Properties

Label 280.2.bl.b.221.3
Level $280$
Weight $2$
Character 280.221
Analytic conductor $2.236$
Analytic rank $0$
Dimension $60$
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] = [280,2,Mod(221,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.221");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bl (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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(30\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.3
Character \(\chi\) \(=\) 280.221
Dual form 280.2.bl.b.261.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.33035 + 0.479764i) q^{2} +(2.73909 + 1.58141i) q^{3} +(1.53965 - 1.27651i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-4.40265 - 0.789713i) q^{6} +(-2.49644 + 0.876244i) q^{7} +(-1.43585 + 2.43687i) q^{8} +(3.50174 + 6.06518i) q^{9} +O(q^{10})\) \(q+(-1.33035 + 0.479764i) q^{2} +(2.73909 + 1.58141i) q^{3} +(1.53965 - 1.27651i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-4.40265 - 0.789713i) q^{6} +(-2.49644 + 0.876244i) q^{7} +(-1.43585 + 2.43687i) q^{8} +(3.50174 + 6.06518i) q^{9} +(-0.912233 + 1.08066i) q^{10} +(-0.236804 - 0.136719i) q^{11} +(6.23593 - 1.06164i) q^{12} +2.65486i q^{13} +(2.90074 - 2.36341i) q^{14} +3.16283 q^{15} +(0.741057 - 3.93075i) q^{16} +(-0.602241 + 1.04311i) q^{17} +(-7.56839 - 6.38880i) q^{18} +(5.96453 - 3.44362i) q^{19} +(0.695124 - 1.87531i) q^{20} +(-8.22366 - 1.54779i) q^{21} +(0.380625 + 0.0682735i) q^{22} +(-2.31265 - 4.00563i) q^{23} +(-7.78662 + 4.40413i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-1.27371 - 3.53189i) q^{26} +12.6623i q^{27} +(-2.72511 + 4.53583i) q^{28} +3.51766i q^{29} +(-4.20766 + 1.51741i) q^{30} +(4.44969 - 7.70709i) q^{31} +(0.899973 + 5.58481i) q^{32} +(-0.432418 - 0.748970i) q^{33} +(0.300742 - 1.67664i) q^{34} +(-1.72386 + 2.00707i) q^{35} +(13.1337 + 4.86828i) q^{36} +(2.47951 - 1.43155i) q^{37} +(-6.28277 + 7.44278i) q^{38} +(-4.19844 + 7.27191i) q^{39} +(-0.0250479 + 2.82832i) q^{40} -10.8498 q^{41} +(11.6829 - 1.88632i) q^{42} +0.700753i q^{43} +(-0.539119 + 0.0917826i) q^{44} +(6.06518 + 3.50174i) q^{45} +(4.99839 + 4.21935i) q^{46} +(-3.32839 - 5.76493i) q^{47} +(8.24597 - 9.59477i) q^{48} +(5.46439 - 4.37497i) q^{49} +(-0.249686 + 1.39200i) q^{50} +(-3.29918 + 1.90479i) q^{51} +(3.38895 + 4.08757i) q^{52} +(4.06305 + 2.34580i) q^{53} +(-6.07491 - 16.8452i) q^{54} -0.273438 q^{55} +(1.44922 - 7.34165i) q^{56} +21.7832 q^{57} +(-1.68765 - 4.67971i) q^{58} +(-11.4195 - 6.59302i) q^{59} +(4.86965 - 4.03737i) q^{60} +(-5.37293 + 3.10206i) q^{61} +(-2.22205 + 12.3879i) q^{62} +(-14.0564 - 12.0730i) q^{63} +(-3.87667 - 6.99796i) q^{64} +(1.32743 + 2.29918i) q^{65} +(0.934596 + 0.788932i) q^{66} +(-6.90286 - 3.98537i) q^{67} +(0.404299 + 2.37480i) q^{68} -14.6290i q^{69} +(1.33041 - 3.49714i) q^{70} +1.52699 q^{71} +(-19.8080 - 0.175422i) q^{72} +(4.91843 - 8.51898i) q^{73} +(-2.61181 + 3.09404i) q^{74} +(2.73909 - 1.58141i) q^{75} +(4.78749 - 12.9157i) q^{76} +(0.710965 + 0.133812i) q^{77} +(2.09658 - 11.6884i) q^{78} +(-2.61951 - 4.53713i) q^{79} +(-1.32360 - 3.77466i) q^{80} +(-9.51910 + 16.4876i) q^{81} +(14.4340 - 5.20536i) q^{82} +0.725201i q^{83} +(-14.6373 + 8.11451i) q^{84} +1.20448i q^{85} +(-0.336196 - 0.932245i) q^{86} +(-5.56287 + 9.63518i) q^{87} +(0.673181 - 0.380753i) q^{88} +(3.54714 + 6.14383i) q^{89} +(-9.74881 - 1.74867i) q^{90} +(-2.32631 - 6.62770i) q^{91} +(-8.67390 - 3.21516i) q^{92} +(24.3762 - 14.0736i) q^{93} +(7.19372 + 6.07253i) q^{94} +(3.44362 - 5.96453i) q^{95} +(-6.36678 + 16.7205i) q^{96} +5.59119 q^{97} +(-5.17059 + 8.44186i) q^{98} -1.91501i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33035 + 0.479764i −0.940698 + 0.339245i
\(3\) 2.73909 + 1.58141i 1.58141 + 0.913029i 0.994654 + 0.103268i \(0.0329300\pi\)
0.586760 + 0.809761i \(0.300403\pi\)
\(4\) 1.53965 1.27651i 0.769826 0.638254i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −4.40265 0.789713i −1.79737 0.322399i
\(7\) −2.49644 + 0.876244i −0.943564 + 0.331189i
\(8\) −1.43585 + 2.43687i −0.507650 + 0.861564i
\(9\) 3.50174 + 6.06518i 1.16725 + 2.02173i
\(10\) −0.912233 + 1.08066i −0.288473 + 0.341735i
\(11\) −0.236804 0.136719i −0.0713991 0.0412223i 0.463875 0.885900i \(-0.346459\pi\)
−0.535275 + 0.844678i \(0.679792\pi\)
\(12\) 6.23593 1.06164i 1.80016 0.306469i
\(13\) 2.65486i 0.736327i 0.929761 + 0.368163i \(0.120013\pi\)
−0.929761 + 0.368163i \(0.879987\pi\)
\(14\) 2.90074 2.36341i 0.775255 0.631648i
\(15\) 3.16283 0.816638
\(16\) 0.741057 3.93075i 0.185264 0.982689i
\(17\) −0.602241 + 1.04311i −0.146065 + 0.252992i −0.929770 0.368142i \(-0.879994\pi\)
0.783705 + 0.621133i \(0.213328\pi\)
\(18\) −7.56839 6.38880i −1.78389 1.50585i
\(19\) 5.96453 3.44362i 1.36836 0.790021i 0.377638 0.925953i \(-0.376736\pi\)
0.990718 + 0.135932i \(0.0434030\pi\)
\(20\) 0.695124 1.87531i 0.155434 0.419333i
\(21\) −8.22366 1.54779i −1.79455 0.337755i
\(22\) 0.380625 + 0.0682735i 0.0811495 + 0.0145560i
\(23\) −2.31265 4.00563i −0.482221 0.835232i 0.517571 0.855641i \(-0.326836\pi\)
−0.999792 + 0.0204090i \(0.993503\pi\)
\(24\) −7.78662 + 4.40413i −1.58944 + 0.898989i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −1.27371 3.53189i −0.249795 0.692661i
\(27\) 12.6623i 2.43686i
\(28\) −2.72511 + 4.53583i −0.514998 + 0.857191i
\(29\) 3.51766i 0.653213i 0.945160 + 0.326607i \(0.105905\pi\)
−0.945160 + 0.326607i \(0.894095\pi\)
\(30\) −4.20766 + 1.51741i −0.768210 + 0.277040i
\(31\) 4.44969 7.70709i 0.799188 1.38424i −0.120957 0.992658i \(-0.538596\pi\)
0.920145 0.391577i \(-0.128070\pi\)
\(32\) 0.899973 + 5.58481i 0.159094 + 0.987263i
\(33\) −0.432418 0.748970i −0.0752743 0.130379i
\(34\) 0.300742 1.67664i 0.0515769 0.287541i
\(35\) −1.72386 + 2.00707i −0.291385 + 0.339256i
\(36\) 13.1337 + 4.86828i 2.18895 + 0.811380i
\(37\) 2.47951 1.43155i 0.407629 0.235345i −0.282141 0.959373i \(-0.591045\pi\)
0.689771 + 0.724028i \(0.257711\pi\)
\(38\) −6.28277 + 7.44278i −1.01920 + 1.20738i
\(39\) −4.19844 + 7.27191i −0.672288 + 1.16444i
\(40\) −0.0250479 + 2.82832i −0.00396042 + 0.447196i
\(41\) −10.8498 −1.69446 −0.847228 0.531229i \(-0.821730\pi\)
−0.847228 + 0.531229i \(0.821730\pi\)
\(42\) 11.6829 1.88632i 1.80271 0.291066i
\(43\) 0.700753i 0.106864i 0.998571 + 0.0534319i \(0.0170160\pi\)
−0.998571 + 0.0534319i \(0.982984\pi\)
\(44\) −0.539119 + 0.0917826i −0.0812752 + 0.0138368i
\(45\) 6.06518 + 3.50174i 0.904144 + 0.522008i
\(46\) 4.99839 + 4.21935i 0.736972 + 0.622110i
\(47\) −3.32839 5.76493i −0.485495 0.840902i 0.514366 0.857571i \(-0.328027\pi\)
−0.999861 + 0.0166687i \(0.994694\pi\)
\(48\) 8.24597 9.59477i 1.19020 1.38489i
\(49\) 5.46439 4.37497i 0.780628 0.624996i
\(50\) −0.249686 + 1.39200i −0.0353109 + 0.196858i
\(51\) −3.29918 + 1.90479i −0.461978 + 0.266723i
\(52\) 3.38895 + 4.08757i 0.469963 + 0.566844i
\(53\) 4.06305 + 2.34580i 0.558103 + 0.322221i 0.752384 0.658725i \(-0.228904\pi\)
−0.194281 + 0.980946i \(0.562237\pi\)
\(54\) −6.07491 16.8452i −0.826691 2.29235i
\(55\) −0.273438 −0.0368703
\(56\) 1.44922 7.34165i 0.193660 0.981069i
\(57\) 21.7832 2.88525
\(58\) −1.68765 4.67971i −0.221599 0.614476i
\(59\) −11.4195 6.59302i −1.48669 0.858339i −0.486801 0.873513i \(-0.661836\pi\)
−0.999885 + 0.0151741i \(0.995170\pi\)
\(60\) 4.86965 4.03737i 0.628669 0.521222i
\(61\) −5.37293 + 3.10206i −0.687933 + 0.397179i −0.802837 0.596198i \(-0.796677\pi\)
0.114904 + 0.993377i \(0.463344\pi\)
\(62\) −2.22205 + 12.3879i −0.282201 + 1.57327i
\(63\) −14.0564 12.0730i −1.77095 1.52105i
\(64\) −3.87667 6.99796i −0.484584 0.874745i
\(65\) 1.32743 + 2.29918i 0.164648 + 0.285178i
\(66\) 0.934596 + 0.788932i 0.115041 + 0.0971108i
\(67\) −6.90286 3.98537i −0.843318 0.486890i 0.0150725 0.999886i \(-0.495202\pi\)
−0.858391 + 0.512996i \(0.828535\pi\)
\(68\) 0.404299 + 2.37480i 0.0490285 + 0.287986i
\(69\) 14.6290i 1.76113i
\(70\) 1.33041 3.49714i 0.159014 0.417989i
\(71\) 1.52699 0.181220 0.0906099 0.995886i \(-0.471118\pi\)
0.0906099 + 0.995886i \(0.471118\pi\)
\(72\) −19.8080 0.175422i −2.33440 0.0206737i
\(73\) 4.91843 8.51898i 0.575659 0.997071i −0.420310 0.907380i \(-0.638079\pi\)
0.995970 0.0896907i \(-0.0285879\pi\)
\(74\) −2.61181 + 3.09404i −0.303617 + 0.359675i
\(75\) 2.73909 1.58141i 0.316283 0.182606i
\(76\) 4.78749 12.9157i 0.549162 1.48154i
\(77\) 0.710965 + 0.133812i 0.0810220 + 0.0152493i
\(78\) 2.09658 11.6884i 0.237391 1.32345i
\(79\) −2.61951 4.53713i −0.294718 0.510467i 0.680201 0.733025i \(-0.261892\pi\)
−0.974919 + 0.222559i \(0.928559\pi\)
\(80\) −1.32360 3.77466i −0.147983 0.422020i
\(81\) −9.51910 + 16.4876i −1.05768 + 1.83195i
\(82\) 14.4340 5.20536i 1.59397 0.574835i
\(83\) 0.725201i 0.0796011i 0.999208 + 0.0398006i \(0.0126723\pi\)
−0.999208 + 0.0398006i \(0.987328\pi\)
\(84\) −14.6373 + 8.11451i −1.59707 + 0.885366i
\(85\) 1.20448i 0.130645i
\(86\) −0.336196 0.932245i −0.0362530 0.100527i
\(87\) −5.56287 + 9.63518i −0.596403 + 1.03300i
\(88\) 0.673181 0.380753i 0.0717614 0.0405884i
\(89\) 3.54714 + 6.14383i 0.375996 + 0.651245i 0.990476 0.137688i \(-0.0439672\pi\)
−0.614479 + 0.788933i \(0.710634\pi\)
\(90\) −9.74881 1.74867i −1.02762 0.184326i
\(91\) −2.32631 6.62770i −0.243863 0.694772i
\(92\) −8.67390 3.21516i −0.904316 0.335204i
\(93\) 24.3762 14.0736i 2.52769 1.45937i
\(94\) 7.19372 + 6.07253i 0.741976 + 0.626333i
\(95\) 3.44362 5.96453i 0.353308 0.611948i
\(96\) −6.36678 + 16.7205i −0.649807 + 1.70653i
\(97\) 5.59119 0.567699 0.283850 0.958869i \(-0.408388\pi\)
0.283850 + 0.958869i \(0.408388\pi\)
\(98\) −5.17059 + 8.44186i −0.522308 + 0.852757i
\(99\) 1.91501i 0.192466i
\(100\) −0.335662 1.97163i −0.0335662 0.197163i
\(101\) 4.77971 + 2.75957i 0.475599 + 0.274587i 0.718580 0.695444i \(-0.244792\pi\)
−0.242982 + 0.970031i \(0.578126\pi\)
\(102\) 3.47522 4.11686i 0.344098 0.407630i
\(103\) 9.62558 + 16.6720i 0.948437 + 1.64274i 0.748719 + 0.662888i \(0.230669\pi\)
0.199718 + 0.979853i \(0.435997\pi\)
\(104\) −6.46956 3.81199i −0.634392 0.373796i
\(105\) −7.89580 + 2.77141i −0.770551 + 0.270462i
\(106\) −6.53070 1.17143i −0.634318 0.113779i
\(107\) 10.3964 6.00238i 1.00506 0.580272i 0.0953192 0.995447i \(-0.469613\pi\)
0.909742 + 0.415174i \(0.136279\pi\)
\(108\) 16.1635 + 19.4955i 1.55533 + 1.87596i
\(109\) 5.55573 + 3.20760i 0.532143 + 0.307233i 0.741889 0.670523i \(-0.233930\pi\)
−0.209746 + 0.977756i \(0.567264\pi\)
\(110\) 0.363767 0.131186i 0.0346839 0.0125081i
\(111\) 9.05547 0.859507
\(112\) 1.59430 + 10.4622i 0.150647 + 0.988588i
\(113\) −7.44228 −0.700110 −0.350055 0.936729i \(-0.613837\pi\)
−0.350055 + 0.936729i \(0.613837\pi\)
\(114\) −28.9792 + 10.4508i −2.71415 + 0.978805i
\(115\) −4.00563 2.31265i −0.373527 0.215656i
\(116\) 4.49032 + 5.41597i 0.416916 + 0.502860i
\(117\) −16.1022 + 9.29663i −1.48865 + 0.859474i
\(118\) 18.3549 + 3.29237i 1.68971 + 0.303087i
\(119\) 0.589437 3.13178i 0.0540336 0.287089i
\(120\) −4.54135 + 7.70740i −0.414566 + 0.703586i
\(121\) −5.46262 9.46153i −0.496601 0.860139i
\(122\) 5.65961 6.70457i 0.512397 0.607003i
\(123\) −29.7186 17.1580i −2.67964 1.54709i
\(124\) −2.98718 17.5463i −0.268257 1.57571i
\(125\) 1.00000i 0.0894427i
\(126\) 24.4921 + 9.31748i 2.18193 + 0.830067i
\(127\) −3.99978 −0.354923 −0.177462 0.984128i \(-0.556789\pi\)
−0.177462 + 0.984128i \(0.556789\pi\)
\(128\) 8.51469 + 7.44983i 0.752599 + 0.658479i
\(129\) −1.10818 + 1.91942i −0.0975698 + 0.168996i
\(130\) −2.86901 2.42185i −0.251629 0.212411i
\(131\) 5.54146 3.19936i 0.484159 0.279530i −0.237989 0.971268i \(-0.576488\pi\)
0.722148 + 0.691738i \(0.243155\pi\)
\(132\) −1.62184 0.601168i −0.141163 0.0523250i
\(133\) −11.8726 + 13.8232i −1.02949 + 1.19862i
\(134\) 11.0952 + 1.99018i 0.958483 + 0.171925i
\(135\) 6.33114 + 10.9659i 0.544898 + 0.943791i
\(136\) −1.67720 2.96534i −0.143819 0.254276i
\(137\) −3.03793 + 5.26185i −0.259548 + 0.449551i −0.966121 0.258090i \(-0.916907\pi\)
0.706573 + 0.707640i \(0.250240\pi\)
\(138\) 7.01849 + 19.4617i 0.597453 + 1.65669i
\(139\) 18.7724i 1.59226i 0.605128 + 0.796128i \(0.293122\pi\)
−0.605128 + 0.796128i \(0.706878\pi\)
\(140\) −0.0921012 + 5.29070i −0.00778397 + 0.447146i
\(141\) 21.0542i 1.77308i
\(142\) −2.03142 + 0.732594i −0.170473 + 0.0614779i
\(143\) 0.362970 0.628683i 0.0303531 0.0525731i
\(144\) 26.4357 9.26982i 2.20298 0.772485i
\(145\) 1.75883 + 3.04638i 0.146063 + 0.252988i
\(146\) −2.45613 + 13.6929i −0.203271 + 1.13323i
\(147\) 21.8861 3.34198i 1.80513 0.275641i
\(148\) 1.99021 5.36920i 0.163594 0.441346i
\(149\) 0.260521 0.150412i 0.0213427 0.0123222i −0.489291 0.872121i \(-0.662744\pi\)
0.510633 + 0.859799i \(0.329411\pi\)
\(150\) −2.88523 + 3.41795i −0.235578 + 0.279074i
\(151\) 2.19288 3.79818i 0.178454 0.309091i −0.762897 0.646520i \(-0.776224\pi\)
0.941351 + 0.337429i \(0.109557\pi\)
\(152\) −0.172511 + 19.4793i −0.0139925 + 1.57998i
\(153\) −8.43556 −0.681975
\(154\) −1.01003 + 0.163079i −0.0813905 + 0.0131413i
\(155\) 8.89939i 0.714816i
\(156\) 2.81851 + 16.5555i 0.225661 + 1.32550i
\(157\) −9.33636 5.39035i −0.745122 0.430197i 0.0788064 0.996890i \(-0.474889\pi\)
−0.823929 + 0.566693i \(0.808222\pi\)
\(158\) 5.66162 + 4.77921i 0.450414 + 0.380214i
\(159\) 7.41937 + 12.8507i 0.588394 + 1.01913i
\(160\) 3.57180 + 4.38660i 0.282376 + 0.346791i
\(161\) 9.28330 + 7.97336i 0.731626 + 0.628388i
\(162\) 4.75357 26.5011i 0.373475 2.08212i
\(163\) −16.4067 + 9.47240i −1.28507 + 0.741935i −0.977771 0.209677i \(-0.932759\pi\)
−0.307299 + 0.951613i \(0.599425\pi\)
\(164\) −16.7049 + 13.8499i −1.30444 + 1.08149i
\(165\) −0.748970 0.432418i −0.0583072 0.0336637i
\(166\) −0.347926 0.964770i −0.0270043 0.0748806i
\(167\) −17.6708 −1.36741 −0.683703 0.729760i \(-0.739632\pi\)
−0.683703 + 0.729760i \(0.739632\pi\)
\(168\) 15.5797 17.8176i 1.20200 1.37466i
\(169\) 5.95170 0.457823
\(170\) −0.577868 1.60238i −0.0443205 0.122897i
\(171\) 41.7724 + 24.1173i 3.19441 + 1.84430i
\(172\) 0.894517 + 1.07892i 0.0682062 + 0.0822666i
\(173\) −4.70687 + 2.71751i −0.357856 + 0.206608i −0.668140 0.744036i \(-0.732909\pi\)
0.310284 + 0.950644i \(0.399576\pi\)
\(174\) 2.77794 15.4870i 0.210595 1.17407i
\(175\) −0.489369 + 2.60010i −0.0369928 + 0.196549i
\(176\) −0.712894 + 0.829502i −0.0537364 + 0.0625261i
\(177\) −20.8526 36.1177i −1.56738 2.71478i
\(178\) −7.66653 6.47164i −0.574630 0.485070i
\(179\) 10.0187 + 5.78428i 0.748830 + 0.432337i 0.825271 0.564737i \(-0.191022\pi\)
−0.0764410 + 0.997074i \(0.524356\pi\)
\(180\) 13.8083 2.35080i 1.02921 0.175218i
\(181\) 16.9301i 1.25841i 0.777241 + 0.629203i \(0.216619\pi\)
−0.777241 + 0.629203i \(0.783381\pi\)
\(182\) 6.27453 + 7.70107i 0.465099 + 0.570841i
\(183\) −19.6226 −1.45054
\(184\) 13.0818 + 0.115854i 0.964404 + 0.00854088i
\(185\) 1.43155 2.47951i 0.105249 0.182297i
\(186\) −25.6768 + 30.4176i −1.88272 + 2.23033i
\(187\) 0.285226 0.164676i 0.0208578 0.0120423i
\(188\) −12.4835 4.62728i −0.910456 0.337479i
\(189\) −11.0952 31.6106i −0.807060 2.29933i
\(190\) −1.71965 + 9.58702i −0.124756 + 0.695516i
\(191\) −2.27447 3.93950i −0.164575 0.285052i 0.771929 0.635708i \(-0.219292\pi\)
−0.936504 + 0.350656i \(0.885959\pi\)
\(192\) 0.448131 25.2986i 0.0323411 1.82577i
\(193\) −1.14273 + 1.97926i −0.0822552 + 0.142470i −0.904218 0.427071i \(-0.859546\pi\)
0.821963 + 0.569541i \(0.192879\pi\)
\(194\) −7.43823 + 2.68245i −0.534034 + 0.192589i
\(195\) 8.39687i 0.601313i
\(196\) 2.82858 13.7113i 0.202041 0.979377i
\(197\) 6.69546i 0.477031i 0.971139 + 0.238516i \(0.0766609\pi\)
−0.971139 + 0.238516i \(0.923339\pi\)
\(198\) 0.918755 + 2.54763i 0.0652931 + 0.181052i
\(199\) −7.77361 + 13.4643i −0.551057 + 0.954458i 0.447142 + 0.894463i \(0.352442\pi\)
−0.998199 + 0.0599952i \(0.980891\pi\)
\(200\) 1.39247 + 2.46192i 0.0984622 + 0.174084i
\(201\) −12.6050 21.8325i −0.889090 1.53995i
\(202\) −7.68262 1.37805i −0.540547 0.0969592i
\(203\) −3.08233 8.78162i −0.216337 0.616349i
\(204\) −2.64812 + 7.14414i −0.185406 + 0.500190i
\(205\) −9.39621 + 5.42491i −0.656260 + 0.378892i
\(206\) −20.8040 17.5616i −1.44948 1.22357i
\(207\) 16.1966 28.0533i 1.12574 1.94984i
\(208\) 10.4356 + 1.96741i 0.723580 + 0.136415i
\(209\) −1.88323 −0.130266
\(210\) 9.17454 7.47506i 0.633103 0.515828i
\(211\) 20.4793i 1.40985i −0.709280 0.704926i \(-0.750980\pi\)
0.709280 0.704926i \(-0.249020\pi\)
\(212\) 9.25012 1.57479i 0.635301 0.108157i
\(213\) 4.18255 + 2.41480i 0.286583 + 0.165459i
\(214\) −10.9511 + 12.9731i −0.748605 + 0.886823i
\(215\) 0.350377 + 0.606870i 0.0238955 + 0.0413882i
\(216\) −30.8563 18.1811i −2.09951 1.23707i
\(217\) −4.35508 + 23.1393i −0.295642 + 1.57080i
\(218\) −8.92996 1.60179i −0.604813 0.108487i
\(219\) 26.9441 15.5562i 1.82071 1.05119i
\(220\) −0.420999 + 0.349045i −0.0283837 + 0.0235326i
\(221\) −2.76932 1.59887i −0.186285 0.107552i
\(222\) −12.0469 + 4.34449i −0.808537 + 0.291583i
\(223\) 10.1899 0.682366 0.341183 0.939997i \(-0.389172\pi\)
0.341183 + 0.939997i \(0.389172\pi\)
\(224\) −7.14038 13.1535i −0.477086 0.878856i
\(225\) 7.00347 0.466898
\(226\) 9.90082 3.57054i 0.658593 0.237509i
\(227\) −6.26336 3.61615i −0.415714 0.240012i 0.277528 0.960718i \(-0.410485\pi\)
−0.693242 + 0.720705i \(0.743818\pi\)
\(228\) 33.5385 27.8064i 2.22114 1.84152i
\(229\) −11.1208 + 6.42061i −0.734885 + 0.424286i −0.820207 0.572068i \(-0.806142\pi\)
0.0853218 + 0.996353i \(0.472808\pi\)
\(230\) 6.43841 + 1.15487i 0.424536 + 0.0761500i
\(231\) 1.73578 + 1.49085i 0.114206 + 0.0980909i
\(232\) −8.57208 5.05083i −0.562785 0.331603i
\(233\) −3.96177 6.86199i −0.259544 0.449544i 0.706576 0.707638i \(-0.250239\pi\)
−0.966120 + 0.258094i \(0.916906\pi\)
\(234\) 16.9614 20.0930i 1.10880 1.31352i
\(235\) −5.76493 3.32839i −0.376063 0.217120i
\(236\) −25.9980 + 4.42605i −1.69233 + 0.288112i
\(237\) 16.5701i 1.07635i
\(238\) 0.718359 + 4.44914i 0.0465643 + 0.288395i
\(239\) 12.8639 0.832097 0.416048 0.909342i \(-0.363415\pi\)
0.416048 + 0.909342i \(0.363415\pi\)
\(240\) 2.34383 12.4323i 0.151294 0.802501i
\(241\) 2.90947 5.03934i 0.187415 0.324613i −0.756973 0.653447i \(-0.773322\pi\)
0.944388 + 0.328834i \(0.106656\pi\)
\(242\) 11.8065 + 9.96636i 0.758950 + 0.640662i
\(243\) −19.2497 + 11.1138i −1.23487 + 0.712952i
\(244\) −4.31264 + 11.6347i −0.276088 + 0.744834i
\(245\) 2.54482 6.52104i 0.162582 0.416614i
\(246\) 47.7679 + 8.56824i 3.04557 + 0.546291i
\(247\) 9.14235 + 15.8350i 0.581713 + 1.00756i
\(248\) 12.3921 + 21.9096i 0.786899 + 1.39126i
\(249\) −1.14684 + 1.98639i −0.0726782 + 0.125882i
\(250\) 0.479764 + 1.33035i 0.0303430 + 0.0841386i
\(251\) 18.6797i 1.17905i 0.807748 + 0.589527i \(0.200686\pi\)
−0.807748 + 0.589527i \(0.799314\pi\)
\(252\) −37.0533 0.645028i −2.33414 0.0406329i
\(253\) 1.26473i 0.0795130i
\(254\) 5.32110 1.91895i 0.333876 0.120406i
\(255\) −1.90479 + 3.29918i −0.119282 + 0.206603i
\(256\) −14.9017 5.82583i −0.931354 0.364114i
\(257\) 0.578668 + 1.00228i 0.0360963 + 0.0625207i 0.883509 0.468414i \(-0.155174\pi\)
−0.847413 + 0.530935i \(0.821841\pi\)
\(258\) 0.553394 3.08517i 0.0344528 0.192074i
\(259\) −4.93556 + 5.74642i −0.306681 + 0.357065i
\(260\) 4.97870 + 1.84546i 0.308766 + 0.114451i
\(261\) −21.3353 + 12.3179i −1.32062 + 0.762460i
\(262\) −5.83713 + 6.91486i −0.360619 + 0.427201i
\(263\) 4.55621 7.89159i 0.280948 0.486616i −0.690671 0.723170i \(-0.742684\pi\)
0.971618 + 0.236553i \(0.0760178\pi\)
\(264\) 2.44603 + 0.0216623i 0.150543 + 0.00133323i
\(265\) 4.69161 0.288203
\(266\) 9.16285 24.0857i 0.561810 1.47679i
\(267\) 22.4380i 1.37318i
\(268\) −15.7153 + 2.67547i −0.959968 + 0.163430i
\(269\) 21.6334 + 12.4901i 1.31901 + 0.761533i 0.983570 0.180527i \(-0.0577802\pi\)
0.335444 + 0.942060i \(0.391114\pi\)
\(270\) −13.6837 11.5510i −0.832761 0.702969i
\(271\) −1.39016 2.40783i −0.0844461 0.146265i 0.820709 0.571347i \(-0.193579\pi\)
−0.905155 + 0.425082i \(0.860245\pi\)
\(272\) 3.65393 + 3.14027i 0.221552 + 0.190407i
\(273\) 4.10917 21.8327i 0.248698 1.32138i
\(274\) 1.51706 8.45759i 0.0916488 0.510942i
\(275\) −0.236804 + 0.136719i −0.0142798 + 0.00824446i
\(276\) −18.6741 22.5236i −1.12405 1.35576i
\(277\) 2.81665 + 1.62620i 0.169236 + 0.0977086i 0.582226 0.813027i \(-0.302182\pi\)
−0.412989 + 0.910736i \(0.635515\pi\)
\(278\) −9.00634 24.9739i −0.540165 1.49783i
\(279\) 62.3266 3.73140
\(280\) −2.41576 7.08266i −0.144370 0.423270i
\(281\) −17.9066 −1.06822 −0.534109 0.845416i \(-0.679353\pi\)
−0.534109 + 0.845416i \(0.679353\pi\)
\(282\) 10.1011 + 28.0094i 0.601510 + 1.66794i
\(283\) −3.28577 1.89704i −0.195319 0.112767i 0.399151 0.916885i \(-0.369305\pi\)
−0.594470 + 0.804118i \(0.702638\pi\)
\(284\) 2.35103 1.94921i 0.139508 0.115664i
\(285\) 18.8648 10.8916i 1.11745 0.645161i
\(286\) −0.181257 + 1.01051i −0.0107179 + 0.0597525i
\(287\) 27.0859 9.50708i 1.59883 0.561185i
\(288\) −30.7214 + 25.0150i −1.81028 + 1.47402i
\(289\) 7.77461 + 13.4660i 0.457330 + 0.792119i
\(290\) −3.80140 3.20893i −0.223226 0.188435i
\(291\) 15.3148 + 8.84198i 0.897767 + 0.518326i
\(292\) −3.30186 19.3947i −0.193227 1.13499i
\(293\) 17.1671i 1.00292i 0.865182 + 0.501458i \(0.167203\pi\)
−0.865182 + 0.501458i \(0.832797\pi\)
\(294\) −27.5128 + 14.9462i −1.60458 + 0.871678i
\(295\) −13.1860 −0.767721
\(296\) −0.0717145 + 8.09774i −0.00416832 + 0.470671i
\(297\) 1.73117 2.99848i 0.100453 0.173989i
\(298\) −0.274421 + 0.325089i −0.0158968 + 0.0188319i
\(299\) 10.6344 6.13977i 0.615003 0.355072i
\(300\) 2.19856 5.93129i 0.126934 0.342443i
\(301\) −0.614030 1.74939i −0.0353921 0.100833i
\(302\) −1.09506 + 6.10496i −0.0630137 + 0.351301i
\(303\) 8.72803 + 15.1174i 0.501412 + 0.868471i
\(304\) −9.11598 25.9970i −0.522837 1.49103i
\(305\) −3.10206 + 5.37293i −0.177624 + 0.307653i
\(306\) 11.2222 4.04708i 0.641532 0.231356i
\(307\) 5.61084i 0.320228i −0.987099 0.160114i \(-0.948814\pi\)
0.987099 0.160114i \(-0.0511861\pi\)
\(308\) 1.26545 0.701529i 0.0721058 0.0399733i
\(309\) 60.8881i 3.46380i
\(310\) 4.26961 + 11.8393i 0.242498 + 0.672426i
\(311\) −11.0480 + 19.1357i −0.626475 + 1.08509i 0.361778 + 0.932264i \(0.382170\pi\)
−0.988254 + 0.152823i \(0.951164\pi\)
\(312\) −11.6924 20.6724i −0.661950 1.17034i
\(313\) −0.223117 0.386451i −0.0126113 0.0218435i 0.859651 0.510882i \(-0.170681\pi\)
−0.872262 + 0.489038i \(0.837348\pi\)
\(314\) 15.0067 + 2.69179i 0.846877 + 0.151906i
\(315\) −18.2097 3.42728i −1.02600 0.193105i
\(316\) −9.82481 3.64177i −0.552689 0.204866i
\(317\) 19.5478 11.2859i 1.09791 0.633881i 0.162242 0.986751i \(-0.448127\pi\)
0.935672 + 0.352870i \(0.114794\pi\)
\(318\) −16.0357 13.5364i −0.899235 0.759083i
\(319\) 0.480931 0.832996i 0.0269269 0.0466388i
\(320\) −6.85627 4.12208i −0.383277 0.230431i
\(321\) 37.9690 2.11922
\(322\) −16.1753 6.15354i −0.901417 0.342924i
\(323\) 8.29556i 0.461578i
\(324\) 6.39040 + 37.5363i 0.355022 + 2.08535i
\(325\) 2.29918 + 1.32743i 0.127536 + 0.0736327i
\(326\) 17.2821 20.4729i 0.957165 1.13389i
\(327\) 10.1451 + 17.5718i 0.561025 + 0.971724i
\(328\) 15.5787 26.4396i 0.860190 1.45988i
\(329\) 13.3606 + 11.4753i 0.736593 + 0.632655i
\(330\) 1.20385 + 0.215937i 0.0662698 + 0.0118870i
\(331\) −1.32609 + 0.765620i −0.0728887 + 0.0420823i −0.536001 0.844217i \(-0.680066\pi\)
0.463113 + 0.886299i \(0.346733\pi\)
\(332\) 0.925724 + 1.11656i 0.0508057 + 0.0612790i
\(333\) 17.3652 + 10.0258i 0.951607 + 0.549410i
\(334\) 23.5083 8.47782i 1.28632 0.463885i
\(335\) −7.97073 −0.435488
\(336\) −12.1782 + 31.1782i −0.664374 + 1.70091i
\(337\) −18.4289 −1.00389 −0.501944 0.864900i \(-0.667382\pi\)
−0.501944 + 0.864900i \(0.667382\pi\)
\(338\) −7.91783 + 2.85541i −0.430673 + 0.155314i
\(339\) −20.3850 11.7693i −1.10716 0.639221i
\(340\) 1.53753 + 1.85448i 0.0833843 + 0.100574i
\(341\) −2.10741 + 1.21671i −0.114123 + 0.0658888i
\(342\) −67.1424 12.0435i −3.63065 0.651238i
\(343\) −9.80797 + 15.7100i −0.529581 + 0.848260i
\(344\) −1.70764 1.00618i −0.0920700 0.0542494i
\(345\) −7.31451 12.6691i −0.393800 0.682082i
\(346\) 4.95801 5.87342i 0.266544 0.315757i
\(347\) −21.2169 12.2496i −1.13898 0.657591i −0.192803 0.981237i \(-0.561758\pi\)
−0.946178 + 0.323646i \(0.895091\pi\)
\(348\) 3.73449 + 21.9359i 0.200190 + 1.17589i
\(349\) 5.94545i 0.318252i 0.987258 + 0.159126i \(0.0508677\pi\)
−0.987258 + 0.159126i \(0.949132\pi\)
\(350\) −0.596404 3.69382i −0.0318791 0.197443i
\(351\) −33.6166 −1.79432
\(352\) 0.550431 1.44555i 0.0293381 0.0770480i
\(353\) −4.76477 + 8.25282i −0.253603 + 0.439253i −0.964515 0.264028i \(-0.914949\pi\)
0.710912 + 0.703281i \(0.248282\pi\)
\(354\) 45.0692 + 38.0448i 2.39540 + 2.02206i
\(355\) 1.32241 0.763493i 0.0701862 0.0405220i
\(356\) 13.3040 + 4.93141i 0.705111 + 0.261364i
\(357\) 6.56715 7.64607i 0.347570 0.404673i
\(358\) −16.1034 2.88850i −0.851091 0.152662i
\(359\) −18.0902 31.3332i −0.954766 1.65370i −0.734903 0.678173i \(-0.762772\pi\)
−0.219863 0.975531i \(-0.570561\pi\)
\(360\) −17.2420 + 9.75209i −0.908732 + 0.513981i
\(361\) 14.2171 24.6247i 0.748266 1.29603i
\(362\) −8.12247 22.5230i −0.426908 1.18378i
\(363\) 34.5546i 1.81365i
\(364\) −12.0420 7.23480i −0.631173 0.379207i
\(365\) 9.83687i 0.514885i
\(366\) 26.1049 9.41421i 1.36452 0.492089i
\(367\) −12.1410 + 21.0288i −0.633754 + 1.09769i 0.353024 + 0.935614i \(0.385154\pi\)
−0.986778 + 0.162080i \(0.948180\pi\)
\(368\) −17.4590 + 6.12207i −0.910111 + 0.319135i
\(369\) −37.9932 65.8061i −1.97785 3.42573i
\(370\) −0.714874 + 3.98542i −0.0371645 + 0.207192i
\(371\) −12.1986 2.29593i −0.633322 0.119199i
\(372\) 19.5658 52.7849i 1.01444 2.73677i
\(373\) 9.03928 5.21883i 0.468036 0.270221i −0.247381 0.968918i \(-0.579570\pi\)
0.715417 + 0.698698i \(0.246237\pi\)
\(374\) −0.300445 + 0.355917i −0.0155356 + 0.0184040i
\(375\) 1.58141 2.73909i 0.0816638 0.141446i
\(376\) 18.8275 + 0.166738i 0.970952 + 0.00859887i
\(377\) −9.33891 −0.480978
\(378\) 29.9262 + 36.7300i 1.53924 + 1.88919i
\(379\) 32.0202i 1.64477i 0.568934 + 0.822383i \(0.307356\pi\)
−0.568934 + 0.822383i \(0.692644\pi\)
\(380\) −2.31178 13.5791i −0.118592 0.696593i
\(381\) −10.9558 6.32531i −0.561280 0.324055i
\(382\) 4.91587 + 4.14969i 0.251518 + 0.212317i
\(383\) 4.02207 + 6.96643i 0.205518 + 0.355968i 0.950298 0.311343i \(-0.100779\pi\)
−0.744780 + 0.667311i \(0.767445\pi\)
\(384\) 11.5412 + 33.8710i 0.588960 + 1.72847i
\(385\) 0.682620 0.239598i 0.0347895 0.0122111i
\(386\) 0.570645 3.18134i 0.0290450 0.161926i
\(387\) −4.25020 + 2.45385i −0.216050 + 0.124736i
\(388\) 8.60849 7.13720i 0.437030 0.362336i
\(389\) −17.6302 10.1788i −0.893889 0.516087i −0.0186765 0.999826i \(-0.505945\pi\)
−0.875213 + 0.483738i \(0.839279\pi\)
\(390\) −4.02852 11.1708i −0.203992 0.565654i
\(391\) 5.57110 0.281743
\(392\) 2.81519 + 19.5978i 0.142189 + 0.989840i
\(393\) 20.2381 1.02087
\(394\) −3.21224 8.90729i −0.161830 0.448743i
\(395\) −4.53713 2.61951i −0.228288 0.131802i
\(396\) −2.44453 2.94845i −0.122842 0.148165i
\(397\) 5.17855 2.98984i 0.259904 0.150056i −0.364387 0.931248i \(-0.618721\pi\)
0.624291 + 0.781192i \(0.285388\pi\)
\(398\) 3.88192 21.6417i 0.194583 1.08480i
\(399\) −54.3803 + 19.0873i −2.72242 + 0.955563i
\(400\) −3.03361 2.60715i −0.151680 0.130358i
\(401\) 12.7840 + 22.1426i 0.638404 + 1.10575i 0.985783 + 0.168023i \(0.0537383\pi\)
−0.347379 + 0.937725i \(0.612928\pi\)
\(402\) 27.2435 + 22.9974i 1.35878 + 1.14701i
\(403\) 20.4613 + 11.8133i 1.01925 + 0.588464i
\(404\) 10.8817 1.85256i 0.541385 0.0921684i
\(405\) 19.0382i 0.946015i
\(406\) 8.31368 + 10.2038i 0.412601 + 0.506407i
\(407\) −0.782878 −0.0388058
\(408\) 0.0954218 10.7747i 0.00472408 0.533426i
\(409\) −11.4188 + 19.7779i −0.564622 + 0.977955i 0.432462 + 0.901652i \(0.357645\pi\)
−0.997085 + 0.0763026i \(0.975689\pi\)
\(410\) 9.89756 11.7250i 0.488806 0.579056i
\(411\) −16.6423 + 9.60845i −0.820906 + 0.473950i
\(412\) 36.1020 + 13.3819i 1.77862 + 0.659281i
\(413\) 34.2850 + 6.45284i 1.68706 + 0.317524i
\(414\) −8.08812 + 45.0912i −0.397509 + 2.21611i
\(415\) 0.362600 + 0.628042i 0.0177994 + 0.0308294i
\(416\) −14.8269 + 2.38931i −0.726948 + 0.117145i
\(417\) −29.6870 + 51.4193i −1.45378 + 2.51802i
\(418\) 2.50535 0.903508i 0.122541 0.0441920i
\(419\) 14.5529i 0.710958i −0.934684 0.355479i \(-0.884318\pi\)
0.934684 0.355479i \(-0.115682\pi\)
\(420\) −8.61906 + 14.3460i −0.420567 + 0.700015i
\(421\) 37.2849i 1.81715i −0.417718 0.908577i \(-0.637170\pi\)
0.417718 0.908577i \(-0.362830\pi\)
\(422\) 9.82524 + 27.2446i 0.478285 + 1.32625i
\(423\) 23.3103 40.3745i 1.13338 1.96308i
\(424\) −11.5503 + 6.53290i −0.560935 + 0.317266i
\(425\) 0.602241 + 1.04311i 0.0292130 + 0.0505984i
\(426\) −6.72278 1.20588i −0.325720 0.0584251i
\(427\) 10.6950 12.4521i 0.517568 0.602599i
\(428\) 8.34480 22.5127i 0.403361 1.08819i
\(429\) 1.98841 1.14801i 0.0960015 0.0554265i
\(430\) −0.757277 0.639250i −0.0365192 0.0308274i
\(431\) 3.98171 6.89653i 0.191792 0.332194i −0.754052 0.656815i \(-0.771903\pi\)
0.945844 + 0.324621i \(0.105237\pi\)
\(432\) 49.7723 + 9.38347i 2.39467 + 0.451463i
\(433\) −21.6823 −1.04198 −0.520991 0.853562i \(-0.674438\pi\)
−0.520991 + 0.853562i \(0.674438\pi\)
\(434\) −5.30763 32.8727i −0.254774 1.57794i
\(435\) 11.1257i 0.533439i
\(436\) 12.6484 2.15334i 0.605750 0.103126i
\(437\) −27.5877 15.9278i −1.31970 0.761930i
\(438\) −28.3817 + 33.6219i −1.35613 + 1.60652i
\(439\) −7.47786 12.9520i −0.356899 0.618167i 0.630542 0.776155i \(-0.282833\pi\)
−0.987441 + 0.157988i \(0.949499\pi\)
\(440\) 0.392616 0.666332i 0.0187172 0.0317661i
\(441\) 45.6699 + 17.8225i 2.17476 + 0.848693i
\(442\) 4.45124 + 0.798430i 0.211724 + 0.0379774i
\(443\) 22.3316 12.8932i 1.06101 0.612573i 0.135297 0.990805i \(-0.456801\pi\)
0.925711 + 0.378232i \(0.123468\pi\)
\(444\) 13.9423 11.5594i 0.661671 0.548584i
\(445\) 6.14383 + 3.54714i 0.291245 + 0.168151i
\(446\) −13.5561 + 4.88875i −0.641900 + 0.231489i
\(447\) 0.951453 0.0450022
\(448\) 15.8098 + 14.0731i 0.746942 + 0.664890i
\(449\) 20.7866 0.980981 0.490491 0.871446i \(-0.336818\pi\)
0.490491 + 0.871446i \(0.336818\pi\)
\(450\) −9.31705 + 3.36002i −0.439210 + 0.158393i
\(451\) 2.56928 + 1.48337i 0.120983 + 0.0698494i
\(452\) −11.4585 + 9.50012i −0.538963 + 0.446848i
\(453\) 12.0130 6.93569i 0.564419 0.325867i
\(454\) 10.0673 + 1.80580i 0.472484 + 0.0847505i
\(455\) −5.32849 4.57660i −0.249804 0.214554i
\(456\) −31.2773 + 53.0827i −1.46470 + 2.48583i
\(457\) −14.9487 25.8919i −0.699271 1.21117i −0.968720 0.248158i \(-0.920175\pi\)
0.269449 0.963015i \(-0.413158\pi\)
\(458\) 11.7142 13.8770i 0.547368 0.648431i
\(459\) −13.2082 7.62575i −0.616505 0.355940i
\(460\) −9.11939 + 1.55254i −0.425194 + 0.0723875i
\(461\) 7.45183i 0.347066i 0.984828 + 0.173533i \(0.0555184\pi\)
−0.984828 + 0.173533i \(0.944482\pi\)
\(462\) −3.02446 1.15059i −0.140710 0.0535301i
\(463\) 23.5785 1.09578 0.547892 0.836549i \(-0.315430\pi\)
0.547892 + 0.836549i \(0.315430\pi\)
\(464\) 13.8271 + 2.60679i 0.641905 + 0.121017i
\(465\) 14.0736 24.3762i 0.652648 1.13042i
\(466\) 8.56267 + 7.22812i 0.396658 + 0.334836i
\(467\) 9.13230 5.27253i 0.422592 0.243984i −0.273594 0.961845i \(-0.588212\pi\)
0.696186 + 0.717862i \(0.254879\pi\)
\(468\) −12.9246 + 34.8682i −0.597441 + 1.61178i
\(469\) 20.7247 + 3.90063i 0.956978 + 0.180114i
\(470\) 9.26621 + 1.66210i 0.427418 + 0.0766670i
\(471\) −17.0487 29.5293i −0.785564 1.36064i
\(472\) 32.4630 18.3611i 1.49423 0.845139i
\(473\) 0.0958062 0.165941i 0.00440517 0.00762998i
\(474\) 7.94976 + 22.0440i 0.365144 + 1.01252i
\(475\) 6.88724i 0.316008i
\(476\) −3.09021 5.57426i −0.141639 0.255496i
\(477\) 32.8575i 1.50444i
\(478\) −17.1135 + 6.17165i −0.782752 + 0.282284i
\(479\) 11.3831 19.7161i 0.520108 0.900854i −0.479619 0.877477i \(-0.659225\pi\)
0.999727 0.0233766i \(-0.00744168\pi\)
\(480\) 2.84646 + 17.6638i 0.129922 + 0.806237i
\(481\) 3.80056 + 6.58277i 0.173291 + 0.300148i
\(482\) −1.45290 + 8.09994i −0.0661780 + 0.368942i
\(483\) 12.8186 + 36.5204i 0.583266 + 1.66174i
\(484\) −20.4882 7.59439i −0.931284 0.345200i
\(485\) 4.84211 2.79560i 0.219869 0.126941i
\(486\) 20.2768 24.0206i 0.919774 1.08960i
\(487\) 6.73215 11.6604i 0.305063 0.528384i −0.672212 0.740358i \(-0.734656\pi\)
0.977275 + 0.211974i \(0.0679892\pi\)
\(488\) 0.155400 17.5472i 0.00703465 0.794326i
\(489\) −59.9191 −2.70964
\(490\) −0.256931 + 9.89616i −0.0116069 + 0.447063i
\(491\) 19.5324i 0.881485i 0.897634 + 0.440743i \(0.145285\pi\)
−0.897634 + 0.440743i \(0.854715\pi\)
\(492\) −67.6587 + 11.5186i −3.05029 + 0.519299i
\(493\) −3.66932 2.11848i −0.165258 0.0954116i
\(494\) −19.7596 16.6799i −0.889025 0.750464i
\(495\) −0.957507 1.65845i −0.0430367 0.0745418i
\(496\) −26.9972 23.2021i −1.21221 1.04180i
\(497\) −3.81202 + 1.33801i −0.170993 + 0.0600180i
\(498\) 0.572700 3.19280i 0.0256633 0.143073i
\(499\) −22.1028 + 12.7610i −0.989456 + 0.571263i −0.905112 0.425174i \(-0.860213\pi\)
−0.0843444 + 0.996437i \(0.526880\pi\)
\(500\) −1.27651 1.53965i −0.0570872 0.0688553i
\(501\) −48.4018 27.9448i −2.16243 1.24848i
\(502\) −8.96188 24.8506i −0.399988 1.10913i
\(503\) −0.384278 −0.0171341 −0.00856706 0.999963i \(-0.502727\pi\)
−0.00856706 + 0.999963i \(0.502727\pi\)
\(504\) 49.6032 16.9187i 2.20950 0.753620i
\(505\) 5.51913 0.245598
\(506\) −0.606774 1.68253i −0.0269744 0.0747978i
\(507\) 16.3022 + 9.41209i 0.724007 + 0.418006i
\(508\) −6.15827 + 5.10575i −0.273229 + 0.226531i
\(509\) 6.31154 3.64397i 0.279754 0.161516i −0.353558 0.935413i \(-0.615028\pi\)
0.633312 + 0.773897i \(0.281695\pi\)
\(510\) 0.951196 5.30291i 0.0421196 0.234817i
\(511\) −4.81386 + 25.5768i −0.212953 + 1.13145i
\(512\) 22.6194 + 0.601087i 0.999647 + 0.0265645i
\(513\) 43.6041 + 75.5245i 1.92517 + 3.33449i
\(514\) −1.25069 1.05576i −0.0551656 0.0465676i
\(515\) 16.6720 + 9.62558i 0.734656 + 0.424154i
\(516\) 0.743948 + 4.36985i 0.0327505 + 0.192372i
\(517\) 1.82021i 0.0800529i
\(518\) 3.80908 10.0127i 0.167362 0.439931i
\(519\) −17.1900 −0.754558
\(520\) −7.50879 0.0664988i −0.329282 0.00291617i
\(521\) −7.63990 + 13.2327i −0.334710 + 0.579735i −0.983429 0.181293i \(-0.941972\pi\)
0.648719 + 0.761028i \(0.275305\pi\)
\(522\) 22.4736 26.6230i 0.983644 1.16526i
\(523\) −12.0928 + 6.98176i −0.528780 + 0.305291i −0.740519 0.672035i \(-0.765420\pi\)
0.211740 + 0.977326i \(0.432087\pi\)
\(524\) 4.44791 11.9996i 0.194308 0.524206i
\(525\) −5.45226 + 6.34801i −0.237956 + 0.277050i
\(526\) −2.27524 + 12.6845i −0.0992053 + 0.553069i
\(527\) 5.35958 + 9.28306i 0.233467 + 0.404377i
\(528\) −3.26446 + 1.14470i −0.142068 + 0.0498167i
\(529\) 0.803287 1.39133i 0.0349255 0.0604928i
\(530\) −6.24147 + 2.25087i −0.271112 + 0.0977714i
\(531\) 92.3481i 4.00757i
\(532\) −0.634323 + 36.4383i −0.0275014 + 1.57980i
\(533\) 28.8048i 1.24767i
\(534\) −10.7650 29.8503i −0.465845 1.29175i
\(535\) 6.00238 10.3964i 0.259506 0.449477i
\(536\) 19.6233 11.0990i 0.847597 0.479403i
\(537\) 18.2947 + 31.6873i 0.789473 + 1.36741i
\(538\) −34.7723 6.23719i −1.49914 0.268904i
\(539\) −1.89213 + 0.288926i −0.0814999 + 0.0124449i
\(540\) 23.7458 + 8.80186i 1.02185 + 0.378772i
\(541\) −18.8517 + 10.8841i −0.810499 + 0.467942i −0.847129 0.531387i \(-0.821671\pi\)
0.0366299 + 0.999329i \(0.488338\pi\)
\(542\) 3.00458 + 2.53630i 0.129058 + 0.108943i
\(543\) −26.7735 + 46.3731i −1.14896 + 1.99006i
\(544\) −6.36758 2.42463i −0.273008 0.103955i
\(545\) 6.41521 0.274797
\(546\) 5.00793 + 31.0165i 0.214320 + 1.32739i
\(547\) 12.4285i 0.531406i −0.964055 0.265703i \(-0.914396\pi\)
0.964055 0.265703i \(-0.0856041\pi\)
\(548\) 2.03944 + 11.9794i 0.0871204 + 0.511733i
\(549\) −37.6292 21.7252i −1.60597 0.927209i
\(550\) 0.249439 0.295494i 0.0106361 0.0125999i
\(551\) 12.1135 + 20.9812i 0.516052 + 0.893828i
\(552\) 35.6490 + 21.0051i 1.51732 + 0.894036i
\(553\) 10.5151 + 9.03132i 0.447146 + 0.384051i
\(554\) −4.52732 0.812076i −0.192347 0.0345018i
\(555\) 7.84227 4.52773i 0.332886 0.192192i
\(556\) 23.9631 + 28.9030i 1.01626 + 1.22576i
\(557\) −26.2840 15.1751i −1.11369 0.642988i −0.173906 0.984762i \(-0.555639\pi\)
−0.939782 + 0.341774i \(0.888972\pi\)
\(558\) −82.9161 + 29.9021i −3.51012 + 1.26586i
\(559\) −1.86040 −0.0786867
\(560\) 6.61182 + 8.26341i 0.279400 + 0.349193i
\(561\) 1.04168 0.0439798
\(562\) 23.8220 8.59094i 1.00487 0.362387i
\(563\) 0.140134 + 0.0809065i 0.00590595 + 0.00340980i 0.502950 0.864315i \(-0.332248\pi\)
−0.497044 + 0.867725i \(0.665581\pi\)
\(564\) −26.8759 32.4162i −1.13168 1.36497i
\(565\) −6.44520 + 3.72114i −0.271152 + 0.156549i
\(566\) 5.28136 + 0.947329i 0.221992 + 0.0398192i
\(567\) 9.31670 49.5012i 0.391265 2.07885i
\(568\) −2.19252 + 3.72107i −0.0919962 + 0.156132i
\(569\) 16.3191 + 28.2655i 0.684132 + 1.18495i 0.973709 + 0.227796i \(0.0731519\pi\)
−0.289577 + 0.957155i \(0.593515\pi\)
\(570\) −19.8713 + 23.5402i −0.832318 + 0.985992i
\(571\) 35.8127 + 20.6765i 1.49871 + 0.865283i 0.999999 0.00148271i \(-0.000471961\pi\)
0.498715 + 0.866766i \(0.333805\pi\)
\(572\) −0.243670 1.43129i −0.0101884 0.0598451i
\(573\) 14.3875i 0.601047i
\(574\) −31.4725 + 25.6426i −1.31364 + 1.07030i
\(575\) −4.62530 −0.192888
\(576\) 28.8688 48.0177i 1.20287 2.00074i
\(577\) 13.5534 23.4752i 0.564236 0.977285i −0.432884 0.901449i \(-0.642504\pi\)
0.997120 0.0758358i \(-0.0241625\pi\)
\(578\) −16.8035 14.1845i −0.698932 0.589998i
\(579\) −6.26005 + 3.61424i −0.260159 + 0.150203i
\(580\) 6.59672 + 2.44521i 0.273914 + 0.101532i
\(581\) −0.635453 1.81042i −0.0263630 0.0751088i
\(582\) −24.6160 4.41544i −1.02037 0.183026i
\(583\) −0.641431 1.11099i −0.0265654 0.0460126i
\(584\) 13.6975 + 24.2176i 0.566807 + 1.00213i
\(585\) −9.29663 + 16.1022i −0.384368 + 0.665746i
\(586\) −8.23619 22.8383i −0.340234 0.943441i
\(587\) 4.86305i 0.200719i 0.994951 + 0.100360i \(0.0319994\pi\)
−0.994951 + 0.100360i \(0.968001\pi\)
\(588\) 29.4309 33.0832i 1.21371 1.36433i
\(589\) 61.2922i 2.52550i
\(590\) 17.5420 6.32620i 0.722194 0.260445i
\(591\) −10.5883 + 18.3394i −0.435544 + 0.754384i
\(592\) −3.78960 10.8072i −0.155752 0.444174i
\(593\) −11.1668 19.3414i −0.458564 0.794256i 0.540322 0.841459i \(-0.318303\pi\)
−0.998885 + 0.0472030i \(0.984969\pi\)
\(594\) −0.864499 + 4.81958i −0.0354708 + 0.197750i
\(595\) −1.05542 3.00692i −0.0432680 0.123272i
\(596\) 0.209110 0.564139i 0.00856547 0.0231080i
\(597\) −42.5852 + 24.5866i −1.74290 + 1.00626i
\(598\) −11.2018 + 13.2700i −0.458076 + 0.542653i
\(599\) 19.4521 33.6920i 0.794790 1.37662i −0.128183 0.991751i \(-0.540914\pi\)
0.922973 0.384866i \(-0.125752\pi\)
\(600\) −0.0792222 + 8.94547i −0.00323423 + 0.365197i
\(601\) 0.338289 0.0137991 0.00689954 0.999976i \(-0.497804\pi\)
0.00689954 + 0.999976i \(0.497804\pi\)
\(602\) 1.65617 + 2.03270i 0.0675003 + 0.0828467i
\(603\) 55.8228i 2.27328i
\(604\) −1.47213 8.64709i −0.0599002 0.351845i
\(605\) −9.46153 5.46262i −0.384666 0.222087i
\(606\) −18.8641 15.9240i −0.766302 0.646868i
\(607\) 1.32793 + 2.30005i 0.0538992 + 0.0933562i 0.891716 0.452595i \(-0.149502\pi\)
−0.837817 + 0.545951i \(0.816168\pi\)
\(608\) 24.5999 + 30.2116i 0.997656 + 1.22524i
\(609\) 5.44460 28.9281i 0.220626 1.17222i
\(610\) 1.54908 8.63613i 0.0627205 0.349667i
\(611\) 15.3051 8.83641i 0.619179 0.357483i
\(612\) −12.9878 + 10.7681i −0.525002 + 0.435273i
\(613\) −8.29725 4.79042i −0.335123 0.193483i 0.322990 0.946402i \(-0.395312\pi\)
−0.658113 + 0.752919i \(0.728645\pi\)
\(614\) 2.69188 + 7.46437i 0.108635 + 0.301237i
\(615\) −34.3161 −1.38376
\(616\) −1.34692 + 1.54040i −0.0542690 + 0.0620643i
\(617\) −3.97286 −0.159941 −0.0799707 0.996797i \(-0.525483\pi\)
−0.0799707 + 0.996797i \(0.525483\pi\)
\(618\) −29.2119 81.0024i −1.17508 3.25839i
\(619\) 6.57823 + 3.79794i 0.264401 + 0.152652i 0.626341 0.779549i \(-0.284552\pi\)
−0.361939 + 0.932202i \(0.617885\pi\)
\(620\) −11.3601 13.7020i −0.456234 0.550284i
\(621\) 50.7204 29.2834i 2.03534 1.17510i
\(622\) 5.51706 30.7576i 0.221214 1.23327i
\(623\) −14.2387 12.2295i −0.570462 0.489965i
\(624\) 25.4728 + 21.8919i 1.01973 + 0.876378i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 0.482229 + 0.407070i 0.0192737 + 0.0162698i
\(627\) −5.15834 2.97817i −0.206004 0.118937i
\(628\) −21.2556 + 3.61867i −0.848189 + 0.144401i
\(629\) 3.44855i 0.137503i
\(630\) 25.8696 4.17690i 1.03067 0.166412i
\(631\) −35.2003 −1.40130 −0.700651 0.713505i \(-0.747107\pi\)
−0.700651 + 0.713505i \(0.747107\pi\)
\(632\) 14.8176 + 0.131227i 0.589413 + 0.00521991i
\(633\) 32.3862 56.0946i 1.28724 2.22956i
\(634\) −20.5908 + 24.3926i −0.817765 + 0.968752i
\(635\) −3.46391 + 1.99989i −0.137461 + 0.0793633i
\(636\) 27.8273 + 10.3148i 1.10342 + 0.409007i
\(637\) 11.6150 + 14.5072i 0.460202 + 0.574797i
\(638\) −0.240163 + 1.33891i −0.00950815 + 0.0530079i
\(639\) 5.34710 + 9.26145i 0.211528 + 0.366377i
\(640\) 11.0989 + 2.19440i 0.438721 + 0.0867413i
\(641\) −7.91815 + 13.7146i −0.312748 + 0.541696i −0.978956 0.204070i \(-0.934583\pi\)
0.666208 + 0.745766i \(0.267916\pi\)
\(642\) −50.5120 + 18.2162i −1.99355 + 0.718935i
\(643\) 37.6705i 1.48558i 0.669524 + 0.742790i \(0.266498\pi\)
−0.669524 + 0.742790i \(0.733502\pi\)
\(644\) 24.4711 + 0.425996i 0.964296 + 0.0167866i
\(645\) 2.21636i 0.0872691i
\(646\) −3.97992 11.0360i −0.156588 0.434205i
\(647\) 18.9224 32.7745i 0.743916 1.28850i −0.206783 0.978387i \(-0.566300\pi\)
0.950699 0.310114i \(-0.100367\pi\)
\(648\) −26.5100 46.8705i −1.04141 1.84125i
\(649\) 1.80278 + 3.12251i 0.0707654 + 0.122569i
\(650\) −3.69556 0.662882i −0.144952 0.0260004i
\(651\) −48.5217 + 56.4934i −1.90172 + 2.21415i
\(652\) −13.1690 + 35.5274i −0.515737 + 1.39136i
\(653\) 2.20680 1.27409i 0.0863586 0.0498592i −0.456199 0.889878i \(-0.650789\pi\)
0.542557 + 0.840019i \(0.317456\pi\)
\(654\) −21.9268 18.5094i −0.857408 0.723774i
\(655\) 3.19936 5.54146i 0.125009 0.216523i
\(656\) −8.04033 + 42.6480i −0.313922 + 1.66512i
\(657\) 68.8922 2.68774
\(658\) −23.2797 8.85623i −0.907537 0.345252i
\(659\) 0.744257i 0.0289921i 0.999895 + 0.0144961i \(0.00461440\pi\)
−0.999895 + 0.0144961i \(0.995386\pi\)
\(660\) −1.70514 + 0.290293i −0.0663724 + 0.0112996i
\(661\) 31.8049 + 18.3626i 1.23707 + 0.714220i 0.968493 0.249039i \(-0.0801147\pi\)
0.268573 + 0.963259i \(0.413448\pi\)
\(662\) 1.39685 1.65475i 0.0542901 0.0643139i
\(663\) −5.05695 8.75889i −0.196395 0.340167i
\(664\) −1.76722 1.04128i −0.0685814 0.0404095i
\(665\) −3.37040 + 17.9075i −0.130699 + 0.694424i
\(666\) −27.9118 5.00660i −1.08156 0.194002i
\(667\) 14.0904 8.13512i 0.545584 0.314993i
\(668\) −27.2069 + 22.5569i −1.05267 + 0.872752i
\(669\) 27.9110 + 16.1144i 1.07910 + 0.623020i
\(670\) 10.6038 3.82407i 0.409662 0.147737i
\(671\) 1.69644 0.0654904
\(672\) 1.24303 47.3205i 0.0479509 1.82543i
\(673\) 16.2841 0.627705 0.313853 0.949472i \(-0.398380\pi\)
0.313853 + 0.949472i \(0.398380\pi\)
\(674\) 24.5169 8.84155i 0.944355 0.340564i
\(675\) 10.9659 + 6.33114i 0.422076 + 0.243686i
\(676\) 9.16354 7.59739i 0.352444 0.292207i
\(677\) −9.38022 + 5.41567i −0.360511 + 0.208141i −0.669305 0.742988i \(-0.733408\pi\)
0.308794 + 0.951129i \(0.400075\pi\)
\(678\) 32.7657 + 5.87726i 1.25836 + 0.225715i
\(679\) −13.9581 + 4.89925i −0.535661 + 0.188016i
\(680\) −2.93517 1.72946i −0.112559 0.0663216i
\(681\) −11.4373 19.8099i −0.438277 0.759117i
\(682\) 2.21985 2.62971i 0.0850026 0.100697i
\(683\) −7.94155 4.58506i −0.303875 0.175442i 0.340307 0.940314i \(-0.389469\pi\)
−0.644182 + 0.764872i \(0.722802\pi\)
\(684\) 95.1009 16.1905i 3.63627 0.619060i
\(685\) 6.07587i 0.232147i
\(686\) 5.51092 25.6053i 0.210408 0.977614i
\(687\) −40.6146 −1.54954
\(688\) 2.75449 + 0.519298i 0.105014 + 0.0197981i
\(689\) −6.22779 + 10.7868i −0.237260 + 0.410946i
\(690\) 15.8090 + 13.3451i 0.601840 + 0.508039i
\(691\) −13.6591 + 7.88611i −0.519618 + 0.300002i −0.736778 0.676134i \(-0.763654\pi\)
0.217160 + 0.976136i \(0.430321\pi\)
\(692\) −3.77801 + 10.1924i −0.143619 + 0.387456i
\(693\) 1.67802 + 4.78071i 0.0637427 + 0.181604i
\(694\) 34.1027 + 6.11708i 1.29452 + 0.232201i
\(695\) 9.38621 + 16.2574i 0.356039 + 0.616678i
\(696\) −15.4922 27.3907i −0.587231 1.03824i
\(697\) 6.53421 11.3176i 0.247501 0.428684i
\(698\) −2.85241 7.90951i −0.107965 0.299379i
\(699\) 25.0608i 0.947886i
\(700\) 2.56559 + 4.62793i 0.0969701 + 0.174919i
\(701\) 12.1707i 0.459679i 0.973229 + 0.229840i \(0.0738202\pi\)
−0.973229 + 0.229840i \(0.926180\pi\)
\(702\) 44.7218 16.1281i 1.68792 0.608715i
\(703\) 9.85941 17.0770i 0.371855 0.644071i
\(704\) −0.0387425 + 2.18716i −0.00146016 + 0.0824317i
\(705\) −10.5271 18.2335i −0.396474 0.686713i
\(706\) 2.37939 13.2651i 0.0895495 0.499238i
\(707\) −14.3503 2.70089i −0.539698 0.101578i
\(708\) −78.2103 28.9903i −2.93932 1.08952i
\(709\) −5.42693 + 3.13324i −0.203813 + 0.117671i −0.598433 0.801173i \(-0.704210\pi\)
0.394620 + 0.918844i \(0.370876\pi\)
\(710\) −1.39297 + 1.65016i −0.0522771 + 0.0619292i
\(711\) 18.3457 31.7756i 0.688017 1.19168i
\(712\) −20.0649 0.177697i −0.751963 0.00665948i
\(713\) −41.1624 −1.54154
\(714\) −5.06828 + 13.3226i −0.189676 + 0.498586i
\(715\) 0.725940i 0.0271486i
\(716\) 22.8089 3.88312i 0.852410 0.145119i
\(717\) 35.2354 + 20.3432i 1.31589 + 0.759729i
\(718\) 39.0989 + 33.0050i 1.45916 + 1.23174i
\(719\) −5.16229 8.94135i −0.192521 0.333456i 0.753564 0.657374i \(-0.228333\pi\)
−0.946085 + 0.323918i \(0.895000\pi\)
\(720\) 18.2591 21.2458i 0.680477 0.791783i
\(721\) −38.6384 33.1862i −1.43897 1.23592i
\(722\) −7.09959 + 39.5802i −0.264219 + 1.47302i
\(723\) 15.9386 9.20213i 0.592762 0.342231i
\(724\) 21.6114 + 26.0665i 0.803182 + 0.968754i
\(725\) 3.04638 + 1.75883i 0.113140 + 0.0653213i
\(726\) 16.5781 + 45.9697i 0.615270 + 1.70609i
\(727\) −45.1357 −1.67399 −0.836995 0.547211i \(-0.815690\pi\)
−0.836995 + 0.547211i \(0.815690\pi\)
\(728\) 19.4911 + 3.84748i 0.722387 + 0.142597i
\(729\) −13.1876 −0.488430
\(730\) 4.71938 + 13.0865i 0.174672 + 0.484352i
\(731\) −0.730964 0.422023i −0.0270357 0.0156091i
\(732\) −30.2119 + 25.0484i −1.11667 + 0.925814i
\(733\) −30.5960 + 17.6646i −1.13009 + 0.652456i −0.943957 0.330069i \(-0.892928\pi\)
−0.186130 + 0.982525i \(0.559595\pi\)
\(734\) 6.06286 33.8004i 0.223784 1.24760i
\(735\) 17.2829 13.8373i 0.637490 0.510396i
\(736\) 20.2893 16.5207i 0.747875 0.608960i
\(737\) 1.08975 + 1.88750i 0.0401414 + 0.0695270i
\(738\) 82.1156 + 69.3173i 3.02272 + 2.55160i
\(739\) 23.9480 + 13.8264i 0.880941 + 0.508612i 0.870969 0.491339i \(-0.163492\pi\)
0.00997273 + 0.999950i \(0.496826\pi\)
\(740\) −0.961032 5.64497i −0.0353282 0.207513i
\(741\) 57.8313i 2.12449i
\(742\) 17.3299 2.79809i 0.636202 0.102721i
\(743\) 46.9888 1.72385 0.861927 0.507033i \(-0.169258\pi\)
0.861927 + 0.507033i \(0.169258\pi\)
\(744\) −0.705029 + 79.6092i −0.0258476 + 2.91862i
\(745\) 0.150412 0.260521i 0.00551067 0.00954475i
\(746\) −9.52158 + 11.2796i −0.348610 + 0.412975i
\(747\) −4.39848 + 2.53946i −0.160932 + 0.0929140i
\(748\) 0.228940 0.617637i 0.00837087 0.0225830i
\(749\) −20.6945 + 24.0944i −0.756160 + 0.880389i
\(750\) −0.789713 + 4.40265i −0.0288362 + 0.160762i
\(751\) 12.6951 + 21.9886i 0.463252 + 0.802376i 0.999121 0.0419256i \(-0.0133492\pi\)
−0.535869 + 0.844301i \(0.680016\pi\)
\(752\) −25.1271 + 8.81093i −0.916290 + 0.321301i
\(753\) −29.5404 + 51.1655i −1.07651 + 1.86457i
\(754\) 12.4240 4.48048i 0.452455 0.163169i
\(755\) 4.38576i 0.159614i
\(756\) −57.4340 34.5061i −2.08885 1.25498i
\(757\) 14.5663i 0.529421i −0.964328 0.264710i \(-0.914724\pi\)
0.964328 0.264710i \(-0.0852764\pi\)
\(758\) −15.3621 42.5980i −0.557978 1.54723i
\(759\) −2.00006 + 3.46421i −0.0725977 + 0.125743i
\(760\) 9.59025 + 16.9558i 0.347875 + 0.615052i
\(761\) 20.6064 + 35.6914i 0.746982 + 1.29381i 0.949263 + 0.314483i \(0.101831\pi\)
−0.202281 + 0.979327i \(0.564835\pi\)
\(762\) 17.6096 + 3.15868i 0.637929 + 0.114427i
\(763\) −16.6802 3.13941i −0.603863 0.113654i
\(764\) −8.53069 3.16208i −0.308630 0.114400i
\(765\) −7.30541 + 4.21778i −0.264128 + 0.152494i
\(766\) −8.69299 7.33813i −0.314091 0.265137i
\(767\) 17.5036 30.3171i 0.632018 1.09469i
\(768\) −31.6039 39.5232i −1.14041 1.42617i
\(769\) 12.7467 0.459658 0.229829 0.973231i \(-0.426183\pi\)
0.229829 + 0.973231i \(0.426183\pi\)
\(770\) −0.793172 + 0.646246i −0.0285839 + 0.0232891i
\(771\) 3.66046i 0.131828i
\(772\) 0.767139 + 4.50607i 0.0276099 + 0.162177i
\(773\) 20.4289 + 11.7946i 0.734776 + 0.424223i 0.820167 0.572125i \(-0.193881\pi\)
−0.0853910 + 0.996348i \(0.527214\pi\)
\(774\) 4.47697 5.30357i 0.160921 0.190633i
\(775\) −4.44969 7.70709i −0.159838 0.276847i
\(776\) −8.02811 + 13.6250i −0.288192 + 0.489109i
\(777\) −22.6064 + 7.93480i −0.811000 + 0.284659i
\(778\) 28.3378 + 5.08302i 1.01596 + 0.182235i
\(779\) −64.7140 + 37.3626i −2.31862 + 1.33866i
\(780\) 10.7187 + 12.9283i 0.383790 + 0.462906i
\(781\) −0.361596 0.208768i −0.0129389 0.00747030i
\(782\) −7.41150 + 2.67281i −0.265035 + 0.0955797i
\(783\) −44.5416 −1.59179
\(784\) −13.1475 24.7213i −0.469554 0.882904i
\(785\) −10.7807 −0.384780
\(786\) −26.9237 + 9.70950i −0.960335 + 0.346326i
\(787\) −24.2666 14.0104i −0.865012 0.499415i 0.000675231 1.00000i \(-0.499785\pi\)
−0.865688 + 0.500585i \(0.833118\pi\)
\(788\) 8.54680 + 10.3087i 0.304467 + 0.367231i
\(789\) 24.9597 14.4105i 0.888590 0.513027i
\(790\) 7.29271 + 1.30811i 0.259463 + 0.0465405i
\(791\) 18.5792 6.52125i 0.660599 0.231869i
\(792\) 4.66664 + 2.74967i 0.165822 + 0.0977054i
\(793\) −8.23556 14.2644i −0.292453 0.506544i
\(794\) −5.45486 + 6.46201i −0.193586 + 0.229328i
\(795\) 12.8507 + 7.41937i 0.455768 + 0.263138i
\(796\) 5.21861 + 30.6534i 0.184969 + 1.08648i
\(797\) 42.5656i 1.50775i −0.657018 0.753875i \(-0.728183\pi\)
0.657018 0.753875i \(-0.271817\pi\)
\(798\) 63.1872 51.4825i 2.23680 1.82246i
\(799\) 8.01797 0.283655
\(800\) 5.28657 + 2.01300i 0.186908 + 0.0711704i
\(801\) −24.8423 + 43.0281i −0.877760 + 1.52032i
\(802\) −27.6304 23.3240i −0.975664 0.823600i
\(803\) −2.32941 + 1.34489i −0.0822031 + 0.0474600i
\(804\) −47.2768 17.5241i −1.66732 0.618028i
\(805\) 12.0262 + 2.26348i 0.423870 + 0.0797772i
\(806\) −32.8883 5.89924i −1.15844 0.207792i
\(807\) 39.5039 + 68.4228i 1.39060 + 2.40860i
\(808\) −13.5876 + 7.68520i −0.478012 + 0.270364i
\(809\) 23.1407 40.0808i 0.813582 1.40917i −0.0967591 0.995308i \(-0.530848\pi\)
0.910341 0.413858i \(-0.135819\pi\)
\(810\) −9.13385 25.3274i −0.320931 0.889915i
\(811\) 12.9825i 0.455876i −0.973676 0.227938i \(-0.926802\pi\)
0.973676 0.227938i \(-0.0731983\pi\)
\(812\) −15.9555 9.58602i −0.559929 0.336403i
\(813\) 8.79366i 0.308407i
\(814\) 1.04150 0.375597i 0.0365046 0.0131647i
\(815\) −9.47240 + 16.4067i −0.331804 + 0.574701i
\(816\) 5.04236 + 14.3798i 0.176518 + 0.503395i
\(817\) 2.41313 + 4.17966i 0.0844247 + 0.146228i
\(818\) 5.70221 31.7898i 0.199373 1.11151i
\(819\) 32.0521 37.3179i 1.11999 1.30399i
\(820\) −7.54197 + 20.3468i −0.263377 + 0.710541i
\(821\) 23.2869 13.4447i 0.812718 0.469223i −0.0351807 0.999381i \(-0.511201\pi\)
0.847899 + 0.530158i \(0.177867\pi\)
\(822\) 17.5303 20.7670i 0.611439 0.724332i
\(823\) −7.16646 + 12.4127i −0.249807 + 0.432679i −0.963472 0.267808i \(-0.913701\pi\)
0.713665 + 0.700487i \(0.247034\pi\)
\(824\) −54.4484 0.482202i −1.89680 0.0167983i
\(825\) −0.864836 −0.0301097
\(826\) −48.7069 + 7.86421i −1.69473 + 0.273631i
\(827\) 50.9034i 1.77009i 0.465509 + 0.885043i \(0.345871\pi\)
−0.465509 + 0.885043i \(0.654129\pi\)
\(828\) −10.8732 63.8674i −0.377868 2.21955i
\(829\) −41.7431 24.1004i −1.44980 0.837041i −0.451329 0.892358i \(-0.649050\pi\)
−0.998469 + 0.0553167i \(0.982383\pi\)
\(830\) −0.783697 0.661552i −0.0272025 0.0229628i
\(831\) 5.14337 + 8.90859i 0.178422 + 0.309035i
\(832\) 18.5786 10.2920i 0.644098 0.356812i
\(833\) 1.27271 + 8.33477i 0.0440967 + 0.288783i
\(834\) 14.8248 82.6484i 0.513342 2.86188i
\(835\) −15.3034 + 8.83539i −0.529594 + 0.305761i
\(836\) −2.89952 + 2.40396i −0.100282 + 0.0831427i
\(837\) 97.5894 + 56.3433i 3.37318 + 1.94751i
\(838\) 6.98199 + 19.3605i 0.241189 + 0.668797i
\(839\) −54.1827 −1.87060 −0.935298 0.353862i \(-0.884868\pi\)
−0.935298 + 0.353862i \(0.884868\pi\)
\(840\) 4.58362 23.2204i 0.158150 0.801178i
\(841\) 16.6261 0.573313
\(842\) 17.8880 + 49.6019i 0.616460 + 1.70939i
\(843\) −49.0477 28.3177i −1.68929 0.975314i
\(844\) −26.1420 31.5310i −0.899844 1.08534i
\(845\) 5.15432 2.97585i 0.177314 0.102372i
\(846\) −11.6405 + 64.8956i −0.400208 + 2.23116i
\(847\) 21.9277 + 18.8335i 0.753444 + 0.647128i
\(848\) 12.2317 14.2325i 0.420039 0.488745i
\(849\) −6.00002 10.3923i −0.205920 0.356664i
\(850\) −1.30164 1.09877i −0.0446459 0.0376875i
\(851\) −11.4685 6.62134i −0.393135 0.226977i
\(852\) 9.52217 1.62111i 0.326224 0.0555383i
\(853\) 0.0422448i 0.00144644i −1.00000 0.000723218i \(-0.999770\pi\)
1.00000 0.000723218i \(-0.000230207\pi\)
\(854\) −8.25402 + 21.6967i −0.282447 + 0.742447i
\(855\) 48.2346 1.64959
\(856\) −0.300694 + 33.9533i −0.0102775 + 1.16050i
\(857\) 20.6883 35.8332i 0.706700 1.22404i −0.259375 0.965777i \(-0.583516\pi\)
0.966075 0.258263i \(-0.0831502\pi\)
\(858\) −2.09451 + 2.48122i −0.0715053 + 0.0847076i
\(859\) 31.7797 18.3480i 1.08431 0.626026i 0.152254 0.988341i \(-0.451347\pi\)
0.932056 + 0.362315i \(0.118014\pi\)
\(860\) 1.31413 + 0.487110i 0.0448115 + 0.0166103i
\(861\) 89.2252 + 16.7932i 3.04079 + 0.572312i
\(862\) −1.98835 + 11.0851i −0.0677236 + 0.377559i
\(863\) 4.47671 + 7.75389i 0.152389 + 0.263945i 0.932105 0.362188i \(-0.117970\pi\)
−0.779716 + 0.626133i \(0.784637\pi\)
\(864\) −70.7164 + 11.3957i −2.40582 + 0.387690i
\(865\) −2.71751 + 4.70687i −0.0923981 + 0.160038i
\(866\) 28.8449 10.4024i 0.980191 0.353487i
\(867\) 49.1795i 1.67022i
\(868\) 22.8322 + 41.1858i 0.774974 + 1.39794i
\(869\) 1.43255i 0.0485958i
\(870\) −5.33774 14.8011i −0.180966 0.501805i
\(871\) 10.5806 18.3261i 0.358510 0.620958i
\(872\) −15.7937 + 8.93296i −0.534843 + 0.302508i
\(873\) 19.5789 + 33.9116i 0.662644 + 1.14773i
\(874\) 44.3429 + 7.95389i 1.49992 + 0.269044i
\(875\) 0.876244 + 2.49644i 0.0296224 + 0.0843950i
\(876\) 21.6269 58.3454i 0.730706 1.97131i
\(877\) 18.6552 10.7706i 0.629940 0.363696i −0.150789 0.988566i \(-0.548181\pi\)
0.780729 + 0.624870i \(0.214848\pi\)
\(878\) 16.1621 + 13.6431i 0.545444 + 0.460432i
\(879\) −27.1484 + 47.0223i −0.915691 + 1.58602i
\(880\) −0.202633 + 1.07482i −0.00683076 + 0.0362321i
\(881\) −5.82482 −0.196243 −0.0981215 0.995174i \(-0.531283\pi\)
−0.0981215 + 0.995174i \(0.531283\pi\)
\(882\) −69.3075 1.79941i −2.33370 0.0605892i
\(883\) 0.979016i 0.0329465i 0.999864 + 0.0164732i \(0.00524384\pi\)
−0.999864 + 0.0164732i \(0.994756\pi\)
\(884\) −6.30476 + 1.07336i −0.212052 + 0.0361010i
\(885\) −36.1177 20.8526i −1.21408 0.700952i
\(886\) −23.5232 + 27.8663i −0.790276 + 0.936188i
\(887\) −18.1254 31.3941i −0.608591 1.05411i −0.991473 0.130313i \(-0.958402\pi\)
0.382882 0.923797i \(-0.374931\pi\)
\(888\) −13.0023 + 22.0670i −0.436329 + 0.740520i
\(889\) 9.98520 3.50478i 0.334893 0.117547i
\(890\) −9.87523 1.77134i −0.331018 0.0593755i
\(891\) 4.50832 2.60288i 0.151034 0.0871998i
\(892\) 15.6889 13.0075i 0.525303 0.435522i
\(893\) −39.7045 22.9234i −1.32866 0.767102i
\(894\) −1.26576 + 0.456474i −0.0423335 + 0.0152668i
\(895\) 11.5686 0.386694
\(896\) −27.7843 11.1371i −0.928207 0.372064i
\(897\) 38.8381 1.29677
\(898\) −27.6534 + 9.97268i −0.922807 + 0.332793i
\(899\) 27.1109 + 15.6525i 0.904201 + 0.522040i
\(900\) 10.7829 8.93998i 0.359430 0.297999i
\(901\) −4.89387 + 2.82548i −0.163039 + 0.0941304i
\(902\) −4.12971 0.740755i −0.137504 0.0246644i
\(903\) 1.08462 5.76276i 0.0360938 0.191773i
\(904\) 10.6860 18.1359i 0.355411 0.603190i
\(905\) 8.46506 + 14.6619i 0.281388 + 0.487379i
\(906\) −12.6539 + 14.9903i −0.420399 + 0.498019i
\(907\) 15.4636 + 8.92789i 0.513459 + 0.296446i 0.734254 0.678874i \(-0.237532\pi\)
−0.220795 + 0.975320i \(0.570865\pi\)
\(908\) −14.2594 + 2.42761i −0.473216 + 0.0805630i
\(909\) 38.6531i 1.28204i
\(910\) 9.28444 + 3.53205i 0.307776 + 0.117086i
\(911\) 48.4857 1.60640 0.803201 0.595708i \(-0.203129\pi\)
0.803201 + 0.595708i \(0.203129\pi\)
\(912\) 16.1426 85.6242i 0.534534 2.83530i
\(913\) 0.0991487 0.171731i 0.00328134 0.00568345i
\(914\) 32.3090 + 27.2734i 1.06869 + 0.902124i
\(915\) −16.9936 + 9.81129i −0.561793 + 0.324351i
\(916\) −8.92624 + 24.0813i −0.294931 + 0.795669i
\(917\) −11.0305 + 12.8427i −0.364258 + 0.424102i
\(918\) 21.2301 + 3.80808i 0.700696 + 0.125685i
\(919\) −19.7204 34.1568i −0.650517 1.12673i −0.982998 0.183619i \(-0.941219\pi\)
0.332480 0.943110i \(-0.392114\pi\)
\(920\) 11.3871 6.44058i 0.375422 0.212340i
\(921\) 8.87305 15.3686i 0.292377 0.506412i
\(922\) −3.57512 9.91353i −0.117740 0.326485i
\(923\) 4.05394i 0.133437i
\(924\) 4.57559 + 0.0796524i 0.150526 + 0.00262037i
\(925\) 2.86309i 0.0941380i
\(926\) −31.3676 + 11.3121i −1.03080 + 0.371739i
\(927\) −67.4125 + 116.762i −2.21412 + 3.83496i
\(928\) −19.6454 + 3.16580i −0.644893 + 0.103922i
\(929\) 7.33401 + 12.7029i 0.240621 + 0.416768i 0.960891 0.276926i \(-0.0893156\pi\)
−0.720270 + 0.693693i \(0.755982\pi\)
\(930\) −7.02796 + 39.1809i −0.230456 + 1.28479i
\(931\) 17.5268 44.9120i 0.574417 1.47193i
\(932\) −14.8591 5.50785i −0.486727 0.180415i
\(933\) −60.5230 + 34.9429i −1.98143 + 1.14398i
\(934\) −9.61956 + 11.3957i −0.314762 + 0.372877i
\(935\) 0.164676 0.285226i 0.00538547 0.00932790i
\(936\) 0.465722 52.5876i 0.0152226 1.71888i
\(937\) 16.7898 0.548498 0.274249 0.961659i \(-0.411571\pi\)
0.274249 + 0.961659i \(0.411571\pi\)
\(938\) −29.4424 + 4.75378i −0.961330 + 0.155216i
\(939\) 1.41136i 0.0460581i
\(940\) −13.1247 + 2.23442i −0.428081 + 0.0728789i
\(941\) 9.27873 + 5.35708i 0.302478 + 0.174636i 0.643556 0.765399i \(-0.277459\pi\)
−0.341078 + 0.940035i \(0.610792\pi\)
\(942\) 36.8479 + 31.1048i 1.20057 + 1.01345i
\(943\) 25.0918 + 43.4603i 0.817103 + 1.41526i
\(944\) −34.3780 + 40.0013i −1.11891 + 1.30193i
\(945\) −25.4141 21.8280i −0.826719 0.710063i
\(946\) −0.0478429 + 0.266724i −0.00155551 + 0.00867194i
\(947\) −29.4705 + 17.0148i −0.957663 + 0.552907i −0.895453 0.445156i \(-0.853148\pi\)
−0.0622097 + 0.998063i \(0.519815\pi\)
\(948\) −21.1519 25.5122i −0.686981 0.828598i
\(949\) 22.6167 + 13.0578i 0.734170 + 0.423873i
\(950\) 3.30425 + 9.16243i 0.107204 + 0.297268i
\(951\) 71.3909 2.31501
\(952\) 6.78539 + 5.93314i 0.219916 + 0.192294i
\(953\) 28.8335 0.934009 0.467004 0.884255i \(-0.345333\pi\)
0.467004 + 0.884255i \(0.345333\pi\)
\(954\) −15.7639 43.7120i −0.510374 1.41523i
\(955\) −3.93950 2.27447i −0.127479 0.0736001i
\(956\) 19.8059 16.4209i 0.640570 0.531089i
\(957\) 2.63462 1.52110i 0.0851653 0.0491702i
\(958\) −5.68441 + 31.6906i −0.183655 + 1.02388i
\(959\) 2.97334 15.7979i 0.0960142 0.510139i
\(960\) −12.2612 22.1333i −0.395729 0.714350i
\(961\) −24.0995 41.7416i −0.777405 1.34650i
\(962\) −8.21425 6.93400i −0.264838 0.223561i
\(963\) 72.8111 + 42.0375i 2.34631 + 1.35464i
\(964\) −1.95319 11.4728i −0.0629081 0.369514i
\(965\) 2.28545i 0.0735712i
\(966\) −34.5744 42.4350i −1.11241 1.36532i
\(967\) 4.27687 0.137535 0.0687674 0.997633i \(-0.478093\pi\)
0.0687674 + 0.997633i \(0.478093\pi\)
\(968\) 30.9000 + 0.273654i 0.993164 + 0.00879558i
\(969\) −13.1187 + 22.7223i −0.421434 + 0.729945i
\(970\) −5.10047 + 6.04219i −0.163766 + 0.194003i
\(971\) 31.0191 17.9089i 0.995449 0.574723i 0.0885504 0.996072i \(-0.471777\pi\)
0.906899 + 0.421349i \(0.138443\pi\)
\(972\) −15.4510 + 41.6838i −0.495590 + 1.33701i
\(973\) −16.4492 46.8642i −0.527338 1.50240i
\(974\) −3.36185 + 18.7423i −0.107720 + 0.600541i
\(975\) 4.19844 + 7.27191i 0.134458 + 0.232887i
\(976\) 8.21180 + 23.4185i 0.262853 + 0.749607i
\(977\) 9.39272 16.2687i 0.300500 0.520481i −0.675750 0.737131i \(-0.736180\pi\)
0.976249 + 0.216651i \(0.0695133\pi\)
\(978\) 79.7133 28.7471i 2.54895 0.919229i
\(979\) 1.93985i 0.0619977i
\(980\) −4.40602 13.2886i −0.140745 0.424489i
\(981\) 44.9287i 1.43446i
\(982\) −9.37096 25.9849i −0.299039 0.829211i
\(983\) −21.0596 + 36.4763i −0.671697 + 1.16341i 0.305726 + 0.952120i \(0.401101\pi\)
−0.977423 + 0.211294i \(0.932232\pi\)
\(984\) 84.4834 47.7840i 2.69323 1.52330i
\(985\) 3.34773 + 5.79843i 0.106667 + 0.184753i
\(986\) 5.89784 + 1.05791i 0.187825 + 0.0336907i
\(987\) 18.4486 + 52.5605i 0.587226 + 1.67302i
\(988\) 34.2895 + 12.7101i 1.09090 + 0.404363i
\(989\) 2.80696 1.62060i 0.0892560 0.0515320i
\(990\) 2.06948 + 1.74694i 0.0657725 + 0.0555213i
\(991\) 23.9597 41.4994i 0.761104 1.31827i −0.181178 0.983450i \(-0.557991\pi\)
0.942282 0.334821i \(-0.108676\pi\)
\(992\) 47.0472 + 17.9145i 1.49375 + 0.568786i
\(993\) −4.84305 −0.153690
\(994\) 4.42939 3.60889i 0.140492 0.114467i
\(995\) 15.5472i 0.492880i
\(996\) 0.769902 + 4.52230i 0.0243953 + 0.143295i
\(997\) 35.8719 + 20.7106i 1.13607 + 0.655912i 0.945455 0.325752i \(-0.105617\pi\)
0.190618 + 0.981664i \(0.438951\pi\)
\(998\) 23.2821 27.5808i 0.736982 0.873054i
\(999\) 18.1267 + 31.3963i 0.573502 + 0.993335i
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 280.2.bl.b.221.3 60
4.3 odd 2 1120.2.cb.b.81.2 60
7.2 even 3 inner 280.2.bl.b.261.23 yes 60
8.3 odd 2 1120.2.cb.b.81.29 60
8.5 even 2 inner 280.2.bl.b.221.23 yes 60
28.23 odd 6 1120.2.cb.b.401.29 60
56.37 even 6 inner 280.2.bl.b.261.3 yes 60
56.51 odd 6 1120.2.cb.b.401.2 60
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.bl.b.221.3 60 1.1 even 1 trivial
280.2.bl.b.221.23 yes 60 8.5 even 2 inner
280.2.bl.b.261.3 yes 60 56.37 even 6 inner
280.2.bl.b.261.23 yes 60 7.2 even 3 inner
1120.2.cb.b.81.2 60 4.3 odd 2
1120.2.cb.b.81.29 60 8.3 odd 2
1120.2.cb.b.401.2 60 56.51 odd 6
1120.2.cb.b.401.29 60 28.23 odd 6