Properties

Label 630.2.r.a.59.4
Level $630$
Weight $2$
Character 630.59
Analytic conductor $5.031$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [630,2,Mod(59,630)]
 
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, 3, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("630.59");
 
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.r (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: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 59.4
Character \(\chi\) \(=\) 630.59
Dual form 630.2.r.a.299.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.51613 - 0.837458i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.23138 - 0.144779i) q^{5} +(1.48333 - 0.894282i) q^{6} +(2.37108 - 1.17388i) q^{7} +1.00000 q^{8} +(1.59733 + 2.53940i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.51613 - 0.837458i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(2.23138 - 0.144779i) q^{5} +(1.48333 - 0.894282i) q^{6} +(2.37108 - 1.17388i) q^{7} +1.00000 q^{8} +(1.59733 + 2.53940i) q^{9} +(-0.990306 + 2.00482i) q^{10} -0.745990i q^{11} +(0.0328072 + 1.73174i) q^{12} +(-1.67087 + 2.89402i) q^{13} +(-0.168925 + 2.64035i) q^{14} +(-3.50431 - 1.64918i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-4.20138 - 2.42567i) q^{17} +(-2.99785 + 0.113627i) q^{18} +(6.50055 - 3.75309i) q^{19} +(-1.24107 - 1.86004i) q^{20} +(-4.57795 - 0.205912i) q^{21} +(0.646046 + 0.372995i) q^{22} +1.86701 q^{23} +(-1.51613 - 0.837458i) q^{24} +(4.95808 - 0.646111i) q^{25} +(-1.67087 - 2.89402i) q^{26} +(-0.295123 - 5.18776i) q^{27} +(-2.20215 - 1.46647i) q^{28} +(-0.644047 + 0.371841i) q^{29} +(3.18039 - 2.21023i) q^{30} +(-4.33139 + 2.50073i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.624735 + 1.13102i) q^{33} +(4.20138 - 2.42567i) q^{34} +(5.12081 - 2.96266i) q^{35} +(1.40052 - 2.65303i) q^{36} +(5.78366 - 3.33920i) q^{37} +7.50618i q^{38} +(4.95688 - 2.98845i) q^{39} +(2.23138 - 0.144779i) q^{40} +(-0.849794 + 1.47189i) q^{41} +(2.46730 - 3.86166i) q^{42} +(7.64047 - 4.41123i) q^{43} +(-0.646046 + 0.372995i) q^{44} +(3.93189 + 5.43509i) q^{45} +(-0.933507 + 1.61688i) q^{46} +(10.0544 + 5.80494i) q^{47} +(1.48333 - 0.894282i) q^{48} +(4.24400 - 5.56673i) q^{49} +(-1.91949 + 4.61688i) q^{50} +(4.33846 + 7.19612i) q^{51} +3.34173 q^{52} +(-2.94339 + 5.09811i) q^{53} +(4.64030 + 2.33830i) q^{54} +(-0.108003 - 1.66458i) q^{55} +(2.37108 - 1.17388i) q^{56} +(-12.9988 + 0.246257i) q^{57} -0.743681i q^{58} +(-2.33158 - 4.03841i) q^{59} +(0.323924 + 3.85941i) q^{60} +(-1.48312 - 0.856279i) q^{61} -5.00146i q^{62} +(6.76834 + 4.14603i) q^{63} +1.00000 q^{64} +(-3.30934 + 6.69956i) q^{65} +(-0.667125 - 1.10655i) q^{66} +(3.92576 - 2.26654i) q^{67} +4.85133i q^{68} +(-2.83065 - 1.56355i) q^{69} +(0.00533076 + 5.91608i) q^{70} -4.17217i q^{71} +(1.59733 + 2.53940i) q^{72} +(5.10736 - 8.84620i) q^{73} +6.67839i q^{74} +(-8.05820 - 3.17259i) q^{75} +(-6.50055 - 3.75309i) q^{76} +(-0.875705 - 1.76880i) q^{77} +(0.109633 + 5.78701i) q^{78} +(3.10806 - 5.38333i) q^{79} +(-0.990306 + 2.00482i) q^{80} +(-3.89709 + 8.11250i) q^{81} +(-0.849794 - 1.47189i) q^{82} +(2.26849 - 1.30971i) q^{83} +(2.11065 + 4.06757i) q^{84} +(-9.72604 - 4.80431i) q^{85} +8.82245i q^{86} +(1.28786 - 0.0243981i) q^{87} -0.745990i q^{88} +(-7.58595 - 13.1393i) q^{89} +(-6.67287 + 0.687569i) q^{90} +(-0.564503 + 8.82335i) q^{91} +(-0.933507 - 1.61688i) q^{92} +(8.66124 - 0.164084i) q^{93} +(-10.0544 + 5.80494i) q^{94} +(13.9618 - 9.31570i) q^{95} +(0.0328072 + 1.73174i) q^{96} +(-2.32004 - 4.01843i) q^{97} +(2.69893 + 6.45877i) q^{98} +(1.89437 - 1.19159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q - 24 q^{2} + 3 q^{3} - 24 q^{4} + 48 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q - 24 q^{2} + 3 q^{3} - 24 q^{4} + 48 q^{8} + 3 q^{9} - 3 q^{12} + 3 q^{14} - 4 q^{15} - 24 q^{16} - 3 q^{18} + 5 q^{21} + 6 q^{22} - 6 q^{23} + 3 q^{24} - 3 q^{28} - 3 q^{29} + 5 q^{30} - 24 q^{32} + 24 q^{33} + 18 q^{35} + 3 q^{41} + 8 q^{42} - 6 q^{44} + 9 q^{45} + 3 q^{46} - 6 q^{49} - 18 q^{50} - 8 q^{51} + 42 q^{55} - 22 q^{57} - q^{60} - 9 q^{61} - 10 q^{63} + 48 q^{64} - 33 q^{65} - 24 q^{66} - 33 q^{67} + 42 q^{69} - 6 q^{70} + 3 q^{72} + 18 q^{73} + 9 q^{75} + 6 q^{77} - 18 q^{78} - 37 q^{81} + 3 q^{82} - 9 q^{83} - 13 q^{84} - 33 q^{85} - 18 q^{87} + 33 q^{89} + 39 q^{90} + 3 q^{92} - 32 q^{93} + 33 q^{95} - 3 q^{96} + 24 q^{97} + 3 q^{98} - 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −1.51613 0.837458i −0.875341 0.483507i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 2.23138 0.144779i 0.997902 0.0647470i
\(6\) 1.48333 0.894282i 0.605566 0.365089i
\(7\) 2.37108 1.17388i 0.896182 0.443686i
\(8\) 1.00000 0.353553
\(9\) 1.59733 + 2.53940i 0.532442 + 0.846466i
\(10\) −0.990306 + 2.00482i −0.313162 + 0.633979i
\(11\) 0.745990i 0.224924i −0.993656 0.112462i \(-0.964126\pi\)
0.993656 0.112462i \(-0.0358737\pi\)
\(12\) 0.0328072 + 1.73174i 0.00947061 + 0.499910i
\(13\) −1.67087 + 2.89402i −0.463415 + 0.802658i −0.999128 0.0417418i \(-0.986709\pi\)
0.535714 + 0.844400i \(0.320043\pi\)
\(14\) −0.168925 + 2.64035i −0.0451472 + 0.705664i
\(15\) −3.50431 1.64918i −0.904810 0.425817i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −4.20138 2.42567i −1.01898 0.588311i −0.105175 0.994454i \(-0.533540\pi\)
−0.913810 + 0.406143i \(0.866873\pi\)
\(18\) −2.99785 + 0.113627i −0.706599 + 0.0267821i
\(19\) 6.50055 3.75309i 1.49133 0.861018i 0.491377 0.870947i \(-0.336494\pi\)
0.999951 + 0.00992860i \(0.00316042\pi\)
\(20\) −1.24107 1.86004i −0.277512 0.415917i
\(21\) −4.57795 0.205912i −0.998990 0.0449337i
\(22\) 0.646046 + 0.372995i 0.137738 + 0.0795228i
\(23\) 1.86701 0.389299 0.194650 0.980873i \(-0.437643\pi\)
0.194650 + 0.980873i \(0.437643\pi\)
\(24\) −1.51613 0.837458i −0.309480 0.170945i
\(25\) 4.95808 0.646111i 0.991616 0.129222i
\(26\) −1.67087 2.89402i −0.327684 0.567565i
\(27\) −0.295123 5.18776i −0.0567965 0.998386i
\(28\) −2.20215 1.46647i −0.416167 0.277137i
\(29\) −0.644047 + 0.371841i −0.119597 + 0.0690491i −0.558605 0.829434i \(-0.688663\pi\)
0.439008 + 0.898483i \(0.355330\pi\)
\(30\) 3.18039 2.21023i 0.580657 0.403532i
\(31\) −4.33139 + 2.50073i −0.777941 + 0.449145i −0.835700 0.549186i \(-0.814938\pi\)
0.0577588 + 0.998331i \(0.481605\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −0.624735 + 1.13102i −0.108752 + 0.196885i
\(34\) 4.20138 2.42567i 0.720531 0.415999i
\(35\) 5.12081 2.96266i 0.865575 0.500780i
\(36\) 1.40052 2.65303i 0.233420 0.442171i
\(37\) 5.78366 3.33920i 0.950827 0.548960i 0.0574896 0.998346i \(-0.481690\pi\)
0.893338 + 0.449386i \(0.148357\pi\)
\(38\) 7.50618i 1.21766i
\(39\) 4.95688 2.98845i 0.793736 0.478535i
\(40\) 2.23138 0.144779i 0.352812 0.0228915i
\(41\) −0.849794 + 1.47189i −0.132716 + 0.229870i −0.924722 0.380642i \(-0.875703\pi\)
0.792007 + 0.610512i \(0.209036\pi\)
\(42\) 2.46730 3.86166i 0.380712 0.595867i
\(43\) 7.64047 4.41123i 1.16516 0.672706i 0.212625 0.977134i \(-0.431799\pi\)
0.952535 + 0.304428i \(0.0984654\pi\)
\(44\) −0.646046 + 0.372995i −0.0973951 + 0.0562311i
\(45\) 3.93189 + 5.43509i 0.586131 + 0.810216i
\(46\) −0.933507 + 1.61688i −0.137638 + 0.238396i
\(47\) 10.0544 + 5.80494i 1.46659 + 0.846737i 0.999302 0.0373667i \(-0.0118970\pi\)
0.467290 + 0.884104i \(0.345230\pi\)
\(48\) 1.48333 0.894282i 0.214100 0.129078i
\(49\) 4.24400 5.56673i 0.606285 0.795247i
\(50\) −1.91949 + 4.61688i −0.271457 + 0.652925i
\(51\) 4.33846 + 7.19612i 0.607506 + 1.00766i
\(52\) 3.34173 0.463415
\(53\) −2.94339 + 5.09811i −0.404306 + 0.700279i −0.994240 0.107172i \(-0.965820\pi\)
0.589934 + 0.807451i \(0.299154\pi\)
\(54\) 4.64030 + 2.33830i 0.631465 + 0.318202i
\(55\) −0.108003 1.66458i −0.0145632 0.224452i
\(56\) 2.37108 1.17388i 0.316848 0.156867i
\(57\) −12.9988 + 0.246257i −1.72173 + 0.0326175i
\(58\) 0.743681i 0.0976501i
\(59\) −2.33158 4.03841i −0.303546 0.525757i 0.673391 0.739287i \(-0.264837\pi\)
−0.976936 + 0.213530i \(0.931504\pi\)
\(60\) 0.323924 + 3.85941i 0.0418184 + 0.498248i
\(61\) −1.48312 0.856279i −0.189894 0.109635i 0.402039 0.915623i \(-0.368302\pi\)
−0.591933 + 0.805987i \(0.701635\pi\)
\(62\) 5.00146i 0.635187i
\(63\) 6.76834 + 4.14603i 0.852731 + 0.522351i
\(64\) 1.00000 0.125000
\(65\) −3.30934 + 6.69956i −0.410473 + 0.830978i
\(66\) −0.667125 1.10655i −0.0821174 0.136207i
\(67\) 3.92576 2.26654i 0.479608 0.276902i −0.240645 0.970613i \(-0.577359\pi\)
0.720253 + 0.693711i \(0.244026\pi\)
\(68\) 4.85133i 0.588311i
\(69\) −2.83065 1.56355i −0.340770 0.188229i
\(70\) 0.00533076 + 5.91608i 0.000637148 + 0.707106i
\(71\) 4.17217i 0.495145i −0.968869 0.247573i \(-0.920367\pi\)
0.968869 0.247573i \(-0.0796329\pi\)
\(72\) 1.59733 + 2.53940i 0.188247 + 0.299271i
\(73\) 5.10736 8.84620i 0.597771 1.03537i −0.395378 0.918518i \(-0.629387\pi\)
0.993149 0.116851i \(-0.0372802\pi\)
\(74\) 6.67839i 0.776347i
\(75\) −8.05820 3.17259i −0.930481 0.366339i
\(76\) −6.50055 3.75309i −0.745664 0.430509i
\(77\) −0.875705 1.76880i −0.0997958 0.201573i
\(78\) 0.109633 + 5.78701i 0.0124135 + 0.655250i
\(79\) 3.10806 5.38333i 0.349685 0.605672i −0.636509 0.771269i \(-0.719622\pi\)
0.986193 + 0.165598i \(0.0529554\pi\)
\(80\) −0.990306 + 2.00482i −0.110720 + 0.224145i
\(81\) −3.89709 + 8.11250i −0.433010 + 0.901389i
\(82\) −0.849794 1.47189i −0.0938441 0.162543i
\(83\) 2.26849 1.30971i 0.248999 0.143760i −0.370307 0.928910i \(-0.620747\pi\)
0.619306 + 0.785150i \(0.287414\pi\)
\(84\) 2.11065 + 4.06757i 0.230291 + 0.443809i
\(85\) −9.72604 4.80431i −1.05494 0.521100i
\(86\) 8.82245i 0.951349i
\(87\) 1.28786 0.0243981i 0.138073 0.00261575i
\(88\) 0.745990i 0.0795228i
\(89\) −7.58595 13.1393i −0.804109 1.39276i −0.916891 0.399138i \(-0.869309\pi\)
0.112782 0.993620i \(-0.464024\pi\)
\(90\) −6.67287 + 0.687569i −0.703383 + 0.0724761i
\(91\) −0.564503 + 8.82335i −0.0591760 + 0.924938i
\(92\) −0.933507 1.61688i −0.0973249 0.168572i
\(93\) 8.66124 0.164084i 0.898128 0.0170147i
\(94\) −10.0544 + 5.80494i −1.03704 + 0.598734i
\(95\) 13.9618 9.31570i 1.43245 0.955771i
\(96\) 0.0328072 + 1.73174i 0.00334837 + 0.176745i
\(97\) −2.32004 4.01843i −0.235565 0.408010i 0.723872 0.689934i \(-0.242361\pi\)
−0.959437 + 0.281924i \(0.909027\pi\)
\(98\) 2.69893 + 6.45877i 0.272633 + 0.652435i
\(99\) 1.89437 1.19159i 0.190391 0.119759i
\(100\) −3.03859 3.97077i −0.303859 0.397077i
\(101\) −10.9742 −1.09197 −0.545986 0.837794i \(-0.683845\pi\)
−0.545986 + 0.837794i \(0.683845\pi\)
\(102\) −8.40125 + 0.159158i −0.831848 + 0.0157590i
\(103\) −6.67426 −0.657635 −0.328817 0.944394i \(-0.606650\pi\)
−0.328817 + 0.944394i \(0.606650\pi\)
\(104\) −1.67087 + 2.89402i −0.163842 + 0.283782i
\(105\) −10.2449 + 0.203321i −0.999803 + 0.0198421i
\(106\) −2.94339 5.09811i −0.285888 0.495172i
\(107\) 6.82770 + 11.8259i 0.660058 + 1.14325i 0.980600 + 0.196020i \(0.0628018\pi\)
−0.320541 + 0.947234i \(0.603865\pi\)
\(108\) −4.34517 + 2.84947i −0.418115 + 0.274190i
\(109\) −5.13894 + 8.90090i −0.492221 + 0.852551i −0.999960 0.00895944i \(-0.997148\pi\)
0.507739 + 0.861511i \(0.330481\pi\)
\(110\) 1.49557 + 0.738758i 0.142597 + 0.0704378i
\(111\) −11.5652 + 0.219099i −1.09772 + 0.0207960i
\(112\) −0.168925 + 2.64035i −0.0159619 + 0.249490i
\(113\) −10.0641 + 17.4316i −0.946754 + 1.63983i −0.194553 + 0.980892i \(0.562326\pi\)
−0.752201 + 0.658934i \(0.771008\pi\)
\(114\) 6.28612 11.3804i 0.588749 1.06587i
\(115\) 4.16601 0.270304i 0.388483 0.0252060i
\(116\) 0.644047 + 0.371841i 0.0597983 + 0.0345245i
\(117\) −10.0180 + 0.379711i −0.926165 + 0.0351043i
\(118\) 4.66316 0.429278
\(119\) −12.8092 0.819513i −1.17422 0.0751246i
\(120\) −3.50431 1.64918i −0.319898 0.150549i
\(121\) 10.4435 0.949409
\(122\) 1.48312 0.856279i 0.134275 0.0775238i
\(123\) 2.52105 1.51991i 0.227315 0.137046i
\(124\) 4.33139 + 2.50073i 0.388971 + 0.224572i
\(125\) 10.9698 2.15954i 0.981168 0.193155i
\(126\) −6.97474 + 3.78854i −0.621359 + 0.337510i
\(127\) 2.11883i 0.188015i 0.995571 + 0.0940077i \(0.0299678\pi\)
−0.995571 + 0.0940077i \(0.970032\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −15.2782 + 0.289440i −1.34517 + 0.0254837i
\(130\) −4.14732 6.21575i −0.363744 0.545157i
\(131\) −15.7575 −1.37674 −0.688370 0.725360i \(-0.741673\pi\)
−0.688370 + 0.725360i \(0.741673\pi\)
\(132\) 1.29186 0.0244738i 0.112442 0.00213017i
\(133\) 11.0076 16.5297i 0.954480 1.43331i
\(134\) 4.53308i 0.391599i
\(135\) −1.40961 11.5331i −0.121320 0.992613i
\(136\) −4.20138 2.42567i −0.360265 0.207999i
\(137\) 11.0072 0.940405 0.470202 0.882559i \(-0.344181\pi\)
0.470202 + 0.882559i \(0.344181\pi\)
\(138\) 2.76939 1.66964i 0.235746 0.142129i
\(139\) 14.5065 + 8.37531i 1.23042 + 0.710385i 0.967118 0.254328i \(-0.0818543\pi\)
0.263304 + 0.964713i \(0.415188\pi\)
\(140\) −5.12614 2.95342i −0.433238 0.249610i
\(141\) −10.3825 17.2212i −0.874364 1.45029i
\(142\) 3.61321 + 2.08609i 0.303213 + 0.175060i
\(143\) 2.15891 + 1.24645i 0.180537 + 0.104233i
\(144\) −2.99785 + 0.113627i −0.249821 + 0.00946891i
\(145\) −1.38328 + 0.922960i −0.114875 + 0.0766477i
\(146\) 5.10736 + 8.84620i 0.422688 + 0.732117i
\(147\) −11.0964 + 4.88574i −0.915214 + 0.402969i
\(148\) −5.78366 3.33920i −0.475414 0.274480i
\(149\) 21.5525i 1.76565i 0.469705 + 0.882823i \(0.344360\pi\)
−0.469705 + 0.882823i \(0.655640\pi\)
\(150\) 6.77665 5.39231i 0.553311 0.440281i
\(151\) −15.3783 −1.25146 −0.625732 0.780038i \(-0.715200\pi\)
−0.625732 + 0.780038i \(0.715200\pi\)
\(152\) 6.50055 3.75309i 0.527264 0.304416i
\(153\) −0.551242 14.5436i −0.0445653 1.17578i
\(154\) 1.96968 + 0.126017i 0.158721 + 0.0101547i
\(155\) −9.30292 + 6.20717i −0.747228 + 0.498572i
\(156\) −5.06651 2.79856i −0.405646 0.224064i
\(157\) 3.52158 + 6.09956i 0.281053 + 0.486798i 0.971644 0.236447i \(-0.0759830\pi\)
−0.690591 + 0.723245i \(0.742650\pi\)
\(158\) 3.10806 + 5.38333i 0.247264 + 0.428274i
\(159\) 8.73203 5.26445i 0.692495 0.417498i
\(160\) −1.24107 1.86004i −0.0981152 0.147049i
\(161\) 4.42683 2.19166i 0.348883 0.172727i
\(162\) −5.07709 7.43123i −0.398894 0.583853i
\(163\) −6.38815 + 3.68820i −0.500359 + 0.288882i −0.728862 0.684661i \(-0.759950\pi\)
0.228503 + 0.973543i \(0.426617\pi\)
\(164\) 1.69959 0.132716
\(165\) −1.23027 + 2.61418i −0.0957765 + 0.203514i
\(166\) 2.61943i 0.203307i
\(167\) −14.6090 8.43452i −1.13048 0.652683i −0.186424 0.982469i \(-0.559690\pi\)
−0.944055 + 0.329787i \(0.893023\pi\)
\(168\) −4.57795 0.205912i −0.353196 0.0158865i
\(169\) 0.916415 + 1.58728i 0.0704935 + 0.122098i
\(170\) 9.02367 6.02085i 0.692084 0.461778i
\(171\) 19.9141 + 10.5126i 1.52287 + 0.803916i
\(172\) −7.64047 4.41123i −0.582580 0.336353i
\(173\) −8.87235 5.12245i −0.674552 0.389453i 0.123247 0.992376i \(-0.460669\pi\)
−0.797799 + 0.602923i \(0.794003\pi\)
\(174\) −0.622802 + 1.12752i −0.0472145 + 0.0854771i
\(175\) 10.9975 7.35218i 0.831334 0.555773i
\(176\) 0.646046 + 0.372995i 0.0486976 + 0.0281156i
\(177\) 0.152985 + 8.07538i 0.0114991 + 0.606983i
\(178\) 15.1719 1.13718
\(179\) 16.4577 + 9.50188i 1.23011 + 0.710204i 0.967053 0.254577i \(-0.0819362\pi\)
0.263056 + 0.964780i \(0.415269\pi\)
\(180\) 2.74099 6.12266i 0.204301 0.456356i
\(181\) 5.53416i 0.411351i 0.978620 + 0.205676i \(0.0659391\pi\)
−0.978620 + 0.205676i \(0.934061\pi\)
\(182\) −7.35899 4.90055i −0.545485 0.363253i
\(183\) 1.53151 + 2.54028i 0.113212 + 0.187783i
\(184\) 1.86701 0.137638
\(185\) 12.4221 8.28835i 0.913289 0.609372i
\(186\) −4.18852 + 7.58289i −0.307117 + 0.556005i
\(187\) −1.80952 + 3.13419i −0.132325 + 0.229194i
\(188\) 11.6099i 0.846737i
\(189\) −6.78959 11.9541i −0.493870 0.869536i
\(190\) 1.08673 + 16.7491i 0.0788400 + 1.21511i
\(191\) −17.3414 10.0121i −1.25478 0.724447i −0.282725 0.959201i \(-0.591238\pi\)
−0.972055 + 0.234754i \(0.924572\pi\)
\(192\) −1.51613 0.837458i −0.109418 0.0604383i
\(193\) −16.4666 + 9.50697i −1.18529 + 0.684327i −0.957232 0.289321i \(-0.906570\pi\)
−0.228056 + 0.973648i \(0.573237\pi\)
\(194\) 4.64008 0.333139
\(195\) 10.6280 7.38601i 0.761087 0.528923i
\(196\) −6.94293 0.892045i −0.495923 0.0637175i
\(197\) −6.94184 −0.494586 −0.247293 0.968941i \(-0.579541\pi\)
−0.247293 + 0.968941i \(0.579541\pi\)
\(198\) 0.0847645 + 2.23636i 0.00602395 + 0.158931i
\(199\) −3.90645 2.25539i −0.276921 0.159880i 0.355108 0.934825i \(-0.384444\pi\)
−0.632029 + 0.774945i \(0.717777\pi\)
\(200\) 4.95808 0.646111i 0.350589 0.0456869i
\(201\) −7.85012 + 0.148718i −0.553705 + 0.0104897i
\(202\) 5.48710 9.50393i 0.386071 0.668694i
\(203\) −1.09059 + 1.63770i −0.0765442 + 0.114944i
\(204\) 4.06279 7.35528i 0.284452 0.514972i
\(205\) −1.68311 + 3.40736i −0.117554 + 0.237981i
\(206\) 3.33713 5.78008i 0.232509 0.402717i
\(207\) 2.98223 + 4.74109i 0.207280 + 0.329529i
\(208\) −1.67087 2.89402i −0.115854 0.200664i
\(209\) −2.79977 4.84934i −0.193664 0.335436i
\(210\) 4.94639 8.97403i 0.341333 0.619267i
\(211\) 3.92397 6.79652i 0.270137 0.467892i −0.698759 0.715357i \(-0.746264\pi\)
0.968897 + 0.247465i \(0.0795976\pi\)
\(212\) 5.88679 0.404306
\(213\) −3.49402 + 6.32557i −0.239406 + 0.433421i
\(214\) −13.6554 −0.933464
\(215\) 16.4101 10.9493i 1.11916 0.746735i
\(216\) −0.295123 5.18776i −0.0200806 0.352983i
\(217\) −7.33450 + 11.0140i −0.497898 + 0.747677i
\(218\) −5.13894 8.90090i −0.348053 0.602845i
\(219\) −15.1518 + 9.13484i −1.02386 + 0.617275i
\(220\) −1.38757 + 0.925826i −0.0935500 + 0.0624192i
\(221\) 14.0399 8.10593i 0.944425 0.545264i
\(222\) 5.59287 10.1253i 0.375369 0.679568i
\(223\) −10.7610 18.6387i −0.720612 1.24814i −0.960755 0.277399i \(-0.910528\pi\)
0.240143 0.970738i \(-0.422806\pi\)
\(224\) −2.20215 1.46647i −0.147137 0.0979827i
\(225\) 9.56041 + 11.5585i 0.637361 + 0.770566i
\(226\) −10.0641 17.4316i −0.669456 1.15953i
\(227\) 8.02790i 0.532831i −0.963858 0.266415i \(-0.914161\pi\)
0.963858 0.266415i \(-0.0858393\pi\)
\(228\) 6.71264 + 11.1341i 0.444556 + 0.737376i
\(229\) 19.2674i 1.27322i 0.771185 + 0.636612i \(0.219665\pi\)
−0.771185 + 0.636612i \(0.780335\pi\)
\(230\) −1.84892 + 3.74302i −0.121914 + 0.246808i
\(231\) −0.153608 + 3.41510i −0.0101067 + 0.224697i
\(232\) −0.644047 + 0.371841i −0.0422837 + 0.0244125i
\(233\) 0.572350 + 0.991339i 0.0374959 + 0.0649448i 0.884164 0.467176i \(-0.154729\pi\)
−0.846668 + 0.532121i \(0.821395\pi\)
\(234\) 4.68016 8.86570i 0.305952 0.579569i
\(235\) 23.2757 + 11.4973i 1.51834 + 0.750003i
\(236\) −2.33158 + 4.03841i −0.151773 + 0.262878i
\(237\) −9.22055 + 5.55897i −0.598939 + 0.361094i
\(238\) 7.11434 10.6834i 0.461154 0.692500i
\(239\) 10.1997 + 5.88880i 0.659764 + 0.380915i 0.792187 0.610279i \(-0.208942\pi\)
−0.132423 + 0.991193i \(0.542276\pi\)
\(240\) 3.18039 2.21023i 0.205293 0.142670i
\(241\) 22.9924i 1.48107i 0.672017 + 0.740536i \(0.265428\pi\)
−0.672017 + 0.740536i \(0.734572\pi\)
\(242\) −5.22175 + 9.04434i −0.335667 + 0.581392i
\(243\) 12.7024 9.03599i 0.814859 0.579659i
\(244\) 1.71256i 0.109635i
\(245\) 8.66401 13.0359i 0.553523 0.832834i
\(246\) 0.0557586 + 2.94324i 0.00355504 + 0.187654i
\(247\) 25.0837i 1.59603i
\(248\) −4.33139 + 2.50073i −0.275044 + 0.158797i
\(249\) −4.53617 + 0.0859359i −0.287468 + 0.00544597i
\(250\) −3.61468 + 10.5799i −0.228612 + 0.669131i
\(251\) −1.44964 −0.0915002 −0.0457501 0.998953i \(-0.514568\pi\)
−0.0457501 + 0.998953i \(0.514568\pi\)
\(252\) 0.206397 7.93457i 0.0130018 0.499831i
\(253\) 1.39277i 0.0875630i
\(254\) −1.83496 1.05941i −0.115135 0.0664735i
\(255\) 10.7226 + 15.4291i 0.671474 + 0.966209i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 7.01785i 0.437762i 0.975752 + 0.218881i \(0.0702406\pi\)
−0.975752 + 0.218881i \(0.929759\pi\)
\(258\) 7.38843 13.3760i 0.459984 0.832755i
\(259\) 9.79366 14.7068i 0.608549 0.913838i
\(260\) 7.45666 0.483811i 0.462442 0.0300047i
\(261\) −1.97301 1.04154i −0.122126 0.0644697i
\(262\) 7.87875 13.6464i 0.486751 0.843077i
\(263\) −2.64989 −0.163399 −0.0816996 0.996657i \(-0.526035\pi\)
−0.0816996 + 0.996657i \(0.526035\pi\)
\(264\) −0.624735 + 1.13102i −0.0384498 + 0.0696095i
\(265\) −5.82972 + 11.8019i −0.358117 + 0.724987i
\(266\) 8.81138 + 17.7977i 0.540260 + 1.09125i
\(267\) 0.497747 + 26.2738i 0.0304616 + 1.60793i
\(268\) −3.92576 2.26654i −0.239804 0.138451i
\(269\) 11.9338 20.6700i 0.727618 1.26027i −0.230269 0.973127i \(-0.573961\pi\)
0.957887 0.287145i \(-0.0927060\pi\)
\(270\) 10.6928 + 4.54581i 0.650742 + 0.276649i
\(271\) −16.9678 + 9.79635i −1.03072 + 0.595086i −0.917190 0.398449i \(-0.869549\pi\)
−0.113528 + 0.993535i \(0.536215\pi\)
\(272\) 4.20138 2.42567i 0.254746 0.147078i
\(273\) 8.24505 12.9046i 0.499013 0.781024i
\(274\) −5.50358 + 9.53248i −0.332483 + 0.575878i
\(275\) −0.481992 3.69868i −0.0290652 0.223039i
\(276\) 0.0612514 + 3.23318i 0.00368690 + 0.194615i
\(277\) 19.9426i 1.19823i 0.800662 + 0.599116i \(0.204481\pi\)
−0.800662 + 0.599116i \(0.795519\pi\)
\(278\) −14.5065 + 8.37531i −0.870040 + 0.502318i
\(279\) −13.2690 7.00465i −0.794395 0.419357i
\(280\) 5.12081 2.96266i 0.306027 0.177053i
\(281\) −2.03902 + 1.17723i −0.121638 + 0.0702277i −0.559584 0.828773i \(-0.689039\pi\)
0.437947 + 0.899001i \(0.355706\pi\)
\(282\) 20.1053 0.380887i 1.19725 0.0226815i
\(283\) 4.41483 + 7.64671i 0.262434 + 0.454550i 0.966888 0.255200i \(-0.0821413\pi\)
−0.704454 + 0.709750i \(0.748808\pi\)
\(284\) −3.61321 + 2.08609i −0.214404 + 0.123786i
\(285\) −28.9695 + 2.43143i −1.71600 + 0.144026i
\(286\) −2.15891 + 1.24645i −0.127659 + 0.0737041i
\(287\) −0.287103 + 4.48751i −0.0169472 + 0.264889i
\(288\) 1.40052 2.65303i 0.0825264 0.156331i
\(289\) 3.26772 + 5.65986i 0.192219 + 0.332933i
\(290\) −0.107669 1.65943i −0.00632255 0.0974452i
\(291\) 0.152228 + 8.03542i 0.00892376 + 0.471045i
\(292\) −10.2147 −0.597771
\(293\) 8.74058 + 5.04638i 0.510630 + 0.294812i 0.733093 0.680129i \(-0.238076\pi\)
−0.222463 + 0.974941i \(0.571410\pi\)
\(294\) 1.31701 12.0526i 0.0768097 0.702923i
\(295\) −5.78731 8.67366i −0.336950 0.505000i
\(296\) 5.78366 3.33920i 0.336168 0.194087i
\(297\) −3.87002 + 0.220159i −0.224561 + 0.0127749i
\(298\) −18.6650 10.7762i −1.08123 0.624250i
\(299\) −3.11953 + 5.40319i −0.180407 + 0.312474i
\(300\) 1.28156 + 8.56491i 0.0739907 + 0.494495i
\(301\) 12.9379 19.4284i 0.745726 1.11983i
\(302\) 7.68913 13.3180i 0.442460 0.766363i
\(303\) 16.6384 + 9.19043i 0.955848 + 0.527976i
\(304\) 7.50618i 0.430509i
\(305\) −3.43336 1.69596i −0.196594 0.0971101i
\(306\) 12.8707 + 6.79439i 0.735770 + 0.388409i
\(307\) 10.7285 0.612306 0.306153 0.951982i \(-0.400958\pi\)
0.306153 + 0.951982i \(0.400958\pi\)
\(308\) −1.09397 + 1.64278i −0.0623348 + 0.0936062i
\(309\) 10.1191 + 5.58942i 0.575654 + 0.317971i
\(310\) −0.724105 11.1601i −0.0411264 0.633854i
\(311\) −2.49511 4.32165i −0.141485 0.245059i 0.786571 0.617500i \(-0.211854\pi\)
−0.928056 + 0.372441i \(0.878521\pi\)
\(312\) 4.95688 2.98845i 0.280628 0.169188i
\(313\) −10.0534 + 17.4130i −0.568253 + 0.984243i 0.428486 + 0.903548i \(0.359047\pi\)
−0.996739 + 0.0806942i \(0.974286\pi\)
\(314\) −7.04317 −0.397469
\(315\) 15.7030 + 8.27144i 0.884762 + 0.466043i
\(316\) −6.21613 −0.349685
\(317\) −13.0051 + 22.5255i −0.730440 + 1.26516i 0.226256 + 0.974068i \(0.427351\pi\)
−0.956695 + 0.291091i \(0.905982\pi\)
\(318\) 0.193129 + 10.1944i 0.0108301 + 0.571673i
\(319\) 0.277389 + 0.480452i 0.0155308 + 0.0269002i
\(320\) 2.23138 0.144779i 0.124738 0.00809337i
\(321\) −0.447995 23.6476i −0.0250046 1.31988i
\(322\) −0.315386 + 4.92958i −0.0175758 + 0.274715i
\(323\) −36.4150 −2.02619
\(324\) 8.97418 0.681272i 0.498565 0.0378485i
\(325\) −6.41442 + 15.4284i −0.355808 + 0.855812i
\(326\) 7.37640i 0.408541i
\(327\) 15.2454 9.19132i 0.843075 0.508281i
\(328\) −0.849794 + 1.47189i −0.0469220 + 0.0812713i
\(329\) 30.6542 + 1.96120i 1.69002 + 0.108125i
\(330\) −1.64881 2.37254i −0.0907641 0.130604i
\(331\) −6.69898 + 11.6030i −0.368209 + 0.637757i −0.989286 0.145993i \(-0.953362\pi\)
0.621076 + 0.783750i \(0.286696\pi\)
\(332\) −2.26849 1.30971i −0.124500 0.0718798i
\(333\) 17.7179 + 9.35322i 0.970937 + 0.512553i
\(334\) 14.6090 8.43452i 0.799370 0.461516i
\(335\) 8.43171 5.62587i 0.460673 0.307374i
\(336\) 2.46730 3.86166i 0.134602 0.210671i
\(337\) −7.18391 4.14763i −0.391333 0.225936i 0.291405 0.956600i \(-0.405877\pi\)
−0.682737 + 0.730664i \(0.739211\pi\)
\(338\) −1.83283 −0.0996929
\(339\) 29.8568 18.0003i 1.62160 0.977644i
\(340\) 0.702369 + 10.8252i 0.0380913 + 0.587076i
\(341\) 1.86552 + 3.23118i 0.101024 + 0.174978i
\(342\) −19.0612 + 11.9898i −1.03071 + 0.648336i
\(343\) 3.52815 18.1811i 0.190502 0.981687i
\(344\) 7.64047 4.41123i 0.411946 0.237837i
\(345\) −6.54260 3.07904i −0.352242 0.165770i
\(346\) 8.87235 5.12245i 0.476980 0.275385i
\(347\) −8.22042 14.2382i −0.441295 0.764346i 0.556490 0.830854i \(-0.312148\pi\)
−0.997786 + 0.0665078i \(0.978814\pi\)
\(348\) −0.665061 1.10312i −0.0356510 0.0591336i
\(349\) 26.2420 15.1508i 1.40470 0.811004i 0.409830 0.912162i \(-0.365588\pi\)
0.994870 + 0.101158i \(0.0322547\pi\)
\(350\) 0.868416 + 13.2002i 0.0464188 + 0.705582i
\(351\) 15.5066 + 7.81396i 0.827683 + 0.417079i
\(352\) −0.646046 + 0.372995i −0.0344344 + 0.0198807i
\(353\) 12.4615i 0.663257i −0.943410 0.331629i \(-0.892402\pi\)
0.943410 0.331629i \(-0.107598\pi\)
\(354\) −7.06997 3.90520i −0.375765 0.207559i
\(355\) −0.604041 9.30968i −0.0320592 0.494107i
\(356\) −7.58595 + 13.1393i −0.402055 + 0.696379i
\(357\) 18.7342 + 11.9697i 0.991520 + 0.633503i
\(358\) −16.4577 + 9.50188i −0.869818 + 0.502190i
\(359\) −1.01914 + 0.588399i −0.0537880 + 0.0310545i −0.526653 0.850080i \(-0.676553\pi\)
0.472865 + 0.881135i \(0.343220\pi\)
\(360\) 3.93189 + 5.43509i 0.207229 + 0.286455i
\(361\) 18.6714 32.3398i 0.982705 1.70210i
\(362\) −4.79273 2.76708i −0.251900 0.145435i
\(363\) −15.8337 8.74599i −0.831056 0.459046i
\(364\) 7.92350 3.92280i 0.415304 0.205611i
\(365\) 10.1157 20.4786i 0.529480 1.07190i
\(366\) −2.96570 + 0.0561841i −0.155020 + 0.00293679i
\(367\) −35.4401 −1.84996 −0.924978 0.380020i \(-0.875917\pi\)
−0.924978 + 0.380020i \(0.875917\pi\)
\(368\) −0.933507 + 1.61688i −0.0486624 + 0.0842858i
\(369\) −5.09511 + 0.193119i −0.265241 + 0.0100534i
\(370\) 0.966888 + 14.9020i 0.0502661 + 0.774718i
\(371\) −0.994427 + 15.5432i −0.0516281 + 0.806963i
\(372\) −4.47272 7.41881i −0.231900 0.384647i
\(373\) 25.3686i 1.31353i −0.754093 0.656767i \(-0.771923\pi\)
0.754093 0.656767i \(-0.228077\pi\)
\(374\) −1.80952 3.13419i −0.0935682 0.162065i
\(375\) −18.4402 5.91259i −0.952248 0.305325i
\(376\) 10.0544 + 5.80494i 0.518519 + 0.299367i
\(377\) 2.48518i 0.127993i
\(378\) 13.7474 + 0.0971153i 0.707089 + 0.00499507i
\(379\) 24.3494 1.25075 0.625373 0.780326i \(-0.284947\pi\)
0.625373 + 0.780326i \(0.284947\pi\)
\(380\) −15.0485 7.43342i −0.771973 0.381326i
\(381\) 1.77443 3.21243i 0.0909067 0.164578i
\(382\) 17.3414 10.0121i 0.887263 0.512262i
\(383\) 13.1254i 0.670674i 0.942098 + 0.335337i \(0.108850\pi\)
−0.942098 + 0.335337i \(0.891150\pi\)
\(384\) 1.48333 0.894282i 0.0756957 0.0456361i
\(385\) −2.21011 3.82007i −0.112638 0.194689i
\(386\) 19.0139i 0.967784i
\(387\) 23.4062 + 12.3560i 1.18980 + 0.628092i
\(388\) −2.32004 + 4.01843i −0.117782 + 0.204005i
\(389\) 19.3282i 0.979980i −0.871728 0.489990i \(-0.837000\pi\)
0.871728 0.489990i \(-0.163000\pi\)
\(390\) 1.08247 + 12.8971i 0.0548128 + 0.653071i
\(391\) −7.84404 4.52876i −0.396690 0.229029i
\(392\) 4.24400 5.56673i 0.214354 0.281162i
\(393\) 23.8905 + 13.1962i 1.20512 + 0.665663i
\(394\) 3.47092 6.01181i 0.174862 0.302871i
\(395\) 6.15587 12.4622i 0.309735 0.627042i
\(396\) −1.97913 1.04477i −0.0994550 0.0525019i
\(397\) 18.0143 + 31.2016i 0.904111 + 1.56597i 0.822107 + 0.569334i \(0.192799\pi\)
0.0820040 + 0.996632i \(0.473868\pi\)
\(398\) 3.90645 2.25539i 0.195812 0.113052i
\(399\) −30.5320 + 15.8429i −1.52851 + 0.793138i
\(400\) −1.91949 + 4.61688i −0.0959745 + 0.230844i
\(401\) 3.15068i 0.157338i −0.996901 0.0786688i \(-0.974933\pi\)
0.996901 0.0786688i \(-0.0250669\pi\)
\(402\) 3.79627 6.87276i 0.189341 0.342782i
\(403\) 16.7135i 0.832561i
\(404\) 5.48710 + 9.50393i 0.272993 + 0.472838i
\(405\) −7.52136 + 18.6663i −0.373739 + 0.927534i
\(406\) −0.872995 1.76332i −0.0433260 0.0875123i
\(407\) −2.49101 4.31455i −0.123475 0.213864i
\(408\) 4.33846 + 7.19612i 0.214786 + 0.356261i
\(409\) −13.8104 + 7.97346i −0.682882 + 0.394262i −0.800940 0.598744i \(-0.795667\pi\)
0.118058 + 0.993007i \(0.462333\pi\)
\(410\) −2.10931 3.16130i −0.104171 0.156125i
\(411\) −16.6883 9.21804i −0.823175 0.454692i
\(412\) 3.33713 + 5.78008i 0.164409 + 0.284764i
\(413\) −10.2690 6.83838i −0.505303 0.336495i
\(414\) −5.59702 + 0.212143i −0.275079 + 0.0104263i
\(415\) 4.87224 3.25089i 0.239169 0.159580i
\(416\) 3.34173 0.163842
\(417\) −14.9798 24.8467i −0.733563 1.21675i
\(418\) 5.59954 0.273882
\(419\) −17.4629 + 30.2467i −0.853120 + 1.47765i 0.0252584 + 0.999681i \(0.491959\pi\)
−0.878378 + 0.477966i \(0.841374\pi\)
\(420\) 5.29855 + 8.77071i 0.258543 + 0.427967i
\(421\) 18.6679 + 32.3338i 0.909818 + 1.57585i 0.814315 + 0.580423i \(0.197113\pi\)
0.0955030 + 0.995429i \(0.469554\pi\)
\(422\) 3.92397 + 6.79652i 0.191016 + 0.330849i
\(423\) 1.31919 + 34.8046i 0.0641414 + 1.69226i
\(424\) −2.94339 + 5.09811i −0.142944 + 0.247586i
\(425\) −22.3980 9.31209i −1.08646 0.451703i
\(426\) −3.73110 6.18869i −0.180772 0.299843i
\(427\) −4.52176 0.289294i −0.218823 0.0139999i
\(428\) 6.82770 11.8259i 0.330029 0.571627i
\(429\) −2.22935 3.69778i −0.107634 0.178531i
\(430\) 1.27730 + 19.6862i 0.0615970 + 0.949353i
\(431\) 7.75117 + 4.47514i 0.373361 + 0.215560i 0.674926 0.737886i \(-0.264176\pi\)
−0.301565 + 0.953446i \(0.597509\pi\)
\(432\) 4.64030 + 2.33830i 0.223256 + 0.112501i
\(433\) −12.0060 −0.576972 −0.288486 0.957484i \(-0.593152\pi\)
−0.288486 + 0.957484i \(0.593152\pi\)
\(434\) −5.87113 11.8588i −0.281823 0.569243i
\(435\) 2.87017 0.240896i 0.137614 0.0115501i
\(436\) 10.2779 0.492221
\(437\) 12.1366 7.00708i 0.580573 0.335194i
\(438\) −0.335116 17.6892i −0.0160125 0.845224i
\(439\) −28.3831 16.3870i −1.35465 0.782108i −0.365753 0.930712i \(-0.619189\pi\)
−0.988897 + 0.148604i \(0.952522\pi\)
\(440\) −0.108003 1.66458i −0.00514886 0.0793559i
\(441\) 20.9152 + 1.88531i 0.995962 + 0.0897767i
\(442\) 16.2119i 0.771119i
\(443\) 3.05270 5.28743i 0.145038 0.251213i −0.784349 0.620320i \(-0.787003\pi\)
0.929387 + 0.369106i \(0.120336\pi\)
\(444\) 5.97237 + 9.90624i 0.283436 + 0.470129i
\(445\) −18.8294 28.2203i −0.892599 1.33777i
\(446\) 21.5221 1.01910
\(447\) 18.0493 32.6764i 0.853702 1.54554i
\(448\) 2.37108 1.17388i 0.112023 0.0554608i
\(449\) 4.39667i 0.207492i −0.994604 0.103746i \(-0.966917\pi\)
0.994604 0.103746i \(-0.0330828\pi\)
\(450\) −14.7901 + 2.50031i −0.697214 + 0.117866i
\(451\) 1.09801 + 0.633938i 0.0517034 + 0.0298510i
\(452\) 20.1283 0.946754
\(453\) 23.3155 + 12.8786i 1.09546 + 0.605092i
\(454\) 6.95237 + 4.01395i 0.326291 + 0.188384i
\(455\) 0.0178140 + 19.7699i 0.000835132 + 0.926829i
\(456\) −12.9988 + 0.246257i −0.608723 + 0.0115320i
\(457\) −28.7983 16.6267i −1.34713 0.777765i −0.359287 0.933227i \(-0.616980\pi\)
−0.987842 + 0.155462i \(0.950313\pi\)
\(458\) −16.6860 9.63368i −0.779687 0.450152i
\(459\) −11.3439 + 22.5116i −0.529486 + 1.05075i
\(460\) −2.31710 3.47272i −0.108035 0.161916i
\(461\) −6.22235 10.7774i −0.289804 0.501955i 0.683959 0.729520i \(-0.260257\pi\)
−0.973763 + 0.227566i \(0.926923\pi\)
\(462\) −2.88076 1.84058i −0.134025 0.0856315i
\(463\) −2.79388 1.61305i −0.129843 0.0749647i 0.433672 0.901071i \(-0.357218\pi\)
−0.563514 + 0.826106i \(0.690551\pi\)
\(464\) 0.743681i 0.0345245i
\(465\) 19.3027 1.62009i 0.895142 0.0751301i
\(466\) −1.14470 −0.0530272
\(467\) 36.0480 20.8123i 1.66810 0.963080i 0.699443 0.714688i \(-0.253431\pi\)
0.968660 0.248392i \(-0.0799021\pi\)
\(468\) 5.33784 + 8.48599i 0.246742 + 0.392265i
\(469\) 6.64763 9.98253i 0.306959 0.460950i
\(470\) −21.5948 + 14.4087i −0.996095 + 0.664622i
\(471\) −0.231066 12.1969i −0.0106470 0.562005i
\(472\) −2.33158 4.03841i −0.107320 0.185883i
\(473\) −3.29073 5.69971i −0.151308 0.262073i
\(474\) −0.203934 10.7647i −0.00936698 0.494440i
\(475\) 29.8053 22.8082i 1.36756 1.04651i
\(476\) 5.69490 + 11.5029i 0.261025 + 0.527234i
\(477\) −17.6477 + 0.668898i −0.808032 + 0.0306267i
\(478\) −10.1997 + 5.88880i −0.466523 + 0.269347i
\(479\) −23.0103 −1.05137 −0.525683 0.850681i \(-0.676190\pi\)
−0.525683 + 0.850681i \(0.676190\pi\)
\(480\) 0.323924 + 3.85941i 0.0147850 + 0.176157i
\(481\) 22.3174i 1.01759i
\(482\) −19.9120 11.4962i −0.906967 0.523638i
\(483\) −8.54709 0.384441i −0.388906 0.0174927i
\(484\) −5.22175 9.04434i −0.237352 0.411106i
\(485\) −5.75867 8.63074i −0.261488 0.391902i
\(486\) 1.47420 + 15.5186i 0.0668712 + 0.703938i
\(487\) 9.17108 + 5.29492i 0.415581 + 0.239936i 0.693185 0.720760i \(-0.256207\pi\)
−0.277604 + 0.960696i \(0.589540\pi\)
\(488\) −1.48312 0.856279i −0.0671376 0.0387619i
\(489\) 12.7740 0.241999i 0.577661 0.0109436i
\(490\) 6.95742 + 14.0212i 0.314304 + 0.633414i
\(491\) 2.99490 + 1.72911i 0.135158 + 0.0780336i 0.566054 0.824368i \(-0.308469\pi\)
−0.430896 + 0.902401i \(0.641803\pi\)
\(492\) −2.57680 1.42333i −0.116171 0.0641689i
\(493\) 3.60785 0.162489
\(494\) −21.7231 12.5418i −0.977368 0.564283i
\(495\) 4.05453 2.93315i 0.182237 0.131835i
\(496\) 5.00146i 0.224572i
\(497\) −4.89764 9.89253i −0.219689 0.443741i
\(498\) 2.19366 3.97140i 0.0983003 0.177963i
\(499\) −14.4692 −0.647730 −0.323865 0.946103i \(-0.604982\pi\)
−0.323865 + 0.946103i \(0.604982\pi\)
\(500\) −7.35511 8.42035i −0.328931 0.376570i
\(501\) 15.0857 + 25.0223i 0.673978 + 1.11791i
\(502\) 0.724818 1.25542i 0.0323502 0.0560322i
\(503\) 33.2244i 1.48140i 0.671833 + 0.740702i \(0.265507\pi\)
−0.671833 + 0.740702i \(0.734493\pi\)
\(504\) 6.76834 + 4.14603i 0.301486 + 0.184679i
\(505\) −24.4876 + 1.58883i −1.08968 + 0.0707019i
\(506\) 1.20618 + 0.696387i 0.0536211 + 0.0309582i
\(507\) −0.0601300 3.17399i −0.00267047 0.140962i
\(508\) 1.83496 1.05941i 0.0814131 0.0470039i
\(509\) −41.8292 −1.85405 −0.927023 0.375005i \(-0.877641\pi\)
−0.927023 + 0.375005i \(0.877641\pi\)
\(510\) −18.7233 + 1.57146i −0.829082 + 0.0695856i
\(511\) 1.72552 26.9705i 0.0763327 1.19310i
\(512\) 1.00000 0.0441942
\(513\) −21.3886 32.6157i −0.944331 1.44002i
\(514\) −6.07764 3.50893i −0.268073 0.154772i
\(515\) −14.8928 + 0.966290i −0.656255 + 0.0425798i
\(516\) 7.88976 + 13.0866i 0.347327 + 0.576105i
\(517\) 4.33043 7.50052i 0.190452 0.329872i
\(518\) 7.83965 + 15.8350i 0.344454 + 0.695749i
\(519\) 9.16183 + 15.1965i 0.402160 + 0.667054i
\(520\) −3.30934 + 6.69956i −0.145124 + 0.293795i
\(521\) 11.1096 19.2425i 0.486722 0.843027i −0.513161 0.858292i \(-0.671526\pi\)
0.999883 + 0.0152648i \(0.00485914\pi\)
\(522\) 1.88850 1.18790i 0.0826575 0.0519931i
\(523\) −15.3867 26.6505i −0.672813 1.16535i −0.977103 0.212766i \(-0.931753\pi\)
0.304291 0.952579i \(-0.401581\pi\)
\(524\) 7.87875 + 13.6464i 0.344185 + 0.596146i
\(525\) −22.8309 + 1.93693i −0.996421 + 0.0845347i
\(526\) 1.32494 2.29487i 0.0577703 0.100061i
\(527\) 24.2638 1.05695
\(528\) −0.667125 1.10655i −0.0290329 0.0481563i
\(529\) −19.5143 −0.848446
\(530\) −7.30592 10.9497i −0.317349 0.475623i
\(531\) 6.53085 12.3715i 0.283415 0.536876i
\(532\) −19.8190 1.26798i −0.859262 0.0549741i
\(533\) −2.83978 4.91865i −0.123005 0.213050i
\(534\) −23.0026 12.7058i −0.995422 0.549835i
\(535\) 16.9473 + 25.3996i 0.732696 + 1.09812i
\(536\) 3.92576 2.26654i 0.169567 0.0978996i
\(537\) −16.9947 28.1888i −0.733376 1.21644i
\(538\) 11.9338 + 20.6700i 0.514504 + 0.891147i
\(539\) −4.15272 3.16598i −0.178871 0.136368i
\(540\) −9.28318 + 6.98732i −0.399484 + 0.300686i
\(541\) 2.61686 + 4.53253i 0.112508 + 0.194869i 0.916781 0.399391i \(-0.130778\pi\)
−0.804273 + 0.594260i \(0.797445\pi\)
\(542\) 19.5927i 0.841578i
\(543\) 4.63463 8.39053i 0.198891 0.360072i
\(544\) 4.85133i 0.207999i
\(545\) −10.1782 + 20.6053i −0.435988 + 0.882632i
\(546\) 7.05322 + 13.5927i 0.301850 + 0.581716i
\(547\) −3.57961 + 2.06669i −0.153053 + 0.0883652i −0.574571 0.818455i \(-0.694831\pi\)
0.421518 + 0.906820i \(0.361498\pi\)
\(548\) −5.50358 9.53248i −0.235101 0.407207i
\(549\) −0.194593 5.13398i −0.00830501 0.219113i
\(550\) 3.44414 + 1.43192i 0.146859 + 0.0610573i
\(551\) −2.79110 + 4.83433i −0.118905 + 0.205950i
\(552\) −2.83065 1.56355i −0.120480 0.0665490i
\(553\) 1.05006 16.4128i 0.0446532 0.697942i
\(554\) −17.2708 9.97128i −0.733765 0.423639i
\(555\) −25.7747 + 2.16329i −1.09407 + 0.0918266i
\(556\) 16.7506i 0.710385i
\(557\) −6.66281 + 11.5403i −0.282312 + 0.488979i −0.971954 0.235172i \(-0.924435\pi\)
0.689642 + 0.724151i \(0.257768\pi\)
\(558\) 12.7007 7.98898i 0.537664 0.338200i
\(559\) 29.4823i 1.24697i
\(560\) 0.00533076 + 5.91608i 0.000225266 + 0.250000i
\(561\) 5.36823 3.23645i 0.226647 0.136643i
\(562\) 2.35446i 0.0993170i
\(563\) 8.13242 4.69526i 0.342741 0.197881i −0.318743 0.947841i \(-0.603261\pi\)
0.661483 + 0.749960i \(0.269927\pi\)
\(564\) −9.72279 + 17.6021i −0.409403 + 0.741184i
\(565\) −19.9331 + 40.3535i −0.838594 + 1.69768i
\(566\) −8.82966 −0.371138
\(567\) 0.282834 + 23.8101i 0.0118779 + 0.999929i
\(568\) 4.17217i 0.175060i
\(569\) 30.0367 + 17.3417i 1.25921 + 0.727002i 0.972920 0.231142i \(-0.0742462\pi\)
0.286285 + 0.958144i \(0.407580\pi\)
\(570\) 12.3791 26.3040i 0.518501 1.10175i
\(571\) −5.74730 9.95461i −0.240517 0.416588i 0.720345 0.693616i \(-0.243984\pi\)
−0.960862 + 0.277029i \(0.910650\pi\)
\(572\) 2.49290i 0.104233i
\(573\) 17.9072 + 29.7023i 0.748085 + 1.24083i
\(574\) −3.74275 2.49240i −0.156219 0.104031i
\(575\) 9.25680 1.20630i 0.386035 0.0503061i
\(576\) 1.59733 + 2.53940i 0.0665553 + 0.105808i
\(577\) −8.61149 + 14.9155i −0.358501 + 0.620942i −0.987711 0.156293i \(-0.950045\pi\)
0.629209 + 0.777236i \(0.283379\pi\)
\(578\) −6.53545 −0.271839
\(579\) 32.9272 0.623793i 1.36841 0.0259240i
\(580\) 1.49095 + 0.736472i 0.0619081 + 0.0305803i
\(581\) 3.84131 5.76837i 0.159364 0.239312i
\(582\) −7.03499 3.88588i −0.291610 0.161075i
\(583\) 3.80314 + 2.19574i 0.157510 + 0.0909384i
\(584\) 5.10736 8.84620i 0.211344 0.366059i
\(585\) −22.2990 + 2.29767i −0.921948 + 0.0949969i
\(586\) −8.74058 + 5.04638i −0.361070 + 0.208464i
\(587\) 18.3983 10.6223i 0.759380 0.438428i −0.0696932 0.997568i \(-0.522202\pi\)
0.829073 + 0.559140i \(0.188869\pi\)
\(588\) 9.77936 + 7.16687i 0.403294 + 0.295557i
\(589\) −18.7710 + 32.5122i −0.773444 + 1.33964i
\(590\) 10.4053 0.675125i 0.428378 0.0277945i
\(591\) 10.5248 + 5.81350i 0.432931 + 0.239135i
\(592\) 6.67839i 0.274480i
\(593\) 5.35047 3.08910i 0.219718 0.126854i −0.386102 0.922456i \(-0.626179\pi\)
0.605819 + 0.795602i \(0.292845\pi\)
\(594\) 1.74435 3.46162i 0.0715714 0.142032i
\(595\) −28.7009 + 0.0258613i −1.17662 + 0.00106021i
\(596\) 18.6650 10.7762i 0.764547 0.441412i
\(597\) 4.03390 + 6.69096i 0.165097 + 0.273843i
\(598\) −3.11953 5.40319i −0.127567 0.220953i
\(599\) 17.5461 10.1302i 0.716914 0.413911i −0.0967017 0.995313i \(-0.530829\pi\)
0.813616 + 0.581403i \(0.197496\pi\)
\(600\) −8.05820 3.17259i −0.328975 0.129521i
\(601\) 1.81095 1.04555i 0.0738700 0.0426489i −0.462610 0.886562i \(-0.653087\pi\)
0.536480 + 0.843913i \(0.319754\pi\)
\(602\) 10.3565 + 20.9187i 0.422100 + 0.852583i
\(603\) 12.0264 + 6.34867i 0.489752 + 0.258538i
\(604\) 7.68913 + 13.3180i 0.312866 + 0.541900i
\(605\) 23.3034 1.51200i 0.947417 0.0614713i
\(606\) −16.2783 + 9.81402i −0.661262 + 0.398667i
\(607\) 13.4794 0.547111 0.273555 0.961856i \(-0.411800\pi\)
0.273555 + 0.961856i \(0.411800\pi\)
\(608\) −6.50055 3.75309i −0.263632 0.152208i
\(609\) 3.02498 1.56965i 0.122578 0.0636054i
\(610\) 3.18542 2.12540i 0.128974 0.0860551i
\(611\) −33.5993 + 19.3985i −1.35928 + 0.784781i
\(612\) −12.3195 + 7.74917i −0.497985 + 0.313242i
\(613\) −9.41875 5.43792i −0.380420 0.219636i 0.297581 0.954697i \(-0.403820\pi\)
−0.678001 + 0.735061i \(0.737153\pi\)
\(614\) −5.36423 + 9.29112i −0.216483 + 0.374959i
\(615\) 5.40535 3.75649i 0.217965 0.151476i
\(616\) −0.875705 1.76880i −0.0352832 0.0712669i
\(617\) −0.714583 + 1.23769i −0.0287680 + 0.0498277i −0.880051 0.474879i \(-0.842492\pi\)
0.851283 + 0.524707i \(0.175825\pi\)
\(618\) −9.90011 + 5.96867i −0.398241 + 0.240095i
\(619\) 22.2859i 0.895747i −0.894097 0.447873i \(-0.852182\pi\)
0.894097 0.447873i \(-0.147818\pi\)
\(620\) 10.0270 + 4.95298i 0.402695 + 0.198916i
\(621\) −0.550999 9.68563i −0.0221108 0.388671i
\(622\) 4.99022 0.200089
\(623\) −33.4108 22.2491i −1.33858 0.891393i
\(624\) 0.109633 + 5.78701i 0.00438882 + 0.231666i
\(625\) 24.1651 6.40694i 0.966603 0.256278i
\(626\) −10.0534 17.4130i −0.401815 0.695965i
\(627\) 0.183705 + 9.69694i 0.00733647 + 0.387259i
\(628\) 3.52158 6.09956i 0.140526 0.243399i
\(629\) −32.3991 −1.29184
\(630\) −15.0148 + 9.46345i −0.598202 + 0.377033i
\(631\) 13.9478 0.555255 0.277627 0.960689i \(-0.410452\pi\)
0.277627 + 0.960689i \(0.410452\pi\)
\(632\) 3.10806 5.38333i 0.123632 0.214137i
\(633\) −11.6411 + 7.01827i −0.462691 + 0.278951i
\(634\) −13.0051 22.5255i −0.516499 0.894602i
\(635\) 0.306761 + 4.72790i 0.0121734 + 0.187621i
\(636\) −8.92516 4.92994i −0.353906 0.195485i
\(637\) 9.01910 + 21.5835i 0.357350 + 0.855169i
\(638\) −0.554779 −0.0219639
\(639\) 10.5948 6.66432i 0.419124 0.263637i
\(640\) −0.990306 + 2.00482i −0.0391453 + 0.0792474i
\(641\) 8.71120i 0.344072i −0.985091 0.172036i \(-0.944965\pi\)
0.985091 0.172036i \(-0.0550345\pi\)
\(642\) 20.7034 + 11.4358i 0.817099 + 0.451336i
\(643\) −21.6235 + 37.4529i −0.852746 + 1.47700i 0.0259739 + 0.999663i \(0.491731\pi\)
−0.878720 + 0.477337i \(0.841602\pi\)
\(644\) −4.11145 2.73792i −0.162014 0.107889i
\(645\) −34.0495 + 2.85780i −1.34070 + 0.112526i
\(646\) 18.2075 31.5363i 0.716365 1.24078i
\(647\) −31.0729 17.9400i −1.22160 0.705293i −0.256344 0.966586i \(-0.582518\pi\)
−0.965260 + 0.261293i \(0.915851\pi\)
\(648\) −3.89709 + 8.11250i −0.153092 + 0.318689i
\(649\) −3.01262 + 1.73933i −0.118256 + 0.0682748i
\(650\) −10.1541 13.2692i −0.398278 0.520462i
\(651\) 20.3438 10.5563i 0.797337 0.413735i
\(652\) 6.38815 + 3.68820i 0.250179 + 0.144441i
\(653\) 3.88543 0.152049 0.0760243 0.997106i \(-0.475777\pi\)
0.0760243 + 0.997106i \(0.475777\pi\)
\(654\) 0.337188 + 17.7986i 0.0131851 + 0.695980i
\(655\) −35.1609 + 2.28135i −1.37385 + 0.0891397i
\(656\) −0.849794 1.47189i −0.0331789 0.0574675i
\(657\) 30.6222 1.16067i 1.19468 0.0452819i
\(658\) −17.0255 + 25.5667i −0.663725 + 0.996693i
\(659\) −12.1007 + 6.98632i −0.471375 + 0.272149i −0.716815 0.697263i \(-0.754401\pi\)
0.245440 + 0.969412i \(0.421068\pi\)
\(660\) 2.87908 0.241644i 0.112068 0.00940598i
\(661\) −38.7265 + 22.3587i −1.50628 + 0.869654i −0.506311 + 0.862351i \(0.668991\pi\)
−0.999973 + 0.00730324i \(0.997675\pi\)
\(662\) −6.69898 11.6030i −0.260363 0.450962i
\(663\) −28.0747 + 0.531865i −1.09033 + 0.0206559i
\(664\) 2.26849 1.30971i 0.0880345 0.0508267i
\(665\) 22.1689 38.4777i 0.859674 1.49210i
\(666\) −16.9591 + 10.6676i −0.657152 + 0.413360i
\(667\) −1.20244 + 0.694232i −0.0465589 + 0.0268808i
\(668\) 16.8690i 0.652683i
\(669\) 0.706078 + 37.2706i 0.0272985 + 1.44097i
\(670\) 0.656293 + 10.1150i 0.0253548 + 0.390777i
\(671\) −0.638775 + 1.10639i −0.0246596 + 0.0427118i
\(672\) 2.11065 + 4.06757i 0.0814200 + 0.156910i
\(673\) 32.2357 18.6113i 1.24259 0.717412i 0.272973 0.962022i \(-0.411993\pi\)
0.969622 + 0.244610i \(0.0786598\pi\)
\(674\) 7.18391 4.14763i 0.276714 0.159761i
\(675\) −4.81512 25.5307i −0.185334 0.982676i
\(676\) 0.916415 1.58728i 0.0352467 0.0610492i
\(677\) 10.8972 + 6.29151i 0.418814 + 0.241803i 0.694570 0.719425i \(-0.255595\pi\)
−0.275756 + 0.961228i \(0.588928\pi\)
\(678\) 0.660351 + 34.8569i 0.0253606 + 1.33867i
\(679\) −10.2182 6.80454i −0.392137 0.261134i
\(680\) −9.72604 4.80431i −0.372977 0.184237i
\(681\) −6.72303 + 12.1714i −0.257627 + 0.466408i
\(682\) −3.73104 −0.142869
\(683\) −8.98544 + 15.5632i −0.343818 + 0.595511i −0.985138 0.171763i \(-0.945054\pi\)
0.641320 + 0.767274i \(0.278387\pi\)
\(684\) −0.852905 22.5024i −0.0326116 0.860401i
\(685\) 24.5611 1.59360i 0.938432 0.0608884i
\(686\) 13.9812 + 12.1460i 0.533805 + 0.463737i
\(687\) 16.1356 29.2119i 0.615612 1.11450i
\(688\) 8.82245i 0.336353i
\(689\) −9.83603 17.0365i −0.374723 0.649039i
\(690\) 5.93783 4.12654i 0.226049 0.157095i
\(691\) 38.3130 + 22.1200i 1.45750 + 0.841485i 0.998888 0.0471537i \(-0.0150151\pi\)
0.458608 + 0.888639i \(0.348348\pi\)
\(692\) 10.2449i 0.389453i
\(693\) 3.09290 5.04911i 0.117489 0.191800i
\(694\) 16.4408 0.624086
\(695\) 33.5819 + 16.5882i 1.27384 + 0.629228i
\(696\) 1.28786 0.0243981i 0.0488163 0.000924806i
\(697\) 7.14061 4.12264i 0.270470 0.156156i
\(698\) 30.3016i 1.14693i
\(699\) −0.0375544 1.98232i −0.00142044 0.0749783i
\(700\) −11.8659 5.84804i −0.448490 0.221035i
\(701\) 29.6654i 1.12045i −0.828342 0.560223i \(-0.810716\pi\)
0.828342 0.560223i \(-0.189284\pi\)
\(702\) −14.5204 + 9.52215i −0.548037 + 0.359390i
\(703\) 25.0646 43.4132i 0.945330 1.63736i
\(704\) 0.745990i 0.0281156i
\(705\) −25.6605 36.9239i −0.966432 1.39064i
\(706\) 10.7919 + 6.23074i 0.406160 + 0.234497i
\(707\) −26.0206 + 12.8824i −0.978607 + 0.484493i
\(708\) 6.91699 4.17018i 0.259956 0.156725i
\(709\) −18.3682 + 31.8146i −0.689831 + 1.19482i 0.282062 + 0.959396i \(0.408982\pi\)
−0.971892 + 0.235425i \(0.924352\pi\)
\(710\) 8.36444 + 4.13173i 0.313912 + 0.155061i
\(711\) 18.6350 0.706320i 0.698867 0.0264891i
\(712\) −7.58595 13.1393i −0.284296 0.492414i
\(713\) −8.08678 + 4.66890i −0.302852 + 0.174852i
\(714\) −19.7332 + 10.2395i −0.738495 + 0.383202i
\(715\) 4.99781 + 2.46873i 0.186907 + 0.0923253i
\(716\) 19.0038i 0.710204i
\(717\) −10.5325 17.4700i −0.393343 0.652430i
\(718\) 1.17680i 0.0439177i
\(719\) 15.0842 + 26.1266i 0.562546 + 0.974358i 0.997273 + 0.0737961i \(0.0235114\pi\)
−0.434727 + 0.900562i \(0.643155\pi\)
\(720\) −6.67287 + 0.687569i −0.248683 + 0.0256242i
\(721\) −15.8252 + 7.83480i −0.589360 + 0.291783i
\(722\) 18.6714 + 32.3398i 0.694878 + 1.20356i
\(723\) 19.2552 34.8596i 0.716108 1.29644i
\(724\) 4.79273 2.76708i 0.178120 0.102838i
\(725\) −2.95298 + 2.25974i −0.109671 + 0.0839247i
\(726\) 15.4911 9.33943i 0.574930 0.346619i
\(727\) 2.77440 + 4.80540i 0.102897 + 0.178222i 0.912877 0.408235i \(-0.133856\pi\)
−0.809980 + 0.586457i \(0.800522\pi\)
\(728\) −0.564503 + 8.82335i −0.0209219 + 0.327015i
\(729\) −26.8258 + 3.06206i −0.993548 + 0.113410i
\(730\) 12.6772 + 18.9998i 0.469203 + 0.703213i
\(731\) −42.8007 −1.58304
\(732\) 1.43419 2.59647i 0.0530094 0.0959682i
\(733\) 20.2714 0.748740 0.374370 0.927279i \(-0.377859\pi\)
0.374370 + 0.927279i \(0.377859\pi\)
\(734\) 17.7200 30.6920i 0.654059 1.13286i
\(735\) −24.0528 + 12.5084i −0.887202 + 0.461381i
\(736\) −0.933507 1.61688i −0.0344095 0.0595991i
\(737\) −1.69082 2.92858i −0.0622820 0.107876i
\(738\) 2.38031 4.50905i 0.0876203 0.165980i
\(739\) 24.5774 42.5693i 0.904095 1.56594i 0.0819667 0.996635i \(-0.473880\pi\)
0.822128 0.569303i \(-0.192787\pi\)
\(740\) −13.3890 6.61365i −0.492188 0.243123i
\(741\) 21.0065 38.0302i 0.771693 1.39707i
\(742\) −12.9636 8.63280i −0.475908 0.316920i
\(743\) −13.5537 + 23.4757i −0.497237 + 0.861240i −0.999995 0.00318755i \(-0.998985\pi\)
0.502758 + 0.864427i \(0.332319\pi\)
\(744\) 8.66124 0.164084i 0.317536 0.00601560i
\(745\) 3.12033 + 48.0916i 0.114320 + 1.76194i
\(746\) 21.9698 + 12.6843i 0.804372 + 0.464405i
\(747\) 6.94940 + 3.66856i 0.254265 + 0.134226i
\(748\) 3.61905 0.132325
\(749\) 30.0712 + 20.0252i 1.09878 + 0.731706i
\(750\) 14.3406 13.0134i 0.523643 0.475182i
\(751\) 41.2806 1.50635 0.753174 0.657821i \(-0.228522\pi\)
0.753174 + 0.657821i \(0.228522\pi\)
\(752\) −10.0544 + 5.80494i −0.366648 + 0.211684i
\(753\) 2.19784 + 1.21401i 0.0800938 + 0.0442410i
\(754\) 2.15223 + 1.24259i 0.0783797 + 0.0452525i
\(755\) −34.3147 + 2.22644i −1.24884 + 0.0810285i
\(756\) −6.95780 + 11.8570i −0.253053 + 0.431236i
\(757\) 37.6630i 1.36888i −0.729067 0.684442i \(-0.760046\pi\)
0.729067 0.684442i \(-0.239954\pi\)
\(758\) −12.1747 + 21.0872i −0.442206 + 0.765923i
\(759\) −1.16639 + 2.11163i −0.0423373 + 0.0766474i
\(760\) 13.9618 9.31570i 0.506448 0.337916i
\(761\) 20.1064 0.728855 0.364427 0.931232i \(-0.381265\pi\)
0.364427 + 0.931232i \(0.381265\pi\)
\(762\) 1.89483 + 3.14291i 0.0686424 + 0.113856i
\(763\) −1.73619 + 27.1372i −0.0628544 + 0.982433i
\(764\) 20.0241i 0.724447i
\(765\) −3.33563 32.3723i −0.120600 1.17042i
\(766\) −11.3669 6.56268i −0.410702 0.237119i
\(767\) 15.5830 0.562670
\(768\) 0.0328072 + 1.73174i 0.00118383 + 0.0624888i
\(769\) −24.3791 14.0753i −0.879134 0.507568i −0.00876117 0.999962i \(-0.502789\pi\)
−0.870373 + 0.492393i \(0.836122\pi\)
\(770\) 4.41333 0.00397670i 0.159046 0.000143310i
\(771\) 5.87716 10.6400i 0.211661 0.383191i
\(772\) 16.4666 + 9.50697i 0.592644 + 0.342163i
\(773\) 37.3009 + 21.5357i 1.34162 + 0.774585i 0.987045 0.160442i \(-0.0512920\pi\)
0.354576 + 0.935027i \(0.384625\pi\)
\(774\) −22.4037 + 14.0923i −0.805285 + 0.506539i
\(775\) −19.8596 + 15.1974i −0.713380 + 0.545906i
\(776\) −2.32004 4.01843i −0.0832846 0.144253i
\(777\) −27.1649 + 14.0957i −0.974534 + 0.505682i
\(778\) 16.7387 + 9.66411i 0.600113 + 0.346475i
\(779\) 12.7574i 0.457082i
\(780\) −11.7105 5.51112i −0.419302 0.197330i
\(781\) −3.11240 −0.111370
\(782\) 7.84404 4.52876i 0.280502 0.161948i
\(783\) 2.11909 + 3.23142i 0.0757303 + 0.115482i
\(784\) 2.69893 + 6.45877i 0.0963904 + 0.230671i
\(785\) 8.74106 + 13.1006i 0.311982 + 0.467579i
\(786\) −23.3735 + 14.0916i −0.833706 + 0.502632i
\(787\) −17.6587 30.5858i −0.629466 1.09027i −0.987659 0.156620i \(-0.949940\pi\)
0.358193 0.933648i \(-0.383393\pi\)
\(788\) 3.47092 + 6.01181i 0.123646 + 0.214162i
\(789\) 4.01759 + 2.21917i 0.143030 + 0.0790046i
\(790\) 7.71465 + 11.5622i 0.274475 + 0.411366i
\(791\) −3.40017 + 53.1457i −0.120896 + 1.88964i
\(792\) 1.89437 1.19159i 0.0673134 0.0423413i
\(793\) 4.95618 2.86145i 0.175999 0.101613i
\(794\) −36.0286 −1.27861
\(795\) 18.7223 13.0112i 0.664011 0.461459i
\(796\) 4.51077i 0.159880i
\(797\) 14.2561 + 8.23077i 0.504978 + 0.291549i 0.730767 0.682627i \(-0.239163\pi\)
−0.225789 + 0.974176i \(0.572496\pi\)
\(798\) 1.54562 34.3629i 0.0547142 1.21643i
\(799\) −28.1617 48.7775i −0.996289 1.72562i
\(800\) −3.03859 3.97077i −0.107430 0.140388i
\(801\) 21.2486 40.2514i 0.750781 1.42221i
\(802\) 2.72857 + 1.57534i 0.0963492 + 0.0556272i
\(803\) −6.59918 3.81004i −0.232880 0.134453i
\(804\) 4.05385 + 6.72404i 0.142968 + 0.237139i
\(805\) 9.56062 5.53132i 0.336968 0.194953i
\(806\) 14.4744 + 8.35677i 0.509838 + 0.294355i
\(807\) −35.4035 + 21.3444i −1.24626 + 0.751359i
\(808\) −10.9742 −0.386071
\(809\) 21.2722 + 12.2815i 0.747890 + 0.431795i 0.824931 0.565233i \(-0.191214\pi\)
−0.0770407 + 0.997028i \(0.524547\pi\)
\(810\) −12.4048 15.8468i −0.435859 0.556800i
\(811\) 7.28238i 0.255719i 0.991792 + 0.127860i \(0.0408107\pi\)
−0.991792 + 0.127860i \(0.959189\pi\)
\(812\) 1.96358 + 0.125627i 0.0689082 + 0.00440863i
\(813\) 33.9295 0.642781i 1.18996 0.0225433i
\(814\) 4.98201 0.174619
\(815\) −13.7204 + 9.15463i −0.480605 + 0.320673i
\(816\) −8.40125 + 0.159158i −0.294103 + 0.00557166i
\(817\) 33.1115 57.3508i 1.15842 2.00645i
\(818\) 15.9469i 0.557571i
\(819\) −23.3077 + 12.6603i −0.814437 + 0.442386i
\(820\) 3.79242 0.246064i 0.132437 0.00859293i
\(821\) 5.79033 + 3.34305i 0.202084 + 0.116673i 0.597627 0.801774i \(-0.296110\pi\)
−0.395543 + 0.918447i \(0.629444\pi\)
\(822\) 16.3272 9.84350i 0.569477 0.343332i
\(823\) −9.87790 + 5.70301i −0.344322 + 0.198794i −0.662182 0.749343i \(-0.730369\pi\)
0.317860 + 0.948138i \(0.397036\pi\)
\(824\) −6.67426 −0.232509
\(825\) −2.36672 + 6.01134i −0.0823987 + 0.209288i
\(826\) 11.0567 5.47400i 0.384712 0.190465i
\(827\) 9.16990 0.318868 0.159434 0.987209i \(-0.449033\pi\)
0.159434 + 0.987209i \(0.449033\pi\)
\(828\) 2.61479 4.95324i 0.0908703 0.172137i
\(829\) 13.6953 + 7.90700i 0.475659 + 0.274622i 0.718605 0.695418i \(-0.244781\pi\)
−0.242947 + 0.970040i \(0.578114\pi\)
\(830\) 0.379237 + 5.84493i 0.0131635 + 0.202880i
\(831\) 16.7011 30.2356i 0.579354 1.04886i
\(832\) −1.67087 + 2.89402i −0.0579268 + 0.100332i
\(833\) −31.3337 + 13.0934i −1.08565 + 0.453660i
\(834\) 29.0077 0.549540i 1.00446 0.0190290i
\(835\) −33.8193 16.7055i −1.17037 0.578118i
\(836\) −2.79977 + 4.84934i −0.0968320 + 0.167718i
\(837\) 14.2515 + 21.7322i 0.492604 + 0.751176i
\(838\) −17.4629 30.2467i −0.603247 1.04485i
\(839\) 14.0897 + 24.4040i 0.486429 + 0.842520i 0.999878 0.0156002i \(-0.00496589\pi\)
−0.513449 + 0.858120i \(0.671633\pi\)
\(840\) −10.2449 + 0.203321i −0.353484 + 0.00701525i
\(841\) −14.2235 + 24.6358i −0.490464 + 0.849509i
\(842\) −37.3358 −1.28668
\(843\) 4.07732 0.0772432i 0.140430 0.00266040i
\(844\) −7.84794 −0.270137
\(845\) 2.27467 + 3.40914i 0.0782511 + 0.117278i
\(846\) −30.8013 16.2599i −1.05897 0.559026i
\(847\) 24.7623 12.2594i 0.850844 0.421240i
\(848\) −2.94339 5.09811i −0.101077 0.175070i
\(849\) −0.289676 15.2907i −0.00994166 0.524775i
\(850\) 19.2635 14.7412i 0.660733 0.505619i
\(851\) 10.7982 6.23433i 0.370157 0.213710i
\(852\) 7.22511 0.136877i 0.247528 0.00468933i
\(853\) −4.37925 7.58508i −0.149943 0.259708i 0.781263 0.624201i \(-0.214576\pi\)
−0.931206 + 0.364493i \(0.881242\pi\)
\(854\) 2.51141 3.77131i 0.0859388 0.129051i
\(855\) 45.9578 + 20.5743i 1.57172 + 0.703628i
\(856\) 6.82770 + 11.8259i 0.233366 + 0.404202i
\(857\) 31.9068i 1.08992i 0.838464 + 0.544958i \(0.183454\pi\)
−0.838464 + 0.544958i \(0.816546\pi\)
\(858\) 4.31705 0.0817849i 0.147382 0.00279209i
\(859\) 45.7568i 1.56120i −0.625030 0.780601i \(-0.714913\pi\)
0.625030 0.780601i \(-0.285087\pi\)
\(860\) −17.6874 8.73693i −0.603136 0.297927i
\(861\) 4.19339 6.56324i 0.142910 0.223674i
\(862\) −7.75117 + 4.47514i −0.264006 + 0.152424i
\(863\) −21.5708 37.3618i −0.734280 1.27181i −0.955039 0.296481i \(-0.904187\pi\)
0.220759 0.975328i \(-0.429147\pi\)
\(864\) −4.34517 + 2.84947i −0.147826 + 0.0969408i
\(865\) −20.5392 10.1456i −0.698352 0.344960i
\(866\) 6.00301 10.3975i 0.203991 0.353322i
\(867\) −0.214409 11.3177i −0.00728173 0.384369i
\(868\) 13.2056 + 0.844874i 0.448228 + 0.0286769i
\(869\) −4.01591 2.31859i −0.136230 0.0786526i
\(870\) −1.22646 + 2.60609i −0.0415810 + 0.0883548i
\(871\) 15.1483i 0.513282i
\(872\) −5.13894 + 8.90090i −0.174026 + 0.301422i
\(873\) 6.49853 12.3103i 0.219942 0.416639i
\(874\) 14.0142i 0.474036i
\(875\) 23.4752 17.9977i 0.793605 0.608433i
\(876\) 15.4869 + 8.55440i 0.523253 + 0.289026i
\(877\) 18.3979i 0.621255i 0.950532 + 0.310627i \(0.100539\pi\)
−0.950532 + 0.310627i \(0.899461\pi\)
\(878\) 28.3831 16.3870i 0.957882 0.553034i
\(879\) −9.02576 14.9709i −0.304431 0.504954i
\(880\) 1.49557 + 0.738758i 0.0504158 + 0.0249035i
\(881\) 8.81308 0.296920 0.148460 0.988918i \(-0.452568\pi\)
0.148460 + 0.988918i \(0.452568\pi\)
\(882\) −12.0903 + 17.1704i −0.407102 + 0.578159i
\(883\) 2.02023i 0.0679863i −0.999422 0.0339931i \(-0.989178\pi\)
0.999422 0.0339931i \(-0.0108224\pi\)
\(884\) −14.0399 8.10593i −0.472212 0.272632i
\(885\) 1.51051 + 17.9971i 0.0507752 + 0.604964i
\(886\) 3.05270 + 5.28743i 0.102557 + 0.177635i
\(887\) 33.2724i 1.11718i −0.829445 0.558589i \(-0.811343\pi\)
0.829445 0.558589i \(-0.188657\pi\)
\(888\) −11.5652 + 0.219099i −0.388104 + 0.00735248i
\(889\) 2.48725 + 5.02390i 0.0834198 + 0.168496i
\(890\) 33.8542 2.19657i 1.13480 0.0736291i
\(891\) 6.05185 + 2.90719i 0.202744 + 0.0973945i
\(892\) −10.7610 + 18.6387i −0.360306 + 0.624068i
\(893\) 87.1459 2.91623
\(894\) 19.2740 + 31.9694i 0.644618 + 1.06922i
\(895\) 38.0991 + 18.8195i 1.27351 + 0.629068i
\(896\) −0.168925 + 2.64035i −0.00564340 + 0.0882080i
\(897\) 9.25457 5.57948i 0.309001 0.186293i
\(898\) 3.80762 + 2.19833i 0.127062 + 0.0733593i
\(899\) 1.85975 3.22118i 0.0620261 0.107432i
\(900\) 5.22974 14.0588i 0.174325 0.468627i
\(901\) 24.7326 14.2794i 0.823963 0.475715i
\(902\) −1.09801 + 0.633938i −0.0365598 + 0.0211078i
\(903\) −35.8860 + 18.6211i −1.19421 + 0.619671i
\(904\) −10.0641 + 17.4316i −0.334728 + 0.579766i
\(905\) 0.801228 + 12.3488i 0.0266337 + 0.410488i
\(906\) −22.8110 + 13.7525i −0.757844 + 0.456896i
\(907\) 11.1534i 0.370344i −0.982706 0.185172i \(-0.940716\pi\)
0.982706 0.185172i \(-0.0592842\pi\)
\(908\) −6.95237 + 4.01395i −0.230722 + 0.133208i
\(909\) −17.5294 27.8678i −0.581413 0.924318i
\(910\) −17.1302 9.86954i −0.567860 0.327172i
\(911\) 33.9893 19.6237i 1.12612 0.650163i 0.183160 0.983083i \(-0.441367\pi\)
0.942955 + 0.332920i \(0.108034\pi\)
\(912\) 6.28612 11.3804i 0.208154 0.376842i
\(913\) −0.977033 1.69227i −0.0323351 0.0560060i
\(914\) 28.7983 16.6267i 0.952564 0.549963i
\(915\) 3.78515 + 5.44660i 0.125133 + 0.180059i
\(916\) 16.6860 9.63368i 0.551322 0.318306i
\(917\) −37.3622 + 18.4975i −1.23381 + 0.610840i
\(918\) −13.8237 21.0799i −0.456251 0.695740i
\(919\) −13.5598 23.4863i −0.447298 0.774743i 0.550911 0.834564i \(-0.314280\pi\)
−0.998209 + 0.0598209i \(0.980947\pi\)
\(920\) 4.16601 0.270304i 0.137349 0.00891165i
\(921\) −16.2658 8.98464i −0.535976 0.296054i
\(922\) 12.4447 0.409844
\(923\) 12.0744 + 6.97114i 0.397432 + 0.229458i
\(924\) 3.03437 1.57452i 0.0998234 0.0517980i
\(925\) 26.5183 20.2929i 0.871918 0.667226i
\(926\) 2.79388 1.61305i 0.0918126 0.0530080i
\(927\) −10.6610 16.9486i −0.350153 0.556665i
\(928\) 0.644047 + 0.371841i 0.0211419 + 0.0122063i
\(929\) 22.0537 38.1982i 0.723559 1.25324i −0.236005 0.971752i \(-0.575838\pi\)
0.959564 0.281490i \(-0.0908285\pi\)
\(930\) −8.24832 + 17.5267i −0.270473 + 0.574723i
\(931\) 6.69585 52.1149i 0.219448 1.70800i
\(932\) 0.572350 0.991339i 0.0187479 0.0324724i
\(933\) 0.163715 + 8.64176i 0.00535978 + 0.282918i
\(934\) 41.6247i 1.36200i
\(935\) −3.58396 + 7.25553i −0.117208 + 0.237281i
\(936\) −10.0180 + 0.379711i −0.327449 + 0.0124112i
\(937\) −31.2098 −1.01958 −0.509789 0.860299i \(-0.670277\pi\)
−0.509789 + 0.860299i \(0.670277\pi\)
\(938\) 5.32131 + 10.7483i 0.173747 + 0.350944i
\(939\) 29.8250 17.9812i 0.973303 0.586793i
\(940\) −1.68086 25.9060i −0.0548237 0.844961i
\(941\) 3.25513 + 5.63804i 0.106114 + 0.183795i 0.914193 0.405280i \(-0.132826\pi\)
−0.808079 + 0.589074i \(0.799492\pi\)
\(942\) 10.6784 + 5.89836i 0.347921 + 0.192179i
\(943\) −1.58658 + 2.74803i −0.0516661 + 0.0894883i
\(944\) 4.66316 0.151773
\(945\) −16.8808 25.6912i −0.549133 0.835735i
\(946\) 6.58146 0.213982
\(947\) −16.7485 + 29.0092i −0.544252 + 0.942672i 0.454402 + 0.890797i \(0.349853\pi\)
−0.998654 + 0.0518752i \(0.983480\pi\)
\(948\) 9.42449 + 5.20575i 0.306093 + 0.169075i
\(949\) 17.0674 + 29.5616i 0.554032 + 0.959611i
\(950\) 4.84983 + 37.2163i 0.157349 + 1.20745i
\(951\) 38.5817 23.2605i 1.25110 0.754272i
\(952\) −12.8092 0.819513i −0.415150 0.0265606i
\(953\) 9.08698 0.294356 0.147178 0.989110i \(-0.452981\pi\)
0.147178 + 0.989110i \(0.452981\pi\)
\(954\) 8.24456 15.6178i 0.266928 0.505645i
\(955\) −40.1447 19.8300i −1.29905 0.641684i
\(956\) 11.7776i 0.380915i
\(957\) −0.0182007 0.960733i −0.000588345 0.0310561i
\(958\) 11.5051 19.9275i 0.371714 0.643827i
\(959\) 26.0988 12.9211i 0.842774 0.417245i
\(960\) −3.50431 1.64918i −0.113101 0.0532271i
\(961\) −2.99268 + 5.18347i −0.0965380 + 0.167209i
\(962\) −19.3274 11.1587i −0.623141 0.359771i
\(963\) −19.1247 + 36.2281i −0.616283 + 1.16743i
\(964\) 19.9120 11.4962i 0.641323 0.370268i
\(965\) −35.3667 + 23.5976i −1.13849 + 0.759634i
\(966\) 4.60648 7.20978i 0.148211 0.231971i
\(967\) 0.584986 + 0.337742i 0.0188119 + 0.0108610i 0.509376 0.860544i \(-0.329876\pi\)
−0.490565 + 0.871405i \(0.663209\pi\)
\(968\) 10.4435 0.335667
\(969\) 55.2101 + 30.4961i 1.77360 + 0.979674i
\(970\) 10.3538 0.671785i 0.332440 0.0215697i
\(971\) 3.90049 + 6.75585i 0.125173 + 0.216805i 0.921800 0.387665i \(-0.126718\pi\)
−0.796628 + 0.604470i \(0.793385\pi\)
\(972\) −14.1766 6.48260i −0.454715 0.207929i
\(973\) 44.2276 + 2.82960i 1.41787 + 0.0907129i
\(974\) −9.17108 + 5.29492i −0.293860 + 0.169660i
\(975\) 22.6457 18.0197i 0.725244 0.577091i
\(976\) 1.48312 0.856279i 0.0474734 0.0274088i
\(977\) −22.7250 39.3609i −0.727037 1.25927i −0.958130 0.286334i \(-0.907563\pi\)
0.231093 0.972932i \(-0.425770\pi\)
\(978\) −6.17743 + 11.1836i −0.197532 + 0.357613i
\(979\) −9.80175 + 5.65904i −0.313265 + 0.180864i
\(980\) −15.6214 0.985300i −0.499008 0.0314743i
\(981\) −30.8115 + 1.16784i −0.983735 + 0.0372864i
\(982\) −2.99490 + 1.72911i −0.0955713 + 0.0551781i
\(983\) 59.2020i 1.88825i 0.329587 + 0.944125i \(0.393091\pi\)
−0.329587 + 0.944125i \(0.606909\pi\)
\(984\) 2.52105 1.51991i 0.0803680 0.0484530i
\(985\) −15.4899 + 1.00503i −0.493548 + 0.0320229i
\(986\) −1.80392 + 3.12449i −0.0574486 + 0.0995039i
\(987\) −44.8334 28.6450i −1.42706 0.911781i
\(988\) 21.7231 12.5418i 0.691103 0.399009i
\(989\) 14.2649 8.23582i 0.453596 0.261884i
\(990\) 0.512919 + 4.97790i 0.0163016 + 0.158208i
\(991\) −3.52175 + 6.09985i −0.111872 + 0.193768i −0.916525 0.399977i \(-0.869018\pi\)
0.804653 + 0.593745i \(0.202351\pi\)
\(992\) 4.33139 + 2.50073i 0.137522 + 0.0793983i
\(993\) 19.8736 11.9816i 0.630668 0.380223i
\(994\) 11.0160 + 0.704785i 0.349406 + 0.0223544i
\(995\) −9.04328 4.46705i −0.286691 0.141615i
\(996\) 2.34251 + 3.88547i 0.0742251 + 0.123116i
\(997\) 43.8171 1.38770 0.693851 0.720119i \(-0.255913\pi\)
0.693851 + 0.720119i \(0.255913\pi\)
\(998\) 7.23460 12.5307i 0.229007 0.396652i
\(999\) −19.0299 29.0188i −0.602078 0.918114i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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.r.a.59.4 48
3.2 odd 2 1890.2.r.b.1529.1 48
5.4 even 2 630.2.r.b.59.21 yes 48
7.5 odd 6 630.2.bi.b.509.5 yes 48
9.2 odd 6 630.2.bi.a.479.20 yes 48
9.7 even 3 1890.2.bi.b.899.9 48
15.14 odd 2 1890.2.r.a.1529.1 48
21.5 even 6 1890.2.bi.a.719.7 48
35.19 odd 6 630.2.bi.a.509.20 yes 48
45.29 odd 6 630.2.bi.b.479.5 yes 48
45.34 even 6 1890.2.bi.a.899.7 48
63.47 even 6 630.2.r.b.299.21 yes 48
63.61 odd 6 1890.2.r.a.89.1 48
105.89 even 6 1890.2.bi.b.719.9 48
315.124 odd 6 1890.2.r.b.89.1 48
315.299 even 6 inner 630.2.r.a.299.4 yes 48
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
630.2.r.a.59.4 48 1.1 even 1 trivial
630.2.r.a.299.4 yes 48 315.299 even 6 inner
630.2.r.b.59.21 yes 48 5.4 even 2
630.2.r.b.299.21 yes 48 63.47 even 6
630.2.bi.a.479.20 yes 48 9.2 odd 6
630.2.bi.a.509.20 yes 48 35.19 odd 6
630.2.bi.b.479.5 yes 48 45.29 odd 6
630.2.bi.b.509.5 yes 48 7.5 odd 6
1890.2.r.a.89.1 48 63.61 odd 6
1890.2.r.a.1529.1 48 15.14 odd 2
1890.2.r.b.89.1 48 315.124 odd 6
1890.2.r.b.1529.1 48 3.2 odd 2
1890.2.bi.a.719.7 48 21.5 even 6
1890.2.bi.a.899.7 48 45.34 even 6
1890.2.bi.b.719.9 48 105.89 even 6
1890.2.bi.b.899.9 48 9.7 even 3