Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(229,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.229");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.d (of order \(2\), degree \(1\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 229.5 | ||
Root | \(-0.854638 + 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.229 |
Dual form | 570.2.d.c.229.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.539189 | − | 2.17009i | −0.241133 | − | 0.970492i | ||||
\(6\) | −1.00000 | −0.408248 | ||||||||
\(7\) | 1.07838i | 0.407588i | 0.979014 | + | 0.203794i | \(0.0653274\pi\) | ||||
−0.979014 | + | 0.203794i | \(0.934673\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.17009 | − | 0.539189i | 0.686242 | − | 0.170506i | ||||
\(11\) | 6.34017 | 1.91163 | 0.955817 | − | 0.293962i | \(-0.0949740\pi\) | ||||
0.955817 | + | 0.293962i | \(0.0949740\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | 3.41855i | 0.948135i | 0.880488 | + | 0.474068i | \(0.157215\pi\) | ||||
−0.880488 | + | 0.474068i | \(0.842785\pi\) | |||||||
\(14\) | −1.07838 | −0.288209 | ||||||||
\(15\) | 2.17009 | − | 0.539189i | 0.560314 | − | 0.139218i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.41855i | 1.31419i | 0.753807 | + | 0.657096i | \(0.228215\pi\) | ||||
−0.753807 | + | 0.657096i | \(0.771785\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 0.539189 | + | 2.17009i | 0.120566 | + | 0.485246i | ||||
\(21\) | −1.07838 | −0.235321 | ||||||||
\(22\) | 6.34017i | 1.35173i | ||||||||
\(23\) | 6.34017i | 1.32202i | 0.750378 | + | 0.661009i | \(0.229871\pi\) | ||||
−0.750378 | + | 0.661009i | \(0.770129\pi\) | |||||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −4.41855 | + | 2.34017i | −0.883710 | + | 0.468035i | ||||
\(26\) | −3.41855 | −0.670433 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | − | 1.07838i | − | 0.203794i | ||||||
\(29\) | 0.340173 | 0.0631685 | 0.0315843 | − | 0.999501i | \(-0.489945\pi\) | ||||
0.0315843 | + | 0.999501i | \(0.489945\pi\) | |||||||
\(30\) | 0.539189 | + | 2.17009i | 0.0984420 | + | 0.396202i | ||||
\(31\) | 1.07838 | 0.193682 | 0.0968412 | − | 0.995300i | \(-0.469126\pi\) | ||||
0.0968412 | + | 0.995300i | \(0.469126\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 6.34017i | 1.10368i | ||||||||
\(34\) | −5.41855 | −0.929274 | ||||||||
\(35\) | 2.34017 | − | 0.581449i | 0.395561 | − | 0.0982829i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 3.41855i | − | 0.562006i | −0.959707 | − | 0.281003i | \(-0.909333\pi\) | ||
0.959707 | − | 0.281003i | \(-0.0906671\pi\) | |||||||
\(38\) | − | 1.00000i | − | 0.162221i | ||||||
\(39\) | −3.41855 | −0.547406 | ||||||||
\(40\) | −2.17009 | + | 0.539189i | −0.343121 | + | 0.0852532i | ||||
\(41\) | 7.60197 | 1.18723 | 0.593614 | − | 0.804750i | \(-0.297701\pi\) | ||||
0.593614 | + | 0.804750i | \(0.297701\pi\) | |||||||
\(42\) | − | 1.07838i | − | 0.166397i | ||||||
\(43\) | − | 11.1773i | − | 1.70452i | −0.523120 | − | 0.852259i | \(-0.675232\pi\) | ||
0.523120 | − | 0.852259i | \(-0.324768\pi\) | |||||||
\(44\) | −6.34017 | −0.955817 | ||||||||
\(45\) | 0.539189 | + | 2.17009i | 0.0803775 | + | 0.323497i | ||||
\(46\) | −6.34017 | −0.934808 | ||||||||
\(47\) | 6.34017i | 0.924809i | 0.886669 | + | 0.462405i | \(0.153013\pi\) | ||||
−0.886669 | + | 0.462405i | \(0.846987\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 5.83710 | 0.833872 | ||||||||
\(50\) | −2.34017 | − | 4.41855i | −0.330950 | − | 0.624877i | ||||
\(51\) | −5.41855 | −0.758749 | ||||||||
\(52\) | − | 3.41855i | − | 0.474068i | ||||||
\(53\) | 6.00000i | 0.824163i | 0.911147 | + | 0.412082i | \(0.135198\pi\) | ||||
−0.911147 | + | 0.412082i | \(0.864802\pi\) | |||||||
\(54\) | 1.00000 | 0.136083 | ||||||||
\(55\) | −3.41855 | − | 13.7587i | −0.460957 | − | 1.85523i | ||||
\(56\) | 1.07838 | 0.144104 | ||||||||
\(57\) | − | 1.00000i | − | 0.132453i | ||||||
\(58\) | 0.340173i | 0.0446669i | ||||||||
\(59\) | −0.738205 | −0.0961061 | −0.0480530 | − | 0.998845i | \(-0.515302\pi\) | ||||
−0.0480530 | + | 0.998845i | \(0.515302\pi\) | |||||||
\(60\) | −2.17009 | + | 0.539189i | −0.280157 | + | 0.0696090i | ||||
\(61\) | −2.68035 | −0.343183 | −0.171592 | − | 0.985168i | \(-0.554891\pi\) | ||||
−0.171592 | + | 0.985168i | \(0.554891\pi\) | |||||||
\(62\) | 1.07838i | 0.136954i | ||||||||
\(63\) | − | 1.07838i | − | 0.135863i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 7.41855 | − | 1.84324i | 0.920158 | − | 0.228626i | ||||
\(66\) | −6.34017 | −0.780421 | ||||||||
\(67\) | − | 2.83710i | − | 0.346607i | −0.984868 | − | 0.173304i | \(-0.944556\pi\) | ||
0.984868 | − | 0.173304i | \(-0.0554442\pi\) | |||||||
\(68\) | − | 5.41855i | − | 0.657096i | ||||||
\(69\) | −6.34017 | −0.763267 | ||||||||
\(70\) | 0.581449 | + | 2.34017i | 0.0694965 | + | 0.279704i | ||||
\(71\) | −2.83710 | −0.336702 | −0.168351 | − | 0.985727i | \(-0.553844\pi\) | ||||
−0.168351 | + | 0.985727i | \(0.553844\pi\) | |||||||
\(72\) | 1.00000i | 0.117851i | ||||||||
\(73\) | 6.83710i | 0.800222i | 0.916467 | + | 0.400111i | \(0.131028\pi\) | ||||
−0.916467 | + | 0.400111i | \(0.868972\pi\) | |||||||
\(74\) | 3.41855 | 0.397398 | ||||||||
\(75\) | −2.34017 | − | 4.41855i | −0.270220 | − | 0.510210i | ||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | 6.83710i | 0.779160i | ||||||||
\(78\) | − | 3.41855i | − | 0.387075i | ||||||
\(79\) | 1.07838 | 0.121327 | 0.0606635 | − | 0.998158i | \(-0.480678\pi\) | ||||
0.0606635 | + | 0.998158i | \(0.480678\pi\) | |||||||
\(80\) | −0.539189 | − | 2.17009i | −0.0602831 | − | 0.242623i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 7.60197i | 0.839497i | ||||||||
\(83\) | 0.894960i | 0.0982347i | 0.998793 | + | 0.0491173i | \(0.0156408\pi\) | ||||
−0.998793 | + | 0.0491173i | \(0.984359\pi\) | |||||||
\(84\) | 1.07838 | 0.117661 | ||||||||
\(85\) | 11.7587 | − | 2.92162i | 1.27541 | − | 0.316894i | ||||
\(86\) | 11.1773 | 1.20528 | ||||||||
\(87\) | 0.340173i | 0.0364704i | ||||||||
\(88\) | − | 6.34017i | − | 0.675865i | ||||||
\(89\) | −6.92162 | −0.733690 | −0.366845 | − | 0.930282i | \(-0.619562\pi\) | ||||
−0.366845 | + | 0.930282i | \(0.619562\pi\) | |||||||
\(90\) | −2.17009 | + | 0.539189i | −0.228747 | + | 0.0568355i | ||||
\(91\) | −3.68649 | −0.386449 | ||||||||
\(92\) | − | 6.34017i | − | 0.661009i | ||||||
\(93\) | 1.07838i | 0.111823i | ||||||||
\(94\) | −6.34017 | −0.653939 | ||||||||
\(95\) | 0.539189 | + | 2.17009i | 0.0553196 | + | 0.222646i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 3.65983i | 0.371599i | 0.982588 | + | 0.185800i | \(0.0594875\pi\) | ||||
−0.982588 | + | 0.185800i | \(0.940512\pi\) | |||||||
\(98\) | 5.83710i | 0.589636i | ||||||||
\(99\) | −6.34017 | −0.637211 | ||||||||
\(100\) | 4.41855 | − | 2.34017i | 0.441855 | − | 0.234017i | ||||
\(101\) | 19.6020 | 1.95047 | 0.975234 | − | 0.221174i | \(-0.0709889\pi\) | ||||
0.975234 | + | 0.221174i | \(0.0709889\pi\) | |||||||
\(102\) | − | 5.41855i | − | 0.536516i | ||||||
\(103\) | − | 11.7587i | − | 1.15862i | −0.815107 | − | 0.579311i | \(-0.803322\pi\) | ||
0.815107 | − | 0.579311i | \(-0.196678\pi\) | |||||||
\(104\) | 3.41855 | 0.335216 | ||||||||
\(105\) | 0.581449 | + | 2.34017i | 0.0567436 | + | 0.228377i | ||||
\(106\) | −6.00000 | −0.582772 | ||||||||
\(107\) | − | 6.15676i | − | 0.595196i | −0.954691 | − | 0.297598i | \(-0.903814\pi\) | ||
0.954691 | − | 0.297598i | \(-0.0961855\pi\) | |||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | −17.9155 | −1.71599 | −0.857996 | − | 0.513657i | \(-0.828291\pi\) | ||||
−0.857996 | + | 0.513657i | \(0.828291\pi\) | |||||||
\(110\) | 13.7587 | − | 3.41855i | 1.31184 | − | 0.325946i | ||||
\(111\) | 3.41855 | 0.324474 | ||||||||
\(112\) | 1.07838i | 0.101897i | ||||||||
\(113\) | − | 13.2039i | − | 1.24212i | −0.783762 | − | 0.621061i | \(-0.786702\pi\) | ||
0.783762 | − | 0.621061i | \(-0.213298\pi\) | |||||||
\(114\) | 1.00000 | 0.0936586 | ||||||||
\(115\) | 13.7587 | − | 3.41855i | 1.28301 | − | 0.318781i | ||||
\(116\) | −0.340173 | −0.0315843 | ||||||||
\(117\) | − | 3.41855i | − | 0.316045i | ||||||
\(118\) | − | 0.738205i | − | 0.0679573i | ||||||
\(119\) | −5.84324 | −0.535649 | ||||||||
\(120\) | −0.539189 | − | 2.17009i | −0.0492210 | − | 0.198101i | ||||
\(121\) | 29.1978 | 2.65434 | ||||||||
\(122\) | − | 2.68035i | − | 0.242667i | ||||||
\(123\) | 7.60197i | 0.685446i | ||||||||
\(124\) | −1.07838 | −0.0968412 | ||||||||
\(125\) | 7.46081 | + | 8.32684i | 0.667315 | + | 0.744775i | ||||
\(126\) | 1.07838 | 0.0960695 | ||||||||
\(127\) | 0.921622i | 0.0817808i | 0.999164 | + | 0.0408904i | \(0.0130194\pi\) | ||||
−0.999164 | + | 0.0408904i | \(0.986981\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 11.1773 | 0.984104 | ||||||||
\(130\) | 1.84324 | + | 7.41855i | 0.161663 | + | 0.650650i | ||||
\(131\) | 10.6537 | 0.930817 | 0.465408 | − | 0.885096i | \(-0.345907\pi\) | ||||
0.465408 | + | 0.885096i | \(0.345907\pi\) | |||||||
\(132\) | − | 6.34017i | − | 0.551841i | ||||||
\(133\) | − | 1.07838i | − | 0.0935072i | ||||||
\(134\) | 2.83710 | 0.245088 | ||||||||
\(135\) | −2.17009 | + | 0.539189i | −0.186771 | + | 0.0464060i | ||||
\(136\) | 5.41855 | 0.464637 | ||||||||
\(137\) | − | 20.6225i | − | 1.76190i | −0.473211 | − | 0.880949i | \(-0.656905\pi\) | ||
0.473211 | − | 0.880949i | \(-0.343095\pi\) | |||||||
\(138\) | − | 6.34017i | − | 0.539711i | ||||||
\(139\) | −18.8371 | −1.59774 | −0.798871 | − | 0.601502i | \(-0.794569\pi\) | ||||
−0.798871 | + | 0.601502i | \(0.794569\pi\) | |||||||
\(140\) | −2.34017 | + | 0.581449i | −0.197781 | + | 0.0491414i | ||||
\(141\) | −6.34017 | −0.533939 | ||||||||
\(142\) | − | 2.83710i | − | 0.238084i | ||||||
\(143\) | 21.6742i | 1.81249i | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −0.183417 | − | 0.738205i | −0.0152320 | − | 0.0613046i | ||||
\(146\) | −6.83710 | −0.565843 | ||||||||
\(147\) | 5.83710i | 0.481436i | ||||||||
\(148\) | 3.41855i | 0.281003i | ||||||||
\(149\) | 5.44521 | 0.446089 | 0.223045 | − | 0.974808i | \(-0.428400\pi\) | ||||
0.223045 | + | 0.974808i | \(0.428400\pi\) | |||||||
\(150\) | 4.41855 | − | 2.34017i | 0.360773 | − | 0.191074i | ||||
\(151\) | −23.1194 | −1.88143 | −0.940716 | − | 0.339196i | \(-0.889845\pi\) | ||||
−0.940716 | + | 0.339196i | \(0.889845\pi\) | |||||||
\(152\) | 1.00000i | 0.0811107i | ||||||||
\(153\) | − | 5.41855i | − | 0.438064i | ||||||
\(154\) | −6.83710 | −0.550949 | ||||||||
\(155\) | −0.581449 | − | 2.34017i | −0.0467031 | − | 0.187967i | ||||
\(156\) | 3.41855 | 0.273703 | ||||||||
\(157\) | 9.73206i | 0.776703i | 0.921511 | + | 0.388352i | \(0.126955\pi\) | ||||
−0.921511 | + | 0.388352i | \(0.873045\pi\) | |||||||
\(158\) | 1.07838i | 0.0857911i | ||||||||
\(159\) | −6.00000 | −0.475831 | ||||||||
\(160\) | 2.17009 | − | 0.539189i | 0.171560 | − | 0.0426266i | ||||
\(161\) | −6.83710 | −0.538839 | ||||||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | − | 6.49693i | − | 0.508879i | −0.967089 | − | 0.254439i | \(-0.918109\pi\) | ||
0.967089 | − | 0.254439i | \(-0.0818909\pi\) | |||||||
\(164\) | −7.60197 | −0.593614 | ||||||||
\(165\) | 13.7587 | − | 3.41855i | 1.07112 | − | 0.266134i | ||||
\(166\) | −0.894960 | −0.0694624 | ||||||||
\(167\) | − | 20.9939i | − | 1.62455i | −0.583272 | − | 0.812277i | \(-0.698228\pi\) | ||
0.583272 | − | 0.812277i | \(-0.301772\pi\) | |||||||
\(168\) | 1.07838i | 0.0831986i | ||||||||
\(169\) | 1.31351 | 0.101039 | ||||||||
\(170\) | 2.92162 | + | 11.7587i | 0.224078 | + | 0.901853i | ||||
\(171\) | 1.00000 | 0.0764719 | ||||||||
\(172\) | 11.1773i | 0.852259i | ||||||||
\(173\) | − | 6.99386i | − | 0.531733i | −0.964010 | − | 0.265867i | \(-0.914342\pi\) | ||
0.964010 | − | 0.265867i | \(-0.0856581\pi\) | |||||||
\(174\) | −0.340173 | −0.0257884 | ||||||||
\(175\) | −2.52359 | − | 4.76487i | −0.190766 | − | 0.360190i | ||||
\(176\) | 6.34017 | 0.477909 | ||||||||
\(177\) | − | 0.738205i | − | 0.0554869i | ||||||
\(178\) | − | 6.92162i | − | 0.518798i | ||||||
\(179\) | 4.73820 | 0.354150 | 0.177075 | − | 0.984197i | \(-0.443336\pi\) | ||||
0.177075 | + | 0.984197i | \(0.443336\pi\) | |||||||
\(180\) | −0.539189 | − | 2.17009i | −0.0401888 | − | 0.161749i | ||||
\(181\) | −12.0722 | −0.897322 | −0.448661 | − | 0.893702i | \(-0.648099\pi\) | ||||
−0.448661 | + | 0.893702i | \(0.648099\pi\) | |||||||
\(182\) | − | 3.68649i | − | 0.273261i | ||||||
\(183\) | − | 2.68035i | − | 0.198137i | ||||||
\(184\) | 6.34017 | 0.467404 | ||||||||
\(185\) | −7.41855 | + | 1.84324i | −0.545423 | + | 0.135518i | ||||
\(186\) | −1.07838 | −0.0790705 | ||||||||
\(187\) | 34.3545i | 2.51225i | ||||||||
\(188\) | − | 6.34017i | − | 0.462405i | ||||||
\(189\) | 1.07838 | 0.0784404 | ||||||||
\(190\) | −2.17009 | + | 0.539189i | −0.157435 | + | 0.0391169i | ||||
\(191\) | −7.26180 | −0.525445 | −0.262723 | − | 0.964871i | \(-0.584620\pi\) | ||||
−0.262723 | + | 0.964871i | \(0.584620\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | − | 18.8638i | − | 1.35784i | −0.734211 | − | 0.678922i | \(-0.762448\pi\) | ||
0.734211 | − | 0.678922i | \(-0.237552\pi\) | |||||||
\(194\) | −3.65983 | −0.262760 | ||||||||
\(195\) | 1.84324 | + | 7.41855i | 0.131997 | + | 0.531253i | ||||
\(196\) | −5.83710 | −0.416936 | ||||||||
\(197\) | − | 17.7009i | − | 1.26113i | −0.776135 | − | 0.630567i | \(-0.782822\pi\) | ||
0.776135 | − | 0.630567i | \(-0.217178\pi\) | |||||||
\(198\) | − | 6.34017i | − | 0.450576i | ||||||
\(199\) | 0.313511 | 0.0222242 | 0.0111121 | − | 0.999938i | \(-0.496463\pi\) | ||||
0.0111121 | + | 0.999938i | \(0.496463\pi\) | |||||||
\(200\) | 2.34017 | + | 4.41855i | 0.165475 | + | 0.312439i | ||||
\(201\) | 2.83710 | 0.200114 | ||||||||
\(202\) | 19.6020i | 1.37919i | ||||||||
\(203\) | 0.366835i | 0.0257468i | ||||||||
\(204\) | 5.41855 | 0.379374 | ||||||||
\(205\) | −4.09890 | − | 16.4969i | −0.286279 | − | 1.15220i | ||||
\(206\) | 11.7587 | 0.819269 | ||||||||
\(207\) | − | 6.34017i | − | 0.440672i | ||||||
\(208\) | 3.41855i | 0.237034i | ||||||||
\(209\) | −6.34017 | −0.438559 | ||||||||
\(210\) | −2.34017 | + | 0.581449i | −0.161487 | + | 0.0401238i | ||||
\(211\) | 14.8371 | 1.02143 | 0.510714 | − | 0.859751i | \(-0.329381\pi\) | ||||
0.510714 | + | 0.859751i | \(0.329381\pi\) | |||||||
\(212\) | − | 6.00000i | − | 0.412082i | ||||||
\(213\) | − | 2.83710i | − | 0.194395i | ||||||
\(214\) | 6.15676 | 0.420867 | ||||||||
\(215\) | −24.2557 | + | 6.02666i | −1.65422 | + | 0.411015i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 1.16290i | 0.0789427i | ||||||||
\(218\) | − | 17.9155i | − | 1.21339i | ||||||
\(219\) | −6.83710 | −0.462009 | ||||||||
\(220\) | 3.41855 | + | 13.7587i | 0.230479 | + | 0.927613i | ||||
\(221\) | −18.5236 | −1.24603 | ||||||||
\(222\) | 3.41855i | 0.229438i | ||||||||
\(223\) | 1.28846i | 0.0862815i | 0.999069 | + | 0.0431407i | \(0.0137364\pi\) | ||||
−0.999069 | + | 0.0431407i | \(0.986264\pi\) | |||||||
\(224\) | −1.07838 | −0.0720521 | ||||||||
\(225\) | 4.41855 | − | 2.34017i | 0.294570 | − | 0.156012i | ||||
\(226\) | 13.2039 | 0.878313 | ||||||||
\(227\) | − | 20.9939i | − | 1.39341i | −0.717357 | − | 0.696706i | \(-0.754648\pi\) | ||
0.717357 | − | 0.696706i | \(-0.245352\pi\) | |||||||
\(228\) | 1.00000i | 0.0662266i | ||||||||
\(229\) | 2.36683 | 0.156405 | 0.0782024 | − | 0.996938i | \(-0.475082\pi\) | ||||
0.0782024 | + | 0.996938i | \(0.475082\pi\) | |||||||
\(230\) | 3.41855 | + | 13.7587i | 0.225413 | + | 0.907223i | ||||
\(231\) | −6.83710 | −0.449848 | ||||||||
\(232\) | − | 0.340173i | − | 0.0223334i | ||||||
\(233\) | 5.10504i | 0.334442i | 0.985919 | + | 0.167221i | \(0.0534794\pi\) | ||||
−0.985919 | + | 0.167221i | \(0.946521\pi\) | |||||||
\(234\) | 3.41855 | 0.223478 | ||||||||
\(235\) | 13.7587 | − | 3.41855i | 0.897520 | − | 0.223002i | ||||
\(236\) | 0.738205 | 0.0480530 | ||||||||
\(237\) | 1.07838i | 0.0700482i | ||||||||
\(238\) | − | 5.84324i | − | 0.378761i | ||||||
\(239\) | −10.4124 | −0.673523 | −0.336761 | − | 0.941590i | \(-0.609332\pi\) | ||||
−0.336761 | + | 0.941590i | \(0.609332\pi\) | |||||||
\(240\) | 2.17009 | − | 0.539189i | 0.140078 | − | 0.0348045i | ||||
\(241\) | 3.36069 | 0.216481 | 0.108241 | − | 0.994125i | \(-0.465478\pi\) | ||||
0.108241 | + | 0.994125i | \(0.465478\pi\) | |||||||
\(242\) | 29.1978i | 1.87691i | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 2.68035 | 0.171592 | ||||||||
\(245\) | −3.14730 | − | 12.6670i | −0.201074 | − | 0.809266i | ||||
\(246\) | −7.60197 | −0.484684 | ||||||||
\(247\) | − | 3.41855i | − | 0.217517i | ||||||
\(248\) | − | 1.07838i | − | 0.0684771i | ||||||
\(249\) | −0.894960 | −0.0567158 | ||||||||
\(250\) | −8.32684 | + | 7.46081i | −0.526636 | + | 0.471863i | ||||
\(251\) | 21.8576 | 1.37964 | 0.689820 | − | 0.723981i | \(-0.257689\pi\) | ||||
0.689820 | + | 0.723981i | \(0.257689\pi\) | |||||||
\(252\) | 1.07838i | 0.0679314i | ||||||||
\(253\) | 40.1978i | 2.52721i | ||||||||
\(254\) | −0.921622 | −0.0578277 | ||||||||
\(255\) | 2.92162 | + | 11.7587i | 0.182959 | + | 0.736360i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 26.8781i | 1.67661i | 0.545200 | + | 0.838306i | \(0.316454\pi\) | ||||
−0.545200 | + | 0.838306i | \(0.683546\pi\) | |||||||
\(258\) | 11.1773i | 0.695867i | ||||||||
\(259\) | 3.68649 | 0.229067 | ||||||||
\(260\) | −7.41855 | + | 1.84324i | −0.460079 | + | 0.114313i | ||||
\(261\) | −0.340173 | −0.0210562 | ||||||||
\(262\) | 10.6537i | 0.658187i | ||||||||
\(263\) | 22.3402i | 1.37755i | 0.724973 | + | 0.688777i | \(0.241852\pi\) | ||||
−0.724973 | + | 0.688777i | \(0.758148\pi\) | |||||||
\(264\) | 6.34017 | 0.390211 | ||||||||
\(265\) | 13.0205 | − | 3.23513i | 0.799844 | − | 0.198733i | ||||
\(266\) | 1.07838 | 0.0661196 | ||||||||
\(267\) | − | 6.92162i | − | 0.423596i | ||||||
\(268\) | 2.83710i | 0.173304i | ||||||||
\(269\) | 17.3340 | 1.05687 | 0.528437 | − | 0.848972i | \(-0.322778\pi\) | ||||
0.528437 | + | 0.848972i | \(0.322778\pi\) | |||||||
\(270\) | −0.539189 | − | 2.17009i | −0.0328140 | − | 0.132067i | ||||
\(271\) | −13.3607 | −0.811604 | −0.405802 | − | 0.913961i | \(-0.633008\pi\) | ||||
−0.405802 | + | 0.913961i | \(0.633008\pi\) | |||||||
\(272\) | 5.41855i | 0.328548i | ||||||||
\(273\) | − | 3.68649i | − | 0.223116i | ||||||
\(274\) | 20.6225 | 1.24585 | ||||||||
\(275\) | −28.0144 | + | 14.8371i | −1.68933 | + | 0.894711i | ||||
\(276\) | 6.34017 | 0.381634 | ||||||||
\(277\) | − | 0.738205i | − | 0.0443544i | −0.999754 | − | 0.0221772i | \(-0.992940\pi\) | ||
0.999754 | − | 0.0221772i | \(-0.00705980\pi\) | |||||||
\(278\) | − | 18.8371i | − | 1.12977i | ||||||
\(279\) | −1.07838 | −0.0645608 | ||||||||
\(280\) | −0.581449 | − | 2.34017i | −0.0347482 | − | 0.139852i | ||||
\(281\) | −31.7998 | −1.89701 | −0.948507 | − | 0.316755i | \(-0.897407\pi\) | ||||
−0.948507 | + | 0.316755i | \(0.897407\pi\) | |||||||
\(282\) | − | 6.34017i | − | 0.377552i | ||||||
\(283\) | − | 4.70701i | − | 0.279803i | −0.990165 | − | 0.139901i | \(-0.955321\pi\) | ||
0.990165 | − | 0.139901i | \(-0.0446785\pi\) | |||||||
\(284\) | 2.83710 | 0.168351 | ||||||||
\(285\) | −2.17009 | + | 0.539189i | −0.128545 | + | 0.0319388i | ||||
\(286\) | −21.6742 | −1.28162 | ||||||||
\(287\) | 8.19779i | 0.483900i | ||||||||
\(288\) | − | 1.00000i | − | 0.0589256i | ||||||
\(289\) | −12.3607 | −0.727100 | ||||||||
\(290\) | 0.738205 | − | 0.183417i | 0.0433489 | − | 0.0107706i | ||||
\(291\) | −3.65983 | −0.214543 | ||||||||
\(292\) | − | 6.83710i | − | 0.400111i | ||||||
\(293\) | 26.1978i | 1.53049i | 0.643738 | + | 0.765246i | \(0.277383\pi\) | ||||
−0.643738 | + | 0.765246i | \(0.722617\pi\) | |||||||
\(294\) | −5.83710 | −0.340427 | ||||||||
\(295\) | 0.398032 | + | 1.60197i | 0.0231743 | + | 0.0932702i | ||||
\(296\) | −3.41855 | −0.198699 | ||||||||
\(297\) | − | 6.34017i | − | 0.367894i | ||||||
\(298\) | 5.44521i | 0.315433i | ||||||||
\(299\) | −21.6742 | −1.25345 | ||||||||
\(300\) | 2.34017 | + | 4.41855i | 0.135110 | + | 0.255105i | ||||
\(301\) | 12.0533 | 0.694742 | ||||||||
\(302\) | − | 23.1194i | − | 1.33037i | ||||||
\(303\) | 19.6020i | 1.12610i | ||||||||
\(304\) | −1.00000 | −0.0573539 | ||||||||
\(305\) | 1.44521 | + | 5.81658i | 0.0827526 | + | 0.333057i | ||||
\(306\) | 5.41855 | 0.309758 | ||||||||
\(307\) | − | 32.1978i | − | 1.83763i | −0.394694 | − | 0.918813i | \(-0.629149\pi\) | ||
0.394694 | − | 0.918813i | \(-0.370851\pi\) | |||||||
\(308\) | − | 6.83710i | − | 0.389580i | ||||||
\(309\) | 11.7587 | 0.668930 | ||||||||
\(310\) | 2.34017 | − | 0.581449i | 0.132913 | − | 0.0330241i | ||||
\(311\) | 16.7382 | 0.949137 | 0.474568 | − | 0.880219i | \(-0.342604\pi\) | ||||
0.474568 | + | 0.880219i | \(0.342604\pi\) | |||||||
\(312\) | 3.41855i | 0.193537i | ||||||||
\(313\) | − | 14.1568i | − | 0.800187i | −0.916474 | − | 0.400094i | \(-0.868978\pi\) | ||
0.916474 | − | 0.400094i | \(-0.131022\pi\) | |||||||
\(314\) | −9.73206 | −0.549212 | ||||||||
\(315\) | −2.34017 | + | 0.581449i | −0.131854 | + | 0.0327610i | ||||
\(316\) | −1.07838 | −0.0606635 | ||||||||
\(317\) | 21.8843i | 1.22914i | 0.788861 | + | 0.614572i | \(0.210671\pi\) | ||||
−0.788861 | + | 0.614572i | \(0.789329\pi\) | |||||||
\(318\) | − | 6.00000i | − | 0.336463i | ||||||
\(319\) | 2.15676 | 0.120755 | ||||||||
\(320\) | 0.539189 | + | 2.17009i | 0.0301416 | + | 0.121312i | ||||
\(321\) | 6.15676 | 0.343637 | ||||||||
\(322\) | − | 6.83710i | − | 0.381017i | ||||||
\(323\) | − | 5.41855i | − | 0.301496i | ||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −8.00000 | − | 15.1050i | −0.443760 | − | 0.837877i | ||||
\(326\) | 6.49693 | 0.359832 | ||||||||
\(327\) | − | 17.9155i | − | 0.990728i | ||||||
\(328\) | − | 7.60197i | − | 0.419748i | ||||||
\(329\) | −6.83710 | −0.376942 | ||||||||
\(330\) | 3.41855 | + | 13.7587i | 0.188185 | + | 0.757393i | ||||
\(331\) | −26.1568 | −1.43771 | −0.718853 | − | 0.695162i | \(-0.755332\pi\) | ||||
−0.718853 | + | 0.695162i | \(0.755332\pi\) | |||||||
\(332\) | − | 0.894960i | − | 0.0491173i | ||||||
\(333\) | 3.41855i | 0.187335i | ||||||||
\(334\) | 20.9939 | 1.14873 | ||||||||
\(335\) | −6.15676 | + | 1.52973i | −0.336379 | + | 0.0835783i | ||||
\(336\) | −1.07838 | −0.0588303 | ||||||||
\(337\) | 29.7009i | 1.61791i | 0.587871 | + | 0.808955i | \(0.299966\pi\) | ||||
−0.587871 | + | 0.808955i | \(0.700034\pi\) | |||||||
\(338\) | 1.31351i | 0.0714456i | ||||||||
\(339\) | 13.2039 | 0.717139 | ||||||||
\(340\) | −11.7587 | + | 2.92162i | −0.637706 | + | 0.158447i | ||||
\(341\) | 6.83710 | 0.370250 | ||||||||
\(342\) | 1.00000i | 0.0540738i | ||||||||
\(343\) | 13.8432i | 0.747465i | ||||||||
\(344\) | −11.1773 | −0.602638 | ||||||||
\(345\) | 3.41855 | + | 13.7587i | 0.184049 | + | 0.740745i | ||||
\(346\) | 6.99386 | 0.375992 | ||||||||
\(347\) | − | 23.4186i | − | 1.25717i | −0.777739 | − | 0.628587i | \(-0.783634\pi\) | ||
0.777739 | − | 0.628587i | \(-0.216366\pi\) | |||||||
\(348\) | − | 0.340173i | − | 0.0182352i | ||||||
\(349\) | −6.48255 | −0.347003 | −0.173502 | − | 0.984834i | \(-0.555508\pi\) | ||||
−0.173502 | + | 0.984834i | \(0.555508\pi\) | |||||||
\(350\) | 4.76487 | − | 2.52359i | 0.254693 | − | 0.134892i | ||||
\(351\) | 3.41855 | 0.182469 | ||||||||
\(352\) | 6.34017i | 0.337932i | ||||||||
\(353\) | 2.58145i | 0.137397i | 0.997637 | + | 0.0686983i | \(0.0218846\pi\) | ||||
−0.997637 | + | 0.0686983i | \(0.978115\pi\) | |||||||
\(354\) | 0.738205 | 0.0392351 | ||||||||
\(355\) | 1.52973 | + | 6.15676i | 0.0811898 | + | 0.326767i | ||||
\(356\) | 6.92162 | 0.366845 | ||||||||
\(357\) | − | 5.84324i | − | 0.309257i | ||||||
\(358\) | 4.73820i | 0.250422i | ||||||||
\(359\) | −28.1399 | −1.48517 | −0.742584 | − | 0.669752i | \(-0.766400\pi\) | ||||
−0.742584 | + | 0.669752i | \(0.766400\pi\) | |||||||
\(360\) | 2.17009 | − | 0.539189i | 0.114374 | − | 0.0284177i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | − | 12.0722i | − | 0.634503i | ||||||
\(363\) | 29.1978i | 1.53249i | ||||||||
\(364\) | 3.68649 | 0.193225 | ||||||||
\(365\) | 14.8371 | − | 3.68649i | 0.776609 | − | 0.192960i | ||||
\(366\) | 2.68035 | 0.140104 | ||||||||
\(367\) | − | 10.5548i | − | 0.550955i | −0.961307 | − | 0.275478i | \(-0.911164\pi\) | ||
0.961307 | − | 0.275478i | \(-0.0888360\pi\) | |||||||
\(368\) | 6.34017i | 0.330504i | ||||||||
\(369\) | −7.60197 | −0.395743 | ||||||||
\(370\) | −1.84324 | − | 7.41855i | −0.0958257 | − | 0.385672i | ||||
\(371\) | −6.47027 | −0.335919 | ||||||||
\(372\) | − | 1.07838i | − | 0.0559113i | ||||||
\(373\) | 17.8888i | 0.926248i | 0.886294 | + | 0.463124i | \(0.153272\pi\) | ||||
−0.886294 | + | 0.463124i | \(0.846728\pi\) | |||||||
\(374\) | −34.3545 | −1.77643 | ||||||||
\(375\) | −8.32684 | + | 7.46081i | −0.429996 | + | 0.385275i | ||||
\(376\) | 6.34017 | 0.326969 | ||||||||
\(377\) | 1.16290i | 0.0598923i | ||||||||
\(378\) | 1.07838i | 0.0554658i | ||||||||
\(379\) | −4.36683 | −0.224309 | −0.112155 | − | 0.993691i | \(-0.535775\pi\) | ||||
−0.112155 | + | 0.993691i | \(0.535775\pi\) | |||||||
\(380\) | −0.539189 | − | 2.17009i | −0.0276598 | − | 0.111323i | ||||
\(381\) | −0.921622 | −0.0472161 | ||||||||
\(382\) | − | 7.26180i | − | 0.371546i | ||||||
\(383\) | 22.5236i | 1.15090i | 0.817836 | + | 0.575451i | \(0.195173\pi\) | ||||
−0.817836 | + | 0.575451i | \(0.804827\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | 14.8371 | − | 3.68649i | 0.756169 | − | 0.187881i | ||||
\(386\) | 18.8638 | 0.960140 | ||||||||
\(387\) | 11.1773i | 0.568173i | ||||||||
\(388\) | − | 3.65983i | − | 0.185800i | ||||||
\(389\) | 9.07838 | 0.460292 | 0.230146 | − | 0.973156i | \(-0.426080\pi\) | ||||
0.230146 | + | 0.973156i | \(0.426080\pi\) | |||||||
\(390\) | −7.41855 | + | 1.84324i | −0.375653 | + | 0.0933363i | ||||
\(391\) | −34.3545 | −1.73738 | ||||||||
\(392\) | − | 5.83710i | − | 0.294818i | ||||||
\(393\) | 10.6537i | 0.537407i | ||||||||
\(394\) | 17.7009 | 0.891757 | ||||||||
\(395\) | −0.581449 | − | 2.34017i | −0.0292559 | − | 0.117747i | ||||
\(396\) | 6.34017 | 0.318606 | ||||||||
\(397\) | 3.74435i | 0.187923i | 0.995576 | + | 0.0939617i | \(0.0299531\pi\) | ||||
−0.995576 | + | 0.0939617i | \(0.970047\pi\) | |||||||
\(398\) | 0.313511i | 0.0157149i | ||||||||
\(399\) | 1.07838 | 0.0539864 | ||||||||
\(400\) | −4.41855 | + | 2.34017i | −0.220928 | + | 0.117009i | ||||
\(401\) | −11.9155 | −0.595031 | −0.297515 | − | 0.954717i | \(-0.596158\pi\) | ||||
−0.297515 | + | 0.954717i | \(0.596158\pi\) | |||||||
\(402\) | 2.83710i | 0.141502i | ||||||||
\(403\) | 3.68649i | 0.183637i | ||||||||
\(404\) | −19.6020 | −0.975234 | ||||||||
\(405\) | −0.539189 | − | 2.17009i | −0.0267925 | − | 0.107832i | ||||
\(406\) | −0.366835 | −0.0182057 | ||||||||
\(407\) | − | 21.6742i | − | 1.07435i | ||||||
\(408\) | 5.41855i | 0.268258i | ||||||||
\(409\) | 2.99386 | 0.148037 | 0.0740183 | − | 0.997257i | \(-0.476418\pi\) | ||||
0.0740183 | + | 0.997257i | \(0.476418\pi\) | |||||||
\(410\) | 16.4969 | − | 4.09890i | 0.814725 | − | 0.202430i | ||||
\(411\) | 20.6225 | 1.01723 | ||||||||
\(412\) | 11.7587i | 0.579311i | ||||||||
\(413\) | − | 0.796064i | − | 0.0391717i | ||||||
\(414\) | 6.34017 | 0.311603 | ||||||||
\(415\) | 1.94214 | − | 0.482553i | 0.0953360 | − | 0.0236876i | ||||
\(416\) | −3.41855 | −0.167608 | ||||||||
\(417\) | − | 18.8371i | − | 0.922457i | ||||||
\(418\) | − | 6.34017i | − | 0.310108i | ||||||
\(419\) | 33.5441 | 1.63874 | 0.819368 | − | 0.573267i | \(-0.194324\pi\) | ||||
0.819368 | + | 0.573267i | \(0.194324\pi\) | |||||||
\(420\) | −0.581449 | − | 2.34017i | −0.0283718 | − | 0.114189i | ||||
\(421\) | 31.5897 | 1.53959 | 0.769793 | − | 0.638293i | \(-0.220359\pi\) | ||||
0.769793 | + | 0.638293i | \(0.220359\pi\) | |||||||
\(422\) | 14.8371i | 0.722259i | ||||||||
\(423\) | − | 6.34017i | − | 0.308270i | ||||||
\(424\) | 6.00000 | 0.291386 | ||||||||
\(425\) | −12.6803 | − | 23.9421i | −0.615087 | − | 1.16136i | ||||
\(426\) | 2.83710 | 0.137458 | ||||||||
\(427\) | − | 2.89043i | − | 0.139877i | ||||||
\(428\) | 6.15676i | 0.297598i | ||||||||
\(429\) | −21.6742 | −1.04644 | ||||||||
\(430\) | −6.02666 | − | 24.2557i | −0.290631 | − | 1.16971i | ||||
\(431\) | −40.5113 | −1.95136 | −0.975680 | − | 0.219198i | \(-0.929656\pi\) | ||||
−0.975680 | + | 0.219198i | \(0.929656\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 5.13624i | 0.246832i | 0.992355 | + | 0.123416i | \(0.0393849\pi\) | ||||
−0.992355 | + | 0.123416i | \(0.960615\pi\) | |||||||
\(434\) | −1.16290 | −0.0558209 | ||||||||
\(435\) | 0.738205 | − | 0.183417i | 0.0353942 | − | 0.00879420i | ||||
\(436\) | 17.9155 | 0.857996 | ||||||||
\(437\) | − | 6.34017i | − | 0.303292i | ||||||
\(438\) | − | 6.83710i | − | 0.326689i | ||||||
\(439\) | 17.7054 | 0.845033 | 0.422516 | − | 0.906355i | \(-0.361147\pi\) | ||||
0.422516 | + | 0.906355i | \(0.361147\pi\) | |||||||
\(440\) | −13.7587 | + | 3.41855i | −0.655921 | + | 0.162973i | ||||
\(441\) | −5.83710 | −0.277957 | ||||||||
\(442\) | − | 18.5236i | − | 0.881077i | ||||||
\(443\) | 6.73820i | 0.320142i | 0.987106 | + | 0.160071i | \(0.0511723\pi\) | ||||
−0.987106 | + | 0.160071i | \(0.948828\pi\) | |||||||
\(444\) | −3.41855 | −0.162237 | ||||||||
\(445\) | 3.73206 | + | 15.0205i | 0.176917 | + | 0.712041i | ||||
\(446\) | −1.28846 | −0.0610102 | ||||||||
\(447\) | 5.44521i | 0.257550i | ||||||||
\(448\) | − | 1.07838i | − | 0.0509486i | ||||||
\(449\) | 36.2290 | 1.70975 | 0.854876 | − | 0.518833i | \(-0.173633\pi\) | ||||
0.854876 | + | 0.518833i | \(0.173633\pi\) | |||||||
\(450\) | 2.34017 | + | 4.41855i | 0.110317 | + | 0.208292i | ||||
\(451\) | 48.1978 | 2.26955 | ||||||||
\(452\) | 13.2039i | 0.621061i | ||||||||
\(453\) | − | 23.1194i | − | 1.08624i | ||||||
\(454\) | 20.9939 | 0.985291 | ||||||||
\(455\) | 1.98771 | + | 8.00000i | 0.0931855 | + | 0.375046i | ||||
\(456\) | −1.00000 | −0.0468293 | ||||||||
\(457\) | 8.00000i | 0.374224i | 0.982339 | + | 0.187112i | \(0.0599128\pi\) | ||||
−0.982339 | + | 0.187112i | \(0.940087\pi\) | |||||||
\(458\) | 2.36683i | 0.110595i | ||||||||
\(459\) | 5.41855 | 0.252916 | ||||||||
\(460\) | −13.7587 | + | 3.41855i | −0.641504 | + | 0.159391i | ||||
\(461\) | 35.7464 | 1.66488 | 0.832439 | − | 0.554117i | \(-0.186944\pi\) | ||||
0.832439 | + | 0.554117i | \(0.186944\pi\) | |||||||
\(462\) | − | 6.83710i | − | 0.318091i | ||||||
\(463\) | − | 37.3295i | − | 1.73485i | −0.497569 | − | 0.867424i | \(-0.665774\pi\) | ||
0.497569 | − | 0.867424i | \(-0.334226\pi\) | |||||||
\(464\) | 0.340173 | 0.0157921 | ||||||||
\(465\) | 2.34017 | − | 0.581449i | 0.108523 | − | 0.0269641i | ||||
\(466\) | −5.10504 | −0.236486 | ||||||||
\(467\) | 12.0989i | 0.559870i | 0.960019 | + | 0.279935i | \(0.0903129\pi\) | ||||
−0.960019 | + | 0.279935i | \(0.909687\pi\) | |||||||
\(468\) | 3.41855i | 0.158023i | ||||||||
\(469\) | 3.05947 | 0.141273 | ||||||||
\(470\) | 3.41855 | + | 13.7587i | 0.157686 | + | 0.634643i | ||||
\(471\) | −9.73206 | −0.448430 | ||||||||
\(472\) | 0.738205i | 0.0339786i | ||||||||
\(473\) | − | 70.8659i | − | 3.25842i | ||||||
\(474\) | −1.07838 | −0.0495315 | ||||||||
\(475\) | 4.41855 | − | 2.34017i | 0.202737 | − | 0.107375i | ||||
\(476\) | 5.84324 | 0.267825 | ||||||||
\(477\) | − | 6.00000i | − | 0.274721i | ||||||
\(478\) | − | 10.4124i | − | 0.476252i | ||||||
\(479\) | 34.6102 | 1.58138 | 0.790690 | − | 0.612216i | \(-0.209722\pi\) | ||||
0.790690 | + | 0.612216i | \(0.209722\pi\) | |||||||
\(480\) | 0.539189 | + | 2.17009i | 0.0246105 | + | 0.0990504i | ||||
\(481\) | 11.6865 | 0.532858 | ||||||||
\(482\) | 3.36069i | 0.153075i | ||||||||
\(483\) | − | 6.83710i | − | 0.311099i | ||||||
\(484\) | −29.1978 | −1.32717 | ||||||||
\(485\) | 7.94214 | − | 1.97334i | 0.360634 | − | 0.0896047i | ||||
\(486\) | −1.00000 | −0.0453609 | ||||||||
\(487\) | − | 30.2823i | − | 1.37222i | −0.727497 | − | 0.686111i | \(-0.759316\pi\) | ||
0.727497 | − | 0.686111i | \(-0.240684\pi\) | |||||||
\(488\) | 2.68035i | 0.121334i | ||||||||
\(489\) | 6.49693 | 0.293801 | ||||||||
\(490\) | 12.6670 | − | 3.14730i | 0.572237 | − | 0.142181i | ||||
\(491\) | −27.0205 | −1.21942 | −0.609709 | − | 0.792625i | \(-0.708714\pi\) | ||||
−0.609709 | + | 0.792625i | \(0.708714\pi\) | |||||||
\(492\) | − | 7.60197i | − | 0.342723i | ||||||
\(493\) | 1.84324i | 0.0830156i | ||||||||
\(494\) | 3.41855 | 0.153808 | ||||||||
\(495\) | 3.41855 | + | 13.7587i | 0.153652 | + | 0.618409i | ||||
\(496\) | 1.07838 | 0.0484206 | ||||||||
\(497\) | − | 3.05947i | − | 0.137236i | ||||||
\(498\) | − | 0.894960i | − | 0.0401041i | ||||||
\(499\) | 35.0349 | 1.56838 | 0.784189 | − | 0.620522i | \(-0.213079\pi\) | ||||
0.784189 | + | 0.620522i | \(0.213079\pi\) | |||||||
\(500\) | −7.46081 | − | 8.32684i | −0.333658 | − | 0.372388i | ||||
\(501\) | 20.9939 | 0.937936 | ||||||||
\(502\) | 21.8576i | 0.975553i | ||||||||
\(503\) | − | 29.5441i | − | 1.31731i | −0.752447 | − | 0.658653i | \(-0.771126\pi\) | ||
0.752447 | − | 0.658653i | \(-0.228874\pi\) | |||||||
\(504\) | −1.07838 | −0.0480348 | ||||||||
\(505\) | −10.5692 | − | 42.5380i | −0.470322 | − | 1.89291i | ||||
\(506\) | −40.1978 | −1.78701 | ||||||||
\(507\) | 1.31351i | 0.0583351i | ||||||||
\(508\) | − | 0.921622i | − | 0.0408904i | ||||||
\(509\) | −29.2183 | −1.29508 | −0.647539 | − | 0.762032i | \(-0.724202\pi\) | ||||
−0.647539 | + | 0.762032i | \(0.724202\pi\) | |||||||
\(510\) | −11.7587 | + | 2.92162i | −0.520685 | + | 0.129372i | ||||
\(511\) | −7.37298 | −0.326161 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 1.00000i | 0.0441511i | ||||||||
\(514\) | −26.8781 | −1.18554 | ||||||||
\(515\) | −25.5174 | + | 6.34017i | −1.12443 | + | 0.279381i | ||||
\(516\) | −11.1773 | −0.492052 | ||||||||
\(517\) | 40.1978i | 1.76790i | ||||||||
\(518\) | 3.68649i | 0.161975i | ||||||||
\(519\) | 6.99386 | 0.306996 | ||||||||
\(520\) | −1.84324 | − | 7.41855i | −0.0808316 | − | 0.325325i | ||||
\(521\) | −16.3980 | −0.718411 | −0.359205 | − | 0.933259i | \(-0.616952\pi\) | ||||
−0.359205 | + | 0.933259i | \(0.616952\pi\) | |||||||
\(522\) | − | 0.340173i | − | 0.0148890i | ||||||
\(523\) | − | 13.8432i | − | 0.605323i | −0.953098 | − | 0.302661i | \(-0.902125\pi\) | ||
0.953098 | − | 0.302661i | \(-0.0978751\pi\) | |||||||
\(524\) | −10.6537 | −0.465408 | ||||||||
\(525\) | 4.76487 | − | 2.52359i | 0.207956 | − | 0.110139i | ||||
\(526\) | −22.3402 | −0.974078 | ||||||||
\(527\) | 5.84324i | 0.254536i | ||||||||
\(528\) | 6.34017i | 0.275921i | ||||||||
\(529\) | −17.1978 | −0.747730 | ||||||||
\(530\) | 3.23513 | + | 13.0205i | 0.140525 | + | 0.565575i | ||||
\(531\) | 0.738205 | 0.0320354 | ||||||||
\(532\) | 1.07838i | 0.0467536i | ||||||||
\(533\) | 25.9877i | 1.12565i | ||||||||
\(534\) | 6.92162 | 0.299528 | ||||||||
\(535\) | −13.3607 | + | 3.31965i | −0.577633 | + | 0.143521i | ||||
\(536\) | −2.83710 | −0.122544 | ||||||||
\(537\) | 4.73820i | 0.204469i | ||||||||
\(538\) | 17.3340i | 0.747323i | ||||||||
\(539\) | 37.0082 | 1.59406 | ||||||||
\(540\) | 2.17009 | − | 0.539189i | 0.0933857 | − | 0.0232030i | ||||
\(541\) | −5.20394 | −0.223735 | −0.111867 | − | 0.993723i | \(-0.535683\pi\) | ||||
−0.111867 | + | 0.993723i | \(0.535683\pi\) | |||||||
\(542\) | − | 13.3607i | − | 0.573891i | ||||||
\(543\) | − | 12.0722i | − | 0.518069i | ||||||
\(544\) | −5.41855 | −0.232318 | ||||||||
\(545\) | 9.65983 | + | 38.8781i | 0.413782 | + | 1.66536i | ||||
\(546\) | 3.68649 | 0.157767 | ||||||||
\(547\) | − | 19.8843i | − | 0.850191i | −0.905149 | − | 0.425095i | \(-0.860241\pi\) | ||
0.905149 | − | 0.425095i | \(-0.139759\pi\) | |||||||
\(548\) | 20.6225i | 0.880949i | ||||||||
\(549\) | 2.68035 | 0.114394 | ||||||||
\(550\) | −14.8371 | − | 28.0144i | −0.632656 | − | 1.19454i | ||||
\(551\) | −0.340173 | −0.0144919 | ||||||||
\(552\) | 6.34017i | 0.269856i | ||||||||
\(553\) | 1.16290i | 0.0494515i | ||||||||
\(554\) | 0.738205 | 0.0313633 | ||||||||
\(555\) | −1.84324 | − | 7.41855i | −0.0782414 | − | 0.314900i | ||||
\(556\) | 18.8371 | 0.798871 | ||||||||
\(557\) | − | 17.0205i | − | 0.721183i | −0.932724 | − | 0.360591i | \(-0.882575\pi\) | ||
0.932724 | − | 0.360591i | \(-0.117425\pi\) | |||||||
\(558\) | − | 1.07838i | − | 0.0456514i | ||||||
\(559\) | 38.2101 | 1.61611 | ||||||||
\(560\) | 2.34017 | − | 0.581449i | 0.0988904 | − | 0.0245707i | ||||
\(561\) | −34.3545 | −1.45045 | ||||||||
\(562\) | − | 31.7998i | − | 1.34139i | ||||||
\(563\) | 12.6270i | 0.532166i | 0.963950 | + | 0.266083i | \(0.0857294\pi\) | ||||
−0.963950 | + | 0.266083i | \(0.914271\pi\) | |||||||
\(564\) | 6.34017 | 0.266969 | ||||||||
\(565\) | −28.6537 | + | 7.11942i | −1.20547 | + | 0.299516i | ||||
\(566\) | 4.70701 | 0.197850 | ||||||||
\(567\) | 1.07838i | 0.0452876i | ||||||||
\(568\) | 2.83710i | 0.119042i | ||||||||
\(569\) | 31.9155 | 1.33797 | 0.668983 | − | 0.743277i | \(-0.266730\pi\) | ||||
0.668983 | + | 0.743277i | \(0.266730\pi\) | |||||||
\(570\) | −0.539189 | − | 2.17009i | −0.0225841 | − | 0.0908949i | ||||
\(571\) | 24.5113 | 1.02577 | 0.512883 | − | 0.858458i | \(-0.328577\pi\) | ||||
0.512883 | + | 0.858458i | \(0.328577\pi\) | |||||||
\(572\) | − | 21.6742i | − | 0.906244i | ||||||
\(573\) | − | 7.26180i | − | 0.303366i | ||||||
\(574\) | −8.19779 | −0.342169 | ||||||||
\(575\) | −14.8371 | − | 28.0144i | −0.618750 | − | 1.16828i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 32.0000i | 1.33218i | 0.745873 | + | 0.666089i | \(0.232033\pi\) | ||||
−0.745873 | + | 0.666089i | \(0.767967\pi\) | |||||||
\(578\) | − | 12.3607i | − | 0.514137i | ||||||
\(579\) | 18.8638 | 0.783951 | ||||||||
\(580\) | 0.183417 | + | 0.738205i | 0.00761600 | + | 0.0306523i | ||||
\(581\) | −0.965105 | −0.0400393 | ||||||||
\(582\) | − | 3.65983i | − | 0.151705i | ||||||
\(583\) | 38.0410i | 1.57550i | ||||||||
\(584\) | 6.83710 | 0.282921 | ||||||||
\(585\) | −7.41855 | + | 1.84324i | −0.306719 | + | 0.0762088i | ||||
\(586\) | −26.1978 | −1.08222 | ||||||||
\(587\) | 8.58145i | 0.354194i | 0.984193 | + | 0.177097i | \(0.0566707\pi\) | ||||
−0.984193 | + | 0.177097i | \(0.943329\pi\) | |||||||
\(588\) | − | 5.83710i | − | 0.240718i | ||||||
\(589\) | −1.07838 | −0.0444338 | ||||||||
\(590\) | −1.60197 | + | 0.398032i | −0.0659520 | + | 0.0163867i | ||||
\(591\) | 17.7009 | 0.728116 | ||||||||
\(592\) | − | 3.41855i | − | 0.140502i | ||||||
\(593\) | − | 10.7792i | − | 0.442650i | −0.975200 | − | 0.221325i | \(-0.928962\pi\) | ||
0.975200 | − | 0.221325i | \(-0.0710382\pi\) | |||||||
\(594\) | 6.34017 | 0.260140 | ||||||||
\(595\) | 3.15061 | + | 12.6803i | 0.129163 | + | 0.519844i | ||||
\(596\) | −5.44521 | −0.223045 | ||||||||
\(597\) | 0.313511i | 0.0128312i | ||||||||
\(598\) | − | 21.6742i | − | 0.886324i | ||||||
\(599\) | 18.2101 | 0.744044 | 0.372022 | − | 0.928224i | \(-0.378665\pi\) | ||||
0.372022 | + | 0.928224i | \(0.378665\pi\) | |||||||
\(600\) | −4.41855 | + | 2.34017i | −0.180387 | + | 0.0955372i | ||||
\(601\) | −32.0410 | −1.30698 | −0.653491 | − | 0.756935i | \(-0.726696\pi\) | ||||
−0.653491 | + | 0.756935i | \(0.726696\pi\) | |||||||
\(602\) | 12.0533i | 0.491257i | ||||||||
\(603\) | 2.83710i | 0.115536i | ||||||||
\(604\) | 23.1194 | 0.940716 | ||||||||
\(605\) | −15.7431 | − | 63.3617i | −0.640049 | − | 2.57602i | ||||
\(606\) | −19.6020 | −0.796276 | ||||||||
\(607\) | − | 11.5609i | − | 0.469244i | −0.972087 | − | 0.234622i | \(-0.924615\pi\) | ||
0.972087 | − | 0.234622i | \(-0.0753852\pi\) | |||||||
\(608\) | − | 1.00000i | − | 0.0405554i | ||||||
\(609\) | −0.366835 | −0.0148649 | ||||||||
\(610\) | −5.81658 | + | 1.44521i | −0.235507 | + | 0.0585150i | ||||
\(611\) | −21.6742 | −0.876844 | ||||||||
\(612\) | 5.41855i | 0.219032i | ||||||||
\(613\) | − | 2.58145i | − | 0.104264i | −0.998640 | − | 0.0521319i | \(-0.983398\pi\) | ||
0.998640 | − | 0.0521319i | \(-0.0166016\pi\) | |||||||
\(614\) | 32.1978 | 1.29940 | ||||||||
\(615\) | 16.4969 | − | 4.09890i | 0.665220 | − | 0.165283i | ||||
\(616\) | 6.83710 | 0.275475 | ||||||||
\(617\) | 9.90110i | 0.398603i | 0.979938 | + | 0.199302i | \(0.0638674\pi\) | ||||
−0.979938 | + | 0.199302i | \(0.936133\pi\) | |||||||
\(618\) | 11.7587i | 0.473005i | ||||||||
\(619\) | −11.2039 | −0.450324 | −0.225162 | − | 0.974321i | \(-0.572291\pi\) | ||||
−0.225162 | + | 0.974321i | \(0.572291\pi\) | |||||||
\(620\) | 0.581449 | + | 2.34017i | 0.0233516 | + | 0.0939836i | ||||
\(621\) | 6.34017 | 0.254422 | ||||||||
\(622\) | 16.7382i | 0.671141i | ||||||||
\(623\) | − | 7.46412i | − | 0.299044i | ||||||
\(624\) | −3.41855 | −0.136852 | ||||||||
\(625\) | 14.0472 | − | 20.6803i | 0.561887 | − | 0.827214i | ||||
\(626\) | 14.1568 | 0.565818 | ||||||||
\(627\) | − | 6.34017i | − | 0.253202i | ||||||
\(628\) | − | 9.73206i | − | 0.388352i | ||||||
\(629\) | 18.5236 | 0.738584 | ||||||||
\(630\) | −0.581449 | − | 2.34017i | −0.0231655 | − | 0.0932347i | ||||
\(631\) | −23.3197 | −0.928341 | −0.464170 | − | 0.885746i | \(-0.653647\pi\) | ||||
−0.464170 | + | 0.885746i | \(0.653647\pi\) | |||||||
\(632\) | − | 1.07838i | − | 0.0428956i | ||||||
\(633\) | 14.8371i | 0.589722i | ||||||||
\(634\) | −21.8843 | −0.869136 | ||||||||
\(635\) | 2.00000 | − | 0.496928i | 0.0793676 | − | 0.0197200i | ||||
\(636\) | 6.00000 | 0.237915 | ||||||||
\(637\) | 19.9544i | 0.790623i | ||||||||
\(638\) | 2.15676i | 0.0853868i | ||||||||
\(639\) | 2.83710 | 0.112234 | ||||||||
\(640\) | −2.17009 | + | 0.539189i | −0.0857802 | + | 0.0213133i | ||||
\(641\) | −19.2885 | −0.761848 | −0.380924 | − | 0.924606i | \(-0.624394\pi\) | ||||
−0.380924 | + | 0.924606i | \(0.624394\pi\) | |||||||
\(642\) | 6.15676i | 0.242988i | ||||||||
\(643\) | 31.3751i | 1.23731i | 0.785662 | + | 0.618656i | \(0.212323\pi\) | ||||
−0.785662 | + | 0.618656i | \(0.787677\pi\) | |||||||
\(644\) | 6.83710 | 0.269420 | ||||||||
\(645\) | −6.02666 | − | 24.2557i | −0.237300 | − | 0.955065i | ||||
\(646\) | 5.41855 | 0.213190 | ||||||||
\(647\) | − | 33.2306i | − | 1.30643i | −0.757173 | − | 0.653215i | \(-0.773420\pi\) | ||
0.757173 | − | 0.653215i | \(-0.226580\pi\) | |||||||
\(648\) | − | 1.00000i | − | 0.0392837i | ||||||
\(649\) | −4.68035 | −0.183720 | ||||||||
\(650\) | 15.1050 | − | 8.00000i | 0.592468 | − | 0.313786i | ||||
\(651\) | −1.16290 | −0.0455776 | ||||||||
\(652\) | 6.49693i | 0.254439i | ||||||||
\(653\) | 7.85762i | 0.307492i | 0.988110 | + | 0.153746i | \(0.0491338\pi\) | ||||
−0.988110 | + | 0.153746i | \(0.950866\pi\) | |||||||
\(654\) | 17.9155 | 0.700551 | ||||||||
\(655\) | −5.74435 | − | 23.1194i | −0.224450 | − | 0.903350i | ||||
\(656\) | 7.60197 | 0.296807 | ||||||||
\(657\) | − | 6.83710i | − | 0.266741i | ||||||
\(658\) | − | 6.83710i | − | 0.266538i | ||||||
\(659\) | 25.4186 | 0.990166 | 0.495083 | − | 0.868846i | \(-0.335138\pi\) | ||||
0.495083 | + | 0.868846i | \(0.335138\pi\) | |||||||
\(660\) | −13.7587 | + | 3.41855i | −0.535558 | + | 0.133067i | ||||
\(661\) | 30.9093 | 1.20223 | 0.601117 | − | 0.799161i | \(-0.294723\pi\) | ||||
0.601117 | + | 0.799161i | \(0.294723\pi\) | |||||||
\(662\) | − | 26.1568i | − | 1.01661i | ||||||
\(663\) | − | 18.5236i | − | 0.719397i | ||||||
\(664\) | 0.894960 | 0.0347312 | ||||||||
\(665\) | −2.34017 | + | 0.581449i | −0.0907480 | + | 0.0225476i | ||||
\(666\) | −3.41855 | −0.132466 | ||||||||
\(667\) | 2.15676i | 0.0835099i | ||||||||
\(668\) | 20.9939i | 0.812277i | ||||||||
\(669\) | −1.28846 | −0.0498146 | ||||||||
\(670\) | −1.52973 | − | 6.15676i | −0.0590988 | − | 0.237856i | ||||
\(671\) | −16.9939 | −0.656041 | ||||||||
\(672\) | − | 1.07838i | − | 0.0415993i | ||||||
\(673\) | − | 27.9733i | − | 1.07829i | −0.842212 | − | 0.539146i | \(-0.818747\pi\) | ||
0.842212 | − | 0.539146i | \(-0.181253\pi\) | |||||||
\(674\) | −29.7009 | −1.14403 | ||||||||
\(675\) | 2.34017 | + | 4.41855i | 0.0900733 | + | 0.170070i | ||||
\(676\) | −1.31351 | −0.0505197 | ||||||||
\(677\) | 4.15676i | 0.159757i | 0.996805 | + | 0.0798785i | \(0.0254532\pi\) | ||||
−0.996805 | + | 0.0798785i | \(0.974547\pi\) | |||||||
\(678\) | 13.2039i | 0.507094i | ||||||||
\(679\) | −3.94668 | −0.151460 | ||||||||
\(680\) | −2.92162 | − | 11.7587i | −0.112039 | − | 0.450926i | ||||
\(681\) | 20.9939 | 0.804486 | ||||||||
\(682\) | 6.83710i | 0.261806i | ||||||||
\(683\) | − | 19.5708i | − | 0.748855i | −0.927256 | − | 0.374427i | \(-0.877839\pi\) | ||
0.927256 | − | 0.374427i | \(-0.122161\pi\) | |||||||
\(684\) | −1.00000 | −0.0382360 | ||||||||
\(685\) | −44.7526 | + | 11.1194i | −1.70991 | + | 0.424851i | ||||
\(686\) | −13.8432 | −0.528538 | ||||||||
\(687\) | 2.36683i | 0.0903004i | ||||||||
\(688\) | − | 11.1773i | − | 0.426130i | ||||||
\(689\) | −20.5113 | −0.781418 | ||||||||
\(690\) | −13.7587 | + | 3.41855i | −0.523786 | + | 0.130142i | ||||
\(691\) | −10.8371 | −0.412263 | −0.206131 | − | 0.978524i | \(-0.566087\pi\) | ||||
−0.206131 | + | 0.978524i | \(0.566087\pi\) | |||||||
\(692\) | 6.99386i | 0.265867i | ||||||||
\(693\) | − | 6.83710i | − | 0.259720i | ||||||
\(694\) | 23.4186 | 0.888956 | ||||||||
\(695\) | 10.1568 | + | 40.8781i | 0.385268 | + | 1.55060i | ||||
\(696\) | 0.340173 | 0.0128942 | ||||||||
\(697\) | 41.1917i | 1.56025i | ||||||||
\(698\) | − | 6.48255i | − | 0.245368i | ||||||
\(699\) | −5.10504 | −0.193090 | ||||||||
\(700\) | 2.52359 | + | 4.76487i | 0.0953828 | + | 0.180095i | ||||
\(701\) | −42.0098 | −1.58669 | −0.793345 | − | 0.608772i | \(-0.791662\pi\) | ||||
−0.793345 | + | 0.608772i | \(0.791662\pi\) | |||||||
\(702\) | 3.41855i | 0.129025i | ||||||||
\(703\) | 3.41855i | 0.128933i | ||||||||
\(704\) | −6.34017 | −0.238954 | ||||||||
\(705\) | 3.41855 | + | 13.7587i | 0.128750 | + | 0.518184i | ||||
\(706\) | −2.58145 | −0.0971541 | ||||||||
\(707\) | 21.1383i | 0.794989i | ||||||||
\(708\) | 0.738205i | 0.0277434i | ||||||||
\(709\) | −23.6209 | −0.887101 | −0.443550 | − | 0.896249i | \(-0.646281\pi\) | ||||
−0.443550 | + | 0.896249i | \(0.646281\pi\) | |||||||
\(710\) | −6.15676 | + | 1.52973i | −0.231059 | + | 0.0574099i | ||||
\(711\) | −1.07838 | −0.0404423 | ||||||||
\(712\) | 6.92162i | 0.259399i | ||||||||
\(713\) | 6.83710i | 0.256051i | ||||||||
\(714\) | 5.84324 | 0.218678 | ||||||||
\(715\) | 47.0349 | − | 11.6865i | 1.75901 | − | 0.437050i | ||||
\(716\) | −4.73820 | −0.177075 | ||||||||
\(717\) | − | 10.4124i | − | 0.388858i | ||||||
\(718\) | − | 28.1399i | − | 1.05017i | ||||||
\(719\) | −30.9770 | −1.15525 | −0.577624 | − | 0.816303i | \(-0.696020\pi\) | ||||
−0.577624 | + | 0.816303i | \(0.696020\pi\) | |||||||
\(720\) | 0.539189 | + | 2.17009i | 0.0200944 | + | 0.0808743i | ||||
\(721\) | 12.6803 | 0.472241 | ||||||||
\(722\) | 1.00000i | 0.0372161i | ||||||||
\(723\) | 3.36069i | 0.124985i | ||||||||
\(724\) | 12.0722 | 0.448661 | ||||||||
\(725\) | −1.50307 | + | 0.796064i | −0.0558227 | + | 0.0295651i | ||||
\(726\) | −29.1978 | −1.08363 | ||||||||
\(727\) | − | 23.7464i | − | 0.880707i | −0.897825 | − | 0.440353i | \(-0.854853\pi\) | ||
0.897825 | − | 0.440353i | \(-0.145147\pi\) | |||||||
\(728\) | 3.68649i | 0.136630i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 3.68649 | + | 14.8371i | 0.136443 | + | 0.549146i | ||||
\(731\) | 60.5646 | 2.24006 | ||||||||
\(732\) | 2.68035i | 0.0990684i | ||||||||
\(733\) | 41.9832i | 1.55068i | 0.631542 | + | 0.775342i | \(0.282423\pi\) | ||||
−0.631542 | + | 0.775342i | \(0.717577\pi\) | |||||||
\(734\) | 10.5548 | 0.389584 | ||||||||
\(735\) | 12.6670 | − | 3.14730i | 0.467230 | − | 0.116090i | ||||
\(736\) | −6.34017 | −0.233702 | ||||||||
\(737\) | − | 17.9877i | − | 0.662586i | ||||||
\(738\) | − | 7.60197i | − | 0.279832i | ||||||
\(739\) | 41.3074 | 1.51952 | 0.759758 | − | 0.650206i | \(-0.225317\pi\) | ||||
0.759758 | + | 0.650206i | \(0.225317\pi\) | |||||||
\(740\) | 7.41855 | − | 1.84324i | 0.272711 | − | 0.0677590i | ||||
\(741\) | 3.41855 | 0.125584 | ||||||||
\(742\) | − | 6.47027i | − | 0.237531i | ||||||
\(743\) | 28.3668i | 1.04068i | 0.853960 | + | 0.520339i | \(0.174194\pi\) | ||||
−0.853960 | + | 0.520339i | \(0.825806\pi\) | |||||||
\(744\) | 1.07838 | 0.0395352 | ||||||||
\(745\) | −2.93600 | − | 11.8166i | −0.107567 | − | 0.432926i | ||||
\(746\) | −17.8888 | −0.654956 | ||||||||
\(747\) | − | 0.894960i | − | 0.0327449i | ||||||
\(748\) | − | 34.3545i | − | 1.25613i | ||||||
\(749\) | 6.63931 | 0.242595 | ||||||||
\(750\) | −7.46081 | − | 8.32684i | −0.272430 | − | 0.304053i | ||||
\(751\) | 5.75872 | 0.210139 | 0.105069 | − | 0.994465i | \(-0.466494\pi\) | ||||
0.105069 | + | 0.994465i | \(0.466494\pi\) | |||||||
\(752\) | 6.34017i | 0.231202i | ||||||||
\(753\) | 21.8576i | 0.796536i | ||||||||
\(754\) | −1.16290 | −0.0423503 | ||||||||
\(755\) | 12.4657 | + | 50.1711i | 0.453674 | + | 1.82591i | ||||
\(756\) | −1.07838 | −0.0392202 | ||||||||
\(757\) | 32.3090i | 1.17429i | 0.809482 | + | 0.587145i | \(0.199748\pi\) | ||||
−0.809482 | + | 0.587145i | \(0.800252\pi\) | |||||||
\(758\) | − | 4.36683i | − | 0.158611i | ||||||
\(759\) | −40.1978 | −1.45909 | ||||||||
\(760\) | 2.17009 | − | 0.539189i | 0.0787173 | − | 0.0195584i | ||||
\(761\) | 33.5708 | 1.21694 | 0.608470 | − | 0.793577i | \(-0.291784\pi\) | ||||
0.608470 | + | 0.793577i | \(0.291784\pi\) | |||||||
\(762\) | − | 0.921622i | − | 0.0333869i | ||||||
\(763\) | − | 19.3197i | − | 0.699418i | ||||||
\(764\) | 7.26180 | 0.262723 | ||||||||
\(765\) | −11.7587 | + | 2.92162i | −0.425138 | + | 0.105631i | ||||
\(766\) | −22.5236 | −0.813810 | ||||||||
\(767\) | − | 2.52359i | − | 0.0911216i | ||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 17.8843 | 0.644924 | 0.322462 | − | 0.946582i | \(-0.395490\pi\) | ||||
0.322462 | + | 0.946582i | \(0.395490\pi\) | |||||||
\(770\) | 3.68649 | + | 14.8371i | 0.132852 | + | 0.534692i | ||||
\(771\) | −26.8781 | −0.967993 | ||||||||
\(772\) | 18.8638i | 0.678922i | ||||||||
\(773\) | − | 46.5113i | − | 1.67290i | −0.548047 | − | 0.836448i | \(-0.684628\pi\) | ||
0.548047 | − | 0.836448i | \(-0.315372\pi\) | |||||||
\(774\) | −11.1773 | −0.401759 | ||||||||
\(775\) | −4.76487 | + | 2.52359i | −0.171159 | + | 0.0906500i | ||||
\(776\) | 3.65983 | 0.131380 | ||||||||
\(777\) | 3.68649i | 0.132252i | ||||||||
\(778\) | 9.07838i | 0.325476i | ||||||||
\(779\) | −7.60197 | −0.272369 | ||||||||
\(780\) | −1.84324 | − | 7.41855i | −0.0659987 | − | 0.265627i | ||||
\(781\) | −17.9877 | −0.643651 | ||||||||
\(782\) | − | 34.3545i | − | 1.22852i | ||||||
\(783\) | − | 0.340173i | − | 0.0121568i | ||||||
\(784\) | 5.83710 | 0.208468 | ||||||||
\(785\) | 21.1194 | − | 5.24742i | 0.753784 | − | 0.187288i | ||||
\(786\) | −10.6537 | −0.380004 | ||||||||
\(787\) | 41.9877i | 1.49670i | 0.663304 | + | 0.748350i | \(0.269154\pi\) | ||||
−0.663304 | + | 0.748350i | \(0.730846\pi\) | |||||||
\(788\) | 17.7009i | 0.630567i | ||||||||
\(789\) | −22.3402 | −0.795331 | ||||||||
\(790\) | 2.34017 | − | 0.581449i | 0.0832596 | − | 0.0206870i | ||||
\(791\) | 14.2388 | 0.506275 | ||||||||
\(792\) | 6.34017i | 0.225288i | ||||||||
\(793\) | − | 9.16290i | − | 0.325384i | ||||||
\(794\) | −3.74435 | −0.132882 | ||||||||
\(795\) | 3.23513 | + | 13.0205i | 0.114738 | + | 0.461790i | ||||
\(796\) | −0.313511 | −0.0111121 | ||||||||
\(797\) | 11.3074i | 0.400528i | 0.979742 | + | 0.200264i | \(0.0641799\pi\) | ||||
−0.979742 | + | 0.200264i | \(0.935820\pi\) | |||||||
\(798\) | 1.07838i | 0.0381742i | ||||||||
\(799\) | −34.3545 | −1.21538 | ||||||||
\(800\) | −2.34017 | − | 4.41855i | −0.0827376 | − | 0.156219i | ||||
\(801\) | 6.92162 | 0.244563 | ||||||||
\(802\) | − | 11.9155i | − | 0.420750i | ||||||
\(803\) | 43.3484i | 1.52973i | ||||||||
\(804\) | −2.83710 | −0.100057 | ||||||||
\(805\) | 3.68649 | + | 14.8371i | 0.129932 | + | 0.522939i | ||||
\(806\) | −3.68649 | −0.129851 | ||||||||
\(807\) | 17.3340i | 0.610187i | ||||||||
\(808\) | − | 19.6020i | − | 0.689595i | ||||||
\(809\) | 48.5523 | 1.70701 | 0.853505 | − | 0.521085i | \(-0.174473\pi\) | ||||
0.853505 | + | 0.521085i | \(0.174473\pi\) | |||||||
\(810\) | 2.17009 | − | 0.539189i | 0.0762491 | − | 0.0189452i | ||||
\(811\) | −1.42309 | −0.0499713 | −0.0249856 | − | 0.999688i | \(-0.507954\pi\) | ||||
−0.0249856 | + | 0.999688i | \(0.507954\pi\) | |||||||
\(812\) | − | 0.366835i | − | 0.0128734i | ||||||
\(813\) | − | 13.3607i | − | 0.468580i | ||||||
\(814\) | 21.6742 | 0.759680 | ||||||||
\(815\) | −14.0989 | + | 3.50307i | −0.493863 | + | 0.122707i | ||||
\(816\) | −5.41855 | −0.189687 | ||||||||
\(817\) | 11.1773i | 0.391043i | ||||||||
\(818\) | 2.99386i | 0.104678i | ||||||||
\(819\) | 3.68649 | 0.128816 | ||||||||
\(820\) | 4.09890 | + | 16.4969i | 0.143140 | + | 0.576098i | ||||
\(821\) | −6.55479 | −0.228764 | −0.114382 | − | 0.993437i | \(-0.536489\pi\) | ||||
−0.114382 | + | 0.993437i | \(0.536489\pi\) | |||||||
\(822\) | 20.6225i | 0.719292i | ||||||||
\(823\) | 0.0845208i | 0.00294621i | 0.999999 | + | 0.00147311i | \(0.000468904\pi\) | ||||
−0.999999 | + | 0.00147311i | \(0.999531\pi\) | |||||||
\(824\) | −11.7587 | −0.409635 | ||||||||
\(825\) | −14.8371 | − | 28.0144i | −0.516562 | − | 0.975335i | ||||
\(826\) | 0.796064 | 0.0276986 | ||||||||
\(827\) | 26.4703i | 0.920461i | 0.887799 | + | 0.460231i | \(0.152233\pi\) | ||||
−0.887799 | + | 0.460231i | \(0.847767\pi\) | |||||||
\(828\) | 6.34017i | 0.220336i | ||||||||
\(829\) | 12.4924 | 0.433879 | 0.216939 | − | 0.976185i | \(-0.430393\pi\) | ||||
0.216939 | + | 0.976185i | \(0.430393\pi\) | |||||||
\(830\) | 0.482553 | + | 1.94214i | 0.0167496 | + | 0.0674127i | ||||
\(831\) | 0.738205 | 0.0256080 | ||||||||
\(832\) | − | 3.41855i | − | 0.118517i | ||||||
\(833\) | 31.6286i | 1.09587i | ||||||||
\(834\) | 18.8371 | 0.652275 | ||||||||
\(835\) | −45.5585 | + | 11.3197i | −1.57662 | + | 0.391733i | ||||
\(836\) | 6.34017 | 0.219279 | ||||||||
\(837\) | − | 1.07838i | − | 0.0372742i | ||||||
\(838\) | 33.5441i | 1.15876i | ||||||||
\(839\) | 17.5297 | 0.605194 | 0.302597 | − | 0.953119i | \(-0.402146\pi\) | ||||
0.302597 | + | 0.953119i | \(0.402146\pi\) | |||||||
\(840\) | 2.34017 | − | 0.581449i | 0.0807436 | − | 0.0200619i | ||||
\(841\) | −28.8843 | −0.996010 | ||||||||
\(842\) | 31.5897i | 1.08865i | ||||||||
\(843\) | − | 31.7998i | − | 1.09524i | ||||||
\(844\) | −14.8371 | −0.510714 | ||||||||
\(845\) | −0.708231 | − | 2.85043i | −0.0243639 | − | 0.0980579i | ||||
\(846\) | 6.34017 | 0.217980 | ||||||||
\(847\) | 31.4863i | 1.08188i | ||||||||
\(848\) | 6.00000i | 0.206041i | ||||||||
\(849\) | 4.70701 | 0.161544 | ||||||||
\(850\) | 23.9421 | − | 12.6803i | 0.821209 | − | 0.434932i | ||||
\(851\) | 21.6742 | 0.742982 | ||||||||
\(852\) | 2.83710i | 0.0971975i | ||||||||
\(853\) | − | 22.0456i | − | 0.754826i | −0.926045 | − | 0.377413i | \(-0.876814\pi\) | ||
0.926045 | − | 0.377413i | \(-0.123186\pi\) | |||||||
\(854\) | 2.89043 | 0.0989083 | ||||||||
\(855\) | −0.539189 | − | 2.17009i | −0.0184399 | − | 0.0742154i | ||||
\(856\) | −6.15676 | −0.210434 | ||||||||
\(857\) | − | 13.1506i | − | 0.449216i | −0.974449 | − | 0.224608i | \(-0.927890\pi\) | ||
0.974449 | − | 0.224608i | \(-0.0721102\pi\) | |||||||
\(858\) | − | 21.6742i | − | 0.739945i | ||||||
\(859\) | −5.42309 | −0.185033 | −0.0925166 | − | 0.995711i | \(-0.529491\pi\) | ||||
−0.0925166 | + | 0.995711i | \(0.529491\pi\) | |||||||
\(860\) | 24.2557 | − | 6.02666i | 0.827111 | − | 0.205507i | ||||
\(861\) | −8.19779 | −0.279380 | ||||||||
\(862\) | − | 40.5113i | − | 1.37982i | ||||||
\(863\) | − | 28.6803i | − | 0.976290i | −0.872762 | − | 0.488145i | \(-0.837674\pi\) | ||
0.872762 | − | 0.488145i | \(-0.162326\pi\) | |||||||
\(864\) | 1.00000 | 0.0340207 | ||||||||
\(865\) | −15.1773 | + | 3.77101i | −0.516043 | + | 0.128218i | ||||
\(866\) | −5.13624 | −0.174536 | ||||||||
\(867\) | − | 12.3607i | − | 0.419791i | ||||||
\(868\) | − | 1.16290i | − | 0.0394713i | ||||||
\(869\) | 6.83710 | 0.231933 | ||||||||
\(870\) | 0.183417 | + | 0.738205i | 0.00621844 | + | 0.0250275i | ||||
\(871\) | 9.69878 | 0.328630 | ||||||||
\(872\) | 17.9155i | 0.606695i | ||||||||
\(873\) | − | 3.65983i | − | 0.123866i | ||||||
\(874\) | 6.34017 | 0.214460 | ||||||||
\(875\) | −8.97948 | + | 8.04557i | −0.303562 | + | 0.271990i | ||||
\(876\) | 6.83710 | 0.231004 | ||||||||
\(877\) | 24.4657i | 0.826149i | 0.910697 | + | 0.413075i | \(0.135545\pi\) | ||||
−0.910697 | + | 0.413075i | \(0.864455\pi\) | |||||||
\(878\) | 17.7054i | 0.597528i | ||||||||
\(879\) | −26.1978 | −0.883630 | ||||||||
\(880\) | −3.41855 | − | 13.7587i | −0.115239 | − | 0.463806i | ||||
\(881\) | 5.51745 | 0.185888 | 0.0929438 | − | 0.995671i | \(-0.470372\pi\) | ||||
0.0929438 | + | 0.995671i | \(0.470372\pi\) | |||||||
\(882\) | − | 5.83710i | − | 0.196545i | ||||||
\(883\) | − | 7.23060i | − | 0.243329i | −0.992571 | − | 0.121665i | \(-0.961177\pi\) | ||
0.992571 | − | 0.121665i | \(-0.0388232\pi\) | |||||||
\(884\) | 18.5236 | 0.623016 | ||||||||
\(885\) | −1.60197 | + | 0.398032i | −0.0538496 | + | 0.0133797i | ||||
\(886\) | −6.73820 | −0.226374 | ||||||||
\(887\) | − | 18.1568i | − | 0.609644i | −0.952409 | − | 0.304822i | \(-0.901403\pi\) | ||
0.952409 | − | 0.304822i | \(-0.0985970\pi\) | |||||||
\(888\) | − | 3.41855i | − | 0.114719i | ||||||
\(889\) | −0.993857 | −0.0333329 | ||||||||
\(890\) | −15.0205 | + | 3.73206i | −0.503489 | + | 0.125099i | ||||
\(891\) | 6.34017 | 0.212404 | ||||||||
\(892\) | − | 1.28846i | − | 0.0431407i | ||||||
\(893\) | − | 6.34017i | − | 0.212166i | ||||||
\(894\) | −5.44521 | −0.182115 | ||||||||
\(895\) | −2.55479 | − | 10.2823i | −0.0853971 | − | 0.343700i | ||||
\(896\) | 1.07838 | 0.0360261 | ||||||||
\(897\) | − | 21.6742i | − | 0.723681i | ||||||
\(898\) | 36.2290i | 1.20898i | ||||||||
\(899\) | 0.366835 | 0.0122346 | ||||||||
\(900\) | −4.41855 | + | 2.34017i | −0.147285 | + | 0.0780058i | ||||
\(901\) | −32.5113 | −1.08311 | ||||||||
\(902\) | 48.1978i | 1.60481i | ||||||||
\(903\) | 12.0533i | 0.401110i | ||||||||
\(904\) | −13.2039 | −0.439156 | ||||||||
\(905\) | 6.50921 | + | 26.1978i | 0.216374 | + | 0.870844i | ||||
\(906\) | 23.1194 | 0.768091 | ||||||||
\(907\) | 19.2039i | 0.637656i | 0.947813 | + | 0.318828i | \(0.103289\pi\) | ||||
−0.947813 | + | 0.318828i | \(0.896711\pi\) | |||||||
\(908\) | 20.9939i | 0.696706i | ||||||||
\(909\) | −19.6020 | −0.650156 | ||||||||
\(910\) | −8.00000 | + | 1.98771i | −0.265197 | + | 0.0658921i | ||||
\(911\) | 52.8781 | 1.75193 | 0.875965 | − | 0.482374i | \(-0.160225\pi\) | ||||
0.875965 | + | 0.482374i | \(0.160225\pi\) | |||||||
\(912\) | − | 1.00000i | − | 0.0331133i | ||||||
\(913\) | 5.67420i | 0.187789i | ||||||||
\(914\) | −8.00000 | −0.264616 | ||||||||
\(915\) | −5.81658 | + | 1.44521i | −0.192290 | + | 0.0477773i | ||||
\(916\) | −2.36683 | −0.0782024 | ||||||||
\(917\) | 11.4887i | 0.379390i | ||||||||
\(918\) | 5.41855i | 0.178839i | ||||||||
\(919\) | −10.0410 | −0.331223 | −0.165612 | − | 0.986191i | \(-0.552960\pi\) | ||||
−0.165612 | + | 0.986191i | \(0.552960\pi\) | |||||||
\(920\) | −3.41855 | − | 13.7587i | −0.112706 | − | 0.453612i | ||||
\(921\) | 32.1978 | 1.06095 | ||||||||
\(922\) | 35.7464i | 1.17725i | ||||||||
\(923\) | − | 9.69878i | − | 0.319239i | ||||||
\(924\) | 6.83710 | 0.224924 | ||||||||
\(925\) | 8.00000 | + | 15.1050i | 0.263038 | + | 0.496651i | ||||
\(926\) | 37.3295 | 1.22672 | ||||||||
\(927\) | 11.7587i | 0.386207i | ||||||||
\(928\) | 0.340173i | 0.0111667i | ||||||||
\(929\) | −11.3074 | −0.370983 | −0.185491 | − | 0.982646i | \(-0.559388\pi\) | ||||
−0.185491 | + | 0.982646i | \(0.559388\pi\) | |||||||
\(930\) | 0.581449 | + | 2.34017i | 0.0190665 | + | 0.0767373i | ||||
\(931\) | −5.83710 | −0.191303 | ||||||||
\(932\) | − | 5.10504i | − | 0.167221i | ||||||
\(933\) | 16.7382i | 0.547984i | ||||||||
\(934\) | −12.0989 | −0.395888 | ||||||||
\(935\) | 74.5523 | − | 18.5236i | 2.43812 | − | 0.605786i | ||||
\(936\) | −3.41855 | −0.111739 | ||||||||
\(937\) | 27.0349i | 0.883192i | 0.897214 | + | 0.441596i | \(0.145587\pi\) | ||||
−0.897214 | + | 0.441596i | \(0.854413\pi\) | |||||||
\(938\) | 3.05947i | 0.0998951i | ||||||||
\(939\) | 14.1568 | 0.461988 | ||||||||
\(940\) | −13.7587 | + | 3.41855i | −0.448760 | + | 0.111501i | ||||
\(941\) | −19.9733 | −0.651112 | −0.325556 | − | 0.945523i | \(-0.605551\pi\) | ||||
−0.325556 | + | 0.945523i | \(0.605551\pi\) | |||||||
\(942\) | − | 9.73206i | − | 0.317088i | ||||||
\(943\) | 48.1978i | 1.56954i | ||||||||
\(944\) | −0.738205 | −0.0240265 | ||||||||
\(945\) | −0.581449 | − | 2.34017i | −0.0189145 | − | 0.0761258i | ||||
\(946\) | 70.8659 | 2.30405 | ||||||||
\(947\) | − | 12.5281i | − | 0.407109i | −0.979064 | − | 0.203555i | \(-0.934751\pi\) | ||
0.979064 | − | 0.203555i | \(-0.0652495\pi\) | |||||||
\(948\) | − | 1.07838i | − | 0.0350241i | ||||||
\(949\) | −23.3730 | −0.758719 | ||||||||
\(950\) | 2.34017 | + | 4.41855i | 0.0759252 | + | 0.143357i | ||||
\(951\) | −21.8843 | −0.709646 | ||||||||
\(952\) | 5.84324i | 0.189381i | ||||||||
\(953\) | − | 46.5113i | − | 1.50665i | −0.657649 | − | 0.753324i | \(-0.728449\pi\) | ||
0.657649 | − | 0.753324i | \(-0.271551\pi\) | |||||||
\(954\) | 6.00000 | 0.194257 | ||||||||
\(955\) | 3.91548 | + | 15.7587i | 0.126702 | + | 0.509940i | ||||
\(956\) | 10.4124 | 0.336761 | ||||||||
\(957\) | 2.15676i | 0.0697180i | ||||||||
\(958\) | 34.6102i | 1.11820i | ||||||||
\(959\) | 22.2388 | 0.718129 | ||||||||
\(960\) | −2.17009 | + | 0.539189i | −0.0700392 | + | 0.0174022i | ||||
\(961\) | −29.8371 | −0.962487 | ||||||||
\(962\) | 11.6865i | 0.376788i | ||||||||
\(963\) | 6.15676i | 0.198399i | ||||||||
\(964\) | −3.36069 | −0.108241 | ||||||||
\(965\) | −40.9360 | + | 10.1711i | −1.31778 | + | 0.327420i | ||||
\(966\) | 6.83710 | 0.219980 | ||||||||
\(967\) | − | 37.2762i | − | 1.19872i | −0.800479 | − | 0.599360i | \(-0.795422\pi\) | ||
0.800479 | − | 0.599360i | \(-0.204578\pi\) | |||||||
\(968\) | − | 29.1978i | − | 0.938453i | ||||||
\(969\) | 5.41855 | 0.174069 | ||||||||
\(970\) | 1.97334 | + | 7.94214i | 0.0633601 | + | 0.255007i | ||||
\(971\) | −16.4534 | −0.528016 | −0.264008 | − | 0.964520i | \(-0.585045\pi\) | ||||
−0.264008 | + | 0.964520i | \(0.585045\pi\) | |||||||
\(972\) | − | 1.00000i | − | 0.0320750i | ||||||
\(973\) | − | 20.3135i | − | 0.651221i | ||||||
\(974\) | 30.2823 | 0.970308 | ||||||||
\(975\) | 15.1050 | − | 8.00000i | 0.483748 | − | 0.256205i | ||||
\(976\) | −2.68035 | −0.0857958 | ||||||||
\(977\) | 34.5646i | 1.10582i | 0.833241 | + | 0.552910i | \(0.186483\pi\) | ||||
−0.833241 | + | 0.552910i | \(0.813517\pi\) | |||||||
\(978\) | 6.49693i | 0.207749i | ||||||||
\(979\) | −43.8843 | −1.40255 | ||||||||
\(980\) | 3.14730 | + | 12.6670i | 0.100537 | + | 0.404633i | ||||
\(981\) | 17.9155 | 0.571997 | ||||||||
\(982\) | − | 27.0205i | − | 0.862259i | ||||||
\(983\) | − | 40.1978i | − | 1.28211i | −0.767495 | − | 0.641055i | \(-0.778497\pi\) | ||
0.767495 | − | 0.641055i | \(-0.221503\pi\) | |||||||
\(984\) | 7.60197 | 0.242342 | ||||||||
\(985\) | −38.4124 | + | 9.54411i | −1.22392 | + | 0.304101i | ||||
\(986\) | −1.84324 | −0.0587009 | ||||||||
\(987\) | − | 6.83710i | − | 0.217627i | ||||||
\(988\) | 3.41855i | 0.108759i | ||||||||
\(989\) | 70.8659 | 2.25340 | ||||||||
\(990\) | −13.7587 | + | 3.41855i | −0.437281 | + | 0.108649i | ||||
\(991\) | −24.6491 | −0.783006 | −0.391503 | − | 0.920177i | \(-0.628045\pi\) | ||||
−0.391503 | + | 0.920177i | \(0.628045\pi\) | |||||||
\(992\) | 1.07838i | 0.0342385i | ||||||||
\(993\) | − | 26.1568i | − | 0.830060i | ||||||
\(994\) | 3.05947 | 0.0970404 | ||||||||
\(995\) | −0.169042 | − | 0.680346i | −0.00535898 | − | 0.0215684i | ||||
\(996\) | 0.894960 | 0.0283579 | ||||||||
\(997\) | − | 6.89496i | − | 0.218366i | −0.994022 | − | 0.109183i | \(-0.965177\pi\) | ||
0.994022 | − | 0.109183i | \(-0.0348234\pi\) | |||||||
\(998\) | 35.0349i | 1.10901i | ||||||||
\(999\) | −3.41855 | −0.108158 |
(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 | 570.2.d.c.229.5 | yes | 6 | |
3.2 | odd | 2 | 1710.2.d.f.1369.2 | 6 | |||
5.2 | odd | 4 | 2850.2.a.bl.1.2 | 3 | |||
5.3 | odd | 4 | 2850.2.a.bm.1.2 | 3 | |||
5.4 | even | 2 | inner | 570.2.d.c.229.2 | ✓ | 6 | |
15.2 | even | 4 | 8550.2.a.cq.1.2 | 3 | |||
15.8 | even | 4 | 8550.2.a.ce.1.2 | 3 | |||
15.14 | odd | 2 | 1710.2.d.f.1369.5 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.d.c.229.2 | ✓ | 6 | 5.4 | even | 2 | inner | |
570.2.d.c.229.5 | yes | 6 | 1.1 | even | 1 | trivial | |
1710.2.d.f.1369.2 | 6 | 3.2 | odd | 2 | |||
1710.2.d.f.1369.5 | 6 | 15.14 | odd | 2 | |||
2850.2.a.bl.1.2 | 3 | 5.2 | odd | 4 | |||
2850.2.a.bm.1.2 | 3 | 5.3 | odd | 4 | |||
8550.2.a.ce.1.2 | 3 | 15.8 | even | 4 | |||
8550.2.a.cq.1.2 | 3 | 15.2 | even | 4 |