1142 | + | 16.0669i | −0.715598 | + | 0.519913i | ||||
\(956\) | −8.72767 | −0.282273 | ||||||||
\(957\) | −2.76519 | + | 25.6288i | −0.0893859 | + | 0.828461i | ||||
\(958\) | −27.0594 | −0.874250 | ||||||||
\(959\) | −14.2590 | + | 10.3597i | −0.460446 | + | 0.334534i | ||||
\(960\) | 0.912128 | + | 2.80724i | 0.0294388 | + | 0.0906033i | ||||
\(961\) | −6.37263 | + | 19.6129i | −0.205569 | + | 0.632676i | ||||
\(962\) | 21.4034 | + | 15.5505i | 0.690072 | + | 0.501367i | ||||
\(963\) | −28.0143 | − | 20.3536i | −0.902748 | − | 0.655885i | ||||
\(964\) | −2.96304 | + | 9.11929i | −0.0954330 | + | 0.293712i | ||||
\(965\) | −5.20796 | − | 16.0284i | −0.167650 | − | 0.515974i | ||||
\(966\) | −18.3834 | + | 13.3563i | −0.591476 | + | 0.429733i | ||||
\(967\) | 33.2841 | 1.07035 | 0.535173 | − | 0.844743i | \(-0.320247\pi\) | ||||
0.535173 | + | 0.844743i | \(0.320247\pi\) | |||||||
\(968\) | −1.08944 | − | 10.9459i | −0.0350161 | − | 0.351815i | ||||
\(969\) | −5.60922 | −0.180194 | ||||||||
\(970\) | −13.5518 | + | 9.84599i | −0.435124 | + | 0.316136i | ||||
\(971\) | −5.86258 | − | 18.0432i | −0.188139 | − | 0.579033i | 0.811849 | − | 0.583867i | \(-0.198461\pi\) |
−0.999988 | + | 0.00483423i | \(0.998461\pi\) | |||||||
\(972\) | 1.49764 | − | 4.60925i | 0.0480367 | − | 0.147842i | ||||
\(973\) | −15.1017 | − | 10.9720i | −0.484138 | − | 0.351747i | ||||
\(974\) | −20.7987 | − | 15.1111i | −0.666434 | − | 0.484192i | ||||
\(975\) | −5.29112 | + | 16.2844i | −0.169452 | + | 0.521518i | ||||
\(976\) | −2.06934 | − | 6.36876i | −0.0662378 | − | 0.203859i | ||||
\(977\) | −36.2008 | + | 26.3015i | −1.15817 | + | 0.841458i | −0.989545 | − | 0.144223i | \(-0.953932\pi\) |
−0.168622 | + | 0.985681i | \(0.553932\pi\) | |||||||
\(978\) | 5.00962 | 0.160190 | ||||||||
\(979\) | −4.01198 | + | 37.1845i | −0.128223 | + | 1.18842i | ||||
\(980\) | −1.00000 | −0.0319438 | ||||||||
\(981\) | −50.2716 | + | 36.5244i | −1.60505 | + | 1.16614i | ||||
\(982\) | −8.96397 | − | 27.5883i | −0.286052 | − | 0.880377i | ||||
\(983\) | 0.304287 | − | 0.936499i | 0.00970525 | − | 0.0298697i | −0.946087 | − | 0.323914i | \(-0.895001\pi\) |
0.955792 | + | 0.294044i | \(0.0950012\pi\) | |||||||
\(984\) | 4.35742 | + | 3.16585i | 0.138909 | + | 0.100924i | ||||
\(985\) | −3.76888 | − | 2.73826i | −0.120087 | − | 0.0872481i | ||||
\(986\) | −0.382244 | + | 1.17642i | −0.0121731 | + | 0.0374650i | ||||
\(987\) | 3.90908 | + | 12.0309i | 0.124427 | + | 0.382948i | ||||
\(988\) | 18.9842 | − | 13.7929i | 0.603969 | − | 0.438809i | ||||
\(989\) | 6.08718 | 0.193561 | ||||||||
\(990\) | −9.42794 | − | 16.4342i | −0.299640 | − | 0.522313i | ||||
\(991\) | −58.3261 | −1.85279 | −0.926395 | − | 0.376554i | \(-0.877109\pi\) | ||||
−0.926395 | + | 0.376554i | \(0.877109\pi\) | |||||||
\(992\) | 2.60621 | − | 1.89352i | 0.0827471 | − | 0.0601193i | ||||
\(993\) | 1.84014 | + | 5.66338i | 0.0583952 | + | 0.179722i | ||||
\(994\) | 3.54921 | − | 10.9233i | 0.112574 | − | 0.346467i | ||||
\(995\) | −9.87650 | − | 7.17570i | −0.313106 | − | 0.227485i | ||||
\(996\) | −22.5617 | − | 16.3920i | −0.714894 | − | 0.519401i | ||||
\(997\) | 10.1890 | − | 31.3586i | 0.322690 | − | 0.993136i | −0.649783 | − | 0.760120i | \(-0.725140\pi\) |
0.972473 | − | 0.233017i | \(-0.0748597\pi\) | |||||||
\(998\) | 7.04866 | + | 21.6935i | 0.223121 | + | 0.686697i | ||||
\(999\) | −29.5424 | + | 21.4638i | −0.934680 | + | 0.679084i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 770.2.n.h.421.1 | ✓ | 12 | |
11.2 | odd | 10 | 8470.2.a.cu.1.2 | 6 | |||
11.4 | even | 5 | inner | 770.2.n.h.631.1 | yes | 12 | |
11.9 | even | 5 | 8470.2.a.da.1.2 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.n.h.421.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
770.2.n.h.631.1 | yes | 12 | 11.4 | even | 5 | inner | |
8470.2.a.cu.1.2 | 6 | 11.2 | odd | 10 | |||
8470.2.a.da.1.2 | 6 | 11.9 | even | 5 |