Properties

Label 630.2.ba.a.499.12
Level $630$
Weight $2$
Character 630.499
Analytic conductor $5.031$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [630,2,Mod(499,630)]
 
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([2, 3, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("630.499");
 
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.ba (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: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 499.12
Character \(\chi\) \(=\) 630.499
Dual form 630.2.ba.a.529.36

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q-1.00000i q^{2} +(0.249049 - 1.71405i) q^{3} -1.00000 q^{4} +(-2.03021 - 0.937140i) q^{5} +(-1.71405 - 0.249049i) q^{6} +(-0.981558 + 2.45694i) q^{7} +1.00000i q^{8} +(-2.87595 - 0.853766i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(0.249049 - 1.71405i) q^{3} -1.00000 q^{4} +(-2.03021 - 0.937140i) q^{5} +(-1.71405 - 0.249049i) q^{6} +(-0.981558 + 2.45694i) q^{7} +1.00000i q^{8} +(-2.87595 - 0.853766i) q^{9} +(-0.937140 + 2.03021i) q^{10} +(-0.930226 + 1.61120i) q^{11} +(-0.249049 + 1.71405i) q^{12} +(2.13798 + 1.23436i) q^{13} +(2.45694 + 0.981558i) q^{14} +(-2.11193 + 3.24650i) q^{15} +1.00000 q^{16} +(-6.17648 + 3.56599i) q^{17} +(-0.853766 + 2.87595i) q^{18} +(2.57424 - 4.45871i) q^{19} +(2.03021 + 0.937140i) q^{20} +(3.96686 + 2.29434i) q^{21} +(1.61120 + 0.930226i) q^{22} +(-3.49065 + 2.01533i) q^{23} +(1.71405 + 0.249049i) q^{24} +(3.24354 + 3.80519i) q^{25} +(1.23436 - 2.13798i) q^{26} +(-2.17965 + 4.71690i) q^{27} +(0.981558 - 2.45694i) q^{28} +(-0.563512 - 0.976031i) q^{29} +(3.24650 + 2.11193i) q^{30} +0.0248928 q^{31} -1.00000i q^{32} +(2.53001 + 1.99572i) q^{33} +(3.56599 + 6.17648i) q^{34} +(4.29527 - 4.06825i) q^{35} +(2.87595 + 0.853766i) q^{36} +(-0.142548 - 0.0823004i) q^{37} +(-4.45871 - 2.57424i) q^{38} +(2.64822 - 3.35719i) q^{39} +(0.937140 - 2.03021i) q^{40} +(-2.73422 + 4.73581i) q^{41} +(2.29434 - 3.96686i) q^{42} +(-5.90484 + 3.40916i) q^{43} +(0.930226 - 1.61120i) q^{44} +(5.03869 + 4.42849i) q^{45} +(2.01533 + 3.49065i) q^{46} -12.5226i q^{47} +(0.249049 - 1.71405i) q^{48} +(-5.07309 - 4.82326i) q^{49} +(3.80519 - 3.24354i) q^{50} +(4.57405 + 11.4749i) q^{51} +(-2.13798 - 1.23436i) q^{52} +(-2.19776 + 1.26888i) q^{53} +(4.71690 + 2.17965i) q^{54} +(3.39848 - 2.39933i) q^{55} +(-2.45694 - 0.981558i) q^{56} +(-7.00135 - 5.52282i) q^{57} +(-0.976031 + 0.563512i) q^{58} +8.64779 q^{59} +(2.11193 - 3.24650i) q^{60} -6.43535 q^{61} -0.0248928i q^{62} +(4.92056 - 6.22801i) q^{63} -1.00000 q^{64} +(-3.18378 - 4.50960i) q^{65} +(1.99572 - 2.53001i) q^{66} +15.7434i q^{67} +(6.17648 - 3.56599i) q^{68} +(2.58503 + 6.48506i) q^{69} +(-4.06825 - 4.29527i) q^{70} -10.0316 q^{71} +(0.853766 - 2.87595i) q^{72} +(8.79348 - 5.07692i) q^{73} +(-0.0823004 + 0.142548i) q^{74} +(7.33009 - 4.61192i) q^{75} +(-2.57424 + 4.45871i) q^{76} +(-3.04554 - 3.86699i) q^{77} +(-3.35719 - 2.64822i) q^{78} -12.6647 q^{79} +(-2.03021 - 0.937140i) q^{80} +(7.54217 + 4.91077i) q^{81} +(4.73581 + 2.73422i) q^{82} +(-14.2772 + 8.24296i) q^{83} +(-3.96686 - 2.29434i) q^{84} +(15.8814 - 1.45150i) q^{85} +(3.40916 + 5.90484i) q^{86} +(-1.81331 + 0.722809i) q^{87} +(-1.61120 - 0.930226i) q^{88} +(2.70604 - 4.68699i) q^{89} +(4.42849 - 5.03869i) q^{90} +(-5.13130 + 4.04128i) q^{91} +(3.49065 - 2.01533i) q^{92} +(0.00619952 - 0.0426675i) q^{93} -12.5226 q^{94} +(-9.40469 + 6.63972i) q^{95} +(-1.71405 - 0.249049i) q^{96} +(3.56475 - 2.05811i) q^{97} +(-4.82326 + 5.07309i) q^{98} +(4.05087 - 3.83953i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 96 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 96 q^{4} - 4 q^{6} + 8 q^{9} + 4 q^{11} - 2 q^{14} - 2 q^{15} + 96 q^{16} + 8 q^{21} + 4 q^{24} + 24 q^{26} + 10 q^{29} + 10 q^{30} - 34 q^{35} - 8 q^{36} + 44 q^{39} + 30 q^{41} - 4 q^{44} - 44 q^{45} - 6 q^{46} - 6 q^{49} - 12 q^{50} + 28 q^{51} - 8 q^{54} + 12 q^{55} + 2 q^{56} + 48 q^{59} + 2 q^{60} + 12 q^{61} - 96 q^{64} - 36 q^{65} + 32 q^{66} + 36 q^{69} + 6 q^{70} - 32 q^{71} - 68 q^{75} - 32 q^{81} - 8 q^{84} + 4 q^{86} - 66 q^{89} - 22 q^{90} + 24 q^{94} - 60 q^{95} - 4 q^{96} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 0.249049 1.71405i 0.143788 0.989608i
\(4\) −1.00000 −0.500000
\(5\) −2.03021 0.937140i −0.907939 0.419102i
\(6\) −1.71405 0.249049i −0.699759 0.101674i
\(7\) −0.981558 + 2.45694i −0.370994 + 0.928635i
\(8\) 1.00000i 0.353553i
\(9\) −2.87595 0.853766i −0.958650 0.284589i
\(10\) −0.937140 + 2.03021i −0.296350 + 0.642010i
\(11\) −0.930226 + 1.61120i −0.280474 + 0.485795i −0.971501 0.237033i \(-0.923825\pi\)
0.691028 + 0.722828i \(0.257158\pi\)
\(12\) −0.249049 + 1.71405i −0.0718942 + 0.494804i
\(13\) 2.13798 + 1.23436i 0.592968 + 0.342350i 0.766270 0.642519i \(-0.222110\pi\)
−0.173302 + 0.984869i \(0.555444\pi\)
\(14\) 2.45694 + 0.981558i 0.656644 + 0.262332i
\(15\) −2.11193 + 3.24650i −0.545298 + 0.838242i
\(16\) 1.00000 0.250000
\(17\) −6.17648 + 3.56599i −1.49802 + 0.864881i −0.999997 0.00228505i \(-0.999273\pi\)
−0.498020 + 0.867166i \(0.665939\pi\)
\(18\) −0.853766 + 2.87595i −0.201235 + 0.677868i
\(19\) 2.57424 4.45871i 0.590571 1.02290i −0.403585 0.914942i \(-0.632236\pi\)
0.994156 0.107956i \(-0.0344307\pi\)
\(20\) 2.03021 + 0.937140i 0.453970 + 0.209551i
\(21\) 3.96686 + 2.29434i 0.865641 + 0.500666i
\(22\) 1.61120 + 0.930226i 0.343509 + 0.198325i
\(23\) −3.49065 + 2.01533i −0.727850 + 0.420224i −0.817635 0.575737i \(-0.804715\pi\)
0.0897851 + 0.995961i \(0.471382\pi\)
\(24\) 1.71405 + 0.249049i 0.349879 + 0.0508369i
\(25\) 3.24354 + 3.80519i 0.648708 + 0.761038i
\(26\) 1.23436 2.13798i 0.242078 0.419291i
\(27\) −2.17965 + 4.71690i −0.419474 + 0.907767i
\(28\) 0.981558 2.45694i 0.185497 0.464318i
\(29\) −0.563512 0.976031i −0.104641 0.181244i 0.808950 0.587877i \(-0.200036\pi\)
−0.913592 + 0.406633i \(0.866703\pi\)
\(30\) 3.24650 + 2.11193i 0.592727 + 0.385584i
\(31\) 0.0248928 0.00447087 0.00223544 0.999998i \(-0.499288\pi\)
0.00223544 + 0.999998i \(0.499288\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 2.53001 + 1.99572i 0.440418 + 0.347411i
\(34\) 3.56599 + 6.17648i 0.611563 + 1.05926i
\(35\) 4.29527 4.06825i 0.726033 0.687660i
\(36\) 2.87595 + 0.853766i 0.479325 + 0.142294i
\(37\) −0.142548 0.0823004i −0.0234348 0.0135301i 0.488237 0.872711i \(-0.337640\pi\)
−0.511672 + 0.859181i \(0.670974\pi\)
\(38\) −4.45871 2.57424i −0.723299 0.417597i
\(39\) 2.64822 3.35719i 0.424054 0.537580i
\(40\) 0.937140 2.03021i 0.148175 0.321005i
\(41\) −2.73422 + 4.73581i −0.427013 + 0.739609i −0.996606 0.0823184i \(-0.973768\pi\)
0.569593 + 0.821927i \(0.307101\pi\)
\(42\) 2.29434 3.96686i 0.354024 0.612100i
\(43\) −5.90484 + 3.40916i −0.900480 + 0.519892i −0.877356 0.479840i \(-0.840695\pi\)
−0.0231240 + 0.999733i \(0.507361\pi\)
\(44\) 0.930226 1.61120i 0.140237 0.242897i
\(45\) 5.03869 + 4.42849i 0.751124 + 0.660161i
\(46\) 2.01533 + 3.49065i 0.297144 + 0.514668i
\(47\) 12.5226i 1.82661i −0.407272 0.913307i \(-0.633520\pi\)
0.407272 0.913307i \(-0.366480\pi\)
\(48\) 0.249049 1.71405i 0.0359471 0.247402i
\(49\) −5.07309 4.82326i −0.724727 0.689036i
\(50\) 3.80519 3.24354i 0.538135 0.458706i
\(51\) 4.57405 + 11.4749i 0.640496 + 1.60681i
\(52\) −2.13798 1.23436i −0.296484 0.171175i
\(53\) −2.19776 + 1.26888i −0.301885 + 0.174294i −0.643290 0.765623i \(-0.722431\pi\)
0.341404 + 0.939917i \(0.389098\pi\)
\(54\) 4.71690 + 2.17965i 0.641888 + 0.296613i
\(55\) 3.39848 2.39933i 0.458251 0.323525i
\(56\) −2.45694 0.981558i −0.328322 0.131166i
\(57\) −7.00135 5.52282i −0.927352 0.731515i
\(58\) −0.976031 + 0.563512i −0.128159 + 0.0739927i
\(59\) 8.64779 1.12585 0.562923 0.826509i \(-0.309677\pi\)
0.562923 + 0.826509i \(0.309677\pi\)
\(60\) 2.11193 3.24650i 0.272649 0.419121i
\(61\) −6.43535 −0.823963 −0.411981 0.911192i \(-0.635163\pi\)
−0.411981 + 0.911192i \(0.635163\pi\)
\(62\) 0.0248928i 0.00316139i
\(63\) 4.92056 6.22801i 0.619932 0.784655i
\(64\) −1.00000 −0.125000
\(65\) −3.18378 4.50960i −0.394899 0.559347i
\(66\) 1.99572 2.53001i 0.245657 0.311422i
\(67\) 15.7434i 1.92336i 0.274178 + 0.961679i \(0.411594\pi\)
−0.274178 + 0.961679i \(0.588406\pi\)
\(68\) 6.17648 3.56599i 0.749009 0.432440i
\(69\) 2.58503 + 6.48506i 0.311201 + 0.780710i
\(70\) −4.06825 4.29527i −0.486249 0.513383i
\(71\) −10.0316 −1.19053 −0.595264 0.803531i \(-0.702952\pi\)
−0.595264 + 0.803531i \(0.702952\pi\)
\(72\) 0.853766 2.87595i 0.100617 0.338934i
\(73\) 8.79348 5.07692i 1.02920 0.594208i 0.112444 0.993658i \(-0.464132\pi\)
0.916755 + 0.399450i \(0.130799\pi\)
\(74\) −0.0823004 + 0.142548i −0.00956722 + 0.0165709i
\(75\) 7.33009 4.61192i 0.846406 0.532538i
\(76\) −2.57424 + 4.45871i −0.295285 + 0.511449i
\(77\) −3.04554 3.86699i −0.347072 0.440685i
\(78\) −3.35719 2.64822i −0.380126 0.299852i
\(79\) −12.6647 −1.42489 −0.712443 0.701730i \(-0.752411\pi\)
−0.712443 + 0.701730i \(0.752411\pi\)
\(80\) −2.03021 0.937140i −0.226985 0.104775i
\(81\) 7.54217 + 4.91077i 0.838019 + 0.545642i
\(82\) 4.73581 + 2.73422i 0.522982 + 0.301944i
\(83\) −14.2772 + 8.24296i −1.56713 + 0.904783i −0.570628 + 0.821209i \(0.693300\pi\)
−0.996502 + 0.0835738i \(0.973367\pi\)
\(84\) −3.96686 2.29434i −0.432820 0.250333i
\(85\) 15.8814 1.45150i 1.72258 0.157438i
\(86\) 3.40916 + 5.90484i 0.367619 + 0.636735i
\(87\) −1.81331 + 0.722809i −0.194407 + 0.0774932i
\(88\) −1.61120 0.930226i −0.171754 0.0991624i
\(89\) 2.70604 4.68699i 0.286839 0.496820i −0.686214 0.727400i \(-0.740729\pi\)
0.973054 + 0.230579i \(0.0740621\pi\)
\(90\) 4.42849 5.03869i 0.466804 0.531125i
\(91\) −5.13130 + 4.04128i −0.537906 + 0.423641i
\(92\) 3.49065 2.01533i 0.363925 0.210112i
\(93\) 0.00619952 0.0426675i 0.000642860 0.00442442i
\(94\) −12.5226 −1.29161
\(95\) −9.40469 + 6.63972i −0.964901 + 0.681221i
\(96\) −1.71405 0.249049i −0.174940 0.0254185i
\(97\) 3.56475 2.05811i 0.361945 0.208969i −0.307989 0.951390i \(-0.599656\pi\)
0.669934 + 0.742421i \(0.266323\pi\)
\(98\) −4.82326 + 5.07309i −0.487222 + 0.512459i
\(99\) 4.05087 3.83953i 0.407128 0.385887i
\(100\) −3.24354 3.80519i −0.324354 0.380519i
\(101\) 1.58656 2.74800i 0.157868 0.273436i −0.776231 0.630448i \(-0.782871\pi\)
0.934100 + 0.357012i \(0.116204\pi\)
\(102\) 11.4749 4.57405i 1.13619 0.452899i
\(103\) −8.39761 + 4.84836i −0.827441 + 0.477724i −0.852976 0.521950i \(-0.825205\pi\)
0.0255344 + 0.999674i \(0.491871\pi\)
\(104\) −1.23436 + 2.13798i −0.121039 + 0.209646i
\(105\) −5.90347 8.37551i −0.576119 0.817366i
\(106\) 1.26888 + 2.19776i 0.123244 + 0.213465i
\(107\) 3.50826 + 2.02550i 0.339156 + 0.195812i 0.659899 0.751354i \(-0.270599\pi\)
−0.320743 + 0.947166i \(0.603932\pi\)
\(108\) 2.17965 4.71690i 0.209737 0.453884i
\(109\) −3.82986 6.63352i −0.366835 0.635376i 0.622234 0.782831i \(-0.286225\pi\)
−0.989069 + 0.147455i \(0.952892\pi\)
\(110\) −2.39933 3.39848i −0.228767 0.324032i
\(111\) −0.176569 + 0.223839i −0.0167592 + 0.0212458i
\(112\) −0.981558 + 2.45694i −0.0927485 + 0.232159i
\(113\) −13.1907 7.61565i −1.24088 0.716420i −0.271604 0.962409i \(-0.587554\pi\)
−0.969273 + 0.245989i \(0.920887\pi\)
\(114\) −5.52282 + 7.00135i −0.517259 + 0.655737i
\(115\) 8.97540 0.820319i 0.836960 0.0764951i
\(116\) 0.563512 + 0.976031i 0.0523207 + 0.0906222i
\(117\) −5.09485 5.37529i −0.471019 0.496946i
\(118\) 8.64779i 0.796094i
\(119\) −2.69885 18.6755i −0.247403 1.71198i
\(120\) −3.24650 2.11193i −0.296363 0.192792i
\(121\) 3.76936 + 6.52872i 0.342669 + 0.593520i
\(122\) 6.43535i 0.582629i
\(123\) 7.43646 + 5.86604i 0.670523 + 0.528923i
\(124\) −0.0248928 −0.00223544
\(125\) −3.01908 10.7650i −0.270035 0.962850i
\(126\) −6.22801 4.92056i −0.554835 0.438358i
\(127\) 5.86205i 0.520173i 0.965585 + 0.260087i \(0.0837511\pi\)
−0.965585 + 0.260087i \(0.916249\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 4.37289 + 10.9703i 0.385011 + 0.965877i
\(130\) −4.50960 + 3.18378i −0.395518 + 0.279236i
\(131\) 8.44770 + 14.6319i 0.738079 + 1.27839i 0.953359 + 0.301839i \(0.0976004\pi\)
−0.215280 + 0.976552i \(0.569066\pi\)
\(132\) −2.53001 1.99572i −0.220209 0.173705i
\(133\) 8.42801 + 10.7012i 0.730801 + 0.927914i
\(134\) 15.7434 1.36002
\(135\) 8.84555 7.53367i 0.761304 0.648395i
\(136\) −3.56599 6.17648i −0.305781 0.529629i
\(137\) 4.14127 + 2.39097i 0.353813 + 0.204274i 0.666363 0.745627i \(-0.267850\pi\)
−0.312550 + 0.949901i \(0.601183\pi\)
\(138\) 6.48506 2.58503i 0.552045 0.220052i
\(139\) 0.819319 1.41910i 0.0694937 0.120367i −0.829185 0.558975i \(-0.811195\pi\)
0.898679 + 0.438608i \(0.144528\pi\)
\(140\) −4.29527 + 4.06825i −0.363016 + 0.343830i
\(141\) −21.4644 3.11875i −1.80763 0.262646i
\(142\) 10.0316i 0.841830i
\(143\) −3.97760 + 2.29647i −0.332624 + 0.192040i
\(144\) −2.87595 0.853766i −0.239662 0.0711471i
\(145\) 0.229372 + 2.50964i 0.0190483 + 0.208414i
\(146\) −5.07692 8.79348i −0.420169 0.727754i
\(147\) −9.53076 + 7.49431i −0.786084 + 0.618120i
\(148\) 0.142548 + 0.0823004i 0.0117174 + 0.00676505i
\(149\) −0.566188 0.980667i −0.0463840 0.0803394i 0.841901 0.539632i \(-0.181436\pi\)
−0.888285 + 0.459292i \(0.848103\pi\)
\(150\) −4.61192 7.33009i −0.376561 0.598499i
\(151\) −0.764783 + 1.32464i −0.0622372 + 0.107798i −0.895465 0.445132i \(-0.853157\pi\)
0.833228 + 0.552930i \(0.186490\pi\)
\(152\) 4.45871 + 2.57424i 0.361649 + 0.208798i
\(153\) 20.8078 4.98235i 1.68221 0.402799i
\(154\) −3.86699 + 3.04554i −0.311611 + 0.245417i
\(155\) −0.0505377 0.0233280i −0.00405928 0.00187375i
\(156\) −2.64822 + 3.35719i −0.212027 + 0.268790i
\(157\) 1.85828i 0.148307i −0.997247 0.0741533i \(-0.976375\pi\)
0.997247 0.0741533i \(-0.0236254\pi\)
\(158\) 12.6647i 1.00755i
\(159\) 1.62757 + 4.08308i 0.129075 + 0.323810i
\(160\) −0.937140 + 2.03021i −0.0740874 + 0.160503i
\(161\) −1.52526 10.5545i −0.120207 0.831808i
\(162\) 4.91077 7.54217i 0.385827 0.592569i
\(163\) −19.5044 11.2609i −1.52771 0.882021i −0.999458 0.0329304i \(-0.989516\pi\)
−0.528247 0.849090i \(-0.677151\pi\)
\(164\) 2.73422 4.73581i 0.213507 0.369804i
\(165\) −3.26618 6.42272i −0.254272 0.500008i
\(166\) 8.24296 + 14.2772i 0.639778 + 1.10813i
\(167\) 1.38259 + 0.798239i 0.106988 + 0.0617696i 0.552539 0.833487i \(-0.313659\pi\)
−0.445551 + 0.895256i \(0.646992\pi\)
\(168\) −2.29434 + 3.96686i −0.177012 + 0.306050i
\(169\) −3.45271 5.98026i −0.265593 0.460020i
\(170\) −1.45150 15.8814i −0.111325 1.21805i
\(171\) −11.2101 + 10.6252i −0.857256 + 0.812532i
\(172\) 5.90484 3.40916i 0.450240 0.259946i
\(173\) 22.5323i 1.71310i −0.516066 0.856549i \(-0.672604\pi\)
0.516066 0.856549i \(-0.327396\pi\)
\(174\) 0.722809 + 1.81331i 0.0547960 + 0.137467i
\(175\) −12.5328 + 4.23416i −0.947393 + 0.320072i
\(176\) −0.930226 + 1.61120i −0.0701184 + 0.121449i
\(177\) 2.15372 14.8228i 0.161884 1.11415i
\(178\) −4.68699 2.70604i −0.351305 0.202826i
\(179\) −7.22646 12.5166i −0.540131 0.935534i −0.998896 0.0469763i \(-0.985041\pi\)
0.458765 0.888557i \(-0.348292\pi\)
\(180\) −5.03869 4.42849i −0.375562 0.330080i
\(181\) 3.56702 0.265134 0.132567 0.991174i \(-0.457678\pi\)
0.132567 + 0.991174i \(0.457678\pi\)
\(182\) 4.04128 + 5.13130i 0.299559 + 0.380357i
\(183\) −1.60272 + 11.0305i −0.118476 + 0.815400i
\(184\) −2.01533 3.49065i −0.148572 0.257334i
\(185\) 0.212277 + 0.300675i 0.0156069 + 0.0221061i
\(186\) −0.0426675 0.00619952i −0.00312853 0.000454571i
\(187\) 13.2687i 0.970305i
\(188\) 12.5226i 0.913307i
\(189\) −9.44967 9.98518i −0.687362 0.726315i
\(190\) 6.63972 + 9.40469i 0.481696 + 0.682288i
\(191\) −1.91746 −0.138743 −0.0693713 0.997591i \(-0.522099\pi\)
−0.0693713 + 0.997591i \(0.522099\pi\)
\(192\) −0.249049 + 1.71405i −0.0179736 + 0.123701i
\(193\) 14.2477i 1.02557i −0.858516 0.512787i \(-0.828613\pi\)
0.858516 0.512787i \(-0.171387\pi\)
\(194\) −2.05811 3.56475i −0.147763 0.255934i
\(195\) −8.52260 + 4.33405i −0.610316 + 0.310368i
\(196\) 5.07309 + 4.82326i 0.362363 + 0.344518i
\(197\) 13.4264i 0.956590i −0.878199 0.478295i \(-0.841255\pi\)
0.878199 0.478295i \(-0.158745\pi\)
\(198\) −3.83953 4.05087i −0.272864 0.287883i
\(199\) −3.33319 5.77325i −0.236283 0.409255i 0.723361 0.690470i \(-0.242596\pi\)
−0.959645 + 0.281215i \(0.909263\pi\)
\(200\) −3.80519 + 3.24354i −0.269067 + 0.229353i
\(201\) 26.9849 + 3.92087i 1.90337 + 0.276557i
\(202\) −2.74800 1.58656i −0.193349 0.111630i
\(203\) 2.95117 0.426482i 0.207131 0.0299332i
\(204\) −4.57405 11.4749i −0.320248 0.803405i
\(205\) 9.98916 7.05235i 0.697673 0.492558i
\(206\) 4.84836 + 8.39761i 0.337802 + 0.585089i
\(207\) 11.7595 2.81578i 0.817344 0.195710i
\(208\) 2.13798 + 1.23436i 0.148242 + 0.0855875i
\(209\) 4.78925 + 8.29522i 0.331279 + 0.573792i
\(210\) −8.37551 + 5.90347i −0.577965 + 0.407378i
\(211\) 2.20274 3.81526i 0.151643 0.262653i −0.780189 0.625544i \(-0.784877\pi\)
0.931832 + 0.362891i \(0.118210\pi\)
\(212\) 2.19776 1.26888i 0.150943 0.0871468i
\(213\) −2.49835 + 17.1946i −0.171184 + 1.17816i
\(214\) 2.02550 3.50826i 0.138460 0.239820i
\(215\) 15.1830 1.38767i 1.03547 0.0946381i
\(216\) −4.71690 2.17965i −0.320944 0.148306i
\(217\) −0.0244337 + 0.0611600i −0.00165867 + 0.00415181i
\(218\) −6.63352 + 3.82986i −0.449279 + 0.259391i
\(219\) −6.51210 16.3369i −0.440047 1.10394i
\(220\) −3.39848 + 2.39933i −0.229125 + 0.161763i
\(221\) −17.6069 −1.18437
\(222\) 0.223839 + 0.176569i 0.0150231 + 0.0118505i
\(223\) 10.8925 6.28877i 0.729413 0.421127i −0.0887942 0.996050i \(-0.528301\pi\)
0.818207 + 0.574923i \(0.194968\pi\)
\(224\) 2.45694 + 0.981558i 0.164161 + 0.0655831i
\(225\) −6.07951 13.7128i −0.405301 0.914183i
\(226\) −7.61565 + 13.1907i −0.506586 + 0.877432i
\(227\) −2.95515 1.70616i −0.196140 0.113242i 0.398714 0.917076i \(-0.369457\pi\)
−0.594854 + 0.803834i \(0.702790\pi\)
\(228\) 7.00135 + 5.52282i 0.463676 + 0.365757i
\(229\) 12.0334 + 20.8424i 0.795187 + 1.37731i 0.922720 + 0.385471i \(0.125961\pi\)
−0.127533 + 0.991834i \(0.540706\pi\)
\(230\) −0.820319 8.97540i −0.0540902 0.591820i
\(231\) −7.38672 + 4.25715i −0.486010 + 0.280100i
\(232\) 0.976031 0.563512i 0.0640796 0.0369964i
\(233\) 20.5971 + 11.8917i 1.34936 + 0.779054i 0.988159 0.153433i \(-0.0490330\pi\)
0.361202 + 0.932487i \(0.382366\pi\)
\(234\) −5.37529 + 5.09485i −0.351394 + 0.333061i
\(235\) −11.7355 + 25.4236i −0.765537 + 1.65845i
\(236\) −8.64779 −0.562923
\(237\) −3.15412 + 21.7079i −0.204882 + 1.41008i
\(238\) −18.6755 + 2.69885i −1.21055 + 0.174940i
\(239\) −11.4772 + 19.8792i −0.742401 + 1.28588i 0.208998 + 0.977916i \(0.432980\pi\)
−0.951399 + 0.307960i \(0.900354\pi\)
\(240\) −2.11193 + 3.24650i −0.136324 + 0.209561i
\(241\) 6.08000 10.5309i 0.391647 0.678353i −0.601020 0.799234i \(-0.705239\pi\)
0.992667 + 0.120881i \(0.0385720\pi\)
\(242\) 6.52872 3.76936i 0.419682 0.242304i
\(243\) 10.2957 11.7046i 0.660469 0.750853i
\(244\) 6.43535 0.411981
\(245\) 5.77939 + 14.5464i 0.369232 + 0.929337i
\(246\) 5.86604 7.43646i 0.374005 0.474132i
\(247\) 11.0073 6.35508i 0.700379 0.404364i
\(248\) 0.0248928i 0.00158069i
\(249\) 10.5731 + 26.5248i 0.670045 + 1.68094i
\(250\) −10.7650 + 3.01908i −0.680838 + 0.190944i
\(251\) 26.7127 1.68609 0.843046 0.537841i \(-0.180760\pi\)
0.843046 + 0.537841i \(0.180760\pi\)
\(252\) −4.92056 + 6.22801i −0.309966 + 0.392328i
\(253\) 7.49883i 0.471448i
\(254\) 5.86205 0.367818
\(255\) 1.46730 27.5831i 0.0918857 1.72732i
\(256\) 1.00000 0.0625000
\(257\) 11.2489 6.49454i 0.701685 0.405118i −0.106290 0.994335i \(-0.533897\pi\)
0.807975 + 0.589217i \(0.200564\pi\)
\(258\) 10.9703 4.37289i 0.682978 0.272244i
\(259\) 0.342126 0.269450i 0.0212587 0.0167428i
\(260\) 3.18378 + 4.50960i 0.197450 + 0.279673i
\(261\) 0.787329 + 3.28812i 0.0487345 + 0.203530i
\(262\) 14.6319 8.44770i 0.903959 0.521901i
\(263\) 7.65862 + 4.42171i 0.472251 + 0.272654i 0.717182 0.696886i \(-0.245432\pi\)
−0.244931 + 0.969541i \(0.578765\pi\)
\(264\) −1.99572 + 2.53001i −0.122828 + 0.155711i
\(265\) 5.65103 0.516484i 0.347140 0.0317274i
\(266\) 10.7012 8.42801i 0.656135 0.516755i
\(267\) −7.35982 5.80558i −0.450413 0.355296i
\(268\) 15.7434i 0.961679i
\(269\) −0.396645 0.687010i −0.0241839 0.0418877i 0.853680 0.520798i \(-0.174365\pi\)
−0.877864 + 0.478910i \(0.841032\pi\)
\(270\) −7.53367 8.84555i −0.458485 0.538323i
\(271\) −15.0428 + 26.0548i −0.913783 + 1.58272i −0.105110 + 0.994461i \(0.533519\pi\)
−0.808673 + 0.588258i \(0.799814\pi\)
\(272\) −6.17648 + 3.56599i −0.374504 + 0.216220i
\(273\) 5.64901 + 9.80178i 0.341894 + 0.593231i
\(274\) 2.39097 4.14127i 0.144444 0.250184i
\(275\) −9.14814 + 1.68630i −0.551654 + 0.101688i
\(276\) −2.58503 6.48506i −0.155601 0.390355i
\(277\) 9.27783 + 5.35656i 0.557451 + 0.321844i 0.752122 0.659024i \(-0.229031\pi\)
−0.194671 + 0.980869i \(0.562364\pi\)
\(278\) −1.41910 0.819319i −0.0851121 0.0491395i
\(279\) −0.0715904 0.0212526i −0.00428600 0.00127236i
\(280\) 4.06825 + 4.29527i 0.243125 + 0.256691i
\(281\) 7.78912 + 13.4911i 0.464660 + 0.804814i 0.999186 0.0403376i \(-0.0128433\pi\)
−0.534526 + 0.845152i \(0.679510\pi\)
\(282\) −3.11875 + 21.4644i −0.185719 + 1.27819i
\(283\) 19.3697i 1.15141i −0.817658 0.575704i \(-0.804728\pi\)
0.817658 0.575704i \(-0.195272\pi\)
\(284\) 10.0316 0.595264
\(285\) 9.03860 + 17.7737i 0.535400 + 1.05283i
\(286\) 2.29647 + 3.97760i 0.135793 + 0.235201i
\(287\) −8.95178 11.3663i −0.528407 0.670930i
\(288\) −0.853766 + 2.87595i −0.0503086 + 0.169467i
\(289\) 16.9326 29.3282i 0.996037 1.72519i
\(290\) 2.50964 0.229372i 0.147371 0.0134692i
\(291\) −2.63991 6.62273i −0.154754 0.388231i
\(292\) −8.79348 + 5.07692i −0.514600 + 0.297104i
\(293\) −5.22984 3.01945i −0.305530 0.176398i 0.339394 0.940644i \(-0.389778\pi\)
−0.644925 + 0.764246i \(0.723111\pi\)
\(294\) 7.49431 + 9.53076i 0.437077 + 0.555845i
\(295\) −17.5569 8.10419i −1.02220 0.471844i
\(296\) 0.0823004 0.142548i 0.00478361 0.00828546i
\(297\) −5.57229 7.89963i −0.323337 0.458383i
\(298\) −0.980667 + 0.566188i −0.0568085 + 0.0327984i
\(299\) −9.95055 −0.575455
\(300\) −7.33009 + 4.61192i −0.423203 + 0.266269i
\(301\) −2.58015 17.8541i −0.148718 1.02909i
\(302\) 1.32464 + 0.764783i 0.0762247 + 0.0440083i
\(303\) −4.31508 3.40383i −0.247895 0.195545i
\(304\) 2.57424 4.45871i 0.147643 0.255725i
\(305\) 13.0651 + 6.03082i 0.748108 + 0.345324i
\(306\) −4.98235 20.8078i −0.284822 1.18950i
\(307\) 29.4814i 1.68260i 0.540572 + 0.841298i \(0.318208\pi\)
−0.540572 + 0.841298i \(0.681792\pi\)
\(308\) 3.04554 + 3.86699i 0.173536 + 0.220342i
\(309\) 6.21893 + 15.6014i 0.353783 + 0.887534i
\(310\) −0.0233280 + 0.0505377i −0.00132494 + 0.00287035i
\(311\) 8.24275 0.467404 0.233702 0.972308i \(-0.424916\pi\)
0.233702 + 0.972308i \(0.424916\pi\)
\(312\) 3.35719 + 2.64822i 0.190063 + 0.149926i
\(313\) 3.42996i 0.193873i 0.995291 + 0.0969364i \(0.0309043\pi\)
−0.995291 + 0.0969364i \(0.969096\pi\)
\(314\) −1.85828 −0.104869
\(315\) −15.8263 + 8.03294i −0.891711 + 0.452605i
\(316\) 12.6647 0.712443
\(317\) 26.5770i 1.49271i 0.665548 + 0.746355i \(0.268198\pi\)
−0.665548 + 0.746355i \(0.731802\pi\)
\(318\) 4.08308 1.62757i 0.228968 0.0912696i
\(319\) 2.09677 0.117397
\(320\) 2.03021 + 0.937140i 0.113492 + 0.0523877i
\(321\) 4.34553 5.50890i 0.242544 0.307477i
\(322\) −10.5545 + 1.52526i −0.588177 + 0.0849992i
\(323\) 36.7189i 2.04309i
\(324\) −7.54217 4.91077i −0.419009 0.272821i
\(325\) 2.23763 + 12.1391i 0.124121 + 0.673356i
\(326\) −11.2609 + 19.5044i −0.623683 + 1.08025i
\(327\) −12.3240 + 4.91252i −0.681520 + 0.271663i
\(328\) −4.73581 2.73422i −0.261491 0.150972i
\(329\) 30.7673 + 12.2917i 1.69626 + 0.677663i
\(330\) −6.42272 + 3.26618i −0.353559 + 0.179798i
\(331\) −2.31580 −0.127288 −0.0636439 0.997973i \(-0.520272\pi\)
−0.0636439 + 0.997973i \(0.520272\pi\)
\(332\) 14.2772 8.24296i 0.783565 0.452391i
\(333\) 0.339697 + 0.358395i 0.0186153 + 0.0196399i
\(334\) 0.798239 1.38259i 0.0436777 0.0756520i
\(335\) 14.7537 31.9624i 0.806082 1.74629i
\(336\) 3.96686 + 2.29434i 0.216410 + 0.125166i
\(337\) −9.27844 5.35691i −0.505429 0.291809i 0.225524 0.974238i \(-0.427591\pi\)
−0.730953 + 0.682428i \(0.760924\pi\)
\(338\) −5.98026 + 3.45271i −0.325283 + 0.187803i
\(339\) −16.3388 + 20.7129i −0.887399 + 1.12497i
\(340\) −15.8814 + 1.45150i −0.861291 + 0.0787189i
\(341\) −0.0231559 + 0.0401072i −0.00125396 + 0.00217193i
\(342\) 10.6252 + 11.2101i 0.574547 + 0.606171i
\(343\) 16.8300 7.72995i 0.908733 0.417378i
\(344\) −3.40916 5.90484i −0.183810 0.318368i
\(345\) 0.829244 15.5886i 0.0446450 0.839262i
\(346\) −22.5323 −1.21134
\(347\) 2.60399i 0.139789i 0.997554 + 0.0698946i \(0.0222663\pi\)
−0.997554 + 0.0698946i \(0.977734\pi\)
\(348\) 1.81331 0.722809i 0.0972036 0.0387466i
\(349\) 8.68928 + 15.0503i 0.465126 + 0.805622i 0.999207 0.0398110i \(-0.0126756\pi\)
−0.534081 + 0.845433i \(0.679342\pi\)
\(350\) 4.23416 + 12.5328i 0.226325 + 0.669908i
\(351\) −10.4824 + 7.39414i −0.559509 + 0.394670i
\(352\) 1.61120 + 0.930226i 0.0858772 + 0.0495812i
\(353\) 1.35300 + 0.781154i 0.0720128 + 0.0415766i 0.535574 0.844488i \(-0.320095\pi\)
−0.463561 + 0.886065i \(0.653429\pi\)
\(354\) −14.8228 2.15372i −0.787821 0.114469i
\(355\) 20.3662 + 9.40097i 1.08093 + 0.498952i
\(356\) −2.70604 + 4.68699i −0.143420 + 0.248410i
\(357\) −32.6829 0.0251384i −1.72976 0.00133046i
\(358\) −12.5166 + 7.22646i −0.661522 + 0.381930i
\(359\) −4.26628 + 7.38941i −0.225166 + 0.389998i −0.956369 0.292161i \(-0.905626\pi\)
0.731203 + 0.682159i \(0.238959\pi\)
\(360\) −4.42849 + 5.03869i −0.233402 + 0.265563i
\(361\) −3.75341 6.50110i −0.197548 0.342163i
\(362\) 3.56702i 0.187478i
\(363\) 12.1293 4.83491i 0.636624 0.253767i
\(364\) 5.13130 4.04128i 0.268953 0.211820i
\(365\) −22.6104 + 2.06651i −1.18348 + 0.108166i
\(366\) 11.0305 + 1.60272i 0.576575 + 0.0837754i
\(367\) −24.2944 14.0264i −1.26816 0.732171i −0.293518 0.955954i \(-0.594826\pi\)
−0.974639 + 0.223783i \(0.928159\pi\)
\(368\) −3.49065 + 2.01533i −0.181962 + 0.105056i
\(369\) 11.9067 11.2856i 0.619840 0.587502i
\(370\) 0.300675 0.212277i 0.0156314 0.0110357i
\(371\) −0.960323 6.64523i −0.0498575 0.345003i
\(372\) −0.00619952 + 0.0426675i −0.000321430 + 0.00221221i
\(373\) 12.1765 7.03010i 0.630475 0.364005i −0.150461 0.988616i \(-0.548076\pi\)
0.780936 + 0.624611i \(0.214743\pi\)
\(374\) −13.2687 −0.686109
\(375\) −19.2037 + 2.49386i −0.991673 + 0.128782i
\(376\) 12.5226 0.645806
\(377\) 2.78231i 0.143296i
\(378\) −9.98518 + 9.44967i −0.513582 + 0.486039i
\(379\) 9.12176 0.468553 0.234277 0.972170i \(-0.424728\pi\)
0.234277 + 0.972170i \(0.424728\pi\)
\(380\) 9.40469 6.63972i 0.482451 0.340610i
\(381\) 10.0479 + 1.45994i 0.514768 + 0.0747949i
\(382\) 1.91746i 0.0981059i
\(383\) −8.74655 + 5.04982i −0.446928 + 0.258034i −0.706532 0.707681i \(-0.749741\pi\)
0.259604 + 0.965715i \(0.416408\pi\)
\(384\) 1.71405 + 0.249049i 0.0874699 + 0.0127092i
\(385\) 2.55919 + 10.7049i 0.130429 + 0.545573i
\(386\) −14.2477 −0.725190
\(387\) 19.8926 4.76323i 1.01120 0.242128i
\(388\) −3.56475 + 2.05811i −0.180973 + 0.104485i
\(389\) −14.8227 + 25.6736i −0.751540 + 1.30170i 0.195537 + 0.980696i \(0.437355\pi\)
−0.947076 + 0.321008i \(0.895978\pi\)
\(390\) 4.33405 + 8.52260i 0.219463 + 0.431559i
\(391\) 14.3733 24.8952i 0.726888 1.25901i
\(392\) 4.82326 5.07309i 0.243611 0.256230i
\(393\) 27.1837 10.8358i 1.37123 0.546592i
\(394\) −13.4264 −0.676411
\(395\) 25.7120 + 11.8686i 1.29371 + 0.597172i
\(396\) −4.05087 + 3.83953i −0.203564 + 0.192944i
\(397\) −23.6754 13.6690i −1.18823 0.686027i −0.230329 0.973113i \(-0.573980\pi\)
−0.957905 + 0.287086i \(0.907313\pi\)
\(398\) −5.77325 + 3.33319i −0.289387 + 0.167078i
\(399\) 20.4415 11.7809i 1.02335 0.589784i
\(400\) 3.24354 + 3.80519i 0.162177 + 0.190259i
\(401\) 7.23145 + 12.5252i 0.361122 + 0.625481i 0.988146 0.153519i \(-0.0490606\pi\)
−0.627024 + 0.779000i \(0.715727\pi\)
\(402\) 3.92087 26.9849i 0.195555 1.34589i
\(403\) 0.0532201 + 0.0307267i 0.00265108 + 0.00153060i
\(404\) −1.58656 + 2.74800i −0.0789342 + 0.136718i
\(405\) −10.7101 17.0380i −0.532191 0.846624i
\(406\) −0.426482 2.95117i −0.0211659 0.146464i
\(407\) 0.265205 0.153116i 0.0131457 0.00758967i
\(408\) −11.4749 + 4.57405i −0.568093 + 0.226449i
\(409\) 33.1747 1.64038 0.820191 0.572090i \(-0.193867\pi\)
0.820191 + 0.572090i \(0.193867\pi\)
\(410\) −7.05235 9.98916i −0.348291 0.493329i
\(411\) 5.12962 6.50289i 0.253025 0.320764i
\(412\) 8.39761 4.84836i 0.413721 0.238862i
\(413\) −8.48831 + 21.2471i −0.417682 + 1.04550i
\(414\) −2.81578 11.7595i −0.138388 0.577950i
\(415\) 36.7106 3.35522i 1.80205 0.164701i
\(416\) 1.23436 2.13798i 0.0605195 0.104823i
\(417\) −2.22836 1.75778i −0.109123 0.0860789i
\(418\) 8.29522 4.78925i 0.405733 0.234250i
\(419\) −2.56007 + 4.43417i −0.125068 + 0.216623i −0.921759 0.387762i \(-0.873248\pi\)
0.796692 + 0.604386i \(0.206581\pi\)
\(420\) 5.90347 + 8.37551i 0.288060 + 0.408683i
\(421\) 0.254924 + 0.441541i 0.0124242 + 0.0215194i 0.872171 0.489202i \(-0.162712\pi\)
−0.859746 + 0.510721i \(0.829378\pi\)
\(422\) −3.81526 2.20274i −0.185724 0.107228i
\(423\) −10.6914 + 36.0145i −0.519833 + 1.75108i
\(424\) −1.26888 2.19776i −0.0616221 0.106733i
\(425\) −33.6029 11.9362i −1.62998 0.578993i
\(426\) 17.1946 + 2.49835i 0.833082 + 0.121045i
\(427\) 6.31667 15.8113i 0.305685 0.765161i
\(428\) −3.50826 2.02550i −0.169578 0.0979060i
\(429\) 2.94565 + 7.38975i 0.142217 + 0.356780i
\(430\) −1.38767 15.1830i −0.0669192 0.732187i
\(431\) 6.19259 + 10.7259i 0.298286 + 0.516647i 0.975744 0.218915i \(-0.0702516\pi\)
−0.677458 + 0.735562i \(0.736918\pi\)
\(432\) −2.17965 + 4.71690i −0.104869 + 0.226942i
\(433\) 18.6516i 0.896339i −0.893949 0.448169i \(-0.852076\pi\)
0.893949 0.448169i \(-0.147924\pi\)
\(434\) 0.0611600 + 0.0244337i 0.00293577 + 0.00117286i
\(435\) 4.35878 + 0.231868i 0.208987 + 0.0111172i
\(436\) 3.82986 + 6.63352i 0.183417 + 0.317688i
\(437\) 20.7517i 0.992689i
\(438\) −16.3369 + 6.51210i −0.780607 + 0.311160i
\(439\) 0.383818 0.0183186 0.00915932 0.999958i \(-0.497084\pi\)
0.00915932 + 0.999958i \(0.497084\pi\)
\(440\) 2.39933 + 3.39848i 0.114383 + 0.162016i
\(441\) 10.4720 + 18.2027i 0.498667 + 0.866794i
\(442\) 17.6069i 0.837474i
\(443\) 5.42853i 0.257917i 0.991650 + 0.128959i \(0.0411635\pi\)
−0.991650 + 0.128959i \(0.958837\pi\)
\(444\) 0.176569 0.223839i 0.00837958 0.0106229i
\(445\) −9.88620 + 6.97967i −0.468651 + 0.330868i
\(446\) −6.28877 10.8925i −0.297782 0.515773i
\(447\) −1.82192 + 0.726242i −0.0861740 + 0.0343501i
\(448\) 0.981558 2.45694i 0.0463743 0.116079i
\(449\) 5.22072 0.246381 0.123191 0.992383i \(-0.460687\pi\)
0.123191 + 0.992383i \(0.460687\pi\)
\(450\) −13.7128 + 6.07951i −0.646425 + 0.286591i
\(451\) −5.08688 8.81074i −0.239532 0.414882i
\(452\) 13.1907 + 7.61565i 0.620438 + 0.358210i
\(453\) 2.08004 + 1.64078i 0.0977288 + 0.0770906i
\(454\) −1.70616 + 2.95515i −0.0800740 + 0.138692i
\(455\) 14.2049 3.39592i 0.665934 0.159203i
\(456\) 5.52282 7.00135i 0.258630 0.327868i
\(457\) 12.2815i 0.574504i 0.957855 + 0.287252i \(0.0927417\pi\)
−0.957855 + 0.287252i \(0.907258\pi\)
\(458\) 20.8424 12.0334i 0.973902 0.562282i
\(459\) −3.35785 36.9065i −0.156731 1.72265i
\(460\) −8.97540 + 0.820319i −0.418480 + 0.0382476i
\(461\) −1.30604 2.26214i −0.0608286 0.105358i 0.834007 0.551753i \(-0.186041\pi\)
−0.894836 + 0.446395i \(0.852708\pi\)
\(462\) 4.25715 + 7.38672i 0.198061 + 0.343661i
\(463\) −16.9779 9.80220i −0.789030 0.455547i 0.0505907 0.998719i \(-0.483890\pi\)
−0.839621 + 0.543173i \(0.817223\pi\)
\(464\) −0.563512 0.976031i −0.0261604 0.0453111i
\(465\) −0.0525718 + 0.0808144i −0.00243796 + 0.00374768i
\(466\) 11.8917 20.5971i 0.550875 0.954143i
\(467\) −13.9721 8.06679i −0.646551 0.373287i 0.140582 0.990069i \(-0.455103\pi\)
−0.787134 + 0.616782i \(0.788436\pi\)
\(468\) 5.09485 + 5.37529i 0.235510 + 0.248473i
\(469\) −38.6805 15.4530i −1.78610 0.713554i
\(470\) 25.4236 + 11.7355i 1.17270 + 0.541316i
\(471\) −3.18518 0.462802i −0.146765 0.0213248i
\(472\) 8.64779i 0.398047i
\(473\) 12.6852i 0.583265i
\(474\) 21.7079 + 3.15412i 0.997076 + 0.144874i
\(475\) 25.3159 4.66654i 1.16157 0.214116i
\(476\) 2.69885 + 18.6755i 0.123702 + 0.855989i
\(477\) 7.40396 1.77285i 0.339004 0.0811734i
\(478\) 19.8792 + 11.4772i 0.909252 + 0.524957i
\(479\) 11.2252 19.4427i 0.512894 0.888358i −0.486995 0.873405i \(-0.661907\pi\)
0.999888 0.0149527i \(-0.00475978\pi\)
\(480\) 3.24650 + 2.11193i 0.148182 + 0.0963959i
\(481\) −0.203177 0.351912i −0.00926406 0.0160458i
\(482\) −10.5309 6.08000i −0.479668 0.276937i
\(483\) −18.4708 0.0142070i −0.840449 0.000646440i
\(484\) −3.76936 6.52872i −0.171334 0.296760i
\(485\) −9.16593 + 0.837733i −0.416203 + 0.0380395i
\(486\) −11.7046 10.2957i −0.530934 0.467022i
\(487\) −25.5573 + 14.7555i −1.15811 + 0.668636i −0.950851 0.309649i \(-0.899788\pi\)
−0.207261 + 0.978286i \(0.566455\pi\)
\(488\) 6.43535i 0.291315i
\(489\) −24.1593 + 30.6271i −1.09252 + 1.38501i
\(490\) 14.5464 5.77939i 0.657141 0.261086i
\(491\) −2.00136 + 3.46646i −0.0903202 + 0.156439i −0.907646 0.419737i \(-0.862122\pi\)
0.817326 + 0.576176i \(0.195456\pi\)
\(492\) −7.43646 5.86604i −0.335262 0.264462i
\(493\) 6.96104 + 4.01896i 0.313509 + 0.181005i
\(494\) −6.35508 11.0073i −0.285929 0.495243i
\(495\) −11.8223 + 3.99884i −0.531373 + 0.179734i
\(496\) 0.0248928 0.00111772
\(497\) 9.84656 24.6469i 0.441679 1.10557i
\(498\) 26.5248 10.5731i 1.18861 0.473794i
\(499\) −1.72024 2.97954i −0.0770085 0.133383i 0.824949 0.565207i \(-0.191204\pi\)
−0.901958 + 0.431824i \(0.857870\pi\)
\(500\) 3.01908 + 10.7650i 0.135018 + 0.481425i
\(501\) 1.71256 2.17103i 0.0765114 0.0969945i
\(502\) 26.7127i 1.19225i
\(503\) 26.9973i 1.20375i −0.798591 0.601875i \(-0.794421\pi\)
0.798591 0.601875i \(-0.205579\pi\)
\(504\) 6.22801 + 4.92056i 0.277418 + 0.219179i
\(505\) −5.79631 + 4.09220i −0.257932 + 0.182100i
\(506\) −7.49883 −0.333364
\(507\) −11.1104 + 4.42874i −0.493429 + 0.196687i
\(508\) 5.86205i 0.260087i
\(509\) −16.6660 28.8664i −0.738709 1.27948i −0.953077 0.302729i \(-0.902102\pi\)
0.214368 0.976753i \(-0.431231\pi\)
\(510\) −27.5831 1.46730i −1.22140 0.0649730i
\(511\) 3.84236 + 26.5883i 0.169976 + 1.17620i
\(512\) 1.00000i 0.0441942i
\(513\) 15.4203 + 21.8609i 0.680825 + 0.965180i
\(514\) −6.49454 11.2489i −0.286462 0.496166i
\(515\) 21.5925 1.97348i 0.951481 0.0869619i
\(516\) −4.37289 10.9703i −0.192506 0.482939i
\(517\) 20.1765 + 11.6489i 0.887359 + 0.512317i
\(518\) −0.269450 0.342126i −0.0118390 0.0150322i
\(519\) −38.6215 5.61164i −1.69530 0.246324i
\(520\) 4.50960 3.18378i 0.197759 0.139618i
\(521\) −9.84067 17.0445i −0.431127 0.746735i 0.565843 0.824513i \(-0.308551\pi\)
−0.996971 + 0.0777783i \(0.975217\pi\)
\(522\) 3.28812 0.787329i 0.143917 0.0344605i
\(523\) −6.77298 3.91038i −0.296162 0.170989i 0.344556 0.938766i \(-0.388030\pi\)
−0.640717 + 0.767777i \(0.721363\pi\)
\(524\) −8.44770 14.6319i −0.369040 0.639195i
\(525\) 4.13628 + 22.5364i 0.180522 + 0.983571i
\(526\) 4.42171 7.65862i 0.192796 0.333932i
\(527\) −0.153750 + 0.0887675i −0.00669745 + 0.00386677i
\(528\) 2.53001 + 1.99572i 0.110104 + 0.0868527i
\(529\) −3.37693 + 5.84901i −0.146823 + 0.254305i
\(530\) −0.516484 5.65103i −0.0224346 0.245465i
\(531\) −24.8706 7.38319i −1.07929 0.320403i
\(532\) −8.42801 10.7012i −0.365401 0.463957i
\(533\) −11.6914 + 6.75002i −0.506410 + 0.292376i
\(534\) −5.80558 + 7.35982i −0.251232 + 0.318490i
\(535\) −5.22435 7.39992i −0.225868 0.319926i
\(536\) −15.7434 −0.680010
\(537\) −23.2538 + 9.26928i −1.00348 + 0.399999i
\(538\) −0.687010 + 0.396645i −0.0296191 + 0.0171006i
\(539\) 12.4903 3.68703i 0.537997 0.158812i
\(540\) −8.84555 + 7.53367i −0.380652 + 0.324198i
\(541\) 11.7762 20.3970i 0.506299 0.876936i −0.493674 0.869647i \(-0.664347\pi\)
0.999973 0.00728876i \(-0.00232011\pi\)
\(542\) 26.0548 + 15.0428i 1.11915 + 0.646142i
\(543\) 0.888362 6.11405i 0.0381232 0.262379i
\(544\) 3.56599 + 6.17648i 0.152891 + 0.264815i
\(545\) 1.55891 + 17.0566i 0.0667764 + 0.730624i
\(546\) 9.80178 5.64901i 0.419478 0.241755i
\(547\) 8.50253 4.90894i 0.363542 0.209891i −0.307091 0.951680i \(-0.599356\pi\)
0.670633 + 0.741789i \(0.266022\pi\)
\(548\) −4.14127 2.39097i −0.176906 0.102137i
\(549\) 18.5077 + 5.49428i 0.789891 + 0.234490i
\(550\) 1.68630 + 9.14814i 0.0719041 + 0.390078i
\(551\) −5.80245 −0.247193
\(552\) −6.48506 + 2.58503i −0.276023 + 0.110026i
\(553\) 12.4311 31.1163i 0.528624 1.32320i
\(554\) 5.35656 9.27783i 0.227578 0.394177i
\(555\) 0.568240 0.288971i 0.0241205 0.0122661i
\(556\) −0.819319 + 1.41910i −0.0347469 + 0.0601833i
\(557\) 14.2332 8.21754i 0.603080 0.348188i −0.167172 0.985928i \(-0.553464\pi\)
0.770252 + 0.637739i \(0.220130\pi\)
\(558\) −0.0212526 + 0.0715904i −0.000899694 + 0.00303066i
\(559\) −16.8325 −0.711941
\(560\) 4.29527 4.06825i 0.181508 0.171915i
\(561\) −22.7433 3.30456i −0.960222 0.139519i
\(562\) 13.4911 7.78912i 0.569090 0.328564i
\(563\) 31.9563i 1.34680i 0.739280 + 0.673398i \(0.235166\pi\)
−0.739280 + 0.673398i \(0.764834\pi\)
\(564\) 21.4644 + 3.11875i 0.903816 + 0.131323i
\(565\) 19.6430 + 27.8229i 0.826387 + 1.17052i
\(566\) −19.3697 −0.814169
\(567\) −19.4685 + 13.7104i −0.817602 + 0.575784i
\(568\) 10.0316i 0.420915i
\(569\) −40.4328 −1.69503 −0.847515 0.530771i \(-0.821902\pi\)
−0.847515 + 0.530771i \(0.821902\pi\)
\(570\) 17.7737 9.03860i 0.744460 0.378585i
\(571\) 13.1042 0.548396 0.274198 0.961673i \(-0.411588\pi\)
0.274198 + 0.961673i \(0.411588\pi\)
\(572\) 3.97760 2.29647i 0.166312 0.0960202i
\(573\) −0.477542 + 3.28663i −0.0199496 + 0.137301i
\(574\) −11.3663 + 8.95178i −0.474419 + 0.373640i
\(575\) −18.9907 6.74578i −0.791968 0.281318i
\(576\) 2.87595 + 0.853766i 0.119831 + 0.0355736i
\(577\) 13.1964 7.61896i 0.549374 0.317181i −0.199495 0.979899i \(-0.563930\pi\)
0.748870 + 0.662717i \(0.230597\pi\)
\(578\) −29.3282 16.9326i −1.21989 0.704304i
\(579\) −24.4213 3.54838i −1.01492 0.147466i
\(580\) −0.229372 2.50964i −0.00952416 0.104207i
\(581\) −6.23851 43.1692i −0.258817 1.79096i
\(582\) −6.62273 + 2.63991i −0.274521 + 0.109428i
\(583\) 4.72137i 0.195539i
\(584\) 5.07692 + 8.79348i 0.210084 + 0.363877i
\(585\) 5.30625 + 15.6876i 0.219386 + 0.648602i
\(586\) −3.01945 + 5.22984i −0.124732 + 0.216043i
\(587\) −30.9687 + 17.8798i −1.27821 + 0.737978i −0.976520 0.215427i \(-0.930886\pi\)
−0.301695 + 0.953405i \(0.597552\pi\)
\(588\) 9.53076 7.49431i 0.393042 0.309060i
\(589\) 0.0640799 0.110990i 0.00264037 0.00457325i
\(590\) −8.10419 + 17.5569i −0.333644 + 0.722805i
\(591\) −23.0135 3.34383i −0.946649 0.137547i
\(592\) −0.142548 0.0823004i −0.00585870 0.00338252i
\(593\) 39.8145 + 22.9869i 1.63499 + 0.943960i 0.982523 + 0.186140i \(0.0595978\pi\)
0.652464 + 0.757820i \(0.273736\pi\)
\(594\) −7.89963 + 5.57229i −0.324126 + 0.228634i
\(595\) −12.0223 + 40.4444i −0.492865 + 1.65806i
\(596\) 0.566188 + 0.980667i 0.0231920 + 0.0401697i
\(597\) −10.7258 + 4.27544i −0.438977 + 0.174982i
\(598\) 9.95055i 0.406908i
\(599\) 21.3186 0.871054 0.435527 0.900176i \(-0.356562\pi\)
0.435527 + 0.900176i \(0.356562\pi\)
\(600\) 4.61192 + 7.33009i 0.188281 + 0.299250i
\(601\) −9.44816 16.3647i −0.385398 0.667530i 0.606426 0.795140i \(-0.292603\pi\)
−0.991824 + 0.127610i \(0.959269\pi\)
\(602\) −17.8541 + 2.58015i −0.727680 + 0.105159i
\(603\) 13.4411 45.2771i 0.547366 1.84383i
\(604\) 0.764783 1.32464i 0.0311186 0.0538990i
\(605\) −1.53428 16.7871i −0.0623774 0.682493i
\(606\) −3.40383 + 4.31508i −0.138271 + 0.175288i
\(607\) −12.1344 + 7.00579i −0.492520 + 0.284356i −0.725619 0.688097i \(-0.758447\pi\)
0.233100 + 0.972453i \(0.425113\pi\)
\(608\) −4.45871 2.57424i −0.180825 0.104399i
\(609\) 0.00397246 5.16467i 0.000160972 0.209283i
\(610\) 6.03082 13.0651i 0.244181 0.528992i
\(611\) 15.4574 26.7731i 0.625341 1.08312i
\(612\) −20.8078 + 4.98235i −0.841104 + 0.201400i
\(613\) −5.46761 + 3.15673i −0.220835 + 0.127499i −0.606337 0.795208i \(-0.707362\pi\)
0.385502 + 0.922707i \(0.374028\pi\)
\(614\) 29.4814 1.18977
\(615\) −9.60031 18.8783i −0.387122 0.761247i
\(616\) 3.86699 3.04554i 0.155806 0.122708i
\(617\) −14.0939 8.13710i −0.567398 0.327587i 0.188712 0.982033i \(-0.439569\pi\)
−0.756109 + 0.654445i \(0.772902\pi\)
\(618\) 15.6014 6.21893i 0.627581 0.250162i
\(619\) −14.1542 + 24.5157i −0.568904 + 0.985371i 0.427771 + 0.903887i \(0.359299\pi\)
−0.996675 + 0.0814835i \(0.974034\pi\)
\(620\) 0.0505377 + 0.0233280i 0.00202964 + 0.000936875i
\(621\) −1.89769 20.8577i −0.0761518 0.836992i
\(622\) 8.24275i 0.330504i
\(623\) 8.85952 + 11.2491i 0.354949 + 0.450687i
\(624\) 2.64822 3.35719i 0.106014 0.134395i
\(625\) −3.95892 + 24.6845i −0.158357 + 0.987382i
\(626\) 3.42996 0.137089
\(627\) 15.4112 6.14311i 0.615464 0.245332i
\(628\) 1.85828i 0.0741533i
\(629\) 1.17393 0.0468077
\(630\) 8.03294 + 15.8263i 0.320040 + 0.630535i
\(631\) 24.3538 0.969508 0.484754 0.874651i \(-0.338909\pi\)
0.484754 + 0.874651i \(0.338909\pi\)
\(632\) 12.6647i 0.503773i
\(633\) −5.99096 4.72580i −0.238119 0.187834i
\(634\) 26.5770 1.05551
\(635\) 5.49356 11.9012i 0.218005 0.472286i
\(636\) −1.62757 4.08308i −0.0645374 0.161905i
\(637\) −4.89250 16.5740i −0.193848 0.656687i
\(638\) 2.09677i 0.0830120i
\(639\) 28.8503 + 8.56460i 1.14130 + 0.338810i
\(640\) 0.937140 2.03021i 0.0370437 0.0802513i
\(641\) −12.9874 + 22.4948i −0.512971 + 0.888492i 0.486916 + 0.873449i \(0.338122\pi\)
−0.999887 + 0.0150428i \(0.995212\pi\)
\(642\) −5.50890 4.34553i −0.217419 0.171505i
\(643\) −34.8054 20.0949i −1.37259 0.792465i −0.381336 0.924436i \(-0.624536\pi\)
−0.991254 + 0.131971i \(0.957869\pi\)
\(644\) 1.52526 + 10.5545i 0.0601035 + 0.415904i
\(645\) 1.40276 26.3700i 0.0552338 1.03832i
\(646\) 36.7189 1.44469
\(647\) 26.4801 15.2883i 1.04104 0.601044i 0.120912 0.992663i \(-0.461418\pi\)
0.920127 + 0.391619i \(0.128085\pi\)
\(648\) −4.91077 + 7.54217i −0.192913 + 0.296284i
\(649\) −8.04440 + 13.9333i −0.315770 + 0.546930i
\(650\) 12.1391 2.23763i 0.476135 0.0877671i
\(651\) 0.0987462 + 0.0571125i 0.00387017 + 0.00223841i
\(652\) 19.5044 + 11.2609i 0.763853 + 0.441010i
\(653\) 20.2438 11.6878i 0.792202 0.457378i −0.0485353 0.998821i \(-0.515455\pi\)
0.840737 + 0.541444i \(0.182122\pi\)
\(654\) 4.91252 + 12.3240i 0.192095 + 0.481907i
\(655\) −3.43856 37.6225i −0.134356 1.47003i
\(656\) −2.73422 + 4.73581i −0.106753 + 0.184902i
\(657\) −29.6241 + 7.09339i −1.15575 + 0.276739i
\(658\) 12.2917 30.7673i 0.479180 1.19944i
\(659\) 18.2243 + 31.5654i 0.709917 + 1.22961i 0.964888 + 0.262663i \(0.0846007\pi\)
−0.254971 + 0.966949i \(0.582066\pi\)
\(660\) 3.26618 + 6.42272i 0.127136 + 0.250004i
\(661\) −29.7768 −1.15818 −0.579092 0.815262i \(-0.696593\pi\)
−0.579092 + 0.815262i \(0.696593\pi\)
\(662\) 2.31580i 0.0900061i
\(663\) −4.38498 + 30.1791i −0.170298 + 1.17206i
\(664\) −8.24296 14.2772i −0.319889 0.554064i
\(665\) −7.08212 29.6240i −0.274633 1.14877i
\(666\) 0.358395 0.339697i 0.0138875 0.0131630i
\(667\) 3.93404 + 2.27132i 0.152327 + 0.0879458i
\(668\) −1.38259 0.798239i −0.0534940 0.0308848i
\(669\) −8.06652 20.2365i −0.311870 0.782387i
\(670\) −31.9624 14.7537i −1.23482 0.569986i
\(671\) 5.98633 10.3686i 0.231100 0.400277i
\(672\) 2.29434 3.96686i 0.0885061 0.153025i
\(673\) 5.68572 3.28265i 0.219168 0.126537i −0.386397 0.922333i \(-0.626280\pi\)
0.605565 + 0.795796i \(0.292947\pi\)
\(674\) −5.35691 + 9.27844i −0.206340 + 0.357392i
\(675\) −25.0185 + 7.00545i −0.962961 + 0.269640i
\(676\) 3.45271 + 5.98026i 0.132796 + 0.230010i
\(677\) 1.18205i 0.0454298i 0.999742 + 0.0227149i \(0.00723101\pi\)
−0.999742 + 0.0227149i \(0.992769\pi\)
\(678\) 20.7129 + 16.3388i 0.795473 + 0.627486i
\(679\) 1.55764 + 10.7785i 0.0597766 + 0.413641i
\(680\) 1.45150 + 15.8814i 0.0556626 + 0.609025i
\(681\) −3.66042 + 4.64037i −0.140268 + 0.177819i
\(682\) 0.0401072 + 0.0231559i 0.00153578 + 0.000886686i
\(683\) −33.5322 + 19.3599i −1.28308 + 0.740784i −0.977409 0.211355i \(-0.932213\pi\)
−0.305666 + 0.952139i \(0.598879\pi\)
\(684\) 11.2101 10.6252i 0.428628 0.406266i
\(685\) −6.16700 8.73512i −0.235629 0.333752i
\(686\) −7.72995 16.8300i −0.295131 0.642571i
\(687\) 38.7219 15.4350i 1.47733 0.588884i
\(688\) −5.90484 + 3.40916i −0.225120 + 0.129973i
\(689\) −6.26501 −0.238678
\(690\) −15.5886 0.829244i −0.593448 0.0315688i
\(691\) −49.0335 −1.86532 −0.932661 0.360754i \(-0.882519\pi\)
−0.932661 + 0.360754i \(0.882519\pi\)
\(692\) 22.5323i 0.856549i
\(693\) 5.45733 + 13.7215i 0.207307 + 0.521235i
\(694\) 2.60399 0.0988459
\(695\) −2.99329 + 2.11326i −0.113542 + 0.0801607i
\(696\) −0.722809 1.81331i −0.0273980 0.0687333i
\(697\) 39.0008i 1.47726i
\(698\) 15.0503 8.68928i 0.569661 0.328894i
\(699\) 25.5128 32.3429i 0.964981 1.22332i
\(700\) 12.5328 4.23416i 0.473697 0.160036i
\(701\) 4.72481 0.178454 0.0892269 0.996011i \(-0.471560\pi\)
0.0892269 + 0.996011i \(0.471560\pi\)
\(702\) 7.39414 + 10.4824i 0.279074 + 0.395632i
\(703\) −0.733907 + 0.423722i −0.0276798 + 0.0159810i
\(704\) 0.930226 1.61120i 0.0350592 0.0607243i
\(705\) 40.6547 + 26.4469i 1.53115 + 0.996048i
\(706\) 0.781154 1.35300i 0.0293991 0.0509207i
\(707\) 5.19436 + 6.59539i 0.195354 + 0.248045i
\(708\) −2.15372 + 14.8228i −0.0809419 + 0.557074i
\(709\) −11.8277 −0.444200 −0.222100 0.975024i \(-0.571291\pi\)
−0.222100 + 0.975024i \(0.571291\pi\)
\(710\) 9.40097 20.3662i 0.352812 0.764330i
\(711\) 36.4229 + 10.8127i 1.36597 + 0.405506i
\(712\) 4.68699 + 2.70604i 0.175653 + 0.101413i
\(713\) −0.0868919 + 0.0501670i −0.00325413 + 0.00187877i
\(714\) −0.0251384 + 32.6829i −0.000940780 + 1.22313i
\(715\) 10.2275 0.934756i 0.382487 0.0349579i
\(716\) 7.22646 + 12.5166i 0.270065 + 0.467767i
\(717\) 31.2155 + 24.6235i 1.16577 + 0.919581i
\(718\) 7.38941 + 4.26628i 0.275771 + 0.159216i
\(719\) −21.5479 + 37.3220i −0.803600 + 1.39188i 0.113633 + 0.993523i \(0.463751\pi\)
−0.917232 + 0.398353i \(0.869582\pi\)
\(720\) 5.03869 + 4.42849i 0.187781 + 0.165040i
\(721\) −3.66938 25.3914i −0.136655 0.945624i
\(722\) −6.50110 + 3.75341i −0.241946 + 0.139687i
\(723\) −16.5363 13.0441i −0.614990 0.485117i
\(724\) −3.56702 −0.132567
\(725\) 1.88621 5.31006i 0.0700521 0.197211i
\(726\) −4.83491 12.1293i −0.179440 0.450161i
\(727\) −14.3846 + 8.30493i −0.533494 + 0.308013i −0.742438 0.669915i \(-0.766331\pi\)
0.208944 + 0.977928i \(0.432997\pi\)
\(728\) −4.04128 5.13130i −0.149780 0.190178i
\(729\) −17.4982 20.5624i −0.648083 0.761570i
\(730\) 2.06651 + 22.6104i 0.0764850 + 0.836850i
\(731\) 24.3141 42.1133i 0.899290 1.55762i
\(732\) 1.60272 11.0305i 0.0592382 0.407700i
\(733\) −43.6249 + 25.1868i −1.61132 + 0.930297i −0.622257 + 0.782813i \(0.713784\pi\)
−0.989065 + 0.147483i \(0.952883\pi\)
\(734\) −14.0264 + 24.2944i −0.517723 + 0.896723i
\(735\) 26.3727 6.28340i 0.972771 0.231767i
\(736\) 2.01533 + 3.49065i 0.0742859 + 0.128667i
\(737\) −25.3657 14.6449i −0.934357 0.539451i
\(738\) −11.2856 11.9067i −0.415427 0.438293i
\(739\) 21.8633 + 37.8684i 0.804256 + 1.39301i 0.916792 + 0.399364i \(0.130769\pi\)
−0.112537 + 0.993648i \(0.535898\pi\)
\(740\) −0.212277 0.300675i −0.00780345 0.0110530i
\(741\) −8.15157 20.4498i −0.299456 0.751244i
\(742\) −6.64523 + 0.960323i −0.243954 + 0.0352546i
\(743\) −31.4095 18.1343i −1.15230 0.665282i −0.202856 0.979209i \(-0.565022\pi\)
−0.949447 + 0.313926i \(0.898356\pi\)
\(744\) 0.0426675 + 0.00619952i 0.00156427 + 0.000227285i
\(745\) 0.230462 + 2.52156i 0.00844346 + 0.0923829i
\(746\) −7.03010 12.1765i −0.257390 0.445813i
\(747\) 48.0981 11.5169i 1.75982 0.421382i
\(748\) 13.2687i 0.485153i
\(749\) −8.42008 + 6.63144i −0.307663 + 0.242307i
\(750\) 2.49386 + 19.2037i 0.0910628 + 0.701219i
\(751\) −22.0116 38.1253i −0.803217 1.39121i −0.917489 0.397762i \(-0.869787\pi\)
0.114272 0.993449i \(-0.463546\pi\)
\(752\) 12.5226i 0.456653i
\(753\) 6.65277 45.7870i 0.242441 1.66857i
\(754\) −2.78231 −0.101326
\(755\) 2.79405 1.97260i 0.101686 0.0717903i
\(756\) 9.44967 + 9.98518i 0.343681 + 0.363157i
\(757\) 14.2814i 0.519068i −0.965734 0.259534i \(-0.916431\pi\)
0.965734 0.259534i \(-0.0835689\pi\)
\(758\) 9.12176i 0.331317i
\(759\) −12.8534 1.86758i −0.466549 0.0677887i
\(760\) −6.63972 9.40469i −0.240848 0.341144i
\(761\) −2.82110 4.88629i −0.102265 0.177128i 0.810353 0.585943i \(-0.199276\pi\)
−0.912617 + 0.408815i \(0.865942\pi\)
\(762\) 1.45994 10.0479i 0.0528880 0.363996i
\(763\) 20.0574 2.89855i 0.726126 0.104935i
\(764\) 1.91746 0.0693713
\(765\) −46.9134 9.38456i −1.69616 0.339299i
\(766\) 5.04982 + 8.74655i 0.182457 + 0.316026i
\(767\) 18.4888 + 10.6745i 0.667591 + 0.385434i
\(768\) 0.249049 1.71405i 0.00898678 0.0618505i
\(769\) −2.47121 + 4.28027i −0.0891143 + 0.154350i −0.907137 0.420835i \(-0.861737\pi\)
0.818023 + 0.575186i \(0.195070\pi\)
\(770\) 10.7049 2.55919i 0.385779 0.0922270i
\(771\) −8.33045 20.8986i −0.300014 0.752645i
\(772\) 14.2477i 0.512787i
\(773\) −24.7596 + 14.2949i −0.890540 + 0.514153i −0.874119 0.485712i \(-0.838560\pi\)
−0.0164207 + 0.999865i \(0.505227\pi\)
\(774\) −4.76323 19.8926i −0.171211 0.715027i
\(775\) 0.0807407 + 0.0947217i 0.00290029 + 0.00340250i
\(776\) 2.05811 + 3.56475i 0.0738817 + 0.127967i
\(777\) −0.376645 0.653529i −0.0135121 0.0234452i
\(778\) 25.6736 + 14.8227i 0.920444 + 0.531419i
\(779\) 14.0771 + 24.3822i 0.504363 + 0.873583i
\(780\) 8.52260 4.33405i 0.305158 0.155184i
\(781\) 9.33162 16.1628i 0.333912 0.578352i
\(782\) −24.8952 14.3733i −0.890252 0.513987i
\(783\) 5.83210 0.530620i 0.208422 0.0189628i
\(784\) −5.07309 4.82326i −0.181182 0.172259i
\(785\) −1.74146 + 3.77270i −0.0621555 + 0.134653i
\(786\) −10.8358 27.1837i −0.386499 0.969609i
\(787\) 25.5020i 0.909048i 0.890735 + 0.454524i \(0.150191\pi\)
−0.890735 + 0.454524i \(0.849809\pi\)
\(788\) 13.4264i 0.478295i
\(789\) 9.48641 12.0261i 0.337725 0.428139i
\(790\) 11.8686 25.7120i 0.422264 0.914791i
\(791\) 31.6586 24.9335i 1.12565 0.886534i
\(792\) 3.83953 + 4.05087i 0.136432 + 0.143941i
\(793\) −13.7586 7.94355i −0.488583 0.282084i
\(794\) −13.6690 + 23.6754i −0.485094 + 0.840208i
\(795\) 0.522104 9.81480i 0.0185171 0.348095i
\(796\) 3.33319 + 5.77325i 0.118142 + 0.204627i
\(797\) 37.2901 + 21.5295i 1.32088 + 0.762612i 0.983870 0.178887i \(-0.0572497\pi\)
0.337014 + 0.941500i \(0.390583\pi\)
\(798\) −11.7809 20.4415i −0.417040 0.723620i
\(799\) 44.6556 + 77.3458i 1.57980 + 2.73630i
\(800\) 3.80519 3.24354i 0.134534 0.114676i
\(801\) −11.7840 + 11.1692i −0.416368 + 0.394645i
\(802\) 12.5252 7.23145i 0.442282 0.255352i
\(803\) 18.8907i 0.666639i
\(804\) −26.9849 3.92087i −0.951686 0.138278i
\(805\) −6.79440 + 22.8572i −0.239471 + 0.805610i
\(806\) 0.0307267 0.0532201i 0.00108230 0.00187460i
\(807\) −1.27636 + 0.508772i −0.0449298 + 0.0179096i
\(808\) 2.74800 + 1.58656i 0.0966743 + 0.0558149i
\(809\) 0.417099 + 0.722437i 0.0146644 + 0.0253995i 0.873264 0.487246i \(-0.161999\pi\)
−0.858600 + 0.512646i \(0.828665\pi\)
\(810\) −17.0380 + 10.7101i −0.598654 + 0.376316i
\(811\) 2.98741 0.104902 0.0524510 0.998623i \(-0.483297\pi\)
0.0524510 + 0.998623i \(0.483297\pi\)
\(812\) −2.95117 + 0.426482i −0.103566 + 0.0149666i
\(813\) 40.9130 + 32.2730i 1.43488 + 1.13186i
\(814\) −0.153116 0.265205i −0.00536671 0.00929541i
\(815\) 29.0451 + 41.1404i 1.01741 + 1.44109i
\(816\) 4.57405 + 11.4749i 0.160124 + 0.401703i
\(817\) 35.1040i 1.22813i
\(818\) 33.1747i 1.15993i
\(819\) 18.2076 7.24158i 0.636227 0.253041i
\(820\) −9.98916 + 7.05235i −0.348837 + 0.246279i
\(821\) 43.4646 1.51693 0.758463 0.651716i \(-0.225951\pi\)
0.758463 + 0.651716i \(0.225951\pi\)
\(822\) −6.50289 5.12962i −0.226814 0.178916i
\(823\) 6.68063i 0.232872i 0.993198 + 0.116436i \(0.0371470\pi\)
−0.993198 + 0.116436i \(0.962853\pi\)
\(824\) −4.84836 8.39761i −0.168901 0.292545i
\(825\) 0.612071 + 16.1004i 0.0213096 + 0.560543i
\(826\) 21.2471 + 8.48831i 0.739281 + 0.295346i
\(827\) 21.5493i 0.749342i 0.927158 + 0.374671i \(0.122244\pi\)
−0.927158 + 0.374671i \(0.877756\pi\)
\(828\) −11.7595 + 2.81578i −0.408672 + 0.0978551i
\(829\) −20.3294 35.2115i −0.706068 1.22295i −0.966305 0.257401i \(-0.917134\pi\)
0.260237 0.965545i \(-0.416199\pi\)
\(830\) −3.35522 36.7106i −0.116461 1.27424i
\(831\) 11.4921 14.5686i 0.398655 0.505380i
\(832\) −2.13798 1.23436i −0.0741210 0.0427938i
\(833\) 48.5335 + 11.7002i 1.68159 + 0.405386i
\(834\) −1.75778 + 2.22836i −0.0608670 + 0.0771619i
\(835\) −2.05889 2.91628i −0.0712509 0.100922i
\(836\) −4.78925 8.29522i −0.165640 0.286896i
\(837\) −0.0542576 + 0.117417i −0.00187542 + 0.00405851i
\(838\) 4.43417 + 2.56007i 0.153176 + 0.0884362i
\(839\) 1.49547 + 2.59023i 0.0516294 + 0.0894247i 0.890685 0.454621i \(-0.150225\pi\)
−0.839056 + 0.544046i \(0.816892\pi\)
\(840\) 8.37551 5.90347i 0.288982 0.203689i
\(841\) 13.8649 24.0147i 0.478100 0.828094i
\(842\) 0.441541 0.254924i 0.0152165 0.00878526i
\(843\) 25.0644 9.99100i 0.863264 0.344108i
\(844\) −2.20274 + 3.81526i −0.0758215 + 0.131327i
\(845\) 1.40539 + 15.3769i 0.0483469 + 0.528981i
\(846\) 36.0145 + 10.6914i 1.23820 + 0.367578i
\(847\) −19.7405 + 2.85276i −0.678292 + 0.0980220i
\(848\) −2.19776 + 1.26888i −0.0754713 + 0.0435734i
\(849\) −33.2007 4.82400i −1.13944 0.165559i
\(850\) −11.9362 + 33.6029i −0.409410 + 1.15257i
\(851\) 0.663448 0.0227427
\(852\) 2.49835 17.1946i 0.0855920 0.589078i
\(853\) −43.4957 + 25.1122i −1.48926 + 0.859827i −0.999925 0.0122673i \(-0.996095\pi\)
−0.489339 + 0.872094i \(0.662762\pi\)
\(854\) −15.8113 6.31667i −0.541050 0.216152i
\(855\) 32.7162 11.0661i 1.11887 0.378452i
\(856\) −2.02550 + 3.50826i −0.0692300 + 0.119910i
\(857\) −14.6372 8.45078i −0.499997 0.288673i 0.228715 0.973493i \(-0.426547\pi\)
−0.728712 + 0.684820i \(0.759881\pi\)
\(858\) 7.38975 2.94565i 0.252282 0.100563i
\(859\) 14.5854 + 25.2626i 0.497646 + 0.861948i 0.999996 0.00271598i \(-0.000864524\pi\)
−0.502350 + 0.864664i \(0.667531\pi\)
\(860\) −15.1830 + 1.38767i −0.517734 + 0.0473190i
\(861\) −21.7118 + 12.5131i −0.739937 + 0.426444i
\(862\) 10.7259 6.19259i 0.365325 0.210920i
\(863\) 1.13286 + 0.654060i 0.0385632 + 0.0222644i 0.519158 0.854679i \(-0.326246\pi\)
−0.480594 + 0.876943i \(0.659579\pi\)
\(864\) 4.71690 + 2.17965i 0.160472 + 0.0741532i
\(865\) −21.1159 + 45.7454i −0.717962 + 1.55539i
\(866\) −18.6516 −0.633807
\(867\) −46.0530 36.3276i −1.56404 1.23375i
\(868\) 0.0244337 0.0611600i 0.000829334 0.00207591i
\(869\) 11.7810 20.4053i 0.399643 0.692202i
\(870\) 0.231868 4.35878i 0.00786105 0.147776i
\(871\) −19.4330 + 33.6589i −0.658462 + 1.14049i
\(872\) 6.63352 3.82986i 0.224639 0.129696i
\(873\) −12.0092 + 2.87555i −0.406449 + 0.0973227i
\(874\) 20.7517 0.701937
\(875\) 29.4123 + 3.14877i 0.994318 + 0.106448i
\(876\) 6.51210 + 16.3369i 0.220023 + 0.551972i
\(877\) −4.29183 + 2.47789i −0.144925 + 0.0836724i −0.570709 0.821152i \(-0.693332\pi\)
0.425784 + 0.904825i \(0.359998\pi\)
\(878\) 0.383818i 0.0129532i
\(879\) −6.47798 + 8.21223i −0.218497 + 0.276991i
\(880\) 3.39848 2.39933i 0.114563 0.0808813i
\(881\) 20.8587 0.702747 0.351374 0.936235i \(-0.385715\pi\)
0.351374 + 0.936235i \(0.385715\pi\)
\(882\) 18.2027 10.4720i 0.612916 0.352611i
\(883\) 7.31896i 0.246303i 0.992388 + 0.123151i \(0.0393001\pi\)
−0.992388 + 0.123151i \(0.960700\pi\)
\(884\) 17.6069 0.592184
\(885\) −18.2635 + 28.0750i −0.613922 + 0.943732i
\(886\) 5.42853 0.182375
\(887\) 23.7183 13.6938i 0.796383 0.459792i −0.0458220 0.998950i \(-0.514591\pi\)
0.842205 + 0.539158i \(0.181257\pi\)
\(888\) −0.223839 0.176569i −0.00751153 0.00592526i
\(889\) −14.4027 5.75395i −0.483051 0.192981i
\(890\) 6.97967 + 9.88620i 0.233959 + 0.331386i
\(891\) −14.9282 + 7.58380i −0.500112 + 0.254067i
\(892\) −10.8925 + 6.28877i −0.364707 + 0.210563i
\(893\) −55.8348 32.2362i −1.86844 1.07874i
\(894\) 0.726242 + 1.82192i 0.0242892 + 0.0609342i
\(895\) 2.94146 + 32.1836i 0.0983222 + 1.07578i
\(896\) −2.45694 0.981558i −0.0820805 0.0327916i
\(897\) −2.47817 + 17.0558i −0.0827439 + 0.569476i
\(898\) 5.22072i 0.174218i
\(899\) −0.0140274 0.0242961i −0.000467839 0.000810321i
\(900\) 6.07951 + 13.7128i 0.202650 + 0.457092i
\(901\) 9.04961 15.6744i 0.301486 0.522190i
\(902\) −8.81074 + 5.08688i −0.293366 + 0.169375i
\(903\) −31.2455 0.0240328i −1.03978 0.000799762i
\(904\) 7.61565 13.1907i 0.253293 0.438716i
\(905\) −7.24181 3.34279i −0.240726 0.111118i
\(906\) 1.64078 2.08004i 0.0545113 0.0691047i
\(907\) 44.8441 + 25.8908i 1.48902 + 0.859688i 0.999921 0.0125378i \(-0.00399102\pi\)
0.489103 + 0.872226i \(0.337324\pi\)
\(908\) 2.95515 + 1.70616i 0.0980702 + 0.0566209i
\(909\) −6.90901 + 6.54856i −0.229157 + 0.217202i
\(910\) −3.39592 14.2049i −0.112573 0.470887i
\(911\) 8.58686 + 14.8729i 0.284495 + 0.492760i 0.972487 0.232959i \(-0.0748406\pi\)
−0.687991 + 0.725719i \(0.741507\pi\)
\(912\) −7.00135 5.52282i −0.231838 0.182879i
\(913\) 30.6713i 1.01507i
\(914\) 12.2815 0.406236
\(915\) 13.5910 20.8924i 0.449305 0.690680i
\(916\) −12.0334 20.8424i −0.397594 0.688653i
\(917\) −44.2415 + 6.39347i −1.46098 + 0.211131i
\(918\) −36.9065 + 3.35785i −1.21809 + 0.110826i
\(919\) 3.73425 6.46790i 0.123181 0.213356i −0.797839 0.602870i \(-0.794024\pi\)
0.921021 + 0.389514i \(0.127357\pi\)
\(920\) 0.820319 + 8.97540i 0.0270451 + 0.295910i
\(921\) 50.5327 + 7.34232i 1.66511 + 0.241938i
\(922\) −2.26214 + 1.30604i −0.0744995 + 0.0430123i
\(923\) −21.4472 12.3826i −0.705944 0.407577i
\(924\) 7.38672 4.25715i 0.243005 0.140050i
\(925\) −0.149193 0.809368i −0.00490543 0.0266119i
\(926\) −9.80220 + 16.9779i −0.322120 + 0.557929i
\(927\) 28.2905 6.77406i 0.929181 0.222489i
\(928\) −0.976031 + 0.563512i −0.0320398 + 0.0184982i
\(929\) −1.78849 −0.0586783 −0.0293391 0.999570i \(-0.509340\pi\)
−0.0293391 + 0.999570i \(0.509340\pi\)
\(930\) 0.0808144 + 0.0525718i 0.00265001 + 0.00172390i
\(931\) −34.5648 + 10.2032i −1.13282 + 0.334397i
\(932\) −20.5971 11.8917i −0.674681 0.389527i
\(933\) 2.05285 14.1285i 0.0672073 0.462547i
\(934\) −8.06679 + 13.9721i −0.263953 + 0.457181i
\(935\) −12.4346 + 26.9383i −0.406656 + 0.880978i
\(936\) 5.37529 5.09485i 0.175697 0.166531i
\(937\) 37.8051i 1.23504i 0.786556 + 0.617519i \(0.211862\pi\)
−0.786556 + 0.617519i \(0.788138\pi\)
\(938\) −15.4530 + 38.6805i −0.504559 + 1.26296i
\(939\) 5.87913 + 0.854228i 0.191858 + 0.0278767i
\(940\) 11.7355 25.4236i 0.382768 0.829227i
\(941\) −23.3674 −0.761756 −0.380878 0.924625i \(-0.624378\pi\)
−0.380878 + 0.924625i \(0.624378\pi\)
\(942\) −0.462802 + 3.18518i −0.0150789 + 0.103779i
\(943\) 22.0414i 0.717765i
\(944\) 8.64779 0.281462
\(945\) 9.82735 + 29.1277i 0.319684 + 0.947524i
\(946\) −12.6852 −0.412430
\(947\) 48.7370i 1.58374i 0.610689 + 0.791870i \(0.290892\pi\)
−0.610689 + 0.791870i \(0.709108\pi\)
\(948\) 3.15412 21.7079i 0.102441 0.705039i
\(949\) 25.0670 0.813709
\(950\) −4.66654 25.3159i −0.151403 0.821356i
\(951\) 45.5543 + 6.61896i 1.47720 + 0.214635i
\(952\) 18.6755 2.69885i 0.605275 0.0874702i
\(953\) 41.3647i 1.33993i 0.742391 + 0.669967i \(0.233692\pi\)
−0.742391 + 0.669967i \(0.766308\pi\)
\(954\) −1.77285 7.40396i −0.0573982 0.239712i
\(955\) 3.89286 + 1.79693i 0.125970 + 0.0581473i
\(956\) 11.4772 19.8792i 0.371201 0.642938i
\(957\) 0.522199 3.59398i 0.0168803 0.116177i
\(958\) −19.4427 11.2252i −0.628164 0.362671i
\(959\) −9.93936 + 7.82798i −0.320959 + 0.252779i
\(960\) 2.11193 3.24650i 0.0681622 0.104780i
\(961\) −30.9994 −0.999980
\(962\) −0.351912 + 0.203177i −0.0113461 + 0.00655068i
\(963\) −8.36028 8.82046i −0.269406 0.284235i
\(964\) −6.08000 + 10.5309i −0.195824 + 0.339177i
\(965\) −13.3521 + 28.9259i −0.429819 + 0.931158i
\(966\) −0.0142070 + 18.4708i −0.000457102 + 0.594287i
\(967\) −1.14078 0.658630i −0.0366850 0.0211801i 0.481545 0.876421i \(-0.340076\pi\)
−0.518230 + 0.855241i \(0.673409\pi\)
\(968\) −6.52872 + 3.76936i −0.209841 + 0.121152i
\(969\) 62.9381 + 9.14480i 2.02186 + 0.293773i
\(970\) 0.837733 + 9.16593i 0.0268980 + 0.294300i
\(971\) 15.0115 26.0006i 0.481741 0.834399i −0.518040 0.855357i \(-0.673338\pi\)
0.999780 + 0.0209572i \(0.00667136\pi\)
\(972\) −10.2957 + 11.7046i −0.330234 + 0.375427i
\(973\) 2.68244 + 3.40595i 0.0859949 + 0.109190i
\(974\) 14.7555 + 25.5573i 0.472797 + 0.818909i
\(975\) 21.3643 0.812186i 0.684206 0.0260108i
\(976\) −6.43535 −0.205991
\(977\) 47.0686i 1.50586i −0.658101 0.752929i \(-0.728640\pi\)
0.658101 0.752929i \(-0.271360\pi\)
\(978\) 30.6271 + 24.1593i 0.979347 + 0.772530i
\(979\) 5.03445 + 8.71993i 0.160902 + 0.278690i
\(980\) −5.77939 14.5464i −0.184616 0.464669i
\(981\) 5.35102 + 22.3475i 0.170845 + 0.713500i
\(982\) 3.46646 + 2.00136i 0.110619 + 0.0638661i
\(983\) −37.8324 21.8425i −1.20666 0.696668i −0.244636 0.969615i \(-0.578668\pi\)
−0.962029 + 0.272947i \(0.912002\pi\)
\(984\) −5.86604 + 7.43646i −0.187003 + 0.237066i
\(985\) −12.5824 + 27.2584i −0.400908 + 0.868526i
\(986\) 4.01896 6.96104i 0.127990 0.221685i
\(987\) 28.7312 49.6756i 0.914523 1.58119i
\(988\) −11.0073 + 6.35508i −0.350189 + 0.202182i
\(989\) 13.7411 23.8004i 0.436943 0.756807i
\(990\) 3.99884 + 11.8223i 0.127091 + 0.375738i
\(991\) −16.5047 28.5870i −0.524289 0.908095i −0.999600 0.0282776i \(-0.990998\pi\)
0.475311 0.879818i \(-0.342336\pi\)
\(992\) 0.0248928i 0.000790346i
\(993\) −0.576747 + 3.96940i −0.0183025 + 0.125965i
\(994\) −24.6469 9.84656i −0.781753 0.312314i
\(995\) 1.35674 + 14.8446i 0.0430116 + 0.470605i
\(996\) −10.5731 26.5248i −0.335023 0.840471i
\(997\) 45.2935 + 26.1502i 1.43446 + 0.828186i 0.997457 0.0712737i \(-0.0227064\pi\)
0.437004 + 0.899460i \(0.356040\pi\)
\(998\) −2.97954 + 1.72024i −0.0943158 + 0.0544532i
\(999\) 0.698908 0.493000i 0.0221125 0.0155978i
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.ba.a.499.12 96
3.2 odd 2 1890.2.ba.a.1549.31 96
5.4 even 2 inner 630.2.ba.a.499.37 yes 96
7.4 even 3 630.2.bq.a.319.28 yes 96
9.2 odd 6 1890.2.bq.a.289.42 96
9.7 even 3 630.2.bq.a.79.21 yes 96
15.14 odd 2 1890.2.ba.a.1549.20 96
21.11 odd 6 1890.2.bq.a.739.16 96
35.4 even 6 630.2.bq.a.319.21 yes 96
45.29 odd 6 1890.2.bq.a.289.16 96
45.34 even 6 630.2.bq.a.79.28 yes 96
63.11 odd 6 1890.2.ba.a.1369.20 96
63.25 even 3 inner 630.2.ba.a.529.13 yes 96
105.74 odd 6 1890.2.bq.a.739.42 96
315.74 odd 6 1890.2.ba.a.1369.31 96
315.214 even 6 inner 630.2.ba.a.529.36 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
630.2.ba.a.499.12 96 1.1 even 1 trivial
630.2.ba.a.499.37 yes 96 5.4 even 2 inner
630.2.ba.a.529.13 yes 96 63.25 even 3 inner
630.2.ba.a.529.36 yes 96 315.214 even 6 inner
630.2.bq.a.79.21 yes 96 9.7 even 3
630.2.bq.a.79.28 yes 96 45.34 even 6
630.2.bq.a.319.21 yes 96 35.4 even 6
630.2.bq.a.319.28 yes 96 7.4 even 3
1890.2.ba.a.1369.20 96 63.11 odd 6
1890.2.ba.a.1369.31 96 315.74 odd 6
1890.2.ba.a.1549.20 96 15.14 odd 2
1890.2.ba.a.1549.31 96 3.2 odd 2
1890.2.bq.a.289.16 96 45.29 odd 6
1890.2.bq.a.289.42 96 9.2 odd 6
1890.2.bq.a.739.16 96 21.11 odd 6
1890.2.bq.a.739.42 96 105.74 odd 6