Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(311,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.t (of order \(6\), degree \(2\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 551.2 | ||
Character | \(\chi\) | \(=\) | 630.551 |
Dual form | 630.2.t.c.311.2 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | −1.35238 | + | 1.08216i | −0.780797 | + | 0.624785i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | 0.630115 | − | 1.61337i | 0.257243 | − | 0.658655i | ||||
\(7\) | −1.80382 | − | 1.93552i | −0.681779 | − | 0.731558i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.657860 | − | 2.92698i | 0.219287 | − | 0.975660i | ||||
\(10\) | −0.866025 | + | 0.500000i | −0.273861 | + | 0.158114i | ||||
\(11\) | 0.781517i | 0.235636i | 0.993035 | + | 0.117818i | \(0.0375900\pi\) | ||||
−0.993035 | + | 0.117818i | \(0.962410\pi\) | |||||||
\(12\) | 0.260988 | + | 1.71227i | 0.0753408 | + | 0.494291i | ||||
\(13\) | −2.26905 | + | 1.31003i | −0.629320 | + | 0.363338i | −0.780489 | − | 0.625170i | \(-0.785030\pi\) |
0.151168 | + | 0.988508i | \(0.451696\pi\) | |||||||
\(14\) | 2.52991 | + | 0.774302i | 0.676148 | + | 0.206941i | ||||
\(15\) | −1.35238 | + | 1.08216i | −0.349183 | + | 0.279412i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.02795 | + | 5.24457i | 0.734386 | + | 1.27199i | 0.954992 | + | 0.296631i | \(0.0958632\pi\) |
−0.220606 | + | 0.975363i | \(0.570803\pi\) | |||||||
\(18\) | 0.893768 | + | 2.86377i | 0.210663 | + | 0.674997i | ||||
\(19\) | 6.09668 | + | 3.51992i | 1.39867 | + | 0.807525i | 0.994254 | − | 0.107048i | \(-0.0341397\pi\) |
0.404421 | + | 0.914573i | \(0.367473\pi\) | |||||||
\(20\) | 0.500000 | − | 0.866025i | 0.111803 | − | 0.193649i | ||||
\(21\) | 4.53399 | + | 0.665540i | 0.989398 | + | 0.145233i | ||||
\(22\) | −0.390758 | − | 0.676813i | −0.0833100 | − | 0.144297i | ||||
\(23\) | − | 4.60919i | − | 0.961083i | −0.876972 | − | 0.480542i | \(-0.840440\pi\) | ||
0.876972 | − | 0.480542i | \(-0.159560\pi\) | |||||||
\(24\) | −1.08216 | − | 1.35238i | −0.220895 | − | 0.276053i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 1.31003 | − | 2.26905i | 0.256919 | − | 0.444997i | ||||
\(27\) | 2.27779 | + | 4.67030i | 0.438360 | + | 0.898799i | ||||
\(28\) | −2.57812 | + | 0.594391i | −0.487219 | + | 0.112329i | ||||
\(29\) | 3.96237 | + | 2.28767i | 0.735793 | + | 0.424810i | 0.820538 | − | 0.571592i | \(-0.193674\pi\) |
−0.0847445 | + | 0.996403i | \(0.527007\pi\) | |||||||
\(30\) | 0.630115 | − | 1.61337i | 0.115043 | − | 0.294559i | ||||
\(31\) | −6.47842 | − | 3.74031i | −1.16356 | − | 0.671780i | −0.211404 | − | 0.977399i | \(-0.567803\pi\) |
−0.952154 | + | 0.305618i | \(0.901137\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | −0.845726 | − | 1.05691i | −0.147222 | − | 0.183984i | ||||
\(34\) | −5.24457 | − | 3.02795i | −0.899436 | − | 0.519289i | ||||
\(35\) | −1.80382 | − | 1.93552i | −0.304901 | − | 0.327163i | ||||
\(36\) | −2.20591 | − | 2.03321i | −0.367652 | − | 0.338869i | ||||
\(37\) | −5.42975 | + | 9.40460i | −0.892645 | + | 1.54611i | −0.0559531 | + | 0.998433i | \(0.517820\pi\) |
−0.836692 | + | 0.547673i | \(0.815514\pi\) | |||||||
\(38\) | −7.03984 | −1.14201 | ||||||||
\(39\) | 1.65094 | − | 4.22714i | 0.264363 | − | 0.676883i | ||||
\(40\) | 1.00000i | 0.158114i | ||||||||
\(41\) | 5.46910 | + | 9.47275i | 0.854129 | + | 1.47940i | 0.877450 | + | 0.479667i | \(0.159243\pi\) |
−0.0233211 | + | 0.999728i | \(0.507424\pi\) | |||||||
\(42\) | −4.25932 | + | 1.69062i | −0.657227 | + | 0.260868i | ||||
\(43\) | −4.45098 | + | 7.70932i | −0.678768 | + | 1.17566i | 0.296585 | + | 0.955007i | \(0.404152\pi\) |
−0.975352 | + | 0.220654i | \(0.929181\pi\) | |||||||
\(44\) | 0.676813 | + | 0.390758i | 0.102033 | + | 0.0589090i | ||||
\(45\) | 0.657860 | − | 2.92698i | 0.0980679 | − | 0.436329i | ||||
\(46\) | 2.30460 | + | 3.99168i | 0.339794 | + | 0.588541i | ||||
\(47\) | 0.501266 | + | 0.868218i | 0.0731172 | + | 0.126643i | 0.900266 | − | 0.435340i | \(-0.143372\pi\) |
−0.827149 | + | 0.561983i | \(0.810039\pi\) | |||||||
\(48\) | 1.61337 | + | 0.630115i | 0.232870 | + | 0.0909492i | ||||
\(49\) | −0.492485 | + | 6.98265i | −0.0703549 | + | 0.997522i | ||||
\(50\) | −0.866025 | + | 0.500000i | −0.122474 | + | 0.0707107i | ||||
\(51\) | −9.77040 | − | 3.81592i | −1.36813 | − | 0.534335i | ||||
\(52\) | 2.62007i | 0.363338i | ||||||||
\(53\) | 8.30234 | − | 4.79336i | 1.14041 | − | 0.658418i | 0.193881 | − | 0.981025i | \(-0.437893\pi\) |
0.946533 | + | 0.322607i | \(0.104559\pi\) | |||||||
\(54\) | −4.30777 | − | 2.90570i | −0.586213 | − | 0.395416i | ||||
\(55\) | 0.781517i | 0.105380i | ||||||||
\(56\) | 1.93552 | − | 1.80382i | 0.258645 | − | 0.241045i | ||||
\(57\) | −12.0541 | + | 1.83732i | −1.59661 | + | 0.243359i | ||||
\(58\) | −4.57535 | −0.600773 | ||||||||
\(59\) | 1.32003 | − | 2.28635i | 0.171853 | − | 0.297658i | −0.767215 | − | 0.641390i | \(-0.778358\pi\) |
0.939068 | + | 0.343733i | \(0.111691\pi\) | |||||||
\(60\) | 0.260988 | + | 1.71227i | 0.0336935 | + | 0.221054i | ||||
\(61\) | 1.84617 | − | 1.06588i | 0.236377 | − | 0.136473i | −0.377133 | − | 0.926159i | \(-0.623090\pi\) |
0.613511 | + | 0.789686i | \(0.289757\pi\) | |||||||
\(62\) | 7.48063 | 0.950041 | ||||||||
\(63\) | −6.85189 | + | 4.00644i | −0.863257 | + | 0.504764i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −2.26905 | + | 1.31003i | −0.281441 | + | 0.162490i | ||||
\(66\) | 1.26087 | + | 0.492445i | 0.155203 | + | 0.0606158i | ||||
\(67\) | −6.02939 | + | 10.4432i | −0.736607 | + | 1.27584i | 0.217407 | + | 0.976081i | \(0.430240\pi\) |
−0.954015 | + | 0.299760i | \(0.903093\pi\) | |||||||
\(68\) | 6.05590 | 0.734386 | ||||||||
\(69\) | 4.98788 | + | 6.23338i | 0.600471 | + | 0.750410i | ||||
\(70\) | 2.52991 | + | 0.774302i | 0.302382 | + | 0.0925468i | ||||
\(71\) | 10.1200i | 1.20103i | 0.799614 | + | 0.600514i | \(0.205037\pi\) | ||||
−0.799614 | + | 0.600514i | \(0.794963\pi\) | |||||||
\(72\) | 2.92698 | + | 0.657860i | 0.344948 | + | 0.0775295i | ||||
\(73\) | 7.67003 | − | 4.42830i | 0.897710 | − | 0.518293i | 0.0212532 | − | 0.999774i | \(-0.493234\pi\) |
0.876456 | + | 0.481481i | \(0.159901\pi\) | |||||||
\(74\) | − | 10.8595i | − | 1.26239i | ||||||
\(75\) | −1.35238 | + | 1.08216i | −0.156159 | + | 0.124957i | ||||
\(76\) | 6.09668 | − | 3.51992i | 0.699337 | − | 0.403763i | ||||
\(77\) | 1.51264 | − | 1.40971i | 0.172382 | − | 0.160652i | ||||
\(78\) | 0.683808 | + | 4.48628i | 0.0774260 | + | 0.507971i | ||||
\(79\) | −7.96847 | − | 13.8018i | −0.896523 | − | 1.55282i | −0.831909 | − | 0.554912i | \(-0.812752\pi\) |
−0.0646137 | − | 0.997910i | \(-0.520582\pi\) | |||||||
\(80\) | −0.500000 | − | 0.866025i | −0.0559017 | − | 0.0968246i | ||||
\(81\) | −8.13444 | − | 3.85109i | −0.903827 | − | 0.427898i | ||||
\(82\) | −9.47275 | − | 5.46910i | −1.04609 | − | 0.603961i | ||||
\(83\) | −2.03248 | + | 3.52036i | −0.223094 | + | 0.386410i | −0.955746 | − | 0.294194i | \(-0.904949\pi\) |
0.732652 | + | 0.680603i | \(0.238282\pi\) | |||||||
\(84\) | 2.84337 | − | 3.59378i | 0.310237 | − | 0.392114i | ||||
\(85\) | 3.02795 | + | 5.24457i | 0.328428 | + | 0.568853i | ||||
\(86\) | − | 8.90195i | − | 0.959922i | ||||||
\(87\) | −7.83425 | + | 1.19411i | −0.839920 | + | 0.128022i | ||||
\(88\) | −0.781517 | −0.0833100 | ||||||||
\(89\) | −3.78927 | + | 6.56320i | −0.401662 | + | 0.695698i | −0.993927 | − | 0.110045i | \(-0.964901\pi\) |
0.592265 | + | 0.805743i | \(0.298234\pi\) | |||||||
\(90\) | 0.893768 | + | 2.86377i | 0.0942114 | + | 0.301868i | ||||
\(91\) | 6.62855 | + | 2.02872i | 0.694860 | + | 0.212668i | ||||
\(92\) | −3.99168 | − | 2.30460i | −0.416161 | − | 0.240271i | ||||
\(93\) | 12.8089 | − | 1.95236i | 1.32822 | − | 0.202450i | ||||
\(94\) | −0.868218 | − | 0.501266i | −0.0895499 | − | 0.0517017i | ||||
\(95\) | 6.09668 | + | 3.51992i | 0.625506 | + | 0.361136i | ||||
\(96\) | −1.71227 | + | 0.260988i | −0.174758 | + | 0.0266370i | ||||
\(97\) | 5.00436 | + | 2.88927i | 0.508115 | + | 0.293361i | 0.732059 | − | 0.681242i | \(-0.238560\pi\) |
−0.223943 | + | 0.974602i | \(0.571893\pi\) | |||||||
\(98\) | −3.06482 | − | 6.29340i | −0.309594 | − | 0.635729i | ||||
\(99\) | 2.28748 | + | 0.514128i | 0.229901 | + | 0.0516718i | ||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | 0.998784 | 0.0993827 | 0.0496914 | − | 0.998765i | \(-0.484176\pi\) | ||||
0.0496914 | + | 0.998765i | \(0.484176\pi\) | |||||||
\(102\) | 10.3694 | − | 1.58052i | 1.02672 | − | 0.156495i | ||||
\(103\) | − | 5.87358i | − | 0.578741i | −0.957217 | − | 0.289370i | \(-0.906554\pi\) | ||
0.957217 | − | 0.289370i | \(-0.0934459\pi\) | |||||||
\(104\) | −1.31003 | − | 2.26905i | −0.128459 | − | 0.222498i | ||||
\(105\) | 4.53399 | + | 0.665540i | 0.442472 | + | 0.0649500i | ||||
\(106\) | −4.79336 | + | 8.30234i | −0.465572 | + | 0.806394i | ||||
\(107\) | 4.22082 | + | 2.43689i | 0.408042 | + | 0.235583i | 0.689948 | − | 0.723859i | \(-0.257633\pi\) |
−0.281906 | + | 0.959442i | \(0.590967\pi\) | |||||||
\(108\) | 5.18349 | + | 0.362528i | 0.498782 | + | 0.0348843i | ||||
\(109\) | 0.338969 | + | 0.587111i | 0.0324673 | + | 0.0562350i | 0.881802 | − | 0.471619i | \(-0.156330\pi\) |
−0.849335 | + | 0.527854i | \(0.822997\pi\) | |||||||
\(110\) | −0.390758 | − | 0.676813i | −0.0372573 | − | 0.0645316i | ||||
\(111\) | −2.83420 | − | 18.5944i | −0.269011 | − | 1.76491i | ||||
\(112\) | −0.774302 | + | 2.52991i | −0.0731646 | + | 0.239054i | ||||
\(113\) | −2.66192 | + | 1.53686i | −0.250413 | + | 0.144576i | −0.619953 | − | 0.784639i | \(-0.712848\pi\) |
0.369541 | + | 0.929215i | \(0.379515\pi\) | |||||||
\(114\) | 9.52054 | − | 7.61824i | 0.891680 | − | 0.713513i | ||||
\(115\) | − | 4.60919i | − | 0.429809i | ||||||
\(116\) | 3.96237 | − | 2.28767i | 0.367897 | − | 0.212405i | ||||
\(117\) | 2.34173 | + | 7.50328i | 0.216493 | + | 0.693678i | ||||
\(118\) | 2.64005i | 0.243036i | ||||||||
\(119\) | 4.68910 | − | 15.3209i | 0.429849 | − | 1.40447i | ||||
\(120\) | −1.08216 | − | 1.35238i | −0.0987872 | − | 0.123455i | ||||
\(121\) | 10.3892 | 0.944476 | ||||||||
\(122\) | −1.06588 | + | 1.84617i | −0.0965006 | + | 0.167144i | ||||
\(123\) | −17.6473 | − | 6.89232i | −1.59121 | − | 0.621459i | ||||
\(124\) | −6.47842 | + | 3.74031i | −0.581779 | + | 0.335890i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 3.93069 | − | 6.89562i | 0.350174 | − | 0.614311i | ||||
\(127\) | −0.401239 | −0.0356042 | −0.0178021 | − | 0.999842i | \(-0.505667\pi\) | ||||
−0.0178021 | + | 0.999842i | \(0.505667\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −2.32331 | − | 15.2426i | −0.204556 | − | 1.34204i | ||||
\(130\) | 1.31003 | − | 2.26905i | 0.114898 | − | 0.199009i | ||||
\(131\) | 22.1595 | 1.93608 | 0.968042 | − | 0.250787i | \(-0.0806894\pi\) | ||||
0.968042 | + | 0.250787i | \(0.0806894\pi\) | |||||||
\(132\) | −1.33817 | + | 0.203967i | −0.116473 | + | 0.0177530i | ||||
\(133\) | −4.18442 | − | 18.1496i | −0.362835 | − | 1.57377i | ||||
\(134\) | − | 12.0588i | − | 1.04172i | ||||||
\(135\) | 2.27779 | + | 4.67030i | 0.196041 | + | 0.401955i | ||||
\(136\) | −5.24457 | + | 3.02795i | −0.449718 | + | 0.259645i | ||||
\(137\) | − | 19.2002i | − | 1.64039i | −0.572086 | − | 0.820194i | \(-0.693866\pi\) | ||
0.572086 | − | 0.820194i | \(-0.306134\pi\) | |||||||
\(138\) | −7.43632 | − | 2.90432i | −0.633022 | − | 0.247232i | ||||
\(139\) | −0.151908 | + | 0.0877042i | −0.0128847 | + | 0.00743897i | −0.506429 | − | 0.862282i | \(-0.669035\pi\) |
0.493544 | + | 0.869721i | \(0.335701\pi\) | |||||||
\(140\) | −2.57812 | + | 0.594391i | −0.217891 | + | 0.0502352i | ||||
\(141\) | −1.61745 | − | 0.631711i | −0.136214 | − | 0.0531996i | ||||
\(142\) | −5.06002 | − | 8.76422i | −0.424628 | − | 0.735477i | ||||
\(143\) | −1.02381 | − | 1.77330i | −0.0856156 | − | 0.148291i | ||||
\(144\) | −2.86377 | + | 0.893768i | −0.238648 | + | 0.0744806i | ||||
\(145\) | 3.96237 | + | 2.28767i | 0.329057 | + | 0.189981i | ||||
\(146\) | −4.42830 | + | 7.67003i | −0.366488 | + | 0.634777i | ||||
\(147\) | −6.89032 | − | 9.97614i | −0.568304 | − | 0.822818i | ||||
\(148\) | 5.42975 | + | 9.40460i | 0.446323 | + | 0.773053i | ||||
\(149\) | 1.23022i | 0.100784i | 0.998730 | + | 0.0503918i | \(0.0160470\pi\) | ||||
−0.998730 | + | 0.0503918i | \(0.983953\pi\) | |||||||
\(150\) | 0.630115 | − | 1.61337i | 0.0514487 | − | 0.131731i | ||||
\(151\) | 1.87265 | 0.152394 | 0.0761969 | − | 0.997093i | \(-0.475722\pi\) | ||||
0.0761969 | + | 0.997093i | \(0.475722\pi\) | |||||||
\(152\) | −3.51992 | + | 6.09668i | −0.285503 | + | 0.494506i | ||||
\(153\) | 17.3427 | − | 5.41257i | 1.40208 | − | 0.437580i | ||||
\(154\) | −0.605130 | + | 1.97717i | −0.0487627 | + | 0.159325i | ||||
\(155\) | −6.47842 | − | 3.74031i | −0.520359 | − | 0.300429i | ||||
\(156\) | −2.83533 | − | 3.54333i | −0.227008 | − | 0.283693i | ||||
\(157\) | 5.99822 | + | 3.46308i | 0.478710 | + | 0.276383i | 0.719879 | − | 0.694100i | \(-0.244197\pi\) |
−0.241169 | + | 0.970483i | \(0.577531\pi\) | |||||||
\(158\) | 13.8018 | + | 7.96847i | 1.09801 | + | 0.633937i | ||||
\(159\) | −6.04073 | + | 15.4669i | −0.479061 | + | 1.22660i | ||||
\(160\) | 0.866025 | + | 0.500000i | 0.0684653 | + | 0.0395285i | ||||
\(161\) | −8.92119 | + | 8.31414i | −0.703088 | + | 0.655246i | ||||
\(162\) | 8.97018 | − | 0.732082i | 0.704764 | − | 0.0575178i | ||||
\(163\) | 9.12797 | − | 15.8101i | 0.714958 | − | 1.23834i | −0.248018 | − | 0.968756i | \(-0.579779\pi\) |
0.962976 | − | 0.269588i | \(-0.0868876\pi\) | |||||||
\(164\) | 10.9382 | 0.854129 | ||||||||
\(165\) | −0.845726 | − | 1.05691i | −0.0658397 | − | 0.0822801i | ||||
\(166\) | − | 4.06496i | − | 0.315502i | ||||||
\(167\) | 10.7511 | + | 18.6214i | 0.831942 | + | 1.44097i | 0.896496 | + | 0.443051i | \(0.146104\pi\) |
−0.0645545 | + | 0.997914i | \(0.520563\pi\) | |||||||
\(168\) | −0.665540 | + | 4.53399i | −0.0513475 | + | 0.349805i | ||||
\(169\) | −3.06762 | + | 5.31327i | −0.235971 | + | 0.408713i | ||||
\(170\) | −5.24457 | − | 3.02795i | −0.402240 | − | 0.232233i | ||||
\(171\) | 14.3135 | − | 15.5293i | 1.09458 | − | 1.18755i | ||||
\(172\) | 4.45098 | + | 7.70932i | 0.339384 | + | 0.587830i | ||||
\(173\) | −3.31016 | − | 5.73336i | −0.251667 | − | 0.435900i | 0.712318 | − | 0.701857i | \(-0.247645\pi\) |
−0.963985 | + | 0.265957i | \(0.914312\pi\) | |||||||
\(174\) | 6.18761 | − | 4.95126i | 0.469081 | − | 0.375354i | ||||
\(175\) | −1.80382 | − | 1.93552i | −0.136356 | − | 0.146312i | ||||
\(176\) | 0.676813 | − | 0.390758i | 0.0510167 | − | 0.0294545i | ||||
\(177\) | 0.689023 | + | 4.52049i | 0.0517901 | + | 0.339781i | ||||
\(178\) | − | 7.57854i | − | 0.568035i | ||||||
\(179\) | −8.99427 | + | 5.19284i | −0.672263 | + | 0.388131i | −0.796934 | − | 0.604067i | \(-0.793546\pi\) |
0.124671 | + | 0.992198i | \(0.460213\pi\) | |||||||
\(180\) | −2.20591 | − | 2.03321i | −0.164419 | − | 0.151547i | ||||
\(181\) | 0.766824i | 0.0569975i | 0.999594 | + | 0.0284988i | \(0.00907267\pi\) | ||||
−0.999594 | + | 0.0284988i | \(0.990927\pi\) | |||||||
\(182\) | −6.75485 | + | 1.55735i | −0.500703 | + | 0.115438i | ||||
\(183\) | −1.34326 | + | 3.43933i | −0.0992966 | + | 0.254242i | ||||
\(184\) | 4.60919 | 0.339794 | ||||||||
\(185\) | −5.42975 | + | 9.40460i | −0.399203 | + | 0.691440i | ||||
\(186\) | −10.1166 | + | 8.09524i | −0.741789 | + | 0.593572i | ||||
\(187\) | −4.09872 | + | 2.36639i | −0.299728 | + | 0.173048i | ||||
\(188\) | 1.00253 | 0.0731172 | ||||||||
\(189\) | 4.93075 | − | 12.8331i | 0.358659 | − | 0.933469i | ||||
\(190\) | −7.03984 | −0.510724 | ||||||||
\(191\) | −11.7224 | + | 6.76794i | −0.848204 | + | 0.489711i | −0.860044 | − | 0.510219i | \(-0.829564\pi\) |
0.0118406 | + | 0.999930i | \(0.496231\pi\) | |||||||
\(192\) | 1.35238 | − | 1.08216i | 0.0975996 | − | 0.0780982i | ||||
\(193\) | 4.69750 | − | 8.13632i | 0.338134 | − | 0.585665i | −0.645948 | − | 0.763381i | \(-0.723538\pi\) |
0.984082 | + | 0.177717i | \(0.0568710\pi\) | |||||||
\(194\) | −5.77853 | −0.414874 | ||||||||
\(195\) | 1.65094 | − | 4.22714i | 0.118227 | − | 0.302711i | ||||
\(196\) | 5.80091 | + | 3.91783i | 0.414351 | + | 0.279845i | ||||
\(197\) | 12.0072i | 0.855480i | 0.903902 | + | 0.427740i | \(0.140690\pi\) | ||||
−0.903902 | + | 0.427740i | \(0.859310\pi\) | |||||||
\(198\) | −2.23808 | + | 0.698494i | −0.159054 | + | 0.0496398i | ||||
\(199\) | 3.77973 | − | 2.18223i | 0.267938 | − | 0.154694i | −0.360012 | − | 0.932948i | \(-0.617227\pi\) |
0.627950 | + | 0.778253i | \(0.283894\pi\) | |||||||
\(200\) | 1.00000i | 0.0707107i | ||||||||
\(201\) | −3.14720 | − | 20.6480i | −0.221987 | − | 1.45639i | ||||
\(202\) | −0.864973 | + | 0.499392i | −0.0608593 | + | 0.0351371i | ||||
\(203\) | −2.71955 | − | 11.7958i | −0.190875 | − | 0.827902i | ||||
\(204\) | −8.18988 | + | 6.55346i | −0.573406 | + | 0.458834i | ||||
\(205\) | 5.46910 | + | 9.47275i | 0.381978 | + | 0.661606i | ||||
\(206\) | 2.93679 | + | 5.08667i | 0.204616 | + | 0.354405i | ||||
\(207\) | −13.4910 | − | 3.03220i | −0.937691 | − | 0.210753i | ||||
\(208\) | 2.26905 | + | 1.31003i | 0.157330 | + | 0.0908346i | ||||
\(209\) | −2.75088 | + | 4.76466i | −0.190282 | + | 0.329578i | ||||
\(210\) | −4.25932 | + | 1.69062i | −0.293921 | + | 0.116664i | ||||
\(211\) | −5.82791 | − | 10.0942i | −0.401210 | − | 0.694916i | 0.592662 | − | 0.805451i | \(-0.298077\pi\) |
−0.993872 | + | 0.110535i | \(0.964744\pi\) | |||||||
\(212\) | − | 9.58671i | − | 0.658418i | ||||||
\(213\) | −10.9515 | − | 13.6861i | −0.750385 | − | 0.937759i | ||||
\(214\) | −4.87379 | −0.333165 | ||||||||
\(215\) | −4.45098 | + | 7.70932i | −0.303554 | + | 0.525771i | ||||
\(216\) | −4.67030 | + | 2.27779i | −0.317774 | + | 0.154984i | ||||
\(217\) | 4.44642 | + | 19.2860i | 0.301843 | + | 1.30922i | ||||
\(218\) | −0.587111 | − | 0.338969i | −0.0397642 | − | 0.0229579i | ||||
\(219\) | −5.58067 | + | 14.2889i | −0.377107 | + | 0.965557i | ||||
\(220\) | 0.676813 | + | 0.390758i | 0.0456307 | + | 0.0263449i | ||||
\(221\) | −13.7411 | − | 7.93344i | −0.924328 | − | 0.533661i | ||||
\(222\) | 11.7517 | + | 14.6862i | 0.788723 | + | 0.985671i | ||||
\(223\) | 8.63803 | + | 4.98717i | 0.578446 | + | 0.333966i | 0.760515 | − | 0.649320i | \(-0.224946\pi\) |
−0.182070 | + | 0.983286i | \(0.558280\pi\) | |||||||
\(224\) | −0.594391 | − | 2.57812i | −0.0397144 | − | 0.172258i | ||||
\(225\) | 0.657860 | − | 2.92698i | 0.0438573 | − | 0.195132i | ||||
\(226\) | 1.53686 | − | 2.66192i | 0.102231 | − | 0.177068i | ||||
\(227\) | 17.1596 | 1.13893 | 0.569463 | − | 0.822017i | \(-0.307151\pi\) | ||||
0.569463 | + | 0.822017i | \(0.307151\pi\) | |||||||
\(228\) | −4.43591 | + | 11.3579i | −0.293775 | + | 0.752192i | ||||
\(229\) | − | 12.8942i | − | 0.852070i | −0.904707 | − | 0.426035i | \(-0.859910\pi\) | ||
0.904707 | − | 0.426035i | \(-0.140090\pi\) | |||||||
\(230\) | 2.30460 | + | 3.99168i | 0.151961 | + | 0.263203i | ||||
\(231\) | −0.520130 | + | 3.54339i | −0.0342221 | + | 0.233138i | ||||
\(232\) | −2.28767 | + | 3.96237i | −0.150193 | + | 0.260142i | ||||
\(233\) | −12.8761 | − | 7.43401i | −0.843540 | − | 0.487018i | 0.0149261 | − | 0.999889i | \(-0.495249\pi\) |
−0.858466 | + | 0.512871i | \(0.828582\pi\) | |||||||
\(234\) | −5.77964 | − | 5.32716i | −0.377827 | − | 0.348247i | ||||
\(235\) | 0.501266 | + | 0.868218i | 0.0326990 | + | 0.0566363i | ||||
\(236\) | −1.32003 | − | 2.28635i | −0.0859263 | − | 0.148829i | ||||
\(237\) | 25.7121 | + | 10.0421i | 1.67018 | + | 0.652304i | ||||
\(238\) | 3.59958 | + | 15.6128i | 0.233326 | + | 1.01203i | ||||
\(239\) | −1.84122 | + | 1.06303i | −0.119099 | + | 0.0687617i | −0.558366 | − | 0.829595i | \(-0.688571\pi\) |
0.439267 | + | 0.898356i | \(0.355238\pi\) | |||||||
\(240\) | 1.61337 | + | 0.630115i | 0.104142 | + | 0.0406737i | ||||
\(241\) | 18.4443i | 1.18810i | 0.804426 | + | 0.594052i | \(0.202473\pi\) | ||||
−0.804426 | + | 0.594052i | \(0.797527\pi\) | |||||||
\(242\) | −8.99734 | + | 5.19462i | −0.578371 | + | 0.333923i | ||||
\(243\) | 15.1683 | − | 3.59464i | 0.973050 | − | 0.230596i | ||||
\(244\) | − | 2.13177i | − | 0.136473i | ||||||
\(245\) | −0.492485 | + | 6.98265i | −0.0314637 | + | 0.446105i | ||||
\(246\) | 18.7292 | − | 2.85474i | 1.19413 | − | 0.182012i | ||||
\(247\) | −18.4449 | −1.17362 | ||||||||
\(248\) | 3.74031 | − | 6.47842i | 0.237510 | − | 0.411380i | ||||
\(249\) | −1.06091 | − | 6.96033i | −0.0672323 | − | 0.441093i | ||||
\(250\) | −0.866025 | + | 0.500000i | −0.0547723 | + | 0.0316228i | ||||
\(251\) | −14.4909 | −0.914655 | −0.457328 | − | 0.889298i | \(-0.651193\pi\) | ||||
−0.457328 | + | 0.889298i | \(0.651193\pi\) | |||||||
\(252\) | 0.0437315 | + | 7.93713i | 0.00275482 | + | 0.499992i | ||||
\(253\) | 3.60216 | 0.226466 | ||||||||
\(254\) | 0.347483 | − | 0.200619i | 0.0218030 | − | 0.0125880i | ||||
\(255\) | −9.77040 | − | 3.81592i | −0.611846 | − | 0.238962i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6.81867 | −0.425337 | −0.212669 | − | 0.977124i | \(-0.568215\pi\) | ||||
−0.212669 | + | 0.977124i | \(0.568215\pi\) | |||||||
\(258\) | 9.63334 | + | 12.0388i | 0.599745 | + | 0.749504i | ||||
\(259\) | 27.9971 | − | 6.45479i | 1.73965 | − | 0.401081i | ||||
\(260\) | 2.62007i | 0.162490i | ||||||||
\(261\) | 9.30266 | − | 10.0928i | 0.575820 | − | 0.624729i | ||||
\(262\) | −19.1907 | + | 11.0798i | −1.18560 | + | 0.684509i | ||||
\(263\) | − | 18.5629i | − | 1.14464i | −0.820031 | − | 0.572319i | \(-0.806044\pi\) | ||
0.820031 | − | 0.572319i | \(-0.193956\pi\) | |||||||
\(264\) | 1.05691 | − | 0.845726i | 0.0650481 | − | 0.0520508i | ||||
\(265\) | 8.30234 | − | 4.79336i | 0.510008 | − | 0.294454i | ||||
\(266\) | 12.6986 | + | 13.6258i | 0.778601 | + | 0.835449i | ||||
\(267\) | −1.97791 | − | 12.9765i | −0.121046 | − | 0.794151i | ||||
\(268\) | 6.02939 | + | 10.4432i | 0.368304 | + | 0.637921i | ||||
\(269\) | −0.646992 | − | 1.12062i | −0.0394478 | − | 0.0683256i | 0.845627 | − | 0.533774i | \(-0.179227\pi\) |
−0.885075 | + | 0.465448i | \(0.845893\pi\) | |||||||
\(270\) | −4.30777 | − | 2.90570i | −0.262163 | − | 0.176836i | ||||
\(271\) | −23.9309 | − | 13.8165i | −1.45370 | − | 0.839295i | −0.455012 | − | 0.890485i | \(-0.650365\pi\) |
−0.998689 | + | 0.0511902i | \(0.983699\pi\) | |||||||
\(272\) | 3.02795 | − | 5.24457i | 0.183597 | − | 0.317999i | ||||
\(273\) | −11.1597 | + | 4.42954i | −0.675417 | + | 0.268088i | ||||
\(274\) | 9.60012 | + | 16.6279i | 0.579964 | + | 1.00453i | ||||
\(275\) | 0.781517i | 0.0471272i | ||||||||
\(276\) | 7.89220 | − | 1.20295i | 0.475055 | − | 0.0724088i | ||||
\(277\) | −24.4527 | −1.46922 | −0.734611 | − | 0.678488i | \(-0.762635\pi\) | ||||
−0.734611 | + | 0.678488i | \(0.762635\pi\) | |||||||
\(278\) | 0.0877042 | − | 0.151908i | 0.00526015 | − | 0.00911084i | ||||
\(279\) | −15.2097 | + | 16.5016i | −0.910582 | + | 0.987925i | ||||
\(280\) | 1.93552 | − | 1.80382i | 0.115670 | − | 0.107799i | ||||
\(281\) | 2.32984 | + | 1.34513i | 0.138986 | + | 0.0802438i | 0.567881 | − | 0.823111i | \(-0.307763\pi\) |
−0.428894 | + | 0.903355i | \(0.641097\pi\) | |||||||
\(282\) | 1.71661 | − | 0.261649i | 0.102223 | − | 0.0155810i | ||||
\(283\) | 6.19520 | + | 3.57680i | 0.368266 | + | 0.212619i | 0.672701 | − | 0.739915i | \(-0.265134\pi\) |
−0.304434 | + | 0.952533i | \(0.598467\pi\) | |||||||
\(284\) | 8.76422 | + | 5.06002i | 0.520061 | + | 0.300257i | ||||
\(285\) | −12.0541 | + | 1.83732i | −0.714026 | + | 0.108833i | ||||
\(286\) | 1.77330 | + | 1.02381i | 0.104857 | + | 0.0605394i | ||||
\(287\) | 8.46946 | − | 27.6727i | 0.499936 | − | 1.63347i | ||||
\(288\) | 2.03321 | − | 2.20591i | 0.119808 | − | 0.129985i | ||||
\(289\) | −9.83699 | + | 17.0382i | −0.578646 | + | 1.00224i | ||||
\(290\) | −4.57535 | −0.268674 | ||||||||
\(291\) | −9.89444 | + | 1.50813i | −0.580022 | + | 0.0884081i | ||||
\(292\) | − | 8.85659i | − | 0.518293i | ||||||
\(293\) | −2.65334 | − | 4.59573i | −0.155010 | − | 0.268485i | 0.778053 | − | 0.628199i | \(-0.216208\pi\) |
−0.933063 | + | 0.359714i | \(0.882874\pi\) | |||||||
\(294\) | 10.9553 | + | 5.19443i | 0.638924 | + | 0.302945i | ||||
\(295\) | 1.32003 | − | 2.28635i | 0.0768549 | − | 0.133117i | ||||
\(296\) | −9.40460 | − | 5.42975i | −0.546631 | − | 0.315598i | ||||
\(297\) | −3.64992 | + | 1.78013i | −0.211790 | + | 0.103294i | ||||
\(298\) | −0.615111 | − | 1.06540i | −0.0356324 | − | 0.0617171i | ||||
\(299\) | 6.03820 | + | 10.4585i | 0.349198 | + | 0.604829i | ||||
\(300\) | 0.260988 | + | 1.71227i | 0.0150682 | + | 0.0988582i | ||||
\(301\) | 22.9503 | − | 5.29124i | 1.32283 | − | 0.304982i | ||||
\(302\) | −1.62176 | + | 0.936323i | −0.0933218 | + | 0.0538794i | ||||
\(303\) | −1.35074 | + | 1.08084i | −0.0775977 | + | 0.0620929i | ||||
\(304\) | − | 7.03984i | − | 0.403763i | ||||||
\(305\) | 1.84617 | − | 1.06588i | 0.105711 | − | 0.0610324i | ||||
\(306\) | −12.3129 | + | 13.3588i | −0.703884 | + | 0.763671i | ||||
\(307\) | − | 28.5768i | − | 1.63097i | −0.578782 | − | 0.815483i | \(-0.696472\pi\) | ||
0.578782 | − | 0.815483i | \(-0.303528\pi\) | |||||||
\(308\) | −0.464527 | − | 2.01484i | −0.0264689 | − | 0.114806i | ||||
\(309\) | 6.35615 | + | 7.94330i | 0.361589 | + | 0.451879i | ||||
\(310\) | 7.48063 | 0.424871 | ||||||||
\(311\) | −14.1734 | + | 24.5491i | −0.803702 | + | 1.39205i | 0.113462 | + | 0.993542i | \(0.463806\pi\) |
−0.917164 | + | 0.398510i | \(0.869527\pi\) | |||||||
\(312\) | 4.22714 | + | 1.65094i | 0.239314 | + | 0.0934663i | ||||
\(313\) | 12.0568 | − | 6.96097i | 0.681488 | − | 0.393457i | −0.118927 | − | 0.992903i | \(-0.537946\pi\) |
0.800416 | + | 0.599446i | \(0.204612\pi\) | |||||||
\(314\) | −6.92615 | −0.390865 | ||||||||
\(315\) | −6.85189 | + | 4.00644i | −0.386060 | + | 0.225737i | ||||
\(316\) | −15.9369 | −0.896523 | ||||||||
\(317\) | 5.61708 | − | 3.24302i | 0.315487 | − | 0.182146i | −0.333892 | − | 0.942611i | \(-0.608362\pi\) |
0.649379 | + | 0.760465i | \(0.275029\pi\) | |||||||
\(318\) | −2.50202 | − | 16.4151i | −0.140306 | − | 0.920512i | ||||
\(319\) | −1.78786 | + | 3.09666i | −0.100101 | + | 0.173379i | ||||
\(320\) | −1.00000 | −0.0559017 | ||||||||
\(321\) | −8.34526 | + | 1.27200i | −0.465787 | + | 0.0709962i | ||||
\(322\) | 3.56891 | − | 11.6609i | 0.198887 | − | 0.649834i | ||||
\(323\) | 42.6326i | 2.37214i | ||||||||
\(324\) | −7.40236 | + | 5.11909i | −0.411242 | + | 0.284394i | ||||
\(325\) | −2.26905 | + | 1.31003i | −0.125864 | + | 0.0726677i | ||||
\(326\) | 18.2559i | 1.01110i | ||||||||
\(327\) | −1.09376 | − | 0.427178i | −0.0604852 | − | 0.0236230i | ||||
\(328\) | −9.47275 | + | 5.46910i | −0.523045 | + | 0.301980i | ||||
\(329\) | 0.776263 | − | 2.53632i | 0.0427967 | − | 0.139832i | ||||
\(330\) | 1.26087 | + | 0.492445i | 0.0694088 | + | 0.0271082i | ||||
\(331\) | 10.1155 | + | 17.5206i | 0.556001 | + | 0.963021i | 0.997825 | + | 0.0659198i | \(0.0209982\pi\) |
−0.441824 | + | 0.897102i | \(0.645669\pi\) | |||||||
\(332\) | 2.03248 | + | 3.52036i | 0.111547 | + | 0.193205i | ||||
\(333\) | 23.9551 | + | 22.0797i | 1.31273 | + | 1.20996i | ||||
\(334\) | −18.6214 | − | 10.7511i | −1.01892 | − | 0.588272i | ||||
\(335\) | −6.02939 | + | 10.4432i | −0.329421 | + | 0.570574i | ||||
\(336\) | −1.69062 | − | 4.25932i | −0.0922309 | − | 0.232365i | ||||
\(337\) | −6.26528 | − | 10.8518i | −0.341292 | − | 0.591134i | 0.643381 | − | 0.765546i | \(-0.277531\pi\) |
−0.984673 | + | 0.174412i | \(0.944198\pi\) | |||||||
\(338\) | − | 6.13524i | − | 0.333713i | ||||||
\(339\) | 1.93680 | − | 4.95905i | 0.105192 | − | 0.269338i | ||||
\(340\) | 6.05590 | 0.328428 | ||||||||
\(341\) | 2.92312 | − | 5.06299i | 0.158296 | − | 0.274176i | ||||
\(342\) | −4.63123 | + | 20.6055i | −0.250428 | + | 1.11422i | ||||
\(343\) | 14.4034 | − | 11.6422i | 0.777712 | − | 0.628621i | ||||
\(344\) | −7.70932 | − | 4.45098i | −0.415659 | − | 0.239981i | ||||
\(345\) | 4.98788 | + | 6.23338i | 0.268539 | + | 0.335594i | ||||
\(346\) | 5.73336 | + | 3.31016i | 0.308228 | + | 0.177955i | ||||
\(347\) | 0.249731 | + | 0.144182i | 0.0134063 | + | 0.00774011i | 0.506688 | − | 0.862129i | \(-0.330870\pi\) |
−0.493282 | + | 0.869870i | \(0.664203\pi\) | |||||||
\(348\) | −2.88299 | + | 7.38172i | −0.154545 | + | 0.395702i | ||||
\(349\) | −6.77506 | − | 3.91159i | −0.362661 | − | 0.209382i | 0.307586 | − | 0.951520i | \(-0.400479\pi\) |
−0.670247 | + | 0.742138i | \(0.733812\pi\) | |||||||
\(350\) | 2.52991 | + | 0.774302i | 0.135230 | + | 0.0413882i | ||||
\(351\) | −11.2867 | − | 7.61315i | −0.602437 | − | 0.406360i | ||||
\(352\) | −0.390758 | + | 0.676813i | −0.0208275 | + | 0.0360743i | ||||
\(353\) | 4.24919 | 0.226162 | 0.113081 | − | 0.993586i | \(-0.463928\pi\) | ||||
0.113081 | + | 0.993586i | \(0.463928\pi\) | |||||||
\(354\) | −2.85696 | − | 3.57035i | −0.151846 | − | 0.189762i | ||||
\(355\) | 10.1200i | 0.537116i | ||||||||
\(356\) | 3.78927 | + | 6.56320i | 0.200831 | + | 0.347849i | ||||
\(357\) | 10.2382 | + | 25.7940i | 0.541865 | + | 1.36516i | ||||
\(358\) | 5.19284 | − | 8.99427i | 0.274450 | − | 0.475362i | ||||
\(359\) | 9.71995 | + | 5.61182i | 0.513000 | + | 0.296180i | 0.734066 | − | 0.679078i | \(-0.237620\pi\) |
−0.221066 | + | 0.975259i | \(0.570954\pi\) | |||||||
\(360\) | 2.92698 | + | 0.657860i | 0.154265 | + | 0.0346722i | ||||
\(361\) | 15.2797 | + | 26.4652i | 0.804194 | + | 1.39291i | ||||
\(362\) | −0.383412 | − | 0.664089i | −0.0201517 | − | 0.0349037i | ||||
\(363\) | −14.0502 | + | 11.2428i | −0.737443 | + | 0.590095i | ||||
\(364\) | 5.07120 | − | 4.72613i | 0.265803 | − | 0.247716i | ||||
\(365\) | 7.67003 | − | 4.42830i | 0.401468 | − | 0.231788i | ||||
\(366\) | −0.556367 | − | 3.65017i | −0.0290818 | − | 0.190798i | ||||
\(367\) | 6.63431i | 0.346308i | 0.984895 | + | 0.173154i | \(0.0553958\pi\) | ||||
−0.984895 | + | 0.173154i | \(0.944604\pi\) | |||||||
\(368\) | −3.99168 | + | 2.30460i | −0.208081 | + | 0.120135i | ||||
\(369\) | 31.3245 | − | 9.77620i | 1.63069 | − | 0.508929i | ||||
\(370\) | − | 10.8595i | − | 0.564558i | ||||||
\(371\) | −24.2535 | − | 7.42301i | −1.25918 | − | 0.385383i | ||||
\(372\) | 4.71366 | − | 12.0690i | 0.244392 | − | 0.625749i | ||||
\(373\) | −30.4025 | −1.57418 | −0.787091 | − | 0.616837i | \(-0.788414\pi\) | ||||
−0.787091 | + | 0.616837i | \(0.788414\pi\) | |||||||
\(374\) | 2.36639 | − | 4.09872i | 0.122363 | − | 0.211940i | ||||
\(375\) | −1.35238 | + | 1.08216i | −0.0698366 | + | 0.0558825i | ||||
\(376\) | −0.868218 | + | 0.501266i | −0.0447749 | + | 0.0258508i | ||||
\(377\) | −11.9877 | −0.617400 | ||||||||
\(378\) | 2.14638 | + | 13.5791i | 0.110398 | + | 0.698436i | ||||
\(379\) | −7.50620 | −0.385568 | −0.192784 | − | 0.981241i | \(-0.561752\pi\) | ||||
−0.192784 | + | 0.981241i | \(0.561752\pi\) | |||||||
\(380\) | 6.09668 | − | 3.51992i | 0.312753 | − | 0.180568i | ||||
\(381\) | 0.542627 | − | 0.434205i | 0.0277996 | − | 0.0222450i | ||||
\(382\) | 6.76794 | − | 11.7224i | 0.346278 | − | 0.599771i | ||||
\(383\) | −4.17818 | −0.213495 | −0.106748 | − | 0.994286i | \(-0.534044\pi\) | ||||
−0.106748 | + | 0.994286i | \(0.534044\pi\) | |||||||
\(384\) | −0.630115 | + | 1.61337i | −0.0321554 | + | 0.0823318i | ||||
\(385\) | 1.51264 | − | 1.40971i | 0.0770914 | − | 0.0718456i | ||||
\(386\) | 9.39501i | 0.478193i | ||||||||
\(387\) | 19.6369 | + | 18.0996i | 0.998201 | + | 0.920053i | ||||
\(388\) | 5.00436 | − | 2.88927i | 0.254058 | − | 0.146680i | ||||
\(389\) | − | 14.2487i | − | 0.722439i | −0.932481 | − | 0.361220i | \(-0.882360\pi\) | ||
0.932481 | − | 0.361220i | \(-0.117640\pi\) | |||||||
\(390\) | 0.683808 | + | 4.48628i | 0.0346259 | + | 0.227172i | ||||
\(391\) | 24.1732 | − | 13.9564i | 1.22249 | − | 0.705806i | ||||
\(392\) | −6.98265 | − | 0.492485i | −0.352677 | − | 0.0248742i | ||||
\(393\) | −29.9681 | + | 23.9801i | −1.51169 | + | 1.20964i | ||||
\(394\) | −6.00362 | − | 10.3986i | −0.302458 | − | 0.523872i | ||||
\(395\) | −7.96847 | − | 13.8018i | −0.400937 | − | 0.694443i | ||||
\(396\) | 1.58899 | − | 1.72396i | 0.0798498 | − | 0.0866320i | ||||
\(397\) | 15.1562 | + | 8.75045i | 0.760669 | + | 0.439172i | 0.829536 | − | 0.558453i | \(-0.188605\pi\) |
−0.0688669 | + | 0.997626i | \(0.521938\pi\) | |||||||
\(398\) | −2.18223 | + | 3.77973i | −0.109385 | + | 0.189461i | ||||
\(399\) | 25.2996 | + | 20.0169i | 1.26657 | + | 1.00210i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | − | 12.0735i | − | 0.602924i | −0.953478 | − | 0.301462i | \(-0.902525\pi\) | ||
0.953478 | − | 0.301462i | \(-0.0974746\pi\) | |||||||
\(402\) | 13.0495 | + | 16.3080i | 0.650852 | + | 0.813372i | ||||
\(403\) | 19.5998 | 0.976334 | ||||||||
\(404\) | 0.499392 | − | 0.864973i | 0.0248457 | − | 0.0430340i | ||||
\(405\) | −8.13444 | − | 3.85109i | −0.404204 | − | 0.191362i | ||||
\(406\) | 8.25309 | + | 8.85568i | 0.409594 | + | 0.439500i | ||||
\(407\) | −7.34985 | − | 4.24344i | −0.364319 | − | 0.210339i | ||||
\(408\) | 3.81592 | − | 9.77040i | 0.188916 | − | 0.483707i | ||||
\(409\) | −30.4287 | − | 17.5680i | −1.50460 | − | 0.868683i | −0.999986 | − | 0.00533893i | \(-0.998301\pi\) |
−0.504617 | − | 0.863344i | \(-0.668366\pi\) | |||||||
\(410\) | −9.47275 | − | 5.46910i | −0.467826 | − | 0.270099i | ||||
\(411\) | 20.7777 | + | 25.9660i | 1.02489 | + | 1.28081i | ||||
\(412\) | −5.08667 | − | 2.93679i | −0.250602 | − | 0.144685i | ||||
\(413\) | −6.80637 | + | 1.56922i | −0.334919 | + | 0.0772164i | ||||
\(414\) | 13.1997 | − | 4.11955i | 0.648728 | − | 0.202465i | ||||
\(415\) | −2.03248 | + | 3.52036i | −0.0997706 | + | 0.172808i | ||||
\(416\) | −2.62007 | −0.128459 | ||||||||
\(417\) | 0.110527 | − | 0.282998i | 0.00541255 | − | 0.0138585i | ||||
\(418\) | − | 5.50175i | − | 0.269100i | ||||||
\(419\) | −1.20192 | − | 2.08178i | −0.0587176 | − | 0.101702i | 0.835172 | − | 0.549988i | \(-0.185368\pi\) |
−0.893890 | + | 0.448286i | \(0.852034\pi\) | |||||||
\(420\) | 2.84337 | − | 3.59378i | 0.138742 | − | 0.175359i | ||||
\(421\) | 0.667716 | − | 1.15652i | 0.0325425 | − | 0.0563652i | −0.849295 | − | 0.527918i | \(-0.822973\pi\) |
0.881838 | + | 0.471553i | \(0.156306\pi\) | |||||||
\(422\) | 10.0942 | + | 5.82791i | 0.491380 | + | 0.283698i | ||||
\(423\) | 2.87102 | − | 0.896031i | 0.139594 | − | 0.0435665i | ||||
\(424\) | 4.79336 | + | 8.30234i | 0.232786 | + | 0.403197i | ||||
\(425\) | 3.02795 | + | 5.24457i | 0.146877 | + | 0.254399i | ||||
\(426\) | 16.3274 | + | 6.37679i | 0.791063 | + | 0.308957i | ||||
\(427\) | −5.39319 | − | 1.65063i | −0.260995 | − | 0.0798797i | ||||
\(428\) | 4.22082 | − | 2.43689i | 0.204021 | − | 0.117792i | ||||
\(429\) | 3.30358 | + | 1.29024i | 0.159498 | + | 0.0622934i | ||||
\(430\) | − | 8.90195i | − | 0.429290i | ||||||
\(431\) | −27.5465 | + | 15.9040i | −1.32687 | + | 0.766067i | −0.984814 | − | 0.173613i | \(-0.944456\pi\) |
−0.342054 | + | 0.939680i | \(0.611122\pi\) | |||||||
\(432\) | 2.90570 | − | 4.30777i | 0.139801 | − | 0.207258i | ||||
\(433\) | − | 33.1620i | − | 1.59367i | −0.604200 | − | 0.796833i | \(-0.706507\pi\) | ||
0.604200 | − | 0.796833i | \(-0.293493\pi\) | |||||||
\(434\) | −13.4937 | − | 14.4789i | −0.647718 | − | 0.695010i | ||||
\(435\) | −7.83425 | + | 1.19411i | −0.375624 | + | 0.0572533i | ||||
\(436\) | 0.677937 | 0.0324673 | ||||||||
\(437\) | 16.2240 | − | 28.1008i | 0.776099 | − | 1.34424i | ||||
\(438\) | −2.31147 | − | 15.1649i | −0.110446 | − | 0.724608i | ||||
\(439\) | −24.7576 | + | 14.2938i | −1.18162 | + | 0.682207i | −0.956388 | − | 0.292099i | \(-0.905646\pi\) |
−0.225229 | + | 0.974306i | \(0.572313\pi\) | |||||||
\(440\) | −0.781517 | −0.0372573 | ||||||||
\(441\) | 20.1141 | + | 6.03510i | 0.957815 | + | 0.287386i | ||||
\(442\) | 15.8669 | 0.754711 | ||||||||
\(443\) | −30.2830 | + | 17.4839i | −1.43879 | + | 0.830684i | −0.997766 | − | 0.0668124i | \(-0.978717\pi\) |
−0.441022 | + | 0.897497i | \(0.645384\pi\) | |||||||
\(444\) | −17.5204 | − | 6.84273i | −0.831480 | − | 0.324742i | ||||
\(445\) | −3.78927 | + | 6.56320i | −0.179629 | + | 0.311126i | ||||
\(446\) | −9.97434 | −0.472299 | ||||||||
\(447\) | −1.33130 | − | 1.66373i | −0.0629681 | − | 0.0786915i | ||||
\(448\) | 1.80382 | + | 1.93552i | 0.0852224 | + | 0.0914448i | ||||
\(449\) | 12.6187i | 0.595515i | 0.954642 | + | 0.297758i | \(0.0962387\pi\) | ||||
−0.954642 | + | 0.297758i | \(0.903761\pi\) | |||||||
\(450\) | 0.893768 | + | 2.86377i | 0.0421326 | + | 0.134999i | ||||
\(451\) | −7.40311 | + | 4.27419i | −0.348599 | + | 0.201264i | ||||
\(452\) | 3.07372i | 0.144576i | ||||||||
\(453\) | −2.53253 | + | 2.02650i | −0.118989 | + | 0.0952134i | ||||
\(454\) | −14.8607 | + | 8.57982i | −0.697447 | + | 0.402671i | ||||
\(455\) | 6.62855 | + | 2.02872i | 0.310751 | + | 0.0951081i | ||||
\(456\) | −1.83732 | − | 12.0541i | −0.0860403 | − | 0.564487i | ||||
\(457\) | −15.1831 | − | 26.2979i | −0.710236 | − | 1.23016i | −0.964768 | − | 0.263100i | \(-0.915255\pi\) |
0.254533 | − | 0.967064i | \(-0.418078\pi\) | |||||||
\(458\) | 6.44708 | + | 11.1667i | 0.301252 | + | 0.521784i | ||||
\(459\) | −17.5967 | + | 26.0874i | −0.821342 | + | 1.21766i | ||||
\(460\) | −3.99168 | − | 2.30460i | −0.186113 | − | 0.107452i | ||||
\(461\) | 0.772644 | − | 1.33826i | 0.0359856 | − | 0.0623289i | −0.847472 | − | 0.530841i | \(-0.821876\pi\) |
0.883457 | + | 0.468512i | \(0.155210\pi\) | |||||||
\(462\) | −1.32125 | − | 3.32873i | −0.0614700 | − | 0.154866i | ||||
\(463\) | −7.01500 | − | 12.1503i | −0.326015 | − | 0.564674i | 0.655703 | − | 0.755019i | \(-0.272373\pi\) |
−0.981717 | + | 0.190346i | \(0.939039\pi\) | |||||||
\(464\) | − | 4.57535i | − | 0.212405i | ||||||
\(465\) | 12.8089 | − | 1.95236i | 0.593998 | − | 0.0905384i | ||||
\(466\) | 14.8680 | 0.688747 | ||||||||
\(467\) | 5.25258 | − | 9.09774i | 0.243061 | − | 0.420993i | −0.718524 | − | 0.695502i | \(-0.755182\pi\) |
0.961585 | + | 0.274509i | \(0.0885153\pi\) | |||||||
\(468\) | 7.66889 | + | 1.72364i | 0.354495 | + | 0.0796752i | ||||
\(469\) | 31.0890 | − | 7.16763i | 1.43556 | − | 0.330971i | ||||
\(470\) | −0.868218 | − | 0.501266i | −0.0400479 | − | 0.0231217i | ||||
\(471\) | −11.8595 | + | 1.80764i | −0.546456 | + | 0.0832919i | ||||
\(472\) | 2.28635 | + | 1.32003i | 0.105238 | + | 0.0607591i | ||||
\(473\) | −6.02496 | − | 3.47851i | −0.277028 | − | 0.159942i | ||||
\(474\) | −27.2884 | + | 4.15935i | −1.25340 | + | 0.191045i | ||||
\(475\) | 6.09668 | + | 3.51992i | 0.279735 | + | 0.161505i | ||||
\(476\) | −10.9237 | − | 11.7213i | −0.500689 | − | 0.537246i | ||||
\(477\) | −8.56829 | − | 27.4541i | −0.392315 | − | 1.25704i | ||||
\(478\) | 1.06303 | − | 1.84122i | 0.0486219 | − | 0.0842155i | ||||
\(479\) | 9.77353 | 0.446564 | 0.223282 | − | 0.974754i | \(-0.428323\pi\) | ||||
0.223282 | + | 0.974754i | \(0.428323\pi\) | |||||||
\(480\) | −1.71227 | + | 0.260988i | −0.0781543 | + | 0.0119124i | ||||
\(481\) | − | 28.4526i | − | 1.29733i | ||||||
\(482\) | −9.22217 | − | 15.9733i | −0.420058 | − | 0.727563i | ||||
\(483\) | 3.06760 | − | 20.8980i | 0.139581 | − | 0.950893i | ||||
\(484\) | 5.19462 | − | 8.99734i | 0.236119 | − | 0.408970i | ||||
\(485\) | 5.00436 | + | 2.88927i | 0.227236 | + | 0.131195i | ||||
\(486\) | −11.3389 | + | 10.6972i | −0.514341 | + | 0.485236i | ||||
\(487\) | 0.414656 | + | 0.718204i | 0.0187898 | + | 0.0325449i | 0.875267 | − | 0.483639i | \(-0.160685\pi\) |
−0.856478 | + | 0.516184i | \(0.827352\pi\) | |||||||
\(488\) | 1.06588 | + | 1.84617i | 0.0482503 | + | 0.0835720i | ||||
\(489\) | 4.76459 | + | 31.2592i | 0.215462 | + | 1.41359i | ||||
\(490\) | −3.06482 | − | 6.29340i | −0.138455 | − | 0.284307i | ||||
\(491\) | 21.3419 | − | 12.3218i | 0.963147 | − | 0.556073i | 0.0660068 | − | 0.997819i | \(-0.478974\pi\) |
0.897140 | + | 0.441746i | \(0.145641\pi\) | |||||||
\(492\) | −14.7926 | + | 11.8369i | −0.666901 | + | 0.533647i | ||||
\(493\) | 27.7079i | 1.24790i | ||||||||
\(494\) | 15.9737 | − | 9.22244i | 0.718692 | − | 0.414937i | ||||
\(495\) | 2.28748 | + | 0.514128i | 0.102815 | + | 0.0231083i | ||||
\(496\) | 7.48063i | 0.335890i | ||||||||
\(497\) | 19.5876 | − | 18.2547i | 0.878623 | − | 0.818836i | ||||
\(498\) | 4.39894 | + | 5.49737i | 0.197121 | + | 0.246343i | ||||
\(499\) | 29.0471 | 1.30033 | 0.650164 | − | 0.759794i | \(-0.274700\pi\) | ||||
0.650164 | + | 0.759794i | \(0.274700\pi\) | |||||||
\(500\) | 0.500000 | − | 0.866025i | 0.0223607 | − | 0.0387298i | ||||
\(501\) | −34.6908 | − | 13.5488i | −1.54987 | − | 0.605316i | ||||
\(502\) | 12.5495 | − | 7.24543i | 0.560110 | − | 0.323379i | ||||
\(503\) | −1.72372 | −0.0768570 | −0.0384285 | − | 0.999261i | \(-0.512235\pi\) | ||||
−0.0384285 | + | 0.999261i | \(0.512235\pi\) | |||||||
\(504\) | −4.00644 | − | 6.85189i | −0.178461 | − | 0.305208i | ||||
\(505\) | 0.998784 | 0.0444453 | ||||||||
\(506\) | −3.11956 | + | 1.80108i | −0.138681 | + | 0.0800678i | ||||
\(507\) | −1.60123 | − | 10.5052i | −0.0711129 | − | 0.466553i | ||||
\(508\) | −0.200619 | + | 0.347483i | −0.00890105 | + | 0.0154171i | ||||
\(509\) | −12.6782 | −0.561952 | −0.280976 | − | 0.959715i | \(-0.590658\pi\) | ||||
−0.280976 | + | 0.959715i | \(0.590658\pi\) | |||||||
\(510\) | 10.3694 | − | 1.58052i | 0.459164 | − | 0.0699866i | ||||
\(511\) | −22.4064 | − | 6.85768i | −0.991201 | − | 0.303366i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −2.55214 | + | 36.4910i | −0.112680 | + | 1.61112i | ||||
\(514\) | 5.90514 | − | 3.40934i | 0.260465 | − | 0.150379i | ||||
\(515\) | − | 5.87358i | − | 0.258821i | ||||||
\(516\) | −14.3621 | − | 5.60925i | −0.632257 | − | 0.246934i | ||||
\(517\) | −0.678527 | + | 0.391748i | −0.0298416 | + | 0.0172291i | ||||
\(518\) | −21.0188 | + | 19.5886i | −0.923513 | + | 0.860672i | ||||
\(519\) | 10.6810 | + | 4.17156i | 0.468844 | + | 0.183111i | ||||
\(520\) | −1.31003 | − | 2.26905i | −0.0574488 | − | 0.0995043i | ||||
\(521\) | 20.9088 | + | 36.2152i | 0.916032 | + | 1.58661i | 0.805383 | + | 0.592755i | \(0.201960\pi\) |
0.110650 | + | 0.993859i | \(0.464707\pi\) | |||||||
\(522\) | −3.00994 | + | 13.3920i | −0.131741 | + | 0.586150i | ||||
\(523\) | −23.2073 | − | 13.3987i | −1.01478 | − | 0.585885i | −0.102195 | − | 0.994764i | \(-0.532586\pi\) |
−0.912589 | + | 0.408879i | \(0.865920\pi\) | |||||||
\(524\) | 11.0798 | − | 19.1907i | 0.484021 | − | 0.838349i | ||||
\(525\) | 4.53399 | + | 0.665540i | 0.197880 | + | 0.0290465i | ||||
\(526\) | 9.28146 | + | 16.0760i | 0.404691 | + | 0.700945i | ||||
\(527\) | − | 45.3020i | − | 1.97339i | ||||||
\(528\) | −0.492445 | + | 1.26087i | −0.0214309 | + | 0.0548725i | ||||
\(529\) | 1.75534 | 0.0763192 | ||||||||
\(530\) | −4.79336 | + | 8.30234i | −0.208210 | + | 0.360630i | ||||
\(531\) | −5.82372 | − | 5.36779i | −0.252728 | − | 0.232942i | ||||
\(532\) | −17.8102 | − | 5.45096i | −0.772169 | − | 0.236329i | ||||
\(533\) | −24.8193 | − | 14.3294i | −1.07504 | − | 0.620676i | ||||
\(534\) | 8.20119 | + | 10.2491i | 0.354900 | + | 0.443520i | ||||
\(535\) | 4.22082 | + | 2.43689i | 0.182482 | + | 0.105356i | ||||
\(536\) | −10.4432 | − | 6.02939i | −0.451078 | − | 0.260430i | ||||
\(537\) | 6.54417 | − | 16.7559i | 0.282402 | − | 0.723072i | ||||
\(538\) | 1.12062 | + | 0.646992i | 0.0483135 | + | 0.0278938i | ||||
\(539\) | −5.45706 | − | 0.384885i | −0.235052 | − | 0.0165782i | ||||
\(540\) | 5.18349 | + | 0.362528i | 0.223062 | + | 0.0156007i | ||||
\(541\) | 5.58077 | − | 9.66618i | 0.239936 | − | 0.415581i | −0.720760 | − | 0.693185i | \(-0.756207\pi\) |
0.960696 | + | 0.277604i | \(0.0895402\pi\) | |||||||
\(542\) | 27.6331 | 1.18694 | ||||||||
\(543\) | −0.829826 | − | 1.03704i | −0.0356112 | − | 0.0445035i | ||||
\(544\) | 6.05590i | 0.259645i | ||||||||
\(545\) | 0.338969 | + | 0.587111i | 0.0145198 | + | 0.0251491i | ||||
\(546\) | 7.44982 | − | 9.41595i | 0.318823 | − | 0.402966i | ||||
\(547\) | 1.68877 | − | 2.92504i | 0.0722067 | − | 0.125066i | −0.827661 | − | 0.561228i | \(-0.810329\pi\) |
0.899868 | + | 0.436162i | \(0.143663\pi\) | |||||||
\(548\) | −16.6279 | − | 9.60012i | −0.710308 | − | 0.410097i | ||||
\(549\) | −1.90531 | − | 6.10490i | −0.0813165 | − | 0.260551i | ||||
\(550\) | −0.390758 | − | 0.676813i | −0.0166620 | − | 0.0288594i | ||||
\(551\) | 16.1049 | + | 27.8944i | 0.686090 | + | 1.18834i | ||||
\(552\) | −6.23338 | + | 4.98788i | −0.265310 | + | 0.212298i | ||||
\(553\) | −12.3400 | + | 40.3190i | −0.524750 | + | 1.71454i | ||||
\(554\) | 21.1767 | − | 12.2264i | 0.899711 | − | 0.519449i | ||||
\(555\) | −2.83420 | − | 18.5944i | −0.120305 | − | 0.789290i | ||||
\(556\) | 0.175408i | 0.00743897i | ||||||||
\(557\) | 19.1518 | − | 11.0573i | 0.811489 | − | 0.468513i | −0.0359839 | − | 0.999352i | \(-0.511456\pi\) |
0.847473 | + | 0.530839i | \(0.178123\pi\) | |||||||
\(558\) | 4.92120 | − | 21.8957i | 0.208331 | − | 0.926917i | ||||
\(559\) | − | 23.3237i | − | 0.986489i | ||||||
\(560\) | −0.774302 | + | 2.52991i | −0.0327202 | + | 0.106908i | ||||
\(561\) | 2.98220 | − | 7.63573i | 0.125909 | − | 0.322381i | ||||
\(562\) | −2.69026 | −0.113482 | ||||||||
\(563\) | −6.56999 | + | 11.3796i | −0.276892 | + | 0.479591i | −0.970611 | − | 0.240655i | \(-0.922638\pi\) |
0.693719 | + | 0.720246i | \(0.255971\pi\) | |||||||
\(564\) | −1.35580 | + | 1.08490i | −0.0570896 | + | 0.0456825i | ||||
\(565\) | −2.66192 | + | 1.53686i | −0.111988 | + | 0.0646563i | ||||
\(566\) | −7.15360 | −0.300688 | ||||||||
\(567\) | 7.21919 | + | 22.6910i | 0.303177 | + | 0.952934i | ||||
\(568\) | −10.1200 | −0.424628 | ||||||||
\(569\) | 14.3290 | − | 8.27287i | 0.600704 | − | 0.346817i | −0.168614 | − | 0.985682i | \(-0.553929\pi\) |
0.769319 | + | 0.638865i | \(0.220596\pi\) | |||||||
\(570\) | 9.52054 | − | 7.61824i | 0.398771 | − | 0.319093i | ||||
\(571\) | 20.9898 | − | 36.3554i | 0.878397 | − | 1.52143i | 0.0252972 | − | 0.999680i | \(-0.491947\pi\) |
0.853100 | − | 0.521748i | \(-0.174720\pi\) | |||||||
\(572\) | −2.04763 | −0.0856156 | ||||||||
\(573\) | 8.52915 | − | 21.8383i | 0.356311 | − | 0.912310i | ||||
\(574\) | 6.50157 | + | 28.2000i | 0.271370 | + | 1.17704i | ||||
\(575\) | − | 4.60919i | − | 0.192217i | ||||||
\(576\) | −0.657860 | + | 2.92698i | −0.0274108 | + | 0.121958i | ||||
\(577\) | 0.965716 | − | 0.557556i | 0.0402033 | − | 0.0232114i | −0.479764 | − | 0.877398i | \(-0.659278\pi\) |
0.519967 | + | 0.854186i | \(0.325944\pi\) | |||||||
\(578\) | − | 19.6740i | − | 0.818329i | ||||||
\(579\) | 2.45199 | + | 16.0868i | 0.101901 | + | 0.668546i | ||||
\(580\) | 3.96237 | − | 2.28767i | 0.164528 | − | 0.0949905i | ||||
\(581\) | 10.4800 | − | 2.41618i | 0.434782 | − | 0.100240i | ||||
\(582\) | 7.81477 | − | 6.25330i | 0.323933 | − | 0.259207i | ||||
\(583\) | 3.74609 | + | 6.48841i | 0.155147 | + | 0.268723i | ||||
\(584\) | 4.42830 | + | 7.67003i | 0.183244 | + | 0.317388i | ||||
\(585\) | 2.34173 | + | 7.50328i | 0.0968188 | + | 0.310222i | ||||
\(586\) | 4.59573 | + | 2.65334i | 0.189848 | + | 0.109609i | ||||
\(587\) | 7.06492 | − | 12.2368i | 0.291600 | − | 0.505067i | −0.682588 | − | 0.730803i | \(-0.739146\pi\) |
0.974188 | + | 0.225737i | \(0.0724789\pi\) | |||||||
\(588\) | −12.0848 | + | 0.979123i | −0.498367 | + | 0.0403783i | ||||
\(589\) | −26.3312 | − | 45.6070i | −1.08496 | − | 1.87920i | ||||
\(590\) | 2.64005i | 0.108689i | ||||||||
\(591\) | −12.9937 | − | 16.2383i | −0.534491 | − | 0.667956i | ||||
\(592\) | 10.8595 | 0.446323 | ||||||||
\(593\) | 1.63329 | − | 2.82894i | 0.0670711 | − | 0.116171i | −0.830540 | − | 0.556959i | \(-0.811968\pi\) |
0.897611 | + | 0.440789i | \(0.145301\pi\) | |||||||
\(594\) | 2.27086 | − | 3.36659i | 0.0931744 | − | 0.138133i | ||||
\(595\) | 4.68910 | − | 15.3209i | 0.192234 | − | 0.628096i | ||||
\(596\) | 1.06540 | + | 0.615111i | 0.0436406 | + | 0.0251959i | ||||
\(597\) | −2.75011 | + | 7.04148i | −0.112555 | + | 0.288189i | ||||
\(598\) | −10.4585 | − | 6.03820i | −0.427679 | − | 0.246920i | ||||
\(599\) | 9.28550 | + | 5.36099i | 0.379395 | + | 0.219044i | 0.677555 | − | 0.735472i | \(-0.263040\pi\) |
−0.298160 | + | 0.954516i | \(0.596373\pi\) | |||||||
\(600\) | −1.08216 | − | 1.35238i | −0.0441790 | − | 0.0552107i | ||||
\(601\) | 34.1874 | + | 19.7381i | 1.39453 | + | 0.805134i | 0.993813 | − | 0.111067i | \(-0.0354268\pi\) |
0.400720 | + | 0.916201i | \(0.368760\pi\) | |||||||
\(602\) | −17.2299 | + | 16.0575i | −0.702239 | + | 0.654455i | ||||
\(603\) | 26.6006 | + | 24.5181i | 1.08326 | + | 0.998454i | ||||
\(604\) | 0.936323 | − | 1.62176i | 0.0380985 | − | 0.0659885i | ||||
\(605\) | 10.3892 | 0.422382 | ||||||||
\(606\) | 0.629349 | − | 1.61141i | 0.0255655 | − | 0.0654589i | ||||
\(607\) | 23.4972i | 0.953721i | 0.878979 | + | 0.476861i | \(0.158225\pi\) | ||||
−0.878979 | + | 0.476861i | \(0.841775\pi\) | |||||||
\(608\) | 3.51992 | + | 6.09668i | 0.142752 | + | 0.247253i | ||||
\(609\) | 16.4428 | + | 13.0094i | 0.666296 | + | 0.527168i | ||||
\(610\) | −1.06588 | + | 1.84617i | −0.0431564 | + | 0.0747491i | ||||
\(611\) | −2.27479 | − | 1.31335i | −0.0920283 | − | 0.0531325i | ||||
\(612\) | 3.98393 | − | 17.7255i | 0.161041 | − | 0.716512i | ||||
\(613\) | 4.76729 | + | 8.25719i | 0.192549 | + | 0.333505i | 0.946094 | − | 0.323891i | \(-0.104991\pi\) |
−0.753545 | + | 0.657396i | \(0.771658\pi\) | |||||||
\(614\) | 14.2884 | + | 24.7483i | 0.576633 | + | 0.998758i | ||||
\(615\) | −17.6473 | − | 6.89232i | −0.711609 | − | 0.277925i | ||||
\(616\) | 1.40971 | + | 1.51264i | 0.0567990 | + | 0.0609461i | ||||
\(617\) | −22.4936 | + | 12.9867i | −0.905559 | + | 0.522825i | −0.879000 | − | 0.476823i | \(-0.841788\pi\) |
−0.0265594 | + | 0.999647i | \(0.508455\pi\) | |||||||
\(618\) | −9.47624 | − | 3.70103i | −0.381190 | − | 0.148877i | ||||
\(619\) | 12.8707i | 0.517317i | 0.965969 | + | 0.258658i | \(0.0832804\pi\) | ||||
−0.965969 | + | 0.258658i | \(0.916720\pi\) | |||||||
\(620\) | −6.47842 | + | 3.74031i | −0.260179 | + | 0.150215i | ||||
\(621\) | 21.5263 | − | 10.4988i | 0.863821 | − | 0.421301i | ||||
\(622\) | − | 28.3469i | − | 1.13661i | ||||||
\(623\) | 19.5384 | − | 4.50461i | 0.782788 | − | 0.180474i | ||||
\(624\) | −4.48628 | + | 0.683808i | −0.179595 | + | 0.0273742i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −6.96097 | + | 12.0568i | −0.278216 | + | 0.481885i | ||||
\(627\) | −1.43589 | − | 9.42052i | −0.0573441 | − | 0.376219i | ||||
\(628\) | 5.99822 | − | 3.46308i | 0.239355 | − | 0.138192i | ||||
\(629\) | −65.7641 | −2.62219 | ||||||||
\(630\) | 3.93069 | − | 6.89562i | 0.156603 | − | 0.274728i | ||||
\(631\) | 25.3213 | 1.00802 | 0.504012 | − | 0.863697i | \(-0.331857\pi\) | ||||
0.504012 | + | 0.863697i | \(0.331857\pi\) | |||||||
\(632\) | 13.8018 | − | 7.96847i | 0.549006 | − | 0.316969i | ||||
\(633\) | 18.8051 | + | 7.34451i | 0.747437 | + | 0.291918i | ||||
\(634\) | −3.24302 | + | 5.61708i | −0.128797 | + | 0.223083i | ||||
\(635\) | −0.401239 | −0.0159227 | ||||||||
\(636\) | 10.3744 | + | 12.9649i | 0.411370 | + | 0.514091i | ||||
\(637\) | −8.03005 | − | 16.4891i | −0.318162 | − | 0.653324i | ||||
\(638\) | − | 3.57571i | − | 0.141564i | ||||||
\(639\) | 29.6212 | + | 6.65757i | 1.17180 | + | 0.263369i | ||||
\(640\) | 0.866025 | − | 0.500000i | 0.0342327 | − | 0.0197642i | ||||
\(641\) | − | 20.8838i | − | 0.824859i | −0.910989 | − | 0.412430i | \(-0.864680\pi\) | ||
0.910989 | − | 0.412430i | \(-0.135320\pi\) | |||||||
\(642\) | 6.59121 | − | 5.27422i | 0.260134 | − | 0.208157i | ||||
\(643\) | −1.18971 | + | 0.686880i | −0.0469177 | + | 0.0270879i | −0.523275 | − | 0.852164i | \(-0.675290\pi\) |
0.476358 | + | 0.879252i | \(0.341957\pi\) | |||||||
\(644\) | 2.73966 | + | 11.8830i | 0.107958 | + | 0.468258i | ||||
\(645\) | −2.32331 | − | 15.2426i | −0.0914801 | − | 0.600177i | ||||
\(646\) | −21.3163 | − | 36.9209i | −0.838679 | − | 1.45263i | ||||
\(647\) | 18.1195 | + | 31.3838i | 0.712349 | + | 1.23383i | 0.963973 | + | 0.266000i | \(0.0857022\pi\) |
−0.251624 | + | 0.967825i | \(0.580964\pi\) | |||||||
\(648\) | 3.85109 | − | 8.13444i | 0.151285 | − | 0.319551i | ||||
\(649\) | 1.78682 | + | 1.03162i | 0.0701389 | + | 0.0404947i | ||||
\(650\) | 1.31003 | − | 2.26905i | 0.0513838 | − | 0.0889993i | ||||
\(651\) | −26.8837 | − | 21.2702i | −1.05366 | − | 0.833644i | ||||
\(652\) | −9.12797 | − | 15.8101i | −0.357479 | − | 0.619172i | ||||
\(653\) | − | 31.8472i | − | 1.24628i | −0.782112 | − | 0.623138i | \(-0.785857\pi\) | ||
0.782112 | − | 0.623138i | \(-0.214143\pi\) | |||||||
\(654\) | 1.16081 | − | 0.176934i | 0.0453915 | − | 0.00691866i | ||||
\(655\) | 22.1595 | 0.865843 | ||||||||
\(656\) | 5.46910 | − | 9.47275i | 0.213532 | − | 0.369849i | ||||
\(657\) | −7.91574 | − | 25.3632i | −0.308822 | − | 0.989514i | ||||
\(658\) | 0.595896 | + | 2.58465i | 0.0232305 | + | 0.100760i | ||||
\(659\) | 20.7307 | + | 11.9689i | 0.807552 | + | 0.466240i | 0.846105 | − | 0.533016i | \(-0.178942\pi\) |
−0.0385530 | + | 0.999257i | \(0.512275\pi\) | |||||||
\(660\) | −1.33817 | + | 0.203967i | −0.0520882 | + | 0.00793939i | ||||
\(661\) | 33.4391 | + | 19.3061i | 1.30063 | + | 0.750920i | 0.980512 | − | 0.196458i | \(-0.0629439\pi\) |
0.320119 | + | 0.947378i | \(0.396277\pi\) | |||||||
\(662\) | −17.5206 | − | 10.1155i | −0.680959 | − | 0.393152i | ||||
\(663\) | 27.1685 | − | 4.14107i | 1.05514 | − | 0.160826i | ||||
\(664\) | −3.52036 | − | 2.03248i | −0.136616 | − | 0.0788755i | ||||
\(665\) | −4.18442 | − | 18.1496i | −0.162265 | − | 0.703810i | ||||
\(666\) | −31.7855 | − | 7.14403i | −1.23167 | − | 0.276825i | ||||
\(667\) | 10.5443 | − | 18.2633i | 0.408278 | − | 0.707158i | ||||
\(668\) | 21.5021 | 0.831942 | ||||||||
\(669\) | −17.0788 | + | 2.60319i | −0.660305 | + | 0.100645i | ||||
\(670\) | − | 12.0588i | − | 0.465871i | ||||||
\(671\) | 0.833006 | + | 1.44281i | 0.0321579 | + | 0.0556990i | ||||
\(672\) | 3.59378 | + | 2.84337i | 0.138633 | + | 0.109685i | ||||
\(673\) | −7.83794 | + | 13.5757i | −0.302131 | + | 0.523305i | −0.976618 | − | 0.214981i | \(-0.931031\pi\) |
0.674488 | + | 0.738286i | \(0.264365\pi\) | |||||||
\(674\) | 10.8518 | + | 6.26528i | 0.417995 | + | 0.241330i | ||||
\(675\) | 2.27779 | + | 4.67030i | 0.0876720 | + | 0.179760i | ||||
\(676\) | 3.06762 | + | 5.31327i | 0.117985 | + | 0.204357i | ||||
\(677\) | −0.750432 | − | 1.29979i | −0.0288414 | − | 0.0499548i | 0.851244 | − | 0.524769i | \(-0.175848\pi\) |
−0.880086 | + | 0.474815i | \(0.842515\pi\) | |||||||
\(678\) | 0.802206 | + | 5.26306i | 0.0308085 | + | 0.202127i | ||||
\(679\) | −3.43471 | − | 14.8977i | −0.131812 | − | 0.571723i | ||||
\(680\) | −5.24457 | + | 3.02795i | −0.201120 | + | 0.116117i | ||||
\(681\) | −23.2064 | + | 18.5695i | −0.889269 | + | 0.711584i | ||||
\(682\) | 5.84624i | 0.223864i | ||||||||
\(683\) | 42.4921 | − | 24.5328i | 1.62591 | − | 0.938722i | 0.640619 | − | 0.767859i | \(-0.278678\pi\) |
0.985295 | − | 0.170862i | \(-0.0546554\pi\) | |||||||
\(684\) | −6.29198 | − | 20.1605i | −0.240580 | − | 0.770856i | ||||
\(685\) | − | 19.2002i | − | 0.733603i | ||||||
\(686\) | −6.65262 | + | 17.2842i | −0.253998 | + | 0.659913i | ||||
\(687\) | 13.9535 | + | 17.4378i | 0.532361 | + | 0.665293i | ||||
\(688\) | 8.90195 | 0.339384 | ||||||||
\(689\) | −12.5589 | + | 21.7527i | −0.478457 | + | 0.828712i | ||||
\(690\) | −7.43632 | − | 2.90432i | −0.283096 | − | 0.110566i | ||||
\(691\) | −14.7193 | + | 8.49821i | −0.559950 | + | 0.323287i | −0.753125 | − | 0.657877i | \(-0.771455\pi\) |
0.193175 | + | 0.981164i | \(0.438121\pi\) | |||||||
\(692\) | −6.62032 | −0.251667 | ||||||||
\(693\) | −3.13110 | − | 5.35487i | −0.118941 | − | 0.203415i | ||||
\(694\) | −0.288364 | −0.0109462 | ||||||||
\(695\) | −0.151908 | + | 0.0877042i | −0.00576220 | + | 0.00332681i | ||||
\(696\) | −1.19411 | − | 7.83425i | −0.0452627 | − | 0.296957i | ||||
\(697\) | −33.1203 | + | 57.3661i | −1.25452 | + | 2.17290i | ||||
\(698\) | 7.82317 | 0.296111 | ||||||||
\(699\) | 25.4581 | − | 3.88038i | 0.962915 | − | 0.146769i | ||||
\(700\) | −2.57812 | + | 0.594391i | −0.0974437 | + | 0.0224659i | ||||
\(701\) | − | 27.6593i | − | 1.04468i | −0.852738 | − | 0.522338i | \(-0.825060\pi\) | ||
0.852738 | − | 0.522338i | \(-0.174940\pi\) | |||||||
\(702\) | 13.5811 | + | 0.949850i | 0.512586 | + | 0.0358498i | ||||
\(703\) | −66.2069 | + | 38.2246i | −2.49704 | + | 1.44167i | ||||
\(704\) | − | 0.781517i | − | 0.0294545i | ||||||
\(705\) | −1.61745 | − | 0.631711i | −0.0609168 | − | 0.0237916i | ||||
\(706\) | −3.67991 | + | 2.12459i | −0.138495 | + | 0.0799602i | ||||
\(707\) | −1.80162 | − | 1.93317i | −0.0677571 | − | 0.0727043i | ||||
\(708\) | 4.25937 | + | 1.66354i | 0.160077 | + | 0.0625195i | ||||
\(709\) | 14.5417 | + | 25.1870i | 0.546125 | + | 0.945917i | 0.998535 | + | 0.0541066i | \(0.0172311\pi\) |
−0.452410 | + | 0.891810i | \(0.649436\pi\) | |||||||
\(710\) | −5.06002 | − | 8.76422i | −0.189899 | − | 0.328915i | ||||
\(711\) | −45.6397 | + | 14.2439i | −1.71162 | + | 0.534189i | ||||
\(712\) | −6.56320 | − | 3.78927i | −0.245966 | − | 0.142009i | ||||
\(713\) | −17.2398 | + | 29.8603i | −0.645637 | + | 1.11828i | ||||
\(714\) | −21.7636 | − | 17.2192i | −0.814482 | − | 0.644411i | ||||
\(715\) | −1.02381 | − | 1.77330i | −0.0382885 | − | 0.0663176i | ||||
\(716\) | 10.3857i | 0.388131i | ||||||||
\(717\) | 1.33966 | − | 3.43012i | 0.0500306 | − | 0.128100i | ||||
\(718\) | −11.2236 | −0.418862 | ||||||||
\(719\) | 19.0668 | − | 33.0246i | 0.711070 | − | 1.23161i | −0.253385 | − | 0.967365i | \(-0.581544\pi\) |
0.964456 | − | 0.264245i | \(-0.0851226\pi\) | |||||||
\(720\) | −2.86377 | + | 0.893768i | −0.106726 | + | 0.0333088i | ||||
\(721\) | −11.3684 | + | 10.5949i | −0.423383 | + | 0.394573i | ||||
\(722\) | −26.4652 | − | 15.2797i | −0.984933 | − | 0.568651i | ||||
\(723\) | −19.9597 | − | 24.9438i | −0.742310 | − | 0.927668i | ||||
\(724\) | 0.664089 | + | 0.383412i | 0.0246807 | + | 0.0142494i | ||||
\(725\) | 3.96237 | + | 2.28767i | 0.147159 | + | 0.0849621i | ||||
\(726\) | 6.54641 | − | 16.7617i | 0.242960 | − | 0.622083i | ||||
\(727\) | −9.20054 | − | 5.31193i | −0.341229 | − | 0.197009i | 0.319586 | − | 0.947557i | \(-0.396456\pi\) |
−0.660815 | + | 0.750548i | \(0.729789\pi\) | |||||||
\(728\) | −2.02872 | + | 6.62855i | −0.0751895 | + | 0.245670i | ||||
\(729\) | −16.6234 | + | 21.2759i | −0.615681 | + | 0.787996i | ||||
\(730\) | −4.42830 | + | 7.67003i | −0.163899 | + | 0.283881i | ||||
\(731\) | −53.9094 | −1.99391 | ||||||||
\(732\) | 2.30691 | + | 2.88296i | 0.0852660 | + | 0.106557i | ||||
\(733\) | 3.60653i | 0.133210i | 0.997779 | + | 0.0666051i | \(0.0212168\pi\) | ||||
−0.997779 | + | 0.0666051i | \(0.978783\pi\) | |||||||
\(734\) | −3.31715 | − | 5.74548i | −0.122438 | − | 0.212070i | ||||
\(735\) | −6.89032 | − | 9.97614i | −0.254153 | − | 0.367976i | ||||
\(736\) | 2.30460 | − | 3.99168i | 0.0849485 | − | 0.147135i | ||||
\(737\) | −8.16154 | − | 4.71207i | −0.300634 | − | 0.173571i | ||||
\(738\) | −22.2397 | + | 24.1287i | −0.818654 | + | 0.888189i | ||||
\(739\) | −5.13310 | − | 8.89079i | −0.188824 | − | 0.327053i | 0.756034 | − | 0.654532i | \(-0.227134\pi\) |
−0.944858 | + | 0.327479i | \(0.893801\pi\) | |||||||
\(740\) | 5.42975 | + | 9.40460i | 0.199602 | + | 0.345720i | ||||
\(741\) | 24.9445 | − | 19.9603i | 0.916358 | − | 0.733260i | ||||
\(742\) | 24.7157 | − | 5.69826i | 0.907341 | − | 0.209190i | ||||
\(743\) | 35.2305 | − | 20.3403i | 1.29248 | − | 0.746214i | 0.313388 | − | 0.949625i | \(-0.398536\pi\) |
0.979093 | + | 0.203411i | \(0.0652027\pi\) | |||||||
\(744\) | 1.95236 | + | 12.8089i | 0.0715769 | + | 0.469597i | ||||
\(745\) | 1.23022i | 0.0450718i | ||||||||
\(746\) | 26.3293 | − | 15.2013i | 0.963986 | − | 0.556557i | ||||
\(747\) | 8.96694 | + | 8.26494i | 0.328083 | + | 0.302398i | ||||
\(748\) | 4.73279i | 0.173048i | ||||||||
\(749\) | −2.89694 | − | 12.5652i | −0.105852 | − | 0.459122i | ||||
\(750\) | 0.630115 | − | 1.61337i | 0.0230085 | − | 0.0589119i | ||||
\(751\) | −22.2824 | −0.813095 | −0.406547 | − | 0.913630i | \(-0.633267\pi\) | ||||
−0.406547 | + | 0.913630i | \(0.633267\pi\) | |||||||
\(752\) | 0.501266 | − | 0.868218i | 0.0182793 | − | 0.0316607i | ||||
\(753\) | 19.5971 | − | 15.6814i | 0.714160 | − | 0.571463i | ||||
\(754\) | 10.3817 | − | 5.99387i | 0.378078 | − | 0.218284i | ||||
\(755\) | 1.87265 | 0.0681526 | ||||||||
\(756\) | −8.64839 | − | 10.6867i | −0.314539 | − | 0.388671i | ||||
\(757\) | 40.9255 | 1.48746 | 0.743732 | − | 0.668478i | \(-0.233054\pi\) | ||||
0.743732 | + | 0.668478i | \(0.233054\pi\) | |||||||
\(758\) | 6.50056 | − | 3.75310i | 0.236111 | − | 0.136319i | ||||
\(759\) | −4.87149 | + | 3.89811i | −0.176824 | + | 0.141493i | ||||
\(760\) | −3.51992 | + | 6.09668i | −0.127681 | + | 0.221150i | ||||
\(761\) | −29.3512 | −1.06398 | −0.531990 | − | 0.846750i | \(-0.678556\pi\) | ||||
−0.531990 | + | 0.846750i | \(0.678556\pi\) | |||||||
\(762\) | −0.252827 | + | 0.647346i | −0.00915894 | + | 0.0234509i | ||||
\(763\) | 0.524928 | − | 1.71512i | 0.0190037 | − | 0.0620916i | ||||
\(764\) | 13.5359i | 0.489711i | ||||||||
\(765\) | 17.3427 | − | 5.41257i | 0.627027 | − | 0.195692i | ||||
\(766\) | 3.61841 | − | 2.08909i | 0.130738 | − | 0.0754819i | ||||
\(767\) | 6.91712i | 0.249763i | ||||||||
\(768\) | −0.260988 | − | 1.71227i | −0.00941761 | − | 0.0617864i | ||||
\(769\) | −31.8034 | + | 18.3617i | −1.14686 | + | 0.662141i | −0.948120 | − | 0.317912i | \(-0.897018\pi\) |
−0.198741 | + | 0.980052i | \(0.563685\pi\) | |||||||
\(770\) | −0.605130 | + | 1.97717i | −0.0218074 | + | 0.0712522i | ||||
\(771\) | 9.22143 | − | 7.37889i | 0.332102 | − | 0.265744i | ||||
\(772\) | −4.69750 | − | 8.13632i | −0.169067 | − | 0.292832i | ||||
\(773\) | 16.9345 | + | 29.3314i | 0.609091 | + | 1.05498i | 0.991391 | + | 0.130938i | \(0.0417990\pi\) |
−0.382299 | + | 0.924039i | \(0.624868\pi\) | |||||||
\(774\) | −26.0559 | − | 5.85624i | −0.936558 | − | 0.210498i | ||||
\(775\) | −6.47842 | − | 3.74031i | −0.232712 | − | 0.134356i | ||||
\(776\) | −2.88927 | + | 5.00436i | −0.103719 | + | 0.179646i | ||||
\(777\) | −30.8776 | + | 39.0266i | −1.10773 | + | 1.40007i | ||||
\(778\) | 7.12437 | + | 12.3398i | 0.255421 | + | 0.442402i | ||||
\(779\) | 77.0032i | 2.75892i | ||||||||
\(780\) | −2.83533 | − | 3.54333i | −0.101521 | − | 0.126871i | ||||
\(781\) | −7.90899 | −0.283006 | ||||||||
\(782\) | −13.9564 | + | 24.1732i | −0.499080 | + | 0.864433i | ||||
\(783\) | −1.65869 | + | 23.7163i | −0.0592769 | + | 0.847550i | ||||
\(784\) | 6.29340 | − | 3.06482i | 0.224764 | − | 0.109458i | ||||
\(785\) | 5.99822 | + | 3.46308i | 0.214086 | + | 0.123602i | ||||
\(786\) | 13.9630 | − | 35.7514i | 0.498045 | − | 1.27521i | ||||
\(787\) | −2.83010 | − | 1.63396i | −0.100882 | − | 0.0582443i | 0.448710 | − | 0.893677i | \(-0.351884\pi\) |
−0.549592 | + | 0.835433i | \(0.685217\pi\) | |||||||
\(788\) | 10.3986 | + | 6.00362i | 0.370434 | + | 0.213870i | ||||
\(789\) | 20.0880 | + | 25.1041i | 0.715153 | + | 0.893730i | ||||
\(790\) | 13.8018 | + | 7.96847i | 0.491046 | + | 0.283505i | ||||
\(791\) | 7.77625 | + | 2.37999i | 0.276492 | + | 0.0846227i | ||||
\(792\) | −0.514128 | + | 2.28748i | −0.0182688 | + | 0.0812822i | ||||
\(793\) | −2.79269 | + | 4.83708i | −0.0991714 | + | 0.171770i | ||||
\(794\) | −17.5009 | −0.621084 | ||||||||
\(795\) | −6.04073 | + | 15.4669i | −0.214243 | + | 0.548554i | ||||
\(796\) | − | 4.36446i | − | 0.154694i | ||||||
\(797\) | 13.7568 | + | 23.8275i | 0.487292 | + | 0.844014i | 0.999893 | − | 0.0146125i | \(-0.00465148\pi\) |
−0.512601 | + | 0.858627i | \(0.671318\pi\) | |||||||
\(798\) | −31.9186 | − | 4.68529i | −1.12991 | − | 0.165858i | ||||
\(799\) | −3.03562 | + | 5.25785i | −0.107393 | + | 0.186009i | ||||
\(800\) | 0.866025 | + | 0.500000i | 0.0306186 | + | 0.0176777i | ||||
\(801\) | 16.7176 | + | 15.4088i | 0.590686 | + | 0.544443i | ||||
\(802\) | 6.03677 | + | 10.4560i | 0.213166 | + | 0.369214i | ||||
\(803\) | 3.46079 | + | 5.99426i | 0.122129 | + | 0.211533i | ||||
\(804\) | −19.4553 | − | 7.59842i | −0.686134 | − | 0.267976i | ||||
\(805\) | −8.92119 | + | 8.31414i | −0.314431 | + | 0.293035i | ||||
\(806\) | −16.9739 | + | 9.79988i | −0.597880 | + | 0.345186i | ||||
\(807\) | 2.08767 | + | 0.815359i | 0.0734895 | + | 0.0287020i | ||||
\(808\) | 0.998784i | 0.0351371i | ||||||||
\(809\) | 6.97997 | − | 4.02989i | 0.245403 | − | 0.141683i | −0.372255 | − | 0.928131i | \(-0.621415\pi\) |
0.617657 | + | 0.786447i | \(0.288082\pi\) | |||||||
\(810\) | 8.97018 | − | 0.732082i | 0.315180 | − | 0.0257228i | ||||
\(811\) | − | 22.0290i | − | 0.773544i | −0.922175 | − | 0.386772i | \(-0.873590\pi\) | ||
0.922175 | − | 0.386772i | \(-0.126410\pi\) | |||||||
\(812\) | −11.5752 | − | 3.54270i | −0.406211 | − | 0.124324i | ||||
\(813\) | 47.3154 | − | 7.21191i | 1.65942 | − | 0.252933i | ||||
\(814\) | 8.48688 | 0.297465 | ||||||||
\(815\) | 9.12797 | − | 15.8101i | 0.319739 | − | 0.553804i | ||||
\(816\) | 1.58052 | + | 10.3694i | 0.0553293 | + | 0.363001i | ||||
\(817\) | −54.2724 | + | 31.3342i | −1.89875 | + | 1.09624i | ||||
\(818\) | 35.1360 | 1.22850 | ||||||||
\(819\) | 10.2987 | − | 18.0670i | 0.359865 | − | 0.631313i | ||||
\(820\) | 10.9382 | 0.381978 | ||||||||
\(821\) | −25.5537 | + | 14.7535i | −0.891832 | + | 0.514899i | −0.874541 | − | 0.484951i | \(-0.838837\pi\) |
−0.0172906 | + | 0.999851i | \(0.505504\pi\) | |||||||
\(822\) | −30.9770 | − | 12.0984i | −1.08045 | − | 0.421979i | ||||
\(823\) | −12.6232 | + | 21.8640i | −0.440017 | + | 0.762132i | −0.997690 | − | 0.0679284i | \(-0.978361\pi\) |
0.557673 | + | 0.830061i | \(0.311694\pi\) | |||||||
\(824\) | 5.87358 | 0.204616 | ||||||||
\(825\) | −0.845726 | − | 1.05691i | −0.0294444 | − | 0.0367968i | ||||
\(826\) | 5.10988 | − | 4.76217i | 0.177795 | − | 0.165697i | ||||
\(827\) | − | 30.4760i | − | 1.05975i | −0.848075 | − | 0.529877i | \(-0.822238\pi\) | ||
0.848075 | − | 0.529877i | \(-0.177762\pi\) | |||||||
\(828\) | −9.37147 | + | 10.1675i | −0.325681 | + | 0.353344i | ||||
\(829\) | −29.4517 | + | 17.0040i | −1.02290 | + | 0.590572i | −0.914943 | − | 0.403584i | \(-0.867764\pi\) |
−0.107958 | + | 0.994156i | \(0.534431\pi\) | |||||||
\(830\) | − | 4.06496i | − | 0.141097i | ||||||
\(831\) | 33.0694 | − | 26.4618i | 1.14716 | − | 0.917949i | ||||
\(832\) | 2.26905 | − | 1.31003i | 0.0786650 | − | 0.0454173i | ||||
\(833\) | −38.1122 | + | 18.5603i | −1.32051 | + | 0.643075i | ||||
\(834\) | 0.0457795 | + | 0.300347i | 0.00158522 | + | 0.0104002i | ||||
\(835\) | 10.7511 | + | 18.6214i | 0.372056 | + | 0.644419i | ||||
\(836\) | 2.75088 | + | 4.76466i | 0.0951411 | + | 0.164789i | ||||
\(837\) | 2.71194 | − | 38.7758i | 0.0937384 | − | 1.34029i | ||||
\(838\) | 2.08178 | + | 1.20192i | 0.0719140 | + | 0.0415196i | ||||
\(839\) | −11.5670 | + | 20.0346i | −0.399336 | + | 0.691670i | −0.993644 | − | 0.112567i | \(-0.964093\pi\) |
0.594308 | + | 0.804237i | \(0.297426\pi\) | |||||||
\(840\) | −0.665540 | + | 4.53399i | −0.0229633 | + | 0.156437i | ||||
\(841\) | −4.03309 | − | 6.98552i | −0.139072 | − | 0.240880i | ||||
\(842\) | 1.33543i | 0.0460220i | ||||||||
\(843\) | −4.60647 | + | 0.702128i | −0.158655 | + | 0.0241826i | ||||
\(844\) | −11.6558 | −0.401210 | ||||||||
\(845\) | −3.06762 | + | 5.31327i | −0.105529 | + | 0.182782i | ||||
\(846\) | −2.03836 | + | 2.21150i | −0.0700804 | + | 0.0760328i | ||||
\(847\) | −18.7403 | − | 20.1086i | −0.643924 | − | 0.690939i | ||||
\(848\) | −8.30234 | − | 4.79336i | −0.285103 | − | 0.164605i | ||||
\(849\) | −12.2489 | + | 1.86701i | −0.420382 | + | 0.0640755i | ||||
\(850\) | −5.24457 | − | 3.02795i | −0.179887 | − | 0.103858i | ||||
\(851\) | 43.3476 | + | 25.0268i | 1.48594 | + | 0.857906i | ||||
\(852\) | −17.3283 | + | 2.64121i | −0.593658 | + | 0.0904865i | ||||
\(853\) | 19.2922 | + | 11.1383i | 0.660551 | + | 0.381369i | 0.792487 | − | 0.609889i | \(-0.208786\pi\) |
−0.131936 | + | 0.991258i | \(0.542119\pi\) | |||||||
\(854\) | 5.49595 | − | 1.26710i | 0.188068 | − | 0.0433594i | ||||
\(855\) | 14.3135 | − | 15.5293i | 0.489512 | − | 0.531090i | ||||
\(856\) | −2.43689 | + | 4.22082i | −0.0832913 | + | 0.144265i | ||||
\(857\) | 2.17164 | 0.0741817 | 0.0370908 | − | 0.999312i | \(-0.488191\pi\) | ||||
0.0370908 | + | 0.999312i | \(0.488191\pi\) | |||||||
\(858\) | −3.50610 | + | 0.534407i | −0.119696 | + | 0.0182444i | ||||
\(859\) | 3.62921i | 0.123827i | 0.998082 | + | 0.0619135i | \(0.0197203\pi\) | ||||
−0.998082 | + | 0.0619135i | \(0.980280\pi\) | |||||||
\(860\) | 4.45098 | + | 7.70932i | 0.151777 | + | 0.262886i | ||||
\(861\) | 18.4923 | + | 46.5893i | 0.630217 | + | 1.58776i | ||||
\(862\) | 15.9040 | − | 27.5465i | 0.541691 | − | 0.938237i | ||||
\(863\) | 16.4116 | + | 9.47522i | 0.558656 | + | 0.322540i | 0.752606 | − | 0.658471i | \(-0.228797\pi\) |
−0.193950 | + | 0.981011i | \(0.562130\pi\) | |||||||
\(864\) | −0.362528 | + | 5.18349i | −0.0123335 | + | 0.176346i | ||||
\(865\) | −3.31016 | − | 5.73336i | −0.112549 | − | 0.194940i | ||||
\(866\) | 16.5810 | + | 28.7192i | 0.563446 | + | 0.975917i | ||||
\(867\) | −5.13468 | − | 33.6872i | −0.174383 | − | 1.14408i | ||||
\(868\) | 18.9253 | + | 5.79226i | 0.642368 | + | 0.196602i | ||||
\(869\) | 10.7863 | − | 6.22749i | 0.365901 | − | 0.211253i | ||||
\(870\) | 6.18761 | − | 4.95126i | 0.209780 | − | 0.167863i | ||||
\(871\) | − | 31.5949i | − | 1.07055i | ||||||
\(872\) | −0.587111 | + | 0.338969i | −0.0198821 | + | 0.0114789i | ||||
\(873\) | 11.7490 | − | 12.7469i | 0.397643 | − | 0.431418i | ||||
\(874\) | 32.4480i | 1.09757i | ||||||||
\(875\) | −1.80382 | − | 1.93552i | −0.0609802 | − | 0.0654326i | ||||
\(876\) | 9.58425 | + | 11.9775i | 0.323822 | + | 0.404681i | ||||
\(877\) | 5.59790 | 0.189028 | 0.0945138 | − | 0.995524i | \(-0.469870\pi\) | ||||
0.0945138 | + | 0.995524i | \(0.469870\pi\) | |||||||
\(878\) | 14.2938 | − | 24.7576i | 0.482393 | − | 0.835529i | ||||
\(879\) | 8.56164 | + | 3.34382i | 0.288777 | + | 0.112784i | ||||
\(880\) | 0.676813 | − | 0.390758i | 0.0228154 | − | 0.0131725i | ||||
\(881\) | −39.1755 | −1.31985 | −0.659927 | − | 0.751330i | \(-0.729413\pi\) | ||||
−0.659927 | + | 0.751330i | \(0.729413\pi\) | |||||||
\(882\) | −20.4369 | + | 4.83051i | −0.688146 | + | 0.162652i | ||||
\(883\) | −30.6078 | −1.03003 | −0.515017 | − | 0.857180i | \(-0.672214\pi\) | ||||
−0.515017 | + | 0.857180i | \(0.672214\pi\) | |||||||
\(884\) | −13.7411 | + | 7.93344i | −0.462164 | + | 0.266831i | ||||
\(885\) | 0.689023 | + | 4.52049i | 0.0231612 | + | 0.151955i | ||||
\(886\) | 17.4839 | − | 30.2830i | 0.587382 | − | 1.01738i | ||||
\(887\) | 37.7239 | 1.26664 | 0.633322 | − | 0.773888i | \(-0.281691\pi\) | ||||
0.633322 | + | 0.773888i | \(0.281691\pi\) | |||||||
\(888\) | 18.5944 | − | 2.83420i | 0.623989 | − | 0.0951096i | ||||
\(889\) | 0.723762 | + | 0.776606i | 0.0242742 | + | 0.0260465i | ||||
\(890\) | − | 7.57854i | − | 0.254033i | ||||||
\(891\) | 3.00969 | − | 6.35720i | 0.100828 | − | 0.212974i | ||||
\(892\) | 8.63803 | − | 4.98717i | 0.289223 | − | 0.166983i | ||||
\(893\) | 7.05767i | 0.236176i | ||||||||
\(894\) | 1.98480 | + | 0.775181i | 0.0663816 | + | 0.0259259i | ||||
\(895\) | −8.99427 | + | 5.19284i | −0.300645 | + | 0.173578i | ||||
\(896\) | −2.52991 | − | 0.774302i | −0.0845184 | − | 0.0258676i | ||||
\(897\) | −19.4837 | − | 7.60952i | −0.650541 | − | 0.254075i | ||||
\(898\) | −6.30937 | − | 10.9281i | −0.210546 | − | 0.364677i | ||||
\(899\) | −17.1132 | − | 29.6410i | −0.570759 | − | 0.988583i | ||||
\(900\) | −2.20591 | − | 2.03321i | −0.0735304 | − | 0.0677738i | ||||
\(901\) | 50.2782 | + | 29.0281i | 1.67501 | + | 0.967066i | ||||
\(902\) | 4.27419 | − | 7.40311i | 0.142315 | − | 0.246497i | ||||
\(903\) | −25.3115 | + | 31.9917i | −0.842315 | + | 1.06462i | ||||
\(904\) | −1.53686 | − | 2.66192i | −0.0511153 | − | 0.0885342i | ||||
\(905\) | 0.766824i | 0.0254901i | ||||||||
\(906\) | 1.17998 | − | 3.02127i | 0.0392023 | − | 0.100375i | ||||
\(907\) | 0.665419 | 0.0220949 | 0.0110474 | − | 0.999939i | \(-0.496483\pi\) | ||||
0.0110474 | + | 0.999939i | \(0.496483\pi\) | |||||||
\(908\) | 8.57982 | − | 14.8607i | 0.284731 | − | 0.493169i | ||||
\(909\) | 0.657060 | − | 2.92342i | 0.0217933 | − | 0.0969638i | ||||
\(910\) | −6.75485 | + | 1.55735i | −0.223921 | + | 0.0516255i | ||||
\(911\) | 16.9363 | + | 9.77817i | 0.561124 | + | 0.323965i | 0.753597 | − | 0.657337i | \(-0.228317\pi\) |
−0.192472 | + | 0.981302i | \(0.561651\pi\) | |||||||
\(912\) | 7.61824 | + | 9.52054i | 0.252265 | + | 0.315257i | ||||
\(913\) | −2.75122 | − | 1.58842i | −0.0910521 | − | 0.0525689i | ||||
\(914\) | 26.2979 | + | 15.1831i | 0.869858 | + | 0.502213i | ||||
\(915\) | −1.34326 | + | 3.43933i | −0.0444068 | + | 0.113701i | ||||
\(916\) | −11.1667 | − | 6.44708i | −0.368957 | − | 0.213017i | ||||
\(917\) | −39.9717 | − | 42.8902i | −1.31998 | − | 1.41636i | ||||
\(918\) | 2.19544 | − | 31.3907i | 0.0724602 | − | 1.03605i | ||||
\(919\) | −0.579801 | + | 1.00424i | −0.0191259 | + | 0.0331270i | −0.875430 | − | 0.483345i | \(-0.839422\pi\) |
0.856304 | + | 0.516472i | \(0.172755\pi\) | |||||||
\(920\) | 4.60919 | 0.151961 | ||||||||
\(921\) | 30.9247 | + | 38.6467i | 1.01900 | + | 1.27345i | ||||
\(922\) | 1.54529i | 0.0508913i | ||||||||
\(923\) | −13.2576 | − | 22.9629i | −0.436380 | − | 0.755832i | ||||
\(924\) | 2.80860 | + | 2.22214i | 0.0923961 | + | 0.0731030i | ||||
\(925\) | −5.42975 | + | 9.40460i | −0.178529 | + | 0.309221i | ||||
\(926\) | 12.1503 | + | 7.01500i | 0.399285 | + | 0.230527i | ||||
\(927\) | −17.1919 | − | 3.86399i | −0.564654 | − | 0.126910i | ||||
\(928\) | 2.28767 | + | 3.96237i | 0.0750966 | + | 0.130071i | ||||
\(929\) | −13.2868 | − | 23.0135i | −0.435927 | − | 0.755048i | 0.561444 | − | 0.827515i | \(-0.310246\pi\) |
−0.997371 | + | 0.0724671i | \(0.976913\pi\) | |||||||
\(930\) | −10.1166 | + | 8.09524i | −0.331738 | + | 0.265453i | ||||
\(931\) | −27.5809 | + | 40.8375i | −0.903928 | + | 1.33840i | ||||
\(932\) | −12.8761 | + | 7.43401i | −0.421770 | + | 0.243509i | ||||
\(933\) | −7.39821 | − | 48.5376i | −0.242206 | − | 1.58905i | ||||
\(934\) | 10.5052i | 0.343740i | ||||||||
\(935\) | −4.09872 | + | 2.36639i | −0.134042 | + | 0.0773894i | ||||
\(936\) | −7.50328 | + | 2.34173i | −0.245252 | + | 0.0765419i | ||||
\(937\) | 23.9521i | 0.782482i | 0.920288 | + | 0.391241i | \(0.127954\pi\) | ||||
−0.920288 | + | 0.391241i | \(0.872046\pi\) | |||||||
\(938\) | −23.3400 | + | 21.7518i | −0.762079 | + | 0.710223i | ||||
\(939\) | −8.77242 | + | 22.4612i | −0.286277 | + | 0.732994i | ||||
\(940\) | 1.00253 | 0.0326990 | ||||||||
\(941\) | 21.6730 | − | 37.5387i | 0.706519 | − | 1.22373i | −0.259621 | − | 0.965711i | \(-0.583598\pi\) |
0.966140 | − | 0.258017i | \(-0.0830689\pi\) | |||||||
\(942\) | 9.36678 | − | 7.49520i | 0.305186 | − | 0.244207i | ||||
\(943\) | 43.6617 | − | 25.2081i | 1.42182 | − | 0.820889i | ||||
\(944\) | −2.64005 | −0.0859263 | ||||||||
\(945\) | 4.93075 | − | 12.8331i | 0.160397 | − | 0.417460i | ||||
\(946\) | 6.95703 | 0.226192 | ||||||||
\(947\) | −25.1709 | + | 14.5324i | −0.817944 | + | 0.472240i | −0.849707 | − | 0.527255i | \(-0.823221\pi\) |
0.0317631 | + | 0.999495i | \(0.489888\pi\) | |||||||
\(948\) | 21.5528 | − | 17.2463i | 0.700002 | − | 0.560134i | ||||
\(949\) | −11.6024 | + | 20.0960i | −0.376631 | + | 0.652344i | ||||
\(950\) | −7.03984 | −0.228403 | ||||||||
\(951\) | −4.08696 | + | 10.4644i | −0.132529 | + | 0.339331i | ||||
\(952\) | 15.3209 | + | 4.68910i | 0.496553 | + | 0.151975i | ||||
\(953\) | − | 11.6767i | − | 0.378247i | −0.981953 | − | 0.189123i | \(-0.939435\pi\) | ||
0.981953 | − | 0.189123i | \(-0.0605646\pi\) | |||||||
\(954\) | 21.1474 | + | 19.4918i | 0.684673 | + | 0.631072i | ||||
\(955\) | −11.7224 | + | 6.76794i | −0.379328 | + | 0.219005i | ||||
\(956\) | 2.12606i | 0.0687617i | ||||||||
\(957\) | −0.933219 | − | 6.12260i | −0.0301667 | − | 0.197916i | ||||
\(958\) | −8.46413 | + | 4.88677i | −0.273464 | + | 0.157884i | ||||
\(959\) | −37.1625 | + | 34.6337i | −1.20004 | + | 1.11838i | ||||
\(960\) | 1.35238 | − | 1.08216i | 0.0436479 | − | 0.0349266i | ||||
\(961\) | 12.4799 | + | 21.6158i | 0.402578 | + | 0.697285i | ||||
\(962\) | 14.2263 | + | 24.6407i | 0.458675 | + | 0.794448i | ||||
\(963\) | 9.90945 | − | 10.7511i | 0.319328 | − | 0.346451i | ||||
\(964\) | 15.9733 | + | 9.22217i | 0.514464 | + | 0.297026i | ||||
\(965\) | 4.69750 | − | 8.13632i | 0.151218 | − | 0.261917i | ||||
\(966\) | 7.79239 | + | 19.6320i | 0.250716 | + | 0.631650i | ||||
\(967\) | 7.59505 | + | 13.1550i | 0.244240 | + | 0.423037i | 0.961918 | − | 0.273339i | \(-0.0881280\pi\) |
−0.717677 | + | 0.696376i | \(0.754795\pi\) | |||||||
\(968\) | 10.3892i | 0.333923i | ||||||||
\(969\) | −46.1353 | − | 57.6555i | −1.48208 | − | 1.85216i | ||||
\(970\) | −5.77853 | −0.185538 | ||||||||
\(971\) | 21.6059 | − | 37.4226i | 0.693368 | − | 1.20095i | −0.277360 | − | 0.960766i | \(-0.589460\pi\) |
0.970728 | − | 0.240182i | \(-0.0772071\pi\) | |||||||
\(972\) | 4.47112 | − | 14.9335i | 0.143411 | − | 0.478992i | ||||
\(973\) | 0.443768 | + | 0.135819i | 0.0142265 | + | 0.00435416i | ||||
\(974\) | −0.718204 | − | 0.414656i | −0.0230128 | − | 0.0132864i | ||||
\(975\) | 1.65094 | − | 4.22714i | 0.0528725 | − | 0.135377i | ||||
\(976\) | −1.84617 | − | 1.06588i | −0.0590943 | − | 0.0341181i | ||||
\(977\) | 3.52150 | + | 2.03314i | 0.112663 | + | 0.0650459i | 0.555273 | − | 0.831668i | \(-0.312614\pi\) |
−0.442610 | + | 0.896714i | \(0.645947\pi\) | |||||||
\(978\) | −19.7559 | − | 24.6890i | −0.631723 | − | 0.789466i | ||||
\(979\) | −5.12925 | − | 2.96138i | −0.163932 | − | 0.0946460i | ||||
\(980\) | 5.80091 | + | 3.91783i | 0.185303 | + | 0.125151i | ||||
\(981\) | 1.94146 | − | 0.605918i | 0.0619859 | − | 0.0193455i | ||||
\(982\) | −12.3218 | + | 21.3419i | −0.393203 | + | 0.681048i | ||||
\(983\) | 36.3092 | 1.15808 | 0.579041 | − | 0.815298i | \(-0.303427\pi\) | ||||
0.579041 | + | 0.815298i | \(0.303427\pi\) | |||||||
\(984\) | 6.89232 | − | 17.6473i | 0.219719 | − | 0.562576i | ||||
\(985\) | 12.0072i | 0.382582i | ||||||||
\(986\) | −13.8539 | − | 23.9957i | −0.441199 | − | 0.764179i | ||||
\(987\) | 1.69490 | + | 4.27011i | 0.0539493 | + | 0.135919i | ||||
\(988\) | −9.22244 | + | 15.9737i | −0.293405 | + | 0.508192i | ||||
\(989\) | 35.5337 | + | 20.5154i | 1.12991 | + | 0.652352i | ||||
\(990\) | −2.23808 | + | 0.698494i | −0.0711310 | + | 0.0221996i | ||||
\(991\) | 22.0204 | + | 38.1404i | 0.699501 | + | 1.21157i | 0.968640 | + | 0.248469i | \(0.0799275\pi\) |
−0.269139 | + | 0.963101i | \(0.586739\pi\) | |||||||
\(992\) | −3.74031 | − | 6.47842i | −0.118755 | − | 0.205690i | ||||
\(993\) | −32.6402 | − | 12.7479i | −1.03581 | − | 0.404543i | ||||
\(994\) | −7.83597 | + | 25.6028i | −0.248542 | + | 0.812073i | ||||
\(995\) | 3.77973 | − | 2.18223i | 0.119826 | − | 0.0691814i | ||||
\(996\) | −6.55828 | − | 2.56139i | −0.207807 | − | 0.0811608i | ||||
\(997\) | 4.71325i | 0.149270i | 0.997211 | + | 0.0746350i | \(0.0237792\pi\) | ||||
−0.997211 | + | 0.0746350i | \(0.976221\pi\) | |||||||
\(998\) | −25.1555 | + | 14.5236i | −0.796285 | + | 0.459735i | ||||
\(999\) | −56.2901 | − | 3.93688i | −1.78094 | − | 0.124557i |
(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 | 630.2.t.c.551.2 | yes | 32 | |
3.2 | odd | 2 | 1890.2.t.c.1601.14 | 32 | |||
7.3 | odd | 6 | 630.2.bk.c.101.2 | yes | 32 | ||
9.4 | even | 3 | 1890.2.bk.c.341.7 | 32 | |||
9.5 | odd | 6 | 630.2.bk.c.131.10 | yes | 32 | ||
21.17 | even | 6 | 1890.2.bk.c.521.7 | 32 | |||
63.31 | odd | 6 | 1890.2.t.c.1151.14 | 32 | |||
63.59 | even | 6 | inner | 630.2.t.c.311.2 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.t.c.311.2 | ✓ | 32 | 63.59 | even | 6 | inner | |
630.2.t.c.551.2 | yes | 32 | 1.1 | even | 1 | trivial | |
630.2.bk.c.101.2 | yes | 32 | 7.3 | odd | 6 | ||
630.2.bk.c.131.10 | yes | 32 | 9.5 | odd | 6 | ||
1890.2.t.c.1151.14 | 32 | 63.31 | odd | 6 | |||
1890.2.t.c.1601.14 | 32 | 3.2 | odd | 2 | |||
1890.2.bk.c.341.7 | 32 | 9.4 | even | 3 | |||
1890.2.bk.c.521.7 | 32 | 21.17 | even | 6 |